From 2bb59c88d49b193f278916ad9cc4de83c0de9604 Mon Sep 17 00:00:00 2001 From: Johannes Ranke Date: Wed, 2 Mar 2022 18:03:54 +0100 Subject: Make tests more platform independent, update docs --- docs/reference/AIC.mmkin.html | 252 +- docs/reference/CAKE_export.html | 251 +- docs/reference/D24_2014.html | 311 +- docs/reference/DFOP.solution-1.png | Bin 31078 -> 31230 bytes docs/reference/DFOP.solution.html | 215 +- docs/reference/Extract.mmkin.html | 287 +- docs/reference/FOCUS_2006_DFOP_ref_A_to_B.html | 171 +- docs/reference/FOCUS_2006_FOMC_ref_A_to_F.html | 167 +- docs/reference/FOCUS_2006_HS_ref_A_to_F.html | 171 +- docs/reference/FOCUS_2006_SFO_ref_A_to_F.html | 163 +- docs/reference/FOCUS_2006_datasets.html | 182 +- docs/reference/FOMC.solution-1.png | Bin 28900 -> 29016 bytes docs/reference/FOMC.solution.html | 221 +- docs/reference/HS.solution-1.png | Bin 29354 -> 29376 bytes docs/reference/HS.solution.html | 217 +- docs/reference/IORE.solution-1.png | Bin 30028 -> 30069 bytes 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docs/reference/mean_degparms.html create mode 100644 docs/reference/nlmixr.mmkin-1.png create mode 100644 docs/reference/nlmixr.mmkin-2.png create mode 100644 docs/reference/nlmixr.mmkin.html create mode 100644 docs/reference/saem.html create mode 100644 docs/reference/summary.nlmixr.mmkin.html create mode 100644 docs/reference/summary.saem.mmkin.html create mode 100644 docs/reference/tffm0.html (limited to 'docs/reference') diff --git a/docs/reference/AIC.mmkin.html b/docs/reference/AIC.mmkin.html index fbc90802..35becede 100644 --- a/docs/reference/AIC.mmkin.html +++ b/docs/reference/AIC.mmkin.html @@ -1,68 +1,13 @@ - - - - - - - -Calculate the AIC for a column of an mmkin object — AIC.mmkin • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Calculate the AIC for a column of an mmkin object — AIC.mmkin • mkin - - + + - - -
-
- -
- -
+

Calculate the AIC for a column of an mmkin object

- Source: R/AIC.mmkin.R + Source: R/AIC.mmkin.R
@@ -149,102 +88,103 @@ same dataset." /> same dataset.

- 
# S3 method for mmkin
-AIC(object, ..., k = 2)
-
-# S3 method for mmkin
-BIC(object, ...)
- -

Arguments

- - - - - - - - - - - - - - -
object

An object of class mmkin, containing only one -column.

...

For compatibility with the generic method

k

As in the generic method

- -

Value

+
+ 
# S3 method for mmkin
+AIC(object, ..., k = 2)
+
+# S3 method for mmkin
+BIC(object, ...)
+
+
+

Arguments

+
object
+

An object of class mmkin, containing only one +column.

+
...
+

For compatibility with the generic method

+
k
+

As in the generic method

+
+
+

Value

As in the generic method (a numeric value for single fits, or a dataframe if there are several fits in the column).

-

Author

- +
+
+

Author

Johannes Ranke

+
-

Examples

- 

-   # skip, as it takes > 10 s on winbuilder
-  f <- mmkin(c("SFO", "FOMC", "DFOP"),
-    list("FOCUS A" = FOCUS_2006_A,
-         "FOCUS C" = FOCUS_2006_C), cores = 1, quiet = TRUE)
-  # We get a warning because the FOMC model does not converge for the
-  # FOCUS A dataset, as it is well described by SFO
-
-  AIC(f["SFO", "FOCUS A"]) # We get a single number for a single fit
-
#> [1] 55.28197
  AIC(f[["SFO", "FOCUS A"]]) # or when extracting an mkinfit object
-
#> [1] 55.28197

-  # For FOCUS A, the models fit almost equally well, so the higher the number
-  # of parameters, the higher (worse) the AIC
-  AIC(f[, "FOCUS A"])
-
#>      df      AIC
-#> SFO   3 55.28197
-#> FOMC  4 57.28222
-#> DFOP  5 59.28197
  AIC(f[, "FOCUS A"], k = 0) # If we do not penalize additional parameters, we get nearly the same
-
#>      df      AIC
-#> SFO   3 49.28197
-#> FOMC  4 49.28222
-#> DFOP  5 49.28197
  BIC(f[, "FOCUS A"])        # Comparing the BIC gives a very similar picture
-
#>      df      BIC
-#> SFO   3 55.52030
-#> FOMC  4 57.59999
-#> DFOP  5 59.67918

-  # For FOCUS C, the more complex models fit better
-  AIC(f[, "FOCUS C"])
-
#>      df      AIC
-#> SFO   3 59.29336
-#> FOMC  4 44.68652
-#> DFOP  5 29.02372
  BIC(f[, "FOCUS C"])
-
#>      df      BIC
-#> SFO   3 59.88504
-#> FOMC  4 45.47542
-#> DFOP  5 30.00984
  
-
-
+
+

Examples

+ 

+   # skip, as it takes > 10 s on winbuilder
+  f <- mmkin(c("SFO", "FOMC", "DFOP"),
+    list("FOCUS A" = FOCUS_2006_A,
+         "FOCUS C" = FOCUS_2006_C), cores = 1, quiet = TRUE)
+  # We get a warning because the FOMC model does not converge for the
+  # FOCUS A dataset, as it is well described by SFO
+
+  AIC(f["SFO", "FOCUS A"]) # We get a single number for a single fit
+#> [1] 55.28197
+  AIC(f[["SFO", "FOCUS A"]]) # or when extracting an mkinfit object
+#> [1] 55.28197
+
+  # For FOCUS A, the models fit almost equally well, so the higher the number
+  # of parameters, the higher (worse) the AIC
+  AIC(f[, "FOCUS A"])
+#>      df      AIC
+#> SFO   3 55.28197
+#> FOMC  4 57.28222
+#> DFOP  5 59.28197
+  AIC(f[, "FOCUS A"], k = 0) # If we do not penalize additional parameters, we get nearly the same
+#>      df      AIC
+#> SFO   3 49.28197
+#> FOMC  4 49.28222
+#> DFOP  5 49.28197
+  BIC(f[, "FOCUS A"])        # Comparing the BIC gives a very similar picture
+#>      df      BIC
+#> SFO   3 55.52030
+#> FOMC  4 57.59999
+#> DFOP  5 59.67918
+
+  # For FOCUS C, the more complex models fit better
+  AIC(f[, "FOCUS C"])
+#>      df      AIC
+#> SFO   3 59.29336
+#> FOMC  4 44.68652
+#> DFOP  5 29.02372
+  BIC(f[, "FOCUS C"])
+#>      df      BIC
+#> SFO   3 59.88504
+#> FOMC  4 45.47542
+#> DFOP  5 30.00984
+  
+
+
+
+
- - - + + diff --git a/docs/reference/CAKE_export.html b/docs/reference/CAKE_export.html index 05cd04a7..d36f5ed9 100644 --- a/docs/reference/CAKE_export.html +++ b/docs/reference/CAKE_export.html @@ -1,68 +1,13 @@ - - - - - - - -Export a list of datasets format to a CAKE study file — CAKE_export • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Export a list of datasets format to a CAKE study file — CAKE_export • mkin - - + + - - -
-
- -
- -
+

Export a list of datasets format to a CAKE study file

- Source: R/CAKE_export.R + Source: R/CAKE_export.R
@@ -149,116 +88,88 @@ specified as well." /> specified as well.

- 
CAKE_export(
-  ds,
-  map = c(parent = "Parent"),
-  links = NA,
-  filename = "CAKE_export.csf",
-  path = ".",
-  overwrite = FALSE,
-  study = "Codlemone aerobic soil degradation",
-  description = "",
-  time_unit = "days",
-  res_unit = "% AR",
-  comment = "Created using mkin::CAKE_export",
-  date = Sys.Date(),
-  optimiser = "IRLS"
-)
+
+ 
CAKE_export(
+  ds,
+  map = c(parent = "Parent"),
+  links = NA,
+  filename = "CAKE_export.csf",
+  path = ".",
+  overwrite = FALSE,
+  study = "Codlemone aerobic soil degradation",
+  description = "",
+  time_unit = "days",
+  res_unit = "% AR",
+  comment = "Created using mkin::CAKE_export",
+  date = Sys.Date(),
+  optimiser = "IRLS"
+)
+
-

Arguments

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
ds

A named list of datasets in long format as compatible with -mkinfit.

map

A character vector with CAKE compartment names (Parent, A1, ...), -named with the names used in the list of datasets.

links

An optional character vector of target compartments, named with +

+

Arguments

+
ds
+

A named list of datasets in long format as compatible with +mkinfit.

+
map
+

A character vector with CAKE compartment names (Parent, A1, ...), +named with the names used in the list of datasets.

+
links
+

An optional character vector of target compartments, named with the names of the source compartments. In order to make this easier, the -names are used as in the datasets supplied.

filename

Where to write the result. Should end in .csf in order to be -compatible with CAKE.

path

An optional path to the output file.

overwrite

If TRUE, existing files are overwritten.

study

The name of the study.

description

An optional description.

time_unit

The time unit for the residue data.

res_unit

The unit used for the residues.

comment

An optional comment.

date

The date of file creation.

optimiser

Can be OLS or IRLS.

- -

Value

- +names are used as in the datasets supplied.

+
filename
+

Where to write the result. Should end in .csf in order to be +compatible with CAKE.

+
path
+

An optional path to the output file.

+
overwrite
+

If TRUE, existing files are overwritten.

+
study
+

The name of the study.

+
description
+

An optional description.

+
time_unit
+

The time unit for the residue data.

+
res_unit
+

The unit used for the residues.

+
comment
+

An optional comment.

+
date
+

The date of file creation.

+
optimiser
+

Can be OLS or IRLS.

+
+
+

Value

The function is called for its side effect.

-

Author

- +
+
+

Author

Johannes Ranke

+
+
- - - + + diff --git a/docs/reference/D24_2014.html b/docs/reference/D24_2014.html index c59bfad6..b18e6285 100644 --- a/docs/reference/D24_2014.html +++ b/docs/reference/D24_2014.html @@ -1,72 +1,17 @@ - - - - - - - -Aerobic soil degradation data on 2,4-D from the EU assessment in 2014 — D24_2014 • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Aerobic soil degradation data on 2,4-D from the EU assessment in 2014 — D24_2014 • mkin - - - - - - - - - - + + - - - -
-
- -
- -
+

Aerobic soil degradation data on 2,4-D from the EU assessment in 2014

- Source: R/D24_2014.R + Source: R/D24_2014.R
@@ -157,20 +96,23 @@ context of pesticide registrations, as the use of the data may be constrained by data protection regulations.

- 
D24_2014
- - -

Format

- -

An mkindsg object grouping five datasets

-

Source

+
+ 
D24_2014
+
+
+

Format

+

An mkindsg object grouping five datasets

+
+
+

Source

Hellenic Ministry of Rural Development and Agriculture (2014) Final addendum to the Renewal Assessment Report - public version - 2,4-D Volume 3 Annex B.8 Fate and behaviour in the environment -http://registerofquestions.efsa.europa.eu/roqFrontend/outputLoader?output=ON-3812

-

Details

- +http://registerofquestions.efsa.europa.eu/roqFrontend/outputLoader?output=ON-3812

+
+
+

Details

Data for the first dataset are from p. 685. Data for the other four datasets were used in the preprocessed versions given in the kinetics section (p. 761ff.), with the exception of residues smaller than 1 for DCP @@ -178,114 +120,119 @@ in the soil from Site I2, where the values given on p. 694 were used.

The R code used to create this data object is installed with this package in the 'dataset_generation' directory. In the code, page numbers are given for specific pieces of information in the comments.

+
-

Examples

- 
print(D24_2014)
-
#> <mkindsg> holding 5 mkinds objects
-#> Title $title:  Aerobic soil degradation data on 2,4-D from the EU assessment in 2014 
-#> Occurrence of observed compounds $observed_n:
-#> D24 DCP DCA 
-#>   5   4   4 
-#> Time normalisation factors $f_time_norm:
-#> [1] 1.6062378 0.7118732 0.7156063 0.7156063 0.8977124
-#> Meta information $meta:
-#>                                 study usda_soil_type study_moisture_ref_type
-#> Mississippi                Cohen 1991      Silt loam                    <NA>
-#> Fayette     Liu and Adelfinskaya 2011      Silt loam                     pF1
-#> RefSol 03-G Liu and Adelfinskaya 2011           Loam                     pF1
-#> Site E1     Liu and Adelfinskaya 2011           Loam                     pF1
-#> Site I2     Liu and Adelfinskaya 2011     Loamy sand                     pF1
-#>             rel_moisture temperature
-#> Mississippi           NA          25
-#> Fayette              0.5          20
-#> RefSol 03-G          0.5          20
-#> Site E1              0.5          20
-#> Site I2              0.5          20
# \dontrun{
-print(D24_2014$ds[[1]], data = TRUE)
-
#> <mkinds> with $title:  Mississippi 
-#> Observed compounds $observed:  D24 
-#> Sampling times $sampling_times:
-#> 0, 2, 4, 7, 15, 24, 35, 56, 71, 114, 183, 273, 365 
-#> With a maximum of  1  replicates
-#>    time  D24
-#> 1     0 96.8
-#> 2     2 81.0
-#> 3     4 81.7
-#> 4     7 88.2
-#> 5    15 66.3
-#> 6    24 72.9
-#> 7    35 62.6
-#> 8    56 54.6
-#> 9    71 35.2
-#> 10  114 18.0
-#> 11  183 11.3
-#> 12  273  9.9
-#> 13  365  6.3
m_D24 = mkinmod(D24 = mkinsub("SFO", to = "DCP"),
-  DCP = mkinsub("SFO", to = "DCA"),
-  DCA = mkinsub("SFO"))
-
#> Temporary DLL for differentials generated and loaded
print(m_D24)
-
#> <mkinmod> model generated with
-#> Use of formation fractions $use_of_ff: max 
-#> Specification $spec:
-#> $D24
-#> $type: SFO; $to: DCP; $sink: TRUE
-#> $DCP
-#> $type: SFO; $to: DCA; $sink: TRUE
-#> $DCA
-#> $type: SFO; $sink: TRUE
-#> Coefficient matrix $coefmat available
-#> Compiled model $cf available
-#> Differential equations:
-#> d_D24/dt = - k_D24 * D24
-#> d_DCP/dt = + f_D24_to_DCP * k_D24 * D24 - k_DCP * DCP
-#> d_DCA/dt = + f_DCP_to_DCA * k_DCP * DCP - k_DCA * DCA
m_D24_2 = mkinmod(D24 = mkinsub("DFOP", to = "DCP"),
-  DCP = mkinsub("SFO", to = "DCA"),
-  DCA = mkinsub("SFO"))
-
#> Temporary DLL for differentials generated and loaded
print(m_D24_2)
-
#> <mkinmod> model generated with
-#> Use of formation fractions $use_of_ff: max 
-#> Specification $spec:
-#> $D24
-#> $type: DFOP; $to: DCP; $sink: TRUE
-#> $DCP
-#> $type: SFO; $to: DCA; $sink: TRUE
-#> $DCA
-#> $type: SFO; $sink: TRUE
-#> Compiled model $cf available
-#> Differential equations:
-#> d_D24/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) * exp(-k2 *
-#>            time)) / (g * exp(-k1 * time) + (1 - g) * exp(-k2 * time)))
-#>            * D24
-#> d_DCP/dt = + f_D24_to_DCP * ((k1 * g * exp(-k1 * time) + k2 * (1 - g) *
-#>            exp(-k2 * time)) / (g * exp(-k1 * time) + (1 - g) * exp(-k2
-#>            * time))) * D24 - k_DCP * DCP
-#> d_DCA/dt = + f_DCP_to_DCA * k_DCP * DCP - k_DCA * DCA
# }
-
+
+

Examples

+ 
print(D24_2014)
+#> <mkindsg> holding 5 mkinds objects
+#> Title $title:  Aerobic soil degradation data on 2,4-D from the EU assessment in 2014 
+#> Occurrence of observed compounds $observed_n:
+#> D24 DCP DCA 
+#>   5   4   4 
+#> Time normalisation factors $f_time_norm:
+#> [1] 1.6062378 0.7118732 0.7156063 0.7156063 0.8977124
+#> Meta information $meta:
+#>                                 study usda_soil_type study_moisture_ref_type
+#> Mississippi                Cohen 1991      Silt loam                    <NA>
+#> Fayette     Liu and Adelfinskaya 2011      Silt loam                     pF1
+#> RefSol 03-G Liu and Adelfinskaya 2011           Loam                     pF1
+#> Site E1     Liu and Adelfinskaya 2011           Loam                     pF1
+#> Site I2     Liu and Adelfinskaya 2011     Loamy sand                     pF1
+#>             rel_moisture temperature
+#> Mississippi           NA          25
+#> Fayette              0.5          20
+#> RefSol 03-G          0.5          20
+#> Site E1              0.5          20
+#> Site I2              0.5          20
+# \dontrun{
+print(D24_2014$ds[[1]], data = TRUE)
+#> <mkinds> with $title:  Mississippi 
+#> Observed compounds $observed:  D24 
+#> Sampling times $sampling_times:
+#> 0, 2, 4, 7, 15, 24, 35, 56, 71, 114, 183, 273, 365 
+#> With a maximum of  1  replicates
+#>    time  D24
+#> 1     0 96.8
+#> 2     2 81.0
+#> 3     4 81.7
+#> 4     7 88.2
+#> 5    15 66.3
+#> 6    24 72.9
+#> 7    35 62.6
+#> 8    56 54.6
+#> 9    71 35.2
+#> 10  114 18.0
+#> 11  183 11.3
+#> 12  273  9.9
+#> 13  365  6.3
+m_D24 = mkinmod(D24 = mkinsub("SFO", to = "DCP"),
+  DCP = mkinsub("SFO", to = "DCA"),
+  DCA = mkinsub("SFO"))
+#> Temporary DLL for differentials generated and loaded
+print(m_D24)
+#> <mkinmod> model generated with
+#> Use of formation fractions $use_of_ff: max 
+#> Specification $spec:
+#> $D24
+#> $type: SFO; $to: DCP; $sink: TRUE
+#> $DCP
+#> $type: SFO; $to: DCA; $sink: TRUE
+#> $DCA
+#> $type: SFO; $sink: TRUE
+#> Coefficient matrix $coefmat available
+#> Compiled model $cf available
+#> Differential equations:
+#> d_D24/dt = - k_D24 * D24
+#> d_DCP/dt = + f_D24_to_DCP * k_D24 * D24 - k_DCP * DCP
+#> d_DCA/dt = + f_DCP_to_DCA * k_DCP * DCP - k_DCA * DCA
+m_D24_2 = mkinmod(D24 = mkinsub("DFOP", to = "DCP"),
+  DCP = mkinsub("SFO", to = "DCA"),
+  DCA = mkinsub("SFO"))
+#> Temporary DLL for differentials generated and loaded
+print(m_D24_2)
+#> <mkinmod> model generated with
+#> Use of formation fractions $use_of_ff: max 
+#> Specification $spec:
+#> $D24
+#> $type: DFOP; $to: DCP; $sink: TRUE
+#> $DCP
+#> $type: SFO; $to: DCA; $sink: TRUE
+#> $DCA
+#> $type: SFO; $sink: TRUE
+#> Compiled model $cf available
+#> Differential equations:
+#> d_D24/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) * exp(-k2 *
+#>            time)) / (g * exp(-k1 * time) + (1 - g) * exp(-k2 * time)))
+#>            * D24
+#> d_DCP/dt = + f_D24_to_DCP * ((k1 * g * exp(-k1 * time) + k2 * (1 - g) *
+#>            exp(-k2 * time)) / (g * exp(-k1 * time) + (1 - g) * exp(-k2
+#>            * time))) * D24 - k_DCP * DCP
+#> d_DCA/dt = + f_DCP_to_DCA * k_DCP * DCP - k_DCA * DCA
+# }
+
+
+
- - - + + diff --git a/docs/reference/DFOP.solution-1.png b/docs/reference/DFOP.solution-1.png index 616e19d5..5ebba336 100644 Binary files a/docs/reference/DFOP.solution-1.png and b/docs/reference/DFOP.solution-1.png differ diff --git a/docs/reference/DFOP.solution.html b/docs/reference/DFOP.solution.html index d04f98cc..335590f7 100644 --- a/docs/reference/DFOP.solution.html +++ b/docs/reference/DFOP.solution.html @@ -1,68 +1,13 @@ - - - - - - - -Double First-Order in Parallel kinetics — DFOP.solution • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Double First-Order in Parallel kinetics — DFOP.solution • mkin + + - - - - -
-
- -
- -
+

Double First-Order in Parallel kinetics

- Source: R/parent_solutions.R + Source: R/parent_solutions.R
@@ -149,89 +88,81 @@ two exponential decline functions." /> two exponential decline functions.

- 
DFOP.solution(t, parent_0, k1, k2, g)
- -

Arguments

- - - - - - - - - - - - - - - - - - - - - - -
t

Time.

parent_0

Starting value for the response variable at time zero.

k1

First kinetic constant.

k2

Second kinetic constant.

g

Fraction of the starting value declining according to the first -kinetic constant.

- -

Value

+
+ 
DFOP.solution(t, parent_0, k1, k2, g)
+
+
+

Arguments

+
t
+

Time.

+
parent_0
+

Starting value for the response variable at time zero.

+
k1
+

First kinetic constant.

+
k2
+

Second kinetic constant.

+
g
+

Fraction of the starting value declining according to the first +kinetic constant.

+
+
+

Value

The value of the response variable at time t.

-

References

- -

FOCUS (2006) “Guidance Document on Estimating Persistence +

+
+

References

+

FOCUS (2006) “Guidance Document on Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in -EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, +EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, EC Document Reference Sanco/10058/2005 version 2.0, 434 pp, -http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics -FOCUS (2014) “Generic guidance for Estimating Persistence +http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics +FOCUS (2014) “Generic guidance for Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in -EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, +EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, Version 1.1, 18 December 2014 -http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

-

See also

- -

Other parent solutions: -FOMC.solution(), -HS.solution(), -IORE.solution(), -SFO.solution(), -SFORB.solution(), -logistic.solution()

- -

Examples

- 

-  plot(function(x) DFOP.solution(x, 100, 5, 0.5, 0.3), 0, 4, ylim = c(0,100))
-

-
+http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

+
+
+

See also

+

Other parent solutions: +FOMC.solution(), +HS.solution(), +IORE.solution(), +SFO.solution(), +SFORB.solution(), +logistic.solution()

+
+ +
+

Examples

+ 

+  plot(function(x) DFOP.solution(x, 100, 5, 0.5, 0.3), 0, 4, ylim = c(0,100))
+
+
+
+
+
- - - + + diff --git a/docs/reference/Extract.mmkin.html b/docs/reference/Extract.mmkin.html index b1c73ba5..49578dc7 100644 --- a/docs/reference/Extract.mmkin.html +++ b/docs/reference/Extract.mmkin.html @@ -1,67 +1,12 @@ - - - - - - - -Subsetting method for mmkin objects — [.mmkin • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Subsetting method for mmkin objects — [.mmkin • mkin + + - - - - -
-
- -
- -
+

Subsetting method for mmkin objects

- Source: R/mmkin.R + Source: R/mmkin.R
@@ -147,122 +86,116 @@

Subsetting method for mmkin objects

- 
# S3 method for mmkin
-[(x, i, j, ..., drop = FALSE)
- -

Arguments

- - - - - - - - - - - - - - - - - - - - - - -
x

An mmkin object

i

Row index selecting the fits for specific models

j

Column index selecting the fits to specific datasets

...

Not used, only there to satisfy the generic method definition

drop

If FALSE, the method always returns an mmkin object, otherwise -either a list of mkinfit objects or a single mkinfit object.

- -

Value

- -

An object of class mmkin.

-

Author

+
+ 
# S3 method for mmkin
+[(x, i, j, ..., drop = FALSE)
+
+
+

Arguments

+
x
+

An mmkin object

+
i
+

Row index selecting the fits for specific models

+
j
+

Column index selecting the fits to specific datasets

+
...
+

Not used, only there to satisfy the generic method definition

+
drop
+

If FALSE, the method always returns an mmkin object, otherwise +either a list of mkinfit objects or a single mkinfit object.

+
+
+

Value

+

An object of class mmkin.

+
+
+

Author

Johannes Ranke

+
-

Examples

- 

-  # Only use one core, to pass R CMD check --as-cran
-  fits <- mmkin(c("SFO", "FOMC"), list(B = FOCUS_2006_B, C = FOCUS_2006_C),
-                cores = 1, quiet = TRUE)
-  fits["FOMC", ]
-
#> <mmkin> object
-#> Status of individual fits:
-#> 
-#>       dataset
-#> model  B  C 
-#>   FOMC OK OK
-#> 
-#> OK: No warnings
  fits[, "B"]
-
#> <mmkin> object
-#> Status of individual fits:
-#> 
-#>       dataset
-#> model  B 
-#>   SFO  OK
-#>   FOMC OK
-#> 
-#> OK: No warnings
  fits["SFO", "B"]
-
#> <mmkin> object
-#> Status of individual fits:
-#> 
-#>      dataset
-#> model B 
-#>   SFO OK
-#> 
-#> OK: No warnings

-  head(
-    # This extracts an mkinfit object with lots of components
-    fits[["FOMC", "B"]]
-  )
-
#> $par
-#>  parent_0 log_alpha  log_beta     sigma 
-#> 99.666192  2.549850  5.050586  1.890202 
-#> 
-#> $objective
-#> [1] 28.58291
-#> 
-#> $convergence
-#> [1] 0
-#> 
-#> $iterations
-#> [1] 21
-#> 
-#> $evaluations
-#> function gradient 
-#>       25       78 
-#> 
-#> $message
-#> [1] "both X-convergence and relative convergence (5)"
-#>
+
+

Examples

+ 

+  # Only use one core, to pass R CMD check --as-cran
+  fits <- mmkin(c("SFO", "FOMC"), list(B = FOCUS_2006_B, C = FOCUS_2006_C),
+                cores = 1, quiet = TRUE)
+  fits["FOMC", ]
+#> <mmkin> object
+#> Status of individual fits:
+#> 
+#>       dataset
+#> model  B  C 
+#>   FOMC OK OK
+#> 
+#> OK: No warnings
+  fits[, "B"]
+#> <mmkin> object
+#> Status of individual fits:
+#> 
+#>       dataset
+#> model  B 
+#>   SFO  OK
+#>   FOMC OK
+#> 
+#> OK: No warnings
+  fits["SFO", "B"]
+#> <mmkin> object
+#> Status of individual fits:
+#> 
+#>      dataset
+#> model B 
+#>   SFO OK
+#> 
+#> OK: No warnings
+
+  head(
+    # This extracts an mkinfit object with lots of components
+    fits[["FOMC", "B"]]
+  )
+#> $par
+#>  parent_0 log_alpha  log_beta     sigma 
+#> 99.666192  2.549850  5.050586  1.890202 
+#> 
+#> $objective
+#> [1] 28.58291
+#> 
+#> $convergence
+#> [1] 0
+#> 
+#> $iterations
+#> [1] 21
+#> 
+#> $evaluations
+#> function gradient 
+#>       25       78 
+#> 
+#> $message
+#> [1] "both X-convergence and relative convergence (5)"
+#> 
+
+
+
- - - + + diff --git a/docs/reference/FOCUS_2006_DFOP_ref_A_to_B.html b/docs/reference/FOCUS_2006_DFOP_ref_A_to_B.html index ba1cb19a..c8bfb9dd 100644 --- a/docs/reference/FOCUS_2006_DFOP_ref_A_to_B.html +++ b/docs/reference/FOCUS_2006_DFOP_ref_A_to_B.html @@ -1,71 +1,16 @@ - - - - - - - -Results of fitting the DFOP model to Datasets A to B of FOCUS (2006) — FOCUS_2006_DFOP_ref_A_to_B • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Results of fitting the DFOP model to Datasets A to B of FOCUS (2006) — FOCUS_2006_DFOP_ref_A_to_B • mkin - - - - - - - - - - - - - + + -
-
- -
- -
+

Results of fitting the DFOP model to Datasets A to B of FOCUS (2006)

@@ -155,59 +94,73 @@ the initial concentration of the parent compound was fixed to a value of 100 in this fit.

- 
FOCUS_2006_DFOP_ref_A_to_B
+
+ 
FOCUS_2006_DFOP_ref_A_to_B
+
+ +
+

Format

+

A data frame containing the following variables.

package
+

a factor giving the name of the software package

+
M0
+

The fitted initial concentration of the parent compound

-

Format

+
f
+

The fitted f parameter

-

A data frame containing the following variables.

-
package

a factor giving the name of the software package

-
M0

The fitted initial concentration of the parent compound

-
f

The fitted f parameter

-
k1

The fitted k1 parameter

-
k2

The fitted k2 parameter

-
DT50

The resulting half-life of the parent compound

-
DT90

The resulting DT90 of the parent compound

-
dataset

The FOCUS dataset that was used

- -
+
k1
+

The fitted k1 parameter

+ +
k2
+

The fitted k2 parameter

+ +
DT50
+

The resulting half-life of the parent compound

+ +
DT90
+

The resulting DT90 of the parent compound

-

Source

+
dataset
+

The FOCUS dataset that was used

-

FOCUS (2006) “Guidance Document on Estimating Persistence and + +

+
+

Source

+

FOCUS (2006) “Guidance Document on Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in EU - Registration” Report of the FOCUS Work Group on Degradation Kinetics, + Registration” Report of the FOCUS Work Group on Degradation Kinetics, EC Document Reference Sanco/10058/2005 version 2.0, 434 pp, - http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

+ http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

+
-

Examples

- 
data(FOCUS_2006_DFOP_ref_A_to_B)
-
+
+

Examples

+ 
data(FOCUS_2006_DFOP_ref_A_to_B)
+
+
+
-
-
-

Developed by Johannes Ranke.

+
+

Developed by Johannes Ranke.

-

Site built with pkgdown 1.6.1.

+

Site built with pkgdown 2.0.2.

-
-
+
- - + + diff --git a/docs/reference/FOCUS_2006_FOMC_ref_A_to_F.html b/docs/reference/FOCUS_2006_FOMC_ref_A_to_F.html index cfb60536..c332446f 100644 --- a/docs/reference/FOCUS_2006_FOMC_ref_A_to_F.html +++ b/docs/reference/FOCUS_2006_FOMC_ref_A_to_F.html @@ -1,71 +1,16 @@ - - - - - - - -Results of fitting the FOMC model to Datasets A to F of FOCUS (2006) — FOCUS_2006_FOMC_ref_A_to_F • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Results of fitting the FOMC model to Datasets A to F of FOCUS (2006) — FOCUS_2006_FOMC_ref_A_to_F • mkin - - - - - - - - - - - - - + + -
-
- -
- -
+

Results of fitting the FOMC model to Datasets A to F of FOCUS (2006)

@@ -155,58 +94,70 @@ the initial concentration of the parent compound was fixed to a value of 100 in this fit.

- 
FOCUS_2006_FOMC_ref_A_to_F
+
+ 
FOCUS_2006_FOMC_ref_A_to_F
+
+
+

Format

+

A data frame containing the following variables.

package
+

a factor giving the name of the software package

-

Format

+
M0
+

The fitted initial concentration of the parent compound

-

A data frame containing the following variables.

-
package

a factor giving the name of the software package

-
M0

The fitted initial concentration of the parent compound

-
alpha

The fitted alpha parameter

-
beta

The fitted beta parameter

-
DT50

The resulting half-life of the parent compound

-
DT90

The resulting DT90 of the parent compound

-
dataset

The FOCUS dataset that was used

- -
+
alpha
+

The fitted alpha parameter

+ +
beta
+

The fitted beta parameter

+ +
DT50
+

The resulting half-life of the parent compound

-

Source

+
DT90
+

The resulting DT90 of the parent compound

-

FOCUS (2006) “Guidance Document on Estimating Persistence and +

dataset
+

The FOCUS dataset that was used

+ + +
+
+

Source

+

FOCUS (2006) “Guidance Document on Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in EU - Registration” Report of the FOCUS Work Group on Degradation Kinetics, + Registration” Report of the FOCUS Work Group on Degradation Kinetics, EC Document Reference Sanco/10058/2005 version 2.0, 434 pp, - http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

+ http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

+
-

Examples

- 
data(FOCUS_2006_FOMC_ref_A_to_F)
-
+
+

Examples

+ 
data(FOCUS_2006_FOMC_ref_A_to_F)
+
+
+
-
-
-

Developed by Johannes Ranke.

+
+

Developed by Johannes Ranke.

-

Site built with pkgdown 1.6.1.

+

Site built with pkgdown 2.0.2.

-
-
+
- - + + diff --git a/docs/reference/FOCUS_2006_HS_ref_A_to_F.html b/docs/reference/FOCUS_2006_HS_ref_A_to_F.html index c90bcdbb..151925d9 100644 --- a/docs/reference/FOCUS_2006_HS_ref_A_to_F.html +++ b/docs/reference/FOCUS_2006_HS_ref_A_to_F.html @@ -1,71 +1,16 @@ - - - - - - - -Results of fitting the HS model to Datasets A to F of FOCUS (2006) — FOCUS_2006_HS_ref_A_to_F • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Results of fitting the HS model to Datasets A to F of FOCUS (2006) — FOCUS_2006_HS_ref_A_to_F • mkin - - - - - - - - - - - - - + + -
-
- -
- -
+

Results of fitting the HS model to Datasets A to F of FOCUS (2006)

@@ -155,59 +94,73 @@ the initial concentration of the parent compound was fixed to a value of 100 in this fit.

- 
FOCUS_2006_HS_ref_A_to_F
+
+ 
FOCUS_2006_HS_ref_A_to_F
+
+ +
+

Format

+

A data frame containing the following variables.

package
+

a factor giving the name of the software package

+
M0
+

The fitted initial concentration of the parent compound

-

Format

+
tb
+

The fitted tb parameter

-

A data frame containing the following variables.

-
package

a factor giving the name of the software package

-
M0

The fitted initial concentration of the parent compound

-
tb

The fitted tb parameter

-
k1

The fitted k1 parameter

-
k2

The fitted k2 parameter

-
DT50

The resulting half-life of the parent compound

-
DT90

The resulting DT90 of the parent compound

-
dataset

The FOCUS dataset that was used

- -
+
k1
+

The fitted k1 parameter

+ +
k2
+

The fitted k2 parameter

+ +
DT50
+

The resulting half-life of the parent compound

+ +
DT90
+

The resulting DT90 of the parent compound

-

Source

+
dataset
+

The FOCUS dataset that was used

-

FOCUS (2006) “Guidance Document on Estimating Persistence and + +

+
+

Source

+

FOCUS (2006) “Guidance Document on Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in EU - Registration” Report of the FOCUS Work Group on Degradation Kinetics, + Registration” Report of the FOCUS Work Group on Degradation Kinetics, EC Document Reference Sanco/10058/2005 version 2.0, 434 pp, - http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

+ http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

+
-

Examples

- 
data(FOCUS_2006_HS_ref_A_to_F)
-
+
+

Examples

+ 
data(FOCUS_2006_HS_ref_A_to_F)
+
+
+
-
-
-

Developed by Johannes Ranke.

+
+

Developed by Johannes Ranke.

-

Site built with pkgdown 1.6.1.

+

Site built with pkgdown 2.0.2.

-
-
+
- - + + diff --git a/docs/reference/FOCUS_2006_SFO_ref_A_to_F.html b/docs/reference/FOCUS_2006_SFO_ref_A_to_F.html index 7b2747dc..f8e368cf 100644 --- a/docs/reference/FOCUS_2006_SFO_ref_A_to_F.html +++ b/docs/reference/FOCUS_2006_SFO_ref_A_to_F.html @@ -1,71 +1,16 @@ - - - - - - - -Results of fitting the SFO model to Datasets A to F of FOCUS (2006) — FOCUS_2006_SFO_ref_A_to_F • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Results of fitting the SFO model to Datasets A to F of FOCUS (2006) — FOCUS_2006_SFO_ref_A_to_F • mkin - - - - - - - - - - - - - + + -
-
- -
- -
+

Results of fitting the SFO model to Datasets A to F of FOCUS (2006)

@@ -155,57 +94,67 @@ the initial concentration of the parent compound was fixed to a value of 100 in this fit.

- 
FOCUS_2006_SFO_ref_A_to_F
+
+ 
FOCUS_2006_SFO_ref_A_to_F
+
+
+

Format

+

A data frame containing the following variables.

package
+

a factor giving the name of the software package

-

Format

+
M0
+

The fitted initial concentration of the parent compound

-

A data frame containing the following variables.

-
package

a factor giving the name of the software package

-
M0

The fitted initial concentration of the parent compound

-
k

The fitted first-order degradation rate constant

-
DT50

The resulting half-life of the parent compound

-
DT90

The resulting DT90 of the parent compound

-
dataset

The FOCUS dataset that was used

- -
+
k
+

The fitted first-order degradation rate constant

+ +
DT50
+

The resulting half-life of the parent compound

-

Source

+
DT90
+

The resulting DT90 of the parent compound

-

FOCUS (2006) “Guidance Document on Estimating Persistence and +

dataset
+

The FOCUS dataset that was used

+ + +
+
+

Source

+

FOCUS (2006) “Guidance Document on Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in EU - Registration” Report of the FOCUS Work Group on Degradation Kinetics, + Registration” Report of the FOCUS Work Group on Degradation Kinetics, EC Document Reference Sanco/10058/2005 version 2.0, 434 pp, - http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

+ http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

+
-

Examples

- 
data(FOCUS_2006_SFO_ref_A_to_F)
-
+
+

Examples

+ 
data(FOCUS_2006_SFO_ref_A_to_F)
+
+
+
-
-
-

Developed by Johannes Ranke.

+
+

Developed by Johannes Ranke.

-

Site built with pkgdown 1.6.1.

+

Site built with pkgdown 2.0.2.

-
-
+
- - + + diff --git a/docs/reference/FOCUS_2006_datasets.html b/docs/reference/FOCUS_2006_datasets.html index 7a39dcd0..a1004d39 100644 --- a/docs/reference/FOCUS_2006_datasets.html +++ b/docs/reference/FOCUS_2006_datasets.html @@ -1,67 +1,12 @@ - - - - - - - -Datasets A to F from the FOCUS Kinetics report from 2006 — FOCUS_2006_datasets • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Datasets A to F from the FOCUS Kinetics report from 2006 — FOCUS_2006_datasets • mkin - - - - + + -
-
- -
- -
+

Datasets A to F from the FOCUS Kinetics report from 2006

@@ -147,68 +86,73 @@

Data taken from FOCUS (2006), p. 258.

- 
FOCUS_2006_A
-  FOCUS_2006_B
-  FOCUS_2006_C
-  FOCUS_2006_D
-  FOCUS_2006_E
-  FOCUS_2006_F
- +
+ 
FOCUS_2006_A
+  FOCUS_2006_B
+  FOCUS_2006_C
+  FOCUS_2006_D
+  FOCUS_2006_E
+  FOCUS_2006_F
+
-

Format

+
+

Format

+

6 datasets with observations on the following variables.

name
+

a factor containing the name of the observed variable

-

6 datasets with observations on the following variables.

-
name

a factor containing the name of the observed variable

-
time

a numeric vector containing time points

-
value

a numeric vector containing concentrations in percent of applied radioactivity

- -
+
time
+

a numeric vector containing time points

-

Source

+
value
+

a numeric vector containing concentrations in percent of applied radioactivity

-

FOCUS (2006) “Guidance Document on Estimating Persistence and + +

+
+

Source

+

FOCUS (2006) “Guidance Document on Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in EU - Registration” Report of the FOCUS Work Group on Degradation Kinetics, + Registration” Report of the FOCUS Work Group on Degradation Kinetics, EC Document Reference Sanco/10058/2005 version 2.0, 434 pp, - http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

- -

Examples

- 
FOCUS_2006_C
-
#>     name time value
-#> 1 parent    0  85.1
-#> 2 parent    1  57.9
-#> 3 parent    3  29.9
-#> 4 parent    7  14.6
-#> 5 parent   14   9.7
-#> 6 parent   28   6.6
-#> 7 parent   63   4.0
-#> 8 parent   91   3.9
-#> 9 parent  119   0.6
+ http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

+
+ +
+

Examples

+ 
FOCUS_2006_C
+#>     name time value
+#> 1 parent    0  85.1
+#> 2 parent    1  57.9
+#> 3 parent    3  29.9
+#> 4 parent    7  14.6
+#> 5 parent   14   9.7
+#> 6 parent   28   6.6
+#> 7 parent   63   4.0
+#> 8 parent   91   3.9
+#> 9 parent  119   0.6
+
+
+
-
-
-

Developed by Johannes Ranke.

+
+

Developed by Johannes Ranke.

-

Site built with pkgdown 1.6.1.

+

Site built with pkgdown 2.0.2.

-
-
+
- - + + diff --git a/docs/reference/FOMC.solution-1.png b/docs/reference/FOMC.solution-1.png index 1d32355a..9d222d42 100644 Binary files a/docs/reference/FOMC.solution-1.png and b/docs/reference/FOMC.solution-1.png differ diff --git a/docs/reference/FOMC.solution.html b/docs/reference/FOMC.solution.html index 9136b882..9e3851fd 100644 --- a/docs/reference/FOMC.solution.html +++ b/docs/reference/FOMC.solution.html @@ -1,68 +1,13 @@ - - - - - - - -First-Order Multi-Compartment kinetics — FOMC.solution • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -First-Order Multi-Compartment kinetics — FOMC.solution • mkin - - + + - - -
-
- -
- -
+

First-Order Multi-Compartment kinetics

- Source: R/parent_solutions.R + Source: R/parent_solutions.R
@@ -149,98 +88,94 @@ a decreasing rate constant." /> a decreasing rate constant.

- 
FOMC.solution(t, parent_0, alpha, beta)
- -

Arguments

- - - - - - - - - - - - - - - - - - -
t

Time.

parent_0

Starting value for the response variable at time zero.

alpha

Shape parameter determined by coefficient of variation of rate -constant values.

beta

Location parameter.

- -

Value

+
+ 
FOMC.solution(t, parent_0, alpha, beta)
+
+
+

Arguments

+
t
+

Time.

+
parent_0
+

Starting value for the response variable at time zero.

+
alpha
+

Shape parameter determined by coefficient of variation of rate +constant values.

+
beta
+

Location parameter.

+
+
+

Value

The value of the response variable at time t.

-

Details

- +
+
+

Details

The form given here differs slightly from the original reference by Gustafson and Holden (1990). The parameter beta corresponds to 1/beta in the original equation.

-

Note

- +
+
+

Note

The solution of the FOMC kinetic model reduces to the -SFO.solution for large values of alpha and +SFO.solution for large values of alpha and beta with \(k = \frac{\beta}{\alpha}\).

-

References

- -

FOCUS (2006) “Guidance Document on Estimating Persistence +

+
+

References

+

FOCUS (2006) “Guidance Document on Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in -EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, +EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, EC Document Reference Sanco/10058/2005 version 2.0, 434 pp, -http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

-

FOCUS (2014) “Generic guidance for Estimating Persistence +http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

+

FOCUS (2014) “Generic guidance for Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in -EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, +EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, Version 1.1, 18 December 2014 -http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

+http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

Gustafson DI and Holden LR (1990) Nonlinear pesticide dissipation in soil: A new model based on spatial variability. Environmental Science and Technology 24, 1032-1038

-

See also

- -

Other parent solutions: -DFOP.solution(), -HS.solution(), -IORE.solution(), -SFO.solution(), -SFORB.solution(), -logistic.solution()

- -

Examples

- 

-  plot(function(x) FOMC.solution(x, 100, 10, 2), 0, 2, ylim = c(0, 100))
-

-
+
+
+

See also

+

Other parent solutions: +DFOP.solution(), +HS.solution(), +IORE.solution(), +SFO.solution(), +SFORB.solution(), +logistic.solution()

+
+ +
+

Examples

+ 

+  plot(function(x) FOMC.solution(x, 100, 10, 2), 0, 2, ylim = c(0, 100))
+
+
+
+
+
- - - + + diff --git a/docs/reference/HS.solution-1.png b/docs/reference/HS.solution-1.png index 32d04b2d..dd7a76c8 100644 Binary files a/docs/reference/HS.solution-1.png and b/docs/reference/HS.solution-1.png differ diff --git a/docs/reference/HS.solution.html b/docs/reference/HS.solution.html index e3009bcc..7f0ab8ea 100644 --- a/docs/reference/HS.solution.html +++ b/docs/reference/HS.solution.html @@ -1,68 +1,13 @@ - - - - - - - -Hockey-Stick kinetics — HS.solution • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Hockey-Stick kinetics — HS.solution • mkin - + + - - - -
-
- -
- -
+

Hockey-Stick kinetics

- Source: R/parent_solutions.R + Source: R/parent_solutions.R
@@ -149,90 +88,82 @@ between them." /> between them.

- 
HS.solution(t, parent_0, k1, k2, tb)
- -

Arguments

- - - - - - - - - - - - - - - - - - - - - - -
t

Time.

parent_0

Starting value for the response variable at time zero.

k1

First kinetic constant.

k2

Second kinetic constant.

tb

Break point. Before this time, exponential decline according to -k1 is calculated, after this time, exponential decline proceeds -according to k2.

- -

Value

+
+ 
HS.solution(t, parent_0, k1, k2, tb)
+
+
+

Arguments

+
t
+

Time.

+
parent_0
+

Starting value for the response variable at time zero.

+
k1
+

First kinetic constant.

+
k2
+

Second kinetic constant.

+
tb
+

Break point. Before this time, exponential decline according to +k1 is calculated, after this time, exponential decline proceeds +according to k2.

+
+
+

Value

The value of the response variable at time t.

-

References

- -

FOCUS (2006) “Guidance Document on Estimating Persistence +

+
+

References

+

FOCUS (2006) “Guidance Document on Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in -EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, +EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, EC Document Reference Sanco/10058/2005 version 2.0, 434 pp, -http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics -FOCUS (2014) “Generic guidance for Estimating Persistence +http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics +FOCUS (2014) “Generic guidance for Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in -EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, +EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, Version 1.1, 18 December 2014 -http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

-

See also

- -

Other parent solutions: -DFOP.solution(), -FOMC.solution(), -IORE.solution(), -SFO.solution(), -SFORB.solution(), -logistic.solution()

- -

Examples

- 

-  plot(function(x) HS.solution(x, 100, 2, 0.3, 0.5), 0, 2, ylim=c(0,100))
-

-
+http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

+
+
+

See also

+

Other parent solutions: +DFOP.solution(), +FOMC.solution(), +IORE.solution(), +SFO.solution(), +SFORB.solution(), +logistic.solution()

+
+ +
+

Examples

+ 

+  plot(function(x) HS.solution(x, 100, 2, 0.3, 0.5), 0, 2, ylim=c(0,100))
+
+
+
+
+
- - - + + diff --git a/docs/reference/IORE.solution-1.png b/docs/reference/IORE.solution-1.png index 42643a58..9b6ab58f 100644 Binary files a/docs/reference/IORE.solution-1.png and b/docs/reference/IORE.solution-1.png differ diff --git a/docs/reference/IORE.solution.html b/docs/reference/IORE.solution.html index f1a40d44..bfb69a40 100644 --- a/docs/reference/IORE.solution.html +++ b/docs/reference/IORE.solution.html @@ -1,68 +1,13 @@ - - - - - - - -Indeterminate order rate equation kinetics — IORE.solution • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Indeterminate order rate equation kinetics — IORE.solution • mkin - + + - - - -
-
- -
- -
+

Indeterminate order rate equation kinetics

- Source: R/parent_solutions.R + Source: R/parent_solutions.R
@@ -149,100 +88,97 @@ a concentration dependent rate constant." /> a concentration dependent rate constant.

- 
IORE.solution(t, parent_0, k__iore, N)
- -

Arguments

- - - - - - - - - - - - - - - - - - -
t

Time.

parent_0

Starting value for the response variable at time zero.

k__iore

Rate constant. Note that this depends on the concentration -units used.

N

Exponent describing the nonlinearity of the rate equation

- -

Value

+
+ 
IORE.solution(t, parent_0, k__iore, N)
+
+
+

Arguments

+
t
+

Time.

+
parent_0
+

Starting value for the response variable at time zero.

+
k__iore
+

Rate constant. Note that this depends on the concentration +units used.

+
N
+

Exponent describing the nonlinearity of the rate equation

+
+
+

Value

The value of the response variable at time t.

-

Note

- +
+
+

Note

The solution of the IORE kinetic model reduces to the -SFO.solution if N = 1. The parameters of the IORE model can +SFO.solution if N = 1. The parameters of the IORE model can be transformed to equivalent parameters of the FOMC mode - see the NAFTA guidance for details.

-

References

- +
+
+

References

NAFTA Technical Working Group on Pesticides (not dated) Guidance for Evaluating and Calculating Degradation Kinetics in Environmental Media

-

See also

- -

Other parent solutions: -DFOP.solution(), -FOMC.solution(), -HS.solution(), -SFO.solution(), -SFORB.solution(), -logistic.solution()

- -

Examples

- 

-  plot(function(x) IORE.solution(x, 100, 0.2, 1.3), 0, 2, ylim = c(0, 100))
-
  # \dontrun{
-    fit.fomc <- mkinfit("FOMC", FOCUS_2006_C, quiet = TRUE)
-    fit.iore <- mkinfit("IORE", FOCUS_2006_C, quiet = TRUE)
-    fit.iore.deS <- mkinfit("IORE", FOCUS_2006_C, solution_type = "deSolve", quiet = TRUE)
-
-    print(data.frame(fit.fomc$par, fit.iore$par, fit.iore.deS$par, 
-                     row.names = paste("model par", 1:4)))
-
#>             fit.fomc.par fit.iore.par fit.iore.deS.par
-#> model par 1  85.87489063    85.874890        85.874890
-#> model par 2   0.05192238    -4.826631        -4.826631
-#> model par 3   0.65096665     1.949403         1.949403
-#> model par 4   1.85744396     1.857444         1.857444
    print(rbind(fomc = endpoints(fit.fomc)$distimes, iore = endpoints(fit.iore)$distimes, 
-                iore.deS = endpoints(fit.iore)$distimes))
-
#>              DT50    DT90 DT50back
-#> fomc     1.785233 15.1479 4.559973
-#> iore     1.785233 15.1479 4.559973
-#> iore.deS 1.785233 15.1479 4.559973
  # }
-
-
+
+
+

See also

+

Other parent solutions: +DFOP.solution(), +FOMC.solution(), +HS.solution(), +SFO.solution(), +SFORB.solution(), +logistic.solution()

+
+ +
+

Examples

+ 

+  plot(function(x) IORE.solution(x, 100, 0.2, 1.3), 0, 2, ylim = c(0, 100))
+
+  # \dontrun{
+    fit.fomc <- mkinfit("FOMC", FOCUS_2006_C, quiet = TRUE)
+    fit.iore <- mkinfit("IORE", FOCUS_2006_C, quiet = TRUE)
+    fit.iore.deS <- mkinfit("IORE", FOCUS_2006_C, solution_type = "deSolve", quiet = TRUE)
+
+    print(data.frame(fit.fomc$par, fit.iore$par, fit.iore.deS$par, 
+                     row.names = paste("model par", 1:4)))
+#>             fit.fomc.par fit.iore.par fit.iore.deS.par
+#> model par 1  85.87489063    85.874890        85.874890
+#> model par 2   0.05192238    -4.826631        -4.826631
+#> model par 3   0.65096665     1.949403         1.949403
+#> model par 4   1.85744396     1.857444         1.857444
+    print(rbind(fomc = endpoints(fit.fomc)$distimes, iore = endpoints(fit.iore)$distimes, 
+                iore.deS = endpoints(fit.iore)$distimes))
+#>              DT50    DT90 DT50back
+#> fomc     1.785233 15.1479 4.559973
+#> iore     1.785233 15.1479 4.559973
+#> iore.deS 1.785233 15.1479 4.559973
+  # }
+
+
+
+
- - - + + diff --git a/docs/reference/NAFTA_SOP_2015-1.png b/docs/reference/NAFTA_SOP_2015-1.png index 4f0d7833..5d2d434b 100644 Binary files a/docs/reference/NAFTA_SOP_2015-1.png and b/docs/reference/NAFTA_SOP_2015-1.png differ diff --git a/docs/reference/NAFTA_SOP_2015.html b/docs/reference/NAFTA_SOP_2015.html index de9db9eb..1862580b 100644 --- a/docs/reference/NAFTA_SOP_2015.html +++ b/docs/reference/NAFTA_SOP_2015.html @@ -1,67 +1,12 @@ - - - - - - - -Example datasets from the NAFTA SOP published 2015 — NAFTA_SOP_2015 • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Example datasets from the NAFTA SOP published 2015 — NAFTA_SOP_2015 • mkin - - - - + + -
-
- -
- -
+

Example datasets from the NAFTA SOP published 2015

@@ -147,97 +86,107 @@

Data taken from US EPA (2015), p. 19 and 23.

- 
NAFTA_SOP_Appendix_B
-  NAFTA_SOP_Appendix_D
- +
+ 
NAFTA_SOP_Appendix_B
+  NAFTA_SOP_Appendix_D
+
-

Format

+
+

Format

+

2 datasets with observations on the following variables.

name
+

a factor containing the name of the observed variable

-

2 datasets with observations on the following variables.

-
name

a factor containing the name of the observed variable

-
time

a numeric vector containing time points

-
value

a numeric vector containing concentrations

- -
+
time
+

a numeric vector containing time points

-

Source

+
value
+

a numeric vector containing concentrations

+ +
+
+

Source

NAFTA (2011) Guidance for evaluating and calculating degradation kinetics in environmental media. NAFTA Technical Working Group on Pesticides - https://www.epa.gov/pesticide-science-and-assessing-pesticide-risks/guidance-evaluating-and-calculating-degradation + https://www.epa.gov/pesticide-science-and-assessing-pesticide-risks/guidance-evaluating-and-calculating-degradation accessed 2019-02-22

US EPA (2015) Standard Operating Procedure for Using the NAFTA Guidance to Calculate Representative Half-life Values and Characterizing Pesticide Degradation - https://www.epa.gov/pesticide-science-and-assessing-pesticide-risks/standard-operating-procedure-using-nafta-guidance

- -

Examples

- 
  nafta_evaluation <- nafta(NAFTA_SOP_Appendix_D, cores = 1)
-
#> The SFO model is rejected as S_SFO is equal or higher than the critical value S_c
#> The representative half-life of the IORE model is longer than the one corresponding
#> to the terminal degradation rate found with the DFOP model.
#> The representative half-life obtained from the DFOP model may be used
  print(nafta_evaluation)
-
#> Sums of squares:
-#>       SFO      IORE      DFOP 
-#> 1378.6832  615.7730  517.8836 
-#> 
-#> Critical sum of squares for checking the SFO model:
-#> [1] 717.4598
-#> 
-#> Parameters:
-#> $SFO
-#>          Estimate   Pr(>t)    Lower   Upper
-#> parent_0  83.7558 1.80e-14 77.18268 90.3288
-#> k_parent   0.0017 7.43e-05  0.00112  0.0026
-#> sigma      8.7518 1.22e-05  5.64278 11.8608
-#> 
-#> $IORE
-#>                Estimate Pr(>t)    Lower    Upper
-#> parent_0       9.69e+01     NA 8.88e+01 1.05e+02
-#> k__iore_parent 8.40e-14     NA 1.79e-18 3.94e-09
-#> N_parent       6.68e+00     NA 4.19e+00 9.17e+00
-#> sigma          5.85e+00     NA 3.76e+00 7.94e+00
-#> 
-#> $DFOP
-#>          Estimate   Pr(>t)    Lower    Upper
-#> parent_0 9.76e+01 1.94e-13 9.02e+01 1.05e+02
-#> k1       4.24e-02 5.92e-03 2.03e-02 8.88e-02
-#> k2       8.24e-04 6.48e-03 3.89e-04 1.75e-03
-#> g        2.88e-01 2.47e-05 1.95e-01 4.03e-01
-#> sigma    5.36e+00 2.22e-05 3.43e+00 7.30e+00
-#> 
-#> 
-#> DTx values:
-#>      DT50    DT90 DT50_rep
-#> SFO   407    1350      407
-#> IORE  541 5190000  1560000
-#> DFOP  429    2380      841
-#> 
-#> Representative half-life:
-#> [1] 841.41
  plot(nafta_evaluation)
-
+ https://www.epa.gov/pesticide-science-and-assessing-pesticide-risks/standard-operating-procedure-using-nafta-guidance

+
+ +
+

Examples

+ 
  nafta_evaluation <- nafta(NAFTA_SOP_Appendix_D, cores = 1)
+#> The SFO model is rejected as S_SFO is equal or higher than the critical value S_c
+#> The representative half-life of the IORE model is longer than the one corresponding
+#> to the terminal degradation rate found with the DFOP model.
+#> The representative half-life obtained from the DFOP model may be used
+  print(nafta_evaluation)
+#> Sums of squares:
+#>       SFO      IORE      DFOP 
+#> 1378.6832  615.7730  517.8836 
+#> 
+#> Critical sum of squares for checking the SFO model:
+#> [1] 717.4598
+#> 
+#> Parameters:
+#> $SFO
+#>          Estimate   Pr(>t)    Lower   Upper
+#> parent_0  83.7558 1.80e-14 77.18268 90.3288
+#> k_parent   0.0017 7.43e-05  0.00112  0.0026
+#> sigma      8.7518 1.22e-05  5.64278 11.8608
+#> 
+#> $IORE
+#>                Estimate Pr(>t)    Lower    Upper
+#> parent_0       9.69e+01     NA 8.88e+01 1.05e+02
+#> k__iore_parent 8.40e-14     NA 1.79e-18 3.94e-09
+#> N_parent       6.68e+00     NA 4.19e+00 9.17e+00
+#> sigma          5.85e+00     NA 3.76e+00 7.94e+00
+#> 
+#> $DFOP
+#>          Estimate   Pr(>t)    Lower    Upper
+#> parent_0 9.76e+01 1.94e-13 9.02e+01 1.05e+02
+#> k1       4.24e-02 5.92e-03 2.03e-02 8.88e-02
+#> k2       8.24e-04 6.48e-03 3.89e-04 1.75e-03
+#> g        2.88e-01 2.47e-05 1.95e-01 4.03e-01
+#> sigma    5.36e+00 2.22e-05 3.43e+00 7.30e+00
+#> 
+#> 
+#> DTx values:
+#>      DT50    DT90 DT50_rep
+#> SFO   407    1350      407
+#> IORE  541 5190000  1560000
+#> DFOP  429    2380      841
+#> 
+#> Representative half-life:
+#> [1] 841.41
+  plot(nafta_evaluation)
+
+
+
+
-
-
-

Developed by Johannes Ranke.

+
+

Developed by Johannes Ranke.

-

Site built with pkgdown 1.6.1.

+

Site built with pkgdown 2.0.2.

-
-
+
- - + + diff --git a/docs/reference/NAFTA_SOP_Attachment-1.png b/docs/reference/NAFTA_SOP_Attachment-1.png index 9417685e..d8951fc3 100644 Binary files a/docs/reference/NAFTA_SOP_Attachment-1.png and b/docs/reference/NAFTA_SOP_Attachment-1.png differ diff --git a/docs/reference/NAFTA_SOP_Attachment.html b/docs/reference/NAFTA_SOP_Attachment.html index 0b063e2c..e602a2b0 100644 --- a/docs/reference/NAFTA_SOP_Attachment.html +++ b/docs/reference/NAFTA_SOP_Attachment.html @@ -1,67 +1,12 @@ - - - - - - - -Example datasets from Attachment 1 to the NAFTA SOP published 2015 — NAFTA_SOP_Attachment • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Example datasets from Attachment 1 to the NAFTA SOP published 2015 — NAFTA_SOP_Attachment • mkin - - - - + + -
-
- -
- -
+

Example datasets from Attachment 1 to the NAFTA SOP published 2015

@@ -147,91 +86,96 @@

Data taken from from Attachment 1 of the SOP.

- 
NAFTA_SOP_Attachment
- - -

Format

+
+ 
NAFTA_SOP_Attachment
+
+
+

Format

A list (NAFTA_SOP_Attachment) containing 16 datasets suitable - for the evaluation with nafta

-

Source

- + for the evaluation with nafta

+
+
+

Source

NAFTA (2011) Guidance for evaluating and calculating degradation kinetics in environmental media. NAFTA Technical Working Group on Pesticides - https://www.epa.gov/pesticide-science-and-assessing-pesticide-risks/guidance-evaluating-and-calculating-degradation + https://www.epa.gov/pesticide-science-and-assessing-pesticide-risks/guidance-evaluating-and-calculating-degradation accessed 2019-02-22

US EPA (2015) Standard Operating Procedure for Using the NAFTA Guidance to Calculate Representative Half-life Values and Characterizing Pesticide Degradation - https://www.epa.gov/pesticide-science-and-assessing-pesticide-risks/standard-operating-procedure-using-nafta-guidance

- -

Examples

- 
  nafta_att_p5a <- nafta(NAFTA_SOP_Attachment[["p5a"]], cores = 1)
-
#> The SFO model is rejected as S_SFO is equal or higher than the critical value S_c
#> The half-life obtained from the IORE model may be used
  print(nafta_att_p5a)
-
#> Sums of squares:
-#>       SFO      IORE      DFOP 
-#> 465.21753  56.27506  32.06401 
-#> 
-#> Critical sum of squares for checking the SFO model:
-#> [1] 64.4304
-#> 
-#> Parameters:
-#> $SFO
-#>          Estimate   Pr(>t)  Lower   Upper
-#> parent_0  95.8401 4.67e-21 92.245 99.4357
-#> k_parent   0.0102 3.92e-12  0.009  0.0117
-#> sigma      4.8230 3.81e-06  3.214  6.4318
-#> 
-#> $IORE
-#>                Estimate Pr(>t)    Lower    Upper
-#> parent_0       1.01e+02     NA 9.91e+01 1.02e+02
-#> k__iore_parent 1.54e-05     NA 4.08e-06 5.84e-05
-#> N_parent       2.57e+00     NA 2.25e+00 2.89e+00
-#> sigma          1.68e+00     NA 1.12e+00 2.24e+00
-#> 
-#> $DFOP
-#>          Estimate   Pr(>t)   Lower    Upper
-#> parent_0 9.99e+01 1.41e-26 98.8116 101.0810
-#> k1       2.67e-02 5.05e-06  0.0243   0.0295
-#> k2       2.26e-12 5.00e-01  0.0000      Inf
-#> g        6.47e-01 3.67e-06  0.6248   0.6677
-#> sigma    1.27e+00 8.91e-06  0.8395   1.6929
-#> 
-#> 
-#> DTx values:
-#>      DT50     DT90 DT50_rep
-#> SFO  67.7 2.25e+02 6.77e+01
-#> IORE 58.2 1.07e+03 3.22e+02
-#> DFOP 55.5 5.59e+11 3.07e+11
-#> 
-#> Representative half-life:
-#> [1] 321.51
  plot(nafta_att_p5a)
-
+ https://www.epa.gov/pesticide-science-and-assessing-pesticide-risks/standard-operating-procedure-using-nafta-guidance

+
+ +
+

Examples

+ 
  nafta_att_p5a <- nafta(NAFTA_SOP_Attachment[["p5a"]], cores = 1)
+#> The SFO model is rejected as S_SFO is equal or higher than the critical value S_c
+#> The half-life obtained from the IORE model may be used
+  print(nafta_att_p5a)
+#> Sums of squares:
+#>       SFO      IORE      DFOP 
+#> 465.21753  56.27506  32.06401 
+#> 
+#> Critical sum of squares for checking the SFO model:
+#> [1] 64.4304
+#> 
+#> Parameters:
+#> $SFO
+#>          Estimate   Pr(>t)  Lower   Upper
+#> parent_0  95.8401 4.67e-21 92.245 99.4357
+#> k_parent   0.0102 3.92e-12  0.009  0.0117
+#> sigma      4.8230 3.81e-06  3.214  6.4318
+#> 
+#> $IORE
+#>                Estimate Pr(>t)    Lower    Upper
+#> parent_0       1.01e+02     NA 9.91e+01 1.02e+02
+#> k__iore_parent 1.54e-05     NA 4.08e-06 5.84e-05
+#> N_parent       2.57e+00     NA 2.25e+00 2.89e+00
+#> sigma          1.68e+00     NA 1.12e+00 2.24e+00
+#> 
+#> $DFOP
+#>          Estimate   Pr(>t)   Lower    Upper
+#> parent_0 9.99e+01 1.41e-26 98.8116 101.0810
+#> k1       2.67e-02 5.05e-06  0.0243   0.0295
+#> k2       2.26e-12 5.00e-01  0.0000      Inf
+#> g        6.47e-01 3.67e-06  0.6248   0.6677
+#> sigma    1.27e+00 8.91e-06  0.8395   1.6929
+#> 
+#> 
+#> DTx values:
+#>      DT50     DT90 DT50_rep
+#> SFO  67.7 2.25e+02 6.77e+01
+#> IORE 58.2 1.07e+03 3.22e+02
+#> DFOP 55.5 5.59e+11 3.07e+11
+#> 
+#> Representative half-life:
+#> [1] 321.51
+  plot(nafta_att_p5a)
+
+
+
+
-
-
-

Developed by Johannes Ranke.

+
+

Developed by Johannes Ranke.

-

Site built with pkgdown 1.6.1.

+

Site built with pkgdown 2.0.2.

-
-
+
- - + + diff --git a/docs/reference/Rplot001.png b/docs/reference/Rplot001.png index 22eb54d3..88d4c784 100644 Binary files a/docs/reference/Rplot001.png and b/docs/reference/Rplot001.png differ diff --git a/docs/reference/Rplot002.png b/docs/reference/Rplot002.png index 8512d4f8..86d1775b 100644 Binary files a/docs/reference/Rplot002.png and b/docs/reference/Rplot002.png differ diff --git a/docs/reference/Rplot003.png b/docs/reference/Rplot003.png index da0a093b..b1cdfcc9 100644 Binary files a/docs/reference/Rplot003.png and b/docs/reference/Rplot003.png differ diff --git a/docs/reference/Rplot004.png b/docs/reference/Rplot004.png index 31771c20..b91e73fb 100644 Binary files a/docs/reference/Rplot004.png and b/docs/reference/Rplot004.png differ diff --git a/docs/reference/Rplot005.png b/docs/reference/Rplot005.png index 31771c20..76f25647 100644 Binary files a/docs/reference/Rplot005.png and b/docs/reference/Rplot005.png differ diff --git a/docs/reference/Rplot006.png b/docs/reference/Rplot006.png index 4c728f4e..48f5bbd8 100644 Binary files a/docs/reference/Rplot006.png and b/docs/reference/Rplot006.png differ diff --git a/docs/reference/Rplot007.png b/docs/reference/Rplot007.png index 3405a171..21a6ea76 100644 Binary files a/docs/reference/Rplot007.png and b/docs/reference/Rplot007.png differ diff --git a/docs/reference/SFO.solution-1.png b/docs/reference/SFO.solution-1.png index 56d27ef6..a00499cb 100644 Binary files a/docs/reference/SFO.solution-1.png and b/docs/reference/SFO.solution-1.png differ diff --git a/docs/reference/SFO.solution.html b/docs/reference/SFO.solution.html index 826a0472..8caa8958 100644 --- a/docs/reference/SFO.solution.html +++ b/docs/reference/SFO.solution.html @@ -1,67 +1,12 @@ - - - - - - - -Single First-Order kinetics — SFO.solution • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Single First-Order kinetics — SFO.solution • mkin + + - - - - -
-
- -
- -
+

Single First-Order kinetics

- Source: R/parent_solutions.R + Source: R/parent_solutions.R
@@ -147,80 +86,76 @@

Function describing exponential decline from a defined starting value.

- 
SFO.solution(t, parent_0, k)
- -

Arguments

- - - - - - - - - - - - - - -
t

Time.

parent_0

Starting value for the response variable at time zero.

k

Kinetic rate constant.

- -

Value

+
+ 
SFO.solution(t, parent_0, k)
+
+
+

Arguments

+
t
+

Time.

+
parent_0
+

Starting value for the response variable at time zero.

+
k
+

Kinetic rate constant.

+
+
+

Value

The value of the response variable at time t.

-

References

- -

FOCUS (2006) “Guidance Document on Estimating Persistence +

+
+

References

+

FOCUS (2006) “Guidance Document on Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in -EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, +EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, EC Document Reference Sanco/10058/2005 version 2.0, 434 pp, -http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics -FOCUS (2014) “Generic guidance for Estimating Persistence +http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics +FOCUS (2014) “Generic guidance for Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in -EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, +EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, Version 1.1, 18 December 2014 -http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

-

See also

- -

Other parent solutions: -DFOP.solution(), -FOMC.solution(), -HS.solution(), -IORE.solution(), -SFORB.solution(), -logistic.solution()

- -

Examples

- 

-  plot(function(x) SFO.solution(x, 100, 3), 0, 2)
-

-
+http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

+
+
+

See also

+

Other parent solutions: +DFOP.solution(), +FOMC.solution(), +HS.solution(), +IORE.solution(), +SFORB.solution(), +logistic.solution()

+
+ +
+

Examples

+ 

+  plot(function(x) SFO.solution(x, 100, 3), 0, 2)
+
+
+
+
+
- - - + + diff --git a/docs/reference/SFORB.solution-1.png b/docs/reference/SFORB.solution-1.png index 4eeb0d41..7bea3b78 100644 Binary files a/docs/reference/SFORB.solution-1.png and b/docs/reference/SFORB.solution-1.png differ diff --git a/docs/reference/SFORB.solution.html b/docs/reference/SFORB.solution.html index b2062e30..45933071 100644 --- a/docs/reference/SFORB.solution.html +++ b/docs/reference/SFORB.solution.html @@ -1,71 +1,16 @@ - - - - - - - -Single First-Order Reversible Binding kinetics — SFORB.solution • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Single First-Order Reversible Binding kinetics — SFORB.solution • mkin - - - - - - - - - + + - - - - -
-
- -
- -
+

Single First-Order Reversible Binding kinetics

- Source: R/parent_solutions.R + Source: R/parent_solutions.R
@@ -155,90 +94,82 @@ fraction. The initial condition is a defined amount in the free fraction and no substance in the bound fraction.

- 
SFORB.solution(t, parent_0, k_12, k_21, k_1output)
- -

Arguments

- - - - - - - - - - - - - - - - - - - - - - -
t

Time.

parent_0

Starting value for the response variable at time zero.

k_12

Kinetic constant describing transfer from free to bound.

k_21

Kinetic constant describing transfer from bound to free.

k_1output

Kinetic constant describing degradation of the free -fraction.

- -

Value

+
+ 
SFORB.solution(t, parent_0, k_12, k_21, k_1output)
+
+
+

Arguments

+
t
+

Time.

+
parent_0
+

Starting value for the response variable at time zero.

+
k_12
+

Kinetic constant describing transfer from free to bound.

+
k_21
+

Kinetic constant describing transfer from bound to free.

+
k_1output
+

Kinetic constant describing degradation of the free +fraction.

+
+
+

Value

The value of the response variable, which is the sum of free and bound fractions at time t.

-

References

- -

FOCUS (2006) “Guidance Document on Estimating Persistence +

+
+

References

+

FOCUS (2006) “Guidance Document on Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in -EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, +EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, EC Document Reference Sanco/10058/2005 version 2.0, 434 pp, -http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics -FOCUS (2014) “Generic guidance for Estimating Persistence +http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics +FOCUS (2014) “Generic guidance for Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in -EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, +EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, Version 1.1, 18 December 2014 -http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

-

See also

- -

Other parent solutions: -DFOP.solution(), -FOMC.solution(), -HS.solution(), -IORE.solution(), -SFO.solution(), -logistic.solution()

- -

Examples

- 

-  plot(function(x) SFORB.solution(x, 100, 0.5, 2, 3), 0, 2)
-

-
+http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

+
+
+

See also

+

Other parent solutions: +DFOP.solution(), +FOMC.solution(), +HS.solution(), +IORE.solution(), +SFO.solution(), +logistic.solution()

+
+ +
+

Examples

+ 

+  plot(function(x) SFORB.solution(x, 100, 0.5, 2, 3), 0, 2)
+
+
+
+
+
- - - + + diff --git a/docs/reference/add_err-1.png b/docs/reference/add_err-1.png index 70118923..4a3b4062 100644 Binary files a/docs/reference/add_err-1.png and b/docs/reference/add_err-1.png differ diff --git a/docs/reference/add_err-2.png b/docs/reference/add_err-2.png index 69b820c2..5aec1744 100644 Binary files a/docs/reference/add_err-2.png and b/docs/reference/add_err-2.png differ diff --git a/docs/reference/add_err-3.png b/docs/reference/add_err-3.png index 1de78fa7..2e71f02f 100644 Binary files a/docs/reference/add_err-3.png and b/docs/reference/add_err-3.png differ diff --git a/docs/reference/add_err.html b/docs/reference/add_err.html index 18ca517e..50b55748 100644 --- a/docs/reference/add_err.html +++ b/docs/reference/add_err.html @@ -1,69 +1,14 @@ - - - - - - - -Add normally distributed errors to simulated kinetic degradation data — add_err • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Add normally distributed errors to simulated kinetic degradation data — add_err • mkin - - - - - - - - - - - + + - - -
-
- -
- -
+

Add normally distributed errors to simulated kinetic degradation data

- Source: R/add_err.R + Source: R/add_err.R

Normally distributed errors are added to data predicted for a specific -degradation model using mkinpredict. The variance of the error +degradation model using mkinpredict. The variance of the error may depend on the predicted value and is specified as a standard deviation.

- 
add_err(
-  prediction,
-  sdfunc,
-  secondary = c("M1", "M2"),
-  n = 10,
-  LOD = 0.1,
-  reps = 2,
-  digits = 1,
-  seed = NA
-)
+
+ 
add_err(
+  prediction,
+  sdfunc,
+  secondary = c("M1", "M2"),
+  n = 10,
+  LOD = 0.1,
+  reps = 2,
+  digits = 1,
+  seed = NA
+)
+
-

Arguments

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
prediction

A prediction from a kinetic model as produced by -mkinpredict.

sdfunc

A function taking the predicted value as its only argument and +

+

Arguments

+
prediction
+

A prediction from a kinetic model as produced by +mkinpredict.

+
sdfunc
+

A function taking the predicted value as its only argument and returning a standard deviation that should be used for generating the -random error terms for this value.

secondary

The names of state variables that should have an initial -value of zero

n

The number of datasets to be generated.

LOD

The limit of detection (LOD). Values that are below the LOD after -adding the random error will be set to NA.

reps

The number of replicates to be generated within the datasets.

digits

The number of digits to which the values will be rounded.

seed

The seed used for the generation of random numbers. If NA, the -seed is not set.

- -

Value

- -

A list of datasets compatible with mmkin, i.e. the -components of the list are datasets compatible with mkinfit.

-

References

- +random error terms for this value.

+
secondary
+

The names of state variables that should have an initial +value of zero

+
n
+

The number of datasets to be generated.

+
LOD
+

The limit of detection (LOD). Values that are below the LOD after +adding the random error will be set to NA.

+
reps
+

The number of replicates to be generated within the datasets.

+
digits
+

The number of digits to which the values will be rounded.

+
seed
+

The seed used for the generation of random numbers. If NA, the +seed is not set.

+
+
+

Value

+

A list of datasets compatible with mmkin, i.e. the +components of the list are datasets compatible with mkinfit.

+
+
+

References

Ranke J and Lehmann R (2015) To t-test or not to t-test, that is the question. XV Symposium on Pesticide Chemistry 2-4 September 2015, Piacenza, Italy https://jrwb.de/posters/piacenza_2015.pdf

-

Author

- +
+
+

Author

Johannes Ranke

+
-

Examples

- 

-# The kinetic model
-m_SFO_SFO <- mkinmod(parent = mkinsub("SFO", "M1"),
-                     M1 = mkinsub("SFO"), use_of_ff = "max")
-
#> Temporary DLL for differentials generated and loaded

-# Generate a prediction for a specific set of parameters
-sampling_times = c(0, 1, 3, 7, 14, 28, 60, 90, 120)
-
-# This is the prediction used for the "Type 2 datasets" on the Piacenza poster
-# from 2015
-d_SFO_SFO <- mkinpredict(m_SFO_SFO,
-                         c(k_parent = 0.1, f_parent_to_M1 = 0.5,
-                           k_M1 = log(2)/1000),
-                         c(parent = 100, M1 = 0),
-                         sampling_times)
-
-# Add an error term with a constant (independent of the value) standard deviation
-# of 10, and generate three datasets
-d_SFO_SFO_err <- add_err(d_SFO_SFO, function(x) 10, n = 3, seed = 123456789 )
-
-# Name the datasets for nicer plotting
-names(d_SFO_SFO_err) <- paste("Dataset", 1:3)
-
-# Name the model in the list of models (with only one member in this case) for
-# nicer plotting later on.  Be quiet and use only one core not to offend CRAN
-# checks
-# \dontrun{
-f_SFO_SFO <- mmkin(list("SFO-SFO" = m_SFO_SFO),
-                   d_SFO_SFO_err, cores = 1,
-                   quiet = TRUE)
-
-plot(f_SFO_SFO)
-

-# We would like to inspect the fit for dataset 3 more closely
-# Using double brackets makes the returned object an mkinfit object
-# instead of a list of mkinfit objects, so plot.mkinfit is used
-plot(f_SFO_SFO[[3]], show_residuals = TRUE)
-

-# If we use single brackets, we should give two indices (model and dataset),
-# and plot.mmkin is used
-plot(f_SFO_SFO[1, 3])
-
# }
-
-
+
+

Examples

+ 

+# The kinetic model
+m_SFO_SFO <- mkinmod(parent = mkinsub("SFO", "M1"),
+                     M1 = mkinsub("SFO"), use_of_ff = "max")
+#> Temporary DLL for differentials generated and loaded
+
+# Generate a prediction for a specific set of parameters
+sampling_times = c(0, 1, 3, 7, 14, 28, 60, 90, 120)
+
+# This is the prediction used for the "Type 2 datasets" on the Piacenza poster
+# from 2015
+d_SFO_SFO <- mkinpredict(m_SFO_SFO,
+                         c(k_parent = 0.1, f_parent_to_M1 = 0.5,
+                           k_M1 = log(2)/1000),
+                         c(parent = 100, M1 = 0),
+                         sampling_times)
+
+# Add an error term with a constant (independent of the value) standard deviation
+# of 10, and generate three datasets
+d_SFO_SFO_err <- add_err(d_SFO_SFO, function(x) 10, n = 3, seed = 123456789 )
+
+# Name the datasets for nicer plotting
+names(d_SFO_SFO_err) <- paste("Dataset", 1:3)
+
+# Name the model in the list of models (with only one member in this case) for
+# nicer plotting later on.  Be quiet and use only one core not to offend CRAN
+# checks
+# \dontrun{
+f_SFO_SFO <- mmkin(list("SFO-SFO" = m_SFO_SFO),
+                   d_SFO_SFO_err, cores = 1,
+                   quiet = TRUE)
+
+plot(f_SFO_SFO)
+
+
+# We would like to inspect the fit for dataset 3 more closely
+# Using double brackets makes the returned object an mkinfit object
+# instead of a list of mkinfit objects, so plot.mkinfit is used
+plot(f_SFO_SFO[[3]], show_residuals = TRUE)
+
+
+# If we use single brackets, we should give two indices (model and dataset),
+# and plot.mmkin is used
+plot(f_SFO_SFO[1, 3])
+
+# }
+
+
+
+
- - - + + diff --git a/docs/reference/aw.html b/docs/reference/aw.html index 6399b839..534cdf80 100644 --- a/docs/reference/aw.html +++ b/docs/reference/aw.html @@ -1,69 +1,14 @@ - - - - - - - -Calculate Akaike weights for model averaging — aw • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Calculate Akaike weights for model averaging — aw • mkin - - - - - - - - - - - + + - - -
-
- -
- -
+

Calculate Akaike weights for model averaging

- Source: R/aw.R + Source: R/aw.R
@@ -151,76 +90,76 @@ expected Kullback-Leibler information as specified by Burnham and Anderson (2004).

- 
aw(object, ...)
+    

+    
aw(object, ...)
 
-# S3 method for mkinfit
-aw(object, ...)
+# S3 method for mkinfit
+aw(object, ...)
 
-# S3 method for mmkin
-aw(object, ...)

+# S3 method for mmkin
+aw(object, ...)
+
-

Arguments

- - - - - - - - - - -
object

An mmkin column object, containing two or more -mkinfit models that have been fitted to the same data, +

+

Arguments

+
object
+

An mmkin column object, containing two or more +mkinfit models that have been fitted to the same data, or an mkinfit object. In the latter case, further mkinfit objects fitted to the same data should be specified -as dots arguments.

...

Not used in the method for mmkin column objects, -further mkinfit objects in the method for mkinfit objects.

- -

References

- +as dots arguments.

+
...
+

Not used in the method for mmkin column objects, +further mkinfit objects in the method for mkinfit objects.

+
+
+

References

Burnham KP and Anderson DR (2004) Multimodel Inference: Understanding AIC and BIC in Model Selection. Sociological Methods & Research 33(2) 261-304

+
-

Examples

- 
# \dontrun{
-f_sfo <- mkinfit("SFO", FOCUS_2006_D, quiet = TRUE)
-f_dfop <- mkinfit("DFOP", FOCUS_2006_D, quiet = TRUE)
-aw_sfo_dfop <- aw(f_sfo, f_dfop)
-sum(aw_sfo_dfop)
-
#> [1] 1
aw_sfo_dfop # SFO gets more weight as it has less parameters and a similar fit
-
#> [1] 0.5970258 0.4029742
f <- mmkin(c("SFO", "FOMC", "DFOP"), list("FOCUS D" = FOCUS_2006_D), cores = 1, quiet = TRUE)
-aw(f)
-
#> [1] 0.4808722 0.1945539 0.3245740
sum(aw(f))
-
#> [1] 1
aw(f[c("SFO", "DFOP")])
-
#> [1] 0.5970258 0.4029742
# }
-
+
+

Examples

+ 
# \dontrun{
+f_sfo <- mkinfit("SFO", FOCUS_2006_D, quiet = TRUE)
+f_dfop <- mkinfit("DFOP", FOCUS_2006_D, quiet = TRUE)
+aw_sfo_dfop <- aw(f_sfo, f_dfop)
+sum(aw_sfo_dfop)
+#> [1] 1
+aw_sfo_dfop # SFO gets more weight as it has less parameters and a similar fit
+#> [1] 0.5970258 0.4029742
+f <- mmkin(c("SFO", "FOMC", "DFOP"), list("FOCUS D" = FOCUS_2006_D), cores = 1, quiet = TRUE)
+aw(f)
+#> [1] 0.4808722 0.1945539 0.3245740
+sum(aw(f))
+#> [1] 1
+aw(f[c("SFO", "DFOP")])
+#> [1] 0.5970258 0.4029742
+# }
+
+
+ - - - + + diff --git a/docs/reference/confint.mkinfit.html b/docs/reference/confint.mkinfit.html index e81e0c7b..a57164cc 100644 --- a/docs/reference/confint.mkinfit.html +++ b/docs/reference/confint.mkinfit.html @@ -1,74 +1,19 @@ - - - - - - - -Confidence intervals for parameters of mkinfit objects — confint.mkinfit • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Confidence intervals for parameters of mkinfit objects — confint.mkinfit • mkin - - - - - - - - - - + + - - - -
-
- -
- -
+

Confidence intervals for parameters of mkinfit objects

- Source: R/confint.mkinfit.R + Source: R/confint.mkinfit.R
@@ -161,279 +100,276 @@ platforms. The speed of the method could likely be improved by using the method of Venzon and Moolgavkar (1988).

- 
# S3 method for mkinfit
-confint(
-  object,
-  parm,
-  level = 0.95,
-  alpha = 1 - level,
-  cutoff,
-  method = c("quadratic", "profile"),
-  transformed = TRUE,
-  backtransform = TRUE,
-  cores = parallel::detectCores(),
-  rel_tol = 0.01,
-  quiet = FALSE,
-  ...
-)
+
+ 
# S3 method for mkinfit
+confint(
+  object,
+  parm,
+  level = 0.95,
+  alpha = 1 - level,
+  cutoff,
+  method = c("quadratic", "profile"),
+  transformed = TRUE,
+  backtransform = TRUE,
+  cores = parallel::detectCores(),
+  rel_tol = 0.01,
+  quiet = FALSE,
+  ...
+)
+
-

Arguments

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
object

An mkinfit object

parm

A vector of names of the parameters which are to be given -confidence intervals. If missing, all parameters are considered.

level

The confidence level required

alpha

The allowed error probability, overrides 'level' if specified.

cutoff

Possibility to specify an alternative cutoff for the difference +

+

Arguments

+
object
+

An mkinfit object

+
parm
+

A vector of names of the parameters which are to be given +confidence intervals. If missing, all parameters are considered.

+
level
+

The confidence level required

+
alpha
+

The allowed error probability, overrides 'level' if specified.

+
cutoff
+

Possibility to specify an alternative cutoff for the difference in the log-likelihoods at the confidence boundary. Specifying an explicit -cutoff value overrides arguments 'level' and 'alpha'

method

The 'quadratic' method approximates the likelihood function at +cutoff value overrides arguments 'level' and 'alpha'

+
method
+

The 'quadratic' method approximates the likelihood function at the optimised parameters using the second term of the Taylor expansion, using a second derivative (hessian) contained in the object. The 'profile' method searches the parameter space for the -cutoff of the confidence intervals by means of a likelihood ratio test.

transformed

If the quadratic approximation is used, should it be -applied to the likelihood based on the transformed parameters?

backtransform

If we approximate the likelihood in terms of the +cutoff of the confidence intervals by means of a likelihood ratio test.

+
transformed
+

If the quadratic approximation is used, should it be +applied to the likelihood based on the transformed parameters?

+
backtransform
+

If we approximate the likelihood in terms of the transformed parameters, should we backtransform the parameters with -their confidence intervals?

cores

The number of cores to be used for multicore processing. -On Windows machines, cores > 1 is currently not supported.

rel_tol

If the method is 'profile', what should be the accuracy +their confidence intervals?

+
cores
+

The number of cores to be used for multicore processing. +On Windows machines, cores > 1 is currently not supported.

+
rel_tol
+

If the method is 'profile', what should be the accuracy of the lower and upper bounds, relative to the estimate obtained from -the quadratic method?

quiet

Should we suppress the message "Profiling the likelihood"

...

Not used

- -

Value

- +the quadratic method?

+
quiet
+

Should we suppress the message "Profiling the likelihood"

+
...
+

Not used

+
+
+

Value

A matrix with columns giving lower and upper confidence limits for each parameter.

-

References

- +
+
+

References

Bates DM and Watts GW (1988) Nonlinear regression analysis & its applications

Pawitan Y (2013) In all likelihood - Statistical modelling and inference using likelihood. Clarendon Press, Oxford.

Venzon DJ and Moolgavkar SH (1988) A Method for Computing Profile-Likelihood Based Confidence Intervals, Applied Statistics, 37, 87–94.

+
-

Examples

- 
f <- mkinfit("SFO", FOCUS_2006_C, quiet = TRUE)
-confint(f, method = "quadratic")
-
#>                2.5%      97.5%
-#> parent_0 71.8242430 93.1600766
-#> k_parent  0.2109541  0.4440528
-#> sigma     1.9778868  7.3681380

-# \dontrun{
-confint(f, method = "profile")
-
#> Profiling the likelihood
#>                2.5%      97.5%
-#> parent_0 73.0641834 92.1392181
-#> k_parent  0.2170293  0.4235348
-#> sigma     3.1307772  8.0628314

-# Set the number of cores for the profiling method for further examples
-if (identical(Sys.getenv("NOT_CRAN"), "true")) {
-  n_cores <- parallel::detectCores() - 1
-} else {
-  n_cores <- 1
-}
-if (Sys.getenv("TRAVIS") != "") n_cores = 1
-if (Sys.info()["sysname"] == "Windows") n_cores = 1
-
-SFO_SFO <- mkinmod(parent = mkinsub("SFO", "m1"), m1 = mkinsub("SFO"),
-  use_of_ff = "min", quiet = TRUE)
-SFO_SFO.ff <- mkinmod(parent = mkinsub("SFO", "m1"), m1 = mkinsub("SFO"),
-  use_of_ff = "max", quiet = TRUE)
-f_d_1 <- mkinfit(SFO_SFO, subset(FOCUS_2006_D, value != 0), quiet = TRUE)
-system.time(ci_profile <- confint(f_d_1, method = "profile", cores = 1, quiet = TRUE))
-
#>    user  system elapsed 
-#>   3.871   0.000   3.871 
# Using more cores does not save much time here, as parent_0 takes up most of the time
-# If we additionally exclude parent_0 (the confidence of which is often of
-# minor interest), we get a nice performance improvement if we use at least 4 cores
-system.time(ci_profile_no_parent_0 <- confint(f_d_1, method = "profile",
-  c("k_parent_sink", "k_parent_m1", "k_m1_sink", "sigma"), cores = n_cores))
-
#> Profiling the likelihood
#>    user  system elapsed 
-#>   1.484   0.116   0.923 
ci_profile
-
#>                       2.5%        97.5%
-#> parent_0      96.456003640 1.027703e+02
-#> k_parent_sink  0.040762501 5.549764e-02
-#> k_parent_m1    0.046786482 5.500879e-02
-#> k_m1_sink      0.003892605 6.702778e-03
-#> sigma          2.535612399 3.985263e+00
ci_quadratic_transformed <- confint(f_d_1, method = "quadratic")
-ci_quadratic_transformed
-
#>                       2.5%        97.5%
-#> parent_0      96.403841640 1.027931e+02
-#> k_parent_sink  0.041033378 5.596269e-02
-#> k_parent_m1    0.046777902 5.511931e-02
-#> k_m1_sink      0.004012217 6.897547e-03
-#> sigma          2.396089689 3.854918e+00
ci_quadratic_untransformed <- confint(f_d_1, method = "quadratic", transformed = FALSE)
-ci_quadratic_untransformed
-
#>                       2.5%        97.5%
-#> parent_0      96.403841645 102.79312449
-#> k_parent_sink  0.040485331   0.05535491
-#> k_parent_m1    0.046611582   0.05494364
-#> k_m1_sink      0.003835483   0.00668582
-#> sigma          2.396089689   3.85491806
# Against the expectation based on Bates and Watts (1988), the confidence
-# intervals based on the internal parameter transformation are less
-# congruent with the likelihood based intervals. Note the superiority of the
-# interval based on the untransformed fit for k_m1_sink
-rel_diffs_transformed <- abs((ci_quadratic_transformed - ci_profile)/ci_profile)
-rel_diffs_untransformed <- abs((ci_quadratic_untransformed - ci_profile)/ci_profile)
-rel_diffs_transformed < rel_diffs_untransformed
-
#>                2.5% 97.5%
-#> parent_0      FALSE FALSE
-#> k_parent_sink  TRUE FALSE
-#> k_parent_m1    TRUE FALSE
-#> k_m1_sink     FALSE FALSE
-#> sigma         FALSE FALSE
signif(rel_diffs_transformed, 3)
-
#>                   2.5%    97.5%
-#> parent_0      0.000541 0.000222
-#> k_parent_sink 0.006650 0.008380
-#> k_parent_m1   0.000183 0.002010
-#> k_m1_sink     0.030700 0.029100
-#> sigma         0.055000 0.032700
signif(rel_diffs_untransformed, 3)
-
#>                   2.5%    97.5%
-#> parent_0      0.000541 0.000222
-#> k_parent_sink 0.006800 0.002570
-#> k_parent_m1   0.003740 0.001180
-#> k_m1_sink     0.014700 0.002530
-#> sigma         0.055000 0.032700

-
-# Investigate a case with formation fractions
-f_d_2 <- mkinfit(SFO_SFO.ff, subset(FOCUS_2006_D, value != 0), quiet = TRUE)
-ci_profile_ff <- confint(f_d_2, method = "profile", cores = n_cores)
-
#> Profiling the likelihood
ci_profile_ff
-
#>                        2.5%        97.5%
-#> parent_0       96.456003640 1.027703e+02
-#> k_parent        0.090911032 1.071578e-01
-#> k_m1            0.003892606 6.702775e-03
-#> f_parent_to_m1  0.471328495 5.611550e-01
-#> sigma           2.535612399 3.985263e+00
ci_quadratic_transformed_ff <- confint(f_d_2, method = "quadratic")
-ci_quadratic_transformed_ff
-
#>                        2.5%        97.5%
-#> parent_0       96.403833578 102.79311649
-#> k_parent        0.090823771   0.10725430
-#> k_m1            0.004012219   0.00689755
-#> f_parent_to_m1  0.469118824   0.55959615
-#> sigma           2.396089689   3.85491806
ci_quadratic_untransformed_ff <- confint(f_d_2, method = "quadratic", transformed = FALSE)
-ci_quadratic_untransformed_ff
-
#>                        2.5%        97.5%
-#> parent_0       96.403833583 1.027931e+02
-#> k_parent        0.090491913 1.069035e-01
-#> k_m1            0.003835485 6.685823e-03
-#> f_parent_to_m1  0.469113477 5.598387e-01
-#> sigma           2.396089689 3.854918e+00
rel_diffs_transformed_ff <- abs((ci_quadratic_transformed_ff - ci_profile_ff)/ci_profile_ff)
-rel_diffs_untransformed_ff <- abs((ci_quadratic_untransformed_ff - ci_profile_ff)/ci_profile_ff)
-# While the confidence interval for the parent rate constant is closer to
-# the profile based interval when using the internal parameter
-# transformation, the interval for the metabolite rate constant is 'better
-# without internal parameter transformation.
-rel_diffs_transformed_ff < rel_diffs_untransformed_ff
-
#>                 2.5% 97.5%
-#> parent_0       FALSE FALSE
-#> k_parent        TRUE  TRUE
-#> k_m1           FALSE FALSE
-#> f_parent_to_m1  TRUE FALSE
-#> sigma           TRUE FALSE
rel_diffs_transformed_ff
-
#>                        2.5%        97.5%
-#> parent_0       0.0005408690 0.0002217233
-#> k_parent       0.0009598532 0.0009001864
-#> k_m1           0.0307283041 0.0290588361
-#> f_parent_to_m1 0.0046881769 0.0027780063
-#> sigma          0.0550252516 0.0327066836
rel_diffs_untransformed_ff
-
#>                        2.5%        97.5%
-#> parent_0       0.0005408689 0.0002217232
-#> k_parent       0.0046102156 0.0023732281
-#> k_m1           0.0146740690 0.0025291820
-#> f_parent_to_m1 0.0046995211 0.0023457712
-#> sigma          0.0550252516 0.0327066836

-# The profiling for the following fit does not finish in a reasonable time,
-# therefore we use the quadratic approximation
-m_synth_DFOP_par <- mkinmod(parent = mkinsub("DFOP", c("M1", "M2")),
-  M1 = mkinsub("SFO"),
-  M2 = mkinsub("SFO"),
-  use_of_ff = "max", quiet = TRUE)
-DFOP_par_c <- synthetic_data_for_UBA_2014[[12]]$data
-f_tc_2 <- mkinfit(m_synth_DFOP_par, DFOP_par_c, error_model = "tc",
-  error_model_algorithm = "direct", quiet = TRUE)
-confint(f_tc_2, method = "quadratic")
-
#>                        2.5%        97.5%
-#> parent_0       94.596039609 106.19954892
-#> k_M1            0.037605368   0.04490762
-#> k_M2            0.008568731   0.01087676
-#> f_parent_to_M1  0.021462489   0.62023882
-#> f_parent_to_M2  0.015165617   0.37975348
-#> k1              0.273897348   0.33388101
-#> k2              0.018614554   0.02250378
-#> g               0.671943411   0.73583305
-#> sigma_low       0.251283495   0.83992077
-#> rsd_high        0.040411024   0.07662008
confint(f_tc_2, "parent_0", method = "quadratic")
-
#>              2.5%    97.5%
-#> parent_0 94.59604 106.1995
# }
-
+
+

Examples

+ 
f <- mkinfit("SFO", FOCUS_2006_C, quiet = TRUE)
+confint(f, method = "quadratic")
+#>                2.5%      97.5%
+#> parent_0 71.8242430 93.1600766
+#> k_parent  0.2109541  0.4440528
+#> sigma     1.9778868  7.3681380
+
+# \dontrun{
+confint(f, method = "profile")
+#> Profiling the likelihood
+#>                2.5%      97.5%
+#> parent_0 73.0641834 92.1392181
+#> k_parent  0.2170293  0.4235348
+#> sigma     3.1307772  8.0628314
+
+# Set the number of cores for the profiling method for further examples
+if (identical(Sys.getenv("NOT_CRAN"), "true")) {
+  n_cores <- parallel::detectCores() - 1
+} else {
+  n_cores <- 1
+}
+if (Sys.getenv("TRAVIS") != "") n_cores = 1
+if (Sys.info()["sysname"] == "Windows") n_cores = 1
+
+SFO_SFO <- mkinmod(parent = mkinsub("SFO", "m1"), m1 = mkinsub("SFO"),
+  use_of_ff = "min", quiet = TRUE)
+SFO_SFO.ff <- mkinmod(parent = mkinsub("SFO", "m1"), m1 = mkinsub("SFO"),
+  use_of_ff = "max", quiet = TRUE)
+f_d_1 <- mkinfit(SFO_SFO, subset(FOCUS_2006_D, value != 0), quiet = TRUE)
+system.time(ci_profile <- confint(f_d_1, method = "profile", cores = 1, quiet = TRUE))
+#>    user  system elapsed 
+#>   3.933   0.000   3.934 
+# Using more cores does not save much time here, as parent_0 takes up most of the time
+# If we additionally exclude parent_0 (the confidence of which is often of
+# minor interest), we get a nice performance improvement if we use at least 4 cores
+system.time(ci_profile_no_parent_0 <- confint(f_d_1, method = "profile",
+  c("k_parent_sink", "k_parent_m1", "k_m1_sink", "sigma"), cores = n_cores))
+#> Profiling the likelihood
+#>    user  system elapsed 
+#>   1.496   0.172   0.968 
+ci_profile
+#>                       2.5%        97.5%
+#> parent_0      96.456003640 1.027703e+02
+#> k_parent_sink  0.040762501 5.549764e-02
+#> k_parent_m1    0.046786482 5.500879e-02
+#> k_m1_sink      0.003892605 6.702778e-03
+#> sigma          2.535612399 3.985263e+00
+ci_quadratic_transformed <- confint(f_d_1, method = "quadratic")
+ci_quadratic_transformed
+#>                       2.5%        97.5%
+#> parent_0      96.403841640 1.027931e+02
+#> k_parent_sink  0.041033378 5.596269e-02
+#> k_parent_m1    0.046777902 5.511931e-02
+#> k_m1_sink      0.004012217 6.897547e-03
+#> sigma          2.396089689 3.854918e+00
+ci_quadratic_untransformed <- confint(f_d_1, method = "quadratic", transformed = FALSE)
+ci_quadratic_untransformed
+#>                       2.5%        97.5%
+#> parent_0      96.403841645 102.79312449
+#> k_parent_sink  0.040485331   0.05535491
+#> k_parent_m1    0.046611582   0.05494364
+#> k_m1_sink      0.003835483   0.00668582
+#> sigma          2.396089689   3.85491806
+# Against the expectation based on Bates and Watts (1988), the confidence
+# intervals based on the internal parameter transformation are less
+# congruent with the likelihood based intervals. Note the superiority of the
+# interval based on the untransformed fit for k_m1_sink
+rel_diffs_transformed <- abs((ci_quadratic_transformed - ci_profile)/ci_profile)
+rel_diffs_untransformed <- abs((ci_quadratic_untransformed - ci_profile)/ci_profile)
+rel_diffs_transformed < rel_diffs_untransformed
+#>                2.5% 97.5%
+#> parent_0      FALSE FALSE
+#> k_parent_sink  TRUE FALSE
+#> k_parent_m1    TRUE FALSE
+#> k_m1_sink     FALSE FALSE
+#> sigma         FALSE FALSE
+signif(rel_diffs_transformed, 3)
+#>                   2.5%    97.5%
+#> parent_0      0.000541 0.000222
+#> k_parent_sink 0.006650 0.008380
+#> k_parent_m1   0.000183 0.002010
+#> k_m1_sink     0.030700 0.029100
+#> sigma         0.055000 0.032700
+signif(rel_diffs_untransformed, 3)
+#>                   2.5%    97.5%
+#> parent_0      0.000541 0.000222
+#> k_parent_sink 0.006800 0.002570
+#> k_parent_m1   0.003740 0.001180
+#> k_m1_sink     0.014700 0.002530
+#> sigma         0.055000 0.032700
+
+
+# Investigate a case with formation fractions
+f_d_2 <- mkinfit(SFO_SFO.ff, subset(FOCUS_2006_D, value != 0), quiet = TRUE)
+ci_profile_ff <- confint(f_d_2, method = "profile", cores = n_cores)
+#> Profiling the likelihood
+ci_profile_ff
+#>                        2.5%        97.5%
+#> parent_0       96.456003640 1.027703e+02
+#> k_parent        0.090911032 1.071578e-01
+#> k_m1            0.003892606 6.702775e-03
+#> f_parent_to_m1  0.471328495 5.611550e-01
+#> sigma           2.535612399 3.985263e+00
+ci_quadratic_transformed_ff <- confint(f_d_2, method = "quadratic")
+ci_quadratic_transformed_ff
+#>                        2.5%        97.5%
+#> parent_0       96.403833578 102.79311649
+#> k_parent        0.090823771   0.10725430
+#> k_m1            0.004012219   0.00689755
+#> f_parent_to_m1  0.469118824   0.55959615
+#> sigma           2.396089689   3.85491806
+ci_quadratic_untransformed_ff <- confint(f_d_2, method = "quadratic", transformed = FALSE)
+ci_quadratic_untransformed_ff
+#>                        2.5%        97.5%
+#> parent_0       96.403833583 1.027931e+02
+#> k_parent        0.090491913 1.069035e-01
+#> k_m1            0.003835485 6.685823e-03
+#> f_parent_to_m1  0.469113477 5.598387e-01
+#> sigma           2.396089689 3.854918e+00
+rel_diffs_transformed_ff <- abs((ci_quadratic_transformed_ff - ci_profile_ff)/ci_profile_ff)
+rel_diffs_untransformed_ff <- abs((ci_quadratic_untransformed_ff - ci_profile_ff)/ci_profile_ff)
+# While the confidence interval for the parent rate constant is closer to
+# the profile based interval when using the internal parameter
+# transformation, the interval for the metabolite rate constant is 'better
+# without internal parameter transformation.
+rel_diffs_transformed_ff < rel_diffs_untransformed_ff
+#>                 2.5% 97.5%
+#> parent_0       FALSE FALSE
+#> k_parent        TRUE  TRUE
+#> k_m1           FALSE FALSE
+#> f_parent_to_m1  TRUE FALSE
+#> sigma           TRUE FALSE
+rel_diffs_transformed_ff
+#>                        2.5%        97.5%
+#> parent_0       0.0005408690 0.0002217233
+#> k_parent       0.0009598532 0.0009001864
+#> k_m1           0.0307283041 0.0290588361
+#> f_parent_to_m1 0.0046881769 0.0027780063
+#> sigma          0.0550252516 0.0327066836
+rel_diffs_untransformed_ff
+#>                        2.5%        97.5%
+#> parent_0       0.0005408689 0.0002217232
+#> k_parent       0.0046102156 0.0023732281
+#> k_m1           0.0146740690 0.0025291820
+#> f_parent_to_m1 0.0046995211 0.0023457712
+#> sigma          0.0550252516 0.0327066836
+
+# The profiling for the following fit does not finish in a reasonable time,
+# therefore we use the quadratic approximation
+m_synth_DFOP_par <- mkinmod(parent = mkinsub("DFOP", c("M1", "M2")),
+  M1 = mkinsub("SFO"),
+  M2 = mkinsub("SFO"),
+  use_of_ff = "max", quiet = TRUE)
+DFOP_par_c <- synthetic_data_for_UBA_2014[[12]]$data
+f_tc_2 <- mkinfit(m_synth_DFOP_par, DFOP_par_c, error_model = "tc",
+  error_model_algorithm = "direct", quiet = TRUE)
+confint(f_tc_2, method = "quadratic")
+#>                        2.5%        97.5%
+#> parent_0       94.596039609 106.19954892
+#> k_M1            0.037605368   0.04490762
+#> k_M2            0.008568731   0.01087676
+#> f_parent_to_M1  0.021462489   0.62023882
+#> f_parent_to_M2  0.015165617   0.37975348
+#> k1              0.273897348   0.33388101
+#> k2              0.018614554   0.02250378
+#> g               0.671943411   0.73583305
+#> sigma_low       0.251283495   0.83992077
+#> rsd_high        0.040411024   0.07662008
+confint(f_tc_2, "parent_0", method = "quadratic")
+#>              2.5%    97.5%
+#> parent_0 94.59604 106.1995
+# }
+
+
+
- - - + + diff --git a/docs/reference/create_deg_func.html b/docs/reference/create_deg_func.html index 82583f1a..ca57addf 100644 --- a/docs/reference/create_deg_func.html +++ b/docs/reference/create_deg_func.html @@ -1,67 +1,12 @@ - - - - - - - -Create degradation functions for known analytical solutions — create_deg_func • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Create degradation functions for known analytical solutions — create_deg_func • mkin - - + + - - -
-
- -
- -
+

Create degradation functions for known analytical solutions

- Source: R/create_deg_func.R + Source: R/create_deg_func.R
@@ -147,83 +86,83 @@

Create degradation functions for known analytical solutions

- 
create_deg_func(spec, use_of_ff = c("min", "max"))
- -

Arguments

- - - - - - - - - - -
spec

List of model specifications as contained in mkinmod objects

use_of_ff

Minimum or maximum use of formation fractions

- -

Value

+
+ 
create_deg_func(spec, use_of_ff = c("min", "max"))
+
+
+

Arguments

+
spec
+

List of model specifications as contained in mkinmod objects

+
use_of_ff
+

Minimum or maximum use of formation fractions

+
+
+

Value

Degradation function to be attached to mkinmod objects

+
-

Examples

- 

-SFO_SFO <- mkinmod(
-  parent = mkinsub("SFO", "m1"),
-  m1 = mkinsub("SFO"))
-
#> Temporary DLL for differentials generated and loaded
FOCUS_D <- subset(FOCUS_2006_D, value != 0) # to avoid warnings
-fit_1 <- mkinfit(SFO_SFO, FOCUS_D, solution_type = "analytical", quiet = TRUE)
-fit_2 <- mkinfit(SFO_SFO, FOCUS_D, solution_type = "deSolve", quiet = TRUE)
-# \dontrun{
-if (require(rbenchmark))
-  benchmark(
-    analytical = mkinfit(SFO_SFO, FOCUS_D, solution_type = "analytical", quiet = TRUE),
-    deSolve = mkinfit(SFO_SFO, FOCUS_D, solution_type = "deSolve", quiet = TRUE),
-    replications = 2)
-
#> Loading required package: rbenchmark
#>         test replications elapsed relative user.self sys.self user.child
-#> 1 analytical            2   0.389    1.000     0.389        0          0
-#> 2    deSolve            2   0.690    1.774     0.690        0          0
-#>   sys.child
-#> 1         0
-#> 2         0
  DFOP_SFO <- mkinmod(
-    parent = mkinsub("DFOP", "m1"),
-    m1 = mkinsub("SFO"))
-
#> Temporary DLL for differentials generated and loaded
  benchmark(
-    analytical = mkinfit(DFOP_SFO, FOCUS_D, solution_type = "analytical", quiet = TRUE),
-    deSolve = mkinfit(DFOP_SFO, FOCUS_D, solution_type = "deSolve", quiet = TRUE),
-    replications = 2)
-
#>         test replications elapsed relative user.self sys.self user.child
-#> 1 analytical            2   0.817    1.000     0.818        0          0
-#> 2    deSolve            2   1.591    1.947     1.591        0          0
-#>   sys.child
-#> 1         0
-#> 2         0
# }
-
+
+

Examples

+ 

+SFO_SFO <- mkinmod(
+  parent = mkinsub("SFO", "m1"),
+  m1 = mkinsub("SFO"))
+#> Temporary DLL for differentials generated and loaded
+FOCUS_D <- subset(FOCUS_2006_D, value != 0) # to avoid warnings
+fit_1 <- mkinfit(SFO_SFO, FOCUS_D, solution_type = "analytical", quiet = TRUE)
+fit_2 <- mkinfit(SFO_SFO, FOCUS_D, solution_type = "deSolve", quiet = TRUE)
+# \dontrun{
+if (require(rbenchmark))
+  benchmark(
+    analytical = mkinfit(SFO_SFO, FOCUS_D, solution_type = "analytical", quiet = TRUE),
+    deSolve = mkinfit(SFO_SFO, FOCUS_D, solution_type = "deSolve", quiet = TRUE),
+    replications = 2)
+#> Loading required package: rbenchmark
+#>         test replications elapsed relative user.self sys.self user.child
+#> 1 analytical            2   0.446    1.000     0.446        0          0
+#> 2    deSolve            2   0.756    1.695     0.756        0          0
+#>   sys.child
+#> 1         0
+#> 2         0
+  DFOP_SFO <- mkinmod(
+    parent = mkinsub("DFOP", "m1"),
+    m1 = mkinsub("SFO"))
+#> Temporary DLL for differentials generated and loaded
+  benchmark(
+    analytical = mkinfit(DFOP_SFO, FOCUS_D, solution_type = "analytical", quiet = TRUE),
+    deSolve = mkinfit(DFOP_SFO, FOCUS_D, solution_type = "deSolve", quiet = TRUE),
+    replications = 2)
+#>         test replications elapsed relative user.self sys.self user.child
+#> 1 analytical            2   0.896    1.000     0.896        0          0
+#> 2    deSolve            2   1.685    1.881     1.685        0          0
+#>   sys.child
+#> 1         0
+#> 2         0
+# }
+
+
+
- - - + + diff --git a/docs/reference/dimethenamid_2018-1.png b/docs/reference/dimethenamid_2018-1.png new file mode 100644 index 00000000..338076a5 Binary files /dev/null and b/docs/reference/dimethenamid_2018-1.png differ diff --git a/docs/reference/dimethenamid_2018-2.png b/docs/reference/dimethenamid_2018-2.png new file mode 100644 index 00000000..1f41a3a8 Binary files /dev/null and b/docs/reference/dimethenamid_2018-2.png differ diff --git a/docs/reference/dimethenamid_2018.html b/docs/reference/dimethenamid_2018.html index 542599da..374d2287 100644 --- a/docs/reference/dimethenamid_2018.html +++ b/docs/reference/dimethenamid_2018.html @@ -1,72 +1,17 @@ - - - - - - - -Aerobic soil degradation data on dimethenamid and dimethenamid-P from the EU assessment in 2018 — dimethenamid_2018 • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Aerobic soil degradation data on dimethenamid and dimethenamid-P from the EU assessment in 2018 — dimethenamid_2018 • mkin - - - - - - - - - - + + - - - -
-
- -
- -
+

Aerobic soil degradation data on dimethenamid and dimethenamid-P from the EU assessment in 2018

- Source: R/dimethenamid_2018.R + Source: R/dimethenamid_2018.R
@@ -157,75 +96,637 @@ context of pesticide registrations, as the use of the data may be constrained by data protection regulations.

- 
dimethenamid_2018
- - -

Format

- -

An mkindsg object grouping seven datasets with some meta information

-

Source

+
+ 
dimethenamid_2018
+
+
+

Format

+

An mkindsg object grouping seven datasets with some meta information

+
+
+

Source

Rapporteur Member State Germany, Co-Rapporteur Member State Bulgaria (2018) Renewal Assessment Report Dimethenamid-P Volume 3 - B.8 Environmental fate and behaviour Rev. 2 - November 2017 -https://open.efsa.europa.eu/study-inventory/EFSA-Q-2014-00716

-

Details

- +https://open.efsa.europa.eu/study-inventory/EFSA-Q-2014-00716

+
+
+

Details

The R code used to create this data object is installed with this package in the 'dataset_generation' directory. In the code, page numbers are given for specific pieces of information in the comments.

+
-

Examples

- 
print(dimethenamid_2018)
-
#> <mkindsg> holding 7 mkinds objects
-#> Title $title:  Aerobic soil degradation data on dimethenamid-P from the EU assessment in 2018 
-#> Occurrence of observed compounds $observed_n:
-#> DMTAP   M23   M27   M31  DMTA 
-#>     3     7     7     7     4 
-#> Time normalisation factors $f_time_norm:
-#> [1] 1.0000000 0.9706477 1.2284784 1.2284784 0.6233856 0.7678922 0.6733938
-#> Meta information $meta:
-#>                      study  usda_soil_type study_moisture_ref_type rel_moisture
-#> Calke        Unsworth 2014      Sandy loam                     pF2         1.00
-#> Borstel  Staudenmaier 2009            Sand                     pF1         0.50
-#> Elliot 1        Wendt 1997       Clay loam                   pF2.5         0.75
-#> Elliot 2        Wendt 1997       Clay loam                   pF2.5         0.75
-#> Flaach          König 1996 Sandy clay loam                     pF1         0.40
-#> BBA 2.2         König 1995      Loamy sand                     pF1         0.40
-#> BBA 2.3         König 1995      Sandy loam                     pF1         0.40
-#>          study_ref_moisture temperature
-#> Calke                    NA          20
-#> Borstel               23.00          20
-#> Elliot 1              33.37          23
-#> Elliot 2              33.37          23
-#> Flaach                   NA          20
-#> BBA 2.2                  NA          20
-#> BBA 2.3                  NA          20
+
+

Examples

+ 
print(dimethenamid_2018)
+#> <mkindsg> holding 7 mkinds objects
+#> Title $title:  Aerobic soil degradation data on dimethenamid-P from the EU assessment in 2018 
+#> Occurrence of observed compounds $observed_n:
+#> DMTAP   M23   M27   M31  DMTA 
+#>     3     7     7     7     4 
+#> Time normalisation factors $f_time_norm:
+#> [1] 1.0000000 0.9706477 1.2284784 1.2284784 0.6233856 0.7678922 0.6733938
+#> Meta information $meta:
+#>                      study  usda_soil_type study_moisture_ref_type rel_moisture
+#> Calke        Unsworth 2014      Sandy loam                     pF2         1.00
+#> Borstel  Staudenmaier 2009            Sand                     pF1         0.50
+#> Elliot 1        Wendt 1997       Clay loam                   pF2.5         0.75
+#> Elliot 2        Wendt 1997       Clay loam                   pF2.5         0.75
+#> Flaach          König 1996 Sandy clay loam                     pF1         0.40
+#> BBA 2.2         König 1995      Loamy sand                     pF1         0.40
+#> BBA 2.3         König 1995      Sandy loam                     pF1         0.40
+#>          study_ref_moisture temperature
+#> Calke                    NA          20
+#> Borstel               23.00          20
+#> Elliot 1              33.37          23
+#> Elliot 2              33.37          23
+#> Flaach                   NA          20
+#> BBA 2.2                  NA          20
+#> BBA 2.3                  NA          20
+dmta_ds <- lapply(1:7, function(i) {
+  ds_i <- dimethenamid_2018$ds[[i]]$data
+  ds_i[ds_i$name == "DMTAP", "name"] <-  "DMTA"
+  ds_i$time <- ds_i$time * dimethenamid_2018$f_time_norm[i]
+  ds_i
+})
+names(dmta_ds) <- sapply(dimethenamid_2018$ds, function(ds) ds$title)
+dmta_ds[["Elliot"]] <- rbind(dmta_ds[["Elliot 1"]], dmta_ds[["Elliot 2"]])
+dmta_ds[["Elliot 1"]] <- NULL
+dmta_ds[["Elliot 2"]] <- NULL
+# \dontrun{
+dfop_sfo3_plus <- mkinmod(
+  DMTA = mkinsub("DFOP", c("M23", "M27", "M31")),
+  M23 = mkinsub("SFO"),
+  M27 = mkinsub("SFO"),
+  M31 = mkinsub("SFO", "M27", sink = FALSE),
+  quiet = TRUE
+)
+f_dmta_mkin_tc <- mmkin(
+  list("DFOP-SFO3+" = dfop_sfo3_plus),
+  dmta_ds, quiet = TRUE, error_model = "tc")
+nlmixr_model(f_dmta_mkin_tc)
+#> With est = 'saem', a different error model is required for each observed variableChanging the error model to 'obs_tc' (Two-component error for each observed variable)
+#> function () 
+#> {
+#>     ini({
+#>         DMTA_0 = 99
+#>         eta.DMTA_0 ~ 2.3
+#>         log_k_M23 = -3.9
+#>         eta.log_k_M23 ~ 0.55
+#>         log_k_M27 = -4.3
+#>         eta.log_k_M27 ~ 0.86
+#>         log_k_M31 = -4.2
+#>         eta.log_k_M31 ~ 0.75
+#>         log_k1 = -2.2
+#>         eta.log_k1 ~ 0.9
+#>         log_k2 = -3.8
+#>         eta.log_k2 ~ 1.6
+#>         g_qlogis = 0.44
+#>         eta.g_qlogis ~ 3.1
+#>         f_DMTA_tffm0_1_qlogis = -2.1
+#>         eta.f_DMTA_tffm0_1_qlogis ~ 0.3
+#>         f_DMTA_tffm0_2_qlogis = -2.2
+#>         eta.f_DMTA_tffm0_2_qlogis ~ 0.3
+#>         f_DMTA_tffm0_3_qlogis = -2.1
+#>         eta.f_DMTA_tffm0_3_qlogis ~ 0.3
+#>         sigma_low_DMTA = 0.7
+#>         rsd_high_DMTA = 0.026
+#>         sigma_low_M23 = 0.7
+#>         rsd_high_M23 = 0.026
+#>         sigma_low_M27 = 0.7
+#>         rsd_high_M27 = 0.026
+#>         sigma_low_M31 = 0.7
+#>         rsd_high_M31 = 0.026
+#>     })
+#>     model({
+#>         DMTA_0_model = DMTA_0 + eta.DMTA_0
+#>         DMTA(0) = DMTA_0_model
+#>         k_M23 = exp(log_k_M23 + eta.log_k_M23)
+#>         k_M27 = exp(log_k_M27 + eta.log_k_M27)
+#>         k_M31 = exp(log_k_M31 + eta.log_k_M31)
+#>         k1 = exp(log_k1 + eta.log_k1)
+#>         k2 = exp(log_k2 + eta.log_k2)
+#>         g = expit(g_qlogis + eta.g_qlogis)
+#>         f_DMTA_tffm0_1 = expit(f_DMTA_tffm0_1_qlogis + eta.f_DMTA_tffm0_1_qlogis)
+#>         f_DMTA_tffm0_2 = expit(f_DMTA_tffm0_2_qlogis + eta.f_DMTA_tffm0_2_qlogis)
+#>         f_DMTA_tffm0_3 = expit(f_DMTA_tffm0_3_qlogis + eta.f_DMTA_tffm0_3_qlogis)
+#>         f_DMTA_to_M23 = f_DMTA_tffm0_1
+#>         f_DMTA_to_M27 = f_DMTA_tffm0_2 * (1 - f_DMTA_tffm0_1)
+#>         f_DMTA_to_M31 = f_DMTA_tffm0_3 * (1 - f_DMTA_tffm0_2) * 
+#>             (1 - f_DMTA_tffm0_1)
+#>         d/dt(DMTA) = -((k1 * g * exp(-k1 * time) + k2 * (1 - 
+#>             g) * exp(-k2 * time))/(g * exp(-k1 * time) + (1 - 
+#>             g) * exp(-k2 * time))) * DMTA
+#>         d/dt(M23) = +f_DMTA_to_M23 * ((k1 * g * exp(-k1 * time) + 
+#>             k2 * (1 - g) * exp(-k2 * time))/(g * exp(-k1 * time) + 
+#>             (1 - g) * exp(-k2 * time))) * DMTA - k_M23 * M23
+#>         d/dt(M27) = +f_DMTA_to_M27 * ((k1 * g * exp(-k1 * time) + 
+#>             k2 * (1 - g) * exp(-k2 * time))/(g * exp(-k1 * time) + 
+#>             (1 - g) * exp(-k2 * time))) * DMTA - k_M27 * M27 + 
+#>             k_M31 * M31
+#>         d/dt(M31) = +f_DMTA_to_M31 * ((k1 * g * exp(-k1 * time) + 
+#>             k2 * (1 - g) * exp(-k2 * time))/(g * exp(-k1 * time) + 
+#>             (1 - g) * exp(-k2 * time))) * DMTA - k_M31 * M31
+#>         DMTA ~ add(sigma_low_DMTA) + prop(rsd_high_DMTA)
+#>         M23 ~ add(sigma_low_M23) + prop(rsd_high_M23)
+#>         M27 ~ add(sigma_low_M27) + prop(rsd_high_M27)
+#>         M31 ~ add(sigma_low_M31) + prop(rsd_high_M31)
+#>     })
+#> }
+#> <environment: 0x555560091f40>
+# The focei fit takes about four minutes on my system
+system.time(
+  f_dmta_nlmixr_focei <- nlmixr(f_dmta_mkin_tc, est = "focei",
+    control = nlmixr::foceiControl(print = 500))
+)
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → calculate jacobian
+#> [====|====|====|====|====|====|====|====|====|====] 0:00:02 
+#> 
+#> → calculate sensitivities
+#> [====|====|====|====|====|====|====|====|====|====] 0:00:04 
+#> 
+#> → calculate ∂(f)/∂(η)
+#> [====|====|====|====|====|====|====|====|====|====] 0:00:01 
+#> 
+#> → calculate ∂(R²)/∂(η)
+#> [====|====|====|====|====|====|====|====|====|====] 0:00:08 
+#> 
+#> → finding duplicate expressions in inner model...
+#> [====|====|====|====|====|====|====|====|====|====] 0:00:07 
+#> 
+#> → optimizing duplicate expressions in inner model...
+#> [====|====|====|====|====|====|====|====|====|====] 0:00:07 
+#> 
+#> → finding duplicate expressions in EBE model...
+#> [====|====|====|====|====|====|====|====|====|====] 0:00:00 
+#> 
+#> → optimizing duplicate expressions in EBE model...
+#> [====|====|====|====|====|====|====|====|====|====] 0:00:00 
+#> 
+#> → compiling inner model...
+#>  
+#> ✔ done
+#> → finding duplicate expressions in FD model...
+#> 
+#> → optimizing duplicate expressions in FD model...
+#> 
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> → compiling events FD model...
+#>  
+#> ✔ done
+#> Needed Covariates:
+#> [1] "CMT"
+#> RxODE 1.1.4 using 8 threads (see ?getRxThreads)
+#>   no cache: create with `rxCreateCache()`
+#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
+#> F: Forward difference gradient approximation
+#> C: Central difference gradient approximation
+#> M: Mixed forward and central difference gradient approximation
+#> Unscaled parameters for Omegas=chol(solve(omega));
+#> Diagonals are transformed, as specified by foceiControl(diagXform=)
+#> |-----+---------------+-----------+-----------+-----------+-----------|
+#> |    #| Objective Fun |    DMTA_0 | log_k_M23 | log_k_M27 | log_k_M31 |
+#> |.....................|    log_k1 |    log_k2 |  g_qlogis |f_DMTA_tffm0_1_qlogis |
+#> |.....................|f_DMTA_tffm0_2_qlogis |f_DMTA_tffm0_3_qlogis | sigma_low |  rsd_high |
+#> |.....................|        o1 |        o2 |        o3 |        o4 |
+#> |.....................|        o5 |        o6 |        o7 |        o8 |
+#> |.....................|        o9 |       o10 |...........|...........|
+#> calculating covariance matrix
+#> done
+#> Calculating residuals/tables
+#> done
+#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))
+#> Warning: ETAs were reset to zero during optimization; (Can control by foceiControl(resetEtaP=.))
+#> Warning: last objective function was not at minimum, possible problems in optimization
+#> Warning: S matrix non-positive definite
+#> Warning: using R matrix to calculate covariance
+#> Warning: gradient problems with initial estimate and covariance; see $scaleInfo
+#>    user  system elapsed 
+#> 553.721  10.570 564.258 
+summary(f_dmta_nlmixr_focei)
+#> nlmixr version used for fitting:    2.0.6 
+#> mkin version used for pre-fitting:  1.1.0 
+#> R version used for fitting:         4.1.2 
+#> Date of fit:     Wed Mar  2 13:27:22 2022 
+#> Date of summary: Wed Mar  2 13:27:22 2022 
+#> 
+#> Equations:
+#> d_DMTA/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) * exp(-k2 *
+#>            time)) / (g * exp(-k1 * time) + (1 - g) * exp(-k2 * time)))
+#>            * DMTA
+#> d_M23/dt = + f_DMTA_to_M23 * ((k1 * g * exp(-k1 * time) + k2 * (1 - g)
+#>            * exp(-k2 * time)) / (g * exp(-k1 * time) + (1 - g) *
+#>            exp(-k2 * time))) * DMTA - k_M23 * M23
+#> d_M27/dt = + f_DMTA_to_M27 * ((k1 * g * exp(-k1 * time) + k2 * (1 - g)
+#>            * exp(-k2 * time)) / (g * exp(-k1 * time) + (1 - g) *
+#>            exp(-k2 * time))) * DMTA - k_M27 * M27 + k_M31 * M31
+#> d_M31/dt = + f_DMTA_to_M31 * ((k1 * g * exp(-k1 * time) + k2 * (1 - g)
+#>            * exp(-k2 * time)) / (g * exp(-k1 * time) + (1 - g) *
+#>            exp(-k2 * time))) * DMTA - k_M31 * M31
+#> 
+#> Data:
+#> 563 observations of 4 variable(s) grouped in 6 datasets
+#> 
+#> Degradation model predictions using RxODE
+#> 
+#> Fitted in 564.08 s
+#> 
+#> Variance model: Two-component variance function 
+#> 
+#> Mean of starting values for individual parameters:
+#>       DMTA_0    log_k_M23    log_k_M27    log_k_M31 f_DMTA_ilr_1 f_DMTA_ilr_2 
+#>      98.7132      -3.9216      -4.3306      -4.2442       0.1376       0.1388 
+#> f_DMTA_ilr_3       log_k1       log_k2     g_qlogis 
+#>      -1.7554      -2.2352      -3.7758       0.4363 
+#> 
+#> Mean of starting values for error model parameters:
+#> sigma_low  rsd_high 
+#>   0.70012   0.02577 
+#> 
+#> Fixed degradation parameter values:
+#> None
+#> 
+#> Results:
+#> 
+#> Likelihood calculated by focei  
+#>    AIC  BIC logLik
+#>   1857 1952 -906.5
+#> 
+#> Optimised parameters:
+#>                          est.  lower   upper
+#> DMTA_0                98.0116 95.243 100.780
+#> log_k_M23             -4.0184 -5.213  -2.824
+#> log_k_M27             -4.2033 -5.013  -3.394
+#> log_k_M31             -4.1728 -4.999  -3.347
+#> log_k1                -2.4831 -3.398  -1.568
+#> log_k2                -3.8423 -5.450  -2.235
+#> g_qlogis               0.4682 -2.188   3.124
+#> f_DMTA_tffm0_1_qlogis -2.0823 -2.591  -1.574
+#> f_DMTA_tffm0_2_qlogis -2.1265 -2.686  -1.567
+#> f_DMTA_tffm0_3_qlogis -2.0795 -2.735  -1.424
+#> 
+#> Correlation: 
+#>                       DMTA_0  lg__M23 lg__M27 lg__M31 log_k1  log_k2  g_qlogs
+#> log_k_M23             -0.0154                                                
+#> log_k_M27             -0.0164  0.0031                                        
+#> log_k_M31             -0.0131  0.0018  0.0541                                
+#> log_k1                -0.0306  0.0045  0.0019  0.0011                        
+#> log_k2                 0.0527 -0.0043 -0.0037 -0.0003  0.0375                
+#> g_qlogis              -0.1005  0.0076  0.0074  0.0013  0.0910  0.1151        
+#> f_DMTA_tffm0_1_qlogis -0.0308  0.0362  0.0024  0.0021  0.0058 -0.0070  0.0145
+#> f_DMTA_tffm0_2_qlogis -0.0309  0.0062  0.0353 -0.0229  0.0047 -0.0082  0.0146
+#> f_DMTA_tffm0_3_qlogis -0.0308  0.0061  0.0419  0.0547  0.0033 -0.0055  0.0104
+#>                       f_DMTA_0_1 f_DMTA_0_2
+#> log_k_M23                                  
+#> log_k_M27                                  
+#> log_k_M31                                  
+#> log_k1                                     
+#> log_k2                                     
+#> g_qlogis                                   
+#> f_DMTA_tffm0_1_qlogis                      
+#> f_DMTA_tffm0_2_qlogis  0.0118              
+#> f_DMTA_tffm0_3_qlogis  0.0086    -0.0057   
+#> 
+#> Random effects (omega):
+#>                           eta.DMTA_0 eta.log_k_M23 eta.log_k_M27 eta.log_k_M31
+#> eta.DMTA_0                     4.224         0.000        0.0000        0.0000
+#> eta.log_k_M23                  0.000         1.041        0.0000        0.0000
+#> eta.log_k_M27                  0.000         0.000        0.4609        0.0000
+#> eta.log_k_M31                  0.000         0.000        0.0000        0.4728
+#> eta.log_k1                     0.000         0.000        0.0000        0.0000
+#> eta.log_k2                     0.000         0.000        0.0000        0.0000
+#> eta.g_qlogis                   0.000         0.000        0.0000        0.0000
+#> eta.f_DMTA_tffm0_1_qlogis      0.000         0.000        0.0000        0.0000
+#> eta.f_DMTA_tffm0_2_qlogis      0.000         0.000        0.0000        0.0000
+#> eta.f_DMTA_tffm0_3_qlogis      0.000         0.000        0.0000        0.0000
+#>                           eta.log_k1 eta.log_k2 eta.g_qlogis
+#> eta.DMTA_0                     0.000      0.000         0.00
+#> eta.log_k_M23                  0.000      0.000         0.00
+#> eta.log_k_M27                  0.000      0.000         0.00
+#> eta.log_k_M31                  0.000      0.000         0.00
+#> eta.log_k1                     0.635      0.000         0.00
+#> eta.log_k2                     0.000      1.662         0.00
+#> eta.g_qlogis                   0.000      0.000         4.36
+#> eta.f_DMTA_tffm0_1_qlogis      0.000      0.000         0.00
+#> eta.f_DMTA_tffm0_2_qlogis      0.000      0.000         0.00
+#> eta.f_DMTA_tffm0_3_qlogis      0.000      0.000         0.00
+#>                           eta.f_DMTA_tffm0_1_qlogis eta.f_DMTA_tffm0_2_qlogis
+#> eta.DMTA_0                                   0.0000                    0.0000
+#> eta.log_k_M23                                0.0000                    0.0000
+#> eta.log_k_M27                                0.0000                    0.0000
+#> eta.log_k_M31                                0.0000                    0.0000
+#> eta.log_k1                                   0.0000                    0.0000
+#> eta.log_k2                                   0.0000                    0.0000
+#> eta.g_qlogis                                 0.0000                    0.0000
+#> eta.f_DMTA_tffm0_1_qlogis                    0.1909                    0.0000
+#> eta.f_DMTA_tffm0_2_qlogis                    0.0000                    0.2232
+#> eta.f_DMTA_tffm0_3_qlogis                    0.0000                    0.0000
+#>                           eta.f_DMTA_tffm0_3_qlogis
+#> eta.DMTA_0                                   0.0000
+#> eta.log_k_M23                                0.0000
+#> eta.log_k_M27                                0.0000
+#> eta.log_k_M31                                0.0000
+#> eta.log_k1                                   0.0000
+#> eta.log_k2                                   0.0000
+#> eta.g_qlogis                                 0.0000
+#> eta.f_DMTA_tffm0_1_qlogis                    0.0000
+#> eta.f_DMTA_tffm0_2_qlogis                    0.0000
+#> eta.f_DMTA_tffm0_3_qlogis                    0.3149
+#> 
+#> Variance model:
+#> sigma_low  rsd_high 
+#>   0.82408   0.03045 
+#> 
+#> Backtransformed parameters:
+#>                   est.     lower     upper
+#> DMTA_0        98.01163 95.243379 100.77988
+#> k_M23          0.01798  0.005443   0.05940
+#> k_M27          0.01495  0.006652   0.03358
+#> k_M31          0.01541  0.006746   0.03520
+#> f_DMTA_to_M23  0.11083        NA        NA
+#> f_DMTA_to_M27  0.09474        NA        NA
+#> f_DMTA_to_M31  0.08827        NA        NA
+#> k1             0.08348  0.033429   0.20848
+#> k2             0.02144  0.004296   0.10704
+#> g              0.61496  0.100857   0.95788
+#> 
+#> Resulting formation fractions:
+#>                ff
+#> DMTA_M23  0.11083
+#> DMTA_M27  0.09474
+#> DMTA_M31  0.08827
+#> DMTA_sink 0.70616
+#> 
+#> Estimated disappearance times:
+#>       DT50   DT90 DT50back DT50_k1 DT50_k2
+#> DMTA 12.96  64.24    19.34   8.303   32.32
+#> M23  38.55 128.06       NA      NA      NA
+#> M27  46.38 154.06       NA      NA      NA
+#> M31  44.98 149.43       NA      NA      NA
+plot(f_dmta_nlmixr_focei)
+
+# Using saemix takes about 18 minutes
+system.time(
+  f_dmta_saemix <- saem(f_dmta_mkin_tc, test_log_parms = TRUE)
+)
+#> DINTDY-  T (=R1) illegal      
+#> In above message, R1 = 115.507
+#>  
+#>       T not in interval TCUR - HU (= R1) to TCUR (=R2)      
+#> In above message, R1 = 112.133, R2 = 113.577
+#>  
+#> DLSODA-  At T (=R1), too much accuracy requested  
+#>       for precision of machine..  See TOLSF (=R2) 
+#> In above message, R1 = 55.3899, R2 = nan
+#>  
+#> Error in out[available, var]: (subscript) logical subscript too long
+#> Timing stopped at: 12.58 0 12.58
+#> Timing stopped at: 12.99 0.008 13
+
+# nlmixr with est = "saem" is pretty fast with default iteration numbers, most
+# of the time (about 2.5 minutes) is spent for calculating the log likelihood at the end
+# The likelihood calculated for the nlmixr fit is much lower than that found by saemix
+# Also, the trace plot and the plot of the individual predictions is not
+# convincing for the parent. It seems we are fitting an overparameterised
+# model, so the result we get strongly depends on starting parameters and control settings.
+system.time(
+  f_dmta_nlmixr_saem <- nlmixr(f_dmta_mkin_tc, est = "saem",
+    control = nlmixr::saemControl(print = 500, logLik = TRUE, nmc = 9))
+)
+#> With est = 'saem', a different error model is required for each observed variableChanging the error model to 'obs_tc' (Two-component error for each observed variable)
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#>  
+#> → generate SAEM model
+#> ✔ done
+#> 1:    98.7179   -3.4492   -3.2592   -3.6952   -2.1629   -2.7824    0.8990   -2.8080   -2.7380   -2.8041    2.7789    0.6848    0.8170    0.7125    0.8550    1.5200    2.9882    0.3073    0.2850    0.2877    4.0480    0.4153    4.5214    0.3775    4.4419    0.4181    3.7069    0.5935
+#> 500:    97.8519   -4.3891   -4.0888   -4.1247   -2.9246   -4.2755    2.6294   -2.1212   -2.1380   -2.0739    3.1293    1.2665    0.2763    0.3429    0.5743    1.5561    4.4991    0.1499    0.1551    0.3103    0.9514    0.0341    0.4846    0.1068    0.6597    0.0767    0.7836    0.0360
+#> Calculating covariance matrix
+#> 
+#> Calculating -2LL by Gaussian quadrature (nnodes=3,nsd=1.6)
+#> 
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> Needed Covariates:
+#> [1] "CMT"
+#> Calculating residuals/tables
+#> done
+#>    user  system elapsed 
+#> 785.825   3.841 153.598 
+traceplot(f_dmta_nlmixr_saem$nm)
+#> Error in traceplot(f_dmta_nlmixr_saem$nm): could not find function "traceplot"
+summary(f_dmta_nlmixr_saem)
+#> nlmixr version used for fitting:    2.0.6 
+#> mkin version used for pre-fitting:  1.1.0 
+#> R version used for fitting:         4.1.2 
+#> Date of fit:     Wed Mar  2 13:30:09 2022 
+#> Date of summary: Wed Mar  2 13:30:09 2022 
+#> 
+#> Equations:
+#> d_DMTA/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) * exp(-k2 *
+#>            time)) / (g * exp(-k1 * time) + (1 - g) * exp(-k2 * time)))
+#>            * DMTA
+#> d_M23/dt = + f_DMTA_to_M23 * ((k1 * g * exp(-k1 * time) + k2 * (1 - g)
+#>            * exp(-k2 * time)) / (g * exp(-k1 * time) + (1 - g) *
+#>            exp(-k2 * time))) * DMTA - k_M23 * M23
+#> d_M27/dt = + f_DMTA_to_M27 * ((k1 * g * exp(-k1 * time) + k2 * (1 - g)
+#>            * exp(-k2 * time)) / (g * exp(-k1 * time) + (1 - g) *
+#>            exp(-k2 * time))) * DMTA - k_M27 * M27 + k_M31 * M31
+#> d_M31/dt = + f_DMTA_to_M31 * ((k1 * g * exp(-k1 * time) + k2 * (1 - g)
+#>            * exp(-k2 * time)) / (g * exp(-k1 * time) + (1 - g) *
+#>            exp(-k2 * time))) * DMTA - k_M31 * M31
+#> 
+#> Data:
+#> 563 observations of 4 variable(s) grouped in 6 datasets
+#> 
+#> Degradation model predictions using RxODE
+#> 
+#> Fitted in 153.313 s
+#> 
+#> Variance model: Two-component variance function 
+#> 
+#> Mean of starting values for individual parameters:
+#>       DMTA_0    log_k_M23    log_k_M27    log_k_M31 f_DMTA_ilr_1 f_DMTA_ilr_2 
+#>      98.7132      -3.9216      -4.3306      -4.2442       0.1376       0.1388 
+#> f_DMTA_ilr_3       log_k1       log_k2     g_qlogis 
+#>      -1.7554      -2.2352      -3.7758       0.4363 
+#> 
+#> Mean of starting values for error model parameters:
+#> sigma_low_DMTA  rsd_high_DMTA  sigma_low_M23   rsd_high_M23  sigma_low_M27 
+#>        0.70012        0.02577        0.70012        0.02577        0.70012 
+#>   rsd_high_M27  sigma_low_M31   rsd_high_M31 
+#>        0.02577        0.70012        0.02577 
+#> 
+#> Fixed degradation parameter values:
+#> None
+#> 
+#> Results:
+#> 
+#> Likelihood calculated by focei  
+#>    AIC  BIC logLik
+#>   1966 2088 -955.2
+#> 
+#> Optimised parameters:
+#>                         est.    lower  upper
+#> DMTA_0                97.852 95.86386 99.840
+#> log_k_M23             -4.389 -5.35084 -3.427
+#> log_k_M27             -4.089 -4.54432 -3.633
+#> log_k_M31             -4.125 -4.63280 -3.617
+#> log_k1                -2.925 -3.54158 -2.308
+#> log_k2                -4.275 -5.81760 -2.733
+#> g_qlogis               2.629 -0.01785  5.277
+#> f_DMTA_tffm0_1_qlogis -2.121 -2.44462 -1.798
+#> f_DMTA_tffm0_2_qlogis -2.138 -2.47804 -1.798
+#> f_DMTA_tffm0_3_qlogis -2.074 -2.53581 -1.612
+#> 
+#> Correlation: 
+#>                       DMTA_0  lg__M23 lg__M27 lg__M31 log_k1  log_k2  g_qlogs
+#> log_k_M23             -0.0164                                                
+#> log_k_M27             -0.0267  0.0028                                        
+#> log_k_M31             -0.0179  0.0023  0.0755                                
+#> log_k1                 0.0385 -0.0034 -0.0054 -0.0029                        
+#> log_k2                 0.0381  0.0115  0.0087  0.0093  0.0786                
+#> g_qlogis              -0.0656  0.0021  0.0051  0.0001 -0.1177 -0.4389        
+#> f_DMTA_tffm0_1_qlogis -0.0604  0.0554  0.0054  0.0039 -0.0082 -0.0022  0.0119
+#> f_DMTA_tffm0_2_qlogis -0.0601  0.0091  0.0577 -0.0350 -0.0081 -0.0057  0.0137
+#> f_DMTA_tffm0_3_qlogis -0.0515  0.0083  0.0569  0.0729 -0.0059  0.0005  0.0073
+#>                       f_DMTA_0_1 f_DMTA_0_2
+#> log_k_M23                                  
+#> log_k_M27                                  
+#> log_k_M31                                  
+#> log_k1                                     
+#> log_k2                                     
+#> g_qlogis                                   
+#> f_DMTA_tffm0_1_qlogis                      
+#> f_DMTA_tffm0_2_qlogis  0.0167              
+#> f_DMTA_tffm0_3_qlogis  0.0145    -0.0060   
+#> 
+#> Random effects (omega):
+#>                           eta.DMTA_0 eta.log_k_M23 eta.log_k_M27 eta.log_k_M31
+#> eta.DMTA_0                     3.129         0.000        0.0000        0.0000
+#> eta.log_k_M23                  0.000         1.266        0.0000        0.0000
+#> eta.log_k_M27                  0.000         0.000        0.2763        0.0000
+#> eta.log_k_M31                  0.000         0.000        0.0000        0.3429
+#> eta.log_k1                     0.000         0.000        0.0000        0.0000
+#> eta.log_k2                     0.000         0.000        0.0000        0.0000
+#> eta.g_qlogis                   0.000         0.000        0.0000        0.0000
+#> eta.f_DMTA_tffm0_1_qlogis      0.000         0.000        0.0000        0.0000
+#> eta.f_DMTA_tffm0_2_qlogis      0.000         0.000        0.0000        0.0000
+#> eta.f_DMTA_tffm0_3_qlogis      0.000         0.000        0.0000        0.0000
+#>                           eta.log_k1 eta.log_k2 eta.g_qlogis
+#> eta.DMTA_0                    0.0000      0.000        0.000
+#> eta.log_k_M23                 0.0000      0.000        0.000
+#> eta.log_k_M27                 0.0000      0.000        0.000
+#> eta.log_k_M31                 0.0000      0.000        0.000
+#> eta.log_k1                    0.5743      0.000        0.000
+#> eta.log_k2                    0.0000      1.556        0.000
+#> eta.g_qlogis                  0.0000      0.000        4.499
+#> eta.f_DMTA_tffm0_1_qlogis     0.0000      0.000        0.000
+#> eta.f_DMTA_tffm0_2_qlogis     0.0000      0.000        0.000
+#> eta.f_DMTA_tffm0_3_qlogis     0.0000      0.000        0.000
+#>                           eta.f_DMTA_tffm0_1_qlogis eta.f_DMTA_tffm0_2_qlogis
+#> eta.DMTA_0                                   0.0000                    0.0000
+#> eta.log_k_M23                                0.0000                    0.0000
+#> eta.log_k_M27                                0.0000                    0.0000
+#> eta.log_k_M31                                0.0000                    0.0000
+#> eta.log_k1                                   0.0000                    0.0000
+#> eta.log_k2                                   0.0000                    0.0000
+#> eta.g_qlogis                                 0.0000                    0.0000
+#> eta.f_DMTA_tffm0_1_qlogis                    0.1499                    0.0000
+#> eta.f_DMTA_tffm0_2_qlogis                    0.0000                    0.1551
+#> eta.f_DMTA_tffm0_3_qlogis                    0.0000                    0.0000
+#>                           eta.f_DMTA_tffm0_3_qlogis
+#> eta.DMTA_0                                   0.0000
+#> eta.log_k_M23                                0.0000
+#> eta.log_k_M27                                0.0000
+#> eta.log_k_M31                                0.0000
+#> eta.log_k1                                   0.0000
+#> eta.log_k2                                   0.0000
+#> eta.g_qlogis                                 0.0000
+#> eta.f_DMTA_tffm0_1_qlogis                    0.0000
+#> eta.f_DMTA_tffm0_2_qlogis                    0.0000
+#> eta.f_DMTA_tffm0_3_qlogis                    0.3103
+#> 
+#> Variance model:
+#> sigma_low_DMTA  rsd_high_DMTA  sigma_low_M23   rsd_high_M23  sigma_low_M27 
+#>        0.95135        0.03412        0.48455        0.10682        0.65969 
+#>   rsd_high_M27  sigma_low_M31   rsd_high_M31 
+#>        0.07670        0.78365        0.03598 
+#> 
+#> Backtransformed parameters:
+#>                   est.     lower    upper
+#> DMTA_0        97.85189 95.863863 99.83992
+#> k_M23          0.01241  0.004744  0.03247
+#> k_M27          0.01676  0.010627  0.02643
+#> k_M31          0.01617  0.009727  0.02687
+#> f_DMTA_to_M23  0.10705        NA       NA
+#> f_DMTA_to_M27  0.09417        NA       NA
+#> f_DMTA_to_M31  0.08919        NA       NA
+#> k1             0.05369  0.028968  0.09950
+#> k2             0.01391  0.002975  0.06500
+#> g              0.93273  0.495538  0.99492
+#> 
+#> Resulting formation fractions:
+#>                ff
+#> DMTA_M23  0.10705
+#> DMTA_M27  0.09417
+#> DMTA_M31  0.08919
+#> DMTA_sink 0.70959
+#> 
+#> Estimated disappearance times:
+#>       DT50  DT90 DT50back DT50_k1 DT50_k2
+#> DMTA 13.81  49.3    14.84   12.91   49.85
+#> M23  55.85 185.5       NA      NA      NA
+#> M27  41.36 137.4       NA      NA      NA
+#> M31  42.87 142.4       NA      NA      NA
+plot(f_dmta_nlmixr_saem)
+
+# }
+
+
+
- - - + + diff --git a/docs/reference/endpoints.html b/docs/reference/endpoints.html index bfe030b0..1476eed8 100644 --- a/docs/reference/endpoints.html +++ b/docs/reference/endpoints.html @@ -1,73 +1,18 @@ - - - - - - - -Function to calculate endpoints for further use from kinetic models fitted -with mkinfit — endpoints • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Function to calculate endpoints for further use from kinetic models fitted +with mkinfit — endpoints • mkin - - - - - - - - - - - + + - - -
-
- -
- -
+

Function to calculate endpoints for further use from kinetic models fitted with mkinfit

- Source: R/endpoints.R + Source: R/endpoints.R
@@ -158,93 +97,96 @@ are equivalent to the rate constants of the DFOP model, but with the advantage that the SFORB model can also be used for metabolites.

- 
endpoints(fit)
+
+ 
endpoints(fit)
+
-

Arguments

- - - - - - -
fit

An object of class mkinfit or nlme.mmkin -or another object that has list components -mkinmod containing an mkinmod degradation model, and two numeric vectors, +

+

Arguments

+
fit
+

An object of class mkinfit, nlme.mmkin, saem.mmkin or +nlmixr.mmkin. Or another object that has list components +mkinmod containing an mkinmod degradation model, and two numeric vectors, bparms.optim and bparms.fixed, that contain parameter values -for that model.

- -

Value

- +for that model.

+
+
+

Value

A list with a matrix of dissipation times named distimes, and, if applicable, a vector of formation fractions named ff and, if the SFORB model was in use, a vector of eigenvalues of these SFORB models, equivalent to DFOP rate constants

-

Details

- +
+
+

Details

Additional DT50 values are calculated from the FOMC DT90 and k1 and k2 from HS and DFOP, as well as from Eigenvalues b1 and b2 of any SFORB models

-

Note

- -

The function is used internally by summary.mkinfit -and summary.nlme.mmkin

-

Author

- +
+
+

Note

+

The function is used internally by summary.mkinfit, +summary.nlme.mmkin and summary.saem.mmkin.

+
+
+

Author

Johannes Ranke

+
-

Examples

- 

-  fit <- mkinfit("FOMC", FOCUS_2006_C, quiet = TRUE)
-  endpoints(fit)
-
#> $distimes
-#>            DT50    DT90 DT50back
-#> parent 1.785233 15.1479 4.559973
-#> 
  # \dontrun{
-    fit_2 <- mkinfit("DFOP", FOCUS_2006_C, quiet = TRUE)
-    endpoints(fit_2)
-
#> $distimes
-#>            DT50     DT90 DT50back  DT50_k1  DT50_k2
-#> parent 1.886925 21.25106 6.397207 1.508293 38.83438
-#> 
    fit_3 <- mkinfit("SFORB", FOCUS_2006_C, quiet = TRUE)
-    endpoints(fit_3)
-
#> $ff
-#> parent_free 
-#>           1 
-#> 
-#> $SFORB
-#> parent_b1 parent_b2 
-#> 0.4595574 0.0178488 
-#> 
-#> $distimes
-#>            DT50     DT90 DT50back DT50_parent_b1 DT50_parent_b2
-#> parent 1.886925 21.25106 6.397208       1.508293       38.83438
-#> 
  # }
-
-
+
+

Examples

+ 

+  fit <- mkinfit("FOMC", FOCUS_2006_C, quiet = TRUE)
+  endpoints(fit)
+#> $distimes
+#>            DT50    DT90 DT50back
+#> parent 1.785233 15.1479 4.559973
+#> 
+  # \dontrun{
+    fit_2 <- mkinfit("DFOP", FOCUS_2006_C, quiet = TRUE)
+    endpoints(fit_2)
+#> $distimes
+#>            DT50     DT90 DT50back  DT50_k1  DT50_k2
+#> parent 1.886925 21.25106 6.397207 1.508293 38.83438
+#> 
+    fit_3 <- mkinfit("SFORB", FOCUS_2006_C, quiet = TRUE)
+    endpoints(fit_3)
+#> $ff
+#> parent_free 
+#>           1 
+#> 
+#> $SFORB
+#> parent_b1 parent_b2 
+#> 0.4595574 0.0178488 
+#> 
+#> $distimes
+#>            DT50     DT90 DT50back DT50_parent_b1 DT50_parent_b2
+#> parent 1.886925 21.25106 6.397208       1.508293       38.83438
+#> 
+  # }
+
+
+
+
- - - + + diff --git a/docs/reference/experimental_data_for_UBA-1.png b/docs/reference/experimental_data_for_UBA-1.png index 5527c07f..b7b4d63b 100644 Binary files a/docs/reference/experimental_data_for_UBA-1.png and b/docs/reference/experimental_data_for_UBA-1.png differ diff --git a/docs/reference/experimental_data_for_UBA.html b/docs/reference/experimental_data_for_UBA.html index 4da8d6c3..862c63e4 100644 --- a/docs/reference/experimental_data_for_UBA.html +++ b/docs/reference/experimental_data_for_UBA.html @@ -1,46 +1,5 @@ - - - - - - - -Experimental datasets used for development and testing of error models — experimental_data_for_UBA_2019 • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Experimental datasets used for development and testing of error models — experimental_data_for_UBA_2019 • mkin - - - - - - - - - - - - - + + -
-
- -
- -
+

Experimental datasets used for development and testing of error models

@@ -203,30 +142,33 @@ Dataset 12 is from the Renewal Assessment Report (RAR) for thifensulfuron-methyl (United Kingdom, 2014, p. 81).

- 
experimental_data_for_UBA_2019
+
+ 
experimental_data_for_UBA_2019
+
+
+

Format

+

A list containing twelve datasets as an R6 class defined by mkinds, + each containing, among others, the following components

title
+

The name of the dataset, e.g. Soil 1

-

Format

+
data
+

A data frame with the data in the form expected by mkinfit

-

A list containing twelve datasets as an R6 class defined by mkinds, - each containing, among others, the following components

-
title

The name of the dataset, e.g. Soil 1

-
data

A data frame with the data in the form expected by mkinfit

-
- -

Source

- +
+
+

Source

Austria (2015). Ethofumesate Renewal Assessment Report Volume 3 Annex B.8 (AS)

Belgium (2014). Isofetamid (IKF-5411) Draft Assessment Report Volume 3 Annex B.8 (AS)

France (2015). Imazamox Draft Renewal Assessment Report Volume 3 Annex B.8 (AS)

-

FOCUS (2014) “Generic guidance for Estimating Persistence and +

FOCUS (2014) “Generic guidance for Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in EU - Registration” Report of the FOCUS Work Group on Degradation Kinetics, + Registration” Report of the FOCUS Work Group on Degradation Kinetics, Version 1.1, 18 December 2014 - http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

+ http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

Germany (2013). Renewal Assessment Report Glyphosate Volume 3 Annex B.8: Environmental Fate and Behaviour

Hellas (2013). Renewal Assessment Report 2,4-D Volume 3 Annex B.8: Fate and behaviour in the @@ -236,70 +178,75 @@ Dataset 12 is from the Renewal Assessment Report (RAR) for thifensulfuron-methyl

United Kingdom (2014). Thifensulfuron-methyl - Annex B.8 (Volume 3) to the Report and Proposed Decision of the United Kingdom made to the European Commission under Regulation (EC) No. 1141/2010 for renewal of an active substance

+
-

Examples

- 
# \dontrun{
-
-# Model definitions
-sfo_sfo <- mkinmod(
-  parent = mkinsub("SFO", to = "A1"),
-  A1 = mkinsub("SFO"),
-  use_of_ff = "max"
-)
-
#> Temporary DLL for differentials generated and loaded

-dfop_sfo <- mkinmod(
-  parent = mkinsub("DFOP", to = "A1"),
-  A1 = mkinsub("SFO"),
-  use_of_ff = "max"
-)
-
#> Temporary DLL for differentials generated and loaded

-sfo_sfo_sfo <- mkinmod(
-  parent = mkinsub("SFO", to = "A1"),
-  A1 = mkinsub("SFO", to = "A2"),
-  A2 = mkinsub("SFO"),
-  use_of_ff = "max"
-)
-
#> Temporary DLL for differentials generated and loaded

-dfop_sfo_sfo <- mkinmod(
-  parent = mkinsub("DFOP", to = "A1"),
-  A1 = mkinsub("SFO", to = "A2"),
-  A2 = mkinsub("SFO"),
-  use_of_ff = "max"
-)
-
#> Temporary DLL for differentials generated and loaded
d_1_2 <- lapply(experimental_data_for_UBA_2019[1:2], function(x) x$data)
-names(d_1_2) <- paste("Soil", 1:2)
-
-
-f_1_2_tc <- mmkin(list("DFOP-SFO-SFO" = dfop_sfo_sfo), d_1_2, error_model = "tc")
-
-plot(f_1_2_tc, resplot = "errmod")
-

-# }
+
+

Examples

+ 
# \dontrun{
+
+# Model definitions
+sfo_sfo <- mkinmod(
+  parent = mkinsub("SFO", to = "A1"),
+  A1 = mkinsub("SFO"),
+  use_of_ff = "max"
+)
+#> Temporary DLL for differentials generated and loaded
+
+dfop_sfo <- mkinmod(
+  parent = mkinsub("DFOP", to = "A1"),
+  A1 = mkinsub("SFO"),
+  use_of_ff = "max"
+)
+#> Temporary DLL for differentials generated and loaded
+
+sfo_sfo_sfo <- mkinmod(
+  parent = mkinsub("SFO", to = "A1"),
+  A1 = mkinsub("SFO", to = "A2"),
+  A2 = mkinsub("SFO"),
+  use_of_ff = "max"
+)
+#> Temporary DLL for differentials generated and loaded
+
+dfop_sfo_sfo <- mkinmod(
+  parent = mkinsub("DFOP", to = "A1"),
+  A1 = mkinsub("SFO", to = "A2"),
+  A2 = mkinsub("SFO"),
+  use_of_ff = "max"
+)
+#> Temporary DLL for differentials generated and loaded
+d_1_2 <- lapply(experimental_data_for_UBA_2019[1:2], function(x) x$data)
+names(d_1_2) <- paste("Soil", 1:2)
+
+
+f_1_2_tc <- mmkin(list("DFOP-SFO-SFO" = dfop_sfo_sfo), d_1_2, error_model = "tc")
+
+plot(f_1_2_tc, resplot = "errmod")
+
+
+# }
+
+
+
-
-
-

Developed by Johannes Ranke.

+
+

Developed by Johannes Ranke.

-

Site built with pkgdown 1.6.1.

+

Site built with pkgdown 2.0.2.

-
-
+
- - + + diff --git a/docs/reference/f_time_norm_focus.html b/docs/reference/f_time_norm_focus.html index a0899ac8..4bec2bd5 100644 --- a/docs/reference/f_time_norm_focus.html +++ b/docs/reference/f_time_norm_focus.html @@ -1,68 +1,13 @@ - - - - - - - -Normalisation factors for aerobic soil degradation according to FOCUS guidance — f_time_norm_focus • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Normalisation factors for aerobic soil degradation according to FOCUS guidance — f_time_norm_focus • mkin - + + - - - -
-
- -
- -
+

Normalisation factors for aerobic soil degradation according to FOCUS guidance

- Source: R/f_time_norm_focus.R + Source: R/f_time_norm_focus.R
@@ -149,137 +88,121 @@ in Appendix 8 to the FOCUS kinetics guidance (FOCUS 2014, p. 369)." /> in Appendix 8 to the FOCUS kinetics guidance (FOCUS 2014, p. 369).

- 
f_time_norm_focus(object, ...)
-
-# S3 method for numeric
-f_time_norm_focus(
-  object,
-  moisture = NA,
-  field_moisture = NA,
-  temperature = object,
-  Q10 = 2.58,
-  walker = 0.7,
-  f_na = NA,
-  ...
-)
-
-# S3 method for mkindsg
-f_time_norm_focus(
-  object,
-  study_moisture_ref_source = c("auto", "meta", "focus"),
-  Q10 = 2.58,
-  walker = 0.7,
-  f_na = NA,
-  ...
-)
+
+ 
f_time_norm_focus(object, ...)
+
+# S3 method for numeric
+f_time_norm_focus(
+  object,
+  moisture = NA,
+  field_moisture = NA,
+  temperature = object,
+  Q10 = 2.58,
+  walker = 0.7,
+  f_na = NA,
+  ...
+)
+
+# S3 method for mkindsg
+f_time_norm_focus(
+  object,
+  study_moisture_ref_source = c("auto", "meta", "focus"),
+  Q10 = 2.58,
+  walker = 0.7,
+  f_na = NA,
+  ...
+)
+
-

Arguments

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
object

An object containing information used for the calculations

...

Currently not used

moisture

Numeric vector of moisture contents in \% w/w

field_moisture

Numeric vector of moisture contents at field capacity -(pF2) in \% w/w

temperature

Numeric vector of temperatures in °C

Q10

The Q10 value used for temperature normalisation

walker

The Walker exponent used for moisture normalisation

f_na

The factor to use for NA values. If set to NA, only factors -for complete cases will be returned.

study_moisture_ref_source

Source for the reference value +

+

Arguments

+
object
+

An object containing information used for the calculations

+
...
+

Currently not used

+
moisture
+

Numeric vector of moisture contents in \% w/w

+
field_moisture
+

Numeric vector of moisture contents at field capacity +(pF2) in \% w/w

+
temperature
+

Numeric vector of temperatures in °C

+
Q10
+

The Q10 value used for temperature normalisation

+
walker
+

The Walker exponent used for moisture normalisation

+
f_na
+

The factor to use for NA values. If set to NA, only factors +for complete cases will be returned.

+
study_moisture_ref_source
+

Source for the reference value used to calculate the study moisture. If 'auto', preference is given to a reference moisture given in the meta information, otherwise -the focus soil moisture for the soil class is used

- -

References

- -

FOCUS (2006) “Guidance Document on Estimating Persistence +the focus soil moisture for the soil class is used

+
+
+

References

+

FOCUS (2006) “Guidance Document on Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in -EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, +EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, EC Document Reference Sanco/10058/2005 version 2.0, 434 pp, -http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics -FOCUS (2014) “Generic guidance for Estimating Persistence +http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics +FOCUS (2014) “Generic guidance for Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in -EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, +EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, Version 1.1, 18 December 2014 -http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

-

See also

- -

focus_soil_moisture

+http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

+
+
+

See also

+

focus_soil_moisture

+
-

Examples

- 
f_time_norm_focus(25, 20, 25) # 1.37, compare FOCUS 2014 p. 184
-
#> [1] 1.373956

-D24_2014$meta
-
#>                                 study usda_soil_type study_moisture_ref_type
-#> Mississippi                Cohen 1991      Silt loam                    <NA>
-#> Fayette     Liu and Adelfinskaya 2011      Silt loam                     pF1
-#> RefSol 03-G Liu and Adelfinskaya 2011           Loam                     pF1
-#> Site E1     Liu and Adelfinskaya 2011           Loam                     pF1
-#> Site I2     Liu and Adelfinskaya 2011     Loamy sand                     pF1
-#>             rel_moisture temperature
-#> Mississippi           NA          25
-#> Fayette              0.5          20
-#> RefSol 03-G          0.5          20
-#> Site E1              0.5          20
-#> Site I2              0.5          20
# No moisture normalisation in the first dataset, so we use f_na = 1 to get
-# temperature only normalisation as in the EU evaluation
-f_time_norm_focus(D24_2014, study_moisture_ref_source = "focus", f_na = 1)
-
#> $time_norm was set to
-#> [1] 1.6062378 0.7118732 0.7156063 0.7156063 0.8977124
+
+

Examples

+ 
f_time_norm_focus(25, 20, 25) # 1.37, compare FOCUS 2014 p. 184
+#> [1] 1.373956
+
+D24_2014$meta
+#>                                 study usda_soil_type study_moisture_ref_type
+#> Mississippi                Cohen 1991      Silt loam                    <NA>
+#> Fayette     Liu and Adelfinskaya 2011      Silt loam                     pF1
+#> RefSol 03-G Liu and Adelfinskaya 2011           Loam                     pF1
+#> Site E1     Liu and Adelfinskaya 2011           Loam                     pF1
+#> Site I2     Liu and Adelfinskaya 2011     Loamy sand                     pF1
+#>             rel_moisture temperature
+#> Mississippi           NA          25
+#> Fayette              0.5          20
+#> RefSol 03-G          0.5          20
+#> Site E1              0.5          20
+#> Site I2              0.5          20
+# No moisture normalisation in the first dataset, so we use f_na = 1 to get
+# temperature only normalisation as in the EU evaluation
+f_time_norm_focus(D24_2014, study_moisture_ref_source = "focus", f_na = 1)
+#> $f_time_norm was (re)set to normalised values
+
+
+
- - - + + diff --git a/docs/reference/focus_soil_moisture.html b/docs/reference/focus_soil_moisture.html index bbacc554..726f87c4 100644 --- a/docs/reference/focus_soil_moisture.html +++ b/docs/reference/focus_soil_moisture.html @@ -1,68 +1,13 @@ - - - - - - - -FOCUS default values for soil moisture contents at field capacity, MWHC and 1/3 bar — focus_soil_moisture • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -FOCUS default values for soil moisture contents at field capacity, MWHC and 1/3 bar — focus_soil_moisture • mkin + + - - - - -
-
- -
- -
+

FOCUS default values for soil moisture contents at field capacity, MWHC and 1/3 bar

- Source: R/focus_soil_moisture.R + Source: R/focus_soil_moisture.R
@@ -149,58 +88,60 @@ corresponds to pF2, MWHC to pF 1 and 1/3 bar to pF 2.5." /> corresponds to pF2, MWHC to pF 1 and 1/3 bar to pF 2.5.

- 
focus_soil_moisture
- - -

Format

+
+ 
focus_soil_moisture
+
+
+

Format

A matrix with upper case USDA soil classes as row names, and water tension ('pF1', 'pF2', 'pF 2.5') as column names

-

Source

- +
+
+

Source

Anonymous (2014) Generic Guidance for Tier 1 FOCUS Ground Water Assessment -Version 2.2, May 2014 https://esdac.jrc.ec.europa.eu/projects/ground-water

- -

Examples

- 
focus_soil_moisture
-
#>                 pF1 pF2 pF2.5
-#> Sand             24  12     7
-#> Loamy sand       24  14     9
-#> Sandy loam       27  19    15
-#> Sandy clay loam  28  22    18
-#> Clay loam        32  28    25
-#> Loam             31  25    21
-#> Silt loam        32  26    21
-#> Silty clay loam  34  30    27
-#> Silt             31  27    21
-#> Sandy clay       41  35    31
-#> Silty clay       44  40    36
-#> Clay             53  48    43
+Version 2.2, May 2014 https://esdac.jrc.ec.europa.eu/projects/ground-water

+
+ +
+

Examples

+ 
focus_soil_moisture
+#>                 pF1 pF2 pF2.5
+#> Sand             24  12     7
+#> Loamy sand       24  14     9
+#> Sandy loam       27  19    15
+#> Sandy clay loam  28  22    18
+#> Clay loam        32  28    25
+#> Loam             31  25    21
+#> Silt loam        32  26    21
+#> Silty clay loam  34  30    27
+#> Silt             31  27    21
+#> Sandy clay       41  35    31
+#> Silty clay       44  40    36
+#> Clay             53  48    43
+
+
+
- - - + + diff --git a/docs/reference/get_deg_func.html b/docs/reference/get_deg_func.html index 44703806..55d325f5 100644 --- a/docs/reference/get_deg_func.html +++ b/docs/reference/get_deg_func.html @@ -1,67 +1,12 @@ - - - - - - - -Retrieve a degradation function from the mmkin namespace — get_deg_func • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Retrieve a degradation function from the mmkin namespace — get_deg_func • mkin - - - - + + -
-
- -
- -
+

Retrieve a degradation function from the mmkin namespace

- Source: R/nlme.mmkin.R + Source: R/nlme.mmkin.R
@@ -147,39 +86,37 @@

Retrieve a degradation function from the mmkin namespace

- 
get_deg_func()
- - -

Value

+
+ 
get_deg_func()
+
+
+

Value

A function that was likely previously assigned from within nlme.mmkin

+
+
- - - + + diff --git a/docs/reference/ilr.html b/docs/reference/ilr.html index 671faf5d..5322c41e 100644 --- a/docs/reference/ilr.html +++ b/docs/reference/ilr.html @@ -1,68 +1,13 @@ - - - - - - - -Function to perform isometric log-ratio transformation — ilr • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Function to perform isometric log-ratio transformation — ilr • mkin - - + + - - -
-
- -
- -
+

Function to perform isometric log-ratio transformation

- Source: R/ilr.R + Source: R/ilr.R
@@ -149,86 +88,97 @@ transformations." /> transformations.

- 
ilr(x)
-
-invilr(x)
+
+ 
ilr(x)
 
-    
Arguments

-    
-    
-    
-      
-      
-    
-    
x
A numeric vector. Naturally, the forward transformation is only
-sensible for vectors with all elements being greater than zero.

-
-    
Value

+invilr(x)
+
+
+

Arguments

+
x
+

A numeric vector. Naturally, the forward transformation is only +sensible for vectors with all elements being greater than zero.

+
+
+

Value

The result of the forward or backward transformation. The returned components always sum to 1 for the case of the inverse log-ratio transformation.

-

References

- +
+
+

References

Peter Filzmoser, Karel Hron (2008) Outlier Detection for Compositional Data Using Robust Methods. Math Geosci 40 233-248

-

See also

- -

Another implementation can be found in R package +

+
+

See also

+

Another implementation can be found in R package robCompositions.

-

Author

- +
+
+

Author

René Lehmann and Johannes Ranke

+
-

Examples

- 

-# Order matters
-ilr(c(0.1, 1, 10))
-
#> [1] -1.628174 -2.820079
ilr(c(10, 1, 0.1))
-
#> [1] 1.628174 2.820079
# Equal entries give ilr transformations with zeros as elements
-ilr(c(3, 3, 3))
-
#> [1] 0 0
# Almost equal entries give small numbers
-ilr(c(0.3, 0.4, 0.3))
-
#> [1] -0.2034219  0.1174457
# Only the ratio between the numbers counts, not their sum
-invilr(ilr(c(0.7, 0.29, 0.01)))
-
#> [1] 0.70 0.29 0.01
invilr(ilr(2.1 * c(0.7, 0.29, 0.01)))
-
#> [1] 0.70 0.29 0.01
# Inverse transformation of larger numbers gives unequal elements
-invilr(-10)
-
#> [1] 7.213536e-07 9.999993e-01
invilr(c(-10, 0))
-
#> [1] 7.207415e-07 9.991507e-01 8.486044e-04
# The sum of the elements of the inverse ilr is 1
-sum(invilr(c(-10, 0)))
-
#> [1] 1
# This is why we do not need all elements of the inverse transformation to go back:
-a <- c(0.1, 0.3, 0.5)
-b <- invilr(a)
-length(b) # Four elements
-
#> [1] 4
ilr(c(b[1:3], 1 - sum(b[1:3]))) # Gives c(0.1, 0.3, 0.5)
-
#> [1] 0.1 0.3 0.5

-
+
+

Examples

+ 

+# Order matters
+ilr(c(0.1, 1, 10))
+#> [1] -1.628174 -2.820079
+ilr(c(10, 1, 0.1))
+#> [1] 1.628174 2.820079
+# Equal entries give ilr transformations with zeros as elements
+ilr(c(3, 3, 3))
+#> [1] 0 0
+# Almost equal entries give small numbers
+ilr(c(0.3, 0.4, 0.3))
+#> [1] -0.2034219  0.1174457
+# Only the ratio between the numbers counts, not their sum
+invilr(ilr(c(0.7, 0.29, 0.01)))
+#> [1] 0.70 0.29 0.01
+invilr(ilr(2.1 * c(0.7, 0.29, 0.01)))
+#> [1] 0.70 0.29 0.01
+# Inverse transformation of larger numbers gives unequal elements
+invilr(-10)
+#> [1] 7.213536e-07 9.999993e-01
+invilr(c(-10, 0))
+#> [1] 7.207415e-07 9.991507e-01 8.486044e-04
+# The sum of the elements of the inverse ilr is 1
+sum(invilr(c(-10, 0)))
+#> [1] 1
+# This is why we do not need all elements of the inverse transformation to go back:
+a <- c(0.1, 0.3, 0.5)
+b <- invilr(a)
+length(b) # Four elements
+#> [1] 4
+ilr(c(b[1:3], 1 - sum(b[1:3]))) # Gives c(0.1, 0.3, 0.5)
+#> [1] 0.1 0.3 0.5
+
+
+
+
-
-
-

Developed by Johannes Ranke.

+
+

Developed by Johannes Ranke.

-

Site built with pkgdown 1.6.1.

+

Site built with pkgdown 2.0.2.

-
-
+
- - + + diff --git a/docs/reference/index.html b/docs/reference/index.html index ff7a4198..552829bf 100644 --- a/docs/reference/index.html +++ b/docs/reference/index.html @@ -1,66 +1,12 @@ - - - - - - - -Function reference • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Function reference • mkin - - - - + + -
-
- -
- -
+

Reference

- - - - - - - - - - -
-

Main functions

-

Essential functionality

+ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + + + - - - - - - + + + + - - - - - - - - - - + + + + + + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + - - - - - - - - - - - - - - - - - - + + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
+

Main functions

+

Essential functionality

+

mkinmod() print(<mkinmod>) mkinsub()

Function to set up a kinetic model with one or more state variables

+

mkinfit()

Fit a kinetic model to data with one or more state variables

+

mmkin() print(<mmkin>)

Fit one or more kinetic models with one or more state variables to one or more datasets

+

nafta() print(<nafta>)

Evaluate parent kinetics using the NAFTA guidance

-

Show results

-

Functions working with mkinfit objects

+
+

Show results

+

Functions working with mkinfit objects

+

plot(<mkinfit>) plot_sep() plot_res() plot_err()

Plot the observed data and the fitted model of an mkinfit object

+

summary(<mkinfit>) print(<summary.mkinfit>)

Summary method for class "mkinfit"

+

parms()

Extract model parameters from mkinfit models

+

confint(<mkinfit>)

Confidence intervals for parameters of mkinfit objects

+

update(<mkinfit>)

Update an mkinfit model with different arguments

+

lrtest(<mkinfit>) lrtest(<mmkin>)

Likelihood ratio test for mkinfit models

+

loftest()

Lack-of-fit test for models fitted to data with replicates

+

mkinerrmin()

Calculate the minimum error to assume in order to pass the variance test

+

endpoints()

Function to calculate endpoints for further use from kinetic models fitted with mkinfit

+

aw()

Calculate Akaike weights for model averaging

+

CAKE_export()

Export a list of datasets format to a CAKE study file

-

Work with mmkin objects

-

Functions working with aggregated results

+
+

Work with mmkin objects

+

Functions working with aggregated results

+

`[`(<mmkin>)

Subsetting method for mmkin objects

+

plot(<mmkin>)

Plot model fits (observed and fitted) and the residuals for a row or column of an mmkin object

+

AIC(<mmkin>) BIC(<mmkin>)

Calculate the AIC for a column of an mmkin object

-

Mixed models

-

Create and work with nonlinear mixed effects models

+
+

Mixed models

+

Create and work with nonlinear mixed effects models

+

nlme(<mmkin>) print(<nlme.mmkin>) update(<nlme.mmkin>)

Create an nlme model for an mmkin row object

+
+

saem() print(<saem.mmkin>) saemix_model() saemix_data()

+

Fit nonlinear mixed models with SAEM

+

nlmixr(<mmkin>) print(<nlmixr.mmkin>) nlmixr_model() nlmixr_data()

+

Fit nonlinear mixed models using nlmixr

plot(<mixed.mmkin>)

Plot predictions from a fitted nonlinear mixed model obtained via an mmkin row object

+

summary(<nlme.mmkin>) print(<summary.nlme.mmkin>)

Summary method for class "nlme.mmkin"

-

nlme_function() mean_degparms() nlme_data()

+
+

summary(<nlmixr.mmkin>) print(<summary.nlmixr.mmkin>)

+

Summary method for class "nlmixr.mmkin"

+

summary(<saem.mmkin>) print(<summary.saem.mmkin>)

+

Summary method for class "saem.mmkin"

+

nlme_function() nlme_data()

Helper functions to create nlme models from mmkin row objects

+

get_deg_func()

Retrieve a degradation function from the mmkin namespace

+

mixed() print(<mixed.mmkin>)

Create a mixed effects model from an mmkin row object

-

Datasets and known results

+
+

reexports

+

Objects exported from other packages

+

intervals(<saem.mmkin>)

+

Confidence intervals for parameters in saem.mmkin objects

+

intervals(<nlmixr.mmkin>)

+

Confidence intervals for parameters in nlmixr.mmkin objects

+

Datasets and known results

+

focus_soil_moisture

FOCUS default values for soil moisture contents at field capacity, MWHC and 1/3 bar

+

D24_2014

Aerobic soil degradation data on 2,4-D from the EU assessment in 2014

+

dimethenamid_2018

Aerobic soil degradation data on dimethenamid and dimethenamid-P from the EU assessment in 2018

+

FOCUS_2006_A FOCUS_2006_B FOCUS_2006_C FOCUS_2006_D FOCUS_2006_E FOCUS_2006_F

Datasets A to F from the FOCUS Kinetics report from 2006

+

FOCUS_2006_SFO_ref_A_to_F

Results of fitting the SFO model to Datasets A to F of FOCUS (2006)

+

FOCUS_2006_FOMC_ref_A_to_F

Results of fitting the FOMC model to Datasets A to F of FOCUS (2006)

+

FOCUS_2006_HS_ref_A_to_F

Results of fitting the HS model to Datasets A to F of FOCUS (2006)

+

FOCUS_2006_DFOP_ref_A_to_B

Results of fitting the DFOP model to Datasets A to B of FOCUS (2006)

+

NAFTA_SOP_Appendix_B NAFTA_SOP_Appendix_D

Example datasets from the NAFTA SOP published 2015

+

NAFTA_SOP_Attachment

Example datasets from Attachment 1 to the NAFTA SOP published 2015

+

mccall81_245T

Datasets on aerobic soil metabolism of 2,4,5-T in six soils

+

schaefer07_complex_case

Metabolism data set used for checking the software quality of KinGUI

+

synthetic_data_for_UBA_2014

Synthetic datasets for one parent compound with two metabolites

+

experimental_data_for_UBA_2019

Experimental datasets used for development and testing of error models

+

test_data_from_UBA_2014

Three experimental datasets from two water sediment systems and one soil

+

print(<mkinds>)

A dataset class for mkin

+

print(<mkindsg>)

A class for dataset groups for mkin

-

NAFTA guidance

+
+

NAFTA guidance

+

nafta() print(<nafta>)

Evaluate parent kinetics using the NAFTA guidance

+

plot(<nafta>)

Plot the results of the three models used in the NAFTA scheme.

-

Utility functions

+
+

Utility functions

+

f_time_norm_focus()

Normalisation factors for aerobic soil degradation according to FOCUS guidance

+

max_twa_parent() max_twa_sfo() max_twa_fomc() max_twa_dfop() max_twa_hs()

Function to calculate maximum time weighted average concentrations from kinetic models fitted with mkinfit

+

mkin_wide_to_long()

Convert a dataframe with observations over time into long format

+

mkin_long_to_wide()

Convert a dataframe from long to wide format

-

Helper functions mainly used internally

+
+

Helper functions mainly used internally

+

mkinpredict()

Produce predictions from a kinetic model using specific parameters

+

transform_odeparms() backtransform_odeparms()

Functions to transform and backtransform kinetic parameters for fitting

+

ilr() invilr()

Function to perform isometric log-ratio transformation

+
+

tffm0() invtffm0()

+

Transform formation fractions as in the first published mkin version

logLik(<mkinfit>)

Calculated the log-likelihood of a fitted mkinfit object

+

residuals(<mkinfit>)

Extract residuals from an mkinfit model

+

nobs(<mkinfit>)

Number of observations on which an mkinfit object was fitted

+

mkinresplot()

Function to plot residuals stored in an mkin object

+

mkinparplot()

Function to plot the confidence intervals obtained using mkinfit

+

mkinerrplot()

Function to plot squared residuals and the error model for an mkin object

+
+

mean_degparms()

+

Calculate mean degradation parameters for an mmkin row object

create_deg_func()

Create degradation functions for known analytical solutions

-

Analytical solutions

-

Parent only model solutions

+
+

Analytical solutions

+

Parent only model solutions

+

SFO.solution()

Single First-Order kinetics

+

FOMC.solution()

First-Order Multi-Compartment kinetics

+

DFOP.solution()

Double First-Order in Parallel kinetics

+

SFORB.solution()

Single First-Order Reversible Binding kinetics

+

HS.solution()

Hockey-Stick kinetics

+

IORE.solution()

Indeterminate order rate equation kinetics

+

logistic.solution()

Logistic kinetics

-

Generate synthetic datasets

+
+

Generate synthetic datasets

+

add_err()

Add normally distributed errors to simulated kinetic degradation data

+

sigma_twocomp()

Two-component error model

-

Deprecated functions

-

Functions that have been superseded

+
+

Deprecated functions

+

Functions that have been superseded

+

mkinplot()

Plot the observed data and the fitted model of an mkinfit object

- +
+
-
-
-

Developed by Johannes Ranke.

+
+

Developed by Johannes Ranke.

-

Site built with pkgdown 1.6.1.

+

Site built with pkgdown 2.0.2.

-
-
+
- - + + diff --git a/docs/reference/intervals.nlmixr.mmkin.html b/docs/reference/intervals.nlmixr.mmkin.html new file mode 100644 index 00000000..87906c07 --- /dev/null +++ b/docs/reference/intervals.nlmixr.mmkin.html @@ -0,0 +1,135 @@ + +Confidence intervals for parameters in nlmixr.mmkin objects — intervals.nlmixr.mmkin • mkin + + +
+
+ + + +
+
+
+

Confidence intervals for parameters in nlmixr.mmkin objects

+ Source: R/intervals.R + +
+ +
+

Confidence intervals for parameters in nlmixr.mmkin objects

+
+ +
+ 
# S3 method for nlmixr.mmkin
+intervals(object, level = 0.95, backtransform = TRUE, ...)
+
+ +
+

Arguments

+
object
+

The fitted saem.mmkin object

+
level
+

The confidence level.

+
backtransform
+

Should we backtransform the parameters where a one to +one correlation between transformed and backtransformed parameters exists?

+
...
+

For compatibility with the generic method

+
+
+

Value

+

An object with 'intervals.saem.mmkin' and 'intervals.lme' in the +class attribute

+
+ +
+ +
+ + +
+

Developed by Johannes Ranke.

+
+ +
+

Site built with pkgdown 2.0.2.

+
+ +
+ + + + + + + + diff --git a/docs/reference/intervals.saem.mmkin.html b/docs/reference/intervals.saem.mmkin.html new file mode 100644 index 00000000..d2eb31de --- /dev/null +++ b/docs/reference/intervals.saem.mmkin.html @@ -0,0 +1,137 @@ + +Confidence intervals for parameters in saem.mmkin objects — intervals.saem.mmkin • mkin + + +
+
+ + + +
+
+
+

Confidence intervals for parameters in saem.mmkin objects

+ Source: R/intervals.R + +
+ +
+

Confidence intervals for parameters in saem.mmkin objects

+
+ +
+ 
# S3 method for saem.mmkin
+intervals(object, level = 0.95, backtransform = TRUE, ...)
+
+ +
+

Arguments

+
object
+

The fitted saem.mmkin object

+
level
+

The confidence level. Must be the default of 0.95 as this is what +is available in the saemix object

+
backtransform
+

In case the model was fitted with mkin transformations, +should we backtransform the parameters where a one to one correlation +between transformed and backtransformed parameters exists?

+
...
+

For compatibility with the generic method

+
+
+

Value

+

An object with 'intervals.saem.mmkin' and 'intervals.lme' in the +class attribute

+
+ +
+ +
+ + +
+

Developed by Johannes Ranke.

+
+ +
+

Site built with pkgdown 2.0.2.

+
+ +
+ + + + + + + + diff --git a/docs/reference/loftest-1.png b/docs/reference/loftest-1.png index d6006ecc..f1dc5fa7 100644 Binary files a/docs/reference/loftest-1.png and b/docs/reference/loftest-1.png differ diff --git a/docs/reference/loftest-2.png b/docs/reference/loftest-2.png index 4d0dc551..3f1015a9 100644 Binary files a/docs/reference/loftest-2.png and b/docs/reference/loftest-2.png differ diff --git a/docs/reference/loftest-3.png b/docs/reference/loftest-3.png index 6afd084b..d897c363 100644 Binary files a/docs/reference/loftest-3.png and b/docs/reference/loftest-3.png differ diff --git a/docs/reference/loftest-4.png b/docs/reference/loftest-4.png index f94eede1..ac44c162 100644 Binary files a/docs/reference/loftest-4.png and b/docs/reference/loftest-4.png differ diff --git a/docs/reference/loftest-5.png b/docs/reference/loftest-5.png index 43460a65..0847bbec 100644 Binary files a/docs/reference/loftest-5.png and b/docs/reference/loftest-5.png differ diff --git a/docs/reference/loftest.html b/docs/reference/loftest.html index 6e72774e..75578cbe 100644 --- a/docs/reference/loftest.html +++ b/docs/reference/loftest.html @@ -1,70 +1,15 @@ - - - - - - - -Lack-of-fit test for models fitted to data with replicates — loftest • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Lack-of-fit test for models fitted to data with replicates — loftest • mkin - - - - - - - - - + + - - - - -
-
- -
- -
+

Lack-of-fit test for models fitted to data with replicates

- Source: R/loftest.R + Source: R/loftest.R
@@ -150,216 +89,228 @@ lrtest.default from the lmtest package." />

This is a generic function with a method currently only defined for mkinfit objects. It fits an anova model to the data contained in the object and compares the likelihoods using the likelihood ratio test -lrtest.default from the lmtest package.

+lrtest.default from the lmtest package.

- 
loftest(object, ...)
+    

+    
loftest(object, ...)
 
-# S3 method for mkinfit
-loftest(object, ...)

-
-    
Arguments

-    
-    
-    
-      
-      
-    
-    
-      
-      
-    
-    
object
A model object with a defined loftest method
...
Not used

-
-    
Details

+# S3 method for mkinfit
+loftest(object, ...)
+
+
+

Arguments

+
object
+

A model object with a defined loftest method

+
...
+

Not used

+
+
+

Details

The anova model is interpreted as the simplest form of an mkinfit model, assuming only a constant variance about the means, but not enforcing any structure of the means, so we have one model parameter for every mean of replicate samples.

-

See also

- -

lrtest

+
+
+

See also

+

lrtest

+
-

Examples

- 
# \dontrun{
-test_data <- subset(synthetic_data_for_UBA_2014[[12]]$data, name == "parent")
-sfo_fit <- mkinfit("SFO", test_data, quiet = TRUE)
-plot_res(sfo_fit) # We see a clear pattern in the residuals
-
loftest(sfo_fit)  # We have a clear lack of fit
-
#> Likelihood ratio test
-#> 
-#> Model 1: ANOVA with error model const
-#> Model 2: SFO with error model const
-#>   #Df  LogLik Df  Chisq Pr(>Chisq)    
-#> 1  10 -40.710                         
-#> 2   3 -63.954 -7 46.487  7.027e-08 ***
-#> ---
-#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
#
-# We try a different model (the one that was used to generate the data)
-dfop_fit <- mkinfit("DFOP", test_data, quiet = TRUE)
-plot_res(dfop_fit) # We don't see systematic deviations, but heteroscedastic residuals
-
# therefore we should consider adapting the error model, although we have
-loftest(dfop_fit) # no lack of fit
-
#> Likelihood ratio test
-#> 
-#> Model 1: ANOVA with error model const
-#> Model 2: DFOP with error model const
-#>   #Df  LogLik Df Chisq Pr(>Chisq)
-#> 1  10 -40.710                    
-#> 2   5 -42.453 -5 3.485     0.6257
#
-# This is the anova model used internally for the comparison
-test_data_anova <- test_data
-test_data_anova$time <- as.factor(test_data_anova$time)
-anova_fit <- lm(value ~ time, data = test_data_anova)
-summary(anova_fit)
-
#> 
-#> Call:
-#> lm(formula = value ~ time, data = test_data_anova)
-#> 
-#> Residuals:
-#>     Min      1Q  Median      3Q     Max 
-#> -6.1000 -0.5625  0.0000  0.5625  6.1000 
-#> 
-#> Coefficients:
-#>             Estimate Std. Error t value Pr(>|t|)    
-#> (Intercept)  103.150      2.323  44.409 7.44e-12 ***
-#> time1        -19.950      3.285  -6.073 0.000185 ***
-#> time3        -50.800      3.285 -15.465 8.65e-08 ***
-#> time7        -68.500      3.285 -20.854 6.28e-09 ***
-#> time14       -79.750      3.285 -24.278 1.63e-09 ***
-#> time28       -86.000      3.285 -26.181 8.35e-10 ***
-#> time60       -94.900      3.285 -28.891 3.48e-10 ***
-#> time90       -98.500      3.285 -29.986 2.49e-10 ***
-#> time120     -100.450      3.285 -30.580 2.09e-10 ***
-#> ---
-#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
-#> 
-#> Residual standard error: 3.285 on 9 degrees of freedom
-#> Multiple R-squared:  0.9953,	Adjusted R-squared:  0.9912 
-#> F-statistic: 240.5 on 8 and 9 DF,  p-value: 1.417e-09
-#> 
logLik(anova_fit) # We get the same likelihood and degrees of freedom
-
#> 'log Lik.' -40.71015 (df=10)
#
-test_data_2 <- synthetic_data_for_UBA_2014[[12]]$data
-m_synth_SFO_lin <- mkinmod(parent = list(type = "SFO", to = "M1"),
-  M1 = list(type = "SFO", to = "M2"),
-  M2 = list(type = "SFO"), use_of_ff = "max")
-
#> Temporary DLL for differentials generated and loaded
sfo_lin_fit <- mkinfit(m_synth_SFO_lin, test_data_2, quiet = TRUE)
-plot_res(sfo_lin_fit) # not a good model, we try parallel formation
-
loftest(sfo_lin_fit)
-
#> Likelihood ratio test
-#> 
-#> Model 1: ANOVA with error model const
-#> Model 2: m_synth_SFO_lin with error model const and fixed parameter(s) M1_0, M2_0
-#>   #Df   LogLik  Df  Chisq Pr(>Chisq)    
-#> 1  28  -93.606                          
-#> 2   7 -171.927 -21 156.64  < 2.2e-16 ***
-#> ---
-#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
#
-m_synth_SFO_par <- mkinmod(parent = list(type = "SFO", to = c("M1", "M2")),
-  M1 = list(type = "SFO"),
-  M2 = list(type = "SFO"), use_of_ff = "max")
-
#> Temporary DLL for differentials generated and loaded
sfo_par_fit <- mkinfit(m_synth_SFO_par, test_data_2, quiet = TRUE)
-plot_res(sfo_par_fit) # much better for metabolites
-
loftest(sfo_par_fit)
-
#> Likelihood ratio test
-#> 
-#> Model 1: ANOVA with error model const
-#> Model 2: m_synth_SFO_par with error model const and fixed parameter(s) M1_0, M2_0
-#>   #Df   LogLik  Df  Chisq Pr(>Chisq)    
-#> 1  28  -93.606                          
-#> 2   7 -156.331 -21 125.45  < 2.2e-16 ***
-#> ---
-#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
#
-m_synth_DFOP_par <- mkinmod(parent = list(type = "DFOP", to = c("M1", "M2")),
-  M1 = list(type = "SFO"),
-  M2 = list(type = "SFO"), use_of_ff = "max")
-
#> Temporary DLL for differentials generated and loaded
dfop_par_fit <- mkinfit(m_synth_DFOP_par, test_data_2, quiet = TRUE)
-plot_res(dfop_par_fit) # No visual lack of fit
-
loftest(dfop_par_fit)  # no lack of fit found by the test
-
#> Likelihood ratio test
-#> 
-#> Model 1: ANOVA with error model const
-#> Model 2: m_synth_DFOP_par with error model const and fixed parameter(s) M1_0, M2_0
-#>   #Df   LogLik  Df  Chisq Pr(>Chisq)
-#> 1  28  -93.606                      
-#> 2   9 -102.763 -19 18.313     0.5016
#
-# The anova model used for comparison in the case of transformation products
-test_data_anova_2 <- dfop_par_fit$data
-test_data_anova_2$variable <- as.factor(test_data_anova_2$variable)
-test_data_anova_2$time <- as.factor(test_data_anova_2$time)
-anova_fit_2 <- lm(observed ~ time:variable - 1, data = test_data_anova_2)
-summary(anova_fit_2)
-
#> 
-#> Call:
-#> lm(formula = observed ~ time:variable - 1, data = test_data_anova_2)
-#> 
-#> Residuals:
-#>     Min      1Q  Median      3Q     Max 
-#> -6.1000 -0.5875  0.0000  0.5875  6.1000 
-#> 
-#> Coefficients: (2 not defined because of singularities)
-#>                        Estimate Std. Error t value Pr(>|t|)    
-#> time0:variableparent    103.150      1.573  65.562  < 2e-16 ***
-#> time1:variableparent     83.200      1.573  52.882  < 2e-16 ***
-#> time3:variableparent     52.350      1.573  33.274  < 2e-16 ***
-#> time7:variableparent     34.650      1.573  22.024  < 2e-16 ***
-#> time14:variableparent    23.400      1.573  14.873 6.35e-14 ***
-#> time28:variableparent    17.150      1.573  10.901 5.47e-11 ***
-#> time60:variableparent     8.250      1.573   5.244 1.99e-05 ***
-#> time90:variableparent     4.650      1.573   2.956 0.006717 ** 
-#> time120:variableparent    2.700      1.573   1.716 0.098507 .  
-#> time0:variableM1             NA         NA      NA       NA    
-#> time1:variableM1         11.850      1.573   7.532 6.93e-08 ***
-#> time3:variableM1         22.700      1.573  14.428 1.26e-13 ***
-#> time7:variableM1         33.050      1.573  21.007  < 2e-16 ***
-#> time14:variableM1        31.250      1.573  19.863  < 2e-16 ***
-#> time28:variableM1        18.900      1.573  12.013 7.02e-12 ***
-#> time60:variableM1         7.550      1.573   4.799 6.28e-05 ***
-#> time90:variableM1         3.850      1.573   2.447 0.021772 *  
-#> time120:variableM1        2.050      1.573   1.303 0.204454    
-#> time0:variableM2             NA         NA      NA       NA    
-#> time1:variableM2          6.700      1.573   4.259 0.000254 ***
-#> time3:variableM2         16.750      1.573  10.646 8.93e-11 ***
-#> time7:variableM2         25.800      1.573  16.399 6.89e-15 ***
-#> time14:variableM2        28.600      1.573  18.178 6.35e-16 ***
-#> time28:variableM2        25.400      1.573  16.144 9.85e-15 ***
-#> time60:variableM2        21.600      1.573  13.729 3.81e-13 ***
-#> time90:variableM2        17.800      1.573  11.314 2.51e-11 ***
-#> time120:variableM2       14.100      1.573   8.962 2.79e-09 ***
-#> ---
-#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
-#> 
-#> Residual standard error: 2.225 on 25 degrees of freedom
-#> Multiple R-squared:  0.9979,	Adjusted R-squared:  0.9957 
-#> F-statistic: 469.2 on 25 and 25 DF,  p-value: < 2.2e-16
-#> 
# }
-
+
+

Examples

+ 
# \dontrun{
+test_data <- subset(synthetic_data_for_UBA_2014[[12]]$data, name == "parent")
+sfo_fit <- mkinfit("SFO", test_data, quiet = TRUE)
+plot_res(sfo_fit) # We see a clear pattern in the residuals
+
+loftest(sfo_fit)  # We have a clear lack of fit
+#> Likelihood ratio test
+#> 
+#> Model 1: ANOVA with error model const
+#> Model 2: SFO with error model const
+#>   #Df  LogLik Df  Chisq Pr(>Chisq)    
+#> 1  10 -40.710                         
+#> 2   3 -63.954 -7 46.487  7.027e-08 ***
+#> ---
+#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
+#
+# We try a different model (the one that was used to generate the data)
+dfop_fit <- mkinfit("DFOP", test_data, quiet = TRUE)
+plot_res(dfop_fit) # We don't see systematic deviations, but heteroscedastic residuals
+
+# therefore we should consider adapting the error model, although we have
+loftest(dfop_fit) # no lack of fit
+#> Likelihood ratio test
+#> 
+#> Model 1: ANOVA with error model const
+#> Model 2: DFOP with error model const
+#>   #Df  LogLik Df Chisq Pr(>Chisq)
+#> 1  10 -40.710                    
+#> 2   5 -42.453 -5 3.485     0.6257
+#
+# This is the anova model used internally for the comparison
+test_data_anova <- test_data
+test_data_anova$time <- as.factor(test_data_anova$time)
+anova_fit <- lm(value ~ time, data = test_data_anova)
+summary(anova_fit)
+#> 
+#> Call:
+#> lm(formula = value ~ time, data = test_data_anova)
+#> 
+#> Residuals:
+#>     Min      1Q  Median      3Q     Max 
+#> -6.1000 -0.5625  0.0000  0.5625  6.1000 
+#> 
+#> Coefficients:
+#>             Estimate Std. Error t value Pr(>|t|)    
+#> (Intercept)  103.150      2.323  44.409 7.44e-12 ***
+#> time1        -19.950      3.285  -6.073 0.000185 ***
+#> time3        -50.800      3.285 -15.465 8.65e-08 ***
+#> time7        -68.500      3.285 -20.854 6.28e-09 ***
+#> time14       -79.750      3.285 -24.278 1.63e-09 ***
+#> time28       -86.000      3.285 -26.181 8.35e-10 ***
+#> time60       -94.900      3.285 -28.891 3.48e-10 ***
+#> time90       -98.500      3.285 -29.986 2.49e-10 ***
+#> time120     -100.450      3.285 -30.580 2.09e-10 ***
+#> ---
+#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
+#> 
+#> Residual standard error: 3.285 on 9 degrees of freedom
+#> Multiple R-squared:  0.9953,	Adjusted R-squared:  0.9912 
+#> F-statistic: 240.5 on 8 and 9 DF,  p-value: 1.417e-09
+#> 
+logLik(anova_fit) # We get the same likelihood and degrees of freedom
+#> 'log Lik.' -40.71015 (df=10)
+#
+test_data_2 <- synthetic_data_for_UBA_2014[[12]]$data
+m_synth_SFO_lin <- mkinmod(parent = list(type = "SFO", to = "M1"),
+  M1 = list(type = "SFO", to = "M2"),
+  M2 = list(type = "SFO"), use_of_ff = "max")
+#> Temporary DLL for differentials generated and loaded
+sfo_lin_fit <- mkinfit(m_synth_SFO_lin, test_data_2, quiet = TRUE)
+plot_res(sfo_lin_fit) # not a good model, we try parallel formation
+
+loftest(sfo_lin_fit)
+#> Likelihood ratio test
+#> 
+#> Model 1: ANOVA with error model const
+#> Model 2: m_synth_SFO_lin with error model const and fixed parameter(s) M1_0, M2_0
+#>   #Df   LogLik  Df  Chisq Pr(>Chisq)    
+#> 1  28  -93.606                          
+#> 2   7 -171.927 -21 156.64  < 2.2e-16 ***
+#> ---
+#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
+#
+m_synth_SFO_par <- mkinmod(parent = list(type = "SFO", to = c("M1", "M2")),
+  M1 = list(type = "SFO"),
+  M2 = list(type = "SFO"), use_of_ff = "max")
+#> Temporary DLL for differentials generated and loaded
+sfo_par_fit <- mkinfit(m_synth_SFO_par, test_data_2, quiet = TRUE)
+plot_res(sfo_par_fit) # much better for metabolites
+
+loftest(sfo_par_fit)
+#> Likelihood ratio test
+#> 
+#> Model 1: ANOVA with error model const
+#> Model 2: m_synth_SFO_par with error model const and fixed parameter(s) M1_0, M2_0
+#>   #Df   LogLik  Df  Chisq Pr(>Chisq)    
+#> 1  28  -93.606                          
+#> 2   7 -156.331 -21 125.45  < 2.2e-16 ***
+#> ---
+#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
+#
+m_synth_DFOP_par <- mkinmod(parent = list(type = "DFOP", to = c("M1", "M2")),
+  M1 = list(type = "SFO"),
+  M2 = list(type = "SFO"), use_of_ff = "max")
+#> Temporary DLL for differentials generated and loaded
+dfop_par_fit <- mkinfit(m_synth_DFOP_par, test_data_2, quiet = TRUE)
+plot_res(dfop_par_fit) # No visual lack of fit
+
+loftest(dfop_par_fit)  # no lack of fit found by the test
+#> Likelihood ratio test
+#> 
+#> Model 1: ANOVA with error model const
+#> Model 2: m_synth_DFOP_par with error model const and fixed parameter(s) M1_0, M2_0
+#>   #Df   LogLik  Df  Chisq Pr(>Chisq)
+#> 1  28  -93.606                      
+#> 2   9 -102.763 -19 18.313     0.5016
+#
+# The anova model used for comparison in the case of transformation products
+test_data_anova_2 <- dfop_par_fit$data
+test_data_anova_2$variable <- as.factor(test_data_anova_2$variable)
+test_data_anova_2$time <- as.factor(test_data_anova_2$time)
+anova_fit_2 <- lm(observed ~ time:variable - 1, data = test_data_anova_2)
+summary(anova_fit_2)
+#> 
+#> Call:
+#> lm(formula = observed ~ time:variable - 1, data = test_data_anova_2)
+#> 
+#> Residuals:
+#>     Min      1Q  Median      3Q     Max 
+#> -6.1000 -0.5875  0.0000  0.5875  6.1000 
+#> 
+#> Coefficients: (2 not defined because of singularities)
+#>                        Estimate Std. Error t value Pr(>|t|)    
+#> time0:variableparent    103.150      1.573  65.562  < 2e-16 ***
+#> time1:variableparent     83.200      1.573  52.882  < 2e-16 ***
+#> time3:variableparent     52.350      1.573  33.274  < 2e-16 ***
+#> time7:variableparent     34.650      1.573  22.024  < 2e-16 ***
+#> time14:variableparent    23.400      1.573  14.873 6.35e-14 ***
+#> time28:variableparent    17.150      1.573  10.901 5.47e-11 ***
+#> time60:variableparent     8.250      1.573   5.244 1.99e-05 ***
+#> time90:variableparent     4.650      1.573   2.956 0.006717 ** 
+#> time120:variableparent    2.700      1.573   1.716 0.098507 .  
+#> time0:variableM1             NA         NA      NA       NA    
+#> time1:variableM1         11.850      1.573   7.532 6.93e-08 ***
+#> time3:variableM1         22.700      1.573  14.428 1.26e-13 ***
+#> time7:variableM1         33.050      1.573  21.007  < 2e-16 ***
+#> time14:variableM1        31.250      1.573  19.863  < 2e-16 ***
+#> time28:variableM1        18.900      1.573  12.013 7.02e-12 ***
+#> time60:variableM1         7.550      1.573   4.799 6.28e-05 ***
+#> time90:variableM1         3.850      1.573   2.447 0.021772 *  
+#> time120:variableM1        2.050      1.573   1.303 0.204454    
+#> time0:variableM2             NA         NA      NA       NA    
+#> time1:variableM2          6.700      1.573   4.259 0.000254 ***
+#> time3:variableM2         16.750      1.573  10.646 8.93e-11 ***
+#> time7:variableM2         25.800      1.573  16.399 6.89e-15 ***
+#> time14:variableM2        28.600      1.573  18.178 6.35e-16 ***
+#> time28:variableM2        25.400      1.573  16.144 9.85e-15 ***
+#> time60:variableM2        21.600      1.573  13.729 3.81e-13 ***
+#> time90:variableM2        17.800      1.573  11.314 2.51e-11 ***
+#> time120:variableM2       14.100      1.573   8.962 2.79e-09 ***
+#> ---
+#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
+#> 
+#> Residual standard error: 2.225 on 25 degrees of freedom
+#> Multiple R-squared:  0.9979,	Adjusted R-squared:  0.9957 
+#> F-statistic: 469.2 on 25 and 25 DF,  p-value: < 2.2e-16
+#> 
+# }
+
+
+ - - - + + diff --git a/docs/reference/logLik.mkinfit.html b/docs/reference/logLik.mkinfit.html index 83fb4e48..dc1bfbba 100644 --- a/docs/reference/logLik.mkinfit.html +++ b/docs/reference/logLik.mkinfit.html @@ -1,71 +1,16 @@ - - - - - - - -Calculated the log-likelihood of a fitted mkinfit object — logLik.mkinfit • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Calculated the log-likelihood of a fitted mkinfit object — logLik.mkinfit • mkin - - - - - - - - - - + + - - - -
-
- -
- -
+

Calculated the log-likelihood of a fitted mkinfit object

- Source: R/logLik.mkinfit.R + Source: R/logLik.mkinfit.R

This function returns the product of the likelihood densities of each observed value, as calculated as part of the fitting procedure using -dnorm, i.e. assuming normal distribution, and with the means +dnorm, i.e. assuming normal distribution, and with the means predicted by the degradation model, and the standard deviations predicted by the error model.

- 
# S3 method for mkinfit
-logLik(object, ...)
- -

Arguments

- - - - - - - - - - -
object

An object of class mkinfit.

...

For compatibility with the generic method

- -

Value

- -

An object of class logLik with the number of estimated +

+ 
# S3 method for mkinfit
+logLik(object, ...)
+
+ +
+

Arguments

+
object
+

An object of class mkinfit.

+
...
+

For compatibility with the generic method

+
+
+

Value

+

An object of class logLik with the number of estimated parameters (degradation model parameters plus variance model parameters) as attribute.

-

Details

- +
+
+

Details

The total number of estimated parameters returned with the value of the likelihood is calculated as the sum of fitted degradation model parameters and the fitted error model parameters.

-

See also

- -

Compare the AIC of columns of mmkin objects using -AIC.mmkin.

-

Author

- +
+
+

See also

+

Compare the AIC of columns of mmkin objects using +AIC.mmkin.

+
+
+

Author

Johannes Ranke

+
-

Examples

- 

-  # \dontrun{
-  sfo_sfo <- mkinmod(
-    parent = mkinsub("SFO", to = "m1"),
-    m1 = mkinsub("SFO")
-  )
-
#> Temporary DLL for differentials generated and loaded
  d_t <- subset(FOCUS_2006_D, value != 0)
-  f_nw <- mkinfit(sfo_sfo, d_t, quiet = TRUE) # no weighting (weights are unity)
-  f_obs <- update(f_nw, error_model = "obs")
-  f_tc <- update(f_nw, error_model = "tc")
-  AIC(f_nw, f_obs, f_tc)
-
#>       df      AIC
-#> f_nw   5 204.4486
-#> f_obs  6 205.8727
-#> f_tc   6 141.9656
  # }
-
-
+
+

Examples

+ 

+  # \dontrun{
+  sfo_sfo <- mkinmod(
+    parent = mkinsub("SFO", to = "m1"),
+    m1 = mkinsub("SFO")
+  )
+#> Temporary DLL for differentials generated and loaded
+  d_t <- subset(FOCUS_2006_D, value != 0)
+  f_nw <- mkinfit(sfo_sfo, d_t, quiet = TRUE) # no weighting (weights are unity)
+  f_obs <- update(f_nw, error_model = "obs")
+  f_tc <- update(f_nw, error_model = "tc")
+  AIC(f_nw, f_obs, f_tc)
+#>       df      AIC
+#> f_nw   5 204.4486
+#> f_obs  6 205.8727
+#> f_tc   6 141.9656
+  # }
+
+
+
+
-
-
-

Developed by Johannes Ranke.

+
+

Developed by Johannes Ranke.

-

Site built with pkgdown 1.6.1.

+

Site built with pkgdown 2.0.2.

-
-
+
- - + + diff --git a/docs/reference/logistic.solution-1.png b/docs/reference/logistic.solution-1.png index 84d8e722..73dad0a4 100644 Binary files a/docs/reference/logistic.solution-1.png and b/docs/reference/logistic.solution-1.png differ diff --git a/docs/reference/logistic.solution-2.png b/docs/reference/logistic.solution-2.png index 73e6436d..8d2514a3 100644 Binary files a/docs/reference/logistic.solution-2.png and b/docs/reference/logistic.solution-2.png differ diff --git a/docs/reference/logistic.solution.html b/docs/reference/logistic.solution.html index d11e1b3c..5c3c2b42 100644 --- a/docs/reference/logistic.solution.html +++ b/docs/reference/logistic.solution.html @@ -1,68 +1,13 @@ - - - - - - - -Logistic kinetics — logistic.solution • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Logistic kinetics — logistic.solution • mkin - - - - + + -
-
- -
- -
+

Logistic kinetics

- Source: R/parent_solutions.R + Source: R/parent_solutions.R
@@ -149,136 +88,132 @@ an increasing rate constant, supposedly caused by microbial growth" /> an increasing rate constant, supposedly caused by microbial growth

- 
logistic.solution(t, parent_0, kmax, k0, r)
- -

Arguments

- - - - - - - - - - - - - - - - - - - - - - -
t

Time.

parent_0

Starting value for the response variable at time zero.

kmax

Maximum rate constant.

k0

Minimum rate constant effective at time zero.

r

Growth rate of the increase in the rate constant.

- -

Value

+
+ 
logistic.solution(t, parent_0, kmax, k0, r)
+
+
+

Arguments

+
t
+

Time.

+
parent_0
+

Starting value for the response variable at time zero.

+
kmax
+

Maximum rate constant.

+
k0
+

Minimum rate constant effective at time zero.

+
r
+

Growth rate of the increase in the rate constant.

+
+
+

Value

The value of the response variable at time t.

-

Note

- +
+
+

Note

The solution of the logistic model reduces to the -SFO.solution if k0 is equal to kmax.

-

References

- -

FOCUS (2006) “Guidance Document on Estimating Persistence +SFO.solution if k0 is equal to kmax.

+
+
+

References

+

FOCUS (2006) “Guidance Document on Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in -EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, +EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, EC Document Reference Sanco/10058/2005 version 2.0, 434 pp, -http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics -FOCUS (2014) “Generic guidance for Estimating Persistence +http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics +FOCUS (2014) “Generic guidance for Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in -EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, +EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, Version 1.1, 18 December 2014 -http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

-

See also

- -

Other parent solutions: -DFOP.solution(), -FOMC.solution(), -HS.solution(), -IORE.solution(), -SFO.solution(), -SFORB.solution()

- -

Examples

- 

-  # Reproduce the plot on page 57 of FOCUS (2014)
-  plot(function(x) logistic.solution(x, 100, 0.08, 0.0001, 0.2),
-       from = 0, to = 100, ylim = c(0, 100),
-       xlab = "Time", ylab = "Residue")
-
  plot(function(x) logistic.solution(x, 100, 0.08, 0.0001, 0.4),
-       from = 0, to = 100, add = TRUE, lty = 2, col = 2)
-
  plot(function(x) logistic.solution(x, 100, 0.08, 0.0001, 0.8),
-       from = 0, to = 100, add = TRUE, lty = 3, col = 3)
-
  plot(function(x) logistic.solution(x, 100, 0.08, 0.001, 0.2),
-       from = 0, to = 100, add = TRUE, lty = 4, col = 4)
-
  plot(function(x) logistic.solution(x, 100, 0.08, 0.08, 0.2),
-       from = 0, to = 100, add = TRUE, lty = 5, col = 5)
-
  legend("topright", inset = 0.05,
-         legend = paste0("k0 = ", c(0.0001, 0.0001, 0.0001, 0.001, 0.08),
-                         ", r = ", c(0.2, 0.4, 0.8, 0.2, 0.2)),
-         lty = 1:5, col = 1:5)
-

-  # Fit with synthetic data
-  logistic <- mkinmod(parent = mkinsub("logistic"))
-
-  sampling_times = c(0, 1, 3, 7, 14, 28, 60, 90, 120)
-  parms_logistic <- c(kmax = 0.08, k0 = 0.0001, r = 0.2)
-  d_logistic <- mkinpredict(logistic,
-    parms_logistic, c(parent = 100),
-    sampling_times)
-  d_2_1 <- add_err(d_logistic,
-    sdfunc = function(x) sigma_twocomp(x, 0.5, 0.07),
-    n = 1, reps = 2, digits = 5, LOD = 0.1, seed = 123456)[[1]]
+http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

+    

+    

+    
See also

+    
Other parent solutions: 
+DFOP.solution(),
+FOMC.solution(),
+HS.solution(),
+IORE.solution(),
+SFO.solution(),
+SFORB.solution()

+    

 
-  m <- mkinfit("logistic", d_2_1, quiet = TRUE)
-  plot_sep(m)
-
summary(m)$bpar -
#> Estimate se_notrans t value Pr(>t) Lower -#> parent_0 1.057896e+02 1.9023449590 55.610120 3.768360e-16 1.016451e+02 -#> kmax 6.398190e-02 0.0143201029 4.467978 3.841828e-04 3.929235e-02 -#> k0 1.612775e-04 0.0005866813 0.274898 3.940351e-01 5.846688e-08 -#> r 2.263946e-01 0.1718110662 1.317695 1.061043e-01 4.335843e-02 -#> sigma 5.332935e+00 0.9145907310 5.830952 4.036926e-05 3.340213e+00 -#> Upper -#> parent_0 109.9341588 -#> kmax 0.1041853 -#> k0 0.4448749 -#> r 1.1821120 -#> sigma 7.3256566
endpoints(m)$distimes -
#> DT50 DT90 DT50_k0 DT50_kmax -#> parent 36.86533 62.41511 4297.853 10.83349
-
+
+

Examples

+ 

+  # Reproduce the plot on page 57 of FOCUS (2014)
+  plot(function(x) logistic.solution(x, 100, 0.08, 0.0001, 0.2),
+       from = 0, to = 100, ylim = c(0, 100),
+       xlab = "Time", ylab = "Residue")
+  plot(function(x) logistic.solution(x, 100, 0.08, 0.0001, 0.4),
+       from = 0, to = 100, add = TRUE, lty = 2, col = 2)
+  plot(function(x) logistic.solution(x, 100, 0.08, 0.0001, 0.8),
+       from = 0, to = 100, add = TRUE, lty = 3, col = 3)
+  plot(function(x) logistic.solution(x, 100, 0.08, 0.001, 0.2),
+       from = 0, to = 100, add = TRUE, lty = 4, col = 4)
+  plot(function(x) logistic.solution(x, 100, 0.08, 0.08, 0.2),
+       from = 0, to = 100, add = TRUE, lty = 5, col = 5)
+  legend("topright", inset = 0.05,
+         legend = paste0("k0 = ", c(0.0001, 0.0001, 0.0001, 0.001, 0.08),
+                         ", r = ", c(0.2, 0.4, 0.8, 0.2, 0.2)),
+         lty = 1:5, col = 1:5)
+
+
+  # Fit with synthetic data
+  logistic <- mkinmod(parent = mkinsub("logistic"))
+
+  sampling_times = c(0, 1, 3, 7, 14, 28, 60, 90, 120)
+  parms_logistic <- c(kmax = 0.08, k0 = 0.0001, r = 0.2)
+  d_logistic <- mkinpredict(logistic,
+    parms_logistic, c(parent = 100),
+    sampling_times)
+  d_2_1 <- add_err(d_logistic,
+    sdfunc = function(x) sigma_twocomp(x, 0.5, 0.07),
+    n = 1, reps = 2, digits = 5, LOD = 0.1, seed = 123456)[[1]]
+
+  m <- mkinfit("logistic", d_2_1, quiet = TRUE)
+  plot_sep(m)
+
+  summary(m)$bpar
+#>              Estimate   se_notrans   t value       Pr(>t)        Lower
+#> parent_0 1.057896e+02 1.9023449590 55.610120 3.768360e-16 1.016451e+02
+#> kmax     6.398190e-02 0.0143201029  4.467978 3.841828e-04 3.929235e-02
+#> k0       1.612775e-04 0.0005866813  0.274898 3.940351e-01 5.846688e-08
+#> r        2.263946e-01 0.1718110662  1.317695 1.061043e-01 4.335843e-02
+#> sigma    5.332935e+00 0.9145907310  5.830952 4.036926e-05 3.340213e+00
+#>                Upper
+#> parent_0 109.9341588
+#> kmax       0.1041853
+#> k0         0.4448749
+#> r          1.1821120
+#> sigma      7.3256566
+  endpoints(m)$distimes
+#>            DT50     DT90  DT50_k0 DT50_kmax
+#> parent 36.86533 62.41511 4297.853  10.83349
+
+
+
+
- - - + + diff --git a/docs/reference/lrtest.mkinfit.html b/docs/reference/lrtest.mkinfit.html index d670fb0c..d4355c43 100644 --- a/docs/reference/lrtest.mkinfit.html +++ b/docs/reference/lrtest.mkinfit.html @@ -1,71 +1,16 @@ - - - - - - - -Likelihood ratio test for mkinfit models — lrtest.mkinfit • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Likelihood ratio test for mkinfit models — lrtest.mkinfit • mkin - - - - - - - - - - - + + - - -
-
- -
- -
+

Likelihood ratio test for mkinfit models

- Source: R/lrtest.mkinfit.R + Source: R/lrtest.mkinfit.R
@@ -155,115 +94,112 @@ that the models are nested, i.e. one of them has less degrees of freedom and can be expressed by fixing the parameters of the other.

- 
# S3 method for mkinfit
-lrtest(object, object_2 = NULL, ...)
-
-# S3 method for mmkin
-lrtest(object, ...)
- -

Arguments

- - - - - - - - - - - - - - -
object

An mkinfit object, or an mmkin column -object containing two fits to the same data.

object_2

Optionally, another mkinfit object fitted to the same data.

...

Argument to mkinfit, passed to -update.mkinfit for creating the alternative fitted object.

+
+ 
# S3 method for mkinfit
+lrtest(object, object_2 = NULL, ...)
 
-    
Details

+# S3 method for mmkin
+lrtest(object, ...)
+
+
+

Arguments

+
object
+

An mkinfit object, or an mmkin column +object containing two fits to the same data.

+
object_2
+

Optionally, another mkinfit object fitted to the same data.

+
...
+

Argument to mkinfit, passed to +update.mkinfit for creating the alternative fitted object.

+
+
+

Details

Alternatively, an argument to mkinfit can be given which is then passed -to update.mkinfit to obtain the alternative model.

-

The comparison is then made by the lrtest.default +to update.mkinfit to obtain the alternative model.

+

The comparison is then made by the lrtest.default method from the lmtest package. The model with the higher number of fitted parameters (alternative hypothesis) is listed first, then the model with the lower number of fitted parameters (null hypothesis).

+
-

Examples

- 
# \dontrun{
-test_data <- subset(synthetic_data_for_UBA_2014[[12]]$data, name == "parent")
-sfo_fit <- mkinfit("SFO", test_data, quiet = TRUE)
-dfop_fit <- mkinfit("DFOP", test_data, quiet = TRUE)
-lrtest(dfop_fit, sfo_fit)
-
#> Likelihood ratio test
-#> 
-#> Model 1: DFOP with error model const
-#> Model 2: SFO with error model const
-#>   #Df  LogLik Df  Chisq Pr(>Chisq)    
-#> 1   5 -42.453                         
-#> 2   3 -63.954 -2 43.002  4.594e-10 ***
-#> ---
-#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
lrtest(sfo_fit, dfop_fit)
-
#> Likelihood ratio test
-#> 
-#> Model 1: DFOP with error model const
-#> Model 2: SFO with error model const
-#>   #Df  LogLik Df  Chisq Pr(>Chisq)    
-#> 1   5 -42.453                         
-#> 2   3 -63.954 -2 43.002  4.594e-10 ***
-#> ---
-#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

-# The following two examples are commented out as they fail during
-# generation of the static help pages by pkgdown
-#lrtest(dfop_fit, error_model = "tc")
-#lrtest(dfop_fit, fixed_parms = c(k2 = 0))
-
-# However, this equivalent syntax also works for static help pages
-lrtest(dfop_fit, update(dfop_fit, error_model = "tc"))
-
#> Likelihood ratio test
-#> 
-#> Model 1: DFOP with error model tc
-#> Model 2: DFOP with error model const
-#>   #Df  LogLik Df  Chisq Pr(>Chisq)    
-#> 1   6 -34.587                         
-#> 2   5 -42.453 -1 15.731  7.302e-05 ***
-#> ---
-#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
lrtest(dfop_fit, update(dfop_fit, fixed_parms = c(k2 = 0)))
-
#> Likelihood ratio test
-#> 
-#> Model 1: DFOP with error model const
-#> Model 2: DFOP with error model const and fixed parameter(s) k2
-#>   #Df  LogLik Df  Chisq Pr(>Chisq)    
-#> 1   5 -42.453                         
-#> 2   4 -57.340 -1 29.776  4.851e-08 ***
-#> ---
-#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
# }
-
+
+

Examples

+ 
# \dontrun{
+test_data <- subset(synthetic_data_for_UBA_2014[[12]]$data, name == "parent")
+sfo_fit <- mkinfit("SFO", test_data, quiet = TRUE)
+dfop_fit <- mkinfit("DFOP", test_data, quiet = TRUE)
+lrtest(dfop_fit, sfo_fit)
+#> Likelihood ratio test
+#> 
+#> Model 1: DFOP with error model const
+#> Model 2: SFO with error model const
+#>   #Df  LogLik Df  Chisq Pr(>Chisq)    
+#> 1   5 -42.453                         
+#> 2   3 -63.954 -2 43.002  4.594e-10 ***
+#> ---
+#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
+lrtest(sfo_fit, dfop_fit)
+#> Likelihood ratio test
+#> 
+#> Model 1: DFOP with error model const
+#> Model 2: SFO with error model const
+#>   #Df  LogLik Df  Chisq Pr(>Chisq)    
+#> 1   5 -42.453                         
+#> 2   3 -63.954 -2 43.002  4.594e-10 ***
+#> ---
+#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
+
+# The following two examples are commented out as they fail during
+# generation of the static help pages by pkgdown
+#lrtest(dfop_fit, error_model = "tc")
+#lrtest(dfop_fit, fixed_parms = c(k2 = 0))
+
+# However, this equivalent syntax also works for static help pages
+lrtest(dfop_fit, update(dfop_fit, error_model = "tc"))
+#> Likelihood ratio test
+#> 
+#> Model 1: DFOP with error model tc
+#> Model 2: DFOP with error model const
+#>   #Df  LogLik Df  Chisq Pr(>Chisq)    
+#> 1   6 -34.587                         
+#> 2   5 -42.453 -1 15.731  7.302e-05 ***
+#> ---
+#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
+lrtest(dfop_fit, update(dfop_fit, fixed_parms = c(k2 = 0)))
+#> Likelihood ratio test
+#> 
+#> Model 1: DFOP with error model const
+#> Model 2: DFOP with error model const and fixed parameter(s) k2
+#>   #Df  LogLik Df  Chisq Pr(>Chisq)    
+#> 1   5 -42.453                         
+#> 2   4 -57.340 -1 29.776  4.851e-08 ***
+#> ---
+#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
+# }
+
+
+
- - - + + diff --git a/docs/reference/max_twa_parent.html b/docs/reference/max_twa_parent.html index 4d473893..03b0263d 100644 --- a/docs/reference/max_twa_parent.html +++ b/docs/reference/max_twa_parent.html @@ -1,73 +1,18 @@ - - - - - - - -Function to calculate maximum time weighted average concentrations from -kinetic models fitted with mkinfit — max_twa_parent • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Function to calculate maximum time weighted average concentrations from +kinetic models fitted with mkinfit — max_twa_parent • mkin - - - - - - - - - - + + - - - -
-
- -
- -
+

Function to calculate maximum time weighted average concentrations from kinetic models fitted with mkinfit

- Source: R/max_twa_parent.R + Source: R/max_twa_parent.R

This function calculates maximum moving window time weighted average -concentrations (TWAs) for kinetic models fitted with mkinfit. +concentrations (TWAs) for kinetic models fitted with mkinfit. Currently, only calculations for the parent are implemented for the SFO, FOMC, DFOP and HS models, using the analytical formulas given in the PEC soil section of the FOCUS guidance.

- 
max_twa_parent(fit, windows)
+    

+    
max_twa_parent(fit, windows)
 
-max_twa_sfo(M0 = 1, k, t)
+max_twa_sfo(M0 = 1, k, t)
 
-max_twa_fomc(M0 = 1, alpha, beta, t)
+max_twa_fomc(M0 = 1, alpha, beta, t)
 
-max_twa_dfop(M0 = 1, k1, k2, g, t)
+max_twa_dfop(M0 = 1, k1, k2, g, t)
 
-max_twa_hs(M0 = 1, k1, k2, tb, t)

+max_twa_hs(M0 = 1, k1, k2, tb, t)
+
-

Arguments

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
fit

An object of class mkinfit.

windows

The width of the time windows for which the TWAs should be -calculated.

M0

The initial concentration for which the maximum time weighted +

+

Arguments

+
fit
+

An object of class mkinfit.

+
windows
+

The width of the time windows for which the TWAs should be +calculated.

+
M0
+

The initial concentration for which the maximum time weighted average over the decline curve should be calculated. The default is to use a value of 1, which means that a relative maximum time weighted average -factor (f_twa) is calculated.

k

The rate constant in the case of SFO kinetics.

t

The width of the time window.

alpha

Parameter of the FOMC model.

beta

Parameter of the FOMC model.

k1

The first rate constant of the DFOP or the HS kinetics.

k2

The second rate constant of the DFOP or the HS kinetics.

g

Parameter of the DFOP model.

tb

Parameter of the HS model.

- -

Value

- +factor (f_twa) is calculated.

+
k
+

The rate constant in the case of SFO kinetics.

+
t
+

The width of the time window.

+
alpha
+

Parameter of the FOMC model.

+
beta
+

Parameter of the FOMC model.

+
k1
+

The first rate constant of the DFOP or the HS kinetics.

+
k2
+

The second rate constant of the DFOP or the HS kinetics.

+
g
+

Parameter of the DFOP model.

+
tb
+

Parameter of the HS model.

+
+
+

Value

For max_twa_parent, a numeric vector, named using the windows argument. For the other functions, a numeric vector of length one (also known as 'a number').

-

References

- -

FOCUS (2006) “Guidance Document on Estimating Persistence +

+
+

References

+

FOCUS (2006) “Guidance Document on Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in -EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, +EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, EC Document Reference Sanco/10058/2005 version 2.0, 434 pp, -http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

-

Author

- +http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

+
+
+

Author

Johannes Ranke

+
-

Examples

- 

-  fit <- mkinfit("FOMC", FOCUS_2006_C, quiet = TRUE)
-  max_twa_parent(fit, c(7, 21))
-
#>        7       21 
-#> 34.71343 18.22124 

-
+
+

Examples

+ 

+  fit <- mkinfit("FOMC", FOCUS_2006_C, quiet = TRUE)
+  max_twa_parent(fit, c(7, 21))
+#>        7       21 
+#> 34.71343 18.22124 
+
+
+
+ - - - + + diff --git a/docs/reference/mccall81_245T-1.png b/docs/reference/mccall81_245T-1.png index 478462ae..79c45fe6 100644 Binary files a/docs/reference/mccall81_245T-1.png and b/docs/reference/mccall81_245T-1.png differ diff --git a/docs/reference/mccall81_245T.html b/docs/reference/mccall81_245T.html index 4f8d3fa0..94cd1450 100644 --- a/docs/reference/mccall81_245T.html +++ b/docs/reference/mccall81_245T.html @@ -1,69 +1,14 @@ - - - - - - - -Datasets on aerobic soil metabolism of 2,4,5-T in six soils — mccall81_245T • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Datasets on aerobic soil metabolism of 2,4,5-T in six soils — mccall81_245T • mkin - - - - - - - - - - - - - + + -
-
- -
- -
+

Datasets on aerobic soil metabolism of 2,4,5-T in six soils

@@ -151,120 +90,133 @@ extracts.

- 
mccall81_245T
- - -

Format

+
+ 
mccall81_245T
+
-

A dataframe containing the following variables.

-
name

the name of the compound observed. Note that T245 is used as +

+

Format

+

A dataframe containing the following variables.

name
+

the name of the compound observed. Note that T245 is used as an acronym for 2,4,5-T. T245 is a legitimate object name in R, which is necessary for specifying models using - mkinmod.

-
time

a numeric vector containing sampling times in days after + mkinmod.

+ +
time
+

a numeric vector containing sampling times in days after treatment

-
value

a numeric vector containing concentrations in percent of applied radioactivity

-
soil

a factor containing the name of the soil

- -
-

Source

+
value
+

a numeric vector containing concentrations in percent of applied radioactivity

+ +
soil
+

a factor containing the name of the soil

+ +
+
+

Source

McCall P, Vrona SA, Kelley SS (1981) Fate of uniformly carbon-14 ring labelled 2,4,5-Trichlorophenoxyacetic acid and 2,4-dichlorophenoxyacetic acid. J Agric Chem 29, 100-107 - doi: 10.1021/jf00103a026

+ doi: 10.1021/jf00103a026

+
-

Examples

- 
  SFO_SFO_SFO <- mkinmod(T245 = list(type = "SFO", to = "phenol"),
-    phenol = list(type = "SFO", to = "anisole"),
-    anisole = list(type = "SFO"))
-
#> Temporary DLL for differentials generated and loaded
  # \dontrun{
-    fit.1 <- mkinfit(SFO_SFO_SFO, subset(mccall81_245T, soil == "Commerce"), quiet = TRUE)
-
#> Warning: Observations with value of zero were removed from the data
    summary(fit.1)$bpar
-
#>                         Estimate   se_notrans   t value       Pr(>t)
-#> T245_0              1.038550e+02 2.1847074945 47.537272 4.472189e-18
-#> k_T245              4.337042e-02 0.0018983965 22.845818 2.276911e-13
-#> k_phenol            4.050581e-01 0.2986993563  1.356073 9.756989e-02
-#> k_anisole           6.678742e-03 0.0008021439  8.326114 2.623177e-07
-#> f_T245_to_phenol    6.227599e-01 0.3985340558  1.562627 6.949413e-02
-#> f_phenol_to_anisole 1.000000e+00 0.6718439825  1.488441 7.867789e-02
-#> sigma               2.514628e+00 0.4907558883  5.123989 6.233157e-05
-#>                            Lower        Upper
-#> T245_0              99.246061385 1.084640e+02
-#> k_T245               0.039631621 4.746194e-02
-#> k_phenol             0.218013879 7.525762e-01
-#> k_anisole            0.005370739 8.305299e-03
-#> f_T245_to_phenol     0.547559081 6.924813e-01
-#> f_phenol_to_anisole  0.000000000 1.000000e+00
-#> sigma                1.706607296 3.322649e+00
    endpoints(fit.1)
-
#> $ff
-#>    T245_phenol      T245_sink phenol_anisole    phenol_sink 
-#>   6.227599e-01   3.772401e-01   1.000000e+00   3.773626e-10 
-#> 
-#> $distimes
-#>               DT50      DT90
-#> T245     15.982025  53.09114
-#> phenol    1.711229   5.68458
-#> anisole 103.784093 344.76329
-#> 
    # formation fraction from phenol to anisol is practically 1. As we cannot
-    # fix formation fractions when using the ilr transformation, we can turn of
-    # the sink in the model generation
-    SFO_SFO_SFO_2 <- mkinmod(T245 = list(type = "SFO", to = "phenol"),
-      phenol = list(type = "SFO", to = "anisole", sink = FALSE),
-      anisole = list(type = "SFO"))
-
#> Temporary DLL for differentials generated and loaded
    fit.2 <- mkinfit(SFO_SFO_SFO_2, subset(mccall81_245T, soil == "Commerce"),
-      quiet = TRUE)
-
#> Warning: Observations with value of zero were removed from the data
    summary(fit.2)$bpar
-
#>                      Estimate   se_notrans   t value       Pr(>t)        Lower
-#> T245_0           1.038550e+02 2.1623653066 48.028439 4.993108e-19 99.271020284
-#> k_T245           4.337042e-02 0.0018343666 23.643268 3.573556e-14  0.039650976
-#> k_phenol         4.050582e-01 0.1177237473  3.440752 1.679254e-03  0.218746587
-#> k_anisole        6.678742e-03 0.0006829745  9.778903 1.872894e-08  0.005377083
-#> f_T245_to_phenol 6.227599e-01 0.0342197875 18.198824 2.039411e-12  0.547975637
-#> sigma            2.514628e+00 0.3790944250  6.633250 2.875782e-06  1.710983655
-#>                         Upper
-#> T245_0           108.43904074
-#> k_T245             0.04743877
-#> k_phenol           0.75005585
-#> k_anisole          0.00829550
-#> f_T245_to_phenol   0.69212308
-#> sigma              3.31827222
    endpoints(fit.1)
-
#> $ff
-#>    T245_phenol      T245_sink phenol_anisole    phenol_sink 
-#>   6.227599e-01   3.772401e-01   1.000000e+00   3.773626e-10 
-#> 
-#> $distimes
-#>               DT50      DT90
-#> T245     15.982025  53.09114
-#> phenol    1.711229   5.68458
-#> anisole 103.784093 344.76329
-#> 
    plot_sep(fit.2)
-
  # }
-
+
+

Examples

+ 
  SFO_SFO_SFO <- mkinmod(T245 = list(type = "SFO", to = "phenol"),
+    phenol = list(type = "SFO", to = "anisole"),
+    anisole = list(type = "SFO"))
+#> Temporary DLL for differentials generated and loaded
+  # \dontrun{
+    fit.1 <- mkinfit(SFO_SFO_SFO, subset(mccall81_245T, soil == "Commerce"), quiet = TRUE)
+    summary(fit.1)$bpar
+#>                         Estimate   se_notrans   t value       Pr(>t)
+#> T245_0              1.038550e+02 2.1847074945 47.537272 4.472189e-18
+#> k_T245              4.337042e-02 0.0018983965 22.845818 2.276911e-13
+#> k_phenol            4.050581e-01 0.2986993563  1.356073 9.756989e-02
+#> k_anisole           6.678742e-03 0.0008021439  8.326114 2.623177e-07
+#> f_T245_to_phenol    6.227599e-01 0.3985340558  1.562627 6.949413e-02
+#> f_phenol_to_anisole 1.000000e+00 0.6718439825  1.488441 7.867789e-02
+#> sigma               2.514628e+00 0.4907558883  5.123989 6.233157e-05
+#>                            Lower        Upper
+#> T245_0              99.246061385 1.084640e+02
+#> k_T245               0.039631621 4.746194e-02
+#> k_phenol             0.218013879 7.525762e-01
+#> k_anisole            0.005370739 8.305299e-03
+#> f_T245_to_phenol     0.547559081 6.924813e-01
+#> f_phenol_to_anisole  0.000000000 1.000000e+00
+#> sigma                1.706607296 3.322649e+00
+    endpoints(fit.1)
+#> $ff
+#>    T245_phenol      T245_sink phenol_anisole    phenol_sink 
+#>   6.227599e-01   3.772401e-01   1.000000e+00   3.773626e-10 
+#> 
+#> $distimes
+#>               DT50      DT90
+#> T245     15.982025  53.09114
+#> phenol    1.711229   5.68458
+#> anisole 103.784093 344.76329
+#> 
+    # formation fraction from phenol to anisol is practically 1. As we cannot
+    # fix formation fractions when using the ilr transformation, we can turn of
+    # the sink in the model generation
+    SFO_SFO_SFO_2 <- mkinmod(T245 = list(type = "SFO", to = "phenol"),
+      phenol = list(type = "SFO", to = "anisole", sink = FALSE),
+      anisole = list(type = "SFO"))
+#> Temporary DLL for differentials generated and loaded
+    fit.2 <- mkinfit(SFO_SFO_SFO_2, subset(mccall81_245T, soil == "Commerce"),
+      quiet = TRUE)
+    summary(fit.2)$bpar
+#>                      Estimate   se_notrans   t value       Pr(>t)        Lower
+#> T245_0           1.038550e+02 2.1623653066 48.028439 4.993108e-19 99.271020284
+#> k_T245           4.337042e-02 0.0018343666 23.643268 3.573556e-14  0.039650976
+#> k_phenol         4.050582e-01 0.1177237473  3.440752 1.679254e-03  0.218746587
+#> k_anisole        6.678742e-03 0.0006829745  9.778903 1.872894e-08  0.005377083
+#> f_T245_to_phenol 6.227599e-01 0.0342197875 18.198824 2.039411e-12  0.547975637
+#> sigma            2.514628e+00 0.3790944250  6.633250 2.875782e-06  1.710983655
+#>                         Upper
+#> T245_0           108.43904074
+#> k_T245             0.04743877
+#> k_phenol           0.75005585
+#> k_anisole          0.00829550
+#> f_T245_to_phenol   0.69212308
+#> sigma              3.31827222
+    endpoints(fit.1)
+#> $ff
+#>    T245_phenol      T245_sink phenol_anisole    phenol_sink 
+#>   6.227599e-01   3.772401e-01   1.000000e+00   3.773626e-10 
+#> 
+#> $distimes
+#>               DT50      DT90
+#> T245     15.982025  53.09114
+#> phenol    1.711229   5.68458
+#> anisole 103.784093 344.76329
+#> 
+    plot_sep(fit.2)
+
+  # }
+
+
+
- - - + + diff --git a/docs/reference/mean_degparms.html b/docs/reference/mean_degparms.html new file mode 100644 index 00000000..c31e310c --- /dev/null +++ b/docs/reference/mean_degparms.html @@ -0,0 +1,138 @@ + +Calculate mean degradation parameters for an mmkin row object — mean_degparms • mkin + + +
+
+ + + +
+
+
+

Calculate mean degradation parameters for an mmkin row object

+ Source: R/mean_degparms.R + +
+ +
+

Calculate mean degradation parameters for an mmkin row object

+
+ +
+ 
mean_degparms(object, random = FALSE, test_log_parms = FALSE, conf.level = 0.6)
+
+ +
+

Arguments

+
object
+

An mmkin row object containing several fits of the same model to different datasets

+
random
+

Should a list with fixed and random effects be returned?

+
test_log_parms
+

If TRUE, log parameters are only considered in +the mean calculations if their untransformed counterparts (most likely +rate constants) pass the t-test for significant difference from zero.

+
conf.level
+

Possibility to adjust the required confidence level +for parameter that are tested if requested by 'test_log_parms'.

+
+
+

Value

+

If random is FALSE (default), a named vector containing mean values +of the fitted degradation model parameters. If random is TRUE, a list with +fixed and random effects, in the format required by the start argument of +nlme for the case of a single grouping variable ds.

+
+ +
+ +
+ + +
+

Developed by Johannes Ranke.

+
+ +
+

Site built with pkgdown 2.0.2.

+
+ +
+ + + + + + + + diff --git a/docs/reference/mixed-1.png b/docs/reference/mixed-1.png index 422ab6a0..54b81b70 100644 Binary files a/docs/reference/mixed-1.png and b/docs/reference/mixed-1.png differ diff --git a/docs/reference/mixed.html b/docs/reference/mixed.html index b3bf35bf..dc0d1681 100644 --- a/docs/reference/mixed.html +++ b/docs/reference/mixed.html @@ -1,67 +1,12 @@ - - - - - - - -Create a mixed effects model from an mmkin row object — mixed • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Create a mixed effects model from an mmkin row object — mixed • mkin - + + - - - -
-
- -
- -
+

Create a mixed effects model from an mmkin row object

- Source: R/mixed.mmkin.R + Source: R/mixed.mmkin.R
@@ -147,131 +86,126 @@

Create a mixed effects model from an mmkin row object

- 
mixed(object, ...)
-
-# S3 method for mmkin
-mixed(object, method = c("none"), ...)
-
-# S3 method for mixed.mmkin
-print(x, digits = max(3, getOption("digits") - 3), ...)
+
+ 
mixed(object, ...)
 
-    
Arguments

-    
-    
-    
-      
-      
-    
-    
-      
-      
-    
-    
-      
-      
-    
-    
-      
-      
-    
-    
-      
-      
-    
-    
object
An mmkin row object
...
Currently not used
method
The method to be used
x
A mixed.mmkin object to print
digits
Number of digits to use for printing.

+# S3 method for mmkin
+mixed(object, method = c("none"), ...)
 
+# S3 method for mixed.mmkin
+print(x, digits = max(3, getOption("digits") - 3), ...)
+
-

Examples

- 
sampling_times = c(0, 1, 3, 7, 14, 28, 60, 90, 120)
-n_biphasic <- 8
-err_1 = list(const = 1, prop = 0.07)
-
-DFOP_SFO <- mkinmod(
-  parent = mkinsub("DFOP", "m1"),
-  m1 = mkinsub("SFO"),
-  quiet = TRUE)
-
-set.seed(123456)
-log_sd <- 0.3
-syn_biphasic_parms <- as.matrix(data.frame(
-  k1 = rlnorm(n_biphasic, log(0.05), log_sd),
-  k2 = rlnorm(n_biphasic, log(0.01), log_sd),
-  g = plogis(rnorm(n_biphasic, 0, log_sd)),
-  f_parent_to_m1 = plogis(rnorm(n_biphasic, 0, log_sd)),
-  k_m1 = rlnorm(n_biphasic, log(0.002), log_sd)))
-
-ds_biphasic_mean <- lapply(1:n_biphasic,
-  function(i) {
-    mkinpredict(DFOP_SFO, syn_biphasic_parms[i, ],
-      c(parent = 100, m1 = 0), sampling_times)
-  }
-)
-
-set.seed(123456L)
-ds_biphasic <- lapply(ds_biphasic_mean, function(ds) {
-  add_err(ds,
-    sdfunc = function(value) sqrt(err_1$const^2 + value^2 * err_1$prop^2),
-    n = 1, secondary = "m1")[[1]]
-})
-
-# \dontrun{
-f_mmkin <- mmkin(list("DFOP-SFO" = DFOP_SFO), ds_biphasic, error_model = "tc", quiet = TRUE)
+    

+    
Arguments

+    
object

+
An mmkin row object

+
...

+
Currently not used

+
method

+
The method to be used

+
x

+
A mixed.mmkin object to print

+
digits

+
Number of digits to use for printing.

+

+    

+    
Value

+    
An object of class 'mixed.mmkin' which has the observed data in a
+single dataframe which is convenient for plotting

+    

 
-f_mixed <- mixed(f_mmkin)
-print(f_mixed)
-
#> Kinetic model fitted by nonlinear regression to each dataset
-#> Structural model:
-#> d_parent/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) * exp(-k2 *
-#>            time)) / (g * exp(-k1 * time) + (1 - g) * exp(-k2 * time)))
-#>            * parent
-#> d_m1/dt = + f_parent_to_m1 * ((k1 * g * exp(-k1 * time) + k2 * (1 - g)
-#>            * exp(-k2 * time)) / (g * exp(-k1 * time) + (1 - g) *
-#>            exp(-k2 * time))) * parent - k_m1 * m1
-#> 
-#> Data:
-#> 271 observations of 2 variable(s) grouped in 8 datasets
-#> 
-#> <mmkin> object
-#> Status of individual fits:
-#> 
-#>           dataset
-#> model      1  2  3  4  5  6  7  8 
-#>   DFOP-SFO OK OK OK OK OK OK OK OK
-#> 
-#> OK: No warnings
-#> 
-#> Mean fitted parameters:
-#>        parent_0        log_k_m1 f_parent_qlogis          log_k1          log_k2 
-#>      100.674757       -8.761916       -0.004347       -3.348812       -3.986853 
-#>        g_qlogis 
-#>       -0.087392 
plot(f_mixed)
-
# }
-
+
+

Examples

+ 
sampling_times = c(0, 1, 3, 7, 14, 28, 60, 90, 120)
+n_biphasic <- 8
+err_1 = list(const = 1, prop = 0.07)
+
+DFOP_SFO <- mkinmod(
+  parent = mkinsub("DFOP", "m1"),
+  m1 = mkinsub("SFO"),
+  quiet = TRUE)
+
+set.seed(123456)
+log_sd <- 0.3
+syn_biphasic_parms <- as.matrix(data.frame(
+  k1 = rlnorm(n_biphasic, log(0.05), log_sd),
+  k2 = rlnorm(n_biphasic, log(0.01), log_sd),
+  g = plogis(rnorm(n_biphasic, 0, log_sd)),
+  f_parent_to_m1 = plogis(rnorm(n_biphasic, 0, log_sd)),
+  k_m1 = rlnorm(n_biphasic, log(0.002), log_sd)))
+
+ds_biphasic_mean <- lapply(1:n_biphasic,
+  function(i) {
+    mkinpredict(DFOP_SFO, syn_biphasic_parms[i, ],
+      c(parent = 100, m1 = 0), sampling_times)
+  }
+)
+
+set.seed(123456L)
+ds_biphasic <- lapply(ds_biphasic_mean, function(ds) {
+  add_err(ds,
+    sdfunc = function(value) sqrt(err_1$const^2 + value^2 * err_1$prop^2),
+    n = 1, secondary = "m1")[[1]]
+})
+
+# \dontrun{
+f_mmkin <- mmkin(list("DFOP-SFO" = DFOP_SFO), ds_biphasic, error_model = "tc", quiet = TRUE)
+
+f_mixed <- mixed(f_mmkin)
+print(f_mixed)
+#> Kinetic model fitted by nonlinear regression to each dataset
+#> Structural model:
+#> d_parent/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) * exp(-k2 *
+#>            time)) / (g * exp(-k1 * time) + (1 - g) * exp(-k2 * time)))
+#>            * parent
+#> d_m1/dt = + f_parent_to_m1 * ((k1 * g * exp(-k1 * time) + k2 * (1 - g)
+#>            * exp(-k2 * time)) / (g * exp(-k1 * time) + (1 - g) *
+#>            exp(-k2 * time))) * parent - k_m1 * m1
+#> 
+#> Data:
+#> 271 observations of 2 variable(s) grouped in 8 datasets
+#> 
+#> <mmkin> object
+#> Status of individual fits:
+#> 
+#>           dataset
+#> model      1  2  3  4  5  6  7  8 
+#>   DFOP-SFO OK OK OK OK OK OK OK OK
+#> 
+#> OK: No warnings
+#> 
+#> Mean fitted parameters:
+#>        parent_0        log_k_m1 f_parent_qlogis          log_k1          log_k2 
+#>      100.674757       -8.761916       -0.004347       -3.348812       -3.986853 
+#>        g_qlogis 
+#>       -0.087392 
+plot(f_mixed)
+
+# }
+
+
+
- - - + + diff --git a/docs/reference/mkin_long_to_wide.html b/docs/reference/mkin_long_to_wide.html index c82da5dd..be37f095 100644 --- a/docs/reference/mkin_long_to_wide.html +++ b/docs/reference/mkin_long_to_wide.html @@ -1,69 +1,14 @@ - - - - - - - -Convert a dataframe from long to wide format — mkin_long_to_wide • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Convert a dataframe from long to wide format — mkin_long_to_wide • mkin - - - - - - - - - - - + + - - -
-
- -
- -
+

Convert a dataframe from long to wide format

- Source: R/mkin_long_to_wide.R + Source: R/mkin_long_to_wide.R
@@ -151,87 +90,82 @@ observed value, and converts it into a dataframe with one independent variable and several dependent variables as columns.

- 
mkin_long_to_wide(long_data, time = "time", outtime = "time")
+
+ 
mkin_long_to_wide(long_data, time = "time", outtime = "time")
+
-

Arguments

- - - - - - - - - - - - - - -
long_data

The dataframe must contain one variable called "time" with +

+

Arguments

+
long_data
+

The dataframe must contain one variable called "time" with the time values specified by the time argument, one column called "name" with the grouping of the observed values, and finally one column of -observed values called "value".

time

The name of the time variable in the long input data.

outtime

The name of the time variable in the wide output data.

- -

Value

- +observed values called "value".

+
time
+

The name of the time variable in the long input data.

+
outtime
+

The name of the time variable in the wide output data.

+
+
+

Value

Dataframe in wide format.

-

Author

- +
+
+

Author

Johannes Ranke

+
-

Examples

- 

-mkin_long_to_wide(FOCUS_2006_D)
-
#>    time parent    m1
-#> 1     0  99.46  0.00
-#> 2     0 102.04  0.00
-#> 3     1  93.50  4.84
-#> 4     1  92.50  5.64
-#> 5     3  63.23 12.91
-#> 6     3  68.99 12.96
-#> 7     7  52.32 22.97
-#> 8     7  55.13 24.47
-#> 9    14  27.27 41.69
-#> 10   14  26.64 33.21
-#> 11   21  11.50 44.37
-#> 12   21  11.64 46.44
-#> 13   35   2.85 41.22
-#> 14   35   2.91 37.95
-#> 15   50   0.69 41.19
-#> 16   50   0.63 40.01
-#> 17   75   0.05 40.09
-#> 18   75   0.06 33.85
-#> 19  100     NA 31.04
-#> 20  100     NA 33.13
-#> 21  120     NA 25.15
-#> 22  120     NA 33.31

-
+
+

Examples

+ 

+mkin_long_to_wide(FOCUS_2006_D)
+#>    time parent    m1
+#> 1     0  99.46  0.00
+#> 2     0 102.04  0.00
+#> 3     1  93.50  4.84
+#> 4     1  92.50  5.64
+#> 5     3  63.23 12.91
+#> 6     3  68.99 12.96
+#> 7     7  52.32 22.97
+#> 8     7  55.13 24.47
+#> 9    14  27.27 41.69
+#> 10   14  26.64 33.21
+#> 11   21  11.50 44.37
+#> 12   21  11.64 46.44
+#> 13   35   2.85 41.22
+#> 14   35   2.91 37.95
+#> 15   50   0.69 41.19
+#> 16   50   0.63 40.01
+#> 17   75   0.05 40.09
+#> 18   75   0.06 33.85
+#> 19  100     NA 31.04
+#> 20  100     NA 33.13
+#> 21  120     NA 25.15
+#> 22  120     NA 33.31
+
+
+
+
- - - + + diff --git a/docs/reference/mkin_wide_to_long.html b/docs/reference/mkin_wide_to_long.html index 15619fba..06bea7e7 100644 --- a/docs/reference/mkin_wide_to_long.html +++ b/docs/reference/mkin_wide_to_long.html @@ -1,69 +1,14 @@ - - - - - - - -Convert a dataframe with observations over time into long format — mkin_wide_to_long • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Convert a dataframe with observations over time into long format — mkin_wide_to_long • mkin - - - - - - - - - + + - - - - -
-
- -
- -
+

Convert a dataframe with observations over time into long format

- Source: R/mkin_wide_to_long.R + Source: R/mkin_wide_to_long.R

This function simply takes a dataframe with one independent variable and several dependent variable and converts it into the long form as required by -mkinfit.

+mkinfit.

- 
mkin_wide_to_long(wide_data, time = "t")
+
+ 
mkin_wide_to_long(wide_data, time = "t")
+
-

Arguments

- - - - - - - - - - -
wide_data

The dataframe must contain one variable with the time +

+

Arguments

+
wide_data
+

The dataframe must contain one variable with the time values specified by the time argument and usually more than one -column of observed values.

time

The name of the time variable.

- -

Value

- -

Dataframe in long format as needed for mkinfit.

-

Author

- +column of observed values.

+
time
+

The name of the time variable.

+
+
+

Value

+

Dataframe in long format as needed for mkinfit.

+
+
+

Author

Johannes Ranke

+
-

Examples

- 

-wide <- data.frame(t = c(1,2,3), x = c(1,4,7), y = c(3,4,5))
-mkin_wide_to_long(wide)
-
#>   name time value
-#> 1    x    1     1
-#> 2    x    2     4
-#> 3    x    3     7
-#> 4    y    1     3
-#> 5    y    2     4
-#> 6    y    3     5

-
+
+

Examples

+ 

+wide <- data.frame(t = c(1,2,3), x = c(1,4,7), y = c(3,4,5))
+mkin_wide_to_long(wide)
+#>   name time value
+#> 1    x    1     1
+#> 2    x    2     4
+#> 3    x    3     7
+#> 4    y    1     3
+#> 5    y    2     4
+#> 6    y    3     5
+
+
+
+
- - - + + diff --git a/docs/reference/mkinds.html b/docs/reference/mkinds.html index fe89012c..25edbf38 100644 --- a/docs/reference/mkinds.html +++ b/docs/reference/mkinds.html @@ -1,70 +1,15 @@ - - - - - - - -A dataset class for mkin — mkinds • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -A dataset class for mkin — mkinds • mkin - - - - - - - - - - - - - + + -
-
- -
- -
+

A dataset class for mkin

- Source: R/mkinds.R + Source: R/mkinds.R
@@ -153,118 +92,143 @@ such as the on contained in the data field of mkinds objects. Some datasets provided by this package come as mkinds objects nevertheless.

- 
# S3 method for mkinds
-print(x, data = FALSE, ...)
+
+ 
# S3 method for mkinds
+print(x, data = FALSE, ...)
+
+ +
+

Arguments

+
x
+

An mkinds object.

+
data
+

Should the data be printed?

+
...
+

Not used.

+
+
+

Public fields

+

title
+

A full title for the dataset

-

Arguments

- - - - - - - - - - - - - - -
x

An mkinds object.

data

Should the data be printed?

...

Not used.

-

Public fields

+
sampling_times
+

The sampling times

-

-
title

A full title for the dataset

-
sampling_times

The sampling times

+
time_unit
+

The time unit

-
time_unit

The time unit

-
observed

Names of the observed variables

+
observed
+

Names of the observed variables

-
unit

The unit of the observations

-
replicates

The maximum number of replicates per sampling time

+
unit
+

The unit of the observations

-
data

A data frame with at least the columns name, time + +

replicates
+

The maximum number of replicates per sampling time

+ + +
data
+

A data frame with at least the columns name, time and value in order to be compatible with mkinfit

-

-

Methods

+

+
+
+

Methods

-

Public methods

+
+

Public methods

+ +

+

Method new()

+

Create a new mkinds object

+

Usage

+

mkinds$new(title = "", data, time_unit = NA, unit = NA)

+
+ +
+

Arguments

+

title
+

The dataset title

- -

-

Method new()

-

Create a new mkinds object

Usage

-

mkinds$new(title = "", data, time_unit = NA, unit = NA)

-

Arguments

-

-
title

The dataset title

+
data
+

The data

-
data

The data

-
time_unit

The time unit

+
time_unit
+

The time unit

-
unit

The unit of the observations

-

-

-

Method clone()

-

The objects of this class are cloneable with this method.

Usage

-

mkinds$clone(deep = FALSE)

+
unit
+

The unit of the observations

-

Arguments

-

-
deep

Whether to make a deep clone.

-

+

+
+ +

+

Method clone()

+

The objects of this class are cloneable with this method.

+

Usage

+

mkinds$clone(deep = FALSE)

+
+ +
+

Arguments

+

deep
+

Whether to make a deep clone.

+ + +

+
+
+
-

Examples

- 

-mds <- mkinds$new("FOCUS A", FOCUS_2006_A)
-print(mds)
-
#> <mkinds> with $title:  FOCUS A 
-#> Observed compounds $observed:  parent 
-#> Sampling times $sampling_times:
-#> 0, 3, 7, 14, 30, 62, 90, 118 
-#> With a maximum of  1  replicates

-
+
+

Examples

+ 

+mds <- mkinds$new("FOCUS A", FOCUS_2006_A)
+print(mds)
+#> <mkinds> with $title:  FOCUS A 
+#> Observed compounds $observed:  parent 
+#> Sampling times $sampling_times:
+#> 0, 3, 7, 14, 30, 62, 90, 118 
+#> With a maximum of  1  replicates
+
+
+
+
- - - + + diff --git a/docs/reference/mkindsg.html b/docs/reference/mkindsg.html index a9686e4c..bae7488f 100644 --- a/docs/reference/mkindsg.html +++ b/docs/reference/mkindsg.html @@ -1,70 +1,15 @@ - - - - - - - -A class for dataset groups for mkin — mkindsg • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -A class for dataset groups for mkin — mkindsg • mkin - - - - - - - - - - - - - + + -
-
- -
- -
+

A class for dataset groups for mkin

- Source: R/mkinds.R + Source: R/mkinds.R
@@ -153,308 +92,329 @@ so that combined evaluations are desirable.

dataset if no data are supplied.

- 
# S3 method for mkindsg
-print(x, data = FALSE, verbose = data, ...)
- -

Arguments

- - - - - - - - - - - - - - - - - - -
x

An mkindsg object.

data

Should the mkinds objects be printed with their data?

verbose

Should the mkinds objects be printed?

...

Not used.

- -

Public fields

- -

-
title

A title for the dataset group

- -
ds

A list of mkinds objects

- -
observed_n

Occurrence counts of compounds in datasets

- -
f_time_norm

Time normalisation factors

- -
meta

A data frame with a row for each dataset, +

+ 
# S3 method for mkindsg
+print(x, data = FALSE, verbose = data, ...)
+
+ +
+

Arguments

+
x
+

An mkindsg object.

+
data
+

Should the mkinds objects be printed with their data?

+
verbose
+

Should the mkinds objects be printed?

+
...
+

Not used.

+
+
+

Public fields

+

title
+

A title for the dataset group

+ + +
ds
+

A list of mkinds objects

+ + +
observed_n
+

Occurrence counts of compounds in datasets

+ + +
f_time_norm
+

Time normalisation factors

+ + +
meta
+

A data frame with a row for each dataset, containing additional information in the form of categorical data (factors) or numerical data (e.g. temperature, moisture, or covariates like soil pH).

-

-

Methods

+

+
+
+

Methods

-

Public methods

- - -

-

Method new()

-

Create a new mkindsg object

Usage

-

mkindsg$new(title = "", ds, f_time_norm = rep(1, length(ds)), meta)

- -

Arguments

-

-
title

The title

- -
ds

A list of mkinds objects

- -
f_time_norm

Time normalisation factors

- -
meta

The meta data

- -

-

-

Method clone()

-

The objects of this class are cloneable with this method.

Usage

-

mkindsg$clone(deep = FALSE)

- -

Arguments

-

-
deep

Whether to make a deep clone.

- -

- - - -

Examples

- 

-mdsg <- mkindsg$new("Experimental X", experimental_data_for_UBA_2019[6:10])
-print(mdsg)
-
#> <mkindsg> holding 5 mkinds objects
-#> Title $title:  Experimental X 
-#> Occurrence of observed compounds $observed_n:
-#> parent     A1 
-#>      5      5 
print(mdsg, verbose = TRUE)
-
#> <mkindsg> holding 5 mkinds objects
-#> Title $title:  Experimental X 
-#> Occurrence of observed compounds $observed_n:
-#> parent     A1 
-#>      5      5 
-#> 
-#> Datasets $ds:
-#> <mkinds> with $title:  Soil 6 
-#> Observed compounds $observed:  parent, A1 
-#> Sampling times $sampling_times:
-#> 0, 3, 6, 10, 20, 34, 55, 90, 112, 132 
-#> With a maximum of  2  replicates
-#> Time unit:  days 
-#> Observation unit:  \%AR 
-#> 
-#> <mkinds> with $title:  Soil 7 
-#> Observed compounds $observed:  parent, A1 
-#> Sampling times $sampling_times:
-#> 0, 3, 7, 14, 30, 60, 90, 120, 180 
-#> With a maximum of  2  replicates
-#> Time unit:  days 
-#> Observation unit:  \%AR 
-#> 
-#> <mkinds> with $title:  Soil 8 
-#> Observed compounds $observed:  parent, A1 
-#> Sampling times $sampling_times:
-#> 0, 1, 3, 8, 14, 27, 48, 70 
-#> With a maximum of  2  replicates
-#> Time unit:  days 
-#> Observation unit:  \%AR 
-#> 
-#> <mkinds> with $title:  Soil 9 
-#> Observed compounds $observed:  parent, A1 
-#> Sampling times $sampling_times:
-#> 0, 1, 3, 8, 14, 27, 48, 70, 91, 120 
-#> With a maximum of  2  replicates
-#> Time unit:  days 
-#> Observation unit:  \%AR 
-#> 
-#> <mkinds> with $title:  Soil 10 
-#> Observed compounds $observed:  parent, A1 
-#> Sampling times $sampling_times:
-#> 0, 8, 14, 21, 41, 63, 91, 120 
-#> With a maximum of  2  replicates
-#> Time unit:  days 
-#> Observation unit:  \%AR 
print(mdsg, verbose = TRUE, data = TRUE)
-
#> <mkindsg> holding 5 mkinds objects
-#> Title $title:  Experimental X 
-#> Occurrence of observed compounds $observed_n:
-#> parent     A1 
-#>      5      5 
-#> 
-#> Datasets $ds:
-#> <mkinds> with $title:  Soil 6 
-#> Observed compounds $observed:  parent, A1 
-#> Sampling times $sampling_times:
-#> 0, 3, 6, 10, 20, 34, 55, 90, 112, 132 
-#> With a maximum of  2  replicates
-#> Time unit:  days 
-#> Observation unit:  \%AR 
-#>    time parent   A1
-#> 1     0   97.2   NA
-#> 2     0   96.4   NA
-#> 3     3   71.1  4.3
-#> 4     3   69.2  4.6
-#> 5     6   58.1  7.0
-#> 6     6   56.6  7.2
-#> 7    10   44.4  8.2
-#> 8    10   43.4  8.0
-#> 9    20   33.3 11.0
-#> 10   20   29.2 13.7
-#> 11   34   17.6 11.5
-#> 12   34   18.0 12.7
-#> 13   55   10.5 14.9
-#> 14   55    9.3 14.5
-#> 15   90    4.5 12.1
-#> 16   90    4.7 12.3
-#> 17  112    3.0  9.9
-#> 18  112    3.4 10.2
-#> 19  132    2.3  8.8
-#> 20  132    2.7  7.8
-#> 
-#> <mkinds> with $title:  Soil 7 
-#> Observed compounds $observed:  parent, A1 
-#> Sampling times $sampling_times:
-#> 0, 3, 7, 14, 30, 60, 90, 120, 180 
-#> With a maximum of  2  replicates
-#> Time unit:  days 
-#> Observation unit:  \%AR 
-#>    time parent   A1
-#> 1     0   93.6   NA
-#> 2     0   92.3   NA
-#> 3     3   87.0  3.9
-#> 4     3   82.2  3.1
-#> 5     7   74.0  6.9
-#> 6     7   73.9  6.6
-#> 7    14   64.2 10.4
-#> 8    14   69.5  8.3
-#> 9    30   54.0 14.4
-#> 10   30   54.6 13.7
-#> 11   60   41.1 22.1
-#> 12   60   38.4 22.3
-#> 13   90   32.5 27.5
-#> 14   90   35.5 25.4
-#> 15  120   28.1 28.0
-#> 16  120   29.0 26.6
-#> 17  180   26.5 25.8
-#> 18  180   27.6 25.3
-#> 
-#> <mkinds> with $title:  Soil 8 
-#> Observed compounds $observed:  parent, A1 
-#> Sampling times $sampling_times:
-#> 0, 1, 3, 8, 14, 27, 48, 70 
-#> With a maximum of  2  replicates
-#> Time unit:  days 
-#> Observation unit:  \%AR 
-#>    time parent   A1
-#> 1     0   91.9   NA
-#> 2     0   90.8   NA
-#> 3     1   64.9  9.6
-#> 4     1   66.2  7.7
-#> 5     3   43.5 15.0
-#> 6     3   44.1 15.1
-#> 7     8   18.3 21.2
-#> 8     8   18.1 21.1
-#> 9    14   10.2 19.7
-#> 10   14   10.8 18.9
-#> 11   27    4.9 17.5
-#> 12   27    3.3 15.9
-#> 13   48    1.6  9.5
-#> 14   48    1.5  9.8
-#> 15   70    1.1  6.2
-#> 16   70    0.9  6.1
-#> 
-#> <mkinds> with $title:  Soil 9 
-#> Observed compounds $observed:  parent, A1 
-#> Sampling times $sampling_times:
-#> 0, 1, 3, 8, 14, 27, 48, 70, 91, 120 
-#> With a maximum of  2  replicates
-#> Time unit:  days 
-#> Observation unit:  \%AR 
-#>    time parent   A1
-#> 1     0   99.8   NA
-#> 2     0   98.3   NA
-#> 3     1   77.1  4.2
-#> 4     1   77.2  3.9
-#> 5     3   59.0  7.4
-#> 6     3   58.1  7.9
-#> 7     8   27.4 14.5
-#> 8     8   29.2 13.7
-#> 9    14   19.1 14.2
-#> 10   14   29.6 12.2
-#> 11   27   10.1 13.7
-#> 12   27   18.2 13.2
-#> 13   48    4.5 13.6
-#> 14   48    9.1 15.4
-#> 15   70    2.3 10.4
-#> 16   70    2.9 11.6
-#> 17   91    2.0 10.0
-#> 18   91    1.8  9.5
-#> 19  120    2.0  9.1
-#> 20  120    2.2  9.0
-#> 
-#> <mkinds> with $title:  Soil 10 
-#> Observed compounds $observed:  parent, A1 
-#> Sampling times $sampling_times:
-#> 0, 8, 14, 21, 41, 63, 91, 120 
-#> With a maximum of  2  replicates
-#> Time unit:  days 
-#> Observation unit:  \%AR 
-#>    time parent   A1
-#> 1     0   96.1   NA
-#> 2     0   94.3   NA
-#> 3     8   73.9  3.3
-#> 4     8   73.9  3.4
-#> 5    14   69.4  3.9
-#> 6    14   73.1  2.9
-#> 7    21   65.6  6.4
-#> 8    21   65.3  7.2
-#> 9    41   55.9  9.1
-#> 10   41   54.4  8.5
-#> 11   63   47.0 11.7
-#> 12   63   49.3 12.0
-#> 13   91   44.7 13.3
-#> 14   91   46.7 13.2
-#> 15  120   42.1 14.3
-#> 16  120   41.3 12.1

-
+
+

Public methods

+ +

+

Method new()

+

Create a new mkindsg object

+

Usage

+

mkindsg$new(title = "", ds, f_time_norm = rep(1, length(ds)), meta)

+
+ +
+

Arguments

+

title
+

The title

+ + +
ds
+

A list of mkinds objects

+ + +
f_time_norm
+

Time normalisation factors

+ + +
meta
+

The meta data

+ + +

+
+ +

+

Method clone()

+

The objects of this class are cloneable with this method.

+

Usage

+

mkindsg$clone(deep = FALSE)

+
+ +
+

Arguments

+

deep
+

Whether to make a deep clone.

+ + +

+
+ +
+ +
+ +
+

Examples

+ 

+mdsg <- mkindsg$new("Experimental X", experimental_data_for_UBA_2019[6:10])
+print(mdsg)
+#> <mkindsg> holding 5 mkinds objects
+#> Title $title:  Experimental X 
+#> Occurrence of observed compounds $observed_n:
+#> parent     A1 
+#>      5      5 
+print(mdsg, verbose = TRUE)
+#> <mkindsg> holding 5 mkinds objects
+#> Title $title:  Experimental X 
+#> Occurrence of observed compounds $observed_n:
+#> parent     A1 
+#>      5      5 
+#> 
+#> Datasets $ds:
+#> <mkinds> with $title:  Soil 6 
+#> Observed compounds $observed:  parent, A1 
+#> Sampling times $sampling_times:
+#> 0, 3, 6, 10, 20, 34, 55, 90, 112, 132 
+#> With a maximum of  2  replicates
+#> Time unit:  days 
+#> Observation unit:  \%AR 
+#> 
+#> <mkinds> with $title:  Soil 7 
+#> Observed compounds $observed:  parent, A1 
+#> Sampling times $sampling_times:
+#> 0, 3, 7, 14, 30, 60, 90, 120, 180 
+#> With a maximum of  2  replicates
+#> Time unit:  days 
+#> Observation unit:  \%AR 
+#> 
+#> <mkinds> with $title:  Soil 8 
+#> Observed compounds $observed:  parent, A1 
+#> Sampling times $sampling_times:
+#> 0, 1, 3, 8, 14, 27, 48, 70 
+#> With a maximum of  2  replicates
+#> Time unit:  days 
+#> Observation unit:  \%AR 
+#> 
+#> <mkinds> with $title:  Soil 9 
+#> Observed compounds $observed:  parent, A1 
+#> Sampling times $sampling_times:
+#> 0, 1, 3, 8, 14, 27, 48, 70, 91, 120 
+#> With a maximum of  2  replicates
+#> Time unit:  days 
+#> Observation unit:  \%AR 
+#> 
+#> <mkinds> with $title:  Soil 10 
+#> Observed compounds $observed:  parent, A1 
+#> Sampling times $sampling_times:
+#> 0, 8, 14, 21, 41, 63, 91, 120 
+#> With a maximum of  2  replicates
+#> Time unit:  days 
+#> Observation unit:  \%AR 
+print(mdsg, verbose = TRUE, data = TRUE)
+#> <mkindsg> holding 5 mkinds objects
+#> Title $title:  Experimental X 
+#> Occurrence of observed compounds $observed_n:
+#> parent     A1 
+#>      5      5 
+#> 
+#> Datasets $ds:
+#> <mkinds> with $title:  Soil 6 
+#> Observed compounds $observed:  parent, A1 
+#> Sampling times $sampling_times:
+#> 0, 3, 6, 10, 20, 34, 55, 90, 112, 132 
+#> With a maximum of  2  replicates
+#> Time unit:  days 
+#> Observation unit:  \%AR 
+#>    time parent   A1
+#> 1     0   97.2   NA
+#> 2     0   96.4   NA
+#> 3     3   71.1  4.3
+#> 4     3   69.2  4.6
+#> 5     6   58.1  7.0
+#> 6     6   56.6  7.2
+#> 7    10   44.4  8.2
+#> 8    10   43.4  8.0
+#> 9    20   33.3 11.0
+#> 10   20   29.2 13.7
+#> 11   34   17.6 11.5
+#> 12   34   18.0 12.7
+#> 13   55   10.5 14.9
+#> 14   55    9.3 14.5
+#> 15   90    4.5 12.1
+#> 16   90    4.7 12.3
+#> 17  112    3.0  9.9
+#> 18  112    3.4 10.2
+#> 19  132    2.3  8.8
+#> 20  132    2.7  7.8
+#> 
+#> <mkinds> with $title:  Soil 7 
+#> Observed compounds $observed:  parent, A1 
+#> Sampling times $sampling_times:
+#> 0, 3, 7, 14, 30, 60, 90, 120, 180 
+#> With a maximum of  2  replicates
+#> Time unit:  days 
+#> Observation unit:  \%AR 
+#>    time parent   A1
+#> 1     0   93.6   NA
+#> 2     0   92.3   NA
+#> 3     3   87.0  3.9
+#> 4     3   82.2  3.1
+#> 5     7   74.0  6.9
+#> 6     7   73.9  6.6
+#> 7    14   64.2 10.4
+#> 8    14   69.5  8.3
+#> 9    30   54.0 14.4
+#> 10   30   54.6 13.7
+#> 11   60   41.1 22.1
+#> 12   60   38.4 22.3
+#> 13   90   32.5 27.5
+#> 14   90   35.5 25.4
+#> 15  120   28.1 28.0
+#> 16  120   29.0 26.6
+#> 17  180   26.5 25.8
+#> 18  180   27.6 25.3
+#> 
+#> <mkinds> with $title:  Soil 8 
+#> Observed compounds $observed:  parent, A1 
+#> Sampling times $sampling_times:
+#> 0, 1, 3, 8, 14, 27, 48, 70 
+#> With a maximum of  2  replicates
+#> Time unit:  days 
+#> Observation unit:  \%AR 
+#>    time parent   A1
+#> 1     0   91.9   NA
+#> 2     0   90.8   NA
+#> 3     1   64.9  9.6
+#> 4     1   66.2  7.7
+#> 5     3   43.5 15.0
+#> 6     3   44.1 15.1
+#> 7     8   18.3 21.2
+#> 8     8   18.1 21.1
+#> 9    14   10.2 19.7
+#> 10   14   10.8 18.9
+#> 11   27    4.9 17.5
+#> 12   27    3.3 15.9
+#> 13   48    1.6  9.5
+#> 14   48    1.5  9.8
+#> 15   70    1.1  6.2
+#> 16   70    0.9  6.1
+#> 
+#> <mkinds> with $title:  Soil 9 
+#> Observed compounds $observed:  parent, A1 
+#> Sampling times $sampling_times:
+#> 0, 1, 3, 8, 14, 27, 48, 70, 91, 120 
+#> With a maximum of  2  replicates
+#> Time unit:  days 
+#> Observation unit:  \%AR 
+#>    time parent   A1
+#> 1     0   99.8   NA
+#> 2     0   98.3   NA
+#> 3     1   77.1  4.2
+#> 4     1   77.2  3.9
+#> 5     3   59.0  7.4
+#> 6     3   58.1  7.9
+#> 7     8   27.4 14.5
+#> 8     8   29.2 13.7
+#> 9    14   19.1 14.2
+#> 10   14   29.6 12.2
+#> 11   27   10.1 13.7
+#> 12   27   18.2 13.2
+#> 13   48    4.5 13.6
+#> 14   48    9.1 15.4
+#> 15   70    2.3 10.4
+#> 16   70    2.9 11.6
+#> 17   91    2.0 10.0
+#> 18   91    1.8  9.5
+#> 19  120    2.0  9.1
+#> 20  120    2.2  9.0
+#> 
+#> <mkinds> with $title:  Soil 10 
+#> Observed compounds $observed:  parent, A1 
+#> Sampling times $sampling_times:
+#> 0, 8, 14, 21, 41, 63, 91, 120 
+#> With a maximum of  2  replicates
+#> Time unit:  days 
+#> Observation unit:  \%AR 
+#>    time parent   A1
+#> 1     0   96.1   NA
+#> 2     0   94.3   NA
+#> 3     8   73.9  3.3
+#> 4     8   73.9  3.4
+#> 5    14   69.4  3.9
+#> 6    14   73.1  2.9
+#> 7    21   65.6  6.4
+#> 8    21   65.3  7.2
+#> 9    41   55.9  9.1
+#> 10   41   54.4  8.5
+#> 11   63   47.0 11.7
+#> 12   63   49.3 12.0
+#> 13   91   44.7 13.3
+#> 14   91   46.7 13.2
+#> 15  120   42.1 14.3
+#> 16  120   41.3 12.1
+
+
+
+
- - - + + diff --git a/docs/reference/mkinerrmin.html b/docs/reference/mkinerrmin.html index f22b4350..b72017fe 100644 --- a/docs/reference/mkinerrmin.html +++ b/docs/reference/mkinerrmin.html @@ -1,68 +1,13 @@ - - - - - - - -Calculate the minimum error to assume in order to pass the variance test — mkinerrmin • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Calculate the minimum error to assume in order to pass the variance test — mkinerrmin • mkin - - + + - - -
-
- -
- -
+

Calculate the minimum error to assume in order to pass the variance test

- Source: R/mkinerrmin.R + Source: R/mkinerrmin.R
@@ -149,89 +88,94 @@ the chi-squared test as defined in the FOCUS kinetics report from 2006." /> the chi-squared test as defined in the FOCUS kinetics report from 2006.

- 
mkinerrmin(fit, alpha = 0.05)
- -

Arguments

- - - - - - - - - - -
fit

an object of class mkinfit.

alpha

The confidence level chosen for the chi-squared test.

- -

Value

+
+ 
mkinerrmin(fit, alpha = 0.05)
+
+
+

Arguments

+
fit
+

an object of class mkinfit.

+
alpha
+

The confidence level chosen for the chi-squared test.

+
+
+

Value

A dataframe with the following components:

-
err.min

The -relative error, expressed as a fraction.

n.optim

The number of -optimised parameters attributed to the data series.

df

The number of +

err.min
+

The +relative error, expressed as a fraction.

+
n.optim
+

The number of +optimised parameters attributed to the data series.

+
df
+

The number of remaining degrees of freedom for the chi2 error level calculations. Note that mean values are used for the chi2 statistic and therefore every time -point with observed values in the series only counts one time.

The +point with observed values in the series only counts one time.

+

The dataframe has one row for the total dataset and one further row for each -observed state variable in the model. - -

Details

- -

This function is used internally by summary.mkinfit.

-

References

- -

FOCUS (2006) “Guidance Document on Estimating Persistence +observed state variable in the model.

+
+
+

Details

+

This function is used internally by summary.mkinfit.

+
+
+

References

+

FOCUS (2006) “Guidance Document on Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in EU -Registration” Report of the FOCUS Work Group on Degradation Kinetics, EC +Registration” Report of the FOCUS Work Group on Degradation Kinetics, EC Document Reference Sanco/10058/2005 version 2.0, 434 pp, -http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

- -

Examples

- 

-SFO_SFO = mkinmod(parent = mkinsub("SFO", to = "m1"),
-                  m1 = mkinsub("SFO"),
-                  use_of_ff = "max")
-
#> Temporary DLL for differentials generated and loaded

-fit_FOCUS_D = mkinfit(SFO_SFO, FOCUS_2006_D, quiet = TRUE)
-
#> Warning: Observations with value of zero were removed from the data
round(mkinerrmin(fit_FOCUS_D), 4)
-
#>          err.min n.optim df
-#> All data  0.0640       4 15
-#> parent    0.0646       2  7
-#> m1        0.0469       2  8
# \dontrun{
-  fit_FOCUS_E = mkinfit(SFO_SFO, FOCUS_2006_E, quiet = TRUE)
-  round(mkinerrmin(fit_FOCUS_E), 4)
-
#>          err.min n.optim df
-#> All data  0.1544       4 13
-#> parent    0.1659       2  7
-#> m1        0.1095       2  6
# }
-
-
+http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

+
+ +
+

Examples

+ 

+SFO_SFO = mkinmod(parent = mkinsub("SFO", to = "m1"),
+                  m1 = mkinsub("SFO"),
+                  use_of_ff = "max")
+#> Temporary DLL for differentials generated and loaded
+
+fit_FOCUS_D = mkinfit(SFO_SFO, FOCUS_2006_D, quiet = TRUE)
+round(mkinerrmin(fit_FOCUS_D), 4)
+#>          err.min n.optim df
+#> All data  0.0640       4 15
+#> parent    0.0646       2  7
+#> m1        0.0469       2  8
+# \dontrun{
+  fit_FOCUS_E = mkinfit(SFO_SFO, FOCUS_2006_E, quiet = TRUE)
+  round(mkinerrmin(fit_FOCUS_E), 4)
+#>          err.min n.optim df
+#> All data  0.1544       4 13
+#> parent    0.1659       2  7
+#> m1        0.1095       2  6
+# }
+
+
+
+
- - - + + diff --git a/docs/reference/mkinerrplot-1.png b/docs/reference/mkinerrplot-1.png index bae6071d..49bb1c0e 100644 Binary files a/docs/reference/mkinerrplot-1.png and b/docs/reference/mkinerrplot-1.png differ diff --git a/docs/reference/mkinerrplot.html b/docs/reference/mkinerrplot.html index 361ce79a..5dc188fe 100644 --- a/docs/reference/mkinerrplot.html +++ b/docs/reference/mkinerrplot.html @@ -1,71 +1,16 @@ - - - - - - - -Function to plot squared residuals and the error model for an mkin object — mkinerrplot • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Function to plot squared residuals and the error model for an mkin object — mkinerrplot • mkin - - - - - - - - - - + + - - - -
-
- -
- -
+

Function to plot squared residuals and the error model for an mkin object

- Source: R/mkinerrplot.R + Source: R/mkinerrplot.R
@@ -151,128 +90,107 @@ using the argument show_errplot = TRUE." />

This function plots the squared residuals for the specified subset of the observed variables from an mkinfit object. In addition, one or more dashed line(s) show the fitted error model. A combined plot of the fitted model -and this error model plot can be obtained with plot.mkinfit +and this error model plot can be obtained with plot.mkinfit using the argument show_errplot = TRUE.

- 
mkinerrplot(
-  object,
-  obs_vars = names(object$mkinmod$map),
-  xlim = c(0, 1.1 * max(object$data$predicted)),
-  xlab = "Predicted",
-  ylab = "Squared residual",
-  maxy = "auto",
-  legend = TRUE,
-  lpos = "topright",
-  col_obs = "auto",
-  pch_obs = "auto",
-  frame = TRUE,
-  ...
-)
+
+ 
mkinerrplot(
+  object,
+  obs_vars = names(object$mkinmod$map),
+  xlim = c(0, 1.1 * max(object$data$predicted)),
+  xlab = "Predicted",
+  ylab = "Squared residual",
+  maxy = "auto",
+  legend = TRUE,
+  lpos = "topright",
+  col_obs = "auto",
+  pch_obs = "auto",
+  frame = TRUE,
+  ...
+)
+
-

Arguments

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
object

A fit represented in an mkinfit object.

obs_vars

A character vector of names of the observed variables for +

+

Arguments

+
object
+

A fit represented in an mkinfit object.

+
obs_vars
+

A character vector of names of the observed variables for which residuals should be plotted. Defaults to all observed variables in -the model

xlim

plot range in x direction.

xlab

Label for the x axis.

ylab

Label for the y axis.

maxy

Maximum value of the residuals. This is used for the scaling of -the y axis and defaults to "auto".

legend

Should a legend be plotted?

lpos

Where should the legend be placed? Default is "topright". Will -be passed on to legend.

col_obs

Colors for the observed variables.

pch_obs

Symbols to be used for the observed variables.

frame

Should a frame be drawn around the plots?

...

further arguments passed to plot.

- -

Value

- +the model

+
xlim
+

plot range in x direction.

+
xlab
+

Label for the x axis.

+
ylab
+

Label for the y axis.

+
maxy
+

Maximum value of the residuals. This is used for the scaling of +the y axis and defaults to "auto".

+
legend
+

Should a legend be plotted?

+
lpos
+

Where should the legend be placed? Default is "topright". Will +be passed on to legend.

+
col_obs
+

Colors for the observed variables.

+
pch_obs
+

Symbols to be used for the observed variables.

+
frame
+

Should a frame be drawn around the plots?

+
...
+

further arguments passed to plot.

+
+
+

Value

Nothing is returned by this function, as it is called for its side effect, namely to produce a plot.

-

See also

- -

mkinplot, for a way to plot the data and the fitted +

+
+

See also

+

mkinplot, for a way to plot the data and the fitted lines of the mkinfit object.

-

Author

- +
+
+

Author

Johannes Ranke

+
-

Examples

- 

-# \dontrun{
-model <- mkinmod(parent = mkinsub("SFO", "m1"), m1 = mkinsub("SFO"))
-
#> Temporary DLL for differentials generated and loaded
fit <- mkinfit(model, FOCUS_2006_D, error_model = "tc", quiet = TRUE)
-
#> Warning: Observations with value of zero were removed from the data
mkinerrplot(fit)
-
# }
-
-
+
+

Examples

+ 

+# \dontrun{
+model <- mkinmod(parent = mkinsub("SFO", "m1"), m1 = mkinsub("SFO"))
+#> Temporary DLL for differentials generated and loaded
+fit <- mkinfit(model, FOCUS_2006_D, error_model = "tc", quiet = TRUE)
+mkinerrplot(fit)
+
+# }
+
+
+
+
- - - + + diff --git a/docs/reference/mkinfit-1.png b/docs/reference/mkinfit-1.png index e1d0f2f4..7c51deb6 100644 Binary files a/docs/reference/mkinfit-1.png and b/docs/reference/mkinfit-1.png differ diff --git a/docs/reference/mkinfit.html b/docs/reference/mkinfit.html index 2c162e49..a0644947 100644 --- a/docs/reference/mkinfit.html +++ b/docs/reference/mkinfit.html @@ -1,46 +1,5 @@ - - - - - - - -Fit a kinetic model to data with one or more state variables — mkinfit • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Fit a kinetic model to data with one or more state variables — mkinfit • mkin - - - - - - - - - - - + + - - -
-
- -
- -
+

Fit a kinetic model to data with one or more state variables

- Source: R/mkinfit.R + Source: R/mkinfit.R

This function maximises the likelihood of the observed data using the Port -algorithm stats::nlminb(), and the specified initial or fixed +algorithm stats::nlminb(), and the specified initial or fixed parameters and starting values. In each step of the optimisation, the -kinetic model is solved using the function mkinpredict(), except +kinetic model is solved using the function mkinpredict(), except if an analytical solution is implemented, in which case the model is solved -using the degradation function in the mkinmod object. The +using the degradation function in the mkinmod object. The parameters of the selected error model are fitted simultaneously with the degradation model parameters, as both of them are arguments of the likelihood function.

- 
mkinfit(
-  mkinmod,
-  observed,
-  parms.ini = "auto",
-  state.ini = "auto",
-  err.ini = "auto",
-  fixed_parms = NULL,
-  fixed_initials = names(mkinmod$diffs)[-1],
-  from_max_mean = FALSE,
-  solution_type = c("auto", "analytical", "eigen", "deSolve"),
-  method.ode = "lsoda",
-  use_compiled = "auto",
-  control = list(eval.max = 300, iter.max = 200),
-  transform_rates = TRUE,
-  transform_fractions = TRUE,
-  quiet = FALSE,
-  atol = 1e-08,
-  rtol = 1e-10,
-  error_model = c("const", "obs", "tc"),
-  error_model_algorithm = c("auto", "d_3", "direct", "twostep", "threestep",
-    "fourstep", "IRLS", "OLS"),
-  reweight.tol = 1e-08,
-  reweight.max.iter = 10,
-  trace_parms = FALSE,
-  test_residuals = FALSE,
-  ...
-)
+
+ 
mkinfit(
+  mkinmod,
+  observed,
+  parms.ini = "auto",
+  state.ini = "auto",
+  err.ini = "auto",
+  fixed_parms = NULL,
+  fixed_initials = names(mkinmod$diffs)[-1],
+  from_max_mean = FALSE,
+  solution_type = c("auto", "analytical", "eigen", "deSolve"),
+  method.ode = "lsoda",
+  use_compiled = "auto",
+  control = list(eval.max = 300, iter.max = 200),
+  transform_rates = TRUE,
+  transform_fractions = TRUE,
+  quiet = FALSE,
+  atol = 1e-08,
+  rtol = 1e-10,
+  error_model = c("const", "obs", "tc"),
+  error_model_algorithm = c("auto", "d_3", "direct", "twostep", "threestep",
+    "fourstep", "IRLS", "OLS"),
+  reweight.tol = 1e-08,
+  reweight.max.iter = 10,
+  trace_parms = FALSE,
+  test_residuals = FALSE,
+  ...
+)
+
-

Arguments

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
mkinmod

A list of class mkinmod, containing the kinetic +

+

Arguments

+
mkinmod
+

A list of class mkinmod, containing the kinetic model to be fitted to the data, or one of the shorthand names ("SFO", "FOMC", "DFOP", "HS", "SFORB", "IORE"). If a shorthand name is given, a parent only degradation model is generated for the variable with the -highest value in observed.

observed

A dataframe with the observed data. The first column called +highest value in observed.

+
observed
+

A dataframe with the observed data. The first column called "name" must contain the name of the observed variable for each data point. The second column must contain the times of observation, named "time". The third column must be named "value" and contain the observed values. @@ -212,11 +149,9 @@ Zero values in the "value" column will be removed, with a warning, in order to avoid problems with fitting the two-component error model. This is not expected to be a problem, because in general, values of zero are not observed in degradation data, because there is a lower limit of -detection.

parms.ini

A named vector of initial values for the parameters, +detection.

+
parms.ini
+

A named vector of initial values for the parameters, including parameters to be optimised and potentially also fixed parameters as indicated by fixed_parms. If set to "auto", initial values for rate constants are set to default values. Using parameter names that are @@ -225,113 +160,83 @@ not in the model gives an error.

needs. You can use the parameter lists "bparms.ode" from a previously fitted model, which contains the differential equation parameters from this model. This works nicely if the models are nested. An example is -given below.

state.ini

A named vector of initial values for the state variables of +given below.

+
state.ini
+

A named vector of initial values for the state variables of the model. In case the observed variables are represented by more than one model variable, the names will differ from the names of the observed -variables (see map component of mkinmod). The default +variables (see map component of mkinmod). The default is to set the initial value of the first model variable to the mean of the time zero values for the variable with the maximum observed value, and all others to 0. If this variable has no time zero observations, its initial -value is set to 100.

err.ini

A named vector of initial values for the error model +value is set to 100.

+
err.ini
+

A named vector of initial values for the error model parameters to be optimised. If set to "auto", initial values are set to default values. Otherwise, inital values for all error model parameters -must be given.

fixed_parms

The names of parameters that should not be optimised but +must be given.

+
fixed_parms
+

The names of parameters that should not be optimised but rather kept at the values specified in parms.ini. Alternatively, a named numeric vector of parameters to be fixed, regardless of the values -in parms.ini.

fixed_initials

The names of model variables for which the initial +in parms.ini.

+
fixed_initials
+

The names of model variables for which the initial state at time 0 should be excluded from the optimisation. Defaults to all -state variables except for the first one.

from_max_mean

If this is set to TRUE, and the model has only one +state variables except for the first one.

+
from_max_mean
+

If this is set to TRUE, and the model has only one observed variable, then data before the time of the maximum observed value (after averaging for each sampling time) are discarded, and this time is subtracted from all remaining time values, so the time of the maximum -observed mean value is the new time zero.

solution_type

If set to "eigen", the solution of the system of +observed mean value is the new time zero.

+
solution_type
+

If set to "eigen", the solution of the system of differential equations is based on the spectral decomposition of the coefficient matrix in cases that this is possible. If set to "deSolve", a -numerical ode solver from package deSolve is used. If +numerical ode solver from package deSolve is used. If set to "analytical", an analytical solution of the model is used. This is only implemented for relatively simple degradation models. The default is "auto", which uses "analytical" if possible, otherwise "deSolve" if a compiler is present, and "eigen" if no compiler is present and the model -can be expressed using eigenvalues and eigenvectors.

method.ode

The solution method passed via mkinpredict() -to deSolve::ode() in case the solution type is "deSolve". The default -"lsoda" is performant, but sometimes fails to converge.

use_compiled

If set to FALSE, no compiled version of the -mkinmod model is used in the calls to mkinpredict() even if a compiled -version is present.

control

A list of control arguments passed to stats::nlminb().

transform_rates

Boolean specifying if kinetic rate constants should +can be expressed using eigenvalues and eigenvectors.

+
method.ode
+

The solution method passed via mkinpredict() +to deSolve::ode() in case the solution type is "deSolve". The default +"lsoda" is performant, but sometimes fails to converge.

+
use_compiled
+

If set to FALSE, no compiled version of the +mkinmod model is used in the calls to mkinpredict() even if a compiled +version is present.

+
control
+

A list of control arguments passed to stats::nlminb().

+
transform_rates
+

Boolean specifying if kinetic rate constants should be transformed in the model specification used in the fitting for better compliance with the assumption of normal distribution of the estimator. If TRUE, also alpha and beta parameters of the FOMC model are log-transformed, as well as k1 and k2 rate constants for the DFOP and HS models and the break point tb of the HS model. If FALSE, zero is used as -a lower bound for the rates in the optimisation.

transform_fractions

Boolean specifying if formation fractions +a lower bound for the rates in the optimisation.

+
transform_fractions
+

Boolean specifying if formation fractions should be transformed in the model specification used in the fitting for better compliance with the assumption of normal distribution of the estimator. The default (TRUE) is to do transformations. If TRUE, the g parameter of the DFOP model is also transformed. Transformations -are described in transform_odeparms.

quiet

Suppress printing out the current value of the negative -log-likelihood after each improvement?

atol

Absolute error tolerance, passed to deSolve::ode(). Default -is 1e-8, which is lower than the default in the deSolve::lsoda() -function which is used per default.

rtol

Absolute error tolerance, passed to deSolve::ode(). Default -is 1e-10, much lower than in deSolve::lsoda().

error_model

If the error model is "const", a constant standard +are described in transform_odeparms.

+
quiet
+

Suppress printing out the current value of the negative +log-likelihood after each improvement?

+
atol
+

Absolute error tolerance, passed to deSolve::ode(). Default +is 1e-8, which is lower than the default in the deSolve::lsoda() +function which is used per default.

+
rtol
+

Absolute error tolerance, passed to deSolve::ode(). Default +is 1e-10, much lower than in deSolve::lsoda().

+
error_model
+

If the error model is "const", a constant standard deviation is assumed.

If the error model is "obs", each observed variable is assumed to have its own variance.

@@ -340,11 +245,9 @@ error model similar to the one described by Rocke and Lorenzato (1995) is used for setting up the likelihood function. Note that this model deviates from the model by Rocke and Lorenzato, as their model implies that the errors follow a lognormal distribution for large values, not a -normal distribution as assumed by this method.

error_model_algorithm

If "auto", the selected algorithm depends on +normal distribution as assumed by this method.

+
error_model_algorithm
+

If "auto", the selected algorithm depends on the error model. If the error model is "const", unweighted nonlinear least squares fitting ("OLS") is selected. If the error model is "obs", or "tc", the "d_3" algorithm is selected.

@@ -367,372 +270,375 @@ degradation and error model parameters.

unweighted least squares, and then iterates optimization of the error model parameters and subsequent optimization of the degradation model using those error model parameters, until the error model parameters -converge.

reweight.tol

Tolerance for the convergence criterion calculated from -the error model parameters in IRLS fits.

reweight.max.iter

Maximum number of iterations in IRLS fits.

trace_parms

Should a trace of the parameter values be listed?

test_residuals

Should the residuals be tested for normal distribution?

...

Further arguments that will be passed on to -deSolve::ode().

- -

Value

- +converge.

+
reweight.tol
+

Tolerance for the convergence criterion calculated from +the error model parameters in IRLS fits.

+
reweight.max.iter
+

Maximum number of iterations in IRLS fits.

+
trace_parms
+

Should a trace of the parameter values be listed?

+
test_residuals
+

Should the residuals be tested for normal distribution?

+
...
+

Further arguments that will be passed on to +deSolve::ode().

+
+
+

Value

A list with "mkinfit" in the class attribute.

-

Details

- +
+
+

Details

Per default, parameters in the kinetic models are internally transformed in order to better satisfy the assumption of a normal distribution of their estimators.

-

Note

- +
+
+

Note

When using the "IORE" submodel for metabolites, fitting with "transform_rates = TRUE" (the default) often leads to failures of the numerical ODE solver. In this situation it may help to switch off the internal rate transformation.

-

References

- +
+
+

References

Rocke DM and Lorenzato S (1995) A two-component model for measurement error in analytical chemistry. Technometrics 37(2), 176-184.

Ranke J and Meinecke S (2019) Error Models for the Kinetic Evaluation of Chemical Degradation Data. Environments 6(12) 124 -doi: 10.3390/environments6120124 +doi: 10.3390/environments6120124 .

-

See also

- -

summary.mkinfit, plot.mkinfit, parms and lrtest.

+
+
+

See also

+

summary.mkinfit, plot.mkinfit, parms and lrtest.

Comparisons of models fitted to the same data can be made using -AIC by virtue of the method logLik.mkinfit.

+AIC by virtue of the method logLik.mkinfit.

Fitting of several models to several datasets in a single call to -mmkin.

-

Author

- +mmkin.

+
+
+

Author

Johannes Ranke

+
-

Examples

- 

-# Use shorthand notation for parent only degradation
-fit <- mkinfit("FOMC", FOCUS_2006_C, quiet = TRUE)
-summary(fit)
-
#> mkin version used for fitting:    1.0.4 
-#> R version used for fitting:       4.0.4 
-#> Date of fit:     Wed Mar 31 19:15:41 2021 
-#> Date of summary: Wed Mar 31 19:15:41 2021 
-#> 
-#> Equations:
-#> d_parent/dt = - (alpha/beta) * 1/((time/beta) + 1) * parent
-#> 
-#> Model predictions using solution type analytical 
-#> 
-#> Fitted using 222 model solutions performed in 0.046 s
-#> 
-#> Error model: Constant variance 
-#> 
-#> Error model algorithm: OLS 
-#> 
-#> Starting values for parameters to be optimised:
-#>          value   type
-#> parent_0  85.1  state
-#> alpha      1.0 deparm
-#> beta      10.0 deparm
-#> 
-#> Starting values for the transformed parameters actually optimised:
-#>               value lower upper
-#> parent_0  85.100000  -Inf   Inf
-#> log_alpha  0.000000  -Inf   Inf
-#> log_beta   2.302585  -Inf   Inf
-#> 
-#> Fixed parameter values:
-#> None
-#> 
-#> Results:
-#> 
-#>        AIC      BIC    logLik
-#>   44.68652 45.47542 -18.34326
-#> 
-#> Optimised, transformed parameters with symmetric confidence intervals:
-#>           Estimate Std. Error    Lower   Upper
-#> parent_0  85.87000     1.8070 81.23000 90.5200
-#> log_alpha  0.05192     0.1353 -0.29580  0.3996
-#> log_beta   0.65100     0.2287  0.06315  1.2390
-#> sigma      1.85700     0.4378  0.73200  2.9830
-#> 
-#> Parameter correlation:
-#>             parent_0  log_alpha   log_beta     sigma
-#> parent_0   1.000e+00 -1.565e-01 -3.142e-01 4.772e-08
-#> log_alpha -1.565e-01  1.000e+00  9.564e-01 1.005e-07
-#> log_beta  -3.142e-01  9.564e-01  1.000e+00 8.541e-08
-#> sigma      4.772e-08  1.005e-07  8.541e-08 1.000e+00
-#> 
-#> Backtransformed parameters:
-#> Confidence intervals for internally transformed parameters are asymmetric.
-#> t-test (unrealistically) based on the assumption of normal distribution
-#> for estimators of untransformed parameters.
-#>          Estimate t value    Pr(>t)   Lower  Upper
-#> parent_0   85.870  47.530 3.893e-08 81.2300 90.520
-#> alpha       1.053   7.393 3.562e-04  0.7439  1.491
-#> beta        1.917   4.373 3.601e-03  1.0650  3.451
-#> sigma       1.857   4.243 4.074e-03  0.7320  2.983
-#> 
-#> FOCUS Chi2 error levels in percent:
-#>          err.min n.optim df
-#> All data   6.657       3  6
-#> parent     6.657       3  6
-#> 
-#> Estimated disappearance times:
-#>         DT50  DT90 DT50back
-#> parent 1.785 15.15     4.56
-#> 
-#> Data:
-#>  time variable observed predicted residual
-#>     0   parent     85.1    85.875  -0.7749
-#>     1   parent     57.9    55.191   2.7091
-#>     3   parent     29.9    31.845  -1.9452
-#>     7   parent     14.6    17.012  -2.4124
-#>    14   parent      9.7     9.241   0.4590
-#>    28   parent      6.6     4.754   1.8460
-#>    63   parent      4.0     2.102   1.8977
-#>    91   parent      3.9     1.441   2.4590
-#>   119   parent      0.6     1.092  -0.4919

-# One parent compound, one metabolite, both single first order.
-# We remove zero values from FOCUS dataset D in order to avoid warnings
-FOCUS_D <- subset(FOCUS_2006_D, value != 0)
-# Use mkinsub for convenience in model formulation. Pathway to sink included per default.
-SFO_SFO <- mkinmod(
-  parent = mkinsub("SFO", "m1"),
-  m1 = mkinsub("SFO"))
-
#> Temporary DLL for differentials generated and loaded

-# Fit the model quietly to the FOCUS example dataset D using defaults
-fit <- mkinfit(SFO_SFO, FOCUS_D, quiet = TRUE)
-plot_sep(fit)
-
# As lower parent values appear to have lower variance, we try an alternative error model
-fit.tc <- mkinfit(SFO_SFO, FOCUS_D, quiet = TRUE, error_model = "tc")
-# This avoids the warning, and the likelihood ratio test confirms it is preferable
-lrtest(fit.tc, fit)
-
#> Likelihood ratio test
-#> 
-#> Model 1: SFO_SFO with error model tc and fixed parameter(s) m1_0
-#> Model 2: SFO_SFO with error model const and fixed parameter(s) m1_0
-#>   #Df  LogLik Df  Chisq Pr(>Chisq)    
-#> 1   6 -64.983                         
-#> 2   5 -97.224 -1 64.483  9.737e-16 ***
-#> ---
-#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
# We can also allow for different variances of parent and metabolite as error model
-fit.obs <- mkinfit(SFO_SFO, FOCUS_D, quiet = TRUE, error_model = "obs")
-# The two-component error model has significantly higher likelihood
-lrtest(fit.obs, fit.tc)
-
#> Likelihood ratio test
-#> 
-#> Model 1: SFO_SFO with error model tc and fixed parameter(s) m1_0
-#> Model 2: SFO_SFO with error model obs and fixed parameter(s) m1_0
-#>   #Df  LogLik Df  Chisq Pr(>Chisq)    
-#> 1   6 -64.983                         
-#> 2   6 -96.936  0 63.907  < 2.2e-16 ***
-#> ---
-#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
parms(fit.tc)
-
#>       parent_0       k_parent           k_m1 f_parent_to_m1      sigma_low 
-#>   1.007343e+02   1.005562e-01   5.166712e-03   5.083933e-01   3.049883e-03 
-#>       rsd_high 
-#>   7.928118e-02 
endpoints(fit.tc)
-
#> $ff
-#>   parent_m1 parent_sink 
-#>   0.5083933   0.4916067 
-#> 
-#> $distimes
-#>             DT50      DT90
-#> parent   6.89313  22.89848
-#> m1     134.15634 445.65772
-#> 

-# We can show a quick (only one replication) benchmark for this case, as we
-# have several alternative solution methods for the model. We skip
-# uncompiled deSolve, as it is so slow. More benchmarks are found in the
-# benchmark vignette
-# \dontrun{
-if(require(rbenchmark)) {
-  benchmark(replications = 1, order = "relative", columns = c("test", "relative", "elapsed"),
-    deSolve_compiled = mkinfit(SFO_SFO, FOCUS_D, quiet = TRUE, error_model = "tc",
-      solution_type = "deSolve", use_compiled = TRUE),
-    eigen = mkinfit(SFO_SFO, FOCUS_D, quiet = TRUE, error_model = "tc",
-      solution_type = "eigen"),
-    analytical = mkinfit(SFO_SFO, FOCUS_D, quiet = TRUE, error_model = "tc",
-      solution_type = "analytical"))
-}
-
#> Loading required package: rbenchmark
#>               test relative elapsed
-#> 3       analytical    1.000   0.547
-#> 1 deSolve_compiled    1.717   0.939
-#> 2            eigen    2.644   1.446
# }
-
-# Use stepwise fitting, using optimised parameters from parent only fit, FOMC-SFO
-# \dontrun{
-FOMC_SFO <- mkinmod(
-  parent = mkinsub("FOMC", "m1"),
-  m1 = mkinsub("SFO"))
-
#> Temporary DLL for differentials generated and loaded
fit.FOMC_SFO <- mkinfit(FOMC_SFO, FOCUS_D, quiet = TRUE)
-# Again, we get a warning and try a more sophisticated error model
-fit.FOMC_SFO.tc <- mkinfit(FOMC_SFO, FOCUS_D, quiet = TRUE, error_model = "tc")
-# This model has a higher likelihood, but not significantly so
-lrtest(fit.tc, fit.FOMC_SFO.tc)
-
#> Likelihood ratio test
-#> 
-#> Model 1: FOMC_SFO with error model tc and fixed parameter(s) m1_0
-#> Model 2: SFO_SFO with error model tc and fixed parameter(s) m1_0
-#>   #Df  LogLik Df  Chisq Pr(>Chisq)
-#> 1   7 -64.829                     
-#> 2   6 -64.983 -1 0.3075     0.5792
# Also, the missing standard error for log_beta and the t-tests for alpha
-# and beta indicate overparameterisation
-summary(fit.FOMC_SFO.tc, data = FALSE)
-
#> Warning: NaNs produced
#> Warning: NaNs produced
#> Warning: diag(.) had 0 or NA entries; non-finite result is doubtful
#> mkin version used for fitting:    1.0.4 
-#> R version used for fitting:       4.0.4 
-#> Date of fit:     Wed Mar 31 19:15:53 2021 
-#> Date of summary: Wed Mar 31 19:15:53 2021 
-#> 
-#> Equations:
-#> d_parent/dt = - (alpha/beta) * 1/((time/beta) + 1) * parent
-#> d_m1/dt = + f_parent_to_m1 * (alpha/beta) * 1/((time/beta) + 1) *
-#>            parent - k_m1 * m1
-#> 
-#> Model predictions using solution type deSolve 
-#> 
-#> Fitted using 3729 model solutions performed in 2.798 s
-#> 
-#> Error model: Two-component variance function 
-#> 
-#> Error model algorithm: d_3 
-#> Direct fitting and three-step fitting yield approximately the same likelihood 
-#> 
-#> Starting values for parameters to be optimised:
-#>                 value   type
-#> parent_0       100.75  state
-#> alpha            1.00 deparm
-#> beta            10.00 deparm
-#> k_m1             0.10 deparm
-#> f_parent_to_m1   0.50 deparm
-#> sigma_low        0.10  error
-#> rsd_high         0.10  error
-#> 
-#> Starting values for the transformed parameters actually optimised:
-#>                      value lower upper
-#> parent_0        100.750000  -Inf   Inf
-#> log_k_m1         -2.302585  -Inf   Inf
-#> f_parent_qlogis   0.000000  -Inf   Inf
-#> log_alpha         0.000000  -Inf   Inf
-#> log_beta          2.302585  -Inf   Inf
-#> sigma_low         0.100000     0   Inf
-#> rsd_high          0.100000     0   Inf
-#> 
-#> Fixed parameter values:
-#>      value  type
-#> m1_0     0 state
-#> 
-#> Results:
-#> 
-#>       AIC      BIC    logLik
-#>   143.658 155.1211 -64.82902
-#> 
-#> Optimised, transformed parameters with symmetric confidence intervals:
-#>                   Estimate Std. Error     Lower      Upper
-#> parent_0        101.600000  2.6400000 96.240000 107.000000
-#> log_k_m1         -5.284000  0.0929100 -5.474000  -5.095000
-#> f_parent_qlogis   0.001426  0.0767000 -0.155000   0.157800
-#> log_alpha         5.522000  0.0077320  5.506000   5.538000
-#> log_beta          7.806000        NaN       NaN        NaN
-#> sigma_low         0.002488  0.0002431  0.001992   0.002984
-#> rsd_high          0.079210  0.0093280  0.060180   0.098230
-#> 
-#> Parameter correlation:
-#>                  parent_0  log_k_m1 f_parent_qlogis log_alpha log_beta
-#> parent_0         1.000000 -0.095226        -0.76678   0.70544      NaN
-#> log_k_m1        -0.095226  1.000000         0.51432  -0.14387      NaN
-#> f_parent_qlogis -0.766780  0.514321         1.00000  -0.61396      NaN
-#> log_alpha        0.705444 -0.143872        -0.61396   1.00000      NaN
-#> log_beta              NaN       NaN             NaN       NaN        1
-#> sigma_low        0.016073  0.001586         0.01548   5.87007      NaN
-#> rsd_high         0.006626 -0.011700        -0.05357   0.04849      NaN
-#>                 sigma_low  rsd_high
-#> parent_0         0.016073  0.006626
-#> log_k_m1         0.001586 -0.011700
-#> f_parent_qlogis  0.015476 -0.053566
-#> log_alpha        5.870075  0.048487
-#> log_beta              NaN       NaN
-#> sigma_low        1.000000 -0.652558
-#> rsd_high        -0.652558  1.000000
-#> 
-#> Backtransformed parameters:
-#> Confidence intervals for internally transformed parameters are asymmetric.
-#> t-test (unrealistically) based on the assumption of normal distribution
-#> for estimators of untransformed parameters.
-#>                 Estimate t value    Pr(>t)     Lower     Upper
-#> parent_0       1.016e+02 32.7800 6.311e-26 9.624e+01 1.070e+02
-#> k_m1           5.072e-03 10.1200 1.216e-11 4.196e-03 6.130e-03
-#> f_parent_to_m1 5.004e-01 20.8300 4.317e-20 4.613e-01 5.394e-01
-#> alpha          2.502e+02  0.5624 2.889e-01 2.463e+02 2.542e+02
-#> beta           2.455e+03  0.5549 2.915e-01        NA        NA
-#> sigma_low      2.488e-03  0.4843 3.158e-01 1.992e-03 2.984e-03
-#> rsd_high       7.921e-02  8.4300 8.001e-10 6.018e-02 9.823e-02
-#> 
-#> FOCUS Chi2 error levels in percent:
-#>          err.min n.optim df
-#> All data   6.781       5 14
-#> parent     7.141       3  6
-#> m1         4.640       2  8
-#> 
-#> Resulting formation fractions:
-#>                 ff
-#> parent_m1   0.5004
-#> parent_sink 0.4996
-#> 
-#> Estimated disappearance times:
-#>           DT50  DT90 DT50back
-#> parent   6.812  22.7    6.834
-#> m1     136.661 454.0       NA

-# We can easily use starting parameters from the parent only fit (only for illustration)
-fit.FOMC = mkinfit("FOMC", FOCUS_2006_D, quiet = TRUE, error_model = "tc")
-fit.FOMC_SFO <- mkinfit(FOMC_SFO, FOCUS_D, quiet = TRUE,
-  parms.ini = fit.FOMC$bparms.ode, error_model = "tc")
-# }
-
+
+

Examples

+ 

+# Use shorthand notation for parent only degradation
+fit <- mkinfit("FOMC", FOCUS_2006_C, quiet = TRUE)
+summary(fit)
+#> mkin version used for fitting:    1.1.0 
+#> R version used for fitting:       4.1.2 
+#> Date of fit:     Wed Mar  2 13:30:39 2022 
+#> Date of summary: Wed Mar  2 13:30:39 2022 
+#> 
+#> Equations:
+#> d_parent/dt = - (alpha/beta) * 1/((time/beta) + 1) * parent
+#> 
+#> Model predictions using solution type analytical 
+#> 
+#> Fitted using 222 model solutions performed in 0.046 s
+#> 
+#> Error model: Constant variance 
+#> 
+#> Error model algorithm: OLS 
+#> 
+#> Starting values for parameters to be optimised:
+#>          value   type
+#> parent_0  85.1  state
+#> alpha      1.0 deparm
+#> beta      10.0 deparm
+#> 
+#> Starting values for the transformed parameters actually optimised:
+#>               value lower upper
+#> parent_0  85.100000  -Inf   Inf
+#> log_alpha  0.000000  -Inf   Inf
+#> log_beta   2.302585  -Inf   Inf
+#> 
+#> Fixed parameter values:
+#> None
+#> 
+#> Results:
+#> 
+#>        AIC      BIC    logLik
+#>   44.68652 45.47542 -18.34326
+#> 
+#> Optimised, transformed parameters with symmetric confidence intervals:
+#>           Estimate Std. Error    Lower   Upper
+#> parent_0  85.87000     1.8070 81.23000 90.5200
+#> log_alpha  0.05192     0.1353 -0.29580  0.3996
+#> log_beta   0.65100     0.2287  0.06315  1.2390
+#> sigma      1.85700     0.4378  0.73200  2.9830
+#> 
+#> Parameter correlation:
+#>             parent_0  log_alpha   log_beta     sigma
+#> parent_0   1.000e+00 -1.565e-01 -3.142e-01 4.772e-08
+#> log_alpha -1.565e-01  1.000e+00  9.564e-01 1.005e-07
+#> log_beta  -3.142e-01  9.564e-01  1.000e+00 8.541e-08
+#> sigma      4.772e-08  1.005e-07  8.541e-08 1.000e+00
+#> 
+#> Backtransformed parameters:
+#> Confidence intervals for internally transformed parameters are asymmetric.
+#> t-test (unrealistically) based on the assumption of normal distribution
+#> for estimators of untransformed parameters.
+#>          Estimate t value    Pr(>t)   Lower  Upper
+#> parent_0   85.870  47.530 3.893e-08 81.2300 90.520
+#> alpha       1.053   7.393 3.562e-04  0.7439  1.491
+#> beta        1.917   4.373 3.601e-03  1.0650  3.451
+#> sigma       1.857   4.243 4.074e-03  0.7320  2.983
+#> 
+#> FOCUS Chi2 error levels in percent:
+#>          err.min n.optim df
+#> All data   6.657       3  6
+#> parent     6.657       3  6
+#> 
+#> Estimated disappearance times:
+#>         DT50  DT90 DT50back
+#> parent 1.785 15.15     4.56
+#> 
+#> Data:
+#>  time variable observed predicted residual
+#>     0   parent     85.1    85.875  -0.7749
+#>     1   parent     57.9    55.191   2.7091
+#>     3   parent     29.9    31.845  -1.9452
+#>     7   parent     14.6    17.012  -2.4124
+#>    14   parent      9.7     9.241   0.4590
+#>    28   parent      6.6     4.754   1.8460
+#>    63   parent      4.0     2.102   1.8977
+#>    91   parent      3.9     1.441   2.4590
+#>   119   parent      0.6     1.092  -0.4919
+
+# One parent compound, one metabolite, both single first order.
+# We remove zero values from FOCUS dataset D in order to avoid warnings
+FOCUS_D <- subset(FOCUS_2006_D, value != 0)
+# Use mkinsub for convenience in model formulation. Pathway to sink included per default.
+SFO_SFO <- mkinmod(
+  parent = mkinsub("SFO", "m1"),
+  m1 = mkinsub("SFO"))
+#> Temporary DLL for differentials generated and loaded
+
+# Fit the model quietly to the FOCUS example dataset D using defaults
+fit <- mkinfit(SFO_SFO, FOCUS_D, quiet = TRUE)
+plot_sep(fit)
+
+# As lower parent values appear to have lower variance, we try an alternative error model
+fit.tc <- mkinfit(SFO_SFO, FOCUS_D, quiet = TRUE, error_model = "tc")
+# This avoids the warning, and the likelihood ratio test confirms it is preferable
+lrtest(fit.tc, fit)
+#> Likelihood ratio test
+#> 
+#> Model 1: SFO_SFO with error model tc and fixed parameter(s) m1_0
+#> Model 2: SFO_SFO with error model const and fixed parameter(s) m1_0
+#>   #Df  LogLik Df  Chisq Pr(>Chisq)    
+#> 1   6 -64.983                         
+#> 2   5 -97.224 -1 64.483  9.737e-16 ***
+#> ---
+#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
+# We can also allow for different variances of parent and metabolite as error model
+fit.obs <- mkinfit(SFO_SFO, FOCUS_D, quiet = TRUE, error_model = "obs")
+# The two-component error model has significantly higher likelihood
+lrtest(fit.obs, fit.tc)
+#> Likelihood ratio test
+#> 
+#> Model 1: SFO_SFO with error model tc and fixed parameter(s) m1_0
+#> Model 2: SFO_SFO with error model obs and fixed parameter(s) m1_0
+#>   #Df  LogLik Df  Chisq Pr(>Chisq)    
+#> 1   6 -64.983                         
+#> 2   6 -96.936  0 63.907  < 2.2e-16 ***
+#> ---
+#> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
+parms(fit.tc)
+#>       parent_0       k_parent           k_m1 f_parent_to_m1      sigma_low 
+#>   1.007343e+02   1.005562e-01   5.166712e-03   5.083933e-01   3.049883e-03 
+#>       rsd_high 
+#>   7.928118e-02 
+endpoints(fit.tc)
+#> $ff
+#>   parent_m1 parent_sink 
+#>   0.5083933   0.4916067 
+#> 
+#> $distimes
+#>             DT50      DT90
+#> parent   6.89313  22.89848
+#> m1     134.15634 445.65772
+#> 
+
+# We can show a quick (only one replication) benchmark for this case, as we
+# have several alternative solution methods for the model. We skip
+# uncompiled deSolve, as it is so slow. More benchmarks are found in the
+# benchmark vignette
+# \dontrun{
+if(require(rbenchmark)) {
+  benchmark(replications = 1, order = "relative", columns = c("test", "relative", "elapsed"),
+    deSolve_compiled = mkinfit(SFO_SFO, FOCUS_D, quiet = TRUE, error_model = "tc",
+      solution_type = "deSolve", use_compiled = TRUE),
+    eigen = mkinfit(SFO_SFO, FOCUS_D, quiet = TRUE, error_model = "tc",
+      solution_type = "eigen"),
+    analytical = mkinfit(SFO_SFO, FOCUS_D, quiet = TRUE, error_model = "tc",
+      solution_type = "analytical"))
+}
+#>               test relative elapsed
+#> 3       analytical    1.000   0.699
+#> 1 deSolve_compiled    1.595   1.115
+#> 2            eigen    2.252   1.574
+# }
+
+# Use stepwise fitting, using optimised parameters from parent only fit, FOMC-SFO
+# \dontrun{
+FOMC_SFO <- mkinmod(
+  parent = mkinsub("FOMC", "m1"),
+  m1 = mkinsub("SFO"))
+#> Temporary DLL for differentials generated and loaded
+fit.FOMC_SFO <- mkinfit(FOMC_SFO, FOCUS_D, quiet = TRUE)
+# Again, we get a warning and try a more sophisticated error model
+fit.FOMC_SFO.tc <- mkinfit(FOMC_SFO, FOCUS_D, quiet = TRUE, error_model = "tc")
+# This model has a higher likelihood, but not significantly so
+lrtest(fit.tc, fit.FOMC_SFO.tc)
+#> Likelihood ratio test
+#> 
+#> Model 1: FOMC_SFO with error model tc and fixed parameter(s) m1_0
+#> Model 2: SFO_SFO with error model tc and fixed parameter(s) m1_0
+#>   #Df  LogLik Df  Chisq Pr(>Chisq)
+#> 1   7 -64.829                     
+#> 2   6 -64.983 -1 0.3075     0.5792
+# Also, the missing standard error for log_beta and the t-tests for alpha
+# and beta indicate overparameterisation
+summary(fit.FOMC_SFO.tc, data = FALSE)
+#> mkin version used for fitting:    1.1.0 
+#> R version used for fitting:       4.1.2 
+#> Date of fit:     Wed Mar  2 13:30:53 2022 
+#> Date of summary: Wed Mar  2 13:30:53 2022 
+#> 
+#> Equations:
+#> d_parent/dt = - (alpha/beta) * 1/((time/beta) + 1) * parent
+#> d_m1/dt = + f_parent_to_m1 * (alpha/beta) * 1/((time/beta) + 1) *
+#>            parent - k_m1 * m1
+#> 
+#> Model predictions using solution type deSolve 
+#> 
+#> Fitted using 3729 model solutions performed in 2.916 s
+#> 
+#> Error model: Two-component variance function 
+#> 
+#> Error model algorithm: d_3 
+#> Direct fitting and three-step fitting yield approximately the same likelihood 
+#> 
+#> Starting values for parameters to be optimised:
+#>                 value   type
+#> parent_0       100.75  state
+#> alpha            1.00 deparm
+#> beta            10.00 deparm
+#> k_m1             0.10 deparm
+#> f_parent_to_m1   0.50 deparm
+#> sigma_low        0.10  error
+#> rsd_high         0.10  error
+#> 
+#> Starting values for the transformed parameters actually optimised:
+#>                      value lower upper
+#> parent_0        100.750000  -Inf   Inf
+#> log_k_m1         -2.302585  -Inf   Inf
+#> f_parent_qlogis   0.000000  -Inf   Inf
+#> log_alpha         0.000000  -Inf   Inf
+#> log_beta          2.302585  -Inf   Inf
+#> sigma_low         0.100000     0   Inf
+#> rsd_high          0.100000     0   Inf
+#> 
+#> Fixed parameter values:
+#>      value  type
+#> m1_0     0 state
+#> 
+#> Results:
+#> 
+#>       AIC      BIC    logLik
+#>   143.658 155.1211 -64.82902
+#> 
+#> Optimised, transformed parameters with symmetric confidence intervals:
+#>                   Estimate Std. Error     Lower      Upper
+#> parent_0        101.600000  2.6400000 96.240000 107.000000
+#> log_k_m1         -5.284000  0.0929100 -5.474000  -5.095000
+#> f_parent_qlogis   0.001426  0.0767000 -0.155000   0.157800
+#> log_alpha         5.522000  0.0077320  5.506000   5.538000
+#> log_beta          7.806000        NaN       NaN        NaN
+#> sigma_low         0.002488  0.0002431  0.001992   0.002984
+#> rsd_high          0.079210  0.0093280  0.060180   0.098230
+#> 
+#> Parameter correlation:
+#>                  parent_0  log_k_m1 f_parent_qlogis log_alpha log_beta
+#> parent_0         1.000000 -0.095226        -0.76678   0.70544      NaN
+#> log_k_m1        -0.095226  1.000000         0.51432  -0.14387      NaN
+#> f_parent_qlogis -0.766780  0.514321         1.00000  -0.61396      NaN
+#> log_alpha        0.705444 -0.143872        -0.61396   1.00000      NaN
+#> log_beta              NaN       NaN             NaN       NaN        1
+#> sigma_low        0.016073  0.001586         0.01548   5.87007      NaN
+#> rsd_high         0.006626 -0.011700        -0.05357   0.04849      NaN
+#>                 sigma_low  rsd_high
+#> parent_0         0.016073  0.006626
+#> log_k_m1         0.001586 -0.011700
+#> f_parent_qlogis  0.015476 -0.053566
+#> log_alpha        5.870075  0.048487
+#> log_beta              NaN       NaN
+#> sigma_low        1.000000 -0.652558
+#> rsd_high        -0.652558  1.000000
+#> 
+#> Backtransformed parameters:
+#> Confidence intervals for internally transformed parameters are asymmetric.
+#> t-test (unrealistically) based on the assumption of normal distribution
+#> for estimators of untransformed parameters.
+#>                 Estimate t value    Pr(>t)     Lower     Upper
+#> parent_0       1.016e+02 32.7800 6.311e-26 9.624e+01 1.070e+02
+#> k_m1           5.072e-03 10.1200 1.216e-11 4.196e-03 6.130e-03
+#> f_parent_to_m1 5.004e-01 20.8300 4.317e-20 4.613e-01 5.394e-01
+#> alpha          2.502e+02  0.5624 2.889e-01 2.463e+02 2.542e+02
+#> beta           2.455e+03  0.5549 2.915e-01        NA        NA
+#> sigma_low      2.488e-03  0.4843 3.158e-01 1.992e-03 2.984e-03
+#> rsd_high       7.921e-02  8.4300 8.001e-10 6.018e-02 9.823e-02
+#> 
+#> FOCUS Chi2 error levels in percent:
+#>          err.min n.optim df
+#> All data   6.781       5 14
+#> parent     7.141       3  6
+#> m1         4.640       2  8
+#> 
+#> Resulting formation fractions:
+#>                 ff
+#> parent_m1   0.5004
+#> parent_sink 0.4996
+#> 
+#> Estimated disappearance times:
+#>           DT50  DT90 DT50back
+#> parent   6.812  22.7    6.834
+#> m1     136.661 454.0       NA
+
+# We can easily use starting parameters from the parent only fit (only for illustration)
+fit.FOMC = mkinfit("FOMC", FOCUS_2006_D, quiet = TRUE, error_model = "tc")
+fit.FOMC_SFO <- mkinfit(FOMC_SFO, FOCUS_D, quiet = TRUE,
+  parms.ini = fit.FOMC$bparms.ode, error_model = "tc")
+# }
+
+
+
- - - + + diff --git a/docs/reference/mkinmod.html b/docs/reference/mkinmod.html index f9976c6b..a5cc3d7a 100644 --- a/docs/reference/mkinmod.html +++ b/docs/reference/mkinmod.html @@ -1,73 +1,16 @@ - - - - - - - -Function to set up a kinetic model with one or more state variables — mkinmod • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Function to set up a kinetic model with one or more state variables — mkinmod • mkin - - - - - - - - - + + - - - - -
-
- -
- -
+

Function to set up a kinetic model with one or more state variables

- Source: R/mkinmod.R, R/mkinsub.R + Source: R/mkinmod.R, R/mkinsub.R
@@ -155,33 +92,31 @@ variable, specifying the corresponding submodel as well as outgoing pathways (see examples).

Print mkinmod objects in a way that the user finds his way to get to its components.

-

This is a convenience function to set up the lists used as arguments for -mkinmod.

- 
mkinmod(
-  ...,
-  use_of_ff = "max",
-  name = NULL,
-  speclist = NULL,
-  quiet = FALSE,
-  verbose = FALSE,
-  dll_dir = NULL,
-  unload = FALSE,
-  overwrite = FALSE
-)
-
-# S3 method for mkinmod
-print(x, ...)
-
-mkinsub(submodel, to = NULL, sink = TRUE, full_name = NA)
+
+ 
mkinmod(
+  ...,
+  use_of_ff = "max",
+  name = NULL,
+  speclist = NULL,
+  quiet = FALSE,
+  verbose = FALSE,
+  dll_dir = NULL,
+  unload = FALSE,
+  overwrite = FALSE
+)
+
+# S3 method for mkinmod
+print(x, ...)
+
+mkinsub(submodel, to = NULL, sink = TRUE, full_name = NA)
+
-

Arguments

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
...

For each observed variable, a list as obtained by mkinsub() +

+

Arguments

+
...
+

For each observed variable, a list as obtained by mkinsub() has to be specified as an argument (see examples). Currently, single first order kinetics "SFO", indeterminate order rate equation kinetics "IORE", or single first order with reversible binding "SFORB" are @@ -194,249 +129,234 @@ If the argument use_of_ff is set to "min" (default) and the model for the compartment is "SFO" or "SFORB", an additional mkinsub() argument can be sink = FALSE, effectively fixing the flux to sink to zero. -In print.mkinmod, this argument is currently not used.

use_of_ff

Specification of the use of formation fractions in the +In print.mkinmod, this argument is currently not used.

+
use_of_ff
+

Specification of the use of formation fractions in the model equations and, if applicable, the coefficient matrix. If "max", formation fractions are always used (default). If "min", a minimum use of formation fractions is made, i.e. each first-order pathway to a metabolite -has its own rate constant.

name

A name for the model. Should be a valid R object name.

speclist

The specification of the observed variables and their +has its own rate constant.

+
name
+

A name for the model. Should be a valid R object name.

+
speclist
+

The specification of the observed variables and their submodel types and pathways can be given as a single list using this -argument. Default is NULL.

quiet

Should messages be suppressed?

verbose

If TRUE, passed to inline::cfunction() if -applicable to give detailed information about the C function being built.

dll_dir

Directory where an DLL object, if generated internally by -inline::cfunction(), should be saved. The DLL will only be stored in a +argument. Default is NULL.

+
quiet
+

Should messages be suppressed?

+
verbose
+

If TRUE, passed to inline::cfunction() if +applicable to give detailed information about the C function being built.

+
dll_dir
+

Directory where an DLL object, if generated internally by +inline::cfunction(), should be saved. The DLL will only be stored in a permanent location for use in future sessions, if 'dll_dir' and 'name' -are specified.

unload

If a DLL from the target location in 'dll_dir' is already -loaded, should that be unloaded first?

overwrite

If a file exists at the target DLL location in 'dll_dir', -should this be overwritten?

x

An mkinmod object.

submodel

Character vector of length one to specify the submodel type. -See mkinmod for the list of allowed submodel names.

to

Vector of the names of the state variable to which a -transformation shall be included in the model.

sink

Should a pathway to sink be included in the model in addition to -the pathways to other state variables?

full_name

An optional name to be used e.g. for plotting fits +are specified.

+
unload
+

If a DLL from the target location in 'dll_dir' is already +loaded, should that be unloaded first?

+
overwrite
+

If a file exists at the target DLL location in 'dll_dir', +should this be overwritten?

+
x
+

An mkinmod object.

+
submodel
+

Character vector of length one to specify the submodel type. +See mkinmod for the list of allowed submodel names.

+
to
+

Vector of the names of the state variable to which a +transformation shall be included in the model.

+
sink
+

Should a pathway to sink be included in the model in addition to +the pathways to other state variables?

+
full_name
+

An optional name to be used e.g. for plotting fits performed with the model. You can use non-ASCII characters here, but then your R code will not be portable, i.e. may produce unintended plot -results on other operating systems or system configurations.

- -

Value

- -

A list of class mkinmod for use with mkinfit(), +results on other operating systems or system configurations.

+
+
+

Value

+

A list of class mkinmod for use with mkinfit(), containing, among others,

-
diffs

A vector of string representations of differential equations, one for +

diffs
+

A vector of string representations of differential equations, one for each modelling variable.

-
map

A list containing named character vectors for each observed variable, +

map
+

A list containing named character vectors for each observed variable, specifying the modelling variables by which it is represented.

-
use_of_ff

The content of use_of_ff is passed on in this list component.

-
deg_func

If generated, a function containing the solution of the degradation +

use_of_ff
+

The content of use_of_ff is passed on in this list component.

+
deg_func
+

If generated, a function containing the solution of the degradation model.

-
coefmat

The coefficient matrix, if the system of differential equations can be +

coefmat
+

The coefficient matrix, if the system of differential equations can be represented by one.

-
cf

If generated, a compiled function calculating the derivatives as +

cf
+

If generated, a compiled function calculating the derivatives as returned by cfunction.

- -A list for use with mkinmod. - -

Details

- +

A list for use with mkinmod.

+
+
+

Details

For the definition of model types and their parameters, the equations given in the FOCUS and NAFTA guidance documents are used.

For kinetic models with more than one observed variable, a symbolic solution of the system of differential equations is included in the resulting mkinmod object in some cases, speeding up the solution.

-

If a C compiler is found by pkgbuild::has_compiler() and there +

If a C compiler is found by pkgbuild::has_compiler() and there is more than one observed variable in the specification, C code is generated for evaluating the differential equations, compiled using -inline::cfunction() and added to the resulting mkinmod object.

-

Note

- +inline::cfunction() and added to the resulting mkinmod object.

+
+
+

Note

The IORE submodel is not well tested for metabolites. When using this model for metabolites, you may want to read the note in the help -page to mkinfit.

-

References

- -

FOCUS (2006) “Guidance Document on Estimating Persistence +page to mkinfit.

+
+
+

References

+

FOCUS (2006) “Guidance Document on Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in -EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, +EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, EC Document Reference Sanco/10058/2005 version 2.0, 434 pp, -http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

+http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

NAFTA Technical Working Group on Pesticides (not dated) Guidance for Evaluating and Calculating Degradation Kinetics in Environmental Media

-

Author

- +
+
+

Author

Johannes Ranke

+
-

Examples

- 

-# Specify the SFO model (this is not needed any more, as we can now mkinfit("SFO", ...)
-SFO <- mkinmod(parent = mkinsub("SFO"))
-
-# One parent compound, one metabolite, both single first order
-SFO_SFO <- mkinmod(
-  parent = mkinsub("SFO", "m1"),
-  m1 = mkinsub("SFO"))
-
#> Temporary DLL for differentials generated and loaded
print(SFO_SFO)
-
#> <mkinmod> model generated with
-#> Use of formation fractions $use_of_ff: max 
-#> Specification $spec:
-#> $parent
-#> $type: SFO; $to: m1; $sink: TRUE
-#> $m1
-#> $type: SFO; $sink: TRUE
-#> Coefficient matrix $coefmat available
-#> Compiled model $cf available
-#> Differential equations:
-#> d_parent/dt = - k_parent * parent
-#> d_m1/dt = + f_parent_to_m1 * k_parent * parent - k_m1 * m1

-# \dontrun{
- fit_sfo_sfo <- mkinfit(SFO_SFO, FOCUS_2006_D, quiet = TRUE, solution_type = "deSolve")
-
#> Warning: Observations with value of zero were removed from the data

- # Now supplying compound names used for plotting, and write to user defined location
- # We need to choose a path outside the session tempdir because this gets removed
- DLL_dir <- "~/.local/share/mkin"
- if (!dir.exists(DLL_dir)) dir.create(DLL_dir)
- SFO_SFO.2 <- mkinmod(
-   parent = mkinsub("SFO", "m1", full_name = "Test compound"),
-   m1 = mkinsub("SFO", full_name = "Metabolite M1"),
-   name = "SFO_SFO", dll_dir = DLL_dir, unload = TRUE, overwrite = TRUE)
-
#> Copied DLL from /tmp/Rtmp1acwPp/fileb9e34769fb8fe.so to /home/jranke/.local/share/mkin/SFO_SFO.so
# Now we can save the model and restore it in a new session
-saveRDS(SFO_SFO.2, file = "~/SFO_SFO.rds")
-# Terminate the R session here if you would like to check, and then do
-library(mkin)
-SFO_SFO.3 <- readRDS("~/SFO_SFO.rds")
-fit_sfo_sfo <- mkinfit(SFO_SFO.3, FOCUS_2006_D, quiet = TRUE, solution_type = "deSolve")
-
#> Warning: Observations with value of zero were removed from the data

-# Show details of creating the C function
-SFO_SFO <- mkinmod(
-  parent = mkinsub("SFO", "m1"),
-  m1 = mkinsub("SFO"), verbose = TRUE)
-
#> Program source:
-#>   1: #include <R.h>
-#>   2: 
-#>   3: 
-#>   4: static double parms [3];
-#>   5: #define k_parent parms[0]
-#>   6: #define f_parent_to_m1 parms[1]
-#>   7: #define k_m1 parms[2]
-#>   8: 
-#>   9: void initpar(void (* odeparms)(int *, double *)) {
-#>  10:     int N = 3;
-#>  11:     odeparms(&N, parms);
-#>  12: }
-#>  13: 
-#>  14: 
-#>  15: void diffs ( int * n, double * t, double * y, double * f, double * rpar, int * ipar ) {
-#>  16: 
-#>  17: f[0] = - k_parent * y[0];
-#>  18: f[1] = + f_parent_to_m1 * k_parent * y[0] - k_m1 * y[1];
-#>  19: }
#> Temporary DLL for differentials generated and loaded

-# The symbolic solution which is available in this case is not
-# made for human reading but for speed of computation
-SFO_SFO$deg_func
-
#> function (observed, odeini, odeparms) 
-#> {
-#>     predicted <- numeric(0)
-#>     with(as.list(odeparms), {
-#>         t <- observed[observed$name == "parent", "time"]
-#>         predicted <<- c(predicted, SFO.solution(t, odeini["parent"], 
-#>             k_parent))
-#>         t <- observed[observed$name == "m1", "time"]
-#>         predicted <<- c(predicted, (((k_m1 - k_parent) * odeini["m1"] - 
-#>             f_parent_to_m1 * k_parent * odeini["parent"]) * exp(-k_m1 * 
-#>             t) + f_parent_to_m1 * k_parent * odeini["parent"] * 
-#>             exp(-k_parent * t))/(k_m1 - k_parent))
-#>     })
-#>     return(predicted)
-#> }
-#> <environment: 0x55555a720040>

-# If we have several parallel metabolites
-# (compare tests/testthat/test_synthetic_data_for_UBA_2014.R)
-m_synth_DFOP_par <- mkinmod(
- parent = mkinsub("DFOP", c("M1", "M2")),
- M1 = mkinsub("SFO"),
- M2 = mkinsub("SFO"),
- quiet = TRUE)
-
-fit_DFOP_par_c <- mkinfit(m_synth_DFOP_par,
-  synthetic_data_for_UBA_2014[[12]]$data,
-  quiet = TRUE)
-# }
-
-
+
+

Examples

+ 

+# Specify the SFO model (this is not needed any more, as we can now mkinfit("SFO", ...)
+SFO <- mkinmod(parent = mkinsub("SFO"))
+
+# One parent compound, one metabolite, both single first order
+SFO_SFO <- mkinmod(
+  parent = mkinsub("SFO", "m1"),
+  m1 = mkinsub("SFO"))
+#> Temporary DLL for differentials generated and loaded
+print(SFO_SFO)
+#> <mkinmod> model generated with
+#> Use of formation fractions $use_of_ff: max 
+#> Specification $spec:
+#> $parent
+#> $type: SFO; $to: m1; $sink: TRUE
+#> $m1
+#> $type: SFO; $sink: TRUE
+#> Coefficient matrix $coefmat available
+#> Compiled model $cf available
+#> Differential equations:
+#> d_parent/dt = - k_parent * parent
+#> d_m1/dt = + f_parent_to_m1 * k_parent * parent - k_m1 * m1
+
+# \dontrun{
+ fit_sfo_sfo <- mkinfit(SFO_SFO, FOCUS_2006_D, quiet = TRUE, solution_type = "deSolve")
+
+ # Now supplying compound names used for plotting, and write to user defined location
+ # We need to choose a path outside the session tempdir because this gets removed
+ DLL_dir <- "~/.local/share/mkin"
+ if (!dir.exists(DLL_dir)) dir.create(DLL_dir)
+ SFO_SFO.2 <- mkinmod(
+   parent = mkinsub("SFO", "m1", full_name = "Test compound"),
+   m1 = mkinsub("SFO", full_name = "Metabolite M1"),
+   name = "SFO_SFO", dll_dir = DLL_dir, unload = TRUE, overwrite = TRUE)
+#> Copied DLL from /tmp/RtmpNObdrK/filecabc85d9446.so to /home/jranke/.local/share/mkin/SFO_SFO.so
+# Now we can save the model and restore it in a new session
+saveRDS(SFO_SFO.2, file = "~/SFO_SFO.rds")
+# Terminate the R session here if you would like to check, and then do
+library(mkin)
+SFO_SFO.3 <- readRDS("~/SFO_SFO.rds")
+fit_sfo_sfo <- mkinfit(SFO_SFO.3, FOCUS_2006_D, quiet = TRUE, solution_type = "deSolve")
+
+# Show details of creating the C function
+SFO_SFO <- mkinmod(
+  parent = mkinsub("SFO", "m1"),
+  m1 = mkinsub("SFO"), verbose = TRUE)
+#> Program source:
+#>   1: #include <R.h>
+#>   2: 
+#>   3: 
+#>   4: static double parms [3];
+#>   5: #define k_parent parms[0]
+#>   6: #define f_parent_to_m1 parms[1]
+#>   7: #define k_m1 parms[2]
+#>   8: 
+#>   9: void initpar(void (* odeparms)(int *, double *)) {
+#>  10:     int N = 3;
+#>  11:     odeparms(&N, parms);
+#>  12: }
+#>  13: 
+#>  14: 
+#>  15: void diffs ( int * n, double * t, double * y, double * f, double * rpar, int * ipar ) {
+#>  16: 
+#>  17: f[0] = - k_parent * y[0];
+#>  18: f[1] = + f_parent_to_m1 * k_parent * y[0] - k_m1 * y[1];
+#>  19: }
+#> Temporary DLL for differentials generated and loaded
+
+# The symbolic solution which is available in this case is not
+# made for human reading but for speed of computation
+SFO_SFO$deg_func
+#> function (observed, odeini, odeparms) 
+#> {
+#>     predicted <- numeric(0)
+#>     with(as.list(odeparms), {
+#>         t <- observed[observed$name == "parent", "time"]
+#>         predicted <<- c(predicted, SFO.solution(t, odeini["parent"], 
+#>             k_parent))
+#>         t <- observed[observed$name == "m1", "time"]
+#>         predicted <<- c(predicted, (((k_m1 - k_parent) * odeini["m1"] - 
+#>             f_parent_to_m1 * k_parent * odeini["parent"]) * exp(-k_m1 * 
+#>             t) + f_parent_to_m1 * k_parent * odeini["parent"] * 
+#>             exp(-k_parent * t))/(k_m1 - k_parent))
+#>     })
+#>     return(predicted)
+#> }
+#> <environment: 0x5555673b8fd0>
+
+# If we have several parallel metabolites
+# (compare tests/testthat/test_synthetic_data_for_UBA_2014.R)
+m_synth_DFOP_par <- mkinmod(
+ parent = mkinsub("DFOP", c("M1", "M2")),
+ M1 = mkinsub("SFO"),
+ M2 = mkinsub("SFO"),
+ quiet = TRUE)
+
+fit_DFOP_par_c <- mkinfit(m_synth_DFOP_par,
+  synthetic_data_for_UBA_2014[[12]]$data,
+  quiet = TRUE)
+# }
+
+
+
+
- - - + + diff --git a/docs/reference/mkinparplot-1.png b/docs/reference/mkinparplot-1.png index c9ed49eb..fff98391 100644 Binary files a/docs/reference/mkinparplot-1.png and b/docs/reference/mkinparplot-1.png differ diff --git a/docs/reference/mkinparplot.html b/docs/reference/mkinparplot.html index c298f5d2..2d7f6228 100644 --- a/docs/reference/mkinparplot.html +++ b/docs/reference/mkinparplot.html @@ -1,68 +1,13 @@ - - - - - - - -Function to plot the confidence intervals obtained using mkinfit — mkinparplot • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Function to plot the confidence intervals obtained using mkinfit — mkinparplot • mkin + + - - - - -
-
- -
- -
+

Function to plot the confidence intervals obtained using mkinfit

- Source: R/mkinparplot.R + Source: R/mkinparplot.R

This function plots the confidence intervals for the parameters fitted using -mkinfit.

+mkinfit.

- 
mkinparplot(object)
- -

Arguments

- - - - - - -
object

A fit represented in an mkinfit object.

- -

Value

+
+ 
mkinparplot(object)
+
+
+

Arguments

+
object
+

A fit represented in an mkinfit object.

+
+
+

Value

Nothing is returned by this function, as it is called for its side effect, namely to produce a plot.

-

Author

- +
+
+

Author

Johannes Ranke

+
-

Examples

- 

-# \dontrun{
-model <- mkinmod(
-  T245 = mkinsub("SFO", to = c("phenol"), sink = FALSE),
-  phenol = mkinsub("SFO", to = c("anisole")),
-  anisole = mkinsub("SFO"), use_of_ff = "max")
-
#> Temporary DLL for differentials generated and loaded
fit <- mkinfit(model, subset(mccall81_245T, soil == "Commerce"), quiet = TRUE)
-
#> Warning: Observations with value of zero were removed from the data
#> Warning: Optimisation did not converge:
-#> false convergence (8)
mkinparplot(fit)
-
# }
-
+
+

Examples

+ 

+# \dontrun{
+model <- mkinmod(
+  T245 = mkinsub("SFO", to = c("phenol"), sink = FALSE),
+  phenol = mkinsub("SFO", to = c("anisole")),
+  anisole = mkinsub("SFO"), use_of_ff = "max")
+#> Temporary DLL for differentials generated and loaded
+fit <- mkinfit(model, subset(mccall81_245T, soil == "Commerce"), quiet = TRUE)
+mkinparplot(fit)
+
+# }
+
+
+
-
-
-

Developed by Johannes Ranke.

+
+

Developed by Johannes Ranke.

-

Site built with pkgdown 1.6.1.

+

Site built with pkgdown 2.0.2.

-
-
+
- - + + diff --git a/docs/reference/mkinplot.html b/docs/reference/mkinplot.html index b20a8c96..896c30a0 100644 --- a/docs/reference/mkinplot.html +++ b/docs/reference/mkinplot.html @@ -1,68 +1,13 @@ - - - - - - - -Plot the observed data and the fitted model of an mkinfit object — mkinplot • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Plot the observed data and the fitted model of an mkinfit object — mkinplot • mkin - - + + - - -
-
- -
- -
+

Plot the observed data and the fitted model of an mkinfit object

- Source: R/plot.mkinfit.R + Source: R/plot.mkinfit.R

Deprecated function. It now only calls the plot method -plot.mkinfit.

+plot.mkinfit.

- 
mkinplot(fit, ...)
- -

Arguments

- - - - - - - - - - -
fit

an object of class mkinfit.

...

further arguments passed to plot.mkinfit.

- -

Value

+
+ 
mkinplot(fit, ...)
+
+
+

Arguments

+
fit
+

an object of class mkinfit.

+
...
+

further arguments passed to plot.mkinfit.

+
+
+

Value

The function is called for its side effect.

-

Author

- +
+
+

Author

Johannes Ranke

+
+
-
-
-

Developed by Johannes Ranke.

+
+

Developed by Johannes Ranke.

-

Site built with pkgdown 1.6.1.

+

Site built with pkgdown 2.0.2.

-
-
+
- - + + diff --git a/docs/reference/mkinpredict.html b/docs/reference/mkinpredict.html index 5775ba62..b52d9ece 100644 --- a/docs/reference/mkinpredict.html +++ b/docs/reference/mkinpredict.html @@ -1,69 +1,14 @@ - - - - - - - -Produce predictions from a kinetic model using specific parameters — mkinpredict • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Produce predictions from a kinetic model using specific parameters — mkinpredict • mkin - - - - - - - - - - - + + - - -
-
- -
- -
+

Produce predictions from a kinetic model using specific parameters

- Source: R/mkinpredict.R + Source: R/mkinpredict.R

This function produces a time series for all the observed variables in a -kinetic model as specified by mkinmod, using a specific set of +kinetic model as specified by mkinmod, using a specific set of kinetic parameters and initial values for the state variables.

- 
mkinpredict(x, odeparms, odeini, outtimes, ...)
-
-# S3 method for mkinmod
-mkinpredict(
-  x,
-  odeparms = c(k_parent_sink = 0.1),
-  odeini = c(parent = 100),
-  outtimes = seq(0, 120, by = 0.1),
-  solution_type = "deSolve",
-  use_compiled = "auto",
-  method.ode = "lsoda",
-  atol = 1e-08,
-  rtol = 1e-10,
-  map_output = TRUE,
-  na_stop = TRUE,
-  ...
-)
-
-# S3 method for mkinfit
-mkinpredict(
-  x,
-  odeparms = x$bparms.ode,
-  odeini = x$bparms.state,
-  outtimes = seq(0, 120, by = 0.1),
-  solution_type = "deSolve",
-  use_compiled = "auto",
-  method.ode = "lsoda",
-  atol = 1e-08,
-  rtol = 1e-10,
-  map_output = TRUE,
-  ...
-)
+
+ 
mkinpredict(x, odeparms, odeini, outtimes, ...)
+
+# S3 method for mkinmod
+mkinpredict(
+  x,
+  odeparms = c(k_parent_sink = 0.1),
+  odeini = c(parent = 100),
+  outtimes = seq(0, 120, by = 0.1),
+  solution_type = "deSolve",
+  use_compiled = "auto",
+  method.ode = "lsoda",
+  atol = 1e-08,
+  rtol = 1e-10,
+  map_output = TRUE,
+  na_stop = TRUE,
+  ...
+)
+
+# S3 method for mkinfit
+mkinpredict(
+  x,
+  odeparms = x$bparms.ode,
+  odeini = x$bparms.state,
+  outtimes = seq(0, 120, by = 0.1),
+  solution_type = "deSolve",
+  use_compiled = "auto",
+  method.ode = "lsoda",
+  atol = 1e-08,
+  rtol = 1e-10,
+  map_output = TRUE,
+  ...
+)
+
-

Arguments

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
x

A kinetic model as produced by mkinmod, or a kinetic -fit as fitted by mkinfit. In the latter case, the fitted -parameters are used for the prediction.

odeparms

A numeric vector specifying the parameters used in the +

+

Arguments

+
x
+

A kinetic model as produced by mkinmod, or a kinetic +fit as fitted by mkinfit. In the latter case, the fitted +parameters are used for the prediction.

+
odeparms
+

A numeric vector specifying the parameters used in the kinetic model, which is generally defined as a set of ordinary -differential equations.

odeini

A numeric vector containing the initial values of the state +differential equations.

+
odeini
+

A numeric vector containing the initial values of the state variables of the model. Note that the state variables can differ from the -observed variables, for example in the case of the SFORB model.

outtimes

A numeric vector specifying the time points for which model -predictions should be generated.

...

Further arguments passed to the ode solver in case such a -solver is used.

solution_type

The method that should be used for producing the +observed variables, for example in the case of the SFORB model.

+
outtimes
+

A numeric vector specifying the time points for which model +predictions should be generated.

+
...
+

Further arguments passed to the ode solver in case such a +solver is used.

+
solution_type
+

The method that should be used for producing the predictions. This should generally be "analytical" if there is only one observed variable, and usually "deSolve" in the case of several observed variables. The third possibility "eigen" is faster but not applicable to -some models e.g. using FOMC for the parent compound.

use_compiled

If set to FALSE, no compiled version of the -mkinmod model is used, even if is present.

method.ode

The solution method passed via mkinpredict +some models e.g. using FOMC for the parent compound.

+
use_compiled
+

If set to FALSE, no compiled version of the +mkinmod model is used, even if is present.

+
method.ode
+

The solution method passed via mkinpredict to ode in case the solution type is "deSolve". The default -"lsoda" is performant, but sometimes fails to converge.

atol

Absolute error tolerance, passed to ode. Default -is 1e-8, lower than in lsoda.

rtol

Absolute error tolerance, passed to ode. Default -is 1e-10, much lower than in lsoda.

map_output

Boolean to specify if the output should list values for +"lsoda" is performant, but sometimes fails to converge.

+
atol
+

Absolute error tolerance, passed to ode. Default +is 1e-8, lower than in lsoda.

+
rtol
+

Absolute error tolerance, passed to ode. Default +is 1e-10, much lower than in lsoda.

+
map_output
+

Boolean to specify if the output should list values for the observed variables (default) or for all state variables (if set to FALSE). Setting this to FALSE has no effect for analytical solutions, -as these always return mapped output.

na_stop

Should it be an error if deSolve::ode returns NaN values

- -

Value

- +as these always return mapped output.

+
na_stop
+

Should it be an error if deSolve::ode returns NaN values

+
+
+

Value

A matrix with the numeric solution in wide format

-

Author

- +
+
+

Author

Johannes Ranke

+
-

Examples

- 

-SFO <- mkinmod(degradinol = mkinsub("SFO"))
-# Compare solution types
-mkinpredict(SFO, c(k_degradinol = 0.3), c(degradinol = 100), 0:20,
-      solution_type = "analytical")
-
#>    time  degradinol
-#> 0     0 100.0000000
-#> 1     1  74.0818221
-#> 2     2  54.8811636
-#> 3     3  40.6569660
-#> 4     4  30.1194212
-#> 5     5  22.3130160
-#> 6     6  16.5298888
-#> 7     7  12.2456428
-#> 8     8   9.0717953
-#> 9     9   6.7205513
-#> 10   10   4.9787068
-#> 11   11   3.6883167
-#> 12   12   2.7323722
-#> 13   13   2.0241911
-#> 14   14   1.4995577
-#> 15   15   1.1108997
-#> 16   16   0.8229747
-#> 17   17   0.6096747
-#> 18   18   0.4516581
-#> 19   19   0.3345965
-#> 20   20   0.2478752
mkinpredict(SFO, c(k_degradinol = 0.3), c(degradinol = 100), 0:20,
-      solution_type = "deSolve")
-
#>    time  degradinol
-#> 0     0 100.0000000
-#> 1     1  74.0818221
-#> 2     2  54.8811636
-#> 3     3  40.6569660
-#> 4     4  30.1194212
-#> 5     5  22.3130160
-#> 6     6  16.5298888
-#> 7     7  12.2456428
-#> 8     8   9.0717953
-#> 9     9   6.7205513
-#> 10   10   4.9787068
-#> 11   11   3.6883167
-#> 12   12   2.7323722
-#> 13   13   2.0241911
-#> 14   14   1.4995577
-#> 15   15   1.1108996
-#> 16   16   0.8229747
-#> 17   17   0.6096747
-#> 18   18   0.4516581
-#> 19   19   0.3345965
-#> 20   20   0.2478752
mkinpredict(SFO, c(k_degradinol = 0.3), c(degradinol = 100), 0:20,
-      solution_type = "deSolve", use_compiled = FALSE)
-
#>    time  degradinol
-#> 0     0 100.0000000
-#> 1     1  74.0818221
-#> 2     2  54.8811636
-#> 3     3  40.6569660
-#> 4     4  30.1194212
-#> 5     5  22.3130160
-#> 6     6  16.5298888
-#> 7     7  12.2456428
-#> 8     8   9.0717953
-#> 9     9   6.7205513
-#> 10   10   4.9787068
-#> 11   11   3.6883167
-#> 12   12   2.7323722
-#> 13   13   2.0241911
-#> 14   14   1.4995577
-#> 15   15   1.1108996
-#> 16   16   0.8229747
-#> 17   17   0.6096747
-#> 18   18   0.4516581
-#> 19   19   0.3345965
-#> 20   20   0.2478752
mkinpredict(SFO, c(k_degradinol = 0.3), c(degradinol = 100), 0:20,
-      solution_type = "eigen")
-
#>    time  degradinol
-#> 0     0 100.0000000
-#> 1     1  74.0818221
-#> 2     2  54.8811636
-#> 3     3  40.6569660
-#> 4     4  30.1194212
-#> 5     5  22.3130160
-#> 6     6  16.5298888
-#> 7     7  12.2456428
-#> 8     8   9.0717953
-#> 9     9   6.7205513
-#> 10   10   4.9787068
-#> 11   11   3.6883167
-#> 12   12   2.7323722
-#> 13   13   2.0241911
-#> 14   14   1.4995577
-#> 15   15   1.1108997
-#> 16   16   0.8229747
-#> 17   17   0.6096747
-#> 18   18   0.4516581
-#> 19   19   0.3345965
-#> 20   20   0.2478752

-# Compare integration methods to analytical solution
-mkinpredict(SFO, c(k_degradinol = 0.3), c(degradinol = 100), 0:20,
-      solution_type = "analytical")[21,]
-
#>       time degradinol 
-#> 20.0000000  0.2478752 
mkinpredict(SFO, c(k_degradinol = 0.3), c(degradinol = 100), 0:20,
-      method = "lsoda")[21,]
-
#>       time degradinol 
-#> 20.0000000  0.2478752 
mkinpredict(SFO, c(k_degradinol = 0.3), c(degradinol = 100), 0:20,
-      method = "ode45")[21,]
-
#>       time degradinol 
-#> 20.0000000  0.2478752 
mkinpredict(SFO, c(k_degradinol = 0.3), c(degradinol = 100), 0:20,
-      method = "rk4")[21,]
-
#>       time degradinol 
-#> 20.0000000  0.2480043 
# rk4 is not as precise here
-
-# The number of output times used to make a lot of difference until the
-# default for atol was adjusted
-mkinpredict(SFO, c(k_degradinol = 0.3), c(degradinol = 100),
-      seq(0, 20, by = 0.1))[201,]
-
#>       time degradinol 
-#> 20.0000000  0.2478752 
mkinpredict(SFO, c(k_degradinol = 0.3), c(degradinol = 100),
-      seq(0, 20, by = 0.01))[2001,]
-
#>       time degradinol 
-#> 20.0000000  0.2478752 

-# Comparison of the performance of solution types
-SFO_SFO = mkinmod(parent = list(type = "SFO", to = "m1"),
-                  m1 = list(type = "SFO"), use_of_ff = "max")
-
#> Temporary DLL for differentials generated and loaded
if(require(rbenchmark)) {
-  benchmark(replications = 10, order = "relative", columns = c("test", "relative", "elapsed"),
-    eigen = mkinpredict(SFO_SFO,
-      c(k_parent = 0.15, f_parent_to_m1 = 0.5, k_m1 = 0.01),
-      c(parent = 100, m1 = 0), seq(0, 20, by = 0.1),
-      solution_type = "eigen")[201,],
-    deSolve_compiled = mkinpredict(SFO_SFO,
-      c(k_parent = 0.15, f_parent_to_m1 = 0.5, k_m1 = 0.01),
-      c(parent = 100, m1 = 0), seq(0, 20, by = 0.1),
-      solution_type = "deSolve")[201,],
-    deSolve = mkinpredict(SFO_SFO,
-      c(k_parent = 0.15, f_parent_to_m1 = 0.5, k_m1 = 0.01),
-      c(parent = 100, m1 = 0), seq(0, 20, by = 0.1),
-      solution_type = "deSolve", use_compiled = FALSE)[201,],
-    analytical = mkinpredict(SFO_SFO,
-      c(k_parent = 0.15, f_parent_to_m1 = 0.5, k_m1 = 0.01),
-      c(parent = 100, m1 = 0), seq(0, 20, by = 0.1),
-      solution_type = "analytical", use_compiled = FALSE)[201,])
-}
-
#>               test relative elapsed
-#> 2 deSolve_compiled      1.0   0.005
-#> 4       analytical      1.0   0.005
-#> 1            eigen      4.0   0.020
-#> 3          deSolve     46.2   0.231

-# \dontrun{
-  # Predict from a fitted model
-  f <- mkinfit(SFO_SFO, FOCUS_2006_C, quiet = TRUE)
-  f <- mkinfit(SFO_SFO, FOCUS_2006_C, quiet = TRUE, solution_type = "deSolve")
-  head(mkinpredict(f))
-
#>     time   parent       m1
-#> 0    0.0 82.49216 0.000000
-#> 0.1  0.1 80.00562 1.236394
-#> 0.2  0.2 77.59404 2.423201
-#> 0.3  0.3 75.25514 3.562040
-#> 0.4  0.4 72.98675 4.654478
-#> 0.5  0.5 70.78673 5.702033
# }
-
-
+
+

Examples

+ 

+SFO <- mkinmod(degradinol = mkinsub("SFO"))
+# Compare solution types
+mkinpredict(SFO, c(k_degradinol = 0.3), c(degradinol = 100), 0:20,
+      solution_type = "analytical")
+#>    time  degradinol
+#> 0     0 100.0000000
+#> 1     1  74.0818221
+#> 2     2  54.8811636
+#> 3     3  40.6569660
+#> 4     4  30.1194212
+#> 5     5  22.3130160
+#> 6     6  16.5298888
+#> 7     7  12.2456428
+#> 8     8   9.0717953
+#> 9     9   6.7205513
+#> 10   10   4.9787068
+#> 11   11   3.6883167
+#> 12   12   2.7323722
+#> 13   13   2.0241911
+#> 14   14   1.4995577
+#> 15   15   1.1108997
+#> 16   16   0.8229747
+#> 17   17   0.6096747
+#> 18   18   0.4516581
+#> 19   19   0.3345965
+#> 20   20   0.2478752
+mkinpredict(SFO, c(k_degradinol = 0.3), c(degradinol = 100), 0:20,
+      solution_type = "deSolve")
+#>    time  degradinol
+#> 0     0 100.0000000
+#> 1     1  74.0818221
+#> 2     2  54.8811636
+#> 3     3  40.6569660
+#> 4     4  30.1194212
+#> 5     5  22.3130160
+#> 6     6  16.5298888
+#> 7     7  12.2456428
+#> 8     8   9.0717953
+#> 9     9   6.7205513
+#> 10   10   4.9787068
+#> 11   11   3.6883167
+#> 12   12   2.7323722
+#> 13   13   2.0241911
+#> 14   14   1.4995577
+#> 15   15   1.1108996
+#> 16   16   0.8229747
+#> 17   17   0.6096747
+#> 18   18   0.4516581
+#> 19   19   0.3345965
+#> 20   20   0.2478752
+mkinpredict(SFO, c(k_degradinol = 0.3), c(degradinol = 100), 0:20,
+      solution_type = "deSolve", use_compiled = FALSE)
+#>    time  degradinol
+#> 0     0 100.0000000
+#> 1     1  74.0818221
+#> 2     2  54.8811636
+#> 3     3  40.6569660
+#> 4     4  30.1194212
+#> 5     5  22.3130160
+#> 6     6  16.5298888
+#> 7     7  12.2456428
+#> 8     8   9.0717953
+#> 9     9   6.7205513
+#> 10   10   4.9787068
+#> 11   11   3.6883167
+#> 12   12   2.7323722
+#> 13   13   2.0241911
+#> 14   14   1.4995577
+#> 15   15   1.1108996
+#> 16   16   0.8229747
+#> 17   17   0.6096747
+#> 18   18   0.4516581
+#> 19   19   0.3345965
+#> 20   20   0.2478752
+mkinpredict(SFO, c(k_degradinol = 0.3), c(degradinol = 100), 0:20,
+      solution_type = "eigen")
+#>    time  degradinol
+#> 0     0 100.0000000
+#> 1     1  74.0818221
+#> 2     2  54.8811636
+#> 3     3  40.6569660
+#> 4     4  30.1194212
+#> 5     5  22.3130160
+#> 6     6  16.5298888
+#> 7     7  12.2456428
+#> 8     8   9.0717953
+#> 9     9   6.7205513
+#> 10   10   4.9787068
+#> 11   11   3.6883167
+#> 12   12   2.7323722
+#> 13   13   2.0241911
+#> 14   14   1.4995577
+#> 15   15   1.1108997
+#> 16   16   0.8229747
+#> 17   17   0.6096747
+#> 18   18   0.4516581
+#> 19   19   0.3345965
+#> 20   20   0.2478752
+
+# Compare integration methods to analytical solution
+mkinpredict(SFO, c(k_degradinol = 0.3), c(degradinol = 100), 0:20,
+      solution_type = "analytical")[21,]
+#>       time degradinol 
+#> 20.0000000  0.2478752 
+mkinpredict(SFO, c(k_degradinol = 0.3), c(degradinol = 100), 0:20,
+      method = "lsoda")[21,]
+#>       time degradinol 
+#> 20.0000000  0.2478752 
+mkinpredict(SFO, c(k_degradinol = 0.3), c(degradinol = 100), 0:20,
+      method = "ode45")[21,]
+#>       time degradinol 
+#> 20.0000000  0.2478752 
+mkinpredict(SFO, c(k_degradinol = 0.3), c(degradinol = 100), 0:20,
+      method = "rk4")[21,]
+#>       time degradinol 
+#> 20.0000000  0.2480043 
+# rk4 is not as precise here
+
+# The number of output times used to make a lot of difference until the
+# default for atol was adjusted
+mkinpredict(SFO, c(k_degradinol = 0.3), c(degradinol = 100),
+      seq(0, 20, by = 0.1))[201,]
+#>       time degradinol 
+#> 20.0000000  0.2478752 
+mkinpredict(SFO, c(k_degradinol = 0.3), c(degradinol = 100),
+      seq(0, 20, by = 0.01))[2001,]
+#>       time degradinol 
+#> 20.0000000  0.2478752 
+
+# Comparison of the performance of solution types
+SFO_SFO = mkinmod(parent = list(type = "SFO", to = "m1"),
+                  m1 = list(type = "SFO"), use_of_ff = "max")
+#> Temporary DLL for differentials generated and loaded
+if(require(rbenchmark)) {
+  benchmark(replications = 10, order = "relative", columns = c("test", "relative", "elapsed"),
+    eigen = mkinpredict(SFO_SFO,
+      c(k_parent = 0.15, f_parent_to_m1 = 0.5, k_m1 = 0.01),
+      c(parent = 100, m1 = 0), seq(0, 20, by = 0.1),
+      solution_type = "eigen")[201,],
+    deSolve_compiled = mkinpredict(SFO_SFO,
+      c(k_parent = 0.15, f_parent_to_m1 = 0.5, k_m1 = 0.01),
+      c(parent = 100, m1 = 0), seq(0, 20, by = 0.1),
+      solution_type = "deSolve")[201,],
+    deSolve = mkinpredict(SFO_SFO,
+      c(k_parent = 0.15, f_parent_to_m1 = 0.5, k_m1 = 0.01),
+      c(parent = 100, m1 = 0), seq(0, 20, by = 0.1),
+      solution_type = "deSolve", use_compiled = FALSE)[201,],
+    analytical = mkinpredict(SFO_SFO,
+      c(k_parent = 0.15, f_parent_to_m1 = 0.5, k_m1 = 0.01),
+      c(parent = 100, m1 = 0), seq(0, 20, by = 0.1),
+      solution_type = "analytical", use_compiled = FALSE)[201,])
+}
+#>               test relative elapsed
+#> 4       analytical      1.0   0.005
+#> 2 deSolve_compiled      1.2   0.006
+#> 1            eigen      4.2   0.021
+#> 3          deSolve     40.8   0.204
+
+# \dontrun{
+  # Predict from a fitted model
+  f <- mkinfit(SFO_SFO, FOCUS_2006_C, quiet = TRUE)
+  f <- mkinfit(SFO_SFO, FOCUS_2006_C, quiet = TRUE, solution_type = "deSolve")
+  head(mkinpredict(f))
+#>     time   parent       m1
+#> 0    0.0 82.49216 0.000000
+#> 0.1  0.1 80.00562 1.236394
+#> 0.2  0.2 77.59404 2.423201
+#> 0.3  0.3 75.25514 3.562040
+#> 0.4  0.4 72.98675 4.654478
+#> 0.5  0.5 70.78673 5.702033
+# }
+
+
+
+
- - - + + diff --git a/docs/reference/mkinresplot-1.png b/docs/reference/mkinresplot-1.png index 963aa5b7..97ccd762 100644 Binary files a/docs/reference/mkinresplot-1.png and b/docs/reference/mkinresplot-1.png differ diff --git a/docs/reference/mkinresplot.html b/docs/reference/mkinresplot.html index fe3150e7..54d612ef 100644 --- a/docs/reference/mkinresplot.html +++ b/docs/reference/mkinresplot.html @@ -1,70 +1,15 @@ - - - - - - - -Function to plot residuals stored in an mkin object — mkinresplot • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Function to plot residuals stored in an mkin object — mkinresplot • mkin - - - - - - - - - - + + - - - -
-
- -
- -
+

Function to plot residuals stored in an mkin object

- Source: R/mkinresplot.R + Source: R/mkinresplot.R

This function plots the residuals for the specified subset of the observed variables from an mkinfit object. A combined plot of the fitted model and -the residuals can be obtained using plot.mkinfit using the +the residuals can be obtained using plot.mkinfit using the argument show_residuals = TRUE.

- 
mkinresplot(
-  object,
-  obs_vars = names(object$mkinmod$map),
-  xlim = c(0, 1.1 * max(object$data$time)),
-  standardized = FALSE,
-  xlab = "Time",
-  ylab = ifelse(standardized, "Standardized residual", "Residual"),
-  maxabs = "auto",
-  legend = TRUE,
-  lpos = "topright",
-  col_obs = "auto",
-  pch_obs = "auto",
-  frame = TRUE,
-  ...
-)
+
+ 
mkinresplot(
+  object,
+  obs_vars = names(object$mkinmod$map),
+  xlim = c(0, 1.1 * max(object$data$time)),
+  standardized = FALSE,
+  xlab = "Time",
+  ylab = ifelse(standardized, "Standardized residual", "Residual"),
+  maxabs = "auto",
+  legend = TRUE,
+  lpos = "topright",
+  col_obs = "auto",
+  pch_obs = "auto",
+  frame = TRUE,
+  ...
+)
+
-

Arguments

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
object

A fit represented in an mkinfit object.

obs_vars

A character vector of names of the observed variables for +

+

Arguments

+
object
+

A fit represented in an mkinfit object.

+
obs_vars
+

A character vector of names of the observed variables for which residuals should be plotted. Defaults to all observed variables in -the model

xlim

plot range in x direction.

standardized

Should the residuals be standardized by dividing by the -standard deviation given by the error model of the fit?

xlab

Label for the x axis.

ylab

Label for the y axis.

maxabs

Maximum absolute value of the residuals. This is used for the -scaling of the y axis and defaults to "auto".

legend

Should a legend be plotted?

lpos

Where should the legend be placed? Default is "topright". Will -be passed on to legend.

col_obs

Colors for the observed variables.

pch_obs

Symbols to be used for the observed variables.

frame

Should a frame be drawn around the plots?

...

further arguments passed to plot.

- -

Value

- +the model

+
xlim
+

plot range in x direction.

+
standardized
+

Should the residuals be standardized by dividing by the +standard deviation given by the error model of the fit?

+
xlab
+

Label for the x axis.

+
ylab
+

Label for the y axis.

+
maxabs
+

Maximum absolute value of the residuals. This is used for the +scaling of the y axis and defaults to "auto".

+
legend
+

Should a legend be plotted?

+
lpos
+

Where should the legend be placed? Default is "topright". Will +be passed on to legend.

+
col_obs
+

Colors for the observed variables.

+
pch_obs
+

Symbols to be used for the observed variables.

+
frame
+

Should a frame be drawn around the plots?

+
...
+

further arguments passed to plot.

+
+
+

Value

Nothing is returned by this function, as it is called for its side effect, namely to produce a plot.

-

See also

- -

mkinplot, for a way to plot the data and the fitted -lines of the mkinfit object, and plot_res for a function +

+
+

See also

+

mkinplot, for a way to plot the data and the fitted +lines of the mkinfit object, and plot_res for a function combining the plot of the fit and the residual plot.

-

Author

- +
+
+

Author

Johannes Ranke and Katrin Lindenberger

+
-

Examples

- 

-model <- mkinmod(parent = mkinsub("SFO", "m1"), m1 = mkinsub("SFO"))
-
#> Temporary DLL for differentials generated and loaded
fit <- mkinfit(model, FOCUS_2006_D, quiet = TRUE)
-
#> Warning: Observations with value of zero were removed from the data
mkinresplot(fit, "m1")
-

-
+
+

Examples

+ 

+model <- mkinmod(parent = mkinsub("SFO", "m1"), m1 = mkinsub("SFO"))
+#> Temporary DLL for differentials generated and loaded
+fit <- mkinfit(model, FOCUS_2006_D, quiet = TRUE)
+mkinresplot(fit, "m1")
+
+
+
+
+
-
-
-

Developed by Johannes Ranke.

+
+

Developed by Johannes Ranke.

-

Site built with pkgdown 1.6.1.

+

Site built with pkgdown 2.0.2.

-
-
+
- - + + diff --git a/docs/reference/mmkin-1.png b/docs/reference/mmkin-1.png index 701a6d6a..8ad9c11d 100644 Binary files a/docs/reference/mmkin-1.png and b/docs/reference/mmkin-1.png differ diff --git a/docs/reference/mmkin-2.png b/docs/reference/mmkin-2.png index 5277b389..da2a48a8 100644 Binary files a/docs/reference/mmkin-2.png and b/docs/reference/mmkin-2.png differ diff --git a/docs/reference/mmkin-3.png b/docs/reference/mmkin-3.png index 2659cd61..10d3f35b 100644 Binary files a/docs/reference/mmkin-3.png and b/docs/reference/mmkin-3.png differ diff --git a/docs/reference/mmkin-4.png b/docs/reference/mmkin-4.png index ae16ee79..132380a8 100644 Binary files a/docs/reference/mmkin-4.png and b/docs/reference/mmkin-4.png differ diff --git a/docs/reference/mmkin-5.png b/docs/reference/mmkin-5.png index 2b9dc831..4bfcc55e 100644 Binary files a/docs/reference/mmkin-5.png and b/docs/reference/mmkin-5.png differ diff --git a/docs/reference/mmkin.html b/docs/reference/mmkin.html index d7989c6b..4012df67 100644 --- a/docs/reference/mmkin.html +++ b/docs/reference/mmkin.html @@ -1,70 +1,15 @@ - - - - - - - -Fit one or more kinetic models with one or more state variables to one or -more datasets — mmkin • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Fit one or more kinetic models with one or more state variables to one or +more datasets — mmkin • mkin - - - - + + -
-
- -
- -
+

Fit one or more kinetic models with one or more state variables to one or more datasets

- Source: R/mmkin.R + Source: R/mmkin.R
-

This function calls mkinfit on all combinations of models and +

This function calls mkinfit on all combinations of models and datasets specified in its first two arguments.

- 
mmkin(
-  models = c("SFO", "FOMC", "DFOP"),
-  datasets,
-  cores = if (Sys.info()["sysname"] == "Windows") 1 else parallel::detectCores(),
-  cluster = NULL,
-  ...
-)
-
-# S3 method for mmkin
-print(x, ...)
+
+ 
mmkin(
+  models = c("SFO", "FOMC", "DFOP"),
+  datasets,
+  cores = if (Sys.info()["sysname"] == "Windows") 1 else parallel::detectCores(),
+  cluster = NULL,
+  ...
+)
+
+# S3 method for mmkin
+print(x, ...)
+
-

Arguments

- - - - - - - - - - - - - - - - - - - - - - - - - - -
models

Either a character vector of shorthand names like -c("SFO", "FOMC", "DFOP", "HS", "SFORB"), or an optionally named -list of mkinmod objects.

datasets

An optionally named list of datasets suitable as observed -data for mkinfit.

cores

The number of cores to be used for multicore processing. This +

+

Arguments

+
models
+

Either a character vector of shorthand names like +c("SFO", "FOMC", "DFOP", "HS", "SFORB"), or an optionally named +list of mkinmod objects.

+
datasets
+

An optionally named list of datasets suitable as observed +data for mkinfit.

+
cores
+

The number of cores to be used for multicore processing. This is only used when the cluster argument is NULL. On Windows machines, cores > 1 is not supported, you need to use the cluster argument to use multiple logical processors. Per default, all cores -detected by parallel::detectCores() are used, except on Windows where -the default is 1.

cluster

A cluster as returned by makeCluster to be used -for parallel execution.

...

Not used.

x

An mmkin object.

- -

Value

- -

A two-dimensional array of mkinfit -objects and/or try-errors that can be indexed using the model names for the +detected by parallel::detectCores() are used, except on Windows where +the default is 1.

+
cluster
+

A cluster as returned by makeCluster to be used +for parallel execution.

+
...
+

Not used.

+
x
+

An mmkin object.

+
+
+

Value

+

A two-dimensional array of mkinfitobjects and/or try-errors that can be indexed using the model names for the first index (row index) and the dataset names for the second index (column index).

-

See also

- -

[.mmkin for subsetting, plot.mmkin for +

+
+

See also

+

[.mmkin for subsetting, plot.mmkin for plotting.

-

Author

- +
+
+

Author

Johannes Ranke

+
-

Examples

- 

-# \dontrun{
-m_synth_SFO_lin <- mkinmod(parent = mkinsub("SFO", "M1"),
-                           M1 = mkinsub("SFO", "M2"),
-                           M2 = mkinsub("SFO"), use_of_ff = "max")
-
#> Temporary DLL for differentials generated and loaded

-m_synth_FOMC_lin <- mkinmod(parent = mkinsub("FOMC", "M1"),
-                            M1 = mkinsub("SFO", "M2"),
-                            M2 = mkinsub("SFO"), use_of_ff = "max")
-
#> Temporary DLL for differentials generated and loaded

-models <- list(SFO_lin = m_synth_SFO_lin, FOMC_lin = m_synth_FOMC_lin)
-datasets <- lapply(synthetic_data_for_UBA_2014[1:3], function(x) x$data)
-names(datasets) <- paste("Dataset", 1:3)
-
-time_default <- system.time(fits.0 <- mmkin(models, datasets, quiet = TRUE))
-time_1 <- system.time(fits.4 <- mmkin(models, datasets, cores = 1, quiet = TRUE))
-
-time_default
-
#>    user  system elapsed 
-#>   4.491   0.397   1.634 
time_1
-
#>    user  system elapsed 
-#>   5.491   0.000   5.492 

-endpoints(fits.0[["SFO_lin", 2]])
-
#> $ff
-#>   parent_M1 parent_sink       M1_M2     M1_sink 
-#>   0.7340481   0.2659519   0.7505683   0.2494317 
-#> 
-#> $distimes
-#>             DT50       DT90
-#> parent  0.877769   2.915885
-#> M1      2.325744   7.725956
-#> M2     33.720100 112.015749
-#> 

-# plot.mkinfit handles rows or columns of mmkin result objects
-plot(fits.0[1, ])
-
plot(fits.0[1, ], obs_var = c("M1", "M2"))
-
plot(fits.0[, 1])
-
# Use double brackets to extract a single mkinfit object, which will be plotted
-# by plot.mkinfit and can be plotted using plot_sep
-plot(fits.0[[1, 1]], sep_obs = TRUE, show_residuals = TRUE, show_errmin = TRUE)
-
plot_sep(fits.0[[1, 1]])
-# Plotting with mmkin (single brackets, extracting an mmkin object) does not
-# allow to plot the observed variables separately
-plot(fits.0[1, 1])
-

-# On Windows, we can use multiple cores by making a cluster using the parallel
-# package, which gets loaded with mkin, and passing it to mmkin, e.g.
-cl <- makePSOCKcluster(12)
-f <- mmkin(c("SFO", "FOMC", "DFOP"),
-  list(A = FOCUS_2006_A, B = FOCUS_2006_B, C = FOCUS_2006_C, D = FOCUS_2006_D),
-  cluster = cl, quiet = TRUE)
-print(f)
-
#> <mmkin> object
-#> Status of individual fits:
-#> 
-#>       dataset
-#> model  A  B  C  D 
-#>   SFO  OK OK OK OK
-#>   FOMC OK OK OK OK
-#>   DFOP OK OK OK OK
-#> 
-#> OK: No warnings
# We get false convergence for the FOMC fit to FOCUS_2006_A because this
-# dataset is really SFO, and the FOMC fit is overparameterised
-stopCluster(cl)
-# }
-
-
+
+

Examples

+ 

+# \dontrun{
+m_synth_SFO_lin <- mkinmod(parent = mkinsub("SFO", "M1"),
+                           M1 = mkinsub("SFO", "M2"),
+                           M2 = mkinsub("SFO"), use_of_ff = "max")
+#> Temporary DLL for differentials generated and loaded
+
+m_synth_FOMC_lin <- mkinmod(parent = mkinsub("FOMC", "M1"),
+                            M1 = mkinsub("SFO", "M2"),
+                            M2 = mkinsub("SFO"), use_of_ff = "max")
+#> Temporary DLL for differentials generated and loaded
+
+models <- list(SFO_lin = m_synth_SFO_lin, FOMC_lin = m_synth_FOMC_lin)
+datasets <- lapply(synthetic_data_for_UBA_2014[1:3], function(x) x$data)
+names(datasets) <- paste("Dataset", 1:3)
+
+time_default <- system.time(fits.0 <- mmkin(models, datasets, quiet = TRUE))
+time_1 <- system.time(fits.4 <- mmkin(models, datasets, cores = 1, quiet = TRUE))
+
+time_default
+#>    user  system elapsed 
+#>   6.055   1.405   2.191 
+time_1
+#>    user  system elapsed 
+#>   6.746   0.004   6.750 
+
+endpoints(fits.0[["SFO_lin", 2]])
+#> $ff
+#>   parent_M1 parent_sink       M1_M2     M1_sink 
+#>   0.7340481   0.2659519   0.7505683   0.2494317 
+#> 
+#> $distimes
+#>             DT50       DT90
+#> parent  0.877769   2.915885
+#> M1      2.325744   7.725956
+#> M2     33.720100 112.015749
+#> 
+
+# plot.mkinfit handles rows or columns of mmkin result objects
+plot(fits.0[1, ])
+
+plot(fits.0[1, ], obs_var = c("M1", "M2"))
+
+plot(fits.0[, 1])
+
+# Use double brackets to extract a single mkinfit object, which will be plotted
+# by plot.mkinfit and can be plotted using plot_sep
+plot(fits.0[[1, 1]], sep_obs = TRUE, show_residuals = TRUE, show_errmin = TRUE)
+
+plot_sep(fits.0[[1, 1]])
+# Plotting with mmkin (single brackets, extracting an mmkin object) does not
+# allow to plot the observed variables separately
+plot(fits.0[1, 1])
+
+
+# On Windows, we can use multiple cores by making a cluster using the parallel
+# package, which gets loaded with mkin, and passing it to mmkin, e.g.
+cl <- makePSOCKcluster(12)
+f <- mmkin(c("SFO", "FOMC", "DFOP"),
+  list(A = FOCUS_2006_A, B = FOCUS_2006_B, C = FOCUS_2006_C, D = FOCUS_2006_D),
+  cluster = cl, quiet = TRUE)
+print(f)
+#> <mmkin> object
+#> Status of individual fits:
+#> 
+#>       dataset
+#> model  A  B  C  D 
+#>   SFO  OK OK OK OK
+#>   FOMC OK OK OK OK
+#>   DFOP OK OK OK OK
+#> 
+#> OK: No warnings
+# We get false convergence for the FOMC fit to FOCUS_2006_A because this
+# dataset is really SFO, and the FOMC fit is overparameterised
+stopCluster(cl)
+# }
+
+
+
+
-
-
-

Developed by Johannes Ranke.

+
+

Developed by Johannes Ranke.

-

Site built with pkgdown 1.6.1.

+

Site built with pkgdown 2.0.2.

-
-
+
- - + + diff --git a/docs/reference/nafta-1.png b/docs/reference/nafta-1.png index 4f0d7833..5d2d434b 100644 Binary files a/docs/reference/nafta-1.png and b/docs/reference/nafta-1.png differ diff --git a/docs/reference/nafta.html b/docs/reference/nafta.html index 29e03251..28e44864 100644 --- a/docs/reference/nafta.html +++ b/docs/reference/nafta.html @@ -1,71 +1,16 @@ - - - - - - - -Evaluate parent kinetics using the NAFTA guidance — nafta • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Evaluate parent kinetics using the NAFTA guidance — nafta • mkin - - - - - - - - - - - - - + + -
-
- -
- -
+

Evaluate parent kinetics using the NAFTA guidance

- Source: R/nafta.R + Source: R/nafta.R
-

The function fits the SFO, IORE and DFOP models using mmkin +

The function fits the SFO, IORE and DFOP models using mmkin and returns an object of class nafta that has methods for printing and plotting.

Print nafta objects. The results for the three models are printed in the order of increasing model complexity, i.e. SFO, then IORE, and finally DFOP.

- 
nafta(ds, title = NA, quiet = FALSE, ...)
+    

+    
nafta(ds, title = NA, quiet = FALSE, ...)
 
-# S3 method for nafta
-print(x, quiet = TRUE, digits = 3, ...)

-
-    
Arguments

-    
-    
-    
-      
-      
-    
-    
-      
-      
-    
-    
-      
-      
-    
-    
-      
-      
-    
-    
-      
-      
-    
-    
-      
-      
-    
-    
ds
A dataframe that must contain one variable called "time" with the
-time values specified by the time argument, one column called
-"name" with the grouping of the observed values, and finally one column of
-observed values called "value".
title
Optional title of the dataset
quiet
Should the evaluation text be shown?
...
Further arguments passed to mmkin (not for the
-printing method).
x
An nafta object.
digits
Number of digits to be used for printing parameters and
-dissipation times.

-
-    
Source

+# S3 method for nafta
+print(x, quiet = TRUE, digits = 3, ...)
+
+
+

Source

NAFTA (2011) Guidance for evaluating and calculating degradation kinetics in environmental media. NAFTA Technical Working Group on Pesticides -https://www.epa.gov/pesticide-science-and-assessing-pesticide-risks/guidance-evaluating-and-calculating-degradation +https://www.epa.gov/pesticide-science-and-assessing-pesticide-risks/guidance-evaluating-and-calculating-degradation accessed 2019-02-22

US EPA (2015) Standard Operating Procedure for Using the NAFTA Guidance to Calculate Representative Half-life Values and Characterizing Pesticide Degradation -https://www.epa.gov/pesticide-science-and-assessing-pesticide-risks/standard-operating-procedure-using-nafta-guidance

-

Value

- +https://www.epa.gov/pesticide-science-and-assessing-pesticide-risks/standard-operating-procedure-using-nafta-guidance

+
+
+

Arguments

+
ds
+

A dataframe that must contain one variable called "time" with the +time values specified by the time argument, one column called +"name" with the grouping of the observed values, and finally one column of +observed values called "value".

+
title
+

Optional title of the dataset

+
quiet
+

Should the evaluation text be shown?

+
...
+

Further arguments passed to mmkin (not for the +printing method).

+
x
+

An nafta object.

+
digits
+

Number of digits to be used for printing parameters and +dissipation times.

+
+
+

Value

An list of class nafta. The list element named "mmkin" is the -mmkin object containing the fits of the three models. The +mmkin object containing the fits of the three models. The list element named "title" contains the title of the dataset used. The list element "data" contains the dataset used in the fits.

-

Author

- +
+
+

Author

Johannes Ranke

+
-

Examples

- 

-  nafta_evaluation <- nafta(NAFTA_SOP_Appendix_D, cores = 1)
-
#> The SFO model is rejected as S_SFO is equal or higher than the critical value S_c
#> The representative half-life of the IORE model is longer than the one corresponding
#> to the terminal degradation rate found with the DFOP model.
#> The representative half-life obtained from the DFOP model may be used
  print(nafta_evaluation)
-
#> Sums of squares:
-#>       SFO      IORE      DFOP 
-#> 1378.6832  615.7730  517.8836 
-#> 
-#> Critical sum of squares for checking the SFO model:
-#> [1] 717.4598
-#> 
-#> Parameters:
-#> $SFO
-#>          Estimate   Pr(>t)    Lower   Upper
-#> parent_0  83.7558 1.80e-14 77.18268 90.3288
-#> k_parent   0.0017 7.43e-05  0.00112  0.0026
-#> sigma      8.7518 1.22e-05  5.64278 11.8608
-#> 
-#> $IORE
-#>                Estimate Pr(>t)    Lower    Upper
-#> parent_0       9.69e+01     NA 8.88e+01 1.05e+02
-#> k__iore_parent 8.40e-14     NA 1.79e-18 3.94e-09
-#> N_parent       6.68e+00     NA 4.19e+00 9.17e+00
-#> sigma          5.85e+00     NA 3.76e+00 7.94e+00
-#> 
-#> $DFOP
-#>          Estimate   Pr(>t)    Lower    Upper
-#> parent_0 9.76e+01 1.94e-13 9.02e+01 1.05e+02
-#> k1       4.24e-02 5.92e-03 2.03e-02 8.88e-02
-#> k2       8.24e-04 6.48e-03 3.89e-04 1.75e-03
-#> g        2.88e-01 2.47e-05 1.95e-01 4.03e-01
-#> sigma    5.36e+00 2.22e-05 3.43e+00 7.30e+00
-#> 
-#> 
-#> DTx values:
-#>      DT50    DT90 DT50_rep
-#> SFO   407    1350      407
-#> IORE  541 5190000  1560000
-#> DFOP  429    2380      841
-#> 
-#> Representative half-life:
-#> [1] 841.41
  plot(nafta_evaluation)
-

-
+
+

Examples

+ 

+  nafta_evaluation <- nafta(NAFTA_SOP_Appendix_D, cores = 1)
+#> The SFO model is rejected as S_SFO is equal or higher than the critical value S_c
+#> The representative half-life of the IORE model is longer than the one corresponding
+#> to the terminal degradation rate found with the DFOP model.
+#> The representative half-life obtained from the DFOP model may be used
+  print(nafta_evaluation)
+#> Sums of squares:
+#>       SFO      IORE      DFOP 
+#> 1378.6832  615.7730  517.8836 
+#> 
+#> Critical sum of squares for checking the SFO model:
+#> [1] 717.4598
+#> 
+#> Parameters:
+#> $SFO
+#>          Estimate   Pr(>t)    Lower   Upper
+#> parent_0  83.7558 1.80e-14 77.18268 90.3288
+#> k_parent   0.0017 7.43e-05  0.00112  0.0026
+#> sigma      8.7518 1.22e-05  5.64278 11.8608
+#> 
+#> $IORE
+#>                Estimate Pr(>t)    Lower    Upper
+#> parent_0       9.69e+01     NA 8.88e+01 1.05e+02
+#> k__iore_parent 8.40e-14     NA 1.79e-18 3.94e-09
+#> N_parent       6.68e+00     NA 4.19e+00 9.17e+00
+#> sigma          5.85e+00     NA 3.76e+00 7.94e+00
+#> 
+#> $DFOP
+#>          Estimate   Pr(>t)    Lower    Upper
+#> parent_0 9.76e+01 1.94e-13 9.02e+01 1.05e+02
+#> k1       4.24e-02 5.92e-03 2.03e-02 8.88e-02
+#> k2       8.24e-04 6.48e-03 3.89e-04 1.75e-03
+#> g        2.88e-01 2.47e-05 1.95e-01 4.03e-01
+#> sigma    5.36e+00 2.22e-05 3.43e+00 7.30e+00
+#> 
+#> 
+#> DTx values:
+#>      DT50    DT90 DT50_rep
+#> SFO   407    1350      407
+#> IORE  541 5190000  1560000
+#> DFOP  429    2380      841
+#> 
+#> Representative half-life:
+#> [1] 841.41
+  plot(nafta_evaluation)
+
+
+
+
+
- - - + + diff --git a/docs/reference/nlme-1.png b/docs/reference/nlme-1.png index 365aaef0..67cc7f3c 100644 Binary files a/docs/reference/nlme-1.png and b/docs/reference/nlme-1.png differ diff --git a/docs/reference/nlme-2.png b/docs/reference/nlme-2.png index 40841404..bb1e6f81 100644 Binary files a/docs/reference/nlme-2.png and b/docs/reference/nlme-2.png differ diff --git a/docs/reference/nlme.html b/docs/reference/nlme.html index 6821bacf..5eebecaa 100644 --- a/docs/reference/nlme.html +++ b/docs/reference/nlme.html @@ -1,70 +1,15 @@ - - - - - - - -Helper functions to create nlme models from mmkin row objects — nlme_function • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Helper functions to create nlme models from mmkin row objects — nlme_function • mkin - - - - - - - - - - - + + - - -
-
- -
- -
+

Helper functions to create nlme models from mmkin row objects

- Source: R/nlme.R + Source: R/nlme.R
@@ -150,137 +89,128 @@ datasets. They are used internally by the nlme.mmkin() method." />

These functions facilitate setting up a nonlinear mixed effects model for an mmkin row object. An mmkin row object is essentially a list of mkinfit objects that have been obtained by fitting the same model to a list of -datasets. They are used internally by the nlme.mmkin() method.

+datasets. They are used internally by the nlme.mmkin() method.

- 
nlme_function(object)
-
-mean_degparms(object, random = FALSE)
-
-nlme_data(object)
- -

Arguments

- - - - - - - - - - -
object

An mmkin row object containing several fits of the same model to different datasets

random

Should a list with fixed and random effects be returned?

+
+ 
nlme_function(object)
 
-    
Value

-
-    
A function that can be used with nlme

-
If random is FALSE (default), a named vector containing mean values
-of the fitted degradation model parameters. If random is TRUE, a list with
-fixed and random effects, in the format required by the start argument of
-nlme for the case of a single grouping variable ds.

-
A groupedData object

-    
See also

-
-    
nlme.mmkin

-
-    
Examples

-    
sampling_times = c(0, 1, 3, 7, 14, 28, 60, 90, 120)
-m_SFO <- mkinmod(parent = mkinsub("SFO"))
-d_SFO_1 <- mkinpredict(m_SFO,
-  c(k_parent = 0.1),
-  c(parent = 98), sampling_times)
-d_SFO_1_long <- mkin_wide_to_long(d_SFO_1, time = "time")
-d_SFO_2 <- mkinpredict(m_SFO,
-  c(k_parent = 0.05),
-  c(parent = 102), sampling_times)
-d_SFO_2_long <- mkin_wide_to_long(d_SFO_2, time = "time")
-d_SFO_3 <- mkinpredict(m_SFO,
-  c(k_parent = 0.02),
-  c(parent = 103), sampling_times)
-d_SFO_3_long <- mkin_wide_to_long(d_SFO_3, time = "time")
-
-d1 <- add_err(d_SFO_1, function(value) 3, n = 1)
-d2 <- add_err(d_SFO_2, function(value) 2, n = 1)
-d3 <- add_err(d_SFO_3, function(value) 4, n = 1)
-ds <- c(d1 = d1, d2 = d2, d3 = d3)
+nlme_data(object)
+
-f <- mmkin("SFO", ds, cores = 1, quiet = TRUE) -mean_dp <- mean_degparms(f) -grouped_data <- nlme_data(f) -nlme_f <- nlme_function(f) -# These assignments are necessary for these objects to be -# visible to nlme and augPred when evaluation is done by -# pkgdown to generated the html docs. -assign("nlme_f", nlme_f, globalenv()) -assign("grouped_data", grouped_data, globalenv()) +
+

Arguments

+
object
+

An mmkin row object containing several fits of the same model to different datasets

+
+
+

Value

+

A function that can be used with nlme +A groupedData object

+
+
+

See also

+

nlme.mmkin

+
-library(nlme) -m_nlme <- nlme(value ~ nlme_f(name, time, parent_0, log_k_parent_sink), - data = grouped_data, - fixed = parent_0 + log_k_parent_sink ~ 1, - random = pdDiag(parent_0 + log_k_parent_sink ~ 1), - start = mean_dp) -summary(m_nlme) -
#> Nonlinear mixed-effects model fit by maximum likelihood -#> Model: value ~ nlme_f(name, time, parent_0, log_k_parent_sink) -#> Data: grouped_data -#> AIC BIC logLik -#> 300.6824 310.2426 -145.3412 -#> -#> Random effects: -#> Formula: list(parent_0 ~ 1, log_k_parent_sink ~ 1) -#> Level: ds -#> Structure: Diagonal -#> parent_0 log_k_parent_sink Residual -#> StdDev: 1.697361 0.6801209 3.666073 -#> -#> Fixed effects: parent_0 + log_k_parent_sink ~ 1 -#> Value Std.Error DF t-value p-value -#> parent_0 100.99378 1.3890416 46 72.70753 0 -#> log_k_parent_sink -3.07521 0.4018589 46 -7.65246 0 -#> Correlation: -#> prnt_0 -#> log_k_parent_sink 0.027 -#> -#> Standardized Within-Group Residuals: -#> Min Q1 Med Q3 Max -#> -1.9942823 -0.5622565 0.1791579 0.7165038 2.0704781 -#> -#> Number of Observations: 50 -#> Number of Groups: 3
plot(augPred(m_nlme, level = 0:1), layout = c(3, 1)) -
# augPred does not work on fits with more than one state -# variable -# -# The procedure is greatly simplified by the nlme.mmkin function -f_nlme <- nlme(f) -plot(f_nlme) -
+
+

Examples

+ 
sampling_times = c(0, 1, 3, 7, 14, 28, 60, 90, 120)
+m_SFO <- mkinmod(parent = mkinsub("SFO"))
+d_SFO_1 <- mkinpredict(m_SFO,
+  c(k_parent = 0.1),
+  c(parent = 98), sampling_times)
+d_SFO_1_long <- mkin_wide_to_long(d_SFO_1, time = "time")
+d_SFO_2 <- mkinpredict(m_SFO,
+  c(k_parent = 0.05),
+  c(parent = 102), sampling_times)
+d_SFO_2_long <- mkin_wide_to_long(d_SFO_2, time = "time")
+d_SFO_3 <- mkinpredict(m_SFO,
+  c(k_parent = 0.02),
+  c(parent = 103), sampling_times)
+d_SFO_3_long <- mkin_wide_to_long(d_SFO_3, time = "time")
+
+d1 <- add_err(d_SFO_1, function(value) 3, n = 1)
+d2 <- add_err(d_SFO_2, function(value) 2, n = 1)
+d3 <- add_err(d_SFO_3, function(value) 4, n = 1)
+ds <- c(d1 = d1, d2 = d2, d3 = d3)
+
+f <- mmkin("SFO", ds, cores = 1, quiet = TRUE)
+mean_dp <- mean_degparms(f)
+grouped_data <- nlme_data(f)
+nlme_f <- nlme_function(f)
+# These assignments are necessary for these objects to be
+# visible to nlme and augPred when evaluation is done by
+# pkgdown to generate the html docs.
+assign("nlme_f", nlme_f, globalenv())
+assign("grouped_data", grouped_data, globalenv())
+
+library(nlme)
+m_nlme <- nlme(value ~ nlme_f(name, time, parent_0, log_k_parent_sink),
+  data = grouped_data,
+  fixed = parent_0 + log_k_parent_sink ~ 1,
+  random = pdDiag(parent_0 + log_k_parent_sink ~ 1),
+  start = mean_dp)
+summary(m_nlme)
+#> Nonlinear mixed-effects model fit by maximum likelihood
+#>   Model: value ~ nlme_f(name, time, parent_0, log_k_parent_sink) 
+#>   Data: grouped_data 
+#>        AIC      BIC    logLik
+#>   300.6824 310.2426 -145.3412
+#> 
+#> Random effects:
+#>  Formula: list(parent_0 ~ 1, log_k_parent_sink ~ 1)
+#>  Level: ds
+#>  Structure: Diagonal
+#>         parent_0 log_k_parent_sink Residual
+#> StdDev: 1.697361         0.6801209 3.666073
+#> 
+#> Fixed effects:  parent_0 + log_k_parent_sink ~ 1 
+#>                       Value Std.Error DF  t-value p-value
+#> parent_0          100.99378 1.3890416 46 72.70753       0
+#> log_k_parent_sink  -3.07521 0.4018589 46 -7.65246       0
+#>  Correlation: 
+#>                   prnt_0
+#> log_k_parent_sink 0.027 
+#> 
+#> Standardized Within-Group Residuals:
+#>        Min         Q1        Med         Q3        Max 
+#> -1.9942823 -0.5622565  0.1791579  0.7165038  2.0704781 
+#> 
+#> Number of Observations: 50
+#> Number of Groups: 3 
+plot(augPred(m_nlme, level = 0:1), layout = c(3, 1))
+
+# augPred does not work on fits with more than one state
+# variable
+#
+# The procedure is greatly simplified by the nlme.mmkin function
+f_nlme <- nlme(f)
+plot(f_nlme)
+
+
+
+
- - - + + diff --git a/docs/reference/nlme.mmkin-1.png b/docs/reference/nlme.mmkin-1.png index 95adfafb..d93b0950 100644 Binary files a/docs/reference/nlme.mmkin-1.png and b/docs/reference/nlme.mmkin-1.png differ diff --git a/docs/reference/nlme.mmkin-2.png b/docs/reference/nlme.mmkin-2.png index 53b6fc76..5afccfbb 100644 Binary files a/docs/reference/nlme.mmkin-2.png and b/docs/reference/nlme.mmkin-2.png differ diff --git a/docs/reference/nlme.mmkin-3.png b/docs/reference/nlme.mmkin-3.png index e87d15e5..bf3aac6c 100644 Binary files a/docs/reference/nlme.mmkin-3.png and b/docs/reference/nlme.mmkin-3.png differ diff --git a/docs/reference/nlme.mmkin.html b/docs/reference/nlme.mmkin.html index b3052605..56770856 100644 --- a/docs/reference/nlme.mmkin.html +++ b/docs/reference/nlme.mmkin.html @@ -1,69 +1,14 @@ - - - - - - - -Create an nlme model for an mmkin row object — nlme.mmkin • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Create an nlme model for an mmkin row object — nlme.mmkin • mkin - - - - - - - - - - + + - - - -
-
- -
- -
+

Create an nlme model for an mmkin row object

- Source: R/nlme.mmkin.R + Source: R/nlme.mmkin.R
@@ -151,339 +90,316 @@ object. An mmkin row object is essentially a list of mkinfit objects that have been obtained by fitting the same model to a list of datasets.

- 
# S3 method for mmkin
-nlme(
-  model,
-  data = "auto",
-  fixed = lapply(as.list(names(mean_degparms(model))), function(el) eval(parse(text =
-    paste(el, 1, sep = "~")))),
-  random = pdDiag(fixed),
-  groups,
-  start = mean_degparms(model, random = TRUE),
-  correlation = NULL,
-  weights = NULL,
-  subset,
-  method = c("ML", "REML"),
-  na.action = na.fail,
-  naPattern,
-  control = list(),
-  verbose = FALSE
-)
-
-# S3 method for nlme.mmkin
-print(x, digits = max(3, getOption("digits") - 3), ...)
-
-# S3 method for nlme.mmkin
-update(object, ...)
- -

Arguments

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
model

An mmkin row object.

data

Ignored, data are taken from the mmkin model

fixed

Ignored, all degradation parameters fitted in the -mmkin model are used as fixed parameters

random

If not specified, correlated random effects are set up -for all optimised degradation model parameters using the log-Cholesky -parameterization nlme::pdLogChol that is also the default of -the generic nlme method.

groups

See the documentation of nlme

start

If not specified, mean values of the fitted degradation -parameters taken from the mmkin object are used

correlation

See the documentation of nlme

weights

passed to nlme

subset

passed to nlme

method

passed to nlme

na.action

passed to nlme

naPattern

passed to nlme

control

passed to nlme

verbose

passed to nlme

x

An nlme.mmkin object to print

digits

Number of digits to use for printing

...

Update specifications passed to update.nlme

object

An nlme.mmkin object to update

- -

Value

+
+ 
# S3 method for mmkin
+nlme(
+  model,
+  data = "auto",
+  fixed = lapply(as.list(names(mean_degparms(model))), function(el) eval(parse(text =
+    paste(el, 1, sep = "~")))),
+  random = pdDiag(fixed),
+  groups,
+  start = mean_degparms(model, random = TRUE, test_log_parms = TRUE),
+  correlation = NULL,
+  weights = NULL,
+  subset,
+  method = c("ML", "REML"),
+  na.action = na.fail,
+  naPattern,
+  control = list(),
+  verbose = FALSE
+)
+
+# S3 method for nlme.mmkin
+print(x, digits = max(3, getOption("digits") - 3), ...)
+
+# S3 method for nlme.mmkin
+update(object, ...)
+
+
+

Arguments

+
model
+

An mmkin row object.

+
data
+

Ignored, data are taken from the mmkin model

+
fixed
+

Ignored, all degradation parameters fitted in the +mmkin model are used as fixed parameters

+
random
+

If not specified, no correlations between random effects are +set up for the optimised degradation model parameters. This is +achieved by using the nlme::pdDiag method.

+
groups
+

See the documentation of nlme

+
start
+

If not specified, mean values of the fitted degradation +parameters taken from the mmkin object are used

+
correlation
+

See the documentation of nlme

+
weights
+

passed to nlme

+
subset
+

passed to nlme

+
method
+

passed to nlme

+
na.action
+

passed to nlme

+
naPattern
+

passed to nlme

+
control
+

passed to nlme

+
verbose
+

passed to nlme

+
x
+

An nlme.mmkin object to print

+
digits
+

Number of digits to use for printing

+
...
+

Update specifications passed to update.nlme

+
object
+

An nlme.mmkin object to update

+
+
+

Value

Upon success, a fitted 'nlme.mmkin' object, which is an nlme object with additional elements. It also inherits from 'mixed.mmkin'.

-

Details

- +
+
+

Details

Note that the convergence of the nlme algorithms depends on the quality of the data. In degradation kinetics, we often only have few datasets (e.g. data for few soils) and complicated degradation models, which may make it impossible to obtain convergence with nlme.

-

Note

- -

As the object inherits from nlme::nlme, there is a wealth of +

+
+

Note

+

As the object inherits from nlme::nlme, there is a wealth of methods that will automatically work on 'nlme.mmkin' objects, such as -nlme::intervals(), nlme::anova.lme() and nlme::coef.lme().

-

See also

- -

nlme_function(), plot.mixed.mmkin, summary.nlme.mmkin

- -

Examples

- 
ds <- lapply(experimental_data_for_UBA_2019[6:10],
- function(x) subset(x$data[c("name", "time", "value")], name == "parent"))
-f <- mmkin(c("SFO", "DFOP"), ds, quiet = TRUE, cores = 1)
-library(nlme)
-f_nlme_sfo <- nlme(f["SFO", ])
-
-# \dontrun{
-
-  f_nlme_dfop <- nlme(f["DFOP", ])
-  anova(f_nlme_sfo, f_nlme_dfop)
-
#>             Model df      AIC      BIC    logLik   Test  L.Ratio p-value
-#> f_nlme_sfo      1  5 625.0539 637.5529 -307.5269                        
-#> f_nlme_dfop     2  9 495.1270 517.6253 -238.5635 1 vs 2 137.9269  <.0001
  print(f_nlme_dfop)
-
#> Kinetic nonlinear mixed-effects model fit by maximum likelihood
-#> 
-#> Structural model:
-#> d_parent/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) * exp(-k2 *
-#>            time)) / (g * exp(-k1 * time) + (1 - g) * exp(-k2 * time)))
-#>            * parent
-#> 
-#> Data:
-#> 90 observations of 1 variable(s) grouped in 5 datasets
-#> 
-#> Log-likelihood: -238.6
-#> 
-#> Fixed effects:
-#>  list(parent_0 ~ 1, log_k1 ~ 1, log_k2 ~ 1, g_qlogis ~ 1) 
-#> parent_0   log_k1   log_k2 g_qlogis 
-#>  94.1702  -1.8002  -4.1474   0.0324 
-#> 
-#> Random effects:
-#>  Formula: list(parent_0 ~ 1, log_k1 ~ 1, log_k2 ~ 1, g_qlogis ~ 1)
-#>  Level: ds
-#>  Structure: Diagonal
-#>         parent_0 log_k1 log_k2 g_qlogis Residual
-#> StdDev:    2.488 0.8447   1.33   0.4652    2.321
-#> 
  plot(f_nlme_dfop)
-
  endpoints(f_nlme_dfop)
-
#> $distimes
-#>            DT50     DT90 DT50back  DT50_k1  DT50_k2
-#> parent 10.79857 100.7937 30.34193 4.193938 43.85443
-#> 

-  ds_2 <- lapply(experimental_data_for_UBA_2019[6:10],
-   function(x) x$data[c("name", "time", "value")])
-  m_sfo_sfo <- mkinmod(parent = mkinsub("SFO", "A1"),
-    A1 = mkinsub("SFO"), use_of_ff = "min", quiet = TRUE)
-  m_sfo_sfo_ff <- mkinmod(parent = mkinsub("SFO", "A1"),
-    A1 = mkinsub("SFO"), use_of_ff = "max", quiet = TRUE)
-  m_dfop_sfo <- mkinmod(parent = mkinsub("DFOP", "A1"),
-    A1 = mkinsub("SFO"), quiet = TRUE)
-
-  f_2 <- mmkin(list("SFO-SFO" = m_sfo_sfo,
-   "SFO-SFO-ff" = m_sfo_sfo_ff,
-   "DFOP-SFO" = m_dfop_sfo),
-    ds_2, quiet = TRUE)
-
-  f_nlme_sfo_sfo <- nlme(f_2["SFO-SFO", ])
-  plot(f_nlme_sfo_sfo)
-

-  # With formation fractions this does not coverge with defaults
-  # f_nlme_sfo_sfo_ff <- nlme(f_2["SFO-SFO-ff", ])
-  #plot(f_nlme_sfo_sfo_ff)
-
-  # For the following, we need to increase pnlsMaxIter and the tolerance
-  # to get convergence
-  f_nlme_dfop_sfo <- nlme(f_2["DFOP-SFO", ],
-    control = list(pnlsMaxIter = 120, tolerance = 5e-4))
-
-  plot(f_nlme_dfop_sfo)
-

-  anova(f_nlme_dfop_sfo, f_nlme_sfo_sfo)
-
#>                 Model df       AIC       BIC    logLik   Test  L.Ratio p-value
-#> f_nlme_dfop_sfo     1 13  843.8548  884.6201 -408.9274                        
-#> f_nlme_sfo_sfo      2  9 1085.1821 1113.4043 -533.5910 1 vs 2 249.3273  <.0001

-  endpoints(f_nlme_sfo_sfo)
-
#> $ff
-#> parent_sink   parent_A1     A1_sink 
-#>   0.5912432   0.4087568   1.0000000 
-#> 
-#> $distimes
-#>            DT50     DT90
-#> parent 19.13518  63.5657
-#> A1     66.02155 219.3189
-#> 
  endpoints(f_nlme_dfop_sfo)
-
#> $ff
-#>   parent_A1 parent_sink 
-#>   0.2768575   0.7231425 
-#> 
-#> $distimes
-#>             DT50     DT90 DT50back  DT50_k1  DT50_k2
-#> parent  11.07091 104.6320 31.49737 4.462384 46.20825
-#> A1     162.30492 539.1653       NA       NA       NA
-#> 

-  if (length(findFunction("varConstProp")) > 0) { # tc error model for nlme available
-    # Attempts to fit metabolite kinetics with the tc error model are possible,
-    # but need tweeking of control values and sometimes do not converge
-
-    f_tc <- mmkin(c("SFO", "DFOP"), ds, quiet = TRUE, error_model = "tc")
-    f_nlme_sfo_tc <- nlme(f_tc["SFO", ])
-    f_nlme_dfop_tc <- nlme(f_tc["DFOP", ])
-    AIC(f_nlme_sfo, f_nlme_sfo_tc, f_nlme_dfop, f_nlme_dfop_tc)
-    print(f_nlme_dfop_tc)
-  }
-
#> Kinetic nonlinear mixed-effects model fit by maximum likelihood
-#> 
-#> Structural model:
-#> d_parent/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) * exp(-k2 *
-#>            time)) / (g * exp(-k1 * time) + (1 - g) * exp(-k2 * time)))
-#>            * parent
-#> 
-#> Data:
-#> 90 observations of 1 variable(s) grouped in 5 datasets
-#> 
-#> Log-likelihood: -238.4
-#> 
-#> Fixed effects:
-#>  list(parent_0 ~ 1, log_k1 ~ 1, log_k2 ~ 1, g_qlogis ~ 1) 
-#> parent_0   log_k1   log_k2 g_qlogis 
-#> 94.04774 -1.82340 -4.16716  0.05686 
-#> 
-#> Random effects:
-#>  Formula: list(parent_0 ~ 1, log_k1 ~ 1, log_k2 ~ 1, g_qlogis ~ 1)
-#>  Level: ds
-#>  Structure: Diagonal
-#>         parent_0 log_k1 log_k2 g_qlogis Residual
-#> StdDev:    2.474   0.85  1.337   0.4659        1
-#> 
-#> Variance function:
-#>  Structure: Constant plus proportion of variance covariate
-#>  Formula: ~fitted(.) 
-#>  Parameter estimates:
-#>      const       prop 
-#> 2.23223147 0.01262395 

-  f_2_obs <- update(f_2, error_model = "obs")
-  f_nlme_sfo_sfo_obs <- nlme(f_2_obs["SFO-SFO", ])
-  print(f_nlme_sfo_sfo_obs)
-
#> Kinetic nonlinear mixed-effects model fit by maximum likelihood
-#> 
-#> Structural model:
-#> d_parent/dt = - k_parent_sink * parent - k_parent_A1 * parent
-#> d_A1/dt = + k_parent_A1 * parent - k_A1_sink * A1
-#> 
-#> Data:
-#> 170 observations of 2 variable(s) grouped in 5 datasets
-#> 
-#> Log-likelihood: -473
-#> 
-#> Fixed effects:
-#>  list(parent_0 ~ 1, log_k_parent_sink ~ 1, log_k_parent_A1 ~ 1,      log_k_A1_sink ~ 1) 
-#>          parent_0 log_k_parent_sink   log_k_parent_A1     log_k_A1_sink 
-#>            87.976            -3.670            -4.164            -4.645 
-#> 
-#> Random effects:
-#>  Formula: list(parent_0 ~ 1, log_k_parent_sink ~ 1, log_k_parent_A1 ~ 1,      log_k_A1_sink ~ 1)
-#>  Level: ds
-#>  Structure: Diagonal
-#>         parent_0 log_k_parent_sink log_k_parent_A1 log_k_A1_sink Residual
-#> StdDev:    3.992             1.777           1.055        0.4821    6.483
-#> 
-#> Variance function:
-#>  Structure: Different standard deviations per stratum
-#>  Formula: ~1 | name 
-#>  Parameter estimates:
-#>    parent        A1 
-#> 1.0000000 0.2049995 
  f_nlme_dfop_sfo_obs <- nlme(f_2_obs["DFOP-SFO", ],
-    control = list(pnlsMaxIter = 120, tolerance = 5e-4))
-
-  f_2_tc <- update(f_2, error_model = "tc")
-  # f_nlme_sfo_sfo_tc <- nlme(f_2_tc["SFO-SFO", ]) # No convergence with 50 iterations
-  # f_nlme_dfop_sfo_tc <- nlme(f_2_tc["DFOP-SFO", ],
-  #  control = list(pnlsMaxIter = 120, tolerance = 5e-4)) # Error in X[, fmap[[nm]]] <- gradnm
+nlme::intervals(), nlme::anova.lme() and nlme::coef.lme().

+    

+    
 
-  anova(f_nlme_dfop_sfo, f_nlme_dfop_sfo_obs)
-
#> Model df AIC BIC logLik Test L.Ratio -#> f_nlme_dfop_sfo 1 13 843.8548 884.6201 -408.9274 -#> f_nlme_dfop_sfo_obs 2 14 817.5338 861.4350 -394.7669 1 vs 2 28.32093 -#> p-value -#> f_nlme_dfop_sfo -#> f_nlme_dfop_sfo_obs <.0001
-# } -
+
+

Examples

+ 
ds <- lapply(experimental_data_for_UBA_2019[6:10],
+ function(x) subset(x$data[c("name", "time", "value")], name == "parent"))
+f <- mmkin(c("SFO", "DFOP"), ds, quiet = TRUE, cores = 1)
+library(nlme)
+f_nlme_sfo <- nlme(f["SFO", ])
+
+# \dontrun{
+
+  f_nlme_dfop <- nlme(f["DFOP", ])
+  anova(f_nlme_sfo, f_nlme_dfop)
+#>             Model df      AIC      BIC    logLik   Test  L.Ratio p-value
+#> f_nlme_sfo      1  5 625.0539 637.5529 -307.5269                        
+#> f_nlme_dfop     2  9 495.1270 517.6253 -238.5635 1 vs 2 137.9269  <.0001
+  print(f_nlme_dfop)
+#> Kinetic nonlinear mixed-effects model fit by maximum likelihood
+#> 
+#> Structural model:
+#> d_parent/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) * exp(-k2 *
+#>            time)) / (g * exp(-k1 * time) + (1 - g) * exp(-k2 * time)))
+#>            * parent
+#> 
+#> Data:
+#> 90 observations of 1 variable(s) grouped in 5 datasets
+#> 
+#> Log-likelihood: -238.6
+#> 
+#> Fixed effects:
+#>  list(parent_0 ~ 1, log_k1 ~ 1, log_k2 ~ 1, g_qlogis ~ 1) 
+#> parent_0   log_k1   log_k2 g_qlogis 
+#>  94.1702  -1.8002  -4.1474   0.0324 
+#> 
+#> Random effects:
+#>  Formula: list(parent_0 ~ 1, log_k1 ~ 1, log_k2 ~ 1, g_qlogis ~ 1)
+#>  Level: ds
+#>  Structure: Diagonal
+#>         parent_0 log_k1 log_k2 g_qlogis Residual
+#> StdDev:    2.488 0.8447   1.33   0.4652    2.321
+#> 
+  plot(f_nlme_dfop)
+
+  endpoints(f_nlme_dfop)
+#> $distimes
+#>            DT50     DT90 DT50back  DT50_k1  DT50_k2
+#> parent 10.79857 100.7937 30.34193 4.193938 43.85443
+#> 
+
+  ds_2 <- lapply(experimental_data_for_UBA_2019[6:10],
+   function(x) x$data[c("name", "time", "value")])
+  m_sfo_sfo <- mkinmod(parent = mkinsub("SFO", "A1"),
+    A1 = mkinsub("SFO"), use_of_ff = "min", quiet = TRUE)
+  m_sfo_sfo_ff <- mkinmod(parent = mkinsub("SFO", "A1"),
+    A1 = mkinsub("SFO"), use_of_ff = "max", quiet = TRUE)
+  m_dfop_sfo <- mkinmod(parent = mkinsub("DFOP", "A1"),
+    A1 = mkinsub("SFO"), quiet = TRUE)
+
+  f_2 <- mmkin(list("SFO-SFO" = m_sfo_sfo,
+   "SFO-SFO-ff" = m_sfo_sfo_ff,
+   "DFOP-SFO" = m_dfop_sfo),
+    ds_2, quiet = TRUE)
+
+  f_nlme_sfo_sfo <- nlme(f_2["SFO-SFO", ])
+  plot(f_nlme_sfo_sfo)
+
+
+  # With formation fractions this does not coverge with defaults
+  # f_nlme_sfo_sfo_ff <- nlme(f_2["SFO-SFO-ff", ])
+  #plot(f_nlme_sfo_sfo_ff)
+
+  # For the following, we need to increase pnlsMaxIter and the tolerance
+  # to get convergence
+  f_nlme_dfop_sfo <- nlme(f_2["DFOP-SFO", ],
+    control = list(pnlsMaxIter = 120, tolerance = 5e-4))
+
+  plot(f_nlme_dfop_sfo)
+
+
+  anova(f_nlme_dfop_sfo, f_nlme_sfo_sfo)
+#>                 Model df       AIC       BIC    logLik   Test  L.Ratio p-value
+#> f_nlme_dfop_sfo     1 13  843.8547  884.6201 -408.9274                        
+#> f_nlme_sfo_sfo      2  9 1085.1821 1113.4043 -533.5910 1 vs 2 249.3274  <.0001
+
+  endpoints(f_nlme_sfo_sfo)
+#> $ff
+#> parent_sink   parent_A1     A1_sink 
+#>   0.5912432   0.4087568   1.0000000 
+#> 
+#> $distimes
+#>            DT50     DT90
+#> parent 19.13518  63.5657
+#> A1     66.02155 219.3189
+#> 
+  endpoints(f_nlme_dfop_sfo)
+#> $ff
+#>   parent_A1 parent_sink 
+#>   0.2768574   0.7231426 
+#> 
+#> $distimes
+#>             DT50     DT90 DT50back  DT50_k1  DT50_k2
+#> parent  11.07091 104.6320 31.49737 4.462383 46.20825
+#> A1     162.30519 539.1662       NA       NA       NA
+#> 
+
+  if (length(findFunction("varConstProp")) > 0) { # tc error model for nlme available
+    # Attempts to fit metabolite kinetics with the tc error model are possible,
+    # but need tweeking of control values and sometimes do not converge
+
+    f_tc <- mmkin(c("SFO", "DFOP"), ds, quiet = TRUE, error_model = "tc")
+    f_nlme_sfo_tc <- nlme(f_tc["SFO", ])
+    f_nlme_dfop_tc <- nlme(f_tc["DFOP", ])
+    AIC(f_nlme_sfo, f_nlme_sfo_tc, f_nlme_dfop, f_nlme_dfop_tc)
+    print(f_nlme_dfop_tc)
+  }
+#> Kinetic nonlinear mixed-effects model fit by maximum likelihood
+#> 
+#> Structural model:
+#> d_parent/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) * exp(-k2 *
+#>            time)) / (g * exp(-k1 * time) + (1 - g) * exp(-k2 * time)))
+#>            * parent
+#> 
+#> Data:
+#> 90 observations of 1 variable(s) grouped in 5 datasets
+#> 
+#> Log-likelihood: -238.4
+#> 
+#> Fixed effects:
+#>  list(parent_0 ~ 1, log_k1 ~ 1, log_k2 ~ 1, g_qlogis ~ 1) 
+#> parent_0   log_k1   log_k2 g_qlogis 
+#> 94.04774 -1.82340 -4.16716  0.05686 
+#> 
+#> Random effects:
+#>  Formula: list(parent_0 ~ 1, log_k1 ~ 1, log_k2 ~ 1, g_qlogis ~ 1)
+#>  Level: ds
+#>  Structure: Diagonal
+#>         parent_0 log_k1 log_k2 g_qlogis Residual
+#> StdDev:    2.474   0.85  1.337   0.4659        1
+#> 
+#> Variance function:
+#>  Structure: Constant plus proportion of variance covariate
+#>  Formula: ~fitted(.) 
+#>  Parameter estimates:
+#>      const       prop 
+#> 2.23223147 0.01262395 
+
+  f_2_obs <- update(f_2, error_model = "obs")
+  f_nlme_sfo_sfo_obs <- nlme(f_2_obs["SFO-SFO", ])
+  print(f_nlme_sfo_sfo_obs)
+#> Kinetic nonlinear mixed-effects model fit by maximum likelihood
+#> 
+#> Structural model:
+#> d_parent/dt = - k_parent_sink * parent - k_parent_A1 * parent
+#> d_A1/dt = + k_parent_A1 * parent - k_A1_sink * A1
+#> 
+#> Data:
+#> 170 observations of 2 variable(s) grouped in 5 datasets
+#> 
+#> Log-likelihood: -473
+#> 
+#> Fixed effects:
+#>  list(parent_0 ~ 1, log_k_parent_sink ~ 1, log_k_parent_A1 ~ 1,      log_k_A1_sink ~ 1) 
+#>          parent_0 log_k_parent_sink   log_k_parent_A1     log_k_A1_sink 
+#>            87.976            -3.670            -4.164            -4.645 
+#> 
+#> Random effects:
+#>  Formula: list(parent_0 ~ 1, log_k_parent_sink ~ 1, log_k_parent_A1 ~ 1,      log_k_A1_sink ~ 1)
+#>  Level: ds
+#>  Structure: Diagonal
+#>         parent_0 log_k_parent_sink log_k_parent_A1 log_k_A1_sink Residual
+#> StdDev:    3.992             1.777           1.055        0.4821    6.483
+#> 
+#> Variance function:
+#>  Structure: Different standard deviations per stratum
+#>  Formula: ~1 | name 
+#>  Parameter estimates:
+#>    parent        A1 
+#> 1.0000000 0.2049995 
+  f_nlme_dfop_sfo_obs <- nlme(f_2_obs["DFOP-SFO", ],
+    control = list(pnlsMaxIter = 120, tolerance = 5e-4))
+
+  f_2_tc <- update(f_2, error_model = "tc")
+  # f_nlme_sfo_sfo_tc <- nlme(f_2_tc["SFO-SFO", ]) # No convergence with 50 iterations
+  # f_nlme_dfop_sfo_tc <- nlme(f_2_tc["DFOP-SFO", ],
+  #  control = list(pnlsMaxIter = 120, tolerance = 5e-4)) # Error in X[, fmap[[nm]]] <- gradnm
+
+  anova(f_nlme_dfop_sfo, f_nlme_dfop_sfo_obs)
+#>                     Model df      AIC      BIC    logLik   Test  L.Ratio
+#> f_nlme_dfop_sfo         1 13 843.8547 884.6201 -408.9274                
+#> f_nlme_dfop_sfo_obs     2 14 817.5338 861.4350 -394.7669 1 vs 2 28.32091
+#>                     p-value
+#> f_nlme_dfop_sfo            
+#> f_nlme_dfop_sfo_obs  <.0001
+
+# }
+
+
+
- - - + + diff --git a/docs/reference/nlmixr.mmkin-1.png b/docs/reference/nlmixr.mmkin-1.png new file mode 100644 index 00000000..42a266e5 Binary files /dev/null and b/docs/reference/nlmixr.mmkin-1.png differ diff --git a/docs/reference/nlmixr.mmkin-2.png b/docs/reference/nlmixr.mmkin-2.png new file mode 100644 index 00000000..0c440fa8 Binary files /dev/null and b/docs/reference/nlmixr.mmkin-2.png differ diff --git a/docs/reference/nlmixr.mmkin.html b/docs/reference/nlmixr.mmkin.html new file mode 100644 index 00000000..deb8bacc --- /dev/null +++ b/docs/reference/nlmixr.mmkin.html @@ -0,0 +1,15455 @@ + +Fit nonlinear mixed models using nlmixr — nlmixr.mmkin • mkin + + +
+
+ + + +
+
+
+

Fit nonlinear mixed models using nlmixr

+ Source: R/nlmixr.R + +
+ +
+

This function uses nlmixr::nlmixr() as a backend for fitting nonlinear mixed +effects models created from mmkin row objects using the Stochastic Approximation +Expectation Maximisation algorithm (SAEM) or First Order Conditional +Estimation with Interaction (FOCEI).

+
+ +
+ 
# S3 method for mmkin
+nlmixr(
+  object,
+  data = NULL,
+  est = NULL,
+  control = list(),
+  table = tableControl(),
+  error_model = object[[1]]$err_mod,
+  test_log_parms = TRUE,
+  conf.level = 0.6,
+  degparms_start = "auto",
+  eta_start = "auto",
+  ...,
+  save = NULL,
+  envir = parent.frame()
+)
+
+# S3 method for nlmixr.mmkin
+print(x, digits = max(3, getOption("digits") - 3), ...)
+
+nlmixr_model(
+  object,
+  est = c("saem", "focei"),
+  degparms_start = "auto",
+  eta_start = "auto",
+  test_log_parms = TRUE,
+  conf.level = 0.6,
+  error_model = object[[1]]$err_mod,
+  add_attributes = FALSE
+)
+
+nlmixr_data(object, ...)
+
+ +
+

Arguments

+
object
+

An mmkin row object containing several fits of the same +mkinmod model to different datasets

+
data
+

Not used, as the data are extracted from the mmkin row object

+
est
+

Estimation method passed to nlmixr::nlmixr

+
control
+

Passed to nlmixr::nlmixr

+
table
+

Passed to nlmixr::nlmixr

+
error_model
+

Optional argument to override the error model which is +being set based on the error model used in the mmkin row object.

+
test_log_parms
+

If TRUE, an attempt is made to use more robust starting +values for population parameters fitted as log parameters in mkin (like +rate constants) by only considering rate constants that pass the t-test +when calculating mean degradation parameters using mean_degparms.

+
conf.level
+

Possibility to adjust the required confidence level +for parameter that are tested if requested by 'test_log_parms'.

+
degparms_start
+

Parameter values given as a named numeric vector will +be used to override the starting values obtained from the 'mmkin' object.

+
eta_start
+

Standard deviations on the transformed scale given as a +named numeric vector will be used to override the starting values obtained +from the 'mmkin' object.

+
...
+

Passed to nlmixr_model

+
save
+

Passed to nlmixr::nlmixr

+
envir
+

Passed to nlmixr::nlmixr

+
x
+

An nlmixr.mmkin object to print

+
digits
+

Number of digits to use for printing

+
add_attributes
+

Should the starting values used for degradation model +parameters and their distribution and for the error model parameters +be returned as attributes?

+
+
+

Value

+

An S3 object of class 'nlmixr.mmkin', containing the fitted +nlmixr::nlmixr object as a list component named 'nm'. The +object also inherits from 'mixed.mmkin'. +An function defining a model suitable for fitting with nlmixr::nlmixr. +An dataframe suitable for use with nlmixr::nlmixr

+
+
+

Details

+

An mmkin row object is essentially a list of mkinfit objects that have been +obtained by fitting the same model to a list of datasets using mkinfit.

+
+ + +
+

Examples

+ 
# \dontrun{
+ds <- lapply(experimental_data_for_UBA_2019[6:10],
+ function(x) subset(x$data[c("name", "time", "value")]))
+names(ds) <- paste("Dataset", 6:10)
+
+f_mmkin_parent <- mmkin(c("SFO", "FOMC", "DFOP", "HS"), ds, quiet = TRUE, cores = 1)
+f_mmkin_parent_tc <- mmkin(c("SFO", "FOMC", "DFOP"), ds, error_model = "tc",
+  cores = 1, quiet = TRUE)
+
+library(nlmixr)
+#> 
+#> Attaching package: ‘nlmixr’
+#> The following object is masked from ‘package:mkin’:
+#> 
+#>     saem
+f_nlmixr_sfo_saem <- nlmixr(f_mmkin_parent["SFO", ], est = "saem",
+  control = saemControl(print = 0))
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#>  
+#> → generate SAEM model
+#> ✔ done
+#> RxODE 1.1.4 using 8 threads (see ?getRxThreads)
+#>   no cache: create with `rxCreateCache()`
+#> Calculating covariance matrix
+#> 
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> Calculating residuals/tables
+#> done
+f_nlmixr_sfo_focei <- nlmixr(f_mmkin_parent["SFO", ], est = "focei",
+  control = foceiControl(print = 0))
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → calculate jacobian
+#> 
+#> → calculate sensitivities
+#> 
+#> → calculate ∂(f)/∂(η)
+#> 
+#> → calculate ∂(R²)/∂(η)
+#> 
+#> → finding duplicate expressions in inner model...
+#> 
+#> → optimizing duplicate expressions in inner model...
+#> 
+#> → finding duplicate expressions in EBE model...
+#> 
+#> → optimizing duplicate expressions in EBE model...
+#> 
+#> → compiling inner model...
+#>  
+#> ✔ done
+#> → finding duplicate expressions in FD model...
+#> 
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> → compiling events FD model...
+#>  
+#> ✔ done
+#> calculating covariance matrix
+#> done
+#> Calculating residuals/tables
+#> done
+#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))
+#> Warning: ETAs were reset to zero during optimization; (Can control by foceiControl(resetEtaP=.))
+#> Warning: gradient problems with initial estimate and covariance; see $scaleInfo
+
+f_nlmixr_fomc_saem <- nlmixr(f_mmkin_parent["FOMC", ], est = "saem",
+  control = saemControl(print = 0))
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#>  
+#> → generate SAEM model
+#> ✔ done
+#> Calculating covariance matrix
+#> 
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> Calculating residuals/tables
+#> done
+f_nlmixr_fomc_focei <- nlmixr(f_mmkin_parent["FOMC", ], est = "focei",
+  control = foceiControl(print = 0))
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → calculate jacobian
+#> 
+#> → calculate sensitivities
+#> 
+#> → calculate ∂(f)/∂(η)
+#> 
+#> → calculate ∂(R²)/∂(η)
+#> 
+#> → finding duplicate expressions in inner model...
+#> 
+#> → optimizing duplicate expressions in inner model...
+#> 
+#> → finding duplicate expressions in EBE model...
+#> 
+#> → optimizing duplicate expressions in EBE model...
+#> 
+#> → compiling inner model...
+#>  
+#> ✔ done
+#> → finding duplicate expressions in FD model...
+#> 
+#> → optimizing duplicate expressions in FD model...
+#> 
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> → compiling events FD model...
+#>  
+#> ✔ done
+#> calculating covariance matrix
+#> done
+#> Calculating residuals/tables
+#> done
+#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))
+#> Warning: ETAs were reset to zero during optimization; (Can control by foceiControl(resetEtaP=.))
+#> Warning: last objective function was not at minimum, possible problems in optimization
+#> Warning: gradient problems with initial estimate and covariance; see $scaleInfo
+
+f_nlmixr_dfop_saem <- nlmixr(f_mmkin_parent["DFOP", ], est = "saem",
+  control = saemControl(print = 0))
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#>  
+#> → generate SAEM model
+#> ✔ done
+#> Calculating covariance matrix
+#> 
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> Calculating residuals/tables
+#> done
+f_nlmixr_dfop_focei <- nlmixr(f_mmkin_parent["DFOP", ], est = "focei",
+  control = foceiControl(print = 0))
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → calculate jacobian
+#> 
+#> → calculate sensitivities
+#> 
+#> → calculate ∂(f)/∂(η)
+#> 
+#> → calculate ∂(R²)/∂(η)
+#> 
+#> → finding duplicate expressions in inner model...
+#> 
+#> → optimizing duplicate expressions in inner model...
+#> 
+#> → finding duplicate expressions in EBE model...
+#> 
+#> → optimizing duplicate expressions in EBE model...
+#> 
+#> → compiling inner model...
+#>  
+#> ✔ done
+#> → finding duplicate expressions in FD model...
+#> 
+#> → optimizing duplicate expressions in FD model...
+#> 
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> → compiling events FD model...
+#>  
+#> ✔ done
+#> calculating covariance matrix
+#> done
+#> Calculating residuals/tables
+#> done
+#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))
+#> Warning: ETAs were reset to zero during optimization; (Can control by foceiControl(resetEtaP=.))
+#> Warning: gradient problems with initial estimate and covariance; see $scaleInfo
+
+f_nlmixr_hs_saem <- nlmixr(f_mmkin_parent["HS", ], est = "saem",
+  control = saemControl(print = 0))
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#>  
+#> → generate SAEM model
+#> ✔ done
+#> Calculating covariance matrix
+#> 
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> Calculating residuals/tables
+#> done
+f_nlmixr_hs_focei <- nlmixr(f_mmkin_parent["HS", ], est = "focei",
+  control = foceiControl(print = 0))
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → calculate jacobian
+#> 
+#> → calculate sensitivities
+#> 
+#> → calculate ∂(f)/∂(η)
+#> 
+#> → calculate ∂(R²)/∂(η)
+#> 
+#> → finding duplicate expressions in inner model...
+#> 
+#> → optimizing duplicate expressions in inner model...
+#> 
+#> → finding duplicate expressions in EBE model...
+#> 
+#> → optimizing duplicate expressions in EBE model...
+#> 
+#> → compiling inner model...
+#>  
+#> ✔ done
+#> → finding duplicate expressions in FD model...
+#> 
+#> → optimizing duplicate expressions in FD model...
+#> 
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> → compiling events FD model...
+#>  
+#> ✔ done
+#> calculating covariance matrix
+#> done
+#> Calculating residuals/tables
+#> done
+#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))
+#> Warning: ETAs were reset to zero during optimization; (Can control by foceiControl(resetEtaP=.))
+#> Warning: last objective function was not at minimum, possible problems in optimization
+#> Warning: using S matrix to calculate covariance, can check sandwich or R matrix with $covRS and $covR
+#> Warning: gradient problems with initial estimate and covariance; see $scaleInfo
+
+f_nlmixr_fomc_saem_tc <- nlmixr(f_mmkin_parent_tc["FOMC", ], est = "saem",
+  control = saemControl(print = 0))
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#>  
+#> Calculating covariance matrix
+#> 
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> Calculating residuals/tables
+#> done
+f_nlmixr_fomc_focei_tc <- nlmixr(f_mmkin_parent_tc["FOMC", ], est = "focei",
+  control = foceiControl(print = 0))
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → calculate jacobian
+#> 
+#> → calculate sensitivities
+#> 
+#> → calculate ∂(f)/∂(η)
+#> 
+#> → calculate ∂(R²)/∂(η)
+#> 
+#> → finding duplicate expressions in inner model...
+#> 
+#> → optimizing duplicate expressions in inner model...
+#> 
+#> → finding duplicate expressions in EBE model...
+#> 
+#> → optimizing duplicate expressions in EBE model...
+#> 
+#> → compiling inner model...
+#>  
+#> ✔ done
+#> → finding duplicate expressions in FD model...
+#> 
+#> → optimizing duplicate expressions in FD model...
+#> 
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> → compiling events FD model...
+#>  
+#> ✔ done
+#> done
+#> Calculating residuals/tables
+#> done
+#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))
+#> Warning: ETAs were reset to zero during optimization; (Can control by foceiControl(resetEtaP=.))
+#> Warning: last objective function was not at minimum, possible problems in optimization
+#> Warning: parameter estimate near boundary; covariance not calculated:
+#>    "rsd_high" 
+#>  use 'getVarCov' to calculate anyway
+#> Warning: gradient problems with initial estimate; see $scaleInfo
+
+AIC(
+  f_nlmixr_sfo_saem$nm, f_nlmixr_sfo_focei$nm,
+  f_nlmixr_fomc_saem$nm, f_nlmixr_fomc_focei$nm,
+  f_nlmixr_dfop_saem$nm, f_nlmixr_dfop_focei$nm,
+  f_nlmixr_hs_saem$nm, f_nlmixr_hs_focei$nm,
+  f_nlmixr_fomc_saem_tc$nm, f_nlmixr_fomc_focei_tc$nm)
+#> Calculating -2LL by Gaussian quadrature (nnodes=3,nsd=1.6)
+#> 
+#> Calculating -2LL by Gaussian quadrature (nnodes=3,nsd=1.6)
+#> 
+#> Calculating -2LL by Gaussian quadrature (nnodes=3,nsd=1.6)
+#> 
+#> Calculating -2LL by Gaussian quadrature (nnodes=3,nsd=1.6)
+#> 
+#> Calculating -2LL by Gaussian quadrature (nnodes=3,nsd=1.6)
+#> 
+#>                           df      AIC
+#> f_nlmixr_sfo_saem$nm       5 624.9492
+#> f_nlmixr_sfo_focei$nm      5 625.0695
+#> f_nlmixr_fomc_saem$nm      7 463.7577
+#> f_nlmixr_fomc_focei$nm     7 468.0861
+#> f_nlmixr_dfop_saem$nm      9 495.1980
+#> f_nlmixr_dfop_focei$nm     9 495.1072
+#> f_nlmixr_hs_saem$nm        9 531.0689
+#> f_nlmixr_hs_focei$nm       9 545.6728
+#> f_nlmixr_fomc_saem_tc$nm   8 462.1411
+#> f_nlmixr_fomc_focei_tc$nm  8 470.0745
+
+AIC(nlme(f_mmkin_parent["FOMC", ]))
+#> [1] 468.0781
+AIC(nlme(f_mmkin_parent["HS", ]))
+#> [1] 535.609
+
+# The FOCEI fit of FOMC with constant variance or the tc error model is best
+plot(f_nlmixr_fomc_saem_tc)
+
+
+sfo_sfo <- mkinmod(parent = mkinsub("SFO", "A1"),
+  A1 = mkinsub("SFO"), quiet = TRUE)
+fomc_sfo <- mkinmod(parent = mkinsub("FOMC", "A1"),
+  A1 = mkinsub("SFO"), quiet = TRUE)
+dfop_sfo <- mkinmod(parent = mkinsub("DFOP", "A1"),
+  A1 = mkinsub("SFO"), quiet = TRUE)
+
+f_mmkin_const <- mmkin(list(
+    "SFO-SFO" = sfo_sfo, "FOMC-SFO" = fomc_sfo, "DFOP-SFO" = dfop_sfo),
+  ds, quiet = TRUE, error_model = "const")
+f_mmkin_obs <- mmkin(list(
+    "SFO-SFO" = sfo_sfo, "FOMC-SFO" = fomc_sfo, "DFOP-SFO" = dfop_sfo),
+  ds, quiet = TRUE, error_model = "obs")
+f_mmkin_tc <- mmkin(list(
+    "SFO-SFO" = sfo_sfo, "FOMC-SFO" = fomc_sfo, "DFOP-SFO" = dfop_sfo),
+  ds, quiet = TRUE, error_model = "tc")
+
+nlmixr_model(f_mmkin_const["SFO-SFO", ])
+#> Constant variance for more than one variable is not supported for est = 'saem'
+#> Changing the error model to 'obs' (variance by observed variable)
+#> function () 
+#> {
+#>     ini({
+#>         parent_0 = 87
+#>         eta.parent_0 ~ 4.2
+#>         log_k_parent = -3.2
+#>         eta.log_k_parent ~ 1.5
+#>         log_k_A1 = -4.6
+#>         eta.log_k_A1 ~ 0.56
+#>         f_parent_qlogis = -0.33
+#>         eta.f_parent_qlogis ~ 1.1
+#>         sigma_parent = 4.3
+#>         sigma_A1 = 4.3
+#>     })
+#>     model({
+#>         parent_0_model = parent_0 + eta.parent_0
+#>         parent(0) = parent_0_model
+#>         k_parent = exp(log_k_parent + eta.log_k_parent)
+#>         k_A1 = exp(log_k_A1 + eta.log_k_A1)
+#>         f_parent_to_A1 = expit(f_parent_qlogis + eta.f_parent_qlogis)
+#>         d/dt(parent) = -k_parent * parent
+#>         d/dt(A1) = +f_parent_to_A1 * k_parent * parent - k_A1 * 
+#>             A1
+#>         parent ~ add(sigma_parent)
+#>         A1 ~ add(sigma_A1)
+#>     })
+#> }
+#> <environment: 0x555564a5b090>
+
+# A single constant variance is currently only possible with est = 'focei' in nlmixr
+f_nlmixr_sfo_sfo_focei_const <- nlmixr(f_mmkin_const["SFO-SFO", ], est = "focei")
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → calculate jacobian
+#> 
+#> → calculate sensitivities
+#> 
+#> → calculate ∂(f)/∂(η)
+#> 
+#> → calculate ∂(R²)/∂(η)
+#> 
+#> → finding duplicate expressions in inner model...
+#> 
+#> → optimizing duplicate expressions in inner model...
+#> 
+#> → finding duplicate expressions in EBE model...
+#> 
+#> → optimizing duplicate expressions in EBE model...
+#> 
+#> → compiling inner model...
+#>  
+#> ✔ done
+#> → finding duplicate expressions in FD model...
+#> 
+#> → optimizing duplicate expressions in FD model...
+#> 
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> → compiling events FD model...
+#>  
+#> ✔ done
+#> Needed Covariates:
+#> [1] "CMT"
+#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
+#> F: Forward difference gradient approximation
+#> C: Central difference gradient approximation
+#> M: Mixed forward and central difference gradient approximation
+#> Unscaled parameters for Omegas=chol(solve(omega));
+#> Diagonals are transformed, as specified by foceiControl(diagXform=)
+#> |-----+---------------+-----------+-----------+-----------+-----------|
+#> |    #| Objective Fun |  parent_0 |log_k_parent |  log_k_A1 |f_parent_qlogis |
+#> |.....................|     sigma |        o1 |        o2 |        o3 |
+#> |.....................|        o4 |...........|...........|...........|
+#> |    1|     756.61847 |     1.000 |   -0.9694 |    -1.000 |   -0.9068 |
+#> |.....................|   -0.8057 |   -0.8843 |   -0.8798 |   -0.8743 |
+#> |.....................|   -0.8782 |...........|...........|...........|
+#> |    U|     756.61847 |     87.00 |    -3.200 |    -4.600 |   -0.3300 |
+#> |.....................|     4.300 |    0.6985 |    0.9036 |     1.156 |
+#> |.....................|    0.9765 |...........|...........|...........|
+#> |    X|     756.61847 |     87.00 |   0.04076 |   0.01005 |    0.4182 |
+#> |.....................|     4.300 |    0.6985 |    0.9036 |     1.156 |
+#> |.....................|    0.9765 |...........|...........|...........|
+#> |    G|    Gill Diff. |     104.1 |   0.02915 |    0.3320 |    0.4427 |
+#> |.....................|    -29.46 |     6.499 |     3.260 |    -8.158 |
+#> |.....................|    -5.501 |...........|...........|...........|
+#> |    2|     4014.8405 |   0.04387 |   -0.9697 |    -1.003 |   -0.9108 |
+#> |.....................|   -0.5352 |   -0.9440 |   -0.9098 |   -0.7994 |
+#> |.....................|   -0.8277 |...........|...........|...........|
+#> |    U|     4014.8405 |     3.817 |    -3.200 |    -4.603 |   -0.3313 |
+#> |.....................|     4.882 |    0.6569 |    0.8766 |     1.243 |
+#> |.....................|     1.026 |...........|...........|...........|
+#> |    X|     4014.8405 |     3.817 |   0.04075 |   0.01002 |    0.4179 |
+#> |.....................|     4.882 |    0.6569 |    0.8766 |     1.243 |
+#> |.....................|     1.026 |...........|...........|...........|
+#> |    3|     784.09766 |    0.9044 |   -0.9695 |    -1.000 |   -0.9072 |
+#> |.....................|   -0.7786 |   -0.8903 |   -0.8828 |   -0.8668 |
+#> |.....................|   -0.8732 |...........|...........|...........|
+#> |    U|     784.09766 |     78.68 |    -3.200 |    -4.600 |   -0.3301 |
+#> |.....................|     4.358 |    0.6944 |    0.9009 |     1.165 |
+#> |.....................|    0.9814 |...........|...........|...........|
+#> |    X|     784.09766 |     78.68 |   0.04076 |   0.01005 |    0.4182 |
+#> |.....................|     4.358 |    0.6944 |    0.9009 |     1.165 |
+#> |.....................|    0.9814 |...........|...........|...........|
+#> |    4|     755.85897 |    0.9864 |   -0.9694 |    -1.000 |   -0.9068 |
+#> |.....................|   -0.8018 |   -0.8852 |   -0.8803 |   -0.8733 |
+#> |.....................|   -0.8775 |...........|...........|...........|
+#> |    U|     755.85897 |     85.82 |    -3.200 |    -4.600 |   -0.3300 |
+#> |.....................|     4.308 |    0.6979 |    0.9032 |     1.157 |
+#> |.....................|    0.9772 |...........|...........|...........|
+#> |    X|     755.85897 |     85.82 |   0.04076 |   0.01005 |    0.4182 |
+#> |.....................|     4.308 |    0.6979 |    0.9032 |     1.157 |
+#> |.....................|    0.9772 |...........|...........|...........|
+#> |    F| Forward Diff. |    -10.67 |    0.1182 |    0.2197 |    0.3686 |
+#> |.....................|    -28.82 |     3.860 |     3.200 |    -8.294 |
+#> |.....................|    -5.254 |...........|...........|...........|
+#> |    5|     755.50135 |    0.9911 |   -0.9695 |    -1.000 |   -0.9070 |
+#> |.....................|   -0.7893 |   -0.8868 |   -0.8816 |   -0.8697 |
+#> |.....................|   -0.8752 |...........|...........|...........|
+#> |    U|     755.50135 |     86.22 |    -3.200 |    -4.600 |   -0.3301 |
+#> |.....................|     4.335 |    0.6968 |    0.9020 |     1.161 |
+#> |.....................|    0.9794 |...........|...........|...........|
+#> |    X|     755.50135 |     86.22 |   0.04076 |   0.01005 |    0.4182 |
+#> |.....................|     4.335 |    0.6968 |    0.9020 |     1.161 |
+#> |.....................|    0.9794 |...........|...........|...........|
+#> |    6|     755.34910 |    0.9966 |   -0.9695 |    -1.000 |   -0.9072 |
+#> |.....................|   -0.7744 |   -0.8888 |   -0.8833 |   -0.8654 |
+#> |.....................|   -0.8725 |...........|...........|...........|
+#> |    U|      755.3491 |     86.70 |    -3.200 |    -4.600 |   -0.3301 |
+#> |.....................|     4.367 |    0.6954 |    0.9005 |     1.166 |
+#> |.....................|    0.9820 |...........|...........|...........|
+#> |    X|      755.3491 |     86.70 |   0.04076 |   0.01005 |    0.4182 |
+#> |.....................|     4.367 |    0.6954 |    0.9005 |     1.166 |
+#> |.....................|    0.9820 |...........|...........|...........|
+#> |    F| Forward Diff. |     73.92 |   0.04965 |    0.3063 |    0.4373 |
+#> |.....................|    -23.46 |     5.143 |     2.934 |    -7.746 |
+#> |.....................|    -5.165 |...........|...........|...........|
+#> |    7|     754.44379 |    0.9831 |   -0.9697 |    -1.001 |   -0.9076 |
+#> |.....................|   -0.7489 |   -0.8930 |   -0.8865 |   -0.8566 |
+#> |.....................|   -0.8669 |...........|...........|...........|
+#> |    U|     754.44379 |     85.53 |    -3.200 |    -4.601 |   -0.3303 |
+#> |.....................|     4.422 |    0.6925 |    0.8975 |     1.176 |
+#> |.....................|    0.9875 |...........|...........|...........|
+#> |    X|     754.44379 |     85.53 |   0.04075 |   0.01005 |    0.4182 |
+#> |.....................|     4.422 |    0.6925 |    0.8975 |     1.176 |
+#> |.....................|    0.9875 |...........|...........|...........|
+#> |    F| Forward Diff. |    -36.39 |    0.1354 |    0.1953 |    0.3724 |
+#> |.....................|    -19.20 |     3.020 |     2.621 |    -7.506 |
+#> |.....................|    -4.671 |...........|...........|...........|
+#> |    8|     753.82350 |    0.9908 |   -0.9699 |    -1.001 |   -0.9085 |
+#> |.....................|   -0.7249 |   -0.8992 |   -0.8910 |   -0.8427 |
+#> |.....................|   -0.8580 |...........|...........|...........|
+#> |    U|      753.8235 |     86.20 |    -3.200 |    -4.601 |   -0.3306 |
+#> |.....................|     4.474 |    0.6881 |    0.8935 |     1.193 |
+#> |.....................|    0.9962 |...........|...........|...........|
+#> |    X|      753.8235 |     86.20 |   0.04074 |   0.01004 |    0.4181 |
+#> |.....................|     4.474 |    0.6881 |    0.8935 |     1.193 |
+#> |.....................|    0.9962 |...........|...........|...........|
+#> |    F| Forward Diff. |     25.33 |   0.08213 |    0.2542 |    0.4339 |
+#> |.....................|    -14.89 |     3.322 |     2.230 |    -6.934 |
+#> |.....................|    -4.324 |...........|...........|...........|
+#> |    9|     753.42397 |    0.9836 |   -0.9702 |    -1.002 |   -0.9101 |
+#> |.....................|   -0.7094 |   -0.9058 |   -0.8962 |   -0.8215 |
+#> |.....................|   -0.8457 |...........|...........|...........|
+#> |    U|     753.42397 |     85.57 |    -3.201 |    -4.602 |   -0.3311 |
+#> |.....................|     4.507 |    0.6835 |    0.8888 |     1.217 |
+#> |.....................|     1.008 |...........|...........|...........|
+#> |    X|     753.42397 |     85.57 |   0.04073 |   0.01003 |    0.4180 |
+#> |.....................|     4.507 |    0.6835 |    0.8888 |     1.217 |
+#> |.....................|     1.008 |...........|...........|...........|
+#> |    F| Forward Diff. |    -31.38 |    0.1220 |    0.1752 |    0.4111 |
+#> |.....................|    -12.58 |     2.402 |     1.769 |    -6.044 |
+#> |.....................|    -3.541 |...........|...........|...........|
+#> |   10|     753.10125 |    0.9902 |   -0.9707 |    -1.003 |   -0.9128 |
+#> |.....................|   -0.7033 |   -0.9147 |   -0.8999 |   -0.7966 |
+#> |.....................|   -0.8328 |...........|...........|...........|
+#> |    U|     753.10125 |     86.15 |    -3.201 |    -4.603 |   -0.3320 |
+#> |.....................|     4.520 |    0.6773 |    0.8855 |     1.246 |
+#> |.....................|     1.021 |...........|...........|...........|
+#> |    X|     753.10125 |     86.15 |   0.04071 |   0.01002 |    0.4178 |
+#> |.....................|     4.520 |    0.6773 |    0.8855 |     1.246 |
+#> |.....................|     1.021 |...........|...........|...........|
+#> |    F| Forward Diff. |     18.19 |   0.07644 |    0.2005 |    0.4693 |
+#> |.....................|    -11.34 |     2.660 |     1.470 |    -4.866 |
+#> |.....................|    -2.908 |...........|...........|...........|
+#> |   11|     752.83558 |    0.9856 |   -0.9716 |    -1.004 |   -0.9194 |
+#> |.....................|   -0.6931 |   -0.9294 |   -0.8999 |   -0.7740 |
+#> |.....................|   -0.8246 |...........|...........|...........|
+#> |    U|     752.83558 |     85.75 |    -3.202 |    -4.604 |   -0.3342 |
+#> |.....................|     4.542 |    0.6671 |    0.8855 |     1.272 |
+#> |.....................|     1.029 |...........|...........|...........|
+#> |    X|     752.83558 |     85.75 |   0.04067 |   0.01001 |    0.4172 |
+#> |.....................|     4.542 |    0.6671 |    0.8855 |     1.272 |
+#> |.....................|     1.029 |...........|...........|...........|
+#> |    F| Forward Diff. |    -17.42 |   0.09700 |    0.1175 |    0.4453 |
+#> |.....................|    -9.793 |     1.829 |     1.489 |    -3.997 |
+#> |.....................|    -2.337 |...........|...........|...........|
+#> |   12|     752.64046 |    0.9898 |   -0.9731 |    -1.005 |   -0.9331 |
+#> |.....................|   -0.6718 |   -0.9413 |   -0.9101 |   -0.7759 |
+#> |.....................|   -0.8318 |...........|...........|...........|
+#> |    U|     752.64046 |     86.12 |    -3.204 |    -4.605 |   -0.3387 |
+#> |.....................|     4.588 |    0.6587 |    0.8763 |     1.270 |
+#> |.....................|     1.022 |...........|...........|...........|
+#> |    X|     752.64046 |     86.12 |   0.04061 |   0.01000 |    0.4161 |
+#> |.....................|     4.588 |    0.6587 |    0.8763 |     1.270 |
+#> |.....................|     1.022 |...........|...........|...........|
+#> |    F| Forward Diff. |     12.96 |   0.06018 |    0.1556 |    0.4415 |
+#> |.....................|    -6.445 |     1.822 |    0.6282 |    -4.092 |
+#> |.....................|    -2.761 |...........|...........|...........|
+#> |   13|     752.52461 |    0.9874 |   -0.9741 |    -1.006 |   -0.9430 |
+#> |.....................|   -0.6755 |   -0.9483 |   -0.9069 |   -0.7553 |
+#> |.....................|   -0.8127 |...........|...........|...........|
+#> |    U|     752.52461 |     85.90 |    -3.205 |    -4.606 |   -0.3420 |
+#> |.....................|     4.580 |    0.6538 |    0.8792 |     1.294 |
+#> |.....................|     1.040 |...........|...........|...........|
+#> |    X|     752.52461 |     85.90 |   0.04057 |  0.009996 |    0.4153 |
+#> |.....................|     4.580 |    0.6538 |    0.8792 |     1.294 |
+#> |.....................|     1.040 |...........|...........|...........|
+#> |    F| Forward Diff. |    -5.319 |   0.06758 |    0.1323 |    0.4528 |
+#> |.....................|    -7.018 |     1.348 |    0.9128 |    -3.312 |
+#> |.....................|    -1.706 |...........|...........|...........|
+#> |   14|     752.47650 |    0.9920 |   -0.9750 |    -1.008 |   -0.9578 |
+#> |.....................|   -0.6735 |   -0.9481 |   -0.9014 |   -0.7293 |
+#> |.....................|   -0.8100 |...........|...........|...........|
+#> |    U|      752.4765 |     86.30 |    -3.206 |    -4.608 |   -0.3468 |
+#> |.....................|     4.584 |    0.6539 |    0.8841 |     1.324 |
+#> |.....................|     1.043 |...........|...........|...........|
+#> |    X|      752.4765 |     86.30 |   0.04054 |  0.009974 |    0.4142 |
+#> |.....................|     4.584 |    0.6539 |    0.8841 |     1.324 |
+#> |.....................|     1.043 |...........|...........|...........|
+#> |    F| Forward Diff. |     26.38 |   0.03719 |   0.08701 |    0.4621 |
+#> |.....................|    -6.642 |     1.808 |     1.401 |    -2.463 |
+#> |.....................|    -1.595 |...........|...........|...........|
+#> |   15|     752.37074 |    0.9880 |   -0.9759 |    -1.009 |   -0.9778 |
+#> |.....................|   -0.6665 |   -0.9465 |   -0.9156 |   -0.7192 |
+#> |.....................|   -0.8239 |...........|...........|...........|
+#> |    U|     752.37074 |     85.96 |    -3.206 |    -4.609 |   -0.3534 |
+#> |.....................|     4.599 |    0.6551 |    0.8713 |     1.335 |
+#> |.....................|     1.030 |...........|...........|...........|
+#> |    X|     752.37074 |     85.96 |   0.04050 |  0.009963 |    0.4125 |
+#> |.....................|     4.599 |    0.6551 |    0.8713 |     1.335 |
+#> |.....................|     1.030 |...........|...........|...........|
+#> |    F| Forward Diff. |   -0.8866 |   0.05090 |  -0.01541 |    0.3812 |
+#> |.....................|    -5.712 |     1.436 |    0.1646 |    -2.191 |
+#> |.....................|    -2.247 |...........|...........|...........|
+#> |   16|     752.26949 |    0.9921 |   -0.9761 |    -1.009 |   -0.9796 |
+#> |.....................|   -0.6402 |   -0.9531 |   -0.9164 |   -0.7091 |
+#> |.....................|   -0.8135 |...........|...........|...........|
+#> |    U|     752.26949 |     86.31 |    -3.207 |    -4.609 |   -0.3540 |
+#> |.....................|     4.656 |    0.6505 |    0.8706 |     1.347 |
+#> |.....................|     1.040 |...........|...........|...........|
+#> |    X|     752.26949 |     86.31 |   0.04049 |  0.009963 |    0.4124 |
+#> |.....................|     4.656 |    0.6505 |    0.8706 |     1.347 |
+#> |.....................|     1.040 |...........|...........|...........|
+#> |    F| Forward Diff. |     26.82 |   0.02710 |   0.03892 |    0.4267 |
+#> |.....................|    -2.005 |     1.500 |    0.1022 |    -1.862 |
+#> |.....................|    -1.773 |...........|...........|...........|
+#> |   17|     752.20271 |    0.9873 |   -0.9768 |    -1.006 |   -0.9927 |
+#> |.....................|   -0.6361 |   -0.9677 |   -0.9007 |   -0.7162 |
+#> |.....................|   -0.7982 |...........|...........|...........|
+#> |    U|     752.20271 |     85.89 |    -3.207 |    -4.606 |   -0.3584 |
+#> |.....................|     4.664 |    0.6403 |    0.8848 |     1.339 |
+#> |.....................|     1.055 |...........|...........|...........|
+#> |    X|     752.20271 |     85.89 |   0.04046 |  0.009992 |    0.4114 |
+#> |.....................|     4.664 |    0.6403 |    0.8848 |     1.339 |
+#> |.....................|     1.055 |...........|...........|...........|
+#> |    F| Forward Diff. |    -7.259 |   0.05081 |    0.1320 |    0.4166 |
+#> |.....................|    -1.497 |    0.4663 |     1.471 |    -1.984 |
+#> |.....................|   -0.9590 |...........|...........|...........|
+#> |   18|     752.16826 |    0.9883 |   -0.9778 |    -1.006 |    -1.005 |
+#> |.....................|   -0.6437 |   -0.9795 |   -0.9210 |   -0.7076 |
+#> |.....................|   -0.7873 |...........|...........|...........|
+#> |    U|     752.16826 |     85.98 |    -3.208 |    -4.606 |   -0.3626 |
+#> |.....................|     4.648 |    0.6320 |    0.8664 |     1.349 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    X|     752.16826 |     85.98 |   0.04042 |  0.009989 |    0.4103 |
+#> |.....................|     4.648 |    0.6320 |    0.8664 |     1.349 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    F| Forward Diff. |    -1.732 |   0.03428 |    0.1666 |    0.4265 |
+#> |.....................|    -2.413 |    0.2526 |   -0.2557 |    -1.689 |
+#> |.....................|   -0.3553 |...........|...........|...........|
+#> |   19|     752.25223 |    0.9952 |   -0.9788 |    -1.010 |    -1.023 |
+#> |.....................|   -0.6370 |   -0.9826 |   -0.9156 |   -0.6853 |
+#> |.....................|   -0.7912 |...........|...........|...........|
+#> |    U|     752.25223 |     86.58 |    -3.209 |    -4.610 |   -0.3684 |
+#> |.....................|     4.663 |    0.6299 |    0.8713 |     1.374 |
+#> |.....................|     1.061 |...........|...........|...........|
+#> |    X|     752.25223 |     86.58 |   0.04038 |  0.009949 |    0.4089 |
+#> |.....................|     4.663 |    0.6299 |    0.8713 |     1.374 |
+#> |.....................|     1.061 |...........|...........|...........|
+#> |   20|     752.18605 |    0.9920 |   -0.9778 |    -1.007 |    -1.006 |
+#> |.....................|   -0.6387 |   -0.9801 |   -0.9204 |   -0.7040 |
+#> |.....................|   -0.7866 |...........|...........|...........|
+#> |    U|     752.18605 |     86.30 |    -3.208 |    -4.607 |   -0.3629 |
+#> |.....................|     4.659 |    0.6316 |    0.8669 |     1.353 |
+#> |.....................|     1.066 |...........|...........|...........|
+#> |    X|     752.18605 |     86.30 |   0.04042 |  0.009985 |    0.4103 |
+#> |.....................|     4.659 |    0.6316 |    0.8669 |     1.353 |
+#> |.....................|     1.066 |...........|...........|...........|
+#> |   21|     752.16428 |    0.9894 |   -0.9778 |    -1.006 |    -1.006 |
+#> |.....................|   -0.6422 |   -0.9797 |   -0.9208 |   -0.7065 |
+#> |.....................|   -0.7871 |...........|...........|...........|
+#> |    U|     752.16428 |     86.08 |    -3.208 |    -4.606 |   -0.3627 |
+#> |.....................|     4.651 |    0.6319 |    0.8666 |     1.350 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    X|     752.16428 |     86.08 |   0.04042 |  0.009988 |    0.4103 |
+#> |.....................|     4.651 |    0.6319 |    0.8666 |     1.350 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    F| Forward Diff. |     5.144 |   0.02886 |    0.1726 |    0.4333 |
+#> |.....................|    -2.192 |    0.3285 |   -0.2407 |    -1.661 |
+#> |.....................|   -0.3568 |...........|...........|...........|
+#> |   22|     752.15919 |    0.9884 |   -0.9779 |    -1.007 |    -1.007 |
+#> |.....................|   -0.6420 |   -0.9798 |   -0.9206 |   -0.7051 |
+#> |.....................|   -0.7874 |...........|...........|...........|
+#> |    U|     752.15919 |     85.99 |    -3.208 |    -4.607 |   -0.3630 |
+#> |.....................|     4.652 |    0.6319 |    0.8668 |     1.352 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    X|     752.15919 |     85.99 |   0.04042 |  0.009985 |    0.4102 |
+#> |.....................|     4.652 |    0.6319 |    0.8668 |     1.352 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    F| Forward Diff. |    -1.486 |   0.03361 |    0.1549 |    0.4244 |
+#> |.....................|    -2.177 |    0.2364 |   -0.2213 |    -1.616 |
+#> |.....................|   -0.3570 |...........|...........|...........|
+#> |   23|     752.15545 |    0.9894 |   -0.9779 |    -1.007 |    -1.007 |
+#> |.....................|   -0.6405 |   -0.9799 |   -0.9204 |   -0.7040 |
+#> |.....................|   -0.7872 |...........|...........|...........|
+#> |    U|     752.15545 |     86.07 |    -3.208 |    -4.607 |   -0.3631 |
+#> |.....................|     4.655 |    0.6318 |    0.8669 |     1.353 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    X|     752.15545 |     86.07 |   0.04042 |  0.009984 |    0.4102 |
+#> |.....................|     4.655 |    0.6318 |    0.8669 |     1.353 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    F| Forward Diff. |     4.936 |   0.02854 |    0.1600 |    0.4306 |
+#> |.....................|    -1.962 |    0.3065 |   -0.2063 |    -1.586 |
+#> |.....................|   -0.3570 |...........|...........|...........|
+#> |   24|     752.15077 |    0.9884 |   -0.9779 |    -1.007 |    -1.008 |
+#> |.....................|   -0.6403 |   -0.9800 |   -0.9202 |   -0.7026 |
+#> |.....................|   -0.7875 |...........|...........|...........|
+#> |    U|     752.15077 |     85.99 |    -3.209 |    -4.607 |   -0.3635 |
+#> |.....................|     4.656 |    0.6317 |    0.8672 |     1.355 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    X|     752.15077 |     85.99 |   0.04042 |  0.009981 |    0.4101 |
+#> |.....................|     4.656 |    0.6317 |    0.8672 |     1.355 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    F| Forward Diff. |    -1.303 |   0.03292 |    0.1430 |    0.4220 |
+#> |.....................|    -1.955 |    0.2207 |   -0.1874 |    -1.542 |
+#> |.....................|   -0.3581 |...........|...........|...........|
+#> |   25|     752.14731 |    0.9893 |   -0.9780 |    -1.007 |    -1.009 |
+#> |.....................|   -0.6389 |   -0.9801 |   -0.9200 |   -0.7014 |
+#> |.....................|   -0.7873 |...........|...........|...........|
+#> |    U|     752.14731 |     86.07 |    -3.209 |    -4.607 |   -0.3637 |
+#> |.....................|     4.659 |    0.6316 |    0.8673 |     1.356 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    X|     752.14731 |     86.07 |   0.04042 |  0.009980 |    0.4101 |
+#> |.....................|     4.659 |    0.6316 |    0.8673 |     1.356 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    F| Forward Diff. |     4.764 |   0.02806 |    0.1473 |    0.4277 |
+#> |.....................|    -1.749 |    0.2865 |   -0.1727 |    -1.510 |
+#> |.....................|   -0.3572 |...........|...........|...........|
+#> |   26|     752.14299 |    0.9884 |   -0.9780 |    -1.007 |    -1.010 |
+#> |.....................|   -0.6388 |   -0.9801 |   -0.9198 |   -0.7000 |
+#> |.....................|   -0.7876 |...........|...........|...........|
+#> |    U|     752.14299 |     85.99 |    -3.209 |    -4.607 |   -0.3641 |
+#> |.....................|     4.659 |    0.6316 |    0.8675 |     1.358 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    X|     752.14299 |     85.99 |   0.04041 |  0.009978 |    0.4100 |
+#> |.....................|     4.659 |    0.6316 |    0.8675 |     1.358 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    F| Forward Diff. |    -1.130 |   0.03192 |    0.1311 |    0.4194 |
+#> |.....................|    -1.750 |    0.2064 |   -0.1542 |    -1.466 |
+#> |.....................|   -0.3587 |...........|...........|...........|
+#> |   27|     752.13982 |    0.9893 |   -0.9781 |    -1.008 |    -1.010 |
+#> |.....................|   -0.6374 |   -0.9803 |   -0.9196 |   -0.6987 |
+#> |.....................|   -0.7873 |...........|...........|...........|
+#> |    U|     752.13982 |     86.07 |    -3.209 |    -4.608 |   -0.3642 |
+#> |.....................|     4.662 |    0.6315 |    0.8676 |     1.359 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    X|     752.13982 |     86.07 |   0.04041 |  0.009977 |    0.4099 |
+#> |.....................|     4.662 |    0.6315 |    0.8676 |     1.359 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    F| Forward Diff. |     4.635 |   0.02760 |    0.1350 |    0.4248 |
+#> |.....................|    -1.550 |    0.2683 |   -0.1407 |    -1.433 |
+#> |.....................|   -0.3557 |...........|...........|...........|
+#> |   28|     752.13580 |    0.9884 |   -0.9782 |    -1.008 |    -1.012 |
+#> |.....................|   -0.6373 |   -0.9803 |   -0.9194 |   -0.6973 |
+#> |.....................|   -0.7876 |...........|...........|...........|
+#> |    U|      752.1358 |     85.99 |    -3.209 |    -4.608 |   -0.3647 |
+#> |.....................|     4.662 |    0.6315 |    0.8678 |     1.361 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    X|      752.1358 |     85.99 |   0.04041 |  0.009975 |    0.4098 |
+#> |.....................|     4.662 |    0.6315 |    0.8678 |     1.361 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    F| Forward Diff. |   -0.9657 |   0.03147 |    0.1207 |    0.4166 |
+#> |.....................|    -1.557 |    0.1931 |   -0.1227 |    -1.391 |
+#> |.....................|   -0.3574 |...........|...........|...........|
+#> |   29|     752.13295 |    0.9893 |   -0.9782 |    -1.008 |    -1.012 |
+#> |.....................|   -0.6359 |   -0.9805 |   -0.9193 |   -0.6961 |
+#> |.....................|   -0.7873 |...........|...........|...........|
+#> |    U|     752.13295 |     86.07 |    -3.209 |    -4.608 |   -0.3648 |
+#> |.....................|     4.665 |    0.6314 |    0.8679 |     1.362 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    X|     752.13295 |     86.07 |   0.04041 |  0.009973 |    0.4098 |
+#> |.....................|     4.665 |    0.6314 |    0.8679 |     1.362 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    F| Forward Diff. |     4.554 |   0.02702 |    0.1245 |    0.4220 |
+#> |.....................|    -1.357 |    0.2511 |   -0.1114 |    -1.356 |
+#> |.....................|   -0.3512 |...........|...........|...........|
+#> |   30|     752.12919 |    0.9885 |   -0.9783 |    -1.008 |    -1.014 |
+#> |.....................|   -0.6359 |   -0.9804 |   -0.9191 |   -0.6947 |
+#> |.....................|   -0.7876 |...........|...........|...........|
+#> |    U|     752.12919 |     86.00 |    -3.209 |    -4.608 |   -0.3653 |
+#> |.....................|     4.665 |    0.6314 |    0.8681 |     1.364 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    X|     752.12919 |     86.00 |   0.04040 |  0.009972 |    0.4097 |
+#> |.....................|     4.665 |    0.6314 |    0.8681 |     1.364 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    F| Forward Diff. |   -0.8077 |   0.03076 |    0.1104 |    0.4140 |
+#> |.....................|    -1.370 |    0.1799 |  -0.09417 |    -1.307 |
+#> |.....................|   -0.3529 |...........|...........|...........|
+#> |   31|     752.12656 |    0.9893 |   -0.9783 |    -1.008 |    -1.014 |
+#> |.....................|   -0.6345 |   -0.9806 |   -0.9190 |   -0.6934 |
+#> |.....................|   -0.7872 |...........|...........|...........|
+#> |    U|     752.12656 |     86.07 |    -3.209 |    -4.608 |   -0.3654 |
+#> |.....................|     4.668 |    0.6313 |    0.8682 |     1.365 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    X|     752.12656 |     86.07 |   0.04040 |  0.009970 |    0.4096 |
+#> |.....................|     4.668 |    0.6313 |    0.8682 |     1.365 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    F| Forward Diff. |     4.375 |   0.02651 |    0.1140 |    0.4191 |
+#> |.....................|    -1.173 |    0.2330 |  -0.08481 |    -1.281 |
+#> |.....................|   -0.3435 |...........|...........|...........|
+#> |   32|     752.12310 |    0.9885 |   -0.9784 |    -1.008 |    -1.016 |
+#> |.....................|   -0.6345 |   -0.9806 |   -0.9188 |   -0.6922 |
+#> |.....................|   -0.7875 |...........|...........|...........|
+#> |    U|      752.1231 |     86.00 |    -3.209 |    -4.608 |   -0.3659 |
+#> |.....................|     4.668 |    0.6313 |    0.8684 |     1.367 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    X|      752.1231 |     86.00 |   0.04040 |  0.009969 |    0.4095 |
+#> |.....................|     4.668 |    0.6313 |    0.8684 |     1.367 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    F| Forward Diff. |   -0.6515 |   0.02994 |    0.1012 |    0.4113 |
+#> |.....................|    -1.192 |    0.1669 |  -0.06829 |    -1.233 |
+#> |.....................|   -0.3455 |...........|...........|...........|
+#> |   33|     752.12055 |    0.9892 |   -0.9784 |    -1.008 |    -1.016 |
+#> |.....................|   -0.6332 |   -0.9808 |   -0.9187 |   -0.6908 |
+#> |.....................|   -0.7871 |...........|...........|...........|
+#> |    U|     752.12055 |     86.06 |    -3.209 |    -4.608 |   -0.3661 |
+#> |.....................|     4.671 |    0.6312 |    0.8685 |     1.368 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    X|     752.12055 |     86.06 |   0.04040 |  0.009968 |    0.4095 |
+#> |.....................|     4.671 |    0.6312 |    0.8685 |     1.368 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    F| Forward Diff. |     3.998 |   0.02610 |    0.1041 |    0.4159 |
+#> |.....................|    -1.002 |    0.2127 |  -0.06061 |    -1.206 |
+#> |.....................|   -0.3333 |...........|...........|...........|
+#> |   34|     752.11747 |    0.9885 |   -0.9785 |    -1.009 |    -1.018 |
+#> |.....................|   -0.6332 |   -0.9807 |   -0.9185 |   -0.6896 |
+#> |.....................|   -0.7874 |...........|...........|...........|
+#> |    U|     752.11747 |     86.00 |    -3.209 |    -4.609 |   -0.3666 |
+#> |.....................|     4.671 |    0.6312 |    0.8687 |     1.370 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    X|     752.11747 |     86.00 |   0.04039 |  0.009966 |    0.4094 |
+#> |.....................|     4.671 |    0.6312 |    0.8687 |     1.370 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    F| Forward Diff. |   -0.5772 |   0.02918 |   0.09258 |    0.4085 |
+#> |.....................|    -1.024 |    0.1535 |  -0.04467 |    -1.159 |
+#> |.....................|   -0.3360 |...........|...........|...........|
+#> |   35|     752.11522 |    0.9892 |   -0.9785 |    -1.009 |    -1.018 |
+#> |.....................|   -0.6319 |   -0.9809 |   -0.9185 |   -0.6881 |
+#> |.....................|   -0.7870 |...........|...........|...........|
+#> |    U|     752.11522 |     86.06 |    -3.209 |    -4.609 |   -0.3668 |
+#> |.....................|     4.674 |    0.6311 |    0.8687 |     1.371 |
+#> |.....................|     1.066 |...........|...........|...........|
+#> |    X|     752.11522 |     86.06 |   0.04039 |  0.009965 |    0.4093 |
+#> |.....................|     4.674 |    0.6311 |    0.8687 |     1.371 |
+#> |.....................|     1.066 |...........|...........|...........|
+#> |    F| Forward Diff. |     3.959 |   0.02535 |   0.09612 |    0.4130 |
+#> |.....................|   -0.8451 |    0.1980 |  -0.03883 |    -1.121 |
+#> |.....................|   -0.3219 |...........|...........|...........|
+#> |   36|     752.11234 |    0.9885 |   -0.9786 |    -1.009 |    -1.020 |
+#> |.....................|   -0.6320 |   -0.9808 |   -0.9183 |   -0.6870 |
+#> |.....................|   -0.7872 |...........|...........|...........|
+#> |    U|     752.11234 |     86.00 |    -3.209 |    -4.609 |   -0.3673 |
+#> |.....................|     4.673 |    0.6311 |    0.8689 |     1.373 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    X|     752.11234 |     86.00 |   0.04039 |  0.009964 |    0.4092 |
+#> |.....................|     4.673 |    0.6311 |    0.8689 |     1.373 |
+#> |.....................|     1.065 |...........|...........|...........|
+#> |    F| Forward Diff. |   -0.5042 |   0.02791 |   0.08363 |    0.4056 |
+#> |.....................|   -0.8741 |    0.1402 |  -0.02542 |    -1.088 |
+#> |.....................|   -0.3257 |...........|...........|...........|
+#> |   37|     752.11033 |    0.9892 |   -0.9787 |    -1.009 |    -1.020 |
+#> |.....................|   -0.6308 |   -0.9810 |   -0.9182 |   -0.6855 |
+#> |.....................|   -0.7868 |...........|...........|...........|
+#> |    U|     752.11033 |     86.06 |    -3.209 |    -4.609 |   -0.3675 |
+#> |.....................|     4.676 |    0.6310 |    0.8689 |     1.374 |
+#> |.....................|     1.066 |...........|...........|...........|
+#> |    X|     752.11033 |     86.06 |   0.04039 |  0.009963 |    0.4091 |
+#> |.....................|     4.676 |    0.6310 |    0.8689 |     1.374 |
+#> |.....................|     1.066 |...........|...........|...........|
+#> |    F| Forward Diff. |     3.874 |   0.02465 |   0.08719 |    0.4100 |
+#> |.....................|   -0.7032 |    0.1835 |  -0.01978 |    -1.047 |
+#> |.....................|   -0.3084 |...........|...........|...........|
+#> |   38|     752.10764 |    0.9885 |   -0.9787 |    -1.009 |    -1.022 |
+#> |.....................|   -0.6309 |   -0.9810 |   -0.9181 |   -0.6844 |
+#> |.....................|   -0.7870 |...........|...........|...........|
+#> |    U|     752.10764 |     86.00 |    -3.209 |    -4.609 |   -0.3681 |
+#> |.....................|     4.676 |    0.6310 |    0.8691 |     1.376 |
+#> |.....................|     1.066 |...........|...........|...........|
+#> |    X|     752.10764 |     86.00 |   0.04038 |  0.009962 |    0.4090 |
+#> |.....................|     4.676 |    0.6310 |    0.8691 |     1.376 |
+#> |.....................|     1.066 |...........|...........|...........|
+#> |    F| Forward Diff. |   -0.4131 |   0.02699 |   0.07721 |    0.4026 |
+#> |.....................|   -0.7354 |    0.1282 | -0.007503 |    -1.011 |
+#> |.....................|   -0.3125 |...........|...........|...........|
+#> |   39|     752.10572 |    0.9892 |   -0.9788 |    -1.009 |    -1.023 |
+#> |.....................|   -0.6298 |   -0.9812 |   -0.9181 |   -0.6829 |
+#> |.....................|   -0.7865 |...........|...........|...........|
+#> |    U|     752.10572 |     86.06 |    -3.209 |    -4.609 |   -0.3683 |
+#> |.....................|     4.678 |    0.6309 |    0.8691 |     1.377 |
+#> |.....................|     1.066 |...........|...........|...........|
+#> |    X|     752.10572 |     86.06 |   0.04038 |  0.009960 |    0.4090 |
+#> |.....................|     4.678 |    0.6309 |    0.8691 |     1.377 |
+#> |.....................|     1.066 |...........|...........|...........|
+#> |    F| Forward Diff. |     3.580 |   0.02411 |   0.07834 |    0.4067 |
+#> |.....................|   -0.5755 |    0.1666 | -0.003596 |   -0.9604 |
+#> |.....................|   -0.2924 |...........|...........|...........|
+#> |   40|     752.10333 |    0.9885 |   -0.9789 |    -1.009 |    -1.024 |
+#> |.....................|   -0.6300 |   -0.9811 |   -0.9179 |   -0.6819 |
+#> |.....................|   -0.7867 |...........|...........|...........|
+#> |    U|     752.10333 |     86.00 |    -3.209 |    -4.609 |   -0.3688 |
+#> |.....................|     4.678 |    0.6309 |    0.8692 |     1.378 |
+#> |.....................|     1.066 |...........|...........|...........|
+#> |    X|     752.10333 |     86.00 |   0.04038 |  0.009959 |    0.4088 |
+#> |.....................|     4.678 |    0.6309 |    0.8692 |     1.378 |
+#> |.....................|     1.066 |...........|...........|...........|
+#> |    F| Forward Diff. |   -0.3772 |   0.02648 |   0.06875 |    0.3997 |
+#> |.....................|   -0.6082 |    0.1162 |  0.008208 |   -0.9328 |
+#> |.....................|   -0.2962 |...........|...........|...........|
+#> |   41|     752.10169 |    0.9892 |   -0.9789 |    -1.009 |    -1.025 |
+#> |.....................|   -0.6289 |   -0.9813 |   -0.9179 |   -0.6803 |
+#> |.....................|   -0.7862 |...........|...........|...........|
+#> |    U|     752.10169 |     86.06 |    -3.209 |    -4.609 |   -0.3691 |
+#> |.....................|     4.680 |    0.6308 |    0.8692 |     1.380 |
+#> |.....................|     1.066 |...........|...........|...........|
+#> |    X|     752.10169 |     86.06 |   0.04038 |  0.009958 |    0.4088 |
+#> |.....................|     4.680 |    0.6308 |    0.8692 |     1.380 |
+#> |.....................|     1.066 |...........|...........|...........|
+#> |    F| Forward Diff. |     3.644 |   0.02338 |   0.07127 |    0.4037 |
+#> |.....................|   -0.4618 |    0.1554 |  0.009391 |   -0.8908 |
+#> |.....................|   -0.2755 |...........|...........|...........|
+#> |   42|     752.09938 |    0.9886 |   -0.9790 |    -1.009 |    -1.027 |
+#> |.....................|   -0.6291 |   -0.9812 |   -0.9178 |   -0.6794 |
+#> |.....................|   -0.7864 |...........|...........|...........|
+#> |    U|     752.09938 |     86.00 |    -3.210 |    -4.609 |   -0.3697 |
+#> |.....................|     4.680 |    0.6308 |    0.8693 |     1.381 |
+#> |.....................|     1.066 |...........|...........|...........|
+#> |    X|     752.09938 |     86.00 |   0.04037 |  0.009958 |    0.4086 |
+#> |.....................|     4.680 |    0.6308 |    0.8693 |     1.381 |
+#> |.....................|     1.066 |...........|...........|...........|
+#> |    F| Forward Diff. |   -0.2627 |   0.02548 |   0.06256 |    0.3967 |
+#> |.....................|   -0.4955 |    0.1055 |   0.02027 |   -0.8653 |
+#> |.....................|   -0.2789 |...........|...........|...........|
+#> |   43|     752.09757 |    0.9890 |   -0.9791 |    -1.010 |    -1.028 |
+#> |.....................|   -0.6281 |   -0.9814 |   -0.9178 |   -0.6778 |
+#> |.....................|   -0.7859 |...........|...........|...........|
+#> |    U|     752.09757 |     86.05 |    -3.210 |    -4.610 |   -0.3699 |
+#> |.....................|     4.682 |    0.6307 |    0.8693 |     1.383 |
+#> |.....................|     1.067 |...........|...........|...........|
+#> |    X|     752.09757 |     86.05 |   0.04037 |  0.009956 |    0.4086 |
+#> |.....................|     4.682 |    0.6307 |    0.8693 |     1.383 |
+#> |.....................|     1.067 |...........|...........|...........|
+#> |    F| Forward Diff. |     2.867 |   0.02296 |   0.06369 |    0.3997 |
+#> |.....................|   -0.3645 |    0.1327 |   0.01894 |   -0.8216 |
+#> |.....................|   -0.2549 |...........|...........|...........|
+#> |   44|     752.09570 |    0.9886 |   -0.9791 |    -1.010 |    -1.030 |
+#> |.....................|   -0.6283 |   -0.9814 |   -0.9177 |   -0.6770 |
+#> |.....................|   -0.7861 |...........|...........|...........|
+#> |    U|      752.0957 |     86.00 |    -3.210 |    -4.610 |   -0.3705 |
+#> |.....................|     4.681 |    0.6307 |    0.8694 |     1.384 |
+#> |.....................|     1.066 |...........|...........|...........|
+#> |    X|      752.0957 |     86.00 |   0.04037 |  0.009956 |    0.4084 |
+#> |.....................|     4.681 |    0.6307 |    0.8694 |     1.384 |
+#> |.....................|     1.066 |...........|...........|...........|
+#> |    F| Forward Diff. |   -0.2846 |   0.02474 |   0.05675 |    0.3935 |
+#> |.....................|   -0.3960 |   0.09353 |   0.02976 |   -0.7961 |
+#> |.....................|   -0.2595 |...........|...........|...........|
+#> |   45|     752.09434 |    0.9891 |   -0.9792 |    -1.010 |    -1.030 |
+#> |.....................|   -0.6275 |   -0.9816 |   -0.9177 |   -0.6754 |
+#> |.....................|   -0.7856 |...........|...........|...........|
+#> |    U|     752.09434 |     86.05 |    -3.210 |    -4.610 |   -0.3708 |
+#> |.....................|     4.683 |    0.6306 |    0.8694 |     1.386 |
+#> |.....................|     1.067 |...........|...........|...........|
+#> |    X|     752.09434 |     86.05 |   0.04037 |  0.009955 |    0.4083 |
+#> |.....................|     4.683 |    0.6306 |    0.8694 |     1.386 |
+#> |.....................|     1.067 |...........|...........|...........|
+#> |    F| Forward Diff. |     3.348 |   0.02147 |   0.05816 |    0.3967 |
+#> |.....................|   -0.2833 |    0.1286 |   0.02562 |   -0.7529 |
+#> |.....................|   -0.2380 |...........|...........|...........|
+#> |   46|     752.09236 |    0.9886 |   -0.9793 |    -1.010 |    -1.032 |
+#> |.....................|   -0.6277 |   -0.9815 |   -0.9176 |   -0.6746 |
+#> |.....................|   -0.7858 |...........|...........|...........|
+#> |    U|     752.09236 |     86.01 |    -3.210 |    -4.610 |   -0.3715 |
+#> |.....................|     4.683 |    0.6306 |    0.8695 |     1.387 |
+#> |.....................|     1.067 |...........|...........|...........|
+#> |    X|     752.09236 |     86.01 |   0.04036 |  0.009954 |    0.4082 |
+#> |.....................|     4.683 |    0.6306 |    0.8695 |     1.387 |
+#> |.....................|     1.067 |...........|...........|...........|
+#> |    F| Forward Diff. |   -0.1856 |   0.02378 |   0.05144 |    0.3902 |
+#> |.....................|   -0.3147 |   0.08386 |   0.03545 |   -0.7433 |
+#> |.....................|   -0.2408 |...........|...........|...........|
+#> |   47|     752.09077 |    0.9890 |   -0.9793 |    -1.010 |    -1.033 |
+#> |.....................|   -0.6269 |   -0.9817 |   -0.9177 |   -0.6729 |
+#> |.....................|   -0.7852 |...........|...........|...........|
+#> |    U|     752.09077 |     86.04 |    -3.210 |    -4.610 |   -0.3717 |
+#> |.....................|     4.684 |    0.6305 |    0.8694 |     1.389 |
+#> |.....................|     1.067 |...........|...........|...........|
+#> |    X|     752.09077 |     86.04 |   0.04036 |  0.009953 |    0.4081 |
+#> |.....................|     4.684 |    0.6305 |    0.8694 |     1.389 |
+#> |.....................|     1.067 |...........|...........|...........|
+#> |   48|     752.08937 |    0.9892 |   -0.9795 |    -1.010 |    -1.036 |
+#> |.....................|   -0.6267 |   -0.9818 |   -0.9176 |   -0.6714 |
+#> |.....................|   -0.7852 |...........|...........|...........|
+#> |    U|     752.08937 |     86.06 |    -3.210 |    -4.610 |   -0.3725 |
+#> |.....................|     4.685 |    0.6304 |    0.8695 |     1.391 |
+#> |.....................|     1.067 |...........|...........|...........|
+#> |    X|     752.08937 |     86.06 |   0.04036 |  0.009952 |    0.4079 |
+#> |.....................|     4.685 |    0.6304 |    0.8695 |     1.391 |
+#> |.....................|     1.067 |...........|...........|...........|
+#> |    F| Forward Diff. |     3.945 |   0.01952 |   0.05064 |    0.3906 |
+#> |.....................|   -0.1866 |    0.1233 |   0.03740 |   -0.6554 |
+#> |.....................|   -0.2138 |...........|...........|...........|
+#> |   49|     752.08593 |    0.9886 |   -0.9796 |    -1.010 |    -1.040 |
+#> |.....................|   -0.6271 |   -0.9817 |   -0.9174 |   -0.6701 |
+#> |.....................|   -0.7856 |...........|...........|...........|
+#> |    U|     752.08593 |     86.01 |    -3.210 |    -4.610 |   -0.3740 |
+#> |.....................|     4.684 |    0.6305 |    0.8697 |     1.392 |
+#> |.....................|     1.067 |...........|...........|...........|
+#> |    X|     752.08593 |     86.01 |   0.04035 |  0.009951 |    0.4076 |
+#> |.....................|     4.684 |    0.6305 |    0.8697 |     1.392 |
+#> |.....................|     1.067 |...........|...........|...........|
+#> |    F| Forward Diff. |  -0.04707 |   0.02143 |   0.04311 |    0.3795 |
+#> |.....................|   -0.2514 |   0.07631 |   0.05739 |   -0.6184 |
+#> |.....................|   -0.2313 |...........|...........|...........|
+#> |   50|     752.08243 |    0.9889 |   -0.9798 |    -1.010 |    -1.042 |
+#> |.....................|   -0.6256 |   -0.9821 |   -0.9177 |   -0.6665 |
+#> |.....................|   -0.7842 |...........|...........|...........|
+#> |    U|     752.08243 |     86.03 |    -3.210 |    -4.610 |   -0.3748 |
+#> |.....................|     4.687 |    0.6302 |    0.8694 |     1.396 |
+#> |.....................|     1.068 |...........|...........|...........|
+#> |    X|     752.08243 |     86.03 |   0.04034 |  0.009949 |    0.4074 |
+#> |.....................|     4.687 |    0.6302 |    0.8694 |     1.396 |
+#> |.....................|     1.068 |...........|...........|...........|
+#> |   51|     752.07616 |    0.9895 |   -0.9803 |    -1.011 |    -1.054 |
+#> |.....................|   -0.6231 |   -0.9827 |   -0.9181 |   -0.6582 |
+#> |.....................|   -0.7817 |...........|...........|...........|
+#> |    U|     752.07616 |     86.08 |    -3.211 |    -4.611 |   -0.3786 |
+#> |.....................|     4.693 |    0.6298 |    0.8690 |     1.406 |
+#> |.....................|     1.071 |...........|...........|...........|
+#> |    X|     752.07616 |     86.08 |   0.04032 |  0.009942 |    0.4065 |
+#> |.....................|     4.693 |    0.6298 |    0.8690 |     1.406 |
+#> |.....................|     1.071 |...........|...........|...........|
+#> |    F| Forward Diff. |     5.128 |   0.01286 |   0.03023 |    0.3726 |
+#> |.....................|    0.2708 |   0.07184 |  -0.02487 |   -0.2959 |
+#> |.....................|  -0.03882 |...........|...........|...........|
+#> |   52|     752.06706 |    0.9888 |   -0.9810 |    -1.011 |    -1.073 |
+#> |.....................|   -0.6241 |   -0.9834 |   -0.9174 |   -0.6562 |
+#> |.....................|   -0.7830 |...........|...........|...........|
+#> |    U|     752.06706 |     86.03 |    -3.212 |    -4.611 |   -0.3848 |
+#> |.....................|     4.690 |    0.6293 |    0.8696 |     1.408 |
+#> |.....................|     1.069 |...........|...........|...........|
+#> |    X|     752.06706 |     86.03 |   0.04030 |  0.009938 |    0.4050 |
+#> |.....................|     4.690 |    0.6293 |    0.8696 |     1.408 |
+#> |.....................|     1.069 |...........|...........|...........|
+#> |   53|     752.05726 |    0.9892 |   -0.9821 |    -1.012 |    -1.106 |
+#> |.....................|   -0.6257 |   -0.9847 |   -0.9162 |   -0.6528 |
+#> |.....................|   -0.7853 |...........|...........|...........|
+#> |    U|     752.05726 |     86.06 |    -3.213 |    -4.612 |   -0.3958 |
+#> |.....................|     4.687 |    0.6284 |    0.8707 |     1.412 |
+#> |.....................|     1.067 |...........|...........|...........|
+#> |    X|     752.05726 |     86.06 |   0.04025 |  0.009929 |    0.4023 |
+#> |.....................|     4.687 |    0.6284 |    0.8707 |     1.412 |
+#> |.....................|     1.067 |...........|...........|...........|
+#> |   54|     752.04392 |    0.9898 |   -0.9854 |    -1.015 |    -1.200 |
+#> |.....................|   -0.6305 |   -0.9883 |   -0.9128 |   -0.6430 |
+#> |.....................|   -0.7918 |...........|...........|...........|
+#> |    U|     752.04392 |     86.11 |    -3.216 |    -4.615 |   -0.4269 |
+#> |.....................|     4.677 |    0.6259 |    0.8738 |     1.423 |
+#> |.....................|     1.061 |...........|...........|...........|
+#> |    X|     752.04392 |     86.11 |   0.04012 |  0.009906 |    0.3949 |
+#> |.....................|     4.677 |    0.6259 |    0.8738 |     1.423 |
+#> |.....................|     1.061 |...........|...........|...........|
+#> |    F| Forward Diff. |     5.566 |  -0.02004 |   0.02472 |    0.1678 |
+#> |.....................|   -0.6767 | -0.003606 |    0.4773 |   0.08205 |
+#> |.....................|   -0.6933 |...........|...........|...........|
+#> |   55|     752.05860 |    0.9880 |   -0.9900 |    -1.027 |    -1.486 |
+#> |.....................|   -0.6186 |   -0.9338 |   -0.9168 |   -0.6653 |
+#> |.....................|   -0.7443 |...........|...........|...........|
+#> |    U|      752.0586 |     85.96 |    -3.221 |    -4.627 |   -0.5212 |
+#> |.....................|     4.702 |    0.6640 |    0.8702 |     1.398 |
+#> |.....................|     1.107 |...........|...........|...........|
+#> |    X|      752.0586 |     85.96 |   0.03993 |  0.009780 |    0.3726 |
+#> |.....................|     4.702 |    0.6640 |    0.8702 |     1.398 |
+#> |.....................|     1.107 |...........|...........|...........|
+#> |   56|     752.02137 |    0.9885 |   -0.9874 |    -1.020 |    -1.325 |
+#> |.....................|   -0.6252 |   -0.9645 |   -0.9146 |   -0.6528 |
+#> |.....................|   -0.7710 |...........|...........|...........|
+#> |    U|     752.02137 |     86.00 |    -3.218 |    -4.620 |   -0.4681 |
+#> |.....................|     4.688 |    0.6425 |    0.8722 |     1.412 |
+#> |.....................|     1.081 |...........|...........|...........|
+#> |    X|     752.02137 |     86.00 |   0.04004 |  0.009850 |    0.3851 |
+#> |.....................|     4.688 |    0.6425 |    0.8722 |     1.412 |
+#> |.....................|     1.081 |...........|...........|...........|
+#> |    F| Forward Diff. |    -1.728 |  -0.02729 |   0.08518 |   0.04185 |
+#> |.....................|   -0.2367 |    0.4063 |    0.2432 |   0.01436 |
+#> |.....................|  -0.07563 |...........|...........|...........|
+#> |   57|     752.06656 |    0.9886 |   -0.9792 |    -1.053 |    -1.433 |
+#> |.....................|   -0.6165 |    -1.020 |   -0.9133 |   -0.6801 |
+#> |.....................|   -0.7607 |...........|...........|...........|
+#> |    U|     752.06656 |     86.01 |    -3.210 |    -4.653 |   -0.5037 |
+#> |.....................|     4.707 |    0.6037 |    0.8734 |     1.380 |
+#> |.....................|     1.091 |...........|...........|...........|
+#> |    X|     752.06656 |     86.01 |   0.04036 |  0.009533 |    0.3767 |
+#> |.....................|     4.707 |    0.6037 |    0.8734 |     1.380 |
+#> |.....................|     1.091 |...........|...........|...........|
+#> |   58|     752.02137 |    0.9885 |   -0.9874 |    -1.020 |    -1.325 |
+#> |.....................|   -0.6252 |   -0.9645 |   -0.9146 |   -0.6528 |
+#> |.....................|   -0.7710 |...........|...........|...........|
+#> |    U|     752.02137 |     86.00 |    -3.218 |    -4.620 |   -0.4681 |
+#> |.....................|     4.688 |    0.6425 |    0.8722 |     1.412 |
+#> |.....................|     1.081 |...........|...........|...........|
+#> |    X|     752.02137 |     86.00 |   0.04004 |  0.009850 |    0.3851 |
+#> |.....................|     4.688 |    0.6425 |    0.8722 |     1.412 |
+#> |.....................|     1.081 |...........|...........|...........|
+#> calculating covariance matrix
+#> done
+#> Calculating residuals/tables
+#> done
+#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))
+#> Warning: ETAs were reset to zero during optimization; (Can control by foceiControl(resetEtaP=.))
+#> Warning: gradient problems with initial estimate and covariance; see $scaleInfo
+f_nlmixr_fomc_sfo_focei_const <- nlmixr(f_mmkin_const["FOMC-SFO", ], est = "focei")
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → calculate jacobian
+#> 
+#> → calculate sensitivities
+#> 
+#> → calculate ∂(f)/∂(η)
+#> 
+#> → calculate ∂(R²)/∂(η)
+#> 
+#> → finding duplicate expressions in inner model...
+#> 
+#> → optimizing duplicate expressions in inner model...
+#> 
+#> → finding duplicate expressions in EBE model...
+#> 
+#> → optimizing duplicate expressions in EBE model...
+#> 
+#> → compiling inner model...
+#>  
+#> ✔ done
+#> → finding duplicate expressions in FD model...
+#> 
+#> → optimizing duplicate expressions in FD model...
+#> 
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> → compiling events FD model...
+#>  
+#> ✔ done
+#> Needed Covariates:
+#> [1] "CMT"
+#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
+#> F: Forward difference gradient approximation
+#> C: Central difference gradient approximation
+#> M: Mixed forward and central difference gradient approximation
+#> Unscaled parameters for Omegas=chol(solve(omega));
+#> Diagonals are transformed, as specified by foceiControl(diagXform=)
+#> |-----+---------------+-----------+-----------+-----------+-----------|
+#> |    #| Objective Fun |  parent_0 |  log_k_A1 |f_parent_qlogis | log_alpha |
+#> |.....................|  log_beta |     sigma |        o1 |        o2 |
+#> |.....................|        o3 |        o4 |        o5 |...........|
+#> |    1|     494.78160 |     1.000 |    -1.000 |   -0.9115 |   -0.8954 |
+#> |.....................|   -0.8491 |   -0.8592 |   -0.8761 |   -0.8740 |
+#> |.....................|   -0.8674 |   -0.8694 |   -0.8683 |...........|
+#> |    U|      494.7816 |     94.00 |    -5.400 |    -1.000 |   -0.2000 |
+#> |.....................|     2.100 |     1.600 |    0.7598 |    0.8633 |
+#> |.....................|     1.189 |     1.089 |     1.146 |...........|
+#> |    X|      494.7816 |     94.00 |  0.004517 |    0.2689 |    0.8187 |
+#> |.....................|     8.166 |     1.600 |    0.7598 |    0.8633 |
+#> |.....................|     1.189 |     1.089 |     1.146 |...........|
+#> |    G|    Gill Diff. |    -28.01 |     1.933 |   -0.2086 |   0.01492 |
+#> |.....................|   -0.1687 |    -59.79 |     10.74 |     9.966 |
+#> |.....................|    -11.82 |    -8.862 |    -10.52 |...........|
+#> |    2|     1353.4477 |     1.400 |    -1.028 |   -0.9085 |   -0.8956 |
+#> |.....................|   -0.8467 | -0.005584 |    -1.029 |    -1.016 |
+#> |.....................|   -0.6987 |   -0.7429 |   -0.7181 |...........|
+#> |    U|     1353.4477 |     131.6 |    -5.428 |   -0.9970 |   -0.2002 |
+#> |.....................|     2.102 |     2.283 |    0.6433 |    0.7405 |
+#> |.....................|     1.390 |     1.227 |     1.318 |...........|
+#> |    X|     1353.4477 |     131.6 |  0.004394 |    0.2695 |    0.8186 |
+#> |.....................|     8.186 |     2.283 |    0.6433 |    0.7405 |
+#> |.....................|     1.390 |     1.227 |     1.318 |...........|
+#> |    3|     504.82409 |     1.040 |    -1.003 |   -0.9112 |   -0.8954 |
+#> |.....................|   -0.8489 |   -0.7738 |   -0.8914 |   -0.8882 |
+#> |.....................|   -0.8506 |   -0.8568 |   -0.8533 |...........|
+#> |    U|     504.82409 |     97.76 |    -5.403 |   -0.9997 |   -0.2000 |
+#> |.....................|     2.100 |     1.668 |    0.7482 |    0.8511 |
+#> |.....................|     1.209 |     1.103 |     1.163 |...........|
+#> |    X|     504.82409 |     97.76 |  0.004504 |    0.2690 |    0.8187 |
+#> |.....................|     8.168 |     1.668 |    0.7482 |    0.8511 |
+#> |.....................|     1.209 |     1.103 |     1.163 |...........|
+#> |    4|     494.10898 |     1.008 |    -1.001 |   -0.9114 |   -0.8954 |
+#> |.....................|   -0.8490 |   -0.8416 |   -0.8792 |   -0.8769 |
+#> |.....................|   -0.8640 |   -0.8668 |   -0.8652 |...........|
+#> |    U|     494.10898 |     94.77 |    -5.401 |   -0.9999 |   -0.2000 |
+#> |.....................|     2.100 |     1.614 |    0.7574 |    0.8608 |
+#> |.....................|     1.193 |     1.092 |     1.149 |...........|
+#> |    X|     494.10898 |     94.77 |  0.004514 |    0.2690 |    0.8187 |
+#> |.....................|     8.167 |     1.614 |    0.7574 |    0.8608 |
+#> |.....................|     1.193 |     1.092 |     1.149 |...........|
+#> |    F| Forward Diff. |     147.0 |     1.955 |  -0.08761 |   0.06834 |
+#> |.....................|   0.05948 |    -55.61 |     11.89 |     8.304 |
+#> |.....................|    -12.01 |    -8.510 |    -10.24 |...........|
+#> |    5|     492.58255 |    0.9992 |    -1.001 |   -0.9114 |   -0.8954 |
+#> |.....................|   -0.8490 |   -0.8245 |   -0.8825 |   -0.8797 |
+#> |.....................|   -0.8605 |   -0.8643 |   -0.8621 |...........|
+#> |    U|     492.58255 |     93.93 |    -5.401 |   -0.9999 |   -0.2000 |
+#> |.....................|     2.100 |     1.628 |    0.7550 |    0.8584 |
+#> |.....................|     1.197 |     1.095 |     1.153 |...........|
+#> |    X|     492.58255 |     93.93 |  0.004511 |    0.2690 |    0.8187 |
+#> |.....................|     8.167 |     1.628 |    0.7550 |    0.8584 |
+#> |.....................|     1.197 |     1.095 |     1.153 |...........|
+#> |    F| Forward Diff. |    -43.22 |     1.882 |   -0.2206 | -0.004719 |
+#> |.....................|   -0.1970 |    -51.78 |     10.22 |     6.620 |
+#> |.....................|    -11.81 |    -8.346 |    -10.04 |...........|
+#> |    6|     491.66702 |     1.006 |    -1.002 |   -0.9113 |   -0.8954 |
+#> |.....................|   -0.8490 |   -0.8063 |   -0.8860 |   -0.8822 |
+#> |.....................|   -0.8565 |   -0.8614 |   -0.8588 |...........|
+#> |    U|     491.66702 |     94.52 |    -5.402 |   -0.9998 |   -0.2000 |
+#> |.....................|     2.100 |     1.642 |    0.7523 |    0.8562 |
+#> |.....................|     1.202 |     1.098 |     1.157 |...........|
+#> |    X|     491.66702 |     94.52 |  0.004509 |    0.2690 |    0.8187 |
+#> |.....................|     8.167 |     1.642 |    0.7523 |    0.8562 |
+#> |.....................|     1.202 |     1.098 |     1.157 |...........|
+#> |    F| Forward Diff. |     87.79 |     1.893 |   -0.1269 |   0.04418 |
+#> |.....................|  -0.01699 |    -47.85 |     10.34 |     7.758 |
+#> |.....................|    -11.67 |    -8.213 |    -9.916 |...........|
+#> |    7|     490.57489 |    0.9987 |    -1.002 |   -0.9112 |   -0.8954 |
+#> |.....................|   -0.8489 |   -0.7885 |   -0.8895 |   -0.8851 |
+#> |.....................|   -0.8525 |   -0.8586 |   -0.8553 |...........|
+#> |    U|     490.57489 |     93.88 |    -5.402 |   -0.9998 |   -0.2000 |
+#> |.....................|     2.100 |     1.657 |    0.7496 |    0.8537 |
+#> |.....................|     1.207 |     1.101 |     1.161 |...........|
+#> |    X|     490.57489 |     93.88 |  0.004506 |    0.2690 |    0.8187 |
+#> |.....................|     8.168 |     1.657 |    0.7496 |    0.8537 |
+#> |.....................|     1.207 |     1.101 |     1.161 |...........|
+#> |    F| Forward Diff. |    -52.56 |     1.834 |   -0.2285 |  -0.01046 |
+#> |.....................|   -0.2159 |    -44.44 |     9.379 |     7.248 |
+#> |.....................|    -11.47 |    -8.044 |    -9.710 |...........|
+#> |    8|     489.67804 |     1.004 |    -1.003 |   -0.9112 |   -0.8954 |
+#> |.....................|   -0.8489 |   -0.7706 |   -0.8932 |   -0.8884 |
+#> |.....................|   -0.8482 |   -0.8554 |   -0.8516 |...........|
+#> |    U|     489.67804 |     94.42 |    -5.403 |   -0.9997 |   -0.2000 |
+#> |.....................|     2.100 |     1.671 |    0.7468 |    0.8509 |
+#> |.....................|     1.212 |     1.105 |     1.165 |...........|
+#> |    X|     489.67804 |     94.42 |  0.004503 |    0.2690 |    0.8187 |
+#> |.....................|     8.168 |     1.671 |    0.7468 |    0.8509 |
+#> |.....................|     1.212 |     1.105 |     1.165 |...........|
+#> |    F| Forward Diff. |     63.10 |     1.841 |   -0.1396 |   0.03713 |
+#> |.....................|  -0.05177 |    -40.65 |     9.345 |     6.018 |
+#> |.....................|    -11.29 |    -7.879 |    -9.567 |...........|
+#> |    9|     488.80457 |    0.9984 |    -1.004 |   -0.9111 |   -0.8954 |
+#> |.....................|   -0.8488 |   -0.7529 |   -0.8970 |   -0.8913 |
+#> |.....................|   -0.8435 |   -0.8521 |   -0.8475 |...........|
+#> |    U|     488.80457 |     93.85 |    -5.404 |   -0.9996 |   -0.2000 |
+#> |.....................|     2.100 |     1.685 |    0.7439 |    0.8484 |
+#> |.....................|     1.218 |     1.108 |     1.170 |...........|
+#> |    X|     488.80457 |     93.85 |  0.004499 |    0.2690 |    0.8187 |
+#> |.....................|     8.168 |     1.685 |    0.7439 |    0.8484 |
+#> |.....................|     1.218 |     1.108 |     1.170 |...........|
+#> |    F| Forward Diff. |    -56.52 |     1.788 |   -0.2313 |  -0.01570 |
+#> |.....................|   -0.2287 |    -37.43 |     8.740 |     5.512 |
+#> |.....................|    -11.08 |    -7.680 |    -9.353 |...........|
+#> |   10|     487.98244 |     1.004 |    -1.005 |   -0.9110 |   -0.8954 |
+#> |.....................|   -0.8487 |   -0.7356 |   -0.9012 |   -0.8939 |
+#> |.....................|   -0.8380 |   -0.8482 |   -0.8428 |...........|
+#> |    U|     487.98244 |     94.36 |    -5.405 |   -0.9995 |   -0.2000 |
+#> |.....................|     2.100 |     1.699 |    0.7407 |    0.8461 |
+#> |.....................|     1.224 |     1.112 |     1.175 |...........|
+#> |    X|     487.98244 |     94.36 |  0.004495 |    0.2690 |    0.8187 |
+#> |.....................|     8.169 |     1.699 |    0.7407 |    0.8461 |
+#> |.....................|     1.224 |     1.112 |     1.175 |...........|
+#> |    F| Forward Diff. |     49.57 |     1.794 |   -0.1466 |   0.03517 |
+#> |.....................|  -0.07178 |    -34.12 |     8.494 |     6.684 |
+#> |.....................|    -10.82 |    -7.482 |    -9.140 |...........|
+#> |   11|     487.23587 |    0.9987 |    -1.006 |   -0.9109 |   -0.8954 |
+#> |.....................|   -0.8487 |   -0.7192 |   -0.9058 |   -0.8980 |
+#> |.....................|   -0.8316 |   -0.8438 |   -0.8374 |...........|
+#> |    U|     487.23587 |     93.88 |    -5.406 |   -0.9994 |   -0.2001 |
+#> |.....................|     2.100 |     1.712 |    0.7372 |    0.8426 |
+#> |.....................|     1.232 |     1.117 |     1.181 |...........|
+#> |    X|     487.23587 |     93.88 |  0.004490 |    0.2691 |    0.8187 |
+#> |.....................|     8.170 |     1.712 |    0.7372 |    0.8426 |
+#> |.....................|     1.232 |     1.117 |     1.181 |...........|
+#> |    F| Forward Diff. |    -49.22 |     1.745 |   -0.2274 | -0.009194 |
+#> |.....................|   -0.2301 |    -31.48 |     7.992 |     6.132 |
+#> |.....................|    -10.64 |    -7.269 |    -8.903 |...........|
+#> |   12|     486.53337 |     1.004 |    -1.007 |   -0.9107 |   -0.8954 |
+#> |.....................|   -0.8485 |   -0.7047 |   -0.9109 |   -0.9037 |
+#> |.....................|   -0.8240 |   -0.8386 |   -0.8310 |...........|
+#> |    U|     486.53337 |     94.34 |    -5.407 |   -0.9993 |   -0.2001 |
+#> |.....................|     2.101 |     1.724 |    0.7334 |    0.8376 |
+#> |.....................|     1.241 |     1.123 |     1.189 |...........|
+#> |    X|     486.53337 |     94.34 |  0.004484 |    0.2691 |    0.8187 |
+#> |.....................|     8.171 |     1.724 |    0.7334 |    0.8376 |
+#> |.....................|     1.241 |     1.123 |     1.189 |...........|
+#> |    F| Forward Diff. |     43.47 |     1.742 |   -0.1424 |   0.02918 |
+#> |.....................|  -0.07089 |    -28.76 |     7.629 |     4.806 |
+#> |.....................|    -10.24 |    -6.953 |    -8.584 |...........|
+#> |   13|     485.91669 |    0.9989 |    -1.009 |   -0.9105 |   -0.8955 |
+#> |.....................|   -0.8484 |   -0.6920 |   -0.9165 |   -0.9072 |
+#> |.....................|   -0.8145 |   -0.8325 |   -0.8231 |...........|
+#> |    U|     485.91669 |     93.90 |    -5.409 |   -0.9991 |   -0.2001 |
+#> |.....................|     2.101 |     1.734 |    0.7291 |    0.8346 |
+#> |.....................|     1.252 |     1.130 |     1.198 |...........|
+#> |    X|     485.91669 |     93.90 |  0.004476 |    0.2691 |    0.8187 |
+#> |.....................|     8.172 |     1.734 |    0.7291 |    0.8346 |
+#> |.....................|     1.252 |     1.130 |     1.198 |...........|
+#> |    F| Forward Diff. |    -44.30 |     1.699 |   -0.2182 |  0.001936 |
+#> |.....................|   -0.2284 |    -26.86 |     7.286 |     5.487 |
+#> |.....................|    -9.898 |    -6.659 |    -8.234 |...........|
+#> |   14|     485.33976 |     1.003 |    -1.011 |   -0.9103 |   -0.8955 |
+#> |.....................|   -0.8481 |   -0.6819 |   -0.9228 |   -0.9110 |
+#> |.....................|   -0.8035 |   -0.8257 |   -0.8143 |...........|
+#> |    U|     485.33976 |     94.29 |    -5.411 |   -0.9988 |   -0.2001 |
+#> |.....................|     2.101 |     1.742 |    0.7243 |    0.8314 |
+#> |.....................|     1.265 |     1.137 |     1.208 |...........|
+#> |    X|     485.33976 |     94.29 |  0.004467 |    0.2692 |    0.8186 |
+#> |.....................|     8.174 |     1.742 |    0.7243 |    0.8314 |
+#> |.....................|     1.265 |     1.137 |     1.208 |...........|
+#> |   15|     484.77317 |     1.003 |    -1.014 |   -0.9100 |   -0.8956 |
+#> |.....................|   -0.8479 |   -0.6718 |   -0.9302 |   -0.9153 |
+#> |.....................|   -0.7902 |   -0.8175 |   -0.8035 |...........|
+#> |    U|     484.77317 |     94.32 |    -5.414 |   -0.9986 |   -0.2002 |
+#> |.....................|     2.101 |     1.750 |    0.7187 |    0.8276 |
+#> |.....................|     1.281 |     1.146 |     1.220 |...........|
+#> |    X|     484.77317 |     94.32 |  0.004455 |    0.2692 |    0.8186 |
+#> |.....................|     8.176 |     1.750 |    0.7187 |    0.8276 |
+#> |.....................|     1.281 |     1.146 |     1.220 |...........|
+#> |   16|     483.17588 |     1.004 |    -1.023 |   -0.9091 |   -0.8958 |
+#> |.....................|   -0.8469 |   -0.6384 |   -0.9549 |   -0.9296 |
+#> |.....................|   -0.7463 |   -0.7903 |   -0.7681 |...........|
+#> |    U|     483.17588 |     94.41 |    -5.423 |   -0.9976 |   -0.2004 |
+#> |.....................|     2.102 |     1.777 |    0.6999 |    0.8153 |
+#> |.....................|     1.333 |     1.176 |     1.261 |...........|
+#> |    X|     483.17588 |     94.41 |  0.004415 |    0.2694 |    0.8184 |
+#> |.....................|     8.184 |     1.777 |    0.6999 |    0.8153 |
+#> |.....................|     1.333 |     1.176 |     1.261 |...........|
+#> |   17|     481.21481 |     1.006 |    -1.040 |   -0.9072 |   -0.8961 |
+#> |.....................|   -0.8451 |   -0.5721 |    -1.004 |   -0.9579 |
+#> |.....................|   -0.6592 |   -0.7365 |   -0.6977 |...........|
+#> |    U|     481.21481 |     94.58 |    -5.440 |   -0.9958 |   -0.2008 |
+#> |.....................|     2.104 |     1.830 |    0.6628 |    0.7909 |
+#> |.....................|     1.437 |     1.234 |     1.341 |...........|
+#> |    X|     481.21481 |     94.58 |  0.004338 |    0.2698 |    0.8181 |
+#> |.....................|     8.199 |     1.830 |    0.6628 |    0.7909 |
+#> |.....................|     1.437 |     1.234 |     1.341 |...........|
+#> |    F| Forward Diff. |     62.86 |     1.476 |   0.06730 |   0.05792 |
+#> |.....................|    0.1123 |    -8.977 |     1.055 |     2.914 |
+#> |.....................|    -3.044 |    -1.094 |    -2.299 |...........|
+#> |   18|     481.29476 |     1.000 |    -1.145 |   -0.9129 |   -0.8997 |
+#> |.....................|   -0.8485 |   -0.5378 |   -0.8985 |    -1.168 |
+#> |.....................|   -0.6228 |   -0.8149 |   -0.6969 |...........|
+#> |    U|     481.29476 |     94.03 |    -5.545 |    -1.001 |   -0.2043 |
+#> |.....................|     2.101 |     1.857 |    0.7428 |    0.6099 |
+#> |.....................|     1.480 |     1.149 |     1.342 |...........|
+#> |    X|     481.29476 |     94.03 |  0.003907 |    0.2687 |    0.8152 |
+#> |.....................|     8.171 |     1.857 |    0.7428 |    0.6099 |
+#> |.....................|     1.480 |     1.149 |     1.342 |...........|
+#> |   19|     480.77138 |     1.000 |    -1.090 |   -0.9099 |   -0.8978 |
+#> |.....................|   -0.8467 |   -0.5555 |   -0.9542 |    -1.057 |
+#> |.....................|   -0.6419 |   -0.7733 |   -0.6972 |...........|
+#> |    U|     480.77138 |     94.01 |    -5.490 |   -0.9984 |   -0.2025 |
+#> |.....................|     2.102 |     1.843 |    0.7004 |    0.7055 |
+#> |.....................|     1.457 |     1.194 |     1.342 |...........|
+#> |    X|     480.77138 |     94.01 |  0.004129 |    0.2693 |    0.8167 |
+#> |.....................|     8.186 |     1.843 |    0.7004 |    0.7055 |
+#> |.....................|     1.457 |     1.194 |     1.342 |...........|
+#> |    F| Forward Diff. |    -25.72 |     1.151 |   0.08772 | -0.007897 |
+#> |.....................|  -0.07232 |    -6.930 |     3.330 |    -2.491 |
+#> |.....................|    -2.626 |    -3.111 |    -2.500 |...........|
+#> |   20|     480.61717 |     1.001 |    -1.203 |   -0.9227 |   -0.9002 |
+#> |.....................|   -0.8503 |   -0.5418 |   -0.9405 |    -1.001 |
+#> |.....................|   -0.6281 |   -0.7705 |   -0.6908 |...........|
+#> |    U|     480.61717 |     94.09 |    -5.603 |    -1.011 |   -0.2049 |
+#> |.....................|     2.099 |     1.854 |    0.7108 |    0.7537 |
+#> |.....................|     1.474 |     1.197 |     1.349 |...........|
+#> |    X|     480.61717 |     94.09 |  0.003688 |    0.2667 |    0.8147 |
+#> |.....................|     8.156 |     1.854 |    0.7108 |    0.7537 |
+#> |.....................|     1.474 |     1.197 |     1.349 |...........|
+#> |    F| Forward Diff. |    -10.61 |    0.9224 |   -0.5881 |  -0.06621 |
+#> |.....................|   -0.1838 |    -5.929 |     3.775 |     2.798 |
+#> |.....................|    -1.936 |    -2.993 |    -2.208 |...........|
+#> |   21|     480.72130 |     1.009 |    -1.314 |   -0.9169 |   -0.9003 |
+#> |.....................|   -0.8494 |   -0.5516 |   -0.9873 |    -1.003 |
+#> |.....................|   -0.6340 |   -0.7292 |   -0.6819 |...........|
+#> |    U|      480.7213 |     94.81 |    -5.714 |    -1.005 |   -0.2049 |
+#> |.....................|     2.100 |     1.846 |    0.6753 |    0.7523 |
+#> |.....................|     1.467 |     1.242 |     1.359 |...........|
+#> |    X|      480.7213 |     94.81 |  0.003299 |    0.2679 |    0.8147 |
+#> |.....................|     8.163 |     1.846 |    0.6753 |    0.7523 |
+#> |.....................|     1.467 |     1.242 |     1.359 |...........|
+#> |   22|     480.86254 |     1.009 |    -1.247 |   -0.9202 |   -0.9002 |
+#> |.....................|   -0.8499 |   -0.5429 |   -0.9605 |    -1.003 |
+#> |.....................|   -0.6295 |   -0.7530 |   -0.6863 |...........|
+#> |    U|     480.86254 |     94.84 |    -5.647 |    -1.009 |   -0.2048 |
+#> |.....................|     2.099 |     1.853 |    0.6957 |    0.7520 |
+#> |.....................|     1.472 |     1.216 |     1.354 |...........|
+#> |    X|     480.86254 |     94.84 |  0.003530 |    0.2672 |    0.8148 |
+#> |.....................|     8.160 |     1.853 |    0.6957 |    0.7520 |
+#> |.....................|     1.472 |     1.216 |     1.354 |...........|
+#> |   23|     480.98412 |     1.009 |    -1.209 |   -0.9220 |   -0.9002 |
+#> |.....................|   -0.8501 |   -0.5381 |   -0.9458 |    -1.003 |
+#> |.....................|   -0.6270 |   -0.7661 |   -0.6887 |...........|
+#> |    U|     480.98412 |     94.85 |    -5.609 |    -1.010 |   -0.2048 |
+#> |.....................|     2.099 |     1.857 |    0.7069 |    0.7519 |
+#> |.....................|     1.475 |     1.202 |     1.352 |...........|
+#> |    X|     480.98412 |     94.85 |  0.003664 |    0.2669 |    0.8148 |
+#> |.....................|     8.158 |     1.857 |    0.7069 |    0.7519 |
+#> |.....................|     1.475 |     1.202 |     1.352 |...........|
+#> |   24|     480.60990 |     1.003 |    -1.203 |   -0.9226 |   -0.9002 |
+#> |.....................|   -0.8503 |   -0.5410 |   -0.9411 |    -1.001 |
+#> |.....................|   -0.6278 |   -0.7701 |   -0.6905 |...........|
+#> |    U|      480.6099 |     94.24 |    -5.603 |    -1.011 |   -0.2049 |
+#> |.....................|     2.099 |     1.855 |    0.7104 |    0.7534 |
+#> |.....................|     1.474 |     1.198 |     1.350 |...........|
+#> |    X|      480.6099 |     94.24 |  0.003688 |    0.2668 |    0.8148 |
+#> |.....................|     8.156 |     1.855 |    0.7104 |    0.7534 |
+#> |.....................|     1.474 |     1.198 |     1.350 |...........|
+#> |    F| Forward Diff. |     15.29 |    0.9278 |   -0.5289 |  -0.04762 |
+#> |.....................|   -0.1043 |    -5.468 |     3.876 |    0.6273 |
+#> |.....................|    -1.897 |    -2.941 |    -2.183 |...........|
+#> |   25|     480.59557 |     1.001 |    -1.204 |   -0.9225 |   -0.9002 |
+#> |.....................|   -0.8503 |   -0.5407 |   -0.9419 |    -1.001 |
+#> |.....................|   -0.6277 |   -0.7694 |   -0.6902 |...........|
+#> |    U|     480.59557 |     94.13 |    -5.604 |    -1.011 |   -0.2049 |
+#> |.....................|     2.099 |     1.855 |    0.7098 |    0.7533 |
+#> |.....................|     1.474 |     1.198 |     1.350 |...........|
+#> |    X|     480.59557 |     94.13 |  0.003683 |    0.2668 |    0.8148 |
+#> |.....................|     8.157 |     1.855 |    0.7098 |    0.7533 |
+#> |.....................|     1.474 |     1.198 |     1.350 |...........|
+#> |    F| Forward Diff. |    -4.733 |    0.9212 |   -0.5619 |  -0.05855 |
+#> |.....................|   -0.1664 |    -5.388 |     3.833 |    0.5854 |
+#> |.....................|    -1.924 |    -2.927 |    -2.102 |...........|
+#> |   26|     480.58581 |     1.002 |    -1.204 |   -0.9224 |   -0.9002 |
+#> |.....................|   -0.8502 |   -0.5395 |   -0.9428 |    -1.002 |
+#> |.....................|   -0.6273 |   -0.7688 |   -0.6897 |...........|
+#> |    U|     480.58581 |     94.23 |    -5.604 |    -1.011 |   -0.2048 |
+#> |.....................|     2.099 |     1.856 |    0.7092 |    0.7532 |
+#> |.....................|     1.475 |     1.199 |     1.351 |...........|
+#> |    X|     480.58581 |     94.23 |  0.003683 |    0.2668 |    0.8148 |
+#> |.....................|     8.157 |     1.856 |    0.7092 |    0.7532 |
+#> |.....................|     1.475 |     1.199 |     1.351 |...........|
+#> |    F| Forward Diff. |     12.31 |    0.9226 |   -0.5246 |  -0.05019 |
+#> |.....................|   -0.1134 |    -5.293 |     3.771 |    0.5822 |
+#> |.....................|    -1.938 |    -2.904 |    -2.175 |...........|
+#> |   27|     480.57360 |     1.001 |    -1.205 |   -0.9222 |   -0.9002 |
+#> |.....................|   -0.8502 |   -0.5392 |   -0.9437 |    -1.002 |
+#> |.....................|   -0.6271 |   -0.7681 |   -0.6894 |...........|
+#> |    U|      480.5736 |     94.13 |    -5.605 |    -1.011 |   -0.2048 |
+#> |.....................|     2.099 |     1.856 |    0.7085 |    0.7532 |
+#> |.....................|     1.475 |     1.200 |     1.351 |...........|
+#> |    X|      480.5736 |     94.13 |  0.003678 |    0.2668 |    0.8148 |
+#> |.....................|     8.157 |     1.856 |    0.7085 |    0.7532 |
+#> |.....................|     1.475 |     1.200 |     1.351 |...........|
+#> |    F| Forward Diff. |    -4.864 |    0.9151 |   -0.5515 |  -0.06112 |
+#> |.....................|   -0.1679 |    -5.184 |     3.617 |    0.5746 |
+#> |.....................|    -1.832 |    -2.849 |    -2.141 |...........|
+#> |   28|     480.56429 |     1.002 |    -1.206 |   -0.9220 |   -0.9002 |
+#> |.....................|   -0.8502 |   -0.5382 |   -0.9446 |    -1.002 |
+#> |.....................|   -0.6268 |   -0.7674 |   -0.6889 |...........|
+#> |    U|     480.56429 |     94.23 |    -5.606 |    -1.011 |   -0.2048 |
+#> |.....................|     2.099 |     1.857 |    0.7078 |    0.7531 |
+#> |.....................|     1.475 |     1.201 |     1.351 |...........|
+#> |    X|     480.56429 |     94.23 |  0.003676 |    0.2669 |    0.8148 |
+#> |.....................|     8.158 |     1.857 |    0.7078 |    0.7531 |
+#> |.....................|     1.475 |     1.201 |     1.351 |...........|
+#> |    F| Forward Diff. |     12.18 |    0.9169 |   -0.5105 |  -0.05061 |
+#> |.....................|   -0.1125 |    -5.131 |     3.532 |    0.5638 |
+#> |.....................|    -1.931 |    -2.821 |    -2.132 |...........|
+#> |   29|     480.55246 |     1.001 |    -1.207 |   -0.9218 |   -0.9002 |
+#> |.....................|   -0.8501 |   -0.5380 |   -0.9454 |    -1.002 |
+#> |.....................|   -0.6266 |   -0.7667 |   -0.6886 |...........|
+#> |    U|     480.55246 |     94.13 |    -5.607 |    -1.010 |   -0.2048 |
+#> |.....................|     2.099 |     1.857 |    0.7071 |    0.7532 |
+#> |.....................|     1.476 |     1.201 |     1.352 |...........|
+#> |    X|     480.55246 |     94.13 |  0.003672 |    0.2669 |    0.8148 |
+#> |.....................|     8.158 |     1.857 |    0.7071 |    0.7532 |
+#> |.....................|     1.476 |     1.201 |     1.352 |...........|
+#> |    F| Forward Diff. |    -4.480 |    0.9098 |   -0.5353 |  -0.06055 |
+#> |.....................|   -0.1647 |    -5.053 |     3.625 |    0.5654 |
+#> |.....................|    -1.860 |    -2.782 |    -2.112 |...........|
+#> |   30|     480.54335 |     1.002 |    -1.207 |   -0.9217 |   -0.9002 |
+#> |.....................|   -0.8501 |   -0.5368 |   -0.9463 |    -1.002 |
+#> |.....................|   -0.6262 |   -0.7660 |   -0.6881 |...........|
+#> |    U|     480.54335 |     94.23 |    -5.607 |    -1.010 |   -0.2048 |
+#> |.....................|     2.099 |     1.858 |    0.7065 |    0.7530 |
+#> |.....................|     1.476 |     1.202 |     1.352 |...........|
+#> |    X|     480.54335 |     94.23 |  0.003671 |    0.2669 |    0.8148 |
+#> |.....................|     8.158 |     1.858 |    0.7065 |    0.7530 |
+#> |.....................|     1.476 |     1.202 |     1.352 |...........|
+#> |    F| Forward Diff. |     12.09 |    0.9120 |   -0.4955 |  -0.05014 |
+#> |.....................|   -0.1107 |    -4.912 |     3.583 |    0.5835 |
+#> |.....................|    -1.814 |    -2.702 |    -2.057 |...........|
+#> |   31|     480.53185 |     1.001 |    -1.209 |   -0.9215 |   -0.9002 |
+#> |.....................|   -0.8500 |   -0.5366 |   -0.9472 |    -1.002 |
+#> |.....................|   -0.6260 |   -0.7654 |   -0.6878 |...........|
+#> |    U|     480.53185 |     94.13 |    -5.609 |    -1.010 |   -0.2048 |
+#> |.....................|     2.099 |     1.858 |    0.7058 |    0.7531 |
+#> |.....................|     1.476 |     1.203 |     1.353 |...........|
+#> |    X|     480.53185 |     94.13 |  0.003666 |    0.2670 |    0.8148 |
+#> |.....................|     8.158 |     1.858 |    0.7058 |    0.7531 |
+#> |.....................|     1.476 |     1.203 |     1.353 |...........|
+#> |    F| Forward Diff. |    -4.509 |    0.9048 |   -0.5214 |  -0.06027 |
+#> |.....................|   -0.1665 |    -4.870 |     3.525 |    0.5641 |
+#> |.....................|    -1.813 |    -2.699 |    -2.069 |...........|
+#> |   32|     480.52276 |     1.002 |    -1.209 |   -0.9214 |   -0.9001 |
+#> |.....................|   -0.8500 |   -0.5356 |   -0.9481 |    -1.002 |
+#> |.....................|   -0.6256 |   -0.7647 |   -0.6873 |...........|
+#> |    U|     480.52276 |     94.22 |    -5.609 |    -1.010 |   -0.2048 |
+#> |.....................|     2.099 |     1.859 |    0.7051 |    0.7530 |
+#> |.....................|     1.477 |     1.203 |     1.353 |...........|
+#> |    X|     480.52276 |     94.22 |  0.003664 |    0.2670 |    0.8148 |
+#> |.....................|     8.159 |     1.859 |    0.7051 |    0.7530 |
+#> |.....................|     1.477 |     1.203 |     1.353 |...........|
+#> |    F| Forward Diff. |     11.38 |    0.9060 |   -0.4821 |  -0.05014 |
+#> |.....................|   -0.1110 |    -4.747 |     3.479 |    0.5798 |
+#> |.....................|    -1.777 |    -2.636 |    -2.020 |...........|
+#> |   33|     480.51194 |     1.001 |    -1.211 |   -0.9212 |   -0.9001 |
+#> |.....................|   -0.8500 |   -0.5355 |   -0.9490 |    -1.002 |
+#> |.....................|   -0.6255 |   -0.7641 |   -0.6869 |...........|
+#> |    U|     480.51194 |     94.13 |    -5.611 |    -1.010 |   -0.2048 |
+#> |.....................|     2.099 |     1.859 |    0.7044 |    0.7530 |
+#> |.....................|     1.477 |     1.204 |     1.354 |...........|
+#> |    X|     480.51194 |     94.13 |  0.003659 |    0.2670 |    0.8148 |
+#> |.....................|     8.159 |     1.859 |    0.7044 |    0.7530 |
+#> |.....................|     1.477 |     1.204 |     1.354 |...........|
+#> |    F| Forward Diff. |    -4.485 |    0.8991 |   -0.5064 |  -0.06148 |
+#> |.....................|   -0.1643 |    -4.758 |     3.403 |    0.5432 |
+#> |.....................|    -1.772 |    -2.633 |    -2.022 |...........|
+#> |   34|     480.50302 |     1.002 |    -1.211 |   -0.9210 |   -0.9001 |
+#> |.....................|   -0.8499 |   -0.5345 |   -0.9500 |    -1.002 |
+#> |.....................|   -0.6251 |   -0.7633 |   -0.6864 |...........|
+#> |    U|     480.50302 |     94.22 |    -5.611 |    -1.010 |   -0.2047 |
+#> |.....................|     2.099 |     1.860 |    0.7037 |    0.7529 |
+#> |.....................|     1.477 |     1.205 |     1.354 |...........|
+#> |    X|     480.50302 |     94.22 |  0.003656 |    0.2671 |    0.8149 |
+#> |.....................|     8.159 |     1.860 |    0.7037 |    0.7529 |
+#> |.....................|     1.477 |     1.205 |     1.354 |...........|
+#> |    F| Forward Diff. |     10.83 |    0.8997 |   -0.4680 |  -0.05021 |
+#> |.....................|   -0.1106 |    -4.703 |     3.332 |    0.5674 |
+#> |.....................|    -1.765 |    -2.559 |    -1.986 |...........|
+#> |   35|     480.49281 |     1.001 |    -1.213 |   -0.9209 |   -0.9001 |
+#> |.....................|   -0.8499 |   -0.5344 |   -0.9509 |    -1.002 |
+#> |.....................|   -0.6250 |   -0.7627 |   -0.6860 |...........|
+#> |    U|     480.49281 |     94.13 |    -5.613 |    -1.009 |   -0.2047 |
+#> |.....................|     2.099 |     1.860 |    0.7030 |    0.7529 |
+#> |.....................|     1.478 |     1.206 |     1.355 |...........|
+#> |    X|     480.49281 |     94.13 |  0.003652 |    0.2671 |    0.8149 |
+#> |.....................|     8.160 |     1.860 |    0.7030 |    0.7529 |
+#> |.....................|     1.478 |     1.206 |     1.355 |...........|
+#> |    F| Forward Diff. |    -4.447 |    0.8934 |   -0.4900 |  -0.06030 |
+#> |.....................|   -0.1577 |    -4.708 |     3.266 |    0.5080 |
+#> |.....................|    -1.782 |    -2.544 |    -1.983 |...........|
+#> |   36|     480.48415 |     1.002 |    -1.213 |   -0.9207 |   -0.9001 |
+#> |.....................|   -0.8498 |   -0.5335 |   -0.9518 |    -1.002 |
+#> |.....................|   -0.6246 |   -0.7620 |   -0.6855 |...........|
+#> |    U|     480.48415 |     94.22 |    -5.613 |    -1.009 |   -0.2047 |
+#> |.....................|     2.099 |     1.861 |    0.7023 |    0.7528 |
+#> |.....................|     1.478 |     1.206 |     1.355 |...........|
+#> |    X|     480.48415 |     94.22 |  0.003649 |    0.2671 |    0.8149 |
+#> |.....................|     8.160 |     1.861 |    0.7023 |    0.7528 |
+#> |.....................|     1.478 |     1.206 |     1.355 |...........|
+#> |    F| Forward Diff. |     10.47 |    0.8932 |   -0.4526 |  -0.04997 |
+#> |.....................|   -0.1093 |    -4.502 |     3.250 |    0.5653 |
+#> |.....................|    -1.769 |    -2.486 |    -1.944 |...........|
+#> |   37|     480.47437 |     1.001 |    -1.215 |   -0.9205 |   -0.9001 |
+#> |.....................|   -0.8498 |   -0.5334 |   -0.9527 |    -1.002 |
+#> |.....................|   -0.6244 |   -0.7613 |   -0.6852 |...........|
+#> |    U|     480.47437 |     94.13 |    -5.615 |    -1.009 |   -0.2047 |
+#> |.....................|     2.099 |     1.861 |    0.7016 |    0.7528 |
+#> |.....................|     1.478 |     1.207 |     1.356 |...........|
+#> |    X|     480.47437 |     94.13 |  0.003644 |    0.2672 |    0.8149 |
+#> |.....................|     8.161 |     1.861 |    0.7016 |    0.7528 |
+#> |.....................|     1.478 |     1.207 |     1.356 |...........|
+#> |    F| Forward Diff. |    -4.431 |    0.8869 |   -0.4735 |  -0.05983 |
+#> |.....................|   -0.1554 |    -4.492 |     3.189 |   -0.6996 |
+#> |.....................|    -1.700 |    -2.467 |    -1.937 |...........|
+#> |   38|     480.46651 |     1.002 |    -1.216 |   -0.9203 |   -0.9000 |
+#> |.....................|   -0.8497 |   -0.5326 |   -0.9537 |    -1.002 |
+#> |.....................|   -0.6240 |   -0.7606 |   -0.6847 |...........|
+#> |    U|     480.46651 |     94.21 |    -5.616 |    -1.009 |   -0.2047 |
+#> |.....................|     2.099 |     1.861 |    0.7009 |    0.7530 |
+#> |.....................|     1.479 |     1.208 |     1.356 |...........|
+#> |    X|     480.46651 |     94.21 |  0.003640 |    0.2672 |    0.8149 |
+#> |.....................|     8.161 |     1.861 |    0.7009 |    0.7530 |
+#> |.....................|     1.479 |     1.208 |     1.356 |...........|
+#> |    F| Forward Diff. |     9.502 |    0.8860 |   -0.4381 |  -0.05035 |
+#> |.....................|   -0.1103 |    -4.453 |     3.114 |    0.5384 |
+#> |.....................|    -1.770 |    -2.407 |    -1.897 |...........|
+#> |   39|     480.45755 |     1.001 |    -1.217 |   -0.9200 |   -0.9000 |
+#> |.....................|   -0.8497 |   -0.5325 |   -0.9546 |    -1.002 |
+#> |.....................|   -0.6238 |   -0.7600 |   -0.6843 |...........|
+#> |    U|     480.45755 |     94.13 |    -5.617 |    -1.009 |   -0.2047 |
+#> |.....................|     2.099 |     1.861 |    0.7002 |    0.7530 |
+#> |.....................|     1.479 |     1.209 |     1.357 |...........|
+#> |    X|     480.45755 |     94.13 |  0.003635 |    0.2673 |    0.8149 |
+#> |.....................|     8.162 |     1.861 |    0.7002 |    0.7530 |
+#> |.....................|     1.479 |     1.209 |     1.357 |...........|
+#> |    F| Forward Diff. |    -4.779 |    0.8798 |   -0.4544 |  -0.05816 |
+#> |.....................|   -0.1541 |    -4.432 |     3.060 |    0.5236 |
+#> |.....................|    -1.719 |    -2.365 |    -1.874 |...........|
+#> |   40|     480.44943 |     1.002 |    -1.218 |   -0.9199 |   -0.9000 |
+#> |.....................|   -0.8496 |   -0.5319 |   -0.9555 |    -1.002 |
+#> |.....................|   -0.6235 |   -0.7592 |   -0.6838 |...........|
+#> |    U|     480.44943 |     94.21 |    -5.618 |    -1.008 |   -0.2046 |
+#> |.....................|     2.099 |     1.862 |    0.6995 |    0.7529 |
+#> |.....................|     1.479 |     1.209 |     1.357 |...........|
+#> |    X|     480.44943 |     94.21 |  0.003631 |    0.2673 |    0.8149 |
+#> |.....................|     8.162 |     1.862 |    0.6995 |    0.7529 |
+#> |.....................|     1.479 |     1.209 |     1.357 |...........|
+#> |    F| Forward Diff. |     8.806 |    0.8785 |   -0.4202 |  -0.05024 |
+#> |.....................|   -0.1124 |    -4.289 |     3.039 |    0.5974 |
+#> |.....................|    -1.651 |    -2.322 |    -1.843 |...........|
+#> |   41|     480.44100 |     1.001 |    -1.220 |   -0.9197 |   -0.9000 |
+#> |.....................|   -0.8496 |   -0.5318 |   -0.9564 |    -1.002 |
+#> |.....................|   -0.6233 |   -0.7586 |   -0.6835 |...........|
+#> |    U|       480.441 |     94.13 |    -5.620 |    -1.008 |   -0.2046 |
+#> |.....................|     2.100 |     1.862 |    0.6988 |    0.7529 |
+#> |.....................|     1.480 |     1.210 |     1.358 |...........|
+#> |    X|       480.441 |     94.13 |  0.003626 |    0.2673 |    0.8150 |
+#> |.....................|     8.162 |     1.862 |    0.6988 |    0.7529 |
+#> |.....................|     1.480 |     1.210 |     1.358 |...........|
+#> |    F| Forward Diff. |    -4.662 |    0.8724 |   -0.4382 |  -0.05735 |
+#> |.....................|   -0.1541 |    -4.192 |     3.008 |    0.5718 |
+#> |.....................|    -1.633 |    -2.283 |    -1.828 |...........|
+#> |   42|     480.43316 |     1.002 |    -1.221 |   -0.9195 |   -0.9000 |
+#> |.....................|   -0.8495 |   -0.5313 |   -0.9573 |    -1.002 |
+#> |.....................|   -0.6230 |   -0.7579 |   -0.6830 |...........|
+#> |    U|     480.43316 |     94.21 |    -5.621 |    -1.008 |   -0.2046 |
+#> |.....................|     2.100 |     1.862 |    0.6981 |    0.7529 |
+#> |.....................|     1.480 |     1.211 |     1.358 |...........|
+#> |    X|     480.43316 |     94.21 |  0.003622 |    0.2674 |    0.8150 |
+#> |.....................|     8.163 |     1.862 |    0.6981 |    0.7529 |
+#> |.....................|     1.480 |     1.211 |     1.358 |...........|
+#> |    F| Forward Diff. |     8.374 |    0.8709 |   -0.4057 |  -0.04981 |
+#> |.....................|   -0.1077 |    -4.274 |     2.898 |    0.5670 |
+#> |.....................|    -1.709 |    -2.249 |    -1.806 |...........|
+#> |   43|     480.42514 |     1.001 |    -1.222 |   -0.9194 |   -0.8999 |
+#> |.....................|   -0.8495 |   -0.5312 |   -0.9582 |    -1.002 |
+#> |.....................|   -0.6227 |   -0.7573 |   -0.6826 |...........|
+#> |    U|     480.42514 |     94.13 |    -5.622 |    -1.008 |   -0.2046 |
+#> |.....................|     2.100 |     1.862 |    0.6974 |    0.7529 |
+#> |.....................|     1.480 |     1.212 |     1.359 |...........|
+#> |    X|     480.42514 |     94.13 |  0.003617 |    0.2674 |    0.8150 |
+#> |.....................|     8.163 |     1.862 |    0.6974 |    0.7529 |
+#> |.....................|     1.480 |     1.212 |     1.359 |...........|
+#> |    F| Forward Diff. |    -4.560 |    0.8648 |   -0.4238 |  -0.05673 |
+#> |.....................|   -0.1505 |    -4.130 |     2.894 |    0.5588 |
+#> |.....................|    -1.637 |    -2.210 |    -1.785 |...........|
+#> |   44|     480.41757 |     1.002 |    -1.223 |   -0.9192 |   -0.8999 |
+#> |.....................|   -0.8494 |   -0.5307 |   -0.9591 |    -1.002 |
+#> |.....................|   -0.6223 |   -0.7566 |   -0.6821 |...........|
+#> |    U|     480.41757 |     94.21 |    -5.623 |    -1.008 |   -0.2046 |
+#> |.....................|     2.100 |     1.863 |    0.6967 |    0.7528 |
+#> |.....................|     1.481 |     1.212 |     1.359 |...........|
+#> |    X|     480.41757 |     94.21 |  0.003613 |    0.2674 |    0.8150 |
+#> |.....................|     8.164 |     1.863 |    0.6967 |    0.7528 |
+#> |.....................|     1.481 |     1.212 |     1.359 |...........|
+#> |    F| Forward Diff. |     8.260 |    0.8632 |   -0.3905 |  -0.04898 |
+#> |.....................|   -0.1050 |    -4.163 |     2.793 |    0.5626 |
+#> |.....................|    -1.680 |    -2.170 |    -1.767 |...........|
+#> |   45|     480.40986 |     1.001 |    -1.225 |   -0.9190 |   -0.8999 |
+#> |.....................|   -0.8494 |   -0.5306 |   -0.9600 |    -1.002 |
+#> |.....................|   -0.6221 |   -0.7560 |   -0.6818 |...........|
+#> |    U|     480.40986 |     94.13 |    -5.625 |    -1.008 |   -0.2045 |
+#> |.....................|     2.100 |     1.863 |    0.6961 |    0.7528 |
+#> |.....................|     1.481 |     1.213 |     1.360 |...........|
+#> |    X|     480.40986 |     94.13 |  0.003607 |    0.2675 |    0.8150 |
+#> |.....................|     8.164 |     1.863 |    0.6961 |    0.7528 |
+#> |.....................|     1.481 |     1.213 |     1.360 |...........|
+#> |    F| Forward Diff. |    -4.433 |    0.8570 |   -0.4082 |  -0.05598 |
+#> |.....................|   -0.1439 |    -4.083 |     2.776 |   -0.7191 |
+#> |.....................|    -1.623 |    -2.134 |    -1.744 |...........|
+#> |   46|     480.40309 |     1.002 |    -1.226 |   -0.9188 |   -0.8999 |
+#> |.....................|   -0.8493 |   -0.5301 |   -0.9609 |    -1.002 |
+#> |.....................|   -0.6217 |   -0.7553 |   -0.6813 |...........|
+#> |    U|     480.40309 |     94.20 |    -5.626 |    -1.007 |   -0.2045 |
+#> |.....................|     2.100 |     1.863 |    0.6954 |    0.7529 |
+#> |.....................|     1.481 |     1.214 |     1.360 |...........|
+#> |    X|     480.40309 |     94.20 |  0.003603 |    0.2675 |    0.8151 |
+#> |.....................|     8.165 |     1.863 |    0.6954 |    0.7529 |
+#> |.....................|     1.481 |     1.214 |     1.360 |...........|
+#> |    F| Forward Diff. |     7.640 |    0.8551 |   -0.3719 |  -0.04853 |
+#> |.....................|   -0.1037 |    -4.111 |     2.689 |    0.5674 |
+#> |.....................|    -1.653 |    -2.095 |    -1.726 |...........|
+#> |   47|     480.39597 |     1.001 |    -1.227 |   -0.9185 |   -0.8998 |
+#> |.....................|   -0.8492 |   -0.5300 |   -0.9618 |    -1.002 |
+#> |.....................|   -0.6215 |   -0.7547 |   -0.6809 |...........|
+#> |    U|     480.39597 |     94.13 |    -5.627 |    -1.007 |   -0.2045 |
+#> |.....................|     2.100 |     1.863 |    0.6947 |    0.7530 |
+#> |.....................|     1.482 |     1.214 |     1.361 |...........|
+#> |    X|     480.39597 |     94.13 |  0.003598 |    0.2676 |    0.8151 |
+#> |.....................|     8.165 |     1.863 |    0.6947 |    0.7530 |
+#> |.....................|     1.482 |     1.214 |     1.361 |...........|
+#> |    F| Forward Diff. |    -4.827 |    0.8487 |   -0.3865 |  -0.05558 |
+#> |.....................|   -0.1453 |    -3.997 |     2.662 |    0.5449 |
+#> |.....................|    -1.580 |    -2.061 |    -1.701 |...........|
+#> |   48|     480.38900 |     1.002 |    -1.229 |   -0.9184 |   -0.8998 |
+#> |.....................|   -0.8491 |   -0.5297 |   -0.9626 |    -1.002 |
+#> |.....................|   -0.6211 |   -0.7540 |   -0.6805 |...........|
+#> |    U|       480.389 |     94.20 |    -5.629 |    -1.007 |   -0.2044 |
+#> |.....................|     2.100 |     1.864 |    0.6940 |    0.7529 |
+#> |.....................|     1.482 |     1.215 |     1.361 |...........|
+#> |    X|       480.389 |     94.20 |  0.003593 |    0.2676 |    0.8151 |
+#> |.....................|     8.166 |     1.864 |    0.6940 |    0.7529 |
+#> |.....................|     1.482 |     1.215 |     1.361 |...........|
+#> |    F| Forward Diff. |     7.052 |    0.8465 |   -0.3544 |  -0.04836 |
+#> |.....................|   -0.1022 |    -3.917 |     2.636 |    0.5926 |
+#> |.....................|    -1.553 |    -2.027 |    -1.689 |...........|
+#> |   49|     480.38219 |     1.001 |    -1.230 |   -0.9183 |   -0.8998 |
+#> |.....................|   -0.8491 |   -0.5296 |   -0.9634 |    -1.002 |
+#> |.....................|   -0.6209 |   -0.7534 |   -0.6801 |...........|
+#> |    U|     480.38219 |     94.13 |    -5.630 |    -1.007 |   -0.2044 |
+#> |.....................|     2.100 |     1.864 |    0.6934 |    0.7529 |
+#> |.....................|     1.482 |     1.216 |     1.362 |...........|
+#> |    X|     480.38219 |     94.13 |  0.003587 |    0.2676 |    0.8151 |
+#> |.....................|     8.166 |     1.864 |    0.6934 |    0.7529 |
+#> |.....................|     1.482 |     1.216 |     1.362 |...........|
+#> |    F| Forward Diff. |    -4.619 |    0.8406 |   -0.3725 |  -0.05439 |
+#> |.....................|   -0.1411 |    -3.915 |     2.594 |   -0.6808 |
+#> |.....................|    -1.519 |    -1.986 |    -1.659 |...........|
+#> |   50|     480.37598 |     1.002 |    -1.232 |   -0.9180 |   -0.8998 |
+#> |.....................|   -0.8490 |   -0.5292 |   -0.9644 |    -1.002 |
+#> |.....................|   -0.6206 |   -0.7528 |   -0.6796 |...........|
+#> |    U|     480.37598 |     94.20 |    -5.632 |    -1.007 |   -0.2044 |
+#> |.....................|     2.100 |     1.864 |    0.6927 |    0.7530 |
+#> |.....................|     1.483 |     1.216 |     1.362 |...........|
+#> |    X|     480.37598 |     94.20 |  0.003582 |    0.2677 |    0.8152 |
+#> |.....................|     8.167 |     1.864 |    0.6927 |    0.7530 |
+#> |.....................|     1.483 |     1.216 |     1.362 |...........|
+#> |    F| Forward Diff. |     6.566 |    0.8383 |   -0.3380 |  -0.04700 |
+#> |.....................|  -0.09943 |    -3.949 |     2.377 |    0.5751 |
+#> |.....................|    -1.561 |    -1.951 |    -1.641 |...........|
+#> |   51|     480.36982 |     1.001 |    -1.233 |   -0.9178 |   -0.8997 |
+#> |.....................|   -0.8489 |   -0.5291 |   -0.9651 |    -1.002 |
+#> |.....................|   -0.6204 |   -0.7522 |   -0.6792 |...........|
+#> |    U|     480.36982 |     94.12 |    -5.633 |    -1.006 |   -0.2043 |
+#> |.....................|     2.100 |     1.864 |    0.6922 |    0.7530 |
+#> |.....................|     1.483 |     1.217 |     1.363 |...........|
+#> |    X|     480.36982 |     94.12 |  0.003577 |    0.2677 |    0.8152 |
+#> |.....................|     8.167 |     1.864 |    0.6922 |    0.7530 |
+#> |.....................|     1.483 |     1.217 |     1.363 |...........|
+#> |    F| Forward Diff. |    -5.243 |    0.8317 |   -0.3515 |  -0.05392 |
+#> |.....................|   -0.1358 |    -3.830 |     2.493 |    0.5823 |
+#> |.....................|    -1.510 |    -1.918 |    -1.620 |...........|
+#> |   52|     480.36331 |     1.002 |    -1.235 |   -0.9176 |   -0.8997 |
+#> |.....................|   -0.8489 |   -0.5289 |   -0.9659 |    -1.002 |
+#> |.....................|   -0.6201 |   -0.7516 |   -0.6788 |...........|
+#> |    U|     480.36331 |     94.19 |    -5.635 |    -1.006 |   -0.2043 |
+#> |.....................|     2.100 |     1.864 |    0.6916 |    0.7530 |
+#> |.....................|     1.483 |     1.218 |     1.363 |...........|
+#> |    X|     480.36331 |     94.19 |  0.003572 |    0.2677 |    0.8152 |
+#> |.....................|     8.168 |     1.864 |    0.6916 |    0.7530 |
+#> |.....................|     1.483 |     1.218 |     1.363 |...........|
+#> |    F| Forward Diff. |     5.492 |    0.8288 |   -0.3226 |  -0.04732 |
+#> |.....................|  -0.09956 |    -3.829 |     2.435 |    0.5676 |
+#> |.....................|    -1.517 |    -1.882 |    -1.604 |...........|
+#> |   53|     480.35731 |     1.001 |    -1.236 |   -0.9175 |   -0.8996 |
+#> |.....................|   -0.8488 |   -0.5288 |   -0.9666 |    -1.002 |
+#> |.....................|   -0.6198 |   -0.7510 |   -0.6783 |...........|
+#> |    U|     480.35731 |     94.12 |    -5.636 |    -1.006 |   -0.2043 |
+#> |.....................|     2.100 |     1.864 |    0.6910 |    0.7529 |
+#> |.....................|     1.484 |     1.218 |     1.364 |...........|
+#> |    X|     480.35731 |     94.12 |  0.003566 |    0.2678 |    0.8152 |
+#> |.....................|     8.168 |     1.864 |    0.6910 |    0.7529 |
+#> |.....................|     1.484 |     1.218 |     1.364 |...........|
+#> |    F| Forward Diff. |    -5.442 |    0.8230 |   -0.3401 |  -0.05270 |
+#> |.....................|   -0.1329 |    -3.818 |     2.394 |   -0.6865 |
+#> |.....................|    -1.462 |    -1.826 |    -1.568 |...........|
+#> |   54|     480.35158 |     1.002 |    -1.238 |   -0.9173 |   -0.8996 |
+#> |.....................|   -0.8487 |   -0.5286 |   -0.9675 |    -1.002 |
+#> |.....................|   -0.6197 |   -0.7504 |   -0.6779 |...........|
+#> |    U|     480.35158 |     94.19 |    -5.638 |    -1.006 |   -0.2042 |
+#> |.....................|     2.100 |     1.864 |    0.6904 |    0.7530 |
+#> |.....................|     1.484 |     1.219 |     1.364 |...........|
+#> |    X|     480.35158 |     94.19 |  0.003561 |    0.2678 |    0.8153 |
+#> |.....................|     8.169 |     1.864 |    0.6904 |    0.7530 |
+#> |.....................|     1.484 |     1.219 |     1.364 |...........|
+#> |    F| Forward Diff. |     5.119 |    0.8198 |   -0.3066 |  -0.04724 |
+#> |.....................|   -0.1005 |    -3.787 |     2.338 |    0.5896 |
+#> |.....................|    -1.465 |    -1.812 |    -1.559 |...........|
+#> |   55|     480.34603 |     1.001 |    -1.239 |   -0.9170 |   -0.8996 |
+#> |.....................|   -0.8486 |   -0.5283 |   -0.9683 |    -1.002 |
+#> |.....................|   -0.6195 |   -0.7499 |   -0.6775 |...........|
+#> |    U|     480.34603 |     94.12 |    -5.639 |    -1.006 |   -0.2042 |
+#> |.....................|     2.100 |     1.865 |    0.6897 |    0.7530 |
+#> |.....................|     1.484 |     1.220 |     1.364 |...........|
+#> |    X|     480.34603 |     94.12 |  0.003555 |    0.2679 |    0.8153 |
+#> |.....................|     8.170 |     1.865 |    0.6897 |    0.7530 |
+#> |.....................|     1.484 |     1.220 |     1.364 |...........|
+#> |    F| Forward Diff. |    -5.669 |    0.8137 |   -0.3182 |  -0.05158 |
+#> |.....................|   -0.1292 |    -3.845 |     2.251 |    0.5349 |
+#> |.....................|    -1.532 |    -1.781 |    -1.537 |...........|
+#> |   56|     480.33997 |     1.002 |    -1.241 |   -0.9169 |   -0.8995 |
+#> |.....................|   -0.8486 |   -0.5282 |   -0.9690 |    -1.002 |
+#> |.....................|   -0.6192 |   -0.7493 |   -0.6772 |...........|
+#> |    U|     480.33997 |     94.19 |    -5.641 |    -1.005 |   -0.2041 |
+#> |.....................|     2.101 |     1.865 |    0.6892 |    0.7529 |
+#> |.....................|     1.484 |     1.220 |     1.365 |...........|
+#> |    X|     480.33997 |     94.19 |  0.003550 |    0.2679 |    0.8153 |
+#> |.....................|     8.170 |     1.865 |    0.6892 |    0.7529 |
+#> |.....................|     1.484 |     1.220 |     1.365 |...........|
+#> |    F| Forward Diff. |     4.944 |    0.8109 |   -0.2900 |  -0.04418 |
+#> |.....................|  -0.09220 |    -3.817 |     2.207 |    0.5423 |
+#> |.....................|    -1.530 |    -1.750 |    -1.524 |...........|
+#> |   57|     480.33440 |     1.001 |    -1.242 |   -0.9168 |   -0.8995 |
+#> |.....................|   -0.8485 |   -0.5280 |   -0.9697 |    -1.002 |
+#> |.....................|   -0.6188 |   -0.7487 |   -0.6768 |...........|
+#> |    U|      480.3344 |     94.12 |    -5.642 |    -1.005 |   -0.2041 |
+#> |.....................|     2.101 |     1.865 |    0.6887 |    0.7529 |
+#> |.....................|     1.485 |     1.221 |     1.365 |...........|
+#> |    X|      480.3344 |     94.12 |  0.003544 |    0.2679 |    0.8154 |
+#> |.....................|     8.171 |     1.865 |    0.6887 |    0.7529 |
+#> |.....................|     1.485 |     1.221 |     1.365 |...........|
+#> |    F| Forward Diff. |    -5.630 |    0.8048 |   -0.3070 |  -0.04965 |
+#> |.....................|   -0.1246 |    -3.770 |     2.179 |    0.5400 |
+#> |.....................|    -1.465 |    -1.710 |    -1.500 |...........|
+#> |   58|     480.32852 |     1.002 |    -1.244 |   -0.9167 |   -0.8994 |
+#> |.....................|   -0.8485 |   -0.5278 |   -0.9703 |    -1.002 |
+#> |.....................|   -0.6184 |   -0.7482 |   -0.6764 |...........|
+#> |    U|     480.32852 |     94.19 |    -5.644 |    -1.005 |   -0.2041 |
+#> |.....................|     2.101 |     1.865 |    0.6882 |    0.7528 |
+#> |.....................|     1.485 |     1.221 |     1.366 |...........|
+#> |    X|     480.32852 |     94.19 |  0.003538 |    0.2679 |    0.8154 |
+#> |.....................|     8.171 |     1.865 |    0.6882 |    0.7528 |
+#> |.....................|     1.485 |     1.221 |     1.366 |...........|
+#> |    F| Forward Diff. |     4.819 |    0.8018 |   -0.2789 |  -0.04260 |
+#> |.....................|  -0.08823 |    -3.653 |     2.177 |   -0.6593 |
+#> |.....................|    -1.384 |    -1.678 |    -1.478 |...........|
+#> |   59|     480.32382 |     1.001 |    -1.246 |   -0.9164 |   -0.8994 |
+#> |.....................|   -0.8484 |   -0.5276 |   -0.9711 |    -1.002 |
+#> |.....................|   -0.6183 |   -0.7477 |   -0.6761 |...........|
+#> |    U|     480.32382 |     94.12 |    -5.646 |    -1.005 |   -0.2040 |
+#> |.....................|     2.101 |     1.865 |    0.6876 |    0.7529 |
+#> |.....................|     1.486 |     1.222 |     1.366 |...........|
+#> |    X|     480.32382 |     94.12 |  0.003533 |    0.2680 |    0.8155 |
+#> |.....................|     8.172 |     1.865 |    0.6876 |    0.7529 |
+#> |.....................|     1.486 |     1.222 |     1.366 |...........|
+#> |    F| Forward Diff. |    -5.225 |    0.7951 |   -0.2896 |  -0.04843 |
+#> |.....................|   -0.1194 |    -3.720 |     2.091 |   -0.7072 |
+#> |.....................|    -1.430 |    -1.641 |    -1.454 |...........|
+#> |   60|     480.31902 |     1.002 |    -1.247 |   -0.9160 |   -0.8993 |
+#> |.....................|   -0.8482 |   -0.5273 |   -0.9719 |    -1.002 |
+#> |.....................|   -0.6182 |   -0.7473 |   -0.6757 |...........|
+#> |    U|     480.31902 |     94.19 |    -5.647 |    -1.005 |   -0.2039 |
+#> |.....................|     2.101 |     1.865 |    0.6870 |    0.7531 |
+#> |.....................|     1.486 |     1.222 |     1.367 |...........|
+#> |    X|     480.31902 |     94.19 |  0.003527 |    0.2681 |    0.8155 |
+#> |.....................|     8.173 |     1.865 |    0.6870 |    0.7531 |
+#> |.....................|     1.486 |     1.222 |     1.367 |...........|
+#> |    F| Forward Diff. |     4.904 |    0.7922 |   -0.2469 |  -0.04034 |
+#> |.....................|  -0.08539 |    -3.545 |     2.094 |   -0.6237 |
+#> |.....................|    -1.331 |    -1.619 |    -1.454 |...........|
+#> |   61|     480.31471 |     1.001 |    -1.249 |   -0.9156 |   -0.8993 |
+#> |.....................|   -0.8481 |   -0.5271 |   -0.9727 |    -1.001 |
+#> |.....................|   -0.6181 |   -0.7468 |   -0.6753 |...........|
+#> |    U|     480.31471 |     94.12 |    -5.649 |    -1.004 |   -0.2039 |
+#> |.....................|     2.101 |     1.866 |    0.6864 |    0.7533 |
+#> |.....................|     1.486 |     1.223 |     1.367 |...........|
+#> |    X|     480.31471 |     94.12 |  0.003522 |    0.2681 |    0.8156 |
+#> |.....................|     8.174 |     1.866 |    0.6864 |    0.7533 |
+#> |.....................|     1.486 |     1.223 |     1.367 |...........|
+#> |    F| Forward Diff. |    -5.295 |    0.7853 |   -0.2507 |  -0.04627 |
+#> |.....................|   -0.1126 |    -3.760 |     1.942 |   -0.7288 |
+#> |.....................|    -1.482 |    -1.617 |    -1.436 |...........|
+#> |   62|     480.31013 |     1.002 |    -1.250 |   -0.9152 |   -0.8992 |
+#> |.....................|   -0.8480 |   -0.5269 |   -0.9734 |    -1.001 |
+#> |.....................|   -0.6180 |   -0.7464 |   -0.6750 |...........|
+#> |    U|     480.31013 |     94.19 |    -5.650 |    -1.004 |   -0.2038 |
+#> |.....................|     2.101 |     1.866 |    0.6859 |    0.7535 |
+#> |.....................|     1.486 |     1.223 |     1.367 |...........|
+#> |    X|     480.31013 |     94.19 |  0.003516 |    0.2682 |    0.8156 |
+#> |.....................|     8.175 |     1.866 |    0.6859 |    0.7535 |
+#> |.....................|     1.486 |     1.223 |     1.367 |...........|
+#> |    F| Forward Diff. |     4.435 |    0.7821 |   -0.2118 |  -0.03855 |
+#> |.....................|  -0.07590 |    -3.495 |     2.000 |   -0.6027 |
+#> |.....................|    -1.382 |    -1.576 |    -1.413 |...........|
+#> |   63|     480.30581 |     1.001 |    -1.252 |   -0.9149 |   -0.8991 |
+#> |.....................|   -0.8479 |   -0.5266 |   -0.9741 |    -1.001 |
+#> |.....................|   -0.6178 |   -0.7459 |   -0.6746 |...........|
+#> |    U|     480.30581 |     94.12 |    -5.652 |    -1.003 |   -0.2037 |
+#> |.....................|     2.101 |     1.866 |    0.6854 |    0.7536 |
+#> |.....................|     1.486 |     1.224 |     1.368 |...........|
+#> |    X|     480.30581 |     94.12 |  0.003510 |    0.2683 |    0.8157 |
+#> |.....................|     8.176 |     1.866 |    0.6854 |    0.7536 |
+#> |.....................|     1.486 |     1.224 |     1.368 |...........|
+#> |    F| Forward Diff. |    -5.315 |    0.7789 |   -0.2090 |  -0.03720 |
+#> |.....................|  -0.09944 |    -3.577 |     1.911 |   -0.6518 |
+#> |.....................|    -1.378 |    -1.528 |    -1.376 |...........|
+#> |   64|     480.30125 |     1.002 |    -1.254 |   -0.9146 |   -0.8990 |
+#> |.....................|   -0.8478 |   -0.5264 |   -0.9748 |    -1.001 |
+#> |.....................|   -0.6176 |   -0.7454 |   -0.6743 |...........|
+#> |    U|     480.30125 |     94.19 |    -5.654 |    -1.003 |   -0.2037 |
+#> |.....................|     2.101 |     1.866 |    0.6848 |    0.7538 |
+#> |.....................|     1.486 |     1.224 |     1.368 |...........|
+#> |    X|     480.30125 |     94.19 |  0.003505 |    0.2683 |    0.8157 |
+#> |.....................|     8.177 |     1.866 |    0.6848 |    0.7538 |
+#> |.....................|     1.486 |     1.224 |     1.368 |...........|
+#> |    F| Forward Diff. |     4.353 |    0.7723 |   -0.1834 |  -0.03622 |
+#> |.....................|  -0.07047 |    -3.672 |     1.822 |   -0.6713 |
+#> |.....................|    -1.445 |    -1.532 |    -1.389 |...........|
+#> |   65|     480.29714 |     1.001 |    -1.255 |   -0.9143 |   -0.8990 |
+#> |.....................|   -0.8476 |   -0.5261 |   -0.9754 |    -1.001 |
+#> |.....................|   -0.6174 |   -0.7450 |   -0.6740 |...........|
+#> |    U|     480.29714 |     94.12 |    -5.655 |    -1.003 |   -0.2036 |
+#> |.....................|     2.101 |     1.866 |    0.6843 |    0.7539 |
+#> |.....................|     1.487 |     1.225 |     1.369 |...........|
+#> |    X|     480.29714 |     94.12 |  0.003499 |    0.2684 |    0.8158 |
+#> |.....................|     8.178 |     1.866 |    0.6843 |    0.7539 |
+#> |.....................|     1.487 |     1.225 |     1.369 |...........|
+#> |    F| Forward Diff. |    -5.435 |    0.7663 |   -0.1878 |  -0.03986 |
+#> |.....................|   -0.1019 |    -3.343 |     1.893 |    0.6711 |
+#> |.....................|    -1.269 |    -1.487 |    -1.354 |...........|
+#> |   66|     480.29215 |     1.002 |    -1.257 |   -0.9143 |   -0.8989 |
+#> |.....................|   -0.8476 |   -0.5260 |   -0.9760 |    -1.001 |
+#> |.....................|   -0.6172 |   -0.7444 |   -0.6736 |...........|
+#> |    U|     480.29215 |     94.18 |    -5.657 |    -1.003 |   -0.2036 |
+#> |.....................|     2.102 |     1.867 |    0.6839 |    0.7538 |
+#> |.....................|     1.487 |     1.226 |     1.369 |...........|
+#> |    X|     480.29215 |     94.18 |  0.003493 |    0.2684 |    0.8158 |
+#> |.....................|     8.179 |     1.867 |    0.6839 |    0.7538 |
+#> |.....................|     1.487 |     1.226 |     1.369 |...........|
+#> |    F| Forward Diff. |     4.161 |    0.7621 |   -0.1686 |  -0.03452 |
+#> |.....................|  -0.06632 |    -3.552 |     1.775 |    0.6057 |
+#> |.....................|    -1.379 |    -1.473 |    -1.364 |...........|
+#> |   67|     480.28721 |     1.001 |    -1.259 |   -0.9145 |   -0.8989 |
+#> |.....................|   -0.8476 |   -0.5257 |   -0.9765 |    -1.001 |
+#> |.....................|   -0.6170 |   -0.7439 |   -0.6732 |...........|
+#> |    U|     480.28721 |     94.12 |    -5.659 |    -1.003 |   -0.2035 |
+#> |.....................|     2.102 |     1.867 |    0.6836 |    0.7537 |
+#> |.....................|     1.487 |     1.226 |     1.369 |...........|
+#> |    X|     480.28721 |     94.12 |  0.003487 |    0.2684 |    0.8159 |
+#> |.....................|     8.179 |     1.867 |    0.6836 |    0.7537 |
+#> |.....................|     1.487 |     1.226 |     1.369 |...........|
+#> |    F| Forward Diff. |    -4.925 |    0.7584 |   -0.1913 |  -0.03513 |
+#> |.....................|  -0.09132 |    -3.418 |     1.781 |   -0.6203 |
+#> |.....................|    -1.349 |    -1.417 |    -1.313 |...........|
+#> |   68|     480.28278 |     1.002 |    -1.260 |   -0.9144 |   -0.8988 |
+#> |.....................|   -0.8475 |   -0.5255 |   -0.9770 |    -1.001 |
+#> |.....................|   -0.6167 |   -0.7434 |   -0.6728 |...........|
+#> |    U|     480.28278 |     94.19 |    -5.660 |    -1.003 |   -0.2035 |
+#> |.....................|     2.102 |     1.867 |    0.6832 |    0.7537 |
+#> |.....................|     1.487 |     1.227 |     1.370 |...........|
+#> |    X|     480.28278 |     94.19 |  0.003481 |    0.2684 |    0.8159 |
+#> |.....................|     8.179 |     1.867 |    0.6832 |    0.7537 |
+#> |.....................|     1.487 |     1.227 |     1.370 |...........|
+#> |    F| Forward Diff. |     4.442 |    0.7524 |   -0.1734 |  -0.03276 |
+#> |.....................|  -0.06267 |    -3.400 |     1.746 |   -0.5960 |
+#> |.....................|    -1.307 |    -1.411 |    -1.323 |...........|
+#> |   69|     480.27897 |     1.001 |    -1.262 |   -0.9141 |   -0.8988 |
+#> |.....................|   -0.8474 |   -0.5252 |   -0.9776 |    -1.001 |
+#> |.....................|   -0.6165 |   -0.7431 |   -0.6724 |...........|
+#> |    U|     480.27897 |     94.13 |    -5.662 |    -1.003 |   -0.2034 |
+#> |.....................|     2.102 |     1.867 |    0.6827 |    0.7539 |
+#> |.....................|     1.488 |     1.227 |     1.370 |...........|
+#> |    X|     480.27897 |     94.13 |  0.003475 |    0.2684 |    0.8159 |
+#> |.....................|     8.180 |     1.867 |    0.6827 |    0.7539 |
+#> |.....................|     1.488 |     1.227 |     1.370 |...........|
+#> |    F| Forward Diff. |    -4.732 |    0.7463 |   -0.1764 |  -0.03625 |
+#> |.....................|  -0.08933 |    -3.375 |     1.716 |    0.6486 |
+#> |.....................|    -1.273 |    -1.374 |    -1.283 |...........|
+#> |   70|     480.27440 |     1.002 |    -1.264 |   -0.9140 |   -0.8987 |
+#> |.....................|   -0.8473 |   -0.5250 |   -0.9782 |    -1.001 |
+#> |.....................|   -0.6164 |   -0.7427 |   -0.6721 |...........|
+#> |    U|      480.2744 |     94.19 |    -5.664 |    -1.003 |   -0.2034 |
+#> |.....................|     2.102 |     1.867 |    0.6823 |    0.7538 |
+#> |.....................|     1.488 |     1.227 |     1.371 |...........|
+#> |    X|      480.2744 |     94.19 |  0.003469 |    0.2684 |    0.8160 |
+#> |.....................|     8.181 |     1.867 |    0.6823 |    0.7538 |
+#> |.....................|     1.488 |     1.227 |     1.371 |...........|
+#> |    F| Forward Diff. |     4.305 |    0.7431 |   -0.1535 |  -0.02884 |
+#> |.....................|  -0.05624 |    -3.424 |     1.641 |   -0.6166 |
+#> |.....................|    -1.366 |    -1.368 |    -1.291 |...........|
+#> |   71|     480.27043 |     1.001 |    -1.266 |   -0.9140 |   -0.8987 |
+#> |.....................|   -0.8473 |   -0.5247 |   -0.9786 |    -1.001 |
+#> |.....................|   -0.6161 |   -0.7423 |   -0.6718 |...........|
+#> |    U|     480.27043 |     94.13 |    -5.666 |    -1.002 |   -0.2033 |
+#> |.....................|     2.102 |     1.868 |    0.6819 |    0.7539 |
+#> |.....................|     1.488 |     1.228 |     1.371 |...........|
+#> |    X|     480.27043 |     94.13 |  0.003463 |    0.2685 |    0.8160 |
+#> |.....................|     8.181 |     1.868 |    0.6819 |    0.7539 |
+#> |.....................|     1.488 |     1.228 |     1.371 |...........|
+#> |    F| Forward Diff. |    -4.306 |    0.7372 |   -0.1665 |  -0.03186 |
+#> |.....................|  -0.08221 |    -3.333 |     1.631 |   -0.6040 |
+#> |.....................|    -1.265 |    -1.322 |    -1.255 |...........|
+#> |   72|     480.26665 |     1.002 |    -1.267 |   -0.9136 |   -0.8986 |
+#> |.....................|   -0.8471 |   -0.5244 |   -0.9791 |    -1.001 |
+#> |.....................|   -0.6160 |   -0.7419 |   -0.6714 |...........|
+#> |    U|     480.26665 |     94.19 |    -5.667 |    -1.002 |   -0.2032 |
+#> |.....................|     2.102 |     1.868 |    0.6815 |    0.7540 |
+#> |.....................|     1.488 |     1.228 |     1.371 |...........|
+#> |    X|     480.26665 |     94.19 |  0.003457 |    0.2685 |    0.8161 |
+#> |.....................|     8.182 |     1.868 |    0.6815 |    0.7540 |
+#> |.....................|     1.488 |     1.228 |     1.371 |...........|
+#> |    F| Forward Diff. |     4.654 |    0.7327 |   -0.1326 |  -0.02617 |
+#> |.....................|  -0.04981 |    -3.394 |     1.559 |   -0.6139 |
+#> |.....................|    -1.358 |    -1.341 |    -1.268 |...........|
+#> |   73|     480.26300 |     1.001 |    -1.269 |   -0.9132 |   -0.8985 |
+#> |.....................|   -0.8470 |   -0.5241 |   -0.9796 |    -1.000 |
+#> |.....................|   -0.6158 |   -0.7416 |   -0.6711 |...........|
+#> |    U|       480.263 |     94.13 |    -5.669 |    -1.002 |   -0.2032 |
+#> |.....................|     2.102 |     1.868 |    0.6812 |    0.7542 |
+#> |.....................|     1.488 |     1.229 |     1.372 |...........|
+#> |    X|       480.263 |     94.13 |  0.003451 |    0.2686 |    0.8162 |
+#> |.....................|     8.183 |     1.868 |    0.6812 |    0.7542 |
+#> |.....................|     1.488 |     1.229 |     1.372 |...........|
+#> |    F| Forward Diff. |    -4.009 |    0.7258 |   -0.1343 |  -0.03035 |
+#> |.....................|  -0.07619 |    -3.164 |     1.609 |   -0.5397 |
+#> |.....................|    -1.251 |    -1.282 |    -1.219 |...........|
+#> |   74|     480.25930 |     1.002 |    -1.271 |   -0.9130 |   -0.8985 |
+#> |.....................|   -0.8469 |   -0.5239 |   -0.9802 |    -1.000 |
+#> |.....................|   -0.6155 |   -0.7412 |   -0.6708 |...........|
+#> |    U|      480.2593 |     94.19 |    -5.671 |    -1.002 |   -0.2031 |
+#> |.....................|     2.102 |     1.868 |    0.6807 |    0.7543 |
+#> |.....................|     1.489 |     1.229 |     1.372 |...........|
+#> |    X|      480.2593 |     94.19 |  0.003445 |    0.2686 |    0.8162 |
+#> |.....................|     8.184 |     1.868 |    0.6807 |    0.7543 |
+#> |.....................|     1.489 |     1.229 |     1.372 |...........|
+#> |    F| Forward Diff. |     4.851 |    0.7223 |   -0.1045 |  -0.02290 |
+#> |.....................|  -0.04316 |    -3.376 |     1.478 |    0.6193 |
+#> |.....................|    -1.343 |    -1.302 |    -1.232 |...........|
+#> |   75|     480.25486 |     1.001 |    -1.273 |   -0.9131 |   -0.8984 |
+#> |.....................|   -0.8469 |   -0.5237 |   -0.9805 |    -1.000 |
+#> |.....................|   -0.6152 |   -0.7408 |   -0.6705 |...........|
+#> |    U|     480.25486 |     94.14 |    -5.673 |    -1.002 |   -0.2030 |
+#> |.....................|     2.102 |     1.868 |    0.6805 |    0.7542 |
+#> |.....................|     1.489 |     1.230 |     1.373 |...........|
+#> |    X|     480.25486 |     94.14 |  0.003439 |    0.2686 |    0.8162 |
+#> |.....................|     8.184 |     1.868 |    0.6805 |    0.7542 |
+#> |.....................|     1.489 |     1.230 |     1.373 |...........|
+#> |    F| Forward Diff. |    -3.282 |    0.7167 |   -0.1236 |  -0.02586 |
+#> |.....................|  -0.06793 |    -3.294 |     1.470 |    0.6693 |
+#> |.....................|    -1.247 |    -1.242 |    -1.194 |...........|
+#> |   76|     480.25000 |     1.002 |    -1.274 |   -0.9134 |   -0.8984 |
+#> |.....................|   -0.8469 |   -0.5231 |   -0.9806 |    -1.001 |
+#> |.....................|   -0.6147 |   -0.7402 |   -0.6701 |...........|
+#> |    U|        480.25 |     94.20 |    -5.674 |    -1.002 |   -0.2030 |
+#> |.....................|     2.102 |     1.869 |    0.6804 |    0.7539 |
+#> |.....................|     1.490 |     1.230 |     1.373 |...........|
+#> |    X|        480.25 |     94.20 |  0.003434 |    0.2686 |    0.8163 |
+#> |.....................|     8.184 |     1.869 |    0.6804 |    0.7539 |
+#> |.....................|     1.490 |     1.230 |     1.373 |...........|
+#> |    F| Forward Diff. |     5.823 |    0.7134 |   -0.1173 |  -0.02040 |
+#> |.....................|  -0.04062 |    -3.151 |     1.491 |   -0.5685 |
+#> |.....................|    -1.243 |    -1.237 |    -1.210 |...........|
+#> |   77|     480.24598 |     1.001 |    -1.276 |   -0.9134 |   -0.8984 |
+#> |.....................|   -0.8469 |   -0.5229 |   -0.9809 |    -1.001 |
+#> |.....................|   -0.6145 |   -0.7399 |   -0.6698 |...........|
+#> |    U|     480.24598 |     94.13 |    -5.676 |    -1.002 |   -0.2030 |
+#> |.....................|     2.102 |     1.869 |    0.6802 |    0.7539 |
+#> |.....................|     1.490 |     1.231 |     1.373 |...........|
+#> |    X|     480.24598 |     94.13 |  0.003427 |    0.2686 |    0.8163 |
+#> |.....................|     8.184 |     1.869 |    0.6802 |    0.7539 |
+#> |.....................|     1.490 |     1.231 |     1.373 |...........|
+#> |    F| Forward Diff. |    -3.294 |    0.7076 |   -0.1362 |  -0.02383 |
+#> |.....................|  -0.06566 |    -3.147 |     1.461 |    0.6663 |
+#> |.....................|    -1.244 |    -1.185 |    -1.155 |...........|
+#> |   78|     480.24152 |     1.002 |    -1.278 |   -0.9134 |   -0.8983 |
+#> |.....................|   -0.8469 |   -0.5225 |   -0.9813 |    -1.001 |
+#> |.....................|   -0.6142 |   -0.7395 |   -0.6694 |...........|
+#> |    U|     480.24152 |     94.19 |    -5.678 |    -1.002 |   -0.2030 |
+#> |.....................|     2.102 |     1.869 |    0.6799 |    0.7538 |
+#> |.....................|     1.490 |     1.231 |     1.374 |...........|
+#> |    X|     480.24152 |     94.19 |  0.003421 |    0.2686 |    0.8163 |
+#> |.....................|     8.184 |     1.869 |    0.6799 |    0.7538 |
+#> |.....................|     1.490 |     1.231 |     1.374 |...........|
+#> |    F| Forward Diff. |     4.573 |    0.7031 |   -0.1214 |  -0.01999 |
+#> |.....................|  -0.04022 |    -3.129 |     1.425 |    0.6287 |
+#> |.....................|    -1.274 |    -1.197 |    -1.174 |...........|
+#> |   79|     480.23703 |     1.001 |    -1.280 |   -0.9136 |   -0.8983 |
+#> |.....................|   -0.8469 |   -0.5223 |   -0.9815 |    -1.001 |
+#> |.....................|   -0.6136 |   -0.7392 |   -0.6691 |...........|
+#> |    U|     480.23703 |     94.13 |    -5.680 |    -1.002 |   -0.2030 |
+#> |.....................|     2.102 |     1.869 |    0.6797 |    0.7536 |
+#> |.....................|     1.491 |     1.231 |     1.374 |...........|
+#> |    X|     480.23703 |     94.13 |  0.003415 |    0.2685 |    0.8163 |
+#> |.....................|     8.184 |     1.869 |    0.6797 |    0.7536 |
+#> |.....................|     1.491 |     1.231 |     1.374 |...........|
+#> |    F| Forward Diff. |    -3.496 |    0.6977 |   -0.1464 |  -0.02500 |
+#> |.....................|  -0.06997 |    -3.031 |     1.316 |    0.6455 |
+#> |.....................|    -1.198 |    -1.144 |    -1.124 |...........|
+#> |   80|     480.23246 |     1.002 |    -1.281 |   -0.9138 |   -0.8983 |
+#> |.....................|   -0.8469 |   -0.5219 |   -0.9816 |    -1.001 |
+#> |.....................|   -0.6131 |   -0.7387 |   -0.6687 |...........|
+#> |    U|     480.23246 |     94.19 |    -5.681 |    -1.002 |   -0.2030 |
+#> |.....................|     2.102 |     1.870 |    0.6796 |    0.7533 |
+#> |.....................|     1.492 |     1.232 |     1.375 |...........|
+#> |    X|     480.23246 |     94.19 |  0.003409 |    0.2685 |    0.8163 |
+#> |.....................|     8.184 |     1.870 |    0.6796 |    0.7533 |
+#> |.....................|     1.492 |     1.232 |     1.375 |...........|
+#> |    F| Forward Diff. |     4.825 |    0.6940 |   -0.1347 |  -0.01919 |
+#> |.....................|  -0.03939 |    -3.118 |     1.378 |    0.5922 |
+#> |.....................|    -1.219 |    -1.136 |    -1.127 |...........|
+#> |   81|     480.22809 |     1.001 |    -1.283 |   -0.9138 |   -0.8983 |
+#> |.....................|   -0.8469 |   -0.5217 |   -0.9816 |    -1.002 |
+#> |.....................|   -0.6127 |   -0.7384 |   -0.6684 |...........|
+#> |    U|     480.22809 |     94.14 |    -5.683 |    -1.002 |   -0.2029 |
+#> |.....................|     2.102 |     1.870 |    0.6796 |    0.7531 |
+#> |.....................|     1.492 |     1.232 |     1.375 |...........|
+#> |    X|     480.22809 |     94.14 |  0.003403 |    0.2685 |    0.8163 |
+#> |.....................|     8.184 |     1.870 |    0.6796 |    0.7531 |
+#> |.....................|     1.492 |     1.232 |     1.375 |...........|
+#> |    F| Forward Diff. |    -3.001 |    0.6885 |   -0.1518 |  -0.02256 |
+#> |.....................|  -0.06414 |    -2.892 |     1.443 |    0.6415 |
+#> |.....................|    -1.085 |    -1.098 |    -1.101 |...........|
+#> |   82|     480.22387 |     1.002 |    -1.285 |   -0.9139 |   -0.8983 |
+#> |.....................|   -0.8469 |   -0.5212 |   -0.9821 |    -1.002 |
+#> |.....................|   -0.6124 |   -0.7381 |   -0.6680 |...........|
+#> |    U|     480.22387 |     94.19 |    -5.685 |    -1.002 |   -0.2029 |
+#> |.....................|     2.102 |     1.870 |    0.6793 |    0.7529 |
+#> |.....................|     1.492 |     1.232 |     1.375 |...........|
+#> |    X|     480.22387 |     94.19 |  0.003397 |    0.2685 |    0.8163 |
+#> |.....................|     8.184 |     1.870 |    0.6793 |    0.7529 |
+#> |.....................|     1.492 |     1.232 |     1.375 |...........|
+#> |    F| Forward Diff. |     5.360 |    0.6846 |   -0.1392 |  -0.01938 |
+#> |.....................|  -0.04006 |    -2.853 |     1.421 |   -0.5715 |
+#> |.....................|    -1.064 |    -1.117 |    -1.118 |...........|
+#> |   83|     480.22054 |     1.001 |    -1.287 |   -0.9139 |   -0.8983 |
+#> |.....................|   -0.8469 |   -0.5210 |   -0.9826 |    -1.002 |
+#> |.....................|   -0.6125 |   -0.7380 |   -0.6676 |...........|
+#> |    U|     480.22054 |     94.14 |    -5.687 |    -1.002 |   -0.2029 |
+#> |.....................|     2.102 |     1.871 |    0.6789 |    0.7530 |
+#> |.....................|     1.492 |     1.233 |     1.376 |...........|
+#> |    X|     480.22054 |     94.14 |  0.003391 |    0.2685 |    0.8163 |
+#> |.....................|     8.184 |     1.871 |    0.6789 |    0.7530 |
+#> |.....................|     1.492 |     1.233 |     1.376 |...........|
+#> |    F| Forward Diff. |    -2.774 |    0.6781 |   -0.1521 |  -0.02419 |
+#> |.....................|  -0.06697 |    -2.800 |     1.392 |    0.6467 |
+#> |.....................|    -1.111 |    -1.074 |    -1.064 |...........|
+#> |   84|     480.21670 |     1.002 |    -1.288 |   -0.9138 |   -0.8983 |
+#> |.....................|   -0.8469 |   -0.5206 |   -0.9832 |    -1.002 |
+#> |.....................|   -0.6123 |   -0.7378 |   -0.6672 |...........|
+#> |    U|      480.2167 |     94.19 |    -5.688 |    -1.002 |   -0.2029 |
+#> |.....................|     2.102 |     1.871 |    0.6784 |    0.7529 |
+#> |.....................|     1.493 |     1.233 |     1.376 |...........|
+#> |    X|      480.2167 |     94.19 |  0.003385 |    0.2685 |    0.8163 |
+#> |.....................|     8.184 |     1.871 |    0.6784 |    0.7529 |
+#> |.....................|     1.493 |     1.233 |     1.376 |...........|
+#> |    F| Forward Diff. |     4.519 |    0.6730 |   -0.1351 |  -0.02088 |
+#> |.....................|  -0.04118 |    -2.856 |     1.311 |    0.6094 |
+#> |.....................|    -1.165 |    -1.062 |    -1.048 |...........|
+#> |   85|     480.21269 |     1.001 |    -1.290 |   -0.9139 |   -0.8983 |
+#> |.....................|   -0.8469 |   -0.5205 |   -0.9835 |    -1.002 |
+#> |.....................|   -0.6119 |   -0.7376 |   -0.6670 |...........|
+#> |    U|     480.21269 |     94.14 |    -5.690 |    -1.002 |   -0.2029 |
+#> |.....................|     2.102 |     1.871 |    0.6782 |    0.7527 |
+#> |.....................|     1.493 |     1.233 |     1.377 |...........|
+#> |    X|     480.21269 |     94.14 |  0.003379 |    0.2685 |    0.8163 |
+#> |.....................|     8.184 |     1.871 |    0.6782 |    0.7527 |
+#> |.....................|     1.493 |     1.233 |     1.377 |...........|
+#> |    F| Forward Diff. |    -2.933 |    0.6686 |   -0.1517 |  -0.01805 |
+#> |.....................|  -0.06304 |    -2.806 |     1.298 |    0.6045 |
+#> |.....................|    -1.073 |    -1.045 |    -1.026 |...........|
+#> |   86|     480.20865 |     1.002 |    -1.292 |   -0.9139 |   -0.8983 |
+#> |.....................|   -0.8469 |   -0.5201 |   -0.9839 |    -1.002 |
+#> |.....................|   -0.6115 |   -0.7373 |   -0.6667 |...........|
+#> |    U|     480.20865 |     94.19 |    -5.692 |    -1.002 |   -0.2029 |
+#> |.....................|     2.102 |     1.871 |    0.6779 |    0.7525 |
+#> |.....................|     1.494 |     1.233 |     1.377 |...........|
+#> |    X|     480.20865 |     94.19 |  0.003373 |    0.2685 |    0.8163 |
+#> |.....................|     8.184 |     1.871 |    0.6779 |    0.7525 |
+#> |.....................|     1.494 |     1.233 |     1.377 |...........|
+#> |    F| Forward Diff. |     4.802 |    0.6647 |   -0.1367 |  -0.01906 |
+#> |.....................|  -0.03994 |    -2.699 |     1.311 |   -0.5807 |
+#> |.....................|    -1.078 |    -1.030 |    -1.030 |...........|
+#> |   87|     480.20558 |     1.001 |    -1.294 |   -0.9137 |   -0.8983 |
+#> |.....................|   -0.8468 |   -0.5199 |   -0.9842 |    -1.002 |
+#> |.....................|   -0.6113 |   -0.7372 |   -0.6665 |...........|
+#> |    U|     480.20558 |     94.14 |    -5.694 |    -1.002 |   -0.2029 |
+#> |.....................|     2.102 |     1.871 |    0.6776 |    0.7525 |
+#> |.....................|     1.494 |     1.233 |     1.377 |...........|
+#> |    X|     480.20558 |     94.14 |  0.003367 |    0.2685 |    0.8163 |
+#> |.....................|     8.185 |     1.871 |    0.6776 |    0.7525 |
+#> |.....................|     1.494 |     1.233 |     1.377 |...........|
+#> |    F| Forward Diff. |    -2.911 |    0.6576 |   -0.1438 |  -0.02051 |
+#> |.....................|  -0.06613 |    -2.751 |     1.246 |   -0.6218 |
+#> |.....................|    -1.053 |    -1.017 |    -1.010 |...........|
+#> |   88|     480.20291 |     1.002 |    -1.296 |   -0.9132 |   -0.8982 |
+#> |.....................|   -0.8467 |   -0.5195 |   -0.9848 |    -1.002 |
+#> |.....................|   -0.6112 |   -0.7370 |   -0.6662 |...........|
+#> |    U|     480.20291 |     94.19 |    -5.696 |    -1.002 |   -0.2029 |
+#> |.....................|     2.102 |     1.872 |    0.6772 |    0.7527 |
+#> |.....................|     1.494 |     1.234 |     1.377 |...........|
+#> |    X|     480.20291 |     94.19 |  0.003361 |    0.2686 |    0.8164 |
+#> |.....................|     8.186 |     1.872 |    0.6772 |    0.7527 |
+#> |.....................|     1.494 |     1.234 |     1.377 |...........|
+#> |    F| Forward Diff. |     4.296 |    0.6533 |   -0.1055 |  -0.01383 |
+#> |.....................|  -0.03435 |    -2.750 |     1.192 |   -0.6155 |
+#> |.....................|    -1.121 |    -1.037 |    -1.054 |...........|
+#> |   89|     480.20010 |     1.001 |    -1.297 |   -0.9127 |   -0.8982 |
+#> |.....................|   -0.8466 |   -0.5193 |   -0.9850 |    -1.002 |
+#> |.....................|   -0.6110 |   -0.7368 |   -0.6658 |...........|
+#> |    U|      480.2001 |     94.14 |    -5.697 |    -1.001 |   -0.2028 |
+#> |.....................|     2.103 |     1.872 |    0.6771 |    0.7528 |
+#> |.....................|     1.494 |     1.234 |     1.378 |...........|
+#> |    X|      480.2001 |     94.14 |  0.003355 |    0.2687 |    0.8164 |
+#> |.....................|     8.187 |     1.872 |    0.6771 |    0.7528 |
+#> |.....................|     1.494 |     1.234 |     1.378 |...........|
+#> |    F| Forward Diff. |    -2.841 |    0.6461 |  -0.09617 |  -0.01892 |
+#> |.....................|  -0.05600 |    -2.503 |     1.255 |    0.6797 |
+#> |.....................|   -0.9587 |    -1.006 |   -0.9794 |...........|
+#> |   90|     480.19652 |     1.002 |    -1.299 |   -0.9127 |   -0.8982 |
+#> |.....................|   -0.8466 |   -0.5191 |   -0.9853 |    -1.002 |
+#> |.....................|   -0.6108 |   -0.7364 |   -0.6653 |...........|
+#> |    U|     480.19652 |     94.19 |    -5.699 |    -1.001 |   -0.2028 |
+#> |.....................|     2.103 |     1.872 |    0.6768 |    0.7526 |
+#> |.....................|     1.494 |     1.234 |     1.378 |...........|
+#> |    X|     480.19652 |     94.19 |  0.003349 |    0.2687 |    0.8164 |
+#> |.....................|     8.187 |     1.872 |    0.6768 |    0.7526 |
+#> |.....................|     1.494 |     1.234 |     1.378 |...........|
+#> |   91|     480.19461 |     1.002 |    -1.301 |   -0.9128 |   -0.8982 |
+#> |.....................|   -0.8466 |   -0.5193 |   -0.9855 |    -1.002 |
+#> |.....................|   -0.6107 |   -0.7361 |   -0.6650 |...........|
+#> |    U|     480.19461 |     94.18 |    -5.701 |    -1.001 |   -0.2028 |
+#> |.....................|     2.103 |     1.872 |    0.6767 |    0.7526 |
+#> |.....................|     1.494 |     1.235 |     1.379 |...........|
+#> |    X|     480.19461 |     94.18 |  0.003342 |    0.2687 |    0.8164 |
+#> |.....................|     8.187 |     1.872 |    0.6767 |    0.7526 |
+#> |.....................|     1.494 |     1.235 |     1.379 |...........|
+#> |   92|     480.18441 |     1.002 |    -1.313 |   -0.9134 |   -0.8983 |
+#> |.....................|   -0.8466 |   -0.5209 |   -0.9862 |    -1.003 |
+#> |.....................|   -0.6104 |   -0.7344 |   -0.6628 |...........|
+#> |    U|     480.18441 |     94.17 |    -5.713 |    -1.002 |   -0.2029 |
+#> |.....................|     2.103 |     1.871 |    0.6762 |    0.7522 |
+#> |.....................|     1.495 |     1.237 |     1.381 |...........|
+#> |    X|     480.18441 |     94.17 |  0.003303 |    0.2686 |    0.8164 |
+#> |.....................|     8.187 |     1.871 |    0.6762 |    0.7522 |
+#> |.....................|     1.495 |     1.237 |     1.381 |...........|
+#> |   93|     480.15712 |     1.001 |    -1.360 |   -0.9157 |   -0.8984 |
+#> |.....................|   -0.8466 |   -0.5271 |   -0.9890 |    -1.004 |
+#> |.....................|   -0.6089 |   -0.7277 |   -0.6540 |...........|
+#> |    U|     480.15712 |     94.12 |    -5.760 |    -1.004 |   -0.2031 |
+#> |.....................|     2.103 |     1.866 |    0.6740 |    0.7509 |
+#> |.....................|     1.497 |     1.244 |     1.391 |...........|
+#> |    X|     480.15712 |     94.12 |  0.003151 |    0.2681 |    0.8162 |
+#> |.....................|     8.187 |     1.866 |    0.6740 |    0.7509 |
+#> |.....................|     1.497 |     1.244 |     1.391 |...........|
+#> |   94|     480.23418 |    0.9997 |    -1.543 |   -0.9246 |   -0.8991 |
+#> |.....................|   -0.8465 |   -0.5509 |    -1.000 |    -1.011 |
+#> |.....................|   -0.6032 |   -0.7017 |   -0.6198 |...........|
+#> |    U|     480.23418 |     93.97 |    -5.943 |    -1.013 |   -0.2037 |
+#> |.....................|     2.103 |     1.847 |    0.6655 |    0.7454 |
+#> |.....................|     1.503 |     1.272 |     1.431 |...........|
+#> |    X|     480.23418 |     93.97 |  0.002624 |    0.2664 |    0.8157 |
+#> |.....................|     8.187 |     1.847 |    0.6655 |    0.7454 |
+#> |.....................|     1.503 |     1.272 |     1.431 |...........|
+#> |    F| Forward Diff. |    -6.048 |    0.4781 |   -0.2230 |  -0.02217 |
+#> |.....................|  -0.05480 |    -3.577 |    0.9301 |    0.6494 |
+#> |.....................|    -1.028 |   -0.4525 |   -0.4232 |...........|
+#> |   95|     480.10748 |     1.002 |    -1.612 |   -0.8919 |   -0.8955 |
+#> |.....................|   -0.8419 |   -0.5057 |    -1.005 |    -1.011 |
+#> |.....................|   -0.6089 |   -0.7402 |   -0.6757 |...........|
+#> |    U|     480.10748 |     94.20 |    -6.012 |   -0.9804 |   -0.2001 |
+#> |.....................|     2.107 |     1.883 |    0.6618 |    0.7449 |
+#> |.....................|     1.497 |     1.230 |     1.367 |...........|
+#> |    X|     480.10748 |     94.20 |  0.002450 |    0.2728 |    0.8186 |
+#> |.....................|     8.225 |     1.883 |    0.6618 |    0.7449 |
+#> |.....................|     1.497 |     1.230 |     1.367 |...........|
+#> |    F| Forward Diff. |     5.588 |   -0.2032 |     1.050 |   0.05863 |
+#> |.....................|    0.1556 |    -1.013 |   -0.1797 |    0.1430 |
+#> |.....................|    -1.088 |    -1.192 |    -1.504 |...........|
+#> |   96|     480.44664 |     1.003 |    -1.804 |   -0.9880 |   -0.8940 |
+#> |.....................|   -0.8524 |   -0.4601 |   -0.9127 |    -1.040 |
+#> |.....................|   -0.5485 |   -0.7099 |   -0.6226 |...........|
+#> |    U|     480.44664 |     94.31 |    -6.204 |    -1.077 |   -0.1987 |
+#> |.....................|     2.097 |     1.919 |    0.7320 |    0.7196 |
+#> |.....................|     1.568 |     1.263 |     1.427 |...........|
+#> |    X|     480.44664 |     94.31 |  0.002022 |    0.2542 |    0.8198 |
+#> |.....................|     8.139 |     1.919 |    0.7320 |    0.7196 |
+#> |.....................|     1.568 |     1.263 |     1.427 |...........|
+#> |   97|     480.05051 |     1.002 |    -1.657 |   -0.9147 |   -0.8952 |
+#> |.....................|   -0.8444 |   -0.4949 |   -0.9832 |    -1.018 |
+#> |.....................|   -0.5946 |   -0.7329 |   -0.6630 |...........|
+#> |    U|     480.05051 |     94.19 |    -6.057 |    -1.003 |   -0.1998 |
+#> |.....................|     2.105 |     1.891 |    0.6784 |    0.7389 |
+#> |.....................|     1.514 |     1.238 |     1.381 |...........|
+#> |    X|     480.05051 |     94.19 |  0.002341 |    0.2683 |    0.8189 |
+#> |.....................|     8.205 |     1.891 |    0.6784 |    0.7389 |
+#> |.....................|     1.514 |     1.238 |     1.381 |...........|
+#> |    F| Forward Diff. |     3.048 |   -0.2764 |  -0.02525 |   0.07726 |
+#> |.....................|    0.1002 |    0.1555 |     1.072 |    0.1458 |
+#> |.....................|   -0.5013 |   -0.7465 |   -0.9442 |...........|
+#> |   98|     480.05873 |     1.002 |    -1.641 |   -0.9145 |   -0.9051 |
+#> |.....................|   -0.8597 |   -0.5017 |   -0.9961 |    -1.019 |
+#> |.....................|   -0.5552 |   -0.7600 |   -0.6392 |...........|
+#> |    U|     480.05873 |     94.21 |    -6.041 |    -1.003 |   -0.2097 |
+#> |.....................|     2.089 |     1.886 |    0.6686 |    0.7381 |
+#> |.....................|     1.561 |     1.209 |     1.408 |...........|
+#> |    X|     480.05873 |     94.21 |  0.002380 |    0.2684 |    0.8108 |
+#> |.....................|     8.080 |     1.886 |    0.6686 |    0.7381 |
+#> |.....................|     1.561 |     1.209 |     1.408 |...........|
+#> |   99|     480.03299 |     1.002 |    -1.650 |   -0.9146 |   -0.8993 |
+#> |.....................|   -0.8508 |   -0.4977 |   -0.9887 |    -1.018 |
+#> |.....................|   -0.5780 |   -0.7442 |   -0.6529 |...........|
+#> |    U|     480.03299 |     94.17 |    -6.050 |    -1.003 |   -0.2040 |
+#> |.....................|     2.098 |     1.889 |    0.6742 |    0.7386 |
+#> |.....................|     1.533 |     1.226 |     1.393 |...........|
+#> |    X|     480.03299 |     94.17 |  0.002357 |    0.2683 |    0.8155 |
+#> |.....................|     8.152 |     1.889 |    0.6742 |    0.7386 |
+#> |.....................|     1.533 |     1.226 |     1.393 |...........|
+#> |    F| Forward Diff. |  -0.07884 |   -0.2508 |  -0.03233 |  -0.02314 |
+#> |.....................|   -0.1302 |   0.06288 |    0.7629 |    0.2261 |
+#> |.....................|    0.3850 |    -1.277 |   -0.6610 |...........|
+#> |  100|     480.00970 |     1.003 |    -1.641 |   -0.9125 |   -0.9005 |
+#> |.....................|   -0.8500 |   -0.4980 |   -0.9983 |    -1.021 |
+#> |.....................|   -0.5841 |   -0.7275 |   -0.6414 |...........|
+#> |    U|      480.0097 |     94.26 |    -6.041 |    -1.001 |   -0.2051 |
+#> |.....................|     2.099 |     1.889 |    0.6670 |    0.7367 |
+#> |.....................|     1.526 |     1.244 |     1.406 |...........|
+#> |    X|      480.0097 |     94.26 |  0.002380 |    0.2687 |    0.8145 |
+#> |.....................|     8.159 |     1.889 |    0.6670 |    0.7367 |
+#> |.....................|     1.526 |     1.244 |     1.406 |...........|
+#> |    F| Forward Diff. |     12.51 |   -0.2151 |    0.1066 |  -0.04414 |
+#> |.....................|  -0.06212 |   -0.2557 |   0.09002 |  -0.09728 |
+#> |.....................|   0.06582 |   -0.3883 |   0.07016 |...........|
+#> |  101|     480.02569 |     1.000 |    -1.627 |   -0.9257 |   -0.9015 |
+#> |.....................|   -0.8496 |   -0.4974 |    -1.010 |    -1.023 |
+#> |.....................|   -0.5876 |   -0.7200 |   -0.6493 |...........|
+#> |    U|     480.02569 |     94.03 |    -6.027 |    -1.014 |   -0.2061 |
+#> |.....................|     2.099 |     1.889 |    0.6581 |    0.7348 |
+#> |.....................|     1.522 |     1.252 |     1.397 |...........|
+#> |    X|     480.02569 |     94.03 |  0.002413 |    0.2662 |    0.8138 |
+#> |.....................|     8.162 |     1.889 |    0.6581 |    0.7348 |
+#> |.....................|     1.522 |     1.252 |     1.397 |...........|
+#> |  102|     480.01783 |     1.000 |    -1.636 |   -0.9171 |   -0.9008 |
+#> |.....................|   -0.8499 |   -0.4978 |    -1.002 |    -1.021 |
+#> |.....................|   -0.5853 |   -0.7249 |   -0.6441 |...........|
+#> |    U|     480.01783 |     94.03 |    -6.036 |    -1.006 |   -0.2055 |
+#> |.....................|     2.099 |     1.889 |    0.6639 |    0.7361 |
+#> |.....................|     1.525 |     1.247 |     1.403 |...........|
+#> |    X|     480.01783 |     94.03 |  0.002392 |    0.2678 |    0.8143 |
+#> |.....................|     8.160 |     1.889 |    0.6639 |    0.7361 |
+#> |.....................|     1.525 |     1.247 |     1.403 |...........|
+#> |  103|     480.01762 |     1.000 |    -1.639 |   -0.9140 |   -0.9006 |
+#> |.....................|   -0.8500 |   -0.4979 |   -0.9995 |    -1.021 |
+#> |.....................|   -0.5844 |   -0.7266 |   -0.6422 |...........|
+#> |    U|     480.01762 |     94.04 |    -6.039 |    -1.002 |   -0.2052 |
+#> |.....................|     2.099 |     1.889 |    0.6660 |    0.7365 |
+#> |.....................|     1.526 |     1.245 |     1.405 |...........|
+#> |    X|     480.01762 |     94.04 |  0.002384 |    0.2685 |    0.8145 |
+#> |.....................|     8.159 |     1.889 |    0.6660 |    0.7365 |
+#> |.....................|     1.526 |     1.245 |     1.405 |...........|
+#> |  104|     480.00603 |     1.001 |    -1.641 |   -0.9125 |   -0.9005 |
+#> |.....................|   -0.8500 |   -0.4980 |   -0.9983 |    -1.021 |
+#> |.....................|   -0.5841 |   -0.7275 |   -0.6414 |...........|
+#> |    U|     480.00603 |     94.12 |    -6.041 |    -1.001 |   -0.2051 |
+#> |.....................|     2.099 |     1.889 |    0.6670 |    0.7367 |
+#> |.....................|     1.526 |     1.244 |     1.406 |...........|
+#> |    X|     480.00603 |     94.12 |  0.002380 |    0.2687 |    0.8145 |
+#> |.....................|     8.159 |     1.889 |    0.6670 |    0.7367 |
+#> |.....................|     1.526 |     1.244 |     1.406 |...........|
+#> |    F| Forward Diff. |    -6.885 |   -0.2187 |   0.06031 |  -0.05864 |
+#> |.....................|   -0.1316 |   -0.6942 |  -0.07940 |    0.7419 |
+#> |.....................|   -0.2628 |   -0.6303 |   -0.1748 |...........|
+#> |  105|     480.00355 |     1.002 |    -1.640 |   -0.9125 |   -0.9004 |
+#> |.....................|   -0.8497 |   -0.4981 |   -0.9983 |    -1.021 |
+#> |.....................|   -0.5835 |   -0.7267 |   -0.6420 |...........|
+#> |    U|     480.00355 |     94.17 |    -6.040 |    -1.001 |   -0.2050 |
+#> |.....................|     2.099 |     1.889 |    0.6669 |    0.7366 |
+#> |.....................|     1.527 |     1.245 |     1.405 |...........|
+#> |    X|     480.00355 |     94.17 |  0.002382 |    0.2687 |    0.8147 |
+#> |.....................|     8.162 |     1.889 |    0.6669 |    0.7366 |
+#> |.....................|     1.527 |     1.245 |     1.405 |...........|
+#> |    F| Forward Diff. |   -0.1332 |   -0.2152 |   0.07761 |  -0.04946 |
+#> |.....................|  -0.09731 |  -0.07704 |    0.1258 |    0.9492 |
+#> |.....................|   0.08309 |   -0.3432 |   0.03979 |...........|
+#> |  106|     480.00003 |     1.002 |    -1.640 |   -0.9126 |   -0.9003 |
+#> |.....................|   -0.8495 |   -0.4980 |   -0.9985 |    -1.022 |
+#> |.....................|   -0.5836 |   -0.7262 |   -0.6420 |...........|
+#> |    U|     480.00003 |     94.19 |    -6.040 |    -1.001 |   -0.2049 |
+#> |.....................|     2.100 |     1.889 |    0.6668 |    0.7355 |
+#> |.....................|     1.527 |     1.245 |     1.405 |...........|
+#> |    X|     480.00003 |     94.19 |  0.002382 |    0.2687 |    0.8147 |
+#> |.....................|     8.163 |     1.889 |    0.6668 |    0.7355 |
+#> |.....................|     1.527 |     1.245 |     1.405 |...........|
+#> |    F| Forward Diff. |     2.294 |   -0.2073 |   0.08146 |  -0.04541 |
+#> |.....................|  -0.07807 |   -0.2293 |   0.05730 |    0.8075 |
+#> |.....................| -0.008164 |   -0.3171 |   0.03808 |...........|
+#> |  107|     479.99578 |     1.002 |    -1.638 |   -0.9109 |   -0.8997 |
+#> |.....................|   -0.8483 |   -0.4984 |   -0.9975 |    -1.023 |
+#> |.....................|   -0.5809 |   -0.7230 |   -0.6440 |...........|
+#> |    U|     479.99578 |     94.17 |    -6.038 |   -0.9994 |   -0.2043 |
+#> |.....................|     2.101 |     1.889 |    0.6675 |    0.7343 |
+#> |.....................|     1.530 |     1.249 |     1.403 |...........|
+#> |    X|     479.99578 |     94.17 |  0.002387 |    0.2691 |    0.8152 |
+#> |.....................|     8.172 |     1.889 |    0.6675 |    0.7343 |
+#> |.....................|     1.530 |     1.249 |     1.403 |...........|
+#> |  108|     479.99301 |     1.002 |    -1.632 |   -0.9055 |   -0.8980 |
+#> |.....................|   -0.8447 |   -0.4999 |   -0.9947 |    -1.027 |
+#> |.....................|   -0.5728 |   -0.7134 |   -0.6498 |...........|
+#> |    U|     479.99301 |     94.16 |    -6.032 |   -0.9941 |   -0.2026 |
+#> |.....................|     2.104 |     1.887 |    0.6697 |    0.7310 |
+#> |.....................|     1.540 |     1.259 |     1.396 |...........|
+#> |    X|     479.99301 |     94.16 |  0.002402 |    0.2701 |    0.8166 |
+#> |.....................|     8.202 |     1.887 |    0.6697 |    0.7310 |
+#> |.....................|     1.540 |     1.259 |     1.396 |...........|
+#> |    F| Forward Diff. |   -0.5972 |   -0.1625 |    0.4650 |  0.009686 |
+#> |.....................|   0.08636 |    -1.694 |   -0.1652 |    -1.042 |
+#> |.....................|   -0.1517 |    0.4204 |   -0.3659 |...........|
+#> |  109|     479.98697 |     1.002 |    -1.611 |   -0.9101 |   -0.8945 |
+#> |.....................|   -0.8385 |   -0.4966 |   -0.9980 |    -1.027 |
+#> |.....................|   -0.5750 |   -0.7140 |   -0.6459 |...........|
+#> |    U|     479.98697 |     94.17 |    -6.011 |   -0.9986 |   -0.1991 |
+#> |.....................|     2.111 |     1.890 |    0.6672 |    0.7309 |
+#> |.....................|     1.537 |     1.259 |     1.401 |...........|
+#> |    X|     479.98697 |     94.17 |  0.002451 |    0.2692 |    0.8195 |
+#> |.....................|     8.253 |     1.890 |    0.6672 |    0.7309 |
+#> |.....................|     1.537 |     1.259 |     1.401 |...........|
+#> |    F| Forward Diff. | -0.005684 |   -0.1115 |    0.2082 |   0.08938 |
+#> |.....................|    0.3008 |   0.01411 |    0.1052 |   -0.7061 |
+#> |.....................|    0.4111 |    0.4010 |   -0.1199 |...........|
+#> |  110|     479.98697 |     1.002 |    -1.611 |   -0.9101 |   -0.8945 |
+#> |.....................|   -0.8385 |   -0.4966 |   -0.9980 |    -1.027 |
+#> |.....................|   -0.5750 |   -0.7140 |   -0.6459 |...........|
+#> |    U|     479.98697 |     94.17 |    -6.011 |   -0.9986 |   -0.1991 |
+#> |.....................|     2.111 |     1.890 |    0.6672 |    0.7309 |
+#> |.....................|     1.537 |     1.259 |     1.401 |...........|
+#> |    X|     479.98697 |     94.17 |  0.002451 |    0.2692 |    0.8195 |
+#> |.....................|     8.253 |     1.890 |    0.6672 |    0.7309 |
+#> |.....................|     1.537 |     1.259 |     1.401 |...........|
+#> calculating covariance matrix
+#> done
+#> Calculating residuals/tables
+#> done
+#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))
+#> Warning: ETAs were reset to zero during optimization; (Can control by foceiControl(resetEtaP=.))
+#> Warning: gradient problems with initial estimate and covariance; see $scaleInfo
+f_nlmixr_dfop_sfo_focei_const <- nlmixr(f_mmkin_const["DFOP-SFO", ], est = "focei")
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → calculate jacobian
+#> 
+#> → calculate sensitivities
+#> 
+#> → calculate ∂(f)/∂(η)
+#> 
+#> → calculate ∂(R²)/∂(η)
+#> 
+#> → finding duplicate expressions in inner model...
+#> 
+#> → optimizing duplicate expressions in inner model...
+#> 
+#> → finding duplicate expressions in EBE model...
+#> 
+#> → optimizing duplicate expressions in EBE model...
+#> 
+#> → compiling inner model...
+#>  
+#> ✔ done
+#> → finding duplicate expressions in FD model...
+#> 
+#> → optimizing duplicate expressions in FD model...
+#> 
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> → compiling events FD model...
+#>  
+#> ✔ done
+#> Needed Covariates:
+#> [1] "CMT"
+#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
+#> F: Forward difference gradient approximation
+#> C: Central difference gradient approximation
+#> M: Mixed forward and central difference gradient approximation
+#> Unscaled parameters for Omegas=chol(solve(omega));
+#> Diagonals are transformed, as specified by foceiControl(diagXform=)
+#> |-----+---------------+-----------+-----------+-----------+-----------|
+#> |    #| Objective Fun |  parent_0 |  log_k_A1 |f_parent_qlogis |    log_k1 |
+#> |.....................|    log_k2 |  g_qlogis |     sigma |        o1 |
+#> |.....................|        o2 |        o3 |        o4 |        o5 |
+#> |.....................|        o6 |...........|...........|...........|
+#> |    1|     517.20934 |     1.000 |    -1.000 |   -0.9109 |   -0.9296 |
+#> |.....................|   -0.9779 |   -0.8885 |   -0.8592 |   -0.8766 |
+#> |.....................|   -0.8740 |   -0.8675 |   -0.8712 |   -0.8735 |
+#> |.....................|   -0.8680 |...........|...........|...........|
+#> |    U|     517.20934 |     94.00 |    -5.400 |   -0.9700 |    -1.900 |
+#> |.....................|    -4.300 |    0.1400 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |    X|     517.20934 |     94.00 |  0.004517 |    0.2749 |    0.1496 |
+#> |.....................|   0.01357 |    0.5349 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |    G|    Gill Diff. |     64.43 |     1.648 |  -0.07882 |   -0.2050 |
+#> |.....................|   -0.4304 |   0.05992 |    -56.51 |     17.73 |
+#> |.....................|     9.983 |    -11.00 |    -3.771 |     3.593 |
+#> |.....................|    -10.58 |...........|...........|...........|
+#> |    2|     2737.3115 |    0.2806 |    -1.018 |   -0.9100 |   -0.9273 |
+#> |.....................|   -0.9731 |   -0.8892 |   -0.2282 |    -1.075 |
+#> |.....................|   -0.9854 |   -0.7447 |   -0.8291 |   -0.9136 |
+#> |.....................|   -0.7499 |...........|...........|...........|
+#> |    U|     2737.3115 |     26.38 |    -5.418 |   -0.9691 |    -1.898 |
+#> |.....................|    -4.295 |    0.1399 |     2.105 |    0.5864 |
+#> |.....................|    0.7671 |     1.329 |     1.042 |    0.8535 |
+#> |.....................|     1.298 |...........|...........|...........|
+#> |    X|     2737.3115 |     26.38 |  0.004434 |    0.2751 |    0.1499 |
+#> |.....................|   0.01363 |    0.5349 |     2.105 |    0.5864 |
+#> |.....................|    0.7671 |     1.329 |     1.042 |    0.8535 |
+#> |.....................|     1.298 |...........|...........|...........|
+#> |    3|     569.57476 |    0.9281 |    -1.002 |   -0.9108 |   -0.9293 |
+#> |.....................|   -0.9774 |   -0.8886 |   -0.7961 |   -0.8964 |
+#> |.....................|   -0.8851 |   -0.8553 |   -0.8670 |   -0.8775 |
+#> |.....................|   -0.8562 |...........|...........|...........|
+#> |    U|     569.57476 |     87.24 |    -5.402 |   -0.9699 |    -1.900 |
+#> |.....................|    -4.300 |    0.1400 |     1.650 |    0.7166 |
+#> |.....................|    0.8537 |     1.198 |     1.004 |    0.8856 |
+#> |.....................|     1.175 |...........|...........|...........|
+#> |    X|     569.57476 |     87.24 |  0.004508 |    0.2749 |    0.1496 |
+#> |.....................|   0.01358 |    0.5349 |     1.650 |    0.7166 |
+#> |.....................|    0.8537 |     1.198 |     1.004 |    0.8856 |
+#> |.....................|     1.175 |...........|...........|...........|
+#> |    4|     531.41065 |    0.9928 |    -1.000 |   -0.9109 |   -0.9296 |
+#> |.....................|   -0.9778 |   -0.8885 |   -0.8528 |   -0.8786 |
+#> |.....................|   -0.8751 |   -0.8663 |   -0.8708 |   -0.8739 |
+#> |.....................|   -0.8668 |...........|...........|...........|
+#> |    U|     531.41065 |     93.32 |    -5.400 |   -0.9700 |    -1.900 |
+#> |.....................|    -4.300 |    0.1400 |     1.605 |    0.7297 |
+#> |.....................|    0.8624 |     1.185 |     1.000 |    0.8888 |
+#> |.....................|     1.163 |...........|...........|...........|
+#> |    X|     531.41065 |     93.32 |  0.004516 |    0.2749 |    0.1496 |
+#> |.....................|   0.01357 |    0.5349 |     1.605 |    0.7297 |
+#> |.....................|    0.8624 |     1.185 |     1.000 |    0.8888 |
+#> |.....................|     1.163 |...........|...........|...........|
+#> |    5|     531.74000 |    0.9993 |    -1.000 |   -0.9109 |   -0.9296 |
+#> |.....................|   -0.9779 |   -0.8885 |   -0.8585 |   -0.8768 |
+#> |.....................|   -0.8741 |   -0.8674 |   -0.8712 |   -0.8735 |
+#> |.....................|   -0.8679 |...........|...........|...........|
+#> |    U|        531.74 |     93.93 |    -5.400 |   -0.9700 |    -1.900 |
+#> |.....................|    -4.300 |    0.1400 |     1.601 |    0.7310 |
+#> |.....................|    0.8632 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |    X|        531.74 |     93.93 |  0.004516 |    0.2749 |    0.1496 |
+#> |.....................|   0.01357 |    0.5349 |     1.601 |    0.7310 |
+#> |.....................|    0.8632 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |    6|     531.81753 |    0.9999 |    -1.000 |   -0.9109 |   -0.9296 |
+#> |.....................|   -0.9779 |   -0.8885 |   -0.8591 |   -0.8767 |
+#> |.....................|   -0.8740 |   -0.8675 |   -0.8712 |   -0.8735 |
+#> |.....................|   -0.8680 |...........|...........|...........|
+#> |    U|     531.81753 |     93.99 |    -5.400 |   -0.9700 |    -1.900 |
+#> |.....................|    -4.300 |    0.1400 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |    X|     531.81753 |     93.99 |  0.004517 |    0.2749 |    0.1496 |
+#> |.....................|   0.01357 |    0.5349 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |    7|     531.82573 |     1.000 |    -1.000 |   -0.9109 |   -0.9296 |
+#> |.....................|   -0.9779 |   -0.8885 |   -0.8591 |   -0.8766 |
+#> |.....................|   -0.8740 |   -0.8675 |   -0.8712 |   -0.8735 |
+#> |.....................|   -0.8680 |...........|...........|...........|
+#> |    U|     531.82573 |     94.00 |    -5.400 |   -0.9700 |    -1.900 |
+#> |.....................|    -4.300 |    0.1400 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |    X|     531.82573 |     94.00 |  0.004517 |    0.2749 |    0.1496 |
+#> |.....................|   0.01357 |    0.5349 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |    8|     531.82668 |     1.000 |    -1.000 |   -0.9109 |   -0.9296 |
+#> |.....................|   -0.9779 |   -0.8885 |   -0.8592 |   -0.8766 |
+#> |.....................|   -0.8740 |   -0.8675 |   -0.8712 |   -0.8735 |
+#> |.....................|   -0.8680 |...........|...........|...........|
+#> |    U|     531.82668 |     94.00 |    -5.400 |   -0.9700 |    -1.900 |
+#> |.....................|    -4.300 |    0.1400 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |    X|     531.82668 |     94.00 |  0.004517 |    0.2749 |    0.1496 |
+#> |.....................|   0.01357 |    0.5349 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |    9|     531.82678 |     1.000 |    -1.000 |   -0.9109 |   -0.9296 |
+#> |.....................|   -0.9779 |   -0.8885 |   -0.8592 |   -0.8766 |
+#> |.....................|   -0.8740 |   -0.8675 |   -0.8712 |   -0.8735 |
+#> |.....................|   -0.8680 |...........|...........|...........|
+#> |    U|     531.82678 |     94.00 |    -5.400 |   -0.9700 |    -1.900 |
+#> |.....................|    -4.300 |    0.1400 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |    X|     531.82678 |     94.00 |  0.004517 |    0.2749 |    0.1496 |
+#> |.....................|   0.01357 |    0.5349 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |   10|     531.82679 |     1.000 |    -1.000 |   -0.9109 |   -0.9296 |
+#> |.....................|   -0.9779 |   -0.8885 |   -0.8592 |   -0.8766 |
+#> |.....................|   -0.8740 |   -0.8675 |   -0.8712 |   -0.8735 |
+#> |.....................|   -0.8680 |...........|...........|...........|
+#> |    U|     531.82679 |     94.00 |    -5.400 |   -0.9700 |    -1.900 |
+#> |.....................|    -4.300 |    0.1400 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |    X|     531.82679 |     94.00 |  0.004517 |    0.2749 |    0.1496 |
+#> |.....................|   0.01357 |    0.5349 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |   11|     531.82679 |     1.000 |    -1.000 |   -0.9109 |   -0.9296 |
+#> |.....................|   -0.9779 |   -0.8885 |   -0.8592 |   -0.8766 |
+#> |.....................|   -0.8740 |   -0.8675 |   -0.8712 |   -0.8735 |
+#> |.....................|   -0.8680 |...........|...........|...........|
+#> |    U|     531.82679 |     94.00 |    -5.400 |   -0.9700 |    -1.900 |
+#> |.....................|    -4.300 |    0.1400 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |    X|     531.82679 |     94.00 |  0.004517 |    0.2749 |    0.1496 |
+#> |.....................|   0.01357 |    0.5349 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |   12|     531.82678 |     1.000 |    -1.000 |   -0.9109 |   -0.9296 |
+#> |.....................|   -0.9779 |   -0.8885 |   -0.8592 |   -0.8766 |
+#> |.....................|   -0.8740 |   -0.8675 |   -0.8712 |   -0.8735 |
+#> |.....................|   -0.8680 |...........|...........|...........|
+#> |    U|     531.82678 |     94.00 |    -5.400 |   -0.9700 |    -1.900 |
+#> |.....................|    -4.300 |    0.1400 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |    X|     531.82678 |     94.00 |  0.004517 |    0.2749 |    0.1496 |
+#> |.....................|   0.01357 |    0.5349 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |   13|     531.82679 |     1.000 |    -1.000 |   -0.9109 |   -0.9296 |
+#> |.....................|   -0.9779 |   -0.8885 |   -0.8592 |   -0.8766 |
+#> |.....................|   -0.8740 |   -0.8675 |   -0.8712 |   -0.8735 |
+#> |.....................|   -0.8680 |...........|...........|...........|
+#> |    U|     531.82679 |     94.00 |    -5.400 |   -0.9700 |    -1.900 |
+#> |.....................|    -4.300 |    0.1400 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |    X|     531.82679 |     94.00 |  0.004517 |    0.2749 |    0.1496 |
+#> |.....................|   0.01357 |    0.5349 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |   14|     531.82679 |     1.000 |    -1.000 |   -0.9109 |   -0.9296 |
+#> |.....................|   -0.9779 |   -0.8885 |   -0.8592 |   -0.8766 |
+#> |.....................|   -0.8740 |   -0.8675 |   -0.8712 |   -0.8735 |
+#> |.....................|   -0.8680 |...........|...........|...........|
+#> |    U|     531.82679 |     94.00 |    -5.400 |   -0.9700 |    -1.900 |
+#> |.....................|    -4.300 |    0.1400 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |    X|     531.82679 |     94.00 |  0.004517 |    0.2749 |    0.1496 |
+#> |.....................|   0.01357 |    0.5349 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |   15|     531.82679 |     1.000 |    -1.000 |   -0.9109 |   -0.9296 |
+#> |.....................|   -0.9779 |   -0.8885 |   -0.8592 |   -0.8766 |
+#> |.....................|   -0.8740 |   -0.8675 |   -0.8712 |   -0.8735 |
+#> |.....................|   -0.8680 |...........|...........|...........|
+#> |    U|     531.82679 |     94.00 |    -5.400 |   -0.9700 |    -1.900 |
+#> |.....................|    -4.300 |    0.1400 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |    X|     531.82679 |     94.00 |  0.004517 |    0.2749 |    0.1496 |
+#> |.....................|   0.01357 |    0.5349 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |   16|     531.82679 |     1.000 |    -1.000 |   -0.9109 |   -0.9296 |
+#> |.....................|   -0.9779 |   -0.8885 |   -0.8592 |   -0.8766 |
+#> |.....................|   -0.8740 |   -0.8675 |   -0.8712 |   -0.8735 |
+#> |.....................|   -0.8680 |...........|...........|...........|
+#> |    U|     531.82679 |     94.00 |    -5.400 |   -0.9700 |    -1.900 |
+#> |.....................|    -4.300 |    0.1400 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |    X|     531.82679 |     94.00 |  0.004517 |    0.2749 |    0.1496 |
+#> |.....................|   0.01357 |    0.5349 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |   17|     531.82679 |     1.000 |    -1.000 |   -0.9109 |   -0.9296 |
+#> |.....................|   -0.9779 |   -0.8885 |   -0.8592 |   -0.8766 |
+#> |.....................|   -0.8740 |   -0.8675 |   -0.8712 |   -0.8735 |
+#> |.....................|   -0.8680 |...........|...........|...........|
+#> |    U|     531.82679 |     94.00 |    -5.400 |   -0.9700 |    -1.900 |
+#> |.....................|    -4.300 |    0.1400 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> |    X|     531.82679 |     94.00 |  0.004517 |    0.2749 |    0.1496 |
+#> |.....................|   0.01357 |    0.5349 |     1.600 |    0.7311 |
+#> |.....................|    0.8633 |     1.183 |     1.000 |    0.8891 |
+#> |.....................|     1.161 |...........|...........|...........|
+#> calculating covariance matrix
+#> done
+#> Calculating residuals/tables
+#> done
+#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))
+#> Warning: last objective function was not at minimum, possible problems in optimization
+#> Warning: using R matrix to calculate covariance, can check sandwich or S matrix with $covRS and $covS
+#> Warning: gradient problems with initial estimate and covariance; see $scaleInfo
+
+# Variance by variable is supported by 'saem' and 'focei'
+f_nlmixr_fomc_sfo_saem_obs <- nlmixr(f_mmkin_obs["FOMC-SFO", ], est = "saem")
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#>  
+#> → generate SAEM model
+#> ✔ done
+#> 1:    93.4067   -5.7935   -0.0604    2.2993   -1.1624    2.9450    1.7342    0.6650    0.5890    0.4750   14.5215    9.1023
+#> 2:    93.8811   -5.7873   -0.0289    2.3640   -1.0762    2.7977    2.0710    0.6317    0.5595    0.4512   11.1033    4.6425
+#> 3:    94.0397   -5.9934    0.0119    2.4035   -1.0703    3.0693    2.4524    0.6124    0.5316    0.4287   10.0698    3.4243
+#> 4:    93.8834   -6.0401    0.0041    2.3944   -1.0097    2.9159    3.1645    0.6120    0.5050    0.4073    9.2013    3.2162
+#> 5:    94.0163   -5.8381   -0.0267    2.3580   -1.0239    2.7701    3.0063    0.5814    0.4797    0.3869    9.0330    3.0330
+#> 6:    93.9753   -5.8371   -0.0315    2.3598   -1.0052    2.6316    2.8559    0.5708    0.4558    0.3675    8.6051    2.6518
+#> 7:    93.6109   -5.8741   -0.0401    2.3570   -1.0025    2.5000    2.7131    0.5691    0.4330    0.3492    8.4407    2.4701
+#> 8:    93.2480   -6.0361   -0.0523    2.3504   -1.0028    2.3750    3.1584    0.5407    0.4113    0.3317    8.6121    2.2437
+#> 9:    93.2245   -6.0431   -0.0503    2.3552   -0.9828    2.2562    3.9790    0.5395    0.3908    0.3151    8.6609    2.1129
+#> 10:    93.3040   -6.1080   -0.0503    2.3613   -0.9784    2.1434    4.8606    0.5401    0.3712    0.2994    8.6497    2.0865
+#> 11:    93.4509   -5.9532   -0.0503    2.3444   -0.9823    3.0948    4.6176    0.5679    0.3527    0.2844    8.1651    2.0310
+#> 12:    93.5099   -6.1699   -0.0503    2.3408   -0.9746    3.2814    4.3867    0.5679    0.3350    0.2702    8.1716    1.9862
+#> 13:    93.8052   -6.1984   -0.0474    2.3233   -0.9922    3.1173    4.6967    0.5644    0.3183    0.2567    8.2982    2.0040
+#> 14:    93.6510   -6.0090   -0.0429    2.3601   -0.9885    2.9615    4.4618    0.5526    0.3024    0.2438    8.3254    2.0605
+#> 15:    93.8952   -6.3354   -0.0394    2.3580   -0.9792    2.8134    5.2117    0.5657    0.2872    0.2316    8.1329    2.0520
+#> 16:    93.4703   -6.0722   -0.0434    2.3386   -1.0026    2.6727    4.9512    0.5781    0.2729    0.2201    8.0866    2.0994
+#> 17:    93.4238   -6.2132   -0.0755    2.3120   -1.0119    2.5391    4.7036    0.5495    0.2592    0.2091    7.5958    2.2864
+#> 18:    93.5288   -6.2747   -0.0616    2.3223   -1.0105    2.4121    4.4684    0.5467    0.2463    0.1986    7.1910    1.9828
+#> 19:    93.2607   -6.3635   -0.0631    2.3206   -1.0045    3.6271    4.8142    0.5405    0.2340    0.1928    7.3672    1.8187
+#> 20:    93.3918   -6.3241   -0.0742    2.2941   -1.0140    3.4457    4.9242    0.5596    0.2223    0.1950    7.1427    1.8754
+#> 21:    93.6794   -6.1336   -0.0758    2.3000   -1.0048    3.2734    4.6780    0.5565    0.2111    0.1852    7.0989    1.9232
+#> 22:    94.0006   -6.1882   -0.0800    2.3099   -1.0252    3.1098    4.4441    0.5354    0.2006    0.1870    7.0038    1.9920
+#> 23:    93.6433   -6.2626   -0.0841    2.2791   -1.0183    4.8893    4.4476    0.5276    0.1906    0.1798    6.3698    1.8787
+#> 24:    93.9545   -6.3772   -0.0816    2.2887   -1.0019    4.6448    5.1698    0.5293    0.1810    0.1779    6.5903    1.9474
+#> 25:    94.2280   -6.3235   -0.0839    2.2600   -0.9932    5.2801    4.9113    0.5262    0.1720    0.1806    6.5267    1.9807
+#> 26:    94.2022   -6.2830   -0.0883    2.2643   -1.0012    5.9595    4.6658    0.5225    0.1634    0.1795    6.3678    1.9659
+#> 27:    94.4398   -6.1769   -0.0894    2.2564   -1.0177    9.0771    4.4325    0.5207    0.1552    0.1880    6.4522    1.8590
+#> 28:    94.2586   -6.1652   -0.0882    2.2574   -1.0226    8.6233    4.2108    0.5158    0.1475    0.1881    6.3701    1.7882
+#> 29:    94.3490   -6.1505   -0.0854    2.2615   -1.0081    9.6333    4.0003    0.5109    0.1423    0.1833    6.3601    1.8485
+#> 30:    94.6929   -6.0285   -0.0909    2.2610   -1.0082    9.1517    3.8003    0.5117    0.1401    0.2097    6.2461    1.8606
+#> 31:    94.2553   -6.0390   -0.0896    2.2625   -1.0078    8.6941    3.6103    0.5072    0.1378    0.2088    6.3337    1.8220
+#> 32:    94.3096   -5.7252   -0.0886    2.2677   -0.9967    9.0244    3.4298    0.5051    0.1325    0.2015    6.4601    1.8880
+#> 33:    94.8327   -5.8775   -0.0865    2.2684   -0.9976    8.6305    3.2583    0.4920    0.1333    0.1993    6.4804    1.8203
+#> 34:    94.3527   -5.9488   -0.0826    2.2879   -0.9989    8.1989    3.1538    0.4969    0.1388    0.1984    6.4201    1.7696
+#> 35:    94.4411   -6.1171   -0.0826    2.2913   -0.9964    8.4377    3.7937    0.4969    0.1387    0.1972    6.3878    1.7612
+#> 36:    94.2058   -6.1151   -0.0844    2.2920   -1.0069    8.0158    3.7963    0.4962    0.1395    0.1938    6.2469    1.6680
+#> 37:    93.7449   -6.1251   -0.0925    2.2736   -1.0019    7.6150    3.8477    0.5101    0.1325    0.1841    6.1375    1.7472
+#> 38:    93.6861   -6.0575   -0.0934    2.2803   -1.0097    7.2343    3.6553    0.5119    0.1259    0.1862    6.0729    1.7608
+#> 39:    93.9767   -6.0314   -0.0999    2.2548   -1.0231    6.8726    3.4725    0.5195    0.1234    0.1951    6.1947    1.8276
+#> 40:    94.0297   -6.1559   -0.0989    2.2440   -1.0374    6.5290    3.8559    0.5199    0.1279    0.1891    6.0195    1.8906
+#> 41:    94.2069   -6.3055   -0.0820    2.2710   -1.0275    6.2025    4.7866    0.5304    0.1215    0.1858    6.1777    1.8541
+#> 42:    94.2400   -6.3179   -0.0790    2.2783   -1.0379    5.8924    4.6915    0.5253    0.1154    0.1794    6.0530    1.8960
+#> 43:    93.9851   -6.4096   -0.0784    2.2832   -1.0341    5.5978    5.0608    0.5163    0.1097    0.1773    6.0057    1.8136
+#> 44:    94.1440   -6.2214   -0.0746    2.2969   -1.0262    5.3179    4.8077    0.5130    0.1079    0.1851    6.1182    1.8390
+#> 45:    93.8847   -6.3883   -0.0745    2.3059   -1.0132    6.8202    5.1378    0.5130    0.1174    0.1769    6.1000    1.8391
+#> 46:    93.7228   -6.3305   -0.0794    2.3033   -1.0107    6.4792    4.8809    0.5095    0.1196    0.1783    6.2794    1.7304
+#> 47:    93.7031   -6.4232   -0.0796    2.3006   -1.0028    6.1552    5.5756    0.5092    0.1243    0.1887    6.1716    1.7279
+#> 48:    93.5210   -6.2770   -0.0794    2.2948   -1.0122    5.8475    5.2968    0.5098    0.1247    0.1863    5.9847    1.7994
+#> 49:    93.3676   -6.4486   -0.0754    2.3079   -1.0061    5.5551    5.4356    0.5018    0.1198    0.1858    6.1108    1.7598
+#> 50:    93.8573   -6.3944   -0.0755    2.3057   -1.0038    5.2773    5.2487    0.5063    0.1193    0.1843    6.0935    1.7725
+#> 51:    93.7004   -6.2783   -0.0854    2.2836   -1.0074    5.0135    4.9863    0.4932    0.1269    0.1858    6.1630    1.8063
+#> 52:    93.4843   -6.3763   -0.0962    2.2731   -1.0073    4.7628    5.0969    0.4815    0.1345    0.1924    6.0823    1.8013
+#> 53:    93.6971   -6.5002   -0.0887    2.2774   -1.0111    4.5246    5.7428    0.4726    0.1346    0.1982    6.1744    1.7695
+#> 54:    93.6176   -6.4928   -0.0917    2.2648   -1.0220    4.2984    5.4557    0.4765    0.1419    0.2017    6.3732    1.8195
+#> 55:    93.7072   -6.5760   -0.0833    2.2865   -1.0282    4.0835    5.9775    0.4732    0.1434    0.1963    6.3653    1.7028
+#> 56:    94.1360   -6.6854   -0.0901    2.2941   -1.0244    3.8793    7.2562    0.4637    0.1393    0.1935    6.3001    1.7878
+#> 57:    93.4627   -6.6255   -0.1049    2.2502   -1.0233    3.6854    6.8934    0.4847    0.1323    0.1878    6.2357    1.8480
+#> 58:    93.8066   -6.6603   -0.1049    2.2362   -1.0280    3.5011    6.9334    0.4847    0.1397    0.1872    6.3582    1.7787
+#> 59:    93.8599   -6.7837   -0.1046    2.2450   -1.0274    3.3260    8.4672    0.4853    0.1332    0.1833    6.1248    1.8066
+#> 60:    93.6190   -6.5618   -0.1055    2.2381   -1.0244    3.1597    8.0438    0.4742    0.1390    0.1858    6.2589    1.7881
+#> 61:    93.7045   -6.6482   -0.1159    2.2413   -1.0272    3.2942    7.8485    0.4655    0.1406    0.1827    5.8425    1.7744
+#> 62:    93.5232   -6.5027   -0.1168    2.2418   -1.0187    3.3810    7.4560    0.4766    0.1414    0.1790    5.9349    1.7717
+#> 63:    93.4884   -6.4221   -0.1164    2.2505   -1.0062    3.2119    7.0832    0.4768    0.1422    0.1752    6.0193    1.7434
+#> 64:    93.2305   -6.4456   -0.1153    2.2573   -1.0062    4.1468    6.7291    0.4776    0.1395    0.1753    5.8355    1.7529
+#> 65:    93.3743   -6.3237   -0.1227    2.2484   -1.0102    3.9395    6.3926    0.4864    0.1374    0.1800    5.6731    1.7808
+#> 66:    93.7132   -6.3178   -0.1186    2.2389   -0.9894    4.0557    6.0730    0.4909    0.1426    0.1807    5.7099    1.7283
+#> 67:    93.7490   -6.3514   -0.1155    2.2445   -0.9946    3.8529    5.7693    0.4938    0.1379    0.1830    5.7366    1.7847
+#> 68:    93.7617   -6.1181   -0.1251    2.2487   -0.9841    3.7650    5.4809    0.4816    0.1549    0.1769    5.6569    1.7415
+#> 69:    93.4342   -6.3588   -0.1301    2.2350   -0.9813    4.5688    5.2068    0.4745    0.1624    0.1736    5.5771    1.7091
+#> 70:    93.5303   -6.3266   -0.1330    2.2384   -0.9753    4.3404    4.9465    0.4734    0.1563    0.1699    5.5332    1.7256
+#> 71:    93.4733   -6.2859   -0.1364    2.2170   -0.9781    4.1234    4.6992    0.4701    0.1604    0.1649    5.6661    1.7335
+#> 72:    93.3055   -6.2502   -0.1462    2.2156   -0.9724    3.9172    4.7693    0.4519    0.1607    0.1582    5.4776    1.7679
+#> 73:    93.3010   -6.6844   -0.1490    2.2262   -0.9777    3.7213    6.9975    0.4426    0.1848    0.1640    5.7066    1.7588
+#> 74:    93.1104   -6.6720   -0.1484    2.2079   -0.9982    3.5353    6.7811    0.4436    0.1807    0.1732    5.7700    1.7343
+#> 75:    93.4534   -6.9644   -0.1480    2.2078   -0.9930    3.3585    8.7027    0.4497    0.1717    0.1708    5.5371    1.7098
+#> 76:    93.5886   -6.3503   -0.1491    2.1958   -0.9884    3.7136    8.2676    0.4509    0.1731    0.1706    5.3943    1.7340
+#> 77:    93.4345   -6.4976   -0.1531    2.1831   -0.9928    4.5945    7.8542    0.4592    0.1741    0.1703    5.5564    1.7164
+#> 78:    93.6007   -6.4885   -0.1538    2.1850   -0.9919    4.3647    7.4615    0.4607    0.1803    0.1692    5.4698    1.7354
+#> 79:    93.2897   -7.0329   -0.1518    2.1935   -0.9863    4.6922   10.9870    0.4569    0.1790    0.1608    5.3799    1.7484
+#> 80:    93.4130   -6.6634   -0.1531    2.1865   -0.9839    5.4720   10.4377    0.4585    0.1852    0.1543    5.4298    1.7237
+#> 81:    93.5828   -6.7204   -0.1563    2.1914   -0.9882    5.1984    9.9158    0.4548    0.1973    0.1600    5.4425    1.7741
+#> 82:    93.4450   -6.7357   -0.1537    2.1964   -0.9958    4.9384   10.1331    0.4577    0.1874    0.1632    5.6874    1.7789
+#> 83:    93.6109   -6.9249   -0.1493    2.2061   -0.9945    4.6915   11.1537    0.4474    0.1781    0.1686    5.4249    1.7317
+#> 84:    93.7133   -6.8029   -0.1493    2.2016   -0.9886    4.4569   10.9568    0.4474    0.1715    0.1689    5.5426    1.7227
+#> 85:    93.8040   -6.6434   -0.1483    2.2032   -0.9861    5.4991   10.4090    0.4330    0.1749    0.1726    5.4570    1.7332
+#> 86:    93.9029   -6.7750   -0.1472    2.2066   -0.9892    5.2241   11.7325    0.4352    0.1819    0.1644    5.5652    1.6802
+#> 87:    93.8127   -6.7015   -0.1499    2.2019   -0.9891    4.9629   11.1459    0.4292    0.1977    0.1661    5.7122    1.6713
+#> 88:    93.6777   -6.7044   -0.1440    2.2074   -1.0050    4.7148   10.5886    0.4379    0.1878    0.1750    5.6084    1.7096
+#> 89:    94.0481   -6.2990   -0.1443    2.2085   -0.9869    4.4790   10.0591    0.4355    0.1951    0.1688    5.4280    1.8093
+#> 90:    93.6399   -6.3965   -0.1429    2.2138   -0.9737    5.1306    9.5562    0.4367    0.1917    0.1604    5.5652    1.7458
+#> 91:    93.8670   -6.3075   -0.1426    2.2128   -0.9856    5.1368    9.0784    0.4427    0.1993    0.1546    5.3927    1.8246
+#> 92:    93.7332   -6.4793   -0.1426    2.2091   -0.9835    5.0102    8.6245    0.4427    0.1986    0.1585    5.4463    1.7343
+#> 93:    93.8211   -6.3270   -0.1416    2.2123   -0.9941    4.7597    8.1932    0.4431    0.1908    0.1689    5.5213    1.7093
+#> 94:    93.7499   -6.0880   -0.1390    2.2158   -0.9960    5.1992    7.7836    0.4444    0.1958    0.1733    5.5329    1.7880
+#> 95:    93.6253   -6.2196   -0.1436    2.2126   -1.0053    4.9392    7.3944    0.4383    0.2011    0.1717    5.6042    1.7460
+#> 96:    93.8862   -6.1475   -0.1408    2.2211   -0.9922    4.6923    7.0247    0.4347    0.2077    0.1669    5.6807    1.6943
+#> 97:    93.7610   -6.2409   -0.1368    2.2281   -0.9864    4.4576    6.6734    0.4313    0.2084    0.1723    5.5387    1.7075
+#> 98:    93.5362   -6.3378   -0.1368    2.2294   -0.9813    4.2348    6.3398    0.4313    0.2127    0.1877    5.5850    1.6627
+#> 99:    93.5044   -6.2557   -0.1311    2.2282   -0.9993    4.0230    6.0228    0.4461    0.2167    0.1879    5.6437    1.7076
+#> 100:    93.3102   -6.3602   -0.1311    2.2368   -1.0040    3.8219    5.7216    0.4461    0.2139    0.1875    5.8029    1.7592
+#> 101:    93.4687   -6.0385   -0.1241    2.2347   -1.0031    3.6308    5.4356    0.4483    0.2035    0.1816    6.0097    1.7002
+#> 102:    93.6536   -6.2867   -0.1299    2.2421   -1.0002    3.4492    5.1743    0.4434    0.1993    0.1872    5.8540    1.7162
+#> 103:    93.9532   -6.2261   -0.1277    2.2361   -0.9931    3.2768    5.0546    0.4450    0.2069    0.1884    5.6688    1.7324
+#> 104:    93.9839   -6.1980   -0.1287    2.2286   -1.0081    3.1129    5.0671    0.4475    0.1997    0.1985    5.7690    1.7636
+#> 105:    94.1682   -6.1671   -0.1283    2.2217   -1.0154    2.9573    4.8137    0.4481    0.1976    0.1965    5.9277    1.7386
+#> 106:    94.2778   -6.1839   -0.1243    2.2323   -1.0022    3.5381    4.5730    0.4707    0.1980    0.1932    5.7059    1.7184
+#> 107:    94.3667   -5.9941   -0.1182    2.2283   -1.0191    3.3612    4.3444    0.4753    0.1984    0.1986    5.7813    1.7446
+#> 108:    94.2722   -6.1869   -0.1171    2.2293   -1.0027    3.6659    4.6329    0.4742    0.1986    0.2011    5.7827    1.7074
+#> 109:    94.1997   -6.2385   -0.1172    2.2241   -1.0083    3.4826    4.7954    0.4721    0.2027    0.2020    5.8339    1.7650
+#> 110:    94.3017   -6.3774   -0.1291    2.2229   -0.9857    3.7634    5.8516    0.4810    0.2126    0.1984    5.7961    1.6706
+#> 111:    93.9803   -6.0240   -0.1258    2.2273   -0.9879    3.5752    5.5590    0.4749    0.2060    0.1976    5.6243    1.7082
+#> 112:    94.1307   -6.0036   -0.1253    2.2365   -0.9886    4.0368    5.2810    0.4760    0.2060    0.1975    5.5732    1.7063
+#> 113:    93.8676   -6.2496   -0.1118    2.2600   -1.0080    3.8350    5.0170    0.4855    0.2109    0.2006    5.6406    1.7357
+#> 114:    93.5949   -6.3200   -0.1044    2.2449   -1.0172    3.6472    4.7661    0.4868    0.2095    0.2131    5.7690    1.7428
+#> 115:    93.6997   -6.3282   -0.1046    2.2567   -1.0135    3.4648    4.8622    0.4876    0.2264    0.2134    5.8853    1.7823
+#> 116:    93.8191   -6.0802   -0.1087    2.2535   -1.0011    3.4347    4.6191    0.4786    0.2176    0.2108    5.6553    1.7802
+#> 117:    93.8575   -6.0930   -0.1022    2.2498   -0.9898    3.3071    4.3881    0.4822    0.2163    0.2075    5.7806    1.8150
+#> 118:    93.9164   -5.9787   -0.1133    2.2535   -0.9861    4.2578    4.1687    0.4687    0.2198    0.2088    5.4441    1.8411
+#> 119:    93.8748   -6.0108   -0.1165    2.2488   -0.9775    4.0449    3.9603    0.4653    0.2271    0.2032    5.6119    1.7501
+#> 120:    93.6001   -6.0447   -0.1144    2.2477   -0.9821    3.8426    3.7623    0.4641    0.2223    0.2055    5.6454    1.7244
+#> 121:    93.6712   -5.9851   -0.1195    2.2484   -0.9917    3.6505    3.5742    0.4600    0.2143    0.2010    5.4083    1.7965
+#> 122:    93.6859   -6.0390   -0.1145    2.2497   -0.9888    3.4680    3.5595    0.4618    0.2136    0.1986    5.4111    1.7519
+#> 123:    93.6014   -5.8383   -0.1145    2.2584   -0.9893    3.6047    3.3815    0.4618    0.2155    0.2045    5.3624    1.7023
+#> 124:    93.6333   -5.7861   -0.1131    2.2556   -0.9872    3.4245    3.2125    0.4621    0.2153    0.2025    5.3930    1.7036
+#> 125:    93.4504   -5.9483   -0.1154    2.2531   -0.9924    3.2533    3.0518    0.4640    0.2175    0.2030    5.5097    1.6830
+#> 126:    93.5693   -5.8818   -0.1120    2.2506   -0.9960    3.0906    2.8992    0.4606    0.2267    0.2016    5.4583    1.6650
+#> 127:    93.7074   -5.8191   -0.1178    2.2412   -0.9891    2.9361    2.7543    0.4688    0.2234    0.2039    5.4861    1.8125
+#> 128:    93.5959   -5.8842   -0.1179    2.2544   -0.9985    3.0224    2.6166    0.4700    0.2237    0.2019    5.6417    1.8454
+#> 129:    93.5600   -5.8683   -0.1161    2.2365   -0.9987    3.4186    2.4857    0.4721    0.2182    0.1918    5.4391    1.8145
+#> 130:    93.4104   -5.8226   -0.1126    2.2355   -0.9892    3.3648    2.4231    0.4763    0.2212    0.1873    5.3999    1.7457
+#> 131:    93.5045   -5.7255   -0.1118    2.2486   -0.9918    4.1951    2.3020    0.4776    0.2121    0.1927    5.4342    1.7744
+#> 132:    93.2626   -5.8379   -0.1097    2.2510   -0.9933    3.9853    2.5572    0.4763    0.2114    0.1966    5.2979    1.7239
+#> 133:    93.4370   -5.9097   -0.1049    2.2578   -0.9939    4.2190    2.8246    0.4738    0.2036    0.2020    5.2853    1.6765
+#> 134:    93.8665   -5.9439   -0.1035    2.2654   -0.9832    4.0081    3.1228    0.4756    0.2102    0.1961    5.3467    1.7177
+#> 135:    93.6301   -5.8062   -0.1031    2.2702   -0.9737    3.9024    2.9667    0.4748    0.2101    0.2003    5.3053    1.6977
+#> 136:    93.7744   -5.9328   -0.1055    2.2685   -0.9764    3.7072    2.9952    0.4721    0.2096    0.1949    5.4319    1.6864
+#> 137:    93.6734   -5.9886   -0.1107    2.2517   -0.9732    3.8811    3.4962    0.4642    0.2204    0.1924    5.4294    1.6684
+#> 138:    93.7128   -5.9927   -0.1119    2.2517   -0.9775    3.6870    3.4543    0.4667    0.2204    0.1953    5.3912    1.7060
+#> 139:    93.6530   -6.1296   -0.1210    2.2456   -0.9929    3.5027    4.6472    0.4527    0.2296    0.1855    5.4953    1.7242
+#> 140:    93.9344   -6.2519   -0.1384    2.2304   -0.9970    3.6814    4.4707    0.4337    0.2182    0.1762    5.5643    1.7596
+#> 141:    93.7356   -6.2804   -0.1296    2.2549   -0.9921    3.9811    4.4876    0.4218    0.2361    0.1674    5.3531    1.7175
+#> 142:    93.7399   -6.0023   -0.1098    2.2611   -0.9815    3.7821    4.2632    0.4395    0.2421    0.1807    5.3139    1.7191
+#> 143:    93.4732   -6.0376   -0.1108    2.2689   -0.9734    3.5930    4.0500    0.4396    0.2541    0.1718    5.2930    1.6229
+#> 144:    93.4900   -5.9517   -0.1093    2.2876   -0.9675    3.4133    3.8475    0.4337    0.2542    0.1711    5.4258    1.5660
+#> 145:    93.4090   -5.9596   -0.1000    2.2942   -0.9756    3.2426    3.6551    0.4274    0.2422    0.1671    5.3539    1.6971
+#> 146:    93.4142   -5.9549   -0.0982    2.2846   -0.9704    3.0805    3.6092    0.4226    0.2339    0.1745    5.5092    1.6696
+#> 147:    93.4409   -6.0720   -0.0971    2.2942   -0.9891    2.9265    3.9922    0.4224    0.2373    0.1781    5.5599    1.6080
+#> 148:    93.4504   -6.2201   -0.0980    2.2855   -0.9832    2.7802    4.6985    0.4104    0.2464    0.1856    5.5016    1.5877
+#> 149:    93.4240   -6.2122   -0.1005    2.2728   -0.9881    3.7659    4.7755    0.4082    0.2642    0.1885    5.4942    1.5534
+#> 150:    93.5094   -6.1295   -0.1087    2.2717   -0.9941    3.5776    4.5367    0.4109    0.2611    0.1928    5.3468    1.5585
+#> 151:    93.4038   -6.2751   -0.1130    2.2643   -0.9892    3.3987    4.9866    0.4172    0.2638    0.1905    5.4955    1.6256
+#> 152:    93.5072   -6.3361   -0.1147    2.2627   -0.9988    2.3580    5.3824    0.4175    0.2656    0.1819    5.7685    1.6126
+#> 153:    93.3582   -6.2019   -0.1227    2.2526   -0.9929    2.5874    4.7052    0.4348    0.2621    0.1810    5.5149    1.6181
+#> 154:    93.1890   -6.3537   -0.1263    2.2446   -0.9871    2.4073    5.7070    0.4351    0.2586    0.1829    5.3136    1.6272
+#> 155:    93.1706   -6.4117   -0.1260    2.2484   -0.9845    2.3035    6.0004    0.4463    0.2586    0.1781    5.4260    1.6494
+#> 156:    93.3240   -6.3931   -0.1259    2.2469   -0.9824    2.5659    5.7375    0.4466    0.2781    0.1754    5.6202    1.6591
+#> 157:    93.3239   -6.1812   -0.1242    2.2541   -0.9743    1.6054    4.5906    0.4478    0.2657    0.1758    5.6806    1.6367
+#> 158:    93.3756   -6.2562   -0.1264    2.2706   -0.9888    1.5329    4.6790    0.4458    0.2532    0.1728    5.7756    1.6248
+#> 159:    93.3034   -6.3291   -0.1217    2.2524   -0.9954    1.7774    5.7204    0.4532    0.2642    0.1715    5.8189    1.6830
+#> 160:    93.4387   -6.5115   -0.1196    2.2488   -0.9846    2.2219    6.4960    0.4555    0.2728    0.1689    5.5273    1.6332
+#> 161:    93.7646   -6.3820   -0.1231    2.2520   -0.9837    2.8322    5.7269    0.4498    0.2712    0.1730    5.3659    1.5787
+#> 162:    93.6252   -6.4563   -0.1243    2.2472   -0.9867    2.8322    5.9119    0.4502    0.2671    0.1726    5.4519    1.5819
+#> 163:    93.6787   -6.6444   -0.1292    2.2366   -0.9899    2.0520    7.4835    0.4556    0.2705    0.1689    5.4095    1.5883
+#> 164:    93.7458   -6.9330   -0.1257    2.2430   -0.9872    1.7825    9.4340    0.4495    0.2701    0.1593    5.4517    1.6116
+#> 165:    93.7370   -6.9118   -0.1250    2.2421   -0.9832    1.9949   10.6549    0.4499    0.2685    0.1622    5.6272    1.6075
+#> 166:    94.0889   -6.8704   -0.1276    2.2409   -0.9872    1.5618   10.4435    0.4482    0.2608    0.1648    5.5891    1.6208
+#> 167:    94.1319   -7.2779   -0.1206    2.2505   -0.9894    1.5063   13.4312    0.4393    0.2549    0.1661    5.6013    1.6043
+#> 168:    93.8341   -6.9310   -0.1140    2.2495   -0.9844    1.7329   11.3224    0.4463    0.2540    0.1629    5.8366    1.6765
+#> 169:    93.8923   -6.6547   -0.1173    2.2620   -0.9872    1.4531    8.4608    0.4419    0.2414    0.1666    5.8784    1.6268
+#> 170:    94.0072   -6.3970   -0.1173    2.2606   -0.9861    1.4164    6.9237    0.4419    0.2468    0.1656    5.8793    1.6387
+#> 171:    93.8690   -6.5151   -0.1079    2.2482   -0.9880    1.9225    7.7681    0.4547    0.2404    0.1523    6.0158    1.6281
+#> 172:    93.6847   -6.3416   -0.1095    2.2438   -0.9849    2.0143    5.5739    0.4498    0.2450    0.1534    6.1355    1.6422
+#> 173:    93.4817   -6.3165   -0.1115    2.2573   -0.9885    1.6855    5.5626    0.4440    0.2471    0.1542    6.1343    1.6337
+#> 174:    93.6781   -6.2722   -0.1113    2.2521   -0.9958    1.9186    5.3383    0.4471    0.2427    0.1565    6.1081    1.6358
+#> 175:    93.7764   -6.1664   -0.1113    2.2468   -0.9864    1.6286    4.6233    0.4471    0.2426    0.1596    5.8892    1.6375
+#> 176:    93.9246   -6.2164   -0.1160    2.2529   -0.9853    1.0357    4.8013    0.4422    0.2471    0.1756    5.7340    1.6016
+#> 177:    93.9711   -6.1274   -0.1112    2.2540   -0.9883    1.2079    4.1536    0.4415    0.2492    0.1783    5.8399    1.6291
+#> 178:    93.9212   -6.0532   -0.1116    2.2593   -0.9742    1.2409    3.6443    0.4489    0.2458    0.1683    5.8422    1.6290
+#> 179:    94.0137   -6.0739   -0.1095    2.2664   -0.9778    1.5060    3.9878    0.4506    0.2370    0.1746    6.0349    1.6326
+#> 180:    93.9247   -6.0681   -0.1130    2.2660   -0.9934    1.9619    3.9582    0.4474    0.2328    0.1773    5.8082    1.6740
+#> 181:    93.7150   -6.0191   -0.1153    2.2558   -0.9915    2.6849    3.7075    0.4491    0.2283    0.1759    5.7187    1.6842
+#> 182:    93.5908   -6.1098   -0.1111    2.2769   -0.9942    3.0096    3.9325    0.4643    0.2275    0.1736    5.9243    1.6466
+#> 183:    93.3386   -6.0987   -0.1131    2.2630   -0.9962    3.5457    4.1285    0.4693    0.2373    0.1751    5.6948    1.7222
+#> 184:    93.4889   -6.3097   -0.1134    2.2660   -0.9720    3.0855    5.2642    0.4648    0.2255    0.1585    5.6827    1.7444
+#> 185:    93.6387   -6.1883   -0.1188    2.2622   -0.9603    3.3568    4.8291    0.4554    0.2223    0.1681    5.7089    1.8164
+#> 186:    93.3420   -6.2909   -0.1195    2.2656   -0.9835    3.2124    4.8317    0.4541    0.2286    0.1531    5.7574    1.7708
+#> 187:    93.4395   -6.0358   -0.1165    2.2528   -0.9917    3.8299    3.3301    0.4518    0.2370    0.1593    5.8508    1.6988
+#> 188:    93.5358   -6.0105   -0.1161    2.2540   -0.9813    5.1249    3.3448    0.4522    0.2361    0.1660    5.8700    1.6525
+#> 189:    93.4932   -6.1199   -0.1129    2.2636   -0.9812    4.5430    4.3213    0.4428    0.2359    0.1907    5.6970    1.7268
+#> 190:    93.4754   -5.9088   -0.1171    2.2564   -0.9614    4.6253    3.2590    0.4410    0.2399    0.1864    5.7116    1.8140
+#> 191:    93.4709   -5.9676   -0.1171    2.2568   -0.9748    4.8326    3.6704    0.4410    0.2428    0.1812    5.5925    1.7267
+#> 192:    93.3895   -5.9940   -0.1191    2.2523   -0.9691    4.3019    3.5174    0.4360    0.2484    0.1591    5.4631    1.7057
+#> 193:    93.4904   -6.0400   -0.1173    2.2519   -0.9697    4.6476    3.6255    0.4389    0.2388    0.1694    5.5362    1.7174
+#> 194:    93.4591   -5.9642   -0.1245    2.2626   -0.9559    5.3125    3.8133    0.4297    0.2550    0.1660    5.7591    1.7344
+#> 195:    93.6610   -6.2211   -0.1226    2.2580   -0.9669    5.2051    4.9271    0.4318    0.2414    0.1811    5.7010    1.7710
+#> 196:    93.4249   -5.9570   -0.1068    2.2735   -0.9727    5.1049    3.4872    0.4442    0.2429    0.1815    5.7753    1.7379
+#> 197:    93.4082   -6.0568   -0.1054    2.2754   -0.9865    5.2827    3.9305    0.4554    0.2408    0.1925    5.7514    1.7163
+#> 198:    93.3856   -5.8616   -0.1087    2.2708   -0.9686    4.1369    3.0197    0.4530    0.2473    0.1878    5.6920    1.7043
+#> 199:    93.5488   -6.0494   -0.1167    2.2682   -0.9719    3.8010    3.8897    0.4600    0.2445    0.1860    5.7126    1.6605
+#> 200:    93.3779   -5.9779   -0.1110    2.2761   -0.9780    3.5955    3.4721    0.4595    0.2468    0.1941    5.7539    1.6736
+#> 201:    93.4946   -6.0259   -0.1102    2.2676   -0.9755    3.0583    3.7305    0.4592    0.2554    0.1921    5.8877    1.6730
+#> 202:    93.4698   -6.0522   -0.1110    2.2685   -0.9703    2.9421    3.8718    0.4579    0.2595    0.1906    5.8527    1.6701
+#> 203:    93.4625   -6.0744   -0.1132    2.2642   -0.9696    3.1854    4.0983    0.4589    0.2596    0.1886    5.7532    1.6655
+#> 204:    93.4984   -6.0853   -0.1138    2.2589   -0.9718    3.2826    4.1667    0.4581    0.2588    0.1851    5.7274    1.6694
+#> 205:    93.5279   -6.1054   -0.1151    2.2562   -0.9742    3.3257    4.2680    0.4569    0.2584    0.1832    5.6976    1.6777
+#> 206:    93.6025   -6.1087   -0.1174    2.2518   -0.9767    3.2399    4.2443    0.4582    0.2589    0.1822    5.6809    1.6775
+#> 207:    93.6382   -6.0990   -0.1204    2.2481   -0.9801    3.2768    4.1473    0.4579    0.2591    0.1823    5.6460    1.6819
+#> 208:    93.6250   -6.0878   -0.1224    2.2438   -0.9812    3.1815    4.0872    0.4579    0.2577    0.1818    5.6256    1.6887
+#> 209:    93.6102   -6.0740   -0.1255    2.2394   -0.9803    3.1716    3.9968    0.4561    0.2573    0.1812    5.6063    1.6886
+#> 210:    93.6005   -6.0571   -0.1277    2.2348   -0.9799    3.2408    3.8923    0.4548    0.2572    0.1798    5.5849    1.6912
+#> 211:    93.6270   -6.0425   -0.1306    2.2292   -0.9807    3.3500    3.8267    0.4538    0.2586    0.1792    5.5578    1.6992
+#> 212:    93.6641   -6.0403   -0.1331    2.2253   -0.9806    3.4487    3.8366    0.4529    0.2596    0.1786    5.5422    1.7022
+#> 213:    93.6743   -6.0344   -0.1354    2.2214   -0.9800    3.5484    3.8260    0.4518    0.2606    0.1781    5.5250    1.7069
+#> 214:    93.6719   -6.0405   -0.1377    2.2179   -0.9804    3.5538    3.8785    0.4506    0.2612    0.1769    5.5148    1.7087
+#> 215:    93.6743   -6.0403   -0.1396    2.2146   -0.9801    3.5578    3.9180    0.4496    0.2615    0.1761    5.5118    1.7094
+#> 216:    93.6666   -6.0436   -0.1413    2.2115   -0.9796    3.5848    3.9484    0.4488    0.2624    0.1755    5.5015    1.7116
+#> 217:    93.6715   -6.0438   -0.1430    2.2086   -0.9794    3.6188    3.9603    0.4478    0.2631    0.1748    5.4884    1.7132
+#> 218:    93.6765   -6.0488   -0.1441    2.2060   -0.9796    3.6126    3.9885    0.4471    0.2632    0.1746    5.4714    1.7156
+#> 219:    93.6714   -6.0557   -0.1453    2.2038   -0.9798    3.6603    4.0118    0.4463    0.2632    0.1735    5.4593    1.7235
+#> 220:    93.6728   -6.0711   -0.1462    2.2027   -0.9794    3.7244    4.0910    0.4457    0.2639    0.1730    5.4531    1.7241
+#> 221:    93.6723   -6.0822   -0.1470    2.2015   -0.9788    3.7754    4.1554    0.4450    0.2647    0.1724    5.4511    1.7247
+#> 222:    93.6789   -6.0745   -0.1480    2.1998   -0.9780    3.8735    4.1186    0.4442    0.2662    0.1718    5.4419    1.7258
+#> 223:    93.6891   -6.0700   -0.1488    2.1984   -0.9778    3.9353    4.0998    0.4434    0.2681    0.1715    5.4375    1.7251
+#> 224:    93.7125   -6.0705   -0.1496    2.1976   -0.9774    4.0220    4.0861    0.4427    0.2697    0.1711    5.4378    1.7230
+#> 225:    93.7332   -6.0695   -0.1502    2.1966   -0.9775    4.0553    4.0669    0.4422    0.2712    0.1711    5.4355    1.7205
+#> 226:    93.7631   -6.0712   -0.1508    2.1951   -0.9779    4.0755    4.0572    0.4417    0.2728    0.1712    5.4347    1.7190
+#> 227:    93.7912   -6.0687   -0.1512    2.1938   -0.9785    4.0621    4.0439    0.4409    0.2742    0.1716    5.4325    1.7189
+#> 228:    93.8077   -6.0644   -0.1517    2.1927   -0.9791    4.0246    4.0190    0.4400    0.2755    0.1722    5.4269    1.7193
+#> 229:    93.8255   -6.0661   -0.1521    2.1909   -0.9796    3.9958    4.0166    0.4392    0.2769    0.1725    5.4214    1.7214
+#> 230:    93.8403   -6.0766   -0.1530    2.1895   -0.9802    4.0152    4.0548    0.4380    0.2788    0.1730    5.4214    1.7232
+#> 231:    93.8549   -6.0768   -0.1541    2.1877   -0.9810    4.0690    4.0542    0.4368    0.2803    0.1734    5.4157    1.7236
+#> 232:    93.8666   -6.0728   -0.1550    2.1858   -0.9816    4.0852    4.0337    0.4356    0.2818    0.1736    5.4136    1.7224
+#> 233:    93.8728   -6.0672   -0.1557    2.1844   -0.9820    4.1001    4.0000    0.4346    0.2828    0.1738    5.4028    1.7243
+#> 234:    93.8862   -6.0646   -0.1563    2.1830   -0.9825    4.1303    3.9850    0.4337    0.2838    0.1737    5.3924    1.7222
+#> 235:    93.8862   -6.0632   -0.1570    2.1819   -0.9827    4.1149    3.9735    0.4329    0.2847    0.1737    5.3846    1.7225
+#> 236:    93.8827   -6.0639   -0.1577    2.1814   -0.9834    4.1004    3.9711    0.4322    0.2852    0.1739    5.3838    1.7220
+#> 237:    93.8729   -6.0680   -0.1582    2.1808   -0.9840    4.0606    3.9866    0.4316    0.2857    0.1741    5.3806    1.7213
+#> 238:    93.8739   -6.0733   -0.1587    2.1806   -0.9845    4.0331    4.0011    0.4311    0.2859    0.1742    5.3775    1.7199
+#> 239:    93.8732   -6.0729   -0.1591    2.1802   -0.9853    3.9850    3.9892    0.4307    0.2859    0.1744    5.3782    1.7216
+#> 240:    93.8760   -6.0754   -0.1595    2.1796   -0.9854    3.9349    3.9867    0.4303    0.2858    0.1747    5.3781    1.7232
+#> 241:    93.8779   -6.0749   -0.1599    2.1791   -0.9853    3.9241    3.9801    0.4299    0.2858    0.1748    5.3757    1.7228
+#> 242:    93.8842   -6.0716   -0.1602    2.1786   -0.9852    3.9394    3.9651    0.4297    0.2859    0.1749    5.3726    1.7224
+#> 243:    93.8884   -6.0719   -0.1606    2.1778   -0.9851    3.9310    3.9741    0.4295    0.2857    0.1750    5.3705    1.7224
+#> 244:    93.8910   -6.0712   -0.1610    2.1771   -0.9850    3.9173    3.9819    0.4294    0.2856    0.1749    5.3700    1.7222
+#> 245:    93.9054   -6.0736   -0.1614    2.1764   -0.9854    3.9106    3.9984    0.4293    0.2856    0.1748    5.3711    1.7217
+#> 246:    93.9209   -6.0753   -0.1617    2.1757   -0.9859    3.9080    4.0071    0.4291    0.2852    0.1746    5.3711    1.7215
+#> 247:    93.9273   -6.0846   -0.1621    2.1752   -0.9861    3.8790    4.0580    0.4286    0.2851    0.1745    5.3755    1.7206
+#> 248:    93.9265   -6.0884   -0.1625    2.1749   -0.9865    3.8613    4.0784    0.4286    0.2848    0.1744    5.3760    1.7198
+#> 249:    93.9286   -6.0926   -0.1627    2.1746   -0.9872    3.8663    4.1008    0.4287    0.2845    0.1745    5.3755    1.7195
+#> 250:    93.9287   -6.0968   -0.1629    2.1744   -0.9878    3.8822    4.1269    0.4289    0.2844    0.1743    5.3755    1.7201
+#> 251:    93.9314   -6.1017   -0.1630    2.1739   -0.9882    3.8878    4.1495    0.4291    0.2843    0.1744    5.3729    1.7200
+#> 252:    93.9351   -6.1036   -0.1632    2.1734   -0.9885    3.8908    4.1545    0.4293    0.2843    0.1746    5.3684    1.7191
+#> 253:    93.9415   -6.1053   -0.1634    2.1729   -0.9889    3.8727    4.1602    0.4294    0.2842    0.1747    5.3650    1.7196
+#> 254:    93.9473   -6.1088   -0.1636    2.1723   -0.9891    3.8657    4.1769    0.4296    0.2843    0.1749    5.3666    1.7190
+#> 255:    93.9505   -6.1087   -0.1639    2.1717   -0.9888    3.8457    4.1720    0.4298    0.2841    0.1749    5.3617    1.7191
+#> 256:    93.9497   -6.1054   -0.1642    2.1715   -0.9885    3.8395    4.1559    0.4299    0.2839    0.1749    5.3598    1.7192
+#> 257:    93.9477   -6.1008   -0.1643    2.1713   -0.9882    3.8383    4.1360    0.4299    0.2836    0.1749    5.3567    1.7196
+#> 258:    93.9402   -6.0998   -0.1645    2.1713   -0.9880    3.8516    4.1288    0.4300    0.2832    0.1749    5.3565    1.7190
+#> 259:    93.9318   -6.0979   -0.1646    2.1711   -0.9879    3.8396    4.1182    0.4301    0.2829    0.1750    5.3583    1.7188
+#> 260:    93.9277   -6.1002   -0.1646    2.1713   -0.9879    3.8173    4.1273    0.4304    0.2826    0.1751    5.3611    1.7186
+#> 261:    93.9251   -6.0973   -0.1646    2.1714   -0.9879    3.8140    4.1105    0.4306    0.2822    0.1750    5.3588    1.7192
+#> 262:    93.9186   -6.1009   -0.1647    2.1715   -0.9880    3.8177    4.1303    0.4308    0.2822    0.1750    5.3604    1.7194
+#> 263:    93.9130   -6.1033   -0.1646    2.1715   -0.9880    3.8029    4.1529    0.4309    0.2822    0.1748    5.3647    1.7188
+#> 264:    93.9040   -6.1077   -0.1645    2.1717   -0.9879    3.7950    4.1820    0.4310    0.2822    0.1747    5.3699    1.7184
+#> 265:    93.9012   -6.1071   -0.1645    2.1714   -0.9879    3.7834    4.1895    0.4310    0.2822    0.1746    5.3755    1.7191
+#> 266:    93.8988   -6.1051   -0.1644    2.1714   -0.9879    3.7788    4.1822    0.4311    0.2822    0.1745    5.3765    1.7203
+#> 267:    93.8964   -6.1059   -0.1643    2.1714   -0.9877    3.7774    4.1896    0.4311    0.2822    0.1744    5.3792    1.7197
+#> 268:    93.8901   -6.1092   -0.1643    2.1715   -0.9876    3.7790    4.2198    0.4310    0.2822    0.1742    5.3811    1.7200
+#> 269:    93.8842   -6.1105   -0.1643    2.1717   -0.9875    3.7620    4.2336    0.4310    0.2823    0.1742    5.3838    1.7193
+#> 270:    93.8760   -6.1125   -0.1643    2.1721   -0.9874    3.7668    4.2483    0.4308    0.2823    0.1741    5.3852    1.7181
+#> 271:    93.8705   -6.1149   -0.1643    2.1722   -0.9873    3.7785    4.2625    0.4306    0.2823    0.1742    5.3853    1.7172
+#> 272:    93.8674   -6.1149   -0.1643    2.1723   -0.9871    3.7829    4.2581    0.4304    0.2823    0.1743    5.3836    1.7162
+#> 273:    93.8644   -6.1159   -0.1642    2.1725   -0.9870    3.7910    4.2631    0.4303    0.2825    0.1743    5.3818    1.7154
+#> 274:    93.8585   -6.1158   -0.1640    2.1728   -0.9869    3.7926    4.2612    0.4302    0.2825    0.1743    5.3816    1.7147
+#> 275:    93.8564   -6.1151   -0.1639    2.1732   -0.9867    3.8053    4.2581    0.4301    0.2826    0.1743    5.3804    1.7143
+#> 276:    93.8564   -6.1132   -0.1638    2.1736   -0.9866    3.7958    4.2486    0.4300    0.2827    0.1745    5.3810    1.7144
+#> 277:    93.8564   -6.1120   -0.1637    2.1741   -0.9867    3.7952    4.2426    0.4298    0.2829    0.1747    5.3808    1.7148
+#> 278:    93.8528   -6.1113   -0.1636    2.1743   -0.9867    3.7922    4.2352    0.4297    0.2832    0.1750    5.3819    1.7144
+#> 279:    93.8503   -6.1124   -0.1636    2.1744   -0.9867    3.7930    4.2390    0.4298    0.2834    0.1753    5.3826    1.7144
+#> 280:    93.8466   -6.1146   -0.1636    2.1743   -0.9867    3.7946    4.2470    0.4299    0.2838    0.1755    5.3832    1.7142
+#> 281:    93.8435   -6.1165   -0.1638    2.1743   -0.9867    3.7994    4.2552    0.4298    0.2840    0.1756    5.3828    1.7140
+#> 282:    93.8421   -6.1162   -0.1639    2.1741   -0.9868    3.7967    4.2496    0.4296    0.2843    0.1758    5.3816    1.7137
+#> 283:    93.8382   -6.1146   -0.1641    2.1740   -0.9866    3.7957    4.2387    0.4294    0.2845    0.1760    5.3796    1.7135
+#> 284:    93.8356   -6.1131   -0.1641    2.1740   -0.9865    3.7904    4.2263    0.4292    0.2848    0.1762    5.3776    1.7127
+#> 285:    93.8349   -6.1113   -0.1642    2.1740   -0.9865    3.7841    4.2129    0.4291    0.2850    0.1765    5.3763    1.7130
+#> 286:    93.8372   -6.1095   -0.1643    2.1741   -0.9864    3.7801    4.2035    0.4289    0.2853    0.1769    5.3779    1.7130
+#> 287:    93.8393   -6.1077   -0.1643    2.1741   -0.9864    3.7804    4.1908    0.4287    0.2857    0.1771    5.3785    1.7132
+#> 288:    93.8395   -6.1071   -0.1644    2.1740   -0.9866    3.7714    4.1834    0.4284    0.2859    0.1772    5.3798    1.7120
+#> 289:    93.8398   -6.1065   -0.1645    2.1738   -0.9865    3.7635    4.1765    0.4282    0.2861    0.1774    5.3821    1.7111
+#> 290:    93.8376   -6.1089   -0.1647    2.1737   -0.9865    3.7495    4.1853    0.4281    0.2863    0.1776    5.3852    1.7106
+#> 291:    93.8341   -6.1091   -0.1647    2.1738   -0.9863    3.7340    4.1854    0.4278    0.2865    0.1776    5.3868    1.7098
+#> 292:    93.8329   -6.1080   -0.1647    2.1741   -0.9863    3.7189    4.1760    0.4275    0.2868    0.1777    5.3885    1.7091
+#> 293:    93.8312   -6.1065   -0.1647    2.1743   -0.9862    3.7091    4.1651    0.4272    0.2871    0.1778    5.3896    1.7086
+#> 294:    93.8310   -6.1042   -0.1647    2.1745   -0.9861    3.6946    4.1521    0.4269    0.2874    0.1780    5.3908    1.7077
+#> 295:    93.8299   -6.1033   -0.1648    2.1747   -0.9861    3.6968    4.1433    0.4265    0.2880    0.1781    5.3904    1.7066
+#> 296:    93.8276   -6.1027   -0.1648    2.1749   -0.9862    3.7072    4.1361    0.4261    0.2885    0.1782    5.3910    1.7056
+#> 297:    93.8212   -6.1015   -0.1647    2.1750   -0.9859    3.7253    4.1278    0.4256    0.2891    0.1783    5.3927    1.7051
+#> 298:    93.8173   -6.0980   -0.1647    2.1751   -0.9858    3.7552    4.1115    0.4251    0.2897    0.1784    5.3932    1.7045
+#> 299:    93.8168   -6.0984   -0.1646    2.1754   -0.9856    3.7687    4.1143    0.4246    0.2902    0.1786    5.3949    1.7037
+#> 300:    93.8154   -6.0967   -0.1646    2.1756   -0.9855    3.7888    4.1072    0.4241    0.2906    0.1788    5.3962    1.7030
+#> 301:    93.8129   -6.0946   -0.1646    2.1757   -0.9852    3.8097    4.1006    0.4236    0.2911    0.1791    5.3971    1.7026
+#> 302:    93.8120   -6.0932   -0.1646    2.1759   -0.9849    3.8403    4.0955    0.4231    0.2917    0.1792    5.3971    1.7021
+#> 303:    93.8115   -6.0942   -0.1646    2.1762   -0.9850    3.8602    4.1004    0.4227    0.2922    0.1795    5.3976    1.7020
+#> 304:    93.8106   -6.0979   -0.1645    2.1765   -0.9850    3.8898    4.1217    0.4222    0.2926    0.1798    5.3975    1.7024
+#> 305:    93.8091   -6.1009   -0.1644    2.1767   -0.9851    3.9165    4.1374    0.4218    0.2931    0.1801    5.3989    1.7024
+#> 306:    93.8090   -6.1043   -0.1644    2.1770   -0.9850    3.9485    4.1617    0.4214    0.2936    0.1803    5.3998    1.7021
+#> 307:    93.8082   -6.1063   -0.1644    2.1772   -0.9850    3.9730    4.1797    0.4210    0.2940    0.1803    5.3998    1.7017
+#> 308:    93.8093   -6.1090   -0.1644    2.1775   -0.9850    3.9874    4.2026    0.4205    0.2945    0.1804    5.3996    1.7006
+#> 309:    93.8092   -6.1122   -0.1643    2.1777   -0.9849    3.9948    4.2297    0.4201    0.2948    0.1804    5.4001    1.6998
+#> 310:    93.8080   -6.1142   -0.1642    2.1780   -0.9850    3.9976    4.2436    0.4197    0.2951    0.1803    5.4016    1.6989
+#> 311:    93.8094   -6.1164   -0.1641    2.1784   -0.9851    4.0015    4.2552    0.4194    0.2952    0.1803    5.4033    1.6978
+#> 312:    93.8107   -6.1184   -0.1640    2.1788   -0.9851    4.0006    4.2628    0.4190    0.2954    0.1802    5.4042    1.6972
+#> 313:    93.8118   -6.1190   -0.1640    2.1789   -0.9851    3.9991    4.2638    0.4186    0.2955    0.1802    5.4053    1.6967
+#> 314:    93.8139   -6.1188   -0.1639    2.1791   -0.9851    4.0019    4.2619    0.4183    0.2956    0.1802    5.4049    1.6966
+#> 315:    93.8152   -6.1173   -0.1639    2.1792   -0.9851    4.0111    4.2553    0.4179    0.2957    0.1802    5.4052    1.6966
+#> 316:    93.8178   -6.1158   -0.1639    2.1792   -0.9851    4.0073    4.2498    0.4175    0.2957    0.1802    5.4050    1.6966
+#> 317:    93.8205   -6.1155   -0.1639    2.1792   -0.9851    3.9999    4.2491    0.4172    0.2957    0.1802    5.4048    1.6963
+#> 318:    93.8216   -6.1145   -0.1639    2.1792   -0.9850    3.9961    4.2438    0.4168    0.2957    0.1802    5.4031    1.6961
+#> 319:    93.8241   -6.1143   -0.1639    2.1792   -0.9849    4.0009    4.2412    0.4164    0.2958    0.1801    5.4004    1.6956
+#> 320:    93.8257   -6.1142   -0.1639    2.1792   -0.9849    4.0018    4.2380    0.4160    0.2958    0.1801    5.3986    1.6952
+#> 321:    93.8280   -6.1134   -0.1639    2.1792   -0.9849    4.0055    4.2339    0.4156    0.2959    0.1802    5.3966    1.6950
+#> 322:    93.8299   -6.1122   -0.1639    2.1793   -0.9848    4.0075    4.2274    0.4152    0.2959    0.1802    5.3969    1.6948
+#> 323:    93.8318   -6.1123   -0.1639    2.1794   -0.9848    4.0087    4.2257    0.4149    0.2960    0.1802    5.3980    1.6941
+#> 324:    93.8352   -6.1098   -0.1639    2.1795   -0.9848    4.0123    4.2136    0.4145    0.2960    0.1802    5.3988    1.6936
+#> 325:    93.8374   -6.1072   -0.1638    2.1796   -0.9848    4.0230    4.2005    0.4142    0.2961    0.1802    5.3991    1.6933
+#> 326:    93.8410   -6.1050   -0.1637    2.1796   -0.9849    4.0327    4.1891    0.4139    0.2963    0.1802    5.4004    1.6927
+#> 327:    93.8457   -6.1023   -0.1637    2.1796   -0.9849    4.0327    4.1767    0.4135    0.2964    0.1802    5.4013    1.6922
+#> 328:    93.8493   -6.1017   -0.1637    2.1797   -0.9850    4.0440    4.1730    0.4131    0.2964    0.1802    5.4019    1.6915
+#> 329:    93.8515   -6.1001   -0.1637    2.1799   -0.9851    4.0556    4.1648    0.4128    0.2963    0.1803    5.4017    1.6912
+#> 330:    93.8541   -6.1001   -0.1636    2.1800   -0.9852    4.0606    4.1631    0.4124    0.2962    0.1804    5.4025    1.6912
+#> 331:    93.8539   -6.0994   -0.1635    2.1801   -0.9854    4.0654    4.1584    0.4120    0.2961    0.1805    5.4025    1.6907
+#> 332:    93.8536   -6.0999   -0.1634    2.1803   -0.9854    4.0696    4.1601    0.4116    0.2960    0.1808    5.4027    1.6904
+#> 333:    93.8531   -6.1002   -0.1633    2.1806   -0.9853    4.0682    4.1646    0.4112    0.2960    0.1810    5.4038    1.6893
+#> 334:    93.8543   -6.1005   -0.1632    2.1809   -0.9852    4.0771    4.1690    0.4108    0.2960    0.1812    5.4040    1.6883
+#> 335:    93.8552   -6.1010   -0.1631    2.1813   -0.9851    4.0888    4.1775    0.4104    0.2960    0.1813    5.4044    1.6878
+#> 336:    93.8555   -6.1016   -0.1630    2.1817   -0.9850    4.0969    4.1858    0.4099    0.2961    0.1814    5.4046    1.6873
+#> 337:    93.8553   -6.1025   -0.1628    2.1820   -0.9849    4.1152    4.1921    0.4094    0.2962    0.1815    5.4070    1.6863
+#> 338:    93.8553   -6.1018   -0.1626    2.1824   -0.9848    4.1314    4.1904    0.4090    0.2963    0.1816    5.4080    1.6852
+#> 339:    93.8567   -6.1004   -0.1625    2.1828   -0.9847    4.1449    4.1855    0.4087    0.2964    0.1817    5.4087    1.6841
+#> 340:    93.8582   -6.0987   -0.1623    2.1832   -0.9846    4.1603    4.1799    0.4083    0.2965    0.1819    5.4086    1.6832
+#> 341:    93.8589   -6.0962   -0.1620    2.1836   -0.9844    4.1692    4.1694    0.4079    0.2965    0.1820    5.4102    1.6828
+#> 342:    93.8583   -6.0932   -0.1618    2.1841   -0.9844    4.1729    4.1563    0.4075    0.2966    0.1821    5.4117    1.6821
+#> 343:    93.8590   -6.0906   -0.1615    2.1845   -0.9844    4.1840    4.1447    0.4071    0.2966    0.1822    5.4125    1.6819
+#> 344:    93.8582   -6.0890   -0.1613    2.1851   -0.9845    4.1860    4.1347    0.4068    0.2968    0.1826    5.4135    1.6814
+#> 345:    93.8576   -6.0876   -0.1610    2.1857   -0.9846    4.1889    4.1252    0.4064    0.2969    0.1829    5.4143    1.6810
+#> 346:    93.8549   -6.0853   -0.1608    2.1862   -0.9845    4.1925    4.1121    0.4061    0.2969    0.1832    5.4157    1.6803
+#> 347:    93.8540   -6.0829   -0.1605    2.1867   -0.9845    4.2031    4.0990    0.4058    0.2970    0.1834    5.4158    1.6803
+#> 348:    93.8516   -6.0814   -0.1602    2.1873   -0.9845    4.2169    4.0885    0.4055    0.2971    0.1836    5.4174    1.6801
+#> 349:    93.8505   -6.0797   -0.1600    2.1879   -0.9845    4.2253    4.0779    0.4052    0.2971    0.1837    5.4190    1.6799
+#> 350:    93.8512   -6.0773   -0.1597    2.1885   -0.9845    4.2268    4.0657    0.4049    0.2972    0.1839    5.4209    1.6797
+#> 351:    93.8507   -6.0754   -0.1595    2.1890   -0.9845    4.2245    4.0559    0.4046    0.2972    0.1840    5.4230    1.6794
+#> 352:    93.8490   -6.0736   -0.1592    2.1896   -0.9845    4.2296    4.0474    0.4044    0.2973    0.1841    5.4252    1.6790
+#> 353:    93.8460   -6.0718   -0.1589    2.1901   -0.9845    4.2356    4.0374    0.4042    0.2973    0.1843    5.4272    1.6790
+#> 354:    93.8437   -6.0695   -0.1586    2.1906   -0.9845    4.2408    4.0255    0.4041    0.2973    0.1844    5.4303    1.6787
+#> 355:    93.8420   -6.0679   -0.1584    2.1912   -0.9844    4.2428    4.0166    0.4040    0.2973    0.1845    5.4342    1.6785
+#> 356:    93.8413   -6.0666   -0.1581    2.1916   -0.9843    4.2418    4.0072    0.4040    0.2973    0.1845    5.4348    1.6792
+#> 357:    93.8406   -6.0650   -0.1578    2.1921   -0.9844    4.2531    3.9973    0.4040    0.2973    0.1846    5.4350    1.6798
+#> 358:    93.8404   -6.0639   -0.1575    2.1926   -0.9844    4.2596    3.9901    0.4040    0.2973    0.1846    5.4357    1.6805
+#> 359:    93.8373   -6.0630   -0.1572    2.1931   -0.9845    4.2724    3.9820    0.4039    0.2973    0.1848    5.4368    1.6816
+#> 360:    93.8347   -6.0622   -0.1569    2.1936   -0.9845    4.2788    3.9747    0.4039    0.2973    0.1849    5.4377    1.6824
+#> 361:    93.8327   -6.0626   -0.1566    2.1942   -0.9846    4.2919    3.9749    0.4038    0.2973    0.1850    5.4382    1.6831
+#> 362:    93.8326   -6.0629   -0.1562    2.1947   -0.9846    4.2989    3.9737    0.4038    0.2973    0.1850    5.4408    1.6838
+#> 363:    93.8316   -6.0629   -0.1559    2.1953   -0.9846    4.3007    3.9725    0.4037    0.2972    0.1850    5.4420    1.6842
+#> 364:    93.8317   -6.0629   -0.1556    2.1957   -0.9846    4.2910    3.9739    0.4038    0.2971    0.1850    5.4430    1.6840
+#> 365:    93.8317   -6.0629   -0.1553    2.1962   -0.9846    4.2878    3.9759    0.4040    0.2967    0.1849    5.4441    1.6839
+#> 366:    93.8319   -6.0633   -0.1549    2.1966   -0.9845    4.2870    3.9823    0.4042    0.2963    0.1849    5.4461    1.6839
+#> 367:    93.8320   -6.0636   -0.1546    2.1971   -0.9845    4.2828    3.9850    0.4042    0.2959    0.1849    5.4479    1.6843
+#> 368:    93.8312   -6.0635   -0.1544    2.1975   -0.9844    4.2781    3.9859    0.4043    0.2955    0.1849    5.4475    1.6841
+#> 369:    93.8301   -6.0640   -0.1541    2.1979   -0.9844    4.2760    3.9891    0.4043    0.2953    0.1850    5.4472    1.6835
+#> 370:    93.8306   -6.0651   -0.1539    2.1983   -0.9844    4.2690    3.9967    0.4042    0.2950    0.1850    5.4484    1.6829
+#> 371:    93.8312   -6.0669   -0.1536    2.1988   -0.9845    4.2613    4.0111    0.4042    0.2947    0.1851    5.4494    1.6822
+#> 372:    93.8312   -6.0681   -0.1533    2.1992   -0.9845    4.2585    4.0252    0.4042    0.2945    0.1852    5.4513    1.6817
+#> 373:    93.8307   -6.0681   -0.1531    2.1996   -0.9846    4.2605    4.0284    0.4042    0.2943    0.1853    5.4523    1.6815
+#> 374:    93.8305   -6.0678   -0.1529    2.1999   -0.9846    4.2676    4.0279    0.4040    0.2942    0.1853    5.4533    1.6816
+#> 375:    93.8313   -6.0673   -0.1528    2.2002   -0.9846    4.2708    4.0232    0.4038    0.2940    0.1854    5.4543    1.6813
+#> 376:    93.8310   -6.0672   -0.1527    2.2004   -0.9846    4.2775    4.0214    0.4037    0.2938    0.1855    5.4538    1.6809
+#> 377:    93.8298   -6.0666   -0.1526    2.2007   -0.9846    4.2787    4.0166    0.4035    0.2937    0.1856    5.4532    1.6806
+#> 378:    93.8276   -6.0664   -0.1525    2.2009   -0.9846    4.2781    4.0135    0.4033    0.2935    0.1857    5.4538    1.6801
+#> 379:    93.8262   -6.0671   -0.1524    2.2012   -0.9846    4.2800    4.0157    0.4031    0.2932    0.1857    5.4530    1.6803
+#> 380:    93.8243   -6.0675   -0.1523    2.2015   -0.9846    4.2735    4.0168    0.4029    0.2929    0.1857    5.4523    1.6803
+#> 381:    93.8233   -6.0677   -0.1522    2.2017   -0.9845    4.2670    4.0189    0.4027    0.2926    0.1858    5.4517    1.6798
+#> 382:    93.8229   -6.0674   -0.1521    2.2019   -0.9845    4.2655    4.0211    0.4025    0.2924    0.1858    5.4510    1.6794
+#> 383:    93.8196   -6.0681   -0.1521    2.2021   -0.9843    4.2696    4.0291    0.4023    0.2922    0.1859    5.4504    1.6788
+#> 384:    93.8174   -6.0688   -0.1520    2.2023   -0.9842    4.2851    4.0333    0.4021    0.2919    0.1860    5.4500    1.6783
+#> 385:    93.8156   -6.0682   -0.1518    2.2028   -0.9840    4.3056    4.0305    0.4019    0.2920    0.1862    5.4503    1.6774
+#> 386:    93.8145   -6.0684   -0.1516    2.2032   -0.9838    4.3195    4.0302    0.4016    0.2920    0.1863    5.4499    1.6765
+#> 387:    93.8121   -6.0679   -0.1514    2.2036   -0.9837    4.3290    4.0272    0.4014    0.2920    0.1864    5.4501    1.6756
+#> 388:    93.8105   -6.0676   -0.1513    2.2040   -0.9835    4.3393    4.0267    0.4011    0.2920    0.1865    5.4509    1.6751
+#> 389:    93.8089   -6.0664   -0.1510    2.2045   -0.9833    4.3458    4.0224    0.4009    0.2920    0.1865    5.4512    1.6746
+#> 390:    93.8080   -6.0658   -0.1508    2.2049   -0.9832    4.3422    4.0199    0.4007    0.2920    0.1866    5.4514    1.6744
+#> 391:    93.8077   -6.0669   -0.1507    2.2053   -0.9831    4.3500    4.0277    0.4007    0.2920    0.1867    5.4511    1.6740
+#> 392:    93.8069   -6.0676   -0.1505    2.2056   -0.9831    4.3525    4.0326    0.4006    0.2920    0.1868    5.4500    1.6733
+#> 393:    93.8072   -6.0678   -0.1504    2.2059   -0.9830    4.3562    4.0344    0.4005    0.2920    0.1868    5.4491    1.6725
+#> 394:    93.8083   -6.0684   -0.1503    2.2061   -0.9829    4.3577    4.0386    0.4004    0.2920    0.1869    5.4493    1.6716
+#> 395:    93.8086   -6.0685   -0.1501    2.2064   -0.9828    4.3574    4.0394    0.4003    0.2920    0.1869    5.4493    1.6709
+#> 396:    93.8078   -6.0677   -0.1500    2.2067   -0.9827    4.3591    4.0355    0.4002    0.2921    0.1870    5.4493    1.6707
+#> 397:    93.8064   -6.0668   -0.1499    2.2071   -0.9825    4.3621    4.0317    0.4000    0.2922    0.1871    5.4495    1.6704
+#> 398:    93.8058   -6.0661   -0.1499    2.2073   -0.9823    4.3701    4.0285    0.3999    0.2923    0.1872    5.4491    1.6699
+#> 399:    93.8057   -6.0651   -0.1498    2.2075   -0.9822    4.3803    4.0243    0.3997    0.2924    0.1872    5.4485    1.6699
+#> 400:    93.8057   -6.0647   -0.1498    2.2076   -0.9820    4.3854    4.0225    0.3996    0.2924    0.1872    5.4488    1.6699
+#> 401:    93.8059   -6.0635   -0.1498    2.2078   -0.9819    4.3939    4.0178    0.3995    0.2925    0.1873    5.4491    1.6702
+#> 402:    93.8063   -6.0621   -0.1498    2.2079   -0.9818    4.4033    4.0120    0.3993    0.2926    0.1875    5.4492    1.6704
+#> 403:    93.8055   -6.0609   -0.1498    2.2080   -0.9816    4.4098    4.0069    0.3992    0.2926    0.1876    5.4494    1.6703
+#> 404:    93.8040   -6.0608   -0.1499    2.2081   -0.9815    4.4153    4.0050    0.3991    0.2927    0.1877    5.4494    1.6701
+#> 405:    93.8030   -6.0604   -0.1499    2.2082   -0.9814    4.4181    4.0047    0.3990    0.2928    0.1879    5.4491    1.6700
+#> 406:    93.8002   -6.0597   -0.1499    2.2083   -0.9812    4.4257    4.0025    0.3989    0.2928    0.1880    5.4498    1.6702
+#> 407:    93.7969   -6.0593   -0.1500    2.2085   -0.9810    4.4343    3.9994    0.3988    0.2928    0.1881    5.4514    1.6703
+#> 408:    93.7947   -6.0582   -0.1499    2.2087   -0.9809    4.4509    3.9936    0.3987    0.2927    0.1882    5.4526    1.6704
+#> 409:    93.7929   -6.0579   -0.1499    2.2088   -0.9807    4.4584    3.9918    0.3987    0.2926    0.1882    5.4537    1.6707
+#> 410:    93.7896   -6.0593   -0.1499    2.2089   -0.9807    4.4664    4.0002    0.3987    0.2925    0.1883    5.4560    1.6705
+#> 411:    93.7875   -6.0601   -0.1499    2.2090   -0.9807    4.4626    4.0057    0.3987    0.2924    0.1883    5.4567    1.6705
+#> 412:    93.7862   -6.0602   -0.1499    2.2091   -0.9808    4.4574    4.0095    0.3986    0.2923    0.1884    5.4565    1.6706
+#> 413:    93.7858   -6.0606   -0.1498    2.2092   -0.9808    4.4527    4.0146    0.3986    0.2922    0.1885    5.4561    1.6708
+#> 414:    93.7859   -6.0615   -0.1498    2.2093   -0.9808    4.4451    4.0211    0.3987    0.2921    0.1885    5.4574    1.6708
+#> 415:    93.7864   -6.0629   -0.1498    2.2092   -0.9808    4.4443    4.0298    0.3986    0.2921    0.1885    5.4576    1.6707
+#> 416:    93.7851   -6.0639   -0.1498    2.2092   -0.9808    4.4462    4.0362    0.3985    0.2920    0.1884    5.4575    1.6706
+#> 417:    93.7820   -6.0644   -0.1499    2.2092   -0.9808    4.4425    4.0387    0.3985    0.2920    0.1884    5.4577    1.6703
+#> 418:    93.7801   -6.0652   -0.1499    2.2093   -0.9808    4.4365    4.0420    0.3985    0.2920    0.1883    5.4589    1.6702
+#> 419:    93.7799   -6.0648   -0.1499    2.2094   -0.9807    4.4303    4.0418    0.3984    0.2921    0.1883    5.4596    1.6703
+#> 420:    93.7797   -6.0641   -0.1498    2.2095   -0.9807    4.4216    4.0383    0.3983    0.2921    0.1884    5.4607    1.6702
+#> 421:    93.7803   -6.0641   -0.1498    2.2096   -0.9808    4.4120    4.0396    0.3983    0.2922    0.1885    5.4621    1.6702
+#> 422:    93.7806   -6.0638   -0.1498    2.2097   -0.9809    4.4017    4.0373    0.3981    0.2923    0.1885    5.4635    1.6702
+#> 423:    93.7800   -6.0636   -0.1498    2.2098   -0.9810    4.3948    4.0339    0.3981    0.2923    0.1885    5.4640    1.6701
+#> 424:    93.7789   -6.0638   -0.1498    2.2099   -0.9810    4.3884    4.0336    0.3980    0.2924    0.1885    5.4651    1.6700
+#> 425:    93.7774   -6.0628   -0.1498    2.2101   -0.9810    4.3814    4.0271    0.3978    0.2925    0.1884    5.4666    1.6699
+#> 426:    93.7755   -6.0619   -0.1498    2.2102   -0.9811    4.3841    4.0221    0.3977    0.2925    0.1884    5.4693    1.6697
+#> 427:    93.7753   -6.0612   -0.1498    2.2103   -0.9810    4.3785    4.0167    0.3975    0.2926    0.1883    5.4712    1.6696
+#> 428:    93.7741   -6.0613   -0.1498    2.2104   -0.9810    4.3767    4.0161    0.3973    0.2926    0.1882    5.4729    1.6696
+#> 429:    93.7717   -6.0613   -0.1498    2.2105   -0.9810    4.3744    4.0158    0.3971    0.2926    0.1880    5.4743    1.6694
+#> 430:    93.7690   -6.0619   -0.1498    2.2106   -0.9809    4.3744    4.0189    0.3969    0.2926    0.1879    5.4753    1.6692
+#> 431:    93.7668   -6.0615   -0.1498    2.2107   -0.9809    4.3709    4.0174    0.3967    0.2925    0.1878    5.4762    1.6691
+#> 432:    93.7656   -6.0619   -0.1498    2.2108   -0.9809    4.3710    4.0173    0.3966    0.2926    0.1878    5.4770    1.6688
+#> 433:    93.7632   -6.0625   -0.1498    2.2108   -0.9809    4.3689    4.0204    0.3964    0.2926    0.1877    5.4774    1.6687
+#> 434:    93.7624   -6.0621   -0.1498    2.2109   -0.9808    4.3687    4.0178    0.3962    0.2926    0.1876    5.4774    1.6683
+#> 435:    93.7608   -6.0622   -0.1497    2.2111   -0.9808    4.3714    4.0182    0.3961    0.2927    0.1875    5.4777    1.6679
+#> 436:    93.7586   -6.0622   -0.1498    2.2112   -0.9808    4.3695    4.0178    0.3959    0.2928    0.1874    5.4784    1.6679
+#> 437:    93.7558   -6.0622   -0.1498    2.2114   -0.9809    4.3658    4.0167    0.3957    0.2928    0.1873    5.4795    1.6678
+#> 438:    93.7519   -6.0627   -0.1499    2.2115   -0.9808    4.3601    4.0183    0.3955    0.2928    0.1872    5.4807    1.6674
+#> 439:    93.7478   -6.0618   -0.1499    2.2115   -0.9807    4.3538    4.0133    0.3952    0.2928    0.1871    5.4814    1.6672
+#> 440:    93.7449   -6.0612   -0.1499    2.2117   -0.9805    4.3504    4.0103    0.3951    0.2928    0.1870    5.4820    1.6669
+#> 441:    93.7433   -6.0608   -0.1499    2.2117   -0.9805    4.3438    4.0077    0.3949    0.2928    0.1869    5.4818    1.6666
+#> 442:    93.7417   -6.0604   -0.1500    2.2118   -0.9805    4.3354    4.0058    0.3947    0.2927    0.1868    5.4824    1.6666
+#> 443:    93.7407   -6.0604   -0.1500    2.2119   -0.9805    4.3281    4.0046    0.3946    0.2927    0.1867    5.4832    1.6667
+#> 444:    93.7397   -6.0608   -0.1500    2.2118   -0.9805    4.3180    4.0069    0.3944    0.2928    0.1866    5.4857    1.6664
+#> 445:    93.7387   -6.0613   -0.1501    2.2118   -0.9805    4.3092    4.0085    0.3942    0.2929    0.1866    5.4866    1.6663
+#> 446:    93.7376   -6.0612   -0.1502    2.2117   -0.9805    4.3022    4.0075    0.3939    0.2930    0.1865    5.4866    1.6660
+#> 447:    93.7375   -6.0613   -0.1503    2.2116   -0.9806    4.2981    4.0076    0.3937    0.2931    0.1865    5.4863    1.6658
+#> 448:    93.7388   -6.0617   -0.1504    2.2115   -0.9806    4.2970    4.0087    0.3935    0.2932    0.1864    5.4870    1.6658
+#> 449:    93.7400   -6.0617   -0.1504    2.2115   -0.9807    4.2904    4.0069    0.3933    0.2933    0.1864    5.4880    1.6655
+#> 450:    93.7414   -6.0623   -0.1505    2.2113   -0.9808    4.2829    4.0095    0.3930    0.2935    0.1863    5.4880    1.6653
+#> 451:    93.7426   -6.0634   -0.1506    2.2112   -0.9808    4.2797    4.0146    0.3928    0.2936    0.1863    5.4877    1.6655
+#> 452:    93.7447   -6.0642   -0.1507    2.2110   -0.9809    4.2770    4.0171    0.3926    0.2938    0.1862    5.4876    1.6657
+#> 453:    93.7465   -6.0644   -0.1508    2.2108   -0.9810    4.2698    4.0184    0.3924    0.2940    0.1862    5.4877    1.6652
+#> 454:    93.7478   -6.0645   -0.1509    2.2106   -0.9810    4.2657    4.0182    0.3922    0.2941    0.1861    5.4874    1.6648
+#> 455:    93.7486   -6.0650   -0.1511    2.2104   -0.9811    4.2656    4.0203    0.3921    0.2943    0.1861    5.4871    1.6644
+#> 456:    93.7485   -6.0659   -0.1512    2.2102   -0.9812    4.2646    4.0240    0.3920    0.2945    0.1860    5.4869    1.6641
+#> 457:    93.7487   -6.0668   -0.1514    2.2099   -0.9813    4.2613    4.0277    0.3919    0.2946    0.1860    5.4866    1.6640
+#> 458:    93.7484   -6.0667   -0.1515    2.2097   -0.9812    4.2586    4.0263    0.3918    0.2947    0.1859    5.4854    1.6639
+#> 459:    93.7468   -6.0661   -0.1517    2.2095   -0.9812    4.2565    4.0225    0.3917    0.2948    0.1858    5.4853    1.6639
+#> 460:    93.7458   -6.0652   -0.1518    2.2093   -0.9812    4.2548    4.0171    0.3916    0.2950    0.1858    5.4843    1.6638
+#> 461:    93.7435   -6.0645   -0.1519    2.2091   -0.9811    4.2554    4.0121    0.3914    0.2951    0.1858    5.4843    1.6637
+#> 462:    93.7421   -6.0637   -0.1521    2.2089   -0.9811    4.2509    4.0079    0.3913    0.2953    0.1857    5.4840    1.6638
+#> 463:    93.7406   -6.0630   -0.1522    2.2088   -0.9810    4.2534    4.0036    0.3912    0.2955    0.1857    5.4834    1.6640
+#> 464:    93.7406   -6.0622   -0.1524    2.2086   -0.9810    4.2548    3.9986    0.3911    0.2956    0.1857    5.4828    1.6639
+#> 465:    93.7404   -6.0617   -0.1525    2.2084   -0.9810    4.2511    3.9955    0.3910    0.2958    0.1857    5.4828    1.6638
+#> 466:    93.7414   -6.0610   -0.1527    2.2080   -0.9809    4.2468    3.9918    0.3910    0.2959    0.1857    5.4812    1.6640
+#> 467:    93.7419   -6.0606   -0.1529    2.2077   -0.9810    4.2446    3.9885    0.3909    0.2960    0.1858    5.4799    1.6642
+#> 468:    93.7427   -6.0604   -0.1531    2.2074   -0.9809    4.2473    3.9872    0.3909    0.2961    0.1858    5.4790    1.6643
+#> 469:    93.7435   -6.0608   -0.1532    2.2073   -0.9810    4.2457    3.9891    0.3907    0.2963    0.1858    5.4789    1.6641
+#> 470:    93.7442   -6.0611   -0.1533    2.2071   -0.9811    4.2443    3.9895    0.3905    0.2965    0.1858    5.4785    1.6640
+#> 471:    93.7443   -6.0618   -0.1534    2.2070   -0.9812    4.2415    3.9932    0.3903    0.2967    0.1858    5.4773    1.6639
+#> 472:    93.7433   -6.0624   -0.1535    2.2069   -0.9812    4.2414    3.9958    0.3901    0.2969    0.1858    5.4765    1.6637
+#> 473:    93.7421   -6.0621   -0.1536    2.2067   -0.9811    4.2330    3.9962    0.3899    0.2970    0.1858    5.4762    1.6637
+#> 474:    93.7415   -6.0621   -0.1537    2.2066   -0.9812    4.2263    3.9968    0.3897    0.2972    0.1858    5.4755    1.6638
+#> 475:    93.7396   -6.0621   -0.1538    2.2066   -0.9812    4.2261    3.9956    0.3895    0.2973    0.1859    5.4751    1.6637
+#> 476:    93.7373   -6.0626   -0.1539    2.2065   -0.9811    4.2265    3.9976    0.3893    0.2975    0.1859    5.4743    1.6634
+#> 477:    93.7357   -6.0623   -0.1540    2.2063   -0.9811    4.2222    3.9953    0.3891    0.2976    0.1859    5.4741    1.6635
+#> 478:    93.7345   -6.0620   -0.1541    2.2062   -0.9811    4.2165    3.9939    0.3889    0.2978    0.1860    5.4745    1.6638
+#> 479:    93.7341   -6.0615   -0.1542    2.2062   -0.9812    4.2122    3.9916    0.3887    0.2979    0.1860    5.4751    1.6637
+#> 480:    93.7338   -6.0619   -0.1543    2.2061   -0.9812    4.2084    3.9932    0.3885    0.2980    0.1860    5.4753    1.6635
+#> 481:    93.7336   -6.0618   -0.1544    2.2060   -0.9812    4.2066    3.9945    0.3883    0.2981    0.1860    5.4748    1.6637
+#> 482:    93.7340   -6.0622   -0.1545    2.2058   -0.9812    4.2069    3.9969    0.3882    0.2983    0.1860    5.4741    1.6636
+#> 483:    93.7328   -6.0627   -0.1547    2.2057   -0.9813    4.2062    3.9992    0.3879    0.2985    0.1861    5.4739    1.6636
+#> 484:    93.7323   -6.0629   -0.1547    2.2056   -0.9813    4.2075    3.9995    0.3877    0.2987    0.1861    5.4730    1.6638
+#> 485:    93.7326   -6.0634   -0.1548    2.2055   -0.9814    4.2045    4.0013    0.3875    0.2989    0.1862    5.4727    1.6637
+#> 486:    93.7320   -6.0632   -0.1549    2.2055   -0.9814    4.2084    3.9989    0.3872    0.2991    0.1863    5.4718    1.6635
+#> 487:    93.7321   -6.0625   -0.1549    2.2054   -0.9814    4.2105    3.9949    0.3870    0.2993    0.1864    5.4712    1.6634
+#> 488:    93.7326   -6.0623   -0.1550    2.2054   -0.9814    4.2104    3.9935    0.3868    0.2996    0.1865    5.4721    1.6635
+#> 489:    93.7342   -6.0615   -0.1551    2.2054   -0.9815    4.2103    3.9893    0.3866    0.2998    0.1866    5.4725    1.6635
+#> 490:    93.7360   -6.0610   -0.1551    2.2053   -0.9815    4.2116    3.9857    0.3864    0.3001    0.1867    5.4730    1.6636
+#> 491:    93.7374   -6.0601   -0.1551    2.2052   -0.9815    4.2128    3.9804    0.3862    0.3003    0.1868    5.4722    1.6638
+#> 492:    93.7386   -6.0597   -0.1552    2.2050   -0.9816    4.2171    3.9774    0.3861    0.3006    0.1869    5.4714    1.6642
+#> 493:    93.7399   -6.0597   -0.1553    2.2049   -0.9816    4.2262    3.9766    0.3859    0.3008    0.1869    5.4712    1.6643
+#> 494:    93.7404   -6.0596   -0.1553    2.2047   -0.9816    4.2347    3.9746    0.3857    0.3011    0.1870    5.4711    1.6646
+#> 495:    93.7406   -6.0590   -0.1554    2.2046   -0.9817    4.2395    3.9711    0.3855    0.3014    0.1871    5.4705    1.6650
+#> 496:    93.7416   -6.0582   -0.1554    2.2045   -0.9817    4.2456    3.9660    0.3853    0.3017    0.1871    5.4707    1.6656
+#> 497:    93.7433   -6.0575   -0.1555    2.2044   -0.9818    4.2511    3.9631    0.3851    0.3020    0.1871    5.4714    1.6658
+#> 498:    93.7444   -6.0574   -0.1556    2.2042   -0.9817    4.2516    3.9632    0.3848    0.3023    0.1871    5.4721    1.6660
+#> 499:    93.7457   -6.0576   -0.1557    2.2041   -0.9817    4.2518    3.9660    0.3846    0.3025    0.1871    5.4728    1.6660
+#> 500:    93.7469   -6.0586   -0.1557    2.2040   -0.9817    4.2481    3.9757    0.3844    0.3028    0.1871    5.4738    1.6661
+#> Calculating covariance matrix
+#> 
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> Needed Covariates:
+#> [1] "CMT"
+#> Calculating residuals/tables
+#> done
+f_nlmixr_fomc_sfo_focei_obs <- nlmixr(f_mmkin_obs["FOMC-SFO", ], est = "focei")
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → calculate jacobian
+#> 
+#> → calculate sensitivities
+#> 
+#> → calculate ∂(f)/∂(η)
+#> 
+#> → calculate ∂(R²)/∂(η)
+#> 
+#> → finding duplicate expressions in inner model...
+#> 
+#> → optimizing duplicate expressions in inner model...
+#> 
+#> → finding duplicate expressions in EBE model...
+#> 
+#> → optimizing duplicate expressions in EBE model...
+#> 
+#> → compiling inner model...
+#>  
+#> ✔ done
+#> → finding duplicate expressions in FD model...
+#> 
+#> → optimizing duplicate expressions in FD model...
+#> 
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> → compiling events FD model...
+#>  
+#> ✔ done
+#> Needed Covariates:
+#> [1] "CMT"
+#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
+#> F: Forward difference gradient approximation
+#> C: Central difference gradient approximation
+#> M: Mixed forward and central difference gradient approximation
+#> Unscaled parameters for Omegas=chol(solve(omega));
+#> Diagonals are transformed, as specified by foceiControl(diagXform=)
+#> |-----+---------------+-----------+-----------+-----------+-----------|
+#> |    #| Objective Fun |  parent_0 |  log_k_A1 |f_parent_qlogis | log_alpha |
+#> |.....................|  log_beta |sigma_parent |  sigma_A1 |        o1 |
+#> |.....................|        o2 |        o3 |        o4 |        o5 |
+#> |    1|     468.02617 |     1.000 |    -1.000 |   -0.9113 |   -0.8954 |
+#> |.....................|   -0.8491 |   -0.8511 |   -0.8672 |   -0.8762 |
+#> |.....................|   -0.8737 |   -0.8674 |   -0.8694 |   -0.8687 |
+#> |    U|     468.02617 |     94.00 |    -5.400 |   -0.9900 |   -0.2000 |
+#> |.....................|     2.100 |     2.000 |     1.200 |    0.7536 |
+#> |.....................|    0.8758 |     1.189 |     1.093 |     1.127 |
+#> |    X|     468.02617 |     94.00 |  0.004517 |    0.2709 |    0.8187 |
+#> |.....................|     8.166 |     2.000 |     1.200 |    0.7536 |
+#> |.....................|    0.8758 |     1.189 |     1.093 |     1.127 |
+#> |    G|    Gill Diff. |     49.30 |     2.016 |   -0.2473 |   -0.3737 |
+#> |.....................|    -1.227 |    -27.89 |    -10.29 |     8.753 |
+#> |.....................|     11.17 |    -12.52 |    -9.819 |    -8.910 |
+#> |    2|     4021.4865 |    0.2059 |    -1.032 |   -0.9073 |   -0.8894 |
+#> |.....................|   -0.8293 |   -0.4019 |   -0.7014 |    -1.017 |
+#> |.....................|    -1.054 |   -0.6658 |   -0.7112 |   -0.7251 |
+#> |    U|     4021.4865 |     19.35 |    -5.432 |   -0.9861 |   -0.1940 |
+#> |.....................|     2.120 |     2.449 |     1.299 |    0.6474 |
+#> |.....................|    0.7182 |     1.429 |     1.266 |     1.289 |
+#> |    X|     4021.4865 |     19.35 |  0.004372 |    0.2717 |    0.8237 |
+#> |.....................|     8.329 |     2.449 |     1.299 |    0.6474 |
+#> |.....................|    0.7182 |     1.429 |     1.266 |     1.289 |
+#> |    3|     518.20369 |    0.9206 |    -1.003 |   -0.9109 |   -0.8948 |
+#> |.....................|   -0.8471 |   -0.8062 |   -0.8506 |   -0.8903 |
+#> |.....................|   -0.8917 |   -0.8473 |   -0.8535 |   -0.8543 |
+#> |    U|     518.20369 |     86.53 |    -5.403 |   -0.9896 |   -0.1994 |
+#> |.....................|     2.102 |     2.045 |     1.210 |    0.7430 |
+#> |.....................|    0.8600 |     1.213 |     1.111 |     1.143 |
+#> |    X|     518.20369 |     86.53 |  0.004502 |    0.2710 |    0.8192 |
+#> |.....................|     8.182 |     2.045 |     1.210 |    0.7430 |
+#> |.....................|    0.8600 |     1.213 |     1.111 |     1.143 |
+#> |    4|     467.99742 |    0.9921 |    -1.000 |   -0.9112 |   -0.8953 |
+#> |.....................|   -0.8489 |   -0.8466 |   -0.8655 |   -0.8776 |
+#> |.....................|   -0.8755 |   -0.8654 |   -0.8678 |   -0.8672 |
+#> |    U|     467.99742 |     93.25 |    -5.400 |   -0.9900 |   -0.1999 |
+#> |.....................|     2.100 |     2.004 |     1.201 |    0.7526 |
+#> |.....................|    0.8742 |     1.192 |     1.095 |     1.129 |
+#> |    X|     467.99742 |     93.25 |  0.004515 |    0.2709 |    0.8188 |
+#> |.....................|     8.168 |     2.004 |     1.201 |    0.7526 |
+#> |.....................|    0.8742 |     1.192 |     1.095 |     1.129 |
+#> |    F| Forward Diff. |    -98.28 |     1.929 |   -0.4044 |   -0.4503 |
+#> |.....................|    -1.484 |    -29.27 |    -9.987 |     8.922 |
+#> |.....................|     9.417 |    -11.79 |    -9.521 |    -8.343 |
+#> |    5|     467.67344 |    0.9967 |    -1.000 |   -0.9112 |   -0.8953 |
+#> |.....................|   -0.8488 |   -0.8452 |   -0.8651 |   -0.8780 |
+#> |.....................|   -0.8760 |   -0.8648 |   -0.8673 |   -0.8668 |
+#> |    U|     467.67344 |     93.69 |    -5.400 |   -0.9899 |   -0.1999 |
+#> |.....................|     2.100 |     2.006 |     1.201 |    0.7523 |
+#> |.....................|    0.8738 |     1.192 |     1.095 |     1.129 |
+#> |    X|     467.67344 |     93.69 |  0.004515 |    0.2709 |    0.8188 |
+#> |.....................|     8.168 |     2.006 |     1.201 |    0.7523 |
+#> |.....................|    0.8738 |     1.192 |     1.095 |     1.129 |
+#> |    F| Forward Diff. |    -11.92 |     1.963 |   -0.3242 |   -0.4184 |
+#> |.....................|    -1.350 |    -28.16 |    -10.02 |     8.541 |
+#> |.....................|     8.305 |    -11.80 |    -9.512 |    -8.408 |
+#> |    6|     467.50396 |    0.9983 |    -1.001 |   -0.9112 |   -0.8952 |
+#> |.....................|   -0.8487 |   -0.8416 |   -0.8638 |   -0.8791 |
+#> |.....................|   -0.8771 |   -0.8633 |   -0.8661 |   -0.8658 |
+#> |    U|     467.50396 |     93.84 |    -5.401 |   -0.9899 |   -0.1999 |
+#> |.....................|     2.100 |     2.010 |     1.202 |    0.7514 |
+#> |.....................|    0.8729 |     1.194 |     1.097 |     1.130 |
+#> |    X|     467.50396 |     93.84 |  0.004514 |    0.2709 |    0.8188 |
+#> |.....................|     8.170 |     2.010 |     1.202 |    0.7514 |
+#> |.....................|    0.8729 |     1.194 |     1.097 |     1.130 |
+#> |    7|     467.27231 |     1.003 |    -1.001 |   -0.9110 |   -0.8951 |
+#> |.....................|   -0.8481 |   -0.8306 |   -0.8599 |   -0.8825 |
+#> |.....................|   -0.8803 |   -0.8587 |   -0.8624 |   -0.8625 |
+#> |    U|     467.27231 |     94.27 |    -5.401 |   -0.9898 |   -0.1997 |
+#> |.....................|     2.101 |     2.021 |     1.204 |    0.7489 |
+#> |.....................|    0.8700 |     1.200 |     1.101 |     1.134 |
+#> |    X|     467.27231 |     94.27 |  0.004510 |    0.2710 |    0.8190 |
+#> |.....................|     8.174 |     2.021 |     1.204 |    0.7489 |
+#> |.....................|    0.8700 |     1.200 |     1.101 |     1.134 |
+#> |    F| Forward Diff. |     101.6 |     1.991 |   -0.1997 |   -0.3688 |
+#> |.....................|    -1.177 |    -25.72 |    -9.853 |     9.249 |
+#> |.....................|     8.335 |    -11.58 |    -9.288 |    -8.277 |
+#> |    8|     466.36087 |    0.9961 |    -1.002 |   -0.9109 |   -0.8949 |
+#> |.....................|   -0.8474 |   -0.8165 |   -0.8547 |   -0.8873 |
+#> |.....................|   -0.8853 |   -0.8526 |   -0.8575 |   -0.8582 |
+#> |    U|     466.36087 |     93.63 |    -5.402 |   -0.9896 |   -0.1995 |
+#> |.....................|     2.102 |     2.035 |     1.207 |    0.7453 |
+#> |.....................|    0.8657 |     1.207 |     1.106 |     1.139 |
+#> |    X|     466.36087 |     93.63 |  0.004506 |    0.2710 |    0.8191 |
+#> |.....................|     8.180 |     2.035 |     1.207 |    0.7453 |
+#> |.....................|    0.8657 |     1.207 |     1.106 |     1.139 |
+#> |    F| Forward Diff. |    -21.78 |     1.909 |   -0.3215 |   -0.4291 |
+#> |.....................|    -1.401 |    -25.38 |    -9.315 |     7.655 |
+#> |.....................|     10.17 |    -11.26 |    -9.035 |    -7.894 |
+#> |    9|     465.79764 |     1.000 |    -1.004 |   -0.9107 |   -0.8946 |
+#> |.....................|   -0.8467 |   -0.8024 |   -0.8495 |   -0.8920 |
+#> |.....................|   -0.8917 |   -0.8462 |   -0.8524 |   -0.8537 |
+#> |    U|     465.79764 |     94.04 |    -5.404 |   -0.9895 |   -0.1993 |
+#> |.....................|     2.102 |     2.049 |     1.211 |    0.7417 |
+#> |.....................|    0.8600 |     1.214 |     1.112 |     1.144 |
+#> |    X|     465.79764 |     94.04 |  0.004501 |    0.2710 |    0.8193 |
+#> |.....................|     8.186 |     2.049 |     1.211 |    0.7417 |
+#> |.....................|    0.8600 |     1.214 |     1.112 |     1.144 |
+#> |    F| Forward Diff. |     54.81 |     1.910 |   -0.2489 |   -0.4009 |
+#> |.....................|    -1.285 |    -22.17 |    -8.389 |     8.020 |
+#> |.....................|     7.340 |    -11.02 |    -8.786 |    -7.720 |
+#> |   10|     465.18897 |    0.9945 |    -1.005 |   -0.9105 |   -0.8943 |
+#> |.....................|   -0.8457 |   -0.7893 |   -0.8445 |   -0.8971 |
+#> |.....................|   -0.8975 |   -0.8390 |   -0.8467 |   -0.8487 |
+#> |    U|     465.18897 |     93.48 |    -5.405 |   -0.9893 |   -0.1990 |
+#> |.....................|     2.103 |     2.062 |     1.214 |    0.7379 |
+#> |.....................|    0.8549 |     1.223 |     1.118 |     1.149 |
+#> |    X|     465.18897 |     93.48 |  0.004495 |    0.2711 |    0.8196 |
+#> |.....................|     8.194 |     2.062 |     1.214 |    0.7379 |
+#> |.....................|    0.8549 |     1.223 |     1.118 |     1.149 |
+#> |    F| Forward Diff. |    -47.52 |     1.834 |   -0.3684 |   -0.4503 |
+#> |.....................|    -1.489 |    -22.39 |    -7.996 |     7.294 |
+#> |.....................|     9.249 |    -10.90 |    -8.741 |    -7.575 |
+#> |   11|     464.56229 |    0.9983 |    -1.006 |   -0.9102 |   -0.8940 |
+#> |.....................|   -0.8445 |   -0.7772 |   -0.8401 |   -0.9030 |
+#> |.....................|   -0.9029 |   -0.8305 |   -0.8400 |   -0.8430 |
+#> |    U|     464.56229 |     93.84 |    -5.406 |   -0.9890 |   -0.1986 |
+#> |.....................|     2.105 |     2.074 |     1.216 |    0.7334 |
+#> |.....................|    0.8503 |     1.233 |     1.125 |     1.156 |
+#> |    X|     464.56229 |     93.84 |  0.004488 |    0.2711 |    0.8199 |
+#> |.....................|     8.204 |     2.074 |     1.216 |    0.7334 |
+#> |.....................|    0.8503 |     1.233 |     1.125 |     1.156 |
+#> |   12|     463.71730 |    0.9982 |    -1.009 |   -0.9098 |   -0.8933 |
+#> |.....................|   -0.8424 |   -0.7583 |   -0.8332 |   -0.9128 |
+#> |.....................|   -0.9112 |   -0.8167 |   -0.8291 |   -0.8337 |
+#> |    U|      463.7173 |     93.83 |    -5.409 |   -0.9885 |   -0.1980 |
+#> |.....................|     2.107 |     2.093 |     1.220 |    0.7260 |
+#> |.....................|    0.8430 |     1.249 |     1.137 |     1.166 |
+#> |    X|      463.7173 |     93.83 |  0.004478 |    0.2712 |    0.8204 |
+#> |.....................|     8.221 |     2.093 |     1.220 |    0.7260 |
+#> |.....................|    0.8430 |     1.249 |     1.137 |     1.166 |
+#> |   13|     461.03699 |    0.9978 |    -1.018 |   -0.9080 |   -0.8909 |
+#> |.....................|   -0.8343 |   -0.6839 |   -0.8059 |   -0.9516 |
+#> |.....................|   -0.9441 |   -0.7622 |   -0.7862 |   -0.7969 |
+#> |    U|     461.03699 |     93.79 |    -5.418 |   -0.9868 |   -0.1955 |
+#> |.....................|     2.115 |     2.167 |     1.237 |    0.6968 |
+#> |.....................|    0.8141 |     1.314 |     1.184 |     1.208 |
+#> |    X|     461.03699 |     93.79 |  0.004435 |    0.2716 |    0.8224 |
+#> |.....................|     8.288 |     2.167 |     1.237 |    0.6968 |
+#> |.....................|    0.8141 |     1.314 |     1.184 |     1.208 |
+#> |   14|     458.83693 |    0.9972 |    -1.033 |   -0.9052 |   -0.8871 |
+#> |.....................|   -0.8218 |   -0.5692 |   -0.7639 |    -1.011 |
+#> |.....................|   -0.9948 |   -0.6782 |   -0.7201 |   -0.7403 |
+#> |    U|     458.83693 |     93.74 |    -5.433 |   -0.9840 |   -0.1917 |
+#> |.....................|     2.127 |     2.282 |     1.262 |    0.6519 |
+#> |.....................|    0.7697 |     1.414 |     1.256 |     1.272 |
+#> |    X|     458.83693 |     93.74 |  0.004371 |    0.2721 |    0.8255 |
+#> |.....................|     8.393 |     2.282 |     1.262 |    0.6519 |
+#> |.....................|    0.7697 |     1.414 |     1.256 |     1.272 |
+#> |    F| Forward Diff. |   0.05416 |     1.397 |   -0.2200 |   -0.5344 |
+#> |.....................|    -1.585 |    -3.387 |    -1.306 |   -0.2250 |
+#> |.....................|     1.392 |    -3.452 |    -2.065 |    -1.405 |
+#> |   15|     459.30045 |    0.9957 |    -1.166 |   -0.8845 |   -0.8313 |
+#> |.....................|   -0.6584 |   -0.5528 |   -0.7505 |   -0.8569 |
+#> |.....................|    -1.017 |   -0.4560 |   -0.6245 |   -0.7036 |
+#> |    U|     459.30045 |     93.60 |    -5.566 |   -0.9635 |   -0.1360 |
+#> |.....................|     2.291 |     2.298 |     1.270 |    0.7682 |
+#> |.....................|    0.7505 |     1.678 |     1.361 |     1.313 |
+#> |    X|     459.30045 |     93.60 |  0.003827 |    0.2762 |    0.8729 |
+#> |.....................|     9.881 |     2.298 |     1.270 |    0.7682 |
+#> |.....................|    0.7505 |     1.678 |     1.361 |     1.313 |
+#> |   16|     458.36319 |    0.9960 |    -1.071 |   -0.8992 |   -0.8719 |
+#> |.....................|   -0.7770 |   -0.5045 |   -0.7383 |   -0.9927 |
+#> |.....................|    -1.023 |   -0.5931 |   -0.6727 |   -0.7107 |
+#> |    U|     458.36319 |     93.63 |    -5.471 |   -0.9780 |   -0.1766 |
+#> |.....................|     2.172 |     2.347 |     1.277 |    0.6658 |
+#> |.....................|    0.7452 |     1.515 |     1.308 |     1.305 |
+#> |    X|     458.36319 |     93.63 |  0.004206 |    0.2733 |    0.8381 |
+#> |.....................|     8.777 |     2.347 |     1.277 |    0.6658 |
+#> |.....................|    0.7452 |     1.515 |     1.308 |     1.305 |
+#> |    F| Forward Diff. |    -12.30 |     1.214 |   0.06343 |   -0.2616 |
+#> |.....................|   -0.6069 |   0.08029 |    0.4273 |   0.07297 |
+#> |.....................|   -0.3937 |    0.3470 |    0.5201 |   0.09241 |
+#> |   17|     458.37724 |    0.9977 |    -1.183 |   -0.9046 |   -0.8476 |
+#> |.....................|   -0.7196 |   -0.4765 |   -0.7567 |    -1.014 |
+#> |.....................|   -0.9850 |   -0.5955 |   -0.6985 |   -0.7030 |
+#> |    U|     458.37724 |     93.79 |    -5.583 |   -0.9834 |   -0.1522 |
+#> |.....................|     2.229 |     2.375 |     1.266 |    0.6497 |
+#> |.....................|    0.7783 |     1.513 |     1.280 |     1.314 |
+#> |    X|     458.37724 |     93.79 |  0.003762 |    0.2722 |    0.8588 |
+#> |.....................|     9.295 |     2.375 |     1.266 |    0.6497 |
+#> |.....................|    0.7783 |     1.513 |     1.280 |     1.314 |
+#> |   18|     458.32800 |    0.9976 |    -1.124 |   -0.9017 |   -0.8605 |
+#> |.....................|   -0.7499 |   -0.4913 |   -0.7470 |    -1.003 |
+#> |.....................|    -1.005 |   -0.5943 |   -0.6849 |   -0.7071 |
+#> |    U|       458.328 |     93.78 |    -5.524 |   -0.9806 |   -0.1651 |
+#> |.....................|     2.199 |     2.360 |     1.272 |    0.6583 |
+#> |.....................|    0.7608 |     1.514 |     1.295 |     1.309 |
+#> |    X|       458.328 |     93.78 |  0.003990 |    0.2728 |    0.8478 |
+#> |.....................|     9.017 |     2.360 |     1.272 |    0.6583 |
+#> |.....................|    0.7608 |     1.514 |     1.295 |     1.309 |
+#> |    F| Forward Diff. |     9.757 |     1.093 |  -0.06310 |   0.02237 |
+#> |.....................|   0.09811 |    0.3115 |   -0.3381 |   -0.2098 |
+#> |.....................|    0.8196 |    0.7052 |   0.04425 |    0.2610 |
+#> |   19|     458.25889 |    0.9968 |    -1.183 |   -0.9011 |   -0.8543 |
+#> |.....................|   -0.7363 |   -0.4871 |   -0.7422 |    -1.003 |
+#> |.....................|    -1.023 |   -0.6115 |   -0.6911 |   -0.7106 |
+#> |    U|     458.25889 |     93.70 |    -5.583 |   -0.9799 |   -0.1589 |
+#> |.....................|     2.213 |     2.364 |     1.275 |    0.6583 |
+#> |.....................|    0.7450 |     1.494 |     1.288 |     1.305 |
+#> |    X|     458.25889 |     93.70 |  0.003760 |    0.2729 |    0.8531 |
+#> |.....................|     9.141 |     2.364 |     1.275 |    0.6583 |
+#> |.....................|    0.7450 |     1.494 |     1.288 |     1.305 |
+#> |    F| Forward Diff. |   -0.6125 |    0.8824 |  -0.01905 |    0.1697 |
+#> |.....................|    0.4368 |    0.4743 |   0.05191 |   -0.6440 |
+#> |.....................|   -0.4868 |   -0.9136 |   -0.3225 |  -0.06220 |
+#> |   20|     458.18570 |    0.9978 |    -1.246 |   -0.9006 |   -0.8585 |
+#> |.....................|   -0.7495 |   -0.4978 |   -0.7385 |   -0.9895 |
+#> |.....................|    -1.024 |   -0.6046 |   -0.6874 |   -0.7124 |
+#> |    U|      458.1857 |     93.79 |    -5.646 |   -0.9794 |   -0.1632 |
+#> |.....................|     2.200 |     2.353 |     1.277 |    0.6683 |
+#> |.....................|    0.7440 |     1.502 |     1.292 |     1.303 |
+#> |    X|      458.1857 |     93.79 |  0.003532 |    0.2730 |    0.8495 |
+#> |.....................|     9.022 |     2.353 |     1.277 |    0.6683 |
+#> |.....................|    0.7440 |     1.502 |     1.292 |     1.303 |
+#> |   21|     458.13464 |    0.9963 |    -1.435 |   -0.8992 |   -0.8705 |
+#> |.....................|   -0.7875 |   -0.5278 |   -0.7264 |   -0.9531 |
+#> |.....................|    -1.031 |   -0.5901 |   -0.6784 |   -0.7184 |
+#> |    U|     458.13464 |     93.65 |    -5.835 |   -0.9781 |   -0.1751 |
+#> |.....................|     2.162 |     2.323 |     1.284 |    0.6957 |
+#> |.....................|    0.7378 |     1.519 |     1.302 |     1.296 |
+#> |    X|     458.13464 |     93.65 |  0.002922 |    0.2733 |    0.8394 |
+#> |.....................|     8.685 |     2.323 |     1.284 |    0.6957 |
+#> |.....................|    0.7378 |     1.519 |     1.302 |     1.296 |
+#> |    F| Forward Diff. |    -15.15 |    0.2290 |    0.2476 |   -0.1455 |
+#> |.....................|   -0.7111 |    -1.138 |    0.8895 |     1.880 |
+#> |.....................|    -1.837 |    0.2029 |    0.3485 |   -0.6531 |
+#> |   22|     458.67841 |    0.9992 |    -1.651 |   -0.9027 |   -0.9245 |
+#> |.....................|   -0.8733 |   -0.5209 |   -0.7232 |    -1.036 |
+#> |.....................|    -1.001 |   -0.6164 |   -0.6125 |   -0.6771 |
+#> |    U|     458.67841 |     93.92 |    -6.051 |   -0.9815 |   -0.2291 |
+#> |.....................|     2.076 |     2.330 |     1.286 |    0.6333 |
+#> |.....................|    0.7647 |     1.488 |     1.374 |     1.343 |
+#> |    X|     458.67841 |     93.92 |  0.002355 |    0.2726 |    0.7952 |
+#> |.....................|     7.971 |     2.330 |     1.286 |    0.6333 |
+#> |.....................|    0.7647 |     1.488 |     1.374 |     1.343 |
+#> |   23|     458.25487 |     1.002 |    -1.469 |   -0.8998 |   -0.8789 |
+#> |.....................|   -0.8006 |   -0.5263 |   -0.7262 |   -0.9666 |
+#> |.....................|    -1.026 |   -0.5942 |   -0.6683 |   -0.7117 |
+#> |    U|     458.25487 |     94.17 |    -5.869 |   -0.9787 |   -0.1835 |
+#> |.....................|     2.148 |     2.325 |     1.285 |    0.6855 |
+#> |.....................|    0.7425 |     1.514 |     1.313 |     1.304 |
+#> |    X|     458.25487 |     94.17 |  0.002825 |    0.2732 |    0.8324 |
+#> |.....................|     8.572 |     2.325 |     1.285 |    0.6855 |
+#> |.....................|    0.7425 |     1.514 |     1.313 |     1.304 |
+#> |   24|     458.28425 |     1.002 |    -1.442 |   -0.8994 |   -0.8721 |
+#> |.....................|   -0.7899 |   -0.5271 |   -0.7267 |   -0.9564 |
+#> |.....................|    -1.030 |   -0.5910 |   -0.6765 |   -0.7168 |
+#> |    U|     458.28425 |     94.21 |    -5.842 |   -0.9783 |   -0.1768 |
+#> |.....................|     2.159 |     2.324 |     1.284 |    0.6932 |
+#> |.....................|    0.7392 |     1.518 |     1.304 |     1.298 |
+#> |    X|     458.28425 |     94.21 |  0.002902 |    0.2732 |    0.8380 |
+#> |.....................|     8.664 |     2.324 |     1.284 |    0.6932 |
+#> |.....................|    0.7392 |     1.518 |     1.304 |     1.298 |
+#> |   25|     458.13208 |    0.9983 |    -1.435 |   -0.8993 |   -0.8705 |
+#> |.....................|   -0.7874 |   -0.5276 |   -0.7266 |   -0.9533 |
+#> |.....................|    -1.031 |   -0.5901 |   -0.6785 |   -0.7183 |
+#> |    U|     458.13208 |     93.84 |    -5.835 |   -0.9781 |   -0.1751 |
+#> |.....................|     2.162 |     2.323 |     1.284 |    0.6955 |
+#> |.....................|    0.7380 |     1.519 |     1.302 |     1.296 |
+#> |    X|     458.13208 |     93.84 |  0.002922 |    0.2733 |    0.8394 |
+#> |.....................|     8.686 |     2.323 |     1.284 |    0.6955 |
+#> |.....................|    0.7380 |     1.519 |     1.302 |     1.296 |
+#> |    F| Forward Diff. |     13.75 |    0.2391 |    0.3431 |   -0.1129 |
+#> |.....................|   -0.6079 |    -1.684 |    0.2301 |     1.587 |
+#> |.....................|    0.9924 |   -0.4675 |    0.3927 |   -0.7567 |
+#> |   26|     458.12484 |    0.9973 |    -1.435 |   -0.8993 |   -0.8705 |
+#> |.....................|   -0.7874 |   -0.5275 |   -0.7266 |   -0.9535 |
+#> |.....................|    -1.031 |   -0.5900 |   -0.6785 |   -0.7182 |
+#> |    U|     458.12484 |     93.75 |    -5.835 |   -0.9782 |   -0.1751 |
+#> |.....................|     2.162 |     2.324 |     1.284 |    0.6954 |
+#> |.....................|    0.7379 |     1.519 |     1.302 |     1.297 |
+#> |    X|     458.12484 |     93.75 |  0.002922 |    0.2733 |    0.8394 |
+#> |.....................|     8.686 |     2.324 |     1.284 |    0.6954 |
+#> |.....................|    0.7379 |     1.519 |     1.302 |     1.297 |
+#> |    F| Forward Diff. |   -0.4576 |    0.2336 |    0.2904 |   -0.1274 |
+#> |.....................|   -0.6585 |    -1.014 |    0.9040 |     1.932 |
+#> |.....................|    -1.695 |    0.2950 |    0.3980 |   -0.7211 |
+#> |   27|     458.12349 |    0.9975 |    -1.436 |   -0.8994 |   -0.8704 |
+#> |.....................|   -0.7872 |   -0.5272 |   -0.7269 |   -0.9542 |
+#> |.....................|    -1.031 |   -0.5901 |   -0.6787 |   -0.7180 |
+#> |    U|     458.12349 |     93.76 |    -5.836 |   -0.9783 |   -0.1751 |
+#> |.....................|     2.162 |     2.324 |     1.284 |    0.6949 |
+#> |.....................|    0.7384 |     1.519 |     1.302 |     1.297 |
+#> |    X|     458.12349 |     93.76 |  0.002922 |    0.2732 |    0.8394 |
+#> |.....................|     8.688 |     2.324 |     1.284 |    0.6949 |
+#> |.....................|    0.7384 |     1.519 |     1.302 |     1.297 |
+#> |    F| Forward Diff. |     1.734 |    0.2328 |    0.2907 |   -0.1244 |
+#> |.....................|   -0.6480 |   -0.5259 |     1.203 |     2.086 |
+#> |.....................|    -1.687 |    0.2714 |    0.3976 |   -0.7167 |
+#> |   28|     458.12069 |    0.9972 |    -1.436 |   -0.8995 |   -0.8704 |
+#> |.....................|   -0.7868 |   -0.5270 |   -0.7278 |   -0.9557 |
+#> |.....................|    -1.030 |   -0.5902 |   -0.6785 |   -0.7174 |
+#> |    U|     458.12069 |     93.74 |    -5.836 |   -0.9784 |   -0.1750 |
+#> |.....................|     2.162 |     2.324 |     1.284 |    0.6937 |
+#> |.....................|    0.7392 |     1.519 |     1.302 |     1.297 |
+#> |    X|     458.12069 |     93.74 |  0.002921 |    0.2732 |    0.8394 |
+#> |.....................|     8.691 |     2.324 |     1.284 |    0.6937 |
+#> |.....................|    0.7392 |     1.519 |     1.302 |     1.297 |
+#> |    F| Forward Diff. |    -1.995 |    0.2265 |    0.2648 |   -0.1319 |
+#> |.....................|   -0.6577 |    -1.056 |    0.5532 |     1.629 |
+#> |.....................|   -0.4851 |    0.2582 |    0.3806 |   -0.6784 |
+#> |   29|     458.12793 |    0.9986 |    -1.436 |   -0.8997 |   -0.8703 |
+#> |.....................|   -0.7863 |   -0.5263 |   -0.7282 |   -0.9568 |
+#> |.....................|    -1.029 |   -0.5904 |   -0.6788 |   -0.7169 |
+#> |    U|     458.12793 |     93.87 |    -5.836 |   -0.9785 |   -0.1749 |
+#> |.....................|     2.163 |     2.325 |     1.283 |    0.6929 |
+#> |.....................|    0.7395 |     1.519 |     1.302 |     1.298 |
+#> |    X|     458.12793 |     93.87 |  0.002920 |    0.2732 |    0.8395 |
+#> |.....................|     8.695 |     2.325 |     1.283 |    0.6929 |
+#> |.....................|    0.7395 |     1.519 |     1.302 |     1.298 |
+#> |   30|     458.12002 |    0.9975 |    -1.436 |   -0.8996 |   -0.8704 |
+#> |.....................|   -0.7866 |   -0.5269 |   -0.7279 |   -0.9559 |
+#> |.....................|    -1.030 |   -0.5903 |   -0.6786 |   -0.7173 |
+#> |    U|     458.12002 |     93.77 |    -5.836 |   -0.9784 |   -0.1750 |
+#> |.....................|     2.162 |     2.324 |     1.284 |    0.6935 |
+#> |.....................|    0.7392 |     1.519 |     1.302 |     1.298 |
+#> |    X|     458.12002 |     93.77 |  0.002921 |    0.2732 |    0.8395 |
+#> |.....................|     8.692 |     2.324 |     1.284 |    0.6935 |
+#> |.....................|    0.7392 |     1.519 |     1.302 |     1.298 |
+#> |    F| Forward Diff. |     2.647 |    0.2293 |    0.2815 |   -0.1267 |
+#> |.....................|   -0.6372 |   -0.9129 |    0.8290 |     1.823 |
+#> |.....................|    -1.624 |    0.2659 |    0.4184 |   -0.6478 |
+#> |   31|     458.11922 |    0.9973 |    -1.436 |   -0.8996 |   -0.8704 |
+#> |.....................|   -0.7866 |   -0.5268 |   -0.7280 |   -0.9563 |
+#> |.....................|    -1.029 |   -0.5903 |   -0.6786 |   -0.7171 |
+#> |    U|     458.11922 |     93.74 |    -5.836 |   -0.9784 |   -0.1750 |
+#> |.....................|     2.163 |     2.324 |     1.284 |    0.6933 |
+#> |.....................|    0.7394 |     1.519 |     1.302 |     1.298 |
+#> |    X|     458.11922 |     93.74 |  0.002920 |    0.2732 |    0.8395 |
+#> |.....................|     8.693 |     2.324 |     1.284 |    0.6933 |
+#> |.....................|    0.7394 |     1.519 |     1.302 |     1.298 |
+#> |    F| Forward Diff. |   -0.8024 |    0.2274 |    0.2665 |   -0.1307 |
+#> |.....................|   -0.6475 |    -1.019 |    0.5594 |     1.618 |
+#> |.....................|    -1.681 |    0.3232 |    0.3907 |   -0.6658 |
+#> |   32|     458.11869 |    0.9974 |    -1.436 |   -0.8996 |   -0.8703 |
+#> |.....................|   -0.7864 |   -0.5266 |   -0.7281 |   -0.9565 |
+#> |.....................|    -1.029 |   -0.5904 |   -0.6787 |   -0.7170 |
+#> |    U|     458.11869 |     93.76 |    -5.836 |   -0.9785 |   -0.1750 |
+#> |.....................|     2.163 |     2.324 |     1.283 |    0.6931 |
+#> |.....................|    0.7397 |     1.519 |     1.302 |     1.298 |
+#> |    X|     458.11869 |     93.76 |  0.002920 |    0.2732 |    0.8395 |
+#> |.....................|     8.694 |     2.324 |     1.283 |    0.6931 |
+#> |.....................|    0.7397 |     1.519 |     1.302 |     1.298 |
+#> |    F| Forward Diff. |     1.112 |    0.2271 |    0.2694 |   -0.1286 |
+#> |.....................|   -0.6401 |    -1.529 |    0.3516 |     1.832 |
+#> |.....................|   -0.3653 |    0.2635 |    0.3774 |   -0.6589 |
+#> |   33|     458.11797 |    0.9972 |    -1.436 |   -0.8997 |   -0.8703 |
+#> |.....................|   -0.7863 |   -0.5263 |   -0.7282 |   -0.9569 |
+#> |.....................|    -1.029 |   -0.5904 |   -0.6788 |   -0.7169 |
+#> |    U|     458.11797 |     93.74 |    -5.836 |   -0.9785 |   -0.1749 |
+#> |.....................|     2.163 |     2.325 |     1.283 |    0.6928 |
+#> |.....................|    0.7397 |     1.519 |     1.302 |     1.298 |
+#> |    X|     458.11797 |     93.74 |  0.002920 |    0.2732 |    0.8395 |
+#> |.....................|     8.695 |     2.325 |     1.283 |    0.6928 |
+#> |.....................|    0.7397 |     1.519 |     1.302 |     1.298 |
+#> |    F| Forward Diff. |    -1.528 |    0.2260 |    0.2581 |   -0.1311 |
+#> |.....................|   -0.6478 |    -1.074 |    0.7096 |     1.705 |
+#> |.....................|    -1.609 |    0.2690 |    0.3809 |   -0.6419 |
+#> |   34|     458.11744 |    0.9975 |    -1.436 |   -0.8997 |   -0.8703 |
+#> |.....................|   -0.7862 |   -0.5262 |   -0.7283 |   -0.9571 |
+#> |.....................|    -1.029 |   -0.5904 |   -0.6788 |   -0.7168 |
+#> |    U|     458.11744 |     93.76 |    -5.836 |   -0.9786 |   -0.1749 |
+#> |.....................|     2.163 |     2.325 |     1.283 |    0.6926 |
+#> |.....................|    0.7399 |     1.519 |     1.302 |     1.298 |
+#> |    X|     458.11744 |     93.76 |  0.002920 |    0.2732 |    0.8395 |
+#> |.....................|     8.696 |     2.325 |     1.283 |    0.6926 |
+#> |.....................|    0.7399 |     1.519 |     1.302 |     1.298 |
+#> |    F| Forward Diff. |     1.737 |    0.2262 |    0.2659 |   -0.1276 |
+#> |.....................|   -0.6346 |   -0.9458 |    0.5100 |     1.567 |
+#> |.....................|    -1.640 |    0.3111 |    0.3526 |   -0.6225 |
+#> |   35|     458.11714 |    0.9972 |    -1.436 |   -0.8998 |   -0.8703 |
+#> |.....................|   -0.7861 |   -0.5260 |   -0.7284 |   -0.9574 |
+#> |.....................|    -1.029 |   -0.5905 |   -0.6789 |   -0.7167 |
+#> |    U|     458.11714 |     93.74 |    -5.836 |   -0.9786 |   -0.1749 |
+#> |.....................|     2.163 |     2.325 |     1.283 |    0.6924 |
+#> |.....................|    0.7402 |     1.519 |     1.302 |     1.298 |
+#> |    X|     458.11714 |     93.74 |  0.002920 |    0.2732 |    0.8395 |
+#> |.....................|     8.697 |     2.325 |     1.283 |    0.6924 |
+#> |.....................|    0.7402 |     1.519 |     1.302 |     1.298 |
+#> |    F| Forward Diff. |    -1.976 |    0.2241 |    0.2491 |   -0.1309 |
+#> |.....................|   -0.6467 |   -0.8649 |    0.8521 |     1.757 |
+#> |.....................|    -1.585 |    0.2641 |    0.3618 |   -0.6092 |
+#> |   36|     458.11663 |    0.9975 |    -1.436 |   -0.8998 |   -0.8703 |
+#> |.....................|   -0.7860 |   -0.5259 |   -0.7285 |   -0.9576 |
+#> |.....................|    -1.028 |   -0.5905 |   -0.6789 |   -0.7166 |
+#> |    U|     458.11663 |     93.76 |    -5.836 |   -0.9787 |   -0.1749 |
+#> |.....................|     2.163 |     2.325 |     1.283 |    0.6923 |
+#> |.....................|    0.7404 |     1.518 |     1.301 |     1.298 |
+#> |    X|     458.11663 |     93.76 |  0.002920 |    0.2732 |    0.8396 |
+#> |.....................|     8.698 |     2.325 |     1.283 |    0.6923 |
+#> |.....................|    0.7404 |     1.518 |     1.301 |     1.298 |
+#> |    F| Forward Diff. |     2.001 |    0.2249 |    0.2609 |   -0.1271 |
+#> |.....................|   -0.6310 |   -0.8317 |    0.8110 |     1.745 |
+#> |.....................|   -0.3162 |    0.2564 |    0.3586 |   -0.6097 |
+#> |   37|     458.11610 |    0.9971 |    -1.436 |   -0.8999 |   -0.8702 |
+#> |.....................|   -0.7859 |   -0.5258 |   -0.7286 |   -0.9579 |
+#> |.....................|    -1.028 |   -0.5906 |   -0.6790 |   -0.7165 |
+#> |    U|      458.1161 |     93.73 |    -5.836 |   -0.9787 |   -0.1749 |
+#> |.....................|     2.163 |     2.325 |     1.283 |    0.6920 |
+#> |.....................|    0.7404 |     1.518 |     1.301 |     1.298 |
+#> |    X|      458.1161 |     93.73 |  0.002920 |    0.2732 |    0.8396 |
+#> |.....................|     8.699 |     2.325 |     1.283 |    0.6920 |
+#> |.....................|    0.7404 |     1.518 |     1.301 |     1.298 |
+#> |    F| Forward Diff. |    -2.471 |    0.2228 |    0.2417 |   -0.1310 |
+#> |.....................|   -0.6447 |    -1.605 |  0.009434 |     1.531 |
+#> |.....................|    -1.615 |    0.2909 |    0.3664 |   -0.6093 |
+#> |   38|     458.11531 |    0.9974 |    -1.436 |   -0.8999 |   -0.8702 |
+#> |.....................|   -0.7859 |   -0.5256 |   -0.7287 |   -0.9582 |
+#> |.....................|    -1.028 |   -0.5905 |   -0.6791 |   -0.7164 |
+#> |    U|     458.11531 |     93.76 |    -5.836 |   -0.9788 |   -0.1749 |
+#> |.....................|     2.163 |     2.326 |     1.283 |    0.6918 |
+#> |.....................|    0.7405 |     1.518 |     1.301 |     1.299 |
+#> |    X|     458.11531 |     93.76 |  0.002919 |    0.2731 |    0.8396 |
+#> |.....................|     8.699 |     2.326 |     1.283 |    0.6918 |
+#> |.....................|    0.7405 |     1.518 |     1.301 |     1.299 |
+#> |    F| Forward Diff. |     1.540 |    0.2236 |    0.2522 |   -0.1268 |
+#> |.....................|   -0.6308 |   -0.9638 |    0.7239 |     1.714 |
+#> |.....................|    -1.540 |    0.2567 |    0.3599 |   -0.5942 |
+#> |   39|     458.11496 |    0.9972 |    -1.436 |   -0.8999 |   -0.8702 |
+#> |.....................|   -0.7858 |   -0.5254 |   -0.7288 |   -0.9585 |
+#> |.....................|    -1.028 |   -0.5906 |   -0.6791 |   -0.7163 |
+#> |    U|     458.11496 |     93.74 |    -5.836 |   -0.9788 |   -0.1748 |
+#> |.....................|     2.163 |     2.326 |     1.283 |    0.6916 |
+#> |.....................|    0.7408 |     1.518 |     1.301 |     1.299 |
+#> |    X|     458.11496 |     93.74 |  0.002919 |    0.2731 |    0.8396 |
+#> |.....................|     8.700 |     2.326 |     1.283 |    0.6916 |
+#> |.....................|    0.7408 |     1.518 |     1.301 |     1.299 |
+#> |    F| Forward Diff. |    -1.772 |    0.2217 |    0.2376 |   -0.1305 |
+#> |.....................|   -0.6412 |    -1.736 |    0.1210 |     1.307 |
+#> |.....................|    -1.540 |    0.2780 |    0.3483 |   -0.5916 |
+#> |   40|     458.11458 |    0.9975 |    -1.436 |   -0.9000 |   -0.8702 |
+#> |.....................|   -0.7857 |   -0.5252 |   -0.7289 |   -0.9587 |
+#> |.....................|    -1.028 |   -0.5906 |   -0.6792 |   -0.7163 |
+#> |    U|     458.11458 |     93.76 |    -5.836 |   -0.9788 |   -0.1748 |
+#> |.....................|     2.163 |     2.326 |     1.283 |    0.6915 |
+#> |.....................|    0.7410 |     1.518 |     1.301 |     1.299 |
+#> |    X|     458.11458 |     93.76 |  0.002919 |    0.2731 |    0.8396 |
+#> |.....................|     8.701 |     2.326 |     1.283 |    0.6915 |
+#> |.....................|    0.7410 |     1.518 |     1.301 |     1.299 |
+#> |    F| Forward Diff. |     1.896 |    0.2223 |    0.2476 |   -0.1262 |
+#> |.....................|   -0.6268 |   -0.4531 |    0.7600 |     1.698 |
+#> |.....................|    -1.483 |    0.2984 |    0.3374 |   -0.6006 |
+#> |   41|     458.11430 |    0.9972 |    -1.436 |   -0.9000 |   -0.8702 |
+#> |.....................|   -0.7856 |   -0.5251 |   -0.7290 |   -0.9589 |
+#> |.....................|    -1.027 |   -0.5907 |   -0.6792 |   -0.7162 |
+#> |    U|      458.1143 |     93.73 |    -5.836 |   -0.9789 |   -0.1748 |
+#> |.....................|     2.164 |     2.326 |     1.283 |    0.6913 |
+#> |.....................|    0.7412 |     1.518 |     1.301 |     1.299 |
+#> |    X|      458.1143 |     93.73 |  0.002919 |    0.2731 |    0.8396 |
+#> |.....................|     8.702 |     2.326 |     1.283 |    0.6913 |
+#> |.....................|    0.7412 |     1.518 |     1.301 |     1.299 |
+#> |    F| Forward Diff. |    -2.121 |    0.2201 |    0.2306 |   -0.1307 |
+#> |.....................|   -0.6392 |   -0.8820 |    0.4853 |     1.475 |
+#> |.....................|    -1.568 |    0.2856 |    0.3442 |   -0.5942 |
+#> |   42|     458.11392 |    0.9975 |    -1.437 |   -0.9001 |   -0.8702 |
+#> |.....................|   -0.7855 |   -0.5250 |   -0.7290 |   -0.9592 |
+#> |.....................|    -1.027 |   -0.5907 |   -0.6793 |   -0.7161 |
+#> |    U|     458.11392 |     93.76 |    -5.837 |   -0.9789 |   -0.1748 |
+#> |.....................|     2.164 |     2.326 |     1.283 |    0.6911 |
+#> |.....................|    0.7414 |     1.518 |     1.301 |     1.299 |
+#> |    X|     458.11392 |     93.76 |  0.002919 |    0.2731 |    0.8396 |
+#> |.....................|     8.702 |     2.326 |     1.283 |    0.6911 |
+#> |.....................|    0.7414 |     1.518 |     1.301 |     1.299 |
+#> |    F| Forward Diff. |     2.218 |    0.2203 |    0.2415 |   -0.1269 |
+#> |.....................|   -0.6242 |    -1.700 |   -0.1298 |     1.090 |
+#> |.....................|     1.097 |   -0.4639 |    0.3406 |   -0.5940 |
+#> |   43|     458.11292 |    0.9972 |    -1.437 |   -0.9001 |   -0.8702 |
+#> |.....................|   -0.7854 |   -0.5247 |   -0.7291 |   -0.9594 |
+#> |.....................|    -1.027 |   -0.5906 |   -0.6794 |   -0.7160 |
+#> |    U|     458.11292 |     93.74 |    -5.837 |   -0.9790 |   -0.1748 |
+#> |.....................|     2.164 |     2.326 |     1.283 |    0.6909 |
+#> |.....................|    0.7412 |     1.518 |     1.301 |     1.299 |
+#> |    X|     458.11292 |     93.74 |  0.002919 |    0.2731 |    0.8396 |
+#> |.....................|     8.703 |     2.326 |     1.283 |    0.6909 |
+#> |.....................|    0.7412 |     1.518 |     1.301 |     1.299 |
+#> |    F| Forward Diff. |    -1.114 |    0.2202 |    0.2288 |   -0.1307 |
+#> |.....................|   -0.6328 |   -0.7727 |    0.7964 |     1.664 |
+#> |.....................|   -0.2569 |    0.2827 |    0.3132 |   -0.5835 |
+#> |   44|     458.11219 |    0.9975 |    -1.437 |   -0.9002 |   -0.8701 |
+#> |.....................|   -0.7853 |   -0.5246 |   -0.7293 |   -0.9597 |
+#> |.....................|    -1.027 |   -0.5907 |   -0.6795 |   -0.7158 |
+#> |    U|     458.11219 |     93.76 |    -5.837 |   -0.9790 |   -0.1748 |
+#> |.....................|     2.164 |     2.327 |     1.283 |    0.6907 |
+#> |.....................|    0.7413 |     1.518 |     1.301 |     1.299 |
+#> |    X|     458.11219 |     93.76 |  0.002919 |    0.2731 |    0.8397 |
+#> |.....................|     8.704 |     2.327 |     1.283 |    0.6907 |
+#> |.....................|    0.7413 |     1.518 |     1.301 |     1.299 |
+#> |    F| Forward Diff. |     1.924 |    0.2207 |    0.2357 |   -0.1254 |
+#> |.....................|   -0.6202 |   -0.4451 |    0.8288 |     1.643 |
+#> |.....................|    -1.561 |    0.2786 |    0.3167 |   -0.5797 |
+#> |   45|     458.11161 |    0.9972 |    -1.437 |   -0.9002 |   -0.8701 |
+#> |.....................|   -0.7852 |   -0.5246 |   -0.7295 |   -0.9601 |
+#> |.....................|    -1.027 |   -0.5907 |   -0.6795 |   -0.7157 |
+#> |    U|     458.11161 |     93.74 |    -5.837 |   -0.9791 |   -0.1747 |
+#> |.....................|     2.164 |     2.327 |     1.283 |    0.6904 |
+#> |.....................|    0.7414 |     1.518 |     1.301 |     1.299 |
+#> |    X|     458.11161 |     93.74 |  0.002918 |    0.2731 |    0.8397 |
+#> |.....................|     8.705 |     2.327 |     1.283 |    0.6904 |
+#> |.....................|    0.7414 |     1.518 |     1.301 |     1.299 |
+#> |    F| Forward Diff. |    -1.221 |    0.2188 |    0.2217 |   -0.1291 |
+#> |.....................|   -0.6301 |    -1.629 |    0.1332 |     1.223 |
+#> |.....................|    -1.491 |    0.2969 |    0.3215 |   -0.5516 |
+#> |   46|     458.11130 |    0.9974 |    -1.437 |   -0.9003 |   -0.8701 |
+#> |.....................|   -0.7851 |   -0.5243 |   -0.7295 |   -0.9603 |
+#> |.....................|    -1.027 |   -0.5907 |   -0.6796 |   -0.7156 |
+#> |    U|      458.1113 |     93.76 |    -5.837 |   -0.9791 |   -0.1747 |
+#> |.....................|     2.164 |     2.327 |     1.283 |    0.6902 |
+#> |.....................|    0.7416 |     1.518 |     1.301 |     1.299 |
+#> |    X|      458.1113 |     93.76 |  0.002918 |    0.2731 |    0.8397 |
+#> |.....................|     8.706 |     2.327 |     1.283 |    0.6902 |
+#> |.....................|    0.7416 |     1.518 |     1.301 |     1.299 |
+#> |    F| Forward Diff. |     1.605 |    0.2188 |    0.2279 |   -0.1262 |
+#> |.....................|   -0.6191 |    -1.596 |    0.1216 |     1.254 |
+#> |.....................|     1.158 |   -0.4084 |    0.3005 |   -0.5648 |
+#> |   47|     458.11059 |    0.9972 |    -1.437 |   -0.9003 |   -0.8701 |
+#> |.....................|   -0.7850 |   -0.5240 |   -0.7295 |   -0.9605 |
+#> |.....................|    -1.027 |   -0.5906 |   -0.6796 |   -0.7155 |
+#> |    U|     458.11059 |     93.73 |    -5.837 |   -0.9791 |   -0.1747 |
+#> |.....................|     2.164 |     2.327 |     1.283 |    0.6901 |
+#> |.....................|    0.7415 |     1.518 |     1.301 |     1.300 |
+#> |    X|     458.11059 |     93.73 |  0.002918 |    0.2731 |    0.8397 |
+#> |.....................|     8.707 |     2.327 |     1.283 |    0.6901 |
+#> |.....................|    0.7415 |     1.518 |     1.301 |     1.300 |
+#> |    F| Forward Diff. |    -2.022 |    0.2179 |    0.2140 |   -0.1317 |
+#> |.....................|   -0.6294 |   -0.4112 |    0.8588 |     1.629 |
+#> |.....................|    -1.524 |    0.3410 |    0.3226 |   -0.5400 |
+#> |   48|     458.10995 |    0.9975 |    -1.437 |   -0.9003 |   -0.8701 |
+#> |.....................|   -0.7849 |   -0.5239 |   -0.7297 |   -0.9608 |
+#> |.....................|    -1.027 |   -0.5906 |   -0.6797 |   -0.7154 |
+#> |    U|     458.10995 |     93.76 |    -5.837 |   -0.9792 |   -0.1747 |
+#> |.....................|     2.164 |     2.327 |     1.283 |    0.6899 |
+#> |.....................|    0.7416 |     1.518 |     1.301 |     1.300 |
+#> |    X|     458.10995 |     93.76 |  0.002918 |    0.2731 |    0.8397 |
+#> |.....................|     8.708 |     2.327 |     1.283 |    0.6899 |
+#> |.....................|    0.7416 |     1.518 |     1.301 |     1.300 |
+#> |    F| Forward Diff. |     1.872 |    0.2188 |    0.2245 |   -0.1278 |
+#> |.....................|   -0.6141 |    -1.055 |    0.5121 |     1.433 |
+#> |.....................|    -1.504 |    0.3641 |    0.3235 |   -0.5302 |
+#> |   49|     458.10978 |    0.9972 |    -1.437 |   -0.9004 |   -0.8700 |
+#> |.....................|   -0.7848 |   -0.5238 |   -0.7297 |   -0.9610 |
+#> |.....................|    -1.027 |   -0.5907 |   -0.6797 |   -0.7153 |
+#> |    U|     458.10978 |     93.73 |    -5.837 |   -0.9792 |   -0.1747 |
+#> |.....................|     2.164 |     2.327 |     1.282 |    0.6897 |
+#> |.....................|    0.7418 |     1.518 |     1.301 |     1.300 |
+#> |    X|     458.10978 |     93.73 |  0.002918 |    0.2730 |    0.8397 |
+#> |.....................|     8.709 |     2.327 |     1.282 |    0.6897 |
+#> |.....................|    0.7418 |     1.518 |     1.301 |     1.300 |
+#> |    C| Central Diff. |    -2.410 |    0.2142 |    0.1743 |   -0.1457 |
+#> |.....................|   -0.6441 |   -0.7806 |    0.7426 |     1.188 |
+#> |.....................|  -0.06181 |   -0.3659 |    0.5158 |   -0.5913 |
+#> |   50|     458.10914 |    0.9975 |    -1.437 |   -0.9004 |   -0.8700 |
+#> |.....................|   -0.7847 |   -0.5236 |   -0.7299 |   -0.9612 |
+#> |.....................|    -1.027 |   -0.5906 |   -0.6798 |   -0.7152 |
+#> |    U|     458.10914 |     93.77 |    -5.837 |   -0.9792 |   -0.1747 |
+#> |.....................|     2.164 |     2.327 |     1.282 |    0.6895 |
+#> |.....................|    0.7418 |     1.518 |     1.300 |     1.300 |
+#> |    X|     458.10914 |     93.77 |  0.002918 |    0.2730 |    0.8397 |
+#> |.....................|     8.709 |     2.327 |     1.282 |    0.6895 |
+#> |.....................|    0.7418 |     1.518 |     1.300 |     1.300 |
+#> |    F| Forward Diff. |     2.690 |    0.2171 |    0.2203 |   -0.1291 |
+#> |.....................|   -0.6099 |   -0.7940 |    0.4528 |     1.377 |
+#> |.....................|    -1.452 |    0.2831 |    0.2911 |   -0.5300 |
+#> |   51|     458.10832 |    0.9972 |    -1.437 |   -0.9004 |   -0.8700 |
+#> |.....................|   -0.7846 |   -0.5235 |   -0.7300 |   -0.9615 |
+#> |.....................|    -1.027 |   -0.5905 |   -0.6799 |   -0.7151 |
+#> |    U|     458.10832 |     93.74 |    -5.837 |   -0.9793 |   -0.1747 |
+#> |.....................|     2.164 |     2.328 |     1.282 |    0.6893 |
+#> |.....................|    0.7418 |     1.518 |     1.300 |     1.300 |
+#> |    X|     458.10832 |     93.74 |  0.002918 |    0.2730 |    0.8397 |
+#> |.....................|     8.710 |     2.328 |     1.282 |    0.6893 |
+#> |.....................|    0.7418 |     1.518 |     1.300 |     1.300 |
+#> |    F| Forward Diff. |    -1.386 |    0.2164 |    0.2066 |   -0.1317 |
+#> |.....................|   -0.6210 |   -0.6390 |    0.8493 |     1.598 |
+#> |.....................|    -1.491 |    0.2964 |    0.2278 |   -0.4988 |
+#> |   52|     458.10801 |    0.9974 |    -1.437 |   -0.9005 |   -0.8700 |
+#> |.....................|   -0.7845 |   -0.5234 |   -0.7302 |   -0.9618 |
+#> |.....................|    -1.026 |   -0.5906 |   -0.6800 |   -0.7150 |
+#> |    U|     458.10801 |     93.76 |    -5.837 |   -0.9793 |   -0.1746 |
+#> |.....................|     2.165 |     2.328 |     1.282 |    0.6891 |
+#> |.....................|    0.7421 |     1.518 |     1.300 |     1.300 |
+#> |    X|     458.10801 |     93.76 |  0.002918 |    0.2730 |    0.8398 |
+#> |.....................|     8.711 |     2.328 |     1.282 |    0.6891 |
+#> |.....................|    0.7421 |     1.518 |     1.300 |     1.300 |
+#> |    F| Forward Diff. |     1.854 |    0.2167 |    0.2150 |   -0.1282 |
+#> |.....................|   -0.6083 |   -0.7461 |    0.7029 |     1.539 |
+#> |.....................|   -0.1981 |    0.2733 |    0.2717 |   -0.5257 |
+#> |   53|     458.10765 |    0.9971 |    -1.437 |   -0.9005 |   -0.8700 |
+#> |.....................|   -0.7844 |   -0.5232 |   -0.7303 |   -0.9621 |
+#> |.....................|    -1.026 |   -0.5906 |   -0.6800 |   -0.7149 |
+#> |    U|     458.10765 |     93.73 |    -5.837 |   -0.9794 |   -0.1746 |
+#> |.....................|     2.165 |     2.328 |     1.282 |    0.6889 |
+#> |.....................|    0.7421 |     1.518 |     1.300 |     1.300 |
+#> |    X|     458.10765 |     93.73 |  0.002917 |    0.2730 |    0.8398 |
+#> |.....................|     8.712 |     2.328 |     1.282 |    0.6889 |
+#> |.....................|    0.7421 |     1.518 |     1.300 |     1.300 |
+#> |    F| Forward Diff. |    -2.678 |    0.2148 |    0.1964 |   -0.1329 |
+#> |.....................|   -0.6222 |   -0.7140 |    0.5004 |     1.353 |
+#> |.....................|   -0.2647 |    0.3470 |    0.3026 |   -0.5041 |
+#> |   54|     458.10677 |    0.9974 |    -1.437 |   -0.9006 |   -0.8700 |
+#> |.....................|   -0.7843 |   -0.5231 |   -0.7305 |   -0.9624 |
+#> |.....................|    -1.026 |   -0.5907 |   -0.6801 |   -0.7148 |
+#> |    U|     458.10677 |     93.76 |    -5.837 |   -0.9794 |   -0.1746 |
+#> |.....................|     2.165 |     2.328 |     1.282 |    0.6887 |
+#> |.....................|    0.7421 |     1.518 |     1.300 |     1.300 |
+#> |    X|     458.10677 |     93.76 |  0.002917 |    0.2730 |    0.8398 |
+#> |.....................|     8.713 |     2.328 |     1.282 |    0.6887 |
+#> |.....................|    0.7421 |     1.518 |     1.300 |     1.300 |
+#> |    F| Forward Diff. |     1.911 |    0.2164 |    0.2105 |   -0.1281 |
+#> |.....................|   -0.6034 |   -0.7920 |    0.6471 |     1.488 |
+#> |.....................|   -0.2445 |    0.2110 |    0.2380 |   -0.4469 |
+#> |   55|     458.10609 |    0.9972 |    -1.437 |   -0.9006 |   -0.8700 |
+#> |.....................|   -0.7842 |   -0.5230 |   -0.7306 |   -0.9627 |
+#> |.....................|    -1.026 |   -0.5907 |   -0.6801 |   -0.7147 |
+#> |    U|     458.10609 |     93.74 |    -5.837 |   -0.9794 |   -0.1746 |
+#> |.....................|     2.165 |     2.328 |     1.282 |    0.6884 |
+#> |.....................|    0.7421 |     1.518 |     1.300 |     1.300 |
+#> |    X|     458.10609 |     93.74 |  0.002917 |    0.2730 |    0.8398 |
+#> |.....................|     8.714 |     2.328 |     1.282 |    0.6884 |
+#> |.....................|    0.7421 |     1.518 |     1.300 |     1.300 |
+#> |    F| Forward Diff. |    -1.589 |    0.2148 |    0.1951 |   -0.1322 |
+#> |.....................|   -0.6145 |   -0.8575 |    0.5942 |     1.427 |
+#> |.....................|    -1.492 |    0.2699 |    0.1872 |   -0.4796 |
+#> |   56|     458.10567 |    0.9974 |    -1.437 |   -0.9006 |   -0.8699 |
+#> |.....................|   -0.7841 |   -0.5228 |   -0.7308 |   -0.9630 |
+#> |.....................|    -1.026 |   -0.5907 |   -0.6801 |   -0.7146 |
+#> |    U|     458.10567 |     93.76 |    -5.837 |   -0.9795 |   -0.1746 |
+#> |.....................|     2.165 |     2.328 |     1.282 |    0.6882 |
+#> |.....................|    0.7422 |     1.518 |     1.300 |     1.301 |
+#> |    X|     458.10567 |     93.76 |  0.002917 |    0.2730 |    0.8398 |
+#> |.....................|     8.715 |     2.328 |     1.282 |    0.6882 |
+#> |.....................|    0.7422 |     1.518 |     1.300 |     1.301 |
+#> |    F| Forward Diff. |     1.760 |    0.2153 |    0.2043 |   -0.1283 |
+#> |.....................|   -0.6005 |   -0.7529 |    0.6292 |     1.454 |
+#> |.....................|   -0.2107 |    0.2534 |    0.2280 |   -0.4318 |
+#> |   57|     458.10540 |    0.9971 |    -1.437 |   -0.9007 |   -0.8699 |
+#> |.....................|   -0.7840 |   -0.5227 |   -0.7309 |   -0.9633 |
+#> |.....................|    -1.026 |   -0.5907 |   -0.6801 |   -0.7146 |
+#> |    U|      458.1054 |     93.73 |    -5.837 |   -0.9795 |   -0.1745 |
+#> |.....................|     2.165 |     2.328 |     1.282 |    0.6880 |
+#> |.....................|    0.7423 |     1.518 |     1.300 |     1.301 |
+#> |    X|      458.1054 |     93.73 |  0.002917 |    0.2730 |    0.8398 |
+#> |.....................|     8.716 |     2.328 |     1.282 |    0.6880 |
+#> |.....................|    0.7423 |     1.518 |     1.300 |     1.301 |
+#> |    F| Forward Diff. |    -2.789 |    0.2130 |    0.1850 |   -0.1339 |
+#> |.....................|   -0.6160 |   -0.6903 |    0.7130 |     1.481 |
+#> |.....................|   -0.1975 |    0.2824 |    0.2646 |   -0.4868 |
+#> |   58|     458.10444 |    0.9974 |    -1.437 |   -0.9007 |   -0.8699 |
+#> |.....................|   -0.7839 |   -0.5226 |   -0.7311 |   -0.9636 |
+#> |.....................|    -1.026 |   -0.5907 |   -0.6801 |   -0.7145 |
+#> |    U|     458.10444 |     93.76 |    -5.837 |   -0.9796 |   -0.1745 |
+#> |.....................|     2.165 |     2.329 |     1.282 |    0.6878 |
+#> |.....................|    0.7423 |     1.518 |     1.300 |     1.301 |
+#> |    X|     458.10444 |     93.76 |  0.002916 |    0.2730 |    0.8398 |
+#> |.....................|     8.717 |     2.329 |     1.282 |    0.6878 |
+#> |.....................|    0.7423 |     1.518 |     1.300 |     1.301 |
+#> |    F| Forward Diff. |     1.285 |    0.2143 |    0.1972 |   -0.1290 |
+#> |.....................|   -0.5987 |   -0.7355 |    0.6064 |     1.421 |
+#> |.....................|    -1.460 |    0.2526 |    0.2188 |   -0.4206 |
+#> |   59|     458.10435 |    0.9972 |    -1.437 |   -0.9008 |   -0.8699 |
+#> |.....................|   -0.7838 |   -0.5224 |   -0.7312 |   -0.9638 |
+#> |.....................|    -1.026 |   -0.5908 |   -0.6802 |   -0.7144 |
+#> |    U|     458.10435 |     93.73 |    -5.837 |   -0.9796 |   -0.1745 |
+#> |.....................|     2.165 |     2.329 |     1.282 |    0.6876 |
+#> |.....................|    0.7425 |     1.518 |     1.300 |     1.301 |
+#> |    X|     458.10435 |     93.73 |  0.002916 |    0.2730 |    0.8399 |
+#> |.....................|     8.718 |     2.329 |     1.282 |    0.6876 |
+#> |.....................|    0.7425 |     1.518 |     1.300 |     1.301 |
+#> |    C| Central Diff. |    -2.184 |    0.2097 |    0.1486 |   -0.1446 |
+#> |.....................|   -0.6255 |   -0.7028 |    0.6444 |     1.495 |
+#> |.....................|    -1.416 |    0.3010 |    0.4942 |   -0.5303 |
+#> |   60|     458.10393 |    0.9975 |    -1.438 |   -0.9008 |   -0.8699 |
+#> |.....................|   -0.7837 |   -0.5223 |   -0.7313 |   -0.9641 |
+#> |.....................|    -1.026 |   -0.5908 |   -0.6802 |   -0.7143 |
+#> |    U|     458.10393 |     93.76 |    -5.838 |   -0.9796 |   -0.1745 |
+#> |.....................|     2.165 |     2.329 |     1.282 |    0.6873 |
+#> |.....................|    0.7426 |     1.518 |     1.300 |     1.301 |
+#> |    X|     458.10393 |     93.76 |  0.002916 |    0.2730 |    0.8399 |
+#> |.....................|     8.718 |     2.329 |     1.282 |    0.6873 |
+#> |.....................|    0.7426 |     1.518 |     1.300 |     1.301 |
+#> |    F| Forward Diff. |     2.045 |    0.2119 |    0.1940 |   -0.1305 |
+#> |.....................|   -0.5955 |   -0.7252 |    0.6285 |     1.413 |
+#> |.....................|   -0.2070 |    0.2194 |    0.2208 |   -0.3980 |
+#> |   61|     458.10364 |    0.9971 |    -1.438 |   -0.9008 |   -0.8699 |
+#> |.....................|   -0.7836 |   -0.5222 |   -0.7314 |   -0.9644 |
+#> |.....................|    -1.026 |   -0.5908 |   -0.6803 |   -0.7142 |
+#> |    U|     458.10364 |     93.73 |    -5.838 |   -0.9796 |   -0.1745 |
+#> |.....................|     2.166 |     2.329 |     1.281 |    0.6871 |
+#> |.....................|    0.7427 |     1.518 |     1.300 |     1.301 |
+#> |    X|     458.10364 |     93.73 |  0.002916 |    0.2730 |    0.8399 |
+#> |.....................|     8.719 |     2.329 |     1.281 |    0.6871 |
+#> |.....................|    0.7427 |     1.518 |     1.300 |     1.301 |
+#> |    F| Forward Diff. |    -2.727 |    0.2108 |    0.1771 |   -0.1339 |
+#> |.....................|   -0.6094 |   -0.7304 |    0.6317 |     1.376 |
+#> |.....................|    -1.443 |    0.2644 |    0.2580 |   -0.4629 |
+#> |   62|     458.10286 |    0.9974 |    -1.438 |   -0.9008 |   -0.8699 |
+#> |.....................|   -0.7835 |   -0.5221 |   -0.7316 |   -0.9647 |
+#> |.....................|    -1.026 |   -0.5908 |   -0.6803 |   -0.7141 |
+#> |    U|     458.10286 |     93.75 |    -5.838 |   -0.9796 |   -0.1745 |
+#> |.....................|     2.166 |     2.329 |     1.281 |    0.6869 |
+#> |.....................|    0.7427 |     1.518 |     1.300 |     1.301 |
+#> |    X|     458.10286 |     93.75 |  0.002915 |    0.2730 |    0.8399 |
+#> |.....................|     8.720 |     2.329 |     1.281 |    0.6869 |
+#> |.....................|    0.7427 |     1.518 |     1.300 |     1.301 |
+#> |    F| Forward Diff. |     1.225 |    0.2118 |    0.1898 |   -0.1294 |
+#> |.....................|   -0.5932 |   -0.6493 |    0.6517 |     1.411 |
+#> |.....................|   -0.1402 |    0.3233 |    0.2428 |   -0.3732 |
+#> |   63|     458.10253 |    0.9971 |    -1.438 |   -0.9009 |   -0.8698 |
+#> |.....................|   -0.7834 |   -0.5219 |   -0.7318 |   -0.9650 |
+#> |.....................|    -1.026 |   -0.5909 |   -0.6803 |   -0.7141 |
+#> |    U|     458.10253 |     93.73 |    -5.838 |   -0.9797 |   -0.1745 |
+#> |.....................|     2.166 |     2.329 |     1.281 |    0.6867 |
+#> |.....................|    0.7428 |     1.518 |     1.300 |     1.301 |
+#> |    X|     458.10253 |     93.73 |  0.002915 |    0.2730 |    0.8399 |
+#> |.....................|     8.721 |     2.329 |     1.281 |    0.6867 |
+#> |.....................|    0.7428 |     1.518 |     1.300 |     1.301 |
+#> |    F| Forward Diff. |    -2.449 |    0.2099 |    0.1736 |   -0.1338 |
+#> |.....................|   -0.6049 |   -0.7015 |    0.6330 |     1.384 |
+#> |.....................|   -0.1863 |    0.2615 |    0.2563 |   -0.4532 |
+#> |   64|     458.10167 |    0.9974 |    -1.438 |   -0.9009 |   -0.8698 |
+#> |.....................|   -0.7832 |   -0.5218 |   -0.7320 |   -0.9653 |
+#> |.....................|    -1.026 |   -0.5909 |   -0.6804 |   -0.7140 |
+#> |    U|     458.10167 |     93.76 |    -5.838 |   -0.9797 |   -0.1744 |
+#> |.....................|     2.166 |     2.329 |     1.281 |    0.6864 |
+#> |.....................|    0.7427 |     1.518 |     1.300 |     1.301 |
+#> |    X|     458.10167 |     93.76 |  0.002915 |    0.2729 |    0.8399 |
+#> |.....................|     8.722 |     2.329 |     1.281 |    0.6864 |
+#> |.....................|    0.7427 |     1.518 |     1.300 |     1.301 |
+#> |    F| Forward Diff. |     1.422 |    0.2110 |    0.1849 |   -0.1293 |
+#> |.....................|   -0.5889 |   -0.5964 |    0.6731 |     1.405 |
+#> |.....................|   -0.1535 |    0.3114 |    0.2496 |   -0.4521 |
+#> |   65|     458.10133 |    0.9971 |    -1.438 |   -0.9009 |   -0.8698 |
+#> |.....................|   -0.7831 |   -0.5217 |   -0.7321 |   -0.9657 |
+#> |.....................|    -1.026 |   -0.5909 |   -0.6804 |   -0.7139 |
+#> |    U|     458.10133 |     93.73 |    -5.838 |   -0.9798 |   -0.1744 |
+#> |.....................|     2.166 |     2.329 |     1.281 |    0.6862 |
+#> |.....................|    0.7428 |     1.518 |     1.300 |     1.301 |
+#> |    X|     458.10133 |     93.73 |  0.002915 |    0.2729 |    0.8400 |
+#> |.....................|     8.723 |     2.329 |     1.281 |    0.6862 |
+#> |.....................|    0.7428 |     1.518 |     1.300 |     1.301 |
+#> |    F| Forward Diff. |    -2.461 |    0.2094 |    0.1688 |   -0.1332 |
+#> |.....................|   -0.6003 |   -0.7109 |    0.5914 |     1.349 |
+#> |.....................|    -1.404 |    0.2951 |    0.2552 |   -0.4331 |
+#> |   66|     458.10059 |    0.9974 |    -1.438 |   -0.9009 |   -0.8698 |
+#> |.....................|   -0.7830 |   -0.5215 |   -0.7323 |   -0.9660 |
+#> |.....................|    -1.026 |   -0.5909 |   -0.6804 |   -0.7138 |
+#> |    U|     458.10059 |     93.75 |    -5.838 |   -0.9798 |   -0.1744 |
+#> |.....................|     2.166 |     2.330 |     1.281 |    0.6860 |
+#> |.....................|    0.7428 |     1.518 |     1.300 |     1.302 |
+#> |    X|     458.10059 |     93.75 |  0.002915 |    0.2729 |    0.8400 |
+#> |.....................|     8.724 |     2.330 |     1.281 |    0.6860 |
+#> |.....................|    0.7428 |     1.518 |     1.300 |     1.302 |
+#> |    F| Forward Diff. |     1.228 |    0.2101 |    0.1802 |   -0.1294 |
+#> |.....................|   -0.5857 |   -0.2287 |    0.9339 |     1.558 |
+#> |.....................|    -1.376 |    0.3488 |    0.2665 |   -0.4324 |
+#> |   67|     458.10050 |    0.9972 |    -1.438 |   -0.9010 |   -0.8697 |
+#> |.....................|   -0.7829 |   -0.5215 |   -0.7325 |   -0.9663 |
+#> |.....................|    -1.025 |   -0.5910 |   -0.6804 |   -0.7137 |
+#> |    U|      458.1005 |     93.73 |    -5.838 |   -0.9798 |   -0.1744 |
+#> |.....................|     2.166 |     2.330 |     1.281 |    0.6857 |
+#> |.....................|    0.7430 |     1.518 |     1.300 |     1.302 |
+#> |    X|      458.1005 |     93.73 |  0.002915 |    0.2729 |    0.8400 |
+#> |.....................|     8.725 |     2.330 |     1.281 |    0.6857 |
+#> |.....................|    0.7430 |     1.518 |     1.300 |     1.302 |
+#> |    C| Central Diff. |    -2.045 |    0.2058 |    0.1327 |   -0.1461 |
+#> |.....................|   -0.6105 |   -0.6040 |    0.6130 |    0.9518 |
+#> |.....................|   0.01902 |    0.3702 |    0.4676 |   -0.4886 |
+#> |   68|     458.10013 |    0.9974 |    -1.438 |   -0.9010 |   -0.8697 |
+#> |.....................|   -0.7829 |   -0.5214 |   -0.7325 |   -0.9664 |
+#> |.....................|    -1.025 |   -0.5910 |   -0.6805 |   -0.7136 |
+#> |    U|     458.10013 |     93.75 |    -5.838 |   -0.9798 |   -0.1744 |
+#> |.....................|     2.166 |     2.330 |     1.281 |    0.6857 |
+#> |.....................|    0.7430 |     1.518 |     1.300 |     1.302 |
+#> |    X|     458.10013 |     93.75 |  0.002914 |    0.2729 |    0.8400 |
+#> |.....................|     8.725 |     2.330 |     1.281 |    0.6857 |
+#> |.....................|    0.7430 |     1.518 |     1.300 |     1.302 |
+#> |    F| Forward Diff. |    0.8557 |    0.2088 |    0.1747 |   -0.1300 |
+#> |.....................|   -0.5847 |   -0.2393 |    0.9114 |     1.536 |
+#> |.....................|    -1.367 |    0.3016 |    0.2557 |   -0.4123 |
+#> |   69|     458.10002 |    0.9973 |    -1.438 |   -0.9010 |   -0.8697 |
+#> |.....................|   -0.7828 |   -0.5214 |   -0.7326 |   -0.9665 |
+#> |.....................|    -1.025 |   -0.5911 |   -0.6805 |   -0.7136 |
+#> |    U|     458.10002 |     93.74 |    -5.838 |   -0.9798 |   -0.1744 |
+#> |.....................|     2.166 |     2.330 |     1.281 |    0.6856 |
+#> |.....................|    0.7432 |     1.518 |     1.300 |     1.302 |
+#> |    X|     458.10002 |     93.74 |  0.002914 |    0.2729 |    0.8400 |
+#> |.....................|     8.726 |     2.330 |     1.281 |    0.6856 |
+#> |.....................|    0.7432 |     1.518 |     1.300 |     1.302 |
+#> |    C| Central Diff. |   -0.5131 |    0.2058 |    0.1358 |   -0.1441 |
+#> |.....................|   -0.6029 |   -0.6262 |    0.5998 |     1.158 |
+#> |.....................|    -1.373 |    0.3470 |    0.4566 |   -0.4872 |
+#> |   70|     458.09992 |    0.9973 |    -1.438 |   -0.9010 |   -0.8697 |
+#> |.....................|   -0.7827 |   -0.5214 |   -0.7327 |   -0.9666 |
+#> |.....................|    -1.025 |   -0.5911 |   -0.6806 |   -0.7135 |
+#> |    U|     458.09992 |     93.75 |    -5.838 |   -0.9799 |   -0.1743 |
+#> |.....................|     2.166 |     2.330 |     1.281 |    0.6855 |
+#> |.....................|    0.7433 |     1.518 |     1.300 |     1.302 |
+#> |    X|     458.09992 |     93.75 |  0.002914 |    0.2729 |    0.8400 |
+#> |.....................|     8.726 |     2.330 |     1.281 |    0.6855 |
+#> |.....................|    0.7433 |     1.518 |     1.300 |     1.302 |
+#> |    C| Central Diff. |    0.2584 |    0.2056 |    0.1371 |   -0.1438 |
+#> |.....................|   -0.5991 |   -0.6198 |    0.6082 |    0.9676 |
+#> |.....................|     1.295 |    0.3221 |    0.4533 |   -0.4750 |
+#> |   71|     458.09944 |    0.9973 |    -1.438 |   -0.9010 |   -0.8697 |
+#> |.....................|   -0.7827 |   -0.5213 |   -0.7328 |   -0.9668 |
+#> |.....................|    -1.025 |   -0.5911 |   -0.6806 |   -0.7135 |
+#> |    U|     458.09944 |     93.75 |    -5.838 |   -0.9799 |   -0.1743 |
+#> |.....................|     2.166 |     2.330 |     1.281 |    0.6854 |
+#> |.....................|    0.7431 |     1.518 |     1.300 |     1.302 |
+#> |    X|     458.09944 |     93.75 |  0.002914 |    0.2729 |    0.8400 |
+#> |.....................|     8.727 |     2.330 |     1.281 |    0.6854 |
+#> |.....................|    0.7431 |     1.518 |     1.300 |     1.302 |
+#> |   72|     458.09825 |    0.9974 |    -1.438 |   -0.9011 |   -0.8697 |
+#> |.....................|   -0.7824 |   -0.5210 |   -0.7332 |   -0.9672 |
+#> |.....................|    -1.025 |   -0.5911 |   -0.6808 |   -0.7131 |
+#> |    U|     458.09825 |     93.76 |    -5.838 |   -0.9799 |   -0.1743 |
+#> |.....................|     2.167 |     2.330 |     1.280 |    0.6851 |
+#> |.....................|    0.7430 |     1.518 |     1.299 |     1.302 |
+#> |    X|     458.09825 |     93.76 |  0.002914 |    0.2729 |    0.8401 |
+#> |.....................|     8.729 |     2.330 |     1.280 |    0.6851 |
+#> |.....................|    0.7430 |     1.518 |     1.299 |     1.302 |
+#> |   73|     458.09793 |    0.9981 |    -1.438 |   -0.9013 |   -0.8695 |
+#> |.....................|   -0.7815 |   -0.5202 |   -0.7349 |   -0.9686 |
+#> |.....................|    -1.026 |   -0.5909 |   -0.6812 |   -0.7117 |
+#> |    U|     458.09793 |     93.82 |    -5.838 |   -0.9801 |   -0.1741 |
+#> |.....................|     2.168 |     2.331 |     1.279 |    0.6840 |
+#> |.....................|    0.7428 |     1.518 |     1.299 |     1.304 |
+#> |    X|     458.09793 |     93.82 |  0.002913 |    0.2729 |    0.8402 |
+#> |.....................|     8.737 |     2.331 |     1.279 |    0.6840 |
+#> |.....................|    0.7428 |     1.518 |     1.299 |     1.304 |
+#> |    F| Forward Diff. |     10.76 |    0.2116 |    0.1923 |   -0.1162 |
+#> |.....................|   -0.5255 |   -0.5796 |    0.3777 |     1.210 |
+#> |.....................|    -1.409 |    0.2855 |    0.1875 |   -0.3085 |
+#> |   74|     458.08987 |    0.9971 |    -1.438 |   -0.9013 |   -0.8695 |
+#> |.....................|   -0.7808 |   -0.5187 |   -0.7369 |   -0.9692 |
+#> |.....................|    -1.026 |   -0.5907 |   -0.6832 |   -0.7095 |
+#> |    U|     458.08987 |     93.72 |    -5.838 |   -0.9802 |   -0.1741 |
+#> |.....................|     2.168 |     2.332 |     1.278 |    0.6836 |
+#> |.....................|    0.7427 |     1.518 |     1.297 |     1.306 |
+#> |    X|     458.08987 |     93.72 |  0.002914 |    0.2729 |    0.8402 |
+#> |.....................|     8.743 |     2.332 |     1.278 |    0.6836 |
+#> |.....................|    0.7427 |     1.518 |     1.297 |     1.306 |
+#> |    F| Forward Diff. |    -2.512 |    0.2078 |    0.1434 |   -0.1372 |
+#> |.....................|   -0.5667 |   -0.8061 |    0.1467 |     1.033 |
+#> |.....................|     1.202 |   -0.4065 |   0.09417 |   -0.1935 |
+#> |   75|     458.08564 |    0.9973 |    -1.438 |   -0.9016 |   -0.8695 |
+#> |.....................|   -0.7801 |   -0.5170 |   -0.7384 |   -0.9704 |
+#> |.....................|    -1.026 |   -0.5898 |   -0.6859 |   -0.7082 |
+#> |    U|     458.08564 |     93.74 |    -5.838 |   -0.9804 |   -0.1741 |
+#> |.....................|     2.169 |     2.334 |     1.277 |    0.6827 |
+#> |.....................|    0.7424 |     1.519 |     1.294 |     1.308 |
+#> |    X|     458.08564 |     93.74 |  0.002914 |    0.2728 |    0.8402 |
+#> |.....................|     8.749 |     2.334 |     1.277 |    0.6827 |
+#> |.....................|    0.7424 |     1.519 |     1.294 |     1.308 |
+#> |   76|     458.08078 |    0.9972 |    -1.438 |   -0.9021 |   -0.8695 |
+#> |.....................|   -0.7788 |   -0.5136 |   -0.7416 |   -0.9727 |
+#> |.....................|    -1.027 |   -0.5879 |   -0.6916 |   -0.7053 |
+#> |    U|     458.08078 |     93.73 |    -5.838 |   -0.9809 |   -0.1742 |
+#> |.....................|     2.170 |     2.338 |     1.275 |    0.6809 |
+#> |.....................|    0.7420 |     1.522 |     1.288 |     1.311 |
+#> |    X|     458.08078 |     93.73 |  0.002915 |    0.2727 |    0.8402 |
+#> |.....................|     8.761 |     2.338 |     1.275 |    0.6809 |
+#> |.....................|    0.7420 |     1.522 |     1.288 |     1.311 |
+#> |    F| Forward Diff. |   -0.8456 |    0.2109 |    0.1052 |   -0.1453 |
+#> |.....................|   -0.5381 |   -0.2225 |   -0.1274 |    0.8336 |
+#> |.....................|   -0.2653 |    0.4698 |   -0.4321 |   0.07917 |
+#> |   77|     458.08109 |    0.9983 |    -1.445 |   -0.9066 |   -0.8702 |
+#> |.....................|   -0.7727 |   -0.5143 |   -0.7362 |   -0.9770 |
+#> |.....................|    -1.027 |   -0.5885 |   -0.6915 |   -0.7058 |
+#> |    U|     458.08109 |     93.84 |    -5.845 |   -0.9853 |   -0.1748 |
+#> |.....................|     2.176 |     2.337 |     1.279 |    0.6777 |
+#> |.....................|    0.7418 |     1.521 |     1.288 |     1.310 |
+#> |    X|     458.08109 |     93.84 |  0.002894 |    0.2718 |    0.8396 |
+#> |.....................|     8.815 |     2.337 |     1.279 |    0.6777 |
+#> |.....................|    0.7418 |     1.521 |     1.288 |     1.310 |
+#> |   78|     458.08775 |    0.9985 |    -1.441 |   -0.9040 |   -0.8696 |
+#> |.....................|   -0.7757 |   -0.5136 |   -0.7393 |   -0.9753 |
+#> |.....................|    -1.026 |   -0.5887 |   -0.6911 |   -0.7056 |
+#> |    U|     458.08775 |     93.86 |    -5.841 |   -0.9828 |   -0.1743 |
+#> |.....................|     2.173 |     2.338 |     1.277 |    0.6789 |
+#> |.....................|    0.7421 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08775 |     93.86 |  0.002906 |    0.2723 |    0.8401 |
+#> |.....................|     8.788 |     2.338 |     1.277 |    0.6789 |
+#> |.....................|    0.7421 |     1.521 |     1.288 |     1.311 |
+#> |   79|     458.08407 |    0.9980 |    -1.438 |   -0.9022 |   -0.8694 |
+#> |.....................|   -0.7783 |   -0.5133 |   -0.7415 |   -0.9736 |
+#> |.....................|    -1.026 |   -0.5884 |   -0.6912 |   -0.7054 |
+#> |    U|     458.08407 |     93.81 |    -5.838 |   -0.9810 |   -0.1740 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6802 |
+#> |.....................|    0.7422 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08407 |     93.81 |  0.002915 |    0.2727 |    0.8403 |
+#> |.....................|     8.766 |     2.338 |     1.275 |    0.6802 |
+#> |.....................|    0.7422 |     1.521 |     1.288 |     1.311 |
+#> |   80|     458.08069 |    0.9973 |    -1.438 |   -0.9021 |   -0.8695 |
+#> |.....................|   -0.7787 |   -0.5135 |   -0.7416 |   -0.9729 |
+#> |.....................|    -1.026 |   -0.5880 |   -0.6915 |   -0.7053 |
+#> |    U|     458.08069 |     93.75 |    -5.838 |   -0.9809 |   -0.1741 |
+#> |.....................|     2.170 |     2.338 |     1.275 |    0.6807 |
+#> |.....................|    0.7420 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08069 |     93.75 |  0.002915 |    0.2727 |    0.8402 |
+#> |.....................|     8.762 |     2.338 |     1.275 |    0.6807 |
+#> |.....................|    0.7420 |     1.521 |     1.288 |     1.311 |
+#> |    F| Forward Diff. |     1.424 |    0.2112 |    0.1114 |   -0.1426 |
+#> |.....................|   -0.5267 |   -0.3290 |  -0.02249 |    0.9218 |
+#> |.....................|    -1.516 |    0.4273 |   -0.4325 |   0.09748 |
+#> |   81|     458.08076 |    0.9972 |    -1.438 |   -0.9021 |   -0.8695 |
+#> |.....................|   -0.7786 |   -0.5134 |   -0.7416 |   -0.9730 |
+#> |.....................|    -1.026 |   -0.5880 |   -0.6914 |   -0.7055 |
+#> |    U|     458.08076 |     93.74 |    -5.838 |   -0.9810 |   -0.1741 |
+#> |.....................|     2.170 |     2.338 |     1.275 |    0.6807 |
+#> |.....................|    0.7421 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08076 |     93.74 |  0.002915 |    0.2727 |    0.8402 |
+#> |.....................|     8.763 |     2.338 |     1.275 |    0.6807 |
+#> |.....................|    0.7421 |     1.521 |     1.288 |     1.311 |
+#> |   82|     458.08078 |    0.9973 |    -1.438 |   -0.9021 |   -0.8695 |
+#> |.....................|   -0.7787 |   -0.5135 |   -0.7416 |   -0.9730 |
+#> |.....................|    -1.026 |   -0.5880 |   -0.6915 |   -0.7053 |
+#> |    U|     458.08078 |     93.74 |    -5.838 |   -0.9809 |   -0.1741 |
+#> |.....................|     2.170 |     2.338 |     1.275 |    0.6807 |
+#> |.....................|    0.7421 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08078 |     93.74 |  0.002915 |    0.2727 |    0.8402 |
+#> |.....................|     8.762 |     2.338 |     1.275 |    0.6807 |
+#> |.....................|    0.7421 |     1.521 |     1.288 |     1.311 |
+#> |   83|     458.08068 |    0.9973 |    -1.438 |   -0.9021 |   -0.8695 |
+#> |.....................|   -0.7787 |   -0.5135 |   -0.7416 |   -0.9729 |
+#> |.....................|    -1.026 |   -0.5880 |   -0.6915 |   -0.7053 |
+#> |    U|     458.08068 |     93.75 |    -5.838 |   -0.9809 |   -0.1741 |
+#> |.....................|     2.170 |     2.338 |     1.275 |    0.6807 |
+#> |.....................|    0.7420 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08068 |     93.75 |  0.002915 |    0.2727 |    0.8402 |
+#> |.....................|     8.762 |     2.338 |     1.275 |    0.6807 |
+#> |.....................|    0.7420 |     1.521 |     1.288 |     1.311 |
+#> |    C| Central Diff. |    0.7458 |    0.2086 |   0.07146 |   -0.1568 |
+#> |.....................|   -0.5453 |   -0.1723 |    0.1066 |    0.6006 |
+#> |.....................|  -0.05957 |    0.1717 |   -0.3314 |   0.06442 |
+#> |   84|     458.08065 |    0.9973 |    -1.438 |   -0.9021 |   -0.8695 |
+#> |.....................|   -0.7787 |   -0.5135 |   -0.7416 |   -0.9729 |
+#> |.....................|    -1.026 |   -0.5880 |   -0.6915 |   -0.7053 |
+#> |    U|     458.08065 |     93.74 |    -5.838 |   -0.9809 |   -0.1741 |
+#> |.....................|     2.170 |     2.338 |     1.275 |    0.6807 |
+#> |.....................|    0.7420 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08065 |     93.74 |  0.002915 |    0.2727 |    0.8402 |
+#> |.....................|     8.762 |     2.338 |     1.275 |    0.6807 |
+#> |.....................|    0.7420 |     1.521 |     1.288 |     1.311 |
+#> |    C| Central Diff. |    0.5271 |    0.2085 |   0.07055 |   -0.1570 |
+#> |.....................|   -0.5454 |   -0.3138 |   0.09492 |    0.7765 |
+#> |.....................|     1.192 |    0.4934 |   -0.3382 |    0.1071 |
+#> |   85|     458.08062 |    0.9973 |    -1.438 |   -0.9021 |   -0.8695 |
+#> |.....................|   -0.7786 |   -0.5135 |   -0.7416 |   -0.9730 |
+#> |.....................|    -1.026 |   -0.5880 |   -0.6915 |   -0.7054 |
+#> |    U|     458.08062 |     93.74 |    -5.838 |   -0.9809 |   -0.1741 |
+#> |.....................|     2.170 |     2.338 |     1.275 |    0.6807 |
+#> |.....................|    0.7420 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08062 |     93.74 |  0.002915 |    0.2727 |    0.8402 |
+#> |.....................|     8.762 |     2.338 |     1.275 |    0.6807 |
+#> |.....................|    0.7420 |     1.521 |     1.288 |     1.311 |
+#> |    C| Central Diff. |    0.1077 |    0.2083 |   0.06880 |   -0.1572 |
+#> |.....................|   -0.5469 |   -0.1727 |    0.1219 |    0.9565 |
+#> |.....................|    -1.457 |    0.5128 |   -0.3399 |    0.1022 |
+#> |   86|     458.08061 |    0.9972 |    -1.438 |   -0.9021 |   -0.8695 |
+#> |.....................|   -0.7786 |   -0.5135 |   -0.7416 |   -0.9730 |
+#> |.....................|    -1.026 |   -0.5881 |   -0.6914 |   -0.7054 |
+#> |    U|     458.08061 |     93.74 |    -5.838 |   -0.9809 |   -0.1741 |
+#> |.....................|     2.170 |     2.338 |     1.275 |    0.6807 |
+#> |.....................|    0.7421 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08061 |     93.74 |  0.002915 |    0.2727 |    0.8402 |
+#> |.....................|     8.763 |     2.338 |     1.275 |    0.6807 |
+#> |.....................|    0.7421 |     1.521 |     1.288 |     1.311 |
+#> |    C| Central Diff. |   -0.6930 |    0.2078 |   0.06712 |   -0.1577 |
+#> |.....................|   -0.5484 |   -0.1767 |    0.1148 |    0.9863 |
+#> |.....................|   -0.2038 |    0.5855 |   -0.3296 |    0.1002 |
+#> |   87|     458.08058 |    0.9972 |    -1.438 |   -0.9021 |   -0.8695 |
+#> |.....................|   -0.7786 |   -0.5135 |   -0.7416 |   -0.9731 |
+#> |.....................|    -1.026 |   -0.5881 |   -0.6914 |   -0.7054 |
+#> |    U|     458.08058 |     93.74 |    -5.838 |   -0.9809 |   -0.1741 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6806 |
+#> |.....................|    0.7421 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08058 |     93.74 |  0.002915 |    0.2727 |    0.8402 |
+#> |.....................|     8.763 |     2.338 |     1.275 |    0.6806 |
+#> |.....................|    0.7421 |     1.521 |     1.288 |     1.311 |
+#> |    C| Central Diff. |   -0.3701 |    0.2079 |   0.06808 |   -0.1573 |
+#> |.....................|   -0.5470 |   -0.1729 |  0.005725 |    0.9526 |
+#> |.....................|    -1.465 |    0.5101 |   -0.1466 |  -0.02770 |
+#> |   88|     458.08052 |    0.9973 |    -1.438 |   -0.9021 |   -0.8695 |
+#> |.....................|   -0.7785 |   -0.5135 |   -0.7416 |   -0.9731 |
+#> |.....................|    -1.026 |   -0.5881 |   -0.6914 |   -0.7053 |
+#> |    U|     458.08052 |     93.74 |    -5.838 |   -0.9809 |   -0.1741 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6806 |
+#> |.....................|    0.7421 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08052 |     93.74 |  0.002915 |    0.2727 |    0.8402 |
+#> |.....................|     8.763 |     2.338 |     1.275 |    0.6806 |
+#> |.....................|    0.7421 |     1.521 |     1.288 |     1.311 |
+#> |    C| Central Diff. |    0.2062 |    0.2080 |   0.06837 |   -0.1566 |
+#> |.....................|   -0.5439 |   -0.1704 |   0.09858 |    0.5928 |
+#> |.....................|  -0.05984 |    0.5131 |   -0.3447 |   0.06046 |
+#> |   89|     458.08047 |    0.9972 |    -1.438 |   -0.9021 |   -0.8694 |
+#> |.....................|   -0.7785 |   -0.5134 |   -0.7416 |   -0.9732 |
+#> |.....................|    -1.026 |   -0.5882 |   -0.6914 |   -0.7054 |
+#> |    U|     458.08047 |     93.74 |    -5.838 |   -0.9809 |   -0.1741 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6805 |
+#> |.....................|    0.7421 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08047 |     93.74 |  0.002915 |    0.2727 |    0.8402 |
+#> |.....................|     8.764 |     2.338 |     1.275 |    0.6805 |
+#> |.....................|    0.7421 |     1.521 |     1.288 |     1.311 |
+#> |    C| Central Diff. |  -0.06148 |    0.2077 |   0.06828 |   -0.1566 |
+#> |.....................|   -0.5434 |   -0.1748 |    0.1045 |    0.7316 |
+#> |.....................|   -0.7607 |    0.4924 |   -0.3350 |    0.1046 |
+#> |   90|     458.08041 |    0.9972 |    -1.438 |   -0.9021 |   -0.8694 |
+#> |.....................|   -0.7784 |   -0.5134 |   -0.7417 |   -0.9733 |
+#> |.....................|    -1.026 |   -0.5883 |   -0.6913 |   -0.7054 |
+#> |    U|     458.08041 |     93.74 |    -5.838 |   -0.9810 |   -0.1740 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6804 |
+#> |.....................|    0.7421 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08041 |     93.74 |  0.002915 |    0.2727 |    0.8403 |
+#> |.....................|     8.765 |     2.338 |     1.275 |    0.6804 |
+#> |.....................|    0.7421 |     1.521 |     1.288 |     1.311 |
+#> |    C| Central Diff. |   -0.5076 |    0.2073 |   0.06528 |   -0.1564 |
+#> |.....................|   -0.5454 |   -0.1802 |    0.1061 |    0.9740 |
+#> |.....................|   -0.1992 |    0.5430 |   -0.2714 |    0.1031 |
+#> |   91|     458.08026 |    0.9972 |    -1.438 |   -0.9022 |   -0.8694 |
+#> |.....................|   -0.7782 |   -0.5133 |   -0.7417 |   -0.9736 |
+#> |.....................|    -1.026 |   -0.5884 |   -0.6912 |   -0.7055 |
+#> |    U|     458.08026 |     93.74 |    -5.838 |   -0.9810 |   -0.1740 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6802 |
+#> |.....................|    0.7422 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08026 |     93.74 |  0.002914 |    0.2727 |    0.8403 |
+#> |.....................|     8.766 |     2.338 |     1.275 |    0.6802 |
+#> |.....................|    0.7422 |     1.521 |     1.288 |     1.311 |
+#> |    C| Central Diff. |   -0.3779 |    0.2092 |   0.07455 |   -0.1547 |
+#> |.....................|   -0.5349 |    0.4172 |   -0.5362 |    0.7903 |
+#> |.....................|    -1.451 |    0.5182 |   -0.2163 |   -0.4361 |
+#> |   92|     458.08039 |    0.9975 |    -1.438 |   -0.9022 |   -0.8693 |
+#> |.....................|   -0.7778 |   -0.5133 |   -0.7416 |   -0.9742 |
+#> |.....................|    -1.026 |   -0.5887 |   -0.6910 |   -0.7056 |
+#> |    U|     458.08039 |     93.76 |    -5.838 |   -0.9811 |   -0.1739 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6798 |
+#> |.....................|    0.7424 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08039 |     93.76 |  0.002914 |    0.2727 |    0.8404 |
+#> |.....................|     8.769 |     2.338 |     1.275 |    0.6798 |
+#> |.....................|    0.7424 |     1.521 |     1.288 |     1.311 |
+#> |   93|     458.08025 |    0.9973 |    -1.438 |   -0.9022 |   -0.8693 |
+#> |.....................|   -0.7780 |   -0.5133 |   -0.7416 |   -0.9739 |
+#> |.....................|    -1.026 |   -0.5886 |   -0.6911 |   -0.7055 |
+#> |    U|     458.08025 |     93.75 |    -5.838 |   -0.9810 |   -0.1739 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08025 |     93.75 |  0.002914 |    0.2727 |    0.8403 |
+#> |.....................|     8.768 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |    C| Central Diff. |     1.019 |    0.2066 |   0.06601 |   -0.1530 |
+#> |.....................|   -0.5270 |   -0.1637 |    0.1163 |    0.9184 |
+#> |.....................|    -1.439 |    0.4715 |   -0.2217 |   0.03756 |
+#> |   94|     458.08029 |    0.9972 |    -1.438 |   -0.9022 |   -0.8693 |
+#> |.....................|   -0.7780 |   -0.5133 |   -0.7416 |   -0.9739 |
+#> |.....................|    -1.026 |   -0.5886 |   -0.6911 |   -0.7055 |
+#> |    U|     458.08029 |     93.74 |    -5.838 |   -0.9810 |   -0.1739 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7424 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08029 |     93.74 |  0.002914 |    0.2727 |    0.8404 |
+#> |.....................|     8.768 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7424 |     1.521 |     1.288 |     1.311 |
+#> |   95|     458.08025 |    0.9973 |    -1.438 |   -0.9022 |   -0.8693 |
+#> |.....................|   -0.7780 |   -0.5133 |   -0.7416 |   -0.9739 |
+#> |.....................|    -1.026 |   -0.5886 |   -0.6911 |   -0.7055 |
+#> |    U|     458.08025 |     93.74 |    -5.838 |   -0.9810 |   -0.1739 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7424 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08025 |     93.74 |  0.002914 |    0.2727 |    0.8404 |
+#> |.....................|     8.768 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7424 |     1.521 |     1.288 |     1.311 |
+#> |   96|     458.08029 |    0.9973 |    -1.438 |   -0.9022 |   -0.8693 |
+#> |.....................|   -0.7780 |   -0.5133 |   -0.7416 |   -0.9739 |
+#> |.....................|    -1.026 |   -0.5886 |   -0.6911 |   -0.7055 |
+#> |    U|     458.08029 |     93.75 |    -5.838 |   -0.9810 |   -0.1739 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08029 |     93.75 |  0.002914 |    0.2727 |    0.8403 |
+#> |.....................|     8.768 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |   97|     458.08024 |    0.9973 |    -1.438 |   -0.9022 |   -0.8693 |
+#> |.....................|   -0.7780 |   -0.5133 |   -0.7416 |   -0.9739 |
+#> |.....................|    -1.026 |   -0.5886 |   -0.6911 |   -0.7055 |
+#> |    U|     458.08024 |     93.75 |    -5.838 |   -0.9810 |   -0.1739 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08024 |     93.75 |  0.002914 |    0.2727 |    0.8403 |
+#> |.....................|     8.768 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |    C| Central Diff. |    0.9275 |    0.2065 |   0.06562 |   -0.1530 |
+#> |.....................|   -0.5278 |   -0.1682 |    0.1168 |    0.9523 |
+#> |.....................|   -0.1838 |    0.4888 |   -0.3154 |   0.09539 |
+#> |   98|     458.08024 |    0.9973 |    -1.438 |   -0.9022 |   -0.8693 |
+#> |.....................|   -0.7780 |   -0.5133 |   -0.7416 |   -0.9739 |
+#> |.....................|    -1.026 |   -0.5886 |   -0.6911 |   -0.7055 |
+#> |    U|     458.08024 |     93.75 |    -5.838 |   -0.9810 |   -0.1739 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08024 |     93.75 |  0.002914 |    0.2727 |    0.8403 |
+#> |.....................|     8.768 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |    C| Central Diff. |    0.8715 |    0.2065 |   0.06540 |   -0.1531 |
+#> |.....................|   -0.5308 |  -0.07756 |    0.1164 |    0.5595 |
+#> |.....................|  -0.04465 |   -0.2577 |   -0.3240 |    0.1066 |
+#> |   99|     458.08023 |    0.9973 |    -1.438 |   -0.9022 |   -0.8693 |
+#> |.....................|   -0.7780 |   -0.5133 |   -0.7416 |   -0.9739 |
+#> |.....................|    -1.026 |   -0.5886 |   -0.6911 |   -0.7055 |
+#> |    U|     458.08023 |     93.75 |    -5.838 |   -0.9810 |   -0.1739 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08023 |     93.75 |  0.002914 |    0.2727 |    0.8403 |
+#> |.....................|     8.768 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |  100|     458.08013 |    0.9973 |    -1.438 |   -0.9022 |   -0.8693 |
+#> |.....................|   -0.7780 |   -0.5133 |   -0.7416 |   -0.9739 |
+#> |.....................|    -1.026 |   -0.5886 |   -0.6911 |   -0.7055 |
+#> |    U|     458.08013 |     93.75 |    -5.838 |   -0.9810 |   -0.1739 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08013 |     93.75 |  0.002914 |    0.2727 |    0.8403 |
+#> |.....................|     8.768 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |    C| Central Diff. |    0.7255 |    0.2064 |   0.06482 |   -0.1531 |
+#> |.....................|   -0.5283 |   -0.1617 |    0.1081 |    0.9192 |
+#> |.....................|    -1.441 |    0.4906 |   -0.2900 |    0.1161 |
+#> |  101|     458.08017 |    0.9973 |    -1.438 |   -0.9022 |   -0.8693 |
+#> |.....................|   -0.7780 |   -0.5133 |   -0.7416 |   -0.9739 |
+#> |.....................|    -1.026 |   -0.5885 |   -0.6911 |   -0.7055 |
+#> |    U|     458.08017 |     93.74 |    -5.838 |   -0.9810 |   -0.1739 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08017 |     93.74 |  0.002914 |    0.2727 |    0.8404 |
+#> |.....................|     8.768 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |  102|     458.08021 |    0.9973 |    -1.438 |   -0.9022 |   -0.8693 |
+#> |.....................|   -0.7780 |   -0.5133 |   -0.7416 |   -0.9739 |
+#> |.....................|    -1.026 |   -0.5886 |   -0.6911 |   -0.7055 |
+#> |    U|     458.08021 |     93.74 |    -5.838 |   -0.9810 |   -0.1739 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08021 |     93.74 |  0.002914 |    0.2727 |    0.8404 |
+#> |.....................|     8.768 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |  103|     458.08029 |    0.9973 |    -1.438 |   -0.9022 |   -0.8693 |
+#> |.....................|   -0.7780 |   -0.5133 |   -0.7416 |   -0.9739 |
+#> |.....................|    -1.026 |   -0.5886 |   -0.6911 |   -0.7055 |
+#> |    U|     458.08029 |     93.75 |    -5.838 |   -0.9810 |   -0.1739 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08029 |     93.75 |  0.002914 |    0.2727 |    0.8404 |
+#> |.....................|     8.768 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |  104|     458.08032 |    0.9973 |    -1.438 |   -0.9022 |   -0.8693 |
+#> |.....................|   -0.7780 |   -0.5133 |   -0.7416 |   -0.9739 |
+#> |.....................|    -1.026 |   -0.5886 |   -0.6911 |   -0.7055 |
+#> |    U|     458.08032 |     93.75 |    -5.838 |   -0.9810 |   -0.1739 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08032 |     93.75 |  0.002914 |    0.2727 |    0.8403 |
+#> |.....................|     8.768 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |  105|     458.08033 |    0.9973 |    -1.438 |   -0.9022 |   -0.8693 |
+#> |.....................|   -0.7780 |   -0.5133 |   -0.7416 |   -0.9739 |
+#> |.....................|    -1.026 |   -0.5886 |   -0.6911 |   -0.7055 |
+#> |    U|     458.08033 |     93.75 |    -5.838 |   -0.9810 |   -0.1739 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08033 |     93.75 |  0.002914 |    0.2727 |    0.8403 |
+#> |.....................|     8.768 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |  106|     458.08032 |    0.9973 |    -1.438 |   -0.9022 |   -0.8693 |
+#> |.....................|   -0.7780 |   -0.5133 |   -0.7416 |   -0.9739 |
+#> |.....................|    -1.026 |   -0.5886 |   -0.6911 |   -0.7055 |
+#> |    U|     458.08032 |     93.75 |    -5.838 |   -0.9810 |   -0.1739 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08032 |     93.75 |  0.002914 |    0.2727 |    0.8403 |
+#> |.....................|     8.768 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |  107|     458.08032 |    0.9973 |    -1.438 |   -0.9022 |   -0.8693 |
+#> |.....................|   -0.7780 |   -0.5133 |   -0.7416 |   -0.9739 |
+#> |.....................|    -1.026 |   -0.5886 |   -0.6911 |   -0.7055 |
+#> |    U|     458.08032 |     93.75 |    -5.838 |   -0.9810 |   -0.1739 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08032 |     93.75 |  0.002914 |    0.2727 |    0.8403 |
+#> |.....................|     8.768 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |  108|     458.08032 |    0.9973 |    -1.438 |   -0.9022 |   -0.8693 |
+#> |.....................|   -0.7780 |   -0.5133 |   -0.7416 |   -0.9739 |
+#> |.....................|    -1.026 |   -0.5886 |   -0.6911 |   -0.7055 |
+#> |    U|     458.08032 |     93.75 |    -5.838 |   -0.9810 |   -0.1739 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08032 |     93.75 |  0.002914 |    0.2727 |    0.8403 |
+#> |.....................|     8.768 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |  109|     458.08032 |    0.9973 |    -1.438 |   -0.9022 |   -0.8693 |
+#> |.....................|   -0.7780 |   -0.5133 |   -0.7416 |   -0.9739 |
+#> |.....................|    -1.026 |   -0.5886 |   -0.6911 |   -0.7055 |
+#> |    U|     458.08032 |     93.75 |    -5.838 |   -0.9810 |   -0.1739 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08032 |     93.75 |  0.002914 |    0.2727 |    0.8403 |
+#> |.....................|     8.768 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |  110|     458.08032 |    0.9973 |    -1.438 |   -0.9022 |   -0.8693 |
+#> |.....................|   -0.7780 |   -0.5133 |   -0.7416 |   -0.9739 |
+#> |.....................|    -1.026 |   -0.5886 |   -0.6911 |   -0.7055 |
+#> |    U|     458.08032 |     93.75 |    -5.838 |   -0.9810 |   -0.1739 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08032 |     93.75 |  0.002914 |    0.2727 |    0.8403 |
+#> |.....................|     8.768 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |  111|     458.08032 |    0.9973 |    -1.438 |   -0.9022 |   -0.8693 |
+#> |.....................|   -0.7780 |   -0.5133 |   -0.7416 |   -0.9739 |
+#> |.....................|    -1.026 |   -0.5886 |   -0.6911 |   -0.7055 |
+#> |    U|     458.08032 |     93.75 |    -5.838 |   -0.9810 |   -0.1739 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08032 |     93.75 |  0.002914 |    0.2727 |    0.8403 |
+#> |.....................|     8.768 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |  112|     458.08032 |    0.9973 |    -1.438 |   -0.9022 |   -0.8693 |
+#> |.....................|   -0.7780 |   -0.5133 |   -0.7416 |   -0.9739 |
+#> |.....................|    -1.026 |   -0.5886 |   -0.6911 |   -0.7055 |
+#> |    U|     458.08032 |     93.75 |    -5.838 |   -0.9810 |   -0.1739 |
+#> |.....................|     2.171 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> |    X|     458.08032 |     93.75 |  0.002914 |    0.2727 |    0.8403 |
+#> |.....................|     8.768 |     2.338 |     1.275 |    0.6800 |
+#> |.....................|    0.7423 |     1.521 |     1.288 |     1.311 |
+#> calculating covariance matrix
+#> done
+#> Calculating residuals/tables
+#> done
+#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))
+#> Warning: ETAs were reset to zero during optimization; (Can control by foceiControl(resetEtaP=.))
+#> Warning: last objective function was not at minimum, possible problems in optimization
+#> Warning: gradient problems with initial estimate and covariance; see $scaleInfo
+f_nlmixr_dfop_sfo_saem_obs <- nlmixr(f_mmkin_obs["DFOP-SFO", ], est = "saem")
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#>  
+#> → generate SAEM model
+#> ✔ done
+#> 1:    93.0952   -5.6337   -1.8988   -4.1294   -1.2035    0.1038    5.2152    1.6150    1.0450    2.6377    0.5035    0.5225   20.0768   11.4566
+#> 2:    93.1464   -5.6948   -1.8729   -4.2029   -1.1302    0.1295    5.5478    1.5342    0.9927    2.5059    0.4783    0.5147   11.2089    8.1577
+#> 3:    93.1719   -5.7029   -1.8810   -4.2024   -1.0686    0.1063    5.2764    1.5217    0.9431    2.3806    0.4544    0.5587    9.3753    5.7166
+#> 4:    92.8647   -5.8139   -1.8979   -4.1992   -1.0168    0.1122    5.4892    1.7893    0.8960    2.2615    0.4317    0.5307    9.4134    4.7166
+#> 5:    92.7759   -5.8627   -1.8873   -4.1402   -1.0347    0.1243    6.2028    2.1819    0.8795    2.1485    0.4101    0.5042    9.5964    4.7340
+#> 6:    92.8080   -5.8954   -1.9186   -4.1772   -0.9727    0.1311    5.8926    2.0728    0.8633    2.0410    0.3896    0.4790    8.7334    4.1957
+#> 7:    92.9042   -5.9034   -1.9603   -4.1854   -0.9717    0.1630    5.5980    2.2068    0.8672    1.9390    0.3701    0.4550    8.7213    3.3409
+#> 8:    92.9302   -5.8545   -1.9240   -4.2343   -0.9748    0.1686    5.3181    2.3934    0.8239    1.9533    0.3516    0.4323    7.6950    2.9174
+#> 9:    92.9518   -5.5561   -1.9734   -4.1856   -0.9322    0.2129    5.0522    2.2738    0.7830    2.0138    0.3340    0.4689    7.9230    2.1930
+#> 10:    93.0672   -5.5564   -1.9633   -4.1456   -0.9343    0.2049    4.7996    2.1601    0.7438    2.0517    0.3173    0.4771    8.0644    2.0682
+#> 11:    92.6849   -5.6187   -1.9773   -4.1793   -0.9342    0.2290    4.5596    2.0521    0.7123    2.0774    0.3015    0.5052    8.2355    1.9349
+#> 12:    92.6425   -5.6989   -2.0144   -4.1395   -0.9342    0.2669    4.3316    2.2634    0.7142    2.3008    0.2864    0.5728    7.5188    1.8028
+#> 13:    92.2996   -5.6700   -1.9885   -4.0443   -0.9202    0.2750    4.5787    2.1608    0.7019    2.7515    0.2721    0.6641    7.0744    1.8958
+#> 14:    92.2457   -5.5825   -2.0314   -3.9788   -0.9142    0.2908    6.3744    2.0527    0.7018    3.2703    0.2585    0.6387    6.9499    1.8421
+#> 15:    92.1741   -5.5333   -2.0318   -3.9664   -0.9059    0.2894    6.0557    1.9501    0.7179    3.2869    0.2455    0.6068    7.0951    1.6824
+#> 16:    92.5772   -5.4982   -2.0352   -3.9471   -0.9063    0.2930    5.7529    1.8526    0.7244    3.6994    0.2333    0.5764    7.2138    1.7042
+#> 17:    92.7024   -5.4902   -2.0438   -4.0347   -0.9079    0.2959    5.4652    1.7600    0.7393    3.5144    0.2216    0.5765    7.0258    1.6793
+#> 18:    92.0240   -5.5539   -2.0520   -3.9601   -0.9079    0.2884    6.5142    1.9232    0.7320    3.9052    0.2157    0.5521    7.2568    1.6151
+#> 19:    92.6532   -5.6325   -2.0456   -3.9091   -0.9179    0.3047    6.5743    2.3363    0.7405    4.5825    0.2049    0.5425    7.6201    1.6565
+#> 20:    92.3488   -5.6617   -2.0554   -3.9501   -0.9216    0.3056    6.7080    2.7562    0.7218    4.7569    0.2083    0.5432    7.3481    1.8059
+#> 21:    92.5679   -5.7469   -2.0614   -4.0829   -0.8890    0.3158    6.6510    3.1993    0.7136    4.5191    0.1978    0.5281    7.3723    1.7461
+#> 22:    92.4785   -5.9527   -2.0657   -4.0580   -0.8971    0.3084    6.3184    4.1791    0.7144    4.2931    0.1929    0.5157    7.1922    1.6984
+#> 23:    92.5594   -5.8590   -2.0723   -4.0580   -0.9020    0.2952    6.0025    3.9702    0.7335    4.0784    0.1833    0.5129    7.7560    1.6302
+#> 24:    92.6152   -5.9488   -2.0658   -4.1187   -0.9050    0.2997    5.7024    4.5381    0.7215    3.8745    0.1875    0.5129    7.6182    1.6362
+#> 25:    92.4658   -5.8715   -2.0791   -4.0949   -0.8922    0.3074    6.1428    4.3112    0.7353    3.6808    0.1896    0.5157    7.2703    1.5633
+#> 26:    92.2507   -5.9797   -2.0707   -4.0834   -0.8868    0.3266    6.4124    4.7125    0.7334    3.5368    0.1851    0.5217    7.3085    1.5828
+#> 27:    92.7055   -5.9792   -2.0779   -4.2066   -0.8887    0.2993    6.0918    4.8624    0.7659    3.7456    0.1841    0.4956    7.3534    1.5240
+#> 28:    92.3971   -6.0253   -2.0648   -4.1406   -0.9042    0.2897    5.7872    4.7690    0.7449    3.5583    0.1823    0.4709    7.2479    1.5008
+#> 29:    92.4045   -5.9045   -2.0730   -4.1407   -0.8969    0.3103    5.6683    4.5306    0.7349    3.3816    0.1849    0.5054    7.1719    1.6004
+#> 30:    92.1714   -5.8598   -2.0645   -4.0913   -0.8964    0.2743    5.3849    4.3040    0.7538    3.3509    0.1757    0.4801    7.3739    1.5736
+#> 31:    91.9134   -5.7867   -2.0367   -4.0563   -0.8957    0.2280    5.1156    4.0888    0.7299    3.3452    0.1749    0.4673    6.5991    1.5909
+#> 32:    92.3743   -5.9967   -2.0255   -4.0668   -0.9025    0.2247    4.8599    4.6666    0.7256    3.3271    0.1714    0.5008    6.4693    1.5458
+#> 33:    92.5239   -5.9301   -2.0387   -4.0365   -0.9033    0.2558    4.6169    4.4333    0.7492    3.6109    0.1688    0.5424    6.7730    1.5771
+#> 34:    92.6892   -6.1135   -2.0587   -4.0280   -0.8993    0.2430    4.3860    6.0227    0.7798    3.5725    0.1672    0.5153    6.8110    1.5417
+#> 35:    92.7276   -6.0815   -2.0629   -4.0833   -0.8943    0.2375    4.6811    5.7216    0.8010    3.3939    0.1715    0.4895    6.6812    1.5478
+#> 36:    92.7316   -6.0691   -2.0882   -4.0626   -0.9030    0.2405    4.4614    5.4355    0.8355    3.2242    0.1789    0.4650    6.8443    1.4806
+#> 37:    92.6685   -5.7905   -2.0666   -4.0663   -0.8998    0.2784    5.1916    5.1637    0.7937    3.0641    0.1823    0.4418    6.5421    1.6284
+#> 38:    93.0325   -5.6829   -2.0674   -4.0772   -0.9167    0.2499    4.9320    4.9055    0.7768    3.1213    0.1887    0.4290    6.8220    1.5224
+#> 39:    93.0378   -5.5554   -2.0743   -4.0772   -0.9189    0.2361    4.6854    4.6603    0.7822    3.1213    0.1813    0.4242    7.1137    1.5021
+#> 40:    93.3297   -5.6270   -2.0591   -4.1200   -0.9167    0.2035    4.4511    4.4272    0.8128    2.9653    0.1829    0.4030    7.3894    1.5064
+#> 41:    93.3408   -5.5437   -2.0344   -4.1042   -0.9078    0.1744    4.2286    4.2059    0.8228    2.8170    0.1881    0.3829    7.2734    1.5519
+#> 42:    93.1691   -5.4436   -2.0551   -4.1048   -0.8984    0.1732    4.0172    3.9956    0.7816    2.6762    0.1853    0.3637    6.9712    1.5332
+#> 43:    93.2443   -5.5247   -2.0722   -4.0980   -0.8992    0.1756    3.8163    3.7958    0.7781    2.7200    0.1956    0.3455    6.7012    1.5344
+#> 44:    92.9509   -5.5020   -2.0495   -4.0961   -0.8964    0.1777    3.6255    3.6060    0.7555    2.8172    0.1994    0.3283    6.2180    1.6137
+#> 45:    92.8898   -5.4913   -2.0462   -4.1079   -0.9003    0.1701    4.1177    3.4257    0.7491    2.8491    0.1989    0.3372    6.2876    1.6205
+#> 46:    92.6044   -5.6429   -2.0499   -4.1079   -0.9069    0.1999    4.2103    3.2544    0.7657    2.8491    0.1921    0.3532    6.2261    1.6435
+#> 47:    92.7740   -5.6128   -2.0804   -4.1186   -0.8976    0.1864    5.2188    3.0917    0.7381    2.9036    0.2030    0.3391    6.6803    1.6177
+#> 48:    92.4691   -5.6645   -2.0600   -4.1288   -0.8796    0.1913    6.2045    2.9371    0.7774    2.9223    0.1966    0.3396    6.7169    1.6215
+#> 49:    92.4128   -5.7079   -2.0802   -4.1166   -0.8798    0.1741    5.8943    3.1446    0.7854    2.8715    0.1935    0.3369    6.9151    1.4834
+#> 50:    91.8883   -5.7713   -2.0932   -4.0899   -0.8886    0.1758    5.5996    3.5478    0.8033    2.8192    0.2014    0.3201    7.0775    1.4635
+#> 51:    92.1187   -5.7306   -2.0903   -4.0878   -0.8923    0.2024    5.3196    3.6534    0.7823    2.7891    0.1969    0.3140    6.9879    1.5430
+#> 52:    92.3209   -5.7897   -2.0903   -4.1622   -0.9072    0.2261    5.3781    3.4707    0.8001    3.0801    0.2063    0.3088    6.7047    1.4499
+#> 53:    92.4318   -5.6954   -2.0950   -4.1866   -0.9082    0.2131    7.1200    3.2972    0.7711    3.3398    0.2034    0.3186    6.6152    1.5123
+#> 54:    92.5380   -5.6975   -2.0782   -4.2394   -0.8976    0.2118    6.7640    3.1323    0.7744    3.5385    0.2175    0.3296    6.4402    1.5403
+#> 55:    92.7213   -5.6663   -2.0427   -4.3288   -0.9028    0.2032    8.1796    2.9757    0.7748    4.4495    0.2142    0.3316    6.4111    1.5369
+#> 56:    92.7219   -5.6865   -2.0557   -4.3434   -0.9084    0.2021    7.7706    2.8269    0.7989    4.6691    0.2174    0.3433    6.4256    1.4639
+#> 57:    92.8932   -5.5736   -2.0497   -4.3955   -0.9216    0.1694    7.3821    2.6856    0.8205    4.9791    0.2142    0.3500    6.5378    1.5406
+#> 58:    92.9219   -5.5789   -2.0547   -4.3094   -0.9183    0.1838    7.0130    2.5513    0.7958    4.7302    0.2193    0.3495    6.2662    1.4940
+#> 59:    93.0432   -5.6201   -2.0395   -4.2527   -0.9199    0.2302    6.6623    2.4237    0.8241    4.4937    0.2241    0.3321    5.8693    1.6176
+#> 60:    92.9724   -5.5971   -2.0537   -4.3509   -0.9219    0.2118    7.5905    2.3026    0.8418    4.4546    0.2177    0.3155    5.5960    1.5040
+#> 61:    93.1235   -5.6332   -2.0671   -4.3572   -0.9219    0.1917    7.2521    2.3037    0.8527    4.5707    0.2230    0.2997    5.8136    1.4516
+#> 62:    93.5431   -5.6373   -2.0371   -4.3384   -0.9276    0.1997    8.5187    2.3895    0.8575    4.4378    0.2258    0.3041    5.5746    1.4572
+#> 63:    93.5009   -5.5634   -2.0224   -4.3560   -0.9339    0.2167    8.0927    2.2700    0.8462    4.4449    0.2266    0.3162    5.4922    1.5233
+#> 64:    93.7369   -5.6032   -2.0362   -4.2323   -0.9355    0.2159    9.6684    2.1949    0.8514    4.2227    0.2300    0.3318    5.7597    1.4866
+#> 65:    93.5021   -5.5769   -2.0311   -4.3204   -0.9375    0.1927    9.5537    2.0852    0.8559    4.6151    0.2208    0.3550    5.6975    1.5031
+#> 66:    93.4211   -5.7184   -2.0384   -4.3041   -0.9228    0.2121    9.0760    2.6390    0.8430    4.3843    0.2098    0.3755    5.8990    1.5133
+#> 67:    93.3435   -5.6579   -2.0456   -4.2222   -0.9183    0.1825    8.6222    2.5071    0.8719    4.1651    0.2152    0.3567    5.9004    1.4874
+#> 68:    93.3914   -5.6554   -2.0420   -4.1618   -0.9303    0.1714    8.1911    2.3817    0.8856    3.9569    0.2272    0.3388    6.1793    1.4917
+#> 69:    93.5112   -5.6834   -2.0349   -4.1591   -0.9331    0.1759    8.9900    2.5191    0.9184    3.7590    0.2236    0.3219    6.1618    1.4697
+#> 70:    93.4289   -5.6576   -2.0273   -4.1763   -0.9399    0.1738    8.5405    2.4302    0.8725    3.5711    0.2149    0.3288    6.5324    1.5410
+#> 71:    93.2936   -5.6699   -2.0256   -4.1405   -0.9370    0.1922    8.1134    2.3831    0.8289    3.3925    0.2080    0.3548    5.9794    1.5904
+#> 72:    92.9152   -5.6742   -2.0382   -4.1523   -0.9411    0.1991    7.7078    2.4322    0.7875    3.2916    0.2007    0.3456    6.0999    1.6022
+#> 73:    92.8129   -5.8099   -2.0372   -4.1735   -0.9377    0.1605    8.2752    2.8931    0.7737    3.4015    0.2057    0.3283    6.0140    1.5472
+#> 74:    92.7806   -5.7269   -2.0315   -4.1877   -0.9399    0.1675    8.4688    2.7484    0.7773    3.4620    0.2174    0.3249    5.8495    1.5779
+#> 75:    92.9128   -5.8680   -2.0304   -4.1459   -0.9387    0.1567    8.0454    3.2365    0.7681    3.2935    0.2198    0.3187    5.8539    1.5815
+#> 76:    92.8931   -5.8483   -2.0253   -4.1815   -0.9387    0.1540    9.6800    3.0747    0.8007    3.5838    0.2198    0.3291    5.9005    1.5053
+#> 77:    92.7474   -5.7995   -2.0202   -4.1904   -0.9333    0.1724   10.0488    2.9210    0.7841    3.7255    0.2148    0.3465    5.9418    1.5569
+#> 78:    92.8150   -5.9608   -2.0025   -4.1583   -0.9511    0.1566    9.5464    3.5249    0.7858    3.6988    0.2246    0.3292    5.7737    1.5904
+#> 79:    92.6663   -6.0485   -2.0245   -4.1437   -0.9446    0.1786    9.0690    4.1252    0.7803    3.6526    0.2155    0.3335    5.9109    1.5521
+#> 80:    92.5932   -6.1001   -2.0304   -4.1969   -0.9409    0.1424    8.6156    4.6478    0.8007    4.0379    0.2114    0.3168    6.1732    1.5544
+#> 81:    92.6789   -6.3510   -2.0062   -4.2272   -0.9541    0.1360    8.3363    5.9861    0.7719    3.8800    0.2202    0.3010    5.6841    1.6317
+#> 82:    92.9996   -6.5680   -2.0048   -4.1609   -0.9578    0.1367   10.6901    7.4391    0.7962    3.6860    0.2092    0.2859    5.7335    1.6391
+#> 83:    93.1087   -6.5298   -1.9757   -4.1694   -0.9596    0.1323   10.5524    7.4660    0.8237    3.8009    0.2134    0.2716    5.9664    1.6316
+#> 84:    93.1929   -6.5844   -2.0191   -4.2021   -0.9616    0.1384   10.0248    7.7313    0.8230    3.6109    0.2110    0.2580    5.7854    1.5609
+#> 85:    92.9161   -6.4934   -2.0281   -4.2008   -0.9600    0.1107    9.5236    7.4269    0.8448    3.5630    0.2110    0.2451    5.6111    1.5333
+#> 86:    92.9816   -6.5397   -2.0234   -4.1830   -0.9694    0.1111    9.1945    7.4382    0.8481    3.3849    0.2166    0.2329    5.8375    1.5263
+#> 87:    93.0930   -6.5749   -2.0168   -4.1986   -0.9816    0.0926    8.7348    8.4431    0.8646    3.3032    0.2155    0.2212    5.7542    1.5736
+#> 88:    93.0765   -6.4914   -2.0274   -4.2274   -0.9870    0.1148    8.4666    8.0209    0.8666    3.5292    0.2048    0.2102    5.8988    1.5329
+#> 89:    92.8699   -6.6431   -2.0199   -4.2175   -0.9463    0.1011    8.4648    7.7973    0.8908    3.3980    0.1945    0.2102    5.6876    1.5177
+#> 90:    92.8225   -6.6932   -2.0211   -4.2175   -0.9505    0.0887   10.1862    8.7787    0.8730    3.3980    0.1877    0.1997    5.9135    1.4821
+#> 91:    92.7874   -6.7007   -2.0420   -4.2936   -0.9468    0.0927   11.2275    8.3397    0.8600    3.9490    0.1885    0.2147    6.1108    1.4315
+#> 92:    93.2320   -6.8088   -2.0341   -4.2817   -0.9582    0.1270   12.4029    9.6204    0.8503    3.7516    0.1950    0.2070    5.9434    1.5251
+#> 93:    93.8996   -6.5471   -2.0440   -4.2123   -0.9543    0.1140   11.7828    9.1394    0.8493    3.5640    0.1988    0.2017    6.1302    1.5568
+#> 94:    93.4416   -6.4623   -2.0448   -4.2188   -0.9595    0.1174   12.1277    8.6824    0.8568    3.3858    0.1975    0.1938    5.9173    1.5204
+#> 95:    93.2953   -6.1521   -2.0477   -4.2216   -0.9551    0.1152   11.5213    8.2483    0.8356    3.2165    0.1979    0.1855    5.8298    1.5357
+#> 96:    92.9577   -6.0477   -2.0579   -4.2534   -0.9465    0.1284   10.9452    7.8359    0.8202    3.3357    0.1937    0.1917    5.8590    1.5738
+#> 97:    92.8703   -6.1037   -2.0745   -4.1960   -0.9405    0.1417   10.4858    7.4441    0.8488    3.1690    0.1969    0.2016    5.7948    1.4759
+#> 98:    92.9728   -6.3534   -2.0868   -4.2155   -0.9444    0.1069    9.9615    7.1788    0.8736    3.1913    0.1998    0.2114    5.6533    1.4322
+#> 99:    93.4116   -6.1712   -2.0837   -4.2280   -0.9473    0.1197    9.4634    6.8198    0.8959    3.1806    0.1899    0.2167    5.9149    1.3768
+#> 100:    93.2598   -6.1345   -2.0645   -4.2237   -0.9575    0.1099    8.9903    6.4788    0.9204    3.2429    0.1903    0.2058    5.7085    1.4133
+#> 101:    93.3082   -6.1574   -2.0474   -4.2315   -0.9619    0.1161    9.0819    6.1549    0.8744    3.2049    0.1891    0.2278    5.6493    1.4894
+#> 102:    93.5741   -6.2923   -2.0484   -4.2853   -0.9665    0.1325   10.4108    5.8522    0.8804    3.5370    0.2024    0.2324    5.6995    1.4594
+#> 103:    92.9199   -6.1797   -2.0522   -4.2940   -0.9568    0.1289    9.8903    5.5596    0.8722    3.6682    0.1975    0.2398    5.5536    1.4510
+#> 104:    93.1139   -6.1630   -2.0546   -4.2912   -0.9613    0.1115    9.3958    5.2816    0.8648    3.6673    0.2010    0.2278    5.5768    1.4812
+#> 105:    93.4085   -6.0359   -2.0450   -4.2889   -0.9591    0.1258    8.9260    5.0175    0.8412    3.7286    0.1917    0.2171    5.6780    1.5203
+#> 106:    93.3103   -6.1029   -2.0425   -4.2948   -0.9579    0.0934    8.4797    4.7667    0.8539    3.6947    0.1947    0.2234    5.7210    1.4760
+#> 107:    93.6389   -5.9750   -2.0309   -4.2630   -0.9660    0.1110    8.0557    4.5283    0.8470    3.5100    0.2044    0.2299    5.6280    1.5525
+#> 108:    93.8641   -5.8551   -2.0360   -4.2311   -0.9629    0.0900    7.6529    4.3019    0.8567    3.3345    0.2014    0.2302    5.7841    1.5978
+#> 109:    93.6274   -6.0268   -2.0445   -4.3047   -0.9488    0.0979    7.2703    4.7807    0.8565    3.7665    0.1929    0.2271    5.7941    1.5580
+#> 110:    93.6320   -5.8321   -2.0413   -4.2855   -0.9477    0.1143    6.9068    4.5417    0.8412    3.6165    0.1901    0.2199    5.8169    1.5477
+#> 111:    93.6245   -5.8256   -2.0157   -4.2797   -0.9612    0.0940    6.5774    4.3146    0.8460    3.5782    0.1837    0.2182    5.6157    1.6424
+#> 112:    93.8512   -5.9045   -2.0116   -4.2409   -0.9708    0.0883    6.2486    4.0989    0.8658    3.5059    0.1761    0.2073    5.8852    1.6073
+#> 113:    93.7080   -5.9935   -2.0306   -4.1884   -0.9690    0.0740    5.9361    4.0088    0.9072    3.3400    0.1957    0.2169    6.3792    1.4770
+#> 114:    93.8574   -5.9185   -2.0233   -4.2030   -0.9588    0.1137    5.6393    3.8084    0.9322    3.2878    0.1939    0.2098    5.8891    1.5325
+#> 115:    93.7414   -5.8789   -2.0183   -4.2256   -0.9701    0.1105    5.6148    3.6180    0.9222    3.5507    0.1921    0.1993    5.6441    1.5458
+#> 116:    93.4104   -5.9704   -2.0428   -4.2091   -0.9807    0.1099    5.3341    4.1157    0.9363    3.4004    0.1968    0.2134    5.7764    1.4617
+#> 117:    93.5239   -5.9057   -2.0518   -4.2494   -0.9812    0.1127    6.8839    3.9099    0.9151    3.6604    0.1921    0.2095    5.4753    1.4249
+#> 118:    93.7599   -5.9418   -2.0482   -4.2272   -0.9822    0.1094    6.8133    3.7144    0.9198    3.5160    0.1971    0.2039    5.6467    1.4116
+#> 119:    93.6617   -6.0020   -2.0483   -4.2146   -0.9816    0.1003    6.4727    3.8251    0.9103    3.4716    0.1950    0.2109    5.8513    1.4268
+#> 120:    93.5436   -5.9804   -2.0458   -4.1906   -0.9819    0.1065    6.1490    3.6756    0.9088    3.2980    0.1989    0.2123    5.8268    1.4689
+#> 121:    93.4880   -5.9047   -2.0452   -4.1957   -0.9640    0.1349    5.8416    3.4918    0.8824    3.2437    0.1889    0.2017    5.7152    1.4382
+#> 122:    93.7406   -5.9844   -2.0596   -4.2328   -0.9558    0.1563    5.5495    3.7606    0.8489    3.3043    0.1795    0.2015    5.5095    1.5112
+#> 123:    93.6728   -6.0394   -2.0372   -4.2812   -0.9592    0.1507    5.2720    4.2004    0.8341    3.5274    0.1817    0.2008    5.6936    1.6011
+#> 124:    93.9591   -6.0483   -2.0280   -4.2613   -0.9594    0.1463    5.3846    4.1913    0.8351    3.4341    0.1870    0.2193    5.5694    1.5684
+#> 125:    94.0201   -5.9102   -2.0507   -4.2686   -0.9697    0.1455    5.1154    3.9818    0.8512    3.3475    0.1859    0.2165    5.6224    1.5643
+#> 126:    93.8825   -5.8970   -2.0543   -4.2569   -0.9663    0.1493    4.9144    3.7827    0.8907    3.3030    0.1876    0.2180    5.7351    1.4722
+#> 127:    93.9893   -5.8955   -2.0624   -4.2430   -0.9802    0.1476    7.2413    3.5935    0.8915    3.2740    0.1851    0.2110    5.7614    1.4305
+#> 128:    94.1849   -5.9123   -2.0624   -4.2385   -0.9786    0.1523    7.9575    3.4139    0.9094    3.2656    0.1807    0.2198    5.7366    1.4264
+#> 129:    94.0812   -6.0044   -2.0696   -4.3056   -0.9770    0.1693    8.7809    3.7526    0.9111    3.6172    0.1859    0.2255    5.8064    1.4718
+#> 130:    93.6046   -6.1387   -2.0718   -4.3056   -0.9821    0.1477    8.3419    4.3029    0.9177    3.6172    0.1867    0.2143    5.8893    1.4447
+#> 131:    93.5216   -6.1347   -2.0740   -4.3114   -0.9766    0.1288    8.2937    4.3407    0.9250    3.5298    0.1881    0.2293    5.8054    1.4219
+#> 132:    93.6142   -6.2789   -2.0786   -4.3297   -0.9716    0.1288    8.3731    5.1225    0.9236    3.6683    0.1929    0.2295    5.8064    1.4194
+#> 133:    93.4410   -5.9177   -2.0916   -4.3557   -0.9798    0.1066    7.9544    4.8663    0.9537    3.7076    0.1937    0.2279    5.9844    1.4297
+#> 134:    93.4716   -5.9152   -2.0838   -4.3611   -0.9818    0.1332    7.5567    4.6230    0.9161    3.7833    0.2017    0.2308    6.0611    1.5717
+#> 135:    93.3787   -6.0381   -2.0728   -4.2627   -0.9719    0.1051    7.2396    4.3919    0.8970    3.5941    0.1916    0.2193    5.8837    1.6057
+#> 136:    93.4339   -5.9876   -2.0801   -4.3002   -0.9690    0.1214    6.8776    4.1723    0.8888    3.4144    0.2002    0.2227    6.0141    1.5231
+#> 137:    93.7639   -6.0411   -2.0803   -4.2799   -0.9646    0.1484    6.5337    3.9765    0.8969    3.2437    0.1995    0.2115    5.9404    1.6402
+#> 138:    93.6414   -6.0122   -2.0714   -4.2666   -0.9755    0.1506    7.4057    3.7962    0.9242    3.1524    0.1934    0.2010    6.0666    1.5001
+#> 139:    93.7743   -5.7966   -2.0613   -4.2289   -0.9722    0.1383    7.9358    3.6064    0.9015    2.9948    0.1946    0.2029    5.9655    1.5250
+#> 140:    93.1082   -5.7994   -2.0388   -4.2289   -0.9659    0.1382    8.0282    3.4261    0.9053    2.9079    0.1909    0.2138    5.9183    1.5191
+#> 141:    93.2122   -6.0181   -2.0396   -4.2398   -0.9587    0.1016    8.9769    3.9426    0.9028    2.9136    0.1941    0.2195    6.1560    1.4902
+#> 142:    93.4684   -6.1438   -2.0273   -4.2541   -0.9508    0.0848    8.5281    4.8727    0.9056    2.9875    0.1901    0.2233    6.2546    1.4695
+#> 143:    93.0059   -6.0964   -2.0145   -4.2760   -0.9563    0.0826    8.1017    4.6291    0.9312    3.1063    0.1850    0.2138    6.5768    1.4391
+#> 144:    93.0612   -6.1127   -1.9951   -4.2589   -0.9539    0.0904    7.6966    4.6160    0.9623    3.1681    0.1824    0.2032    6.1506    1.4497
+#> 145:    93.5170   -6.1066   -1.9951   -4.3574   -0.9478    0.1040    7.3118    4.6263    0.9639    3.6914    0.1986    0.2292    5.9389    1.4867
+#> 146:    93.4915   -6.3235   -2.0006   -4.3866   -0.9579    0.1202    6.9462    6.0529    0.9514    3.9899    0.1887    0.2335    5.9265    1.4978
+#> 147:    93.8963   -6.1119   -2.0055   -4.3446   -0.9682    0.1242    7.1711    5.7503    0.9315    3.7904    0.1923    0.2332    5.9346    1.5021
+#> 148:    93.6758   -5.9705   -2.0137   -4.2906   -0.9614    0.1125    6.8125    5.4628    0.9506    3.6009    0.1913    0.2371    6.2579    1.4384
+#> 149:    93.6499   -6.0049   -2.0246   -4.2730   -0.9776    0.0996    6.4719    5.1896    0.9736    3.4209    0.1817    0.2252    6.3224    1.3878
+#> 150:    94.0242   -5.9760   -2.0176   -4.2182   -0.9773    0.1032    6.1483    4.9301    0.9944    3.2498    0.1807    0.2290    6.5662    1.3618
+#> 151:    93.9234   -5.8772   -2.0132   -4.2362   -0.9651    0.1058    7.2453    4.6836    0.9824    3.4860    0.1806    0.2175    6.2575    1.4370
+#> 152:    94.2513   -5.9391   -2.0814   -4.2278   -0.9753    0.1221    4.9753    3.4013    0.9808    3.3265    0.1836    0.1897    6.6966    1.3457
+#> 153:    93.9434   -6.1294   -2.0570   -4.2447   -0.9761    0.1527    5.0454    4.3115    0.9494    3.3663    0.1684    0.1680    5.9106    1.4777
+#> 154:    93.8141   -6.2749   -2.0366   -4.2383   -0.9835    0.1440    5.5466    5.3351    0.9320    3.3337    0.1731    0.1913    5.8842    1.4325
+#> 155:    94.1987   -6.1029   -2.0252   -4.2520   -0.9780    0.1132    7.1508    4.2713    0.9457    3.3428    0.1727    0.1691    6.1632    1.4658
+#> 156:    94.0626   -6.2640   -2.0263   -4.2461   -0.9854    0.1346    5.6296    5.1645    0.9423    3.3987    0.1697    0.1778    5.9631    1.4483
+#> 157:    93.9319   -6.1392   -2.0388   -4.2294   -0.9921    0.1265    5.6768    4.7366    0.9210    3.3673    0.1733    0.1789    5.9114    1.4976
+#> 158:    93.9123   -6.1970   -2.0165   -4.2241   -0.9924    0.1540    7.2552    4.7537    0.9369    3.2727    0.1805    0.1923    5.9324    1.5351
+#> 159:    93.9704   -6.4018   -2.0455   -4.2127   -0.9919    0.1413    7.7561    6.0732    0.9802    3.3376    0.1806    0.2260    6.4511    1.4227
+#> 160:    94.1967   -6.2985   -2.0412   -4.2264   -0.9795    0.1206    8.3836    6.1319    0.9689    3.4685    0.1792    0.2150    6.5116    1.4706
+#> 161:    94.3500   -6.1427   -2.0189   -4.2242   -1.0022    0.0837    8.0282    4.5505    0.9524    3.3269    0.1859    0.1816    6.0642    1.4746
+#> 162:    94.2711   -5.9578   -2.0215   -4.2078   -1.0110    0.0946    7.8634    3.3072    0.9559    3.2374    0.1876    0.1791    6.0798    1.4903
+#> 163:    93.9824   -5.8794   -2.0409   -4.2367   -0.9970    0.1150    9.3872    3.0498    0.9830    3.3179    0.1880    0.1828    5.8091    1.4852
+#> 164:    94.2013   -5.8651   -2.0122   -4.2257   -0.9906    0.1267    7.1953    3.0510    0.9697    3.2713    0.1871    0.1832    5.8741    1.5313
+#> 165:    94.1804   -5.7868   -2.0200   -4.2053   -0.9812    0.1219    6.7375    2.4769    0.9688    3.2706    0.1910    0.1859    5.7890    1.5188
+#> 166:    93.9790   -5.8156   -2.0311   -4.2438   -0.9784    0.1247    5.7617    2.6907    0.9533    3.5342    0.1953    0.1872    5.8816    1.5243
+#> 167:    93.2524   -5.8603   -2.0497   -4.2594   -0.9787    0.1265    4.7086    2.9121    0.9117    3.4696    0.1943    0.1832    5.9672    1.4567
+#> 168:    93.2924   -6.0371   -2.0528   -4.2607   -0.9727    0.1201    5.5273    4.0286    0.9177    3.4501    0.1918    0.1908    5.7790    1.4701
+#> 169:    93.4838   -6.1497   -2.0389   -4.2716   -0.9639    0.1127    5.4524    4.2700    0.9544    3.4329    0.1940    0.1871    5.7795    1.4575
+#> 170:    93.3951   -6.2298   -2.0438   -4.4133   -0.9939    0.1088    6.1460    4.6552    0.9645    4.5240    0.1978    0.2091    5.7549    1.5233
+#> 171:    93.4113   -6.1187   -2.0536   -4.4019   -0.9771    0.0899    6.8123    4.0073    0.9531    4.4290    0.1878    0.1970    5.9067    1.4857
+#> 172:    93.1140   -5.9515   -2.0530   -4.3250   -0.9723    0.1094    5.1247    3.4502    0.9572    3.8504    0.1954    0.1944    5.8583    1.4867
+#> 173:    92.9782   -6.0415   -2.0633   -4.2887   -0.9608    0.1081    4.1020    3.8967    0.9478    3.7222    0.1890    0.1812    5.9473    1.4583
+#> 174:    92.9661   -5.9295   -2.0457   -4.2907   -0.9626    0.0991    5.7954    3.3581    0.9785    3.7311    0.1867    0.2026    5.8087    1.4797
+#> 175:    93.2577   -5.8895   -2.0281   -4.2845   -0.9560    0.0829    7.3434    3.1501    0.9975    3.6334    0.1920    0.2151    5.4717    1.4832
+#> 176:    93.1210   -5.9567   -2.0370   -4.2848   -0.9488    0.0787    6.8946    3.4999    0.9983    3.6159    0.1922    0.2233    5.8426    1.4096
+#> 177:    92.5456   -6.1797   -2.0319   -4.2684   -0.9401    0.0873    6.9744    5.2939    0.9928    3.4880    0.1989    0.2213    5.9613    1.4367
+#> 178:    92.6854   -6.1483   -2.0278   -4.2705   -0.9504    0.0630    5.0582    5.0622    0.9953    3.4915    0.1930    0.2238    5.9775    1.4263
+#> 179:    93.1323   -6.1739   -2.0353   -4.2590   -0.9455    0.0584    4.9914    4.7898    0.9817    3.4163    0.1899    0.2124    5.9579    1.4242
+#> 180:    93.0611   -6.2228   -2.0441   -4.2977   -0.9387    0.0320    4.0323    5.5685    0.9890    3.7202    0.1940    0.2335    6.2224    1.4194
+#> 181:    92.7741   -6.1462   -2.0477   -4.3335   -0.9454    0.1011    3.7007    5.1590    0.9807    3.8469    0.1939    0.2463    5.9703    1.4343
+#> 182:    93.0775   -6.0640   -2.0496   -4.3171   -0.9444    0.0897    5.0266    4.5597    0.9792    3.7741    0.1931    0.2186    5.6727    1.4858
+#> 183:    93.2566   -6.1757   -2.0368   -4.2888   -0.9560    0.0809    5.8284    5.2504    0.9636    3.7078    0.1939    0.2262    5.5170    1.4560
+#> 184:    93.0357   -6.1158   -2.0217   -4.3111   -0.9453    0.0901    6.7209    5.4048    0.9503    3.8949    0.1967    0.2209    5.3578    1.4704
+#> 185:    93.0173   -6.1998   -2.0371   -4.3713   -0.9451    0.0752    6.1040    5.8272    0.9333    4.4038    0.1951    0.2238    5.5896    1.4202
+#> 186:    93.2835   -6.1217   -2.0383   -4.3308   -0.9574    0.1110    6.0519    4.7669    0.9400    4.0265    0.1972    0.2274    5.4560    1.4602
+#> 187:    93.5312   -6.3356   -2.0253   -4.3418   -0.9583    0.1166    6.7561    5.8784    0.9346    4.0264    0.2038    0.2281    5.5024    1.4994
+#> 188:    93.6460   -5.8426   -2.0237   -4.4519   -0.9594    0.1283    6.3492    3.4189    0.9091    4.9358    0.2086    0.2348    5.4301    1.5893
+#> 189:    93.8538   -6.0183   -2.0178   -4.3911   -0.9797    0.1262    8.7939    3.7358    0.9008    4.4894    0.2125    0.2199    5.6613    1.5073
+#> 190:    93.1543   -6.1364   -2.0451   -4.4389   -0.9708    0.1584    9.9803    4.2747    0.8922    4.8507    0.2084    0.2607    5.9136    1.4572
+#> 191:    93.4334   -6.1466   -2.0389   -4.4661   -0.9678    0.1565    7.8390    4.4393    0.9022    4.7857    0.2105    0.2634    5.7161    1.5325
+#> 192:    93.3623   -6.0940   -2.0240   -4.4569   -0.9673    0.1420    8.0856    4.3185    0.8895    4.4721    0.2113    0.2350    5.5282    1.5221
+#> 193:    93.1990   -5.9864   -2.0301   -4.4538   -0.9563    0.1515    8.4425    3.7598    0.8814    4.4376    0.2013    0.2257    5.4205    1.4820
+#> 194:    93.3165   -6.0045   -2.0353   -4.4314   -0.9525    0.1486    8.2370    3.6742    0.8947    4.4594    0.1960    0.2248    5.4579    1.4767
+#> 195:    93.1288   -6.1006   -2.0551   -4.5184   -0.9503    0.1583    9.6259    4.2294    0.9040    5.1981    0.1950    0.1962    5.5602    1.4254
+#> 196:    93.1943   -5.9871   -2.0607   -4.4728   -0.9446    0.1482    9.3401    3.5579    0.8925    4.7901    0.1892    0.1879    5.7296    1.4172
+#> 197:    93.5803   -5.9131   -2.0522   -4.3675   -0.9476    0.1571    7.2599    3.4241    0.8857    3.8551    0.1886    0.1793    5.4832    1.6006
+#> 198:    93.5703   -5.9980   -2.0550   -4.3578   -0.9519    0.1491    7.0416    3.8805    0.8563    3.7930    0.1882    0.1896    5.4355    1.5402
+#> 199:    93.2909   -5.8288   -2.0532   -4.3605   -0.9518    0.1692    8.3926    3.0173    0.8566    3.8610    0.1902    0.2033    5.5735    1.5647
+#> 200:    93.4049   -5.7474   -2.0447   -4.3548   -0.9517    0.1812    7.4977    2.8256    0.8520    3.8236    0.1897    0.2060    5.5092    1.5699
+#> 201:    93.3386   -5.8209   -2.0398   -4.4174   -0.9597    0.1738    6.3555    3.0871    0.8431    4.3211    0.1853    0.2062    5.5460    1.5925
+#> 202:    93.3397   -5.8313   -2.0387   -4.4364   -0.9580    0.1669    6.0946    3.1018    0.8460    4.5093    0.1821    0.2068    5.6622    1.5740
+#> 203:    93.3071   -5.8276   -2.0384   -4.4758   -0.9571    0.1639    5.7815    3.0575    0.8608    4.9441    0.1826    0.2052    5.6855    1.5570
+#> 204:    93.3138   -5.8477   -2.0368   -4.4714   -0.9541    0.1658    5.7526    3.1322    0.8704    4.9129    0.1816    0.2057    5.6642    1.5606
+#> 205:    93.3066   -5.8537   -2.0395   -4.4842   -0.9521    0.1642    5.6045    3.1633    0.8748    5.0053    0.1805    0.2036    5.6633    1.5550
+#> 206:    93.3042   -5.8790   -2.0453   -4.4977   -0.9501    0.1633    5.7219    3.3320    0.8807    5.1121    0.1793    0.1999    5.6888    1.5413
+#> 207:    93.3281   -5.9005   -2.0504   -4.5109   -0.9480    0.1629    5.8004    3.4696    0.8865    5.2248    0.1789    0.1961    5.7206    1.5357
+#> 208:    93.3437   -5.8972   -2.0569   -4.5200   -0.9452    0.1641    5.7523    3.4604    0.8875    5.2848    0.1787    0.1933    5.7450    1.5288
+#> 209:    93.3265   -5.8864   -2.0628   -4.5092   -0.9440    0.1639    5.5355    3.4138    0.8882    5.1586    0.1791    0.1916    5.7744    1.5283
+#> 210:    93.3087   -5.8812   -2.0671   -4.5004   -0.9426    0.1677    5.3488    3.3975    0.8895    5.0589    0.1798    0.1924    5.7781    1.5307
+#> 211:    93.2807   -5.8760   -2.0703   -4.5009   -0.9413    0.1709    5.2654    3.3770    0.8894    5.0377    0.1805    0.1927    5.7808    1.5282
+#> 212:    93.2815   -5.8637   -2.0711   -4.4955   -0.9409    0.1708    5.3028    3.3250    0.8914    4.9702    0.1819    0.1941    5.7827    1.5274
+#> 213:    93.2828   -5.8481   -2.0709   -4.4895   -0.9396    0.1702    5.3840    3.2614    0.8913    4.9108    0.1826    0.1953    5.7744    1.5301
+#> 214:    93.2645   -5.8422   -2.0704   -4.4882   -0.9384    0.1710    5.3939    3.2358    0.8931    4.8944    0.1828    0.1955    5.7797    1.5351
+#> 215:    93.2591   -5.8519   -2.0709   -4.4858   -0.9380    0.1713    5.5142    3.2959    0.8953    4.8587    0.1822    0.1960    5.7853    1.5369
+#> 216:    93.2595   -5.8523   -2.0715   -4.4827   -0.9376    0.1723    5.5563    3.3077    0.8964    4.8306    0.1817    0.1973    5.7975    1.5396
+#> 217:    93.2503   -5.8512   -2.0732   -4.4737   -0.9373    0.1734    5.5036    3.3182    0.8959    4.7582    0.1817    0.1992    5.7940    1.5365
+#> 218:    93.2345   -5.8463   -2.0749   -4.4639   -0.9372    0.1747    5.5046    3.2959    0.8959    4.6771    0.1817    0.2008    5.7889    1.5340
+#> 219:    93.2264   -5.8439   -2.0757   -4.4549   -0.9364    0.1759    5.4970    3.2802    0.8966    4.6015    0.1819    0.2027    5.7804    1.5321
+#> 220:    93.2259   -5.8464   -2.0758   -4.4493   -0.9363    0.1771    5.4793    3.2944    0.8950    4.5498    0.1823    0.2049    5.7745    1.5344
+#> 221:    93.2243   -5.8505   -2.0768   -4.4443   -0.9367    0.1785    5.5360    3.3132    0.8924    4.5028    0.1829    0.2068    5.7556    1.5329
+#> 222:    93.2385   -5.8603   -2.0776   -4.4371   -0.9376    0.1800    5.5401    3.3878    0.8903    4.4416    0.1834    0.2096    5.7522    1.5317
+#> 223:    93.2339   -5.8634   -2.0780   -4.4309   -0.9377    0.1803    5.5522    3.4132    0.8882    4.3844    0.1838    0.2118    5.7457    1.5323
+#> 224:    93.2379   -5.8686   -2.0778   -4.4262   -0.9374    0.1803    5.5469    3.4421    0.8848    4.3375    0.1842    0.2137    5.7429    1.5323
+#> 225:    93.2329   -5.8654   -2.0784   -4.4222   -0.9373    0.1811    5.5553    3.4255    0.8843    4.2952    0.1848    0.2160    5.7452    1.5295
+#> 226:    93.2330   -5.8621   -2.0789   -4.4182   -0.9366    0.1816    5.5838    3.4123    0.8838    4.2565    0.1858    0.2176    5.7453    1.5284
+#> 227:    93.2309   -5.8549   -2.0794   -4.4153   -0.9365    0.1823    5.6720    3.3787    0.8827    4.2227    0.1866    0.2181    5.7339    1.5287
+#> 228:    93.2248   -5.8556   -2.0794   -4.4116   -0.9372    0.1832    5.7344    3.3780    0.8830    4.1863    0.1873    0.2200    5.7232    1.5308
+#> 229:    93.2215   -5.8615   -2.0798   -4.4081   -0.9373    0.1844    5.8478    3.4087    0.8821    4.1558    0.1878    0.2217    5.7174    1.5283
+#> 230:    93.2122   -5.8646   -2.0807   -4.4053   -0.9372    0.1858    5.8987    3.4233    0.8800    4.1288    0.1881    0.2233    5.7073    1.5272
+#> 231:    93.2080   -5.8665   -2.0816   -4.4025   -0.9372    0.1872    5.9544    3.4381    0.8782    4.1008    0.1883    0.2250    5.7006    1.5283
+#> 232:    93.1921   -5.8677   -2.0829   -4.3997   -0.9370    0.1887    5.9768    3.4440    0.8770    4.0748    0.1883    0.2268    5.7012    1.5261
+#> 233:    93.1794   -5.8674   -2.0840   -4.3972   -0.9363    0.1892    6.0074    3.4397    0.8757    4.0495    0.1884    0.2281    5.6997    1.5235
+#> 234:    93.1623   -5.8677   -2.0853   -4.3959   -0.9358    0.1898    5.9759    3.4442    0.8750    4.0330    0.1887    0.2295    5.7000    1.5223
+#> 235:    93.1499   -5.8709   -2.0862   -4.3918   -0.9356    0.1900    5.9951    3.4709    0.8747    4.0020    0.1891    0.2309    5.7002    1.5219
+#> 236:    93.1408   -5.8764   -2.0875   -4.3879   -0.9349    0.1898    6.0359    3.5027    0.8752    3.9720    0.1895    0.2321    5.7098    1.5196
+#> 237:    93.1307   -5.8766   -2.0887   -4.3843   -0.9344    0.1896    6.0589    3.5108    0.8755    3.9437    0.1900    0.2330    5.7176    1.5174
+#> 238:    93.1233   -5.8767   -2.0889   -4.3806   -0.9341    0.1891    6.0959    3.5158    0.8745    3.9173    0.1907    0.2339    5.7198    1.5169
+#> 239:    93.1245   -5.8810   -2.0889   -4.3775   -0.9337    0.1885    6.1196    3.5614    0.8746    3.8935    0.1915    0.2349    5.7177    1.5172
+#> 240:    93.1180   -5.8836   -2.0893   -4.3745   -0.9332    0.1883    6.1647    3.6004    0.8741    3.8709    0.1921    0.2360    5.7150    1.5192
+#> 241:    93.1096   -5.8838   -2.0898   -4.3714   -0.9327    0.1883    6.2283    3.6196    0.8743    3.8487    0.1927    0.2366    5.7177    1.5202
+#> 242:    93.1058   -5.8804   -2.0912   -4.3684   -0.9320    0.1888    6.2553    3.6018    0.8723    3.8274    0.1933    0.2378    5.7265    1.5198
+#> 243:    93.0953   -5.8762   -2.0924   -4.3668   -0.9315    0.1892    6.2692    3.5785    0.8705    3.8130    0.1940    0.2391    5.7353    1.5205
+#> 244:    93.0840   -5.8758   -2.0928   -4.3658   -0.9310    0.1889    6.2702    3.5746    0.8695    3.8007    0.1947    0.2401    5.7382    1.5205
+#> 245:    93.0720   -5.8795   -2.0933   -4.3647   -0.9306    0.1895    6.3022    3.5971    0.8685    3.7886    0.1953    0.2407    5.7367    1.5192
+#> 246:    93.0626   -5.8798   -2.0933   -4.3637   -0.9301    0.1898    6.2987    3.5992    0.8680    3.7781    0.1957    0.2410    5.7331    1.5184
+#> 247:    93.0526   -5.8805   -2.0934   -4.3610   -0.9298    0.1903    6.3067    3.6060    0.8682    3.7618    0.1963    0.2414    5.7329    1.5189
+#> 248:    93.0481   -5.8780   -2.0933   -4.3583   -0.9296    0.1911    6.3135    3.6007    0.8683    3.7460    0.1967    0.2420    5.7344    1.5191
+#> 249:    93.0483   -5.8762   -2.0933   -4.3558   -0.9294    0.1913    6.3095    3.5961    0.8685    3.7298    0.1970    0.2422    5.7414    1.5179
+#> 250:    93.0520   -5.8768   -2.0931   -4.3538   -0.9292    0.1912    6.2900    3.6003    0.8692    3.7176    0.1973    0.2424    5.7547    1.5148
+#> 251:    93.0430   -5.8769   -2.0930   -4.3516   -0.9291    0.1905    6.2815    3.6041    0.8704    3.7045    0.1975    0.2427    5.7653    1.5123
+#> 252:    93.0300   -5.8743   -2.0928   -4.3490   -0.9291    0.1901    6.2896    3.5885    0.8716    3.6919    0.1978    0.2428    5.7797    1.5106
+#> 253:    93.0217   -5.8740   -2.0926   -4.3468   -0.9289    0.1898    6.3238    3.5875    0.8731    3.6817    0.1981    0.2429    5.7885    1.5102
+#> 254:    93.0147   -5.8729   -2.0924   -4.3439   -0.9289    0.1892    6.3418    3.5857    0.8732    3.6683    0.1980    0.2426    5.7912    1.5102
+#> 255:    93.0144   -5.8743   -2.0922   -4.3407   -0.9290    0.1885    6.3755    3.5933    0.8735    3.6580    0.1979    0.2420    5.7932    1.5086
+#> 256:    93.0136   -5.8778   -2.0919   -4.3376   -0.9290    0.1876    6.3932    3.6240    0.8741    3.6481    0.1980    0.2418    5.7969    1.5066
+#> 257:    93.0116   -5.8792   -2.0917   -4.3345   -0.9291    0.1862    6.4096    3.6459    0.8744    3.6385    0.1980    0.2414    5.7990    1.5065
+#> 258:    93.0084   -5.8812   -2.0913   -4.3319   -0.9290    0.1842    6.4231    3.6686    0.8753    3.6281    0.1980    0.2414    5.8024    1.5050
+#> 259:    93.0090   -5.8866   -2.0909   -4.3293   -0.9287    0.1825    6.4361    3.7063    0.8762    3.6181    0.1981    0.2413    5.8106    1.5030
+#> 260:    93.0067   -5.8911   -2.0902   -4.3265   -0.9283    0.1811    6.4128    3.7384    0.8765    3.6076    0.1981    0.2412    5.8102    1.5026
+#> 261:    93.0060   -5.8933   -2.0894   -4.3237   -0.9284    0.1799    6.4253    3.7604    0.8765    3.5968    0.1981    0.2410    5.8080    1.5026
+#> 262:    93.0051   -5.8934   -2.0884   -4.3208   -0.9285    0.1789    6.4008    3.7597    0.8762    3.5855    0.1981    0.2412    5.8046    1.5020
+#> 263:    93.0019   -5.8945   -2.0875   -4.3182   -0.9287    0.1781    6.3788    3.7644    0.8758    3.5756    0.1982    0.2411    5.8048    1.5023
+#> 264:    93.0021   -5.8959   -2.0870   -4.3158   -0.9293    0.1773    6.3614    3.7682    0.8749    3.5667    0.1983    0.2410    5.8017    1.5021
+#> 265:    93.0053   -5.8989   -2.0866   -4.3130   -0.9296    0.1766    6.3506    3.7814    0.8739    3.5567    0.1982    0.2409    5.7995    1.5018
+#> 266:    93.0061   -5.8992   -2.0864   -4.3104   -0.9300    0.1757    6.3307    3.7730    0.8733    3.5471    0.1982    0.2408    5.7994    1.5012
+#> 267:    93.0098   -5.9009   -2.0861   -4.3077   -0.9302    0.1749    6.3326    3.7738    0.8730    3.5388    0.1983    0.2407    5.7964    1.5004
+#> 268:    93.0144   -5.9000   -2.0853   -4.3054   -0.9304    0.1740    6.3487    3.7623    0.8729    3.5290    0.1985    0.2405    5.7897    1.5014
+#> 269:    93.0146   -5.8984   -2.0847   -4.3032   -0.9306    0.1731    6.3716    3.7485    0.8735    3.5197    0.1985    0.2402    5.7867    1.5016
+#> 270:    93.0159   -5.8950   -2.0842   -4.3013   -0.9307    0.1722    6.3630    3.7266    0.8743    3.5098    0.1986    0.2400    5.7837    1.5016
+#> 271:    93.0161   -5.8925   -2.0837   -4.2995   -0.9309    0.1715    6.3539    3.7068    0.8744    3.5001    0.1986    0.2400    5.7843    1.5020
+#> 272:    93.0195   -5.8919   -2.0837   -4.2977   -0.9314    0.1710    6.3430    3.6964    0.8744    3.4922    0.1985    0.2400    5.7859    1.5031
+#> 273:    93.0184   -5.8923   -2.0837   -4.2961   -0.9318    0.1705    6.3531    3.6914    0.8743    3.4854    0.1984    0.2402    5.7880    1.5030
+#> 274:    93.0178   -5.8927   -2.0834   -4.2951   -0.9320    0.1701    6.3818    3.6865    0.8749    3.4824    0.1984    0.2403    5.7928    1.5020
+#> 275:    93.0204   -5.8937   -2.0833   -4.2942   -0.9324    0.1700    6.3961    3.6842    0.8754    3.4790    0.1984    0.2402    5.7949    1.5011
+#> 276:    93.0228   -5.8958   -2.0833   -4.2932   -0.9327    0.1699    6.3965    3.6870    0.8760    3.4752    0.1984    0.2402    5.7934    1.5002
+#> 277:    93.0251   -5.9000   -2.0833   -4.2921   -0.9329    0.1695    6.4076    3.7032    0.8766    3.4712    0.1985    0.2400    5.7979    1.4989
+#> 278:    93.0297   -5.9021   -2.0833   -4.2912   -0.9331    0.1690    6.4279    3.7073    0.8771    3.4671    0.1986    0.2399    5.7978    1.4981
+#> 279:    93.0273   -5.9021   -2.0832   -4.2902   -0.9332    0.1684    6.4349    3.7003    0.8779    3.4622    0.1988    0.2400    5.7993    1.4972
+#> 280:    93.0236   -5.9030   -2.0831   -4.2892   -0.9334    0.1674    6.4776    3.6986    0.8787    3.4576    0.1990    0.2401    5.8026    1.4963
+#> 281:    93.0172   -5.9037   -2.0829   -4.2881   -0.9337    0.1665    6.4942    3.6984    0.8797    3.4536    0.1992    0.2402    5.8056    1.4955
+#> 282:    93.0147   -5.9055   -2.0827   -4.2872   -0.9339    0.1656    6.4861    3.7031    0.8810    3.4492    0.1992    0.2403    5.8107    1.4954
+#> 283:    93.0138   -5.9053   -2.0824   -4.2865   -0.9341    0.1646    6.4962    3.6967    0.8822    3.4451    0.1993    0.2406    5.8142    1.4959
+#> 284:    93.0132   -5.9067   -2.0821   -4.2864   -0.9343    0.1636    6.5021    3.7013    0.8838    3.4437    0.1993    0.2406    5.8146    1.4955
+#> 285:    93.0138   -5.9081   -2.0819   -4.2859   -0.9343    0.1628    6.5037    3.7043    0.8851    3.4406    0.1994    0.2406    5.8146    1.4945
+#> 286:    93.0119   -5.9086   -2.0815   -4.2858   -0.9342    0.1620    6.5068    3.7037    0.8864    3.4395    0.1994    0.2404    5.8133    1.4936
+#> 287:    93.0122   -5.9089   -2.0813   -4.2860   -0.9342    0.1614    6.5202    3.7044    0.8872    3.4399    0.1997    0.2401    5.8096    1.4929
+#> 288:    93.0104   -5.9083   -2.0812   -4.2858   -0.9342    0.1609    6.5237    3.6997    0.8876    3.4376    0.1999    0.2398    5.8041    1.4924
+#> 289:    93.0076   -5.9066   -2.0812   -4.2854   -0.9342    0.1604    6.5121    3.6893    0.8881    3.4342    0.1999    0.2394    5.8021    1.4922
+#> 290:    93.0064   -5.9052   -2.0813   -4.2851   -0.9343    0.1602    6.5106    3.6772    0.8886    3.4309    0.2000    0.2389    5.7988    1.4915
+#> 291:    93.0071   -5.9031   -2.0813   -4.2849   -0.9345    0.1601    6.5031    3.6628    0.8891    3.4284    0.2000    0.2384    5.7959    1.4908
+#> 292:    93.0114   -5.9023   -2.0809   -4.2841   -0.9346    0.1594    6.4930    3.6538    0.8894    3.4237    0.2001    0.2383    5.7923    1.4902
+#> 293:    93.0148   -5.9032   -2.0807   -4.2834   -0.9348    0.1589    6.4836    3.6542    0.8898    3.4206    0.2002    0.2380    5.7893    1.4893
+#> 294:    93.0161   -5.9026   -2.0806   -4.2826   -0.9349    0.1582    6.4719    3.6469    0.8901    3.4176    0.2005    0.2375    5.7898    1.4886
+#> 295:    93.0212   -5.9008   -2.0806   -4.2817   -0.9350    0.1576    6.4649    3.6372    0.8904    3.4145    0.2007    0.2370    5.7885    1.4890
+#> 296:    93.0270   -5.8989   -2.0805   -4.2809   -0.9351    0.1569    6.4835    3.6279    0.8911    3.4124    0.2010    0.2366    5.7886    1.4884
+#> 297:    93.0291   -5.8969   -2.0803   -4.2800   -0.9352    0.1560    6.5014    3.6177    0.8915    3.4094    0.2012    0.2364    5.7873    1.4880
+#> 298:    93.0332   -5.8963   -2.0801   -4.2790   -0.9352    0.1551    6.5168    3.6111    0.8919    3.4065    0.2014    0.2361    5.7855    1.4875
+#> 299:    93.0339   -5.8961   -2.0799   -4.2782   -0.9352    0.1542    6.5288    3.6081    0.8927    3.4038    0.2015    0.2358    5.7844    1.4869
+#> 300:    93.0335   -5.8971   -2.0797   -4.2772   -0.9351    0.1533    6.5409    3.6097    0.8937    3.4009    0.2017    0.2356    5.7844    1.4859
+#> 301:    93.0320   -5.8979   -2.0796   -4.2762   -0.9350    0.1522    6.5553    3.6126    0.8945    3.3977    0.2020    0.2354    5.7898    1.4847
+#> 302:    93.0321   -5.8997   -2.0795   -4.2751   -0.9351    0.1513    6.5737    3.6195    0.8956    3.3943    0.2023    0.2351    5.7917    1.4835
+#> 303:    93.0328   -5.8984   -2.0792   -4.2739   -0.9351    0.1504    6.5888    3.6111    0.8964    3.3912    0.2025    0.2350    5.7915    1.4825
+#> 304:    93.0357   -5.8969   -2.0790   -4.2728   -0.9350    0.1494    6.5907    3.6018    0.8975    3.3882    0.2026    0.2348    5.7929    1.4813
+#> 305:    93.0351   -5.8953   -2.0786   -4.2718   -0.9349    0.1484    6.5764    3.5916    0.8986    3.3858    0.2027    0.2345    5.7937    1.4816
+#> 306:    93.0352   -5.8950   -2.0784   -4.2707   -0.9350    0.1475    6.5727    3.5890    0.8999    3.3835    0.2028    0.2341    5.7981    1.4810
+#> 307:    93.0354   -5.8947   -2.0784   -4.2699   -0.9351    0.1466    6.5759    3.5853    0.9010    3.3820    0.2030    0.2339    5.8028    1.4799
+#> 308:    93.0336   -5.8938   -2.0783   -4.2690   -0.9351    0.1459    6.5855    3.5776    0.9022    3.3809    0.2031    0.2333    5.8014    1.4788
+#> 309:    93.0311   -5.8931   -2.0780   -4.2683   -0.9351    0.1452    6.5799    3.5717    0.9038    3.3805    0.2033    0.2328    5.8048    1.4779
+#> 310:    93.0303   -5.8915   -2.0778   -4.2675   -0.9352    0.1447    6.5716    3.5609    0.9046    3.3797    0.2033    0.2323    5.8060    1.4774
+#> 311:    93.0275   -5.8915   -2.0776   -4.2668   -0.9352    0.1441    6.5679    3.5581    0.9052    3.3788    0.2034    0.2319    5.8056    1.4770
+#> 312:    93.0258   -5.8920   -2.0775   -4.2659   -0.9352    0.1435    6.5573    3.5571    0.9058    3.3775    0.2033    0.2314    5.8053    1.4766
+#> 313:    93.0234   -5.8928   -2.0773   -4.2649   -0.9353    0.1431    6.5510    3.5573    0.9065    3.3761    0.2033    0.2309    5.8046    1.4757
+#> 314:    93.0237   -5.8937   -2.0771   -4.2639   -0.9355    0.1425    6.5488    3.5578    0.9074    3.3747    0.2033    0.2303    5.8029    1.4751
+#> 315:    93.0237   -5.8940   -2.0769   -4.2629   -0.9357    0.1420    6.5480    3.5565    0.9081    3.3730    0.2034    0.2299    5.8010    1.4746
+#> 316:    93.0218   -5.8936   -2.0767   -4.2617   -0.9358    0.1413    6.5424    3.5517    0.9087    3.3705    0.2034    0.2296    5.7992    1.4741
+#> 317:    93.0218   -5.8932   -2.0766   -4.2606   -0.9359    0.1406    6.5576    3.5474    0.9091    3.3679    0.2034    0.2292    5.7965    1.4736
+#> 318:    93.0215   -5.8927   -2.0765   -4.2597   -0.9361    0.1402    6.5884    3.5420    0.9096    3.3661    0.2034    0.2288    5.7960    1.4727
+#> 319:    93.0201   -5.8938   -2.0764   -4.2588   -0.9361    0.1397    6.6095    3.5439    0.9101    3.3642    0.2034    0.2283    5.7943    1.4719
+#> 320:    93.0188   -5.8926   -2.0763   -4.2579   -0.9361    0.1392    6.6170    3.5368    0.9103    3.3622    0.2034    0.2282    5.7930    1.4711
+#> 321:    93.0155   -5.8908   -2.0762   -4.2569   -0.9361    0.1385    6.6328    3.5268    0.9105    3.3598    0.2033    0.2282    5.7921    1.4702
+#> 322:    93.0133   -5.8894   -2.0760   -4.2561   -0.9360    0.1378    6.6415    3.5192    0.9110    3.3580    0.2032    0.2282    5.7903    1.4698
+#> 323:    93.0089   -5.8888   -2.0759   -4.2555   -0.9360    0.1372    6.6480    3.5131    0.9107    3.3563    0.2031    0.2285    5.7915    1.4691
+#> 324:    93.0038   -5.8881   -2.0758   -4.2547   -0.9359    0.1364    6.6639    3.5076    0.9106    3.3547    0.2029    0.2287    5.7912    1.4687
+#> 325:    93.0011   -5.8871   -2.0756   -4.2540   -0.9359    0.1361    6.6587    3.5005    0.9102    3.3531    0.2028    0.2289    5.7896    1.4686
+#> 326:    93.0033   -5.8874   -2.0755   -4.2535   -0.9360    0.1360    6.6621    3.4995    0.9098    3.3510    0.2026    0.2294    5.7883    1.4686
+#> 327:    93.0039   -5.8885   -2.0754   -4.2532   -0.9361    0.1359    6.6589    3.5051    0.9093    3.3497    0.2025    0.2297    5.7869    1.4687
+#> 328:    93.0061   -5.8896   -2.0753   -4.2529   -0.9362    0.1355    6.6671    3.5132    0.9088    3.3484    0.2024    0.2299    5.7854    1.4687
+#> 329:    93.0077   -5.8915   -2.0755   -4.2525   -0.9363    0.1352    6.6719    3.5255    0.9085    3.3464    0.2024    0.2301    5.7850    1.4682
+#> 330:    93.0061   -5.8942   -2.0757   -4.2518   -0.9365    0.1351    6.6696    3.5399    0.9083    3.3438    0.2023    0.2302    5.7840    1.4680
+#> 331:    93.0032   -5.8953   -2.0759   -4.2513   -0.9366    0.1348    6.6554    3.5433    0.9080    3.3411    0.2022    0.2302    5.7839    1.4677
+#> 332:    93.0013   -5.8956   -2.0761   -4.2507   -0.9367    0.1347    6.6298    3.5423    0.9079    3.3385    0.2021    0.2302    5.7851    1.4672
+#> 333:    93.0026   -5.8950   -2.0764   -4.2502   -0.9368    0.1346    6.6207    3.5365    0.9078    3.3357    0.2021    0.2303    5.7849    1.4667
+#> 334:    93.0019   -5.8933   -2.0767   -4.2497   -0.9369    0.1348    6.6145    3.5259    0.9077    3.3330    0.2021    0.2302    5.7856    1.4662
+#> 335:    93.0038   -5.8930   -2.0768   -4.2492   -0.9370    0.1348    6.6200    3.5227    0.9078    3.3307    0.2020    0.2303    5.7845    1.4654
+#> 336:    93.0038   -5.8923   -2.0765   -4.2488   -0.9371    0.1348    6.6316    3.5180    0.9081    3.3291    0.2019    0.2304    5.7837    1.4654
+#> 337:    93.0074   -5.8927   -2.0764   -4.2485   -0.9373    0.1349    6.6509    3.5187    0.9083    3.3275    0.2018    0.2304    5.7808    1.4655
+#> 338:    93.0117   -5.8950   -2.0761   -4.2483   -0.9377    0.1349    6.6559    3.5291    0.9087    3.3263    0.2018    0.2303    5.7770    1.4657
+#> 339:    93.0172   -5.8960   -2.0759   -4.2482   -0.9380    0.1349    6.6610    3.5304    0.9090    3.3260    0.2017    0.2302    5.7744    1.4657
+#> 340:    93.0179   -5.8977   -2.0757   -4.2481   -0.9383    0.1349    6.6583    3.5340    0.9093    3.3263    0.2017    0.2301    5.7749    1.4650
+#> 341:    93.0201   -5.8986   -2.0755   -4.2484   -0.9386    0.1348    6.6603    3.5337    0.9092    3.3283    0.2018    0.2300    5.7738    1.4650
+#> 342:    93.0245   -5.8990   -2.0752   -4.2484   -0.9389    0.1348    6.6680    3.5324    0.9093    3.3297    0.2018    0.2300    5.7727    1.4649
+#> 343:    93.0302   -5.9006   -2.0751   -4.2484   -0.9391    0.1347    6.6715    3.5367    0.9093    3.3313    0.2017    0.2300    5.7729    1.4645
+#> 344:    93.0340   -5.9026   -2.0749   -4.2484   -0.9394    0.1346    6.6793    3.5438    0.9093    3.3326    0.2017    0.2301    5.7709    1.4646
+#> 345:    93.0372   -5.9049   -2.0746   -4.2484   -0.9397    0.1347    6.6874    3.5515    0.9090    3.3340    0.2017    0.2301    5.7688    1.4648
+#> 346:    93.0372   -5.9063   -2.0743   -4.2483   -0.9399    0.1348    6.6963    3.5592    0.9090    3.3348    0.2018    0.2299    5.7680    1.4656
+#> 347:    93.0383   -5.9075   -2.0742   -4.2481   -0.9402    0.1350    6.7101    3.5658    0.9093    3.3353    0.2018    0.2299    5.7672    1.4649
+#> 348:    93.0412   -5.9084   -2.0742   -4.2479   -0.9405    0.1351    6.7183    3.5707    0.9095    3.3356    0.2019    0.2297    5.7657    1.4645
+#> 349:    93.0436   -5.9097   -2.0742   -4.2477   -0.9407    0.1351    6.7143    3.5783    0.9098    3.3359    0.2019    0.2295    5.7646    1.4643
+#> 350:    93.0476   -5.9105   -2.0742   -4.2474   -0.9409    0.1351    6.7239    3.5808    0.9100    3.3354    0.2019    0.2294    5.7628    1.4639
+#> 351:    93.0506   -5.9113   -2.0741   -4.2473   -0.9411    0.1352    6.7270    3.5825    0.9103    3.3356    0.2019    0.2292    5.7604    1.4637
+#> 352:    93.0529   -5.9127   -2.0740   -4.2471   -0.9413    0.1353    6.7312    3.5886    0.9107    3.3358    0.2019    0.2290    5.7594    1.4634
+#> 353:    93.0580   -5.9139   -2.0739   -4.2470   -0.9415    0.1354    6.7315    3.5922    0.9111    3.3357    0.2019    0.2288    5.7571    1.4636
+#> 354:    93.0639   -5.9129   -2.0738   -4.2468   -0.9417    0.1354    6.7390    3.5876    0.9112    3.3356    0.2018    0.2286    5.7541    1.4642
+#> 355:    93.0671   -5.9131   -2.0737   -4.2467   -0.9417    0.1353    6.7348    3.5906    0.9113    3.3354    0.2017    0.2284    5.7520    1.4648
+#> 356:    93.0682   -5.9134   -2.0737   -4.2465   -0.9418    0.1352    6.7329    3.5962    0.9113    3.3353    0.2017    0.2283    5.7505    1.4649
+#> 357:    93.0698   -5.9128   -2.0738   -4.2471   -0.9418    0.1354    6.7397    3.5933    0.9115    3.3388    0.2016    0.2280    5.7512    1.4651
+#> 358:    93.0709   -5.9129   -2.0740   -4.2475   -0.9419    0.1355    6.7379    3.5915    0.9119    3.3416    0.2016    0.2278    5.7526    1.4644
+#> 359:    93.0718   -5.9128   -2.0742   -4.2478   -0.9419    0.1358    6.7428    3.5886    0.9123    3.3432    0.2015    0.2275    5.7516    1.4641
+#> 360:    93.0693   -5.9136   -2.0743   -4.2481   -0.9419    0.1360    6.7385    3.5930    0.9125    3.3443    0.2015    0.2272    5.7511    1.4636
+#> 361:    93.0674   -5.9148   -2.0744   -4.2484   -0.9419    0.1361    6.7230    3.6002    0.9127    3.3458    0.2015    0.2270    5.7514    1.4634
+#> 362:    93.0660   -5.9168   -2.0745   -4.2486   -0.9420    0.1361    6.7313    3.6117    0.9130    3.3473    0.2014    0.2270    5.7506    1.4636
+#> 363:    93.0635   -5.9196   -2.0746   -4.2490   -0.9421    0.1360    6.7388    3.6275    0.9132    3.3500    0.2014    0.2269    5.7493    1.4636
+#> 364:    93.0631   -5.9210   -2.0747   -4.2497   -0.9421    0.1361    6.7383    3.6323    0.9135    3.3548    0.2015    0.2268    5.7483    1.4634
+#> 365:    93.0635   -5.9219   -2.0747   -4.2504   -0.9421    0.1361    6.7402    3.6341    0.9137    3.3590    0.2015    0.2268    5.7461    1.4635
+#> 366:    93.0640   -5.9232   -2.0746   -4.2511   -0.9422    0.1362    6.7477    3.6409    0.9142    3.3624    0.2015    0.2267    5.7451    1.4641
+#> 367:    93.0616   -5.9247   -2.0746   -4.2518   -0.9422    0.1364    6.7557    3.6473    0.9148    3.3653    0.2015    0.2269    5.7472    1.4640
+#> 368:    93.0601   -5.9247   -2.0746   -4.2522   -0.9422    0.1366    6.7632    3.6452    0.9150    3.3678    0.2015    0.2270    5.7482    1.4639
+#> 369:    93.0583   -5.9240   -2.0748   -4.2527   -0.9423    0.1369    6.7737    3.6395    0.9148    3.3695    0.2015    0.2273    5.7499    1.4636
+#> 370:    93.0591   -5.9236   -2.0752   -4.2532   -0.9423    0.1373    6.7721    3.6352    0.9145    3.3718    0.2015    0.2276    5.7513    1.4636
+#> 371:    93.0607   -5.9235   -2.0755   -4.2540   -0.9424    0.1378    6.7682    3.6330    0.9143    3.3754    0.2015    0.2280    5.7535    1.4635
+#> 372:    93.0615   -5.9229   -2.0759   -4.2549   -0.9424    0.1382    6.7640    3.6288    0.9142    3.3795    0.2014    0.2284    5.7553    1.4633
+#> 373:    93.0612   -5.9237   -2.0763   -4.2557   -0.9424    0.1385    6.7641    3.6327    0.9140    3.3832    0.2012    0.2288    5.7570    1.4629
+#> 374:    93.0611   -5.9240   -2.0766   -4.2565   -0.9424    0.1389    6.7701    3.6341    0.9137    3.3872    0.2011    0.2293    5.7599    1.4625
+#> 375:    93.0615   -5.9247   -2.0770   -4.2573   -0.9424    0.1393    6.7729    3.6362    0.9134    3.3912    0.2009    0.2296    5.7629    1.4620
+#> 376:    93.0621   -5.9248   -2.0772   -4.2578   -0.9425    0.1397    6.7732    3.6371    0.9132    3.3931    0.2008    0.2298    5.7654    1.4613
+#> 377:    93.0622   -5.9255   -2.0774   -4.2582   -0.9426    0.1401    6.7681    3.6389    0.9130    3.3953    0.2007    0.2300    5.7678    1.4607
+#> 378:    93.0609   -5.9256   -2.0775   -4.2585   -0.9426    0.1402    6.7705    3.6381    0.9128    3.3972    0.2006    0.2301    5.7673    1.4602
+#> 379:    93.0590   -5.9262   -2.0776   -4.2589   -0.9426    0.1404    6.7777    3.6382    0.9127    3.3991    0.2005    0.2303    5.7668    1.4599
+#> 380:    93.0607   -5.9258   -2.0777   -4.2595   -0.9427    0.1407    6.7836    3.6350    0.9127    3.4031    0.2004    0.2305    5.7665    1.4598
+#> 381:    93.0617   -5.9251   -2.0777   -4.2596   -0.9427    0.1410    6.7880    3.6294    0.9125    3.4030    0.2003    0.2307    5.7651    1.4601
+#> 382:    93.0631   -5.9252   -2.0777   -4.2599   -0.9428    0.1413    6.7912    3.6278    0.9123    3.4038    0.2002    0.2310    5.7649    1.4606
+#> 383:    93.0621   -5.9253   -2.0778   -4.2602   -0.9429    0.1415    6.7834    3.6279    0.9119    3.4053    0.2000    0.2312    5.7657    1.4607
+#> 384:    93.0614   -5.9254   -2.0779   -4.2604   -0.9430    0.1416    6.7853    3.6280    0.9115    3.4066    0.1999    0.2313    5.7662    1.4608
+#> 385:    93.0613   -5.9259   -2.0780   -4.2605   -0.9430    0.1418    6.7757    3.6301    0.9112    3.4066    0.1997    0.2315    5.7678    1.4609
+#> 386:    93.0614   -5.9264   -2.0780   -4.2607   -0.9431    0.1418    6.7610    3.6331    0.9110    3.4073    0.1995    0.2317    5.7696    1.4612
+#> 387:    93.0631   -5.9276   -2.0780   -4.2610   -0.9432    0.1420    6.7595    3.6397    0.9108    3.4085    0.1993    0.2318    5.7716    1.4612
+#> 388:    93.0650   -5.9282   -2.0779   -4.2613   -0.9433    0.1421    6.7552    3.6445    0.9106    3.4092    0.1992    0.2318    5.7731    1.4612
+#> 389:    93.0644   -5.9286   -2.0779   -4.2616   -0.9434    0.1422    6.7488    3.6471    0.9104    3.4098    0.1991    0.2317    5.7724    1.4614
+#> 390:    93.0653   -5.9297   -2.0778   -4.2619   -0.9435    0.1423    6.7412    3.6524    0.9101    3.4103    0.1990    0.2317    5.7722    1.4615
+#> 391:    93.0647   -5.9297   -2.0778   -4.2623   -0.9435    0.1425    6.7508    3.6524    0.9101    3.4115    0.1989    0.2317    5.7729    1.4621
+#> 392:    93.0637   -5.9293   -2.0778   -4.2624   -0.9436    0.1427    6.7572    3.6498    0.9102    3.4109    0.1988    0.2317    5.7727    1.4623
+#> 393:    93.0657   -5.9294   -2.0778   -4.2632   -0.9436    0.1429    6.7607    3.6496    0.9104    3.4148    0.1987    0.2318    5.7719    1.4621
+#> 394:    93.0689   -5.9293   -2.0779   -4.2635   -0.9438    0.1431    6.7635    3.6489    0.9108    3.4141    0.1987    0.2318    5.7724    1.4623
+#> 395:    93.0705   -5.9295   -2.0780   -4.2640   -0.9438    0.1433    6.7753    3.6500    0.9110    3.4145    0.1986    0.2319    5.7724    1.4622
+#> 396:    93.0704   -5.9296   -2.0780   -4.2648   -0.9438    0.1435    6.7793    3.6511    0.9112    3.4175    0.1985    0.2319    5.7720    1.4618
+#> 397:    93.0715   -5.9302   -2.0781   -4.2656   -0.9438    0.1437    6.7782    3.6530    0.9114    3.4206    0.1985    0.2320    5.7706    1.4617
+#> 398:    93.0719   -5.9297   -2.0781   -4.2666   -0.9438    0.1439    6.7774    3.6510    0.9120    3.4258    0.1984    0.2319    5.7709    1.4616
+#> 399:    93.0720   -5.9296   -2.0781   -4.2678   -0.9438    0.1441    6.7819    3.6526    0.9126    3.4317    0.1984    0.2319    5.7717    1.4615
+#> 400:    93.0730   -5.9296   -2.0783   -4.2691   -0.9438    0.1443    6.7786    3.6538    0.9129    3.4389    0.1983    0.2319    5.7716    1.4614
+#> 401:    93.0728   -5.9292   -2.0783   -4.2706   -0.9437    0.1445    6.7731    3.6521    0.9133    3.4478    0.1982    0.2319    5.7701    1.4615
+#> 402:    93.0732   -5.9289   -2.0784   -4.2718   -0.9438    0.1447    6.7698    3.6517    0.9137    3.4542    0.1981    0.2319    5.7689    1.4618
+#> 403:    93.0732   -5.9301   -2.0785   -4.2730   -0.9438    0.1450    6.7640    3.6576    0.9142    3.4593    0.1980    0.2320    5.7693    1.4615
+#> 404:    93.0710   -5.9316   -2.0787   -4.2740   -0.9439    0.1453    6.7544    3.6647    0.9147    3.4644    0.1979    0.2320    5.7708    1.4611
+#> 405:    93.0687   -5.9322   -2.0788   -4.2750   -0.9440    0.1454    6.7547    3.6663    0.9153    3.4693    0.1978    0.2322    5.7714    1.4608
+#> 406:    93.0673   -5.9337   -2.0789   -4.2760   -0.9440    0.1456    6.7563    3.6726    0.9163    3.4742    0.1977    0.2324    5.7718    1.4603
+#> 407:    93.0653   -5.9345   -2.0791   -4.2769   -0.9440    0.1456    6.7601    3.6756    0.9169    3.4786    0.1976    0.2327    5.7732    1.4598
+#> 408:    93.0640   -5.9357   -2.0793   -4.2779   -0.9440    0.1455    6.7547    3.6821    0.9177    3.4838    0.1974    0.2329    5.7751    1.4592
+#> 409:    93.0646   -5.9371   -2.0795   -4.2784   -0.9440    0.1456    6.7486    3.6915    0.9184    3.4863    0.1973    0.2330    5.7766    1.4588
+#> 410:    93.0639   -5.9391   -2.0797   -4.2791   -0.9441    0.1457    6.7523    3.7048    0.9192    3.4889    0.1972    0.2329    5.7770    1.4582
+#> 411:    93.0628   -5.9401   -2.0799   -4.2799   -0.9442    0.1457    6.7529    3.7113    0.9199    3.4929    0.1972    0.2329    5.7761    1.4580
+#> 412:    93.0620   -5.9402   -2.0801   -4.2808   -0.9443    0.1458    6.7502    3.7099    0.9207    3.4972    0.1971    0.2328    5.7767    1.4577
+#> 413:    93.0628   -5.9403   -2.0804   -4.2816   -0.9443    0.1461    6.7466    3.7091    0.9214    3.5007    0.1970    0.2326    5.7771    1.4572
+#> 414:    93.0627   -5.9405   -2.0807   -4.2825   -0.9443    0.1463    6.7480    3.7089    0.9221    3.5048    0.1969    0.2325    5.7774    1.4567
+#> 415:    93.0614   -5.9402   -2.0810   -4.2836   -0.9443    0.1465    6.7474    3.7066    0.9226    3.5098    0.1969    0.2323    5.7780    1.4564
+#> 416:    93.0610   -5.9408   -2.0813   -4.2848   -0.9443    0.1469    6.7544    3.7116    0.9229    3.5157    0.1968    0.2321    5.7786    1.4559
+#> 417:    93.0601   -5.9413   -2.0815   -4.2860   -0.9443    0.1471    6.7592    3.7158    0.9234    3.5206    0.1967    0.2319    5.7793    1.4556
+#> 418:    93.0606   -5.9424   -2.0817   -4.2868   -0.9444    0.1473    6.7589    3.7214    0.9238    3.5237    0.1966    0.2318    5.7787    1.4553
+#> 419:    93.0605   -5.9433   -2.0818   -4.2877   -0.9444    0.1476    6.7641    3.7253    0.9242    3.5274    0.1965    0.2316    5.7780    1.4552
+#> 420:    93.0623   -5.9427   -2.0819   -4.2886   -0.9445    0.1478    6.7593    3.7216    0.9246    3.5310    0.1965    0.2314    5.7772    1.4551
+#> 421:    93.0630   -5.9418   -2.0819   -4.2895   -0.9445    0.1480    6.7489    3.7166    0.9250    3.5337    0.1964    0.2312    5.7764    1.4552
+#> 422:    93.0626   -5.9410   -2.0820   -4.2900   -0.9445    0.1482    6.7452    3.7124    0.9253    3.5350    0.1963    0.2311    5.7758    1.4549
+#> 423:    93.0629   -5.9407   -2.0822   -4.2906   -0.9446    0.1484    6.7409    3.7095    0.9256    3.5360    0.1963    0.2309    5.7753    1.4546
+#> 424:    93.0637   -5.9404   -2.0821   -4.2912   -0.9446    0.1485    6.7387    3.7073    0.9258    3.5370    0.1962    0.2308    5.7733    1.4546
+#> 425:    93.0625   -5.9402   -2.0821   -4.2917   -0.9447    0.1486    6.7330    3.7061    0.9258    3.5381    0.1961    0.2306    5.7722    1.4548
+#> 426:    93.0624   -5.9399   -2.0820   -4.2921   -0.9447    0.1487    6.7256    3.7034    0.9259    3.5387    0.1961    0.2304    5.7719    1.4545
+#> 427:    93.0606   -5.9397   -2.0821   -4.2925   -0.9447    0.1488    6.7139    3.7010    0.9257    3.5394    0.1961    0.2301    5.7730    1.4545
+#> 428:    93.0601   -5.9394   -2.0822   -4.2929   -0.9447    0.1489    6.7062    3.6984    0.9256    3.5405    0.1961    0.2298    5.7723    1.4543
+#> 429:    93.0615   -5.9391   -2.0821   -4.2933   -0.9447    0.1490    6.7040    3.6956    0.9254    3.5412    0.1960    0.2297    5.7714    1.4544
+#> 430:    93.0654   -5.9389   -2.0820   -4.2934   -0.9448    0.1491    6.7016    3.6934    0.9253    3.5412    0.1960    0.2295    5.7710    1.4546
+#> 431:    93.0674   -5.9392   -2.0819   -4.2936   -0.9449    0.1491    6.6946    3.6935    0.9252    3.5414    0.1960    0.2294    5.7699    1.4547
+#> 432:    93.0683   -5.9401   -2.0818   -4.2938   -0.9450    0.1491    6.6895    3.6960    0.9250    3.5417    0.1961    0.2292    5.7687    1.4549
+#> 433:    93.0693   -5.9411   -2.0815   -4.2942   -0.9451    0.1491    6.6826    3.7003    0.9254    3.5433    0.1961    0.2291    5.7679    1.4549
+#> 434:    93.0720   -5.9410   -2.0813   -4.2945   -0.9452    0.1491    6.6842    3.6998    0.9258    3.5440    0.1960    0.2290    5.7662    1.4548
+#> 435:    93.0735   -5.9417   -2.0811   -4.2947   -0.9453    0.1490    6.6907    3.7029    0.9261    3.5446    0.1960    0.2290    5.7651    1.4548
+#> 436:    93.0752   -5.9430   -2.0809   -4.2949   -0.9454    0.1489    6.6939    3.7083    0.9266    3.5459    0.1959    0.2290    5.7638    1.4547
+#> 437:    93.0774   -5.9442   -2.0807   -4.2952   -0.9455    0.1487    6.7016    3.7147    0.9270    3.5474    0.1960    0.2290    5.7624    1.4550
+#> 438:    93.0795   -5.9453   -2.0805   -4.2954   -0.9456    0.1485    6.7089    3.7212    0.9275    3.5491    0.1959    0.2291    5.7614    1.4551
+#> 439:    93.0816   -5.9467   -2.0802   -4.2956   -0.9457    0.1484    6.7230    3.7291    0.9281    3.5503    0.1959    0.2293    5.7616    1.4551
+#> 440:    93.0834   -5.9475   -2.0800   -4.2957   -0.9458    0.1480    6.7306    3.7340    0.9287    3.5512    0.1960    0.2295    5.7631    1.4551
+#> 441:    93.0855   -5.9480   -2.0797   -4.2961   -0.9459    0.1478    6.7436    3.7373    0.9292    3.5534    0.1960    0.2299    5.7642    1.4553
+#> 442:    93.0885   -5.9488   -2.0793   -4.2963   -0.9460    0.1474    6.7533    3.7419    0.9297    3.5546    0.1960    0.2304    5.7630    1.4554
+#> 443:    93.0907   -5.9497   -2.0789   -4.2967   -0.9461    0.1471    6.7641    3.7469    0.9304    3.5570    0.1960    0.2308    5.7616    1.4554
+#> 444:    93.0905   -5.9504   -2.0785   -4.2972   -0.9462    0.1467    6.7570    3.7486    0.9312    3.5601    0.1960    0.2311    5.7604    1.4553
+#> 445:    93.0903   -5.9515   -2.0782   -4.2977   -0.9462    0.1462    6.7547    3.7543    0.9319    3.5635    0.1960    0.2314    5.7595    1.4550
+#> 446:    93.0902   -5.9530   -2.0778   -4.2982   -0.9462    0.1459    6.7562    3.7615    0.9325    3.5664    0.1960    0.2316    5.7580    1.4548
+#> 447:    93.0905   -5.9541   -2.0775   -4.2990   -0.9463    0.1455    6.7639    3.7668    0.9333    3.5719    0.1960    0.2318    5.7574    1.4543
+#> 448:    93.0912   -5.9555   -2.0772   -4.2999   -0.9463    0.1452    6.7671    3.7736    0.9340    3.5783    0.1960    0.2322    5.7572    1.4540
+#> 449:    93.0918   -5.9570   -2.0769   -4.3004   -0.9464    0.1448    6.7824    3.7802    0.9345    3.5809    0.1960    0.2326    5.7561    1.4537
+#> 450:    93.0901   -5.9579   -2.0766   -4.3011   -0.9464    0.1444    6.7866    3.7829    0.9351    3.5853    0.1959    0.2329    5.7551    1.4536
+#> 451:    93.0899   -5.9594   -2.0763   -4.3016   -0.9465    0.1439    6.7875    3.7896    0.9356    3.5888    0.1959    0.2332    5.7550    1.4537
+#> 452:    93.0902   -5.9603   -2.0759   -4.3023   -0.9465    0.1435    6.7953    3.7926    0.9363    3.5927    0.1958    0.2335    5.7537    1.4538
+#> 453:    93.0906   -5.9615   -2.0755   -4.3026   -0.9465    0.1430    6.7996    3.7982    0.9372    3.5950    0.1958    0.2338    5.7531    1.4539
+#> 454:    93.0909   -5.9614   -2.0751   -4.3029   -0.9465    0.1425    6.8016    3.7969    0.9381    3.5976    0.1958    0.2340    5.7532    1.4540
+#> 455:    93.0909   -5.9610   -2.0749   -4.3035   -0.9464    0.1420    6.8022    3.7940    0.9391    3.6022    0.1957    0.2342    5.7532    1.4539
+#> 456:    93.0916   -5.9600   -2.0746   -4.3045   -0.9463    0.1416    6.7942    3.7893    0.9398    3.6104    0.1957    0.2344    5.7540    1.4537
+#> 457:    93.0905   -5.9595   -2.0744   -4.3058   -0.9463    0.1411    6.7931    3.7866    0.9407    3.6210    0.1956    0.2345    5.7551    1.4534
+#> 458:    93.0905   -5.9597   -2.0742   -4.3071   -0.9462    0.1407    6.7877    3.7882    0.9416    3.6327    0.1955    0.2347    5.7566    1.4532
+#> 459:    93.0895   -5.9598   -2.0741   -4.3078   -0.9461    0.1402    6.7884    3.7889    0.9425    3.6383    0.1955    0.2349    5.7601    1.4527
+#> 460:    93.0871   -5.9602   -2.0741   -4.3086   -0.9460    0.1398    6.7889    3.7912    0.9434    3.6439    0.1954    0.2350    5.7619    1.4522
+#> 461:    93.0854   -5.9613   -2.0739   -4.3091   -0.9459    0.1393    6.7813    3.7973    0.9440    3.6481    0.1953    0.2351    5.7620    1.4520
+#> 462:    93.0838   -5.9623   -2.0737   -4.3093   -0.9458    0.1388    6.7791    3.8037    0.9445    3.6498    0.1953    0.2353    5.7616    1.4518
+#> 463:    93.0816   -5.9629   -2.0734   -4.3095   -0.9457    0.1384    6.7733    3.8070    0.9451    3.6508    0.1952    0.2355    5.7626    1.4519
+#> 464:    93.0792   -5.9631   -2.0731   -4.3095   -0.9457    0.1379    6.7697    3.8081    0.9460    3.6507    0.1951    0.2358    5.7638    1.4518
+#> 465:    93.0775   -5.9633   -2.0728   -4.3095   -0.9456    0.1374    6.7717    3.8095    0.9466    3.6506    0.1950    0.2361    5.7647    1.4519
+#> 466:    93.0774   -5.9640   -2.0725   -4.3097   -0.9455    0.1368    6.7686    3.8141    0.9473    3.6516    0.1949    0.2363    5.7662    1.4516
+#> 467:    93.0773   -5.9646   -2.0722   -4.3100   -0.9454    0.1364    6.7668    3.8172    0.9480    3.6535    0.1948    0.2366    5.7671    1.4516
+#> 468:    93.0777   -5.9653   -2.0719   -4.3106   -0.9453    0.1358    6.7648    3.8226    0.9487    3.6566    0.1947    0.2371    5.7681    1.4514
+#> 469:    93.0778   -5.9657   -2.0717   -4.3112   -0.9453    0.1353    6.7617    3.8253    0.9495    3.6588    0.1947    0.2375    5.7686    1.4510
+#> 470:    93.0769   -5.9663   -2.0715   -4.3117   -0.9452    0.1347    6.7650    3.8278    0.9503    3.6613    0.1947    0.2379    5.7688    1.4506
+#> 471:    93.0749   -5.9664   -2.0714   -4.3123   -0.9451    0.1342    6.7708    3.8280    0.9510    3.6643    0.1947    0.2383    5.7699    1.4505
+#> 472:    93.0721   -5.9668   -2.0713   -4.3127   -0.9450    0.1337    6.7756    3.8284    0.9517    3.6665    0.1947    0.2386    5.7710    1.4501
+#> 473:    93.0696   -5.9670   -2.0713   -4.3133   -0.9449    0.1333    6.7784    3.8280    0.9522    3.6698    0.1947    0.2388    5.7716    1.4498
+#> 474:    93.0674   -5.9673   -2.0714   -4.3138   -0.9448    0.1329    6.7761    3.8281    0.9527    3.6731    0.1947    0.2390    5.7729    1.4496
+#> 475:    93.0655   -5.9679   -2.0714   -4.3143   -0.9447    0.1324    6.7779    3.8302    0.9531    3.6762    0.1947    0.2391    5.7743    1.4493
+#> 476:    93.0643   -5.9682   -2.0713   -4.3144   -0.9447    0.1321    6.7776    3.8314    0.9536    3.6768    0.1946    0.2391    5.7762    1.4492
+#> 477:    93.0631   -5.9684   -2.0714   -4.3146   -0.9446    0.1317    6.7725    3.8326    0.9540    3.6787    0.1945    0.2392    5.7768    1.4492
+#> 478:    93.0630   -5.9693   -2.0715   -4.3148   -0.9447    0.1314    6.7626    3.8365    0.9543    3.6788    0.1944    0.2395    5.7785    1.4492
+#> 479:    93.0634   -5.9710   -2.0714   -4.3148   -0.9447    0.1310    6.7499    3.8462    0.9547    3.6778    0.1943    0.2399    5.7798    1.4490
+#> 480:    93.0651   -5.9732   -2.0715   -4.3147   -0.9447    0.1307    6.7463    3.8616    0.9548    3.6770    0.1943    0.2403    5.7810    1.4488
+#> 481:    93.0664   -5.9747   -2.0715   -4.3149   -0.9447    0.1304    6.7442    3.8722    0.9550    3.6780    0.1941    0.2409    5.7811    1.4487
+#> 482:    93.0647   -5.9762   -2.0714   -4.3151   -0.9447    0.1300    6.7389    3.8834    0.9554    3.6784    0.1941    0.2414    5.7816    1.4484
+#> 483:    93.0628   -5.9778   -2.0714   -4.3153   -0.9447    0.1295    6.7352    3.8943    0.9557    3.6783    0.1940    0.2419    5.7820    1.4483
+#> 484:    93.0614   -5.9787   -2.0715   -4.3153   -0.9447    0.1291    6.7314    3.8999    0.9559    3.6774    0.1939    0.2424    5.7819    1.4481
+#> 485:    93.0593   -5.9789   -2.0715   -4.3153   -0.9447    0.1288    6.7293    3.9007    0.9561    3.6765    0.1938    0.2430    5.7815    1.4480
+#> 486:    93.0575   -5.9793   -2.0716   -4.3152   -0.9447    0.1284    6.7331    3.9021    0.9563    3.6753    0.1938    0.2434    5.7806    1.4480
+#> 487:    93.0555   -5.9796   -2.0716   -4.3152   -0.9447    0.1281    6.7342    3.9036    0.9566    3.6741    0.1937    0.2439    5.7805    1.4479
+#> 488:    93.0545   -5.9795   -2.0716   -4.3152   -0.9447    0.1277    6.7365    3.9024    0.9569    3.6729    0.1937    0.2444    5.7795    1.4480
+#> 489:    93.0550   -5.9800   -2.0716   -4.3152   -0.9447    0.1274    6.7336    3.9046    0.9571    3.6719    0.1937    0.2448    5.7778    1.4481
+#> 490:    93.0571   -5.9793   -2.0715   -4.3152   -0.9447    0.1272    6.7331    3.9009    0.9573    3.6704    0.1936    0.2450    5.7767    1.4484
+#> 491:    93.0584   -5.9787   -2.0714   -4.3151   -0.9447    0.1270    6.7280    3.8980    0.9575    3.6688    0.1936    0.2452    5.7764    1.4487
+#> 492:    93.0589   -5.9786   -2.0714   -4.3150   -0.9447    0.1267    6.7264    3.8971    0.9578    3.6675    0.1936    0.2455    5.7759    1.4489
+#> 493:    93.0593   -5.9790   -2.0711   -4.3149   -0.9447    0.1265    6.7273    3.8982    0.9584    3.6660    0.1935    0.2456    5.7759    1.4490
+#> 494:    93.0594   -5.9805   -2.0710   -4.3149   -0.9448    0.1263    6.7291    3.9066    0.9590    3.6650    0.1935    0.2457    5.7758    1.4489
+#> 495:    93.0596   -5.9816   -2.0709   -4.3148   -0.9448    0.1261    6.7281    3.9123    0.9593    3.6639    0.1936    0.2459    5.7745    1.4490
+#> 496:    93.0590   -5.9829   -2.0707   -4.3148   -0.9448    0.1259    6.7319    3.9227    0.9597    3.6628    0.1936    0.2461    5.7740    1.4491
+#> 497:    93.0580   -5.9842   -2.0706   -4.3148   -0.9448    0.1257    6.7388    3.9326    0.9600    3.6623    0.1936    0.2463    5.7732    1.4492
+#> 498:    93.0578   -5.9848   -2.0705   -4.3148   -0.9448    0.1255    6.7447    3.9368    0.9605    3.6618    0.1936    0.2464    5.7726    1.4494
+#> 499:    93.0568   -5.9843   -2.0704   -4.3147   -0.9447    0.1253    6.7475    3.9341    0.9609    3.6612    0.1937    0.2467    5.7718    1.4495
+#> 500:    93.0563   -5.9831   -2.0703   -4.3147   -0.9447    0.1251    6.7500    3.9292    0.9614    3.6607    0.1937    0.2469    5.7712    1.4496
+#> Calculating covariance matrix
+#> 
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> Needed Covariates:
+#> [1] "CMT"
+#> Calculating residuals/tables
+#> done
+f_nlmixr_dfop_sfo_focei_obs <- nlmixr(f_mmkin_obs["DFOP-SFO", ], est = "focei")
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → calculate jacobian
+#> 
+#> → calculate sensitivities
+#> 
+#> → calculate ∂(f)/∂(η)
+#> 
+#> → calculate ∂(R²)/∂(η)
+#> 
+#> → finding duplicate expressions in inner model...
+#> 
+#> → optimizing duplicate expressions in inner model...
+#> 
+#> → finding duplicate expressions in EBE model...
+#> 
+#> → optimizing duplicate expressions in EBE model...
+#> 
+#> → compiling inner model...
+#>  
+#> ✔ done
+#> → finding duplicate expressions in FD model...
+#> 
+#> → optimizing duplicate expressions in FD model...
+#> 
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> → compiling events FD model...
+#>  
+#> ✔ done
+#> Needed Covariates:
+#> [1] "CMT"
+#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
+#> F: Forward difference gradient approximation
+#> C: Central difference gradient approximation
+#> M: Mixed forward and central difference gradient approximation
+#> Unscaled parameters for Omegas=chol(solve(omega));
+#> Diagonals are transformed, as specified by foceiControl(diagXform=)
+#> |-----+---------------+-----------+-----------+-----------+-----------|
+#> |    #| Objective Fun |  parent_0 |  log_k_A1 |f_parent_qlogis |    log_k1 |
+#> |.....................|    log_k2 |  g_qlogis |sigma_parent |  sigma_A1 |
+#> |.....................|        o1 |        o2 |        o3 |        o4 |
+#> |.....................|        o5 |        o6 |...........|...........|
+#> |    1|     488.98943 |     1.000 |    -1.000 |   -0.9115 |   -0.9329 |
+#> |.....................|   -0.9817 |   -0.8883 |   -0.8515 |   -0.8698 |
+#> |.....................|   -0.8775 |   -0.8743 |   -0.8683 |   -0.8723 |
+#> |.....................|   -0.8746 |   -0.8685 |...........|...........|
+#> |    U|     488.98943 |     93.00 |    -5.300 |   -0.9500 |    -2.000 |
+#> |.....................|    -4.400 |    0.1900 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |    X|     488.98943 |     93.00 |  0.004992 |    0.2789 |    0.1353 |
+#> |.....................|   0.01228 |    0.5474 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |    G|    Gill Diff. |    -27.68 |     2.403 |   -0.1248 |   -0.3242 |
+#> |.....................|   -0.3705 |   0.07384 |    -31.92 |    -15.13 |
+#> |.....................|     14.74 |     13.03 |    -12.01 |    -2.072 |
+#> |.....................|     5.553 |    -10.09 |...........|...........|
+#> |    2|     1205.4696 |     1.534 |    -1.046 |   -0.9091 |   -0.9266 |
+#> |.....................|   -0.9745 |   -0.8897 |   -0.2358 |   -0.5780 |
+#> |.....................|    -1.162 |    -1.126 |   -0.6367 |   -0.8323 |
+#> |.....................|   -0.9817 |   -0.6738 |...........|...........|
+#> |    U|     1205.4696 |     142.6 |    -5.346 |   -0.9477 |    -1.994 |
+#> |.....................|    -4.393 |    0.1897 |     2.616 |     1.260 |
+#> |.....................|    0.5160 |    0.6557 |     1.444 |     1.015 |
+#> |.....................|    0.7709 |     1.387 |...........|...........|
+#> |    X|     1205.4696 |     142.6 |  0.004766 |    0.2793 |    0.1362 |
+#> |.....................|   0.01237 |    0.5473 |     2.616 |     1.260 |
+#> |.....................|    0.5160 |    0.6557 |     1.444 |     1.015 |
+#> |.....................|    0.7709 |     1.387 |...........|...........|
+#> |    3|     510.70816 |     1.053 |    -1.005 |   -0.9113 |   -0.9322 |
+#> |.....................|   -0.9810 |   -0.8884 |   -0.7899 |   -0.8406 |
+#> |.....................|   -0.9059 |   -0.8995 |   -0.8452 |   -0.8683 |
+#> |.....................|   -0.8853 |   -0.8491 |...........|...........|
+#> |    U|     510.70816 |     97.96 |    -5.305 |   -0.9498 |    -1.999 |
+#> |.....................|    -4.399 |    0.1900 |     2.062 |     1.116 |
+#> |.....................|    0.7005 |    0.8538 |     1.199 |    0.9804 |
+#> |.....................|    0.8541 |     1.184 |...........|...........|
+#> |    X|     510.70816 |     97.96 |  0.004969 |    0.2789 |    0.1354 |
+#> |.....................|   0.01229 |    0.5474 |     2.062 |     1.116 |
+#> |.....................|    0.7005 |    0.8538 |     1.199 |    0.9804 |
+#> |.....................|    0.8541 |     1.184 |...........|...........|
+#> |    4|     494.11470 |     1.005 |    -1.000 |   -0.9115 |   -0.9328 |
+#> |.....................|   -0.9816 |   -0.8883 |   -0.8453 |   -0.8669 |
+#> |.....................|   -0.8803 |   -0.8769 |   -0.8660 |   -0.8719 |
+#> |.....................|   -0.8757 |   -0.8666 |...........|...........|
+#> |    U|      494.1147 |     93.50 |    -5.300 |   -0.9500 |    -2.000 |
+#> |.....................|    -4.400 |    0.1900 |     2.006 |     1.102 |
+#> |.....................|    0.7190 |    0.8736 |     1.175 |    0.9768 |
+#> |.....................|    0.8624 |     1.163 |...........|...........|
+#> |    X|      494.1147 |     93.50 |  0.004989 |    0.2789 |    0.1353 |
+#> |.....................|   0.01228 |    0.5474 |     2.006 |     1.102 |
+#> |.....................|    0.7190 |    0.8736 |     1.175 |    0.9768 |
+#> |.....................|    0.8624 |     1.163 |...........|...........|
+#> |    5|     494.35784 |     1.001 |    -1.000 |   -0.9115 |   -0.9329 |
+#> |.....................|   -0.9817 |   -0.8883 |   -0.8509 |   -0.8695 |
+#> |.....................|   -0.8778 |   -0.8746 |   -0.8681 |   -0.8723 |
+#> |.....................|   -0.8747 |   -0.8683 |...........|...........|
+#> |    U|     494.35784 |     93.05 |    -5.300 |   -0.9500 |    -2.000 |
+#> |.....................|    -4.400 |    0.1900 |     2.001 |     1.100 |
+#> |.....................|    0.7208 |    0.8755 |     1.172 |    0.9765 |
+#> |.....................|    0.8632 |     1.161 |...........|...........|
+#> |    X|     494.35784 |     93.05 |  0.004991 |    0.2789 |    0.1353 |
+#> |.....................|   0.01228 |    0.5474 |     2.001 |     1.100 |
+#> |.....................|    0.7208 |    0.8755 |     1.172 |    0.9765 |
+#> |.....................|    0.8632 |     1.161 |...........|...........|
+#> |    6|     494.40319 |     1.000 |    -1.000 |   -0.9115 |   -0.9329 |
+#> |.....................|   -0.9817 |   -0.8883 |   -0.8514 |   -0.8698 |
+#> |.....................|   -0.8775 |   -0.8744 |   -0.8683 |   -0.8723 |
+#> |.....................|   -0.8746 |   -0.8685 |...........|...........|
+#> |    U|     494.40319 |     93.00 |    -5.300 |   -0.9500 |    -2.000 |
+#> |.....................|    -4.400 |    0.1900 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8757 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |    X|     494.40319 |     93.00 |  0.004992 |    0.2789 |    0.1353 |
+#> |.....................|   0.01228 |    0.5474 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8757 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |    7|     494.40793 |     1.000 |    -1.000 |   -0.9115 |   -0.9329 |
+#> |.....................|   -0.9817 |   -0.8883 |   -0.8515 |   -0.8698 |
+#> |.....................|   -0.8775 |   -0.8744 |   -0.8683 |   -0.8723 |
+#> |.....................|   -0.8746 |   -0.8685 |...........|...........|
+#> |    U|     494.40793 |     93.00 |    -5.300 |   -0.9500 |    -2.000 |
+#> |.....................|    -4.400 |    0.1900 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |    X|     494.40793 |     93.00 |  0.004992 |    0.2789 |    0.1353 |
+#> |.....................|   0.01228 |    0.5474 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |    8|     494.40830 |     1.000 |    -1.000 |   -0.9115 |   -0.9329 |
+#> |.....................|   -0.9817 |   -0.8883 |   -0.8515 |   -0.8698 |
+#> |.....................|   -0.8775 |   -0.8743 |   -0.8683 |   -0.8723 |
+#> |.....................|   -0.8746 |   -0.8685 |...........|...........|
+#> |    U|      494.4083 |     93.00 |    -5.300 |   -0.9500 |    -2.000 |
+#> |.....................|    -4.400 |    0.1900 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |    X|      494.4083 |     93.00 |  0.004992 |    0.2789 |    0.1353 |
+#> |.....................|   0.01228 |    0.5474 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |    9|     494.40832 |     1.000 |    -1.000 |   -0.9115 |   -0.9329 |
+#> |.....................|   -0.9817 |   -0.8883 |   -0.8515 |   -0.8698 |
+#> |.....................|   -0.8775 |   -0.8743 |   -0.8683 |   -0.8723 |
+#> |.....................|   -0.8746 |   -0.8685 |...........|...........|
+#> |    U|     494.40832 |     93.00 |    -5.300 |   -0.9500 |    -2.000 |
+#> |.....................|    -4.400 |    0.1900 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |    X|     494.40832 |     93.00 |  0.004992 |    0.2789 |    0.1353 |
+#> |.....................|   0.01228 |    0.5474 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |   10|     494.40832 |     1.000 |    -1.000 |   -0.9115 |   -0.9329 |
+#> |.....................|   -0.9817 |   -0.8883 |   -0.8515 |   -0.8698 |
+#> |.....................|   -0.8775 |   -0.8743 |   -0.8683 |   -0.8723 |
+#> |.....................|   -0.8746 |   -0.8685 |...........|...........|
+#> |    U|     494.40832 |     93.00 |    -5.300 |   -0.9500 |    -2.000 |
+#> |.....................|    -4.400 |    0.1900 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |    X|     494.40832 |     93.00 |  0.004992 |    0.2789 |    0.1353 |
+#> |.....................|   0.01228 |    0.5474 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |   11|     494.40832 |     1.000 |    -1.000 |   -0.9115 |   -0.9329 |
+#> |.....................|   -0.9817 |   -0.8883 |   -0.8515 |   -0.8698 |
+#> |.....................|   -0.8775 |   -0.8743 |   -0.8683 |   -0.8723 |
+#> |.....................|   -0.8746 |   -0.8685 |...........|...........|
+#> |    U|     494.40832 |     93.00 |    -5.300 |   -0.9500 |    -2.000 |
+#> |.....................|    -4.400 |    0.1900 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |    X|     494.40832 |     93.00 |  0.004992 |    0.2789 |    0.1353 |
+#> |.....................|   0.01228 |    0.5474 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |   12|     494.40832 |     1.000 |    -1.000 |   -0.9115 |   -0.9329 |
+#> |.....................|   -0.9817 |   -0.8883 |   -0.8515 |   -0.8698 |
+#> |.....................|   -0.8775 |   -0.8743 |   -0.8683 |   -0.8723 |
+#> |.....................|   -0.8746 |   -0.8685 |...........|...........|
+#> |    U|     494.40832 |     93.00 |    -5.300 |   -0.9500 |    -2.000 |
+#> |.....................|    -4.400 |    0.1900 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |    X|     494.40832 |     93.00 |  0.004992 |    0.2789 |    0.1353 |
+#> |.....................|   0.01228 |    0.5474 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |   13|     494.40832 |     1.000 |    -1.000 |   -0.9115 |   -0.9329 |
+#> |.....................|   -0.9817 |   -0.8883 |   -0.8515 |   -0.8698 |
+#> |.....................|   -0.8775 |   -0.8743 |   -0.8683 |   -0.8723 |
+#> |.....................|   -0.8746 |   -0.8685 |...........|...........|
+#> |    U|     494.40832 |     93.00 |    -5.300 |   -0.9500 |    -2.000 |
+#> |.....................|    -4.400 |    0.1900 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |    X|     494.40832 |     93.00 |  0.004992 |    0.2789 |    0.1353 |
+#> |.....................|   0.01228 |    0.5474 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |   14|     494.40832 |     1.000 |    -1.000 |   -0.9115 |   -0.9329 |
+#> |.....................|   -0.9817 |   -0.8883 |   -0.8515 |   -0.8698 |
+#> |.....................|   -0.8775 |   -0.8743 |   -0.8683 |   -0.8723 |
+#> |.....................|   -0.8746 |   -0.8685 |...........|...........|
+#> |    U|     494.40832 |     93.00 |    -5.300 |   -0.9500 |    -2.000 |
+#> |.....................|    -4.400 |    0.1900 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |    X|     494.40832 |     93.00 |  0.004992 |    0.2789 |    0.1353 |
+#> |.....................|   0.01228 |    0.5474 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |   15|     494.40832 |     1.000 |    -1.000 |   -0.9115 |   -0.9329 |
+#> |.....................|   -0.9817 |   -0.8883 |   -0.8515 |   -0.8698 |
+#> |.....................|   -0.8775 |   -0.8743 |   -0.8683 |   -0.8723 |
+#> |.....................|   -0.8746 |   -0.8685 |...........|...........|
+#> |    U|     494.40832 |     93.00 |    -5.300 |   -0.9500 |    -2.000 |
+#> |.....................|    -4.400 |    0.1900 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |    X|     494.40832 |     93.00 |  0.004992 |    0.2789 |    0.1353 |
+#> |.....................|   0.01228 |    0.5474 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |   16|     494.40832 |     1.000 |    -1.000 |   -0.9115 |   -0.9329 |
+#> |.....................|   -0.9817 |   -0.8883 |   -0.8515 |   -0.8698 |
+#> |.....................|   -0.8775 |   -0.8743 |   -0.8683 |   -0.8723 |
+#> |.....................|   -0.8746 |   -0.8685 |...........|...........|
+#> |    U|     494.40832 |     93.00 |    -5.300 |   -0.9500 |    -2.000 |
+#> |.....................|    -4.400 |    0.1900 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |    X|     494.40832 |     93.00 |  0.004992 |    0.2789 |    0.1353 |
+#> |.....................|   0.01228 |    0.5474 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |   17|     494.40832 |     1.000 |    -1.000 |   -0.9115 |   -0.9329 |
+#> |.....................|   -0.9817 |   -0.8883 |   -0.8515 |   -0.8698 |
+#> |.....................|   -0.8775 |   -0.8743 |   -0.8683 |   -0.8723 |
+#> |.....................|   -0.8746 |   -0.8685 |...........|...........|
+#> |    U|     494.40832 |     93.00 |    -5.300 |   -0.9500 |    -2.000 |
+#> |.....................|    -4.400 |    0.1900 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> |    X|     494.40832 |     93.00 |  0.004992 |    0.2789 |    0.1353 |
+#> |.....................|   0.01228 |    0.5474 |     2.000 |     1.100 |
+#> |.....................|    0.7210 |    0.8758 |     1.172 |    0.9765 |
+#> |.....................|    0.8633 |     1.161 |...........|...........|
+#> calculating covariance matrix
+#> done
+#> Calculating residuals/tables
+#> done
+#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))
+#> Warning: last objective function was not at minimum, possible problems in optimization
+#> Warning: using R matrix to calculate covariance, can check sandwich or S matrix with $covRS and $covS
+#> Warning: gradient problems with initial estimate and covariance; see $scaleInfo
+
+# Identical two-component error for all variables is only possible with
+# est = 'focei' in nlmixr
+f_nlmixr_fomc_sfo_focei_tc <- nlmixr(f_mmkin_tc["FOMC-SFO", ], est = "focei")
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → calculate jacobian
+#> 
+#> → calculate sensitivities
+#> 
+#> → calculate ∂(f)/∂(η)
+#> 
+#> → calculate ∂(R²)/∂(η)
+#> 
+#> → finding duplicate expressions in inner model...
+#> 
+#> → optimizing duplicate expressions in inner model...
+#> 
+#> → finding duplicate expressions in EBE model...
+#> 
+#> → optimizing duplicate expressions in EBE model...
+#> 
+#> → compiling inner model...
+#>  
+#> ✔ done
+#> → finding duplicate expressions in FD model...
+#> 
+#> → optimizing duplicate expressions in FD model...
+#> 
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> → compiling events FD model...
+#>  
+#> ✔ done
+#> Needed Covariates:
+#> [1] "CMT"
+#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
+#> F: Forward difference gradient approximation
+#> C: Central difference gradient approximation
+#> M: Mixed forward and central difference gradient approximation
+#> Unscaled parameters for Omegas=chol(solve(omega));
+#> Diagonals are transformed, as specified by foceiControl(diagXform=)
+#> |-----+---------------+-----------+-----------+-----------+-----------|
+#> |    #| Objective Fun |  parent_0 |  log_k_A1 |f_parent_qlogis | log_alpha |
+#> |.....................|  log_beta | sigma_low |  rsd_high |        o1 |
+#> |.....................|        o2 |        o3 |        o4 |        o5 |
+#> |    1|     500.20030 |     1.000 |    -1.000 |   -0.9113 |   -0.8944 |
+#> |.....................|   -0.8454 |   -0.8678 |   -0.8916 |   -0.8767 |
+#> |.....................|   -0.8743 |   -0.8675 |   -0.8704 |   -0.8704 |
+#> |    U|      500.2003 |     93.00 |    -5.300 |   -0.9400 |   -0.1100 |
+#> |.....................|     2.300 |     1.200 |   0.03000 |    0.7598 |
+#> |.....................|    0.8758 |     1.214 |     1.068 |     1.071 |
+#> |    X|      500.2003 |     93.00 |  0.004992 |    0.2809 |    0.8958 |
+#> |.....................|     9.974 |     1.200 |   0.03000 |    0.7598 |
+#> |.....................|    0.8758 |     1.214 |     1.068 |     1.071 |
+#> |    G|    Gill Diff. |     48.88 |     2.383 |    0.1231 |    0.1986 |
+#> |.....................|    0.1571 |    -64.31 |    -21.89 |    0.6250 |
+#> |.....................|     11.41 |    -12.48 |    -9.903 |    -10.91 |
+#> |    2|     2909.4393 |    0.4361 |    -1.027 |   -0.9127 |   -0.8967 |
+#> |.....................|   -0.8472 |   -0.1258 |   -0.6390 |   -0.8839 |
+#> |.....................|    -1.006 |   -0.7235 |   -0.7562 |   -0.7445 |
+#> |    U|     2909.4393 |     40.56 |    -5.327 |   -0.9413 |   -0.1123 |
+#> |.....................|     2.298 |     1.645 |   0.03379 |    0.7544 |
+#> |.....................|    0.7605 |     1.389 |     1.189 |     1.206 |
+#> |    X|     2909.4393 |     40.56 |  0.004856 |    0.2806 |    0.8938 |
+#> |.....................|     9.956 |     1.645 |   0.03379 |    0.7544 |
+#> |.....................|    0.7605 |     1.389 |     1.189 |     1.206 |
+#> |    3|     515.24373 |    0.9436 |    -1.003 |   -0.9114 |   -0.8946 |
+#> |.....................|   -0.8456 |   -0.7936 |   -0.8663 |   -0.8774 |
+#> |.....................|   -0.8875 |   -0.8531 |   -0.8590 |   -0.8578 |
+#> |    U|     515.24373 |     87.76 |    -5.303 |   -0.9401 |   -0.1102 |
+#> |.....................|     2.300 |     1.245 |   0.03038 |    0.7593 |
+#> |.....................|    0.8642 |     1.232 |     1.080 |     1.084 |
+#> |    X|     515.24373 |     87.76 |  0.004978 |    0.2809 |    0.8956 |
+#> |.....................|     9.972 |     1.245 |   0.03038 |    0.7593 |
+#> |.....................|    0.8642 |     1.232 |     1.080 |     1.084 |
+#> |    4|     499.40695 |    0.9897 |    -1.001 |   -0.9113 |   -0.8944 |
+#> |.....................|   -0.8454 |   -0.8542 |   -0.8869 |   -0.8768 |
+#> |.....................|   -0.8768 |   -0.8648 |   -0.8684 |   -0.8681 |
+#> |    U|     499.40695 |     92.04 |    -5.301 |   -0.9400 |   -0.1100 |
+#> |.....................|     2.300 |     1.208 |   0.03007 |    0.7597 |
+#> |.....................|    0.8737 |     1.217 |     1.070 |     1.073 |
+#> |    X|     499.40695 |     92.04 |  0.004989 |    0.2809 |    0.8958 |
+#> |.....................|     9.974 |     1.208 |   0.03007 |    0.7597 |
+#> |.....................|    0.8737 |     1.217 |     1.070 |     1.073 |
+#> |    F| Forward Diff. |    -99.71 |     2.245 |   -0.1707 |    0.1202 |
+#> |.....................|   -0.1546 |    -61.69 |    -22.54 |     1.475 |
+#> |.....................|     7.677 |    -11.72 |    -9.584 |    -10.53 |
+#> |    5|     498.17135 |     1.001 |    -1.001 |   -0.9113 |   -0.8945 |
+#> |.....................|   -0.8454 |   -0.8410 |   -0.8822 |   -0.8771 |
+#> |.....................|   -0.8786 |   -0.8623 |   -0.8663 |   -0.8658 |
+#> |    U|     498.17135 |     93.06 |    -5.301 |   -0.9400 |   -0.1101 |
+#> |.....................|     2.300 |     1.216 |   0.03014 |    0.7595 |
+#> |.....................|    0.8720 |     1.221 |     1.072 |     1.076 |
+#> |    X|     498.17135 |     93.06 |  0.004987 |    0.2809 |    0.8958 |
+#> |.....................|     9.974 |     1.216 |   0.03014 |    0.7595 |
+#> |.....................|    0.8720 |     1.221 |     1.072 |     1.076 |
+#> |    F| Forward Diff. |     55.25 |     2.349 |    0.1359 |    0.2180 |
+#> |.....................|    0.1993 |    -60.48 |    -20.28 |     1.106 |
+#> |.....................|     9.662 |    -11.74 |    -9.501 |    -10.55 |
+#> |    6|     497.33758 |    0.9906 |    -1.002 |   -0.9113 |   -0.8945 |
+#> |.....................|   -0.8454 |   -0.8273 |   -0.8776 |   -0.8773 |
+#> |.....................|   -0.8808 |   -0.8596 |   -0.8642 |   -0.8634 |
+#> |    U|     497.33758 |     92.12 |    -5.302 |   -0.9400 |   -0.1101 |
+#> |.....................|     2.300 |     1.224 |   0.03021 |    0.7594 |
+#> |.....................|    0.8701 |     1.224 |     1.074 |     1.078 |
+#> |    X|     497.33758 |     92.12 |  0.004984 |    0.2809 |    0.8957 |
+#> |.....................|     9.974 |     1.224 |   0.03021 |    0.7594 |
+#> |.....................|    0.8701 |     1.224 |     1.074 |     1.078 |
+#> |    F| Forward Diff. |    -88.13 |     2.220 |   -0.1371 |    0.1382 |
+#> |.....................|   -0.1101 |    -57.44 |    -20.90 |     1.111 |
+#> |.....................|     7.358 |    -11.52 |    -9.371 |    -10.34 |
+#> |    7|     496.20963 |     1.001 |    -1.002 |   -0.9113 |   -0.8946 |
+#> |.....................|   -0.8454 |   -0.8137 |   -0.8728 |   -0.8776 |
+#> |.....................|   -0.8827 |   -0.8569 |   -0.8620 |   -0.8610 |
+#> |    U|     496.20963 |     93.07 |    -5.302 |   -0.9400 |   -0.1102 |
+#> |.....................|     2.300 |     1.232 |   0.03028 |    0.7592 |
+#> |.....................|    0.8684 |     1.227 |     1.077 |     1.081 |
+#> |    X|     496.20963 |     93.07 |  0.004981 |    0.2809 |    0.8957 |
+#> |.....................|     9.974 |     1.232 |   0.03028 |    0.7592 |
+#> |.....................|    0.8684 |     1.227 |     1.077 |     1.081 |
+#> |    F| Forward Diff. |     55.31 |     2.316 |    0.1573 |    0.2363 |
+#> |.....................|    0.2327 |    -56.27 |    -18.79 |    0.9054 |
+#> |.....................|     9.277 |    -11.53 |    -9.283 |    -10.35 |
+#> |    8|     495.35926 |    0.9914 |    -1.003 |   -0.9113 |   -0.8946 |
+#> |.....................|   -0.8455 |   -0.7996 |   -0.8680 |   -0.8778 |
+#> |.....................|   -0.8850 |   -0.8541 |   -0.8597 |   -0.8584 |
+#> |    U|     495.35926 |     92.20 |    -5.303 |   -0.9401 |   -0.1102 |
+#> |.....................|     2.300 |     1.241 |   0.03035 |    0.7590 |
+#> |.....................|    0.8664 |     1.231 |     1.079 |     1.084 |
+#> |    X|     495.35926 |     92.20 |  0.004979 |    0.2809 |    0.8956 |
+#> |.....................|     9.973 |     1.241 |   0.03035 |    0.7590 |
+#> |.....................|    0.8664 |     1.231 |     1.079 |     1.084 |
+#> |    F| Forward Diff. |    -77.78 |     2.194 |   -0.1077 |    0.1552 |
+#> |.....................|  -0.06714 |    -52.97 |    -19.27 |    0.8916 |
+#> |.....................|     7.037 |    -11.29 |    -9.130 |    -10.15 |
+#> |    9|     494.33654 |     1.001 |    -1.003 |   -0.9113 |   -0.8947 |
+#> |.....................|   -0.8455 |   -0.7857 |   -0.8631 |   -0.8780 |
+#> |.....................|   -0.8870 |   -0.8511 |   -0.8573 |   -0.8558 |
+#> |    U|     494.33654 |     93.09 |    -5.303 |   -0.9400 |   -0.1103 |
+#> |.....................|     2.300 |     1.249 |   0.03043 |    0.7588 |
+#> |.....................|    0.8647 |     1.234 |     1.082 |     1.087 |
+#> |    X|     494.33654 |     93.09 |  0.004976 |    0.2809 |    0.8956 |
+#> |.....................|     9.973 |     1.249 |   0.03043 |    0.7588 |
+#> |.....................|    0.8647 |     1.234 |     1.082 |     1.087 |
+#> |    F| Forward Diff. |     55.95 |     2.282 |    0.1850 |    0.2507 |
+#> |.....................|    0.2656 |    -51.81 |    -17.28 |    0.8212 |
+#> |.....................|     7.543 |    -11.27 |    -9.029 |    -10.13 |
+#> |   10|     493.47922 |    0.9922 |    -1.004 |   -0.9114 |   -0.8947 |
+#> |.....................|   -0.8455 |   -0.7714 |   -0.8582 |   -0.8782 |
+#> |.....................|   -0.8891 |   -0.8480 |   -0.8548 |   -0.8530 |
+#> |    U|     493.47922 |     92.28 |    -5.304 |   -0.9401 |   -0.1103 |
+#> |.....................|     2.300 |     1.258 |   0.03050 |    0.7587 |
+#> |.....................|    0.8629 |     1.238 |     1.084 |     1.090 |
+#> |    X|     493.47922 |     92.28 |  0.004973 |    0.2809 |    0.8955 |
+#> |.....................|     9.973 |     1.258 |   0.03050 |    0.7587 |
+#> |.....................|    0.8629 |     1.238 |     1.084 |     1.090 |
+#> |    F| Forward Diff. |    -67.18 |     2.173 |  -0.07166 |    0.1818 |
+#> |.....................|  -0.01313 |    -49.19 |    -17.69 |    0.7047 |
+#> |.....................|     8.114 |    -11.03 |    -8.882 |    -9.923 |
+#> |   11|     492.53845 |     1.001 |    -1.004 |   -0.9114 |   -0.8948 |
+#> |.....................|   -0.8456 |   -0.7572 |   -0.8532 |   -0.8784 |
+#> |.....................|   -0.8914 |   -0.8448 |   -0.8522 |   -0.8501 |
+#> |    U|     492.53845 |     93.09 |    -5.304 |   -0.9401 |   -0.1104 |
+#> |.....................|     2.300 |     1.266 |   0.03057 |    0.7585 |
+#> |.....................|    0.8608 |     1.242 |     1.087 |     1.093 |
+#> |    X|     492.53845 |     93.09 |  0.004969 |    0.2809 |    0.8955 |
+#> |.....................|     9.972 |     1.266 |   0.03057 |    0.7585 |
+#> |.....................|    0.8608 |     1.242 |     1.087 |     1.093 |
+#> |    F| Forward Diff. |     53.38 |     2.243 |    0.1941 |    0.2566 |
+#> |.....................|    0.2879 |    -47.96 |    -15.83 |    0.7595 |
+#> |.....................|     8.537 |    -10.98 |    -8.771 |    -9.890 |
+#> |   12|     491.72645 |    0.9926 |    -1.005 |   -0.9114 |   -0.8949 |
+#> |.....................|   -0.8456 |   -0.7429 |   -0.8484 |   -0.8786 |
+#> |.....................|   -0.8941 |   -0.8415 |   -0.8496 |   -0.8471 |
+#> |    U|     491.72645 |     92.31 |    -5.305 |   -0.9401 |   -0.1105 |
+#> |.....................|     2.300 |     1.275 |   0.03065 |    0.7584 |
+#> |.....................|    0.8584 |     1.246 |     1.090 |     1.096 |
+#> |    X|     491.72645 |     92.31 |  0.004966 |    0.2809 |    0.8954 |
+#> |.....................|     9.972 |     1.275 |   0.03065 |    0.7584 |
+#> |.....................|    0.8584 |     1.246 |     1.090 |     1.096 |
+#> |    F| Forward Diff. |    -63.56 |     2.131 |  -0.05387 |    0.1833 |
+#> |.....................| 0.0009134 |    -45.55 |    -16.30 |    0.3872 |
+#> |.....................|     9.447 |    -10.76 |    -8.612 |    -9.684 |
+#> |   13|     490.83850 |     1.001 |    -1.006 |   -0.9114 |   -0.8949 |
+#> |.....................|   -0.8457 |   -0.7286 |   -0.8435 |   -0.8787 |
+#> |.....................|   -0.8974 |   -0.8380 |   -0.8468 |   -0.8440 |
+#> |    U|      490.8385 |     93.07 |    -5.306 |   -0.9401 |   -0.1105 |
+#> |.....................|     2.300 |     1.283 |   0.03072 |    0.7583 |
+#> |.....................|    0.8556 |     1.250 |     1.093 |     1.099 |
+#> |    X|      490.8385 |     93.07 |  0.004963 |    0.2809 |    0.8954 |
+#> |.....................|     9.971 |     1.283 |   0.03072 |    0.7583 |
+#> |.....................|    0.8556 |     1.250 |     1.093 |     1.099 |
+#> |    F| Forward Diff. |     49.01 |     2.198 |    0.2057 |    0.2666 |
+#> |.....................|    0.3102 |    -44.06 |    -14.52 |    0.5614 |
+#> |.....................|     8.039 |    -10.72 |    -8.482 |    -9.628 |
+#> |   14|     490.09324 |    0.9928 |    -1.007 |   -0.9115 |   -0.8950 |
+#> |.....................|   -0.8458 |   -0.7143 |   -0.8387 |   -0.8788 |
+#> |.....................|   -0.9004 |   -0.8343 |   -0.8439 |   -0.8407 |
+#> |    U|     490.09324 |     92.33 |    -5.307 |   -0.9402 |   -0.1106 |
+#> |.....................|     2.300 |     1.292 |   0.03079 |    0.7582 |
+#> |.....................|    0.8529 |     1.254 |     1.096 |     1.103 |
+#> |    X|     490.09324 |     92.33 |  0.004959 |    0.2809 |    0.8953 |
+#> |.....................|     9.970 |     1.292 |   0.03079 |    0.7582 |
+#> |.....................|    0.8529 |     1.254 |     1.096 |     1.103 |
+#> |    F| Forward Diff. |    -62.13 |     2.095 |  -0.03472 |    0.1999 |
+#> |.....................|   0.03562 |    -41.55 |    -14.84 |    0.5236 |
+#> |.....................|     7.264 |    -10.46 |    -8.310 |    -9.412 |
+#> |   15|     489.25271 |     1.001 |    -1.007 |   -0.9115 |   -0.8951 |
+#> |.....................|   -0.8458 |   -0.7001 |   -0.8338 |   -0.8789 |
+#> |.....................|   -0.9032 |   -0.8304 |   -0.8408 |   -0.8372 |
+#> |    U|     489.25271 |     93.06 |    -5.307 |   -0.9402 |   -0.1107 |
+#> |.....................|     2.300 |     1.301 |   0.03087 |    0.7581 |
+#> |.....................|    0.8505 |     1.259 |     1.099 |     1.107 |
+#> |    X|     489.25271 |     93.06 |  0.004955 |    0.2809 |    0.8952 |
+#> |.....................|     9.970 |     1.301 |   0.03087 |    0.7581 |
+#> |.....................|    0.8505 |     1.259 |     1.099 |     1.107 |
+#> |    F| Forward Diff. |     44.98 |     2.155 |    0.2191 |    0.2769 |
+#> |.....................|    0.3339 |    -40.42 |    -13.24 |    0.4473 |
+#> |.....................|     7.595 |    -10.35 |    -8.165 |    -9.335 |
+#> |   16|     488.54089 |    0.9934 |    -1.008 |   -0.9116 |   -0.8952 |
+#> |.....................|   -0.8459 |   -0.6857 |   -0.8290 |   -0.8790 |
+#> |.....................|   -0.9061 |   -0.8262 |   -0.8376 |   -0.8335 |
+#> |    U|     488.54089 |     92.38 |    -5.308 |   -0.9403 |   -0.1108 |
+#> |.....................|     2.299 |     1.309 |   0.03094 |    0.7581 |
+#> |.....................|    0.8479 |     1.264 |     1.103 |     1.111 |
+#> |    X|     488.54089 |     92.38 |  0.004951 |    0.2808 |    0.8951 |
+#> |.....................|     9.968 |     1.309 |   0.03094 |    0.7581 |
+#> |.....................|    0.8479 |     1.264 |     1.103 |     1.111 |
+#> |    F| Forward Diff. |    -55.81 |     2.061 |  -0.02096 |    0.2050 |
+#> |.....................|   0.07367 |    -38.08 |    -13.50 |    0.4111 |
+#> |.....................|     6.904 |    -10.08 |    -7.981 |    -9.106 |
+#> |   17|     487.77387 |     1.001 |    -1.009 |   -0.9116 |   -0.8953 |
+#> |.....................|   -0.8461 |   -0.6716 |   -0.8243 |   -0.8791 |
+#> |.....................|   -0.9092 |   -0.8218 |   -0.8341 |   -0.8294 |
+#> |    U|     487.77387 |     93.07 |    -5.309 |   -0.9403 |   -0.1109 |
+#> |.....................|     2.299 |     1.318 |   0.03101 |    0.7580 |
+#> |.....................|    0.8453 |     1.270 |     1.106 |     1.115 |
+#> |    X|     487.77387 |     93.07 |  0.004946 |    0.2808 |    0.8950 |
+#> |.....................|     9.967 |     1.318 |   0.03101 |    0.7580 |
+#> |.....................|    0.8453 |     1.270 |     1.106 |     1.115 |
+#> |    F| Forward Diff. |     43.45 |     2.114 |    0.2402 |    0.2940 |
+#> |.....................|    0.3672 |    -36.87 |    -12.03 |    0.3081 |
+#> |.....................|     7.143 |    -10.02 |    -7.799 |    -9.000 |
+#> |   18|     487.09815 |    0.9939 |    -1.010 |   -0.9118 |   -0.8955 |
+#> |.....................|   -0.8463 |   -0.6575 |   -0.8197 |   -0.8791 |
+#> |.....................|   -0.9124 |   -0.8169 |   -0.8304 |   -0.8251 |
+#> |    U|     487.09815 |     92.43 |    -5.310 |   -0.9404 |   -0.1111 |
+#> |.....................|     2.299 |     1.326 |   0.03108 |    0.7580 |
+#> |.....................|    0.8425 |     1.276 |     1.110 |     1.120 |
+#> |    X|     487.09815 |     92.43 |  0.004941 |    0.2808 |    0.8948 |
+#> |.....................|     9.965 |     1.326 |   0.03108 |    0.7580 |
+#> |.....................|    0.8425 |     1.276 |     1.110 |     1.120 |
+#> |    F| Forward Diff. |    -50.03 |     2.024 |  0.005993 |    0.2193 |
+#> |.....................|    0.1119 |    -34.69 |    -12.26 |    0.2072 |
+#> |.....................|     6.453 |    -9.722 |    -7.597 |    -8.758 |
+#> |   19|     486.39882 |     1.001 |    -1.011 |   -0.9119 |   -0.8957 |
+#> |.....................|   -0.8465 |   -0.6438 |   -0.8151 |   -0.8789 |
+#> |.....................|   -0.9156 |   -0.8116 |   -0.8264 |   -0.8203 |
+#> |    U|     486.39882 |     93.07 |    -5.311 |   -0.9405 |   -0.1113 |
+#> |.....................|     2.299 |     1.334 |   0.03115 |    0.7582 |
+#> |.....................|    0.8396 |     1.282 |     1.114 |     1.125 |
+#> |    X|     486.39882 |     93.07 |  0.004935 |    0.2808 |    0.8947 |
+#> |.....................|     9.963 |     1.334 |   0.03115 |    0.7582 |
+#> |.....................|    0.8396 |     1.282 |     1.114 |     1.125 |
+#> |    F| Forward Diff. |     41.24 |     2.069 |    0.2581 |    0.3038 |
+#> |.....................|    0.3965 |    -33.71 |    -10.93 |    0.1523 |
+#> |.....................|     5.279 |    -9.597 |    -7.397 |    -8.617 |
+#> |   20|     485.77269 |    0.9943 |    -1.013 |   -0.9120 |   -0.8959 |
+#> |.....................|   -0.8467 |   -0.6301 |   -0.8107 |   -0.8786 |
+#> |.....................|   -0.9175 |   -0.8058 |   -0.8222 |   -0.8151 |
+#> |    U|     485.77269 |     92.47 |    -5.313 |   -0.9407 |   -0.1115 |
+#> |.....................|     2.299 |     1.343 |   0.03121 |    0.7584 |
+#> |.....................|    0.8380 |     1.289 |     1.119 |     1.130 |
+#> |    X|     485.77269 |     92.47 |  0.004928 |    0.2808 |    0.8945 |
+#> |.....................|     9.960 |     1.343 |   0.03121 |    0.7584 |
+#> |.....................|    0.8380 |     1.289 |     1.119 |     1.130 |
+#> |    F| Forward Diff. |    -45.38 |     1.992 |   0.03513 |    0.2356 |
+#> |.....................|    0.1513 |    -31.62 |    -11.12 |   0.08802 |
+#> |.....................|     6.113 |    -9.278 |    -7.167 |    -8.332 |
+#> |   21|     485.13787 |     1.001 |    -1.014 |   -0.9122 |   -0.8962 |
+#> |.....................|   -0.8471 |   -0.6169 |   -0.8065 |   -0.8780 |
+#> |.....................|   -0.9196 |   -0.7993 |   -0.8176 |   -0.8094 |
+#> |    U|     485.13787 |     93.06 |    -5.314 |   -0.9409 |   -0.1118 |
+#> |.....................|     2.298 |     1.351 |   0.03128 |    0.7588 |
+#> |.....................|    0.8361 |     1.297 |     1.124 |     1.136 |
+#> |    X|     485.13787 |     93.06 |  0.004921 |    0.2807 |    0.8942 |
+#> |.....................|     9.957 |     1.351 |   0.03128 |    0.7588 |
+#> |.....................|    0.8361 |     1.297 |     1.124 |     1.136 |
+#> |    F| Forward Diff. |     37.95 |     2.033 |    0.2726 |    0.3147 |
+#> |.....................|    0.4223 |    -30.68 |    -9.906 |   0.05100 |
+#> |.....................|     4.975 |    -9.039 |    -6.928 |    -8.144 |
+#> |   22|     484.56781 |    0.9947 |    -1.016 |   -0.9125 |   -0.8965 |
+#> |.....................|   -0.8476 |   -0.6040 |   -0.8026 |   -0.8774 |
+#> |.....................|   -0.9219 |   -0.7925 |   -0.8127 |   -0.8032 |
+#> |    U|     484.56781 |     92.51 |    -5.316 |   -0.9411 |   -0.1121 |
+#> |.....................|     2.298 |     1.358 |   0.03133 |    0.7593 |
+#> |.....................|    0.8341 |     1.305 |     1.129 |     1.143 |
+#> |    X|     484.56781 |     92.51 |  0.004912 |    0.2807 |    0.8939 |
+#> |.....................|     9.952 |     1.358 |   0.03133 |    0.7593 |
+#> |.....................|    0.8341 |     1.305 |     1.129 |     1.143 |
+#> |    F| Forward Diff. |    -42.28 |     1.959 |   0.05438 |    0.2483 |
+#> |.....................|    0.1829 |    -28.95 |    -10.12 |  -0.04344 |
+#> |.....................|     4.379 |    -8.677 |    -6.653 |    -7.817 |
+#> |   23|     484.00832 |     1.000 |    -1.018 |   -0.9128 |   -0.8970 |
+#> |.....................|   -0.8481 |   -0.5915 |   -0.7988 |   -0.8764 |
+#> |.....................|   -0.9214 |   -0.7852 |   -0.8076 |   -0.7966 |
+#> |    U|     484.00832 |     93.05 |    -5.318 |   -0.9414 |   -0.1125 |
+#> |.....................|     2.297 |     1.366 |   0.03139 |    0.7601 |
+#> |.....................|    0.8346 |     1.314 |     1.135 |     1.150 |
+#> |    X|     484.00832 |     93.05 |  0.004901 |    0.2806 |    0.8936 |
+#> |.....................|     9.947 |     1.366 |   0.03139 |    0.7601 |
+#> |.....................|    0.8346 |     1.314 |     1.135 |     1.150 |
+#> |    F| Forward Diff. |     34.54 |     2.001 |    0.2786 |    0.3182 |
+#> |.....................|    0.4381 |    -28.02 |    -9.026 |  -0.09975 |
+#> |.....................|     6.146 |    -8.496 |    -6.417 |    -7.602 |
+#> |   24|     483.48726 |    0.9952 |    -1.021 |   -0.9132 |   -0.8975 |
+#> |.....................|   -0.8489 |   -0.5798 |   -0.7955 |   -0.8750 |
+#> |.....................|   -0.9256 |   -0.7775 |   -0.8025 |   -0.7898 |
+#> |    U|     483.48726 |     92.55 |    -5.321 |   -0.9418 |   -0.1131 |
+#> |.....................|     2.296 |     1.373 |   0.03144 |    0.7611 |
+#> |.....................|    0.8309 |     1.323 |     1.140 |     1.157 |
+#> |    X|     483.48726 |     92.55 |  0.004889 |    0.2805 |    0.8931 |
+#> |.....................|     9.939 |     1.373 |   0.03144 |    0.7611 |
+#> |.....................|    0.8309 |     1.323 |     1.140 |     1.157 |
+#> |    F| Forward Diff. |    -37.52 |     1.926 |   0.07054 |    0.2526 |
+#> |.....................|    0.2102 |    -26.43 |    -9.184 |   -0.1123 |
+#> |.....................|     5.591 |    -8.057 |    -6.119 |    -7.239 |
+#> |   25|     482.99669 |     1.001 |    -1.023 |   -0.9136 |   -0.8980 |
+#> |.....................|   -0.8497 |   -0.5700 |   -0.7928 |   -0.8735 |
+#> |.....................|   -0.9342 |   -0.7702 |   -0.7978 |   -0.7834 |
+#> |    U|     482.99669 |     93.05 |    -5.323 |   -0.9422 |   -0.1136 |
+#> |.....................|     2.296 |     1.379 |   0.03148 |    0.7623 |
+#> |.....................|    0.8234 |     1.332 |     1.145 |     1.164 |
+#> |    X|     482.99669 |     93.05 |  0.004876 |    0.2805 |    0.8926 |
+#> |.....................|     9.932 |     1.379 |   0.03148 |    0.7623 |
+#> |.....................|    0.8234 |     1.332 |     1.145 |     1.164 |
+#> |    F| Forward Diff. |     33.56 |     1.934 |    0.3091 |    0.3219 |
+#> |.....................|    0.4700 |    -25.85 |    -8.255 |  -0.09267 |
+#> |.....................|     5.467 |    -7.833 |    -5.883 |    -7.031 |
+#> |   26|     482.53338 |    0.9957 |    -1.027 |   -0.9143 |   -0.8987 |
+#> |.....................|   -0.8507 |   -0.5600 |   -0.7904 |   -0.8719 |
+#> |.....................|   -0.9423 |   -0.7626 |   -0.7931 |   -0.7767 |
+#> |    U|     482.53338 |     92.60 |    -5.327 |   -0.9428 |   -0.1143 |
+#> |.....................|     2.295 |     1.385 |   0.03152 |    0.7635 |
+#> |.....................|    0.8163 |     1.342 |     1.150 |     1.171 |
+#> |    X|     482.53338 |     92.60 |  0.004861 |    0.2803 |    0.8920 |
+#> |.....................|     9.921 |     1.385 |   0.03152 |    0.7635 |
+#> |.....................|    0.8163 |     1.342 |     1.150 |     1.171 |
+#> |    F| Forward Diff. |    -33.71 |     1.852 |    0.1405 |    0.2615 |
+#> |.....................|    0.2476 |    -24.53 |    -8.462 |   -0.2274 |
+#> |.....................|     4.657 |    -7.455 |    -5.599 |    -6.689 |
+#> |   27|     482.07760 |     1.001 |    -1.030 |   -0.9154 |   -0.8996 |
+#> |.....................|   -0.8522 |   -0.5495 |   -0.7881 |   -0.8694 |
+#> |.....................|   -0.9481 |   -0.7546 |   -0.7885 |   -0.7696 |
+#> |    U|      482.0776 |     93.06 |    -5.330 |   -0.9439 |   -0.1152 |
+#> |.....................|     2.293 |     1.391 |   0.03155 |    0.7654 |
+#> |.....................|    0.8112 |     1.351 |     1.155 |     1.179 |
+#> |    X|      482.0776 |     93.06 |  0.004842 |    0.2801 |    0.8912 |
+#> |.....................|     9.906 |     1.391 |   0.03155 |    0.7654 |
+#> |.....................|    0.8112 |     1.351 |     1.155 |     1.179 |
+#> |    F| Forward Diff. |     31.51 |     1.862 |    0.3171 |    0.3253 |
+#> |.....................|    0.4890 |    -23.74 |    -7.570 |   -0.1627 |
+#> |.....................|     4.673 |    -7.176 |    -5.365 |    -6.441 |
+#> |   28|     481.65018 |    0.9960 |    -1.035 |   -0.9168 |   -0.9007 |
+#> |.....................|   -0.8541 |   -0.5386 |   -0.7859 |   -0.8662 |
+#> |.....................|   -0.9515 |   -0.7465 |   -0.7840 |   -0.7624 |
+#> |    U|     481.65018 |     92.63 |    -5.335 |   -0.9452 |   -0.1163 |
+#> |.....................|     2.291 |     1.398 |   0.03158 |    0.7678 |
+#> |.....................|    0.8082 |     1.361 |     1.160 |     1.187 |
+#> |    X|     481.65018 |     92.63 |  0.004820 |    0.2799 |    0.8902 |
+#> |.....................|     9.887 |     1.398 |   0.03158 |    0.7678 |
+#> |.....................|    0.8082 |     1.361 |     1.160 |     1.187 |
+#> |    F| Forward Diff. |    -31.18 |     1.794 |    0.1244 |    0.2518 |
+#> |.....................|    0.2479 |    -22.54 |    -7.736 |   -0.2537 |
+#> |.....................|     4.155 |    -6.794 |    -5.094 |    -6.088 |
+#> |   29|     481.23911 |     1.000 |    -1.041 |   -0.9182 |   -0.9020 |
+#> |.....................|   -0.8564 |   -0.5274 |   -0.7840 |   -0.8624 |
+#> |.....................|   -0.9539 |   -0.7386 |   -0.7800 |   -0.7556 |
+#> |    U|     481.23911 |     93.04 |    -5.341 |   -0.9465 |   -0.1176 |
+#> |.....................|     2.289 |     1.404 |   0.03161 |    0.7707 |
+#> |.....................|    0.8061 |     1.371 |     1.164 |     1.194 |
+#> |    X|     481.23911 |     93.04 |  0.004792 |    0.2796 |    0.8890 |
+#> |.....................|     9.865 |     1.404 |   0.03161 |    0.7707 |
+#> |.....................|    0.8061 |     1.371 |     1.164 |     1.194 |
+#> |   30|     480.84332 |     1.001 |    -1.048 |   -0.9201 |   -0.9037 |
+#> |.....................|   -0.8593 |   -0.5164 |   -0.7829 |   -0.8573 |
+#> |.....................|   -0.9562 |   -0.7293 |   -0.7754 |   -0.7475 |
+#> |    U|     480.84332 |     93.06 |    -5.348 |   -0.9483 |   -0.1193 |
+#> |.....................|     2.286 |     1.411 |   0.03163 |    0.7746 |
+#> |.....................|    0.8041 |     1.382 |     1.169 |     1.203 |
+#> |    X|     480.84332 |     93.06 |  0.004757 |    0.2792 |    0.8875 |
+#> |.....................|     9.836 |     1.411 |   0.03163 |    0.7746 |
+#> |.....................|    0.8041 |     1.382 |     1.169 |     1.203 |
+#> |   31|     479.47395 |     1.001 |    -1.077 |   -0.9274 |   -0.9105 |
+#> |.....................|   -0.8708 |   -0.4737 |   -0.7785 |   -0.8375 |
+#> |.....................|   -0.9655 |   -0.6927 |   -0.7575 |   -0.7158 |
+#> |    U|     479.47395 |     93.12 |    -5.377 |   -0.9551 |   -0.1261 |
+#> |.....................|     2.275 |     1.436 |   0.03170 |    0.7896 |
+#> |.....................|    0.7959 |     1.426 |     1.188 |     1.237 |
+#> |    X|     479.47395 |     93.12 |  0.004620 |    0.2779 |    0.8816 |
+#> |.....................|     9.723 |     1.436 |   0.03170 |    0.7896 |
+#> |.....................|    0.7959 |     1.426 |     1.188 |     1.237 |
+#> |   32|     477.01144 |     1.003 |    -1.162 |   -0.9485 |   -0.9300 |
+#> |.....................|   -0.9044 |   -0.3493 |   -0.7656 |   -0.7799 |
+#> |.....................|   -0.9925 |   -0.5865 |   -0.7057 |   -0.6237 |
+#> |    U|     477.01144 |     93.31 |    -5.462 |   -0.9750 |   -0.1456 |
+#> |.....................|     2.241 |     1.511 |   0.03189 |    0.8334 |
+#> |.....................|    0.7723 |     1.555 |     1.243 |     1.335 |
+#> |    X|     477.01144 |     93.31 |  0.004245 |    0.2739 |    0.8645 |
+#> |.....................|     9.403 |     1.511 |   0.03189 |    0.8334 |
+#> |.....................|    0.7723 |     1.555 |     1.243 |     1.335 |
+#> |    F| Forward Diff. |     48.38 |     1.353 |   -0.3553 |  -0.05530 |
+#> |.....................| -0.006768 |    -8.661 |    -2.325 |   -0.1540 |
+#> |.....................|     2.503 |   -0.2811 |   -0.6438 |   -0.5229 |
+#> |   33|     477.99463 |     1.002 |    -1.284 |   -0.8933 |   -0.9162 |
+#> |.....................|   -0.8846 |   -0.1951 |   -0.7385 |   -0.7367 |
+#> |.....................|    -1.093 |   -0.7697 |   -0.8046 |   -0.7596 |
+#> |    U|     477.99463 |     93.20 |    -5.584 |   -0.9231 |   -0.1318 |
+#> |.....................|     2.261 |     1.604 |   0.03230 |    0.8662 |
+#> |.....................|    0.6840 |     1.333 |     1.138 |     1.190 |
+#> |    X|     477.99463 |     93.20 |  0.003757 |    0.2843 |    0.8766 |
+#> |.....................|     9.591 |     1.604 |   0.03230 |    0.8662 |
+#> |.....................|    0.6840 |     1.333 |     1.138 |     1.190 |
+#> |   34|     476.67952 |     1.000 |    -1.201 |   -0.9310 |   -0.9256 |
+#> |.....................|   -0.8981 |   -0.3000 |   -0.7569 |   -0.7662 |
+#> |.....................|    -1.025 |   -0.6445 |   -0.7370 |   -0.6668 |
+#> |    U|     476.67952 |     93.04 |    -5.501 |   -0.9585 |   -0.1412 |
+#> |.....................|     2.247 |     1.541 |   0.03202 |    0.8438 |
+#> |.....................|    0.7442 |     1.485 |     1.210 |     1.289 |
+#> |    X|     476.67952 |     93.04 |  0.004084 |    0.2772 |    0.8683 |
+#> |.....................|     9.462 |     1.541 |   0.03202 |    0.8438 |
+#> |.....................|    0.7442 |     1.485 |     1.210 |     1.289 |
+#> |    F| Forward Diff. |     3.308 |     1.138 |    0.3206 |  0.007327 |
+#> |.....................| -0.005220 |    -6.420 |    -1.952 |   -0.8085 |
+#> |.....................|   -0.4295 |    -3.531 |    -2.349 |    -2.485 |
+#> |   35|     477.00015 |    0.9939 |    -1.268 |   -0.9234 |   -0.9152 |
+#> |.....................|   -0.8823 |   -0.2647 |   -0.7585 |   -0.7168 |
+#> |.....................|   -0.9725 |   -0.6365 |   -0.7310 |   -0.6853 |
+#> |    U|     477.00015 |     92.43 |    -5.568 |   -0.9514 |   -0.1308 |
+#> |.....................|     2.263 |     1.562 |   0.03200 |    0.8813 |
+#> |.....................|    0.7898 |     1.495 |     1.216 |     1.269 |
+#> |    X|     477.00015 |     92.43 |  0.003818 |    0.2786 |    0.8774 |
+#> |.....................|     9.613 |     1.562 |   0.03200 |    0.8813 |
+#> |.....................|    0.7898 |     1.495 |     1.216 |     1.269 |
+#> |   36|     476.87328 |    0.9941 |    -1.216 |   -0.9300 |   -0.9236 |
+#> |.....................|   -0.8950 |   -0.2832 |   -0.7542 |   -0.7554 |
+#> |.....................|    -1.014 |   -0.6375 |   -0.7322 |   -0.6666 |
+#> |    U|     476.87328 |     92.45 |    -5.516 |   -0.9576 |   -0.1392 |
+#> |.....................|     2.250 |     1.551 |   0.03206 |    0.8520 |
+#> |.....................|    0.7536 |     1.493 |     1.215 |     1.289 |
+#> |    X|     476.87328 |     92.45 |  0.004024 |    0.2774 |    0.8700 |
+#> |.....................|     9.491 |     1.551 |   0.03206 |    0.8520 |
+#> |.....................|    0.7536 |     1.493 |     1.215 |     1.289 |
+#> |   37|     476.68202 |    0.9977 |    -1.202 |   -0.9313 |   -0.9256 |
+#> |.....................|   -0.8981 |   -0.2947 |   -0.7553 |   -0.7655 |
+#> |.....................|    -1.024 |   -0.6416 |   -0.7351 |   -0.6648 |
+#> |    U|     476.68202 |     92.79 |    -5.502 |   -0.9588 |   -0.1412 |
+#> |.....................|     2.247 |     1.544 |   0.03204 |    0.8443 |
+#> |.....................|    0.7445 |     1.488 |     1.212 |     1.291 |
+#> |    X|     476.68202 |     92.79 |  0.004080 |    0.2771 |    0.8683 |
+#> |.....................|     9.462 |     1.544 |   0.03204 |    0.8443 |
+#> |.....................|    0.7445 |     1.488 |     1.212 |     1.291 |
+#> |   38|     476.66620 |    0.9991 |    -1.201 |   -0.9311 |   -0.9256 |
+#> |.....................|   -0.8981 |   -0.2974 |   -0.7561 |   -0.7659 |
+#> |.....................|    -1.024 |   -0.6431 |   -0.7361 |   -0.6658 |
+#> |    U|      476.6662 |     92.92 |    -5.501 |   -0.9587 |   -0.1412 |
+#> |.....................|     2.247 |     1.542 |   0.03203 |    0.8441 |
+#> |.....................|    0.7443 |     1.487 |     1.211 |     1.290 |
+#> |    X|      476.6662 |     92.92 |  0.004082 |    0.2771 |    0.8683 |
+#> |.....................|     9.462 |     1.542 |   0.03203 |    0.8441 |
+#> |.....................|    0.7443 |     1.487 |     1.211 |     1.290 |
+#> |    F| Forward Diff. |    -16.67 |     1.127 |    0.2138 |  -0.01630 |
+#> |.....................|   -0.1134 |    -4.869 |    -1.703 |  -0.03057 |
+#> |.....................|  -0.03000 |    -2.848 |    -2.302 |    -2.432 |
+#> |   39|     476.65034 |     1.001 |    -1.204 |   -0.9308 |   -0.9253 |
+#> |.....................|   -0.8974 |   -0.2967 |   -0.7561 |   -0.7660 |
+#> |.....................|    -1.024 |   -0.6432 |   -0.7350 |   -0.6655 |
+#> |    U|     476.65034 |     93.06 |    -5.504 |   -0.9584 |   -0.1409 |
+#> |.....................|     2.248 |     1.543 |   0.03203 |    0.8440 |
+#> |.....................|    0.7448 |     1.487 |     1.212 |     1.290 |
+#> |    X|     476.65034 |     93.06 |  0.004070 |    0.2772 |    0.8686 |
+#> |.....................|     9.468 |     1.543 |   0.03203 |    0.8440 |
+#> |.....................|    0.7448 |     1.487 |     1.212 |     1.290 |
+#> |    F| Forward Diff. |     7.111 |     1.131 |    0.3498 |   0.02199 |
+#> |.....................|   0.03596 |    -6.336 |    -1.893 |   -0.8646 |
+#> |.....................|   -0.4089 |    -3.511 |    -2.253 |    -2.437 |
+#> |   40|     476.63921 |    0.9998 |    -1.207 |   -0.9306 |   -0.9249 |
+#> |.....................|   -0.8968 |   -0.2957 |   -0.7561 |   -0.7661 |
+#> |.....................|    -1.024 |   -0.6430 |   -0.7338 |   -0.6650 |
+#> |    U|     476.63921 |     92.98 |    -5.507 |   -0.9581 |   -0.1405 |
+#> |.....................|     2.249 |     1.543 |   0.03203 |    0.8439 |
+#> |.....................|    0.7451 |     1.487 |     1.213 |     1.291 |
+#> |    X|     476.63921 |     92.98 |  0.004058 |    0.2773 |    0.8689 |
+#> |.....................|     9.474 |     1.543 |   0.03203 |    0.8439 |
+#> |.....................|    0.7451 |     1.487 |     1.213 |     1.291 |
+#> |    F| Forward Diff. |    -6.837 |     1.116 |    0.2875 |   0.01149 |
+#> |.....................|  -0.02542 |    -4.741 |    -1.572 |   0.01643 |
+#> |.....................|    -1.427 |    -2.805 |    -2.162 |    -2.393 |
+#> |   41|     476.63321 |     1.001 |    -1.209 |   -0.9304 |   -0.9247 |
+#> |.....................|   -0.8965 |   -0.2943 |   -0.7557 |   -0.7669 |
+#> |.....................|    -1.022 |   -0.6432 |   -0.7330 |   -0.6644 |
+#> |    U|     476.63321 |     93.07 |    -5.509 |   -0.9580 |   -0.1403 |
+#> |.....................|     2.249 |     1.544 |   0.03204 |    0.8433 |
+#> |.....................|    0.7468 |     1.487 |     1.214 |     1.292 |
+#> |    X|     476.63321 |     93.07 |  0.004050 |    0.2773 |    0.8691 |
+#> |.....................|     9.477 |     1.544 |   0.03204 |    0.8433 |
+#> |.....................|    0.7468 |     1.487 |     1.214 |     1.292 |
+#> |    F| Forward Diff. |     8.780 |     1.119 |    0.3715 |   0.03544 |
+#> |.....................|   0.06786 |    -4.773 |    -1.470 |  -0.02124 |
+#> |.....................|    -1.265 |    -2.850 |    -2.132 |    -2.390 |
+#> |   42|     476.62737 |    0.9998 |    -1.211 |   -0.9303 |   -0.9246 |
+#> |.....................|   -0.8963 |   -0.2932 |   -0.7554 |   -0.7683 |
+#> |.....................|    -1.020 |   -0.6436 |   -0.7322 |   -0.6637 |
+#> |    U|     476.62737 |     92.98 |    -5.511 |   -0.9578 |   -0.1402 |
+#> |.....................|     2.249 |     1.545 |   0.03204 |    0.8422 |
+#> |.....................|    0.7485 |     1.486 |     1.215 |     1.292 |
+#> |    X|     476.62737 |     92.98 |  0.004043 |    0.2773 |    0.8692 |
+#> |.....................|     9.479 |     1.545 |   0.03204 |    0.8422 |
+#> |.....................|    0.7485 |     1.486 |     1.215 |     1.292 |
+#> |    F| Forward Diff. |    -5.468 |     1.108 |    0.2964 |   0.01787 |
+#> |.....................|  -0.01029 |    -4.584 |    -1.512 |  -0.04750 |
+#> |.....................|    -1.233 |    -2.839 |    -2.097 |    -2.338 |
+#> |   43|     476.62183 |     1.001 |    -1.213 |   -0.9301 |   -0.9245 |
+#> |.....................|   -0.8960 |   -0.2918 |   -0.7549 |   -0.7696 |
+#> |.....................|    -1.018 |   -0.6438 |   -0.7313 |   -0.6628 |
+#> |    U|     476.62183 |     93.07 |    -5.513 |   -0.9577 |   -0.1401 |
+#> |.....................|     2.249 |     1.546 |   0.03205 |    0.8412 |
+#> |.....................|    0.7501 |     1.486 |     1.216 |     1.293 |
+#> |    X|     476.62183 |     93.07 |  0.004035 |    0.2773 |    0.8693 |
+#> |.....................|     9.481 |     1.546 |   0.03205 |    0.8412 |
+#> |.....................|    0.7501 |     1.486 |     1.216 |     1.293 |
+#> |    F| Forward Diff. |     8.726 |     1.111 |    0.3721 |   0.03969 |
+#> |.....................|   0.07339 |    -4.588 |    -1.391 |  -0.04583 |
+#> |.....................|    -1.059 |    -2.851 |    -2.052 |    -2.306 |
+#> |   44|     476.61645 |    0.9998 |    -1.215 |   -0.9300 |   -0.9243 |
+#> |.....................|   -0.8958 |   -0.2908 |   -0.7546 |   -0.7711 |
+#> |.....................|    -1.016 |   -0.6442 |   -0.7306 |   -0.6621 |
+#> |    U|     476.61645 |     92.98 |    -5.515 |   -0.9576 |   -0.1399 |
+#> |.....................|     2.250 |     1.546 |   0.03205 |    0.8401 |
+#> |.....................|    0.7517 |     1.485 |     1.217 |     1.294 |
+#> |    X|     476.61645 |     92.98 |  0.004027 |    0.2774 |    0.8694 |
+#> |.....................|     9.484 |     1.546 |   0.03205 |    0.8401 |
+#> |.....................|    0.7517 |     1.485 |     1.217 |     1.294 |
+#> |    F| Forward Diff. |    -5.224 |     1.099 |    0.2980 |   0.02349 |
+#> |.....................| -0.002638 |    -4.438 |    -1.447 |  -0.09166 |
+#> |.....................|    0.4490 |    -2.896 |    -2.021 |    -2.267 |
+#> |   45|     476.60491 |     1.001 |    -1.217 |   -0.9300 |   -0.9242 |
+#> |.....................|   -0.8956 |   -0.2899 |   -0.7543 |   -0.7729 |
+#> |.....................|    -1.016 |   -0.6437 |   -0.7294 |   -0.6608 |
+#> |    U|     476.60491 |     93.08 |    -5.517 |   -0.9576 |   -0.1398 |
+#> |.....................|     2.250 |     1.547 |   0.03206 |    0.8387 |
+#> |.....................|    0.7514 |     1.486 |     1.218 |     1.295 |
+#> |    X|     476.60491 |     93.08 |  0.004018 |    0.2774 |    0.8695 |
+#> |.....................|     9.485 |     1.547 |   0.03206 |    0.8387 |
+#> |.....................|    0.7514 |     1.486 |     1.218 |     1.295 |
+#> |    F| Forward Diff. |     9.891 |     1.101 |    0.3805 |   0.04781 |
+#> |.....................|   0.09121 |    -4.602 |    -1.355 |   -0.1211 |
+#> |.....................|   -0.9908 |    -2.875 |    -1.954 |    -2.212 |
+#> |   46|     476.59275 |    0.9999 |    -1.219 |   -0.9301 |   -0.9241 |
+#> |.....................|   -0.8954 |   -0.2896 |   -0.7542 |   -0.7748 |
+#> |.....................|    -1.017 |   -0.6434 |   -0.7284 |   -0.6597 |
+#> |    U|     476.59275 |     92.99 |    -5.519 |   -0.9576 |   -0.1397 |
+#> |.....................|     2.250 |     1.547 |   0.03206 |    0.8373 |
+#> |.....................|    0.7512 |     1.486 |     1.219 |     1.297 |
+#> |    X|     476.59275 |     92.99 |  0.004009 |    0.2774 |    0.8696 |
+#> |.....................|     9.487 |     1.547 |   0.03206 |    0.8373 |
+#> |.....................|    0.7512 |     1.486 |     1.219 |     1.297 |
+#> |    F| Forward Diff. |    -4.741 |     1.086 |    0.3018 |   0.02978 |
+#> |.....................|   0.01334 |    -4.300 |    -1.393 |  -0.08082 |
+#> |.....................|    0.4335 |    -2.821 |    -1.884 |    -2.156 |
+#> |   47|     476.58049 |     1.001 |    -1.222 |   -0.9302 |   -0.9241 |
+#> |.....................|   -0.8953 |   -0.2889 |   -0.7541 |   -0.7767 |
+#> |.....................|    -1.017 |   -0.6427 |   -0.7275 |   -0.6585 |
+#> |    U|     476.58049 |     93.06 |    -5.522 |   -0.9577 |   -0.1397 |
+#> |.....................|     2.250 |     1.547 |   0.03206 |    0.8359 |
+#> |.....................|    0.7507 |     1.487 |     1.220 |     1.298 |
+#> |    X|     476.58049 |     93.06 |  0.003999 |    0.2773 |    0.8697 |
+#> |.....................|     9.488 |     1.547 |   0.03206 |    0.8359 |
+#> |.....................|    0.7507 |     1.487 |     1.220 |     1.298 |
+#> |   48|     476.57085 |     1.001 |    -1.225 |   -0.9302 |   -0.9239 |
+#> |.....................|   -0.8951 |   -0.2891 |   -0.7542 |   -0.7796 |
+#> |.....................|    -1.018 |   -0.6424 |   -0.7265 |   -0.6573 |
+#> |    U|     476.57085 |     93.06 |    -5.525 |   -0.9578 |   -0.1395 |
+#> |.....................|     2.250 |     1.547 |   0.03206 |    0.8336 |
+#> |.....................|    0.7502 |     1.488 |     1.221 |     1.299 |
+#> |    X|     476.57085 |     93.06 |  0.003985 |    0.2773 |    0.8698 |
+#> |.....................|     9.490 |     1.547 |   0.03206 |    0.8336 |
+#> |.....................|    0.7502 |     1.488 |     1.221 |     1.299 |
+#> |   49|     476.52700 |     1.000 |    -1.243 |   -0.9306 |   -0.9233 |
+#> |.....................|   -0.8940 |   -0.2898 |   -0.7549 |   -0.7948 |
+#> |.....................|    -1.021 |   -0.6409 |   -0.7216 |   -0.6509 |
+#> |    U|       476.527 |     93.02 |    -5.543 |   -0.9582 |   -0.1389 |
+#> |.....................|     2.251 |     1.547 |   0.03205 |    0.8221 |
+#> |.....................|    0.7475 |     1.489 |     1.226 |     1.306 |
+#> |    X|       476.527 |     93.02 |  0.003915 |    0.2772 |    0.8703 |
+#> |.....................|     9.501 |     1.547 |   0.03205 |    0.8221 |
+#> |.....................|    0.7475 |     1.489 |     1.226 |     1.306 |
+#> |   50|     476.45166 |    0.9988 |    -1.314 |   -0.9321 |   -0.9209 |
+#> |.....................|   -0.8895 |   -0.2927 |   -0.7576 |   -0.8554 |
+#> |.....................|    -1.033 |   -0.6351 |   -0.7022 |   -0.6254 |
+#> |    U|     476.45166 |     92.89 |    -5.614 |   -0.9596 |   -0.1365 |
+#> |.....................|     2.256 |     1.545 |   0.03201 |    0.7760 |
+#> |.....................|    0.7365 |     1.496 |     1.247 |     1.333 |
+#> |    X|     476.45166 |     92.89 |  0.003648 |    0.2770 |    0.8724 |
+#> |.....................|     9.543 |     1.545 |   0.03201 |    0.7760 |
+#> |.....................|    0.7365 |     1.496 |     1.247 |     1.333 |
+#> |    F| Forward Diff. |    -21.31 |    0.8191 |    0.2022 |    0.1018 |
+#> |.....................|    0.1327 |    -4.505 |    -1.303 |    -1.202 |
+#> |.....................|    -2.080 |    -2.304 |   -0.3706 |   -0.4948 |
+#> |   51|     476.56836 |     1.004 |    -1.424 |   -0.9336 |   -0.9183 |
+#> |.....................|   -0.8856 |   -0.2810 |   -0.7637 |   -0.9206 |
+#> |.....................|    -1.004 |   -0.6303 |   -0.6962 |   -0.6148 |
+#> |    U|     476.56836 |     93.36 |    -5.724 |   -0.9609 |   -0.1338 |
+#> |.....................|     2.260 |     1.552 |   0.03192 |    0.7265 |
+#> |.....................|    0.7619 |     1.502 |     1.254 |     1.345 |
+#> |    X|     476.56836 |     93.36 |  0.003266 |    0.2767 |    0.8747 |
+#> |.....................|     9.581 |     1.552 |   0.03192 |    0.7265 |
+#> |.....................|    0.7619 |     1.502 |     1.254 |     1.345 |
+#> |   52|     476.44457 |     1.002 |    -1.351 |   -0.9326 |   -0.9200 |
+#> |.....................|   -0.8882 |   -0.2885 |   -0.7595 |   -0.8773 |
+#> |.....................|    -1.024 |   -0.6333 |   -0.7001 |   -0.6218 |
+#> |    U|     476.44457 |     93.15 |    -5.651 |   -0.9600 |   -0.1356 |
+#> |.....................|     2.257 |     1.548 |   0.03198 |    0.7594 |
+#> |.....................|    0.7451 |     1.499 |     1.249 |     1.337 |
+#> |    X|     476.44457 |     93.15 |  0.003514 |    0.2769 |    0.8732 |
+#> |.....................|     9.556 |     1.548 |   0.03198 |    0.7594 |
+#> |.....................|    0.7451 |     1.499 |     1.249 |     1.337 |
+#> |    F| Forward Diff. |     15.82 |    0.7276 |    0.3571 |    0.1746 |
+#> |.....................|    0.4004 |    -4.436 |   -0.9222 |    -1.572 |
+#> |.....................|    -1.287 |    -2.164 |   -0.2873 |   -0.3883 |
+#> |   53|     476.40417 |     1.000 |    -1.371 |   -0.9349 |   -0.9209 |
+#> |.....................|   -0.8904 |   -0.2869 |   -0.7634 |   -0.8782 |
+#> |.....................|    -1.024 |   -0.6262 |   -0.7046 |   -0.6250 |
+#> |    U|     476.40417 |     93.02 |    -5.671 |   -0.9622 |   -0.1365 |
+#> |.....................|     2.255 |     1.549 |   0.03192 |    0.7587 |
+#> |.....................|    0.7444 |     1.507 |     1.245 |     1.334 |
+#> |    X|     476.40417 |     93.02 |  0.003446 |    0.2764 |    0.8724 |
+#> |.....................|     9.535 |     1.549 |   0.03192 |    0.7587 |
+#> |.....................|    0.7444 |     1.507 |     1.245 |     1.334 |
+#> |   54|     476.37918 |     1.000 |    -1.391 |   -0.9372 |   -0.9218 |
+#> |.....................|   -0.8927 |   -0.2856 |   -0.7675 |   -0.8792 |
+#> |.....................|    -1.025 |   -0.6191 |   -0.7092 |   -0.6283 |
+#> |    U|     476.37918 |     93.03 |    -5.691 |   -0.9644 |   -0.1374 |
+#> |.....................|     2.253 |     1.549 |   0.03186 |    0.7580 |
+#> |.....................|    0.7434 |     1.516 |     1.240 |     1.330 |
+#> |    X|     476.37918 |     93.03 |  0.003376 |    0.2760 |    0.8716 |
+#> |.....................|     9.513 |     1.549 |   0.03186 |    0.7580 |
+#> |.....................|    0.7434 |     1.516 |     1.240 |     1.330 |
+#> |   55|     476.33357 |     1.001 |    -1.461 |   -0.9453 |   -0.9249 |
+#> |.....................|   -0.9004 |   -0.2814 |   -0.7818 |   -0.8827 |
+#> |.....................|    -1.029 |   -0.5944 |   -0.7253 |   -0.6399 |
+#> |    U|     476.33357 |     93.07 |    -5.761 |   -0.9719 |   -0.1405 |
+#> |.....................|     2.245 |     1.552 |   0.03165 |    0.7553 |
+#> |.....................|    0.7403 |     1.546 |     1.222 |     1.318 |
+#> |    X|     476.33357 |     93.07 |  0.003146 |    0.2745 |    0.8689 |
+#> |.....................|     9.440 |     1.552 |   0.03165 |    0.7553 |
+#> |.....................|    0.7403 |     1.546 |     1.222 |     1.318 |
+#> |    F| Forward Diff. |    -1.553 |    0.4475 |   -0.2195 |   0.07220 |
+#> |.....................|   0.05655 |    -4.350 |    -1.061 |    -1.750 |
+#> |.....................|    0.1436 |   -0.4527 |    -1.673 |    -1.245 |
+#> |   56|     476.20746 |     1.002 |    -1.571 |   -0.9452 |   -0.9313 |
+#> |.....................|   -0.9123 |   -0.2680 |   -0.8139 |   -0.8382 |
+#> |.....................|    -1.032 |   -0.6009 |   -0.7081 |   -0.6381 |
+#> |    U|     476.20746 |     93.20 |    -5.871 |   -0.9719 |   -0.1469 |
+#> |.....................|     2.233 |     1.560 |   0.03117 |    0.7891 |
+#> |.....................|    0.7373 |     1.538 |     1.241 |     1.320 |
+#> |    X|     476.20746 |     93.20 |  0.002821 |    0.2745 |    0.8634 |
+#> |.....................|     9.328 |     1.560 |   0.03117 |    0.7891 |
+#> |.....................|    0.7373 |     1.538 |     1.241 |     1.320 |
+#> |    F| Forward Diff. |     12.15 |    0.1791 |  -0.01894 | -0.004675 |
+#> |.....................|  -0.06593 |    -5.850 |    -1.512 |    -1.794 |
+#> |.....................|    -1.396 |    -1.647 |   -0.7085 |    -1.309 |
+#> |   57|     476.15444 |     1.000 |    -1.669 |   -0.9317 |   -0.9229 |
+#> |.....................|   -0.8889 |   -0.2480 |   -0.8424 |   -0.7961 |
+#> |.....................|    -1.030 |   -0.6117 |   -0.7275 |   -0.5959 |
+#> |    U|     476.15444 |     93.03 |    -5.969 |   -0.9591 |   -0.1385 |
+#> |.....................|     2.256 |     1.572 |   0.03074 |    0.8211 |
+#> |.....................|    0.7395 |     1.525 |     1.220 |     1.365 |
+#> |    X|     476.15444 |     93.03 |  0.002558 |    0.2771 |    0.8707 |
+#> |.....................|     9.549 |     1.572 |   0.03074 |    0.8211 |
+#> |.....................|    0.7395 |     1.525 |     1.220 |     1.365 |
+#> |    F| Forward Diff. |    -13.97 |  -0.09883 |    0.5245 |    0.1410 |
+#> |.....................|    0.5845 |    -3.407 |    -1.272 |   -0.2800 |
+#> |.....................|    0.9652 |    -1.487 |    -1.684 |    0.3572 |
+#> |   58|     476.18235 |     1.000 |    -1.690 |   -0.9781 |   -0.8961 |
+#> |.....................|   -0.8818 |   -0.1915 |   -0.8548 |   -0.7635 |
+#> |.....................|    -1.041 |   -0.6068 |   -0.6702 |   -0.6625 |
+#> |    U|     476.18235 |     93.04 |    -5.990 |    -1.003 |   -0.1117 |
+#> |.....................|     2.264 |     1.606 |   0.03055 |    0.8458 |
+#> |.....................|    0.7299 |     1.531 |     1.281 |     1.294 |
+#> |    X|     476.18235 |     93.04 |  0.002505 |    0.2684 |    0.8943 |
+#> |.....................|     9.617 |     1.606 |   0.03055 |    0.8458 |
+#> |.....................|    0.7299 |     1.531 |     1.281 |     1.294 |
+#> |   59|     476.08231 |     1.003 |    -1.678 |   -0.9530 |   -0.9107 |
+#> |.....................|   -0.8858 |   -0.2215 |   -0.8479 |   -0.7811 |
+#> |.....................|    -1.035 |   -0.6092 |   -0.7010 |   -0.6265 |
+#> |    U|     476.08231 |     93.25 |    -5.978 |   -0.9792 |   -0.1263 |
+#> |.....................|     2.260 |     1.588 |   0.03066 |    0.8325 |
+#> |.....................|    0.7350 |     1.528 |     1.248 |     1.332 |
+#> |    X|     476.08231 |     93.25 |  0.002533 |    0.2730 |    0.8814 |
+#> |.....................|     9.579 |     1.588 |   0.03066 |    0.8325 |
+#> |.....................|    0.7350 |     1.528 |     1.248 |     1.332 |
+#> |    F| Forward Diff. |     18.25 |  -0.08933 |   -0.2508 |    0.5157 |
+#> |.....................|    0.8830 |    -3.835 |    -1.133 |    -1.026 |
+#> |.....................|    -1.010 |    -2.153 |   -0.2439 |    -1.007 |
+#> |   60|     476.03808 |     1.001 |    -1.672 |   -0.9320 |   -0.9310 |
+#> |.....................|   -0.9291 |   -0.2079 |   -0.8419 |   -0.7733 |
+#> |.....................|    -1.039 |   -0.6026 |   -0.6913 |   -0.6380 |
+#> |    U|     476.03808 |     93.13 |    -5.972 |   -0.9594 |   -0.1466 |
+#> |.....................|     2.216 |     1.596 |   0.03074 |    0.8384 |
+#> |.....................|    0.7314 |     1.536 |     1.259 |     1.320 |
+#> |    X|     476.03808 |     93.13 |  0.002548 |    0.2770 |    0.8636 |
+#> |.....................|     9.173 |     1.596 |   0.03074 |    0.8384 |
+#> |.....................|    0.7314 |     1.536 |     1.259 |     1.320 |
+#> |    F| Forward Diff. |    -5.407 |  -0.06545 |    0.6727 |   0.05373 |
+#> |.....................|   -0.4541 |    -1.330 |   -0.5709 |   -0.1224 |
+#> |.....................|   -0.8702 |    -1.228 |    0.2640 |    -1.506 |
+#> |   61|     476.03300 |     1.003 |    -1.664 |   -0.9621 |   -0.9598 |
+#> |.....................|   -0.9520 |   -0.2020 |   -0.8337 |   -0.7650 |
+#> |.....................|    -1.042 |   -0.6106 |   -0.7076 |   -0.6154 |
+#> |    U|       476.033 |     93.29 |    -5.964 |   -0.9878 |   -0.1754 |
+#> |.....................|     2.193 |     1.599 |   0.03087 |    0.8447 |
+#> |.....................|    0.7289 |     1.526 |     1.241 |     1.344 |
+#> |    X|       476.033 |     93.29 |  0.002569 |    0.2714 |    0.8391 |
+#> |.....................|     8.966 |     1.599 |   0.03087 |    0.8447 |
+#> |.....................|    0.7289 |     1.526 |     1.241 |     1.344 |
+#> |    F| Forward Diff. |     15.25 | -0.008049 |   -0.5780 |   -0.5632 |
+#> |.....................|   -0.9601 |   -0.9870 |   -0.1614 |  -0.08306 |
+#> |.....................|    0.3446 |    -1.564 |   -0.5735 |   -0.5777 |
+#> |   62|     475.98457 |     1.001 |    -1.657 |   -0.9620 |   -0.9650 |
+#> |.....................|   -0.9284 |   -0.2016 |   -0.8312 |   -0.7567 |
+#> |.....................|    -1.045 |   -0.6004 |   -0.7091 |   -0.6133 |
+#> |    U|     475.98457 |     93.13 |    -5.957 |   -0.9877 |   -0.1806 |
+#> |.....................|     2.217 |     1.600 |   0.03091 |    0.8511 |
+#> |.....................|    0.7262 |     1.538 |     1.240 |     1.346 |
+#> |    X|     475.98457 |     93.13 |  0.002588 |    0.2714 |    0.8347 |
+#> |.....................|     9.180 |     1.600 |   0.03091 |    0.8511 |
+#> |.....................|    0.7262 |     1.538 |     1.240 |     1.346 |
+#> |   63|     475.96536 |     1.003 |    -1.649 |   -0.9620 |   -0.9705 |
+#> |.....................|   -0.9043 |   -0.2014 |   -0.8286 |   -0.7480 |
+#> |.....................|    -1.048 |   -0.5903 |   -0.7109 |   -0.6113 |
+#> |    U|     475.96536 |     93.24 |    -5.949 |   -0.9876 |   -0.1861 |
+#> |.....................|     2.241 |     1.600 |   0.03094 |    0.8576 |
+#> |.....................|    0.7235 |     1.551 |     1.238 |     1.349 |
+#> |    X|     475.96536 |     93.24 |  0.002608 |    0.2714 |    0.8302 |
+#> |.....................|     9.403 |     1.600 |   0.03094 |    0.8576 |
+#> |.....................|    0.7235 |     1.551 |     1.238 |     1.349 |
+#> |   64|     476.05821 |     1.003 |    -1.627 |   -0.9618 |   -0.9866 |
+#> |.....................|   -0.8332 |   -0.2007 |   -0.8211 |   -0.7226 |
+#> |.....................|    -1.057 |   -0.5602 |   -0.7159 |   -0.6052 |
+#> |    U|     476.05821 |     93.28 |    -5.927 |   -0.9874 |   -0.2022 |
+#> |.....................|     2.312 |     1.600 |   0.03106 |    0.8769 |
+#> |.....................|    0.7156 |     1.587 |     1.233 |     1.355 |
+#> |    X|     476.05821 |     93.28 |  0.002666 |    0.2714 |    0.8169 |
+#> |.....................|     10.10 |     1.600 |   0.03106 |    0.8769 |
+#> |.....................|    0.7156 |     1.587 |     1.233 |     1.355 |
+#> |    F| Forward Diff. |     11.90 |   0.05098 |   -0.6601 |   -0.8657 |
+#> |.....................|    0.4347 |   -0.9523 |   -0.3178 |   -0.1283 |
+#> |.....................|   -0.1024 |   -0.7800 |   -0.7284 |   -0.4981 |
+#> |   65|     476.00714 |     1.001 |    -1.643 |   -0.9512 |   -0.8390 |
+#> |.....................|   -0.8932 |   -0.2051 |   -0.7956 |   -0.7365 |
+#> |.....................|    -1.045 |   -0.5599 |   -0.7127 |   -0.5744 |
+#> |    U|     476.00714 |     93.11 |    -5.943 |   -0.9775 |  -0.05460 |
+#> |.....................|     2.252 |     1.598 |   0.03144 |    0.8663 |
+#> |.....................|    0.7264 |     1.588 |     1.236 |     1.388 |
+#> |    X|     476.00714 |     93.11 |  0.002624 |    0.2734 |    0.9469 |
+#> |.....................|     9.508 |     1.598 |   0.03144 |    0.8663 |
+#> |.....................|    0.7264 |     1.588 |     1.236 |     1.388 |
+#> |   66|     475.93814 |     1.000 |    -1.647 |   -0.9575 |   -0.9171 |
+#> |.....................|   -0.8999 |   -0.2027 |   -0.8152 |   -0.7434 |
+#> |.....................|    -1.047 |   -0.5779 |   -0.7115 |   -0.5963 |
+#> |    U|     475.93814 |     93.01 |    -5.947 |   -0.9834 |   -0.1327 |
+#> |.....................|     2.245 |     1.599 |   0.03115 |    0.8612 |
+#> |.....................|    0.7247 |     1.566 |     1.237 |     1.365 |
+#> |    X|     475.93814 |     93.01 |  0.002614 |    0.2722 |    0.8757 |
+#> |.....................|     9.445 |     1.599 |   0.03115 |    0.8612 |
+#> |.....................|    0.7247 |     1.566 |     1.237 |     1.365 |
+#> |    F| Forward Diff. |    -23.67 |   0.03897 |   -0.7058 |    0.2979 |
+#> |.....................|    0.2507 |   -0.5051 |   -0.4675 |  -0.05050 |
+#> |.....................|    -1.329 |   -0.1594 |   -0.7628 |    0.1885 |
+#> |   67|     475.98668 |     1.003 |    -1.653 |   -0.9119 |   -0.8938 |
+#> |.....................|   -0.8940 |   -0.2050 |   -0.7980 |   -0.7479 |
+#> |.....................|    -1.040 |   -0.5617 |   -0.7056 |   -0.5853 |
+#> |    U|     475.98668 |     93.26 |    -5.953 |   -0.9406 |   -0.1094 |
+#> |.....................|     2.251 |     1.598 |   0.03140 |    0.8577 |
+#> |.....................|    0.7310 |     1.586 |     1.243 |     1.376 |
+#> |    X|     475.98668 |     93.26 |  0.002598 |    0.2808 |    0.8964 |
+#> |.....................|     9.501 |     1.598 |   0.03140 |    0.8577 |
+#> |.....................|    0.7310 |     1.586 |     1.243 |     1.376 |
+#> |   68|     475.93401 |     1.003 |    -1.649 |   -0.9419 |   -0.9092 |
+#> |.....................|   -0.8979 |   -0.2035 |   -0.8093 |   -0.7449 |
+#> |.....................|    -1.044 |   -0.5723 |   -0.7094 |   -0.5925 |
+#> |    U|     475.93401 |     93.26 |    -5.949 |   -0.9687 |   -0.1248 |
+#> |.....................|     2.247 |     1.599 |   0.03123 |    0.8600 |
+#> |.....................|    0.7270 |     1.573 |     1.239 |     1.369 |
+#> |    X|     475.93401 |     93.26 |  0.002609 |    0.2751 |    0.8827 |
+#> |.....................|     9.464 |     1.599 |   0.03123 |    0.8600 |
+#> |.....................|    0.7270 |     1.573 |     1.239 |     1.369 |
+#> |    F| Forward Diff. |     21.62 |   0.03755 |    0.3553 |    0.5344 |
+#> |.....................|    0.5780 |   -0.8226 |   -0.2181 |   -0.2167 |
+#> |.....................|    -1.049 |  0.002537 |   -0.7279 |    0.2347 |
+#> |   69|     475.92580 |     1.001 |    -1.653 |   -0.9417 |   -0.9124 |
+#> |.....................|   -0.8966 |   -0.2037 |   -0.8058 |   -0.7501 |
+#> |.....................|    -1.041 |   -0.5739 |   -0.7048 |   -0.5926 |
+#> |    U|      475.9258 |     93.12 |    -5.953 |   -0.9686 |   -0.1280 |
+#> |.....................|     2.249 |     1.598 |   0.03129 |    0.8560 |
+#> |.....................|    0.7297 |     1.571 |     1.244 |     1.369 |
+#> |    X|      475.9258 |     93.12 |  0.002598 |    0.2752 |    0.8798 |
+#> |.....................|     9.476 |     1.598 |   0.03129 |    0.8560 |
+#> |.....................|    0.7297 |     1.571 |     1.244 |     1.369 |
+#> |    F| Forward Diff. |    -1.238 |  0.003180 |    0.2025 |    0.4289 |
+#> |.....................|    0.4493 |   -0.2935 |   -0.2270 |   -0.1209 |
+#> |.....................|    0.3327 |  -0.04065 |   -0.4864 |    0.2705 |
+#> |   70|     475.92421 |     1.002 |    -1.655 |   -0.9475 |   -0.9180 |
+#> |.....................|   -0.8971 |   -0.2051 |   -0.8017 |   -0.7499 |
+#> |.....................|    -1.041 |   -0.5760 |   -0.7024 |   -0.5951 |
+#> |    U|     475.92421 |     93.14 |    -5.955 |   -0.9740 |   -0.1336 |
+#> |.....................|     2.248 |     1.598 |   0.03135 |    0.8562 |
+#> |.....................|    0.7299 |     1.568 |     1.247 |     1.366 |
+#> |    X|     475.92421 |     93.14 |  0.002593 |    0.2741 |    0.8749 |
+#> |.....................|     9.472 |     1.598 |   0.03135 |    0.8562 |
+#> |.....................|    0.7299 |     1.568 |     1.247 |     1.366 |
+#> |    F| Forward Diff. |     1.572 | 0.0005078 |  -0.07939 |    0.3039 |
+#> |.....................|    0.4520 |   -0.5123 |   -0.2298 |   -0.1955 |
+#> |.....................|    0.3506 |   -0.1759 |   -0.3471 |    0.1717 |
+#> |   71|     475.91356 |     1.001 |    -1.654 |   -0.9476 |   -0.9223 |
+#> |.....................|   -0.8992 |   -0.2071 |   -0.7965 |   -0.7440 |
+#> |.....................|    -1.043 |   -0.5749 |   -0.7035 |   -0.5974 |
+#> |    U|     475.91356 |     93.12 |    -5.954 |   -0.9741 |   -0.1379 |
+#> |.....................|     2.246 |     1.596 |   0.03143 |    0.8607 |
+#> |.....................|    0.7278 |     1.569 |     1.246 |     1.363 |
+#> |    X|     475.91356 |     93.12 |  0.002596 |    0.2741 |    0.8712 |
+#> |.....................|     9.452 |     1.596 |   0.03143 |    0.8607 |
+#> |.....................|    0.7278 |     1.569 |     1.246 |     1.363 |
+#> |   72|     475.89054 |     1.001 |    -1.650 |   -0.9479 |   -0.9349 |
+#> |.....................|   -0.9054 |   -0.2136 |   -0.7808 |   -0.7261 |
+#> |.....................|    -1.051 |   -0.5716 |   -0.7071 |   -0.6043 |
+#> |    U|     475.89054 |     93.11 |    -5.950 |   -0.9744 |   -0.1505 |
+#> |.....................|     2.240 |     1.592 |   0.03166 |    0.8742 |
+#> |.....................|    0.7214 |     1.574 |     1.242 |     1.356 |
+#> |    X|     475.89054 |     93.11 |  0.002606 |    0.2740 |    0.8602 |
+#> |.....................|     9.393 |     1.592 |   0.03166 |    0.8742 |
+#> |.....................|    0.7214 |     1.574 |     1.242 |     1.356 |
+#> |    F| Forward Diff. |    -3.467 |   0.05330 |   -0.1133 |   -0.1045 |
+#> |.....................|    0.1362 |   -0.3304 |   -0.2172 |   0.04726 |
+#> |.....................|    -1.416 |   0.08323 |   -0.4566 |   -0.2851 |
+#> |   73|     476.06529 |     1.002 |    -1.688 |   -0.8959 |   -0.9784 |
+#> |.....................|   -0.9076 |   -0.2354 |   -0.6823 |   -0.7302 |
+#> |.....................|    -1.035 |   -0.5603 |   -0.6700 |   -0.6079 |
+#> |    U|     476.06529 |     93.20 |    -5.988 |   -0.9255 |   -0.1940 |
+#> |.....................|     2.238 |     1.579 |   0.03314 |    0.8712 |
+#> |.....................|    0.7347 |     1.587 |     1.281 |     1.352 |
+#> |    X|     476.06529 |     93.20 |  0.002510 |    0.2838 |    0.8236 |
+#> |.....................|     9.372 |     1.579 |   0.03314 |    0.8712 |
+#> |.....................|    0.7347 |     1.587 |     1.281 |     1.352 |
+#> |   74|     475.89054 |     1.001 |    -1.650 |   -0.9479 |   -0.9349 |
+#> |.....................|   -0.9054 |   -0.2136 |   -0.7808 |   -0.7261 |
+#> |.....................|    -1.051 |   -0.5716 |   -0.7071 |   -0.6043 |
+#> |    U|     475.89054 |     93.11 |    -5.950 |   -0.9744 |   -0.1505 |
+#> |.....................|     2.240 |     1.592 |   0.03166 |    0.8742 |
+#> |.....................|    0.7214 |     1.574 |     1.242 |     1.356 |
+#> |    X|     475.89054 |     93.11 |  0.002606 |    0.2740 |    0.8602 |
+#> |.....................|     9.393 |     1.592 |   0.03166 |    0.8742 |
+#> |.....................|    0.7214 |     1.574 |     1.242 |     1.356 |
+#> calculating covariance matrix
+#> done
+#> Calculating residuals/tables
+#> done
+#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))
+#> Warning: ETAs were reset to zero during optimization; (Can control by foceiControl(resetEtaP=.))
+#> Warning: gradient problems with initial estimate and covariance; see $scaleInfo
+f_nlmixr_dfop_sfo_focei_tc <- nlmixr(f_mmkin_tc["DFOP-SFO", ], est = "focei")
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → calculate jacobian
+#> 
+#> → calculate sensitivities
+#> 
+#> → calculate ∂(f)/∂(η)
+#> 
+#> → calculate ∂(R²)/∂(η)
+#> 
+#> → finding duplicate expressions in inner model...
+#> 
+#> → optimizing duplicate expressions in inner model...
+#> 
+#> → finding duplicate expressions in EBE model...
+#> 
+#> → optimizing duplicate expressions in EBE model...
+#> 
+#> → compiling inner model...
+#>  
+#> ✔ done
+#> → finding duplicate expressions in FD model...
+#> 
+#> → optimizing duplicate expressions in FD model...
+#> 
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> → compiling events FD model...
+#>  
+#> ✔ done
+#> Needed Covariates:
+#> [1] "CMT"
+#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
+#> F: Forward difference gradient approximation
+#> C: Central difference gradient approximation
+#> M: Mixed forward and central difference gradient approximation
+#> Unscaled parameters for Omegas=chol(solve(omega));
+#> Diagonals are transformed, as specified by foceiControl(diagXform=)
+#> |-----+---------------+-----------+-----------+-----------+-----------|
+#> |    #| Objective Fun |  parent_0 |  log_k_A1 |f_parent_qlogis |    log_k1 |
+#> |.....................|    log_k2 |  g_qlogis | sigma_low |  rsd_high |
+#> |.....................|        o1 |        o2 |        o3 |        o4 |
+#> |.....................|        o5 |        o6 |...........|...........|
+#> |    1|     495.48573 |     1.000 |    -1.000 |   -0.9104 |   -0.9376 |
+#> |.....................|   -0.9875 |   -0.8823 |   -0.8746 |   -0.8907 |
+#> |.....................|   -0.8767 |   -0.8731 |   -0.8673 |   -0.8720 |
+#> |.....................|   -0.8739 |   -0.8666 |...........|...........|
+#> |    U|     495.48573 |     91.00 |    -5.200 |   -0.8900 |    -2.200 |
+#> |.....................|    -4.600 |    0.4600 |    0.8300 |   0.05800 |
+#> |.....................|    0.7311 |    0.9036 |     1.183 |    0.9554 |
+#> |.....................|    0.8633 |     1.214 |...........|...........|
+#> |    X|     495.48573 |     91.00 |  0.005517 |    0.2911 |    0.1108 |
+#> |.....................|   0.01005 |    0.6130 |    0.8300 |   0.05800 |
+#> |.....................|    0.7311 |    0.9036 |     1.183 |    0.9554 |
+#> |.....................|    0.8633 |     1.214 |...........|...........|
+#> |    G|    Gill Diff. |   -0.9650 |     2.223 |   -0.3153 |  -0.01817 |
+#> |.....................|   -0.3350 |    0.6789 |    -29.17 |    -19.58 |
+#> |.....................|    0.9642 |     9.851 |    -11.94 |    -1.319 |
+#> |.....................|     8.578 |    -12.45 |...........|...........|
+#> |    2|     487.27153 |     1.023 |    -1.054 |   -0.9028 |   -0.9372 |
+#> |.....................|   -0.9794 |   -0.8987 |   -0.1695 |   -0.4175 |
+#> |.....................|   -0.9000 |    -1.111 |   -0.5788 |   -0.8401 |
+#> |.....................|    -1.081 |   -0.5657 |...........|...........|
+#> |    U|     487.27153 |     93.12 |    -5.254 |   -0.8832 |    -2.200 |
+#> |.....................|    -4.592 |    0.4525 |     1.123 |   0.07172 |
+#> |.....................|    0.7141 |    0.6884 |     1.525 |    0.9859 |
+#> |.....................|    0.6843 |     1.580 |...........|...........|
+#> |    X|     487.27153 |     93.12 |  0.005228 |    0.2925 |    0.1109 |
+#> |.....................|   0.01013 |    0.6112 |     1.123 |   0.07172 |
+#> |.....................|    0.7141 |    0.6884 |     1.525 |    0.9859 |
+#> |.....................|    0.6843 |     1.580 |...........|...........|
+#> |    F| Forward Diff. |     131.2 |     1.375 |     2.844 |   -0.2311 |
+#> |.....................|    0.2724 |    0.4206 |     9.234 |     14.82 |
+#> |.....................|   -0.3432 |    -1.547 |    -2.137 |     2.699 |
+#> |.....................|    -4.845 |    -6.389 |...........|...........|
+#> |    3|     3806.3530 |    0.1967 |    -1.082 |   -0.9181 |   -0.9356 |
+#> |.....................|   -0.9782 |   -0.9073 |   0.02635 |   -0.3409 |
+#> |.....................|   -0.9062 |    -1.204 |   -0.4610 |   -0.8458 |
+#> |.....................|    -1.125 |   -0.4164 |...........|...........|
+#> |    U|      3806.353 |     17.90 |    -5.282 |   -0.8969 |    -2.198 |
+#> |.....................|    -4.591 |    0.4485 |     1.204 |   0.07394 |
+#> |.....................|    0.7095 |    0.6043 |     1.664 |    0.9805 |
+#> |.....................|    0.6463 |     1.761 |...........|...........|
+#> |    X|      3806.353 |     17.90 |  0.005083 |    0.2897 |    0.1110 |
+#> |.....................|   0.01015 |    0.6103 |     1.204 |   0.07394 |
+#> |.....................|    0.7095 |    0.6043 |     1.664 |    0.9805 |
+#> |.....................|    0.6463 |     1.761 |...........|...........|
+#> |    4|     498.29847 |    0.9363 |    -1.055 |   -0.9047 |   -0.9370 |
+#> |.....................|   -0.9796 |   -0.8990 |   -0.1756 |   -0.4273 |
+#> |.....................|   -0.8998 |    -1.110 |   -0.5773 |   -0.8419 |
+#> |.....................|    -1.078 |   -0.5615 |...........|...........|
+#> |    U|     498.29847 |     85.20 |    -5.255 |   -0.8849 |    -2.199 |
+#> |.....................|    -4.592 |    0.4523 |     1.120 |   0.07144 |
+#> |.....................|    0.7142 |    0.6894 |     1.526 |    0.9842 |
+#> |.....................|    0.6871 |     1.585 |...........|...........|
+#> |    X|     498.29847 |     85.20 |  0.005223 |    0.2922 |    0.1109 |
+#> |.....................|   0.01013 |    0.6112 |     1.120 |   0.07144 |
+#> |.....................|    0.7142 |    0.6894 |     1.526 |    0.9842 |
+#> |.....................|    0.6871 |     1.585 |...........|...........|
+#> |    5|     485.66266 |     1.001 |    -1.054 |   -0.9033 |   -0.9372 |
+#> |.....................|   -0.9795 |   -0.8988 |   -0.1711 |   -0.4200 |
+#> |.....................|   -0.8999 |    -1.111 |   -0.5784 |   -0.8406 |
+#> |.....................|    -1.080 |   -0.5646 |...........|...........|
+#> |    U|     485.66266 |     91.08 |    -5.254 |   -0.8836 |    -2.200 |
+#> |.....................|    -4.592 |    0.4524 |     1.122 |   0.07165 |
+#> |.....................|    0.7141 |    0.6887 |     1.525 |    0.9855 |
+#> |.....................|    0.6850 |     1.581 |...........|...........|
+#> |    X|     485.66266 |     91.08 |  0.005227 |    0.2924 |    0.1109 |
+#> |.....................|   0.01013 |    0.6112 |     1.122 |   0.07165 |
+#> |.....................|    0.7141 |    0.6887 |     1.525 |    0.9855 |
+#> |.....................|    0.6850 |     1.581 |...........|...........|
+#> |    F| Forward Diff. |     5.221 |     1.276 |    0.8286 |   0.07146 |
+#> |.....................|    0.3378 |    0.6177 |     8.950 |     14.42 |
+#> |.....................|    -2.232 |    -2.934 |    -2.090 |     2.822 |
+#> |.....................|    -4.031 |    -6.085 |...........|...........|
+#> |    6|     485.32609 |    0.9950 |    -1.055 |   -0.9042 |   -0.9372 |
+#> |.....................|   -0.9799 |   -0.8995 |   -0.1813 |   -0.4364 |
+#> |.....................|   -0.8974 |    -1.108 |   -0.5760 |   -0.8438 |
+#> |.....................|    -1.076 |   -0.5577 |...........|...........|
+#> |    U|     485.32609 |     90.54 |    -5.255 |   -0.8845 |    -2.200 |
+#> |.....................|    -4.592 |    0.4521 |     1.118 |   0.07117 |
+#> |.....................|    0.7160 |    0.6917 |     1.528 |    0.9824 |
+#> |.....................|    0.6890 |     1.589 |...........|...........|
+#> |    X|     485.32609 |     90.54 |  0.005219 |    0.2922 |    0.1108 |
+#> |.....................|   0.01013 |    0.6111 |     1.118 |   0.07117 |
+#> |.....................|    0.7160 |    0.6917 |     1.528 |    0.9824 |
+#> |.....................|    0.6890 |     1.589 |...........|...........|
+#> |    F| Forward Diff. |    -30.72 |     1.256 |    0.2407 |    0.1468 |
+#> |.....................|    0.3576 |    0.6982 |     8.550 |     13.79 |
+#> |.....................|    -2.152 |    -3.092 |    -1.869 |     2.672 |
+#> |.....................|    -3.399 |    -5.827 |...........|...........|
+#> |    7|     484.94767 |     1.003 |    -1.055 |   -0.9045 |   -0.9373 |
+#> |.....................|   -0.9801 |   -0.8996 |   -0.1956 |   -0.4497 |
+#> |.....................|   -0.8963 |    -1.103 |   -0.5795 |   -0.8455 |
+#> |.....................|    -1.071 |   -0.5595 |...........|...........|
+#> |    U|     484.94767 |     91.28 |    -5.255 |   -0.8848 |    -2.200 |
+#> |.....................|    -4.593 |    0.4521 |     1.112 |   0.07079 |
+#> |.....................|    0.7168 |    0.6961 |     1.524 |    0.9808 |
+#> |.....................|    0.6930 |     1.587 |...........|...........|
+#> |    X|     484.94767 |     91.28 |  0.005220 |    0.2922 |    0.1108 |
+#> |.....................|   0.01013 |    0.6111 |     1.112 |   0.07079 |
+#> |.....................|    0.7168 |    0.6961 |     1.524 |    0.9808 |
+#> |.....................|    0.6930 |     1.587 |...........|...........|
+#> |    F| Forward Diff. |     16.95 |     1.308 |    0.9181 |   0.03760 |
+#> |.....................|    0.3308 |    0.6549 |     8.124 |     13.74 |
+#> |.....................|    -1.975 |    -2.369 |    -2.107 |     2.437 |
+#> |.....................|    -3.334 |    -5.928 |...........|...........|
+#> |    8|     484.63747 |    0.9965 |    -1.055 |   -0.9051 |   -0.9373 |
+#> |.....................|   -0.9805 |   -0.8998 |   -0.2100 |   -0.4642 |
+#> |.....................|   -0.8952 |    -1.098 |   -0.5823 |   -0.8472 |
+#> |.....................|    -1.067 |   -0.5602 |...........|...........|
+#> |    U|     484.63747 |     90.68 |    -5.255 |   -0.8853 |    -2.200 |
+#> |.....................|    -4.593 |    0.4520 |     1.106 |   0.07037 |
+#> |.....................|    0.7176 |    0.7002 |     1.521 |    0.9792 |
+#> |.....................|    0.6968 |     1.586 |...........|...........|
+#> |    X|     484.63747 |     90.68 |  0.005220 |    0.2921 |    0.1108 |
+#> |.....................|   0.01012 |    0.6111 |     1.106 |   0.07037 |
+#> |.....................|    0.7176 |    0.7002 |     1.521 |    0.9792 |
+#> |.....................|    0.6968 |     1.586 |...........|...........|
+#> |    F| Forward Diff. |    -22.67 |     1.288 |    0.2773 |    0.1211 |
+#> |.....................|    0.3459 |    0.7203 |     8.028 |     13.24 |
+#> |.....................|    -1.967 |    -2.555 |    -2.117 |     2.333 |
+#> |.....................|    -2.789 |    -5.812 |...........|...........|
+#> |    9|     484.31288 |     1.003 |    -1.055 |   -0.9054 |   -0.9374 |
+#> |.....................|   -0.9808 |   -0.9000 |   -0.2248 |   -0.4783 |
+#> |.....................|   -0.8942 |    -1.094 |   -0.5856 |   -0.8486 |
+#> |.....................|    -1.063 |   -0.5617 |...........|...........|
+#> |    U|     484.31288 |     91.27 |    -5.255 |   -0.8855 |    -2.200 |
+#> |.....................|    -4.593 |    0.4519 |     1.100 |   0.06996 |
+#> |.....................|    0.7183 |    0.7043 |     1.517 |    0.9778 |
+#> |.....................|    0.7003 |     1.585 |...........|...........|
+#> |    X|     484.31288 |     91.27 |  0.005220 |    0.2920 |    0.1108 |
+#> |.....................|   0.01012 |    0.6111 |     1.100 |   0.06996 |
+#> |.....................|    0.7183 |    0.7043 |     1.517 |    0.9778 |
+#> |.....................|    0.7003 |     1.585 |...........|...........|
+#> |    F| Forward Diff. |     16.32 |     1.333 |    0.8110 |   0.03416 |
+#> |.....................|    0.3225 |    0.6774 |     7.502 |     12.95 |
+#> |.....................|    -1.990 |    -1.849 |    -2.190 |     2.193 |
+#> |.....................|    -2.714 |    -5.891 |...........|...........|
+#> |   10|     484.03445 |    0.9966 |    -1.055 |   -0.9058 |   -0.9374 |
+#> |.....................|   -0.9811 |   -0.9003 |   -0.2393 |   -0.4932 |
+#> |.....................|   -0.8929 |    -1.090 |   -0.5881 |   -0.8501 |
+#> |.....................|    -1.059 |   -0.5620 |...........|...........|
+#> |    U|     484.03445 |     90.69 |    -5.255 |   -0.8859 |    -2.200 |
+#> |.....................|    -4.594 |    0.4517 |     1.094 |   0.06953 |
+#> |.....................|    0.7192 |    0.7079 |     1.514 |    0.9764 |
+#> |.....................|    0.7034 |     1.584 |...........|...........|
+#> |    X|     484.03445 |     90.69 |  0.005219 |    0.2919 |    0.1108 |
+#> |.....................|   0.01012 |    0.6110 |     1.094 |   0.06953 |
+#> |.....................|    0.7192 |    0.7079 |     1.514 |    0.9764 |
+#> |.....................|    0.7034 |     1.584 |...........|...........|
+#> |    F| Forward Diff. |    -23.34 |     1.311 |    0.1997 |    0.1136 |
+#> |.....................|    0.3397 |    0.7422 |     7.043 |     12.17 |
+#> |.....................|    -1.843 |    -2.075 |    -2.300 |     2.141 |
+#> |.....................|    -2.235 |    -5.778 |...........|...........|
+#> |   11|     483.72794 |     1.003 |    -1.056 |   -0.9061 |   -0.9374 |
+#> |.....................|   -0.9815 |   -0.9008 |   -0.2540 |   -0.5081 |
+#> |.....................|   -0.8918 |    -1.086 |   -0.5906 |   -0.8514 |
+#> |.....................|    -1.056 |   -0.5623 |...........|...........|
+#> |    U|     483.72794 |     91.28 |    -5.256 |   -0.8861 |    -2.200 |
+#> |.....................|    -4.594 |    0.4515 |     1.088 |   0.06909 |
+#> |.....................|    0.7200 |    0.7113 |     1.511 |    0.9751 |
+#> |.....................|    0.7061 |     1.584 |...........|...........|
+#> |    X|     483.72794 |     91.28 |  0.005217 |    0.2919 |    0.1108 |
+#> |.....................|   0.01011 |    0.6110 |     1.088 |   0.06909 |
+#> |.....................|    0.7200 |    0.7113 |     1.511 |    0.9751 |
+#> |.....................|    0.7061 |     1.584 |...........|...........|
+#> |    F| Forward Diff. |     16.56 |     1.355 |    0.7367 |   0.03002 |
+#> |.....................|    0.3166 |    0.7021 |     6.528 |     11.89 |
+#> |.....................|    -1.880 |    -1.512 |    -2.404 |     1.917 |
+#> |.....................|    -2.215 |    -5.846 |...........|...........|
+#> |   12|     483.44272 |    0.9974 |    -1.057 |   -0.9064 |   -0.9375 |
+#> |.....................|   -0.9820 |   -0.9016 |   -0.2678 |   -0.5243 |
+#> |.....................|   -0.8904 |    -1.083 |   -0.5914 |   -0.8528 |
+#> |.....................|    -1.054 |   -0.5601 |...........|...........|
+#> |    U|     483.44272 |     90.76 |    -5.257 |   -0.8865 |    -2.200 |
+#> |.....................|    -4.594 |    0.4511 |     1.082 |   0.06862 |
+#> |.....................|    0.7211 |    0.7141 |     1.510 |    0.9738 |
+#> |.....................|    0.7081 |     1.587 |...........|...........|
+#> |    X|     483.44272 |     90.76 |  0.005212 |    0.2918 |    0.1108 |
+#> |.....................|   0.01011 |    0.6109 |     1.082 |   0.06862 |
+#> |.....................|    0.7211 |    0.7141 |     1.510 |    0.9738 |
+#> |.....................|    0.7081 |     1.587 |...........|...........|
+#> |    F| Forward Diff. |    -19.50 |     1.332 |    0.2061 |    0.1022 |
+#> |.....................|    0.3336 |    0.7519 |     5.944 |     11.09 |
+#> |.....................|    -1.878 |    -1.675 |    -2.404 |     1.054 |
+#> |.....................|    -1.833 |    -5.715 |...........|...........|
+#> |   13|     483.13758 |     1.003 |    -1.059 |   -0.9067 |   -0.9375 |
+#> |.....................|   -0.9826 |   -0.9029 |   -0.2791 |   -0.5415 |
+#> |.....................|   -0.8881 |    -1.081 |   -0.5896 |   -0.8508 |
+#> |.....................|    -1.053 |   -0.5541 |...........|...........|
+#> |    U|     483.13758 |     91.30 |    -5.259 |   -0.8867 |    -2.200 |
+#> |.....................|    -4.595 |    0.4505 |     1.077 |   0.06813 |
+#> |.....................|    0.7227 |    0.7157 |     1.512 |    0.9758 |
+#> |.....................|    0.7089 |     1.594 |...........|...........|
+#> |    X|     483.13758 |     91.30 |  0.005202 |    0.2918 |    0.1108 |
+#> |.....................|   0.01010 |    0.6108 |     1.077 |   0.06813 |
+#> |.....................|    0.7227 |    0.7157 |     1.512 |    0.9758 |
+#> |.....................|    0.7089 |     1.594 |...........|...........|
+#> |    F| Forward Diff. |     16.83 |     1.368 |    0.7006 |   0.02276 |
+#> |.....................|    0.3159 |    0.7144 |     5.487 |     10.74 |
+#> |.....................|    -1.773 |    -1.125 |    -2.251 |     1.956 |
+#> |.....................|    -1.882 |    -5.671 |...........|...........|
+#> |   14|     482.85180 |    0.9981 |    -1.062 |   -0.9072 |   -0.9376 |
+#> |.....................|   -0.9834 |   -0.9050 |   -0.2850 |   -0.5582 |
+#> |.....................|   -0.8853 |    -1.082 |   -0.5852 |   -0.8503 |
+#> |.....................|    -1.053 |   -0.5428 |...........|...........|
+#> |    U|      482.8518 |     90.83 |    -5.262 |   -0.8872 |    -2.200 |
+#> |.....................|    -4.596 |    0.4496 |     1.075 |   0.06764 |
+#> |.....................|    0.7248 |    0.7152 |     1.517 |    0.9762 |
+#> |.....................|    0.7084 |     1.607 |...........|...........|
+#> |    X|      482.8518 |     90.83 |  0.005184 |    0.2917 |    0.1108 |
+#> |.....................|   0.01009 |    0.6105 |     1.075 |   0.06764 |
+#> |.....................|    0.7248 |    0.7152 |     1.517 |    0.9762 |
+#> |.....................|    0.7084 |     1.607 |...........|...........|
+#> |    F| Forward Diff. |    -16.64 |     1.337 |    0.2421 |   0.09047 |
+#> |.....................|    0.3389 |    0.7643 |     5.051 |     10.06 |
+#> |.....................|    -1.787 |    -1.445 |    -2.047 |     2.073 |
+#> |.....................|    -1.627 |    -5.410 |...........|...........|
+#> |   15|     482.60290 |     1.003 |    -1.066 |   -0.9079 |   -0.9377 |
+#> |.....................|   -0.9844 |   -0.9075 |   -0.2858 |   -0.5723 |
+#> |.....................|   -0.8822 |    -1.083 |   -0.5806 |   -0.8571 |
+#> |.....................|    -1.055 |   -0.5294 |...........|...........|
+#> |    U|      482.6029 |     91.28 |    -5.266 |   -0.8878 |    -2.200 |
+#> |.....................|    -4.597 |    0.4484 |     1.074 |   0.06723 |
+#> |.....................|    0.7271 |    0.7136 |     1.523 |    0.9697 |
+#> |.....................|    0.7072 |     1.624 |...........|...........|
+#> |    X|      482.6029 |     91.28 |  0.005162 |    0.2916 |    0.1108 |
+#> |.....................|   0.01008 |    0.6103 |     1.074 |   0.06723 |
+#> |.....................|    0.7271 |    0.7136 |     1.523 |    0.9697 |
+#> |.....................|    0.7072 |     1.624 |...........|...........|
+#> |    F| Forward Diff. |     14.50 |     1.352 |    0.6742 |   0.02192 |
+#> |.....................|    0.3317 |    0.7297 |     4.803 |     9.894 |
+#> |.....................|    -1.694 |    -1.220 |    -2.031 |     1.506 |
+#> |.....................|    -1.722 |    -5.269 |...........|...........|
+#> |   16|     482.37953 |    0.9987 |    -1.071 |   -0.9090 |   -0.9377 |
+#> |.....................|   -0.9857 |   -0.9106 |   -0.2840 |   -0.5862 |
+#> |.....................|   -0.8787 |    -1.084 |   -0.5758 |   -0.8611 |
+#> |.....................|    -1.056 |   -0.5150 |...........|...........|
+#> |    U|     482.37953 |     90.88 |    -5.271 |   -0.8888 |    -2.200 |
+#> |.....................|    -4.598 |    0.4470 |     1.075 |   0.06683 |
+#> |.....................|    0.7296 |    0.7132 |     1.528 |    0.9659 |
+#> |.....................|    0.7058 |     1.641 |...........|...........|
+#> |    X|     482.37953 |     90.88 |  0.005137 |    0.2914 |    0.1108 |
+#> |.....................|   0.01007 |    0.6099 |     1.075 |   0.06683 |
+#> |.....................|    0.7296 |    0.7132 |     1.528 |    0.9659 |
+#> |.....................|    0.7058 |     1.641 |...........|...........|
+#> |   17|     482.17662 |    0.9986 |    -1.077 |   -0.9102 |   -0.9378 |
+#> |.....................|   -0.9871 |   -0.9141 |   -0.2800 |   -0.5994 |
+#> |.....................|   -0.8750 |    -1.085 |   -0.5707 |   -0.8654 |
+#> |.....................|    -1.059 |   -0.4996 |...........|...........|
+#> |    U|     482.17662 |     90.88 |    -5.277 |   -0.8898 |    -2.200 |
+#> |.....................|    -4.600 |    0.4454 |     1.077 |   0.06645 |
+#> |.....................|    0.7323 |    0.7123 |     1.534 |    0.9618 |
+#> |.....................|    0.7037 |     1.660 |...........|...........|
+#> |    X|     482.17662 |     90.88 |  0.005108 |    0.2911 |    0.1108 |
+#> |.....................|   0.01006 |    0.6095 |     1.077 |   0.06645 |
+#> |.....................|    0.7323 |    0.7123 |     1.534 |    0.9618 |
+#> |.....................|    0.7037 |     1.660 |...........|...........|
+#> |   18|     481.54428 |    0.9984 |    -1.097 |   -0.9142 |   -0.9379 |
+#> |.....................|   -0.9921 |   -0.9262 |   -0.2660 |   -0.6456 |
+#> |.....................|   -0.8623 |    -1.088 |   -0.5530 |   -0.8805 |
+#> |.....................|    -1.068 |   -0.4457 |...........|...........|
+#> |    U|     481.54428 |     90.86 |    -5.297 |   -0.8934 |    -2.200 |
+#> |.....................|    -4.605 |    0.4398 |     1.083 |   0.06511 |
+#> |.....................|    0.7417 |    0.7091 |     1.555 |    0.9473 |
+#> |.....................|    0.6961 |     1.725 |...........|...........|
+#> |    X|     481.54428 |     90.86 |  0.005009 |    0.2904 |    0.1108 |
+#> |.....................|   0.01001 |    0.6082 |     1.083 |   0.06511 |
+#> |.....................|    0.7417 |    0.7091 |     1.555 |    0.9473 |
+#> |.....................|    0.6961 |     1.725 |...........|...........|
+#> |   19|     480.42060 |    0.9980 |    -1.149 |   -0.9249 |   -0.9384 |
+#> |.....................|    -1.006 |   -0.9588 |   -0.2285 |   -0.7695 |
+#> |.....................|   -0.8280 |    -1.098 |   -0.5055 |   -0.9211 |
+#> |.....................|    -1.091 |   -0.3011 |...........|...........|
+#> |    U|      480.4206 |     90.81 |    -5.349 |   -0.9029 |    -2.201 |
+#> |.....................|    -4.618 |    0.4248 |     1.098 |   0.06151 |
+#> |.....................|    0.7667 |    0.7005 |     1.611 |    0.9085 |
+#> |.....................|    0.6759 |     1.901 |...........|...........|
+#> |    X|      480.4206 |     90.81 |  0.004753 |    0.2885 |    0.1107 |
+#> |.....................|  0.009872 |    0.6046 |     1.098 |   0.06151 |
+#> |.....................|    0.7667 |    0.7005 |     1.611 |    0.9085 |
+#> |.....................|    0.6759 |     1.901 |...........|...........|
+#> |    F| Forward Diff. |    -36.54 |     1.160 |   -0.4282 |   0.02550 |
+#> |.....................|    0.4248 |    0.7330 |     2.572 |     4.769 |
+#> |.....................|    -1.047 |    -1.982 |     1.244 |    -3.305 |
+#> |.....................|    -1.792 |    -2.494 |...........|...........|
+#> |   20|     480.52888 |     1.003 |    -1.232 |   -0.9300 |   -0.9345 |
+#> |.....................|    -1.037 |    -1.013 |   -0.2660 |   -0.9542 |
+#> |.....................|   -0.7770 |    -1.021 |   -0.6177 |   -0.7306 |
+#> |.....................|    -1.035 |   -0.1927 |...........|...........|
+#> |    U|     480.52888 |     91.28 |    -5.432 |   -0.9075 |    -2.197 |
+#> |.....................|    -4.649 |    0.3997 |     1.083 |   0.05616 |
+#> |.....................|    0.8040 |    0.7699 |     1.479 |     1.091 |
+#> |.....................|    0.7247 |     2.033 |...........|...........|
+#> |    X|     480.52888 |     91.28 |  0.004374 |    0.2875 |    0.1111 |
+#> |.....................|  0.009571 |    0.5986 |     1.083 |   0.05616 |
+#> |.....................|    0.8040 |    0.7699 |     1.479 |     1.091 |
+#> |.....................|    0.7247 |     2.033 |...........|...........|
+#> |   21|     479.69850 |     1.004 |    -1.189 |   -0.9273 |   -0.9365 |
+#> |.....................|    -1.020 |   -0.9850 |   -0.2467 |   -0.8583 |
+#> |.....................|   -0.8035 |    -1.061 |   -0.5593 |   -0.8297 |
+#> |.....................|    -1.064 |   -0.2490 |...........|...........|
+#> |    U|      479.6985 |     91.34 |    -5.389 |   -0.9050 |    -2.199 |
+#> |.....................|    -4.633 |    0.4128 |     1.091 |   0.05894 |
+#> |.....................|    0.7846 |    0.7338 |     1.548 |    0.9959 |
+#> |.....................|    0.6994 |     1.964 |...........|...........|
+#> |    X|      479.6985 |     91.34 |  0.004567 |    0.2880 |    0.1109 |
+#> |.....................|  0.009727 |    0.6018 |     1.091 |   0.05894 |
+#> |.....................|    0.7846 |    0.7338 |     1.548 |    0.9959 |
+#> |.....................|    0.6994 |     1.964 |...........|...........|
+#> |    F| Forward Diff. |     5.264 |     1.163 |  -0.05494 |  -0.06753 |
+#> |.....................|    0.3641 |    0.6248 |    0.1998 |     1.877 |
+#> |.....................|   -0.5696 |    0.3809 |    0.8989 |     3.758 |
+#> |.....................|    0.2123 |    -1.578 |...........|...........|
+#> |   22|     479.87893 |     1.001 |    -1.256 |   -0.9150 |   -0.9312 |
+#> |.....................|    -1.045 |    -1.024 |   -0.2268 |   -0.8946 |
+#> |.....................|   -0.7799 |    -1.052 |   -0.6825 |   -0.8629 |
+#> |.....................|    -1.056 |   -0.2060 |...........|...........|
+#> |    U|     479.87893 |     91.06 |    -5.456 |   -0.8941 |    -2.194 |
+#> |.....................|    -4.658 |    0.3949 |     1.099 |   0.05789 |
+#> |.....................|    0.8019 |    0.7416 |     1.402 |    0.9642 |
+#> |.....................|    0.7063 |     2.016 |...........|...........|
+#> |    X|     479.87893 |     91.06 |  0.004269 |    0.2903 |    0.1115 |
+#> |.....................|  0.009490 |    0.5975 |     1.099 |   0.05789 |
+#> |.....................|    0.8019 |    0.7416 |     1.402 |    0.9642 |
+#> |.....................|    0.7063 |     2.016 |...........|...........|
+#> |   23|     479.70356 |    0.9996 |    -1.214 |   -0.9229 |   -0.9346 |
+#> |.....................|    -1.029 |   -0.9992 |   -0.2397 |   -0.8723 |
+#> |.....................|   -0.7947 |    -1.058 |   -0.6038 |   -0.8437 |
+#> |.....................|    -1.061 |   -0.2328 |...........|...........|
+#> |    U|     479.70356 |     90.96 |    -5.414 |   -0.9011 |    -2.197 |
+#> |.....................|    -4.642 |    0.4062 |     1.093 |   0.05853 |
+#> |.....................|    0.7910 |    0.7364 |     1.495 |    0.9825 |
+#> |.....................|    0.7017 |     1.984 |...........|...........|
+#> |    X|     479.70356 |     90.96 |  0.004455 |    0.2888 |    0.1111 |
+#> |.....................|  0.009639 |    0.6002 |     1.093 |   0.05853 |
+#> |.....................|    0.7910 |    0.7364 |     1.495 |    0.9825 |
+#> |.....................|    0.7017 |     1.984 |...........|...........|
+#> |   24|     479.71523 |    0.9993 |    -1.201 |   -0.9253 |   -0.9356 |
+#> |.....................|    -1.025 |   -0.9918 |   -0.2436 |   -0.8656 |
+#> |.....................|   -0.7992 |    -1.060 |   -0.5801 |   -0.8379 |
+#> |.....................|    -1.063 |   -0.2408 |...........|...........|
+#> |    U|     479.71523 |     90.93 |    -5.401 |   -0.9032 |    -2.198 |
+#> |.....................|    -4.637 |    0.4096 |     1.092 |   0.05873 |
+#> |.....................|    0.7877 |    0.7349 |     1.523 |    0.9880 |
+#> |.....................|    0.7004 |     1.974 |...........|...........|
+#> |    X|     479.71523 |     90.93 |  0.004513 |    0.2884 |    0.1110 |
+#> |.....................|  0.009685 |    0.6010 |     1.092 |   0.05873 |
+#> |.....................|    0.7877 |    0.7349 |     1.523 |    0.9880 |
+#> |.....................|    0.7004 |     1.974 |...........|...........|
+#> |   25|     479.73471 |    0.9991 |    -1.194 |   -0.9266 |   -0.9362 |
+#> |.....................|    -1.022 |   -0.9877 |   -0.2457 |   -0.8619 |
+#> |.....................|   -0.8017 |    -1.061 |   -0.5670 |   -0.8347 |
+#> |.....................|    -1.064 |   -0.2453 |...........|...........|
+#> |    U|     479.73471 |     90.92 |    -5.394 |   -0.9044 |    -2.199 |
+#> |.....................|    -4.635 |    0.4115 |     1.091 |   0.05884 |
+#> |.....................|    0.7859 |    0.7340 |     1.539 |    0.9911 |
+#> |.....................|    0.6996 |     1.969 |...........|...........|
+#> |    X|     479.73471 |     90.92 |  0.004545 |    0.2881 |    0.1110 |
+#> |.....................|  0.009710 |    0.6015 |     1.091 |   0.05884 |
+#> |.....................|    0.7859 |    0.7340 |     1.539 |    0.9911 |
+#> |.....................|    0.6996 |     1.969 |...........|...........|
+#> |   26|     479.71271 |     1.001 |    -1.190 |   -0.9273 |   -0.9365 |
+#> |.....................|    -1.021 |   -0.9854 |   -0.2468 |   -0.8594 |
+#> |.....................|   -0.8032 |    -1.061 |   -0.5599 |   -0.8320 |
+#> |.....................|    -1.064 |   -0.2481 |...........|...........|
+#> |    U|     479.71271 |     91.05 |    -5.390 |   -0.9050 |    -2.199 |
+#> |.....................|    -4.633 |    0.4126 |     1.091 |   0.05891 |
+#> |.....................|    0.7849 |    0.7336 |     1.547 |    0.9937 |
+#> |.....................|    0.6993 |     1.965 |...........|...........|
+#> |    X|     479.71271 |     91.05 |  0.004564 |    0.2880 |    0.1109 |
+#> |.....................|  0.009725 |    0.6017 |     1.091 |   0.05891 |
+#> |.....................|    0.7849 |    0.7336 |     1.547 |    0.9937 |
+#> |.....................|    0.6993 |     1.965 |...........|...........|
+#> |   27|     479.69386 |     1.003 |    -1.189 |   -0.9273 |   -0.9365 |
+#> |.....................|    -1.020 |   -0.9851 |   -0.2467 |   -0.8587 |
+#> |.....................|   -0.8034 |    -1.061 |   -0.5595 |   -0.8305 |
+#> |.....................|    -1.064 |   -0.2487 |...........|...........|
+#> |    U|     479.69386 |     91.24 |    -5.389 |   -0.9050 |    -2.199 |
+#> |.....................|    -4.633 |    0.4127 |     1.091 |   0.05893 |
+#> |.....................|    0.7847 |    0.7338 |     1.548 |    0.9951 |
+#> |.....................|    0.6994 |     1.965 |...........|...........|
+#> |    X|     479.69386 |     91.24 |  0.004566 |    0.2880 |    0.1109 |
+#> |.....................|  0.009726 |    0.6017 |     1.091 |   0.05893 |
+#> |.....................|    0.7847 |    0.7338 |     1.548 |    0.9951 |
+#> |.....................|    0.6994 |     1.965 |...........|...........|
+#> |    F| Forward Diff. |    -3.722 |     1.155 |   -0.1645 |  -0.05121 |
+#> |.....................|    0.3669 |    0.6376 |   0.06785 |     1.772 |
+#> |.....................|   -0.5854 |    0.2936 |    0.9229 |     3.709 |
+#> |.....................|    0.2520 |    -1.579 |...........|...........|
+#> |   28|     479.68901 |     1.004 |    -1.189 |   -0.9273 |   -0.9365 |
+#> |.....................|    -1.021 |   -0.9853 |   -0.2467 |   -0.8591 |
+#> |.....................|   -0.8033 |    -1.061 |   -0.5597 |   -0.8314 |
+#> |.....................|    -1.064 |   -0.2483 |...........|...........|
+#> |    U|     479.68901 |     91.32 |    -5.389 |   -0.9050 |    -2.199 |
+#> |.....................|    -4.633 |    0.4126 |     1.091 |   0.05892 |
+#> |.....................|    0.7848 |    0.7337 |     1.547 |    0.9942 |
+#> |.....................|    0.6993 |     1.965 |...........|...........|
+#> |    X|     479.68901 |     91.32 |  0.004565 |    0.2880 |    0.1109 |
+#> |.....................|  0.009725 |    0.6017 |     1.091 |   0.05892 |
+#> |.....................|    0.7848 |    0.7337 |     1.547 |    0.9942 |
+#> |.....................|    0.6993 |     1.965 |...........|...........|
+#> |    F| Forward Diff. |     3.772 |     1.160 |  -0.07003 |  -0.06455 |
+#> |.....................|    0.3646 |    0.6238 |   0.08418 |     1.806 |
+#> |.....................|   -0.5672 |    0.3711 |    0.9250 |     3.651 |
+#> |.....................|    0.2161 |    -1.579 |...........|...........|
+#> |   29|     479.68474 |     1.003 |    -1.190 |   -0.9272 |   -0.9365 |
+#> |.....................|    -1.021 |   -0.9854 |   -0.2468 |   -0.8595 |
+#> |.....................|   -0.8031 |    -1.061 |   -0.5600 |   -0.8323 |
+#> |.....................|    -1.064 |   -0.2479 |...........|...........|
+#> |    U|     479.68474 |     91.24 |    -5.390 |   -0.9050 |    -2.199 |
+#> |.....................|    -4.633 |    0.4126 |     1.091 |   0.05890 |
+#> |.....................|    0.7849 |    0.7336 |     1.547 |    0.9934 |
+#> |.....................|    0.6993 |     1.966 |...........|...........|
+#> |    X|     479.68474 |     91.24 |  0.004563 |    0.2880 |    0.1109 |
+#> |.....................|  0.009724 |    0.6017 |     1.091 |   0.05890 |
+#> |.....................|    0.7849 |    0.7336 |     1.547 |    0.9934 |
+#> |.....................|    0.6993 |     1.966 |...........|...........|
+#> |    F| Forward Diff. |    -3.834 |     1.153 |   -0.1599 |  -0.05010 |
+#> |.....................|    0.3669 |    0.6355 |   0.09191 |     1.764 |
+#> |.....................|   -0.5796 |    0.2889 |     1.006 |     3.561 |
+#> |.....................|    0.2610 |    -1.565 |...........|...........|
+#> |   30|     479.68016 |     1.004 |    -1.190 |   -0.9272 |   -0.9365 |
+#> |.....................|    -1.021 |   -0.9856 |   -0.2468 |   -0.8600 |
+#> |.....................|   -0.8030 |    -1.061 |   -0.5602 |   -0.8332 |
+#> |.....................|    -1.064 |   -0.2475 |...........|...........|
+#> |    U|     479.68016 |     91.32 |    -5.390 |   -0.9050 |    -2.199 |
+#> |.....................|    -4.633 |    0.4125 |     1.091 |   0.05889 |
+#> |.....................|    0.7850 |    0.7336 |     1.547 |    0.9926 |
+#> |.....................|    0.6992 |     1.966 |...........|...........|
+#> |    X|     479.68016 |     91.32 |  0.004562 |    0.2880 |    0.1109 |
+#> |.....................|  0.009723 |    0.6017 |     1.091 |   0.05889 |
+#> |.....................|    0.7850 |    0.7336 |     1.547 |    0.9926 |
+#> |.....................|    0.6992 |     1.966 |...........|...........|
+#> |    F| Forward Diff. |     3.891 |     1.158 |  -0.06530 |  -0.06447 |
+#> |.....................|    0.3645 |    0.6207 |    0.1821 |     1.812 |
+#> |.....................|   -0.5486 |    0.3656 |     1.002 |     3.562 |
+#> |.....................|    0.2233 |    -1.574 |...........|...........|
+#> |   31|     479.67614 |     1.003 |    -1.190 |   -0.9272 |   -0.9365 |
+#> |.....................|    -1.021 |   -0.9857 |   -0.2468 |   -0.8604 |
+#> |.....................|   -0.8028 |    -1.061 |   -0.5604 |   -0.8341 |
+#> |.....................|    -1.064 |   -0.2472 |...........|...........|
+#> |    U|     479.67614 |     91.24 |    -5.390 |   -0.9049 |    -2.199 |
+#> |.....................|    -4.633 |    0.4124 |     1.091 |   0.05888 |
+#> |.....................|    0.7851 |    0.7335 |     1.546 |    0.9917 |
+#> |.....................|    0.6992 |     1.966 |...........|...........|
+#> |    X|     479.67614 |     91.24 |  0.004561 |    0.2880 |    0.1109 |
+#> |.....................|  0.009722 |    0.6017 |     1.091 |   0.05888 |
+#> |.....................|    0.7851 |    0.7335 |     1.546 |    0.9917 |
+#> |.....................|    0.6992 |     1.966 |...........|...........|
+#> |    F| Forward Diff. |    -3.915 |     1.151 |   -0.1574 |  -0.04977 |
+#> |.....................|    0.3672 |    0.6321 |   0.06058 |     1.705 |
+#> |.....................|   -0.5691 |    0.2601 |    0.8724 |     3.420 |
+#> |.....................|    0.2638 |    -1.562 |...........|...........|
+#> |   32|     479.67180 |     1.004 |    -1.191 |   -0.9271 |   -0.9364 |
+#> |.....................|    -1.021 |   -0.9859 |   -0.2469 |   -0.8608 |
+#> |.....................|   -0.8027 |    -1.061 |   -0.5607 |   -0.8349 |
+#> |.....................|    -1.064 |   -0.2468 |...........|...........|
+#> |    U|      479.6718 |     91.33 |    -5.391 |   -0.9049 |    -2.199 |
+#> |.....................|    -4.633 |    0.4124 |     1.091 |   0.05887 |
+#> |.....................|    0.7852 |    0.7334 |     1.546 |    0.9909 |
+#> |.....................|    0.6991 |     1.967 |...........|...........|
+#> |    X|      479.6718 |     91.33 |  0.004560 |    0.2880 |    0.1109 |
+#> |.....................|  0.009722 |    0.6017 |     1.091 |   0.05887 |
+#> |.....................|    0.7852 |    0.7334 |     1.546 |    0.9909 |
+#> |.....................|    0.6991 |     1.967 |...........|...........|
+#> |    F| Forward Diff. |     4.074 |     1.157 |  -0.05990 |  -0.06452 |
+#> |.....................|    0.3645 |    0.6170 |    0.1286 |     1.744 |
+#> |.....................|   -0.5576 |    0.3161 |    0.9007 |     3.345 |
+#> |.....................|    0.2216 |    -1.572 |...........|...........|
+#> |   33|     479.66809 |     1.003 |    -1.191 |   -0.9271 |   -0.9364 |
+#> |.....................|    -1.021 |   -0.9860 |   -0.2469 |   -0.8613 |
+#> |.....................|   -0.8026 |    -1.062 |   -0.5609 |   -0.8357 |
+#> |.....................|    -1.064 |   -0.2464 |...........|...........|
+#> |    U|     479.66809 |     91.23 |    -5.391 |   -0.9049 |    -2.199 |
+#> |.....................|    -4.634 |    0.4123 |     1.091 |   0.05885 |
+#> |.....................|    0.7853 |    0.7334 |     1.546 |    0.9901 |
+#> |.....................|    0.6991 |     1.967 |...........|...........|
+#> |    X|     479.66809 |     91.23 |  0.004558 |    0.2880 |    0.1109 |
+#> |.....................|  0.009721 |    0.6016 |     1.091 |   0.05885 |
+#> |.....................|    0.7853 |    0.7334 |     1.546 |    0.9901 |
+#> |.....................|    0.6991 |     1.967 |...........|...........|
+#> |    F| Forward Diff. |    -4.161 |     1.149 |   -0.1570 |  -0.04911 |
+#> |.....................|    0.3674 |    0.6293 |   0.04215 |     1.668 |
+#> |.....................|   -0.5621 |    0.2625 |    0.8940 |     3.313 |
+#> |.....................|    0.2611 |    -1.561 |...........|...........|
+#> |   34|     479.66397 |     1.004 |    -1.191 |   -0.9271 |   -0.9364 |
+#> |.....................|    -1.021 |   -0.9862 |   -0.2469 |   -0.8617 |
+#> |.....................|   -0.8024 |    -1.062 |   -0.5611 |   -0.8366 |
+#> |.....................|    -1.064 |   -0.2460 |...........|...........|
+#> |    U|     479.66397 |     91.33 |    -5.391 |   -0.9049 |    -2.199 |
+#> |.....................|    -4.634 |    0.4122 |     1.091 |   0.05884 |
+#> |.....................|    0.7854 |    0.7333 |     1.546 |    0.9893 |
+#> |.....................|    0.6990 |     1.968 |...........|...........|
+#> |    X|     479.66397 |     91.33 |  0.004557 |    0.2881 |    0.1109 |
+#> |.....................|  0.009720 |    0.6016 |     1.091 |   0.05884 |
+#> |.....................|    0.7854 |    0.7333 |     1.546 |    0.9893 |
+#> |.....................|    0.6990 |     1.968 |...........|...........|
+#> |    F| Forward Diff. |     4.197 |     1.155 |  -0.05534 |  -0.06448 |
+#> |.....................|    0.3644 |    0.6140 |    0.1526 |     1.765 |
+#> |.....................|   -0.5340 |    0.3555 |    0.9900 |     3.325 |
+#> |.....................|    0.2199 |    -1.571 |...........|...........|
+#> |   35|     479.66043 |     1.003 |    -1.191 |   -0.9271 |   -0.9364 |
+#> |.....................|    -1.021 |   -0.9863 |   -0.2469 |   -0.8621 |
+#> |.....................|   -0.8023 |    -1.062 |   -0.5613 |   -0.8374 |
+#> |.....................|    -1.064 |   -0.2456 |...........|...........|
+#> |    U|     479.66043 |     91.23 |    -5.391 |   -0.9048 |    -2.199 |
+#> |.....................|    -4.634 |    0.4122 |     1.090 |   0.05883 |
+#> |.....................|    0.7855 |    0.7332 |     1.545 |    0.9886 |
+#> |.....................|    0.6989 |     1.968 |...........|...........|
+#> |    X|     479.66043 |     91.23 |  0.004556 |    0.2881 |    0.1109 |
+#> |.....................|  0.009719 |    0.6016 |     1.090 |   0.05883 |
+#> |.....................|    0.7855 |    0.7332 |     1.545 |    0.9886 |
+#> |.....................|    0.6989 |     1.968 |...........|...........|
+#> |    F| Forward Diff. |    -4.161 |     1.147 |   -0.1538 |  -0.04891 |
+#> |.....................|    0.3674 |    0.6262 |   0.06581 |     1.677 |
+#> |.....................|   -0.5453 |    0.2828 |     1.029 |     3.251 |
+#> |.....................|    0.2683 |    -1.555 |...........|...........|
+#> |   36|     479.65652 |     1.004 |    -1.192 |   -0.9270 |   -0.9364 |
+#> |.....................|    -1.021 |   -0.9865 |   -0.2469 |   -0.8625 |
+#> |.....................|   -0.8022 |    -1.062 |   -0.5616 |   -0.8382 |
+#> |.....................|    -1.064 |   -0.2452 |...........|...........|
+#> |    U|     479.65652 |     91.33 |    -5.392 |   -0.9048 |    -2.199 |
+#> |.....................|    -4.634 |    0.4121 |     1.090 |   0.05882 |
+#> |.....................|    0.7856 |    0.7332 |     1.545 |    0.9878 |
+#> |.....................|    0.6989 |     1.969 |...........|...........|
+#> |    X|     479.65652 |     91.33 |  0.004554 |    0.2881 |    0.1109 |
+#> |.....................|  0.009718 |    0.6016 |     1.090 |   0.05882 |
+#> |.....................|    0.7856 |    0.7332 |     1.545 |    0.9878 |
+#> |.....................|    0.6989 |     1.969 |...........|...........|
+#> |    F| Forward Diff. |     4.221 |     1.153 |  -0.05203 |  -0.06424 |
+#> |.....................|    0.3643 |    0.6104 |   0.04854 |     1.680 |
+#> |.....................|   -0.5365 |    0.2999 |    0.7877 |     3.080 |
+#> |.....................|    0.2284 |    -1.566 |...........|...........|
+#> |   37|     479.65328 |     1.003 |    -1.192 |   -0.9270 |   -0.9364 |
+#> |.....................|    -1.021 |   -0.9866 |   -0.2470 |   -0.8629 |
+#> |.....................|   -0.8020 |    -1.062 |   -0.5618 |   -0.8389 |
+#> |.....................|    -1.064 |   -0.2448 |...........|...........|
+#> |    U|     479.65328 |     91.23 |    -5.392 |   -0.9048 |    -2.199 |
+#> |.....................|    -4.634 |    0.4120 |     1.090 |   0.05880 |
+#> |.....................|    0.7857 |    0.7331 |     1.545 |    0.9871 |
+#> |.....................|    0.6988 |     1.969 |...........|...........|
+#> |    X|     479.65328 |     91.23 |  0.004553 |    0.2881 |    0.1109 |
+#> |.....................|  0.009717 |    0.6016 |     1.090 |   0.05880 |
+#> |.....................|    0.7857 |    0.7331 |     1.545 |    0.9871 |
+#> |.....................|    0.6988 |     1.969 |...........|...........|
+#> |    F| Forward Diff. |    -4.438 |     1.145 |   -0.1538 |  -0.04822 |
+#> |.....................|    0.3675 |    0.6235 | 0.0004265 |     1.625 |
+#> |.....................|   -0.5487 |    0.2329 |    0.8499 |     3.058 |
+#> |.....................|    0.2658 |    -1.554 |...........|...........|
+#> |   38|     479.64923 |     1.004 |    -1.192 |   -0.9270 |   -0.9364 |
+#> |.....................|    -1.022 |   -0.9868 |   -0.2469 |   -0.8633 |
+#> |.....................|   -0.8019 |    -1.062 |   -0.5621 |   -0.8396 |
+#> |.....................|    -1.065 |   -0.2444 |...........|...........|
+#> |    U|     479.64923 |     91.32 |    -5.392 |   -0.9048 |    -2.199 |
+#> |.....................|    -4.634 |    0.4119 |     1.091 |   0.05879 |
+#> |.....................|    0.7858 |    0.7330 |     1.544 |    0.9864 |
+#> |.....................|    0.6988 |     1.970 |...........|...........|
+#> |    X|     479.64923 |     91.32 |  0.004551 |    0.2881 |    0.1109 |
+#> |.....................|  0.009716 |    0.6015 |     1.091 |   0.05879 |
+#> |.....................|    0.7858 |    0.7330 |     1.544 |    0.9864 |
+#> |.....................|    0.6988 |     1.970 |...........|...........|
+#> |    F| Forward Diff. |     3.878 |     1.150 |  -0.05277 |  -0.06333 |
+#> |.....................|    0.3643 |    0.6074 |   0.07271 |     1.651 |
+#> |.....................|   -0.5369 |    0.2992 |    0.8896 |     2.970 |
+#> |.....................|    0.2314 |    -1.562 |...........|...........|
+#> |   39|     479.64621 |     1.003 |    -1.193 |   -0.9270 |   -0.9363 |
+#> |.....................|    -1.022 |   -0.9870 |   -0.2469 |   -0.8638 |
+#> |.....................|   -0.8017 |    -1.062 |   -0.5623 |   -0.8404 |
+#> |.....................|    -1.065 |   -0.2440 |...........|...........|
+#> |    U|     479.64621 |     91.23 |    -5.393 |   -0.9047 |    -2.199 |
+#> |.....................|    -4.634 |    0.4119 |     1.091 |   0.05878 |
+#> |.....................|    0.7859 |    0.7330 |     1.544 |    0.9856 |
+#> |.....................|    0.6987 |     1.970 |...........|...........|
+#> |    X|     479.64621 |     91.23 |  0.004550 |    0.2881 |    0.1109 |
+#> |.....................|  0.009715 |    0.6015 |     1.091 |   0.05878 |
+#> |.....................|    0.7859 |    0.7330 |     1.544 |    0.9856 |
+#> |.....................|    0.6987 |     1.970 |...........|...........|
+#> |    F| Forward Diff. |    -4.471 |     1.143 |   -0.1506 |  -0.04802 |
+#> |.....................|    0.3674 |    0.6203 | -0.003354 |     1.603 |
+#> |.....................|   -0.5429 |    0.2243 |    0.9025 |     2.920 |
+#> |.....................|    0.2732 |    -1.548 |...........|...........|
+#> |   40|     479.64228 |     1.004 |    -1.193 |   -0.9269 |   -0.9363 |
+#> |.....................|    -1.022 |   -0.9872 |   -0.2468 |   -0.8642 |
+#> |.....................|   -0.8016 |    -1.062 |   -0.5627 |   -0.8411 |
+#> |.....................|    -1.065 |   -0.2435 |...........|...........|
+#> |    U|     479.64228 |     91.32 |    -5.393 |   -0.9047 |    -2.199 |
+#> |.....................|    -4.634 |    0.4118 |     1.091 |   0.05877 |
+#> |.....................|    0.7860 |    0.7329 |     1.544 |    0.9850 |
+#> |.....................|    0.6987 |     1.971 |...........|...........|
+#> |    X|     479.64228 |     91.32 |  0.004548 |    0.2881 |    0.1109 |
+#> |.....................|  0.009714 |    0.6015 |     1.091 |   0.05877 |
+#> |.....................|    0.7860 |    0.7329 |     1.544 |    0.9850 |
+#> |.....................|    0.6987 |     1.971 |...........|...........|
+#> |    F| Forward Diff. |     3.744 |     1.148 |  -0.05088 |  -0.06289 |
+#> |.....................|    0.3642 |    0.6037 |   0.03047 |     1.629 |
+#> |.....................|   -0.5287 |    0.2733 |    0.8334 |     2.850 |
+#> |.....................|    0.2290 |    -1.558 |...........|...........|
+#> |   41|     479.63935 |     1.003 |    -1.193 |   -0.9269 |   -0.9363 |
+#> |.....................|    -1.022 |   -0.9874 |   -0.2468 |   -0.8646 |
+#> |.....................|   -0.8014 |    -1.062 |   -0.5630 |   -0.8419 |
+#> |.....................|    -1.065 |   -0.2431 |...........|...........|
+#> |    U|     479.63935 |     91.23 |    -5.393 |   -0.9047 |    -2.199 |
+#> |.....................|    -4.634 |    0.4117 |     1.091 |   0.05876 |
+#> |.....................|    0.7861 |    0.7329 |     1.543 |    0.9843 |
+#> |.....................|    0.6986 |     1.971 |...........|...........|
+#> |    X|     479.63935 |     91.23 |  0.004547 |    0.2881 |    0.1110 |
+#> |.....................|  0.009713 |    0.6015 |     1.091 |   0.05876 |
+#> |.....................|    0.7861 |    0.7329 |     1.543 |    0.9843 |
+#> |.....................|    0.6986 |     1.971 |...........|...........|
+#> |    F| Forward Diff. |    -4.432 |     1.140 |   -0.1464 |  -0.04798 |
+#> |.....................|    0.3672 |    0.6157 |  -0.06295 |     1.547 |
+#> |.....................|   -0.5341 |    0.1919 |    0.7582 |     2.801 |
+#> |.....................|    0.2698 |    -1.544 |...........|...........|
+#> |   42|     479.63543 |     1.004 |    -1.194 |   -0.9268 |   -0.9363 |
+#> |.....................|    -1.022 |   -0.9876 |   -0.2467 |   -0.8650 |
+#> |.....................|   -0.8013 |    -1.062 |   -0.5633 |   -0.8425 |
+#> |.....................|    -1.065 |   -0.2426 |...........|...........|
+#> |    U|     479.63543 |     91.32 |    -5.394 |   -0.9046 |    -2.199 |
+#> |.....................|    -4.634 |    0.4116 |     1.091 |   0.05874 |
+#> |.....................|    0.7863 |    0.7328 |     1.543 |    0.9837 |
+#> |.....................|    0.6985 |     1.972 |...........|...........|
+#> |    X|     479.63543 |     91.32 |  0.004545 |    0.2881 |    0.1110 |
+#> |.....................|  0.009712 |    0.6015 |     1.091 |   0.05874 |
+#> |.....................|    0.7863 |    0.7328 |     1.543 |    0.9837 |
+#> |.....................|    0.6985 |     1.972 |...........|...........|
+#> |    F| Forward Diff. |     3.612 |     1.146 |  -0.04876 |  -0.06242 |
+#> |.....................|    0.3640 |    0.6002 |   0.04743 |     1.619 |
+#> |.....................|   -0.5199 |    0.2573 |    0.7734 |     2.739 |
+#> |.....................|    0.2298 |    -1.553 |...........|...........|
+#> |   43|     479.63248 |     1.003 |    -1.194 |   -0.9268 |   -0.9363 |
+#> |.....................|    -1.022 |   -0.9878 |   -0.2466 |   -0.8655 |
+#> |.....................|   -0.8011 |    -1.062 |   -0.5636 |   -0.8432 |
+#> |.....................|    -1.065 |   -0.2421 |...........|...........|
+#> |    U|     479.63248 |     91.23 |    -5.394 |   -0.9046 |    -2.199 |
+#> |.....................|    -4.635 |    0.4115 |     1.091 |   0.05873 |
+#> |.....................|    0.7864 |    0.7328 |     1.543 |    0.9830 |
+#> |.....................|    0.6985 |     1.973 |...........|...........|
+#> |    X|     479.63248 |     91.23 |  0.004543 |    0.2881 |    0.1110 |
+#> |.....................|  0.009710 |    0.6014 |     1.091 |   0.05873 |
+#> |.....................|    0.7864 |    0.7328 |     1.543 |    0.9830 |
+#> |.....................|    0.6985 |     1.973 |...........|...........|
+#> |    F| Forward Diff. |    -4.237 |     1.138 |   -0.1400 |  -0.04830 |
+#> |.....................|    0.3668 |    0.6108 |  -0.07665 |     1.521 |
+#> |.....................|   -0.5353 |    0.1893 |    0.7456 |     2.704 |
+#> |.....................|    0.2668 |    -1.543 |...........|...........|
+#> |   44|     479.62869 |     1.004 |    -1.195 |   -0.9268 |   -0.9362 |
+#> |.....................|    -1.022 |   -0.9880 |   -0.2464 |   -0.8659 |
+#> |.....................|   -0.8009 |    -1.062 |   -0.5639 |   -0.8438 |
+#> |.....................|    -1.065 |   -0.2415 |...........|...........|
+#> |    U|     479.62869 |     91.32 |    -5.395 |   -0.9046 |    -2.199 |
+#> |.....................|    -4.635 |    0.4114 |     1.091 |   0.05872 |
+#> |.....................|    0.7865 |    0.7327 |     1.542 |    0.9824 |
+#> |.....................|    0.6984 |     1.973 |...........|...........|
+#> |    X|     479.62869 |     91.32 |  0.004541 |    0.2881 |    0.1110 |
+#> |.....................|  0.009709 |    0.6014 |     1.091 |   0.05872 |
+#> |.....................|    0.7865 |    0.7327 |     1.542 |    0.9824 |
+#> |.....................|    0.6984 |     1.973 |...........|...........|
+#> |    F| Forward Diff. |     3.552 |     1.143 |  -0.04554 |  -0.06221 |
+#> |.....................|    0.3637 |    0.5952 |  -0.01323 |     1.563 |
+#> |.....................|   -0.3448 |    0.2470 |    0.7924 |     2.643 |
+#> |.....................|    0.2272 |    -1.550 |...........|...........|
+#> |   45|     479.62584 |     1.003 |    -1.195 |   -0.9268 |   -0.9362 |
+#> |.....................|    -1.022 |   -0.9883 |   -0.2463 |   -0.8663 |
+#> |.....................|   -0.8008 |    -1.062 |   -0.5642 |   -0.8446 |
+#> |.....................|    -1.065 |   -0.2410 |...........|...........|
+#> |    U|     479.62584 |     91.24 |    -5.395 |   -0.9046 |    -2.199 |
+#> |.....................|    -4.635 |    0.4113 |     1.091 |   0.05871 |
+#> |.....................|    0.7866 |    0.7326 |     1.542 |    0.9817 |
+#> |.....................|    0.6983 |     1.974 |...........|...........|
+#> |    X|     479.62584 |     91.24 |  0.004539 |    0.2881 |    0.1110 |
+#> |.....................|  0.009708 |    0.6014 |     1.091 |   0.05871 |
+#> |.....................|    0.7866 |    0.7326 |     1.542 |    0.9817 |
+#> |.....................|    0.6983 |     1.974 |...........|...........|
+#> |    F| Forward Diff. |    -4.148 |     1.135 |   -0.1348 |  -0.04846 |
+#> |.....................|    0.3664 |    0.6063 | -0.009834 |     1.510 |
+#> |.....................|   -0.5271 |    0.1803 |    0.7932 |     2.587 |
+#> |.....................|    0.2684 |    -1.536 |...........|...........|
+#> |   46|     479.62216 |     1.004 |    -1.195 |   -0.9267 |   -0.9362 |
+#> |.....................|    -1.023 |   -0.9885 |   -0.2462 |   -0.8667 |
+#> |.....................|   -0.8007 |    -1.062 |   -0.5646 |   -0.8451 |
+#> |.....................|    -1.065 |   -0.2404 |...........|...........|
+#> |    U|     479.62216 |     91.32 |    -5.395 |   -0.9045 |    -2.199 |
+#> |.....................|    -4.635 |    0.4112 |     1.091 |   0.05870 |
+#> |.....................|    0.7867 |    0.7326 |     1.541 |    0.9811 |
+#> |.....................|    0.6983 |     1.975 |...........|...........|
+#> |    X|     479.62216 |     91.32 |  0.004537 |    0.2881 |    0.1110 |
+#> |.....................|  0.009706 |    0.6014 |     1.091 |   0.05870 |
+#> |.....................|    0.7867 |    0.7326 |     1.541 |    0.9811 |
+#> |.....................|    0.6983 |     1.975 |...........|...........|
+#> |    F| Forward Diff. |     3.404 |     1.140 |  -0.04564 |  -0.06187 |
+#> |.....................|    0.3633 |    0.5903 |  -0.01970 |     1.541 |
+#> |.....................|   -0.5054 |    0.2303 |    0.6483 |     2.528 |
+#> |.....................|    0.2288 |    -1.542 |...........|...........|
+#> |   47|     479.61938 |     1.003 |    -1.196 |   -0.9267 |   -0.9362 |
+#> |.....................|    -1.023 |   -0.9887 |   -0.2461 |   -0.8672 |
+#> |.....................|   -0.8005 |    -1.062 |   -0.5649 |   -0.8458 |
+#> |.....................|    -1.065 |   -0.2398 |...........|...........|
+#> |    U|     479.61938 |     91.24 |    -5.396 |   -0.9045 |    -2.199 |
+#> |.....................|    -4.635 |    0.4111 |     1.091 |   0.05868 |
+#> |.....................|    0.7868 |    0.7325 |     1.541 |    0.9805 |
+#> |.....................|    0.6982 |     1.975 |...........|...........|
+#> |    X|     479.61938 |     91.24 |  0.004535 |    0.2881 |    0.1110 |
+#> |.....................|  0.009705 |    0.6013 |     1.091 |   0.05868 |
+#> |.....................|    0.7868 |    0.7325 |     1.541 |    0.9805 |
+#> |.....................|    0.6982 |     1.975 |...........|...........|
+#> |    F| Forward Diff. |    -4.197 |     1.132 |   -0.1312 |  -0.04839 |
+#> |.....................|    0.3660 |    0.6012 |   0.05916 |     1.560 |
+#> |.....................|   -0.4869 |    0.2015 |    0.8305 |     2.573 |
+#> |.....................|    0.2666 |    -1.531 |...........|...........|
+#> |   48|     479.61563 |     1.003 |    -1.196 |   -0.9266 |   -0.9361 |
+#> |.....................|    -1.023 |   -0.9890 |   -0.2459 |   -0.8676 |
+#> |.....................|   -0.8003 |    -1.062 |   -0.5653 |   -0.8464 |
+#> |.....................|    -1.065 |   -0.2392 |...........|...........|
+#> |    U|     479.61563 |     91.32 |    -5.396 |   -0.9044 |    -2.199 |
+#> |.....................|    -4.635 |    0.4109 |     1.091 |   0.05867 |
+#> |.....................|    0.7870 |    0.7325 |     1.541 |    0.9799 |
+#> |.....................|    0.6981 |     1.976 |...........|...........|
+#> |    X|     479.61563 |     91.32 |  0.004533 |    0.2881 |    0.1110 |
+#> |.....................|  0.009703 |    0.6013 |     1.091 |   0.05867 |
+#> |.....................|    0.7870 |    0.7325 |     1.541 |    0.9799 |
+#> |.....................|    0.6981 |     1.976 |...........|...........|
+#> |    F| Forward Diff. |     3.024 |     1.137 |  -0.04591 |  -0.06118 |
+#> |.....................|    0.3629 |    0.5856 |  0.004035 |     1.536 |
+#> |.....................|   -0.4978 |    0.2329 |    0.6617 |     2.436 |
+#> |.....................|    0.2318 |    -1.535 |...........|...........|
+#> |   49|     479.61337 |     1.003 |    -1.197 |   -0.9266 |   -0.9361 |
+#> |.....................|    -1.023 |   -0.9892 |   -0.2459 |   -0.8680 |
+#> |.....................|   -0.8001 |    -1.063 |   -0.5655 |   -0.8471 |
+#> |.....................|    -1.065 |   -0.2388 |...........|...........|
+#> |    U|     479.61337 |     91.23 |    -5.397 |   -0.9044 |    -2.198 |
+#> |.....................|    -4.635 |    0.4109 |     1.091 |   0.05866 |
+#> |.....................|    0.7871 |    0.7324 |     1.540 |    0.9792 |
+#> |.....................|    0.6980 |     1.977 |...........|...........|
+#> |    X|     479.61337 |     91.23 |  0.004531 |    0.2881 |    0.1110 |
+#> |.....................|  0.009702 |    0.6013 |     1.091 |   0.05866 |
+#> |.....................|    0.7871 |    0.7324 |     1.540 |    0.9792 |
+#> |.....................|    0.6980 |     1.977 |...........|...........|
+#> |    F| Forward Diff. |    -4.815 |     1.129 |   -0.1342 |  -0.04706 |
+#> |.....................|    0.3660 |    0.5971 |  -0.07697 |     1.438 |
+#> |.....................|   -0.5059 |    0.1462 |    0.6633 |     2.381 |
+#> |.....................|    0.2676 |    -1.522 |...........|...........|
+#> |   50|     479.60932 |     1.003 |    -1.197 |   -0.9266 |   -0.9361 |
+#> |.....................|    -1.023 |   -0.9894 |   -0.2456 |   -0.8684 |
+#> |.....................|   -0.8000 |    -1.063 |   -0.5659 |   -0.8476 |
+#> |.....................|    -1.066 |   -0.2381 |...........|...........|
+#> |    U|     479.60932 |     91.31 |    -5.397 |   -0.9044 |    -2.198 |
+#> |.....................|    -4.636 |    0.4107 |     1.091 |   0.05865 |
+#> |.....................|    0.7872 |    0.7324 |     1.540 |    0.9788 |
+#> |.....................|    0.6979 |     1.977 |...........|...........|
+#> |    X|     479.60932 |     91.31 |  0.004529 |    0.2882 |    0.1110 |
+#> |.....................|  0.009700 |    0.6013 |     1.091 |   0.05865 |
+#> |.....................|    0.7872 |    0.7324 |     1.540 |    0.9788 |
+#> |.....................|    0.6979 |     1.977 |...........|...........|
+#> |    F| Forward Diff. |     2.699 |     1.134 |  -0.04549 |  -0.06017 |
+#> |.....................|    0.3630 |    0.5814 |  -0.04512 |     1.484 |
+#> |.....................|   -0.4915 |    0.2556 |    0.7248 |     2.322 |
+#> |.....................|    0.2317 |    -1.529 |...........|...........|
+#> |   51|     479.60706 |     1.003 |    -1.198 |   -0.9265 |   -0.9361 |
+#> |.....................|    -1.023 |   -0.9896 |   -0.2455 |   -0.8689 |
+#> |.....................|   -0.7998 |    -1.063 |   -0.5661 |   -0.8484 |
+#> |.....................|    -1.066 |   -0.2376 |...........|...........|
+#> |    U|     479.60706 |     91.23 |    -5.398 |   -0.9044 |    -2.198 |
+#> |.....................|    -4.636 |    0.4106 |     1.091 |   0.05863 |
+#> |.....................|    0.7873 |    0.7323 |     1.540 |    0.9781 |
+#> |.....................|    0.6979 |     1.978 |...........|...........|
+#> |    X|     479.60706 |     91.23 |  0.004527 |    0.2882 |    0.1110 |
+#> |.....................|  0.009699 |    0.6012 |     1.091 |   0.05863 |
+#> |.....................|    0.7873 |    0.7323 |     1.540 |    0.9781 |
+#> |.....................|    0.6979 |     1.978 |...........|...........|
+#> |    F| Forward Diff. |    -4.618 |     1.127 |   -0.1276 |  -0.04760 |
+#> |.....................|    0.3656 |    0.5915 |  -0.08622 |     1.415 |
+#> |.....................|   -0.5531 |    0.1512 |    0.6569 |     2.298 |
+#> |.....................|    0.2620 |    -1.540 |...........|...........|
+#> |   52|     479.60314 |     1.003 |    -1.198 |   -0.9265 |   -0.9360 |
+#> |.....................|    -1.023 |   -0.9899 |   -0.2452 |   -0.8692 |
+#> |.....................|   -0.7996 |    -1.063 |   -0.5665 |   -0.8488 |
+#> |.....................|    -1.066 |   -0.2369 |...........|...........|
+#> |    U|     479.60314 |     91.31 |    -5.398 |   -0.9043 |    -2.198 |
+#> |.....................|    -4.636 |    0.4105 |     1.091 |   0.05862 |
+#> |.....................|    0.7875 |    0.7322 |     1.539 |    0.9776 |
+#> |.....................|    0.6978 |     1.979 |...........|...........|
+#> |    X|     479.60314 |     91.31 |  0.004525 |    0.2882 |    0.1110 |
+#> |.....................|  0.009698 |    0.6012 |     1.091 |   0.05862 |
+#> |.....................|    0.7875 |    0.7322 |     1.539 |    0.9776 |
+#> |.....................|    0.6978 |     1.979 |...........|...........|
+#> |    F| Forward Diff. |     2.641 |     1.131 |  -0.04213 |  -0.06002 |
+#> |.....................|    0.3627 |    0.5770 |  -0.05114 |     1.464 |
+#> |.....................|   -0.4913 |    0.1735 |    0.5980 |     2.238 |
+#> |.....................|    0.2116 |    -1.521 |...........|...........|
+#> |   53|     479.60093 |     1.003 |    -1.199 |   -0.9265 |   -0.9360 |
+#> |.....................|    -1.024 |   -0.9901 |   -0.2452 |   -0.8697 |
+#> |.....................|   -0.7994 |    -1.063 |   -0.5667 |   -0.8495 |
+#> |.....................|    -1.066 |   -0.2363 |...........|...........|
+#> |    U|     479.60093 |     91.23 |    -5.399 |   -0.9043 |    -2.198 |
+#> |.....................|    -4.636 |    0.4104 |     1.091 |   0.05861 |
+#> |.....................|    0.7876 |    0.7322 |     1.539 |    0.9769 |
+#> |.....................|    0.6977 |     1.980 |...........|...........|
+#> |    X|     479.60093 |     91.23 |  0.004523 |    0.2882 |    0.1110 |
+#> |.....................|  0.009696 |    0.6012 |     1.091 |   0.05861 |
+#> |.....................|    0.7876 |    0.7322 |     1.539 |    0.9769 |
+#> |.....................|    0.6977 |     1.980 |...........|...........|
+#> |    F| Forward Diff. |    -4.657 |     1.124 |   -0.1240 |  -0.04721 |
+#> |.....................|    0.3655 |    0.5872 |  -0.09119 |     1.382 |
+#> |.....................|   -0.4948 |    0.1646 |    0.6965 |     2.186 |
+#> |.....................|    0.2747 |    -1.512 |...........|...........|
+#> |   54|     479.59701 |     1.003 |    -1.199 |   -0.9264 |   -0.9360 |
+#> |.....................|    -1.024 |   -0.9904 |   -0.2448 |   -0.8700 |
+#> |.....................|   -0.7992 |    -1.063 |   -0.5670 |   -0.8499 |
+#> |.....................|    -1.066 |   -0.2356 |...........|...........|
+#> |    U|     479.59701 |     91.31 |    -5.399 |   -0.9043 |    -2.198 |
+#> |.....................|    -4.636 |    0.4103 |     1.091 |   0.05860 |
+#> |.....................|    0.7877 |    0.7321 |     1.539 |    0.9766 |
+#> |.....................|    0.6976 |     1.980 |...........|...........|
+#> |    X|     479.59701 |     91.31 |  0.004520 |    0.2882 |    0.1110 |
+#> |.....................|  0.009695 |    0.6012 |     1.091 |   0.05860 |
+#> |.....................|    0.7877 |    0.7321 |     1.539 |    0.9766 |
+#> |.....................|    0.6976 |     1.980 |...........|...........|
+#> |    F| Forward Diff. |     2.447 |     1.128 |  -0.03826 |  -0.05934 |
+#> |.....................|    0.3628 |    0.5721 |  -0.04376 |     1.440 |
+#> |.....................|   -0.4844 |    0.2233 |   -0.3355 |     1.410 |
+#> |.....................|   -0.3677 |    -1.539 |...........|...........|
+#> |   55|     479.59436 |     1.003 |    -1.200 |   -0.9264 |   -0.9360 |
+#> |.....................|    -1.024 |   -0.9907 |   -0.2446 |   -0.8705 |
+#> |.....................|   -0.7990 |    -1.063 |   -0.5669 |   -0.8504 |
+#> |.....................|    -1.066 |   -0.2349 |...........|...........|
+#> |    U|     479.59436 |     91.23 |    -5.400 |   -0.9042 |    -2.198 |
+#> |.....................|    -4.636 |    0.4102 |     1.091 |   0.05858 |
+#> |.....................|    0.7879 |    0.7320 |     1.539 |    0.9761 |
+#> |.....................|    0.6977 |     1.981 |...........|...........|
+#> |    X|     479.59436 |     91.23 |  0.004518 |    0.2882 |    0.1110 |
+#> |.....................|  0.009693 |    0.6011 |     1.091 |   0.05858 |
+#> |.....................|    0.7879 |    0.7320 |     1.539 |    0.9761 |
+#> |.....................|    0.6977 |     1.981 |...........|...........|
+#> |    F| Forward Diff. |    -4.478 |     1.121 |   -0.1165 |  -0.04761 |
+#> |.....................|    0.3651 |    0.5835 |  -0.09604 |     1.373 |
+#> |.....................|   -0.4943 |    0.1086 |   -0.4551 |     1.395 |
+#> |.....................|   -0.3088 |    -1.502 |...........|...........|
+#> |   56|     479.58979 |     1.003 |    -1.200 |   -0.9263 |   -0.9359 |
+#> |.....................|    -1.024 |   -0.9910 |   -0.2442 |   -0.8708 |
+#> |.....................|   -0.7988 |    -1.063 |   -0.5665 |   -0.8506 |
+#> |.....................|    -1.066 |   -0.2341 |...........|...........|
+#> |    U|     479.58979 |     91.30 |    -5.400 |   -0.9042 |    -2.198 |
+#> |.....................|    -4.637 |    0.4100 |     1.092 |   0.05858 |
+#> |.....................|    0.7880 |    0.7319 |     1.539 |    0.9759 |
+#> |.....................|    0.6978 |     1.982 |...........|...........|
+#> |    X|     479.58979 |     91.30 |  0.004516 |    0.2882 |    0.1110 |
+#> |.....................|  0.009691 |    0.6011 |     1.092 |   0.05858 |
+#> |.....................|    0.7880 |    0.7319 |     1.539 |    0.9759 |
+#> |.....................|    0.6978 |     1.982 |...........|...........|
+#> |    F| Forward Diff. |     1.813 |     1.125 |  -0.03904 |  -0.05862 |
+#> |.....................|    0.3624 |    0.5728 | -0.008587 |     1.448 |
+#> |.....................|   -0.2657 |    0.1639 |    0.6610 |     2.108 |
+#> |.....................|    0.2622 |    -1.501 |...........|...........|
+#> |   57|     479.58727 |     1.003 |    -1.201 |   -0.9263 |   -0.9359 |
+#> |.....................|    -1.024 |   -0.9912 |   -0.2441 |   -0.8713 |
+#> |.....................|   -0.7987 |    -1.063 |   -0.5668 |   -0.8514 |
+#> |.....................|    -1.066 |   -0.2335 |...........|...........|
+#> |    U|     479.58727 |     91.24 |    -5.401 |   -0.9042 |    -2.198 |
+#> |.....................|    -4.637 |    0.4099 |     1.092 |   0.05856 |
+#> |.....................|    0.7881 |    0.7318 |     1.539 |    0.9751 |
+#> |.....................|    0.6978 |     1.983 |...........|...........|
+#> |    X|     479.58727 |     91.24 |  0.004513 |    0.2882 |    0.1110 |
+#> |.....................|  0.009690 |    0.6011 |     1.092 |   0.05856 |
+#> |.....................|    0.7881 |    0.7318 |     1.539 |    0.9751 |
+#> |.....................|    0.6978 |     1.983 |...........|...........|
+#> |    F| Forward Diff. |    -3.987 |     1.119 |   -0.1055 |  -0.04878 |
+#> |.....................|    0.3644 |    0.5797 |  -0.03160 |     1.359 |
+#> |.....................|   -0.4809 |   0.09403 |   -0.4184 |     1.337 |
+#> |.....................|   -0.2770 |    -1.489 |...........|...........|
+#> |   58|     479.58366 |     1.004 |    -1.201 |   -0.9263 |   -0.9359 |
+#> |.....................|    -1.024 |   -0.9915 |   -0.2438 |   -0.8717 |
+#> |.....................|   -0.7986 |    -1.063 |   -0.5667 |   -0.8517 |
+#> |.....................|    -1.066 |   -0.2327 |...........|...........|
+#> |    U|     479.58366 |     91.32 |    -5.401 |   -0.9041 |    -2.198 |
+#> |.....................|    -4.637 |    0.4098 |     1.092 |   0.05855 |
+#> |.....................|    0.7882 |    0.7317 |     1.539 |    0.9749 |
+#> |.....................|    0.6978 |     1.984 |...........|...........|
+#> |    X|     479.58366 |     91.32 |  0.004511 |    0.2882 |    0.1110 |
+#> |.....................|  0.009688 |    0.6010 |     1.092 |   0.05855 |
+#> |.....................|    0.7882 |    0.7317 |     1.539 |    0.9749 |
+#> |.....................|    0.6978 |     1.984 |...........|...........|
+#> |    F| Forward Diff. |     3.434 |     1.122 |  -0.01954 |  -0.06326 |
+#> |.....................|    0.3597 |    0.5645 |  -0.03484 |     1.404 |
+#> |.....................|   -0.4782 |    0.1697 |  -0.05991 |     1.573 |
+#> |.....................|    0.2504 |    -1.489 |...........|...........|
+#> |   59|     479.57994 |     1.003 |    -1.202 |   -0.9262 |   -0.9358 |
+#> |.....................|    -1.025 |   -0.9918 |   -0.2433 |   -0.8720 |
+#> |.....................|   -0.7984 |    -1.063 |   -0.5664 |   -0.8520 |
+#> |.....................|    -1.066 |   -0.2319 |...........|...........|
+#> |    U|     479.57994 |     91.26 |    -5.402 |   -0.9041 |    -2.198 |
+#> |.....................|    -4.637 |    0.4096 |     1.092 |   0.05854 |
+#> |.....................|    0.7884 |    0.7316 |     1.539 |    0.9746 |
+#> |.....................|    0.6977 |     1.985 |...........|...........|
+#> |    X|     479.57994 |     91.26 |  0.004508 |    0.2882 |    0.1110 |
+#> |.....................|  0.009686 |    0.6010 |     1.092 |   0.05854 |
+#> |.....................|    0.7884 |    0.7316 |     1.539 |    0.9746 |
+#> |.....................|    0.6977 |     1.985 |...........|...........|
+#> |    F| Forward Diff. |    -2.328 |     1.117 |  -0.07952 |  -0.05137 |
+#> |.....................|    0.3636 |    0.5738 |   0.02815 |     1.418 |
+#> |.....................|   -0.4669 |    0.1345 |    0.7258 |     2.078 |
+#> |.....................|    0.2949 |    -1.476 |...........|...........|
+#> |   60|     479.57683 |     1.004 |    -1.202 |   -0.9262 |   -0.9358 |
+#> |.....................|    -1.025 |   -0.9921 |   -0.2431 |   -0.8724 |
+#> |.....................|   -0.7982 |    -1.064 |   -0.5667 |   -0.8526 |
+#> |.....................|    -1.066 |   -0.2311 |...........|...........|
+#> |    U|     479.57683 |     91.32 |    -5.402 |   -0.9041 |    -2.198 |
+#> |.....................|    -4.637 |    0.4095 |     1.092 |   0.05853 |
+#> |.....................|    0.7885 |    0.7315 |     1.539 |    0.9740 |
+#> |.....................|    0.6976 |     1.986 |...........|...........|
+#> |    X|     479.57683 |     91.32 |  0.004505 |    0.2882 |    0.1110 |
+#> |.....................|  0.009684 |    0.6010 |     1.092 |   0.05853 |
+#> |.....................|    0.7885 |    0.7315 |     1.539 |    0.9740 |
+#> |.....................|    0.6976 |     1.986 |...........|...........|
+#> |    F| Forward Diff. |     3.369 |     1.121 |  -0.01236 |  -0.06033 |
+#> |.....................|    0.3618 |    0.5608 | -0.009614 |     1.424 |
+#> |.....................|   -0.4677 |    0.1416 |    0.6194 |     1.932 |
+#> |.....................|    0.2634 |    -1.483 |...........|...........|
+#> |   61|     479.57433 |     1.003 |    -1.203 |   -0.9262 |   -0.9358 |
+#> |.....................|    -1.025 |   -0.9924 |   -0.2429 |   -0.8728 |
+#> |.....................|   -0.7980 |    -1.064 |   -0.5671 |   -0.8530 |
+#> |.....................|    -1.066 |   -0.2304 |...........|...........|
+#> |    U|     479.57433 |     91.25 |    -5.403 |   -0.9041 |    -2.198 |
+#> |.....................|    -4.637 |    0.4094 |     1.092 |   0.05852 |
+#> |.....................|    0.7886 |    0.7315 |     1.539 |    0.9736 |
+#> |.....................|    0.6975 |     1.987 |...........|...........|
+#> |    X|     479.57433 |     91.25 |  0.004503 |    0.2882 |    0.1110 |
+#> |.....................|  0.009683 |    0.6009 |     1.092 |   0.05852 |
+#> |.....................|    0.7886 |    0.7315 |     1.539 |    0.9736 |
+#> |.....................|    0.6975 |     1.987 |...........|...........|
+#> |    F| Forward Diff. |    -3.507 |     1.111 |  -0.09183 |  -0.05192 |
+#> |.....................|    0.3614 |    0.5665 |  -0.03887 |     1.349 |
+#> |.....................|   -0.4753 |   0.07826 |    0.5528 |     1.905 |
+#> |.....................|    0.2844 |    -1.468 |...........|...........|
+#> |   62|     479.57116 |     1.003 |    -1.204 |   -0.9262 |   -0.9357 |
+#> |.....................|    -1.025 |   -0.9927 |   -0.2425 |   -0.8732 |
+#> |.....................|   -0.7978 |    -1.064 |   -0.5674 |   -0.8534 |
+#> |.....................|    -1.066 |   -0.2297 |...........|...........|
+#> |    U|     479.57116 |     91.32 |    -5.404 |   -0.9040 |    -2.198 |
+#> |.....................|    -4.638 |    0.4092 |     1.092 |   0.05851 |
+#> |.....................|    0.7888 |    0.7315 |     1.538 |    0.9732 |
+#> |.....................|    0.6973 |     1.988 |...........|...........|
+#> |    X|     479.57116 |     91.32 |  0.004500 |    0.2882 |    0.1110 |
+#> |.....................|  0.009681 |    0.6009 |     1.092 |   0.05851 |
+#> |.....................|    0.7888 |    0.7315 |     1.538 |    0.9732 |
+#> |.....................|    0.6973 |     1.988 |...........|...........|
+#> |    F| Forward Diff. |     2.953 |     1.117 |  -0.01332 |  -0.05913 |
+#> |.....................|    0.3618 |    0.5550 |  -0.01942 |     1.377 |
+#> |.....................|   -0.4588 |    0.1396 |    0.5378 |     1.901 |
+#> |.....................|    0.2564 |    -1.475 |...........|...........|
+#> |   63|     479.56857 |     1.003 |    -1.204 |   -0.9261 |   -0.9357 |
+#> |.....................|    -1.025 |   -0.9930 |   -0.2422 |   -0.8735 |
+#> |.....................|   -0.7976 |    -1.064 |   -0.5677 |   -0.8539 |
+#> |.....................|    -1.066 |   -0.2289 |...........|...........|
+#> |    U|     479.56857 |     91.25 |    -5.404 |   -0.9040 |    -2.198 |
+#> |.....................|    -4.638 |    0.4091 |     1.092 |   0.05850 |
+#> |.....................|    0.7889 |    0.7314 |     1.538 |    0.9728 |
+#> |.....................|    0.6972 |     1.989 |...........|...........|
+#> |    X|     479.56857 |     91.25 |  0.004497 |    0.2882 |    0.1110 |
+#> |.....................|  0.009679 |    0.6009 |     1.092 |   0.05850 |
+#> |.....................|    0.7889 |    0.7314 |     1.538 |    0.9728 |
+#> |.....................|    0.6972 |     1.989 |...........|...........|
+#> |    F| Forward Diff. |    -3.279 |     1.109 |  -0.08378 |  -0.05051 |
+#> |.....................|    0.3625 |    0.5609 |  -0.06234 |     1.320 |
+#> |.....................|   -0.5093 |   0.06989 |    -1.266 |     1.852 |
+#> |.....................|    0.2753 |    -1.463 |...........|...........|
+#> |   64|     479.56430 |     1.003 |    -1.205 |   -0.9261 |   -0.9357 |
+#> |.....................|    -1.026 |   -0.9933 |   -0.2419 |   -0.8738 |
+#> |.....................|   -0.7974 |    -1.064 |   -0.5672 |   -0.8543 |
+#> |.....................|    -1.067 |   -0.2281 |...........|...........|
+#> |    U|      479.5643 |     91.31 |    -5.405 |   -0.9040 |    -2.198 |
+#> |.....................|    -4.638 |    0.4090 |     1.093 |   0.05849 |
+#> |.....................|    0.7891 |    0.7314 |     1.538 |    0.9724 |
+#> |.....................|    0.6971 |     1.990 |...........|...........|
+#> |    X|      479.5643 |     91.31 |  0.004495 |    0.2882 |    0.1110 |
+#> |.....................|  0.009677 |    0.6008 |     1.093 |   0.05849 |
+#> |.....................|    0.7891 |    0.7314 |     1.538 |    0.9724 |
+#> |.....................|    0.6971 |     1.990 |...........|...........|
+#> |    F| Forward Diff. |     2.181 |     1.113 |  -0.01711 |  -0.05862 |
+#> |.....................|    0.3610 |    0.5490 |  -0.06295 |     1.399 |
+#> |.....................|   -0.4495 |    0.1474 |    0.6781 |     1.913 |
+#> |.....................|    0.2455 |    -1.468 |...........|...........|
+#> |   65|     479.56239 |     1.003 |    -1.205 |   -0.9261 |   -0.9356 |
+#> |.....................|    -1.026 |   -0.9935 |   -0.2417 |   -0.8744 |
+#> |.....................|   -0.7972 |    -1.064 |   -0.5674 |   -0.8549 |
+#> |.....................|    -1.067 |   -0.2275 |...........|...........|
+#> |    U|     479.56239 |     91.24 |    -5.405 |   -0.9040 |    -2.198 |
+#> |.....................|    -4.638 |    0.4089 |     1.093 |   0.05847 |
+#> |.....................|    0.7892 |    0.7313 |     1.538 |    0.9718 |
+#> |.....................|    0.6970 |     1.990 |...........|...........|
+#> |    X|     479.56239 |     91.24 |  0.004493 |    0.2882 |    0.1110 |
+#> |.....................|  0.009675 |    0.6008 |     1.093 |   0.05847 |
+#> |.....................|    0.7892 |    0.7313 |     1.538 |    0.9718 |
+#> |.....................|    0.6970 |     1.990 |...........|...........|
+#> |    F| Forward Diff. |    -4.516 |     1.106 |  -0.09308 |  -0.04714 |
+#> |.....................|    0.3636 |    0.5580 |  -0.04406 |     1.488 |
+#> |.....................|   -0.4662 |   0.05187 |    0.6104 |     1.787 |
+#> |.....................|    0.2769 |    -1.453 |...........|...........|
+#> |   66|     479.55877 |     1.003 |    -1.206 |   -0.9261 |   -0.9356 |
+#> |.....................|    -1.026 |   -0.9938 |   -0.2414 |   -0.8747 |
+#> |.....................|   -0.7970 |    -1.064 |   -0.5678 |   -0.8553 |
+#> |.....................|    -1.067 |   -0.2268 |...........|...........|
+#> |    U|     479.55877 |     91.31 |    -5.406 |   -0.9039 |    -2.198 |
+#> |.....................|    -4.638 |    0.4087 |     1.093 |   0.05846 |
+#> |.....................|    0.7894 |    0.7313 |     1.538 |    0.9714 |
+#> |.....................|    0.6969 |     1.991 |...........|...........|
+#> |    X|     479.55877 |     91.31 |  0.004490 |    0.2882 |    0.1110 |
+#> |.....................|  0.009674 |    0.6008 |     1.093 |   0.05846 |
+#> |.....................|    0.7894 |    0.7313 |     1.538 |    0.9714 |
+#> |.....................|    0.6969 |     1.991 |...........|...........|
+#> |    F| Forward Diff. |     2.254 |     1.111 |  -0.01255 |  -0.05783 |
+#> |.....................|    0.3613 |    0.5437 |  -0.01079 |     1.366 |
+#> |.....................|   -0.4954 |    0.1048 |    0.5565 |     1.745 |
+#> |.....................|    0.2417 |    -1.458 |...........|...........|
+#> |   67|     479.55696 |     1.003 |    -1.206 |   -0.9261 |   -0.9356 |
+#> |.....................|    -1.026 |   -0.9940 |   -0.2413 |   -0.8753 |
+#> |.....................|   -0.7968 |    -1.064 |   -0.5681 |   -0.8559 |
+#> |.....................|    -1.067 |   -0.2262 |...........|...........|
+#> |    U|     479.55696 |     91.24 |    -5.406 |   -0.9039 |    -2.198 |
+#> |.....................|    -4.639 |    0.4086 |     1.093 |   0.05845 |
+#> |.....................|    0.7895 |    0.7312 |     1.537 |    0.9708 |
+#> |.....................|    0.6968 |     1.992 |...........|...........|
+#> |    X|     479.55696 |     91.24 |  0.004488 |    0.2882 |    0.1110 |
+#> |.....................|  0.009672 |    0.6008 |     1.093 |   0.05845 |
+#> |.....................|    0.7895 |    0.7312 |     1.537 |    0.9708 |
+#> |.....................|    0.6968 |     1.992 |...........|...........|
+#> |    F| Forward Diff. |    -4.420 |     1.104 |  -0.08938 |  -0.04652 |
+#> |.....................|    0.3638 |    0.5524 |  -0.03600 |     1.474 |
+#> |.....................|   -0.4537 |   0.08714 |    0.5943 |     1.686 |
+#> |.....................|    0.2777 |    -1.443 |...........|...........|
+#> |   68|     479.55331 |     1.003 |    -1.207 |   -0.9260 |   -0.9356 |
+#> |.....................|    -1.026 |   -0.9943 |   -0.2409 |   -0.8756 |
+#> |.....................|   -0.7966 |    -1.064 |   -0.5684 |   -0.8562 |
+#> |.....................|    -1.067 |   -0.2254 |...........|...........|
+#> |    U|     479.55331 |     91.31 |    -5.407 |   -0.9039 |    -2.198 |
+#> |.....................|    -4.639 |    0.4085 |     1.093 |   0.05844 |
+#> |.....................|    0.7897 |    0.7312 |     1.537 |    0.9706 |
+#> |.....................|    0.6966 |     1.993 |...........|...........|
+#> |    X|     479.55331 |     91.31 |  0.004485 |    0.2882 |    0.1110 |
+#> |.....................|  0.009670 |    0.6007 |     1.093 |   0.05844 |
+#> |.....................|    0.7897 |    0.7312 |     1.537 |    0.9706 |
+#> |.....................|    0.6966 |     1.993 |...........|...........|
+#> |    F| Forward Diff. |     1.940 |     1.107 |  -0.01326 |  -0.05734 |
+#> |.....................|    0.3610 |    0.5380 |  -0.03050 |     1.334 |
+#> |.....................|   -0.4419 |   0.09953 |    0.4758 |     1.660 |
+#> |.....................|    0.2363 |    -1.448 |...........|...........|
+#> |   69|     479.55178 |     1.003 |    -1.208 |   -0.9260 |   -0.9355 |
+#> |.....................|    -1.026 |   -0.9945 |   -0.2409 |   -0.8762 |
+#> |.....................|   -0.7964 |    -1.064 |   -0.5686 |   -0.8569 |
+#> |.....................|    -1.067 |   -0.2248 |...........|...........|
+#> |    U|     479.55178 |     91.23 |    -5.408 |   -0.9039 |    -2.198 |
+#> |.....................|    -4.639 |    0.4084 |     1.093 |   0.05842 |
+#> |.....................|    0.7898 |    0.7311 |     1.537 |    0.9699 |
+#> |.....................|    0.6965 |     1.994 |...........|...........|
+#> |    X|     479.55178 |     91.23 |  0.004483 |    0.2882 |    0.1110 |
+#> |.....................|  0.009668 |    0.6007 |     1.093 |   0.05842 |
+#> |.....................|    0.7898 |    0.7311 |     1.537 |    0.9699 |
+#> |.....................|    0.6965 |     1.994 |...........|...........|
+#> |    F| Forward Diff. |    -4.846 |     1.100 |  -0.09130 |  -0.04553 |
+#> |.....................|    0.3638 |    0.5474 |  -0.02936 |     1.430 |
+#> |.....................|   -0.4494 |   0.05105 |    0.6245 |     1.611 |
+#> |.....................|    0.2724 |    -1.435 |...........|...........|
+#> |   70|     479.54790 |     1.003 |    -1.208 |   -0.9260 |   -0.9355 |
+#> |.....................|    -1.027 |   -0.9948 |   -0.2405 |   -0.8765 |
+#> |.....................|   -0.7962 |    -1.064 |   -0.5690 |   -0.8571 |
+#> |.....................|    -1.067 |   -0.2240 |...........|...........|
+#> |    U|      479.5479 |     91.30 |    -5.408 |   -0.9039 |    -2.198 |
+#> |.....................|    -4.639 |    0.4083 |     1.093 |   0.05841 |
+#> |.....................|    0.7899 |    0.7311 |     1.536 |    0.9697 |
+#> |.....................|    0.6964 |     1.995 |...........|...........|
+#> |    X|      479.5479 |     91.30 |  0.004480 |    0.2883 |    0.1110 |
+#> |.....................|  0.009667 |    0.6007 |     1.093 |   0.05841 |
+#> |.....................|    0.7899 |    0.7311 |     1.536 |    0.9697 |
+#> |.....................|    0.6964 |     1.995 |...........|...........|
+#> |    F| Forward Diff. |     1.570 |     1.104 |  -0.01594 |  -0.05674 |
+#> |.....................|    0.3607 |    0.5327 |  -0.02577 |     1.253 |
+#> |.....................|   -0.4401 |   0.07544 |   -0.5163 |    0.8741 |
+#> |.....................|   -0.3456 |    -1.445 |...........|...........|
+#> |   71|     479.54587 |     1.003 |    -1.209 |   -0.9260 |   -0.9355 |
+#> |.....................|    -1.027 |   -0.9951 |   -0.2405 |   -0.8771 |
+#> |.....................|   -0.7960 |    -1.064 |   -0.5687 |   -0.8576 |
+#> |.....................|    -1.067 |   -0.2233 |...........|...........|
+#> |    U|     479.54587 |     91.23 |    -5.409 |   -0.9039 |    -2.198 |
+#> |.....................|    -4.639 |    0.4081 |     1.093 |   0.05839 |
+#> |.....................|    0.7901 |    0.7310 |     1.537 |    0.9693 |
+#> |.....................|    0.6965 |     1.995 |...........|...........|
+#> |    X|     479.54587 |     91.23 |  0.004478 |    0.2883 |    0.1110 |
+#> |.....................|  0.009665 |    0.6006 |     1.093 |   0.05839 |
+#> |.....................|    0.7901 |    0.7310 |     1.537 |    0.9693 |
+#> |.....................|    0.6965 |     1.995 |...........|...........|
+#> |    F| Forward Diff. |    -4.902 |     1.097 |  -0.08880 |  -0.04568 |
+#> |.....................|    0.3633 |    0.5436 |  -0.03820 |     1.421 |
+#> |.....................|   -0.4438 |   0.04451 |    0.5507 |     1.558 |
+#> |.....................|    0.2862 |    -1.423 |...........|...........|
+#> |   72|     479.54157 |     1.003 |    -1.209 |   -0.9260 |   -0.9354 |
+#> |.....................|    -1.027 |   -0.9954 |   -0.2399 |   -0.8773 |
+#> |.....................|   -0.7958 |    -1.064 |   -0.5687 |   -0.8577 |
+#> |.....................|    -1.067 |   -0.2225 |...........|...........|
+#> |    U|     479.54157 |     91.30 |    -5.409 |   -0.9038 |    -2.198 |
+#> |.....................|    -4.639 |    0.4080 |     1.093 |   0.05839 |
+#> |.....................|    0.7902 |    0.7309 |     1.537 |    0.9691 |
+#> |.....................|    0.6965 |     1.996 |...........|...........|
+#> |    X|     479.54157 |     91.30 |  0.004475 |    0.2883 |    0.1110 |
+#> |.....................|  0.009663 |    0.6006 |     1.093 |   0.05839 |
+#> |.....................|    0.7902 |    0.7309 |     1.537 |    0.9691 |
+#> |.....................|    0.6965 |     1.996 |...........|...........|
+#> |    F| Forward Diff. |     1.063 |     1.100 |  -0.01768 |  -0.05631 |
+#> |.....................|    0.3603 |    0.5311 |  -0.05904 |     1.468 |
+#> |.....................|   -0.4400 |   0.06384 |    0.5216 |     1.564 |
+#> |.....................|    0.2548 |    -1.433 |...........|...........|
+#> |   73|     479.53906 |     1.003 |    -1.210 |   -0.9259 |   -0.9354 |
+#> |.....................|    -1.027 |   -0.9956 |   -0.2399 |   -0.8780 |
+#> |.....................|   -0.7956 |    -1.064 |   -0.5689 |   -0.8584 |
+#> |.....................|    -1.067 |   -0.2218 |...........|...........|
+#> |    U|     479.53906 |     91.25 |    -5.410 |   -0.9038 |    -2.198 |
+#> |.....................|    -4.640 |    0.4079 |     1.093 |   0.05837 |
+#> |.....................|    0.7904 |    0.7309 |     1.536 |    0.9684 |
+#> |.....................|    0.6964 |     1.997 |...........|...........|
+#> |    X|     479.53906 |     91.25 |  0.004472 |    0.2883 |    0.1110 |
+#> |.....................|  0.009661 |    0.6006 |     1.093 |   0.05837 |
+#> |.....................|    0.7904 |    0.7309 |     1.536 |    0.9684 |
+#> |.....................|    0.6964 |     1.997 |...........|...........|
+#> |    F| Forward Diff. |    -3.131 |     1.095 |  -0.06506 |  -0.04908 |
+#> |.....................|    0.3620 |    0.5356 | -0.007514 |     1.441 |
+#> |.....................|   -0.4274 |   0.08578 |   -0.3543 |    0.8441 |
+#> |.....................|   -0.2944 |    -1.418 |...........|...........|
+#> |   74|     479.53616 |     1.004 |    -1.210 |   -0.9259 |   -0.9354 |
+#> |.....................|    -1.027 |   -0.9959 |   -0.2396 |   -0.8785 |
+#> |.....................|   -0.7954 |    -1.064 |   -0.5688 |   -0.8586 |
+#> |.....................|    -1.067 |   -0.2210 |...........|...........|
+#> |    U|     479.53616 |     91.33 |    -5.410 |   -0.9038 |    -2.198 |
+#> |.....................|    -4.640 |    0.4077 |     1.094 |   0.05835 |
+#> |.....................|    0.7905 |    0.7308 |     1.537 |    0.9682 |
+#> |.....................|    0.6965 |     1.998 |...........|...........|
+#> |    X|     479.53616 |     91.33 |  0.004470 |    0.2883 |    0.1111 |
+#> |.....................|  0.009659 |    0.6005 |     1.094 |   0.05835 |
+#> |.....................|    0.7905 |    0.7308 |     1.537 |    0.9682 |
+#> |.....................|    0.6965 |     1.998 |...........|...........|
+#> |    F| Forward Diff. |     3.979 |     1.099 |   0.01619 |  -0.06233 |
+#> |.....................|    0.3580 |    0.5217 |  -0.09749 |     1.245 |
+#> |.....................|   -0.4289 |    0.1115 |   -0.5282 |    0.7580 |
+#> |.....................|   -0.3266 |    -1.417 |...........|...........|
+#> |   75|     479.53242 |     1.003 |    -1.211 |   -0.9259 |   -0.9353 |
+#> |.....................|    -1.028 |   -0.9962 |   -0.2391 |   -0.8787 |
+#> |.....................|   -0.7953 |    -1.065 |   -0.5685 |   -0.8588 |
+#> |.....................|    -1.067 |   -0.2202 |...........|...........|
+#> |    U|     479.53242 |     91.27 |    -5.411 |   -0.9038 |    -2.198 |
+#> |.....................|    -4.640 |    0.4076 |     1.094 |   0.05835 |
+#> |.....................|    0.7906 |    0.7307 |     1.537 |    0.9681 |
+#> |.....................|    0.6966 |     1.999 |...........|...........|
+#> |    X|     479.53242 |     91.27 |  0.004467 |    0.2883 |    0.1111 |
+#> |.....................|  0.009657 |    0.6005 |     1.094 |   0.05835 |
+#> |.....................|    0.7906 |    0.7307 |     1.537 |    0.9681 |
+#> |.....................|    0.6966 |     1.999 |...........|...........|
+#> |    F| Forward Diff. |    -1.679 |     1.093 |  -0.04308 |  -0.05224 |
+#> |.....................|    0.3605 |    0.5318 | -0.002555 |     1.446 |
+#> |.....................|   -0.4215 |   0.05786 |    0.6079 |     1.538 |
+#> |.....................|    0.2997 |    -1.401 |...........|...........|
+#> |   76|     479.52958 |     1.004 |    -1.212 |   -0.9259 |   -0.9353 |
+#> |.....................|    -1.028 |   -0.9965 |   -0.2388 |   -0.8793 |
+#> |.....................|   -0.7951 |    -1.065 |   -0.5686 |   -0.8593 |
+#> |.....................|    -1.067 |   -0.2194 |...........|...........|
+#> |    U|     479.52958 |     91.33 |    -5.412 |   -0.9038 |    -2.198 |
+#> |.....................|    -4.640 |    0.4075 |     1.094 |   0.05833 |
+#> |.....................|    0.7908 |    0.7306 |     1.537 |    0.9676 |
+#> |.....................|    0.6965 |     2.000 |...........|...........|
+#> |    X|     479.52958 |     91.33 |  0.004464 |    0.2883 |    0.1111 |
+#> |.....................|  0.009655 |    0.6005 |     1.094 |   0.05833 |
+#> |.....................|    0.7908 |    0.7306 |     1.537 |    0.9676 |
+#> |.....................|    0.6965 |     2.000 |...........|...........|
+#> |    F| Forward Diff. |     3.139 |     1.094 |   0.01046 |  -0.06226 |
+#> |.....................|    0.3570 |    0.5194 |  -0.09592 |     1.421 |
+#> |.....................|   -0.4323 |   0.06052 |   -0.5454 |    0.7071 |
+#> |.....................|   -0.2962 |    -1.410 |...........|...........|
+#> |   77|     479.52646 |     1.003 |    -1.212 |   -0.9259 |   -0.9353 |
+#> |.....................|    -1.028 |   -0.9968 |   -0.2384 |   -0.8797 |
+#> |.....................|   -0.7949 |    -1.065 |   -0.5684 |   -0.8594 |
+#> |.....................|    -1.067 |   -0.2186 |...........|...........|
+#> |    U|     479.52646 |     91.26 |    -5.412 |   -0.9038 |    -2.198 |
+#> |.....................|    -4.640 |    0.4073 |     1.094 |   0.05832 |
+#> |.....................|    0.7909 |    0.7304 |     1.537 |    0.9675 |
+#> |.....................|    0.6966 |     2.001 |...........|...........|
+#> |    X|     479.52646 |     91.26 |  0.004461 |    0.2883 |    0.1111 |
+#> |.....................|  0.009653 |    0.6005 |     1.094 |   0.05832 |
+#> |.....................|    0.7909 |    0.7304 |     1.537 |    0.9675 |
+#> |.....................|    0.6966 |     2.001 |...........|...........|
+#> |    F| Forward Diff. |    -2.758 |     1.088 |  -0.05217 |  -0.05158 |
+#> |.....................|    0.3593 |    0.5291 |  -0.05980 |     1.185 |
+#> |.....................|   -0.4227 |    -2.218 |   -0.3659 |    0.8223 |
+#> |.....................|   -0.2423 |    -1.392 |...........|...........|
+#> |   78|     479.52294 |     1.003 |    -1.213 |   -0.9258 |   -0.9352 |
+#> |.....................|    -1.028 |   -0.9971 |   -0.2379 |   -0.8800 |
+#> |.....................|   -0.7947 |    -1.064 |   -0.5681 |   -0.8596 |
+#> |.....................|    -1.067 |   -0.2178 |...........|...........|
+#> |    U|     479.52294 |     91.30 |    -5.413 |   -0.9037 |    -2.198 |
+#> |.....................|    -4.641 |    0.4072 |     1.094 |   0.05831 |
+#> |.....................|    0.7910 |    0.7311 |     1.537 |    0.9673 |
+#> |.....................|    0.6967 |     2.002 |...........|...........|
+#> |    X|     479.52294 |     91.30 |  0.004458 |    0.2883 |    0.1111 |
+#> |.....................|  0.009652 |    0.6004 |     1.094 |   0.05831 |
+#> |.....................|    0.7910 |    0.7311 |     1.537 |    0.9673 |
+#> |.....................|    0.6967 |     2.002 |...........|...........|
+#> |    F| Forward Diff. |    0.7571 |     1.091 |  -0.01328 |  -0.05733 |
+#> |.....................|    0.3573 |    0.5211 |  0.006105 |     1.423 |
+#> |.....................|   -0.4119 |    0.1268 |    0.6771 |     1.465 |
+#> |.....................|    0.3146 |    -1.386 |...........|...........|
+#> |   79|     479.52041 |     1.003 |    -1.213 |   -0.9258 |   -0.9352 |
+#> |.....................|    -1.028 |   -0.9973 |   -0.2380 |   -0.8807 |
+#> |.....................|   -0.7945 |    -1.064 |   -0.5684 |   -0.8604 |
+#> |.....................|    -1.067 |   -0.2172 |...........|...........|
+#> |    U|     479.52041 |     91.27 |    -5.413 |   -0.9037 |    -2.198 |
+#> |.....................|    -4.641 |    0.4071 |     1.094 |   0.05829 |
+#> |.....................|    0.7912 |    0.7311 |     1.537 |    0.9666 |
+#> |.....................|    0.6965 |     2.003 |...........|...........|
+#> |    X|     479.52041 |     91.27 |  0.004456 |    0.2883 |    0.1111 |
+#> |.....................|  0.009650 |    0.6004 |     1.094 |   0.05829 |
+#> |.....................|    0.7912 |    0.7311 |     1.537 |    0.9666 |
+#> |.....................|    0.6965 |     2.003 |...........|...........|
+#> |    F| Forward Diff. |    -2.400 |     1.087 |  -0.04852 |  -0.05189 |
+#> |.....................|    0.3585 |    0.5236 |  -0.05100 |     1.183 |
+#> |.....................|   -0.4319 |   0.01564 |    0.3566 |     1.324 |
+#> |.....................|    0.3221 |    -1.379 |...........|...........|
+#> |   80|     479.51911 |     1.004 |    -1.214 |   -0.9258 |   -0.9352 |
+#> |.....................|    -1.029 |   -0.9976 |   -0.2379 |   -0.8812 |
+#> |.....................|   -0.7944 |    -1.064 |   -0.5686 |   -0.8609 |
+#> |.....................|    -1.067 |   -0.2166 |...........|...........|
+#> |    U|     479.51911 |     91.35 |    -5.414 |   -0.9037 |    -2.198 |
+#> |.....................|    -4.641 |    0.4070 |     1.094 |   0.05828 |
+#> |.....................|    0.7913 |    0.7310 |     1.537 |    0.9661 |
+#> |.....................|    0.6964 |     2.004 |...........|...........|
+#> |    X|     479.51911 |     91.35 |  0.004454 |    0.2883 |    0.1111 |
+#> |.....................|  0.009648 |    0.6004 |     1.094 |   0.05828 |
+#> |.....................|    0.7913 |    0.7310 |     1.537 |    0.9661 |
+#> |.....................|    0.6964 |     2.004 |...........|...........|
+#> |    F| Forward Diff. |     5.458 |     1.092 |   0.04306 |  -0.06507 |
+#> |.....................|    0.3552 |    0.5068 |  -0.06807 |     1.418 |
+#> |.....................|   -0.4090 |    0.1358 |   -0.5109 |    0.5676 |
+#> |.....................|   -0.2804 |    -1.390 |...........|...........|
+#> |   81|     479.51487 |     1.003 |    -1.215 |   -0.9258 |   -0.9352 |
+#> |.....................|    -1.029 |   -0.9978 |   -0.2377 |   -0.8817 |
+#> |.....................|   -0.7942 |    -1.064 |   -0.5685 |   -0.8612 |
+#> |.....................|    -1.067 |   -0.2158 |...........|...........|
+#> |    U|     479.51487 |     91.27 |    -5.415 |   -0.9037 |    -2.198 |
+#> |.....................|    -4.641 |    0.4069 |     1.094 |   0.05826 |
+#> |.....................|    0.7914 |    0.7307 |     1.537 |    0.9658 |
+#> |.....................|    0.6963 |     2.005 |...........|...........|
+#> |    X|     479.51487 |     91.27 |  0.004451 |    0.2883 |    0.1111 |
+#> |.....................|  0.009647 |    0.6003 |     1.094 |   0.05826 |
+#> |.....................|    0.7914 |    0.7307 |     1.537 |    0.9658 |
+#> |.....................|    0.6963 |     2.005 |...........|...........|
+#> |    F| Forward Diff. |    -1.582 |     1.084 |  -0.03533 |  -0.05340 |
+#> |.....................|    0.3581 |    0.5175 |  -0.06480 |     1.157 |
+#> |.....................|   -0.4224 |   0.03489 |   -0.5536 |    0.6041 |
+#> |.....................|   -0.2386 |    -1.371 |...........|...........|
+#> |   82|     479.51208 |     1.004 |    -1.215 |   -0.9258 |   -0.9351 |
+#> |.....................|    -1.029 |   -0.9981 |   -0.2375 |   -0.8823 |
+#> |.....................|   -0.7939 |    -1.065 |   -0.5682 |   -0.8615 |
+#> |.....................|    -1.067 |   -0.2150 |...........|...........|
+#> |    U|     479.51208 |     91.34 |    -5.415 |   -0.9037 |    -2.197 |
+#> |.....................|    -4.641 |    0.4067 |     1.094 |   0.05824 |
+#> |.....................|    0.7916 |    0.7306 |     1.537 |    0.9655 |
+#> |.....................|    0.6964 |     2.006 |...........|...........|
+#> |    X|     479.51208 |     91.34 |  0.004449 |    0.2883 |    0.1111 |
+#> |.....................|  0.009645 |    0.6003 |     1.094 |   0.05824 |
+#> |.....................|    0.7916 |    0.7306 |     1.537 |    0.9655 |
+#> |.....................|    0.6964 |     2.006 |...........|...........|
+#> |    F| Forward Diff. |     3.943 |     1.087 |   0.02817 |  -0.06279 |
+#> |.....................|    0.3555 |    0.5065 |  -0.06060 |     1.305 |
+#> |.....................|   -0.4115 |   0.06912 |    0.4865 |     1.240 |
+#> |.....................|    0.2990 |    -1.371 |...........|...........|
+#> |   83|     479.50842 |     1.003 |    -1.216 |   -0.9258 |   -0.9351 |
+#> |.....................|    -1.029 |   -0.9984 |   -0.2372 |   -0.8827 |
+#> |.....................|   -0.7937 |    -1.065 |   -0.5683 |   -0.8618 |
+#> |.....................|    -1.067 |   -0.2141 |...........|...........|
+#> |    U|     479.50842 |     91.29 |    -5.416 |   -0.9037 |    -2.197 |
+#> |.....................|    -4.642 |    0.4066 |     1.095 |   0.05823 |
+#> |.....................|    0.7918 |    0.7302 |     1.537 |    0.9652 |
+#> |.....................|    0.6962 |     2.007 |...........|...........|
+#> |    X|     479.50842 |     91.29 |  0.004446 |    0.2883 |    0.1111 |
+#> |.....................|  0.009643 |    0.6003 |     1.095 |   0.05823 |
+#> |.....................|    0.7918 |    0.7302 |     1.537 |    0.9652 |
+#> |.....................|    0.6962 |     2.007 |...........|...........|
+#> |    F| Forward Diff. |   -0.7463 |     1.081 |  -0.02105 |  -0.05532 |
+#> |.....................|    0.3572 |    0.5118 |  -0.07839 |     1.134 |
+#> |.....................|   -0.4206 |   0.01709 |   -0.5616 |    0.5218 |
+#> |.....................|   -0.2429 |    -1.361 |...........|...........|
+#> |   84|     479.50515 |     1.004 |    -1.216 |   -0.9258 |   -0.9351 |
+#> |.....................|    -1.029 |   -0.9987 |   -0.2372 |   -0.8834 |
+#> |.....................|   -0.7935 |    -1.065 |   -0.5680 |   -0.8621 |
+#> |.....................|    -1.067 |   -0.2133 |...........|...........|
+#> |    U|     479.50515 |     91.33 |    -5.416 |   -0.9037 |    -2.197 |
+#> |.....................|    -4.642 |    0.4065 |     1.095 |   0.05821 |
+#> |.....................|    0.7919 |    0.7302 |     1.537 |    0.9649 |
+#> |.....................|    0.6964 |     2.008 |...........|...........|
+#> |    X|     479.50515 |     91.33 |  0.004443 |    0.2883 |    0.1111 |
+#> |.....................|  0.009641 |    0.6002 |     1.095 |   0.05821 |
+#> |.....................|    0.7919 |    0.7302 |     1.537 |    0.9649 |
+#> |.....................|    0.6964 |     2.008 |...........|...........|
+#> |   85|     479.49887 |     1.004 |    -1.219 |   -0.9257 |   -0.9350 |
+#> |.....................|    -1.030 |   -0.9997 |   -0.2363 |   -0.8851 |
+#> |.....................|   -0.7928 |    -1.066 |   -0.5675 |   -0.8630 |
+#> |.....................|    -1.067 |   -0.2104 |...........|...........|
+#> |    U|     479.49887 |     91.39 |    -5.419 |   -0.9037 |    -2.197 |
+#> |.....................|    -4.642 |    0.4060 |     1.095 |   0.05816 |
+#> |.....................|    0.7925 |    0.7293 |     1.538 |    0.9641 |
+#> |.....................|    0.6963 |     2.011 |...........|...........|
+#> |    X|     479.49887 |     91.39 |  0.004434 |    0.2883 |    0.1111 |
+#> |.....................|  0.009634 |    0.6001 |     1.095 |   0.05816 |
+#> |.....................|    0.7925 |    0.7293 |     1.538 |    0.9641 |
+#> |.....................|    0.6963 |     2.011 |...........|...........|
+#> |    F| Forward Diff. |     8.922 |     1.081 |    0.1004 |  -0.07252 |
+#> |.....................|    0.3520 |    0.4871 |    0.2543 |     1.578 |
+#> |.....................|   -0.3854 |   0.03465 |   -0.5794 |    0.4083 |
+#> |.....................|   -0.2550 |    -1.344 |...........|...........|
+#> |   86|     479.48147 |     1.003 |    -1.221 |   -0.9257 |   -0.9348 |
+#> |.....................|    -1.031 |    -1.001 |   -0.2344 |   -0.8861 |
+#> |.....................|   -0.7921 |    -1.067 |   -0.5658 |   -0.8636 |
+#> |.....................|    -1.067 |   -0.2068 |...........|...........|
+#> |    U|     479.48147 |     91.29 |    -5.421 |   -0.9036 |    -2.197 |
+#> |.....................|    -4.643 |    0.4054 |     1.096 |   0.05813 |
+#> |.....................|    0.7930 |    0.7283 |     1.540 |    0.9635 |
+#> |.....................|    0.6963 |     2.016 |...........|...........|
+#> |    X|     479.48147 |     91.29 |  0.004421 |    0.2883 |    0.1111 |
+#> |.....................|  0.009626 |    0.6000 |     1.096 |   0.05813 |
+#> |.....................|    0.7930 |    0.7283 |     1.540 |    0.9635 |
+#> |.....................|    0.6963 |     2.016 |...........|...........|
+#> |   87|     479.46291 |     1.003 |    -1.226 |   -0.9256 |   -0.9345 |
+#> |.....................|    -1.032 |    -1.003 |   -0.2312 |   -0.8874 |
+#> |.....................|   -0.7910 |    -1.069 |   -0.5631 |   -0.8644 |
+#> |.....................|    -1.067 |   -0.2012 |...........|...........|
+#> |    U|     479.46291 |     91.29 |    -5.426 |   -0.9035 |    -2.197 |
+#> |.....................|    -4.645 |    0.4045 |     1.097 |   0.05809 |
+#> |.....................|    0.7937 |    0.7267 |     1.543 |    0.9627 |
+#> |.....................|    0.6964 |     2.022 |...........|...........|
+#> |    X|     479.46291 |     91.29 |  0.004402 |    0.2883 |    0.1111 |
+#> |.....................|  0.009612 |    0.5998 |     1.097 |   0.05809 |
+#> |.....................|    0.7937 |    0.7267 |     1.543 |    0.9627 |
+#> |.....................|    0.6964 |     2.022 |...........|...........|
+#> |   88|     479.38653 |     1.003 |    -1.248 |   -0.9250 |   -0.9332 |
+#> |.....................|    -1.039 |    -1.013 |   -0.2154 |   -0.8940 |
+#> |.....................|   -0.7859 |    -1.078 |   -0.5497 |   -0.8687 |
+#> |.....................|    -1.067 |   -0.1734 |...........|...........|
+#> |    U|     479.38653 |     91.26 |    -5.448 |   -0.9030 |    -2.196 |
+#> |.....................|    -4.652 |    0.4000 |     1.104 |   0.05790 |
+#> |.....................|    0.7975 |    0.7188 |     1.559 |    0.9587 |
+#> |.....................|    0.6966 |     2.056 |...........|...........|
+#> |    X|     479.38653 |     91.26 |  0.004306 |    0.2884 |    0.1113 |
+#> |.....................|  0.009547 |    0.5987 |     1.104 |   0.05790 |
+#> |.....................|    0.7975 |    0.7188 |     1.559 |    0.9587 |
+#> |.....................|    0.6966 |     2.056 |...........|...........|
+#> |   89|     479.33405 |     1.002 |    -1.333 |   -0.9226 |   -0.9281 |
+#> |.....................|    -1.066 |    -1.051 |   -0.1533 |   -0.9198 |
+#> |.....................|   -0.7659 |    -1.112 |   -0.4971 |   -0.8853 |
+#> |.....................|    -1.066 |  -0.06439 |...........|...........|
+#> |    U|     479.33405 |     91.15 |    -5.533 |   -0.9008 |    -2.190 |
+#> |.....................|    -4.678 |    0.3823 |     1.129 |   0.05715 |
+#> |.....................|    0.8121 |    0.6876 |     1.621 |    0.9427 |
+#> |.....................|    0.6975 |     2.188 |...........|...........|
+#> |    X|     479.33405 |     91.15 |  0.003953 |    0.2889 |    0.1119 |
+#> |.....................|  0.009294 |    0.5944 |     1.129 |   0.05715 |
+#> |.....................|    0.8121 |    0.6876 |     1.621 |    0.9427 |
+#> |.....................|    0.6975 |     2.188 |...........|...........|
+#> |    F| Forward Diff. |    -22.35 |    0.8049 |    0.3265 |  -0.06456 |
+#> |.....................|    0.3038 |    0.2091 |     1.763 |     1.473 |
+#> |.....................|   -0.5535 |    -2.463 |     1.244 |   -0.6274 |
+#> |.....................|     1.702 |   -0.2760 |...........|...........|
+#> |   90|     479.70817 |     1.005 |    -1.492 |   -0.9504 |   -0.9122 |
+#> |.....................|    -1.121 |    -1.106 |   -0.1774 |   -0.9510 |
+#> |.....................|   -0.7305 |    -1.145 |   -0.4385 |   -0.8800 |
+#> |.....................|    -1.177 |  -0.01012 |...........|...........|
+#> |    U|     479.70817 |     91.47 |    -5.692 |   -0.9256 |    -2.175 |
+#> |.....................|    -4.734 |    0.3572 |     1.119 |   0.05625 |
+#> |.....................|    0.8380 |    0.6579 |     1.691 |    0.9478 |
+#> |.....................|    0.6020 |     2.254 |...........|...........|
+#> |    X|     479.70817 |     91.47 |  0.003371 |    0.2838 |    0.1137 |
+#> |.....................|  0.008794 |    0.5884 |     1.119 |   0.05625 |
+#> |.....................|    0.8380 |    0.6579 |     1.691 |    0.9478 |
+#> |.....................|    0.6020 |     2.254 |...........|...........|
+#> |   91|     479.27063 |     1.005 |    -1.375 |   -0.9298 |   -0.9240 |
+#> |.....................|    -1.080 |    -1.065 |   -0.1597 |   -0.9281 |
+#> |.....................|   -0.7567 |    -1.120 |   -0.4820 |   -0.8839 |
+#> |.....................|    -1.095 |  -0.05030 |...........|...........|
+#> |    U|     479.27063 |     91.42 |    -5.575 |   -0.9073 |    -2.186 |
+#> |.....................|    -4.693 |    0.3758 |     1.127 |   0.05692 |
+#> |.....................|    0.8189 |    0.6801 |     1.639 |    0.9441 |
+#> |.....................|    0.6726 |     2.206 |...........|...........|
+#> |    X|     479.27063 |     91.42 |  0.003793 |    0.2876 |    0.1123 |
+#> |.....................|  0.009162 |    0.5929 |     1.127 |   0.05692 |
+#> |.....................|    0.8189 |    0.6801 |     1.639 |    0.9441 |
+#> |.....................|    0.6726 |     2.206 |...........|...........|
+#> |    F| Forward Diff. |     2.862 |    0.7516 |    0.3576 |  -0.07893 |
+#> |.....................|    0.2806 |   -0.4298 |     1.369 |     1.213 |
+#> |.....................|   -0.5227 |    -2.562 |     2.801 |    -1.010 |
+#> |.....................|    -1.234 |   -0.5388 |...........|...........|
+#> |   92|     479.18239 |     1.005 |    -1.423 |   -0.9401 |   -0.9189 |
+#> |.....................|    -1.098 |    -1.064 |   -0.1729 |   -0.9195 |
+#> |.....................|   -0.7414 |    -1.117 |   -0.4967 |   -0.8806 |
+#> |.....................|    -1.083 |  -0.04375 |...........|...........|
+#> |    U|     479.18239 |     91.43 |    -5.623 |   -0.9165 |    -2.181 |
+#> |.....................|    -4.710 |    0.3764 |     1.121 |   0.05716 |
+#> |.....................|    0.8300 |    0.6834 |     1.622 |    0.9472 |
+#> |.....................|    0.6830 |     2.213 |...........|...........|
+#> |    X|     479.18239 |     91.43 |  0.003613 |    0.2857 |    0.1129 |
+#> |.....................|  0.009001 |    0.5930 |     1.121 |   0.05716 |
+#> |.....................|    0.8300 |    0.6834 |     1.622 |    0.9472 |
+#> |.....................|    0.6830 |     2.213 |...........|...........|
+#> |    F| Forward Diff. |     2.797 |    0.6564 |   -0.1913 |  -0.04289 |
+#> |.....................|    0.2359 |   -0.3012 |     1.209 |     1.124 |
+#> |.....................|   -0.4349 |    -2.322 |     2.160 |   -0.7215 |
+#> |.....................|   -0.1578 |   -0.4171 |...........|...........|
+#> |   93|     479.53483 |    0.9938 |    -1.508 |   -0.8927 |   -0.9141 |
+#> |.....................|    -1.127 |    -1.054 |   -0.1802 |   -0.9016 |
+#> |.....................|   -0.7110 |    -1.089 |   -0.5260 |   -0.8567 |
+#> |.....................|    -1.093 |  -0.01567 |...........|...........|
+#> |    U|     479.53483 |     90.44 |    -5.708 |   -0.8742 |    -2.177 |
+#> |.....................|    -4.740 |    0.3812 |     1.118 |   0.05768 |
+#> |.....................|    0.8523 |    0.7081 |     1.587 |    0.9700 |
+#> |.....................|    0.6741 |     2.248 |...........|...........|
+#> |    X|     479.53483 |     90.44 |  0.003320 |    0.2944 |    0.1134 |
+#> |.....................|  0.008741 |    0.5942 |     1.118 |   0.05768 |
+#> |.....................|    0.8523 |    0.7081 |     1.587 |    0.9700 |
+#> |.....................|    0.6741 |     2.248 |...........|...........|
+#> |   94|     479.57437 |    0.9943 |    -1.436 |   -0.9336 |   -0.9181 |
+#> |.....................|    -1.102 |    -1.062 |   -0.1777 |   -0.9209 |
+#> |.....................|   -0.7362 |    -1.106 |   -0.5073 |   -0.8753 |
+#> |.....................|    -1.084 |  -0.03890 |...........|...........|
+#> |    U|     479.57437 |     90.49 |    -5.636 |   -0.9106 |    -2.181 |
+#> |.....................|    -4.715 |    0.3775 |     1.119 |   0.05712 |
+#> |.....................|    0.8338 |    0.6933 |     1.609 |    0.9523 |
+#> |.....................|    0.6824 |     2.219 |...........|...........|
+#> |    X|     479.57437 |     90.49 |  0.003567 |    0.2869 |    0.1130 |
+#> |.....................|  0.008961 |    0.5933 |     1.119 |   0.05712 |
+#> |.....................|    0.8338 |    0.6933 |     1.609 |    0.9523 |
+#> |.....................|    0.6824 |     2.219 |...........|...........|
+#> |   95|     479.18328 |     1.003 |    -1.424 |   -0.9400 |   -0.9189 |
+#> |.....................|    -1.098 |    -1.064 |   -0.1736 |   -0.9201 |
+#> |.....................|   -0.7412 |    -1.115 |   -0.4980 |   -0.8802 |
+#> |.....................|    -1.083 |  -0.04351 |...........|...........|
+#> |    U|     479.18328 |     91.28 |    -5.624 |   -0.9164 |    -2.181 |
+#> |.....................|    -4.711 |    0.3765 |     1.121 |   0.05715 |
+#> |.....................|    0.8302 |    0.6847 |     1.620 |    0.9476 |
+#> |.....................|    0.6831 |     2.214 |...........|...........|
+#> |    X|     479.18328 |     91.28 |  0.003612 |    0.2857 |    0.1129 |
+#> |.....................|  0.009000 |    0.5930 |     1.121 |   0.05715 |
+#> |.....................|    0.8302 |    0.6847 |     1.620 |    0.9476 |
+#> |.....................|    0.6831 |     2.214 |...........|...........|
+#> |   96|     479.17990 |     1.004 |    -1.423 |   -0.9401 |   -0.9189 |
+#> |.....................|    -1.098 |    -1.064 |   -0.1732 |   -0.9198 |
+#> |.....................|   -0.7413 |    -1.116 |   -0.4973 |   -0.8805 |
+#> |.....................|    -1.083 |  -0.04364 |...........|...........|
+#> |    U|      479.1799 |     91.36 |    -5.623 |   -0.9164 |    -2.181 |
+#> |.....................|    -4.710 |    0.3764 |     1.121 |   0.05716 |
+#> |.....................|    0.8301 |    0.6840 |     1.621 |    0.9474 |
+#> |.....................|    0.6831 |     2.214 |...........|...........|
+#> |    X|      479.1799 |     91.36 |  0.003612 |    0.2857 |    0.1129 |
+#> |.....................|  0.009001 |    0.5930 |     1.121 |   0.05716 |
+#> |.....................|    0.8301 |    0.6840 |     1.621 |    0.9474 |
+#> |.....................|    0.6831 |     2.214 |...........|...........|
+#> |    F| Forward Diff. |    -3.933 |    0.6514 |   -0.2757 |  -0.03244 |
+#> |.....................|    0.2382 |   -0.2823 |     1.183 |     1.090 |
+#> |.....................|   -0.4397 |    -2.345 |     2.145 |   -0.7620 |
+#> |.....................|   -0.1240 |   -0.3947 |...........|...........|
+#> |   97|     479.17667 |     1.005 |    -1.424 |   -0.9399 |   -0.9189 |
+#> |.....................|    -1.098 |    -1.064 |   -0.1735 |   -0.9200 |
+#> |.....................|   -0.7411 |    -1.116 |   -0.4978 |   -0.8802 |
+#> |.....................|    -1.083 |  -0.04350 |...........|...........|
+#> |    U|     479.17667 |     91.44 |    -5.624 |   -0.9162 |    -2.181 |
+#> |.....................|    -4.711 |    0.3765 |     1.121 |   0.05715 |
+#> |.....................|    0.8302 |    0.6845 |     1.621 |    0.9476 |
+#> |.....................|    0.6831 |     2.214 |...........|...........|
+#> |    X|     479.17667 |     91.44 |  0.003611 |    0.2857 |    0.1129 |
+#> |.....................|  0.009000 |    0.5930 |     1.121 |   0.05715 |
+#> |.....................|    0.8302 |    0.6845 |     1.621 |    0.9476 |
+#> |.....................|    0.6831 |     2.214 |...........|...........|
+#> |    F| Forward Diff. |     3.521 |    0.6547 |   -0.1751 |  -0.04313 |
+#> |.....................|    0.2353 |   -0.2995 |     1.118 |     1.121 |
+#> |.....................|   -0.4506 |    -2.323 |     2.084 |   -0.7259 |
+#> |.....................|   -0.1653 |   -0.4503 |...........|...........|
+#> |   98|     479.17418 |     1.004 |    -1.424 |   -0.9398 |   -0.9188 |
+#> |.....................|    -1.098 |    -1.064 |   -0.1738 |   -0.9202 |
+#> |.....................|   -0.7410 |    -1.115 |   -0.4983 |   -0.8800 |
+#> |.....................|    -1.083 |  -0.04335 |...........|...........|
+#> |    U|     479.17418 |     91.36 |    -5.624 |   -0.9161 |    -2.181 |
+#> |.....................|    -4.711 |    0.3765 |     1.121 |   0.05714 |
+#> |.....................|    0.8303 |    0.6850 |     1.620 |    0.9478 |
+#> |.....................|    0.6831 |     2.214 |...........|...........|
+#> |    X|     479.17418 |     91.36 |  0.003610 |    0.2857 |    0.1129 |
+#> |.....................|  0.008999 |    0.5930 |     1.121 |   0.05714 |
+#> |.....................|    0.8303 |    0.6850 |     1.620 |    0.9478 |
+#> |.....................|    0.6831 |     2.214 |...........|...........|
+#> |    F| Forward Diff. |    -3.859 |    0.6491 |   -0.2708 |  -0.03145 |
+#> |.....................|    0.2380 |   -0.2786 |     1.113 |     1.074 |
+#> |.....................|   -0.4387 |    -2.285 |     2.045 |   -0.7498 |
+#> |.....................|   -0.1354 |   -0.4011 |...........|...........|
+#> |   99|     479.17107 |     1.005 |    -1.424 |   -0.9396 |   -0.9188 |
+#> |.....................|    -1.098 |    -1.064 |   -0.1740 |   -0.9204 |
+#> |.....................|   -0.7408 |    -1.114 |   -0.4988 |   -0.8798 |
+#> |.....................|    -1.083 |  -0.04320 |...........|...........|
+#> |    U|     479.17107 |     91.44 |    -5.624 |   -0.9160 |    -2.181 |
+#> |.....................|    -4.711 |    0.3766 |     1.121 |   0.05714 |
+#> |.....................|    0.8305 |    0.6855 |     1.619 |    0.9480 |
+#> |.....................|    0.6831 |     2.214 |...........|...........|
+#> |    X|     479.17107 |     91.44 |  0.003609 |    0.2858 |    0.1129 |
+#> |.....................|  0.008997 |    0.5930 |     1.121 |   0.05714 |
+#> |.....................|    0.8305 |    0.6855 |     1.619 |    0.9480 |
+#> |.....................|    0.6831 |     2.214 |...........|...........|
+#> |    F| Forward Diff. |     3.569 |    0.6522 |   -0.1642 |  -0.04243 |
+#> |.....................|    0.2349 |   -0.2958 |     1.101 |     1.106 |
+#> |.....................|   -0.4222 |    -2.201 |     1.058 |   -0.2096 |
+#> |.....................|    0.2358 |   -0.4015 |...........|...........|
+#> |  100|     479.16873 |     1.004 |    -1.425 |   -0.9393 |   -0.9188 |
+#> |.....................|    -1.099 |    -1.064 |   -0.1743 |   -0.9206 |
+#> |.....................|   -0.7406 |    -1.114 |   -0.4991 |   -0.8797 |
+#> |.....................|    -1.083 |  -0.04303 |...........|...........|
+#> |    U|     479.16873 |     91.36 |    -5.625 |   -0.9158 |    -2.181 |
+#> |.....................|    -4.711 |    0.3766 |     1.121 |   0.05713 |
+#> |.....................|    0.8306 |    0.6860 |     1.619 |    0.9481 |
+#> |.....................|    0.6830 |     2.214 |...........|...........|
+#> |    X|     479.16873 |     91.36 |  0.003607 |    0.2858 |    0.1129 |
+#> |.....................|  0.008996 |    0.5931 |     1.121 |   0.05713 |
+#> |.....................|    0.8306 |    0.6860 |     1.619 |    0.9481 |
+#> |.....................|    0.6830 |     2.214 |...........|...........|
+#> |    F| Forward Diff. |    -3.833 |    0.6464 |   -0.2551 |  -0.03020 |
+#> |.....................|    0.2388 |   -0.2745 |     1.092 |     1.036 |
+#> |.....................|   -0.4378 |    -2.238 |     1.100 |   -0.2036 |
+#> |.....................|    0.2823 |   -0.3907 |...........|...........|
+#> |  101|     479.16547 |     1.005 |    -1.426 |   -0.9390 |   -0.9187 |
+#> |.....................|    -1.099 |    -1.063 |   -0.1745 |   -0.9206 |
+#> |.....................|   -0.7403 |    -1.113 |   -0.4993 |   -0.8795 |
+#> |.....................|    -1.083 |  -0.04283 |...........|...........|
+#> |    U|     479.16547 |     91.42 |    -5.626 |   -0.9155 |    -2.181 |
+#> |.....................|    -4.711 |    0.3767 |     1.121 |   0.05713 |
+#> |.....................|    0.8308 |    0.6865 |     1.619 |    0.9483 |
+#> |.....................|    0.6830 |     2.215 |...........|...........|
+#> |    X|     479.16547 |     91.42 |  0.003605 |    0.2859 |    0.1129 |
+#> |.....................|  0.008994 |    0.5931 |     1.121 |   0.05713 |
+#> |.....................|    0.8308 |    0.6865 |     1.619 |    0.9483 |
+#> |.....................|    0.6830 |     2.215 |...........|...........|
+#> |    F| Forward Diff. |     2.367 |    0.6482 |   -0.1602 |  -0.03907 |
+#> |.....................|    0.2347 |   -0.2874 |     1.147 |     1.057 |
+#> |.....................|   -0.4142 |    -2.141 |     1.081 |   -0.1748 |
+#> |.....................|    0.2414 |   -0.4049 |...........|...........|
+#> |  102|     479.16316 |     1.004 |    -1.426 |   -0.9389 |   -0.9187 |
+#> |.....................|    -1.099 |    -1.063 |   -0.1748 |   -0.9208 |
+#> |.....................|   -0.7401 |    -1.113 |   -0.4996 |   -0.8794 |
+#> |.....................|    -1.083 |  -0.04264 |...........|...........|
+#> |    U|     479.16316 |     91.36 |    -5.626 |   -0.9154 |    -2.181 |
+#> |.....................|    -4.711 |    0.3768 |     1.120 |   0.05713 |
+#> |.....................|    0.8310 |    0.6872 |     1.618 |    0.9484 |
+#> |.....................|    0.6829 |     2.215 |...........|...........|
+#> |    X|     479.16316 |     91.36 |  0.003603 |    0.2859 |    0.1129 |
+#> |.....................|  0.008992 |    0.5931 |     1.120 |   0.05713 |
+#> |.....................|    0.8310 |    0.6872 |     1.618 |    0.9484 |
+#> |.....................|    0.6829 |     2.215 |...........|...........|
+#> |    F| Forward Diff. |    -3.810 |    0.6431 |   -0.2376 |  -0.02872 |
+#> |.....................|    0.2384 |   -0.2689 |     1.073 |     1.021 |
+#> |.....................|   -0.4195 |    -2.179 |     2.025 |   -0.6985 |
+#> |.....................|   -0.1403 |   -0.3873 |...........|...........|
+#> |  103|     479.15976 |     1.005 |    -1.427 |   -0.9385 |   -0.9187 |
+#> |.....................|    -1.099 |    -1.063 |   -0.1751 |   -0.9208 |
+#> |.....................|   -0.7399 |    -1.112 |   -0.5000 |   -0.8792 |
+#> |.....................|    -1.083 |  -0.04242 |...........|...........|
+#> |    U|     479.15976 |     91.41 |    -5.627 |   -0.9150 |    -2.181 |
+#> |.....................|    -4.712 |    0.3768 |     1.120 |   0.05713 |
+#> |.....................|    0.8311 |    0.6876 |     1.618 |    0.9486 |
+#> |.....................|    0.6829 |     2.215 |...........|...........|
+#> |    X|     479.15976 |     91.41 |  0.003601 |    0.2860 |    0.1129 |
+#> |.....................|  0.008990 |    0.5931 |     1.120 |   0.05713 |
+#> |.....................|    0.8311 |    0.6876 |     1.618 |    0.9486 |
+#> |.....................|    0.6829 |     2.215 |...........|...........|
+#> |    F| Forward Diff. |     1.385 |    0.6444 |   -0.1513 |  -0.03575 |
+#> |.....................|    0.2363 |   -0.2788 |     1.057 |     1.037 |
+#> |.....................|   -0.4304 |    -2.135 |     1.940 |   -0.6607 |
+#> |.....................|   -0.1552 |   -0.4034 |...........|...........|
+#> |  104|     479.15697 |     1.004 |    -1.427 |   -0.9385 |   -0.9187 |
+#> |.....................|    -1.099 |    -1.063 |   -0.1754 |   -0.9212 |
+#> |.....................|   -0.7397 |    -1.111 |   -0.5007 |   -0.8790 |
+#> |.....................|    -1.083 |  -0.04228 |...........|...........|
+#> |    U|     479.15697 |     91.37 |    -5.627 |   -0.9150 |    -2.181 |
+#> |.....................|    -4.712 |    0.3769 |     1.120 |   0.05712 |
+#> |.....................|    0.8312 |    0.6883 |     1.617 |    0.9488 |
+#> |.....................|    0.6829 |     2.215 |...........|...........|
+#> |    X|     479.15697 |     91.37 |  0.003600 |    0.2860 |    0.1129 |
+#> |.....................|  0.008990 |    0.5931 |     1.120 |   0.05712 |
+#> |.....................|    0.8312 |    0.6883 |     1.617 |    0.9488 |
+#> |.....................|    0.6829 |     2.215 |...........|...........|
+#> |    F| Forward Diff. |    -2.828 |    0.6406 |   -0.2090 |  -0.02895 |
+#> |.....................|    0.2376 |   -0.2659 |     1.059 |    0.9695 |
+#> |.....................|   -0.4112 |    -2.078 |     1.041 |   -0.1304 |
+#> |.....................|    0.2608 |   -0.3859 |...........|...........|
+#> |  105|     479.15524 |     1.005 |    -1.427 |   -0.9384 |   -0.9187 |
+#> |.....................|    -1.099 |    -1.063 |   -0.1758 |   -0.9215 |
+#> |.....................|   -0.7396 |    -1.111 |   -0.5010 |   -0.8789 |
+#> |.....................|    -1.083 |  -0.04216 |...........|...........|
+#> |    U|     479.15524 |     91.45 |    -5.627 |   -0.9149 |    -2.181 |
+#> |.....................|    -4.712 |    0.3769 |     1.120 |   0.05711 |
+#> |.....................|    0.8313 |    0.6888 |     1.617 |    0.9489 |
+#> |.....................|    0.6828 |     2.215 |...........|...........|
+#> |    X|     479.15524 |     91.45 |  0.003599 |    0.2860 |    0.1129 |
+#> |.....................|  0.008989 |    0.5931 |     1.120 |   0.05711 |
+#> |.....................|    0.8313 |    0.6888 |     1.617 |    0.9489 |
+#> |.....................|    0.6828 |     2.215 |...........|...........|
+#> |    F| Forward Diff. |     5.191 |    0.6447 |   -0.1017 |  -0.04048 |
+#> |.....................|    0.2348 |   -0.2858 |     1.095 |     1.009 |
+#> |.....................|   -0.3975 |    -1.983 |     1.956 |   -0.5702 |
+#> |.....................|   -0.1591 |   -0.3996 |...........|...........|
+#> |  106|     479.15192 |     1.004 |    -1.428 |   -0.9381 |   -0.9186 |
+#> |.....................|    -1.100 |    -1.063 |   -0.1760 |   -0.9214 |
+#> |.....................|   -0.7393 |    -1.110 |   -0.5013 |   -0.8787 |
+#> |.....................|    -1.083 |  -0.04194 |...........|...........|
+#> |    U|     479.15192 |     91.38 |    -5.628 |   -0.9146 |    -2.181 |
+#> |.....................|    -4.712 |    0.3770 |     1.120 |   0.05711 |
+#> |.....................|    0.8315 |    0.6892 |     1.616 |    0.9490 |
+#> |.....................|    0.6828 |     2.216 |...........|...........|
+#> |    X|     479.15192 |     91.38 |  0.003597 |    0.2861 |    0.1129 |
+#> |.....................|  0.008987 |    0.5932 |     1.120 |   0.05711 |
+#> |.....................|    0.8315 |    0.6892 |     1.616 |    0.9490 |
+#> |.....................|    0.6828 |     2.216 |...........|...........|
+#> |    F| Forward Diff. |    -1.012 |    0.6390 |   -0.1711 |  -0.03027 |
+#> |.....................|    0.2366 |   -0.2653 |     1.098 |    0.9640 |
+#> |.....................|   -0.4101 |    -2.024 |    0.9749 |   -0.1142 |
+#> |.....................|    0.2645 |   -0.3871 |...........|...........|
+#> |  107|     479.14897 |     1.005 |    -1.428 |   -0.9380 |   -0.9186 |
+#> |.....................|    -1.100 |    -1.063 |   -0.1764 |   -0.9218 |
+#> |.....................|   -0.7392 |    -1.110 |   -0.5017 |   -0.8787 |
+#> |.....................|    -1.083 |  -0.04178 |...........|...........|
+#> |    U|     479.14897 |     91.42 |    -5.628 |   -0.9146 |    -2.181 |
+#> |.....................|    -4.712 |    0.3771 |     1.120 |   0.05710 |
+#> |.....................|    0.8317 |    0.6900 |     1.616 |    0.9491 |
+#> |.....................|    0.6827 |     2.216 |...........|...........|
+#> |    X|     479.14897 |     91.42 |  0.003596 |    0.2861 |    0.1129 |
+#> |.....................|  0.008986 |    0.5932 |     1.120 |   0.05710 |
+#> |.....................|    0.8317 |    0.6900 |     1.616 |    0.9491 |
+#> |.....................|    0.6827 |     2.216 |...........|...........|
+#> |  108|     479.14773 |     1.005 |    -1.428 |   -0.9379 |   -0.9186 |
+#> |.....................|    -1.100 |    -1.062 |   -0.1770 |   -0.9223 |
+#> |.....................|   -0.7390 |    -1.109 |   -0.5022 |   -0.8786 |
+#> |.....................|    -1.083 |  -0.04159 |...........|...........|
+#> |    U|     479.14773 |     91.47 |    -5.628 |   -0.9145 |    -2.181 |
+#> |.....................|    -4.712 |    0.3771 |     1.120 |   0.05708 |
+#> |.....................|    0.8318 |    0.6909 |     1.615 |    0.9491 |
+#> |.....................|    0.6826 |     2.216 |...........|...........|
+#> |    X|     479.14773 |     91.47 |  0.003595 |    0.2861 |    0.1129 |
+#> |.....................|  0.008985 |    0.5932 |     1.120 |   0.05708 |
+#> |.....................|    0.8318 |    0.6909 |     1.615 |    0.9491 |
+#> |.....................|    0.6826 |     2.216 |...........|...........|
+#> |    F| Forward Diff. |     7.333 |    0.6414 |  -0.06030 |  -0.04156 |
+#> |.....................|    0.2338 |   -0.2836 |     1.014 |     1.002 |
+#> |.....................|   -0.3897 |    -1.922 |    0.8816 |   -0.1288 |
+#> |.....................|    0.1940 |   -0.4011 |...........|...........|
+#> |  109|     479.14119 |     1.004 |    -1.430 |   -0.9374 |   -0.9185 |
+#> |.....................|    -1.100 |    -1.062 |   -0.1775 |   -0.9218 |
+#> |.....................|   -0.7383 |    -1.108 |   -0.5019 |   -0.8783 |
+#> |.....................|    -1.083 |  -0.04112 |...........|...........|
+#> |    U|     479.14119 |     91.39 |    -5.630 |   -0.9140 |    -2.181 |
+#> |.....................|    -4.713 |    0.3774 |     1.119 |   0.05710 |
+#> |.....................|    0.8323 |    0.6917 |     1.616 |    0.9495 |
+#> |.....................|    0.6826 |     2.217 |...........|...........|
+#> |    X|     479.14119 |     91.39 |  0.003588 |    0.2862 |    0.1129 |
+#> |.....................|  0.008979 |    0.5933 |     1.119 |   0.05710 |
+#> |.....................|    0.8323 |    0.6917 |     1.616 |    0.9495 |
+#> |.....................|    0.6826 |     2.217 |...........|...........|
+#> |    F| Forward Diff. |   -0.4299 |    0.6321 |   -0.1435 |  -0.02760 |
+#> |.....................|    0.2360 |   -0.2479 |     1.019 |    0.9518 |
+#> |.....................|   -0.3967 |    -1.860 |     1.900 |   -0.5922 |
+#> |.....................|   -0.1599 |   -0.3806 |...........|...........|
+#> |  110|     479.13501 |     1.005 |    -1.431 |   -0.9373 |   -0.9185 |
+#> |.....................|    -1.101 |    -1.062 |   -0.1783 |   -0.9226 |
+#> |.....................|   -0.7379 |    -1.106 |   -0.5035 |   -0.8778 |
+#> |.....................|    -1.083 |  -0.04080 |...........|...........|
+#> |    U|     479.13501 |     91.42 |    -5.631 |   -0.9139 |    -2.181 |
+#> |.....................|    -4.713 |    0.3775 |     1.119 |   0.05707 |
+#> |.....................|    0.8326 |    0.6932 |     1.614 |    0.9500 |
+#> |.....................|    0.6827 |     2.217 |...........|...........|
+#> |    X|     479.13501 |     91.42 |  0.003586 |    0.2862 |    0.1129 |
+#> |.....................|  0.008977 |    0.5933 |     1.119 |   0.05707 |
+#> |.....................|    0.8326 |    0.6932 |     1.614 |    0.9500 |
+#> |.....................|    0.6827 |     2.217 |...........|...........|
+#> |    F| Forward Diff. |     2.960 |    0.6324 |   -0.1010 |  -0.03176 |
+#> |.....................|    0.2344 |   -0.2516 |    0.9454 |    0.8792 |
+#> |.....................|   -0.3822 |    -1.742 |    0.9146 |  -0.04263 |
+#> |.....................|    0.2425 |   -0.3771 |...........|...........|
+#> |  111|     479.13244 |     1.004 |    -1.432 |   -0.9368 |   -0.9184 |
+#> |.....................|    -1.101 |    -1.061 |   -0.1790 |   -0.9224 |
+#> |.....................|   -0.7372 |    -1.105 |   -0.5036 |   -0.8775 |
+#> |.....................|    -1.083 |  -0.04025 |...........|...........|
+#> |    U|     479.13244 |     91.33 |    -5.632 |   -0.9135 |    -2.181 |
+#> |.....................|    -4.714 |    0.3778 |     1.119 |   0.05708 |
+#> |.....................|    0.8331 |    0.6941 |     1.614 |    0.9502 |
+#> |.....................|    0.6825 |     2.218 |...........|...........|
+#> |    X|     479.13244 |     91.33 |  0.003580 |    0.2863 |    0.1130 |
+#> |.....................|  0.008971 |    0.5933 |     1.119 |   0.05708 |
+#> |.....................|    0.8331 |    0.6941 |     1.614 |    0.9502 |
+#> |.....................|    0.6825 |     2.218 |...........|...........|
+#> |    F| Forward Diff. |    -5.808 |    0.6219 |   -0.1958 |  -0.01683 |
+#> |.....................|    0.2369 |   -0.2179 |    0.9347 |    0.8364 |
+#> |.....................|   -0.3987 |    -1.797 |    0.8150 |  -0.05765 |
+#> |.....................|    0.2618 |   -0.3704 |...........|...........|
+#> |  112|     479.12666 |     1.004 |    -1.434 |   -0.9365 |   -0.9183 |
+#> |.....................|    -1.102 |    -1.060 |   -0.1796 |   -0.9220 |
+#> |.....................|   -0.7365 |    -1.104 |   -0.5033 |   -0.8772 |
+#> |.....................|    -1.083 |  -0.03975 |...........|...........|
+#> |    U|     479.12666 |     91.40 |    -5.634 |   -0.9132 |    -2.181 |
+#> |.....................|    -4.714 |    0.3782 |     1.118 |   0.05709 |
+#> |.....................|    0.8336 |    0.6951 |     1.614 |    0.9505 |
+#> |.....................|    0.6824 |     2.218 |...........|...........|
+#> |    X|     479.12666 |     91.40 |  0.003574 |    0.2863 |    0.1130 |
+#> |.....................|  0.008965 |    0.5934 |     1.118 |   0.05709 |
+#> |.....................|    0.8336 |    0.6951 |     1.614 |    0.9505 |
+#> |.....................|    0.6824 |     2.218 |...........|...........|
+#> |    F| Forward Diff. |    0.9955 |    0.6218 |  -0.09617 |  -0.02448 |
+#> |.....................|    0.2342 |   -0.2176 |    0.9924 |    0.8560 |
+#> |.....................|   -0.3772 |    -1.645 |     1.883 |   -0.4422 |
+#> |.....................|   -0.1320 |   -0.3750 |...........|...........|
+#> |  113|     479.12255 |     1.004 |    -1.436 |   -0.9361 |   -0.9182 |
+#> |.....................|    -1.103 |    -1.060 |   -0.1805 |   -0.9221 |
+#> |.....................|   -0.7358 |    -1.103 |   -0.5043 |   -0.8768 |
+#> |.....................|    -1.083 |  -0.03920 |...........|...........|
+#> |    U|     479.12255 |     91.34 |    -5.636 |   -0.9129 |    -2.181 |
+#> |.....................|    -4.715 |    0.3784 |     1.118 |   0.05709 |
+#> |.....................|    0.8341 |    0.6962 |     1.613 |    0.9509 |
+#> |.....................|    0.6824 |     2.219 |...........|...........|
+#> |    X|     479.12255 |     91.34 |  0.003569 |    0.2864 |    0.1130 |
+#> |.....................|  0.008960 |    0.5935 |     1.118 |   0.05709 |
+#> |.....................|    0.8341 |    0.6962 |     1.613 |    0.9509 |
+#> |.....................|    0.6824 |     2.219 |...........|...........|
+#> |    F| Forward Diff. |    -4.522 |    0.6133 |   -0.1571 |  -0.01492 |
+#> |.....................|    0.2353 |   -0.1923 |    0.9045 |    0.7846 |
+#> |.....................|   -0.3572 |    -1.629 |    0.8508 |   0.03564 |
+#> |.....................|    0.2811 |   -0.3561 |...........|...........|
+#> |  114|     479.11855 |     1.005 |    -1.437 |   -0.9356 |   -0.9182 |
+#> |.....................|    -1.103 |    -1.059 |   -0.1812 |   -0.9217 |
+#> |.....................|   -0.7351 |    -1.102 |   -0.5043 |   -0.8766 |
+#> |.....................|    -1.084 |  -0.03859 |...........|...........|
+#> |    U|     479.11855 |     91.41 |    -5.637 |   -0.9124 |    -2.181 |
+#> |.....................|    -4.716 |    0.3787 |     1.118 |   0.05710 |
+#> |.....................|    0.8346 |    0.6968 |     1.613 |    0.9510 |
+#> |.....................|    0.6823 |     2.220 |...........|...........|
+#> |    X|     479.11855 |     91.41 |  0.003562 |    0.2865 |    0.1130 |
+#> |.....................|  0.008953 |    0.5936 |     1.118 |   0.05710 |
+#> |.....................|    0.8346 |    0.6968 |     1.613 |    0.9510 |
+#> |.....................|    0.6823 |     2.220 |...........|...........|
+#> |    F| Forward Diff. |     2.813 |    0.6131 |  -0.03713 |  -0.02450 |
+#> |.....................|    0.2319 |   -0.1976 |    0.8863 |    0.8390 |
+#> |.....................|   -0.3589 |    -1.516 |    0.8806 |   -0.4426 |
+#> |.....................|   -0.1647 |   -0.3784 |...........|...........|
+#> |  115|     479.11487 |     1.004 |    -1.439 |   -0.9352 |   -0.9181 |
+#> |.....................|    -1.104 |    -1.058 |   -0.1819 |   -0.9213 |
+#> |.....................|   -0.7344 |    -1.101 |   -0.5040 |   -0.8763 |
+#> |.....................|    -1.084 |  -0.03810 |...........|...........|
+#> |    U|     479.11487 |     91.37 |    -5.639 |   -0.9121 |    -2.180 |
+#> |.....................|    -4.716 |    0.3790 |     1.117 |   0.05711 |
+#> |.....................|    0.8352 |    0.6977 |     1.613 |    0.9514 |
+#> |.....................|    0.6823 |     2.220 |...........|...........|
+#> |    X|     479.11487 |     91.37 |  0.003555 |    0.2866 |    0.1130 |
+#> |.....................|  0.008947 |    0.5936 |     1.117 |   0.05711 |
+#> |.....................|    0.8352 |    0.6977 |     1.613 |    0.9514 |
+#> |.....................|    0.6823 |     2.220 |...........|...........|
+#> |    F| Forward Diff. |    -1.684 |    0.6054 |  -0.08346 |  -0.01559 |
+#> |.....................|    0.2328 |   -0.1708 |    0.9518 |    0.8099 |
+#> |.....................|   -0.3621 |    -1.485 |    0.9267 |   -0.3776 |
+#> |.....................|   -0.1041 |   -0.3537 |...........|...........|
+#> |  116|     479.11139 |     1.005 |    -1.441 |   -0.9347 |   -0.9181 |
+#> |.....................|    -1.105 |    -1.058 |   -0.1829 |   -0.9211 |
+#> |.....................|   -0.7337 |    -1.100 |   -0.5039 |   -0.8760 |
+#> |.....................|    -1.083 |  -0.03771 |...........|...........|
+#> |    U|     479.11139 |     91.41 |    -5.641 |   -0.9117 |    -2.180 |
+#> |.....................|    -4.717 |    0.3792 |     1.117 |   0.05712 |
+#> |.....................|    0.8357 |    0.6988 |     1.613 |    0.9517 |
+#> |.....................|    0.6824 |     2.221 |...........|...........|
+#> |    X|     479.11139 |     91.41 |  0.003549 |    0.2867 |    0.1130 |
+#> |.....................|  0.008941 |    0.5937 |     1.117 |   0.05712 |
+#> |.....................|    0.8357 |    0.6988 |     1.613 |    0.9517 |
+#> |.....................|    0.6824 |     2.221 |...........|...........|
+#> |    F| Forward Diff. |     3.241 |    0.6036 | 0.0009951 |  -0.02154 |
+#> |.....................|    0.2300 |   -0.1727 |    0.8524 |    0.8311 |
+#> |.....................|   -0.3642 |    -1.386 |     1.866 |   -0.3472 |
+#> |.....................|   -0.1024 |   -0.3634 |...........|...........|
+#> |  117|     479.10851 |     1.004 |    -1.443 |   -0.9342 |   -0.9180 |
+#> |.....................|    -1.105 |    -1.058 |   -0.1837 |   -0.9207 |
+#> |.....................|   -0.7329 |    -1.100 |   -0.5043 |   -0.8759 |
+#> |.....................|    -1.084 |  -0.03710 |...........|...........|
+#> |    U|     479.10851 |     91.37 |    -5.643 |   -0.9112 |    -2.180 |
+#> |.....................|    -4.718 |    0.3794 |     1.117 |   0.05713 |
+#> |.....................|    0.8363 |    0.6988 |     1.613 |    0.9517 |
+#> |.....................|    0.6823 |     2.222 |...........|...........|
+#> |    X|     479.10851 |     91.37 |  0.003542 |    0.2868 |    0.1130 |
+#> |.....................|  0.008933 |    0.5937 |     1.117 |   0.05713 |
+#> |.....................|    0.8363 |    0.6988 |     1.613 |    0.9517 |
+#> |.....................|    0.6823 |     2.222 |...........|...........|
+#> |    F| Forward Diff. |    -1.500 |    0.5956 |  -0.03344 |  -0.01385 |
+#> |.....................|    0.2306 |   -0.1498 |    0.8910 |    0.8240 |
+#> |.....................|   -0.3570 |    -1.405 |    0.8461 |   -0.3572 |
+#> |.....................|  -0.08808 |   -0.3487 |...........|...........|
+#> |  118|     479.10606 |     1.005 |    -1.445 |   -0.9338 |   -0.9180 |
+#> |.....................|    -1.106 |    -1.057 |   -0.1846 |   -0.9207 |
+#> |.....................|   -0.7320 |    -1.099 |   -0.5047 |   -0.8757 |
+#> |.....................|    -1.084 |  -0.03650 |...........|...........|
+#> |    U|     479.10606 |     91.43 |    -5.645 |   -0.9108 |    -2.180 |
+#> |.....................|    -4.719 |    0.3796 |     1.116 |   0.05713 |
+#> |.....................|    0.8369 |    0.6994 |     1.612 |    0.9519 |
+#> |.....................|    0.6822 |     2.222 |...........|...........|
+#> |    X|     479.10606 |     91.43 |  0.003535 |    0.2868 |    0.1130 |
+#> |.....................|  0.008927 |    0.5938 |     1.116 |   0.05713 |
+#> |.....................|    0.8369 |    0.6994 |     1.612 |    0.9519 |
+#> |.....................|    0.6822 |     2.222 |...........|...........|
+#> |    F| Forward Diff. |     5.260 |    0.5953 |   0.07226 |  -0.02302 |
+#> |.....................|    0.2275 |   -0.1573 |    0.8150 |    0.8159 |
+#> |.....................|   -0.3410 |    -1.340 |    0.8208 |    0.1422 |
+#> |.....................|    0.2750 |   -0.3500 |...........|...........|
+#> |  119|     479.10199 |     1.004 |    -1.447 |   -0.9337 |   -0.9181 |
+#> |.....................|    -1.107 |    -1.057 |   -0.1854 |   -0.9204 |
+#> |.....................|   -0.7311 |    -1.099 |   -0.5045 |   -0.8757 |
+#> |.....................|    -1.084 |  -0.03604 |...........|...........|
+#> |    U|     479.10199 |     91.37 |    -5.647 |   -0.9107 |    -2.180 |
+#> |.....................|    -4.720 |    0.3799 |     1.116 |   0.05714 |
+#> |.....................|    0.8375 |    0.6999 |     1.613 |    0.9520 |
+#> |.....................|    0.6821 |     2.223 |...........|...........|
+#> |    X|     479.10199 |     91.37 |  0.003528 |    0.2869 |    0.1130 |
+#> |.....................|  0.008919 |    0.5938 |     1.116 |   0.05714 |
+#> |.....................|    0.8375 |    0.6999 |     1.613 |    0.9520 |
+#> |.....................|    0.6821 |     2.223 |...........|...........|
+#> |    F| Forward Diff. |   -0.7698 |    0.5858 | -0.004343 |  -0.01418 |
+#> |.....................|    0.2278 |   -0.1298 |    0.8244 |    0.7686 |
+#> |.....................|   -0.3575 |    -1.372 |    0.8320 |   -0.3359 |
+#> |.....................|    0.2977 |   -0.3384 |...........|...........|
+#> |  120|     479.09844 |     1.005 |    -1.448 |   -0.9337 |   -0.9180 |
+#> |.....................|    -1.108 |    -1.056 |   -0.1863 |   -0.9208 |
+#> |.....................|   -0.7304 |    -1.097 |   -0.5051 |   -0.8752 |
+#> |.....................|    -1.084 |  -0.03534 |...........|...........|
+#> |    U|     479.09844 |     91.43 |    -5.648 |   -0.9108 |    -2.180 |
+#> |.....................|    -4.720 |    0.3801 |     1.116 |   0.05713 |
+#> |.....................|    0.8381 |    0.7011 |     1.612 |    0.9524 |
+#> |.....................|    0.6817 |     2.224 |...........|...........|
+#> |    X|     479.09844 |     91.43 |  0.003523 |    0.2868 |    0.1130 |
+#> |.....................|  0.008914 |    0.5939 |     1.116 |   0.05713 |
+#> |.....................|    0.8381 |    0.7011 |     1.612 |    0.9524 |
+#> |.....................|    0.6817 |     2.224 |...........|...........|
+#> |    F| Forward Diff. |     4.894 |    0.5851 |   0.05981 |  -0.02077 |
+#> |.....................|    0.2261 |   -0.1389 |    0.7622 |    0.7617 |
+#> |.....................|   -0.3411 |    -1.236 |    0.7863 |    0.1583 |
+#> |.....................|    0.2091 |   -0.3951 |...........|...........|
+#> |  121|     479.09485 |     1.004 |    -1.450 |   -0.9338 |   -0.9180 |
+#> |.....................|    -1.108 |    -1.056 |   -0.1867 |   -0.9202 |
+#> |.....................|   -0.7295 |    -1.097 |   -0.5051 |   -0.8750 |
+#> |.....................|    -1.085 |  -0.03445 |...........|...........|
+#> |    U|     479.09485 |     91.37 |    -5.650 |   -0.9108 |    -2.180 |
+#> |.....................|    -4.721 |    0.3803 |     1.116 |   0.05714 |
+#> |.....................|    0.8388 |    0.7016 |     1.612 |    0.9526 |
+#> |.....................|    0.6813 |     2.225 |...........|...........|
+#> |    X|     479.09485 |     91.37 |  0.003517 |    0.2868 |    0.1130 |
+#> |.....................|  0.008907 |    0.5939 |     1.116 |   0.05714 |
+#> |.....................|    0.8388 |    0.7016 |     1.612 |    0.9526 |
+#> |.....................|    0.6813 |     2.225 |...........|...........|
+#> |    F| Forward Diff. |    -1.077 |    0.5762 |  -0.02502 |  -0.01122 |
+#> |.....................|    0.2275 |   -0.1137 |    0.7953 |    0.7347 |
+#> |.....................|   -0.3473 |    -1.249 |    0.8683 |    0.1895 |
+#> |.....................|    0.2333 |   -0.3625 |...........|...........|
+#> |  122|     479.09211 |     1.005 |    -1.452 |   -0.9337 |   -0.9180 |
+#> |.....................|    -1.109 |    -1.055 |   -0.1878 |   -0.9202 |
+#> |.....................|   -0.7286 |    -1.096 |   -0.5055 |   -0.8752 |
+#> |.....................|    -1.085 |  -0.03372 |...........|...........|
+#> |    U|     479.09211 |     91.41 |    -5.652 |   -0.9107 |    -2.180 |
+#> |.....................|    -4.722 |    0.3805 |     1.115 |   0.05714 |
+#> |.....................|    0.8394 |    0.7021 |     1.612 |    0.9524 |
+#> |.....................|    0.6810 |     2.226 |...........|...........|
+#> |    X|     479.09211 |     91.41 |  0.003510 |    0.2868 |    0.1130 |
+#> |.....................|  0.008900 |    0.5940 |     1.115 |   0.05714 |
+#> |.....................|    0.8394 |    0.7021 |     1.612 |    0.9524 |
+#> |.....................|    0.6810 |     2.226 |...........|...........|
+#> |    F| Forward Diff. |     3.651 |    0.5754 |   0.04071 |  -0.01634 |
+#> |.....................|    0.2261 |   -0.1150 |    0.8084 |    0.7089 |
+#> |.....................|   -0.3268 |    -1.156 |    0.8610 |    0.1793 |
+#> |.....................|    0.2137 |   -0.3471 |...........|...........|
+#> |  123|     479.08947 |     1.004 |    -1.454 |   -0.9335 |   -0.9181 |
+#> |.....................|    -1.110 |    -1.055 |   -0.1890 |   -0.9199 |
+#> |.....................|   -0.7277 |    -1.096 |   -0.5056 |   -0.8754 |
+#> |.....................|    -1.085 |  -0.03307 |...........|...........|
+#> |    U|     479.08947 |     91.37 |    -5.654 |   -0.9105 |    -2.180 |
+#> |.....................|    -4.722 |    0.3808 |     1.115 |   0.05715 |
+#> |.....................|    0.8401 |    0.7021 |     1.611 |    0.9522 |
+#> |.....................|    0.6809 |     2.226 |...........|...........|
+#> |    X|     479.08947 |     91.37 |  0.003504 |    0.2869 |    0.1130 |
+#> |.....................|  0.008893 |    0.5941 |     1.115 |   0.05715 |
+#> |.....................|    0.8401 |    0.7021 |     1.611 |    0.9522 |
+#> |.....................|    0.6809 |     2.226 |...........|...........|
+#> |    F| Forward Diff. |   -0.8529 |    0.5679 | -0.006947 | -0.009666 |
+#> |.....................|    0.2263 |  -0.09399 |    0.7582 |    0.6848 |
+#> |.....................|   -0.3382 |    -1.232 |    0.7736 |   -0.3452 |
+#> |.....................|   -0.1950 |   -0.3796 |...........|...........|
+#> |  124|     479.08673 |     1.005 |    -1.456 |   -0.9331 |   -0.9181 |
+#> |.....................|    -1.111 |    -1.054 |   -0.1901 |   -0.9198 |
+#> |.....................|   -0.7269 |    -1.095 |   -0.5060 |   -0.8751 |
+#> |.....................|    -1.085 |  -0.03242 |...........|...........|
+#> |    U|     479.08673 |     91.42 |    -5.656 |   -0.9102 |    -2.180 |
+#> |.....................|    -4.723 |    0.3808 |     1.114 |   0.05716 |
+#> |.....................|    0.8406 |    0.7030 |     1.611 |    0.9525 |
+#> |.....................|    0.6810 |     2.227 |...........|...........|
+#> |    X|     479.08673 |     91.42 |  0.003498 |    0.2870 |    0.1130 |
+#> |.....................|  0.008887 |    0.5941 |     1.114 |   0.05716 |
+#> |.....................|    0.8406 |    0.7030 |     1.611 |    0.9525 |
+#> |.....................|    0.6810 |     2.227 |...........|...........|
+#> |    F| Forward Diff. |     4.055 |    0.5667 |   0.07240 |  -0.01542 |
+#> |.....................|    0.2241 |   -0.1033 |    0.7160 |    0.6904 |
+#> |.....................|   -0.3260 |    -1.123 |    0.7675 |    0.1856 |
+#> |.....................|    0.1986 |   -0.4973 |...........|...........|
+#> |  125|     479.08385 |     1.004 |    -1.457 |   -0.9328 |   -0.9181 |
+#> |.....................|    -1.112 |    -1.054 |   -0.1908 |   -0.9191 |
+#> |.....................|   -0.7261 |    -1.095 |   -0.5059 |   -0.8749 |
+#> |.....................|    -1.085 |  -0.03140 |...........|...........|
+#> |    U|     479.08385 |     91.37 |    -5.657 |   -0.9100 |    -2.180 |
+#> |.....................|    -4.724 |    0.3808 |     1.114 |   0.05718 |
+#> |.....................|    0.8412 |    0.7034 |     1.611 |    0.9527 |
+#> |.....................|    0.6808 |     2.228 |...........|...........|
+#> |    X|     479.08385 |     91.37 |  0.003491 |    0.2870 |    0.1130 |
+#> |.....................|  0.008879 |    0.5941 |     1.114 |   0.05718 |
+#> |.....................|    0.8412 |    0.7034 |     1.611 |    0.9527 |
+#> |.....................|    0.6808 |     2.228 |...........|...........|
+#> |    F| Forward Diff. |   -0.7735 |    0.5583 |   0.01997 | -0.008335 |
+#> |.....................|    0.2243 |  -0.08958 |    0.6952 |    0.6337 |
+#> |.....................|   -0.3199 |    -1.102 |    0.8222 |    0.2014 |
+#> |.....................|    0.2310 |   -0.4538 |...........|...........|
+#> |  126|     479.08143 |     1.005 |    -1.459 |   -0.9328 |   -0.9181 |
+#> |.....................|    -1.112 |    -1.054 |   -0.1918 |   -0.9191 |
+#> |.....................|   -0.7254 |    -1.094 |   -0.5066 |   -0.8749 |
+#> |.....................|    -1.086 |  -0.03018 |...........|...........|
+#> |    U|     479.08143 |     91.42 |    -5.659 |   -0.9100 |    -2.180 |
+#> |.....................|    -4.725 |    0.3810 |     1.113 |   0.05718 |
+#> |.....................|    0.8417 |    0.7042 |     1.610 |    0.9527 |
+#> |.....................|    0.6804 |     2.230 |...........|...........|
+#> |    X|     479.08143 |     91.42 |  0.003486 |    0.2870 |    0.1130 |
+#> |.....................|  0.008874 |    0.5941 |     1.113 |   0.05718 |
+#> |.....................|    0.8417 |    0.7042 |     1.610 |    0.9527 |
+#> |.....................|    0.6804 |     2.230 |...........|...........|
+#> |    F| Forward Diff. |     4.589 |    0.5568 |   0.08446 |  -0.01637 |
+#> |.....................|    0.2217 |  -0.09943 |    0.6530 |    0.6713 |
+#> |.....................|   -0.3160 |    -1.044 |    0.6971 |   -0.3035 |
+#> |.....................|   -0.2323 |   -0.3746 |...........|...........|
+#> |  127|     479.07858 |     1.004 |    -1.461 |   -0.9326 |   -0.9181 |
+#> |.....................|    -1.113 |    -1.054 |   -0.1923 |   -0.9184 |
+#> |.....................|   -0.7246 |    -1.093 |   -0.5066 |   -0.8747 |
+#> |.....................|    -1.086 |  -0.02916 |...........|...........|
+#> |    U|     479.07858 |     91.36 |    -5.661 |   -0.9098 |    -2.181 |
+#> |.....................|    -4.725 |    0.3811 |     1.113 |   0.05720 |
+#> |.....................|    0.8423 |    0.7045 |     1.610 |    0.9529 |
+#> |.....................|    0.6802 |     2.231 |...........|...........|
+#> |    X|     479.07858 |     91.36 |  0.003479 |    0.2870 |    0.1130 |
+#> |.....................|  0.008866 |    0.5941 |     1.113 |   0.05720 |
+#> |.....................|    0.8423 |    0.7045 |     1.610 |    0.9529 |
+#> |.....................|    0.6802 |     2.231 |...........|...........|
+#> |    F| Forward Diff. |    -1.147 |    0.5485 |   0.01974 | -0.006990 |
+#> |.....................|    0.2231 |  -0.08394 |    0.6583 |    0.6424 |
+#> |.....................|   -0.3232 |    -1.114 |    0.8219 |    0.1886 |
+#> |.....................|    0.1911 |   -0.3375 |...........|...........|
+#> |  128|     479.07618 |     1.004 |    -1.463 |   -0.9323 |   -0.9182 |
+#> |.....................|    -1.114 |    -1.054 |   -0.1929 |   -0.9181 |
+#> |.....................|   -0.7237 |    -1.093 |   -0.5068 |   -0.8746 |
+#> |.....................|    -1.086 |  -0.02850 |...........|...........|
+#> |    U|     479.07618 |     91.40 |    -5.663 |   -0.9095 |    -2.181 |
+#> |.....................|    -4.726 |    0.3811 |     1.113 |   0.05721 |
+#> |.....................|    0.8430 |    0.7050 |     1.610 |    0.9530 |
+#> |.....................|    0.6800 |     2.232 |...........|...........|
+#> |    X|     479.07618 |     91.40 |  0.003472 |    0.2871 |    0.1130 |
+#> |.....................|  0.008858 |    0.5941 |     1.113 |   0.05721 |
+#> |.....................|    0.8430 |    0.7050 |     1.610 |    0.9530 |
+#> |.....................|    0.6800 |     2.232 |...........|...........|
+#> |    F| Forward Diff. |     2.586 |    0.5458 |   0.07904 |  -0.01251 |
+#> |.....................|    0.2203 |  -0.08960 |    0.6458 |    0.6586 |
+#> |.....................|   -0.3031 |   -0.9906 |    0.7687 |    0.2646 |
+#> |.....................|    0.1721 |   -0.3284 |...........|...........|
+#> |  129|     479.07405 |     1.004 |    -1.465 |   -0.9322 |   -0.9183 |
+#> |.....................|    -1.115 |    -1.053 |   -0.1937 |   -0.9179 |
+#> |.....................|   -0.7228 |    -1.093 |   -0.5070 |   -0.8747 |
+#> |.....................|    -1.087 |  -0.02798 |...........|...........|
+#> |    U|     479.07405 |     91.36 |    -5.665 |   -0.9094 |    -2.181 |
+#> |.....................|    -4.727 |    0.3813 |     1.113 |   0.05721 |
+#> |.....................|    0.8437 |    0.7050 |     1.610 |    0.9529 |
+#> |.....................|    0.6797 |     2.233 |...........|...........|
+#> |    X|     479.07405 |     91.36 |  0.003465 |    0.2871 |    0.1130 |
+#> |.....................|  0.008850 |    0.5942 |     1.113 |   0.05721 |
+#> |.....................|    0.8437 |    0.7050 |     1.610 |    0.9529 |
+#> |.....................|    0.6797 |     2.233 |...........|...........|
+#> |    F| Forward Diff. |    -1.296 |    0.5389 |   0.03360 | -0.006173 |
+#> |.....................|    0.2208 |  -0.07255 |    0.6853 |    0.5995 |
+#> |.....................|   -0.2906 |    -1.015 |    0.7685 |    0.2327 |
+#> |.....................|    0.1765 |   -0.3245 |...........|...........|
+#> |  130|     479.07209 |     1.004 |    -1.467 |   -0.9321 |   -0.9183 |
+#> |.....................|    -1.116 |    -1.053 |   -0.1949 |   -0.9178 |
+#> |.....................|   -0.7220 |    -1.093 |   -0.5073 |   -0.8750 |
+#> |.....................|    -1.087 |  -0.02746 |...........|...........|
+#> |    U|     479.07209 |     91.39 |    -5.667 |   -0.9093 |    -2.181 |
+#> |.....................|    -4.728 |    0.3814 |     1.112 |   0.05721 |
+#> |.....................|    0.8442 |    0.7050 |     1.609 |    0.9526 |
+#> |.....................|    0.6796 |     2.233 |...........|...........|
+#> |    X|     479.07209 |     91.39 |  0.003458 |    0.2871 |    0.1130 |
+#> |.....................|  0.008841 |    0.5942 |     1.112 |   0.05721 |
+#> |.....................|    0.8442 |    0.7050 |     1.609 |    0.9526 |
+#> |.....................|    0.6796 |     2.233 |...........|...........|
+#> |    F| Forward Diff. |     2.160 |    0.5372 |   0.08826 |  -0.01153 |
+#> |.....................|    0.2184 |  -0.07756 |    0.6386 |    0.6404 |
+#> |.....................|   -0.2977 |   -0.9812 |    0.7463 |    0.2047 |
+#> |.....................|    0.1647 |   -0.3238 |...........|...........|
+#> |  131|     479.07029 |     1.004 |    -1.469 |   -0.9320 |   -0.9184 |
+#> |.....................|    -1.117 |    -1.053 |   -0.1960 |   -0.9175 |
+#> |.....................|   -0.7213 |    -1.093 |   -0.5075 |   -0.8752 |
+#> |.....................|    -1.087 |  -0.02689 |...........|...........|
+#> |    U|     479.07029 |     91.35 |    -5.669 |   -0.9092 |    -2.181 |
+#> |.....................|    -4.729 |    0.3815 |     1.112 |   0.05722 |
+#> |.....................|    0.8447 |    0.7049 |     1.609 |    0.9524 |
+#> |.....................|    0.6795 |     2.234 |...........|...........|
+#> |    X|     479.07029 |     91.35 |  0.003451 |    0.2872 |    0.1130 |
+#> |.....................|  0.008833 |    0.5942 |     1.112 |   0.05722 |
+#> |.....................|    0.8447 |    0.7049 |     1.609 |    0.9524 |
+#> |.....................|    0.6795 |     2.234 |...........|...........|
+#> |    F| Forward Diff. |    -1.487 |    0.5301 |   0.04502 | -0.006786 |
+#> |.....................|    0.2180 |  -0.06576 |    0.6433 |    0.5523 |
+#> |.....................|   -0.2822 |    -1.039 |     1.637 |   -0.2973 |
+#> |.....................|   -0.2152 |   -0.3175 |...........|...........|
+#> |  132|     479.06833 |     1.004 |    -1.471 |   -0.9316 |   -0.9185 |
+#> |.....................|    -1.118 |    -1.053 |   -0.1965 |   -0.9170 |
+#> |.....................|   -0.7207 |    -1.093 |   -0.5082 |   -0.8751 |
+#> |.....................|    -1.087 |  -0.02616 |...........|...........|
+#> |    U|     479.06833 |     91.38 |    -5.671 |   -0.9088 |    -2.181 |
+#> |.....................|    -4.730 |    0.3814 |     1.111 |   0.05724 |
+#> |.....................|    0.8452 |    0.7048 |     1.608 |    0.9525 |
+#> |.....................|    0.6792 |     2.235 |...........|...........|
+#> |    X|     479.06833 |     91.38 |  0.003444 |    0.2872 |    0.1129 |
+#> |.....................|  0.008825 |    0.5942 |     1.111 |   0.05724 |
+#> |.....................|    0.8452 |    0.7048 |     1.608 |    0.9525 |
+#> |.....................|    0.6792 |     2.235 |...........|...........|
+#> |    F| Forward Diff. |    0.6466 |    0.5255 |   0.09166 |  -0.01288 |
+#> |.....................|    0.2142 |  -0.07904 |    0.5622 |    0.5865 |
+#> |.....................|   -0.2779 |    -1.008 |    0.7011 |    0.1998 |
+#> |.....................|    0.1404 |   -0.3181 |...........|...........|
+#> |  133|     479.06868 |     1.003 |    -1.472 |   -0.9317 |   -0.9185 |
+#> |.....................|    -1.118 |    -1.053 |   -0.1973 |   -0.9180 |
+#> |.....................|   -0.7202 |    -1.092 |   -0.5093 |   -0.8754 |
+#> |.....................|    -1.087 |  -0.02567 |...........|...........|
+#> |    U|     479.06868 |     91.29 |    -5.672 |   -0.9090 |    -2.181 |
+#> |.....................|    -4.731 |    0.3814 |     1.111 |   0.05721 |
+#> |.....................|    0.8455 |    0.7062 |     1.607 |    0.9522 |
+#> |.....................|    0.6790 |     2.235 |...........|...........|
+#> |    X|     479.06868 |     91.29 |  0.003441 |    0.2872 |    0.1129 |
+#> |.....................|  0.008822 |    0.5942 |     1.111 |   0.05721 |
+#> |.....................|    0.8455 |    0.7062 |     1.607 |    0.9522 |
+#> |.....................|    0.6790 |     2.235 |...........|...........|
+#> |  134|     479.06735 |     1.004 |    -1.472 |   -0.9316 |   -0.9185 |
+#> |.....................|    -1.118 |    -1.053 |   -0.1969 |   -0.9175 |
+#> |.....................|   -0.7205 |    -1.092 |   -0.5087 |   -0.8753 |
+#> |.....................|    -1.087 |  -0.02593 |...........|...........|
+#> |    U|     479.06735 |     91.33 |    -5.672 |   -0.9089 |    -2.181 |
+#> |.....................|    -4.730 |    0.3814 |     1.111 |   0.05722 |
+#> |.....................|    0.8453 |    0.7054 |     1.608 |    0.9523 |
+#> |.....................|    0.6791 |     2.235 |...........|...........|
+#> |    X|     479.06735 |     91.33 |  0.003443 |    0.2872 |    0.1129 |
+#> |.....................|  0.008823 |    0.5942 |     1.111 |   0.05722 |
+#> |.....................|    0.8453 |    0.7054 |     1.608 |    0.9523 |
+#> |.....................|    0.6791 |     2.235 |...........|...........|
+#> |    F| Forward Diff. |    -3.476 |    0.5223 |   0.03269 | -0.003763 |
+#> |.....................|    0.2173 |  -0.06616 |    0.5281 |    0.5229 |
+#> |.....................|   -0.3041 |    -1.023 |     1.607 |   -0.2773 |
+#> |.....................|   -0.2325 |   -0.3192 |...........|...........|
+#> |  135|     479.06543 |     1.004 |    -1.472 |   -0.9319 |   -0.9185 |
+#> |.....................|    -1.118 |    -1.053 |   -0.1968 |   -0.9175 |
+#> |.....................|   -0.7201 |    -1.092 |   -0.5088 |   -0.8751 |
+#> |.....................|    -1.088 |  -0.02567 |...........|...........|
+#> |    U|     479.06543 |     91.36 |    -5.672 |   -0.9091 |    -2.181 |
+#> |.....................|    -4.731 |    0.3815 |     1.111 |   0.05722 |
+#> |.....................|    0.8456 |    0.7056 |     1.608 |    0.9525 |
+#> |.....................|    0.6790 |     2.235 |...........|...........|
+#> |    X|     479.06543 |     91.36 |  0.003439 |    0.2872 |    0.1129 |
+#> |.....................|  0.008820 |    0.5942 |     1.111 |   0.05722 |
+#> |.....................|    0.8456 |    0.7056 |     1.608 |    0.9525 |
+#> |.....................|    0.6790 |     2.235 |...........|...........|
+#> |  136|     479.06390 |     1.004 |    -1.474 |   -0.9324 |   -0.9185 |
+#> |.....................|    -1.119 |    -1.053 |   -0.1965 |   -0.9174 |
+#> |.....................|   -0.7194 |    -1.092 |   -0.5089 |   -0.8750 |
+#> |.....................|    -1.088 |  -0.02528 |...........|...........|
+#> |    U|      479.0639 |     91.36 |    -5.674 |   -0.9095 |    -2.181 |
+#> |.....................|    -4.732 |    0.3816 |     1.111 |   0.05723 |
+#> |.....................|    0.8461 |    0.7059 |     1.607 |    0.9526 |
+#> |.....................|    0.6786 |     2.236 |...........|...........|
+#> |    X|      479.0639 |     91.36 |  0.003434 |    0.2871 |    0.1129 |
+#> |.....................|  0.008813 |    0.5943 |     1.111 |   0.05723 |
+#> |.....................|    0.8461 |    0.7059 |     1.607 |    0.9526 |
+#> |.....................|    0.6786 |     2.236 |...........|...........|
+#> |  137|     479.05708 |     1.004 |    -1.481 |   -0.9346 |   -0.9186 |
+#> |.....................|    -1.123 |    -1.051 |   -0.1952 |   -0.9171 |
+#> |.....................|   -0.7164 |    -1.090 |   -0.5089 |   -0.8741 |
+#> |.....................|    -1.090 |  -0.02338 |...........|...........|
+#> |    U|     479.05708 |     91.37 |    -5.681 |   -0.9115 |    -2.181 |
+#> |.....................|    -4.735 |    0.3824 |     1.112 |   0.05724 |
+#> |.....................|    0.8483 |    0.7072 |     1.607 |    0.9535 |
+#> |.....................|    0.6769 |     2.238 |...........|...........|
+#> |    X|     479.05708 |     91.37 |  0.003409 |    0.2867 |    0.1129 |
+#> |.....................|  0.008783 |    0.5944 |     1.112 |   0.05724 |
+#> |.....................|    0.8483 |    0.7072 |     1.607 |    0.9535 |
+#> |.....................|    0.6769 |     2.238 |...........|...........|
+#> |  138|     479.03987 |     1.004 |    -1.510 |   -0.9434 |   -0.9188 |
+#> |.....................|    -1.136 |    -1.045 |   -0.1899 |   -0.9157 |
+#> |.....................|   -0.7043 |    -1.085 |   -0.5092 |   -0.8705 |
+#> |.....................|    -1.098 |  -0.01577 |...........|...........|
+#> |    U|     479.03987 |     91.37 |    -5.710 |   -0.9193 |    -2.181 |
+#> |.....................|    -4.749 |    0.3852 |     1.114 |   0.05728 |
+#> |.....................|    0.8571 |    0.7123 |     1.607 |    0.9569 |
+#> |.....................|    0.6702 |     2.247 |...........|...........|
+#> |    X|     479.03987 |     91.37 |  0.003311 |    0.2851 |    0.1129 |
+#> |.....................|  0.008662 |    0.5951 |     1.114 |   0.05728 |
+#> |.....................|    0.8571 |    0.7123 |     1.607 |    0.9569 |
+#> |.....................|    0.6702 |     2.247 |...........|...........|
+#> |    F| Forward Diff. |   -0.3651 |    0.4285 |   -0.5283 | -0.001988 |
+#> |.....................|    0.1991 |   0.06799 |    0.8278 |    0.7155 |
+#> |.....................|   -0.2362 |   -0.3851 |    0.6274 |    0.1204 |
+#> |.....................|   -0.9270 |   -0.3308 |...........|...........|
+#> |  139|     479.01407 |     1.005 |    -1.553 |   -0.9371 |   -0.9187 |
+#> |.....................|    -1.158 |    -1.041 |   -0.1978 |   -0.9162 |
+#> |.....................|   -0.6881 |    -1.086 |   -0.5088 |   -0.8721 |
+#> |.....................|    -1.097 |  -0.01436 |...........|...........|
+#> |    U|     479.01407 |     91.44 |    -5.753 |   -0.9138 |    -2.181 |
+#> |.....................|    -4.770 |    0.3869 |     1.111 |   0.05726 |
+#> |.....................|    0.8690 |    0.7117 |     1.608 |    0.9554 |
+#> |.....................|    0.6704 |     2.249 |...........|...........|
+#> |    X|     479.01407 |     91.44 |  0.003172 |    0.2862 |    0.1129 |
+#> |.....................|  0.008479 |    0.5955 |     1.111 |   0.05726 |
+#> |.....................|    0.8690 |    0.7117 |     1.608 |    0.9554 |
+#> |.....................|    0.6704 |     2.249 |...........|...........|
+#> |    F| Forward Diff. |     7.322 |    0.3385 |  -0.09736 | -0.005783 |
+#> |.....................|    0.1607 |    0.1322 |    0.5556 |    0.5176 |
+#> |.....................|   -0.1562 |   -0.2690 |     1.549 |  -0.03161 |
+#> |.....................|   -0.8578 |   -0.3240 |...........|...........|
+#> |  140|     478.99946 |     1.003 |    -1.595 |   -0.9294 |   -0.9194 |
+#> |.....................|    -1.179 |    -1.045 |   -0.1992 |   -0.9136 |
+#> |.....................|   -0.6715 |    -1.093 |   -0.5132 |   -0.8724 |
+#> |.....................|    -1.100 | -0.009543 |...........|...........|
+#> |    U|     478.99946 |     91.31 |    -5.795 |   -0.9069 |    -2.182 |
+#> |.....................|    -4.791 |    0.3851 |     1.110 |   0.05734 |
+#> |.....................|    0.8811 |    0.7049 |     1.602 |    0.9551 |
+#> |.....................|    0.6678 |     2.255 |...........|...........|
+#> |    X|     478.99946 |     91.31 |  0.003042 |    0.2876 |    0.1128 |
+#> |.....................|  0.008303 |    0.5951 |     1.110 |   0.05734 |
+#> |.....................|    0.8811 |    0.7049 |     1.602 |    0.9551 |
+#> |.....................|    0.6678 |     2.255 |...........|...........|
+#> |    F| Forward Diff. |    -5.440 |    0.2525 |    0.1677 |  0.001517 |
+#> |.....................|    0.1272 |   0.05864 |    0.6253 |    0.4352 |
+#> |.....................|   -0.1457 |   -0.7321 |     1.353 | 0.0009973 |
+#> |.....................|    -1.018 |   -0.3498 |...........|...........|
+#> |  141|     479.00064 |     1.004 |    -1.626 |   -0.9429 |   -0.9240 |
+#> |.....................|    -1.201 |    -1.064 |   -0.2165 |   -0.9169 |
+#> |.....................|   -0.6612 |    -1.100 |   -0.5189 |   -0.8809 |
+#> |.....................|    -1.100 | -0.001744 |...........|...........|
+#> |    U|     479.00064 |     91.38 |    -5.826 |   -0.9189 |    -2.186 |
+#> |.....................|    -4.814 |    0.3763 |     1.103 |   0.05724 |
+#> |.....................|    0.8887 |    0.6986 |     1.596 |    0.9470 |
+#> |.....................|    0.6683 |     2.264 |...........|...........|
+#> |    X|     479.00064 |     91.38 |  0.002950 |    0.2852 |    0.1123 |
+#> |.....................|  0.008117 |    0.5930 |     1.103 |   0.05724 |
+#> |.....................|    0.8887 |    0.6986 |     1.596 |    0.9470 |
+#> |.....................|    0.6683 |     2.264 |...........|...........|
+#> |  142|     478.99385 |     1.004 |    -1.610 |   -0.9359 |   -0.9216 |
+#> |.....................|    -1.190 |    -1.054 |   -0.2077 |   -0.9152 |
+#> |.....................|   -0.6665 |    -1.096 |   -0.5161 |   -0.8765 |
+#> |.....................|    -1.100 | -0.005738 |...........|...........|
+#> |    U|     478.99385 |     91.39 |    -5.810 |   -0.9127 |    -2.184 |
+#> |.....................|    -4.802 |    0.3808 |     1.107 |   0.05729 |
+#> |.....................|    0.8848 |    0.7019 |     1.599 |    0.9512 |
+#> |.....................|    0.6681 |     2.260 |...........|...........|
+#> |    X|     478.99385 |     91.39 |  0.002997 |    0.2864 |    0.1126 |
+#> |.....................|  0.008212 |    0.5941 |     1.107 |   0.05729 |
+#> |.....................|    0.8848 |    0.7019 |     1.599 |    0.9512 |
+#> |.....................|    0.6681 |     2.260 |...........|...........|
+#> |    F| Forward Diff. |     2.499 |    0.2382 |  -0.03703 |  -0.03958 |
+#> |.....................|   0.09629 |   -0.2111 |    0.3210 |    0.2393 |
+#> |.....................|   -0.1233 |   -0.7892 |     1.126 |   -0.4047 |
+#> |.....................|    -1.051 |   -0.3984 |...........|...........|
+#> |  143|     478.98455 |     1.004 |    -1.625 |   -0.9347 |   -0.9200 |
+#> |.....................|    -1.200 |    -1.054 |   -0.2131 |   -0.9088 |
+#> |.....................|   -0.6653 |    -1.094 |   -0.5167 |   -0.8757 |
+#> |.....................|    -1.099 |  0.008183 |...........|...........|
+#> |    U|     478.98455 |     91.36 |    -5.825 |   -0.9116 |    -2.182 |
+#> |.....................|    -4.813 |    0.3812 |     1.105 |   0.05748 |
+#> |.....................|    0.8857 |    0.7042 |     1.598 |    0.9520 |
+#> |.....................|    0.6689 |     2.277 |...........|...........|
+#> |    X|     478.98455 |     91.36 |  0.002951 |    0.2867 |    0.1128 |
+#> |.....................|  0.008125 |    0.5942 |     1.105 |   0.05748 |
+#> |.....................|    0.8857 |    0.7042 |     1.598 |    0.9520 |
+#> |.....................|    0.6689 |     2.277 |...........|...........|
+#> |    F| Forward Diff. |   -0.2799 |    0.1926 |  -0.02074 |  -0.02333 |
+#> |.....................|   0.08052 |   -0.1468 |    0.2817 |    0.3348 |
+#> |.....................|   -0.1470 |   -0.6425 |     1.062 |   -0.3208 |
+#> |.....................|   -0.8181 |   -0.3186 |...........|...........|
+#> |  144|     478.97736 |     1.005 |    -1.639 |   -0.9325 |   -0.9174 |
+#> |.....................|    -1.210 |    -1.043 |   -0.2100 |   -0.9166 |
+#> |.....................|   -0.6557 |    -1.093 |   -0.5206 |   -0.8754 |
+#> |.....................|    -1.097 |   0.01446 |...........|...........|
+#> |    U|     478.97736 |     91.42 |    -5.839 |   -0.9097 |    -2.180 |
+#> |.....................|    -4.822 |    0.3861 |     1.106 |   0.05725 |
+#> |.....................|    0.8927 |    0.7053 |     1.594 |    0.9522 |
+#> |.....................|    0.6711 |     2.284 |...........|...........|
+#> |    X|     478.97736 |     91.42 |  0.002912 |    0.2871 |    0.1131 |
+#> |.....................|  0.008047 |    0.5953 |     1.106 |   0.05725 |
+#> |.....................|    0.8927 |    0.7053 |     1.594 |    0.9522 |
+#> |.....................|    0.6711 |     2.284 |...........|...........|
+#> |    F| Forward Diff. |     5.719 |    0.1644 |    0.1764 | 0.0002018 |
+#> |.....................|   0.06754 |    0.1935 |  -0.08189 |   -0.1310 |
+#> |.....................|  -0.08678 |    -2.826 |    0.8338 |   -0.2552 |
+#> |.....................|   -0.4561 |   -0.1956 |...........|...........|
+#> |  145|     478.97194 |     1.004 |    -1.652 |   -0.9304 |   -0.9153 |
+#> |.....................|    -1.221 |    -1.039 |   -0.2044 |   -0.9254 |
+#> |.....................|   -0.6443 |    -1.087 |   -0.5238 |   -0.8740 |
+#> |.....................|    -1.092 |   0.01749 |...........|...........|
+#> |    U|     478.97194 |     91.40 |    -5.852 |   -0.9078 |    -2.178 |
+#> |.....................|    -4.833 |    0.3880 |     1.108 |   0.05699 |
+#> |.....................|    0.9010 |    0.7106 |     1.590 |    0.9536 |
+#> |.....................|    0.6749 |     2.288 |...........|...........|
+#> |    X|     478.97194 |     91.40 |  0.002874 |    0.2875 |    0.1133 |
+#> |.....................|  0.007961 |    0.5958 |     1.108 |   0.05699 |
+#> |.....................|    0.9010 |    0.7106 |     1.590 |    0.9536 |
+#> |.....................|    0.6749 |     2.288 |...........|...........|
+#> |    F| Forward Diff. |     2.925 |    0.1117 |    0.2312 |   0.02461 |
+#> |.....................|   0.04286 |    0.3818 |    0.1548 |   -0.1592 |
+#> |.....................|  -0.04325 |   -0.1382 |    0.7430 |   -0.2262 |
+#> |.....................|  -0.01070 |   -0.1316 |...........|...........|
+#> |  146|     479.08778 |    0.9990 |    -1.662 |   -0.9298 |   -0.9158 |
+#> |.....................|    -1.224 |    -1.050 |   -0.2095 |   -0.9175 |
+#> |.....................|   -0.6325 |    -1.087 |   -0.5258 |   -0.8715 |
+#> |.....................|    -1.094 |   0.02816 |...........|...........|
+#> |    U|     479.08778 |     90.91 |    -5.862 |   -0.9073 |    -2.178 |
+#> |.....................|    -4.836 |    0.3828 |     1.106 |   0.05722 |
+#> |.....................|    0.9096 |    0.7103 |     1.587 |    0.9559 |
+#> |.....................|    0.6733 |     2.301 |...........|...........|
+#> |    X|     479.08778 |     90.91 |  0.002845 |    0.2876 |    0.1132 |
+#> |.....................|  0.007936 |    0.5946 |     1.106 |   0.05722 |
+#> |.....................|    0.9096 |    0.7103 |     1.587 |    0.9559 |
+#> |.....................|    0.6733 |     2.301 |...........|...........|
+#> |  147|     478.99303 |     1.002 |    -1.652 |   -0.9306 |   -0.9153 |
+#> |.....................|    -1.221 |    -1.039 |   -0.2045 |   -0.9253 |
+#> |.....................|   -0.6442 |    -1.087 |   -0.5244 |   -0.8738 |
+#> |.....................|    -1.092 |   0.01760 |...........|...........|
+#> |    U|     478.99303 |     91.18 |    -5.852 |   -0.9080 |    -2.178 |
+#> |.....................|    -4.833 |    0.3879 |     1.108 |   0.05700 |
+#> |.....................|    0.9011 |    0.7107 |     1.589 |    0.9537 |
+#> |.....................|    0.6749 |     2.288 |...........|...........|
+#> |    X|     478.99303 |     91.18 |  0.002874 |    0.2874 |    0.1133 |
+#> |.....................|  0.007961 |    0.5958 |     1.108 |   0.05700 |
+#> |.....................|    0.9011 |    0.7107 |     1.589 |    0.9537 |
+#> |.....................|    0.6749 |     2.288 |...........|...........|
+#> |  148|     478.97158 |     1.004 |    -1.652 |   -0.9304 |   -0.9153 |
+#> |.....................|    -1.221 |    -1.039 |   -0.2044 |   -0.9254 |
+#> |.....................|   -0.6443 |    -1.087 |   -0.5239 |   -0.8740 |
+#> |.....................|    -1.092 |   0.01751 |...........|...........|
+#> |    U|     478.97158 |     91.37 |    -5.852 |   -0.9078 |    -2.178 |
+#> |.....................|    -4.833 |    0.3880 |     1.108 |   0.05699 |
+#> |.....................|    0.9010 |    0.7106 |     1.590 |    0.9536 |
+#> |.....................|    0.6749 |     2.288 |...........|...........|
+#> |    X|     478.97158 |     91.37 |  0.002874 |    0.2874 |    0.1133 |
+#> |.....................|  0.007961 |    0.5958 |     1.108 |   0.05699 |
+#> |.....................|    0.9010 |    0.7106 |     1.590 |    0.9536 |
+#> |.....................|    0.6749 |     2.288 |...........|...........|
+#> |    F| Forward Diff. |   -0.1518 |    0.1094 |    0.1916 |   0.02921 |
+#> |.....................|   0.04385 |    0.3896 |   -0.2077 |   -0.4379 |
+#> |.....................|  -0.03471 |    -2.421 |    0.7262 |   -0.1589 |
+#> |.....................|   0.01110 |   -0.1305 |...........|...........|
+#> |  149|     478.97152 |     1.004 |    -1.652 |   -0.9304 |   -0.9153 |
+#> |.....................|    -1.221 |    -1.039 |   -0.2044 |   -0.9254 |
+#> |.....................|   -0.6443 |    -1.086 |   -0.5240 |   -0.8739 |
+#> |.....................|    -1.092 |   0.01753 |...........|...........|
+#> |    U|     478.97152 |     91.37 |    -5.852 |   -0.9078 |    -2.178 |
+#> |.....................|    -4.833 |    0.3880 |     1.108 |   0.05699 |
+#> |.....................|    0.9010 |    0.7109 |     1.590 |    0.9536 |
+#> |.....................|    0.6749 |     2.288 |...........|...........|
+#> |    X|     478.97152 |     91.37 |  0.002874 |    0.2874 |    0.1133 |
+#> |.....................|  0.007961 |    0.5958 |     1.108 |   0.05699 |
+#> |.....................|    0.9010 |    0.7109 |     1.590 |    0.9536 |
+#> |.....................|    0.6749 |     2.288 |...........|...........|
+#> |    C| Central Diff. |   -0.2246 |    0.1050 |    0.1574 |   0.02036 |
+#> |.....................|   0.04103 |    0.3470 |   -0.3387 |   -0.1919 |
+#> |.....................|   -0.1172 |   -0.1870 |    0.6243 |   -0.2341 |
+#> |.....................|  -0.06769 |   -0.1265 |...........|...........|
+#> |  150|     478.97142 |     1.004 |    -1.652 |   -0.9305 |   -0.9153 |
+#> |.....................|    -1.221 |    -1.039 |   -0.2042 |   -0.9253 |
+#> |.....................|   -0.6442 |    -1.086 |   -0.5242 |   -0.8739 |
+#> |.....................|    -1.092 |   0.01757 |...........|...........|
+#> |    U|     478.97142 |     91.38 |    -5.852 |   -0.9079 |    -2.178 |
+#> |.....................|    -4.833 |    0.3879 |     1.108 |   0.05700 |
+#> |.....................|    0.9011 |    0.7110 |     1.589 |    0.9537 |
+#> |.....................|    0.6749 |     2.288 |...........|...........|
+#> |    X|     478.97142 |     91.38 |  0.002874 |    0.2874 |    0.1133 |
+#> |.....................|  0.007961 |    0.5958 |     1.108 |   0.05700 |
+#> |.....................|    0.9011 |    0.7110 |     1.589 |    0.9537 |
+#> |.....................|    0.6749 |     2.288 |...........|...........|
+#> |    C| Central Diff. |    0.5593 |    0.1052 |    0.1640 |   0.01900 |
+#> |.....................|   0.04052 |    0.3419 |   -0.3227 |   -0.1646 |
+#> |.....................|   -0.1158 |   -0.1768 |    0.1839 |   -0.2151 |
+#> |.....................|  -0.04116 |   -0.1006 |...........|...........|
+#> |  151|     478.97143 |     1.004 |    -1.652 |   -0.9306 |   -0.9153 |
+#> |.....................|    -1.221 |    -1.039 |   -0.2041 |   -0.9252 |
+#> |.....................|   -0.6442 |    -1.086 |   -0.5243 |   -0.8738 |
+#> |.....................|    -1.092 |   0.01761 |...........|...........|
+#> |    U|     478.97143 |     91.36 |    -5.852 |   -0.9079 |    -2.178 |
+#> |.....................|    -4.833 |    0.3879 |     1.108 |   0.05700 |
+#> |.....................|    0.9011 |    0.7110 |     1.589 |    0.9538 |
+#> |.....................|    0.6749 |     2.288 |...........|...........|
+#> |    X|     478.97143 |     91.36 |  0.002874 |    0.2874 |    0.1133 |
+#> |.....................|  0.007961 |    0.5958 |     1.108 |   0.05700 |
+#> |.....................|    0.9011 |    0.7110 |     1.589 |    0.9538 |
+#> |.....................|    0.6749 |     2.288 |...........|...........|
+#> |  152|     478.97137 |     1.004 |    -1.652 |   -0.9305 |   -0.9153 |
+#> |.....................|    -1.221 |    -1.039 |   -0.2042 |   -0.9253 |
+#> |.....................|   -0.6442 |    -1.086 |   -0.5242 |   -0.8738 |
+#> |.....................|    -1.092 |   0.01759 |...........|...........|
+#> |    U|     478.97137 |     91.37 |    -5.852 |   -0.9079 |    -2.178 |
+#> |.....................|    -4.833 |    0.3879 |     1.108 |   0.05700 |
+#> |.....................|    0.9011 |    0.7110 |     1.589 |    0.9537 |
+#> |.....................|    0.6749 |     2.288 |...........|...........|
+#> |    X|     478.97137 |     91.37 |  0.002874 |    0.2874 |    0.1133 |
+#> |.....................|  0.007961 |    0.5958 |     1.108 |   0.05700 |
+#> |.....................|    0.9011 |    0.7110 |     1.589 |    0.9537 |
+#> |.....................|    0.6749 |     2.288 |...........|...........|
+#> |    C| Central Diff. |   -0.4660 |    0.1043 |    0.1497 |   0.02048 |
+#> |.....................|   0.04080 |    0.3434 |   -0.3050 |   -0.1804 |
+#> |.....................|   -0.2015 |    -1.954 |    0.1460 |   -0.2263 |
+#> |.....................|  -0.03239 |   -0.1147 |...........|...........|
+#> |  153|     478.97135 |     1.004 |    -1.652 |   -0.9305 |   -0.9153 |
+#> |.....................|    -1.221 |    -1.039 |   -0.2041 |   -0.9253 |
+#> |.....................|   -0.6441 |    -1.086 |   -0.5242 |   -0.8738 |
+#> |.....................|    -1.092 |   0.01760 |...........|...........|
+#> |    U|     478.97135 |     91.36 |    -5.852 |   -0.9079 |    -2.178 |
+#> |.....................|    -4.833 |    0.3879 |     1.108 |   0.05700 |
+#> |.....................|    0.9012 |    0.7110 |     1.589 |    0.9538 |
+#> |.....................|    0.6749 |     2.288 |...........|...........|
+#> |    X|     478.97135 |     91.36 |  0.002874 |    0.2874 |    0.1133 |
+#> |.....................|  0.007961 |    0.5958 |     1.108 |   0.05700 |
+#> |.....................|    0.9012 |    0.7110 |     1.589 |    0.9538 |
+#> |.....................|    0.6749 |     2.288 |...........|...........|
+#> |    C| Central Diff. |   -0.8144 |    0.1038 |    0.1446 |   0.02101 |
+#> |.....................|   0.04083 |    0.3431 |   -0.3133 |   -0.1844 |
+#> |.....................|  -0.05440 |    -1.096 |    0.1463 |   -0.2004 |
+#> |.....................|    0.2780 |   -0.1269 |...........|...........|
+#> |  154|     478.97125 |     1.004 |    -1.652 |   -0.9305 |   -0.9153 |
+#> |.....................|    -1.221 |    -1.039 |   -0.2041 |   -0.9252 |
+#> |.....................|   -0.6441 |    -1.086 |   -0.5243 |   -0.8738 |
+#> |.....................|    -1.092 |   0.01762 |...........|...........|
+#> |    U|     478.97125 |     91.37 |    -5.852 |   -0.9079 |    -2.178 |
+#> |.....................|    -4.833 |    0.3879 |     1.108 |   0.05700 |
+#> |.....................|    0.9012 |    0.7111 |     1.589 |    0.9538 |
+#> |.....................|    0.6749 |     2.288 |...........|...........|
+#> |    X|     478.97125 |     91.37 |  0.002874 |    0.2874 |    0.1133 |
+#> |.....................|  0.007961 |    0.5958 |     1.108 |   0.05700 |
+#> |.....................|    0.9012 |    0.7111 |     1.589 |    0.9538 |
+#> |.....................|    0.6749 |     2.288 |...........|...........|
+#> |    C| Central Diff. |   0.03985 |    0.1039 |    0.1540 |   0.01970 |
+#> |.....................|   0.04056 |    0.3392 |   -0.3415 |   -0.1666 |
+#> |.....................|   -0.1386 |   -0.1574 |   0.08901 |   -0.2003 |
+#> |.....................|  -0.04000 |   -0.1187 |...........|...........|
+#> |  155|     478.97118 |     1.004 |    -1.652 |   -0.9306 |   -0.9153 |
+#> |.....................|    -1.221 |    -1.039 |   -0.2040 |   -0.9252 |
+#> |.....................|   -0.6440 |    -1.086 |   -0.5243 |   -0.8737 |
+#> |.....................|    -1.092 |   0.01765 |...........|...........|
+#> |    U|     478.97118 |     91.37 |    -5.852 |   -0.9080 |    -2.178 |
+#> |.....................|    -4.833 |    0.3878 |     1.108 |   0.05700 |
+#> |.....................|    0.9012 |    0.7112 |     1.589 |    0.9538 |
+#> |.....................|    0.6749 |     2.288 |...........|...........|
+#> |    X|     478.97118 |     91.37 |  0.002874 |    0.2874 |    0.1133 |
+#> |.....................|  0.007961 |    0.5958 |     1.108 |   0.05700 |
+#> |.....................|    0.9012 |    0.7112 |     1.589 |    0.9538 |
+#> |.....................|    0.6749 |     2.288 |...........|...........|
+#> |    C| Central Diff. |  -0.05720 |    0.1036 |    0.1507 |   0.01972 |
+#> |.....................|   0.04048 |    0.3375 |   -0.2940 |   -0.1684 |
+#> |.....................|   -0.1979 |    -1.920 |    0.1339 |   -0.2027 |
+#> |.....................|  -0.04399 |   -0.1216 |...........|...........|
+#> |  156|     478.97118 |     1.004 |    -1.652 |   -0.9306 |   -0.9153 |
+#> |.....................|    -1.221 |    -1.039 |   -0.2040 |   -0.9252 |
+#> |.....................|   -0.6440 |    -1.086 |   -0.5243 |   -0.8737 |
+#> |.....................|    -1.092 |   0.01765 |...........|...........|
+#> |    U|     478.97118 |     91.37 |    -5.852 |   -0.9080 |    -2.178 |
+#> |.....................|    -4.833 |    0.3878 |     1.108 |   0.05700 |
+#> |.....................|    0.9012 |    0.7112 |     1.589 |    0.9538 |
+#> |.....................|    0.6749 |     2.288 |...........|...........|
+#> |    X|     478.97118 |     91.37 |  0.002874 |    0.2874 |    0.1133 |
+#> |.....................|  0.007961 |    0.5958 |     1.108 |   0.05700 |
+#> |.....................|    0.9012 |    0.7112 |     1.589 |    0.9538 |
+#> |.....................|    0.6749 |     2.288 |...........|...........|
+#> calculating covariance matrix
+#> done
+#> Calculating residuals/tables
+#> done
+#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))
+#> Warning: ETAs were reset to zero during optimization; (Can control by foceiControl(resetEtaP=.))
+#> Warning: last objective function was not at minimum, possible problems in optimization
+#> Warning: using R matrix to calculate covariance, can check sandwich or S matrix with $covRS and $covS
+#> Warning: gradient problems with initial estimate and covariance; see $scaleInfo
+
+# Two-component error by variable is possible with both estimation methods
+# Variance by variable is supported by 'saem' and 'focei'
+f_nlmixr_fomc_sfo_saem_obs_tc <- nlmixr(f_mmkin_tc["FOMC-SFO", ], est = "saem",
+  error_model = "obs_tc")
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#>  
+#> 1:    92.0624   -5.2854    0.1952    1.9494   -1.9431    2.8500    1.6150    0.7315    0.7220    0.4370    6.8425    0.4265    7.3797    0.5659
+#> 2:    92.7371   -5.3819    0.0345    2.0839   -2.0310    2.7075    1.5342    0.6949    0.8358    0.4151    7.2043    0.0003    8.1096    0.0003
+#> 3:    9.2941e+01  -5.7880e+00   1.0336e-01   2.5772e+00  -1.5152e+00   2.5721e+00   1.4575e+00   6.6018e-01   7.9403e-01   3.9439e-01   4.5749e+00   1.5986e-05   5.1354e+00   2.8796e-05
+#> 4:    92.6277   -5.8599    0.0858    2.5068   -1.3253    2.4435    1.3847    0.6272    0.7543    0.3747    3.4165    0.0001    3.9071    0.0016
+#> 5:    93.0289   -6.0258    0.0528    2.4932   -1.1961    2.3213    1.3154    0.5958    0.7166    0.3559    3.2552    0.0069    3.3744    0.0170
+#> 6:    93.2107   -6.2881    0.0143    2.4052   -1.1930    2.2053    2.2853    0.5660    0.6808    0.3381    2.8020    0.0086    3.1436    0.0256
+#> 7:    93.0563   -6.3624   -0.0104    2.3989   -1.1521    2.0950    2.4414    0.5377    0.6467    0.3212    2.6528    0.0209    2.8462    0.0289
+#> 8:    93.0567   -6.2699   -0.0303    2.3700   -1.0941    1.9903    2.5004    0.5204    0.6144    0.3052    2.3448    0.0314    2.5026    0.0349
+#> 9:    92.8366   -6.2013   -0.0507    2.3798   -1.0963    1.8907    2.6552    0.4943    0.5837    0.2899    2.2219    0.0368    2.2604    0.0448
+#> 10:    92.9069   -6.2499   -0.1116    2.3100   -1.0557    1.9625    3.9231    0.4696    0.5545    0.2754    2.0980    0.0359    2.1413    0.0325
+#> 11:    92.9942   -6.2134   -0.1037    2.3109   -1.0441    1.8643    3.7270    0.4755    0.5268    0.2616    1.9711    0.0372    1.9901    0.0355
+#> 12:    92.9262   -6.2511   -0.1133    2.2707   -1.0465    1.8430    4.3304    0.4697    0.5004    0.2486    1.8083    0.0346    1.9184    0.0356
+#> 13:    93.0761   -6.3559   -0.1106    2.2534   -1.0162    2.4826    5.2857    0.4685    0.4754    0.2361    1.7896    0.0331    1.9865    0.0342
+#> 14:    93.0929   -6.1852   -0.1058    2.2972   -1.0175    2.9964    5.0214    0.4451    0.4516    0.2243    1.8316    0.0309    1.9112    0.0348
+#> 15:    93.3343   -6.3408   -0.1025    2.2905   -0.9962    3.1132    4.9630    0.4594    0.4291    0.2131    1.8198    0.0338    1.9154    0.0372
+#> 16:    92.9959   -6.2227   -0.1016    2.2869   -1.0103    3.3338    4.7149    0.4598    0.4076    0.2025    1.8726    0.0327    1.9617    0.0361
+#> 17:    93.0394   -6.2586   -0.1027    2.2932   -0.9991    3.1671    4.8730    0.4591    0.3872    0.1923    1.8405    0.0336    2.0192    0.0242
+#> 18:    93.2374   -6.3410   -0.1110    2.2965   -0.9689    3.0087    5.4325    0.4632    0.3679    0.1827    1.9051    0.0351    1.9247    0.0277
+#> 19:    93.0557   -6.4503   -0.1011    2.2941   -0.9884    2.8583    6.2872    0.4742    0.3495    0.1736    1.8054    0.0345    1.9173    0.0260
+#> 20:    92.9280   -6.4945   -0.1018    2.2902   -0.9864    3.5934    6.8737    0.4751    0.3320    0.1649    1.7097    0.0372    1.9483    0.0225
+#> 21:    93.2023   -6.3418   -0.1033    2.2846   -0.9863    3.4138    6.5300    0.4710    0.3154    0.1567    1.7507    0.0318    1.9030    0.0249
+#> 22:    93.5494   -6.1985   -0.1078    2.2991   -1.0171    3.2431    6.2035    0.4475    0.2996    0.1488    1.7370    0.0342    1.8124    0.0282
+#> 23:    93.3588   -6.2577   -0.1084    2.2654   -0.9956    3.0809    5.8933    0.4393    0.2869    0.1481    1.6928    0.0380    1.8288    0.0254
+#> 24:    93.5705   -6.4876   -0.1083    2.2606   -1.0062    3.7095    6.7801    0.4459    0.2726    0.1684    1.7001    0.0377    1.9012    0.0249
+#> 25:    93.9726   -6.5638   -0.1239    2.2374   -1.0071    5.1357    6.6571    0.4608    0.2755    0.1600    1.6615    0.0382    1.8846    0.0213
+#> 26:    93.8894   -6.5073   -0.1120    2.2645   -1.0327    4.8789    6.3243    0.4473    0.3014    0.1520    1.7152    0.0340    1.8990    0.0254
+#> 27:    94.5348   -6.3868   -0.0891    2.3139   -1.0361    5.3856    6.0081    0.4250    0.3080    0.1453    1.7028    0.0385    1.7853    0.0304
+#> 28:    93.9221   -6.1747   -0.1039    2.3013   -1.0087    5.1163    5.7077    0.4214    0.3136    0.1634    1.6823    0.0340    1.7487    0.0353
+#> 29:    93.4946   -6.0264   -0.0940    2.3124   -1.0166    5.3744    5.4223    0.4404    0.3114    0.1813    1.6310    0.0370    1.7646    0.0367
+#> 30:    93.9287   -5.9114   -0.0967    2.3078   -1.0090    5.2017    5.1512    0.4381    0.3048    0.2091    1.5825    0.0393    1.7431    0.0312
+#> 31:    93.7065   -6.0174   -0.0928    2.2917   -0.9880    5.1935    4.8936    0.4352    0.3109    0.1986    1.5876    0.0392    1.8465    0.0280
+#> 32:    93.7675   -5.6444   -0.0918    2.3145   -0.9664    4.9338    4.6489    0.4332    0.3090    0.1918    1.6874    0.0332    1.7501    0.0331
+#> 33:    94.2589   -5.7637   -0.0865    2.3130   -0.9733    4.6871    4.4165    0.4235    0.2935    0.1865    1.7173    0.0355    1.7365    0.0334
+#> 34:    94.0788   -5.7432   -0.1022    2.3049   -0.9681    4.4528    4.1957    0.4319    0.2962    0.1772    1.6357    0.0361    1.4755    0.0574
+#> 35:    94.0798   -5.8549   -0.0929    2.2856   -0.9849    4.2301    3.9859    0.4391    0.2937    0.1734    1.6460    0.0275    1.7739    0.0379
+#> 36:    93.9997   -5.8708   -0.0890    2.2870   -1.0134    4.0186    3.7866    0.4268    0.2819    0.1840    1.5830    0.0258    1.8922    0.0320
+#> 37:    93.8186   -5.8979   -0.0973    2.2807   -1.0197    3.8177    3.5973    0.4280    0.2778    0.1799    1.5783    0.0282    1.7697    0.0404
+#> 38:    94.0728   -5.9601   -0.0936    2.3011   -1.0381    3.6268    3.4174    0.4186    0.2944    0.1864    1.5780    0.0294    1.5210    0.0558
+#> 39:    94.0504   -5.8302   -0.0995    2.2847   -1.0418    3.4455    3.2465    0.4240    0.2796    0.1771    1.6888    0.0242    1.7744    0.0366
+#> 40:    93.8918   -5.9418   -0.0988    2.2925   -1.0613    3.2732    3.0842    0.4144    0.2672    0.1837    1.7275    0.0232    1.7840    0.0357
+#> 41:    93.7961   -6.0741   -0.0896    2.2932   -1.0359    3.1095    3.2890    0.4236    0.2606    0.1782    1.7591    0.0212    1.8920    0.0273
+#> 42:    93.9458   -6.0319   -0.0909    2.3114   -1.0281    3.0544    3.1246    0.4196    0.2598    0.1839    1.6854    0.0310    1.7586    0.0308
+#> 43:    93.7623   -6.0165   -0.1056    2.2837   -1.0378    3.9092    3.2100    0.4298    0.2468    0.1747    1.7064    0.0286    1.6676    0.0397
+#> 44:    93.4300   -5.9019   -0.1114    2.2716   -1.0167    4.4100    3.0495    0.4476    0.2345    0.1687    1.7989    0.0253    1.7741    0.0299
+#> 45:    93.3475   -5.9962   -0.1231    2.2546   -1.0007    6.4879    3.3965    0.4528    0.2452    0.1602    1.7283    0.0276    1.7219    0.0379
+#> 46:    93.3100   -6.0073   -0.1255    2.2483   -0.9962    6.6009    3.5942    0.4520    0.2533    0.1568    1.6991    0.0258    1.1783    0.0706
+#> 47:    93.4422   -5.8442   -0.1286    2.2578   -0.9819    6.2709    3.4145    0.4492    0.2637    0.1694    1.6754    0.0317    1.3442    0.0599
+#> 48:    93.0996   -5.5881   -0.1307    2.2541   -0.9882    5.9573    3.2438    0.4480    0.2665    0.1695    1.7040    0.0285    1.6825    0.0426
+#> 49:    93.3649   -5.8011   -0.1260    2.2595   -0.9704    5.7230    3.0816    0.4399    0.2646    0.1715    1.6544    0.0297    1.6414    0.0418
+#> 50:    93.9331   -5.8731   -0.1195    2.2615   -0.9837    5.4368    2.9275    0.4453    0.2735    0.1940    1.6316    0.0289    1.6885    0.0392
+#> 51:    93.6092   -5.8721   -0.1237    2.2599   -1.0015    5.1650    2.7811    0.4413    0.2865    0.1939    1.6492    0.0272    1.7686    0.0358
+#> 52:    93.3008   -5.9775   -0.1277    2.2628   -0.9962    4.9067    3.1139    0.4438    0.2946    0.1963    1.5642    0.0337    1.7391    0.0335
+#> 53:    93.6347   -6.0805   -0.1189    2.2663   -1.0177    4.6614    3.5169    0.4335    0.2962    0.2043    1.5275    0.0343    1.7417    0.0366
+#> 54:    93.5781   -6.0412   -0.1166    2.2573   -1.0015    4.4283    3.3411    0.4395    0.2912    0.2080    1.5464    0.0346    1.7584    0.0359
+#> 55:    93.9675   -6.0867   -0.0952    2.2970   -0.9987    4.2069    3.6762    0.4550    0.2780    0.1988    1.5138    0.0405    1.6251    0.0472
+#> 56:    94.4069   -6.1375   -0.0943    2.2975   -1.0190    3.9966    4.2280    0.4550    0.2806    0.1945    1.5294    0.0425    1.6443    0.0468
+#> 57:    93.8076   -6.1618   -0.0936    2.2687   -1.0237    3.7967    4.3085    0.4524    0.2666    0.1897    1.5227    0.0414    1.6955    0.0438
+#> 58:    93.9188   -6.2272   -0.0947    2.2767   -1.0408    3.6069    4.6707    0.4536    0.2676    0.1873    1.5201    0.0425    1.5336    0.0550
+#> 59:    93.9572   -6.3460   -0.1074    2.2746   -1.0069    3.4266    5.8058    0.4614    0.2718    0.1919    1.5533    0.0417    1.6227    0.0460
+#> 60:    93.5430   -6.1622   -0.1048    2.2861   -0.9959    3.2552    5.5155    0.4535    0.2848    0.1823    1.4745    0.0431    1.5242    0.0522
+#> 61:    93.8016   -6.4079   -0.1065    2.2897   -1.0325    3.0925    5.9252    0.4583    0.2901    0.1732    1.5364    0.0365    1.4623    0.0550
+#> 62:    93.4249   -6.2284   -0.0967    2.3126   -1.0208    2.9378    5.6289    0.4429    0.2756    0.1645    1.6111    0.0325    1.3996    0.0618
+#> 63:    93.2335   -6.0996   -0.1051    2.3047   -0.9976    2.7909    5.3475    0.4292    0.2719    0.1633    1.6010    0.0326    1.5115    0.0494
+#> 64:    92.7091   -6.1109   -0.1041    2.3032   -0.9746    3.2610    5.0801    0.4301    0.2793    0.1751    1.5979    0.0302    1.3867    0.0575
+#> 65:    92.6059   -6.0049   -0.1077    2.3062   -0.9853    3.0979    4.8261    0.4316    0.2826    0.1714    1.6357    0.0272    1.3931    0.0543
+#> 66:    92.7778   -6.0856   -0.1040    2.3057   -0.9828    2.9430    4.5848    0.4362    0.2888    0.1628    1.6126    0.0316    1.4340    0.0505
+#> 67:    93.0325   -6.1775   -0.1085    2.3122   -0.9714    2.7959    4.3790    0.4464    0.2843    0.1547    1.6090    0.0354    1.4966    0.0448
+#> 68:    92.8987   -5.8741   -0.1089    2.3184   -0.9567    2.6561    4.1601    0.4389    0.2866    0.1470    1.5888    0.0347    1.4492    0.0507
+#> 69:    92.7300   -6.0473   -0.1070    2.3082   -0.9739    2.5233    4.0183    0.4371    0.3158    0.1527    1.5904    0.0298    1.5387    0.0477
+#> 70:    92.5285   -6.0962   -0.1115    2.3179   -0.9785    2.4856    4.0612    0.4380    0.3059    0.1504    1.5237    0.0402    1.4541    0.0463
+#> 71:    92.3975   -6.2090   -0.1269    2.2819   -0.9713    2.3613    4.3811    0.4173    0.2906    0.1520    1.5388    0.0316    1.3713    0.0584
+#> 72:    92.1593   -6.2214   -0.1217    2.2950   -0.9481    2.2433    5.1205    0.4227    0.2760    0.1605    1.5431    0.0312    1.5797    0.0459
+#> 73:    92.1195   -6.6667   -0.1244    2.3076   -0.9642    2.1311    7.6538    0.4124    0.2622    0.1525    1.4505    0.0375    1.2810    0.0595
+#> 74:    92.2191   -6.6665   -0.1278    2.2989   -0.9703    2.0246    7.2711    0.4098    0.2491    0.1666    1.4309    0.0384    1.2717    0.0638
+#> 75:    92.4656   -6.8881   -0.1274    2.3011   -0.9595    1.9233    8.3835    0.4147    0.2367    0.1656    1.4181    0.0424    1.2498    0.0620
+#> 76:    92.4593   -6.2323   -0.1203    2.2912   -0.9799    1.8272    7.9643    0.3967    0.2301    0.1596    1.5448    0.0336    1.6758    0.0359
+#> 77:    92.4501   -6.1123   -0.1219    2.2889   -0.9426    1.7358    7.5661    0.4049    0.2299    0.1594    1.5380    0.0327    1.6947    0.0364
+#> 78:    92.5059   -6.0339   -0.1198    2.2985   -0.9544    1.6490    7.1878    0.4007    0.2422    0.1568    1.5722    0.0302    1.5665    0.0415
+#> 79:    92.4302   -6.6428   -0.1141    2.3119   -0.9421    1.5666    9.0889    0.3986    0.2340    0.1489    1.5029    0.0306    1.1894    0.0638
+#> 80:    92.5305   -6.3036   -0.1127    2.3099   -0.9406    1.9062    8.6344    0.4091    0.2327    0.1648    1.5558    0.0308    1.0136    0.0749
+#> 81:    92.6652   -6.0832   -0.1167    2.2994   -0.9552    2.3641    8.2027    0.4142    0.2348    0.1566    1.6232    0.0300    1.1320    0.0712
+#> 82:    92.5109   -6.1524   -0.1100    2.3037   -0.9686    2.2459    7.7926    0.4145    0.2381    0.1695    1.6128    0.0306    1.6145    0.0413
+#> 83:    92.6455   -6.3979   -0.1059    2.3245   -0.9573    2.1336    8.1077    0.4060    0.2348    0.1667    1.6039    0.0304    1.6251    0.0419
+#> 84:    92.5768   -6.3469   -0.0979    2.3177   -0.9346    2.0269    8.2125    0.4141    0.2439    0.1720    1.6334    0.0302    1.5803    0.0450
+#> 85:    92.7920   -6.3536   -0.0969    2.3363   -0.9389    1.9256    8.1820    0.4035    0.2512    0.1713    1.5815    0.0338    1.1193    0.0719
+#> 86:    92.8571   -6.2567   -0.0911    2.3426   -0.9633    1.8293    8.1211    0.4008    0.2659    0.1627    1.5840    0.0356    1.2425    0.0639
+#> 87:    92.9101   -6.1557   -0.0937    2.3326   -0.9624    1.7378    7.7151    0.3950    0.2839    0.1546    1.6017    0.0354    1.0600    0.0766
+#> 88:    92.7649   -6.2151   -0.0881    2.3275   -0.9967    1.6509    7.3293    0.4046    0.2697    0.1469    1.6092    0.0302    1.1839    0.0693
+#> 89:    92.9350   -5.9222   -0.0903    2.3372   -0.9612    1.5684    6.9628    0.4058    0.2818    0.1395    1.5957    0.0335    1.5450    0.0444
+#> 90:    92.7895   -5.9348   -0.0890    2.3457   -0.9601    1.4900    6.6147    0.4070    0.2705    0.1430    1.5716    0.0378    1.4918    0.0439
+#> 91:    93.0113   -5.9302   -0.0997    2.3316   -0.9489    1.4155    6.2840    0.4424    0.2929    0.1410    1.5582    0.0377    1.2459    0.0582
+#> 92:    92.8603   -6.3366   -0.0918    2.3356   -0.9938    1.3447    5.9698    0.4287    0.2929    0.1531    1.4906    0.0398    1.2421    0.0605
+#> 93:    92.8094   -6.1097   -0.0953    2.3382   -0.9996    1.2775    5.6713    0.4309    0.2783    0.1597    1.4317    0.0468    1.2694    0.0584
+#> 94:    92.7100   -6.1043   -0.0909    2.3287   -0.9928    1.3828    5.3877    0.4337    0.2698    0.1517    1.4173    0.0489    1.4335    0.0476
+#> 95:    92.2055   -6.1792   -0.0889    2.3553   -0.9983    1.3137    5.1183    0.4209    0.3273    0.1566    1.4865    0.0417    1.2485    0.0681
+#> 96:    92.3225   -6.2710   -0.0811    2.3734   -1.0043    1.3428    4.8624    0.4121    0.3110    0.1532    1.5817    0.0374    1.5209    0.0532
+#> 97:    92.2983   -6.3023   -0.0776    2.3615   -0.9801    1.2757    4.6193    0.4221    0.3018    0.1455    1.5971    0.0337    1.2137    0.0719
+#> 98:    92.1433   -6.3114   -0.0935    2.3269   -0.9866    1.2227    4.8121    0.4327    0.2907    0.1694    1.5524    0.0303    1.1779    0.0727
+#> 99:    92.1631   -6.3090   -0.0908    2.3197   -0.9891    1.1615    4.9271    0.4169    0.2859    0.1736    1.5303    0.0334    1.6227    0.0511
+#> 100:    92.1185   -6.3603   -0.0950    2.3280   -1.0209    1.1035    5.0957    0.4213    0.2924    0.1817    1.5991    0.0330    1.7197    0.0445
+#> 101:    92.3964   -6.0447   -0.0898    2.3347   -1.0164    1.0483    4.8409    0.4251    0.2778    0.1727    1.5708    0.0422    1.6197    0.0461
+#> 102:    92.6597   -6.2545   -0.0954    2.3264   -1.0206    0.9959    4.5989    0.4218    0.2736    0.1640    1.5853    0.0408    1.5912    0.0455
+#> 103:    92.7866   -6.3292   -0.0933    2.3148   -1.0013    0.9461    4.8935    0.4234    0.2599    0.1688    1.6299    0.0399    1.5921    0.0445
+#> 104:    92.8098   -6.2608   -0.1009    2.3014   -0.9947    0.8988    4.7750    0.4306    0.2548    0.1813    1.6363    0.0378    1.6713    0.0427
+#> 105:    92.8300   -5.9827   -0.1028    2.3155   -0.9896    0.8538    4.5362    0.4339    0.2664    0.1722    1.6079    0.0397    1.3691    0.0573
+#> 106:    92.8218   -6.1138   -0.1024    2.3462   -0.9750    0.8299    4.3094    0.4494    0.2530    0.1636    1.5761    0.0389    1.2857    0.0595
+#> 107:    92.9304   -6.0063   -0.1002    2.3269   -0.9778    0.7884    4.0939    0.4600    0.2404    0.1620    1.6499    0.0373    1.2101    0.0675
+#> 108:    92.9072   -6.0928   -0.0991    2.3183   -0.9732    0.7489    4.4394    0.4584    0.2518    0.1539    1.6509    0.0332    1.2346    0.0670
+#> 109:    92.7504   -6.1545   -0.0862    2.3423   -0.9618    0.7115    4.7501    0.4371    0.2766    0.1465    1.5755    0.0349    1.1552    0.0701
+#> 110:    92.9277   -6.3786   -0.0904    2.3468   -0.9402    0.6759    5.8620    0.4328    0.2821    0.1703    1.4661    0.0439    1.3292    0.0609
+#> 111:    92.8023   -5.8686   -0.0886    2.3653   -0.9417    0.7635    5.5689    0.4288    0.2680    0.1618    1.4278    0.0502    1.4715    0.0468
+#> 112:    92.9411   -5.8095   -0.0883    2.3625   -0.9322    0.8592    5.2905    0.4562    0.2586    0.1537    1.3920    0.0513    1.1766    0.0648
+#> 113:    92.9845   -6.0499   -0.0761    2.3626   -0.9533    0.8163    5.0259    0.4403    0.2595    0.1532    1.4306    0.0450    1.1416    0.0645
+#> 114:    92.7735   -6.0605   -0.0694    2.3497   -0.9646    0.7754    4.7746    0.4394    0.2682    0.1576    1.4866    0.0344    1.1127    0.0745
+#> 115:    92.7048   -6.1327   -0.0702    2.3427   -0.9910    0.7367    4.5359    0.4257    0.2736    0.1497    1.5045    0.0413    1.2783    0.0677
+#> 116:    92.7131   -6.0115   -0.0751    2.3370   -0.9899    0.6998    4.3091    0.4187    0.2638    0.1422    1.6036    0.0325    1.1109    0.0748
+#> 117:    92.7720   -5.9163   -0.0709    2.3503   -0.9566    0.6648    4.0937    0.4185    0.2555    0.1417    1.6016    0.0297    1.0778    0.0774
+#> 118:    92.9182   -5.9312   -0.0812    2.3436   -0.9731    0.6316    3.8890    0.4084    0.2667    0.1400    1.5698    0.0320    1.2364    0.0665
+#> 119:    92.9546   -5.9622   -0.0870    2.3330   -0.9934    0.6000    3.6945    0.4035    0.2867    0.1486    1.5364    0.0343    1.5892    0.0489
+#> 120:    92.9168   -6.0966   -0.0905    2.3301   -1.0045    0.5700    3.6677    0.3988    0.2871    0.1567    1.5378    0.0349    1.0886    0.0796
+#> 121:    92.7767   -6.1038   -0.0802    2.3396   -0.9815    0.5981    4.3032    0.3803    0.2884    0.1684    1.4788    0.0335    1.0886    0.0796
+#> 122:    92.8439   -6.2425   -0.0799    2.3323   -0.9987    0.6537    4.5745    0.3884    0.2834    0.1600    1.4786    0.0346    1.2146    0.0682
+#> 123:    92.8219   -5.7869   -0.0872    2.3478   -0.9619    0.7886    4.3458    0.3951    0.2887    0.1658    1.4827    0.0341    1.3911    0.0559
+#> 124:    92.7930   -5.7551   -0.0819    2.3559   -0.9809    0.8922    4.1285    0.3907    0.2972    0.1575    1.5329    0.0330    1.3824    0.0594
+#> 125:    92.7488   -5.9406   -0.0819    2.3550   -0.9797    0.8476    3.9221    0.3907    0.2996    0.1733    1.5096    0.0333    1.3148    0.0667
+#> 126:    92.7926   -5.7106   -0.0824    2.3560   -0.9653    0.8052    3.7260    0.3918    0.3018    0.1854    1.4237    0.0381    1.2607    0.0639
+#> 127:    92.9153   -5.6682   -0.0717    2.3654   -0.9645    0.7649    3.5397    0.3722    0.2948    0.1784    1.4679    0.0415    1.2310    0.0695
+#> 128:    92.8827   -5.7984   -0.0783    2.3813   -1.0047    1.1012    3.3627    0.3802    0.2997    0.1694    1.5187    0.0442    1.2884    0.0649
+#> 129:    92.8727   -5.7191   -0.0785    2.3426   -0.9857    1.0461    3.1946    0.3784    0.2984    0.1610    1.4757    0.0398    1.1695    0.0775
+#> 130:    92.8689   -5.8036   -0.0935    2.3123   -0.9783    0.9938    3.0348    0.4184    0.2980    0.1723    1.5143    0.0319    1.2298    0.0738
+#> 131:    92.8733   -5.6707   -0.0988    2.3045   -0.9936    1.3313    2.8831    0.4277    0.2831    0.1816    1.5919    0.0329    1.5260    0.0533
+#> 132:    92.5761   -5.7773   -0.0925    2.3211   -0.9661    1.2647    2.7389    0.4216    0.2815    0.1995    1.5306    0.0321    1.5863    0.0520
+#> 133:    92.4512   -5.7800   -0.0920    2.3269   -0.9625    1.2015    2.6020    0.4242    0.2674    0.1955    1.5669    0.0288    1.4087    0.0606
+#> 134:    92.5625   -5.7968   -0.0965    2.3271   -0.9728    1.1414    2.4719    0.4201    0.2753    0.1945    1.5935    0.0311    1.5348    0.0534
+#> 135:    92.3448   -5.6624   -0.0961    2.3303   -0.9600    1.0843    2.3483    0.4193    0.2728    0.1983    1.6245    0.0305    1.6281    0.0506
+#> 136:    92.3407   -5.7523   -0.0932    2.3208   -0.9897    1.0301    2.3267    0.4107    0.2668    0.1884    1.5933    0.0358    1.2970    0.0657
+#> 137:    92.3940   -6.0148   -0.1046    2.2981   -0.9866    0.9786    3.1382    0.4166    0.3012    0.1790    1.5077    0.0385    1.1944    0.0723
+#> 138:    92.3556   -5.9912   -0.1039    2.2969   -0.9920    0.9297    3.2144    0.4208    0.3039    0.1703    1.5042    0.0378    1.2588    0.0717
+#> 139:    92.5548   -5.9253   -0.1177    2.2723   -1.0079    0.8832    3.2648    0.4049    0.3263    0.1618    1.5558    0.0382    1.2673    0.0698
+#> 140:    92.6546   -6.0596   -0.1368    2.2659   -0.9922    0.8390    3.3893    0.3846    0.3100    0.1537    1.5475    0.0355    1.3190    0.0629
+#> 141:    92.6661   -5.9744   -0.1379    2.2793   -0.9754    0.8287    3.2725    0.3800    0.3178    0.1528    1.5076    0.0361    1.4087    0.0540
+#> 142:    92.5681   -5.7650   -0.1033    2.3249   -0.9613    0.7872    3.1089    0.3610    0.3564    0.1701    1.4733    0.0332    1.2603    0.0720
+#> 143:    92.4184   -5.6070   -0.1033    2.3520   -0.9764    0.7479    2.9534    0.3591    0.3758    0.1674    1.5420    0.0390    1.3280    0.0614
+#> 144:    92.5354   -5.6144   -0.0978    2.3801   -0.9425    0.7105    2.8058    0.3538    0.3606    0.1722    1.4884    0.0400    1.3455    0.0620
+#> 145:    92.4207   -5.6541   -0.0746    2.3873   -0.9633    0.6750    2.6655    0.3361    0.3426    0.1718    1.4981    0.0416    1.2440    0.0685
+#> 146:    92.3058   -5.6608   -0.0731    2.3755   -0.9732    0.6412    2.5322    0.3193    0.3304    0.1719    1.6391    0.0348    1.1788    0.0743
+#> 147:    92.4067   -5.7615   -0.0746    2.3775   -0.9903    0.6091    2.4056    0.3148    0.3311    0.1709    1.6695    0.0314    1.2931    0.0676
+#> 148:    92.3739   -5.8812   -0.0820    2.3644   -0.9823    0.5787    2.7260    0.3332    0.3296    0.1794    1.6168    0.0303    1.3206    0.0670
+#> 149:    92.4456   -5.8277   -0.0921    2.3508   -0.9924    0.5498    2.8750    0.3368    0.3305    0.1917    1.5602    0.0302    1.3622    0.0608
+#> 150:    92.5049   -5.7964   -0.1003    2.3353   -0.9809    0.5223    2.7312    0.3291    0.3634    0.1874    1.5035    0.0301    1.4002    0.0615
+#> 151:    92.3292   -6.0377   -0.1039    2.3301   -0.9866    0.4962    3.3342    0.3348    0.3626    0.1780    1.4819    0.0298    1.3217    0.0672
+#> 152:    92.3747   -6.0460   -0.1023    2.3154   -1.0242    0.5079    3.4530    0.3371    0.3518    0.1674    1.6034    0.0296    1.2304    0.0749
+#> 153:    92.3909   -5.8707   -0.1008    2.3284   -0.9897    0.5623    2.8180    0.3480    0.3792    0.1749    1.4953    0.0291    1.3442    0.0677
+#> 154:    92.2532   -5.9313   -0.0991    2.3232   -0.9839    0.5340    3.3946    0.3502    0.3723    0.1729    1.4837    0.0280    1.1452    0.0776
+#> 155:    92.1782   -6.1012   -0.0988    2.3339   -0.9600    0.3900    3.9676    0.3593    0.3704    0.1531    1.4927    0.0286    1.1848    0.0730
+#> 156:    92.2225   -5.8387   -0.0991    2.3393   -0.9459    0.3294    3.0685    0.3598    0.3808    0.1568    1.5540    0.0318    1.3419    0.0671
+#> 157:    92.2411   -5.7045   -0.1038    2.3578   -0.9252    0.2797    2.5238    0.3716    0.3579    0.1653    1.4704    0.0373    1.1959    0.0686
+#> 158:    92.2865   -5.6692   -0.1009    2.3771   -0.9532    0.2840    2.4144    0.3592    0.3610    0.1641    1.5065    0.0389    1.1780    0.0674
+#> 159:    92.2771   -5.7526   -0.0782    2.3632   -0.9771    0.2996    2.7295    0.3357    0.3779    0.1606    1.5818    0.0366    1.1512    0.0781
+#> 160:    92.3400   -5.8039   -0.0811    2.3615   -0.9453    0.2707    2.7305    0.3373    0.3834    0.1528    1.4765    0.0370    1.1427    0.0756
+#> 161:    92.4180   -5.7448   -0.0961    2.3653   -0.9508    0.2965    2.6051    0.3666    0.3833    0.1647    1.4581    0.0364    0.9817    0.0827
+#> 162:    92.4487   -5.8952   -0.0889    2.3460   -0.9646    0.2370    3.1413    0.3460    0.3801    0.1571    1.4528    0.0346    1.0006    0.0798
+#> 163:    92.5251   -5.8567   -0.0987    2.3342   -0.9615    0.1453    2.9917    0.3535    0.3735    0.1452    1.4521    0.0330    1.0498    0.0766
+#> 164:    92.5949   -6.1580   -0.1008    2.3332   -0.9749    0.1095    4.1797    0.3586    0.3767    0.1355    1.4659    0.0310    1.0218    0.0797
+#> 165:    92.5794   -6.0542   -0.1001    2.3321   -0.9795    0.1332    4.2924    0.3588    0.3752    0.1386    1.4858    0.0313    0.9836    0.0812
+#> 166:    92.6686   -6.0065   -0.0960    2.3623   -0.9532    0.1465    4.0810    0.3439    0.3683    0.1647    1.3929    0.0372    0.9354    0.0837
+#> 167:    92.7086   -6.2096   -0.0895    2.3656   -0.9552    0.1938    4.6857    0.3325    0.3519    0.1681    1.4281    0.0362    1.0329    0.0784
+#> 168:    92.6096   -6.0709   -0.0880    2.3595   -0.9474    0.2141    4.1277    0.3379    0.3527    0.1620    1.4264    0.0347    0.9627    0.0836
+#> 169:    92.5365   -5.9418   -0.0919    2.3546   -0.9575    0.3620    3.7767    0.3489    0.3589    0.1609    1.4761    0.0360    1.1348    0.0745
+#> 170:    92.6270   -5.8404   -0.0935    2.3562   -0.9517    0.3312    3.2506    0.3552    0.3607    0.1560    1.4506    0.0383    1.0731    0.0722
+#> 171:    92.5606   -5.9213   -0.0899    2.3513   -0.9554    0.4399    3.5587    0.3599    0.3646    0.1385    1.4779    0.0349    0.9844    0.0775
+#> 172:    92.3630   -5.7066   -0.0765    2.3798   -0.9314    0.5208    2.5578    0.3458    0.3657    0.1547    1.4900    0.0348    1.0485    0.0765
+#> 173:    92.2527   -5.5811   -0.0713    2.4173   -0.9221    0.8674    2.2100    0.3448    0.3370    0.1513    1.5403    0.0445    1.4403    0.0518
+#> 174:    92.3852   -5.5348   -0.0712    2.4066   -0.9033    0.7543    2.1568    0.3457    0.3324    0.1482    1.5322    0.0407    1.2744    0.0623
+#> 175:    92.4798   -5.5494   -0.0712    2.4004   -0.9100    0.5675    2.0147    0.3457    0.3333    0.1629    1.5229    0.0383    1.2917    0.0655
+#> 176:    92.5881   -5.5613   -0.0675    2.4180   -0.9188    0.4011    2.0736    0.3413    0.3487    0.1781    1.5149    0.0389    1.1499    0.0669
+#> 177:    92.6015   -5.4951   -0.0494    2.4324   -0.9525    0.4992    1.9009    0.3629    0.3353    0.1919    1.4881    0.0393    1.2289    0.0650
+#> 178:    92.6317   -5.4943   -0.0505    2.4373   -0.9298    0.5087    1.6116    0.3631    0.3324    0.1906    1.4475    0.0454    1.0764    0.0701
+#> 179:    92.7043   -5.5326   -0.0419    2.4386   -0.9376    0.4350    1.8241    0.3577    0.3757    0.1991    1.4445    0.0424    0.9626    0.0833
+#> 180:    92.7457   -5.5591   -0.0371    2.4684   -0.9450    0.3973    1.7797    0.3507    0.3707    0.1944    1.4392    0.0415    1.0784    0.0764
+#> 181:    92.6287   -5.5741   -0.0368    2.4489   -0.9459    0.4744    1.8016    0.3502    0.3544    0.1970    1.4317    0.0392    0.9225    0.0848
+#> 182:    92.6121   -5.5593   -0.0316    2.4610   -0.9345    0.6054    1.9206    0.3492    0.3538    0.1855    1.4410    0.0367    0.8977    0.0878
+#> 183:    92.4258   -5.4737   -0.0393    2.4592   -0.9319    0.8062    1.7845    0.3528    0.3544    0.1649    1.4545    0.0409    1.0723    0.0751
+#> 184:    92.3939   -5.5961   -0.0479    2.4268   -0.9435    1.0246    2.2534    0.3497    0.3289    0.1363    1.5022    0.0370    1.1058    0.0729
+#> 185:    92.4673   -5.5415   -0.0525    2.4157   -0.9058    0.8296    2.2848    0.3406    0.3314    0.1706    1.4935    0.0367    1.1362    0.0722
+#> 186:    92.4122   -5.6594   -0.0574    2.4466   -0.9430    0.9133    2.3350    0.3327    0.3596    0.1506    1.4450    0.0404    1.2273    0.0629
+#> 187:    92.5416   -5.5472   -0.0521    2.4393   -0.9261    0.9731    1.9228    0.3208    0.3673    0.1421    1.4890    0.0409    1.2553    0.0626
+#> 188:    92.5502   -5.6425   -0.0591    2.4345   -0.9246    0.9315    2.2041    0.3184    0.3639    0.1319    1.4896    0.0392    1.0986    0.0684
+#> 189:    92.4180   -5.6737   -0.0504    2.4448   -0.9191    0.9006    2.4647    0.3102    0.3743    0.1648    1.4649    0.0397    1.1320    0.0742
+#> 190:    92.5821   -5.5823   -0.0363    2.4588   -0.9205    0.9862    2.2692    0.2820    0.4087    0.1459    1.3938    0.0412    0.9562    0.0815
+#> 191:    92.3708   -5.5825   -0.0418    2.4621   -0.9231    0.9867    2.4743    0.2890    0.4196    0.1445    1.4619    0.0403    0.9630    0.0811
+#> 192:    92.2628   -5.5337   -0.0366    2.4392   -0.9194    0.6944    2.2771    0.2909    0.4169    0.1279    1.4745    0.0363    0.8601    0.0892
+#> 193:    92.4854   -5.6303   -0.0352    2.4484   -0.9316    0.4403    2.3253    0.2928    0.4109    0.1282    1.4768    0.0399    0.8886    0.0871
+#> 194:    92.4900   -5.5824   -0.0372    2.4648   -0.9451    0.4891    2.6428    0.2899    0.4160    0.1331    1.5124    0.0412    0.9340    0.0853
+#> 195:    92.4685   -5.7658   -0.0357    2.4659   -0.9217    0.4549    3.3767    0.2921    0.4171    0.1552    1.5062    0.0396    1.0336    0.0817
+#> 196:    92.4125   -5.7544   -0.0255    2.4834   -0.9230    0.4146    3.1963    0.3000    0.4369    0.1501    1.4560    0.0430    0.9942    0.0813
+#> 197:    92.3284   -5.9347   -0.0305    2.4860   -0.9448    0.4115    3.5642    0.3129    0.4314    0.1740    1.3441    0.0473    1.0954    0.0723
+#> 198:    92.3428   -5.9255   -0.0266    2.4822   -0.9463    0.3258    3.4818    0.3185    0.4163    0.1716    1.3868    0.0447    0.9452    0.0788
+#> 199:    92.1692   -6.0683   -0.0227    2.4860   -0.9495    0.2685    4.4044    0.3149    0.4064    0.1824    1.3558    0.0478    1.0294    0.0749
+#> 200:    92.0965   -6.1541   -0.0261    2.4793   -0.9288    0.2210    4.4026    0.3265    0.4200    0.1772    1.3348    0.0441    1.0018    0.0761
+#> 201:    92.1362   -6.1170   -0.0244    2.4776   -0.9237    0.1801    4.4160    0.3276    0.4303    0.1732    1.3479    0.0418    0.9419    0.0809
+#> 202:    92.1114   -6.0898   -0.0233    2.4862   -0.9253    0.1506    4.4494    0.3286    0.4305    0.1656    1.3473    0.0440    0.9394    0.0802
+#> 203:    92.0893   -6.1307   -0.0233    2.4894   -0.9258    0.1510    4.7958    0.3310    0.4233    0.1673    1.3396    0.0457    0.9617    0.0788
+#> 204:    92.0870   -6.0914   -0.0230    2.4867   -0.9234    0.1589    4.6265    0.3316    0.4237    0.1643    1.3478    0.0456    0.9509    0.0793
+#> 205:    92.0800   -6.0960   -0.0228    2.4867   -0.9256    0.1613    4.6319    0.3321    0.4226    0.1623    1.3399    0.0463    0.9547    0.0789
+#> 206:    92.1037   -6.0869   -0.0238    2.4833   -0.9264    0.1648    4.5547    0.3341    0.4186    0.1606    1.3351    0.0466    0.9453    0.0797
+#> 207:    92.1212   -6.0561   -0.0247    2.4821   -0.9299    0.1677    4.3736    0.3363    0.4150    0.1602    1.3394    0.0467    0.9552    0.0790
+#> 208:    92.1203   -6.0351   -0.0260    2.4804   -0.9309    0.1616    4.2520    0.3369    0.4120    0.1613    1.3366    0.0466    0.9667    0.0785
+#> 209:    92.1169   -6.0133   -0.0277    2.4792   -0.9300    0.1596    4.1237    0.3352    0.4111    0.1616    1.3344    0.0464    0.9741    0.0778
+#> 210:    92.1195   -5.9866   -0.0289    2.4752   -0.9287    0.1586    3.9853    0.3352    0.4091    0.1602    1.3410    0.0461    0.9708    0.0778
+#> 211:    92.1243   -5.9458   -0.0316    2.4687   -0.9287    0.1606    3.8383    0.3366    0.4094    0.1607    1.3525    0.0455    0.9759    0.0778
+#> 212:    92.1384   -5.9338   -0.0345    2.4640   -0.9280    0.1635    3.7875    0.3375    0.4105    0.1594    1.3589    0.0454    0.9800    0.0776
+#> 213:    92.1481   -5.9191   -0.0379    2.4587   -0.9269    0.1629    3.7150    0.3375    0.4100    0.1586    1.3673    0.0449    0.9839    0.0775
+#> 214:    92.1523   -5.9189   -0.0408    2.4542   -0.9270    0.1593    3.7061    0.3375    0.4092    0.1579    1.3731    0.0446    0.9847    0.0773
+#> 215:    92.1548   -5.9183   -0.0429    2.4499   -0.9269    0.1604    3.7075    0.3369    0.4095    0.1574    1.3765    0.0442    0.9821    0.0775
+#> 216:    92.1547   -5.9171   -0.0450    2.4455   -0.9270    0.1600    3.6967    0.3368    0.4100    0.1571    1.3811    0.0438    0.9830    0.0776
+#> 217:    92.1556   -5.9141   -0.0468    2.4422   -0.9281    0.1580    3.6732    0.3361    0.4102    0.1578    1.3864    0.0435    0.9995    0.0770
+#> 218:    92.1587   -5.9173   -0.0477    2.4395   -0.9287    0.1545    3.6822    0.3351    0.4112    0.1580    1.3882    0.0432    1.0001    0.0772
+#> 219:    92.1590   -5.9188   -0.0483    2.4374   -0.9303    0.1540    3.6595    0.3341    0.4132    0.1578    1.3889    0.0430    0.9983    0.0775
+#> 220:    92.1614   -5.9303   -0.0493    2.4353   -0.9321    0.1559    3.6914    0.3336    0.4141    0.1581    1.3914    0.0427    1.0003    0.0775
+#> 221:    92.1657   -5.9455   -0.0504    2.4328   -0.9344    0.1585    3.7569    0.3329    0.4140    0.1591    1.3938    0.0424    1.0064    0.0773
+#> 222:    92.1697   -5.9320   -0.0515    2.4306   -0.9358    0.1617    3.6783    0.3321    0.4145    0.1600    1.3992    0.0421    1.0107    0.0772
+#> 223:    92.1754   -5.9205   -0.0525    2.4280   -0.9375    0.1630    3.6233    0.3313    0.4158    0.1604    1.4072    0.0416    1.0216    0.0770
+#> 224:    92.1809   -5.9149   -0.0534    2.4264   -0.9386    0.1623    3.5812    0.3306    0.4167    0.1607    1.4130    0.0413    1.0349    0.0764
+#> 225:    92.1872   -5.9099   -0.0543    2.4243   -0.9390    0.1619    3.5446    0.3299    0.4174    0.1607    1.4152    0.0411    1.0348    0.0766
+#> 226:    92.1935   -5.9046   -0.0554    2.4224   -0.9396    0.1631    3.5046    0.3299    0.4183    0.1608    1.4157    0.0409    1.0375    0.0766
+#> 227:    92.2026   -5.8964   -0.0567    2.4198   -0.9400    0.1637    3.4591    0.3303    0.4183    0.1614    1.4144    0.0408    1.0444    0.0763
+#> 228:    92.2069   -5.8852   -0.0578    2.4175   -0.9407    0.1633    3.4091    0.3308    0.4185    0.1621    1.4144    0.0407    1.0485    0.0763
+#> 229:    92.2122   -5.8844   -0.0591    2.4145   -0.9418    0.1631    3.3899    0.3314    0.4194    0.1622    1.4173    0.0404    1.0514    0.0763
+#> 230:    92.2183   -5.8907   -0.0604    2.4116   -0.9416    0.1640    3.4053    0.3319    0.4202    0.1616    1.4200    0.0401    1.0527    0.0764
+#> 231:    92.2246   -5.8895   -0.0619    2.4087   -0.9422    0.1651    3.3985    0.3323    0.4208    0.1609    1.4234    0.0400    1.0560    0.0762
+#> 232:    92.2282   -5.8840   -0.0632    2.4058   -0.9423    0.1641    3.3771    0.3327    0.4215    0.1609    1.4266    0.0398    1.0585    0.0762
+#> 233:    92.2294   -5.8775   -0.0645    2.4032   -0.9424    0.1620    3.3481    0.3335    0.4216    0.1607    1.4311    0.0395    1.0600    0.0763
+#> 234:    92.2311   -5.8709   -0.0658    2.4006   -0.9421    0.1626    3.3242    0.3343    0.4220    0.1602    1.4340    0.0393    1.0604    0.0764
+#> 235:    92.2312   -5.8656   -0.0668    2.3985   -0.9420    0.1608    3.3023    0.3350    0.4225    0.1596    1.4381    0.0391    1.0600    0.0765
+#> 236:    92.2289   -5.8633   -0.0675    2.3974   -0.9423    0.1599    3.2811    0.3352    0.4227    0.1589    1.4392    0.0390    1.0594    0.0765
+#> 237:    92.2251   -5.8641   -0.0683    2.3960   -0.9435    0.1586    3.2734    0.3351    0.4226    0.1588    1.4403    0.0389    1.0623    0.0765
+#> 238:    92.2242   -5.8633   -0.0690    2.3949   -0.9443    0.1579    3.2547    0.3349    0.4230    0.1590    1.4409    0.0389    1.0659    0.0765
+#> 239:    92.2250   -5.8612   -0.0693    2.3951   -0.9449    0.1558    3.2309    0.3346    0.4234    0.1599    1.4396    0.0389    1.0740    0.0762
+#> 240:    92.2264   -5.8597   -0.0696    2.3949   -0.9446    0.1550    3.2124    0.3342    0.4234    0.1603    1.4401    0.0388    1.0791    0.0760
+#> 241:    92.2281   -5.8562   -0.0699    2.3948   -0.9449    0.1544    3.1933    0.3339    0.4236    0.1604    1.4411    0.0388    1.0825    0.0760
+#> 242:    92.2289   -5.8512   -0.0703    2.3942   -0.9450    0.1534    3.1709    0.3338    0.4235    0.1606    1.4421    0.0388    1.0870    0.0760
+#> 243:    92.2296   -5.8489   -0.0708    2.3934   -0.9446    0.1531    3.1689    0.3342    0.4230    0.1605    1.4423    0.0387    1.0876    0.0760
+#> 244:    92.2311   -5.8446   -0.0715    2.3929   -0.9443    0.1528    3.1630    0.3349    0.4228    0.1604    1.4429    0.0387    1.0916    0.0759
+#> 245:    92.2338   -5.8421   -0.0718    2.3924   -0.9443    0.1528    3.1616    0.3352    0.4224    0.1610    1.4438    0.0387    1.0980    0.0755
+#> 246:    92.2361   -5.8389   -0.0721    2.3918   -0.9439    0.1525    3.1525    0.3354    0.4216    0.1620    1.4438    0.0388    1.1018    0.0753
+#> 247:    92.2374   -5.8388   -0.0724    2.3917   -0.9434    0.1510    3.1605    0.3356    0.4212    0.1629    1.4438    0.0389    1.1050    0.0751
+#> 248:    92.2360   -5.8367   -0.0728    2.3918   -0.9432    0.1505    3.1559    0.3360    0.4207    0.1638    1.4437    0.0389    1.1090    0.0748
+#> 249:    92.2361   -5.8351   -0.0732    2.3914   -0.9435    0.1499    3.1521    0.3363    0.4204    0.1646    1.4433    0.0389    1.1117    0.0748
+#> 250:    92.2353   -5.8349   -0.0733    2.3906   -0.9436    0.1502    3.1607    0.3365    0.4202    0.1646    1.4457    0.0388    1.1107    0.0749
+#> 251:    92.2343   -5.8318   -0.0736    2.3903   -0.9430    0.1494    3.1513    0.3367    0.4201    0.1648    1.4453    0.0387    1.1093    0.0750
+#> 252:    92.2356   -5.8244   -0.0739    2.3895   -0.9424    0.1477    3.1240    0.3369    0.4200    0.1651    1.4460    0.0386    1.1083    0.0750
+#> 253:    92.2367   -5.8188   -0.0742    2.3890   -0.9423    0.1465    3.1025    0.3369    0.4200    0.1649    1.4477    0.0385    1.1092    0.0750
+#> 254:    92.2392   -5.8154   -0.0747    2.3880   -0.9421    0.1458    3.0888    0.3372    0.4195    0.1644    1.4494    0.0384    1.1080    0.0750
+#> 255:    92.2404   -5.8131   -0.0751    2.3870   -0.9417    0.1451    3.0778    0.3375    0.4191    0.1639    1.4501    0.0383    1.1070    0.0751
+#> 256:    92.2408   -5.8109   -0.0753    2.3867   -0.9413    0.1445    3.0740    0.3376    0.4192    0.1633    1.4510    0.0382    1.1064    0.0751
+#> 257:    92.2413   -5.8066   -0.0754    2.3866   -0.9409    0.1446    3.0636    0.3376    0.4191    0.1628    1.4522    0.0382    1.1080    0.0750
+#> 258:    92.2412   -5.8035   -0.0754    2.3869   -0.9404    0.1436    3.0502    0.3372    0.4191    0.1623    1.4534    0.0381    1.1057    0.0751
+#> 259:    92.2399   -5.7996   -0.0753    2.3871   -0.9399    0.1427    3.0357    0.3370    0.4195    0.1621    1.4540    0.0380    1.1037    0.0752
+#> 260:    92.2389   -5.7955   -0.0755    2.3872   -0.9391    0.1420    3.0251    0.3366    0.4199    0.1619    1.4555    0.0380    1.1041    0.0752
+#> 261:    92.2378   -5.7941   -0.0755    2.3875   -0.9385    0.1412    3.0240    0.3362    0.4201    0.1613    1.4575    0.0380    1.1048    0.0751
+#> 262:    92.2361   -5.7920   -0.0756    2.3879   -0.9379    0.1407    3.0182    0.3358    0.4205    0.1607    1.4581    0.0381    1.1047    0.0750
+#> 263:    92.2338   -5.7891   -0.0754    2.3883   -0.9375    0.1407    3.0072    0.3356    0.4211    0.1603    1.4585    0.0381    1.1041    0.0750
+#> 264:    92.2313   -5.7882   -0.0752    2.3886   -0.9371    0.1407    3.0009    0.3355    0.4217    0.1601    1.4574    0.0381    1.1036    0.0750
+#> 265:    92.2312   -5.7843   -0.0752    2.3883   -0.9372    0.1402    2.9872    0.3358    0.4220    0.1599    1.4577    0.0381    1.1026    0.0750
+#> 266:    92.2312   -5.7800   -0.0753    2.3880   -0.9370    0.1396    2.9708    0.3363    0.4223    0.1597    1.4584    0.0381    1.1019    0.0750
+#> 267:    92.2306   -5.7785   -0.0755    2.3878   -0.9372    0.1397    2.9619    0.3368    0.4227    0.1595    1.4578    0.0381    1.1021    0.0750
+#> 268:    92.2287   -5.7803   -0.0758    2.3870   -0.9372    0.1394    2.9777    0.3375    0.4226    0.1594    1.4578    0.0380    1.1032    0.0749
+#> 269:    92.2265   -5.7804   -0.0761    2.3865   -0.9371    0.1399    2.9816    0.3382    0.4226    0.1592    1.4589    0.0380    1.1058    0.0747
+#> 270:    92.2236   -5.7811   -0.0765    2.3860   -0.9369    0.1411    2.9893    0.3386    0.4227    0.1591    1.4597    0.0380    1.1081    0.0745
+#> 271:    92.2211   -5.7793   -0.0769    2.3852   -0.9365    0.1421    2.9888    0.3390    0.4228    0.1591    1.4606    0.0379    1.1083    0.0745
+#> 272:    92.2187   -5.7773   -0.0773    2.3845   -0.9361    0.1423    2.9810    0.3396    0.4232    0.1589    1.4617    0.0378    1.1076    0.0746
+#> 273:    92.2164   -5.7769   -0.0776    2.3838   -0.9356    0.1427    2.9809    0.3402    0.4240    0.1589    1.4615    0.0378    1.1073    0.0746
+#> 274:    92.2145   -5.7763   -0.0778    2.3836   -0.9355    0.1434    2.9795    0.3407    0.4248    0.1589    1.4615    0.0378    1.1069    0.0746
+#> 275:    92.2133   -5.7762   -0.0779    2.3836   -0.9352    0.1436    2.9837    0.3410    0.4253    0.1589    1.4621    0.0378    1.1064    0.0746
+#> 276:    92.2123   -5.7764   -0.0781    2.3835   -0.9348    0.1431    2.9889    0.3414    0.4255    0.1589    1.4632    0.0378    1.1073    0.0746
+#> 277:    92.2113   -5.7771   -0.0781    2.3839   -0.9347    0.1423    2.9925    0.3423    0.4264    0.1589    1.4630    0.0378    1.1104    0.0744
+#> 278:    92.2099   -5.7774   -0.0780    2.3841   -0.9349    0.1418    2.9927    0.3429    0.4270    0.1590    1.4634    0.0378    1.1127    0.0742
+#> 279:    92.2087   -5.7798   -0.0779    2.3844   -0.9352    0.1413    2.9997    0.3437    0.4276    0.1590    1.4630    0.0378    1.1133    0.0742
+#> 280:    92.2077   -5.7802   -0.0778    2.3841   -0.9358    0.1407    2.9971    0.3445    0.4284    0.1586    1.4634    0.0378    1.1136    0.0742
+#> 281:    92.2061   -5.7814   -0.0777    2.3837   -0.9362    0.1401    3.0004    0.3452    0.4291    0.1582    1.4629    0.0378    1.1133    0.0743
+#> 282:    92.2058   -5.7802   -0.0777    2.3834   -0.9363    0.1386    2.9994    0.3459    0.4297    0.1579    1.4634    0.0378    1.1126    0.0743
+#> 283:    92.2057   -5.7780   -0.0778    2.3828   -0.9361    0.1376    2.9917    0.3469    0.4298    0.1576    1.4645    0.0378    1.1147    0.0742
+#> 284:    92.2051   -5.7788   -0.0780    2.3824   -0.9360    0.1367    2.9968    0.3479    0.4300    0.1573    1.4647    0.0378    1.1149    0.0741
+#> 285:    92.2041   -5.7793   -0.0782    2.3821   -0.9362    0.1359    2.9941    0.3487    0.4302    0.1573    1.4653    0.0378    1.1164    0.0740
+#> 286:    92.2040   -5.7803   -0.0783    2.3819   -0.9364    0.1352    2.9957    0.3495    0.4304    0.1573    1.4655    0.0378    1.1180    0.0738
+#> 287:    92.2044   -5.7809   -0.0784    2.3817   -0.9365    0.1348    2.9961    0.3502    0.4304    0.1572    1.4657    0.0379    1.1178    0.0738
+#> 288:    92.2043   -5.7835   -0.0785    2.3814   -0.9366    0.1350    3.0073    0.3509    0.4304    0.1572    1.4658    0.0379    1.1184    0.0738
+#> 289:    92.2041   -5.7845   -0.0787    2.3809   -0.9364    0.1347    3.0126    0.3516    0.4304    0.1571    1.4653    0.0379    1.1190    0.0737
+#> 290:    92.2032   -5.7852   -0.0788    2.3807   -0.9363    0.1349    3.0161    0.3521    0.4304    0.1568    1.4656    0.0379    1.1191    0.0737
+#> 291:    92.2019   -5.7848   -0.0790    2.3802   -0.9363    0.1356    3.0155    0.3528    0.4300    0.1565    1.4664    0.0380    1.1210    0.0736
+#> 292:    92.2012   -5.7846   -0.0792    2.3799   -0.9363    0.1361    3.0167    0.3535    0.4296    0.1563    1.4670    0.0380    1.1223    0.0735
+#> 293:    92.2007   -5.7845   -0.0793    2.3795   -0.9363    0.1365    3.0175    0.3542    0.4291    0.1561    1.4681    0.0380    1.1236    0.0734
+#> 294:    92.2009   -5.7850   -0.0795    2.3791   -0.9360    0.1365    3.0189    0.3550    0.4287    0.1560    1.4682    0.0380    1.1243    0.0733
+#> 295:    92.2009   -5.7865   -0.0797    2.3786   -0.9360    0.1360    3.0279    0.3556    0.4286    0.1558    1.4689    0.0380    1.1243    0.0734
+#> 296:    92.2007   -5.7878   -0.0798    2.3781   -0.9362    0.1358    3.0345    0.3562    0.4283    0.1555    1.4694    0.0379    1.1247    0.0734
+#> 297:    92.1992   -5.7891   -0.0801    2.3774   -0.9364    0.1358    3.0403    0.3568    0.4278    0.1554    1.4699    0.0379    1.1267    0.0734
+#> 298:    92.1978   -5.7892   -0.0803    2.3768   -0.9366    0.1357    3.0383    0.3573    0.4274    0.1553    1.4706    0.0378    1.1276    0.0734
+#> 299:    92.1968   -5.7906   -0.0805    2.3763   -0.9369    0.1353    3.0408    0.3579    0.4269    0.1553    1.4712    0.0378    1.1282    0.0733
+#> 300:    92.1954   -5.7929   -0.0807    2.3760   -0.9369    0.1352    3.0477    0.3583    0.4265    0.1551    1.4716    0.0379    1.1286    0.0733
+#> 301:    92.1941   -5.7934   -0.0809    2.3757   -0.9369    0.1352    3.0483    0.3588    0.4261    0.1548    1.4727    0.0378    1.1288    0.0732
+#> 302:    92.1929   -5.7949   -0.0811    2.3754   -0.9370    0.1354    3.0560    0.3592    0.4256    0.1548    1.4728    0.0379    1.1296    0.0731
+#> 303:    92.1919   -5.7972   -0.0813    2.3751   -0.9368    0.1352    3.0671    0.3597    0.4250    0.1550    1.4730    0.0379    1.1302    0.0731
+#> 304:    92.1906   -5.8018   -0.0814    2.3750   -0.9368    0.1349    3.0935    0.3602    0.4245    0.1552    1.4731    0.0379    1.1314    0.0730
+#> 305:    92.1897   -5.8063   -0.0817    2.3744   -0.9370    0.1350    3.1211    0.3606    0.4238    0.1554    1.4727    0.0379    1.1323    0.0730
+#> 306:    92.1896   -5.8116   -0.0820    2.3740   -0.9373    0.1347    3.1571    0.3610    0.4233    0.1555    1.4727    0.0379    1.1351    0.0728
+#> 307:    92.1895   -5.8156   -0.0822    2.3735   -0.9373    0.1341    3.1826    0.3613    0.4226    0.1552    1.4741    0.0379    1.1374    0.0726
+#> 308:    92.1899   -5.8202   -0.0824    2.3732   -0.9376    0.1338    3.2124    0.3617    0.4220    0.1554    1.4745    0.0379    1.1408    0.0724
+#> 309:    92.1903   -5.8232   -0.0827    2.3728   -0.9377    0.1337    3.2330    0.3620    0.4213    0.1554    1.4749    0.0379    1.1419    0.0724
+#> 310:    92.1902   -5.8249   -0.0828    2.3727   -0.9378    0.1335    3.2463    0.3621    0.4207    0.1554    1.4752    0.0379    1.1435    0.0723
+#> 311:    92.1910   -5.8267   -0.0828    2.3726   -0.9378    0.1335    3.2581    0.3623    0.4200    0.1554    1.4754    0.0379    1.1441    0.0722
+#> 312:    92.1918   -5.8271   -0.0829    2.3726   -0.9378    0.1333    3.2567    0.3624    0.4195    0.1552    1.4751    0.0380    1.1432    0.0723
+#> 313:    92.1926   -5.8260   -0.0829    2.3725   -0.9380    0.1334    3.2497    0.3626    0.4190    0.1552    1.4751    0.0380    1.1434    0.0723
+#> 314:    92.1934   -5.8256   -0.0829    2.3724   -0.9381    0.1330    3.2426    0.3628    0.4185    0.1553    1.4746    0.0380    1.1441    0.0722
+#> 315:    92.1938   -5.8237   -0.0829    2.3724   -0.9384    0.1326    3.2327    0.3630    0.4179    0.1555    1.4746    0.0380    1.1468    0.0721
+#> 316:    92.1950   -5.8235   -0.0829    2.3722   -0.9385    0.1324    3.2283    0.3631    0.4172    0.1557    1.4745    0.0380    1.1476    0.0721
+#> 317:    92.1963   -5.8239   -0.0829    2.3722   -0.9385    0.1322    3.2260    0.3633    0.4167    0.1560    1.4741    0.0380    1.1481    0.0721
+#> 318:    92.1975   -5.8242   -0.0829    2.3722   -0.9387    0.1321    3.2240    0.3634    0.4163    0.1559    1.4740    0.0380    1.1477    0.0722
+#> 319:    92.1990   -5.8250   -0.0829    2.3721   -0.9387    0.1320    3.2215    0.3634    0.4159    0.1560    1.4736    0.0381    1.1496    0.0720
+#> 320:    92.2003   -5.8256   -0.0829    2.3722   -0.9386    0.1322    3.2199    0.3635    0.4155    0.1561    1.4730    0.0381    1.1508    0.0719
+#> 321:    92.2018   -5.8249   -0.0829    2.3723   -0.9386    0.1326    3.2150    0.3635    0.4151    0.1562    1.4727    0.0381    1.1514    0.0718
+#> 322:    92.2031   -5.8239   -0.0829    2.3724   -0.9386    0.1333    3.2081    0.3635    0.4147    0.1561    1.4729    0.0381    1.1527    0.0717
+#> 323:    92.2045   -5.8244   -0.0829    2.3725   -0.9384    0.1336    3.2065    0.3635    0.4143    0.1562    1.4729    0.0381    1.1541    0.0716
+#> 324:    92.2060   -5.8228   -0.0828    2.3726   -0.9383    0.1339    3.1996    0.3635    0.4139    0.1562    1.4729    0.0382    1.1562    0.0714
+#> 325:    92.2071   -5.8212   -0.0828    2.3727   -0.9383    0.1339    3.1921    0.3636    0.4135    0.1563    1.4733    0.0382    1.1580    0.0713
+#> 326:    92.2083   -5.8201   -0.0826    2.3728   -0.9382    0.1340    3.1888    0.3639    0.4134    0.1562    1.4734    0.0382    1.1587    0.0713
+#> 327:    92.2095   -5.8185   -0.0825    2.3729   -0.9379    0.1340    3.1831    0.3641    0.4134    0.1562    1.4737    0.0382    1.1592    0.0713
+#> 328:    92.2105   -5.8188   -0.0823    2.3731   -0.9379    0.1338    3.1836    0.3643    0.4132    0.1561    1.4736    0.0383    1.1589    0.0713
+#> 329:    92.2115   -5.8182   -0.0821    2.3732   -0.9381    0.1339    3.1807    0.3646    0.4129    0.1561    1.4737    0.0383    1.1585    0.0713
+#> 330:    92.2127   -5.8181   -0.0819    2.3734   -0.9381    0.1338    3.1827    0.3648    0.4127    0.1563    1.4735    0.0383    1.1578    0.0714
+#> 331:    92.2134   -5.8180   -0.0815    2.3739   -0.9381    0.1340    3.1837    0.3647    0.4128    0.1566    1.4735    0.0383    1.1575    0.0714
+#> 332:    92.2136   -5.8184   -0.0811    2.3746   -0.9379    0.1340    3.1847    0.3647    0.4130    0.1570    1.4728    0.0384    1.1577    0.0714
+#> 333:    92.2133   -5.8180   -0.0807    2.3753   -0.9376    0.1340    3.1853    0.3646    0.4132    0.1572    1.4725    0.0384    1.1573    0.0714
+#> 334:    92.2136   -5.8173   -0.0803    2.3760   -0.9374    0.1342    3.1838    0.3645    0.4133    0.1576    1.4720    0.0385    1.1570    0.0714
+#> 335:    92.2139   -5.8187   -0.0800    2.3769   -0.9372    0.1344    3.1947    0.3643    0.4135    0.1576    1.4714    0.0386    1.1567    0.0714
+#> 336:    92.2134   -5.8198   -0.0796    2.3777   -0.9370    0.1348    3.2008    0.3641    0.4135    0.1577    1.4706    0.0387    1.1557    0.0714
+#> 337:    92.2130   -5.8201   -0.0792    2.3784   -0.9370    0.1357    3.2050    0.3640    0.4137    0.1579    1.4703    0.0388    1.1558    0.0714
+#> 338:    92.2130   -5.8190   -0.0787    2.3791   -0.9368    0.1362    3.2036    0.3638    0.4139    0.1580    1.4708    0.0388    1.1558    0.0714
+#> 339:    92.2132   -5.8177   -0.0783    2.3798   -0.9368    0.1369    3.2006    0.3637    0.4142    0.1581    1.4712    0.0388    1.1551    0.0714
+#> 340:    92.2137   -5.8167   -0.0778    2.3806   -0.9366    0.1376    3.1984    0.3636    0.4143    0.1581    1.4712    0.0388    1.1540    0.0715
+#> 341:    92.2141   -5.8145   -0.0773    2.3814   -0.9364    0.1378    3.1916    0.3635    0.4142    0.1581    1.4712    0.0389    1.1529    0.0715
+#> 342:    92.2142   -5.8123   -0.0769    2.3821   -0.9364    0.1383    3.1840    0.3634    0.4142    0.1581    1.4718    0.0389    1.1513    0.0716
+#> 343:    92.2139   -5.8109   -0.0764    2.3830   -0.9364    0.1389    3.1806    0.3632    0.4142    0.1581    1.4721    0.0389    1.1501    0.0716
+#> 344:    92.2137   -5.8117   -0.0759    2.3839   -0.9366    0.1390    3.1830    0.3631    0.4144    0.1582    1.4711    0.0390    1.1492    0.0717
+#> 345:    92.2133   -5.8118   -0.0754    2.3849   -0.9368    0.1391    3.1827    0.3630    0.4146    0.1582    1.4703    0.0391    1.1488    0.0717
+#> 346:    92.2127   -5.8113   -0.0748    2.3858   -0.9369    0.1389    3.1793    0.3629    0.4147    0.1581    1.4700    0.0391    1.1475    0.0717
+#> 347:    92.2121   -5.8107   -0.0743    2.3867   -0.9371    0.1386    3.1748    0.3628    0.4149    0.1579    1.4701    0.0392    1.1463    0.0718
+#> 348:    92.2106   -5.8109   -0.0738    2.3876   -0.9374    0.1385    3.1726    0.3626    0.4151    0.1577    1.4704    0.0392    1.1453    0.0719
+#> 349:    92.2096   -5.8111   -0.0732    2.3883   -0.9377    0.1382    3.1703    0.3626    0.4151    0.1575    1.4705    0.0392    1.1448    0.0719
+#> 350:    92.2088   -5.8108   -0.0727    2.3890   -0.9378    0.1380    3.1674    0.3625    0.4152    0.1574    1.4704    0.0392    1.1439    0.0720
+#> 351:    92.2077   -5.8103   -0.0722    2.3899   -0.9379    0.1379    3.1634    0.3623    0.4154    0.1572    1.4701    0.0393    1.1432    0.0720
+#> 352:    92.2069   -5.8103   -0.0718    2.3906   -0.9381    0.1380    3.1626    0.3623    0.4154    0.1570    1.4701    0.0393    1.1425    0.0721
+#> 353:    92.2058   -5.8107   -0.0714    2.3913   -0.9381    0.1382    3.1629    0.3624    0.4154    0.1570    1.4695    0.0394    1.1426    0.0720
+#> 354:    92.2046   -5.8102   -0.0710    2.3921   -0.9381    0.1384    3.1576    0.3624    0.4154    0.1571    1.4691    0.0394    1.1424    0.0720
+#> 355:    92.2034   -5.8084   -0.0707    2.3928   -0.9381    0.1388    3.1501    0.3624    0.4154    0.1570    1.4686    0.0395    1.1414    0.0721
+#> 356:    92.2027   -5.8079   -0.0703    2.3935   -0.9382    0.1392    3.1463    0.3626    0.4155    0.1569    1.4682    0.0396    1.1405    0.0721
+#> 357:    92.2019   -5.8084   -0.0698    2.3943   -0.9382    0.1390    3.1444    0.3628    0.4156    0.1569    1.4665    0.0397    1.1403    0.0721
+#> 358:    92.2014   -5.8085   -0.0694    2.3950   -0.9381    0.1389    3.1413    0.3630    0.4158    0.1569    1.4662    0.0398    1.1398    0.0722
+#> 359:    92.2005   -5.8091   -0.0689    2.3956   -0.9383    0.1387    3.1393    0.3633    0.4159    0.1570    1.4664    0.0398    1.1401    0.0722
+#> 360:    92.1994   -5.8091   -0.0685    2.3962   -0.9385    0.1385    3.1362    0.3635    0.4159    0.1572    1.4664    0.0398    1.1413    0.0722
+#> 361:    92.1983   -5.8094   -0.0682    2.3966   -0.9386    0.1384    3.1340    0.3638    0.4159    0.1573    1.4669    0.0398    1.1420    0.0722
+#> 362:    92.1976   -5.8086   -0.0678    2.3971   -0.9389    0.1380    3.1277    0.3639    0.4160    0.1573    1.4671    0.0398    1.1414    0.0723
+#> 363:    92.1967   -5.8081   -0.0675    2.3976   -0.9389    0.1377    3.1239    0.3641    0.4161    0.1573    1.4669    0.0399    1.1412    0.0723
+#> 364:    92.1960   -5.8073   -0.0671    2.3982   -0.9390    0.1373    3.1208    0.3643    0.4161    0.1572    1.4668    0.0399    1.1411    0.0723
+#> 365:    92.1958   -5.8066   -0.0667    2.3988   -0.9389    0.1369    3.1164    0.3645    0.4160    0.1572    1.4672    0.0399    1.1416    0.0723
+#> 366:    92.1956   -5.8063   -0.0664    2.3992   -0.9390    0.1364    3.1127    0.3650    0.4156    0.1573    1.4674    0.0399    1.1425    0.0723
+#> 367:    92.1952   -5.8056   -0.0661    2.3996   -0.9389    0.1361    3.1082    0.3652    0.4155    0.1574    1.4675    0.0399    1.1416    0.0723
+#> 368:    92.1948   -5.8059   -0.0658    2.4001   -0.9389    0.1359    3.1068    0.3655    0.4154    0.1575    1.4671    0.0399    1.1406    0.0724
+#> 369:    92.1948   -5.8064   -0.0655    2.4005   -0.9388    0.1360    3.1055    0.3658    0.4152    0.1576    1.4669    0.0399    1.1408    0.0724
+#> 370:    92.1951   -5.8072   -0.0652    2.4010   -0.9389    0.1361    3.1060    0.3660    0.4151    0.1576    1.4669    0.0399    1.1406    0.0724
+#> 371:    92.1956   -5.8080   -0.0649    2.4015   -0.9390    0.1362    3.1095    0.3662    0.4150    0.1576    1.4669    0.0400    1.1411    0.0724
+#> 372:    92.1962   -5.8096   -0.0645    2.4020   -0.9390    0.1363    3.1168    0.3665    0.4149    0.1576    1.4667    0.0400    1.1411    0.0724
+#> 373:    92.1968   -5.8098   -0.0642    2.4025   -0.9392    0.1363    3.1154    0.3666    0.4147    0.1576    1.4664    0.0400    1.1418    0.0723
+#> 374:    92.1972   -5.8098   -0.0640    2.4029   -0.9395    0.1363    3.1117    0.3667    0.4146    0.1576    1.4661    0.0401    1.1421    0.0723
+#> 375:    92.1979   -5.8101   -0.0637    2.4032   -0.9397    0.1364    3.1090    0.3668    0.4143    0.1577    1.4654    0.0401    1.1425    0.0723
+#> 376:    92.1981   -5.8106   -0.0635    2.4035   -0.9399    0.1363    3.1084    0.3669    0.4142    0.1576    1.4650    0.0401    1.1423    0.0723
+#> 377:    92.1986   -5.8104   -0.0633    2.4039   -0.9399    0.1360    3.1053    0.3670    0.4142    0.1576    1.4645    0.0402    1.1424    0.0723
+#> 378:    92.1989   -5.8104   -0.0631    2.4043   -0.9399    0.1358    3.1026    0.3671    0.4142    0.1577    1.4638    0.0402    1.1421    0.0723
+#> 379:    92.1990   -5.8114   -0.0628    2.4047   -0.9399    0.1355    3.1068    0.3671    0.4141    0.1577    1.4636    0.0402    1.1413    0.0724
+#> 380:    92.1989   -5.8119   -0.0627    2.4048   -0.9400    0.1351    3.1095    0.3673    0.4136    0.1577    1.4634    0.0402    1.1413    0.0724
+#> 381:    92.1989   -5.8127   -0.0627    2.4048   -0.9400    0.1349    3.1152    0.3676    0.4131    0.1577    1.4631    0.0403    1.1408    0.0723
+#> 382:    92.1994   -5.8126   -0.0627    2.4049   -0.9399    0.1348    3.1188    0.3678    0.4126    0.1576    1.4635    0.0403    1.1403    0.0723
+#> 383:    92.2000   -5.8129   -0.0626    2.4049   -0.9397    0.1346    3.1256    0.3681    0.4120    0.1576    1.4637    0.0403    1.1396    0.0723
+#> 384:    92.2006   -5.8133   -0.0626    2.4050   -0.9396    0.1347    3.1290    0.3683    0.4115    0.1575    1.4641    0.0402    1.1389    0.0723
+#> 385:    92.2015   -5.8131   -0.0626    2.4050   -0.9394    0.1350    3.1287    0.3686    0.4110    0.1575    1.4642    0.0402    1.1382    0.0723
+#> 386:    92.2023   -5.8140   -0.0625    2.4049   -0.9391    0.1349    3.1324    0.3690    0.4104    0.1574    1.4647    0.0402    1.1374    0.0723
+#> 387:    92.2030   -5.8147   -0.0625    2.4050   -0.9390    0.1349    3.1345    0.3693    0.4099    0.1572    1.4652    0.0402    1.1366    0.0724
+#> 388:    92.2040   -5.8157   -0.0625    2.4050   -0.9389    0.1349    3.1381    0.3696    0.4094    0.1570    1.4652    0.0402    1.1362    0.0724
+#> 389:    92.2051   -5.8156   -0.0625    2.4051   -0.9387    0.1349    3.1373    0.3699    0.4090    0.1570    1.4653    0.0402    1.1354    0.0724
+#> 390:    92.2063   -5.8152   -0.0625    2.4051   -0.9386    0.1349    3.1350    0.3702    0.4087    0.1570    1.4655    0.0402    1.1345    0.0725
+#> 391:    92.2076   -5.8160   -0.0625    2.4051   -0.9384    0.1350    3.1380    0.3705    0.4083    0.1571    1.4656    0.0402    1.1341    0.0725
+#> 392:    92.2086   -5.8166   -0.0626    2.4049   -0.9384    0.1349    3.1397    0.3707    0.4081    0.1572    1.4658    0.0402    1.1345    0.0725
+#> 393:    92.2095   -5.8168   -0.0626    2.4047   -0.9383    0.1348    3.1405    0.3708    0.4080    0.1573    1.4659    0.0402    1.1344    0.0725
+#> 394:    92.2107   -5.8174   -0.0627    2.4045   -0.9382    0.1347    3.1433    0.3710    0.4079    0.1575    1.4660    0.0401    1.1342    0.0725
+#> 395:    92.2118   -5.8174   -0.0628    2.4043   -0.9380    0.1346    3.1437    0.3711    0.4078    0.1575    1.4661    0.0401    1.1343    0.0725
+#> 396:    92.2127   -5.8170   -0.0629    2.4041   -0.9379    0.1344    3.1424    0.3712    0.4077    0.1575    1.4664    0.0401    1.1342    0.0725
+#> 397:    92.2137   -5.8161   -0.0630    2.4040   -0.9376    0.1342    3.1386    0.3713    0.4076    0.1577    1.4667    0.0401    1.1341    0.0725
+#> 398:    92.2146   -5.8152   -0.0633    2.4036   -0.9374    0.1341    3.1344    0.3713    0.4075    0.1578    1.4671    0.0401    1.1334    0.0725
+#> 399:    92.2157   -5.8138   -0.0635    2.4032   -0.9373    0.1340    3.1296    0.3714    0.4074    0.1578    1.4678    0.0401    1.1336    0.0726
+#> 400:    92.2165   -5.8131   -0.0638    2.4027   -0.9372    0.1340    3.1262    0.3715    0.4072    0.1579    1.4681    0.0400    1.1332    0.0726
+#> 401:    92.2173   -5.8118   -0.0641    2.4022   -0.9372    0.1341    3.1220    0.3716    0.4069    0.1579    1.4686    0.0400    1.1339    0.0726
+#> 402:    92.2181   -5.8107   -0.0643    2.4018   -0.9370    0.1344    3.1192    0.3718    0.4065    0.1580    1.4694    0.0400    1.1338    0.0726
+#> 403:    92.2190   -5.8099   -0.0646    2.4013   -0.9371    0.1348    3.1166    0.3720    0.4061    0.1581    1.4700    0.0400    1.1344    0.0725
+#> 404:    92.2198   -5.8104   -0.0649    2.4008   -0.9372    0.1348    3.1161    0.3723    0.4058    0.1582    1.4704    0.0399    1.1357    0.0725
+#> 405:    92.2203   -5.8107   -0.0652    2.4004   -0.9372    0.1348    3.1177    0.3725    0.4055    0.1582    1.4705    0.0400    1.1358    0.0724
+#> 406:    92.2204   -5.8103   -0.0653    2.4002   -0.9371    0.1348    3.1157    0.3724    0.4051    0.1582    1.4709    0.0400    1.1361    0.0724
+#> 407:    92.2201   -5.8094   -0.0655    2.4001   -0.9369    0.1348    3.1121    0.3724    0.4048    0.1583    1.4713    0.0400    1.1360    0.0724
+#> 408:    92.2201   -5.8087   -0.0657    2.3999   -0.9368    0.1350    3.1085    0.3724    0.4044    0.1582    1.4714    0.0400    1.1360    0.0723
+#> 409:    92.2201   -5.8083   -0.0658    2.3998   -0.9365    0.1355    3.1073    0.3724    0.4043    0.1582    1.4713    0.0401    1.1358    0.0723
+#> 410:    92.2196   -5.8094   -0.0659    2.3996   -0.9365    0.1361    3.1123    0.3724    0.4041    0.1582    1.4712    0.0401    1.1357    0.0723
+#> 411:    92.2192   -5.8099   -0.0661    2.3994   -0.9366    0.1363    3.1168    0.3724    0.4038    0.1582    1.4715    0.0401    1.1354    0.0723
+#> 412:    92.2187   -5.8105   -0.0662    2.3993   -0.9365    0.1365    3.1215    0.3725    0.4035    0.1582    1.4716    0.0401    1.1359    0.0723
+#> 413:    92.2185   -5.8109   -0.0663    2.3992   -0.9365    0.1367    3.1268    0.3725    0.4031    0.1583    1.4719    0.0401    1.1357    0.0723
+#> 414:    92.2183   -5.8111   -0.0665    2.3987   -0.9365    0.1370    3.1286    0.3727    0.4026    0.1582    1.4724    0.0400    1.1349    0.0723
+#> 415:    92.2181   -5.8122   -0.0667    2.3983   -0.9366    0.1370    3.1351    0.3729    0.4021    0.1581    1.4726    0.0400    1.1341    0.0724
+#> 416:    92.2180   -5.8133   -0.0669    2.3979   -0.9367    0.1372    3.1409    0.3731    0.4015    0.1578    1.4734    0.0400    1.1333    0.0724
+#> 417:    92.2176   -5.8138   -0.0671    2.3976   -0.9368    0.1374    3.1426    0.3733    0.4009    0.1576    1.4739    0.0400    1.1325    0.0724
+#> 418:    92.2173   -5.8150   -0.0673    2.3973   -0.9369    0.1376    3.1479    0.3735    0.4003    0.1575    1.4740    0.0400    1.1316    0.0725
+#> 419:    92.2174   -5.8154   -0.0674    2.3970   -0.9369    0.1375    3.1497    0.3736    0.3998    0.1574    1.4741    0.0400    1.1314    0.0724
+#> 420:    92.2175   -5.8154   -0.0676    2.3968   -0.9369    0.1375    3.1489    0.3737    0.3993    0.1574    1.4742    0.0400    1.1315    0.0724
+#> 421:    92.2176   -5.8154   -0.0678    2.3964   -0.9369    0.1374    3.1485    0.3739    0.3989    0.1573    1.4743    0.0400    1.1312    0.0724
+#> 422:    92.2174   -5.8155   -0.0680    2.3961   -0.9370    0.1375    3.1483    0.3741    0.3985    0.1572    1.4744    0.0400    1.1309    0.0723
+#> 423:    92.2170   -5.8156   -0.0681    2.3958   -0.9371    0.1375    3.1481    0.3742    0.3980    0.1571    1.4741    0.0400    1.1308    0.0723
+#> 424:    92.2169   -5.8168   -0.0683    2.3956   -0.9372    0.1374    3.1524    0.3744    0.3976    0.1571    1.4740    0.0400    1.1316    0.0722
+#> 425:    92.2167   -5.8171   -0.0685    2.3954   -0.9372    0.1373    3.1520    0.3744    0.3972    0.1571    1.4736    0.0401    1.1317    0.0722
+#> 426:    92.2164   -5.8170   -0.0687    2.3951   -0.9372    0.1373    3.1502    0.3745    0.3968    0.1570    1.4734    0.0401    1.1320    0.0722
+#> 427:    92.2166   -5.8169   -0.0688    2.3949   -0.9372    0.1372    3.1480    0.3745    0.3964    0.1570    1.4734    0.0401    1.1317    0.0721
+#> 428:    92.2166   -5.8170   -0.0689    2.3948   -0.9374    0.1371    3.1460    0.3745    0.3959    0.1570    1.4735    0.0401    1.1315    0.0721
+#> 429:    92.2162   -5.8171   -0.0691    2.3946   -0.9374    0.1369    3.1446    0.3745    0.3954    0.1570    1.4736    0.0401    1.1316    0.0721
+#> 430:    92.2158   -5.8178   -0.0692    2.3944   -0.9375    0.1370    3.1464    0.3745    0.3950    0.1570    1.4736    0.0401    1.1314    0.0721
+#> 431:    92.2153   -5.8180   -0.0693    2.3942   -0.9375    0.1371    3.1470    0.3745    0.3946    0.1570    1.4735    0.0401    1.1314    0.0721
+#> 432:    92.2150   -5.8182   -0.0695    2.3940   -0.9375    0.1372    3.1477    0.3746    0.3942    0.1570    1.4735    0.0401    1.1315    0.0721
+#> 433:    92.2145   -5.8189   -0.0696    2.3938   -0.9375    0.1374    3.1512    0.3746    0.3938    0.1571    1.4736    0.0400    1.1323    0.0720
+#> 434:    92.2141   -5.8186   -0.0697    2.3936   -0.9373    0.1376    3.1530    0.3746    0.3933    0.1571    1.4736    0.0400    1.1330    0.0719
+#> 435:    92.2133   -5.8187   -0.0699    2.3934   -0.9373    0.1381    3.1571    0.3747    0.3929    0.1570    1.4738    0.0400    1.1325    0.0720
+#> 436:    92.2129   -5.8180   -0.0700    2.3932   -0.9374    0.1380    3.1544    0.3746    0.3925    0.1570    1.4740    0.0400    1.1332    0.0719
+#> 437:    92.2122   -5.8186   -0.0702    2.3930   -0.9375    0.1380    3.1574    0.3746    0.3921    0.1570    1.4739    0.0400    1.1342    0.0718
+#> 438:    92.2114   -5.8187   -0.0703    2.3928   -0.9376    0.1380    3.1583    0.3745    0.3918    0.1569    1.4740    0.0400    1.1346    0.0718
+#> 439:    92.2104   -5.8181   -0.0705    2.3925   -0.9377    0.1381    3.1568    0.3744    0.3914    0.1568    1.4743    0.0400    1.1352    0.0718
+#> 440:    92.2095   -5.8178   -0.0706    2.3923   -0.9377    0.1381    3.1555    0.3743    0.3910    0.1566    1.4745    0.0400    1.1349    0.0718
+#> 441:    92.2088   -5.8176   -0.0707    2.3923   -0.9378    0.1381    3.1559    0.3742    0.3907    0.1565    1.4748    0.0400    1.1349    0.0718
+#> 442:    92.2081   -5.8172   -0.0708    2.3921   -0.9379    0.1383    3.1539    0.3741    0.3903    0.1564    1.4754    0.0400    1.1350    0.0717
+#> 443:    92.2074   -5.8171   -0.0709    2.3920   -0.9380    0.1387    3.1526    0.3740    0.3901    0.1563    1.4756    0.0400    1.1349    0.0717
+#> 444:    92.2068   -5.8175   -0.0711    2.3918   -0.9380    0.1390    3.1533    0.3739    0.3898    0.1562    1.4758    0.0400    1.1353    0.0717
+#> 445:    92.2061   -5.8180   -0.0712    2.3915   -0.9382    0.1394    3.1529    0.3737    0.3896    0.1562    1.4758    0.0400    1.1355    0.0717
+#> 446:    92.2054   -5.8177   -0.0714    2.3912   -0.9384    0.1398    3.1496    0.3735    0.3894    0.1562    1.4760    0.0399    1.1367    0.0716
+#> 447:    92.2051   -5.8180   -0.0716    2.3910   -0.9385    0.1400    3.1484    0.3734    0.3891    0.1563    1.4762    0.0399    1.1370    0.0715
+#> 448:    92.2053   -5.8189   -0.0717    2.3909   -0.9387    0.1405    3.1499    0.3732    0.3889    0.1563    1.4764    0.0399    1.1377    0.0715
+#> 449:    92.2054   -5.8195   -0.0718    2.3908   -0.9388    0.1411    3.1497    0.3730    0.3887    0.1562    1.4768    0.0399    1.1382    0.0715
+#> 450:    92.2054   -5.8205   -0.0719    2.3906   -0.9390    0.1417    3.1528    0.3728    0.3885    0.1562    1.4769    0.0399    1.1378    0.0715
+#> 451:    92.2053   -5.8213   -0.0720    2.3905   -0.9391    0.1423    3.1544    0.3725    0.3883    0.1561    1.4774    0.0399    1.1379    0.0715
+#> 452:    92.2054   -5.8218   -0.0720    2.3905   -0.9393    0.1426    3.1541    0.3722    0.3882    0.1560    1.4779    0.0398    1.1378    0.0715
+#> 453:    92.2054   -5.8217   -0.0721    2.3903   -0.9395    0.1428    3.1530    0.3721    0.3880    0.1559    1.4785    0.0398    1.1378    0.0715
+#> 454:    92.2053   -5.8214   -0.0722    2.3901   -0.9395    0.1431    3.1508    0.3720    0.3878    0.1559    1.4786    0.0398    1.1375    0.0715
+#> 455:    92.2052   -5.8220   -0.0724    2.3898   -0.9396    0.1433    3.1519    0.3720    0.3875    0.1559    1.4791    0.0398    1.1379    0.0715
+#> 456:    92.2053   -5.8230   -0.0727    2.3894   -0.9397    0.1434    3.1544    0.3720    0.3873    0.1560    1.4793    0.0398    1.1384    0.0714
+#> 457:    92.2053   -5.8240   -0.0729    2.3889   -0.9398    0.1437    3.1568    0.3720    0.3869    0.1559    1.4793    0.0398    1.1393    0.0714
+#> 458:    92.2051   -5.8245   -0.0731    2.3885   -0.9399    0.1440    3.1571    0.3721    0.3865    0.1558    1.4797    0.0397    1.1404    0.0713
+#> 459:    92.2045   -5.8246   -0.0732    2.3882   -0.9402    0.1442    3.1562    0.3721    0.3862    0.1558    1.4801    0.0397    1.1407    0.0713
+#> 460:    92.2040   -5.8244   -0.0734    2.3878   -0.9403    0.1442    3.1536    0.3722    0.3859    0.1558    1.4806    0.0397    1.1406    0.0713
+#> 461:    92.2030   -5.8245   -0.0736    2.3874   -0.9404    0.1444    3.1517    0.3722    0.3856    0.1557    1.4811    0.0397    1.1412    0.0713
+#> 462:    92.2022   -5.8253   -0.0738    2.3870   -0.9405    0.1445    3.1531    0.3723    0.3853    0.1556    1.4817    0.0396    1.1425    0.0712
+#> 463:    92.2014   -5.8260   -0.0740    2.3866   -0.9405    0.1449    3.1545    0.3724    0.3849    0.1556    1.4823    0.0396    1.1441    0.0711
+#> 464:    92.2008   -5.8257   -0.0742    2.3862   -0.9405    0.1453    3.1522    0.3726    0.3845    0.1555    1.4828    0.0396    1.1451    0.0711
+#> 465:    92.2002   -5.8256   -0.0744    2.3859   -0.9404    0.1458    3.1511    0.3727    0.3842    0.1555    1.4830    0.0396    1.1459    0.0710
+#> 466:    92.1997   -5.8256   -0.0747    2.3855   -0.9403    0.1463    3.1516    0.3728    0.3839    0.1555    1.4834    0.0396    1.1476    0.0709
+#> 467:    92.1993   -5.8258   -0.0749    2.3850   -0.9404    0.1468    3.1521    0.3730    0.3836    0.1555    1.4835    0.0395    1.1490    0.0708
+#> 468:    92.1990   -5.8259   -0.0752    2.3846   -0.9404    0.1473    3.1546    0.3731    0.3834    0.1555    1.4837    0.0395    1.1500    0.0708
+#> 469:    92.1987   -5.8263   -0.0753    2.3844   -0.9403    0.1479    3.1598    0.3731    0.3831    0.1555    1.4839    0.0395    1.1504    0.0707
+#> 470:    92.1987   -5.8267   -0.0755    2.3841   -0.9403    0.1482    3.1611    0.3730    0.3829    0.1555    1.4839    0.0395    1.1496    0.0708
+#> 471:    92.1987   -5.8269   -0.0756    2.3839   -0.9404    0.1482    3.1627    0.3730    0.3826    0.1555    1.4839    0.0395    1.1492    0.0708
+#> 472:    92.1983   -5.8269   -0.0758    2.3838   -0.9403    0.1480    3.1618    0.3729    0.3823    0.1555    1.4839    0.0395    1.1493    0.0708
+#> 473:    92.1980   -5.8264   -0.0760    2.3836   -0.9402    0.1478    3.1602    0.3728    0.3820    0.1554    1.4839    0.0395    1.1489    0.0708
+#> 474:    92.1976   -5.8256   -0.0762    2.3834   -0.9402    0.1475    3.1565    0.3727    0.3818    0.1554    1.4842    0.0395    1.1487    0.0708
+#> 475:    92.1971   -5.8252   -0.0763    2.3832   -0.9402    0.1473    3.1543    0.3726    0.3816    0.1553    1.4845    0.0395    1.1487    0.0707
+#> 476:    92.1965   -5.8250   -0.0765    2.3830   -0.9402    0.1469    3.1523    0.3725    0.3814    0.1552    1.4846    0.0395    1.1484    0.0707
+#> 477:    92.1960   -5.8242   -0.0766    2.3827   -0.9402    0.1465    3.1483    0.3724    0.3811    0.1552    1.4849    0.0395    1.1483    0.0708
+#> 478:    92.1955   -5.8236   -0.0767    2.3826   -0.9402    0.1463    3.1447    0.3722    0.3808    0.1553    1.4854    0.0395    1.1481    0.0708
+#> 479:    92.1952   -5.8232   -0.0769    2.3824   -0.9401    0.1462    3.1421    0.3722    0.3805    0.1554    1.4857    0.0395    1.1478    0.0708
+#> 480:    92.1948   -5.8235   -0.0770    2.3822   -0.9400    0.1461    3.1426    0.3721    0.3803    0.1554    1.4862    0.0395    1.1478    0.0708
+#> 481:    92.1947   -5.8240   -0.0772    2.3820   -0.9399    0.1459    3.1455    0.3721    0.3801    0.1554    1.4868    0.0395    1.1483    0.0708
+#> 482:    92.1948   -5.8244   -0.0774    2.3817   -0.9399    0.1456    3.1476    0.3720    0.3799    0.1553    1.4873    0.0395    1.1488    0.0708
+#> 483:    92.1944   -5.8247   -0.0776    2.3815   -0.9397    0.1455    3.1487    0.3719    0.3797    0.1553    1.4876    0.0394    1.1494    0.0708
+#> 484:    92.1941   -5.8249   -0.0778    2.3811   -0.9396    0.1454    3.1493    0.3719    0.3795    0.1554    1.4879    0.0394    1.1501    0.0707
+#> 485:    92.1940   -5.8252   -0.0780    2.3809   -0.9396    0.1453    3.1501    0.3718    0.3793    0.1554    1.4881    0.0394    1.1503    0.0707
+#> 486:    92.1936   -5.8249   -0.0781    2.3807   -0.9395    0.1453    3.1486    0.3717    0.3792    0.1554    1.4884    0.0394    1.1508    0.0707
+#> 487:    92.1935   -5.8248   -0.0783    2.3804   -0.9394    0.1453    3.1485    0.3716    0.3791    0.1553    1.4887    0.0393    1.1507    0.0707
+#> 488:    92.1932   -5.8246   -0.0785    2.3800   -0.9394    0.1454    3.1478    0.3715    0.3788    0.1552    1.4892    0.0393    1.1510    0.0707
+#> 489:    92.1931   -5.8241   -0.0787    2.3796   -0.9394    0.1455    3.1468    0.3715    0.3787    0.1551    1.4895    0.0393    1.1514    0.0706
+#> 490:    92.1934   -5.8242   -0.0790    2.3793   -0.9393    0.1456    3.1478    0.3715    0.3786    0.1551    1.4898    0.0393    1.1528    0.0706
+#> 491:    92.1936   -5.8241   -0.0792    2.3788   -0.9392    0.1455    3.1472    0.3715    0.3785    0.1551    1.4900    0.0393    1.1533    0.0706
+#> 492:    92.1940   -5.8234   -0.0794    2.3783   -0.9391    0.1455    3.1449    0.3714    0.3783    0.1551    1.4903    0.0392    1.1538    0.0705
+#> 493:    92.1943   -5.8230   -0.0797    2.3779   -0.9390    0.1455    3.1426    0.3714    0.3783    0.1552    1.4907    0.0392    1.1541    0.0705
+#> 494:    92.1946   -5.8226   -0.0799    2.3774   -0.9390    0.1458    3.1405    0.3713    0.3782    0.1551    1.4911    0.0392    1.1541    0.0706
+#> 495:    92.1948   -5.8219   -0.0802    2.3770   -0.9391    0.1459    3.1366    0.3712    0.3782    0.1551    1.4916    0.0392    1.1543    0.0706
+#> 496:    92.1948   -5.8213   -0.0804    2.3766   -0.9392    0.1460    3.1331    0.3711    0.3781    0.1552    1.4920    0.0392    1.1556    0.0705
+#> 497:    92.1949   -5.8213   -0.0806    2.3762   -0.9393    0.1462    3.1326    0.3711    0.3780    0.1553    1.4923    0.0391    1.1564    0.0705
+#> 498:    92.1950   -5.8215   -0.0808    2.3758   -0.9394    0.1462    3.1331    0.3710    0.3779    0.1553    1.4926    0.0391    1.1568    0.0705
+#> 499:    92.1953   -5.8219   -0.0810    2.3754   -0.9395    0.1461    3.1343    0.3709    0.3778    0.1554    1.4929    0.0391    1.1567    0.0705
+#> 500:    92.1957   -5.8232   -0.0812    2.3751   -0.9395    0.1459    3.1411    0.3709    0.3776    0.1554    1.4931    0.0391    1.1575    0.0705
+#> Calculating covariance matrix
+#> 
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> Needed Covariates:
+#> [1] "CMT"
+#> Calculating residuals/tables
+#> done
+f_nlmixr_fomc_sfo_focei_obs_tc <- nlmixr(f_mmkin_tc["FOMC-SFO", ], est = "focei",
+  error_model = "obs_tc")
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → calculate jacobian
+#> 
+#> → calculate sensitivities
+#> 
+#> → calculate ∂(f)/∂(η)
+#> 
+#> → calculate ∂(R²)/∂(η)
+#> 
+#> → finding duplicate expressions in inner model...
+#> 
+#> → optimizing duplicate expressions in inner model...
+#> 
+#> → finding duplicate expressions in EBE model...
+#> 
+#> → optimizing duplicate expressions in EBE model...
+#> 
+#> → compiling inner model...
+#>  
+#> ✔ done
+#> → finding duplicate expressions in FD model...
+#> 
+#> → optimizing duplicate expressions in FD model...
+#> 
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> → compiling events FD model...
+#>  
+#> ✔ done
+#> Needed Covariates:
+#> [1] "CMT"
+#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
+#> F: Forward difference gradient approximation
+#> C: Central difference gradient approximation
+#> M: Mixed forward and central difference gradient approximation
+#> Unscaled parameters for Omegas=chol(solve(omega));
+#> Diagonals are transformed, as specified by foceiControl(diagXform=)
+#> |-----+---------------+-----------+-----------+-----------+-----------|
+#> |    #| Objective Fun |  parent_0 |  log_k_A1 |f_parent_qlogis | log_alpha |
+#> |.....................|  log_beta |sigma_low_parent |rsd_high_parent |sigma_low_A1 |
+#> |.....................|rsd_high_A1 |        o1 |        o2 |        o3 |
+#> |.....................|        o4 |        o5 |...........|...........|
+#> |    1|     500.20030 |     1.000 |    -1.000 |   -0.9113 |   -0.8944 |
+#> |.....................|   -0.8454 |   -0.8678 |   -0.8916 |   -0.8678 |
+#> |.....................|   -0.8916 |   -0.8767 |   -0.8743 |   -0.8675 |
+#> |.....................|   -0.8704 |   -0.8704 |...........|...........|
+#> |    U|      500.2003 |     93.00 |    -5.300 |   -0.9400 |   -0.1100 |
+#> |.....................|     2.300 |     1.200 |   0.03000 |     1.200 |
+#> |.....................|   0.03000 |    0.7598 |    0.8758 |     1.214 |
+#> |.....................|     1.068 |     1.071 |...........|...........|
+#> |    X|      500.2003 |     93.00 |  0.004992 |    0.2809 |    0.8958 |
+#> |.....................|     9.974 |     1.200 |   0.03000 |     1.200 |
+#> |.....................|   0.03000 |    0.7598 |    0.8758 |     1.214 |
+#> |.....................|     1.068 |     1.071 |...........|...........|
+#> |    G|    Gill Diff. |     48.88 |     2.383 |    0.1231 |    0.1986 |
+#> |.....................|    0.1571 |    -68.85 |    -20.11 |     3.616 |
+#> |.....................|    -2.292 |    0.6250 |     11.41 |    -12.48 |
+#> |.....................|    -9.903 |    -10.91 |...........|...........|
+#> |    2|     2737.7532 |    0.4556 |    -1.027 |   -0.9127 |   -0.8966 |
+#> |.....................|   -0.8471 |   -0.1009 |   -0.6676 |   -0.9080 |
+#> |.....................|   -0.8660 |   -0.8837 |    -1.001 |   -0.7285 |
+#> |.....................|   -0.7601 |   -0.7489 |...........|...........|
+#> |    U|     2737.7532 |     42.37 |    -5.327 |   -0.9413 |   -0.1122 |
+#> |.....................|     2.298 |     1.660 |   0.03336 |     1.176 |
+#> |.....................|   0.03038 |    0.7545 |    0.7645 |     1.383 |
+#> |.....................|     1.185 |     1.201 |...........|...........|
+#> |    X|     2737.7532 |     42.37 |  0.004861 |    0.2806 |    0.8939 |
+#> |.....................|     9.957 |     1.660 |   0.03336 |     1.176 |
+#> |.....................|   0.03038 |    0.7545 |    0.7645 |     1.383 |
+#> |.....................|     1.185 |     1.201 |...........|...........|
+#> |    3|     513.07755 |    0.9456 |    -1.003 |   -0.9114 |   -0.8946 |
+#> |.....................|   -0.8455 |   -0.7911 |   -0.8692 |   -0.8718 |
+#> |.....................|   -0.8890 |   -0.8774 |   -0.8871 |   -0.8536 |
+#> |.....................|   -0.8594 |   -0.8582 |...........|...........|
+#> |    U|     513.07755 |     87.94 |    -5.303 |   -0.9401 |   -0.1102 |
+#> |.....................|     2.300 |     1.246 |   0.03034 |     1.198 |
+#> |.....................|   0.03004 |    0.7593 |    0.8646 |     1.231 |
+#> |.....................|     1.079 |     1.084 |...........|...........|
+#> |    X|     513.07755 |     87.94 |  0.004978 |    0.2809 |    0.8956 |
+#> |.....................|     9.972 |     1.246 |   0.03034 |     1.198 |
+#> |.....................|   0.03004 |    0.7593 |    0.8646 |     1.231 |
+#> |.....................|     1.079 |     1.084 |...........|...........|
+#> |    4|     499.28604 |    0.9888 |    -1.001 |   -0.9113 |   -0.8945 |
+#> |.....................|   -0.8454 |   -0.8520 |   -0.8870 |   -0.8686 |
+#> |.....................|   -0.8910 |   -0.8769 |   -0.8770 |   -0.8646 |
+#> |.....................|   -0.8682 |   -0.8679 |...........|...........|
+#> |    U|     499.28604 |     91.96 |    -5.301 |   -0.9400 |   -0.1100 |
+#> |.....................|     2.300 |     1.209 |   0.03007 |     1.200 |
+#> |.....................|   0.03001 |    0.7597 |    0.8735 |     1.218 |
+#> |.....................|     1.070 |     1.074 |...........|...........|
+#> |    X|     499.28604 |     91.96 |  0.004989 |    0.2809 |    0.8958 |
+#> |.....................|     9.974 |     1.209 |   0.03007 |     1.200 |
+#> |.....................|   0.03001 |    0.7597 |    0.8735 |     1.218 |
+#> |.....................|     1.070 |     1.074 |...........|...........|
+#> |    F| Forward Diff. |    -111.5 |     2.236 |   -0.2057 |    0.1035 |
+#> |.....................|   -0.1971 |    -66.17 |    -21.17 |     4.107 |
+#> |.....................|    -1.586 |     1.583 |     8.991 |    -11.70 |
+#> |.....................|    -9.625 |    -10.49 |...........|...........|
+#> |    5|     497.76004 |     1.001 |    -1.001 |   -0.9113 |   -0.8945 |
+#> |.....................|   -0.8454 |   -0.8366 |   -0.8822 |   -0.8695 |
+#> |.....................|   -0.8906 |   -0.8771 |   -0.8792 |   -0.8619 |
+#> |.....................|   -0.8660 |   -0.8654 |...........|...........|
+#> |    U|     497.76004 |     93.05 |    -5.301 |   -0.9400 |   -0.1101 |
+#> |.....................|     2.300 |     1.219 |   0.03014 |     1.199 |
+#> |.....................|   0.03001 |    0.7595 |    0.8715 |     1.221 |
+#> |.....................|     1.072 |     1.076 |...........|...........|
+#> |    X|     497.76004 |     93.05 |  0.004986 |    0.2809 |    0.8958 |
+#> |.....................|     9.974 |     1.219 |   0.03014 |     1.199 |
+#> |.....................|   0.03001 |    0.7595 |    0.8715 |     1.221 |
+#> |.....................|     1.072 |     1.076 |...........|...........|
+#> |    F| Forward Diff. |     56.91 |     2.356 |    0.1468 |    0.2109 |
+#> |.....................|    0.1761 |    -64.61 |    -18.67 |     3.291 |
+#> |.....................|    -1.680 |     1.108 |     8.338 |    -11.70 |
+#> |.....................|    -9.518 |    -10.47 |...........|...........|
+#> |    6|     496.73820 |    0.9899 |    -1.002 |   -0.9113 |   -0.8945 |
+#> |.....................|   -0.8454 |   -0.8205 |   -0.8775 |   -0.8703 |
+#> |.....................|   -0.8902 |   -0.8774 |   -0.8813 |   -0.8590 |
+#> |.....................|   -0.8636 |   -0.8628 |...........|...........|
+#> |    U|      496.7382 |     92.06 |    -5.302 |   -0.9400 |   -0.1101 |
+#> |.....................|     2.300 |     1.228 |   0.03021 |     1.198 |
+#> |.....................|   0.03002 |    0.7593 |    0.8696 |     1.225 |
+#> |.....................|     1.075 |     1.079 |...........|...........|
+#> |    X|      496.7382 |     92.06 |  0.004983 |    0.2809 |    0.8957 |
+#> |.....................|     9.974 |     1.228 |   0.03021 |     1.198 |
+#> |.....................|   0.03002 |    0.7593 |    0.8696 |     1.225 |
+#> |.....................|     1.075 |     1.079 |...........|...........|
+#> |    F| Forward Diff. |    -94.52 |     2.222 |   -0.1721 |    0.1131 |
+#> |.....................|   -0.1712 |    -62.76 |    -19.55 |     3.974 |
+#> |.....................|    -1.718 |     1.304 |     7.360 |    -11.47 |
+#> |.....................|    -9.402 |    -10.21 |...........|...........|
+#> |    7|     495.33979 |     1.001 |    -1.002 |   -0.9113 |   -0.8946 |
+#> |.....................|   -0.8454 |   -0.8044 |   -0.8726 |   -0.8713 |
+#> |.....................|   -0.8897 |   -0.8777 |   -0.8834 |   -0.8560 |
+#> |.....................|   -0.8612 |   -0.8602 |...........|...........|
+#> |    U|     495.33979 |     93.05 |    -5.302 |   -0.9400 |   -0.1102 |
+#> |.....................|     2.300 |     1.238 |   0.03028 |     1.198 |
+#> |.....................|   0.03003 |    0.7591 |    0.8679 |     1.228 |
+#> |.....................|     1.077 |     1.082 |...........|...........|
+#> |    X|     495.33979 |     93.05 |  0.004981 |    0.2809 |    0.8957 |
+#> |.....................|     9.974 |     1.238 |   0.03028 |     1.198 |
+#> |.....................|   0.03003 |    0.7591 |    0.8679 |     1.228 |
+#> |.....................|     1.077 |     1.082 |...........|...........|
+#> |    F| Forward Diff. |     56.11 |     2.327 |    0.1520 |    0.2091 |
+#> |.....................|    0.1742 |    -61.13 |    -17.23 |     3.435 |
+#> |.....................|    -1.620 |     1.132 |     9.399 |    -11.44 |
+#> |.....................|    -9.328 |    -10.19 |...........|...........|
+#> |    8|     494.31617 |    0.9904 |    -1.003 |   -0.9113 |   -0.8946 |
+#> |.....................|   -0.8455 |   -0.7881 |   -0.8680 |   -0.8722 |
+#> |.....................|   -0.8893 |   -0.8780 |   -0.8859 |   -0.8530 |
+#> |.....................|   -0.8587 |   -0.8575 |...........|...........|
+#> |    U|     494.31617 |     92.11 |    -5.303 |   -0.9400 |   -0.1102 |
+#> |.....................|     2.300 |     1.248 |   0.03035 |     1.197 |
+#> |.....................|   0.03003 |    0.7589 |    0.8657 |     1.232 |
+#> |.....................|     1.080 |     1.085 |...........|...........|
+#> |    X|     494.31617 |     92.11 |  0.004977 |    0.2809 |    0.8956 |
+#> |.....................|     9.973 |     1.248 |   0.03035 |     1.197 |
+#> |.....................|   0.03003 |    0.7589 |    0.8657 |     1.232 |
+#> |.....................|     1.080 |     1.085 |...........|...........|
+#> |    F| Forward Diff. |    -86.81 |     2.198 |   -0.1566 |    0.1238 |
+#> |.....................|   -0.1638 |    -59.37 |    -18.02 |     4.057 |
+#> |.....................|    -1.591 |     1.325 |     8.479 |    -11.19 |
+#> |.....................|    -9.201 |    -9.937 |...........|...........|
+#> |    9|     493.00423 |     1.001 |    -1.003 |   -0.9113 |   -0.8947 |
+#> |.....................|   -0.8454 |   -0.7718 |   -0.8631 |   -0.8732 |
+#> |.....................|   -0.8888 |   -0.8783 |   -0.8883 |   -0.8499 |
+#> |.....................|   -0.8562 |   -0.8548 |...........|...........|
+#> |    U|     493.00423 |     93.05 |    -5.303 |   -0.9400 |   -0.1103 |
+#> |.....................|     2.300 |     1.258 |   0.03043 |     1.197 |
+#> |.....................|   0.03004 |    0.7586 |    0.8635 |     1.236 |
+#> |.....................|     1.083 |     1.088 |...........|...........|
+#> |    X|     493.00423 |     93.05 |  0.004974 |    0.2809 |    0.8956 |
+#> |.....................|     9.974 |     1.258 |   0.03043 |     1.197 |
+#> |.....................|   0.03004 |    0.7586 |    0.8635 |     1.236 |
+#> |.....................|     1.083 |     1.088 |...........|...........|
+#> |    F| Forward Diff. |     54.84 |     2.286 |    0.1404 |    0.2142 |
+#> |.....................|    0.1628 |    -57.96 |    -15.94 |     3.372 |
+#> |.....................|    -1.642 |     1.184 |     9.036 |    -11.17 |
+#> |.....................|    -9.110 |    -9.901 |...........|...........|
+#> |   10|     491.99601 |    0.9908 |    -1.004 |   -0.9114 |   -0.8947 |
+#> |.....................|   -0.8455 |   -0.7552 |   -0.8585 |   -0.8742 |
+#> |.....................|   -0.8884 |   -0.8786 |   -0.8910 |   -0.8467 |
+#> |.....................|   -0.8536 |   -0.8520 |...........|...........|
+#> |    U|     491.99601 |     92.15 |    -5.304 |   -0.9401 |   -0.1103 |
+#> |.....................|     2.300 |     1.268 |   0.03050 |     1.196 |
+#> |.....................|   0.03005 |    0.7584 |    0.8612 |     1.239 |
+#> |.....................|     1.085 |     1.091 |...........|...........|
+#> |    X|     491.99601 |     92.15 |  0.004971 |    0.2809 |    0.8956 |
+#> |.....................|     9.973 |     1.268 |   0.03050 |     1.196 |
+#> |.....................|   0.03005 |    0.7584 |    0.8612 |     1.239 |
+#> |.....................|     1.085 |     1.091 |...........|...........|
+#> |    F| Forward Diff. |    -80.67 |     2.171 |   -0.1367 |    0.1256 |
+#> |.....................|   -0.1610 |    -56.13 |    -16.61 |     4.047 |
+#> |.....................|    -1.607 |     1.226 |     8.142 |    -10.92 |
+#> |.....................|    -8.982 |    -9.644 |...........|...........|
+#> |   11|     490.76421 |     1.000 |    -1.005 |   -0.9113 |   -0.8948 |
+#> |.....................|   -0.8455 |   -0.7388 |   -0.8538 |   -0.8754 |
+#> |.....................|   -0.8879 |   -0.8790 |   -0.8935 |   -0.8435 |
+#> |.....................|   -0.8510 |   -0.8492 |...........|...........|
+#> |    U|     490.76421 |     93.04 |    -5.305 |   -0.9401 |   -0.1104 |
+#> |.....................|     2.300 |     1.277 |   0.03057 |     1.195 |
+#> |.....................|   0.03006 |    0.7581 |    0.8590 |     1.243 |
+#> |.....................|     1.088 |     1.094 |...........|...........|
+#> |    X|     490.76421 |     93.04 |  0.004968 |    0.2809 |    0.8955 |
+#> |.....................|     9.973 |     1.277 |   0.03057 |     1.195 |
+#> |.....................|   0.03006 |    0.7581 |    0.8590 |     1.243 |
+#> |.....................|     1.088 |     1.094 |...........|...........|
+#> |    F| Forward Diff. |     54.34 |     2.256 |    0.1715 |    0.2224 |
+#> |.....................|    0.1653 |    -54.87 |    -14.72 |     3.299 |
+#> |.....................|    -1.777 |     1.023 |     8.651 |    -10.90 |
+#> |.....................|    -8.887 |    -9.594 |...........|...........|
+#> |   12|     489.76286 |    0.9913 |    -1.005 |   -0.9114 |   -0.8948 |
+#> |.....................|   -0.8455 |   -0.7220 |   -0.8492 |   -0.8764 |
+#> |.....................|   -0.8873 |   -0.8793 |   -0.8962 |   -0.8402 |
+#> |.....................|   -0.8483 |   -0.8462 |...........|...........|
+#> |    U|     489.76286 |     92.19 |    -5.305 |   -0.9401 |   -0.1104 |
+#> |.....................|     2.300 |     1.287 |   0.03063 |     1.195 |
+#> |.....................|   0.03006 |    0.7579 |    0.8566 |     1.247 |
+#> |.....................|     1.091 |     1.097 |...........|...........|
+#> |    X|     489.76286 |     92.19 |  0.004965 |    0.2809 |    0.8955 |
+#> |.....................|     9.973 |     1.287 |   0.03063 |     1.195 |
+#> |.....................|   0.03006 |    0.7579 |    0.8566 |     1.247 |
+#> |.....................|     1.091 |     1.097 |...........|...........|
+#> |    F| Forward Diff. |    -73.18 |     2.145 |   -0.1190 |    0.1261 |
+#> |.....................|   -0.1580 |    -53.08 |    -15.27 |     4.015 |
+#> |.....................|    -1.639 |     1.110 |     7.813 |    -10.65 |
+#> |.....................|    -8.743 |    -9.338 |...........|...........|
+#> |   13|     488.61493 |     1.000 |    -1.006 |   -0.9114 |   -0.8949 |
+#> |.....................|   -0.8455 |   -0.7053 |   -0.8446 |   -0.8776 |
+#> |.....................|   -0.8867 |   -0.8796 |   -0.8989 |   -0.8368 |
+#> |.....................|   -0.8455 |   -0.8433 |...........|...........|
+#> |    U|     488.61493 |     93.04 |    -5.306 |   -0.9401 |   -0.1105 |
+#> |.....................|     2.300 |     1.297 |   0.03070 |     1.194 |
+#> |.....................|   0.03007 |    0.7577 |    0.8543 |     1.252 |
+#> |.....................|     1.094 |     1.100 |...........|...........|
+#> |    X|     488.61493 |     93.04 |  0.004961 |    0.2809 |    0.8954 |
+#> |.....................|     9.973 |     1.297 |   0.03070 |     1.194 |
+#> |.....................|   0.03007 |    0.7577 |    0.8543 |     1.252 |
+#> |.....................|     1.094 |     1.100 |...........|...........|
+#> |    F| Forward Diff. |     54.41 |     2.230 |    0.1889 |    0.2376 |
+#> |.....................|    0.1637 |    -52.01 |    -13.54 |     3.223 |
+#> |.....................|    -1.937 |    0.8847 |     10.07 |    -10.59 |
+#> |.....................|    -8.650 |    -9.282 |...........|...........|
+#> |   14|     487.61806 |    0.9919 |    -1.007 |   -0.9114 |   -0.8949 |
+#> |.....................|   -0.8455 |   -0.6884 |   -0.8402 |   -0.8788 |
+#> |.....................|   -0.8861 |   -0.8798 |   -0.9022 |   -0.8333 |
+#> |.....................|   -0.8427 |   -0.8402 |...........|...........|
+#> |    U|     487.61806 |     92.24 |    -5.307 |   -0.9401 |   -0.1105 |
+#> |.....................|     2.300 |     1.308 |   0.03077 |     1.193 |
+#> |.....................|   0.03008 |    0.7575 |    0.8514 |     1.256 |
+#> |.....................|     1.097 |     1.103 |...........|...........|
+#> |    X|     487.61806 |     92.24 |  0.004958 |    0.2809 |    0.8953 |
+#> |.....................|     9.973 |     1.308 |   0.03077 |     1.193 |
+#> |.....................|   0.03008 |    0.7575 |    0.8514 |     1.256 |
+#> |.....................|     1.097 |     1.103 |...........|...........|
+#> |    F| Forward Diff. |    -64.97 |     2.116 |  -0.09941 |    0.1372 |
+#> |.....................|   -0.1475 |    -50.35 |    -14.02 |     3.916 |
+#> |.....................|    -1.790 |    0.8979 |     9.163 |    -10.32 |
+#> |.....................|    -8.505 |    -9.022 |...........|...........|
+#> |   15|     486.55968 |     1.001 |    -1.008 |   -0.9114 |   -0.8950 |
+#> |.....................|   -0.8455 |   -0.6717 |   -0.8358 |   -0.8800 |
+#> |.....................|   -0.8854 |   -0.8801 |   -0.9058 |   -0.8297 |
+#> |.....................|   -0.8398 |   -0.8372 |...........|...........|
+#> |    U|     486.55968 |     93.05 |    -5.308 |   -0.9401 |   -0.1106 |
+#> |.....................|     2.300 |     1.318 |   0.03084 |     1.193 |
+#> |.....................|   0.03009 |    0.7573 |    0.8482 |     1.260 |
+#> |.....................|     1.100 |     1.107 |...........|...........|
+#> |    X|     486.55968 |     93.05 |  0.004954 |    0.2809 |    0.8953 |
+#> |.....................|     9.973 |     1.318 |   0.03084 |     1.193 |
+#> |.....................|   0.03009 |    0.7573 |    0.8482 |     1.260 |
+#> |.....................|     1.100 |     1.107 |...........|...........|
+#> |    F| Forward Diff. |     55.08 |     2.188 |    0.1916 |    0.2341 |
+#> |.....................|    0.1660 |    -48.95 |    -12.27 |     3.347 |
+#> |.....................|    -1.726 |    0.9589 |     6.446 |    -10.30 |
+#> |.....................|    -8.390 |    -8.950 |...........|...........|
+#> |   16|     485.60262 |    0.9920 |    -1.008 |   -0.9115 |   -0.8951 |
+#> |.....................|   -0.8455 |   -0.6547 |   -0.8316 |   -0.8813 |
+#> |.....................|   -0.8847 |   -0.8804 |   -0.9083 |   -0.8260 |
+#> |.....................|   -0.8367 |   -0.8340 |...........|...........|
+#> |    U|     485.60262 |     92.26 |    -5.308 |   -0.9402 |   -0.1107 |
+#> |.....................|     2.300 |     1.328 |   0.03090 |     1.192 |
+#> |.....................|   0.03010 |    0.7571 |    0.8460 |     1.265 |
+#> |.....................|     1.104 |     1.110 |...........|...........|
+#> |    X|     485.60262 |     92.26 |  0.004950 |    0.2809 |    0.8952 |
+#> |.....................|     9.973 |     1.328 |   0.03090 |     1.192 |
+#> |.....................|   0.03010 |    0.7571 |    0.8460 |     1.265 |
+#> |.....................|     1.104 |     1.110 |...........|...........|
+#> |    F| Forward Diff. |    -62.47 |     2.078 |  -0.09882 |    0.1294 |
+#> |.....................|   -0.1587 |    -47.42 |    -12.81 |     3.926 |
+#> |.....................|    -1.683 |    0.9415 |     5.611 |    -10.02 |
+#> |.....................|    -8.237 |    -8.679 |...........|...........|
+#> |   17|     484.58535 |     1.000 |    -1.009 |   -0.9115 |   -0.8952 |
+#> |.....................|   -0.8455 |   -0.6375 |   -0.8274 |   -0.8829 |
+#> |.....................|   -0.8840 |   -0.8807 |   -0.9099 |   -0.8222 |
+#> |.....................|   -0.8336 |   -0.8307 |...........|...........|
+#> |    U|     484.58535 |     93.02 |    -5.309 |   -0.9402 |   -0.1107 |
+#> |.....................|     2.300 |     1.338 |   0.03096 |     1.191 |
+#> |.....................|   0.03011 |    0.7568 |    0.8446 |     1.269 |
+#> |.....................|     1.107 |     1.114 |...........|...........|
+#> |    X|     484.58535 |     93.02 |  0.004946 |    0.2809 |    0.8952 |
+#> |.....................|     9.973 |     1.338 |   0.03096 |     1.191 |
+#> |.....................|   0.03011 |    0.7568 |    0.8446 |     1.269 |
+#> |.....................|     1.107 |     1.114 |...........|...........|
+#> |    F| Forward Diff. |     50.15 |     2.155 |    0.1960 |    0.2225 |
+#> |.....................|    0.1509 |    -46.14 |    -11.19 |     3.405 |
+#> |.....................|    -1.652 |     1.035 |     7.536 |    -9.951 |
+#> |.....................|    -8.121 |    -8.609 |...........|...........|
+#> |   18|     483.66860 |    0.9923 |    -1.010 |   -0.9115 |   -0.8952 |
+#> |.....................|   -0.8455 |   -0.6203 |   -0.8235 |   -0.8844 |
+#> |.....................|   -0.8833 |   -0.8810 |   -0.9123 |   -0.8182 |
+#> |.....................|   -0.8303 |   -0.8273 |...........|...........|
+#> |    U|      483.6686 |     92.29 |    -5.310 |   -0.9402 |   -0.1108 |
+#> |.....................|     2.300 |     1.348 |   0.03102 |     1.190 |
+#> |.....................|   0.03012 |    0.7565 |    0.8425 |     1.274 |
+#> |.....................|     1.110 |     1.117 |...........|...........|
+#> |    X|      483.6686 |     92.29 |  0.004942 |    0.2809 |    0.8951 |
+#> |.....................|     9.973 |     1.348 |   0.03102 |     1.190 |
+#> |.....................|   0.03012 |    0.7565 |    0.8425 |     1.274 |
+#> |.....................|     1.110 |     1.117 |...........|...........|
+#> |    F| Forward Diff. |    -57.62 |     2.059 |  -0.07549 |    0.1395 |
+#> |.....................|   -0.1501 |    -44.74 |    -11.66 |     3.913 |
+#> |.....................|    -1.664 |    0.8845 |     6.781 |    -9.703 |
+#> |.....................|    -7.961 |    -8.325 |...........|...........|
+#> |   19|     482.71012 |     1.000 |    -1.011 |   -0.9115 |   -0.8953 |
+#> |.....................|   -0.8455 |   -0.6032 |   -0.8198 |   -0.8861 |
+#> |.....................|   -0.8825 |   -0.8814 |   -0.9153 |   -0.8141 |
+#> |.....................|   -0.8270 |   -0.8239 |...........|...........|
+#> |    U|     482.71012 |     93.02 |    -5.311 |   -0.9402 |   -0.1109 |
+#> |.....................|     2.300 |     1.359 |   0.03108 |     1.189 |
+#> |.....................|   0.03014 |    0.7563 |    0.8399 |     1.279 |
+#> |.....................|     1.114 |     1.121 |...........|...........|
+#> |    X|     482.71012 |     93.02 |  0.004937 |    0.2809 |    0.8950 |
+#> |.....................|     9.973 |     1.359 |   0.03108 |     1.189 |
+#> |.....................|   0.03014 |    0.7563 |    0.8399 |     1.279 |
+#> |.....................|     1.114 |     1.121 |...........|...........|
+#> |    F| Forward Diff. |     48.98 |     2.122 |    0.2043 |    0.2315 |
+#> |.....................|    0.1449 |    -43.47 |    -10.15 |     3.365 |
+#> |.....................|    -1.703 |    0.9582 |     7.160 |    -9.600 |
+#> |.....................|    -7.838 |    -8.245 |...........|...........|
+#> |   20|     481.83107 |    0.9926 |    -1.012 |   -0.9116 |   -0.8954 |
+#> |.....................|   -0.8455 |   -0.5860 |   -0.8164 |   -0.8879 |
+#> |.....................|   -0.8817 |   -0.8818 |   -0.9184 |   -0.8098 |
+#> |.....................|   -0.8235 |   -0.8203 |...........|...........|
+#> |    U|     481.83107 |     92.31 |    -5.312 |   -0.9403 |   -0.1110 |
+#> |.....................|     2.300 |     1.369 |   0.03113 |     1.188 |
+#> |.....................|   0.03015 |    0.7560 |    0.8372 |     1.284 |
+#> |.....................|     1.118 |     1.125 |...........|...........|
+#> |    X|     481.83107 |     92.31 |  0.004932 |    0.2808 |    0.8949 |
+#> |.....................|     9.973 |     1.369 |   0.03113 |     1.188 |
+#> |.....................|   0.03015 |    0.7560 |    0.8372 |     1.284 |
+#> |.....................|     1.118 |     1.125 |...........|...........|
+#> |    F| Forward Diff. |    -54.27 |     2.027 |  -0.06740 |    0.1414 |
+#> |.....................|   -0.1465 |    -41.84 |    -10.48 |     3.798 |
+#> |.....................|    -1.730 |    0.8044 |     6.401 |    -9.335 |
+#> |.....................|    -7.662 |    -7.960 |...........|...........|
+#> |   21|     480.92878 |     1.000 |    -1.013 |   -0.9117 |   -0.8955 |
+#> |.....................|   -0.8455 |   -0.5689 |   -0.8133 |   -0.8899 |
+#> |.....................|   -0.8807 |   -0.8821 |   -0.9215 |   -0.8053 |
+#> |.....................|   -0.8199 |   -0.8166 |...........|...........|
+#> |    U|     480.92878 |     93.01 |    -5.313 |   -0.9403 |   -0.1111 |
+#> |.....................|     2.300 |     1.379 |   0.03117 |     1.187 |
+#> |.....................|   0.03016 |    0.7557 |    0.8345 |     1.290 |
+#> |.....................|     1.122 |     1.129 |...........|...........|
+#> |    X|     480.92878 |     93.01 |  0.004927 |    0.2808 |    0.8948 |
+#> |.....................|     9.973 |     1.379 |   0.03117 |     1.187 |
+#> |.....................|   0.03016 |    0.7557 |    0.8345 |     1.290 |
+#> |.....................|     1.122 |     1.129 |...........|...........|
+#> |    F| Forward Diff. |     47.18 |     2.077 |    0.1996 |    0.2200 |
+#> |.....................|    0.1318 |    -41.07 |    -9.197 |     3.259 |
+#> |.....................|    -1.748 |    0.9101 |     6.743 |    -9.229 |
+#> |.....................|    -7.511 |    -7.855 |...........|...........|
+#> |   22|     480.07574 |    0.9930 |    -1.014 |   -0.9117 |   -0.8956 |
+#> |.....................|   -0.8455 |   -0.5517 |   -0.8106 |   -0.8919 |
+#> |.....................|   -0.8795 |   -0.8825 |   -0.9247 |   -0.8007 |
+#> |.....................|   -0.8161 |   -0.8129 |...........|...........|
+#> |    U|     480.07574 |     92.35 |    -5.314 |   -0.9404 |   -0.1112 |
+#> |.....................|     2.300 |     1.390 |   0.03121 |     1.186 |
+#> |.....................|   0.03018 |    0.7555 |    0.8317 |     1.295 |
+#> |.....................|     1.126 |     1.133 |...........|...........|
+#> |    X|     480.07574 |     92.35 |  0.004921 |    0.2808 |    0.8947 |
+#> |.....................|     9.973 |     1.390 |   0.03121 |     1.186 |
+#> |.....................|   0.03018 |    0.7555 |    0.8317 |     1.295 |
+#> |.....................|     1.126 |     1.133 |...........|...........|
+#> |    F| Forward Diff. |    -48.22 |     1.995 |  -0.04658 |    0.1415 |
+#> |.....................|   -0.1316 |    -39.56 |    -9.522 |     3.639 |
+#> |.....................|    -1.878 |    0.6154 |     4.556 |    -8.937 |
+#> |.....................|    -7.320 |    -7.563 |...........|...........|
+#> |   23|     479.25211 |     1.000 |    -1.015 |   -0.9118 |   -0.8957 |
+#> |.....................|   -0.8454 |   -0.5343 |   -0.8082 |   -0.8940 |
+#> |.....................|   -0.8781 |   -0.8826 |   -0.9261 |   -0.7958 |
+#> |.....................|   -0.8122 |   -0.8090 |...........|...........|
+#> |    U|     479.25211 |     93.02 |    -5.315 |   -0.9405 |   -0.1113 |
+#> |.....................|     2.300 |     1.400 |   0.03125 |     1.184 |
+#> |.....................|   0.03020 |    0.7553 |    0.8305 |     1.301 |
+#> |.....................|     1.130 |     1.137 |...........|...........|
+#> |    X|     479.25211 |     93.02 |  0.004915 |    0.2808 |    0.8946 |
+#> |.....................|     9.974 |     1.400 |   0.03125 |     1.184 |
+#> |.....................|   0.03020 |    0.7553 |    0.8305 |     1.301 |
+#> |.....................|     1.130 |     1.137 |...........|...........|
+#> |    F| Forward Diff. |     48.39 |     2.048 |    0.2189 |    0.2175 |
+#> |.....................|    0.1393 |    -38.80 |    -8.286 |     3.169 |
+#> |.....................|    -1.757 |    0.9021 |     6.456 |    -8.802 |
+#> |.....................|    -7.165 |    -7.452 |...........|...........|
+#> |   24|     478.42395 |    0.9935 |    -1.017 |   -0.9119 |   -0.8959 |
+#> |.....................|   -0.8454 |   -0.5169 |   -0.8064 |   -0.8963 |
+#> |.....................|   -0.8766 |   -0.8829 |   -0.9277 |   -0.7908 |
+#> |.....................|   -0.8081 |   -0.8051 |...........|...........|
+#> |    U|     478.42395 |     92.40 |    -5.317 |   -0.9406 |   -0.1115 |
+#> |.....................|     2.300 |     1.411 |   0.03128 |     1.183 |
+#> |.....................|   0.03022 |    0.7552 |    0.8290 |     1.307 |
+#> |.....................|     1.134 |     1.141 |...........|...........|
+#> |    X|     478.42395 |     92.40 |  0.004909 |    0.2808 |    0.8945 |
+#> |.....................|     9.974 |     1.411 |   0.03128 |     1.183 |
+#> |.....................|   0.03022 |    0.7552 |    0.8290 |     1.307 |
+#> |.....................|     1.134 |     1.141 |...........|...........|
+#> |    F| Forward Diff. |    -41.65 |     1.977 |  -0.02866 |    0.1453 |
+#> |.....................|   -0.1180 |    -37.67 |    -8.677 |     3.579 |
+#> |.....................|    -1.774 |    0.6894 |     5.855 |    -8.506 |
+#> |.....................|    -6.962 |    -7.153 |...........|...........|
+#> |   25|     477.65816 |     1.000 |    -1.018 |   -0.9120 |   -0.8960 |
+#> |.....................|   -0.8454 |   -0.4997 |   -0.8051 |   -0.8988 |
+#> |.....................|   -0.8750 |   -0.8832 |   -0.9313 |   -0.7859 |
+#> |.....................|   -0.8042 |   -0.8013 |...........|...........|
+#> |    U|     477.65816 |     93.02 |    -5.318 |   -0.9406 |   -0.1116 |
+#> |.....................|     2.300 |     1.421 |   0.03130 |     1.181 |
+#> |.....................|   0.03025 |    0.7549 |    0.8259 |     1.313 |
+#> |.....................|     1.138 |     1.145 |...........|...........|
+#> |    X|     477.65816 |     93.02 |  0.004901 |    0.2808 |    0.8944 |
+#> |.....................|     9.974 |     1.421 |   0.03130 |     1.181 |
+#> |.....................|   0.03025 |    0.7549 |    0.8259 |     1.313 |
+#> |.....................|     1.138 |     1.145 |...........|...........|
+#> |    F| Forward Diff. |     47.50 |     2.013 |    0.2278 |    0.2145 |
+#> |.....................|    0.1415 |    -36.68 |    -7.460 |     3.039 |
+#> |.....................|    -1.807 |    0.8669 |     6.124 |    -8.373 |
+#> |.....................|    -6.814 |    -7.074 |...........|...........|
+#> |   26|     476.87668 |    0.9936 |    -1.020 |   -0.9121 |   -0.8962 |
+#> |.....................|   -0.8454 |   -0.4825 |   -0.8047 |   -0.9014 |
+#> |.....................|   -0.8732 |   -0.8836 |   -0.9351 |   -0.7808 |
+#> |.....................|   -0.8001 |   -0.7975 |...........|...........|
+#> |    U|     476.87668 |     92.41 |    -5.320 |   -0.9408 |   -0.1117 |
+#> |.....................|     2.300 |     1.431 |   0.03130 |     1.180 |
+#> |.....................|   0.03028 |    0.7546 |    0.8226 |     1.319 |
+#> |.....................|     1.143 |     1.149 |...........|...........|
+#> |    X|     476.87668 |     92.41 |  0.004893 |    0.2807 |    0.8943 |
+#> |.....................|     9.974 |     1.431 |   0.03130 |     1.180 |
+#> |.....................|   0.03028 |    0.7546 |    0.8226 |     1.319 |
+#> |.....................|     1.143 |     1.149 |...........|...........|
+#> |    F| Forward Diff. |    -40.64 |     1.935 |  -0.02164 |    0.1511 |
+#> |.....................|   -0.1127 |    -35.59 |    -7.858 |     3.450 |
+#> |.....................|    -1.805 |    0.6731 |     3.945 |    -8.048 |
+#> |.....................|    -6.589 |    -6.756 |...........|...........|
+#> |   27|     476.16299 |     1.000 |    -1.022 |   -0.9123 |   -0.8963 |
+#> |.....................|   -0.8454 |   -0.4651 |   -0.8047 |   -0.9041 |
+#> |.....................|   -0.8711 |   -0.8840 |   -0.9355 |   -0.7757 |
+#> |.....................|   -0.7959 |   -0.7936 |...........|...........|
+#> |    U|     476.16299 |     93.01 |    -5.322 |   -0.9409 |   -0.1119 |
+#> |.....................|     2.300 |     1.442 |   0.03130 |     1.178 |
+#> |.....................|   0.03031 |    0.7543 |    0.8222 |     1.326 |
+#> |.....................|     1.147 |     1.153 |...........|...........|
+#> |    X|     476.16299 |     93.01 |  0.004885 |    0.2807 |    0.8941 |
+#> |.....................|     9.974 |     1.442 |   0.03130 |     1.178 |
+#> |.....................|   0.03031 |    0.7543 |    0.8222 |     1.326 |
+#> |.....................|     1.147 |     1.153 |...........|...........|
+#> |    F| Forward Diff. |     44.38 |     1.982 |    0.2331 |    0.2213 |
+#> |.....................|    0.1467 |    -34.64 |    -6.709 |     2.894 |
+#> |.....................|    -1.888 |    0.7760 |     4.358 |    -7.901 |
+#> |.....................|    -6.419 |    -6.620 |...........|...........|
+#> |   28|     475.47434 |    0.9938 |    -1.024 |   -0.9125 |   -0.8966 |
+#> |.....................|   -0.8454 |   -0.4477 |   -0.8058 |   -0.9069 |
+#> |.....................|   -0.8685 |   -0.8844 |   -0.9328 |   -0.7706 |
+#> |.....................|   -0.7919 |   -0.7898 |...........|...........|
+#> |    U|     475.47434 |     92.43 |    -5.324 |   -0.9411 |   -0.1122 |
+#> |.....................|     2.300 |     1.452 |   0.03129 |     1.177 |
+#> |.....................|   0.03035 |    0.7540 |    0.8246 |     1.332 |
+#> |.....................|     1.151 |     1.157 |...........|...........|
+#> |    X|     475.47434 |     92.43 |  0.004875 |    0.2807 |    0.8939 |
+#> |.....................|     9.974 |     1.452 |   0.03129 |     1.177 |
+#> |.....................|   0.03035 |    0.7540 |    0.8246 |     1.332 |
+#> |.....................|     1.151 |     1.157 |...........|...........|
+#> |    F| Forward Diff. |    -38.01 |     1.932 |  -0.02542 |    0.1483 |
+#> |.....................|   -0.1147 |    -33.71 |    -7.114 |     3.216 |
+#> |.....................|    -1.879 |    0.6267 |     4.067 |    -7.573 |
+#> |.....................|    -6.213 |    -6.338 |...........|...........|
+#> |   29|     474.82575 |    0.9998 |    -1.026 |   -0.9126 |   -0.8968 |
+#> |.....................|   -0.8454 |   -0.4303 |   -0.8075 |   -0.9096 |
+#> |.....................|   -0.8656 |   -0.8846 |   -0.9310 |   -0.7657 |
+#> |.....................|   -0.7878 |   -0.7862 |...........|...........|
+#> |    U|     474.82575 |     92.98 |    -5.326 |   -0.9413 |   -0.1124 |
+#> |.....................|     2.300 |     1.462 |   0.03126 |     1.175 |
+#> |.....................|   0.03039 |    0.7538 |    0.8261 |     1.338 |
+#> |.....................|     1.156 |     1.161 |...........|...........|
+#> |    X|     474.82575 |     92.98 |  0.004864 |    0.2806 |    0.8937 |
+#> |.....................|     9.974 |     1.462 |   0.03126 |     1.175 |
+#> |.....................|   0.03039 |    0.7538 |    0.8261 |     1.338 |
+#> |.....................|     1.156 |     1.161 |...........|...........|
+#> |    F| Forward Diff. |     40.83 |     1.980 |    0.2123 |    0.2125 |
+#> |.....................|    0.1324 |    -32.65 |    -6.032 |     2.979 |
+#> |.....................|    -1.922 |    0.7692 |     4.596 |    -7.426 |
+#> |.....................|    -6.058 |    -6.217 |...........|...........|
+#> |   30|     474.18202 |    0.9939 |    -1.028 |   -0.9128 |   -0.8971 |
+#> |.....................|   -0.8454 |   -0.4131 |   -0.8106 |   -0.9130 |
+#> |.....................|   -0.8620 |   -0.8851 |   -0.9307 |   -0.7608 |
+#> |.....................|   -0.7838 |   -0.7828 |...........|...........|
+#> |    U|     474.18202 |     92.44 |    -5.328 |   -0.9414 |   -0.1127 |
+#> |.....................|     2.300 |     1.473 |   0.03121 |     1.173 |
+#> |.....................|   0.03044 |    0.7535 |    0.8264 |     1.344 |
+#> |.....................|     1.160 |     1.165 |...........|...........|
+#> |    X|     474.18202 |     92.44 |  0.004852 |    0.2806 |    0.8935 |
+#> |.....................|     9.974 |     1.473 |   0.03121 |     1.173 |
+#> |.....................|   0.03044 |    0.7535 |    0.8264 |     1.344 |
+#> |.....................|     1.160 |     1.165 |...........|...........|
+#> |    F| Forward Diff. |    -37.33 |     1.920 |  -0.03157 |    0.1462 |
+#> |.....................|   -0.1145 |    -31.92 |    -6.433 |     3.018 |
+#> |.....................|    -1.919 |    0.6114 |     5.640 |    -7.155 |
+#> |.....................|    -5.876 |    -5.958 |...........|...........|
+#> |   31|     473.55376 |    0.9995 |    -1.031 |   -0.9130 |   -0.8973 |
+#> |.....................|   -0.8454 |   -0.3971 |   -0.8148 |   -0.9162 |
+#> |.....................|   -0.8581 |   -0.8855 |   -0.9368 |   -0.7563 |
+#> |.....................|   -0.7800 |   -0.7797 |...........|...........|
+#> |    U|     473.55376 |     92.95 |    -5.331 |   -0.9416 |   -0.1129 |
+#> |.....................|     2.300 |     1.482 |   0.03115 |     1.171 |
+#> |.....................|   0.03050 |    0.7531 |    0.8211 |     1.349 |
+#> |.....................|     1.164 |     1.168 |...........|...........|
+#> |    X|     473.55376 |     92.95 |  0.004838 |    0.2806 |    0.8932 |
+#> |.....................|     9.974 |     1.482 |   0.03115 |     1.171 |
+#> |.....................|   0.03050 |    0.7531 |    0.8211 |     1.349 |
+#> |.....................|     1.164 |     1.168 |...........|...........|
+#> |   32|     472.90182 |    0.9995 |    -1.035 |   -0.9132 |   -0.8977 |
+#> |.....................|   -0.8453 |   -0.3799 |   -0.8225 |   -0.9204 |
+#> |.....................|   -0.8527 |   -0.8861 |   -0.9447 |   -0.7510 |
+#> |.....................|   -0.7757 |   -0.7763 |...........|...........|
+#> |    U|     472.90182 |     92.96 |    -5.335 |   -0.9418 |   -0.1133 |
+#> |.....................|     2.300 |     1.493 |   0.03104 |     1.168 |
+#> |.....................|   0.03058 |    0.7527 |    0.8141 |     1.356 |
+#> |.....................|     1.169 |     1.172 |...........|...........|
+#> |    X|     472.90182 |     92.96 |  0.004819 |    0.2805 |    0.8929 |
+#> |.....................|     9.975 |     1.493 |   0.03104 |     1.168 |
+#> |.....................|   0.03058 |    0.7527 |    0.8141 |     1.356 |
+#> |.....................|     1.169 |     1.172 |...........|...........|
+#> |   33|     469.90339 |    0.9997 |    -1.054 |   -0.9142 |   -0.8996 |
+#> |.....................|   -0.8452 |   -0.2944 |   -0.8611 |   -0.9412 |
+#> |.....................|   -0.8255 |   -0.8889 |   -0.9843 |   -0.7249 |
+#> |.....................|   -0.7539 |   -0.7597 |...........|...........|
+#> |    U|     469.90339 |     92.98 |    -5.354 |   -0.9427 |   -0.1152 |
+#> |.....................|     2.300 |     1.544 |   0.03046 |     1.156 |
+#> |.....................|   0.03099 |    0.7505 |    0.7794 |     1.387 |
+#> |.....................|     1.192 |     1.190 |...........|...........|
+#> |    X|     469.90339 |     92.98 |  0.004727 |    0.2803 |    0.8912 |
+#> |.....................|     9.976 |     1.544 |   0.03046 |     1.156 |
+#> |.....................|   0.03099 |    0.7505 |    0.7794 |     1.387 |
+#> |.....................|     1.192 |     1.190 |...........|...........|
+#> |   34|     461.71523 |     1.001 |    -1.134 |   -0.9184 |   -0.9072 |
+#> |.....................|   -0.8447 |   0.05742 |    -1.020 |    -1.027 |
+#> |.....................|   -0.7136 |   -0.9005 |    -1.147 |   -0.6175 |
+#> |.....................|   -0.6642 |   -0.6913 |...........|...........|
+#> |    U|     461.71523 |     93.05 |    -5.434 |   -0.9467 |   -0.1228 |
+#> |.....................|     2.301 |     1.755 |   0.02808 |     1.105 |
+#> |.....................|   0.03267 |    0.7417 |    0.6368 |     1.518 |
+#> |.....................|     1.288 |     1.263 |...........|...........|
+#> |    X|     461.71523 |     93.05 |  0.004366 |    0.2795 |    0.8844 |
+#> |.....................|     9.981 |     1.755 |   0.02808 |     1.105 |
+#> |.....................|   0.03267 |    0.7417 |    0.6368 |     1.518 |
+#> |.....................|     1.288 |     1.263 |...........|...........|
+#> |    F| Forward Diff. |     11.20 |     1.045 |     1.020 |    0.3495 |
+#> |.....................|    0.7923 |    -15.00 |   -0.3969 |    -1.315 |
+#> |.....................|    -3.031 |    0.2676 |    -6.780 |    -1.078 |
+#> |.....................|  -0.09081 |    -1.463 |...........|...........|
+#> |   35|     459.94653 |     1.009 |    -1.206 |   -0.9768 |   -0.9283 |
+#> |.....................|   -0.8884 |    0.4547 |    -1.238 |   -0.9419 |
+#> |.....................|   -0.5030 |   -0.9080 |   -0.7892 |   -0.6450 |
+#> |.....................|   -0.7313 |   -0.6959 |...........|...........|
+#> |    U|     459.94653 |     93.85 |    -5.506 |    -1.002 |   -0.1439 |
+#> |.....................|     2.257 |     1.993 |   0.02480 |     1.155 |
+#> |.....................|   0.03583 |    0.7361 |    0.9504 |     1.484 |
+#> |.....................|     1.216 |     1.258 |...........|...........|
+#> |    X|     459.94653 |     93.85 |  0.004064 |    0.2686 |    0.8660 |
+#> |.....................|     9.554 |     1.993 |   0.02480 |     1.155 |
+#> |.....................|   0.03583 |    0.7361 |    0.9504 |     1.484 |
+#> |.....................|     1.216 |     1.258 |...........|...........|
+#> |    F| Forward Diff. |     117.0 |     1.389 |    -1.721 |   -0.1200 |
+#> |.....................|  0.004314 |    -5.763 |     2.093 |     3.426 |
+#> |.....................|    -1.378 |     2.600 |     15.14 |    -1.236 |
+#> |.....................|    -4.018 |    -1.529 |...........|...........|
+#> |   36|     458.11528 |     1.003 |    -1.307 |   -0.9477 |   -0.9422 |
+#> |.....................|   -0.9430 |    0.6906 |    -1.630 |   -0.8850 |
+#> |.....................|   -0.1864 |    -1.043 |   -0.8947 |   -0.8359 |
+#> |.....................|   -0.7822 |   -0.7759 |...........|...........|
+#> |    U|     458.11528 |     93.30 |    -5.607 |   -0.9742 |   -0.1578 |
+#> |.....................|     2.202 |     2.135 |   0.01893 |     1.190 |
+#> |.....................|   0.04058 |    0.6334 |    0.8579 |     1.253 |
+#> |.....................|     1.162 |     1.172 |...........|...........|
+#> |    X|     458.11528 |     93.30 |  0.003671 |    0.2740 |    0.8540 |
+#> |.....................|     9.046 |     2.135 |   0.01893 |     1.190 |
+#> |.....................|   0.04058 |    0.6334 |    0.8579 |     1.253 |
+#> |.....................|     1.162 |     1.172 |...........|...........|
+#> |    F| Forward Diff. |    -4.502 |    0.8367 |   -0.1865 |   -0.1361 |
+#> |.....................|   -0.6555 |    -2.945 |     1.425 |     8.523 |
+#> |.....................|   -0.6882 |    -2.700 |     7.982 |    -9.961 |
+#> |.....................|    -6.514 |    -5.474 |...........|...........|
+#> |   37|     454.42202 |     1.008 |    -1.411 |   -0.9501 |   -0.9563 |
+#> |.....................|   -0.9900 |    0.8215 |    -2.099 |    -1.032 |
+#> |.....................|    0.1520 |    -1.049 |   -0.9274 |   -0.7533 |
+#> |.....................|   -0.7158 |   -0.7241 |...........|...........|
+#> |    U|     454.42202 |     93.74 |    -5.711 |   -0.9765 |   -0.1719 |
+#> |.....................|     2.155 |     2.214 |   0.01188 |     1.102 |
+#> |.....................|   0.04565 |    0.6287 |    0.8293 |     1.353 |
+#> |.....................|     1.233 |     1.228 |...........|...........|
+#> |    X|     454.42202 |     93.74 |  0.003311 |    0.2736 |    0.8421 |
+#> |.....................|     8.631 |     2.214 |   0.01188 |     1.102 |
+#> |.....................|   0.04565 |    0.6287 |    0.8293 |     1.353 |
+#> |.....................|     1.233 |     1.228 |...........|...........|
+#> |   38|     451.48622 |     1.000 |    -1.659 |   -0.9551 |   -0.9914 |
+#> |.....................|    -1.111 |     1.029 |    -2.892 |    -1.353 |
+#> |.....................|    0.9897 |    -1.076 |   -0.9627 |   -0.6147 |
+#> |.....................|   -0.5957 |   -0.6379 |...........|...........|
+#> |    U|     451.48622 |     93.01 |    -5.959 |   -0.9812 |   -0.2070 |
+#> |.....................|     2.035 |     2.338 | 5.960e-07 |    0.9088 |
+#> |.....................|   0.05822 |    0.6083 |    0.7984 |     1.521 |
+#> |.....................|     1.361 |     1.320 |...........|...........|
+#> |    X|     451.48622 |     93.01 |  0.002583 |    0.2727 |    0.8130 |
+#> |.....................|     7.651 |     2.338 | 5.960e-07 |    0.9088 |
+#> |.....................|   0.05822 |    0.6083 |    0.7984 |     1.521 |
+#> |.....................|     1.361 |     1.320 |...........|...........|
+#> |    F| Forward Diff. |    -68.34 |   0.03355 |   0.09905 |    -1.306 |
+#> |.....................|    -5.058 |    -1.204 |  -0.09883 |    -1.076 |
+#> |.....................|    -2.726 |    -4.145 |     7.646 |   -0.5743 |
+#> |.....................|     2.003 |     2.613 |...........|...........|
+#> |   39|     453.25472 |     1.003 |    -2.027 |    -1.069 |   -0.8933 |
+#> |.....................|   -0.6960 |     1.084 |    -2.892 |    -1.695 |
+#> |.....................|     2.689 |   -0.4882 |    -1.206 |   -0.2814 |
+#> |.....................|   -0.7545 |   -0.8496 |...........|...........|
+#> |    U|     453.25472 |     93.31 |    -6.327 |    -1.089 |   -0.1089 |
+#> |.....................|     2.449 |     2.371 | 5.960e-07 |    0.7037 |
+#> |.....................|   0.08370 |     1.055 |    0.5857 |     1.926 |
+#> |.....................|     1.191 |     1.093 |...........|...........|
+#> |    X|     453.25472 |     93.31 |  0.001787 |    0.2519 |    0.8968 |
+#> |.....................|     11.58 |     2.371 | 5.960e-07 |    0.7037 |
+#> |.....................|   0.08370 |     1.055 |    0.5857 |     1.926 |
+#> |.....................|     1.191 |     1.093 |...........|...........|
+#> |   40|     449.59369 |     1.000 |    -1.818 |    -1.010 |   -0.9508 |
+#> |.....................|   -0.9364 |     1.052 |    -2.892 |    -1.498 |
+#> |.....................|     1.730 |   -0.8175 |    -1.073 |   -0.4671 |
+#> |.....................|   -0.6691 |   -0.7270 |...........|...........|
+#> |    U|     449.59369 |     93.04 |    -6.118 |    -1.033 |   -0.1664 |
+#> |.....................|     2.209 |     2.352 | 5.960e-07 |    0.8216 |
+#> |.....................|   0.06933 |    0.8048 |    0.7021 |     1.700 |
+#> |.....................|     1.282 |     1.225 |...........|...........|
+#> |    X|     449.59369 |     93.04 |  0.002202 |    0.2625 |    0.8467 |
+#> |.....................|     9.106 |     2.352 | 5.960e-07 |    0.8216 |
+#> |.....................|   0.06933 |    0.8048 |    0.7021 |     1.700 |
+#> |.....................|     1.282 |     1.225 |...........|...........|
+#> |    F| Forward Diff. |    -128.1 |    0.1096 |    -3.510 |   -0.1773 |
+#> |.....................|   -0.1823 |    -1.358 | -0.002263 |     1.313 |
+#> |.....................|    -1.294 |     5.530 |     5.100 |     4.831 |
+#> |.....................|    -1.292 |    -3.851 |...........|...........|
+#> |   41|     472.13387 |     1.020 |    -1.985 |   -0.7592 |   -0.7822 |
+#> |.....................|   -0.2976 |     1.062 |    -2.892 |    -1.866 |
+#> |.....................|     3.141 |   -0.7519 |    -1.136 |   -0.6405 |
+#> |.....................|   -0.7706 |   -0.2153 |...........|...........|
+#> |    U|     472.13387 |     94.83 |    -6.285 |   -0.7970 |  0.002176 |
+#> |.....................|     2.848 |     2.358 | 5.960e-07 |    0.6009 |
+#> |.....................|   0.09049 |    0.8547 |    0.6467 |     1.490 |
+#> |.....................|     1.174 |     1.773 |...........|...........|
+#> |    X|     472.13387 |     94.83 |  0.001864 |    0.3107 |     1.002 |
+#> |.....................|     17.25 |     2.358 | 5.960e-07 |    0.6009 |
+#> |.....................|   0.09049 |    0.8547 |    0.6467 |     1.490 |
+#> |.....................|     1.174 |     1.773 |...........|...........|
+#> |   42|     454.13083 |     1.030 |    -1.841 |   -0.9756 |   -0.9280 |
+#> |.....................|   -0.8501 |     1.054 |    -2.892 |    -1.548 |
+#> |.....................|     1.921 |   -0.8098 |    -1.082 |   -0.4916 |
+#> |.....................|   -0.6825 |   -0.6571 |...........|...........|
+#> |    U|     454.13083 |     95.82 |    -6.141 |    -1.000 |   -0.1436 |
+#> |.....................|     2.295 |     2.353 | 5.960e-07 |    0.7917 |
+#> |.....................|   0.07219 |    0.8106 |    0.6936 |     1.671 |
+#> |.....................|     1.268 |     1.299 |...........|...........|
+#> |    X|     454.13083 |     95.82 |  0.002153 |    0.2688 |    0.8663 |
+#> |.....................|     9.927 |     2.353 | 5.960e-07 |    0.7917 |
+#> |.....................|   0.07219 |    0.8106 |    0.6936 |     1.671 |
+#> |.....................|     1.268 |     1.299 |...........|...........|
+#> |   43|     454.81886 |     1.032 |    -1.823 |    -1.002 |   -0.9459 |
+#> |.....................|   -0.9179 |     1.053 |    -2.892 |    -1.509 |
+#> |.....................|     1.771 |   -0.8169 |    -1.076 |   -0.4733 |
+#> |.....................|   -0.6717 |   -0.7113 |...........|...........|
+#> |    U|     454.81886 |     95.94 |    -6.123 |    -1.025 |   -0.1614 |
+#> |.....................|     2.227 |     2.352 | 5.960e-07 |    0.8150 |
+#> |.....................|   0.06994 |    0.8052 |    0.6994 |     1.693 |
+#> |.....................|     1.280 |     1.241 |...........|...........|
+#> |    X|     454.81886 |     95.94 |  0.002192 |    0.2640 |    0.8509 |
+#> |.....................|     9.277 |     2.352 | 5.960e-07 |    0.8150 |
+#> |.....................|   0.06994 |    0.8052 |    0.6994 |     1.693 |
+#> |.....................|     1.280 |     1.241 |...........|...........|
+#> |   44|     449.57011 |     1.014 |    -1.818 |    -1.010 |   -0.9508 |
+#> |.....................|   -0.9364 |     1.053 |    -2.892 |    -1.499 |
+#> |.....................|     1.730 |   -0.8181 |    -1.073 |   -0.4676 |
+#> |.....................|   -0.6690 |   -0.7267 |...........|...........|
+#> |    U|     449.57011 |     94.27 |    -6.118 |    -1.033 |   -0.1664 |
+#> |.....................|     2.209 |     2.352 | 5.995e-07 |    0.8215 |
+#> |.....................|   0.06933 |    0.8044 |    0.7016 |     1.700 |
+#> |.....................|     1.283 |     1.225 |...........|...........|
+#> |    X|     449.57011 |     94.27 |  0.002202 |    0.2626 |    0.8467 |
+#> |.....................|     9.106 |     2.352 | 5.995e-07 |    0.8215 |
+#> |.....................|   0.06933 |    0.8044 |    0.7016 |     1.700 |
+#> |.....................|     1.283 |     1.225 |...........|...........|
+#> |    F| Forward Diff. |     126.9 |    0.1582 |    -2.201 |   0.05331 |
+#> |.....................|    0.4695 |   -0.6265 |   0.01503 |    0.4241 |
+#> |.....................|    -1.337 |     5.854 |     6.688 |     4.536 |
+#> |.....................|    -1.410 |    -4.016 |...........|...........|
+#> |   45|     449.14922 |     1.007 |    -1.818 |    -1.010 |   -0.9508 |
+#> |.....................|   -0.9364 |     1.053 |    -2.892 |    -1.499 |
+#> |.....................|     1.730 |   -0.8183 |    -1.074 |   -0.4678 |
+#> |.....................|   -0.6689 |   -0.7265 |...........|...........|
+#> |    U|     449.14922 |     93.66 |    -6.118 |    -1.033 |   -0.1664 |
+#> |.....................|     2.209 |     2.352 | 5.960e-07 |    0.8215 |
+#> |.....................|   0.06933 |    0.8042 |    0.7014 |     1.699 |
+#> |.....................|     1.283 |     1.225 |...........|...........|
+#> |    X|     449.14922 |     93.66 |  0.002202 |    0.2626 |    0.8467 |
+#> |.....................|     9.106 |     2.352 | 5.960e-07 |    0.8215 |
+#> |.....................|   0.06933 |    0.8042 |    0.7014 |     1.699 |
+#> |.....................|     1.283 |     1.225 |...........|...........|
+#> |    F| Forward Diff. |   -0.4066 |    0.1367 |    -2.828 |  -0.06013 |
+#> |.....................|    0.1445 |   -0.8286 |   0.01677 |    0.9213 |
+#> |.....................|    -1.224 |     4.943 |     4.017 |     5.223 |
+#> |.....................|    -1.311 |    -3.922 |...........|...........|
+#> |   46|     449.08136 |     1.007 |    -1.818 |    -1.008 |   -0.9507 |
+#> |.....................|   -0.9365 |     1.053 |    -2.892 |    -1.499 |
+#> |.....................|     1.731 |   -0.8217 |    -1.076 |   -0.4714 |
+#> |.....................|   -0.6680 |   -0.7238 |...........|...........|
+#> |    U|     449.08136 |     93.68 |    -6.118 |    -1.031 |   -0.1663 |
+#> |.....................|     2.209 |     2.353 | 5.960e-07 |    0.8212 |
+#> |.....................|   0.06934 |    0.8016 |    0.6990 |     1.695 |
+#> |.....................|     1.284 |     1.228 |...........|...........|
+#> |    X|     449.08136 |     93.68 |  0.002202 |    0.2629 |    0.8468 |
+#> |.....................|     9.105 |     2.353 | 5.960e-07 |    0.8212 |
+#> |.....................|   0.06934 |    0.8016 |    0.6990 |     1.695 |
+#> |.....................|     1.284 |     1.228 |...........|...........|
+#> |   47|     448.89872 |     1.008 |    -1.819 |    -1.002 |   -0.9506 |
+#> |.....................|   -0.9368 |     1.055 |    -2.892 |    -1.501 |
+#> |.....................|     1.734 |   -0.8317 |    -1.084 |   -0.4820 |
+#> |.....................|   -0.6654 |   -0.7159 |...........|...........|
+#> |    U|     448.89872 |     93.76 |    -6.119 |    -1.025 |   -0.1662 |
+#> |.....................|     2.209 |     2.354 | 5.960e-07 |    0.8200 |
+#> |.....................|   0.06938 |    0.7940 |    0.6918 |     1.682 |
+#> |.....................|     1.286 |     1.237 |...........|...........|
+#> |    X|     448.89872 |     93.76 |  0.002202 |    0.2640 |    0.8469 |
+#> |.....................|     9.102 |     2.354 | 5.960e-07 |    0.8200 |
+#> |.....................|   0.06938 |    0.7940 |    0.6918 |     1.682 |
+#> |.....................|     1.286 |     1.237 |...........|...........|
+#> |   48|     448.46351 |     1.011 |    -1.820 |   -0.9792 |   -0.9501 |
+#> |.....................|   -0.9380 |     1.062 |    -2.892 |    -1.509 |
+#> |.....................|     1.744 |   -0.8718 |    -1.117 |   -0.5244 |
+#> |.....................|   -0.6547 |   -0.6840 |...........|...........|
+#> |    U|     448.46351 |     94.07 |    -6.120 |    -1.004 |   -0.1657 |
+#> |.....................|     2.207 |     2.358 | 5.960e-07 |    0.8155 |
+#> |.....................|   0.06953 |    0.7635 |    0.6633 |     1.631 |
+#> |.....................|     1.298 |     1.271 |...........|...........|
+#> |    X|     448.46351 |     94.07 |  0.002199 |    0.2682 |    0.8473 |
+#> |.....................|     9.092 |     2.358 | 5.960e-07 |    0.8155 |
+#> |.....................|   0.06953 |    0.7635 |    0.6633 |     1.631 |
+#> |.....................|     1.298 |     1.271 |...........|...........|
+#> |    F| Forward Diff. |     75.37 |    0.2597 |   -0.1569 |   0.03608 |
+#> |.....................|    0.3501 |   -0.3601 |  -0.01324 |    0.5025 |
+#> |.....................|    -1.327 |     4.308 |    0.9122 |     2.456 |
+#> |.....................|   -0.5631 |    -1.887 |...........|...........|
+#> |   49|     448.12149 |     1.008 |    -1.833 |   -0.9950 |   -0.9378 |
+#> |.....................|   -0.8937 |     1.062 |    -2.892 |    -1.543 |
+#> |.....................|     1.827 |   -0.8899 |    -1.115 |   -0.5324 |
+#> |.....................|   -0.6574 |   -0.6703 |...........|...........|
+#> |    U|     448.12149 |     93.73 |    -6.133 |    -1.019 |   -0.1534 |
+#> |.....................|     2.252 |     2.358 | 5.960e-07 |    0.7948 |
+#> |.....................|   0.07077 |    0.7498 |    0.6653 |     1.621 |
+#> |.....................|     1.295 |     1.285 |...........|...........|
+#> |    X|     448.12149 |     93.73 |  0.002169 |    0.2653 |    0.8578 |
+#> |.....................|     9.504 |     2.358 | 5.960e-07 |    0.7948 |
+#> |.....................|   0.07077 |    0.7498 |    0.6653 |     1.621 |
+#> |.....................|     1.295 |     1.285 |...........|...........|
+#> |    F| Forward Diff. |     13.78 |    0.2222 |    -1.381 |    0.2569 |
+#> |.....................|     1.259 |   -0.5740 |  -0.02850 |    0.1620 |
+#> |.....................|    -1.241 |     3.503 |    0.9893 |     2.205 |
+#> |.....................|   -0.7124 |    -1.054 |...........|...........|
+#> |   50|     447.94443 |     1.007 |    -1.844 |   -0.9902 |   -0.9390 |
+#> |.....................|   -0.9059 |     1.062 |    -2.881 |    -1.561 |
+#> |.....................|     1.911 |   -0.9357 |    -1.119 |   -0.5167 |
+#> |.....................|   -0.6474 |   -0.7008 |...........|...........|
+#> |    U|     447.94443 |     93.62 |    -6.144 |    -1.014 |   -0.1546 |
+#> |.....................|     2.239 |     2.358 | 0.0001615 |    0.7838 |
+#> |.....................|   0.07204 |    0.7150 |    0.6617 |     1.640 |
+#> |.....................|     1.306 |     1.253 |...........|...........|
+#> |    X|     447.94443 |     93.62 |  0.002146 |    0.2662 |    0.8567 |
+#> |.....................|     9.388 |     2.358 | 0.0001615 |    0.7838 |
+#> |.....................|   0.07204 |    0.7150 |    0.6617 |     1.640 |
+#> |.....................|     1.306 |     1.253 |...........|...........|
+#> |    F| Forward Diff. |    -5.879 |    0.2071 |    -1.215 |    0.2527 |
+#> |.....................|    0.8228 |   -0.5096 |  -0.06036 |    0.4983 |
+#> |.....................|    -1.183 |     1.766 |     2.266 |     2.617 |
+#> |.....................|   -0.3179 |    -2.389 |...........|...........|
+#> |   51|     447.77390 |     1.007 |    -1.858 |    -1.003 |   -0.9470 |
+#> |.....................|   -0.9285 |     1.056 |    -2.855 |    -1.583 |
+#> |.....................|     2.006 |   -0.9406 |    -1.128 |   -0.5198 |
+#> |.....................|   -0.6539 |   -0.6964 |...........|...........|
+#> |    U|      447.7739 |     93.69 |    -6.158 |    -1.026 |   -0.1626 |
+#> |.....................|     2.217 |     2.354 | 0.0005494 |    0.7710 |
+#> |.....................|   0.07347 |    0.7113 |    0.6533 |     1.636 |
+#> |.....................|     1.299 |     1.257 |...........|...........|
+#> |    X|      447.7739 |     93.69 |  0.002117 |    0.2639 |    0.8500 |
+#> |.....................|     9.179 |     2.354 | 0.0005494 |    0.7710 |
+#> |.....................|   0.07347 |    0.7113 |    0.6533 |     1.636 |
+#> |.....................|     1.299 |     1.257 |...........|...........|
+#> |   52|     447.56301 |     1.006 |    -1.897 |    -1.041 |   -0.9708 |
+#> |.....................|   -0.9958 |     1.039 |    -2.777 |    -1.647 |
+#> |.....................|     2.291 |   -0.9540 |    -1.156 |   -0.5273 |
+#> |.....................|   -0.6737 |   -0.6848 |...........|...........|
+#> |    U|     447.56301 |     93.51 |    -6.197 |    -1.061 |   -0.1864 |
+#> |.....................|     2.150 |     2.344 |  0.001717 |    0.7326 |
+#> |.....................|   0.07774 |    0.7011 |    0.6293 |     1.627 |
+#> |.....................|     1.278 |     1.270 |...........|...........|
+#> |    X|     447.56301 |     93.51 |  0.002035 |    0.2570 |    0.8300 |
+#> |.....................|     8.581 |     2.344 |  0.001717 |    0.7326 |
+#> |.....................|   0.07774 |    0.7011 |    0.6293 |     1.627 |
+#> |.....................|     1.278 |     1.270 |...........|...........|
+#> |    F| Forward Diff. |    -30.60 |    0.2182 |    -4.075 |   -0.4855 |
+#> |.....................|    -1.237 |   -0.6626 |   -0.1062 |    0.6612 |
+#> |.....................|   -0.6049 |     1.074 |     1.318 |     2.279 |
+#> |.....................|    -1.614 |    -1.745 |...........|...........|
+#> |   53|     447.16930 |     1.007 |    -1.971 |   -0.9627 |   -0.9652 |
+#> |.....................|   -0.9709 |     1.044 |    -2.781 |    -1.732 |
+#> |.....................|     2.691 |   -0.9472 |    -1.156 |   -0.5162 |
+#> |.....................|   -0.6828 |   -0.6632 |...........|...........|
+#> |    U|      447.1693 |     93.67 |    -6.271 |   -0.9883 |   -0.1807 |
+#> |.....................|     2.174 |     2.347 |  0.001652 |    0.6812 |
+#> |.....................|   0.08374 |    0.7063 |    0.6288 |     1.641 |
+#> |.....................|     1.268 |     1.293 |...........|...........|
+#> |    X|      447.1693 |     93.67 |  0.001890 |    0.2713 |    0.8346 |
+#> |.....................|     8.798 |     2.347 |  0.001652 |    0.6812 |
+#> |.....................|   0.08374 |    0.7063 |    0.6288 |     1.641 |
+#> |.....................|     1.268 |     1.293 |...........|...........|
+#> |    F| Forward Diff. |    -3.693 |    0.1048 |    0.8560 |   -0.3278 |
+#> |.....................|   -0.6115 |   -0.5188 |  -0.09596 |    0.9789 |
+#> |.....................|   0.02585 |     1.094 |     1.548 |     2.318 |
+#> |.....................|    -2.079 |   -0.9259 |...........|...........|
+#> |   54|     447.68852 |     1.013 |    -2.042 |    -1.008 |   -0.9421 |
+#> |.....................|   -0.9288 |     1.034 |    -2.709 |    -1.852 |
+#> |.....................|     3.037 |   -0.9368 |    -1.153 |   -0.6162 |
+#> |.....................|   -0.5399 |   -0.6984 |...........|...........|
+#> |    U|     447.68852 |     94.21 |    -6.342 |    -1.031 |   -0.1577 |
+#> |.....................|     2.217 |     2.341 |  0.002735 |    0.6094 |
+#> |.....................|   0.08893 |    0.7142 |    0.6313 |     1.519 |
+#> |.....................|     1.420 |     1.255 |...........|...........|
+#> |    X|     447.68852 |     94.21 |  0.001761 |    0.2629 |    0.8541 |
+#> |.....................|     9.176 |     2.341 |  0.002735 |    0.6094 |
+#> |.....................|   0.08893 |    0.7142 |    0.6313 |     1.519 |
+#> |.....................|     1.420 |     1.255 |...........|...........|
+#> |   55|     447.15405 |     1.011 |    -1.991 |   -0.9760 |   -0.9584 |
+#> |.....................|   -0.9586 |     1.042 |    -2.761 |    -1.767 |
+#> |.....................|     2.789 |   -0.9450 |    -1.157 |   -0.5460 |
+#> |.....................|   -0.6410 |   -0.6726 |...........|...........|
+#> |    U|     447.15405 |     94.04 |    -6.291 |    -1.001 |   -0.1740 |
+#> |.....................|     2.187 |     2.346 |  0.001959 |    0.6605 |
+#> |.....................|   0.08521 |    0.7080 |    0.6287 |     1.605 |
+#> |.....................|     1.312 |     1.283 |...........|...........|
+#> |    X|     447.15405 |     94.04 |  0.001852 |    0.2688 |    0.8403 |
+#> |.....................|     8.906 |     2.346 |  0.001959 |    0.6605 |
+#> |.....................|   0.08521 |    0.7080 |    0.6287 |     1.605 |
+#> |.....................|     1.312 |     1.283 |...........|...........|
+#> |    F| Forward Diff. |     53.59 |   0.07914 |    0.2662 |   -0.1234 |
+#> |.....................|   -0.1097 |   -0.6518 |  -0.06086 |    0.6193 |
+#> |.....................|  -0.05679 |     1.445 |    0.6511 |     1.197 |
+#> |.....................|   -0.1794 |    -1.326 |...........|...........|
+#> |   56|     447.09915 |     1.005 |    -2.002 |   -0.9768 |   -0.9545 |
+#> |.....................|   -0.9567 |     1.042 |    -2.752 |    -1.789 |
+#> |.....................|     2.838 |   -0.9392 |    -1.155 |   -0.5617 |
+#> |.....................|   -0.6261 |   -0.6787 |...........|...........|
+#> |    U|     447.09915 |     93.47 |    -6.302 |    -1.002 |   -0.1701 |
+#> |.....................|     2.189 |     2.346 |  0.002096 |    0.6471 |
+#> |.....................|   0.08594 |    0.7123 |    0.6298 |     1.586 |
+#> |.....................|     1.328 |     1.276 |...........|...........|
+#> |    X|     447.09915 |     93.47 |  0.001833 |    0.2686 |    0.8436 |
+#> |.....................|     8.923 |     2.346 |  0.002096 |    0.6471 |
+#> |.....................|   0.08594 |    0.7123 |    0.6298 |     1.586 |
+#> |.....................|     1.328 |     1.276 |...........|...........|
+#> |    F| Forward Diff. |    -33.97 |   0.05091 |   -0.1219 |  -0.09607 |
+#> |.....................|   -0.3249 |   -0.8735 |   -0.1278 |    0.5888 |
+#> |.....................|   0.06635 |     1.636 |    -1.923 |    0.5172 |
+#> |.....................|    0.5270 |    -1.419 |...........|...........|
+#> |   57|     447.01951 |     1.007 |    -2.009 |   -0.9874 |   -0.9450 |
+#> |.....................|   -0.9329 |     1.053 |    -2.780 |    -1.808 |
+#> |.....................|     2.841 |   -0.9693 |    -1.155 |   -0.5556 |
+#> |.....................|   -0.6514 |   -0.6721 |...........|...........|
+#> |    U|     447.01951 |     93.64 |    -6.309 |    -1.012 |   -0.1606 |
+#> |.....................|     2.212 |     2.352 |  0.001680 |    0.6361 |
+#> |.....................|   0.08598 |    0.6895 |    0.6300 |     1.593 |
+#> |.....................|     1.301 |     1.283 |...........|...........|
+#> |    X|     447.01951 |     93.64 |  0.001820 |    0.2667 |    0.8517 |
+#> |.....................|     9.138 |     2.352 |  0.001680 |    0.6361 |
+#> |.....................|   0.08598 |    0.6895 |    0.6300 |     1.593 |
+#> |.....................|     1.301 |     1.283 |...........|...........|
+#> |    F| Forward Diff. |    -6.500 |   0.04518 |   -0.6412 |    0.1616 |
+#> |.....................|    0.3106 |   -0.6054 |  -0.07873 |   -0.1077 |
+#> |.....................|   -0.1002 |    0.2460 |     1.553 |    0.4490 |
+#> |.....................|   -0.8245 |    -1.132 |...........|...........|
+#> |   58|     447.04861 |     1.009 |    -2.019 |   -0.9927 |   -0.9476 |
+#> |.....................|   -0.9252 |     1.054 |    -2.796 |    -1.779 |
+#> |.....................|     2.878 |   -0.9737 |    -1.157 |   -0.5487 |
+#> |.....................|   -0.6291 |   -0.6521 |...........|...........|
+#> |    U|     447.04861 |     93.85 |    -6.319 |    -1.017 |   -0.1632 |
+#> |.....................|     2.220 |     2.353 |  0.001429 |    0.6532 |
+#> |.....................|   0.08654 |    0.6862 |    0.6280 |     1.601 |
+#> |.....................|     1.325 |     1.305 |...........|...........|
+#> |    X|     447.04861 |     93.85 |  0.001802 |    0.2657 |    0.8494 |
+#> |.....................|     9.209 |     2.353 |  0.001429 |    0.6532 |
+#> |.....................|   0.08654 |    0.6862 |    0.6280 |     1.601 |
+#> |.....................|     1.325 |     1.305 |...........|...........|
+#> |   59|     447.01937 |     1.009 |    -2.012 |   -0.9891 |   -0.9459 |
+#> |.....................|   -0.9304 |     1.053 |    -2.785 |    -1.798 |
+#> |.....................|     2.853 |   -0.9708 |    -1.156 |   -0.5534 |
+#> |.....................|   -0.6439 |   -0.6653 |...........|...........|
+#> |    U|     447.01937 |     93.80 |    -6.312 |    -1.013 |   -0.1615 |
+#> |.....................|     2.215 |     2.353 |  0.001597 |    0.6418 |
+#> |.....................|   0.08617 |    0.6884 |    0.6292 |     1.596 |
+#> |.....................|     1.309 |     1.291 |...........|...........|
+#> |    X|     447.01937 |     93.80 |  0.001814 |    0.2664 |    0.8509 |
+#> |.....................|     9.161 |     2.353 |  0.001597 |    0.6418 |
+#> |.....................|   0.08617 |    0.6884 |    0.6292 |     1.596 |
+#> |.....................|     1.309 |     1.291 |...........|...........|
+#> |    F| Forward Diff. |     15.62 |   0.04451 |   -0.6370 |    0.1658 |
+#> |.....................|    0.4720 |   -0.4967 |  -0.06076 |    0.2478 |
+#> |.....................|   0.07878 |    0.2929 |    0.7908 |    0.7364 |
+#> |.....................|   -0.2169 |   -0.8458 |...........|...........|
+#> |   60|     447.00331 |     1.007 |    -2.016 |   -0.9874 |   -0.9487 |
+#> |.....................|   -0.9321 |     1.057 |    -2.790 |    -1.800 |
+#> |.....................|     2.856 |   -0.9696 |    -1.156 |   -0.5575 |
+#> |.....................|   -0.6423 |   -0.6633 |...........|...........|
+#> |    U|     447.00331 |     93.68 |    -6.316 |    -1.012 |   -0.1643 |
+#> |.....................|     2.213 |     2.355 |  0.001526 |    0.6406 |
+#> |.....................|   0.08622 |    0.6893 |    0.6295 |     1.591 |
+#> |.....................|     1.311 |     1.293 |...........|...........|
+#> |    X|     447.00331 |     93.68 |  0.001807 |    0.2667 |    0.8485 |
+#> |.....................|     9.146 |     2.355 |  0.001526 |    0.6406 |
+#> |.....................|   0.08622 |    0.6893 |    0.6295 |     1.591 |
+#> |.....................|     1.311 |     1.293 |...........|...........|
+#> |    F| Forward Diff. |    -1.749 |   0.03581 |   -0.6032 |   0.06997 |
+#> |.....................|    0.3775 |   -0.4012 |  -0.08782 |    0.2553 |
+#> |.....................|  0.001918 |    0.1783 |     1.513 |    0.3567 |
+#> |.....................|   -0.3333 |   -0.7379 |...........|...........|
+#> |   61|     446.99944 |     1.008 |    -2.018 |   -0.9851 |   -0.9476 |
+#> |.....................|   -0.9359 |     1.058 |    -2.787 |    -1.806 |
+#> |.....................|     2.859 |   -0.9671 |    -1.156 |   -0.5614 |
+#> |.....................|   -0.6427 |   -0.6650 |...........|...........|
+#> |    U|     446.99944 |     93.70 |    -6.318 |    -1.009 |   -0.1632 |
+#> |.....................|     2.209 |     2.355 |  0.001564 |    0.6369 |
+#> |.....................|   0.08626 |    0.6911 |    0.6291 |     1.586 |
+#> |.....................|     1.311 |     1.291 |...........|...........|
+#> |    X|     446.99944 |     93.70 |  0.001804 |    0.2671 |    0.8494 |
+#> |.....................|     9.111 |     2.355 |  0.001564 |    0.6369 |
+#> |.....................|   0.08626 |    0.6911 |    0.6291 |     1.586 |
+#> |.....................|     1.311 |     1.291 |...........|...........|
+#> |    F| Forward Diff. |     2.474 |   0.03546 |   -0.4554 |    0.1057 |
+#> |.....................|    0.2777 |   -0.4692 |  -0.06549 |   0.06429 |
+#> |.....................|  -0.09650 |    0.2331 |    0.6150 |    0.1626 |
+#> |.....................|   -0.3753 |   -0.8072 |...........|...........|
+#> |   62|     446.99641 |     1.007 |    -2.020 |   -0.9846 |   -0.9460 |
+#> |.....................|   -0.9366 |     1.059 |    -2.790 |    -1.808 |
+#> |.....................|     2.868 |   -0.9676 |    -1.156 |   -0.5621 |
+#> |.....................|   -0.6420 |   -0.6633 |...........|...........|
+#> |    U|     446.99641 |     93.67 |    -6.320 |    -1.009 |   -0.1616 |
+#> |.....................|     2.209 |     2.356 |  0.001530 |    0.6356 |
+#> |.....................|   0.08639 |    0.6908 |    0.6287 |     1.585 |
+#> |.....................|     1.311 |     1.293 |...........|...........|
+#> |    X|     446.99641 |     93.67 |  0.001800 |    0.2672 |    0.8508 |
+#> |.....................|     9.105 |     2.356 |  0.001530 |    0.6356 |
+#> |.....................|   0.08639 |    0.6908 |    0.6287 |     1.585 |
+#> |.....................|     1.311 |     1.293 |...........|...........|
+#> |    F| Forward Diff. |    -2.070 |   0.03317 |   -0.4443 |    0.1488 |
+#> |.....................|    0.2478 |   -0.4968 |  -0.07674 |   0.09423 |
+#> |.....................|  -0.05318 |    0.2365 |    0.6058 |    0.5619 |
+#> |.....................|   -0.3013 |   -0.7224 |...........|...........|
+#> |   63|     446.99641 |     1.007 |    -2.020 |   -0.9846 |   -0.9460 |
+#> |.....................|   -0.9366 |     1.059 |    -2.790 |    -1.808 |
+#> |.....................|     2.868 |   -0.9676 |    -1.156 |   -0.5621 |
+#> |.....................|   -0.6420 |   -0.6633 |...........|...........|
+#> |    U|     446.99641 |     93.67 |    -6.320 |    -1.009 |   -0.1616 |
+#> |.....................|     2.209 |     2.356 |  0.001530 |    0.6356 |
+#> |.....................|   0.08639 |    0.6908 |    0.6287 |     1.585 |
+#> |.....................|     1.311 |     1.293 |...........|...........|
+#> |    X|     446.99641 |     93.67 |  0.001800 |    0.2672 |    0.8508 |
+#> |.....................|     9.105 |     2.356 |  0.001530 |    0.6356 |
+#> |.....................|   0.08639 |    0.6908 |    0.6287 |     1.585 |
+#> |.....................|     1.311 |     1.293 |...........|...........|
+#> calculating covariance matrix
+#> done
+#> Calculating residuals/tables
+#> done
+#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))
+#> Warning: ETAs were reset to zero during optimization; (Can control by foceiControl(resetEtaP=.))
+#> Warning: gradient problems with initial estimate and covariance; see $scaleInfo
+f_nlmixr_dfop_sfo_saem_obs_tc <- nlmixr(f_mmkin_tc["DFOP-SFO", ], est = "saem",
+  error_model = "obs_tc")
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#>  
+#> 1:    90.7519   -4.8586   -1.7674   -3.5599   -2.0059    0.5800    4.8899    1.4250    1.1400    2.6923    0.4845    0.4370   10.2815    0.0004    9.0437    0.4047
+#> 2:    9.0763e+01  -5.2004e+00  -1.9605e+00  -4.2009e+00  -1.8767e+00   2.0341e-01   4.6454e+00   1.3537e+00   1.0830e+00   2.7771e+00   4.6027e-01   5.1181e-01   6.3469e+00   4.0033e-04   6.8216e+00   9.0448e-05
+#> 3:    9.0656e+01  -5.4820e+00  -2.0937e+00  -4.0962e+00  -1.5381e+00  -1.7136e-02   4.4131e+00   1.2861e+00   1.0288e+00   3.5620e+00   4.3726e-01   6.1217e-01   4.8763e+00   4.1436e-05   5.4967e+00   1.0148e-05
+#> 4:    9.0543e+01  -5.7744e+00  -2.1074e+00  -4.0393e+00  -1.3603e+00  -2.3531e-01   5.0162e+00   1.2218e+00   1.0041e+00   3.3839e+00   4.1540e-01   5.8157e-01   4.1029e+00   2.1466e-04   4.2869e+00   1.9419e-06
+#> 5:    91.1621   -6.0534   -2.0430   -4.0508   -1.2523   -0.2043    6.1015    1.1715    1.1998    3.2147    0.3946    0.5525    3.5979    0.0187    3.8221    0.0271
+#> 6:    91.1179   -5.9892   -2.0082   -4.1363   -1.1428   -0.1930    5.7964    1.1960    1.2360    3.4525    0.3749    0.5293    3.3091    0.0209    3.6230    0.0284
+#> 7:    91.6680   -5.9609   -2.0492   -4.1163   -1.0919   -0.1505    5.6134    1.6750    1.3055    3.2799    0.3631    0.5028    3.2412    0.0254    3.5108    0.0371
+#> 8:    91.6903   -5.9346   -2.0630   -4.0790   -1.1130   -0.0963    5.3327    2.2525    1.3524    3.1159    0.3449    0.4777    2.6165    0.0445    2.8556    0.0576
+#> 9:    92.2564   -5.7600   -2.0460   -4.1144   -1.0635   -0.0594    5.9616    2.1399    1.2848    2.9601    0.3277    0.4538    2.3593    0.0295    2.5704    0.0491
+#> 10:    92.2425   -5.7990   -2.0052   -4.0409   -1.0387   -0.1141    6.9547    2.1239    1.2205    2.8121    0.3113    0.4311    2.3237    0.0323    2.4227    0.0421
+#> 11:    92.4404   -5.6829   -2.0866   -4.0010   -1.0214   -0.0587    6.6790    2.0177    1.1595    2.6715    0.2957    0.4096    1.9963    0.0407    2.2478    0.0501
+#> 12:    92.0713   -5.8051   -2.1699   -4.0539   -0.9807    0.0174    6.7885    2.1380    1.1811    2.6017    0.2810    0.3891    1.8480    0.0502    2.0516    0.0522
+#> 13:    91.7214   -5.6954   -2.1579   -4.0944   -0.9935   -0.0195    6.4491    2.0311    1.1221    2.4716    0.2669    0.3696    1.8299    0.0531    1.9271    0.0520
+#> 14:    91.1978   -5.6733   -2.1988   -4.0794   -0.9387    0.0091    6.1267    1.9295    1.1589    2.3480    0.2536    0.3511    1.6357    0.0470    1.8899    0.0639
+#> 15:    91.3746   -5.5864   -2.1484   -4.1356   -0.9126    0.0045    5.8203    1.8330    1.2078    2.3265    0.2409    0.3336    1.6218    0.0428    1.6558    0.0725
+#> 16:    91.5646   -5.4931   -2.1474   -4.1242   -0.9148    0.0179    5.5293    1.7414    1.1474    2.2733    0.2288    0.3169    1.6467    0.0377    1.6977    0.0600
+#> 17:    91.4767   -5.5885   -2.1424   -4.1386   -0.9308    0.0602    5.2528    1.9428    1.2141    2.1762    0.2174    0.3343    1.4916    0.0424    1.4326    0.0717
+#> 18:    90.9989   -5.6364   -2.1601   -4.1606   -0.9676    0.0694    4.9902    1.8457    1.2521    2.2899    0.2065    0.3279    1.4504    0.0471    1.4267    0.0700
+#> 19:    91.4050   -5.7347   -2.0985   -4.1476   -0.9656    0.0668    4.7407    2.3263    1.4064    2.2061    0.1962    0.3296    1.3679    0.0485    1.2735    0.0844
+#> 20:    91.2707   -5.7623   -2.1155   -4.1538   -0.9601    0.0425    4.5037    2.6509    1.3408    2.1958    0.1864    0.3576    1.3736    0.0452    1.3454    0.0743
+#> 21:    91.6878   -5.8143   -2.1261   -4.1649   -0.9325    0.0333    4.7695    2.8996    1.3244    2.1300    0.1771    0.3509    1.4793    0.0508    1.0333    0.0839
+#> 22:    91.5363   -5.9047   -2.1358   -4.1655   -0.9207    0.0339    4.5310    3.4408    1.3022    2.1829    0.1682    0.3378    1.4260    0.0488    0.9436    0.0877
+#> 23:    91.9969   -5.9565   -2.1378   -4.1609   -0.9243    0.0701    4.3045    3.7239    1.3446    2.2424    0.1598    0.3209    1.4182    0.0412    0.9205    0.0873
+#> 24:    92.2835   -5.9272   -2.0883   -4.1651   -0.9248    0.0834    4.0892    3.7780    1.2773    2.2187    0.1518    0.3049    1.4749    0.0427    0.9837    0.0802
+#> 25:    92.3389   -6.1292   -2.1033   -4.2473   -0.9069    0.0593    3.8848    4.7059    1.2740    2.4323    0.1442    0.2896    1.3656    0.0493    0.9299    0.0798
+#> 26:    91.9840   -5.9821   -2.1124   -4.2150   -0.9100    0.1076    3.6905    4.4706    1.2103    2.4699    0.1458    0.2751    1.3200    0.0504    0.8256    0.0912
+#> 27:    92.4671   -5.8765   -2.0910   -4.2169   -0.9356    0.0483    3.5060    4.2471    1.2302    2.4791    0.1385    0.2614    1.4252    0.0520    0.8191    0.0836
+#> 28:    92.4130   -5.9480   -2.0870   -4.2191   -0.9338    0.0866    3.3859    4.1337    1.2210    2.4685    0.1412    0.2557    1.3860    0.0484    0.9189    0.0770
+#> 29:    92.3064   -5.7845   -2.0759   -4.2321   -0.9270    0.0855    4.2691    3.9271    1.3369    2.5457    0.1341    0.2922    1.3848    0.0513    0.9658    0.0785
+#> 30:    92.2109   -5.9347   -2.0725   -4.2042   -0.9074    0.0481    5.5659    3.9234    1.2701    2.4184    0.1370    0.2776    1.2925    0.0560    0.9058    0.0806
+#> 31:    91.8912   -5.7466   -2.0912   -4.1504   -0.9087    0.0443    5.2876    3.7272    1.2690    2.2975    0.1301    0.2637    1.3348    0.0517    0.8672    0.0840
+#> 32:    92.3866   -5.8560   -2.0979   -4.1547   -0.9044    0.0335    5.0232    3.5408    1.2761    2.3185    0.1307    0.2505    1.3558    0.0487    0.9422    0.0791
+#> 33:    92.4555   -5.6989   -2.0956   -4.1479   -0.9038    0.0447    4.7720    3.3638    1.3253    2.2962    0.1242    0.2380    1.4321    0.0432    0.8961    0.0799
+#> 34:    92.6307   -5.8831   -2.0769   -4.1319   -0.8946    0.0430    4.5334    3.7151    1.2785    2.2638    0.1201    0.2261    1.4076    0.0457    0.8269    0.0813
+#> 35:    92.5659   -5.9100   -2.0748   -4.1482   -0.9079    0.0563    4.6634    3.7452    1.3141    2.3378    0.1168    0.2148    1.3571    0.0451    0.8317    0.0831
+#> 36:    92.5738   -5.8574   -2.0981   -4.1214   -0.8963    0.0302    5.3272    3.7371    1.3359    2.2776    0.1331    0.2041    1.3308    0.0480    0.8953    0.0791
+#> 37:    92.1615   -5.7137   -2.0922   -4.1178   -0.9035    0.0455    5.4894    3.5503    1.2691    2.2508    0.1473    0.1939    1.3692    0.0495    0.9358    0.0800
+#> 38:    92.4421   -5.6978   -2.0905   -4.1275   -0.9052    0.0108    5.4295    3.3728    1.2057    2.2119    0.1432    0.1842    1.3421    0.0549    0.8932    0.0781
+#> 39:    92.3995   -5.6121   -2.0804   -4.1275   -0.8903    0.0270    5.1580    3.2041    1.1454    2.2119    0.1360    0.1978    1.3353    0.0524    0.9062    0.0775
+#> 40:    92.5616   -5.7907   -2.1099   -4.1127   -0.9074    0.0501    4.9001    3.0439    1.1582    2.1723    0.1387    0.1879    1.2981    0.0510    0.9517    0.0797
+#> 41:    92.2655   -5.6532   -2.0631   -4.1437   -0.9128    0.0346    4.6551    2.8917    1.1202    2.1498    0.1403    0.1785    1.4500    0.0461    0.7394    0.0903
+#> 42:    92.3218   -5.4916   -2.1072   -4.1312   -0.9310    0.0360    4.4224    2.7471    1.1648    2.1428    0.1332    0.1695    1.4034    0.0508    0.8131    0.0854
+#> 43:    92.6165   -5.5145   -2.0838   -4.1239   -0.9215    0.0347    4.2012    2.6098    1.1892    2.1202    0.1463    0.1611    1.3416    0.0507    0.8213    0.0847
+#> 44:    92.5385   -5.5590   -2.0872   -4.1376   -0.9210    0.0672    3.9912    2.4793    1.1416    2.2253    0.1450    0.1530    1.4008    0.0352    0.8639    0.0847
+#> 45:    92.2152   -5.6170   -2.1014   -4.1657   -0.9331    0.0781    3.7916    2.4382    1.1250    2.2378    0.1516    0.1556    1.4612    0.0329    1.0091    0.0820
+#> 46:    91.8943   -5.6650   -2.1329   -4.1649   -0.9241    0.1060    3.6020    2.6448    1.0705    2.3112    0.1441    0.1549    1.5047    0.0384    1.0179    0.0805
+#> 47:    91.8153   -5.5910   -2.1514   -4.1919   -0.9169    0.0885    3.4219    2.5125    1.0386    2.3140    0.1506    0.1620    1.4759    0.0375    1.1021    0.0740
+#> 48:    91.6295   -5.5438   -2.1516   -4.1570   -0.8742    0.0851    3.2508    2.3869    1.0816    2.1983    0.1630    0.1786    1.4024    0.0405    1.1135    0.0732
+#> 49:    91.4363   -5.5847   -2.1732   -4.1794   -0.8634    0.0948    3.0883    2.4829    1.0865    2.2378    0.1549    0.1697    1.4314    0.0434    1.0529    0.0742
+#> 50:    91.3634   -5.5794   -2.1613   -4.1507   -0.8849    0.0862    2.9339    2.6404    1.0829    2.2519    0.1493    0.1612    1.3704    0.0446    1.0081    0.0736
+#> 51:    91.2150   -5.5503   -2.1675   -4.1432   -0.8749    0.1178    2.7872    2.7368    1.0605    2.2261    0.1418    0.1532    1.4312    0.0418    1.0380    0.0781
+#> 52:    91.4343   -5.6336   -2.2138   -4.1552   -0.8867    0.1391    2.6677    2.7022    1.0857    2.2588    0.1493    0.1455    1.3220    0.0469    0.9272    0.0761
+#> 53:    91.3310   -5.5185   -2.2340   -4.1430   -0.8855    0.1545    2.9130    2.5670    1.0720    2.3074    0.1532    0.1385    1.3224    0.0503    0.9688    0.0723
+#> 54:    91.4342   -5.5008   -2.2086   -4.1777   -0.8720    0.1688    2.8202    2.4387    1.0624    2.4253    0.1631    0.1315    1.3186    0.0429    0.9425    0.0723
+#> 55:    91.4983   -5.5944   -2.1709   -4.1211   -0.8638    0.1168    3.4789    2.5154    1.0549    2.3041    0.1557    0.1279    1.3800    0.0423    0.9620    0.0727
+#> 56:    91.5954   -5.5317   -2.1881   -4.1263   -0.8627    0.1366    4.1396    2.3896    1.0732    2.2684    0.1562    0.1221    1.3285    0.0431    1.0156    0.0708
+#> 57:    91.6591   -5.3839   -2.2082   -4.1122   -0.8929    0.1457    4.5073    2.2701    1.0672    2.3639    0.1539    0.1160    1.4074    0.0478    0.9796    0.0722
+#> 58:    91.7434   -5.3597   -2.2068   -4.1214   -0.8912    0.1437    4.2819    2.1566    1.0605    2.4496    0.1667    0.1109    1.4274    0.0450    1.0782    0.0676
+#> 59:    91.6597   -5.4672   -2.1918   -4.1412   -0.9021    0.1657    4.0678    2.0488    1.1306    2.5245    0.1888    0.1054    1.4745    0.0391    1.1492    0.0670
+#> 60:    91.7565   -5.4513   -2.2051   -4.1618   -0.9013    0.1554    3.8644    1.9464    1.1728    2.6191    0.1793    0.1001    1.4135    0.0402    1.1572    0.0665
+#> 61:    91.9484   -5.5390   -2.1973   -4.1611   -0.9011    0.1318    3.6712    1.8963    1.1460    2.6242    0.1704    0.0951    1.3855    0.0481    1.1109    0.0634
+#> 62:    92.1661   -5.4985   -2.1729   -4.1352   -0.8887    0.1327    4.3155    1.8588    1.1087    2.5551    0.1633    0.0995    1.3847    0.0444    1.0736    0.0656
+#> 63:    92.1727   -5.4086   -2.1610   -4.1488   -0.8998    0.1451    4.6019    1.7659    1.1413    2.6020    0.1718    0.1152    1.4299    0.0404    1.2202    0.0603
+#> 64:    92.4331   -5.5220   -2.1121   -4.1300   -0.9428    0.1211    5.0354    1.8121    1.0982    2.6157    0.1775    0.1209    1.4168    0.0348    1.2148    0.0625
+#> 65:    92.1871   -5.6089   -2.1258   -4.1412   -0.9127    0.1399    4.7836    2.1060    1.1568    2.5971    0.1757    0.1148    1.4000    0.0336    1.0305    0.0707
+#> 66:    92.1419   -5.7752   -2.1344   -4.1493   -0.9237    0.1494    4.5444    2.7076    1.1563    2.6439    0.1740    0.1091    1.4238    0.0341    1.0285    0.0688
+#> 67:    92.1187   -5.5967   -2.1430   -4.1460   -0.9074    0.1245    4.3172    2.5722    1.2052    2.6139    0.1868    0.1104    1.4100    0.0381    1.0508    0.0703
+#> 68:    92.1123   -5.6882   -2.1481   -4.1269   -0.9083    0.1206    4.1014    2.5548    1.2021    2.4832    0.1781    0.1462    1.3099    0.0417    1.0099    0.0713
+#> 69:    92.2511   -5.6923   -2.1456   -4.1315   -0.9077    0.1421    4.3551    2.6261    1.1850    2.3591    0.1692    0.1389    1.3546    0.0416    0.9516    0.0762
+#> 70:    92.0291   -5.7376   -2.1689   -4.1364   -0.8908    0.1407    4.1373    3.0520    1.1595    2.2495    0.1608    0.1465    1.3226    0.0436    0.9904    0.0711
+#> 71:    91.7690   -5.7223   -2.1773   -4.1986   -0.9036    0.1831    3.9304    2.8994    1.1015    2.4335    0.1527    0.1602    1.3135    0.0450    0.9564    0.0722
+#> 72:    91.4802   -5.7302   -2.2079   -4.2000   -0.8990    0.2112    3.7339    3.2965    1.1222    2.4612    0.1451    0.1622    1.3222    0.0426    1.0215    0.0717
+#> 73:    91.1247   -5.7803   -2.1827   -4.2214   -0.8876    0.1385    3.5472    3.2786    1.1612    2.5216    0.1650    0.1541    1.2811    0.0493    1.0076    0.0696
+#> 74:    90.9765   -5.6534   -2.1808   -4.2511   -0.8824    0.1308    3.8553    3.1146    1.1389    2.8140    0.1725    0.1464    1.2895    0.0518    1.0100    0.0707
+#> 75:    90.4805   -5.7293   -2.1481   -4.2613   -0.8704    0.1395    4.1255    2.9589    1.1623    2.7523    0.1713    0.1391    1.3112    0.0483    0.9439    0.0788
+#> 76:    90.3958   -5.7635   -2.1508   -4.2426   -0.8841    0.1402    4.7427    3.0223    1.2187    2.7243    0.1789    0.1321    1.3065    0.0468    0.9303    0.0758
+#> 77:    90.7518   -5.6517   -2.1498   -4.2773   -0.8730    0.1688    5.9340    2.8712    1.1840    2.8530    0.1828    0.1255    1.3553    0.0422    0.9755    0.0696
+#> 78:    91.0443   -5.7462   -2.1351   -4.2601   -0.8848    0.1746    5.6373    2.9912    1.1312    2.7659    0.1887    0.1192    1.3303    0.0410    0.8578    0.0744
+#> 79:    90.9631   -5.7307   -2.1618   -4.2593   -0.8965    0.1944    5.7520    3.1324    1.1206    2.8212    0.1875    0.1340    1.3519    0.0449    0.9006    0.0799
+#> 80:    90.8703   -5.7665   -2.1989   -4.2476   -0.9122    0.1933    5.4644    3.4527    1.1063    2.7920    0.1781    0.1273    1.3014    0.0497    0.9305    0.0792
+#> 81:    90.7781   -5.8702   -2.1789   -4.2821   -0.8828    0.1793    5.1912    3.7553    1.0662    3.0568    0.1807    0.1209    1.3120    0.0472    0.9808    0.0772
+#> 82:    90.8137   -6.1164   -2.2001   -4.3046   -0.8912    0.1916    4.9316    4.9023    1.0714    3.1363    0.1716    0.1149    1.2724    0.0539    1.0644    0.0693
+#> 83:    90.9900   -6.2077   -2.1695   -4.3121   -0.8924    0.1722    6.7123    5.3290    1.1120    3.2733    0.1741    0.1091    1.2822    0.0510    1.0142    0.0715
+#> 84:    90.8158   -6.3282   -2.1595   -4.2907   -0.9096    0.1818    6.3767    5.9725    1.1342    3.2384    0.1763    0.1037    1.2704    0.0420    0.8891    0.0834
+#> 85:    90.5926   -6.2052   -2.1643   -4.2780   -0.9000    0.1579    6.0579    5.6739    1.1472    3.0765    0.1751    0.0985    1.3263    0.0433    0.9484    0.0814
+#> 86:    90.3804   -6.2707   -2.1470   -4.2627   -0.9260    0.1650    5.7550    5.5542    1.1135    2.9227    0.1956    0.0936    1.2747    0.0447    0.9731    0.0780
+#> 87:    90.8425   -6.4455   -2.1135   -4.2273   -0.9294    0.1491    5.4672    6.8599    1.0716    2.7765    0.1858    0.0928    1.3204    0.0427    1.0005    0.0744
+#> 88:    91.2019   -6.2302   -2.1362   -4.1982   -0.9333    0.1615    5.1939    6.5169    1.1221    2.7203    0.1841    0.0928    1.2689    0.0466    0.9914    0.0771
+#> 89:    90.9907   -6.4173   -2.1174   -4.2493   -0.9182    0.1628    4.9342    6.2408    1.1719    2.9614    0.1749    0.1021    1.3580    0.0403    1.0171    0.0775
+#> 90:    91.1666   -6.5154   -2.1219   -4.2011   -0.9210    0.1594    4.6875    7.4895    1.1930    2.8133    0.1745    0.0970    1.2500    0.0432    0.9467    0.0799
+#> 91:    91.0165   -6.5918   -2.1465   -4.2231   -0.9079    0.1382    4.9772    7.3172    1.1706    2.6789    0.1810    0.1032    1.2958    0.0458    1.1223    0.0639
+#> 92:    91.5386   -6.6567   -2.1376   -4.2247   -0.9358    0.1696    5.5955    7.4188    1.1543    2.6339    0.1754    0.0980    1.2894    0.0463    0.9927    0.0764
+#> 93:    92.2552   -6.5096   -2.1645   -4.2340   -0.9393    0.1798    5.3157    7.0479    1.1612    2.6312    0.1718    0.0931    1.3698    0.0431    1.2649    0.0579
+#> 94:    91.7588   -6.4124   -2.1795   -4.2305   -0.9265    0.1842    5.8275    6.6955    1.1988    2.6403    0.1891    0.0884    1.3022    0.0481    1.0741    0.0713
+#> 95:    91.6694   -6.2975   -2.1946   -4.2442   -0.9392    0.2004    5.5361    6.3607    1.1399    2.7164    0.1796    0.1027    1.2519    0.0513    1.0982    0.0724
+#> 96:    91.2252   -6.0124   -2.2316   -4.2701   -0.8946    0.2375    5.2593    6.0427    1.0829    2.7921    0.2024    0.1147    1.3343    0.0426    1.3064    0.0560
+#> 97:    91.0388   -5.9178   -2.2563   -4.2703   -0.9093    0.2304    5.6825    5.7405    1.0890    2.7678    0.2113    0.1090    1.3517    0.0484    1.4160    0.0493
+#> 98:    90.9013   -6.1325   -2.2597   -4.2776   -0.9133    0.2447    5.7546    5.4535    1.1028    2.6806    0.2130    0.1182    1.2983    0.0451    1.2436    0.0584
+#> 99:    91.2086   -6.0047   -2.2719   -4.2972   -0.9136    0.2738    5.4668    5.1808    1.1776    2.7160    0.2132    0.1123    1.3301    0.0431    1.1850    0.0628
+#> 100:    91.3181   -5.9175   -2.2311   -4.3202   -0.8947    0.2844    5.1935    4.9218    1.1187    2.8660    0.2289    0.1471    1.3409    0.0371    0.9566    0.0806
+#> 101:    91.5112   -5.7721   -2.2292   -4.3060   -0.8842    0.3006    6.3617    4.6757    1.0628    2.7227    0.2174    0.1500    1.3269    0.0407    1.2002    0.0592
+#> 102:    91.5205   -5.9982   -2.2162   -4.3041   -0.8813    0.3065    7.7957    4.4419    1.0320    2.7176    0.2290    0.1474    1.3218    0.0392    0.9685    0.0783
+#> 103:    91.2416   -5.7012   -2.2204   -4.3198   -0.8610    0.3180    7.4059    4.2198    1.0242    2.5817    0.2175    0.1714    1.3003    0.0395    0.9472    0.0825
+#> 104:    91.2662   -5.8136   -2.2357   -4.3063   -0.8700    0.3110    7.0356    4.0088    1.0024    2.4701    0.2067    0.1939    1.2806    0.0407    1.0387    0.0743
+#> 105:    91.4688   -5.7922   -2.2204   -4.3319   -0.8703    0.2767    6.6838    3.8084    0.9751    2.6368    0.1963    0.1967    1.3320    0.0470    1.2043    0.0580
+#> 106:    91.3665   -5.8505   -2.2225   -4.3614   -0.8757    0.2922    7.1982    3.6180    1.0018    2.6378    0.1865    0.2132    1.2613    0.0464    1.0683    0.0693
+#> 107:    91.4934   -5.8933   -2.1993   -4.3433   -0.9112    0.3267    6.8383    3.7379    0.9616    2.5329    0.1772    0.2169    1.2911    0.0449    1.0688    0.0731
+#> 108:    92.1268   -5.7807   -2.1863   -4.4348   -0.9273    0.3235    6.4964    3.5510    1.0093    2.9025    0.1718    0.2061    1.3153    0.0414    0.8982    0.0796
+#> 109:    91.6585   -5.9778   -2.2083   -4.3550   -0.9061    0.3339    6.1715    4.5778    1.0600    2.7574    0.1755    0.2163    1.2754    0.0382    0.8100    0.0868
+#> 110:    92.0456   -5.6784   -2.2236   -4.3483   -0.8911    0.3022    5.8630    4.3489    1.0427    2.6195    0.1667    0.2472    1.3782    0.0336    0.7819    0.0931
+#> 111:    92.2862   -5.6624   -2.1985   -4.3680   -0.9178    0.3156    5.5698    4.1315    1.0149    2.5443    0.1622    0.2348    1.3541    0.0415    0.7848    0.0868
+#> 112:    92.5436   -5.6572   -2.2134   -4.3290   -0.9267    0.3025    5.2913    3.9249    1.0720    2.5118    0.1541    0.2231    1.3798    0.0385    0.9087    0.0799
+#> 113:    92.5970   -5.6263   -2.2030   -4.3044   -0.9123    0.2856    5.0268    3.7287    1.1371    2.4674    0.1764    0.2119    1.3007    0.0455    0.8651    0.0850
+#> 114:    92.9227   -5.6379   -2.2032   -4.2926   -0.9187    0.3282    4.7754    3.5422    1.1022    2.4105    0.1676    0.2013    1.3103    0.0439    0.9003    0.0815
+#> 115:    92.7678   -5.8033   -2.1888   -4.2988   -0.9406    0.3026    4.5367    3.3651    1.1127    2.5043    0.1592    0.1913    1.3643    0.0420    0.9649    0.0800
+#> 116:    92.0655   -5.8531   -2.2033   -4.2989   -0.9487    0.3013    4.3098    3.6792    1.1260    2.4981    0.1513    0.1817    1.2783    0.0445    0.9812    0.0818
+#> 117:    92.2258   -5.7861   -2.2095   -4.3393   -0.9399    0.2998    4.0943    3.4952    1.0697    2.7102    0.1437    0.1752    1.3037    0.0426    0.9067    0.0786
+#> 118:    92.3560   -5.8080   -2.2058   -4.3166   -0.9480    0.2743    4.6025    3.3205    1.0709    2.6198    0.1432    0.1747    1.2850    0.0481    0.9236    0.0769
+#> 119:    92.0489   -5.7726   -2.1972   -4.2740   -0.9087    0.2627    4.3723    3.1544    1.0892    2.4888    0.1620    0.1660    1.2659    0.0435    0.8389    0.0832
+#> 120:    91.9163   -5.8211   -2.2101   -4.2770   -0.9142    0.2674    4.1537    3.1700    1.0985    2.5003    0.1795    0.1577    1.2289    0.0454    0.9280    0.0826
+#> 121:    92.0274   -5.7601   -2.1916   -4.2686   -0.9055    0.2571    3.9460    3.1181    1.1026    2.3985    0.1908    0.1498    1.3015    0.0432    0.9363    0.0807
+#> 122:    92.2933   -5.7972   -2.2019   -4.2888   -0.8932    0.2679    3.7487    3.1755    1.0809    2.3976    0.1843    0.1636    1.2918    0.0433    0.8760    0.0803
+#> 123:    92.3361   -5.8903   -2.1745   -4.3386   -0.9157    0.2665    3.5613    3.8794    1.1308    2.5838    0.1751    0.1555    1.3219    0.0421    0.8987    0.0806
+#> 124:    92.5677   -6.0471   -2.1638   -4.2764   -0.9325    0.2645    3.3832    4.6152    1.1336    2.4546    0.1664    0.1526    1.2938    0.0375    0.9412    0.0798
+#> 125:    92.7852   -5.9841   -2.1661   -4.2825   -0.9373    0.2866    3.2141    4.3844    1.0770    2.3788    0.1581    0.1727    1.3137    0.0417    0.9228    0.0733
+#> 126:    92.7867   -5.9126   -2.1636   -4.2413   -0.9141    0.2756    3.0534    4.1652    1.0857    2.2921    0.1502    0.1994    1.2428    0.0450    0.8206    0.0795
+#> 127:    92.8733   -5.9110   -2.1546   -4.2269   -0.9258    0.2531    2.9007    3.9569    1.0914    2.3822    0.1426    0.2029    1.3043    0.0369    0.8206    0.0795
+#> 128:    93.0457   -5.9202   -2.1505   -4.2076   -0.9466    0.2463    3.3353    3.7591    1.0647    2.3012    0.1355    0.2180    1.3420    0.0385    0.8503    0.0803
+#> 129:    92.9207   -5.9882   -2.1704   -4.2204   -0.9319    0.2464    4.3160    4.4368    1.1187    2.3415    0.1386    0.2316    1.2546    0.0435    0.8777    0.0830
+#> 130:    92.2660   -6.2043   -2.1712   -4.2251   -0.9276    0.2186    4.4370    5.1440    1.0817    2.3426    0.1338    0.2200    1.2733    0.0476    0.9132    0.0753
+#> 131:    92.1286   -6.4163   -2.1634   -4.2642   -0.9223    0.2300    4.2151    6.2253    1.0614    2.5012    0.1333    0.2090    1.2690    0.0430    0.8201    0.0814
+#> 132:    92.0287   -6.4297   -2.1522   -4.2717   -0.9259    0.2250    4.0044    6.1979    1.0791    2.5146    0.1314    0.1985    1.2736    0.0449    0.8671    0.0784
+#> 133:    91.6843   -6.1415   -2.1685   -4.2553   -0.9349    0.2209    3.8041    5.8880    1.1445    2.4277    0.1248    0.2026    1.3381    0.0426    0.9129    0.0858
+#> 134:    91.6928   -6.1408   -2.1467   -4.2709   -0.9270    0.2648    3.6139    5.5936    1.0873    2.5602    0.1305    0.1925    1.3202    0.0416    0.7626    0.0936
+#> 135:    91.7984   -6.0371   -2.1673   -4.2572   -0.9497    0.2480    3.4332    5.3139    1.0649    2.4322    0.1389    0.1829    1.2592    0.0544    0.9459    0.0831
+#> 136:    91.9754   -6.1770   -2.1769   -4.2311   -0.9401    0.2435    3.2616    5.0482    1.0717    2.3106    0.1691    0.1737    1.3170    0.0436    1.0497    0.0816
+#> 137:    92.1546   -6.1216   -2.1731   -4.2278   -0.9401    0.2492    3.0985    4.9378    1.0200    2.1950    0.1606    0.1988    1.4019    0.0421    1.0200    0.0766
+#> 138:    92.2370   -5.9463   -2.1794   -4.1949   -0.9321    0.2460    2.9436    4.6909    1.0203    2.1200    0.1535    0.1947    1.3378    0.0425    0.9448    0.0804
+#> 139:    92.2025   -5.8849   -2.1820   -4.1868   -0.9200    0.2294    2.9458    4.4564    0.9875    2.1260    0.1759    0.2080    1.3244    0.0428    1.0110    0.0778
+#> 140:    91.8182   -5.7494   -2.1569   -4.1998   -0.9095    0.2318    2.7985    4.2336    1.0015    2.1507    0.1830    0.2113    1.3502    0.0432    0.7716    0.0922
+#> 141:    91.8292   -5.9568   -2.1640   -4.2109   -0.9122    0.2130    4.4608    4.0219    1.0180    2.1032    0.1739    0.2057    1.3594    0.0419    0.8088    0.0883
+#> 142:    91.9995   -6.0927   -2.1471   -4.2313   -0.9091    0.1875    4.5415    4.7705    1.0571    2.1286    0.1810    0.1954    1.4145    0.0406    0.8943    0.0847
+#> 143:    91.9160   -5.9892   -2.1546   -4.2043   -0.9355    0.1819    4.3145    4.5320    1.1337    2.1453    0.1888    0.2208    1.3449    0.0394    1.0910    0.0797
+#> 144:    92.0136   -5.9765   -2.1643   -4.2346   -0.9448    0.2455    4.3041    4.3054    1.1130    2.1300    0.1817    0.3253    1.3828    0.0340    1.0535    0.0873
+#> 145:    92.3893   -6.2224   -2.1211   -4.2316   -0.9405    0.2285    5.2279    4.9099    1.0573    2.1037    0.1727    0.3091    1.3797    0.0340    1.0160    0.0832
+#> 146:    92.6097   -6.2204   -2.1406   -4.2210   -0.9217    0.1762    4.9665    5.4466    1.0724    2.1658    0.1640    0.2936    1.4421    0.0408    1.2412    0.0674
+#> 147:    92.8499   -6.0091   -2.1165   -4.2234   -0.9682    0.1783    4.7182    5.1743    1.0188    2.1714    0.1722    0.2789    1.4545    0.0397    1.4472    0.0556
+#> 148:    92.6602   -5.8003   -2.1059   -4.2132   -0.9282    0.2102    4.4823    4.9156    1.0106    2.1075    0.1880    0.2684    1.4013    0.0413    1.0748    0.0758
+#> 149:    92.7388   -5.8727   -2.1569   -4.2185   -0.9266    0.1868    4.2581    4.6698    1.1447    2.0851    0.1786    0.2550    1.3137    0.0413    0.9963    0.0723
+#> 150:    92.7348   -5.7926   -2.1184   -4.2257   -0.9324    0.1966    4.0452    4.4363    1.1760    2.1508    0.1697    0.2704    1.3792    0.0363    0.8204    0.0889
+#> 151:    92.7968   -5.7301   -2.1179   -4.1959   -0.9275    0.1927    3.8430    4.2145    1.1707    2.1702    0.1842    0.2569    1.3789    0.0387    0.7890    0.0873
+#> 152:    92.9011   -5.7417   -2.1622   -4.2086   -0.9215    0.1784    2.0089    3.0670    1.1984    2.2253    0.1814    0.2507    1.3431    0.0395    0.9622    0.0780
+#> 153:    92.8020   -5.7707   -2.1494   -4.2128   -0.9228    0.1818    2.2261    2.9648    1.1192    2.3058    0.1749    0.2548    1.3671    0.0369    0.9507    0.0744
+#> 154:    92.5217   -5.8043   -2.1447   -4.2074   -0.9303    0.1766    2.7638    3.1314    1.1141    2.2814    0.1811    0.2389    1.3250    0.0408    1.0538    0.0689
+#> 155:    92.8765   -5.5586   -2.1275   -4.1639   -0.9320    0.1434    2.4217    2.4658    1.1231    2.1314    0.1746    0.2426    1.3785    0.0407    0.9682    0.0796
+#> 156:    93.0074   -5.6819   -2.1343   -4.1819   -0.9382    0.1587    1.4756    2.7496    1.1200    2.1700    0.1849    0.2320    1.3643    0.0395    1.0875    0.0653
+#> 157:    92.7950   -5.6827   -2.1178   -4.1808   -0.9553    0.1585    1.1607    2.5156    1.1129    2.2109    0.1724    0.2366    1.4045    0.0374    1.1322    0.0676
+#> 158:    92.7684   -5.7106   -2.0933   -4.2149   -0.9717    0.1602    1.4884    2.6532    1.1269    2.1388    0.1838    0.2666    1.4009    0.0348    0.8728    0.0832
+#> 159:    93.0980   -5.8911   -2.1297   -4.2160   -0.9660    0.1407    1.6034    3.3765    1.1182    2.1661    0.1705    0.2804    1.3557    0.0430    1.0076    0.0776
+#> 160:    93.1849   -5.9433   -2.1177   -4.1735   -0.9436    0.1324    1.8692    4.0887    1.1252    2.0213    0.1642    0.2922    1.3251    0.0386    0.8586    0.0820
+#> 161:    93.4771   -5.7768   -2.0899   -4.1697   -0.9670    0.1043    2.0938    2.9110    1.1069    1.9538    0.1820    0.3046    1.3270    0.0413    0.8220    0.0855
+#> 162:    93.4961   -5.6516   -2.0965   -4.1633   -0.9708    0.1263    2.2053    2.3022    1.1179    1.9555    0.1758    0.2891    1.3158    0.0417    0.9943    0.0768
+#> 163:    93.1627   -5.5944   -2.1527   -4.1633   -0.9488    0.1452    2.9600    2.3291    1.1027    1.9555    0.1766    0.3000    1.3626    0.0376    0.9790    0.0743
+#> 164:    92.7951   -5.6646   -2.1539   -4.1699   -0.9447    0.1863    2.9195    2.7599    1.0794    1.9511    0.1651    0.2918    1.4091    0.0357    1.1005    0.0709
+#> 165:    92.6045   -5.5927   -2.1842   -4.1770   -0.9436    0.1939    2.2014    2.3213    1.0622    1.9775    0.1671    0.2899    1.3945    0.0372    1.0533    0.0694
+#> 166:    92.6660   -5.5922   -2.1438   -4.1611   -0.9441    0.1767    1.8951    2.3445    1.1025    2.0399    0.1802    0.2802    1.4229    0.0354    1.1552    0.0682
+#> 167:    92.4353   -5.5118   -2.1415   -4.1730   -0.9124    0.1827    1.5029    1.8145    1.0701    2.0090    0.1727    0.2642    1.4525    0.0362    1.0577    0.0754
+#> 168:    92.3761   -5.5522   -2.1625   -4.1911   -0.9114    0.1782    1.2703    2.0808    1.0814    2.0588    0.1810    0.2658    1.3973    0.0364    0.9874    0.0729
+#> 169:    92.5240   -5.6102   -2.1396   -4.1793   -0.8972    0.1722    1.3115    2.2750    1.0759    2.0910    0.2147    0.2549    1.3553    0.0392    0.9770    0.0759
+#> 170:    92.3827   -5.5942   -2.1231   -4.1847   -0.9338    0.1525    1.5707    2.3778    1.0542    2.0824    0.2042    0.2519    1.4424    0.0363    1.1270    0.0687
+#> 171:    92.1706   -5.6171   -2.1619   -4.1926   -0.9056    0.1390    1.0935    2.2869    1.1239    2.1697    0.1946    0.2624    1.2980    0.0411    0.9988    0.0740
+#> 172:    92.1491   -5.5704   -2.1447   -4.1913   -0.9285    0.1649    1.0292    2.2160    1.1231    2.1905    0.1860    0.2518    1.3154    0.0375    1.0152    0.0772
+#> 173:    91.9987   -5.5411   -2.1434   -4.1803   -0.9056    0.1585    0.6511    1.9989    1.0892    2.2283    0.1899    0.2413    1.3814    0.0380    1.1733    0.0693
+#> 174:    92.0377   -5.5419   -2.1081   -4.1928   -0.9057    0.1418    0.9013    2.0933    1.1813    2.2773    0.1756    0.2559    1.4419    0.0343    0.9942    0.0801
+#> 175:    92.0266   -5.5125   -2.1014   -4.1775   -0.9119    0.1371    0.7194    2.0624    1.1848    2.2328    0.1754    0.2504    1.3987    0.0353    1.0838    0.0728
+#> 176:    92.0365   -5.5658   -2.0914   -4.1646   -0.8956    0.1096    0.7557    2.0588    1.1642    2.1610    0.1617    0.2722    1.3658    0.0347    0.9405    0.0757
+#> 177:    91.8661   -5.6799   -2.0950   -4.1695   -0.9010    0.1193    0.8835    2.8899    1.1394    2.1886    0.1809    0.2777    1.3841    0.0351    0.9178    0.0794
+#> 178:    91.9392   -5.7853   -2.1139   -4.1711   -0.9190    0.1222    0.6673    3.0461    1.1712    2.1948    0.1576    0.2237    1.3623    0.0383    0.9060    0.0795
+#> 179:    92.0116   -5.7560   -2.1418   -4.1711   -0.9153    0.1034    0.4356    2.9139    1.1653    2.1948    0.1497    0.2364    1.3387    0.0392    0.9327    0.0793
+#> 180:    92.1013   -5.7920   -2.1368   -4.1654   -0.9059    0.0912    0.3859    3.2592    1.1357    2.1744    0.1570    0.2337    1.3622    0.0408    1.0299    0.0739
+#> 181:    92.1032   -5.8125   -2.1260   -4.1791   -0.9404    0.1731    0.4091    3.0817    1.1113    2.2356    0.1572    0.2742    1.4509    0.0340    0.9180    0.0865
+#> 182:    92.1315   -5.7991   -2.1327   -4.1737   -0.9319    0.1519    0.3145    3.0292    1.1520    2.1360    0.1661    0.2482    1.4105    0.0361    1.1338    0.0748
+#> 183:    92.1350   -6.0470   -2.1264   -4.1707   -0.9525    0.1787    0.2045    3.8296    1.1229    2.1369    0.1735    0.2453    1.3132    0.0350    1.0507    0.0759
+#> 184:    92.0539   -5.9856   -2.1289   -4.1968   -0.9281    0.1789    0.1166    3.9425    1.0558    2.2320    0.1658    0.2253    1.3390    0.0355    1.1271    0.0720
+#> 185:    92.0755   -6.0524   -2.1385   -4.2076   -0.9313    0.1794    0.1193    4.2430    1.0465    2.3571    0.1566    0.2152    1.3777    0.0368    1.2013    0.0631
+#> 186:    92.1639   -6.0663   -2.1399   -4.1869   -0.9311    0.1817    0.1392    4.4053    1.0495    2.4857    0.1532    0.2331    1.3751    0.0365    1.0497    0.0697
+#> 187:    92.1759   -6.3052   -2.1469   -4.2221   -0.9428    0.1970    0.1356    5.5622    0.9953    2.3367    0.1451    0.2359    1.3754    0.0367    1.0969    0.0656
+#> 188:    92.1744   -6.0494   -2.1406   -4.2445   -0.9595    0.2089    0.1364    4.3818    0.9882    2.4074    0.1480    0.2364    1.3709    0.0396    1.1259    0.0642
+#> 189:    92.1989   -6.1255   -2.1138   -4.2037   -0.9368    0.1796    0.1444    4.6756    0.9840    2.3786    0.1502    0.2303    1.3979    0.0393    1.2011    0.0630
+#> 190:    92.0944   -6.1343   -2.1536   -4.2106   -0.9267    0.2105    0.1288    4.4977    1.0475    2.3593    0.1443    0.2396    1.3247    0.0384    1.1304    0.0711
+#> 191:    92.1238   -6.0639   -2.1462   -4.2883   -0.9311    0.2155    0.1246    4.1066    1.0428    2.6836    0.1442    0.2344    1.4041    0.0344    1.1631    0.0684
+#> 192:    92.1328   -6.0743   -2.1232   -4.3119   -0.9586    0.2319    0.1192    4.1348    1.0020    2.7067    0.1466    0.2515    1.4039    0.0355    1.0021    0.0772
+#> 193:    92.0881   -5.8697   -2.1298   -4.2691   -0.9309    0.2295    0.1050    3.4476    0.9879    2.5496    0.1344    0.2348    1.4677    0.0351    1.0332    0.0705
+#> 194:    92.1086   -5.7557   -2.1176   -4.3249   -0.9029    0.2183    0.0702    2.7793    1.0043    2.8853    0.1460    0.2213    1.4733    0.0325    1.0929    0.0681
+#> 195:    92.1265   -5.8976   -2.1506   -4.2932   -0.9267    0.2511    0.0593    3.4959    0.9881    2.6806    0.1278    0.2505    1.6138    0.0350    1.1327    0.0703
+#> 196:    92.1316   -5.7018   -2.1627   -4.2889   -0.9278    0.2392    0.0717    2.9210    1.0160    2.7067    0.1470    0.2350    1.5063    0.0418    1.0525    0.0734
+#> 197:    92.1756   -5.7899   -2.1604   -4.2819   -0.9248    0.2765    0.0754    2.9991    1.0167    2.6170    0.1465    0.2314    1.4982    0.0387    1.0504    0.0774
+#> 198:    92.2153   -5.8248   -2.1571   -4.2245   -0.9350    0.2195    0.0651    3.0128    0.9196    2.3123    0.1451    0.2363    1.3965    0.0453    1.1561    0.0650
+#> 199:    92.1935   -5.8187   -2.1505   -4.2123   -0.9452    0.2406    0.0535    3.0017    0.9553    2.2771    0.1338    0.2415    1.4485    0.0407    1.0647    0.0699
+#> 200:    92.2308   -5.6732   -2.1578   -4.2182   -0.9324    0.2330    0.0618    2.4070    1.0687    2.2978    0.1513    0.2199    1.4101    0.0385    1.0283    0.0741
+#> 201:    92.2305   -5.6796   -2.1604   -4.2064   -0.9320    0.2262    0.0530    2.4360    1.0551    2.2994    0.1529    0.2219    1.3653    0.0407    1.0115    0.0757
+#> 202:    92.2259   -5.7201   -2.1550   -4.2058   -0.9263    0.2208    0.0461    2.6422    1.0351    2.2888    0.1520    0.2100    1.3739    0.0418    1.0474    0.0730
+#> 203:    92.2212   -5.7539   -2.1457   -4.2037   -0.9303    0.2163    0.0422    2.8480    1.0403    2.2723    0.1465    0.2070    1.3973    0.0404    1.0518    0.0729
+#> 204:    92.2164   -5.8068   -2.1371   -4.2093   -0.9300    0.2163    0.0383    3.1313    1.0426    2.2984    0.1423    0.2091    1.4025    0.0391    1.0284    0.0737
+#> 205:    92.2120   -5.8371   -2.1369   -4.2142   -0.9308    0.2156    0.0347    3.2786    1.0392    2.3249    0.1390    0.2048    1.4115    0.0385    1.0161    0.0733
+#> 206:    92.2071   -5.8681   -2.1391   -4.2176   -0.9287    0.2158    0.0336    3.4917    1.0442    2.3461    0.1388    0.2041    1.4017    0.0394    0.9977    0.0735
+#> 207:    92.2078   -5.8966   -2.1424   -4.2230   -0.9286    0.2181    0.0337    3.6741    1.0456    2.3743    0.1369    0.2009    1.3988    0.0397    0.9792    0.0740
+#> 208:    92.2077   -5.8972   -2.1459   -4.2249   -0.9300    0.2208    0.0340    3.6775    1.0460    2.3889    0.1362    0.1985    1.3969    0.0394    0.9729    0.0742
+#> 209:    92.2091   -5.8831   -2.1488   -4.2271   -0.9326    0.2227    0.0337    3.6019    1.0465    2.4005    0.1380    0.1967    1.3949    0.0395    0.9745    0.0741
+#> 210:    92.2115   -5.8806   -2.1490   -4.2282   -0.9349    0.2238    0.0324    3.5652    1.0516    2.4211    0.1386    0.1979    1.3941    0.0391    0.9820    0.0740
+#> 211:    92.2151   -5.8791   -2.1516   -4.2291   -0.9363    0.2258    0.0318    3.5315    1.0458    2.4465    0.1390    0.1989    1.3918    0.0394    0.9901    0.0735
+#> 212:    92.2189   -5.8789   -2.1532   -4.2297   -0.9380    0.2269    0.0312    3.4989    1.0434    2.4718    0.1409    0.1993    1.3884    0.0394    1.0007    0.0732
+#> 213:    92.2226   -5.8714   -2.1556   -4.2287   -0.9395    0.2255    0.0313    3.4460    1.0440    2.4800    0.1413    0.1993    1.3859    0.0397    1.0157    0.0722
+#> 214:    92.2233   -5.8706   -2.1553   -4.2279   -0.9394    0.2237    0.0309    3.4283    1.0431    2.4809    0.1414    0.2003    1.3849    0.0399    1.0186    0.0720
+#> 215:    92.2242   -5.8750   -2.1536   -4.2285   -0.9390    0.2212    0.0312    3.4442    1.0455    2.4800    0.1417    0.2015    1.3830    0.0401    1.0126    0.0723
+#> 216:    92.2252   -5.8788   -2.1521   -4.2277   -0.9393    0.2192    0.0316    3.4718    1.0459    2.4791    0.1410    0.2028    1.3817    0.0402    1.0046    0.0726
+#> 217:    92.2255   -5.8869   -2.1516   -4.2268   -0.9400    0.2177    0.0322    3.5295    1.0456    2.4751    0.1407    0.2042    1.3814    0.0401    1.0011    0.0729
+#> 218:    92.2230   -5.8819   -2.1511   -4.2259   -0.9400    0.2164    0.0327    3.5004    1.0473    2.4693    0.1399    0.2051    1.3784    0.0401    0.9962    0.0731
+#> 219:    92.2206   -5.8761   -2.1499   -4.2269   -0.9393    0.2156    0.0325    3.4736    1.0494    2.4667    0.1399    0.2066    1.3794    0.0399    0.9925    0.0734
+#> 220:    92.2185   -5.8775   -2.1494   -4.2267   -0.9380    0.2150    0.0331    3.4894    1.0511    2.4596    0.1396    0.2090    1.3788    0.0398    0.9881    0.0734
+#> 221:    92.2180   -5.8774   -2.1499   -4.2271   -0.9369    0.2142    0.0328    3.4873    1.0518    2.4559    0.1399    0.2109    1.3776    0.0399    0.9842    0.0735
+#> 222:    92.2191   -5.8833   -2.1503   -4.2280   -0.9359    0.2127    0.0328    3.5384    1.0518    2.4533    0.1400    0.2114    1.3778    0.0400    0.9825    0.0735
+#> 223:    92.2199   -5.8831   -2.1486   -4.2288   -0.9343    0.2112    0.0326    3.5474    1.0539    2.4515    0.1396    0.2127    1.3795    0.0398    0.9806    0.0735
+#> 224:    92.2206   -5.8870   -2.1467   -4.2283   -0.9331    0.2093    0.0324    3.5619    1.0550    2.4482    0.1395    0.2133    1.3805    0.0395    0.9792    0.0735
+#> 225:    92.2218   -5.8929   -2.1459   -4.2289   -0.9328    0.2086    0.0322    3.6001    1.0548    2.4492    0.1388    0.2142    1.3804    0.0393    0.9809    0.0734
+#> 226:    92.2228   -5.8909   -2.1440   -4.2293   -0.9322    0.2082    0.0320    3.6007    1.0566    2.4513    0.1383    0.2143    1.3826    0.0390    0.9815    0.0737
+#> 227:    92.2234   -5.8838   -2.1444   -4.2304   -0.9319    0.2088    0.0319    3.5748    1.0551    2.4562    0.1381    0.2140    1.3814    0.0390    0.9836    0.0736
+#> 228:    92.2243   -5.8835   -2.1444   -4.2314   -0.9326    0.2093    0.0317    3.5756    1.0526    2.4607    0.1377    0.2143    1.3824    0.0389    0.9901    0.0733
+#> 229:    92.2251   -5.8916   -2.1442   -4.2307   -0.9330    0.2095    0.0318    3.6344    1.0501    2.4580    0.1371    0.2148    1.3850    0.0388    0.9930    0.0733
+#> 230:    92.2250   -5.8951   -2.1442   -4.2303   -0.9334    0.2107    0.0318    3.6533    1.0475    2.4550    0.1369    0.2150    1.3872    0.0387    0.9953    0.0734
+#> 231:    92.2247   -5.8964   -2.1444   -4.2300   -0.9345    0.2119    0.0322    3.6564    1.0446    2.4549    0.1368    0.2151    1.3899    0.0388    0.9991    0.0733
+#> 232:    92.2230   -5.8982   -2.1451   -4.2306   -0.9352    0.2132    0.0326    3.6643    1.0422    2.4591    0.1365    0.2155    1.3934    0.0388    1.0052    0.0729
+#> 233:    92.2223   -5.9022   -2.1455   -4.2327   -0.9354    0.2141    0.0329    3.6824    1.0396    2.4697    0.1362    0.2165    1.3970    0.0388    1.0107    0.0726
+#> 234:    92.2200   -5.9075   -2.1457   -4.2324   -0.9348    0.2140    0.0335    3.7056    1.0364    2.4735    0.1366    0.2174    1.3977    0.0388    1.0163    0.0723
+#> 235:    92.2171   -5.9094   -2.1457   -4.2338   -0.9342    0.2142    0.0342    3.7222    1.0339    2.4854    0.1372    0.2189    1.3999    0.0389    1.0228    0.0721
+#> 236:    92.2161   -5.9195   -2.1464   -4.2368   -0.9340    0.2140    0.0346    3.7789    1.0329    2.4986    0.1376    0.2200    1.4007    0.0389    1.0281    0.0721
+#> 237:    92.2163   -5.9214   -2.1469   -4.2390   -0.9330    0.2143    0.0347    3.7862    1.0329    2.5074    0.1378    0.2195    1.4030    0.0389    1.0320    0.0719
+#> 238:    92.2165   -5.9203   -2.1473   -4.2399   -0.9326    0.2143    0.0347    3.7781    1.0336    2.5100    0.1381    0.2186    1.4031    0.0388    1.0347    0.0719
+#> 239:    92.2173   -5.9212   -2.1471   -4.2403   -0.9325    0.2136    0.0344    3.7908    1.0350    2.5128    0.1384    0.2175    1.4021    0.0389    1.0352    0.0718
+#> 240:    92.2178   -5.9217   -2.1470   -4.2394   -0.9322    0.2133    0.0342    3.8082    1.0363    2.5118    0.1384    0.2169    1.4025    0.0387    1.0345    0.0719
+#> 241:    92.2177   -5.9200   -2.1470   -4.2383   -0.9318    0.2136    0.0340    3.8123    1.0381    2.5110    0.1385    0.2161    1.4028    0.0387    1.0336    0.0720
+#> 242:    92.2170   -5.9109   -2.1478   -4.2371   -0.9308    0.2136    0.0340    3.7766    1.0387    2.5090    0.1385    0.2157    1.4027    0.0386    1.0322    0.0720
+#> 243:    92.2165   -5.9029   -2.1484   -4.2371   -0.9300    0.2140    0.0340    3.7433    1.0389    2.5128    0.1386    0.2150    1.4032    0.0385    1.0342    0.0720
+#> 244:    92.2161   -5.8998   -2.1489   -4.2374   -0.9294    0.2143    0.0340    3.7242    1.0392    2.5173    0.1386    0.2148    1.4030    0.0384    1.0343    0.0720
+#> 245:    92.2153   -5.9048   -2.1494   -4.2370   -0.9291    0.2149    0.0339    3.7491    1.0399    2.5182    0.1386    0.2146    1.4019    0.0383    1.0317    0.0722
+#> 246:    92.2147   -5.9093   -2.1498   -4.2371   -0.9289    0.2156    0.0339    3.7727    1.0409    2.5218    0.1384    0.2145    1.4016    0.0382    1.0309    0.0724
+#> 247:    92.2143   -5.9124   -2.1503   -4.2368   -0.9286    0.2159    0.0338    3.7972    1.0408    2.5232    0.1383    0.2144    1.4012    0.0382    1.0297    0.0725
+#> 248:    92.2137   -5.9122   -2.1500   -4.2367   -0.9286    0.2160    0.0336    3.8036    1.0409    2.5245    0.1382    0.2141    1.4022    0.0381    1.0272    0.0727
+#> 249:    92.2133   -5.9101   -2.1501   -4.2364   -0.9288    0.2160    0.0334    3.7984    1.0406    2.5268    0.1383    0.2136    1.4031    0.0381    1.0273    0.0726
+#> 250:    92.2139   -5.9115   -2.1502   -4.2368   -0.9289    0.2167    0.0335    3.8015    1.0412    2.5326    0.1380    0.2132    1.4035    0.0381    1.0261    0.0727
+#> 251:    92.2132   -5.9123   -2.1502   -4.2373   -0.9297    0.2170    0.0338    3.8015    1.0421    2.5362    0.1376    0.2126    1.4053    0.0379    1.0274    0.0727
+#> 252:    92.2128   -5.9106   -2.1502   -4.2366   -0.9299    0.2174    0.0338    3.7931    1.0427    2.5345    0.1371    0.2120    1.4062    0.0379    1.0262    0.0728
+#> 253:    92.2118   -5.9098   -2.1492   -4.2364   -0.9297    0.2173    0.0340    3.8011    1.0420    2.5338    0.1369    0.2121    1.4074    0.0378    1.0232    0.0731
+#> 254:    92.2107   -5.9104   -2.1479   -4.2362   -0.9296    0.2171    0.0341    3.8085    1.0398    2.5330    0.1366    0.2123    1.4093    0.0377    1.0230    0.0731
+#> 255:    92.2103   -5.9133   -2.1466   -4.2359   -0.9299    0.2166    0.0341    3.8219    1.0381    2.5346    0.1363    0.2122    1.4105    0.0377    1.0230    0.0731
+#> 256:    92.2094   -5.9171   -2.1453   -4.2356   -0.9299    0.2161    0.0341    3.8498    1.0366    2.5366    0.1362    0.2123    1.4114    0.0375    1.0239    0.0731
+#> 257:    92.2091   -5.9169   -2.1441   -4.2353   -0.9302    0.2153    0.0341    3.8529    1.0347    2.5385    0.1360    0.2118    1.4126    0.0375    1.0265    0.0729
+#> 258:    92.2089   -5.9191   -2.1431   -4.2349   -0.9301    0.2145    0.0340    3.8608    1.0331    2.5392    0.1359    0.2119    1.4126    0.0375    1.0282    0.0728
+#> 259:    92.2093   -5.9249   -2.1426   -4.2337   -0.9301    0.2145    0.0341    3.8853    1.0321    2.5385    0.1361    0.2120    1.4114    0.0374    1.0280    0.0728
+#> 260:    92.2095   -5.9297   -2.1415   -4.2328   -0.9303    0.2146    0.0339    3.9108    1.0302    2.5367    0.1358    0.2125    1.4112    0.0373    1.0265    0.0729
+#> 261:    92.2096   -5.9341   -2.1407   -4.2321   -0.9307    0.2147    0.0338    3.9343    1.0278    2.5343    0.1356    0.2131    1.4121    0.0373    1.0272    0.0728
+#> 262:    92.2094   -5.9342   -2.1398   -4.2312   -0.9310    0.2149    0.0336    3.9314    1.0254    2.5313    0.1356    0.2139    1.4115    0.0372    1.0249    0.0729
+#> 263:    92.2088   -5.9376   -2.1388   -4.2304   -0.9313    0.2153    0.0334    3.9452    1.0232    2.5289    0.1357    0.2143    1.4109    0.0371    1.0228    0.0731
+#> 264:    92.2077   -5.9410   -2.1379   -4.2301   -0.9317    0.2153    0.0333    3.9571    1.0204    2.5265    0.1356    0.2147    1.4105    0.0371    1.0224    0.0731
+#> 265:    92.2069   -5.9454   -2.1374   -4.2296   -0.9322    0.2154    0.0332    3.9800    1.0182    2.5230    0.1356    0.2147    1.4115    0.0371    1.0232    0.0730
+#> 266:    92.2067   -5.9463   -2.1370   -4.2291   -0.9324    0.2155    0.0330    3.9809    1.0165    2.5217    0.1354    0.2148    1.4121    0.0371    1.0220    0.0730
+#> 267:    92.2064   -5.9492   -2.1368   -4.2282   -0.9329    0.2154    0.0328    3.9874    1.0150    2.5199    0.1357    0.2150    1.4124    0.0370    1.0233    0.0729
+#> 268:    92.2065   -5.9468   -2.1360   -4.2276   -0.9333    0.2155    0.0328    3.9722    1.0133    2.5171    0.1362    0.2155    1.4133    0.0369    1.0243    0.0729
+#> 269:    92.2066   -5.9438   -2.1352   -4.2267   -0.9335    0.2151    0.0328    3.9526    1.0122    2.5142    0.1367    0.2154    1.4140    0.0369    1.0244    0.0728
+#> 270:    92.2067   -5.9388   -2.1351   -4.2259   -0.9339    0.2151    0.0326    3.9283    1.0112    2.5114    0.1370    0.2157    1.4137    0.0368    1.0240    0.0729
+#> 271:    92.2069   -5.9350   -2.1344   -4.2252   -0.9342    0.2152    0.0324    3.9072    1.0107    2.5094    0.1370    0.2158    1.4136    0.0367    1.0222    0.0730
+#> 272:    92.2069   -5.9317   -2.1341   -4.2246   -0.9348    0.2153    0.0321    3.8870    1.0104    2.5082    0.1372    0.2157    1.4139    0.0366    1.0219    0.0731
+#> 273:    92.2068   -5.9289   -2.1340   -4.2240   -0.9348    0.2152    0.0320    3.8711    1.0101    2.5075    0.1373    0.2159    1.4146    0.0366    1.0232    0.0730
+#> 274:    92.2067   -5.9271   -2.1337   -4.2239   -0.9350    0.2153    0.0318    3.8569    1.0101    2.5085    0.1377    0.2157    1.4144    0.0366    1.0239    0.0731
+#> 275:    92.2063   -5.9264   -2.1339   -4.2235   -0.9353    0.2156    0.0317    3.8476    1.0097    2.5078    0.1382    0.2157    1.4143    0.0365    1.0256    0.0730
+#> 276:    92.2059   -5.9271   -2.1339   -4.2231   -0.9354    0.2160    0.0316    3.8417    1.0097    2.5074    0.1387    0.2156    1.4132    0.0365    1.0260    0.0730
+#> 277:    92.2059   -5.9283   -2.1342   -4.2225   -0.9356    0.2163    0.0316    3.8412    1.0094    2.5073    0.1393    0.2155    1.4122    0.0364    1.0283    0.0729
+#> 278:    92.2062   -5.9278   -2.1341   -4.2220   -0.9361    0.2166    0.0318    3.8331    1.0081    2.5069    0.1397    0.2154    1.4117    0.0364    1.0321    0.0727
+#> 279:    92.2061   -5.9264   -2.1341   -4.2214   -0.9363    0.2168    0.0319    3.8188    1.0072    2.5051    0.1402    0.2155    1.4111    0.0364    1.0342    0.0726
+#> 280:    92.2057   -5.9263   -2.1344   -4.2211   -0.9365    0.2167    0.0321    3.8114    1.0072    2.5061    0.1406    0.2148    1.4108    0.0365    1.0361    0.0725
+#> 281:    92.2048   -5.9269   -2.1344   -4.2208   -0.9365    0.2166    0.0324    3.8082    1.0076    2.5077    0.1410    0.2142    1.4098    0.0365    1.0363    0.0726
+#> 282:    92.2045   -5.9257   -2.1347   -4.2205   -0.9366    0.2165    0.0328    3.8040    1.0082    2.5092    0.1413    0.2138    1.4090    0.0365    1.0364    0.0726
+#> 283:    92.2038   -5.9235   -2.1348   -4.2201   -0.9363    0.2163    0.0331    3.7955    1.0089    2.5108    0.1415    0.2134    1.4086    0.0365    1.0362    0.0726
+#> 284:    92.2032   -5.9234   -2.1348   -4.2198   -0.9359    0.2162    0.0335    3.7945    1.0100    2.5118    0.1420    0.2129    1.4083    0.0365    1.0362    0.0726
+#> 285:    92.2028   -5.9236   -2.1347   -4.2193   -0.9360    0.2161    0.0339    3.7930    1.0104    2.5124    0.1422    0.2125    1.4080    0.0365    1.0373    0.0725
+#> 286:    92.2020   -5.9221   -2.1344   -4.2187   -0.9355    0.2156    0.0341    3.7872    1.0104    2.5134    0.1425    0.2121    1.4074    0.0364    1.0377    0.0725
+#> 287:    92.2013   -5.9213   -2.1341   -4.2183   -0.9354    0.2154    0.0343    3.7888    1.0098    2.5151    0.1428    0.2119    1.4075    0.0364    1.0390    0.0724
+#> 288:    92.2003   -5.9195   -2.1339   -4.2182   -0.9355    0.2152    0.0343    3.7831    1.0090    2.5180    0.1430    0.2116    1.4082    0.0364    1.0408    0.0723
+#> 289:    92.1995   -5.9186   -2.1339   -4.2182   -0.9355    0.2154    0.0343    3.7805    1.0083    2.5217    0.1429    0.2115    1.4085    0.0364    1.0426    0.0722
+#> 290:    92.1984   -5.9180   -2.1339   -4.2177   -0.9354    0.2153    0.0343    3.7767    1.0080    2.5219    0.1427    0.2113    1.4083    0.0365    1.0429    0.0721
+#> 291:    92.1975   -5.9167   -2.1334   -4.2175   -0.9355    0.2151    0.0343    3.7701    1.0080    2.5230    0.1427    0.2108    1.4083    0.0364    1.0439    0.0721
+#> 292:    92.1971   -5.9175   -2.1330   -4.2166   -0.9356    0.2144    0.0342    3.7722    1.0081    2.5227    0.1426    0.2107    1.4079    0.0364    1.0443    0.0721
+#> 293:    92.1963   -5.9188   -2.1330   -4.2157   -0.9357    0.2141    0.0342    3.7768    1.0083    2.5242    0.1425    0.2103    1.4073    0.0364    1.0439    0.0721
+#> 294:    92.1953   -5.9189   -2.1328   -4.2157   -0.9357    0.2136    0.0344    3.7727    1.0078    2.5294    0.1427    0.2095    1.4079    0.0364    1.0456    0.0720
+#> 295:    92.1946   -5.9171   -2.1329   -4.2153   -0.9355    0.2135    0.0345    3.7623    1.0081    2.5331    0.1426    0.2090    1.4080    0.0364    1.0462    0.0720
+#> 296:    92.1940   -5.9154   -2.1329   -4.2150   -0.9354    0.2130    0.0346    3.7523    1.0082    2.5354    0.1425    0.2084    1.4075    0.0365    1.0463    0.0720
+#> 297:    92.1934   -5.9128   -2.1330   -4.2145   -0.9351    0.2127    0.0349    3.7395    1.0084    2.5373    0.1423    0.2079    1.4072    0.0365    1.0453    0.0720
+#> 298:    92.1932   -5.9128   -2.1332   -4.2138   -0.9347    0.2120    0.0350    3.7372    1.0085    2.5368    0.1423    0.2075    1.4068    0.0365    1.0449    0.0720
+#> 299:    92.1927   -5.9120   -2.1333   -4.2131   -0.9344    0.2112    0.0352    3.7324    1.0088    2.5366    0.1422    0.2070    1.4059    0.0366    1.0441    0.0721
+#> 300:    92.1921   -5.9097   -2.1335   -4.2122   -0.9343    0.2105    0.0353    3.7211    1.0096    2.5357    0.1425    0.2066    1.4050    0.0367    1.0443    0.0721
+#> 301:    92.1915   -5.9081   -2.1337   -4.2116   -0.9343    0.2098    0.0355    3.7110    1.0104    2.5355    0.1427    0.2061    1.4041    0.0368    1.0448    0.0721
+#> 302:    92.1912   -5.9067   -2.1340   -4.2108   -0.9342    0.2092    0.0355    3.7052    1.0114    2.5348    0.1428    0.2055    1.4036    0.0369    1.0442    0.0722
+#> 303:    92.1913   -5.9039   -2.1342   -4.2113   -0.9342    0.2087    0.0355    3.6925    1.0123    2.5408    0.1430    0.2049    1.4028    0.0369    1.0436    0.0723
+#> 304:    92.1920   -5.9012   -2.1342   -4.2119   -0.9342    0.2081    0.0356    3.6781    1.0129    2.5476    0.1432    0.2044    1.4026    0.0369    1.0436    0.0723
+#> 305:    92.1923   -5.8984   -2.1343   -4.2123   -0.9341    0.2076    0.0354    3.6633    1.0134    2.5525    0.1434    0.2038    1.4022    0.0370    1.0434    0.0724
+#> 306:    92.1926   -5.8977   -2.1343   -4.2121   -0.9343    0.2072    0.0354    3.6603    1.0144    2.5567    0.1436    0.2030    1.4022    0.0369    1.0431    0.0724
+#> 307:    92.1931   -5.8970   -2.1346   -4.2124   -0.9344    0.2068    0.0353    3.6555    1.0154    2.5617    0.1438    0.2021    1.4017    0.0370    1.0431    0.0725
+#> 308:    92.1935   -5.8963   -2.1347   -4.2127   -0.9343    0.2062    0.0351    3.6486    1.0166    2.5665    0.1439    0.2012    1.4017    0.0370    1.0431    0.0724
+#> 309:    92.1934   -5.8965   -2.1349   -4.2130   -0.9344    0.2058    0.0350    3.6454    1.0180    2.5711    0.1439    0.2003    1.4013    0.0370    1.0427    0.0725
+#> 310:    92.1935   -5.8965   -2.1349   -4.2133   -0.9345    0.2055    0.0350    3.6401    1.0193    2.5761    0.1439    0.1993    1.4013    0.0371    1.0418    0.0725
+#> 311:    92.1931   -5.8976   -2.1349   -4.2139   -0.9346    0.2052    0.0349    3.6416    1.0207    2.5820    0.1437    0.1982    1.4015    0.0370    1.0411    0.0726
+#> 312:    92.1928   -5.8995   -2.1350   -4.2149   -0.9349    0.2053    0.0350    3.6472    1.0222    2.5902    0.1437    0.1972    1.4018    0.0370    1.0412    0.0727
+#> 313:    92.1922   -5.8999   -2.1350   -4.2159   -0.9352    0.2055    0.0350    3.6450    1.0236    2.5989    0.1436    0.1962    1.4017    0.0369    1.0407    0.0728
+#> 314:    92.1913   -5.9021   -2.1353   -4.2171   -0.9353    0.2055    0.0350    3.6532    1.0244    2.6086    0.1437    0.1951    1.4019    0.0369    1.0409    0.0728
+#> 315:    92.1905   -5.9033   -2.1358   -4.2178   -0.9354    0.2055    0.0351    3.6591    1.0252    2.6142    0.1438    0.1941    1.4018    0.0369    1.0420    0.0728
+#> 316:    92.1895   -5.9043   -2.1358   -4.2186   -0.9352    0.2053    0.0352    3.6648    1.0266    2.6207    0.1441    0.1934    1.4016    0.0369    1.0420    0.0729
+#> 317:    92.1888   -5.9041   -2.1359   -4.2200   -0.9352    0.2052    0.0352    3.6673    1.0278    2.6312    0.1444    0.1926    1.4014    0.0369    1.0416    0.0729
+#> 318:    92.1879   -5.9039   -2.1360   -4.2212   -0.9352    0.2052    0.0354    3.6670    1.0292    2.6380    0.1446    0.1919    1.4010    0.0369    1.0403    0.0730
+#> 319:    92.1871   -5.9046   -2.1361   -4.2222   -0.9353    0.2052    0.0354    3.6709    1.0306    2.6432    0.1448    0.1912    1.4008    0.0369    1.0394    0.0731
+#> 320:    92.1863   -5.9023   -2.1365   -4.2229   -0.9355    0.2052    0.0355    3.6602    1.0318    2.6466    0.1448    0.1903    1.4011    0.0369    1.0398    0.0731
+#> 321:    92.1855   -5.8996   -2.1368   -4.2236   -0.9354    0.2053    0.0355    3.6491    1.0329    2.6505    0.1448    0.1895    1.4017    0.0369    1.0402    0.0731
+#> 322:    92.1850   -5.8979   -2.1370   -4.2243   -0.9353    0.2057    0.0356    3.6399    1.0341    2.6534    0.1447    0.1888    1.4020    0.0368    1.0394    0.0732
+#> 323:    92.1844   -5.8984   -2.1371   -4.2251   -0.9352    0.2059    0.0356    3.6431    1.0346    2.6566    0.1447    0.1882    1.4026    0.0368    1.0389    0.0733
+#> 324:    92.1838   -5.8967   -2.1372   -4.2257   -0.9353    0.2062    0.0356    3.6392    1.0351    2.6598    0.1445    0.1875    1.4031    0.0368    1.0382    0.0734
+#> 325:    92.1835   -5.8936   -2.1374   -4.2264   -0.9351    0.2066    0.0355    3.6288    1.0352    2.6633    0.1444    0.1869    1.4043    0.0367    1.0391    0.0734
+#> 326:    92.1837   -5.8936   -2.1376   -4.2276   -0.9350    0.2071    0.0354    3.6296    1.0354    2.6684    0.1444    0.1865    1.4043    0.0367    1.0380    0.0735
+#> 327:    92.1837   -5.8943   -2.1378   -4.2289   -0.9347    0.2076    0.0354    3.6348    1.0357    2.6746    0.1444    0.1860    1.4043    0.0366    1.0380    0.0735
+#> 328:    92.1838   -5.8953   -2.1380   -4.2297   -0.9345    0.2081    0.0354    3.6456    1.0360    2.6776    0.1444    0.1856    1.4043    0.0366    1.0379    0.0735
+#> 329:    92.1836   -5.8974   -2.1383   -4.2305   -0.9342    0.2085    0.0356    3.6591    1.0361    2.6802    0.1444    0.1852    1.4043    0.0366    1.0385    0.0735
+#> 330:    92.1832   -5.8994   -2.1387   -4.2305   -0.9342    0.2088    0.0358    3.6715    1.0364    2.6798    0.1443    0.1849    1.4037    0.0367    1.0378    0.0736
+#> 331:    92.1826   -5.8983   -2.1391   -4.2302   -0.9342    0.2091    0.0357    3.6670    1.0368    2.6800    0.1442    0.1845    1.4038    0.0367    1.0379    0.0736
+#> 332:    92.1824   -5.8959   -2.1396   -4.2301   -0.9341    0.2097    0.0357    3.6576    1.0375    2.6792    0.1442    0.1842    1.4034    0.0367    1.0372    0.0737
+#> 333:    92.1826   -5.8937   -2.1401   -4.2304   -0.9340    0.2104    0.0356    3.6487    1.0383    2.6798    0.1442    0.1838    1.4029    0.0367    1.0360    0.0738
+#> 334:    92.1825   -5.8911   -2.1407   -4.2311   -0.9339    0.2112    0.0355    3.6378    1.0390    2.6825    0.1444    0.1834    1.4025    0.0367    1.0349    0.0739
+#> 335:    92.1830   -5.8887   -2.1411   -4.2317   -0.9336    0.2118    0.0355    3.6294    1.0396    2.6850    0.1444    0.1830    1.4022    0.0367    1.0338    0.0740
+#> 336:    92.1834   -5.8872   -2.1413   -4.2324   -0.9334    0.2124    0.0356    3.6249    1.0402    2.6880    0.1444    0.1825    1.4024    0.0367    1.0339    0.0740
+#> 337:    92.1835   -5.8869   -2.1416   -4.2334   -0.9332    0.2131    0.0356    3.6252    1.0411    2.6926    0.1443    0.1821    1.4029    0.0366    1.0330    0.0741
+#> 338:    92.1839   -5.8882   -2.1418   -4.2346   -0.9333    0.2137    0.0357    3.6332    1.0421    2.6972    0.1441    0.1815    1.4036    0.0366    1.0324    0.0742
+#> 339:    92.1845   -5.8869   -2.1420   -4.2358   -0.9332    0.2143    0.0357    3.6261    1.0428    2.7021    0.1439    0.1810    1.4043    0.0366    1.0322    0.0742
+#> 340:    92.1846   -5.8863   -2.1421   -4.2367   -0.9331    0.2147    0.0357    3.6242    1.0436    2.7060    0.1439    0.1804    1.4049    0.0365    1.0328    0.0743
+#> 341:    92.1848   -5.8847   -2.1421   -4.2378   -0.9330    0.2150    0.0356    3.6177    1.0442    2.7099    0.1439    0.1798    1.4056    0.0366    1.0334    0.0743
+#> 342:    92.1848   -5.8838   -2.1421   -4.2390   -0.9330    0.2154    0.0355    3.6114    1.0449    2.7151    0.1438    0.1792    1.4064    0.0365    1.0332    0.0743
+#> 343:    92.1849   -5.8840   -2.1423   -4.2398   -0.9330    0.2157    0.0353    3.6109    1.0459    2.7191    0.1438    0.1785    1.4060    0.0366    1.0334    0.0743
+#> 344:    92.1851   -5.8839   -2.1423   -4.2406   -0.9330    0.2159    0.0352    3.6092    1.0467    2.7229    0.1440    0.1779    1.4060    0.0365    1.0338    0.0743
+#> 345:    92.1850   -5.8841   -2.1424   -4.2414   -0.9331    0.2162    0.0352    3.6070    1.0472    2.7263    0.1441    0.1774    1.4056    0.0365    1.0341    0.0743
+#> 346:    92.1848   -5.8839   -2.1424   -4.2420   -0.9333    0.2164    0.0352    3.6048    1.0479    2.7292    0.1443    0.1769    1.4058    0.0365    1.0344    0.0743
+#> 347:    92.1846   -5.8835   -2.1425   -4.2427   -0.9334    0.2166    0.0353    3.6017    1.0495    2.7330    0.1444    0.1763    1.4053    0.0365    1.0343    0.0743
+#> 348:    92.1846   -5.8825   -2.1427   -4.2434   -0.9336    0.2168    0.0353    3.5968    1.0508    2.7362    0.1445    0.1757    1.4051    0.0365    1.0343    0.0743
+#> 349:    92.1846   -5.8820   -2.1432   -4.2444   -0.9337    0.2172    0.0352    3.5937    1.0519    2.7412    0.1446    0.1752    1.4047    0.0365    1.0343    0.0743
+#> 350:    92.1845   -5.8817   -2.1435   -4.2454   -0.9338    0.2179    0.0351    3.5899    1.0526    2.7460    0.1448    0.1747    1.4042    0.0365    1.0339    0.0744
+#> 351:    92.1844   -5.8824   -2.1439   -4.2468   -0.9338    0.2184    0.0350    3.5917    1.0535    2.7531    0.1448    0.1740    1.4041    0.0365    1.0336    0.0744
+#> 352:    92.1840   -5.8840   -2.1442   -4.2482   -0.9338    0.2189    0.0350    3.6013    1.0543    2.7603    0.1450    0.1734    1.4044    0.0364    1.0342    0.0744
+#> 353:    92.1838   -5.8848   -2.1445   -4.2492   -0.9336    0.2194    0.0349    3.6030    1.0552    2.7652    0.1451    0.1730    1.4043    0.0364    1.0338    0.0744
+#> 354:    92.1838   -5.8835   -2.1449   -4.2501   -0.9336    0.2197    0.0349    3.5961    1.0563    2.7697    0.1452    0.1723    1.4044    0.0364    1.0342    0.0744
+#> 355:    92.1837   -5.8826   -2.1453   -4.2511   -0.9335    0.2199    0.0348    3.5910    1.0569    2.7757    0.1451    0.1718    1.4053    0.0364    1.0348    0.0744
+#> 356:    92.1835   -5.8826   -2.1456   -4.2520   -0.9334    0.2198    0.0348    3.5922    1.0577    2.7815    0.1451    0.1712    1.4054    0.0364    1.0352    0.0744
+#> 357:    92.1834   -5.8818   -2.1457   -4.2525   -0.9334    0.2198    0.0349    3.5894    1.0588    2.7852    0.1449    0.1706    1.4058    0.0364    1.0354    0.0744
+#> 358:    92.1834   -5.8808   -2.1459   -4.2531   -0.9334    0.2197    0.0348    3.5861    1.0600    2.7891    0.1449    0.1701    1.4062    0.0364    1.0361    0.0744
+#> 359:    92.1833   -5.8799   -2.1459   -4.2533   -0.9333    0.2197    0.0350    3.5822    1.0607    2.7903    0.1448    0.1696    1.4063    0.0364    1.0360    0.0744
+#> 360:    92.1831   -5.8792   -2.1460   -4.2534   -0.9332    0.2196    0.0351    3.5787    1.0613    2.7914    0.1446    0.1691    1.4065    0.0364    1.0361    0.0744
+#> 361:    92.1831   -5.8785   -2.1460   -4.2542   -0.9331    0.2196    0.0351    3.5771    1.0620    2.7969    0.1445    0.1688    1.4072    0.0364    1.0366    0.0744
+#> 362:    92.1832   -5.8780   -2.1462   -4.2547   -0.9331    0.2195    0.0351    3.5750    1.0625    2.8017    0.1443    0.1683    1.4079    0.0363    1.0369    0.0744
+#> 363:    92.1830   -5.8788   -2.1464   -4.2551   -0.9331    0.2192    0.0351    3.5785    1.0630    2.8057    0.1443    0.1677    1.4081    0.0363    1.0377    0.0743
+#> 364:    92.1829   -5.8778   -2.1466   -4.2554   -0.9332    0.2193    0.0350    3.5747    1.0634    2.8092    0.1443    0.1672    1.4084    0.0363    1.0386    0.0743
+#> 365:    92.1830   -5.8782   -2.1466   -4.2558   -0.9332    0.2192    0.0350    3.5771    1.0638    2.8135    0.1443    0.1667    1.4086    0.0363    1.0385    0.0743
+#> 366:    92.1830   -5.8795   -2.1465   -4.2564   -0.9332    0.2190    0.0350    3.5838    1.0645    2.8190    0.1444    0.1661    1.4086    0.0363    1.0390    0.0743
+#> 367:    92.1826   -5.8801   -2.1465   -4.2569   -0.9333    0.2191    0.0349    3.5867    1.0652    2.8232    0.1445    0.1657    1.4086    0.0362    1.0388    0.0744
+#> 368:    92.1824   -5.8799   -2.1465   -4.2571   -0.9333    0.2193    0.0348    3.5859    1.0654    2.8252    0.1445    0.1653    1.4088    0.0362    1.0385    0.0744
+#> 369:    92.1822   -5.8803   -2.1467   -4.2572   -0.9333    0.2193    0.0348    3.5846    1.0653    2.8261    0.1444    0.1648    1.4086    0.0362    1.0393    0.0744
+#> 370:    92.1820   -5.8802   -2.1469   -4.2575   -0.9333    0.2195    0.0348    3.5822    1.0653    2.8273    0.1444    0.1645    1.4088    0.0362    1.0396    0.0744
+#> 371:    92.1818   -5.8806   -2.1470   -4.2575   -0.9333    0.2198    0.0348    3.5819    1.0649    2.8277    0.1443    0.1642    1.4091    0.0362    1.0403    0.0743
+#> 372:    92.1818   -5.8804   -2.1473   -4.2580   -0.9332    0.2202    0.0348    3.5795    1.0645    2.8300    0.1441    0.1640    1.4096    0.0362    1.0418    0.0743
+#> 373:    92.1816   -5.8812   -2.1475   -4.2580   -0.9332    0.2203    0.0348    3.5816    1.0644    2.8298    0.1441    0.1639    1.4100    0.0362    1.0439    0.0741
+#> 374:    92.1815   -5.8817   -2.1477   -4.2578   -0.9333    0.2203    0.0349    3.5819    1.0641    2.8282    0.1440    0.1641    1.4099    0.0362    1.0443    0.0741
+#> 375:    92.1817   -5.8828   -2.1479   -4.2574   -0.9335    0.2204    0.0351    3.5853    1.0636    2.8267    0.1440    0.1642    1.4100    0.0362    1.0457    0.0740
+#> 376:    92.1819   -5.8826   -2.1479   -4.2573   -0.9338    0.2206    0.0353    3.5843    1.0634    2.8246    0.1440    0.1643    1.4100    0.0362    1.0464    0.0740
+#> 377:    92.1819   -5.8826   -2.1480   -4.2572   -0.9339    0.2206    0.0354    3.5819    1.0633    2.8225    0.1440    0.1644    1.4097    0.0363    1.0470    0.0739
+#> 378:    92.1819   -5.8821   -2.1481   -4.2571   -0.9340    0.2205    0.0355    3.5777    1.0633    2.8206    0.1440    0.1644    1.4093    0.0363    1.0468    0.0739
+#> 379:    92.1819   -5.8823   -2.1481   -4.2573   -0.9340    0.2205    0.0356    3.5746    1.0633    2.8201    0.1439    0.1645    1.4092    0.0363    1.0468    0.0739
+#> 380:    92.1820   -5.8809   -2.1481   -4.2570   -0.9340    0.2205    0.0356    3.5665    1.0634    2.8178    0.1439    0.1647    1.4093    0.0363    1.0463    0.0739
+#> 381:    92.1823   -5.8795   -2.1481   -4.2568   -0.9338    0.2204    0.0357    3.5586    1.0635    2.8170    0.1439    0.1648    1.4095    0.0363    1.0456    0.0740
+#> 382:    92.1828   -5.8783   -2.1481   -4.2571   -0.9339    0.2203    0.0357    3.5514    1.0636    2.8183    0.1441    0.1649    1.4093    0.0363    1.0462    0.0740
+#> 383:    92.1827   -5.8773   -2.1480   -4.2569   -0.9340    0.2202    0.0357    3.5459    1.0633    2.8173    0.1441    0.1650    1.4094    0.0363    1.0465    0.0739
+#> 384:    92.1825   -5.8763   -2.1482   -4.2568   -0.9341    0.2202    0.0357    3.5397    1.0636    2.8165    0.1441    0.1650    1.4094    0.0363    1.0467    0.0739
+#> 385:    92.1822   -5.8761   -2.1483   -4.2567   -0.9341    0.2201    0.0357    3.5363    1.0641    2.8160    0.1440    0.1650    1.4094    0.0363    1.0469    0.0739
+#> 386:    92.1820   -5.8763   -2.1485   -4.2567   -0.9342    0.2200    0.0356    3.5365    1.0645    2.8157    0.1441    0.1648    1.4092    0.0364    1.0478    0.0738
+#> 387:    92.1819   -5.8767   -2.1486   -4.2567   -0.9343    0.2201    0.0358    3.5383    1.0652    2.8156    0.1442    0.1646    1.4090    0.0364    1.0480    0.0738
+#> 388:    92.1818   -5.8772   -2.1488   -4.2569   -0.9344    0.2202    0.0359    3.5400    1.0656    2.8153    0.1443    0.1645    1.4086    0.0364    1.0480    0.0738
+#> 389:    92.1816   -5.8765   -2.1489   -4.2569   -0.9344    0.2203    0.0359    3.5369    1.0660    2.8145    0.1443    0.1644    1.4083    0.0364    1.0476    0.0738
+#> 390:    92.1815   -5.8761   -2.1490   -4.2569   -0.9343    0.2205    0.0359    3.5349    1.0664    2.8136    0.1444    0.1644    1.4080    0.0364    1.0472    0.0738
+#> 391:    92.1814   -5.8749   -2.1492   -4.2572   -0.9343    0.2207    0.0359    3.5313    1.0668    2.8153    0.1445    0.1643    1.4077    0.0364    1.0465    0.0739
+#> 392:    92.1812   -5.8733   -2.1494   -4.2571   -0.9344    0.2210    0.0359    3.5248    1.0674    2.8141    0.1445    0.1642    1.4073    0.0364    1.0457    0.0739
+#> 393:    92.1811   -5.8727   -2.1497   -4.2570   -0.9345    0.2212    0.0359    3.5226    1.0679    2.8127    0.1445    0.1642    1.4071    0.0364    1.0457    0.0739
+#> 394:    92.1811   -5.8712   -2.1500   -4.2572   -0.9346    0.2214    0.0360    3.5174    1.0684    2.8132    0.1446    0.1641    1.4067    0.0364    1.0456    0.0739
+#> 395:    92.1810   -5.8714   -2.1501   -4.2579   -0.9348    0.2217    0.0361    3.5182    1.0685    2.8171    0.1445    0.1641    1.4065    0.0364    1.0452    0.0740
+#> 396:    92.1809   -5.8711   -2.1501   -4.2582   -0.9350    0.2220    0.0363    3.5161    1.0681    2.8184    0.1446    0.1639    1.4063    0.0364    1.0447    0.0740
+#> 397:    92.1809   -5.8707   -2.1503   -4.2585   -0.9352    0.2222    0.0363    3.5119    1.0684    2.8197    0.1446    0.1637    1.4065    0.0364    1.0442    0.0740
+#> 398:    92.1808   -5.8703   -2.1503   -4.2591   -0.9354    0.2224    0.0363    3.5084    1.0689    2.8218    0.1447    0.1634    1.4064    0.0364    1.0445    0.0740
+#> 399:    92.1806   -5.8711   -2.1503   -4.2596   -0.9355    0.2226    0.0364    3.5114    1.0691    2.8234    0.1447    0.1629    1.4061    0.0364    1.0447    0.0740
+#> 400:    92.1806   -5.8713   -2.1503   -4.2601   -0.9356    0.2229    0.0366    3.5113    1.0695    2.8253    0.1448    0.1626    1.4059    0.0364    1.0440    0.0740
+#> 401:    92.1804   -5.8709   -2.1503   -4.2604   -0.9357    0.2231    0.0367    3.5089    1.0696    2.8266    0.1448    0.1624    1.4058    0.0364    1.0440    0.0740
+#> 402:    92.1801   -5.8705   -2.1502   -4.2606   -0.9358    0.2232    0.0368    3.5071    1.0695    2.8268    0.1447    0.1621    1.4060    0.0364    1.0447    0.0740
+#> 403:    92.1800   -5.8708   -2.1503   -4.2610   -0.9359    0.2234    0.0369    3.5083    1.0697    2.8271    0.1447    0.1618    1.4056    0.0365    1.0448    0.0739
+#> 404:    92.1798   -5.8709   -2.1505   -4.2612   -0.9360    0.2237    0.0369    3.5085    1.0699    2.8262    0.1447    0.1616    1.4055    0.0365    1.0449    0.0739
+#> 405:    92.1795   -5.8705   -2.1503   -4.2613   -0.9360    0.2239    0.0370    3.5059    1.0698    2.8254    0.1448    0.1615    1.4052    0.0364    1.0449    0.0739
+#> 406:    92.1792   -5.8710   -2.1504   -4.2613   -0.9359    0.2243    0.0371    3.5069    1.0696    2.8244    0.1449    0.1614    1.4049    0.0364    1.0447    0.0739
+#> 407:    92.1788   -5.8718   -2.1505   -4.2614   -0.9359    0.2243    0.0372    3.5092    1.0697    2.8234    0.1449    0.1614    1.4046    0.0364    1.0448    0.0739
+#> 408:    92.1786   -5.8729   -2.1505   -4.2615   -0.9360    0.2245    0.0373    3.5140    1.0699    2.8223    0.1449    0.1612    1.4045    0.0365    1.0455    0.0739
+#> 409:    92.1784   -5.8740   -2.1506   -4.2615   -0.9360    0.2246    0.0373    3.5192    1.0700    2.8213    0.1450    0.1610    1.4042    0.0365    1.0462    0.0738
+#> 410:    92.1782   -5.8753   -2.1505   -4.2616   -0.9361    0.2246    0.0373    3.5248    1.0705    2.8205    0.1450    0.1607    1.4040    0.0365    1.0465    0.0738
+#> 411:    92.1780   -5.8758   -2.1503   -4.2619   -0.9362    0.2247    0.0374    3.5249    1.0707    2.8204    0.1449    0.1605    1.4043    0.0364    1.0467    0.0738
+#> 412:    92.1778   -5.8759   -2.1502   -4.2621   -0.9363    0.2248    0.0374    3.5238    1.0707    2.8209    0.1448    0.1602    1.4045    0.0364    1.0466    0.0738
+#> 413:    92.1779   -5.8759   -2.1501   -4.2623   -0.9364    0.2249    0.0374    3.5225    1.0711    2.8213    0.1448    0.1600    1.4043    0.0364    1.0460    0.0738
+#> 414:    92.1781   -5.8754   -2.1500   -4.2622   -0.9364    0.2250    0.0374    3.5205    1.0710    2.8203    0.1448    0.1599    1.4047    0.0364    1.0456    0.0738
+#> 415:    92.1781   -5.8750   -2.1499   -4.2623   -0.9363    0.2251    0.0374    3.5187    1.0709    2.8190    0.1448    0.1598    1.4050    0.0364    1.0448    0.0738
+#> 416:    92.1783   -5.8747   -2.1500   -4.2624   -0.9363    0.2252    0.0375    3.5216    1.0708    2.8187    0.1448    0.1598    1.4052    0.0364    1.0440    0.0738
+#> 417:    92.1783   -5.8738   -2.1500   -4.2625   -0.9362    0.2252    0.0375    3.5219    1.0712    2.8188    0.1447    0.1597    1.4055    0.0364    1.0438    0.0739
+#> 418:    92.1784   -5.8735   -2.1501   -4.2627   -0.9360    0.2254    0.0375    3.5222    1.0715    2.8193    0.1448    0.1596    1.4057    0.0364    1.0438    0.0739
+#> 419:    92.1784   -5.8725   -2.1501   -4.2629   -0.9358    0.2255    0.0376    3.5190    1.0719    2.8202    0.1447    0.1594    1.4060    0.0364    1.0436    0.0739
+#> 420:    92.1785   -5.8713   -2.1500   -4.2633   -0.9357    0.2256    0.0377    3.5152    1.0723    2.8213    0.1447    0.1592    1.4065    0.0364    1.0439    0.0738
+#> 421:    92.1786   -5.8697   -2.1500   -4.2639   -0.9355    0.2257    0.0377    3.5100    1.0728    2.8232    0.1448    0.1592    1.4068    0.0364    1.0436    0.0739
+#> 422:    92.1787   -5.8683   -2.1502   -4.2645   -0.9352    0.2260    0.0377    3.5051    1.0732    2.8258    0.1448    0.1592    1.4069    0.0364    1.0432    0.0739
+#> 423:    92.1788   -5.8667   -2.1504   -4.2653   -0.9350    0.2262    0.0377    3.4992    1.0736    2.8292    0.1448    0.1592    1.4071    0.0364    1.0435    0.0738
+#> 424:    92.1789   -5.8659   -2.1505   -4.2661   -0.9349    0.2263    0.0378    3.4972    1.0739    2.8324    0.1448    0.1591    1.4069    0.0364    1.0439    0.0738
+#> 425:    92.1788   -5.8649   -2.1505   -4.2669   -0.9349    0.2263    0.0378    3.4947    1.0740    2.8358    0.1448    0.1590    1.4071    0.0364    1.0438    0.0738
+#> 426:    92.1788   -5.8643   -2.1506   -4.2677   -0.9348    0.2265    0.0377    3.4922    1.0743    2.8389    0.1448    0.1589    1.4070    0.0365    1.0437    0.0738
+#> 427:    92.1785   -5.8637   -2.1506   -4.2683   -0.9347    0.2266    0.0378    3.4895    1.0747    2.8425    0.1448    0.1588    1.4068    0.0365    1.0434    0.0738
+#> 428:    92.1783   -5.8627   -2.1507   -4.2689   -0.9347    0.2268    0.0378    3.4870    1.0749    2.8464    0.1447    0.1586    1.4070    0.0365    1.0434    0.0738
+#> 429:    92.1782   -5.8617   -2.1509   -4.2696   -0.9347    0.2271    0.0379    3.4845    1.0752    2.8500    0.1446    0.1584    1.4072    0.0365    1.0439    0.0738
+#> 430:    92.1783   -5.8608   -2.1510   -4.2701   -0.9347    0.2274    0.0379    3.4830    1.0755    2.8526    0.1446    0.1582    1.4075    0.0365    1.0443    0.0738
+#> 431:    92.1784   -5.8606   -2.1511   -4.2704   -0.9348    0.2275    0.0379    3.4825    1.0757    2.8532    0.1446    0.1580    1.4076    0.0365    1.0439    0.0738
+#> 432:    92.1784   -5.8610   -2.1512   -4.2707   -0.9350    0.2275    0.0378    3.4833    1.0761    2.8539    0.1447    0.1578    1.4079    0.0365    1.0443    0.0738
+#> 433:    92.1783   -5.8618   -2.1512   -4.2711   -0.9351    0.2276    0.0378    3.4867    1.0768    2.8554    0.1447    0.1577    1.4078    0.0366    1.0440    0.0738
+#> 434:    92.1784   -5.8612   -2.1513   -4.2714   -0.9350    0.2278    0.0378    3.4858    1.0774    2.8564    0.1448    0.1577    1.4074    0.0365    1.0430    0.0739
+#> 435:    92.1783   -5.8610   -2.1513   -4.2718   -0.9348    0.2279    0.0377    3.4874    1.0779    2.8581    0.1448    0.1576    1.4072    0.0366    1.0423    0.0739
+#> 436:    92.1781   -5.8610   -2.1513   -4.2721   -0.9346    0.2280    0.0376    3.4879    1.0789    2.8598    0.1448    0.1575    1.4070    0.0365    1.0417    0.0739
+#> 437:    92.1781   -5.8610   -2.1511   -4.2726   -0.9345    0.2279    0.0376    3.4886    1.0794    2.8618    0.1449    0.1574    1.4071    0.0365    1.0417    0.0739
+#> 438:    92.1781   -5.8609   -2.1510   -4.2730   -0.9345    0.2280    0.0375    3.4893    1.0797    2.8641    0.1449    0.1573    1.4075    0.0365    1.0420    0.0739
+#> 439:    92.1781   -5.8608   -2.1509   -4.2734   -0.9343    0.2280    0.0374    3.4894    1.0803    2.8659    0.1449    0.1573    1.4076    0.0365    1.0421    0.0739
+#> 440:    92.1780   -5.8603   -2.1510   -4.2737   -0.9343    0.2279    0.0374    3.4885    1.0808    2.8674    0.1448    0.1573    1.4079    0.0365    1.0430    0.0738
+#> 441:    92.1779   -5.8600   -2.1510   -4.2738   -0.9342    0.2279    0.0373    3.4899    1.0811    2.8686    0.1447    0.1574    1.4086    0.0365    1.0445    0.0737
+#> 442:    92.1779   -5.8600   -2.1509   -4.2737   -0.9343    0.2278    0.0372    3.4925    1.0814    2.8691    0.1447    0.1575    1.4088    0.0365    1.0451    0.0737
+#> 443:    92.1780   -5.8598   -2.1509   -4.2739   -0.9341    0.2278    0.0372    3.4949    1.0819    2.8705    0.1447    0.1576    1.4092    0.0365    1.0453    0.0737
+#> 444:    92.1779   -5.8593   -2.1510   -4.2742   -0.9340    0.2277    0.0371    3.4951    1.0824    2.8717    0.1447    0.1576    1.4096    0.0365    1.0455    0.0737
+#> 445:    92.1777   -5.8593   -2.1511   -4.2744   -0.9338    0.2275    0.0371    3.4999    1.0828    2.8729    0.1448    0.1576    1.4100    0.0365    1.0461    0.0736
+#> 446:    92.1774   -5.8600   -2.1511   -4.2748   -0.9338    0.2274    0.0372    3.5051    1.0837    2.8747    0.1449    0.1576    1.4099    0.0365    1.0464    0.0736
+#> 447:    92.1771   -5.8604   -2.1512   -4.2751   -0.9338    0.2273    0.0373    3.5087    1.0844    2.8758    0.1449    0.1575    1.4097    0.0365    1.0467    0.0736
+#> 448:    92.1769   -5.8607   -2.1513   -4.2756   -0.9336    0.2272    0.0374    3.5124    1.0849    2.8778    0.1449    0.1575    1.4098    0.0365    1.0470    0.0735
+#> 449:    92.1768   -5.8611   -2.1515   -4.2759   -0.9337    0.2270    0.0374    3.5165    1.0853    2.8789    0.1449    0.1575    1.4101    0.0365    1.0473    0.0735
+#> 450:    92.1766   -5.8611   -2.1515   -4.2762   -0.9337    0.2269    0.0374    3.5158    1.0859    2.8800    0.1448    0.1576    1.4102    0.0365    1.0474    0.0735
+#> 451:    92.1762   -5.8615   -2.1514   -4.2765   -0.9337    0.2267    0.0374    3.5202    1.0866    2.8812    0.1447    0.1576    1.4104    0.0365    1.0477    0.0735
+#> 452:    92.1761   -5.8622   -2.1514   -4.2767   -0.9337    0.2264    0.0374    3.5232    1.0871    2.8824    0.1447    0.1576    1.4103    0.0365    1.0479    0.0734
+#> 453:    92.1760   -5.8621   -2.1514   -4.2776   -0.9336    0.2261    0.0373    3.5247    1.0878    2.8901    0.1447    0.1576    1.4103    0.0365    1.0480    0.0734
+#> 454:    92.1759   -5.8611   -2.1513   -4.2781   -0.9335    0.2259    0.0373    3.5206    1.0882    2.8939    0.1448    0.1575    1.4104    0.0365    1.0483    0.0734
+#> 455:    92.1758   -5.8599   -2.1513   -4.2788   -0.9336    0.2258    0.0372    3.5151    1.0887    2.9010    0.1448    0.1575    1.4104    0.0365    1.0485    0.0734
+#> 456:    92.1760   -5.8583   -2.1512   -4.2797   -0.9335    0.2258    0.0372    3.5086    1.0892    2.9081    0.1448    0.1574    1.4105    0.0365    1.0483    0.0734
+#> 457:    92.1761   -5.8575   -2.1513   -4.2804   -0.9334    0.2257    0.0371    3.5041    1.0896    2.9144    0.1449    0.1574    1.4103    0.0365    1.0480    0.0733
+#> 458:    92.1763   -5.8569   -2.1512   -4.2813   -0.9334    0.2257    0.0370    3.5014    1.0901    2.9227    0.1449    0.1574    1.4102    0.0365    1.0476    0.0734
+#> 459:    92.1763   -5.8565   -2.1512   -4.2816   -0.9334    0.2256    0.0370    3.4991    1.0908    2.9248    0.1449    0.1573    1.4100    0.0365    1.0471    0.0734
+#> 460:    92.1764   -5.8557   -2.1513   -4.2818   -0.9333    0.2256    0.0370    3.4957    1.0915    2.9258    0.1449    0.1572    1.4097    0.0365    1.0466    0.0734
+#> 461:    92.1765   -5.8550   -2.1515   -4.2822   -0.9333    0.2255    0.0370    3.4923    1.0921    2.9296    0.1449    0.1571    1.4097    0.0365    1.0464    0.0734
+#> 462:    92.1764   -5.8546   -2.1517   -4.2824   -0.9333    0.2256    0.0370    3.4897    1.0925    2.9319    0.1448    0.1569    1.4093    0.0365    1.0463    0.0733
+#> 463:    92.1763   -5.8539   -2.1519   -4.2830   -0.9333    0.2256    0.0369    3.4863    1.0928    2.9373    0.1449    0.1568    1.4093    0.0366    1.0463    0.0733
+#> 464:    92.1763   -5.8532   -2.1520   -4.2833   -0.9333    0.2257    0.0370    3.4825    1.0933    2.9405    0.1448    0.1567    1.4093    0.0366    1.0462    0.0733
+#> 465:    92.1762   -5.8528   -2.1521   -4.2837   -0.9335    0.2257    0.0370    3.4795    1.0938    2.9433    0.1448    0.1567    1.4093    0.0366    1.0464    0.0733
+#> 466:    92.1762   -5.8530   -2.1523   -4.2840   -0.9336    0.2256    0.0370    3.4780    1.0943    2.9462    0.1448    0.1566    1.4089    0.0366    1.0466    0.0733
+#> 467:    92.1764   -5.8529   -2.1524   -4.2846   -0.9337    0.2256    0.0371    3.4751    1.0948    2.9506    0.1447    0.1565    1.4087    0.0366    1.0465    0.0733
+#> 468:    92.1765   -5.8531   -2.1525   -4.2849   -0.9337    0.2255    0.0371    3.4734    1.0952    2.9523    0.1447    0.1563    1.4087    0.0366    1.0465    0.0733
+#> 469:    92.1767   -5.8533   -2.1525   -4.2853   -0.9337    0.2254    0.0372    3.4754    1.0958    2.9540    0.1447    0.1561    1.4090    0.0366    1.0472    0.0733
+#> 470:    92.1767   -5.8536   -2.1525   -4.2858   -0.9338    0.2254    0.0373    3.4780    1.0965    2.9571    0.1448    0.1559    1.4094    0.0366    1.0478    0.0732
+#> 471:    92.1767   -5.8540   -2.1525   -4.2864   -0.9338    0.2254    0.0373    3.4812    1.0970    2.9606    0.1447    0.1558    1.4099    0.0366    1.0482    0.0732
+#> 472:    92.1766   -5.8547   -2.1526   -4.2871   -0.9339    0.2255    0.0373    3.4844    1.0975    2.9645    0.1446    0.1556    1.4101    0.0366    1.0482    0.0732
+#> 473:    92.1764   -5.8549   -2.1527   -4.2875   -0.9339    0.2255    0.0373    3.4848    1.0977    2.9672    0.1446    0.1554    1.4100    0.0366    1.0482    0.0732
+#> 474:    92.1762   -5.8553   -2.1528   -4.2880   -0.9338    0.2256    0.0373    3.4855    1.0979    2.9700    0.1445    0.1552    1.4104    0.0366    1.0484    0.0732
+#> 475:    92.1763   -5.8561   -2.1530   -4.2884   -0.9338    0.2256    0.0374    3.4885    1.0981    2.9726    0.1445    0.1549    1.4103    0.0366    1.0484    0.0731
+#> 476:    92.1763   -5.8564   -2.1530   -4.2885   -0.9339    0.2258    0.0374    3.4914    1.0983    2.9734    0.1444    0.1548    1.4106    0.0366    1.0484    0.0731
+#> 477:    92.1763   -5.8565   -2.1531   -4.2888   -0.9340    0.2259    0.0373    3.4941    1.0985    2.9755    0.1443    0.1546    1.4108    0.0366    1.0487    0.0731
+#> 478:    92.1763   -5.8576   -2.1532   -4.2889   -0.9340    0.2258    0.0373    3.4995    1.0987    2.9772    0.1442    0.1544    1.4111    0.0366    1.0490    0.0731
+#> 479:    92.1765   -5.8593   -2.1533   -4.2890   -0.9342    0.2259    0.0372    3.5086    1.0990    2.9787    0.1442    0.1544    1.4113    0.0366    1.0495    0.0731
+#> 480:    92.1766   -5.8613   -2.1535   -4.2892   -0.9342    0.2260    0.0372    3.5233    1.0991    2.9800    0.1442    0.1543    1.4116    0.0367    1.0496    0.0730
+#> 481:    92.1768   -5.8624   -2.1536   -4.2894   -0.9341    0.2260    0.0371    3.5309    1.0993    2.9820    0.1442    0.1542    1.4117    0.0367    1.0497    0.0730
+#> 482:    92.1766   -5.8634   -2.1537   -4.2896   -0.9341    0.2260    0.0371    3.5393    1.0995    2.9833    0.1443    0.1542    1.4116    0.0367    1.0496    0.0730
+#> 483:    92.1762   -5.8645   -2.1538   -4.2896   -0.9340    0.2260    0.0372    3.5472    1.0997    2.9840    0.1443    0.1542    1.4115    0.0367    1.0498    0.0730
+#> 484:    92.1757   -5.8648   -2.1538   -4.2896   -0.9340    0.2261    0.0373    3.5508    1.0998    2.9843    0.1445    0.1542    1.4115    0.0366    1.0498    0.0730
+#> 485:    92.1752   -5.8648   -2.1539   -4.2896   -0.9340    0.2262    0.0374    3.5516    1.1000    2.9846    0.1445    0.1542    1.4115    0.0366    1.0497    0.0730
+#> 486:    92.1747   -5.8649   -2.1539   -4.2897   -0.9340    0.2262    0.0375    3.5517    1.1003    2.9856    0.1446    0.1541    1.4113    0.0366    1.0498    0.0730
+#> 487:    92.1743   -5.8649   -2.1539   -4.2896   -0.9340    0.2262    0.0376    3.5502    1.1006    2.9856    0.1447    0.1539    1.4110    0.0367    1.0498    0.0730
+#> 488:    92.1739   -5.8645   -2.1540   -4.2893   -0.9340    0.2261    0.0377    3.5475    1.1008    2.9848    0.1447    0.1537    1.4106    0.0367    1.0497    0.0729
+#> 489:    92.1736   -5.8640   -2.1539   -4.2892   -0.9340    0.2260    0.0376    3.5445    1.1011    2.9844    0.1448    0.1536    1.4105    0.0367    1.0496    0.0729
+#> 490:    92.1736   -5.8631   -2.1539   -4.2889   -0.9340    0.2260    0.0376    3.5402    1.1014    2.9835    0.1448    0.1534    1.4103    0.0366    1.0496    0.0729
+#> 491:    92.1735   -5.8617   -2.1539   -4.2887   -0.9339    0.2260    0.0375    3.5343    1.1016    2.9825    0.1449    0.1532    1.4103    0.0366    1.0497    0.0729
+#> 492:    92.1736   -5.8609   -2.1539   -4.2884   -0.9339    0.2259    0.0375    3.5298    1.1017    2.9816    0.1449    0.1530    1.4101    0.0367    1.0499    0.0729
+#> 493:    92.1737   -5.8605   -2.1539   -4.2882   -0.9339    0.2260    0.0375    3.5266    1.1018    2.9807    0.1450    0.1529    1.4098    0.0367    1.0496    0.0729
+#> 494:    92.1739   -5.8609   -2.1539   -4.2881   -0.9340    0.2261    0.0375    3.5273    1.1018    2.9802    0.1450    0.1528    1.4097    0.0367    1.0495    0.0729
+#> 495:    92.1741   -5.8614   -2.1540   -4.2880   -0.9340    0.2262    0.0376    3.5290    1.1019    2.9797    0.1450    0.1526    1.4096    0.0367    1.0492    0.0729
+#> 496:    92.1742   -5.8623   -2.1540   -4.2879   -0.9341    0.2262    0.0376    3.5348    1.1020    2.9791    0.1449    0.1525    1.4096    0.0367    1.0491    0.0729
+#> 497:    92.1742   -5.8634   -2.1541   -4.2879   -0.9341    0.2264    0.0377    3.5402    1.1020    2.9789    0.1449    0.1524    1.4097    0.0367    1.0493    0.0729
+#> 498:    92.1744   -5.8637   -2.1543   -4.2879   -0.9341    0.2266    0.0377    3.5406    1.1019    2.9787    0.1449    0.1524    1.4096    0.0367    1.0496    0.0729
+#> 499:    92.1744   -5.8635   -2.1544   -4.2880   -0.9341    0.2268    0.0376    3.5400    1.1019    2.9789    0.1450    0.1523    1.4095    0.0367    1.0500    0.0728
+#> 500:    92.1744   -5.8628   -2.1545   -4.2882   -0.9341    0.2270    0.0377    3.5381    1.1020    2.9795    0.1450    0.1522    1.4096    0.0367    1.0503    0.0728
+#> Calculating covariance matrix
+#> 
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> Needed Covariates:
+#> [1] "CMT"
+#> Calculating residuals/tables
+#> done
+f_nlmixr_dfop_sfo_focei_obs_tc <- nlmixr(f_mmkin_tc["DFOP-SFO", ], est = "focei",
+  error_model = "obs_tc")
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → calculate jacobian
+#> 
+#> → calculate sensitivities
+#> 
+#> → calculate ∂(f)/∂(η)
+#> 
+#> → calculate ∂(R²)/∂(η)
+#> 
+#> → finding duplicate expressions in inner model...
+#> 
+#> → optimizing duplicate expressions in inner model...
+#> 
+#> → finding duplicate expressions in EBE model...
+#> 
+#> → optimizing duplicate expressions in EBE model...
+#> 
+#> → compiling inner model...
+#>  
+#> ✔ done
+#> → finding duplicate expressions in FD model...
+#> 
+#> → optimizing duplicate expressions in FD model...
+#> 
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> → compiling events FD model...
+#>  
+#> ✔ done
+#> Needed Covariates:
+#> [1] "CMT"
+#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
+#> F: Forward difference gradient approximation
+#> C: Central difference gradient approximation
+#> M: Mixed forward and central difference gradient approximation
+#> Unscaled parameters for Omegas=chol(solve(omega));
+#> Diagonals are transformed, as specified by foceiControl(diagXform=)
+#> |-----+---------------+-----------+-----------+-----------+-----------|
+#> |    #| Objective Fun |  parent_0 |  log_k_A1 |f_parent_qlogis |    log_k1 |
+#> |.....................|    log_k2 |  g_qlogis |sigma_low_parent |rsd_high_parent |
+#> |.....................|sigma_low_A1 |rsd_high_A1 |        o1 |        o2 |
+#> |.....................|        o3 |        o4 |        o5 |        o6 |
+#> |    1|     495.48573 |     1.000 |    -1.000 |   -0.9104 |   -0.9376 |
+#> |.....................|   -0.9875 |   -0.8823 |   -0.8746 |   -0.8907 |
+#> |.....................|   -0.8746 |   -0.8907 |   -0.8767 |   -0.8731 |
+#> |.....................|   -0.8673 |   -0.8720 |   -0.8739 |   -0.8666 |
+#> |    U|     495.48573 |     91.00 |    -5.200 |   -0.8900 |    -2.200 |
+#> |.....................|    -4.600 |    0.4600 |    0.8300 |   0.05800 |
+#> |.....................|    0.8300 |   0.05800 |    0.7311 |    0.9036 |
+#> |.....................|     1.183 |    0.9554 |    0.8633 |     1.214 |
+#> |    X|     495.48573 |     91.00 |  0.005517 |    0.2911 |    0.1108 |
+#> |.....................|   0.01005 |    0.6130 |    0.8300 |   0.05800 |
+#> |.....................|    0.8300 |   0.05800 |    0.7311 |    0.9036 |
+#> |.....................|     1.183 |    0.9554 |    0.8633 |     1.214 |
+#> |    G|    Gill Diff. |   -0.9648 |     2.223 |   -0.3153 |  -0.01817 |
+#> |.....................|   -0.3350 |    0.6789 |    -23.42 |    -17.64 |
+#> |.....................|    -5.440 |    -1.950 |    0.9642 |     9.851 |
+#> |.....................|    -11.94 |    -1.319 |     8.578 |    -12.45 |
+#> |    2|     481.75012 |     1.026 |    -1.060 |   -0.9019 |   -0.9371 |
+#> |.....................|   -0.9785 |   -0.9007 |   -0.2420 |   -0.4142 |
+#> |.....................|   -0.7277 |   -0.8380 |   -0.9027 |    -1.139 |
+#> |.....................|   -0.5448 |   -0.8364 |    -1.106 |   -0.5303 |
+#> |    U|     481.75012 |     93.37 |    -5.260 |   -0.8824 |    -2.200 |
+#> |.....................|    -4.591 |    0.4516 |     1.093 |   0.07182 |
+#> |.....................|    0.8910 |   0.05953 |    0.7121 |    0.6631 |
+#> |.....................|     1.565 |    0.9895 |    0.6633 |     1.623 |
+#> |    X|     481.75012 |     93.37 |  0.005195 |    0.2927 |    0.1109 |
+#> |.....................|   0.01014 |    0.6110 |     1.093 |   0.07182 |
+#> |.....................|    0.8910 |   0.05953 |    0.7121 |    0.6631 |
+#> |.....................|     1.565 |    0.9895 |    0.6633 |     1.623 |
+#> |    F| Forward Diff. |     152.5 |     1.317 |     3.315 |   -0.1772 |
+#> |.....................|    0.3391 |    0.1426 |    -4.513 |     6.696 |
+#> |.....................|     1.211 |    0.7988 |    0.6299 |    -5.324 |
+#> |.....................|  0.009964 |     3.044 |    -5.727 |    -6.694 |
+#> |    3|     3004.9713 |    0.2745 |    -1.093 |   -0.9147 |   -0.9360 |
+#> |.....................|   -0.9762 |   -0.9095 |   0.05941 |   -0.2377 |
+#> |.....................|   -0.6690 |   -0.8188 |   -0.9174 |    -1.204 |
+#> |.....................|   -0.4027 |   -0.8359 |    -1.205 |   -0.3486 |
+#> |    U|     3004.9713 |     24.98 |    -5.293 |   -0.8938 |    -2.198 |
+#> |.....................|    -4.589 |    0.4475 |     1.218 |   0.07694 |
+#> |.....................|    0.9154 |   0.06008 |    0.7014 |    0.6043 |
+#> |.....................|     1.733 |    0.9899 |    0.5774 |     1.843 |
+#> |    X|     3004.9713 |     24.98 |  0.005026 |    0.2903 |    0.1110 |
+#> |.....................|   0.01017 |    0.6100 |     1.218 |   0.07694 |
+#> |.....................|    0.9154 |   0.06008 |    0.7014 |    0.6043 |
+#> |.....................|     1.733 |    0.9899 |    0.5774 |     1.843 |
+#> |    4|     491.68825 |    0.9393 |    -1.061 |   -0.9038 |   -0.9370 |
+#> |.....................|   -0.9787 |   -0.9008 |   -0.2394 |   -0.4180 |
+#> |.....................|   -0.7284 |   -0.8385 |   -0.9031 |    -1.136 |
+#> |.....................|   -0.5448 |   -0.8381 |    -1.102 |   -0.5265 |
+#> |    U|     491.68825 |     85.47 |    -5.261 |   -0.8841 |    -2.199 |
+#> |.....................|    -4.591 |    0.4515 |     1.094 |   0.07171 |
+#> |.....................|    0.8907 |   0.05951 |    0.7118 |    0.6659 |
+#> |.....................|     1.565 |    0.9878 |    0.6661 |     1.627 |
+#> |    X|     491.68825 |     85.47 |  0.005191 |    0.2923 |    0.1109 |
+#> |.....................|   0.01014 |    0.6110 |     1.094 |   0.07171 |
+#> |.....................|    0.8907 |   0.05951 |    0.7118 |    0.6659 |
+#> |.....................|     1.565 |    0.9878 |    0.6661 |     1.627 |
+#> |    5|     479.72282 |     1.001 |    -1.060 |   -0.9024 |   -0.9371 |
+#> |.....................|   -0.9785 |   -0.9007 |   -0.2413 |   -0.4153 |
+#> |.....................|   -0.7279 |   -0.8381 |   -0.9028 |    -1.138 |
+#> |.....................|   -0.5448 |   -0.8369 |    -1.105 |   -0.5292 |
+#> |    U|     479.72282 |     91.11 |    -5.260 |   -0.8829 |    -2.199 |
+#> |.....................|    -4.591 |    0.4516 |     1.093 |   0.07179 |
+#> |.....................|    0.8909 |   0.05952 |    0.7120 |    0.6639 |
+#> |.....................|     1.565 |    0.9890 |    0.6641 |     1.624 |
+#> |    X|     479.72282 |     91.11 |  0.005194 |    0.2926 |    0.1109 |
+#> |.....................|   0.01014 |    0.6110 |     1.093 |   0.07179 |
+#> |.....................|    0.8909 |   0.05952 |    0.7120 |    0.6639 |
+#> |.....................|     1.565 |    0.9890 |    0.6641 |     1.624 |
+#> |    F| Forward Diff. |     6.589 |     1.222 |    0.9137 |    0.1103 |
+#> |.....................|    0.3993 |    0.5206 |    -3.904 |     6.654 |
+#> |.....................|    0.9090 |     1.134 |    -1.839 |    -6.108 |
+#> |.....................|     1.622 |     4.007 |    -4.921 |    -6.374 |
+#> |    6|     479.56384 |    0.9950 |    -1.061 |   -0.9037 |   -0.9373 |
+#> |.....................|   -0.9792 |   -0.9012 |   -0.2438 |   -0.4298 |
+#> |.....................|   -0.7309 |   -0.8403 |   -0.9001 |    -1.126 |
+#> |.....................|   -0.5509 |   -0.8426 |    -1.095 |   -0.5241 |
+#> |    U|     479.56384 |     90.55 |    -5.261 |   -0.8840 |    -2.200 |
+#> |.....................|    -4.592 |    0.4513 |     1.092 |   0.07137 |
+#> |.....................|    0.8897 |   0.05946 |    0.7140 |    0.6748 |
+#> |.....................|     1.558 |    0.9836 |    0.6729 |     1.630 |
+#> |    X|     479.56384 |     90.55 |  0.005189 |    0.2923 |    0.1108 |
+#> |.....................|   0.01014 |    0.6110 |     1.092 |   0.07137 |
+#> |.....................|    0.8897 |   0.05946 |    0.7140 |    0.6748 |
+#> |.....................|     1.558 |    0.9836 |    0.6729 |     1.630 |
+#> |    F| Forward Diff. |    -31.71 |     1.225 |    0.1963 |    0.1681 |
+#> |.....................|    0.4113 |    0.6853 |    -4.208 |     6.141 |
+#> |.....................|    0.7033 |     1.163 |    -2.029 |    -4.071 |
+#> |.....................|    -1.106 |     3.494 |    -3.921 |    -6.098 |
+#> |    7|     479.23599 |     1.003 |    -1.063 |   -0.9048 |   -0.9375 |
+#> |.....................|   -0.9799 |   -0.9023 |   -0.2352 |   -0.4403 |
+#> |.....................|   -0.7320 |   -0.8422 |   -0.8974 |    -1.117 |
+#> |.....................|   -0.5472 |   -0.8484 |    -1.086 |   -0.5115 |
+#> |    U|     479.23599 |     91.29 |    -5.263 |   -0.8850 |    -2.200 |
+#> |.....................|    -4.592 |    0.4508 |     1.095 |   0.07106 |
+#> |.....................|    0.8892 |   0.05941 |    0.7160 |    0.6828 |
+#> |.....................|     1.562 |    0.9781 |    0.6800 |     1.645 |
+#> |    X|     479.23599 |     91.29 |  0.005177 |    0.2921 |    0.1108 |
+#> |.....................|   0.01013 |    0.6108 |     1.095 |   0.07106 |
+#> |.....................|    0.8892 |   0.05941 |    0.7160 |    0.6828 |
+#> |.....................|     1.562 |    0.9781 |    0.6800 |     1.645 |
+#> |    F| Forward Diff. |     18.36 |     1.286 |    0.8956 |   0.06941 |
+#> |.....................|    0.3942 |    0.6495 |    -3.460 |     6.349 |
+#> |.....................|    0.7828 |    0.9998 |    -1.947 |    -2.931 |
+#> |.....................|    0.1591 |     2.144 |    -3.375 |    -5.909 |
+#> |    8|     479.05200 |    0.9982 |    -1.066 |   -0.9056 |   -0.9376 |
+#> |.....................|   -0.9803 |   -0.9037 |   -0.2181 |   -0.4407 |
+#> |.....................|   -0.7304 |   -0.8427 |   -0.8951 |    -1.119 |
+#> |.....................|   -0.5384 |   -0.8504 |    -1.087 |   -0.4972 |
+#> |    U|       479.052 |     90.84 |    -5.266 |   -0.8857 |    -2.200 |
+#> |.....................|    -4.593 |    0.4502 |     1.102 |   0.07105 |
+#> |.....................|    0.8899 |   0.05939 |    0.7177 |    0.6818 |
+#> |.....................|     1.572 |    0.9761 |    0.6797 |     1.663 |
+#> |    X|       479.052 |     90.84 |  0.005162 |    0.2920 |    0.1108 |
+#> |.....................|   0.01012 |    0.6107 |     1.102 |   0.07105 |
+#> |.....................|    0.8899 |   0.05939 |    0.7177 |    0.6818 |
+#> |.....................|     1.572 |    0.9761 |    0.6797 |     1.663 |
+#> |    9|     478.91507 |    0.9977 |    -1.070 |   -0.9061 |   -0.9377 |
+#> |.....................|   -0.9807 |   -0.9051 |   -0.2002 |   -0.4395 |
+#> |.....................|   -0.7284 |   -0.8431 |   -0.8930 |    -1.121 |
+#> |.....................|   -0.5287 |   -0.8520 |    -1.088 |   -0.4828 |
+#> |    U|     478.91507 |     90.79 |    -5.270 |   -0.8862 |    -2.200 |
+#> |.....................|    -4.593 |    0.4495 |     1.110 |   0.07109 |
+#> |.....................|    0.8907 |   0.05938 |    0.7192 |    0.6799 |
+#> |.....................|     1.584 |    0.9745 |    0.6785 |     1.680 |
+#> |    X|     478.91507 |     90.79 |  0.005146 |    0.2919 |    0.1108 |
+#> |.....................|   0.01012 |    0.6105 |     1.110 |   0.07109 |
+#> |.....................|    0.8907 |   0.05938 |    0.7192 |    0.6799 |
+#> |.....................|     1.584 |    0.9745 |    0.6785 |     1.680 |
+#> |   10|     478.54700 |    0.9959 |    -1.080 |   -0.9081 |   -0.9381 |
+#> |.....................|   -0.9820 |   -0.9099 |   -0.1391 |   -0.4353 |
+#> |.....................|   -0.7215 |   -0.8442 |   -0.8862 |    -1.128 |
+#> |.....................|   -0.4957 |   -0.8577 |    -1.093 |   -0.4342 |
+#> |    U|       478.547 |     90.63 |    -5.280 |   -0.8880 |    -2.200 |
+#> |.....................|    -4.594 |    0.4473 |     1.135 |   0.07121 |
+#> |.....................|    0.8936 |   0.05935 |    0.7242 |    0.6734 |
+#> |.....................|     1.623 |    0.9691 |    0.6746 |     1.739 |
+#> |    X|       478.547 |     90.63 |  0.005094 |    0.2915 |    0.1108 |
+#> |.....................|   0.01011 |    0.6100 |     1.135 |   0.07121 |
+#> |.....................|    0.8936 |   0.05935 |    0.7242 |    0.6734 |
+#> |.....................|     1.623 |    0.9691 |    0.6746 |     1.739 |
+#> |   11|     478.24707 |    0.9926 |    -1.098 |   -0.9118 |   -0.9388 |
+#> |.....................|   -0.9843 |   -0.9186 |  -0.02735 |   -0.4276 |
+#> |.....................|   -0.7088 |   -0.8464 |   -0.8736 |    -1.141 |
+#> |.....................|   -0.4354 |   -0.8680 |    -1.101 |   -0.3451 |
+#> |    U|     478.24707 |     90.33 |    -5.298 |   -0.8913 |    -2.201 |
+#> |.....................|    -4.597 |    0.4433 |     1.182 |   0.07143 |
+#> |.....................|    0.8988 |   0.05929 |    0.7334 |    0.6616 |
+#> |.....................|     1.694 |    0.9593 |    0.6674 |     1.848 |
+#> |    X|     478.24707 |     90.33 |  0.004999 |    0.2909 |    0.1107 |
+#> |.....................|   0.01008 |    0.6090 |     1.182 |   0.07143 |
+#> |.....................|    0.8988 |   0.05929 |    0.7334 |    0.6616 |
+#> |.....................|     1.694 |    0.9593 |    0.6674 |     1.848 |
+#> |    F| Forward Diff. |    -54.86 |     1.159 |   -0.2545 |    0.1198 |
+#> |.....................|    0.4779 |     1.320 |    -1.627 |     7.719 |
+#> |.....................|     1.488 |     1.194 |    -2.008 |    -4.434 |
+#> |.....................|     3.563 |    0.8010 |    -2.393 |    -3.495 |
+#> |   12|     475.90466 |     1.002 |    -1.127 |   -0.9233 |   -0.9398 |
+#> |.....................|   -0.9978 |   -0.9482 |  -0.05448 |   -0.6822 |
+#> |.....................|   -0.7579 |   -0.8801 |   -0.8190 |    -1.095 |
+#> |.....................|   -0.4550 |   -0.8498 |    -1.031 |   -0.2699 |
+#> |    U|     475.90466 |     91.18 |    -5.327 |   -0.9014 |    -2.202 |
+#> |.....................|    -4.610 |    0.4297 |     1.170 |   0.06405 |
+#> |.....................|    0.8785 |   0.05831 |    0.7733 |    0.7032 |
+#> |.....................|     1.671 |    0.9767 |    0.7277 |     1.939 |
+#> |    X|     475.90466 |     91.18 |  0.004860 |    0.2888 |    0.1106 |
+#> |.....................|  0.009950 |    0.6058 |     1.170 |   0.06405 |
+#> |.....................|    0.8785 |   0.05831 |    0.7733 |    0.7032 |
+#> |.....................|     1.671 |    0.9767 |    0.7277 |     1.939 |
+#> |    F| Forward Diff. |    -5.773 |     1.281 |   0.05418 |  -0.06269 |
+#> |.....................|    0.4104 |     1.812 |    -4.981 |     3.640 |
+#> |.....................|  -0.08126 |   0.09477 |    -1.092 |    -2.966 |
+#> |.....................|     5.262 |     2.712 |     3.245 |    -2.012 |
+#> |   13|     477.06760 |     1.030 |    -1.176 |   -0.9281 |   -0.9377 |
+#> |.....................|    -1.013 |    -1.011 |   0.09564 |   -0.8420 |
+#> |.....................|   -0.7668 |   -0.8907 |   -0.7738 |    -1.073 |
+#> |.....................|   -0.5619 |   -0.8693 |    -1.126 |   -0.1773 |
+#> |    U|      477.0676 |     93.71 |    -5.376 |   -0.9057 |    -2.200 |
+#> |.....................|    -4.625 |    0.4008 |     1.233 |   0.05941 |
+#> |.....................|    0.8748 |   0.05800 |    0.8064 |    0.7234 |
+#> |.....................|     1.545 |    0.9581 |    0.6461 |     2.051 |
+#> |    X|      477.0676 |     93.71 |  0.004627 |    0.2879 |    0.1108 |
+#> |.....................|  0.009799 |    0.5989 |     1.233 |   0.05941 |
+#> |.....................|    0.8748 |   0.05800 |    0.8064 |    0.7234 |
+#> |.....................|     1.545 |    0.9581 |    0.6461 |     2.051 |
+#> |   14|     477.20174 |     1.026 |    -1.143 |   -0.9246 |   -0.9391 |
+#> |.....................|    -1.003 |   -0.9695 | -0.001726 |   -0.7335 |
+#> |.....................|   -0.7599 |   -0.8831 |   -0.8043 |    -1.080 |
+#> |.....................|   -0.4976 |   -0.8627 |    -1.065 |   -0.2404 |
+#> |    U|     477.20174 |     93.37 |    -5.343 |   -0.9027 |    -2.201 |
+#> |.....................|    -4.615 |    0.4199 |     1.192 |   0.06256 |
+#> |.....................|    0.8776 |   0.05822 |    0.7840 |    0.7162 |
+#> |.....................|     1.621 |    0.9644 |    0.6988 |     1.975 |
+#> |    X|     477.20174 |     93.37 |  0.004782 |    0.2885 |    0.1106 |
+#> |.....................|  0.009899 |    0.6035 |     1.192 |   0.06256 |
+#> |.....................|    0.8776 |   0.05822 |    0.7840 |    0.7162 |
+#> |.....................|     1.621 |    0.9644 |    0.6988 |     1.975 |
+#> |   15|     476.22973 |     1.014 |    -1.129 |   -0.9234 |   -0.9397 |
+#> |.....................|   -0.9986 |   -0.9521 |  -0.04396 |   -0.6899 |
+#> |.....................|   -0.7577 |   -0.8803 |   -0.8167 |    -1.089 |
+#> |.....................|   -0.4661 |   -0.8555 |    -1.038 |   -0.2656 |
+#> |    U|     476.22973 |     92.29 |    -5.329 |   -0.9015 |    -2.202 |
+#> |.....................|    -4.611 |    0.4279 |     1.175 |   0.06382 |
+#> |.....................|    0.8785 |   0.05830 |    0.7750 |    0.7089 |
+#> |.....................|     1.658 |    0.9712 |    0.7218 |     1.944 |
+#> |    X|     476.22973 |     92.29 |  0.004847 |    0.2887 |    0.1106 |
+#> |.....................|  0.009941 |    0.6054 |     1.175 |   0.06382 |
+#> |.....................|    0.8785 |   0.05830 |    0.7750 |    0.7089 |
+#> |.....................|     1.658 |    0.9712 |    0.7218 |     1.944 |
+#> |   16|     475.87776 |     1.005 |    -1.127 |   -0.9233 |   -0.9398 |
+#> |.....................|   -0.9980 |   -0.9491 |  -0.05201 |   -0.6840 |
+#> |.....................|   -0.7578 |   -0.8802 |   -0.8184 |    -1.093 |
+#> |.....................|   -0.4576 |   -0.8511 |    -1.033 |   -0.2689 |
+#> |    U|     475.87776 |     91.44 |    -5.327 |   -0.9015 |    -2.202 |
+#> |.....................|    -4.610 |    0.4293 |     1.171 |   0.06399 |
+#> |.....................|    0.8785 |   0.05830 |    0.7737 |    0.7045 |
+#> |.....................|     1.668 |    0.9754 |    0.7263 |     1.940 |
+#> |    X|     475.87776 |     91.44 |  0.004857 |    0.2887 |    0.1106 |
+#> |.....................|  0.009948 |    0.6057 |     1.171 |   0.06399 |
+#> |.....................|    0.8785 |   0.05830 |    0.7737 |    0.7045 |
+#> |.....................|     1.668 |    0.9754 |    0.7263 |     1.940 |
+#> |    F| Forward Diff. |     16.12 |     1.298 |    0.4116 |  -0.09723 |
+#> |.....................|    0.4002 |     1.728 |    -4.991 |     3.781 |
+#> |.....................|  -0.06392 |   0.04117 |    -1.251 |   -0.6787 |
+#> |.....................|     5.079 |     2.620 |     3.013 |    -2.074 |
+#> |   17|     475.82399 |     1.002 |    -1.128 |   -0.9234 |   -0.9397 |
+#> |.....................|   -0.9982 |   -0.9501 |  -0.04950 |   -0.6866 |
+#> |.....................|   -0.7580 |   -0.8803 |   -0.8177 |    -1.093 |
+#> |.....................|   -0.4596 |   -0.8518 |    -1.034 |   -0.2675 |
+#> |    U|     475.82399 |     91.17 |    -5.328 |   -0.9016 |    -2.202 |
+#> |.....................|    -4.611 |    0.4288 |     1.172 |   0.06392 |
+#> |.....................|    0.8784 |   0.05830 |    0.7743 |    0.7045 |
+#> |.....................|     1.666 |    0.9748 |    0.7251 |     1.942 |
+#> |    X|     475.82399 |     91.17 |  0.004853 |    0.2887 |    0.1106 |
+#> |.....................|  0.009945 |    0.6056 |     1.172 |   0.06392 |
+#> |.....................|    0.8784 |   0.05830 |    0.7743 |    0.7045 |
+#> |.....................|     1.666 |    0.9748 |    0.7251 |     1.942 |
+#> |    F| Forward Diff. |    -7.267 |     1.279 |  0.007095 |  -0.05940 |
+#> |.....................|    0.4115 |     1.783 |    -5.114 |     3.652 |
+#> |.....................|   -0.1068 |    0.1083 |    -1.295 |   -0.9578 |
+#> |.....................|     2.682 |     2.514 |     3.014 |    -2.035 |
+#> |   18|     475.78862 |     1.005 |    -1.129 |   -0.9235 |   -0.9397 |
+#> |.....................|   -0.9985 |   -0.9512 |  -0.04657 |   -0.6892 |
+#> |.....................|   -0.7580 |   -0.8804 |   -0.8168 |    -1.093 |
+#> |.....................|   -0.4611 |   -0.8527 |    -1.036 |   -0.2661 |
+#> |    U|     475.78862 |     91.41 |    -5.329 |   -0.9016 |    -2.202 |
+#> |.....................|    -4.611 |    0.4283 |     1.174 |   0.06384 |
+#> |.....................|    0.8784 |   0.05830 |    0.7749 |    0.7045 |
+#> |.....................|     1.664 |    0.9739 |    0.7236 |     1.943 |
+#> |    X|     475.78862 |     91.41 |  0.004849 |    0.2887 |    0.1106 |
+#> |.....................|  0.009942 |    0.6055 |     1.174 |   0.06384 |
+#> |.....................|    0.8784 |   0.05830 |    0.7749 |    0.7045 |
+#> |.....................|     1.664 |    0.9739 |    0.7236 |     1.943 |
+#> |    F| Forward Diff. |     13.19 |     1.292 |    0.3498 |  -0.09321 |
+#> |.....................|    0.4023 |     1.703 |    -5.372 |     3.699 |
+#> |.....................|   -0.1234 |   0.05429 |    -1.241 |   -0.7588 |
+#> |.....................|     4.815 |     2.436 |     2.783 |    -2.083 |
+#> |   19|     475.73531 |     1.002 |    -1.130 |   -0.9236 |   -0.9397 |
+#> |.....................|   -0.9987 |   -0.9524 |  -0.04361 |   -0.6921 |
+#> |.....................|   -0.7582 |   -0.8806 |   -0.8159 |    -1.094 |
+#> |.....................|   -0.4630 |   -0.8531 |    -1.037 |   -0.2646 |
+#> |    U|     475.73531 |     91.21 |    -5.330 |   -0.9018 |    -2.202 |
+#> |.....................|    -4.611 |    0.4278 |     1.175 |   0.06376 |
+#> |.....................|    0.8783 |   0.05829 |    0.7756 |    0.7041 |
+#> |.....................|     1.662 |    0.9735 |    0.7222 |     1.945 |
+#> |    X|     475.73531 |     91.21 |  0.004845 |    0.2887 |    0.1106 |
+#> |.....................|  0.009940 |    0.6053 |     1.175 |   0.06376 |
+#> |.....................|    0.8783 |   0.05829 |    0.7756 |    0.7041 |
+#> |.....................|     1.662 |    0.9735 |    0.7222 |     1.945 |
+#> |    F| Forward Diff. |    -3.312 |     1.277 |   0.06663 |  -0.06695 |
+#> |.....................|    0.4102 |     1.736 |    -5.095 |     3.555 |
+#> |.....................|  -0.08175 |   0.08515 |    -1.253 |   -0.9364 |
+#> |.....................|     4.836 |     2.452 |     2.739 |    -2.058 |
+#> |   20|     475.69941 |     1.004 |    -1.131 |   -0.9237 |   -0.9396 |
+#> |.....................|   -0.9990 |   -0.9534 |  -0.04063 |   -0.6942 |
+#> |.....................|   -0.7581 |   -0.8807 |   -0.8151 |    -1.093 |
+#> |.....................|   -0.4658 |   -0.8545 |    -1.039 |   -0.2634 |
+#> |    U|     475.69941 |     91.39 |    -5.331 |   -0.9018 |    -2.202 |
+#> |.....................|    -4.611 |    0.4273 |     1.176 |   0.06370 |
+#> |.....................|    0.8783 |   0.05829 |    0.7761 |    0.7046 |
+#> |.....................|     1.658 |    0.9722 |    0.7208 |     1.947 |
+#> |    X|     475.69941 |     91.39 |  0.004841 |    0.2887 |    0.1106 |
+#> |.....................|  0.009937 |    0.6052 |     1.176 |   0.06370 |
+#> |.....................|    0.8783 |   0.05829 |    0.7761 |    0.7046 |
+#> |.....................|     1.658 |    0.9722 |    0.7208 |     1.947 |
+#> |    F| Forward Diff. |     11.57 |     1.287 |    0.3079 |  -0.08979 |
+#> |.....................|    0.4039 |     1.674 |    -5.153 |     3.653 |
+#> |.....................|  -0.06063 |   0.04440 |    -1.200 |   -0.7646 |
+#> |.....................|     2.452 |     2.339 |     2.552 |    -2.095 |
+#> |   21|     475.66307 |     1.001 |    -1.131 |   -0.9238 |   -0.9396 |
+#> |.....................|   -0.9992 |   -0.9545 |  -0.03780 |   -0.6969 |
+#> |.....................|   -0.7583 |   -0.8808 |   -0.8143 |    -1.094 |
+#> |.....................|   -0.4671 |   -0.8550 |    -1.041 |   -0.2620 |
+#> |    U|     475.66307 |     91.11 |    -5.331 |   -0.9019 |    -2.202 |
+#> |.....................|    -4.612 |    0.4268 |     1.177 |   0.06362 |
+#> |.....................|    0.8783 |   0.05829 |    0.7767 |    0.7044 |
+#> |.....................|     1.657 |    0.9717 |    0.7195 |     1.948 |
+#> |    X|     475.66307 |     91.11 |  0.004837 |    0.2887 |    0.1106 |
+#> |.....................|  0.009935 |    0.6051 |     1.177 |   0.06362 |
+#> |.....................|    0.8783 |   0.05829 |    0.7767 |    0.7044 |
+#> |.....................|     1.657 |    0.9717 |    0.7195 |     1.948 |
+#> |    F| Forward Diff. |    -12.57 |     1.267 |  -0.09715 |  -0.05310 |
+#> |.....................|    0.4138 |     1.728 |    -5.558 |     3.438 |
+#> |.....................|   -0.1081 |    0.1203 |    -1.232 |    -1.053 |
+#> |.....................|     2.344 |     2.291 |     2.543 |    -2.059 |
+#> |   22|     475.61346 |     1.003 |    -1.132 |   -0.9238 |   -0.9395 |
+#> |.....................|   -0.9995 |   -0.9557 |  -0.03467 |   -0.6999 |
+#> |.....................|   -0.7585 |   -0.8810 |   -0.8134 |    -1.094 |
+#> |.....................|   -0.4680 |   -0.8550 |    -1.042 |   -0.2607 |
+#> |    U|     475.61346 |     91.32 |    -5.332 |   -0.9020 |    -2.202 |
+#> |.....................|    -4.612 |    0.4262 |     1.179 |   0.06353 |
+#> |.....................|    0.8782 |   0.05828 |    0.7774 |    0.7040 |
+#> |.....................|     1.656 |    0.9717 |    0.7181 |     1.950 |
+#> |    X|     475.61346 |     91.32 |  0.004833 |    0.2886 |    0.1106 |
+#> |.....................|  0.009932 |    0.6050 |     1.179 |   0.06353 |
+#> |.....................|    0.8782 |   0.05828 |    0.7774 |    0.7040 |
+#> |.....................|     1.656 |    0.9717 |    0.7181 |     1.950 |
+#> |    F| Forward Diff. |     5.192 |     1.277 |    0.1967 |  -0.08157 |
+#> |.....................|    0.4060 |     1.656 |    -5.231 |     3.627 |
+#> |.....................|   -0.1038 |   0.05786 |    -1.199 |   -0.8859 |
+#> |.....................|     2.283 |     2.293 |     2.331 |    -2.101 |
+#> |   23|     475.58436 |     1.001 |    -1.133 |   -0.9239 |   -0.9395 |
+#> |.....................|   -0.9998 |   -0.9568 |  -0.03140 |   -0.7025 |
+#> |.....................|   -0.7585 |   -0.8810 |   -0.8126 |    -1.094 |
+#> |.....................|   -0.4692 |   -0.8560 |    -1.044 |   -0.2594 |
+#> |    U|     475.58436 |     91.09 |    -5.333 |   -0.9021 |    -2.202 |
+#> |.....................|    -4.612 |    0.4257 |     1.180 |   0.06346 |
+#> |.....................|    0.8782 |   0.05828 |    0.7780 |    0.7043 |
+#> |.....................|     1.654 |    0.9707 |    0.7167 |     1.952 |
+#> |    X|     475.58436 |     91.09 |  0.004829 |    0.2886 |    0.1106 |
+#> |.....................|  0.009929 |    0.6049 |     1.180 |   0.06346 |
+#> |.....................|    0.8782 |   0.05828 |    0.7780 |    0.7043 |
+#> |.....................|     1.654 |    0.9707 |    0.7167 |     1.952 |
+#> |    F| Forward Diff. |    -14.46 |     1.261 |   -0.1306 |  -0.05131 |
+#> |.....................|    0.4140 |     1.696 |    -5.518 |     3.404 |
+#> |.....................|   -0.1407 |    0.1181 |    -1.199 |    -1.071 |
+#> |.....................|     2.272 |     2.212 |     2.296 |    -2.075 |
+#> |   24|     475.53229 |     1.003 |    -1.134 |   -0.9240 |   -0.9394 |
+#> |.....................|    -1.000 |   -0.9581 |  -0.02828 |   -0.7055 |
+#> |.....................|   -0.7587 |   -0.8812 |   -0.8117 |    -1.094 |
+#> |.....................|   -0.4701 |   -0.8560 |    -1.045 |   -0.2580 |
+#> |    U|     475.53229 |     91.31 |    -5.334 |   -0.9021 |    -2.202 |
+#> |.....................|    -4.613 |    0.4251 |     1.181 |   0.06337 |
+#> |.....................|    0.8781 |   0.05828 |    0.7786 |    0.7039 |
+#> |.....................|     1.653 |    0.9708 |    0.7153 |     1.953 |
+#> |    X|     475.53229 |     91.31 |  0.004824 |    0.2886 |    0.1106 |
+#> |.....................|  0.009926 |    0.6047 |     1.181 |   0.06337 |
+#> |.....................|    0.8781 |   0.05828 |    0.7786 |    0.7039 |
+#> |.....................|     1.653 |    0.9708 |    0.7153 |     1.953 |
+#> |    F| Forward Diff. |     4.355 |     1.271 |    0.1786 |  -0.08149 |
+#> |.....................|    0.4055 |     1.621 |    -5.117 |     3.557 |
+#> |.....................|   -0.1060 |   0.04285 |   -0.9518 |    -2.902 |
+#> |.....................|     4.469 |     2.204 |     2.093 |    -2.115 |
+#> |   25|     475.50379 |     1.001 |    -1.135 |   -0.9241 |   -0.9394 |
+#> |.....................|    -1.000 |   -0.9591 |  -0.02533 |   -0.7076 |
+#> |.....................|   -0.7587 |   -0.8812 |   -0.8111 |    -1.093 |
+#> |.....................|   -0.4726 |   -0.8571 |    -1.047 |   -0.2568 |
+#> |    U|     475.50379 |     91.10 |    -5.335 |   -0.9022 |    -2.202 |
+#> |.....................|    -4.613 |    0.4247 |     1.182 |   0.06331 |
+#> |.....................|    0.8781 |   0.05828 |    0.7790 |    0.7053 |
+#> |.....................|     1.650 |    0.9697 |    0.7143 |     1.955 |
+#> |    X|     475.50379 |     91.10 |  0.004820 |    0.2886 |    0.1106 |
+#> |.....................|  0.009924 |    0.6046 |     1.182 |   0.06331 |
+#> |.....................|    0.8781 |   0.05828 |    0.7790 |    0.7053 |
+#> |.....................|     1.650 |    0.9697 |    0.7143 |     1.955 |
+#> |    F| Forward Diff. |    -13.73 |     1.259 |   -0.1294 |  -0.05234 |
+#> |.....................|    0.4131 |     1.659 |    -5.626 |     3.356 |
+#> |.....................|   -0.1179 |    0.1182 |    -1.163 |   -0.9759 |
+#> |.....................|     2.282 |     2.162 |     2.085 |    -2.085 |
+#> |   26|     475.45890 |     1.004 |    -1.136 |   -0.9240 |   -0.9393 |
+#> |.....................|    -1.001 |   -0.9602 |  -0.02221 |   -0.7103 |
+#> |.....................|   -0.7588 |   -0.8813 |   -0.8104 |    -1.092 |
+#> |.....................|   -0.4738 |   -0.8571 |    -1.048 |   -0.2555 |
+#> |    U|      475.4589 |     91.37 |    -5.336 |   -0.9021 |    -2.202 |
+#> |.....................|    -4.613 |    0.4242 |     1.184 |   0.06323 |
+#> |.....................|    0.8781 |   0.05827 |    0.7796 |    0.7056 |
+#> |.....................|     1.649 |    0.9697 |    0.7132 |     1.956 |
+#> |    X|      475.4589 |     91.37 |  0.004816 |    0.2886 |    0.1106 |
+#> |.....................|  0.009921 |    0.6045 |     1.184 |   0.06323 |
+#> |.....................|    0.8781 |   0.05827 |    0.7796 |    0.7056 |
+#> |.....................|     1.649 |    0.9697 |    0.7132 |     1.956 |
+#> |    F| Forward Diff. |     9.388 |     1.275 |    0.2447 |  -0.08891 |
+#> |.....................|    0.4027 |     1.576 |    -4.598 |     3.539 |
+#> |.....................|  -0.08390 |   0.04261 |   -0.9004 |    -2.725 |
+#> |.....................|     4.305 |     2.111 |     1.882 |    -2.135 |
+#> |   27|     475.41657 |     1.002 |    -1.137 |   -0.9241 |   -0.9392 |
+#> |.....................|    -1.001 |   -0.9615 |  -0.01910 |   -0.7133 |
+#> |.....................|   -0.7590 |   -0.8814 |   -0.8097 |    -1.092 |
+#> |.....................|   -0.4754 |   -0.8571 |    -1.049 |   -0.2540 |
+#> |    U|     475.41657 |     91.17 |    -5.337 |   -0.9022 |    -2.202 |
+#> |.....................|    -4.613 |    0.4236 |     1.185 |   0.06314 |
+#> |.....................|    0.8780 |   0.05827 |    0.7801 |    0.7060 |
+#> |.....................|     1.647 |    0.9697 |    0.7121 |     1.958 |
+#> |    X|     475.41657 |     91.17 |  0.004811 |    0.2886 |    0.1106 |
+#> |.....................|  0.009918 |    0.6043 |     1.185 |   0.06314 |
+#> |.....................|    0.8780 |   0.05827 |    0.7801 |    0.7060 |
+#> |.....................|     1.647 |    0.9697 |    0.7121 |     1.958 |
+#> |    F| Forward Diff. |    -7.291 |     1.263 |  -0.02799 |  -0.06240 |
+#> |.....................|    0.4098 |     1.607 |    -5.561 |     3.409 |
+#> |.....................|   -0.1363 |   0.09124 |    -1.126 |   -0.9025 |
+#> |.....................|     4.264 |     2.123 |     1.858 |    -2.103 |
+#> |   28|     475.37603 |     1.004 |    -1.138 |   -0.9241 |   -0.9392 |
+#> |.....................|    -1.001 |   -0.9626 |  -0.01569 |   -0.7160 |
+#> |.....................|   -0.7590 |   -0.8815 |   -0.8090 |    -1.092 |
+#> |.....................|   -0.4775 |   -0.8574 |    -1.050 |   -0.2525 |
+#> |    U|     475.37603 |     91.35 |    -5.338 |   -0.9022 |    -2.202 |
+#> |.....................|    -4.614 |    0.4231 |     1.186 |   0.06307 |
+#> |.....................|    0.8780 |   0.05827 |    0.7806 |    0.7060 |
+#> |.....................|     1.645 |    0.9695 |    0.7112 |     1.960 |
+#> |    X|     475.37603 |     91.35 |  0.004807 |    0.2886 |    0.1106 |
+#> |.....................|  0.009915 |    0.6042 |     1.186 |   0.06307 |
+#> |.....................|    0.8780 |   0.05827 |    0.7806 |    0.7060 |
+#> |.....................|     1.645 |    0.9695 |    0.7112 |     1.960 |
+#> |    F| Forward Diff. |     7.976 |     1.271 |    0.2167 |  -0.08766 |
+#> |.....................|    0.4024 |     1.550 |    -5.132 |     3.516 |
+#> |.....................|  -0.09627 |   0.04106 |    -1.088 |   -0.7404 |
+#> |.....................|     4.103 |     2.126 |     1.707 |    -2.133 |
+#> |   29|     475.34297 |     1.001 |    -1.139 |   -0.9242 |   -0.9391 |
+#> |.....................|    -1.002 |   -0.9636 |  -0.01242 |   -0.7185 |
+#> |.....................|   -0.7591 |   -0.8816 |   -0.8082 |    -1.092 |
+#> |.....................|   -0.4796 |   -0.8578 |    -1.051 |   -0.2511 |
+#> |    U|     475.34297 |     91.13 |    -5.339 |   -0.9023 |    -2.201 |
+#> |.....................|    -4.614 |    0.4226 |     1.188 |   0.06299 |
+#> |.....................|    0.8779 |   0.05826 |    0.7812 |    0.7056 |
+#> |.....................|     1.642 |    0.9691 |    0.7103 |     1.962 |
+#> |    X|     475.34297 |     91.13 |  0.004803 |    0.2886 |    0.1106 |
+#> |.....................|  0.009912 |    0.6041 |     1.188 |   0.06299 |
+#> |.....................|    0.8779 |   0.05826 |    0.7812 |    0.7056 |
+#> |.....................|     1.642 |    0.9691 |    0.7103 |     1.962 |
+#> |    F| Forward Diff. |    -11.69 |     1.251 |  -0.09758 |  -0.05188 |
+#> |.....................|    0.4100 |     1.596 |    -5.544 |     3.338 |
+#> |.....................|   -0.1288 |   0.09302 |    -1.103 |   -0.9943 |
+#> |.....................|     4.044 |     2.113 |     1.726 |    -2.096 |
+#> |   30|     475.29763 |     1.004 |    -1.140 |   -0.9242 |   -0.9391 |
+#> |.....................|    -1.002 |   -0.9647 | -0.009016 |   -0.7212 |
+#> |.....................|   -0.7592 |   -0.8817 |   -0.8074 |    -1.093 |
+#> |.....................|   -0.4815 |   -0.8578 |    -1.052 |   -0.2496 |
+#> |    U|     475.29763 |     91.33 |    -5.340 |   -0.9023 |    -2.201 |
+#> |.....................|    -4.614 |    0.4221 |     1.189 |   0.06292 |
+#> |.....................|    0.8779 |   0.05826 |    0.7818 |    0.7049 |
+#> |.....................|     1.640 |    0.9691 |    0.7096 |     1.964 |
+#> |    X|     475.29763 |     91.33 |  0.004798 |    0.2886 |    0.1106 |
+#> |.....................|  0.009909 |    0.6040 |     1.189 |   0.06292 |
+#> |.....................|    0.8779 |   0.05826 |    0.7818 |    0.7049 |
+#> |.....................|     1.640 |    0.9691 |    0.7096 |     1.964 |
+#> |    F| Forward Diff. |     5.626 |     1.261 |    0.1834 |  -0.08674 |
+#> |.....................|    0.4019 |     1.535 |    -5.612 |     3.466 |
+#> |.....................|   -0.1091 |   0.03444 |    -1.082 |   -0.8814 |
+#> |.....................|     3.882 |     2.084 |     1.576 |    -2.128 |
+#> |   31|     475.26968 |     1.001 |    -1.140 |   -0.9243 |   -0.9390 |
+#> |.....................|    -1.002 |   -0.9656 | -0.005554 |   -0.7235 |
+#> |.....................|   -0.7592 |   -0.8818 |   -0.8067 |    -1.093 |
+#> |.....................|   -0.4837 |   -0.8585 |    -1.053 |   -0.2482 |
+#> |    U|     475.26968 |     91.11 |    -5.340 |   -0.9024 |    -2.201 |
+#> |.....................|    -4.615 |    0.4217 |     1.191 |   0.06285 |
+#> |.....................|    0.8779 |   0.05826 |    0.7823 |    0.7049 |
+#> |.....................|     1.637 |    0.9684 |    0.7088 |     1.965 |
+#> |    X|     475.26968 |     91.11 |  0.004794 |    0.2886 |    0.1106 |
+#> |.....................|  0.009907 |    0.6039 |     1.191 |   0.06285 |
+#> |.....................|    0.8779 |   0.05826 |    0.7823 |    0.7049 |
+#> |.....................|     1.637 |    0.9684 |    0.7088 |     1.965 |
+#> |    F| Forward Diff. |    -13.71 |     1.246 |   -0.1255 |  -0.05322 |
+#> |.....................|    0.4099 |     1.581 |    -5.546 |     3.317 |
+#> |.....................|   -0.1509 |    0.1096 |   -0.8594 |    -3.000 |
+#> |.....................|     3.990 |     2.056 |     1.604 |    -2.087 |
+#> |   32|     475.22190 |     1.004 |    -1.141 |   -0.9243 |   -0.9390 |
+#> |.....................|    -1.002 |   -0.9667 | -0.002058 |   -0.7261 |
+#> |.....................|   -0.7593 |   -0.8819 |   -0.8061 |    -1.093 |
+#> |.....................|   -0.4854 |   -0.8583 |    -1.054 |   -0.2469 |
+#> |    U|      475.2219 |     91.33 |    -5.341 |   -0.9024 |    -2.201 |
+#> |.....................|    -4.615 |    0.4212 |     1.192 |   0.06277 |
+#> |.....................|    0.8778 |   0.05826 |    0.7828 |    0.7049 |
+#> |.....................|     1.635 |    0.9686 |    0.7081 |     1.967 |
+#> |    X|      475.2219 |     91.33 |  0.004790 |    0.2886 |    0.1107 |
+#> |.....................|  0.009904 |    0.6038 |     1.192 |   0.06277 |
+#> |.....................|    0.8778 |   0.05826 |    0.7828 |    0.7049 |
+#> |.....................|     1.635 |    0.9686 |    0.7081 |     1.967 |
+#> |    F| Forward Diff. |     5.841 |     1.258 |    0.1840 |  -0.08823 |
+#> |.....................|    0.4011 |     1.514 |    -4.992 |     3.441 |
+#> |.....................|   -0.1080 |   0.03852 |    -1.043 |   -0.8514 |
+#> |.....................|     3.826 |     2.019 |     1.451 |    -2.125 |
+#> |   33|     475.19540 |     1.001 |    -1.142 |   -0.9244 |   -0.9389 |
+#> |.....................|    -1.003 |   -0.9677 |  0.001228 |   -0.7286 |
+#> |.....................|   -0.7593 |   -0.8819 |   -0.8054 |    -1.093 |
+#> |.....................|   -0.4876 |   -0.8589 |    -1.055 |   -0.2455 |
+#> |    U|      475.1954 |     91.10 |    -5.342 |   -0.9025 |    -2.201 |
+#> |.....................|    -4.615 |    0.4207 |     1.193 |   0.06270 |
+#> |.....................|    0.8778 |   0.05825 |    0.7833 |    0.7050 |
+#> |.....................|     1.633 |    0.9680 |    0.7073 |     1.969 |
+#> |    X|      475.1954 |     91.10 |  0.004786 |    0.2885 |    0.1107 |
+#> |.....................|  0.009901 |    0.6037 |     1.193 |   0.06270 |
+#> |.....................|    0.8778 |   0.05825 |    0.7833 |    0.7050 |
+#> |.....................|     1.633 |    0.9680 |    0.7073 |     1.969 |
+#> |    F| Forward Diff. |    -14.17 |     1.239 |   -0.1323 |  -0.05443 |
+#> |.....................|    0.4093 |     1.561 |    -5.475 |     3.262 |
+#> |.....................|   -0.1301 |   0.09817 |    -1.038 |    -1.045 |
+#> |.....................|     3.818 |     2.054 |     1.474 |    -2.085 |
+#> |   34|     475.14668 |     1.003 |    -1.143 |   -0.9244 |   -0.9388 |
+#> |.....................|    -1.003 |   -0.9688 |  0.004635 |   -0.7312 |
+#> |.....................|   -0.7595 |   -0.8820 |   -0.8046 |    -1.094 |
+#> |.....................|   -0.4894 |   -0.8588 |    -1.055 |   -0.2440 |
+#> |    U|     475.14668 |     91.31 |    -5.343 |   -0.9025 |    -2.201 |
+#> |.....................|    -4.615 |    0.4202 |     1.195 |   0.06262 |
+#> |.....................|    0.8778 |   0.05825 |    0.7838 |    0.7043 |
+#> |.....................|     1.631 |    0.9681 |    0.7066 |     1.970 |
+#> |    X|     475.14668 |     91.31 |  0.004781 |    0.2885 |    0.1107 |
+#> |.....................|  0.009898 |    0.6035 |     1.195 |   0.06262 |
+#> |.....................|    0.8778 |   0.05825 |    0.7838 |    0.7043 |
+#> |.....................|     1.631 |    0.9681 |    0.7066 |     1.970 |
+#> |    F| Forward Diff. |     3.838 |     1.251 |    0.1547 |  -0.08725 |
+#> |.....................|    0.4006 |     1.498 |    -4.927 |     3.416 |
+#> |.....................|   -0.1219 |   0.06473 |    -1.010 |    -2.917 |
+#> |.....................|     3.712 |     2.020 |     1.337 |    -2.117 |
+#> |   35|     475.12366 |     1.001 |    -1.144 |   -0.9245 |   -0.9388 |
+#> |.....................|    -1.003 |   -0.9698 |  0.007665 |   -0.7333 |
+#> |.....................|   -0.7594 |   -0.8821 |   -0.8040 |    -1.092 |
+#> |.....................|   -0.4916 |   -0.8600 |    -1.056 |   -0.2427 |
+#> |    U|     475.12366 |     91.10 |    -5.344 |   -0.9025 |    -2.201 |
+#> |.....................|    -4.616 |    0.4198 |     1.196 |   0.06256 |
+#> |.....................|    0.8778 |   0.05825 |    0.7843 |    0.7059 |
+#> |.....................|     1.628 |    0.9669 |    0.7059 |     1.972 |
+#> |    X|     475.12366 |     91.10 |  0.004777 |    0.2885 |    0.1107 |
+#> |.....................|  0.009896 |    0.6034 |     1.196 |   0.06256 |
+#> |.....................|    0.8778 |   0.05825 |    0.7843 |    0.7059 |
+#> |.....................|     1.628 |    0.9669 |    0.7059 |     1.972 |
+#> |    F| Forward Diff. |    -14.75 |     1.239 |   -0.1466 |  -0.05465 |
+#> |.....................|    0.4082 |     1.541 |    -5.471 |     3.270 |
+#> |.....................|   -0.1342 |   0.09829 |    -1.014 |    -1.026 |
+#> |.....................|     3.624 |     1.932 |     1.359 |    -2.081 |
+#> |   36|     475.07465 |     1.004 |    -1.145 |   -0.9245 |   -0.9387 |
+#> |.....................|    -1.003 |   -0.9709 |   0.01108 |   -0.7360 |
+#> |.....................|   -0.7595 |   -0.8821 |   -0.8033 |    -1.092 |
+#> |.....................|   -0.4933 |   -0.8597 |    -1.057 |   -0.2414 |
+#> |    U|     475.07465 |     91.33 |    -5.345 |   -0.9025 |    -2.201 |
+#> |.....................|    -4.616 |    0.4193 |     1.198 |   0.06248 |
+#> |.....................|    0.8778 |   0.05825 |    0.7848 |    0.7058 |
+#> |.....................|     1.626 |    0.9672 |    0.7053 |     1.974 |
+#> |    X|     475.07465 |     91.33 |  0.004773 |    0.2885 |    0.1107 |
+#> |.....................|  0.009893 |    0.6033 |     1.198 |   0.06248 |
+#> |.....................|    0.8778 |   0.05825 |    0.7848 |    0.7058 |
+#> |.....................|     1.626 |    0.9672 |    0.7053 |     1.974 |
+#> |    F| Forward Diff. |     5.021 |     1.249 |    0.1599 |  -0.08992 |
+#> |.....................|    0.3985 |     1.471 |    -4.995 |     3.410 |
+#> |.....................|   -0.1196 |   0.03779 |   -0.9990 |    -2.873 |
+#> |.....................|     3.497 |     1.906 |     1.211 |    -2.119 |
+#> |   37|     475.04940 |     1.001 |    -1.146 |   -0.9245 |   -0.9386 |
+#> |.....................|    -1.004 |   -0.9719 |   0.01438 |   -0.7384 |
+#> |.....................|   -0.7594 |   -0.8822 |   -0.8026 |    -1.091 |
+#> |.....................|   -0.4953 |   -0.8604 |    -1.058 |   -0.2400 |
+#> |    U|      475.0494 |     91.11 |    -5.346 |   -0.9026 |    -2.201 |
+#> |.....................|    -4.616 |    0.4188 |     1.199 |   0.06242 |
+#> |.....................|    0.8778 |   0.05825 |    0.7853 |    0.7070 |
+#> |.....................|     1.623 |    0.9666 |    0.7046 |     1.975 |
+#> |    X|      475.0494 |     91.11 |  0.004769 |    0.2885 |    0.1107 |
+#> |.....................|  0.009890 |    0.6032 |     1.199 |   0.06242 |
+#> |.....................|    0.8778 |   0.05825 |    0.7853 |    0.7070 |
+#> |.....................|     1.623 |    0.9666 |    0.7046 |     1.975 |
+#> |    F| Forward Diff. |    -14.15 |     1.235 |   -0.1370 |  -0.05688 |
+#> |.....................|    0.4085 |     1.517 |    -5.494 |     3.160 |
+#> |.....................|   -0.1583 |    0.1112 |   -0.7821 |    -2.927 |
+#> |.....................|     3.432 |     1.909 |     1.245 |    -2.084 |
+#> |   38|     475.00092 |     1.004 |    -1.147 |   -0.9245 |   -0.9386 |
+#> |.....................|    -1.004 |   -0.9731 |   0.01792 |   -0.7411 |
+#> |.....................|   -0.7595 |   -0.8822 |   -0.8020 |    -1.090 |
+#> |.....................|   -0.4968 |   -0.8598 |    -1.059 |   -0.2387 |
+#> |    U|     475.00092 |     91.32 |    -5.347 |   -0.9025 |    -2.201 |
+#> |.....................|    -4.617 |    0.4182 |     1.200 |   0.06234 |
+#> |.....................|    0.8778 |   0.05825 |    0.7857 |    0.7077 |
+#> |.....................|     1.622 |    0.9671 |    0.7039 |     1.977 |
+#> |    X|     475.00092 |     91.32 |  0.004764 |    0.2885 |    0.1107 |
+#> |.....................|  0.009887 |    0.6031 |     1.200 |   0.06234 |
+#> |.....................|    0.8778 |   0.05825 |    0.7857 |    0.7077 |
+#> |.....................|     1.622 |    0.9671 |    0.7039 |     1.977 |
+#> |    F| Forward Diff. |     4.379 |     1.249 |    0.1419 |  -0.08698 |
+#> |.....................|    0.3989 |     1.449 |    -4.966 |     3.395 |
+#> |.....................|   -0.1055 |   0.03295 |   -0.9696 |   -0.7580 |
+#> |.....................|     3.283 |     1.918 |     1.096 |    -2.115 |
+#> |   39|     474.98492 |     1.001 |    -1.147 |   -0.9246 |   -0.9385 |
+#> |.....................|    -1.004 |   -0.9740 |   0.02115 |   -0.7433 |
+#> |.....................|   -0.7595 |   -0.8822 |   -0.8014 |    -1.089 |
+#> |.....................|   -0.4989 |   -0.8610 |    -1.059 |   -0.2373 |
+#> |    U|     474.98492 |     91.07 |    -5.347 |   -0.9026 |    -2.201 |
+#> |.....................|    -4.617 |    0.4178 |     1.202 |   0.06227 |
+#> |.....................|    0.8778 |   0.05825 |    0.7862 |    0.7081 |
+#> |.....................|     1.619 |    0.9660 |    0.7033 |     1.978 |
+#> |    X|     474.98492 |     91.07 |  0.004760 |    0.2885 |    0.1107 |
+#> |.....................|  0.009884 |    0.6030 |     1.202 |   0.06227 |
+#> |.....................|    0.8778 |   0.05825 |    0.7862 |    0.7081 |
+#> |.....................|     1.619 |    0.9660 |    0.7033 |     1.978 |
+#> |    F| Forward Diff. |    -17.65 |     1.231 |   -0.1920 |  -0.05242 |
+#> |.....................|    0.4084 |     1.504 |    -5.397 |     3.171 |
+#> |.....................|   -0.1354 |    0.1061 |   -0.9468 |   -0.9144 |
+#> |.....................|     1.271 |     1.859 |     1.156 |    -2.067 |
+#> |   40|     474.93249 |     1.004 |    -1.148 |   -0.9245 |   -0.9384 |
+#> |.....................|    -1.005 |   -0.9752 |   0.02452 |   -0.7460 |
+#> |.....................|   -0.7596 |   -0.8823 |   -0.8007 |    -1.090 |
+#> |.....................|   -0.5000 |   -0.8607 |    -1.060 |   -0.2361 |
+#> |    U|     474.93249 |     91.32 |    -5.348 |   -0.9026 |    -2.201 |
+#> |.....................|    -4.617 |    0.4173 |     1.203 |   0.06220 |
+#> |.....................|    0.8778 |   0.05824 |    0.7867 |    0.7073 |
+#> |.....................|     1.618 |    0.9663 |    0.7027 |     1.980 |
+#> |    X|     474.93249 |     91.32 |  0.004755 |    0.2885 |    0.1107 |
+#> |.....................|  0.009881 |    0.6028 |     1.203 |   0.06220 |
+#> |.....................|    0.8778 |   0.05824 |    0.7867 |    0.7073 |
+#> |.....................|     1.618 |    0.9663 |    0.7027 |     1.980 |
+#> |    F| Forward Diff. |     4.492 |     1.243 |    0.1448 |  -0.09052 |
+#> |.....................|    0.3963 |     1.427 |    -4.973 |     3.376 |
+#> |.....................|  -0.06414 |   0.02300 |   -0.7344 |    -2.787 |
+#> |.....................|     3.083 |     1.834 |    0.9813 |    -2.110 |
+#> |   41|     474.90355 |     1.001 |    -1.149 |   -0.9246 |   -0.9383 |
+#> |.....................|    -1.005 |   -0.9763 |   0.02806 |   -0.7486 |
+#> |.....................|   -0.7596 |   -0.8823 |   -0.8002 |    -1.089 |
+#> |.....................|   -0.5018 |   -0.8611 |    -1.061 |   -0.2347 |
+#> |    U|     474.90355 |     91.13 |    -5.349 |   -0.9026 |    -2.201 |
+#> |.....................|    -4.617 |    0.4168 |     1.205 |   0.06212 |
+#> |.....................|    0.8777 |   0.05824 |    0.7870 |    0.7084 |
+#> |.....................|     1.616 |    0.9659 |    0.7020 |     1.982 |
+#> |    X|     474.90355 |     91.13 |  0.004751 |    0.2885 |    0.1107 |
+#> |.....................|  0.009878 |    0.6027 |     1.205 |   0.06212 |
+#> |.....................|    0.8777 |   0.05824 |    0.7870 |    0.7084 |
+#> |.....................|     1.616 |    0.9659 |    0.7020 |     1.982 |
+#> |    F| Forward Diff. |    -12.15 |     1.229 |   -0.1075 |  -0.06320 |
+#> |.....................|    0.4033 |     1.463 |    -5.606 |     3.135 |
+#> |.....................|   -0.1416 |   0.07801 |   -0.9461 |    -2.867 |
+#> |.....................|     3.063 |     1.817 |     1.008 |    -2.075 |
+#> |   42|     474.85832 |     1.003 |    -1.150 |   -0.9245 |   -0.9383 |
+#> |.....................|    -1.005 |   -0.9775 |   0.03184 |   -0.7513 |
+#> |.....................|   -0.7597 |   -0.8823 |   -0.7996 |    -1.089 |
+#> |.....................|   -0.5032 |   -0.8605 |    -1.061 |   -0.2334 |
+#> |    U|     474.85832 |     91.32 |    -5.350 |   -0.9026 |    -2.201 |
+#> |.....................|    -4.618 |    0.4162 |     1.206 |   0.06204 |
+#> |.....................|    0.8777 |   0.05824 |    0.7875 |    0.7089 |
+#> |.....................|     1.614 |    0.9665 |    0.7015 |     1.983 |
+#> |    X|     474.85832 |     91.32 |  0.004746 |    0.2885 |    0.1107 |
+#> |.....................|  0.009875 |    0.6026 |     1.206 |   0.06204 |
+#> |.....................|    0.8777 |   0.05824 |    0.7875 |    0.7089 |
+#> |.....................|     1.614 |    0.9665 |    0.7015 |     1.983 |
+#> |    F| Forward Diff. |     3.689 |     1.242 |    0.1265 |  -0.09001 |
+#> |.....................|    0.3949 |     1.405 |    -5.495 |     3.344 |
+#> |.....................|   -0.1166 |   0.02645 |   -0.9105 |   -0.7126 |
+#> |.....................|     2.952 |     1.861 |    0.8779 |    -2.102 |
+#> |   43|     474.83791 |     1.001 |    -1.151 |   -0.9246 |   -0.9382 |
+#> |.....................|    -1.006 |   -0.9784 |   0.03545 |   -0.7535 |
+#> |.....................|   -0.7596 |   -0.8823 |   -0.7990 |    -1.088 |
+#> |.....................|   -0.5052 |   -0.8617 |    -1.062 |   -0.2320 |
+#> |    U|     474.83791 |     91.10 |    -5.351 |   -0.9027 |    -2.201 |
+#> |.....................|    -4.618 |    0.4158 |     1.208 |   0.06198 |
+#> |.....................|    0.8777 |   0.05824 |    0.7879 |    0.7094 |
+#> |.....................|     1.612 |    0.9653 |    0.7010 |     1.985 |
+#> |    X|     474.83791 |     91.10 |  0.004742 |    0.2885 |    0.1107 |
+#> |.....................|  0.009872 |    0.6025 |     1.208 |   0.06198 |
+#> |.....................|    0.8777 |   0.05824 |    0.7879 |    0.7094 |
+#> |.....................|     1.612 |    0.9653 |    0.7010 |     1.985 |
+#> |    F| Forward Diff. |    -15.77 |     1.225 |   -0.1616 |  -0.05944 |
+#> |.....................|    0.4032 |     1.455 |    -5.461 |     3.071 |
+#> |.....................|   -0.1419 |   0.08593 |   -0.9091 |   -0.8855 |
+#> |.....................|     2.951 |     1.791 |    0.9091 |    -2.062 |
+#> |   44|     474.78971 |     1.004 |    -1.152 |   -0.9246 |   -0.9381 |
+#> |.....................|    -1.006 |   -0.9794 |   0.03911 |   -0.7559 |
+#> |.....................|   -0.7597 |   -0.8824 |   -0.7984 |    -1.089 |
+#> |.....................|   -0.5068 |   -0.8614 |    -1.062 |   -0.2307 |
+#> |    U|     474.78971 |     91.33 |    -5.352 |   -0.9026 |    -2.200 |
+#> |.....................|    -4.618 |    0.4153 |     1.209 |   0.06191 |
+#> |.....................|    0.8777 |   0.05824 |    0.7883 |    0.7086 |
+#> |.....................|     1.610 |    0.9656 |    0.7006 |     1.986 |
+#> |    X|     474.78971 |     91.33 |  0.004738 |    0.2885 |    0.1107 |
+#> |.....................|  0.009869 |    0.6024 |     1.209 |   0.06191 |
+#> |.....................|    0.8777 |   0.05824 |    0.7883 |    0.7086 |
+#> |.....................|     1.610 |    0.9656 |    0.7006 |     1.986 |
+#> |    F| Forward Diff. |     4.398 |     1.237 |    0.1402 |  -0.09195 |
+#> |.....................|    0.3940 |     1.388 |    -4.885 |     3.322 |
+#> |.....................|   -0.1374 |   0.01792 |   -0.6865 |    -2.709 |
+#> |.....................|     2.810 |     1.778 |    0.8100 |    -2.095 |
+#> |   45|     474.76763 |     1.001 |    -1.153 |   -0.9247 |   -0.9380 |
+#> |.....................|    -1.006 |   -0.9804 |   0.04256 |   -0.7584 |
+#> |.....................|   -0.7597 |   -0.8824 |   -0.7979 |    -1.088 |
+#> |.....................|   -0.5086 |   -0.8621 |    -1.063 |   -0.2293 |
+#> |    U|     474.76763 |     91.11 |    -5.353 |   -0.9027 |    -2.200 |
+#> |.....................|    -4.619 |    0.4149 |     1.211 |   0.06184 |
+#> |.....................|    0.8777 |   0.05824 |    0.7887 |    0.7097 |
+#> |.....................|     1.608 |    0.9650 |    0.7001 |     1.988 |
+#> |    X|     474.76763 |     91.11 |  0.004734 |    0.2885 |    0.1108 |
+#> |.....................|  0.009867 |    0.6023 |     1.211 |   0.06184 |
+#> |.....................|    0.8777 |   0.05824 |    0.7887 |    0.7097 |
+#> |.....................|     1.608 |    0.9650 |    0.7001 |     1.988 |
+#> |    F| Forward Diff. |    -14.92 |     1.222 |   -0.1466 |  -0.06186 |
+#> |.....................|    0.4014 |     1.433 |    -4.989 |     3.157 |
+#> |.....................|   -0.1326 |   0.08284 |   -0.6789 |    -2.803 |
+#> |.....................|     2.814 |     1.775 |    0.8327 |    -2.053 |
+#> |   46|     474.71973 |     1.004 |    -1.154 |   -0.9246 |   -0.9379 |
+#> |.....................|    -1.006 |   -0.9816 |   0.04617 |   -0.7611 |
+#> |.....................|   -0.7597 |   -0.8824 |   -0.7975 |    -1.087 |
+#> |.....................|   -0.5100 |   -0.8614 |    -1.064 |   -0.2281 |
+#> |    U|     474.71973 |     91.32 |    -5.354 |   -0.9026 |    -2.200 |
+#> |.....................|    -4.619 |    0.4143 |     1.212 |   0.06176 |
+#> |.....................|    0.8777 |   0.05824 |    0.7890 |    0.7100 |
+#> |.....................|     1.606 |    0.9656 |    0.6996 |     1.990 |
+#> |    X|     474.71973 |     91.32 |  0.004729 |    0.2885 |    0.1108 |
+#> |.....................|  0.009863 |    0.6021 |     1.212 |   0.06176 |
+#> |.....................|    0.8777 |   0.05824 |    0.7890 |    0.7100 |
+#> |.....................|     1.606 |    0.9656 |    0.6996 |     1.990 |
+#> |    F| Forward Diff. |     4.021 |     1.236 |    0.1299 |  -0.09158 |
+#> |.....................|    0.3929 |     1.368 |    -4.925 |     3.331 |
+#> |.....................|  -0.07142 |   0.08893 |   -0.6522 |    -2.634 |
+#> |.....................|     2.639 |     1.780 |    0.7273 |    -2.085 |
+#> |   47|     474.70040 |     1.001 |    -1.155 |   -0.9247 |   -0.9379 |
+#> |.....................|    -1.007 |   -0.9826 |   0.04954 |   -0.7634 |
+#> |.....................|   -0.7597 |   -0.8825 |   -0.7971 |    -1.086 |
+#> |.....................|   -0.5117 |   -0.8624 |    -1.064 |   -0.2267 |
+#> |    U|      474.7004 |     91.10 |    -5.355 |   -0.9027 |    -2.200 |
+#> |.....................|    -4.619 |    0.4139 |     1.214 |   0.06169 |
+#> |.....................|    0.8777 |   0.05824 |    0.7893 |    0.7114 |
+#> |.....................|     1.604 |    0.9647 |    0.6992 |     1.991 |
+#> |    X|      474.7004 |     91.10 |  0.004724 |    0.2885 |    0.1108 |
+#> |.....................|  0.009861 |    0.6020 |     1.214 |   0.06169 |
+#> |.....................|    0.8777 |   0.05824 |    0.7893 |    0.7114 |
+#> |.....................|     1.604 |    0.9647 |    0.6992 |     1.991 |
+#> |    F| Forward Diff. |    -15.76 |     1.220 |   -0.1617 |  -0.06091 |
+#> |.....................|    0.4007 |     1.415 |    -5.116 |     3.166 |
+#> |.....................|   -0.1298 |   0.07714 |   -0.6701 |    -2.700 |
+#> |.....................|     2.670 |     1.748 |    0.7590 |    -2.043 |
+#> |   48|     474.65116 |     1.003 |    -1.156 |   -0.9246 |   -0.9378 |
+#> |.....................|    -1.007 |   -0.9837 |   0.05321 |   -0.7662 |
+#> |.....................|   -0.7598 |   -0.8825 |   -0.7967 |    -1.086 |
+#> |.....................|   -0.5130 |   -0.8617 |    -1.065 |   -0.2255 |
+#> |    U|     474.65116 |     91.32 |    -5.356 |   -0.9026 |    -2.200 |
+#> |.....................|    -4.620 |    0.4134 |     1.215 |   0.06161 |
+#> |.....................|    0.8777 |   0.05824 |    0.7896 |    0.7116 |
+#> |.....................|     1.603 |    0.9653 |    0.6987 |     1.993 |
+#> |    X|     474.65116 |     91.32 |  0.004720 |    0.2885 |    0.1108 |
+#> |.....................|  0.009857 |    0.6019 |     1.215 |   0.06161 |
+#> |.....................|    0.8777 |   0.05824 |    0.7896 |    0.7116 |
+#> |.....................|     1.603 |    0.9653 |    0.6987 |     1.993 |
+#> |    F| Forward Diff. |     3.462 |     1.239 |    0.1107 |  -0.09136 |
+#> |.....................|    0.3915 |     1.348 |    -5.441 |     3.268 |
+#> |.....................|   -0.1113 |   0.02510 |   -0.6252 |    -2.485 |
+#> |.....................|     2.647 |     1.796 |    0.6587 |    -2.076 |
+#> |   49|     474.63065 |     1.001 |    -1.157 |   -0.9247 |   -0.9377 |
+#> |.....................|    -1.007 |   -0.9846 |   0.05678 |   -0.7683 |
+#> |.....................|   -0.7597 |   -0.8825 |   -0.7963 |    -1.084 |
+#> |.....................|   -0.5148 |   -0.8629 |    -1.065 |   -0.2241 |
+#> |    U|     474.63065 |     91.11 |    -5.357 |   -0.9027 |    -2.200 |
+#> |.....................|    -4.620 |    0.4129 |     1.217 |   0.06155 |
+#> |.....................|    0.8777 |   0.05824 |    0.7899 |    0.7131 |
+#> |.....................|     1.600 |    0.9642 |    0.6984 |     1.994 |
+#> |    X|     474.63065 |     91.11 |  0.004716 |    0.2885 |    0.1108 |
+#> |.....................|  0.009855 |    0.6018 |     1.217 |   0.06155 |
+#> |.....................|    0.8777 |   0.05824 |    0.7899 |    0.7131 |
+#> |.....................|     1.600 |    0.9642 |    0.6984 |     1.994 |
+#> |    F| Forward Diff. |    -14.93 |     1.220 |   -0.1531 |  -0.06288 |
+#> |.....................|    0.3983 |     1.394 |    -5.436 |     3.113 |
+#> |.....................|   -0.1458 |   0.07621 |   -0.8397 |   -0.6848 |
+#> |.....................|     2.501 |     1.690 |    0.6891 |    -2.034 |
+#> |   50|     474.58497 |     1.004 |    -1.158 |   -0.9246 |   -0.9376 |
+#> |.....................|    -1.008 |   -0.9857 |   0.06060 |   -0.7708 |
+#> |.....................|   -0.7598 |   -0.8826 |   -0.7958 |    -1.084 |
+#> |.....................|   -0.5162 |   -0.8624 |    -1.065 |   -0.2230 |
+#> |    U|     474.58497 |     91.34 |    -5.358 |   -0.9027 |    -2.200 |
+#> |.....................|    -4.620 |    0.4125 |     1.218 |   0.06148 |
+#> |.....................|    0.8777 |   0.05824 |    0.7902 |    0.7126 |
+#> |.....................|     1.599 |    0.9647 |    0.6980 |     1.996 |
+#> |    X|     474.58497 |     91.34 |  0.004711 |    0.2885 |    0.1108 |
+#> |.....................|  0.009852 |    0.6017 |     1.218 |   0.06148 |
+#> |.....................|    0.8777 |   0.05824 |    0.7902 |    0.7126 |
+#> |.....................|     1.599 |    0.9647 |    0.6980 |     1.996 |
+#> |    F| Forward Diff. |     5.248 |     1.234 |    0.1371 |  -0.09456 |
+#> |.....................|    0.3896 |     1.328 |    -5.011 |     3.180 |
+#> |.....................|   -0.1110 |  0.004022 |   -0.8103 |   -0.4964 |
+#> |.....................|     2.349 |     1.713 |    0.5705 |    -2.061 |
+#> |   51|     474.55760 |     1.002 |    -1.159 |   -0.9247 |   -0.9376 |
+#> |.....................|    -1.008 |   -0.9867 |   0.06444 |   -0.7734 |
+#> |.....................|   -0.7598 |   -0.8826 |   -0.7952 |    -1.085 |
+#> |.....................|   -0.5178 |   -0.8626 |    -1.066 |   -0.2215 |
+#> |    U|      474.5576 |     91.15 |    -5.359 |   -0.9027 |    -2.200 |
+#> |.....................|    -4.620 |    0.4120 |     1.220 |   0.06140 |
+#> |.....................|    0.8777 |   0.05824 |    0.7907 |    0.7122 |
+#> |.....................|     1.597 |    0.9645 |    0.6977 |     1.998 |
+#> |    X|      474.5576 |     91.15 |  0.004706 |    0.2885 |    0.1108 |
+#> |.....................|  0.009849 |    0.6016 |     1.220 |   0.06140 |
+#> |.....................|    0.8777 |   0.05824 |    0.7907 |    0.7122 |
+#> |.....................|     1.597 |    0.9645 |    0.6977 |     1.998 |
+#> |    F| Forward Diff. |    -11.86 |     1.219 |   -0.1003 |  -0.07615 |
+#> |.....................|    0.3954 |     1.369 |    -4.929 |     3.171 |
+#> |.....................|   -0.1229 |   0.06540 |   -0.8183 |   -0.7141 |
+#> |.....................|     2.360 |     1.696 |    0.6359 |    -2.032 |
+#> |   52|     474.51619 |     1.004 |    -1.160 |   -0.9246 |   -0.9375 |
+#> |.....................|    -1.008 |   -0.9878 |   0.06816 |   -0.7761 |
+#> |.....................|   -0.7599 |   -0.8826 |   -0.7946 |    -1.086 |
+#> |.....................|   -0.5193 |   -0.8622 |    -1.066 |   -0.2202 |
+#> |    U|     474.51619 |     91.33 |    -5.360 |   -0.9027 |    -2.200 |
+#> |.....................|    -4.621 |    0.4115 |     1.221 |   0.06132 |
+#> |.....................|    0.8776 |   0.05823 |    0.7911 |    0.7113 |
+#> |.....................|     1.595 |    0.9648 |    0.6972 |     1.999 |
+#> |    X|     474.51619 |     91.33 |  0.004702 |    0.2885 |    0.1108 |
+#> |.....................|  0.009846 |    0.6014 |     1.221 |   0.06132 |
+#> |.....................|    0.8776 |   0.05823 |    0.7911 |    0.7113 |
+#> |.....................|     1.595 |    0.9648 |    0.6972 |     1.999 |
+#> |    F| Forward Diff. |     4.413 |     1.225 |    0.1371 |  -0.09620 |
+#> |.....................|    0.3880 |     1.314 |    -5.554 |     3.197 |
+#> |.....................|  -0.07604 |  0.008867 |   -0.7931 |   -0.6282 |
+#> |.....................|     2.148 |     1.715 |    0.5273 |    -2.052 |
+#> |   53|     474.48673 |     1.002 |    -1.161 |   -0.9247 |   -0.9374 |
+#> |.....................|    -1.009 |   -0.9889 |   0.07224 |   -0.7786 |
+#> |.....................|   -0.7599 |   -0.8826 |   -0.7941 |    -1.086 |
+#> |.....................|   -0.5208 |   -0.8625 |    -1.067 |   -0.2188 |
+#> |    U|     474.48673 |     91.17 |    -5.361 |   -0.9027 |    -2.200 |
+#> |.....................|    -4.621 |    0.4110 |     1.223 |   0.06125 |
+#> |.....................|    0.8776 |   0.05823 |    0.7915 |    0.7110 |
+#> |.....................|     1.593 |    0.9645 |    0.6969 |     2.001 |
+#> |    X|     474.48673 |     91.17 |  0.004697 |    0.2885 |    0.1108 |
+#> |.....................|  0.009843 |    0.6013 |     1.223 |   0.06125 |
+#> |.....................|    0.8776 |   0.05823 |    0.7915 |    0.7110 |
+#> |.....................|     1.593 |    0.9645 |    0.6969 |     2.001 |
+#> |    F| Forward Diff. |    -10.51 |     1.211 |  -0.06554 |  -0.07429 |
+#> |.....................|    0.3932 |     1.350 |    -4.456 |     3.182 |
+#> |.....................|  -0.08901 |   0.05354 |   -0.5957 |    -2.739 |
+#> |.....................|     2.160 |     1.696 |    0.5687 |    -2.022 |
+#> |   54|     474.45218 |     1.004 |    -1.162 |   -0.9246 |   -0.9373 |
+#> |.....................|    -1.009 |   -0.9900 |   0.07590 |   -0.7814 |
+#> |.....................|   -0.7601 |   -0.8826 |   -0.7937 |    -1.086 |
+#> |.....................|   -0.5220 |   -0.8620 |    -1.067 |   -0.2177 |
+#> |    U|     474.45218 |     91.40 |    -5.362 |   -0.9027 |    -2.200 |
+#> |.....................|    -4.621 |    0.4105 |     1.224 |   0.06117 |
+#> |.....................|    0.8776 |   0.05823 |    0.7918 |    0.7111 |
+#> |.....................|     1.592 |    0.9650 |    0.6965 |     2.002 |
+#> |    X|     474.45218 |     91.40 |  0.004692 |    0.2885 |    0.1108 |
+#> |.....................|  0.009840 |    0.6012 |     1.224 |   0.06117 |
+#> |.....................|    0.8776 |   0.05823 |    0.7918 |    0.7111 |
+#> |.....................|     1.592 |    0.9650 |    0.6965 |     2.002 |
+#> |    F| Forward Diff. |     9.724 |     1.224 |    0.2009 |   -0.1069 |
+#> |.....................|    0.3834 |     1.279 |    -5.556 |     3.324 |
+#> |.....................|   -0.1101 |  -0.01912 |   -0.5638 |    -2.553 |
+#> |.....................|     2.043 |     1.731 |    0.4140 |    -2.044 |
+#> |   55|     474.41257 |     1.003 |    -1.163 |   -0.9246 |   -0.9371 |
+#> |.....................|    -1.009 |   -0.9913 |   0.07979 |   -0.7844 |
+#> |.....................|   -0.7601 |   -0.8825 |   -0.7935 |    -1.085 |
+#> |.....................|   -0.5231 |   -0.8612 |    -1.068 |   -0.2167 |
+#> |    U|     474.41257 |     91.25 |    -5.363 |   -0.9026 |    -2.199 |
+#> |.....................|    -4.622 |    0.4099 |     1.226 |   0.06108 |
+#> |.....................|    0.8775 |   0.05824 |    0.7919 |    0.7118 |
+#> |.....................|     1.591 |    0.9658 |    0.6961 |     2.004 |
+#> |    X|     474.41257 |     91.25 |  0.004687 |    0.2885 |    0.1109 |
+#> |.....................|  0.009836 |    0.6011 |     1.226 |   0.06108 |
+#> |.....................|    0.8775 |   0.05824 |    0.7919 |    0.7118 |
+#> |.....................|     1.591 |    0.9658 |    0.6961 |     2.004 |
+#> |    F| Forward Diff. |    -3.208 |     1.213 |   0.03978 |  -0.08693 |
+#> |.....................|    0.3876 |     1.303 |    -5.023 |     3.218 |
+#> |.....................|   -0.1347 |   0.02311 |   -0.7771 |   -0.6556 |
+#> |.....................|     2.056 |     1.822 |    0.4520 |    -2.025 |
+#> |   56|     474.39271 |     1.005 |    -1.164 |   -0.9246 |   -0.9371 |
+#> |.....................|    -1.010 |   -0.9922 |   0.08348 |   -0.7867 |
+#> |.....................|   -0.7600 |   -0.8825 |   -0.7930 |    -1.085 |
+#> |.....................|   -0.5246 |   -0.8625 |    -1.068 |   -0.2152 |
+#> |    U|     474.39271 |     91.47 |    -5.364 |   -0.9027 |    -2.199 |
+#> |.....................|    -4.622 |    0.4094 |     1.228 |   0.06101 |
+#> |.....................|    0.8776 |   0.05824 |    0.7923 |    0.7123 |
+#> |.....................|     1.589 |    0.9645 |    0.6958 |     2.005 |
+#> |    X|     474.39271 |     91.47 |  0.004683 |    0.2885 |    0.1109 |
+#> |.....................|  0.009833 |    0.6010 |     1.228 |   0.06101 |
+#> |.....................|    0.8776 |   0.05824 |    0.7923 |    0.7123 |
+#> |.....................|     1.589 |    0.9645 |    0.6958 |     2.005 |
+#> |    F| Forward Diff. |     15.86 |     1.227 |    0.2807 |   -0.1163 |
+#> |.....................|    0.3793 |     1.243 |    -5.494 |     3.329 |
+#> |.....................|  -0.09368 |   0.01293 |   -0.5149 |    -2.407 |
+#> |.....................|     1.979 |     1.686 |    0.3308 |    -2.044 |
+#> |   57|     474.34538 |     1.003 |    -1.165 |   -0.9247 |   -0.9369 |
+#> |.....................|    -1.010 |   -0.9934 |   0.08718 |   -0.7897 |
+#> |.....................|   -0.7601 |   -0.8825 |   -0.7926 |    -1.086 |
+#> |.....................|   -0.5258 |   -0.8620 |    -1.068 |   -0.2141 |
+#> |    U|     474.34538 |     91.27 |    -5.365 |   -0.9027 |    -2.199 |
+#> |.....................|    -4.622 |    0.4089 |     1.229 |   0.06093 |
+#> |.....................|    0.8775 |   0.05824 |    0.7926 |    0.7117 |
+#> |.....................|     1.587 |    0.9650 |    0.6954 |     2.007 |
+#> |    X|     474.34538 |     91.27 |  0.004677 |    0.2885 |    0.1109 |
+#> |.....................|  0.009830 |    0.6008 |     1.229 |   0.06093 |
+#> |.....................|    0.8775 |   0.05824 |    0.7926 |    0.7117 |
+#> |.....................|     1.587 |    0.9650 |    0.6954 |     2.007 |
+#> |    F| Forward Diff. |    -2.345 |     1.210 |   0.04189 |  -0.08986 |
+#> |.....................|    0.3855 |     1.284 |    -5.145 |     3.218 |
+#> |.....................|   -0.1284 |   0.01309 |   -0.7466 |   -0.6536 |
+#> |.....................|     1.964 |     1.743 |    0.3816 |    -2.008 |
+#> |   58|     474.31834 |     1.005 |    -1.166 |   -0.9247 |   -0.9369 |
+#> |.....................|    -1.010 |   -0.9944 |   0.09109 |   -0.7921 |
+#> |.....................|   -0.7600 |   -0.8825 |   -0.7920 |    -1.085 |
+#> |.....................|   -0.5273 |   -0.8633 |    -1.069 |   -0.2126 |
+#> |    U|     474.31834 |     91.43 |    -5.366 |   -0.9027 |    -2.199 |
+#> |.....................|    -4.623 |    0.4085 |     1.231 |   0.06086 |
+#> |.....................|    0.8776 |   0.05824 |    0.7930 |    0.7121 |
+#> |.....................|     1.586 |    0.9638 |    0.6952 |     2.008 |
+#> |    X|     474.31834 |     91.43 |  0.004673 |    0.2885 |    0.1109 |
+#> |.....................|  0.009827 |    0.6007 |     1.231 |   0.06086 |
+#> |.....................|    0.8776 |   0.05824 |    0.7930 |    0.7121 |
+#> |.....................|     1.586 |    0.9638 |    0.6952 |     2.008 |
+#> |    F| Forward Diff. |     12.13 |     1.219 |    0.2312 |   -0.1125 |
+#> |.....................|    0.3787 |     1.238 |    -5.317 |     3.196 |
+#> |.....................|  -0.08361 |  -0.02599 |   -0.7000 |   -0.4940 |
+#> |.....................|     1.837 |     1.637 |    0.3211 |    -2.028 |
+#> |   59|     474.27833 |     1.003 |    -1.167 |   -0.9247 |   -0.9368 |
+#> |.....................|    -1.010 |   -0.9955 |   0.09487 |   -0.7949 |
+#> |.....................|   -0.7601 |   -0.8825 |   -0.7915 |    -1.086 |
+#> |.....................|   -0.5286 |   -0.8630 |    -1.069 |   -0.2114 |
+#> |    U|     474.27833 |     91.25 |    -5.367 |   -0.9028 |    -2.199 |
+#> |.....................|    -4.623 |    0.4080 |     1.232 |   0.06078 |
+#> |.....................|    0.8775 |   0.05824 |    0.7934 |    0.7111 |
+#> |.....................|     1.584 |    0.9640 |    0.6948 |     2.010 |
+#> |    X|     474.27833 |     91.25 |  0.004668 |    0.2885 |    0.1109 |
+#> |.....................|  0.009824 |    0.6006 |     1.232 |   0.06078 |
+#> |.....................|    0.8775 |   0.05824 |    0.7934 |    0.7111 |
+#> |.....................|     1.584 |    0.9640 |    0.6948 |     2.010 |
+#> |    F| Forward Diff. |    -4.145 |     1.202 |   0.02355 |  -0.08919 |
+#> |.....................|    0.3842 |     1.275 |    -5.102 |     3.189 |
+#> |.....................|   -0.1071 |   0.01700 |   -0.7283 |   -0.7209 |
+#> |.....................|     1.776 |     1.686 |    0.3249 |    -1.982 |
+#> |   60|     474.25305 |     1.005 |    -1.168 |   -0.9247 |   -0.9367 |
+#> |.....................|    -1.011 |   -0.9965 |   0.09878 |   -0.7975 |
+#> |.....................|   -0.7601 |   -0.8825 |   -0.7909 |    -1.086 |
+#> |.....................|   -0.5300 |   -0.8636 |    -1.069 |   -0.2100 |
+#> |    U|     474.25305 |     91.44 |    -5.368 |   -0.9028 |    -2.199 |
+#> |.....................|    -4.623 |    0.4075 |     1.234 |   0.06070 |
+#> |.....................|    0.8775 |   0.05824 |    0.7938 |    0.7109 |
+#> |.....................|     1.583 |    0.9635 |    0.6946 |     2.012 |
+#> |    X|     474.25305 |     91.44 |  0.004663 |    0.2885 |    0.1109 |
+#> |.....................|  0.009821 |    0.6005 |     1.234 |   0.06070 |
+#> |.....................|    0.8775 |   0.05824 |    0.7938 |    0.7109 |
+#> |.....................|     1.583 |    0.9635 |    0.6946 |     2.012 |
+#> |    F| Forward Diff. |     13.11 |     1.213 |    0.2527 |   -0.1161 |
+#> |.....................|    0.3767 |     1.219 |    -5.003 |     3.213 |
+#> |.....................|  -0.09270 |  -0.04298 |   -0.4814 |    -2.533 |
+#> |.....................|     1.730 |     1.613 |    0.2495 |    -2.014 |
+#> |   61|     474.21254 |     1.003 |    -1.169 |   -0.9248 |   -0.9365 |
+#> |.....................|    -1.011 |   -0.9977 |    0.1025 |   -0.8005 |
+#> |.....................|   -0.7602 |   -0.8824 |   -0.7906 |    -1.087 |
+#> |.....................|   -0.5311 |   -0.8630 |    -1.070 |   -0.2089 |
+#> |    U|     474.21254 |     91.24 |    -5.369 |   -0.9028 |    -2.199 |
+#> |.....................|    -4.624 |    0.4069 |     1.236 |   0.06062 |
+#> |.....................|    0.8775 |   0.05824 |    0.7941 |    0.7105 |
+#> |.....................|     1.581 |    0.9641 |    0.6942 |     2.013 |
+#> |    X|     474.21254 |     91.24 |  0.004658 |    0.2885 |    0.1109 |
+#> |.....................|  0.009817 |    0.6003 |     1.236 |   0.06062 |
+#> |.....................|    0.8775 |   0.05824 |    0.7941 |    0.7105 |
+#> |.....................|     1.581 |    0.9641 |    0.6942 |     2.013 |
+#> |    F| Forward Diff. |    -5.267 |     1.195 |   0.01760 |  -0.08987 |
+#> |.....................|    0.3825 |     1.260 |    -5.272 |     3.141 |
+#> |.....................|   -0.1336 |  0.009843 |   -0.5186 |    -2.706 |
+#> |.....................|     1.727 |     1.652 |    0.2904 |    -1.976 |
+#> |   62|     474.18171 |     1.004 |    -1.170 |   -0.9247 |   -0.9364 |
+#> |.....................|    -1.011 |   -0.9989 |    0.1065 |   -0.8033 |
+#> |.....................|   -0.7602 |   -0.8823 |   -0.7904 |    -1.086 |
+#> |.....................|   -0.5322 |   -0.8627 |    -1.070 |   -0.2078 |
+#> |    U|     474.18171 |     91.41 |    -5.370 |   -0.9028 |    -2.199 |
+#> |.....................|    -4.624 |    0.4064 |     1.237 |   0.06054 |
+#> |.....................|    0.8775 |   0.05824 |    0.7942 |    0.7112 |
+#> |.....................|     1.580 |    0.9644 |    0.6939 |     2.014 |
+#> |    X|     474.18171 |     91.41 |  0.004653 |    0.2885 |    0.1109 |
+#> |.....................|  0.009814 |    0.6002 |     1.237 |   0.06054 |
+#> |.....................|    0.8775 |   0.05824 |    0.7942 |    0.7112 |
+#> |.....................|     1.580 |    0.9644 |    0.6939 |     2.014 |
+#> |    F| Forward Diff. |     9.716 |     1.206 |    0.2113 |   -0.1128 |
+#> |.....................|    0.3755 |     1.207 |    -5.399 |     3.226 |
+#> |.....................|  -0.09670 |  -0.03459 |   -0.6713 |   -0.5638 |
+#> |.....................|     1.619 |     1.687 |    0.2005 |    -1.998 |
+#> |   63|     474.14509 |     1.003 |    -1.171 |   -0.9248 |   -0.9363 |
+#> |.....................|    -1.012 |    -1.000 |    0.1105 |   -0.8061 |
+#> |.....................|   -0.7602 |   -0.8822 |   -0.7900 |    -1.087 |
+#> |.....................|   -0.5333 |   -0.8621 |    -1.071 |   -0.2068 |
+#> |    U|     474.14509 |     91.25 |    -5.371 |   -0.9028 |    -2.199 |
+#> |.....................|    -4.624 |    0.4059 |     1.239 |   0.06045 |
+#> |.....................|    0.8775 |   0.05825 |    0.7945 |    0.7106 |
+#> |.....................|     1.579 |    0.9649 |    0.6936 |     2.015 |
+#> |    X|     474.14509 |     91.25 |  0.004648 |    0.2885 |    0.1110 |
+#> |.....................|  0.009811 |    0.6001 |     1.239 |   0.06045 |
+#> |.....................|    0.8775 |   0.05825 |    0.7945 |    0.7106 |
+#> |.....................|     1.579 |    0.9649 |    0.6936 |     2.015 |
+#> |    F| Forward Diff. |    -5.280 |     1.192 |   0.02321 |  -0.09129 |
+#> |.....................|    0.3799 |     1.239 |    -5.339 |     3.156 |
+#> |.....................|   -0.1074 |   0.06181 |   -0.4875 |    -2.680 |
+#> |.....................|     1.648 |     1.743 |    0.2195 |    -1.955 |
+#> |   64|     474.11542 |     1.005 |    -1.172 |   -0.9248 |   -0.9361 |
+#> |.....................|    -1.012 |    -1.001 |    0.1146 |   -0.8089 |
+#> |.....................|   -0.7603 |   -0.8821 |   -0.7897 |    -1.086 |
+#> |.....................|   -0.5344 |   -0.8621 |    -1.071 |   -0.2057 |
+#> |    U|     474.11542 |     91.42 |    -5.372 |   -0.9028 |    -2.199 |
+#> |.....................|    -4.625 |    0.4054 |     1.241 |   0.06037 |
+#> |.....................|    0.8774 |   0.05825 |    0.7947 |    0.7110 |
+#> |.....................|     1.577 |    0.9649 |    0.6934 |     2.017 |
+#> |    X|     474.11542 |     91.42 |  0.004643 |    0.2885 |    0.1110 |
+#> |.....................|  0.009807 |    0.6000 |     1.241 |   0.06037 |
+#> |.....................|    0.8774 |   0.05825 |    0.7947 |    0.7110 |
+#> |.....................|     1.577 |    0.9649 |    0.6934 |     2.017 |
+#> |    F| Forward Diff. |     10.52 |     1.202 |    0.2258 |   -0.1162 |
+#> |.....................|    0.3725 |     1.186 |    -5.381 |     3.222 |
+#> |.....................|   -0.1104 |  -0.04157 |   -0.6550 |   -0.5841 |
+#> |.....................|     1.505 |     1.701 |    0.1753 |    -1.993 |
+#> |   65|     474.07794 |     1.003 |    -1.173 |   -0.9248 |   -0.9360 |
+#> |.....................|    -1.012 |    -1.002 |    0.1187 |   -0.8117 |
+#> |.....................|   -0.7604 |   -0.8821 |   -0.7895 |    -1.087 |
+#> |.....................|   -0.5355 |   -0.8615 |    -1.071 |   -0.2048 |
+#> |    U|     474.07794 |     91.25 |    -5.373 |   -0.9028 |    -2.198 |
+#> |.....................|    -4.625 |    0.4048 |     1.242 |   0.06029 |
+#> |.....................|    0.8774 |   0.05825 |    0.7949 |    0.7104 |
+#> |.....................|     1.576 |    0.9655 |    0.6932 |     2.018 |
+#> |    X|     474.07794 |     91.25 |  0.004638 |    0.2885 |    0.1110 |
+#> |.....................|  0.009804 |    0.5999 |     1.242 |   0.06029 |
+#> |.....................|    0.8774 |   0.05825 |    0.7949 |    0.7104 |
+#> |.....................|     1.576 |    0.9655 |    0.6932 |     2.018 |
+#> |    F| Forward Diff. |    -4.801 |     1.188 |   0.03689 |  -0.09236 |
+#> |.....................|    0.3785 |     1.221 |    -5.368 |     3.104 |
+#> |.....................|   -0.1066 |  0.003449 |   -0.6711 |   -0.7398 |
+#> |.....................|     1.563 |     1.803 |    0.1884 |    -1.939 |
+#> |   66|     474.04951 |     1.005 |    -1.175 |   -0.9248 |   -0.9359 |
+#> |.....................|    -1.013 |    -1.003 |    0.1228 |   -0.8144 |
+#> |.....................|   -0.7604 |   -0.8820 |   -0.7890 |    -1.087 |
+#> |.....................|   -0.5367 |   -0.8618 |    -1.071 |   -0.2036 |
+#> |    U|     474.04951 |     91.43 |    -5.375 |   -0.9028 |    -2.198 |
+#> |.....................|    -4.625 |    0.4044 |     1.244 |   0.06021 |
+#> |.....................|    0.8774 |   0.05825 |    0.7952 |    0.7100 |
+#> |.....................|     1.575 |    0.9652 |    0.6930 |     2.019 |
+#> |    X|     474.04951 |     91.43 |  0.004633 |    0.2885 |    0.1110 |
+#> |.....................|  0.009801 |    0.5997 |     1.244 |   0.06021 |
+#> |.....................|    0.8774 |   0.05825 |    0.7952 |    0.7100 |
+#> |.....................|     1.575 |    0.9652 |    0.6930 |     2.019 |
+#> |    F| Forward Diff. |     10.86 |     1.196 |    0.2377 |   -0.1190 |
+#> |.....................|    0.3700 |     1.169 |    -5.399 |     3.259 |
+#> |.....................|  -0.09645 |  -0.03914 |   -0.4400 |    -2.610 |
+#> |.....................|     1.421 |     1.705 |    0.1351 |    -1.978 |
+#> |   67|     474.01246 |     1.003 |    -1.176 |   -0.9249 |   -0.9357 |
+#> |.....................|    -1.013 |    -1.004 |    0.1268 |   -0.8173 |
+#> |.....................|   -0.7606 |   -0.8819 |   -0.7888 |    -1.088 |
+#> |.....................|   -0.5377 |   -0.8613 |    -1.072 |   -0.2028 |
+#> |    U|     474.01246 |     91.25 |    -5.376 |   -0.9029 |    -2.198 |
+#> |.....................|    -4.626 |    0.4039 |     1.246 |   0.06013 |
+#> |.....................|    0.8773 |   0.05825 |    0.7954 |    0.7098 |
+#> |.....................|     1.573 |    0.9657 |    0.6927 |     2.020 |
+#> |    X|     474.01246 |     91.25 |  0.004628 |    0.2885 |    0.1110 |
+#> |.....................|  0.009798 |    0.5996 |     1.246 |   0.06013 |
+#> |.....................|    0.8773 |   0.05825 |    0.7954 |    0.7098 |
+#> |.....................|     1.573 |    0.9657 |    0.6927 |     2.020 |
+#> |    F| Forward Diff. |    -5.724 |     1.179 |   0.03043 |  -0.09493 |
+#> |.....................|    0.3750 |     1.206 |    -5.283 |     3.092 |
+#> |.....................|  -0.09863 |  -0.01543 |   -0.6573 |   -0.7980 |
+#> |.....................|     1.377 |     1.778 |    0.1578 |    -1.944 |
+#> |   68|     473.98155 |     1.005 |    -1.177 |   -0.9249 |   -0.9356 |
+#> |.....................|    -1.013 |    -1.005 |    0.1310 |   -0.8202 |
+#> |.....................|   -0.7607 |   -0.8818 |   -0.7885 |    -1.088 |
+#> |.....................|   -0.5387 |   -0.8611 |    -1.072 |   -0.2018 |
+#> |    U|     473.98155 |     91.42 |    -5.377 |   -0.9029 |    -2.198 |
+#> |.....................|    -4.626 |    0.4034 |     1.247 |   0.06004 |
+#> |.....................|    0.8773 |   0.05826 |    0.7956 |    0.7095 |
+#> |.....................|     1.572 |    0.9659 |    0.6925 |     2.022 |
+#> |    X|     473.98155 |     91.42 |  0.004623 |    0.2885 |    0.1110 |
+#> |.....................|  0.009794 |    0.5995 |     1.247 |   0.06004 |
+#> |.....................|    0.8773 |   0.05826 |    0.7956 |    0.7095 |
+#> |.....................|     1.572 |    0.9659 |    0.6925 |     2.022 |
+#> |    F| Forward Diff. |     9.125 |     1.189 |    0.2215 |   -0.1183 |
+#> |.....................|    0.3680 |     1.157 |    -5.346 |     3.214 |
+#> |.....................|  -0.06695 |  -0.05805 |   -0.6245 |   -0.6678 |
+#> |.....................|     1.365 |     1.770 |   0.07348 |    -1.960 |
+#> |   69|     473.94647 |     1.003 |    -1.178 |   -0.9250 |   -0.9354 |
+#> |.....................|    -1.014 |    -1.007 |    0.1350 |   -0.8231 |
+#> |.....................|   -0.7608 |   -0.8817 |   -0.7881 |    -1.089 |
+#> |.....................|   -0.5397 |   -0.8608 |    -1.072 |   -0.2009 |
+#> |    U|     473.94647 |     91.26 |    -5.378 |   -0.9030 |    -2.198 |
+#> |.....................|    -4.626 |    0.4029 |     1.249 |   0.05996 |
+#> |.....................|    0.8772 |   0.05826 |    0.7959 |    0.7086 |
+#> |.....................|     1.571 |    0.9661 |    0.6923 |     2.023 |
+#> |    X|     473.94647 |     91.26 |  0.004618 |    0.2884 |    0.1110 |
+#> |.....................|  0.009791 |    0.5994 |     1.249 |   0.05996 |
+#> |.....................|    0.8772 |   0.05826 |    0.7959 |    0.7086 |
+#> |.....................|     1.571 |    0.9661 |    0.6923 |     2.023 |
+#> |    F| Forward Diff. |    -5.271 |     1.174 |   0.04603 |  -0.09766 |
+#> |.....................|    0.3725 |     1.188 |    -5.320 |     3.084 |
+#> |.....................|  -0.09768 |  -0.01918 |   -0.6378 |   -0.8469 |
+#> |.....................|     1.360 |     1.825 |   0.08453 |    -1.920 |
+#> |   70|     473.91708 |     1.005 |    -1.179 |   -0.9250 |   -0.9353 |
+#> |.....................|    -1.014 |    -1.008 |    0.1391 |   -0.8259 |
+#> |.....................|   -0.7609 |   -0.8816 |   -0.7877 |    -1.089 |
+#> |.....................|   -0.5408 |   -0.8610 |    -1.072 |   -0.1999 |
+#> |    U|     473.91708 |     91.43 |    -5.379 |   -0.9030 |    -2.198 |
+#> |.....................|    -4.627 |    0.4024 |     1.251 |   0.05988 |
+#> |.....................|    0.8772 |   0.05826 |    0.7962 |    0.7081 |
+#> |.....................|     1.570 |    0.9660 |    0.6921 |     2.024 |
+#> |    X|     473.91708 |     91.43 |  0.004613 |    0.2884 |    0.1111 |
+#> |.....................|  0.009788 |    0.5993 |     1.251 |   0.05988 |
+#> |.....................|    0.8772 |   0.05826 |    0.7962 |    0.7081 |
+#> |.....................|     1.570 |    0.9660 |    0.6921 |     2.024 |
+#> |    F| Forward Diff. |     9.919 |     1.183 |    0.2388 |   -0.1221 |
+#> |.....................|    0.3649 |     1.138 |    -5.295 |     3.201 |
+#> |.....................|  -0.05759 |  -0.06746 |   -0.6018 |   -0.7458 |
+#> |.....................|     1.218 |     1.797 |   0.02666 |    -1.950 |
+#> |   71|     473.88166 |     1.003 |    -1.180 |   -0.9251 |   -0.9351 |
+#> |.....................|    -1.014 |    -1.009 |    0.1432 |   -0.8289 |
+#> |.....................|   -0.7611 |   -0.8814 |   -0.7874 |    -1.090 |
+#> |.....................|   -0.5418 |   -0.8607 |    -1.072 |   -0.1991 |
+#> |    U|     473.88166 |     91.26 |    -5.380 |   -0.9031 |    -2.198 |
+#> |.....................|    -4.627 |    0.4019 |     1.252 |   0.05979 |
+#> |.....................|    0.8771 |   0.05827 |    0.7964 |    0.7073 |
+#> |.....................|     1.568 |    0.9662 |    0.6919 |     2.025 |
+#> |    X|     473.88166 |     91.26 |  0.004608 |    0.2884 |    0.1111 |
+#> |.....................|  0.009785 |    0.5991 |     1.252 |   0.05979 |
+#> |.....................|    0.8771 |   0.05827 |    0.7964 |    0.7073 |
+#> |.....................|     1.568 |    0.9662 |    0.6919 |     2.025 |
+#> |    F| Forward Diff. |    -5.370 |     1.167 |   0.05346 |  -0.09978 |
+#> |.....................|    0.3701 |     1.174 |    -5.172 |     3.105 |
+#> |.....................|  -0.07011 |  -0.02516 |   -0.4239 |    -2.943 |
+#> |.....................|     1.187 |     1.854 |   0.07395 |    -1.907 |
+#> |   72|     473.85215 |     1.005 |    -1.181 |   -0.9251 |   -0.9350 |
+#> |.....................|    -1.015 |    -1.010 |    0.1472 |   -0.8318 |
+#> |.....................|   -0.7612 |   -0.8813 |   -0.7872 |    -1.090 |
+#> |.....................|   -0.5427 |   -0.8608 |    -1.073 |   -0.1983 |
+#> |    U|     473.85215 |     91.44 |    -5.381 |   -0.9031 |    -2.197 |
+#> |.....................|    -4.627 |    0.4014 |     1.254 |   0.05971 |
+#> |.....................|    0.8771 |   0.05827 |    0.7965 |    0.7078 |
+#> |.....................|     1.567 |    0.9662 |    0.6918 |     2.026 |
+#> |    X|     473.85215 |     91.44 |  0.004603 |    0.2884 |    0.1111 |
+#> |.....................|  0.009781 |    0.5990 |     1.254 |   0.05971 |
+#> |.....................|    0.8771 |   0.05827 |    0.7965 |    0.7078 |
+#> |.....................|     1.567 |    0.9662 |    0.6918 |     2.026 |
+#> |    F| Forward Diff. |     10.42 |     1.179 |    0.2474 |   -0.1240 |
+#> |.....................|    0.3627 |     1.120 |    -5.345 |     3.221 |
+#> |.....................|  -0.07960 |  -0.04998 |   -0.3836 |    -2.755 |
+#> |.....................|     1.094 |     1.797 |  -0.01014 |    -1.939 |
+#> |   73|     473.81514 |     1.003 |    -1.182 |   -0.9251 |   -0.9348 |
+#> |.....................|    -1.015 |    -1.011 |    0.1513 |   -0.8349 |
+#> |.....................|   -0.7614 |   -0.8810 |   -0.7873 |    -1.089 |
+#> |.....................|   -0.5432 |   -0.8601 |    -1.073 |   -0.1979 |
+#> |    U|     473.81514 |     91.27 |    -5.382 |   -0.9031 |    -2.197 |
+#> |.....................|    -4.628 |    0.4008 |     1.256 |   0.05962 |
+#> |.....................|    0.8770 |   0.05828 |    0.7964 |    0.7084 |
+#> |.....................|     1.567 |    0.9669 |    0.6916 |     2.026 |
+#> |    X|     473.81514 |     91.27 |  0.004598 |    0.2884 |    0.1111 |
+#> |.....................|  0.009778 |    0.5989 |     1.256 |   0.05962 |
+#> |.....................|    0.8770 |   0.05828 |    0.7964 |    0.7084 |
+#> |.....................|     1.567 |    0.9669 |    0.6916 |     2.026 |
+#> |    F| Forward Diff. |    -4.811 |     1.166 |   0.05684 |   -0.1019 |
+#> |.....................|    0.3663 |     1.150 |    -5.276 |     3.057 |
+#> |.....................|  -0.06818 |  -0.03474 |   -0.4125 |    -2.836 |
+#> |.....................|     1.158 |     1.851 |   0.03258 |    -1.914 |
+#> |   74|     473.78884 |     1.005 |    -1.183 |   -0.9252 |   -0.9346 |
+#> |.....................|    -1.015 |    -1.012 |    0.1554 |   -0.8377 |
+#> |.....................|   -0.7615 |   -0.8808 |   -0.7873 |    -1.088 |
+#> |.....................|   -0.5439 |   -0.8602 |    -1.073 |   -0.1971 |
+#> |    U|     473.78884 |     91.46 |    -5.383 |   -0.9031 |    -2.197 |
+#> |.....................|    -4.628 |    0.4003 |     1.257 |   0.05954 |
+#> |.....................|    0.8770 |   0.05829 |    0.7965 |    0.7095 |
+#> |.....................|     1.566 |    0.9667 |    0.6915 |     2.027 |
+#> |    X|     473.78884 |     91.46 |  0.004593 |    0.2884 |    0.1111 |
+#> |.....................|  0.009775 |    0.5988 |     1.257 |   0.05954 |
+#> |.....................|    0.8770 |   0.05829 |    0.7965 |    0.7095 |
+#> |.....................|     1.566 |    0.9667 |    0.6915 |     2.027 |
+#> |    F| Forward Diff. |     12.26 |     1.178 |    0.2628 |   -0.1282 |
+#> |.....................|    0.3579 |     1.094 |    -5.180 |     3.234 |
+#> |.....................|  -0.08932 |  -0.09780 |   -0.5652 |   -0.6340 |
+#> |.....................|     1.031 |     1.841 |  -0.06209 |    -1.938 |
+#> |   75|     473.75065 |     1.003 |    -1.184 |   -0.9252 |   -0.9344 |
+#> |.....................|    -1.016 |    -1.013 |    0.1594 |   -0.8407 |
+#> |.....................|   -0.7617 |   -0.8806 |   -0.7872 |    -1.088 |
+#> |.....................|   -0.5446 |   -0.8597 |    -1.073 |   -0.1966 |
+#> |    U|     473.75065 |     91.27 |    -5.384 |   -0.9032 |    -2.197 |
+#> |.....................|    -4.628 |    0.3998 |     1.259 |   0.05945 |
+#> |.....................|    0.8769 |   0.05829 |    0.7965 |    0.7092 |
+#> |.....................|     1.565 |    0.9672 |    0.6914 |     2.028 |
+#> |    X|     473.75065 |     91.27 |  0.004588 |    0.2884 |    0.1112 |
+#> |.....................|  0.009772 |    0.5986 |     1.259 |   0.05945 |
+#> |.....................|    0.8769 |   0.05829 |    0.7965 |    0.7092 |
+#> |.....................|     1.565 |    0.9672 |    0.6914 |     2.028 |
+#> |    F| Forward Diff. |    -5.250 |     1.164 |   0.05078 |   -0.1019 |
+#> |.....................|    0.3635 |     1.132 |    -5.308 |     3.057 |
+#> |.....................|  -0.09569 |  -0.05602 |   -0.5891 |   -0.8121 |
+#> |.....................|     1.074 |     1.883 |  0.002586 |    -1.906 |
+#> |   76|     473.72028 |     1.005 |    -1.185 |   -0.9252 |   -0.9343 |
+#> |.....................|    -1.016 |    -1.014 |    0.1635 |   -0.8437 |
+#> |.....................|   -0.7618 |   -0.8804 |   -0.7870 |    -1.089 |
+#> |.....................|   -0.5455 |   -0.8599 |    -1.073 |   -0.1958 |
+#> |    U|     473.72028 |     91.43 |    -5.385 |   -0.9032 |    -2.197 |
+#> |.....................|    -4.629 |    0.3993 |     1.261 |   0.05936 |
+#> |.....................|    0.8768 |   0.05830 |    0.7967 |    0.7088 |
+#> |.....................|     1.564 |    0.9671 |    0.6912 |     2.029 |
+#> |    X|     473.72028 |     91.43 |  0.004583 |    0.2884 |    0.1112 |
+#> |.....................|  0.009768 |    0.5985 |     1.261 |   0.05936 |
+#> |.....................|    0.8768 |   0.05830 |    0.7967 |    0.7088 |
+#> |.....................|     1.564 |    0.9671 |    0.6912 |     2.029 |
+#> |    F| Forward Diff. |     8.975 |     1.171 |    0.2290 |   -0.1246 |
+#> |.....................|    0.3563 |     1.085 |    -5.320 |     3.173 |
+#> |.....................|  -0.08707 |   -0.1016 |   -0.5561 |   -0.7117 |
+#> |.....................|    0.9536 |     1.850 |  -0.07963 |    -1.922 |
+#> |   77|     473.68600 |     1.003 |    -1.186 |   -0.9253 |   -0.9341 |
+#> |.....................|    -1.016 |    -1.015 |    0.1676 |   -0.8467 |
+#> |.....................|   -0.7620 |   -0.8801 |   -0.7868 |    -1.089 |
+#> |.....................|   -0.5463 |   -0.8596 |    -1.073 |   -0.1952 |
+#> |    U|       473.686 |     91.28 |    -5.386 |   -0.9033 |    -2.196 |
+#> |.....................|    -4.629 |    0.3989 |     1.263 |   0.05928 |
+#> |.....................|    0.8768 |   0.05831 |    0.7968 |    0.7081 |
+#> |.....................|     1.563 |    0.9673 |    0.6911 |     2.030 |
+#> |    X|       473.686 |     91.28 |  0.004578 |    0.2884 |    0.1112 |
+#> |.....................|  0.009765 |    0.5984 |     1.263 |   0.05928 |
+#> |.....................|    0.8768 |   0.05831 |    0.7968 |    0.7081 |
+#> |.....................|     1.563 |    0.9673 |    0.6911 |     2.030 |
+#> |    F| Forward Diff. |    -5.608 |     1.155 |   0.05506 |   -0.1036 |
+#> |.....................|    0.3607 |     1.118 |    -5.212 |     3.031 |
+#> |.....................|  -0.08611 |  -0.04336 |   -0.3798 |    -2.808 |
+#> |.....................|     1.093 |     1.880 |  -0.02731 |    -1.896 |
+#> |   78|     473.65599 |     1.005 |    -1.188 |   -0.9253 |   -0.9339 |
+#> |.....................|    -1.017 |    -1.016 |    0.1718 |   -0.8497 |
+#> |.....................|   -0.7621 |   -0.8799 |   -0.7868 |    -1.089 |
+#> |.....................|   -0.5471 |   -0.8595 |    -1.074 |   -0.1946 |
+#> |    U|     473.65599 |     91.44 |    -5.388 |   -0.9033 |    -2.196 |
+#> |.....................|    -4.629 |    0.3984 |     1.264 |   0.05919 |
+#> |.....................|    0.8767 |   0.05831 |    0.7968 |    0.7087 |
+#> |.....................|     1.562 |    0.9674 |    0.6910 |     2.030 |
+#> |    X|     473.65599 |     91.44 |  0.004573 |    0.2884 |    0.1112 |
+#> |.....................|  0.009762 |    0.5983 |     1.264 |   0.05919 |
+#> |.....................|    0.8767 |   0.05831 |    0.7968 |    0.7087 |
+#> |.....................|     1.562 |    0.9674 |    0.6910 |     2.030 |
+#> |    F| Forward Diff. |     9.720 |     1.170 |    0.2444 |   -0.1229 |
+#> |.....................|    0.3557 |     1.067 |    -5.275 |     3.173 |
+#> |.....................|  -0.07850 |   -0.1042 |   -0.5348 |   -0.6844 |
+#> |.....................|    0.9479 |     1.915 |   -0.1018 |    -1.917 |
+#> |   79|     473.62083 |     1.003 |    -1.189 |   -0.9254 |   -0.9337 |
+#> |.....................|    -1.017 |    -1.017 |    0.1759 |   -0.8528 |
+#> |.....................|   -0.7623 |   -0.8795 |   -0.7869 |    -1.089 |
+#> |.....................|   -0.5477 |   -0.8591 |    -1.074 |   -0.1942 |
+#> |    U|     473.62083 |     91.28 |    -5.389 |   -0.9033 |    -2.196 |
+#> |.....................|    -4.630 |    0.3979 |     1.266 |   0.05910 |
+#> |.....................|    0.8766 |   0.05832 |    0.7968 |    0.7085 |
+#> |.....................|     1.562 |    0.9678 |    0.6909 |     2.031 |
+#> |    X|     473.62083 |     91.28 |  0.004568 |    0.2884 |    0.1112 |
+#> |.....................|  0.009758 |    0.5982 |     1.266 |   0.05910 |
+#> |.....................|    0.8766 |   0.05832 |    0.7968 |    0.7085 |
+#> |.....................|     1.562 |    0.9678 |    0.6909 |     2.031 |
+#> |    F| Forward Diff. |    -5.323 |     1.153 |   0.05982 |   -0.1053 |
+#> |.....................|    0.3572 |     1.098 |    -4.702 |     3.058 |
+#> |.....................|   -0.1117 |  -0.04281 |   -0.5573 |   -0.7999 |
+#> |.....................|     1.039 |     1.912 |  -0.05974 |    -1.890 |
+#> |   80|     473.59326 |     1.005 |    -1.190 |   -0.9254 |   -0.9335 |
+#> |.....................|    -1.018 |    -1.019 |    0.1798 |   -0.8560 |
+#> |.....................|   -0.7624 |   -0.8793 |   -0.7867 |    -1.090 |
+#> |.....................|   -0.5486 |   -0.8595 |    -1.074 |   -0.1934 |
+#> |    U|     473.59326 |     91.46 |    -5.390 |   -0.9034 |    -2.196 |
+#> |.....................|    -4.630 |    0.3974 |     1.268 |   0.05901 |
+#> |.....................|    0.8766 |   0.05833 |    0.7969 |    0.7081 |
+#> |.....................|     1.560 |    0.9674 |    0.6908 |     2.032 |
+#> |    X|     473.59326 |     91.46 |  0.004562 |    0.2884 |    0.1113 |
+#> |.....................|  0.009755 |    0.5981 |     1.268 |   0.05901 |
+#> |.....................|    0.8766 |   0.05833 |    0.7969 |    0.7081 |
+#> |.....................|     1.560 |    0.9674 |    0.6908 |     2.032 |
+#> |    F| Forward Diff. |     11.25 |     1.162 |    0.2586 |   -0.1299 |
+#> |.....................|    0.3499 |     1.048 |    -5.229 |     3.126 |
+#> |.....................|  -0.05642 |  -0.09930 |   -0.3252 |    -2.718 |
+#> |.....................|    0.8202 |     1.876 |   -0.1477 |    -1.910 |
+#> |   81|     473.55541 |     1.003 |    -1.191 |   -0.9255 |   -0.9333 |
+#> |.....................|    -1.018 |    -1.020 |    0.1836 |   -0.8595 |
+#> |.....................|   -0.7626 |   -0.8789 |   -0.7868 |    -1.090 |
+#> |.....................|   -0.5492 |   -0.8592 |    -1.074 |   -0.1932 |
+#> |    U|     473.55541 |     91.31 |    -5.391 |   -0.9034 |    -2.196 |
+#> |.....................|    -4.630 |    0.3968 |     1.269 |   0.05891 |
+#> |.....................|    0.8765 |   0.05834 |    0.7968 |    0.7080 |
+#> |.....................|     1.560 |    0.9677 |    0.6906 |     2.032 |
+#> |    X|     473.55541 |     91.31 |  0.004557 |    0.2883 |    0.1113 |
+#> |.....................|  0.009751 |    0.5979 |     1.269 |   0.05891 |
+#> |.....................|    0.8765 |   0.05834 |    0.7968 |    0.7080 |
+#> |.....................|     1.560 |    0.9677 |    0.6906 |     2.032 |
+#> |    F| Forward Diff. |    -3.062 |     1.149 |   0.09224 |   -0.1103 |
+#> |.....................|    0.3525 |     1.070 |    -5.098 |     2.994 |
+#> |.....................|   -0.1095 |  -0.04877 |   -0.3504 |    -2.828 |
+#> |.....................|    0.8255 |     1.898 |   -0.1147 |    -1.889 |
+#> |   82|     473.53708 |     1.006 |    -1.192 |   -0.9256 |   -0.9332 |
+#> |.....................|    -1.018 |    -1.021 |    0.1873 |   -0.8616 |
+#> |.....................|   -0.7625 |   -0.8789 |   -0.7866 |    -1.087 |
+#> |.....................|   -0.5498 |   -0.8606 |    -1.074 |   -0.1918 |
+#> |    U|     473.53708 |     91.52 |    -5.392 |   -0.9035 |    -2.196 |
+#> |.....................|    -4.631 |    0.3964 |     1.271 |   0.05884 |
+#> |.....................|    0.8765 |   0.05834 |    0.7970 |    0.7099 |
+#> |.....................|     1.559 |    0.9664 |    0.6907 |     2.034 |
+#> |    X|     473.53708 |     91.52 |  0.004553 |    0.2883 |    0.1113 |
+#> |.....................|  0.009749 |    0.5978 |     1.271 |   0.05884 |
+#> |.....................|    0.8765 |   0.05834 |    0.7970 |    0.7099 |
+#> |.....................|     1.559 |    0.9664 |    0.6907 |     2.034 |
+#> |    F| Forward Diff. |     16.25 |     1.165 |    0.3077 |   -0.1378 |
+#> |.....................|    0.3448 |     1.019 |    -5.264 |     3.150 |
+#> |.....................|  -0.09278 |   -0.1366 |   -0.2969 |    -2.557 |
+#> |.....................|    0.7485 |     1.781 |   -0.1828 |    -1.909 |
+#> |   83|     473.49312 |     1.003 |    -1.193 |   -0.9256 |   -0.9329 |
+#> |.....................|    -1.018 |    -1.022 |    0.1912 |   -0.8647 |
+#> |.....................|   -0.7626 |   -0.8785 |   -0.7869 |    -1.087 |
+#> |.....................|   -0.5501 |   -0.8598 |    -1.074 |   -0.1918 |
+#> |    U|     473.49312 |     91.32 |    -5.393 |   -0.9035 |    -2.195 |
+#> |.....................|    -4.631 |    0.3959 |     1.272 |   0.05875 |
+#> |.....................|    0.8765 |   0.05835 |    0.7967 |    0.7106 |
+#> |.....................|     1.559 |    0.9671 |    0.6906 |     2.034 |
+#> |    X|     473.49312 |     91.32 |  0.004547 |    0.2883 |    0.1113 |
+#> |.....................|  0.009745 |    0.5977 |     1.272 |   0.05875 |
+#> |.....................|    0.8765 |   0.05835 |    0.7967 |    0.7106 |
+#> |.....................|     1.559 |    0.9671 |    0.6906 |     2.034 |
+#> |    F| Forward Diff. |    -2.793 |     1.150 |   0.08391 |   -0.1095 |
+#> |.....................|    0.3500 |     1.057 |    -5.154 |     2.847 |
+#> |.....................|  -0.07414 |  -0.06025 |   -0.5244 |   -0.6779 |
+#> |.....................|    0.8291 |     1.867 |   -0.1201 |    -1.880 |
+#> |   84|     473.47390 |     1.006 |    -1.194 |   -0.9256 |   -0.9329 |
+#> |.....................|    -1.019 |    -1.022 |    0.1953 |   -0.8670 |
+#> |.....................|   -0.7626 |   -0.8785 |   -0.7865 |    -1.086 |
+#> |.....................|   -0.5507 |   -0.8613 |    -1.074 |   -0.1903 |
+#> |    U|      473.4739 |     91.52 |    -5.394 |   -0.9036 |    -2.195 |
+#> |.....................|    -4.631 |    0.3955 |     1.274 |   0.05869 |
+#> |.....................|    0.8765 |   0.05835 |    0.7970 |    0.7110 |
+#> |.....................|     1.558 |    0.9657 |    0.6907 |     2.036 |
+#> |    X|      473.4739 |     91.52 |  0.004543 |    0.2883 |    0.1113 |
+#> |.....................|  0.009743 |    0.5976 |     1.274 |   0.05869 |
+#> |.....................|    0.8765 |   0.05835 |    0.7970 |    0.7110 |
+#> |.....................|     1.558 |    0.9657 |    0.6907 |     2.036 |
+#> |    F| Forward Diff. |     15.82 |     1.163 |    0.3026 |   -0.1376 |
+#> |.....................|    0.3423 |     1.007 |    -4.821 |     3.176 |
+#> |.....................|  -0.06207 |   -0.1161 |   -0.4712 |   -0.4774 |
+#> |.....................|    0.7015 |     1.725 |   -0.1877 |    -1.896 |
+#> |   85|     473.43080 |     1.003 |    -1.195 |   -0.9257 |   -0.9326 |
+#> |.....................|    -1.019 |    -1.024 |    0.1991 |   -0.8700 |
+#> |.....................|   -0.7628 |   -0.8781 |   -0.7866 |    -1.087 |
+#> |.....................|   -0.5513 |   -0.8608 |    -1.074 |   -0.1899 |
+#> |    U|      473.4308 |     91.31 |    -5.395 |   -0.9036 |    -2.195 |
+#> |.....................|    -4.632 |    0.3950 |     1.276 |   0.05860 |
+#> |.....................|    0.8764 |   0.05836 |    0.7970 |    0.7105 |
+#> |.....................|     1.557 |    0.9662 |    0.6906 |     2.036 |
+#> |    X|      473.4308 |     91.31 |  0.004538 |    0.2883 |    0.1114 |
+#> |.....................|  0.009739 |    0.5975 |     1.276 |   0.05860 |
+#> |.....................|    0.8764 |   0.05836 |    0.7970 |    0.7105 |
+#> |.....................|     1.557 |    0.9662 |    0.6906 |     2.036 |
+#> |    F| Forward Diff. |    -3.611 |     1.145 |   0.07564 |   -0.1091 |
+#> |.....................|    0.3478 |     1.048 |    -5.196 |     2.853 |
+#> |.....................|  -0.07176 |  -0.06153 |   -0.5100 |   -0.6862 |
+#> |.....................|    0.7701 |     1.783 |   -0.1204 |    -1.866 |
+#> |   86|     473.40390 |     1.005 |    -1.196 |   -0.9258 |   -0.9324 |
+#> |.....................|    -1.019 |    -1.025 |    0.2034 |   -0.8728 |
+#> |.....................|   -0.7629 |   -0.8779 |   -0.7864 |    -1.087 |
+#> |.....................|   -0.5520 |   -0.8612 |    -1.074 |   -0.1890 |
+#> |    U|      473.4039 |     91.48 |    -5.396 |   -0.9037 |    -2.195 |
+#> |.....................|    -4.632 |    0.3946 |     1.277 |   0.05852 |
+#> |.....................|    0.8764 |   0.05837 |    0.7971 |    0.7105 |
+#> |.....................|     1.556 |    0.9658 |    0.6906 |     2.037 |
+#> |    X|      473.4039 |     91.48 |  0.004533 |    0.2883 |    0.1114 |
+#> |.....................|  0.009736 |    0.5974 |     1.277 |   0.05852 |
+#> |.....................|    0.8764 |   0.05837 |    0.7971 |    0.7105 |
+#> |.....................|     1.556 |    0.9658 |    0.6906 |     2.037 |
+#> |    F| Forward Diff. |     11.82 |     1.154 |    0.2542 |   -0.1321 |
+#> |.....................|    0.3410 |     1.002 |    -5.150 |     3.097 |
+#> |.....................|  -0.04820 |   -0.1059 |   -0.4698 |   -0.5387 |
+#> |.....................|    0.6891 |     1.733 |   -0.1906 |    -1.879 |
+#> |   87|     473.36686 |     1.003 |    -1.198 |   -0.9258 |   -0.9322 |
+#> |.....................|    -1.020 |    -1.026 |    0.2076 |   -0.8758 |
+#> |.....................|   -0.7631 |   -0.8776 |   -0.7865 |    -1.087 |
+#> |.....................|   -0.5525 |   -0.8606 |    -1.074 |   -0.1886 |
+#> |    U|     473.36686 |     91.32 |    -5.398 |   -0.9037 |    -2.195 |
+#> |.....................|    -4.632 |    0.3941 |     1.279 |   0.05843 |
+#> |.....................|    0.8763 |   0.05838 |    0.7970 |    0.7100 |
+#> |.....................|     1.556 |    0.9664 |    0.6905 |     2.038 |
+#> |    X|     473.36686 |     91.32 |  0.004527 |    0.2883 |    0.1114 |
+#> |.....................|  0.009733 |    0.5973 |     1.279 |   0.05843 |
+#> |.....................|    0.8763 |   0.05838 |    0.7970 |    0.7100 |
+#> |.....................|     1.556 |    0.9664 |    0.6905 |     2.038 |
+#> |    F| Forward Diff. |    -3.686 |     1.139 |   0.08028 |   -0.1103 |
+#> |.....................|    0.3450 |     1.034 |    -5.059 |     2.983 |
+#> |.....................|  -0.07022 |  -0.06541 |   -0.4954 |   -0.7148 |
+#> |.....................|    0.6839 |     1.782 |   -0.1353 |    -1.853 |
+#> |   88|     473.34117 |     1.005 |    -1.199 |   -0.9259 |   -0.9321 |
+#> |.....................|    -1.020 |    -1.027 |    0.2118 |   -0.8787 |
+#> |.....................|   -0.7632 |   -0.8774 |   -0.7864 |    -1.087 |
+#> |.....................|   -0.5531 |   -0.8611 |    -1.074 |   -0.1877 |
+#> |    U|     473.34117 |     91.49 |    -5.399 |   -0.9038 |    -2.194 |
+#> |.....................|    -4.633 |    0.3936 |     1.281 |   0.05835 |
+#> |.....................|    0.8763 |   0.05838 |    0.7971 |    0.7100 |
+#> |.....................|     1.555 |    0.9659 |    0.6904 |     2.039 |
+#> |    X|     473.34117 |     91.49 |  0.004522 |    0.2883 |    0.1114 |
+#> |.....................|  0.009730 |    0.5972 |     1.281 |   0.05835 |
+#> |.....................|    0.8763 |   0.05838 |    0.7971 |    0.7100 |
+#> |.....................|     1.555 |    0.9659 |    0.6904 |     2.039 |
+#> |    F| Forward Diff. |     12.62 |     1.149 |    0.2679 |   -0.1346 |
+#> |.....................|    0.3379 |    0.9875 |    -5.147 |     2.965 |
+#> |.....................|  -0.07400 |   -0.1145 |   -0.4542 |   -0.5455 |
+#> |.....................|    0.6283 |     1.734 |   -0.2097 |    -1.869 |
+#> |   89|     473.30326 |     1.004 |    -1.200 |   -0.9259 |   -0.9318 |
+#> |.....................|    -1.020 |    -1.028 |    0.2159 |   -0.8818 |
+#> |.....................|   -0.7634 |   -0.8771 |   -0.7865 |    -1.088 |
+#> |.....................|   -0.5535 |   -0.8604 |    -1.074 |   -0.1874 |
+#> |    U|     473.30326 |     91.32 |    -5.400 |   -0.9038 |    -2.194 |
+#> |.....................|    -4.633 |    0.3932 |     1.283 |   0.05826 |
+#> |.....................|    0.8762 |   0.05839 |    0.7970 |    0.7096 |
+#> |.....................|     1.555 |    0.9665 |    0.6903 |     2.039 |
+#> |    X|     473.30326 |     91.32 |  0.004517 |    0.2883 |    0.1114 |
+#> |.....................|  0.009726 |    0.5970 |     1.283 |   0.05826 |
+#> |.....................|    0.8762 |   0.05839 |    0.7970 |    0.7096 |
+#> |.....................|     1.555 |    0.9665 |    0.6903 |     2.039 |
+#> |    F| Forward Diff. |    -3.609 |     1.134 |   0.08636 |   -0.1114 |
+#> |.....................|    0.3423 |     1.018 |    -5.228 |     2.880 |
+#> |.....................|   -0.1079 |  -0.06580 |   -0.2896 |    -2.686 |
+#> |.....................|    0.6917 |     1.801 |   -0.1599 |    -1.842 |
+#> |   90|     473.27616 |     1.005 |    -1.201 |   -0.9260 |   -0.9316 |
+#> |.....................|    -1.021 |    -1.029 |    0.2202 |   -0.8845 |
+#> |.....................|   -0.7634 |   -0.8768 |   -0.7866 |    -1.087 |
+#> |.....................|   -0.5540 |   -0.8607 |    -1.074 |   -0.1867 |
+#> |    U|     473.27616 |     91.48 |    -5.401 |   -0.9039 |    -2.194 |
+#> |.....................|    -4.633 |    0.3927 |     1.284 |   0.05818 |
+#> |.....................|    0.8762 |   0.05840 |    0.7970 |    0.7107 |
+#> |.....................|     1.554 |    0.9663 |    0.6904 |     2.040 |
+#> |    X|     473.27616 |     91.48 |  0.004512 |    0.2883 |    0.1115 |
+#> |.....................|  0.009723 |    0.5969 |     1.284 |   0.05818 |
+#> |.....................|    0.8762 |   0.05840 |    0.7970 |    0.7107 |
+#> |.....................|     1.554 |    0.9663 |    0.6904 |     2.040 |
+#> |    F| Forward Diff. |     11.44 |     1.145 |    0.2516 |   -0.1333 |
+#> |.....................|    0.3351 |    0.9744 |    -4.753 |     3.090 |
+#> |.....................|  -0.05028 |   -0.1148 |   -0.4450 |   -0.5198 |
+#> |.....................|    0.5573 |     1.743 |   -0.2240 |    -1.858 |
+#> |   91|     473.24283 |     1.003 |    -1.202 |   -0.9260 |   -0.9314 |
+#> |.....................|    -1.021 |    -1.030 |    0.2240 |   -0.8877 |
+#> |.....................|   -0.7636 |   -0.8764 |   -0.7870 |    -1.087 |
+#> |.....................|   -0.5543 |   -0.8601 |    -1.074 |   -0.1866 |
+#> |    U|     473.24283 |     91.29 |    -5.402 |   -0.9039 |    -2.194 |
+#> |.....................|    -4.634 |    0.3922 |     1.286 |   0.05809 |
+#> |.....................|    0.8761 |   0.05841 |    0.7967 |    0.7107 |
+#> |.....................|     1.554 |    0.9668 |    0.6903 |     2.040 |
+#> |    X|     473.24283 |     91.29 |  0.004506 |    0.2882 |    0.1115 |
+#> |.....................|  0.009720 |    0.5968 |     1.286 |   0.05809 |
+#> |.....................|    0.8761 |   0.05841 |    0.7967 |    0.7107 |
+#> |.....................|     1.554 |    0.9668 |    0.6903 |     2.040 |
+#> |    F| Forward Diff. |    -7.383 |     1.129 |   0.03939 |   -0.1057 |
+#> |.....................|    0.3410 |     1.013 |    -4.733 |     2.907 |
+#> |.....................|  -0.07460 |  -0.06623 |   -0.4732 |   -0.6761 |
+#> |.....................|    0.6495 |     1.823 |   -0.1637 |    -1.832 |
+#> |   92|     473.20973 |     1.005 |    -1.204 |   -0.9260 |   -0.9311 |
+#> |.....................|    -1.021 |    -1.031 |    0.2279 |   -0.8912 |
+#> |.....................|   -0.7638 |   -0.8760 |   -0.7872 |    -1.087 |
+#> |.....................|   -0.5548 |   -0.8600 |    -1.075 |   -0.1862 |
+#> |    U|     473.20973 |     91.43 |    -5.404 |   -0.9039 |    -2.193 |
+#> |.....................|    -4.634 |    0.3917 |     1.288 |   0.05799 |
+#> |.....................|    0.8760 |   0.05843 |    0.7966 |    0.7102 |
+#> |.....................|     1.553 |    0.9669 |    0.6900 |     2.040 |
+#> |    X|     473.20973 |     91.43 |  0.004500 |    0.2882 |    0.1115 |
+#> |.....................|  0.009716 |    0.5967 |     1.288 |   0.05799 |
+#> |.....................|    0.8760 |   0.05843 |    0.7966 |    0.7102 |
+#> |.....................|     1.553 |    0.9669 |    0.6900 |     2.040 |
+#> |   93|     473.17178 |     1.005 |    -1.205 |   -0.9261 |   -0.9307 |
+#> |.....................|    -1.022 |    -1.032 |    0.2326 |   -0.8959 |
+#> |.....................|   -0.7641 |   -0.8754 |   -0.7876 |    -1.088 |
+#> |.....................|   -0.5554 |   -0.8593 |    -1.075 |   -0.1863 |
+#> |    U|     473.17178 |     91.43 |    -5.405 |   -0.9040 |    -2.193 |
+#> |.....................|    -4.634 |    0.3910 |     1.289 |   0.05785 |
+#> |.....................|    0.8759 |   0.05844 |    0.7963 |    0.7092 |
+#> |.....................|     1.552 |    0.9676 |    0.6896 |     2.040 |
+#> |    X|     473.17178 |     91.43 |  0.004492 |    0.2882 |    0.1116 |
+#> |.....................|  0.009711 |    0.5965 |     1.289 |   0.05785 |
+#> |.....................|    0.8759 |   0.05844 |    0.7963 |    0.7092 |
+#> |.....................|     1.552 |    0.9676 |    0.6896 |     2.040 |
+#> |   94|     472.97479 |     1.005 |    -1.215 |   -0.9262 |   -0.9287 |
+#> |.....................|    -1.025 |    -1.041 |    0.2575 |   -0.9212 |
+#> |.....................|   -0.7657 |   -0.8720 |   -0.7899 |    -1.094 |
+#> |.....................|   -0.5585 |   -0.8552 |    -1.078 |   -0.1866 |
+#> |    U|     472.97479 |     91.45 |    -5.415 |   -0.9041 |    -2.191 |
+#> |.....................|    -4.637 |    0.3872 |     1.300 |   0.05712 |
+#> |.....................|    0.8752 |   0.05854 |    0.7946 |    0.7037 |
+#> |.....................|     1.549 |    0.9715 |    0.6874 |     2.040 |
+#> |    X|     472.97479 |     91.45 |  0.004449 |    0.2882 |    0.1118 |
+#> |.....................|  0.009685 |    0.5956 |     1.300 |   0.05712 |
+#> |.....................|    0.8752 |   0.05854 |    0.7946 |    0.7037 |
+#> |.....................|     1.549 |    0.9715 |    0.6874 |     2.040 |
+#> |   95|     472.26932 |     1.006 |    -1.253 |   -0.9268 |   -0.9205 |
+#> |.....................|    -1.035 |    -1.074 |    0.3572 |    -1.022 |
+#> |.....................|   -0.7723 |   -0.8583 |   -0.7991 |    -1.118 |
+#> |.....................|   -0.5709 |   -0.8392 |    -1.088 |   -0.1877 |
+#> |    U|     472.26932 |     91.55 |    -5.453 |   -0.9046 |    -2.183 |
+#> |.....................|    -4.648 |    0.3719 |     1.341 |   0.05419 |
+#> |.....................|    0.8725 |   0.05894 |    0.7878 |    0.6819 |
+#> |.....................|     1.534 |    0.9868 |    0.6787 |     2.039 |
+#> |    X|     472.26932 |     91.55 |  0.004282 |    0.2881 |    0.1127 |
+#> |.....................|  0.009582 |    0.5919 |     1.341 |   0.05419 |
+#> |.....................|    0.8725 |   0.05894 |    0.7878 |    0.6819 |
+#> |.....................|     1.534 |    0.9868 |    0.6787 |     2.039 |
+#> |   96|     470.90347 |     1.012 |    -1.408 |   -0.9286 |   -0.8872 |
+#> |.....................|    -1.078 |    -1.207 |    0.7550 |    -1.427 |
+#> |.....................|   -0.7985 |   -0.8024 |   -0.8343 |    -1.204 |
+#> |.....................|   -0.6170 |   -0.7722 |    -1.128 |   -0.1957 |
+#> |    U|     470.90347 |     92.06 |    -5.608 |   -0.9062 |    -2.150 |
+#> |.....................|    -4.691 |    0.3105 |     1.506 |   0.04245 |
+#> |.....................|    0.8616 |   0.06056 |    0.7621 |    0.6043 |
+#> |.....................|     1.480 |     1.051 |    0.6438 |     2.029 |
+#> |    X|     470.90347 |     92.06 |  0.003670 |    0.2878 |    0.1165 |
+#> |.....................|  0.009180 |    0.5770 |     1.506 |   0.04245 |
+#> |.....................|    0.8616 |   0.06056 |    0.7621 |    0.6043 |
+#> |.....................|     1.480 |     1.051 |    0.6438 |     2.029 |
+#> |    F| Forward Diff. |     16.46 |    0.7178 |     1.137 |   -0.2842 |
+#> |.....................|   0.06515 |    -1.058 |    -6.810 |    -2.325 |
+#> |.....................|   -0.1903 |   -0.6630 |     1.424 |    -9.046 |
+#> |.....................|    -1.659 |     8.235 |    -7.307 |    -1.506 |
+#> |   97|     469.55066 |     1.016 |    -1.623 |   -0.9529 |   -0.8214 |
+#> |.....................|    -1.136 |    -1.353 |     1.295 |    -1.874 |
+#> |.....................|   -0.8595 |   -0.6716 |   -0.9513 |    -1.204 |
+#> |.....................|   -0.7087 |   -0.8316 |   -0.9499 |   -0.4083 |
+#> |    U|     469.55066 |     92.47 |    -5.823 |   -0.9279 |    -2.084 |
+#> |.....................|    -4.749 |    0.2437 |     1.731 |   0.02949 |
+#> |.....................|    0.8363 |   0.06435 |    0.6766 |    0.6043 |
+#> |.....................|     1.371 |    0.9940 |    0.7978 |     1.771 |
+#> |    X|     469.55066 |     92.47 |  0.002960 |    0.2834 |    0.1245 |
+#> |.....................|  0.008661 |    0.5606 |     1.731 |   0.02949 |
+#> |.....................|    0.8363 |   0.06435 |    0.6766 |    0.6043 |
+#> |.....................|     1.371 |    0.9940 |    0.7978 |     1.771 |
+#> |    F| Forward Diff. |    -5.003 |    0.4823 |    0.6025 |   -0.2481 |
+#> |.....................|    -1.135 |    0.1015 |    -5.875 |    -8.309 |
+#> |.....................|   -0.8363 |   -0.7839 |     1.711 |    -6.097 |
+#> |.....................|    -4.755 |     1.794 |     4.040 |   -0.5408 |
+#> |   98|     471.32255 |     1.022 |    -1.880 |    -1.043 |   -0.7426 |
+#> |.....................|    -1.107 |    -1.512 |     1.956 |    -1.964 |
+#> |.....................|   -0.9773 |   -0.5429 |    -1.097 |    -1.122 |
+#> |.....................|   -0.6469 |   -0.5662 |   -0.9027 |   -0.4752 |
+#> |    U|     471.32255 |     93.00 |    -6.080 |    -1.008 |    -2.005 |
+#> |.....................|    -4.719 |    0.1705 |     2.005 |   0.02687 |
+#> |.....................|    0.7874 |   0.06809 |    0.5704 |    0.6787 |
+#> |.....................|     1.444 |     1.248 |    0.8385 |     1.690 |
+#> |    X|     471.32255 |     93.00 |  0.002289 |    0.2674 |    0.1347 |
+#> |.....................|  0.008922 |    0.5425 |     2.005 |   0.02687 |
+#> |.....................|    0.7874 |   0.06809 |    0.5704 |    0.6787 |
+#> |.....................|     1.444 |     1.248 |    0.8385 |     1.690 |
+#> |   99|     468.82475 |     1.022 |    -1.709 |   -0.9836 |   -0.7948 |
+#> |.....................|    -1.126 |    -1.406 |     1.521 |    -1.898 |
+#> |.....................|   -0.8984 |   -0.6279 |    -1.001 |    -1.172 |
+#> |.....................|   -0.6845 |   -0.7440 |   -0.9371 |   -0.4303 |
+#> |    U|     468.82475 |     92.98 |    -5.909 |   -0.9551 |    -2.057 |
+#> |.....................|    -4.738 |    0.2191 |     1.824 |   0.02879 |
+#> |.....................|    0.8201 |   0.06562 |    0.6400 |    0.6333 |
+#> |.....................|     1.400 |     1.078 |    0.8088 |     1.744 |
+#> |    X|     468.82475 |     92.98 |  0.002714 |    0.2779 |    0.1278 |
+#> |.....................|  0.008755 |    0.5546 |     1.824 |   0.02879 |
+#> |.....................|    0.8201 |   0.06562 |    0.6400 |    0.6333 |
+#> |.....................|     1.400 |     1.078 |    0.8088 |     1.744 |
+#> |    F| Forward Diff. |     40.86 |    0.3767 |  -0.09575 |   -0.1893 |
+#> |.....................|    -1.313 |   -0.2132 |    -3.864 |    -4.927 |
+#> |.....................|    -1.292 |    -1.079 |   -0.1017 |    -3.329 |
+#> |.....................|    -4.248 |     8.116 |     3.916 |   -0.3530 |
+#> |  100|     467.75171 |     1.017 |    -1.816 |   -0.9824 |   -0.7623 |
+#> |.....................|    -1.067 |    -1.470 |     1.678 |    -1.962 |
+#> |.....................|   -0.9501 |   -0.5667 |   -0.9995 |    -1.140 |
+#> |.....................|   -0.5909 |   -0.8204 |    -1.012 |   -0.4878 |
+#> |    U|     467.75171 |     92.51 |    -6.016 |   -0.9541 |    -2.025 |
+#> |.....................|    -4.679 |    0.1896 |     1.889 |   0.02693 |
+#> |.....................|    0.7987 |   0.06740 |    0.6413 |    0.6622 |
+#> |.....................|     1.510 |     1.005 |    0.7438 |     1.674 |
+#> |    X|     467.75171 |     92.51 |  0.002440 |    0.2781 |    0.1320 |
+#> |.....................|  0.009285 |    0.5473 |     1.889 |   0.02693 |
+#> |.....................|    0.7987 |   0.06740 |    0.6413 |    0.6622 |
+#> |.....................|     1.510 |     1.005 |    0.7438 |     1.674 |
+#> |    F| Forward Diff. |    -11.72 |    0.1617 |   -0.2966 |    0.1391 |
+#> |.....................|   -0.7722 |   -0.6625 |    -3.136 |    -6.222 |
+#> |.....................|    -1.617 |   -0.9189 |   -0.2811 |    -3.105 |
+#> |.....................|   0.05355 |     2.320 |    -3.473 |    -2.160 |
+#> |  101|     467.28745 |     1.018 |    -1.902 |   -0.9107 |   -0.7577 |
+#> |.....................|   -0.9795 |    -1.517 |     1.777 |    -1.860 |
+#> |.....................|   -0.8874 |   -0.4787 |   -0.8826 |    -1.170 |
+#> |.....................|   -0.6199 |   -0.8544 |   -0.9952 |   -0.3962 |
+#> |    U|     467.28745 |     92.66 |    -6.102 |   -0.8902 |    -2.020 |
+#> |.....................|    -4.592 |    0.1682 |     1.931 |   0.02990 |
+#> |.....................|    0.8247 |   0.06995 |    0.7268 |    0.6357 |
+#> |.....................|     1.476 |    0.9723 |    0.7587 |     1.785 |
+#> |    X|     467.28745 |     92.66 |  0.002239 |    0.2911 |    0.1327 |
+#> |.....................|   0.01013 |    0.5420 |     1.931 |   0.02990 |
+#> |.....................|    0.8247 |   0.06995 |    0.7268 |    0.6357 |
+#> |.....................|     1.476 |    0.9723 |    0.7587 |     1.785 |
+#> |    F| Forward Diff. |     21.75 |    0.1003 |     2.571 |    0.1450 |
+#> |.....................|   -0.5415 |    -1.471 |    -1.062 |    -1.774 |
+#> |.....................|     1.363 |    0.7539 |     2.182 |    -3.357 |
+#> |.....................|    -1.337 |    0.2346 |    -1.234 |   -0.8531 |
+#> |  102|     469.68385 |    0.9954 |    -1.950 |    -1.032 |   -0.7900 |
+#> |.....................|   -0.8810 |    -1.433 |     1.783 |    -1.785 |
+#> |.....................|   -0.9418 |   -0.5114 |   -0.9107 |    -1.204 |
+#> |.....................|   -0.6798 |   -0.8966 |    -1.014 |   -0.2565 |
+#> |    U|     469.68385 |     90.58 |    -6.150 |   -0.9984 |    -2.052 |
+#> |.....................|    -4.493 |    0.2066 |     1.933 |   0.03207 |
+#> |.....................|    0.8021 |   0.06900 |    0.7062 |    0.6043 |
+#> |.....................|     1.405 |    0.9320 |    0.7422 |     1.955 |
+#> |    X|     469.68385 |     90.58 |  0.002133 |    0.2693 |    0.1284 |
+#> |.....................|   0.01118 |    0.5515 |     1.933 |   0.03207 |
+#> |.....................|    0.8021 |   0.06900 |    0.7062 |    0.6043 |
+#> |.....................|     1.405 |    0.9320 |    0.7422 |     1.955 |
+#> |  103|     467.87907 |     1.005 |    -1.909 |   -0.9308 |   -0.7628 |
+#> |.....................|   -0.9639 |    -1.503 |     1.779 |    -1.847 |
+#> |.....................|   -0.8965 |   -0.4841 |   -0.8880 |    -1.173 |
+#> |.....................|   -0.6287 |   -0.8610 |   -0.9975 |   -0.3740 |
+#> |    U|     467.87907 |     91.48 |    -6.109 |   -0.9081 |    -2.025 |
+#> |.....................|    -4.576 |    0.1745 |     1.931 |   0.03026 |
+#> |.....................|    0.8209 |   0.06979 |    0.7229 |    0.6325 |
+#> |.....................|     1.466 |    0.9660 |    0.7566 |     1.812 |
+#> |    X|     467.87907 |     91.48 |  0.002222 |    0.2874 |    0.1320 |
+#> |.....................|   0.01029 |    0.5435 |     1.931 |   0.03026 |
+#> |.....................|    0.8209 |   0.06979 |    0.7229 |    0.6325 |
+#> |.....................|     1.466 |    0.9660 |    0.7566 |     1.812 |
+#> |  104|     467.53566 |     1.009 |    -1.902 |   -0.9117 |   -0.7577 |
+#> |.....................|   -0.9793 |    -1.516 |     1.778 |    -1.859 |
+#> |.....................|   -0.8880 |   -0.4790 |   -0.8835 |    -1.168 |
+#> |.....................|   -0.6194 |   -0.8545 |   -0.9947 |   -0.3959 |
+#> |    U|     467.53566 |     91.86 |    -6.102 |   -0.8912 |    -2.020 |
+#> |.....................|    -4.592 |    0.1685 |     1.931 |   0.02992 |
+#> |.....................|    0.8245 |   0.06994 |    0.7261 |    0.6369 |
+#> |.....................|     1.477 |    0.9722 |    0.7591 |     1.786 |
+#> |    X|     467.53566 |     91.86 |  0.002239 |    0.2909 |    0.1326 |
+#> |.....................|   0.01013 |    0.5420 |     1.931 |   0.02992 |
+#> |.....................|    0.8245 |   0.06994 |    0.7261 |    0.6369 |
+#> |.....................|     1.477 |    0.9722 |    0.7591 |     1.786 |
+#> |  105|     467.26444 |     1.016 |    -1.902 |   -0.9109 |   -0.7577 |
+#> |.....................|   -0.9795 |    -1.516 |     1.777 |    -1.860 |
+#> |.....................|   -0.8875 |   -0.4788 |   -0.8828 |    -1.169 |
+#> |.....................|   -0.6198 |   -0.8544 |   -0.9951 |   -0.3961 |
+#> |    U|     467.26444 |     92.48 |    -6.102 |   -0.8905 |    -2.020 |
+#> |.....................|    -4.592 |    0.1683 |     1.931 |   0.02990 |
+#> |.....................|    0.8246 |   0.06995 |    0.7266 |    0.6360 |
+#> |.....................|     1.476 |    0.9723 |    0.7588 |     1.786 |
+#> |    X|     467.26444 |     92.48 |  0.002239 |    0.2910 |    0.1326 |
+#> |.....................|   0.01013 |    0.5420 |     1.931 |   0.02990 |
+#> |.....................|    0.8246 |   0.06995 |    0.7266 |    0.6360 |
+#> |.....................|     1.476 |    0.9723 |    0.7588 |     1.786 |
+#> |    F| Forward Diff. |    -1.458 |   0.09189 |     2.450 |    0.1713 |
+#> |.....................|   -0.5320 |    -1.492 |    -1.346 |    -2.030 |
+#> |.....................|     1.374 |    0.8089 |     1.804 |    -5.854 |
+#> |.....................|    -1.303 |    0.2787 |    -1.170 |   -0.8602 |
+#> |  106|     467.25360 |     1.017 |    -1.902 |   -0.9116 |   -0.7577 |
+#> |.....................|   -0.9793 |    -1.516 |     1.778 |    -1.859 |
+#> |.....................|   -0.8879 |   -0.4790 |   -0.8833 |    -1.168 |
+#> |.....................|   -0.6195 |   -0.8545 |   -0.9948 |   -0.3959 |
+#> |    U|      467.2536 |     92.51 |    -6.102 |   -0.8910 |    -2.020 |
+#> |.....................|    -4.592 |    0.1685 |     1.931 |   0.02992 |
+#> |.....................|    0.8245 |   0.06994 |    0.7263 |    0.6374 |
+#> |.....................|     1.477 |    0.9722 |    0.7590 |     1.786 |
+#> |    X|      467.2536 |     92.51 |  0.002239 |    0.2909 |    0.1326 |
+#> |.....................|   0.01013 |    0.5420 |     1.931 |   0.02992 |
+#> |.....................|    0.8245 |   0.06994 |    0.7263 |    0.6374 |
+#> |.....................|     1.477 |    0.9722 |    0.7590 |     1.786 |
+#> |    F| Forward Diff. |     3.196 |   0.08873 |     2.446 |    0.1672 |
+#> |.....................|   -0.5342 |    -1.484 |    -1.056 |    -1.956 |
+#> |.....................|     1.373 |    0.7965 |     2.077 |    -5.722 |
+#> |.....................|    -1.292 |    0.2471 |    -1.040 |   -0.8496 |
+#> |  107|     467.24389 |     1.015 |    -1.902 |   -0.9128 |   -0.7578 |
+#> |.....................|   -0.9790 |    -1.515 |     1.778 |    -1.858 |
+#> |.....................|   -0.8886 |   -0.4794 |   -0.8844 |    -1.165 |
+#> |.....................|   -0.6188 |   -0.8546 |   -0.9942 |   -0.3955 |
+#> |    U|     467.24389 |     92.37 |    -6.102 |   -0.8922 |    -2.020 |
+#> |.....................|    -4.592 |    0.1688 |     1.931 |   0.02995 |
+#> |.....................|    0.8242 |   0.06993 |    0.7255 |    0.6400 |
+#> |.....................|     1.477 |    0.9721 |    0.7595 |     1.786 |
+#> |    X|     467.24389 |     92.37 |  0.002239 |    0.2907 |    0.1326 |
+#> |.....................|   0.01014 |    0.5421 |     1.931 |   0.02995 |
+#> |.....................|    0.8242 |   0.06993 |    0.7255 |    0.6400 |
+#> |.....................|     1.477 |    0.9721 |    0.7595 |     1.786 |
+#> |    F| Forward Diff. |    -15.43 |   0.07336 |     2.305 |    0.1893 |
+#> |.....................|   -0.5256 |    -1.495 |    -1.329 |    -2.142 |
+#> |.....................|     1.357 |    0.9382 |     1.940 |    -3.165 |
+#> |.....................|    -1.157 |    0.2760 |   -0.9277 |   -0.8566 |
+#> |  108|     467.22397 |     1.017 |    -1.902 |   -0.9138 |   -0.7581 |
+#> |.....................|   -0.9782 |    -1.514 |     1.778 |    -1.857 |
+#> |.....................|   -0.8889 |   -0.4797 |   -0.8863 |    -1.164 |
+#> |.....................|   -0.6190 |   -0.8552 |   -0.9945 |   -0.3935 |
+#> |    U|     467.22397 |     92.56 |    -6.102 |   -0.8930 |    -2.020 |
+#> |.....................|    -4.591 |    0.1692 |     1.931 |   0.02998 |
+#> |.....................|    0.8241 |   0.06992 |    0.7241 |    0.6409 |
+#> |.....................|     1.477 |    0.9715 |    0.7593 |     1.789 |
+#> |    X|     467.22397 |     92.56 |  0.002238 |    0.2905 |    0.1326 |
+#> |.....................|   0.01015 |    0.5422 |     1.931 |   0.02998 |
+#> |.....................|    0.8241 |   0.06992 |    0.7241 |    0.6409 |
+#> |.....................|     1.477 |    0.9715 |    0.7593 |     1.789 |
+#> |    F| Forward Diff. |     8.612 |   0.07601 |     2.377 |    0.1597 |
+#> |.....................|   -0.5308 |    -1.476 |    -1.038 |    -1.834 |
+#> |.....................|     1.332 |    0.7679 |     2.039 |    -3.039 |
+#> |.....................|    -1.288 |    0.2037 |    -1.093 |   -0.8313 |
+#> |  109|     467.20858 |     1.016 |    -1.903 |   -0.9153 |   -0.7584 |
+#> |.....................|   -0.9772 |    -1.513 |     1.777 |    -1.856 |
+#> |.....................|   -0.8896 |   -0.4802 |   -0.8882 |    -1.164 |
+#> |.....................|   -0.6194 |   -0.8560 |   -0.9946 |   -0.3915 |
+#> |    U|     467.20858 |     92.46 |    -6.103 |   -0.8944 |    -2.021 |
+#> |.....................|    -4.590 |    0.1698 |     1.931 |   0.03001 |
+#> |.....................|    0.8238 |   0.06990 |    0.7227 |    0.6411 |
+#> |.....................|     1.477 |    0.9707 |    0.7591 |     1.791 |
+#> |    X|     467.20858 |     92.46 |  0.002236 |    0.2902 |    0.1325 |
+#> |.....................|   0.01016 |    0.5423 |     1.931 |   0.03001 |
+#> |.....................|    0.8238 |   0.06990 |    0.7227 |    0.6411 |
+#> |.....................|     1.477 |    0.9707 |    0.7591 |     1.791 |
+#> |    F| Forward Diff. |    -3.651 |   0.07137 |     2.259 |    0.1744 |
+#> |.....................|   -0.5171 |    -1.486 |    -1.304 |    -1.934 |
+#> |.....................|     1.324 |    0.7910 |     1.690 |    -3.053 |
+#> |.....................|    -1.233 |    0.1999 |    -1.046 |   -0.8164 |
+#> |  110|     467.19548 |     1.017 |    -1.903 |   -0.9170 |   -0.7588 |
+#> |.....................|   -0.9762 |    -1.512 |     1.778 |    -1.855 |
+#> |.....................|   -0.8906 |   -0.4808 |   -0.8898 |    -1.163 |
+#> |.....................|   -0.6195 |   -0.8567 |   -0.9946 |   -0.3897 |
+#> |    U|     467.19548 |     92.56 |    -6.103 |   -0.8959 |    -2.021 |
+#> |.....................|    -4.589 |    0.1705 |     1.931 |   0.03005 |
+#> |.....................|    0.8234 |   0.06989 |    0.7215 |    0.6417 |
+#> |.....................|     1.477 |    0.9701 |    0.7592 |     1.793 |
+#> |    X|     467.19548 |     92.56 |  0.002235 |    0.2899 |    0.1325 |
+#> |.....................|   0.01017 |    0.5425 |     1.931 |   0.03005 |
+#> |.....................|    0.8234 |   0.06989 |    0.7215 |    0.6417 |
+#> |.....................|     1.477 |    0.9701 |    0.7592 |     1.793 |
+#> |    F| Forward Diff. |     9.695 |   0.07360 |     2.256 |    0.1610 |
+#> |.....................|   -0.5147 |    -1.467 |    -1.275 |    -1.734 |
+#> |.....................|     1.307 |    0.8740 |     2.039 |    -5.568 |
+#> |.....................|    -1.898 |   -0.2550 |    -1.273 |   -0.7762 |
+#> |  111|     467.17845 |     1.016 |    -1.904 |   -0.9175 |   -0.7593 |
+#> |.....................|   -0.9751 |    -1.510 |     1.777 |    -1.854 |
+#> |.....................|   -0.8907 |   -0.4813 |   -0.8918 |    -1.161 |
+#> |.....................|   -0.6194 |   -0.8571 |   -0.9949 |   -0.3876 |
+#> |    U|     467.17845 |     92.50 |    -6.104 |   -0.8963 |    -2.022 |
+#> |.....................|    -4.588 |    0.1711 |     1.930 |   0.03007 |
+#> |.....................|    0.8234 |   0.06987 |    0.7201 |    0.6433 |
+#> |.....................|     1.477 |    0.9697 |    0.7589 |     1.796 |
+#> |    X|     467.17845 |     92.50 |  0.002234 |    0.2898 |    0.1324 |
+#> |.....................|   0.01018 |    0.5427 |     1.930 |   0.03007 |
+#> |.....................|    0.8234 |   0.06987 |    0.7201 |    0.6433 |
+#> |.....................|     1.477 |    0.9697 |    0.7589 |     1.796 |
+#> |    F| Forward Diff. |     2.021 |   0.06308 |     2.194 |    0.1658 |
+#> |.....................|   -0.5050 |    -1.471 |    -1.283 |    -1.811 |
+#> |.....................|     1.304 |    0.7659 |     1.629 |    -2.860 |
+#> |.....................|    -1.234 |    0.1434 |    -1.025 |   -0.7796 |
+#> |  112|     467.16518 |     1.015 |    -1.904 |   -0.9192 |   -0.7596 |
+#> |.....................|   -0.9742 |    -1.509 |     1.777 |    -1.853 |
+#> |.....................|   -0.8917 |   -0.4819 |   -0.8931 |    -1.160 |
+#> |.....................|   -0.6190 |   -0.8574 |   -0.9946 |   -0.3864 |
+#> |    U|     467.16518 |     92.39 |    -6.104 |   -0.8978 |    -2.022 |
+#> |.....................|    -4.587 |    0.1719 |     1.931 |   0.03011 |
+#> |.....................|    0.8229 |   0.06985 |    0.7191 |    0.6447 |
+#> |.....................|     1.477 |    0.9694 |    0.7592 |     1.797 |
+#> |    X|     467.16518 |     92.39 |  0.002234 |    0.2895 |    0.1324 |
+#> |.....................|   0.01019 |    0.5429 |     1.931 |   0.03011 |
+#> |.....................|    0.8229 |   0.06985 |    0.7191 |    0.6447 |
+#> |.....................|     1.477 |    0.9694 |    0.7592 |     1.797 |
+#> |    F| Forward Diff. |    -11.15 |   0.05292 |     2.063 |    0.1800 |
+#> |.....................|   -0.4962 |    -1.473 |   -0.9311 |    -1.912 |
+#> |.....................|     1.287 |    0.8965 |     1.659 |    -5.399 |
+#> |.....................|    -1.766 |   -0.2649 |    -1.228 |   -0.7899 |
+#> |  113|     467.14275 |     1.016 |    -1.904 |   -0.9201 |   -0.7599 |
+#> |.....................|   -0.9736 |    -1.507 |     1.777 |    -1.851 |
+#> |.....................|   -0.8922 |   -0.4826 |   -0.8948 |    -1.157 |
+#> |.....................|   -0.6182 |   -0.8576 |   -0.9943 |   -0.3850 |
+#> |    U|     467.14275 |     92.43 |    -6.104 |   -0.8986 |    -2.022 |
+#> |.....................|    -4.586 |    0.1725 |     1.931 |   0.03014 |
+#> |.....................|    0.8227 |   0.06984 |    0.7179 |    0.6470 |
+#> |.....................|     1.478 |    0.9693 |    0.7594 |     1.799 |
+#> |    X|     467.14275 |     92.43 |  0.002233 |    0.2893 |    0.1324 |
+#> |.....................|   0.01019 |    0.5430 |     1.931 |   0.03014 |
+#> |.....................|    0.8227 |   0.06984 |    0.7179 |    0.6470 |
+#> |.....................|     1.478 |    0.9693 |    0.7594 |     1.799 |
+#> |    F| Forward Diff. |    -6.177 |   0.04590 |     2.051 |    0.1758 |
+#> |.....................|   -0.4936 |    -1.461 |   -0.9893 |    -1.828 |
+#> |.....................|     1.266 |    0.7615 |     1.545 |    -5.206 |
+#> |.....................|    -1.792 |   -0.2512 |    -1.220 |   -0.7551 |
+#> |  114|     467.10820 |     1.017 |    -1.905 |   -0.9220 |   -0.7605 |
+#> |.....................|   -0.9724 |    -1.505 |     1.777 |    -1.849 |
+#> |.....................|   -0.8932 |   -0.4835 |   -0.8976 |    -1.151 |
+#> |.....................|   -0.6164 |   -0.8576 |   -0.9935 |   -0.3828 |
+#> |    U|      467.1082 |     92.55 |    -6.105 |   -0.9003 |    -2.023 |
+#> |.....................|    -4.585 |    0.1737 |     1.930 |   0.03020 |
+#> |.....................|    0.8223 |   0.06981 |    0.7158 |    0.6522 |
+#> |.....................|     1.480 |    0.9692 |    0.7601 |     1.802 |
+#> |    X|      467.1082 |     92.55 |  0.002232 |    0.2890 |    0.1323 |
+#> |.....................|   0.01020 |    0.5433 |     1.930 |   0.03020 |
+#> |.....................|    0.8223 |   0.06981 |    0.7158 |    0.6522 |
+#> |.....................|     1.480 |    0.9692 |    0.7601 |     1.802 |
+#> |    F| Forward Diff. |     8.449 |   0.03092 |     2.044 |    0.1611 |
+#> |.....................|   -0.4934 |    -1.430 |    -1.221 |    -1.596 |
+#> |.....................|     1.229 |    0.8691 |     1.875 |    -2.123 |
+#> |.....................|    -1.605 |   -0.2558 |    -1.009 |   -0.7122 |
+#> |  115|     467.10106 |     1.014 |    -1.905 |   -0.9236 |   -0.7611 |
+#> |.....................|   -0.9712 |    -1.502 |     1.777 |    -1.847 |
+#> |.....................|   -0.8940 |   -0.4849 |   -0.9012 |    -1.147 |
+#> |.....................|   -0.6148 |   -0.8578 |   -0.9928 |   -0.3803 |
+#> |    U|     467.10106 |     92.28 |    -6.105 |   -0.9017 |    -2.023 |
+#> |.....................|    -4.584 |    0.1749 |     1.930 |   0.03026 |
+#> |.....................|    0.8220 |   0.06977 |    0.7132 |    0.6562 |
+#> |.....................|     1.482 |    0.9690 |    0.7607 |     1.805 |
+#> |    X|     467.10106 |     92.28 |  0.002232 |    0.2887 |    0.1322 |
+#> |.....................|   0.01022 |    0.5436 |     1.930 |   0.03026 |
+#> |.....................|    0.8220 |   0.06977 |    0.7132 |    0.6562 |
+#> |.....................|     1.482 |    0.9690 |    0.7607 |     1.805 |
+#> |    F| Forward Diff. |    -24.17 |  0.001665 |     1.814 |    0.1960 |
+#> |.....................|   -0.4738 |    -1.444 |   -0.8955 |    -1.908 |
+#> |.....................|     1.221 |    0.7910 |     1.755 |    -3.560 |
+#> |.....................|    -2.244 |   -0.2675 |   -0.8607 |   -0.7175 |
+#> |  116|     467.04630 |     1.016 |    -1.905 |   -0.9246 |   -0.7619 |
+#> |.....................|   -0.9696 |    -1.499 |     1.777 |    -1.845 |
+#> |.....................|   -0.8944 |   -0.4866 |   -0.9055 |    -1.143 |
+#> |.....................|   -0.6133 |   -0.8582 |   -0.9923 |   -0.3775 |
+#> |    U|      467.0463 |     92.45 |    -6.105 |   -0.9026 |    -2.024 |
+#> |.....................|    -4.582 |    0.1762 |     1.930 |   0.03032 |
+#> |.....................|    0.8218 |   0.06972 |    0.7101 |    0.6601 |
+#> |.....................|     1.484 |    0.9686 |    0.7611 |     1.808 |
+#> |    X|      467.0463 |     92.45 |  0.002231 |    0.2885 |    0.1321 |
+#> |.....................|   0.01023 |    0.5439 |     1.930 |   0.03032 |
+#> |.....................|    0.8218 |   0.06972 |    0.7101 |    0.6601 |
+#> |.....................|     1.484 |    0.9686 |    0.7611 |     1.808 |
+#> |    F| Forward Diff. |    -2.647 | -0.007887 |     1.876 |    0.1719 |
+#> |.....................|   -0.4730 |    -1.410 |   -0.8701 |    -1.589 |
+#> |.....................|     1.184 |    0.7244 |     1.544 |    -4.110 |
+#> |.....................|    -1.544 |   -0.3120 |   -0.9430 |   -0.6527 |
+#> |  117|     467.02543 |     1.017 |    -1.906 |   -0.9263 |   -0.7625 |
+#> |.....................|   -0.9684 |    -1.497 |     1.777 |    -1.843 |
+#> |.....................|   -0.8954 |   -0.4879 |   -0.9089 |    -1.137 |
+#> |.....................|   -0.6116 |   -0.8583 |   -0.9915 |   -0.3753 |
+#> |    U|     467.02543 |     92.58 |    -6.106 |   -0.9041 |    -2.025 |
+#> |.....................|    -4.581 |    0.1775 |     1.930 |   0.03038 |
+#> |.....................|    0.8214 |   0.06968 |    0.7076 |    0.6649 |
+#> |.....................|     1.486 |    0.9686 |    0.7618 |     1.811 |
+#> |    X|     467.02543 |     92.58 |  0.002230 |    0.2882 |    0.1320 |
+#> |.....................|   0.01025 |    0.5443 |     1.930 |   0.03038 |
+#> |.....................|    0.8214 |   0.06968 |    0.7076 |    0.6649 |
+#> |.....................|     1.486 |    0.9686 |    0.7618 |     1.811 |
+#> |    F| Forward Diff. |     12.94 |  -0.02385 |     1.879 |    0.1542 |
+#> |.....................|   -0.4735 |    -1.378 |   -0.8918 |    -1.355 |
+#> |.....................|     1.131 |    0.6590 |     1.631 |    -3.618 |
+#> |.....................|    -1.430 |   -0.2321 |   -0.8462 |   -0.6495 |
+#> |  118|     466.99646 |     1.016 |    -1.906 |   -0.9273 |   -0.7632 |
+#> |.....................|   -0.9670 |    -1.494 |     1.776 |    -1.841 |
+#> |.....................|   -0.8958 |   -0.4892 |   -0.9132 |    -1.133 |
+#> |.....................|   -0.6101 |   -0.8587 |   -0.9911 |   -0.3725 |
+#> |    U|     466.99646 |     92.42 |    -6.106 |   -0.9050 |    -2.026 |
+#> |.....................|    -4.579 |    0.1788 |     1.930 |   0.03043 |
+#> |.....................|    0.8212 |   0.06964 |    0.7044 |    0.6690 |
+#> |.....................|     1.488 |    0.9682 |    0.7622 |     1.814 |
+#> |    X|     466.99646 |     92.42 |  0.002230 |    0.2880 |    0.1319 |
+#> |.....................|   0.01026 |    0.5446 |     1.930 |   0.03043 |
+#> |.....................|    0.8212 |   0.06964 |    0.7044 |    0.6690 |
+#> |.....................|     1.488 |    0.9682 |    0.7622 |     1.814 |
+#> |    F| Forward Diff. |    -5.590 |  -0.05004 |     1.738 |    0.1737 |
+#> |.....................|   -0.4573 |    -1.378 |   -0.8791 |    -1.534 |
+#> |.....................|     1.117 |    0.8064 |     1.528 |    -3.141 |
+#> |.....................|   -0.8220 |    0.1296 |   -0.3838 |   -0.6246 |
+#> |  119|     466.97639 |     1.017 |    -1.906 |   -0.9282 |   -0.7640 |
+#> |.....................|   -0.9655 |    -1.490 |     1.776 |    -1.839 |
+#> |.....................|   -0.8964 |   -0.4910 |   -0.9175 |    -1.129 |
+#> |.....................|   -0.6092 |   -0.8593 |   -0.9910 |   -0.3693 |
+#> |    U|     466.97639 |     92.52 |    -6.106 |   -0.9059 |    -2.026 |
+#> |.....................|    -4.578 |    0.1803 |     1.930 |   0.03049 |
+#> |.....................|    0.8210 |   0.06959 |    0.7013 |    0.6726 |
+#> |.....................|     1.489 |    0.9676 |    0.7623 |     1.818 |
+#> |    X|     466.97639 |     92.52 |  0.002230 |    0.2878 |    0.1318 |
+#> |.....................|   0.01028 |    0.5450 |     1.930 |   0.03049 |
+#> |.....................|    0.8210 |   0.06959 |    0.7013 |    0.6726 |
+#> |.....................|     1.489 |    0.9676 |    0.7623 |     1.818 |
+#> |    F| Forward Diff. |     7.027 |  -0.06281 |     1.755 |    0.1604 |
+#> |.....................|   -0.4507 |    -1.349 |   -0.8053 |    -1.299 |
+#> |.....................|     1.095 |    0.6623 |     1.032 |    -2.794 |
+#> |.....................|   -0.8171 |   0.07286 |   -0.3538 |   -0.5889 |
+#> |  120|     466.96001 |     1.015 |    -1.906 |   -0.9299 |   -0.7649 |
+#> |.....................|   -0.9637 |    -1.486 |     1.775 |    -1.837 |
+#> |.....................|   -0.8976 |   -0.4931 |   -0.9192 |    -1.125 |
+#> |.....................|   -0.6091 |   -0.8600 |   -0.9916 |   -0.3657 |
+#> |    U|     466.96001 |     92.40 |    -6.106 |   -0.9074 |    -2.027 |
+#> |.....................|    -4.576 |    0.1824 |     1.930 |   0.03055 |
+#> |.....................|    0.8205 |   0.06953 |    0.7000 |    0.6758 |
+#> |.....................|     1.489 |    0.9669 |    0.7618 |     1.823 |
+#> |    X|     466.96001 |     92.40 |  0.002230 |    0.2875 |    0.1317 |
+#> |.....................|   0.01029 |    0.5455 |     1.930 |   0.03055 |
+#> |.....................|    0.8205 |   0.06953 |    0.7000 |    0.6758 |
+#> |.....................|     1.489 |    0.9669 |    0.7618 |     1.823 |
+#> |    F| Forward Diff. |    -7.315 |  -0.08361 |     1.595 |    0.1755 |
+#> |.....................|   -0.4289 |    -1.331 |   -0.8104 |    -1.428 |
+#> |.....................|     1.055 |    0.7710 |     1.242 |    -2.826 |
+#> |.....................|    -1.346 |   -0.3282 |   -0.6399 |   -0.5709 |
+#> |  121|     466.94053 |     1.016 |    -1.905 |   -0.9315 |   -0.7662 |
+#> |.....................|   -0.9617 |    -1.480 |     1.774 |    -1.835 |
+#> |.....................|   -0.8987 |   -0.4954 |   -0.9193 |    -1.121 |
+#> |.....................|   -0.6079 |   -0.8601 |   -0.9919 |   -0.3632 |
+#> |    U|     466.94053 |     92.48 |    -6.105 |   -0.9088 |    -2.029 |
+#> |.....................|    -4.574 |    0.1849 |     1.929 |   0.03061 |
+#> |.....................|    0.8200 |   0.06946 |    0.6999 |    0.6792 |
+#> |.....................|     1.490 |    0.9668 |    0.7615 |     1.826 |
+#> |    X|     466.94053 |     92.48 |  0.002231 |    0.2873 |    0.1315 |
+#> |.....................|   0.01031 |    0.5461 |     1.929 |   0.03061 |
+#> |.....................|    0.8200 |   0.06946 |    0.6999 |    0.6792 |
+#> |.....................|     1.490 |    0.9668 |    0.7615 |     1.826 |
+#> |    F| Forward Diff. |     2.448 |  -0.09452 |     1.578 |    0.1631 |
+#> |.....................|   -0.4178 |    -1.275 |   -0.7880 |    -1.291 |
+#> |.....................|     1.013 |    0.7275 |     1.336 |   -0.1176 |
+#> |.....................|    -1.297 |   -0.2757 |   -0.6338 |   -0.5586 |
+#> |  122|     466.92529 |     1.015 |    -1.905 |   -0.9321 |   -0.7676 |
+#> |.....................|   -0.9593 |    -1.476 |     1.775 |    -1.833 |
+#> |.....................|   -0.8992 |   -0.4984 |   -0.9232 |    -1.122 |
+#> |.....................|   -0.6063 |   -0.8604 |   -0.9916 |   -0.3612 |
+#> |    U|     466.92529 |     92.34 |    -6.105 |   -0.9093 |    -2.030 |
+#> |.....................|    -4.572 |    0.1871 |     1.930 |   0.03066 |
+#> |.....................|    0.8198 |   0.06938 |    0.6971 |    0.6791 |
+#> |.....................|     1.492 |    0.9666 |    0.7618 |     1.828 |
+#> |    X|     466.92529 |     92.34 |  0.002233 |    0.2871 |    0.1313 |
+#> |.....................|   0.01034 |    0.5466 |     1.930 |   0.03066 |
+#> |.....................|    0.8198 |   0.06938 |    0.6971 |    0.6791 |
+#> |.....................|     1.492 |    0.9666 |    0.7618 |     1.828 |
+#> |    F| Forward Diff. |    -12.72 |  -0.09950 |     1.479 |    0.1754 |
+#> |.....................|   -0.4012 |    -1.242 |   -0.7866 |    -1.413 |
+#> |.....................|    0.9668 |    0.6187 |    0.9349 |    -2.630 |
+#> |.....................|    -1.260 |   -0.3489 |   -0.4063 |   -0.5476 |
+#> |  123|     466.89942 |     1.016 |    -1.904 |   -0.9326 |   -0.7693 |
+#> |.....................|   -0.9564 |    -1.470 |     1.775 |    -1.832 |
+#> |.....................|   -0.8995 |   -0.5006 |   -0.9260 |    -1.122 |
+#> |.....................|   -0.6055 |   -0.8609 |   -0.9921 |   -0.3587 |
+#> |    U|     466.89942 |     92.48 |    -6.104 |   -0.9097 |    -2.032 |
+#> |.....................|    -4.569 |    0.1897 |     1.929 |   0.03069 |
+#> |.....................|    0.8197 |   0.06931 |    0.6950 |    0.6788 |
+#> |.....................|     1.493 |    0.9661 |    0.7614 |     1.831 |
+#> |    X|     466.89942 |     92.48 |  0.002235 |    0.2871 |    0.1311 |
+#> |.....................|   0.01037 |    0.5473 |     1.929 |   0.03069 |
+#> |.....................|    0.8197 |   0.06931 |    0.6950 |    0.6788 |
+#> |.....................|     1.493 |    0.9661 |    0.7614 |     1.831 |
+#> |    F| Forward Diff. |     3.439 |  -0.09008 |     1.544 |    0.1555 |
+#> |.....................|   -0.3845 |    -1.174 |   -0.7709 |    -1.201 |
+#> |.....................|    0.9305 |    0.6799 |     1.153 |    -2.871 |
+#> |.....................|    -1.766 |   -0.2963 |   -0.5389 |   -0.5305 |
+#> |  124|     466.87885 |     1.016 |    -1.902 |   -0.9335 |   -0.7713 |
+#> |.....................|   -0.9544 |    -1.465 |     1.775 |    -1.831 |
+#> |.....................|   -0.8988 |   -0.5028 |   -0.9291 |    -1.120 |
+#> |.....................|   -0.6025 |   -0.8609 |   -0.9918 |   -0.3573 |
+#> |    U|     466.87885 |     92.42 |    -6.102 |   -0.9106 |    -2.034 |
+#> |.....................|    -4.567 |    0.1922 |     1.930 |   0.03072 |
+#> |.....................|    0.8200 |   0.06925 |    0.6928 |    0.6803 |
+#> |.....................|     1.497 |    0.9661 |    0.7616 |     1.833 |
+#> |    X|     466.87885 |     92.42 |  0.002239 |    0.2869 |    0.1309 |
+#> |.....................|   0.01039 |    0.5479 |     1.930 |   0.03072 |
+#> |.....................|    0.8200 |   0.06925 |    0.6928 |    0.6803 |
+#> |.....................|     1.497 |    0.9661 |    0.7616 |     1.833 |
+#> |    F| Forward Diff. |    -3.274 |  -0.09794 |     1.477 |    0.1445 |
+#> |.....................|   -0.3711 |    -1.126 |   -0.7697 |    -1.253 |
+#> |.....................|    0.9213 |    0.5797 |    0.6929 |    -2.254 |
+#> |.....................|   -0.4364 |   0.05549 |  -0.07007 |   -0.5105 |
+#> |  125|     466.87374 |     1.017 |    -1.901 |   -0.9363 |   -0.7725 |
+#> |.....................|   -0.9523 |    -1.459 |     1.775 |    -1.829 |
+#> |.....................|   -0.9004 |   -0.5050 |   -0.9284 |    -1.119 |
+#> |.....................|   -0.6029 |   -0.8616 |   -0.9930 |   -0.3542 |
+#> |    U|     466.87374 |     92.57 |    -6.101 |   -0.9131 |    -2.035 |
+#> |.....................|    -4.565 |    0.1945 |     1.929 |   0.03078 |
+#> |.....................|    0.8193 |   0.06919 |    0.6933 |    0.6817 |
+#> |.....................|     1.496 |    0.9655 |    0.7605 |     1.836 |
+#> |    X|     466.87374 |     92.57 |  0.002241 |    0.2864 |    0.1307 |
+#> |.....................|   0.01041 |    0.5485 |     1.929 |   0.03078 |
+#> |.....................|    0.8193 |   0.06919 |    0.6933 |    0.6817 |
+#> |.....................|     1.496 |    0.9655 |    0.7605 |     1.836 |
+#> |    F| Forward Diff. |     13.60 |  -0.09484 |     1.445 |    0.1251 |
+#> |.....................|   -0.3584 |    -1.070 |   -0.7354 |    -1.048 |
+#> |.....................|    0.8551 |    0.6144 |    0.8824 | -0.009520 |
+#> |.....................|   -0.4410 |   0.04024 |   -0.2274 |   -0.5153 |
+#> |  126|     466.85547 |     1.016 |    -1.900 |   -0.9388 |   -0.7737 |
+#> |.....................|   -0.9500 |    -1.454 |     1.774 |    -1.828 |
+#> |.....................|   -0.9020 |   -0.5070 |   -0.9271 |    -1.119 |
+#> |.....................|   -0.6040 |   -0.8622 |   -0.9946 |   -0.3509 |
+#> |    U|     466.85547 |     92.42 |    -6.100 |   -0.9152 |    -2.036 |
+#> |.....................|    -4.562 |    0.1970 |     1.929 |   0.03083 |
+#> |.....................|    0.8186 |   0.06913 |    0.6942 |    0.6818 |
+#> |.....................|     1.495 |    0.9648 |    0.7592 |     1.841 |
+#> |    X|     466.85547 |     92.42 |  0.002243 |    0.2859 |    0.1305 |
+#> |.....................|   0.01044 |    0.5491 |     1.929 |   0.03083 |
+#> |.....................|    0.8186 |   0.06913 |    0.6942 |    0.6818 |
+#> |.....................|     1.495 |    0.9648 |    0.7592 |     1.841 |
+#> |    F| Forward Diff. |    -2.539 |  -0.09755 |     1.262 |    0.1433 |
+#> |.....................|   -0.3291 |    -1.038 |   -0.7482 |    -1.225 |
+#> |.....................|    0.8087 |    0.5023 |    0.8171 | -0.005344 |
+#> |.....................|   -0.4685 |   0.01356 |   -0.1499 |   -0.5112 |
+#> |  127|     466.84409 |     1.016 |    -1.899 |   -0.9408 |   -0.7751 |
+#> |.....................|   -0.9477 |    -1.449 |     1.774 |    -1.826 |
+#> |.....................|   -0.9037 |   -0.5088 |   -0.9269 |    -1.119 |
+#> |.....................|   -0.6048 |   -0.8630 |   -0.9960 |   -0.3473 |
+#> |    U|     466.84409 |     92.47 |    -6.099 |   -0.9171 |    -2.037 |
+#> |.....................|    -4.560 |    0.1996 |     1.929 |   0.03088 |
+#> |.....................|    0.8179 |   0.06907 |    0.6944 |    0.6816 |
+#> |.....................|     1.494 |    0.9641 |    0.7580 |     1.845 |
+#> |    X|     466.84409 |     92.47 |  0.002245 |    0.2856 |    0.1304 |
+#> |.....................|   0.01046 |    0.5497 |     1.929 |   0.03088 |
+#> |.....................|    0.8179 |   0.06907 |    0.6944 |    0.6816 |
+#> |.....................|     1.494 |    0.9641 |    0.7580 |     1.845 |
+#> |    F| Forward Diff. |     3.205 |  -0.09489 |     1.201 |    0.1289 |
+#> |.....................|   -0.3142 |   -0.9889 |   -0.7667 |    -1.156 |
+#> |.....................|    0.7401 |    0.5570 |     1.301 |    -1.479 |
+#> |.....................|    -1.860 |   -0.4540 |   -0.5722 |   -0.5005 |
+#> |  128|     466.83069 |     1.016 |    -1.897 |   -0.9405 |   -0.7762 |
+#> |.....................|   -0.9462 |    -1.443 |     1.775 |    -1.825 |
+#> |.....................|   -0.9047 |   -0.5101 |   -0.9307 |    -1.119 |
+#> |.....................|   -0.6046 |   -0.8636 |   -0.9969 |   -0.3435 |
+#> |    U|     466.83069 |     92.41 |    -6.097 |   -0.9168 |    -2.039 |
+#> |.....................|    -4.559 |    0.2019 |     1.929 |   0.03091 |
+#> |.....................|    0.8175 |   0.06904 |    0.6917 |    0.6819 |
+#> |.....................|     1.494 |    0.9635 |    0.7572 |     1.850 |
+#> |    X|     466.83069 |     92.41 |  0.002250 |    0.2856 |    0.1302 |
+#> |.....................|   0.01048 |    0.5503 |     1.929 |   0.03091 |
+#> |.....................|    0.8175 |   0.06904 |    0.6917 |    0.6819 |
+#> |.....................|     1.494 |    0.9635 |    0.7572 |     1.850 |
+#> |  129|     466.81923 |     1.016 |    -1.894 |   -0.9398 |   -0.7773 |
+#> |.....................|   -0.9447 |    -1.438 |     1.775 |    -1.824 |
+#> |.....................|   -0.9056 |   -0.5113 |   -0.9343 |    -1.119 |
+#> |.....................|   -0.6049 |   -0.8643 |   -0.9979 |   -0.3395 |
+#> |    U|     466.81923 |     92.43 |    -6.094 |   -0.9162 |    -2.040 |
+#> |.....................|    -4.557 |    0.2043 |     1.930 |   0.03094 |
+#> |.....................|    0.8171 |   0.06900 |    0.6890 |    0.6818 |
+#> |.....................|     1.494 |    0.9628 |    0.7563 |     1.854 |
+#> |    X|     466.81923 |     92.43 |  0.002255 |    0.2857 |    0.1301 |
+#> |.....................|   0.01049 |    0.5509 |     1.930 |   0.03094 |
+#> |.....................|    0.8171 |   0.06900 |    0.6890 |    0.6818 |
+#> |.....................|     1.494 |    0.9628 |    0.7563 |     1.854 |
+#> |  130|     466.78977 |     1.016 |    -1.887 |   -0.9376 |   -0.7810 |
+#> |.....................|   -0.9400 |    -1.422 |     1.776 |    -1.820 |
+#> |.....................|   -0.9086 |   -0.5153 |   -0.9461 |    -1.119 |
+#> |.....................|   -0.6057 |   -0.8666 |    -1.001 |   -0.3266 |
+#> |    U|     466.78977 |     92.47 |    -6.087 |   -0.9142 |    -2.043 |
+#> |.....................|    -4.552 |    0.2120 |     1.930 |   0.03105 |
+#> |.....................|    0.8159 |   0.06889 |    0.6804 |    0.6815 |
+#> |.....................|     1.493 |    0.9606 |    0.7533 |     1.870 |
+#> |    X|     466.78977 |     92.47 |  0.002272 |    0.2861 |    0.1296 |
+#> |.....................|   0.01054 |    0.5528 |     1.930 |   0.03105 |
+#> |.....................|    0.8159 |   0.06889 |    0.6804 |    0.6815 |
+#> |.....................|     1.493 |    0.9606 |    0.7533 |     1.870 |
+#> |  131|     466.76586 |     1.017 |    -1.875 |   -0.9340 |   -0.7871 |
+#> |.....................|   -0.9321 |    -1.394 |     1.779 |    -1.814 |
+#> |.....................|   -0.9134 |   -0.5218 |   -0.9656 |    -1.119 |
+#> |.....................|   -0.6071 |   -0.8705 |    -1.007 |   -0.3052 |
+#> |    U|     466.76586 |     92.53 |    -6.075 |   -0.9110 |    -2.049 |
+#> |.....................|    -4.545 |    0.2247 |     1.931 |   0.03121 |
+#> |.....................|    0.8139 |   0.06870 |    0.6661 |    0.6811 |
+#> |.....................|     1.491 |    0.9569 |    0.7485 |     1.896 |
+#> |    X|     466.76586 |     92.53 |  0.002300 |    0.2868 |    0.1288 |
+#> |.....................|   0.01062 |    0.5559 |     1.931 |   0.03121 |
+#> |.....................|    0.8139 |   0.06870 |    0.6661 |    0.6811 |
+#> |.....................|     1.491 |    0.9569 |    0.7485 |     1.896 |
+#> |    F| Forward Diff. |     10.71 |  -0.05605 |     1.440 |   0.09508 |
+#> |.....................|   -0.1459 |   -0.5070 |   -0.9907 |   -0.8007 |
+#> |.....................|    0.4069 |    0.2923 |   0.01818 |    -1.553 |
+#> |.....................|    -1.109 |   -0.3306 |   -0.3991 |   -0.2309 |
+#> |  132|     466.72646 |     1.014 |    -1.848 |   -0.9815 |   -0.8092 |
+#> |.....................|   -0.9160 |    -1.342 |     1.783 |    -1.808 |
+#> |.....................|   -0.9032 |   -0.5322 |   -0.9570 |    -1.117 |
+#> |.....................|   -0.6032 |   -0.8748 |    -1.022 |   -0.2748 |
+#> |    U|     466.72646 |     92.30 |    -6.048 |   -0.9533 |    -2.072 |
+#> |.....................|    -4.528 |    0.2483 |     1.933 |   0.03140 |
+#> |.....................|    0.8182 |   0.06840 |    0.6724 |    0.6828 |
+#> |.....................|     1.496 |    0.9528 |    0.7357 |     1.933 |
+#> |    X|     466.72646 |     92.30 |  0.002362 |    0.2782 |    0.1260 |
+#> |.....................|   0.01080 |    0.5618 |     1.933 |   0.03140 |
+#> |.....................|    0.8182 |   0.06840 |    0.6724 |    0.6828 |
+#> |.....................|     1.496 |    0.9528 |    0.7357 |     1.933 |
+#> |    F| Forward Diff. |    -13.11 |  -0.01237 |   -0.5306 |  0.001870 |
+#> |.....................|   0.01074 | -0.001553 |   -0.5011 |    -1.124 |
+#> |.....................|    0.5240 |    0.3999 |    0.1337 |    0.6209 |
+#> |.....................|   -0.3667 |   -0.5464 |   -0.9326 |   -0.1861 |
+#> |  133|     466.72714 |     1.014 |    -1.830 |   -0.9704 |   -0.8250 |
+#> |.....................|   -0.9153 |    -1.342 |     1.791 |    -1.785 |
+#> |.....................|   -0.9449 |   -0.5943 |   -0.9266 |    -1.116 |
+#> |.....................|   -0.5962 |   -0.8737 |    -1.020 |   -0.2698 |
+#> |    U|     466.72714 |     92.32 |    -6.030 |   -0.9434 |    -2.087 |
+#> |.....................|    -4.528 |    0.2486 |     1.936 |   0.03205 |
+#> |.....................|    0.8009 |   0.06660 |    0.6946 |    0.6846 |
+#> |.....................|     1.504 |    0.9539 |    0.7372 |     1.939 |
+#> |    X|     466.72714 |     92.32 |  0.002405 |    0.2802 |    0.1240 |
+#> |.....................|   0.01081 |    0.5618 |     1.936 |   0.03205 |
+#> |.....................|    0.8009 |   0.06660 |    0.6946 |    0.6846 |
+#> |.....................|     1.504 |    0.9539 |    0.7372 |     1.939 |
+#> |  134|     466.69721 |     1.015 |    -1.839 |   -0.9760 |   -0.8170 |
+#> |.....................|   -0.9156 |    -1.342 |     1.787 |    -1.797 |
+#> |.....................|   -0.9238 |   -0.5630 |   -0.9420 |    -1.117 |
+#> |.....................|   -0.5997 |   -0.8742 |    -1.021 |   -0.2723 |
+#> |    U|     466.69721 |     92.41 |    -6.039 |   -0.9484 |    -2.079 |
+#> |.....................|    -4.528 |    0.2485 |     1.935 |   0.03173 |
+#> |.....................|    0.8096 |   0.06750 |    0.6834 |    0.6836 |
+#> |.....................|     1.500 |    0.9534 |    0.7365 |     1.936 |
+#> |    X|     466.69721 |     92.41 |  0.002383 |    0.2792 |    0.1250 |
+#> |.....................|   0.01080 |    0.5618 |     1.935 |   0.03173 |
+#> |.....................|    0.8096 |   0.06750 |    0.6834 |    0.6836 |
+#> |.....................|     1.500 |    0.9534 |    0.7365 |     1.936 |
+#> |    F| Forward Diff. |    0.5723 |  0.006769 |   -0.2879 |  -0.06332 |
+#> |.....................|   0.01114 |  -0.03155 |   -0.3915 |   -0.7923 |
+#> |.....................|   -0.3201 |   -0.2330 |    0.8086 |    -1.424 |
+#> |.....................|   -0.3663 |   -0.4815 |   -0.7933 |   -0.2384 |
+#> |  135|     466.73286 |     1.017 |    -1.834 |   -0.9731 |   -0.8131 |
+#> |.....................|   -0.9227 |    -1.351 |     1.796 |    -1.779 |
+#> |.....................|   -0.9201 |   -0.5595 |   -0.9572 |    -1.109 |
+#> |.....................|   -0.6142 |   -0.8686 |    -1.016 |   -0.2440 |
+#> |    U|     466.73286 |     92.54 |    -6.034 |   -0.9458 |    -2.075 |
+#> |.....................|    -4.535 |    0.2444 |     1.938 |   0.03223 |
+#> |.....................|    0.8111 |   0.06760 |    0.6723 |    0.6901 |
+#> |.....................|     1.483 |    0.9587 |    0.7409 |     1.970 |
+#> |    X|     466.73286 |     92.54 |  0.002396 |    0.2797 |    0.1255 |
+#> |.....................|   0.01072 |    0.5608 |     1.938 |   0.03223 |
+#> |.....................|    0.8111 |   0.06760 |    0.6723 |    0.6901 |
+#> |.....................|     1.483 |    0.9587 |    0.7409 |     1.970 |
+#> |  136|     466.69733 |     1.015 |    -1.838 |   -0.9750 |   -0.8159 |
+#> |.....................|   -0.9176 |    -1.345 |     1.790 |    -1.791 |
+#> |.....................|   -0.9226 |   -0.5619 |   -0.9467 |    -1.114 |
+#> |.....................|   -0.6033 |   -0.8723 |    -1.019 |   -0.2644 |
+#> |    U|     466.69733 |     92.40 |    -6.038 |   -0.9475 |    -2.078 |
+#> |.....................|    -4.530 |    0.2474 |     1.936 |   0.03188 |
+#> |.....................|    0.8101 |   0.06754 |    0.6799 |    0.6863 |
+#> |.....................|     1.496 |    0.9552 |    0.7382 |     1.945 |
+#> |    X|     466.69733 |     92.40 |  0.002386 |    0.2794 |    0.1251 |
+#> |.....................|   0.01078 |    0.5615 |     1.936 |   0.03188 |
+#> |.....................|    0.8101 |   0.06754 |    0.6799 |    0.6863 |
+#> |.....................|     1.496 |    0.9552 |    0.7382 |     1.945 |
+#> |  137|     466.69584 |     1.015 |    -1.839 |   -0.9754 |   -0.8165 |
+#> |.....................|   -0.9164 |    -1.343 |     1.788 |    -1.794 |
+#> |.....................|   -0.9231 |   -0.5623 |   -0.9445 |    -1.114 |
+#> |.....................|   -0.6009 |   -0.8731 |    -1.020 |   -0.2689 |
+#> |    U|     466.69584 |     92.37 |    -6.039 |   -0.9478 |    -2.079 |
+#> |.....................|    -4.529 |    0.2480 |     1.935 |   0.03180 |
+#> |.....................|    0.8099 |   0.06752 |    0.6815 |    0.6857 |
+#> |.....................|     1.499 |    0.9544 |    0.7377 |     1.940 |
+#> |    X|     466.69584 |     92.37 |  0.002384 |    0.2793 |    0.1251 |
+#> |.....................|   0.01079 |    0.5617 |     1.935 |   0.03180 |
+#> |.....................|    0.8099 |   0.06752 |    0.6815 |    0.6857 |
+#> |.....................|     1.499 |    0.9544 |    0.7377 |     1.940 |
+#> |    F| Forward Diff. |    -3.069 | -0.001275 |   -0.2861 |  -0.04975 |
+#> |.....................|   0.01387 |  -0.05203 |   -0.3437 |   -0.7173 |
+#> |.....................|   -0.2694 |   -0.1778 |    0.5026 |    0.8511 |
+#> |.....................|   -0.9213 |   -0.7376 |   -0.9765 |   -0.1682 |
+#> |  138|     466.68962 |     1.016 |    -1.839 |   -0.9764 |   -0.8159 |
+#> |.....................|   -0.9167 |    -1.342 |     1.790 |    -1.793 |
+#> |.....................|   -0.9191 |   -0.5597 |   -0.9461 |    -1.115 |
+#> |.....................|   -0.6002 |   -0.8712 |    -1.018 |   -0.2680 |
+#> |    U|     466.68962 |     92.46 |    -6.039 |   -0.9488 |    -2.078 |
+#> |.....................|    -4.529 |    0.2485 |     1.936 |   0.03184 |
+#> |.....................|    0.8115 |   0.06760 |    0.6803 |    0.6854 |
+#> |.....................|     1.499 |    0.9562 |    0.7392 |     1.941 |
+#> |    X|     466.68962 |     92.46 |  0.002385 |    0.2791 |    0.1251 |
+#> |.....................|   0.01079 |    0.5618 |     1.936 |   0.03184 |
+#> |.....................|    0.8115 |   0.06760 |    0.6803 |    0.6854 |
+#> |.....................|     1.499 |    0.9562 |    0.7392 |     1.941 |
+#> |    F| Forward Diff. |     6.342 |  0.001592 |   -0.2787 |  -0.05882 |
+#> |.....................|  0.004933 |  -0.02534 |   -0.4440 |   -0.5467 |
+#> |.....................|   -0.1484 |  -0.03146 |    0.4648 |    -1.264 |
+#> |.....................|   -0.3607 |   -0.2274 |   -0.5157 |   -0.1312 |
+#> |  139|     466.68314 |     1.015 |    -1.839 |   -0.9751 |   -0.8151 |
+#> |.....................|   -0.9166 |    -1.339 |     1.792 |    -1.792 |
+#> |.....................|   -0.9160 |   -0.5585 |   -0.9470 |    -1.115 |
+#> |.....................|   -0.5998 |   -0.8691 |    -1.016 |   -0.2676 |
+#> |    U|     466.68314 |     92.36 |    -6.039 |   -0.9476 |    -2.077 |
+#> |.....................|    -4.529 |    0.2501 |     1.937 |   0.03187 |
+#> |.....................|    0.8128 |   0.06763 |    0.6797 |    0.6853 |
+#> |.....................|     1.500 |    0.9582 |    0.7404 |     1.942 |
+#> |    X|     466.68314 |     92.36 |  0.002385 |    0.2794 |    0.1252 |
+#> |.....................|   0.01079 |    0.5622 |     1.937 |   0.03187 |
+#> |.....................|    0.8128 |   0.06763 |    0.6797 |    0.6853 |
+#> |.....................|     1.500 |    0.9582 |    0.7404 |     1.942 |
+#> |    F| Forward Diff. |    -4.258 |-0.0003497 |   -0.2788 |  -0.03383 |
+#> |.....................|   0.01408 |   0.02647 |   -0.2857 |   -0.5956 |
+#> |.....................|  -0.05089 |   0.05050 |    0.4395 |    0.8187 |
+#> |.....................|   -0.2669 |  -0.06868 |   -0.3694 |   -0.1159 |
+#> |  140|     466.67997 |     1.015 |    -1.839 |   -0.9739 |   -0.8142 |
+#> |.....................|   -0.9180 |    -1.339 |     1.794 |    -1.790 |
+#> |.....................|   -0.9137 |   -0.5623 |   -0.9494 |    -1.116 |
+#> |.....................|   -0.6002 |   -0.8690 |    -1.016 |   -0.2664 |
+#> |    U|     466.67997 |     92.38 |    -6.039 |   -0.9465 |    -2.077 |
+#> |.....................|    -4.531 |    0.2499 |     1.938 |   0.03191 |
+#> |.....................|    0.8138 |   0.06752 |    0.6779 |    0.6846 |
+#> |.....................|     1.499 |    0.9583 |    0.7410 |     1.943 |
+#> |    X|     466.67997 |     92.38 |  0.002385 |    0.2796 |    0.1254 |
+#> |.....................|   0.01078 |    0.5622 |     1.938 |   0.03191 |
+#> |.....................|    0.8138 |   0.06752 |    0.6779 |    0.6846 |
+#> |.....................|     1.499 |    0.9583 |    0.7410 |     1.943 |
+#> |    M|   Mixed Diff. |    -1.882 |-7.391e+04 |   -0.2259 |  -0.03295 |
+#> |.....................|  0.005718 |   0.01130 |   -0.3842 |   -0.4930 |
+#> |.....................|  -0.04972 |  -0.05953 |    0.5251 |    -1.398 |
+#> |.....................|   -0.3564 |  -0.08212 |   -0.3242 |   -0.1008 |
+#> |  141|     466.67997 |     1.015 |    -1.839 |   -0.9739 |   -0.8142 |
+#> |.....................|   -0.9180 |    -1.339 |     1.794 |    -1.790 |
+#> |.....................|   -0.9137 |   -0.5623 |   -0.9494 |    -1.116 |
+#> |.....................|   -0.6002 |   -0.8690 |    -1.016 |   -0.2664 |
+#> |    U|     466.67997 |     92.38 |    -6.039 |   -0.9465 |    -2.077 |
+#> |.....................|    -4.531 |    0.2499 |     1.938 |   0.03191 |
+#> |.....................|    0.8138 |   0.06752 |    0.6779 |    0.6846 |
+#> |.....................|     1.499 |    0.9583 |    0.7410 |     1.943 |
+#> |    X|     466.67997 |     92.38 |  0.002385 |    0.2796 |    0.1254 |
+#> |.....................|   0.01078 |    0.5622 |     1.938 |   0.03191 |
+#> |.....................|    0.8138 |   0.06752 |    0.6779 |    0.6846 |
+#> |.....................|     1.499 |    0.9583 |    0.7410 |     1.943 |
+#> calculating covariance matrix
+#> done
+#> Calculating residuals/tables
+#> done
+#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))
+#> Warning: ETAs were reset to zero during optimization; (Can control by foceiControl(resetEtaP=.))
+#> Warning: using R matrix to calculate covariance, can check sandwich or S matrix with $covRS and $covS
+#> Warning: gradient problems with initial estimate and covariance; see $scaleInfo
+
+AIC(
+  f_nlmixr_sfo_sfo_focei_const$nm,
+  f_nlmixr_fomc_sfo_focei_const$nm,
+  f_nlmixr_dfop_sfo_focei_const$nm,
+  f_nlmixr_fomc_sfo_saem_obs$nm,
+  f_nlmixr_fomc_sfo_focei_obs$nm,
+  f_nlmixr_dfop_sfo_saem_obs$nm,
+  f_nlmixr_dfop_sfo_focei_obs$nm,
+  f_nlmixr_fomc_sfo_focei_tc$nm,
+  f_nlmixr_dfop_sfo_focei_tc$nm,
+  f_nlmixr_fomc_sfo_saem_obs_tc$nm,
+  f_nlmixr_fomc_sfo_focei_obs_tc$nm,
+  f_nlmixr_dfop_sfo_saem_obs_tc$nm,
+  f_nlmixr_dfop_sfo_focei_obs_tc$nm
+)
+#> Calculating -2LL by Gaussian quadrature (nnodes=3,nsd=1.6)
+#> 
+#> Calculating -2LL by Gaussian quadrature (nnodes=3,nsd=1.6)
+#> 
+#> Calculating -2LL by Gaussian quadrature (nnodes=3,nsd=1.6)
+#> 
+#> Calculating -2LL by Gaussian quadrature (nnodes=3,nsd=1.6)
+#> 
+#>                                   df       AIC
+#> f_nlmixr_sfo_sfo_focei_const$nm    9 1082.4605
+#> f_nlmixr_fomc_sfo_focei_const$nm  11  814.4261
+#> f_nlmixr_dfop_sfo_focei_const$nm  13  870.2659
+#> f_nlmixr_fomc_sfo_saem_obs$nm     12  788.8373
+#> f_nlmixr_fomc_sfo_focei_obs$nm    12  794.5194
+#> f_nlmixr_dfop_sfo_saem_obs$nm     14  815.0797
+#> f_nlmixr_dfop_sfo_focei_obs$nm    14  834.8474
+#> f_nlmixr_fomc_sfo_focei_tc$nm     12  812.3296
+#> f_nlmixr_dfop_sfo_focei_tc$nm     14  819.4103
+#> f_nlmixr_fomc_sfo_saem_obs_tc$nm  14  814.4248
+#> f_nlmixr_fomc_sfo_focei_obs_tc$nm 14  787.4355
+#> f_nlmixr_dfop_sfo_saem_obs_tc$nm  16  828.5143
+#> f_nlmixr_dfop_sfo_focei_obs_tc$nm 16  811.1191
+# Currently, FOMC-SFO with two-component error by variable fitted by focei gives the
+# lowest AIC
+plot(f_nlmixr_fomc_sfo_focei_obs_tc)
+
+summary(f_nlmixr_fomc_sfo_focei_obs_tc)
+#> nlmixr version used for fitting:    2.0.6 
+#> mkin version used for pre-fitting:  1.1.0 
+#> R version used for fitting:         4.1.2 
+#> Date of fit:     Wed Mar  2 18:01:07 2022 
+#> Date of summary: Wed Mar  2 18:02:45 2022 
+#> 
+#> Equations:
+#> d_parent/dt = - (alpha/beta) * 1/((time/beta) + 1) * parent
+#> d_A1/dt = + f_parent_to_A1 * (alpha/beta) * 1/((time/beta) + 1) *
+#>            parent - k_A1 * A1
+#> 
+#> Data:
+#> 170 observations of 2 variable(s) grouped in 5 datasets
+#> 
+#> Degradation model predictions using RxODE
+#> 
+#> Fitted in 17.315 s
+#> 
+#> Variance model: Two-component variance unique to each observed variable 
+#> 
+#> Mean of starting values for individual parameters:
+#>        parent_0        log_k_A1 f_parent_qlogis       log_alpha        log_beta 
+#>         93.1168         -5.3034         -0.9442         -0.1065          2.2909 
+#> 
+#> Mean of starting values for error model parameters:
+#> sigma_low_parent  rsd_high_parent     sigma_low_A1      rsd_high_A1 
+#>          1.15958          0.03005          1.15958          0.03005 
+#> 
+#> Fixed degradation parameter values:
+#> None
+#> 
+#> Results:
+#> 
+#> Likelihood calculated by focei  
+#>     AIC   BIC logLik
+#>   787.4 831.3 -379.7
+#> 
+#> Optimised parameters:
+#>                    est.   lower   upper
+#> parent_0        93.6717 91.2552 96.0882
+#> log_k_A1        -6.3199 -8.4468 -4.1930
+#> f_parent_qlogis -1.0089 -1.3823 -0.6356
+#> log_alpha       -0.1616 -0.6624  0.3392
+#> log_beta         2.2088  1.6800  2.7376
+#> 
+#> Correlation: 
+#>                 parnt_0 lg_k_A1 f_prnt_ log_lph
+#> log_k_A1         0.3717                        
+#> f_parent_qlogis -0.7856 -0.4088                
+#> log_alpha        0.3361  0.9419 -0.3063        
+#> log_beta        -0.3985 -0.7595  0.2484 -0.5549
+#> 
+#> Random effects (omega):
+#>                     eta.parent_0 eta.log_k_A1 eta.f_parent_qlogis eta.log_alpha
+#> eta.parent_0               4.391        0.000              0.0000        0.0000
+#> eta.log_k_A1               0.000        6.402              0.0000        0.0000
+#> eta.f_parent_qlogis        0.000        0.000              0.1584        0.0000
+#> eta.log_alpha              0.000        0.000              0.0000        0.3381
+#> eta.log_beta               0.000        0.000              0.0000        0.0000
+#>                     eta.log_beta
+#> eta.parent_0               0.000
+#> eta.log_k_A1               0.000
+#> eta.f_parent_qlogis        0.000
+#> eta.log_alpha              0.000
+#> eta.log_beta               0.358
+#> 
+#> Variance model:
+#> sigma_low_parent  rsd_high_parent     sigma_low_A1      rsd_high_A1 
+#>          2.35616          0.00153          0.63564          0.08639 
+#> 
+#> Backtransformed parameters:
+#>                   est.     lower   upper
+#> parent_0       93.6717 9.126e+01 96.0882
+#> k_A1            0.0018 2.146e-04  0.0151
+#> f_parent_to_A1  0.2672 2.006e-01  0.3462
+#> alpha           0.8508 5.156e-01  1.4038
+#> beta            9.1049 5.366e+00 15.4499
+#> 
+#> Resulting formation fractions:
+#>                 ff
+#> parent_A1   0.2672
+#> parent_sink 0.7328
+#> 
+#> Estimated disappearance times:
+#>          DT50   DT90 DT50back
+#> parent  11.46  127.3    38.31
+#> A1     385.05 1279.1       NA
+
+# Two parallel metabolites
+dmta_ds <- lapply(1:7, function(i) {
+  ds_i <- dimethenamid_2018$ds[[i]]$data
+  ds_i[ds_i$name == "DMTAP", "name"] <-  "DMTA"
+  ds_i$time <- ds_i$time * dimethenamid_2018$f_time_norm[i]
+  ds_i
+})
+names(dmta_ds) <- sapply(dimethenamid_2018$ds, function(ds) ds$title)
+dmta_ds[["Elliot"]] <- rbind(dmta_ds[["Elliot 1"]], dmta_ds[["Elliot 2"]])
+dmta_ds[["Elliot 1"]] <- NULL
+dmta_ds[["Elliot 2"]] <- NULL
+sfo_sfo2 <- mkinmod(
+  DMTA = mkinsub("SFO", c("M23", "M27")),
+  M23 = mkinsub("SFO"),
+  M27 = mkinsub("SFO"),
+  quiet = TRUE
+)
+f_dmta_sfo_sfo2 <- mmkin(
+  list("SFO-SFO2" = sfo_sfo2),
+  dmta_ds, quiet = TRUE, error_model = "obs")
+nlmixr_model(f_dmta_sfo_sfo2)
+#> function () 
+#> {
+#>     ini({
+#>         DMTA_0 = 97
+#>         eta.DMTA_0 ~ 2
+#>         log_k_DMTA = -2.9
+#>         eta.log_k_DMTA ~ 0.66
+#>         log_k_M23 = -3.8
+#>         eta.log_k_M23 ~ 0.52
+#>         log_k_M27 = -5.7
+#>         eta.log_k_M27 ~ 2
+#>         f_DMTA_tffm0_1_qlogis = -2.1
+#>         eta.f_DMTA_tffm0_1_qlogis ~ 0.3
+#>         f_DMTA_tffm0_2_qlogis = -2
+#>         eta.f_DMTA_tffm0_2_qlogis ~ 0.3
+#>         sigma_DMTA = 2.1
+#>         sigma_M23 = 0.71
+#>         sigma_M27 = 0.56
+#>     })
+#>     model({
+#>         DMTA_0_model = DMTA_0 + eta.DMTA_0
+#>         DMTA(0) = DMTA_0_model
+#>         k_DMTA = exp(log_k_DMTA + eta.log_k_DMTA)
+#>         k_M23 = exp(log_k_M23 + eta.log_k_M23)
+#>         k_M27 = exp(log_k_M27 + eta.log_k_M27)
+#>         f_DMTA_tffm0_1 = expit(f_DMTA_tffm0_1_qlogis + eta.f_DMTA_tffm0_1_qlogis)
+#>         f_DMTA_tffm0_2 = expit(f_DMTA_tffm0_2_qlogis + eta.f_DMTA_tffm0_2_qlogis)
+#>         f_DMTA_to_M23 = f_DMTA_tffm0_1
+#>         f_DMTA_to_M27 = f_DMTA_tffm0_2 * (1 - f_DMTA_tffm0_1)
+#>         d/dt(DMTA) = -k_DMTA * DMTA
+#>         d/dt(M23) = +f_DMTA_to_M23 * k_DMTA * DMTA - k_M23 * 
+#>             M23
+#>         d/dt(M27) = +f_DMTA_to_M27 * k_DMTA * DMTA - k_M27 * 
+#>             M27
+#>         DMTA ~ add(sigma_DMTA)
+#>         M23 ~ add(sigma_M23)
+#>         M27 ~ add(sigma_M27)
+#>     })
+#> }
+#> <environment: 0x555564ac3818>
+nlmixr_focei_dmta_sfo_sfo2 <- nlmixr(f_dmta_sfo_sfo2, est = "focei")
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → calculate jacobian
+#> 
+#> → calculate sensitivities
+#> 
+#> → calculate ∂(f)/∂(η)
+#> 
+#> → calculate ∂(R²)/∂(η)
+#> 
+#> → finding duplicate expressions in inner model...
+#> 
+#> → optimizing duplicate expressions in inner model...
+#> 
+#> → finding duplicate expressions in EBE model...
+#> 
+#> → optimizing duplicate expressions in EBE model...
+#> 
+#> → compiling inner model...
+#>  
+#> ✔ done
+#> → finding duplicate expressions in FD model...
+#> 
+#> → optimizing duplicate expressions in FD model...
+#> 
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> → compiling events FD model...
+#>  
+#> ✔ done
+#> Needed Covariates:
+#> [1] "CMT"
+#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
+#> F: Forward difference gradient approximation
+#> C: Central difference gradient approximation
+#> M: Mixed forward and central difference gradient approximation
+#> Unscaled parameters for Omegas=chol(solve(omega));
+#> Diagonals are transformed, as specified by foceiControl(diagXform=)
+#> |-----+---------------+-----------+-----------+-----------+-----------|
+#> |    #| Objective Fun |    DMTA_0 |log_k_DMTA | log_k_M23 | log_k_M27 |
+#> |.....................|f_DMTA_tffm0_1_qlogis |f_DMTA_tffm0_2_qlogis |sigma_DMTA | sigma_M23 |
+#> |.....................| sigma_M27 |        o1 |        o2 |        o3 |
+#> |.....................|        o4 |        o5 |        o6 |...........|
+#> |    1|     833.04051 |     1.000 |   -0.9455 |   -0.9630 |    -1.000 |
+#> |.....................|   -0.9299 |   -0.9279 |   -0.8481 |   -0.8752 |
+#> |.....................|   -0.8781 |   -0.8726 |   -0.8674 |   -0.8661 |
+#> |.....................|   -0.8726 |   -0.8627 |   -0.8627 |...........|
+#> |    U|     833.04051 |     97.00 |    -2.900 |    -3.800 |    -5.700 |
+#> |.....................|    -2.100 |    -2.000 |     2.100 |    0.7100 |
+#> |.....................|    0.5600 |    0.8409 |     1.109 |     1.178 |
+#> |.....................|    0.8409 |     1.351 |     1.351 |...........|
+#> |    X|     833.04051 |     97.00 |   0.05502 |   0.02237 |  0.003346 |
+#> |.....................|    0.1091 |    0.1192 |     2.100 |    0.7100 |
+#> |.....................|    0.5600 |    0.8409 |     1.109 |     1.178 |
+#> |.....................|    0.8409 |     1.351 |     1.351 |...........|
+#> |    G|    Gill Diff. |     6.064 |   -0.2569 |     9.159 |    -2.987 |
+#> |.....................|    -5.463 |     1.428 |    -91.01 |    -64.30 |
+#> |.....................|    -105.9 |     2.473 |    -10.56 |     26.93 |
+#> |.....................|    -2.864 |    -10.73 |    -1.863 |...........|
+#> |    2|     790.03872 |    0.9615 |   -0.9438 |    -1.021 |   -0.9810 |
+#> |.....................|   -0.8952 |   -0.9370 |   -0.2698 |   -0.4666 |
+#> |.....................|   -0.2051 |   -0.8883 |   -0.8003 |    -1.037 |
+#> |.....................|   -0.8544 |   -0.7945 |   -0.8508 |...........|
+#> |    U|     790.03872 |     93.26 |    -2.898 |    -3.858 |    -5.681 |
+#> |.....................|    -2.027 |    -2.018 |     2.707 |    0.8550 |
+#> |.....................|    0.7484 |    0.8277 |     1.184 |    0.9761 |
+#> |.....................|    0.8562 |     1.443 |     1.367 |...........|
+#> |    X|     790.03872 |     93.26 |   0.05511 |   0.02111 |  0.003410 |
+#> |.....................|    0.1164 |    0.1173 |     2.707 |    0.8550 |
+#> |.....................|    0.7484 |    0.8277 |     1.184 |    0.9761 |
+#> |.....................|    0.8562 |     1.443 |     1.367 |...........|
+#> |    F| Forward Diff. |    -1203. |    0.1766 |     3.828 |    -3.699 |
+#> |.....................|    -2.277 |    -3.309 |    -7.028 |    -3.626 |
+#> |.....................|    -1.785 |     54.50 |    -5.905 |     3.230 |
+#> |.....................|    -3.377 |    -8.165 |    -1.842 |...........|
+#> |    3|     1615.1823 |     1.259 |   -0.9424 |    -1.076 |   -0.9624 |
+#> |.....................|   -0.8623 |   -0.9445 |    0.2695 |  -0.08596 |
+#> |.....................|    0.4207 |   -0.9180 |   -0.7364 |    -1.197 |
+#> |.....................|   -0.8366 |   -0.7289 |   -0.8393 |...........|
+#> |    U|     1615.1823 |     122.1 |    -2.897 |    -3.913 |    -5.662 |
+#> |.....................|    -1.958 |    -2.033 |     3.274 |    0.9902 |
+#> |.....................|    0.9237 |    0.8027 |     1.255 |    0.7875 |
+#> |.....................|    0.8712 |     1.532 |     1.383 |...........|
+#> |    X|     1615.1823 |     122.1 |   0.05519 |   0.01997 |  0.003474 |
+#> |.....................|    0.1237 |    0.1158 |     3.274 |    0.9902 |
+#> |.....................|    0.9237 |    0.8027 |     1.255 |    0.7875 |
+#> |.....................|    0.8712 |     1.532 |     1.383 |...........|
+#> |    4|     959.79005 |     1.112 |   -0.9439 |    -1.022 |   -0.9806 |
+#> |.....................|   -0.8949 |   -0.9366 |   -0.2689 |   -0.4661 |
+#> |.....................|   -0.2049 |   -0.8952 |   -0.7996 |    -1.038 |
+#> |.....................|   -0.8540 |   -0.7935 |   -0.8506 |...........|
+#> |    U|     959.79005 |     107.9 |    -2.898 |    -3.859 |    -5.681 |
+#> |.....................|    -2.027 |    -2.017 |     2.708 |    0.8552 |
+#> |.....................|    0.7485 |    0.8219 |     1.185 |    0.9756 |
+#> |.....................|    0.8566 |     1.445 |     1.368 |...........|
+#> |    X|     959.79005 |     107.9 |   0.05511 |   0.02110 |  0.003412 |
+#> |.....................|    0.1164 |    0.1174 |     2.708 |    0.8552 |
+#> |.....................|    0.7485 |    0.8219 |     1.185 |    0.9756 |
+#> |.....................|    0.8566 |     1.445 |     1.368 |...........|
+#> |    5|     766.97120 |     1.000 |   -0.9438 |    -1.021 |   -0.9809 |
+#> |.....................|   -0.8951 |   -0.9369 |   -0.2695 |   -0.4665 |
+#> |.....................|   -0.2050 |   -0.8901 |   -0.8001 |    -1.037 |
+#> |.....................|   -0.8543 |   -0.7943 |   -0.8508 |...........|
+#> |    U|      766.9712 |     97.04 |    -2.898 |    -3.858 |    -5.681 |
+#> |.....................|    -2.027 |    -2.018 |     2.707 |    0.8551 |
+#> |.....................|    0.7485 |    0.8262 |     1.184 |    0.9760 |
+#> |.....................|    0.8563 |     1.444 |     1.367 |...........|
+#> |    X|      766.9712 |     97.04 |   0.05511 |   0.02110 |  0.003410 |
+#> |.....................|    0.1164 |    0.1173 |     2.707 |    0.8551 |
+#> |.....................|    0.7485 |    0.8262 |     1.184 |    0.9760 |
+#> |.....................|    0.8563 |     1.444 |     1.367 |...........|
+#> |    F| Forward Diff. |     17.19 |   -0.3226 |     4.073 |    -3.551 |
+#> |.....................|     1.344 |   -0.4208 |     1.861 |    -4.402 |
+#> |.....................|    -3.892 |   -0.6542 |    -5.926 |     4.557 |
+#> |.....................|    -3.217 |    -8.034 |    -1.874 |...........|
+#> |    6|     766.81060 |    0.9993 |   -0.9437 |    -1.024 |   -0.9793 |
+#> |.....................|   -0.8941 |   -0.9371 |   -0.2482 |   -0.4501 |
+#> |.....................|   -0.1789 |   -0.8907 |   -0.7962 |    -1.045 |
+#> |.....................|   -0.8529 |   -0.7898 |   -0.8499 |...........|
+#> |    U|      766.8106 |     96.93 |    -2.898 |    -3.861 |    -5.679 |
+#> |.....................|    -2.025 |    -2.018 |     2.730 |    0.8609 |
+#> |.....................|    0.7558 |    0.8257 |     1.188 |    0.9671 |
+#> |.....................|    0.8575 |     1.450 |     1.368 |...........|
+#> |    X|      766.8106 |     96.93 |   0.05512 |   0.02104 |  0.003416 |
+#> |.....................|    0.1166 |    0.1173 |     2.730 |    0.8609 |
+#> |.....................|    0.7558 |    0.8257 |     1.188 |    0.9671 |
+#> |.....................|    0.8575 |     1.450 |     1.368 |...........|
+#> |    F| Forward Diff. |    -15.39 |   -0.3115 |     3.911 |    -3.585 |
+#> |.....................|     1.518 |   -0.5604 |     3.636 |    -2.887 |
+#> |.....................|    -2.137 |   -0.8386 |    -5.861 |     3.544 |
+#> |.....................|    -3.178 |    -7.806 |    -1.844 |...........|
+#> |    7|     766.54512 |     1.003 |   -0.9428 |    -1.036 |   -0.9690 |
+#> |.....................|   -0.8990 |   -0.9355 |   -0.2617 |   -0.4439 |
+#> |.....................|   -0.1747 |   -0.8835 |   -0.7794 |    -1.053 |
+#> |.....................|   -0.8438 |   -0.7677 |   -0.8446 |...........|
+#> |    U|     766.54512 |     97.33 |    -2.897 |    -3.873 |    -5.669 |
+#> |.....................|    -2.035 |    -2.015 |     2.716 |    0.8631 |
+#> |.....................|    0.7570 |    0.8318 |     1.207 |    0.9569 |
+#> |.....................|    0.8651 |     1.479 |     1.376 |...........|
+#> |    X|     766.54512 |     97.33 |   0.05517 |   0.02081 |  0.003451 |
+#> |.....................|    0.1156 |    0.1176 |     2.716 |    0.8631 |
+#> |.....................|    0.7570 |    0.8318 |     1.207 |    0.9569 |
+#> |.....................|    0.8651 |     1.479 |     1.376 |...........|
+#> |    F| Forward Diff. |     111.5 |   -0.3718 |     3.702 |    -3.687 |
+#> |.....................|    0.8687 |  -0.06529 |     3.022 |    -2.224 |
+#> |.....................|    -1.821 |    0.2102 |    -4.533 |     2.766 |
+#> |.....................|    -2.768 |    -6.628 |    -1.505 |...........|
+#> |    8|     766.09473 |    0.9987 |   -0.9419 |    -1.044 |   -0.9594 |
+#> |.....................|   -0.9033 |   -0.9340 |   -0.2855 |   -0.4478 |
+#> |.....................|   -0.1861 |   -0.8834 |   -0.7664 |    -1.057 |
+#> |.....................|   -0.8361 |   -0.7496 |   -0.8403 |...........|
+#> |    U|     766.09473 |     96.88 |    -2.896 |    -3.881 |    -5.659 |
+#> |.....................|    -2.044 |    -2.012 |     2.691 |    0.8617 |
+#> |.....................|    0.7538 |    0.8318 |     1.221 |    0.9529 |
+#> |.....................|    0.8716 |     1.504 |     1.381 |...........|
+#> |    X|     766.09473 |     96.88 |   0.05522 |   0.02062 |  0.003485 |
+#> |.....................|    0.1146 |    0.1179 |     2.691 |    0.8617 |
+#> |.....................|    0.7538 |    0.8318 |     1.221 |    0.9529 |
+#> |.....................|    0.8716 |     1.504 |     1.381 |...........|
+#> |    F| Forward Diff. |    -37.62 |   -0.3039 |     3.548 |    -3.796 |
+#> |.....................|   -0.7130 |   -0.2251 |    0.3449 |    -2.743 |
+#> |.....................|    -2.783 |   -0.4584 |    -3.845 |     2.208 |
+#> |.....................|    -2.677 |    -5.610 |    -1.259 |...........|
+#> |    9|     765.84632 |     1.001 |   -0.9407 |    -1.057 |   -0.9442 |
+#> |.....................|   -0.9020 |   -0.9332 |   -0.3051 |   -0.4515 |
+#> |.....................|   -0.1945 |   -0.8828 |   -0.7538 |    -1.058 |
+#> |.....................|   -0.8263 |   -0.7302 |   -0.8359 |...........|
+#> |    U|     765.84632 |     97.08 |    -2.895 |    -3.894 |    -5.644 |
+#> |.....................|    -2.041 |    -2.011 |     2.670 |    0.8604 |
+#> |.....................|    0.7514 |    0.8324 |     1.235 |    0.9520 |
+#> |.....................|    0.8799 |     1.530 |     1.387 |...........|
+#> |    X|     765.84632 |     97.08 |   0.05529 |   0.02037 |  0.003538 |
+#> |.....................|    0.1149 |    0.1181 |     2.670 |    0.8604 |
+#> |.....................|    0.7514 |    0.8324 |     1.235 |    0.9520 |
+#> |.....................|    0.8799 |     1.530 |     1.387 |...........|
+#> |    F| Forward Diff. |     27.16 |   -0.3150 |     3.428 |    -3.883 |
+#> |.....................|   -0.2016 |  -0.01587 |   -0.9475 |    -2.944 |
+#> |.....................|    -3.512 |   -0.2026 |    -2.920 |     2.169 |
+#> |.....................|    -2.296 |    -4.549 |   -0.9950 |...........|
+#> |   10|     765.58952 |    0.9994 |   -0.9389 |    -1.074 |   -0.9188 |
+#> |.....................|   -0.8956 |   -0.9340 |   -0.2957 |   -0.4491 |
+#> |.....................|   -0.1815 |   -0.8759 |   -0.7498 |    -1.052 |
+#> |.....................|   -0.8170 |   -0.7204 |   -0.8341 |...........|
+#> |    U|     765.58952 |     96.94 |    -2.893 |    -3.911 |    -5.619 |
+#> |.....................|    -2.028 |    -2.012 |     2.680 |    0.8613 |
+#> |.....................|    0.7550 |    0.8382 |     1.240 |    0.9583 |
+#> |.....................|    0.8877 |     1.543 |     1.390 |...........|
+#> |    X|     765.58952 |     96.94 |   0.05539 |   0.02003 |  0.003629 |
+#> |.....................|    0.1163 |    0.1179 |     2.680 |    0.8613 |
+#> |.....................|    0.7550 |    0.8382 |     1.240 |    0.9583 |
+#> |.....................|    0.8877 |     1.543 |     1.390 |...........|
+#> |   11|     765.32464 |    0.9995 |   -0.9365 |    -1.096 |   -0.8851 |
+#> |.....................|   -0.8870 |   -0.9350 |   -0.2832 |   -0.4460 |
+#> |.....................|   -0.1644 |   -0.8666 |   -0.7446 |    -1.045 |
+#> |.....................|   -0.8047 |   -0.7076 |   -0.8318 |...........|
+#> |    U|     765.32464 |     96.95 |    -2.891 |    -3.933 |    -5.585 |
+#> |.....................|    -2.010 |    -2.014 |     2.693 |    0.8623 |
+#> |.....................|    0.7598 |    0.8459 |     1.246 |    0.9668 |
+#> |.....................|    0.8980 |     1.561 |     1.393 |...........|
+#> |    X|     765.32464 |     96.95 |   0.05552 |   0.01958 |  0.003753 |
+#> |.....................|    0.1182 |    0.1177 |     2.693 |    0.8623 |
+#> |.....................|    0.7598 |    0.8459 |     1.246 |    0.9668 |
+#> |.....................|    0.8980 |     1.561 |     1.393 |...........|
+#> |    F| Forward Diff. |    -12.84 |   -0.1780 |     3.152 |    -3.943 |
+#> |.....................|     3.881 |   -0.7435 |    0.7708 |    -2.561 |
+#> |.....................|    -1.120 |    0.1753 |    -2.364 |     2.891 |
+#> |.....................|    -1.893 |    -3.031 |   -0.9792 |...........|
+#> |   12|     764.89127 |     1.001 |   -0.9331 |    -1.138 |   -0.8186 |
+#> |.....................|   -0.9173 |   -0.9304 |   -0.2709 |   -0.4365 |
+#> |.....................|   -0.1500 |   -0.8575 |   -0.7404 |    -1.047 |
+#> |.....................|   -0.7849 |   -0.6971 |   -0.8273 |...........|
+#> |    U|     764.89127 |     97.05 |    -2.888 |    -3.975 |    -5.519 |
+#> |.....................|    -2.073 |    -2.005 |     2.706 |    0.8657 |
+#> |.....................|    0.7639 |    0.8536 |     1.250 |    0.9649 |
+#> |.....................|    0.9146 |     1.575 |     1.399 |...........|
+#> |    X|     764.89127 |     97.05 |   0.05571 |   0.01878 |  0.004011 |
+#> |.....................|    0.1117 |    0.1187 |     2.706 |    0.8657 |
+#> |.....................|    0.7639 |    0.8536 |     1.250 |    0.9649 |
+#> |.....................|    0.9146 |     1.575 |     1.399 |...........|
+#> |    F| Forward Diff. |     19.26 |   -0.1091 |     2.782 |    -3.871 |
+#> |.....................|    -5.068 |  -0.03848 |     1.779 |    -1.635 |
+#> |.....................|   -0.5035 |    0.4763 |    -2.083 |     2.396 |
+#> |.....................|    -2.295 |    -2.519 |   -0.9166 |...........|
+#> |   13|     764.86909 |    0.9949 |   -0.9319 |    -1.178 |   -0.7471 |
+#> |.....................|   -0.9138 |   -0.9236 |   -0.2803 |   -0.4250 |
+#> |.....................|   -0.1592 |   -0.8601 |   -0.7408 |    -1.068 |
+#> |.....................|   -0.7627 |   -0.7028 |   -0.8216 |...........|
+#> |    U|     764.86909 |     96.51 |    -2.886 |    -4.015 |    -5.447 |
+#> |.....................|    -2.066 |    -1.991 |     2.696 |    0.8698 |
+#> |.....................|    0.7613 |    0.8514 |     1.250 |    0.9401 |
+#> |.....................|    0.9333 |     1.567 |     1.407 |...........|
+#> |    X|     764.86909 |     96.51 |   0.05578 |   0.01803 |  0.004309 |
+#> |.....................|    0.1124 |    0.1201 |     2.696 |    0.8698 |
+#> |.....................|    0.7613 |    0.8514 |     1.250 |    0.9401 |
+#> |.....................|    0.9333 |     1.567 |     1.407 |...........|
+#> |    F| Forward Diff. |    -169.3 |   0.02233 |     2.185 |    -3.786 |
+#> |.....................|    -4.443 |    0.4519 |    0.3349 |   -0.6672 |
+#> |.....................|    -1.014 |     1.036 |    -2.128 |   -0.1909 |
+#> |.....................|    -2.017 |    -2.598 |   -0.8552 |...........|
+#> |   14|     764.27620 |     1.001 |   -0.9315 |    -1.198 |   -0.7106 |
+#> |.....................|   -0.9112 |   -0.9215 |   -0.2834 |   -0.4198 |
+#> |.....................|   -0.1627 |   -0.8638 |   -0.7423 |    -1.077 |
+#> |.....................|   -0.7523 |   -0.7079 |   -0.8190 |...........|
+#> |    U|      764.2762 |     97.07 |    -2.886 |    -4.035 |    -5.411 |
+#> |.....................|    -2.061 |    -1.987 |     2.693 |    0.8716 |
+#> |.....................|    0.7603 |    0.8483 |     1.248 |    0.9297 |
+#> |.....................|    0.9421 |     1.560 |     1.410 |...........|
+#> |    X|      764.2762 |     97.07 |   0.05580 |   0.01769 |  0.004469 |
+#> |.....................|    0.1130 |    0.1206 |     2.693 |    0.8716 |
+#> |.....................|    0.7603 |    0.8483 |     1.248 |    0.9297 |
+#> |.....................|    0.9421 |     1.560 |     1.410 |...........|
+#> |    F| Forward Diff. |     26.99 |  -0.06591 |     1.982 |    -3.655 |
+#> |.....................|    -2.737 |     1.224 |    0.5238 |   -0.1462 |
+#> |.....................|    -1.477 |    0.3446 |    -2.258 |    -1.151 |
+#> |.....................|    -2.063 |    -3.016 |   -0.8065 |...........|
+#> |   15|     764.08600 |    0.9998 |   -0.9318 |    -1.216 |   -0.6718 |
+#> |.....................|   -0.9105 |   -0.9239 |   -0.2868 |   -0.4186 |
+#> |.....................|   -0.1661 |   -0.8701 |   -0.7420 |    -1.077 |
+#> |.....................|   -0.7408 |   -0.7119 |   -0.8158 |...........|
+#> |    U|       764.086 |     96.98 |    -2.886 |    -4.053 |    -5.372 |
+#> |.....................|    -2.059 |    -1.992 |     2.689 |    0.8721 |
+#> |.....................|    0.7594 |    0.8430 |     1.249 |    0.9293 |
+#> |.....................|    0.9517 |     1.555 |     1.415 |...........|
+#> |    X|       764.086 |     96.98 |   0.05578 |   0.01738 |  0.004646 |
+#> |.....................|    0.1131 |    0.1201 |     2.689 |    0.8721 |
+#> |.....................|    0.7594 |    0.8430 |     1.249 |    0.9293 |
+#> |.....................|    0.9517 |     1.555 |     1.415 |...........|
+#> |   16|     763.68333 |    0.9997 |   -0.9325 |    -1.262 |   -0.5698 |
+#> |.....................|   -0.9089 |   -0.9302 |   -0.2957 |   -0.4154 |
+#> |.....................|   -0.1752 |   -0.8867 |   -0.7413 |    -1.078 |
+#> |.....................|   -0.7108 |   -0.7228 |   -0.8074 |...........|
+#> |    U|     763.68333 |     96.97 |    -2.887 |    -4.099 |    -5.270 |
+#> |.....................|    -2.056 |    -2.004 |     2.680 |    0.8732 |
+#> |.....................|    0.7568 |    0.8290 |     1.249 |    0.9281 |
+#> |.....................|    0.9770 |     1.540 |     1.426 |...........|
+#> |    X|     763.68333 |     96.97 |   0.05574 |   0.01659 |  0.005145 |
+#> |.....................|    0.1134 |    0.1187 |     2.680 |    0.8732 |
+#> |.....................|    0.7568 |    0.8290 |     1.249 |    0.9281 |
+#> |.....................|    0.9770 |     1.540 |     1.426 |...........|
+#> |   17|     763.23003 |    0.9993 |   -0.9340 |    -1.363 |   -0.3486 |
+#> |.....................|   -0.9055 |   -0.9438 |   -0.3150 |   -0.4083 |
+#> |.....................|   -0.1949 |   -0.9227 |   -0.7397 |    -1.080 |
+#> |.....................|   -0.6457 |   -0.7464 |   -0.7892 |...........|
+#> |    U|     763.23003 |     96.93 |    -2.889 |    -4.200 |    -5.049 |
+#> |.....................|    -2.049 |    -2.032 |     2.660 |    0.8757 |
+#> |.....................|    0.7513 |    0.7988 |     1.251 |    0.9256 |
+#> |.....................|     1.032 |     1.508 |     1.451 |...........|
+#> |    X|     763.23003 |     96.93 |   0.05566 |   0.01500 |  0.006419 |
+#> |.....................|    0.1142 |    0.1159 |     2.660 |    0.8757 |
+#> |.....................|    0.7513 |    0.7988 |     1.251 |    0.9256 |
+#> |.....................|     1.032 |     1.508 |     1.451 |...........|
+#> |    F| Forward Diff. |    -22.00 |   -0.1117 |    0.5708 |    -1.597 |
+#> |.....................|   -0.5912 |    -4.959 |    -1.502 |     1.095 |
+#> |.....................|    -4.055 |    -1.786 |    -1.932 |    -2.056 |
+#> |.....................|    -2.026 |    -5.307 |    0.1331 |...........|
+#> |   18|     765.10598 |    0.9988 |   -0.9419 |    -1.481 | -0.006130 |
+#> |.....................|   -0.9009 |   -0.7845 |   -0.3455 |   -0.4625 |
+#> |.....................|   -0.1991 |   -0.9538 |   -0.7488 |    -1.046 |
+#> |.....................|   -0.5215 |   -0.7432 |   -0.7830 |...........|
+#> |    U|     765.10598 |     96.88 |    -2.896 |    -4.318 |    -4.706 |
+#> |.....................|    -2.039 |    -1.713 |     2.628 |    0.8565 |
+#> |.....................|    0.7501 |    0.7726 |     1.241 |    0.9658 |
+#> |.....................|     1.136 |     1.513 |     1.459 |...........|
+#> |    X|     765.10598 |     96.88 |   0.05522 |   0.01333 |  0.009040 |
+#> |.....................|    0.1152 |    0.1528 |     2.628 |    0.8565 |
+#> |.....................|    0.7501 |    0.7726 |     1.241 |    0.9658 |
+#> |.....................|     1.136 |     1.513 |     1.459 |...........|
+#> |   19|     763.02578 |    0.9999 |   -0.9358 |    -1.391 |   -0.2684 |
+#> |.....................|   -0.9044 |   -0.9064 |   -0.3221 |   -0.4211 |
+#> |.....................|   -0.1957 |   -0.9299 |   -0.7418 |    -1.072 |
+#> |.....................|   -0.6165 |   -0.7455 |   -0.7877 |...........|
+#> |    U|     763.02578 |     96.99 |    -2.890 |    -4.228 |    -4.968 |
+#> |.....................|    -2.046 |    -1.957 |     2.652 |    0.8712 |
+#> |.....................|    0.7511 |    0.7927 |     1.249 |    0.9351 |
+#> |.....................|     1.056 |     1.510 |     1.452 |...........|
+#> |    X|     763.02578 |     96.99 |   0.05556 |   0.01459 |  0.006954 |
+#> |.....................|    0.1144 |    0.1238 |     2.652 |    0.8712 |
+#> |.....................|    0.7511 |    0.7927 |     1.249 |    0.9351 |
+#> |.....................|     1.056 |     1.510 |     1.452 |...........|
+#> |    F| Forward Diff. |    -1.557 |   -0.1614 |    0.3205 |   -0.9685 |
+#> |.....................|   -0.3267 |     2.395 |    -2.389 |   -0.1069 |
+#> |.....................|    -4.595 |    -2.113 |    -2.097 |    -1.406 |
+#> |.....................|    -1.821 |    -5.218 |   -0.7119 |...........|
+#> |   20|     766.17797 |     1.015 |   -0.9359 |    -1.390 |   -0.2436 |
+#> |.....................|   -0.9043 |   -0.9341 |   -0.3009 |   -0.4312 |
+#> |.....................|   -0.1485 |   -0.9049 |   -0.7235 |    -1.053 |
+#> |.....................|   -0.5884 |   -0.6890 |   -0.7788 |...........|
+#> |    U|     766.17797 |     98.50 |    -2.890 |    -4.227 |    -4.944 |
+#> |.....................|    -2.046 |    -2.012 |     2.675 |    0.8676 |
+#> |.....................|    0.7643 |    0.8138 |     1.269 |    0.9575 |
+#> |.....................|     1.080 |     1.586 |     1.465 |...........|
+#> |    X|     766.17797 |     98.50 |   0.05555 |   0.01460 |  0.007129 |
+#> |.....................|    0.1144 |    0.1179 |     2.675 |    0.8676 |
+#> |.....................|    0.7643 |    0.8138 |     1.269 |    0.9575 |
+#> |.....................|     1.080 |     1.586 |     1.465 |...........|
+#> |   21|     762.99023 |     1.002 |   -0.9356 |    -1.391 |   -0.2672 |
+#> |.....................|   -0.9040 |   -0.9092 |   -0.3192 |   -0.4209 |
+#> |.....................|   -0.1902 |   -0.9274 |   -0.7393 |    -1.070 |
+#> |.....................|   -0.6144 |   -0.7393 |   -0.7869 |...........|
+#> |    U|     762.99023 |     97.17 |    -2.890 |    -4.228 |    -4.967 |
+#> |.....................|    -2.046 |    -1.963 |     2.655 |    0.8713 |
+#> |.....................|    0.7526 |    0.7948 |     1.252 |    0.9371 |
+#> |.....................|     1.058 |     1.518 |     1.454 |...........|
+#> |    X|     762.99023 |     97.17 |   0.05557 |   0.01458 |  0.006962 |
+#> |.....................|    0.1145 |    0.1232 |     2.655 |    0.8713 |
+#> |.....................|    0.7526 |    0.7948 |     1.252 |    0.9371 |
+#> |.....................|     1.058 |     1.518 |     1.454 |...........|
+#> |    F| Forward Diff. |     51.43 |   -0.1841 |    0.3204 |   -0.9603 |
+#> |.....................|  -0.07939 |     1.931 |    -1.965 |   -0.1875 |
+#> |.....................|    -4.362 |    -1.812 |    -1.918 |    -2.236 |
+#> |.....................|    -1.746 |    -4.882 |   -0.6715 |...........|
+#> |   22|     762.91633 |     1.000 |   -0.9363 |    -1.389 |   -0.2610 |
+#> |.....................|   -0.9054 |   -0.9109 |   -0.3206 |   -0.4247 |
+#> |.....................|   -0.1891 |   -0.9263 |   -0.7404 |    -1.066 |
+#> |.....................|   -0.6100 |   -0.7370 |   -0.7858 |...........|
+#> |    U|     762.91633 |     97.00 |    -2.891 |    -4.226 |    -4.961 |
+#> |.....................|    -2.049 |    -1.966 |     2.654 |    0.8699 |
+#> |.....................|    0.7529 |    0.7958 |     1.250 |    0.9417 |
+#> |.....................|     1.062 |     1.521 |     1.455 |...........|
+#> |    X|     762.91633 |     97.00 |   0.05553 |   0.01461 |  0.007006 |
+#> |.....................|    0.1142 |    0.1228 |     2.654 |    0.8699 |
+#> |.....................|    0.7529 |    0.7958 |     1.250 |    0.9417 |
+#> |.....................|     1.062 |     1.521 |     1.455 |...........|
+#> |    F| Forward Diff. |   -0.4218 |   -0.1782 |    0.3230 |   -0.9273 |
+#> |.....................|   -0.6605 |     1.389 |    -2.249 |   -0.4385 |
+#> |.....................|    -3.981 |    -1.888 |    -1.963 |   -0.6447 |
+#> |.....................|    -1.620 |    -4.721 |   -0.6578 |...........|
+#> |   23|     762.84890 |     1.001 |   -0.9361 |    -1.390 |   -0.2598 |
+#> |.....................|   -0.9045 |   -0.9128 |   -0.3175 |   -0.4241 |
+#> |.....................|   -0.1836 |   -0.9236 |   -0.7377 |    -1.066 |
+#> |.....................|   -0.6077 |   -0.7305 |   -0.7849 |...........|
+#> |    U|      762.8489 |     97.05 |    -2.891 |    -4.227 |    -4.960 |
+#> |.....................|    -2.047 |    -1.970 |     2.657 |    0.8701 |
+#> |.....................|    0.7544 |    0.7980 |     1.253 |    0.9427 |
+#> |.....................|     1.064 |     1.530 |     1.456 |...........|
+#> |    X|      762.8489 |     97.05 |   0.05554 |   0.01460 |  0.007015 |
+#> |.....................|    0.1144 |    0.1224 |     2.657 |    0.8701 |
+#> |.....................|    0.7544 |    0.7980 |     1.253 |    0.9427 |
+#> |.....................|     1.064 |     1.530 |     1.456 |...........|
+#> |   24|     762.76203 |     1.002 |   -0.9355 |    -1.391 |   -0.2569 |
+#> |.....................|   -0.9025 |   -0.9170 |   -0.3107 |   -0.4228 |
+#> |.....................|   -0.1716 |   -0.9179 |   -0.7317 |    -1.064 |
+#> |.....................|   -0.6028 |   -0.7161 |   -0.7829 |...........|
+#> |    U|     762.76203 |     97.18 |    -2.890 |    -4.228 |    -4.957 |
+#> |.....................|    -2.042 |    -1.978 |     2.664 |    0.8706 |
+#> |.....................|    0.7578 |    0.8028 |     1.260 |    0.9450 |
+#> |.....................|     1.068 |     1.549 |     1.459 |...........|
+#> |    X|     762.76203 |     97.18 |   0.05557 |   0.01459 |  0.007034 |
+#> |.....................|    0.1148 |    0.1215 |     2.664 |    0.8706 |
+#> |.....................|    0.7578 |    0.8028 |     1.260 |    0.9450 |
+#> |.....................|     1.068 |     1.549 |     1.459 |...........|
+#> |    F| Forward Diff. |     54.31 |   -0.1887 |    0.3021 |   -0.9307 |
+#> |.....................|    0.2254 |    0.1583 |    -1.328 |   -0.4242 |
+#> |.....................|    -2.868 |    -1.362 |    -1.371 |  -0.08091 |
+#> |.....................|    -1.408 |    -3.948 |   -0.5076 |...........|
+#> |   25|     762.67102 |    0.9998 |   -0.9349 |    -1.387 |   -0.2432 |
+#> |.....................|   -0.9003 |   -0.9168 |   -0.3029 |   -0.4253 |
+#> |.....................|   -0.1712 |   -0.9066 |   -0.7353 |    -1.085 |
+#> |.....................|   -0.5940 |   -0.7040 |   -0.7794 |...........|
+#> |    U|     762.67102 |     96.98 |    -2.889 |    -4.224 |    -4.943 |
+#> |.....................|    -2.038 |    -1.978 |     2.672 |    0.8697 |
+#> |.....................|    0.7579 |    0.8123 |     1.256 |    0.9195 |
+#> |.....................|     1.075 |     1.566 |     1.464 |...........|
+#> |    X|     762.67102 |     96.98 |   0.05561 |   0.01464 |  0.007132 |
+#> |.....................|    0.1153 |    0.1216 |     2.672 |    0.8697 |
+#> |.....................|    0.7579 |    0.8123 |     1.256 |    0.9195 |
+#> |.....................|     1.075 |     1.566 |     1.464 |...........|
+#> |    F| Forward Diff. |    -4.974 |   -0.1351 |    0.3572 |   -0.8415 |
+#> |.....................|    0.6736 |   -0.1073 |   -0.7732 |   -0.4654 |
+#> |.....................|    -2.903 |    -1.199 |    -1.653 |    -3.516 |
+#> |.....................|    -1.220 |    -3.098 |   -0.3193 |...........|
+#> |   26|     762.64017 |    0.9999 |   -0.9344 |    -1.376 |   -0.2262 |
+#> |.....................|   -0.9040 |   -0.9165 |   -0.3113 |   -0.4148 |
+#> |.....................|   -0.1768 |   -0.8962 |   -0.7385 |    -1.074 |
+#> |.....................|   -0.5804 |   -0.6983 |   -0.7733 |...........|
+#> |    U|     762.64017 |     96.99 |    -2.889 |    -4.213 |    -4.926 |
+#> |.....................|    -2.046 |    -1.977 |     2.664 |    0.8734 |
+#> |.....................|    0.7564 |    0.8211 |     1.252 |    0.9329 |
+#> |.....................|     1.087 |     1.573 |     1.472 |...........|
+#> |    X|     762.64017 |     96.99 |   0.05564 |   0.01480 |  0.007254 |
+#> |.....................|    0.1145 |    0.1216 |     2.664 |    0.8734 |
+#> |.....................|    0.7564 |    0.8211 |     1.252 |    0.9329 |
+#> |.....................|     1.087 |     1.573 |     1.472 |...........|
+#> |    F| Forward Diff. |    -1.599 |   -0.1184 |    0.4302 |   -0.7157 |
+#> |.....................|   -0.5570 |   -0.2072 |    -1.823 |    0.1166 |
+#> |.....................|    -3.571 |   -0.7852 |    -1.969 |    -1.423 |
+#> |.....................|   -0.5877 |    -2.399 |  -0.03479 |...........|
+#> |   27|     763.13274 |     1.006 |   -0.9334 |    -1.371 |   -0.2107 |
+#> |.....................|   -0.9029 |   -0.9149 |   -0.3061 |   -0.4144 |
+#> |.....................|   -0.1571 |   -0.8894 |   -0.7216 |    -1.068 |
+#> |.....................|   -0.5763 |   -0.6939 |   -0.7717 |...........|
+#> |    U|     763.13274 |     97.59 |    -2.888 |    -4.208 |    -4.911 |
+#> |.....................|    -2.043 |    -1.974 |     2.669 |    0.8736 |
+#> |.....................|    0.7619 |    0.8268 |     1.271 |    0.9397 |
+#> |.....................|     1.090 |     1.579 |     1.474 |...........|
+#> |    X|     763.13274 |     97.59 |   0.05569 |   0.01488 |  0.007367 |
+#> |.....................|    0.1147 |    0.1220 |     2.669 |    0.8736 |
+#> |.....................|    0.7619 |    0.8268 |     1.271 |    0.9397 |
+#> |.....................|     1.090 |     1.579 |     1.474 |...........|
+#> |   28|     762.63967 |     1.001 |   -0.9343 |    -1.377 |   -0.2257 |
+#> |.....................|   -0.9036 |   -0.9164 |   -0.3100 |   -0.4149 |
+#> |.....................|   -0.1742 |   -0.8956 |   -0.7371 |    -1.073 |
+#> |.....................|   -0.5800 |   -0.6966 |   -0.7733 |...........|
+#> |    U|     762.63967 |     97.10 |    -2.889 |    -4.214 |    -4.926 |
+#> |.....................|    -2.045 |    -1.977 |     2.665 |    0.8734 |
+#> |.....................|    0.7571 |    0.8216 |     1.254 |    0.9341 |
+#> |.....................|     1.087 |     1.576 |     1.472 |...........|
+#> |    X|     762.63967 |     97.10 |   0.05564 |   0.01479 |  0.007258 |
+#> |.....................|    0.1146 |    0.1217 |     2.665 |    0.8734 |
+#> |.....................|    0.7571 |    0.8216 |     1.254 |    0.9341 |
+#> |.....................|     1.087 |     1.576 |     1.472 |...........|
+#> |    F| Forward Diff. |     34.39 |   -0.1342 |    0.4309 |   -0.7057 |
+#> |.....................|   -0.3094 |  -0.07498 |    -1.436 |    0.2859 |
+#> |.....................|    -3.195 |   -0.5698 |    -1.754 |    -1.179 |
+#> |.....................|   -0.7834 |    -2.640 |  -0.03401 |...........|
+#> |   29|     762.61838 |    0.9999 |   -0.9342 |    -1.376 |   -0.2247 |
+#> |.....................|   -0.9037 |   -0.9164 |   -0.3101 |   -0.4150 |
+#> |.....................|   -0.1736 |   -0.8955 |   -0.7362 |    -1.073 |
+#> |.....................|   -0.5799 |   -0.6970 |   -0.7733 |...........|
+#> |    U|     762.61838 |     96.99 |    -2.889 |    -4.213 |    -4.925 |
+#> |.....................|    -2.045 |    -1.977 |     2.665 |    0.8733 |
+#> |.....................|    0.7573 |    0.8216 |     1.255 |    0.9344 |
+#> |.....................|     1.087 |     1.575 |     1.472 |...........|
+#> |    X|     762.61838 |     96.99 |   0.05564 |   0.01480 |  0.007265 |
+#> |.....................|    0.1146 |    0.1217 |     2.665 |    0.8733 |
+#> |.....................|    0.7573 |    0.8216 |     1.255 |    0.9344 |
+#> |.....................|     1.087 |     1.575 |     1.472 |...........|
+#> |    F| Forward Diff. |    -1.755 |   -0.1162 |    0.4295 |   -0.7030 |
+#> |.....................|   -0.4902 |   -0.1819 |    -1.508 |    0.3366 |
+#> |.....................|    -3.097 |   -0.6862 |    -1.700 |    -1.138 |
+#> |.....................|   -0.9036 |    -2.963 |  -0.05834 |...........|
+#> |   30|     762.61305 |     1.000 |   -0.9342 |    -1.376 |   -0.2240 |
+#> |.....................|   -0.9037 |   -0.9164 |   -0.3097 |   -0.4155 |
+#> |.....................|   -0.1725 |   -0.8955 |   -0.7354 |    -1.072 |
+#> |.....................|   -0.5794 |   -0.6961 |   -0.7733 |...........|
+#> |    U|     762.61305 |     97.04 |    -2.889 |    -4.213 |    -4.924 |
+#> |.....................|    -2.045 |    -1.977 |     2.665 |    0.8732 |
+#> |.....................|    0.7576 |    0.8217 |     1.256 |    0.9348 |
+#> |.....................|     1.087 |     1.576 |     1.472 |...........|
+#> |    X|     762.61305 |     97.04 |   0.05565 |   0.01480 |  0.007270 |
+#> |.....................|    0.1146 |    0.1217 |     2.665 |    0.8732 |
+#> |.....................|    0.7576 |    0.8217 |     1.256 |    0.9348 |
+#> |.....................|     1.087 |     1.576 |     1.472 |...........|
+#> |    F| Forward Diff. |     14.76 |   -0.1238 |    0.4322 |   -0.6935 |
+#> |.....................|   -0.4217 |   -0.1389 |    -1.290 |    0.3261 |
+#> |.....................|    -3.236 |   -0.7060 |    -1.644 |    -1.160 |
+#> |.....................|   -0.7164 |    -2.626 |  -0.06595 |...........|
+#> |   31|     762.60623 |    0.9999 |   -0.9342 |    -1.376 |   -0.2227 |
+#> |.....................|   -0.9039 |   -0.9165 |   -0.3102 |   -0.4162 |
+#> |.....................|   -0.1716 |   -0.8955 |   -0.7347 |    -1.072 |
+#> |.....................|   -0.5791 |   -0.6961 |   -0.7733 |...........|
+#> |    U|     762.60623 |     96.99 |    -2.889 |    -4.213 |    -4.923 |
+#> |.....................|    -2.045 |    -1.977 |     2.665 |    0.8729 |
+#> |.....................|    0.7578 |    0.8216 |     1.257 |    0.9348 |
+#> |.....................|     1.088 |     1.576 |     1.472 |...........|
+#> |    X|     762.60623 |     96.99 |   0.05565 |   0.01481 |  0.007279 |
+#> |.....................|    0.1145 |    0.1216 |     2.665 |    0.8729 |
+#> |.....................|    0.7578 |    0.8216 |     1.257 |    0.9348 |
+#> |.....................|     1.088 |     1.576 |     1.472 |...........|
+#> |    F| Forward Diff. |    -1.846 |   -0.1151 |    0.4344 |   -0.6824 |
+#> |.....................|   -0.5544 |   -0.2171 |    -1.375 |    0.3027 |
+#> |.....................|    -2.857 |   -0.6587 |    -1.590 |    -1.961 |
+#> |.....................|   -0.8624 |    -2.600 |  -0.06827 |...........|
+#> |   32|     762.60133 |     1.000 |   -0.9341 |    -1.375 |   -0.2218 |
+#> |.....................|   -0.9039 |   -0.9164 |   -0.3101 |   -0.4167 |
+#> |.....................|   -0.1705 |   -0.8954 |   -0.7339 |    -1.072 |
+#> |.....................|   -0.5787 |   -0.6957 |   -0.7733 |...........|
+#> |    U|     762.60133 |     97.04 |    -2.889 |    -4.212 |    -4.922 |
+#> |.....................|    -2.045 |    -1.977 |     2.665 |    0.8727 |
+#> |.....................|    0.7581 |    0.8217 |     1.258 |    0.9357 |
+#> |.....................|     1.088 |     1.577 |     1.472 |...........|
+#> |    X|     762.60133 |     97.04 |   0.05565 |   0.01481 |  0.007286 |
+#> |.....................|    0.1145 |    0.1216 |     2.665 |    0.8727 |
+#> |.....................|    0.7581 |    0.8217 |     1.258 |    0.9357 |
+#> |.....................|     1.088 |     1.577 |     1.472 |...........|
+#> |    F| Forward Diff. |     13.48 |   -0.1210 |    0.4371 |   -0.6694 |
+#> |.....................|   -0.4912 |   -0.1711 |    -1.470 |    0.1448 |
+#> |.....................|    -2.873 |   -0.6387 |    -1.543 |    -1.867 |
+#> |.....................|   -0.7020 |    -2.876 |  -0.07344 |...........|
+#> |   33|     762.59465 |    0.9999 |   -0.9341 |    -1.375 |   -0.2207 |
+#> |.....................|   -0.9040 |   -0.9164 |   -0.3095 |   -0.4173 |
+#> |.....................|   -0.1704 |   -0.8960 |   -0.7329 |    -1.071 |
+#> |.....................|   -0.5790 |   -0.6956 |   -0.7733 |...........|
+#> |    U|     762.59465 |     96.99 |    -2.889 |    -4.212 |    -4.921 |
+#> |.....................|    -2.046 |    -1.977 |     2.666 |    0.8726 |
+#> |.....................|    0.7582 |    0.8213 |     1.259 |    0.9366 |
+#> |.....................|     1.088 |     1.577 |     1.472 |...........|
+#> |    X|     762.59465 |     96.99 |   0.05565 |   0.01482 |  0.007294 |
+#> |.....................|    0.1145 |    0.1216 |     2.666 |    0.8726 |
+#> |.....................|    0.7582 |    0.8213 |     1.259 |    0.9366 |
+#> |.....................|     1.088 |     1.577 |     1.472 |...........|
+#> |    F| Forward Diff. |    -1.775 |   -0.1124 |    0.4366 |   -0.6552 |
+#> |.....................|   -0.5921 |   -0.2206 |    -1.396 |    0.1541 |
+#> |.....................|    -2.894 |   -0.7001 |    -1.461 |   -0.9904 |
+#> |.....................|   -0.8842 |    -2.566 |  -0.07283 |...........|
+#> |   34|     762.59066 |     1.000 |   -0.9340 |    -1.375 |   -0.2198 |
+#> |.....................|   -0.9038 |   -0.9163 |   -0.3089 |   -0.4174 |
+#> |.....................|   -0.1692 |   -0.8959 |   -0.7322 |    -1.070 |
+#> |.....................|   -0.5787 |   -0.6947 |   -0.7733 |...........|
+#> |    U|     762.59066 |     97.04 |    -2.889 |    -4.212 |    -4.920 |
+#> |.....................|    -2.045 |    -1.977 |     2.666 |    0.8725 |
+#> |.....................|    0.7585 |    0.8213 |     1.259 |    0.9371 |
+#> |.....................|     1.088 |     1.578 |     1.472 |...........|
+#> |    X|     762.59066 |     97.04 |   0.05566 |   0.01482 |  0.007300 |
+#> |.....................|    0.1145 |    0.1217 |     2.666 |    0.8725 |
+#> |.....................|    0.7585 |    0.8213 |     1.259 |    0.9371 |
+#> |.....................|     1.088 |     1.578 |     1.472 |...........|
+#> |    F| Forward Diff. |     16.18 |   -0.1194 |    0.4391 |   -0.6416 |
+#> |.....................|   -0.4865 |   -0.1542 |    -1.319 |    0.1335 |
+#> |.....................|    -2.691 |   -0.6283 |    -1.400 |   -0.9220 |
+#> |.....................|   -0.7113 |    -2.508 |  -0.07019 |...........|
+#> |   35|     762.58429 |    0.9999 |   -0.9339 |    -1.375 |   -0.2184 |
+#> |.....................|   -0.9040 |   -0.9163 |   -0.3092 |   -0.4175 |
+#> |.....................|   -0.1684 |   -0.8956 |   -0.7319 |    -1.071 |
+#> |.....................|   -0.5779 |   -0.6949 |   -0.7734 |...........|
+#> |    U|     762.58429 |     96.99 |    -2.888 |    -4.212 |    -4.918 |
+#> |.....................|    -2.046 |    -1.977 |     2.666 |    0.8725 |
+#> |.....................|    0.7587 |    0.8216 |     1.260 |    0.9368 |
+#> |.....................|     1.089 |     1.578 |     1.472 |...........|
+#> |    X|     762.58429 |     96.99 |   0.05566 |   0.01482 |  0.007311 |
+#> |.....................|    0.1145 |    0.1217 |     2.666 |    0.8725 |
+#> |.....................|    0.7587 |    0.8216 |     1.260 |    0.9368 |
+#> |.....................|     1.089 |     1.578 |     1.472 |...........|
+#> |    F| Forward Diff. |    -2.054 |   -0.1077 |    0.4392 |   -0.6327 |
+#> |.....................|   -0.5920 |   -0.2170 |    -1.368 |    0.1202 |
+#> |.....................|    -2.662 |   -0.6439 |    -1.388 |    -1.754 |
+#> |.....................|   -0.8733 |    -2.532 |   -0.1003 |...........|
+#> |   36|     762.57982 |     1.000 |   -0.9338 |    -1.375 |   -0.2170 |
+#> |.....................|   -0.9039 |   -0.9162 |   -0.3086 |   -0.4176 |
+#> |.....................|   -0.1676 |   -0.8956 |   -0.7312 |    -1.070 |
+#> |.....................|   -0.5773 |   -0.6947 |   -0.7733 |...........|
+#> |    U|     762.57982 |     97.02 |    -2.888 |    -4.212 |    -4.917 |
+#> |.....................|    -2.046 |    -1.977 |     2.666 |    0.8724 |
+#> |.....................|    0.7589 |    0.8216 |     1.261 |    0.9374 |
+#> |.....................|     1.089 |     1.578 |     1.472 |...........|
+#> |    X|     762.57982 |     97.02 |   0.05567 |   0.01482 |  0.007321 |
+#> |.....................|    0.1145 |    0.1217 |     2.666 |    0.8724 |
+#> |.....................|    0.7589 |    0.8216 |     1.261 |    0.9374 |
+#> |.....................|     1.089 |     1.578 |     1.472 |...........|
+#> |    F| Forward Diff. |     9.173 |   -0.1105 |    0.4413 |   -0.6162 |
+#> |.....................|   -0.5474 |   -0.1732 |    -1.159 |    0.1830 |
+#> |.....................|    -2.846 |   -0.7034 |    -1.343 |   -0.9047 |
+#> |.....................|   -0.6908 |    -2.510 |  -0.09661 |...........|
+#> |   37|     762.57572 |    0.9999 |   -0.9337 |    -1.375 |   -0.2157 |
+#> |.....................|   -0.9040 |   -0.9162 |   -0.3092 |   -0.4178 |
+#> |.....................|   -0.1663 |   -0.8953 |   -0.7312 |    -1.070 |
+#> |.....................|   -0.5771 |   -0.6947 |   -0.7731 |...........|
+#> |    U|     762.57572 |     96.99 |    -2.888 |    -4.212 |    -4.916 |
+#> |.....................|    -2.046 |    -1.977 |     2.666 |    0.8724 |
+#> |.....................|    0.7593 |    0.8218 |     1.261 |    0.9374 |
+#> |.....................|     1.089 |     1.578 |     1.472 |...........|
+#> |    X|     762.57572 |     96.99 |   0.05567 |   0.01482 |  0.007331 |
+#> |.....................|    0.1145 |    0.1217 |     2.666 |    0.8724 |
+#> |.....................|    0.7593 |    0.8218 |     1.261 |    0.9374 |
+#> |.....................|     1.089 |     1.578 |     1.472 |...........|
+#> |    F| Forward Diff. |    -2.338 |   -0.1030 |    0.4402 |   -0.6028 |
+#> |.....................|   -0.6140 |   -0.2137 |    -1.433 |   0.08084 |
+#> |.....................|    -2.656 |   -0.6680 |    -1.346 |    -1.715 |
+#> |.....................|   -0.8965 |    -2.853 |   -0.1247 |...........|
+#> |   38|     762.57150 |     1.000 |   -0.9337 |    -1.375 |   -0.2145 |
+#> |.....................|   -0.9040 |   -0.9162 |   -0.3094 |   -0.4180 |
+#> |.....................|   -0.1650 |   -0.8953 |   -0.7314 |    -1.070 |
+#> |.....................|   -0.5771 |   -0.6938 |   -0.7730 |...........|
+#> |    U|      762.5715 |     97.02 |    -2.888 |    -4.212 |    -4.915 |
+#> |.....................|    -2.046 |    -1.977 |     2.666 |    0.8723 |
+#> |.....................|    0.7597 |    0.8218 |     1.260 |    0.9374 |
+#> |.....................|     1.089 |     1.579 |     1.472 |...........|
+#> |    X|      762.5715 |     97.02 |   0.05568 |   0.01482 |  0.007339 |
+#> |.....................|    0.1145 |    0.1217 |     2.666 |    0.8723 |
+#> |.....................|    0.7597 |    0.8218 |     1.260 |    0.9374 |
+#> |.....................|     1.089 |     1.579 |     1.472 |...........|
+#> |    F| Forward Diff. |     9.917 |   -0.1081 |    0.4404 |   -0.5845 |
+#> |.....................|   -0.5548 |   -0.1795 |    -1.372 |   0.08332 |
+#> |.....................|    -2.404 |   -0.6107 |    -1.343 |    -1.668 |
+#> |.....................|   -0.7053 |    -2.471 |  -0.08527 |...........|
+#> |   39|     762.56652 |    0.9998 |   -0.9337 |    -1.375 |   -0.2137 |
+#> |.....................|   -0.9039 |   -0.9161 |   -0.3083 |   -0.4179 |
+#> |.....................|   -0.1654 |   -0.8958 |   -0.7313 |    -1.070 |
+#> |.....................|   -0.5775 |   -0.6927 |   -0.7729 |...........|
+#> |    U|     762.56652 |     96.98 |    -2.888 |    -4.212 |    -4.914 |
+#> |.....................|    -2.045 |    -1.976 |     2.667 |    0.8723 |
+#> |.....................|    0.7596 |    0.8214 |     1.260 |    0.9380 |
+#> |.....................|     1.089 |     1.581 |     1.472 |...........|
+#> |    X|     762.56652 |     96.98 |   0.05568 |   0.01482 |  0.007345 |
+#> |.....................|    0.1145 |    0.1217 |     2.667 |    0.8723 |
+#> |.....................|    0.7596 |    0.8214 |     1.260 |    0.9380 |
+#> |.....................|     1.089 |     1.581 |     1.472 |...........|
+#> |    F| Forward Diff. |    -4.202 |  -0.09986 |    0.4343 |   -0.5734 |
+#> |.....................|   -0.5963 |   -0.2059 |    -1.230 |    0.1366 |
+#> |.....................|    -2.439 |   -0.6793 |    -1.344 |    -1.610 |
+#> |.....................|   -0.8864 |    -2.392 |  -0.08042 |...........|
+#> |   40|     762.56246 |     1.000 |   -0.9336 |    -1.375 |   -0.2125 |
+#> |.....................|   -0.9039 |   -0.9160 |   -0.3073 |   -0.4180 |
+#> |.....................|   -0.1656 |   -0.8955 |   -0.7303 |    -1.069 |
+#> |.....................|   -0.5773 |   -0.6925 |   -0.7730 |...........|
+#> |    U|     762.56246 |     97.01 |    -2.888 |    -4.212 |    -4.913 |
+#> |.....................|    -2.045 |    -1.976 |     2.668 |    0.8723 |
+#> |.....................|    0.7595 |    0.8216 |     1.262 |    0.9386 |
+#> |.....................|     1.089 |     1.581 |     1.472 |...........|
+#> |    X|     762.56246 |     97.01 |   0.05568 |   0.01481 |  0.007354 |
+#> |.....................|    0.1145 |    0.1217 |     2.668 |    0.8723 |
+#> |.....................|    0.7595 |    0.8216 |     1.262 |    0.9386 |
+#> |.....................|     1.089 |     1.581 |     1.472 |...........|
+#> |    F| Forward Diff. |     5.335 |   -0.1021 |    0.4320 |   -0.5553 |
+#> |.....................|   -0.5609 |   -0.1614 |    -1.231 |   0.02142 |
+#> |.....................|    -2.620 |   -0.6772 |    -1.305 |    -1.580 |
+#> |.....................|   -0.7609 |    -2.720 |   -0.1132 |...........|
+#> |   41|     762.55730 |    0.9999 |   -0.9335 |    -1.376 |   -0.2115 |
+#> |.....................|   -0.9037 |   -0.9159 |   -0.3071 |   -0.4174 |
+#> |.....................|   -0.1649 |   -0.8958 |   -0.7301 |    -1.069 |
+#> |.....................|   -0.5781 |   -0.6915 |   -0.7731 |...........|
+#> |    U|      762.5573 |     96.99 |    -2.888 |    -4.213 |    -4.912 |
+#> |.....................|    -2.045 |    -1.976 |     2.668 |    0.8725 |
+#> |.....................|    0.7597 |    0.8214 |     1.262 |    0.9390 |
+#> |.....................|     1.089 |     1.583 |     1.472 |...........|
+#> |    X|      762.5573 |     96.99 |   0.05568 |   0.01481 |  0.007361 |
+#> |.....................|    0.1146 |    0.1218 |     2.668 |    0.8725 |
+#> |.....................|    0.7597 |    0.8214 |     1.262 |    0.9390 |
+#> |.....................|     1.089 |     1.583 |     1.472 |...........|
+#> |   42|     762.55308 |     1.000 |   -0.9335 |    -1.376 |   -0.2104 |
+#> |.....................|   -0.9036 |   -0.9158 |   -0.3069 |   -0.4167 |
+#> |.....................|   -0.1644 |   -0.8961 |   -0.7300 |    -1.068 |
+#> |.....................|   -0.5790 |   -0.6904 |   -0.7733 |...........|
+#> |    U|     762.55308 |     97.00 |    -2.888 |    -4.213 |    -4.910 |
+#> |.....................|    -2.045 |    -1.976 |     2.668 |    0.8727 |
+#> |.....................|    0.7598 |    0.8211 |     1.262 |    0.9393 |
+#> |.....................|     1.088 |     1.584 |     1.472 |...........|
+#> |    X|     762.55308 |     97.00 |   0.05568 |   0.01480 |  0.007369 |
+#> |.....................|    0.1146 |    0.1218 |     2.668 |    0.8727 |
+#> |.....................|    0.7598 |    0.8211 |     1.262 |    0.9393 |
+#> |.....................|     1.088 |     1.584 |     1.472 |...........|
+#> |   43|     762.54129 |     1.000 |   -0.9334 |    -1.378 |   -0.2065 |
+#> |.....................|   -0.9033 |   -0.9153 |   -0.3062 |   -0.4144 |
+#> |.....................|   -0.1625 |   -0.8972 |   -0.7297 |    -1.067 |
+#> |.....................|   -0.5824 |   -0.6868 |   -0.7739 |...........|
+#> |    U|     762.54129 |     97.02 |    -2.888 |    -4.215 |    -4.907 |
+#> |.....................|    -2.044 |    -1.975 |     2.669 |    0.8736 |
+#> |.....................|    0.7604 |    0.8202 |     1.262 |    0.9405 |
+#> |.....................|     1.085 |     1.589 |     1.471 |...........|
+#> |    X|     762.54129 |     97.02 |   0.05569 |   0.01477 |  0.007398 |
+#> |.....................|    0.1147 |    0.1219 |     2.669 |    0.8736 |
+#> |.....................|    0.7604 |    0.8202 |     1.262 |    0.9405 |
+#> |.....................|     1.085 |     1.589 |     1.471 |...........|
+#> |   44|     762.53205 |     1.001 |   -0.9333 |    -1.381 |   -0.1995 |
+#> |.....................|   -0.9026 |   -0.9144 |   -0.3049 |   -0.4101 |
+#> |.....................|   -0.1590 |   -0.8993 |   -0.7291 |    -1.066 |
+#> |.....................|   -0.5885 |   -0.6801 |   -0.7749 |...........|
+#> |    U|     762.53205 |     97.07 |    -2.888 |    -4.218 |    -4.899 |
+#> |.....................|    -2.043 |    -1.973 |     2.670 |    0.8751 |
+#> |.....................|    0.7613 |    0.8185 |     1.263 |    0.9425 |
+#> |.....................|     1.080 |     1.598 |     1.470 |...........|
+#> |    X|     762.53205 |     97.07 |   0.05570 |   0.01472 |  0.007451 |
+#> |.....................|    0.1148 |    0.1221 |     2.670 |    0.8751 |
+#> |.....................|    0.7613 |    0.8185 |     1.263 |    0.9425 |
+#> |.....................|     1.080 |     1.598 |     1.470 |...........|
+#> |    F| Forward Diff. |     23.65 |   -0.1039 |    0.3653 |   -0.2919 |
+#> |.....................|   -0.1880 |    0.2896 |   -0.9107 |    0.7013 |
+#> |.....................|    -2.202 |   -0.8082 |    -1.198 |    -1.067 |
+#> |.....................|    -1.416 |    -1.756 |   -0.2090 |...........|
+#> |   45|     762.48327 |    0.9998 |   -0.9329 |    -1.391 |   -0.1822 |
+#> |.....................|   -0.9041 |   -0.9140 |   -0.3019 |   -0.4150 |
+#> |.....................|   -0.1512 |   -0.8995 |   -0.7234 |    -1.064 |
+#> |.....................|   -0.5784 |   -0.6773 |   -0.7751 |...........|
+#> |    U|     762.48327 |     96.98 |    -2.887 |    -4.228 |    -4.882 |
+#> |.....................|    -2.046 |    -1.972 |     2.674 |    0.8734 |
+#> |.....................|    0.7635 |    0.8183 |     1.269 |    0.9450 |
+#> |.....................|     1.088 |     1.602 |     1.470 |...........|
+#> |    X|     762.48327 |     96.98 |   0.05572 |   0.01458 |  0.007580 |
+#> |.....................|    0.1145 |    0.1222 |     2.674 |    0.8734 |
+#> |.....................|    0.7635 |    0.8183 |     1.269 |    0.9450 |
+#> |.....................|     1.088 |     1.602 |     1.470 |...........|
+#> |    F| Forward Diff. |    -2.920 |  -0.08029 |    0.2756 |   -0.1231 |
+#> |.....................|   -0.7850 |    0.1611 |   -0.6966 |    0.2967 |
+#> |.....................|    -1.718 |   -0.8812 |   -0.8270 |   -0.2301 |
+#> |.....................|    -1.116 |    -1.224 |   -0.3843 |...........|
+#> |   46|     762.47327 |     1.000 |   -0.9318 |    -1.401 |   -0.1764 |
+#> |.....................|   -0.9027 |   -0.9109 |   -0.3019 |   -0.4099 |
+#> |.....................|   -0.1415 |   -0.8907 |   -0.7247 |    -1.067 |
+#> |.....................|   -0.5685 |   -0.6781 |   -0.7620 |...........|
+#> |    U|     762.47327 |     97.01 |    -2.886 |    -4.238 |    -4.876 |
+#> |.....................|    -2.043 |    -1.966 |     2.673 |    0.8752 |
+#> |.....................|    0.7662 |    0.8257 |     1.268 |    0.9409 |
+#> |.....................|     1.097 |     1.601 |     1.487 |...........|
+#> |    X|     762.47327 |     97.01 |   0.05578 |   0.01443 |  0.007624 |
+#> |.....................|    0.1148 |    0.1228 |     2.673 |    0.8752 |
+#> |.....................|    0.7662 |    0.8257 |     1.268 |    0.9409 |
+#> |.....................|     1.097 |     1.601 |     1.487 |...........|
+#> |    F| Forward Diff. |     4.304 |  -0.04991 |    0.1861 |   -0.1521 |
+#> |.....................|   -0.2758 |    0.6987 |   -0.6385 |    0.6999 |
+#> |.....................|    -1.104 |   -0.4937 |   -0.9023 |    -1.218 |
+#> |.....................|    -1.007 |    -1.649 |    0.3798 |...........|
+#> |   47|     762.45236 |     1.000 |   -0.9314 |    -1.416 |   -0.1739 |
+#> |.....................|   -0.9025 |   -0.9126 |   -0.3007 |   -0.4145 |
+#> |.....................|   -0.1407 |   -0.8864 |   -0.7274 |    -1.072 |
+#> |.....................|   -0.5562 |   -0.6663 |   -0.7693 |...........|
+#> |    U|     762.45236 |     97.00 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.969 |     2.675 |    0.8735 |
+#> |.....................|    0.7665 |    0.8293 |     1.265 |    0.9352 |
+#> |.....................|     1.107 |     1.617 |     1.477 |...........|
+#> |    X|     762.45236 |     97.00 |   0.05580 |   0.01423 |  0.007643 |
+#> |.....................|    0.1148 |    0.1225 |     2.675 |    0.8735 |
+#> |.....................|    0.7665 |    0.8293 |     1.265 |    0.9352 |
+#> |.....................|     1.107 |     1.617 |     1.477 |...........|
+#> |    F| Forward Diff. |     4.090 |  -0.03836 |   0.07211 |   -0.1660 |
+#> |.....................|   -0.2360 |    0.2575 |   -0.5787 |    0.3648 |
+#> |.....................|    -1.053 |   -0.3652 |    -1.069 |    -1.349 |
+#> |.....................|   -0.4799 |    -1.042 |   -0.1902 |...........|
+#> |   48|     762.47705 |    0.9990 |   -0.9326 |    -1.425 |   -0.1717 |
+#> |.....................|   -0.9039 |   -0.9116 |   -0.2960 |   -0.4278 |
+#> |.....................|   -0.1499 |   -0.8783 |   -0.6879 |    -1.071 |
+#> |.....................|   -0.5536 |   -0.6497 |   -0.7536 |...........|
+#> |    U|     762.47705 |     96.90 |    -2.887 |    -4.262 |    -4.872 |
+#> |.....................|    -2.045 |    -1.967 |     2.680 |    0.8688 |
+#> |.....................|    0.7639 |    0.8361 |     1.309 |    0.9365 |
+#> |.....................|     1.109 |     1.639 |     1.499 |...........|
+#> |    X|     762.47705 |     96.90 |   0.05574 |   0.01410 |  0.007660 |
+#> |.....................|    0.1145 |    0.1227 |     2.680 |    0.8688 |
+#> |.....................|    0.7639 |    0.8361 |     1.309 |    0.9365 |
+#> |.....................|     1.109 |     1.639 |     1.499 |...........|
+#> |   49|     762.47045 |    0.9985 |   -0.9319 |    -1.419 |   -0.1731 |
+#> |.....................|   -0.9029 |   -0.9123 |   -0.2988 |   -0.4194 |
+#> |.....................|   -0.1437 |   -0.8834 |   -0.7128 |    -1.071 |
+#> |.....................|   -0.5551 |   -0.6600 |   -0.7636 |...........|
+#> |    U|     762.47045 |     96.85 |    -2.886 |    -4.256 |    -4.873 |
+#> |.....................|    -2.043 |    -1.969 |     2.677 |    0.8718 |
+#> |.....................|    0.7656 |    0.8318 |     1.281 |    0.9361 |
+#> |.....................|     1.108 |     1.625 |     1.485 |...........|
+#> |    X|     762.47045 |     96.85 |   0.05578 |   0.01418 |  0.007650 |
+#> |.....................|    0.1147 |    0.1225 |     2.677 |    0.8718 |
+#> |.....................|    0.7656 |    0.8318 |     1.281 |    0.9361 |
+#> |.....................|     1.108 |     1.625 |     1.485 |...........|
+#> |   50|     762.49004 |    0.9982 |   -0.9315 |    -1.417 |   -0.1736 |
+#> |.....................|   -0.9025 |   -0.9126 |   -0.3000 |   -0.4160 |
+#> |.....................|   -0.1412 |   -0.8855 |   -0.7230 |    -1.071 |
+#> |.....................|   -0.5558 |   -0.6642 |   -0.7677 |...........|
+#> |    U|     762.49004 |     96.83 |    -2.886 |    -4.254 |    -4.874 |
+#> |.....................|    -2.043 |    -1.969 |     2.675 |    0.8730 |
+#> |.....................|    0.7663 |    0.8301 |     1.270 |    0.9360 |
+#> |.....................|     1.107 |     1.619 |     1.480 |...........|
+#> |    X|     762.49004 |     96.83 |   0.05579 |   0.01421 |  0.007645 |
+#> |.....................|    0.1148 |    0.1225 |     2.675 |    0.8730 |
+#> |.....................|    0.7663 |    0.8301 |     1.270 |    0.9360 |
+#> |.....................|     1.107 |     1.619 |     1.480 |...........|
+#> |   51|     762.45852 |    0.9993 |   -0.9314 |    -1.416 |   -0.1739 |
+#> |.....................|   -0.9024 |   -0.9127 |   -0.3006 |   -0.4146 |
+#> |.....................|   -0.1405 |   -0.8864 |   -0.7272 |    -1.072 |
+#> |.....................|   -0.5561 |   -0.6661 |   -0.7693 |...........|
+#> |    U|     762.45852 |     96.93 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.969 |     2.675 |    0.8735 |
+#> |.....................|    0.7665 |    0.8293 |     1.265 |    0.9355 |
+#> |.....................|     1.107 |     1.617 |     1.477 |...........|
+#> |    X|     762.45852 |     96.93 |   0.05580 |   0.01423 |  0.007643 |
+#> |.....................|    0.1148 |    0.1224 |     2.675 |    0.8735 |
+#> |.....................|    0.7665 |    0.8293 |     1.265 |    0.9355 |
+#> |.....................|     1.107 |     1.617 |     1.477 |...........|
+#> |   52|     762.45201 |    0.9999 |   -0.9314 |    -1.416 |   -0.1739 |
+#> |.....................|   -0.9025 |   -0.9126 |   -0.3007 |   -0.4145 |
+#> |.....................|   -0.1407 |   -0.8864 |   -0.7274 |    -1.072 |
+#> |.....................|   -0.5562 |   -0.6663 |   -0.7693 |...........|
+#> |    U|     762.45201 |     96.99 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.969 |     2.675 |    0.8735 |
+#> |.....................|    0.7665 |    0.8293 |     1.265 |    0.9352 |
+#> |.....................|     1.107 |     1.617 |     1.477 |...........|
+#> |    X|     762.45201 |     96.99 |   0.05580 |   0.01423 |  0.007643 |
+#> |.....................|    0.1148 |    0.1225 |     2.675 |    0.8735 |
+#> |.....................|    0.7665 |    0.8293 |     1.265 |    0.9352 |
+#> |.....................|     1.107 |     1.617 |     1.477 |...........|
+#> |    F| Forward Diff. |    -1.157 |  -0.03565 |   0.07096 |   -0.1676 |
+#> |.....................|   -0.2565 |    0.2382 |   -0.5340 |    0.4141 |
+#> |.....................|    -1.202 |   -0.3942 |    -1.048 |    -1.363 |
+#> |.....................|   -0.4633 |    -1.025 |   -0.1715 |...........|
+#> |   53|     762.45163 |     1.000 |   -0.9314 |    -1.416 |   -0.1739 |
+#> |.....................|   -0.9025 |   -0.9127 |   -0.3007 |   -0.4145 |
+#> |.....................|   -0.1406 |   -0.8864 |   -0.7273 |    -1.072 |
+#> |.....................|   -0.5562 |   -0.6662 |   -0.7693 |...........|
+#> |    U|     762.45163 |     97.00 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.969 |     2.675 |    0.8735 |
+#> |.....................|    0.7665 |    0.8293 |     1.265 |    0.9353 |
+#> |.....................|     1.107 |     1.617 |     1.477 |...........|
+#> |    X|     762.45163 |     97.00 |   0.05580 |   0.01423 |  0.007643 |
+#> |.....................|    0.1148 |    0.1225 |     2.675 |    0.8735 |
+#> |.....................|    0.7665 |    0.8293 |     1.265 |    0.9353 |
+#> |.....................|     1.107 |     1.617 |     1.477 |...........|
+#> |    F| Forward Diff. |     1.387 |  -0.03697 |   0.07095 |   -0.1670 |
+#> |.....................|   -0.2405 |    0.2417 |   -0.4946 |    0.4249 |
+#> |.....................|   -0.9410 |   -0.3603 |    -1.076 |   -0.6985 |
+#> |.....................|   -0.5549 |   -0.6934 |   -0.1964 |...........|
+#> |   54|     762.45142 |    0.9999 |   -0.9314 |    -1.416 |   -0.1739 |
+#> |.....................|   -0.9024 |   -0.9127 |   -0.3006 |   -0.4146 |
+#> |.....................|   -0.1405 |   -0.8864 |   -0.7272 |    -1.072 |
+#> |.....................|   -0.5561 |   -0.6662 |   -0.7693 |...........|
+#> |    U|     762.45142 |     96.99 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.969 |     2.675 |    0.8735 |
+#> |.....................|    0.7665 |    0.8293 |     1.265 |    0.9354 |
+#> |.....................|     1.107 |     1.617 |     1.477 |...........|
+#> |    X|     762.45142 |     96.99 |   0.05580 |   0.01423 |  0.007643 |
+#> |.....................|    0.1148 |    0.1224 |     2.675 |    0.8735 |
+#> |.....................|    0.7665 |    0.8293 |     1.265 |    0.9354 |
+#> |.....................|     1.107 |     1.617 |     1.477 |...........|
+#> |    F| Forward Diff. |    -2.093 |  -0.03511 |   0.07006 |   -0.1682 |
+#> |.....................|   -0.2501 |    0.2258 |   -0.7319 |    0.2456 |
+#> |.....................|    -1.092 |   -0.3868 |    -1.095 |   -0.7218 |
+#> |.....................|   -0.5798 |   -0.7078 |   -0.2098 |...........|
+#> |   55|     762.45106 |     1.000 |   -0.9314 |    -1.416 |   -0.1739 |
+#> |.....................|   -0.9024 |   -0.9127 |   -0.3006 |   -0.4146 |
+#> |.....................|   -0.1405 |   -0.8863 |   -0.7271 |    -1.072 |
+#> |.....................|   -0.5561 |   -0.6661 |   -0.7693 |...........|
+#> |    U|     762.45106 |     97.00 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.969 |     2.675 |    0.8735 |
+#> |.....................|    0.7665 |    0.8294 |     1.265 |    0.9355 |
+#> |.....................|     1.107 |     1.617 |     1.477 |...........|
+#> |    X|     762.45106 |     97.00 |   0.05580 |   0.01423 |  0.007644 |
+#> |.....................|    0.1148 |    0.1224 |     2.675 |    0.8735 |
+#> |.....................|    0.7665 |    0.8294 |     1.265 |    0.9355 |
+#> |.....................|     1.107 |     1.617 |     1.477 |...........|
+#> |    F| Forward Diff. |     1.558 |  -0.03666 |   0.07079 |   -0.1670 |
+#> |.....................|   -0.2292 |    0.2352 |   -0.6822 |    0.2833 |
+#> |.....................|   -0.9877 |   -0.3599 |    -1.086 |   -0.7040 |
+#> |.....................|   -0.5476 |   -0.6798 |   -0.1950 |...........|
+#> |   56|     762.45087 |    0.9999 |   -0.9314 |    -1.416 |   -0.1739 |
+#> |.....................|   -0.9024 |   -0.9127 |   -0.3005 |   -0.4146 |
+#> |.....................|   -0.1404 |   -0.8863 |   -0.7270 |    -1.072 |
+#> |.....................|   -0.5561 |   -0.6661 |   -0.7693 |...........|
+#> |    U|     762.45087 |     96.99 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.675 |    0.8735 |
+#> |.....................|    0.7666 |    0.8294 |     1.265 |    0.9355 |
+#> |.....................|     1.107 |     1.617 |     1.477 |...........|
+#> |    X|     762.45087 |     96.99 |   0.05580 |   0.01423 |  0.007644 |
+#> |.....................|    0.1148 |    0.1224 |     2.675 |    0.8735 |
+#> |.....................|    0.7666 |    0.8294 |     1.265 |    0.9355 |
+#> |.....................|     1.107 |     1.617 |     1.477 |...........|
+#> |    C| Central Diff. |    -2.701 |  -0.06138 |   0.06188 |   -0.1824 |
+#> |.....................|   -0.3275 |    0.1556 |   -0.5644 |    0.4107 |
+#> |.....................|   -0.9451 |   -0.3602 |    -1.050 |   -0.9219 |
+#> |.....................|   -0.7692 |   -0.8400 |   -0.2110 |...........|
+#> |   57|     762.45052 |     1.000 |   -0.9314 |    -1.416 |   -0.1739 |
+#> |.....................|   -0.9024 |   -0.9127 |   -0.3005 |   -0.4146 |
+#> |.....................|   -0.1404 |   -0.8863 |   -0.7269 |    -1.072 |
+#> |.....................|   -0.5560 |   -0.6660 |   -0.7693 |...........|
+#> |    U|     762.45052 |     97.00 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.675 |    0.8735 |
+#> |.....................|    0.7666 |    0.8294 |     1.265 |    0.9356 |
+#> |.....................|     1.107 |     1.617 |     1.477 |...........|
+#> |    X|     762.45052 |     97.00 |   0.05580 |   0.01423 |  0.007644 |
+#> |.....................|    0.1148 |    0.1224 |     2.675 |    0.8735 |
+#> |.....................|    0.7666 |    0.8294 |     1.265 |    0.9356 |
+#> |.....................|     1.107 |     1.617 |     1.477 |...........|
+#> |    F| Forward Diff. |     1.310 |  -0.03660 |   0.07022 |   -0.1677 |
+#> |.....................|   -0.2216 |    0.2281 |   -0.6223 |    0.3362 |
+#> |.....................|    -1.101 |   -0.3801 |    -1.032 |    -1.332 |
+#> |.....................|   -0.4655 |    -1.018 |   -0.1777 |...........|
+#> |   58|     762.45025 |    0.9999 |   -0.9314 |    -1.416 |   -0.1739 |
+#> |.....................|   -0.9024 |   -0.9127 |   -0.3005 |   -0.4146 |
+#> |.....................|   -0.1403 |   -0.8862 |   -0.7268 |    -1.072 |
+#> |.....................|   -0.5560 |   -0.6659 |   -0.7692 |...........|
+#> |    U|     762.45025 |     96.99 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.675 |    0.8735 |
+#> |.....................|    0.7666 |    0.8294 |     1.265 |    0.9357 |
+#> |.....................|     1.107 |     1.617 |     1.477 |...........|
+#> |    X|     762.45025 |     96.99 |   0.05580 |   0.01423 |  0.007644 |
+#> |.....................|    0.1148 |    0.1224 |     2.675 |    0.8735 |
+#> |.....................|    0.7666 |    0.8294 |     1.265 |    0.9357 |
+#> |.....................|     1.107 |     1.617 |     1.477 |...........|
+#> |    F| Forward Diff. |    -1.564 |  -0.03511 |   0.06930 |   -0.1687 |
+#> |.....................|   -0.2301 |    0.2148 |   -0.6958 |    0.2956 |
+#> |.....................|    -1.074 |   -0.3641 |    -1.039 |   -0.6647 |
+#> |.....................|   -0.5492 |   -0.6891 |   -0.2028 |...........|
+#> |   59|     762.44994 |     1.000 |   -0.9314 |    -1.416 |   -0.1738 |
+#> |.....................|   -0.9024 |   -0.9127 |   -0.3004 |   -0.4147 |
+#> |.....................|   -0.1402 |   -0.8862 |   -0.7268 |    -1.071 |
+#> |.....................|   -0.5559 |   -0.6659 |   -0.7692 |...........|
+#> |    U|     762.44994 |     97.00 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.675 |    0.8735 |
+#> |.....................|    0.7666 |    0.8295 |     1.266 |    0.9357 |
+#> |.....................|     1.107 |     1.617 |     1.477 |...........|
+#> |    X|     762.44994 |     97.00 |   0.05580 |   0.01423 |  0.007644 |
+#> |.....................|    0.1148 |    0.1224 |     2.675 |    0.8735 |
+#> |.....................|    0.7666 |    0.8295 |     1.266 |    0.9357 |
+#> |.....................|     1.107 |     1.617 |     1.477 |...........|
+#> |    F| Forward Diff. |     2.130 |  -0.03693 |   0.06970 |   -0.1678 |
+#> |.....................|   -0.2087 |    0.2222 |   -0.4767 |    0.4303 |
+#> |.....................|    -1.005 |   -0.3788 |    -1.043 |    -1.360 |
+#> |.....................|   -0.5474 |   -0.6760 |   -0.1925 |...........|
+#> |   60|     762.44969 |    0.9999 |   -0.9314 |    -1.416 |   -0.1738 |
+#> |.....................|   -0.9024 |   -0.9127 |   -0.3004 |   -0.4147 |
+#> |.....................|   -0.1402 |   -0.8862 |   -0.7266 |    -1.071 |
+#> |.....................|   -0.5559 |   -0.6658 |   -0.7692 |...........|
+#> |    U|     762.44969 |     96.99 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.675 |    0.8735 |
+#> |.....................|    0.7666 |    0.8295 |     1.266 |    0.9358 |
+#> |.....................|     1.107 |     1.617 |     1.477 |...........|
+#> |    X|     762.44969 |     96.99 |   0.05580 |   0.01423 |  0.007644 |
+#> |.....................|    0.1148 |    0.1224 |     2.675 |    0.8735 |
+#> |.....................|    0.7666 |    0.8295 |     1.266 |    0.9358 |
+#> |.....................|     1.107 |     1.617 |     1.477 |...........|
+#> |    F| Forward Diff. |    -1.483 |  -0.03492 |   0.06900 |   -0.1687 |
+#> |.....................|   -0.2211 |    0.2086 |   -0.7093 |    0.2512 |
+#> |.....................|   -0.9848 |   -0.3396 |    -1.026 |    -1.317 |
+#> |.....................|   -0.5572 |   -0.6715 |   -0.1875 |...........|
+#> |   61|     762.44936 |     1.000 |   -0.9314 |    -1.416 |   -0.1738 |
+#> |.....................|   -0.9023 |   -0.9128 |   -0.3003 |   -0.4147 |
+#> |.....................|   -0.1401 |   -0.8862 |   -0.7266 |    -1.071 |
+#> |.....................|   -0.5558 |   -0.6658 |   -0.7692 |...........|
+#> |    U|     762.44936 |     97.00 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.675 |    0.8735 |
+#> |.....................|    0.7666 |    0.8295 |     1.266 |    0.9359 |
+#> |.....................|     1.107 |     1.617 |     1.478 |...........|
+#> |    X|     762.44936 |     97.00 |   0.05580 |   0.01423 |  0.007644 |
+#> |.....................|    0.1148 |    0.1224 |     2.675 |    0.8735 |
+#> |.....................|    0.7666 |    0.8295 |     1.266 |    0.9359 |
+#> |.....................|     1.107 |     1.617 |     1.478 |...........|
+#> |    F| Forward Diff. |     1.828 |  -0.03668 |   0.06906 |   -0.1681 |
+#> |.....................|   -0.2025 |    0.2148 |   -0.4016 |    0.4562 |
+#> |.....................|   -0.7985 |   -0.3199 |    -1.005 |   -0.6242 |
+#> |.....................|   -0.4649 |    -1.017 |   -0.1851 |...........|
+#> |   62|     762.44920 |    0.9998 |   -0.9314 |    -1.416 |   -0.1738 |
+#> |.....................|   -0.9023 |   -0.9128 |   -0.3003 |   -0.4147 |
+#> |.....................|   -0.1401 |   -0.8861 |   -0.7265 |    -1.071 |
+#> |.....................|   -0.5558 |   -0.6657 |   -0.7692 |...........|
+#> |    U|      762.4492 |     96.99 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.675 |    0.8735 |
+#> |.....................|    0.7667 |    0.8295 |     1.266 |    0.9360 |
+#> |.....................|     1.107 |     1.617 |     1.478 |...........|
+#> |    X|      762.4492 |     96.99 |   0.05580 |   0.01423 |  0.007644 |
+#> |.....................|    0.1149 |    0.1224 |     2.675 |    0.8735 |
+#> |.....................|    0.7667 |    0.8295 |     1.266 |    0.9360 |
+#> |.....................|     1.107 |     1.617 |     1.478 |...........|
+#> |    C| Central Diff. |    -2.892 |  -0.06089 |   0.06027 |   -0.1834 |
+#> |.....................|   -0.3033 |    0.1350 |   -0.5226 |    0.3403 |
+#> |.....................|   -0.9268 |   -0.3802 |    -1.004 |   -0.8849 |
+#> |.....................|   -0.7517 |   -0.8245 |   -0.1920 |...........|
+#> |   63|     762.44881 |     1.000 |   -0.9314 |    -1.416 |   -0.1738 |
+#> |.....................|   -0.9023 |   -0.9128 |   -0.3003 |   -0.4147 |
+#> |.....................|   -0.1400 |   -0.8861 |   -0.7264 |    -1.071 |
+#> |.....................|   -0.5558 |   -0.6656 |   -0.7692 |...........|
+#> |    U|     762.44881 |     97.00 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.675 |    0.8735 |
+#> |.....................|    0.7667 |    0.8296 |     1.266 |    0.9360 |
+#> |.....................|     1.107 |     1.617 |     1.478 |...........|
+#> |    X|     762.44881 |     97.00 |   0.05580 |   0.01423 |  0.007644 |
+#> |.....................|    0.1149 |    0.1224 |     2.675 |    0.8735 |
+#> |.....................|    0.7667 |    0.8296 |     1.266 |    0.9360 |
+#> |.....................|     1.107 |     1.617 |     1.478 |...........|
+#> |    F| Forward Diff. |     1.278 |  -0.03606 |   0.06873 |   -0.1684 |
+#> |.....................|   -0.1982 |    0.2076 |   -0.7410 |    0.2864 |
+#> |.....................|   -0.9371 |   -0.3600 |   -0.9981 |   -0.6148 |
+#> |.....................|   -0.4567 |   -0.9956 |   -0.1730 |...........|
+#> |   64|     762.44861 |    0.9999 |   -0.9314 |    -1.416 |   -0.1738 |
+#> |.....................|   -0.9023 |   -0.9128 |   -0.3002 |   -0.4148 |
+#> |.....................|   -0.1400 |   -0.8861 |   -0.7263 |    -1.071 |
+#> |.....................|   -0.5557 |   -0.6656 |   -0.7691 |...........|
+#> |    U|     762.44861 |     96.99 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.675 |    0.8734 |
+#> |.....................|    0.7667 |    0.8296 |     1.266 |    0.9361 |
+#> |.....................|     1.107 |     1.618 |     1.478 |...........|
+#> |    X|     762.44861 |     96.99 |   0.05580 |   0.01423 |  0.007644 |
+#> |.....................|    0.1149 |    0.1224 |     2.675 |    0.8734 |
+#> |.....................|    0.7667 |    0.8296 |     1.266 |    0.9361 |
+#> |.....................|     1.107 |     1.618 |     1.478 |...........|
+#> |    F| Forward Diff. |    -1.918 |  -0.03426 |   0.06810 |   -0.1693 |
+#> |.....................|   -0.2072 |    0.1939 |   -0.5108 |    0.4012 |
+#> |.....................|    -1.125 |   -0.3956 |    -1.016 |   -0.6465 |
+#> |.....................|   -0.5398 |   -0.6520 |   -0.1791 |...........|
+#> |   65|     762.44831 |     1.000 |   -0.9314 |    -1.416 |   -0.1738 |
+#> |.....................|   -0.9023 |   -0.9128 |   -0.3002 |   -0.4148 |
+#> |.....................|   -0.1399 |   -0.8861 |   -0.7262 |    -1.071 |
+#> |.....................|   -0.5557 |   -0.6655 |   -0.7691 |...........|
+#> |    U|     762.44831 |     97.00 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.675 |    0.8734 |
+#> |.....................|    0.7667 |    0.8296 |     1.266 |    0.9361 |
+#> |.....................|     1.107 |     1.618 |     1.478 |...........|
+#> |    X|     762.44831 |     97.00 |   0.05580 |   0.01423 |  0.007645 |
+#> |.....................|    0.1149 |    0.1224 |     2.675 |    0.8734 |
+#> |.....................|    0.7667 |    0.8296 |     1.266 |    0.9361 |
+#> |.....................|     1.107 |     1.618 |     1.478 |...........|
+#> |    F| Forward Diff. |     2.263 |  -0.03657 |   0.06844 |   -0.1684 |
+#> |.....................|   -0.1851 |    0.2030 |   -0.3956 |    0.5081 |
+#> |.....................|    -1.042 |   -0.3769 |   -0.9733 |   -0.5979 |
+#> |.....................|   -0.4511 |   -0.9881 |   -0.1717 |...........|
+#> |   66|     762.44807 |    0.9999 |   -0.9314 |    -1.416 |   -0.1737 |
+#> |.....................|   -0.9023 |   -0.9128 |   -0.3002 |   -0.4148 |
+#> |.....................|   -0.1398 |   -0.8860 |   -0.7261 |    -1.071 |
+#> |.....................|   -0.5557 |   -0.6655 |   -0.7691 |...........|
+#> |    U|     762.44807 |     96.99 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.675 |    0.8734 |
+#> |.....................|    0.7667 |    0.8296 |     1.266 |    0.9361 |
+#> |.....................|     1.107 |     1.618 |     1.478 |...........|
+#> |    X|     762.44807 |     96.99 |   0.05580 |   0.01423 |  0.007645 |
+#> |.....................|    0.1149 |    0.1224 |     2.675 |    0.8734 |
+#> |.....................|    0.7667 |    0.8296 |     1.266 |    0.9361 |
+#> |.....................|     1.107 |     1.618 |     1.478 |...........|
+#> |    F| Forward Diff. |    -1.676 |  -0.03430 |   0.06789 |   -0.1692 |
+#> |.....................|   -0.2001 |    0.1879 |   -0.6345 |    0.2243 |
+#> |.....................|   -0.9985 |   -0.3646 |   -0.9895 |   -0.6233 |
+#> |.....................|   -0.5267 |   -0.6582 |   -0.1873 |...........|
+#> |   67|     762.44780 |     1.000 |   -0.9314 |    -1.416 |   -0.1737 |
+#> |.....................|   -0.9023 |   -0.9128 |   -0.3001 |   -0.4149 |
+#> |.....................|   -0.1398 |   -0.8860 |   -0.7261 |    -1.071 |
+#> |.....................|   -0.5556 |   -0.6654 |   -0.7691 |...........|
+#> |    U|      762.4478 |     97.00 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.675 |    0.8734 |
+#> |.....................|    0.7667 |    0.8297 |     1.266 |    0.9362 |
+#> |.....................|     1.107 |     1.618 |     1.478 |...........|
+#> |    X|      762.4478 |     97.00 |   0.05580 |   0.01423 |  0.007645 |
+#> |.....................|    0.1149 |    0.1224 |     2.675 |    0.8734 |
+#> |.....................|    0.7667 |    0.8297 |     1.266 |    0.9362 |
+#> |.....................|     1.107 |     1.618 |     1.478 |...........|
+#> |    F| Forward Diff. |     2.318 |  -0.03631 |   0.06808 |   -0.1685 |
+#> |.....................|   -0.1789 |    0.1959 |   -0.7173 |    0.2475 |
+#> |.....................|   -0.9453 |   -0.3416 |   -0.9621 |   -0.5903 |
+#> |.....................|   -0.4826 |   -0.9880 |   -0.1748 |...........|
+#> |   68|     762.44757 |    0.9999 |   -0.9314 |    -1.416 |   -0.1737 |
+#> |.....................|   -0.9023 |   -0.9128 |   -0.3001 |   -0.4149 |
+#> |.....................|   -0.1397 |   -0.8860 |   -0.7260 |    -1.071 |
+#> |.....................|   -0.5556 |   -0.6653 |   -0.7691 |...........|
+#> |    U|     762.44757 |     96.99 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.675 |    0.8734 |
+#> |.....................|    0.7667 |    0.8297 |     1.266 |    0.9362 |
+#> |.....................|     1.107 |     1.618 |     1.478 |...........|
+#> |    X|     762.44757 |     96.99 |   0.05580 |   0.01423 |  0.007645 |
+#> |.....................|    0.1149 |    0.1224 |     2.675 |    0.8734 |
+#> |.....................|    0.7667 |    0.8297 |     1.266 |    0.9362 |
+#> |.....................|     1.107 |     1.618 |     1.478 |...........|
+#> |    F| Forward Diff. |    -1.403 |  -0.03410 |   0.06766 |   -0.1693 |
+#> |.....................|   -0.1923 |    0.1827 |   -0.5754 |    0.3333 |
+#> |.....................|    -1.026 |   -0.3445 |   -0.9634 |   -0.5940 |
+#> |.....................|   -0.4852 |   -0.9871 |   -0.1745 |...........|
+#> |   69|     762.44726 |     1.000 |   -0.9314 |    -1.416 |   -0.1737 |
+#> |.....................|   -0.9022 |   -0.9129 |   -0.3000 |   -0.4149 |
+#> |.....................|   -0.1396 |   -0.8859 |   -0.7259 |    -1.071 |
+#> |.....................|   -0.5555 |   -0.6653 |   -0.7691 |...........|
+#> |    U|     762.44726 |     97.00 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.675 |    0.8734 |
+#> |.....................|    0.7668 |    0.8297 |     1.266 |    0.9363 |
+#> |.....................|     1.108 |     1.618 |     1.478 |...........|
+#> |    X|     762.44726 |     97.00 |   0.05580 |   0.01423 |  0.007645 |
+#> |.....................|    0.1149 |    0.1224 |     2.675 |    0.8734 |
+#> |.....................|    0.7668 |    0.8297 |     1.266 |    0.9363 |
+#> |.....................|     1.108 |     1.618 |     1.478 |...........|
+#> |    F| Forward Diff. |     2.060 |  -0.03580 |   0.06800 |   -0.1685 |
+#> |.....................|   -0.1728 |    0.1899 |   -0.4704 |    0.4284 |
+#> |.....................|   -0.9227 |   -0.3505 |   -0.9813 |   -0.6228 |
+#> |.....................|   -0.5193 |   -0.6388 |   -0.1848 |...........|
+#> |   70|     762.44712 |    0.9998 |   -0.9314 |    -1.416 |   -0.1737 |
+#> |.....................|   -0.9022 |   -0.9129 |   -0.3000 |   -0.4149 |
+#> |.....................|   -0.1396 |   -0.8859 |   -0.7258 |    -1.071 |
+#> |.....................|   -0.5555 |   -0.6652 |   -0.7691 |...........|
+#> |    U|     762.44712 |     96.99 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8734 |
+#> |.....................|    0.7668 |    0.8297 |     1.267 |    0.9363 |
+#> |.....................|     1.108 |     1.618 |     1.478 |...........|
+#> |    X|     762.44712 |     96.99 |   0.05580 |   0.01423 |  0.007645 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8734 |
+#> |.....................|    0.7668 |    0.8297 |     1.267 |    0.9363 |
+#> |.....................|     1.108 |     1.618 |     1.478 |...........|
+#> |    C| Central Diff. |    -2.853 |  -0.06042 |   0.05902 |   -0.1840 |
+#> |.....................|   -0.2766 |    0.1092 |   -0.5247 |    0.3320 |
+#> |.....................|   -0.8590 |   -0.3265 |   -0.9669 |   -0.8543 |
+#> |.....................|   -0.7362 |   -0.6424 |   -0.1982 |...........|
+#> |   71|     762.44677 |     1.000 |   -0.9314 |    -1.416 |   -0.1736 |
+#> |.....................|   -0.9022 |   -0.9129 |   -0.3000 |   -0.4149 |
+#> |.....................|   -0.1396 |   -0.8859 |   -0.7257 |    -1.071 |
+#> |.....................|   -0.5555 |   -0.6652 |   -0.7690 |...........|
+#> |    U|     762.44677 |     97.00 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8734 |
+#> |.....................|    0.7668 |    0.8297 |     1.267 |    0.9363 |
+#> |.....................|     1.108 |     1.618 |     1.478 |...........|
+#> |    X|     762.44677 |     97.00 |   0.05580 |   0.01423 |  0.007645 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8734 |
+#> |.....................|    0.7668 |    0.8297 |     1.267 |    0.9363 |
+#> |.....................|     1.108 |     1.618 |     1.478 |...........|
+#> |    F| Forward Diff. |     1.229 |  -0.03534 |   0.06769 |   -0.1687 |
+#> |.....................|   -0.1722 |    0.1825 |   -0.6577 |    0.2295 |
+#> |.....................|   -0.9683 |   -0.3540 |   -0.9833 |   -0.6305 |
+#> |.....................|   -0.5492 |   -0.6462 |   -0.1881 |...........|
+#> |   72|     762.44660 |    0.9999 |   -0.9314 |    -1.416 |   -0.1736 |
+#> |.....................|   -0.9022 |   -0.9129 |   -0.2999 |   -0.4149 |
+#> |.....................|   -0.1395 |   -0.8858 |   -0.7256 |    -1.071 |
+#> |.....................|   -0.5554 |   -0.6651 |   -0.7690 |...........|
+#> |    U|      762.4466 |     96.99 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8734 |
+#> |.....................|    0.7668 |    0.8298 |     1.267 |    0.9364 |
+#> |.....................|     1.108 |     1.618 |     1.478 |...........|
+#> |    X|      762.4466 |     96.99 |   0.05580 |   0.01423 |  0.007646 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8734 |
+#> |.....................|    0.7668 |    0.8298 |     1.267 |    0.9364 |
+#> |.....................|     1.108 |     1.618 |     1.478 |...........|
+#> |    C| Central Diff. |    -2.619 |  -0.06037 |   0.05887 |   -0.1840 |
+#> |.....................|   -0.2697 |    0.1047 |   -0.4880 |    0.3107 |
+#> |.....................|   -0.8777 |   -0.3347 |   -0.9510 |   -0.8415 |
+#> |.....................|   -0.8070 |   -0.6380 |   -0.2003 |...........|
+#> |   73|     762.44631 |     1.000 |   -0.9314 |    -1.416 |   -0.1736 |
+#> |.....................|   -0.9022 |   -0.9129 |   -0.2999 |   -0.4149 |
+#> |.....................|   -0.1395 |   -0.8858 |   -0.7255 |    -1.071 |
+#> |.....................|   -0.5554 |   -0.6651 |   -0.7690 |...........|
+#> |    U|     762.44631 |     97.00 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8734 |
+#> |.....................|    0.7668 |    0.8298 |     1.267 |    0.9364 |
+#> |.....................|     1.108 |     1.618 |     1.478 |...........|
+#> |    X|     762.44631 |     97.00 |   0.05580 |   0.01423 |  0.007646 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8734 |
+#> |.....................|    0.7668 |    0.8298 |     1.267 |    0.9364 |
+#> |.....................|     1.108 |     1.618 |     1.478 |...........|
+#> |    F| Forward Diff. |     1.239 |  -0.03523 |   0.06754 |   -0.1690 |
+#> |.....................|   -0.1652 |    0.1779 |   -0.5810 |    0.3500 |
+#> |.....................|   -0.9310 |   -0.3299 |   -0.9168 |   -0.5544 |
+#> |.....................|   -0.4590 |   -0.9780 |   -0.1676 |...........|
+#> |   74|     762.44612 |    0.9999 |   -0.9314 |    -1.416 |   -0.1736 |
+#> |.....................|   -0.9022 |   -0.9129 |   -0.2998 |   -0.4150 |
+#> |.....................|   -0.1394 |   -0.8858 |   -0.7254 |    -1.071 |
+#> |.....................|   -0.5553 |   -0.6650 |   -0.7690 |...........|
+#> |    U|     762.44612 |     96.99 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8734 |
+#> |.....................|    0.7668 |    0.8298 |     1.267 |    0.9365 |
+#> |.....................|     1.108 |     1.618 |     1.478 |...........|
+#> |    X|     762.44612 |     96.99 |   0.05580 |   0.01423 |  0.007646 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8734 |
+#> |.....................|    0.7668 |    0.8298 |     1.267 |    0.9365 |
+#> |.....................|     1.108 |     1.618 |     1.478 |...........|
+#> |    C| Central Diff. |    -2.595 |  -0.06025 |   0.05873 |   -0.1842 |
+#> |.....................|   -0.2631 |    0.1003 |   -0.4975 |    0.3199 |
+#> |.....................|   -0.8775 |   -0.3517 |   -0.9324 |   -0.8365 |
+#> |.....................|   -0.7469 |   -0.7872 |   -0.1921 |...........|
+#> |   75|     762.44579 |     1.000 |   -0.9314 |    -1.416 |   -0.1736 |
+#> |.....................|   -0.9022 |   -0.9129 |   -0.2998 |   -0.4150 |
+#> |.....................|   -0.1394 |   -0.8858 |   -0.7253 |    -1.071 |
+#> |.....................|   -0.5553 |   -0.6649 |   -0.7690 |...........|
+#> |    U|     762.44579 |     97.00 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8734 |
+#> |.....................|    0.7668 |    0.8298 |     1.267 |    0.9365 |
+#> |.....................|     1.108 |     1.618 |     1.478 |...........|
+#> |    X|     762.44579 |     97.00 |   0.05580 |   0.01423 |  0.007646 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8734 |
+#> |.....................|    0.7668 |    0.8298 |     1.267 |    0.9365 |
+#> |.....................|     1.108 |     1.618 |     1.478 |...........|
+#> |    F| Forward Diff. |     1.332 |  -0.03503 |   0.06745 |   -0.1690 |
+#> |.....................|   -0.1595 |    0.1733 |   -0.6521 |    0.2265 |
+#> |.....................|    -1.099 |   -0.3762 |    -1.004 |   -0.8055 |
+#> |.....................|   -0.5808 |   -0.6379 |   -0.1715 |...........|
+#> |   76|     762.44562 |    0.9999 |   -0.9314 |    -1.416 |   -0.1736 |
+#> |.....................|   -0.9022 |   -0.9129 |   -0.2997 |   -0.4150 |
+#> |.....................|   -0.1393 |   -0.8857 |   -0.7252 |    -1.071 |
+#> |.....................|   -0.5552 |   -0.6649 |   -0.7690 |...........|
+#> |    U|     762.44562 |     96.99 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8734 |
+#> |.....................|    0.7669 |    0.8299 |     1.267 |    0.9366 |
+#> |.....................|     1.108 |     1.618 |     1.478 |...........|
+#> |    X|     762.44562 |     96.99 |   0.05580 |   0.01423 |  0.007646 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8734 |
+#> |.....................|    0.7669 |    0.8299 |     1.267 |    0.9366 |
+#> |.....................|     1.108 |     1.618 |     1.478 |...........|
+#> |    C| Central Diff. |    -2.540 |  -0.06014 |   0.05853 |   -0.1843 |
+#> |.....................|   -0.2582 |   0.09555 |   -0.4805 |    0.3174 |
+#> |.....................|   -0.8832 |   -0.3610 |   -0.9182 |   -0.8220 |
+#> |.....................|   -0.7344 |   -0.7852 |   -0.1863 |...........|
+#> |   77|     762.44533 |     1.000 |   -0.9314 |    -1.416 |   -0.1735 |
+#> |.....................|   -0.9022 |   -0.9129 |   -0.2997 |   -0.4150 |
+#> |.....................|   -0.1393 |   -0.8857 |   -0.7251 |    -1.071 |
+#> |.....................|   -0.5552 |   -0.6648 |   -0.7690 |...........|
+#> |    U|     762.44533 |     97.00 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8734 |
+#> |.....................|    0.7669 |    0.8299 |     1.267 |    0.9366 |
+#> |.....................|     1.108 |     1.619 |     1.478 |...........|
+#> |    X|     762.44533 |     97.00 |   0.05580 |   0.01423 |  0.007646 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8734 |
+#> |.....................|    0.7669 |    0.8299 |     1.267 |    0.9366 |
+#> |.....................|     1.108 |     1.619 |     1.478 |...........|
+#> |    F| Forward Diff. |     1.707 |  -0.03519 |   0.06722 |   -0.1691 |
+#> |.....................|   -0.1517 |    0.1695 |   -0.2998 |    0.5346 |
+#> |.....................|   -0.9157 |   -0.3444 |   -0.9296 |   -0.7244 |
+#> |.....................|   -0.4238 |   -0.9503 |   -0.1555 |...........|
+#> |   78|     762.44512 |    0.9999 |   -0.9314 |    -1.416 |   -0.1735 |
+#> |.....................|   -0.9022 |   -0.9129 |   -0.2997 |   -0.4151 |
+#> |.....................|   -0.1392 |   -0.8857 |   -0.7250 |    -1.071 |
+#> |.....................|   -0.5551 |   -0.6647 |   -0.7690 |...........|
+#> |    U|     762.44512 |     96.99 |    -2.886 |    -4.253 |    -4.874 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8733 |
+#> |.....................|    0.7669 |    0.8299 |     1.267 |    0.9367 |
+#> |.....................|     1.108 |     1.619 |     1.478 |...........|
+#> |    X|     762.44512 |     96.99 |   0.05580 |   0.01423 |  0.007646 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8733 |
+#> |.....................|    0.7669 |    0.8299 |     1.267 |    0.9367 |
+#> |.....................|     1.108 |     1.619 |     1.478 |...........|
+#> |    F| Forward Diff. |    -1.725 |  -0.03313 |   0.06674 |   -0.1698 |
+#> |.....................|   -0.1647 |    0.1564 |   -0.4671 |    0.3596 |
+#> |.....................|    -1.122 |   -0.3749 |   -0.8900 |   -0.5488 |
+#> |.....................|   -0.4408 |   -0.9435 |   -0.1591 |...........|
+#> |   79|     762.44482 |     1.000 |   -0.9314 |    -1.416 |   -0.1735 |
+#> |.....................|   -0.9021 |   -0.9129 |   -0.2997 |   -0.4151 |
+#> |.....................|   -0.1391 |   -0.8856 |   -0.7249 |    -1.071 |
+#> |.....................|   -0.5551 |   -0.6647 |   -0.7689 |...........|
+#> |    U|     762.44482 |     97.00 |    -2.886 |    -4.253 |    -4.873 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8733 |
+#> |.....................|    0.7669 |    0.8299 |     1.268 |    0.9367 |
+#> |.....................|     1.108 |     1.619 |     1.478 |...........|
+#> |    X|     762.44482 |     97.00 |   0.05580 |   0.01423 |  0.007647 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8733 |
+#> |.....................|    0.7669 |    0.8299 |     1.268 |    0.9367 |
+#> |.....................|     1.108 |     1.619 |     1.478 |...........|
+#> |    F| Forward Diff. |     2.165 |  -0.03526 |   0.06705 |   -0.1689 |
+#> |.....................|   -0.1452 |    0.1649 |   -0.6916 |    0.2043 |
+#> |.....................|    -1.053 |   -0.3782 |   -0.9414 |    -1.376 |
+#> |.....................|   -0.4339 |   -0.9640 |   -0.1678 |...........|
+#> |   80|     762.44457 |    0.9999 |   -0.9314 |    -1.416 |   -0.1735 |
+#> |.....................|   -0.9021 |   -0.9129 |   -0.2997 |   -0.4151 |
+#> |.....................|   -0.1391 |   -0.8856 |   -0.7248 |    -1.071 |
+#> |.....................|   -0.5551 |   -0.6646 |   -0.7689 |...........|
+#> |    U|     762.44457 |     96.99 |    -2.886 |    -4.253 |    -4.873 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8733 |
+#> |.....................|    0.7669 |    0.8300 |     1.268 |    0.9368 |
+#> |.....................|     1.108 |     1.619 |     1.478 |...........|
+#> |    X|     762.44457 |     96.99 |   0.05580 |   0.01423 |  0.007647 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8733 |
+#> |.....................|    0.7669 |    0.8300 |     1.268 |    0.9368 |
+#> |.....................|     1.108 |     1.619 |     1.478 |...........|
+#> |    F| Forward Diff. |    -1.241 |  -0.03355 |   0.06646 |   -0.1694 |
+#> |.....................|   -0.1600 |    0.1522 |   -0.4229 |    0.3779 |
+#> |.....................|   -0.8707 |   -0.3333 |   -0.8636 |   -0.5164 |
+#> |.....................|   -0.4114 |   -0.9432 |   -0.1630 |...........|
+#> |   81|     762.44429 |     1.000 |   -0.9314 |    -1.416 |   -0.1734 |
+#> |.....................|   -0.9021 |   -0.9130 |   -0.2996 |   -0.4151 |
+#> |.....................|   -0.1390 |   -0.8856 |   -0.7247 |    -1.071 |
+#> |.....................|   -0.5551 |   -0.6645 |   -0.7689 |...........|
+#> |    U|     762.44429 |     97.00 |    -2.886 |    -4.253 |    -4.873 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8733 |
+#> |.....................|    0.7669 |    0.8300 |     1.268 |    0.9368 |
+#> |.....................|     1.108 |     1.619 |     1.478 |...........|
+#> |    X|     762.44429 |     97.00 |   0.05580 |   0.01423 |  0.007647 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8733 |
+#> |.....................|    0.7669 |    0.8300 |     1.268 |    0.9368 |
+#> |.....................|     1.108 |     1.619 |     1.478 |...........|
+#> |    F| Forward Diff. |     2.194 |  -0.03535 |   0.06668 |   -0.1687 |
+#> |.....................|   -0.1413 |    0.1590 |   -0.5714 |    0.3381 |
+#> |.....................|   -0.9309 |   -0.3230 |   -0.9277 |   -0.7053 |
+#> |.....................|   -0.4161 |   -0.9324 |   -0.1528 |...........|
+#> |   82|     762.44403 |    0.9999 |   -0.9314 |    -1.416 |   -0.1734 |
+#> |.....................|   -0.9021 |   -0.9130 |   -0.2996 |   -0.4152 |
+#> |.....................|   -0.1390 |   -0.8855 |   -0.7246 |    -1.070 |
+#> |.....................|   -0.5550 |   -0.6645 |   -0.7689 |...........|
+#> |    U|     762.44403 |     96.99 |    -2.886 |    -4.253 |    -4.873 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8733 |
+#> |.....................|    0.7670 |    0.8300 |     1.268 |    0.9369 |
+#> |.....................|     1.108 |     1.619 |     1.478 |...........|
+#> |    X|     762.44403 |     96.99 |   0.05580 |   0.01423 |  0.007647 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8733 |
+#> |.....................|    0.7670 |    0.8300 |     1.268 |    0.9369 |
+#> |.....................|     1.108 |     1.619 |     1.478 |...........|
+#> |    F| Forward Diff. |    -1.197 |  -0.03347 |   0.06628 |   -0.1692 |
+#> |.....................|   -0.1562 |    0.1463 |   -0.5532 |    0.2989 |
+#> |.....................|   -0.9647 |   -0.3192 |   -0.9128 |   -0.7175 |
+#> |.....................|   -0.4587 |   -0.9463 |   -0.1607 |...........|
+#> |   83|     762.44374 |     1.000 |   -0.9314 |    -1.416 |   -0.1734 |
+#> |.....................|   -0.9021 |   -0.9130 |   -0.2996 |   -0.4152 |
+#> |.....................|   -0.1389 |   -0.8855 |   -0.7245 |    -1.070 |
+#> |.....................|   -0.5550 |   -0.6644 |   -0.7689 |...........|
+#> |    U|     762.44374 |     97.00 |    -2.886 |    -4.253 |    -4.873 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8733 |
+#> |.....................|    0.7670 |    0.8301 |     1.268 |    0.9369 |
+#> |.....................|     1.108 |     1.619 |     1.478 |...........|
+#> |    X|     762.44374 |     97.00 |   0.05580 |   0.01423 |  0.007647 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8733 |
+#> |.....................|    0.7670 |    0.8301 |     1.268 |    0.9369 |
+#> |.....................|     1.108 |     1.619 |     1.478 |...........|
+#> |    F| Forward Diff. |     1.963 |  -0.03502 |   0.06649 |   -0.1685 |
+#> |.....................|   -0.1388 |    0.1528 |   -0.5508 |    0.3111 |
+#> |.....................|   -0.7878 |   -0.3058 |   -0.9061 |   -0.7073 |
+#> |.....................|   -0.4580 |   -0.9428 |   -0.1693 |...........|
+#> |   84|     762.44359 |    0.9999 |   -0.9314 |    -1.416 |   -0.1734 |
+#> |.....................|   -0.9021 |   -0.9130 |   -0.2995 |   -0.4152 |
+#> |.....................|   -0.1389 |   -0.8855 |   -0.7244 |    -1.070 |
+#> |.....................|   -0.5550 |   -0.6643 |   -0.7689 |...........|
+#> |    U|     762.44359 |     96.99 |    -2.886 |    -4.253 |    -4.873 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8733 |
+#> |.....................|    0.7670 |    0.8301 |     1.268 |    0.9370 |
+#> |.....................|     1.108 |     1.619 |     1.478 |...........|
+#> |    X|     762.44359 |     96.99 |   0.05580 |   0.01423 |  0.007647 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8733 |
+#> |.....................|    0.7670 |    0.8301 |     1.268 |    0.9370 |
+#> |.....................|     1.108 |     1.619 |     1.478 |...........|
+#> |    C| Central Diff. |    -2.684 |  -0.05996 |   0.05741 |   -0.1839 |
+#> |.....................|   -0.2433 |   0.07318 |   -0.4825 |    0.3221 |
+#> |.....................|   -0.8461 |   -0.3440 |   -0.8674 |   -0.7797 |
+#> |.....................|   -0.7318 |   -0.7544 |   -0.1758 |...........|
+#> |   85|     762.44327 |     1.000 |   -0.9314 |    -1.416 |   -0.1734 |
+#> |.....................|   -0.9021 |   -0.9130 |   -0.2995 |   -0.4153 |
+#> |.....................|   -0.1389 |   -0.8855 |   -0.7243 |    -1.070 |
+#> |.....................|   -0.5549 |   -0.6642 |   -0.7688 |...........|
+#> |    U|     762.44327 |     97.00 |    -2.886 |    -4.253 |    -4.873 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8733 |
+#> |.....................|    0.7670 |    0.8301 |     1.268 |    0.9370 |
+#> |.....................|     1.108 |     1.619 |     1.478 |...........|
+#> |    X|     762.44327 |     97.00 |   0.05580 |   0.01423 |  0.007648 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8733 |
+#> |.....................|    0.7670 |    0.8301 |     1.268 |    0.9370 |
+#> |.....................|     1.108 |     1.619 |     1.478 |...........|
+#> |    F| Forward Diff. |     1.433 |  -0.03457 |   0.06633 |   -0.1687 |
+#> |.....................|   -0.1378 |    0.1478 |   -0.5721 |    0.2715 |
+#> |.....................|   -0.9861 |   -0.3308 |   -0.8969 |   -0.7064 |
+#> |.....................|   -0.4388 |   -0.9204 |   -0.1570 |...........|
+#> |   86|     762.44310 |    0.9999 |   -0.9314 |    -1.416 |   -0.1733 |
+#> |.....................|   -0.9021 |   -0.9130 |   -0.2994 |   -0.4153 |
+#> |.....................|   -0.1388 |   -0.8854 |   -0.7242 |    -1.070 |
+#> |.....................|   -0.5549 |   -0.6642 |   -0.7688 |...........|
+#> |    U|      762.4431 |     96.99 |    -2.886 |    -4.253 |    -4.873 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8733 |
+#> |.....................|    0.7670 |    0.8301 |     1.268 |    0.9371 |
+#> |.....................|     1.108 |     1.619 |     1.478 |...........|
+#> |    X|      762.4431 |     96.99 |   0.05580 |   0.01423 |  0.007648 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8733 |
+#> |.....................|    0.7670 |    0.8301 |     1.268 |    0.9371 |
+#> |.....................|     1.108 |     1.619 |     1.478 |...........|
+#> |    C| Central Diff. |    -2.488 |  -0.05983 |   0.05732 |   -0.1840 |
+#> |.....................|   -0.2388 |   0.07017 |   -0.4805 |    0.5027 |
+#> |.....................|   -0.8122 |   -0.3072 |   -0.8597 |   -0.7873 |
+#> |.....................|   -0.7191 |   -0.5849 |   -0.1893 |...........|
+#> |   87|     762.44280 |     1.000 |   -0.9314 |    -1.416 |   -0.1733 |
+#> |.....................|   -0.9021 |   -0.9130 |   -0.2994 |   -0.4153 |
+#> |.....................|   -0.1388 |   -0.8854 |   -0.7241 |    -1.070 |
+#> |.....................|   -0.5548 |   -0.6641 |   -0.7688 |...........|
+#> |    U|      762.4428 |     97.00 |    -2.886 |    -4.253 |    -4.873 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8732 |
+#> |.....................|    0.7670 |    0.8301 |     1.268 |    0.9371 |
+#> |.....................|     1.108 |     1.620 |     1.478 |...........|
+#> |    X|      762.4428 |     97.00 |   0.05580 |   0.01423 |  0.007648 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8732 |
+#> |.....................|    0.7670 |    0.8301 |     1.268 |    0.9371 |
+#> |.....................|     1.108 |     1.620 |     1.478 |...........|
+#> |    F| Forward Diff. |     1.618 |  -0.03464 |   0.06615 |   -0.1687 |
+#> |.....................|   -0.1343 |    0.1439 |   -0.4410 |    0.3116 |
+#> |.....................|   -0.7529 |   -0.3320 |   -0.8865 |   -0.6978 |
+#> |.....................|   -0.4222 |   -0.9084 |   -0.1490 |...........|
+#> |   88|     762.44259 |    0.9999 |   -0.9314 |    -1.416 |   -0.1733 |
+#> |.....................|   -0.9021 |   -0.9130 |   -0.2994 |   -0.4154 |
+#> |.....................|   -0.1387 |   -0.8854 |   -0.7240 |    -1.070 |
+#> |.....................|   -0.5548 |   -0.6640 |   -0.7687 |...........|
+#> |    U|     762.44259 |     96.99 |    -2.886 |    -4.253 |    -4.873 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8732 |
+#> |.....................|    0.7670 |    0.8302 |     1.269 |    0.9371 |
+#> |.....................|     1.108 |     1.620 |     1.478 |...........|
+#> |    X|     762.44259 |     96.99 |   0.05580 |   0.01423 |  0.007648 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8732 |
+#> |.....................|    0.7670 |    0.8302 |     1.269 |    0.9371 |
+#> |.....................|     1.108 |     1.620 |     1.478 |...........|
+#> |    F| Forward Diff. |    -1.481 |  -0.03300 |   0.06550 |   -0.1695 |
+#> |.....................|   -0.1475 |    0.1316 |   -0.5909 |    0.2411 |
+#> |.....................|   -0.9770 |   -0.3768 |   -0.8670 |    -1.331 |
+#> |.....................|   -0.4247 |   -0.9107 |   -0.1525 |...........|
+#> |   89|     762.44225 |     1.000 |   -0.9314 |    -1.416 |   -0.1733 |
+#> |.....................|   -0.9021 |   -0.9130 |   -0.2993 |   -0.4154 |
+#> |.....................|   -0.1387 |   -0.8853 |   -0.7239 |    -1.070 |
+#> |.....................|   -0.5548 |   -0.6639 |   -0.7687 |...........|
+#> |    U|     762.44225 |     97.00 |    -2.886 |    -4.253 |    -4.873 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8732 |
+#> |.....................|    0.7670 |    0.8302 |     1.269 |    0.9372 |
+#> |.....................|     1.108 |     1.620 |     1.478 |...........|
+#> |    X|     762.44225 |     97.00 |   0.05580 |   0.01423 |  0.007648 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8732 |
+#> |.....................|    0.7670 |    0.8302 |     1.269 |    0.9372 |
+#> |.....................|     1.108 |     1.620 |     1.478 |...........|
+#> |    F| Forward Diff. |     1.420 |  -0.03457 |   0.06572 |   -0.1685 |
+#> |.....................|   -0.1336 |    0.1386 |   -0.4202 |    0.2852 |
+#> |.....................|   -0.9190 |   -0.3266 |   -0.8656 |   -0.6768 |
+#> |.....................|   -0.4245 |   -0.9083 |   -0.1511 |...........|
+#> |   90|     762.44213 |    0.9998 |   -0.9314 |    -1.416 |   -0.1732 |
+#> |.....................|   -0.9021 |   -0.9130 |   -0.2993 |   -0.4154 |
+#> |.....................|   -0.1386 |   -0.8853 |   -0.7238 |    -1.070 |
+#> |.....................|   -0.5547 |   -0.6639 |   -0.7687 |...........|
+#> |    U|     762.44213 |     96.99 |    -2.886 |    -4.253 |    -4.873 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8732 |
+#> |.....................|    0.7670 |    0.8302 |     1.269 |    0.9373 |
+#> |.....................|     1.108 |     1.620 |     1.478 |...........|
+#> |    X|     762.44213 |     96.99 |   0.05580 |   0.01423 |  0.007649 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8732 |
+#> |.....................|    0.7670 |    0.8302 |     1.269 |    0.9373 |
+#> |.....................|     1.108 |     1.620 |     1.478 |...........|
+#> |    C| Central Diff. |    -2.863 |  -0.05945 |   0.05668 |   -0.1838 |
+#> |.....................|   -0.2350 |   0.05997 |   -0.4163 |    0.3221 |
+#> |.....................|   -0.8675 |   -0.3570 |   -0.8347 |   -0.7546 |
+#> |.....................|   -0.7945 |   -0.5713 |   -0.1981 |...........|
+#> |   91|     762.44181 |     1.000 |   -0.9314 |    -1.416 |   -0.1732 |
+#> |.....................|   -0.9021 |   -0.9130 |   -0.2993 |   -0.4154 |
+#> |.....................|   -0.1386 |   -0.8853 |   -0.7237 |    -1.070 |
+#> |.....................|   -0.5547 |   -0.6638 |   -0.7687 |...........|
+#> |    U|     762.44181 |     97.00 |    -2.886 |    -4.253 |    -4.873 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8732 |
+#> |.....................|    0.7671 |    0.8302 |     1.269 |    0.9373 |
+#> |.....................|     1.108 |     1.620 |     1.478 |...........|
+#> |    X|     762.44181 |     97.00 |   0.05580 |   0.01423 |  0.007649 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8732 |
+#> |.....................|    0.7671 |    0.8302 |     1.269 |    0.9373 |
+#> |.....................|     1.108 |     1.620 |     1.478 |...........|
+#> |    F| Forward Diff. |     1.253 |  -0.03424 |   0.06574 |   -0.1683 |
+#> |.....................|   -0.1309 |    0.1341 |   -0.5651 |    0.1807 |
+#> |.....................|    -1.016 |   -0.3557 |   -0.8957 |   -0.7064 |
+#> |.....................|   -0.5151 |   -0.5648 |   -0.1753 |...........|
+#> |   92|     762.44169 |    0.9999 |   -0.9314 |    -1.416 |   -0.1732 |
+#> |.....................|   -0.9020 |   -0.9130 |   -0.2993 |   -0.4154 |
+#> |.....................|   -0.1385 |   -0.8853 |   -0.7236 |    -1.070 |
+#> |.....................|   -0.5547 |   -0.6638 |   -0.7687 |...........|
+#> |    U|     762.44169 |     96.99 |    -2.886 |    -4.253 |    -4.873 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8732 |
+#> |.....................|    0.7671 |    0.8303 |     1.269 |    0.9374 |
+#> |.....................|     1.108 |     1.620 |     1.478 |...........|
+#> |    X|     762.44169 |     96.99 |   0.05581 |   0.01423 |  0.007649 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8732 |
+#> |.....................|    0.7671 |    0.8303 |     1.269 |    0.9374 |
+#> |.....................|     1.108 |     1.620 |     1.478 |...........|
+#> |    C| Central Diff. |    -2.696 |  -0.05943 |   0.05667 |   -0.1838 |
+#> |.....................|   -0.2311 |   0.05629 |   -0.4589 |    0.3239 |
+#> |.....................|   -0.8257 |   -0.3368 |   -0.8102 |   -0.7513 |
+#> |.....................|   -0.7185 |   -0.5600 |   -0.1932 |...........|
+#> |   93|     762.44142 |     1.000 |   -0.9314 |    -1.416 |   -0.1731 |
+#> |.....................|   -0.9020 |   -0.9130 |   -0.2992 |   -0.4154 |
+#> |.....................|   -0.1385 |   -0.8852 |   -0.7235 |    -1.070 |
+#> |.....................|   -0.5546 |   -0.6637 |   -0.7687 |...........|
+#> |    U|     762.44142 |     97.00 |    -2.886 |    -4.253 |    -4.873 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8732 |
+#> |.....................|    0.7671 |    0.8303 |     1.269 |    0.9374 |
+#> |.....................|     1.108 |     1.620 |     1.478 |...........|
+#> |    X|     762.44142 |     97.00 |   0.05581 |   0.01423 |  0.007649 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8732 |
+#> |.....................|    0.7671 |    0.8303 |     1.269 |    0.9374 |
+#> |.....................|     1.108 |     1.620 |     1.478 |...........|
+#> |    F| Forward Diff. |     1.335 |  -0.03441 |   0.06556 |   -0.1684 |
+#> |.....................|   -0.1266 |    0.1302 |   -0.6103 |    0.1783 |
+#> |.....................|    -1.044 |   -0.3387 |   -0.8638 |    -1.338 |
+#> |.....................|   -0.5275 |   -0.5670 |   -0.1757 |...........|
+#> |   94|     762.44125 |    0.9999 |   -0.9314 |    -1.415 |   -0.1731 |
+#> |.....................|   -0.9020 |   -0.9131 |   -0.2992 |   -0.4154 |
+#> |.....................|   -0.1384 |   -0.8852 |   -0.7234 |    -1.070 |
+#> |.....................|   -0.5545 |   -0.6637 |   -0.7687 |...........|
+#> |    U|     762.44125 |     96.99 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.042 |    -1.970 |     2.676 |    0.8732 |
+#> |.....................|    0.7671 |    0.8303 |     1.269 |    0.9375 |
+#> |.....................|     1.108 |     1.620 |     1.478 |...........|
+#> |    X|     762.44125 |     96.99 |   0.05581 |   0.01423 |  0.007649 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8732 |
+#> |.....................|    0.7671 |    0.8303 |     1.269 |    0.9375 |
+#> |.....................|     1.108 |     1.620 |     1.478 |...........|
+#> |    C| Central Diff. |    -2.098 |  -0.05964 |   0.05680 |   -0.1834 |
+#> |.....................|   -0.2254 |   0.05544 |   -0.4561 |    0.3185 |
+#> |.....................|   -0.8411 |   -0.2737 |   -0.7922 |   -0.7469 |
+#> |.....................|   -0.7250 |   -0.5635 |   -0.1902 |...........|
+#> |   95|     762.44108 |     1.000 |   -0.9314 |    -1.415 |   -0.1731 |
+#> |.....................|   -0.9020 |   -0.9131 |   -0.2992 |   -0.4154 |
+#> |.....................|   -0.1384 |   -0.8852 |   -0.7233 |    -1.070 |
+#> |.....................|   -0.5545 |   -0.6636 |   -0.7687 |...........|
+#> |    U|     762.44108 |     97.00 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.970 |     2.676 |    0.8732 |
+#> |.....................|    0.7671 |    0.8303 |     1.269 |    0.9376 |
+#> |.....................|     1.108 |     1.620 |     1.478 |...........|
+#> |    X|     762.44108 |     97.00 |   0.05581 |   0.01423 |  0.007650 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8732 |
+#> |.....................|    0.7671 |    0.8303 |     1.269 |    0.9376 |
+#> |.....................|     1.108 |     1.620 |     1.478 |...........|
+#> |    C| Central Diff. |     2.161 |  -0.06174 |   0.05743 |   -0.1824 |
+#> |.....................|   -0.2028 |   0.06759 |   -0.4445 |    0.3255 |
+#> |.....................|   -0.8755 |   -0.3449 |   -0.7930 |   -0.7294 |
+#> |.....................|   -0.7121 |   -0.5628 |   -0.1899 |...........|
+#> |   96|     762.44087 |    0.9999 |   -0.9313 |    -1.415 |   -0.1731 |
+#> |.....................|   -0.9020 |   -0.9131 |   -0.2991 |   -0.4155 |
+#> |.....................|   -0.1383 |   -0.8852 |   -0.7232 |    -1.070 |
+#> |.....................|   -0.5544 |   -0.6636 |   -0.7686 |...........|
+#> |    U|     762.44087 |     96.99 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.970 |     2.676 |    0.8732 |
+#> |.....................|    0.7671 |    0.8303 |     1.269 |    0.9376 |
+#> |.....................|     1.108 |     1.620 |     1.478 |...........|
+#> |    X|     762.44087 |     96.99 |   0.05581 |   0.01423 |  0.007650 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8732 |
+#> |.....................|    0.7671 |    0.8303 |     1.269 |    0.9376 |
+#> |.....................|     1.108 |     1.620 |     1.478 |...........|
+#> |    F| Forward Diff. |   -0.8905 |  -0.03259 |   0.06518 |   -0.1692 |
+#> |.....................|   -0.1290 |    0.1190 |   -0.3929 |    0.3938 |
+#> |.....................|   -0.7338 |   -0.2959 |   -0.8056 |    -1.276 |
+#> |.....................|   -0.4089 |   -0.8806 |   -0.1497 |...........|
+#> |   97|     762.44057 |     1.000 |   -0.9313 |    -1.415 |   -0.1731 |
+#> |.....................|   -0.9020 |   -0.9131 |   -0.2991 |   -0.4155 |
+#> |.....................|   -0.1383 |   -0.8852 |   -0.7232 |    -1.070 |
+#> |.....................|   -0.5544 |   -0.6635 |   -0.7686 |...........|
+#> |    U|     762.44057 |     97.00 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.970 |     2.676 |    0.8732 |
+#> |.....................|    0.7672 |    0.8304 |     1.269 |    0.9377 |
+#> |.....................|     1.109 |     1.620 |     1.478 |...........|
+#> |    X|     762.44057 |     97.00 |   0.05581 |   0.01423 |  0.007650 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8732 |
+#> |.....................|    0.7672 |    0.8304 |     1.269 |    0.9377 |
+#> |.....................|     1.109 |     1.620 |     1.478 |...........|
+#> |    F| Forward Diff. |     1.554 |  -0.03385 |   0.06512 |   -0.1686 |
+#> |.....................|   -0.1157 |    0.1237 |   -0.6002 |    0.2113 |
+#> |.....................|   -0.9800 |   -0.3598 |   -0.8363 |   -0.6768 |
+#> |.....................|   -0.4936 |   -0.5534 |   -0.1651 |...........|
+#> |   98|     762.44050 |    0.9998 |   -0.9313 |    -1.415 |   -0.1730 |
+#> |.....................|   -0.9020 |   -0.9131 |   -0.2991 |   -0.4155 |
+#> |.....................|   -0.1382 |   -0.8851 |   -0.7231 |    -1.070 |
+#> |.....................|   -0.5543 |   -0.6635 |   -0.7686 |...........|
+#> |    U|      762.4405 |     96.98 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.970 |     2.676 |    0.8732 |
+#> |.....................|    0.7672 |    0.8304 |     1.270 |    0.9378 |
+#> |.....................|     1.109 |     1.620 |     1.478 |...........|
+#> |    X|      762.4405 |     96.98 |   0.05581 |   0.01423 |  0.007650 |
+#> |.....................|    0.1149 |    0.1224 |     2.676 |    0.8732 |
+#> |.....................|    0.7672 |    0.8304 |     1.270 |    0.9378 |
+#> |.....................|     1.109 |     1.620 |     1.478 |...........|
+#> |    C| Central Diff. |    -3.014 |  -0.05852 |   0.05608 |   -0.1841 |
+#> |.....................|   -0.2187 |   0.04463 |   -0.4314 |    0.3139 |
+#> |.....................|   -0.8150 |   -0.2938 |   -0.7775 |   -0.7094 |
+#> |.....................|   -0.7099 |   -0.5560 |   -0.1738 |...........|
+#> |   99|     762.44022 |     1.000 |   -0.9313 |    -1.415 |   -0.1730 |
+#> |.....................|   -0.9020 |   -0.9131 |   -0.2990 |   -0.4155 |
+#> |.....................|   -0.1382 |   -0.8851 |   -0.7230 |    -1.070 |
+#> |.....................|   -0.5543 |   -0.6634 |   -0.7686 |...........|
+#> |    U|     762.44022 |     97.00 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.970 |     2.677 |    0.8732 |
+#> |.....................|    0.7672 |    0.8304 |     1.270 |    0.9378 |
+#> |.....................|     1.109 |     1.620 |     1.478 |...........|
+#> |    X|     762.44022 |     97.00 |   0.05581 |   0.01423 |  0.007650 |
+#> |.....................|    0.1149 |    0.1224 |     2.677 |    0.8732 |
+#> |.....................|    0.7672 |    0.8304 |     1.270 |    0.9378 |
+#> |.....................|     1.109 |     1.620 |     1.478 |...........|
+#> |    F| Forward Diff. |     1.178 |  -0.03363 |   0.06507 |   -0.1685 |
+#> |.....................|   -0.1131 |    0.1194 |   -0.3125 |    0.3718 |
+#> |.....................|   -0.7445 |   -0.2864 |   -0.7962 |    -1.246 |
+#> |.....................|   -0.4203 |   -0.8863 |   -0.1505 |...........|
+#> |  100|     762.44004 |    0.9999 |   -0.9313 |    -1.415 |   -0.1730 |
+#> |.....................|   -0.9020 |   -0.9131 |   -0.2990 |   -0.4155 |
+#> |.....................|   -0.1381 |   -0.8851 |   -0.7229 |    -1.070 |
+#> |.....................|   -0.5542 |   -0.6634 |   -0.7686 |...........|
+#> |    U|     762.44004 |     96.99 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.970 |     2.677 |    0.8732 |
+#> |.....................|    0.7672 |    0.8304 |     1.270 |    0.9379 |
+#> |.....................|     1.109 |     1.621 |     1.478 |...........|
+#> |    X|     762.44004 |     96.99 |   0.05581 |   0.01423 |  0.007651 |
+#> |.....................|    0.1149 |    0.1224 |     2.677 |    0.8732 |
+#> |.....................|    0.7672 |    0.8304 |     1.270 |    0.9379 |
+#> |.....................|     1.109 |     1.621 |     1.478 |...........|
+#> |    C| Central Diff. |    -2.333 |  -0.05890 |   0.05611 |   -0.1836 |
+#> |.....................|   -0.2128 |   0.04378 |   -0.4032 |    0.2695 |
+#> |.....................|   -0.7985 |   -0.3486 |   -0.7543 |   -0.7042 |
+#> |.....................|   -0.7059 |   -0.5388 |   -0.1896 |...........|
+#> |  101|     762.43981 |     1.000 |   -0.9313 |    -1.415 |   -0.1729 |
+#> |.....................|   -0.9020 |   -0.9131 |   -0.2990 |   -0.4155 |
+#> |.....................|   -0.1381 |   -0.8850 |   -0.7228 |    -1.070 |
+#> |.....................|   -0.5542 |   -0.6633 |   -0.7686 |...........|
+#> |    U|     762.43981 |     97.00 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.970 |     2.677 |    0.8732 |
+#> |.....................|    0.7672 |    0.8305 |     1.270 |    0.9379 |
+#> |.....................|     1.109 |     1.621 |     1.478 |...........|
+#> |    X|     762.43981 |     97.00 |   0.05581 |   0.01423 |  0.007651 |
+#> |.....................|    0.1149 |    0.1224 |     2.677 |    0.8732 |
+#> |.....................|    0.7672 |    0.8305 |     1.270 |    0.9379 |
+#> |.....................|     1.109 |     1.621 |     1.478 |...........|
+#> |    F| Forward Diff. |     2.028 |  -0.03404 |   0.06496 |   -0.1681 |
+#> |.....................|   -0.1065 |    0.1184 |   -0.4168 |    0.2498 |
+#> |.....................|   -0.9058 |   -0.3159 |   -0.7884 |    -1.255 |
+#> |.....................|   -0.4119 |   -0.8796 |   -0.1400 |...........|
+#> |  102|     762.43962 |    0.9999 |   -0.9313 |    -1.415 |   -0.1729 |
+#> |.....................|   -0.9020 |   -0.9131 |   -0.2990 |   -0.4155 |
+#> |.....................|   -0.1380 |   -0.8850 |   -0.7226 |    -1.070 |
+#> |.....................|   -0.5542 |   -0.6633 |   -0.7686 |...........|
+#> |    U|     762.43962 |     96.99 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.970 |     2.677 |    0.8732 |
+#> |.....................|    0.7672 |    0.8305 |     1.270 |    0.9380 |
+#> |.....................|     1.109 |     1.621 |     1.478 |...........|
+#> |    X|     762.43962 |     96.99 |   0.05581 |   0.01423 |  0.007651 |
+#> |.....................|    0.1149 |    0.1224 |     2.677 |    0.8732 |
+#> |.....................|    0.7672 |    0.8305 |     1.270 |    0.9380 |
+#> |.....................|     1.109 |     1.621 |     1.478 |...........|
+#> |    C| Central Diff. |    -1.383 |  -0.05944 |   0.05652 |   -0.1827 |
+#> |.....................|   -0.2071 |   0.04458 |   -0.4356 |    0.2597 |
+#> |.....................|   -0.6953 |   -0.3158 |   -0.7477 |   -0.7025 |
+#> |.....................|   -0.6996 |   -0.5341 |   -0.1909 |...........|
+#> |  103|     762.43950 |     1.000 |   -0.9313 |    -1.415 |   -0.1729 |
+#> |.....................|   -0.9020 |   -0.9131 |   -0.2989 |   -0.4155 |
+#> |.....................|   -0.1380 |   -0.8850 |   -0.7226 |    -1.069 |
+#> |.....................|   -0.5541 |   -0.6632 |   -0.7686 |...........|
+#> |    U|      762.4395 |     97.00 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.970 |     2.677 |    0.8732 |
+#> |.....................|    0.7672 |    0.8305 |     1.270 |    0.9381 |
+#> |.....................|     1.109 |     1.621 |     1.478 |...........|
+#> |    X|      762.4395 |     97.00 |   0.05581 |   0.01423 |  0.007651 |
+#> |.....................|    0.1149 |    0.1224 |     2.677 |    0.8732 |
+#> |.....................|    0.7672 |    0.8305 |     1.270 |    0.9381 |
+#> |.....................|     1.109 |     1.621 |     1.478 |...........|
+#> |    C| Central Diff. |     2.549 |  -0.06132 |   0.05688 |   -0.1819 |
+#> |.....................|   -0.1843 |   0.05521 |   -0.4401 |    0.2903 |
+#> |.....................|   -0.8733 |   -0.3487 |   -0.7274 |   -0.6827 |
+#> |.....................|   -0.7019 |   -0.6971 |   -0.1749 |...........|
+#> |  104|     762.43927 |    0.9999 |   -0.9313 |    -1.415 |   -0.1728 |
+#> |.....................|   -0.9019 |   -0.9131 |   -0.2989 |   -0.4155 |
+#> |.....................|   -0.1379 |   -0.8849 |   -0.7225 |    -1.069 |
+#> |.....................|   -0.5540 |   -0.6632 |   -0.7686 |...........|
+#> |    U|     762.43927 |     96.99 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.970 |     2.677 |    0.8732 |
+#> |.....................|    0.7672 |    0.8305 |     1.270 |    0.9381 |
+#> |.....................|     1.109 |     1.621 |     1.478 |...........|
+#> |    X|     762.43927 |     96.99 |   0.05581 |   0.01423 |  0.007652 |
+#> |.....................|    0.1149 |    0.1224 |     2.677 |    0.8732 |
+#> |.....................|    0.7672 |    0.8305 |     1.270 |    0.9381 |
+#> |.....................|     1.109 |     1.621 |     1.478 |...........|
+#> |    F| Forward Diff. |   -0.3204 |  -0.03231 |   0.06473 |   -0.1685 |
+#> |.....................|   -0.1091 |    0.1080 |   -0.5711 |    0.1928 |
+#> |.....................|   -0.9793 |   -0.3347 |   -0.7909 |   -0.6262 |
+#> |.....................|   -0.4835 |   -0.5228 |   -0.1576 |...........|
+#> |  105|     762.43906 |    0.9999 |   -0.9313 |    -1.415 |   -0.1728 |
+#> |.....................|   -0.9019 |   -0.9131 |   -0.2988 |   -0.4156 |
+#> |.....................|   -0.1378 |   -0.8849 |   -0.7224 |    -1.069 |
+#> |.....................|   -0.5540 |   -0.6631 |   -0.7686 |...........|
+#> |    U|     762.43906 |     96.99 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.970 |     2.677 |    0.8732 |
+#> |.....................|    0.7673 |    0.8306 |     1.270 |    0.9382 |
+#> |.....................|     1.109 |     1.621 |     1.478 |...........|
+#> |    X|     762.43906 |     96.99 |   0.05581 |   0.01423 |  0.007652 |
+#> |.....................|    0.1149 |    0.1224 |     2.677 |    0.8732 |
+#> |.....................|    0.7673 |    0.8306 |     1.270 |    0.9382 |
+#> |.....................|     1.109 |     1.621 |     1.478 |...........|
+#> |    F| Forward Diff. |   -0.5587 |  -0.06228 |   0.03863 |   -0.1950 |
+#> |.....................|   -0.1923 |   0.02120 |   -0.5716 |    0.1497 |
+#> |.....................|    -1.063 |   -0.3909 |   -0.8335 |   -0.6812 |
+#> |.....................|   -0.5632 |   -0.5998 |   -0.1754 |...........|
+#> |  106|     762.43877 |     1.000 |   -0.9313 |    -1.415 |   -0.1728 |
+#> |.....................|   -0.9019 |   -0.9131 |   -0.2987 |   -0.4156 |
+#> |.....................|   -0.1376 |   -0.8848 |   -0.7222 |    -1.069 |
+#> |.....................|   -0.5539 |   -0.6630 |   -0.7686 |...........|
+#> |    U|     762.43877 |     97.01 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.970 |     2.677 |    0.8732 |
+#> |.....................|    0.7673 |    0.8306 |     1.271 |    0.9383 |
+#> |.....................|     1.109 |     1.621 |     1.478 |...........|
+#> |    X|     762.43877 |     97.01 |   0.05581 |   0.01423 |  0.007652 |
+#> |.....................|    0.1149 |    0.1224 |     2.677 |    0.8732 |
+#> |.....................|    0.7673 |    0.8306 |     1.271 |    0.9383 |
+#> |.....................|     1.109 |     1.621 |     1.478 |...........|
+#> |    F| Forward Diff. |     4.291 |  -0.03430 |   0.06450 |   -0.1679 |
+#> |.....................|  -0.07426 |    0.1162 |   -0.3841 |    0.3404 |
+#> |.....................|   -0.7902 |   -0.2891 |   -0.7321 |    -1.195 |
+#> |.....................|   -0.4125 |   -0.8681 |   -0.1491 |...........|
+#> |  107|     762.43824 |    0.9999 |   -0.9312 |    -1.415 |   -0.1727 |
+#> |.....................|   -0.9019 |   -0.9131 |   -0.2986 |   -0.4155 |
+#> |.....................|   -0.1375 |   -0.8848 |   -0.7220 |    -1.069 |
+#> |.....................|   -0.5537 |   -0.6629 |   -0.7686 |...........|
+#> |    U|     762.43824 |     96.99 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.970 |     2.677 |    0.8732 |
+#> |.....................|    0.7674 |    0.8307 |     1.271 |    0.9384 |
+#> |.....................|     1.109 |     1.621 |     1.478 |...........|
+#> |    X|     762.43824 |     96.99 |   0.05581 |   0.01423 |  0.007653 |
+#> |.....................|    0.1149 |    0.1223 |     2.677 |    0.8732 |
+#> |.....................|    0.7674 |    0.8307 |     1.271 |    0.9384 |
+#> |.....................|     1.109 |     1.621 |     1.478 |...........|
+#> |    F| Forward Diff. |    0.2143 |  -0.03008 |   0.06460 |   -0.1683 |
+#> |.....................|  -0.09063 |   0.09635 |   -0.3662 |    0.3094 |
+#> |.....................|   -0.8321 |   -0.3196 |   -0.7371 |    -1.200 |
+#> |.....................|   -0.3971 |   -0.8686 |   -0.1637 |...........|
+#> |  108|     762.43774 |    0.9999 |   -0.9312 |    -1.415 |   -0.1727 |
+#> |.....................|   -0.9019 |   -0.9132 |   -0.2986 |   -0.4156 |
+#> |.....................|   -0.1373 |   -0.8847 |   -0.7219 |    -1.069 |
+#> |.....................|   -0.5537 |   -0.6628 |   -0.7686 |...........|
+#> |    U|     762.43774 |     96.99 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.970 |     2.677 |    0.8731 |
+#> |.....................|    0.7674 |    0.8307 |     1.271 |    0.9387 |
+#> |.....................|     1.109 |     1.621 |     1.478 |...........|
+#> |    X|     762.43774 |     96.99 |   0.05581 |   0.01423 |  0.007653 |
+#> |.....................|    0.1149 |    0.1223 |     2.677 |    0.8731 |
+#> |.....................|    0.7674 |    0.8307 |     1.271 |    0.9387 |
+#> |.....................|     1.109 |     1.621 |     1.478 |...........|
+#> |    F| Forward Diff. |    -1.093 |  -0.02921 |   0.06344 |   -0.1689 |
+#> |.....................|  -0.09286 |   0.08671 |   -0.5952 |    0.1702 |
+#> |.....................|   -0.9595 |   -0.3554 |   -0.7565 |    -1.200 |
+#> |.....................|   -0.4954 |   -0.5121 |   -0.1787 |...........|
+#> |  109|     762.43688 |     1.000 |   -0.9312 |    -1.415 |   -0.1726 |
+#> |.....................|   -0.9018 |   -0.9132 |   -0.2983 |   -0.4156 |
+#> |.....................|   -0.1370 |   -0.8845 |   -0.7215 |    -1.069 |
+#> |.....................|   -0.5534 |   -0.6626 |   -0.7686 |...........|
+#> |    U|     762.43688 |     97.00 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.970 |     2.677 |    0.8732 |
+#> |.....................|    0.7675 |    0.8309 |     1.271 |    0.9392 |
+#> |.....................|     1.109 |     1.622 |     1.478 |...........|
+#> |    X|     762.43688 |     97.00 |   0.05581 |   0.01423 |  0.007654 |
+#> |.....................|    0.1150 |    0.1223 |     2.677 |    0.8732 |
+#> |.....................|    0.7675 |    0.8309 |     1.271 |    0.9392 |
+#> |.....................|     1.109 |     1.622 |     1.478 |...........|
+#> |    F| Forward Diff. |     1.631 |  -0.02940 |   0.06277 |   -0.1685 |
+#> |.....................|  -0.07102 |   0.08313 |   -0.3454 |    0.3850 |
+#> |.....................|   -0.6531 |   -0.2578 |   -0.6895 |   -0.5122 |
+#> |.....................|   -0.3743 |   -0.8283 |   -0.1580 |...........|
+#> |  110|     762.43834 |    0.9996 |   -0.9312 |    -1.415 |   -0.1725 |
+#> |.....................|   -0.9018 |   -0.9132 |   -0.2981 |   -0.4156 |
+#> |.....................|   -0.1367 |   -0.8844 |   -0.7212 |    -1.068 |
+#> |.....................|   -0.5532 |   -0.6623 |   -0.7686 |...........|
+#> |    U|     762.43834 |     96.96 |    -2.886 |    -4.252 |    -4.872 |
+#> |.....................|    -2.041 |    -1.971 |     2.677 |    0.8731 |
+#> |.....................|    0.7676 |    0.8310 |     1.272 |    0.9395 |
+#> |.....................|     1.109 |     1.622 |     1.478 |...........|
+#> |    X|     762.43834 |     96.96 |   0.05582 |   0.01423 |  0.007654 |
+#> |.....................|    0.1150 |    0.1223 |     2.677 |    0.8731 |
+#> |.....................|    0.7676 |    0.8310 |     1.272 |    0.9395 |
+#> |.....................|     1.109 |     1.622 |     1.478 |...........|
+#> |  111|     762.43689 |    0.9998 |   -0.9312 |    -1.415 |   -0.1726 |
+#> |.....................|   -0.9018 |   -0.9132 |   -0.2983 |   -0.4156 |
+#> |.....................|   -0.1369 |   -0.8845 |   -0.7215 |    -1.068 |
+#> |.....................|   -0.5534 |   -0.6625 |   -0.7686 |...........|
+#> |    U|     762.43689 |     96.98 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.971 |     2.677 |    0.8731 |
+#> |.....................|    0.7675 |    0.8309 |     1.271 |    0.9392 |
+#> |.....................|     1.109 |     1.622 |     1.478 |...........|
+#> |    X|     762.43689 |     96.98 |   0.05581 |   0.01423 |  0.007654 |
+#> |.....................|    0.1150 |    0.1223 |     2.677 |    0.8731 |
+#> |.....................|    0.7675 |    0.8309 |     1.271 |    0.9392 |
+#> |.....................|     1.109 |     1.622 |     1.478 |...........|
+#> |  112|     762.43680 |    0.9999 |   -0.9312 |    -1.415 |   -0.1726 |
+#> |.....................|   -0.9018 |   -0.9132 |   -0.2983 |   -0.4156 |
+#> |.....................|   -0.1369 |   -0.8845 |   -0.7215 |    -1.068 |
+#> |.....................|   -0.5534 |   -0.6625 |   -0.7686 |...........|
+#> |    U|      762.4368 |     96.99 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.971 |     2.677 |    0.8732 |
+#> |.....................|    0.7675 |    0.8309 |     1.271 |    0.9392 |
+#> |.....................|     1.109 |     1.622 |     1.478 |...........|
+#> |    X|      762.4368 |     96.99 |   0.05581 |   0.01423 |  0.007654 |
+#> |.....................|    0.1150 |    0.1223 |     2.677 |    0.8732 |
+#> |.....................|    0.7675 |    0.8309 |     1.271 |    0.9392 |
+#> |.....................|     1.109 |     1.622 |     1.478 |...........|
+#> |    C| Central Diff. |    -1.290 |  -0.05938 |   0.05401 |   -0.1835 |
+#> |.....................|   -0.1692 |   0.01048 |   -0.3277 |    0.2904 |
+#> |.....................|   -0.7941 |   -0.3134 |   -0.6583 |   -0.6001 |
+#> |.....................|   -0.6796 |   -0.4935 |   -0.1985 |...........|
+#> |  113|     762.43669 |     1.000 |   -0.9312 |    -1.415 |   -0.1726 |
+#> |.....................|   -0.9018 |   -0.9132 |   -0.2983 |   -0.4156 |
+#> |.....................|   -0.1369 |   -0.8845 |   -0.7215 |    -1.068 |
+#> |.....................|   -0.5534 |   -0.6625 |   -0.7686 |...........|
+#> |    U|     762.43669 |     97.00 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.971 |     2.677 |    0.8731 |
+#> |.....................|    0.7675 |    0.8309 |     1.271 |    0.9393 |
+#> |.....................|     1.109 |     1.622 |     1.478 |...........|
+#> |    X|     762.43669 |     97.00 |   0.05581 |   0.01423 |  0.007654 |
+#> |.....................|    0.1150 |    0.1223 |     2.677 |    0.8731 |
+#> |.....................|    0.7675 |    0.8309 |     1.271 |    0.9393 |
+#> |.....................|     1.109 |     1.622 |     1.478 |...........|
+#> |    C| Central Diff. |    0.7530 |  -0.06037 |   0.05419 |   -0.1831 |
+#> |.....................|   -0.1576 |   0.01628 |   -0.3476 |    0.2756 |
+#> |.....................|   -0.7793 |   -0.2989 |   -0.6525 |   -0.5921 |
+#> |.....................|   -0.6883 |   -0.6531 |   -0.1740 |...........|
+#> |  114|     762.43657 |    0.9999 |   -0.9312 |    -1.415 |   -0.1726 |
+#> |.....................|   -0.9018 |   -0.9132 |   -0.2983 |   -0.4156 |
+#> |.....................|   -0.1369 |   -0.8845 |   -0.7214 |    -1.068 |
+#> |.....................|   -0.5533 |   -0.6625 |   -0.7686 |...........|
+#> |    U|     762.43657 |     96.99 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.971 |     2.677 |    0.8731 |
+#> |.....................|    0.7675 |    0.8309 |     1.271 |    0.9393 |
+#> |.....................|     1.109 |     1.622 |     1.478 |...........|
+#> |    X|     762.43657 |     96.99 |   0.05581 |   0.01423 |  0.007654 |
+#> |.....................|    0.1150 |    0.1223 |     2.677 |    0.8731 |
+#> |.....................|    0.7675 |    0.8309 |     1.271 |    0.9393 |
+#> |.....................|     1.109 |     1.622 |     1.478 |...........|
+#> |    C| Central Diff. |   -0.6017 |  -0.05955 |   0.05380 |   -0.1836 |
+#> |.....................|   -0.1610 |   0.01132 |   -0.3419 |    0.2571 |
+#> |.....................|   -0.5470 |   -0.3329 |   -0.6445 |   -0.5910 |
+#> |.....................|   -0.6872 |   -0.4903 |   -0.2027 |...........|
+#> |  115|     762.43648 |     1.000 |   -0.9312 |    -1.415 |   -0.1725 |
+#> |.....................|   -0.9018 |   -0.9132 |   -0.2983 |   -0.4156 |
+#> |.....................|   -0.1368 |   -0.8845 |   -0.7214 |    -1.068 |
+#> |.....................|   -0.5533 |   -0.6625 |   -0.7686 |...........|
+#> |    U|     762.43648 |     97.00 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.971 |     2.677 |    0.8731 |
+#> |.....................|    0.7676 |    0.8309 |     1.271 |    0.9393 |
+#> |.....................|     1.109 |     1.622 |     1.478 |...........|
+#> |    X|     762.43648 |     97.00 |   0.05582 |   0.01423 |  0.007654 |
+#> |.....................|    0.1150 |    0.1223 |     2.677 |    0.8731 |
+#> |.....................|    0.7676 |    0.8309 |     1.271 |    0.9393 |
+#> |.....................|     1.109 |     1.622 |     1.478 |...........|
+#> |    C| Central Diff. |    0.6240 |  -0.06006 |   0.05383 |   -0.1835 |
+#> |.....................|   -0.1526 |   0.01440 |   -0.3766 |    0.2889 |
+#> |.....................|   -0.6299 |   -0.2748 |   -0.6469 |   -0.5850 |
+#> |.....................|   -0.6758 |   -0.4890 |   -0.2032 |...........|
+#> |  116|     762.43640 |    0.9999 |   -0.9312 |    -1.415 |   -0.1725 |
+#> |.....................|   -0.9018 |   -0.9132 |   -0.2982 |   -0.4157 |
+#> |.....................|   -0.1368 |   -0.8845 |   -0.7214 |    -1.068 |
+#> |.....................|   -0.5533 |   -0.6624 |   -0.7686 |...........|
+#> |    U|      762.4364 |     96.99 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.971 |     2.677 |    0.8731 |
+#> |.....................|    0.7676 |    0.8309 |     1.271 |    0.9394 |
+#> |.....................|     1.109 |     1.622 |     1.478 |...........|
+#> |    X|      762.4364 |     96.99 |   0.05582 |   0.01423 |  0.007654 |
+#> |.....................|    0.1150 |    0.1223 |     2.677 |    0.8731 |
+#> |.....................|    0.7676 |    0.8309 |     1.271 |    0.9394 |
+#> |.....................|     1.109 |     1.622 |     1.478 |...........|
+#> |    C| Central Diff. |   -0.6134 |  -0.05930 |   0.05345 |   -0.1840 |
+#> |.....................|   -0.1552 |  0.009772 |   -0.3787 |    0.2674 |
+#> |.....................|   -0.7680 |   -0.3180 |   -0.6329 |   -0.5960 |
+#> |.....................|   -0.6746 |   -0.4920 |   -0.1810 |...........|
+#> |  117|     762.43627 |     1.000 |   -0.9312 |    -1.415 |   -0.1725 |
+#> |.....................|   -0.9018 |   -0.9132 |   -0.2982 |   -0.4157 |
+#> |.....................|   -0.1367 |   -0.8844 |   -0.7213 |    -1.068 |
+#> |.....................|   -0.5532 |   -0.6624 |   -0.7686 |...........|
+#> |    U|     762.43627 |     97.00 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.971 |     2.677 |    0.8731 |
+#> |.....................|    0.7676 |    0.8310 |     1.272 |    0.9394 |
+#> |.....................|     1.109 |     1.622 |     1.478 |...........|
+#> |    X|     762.43627 |     97.00 |   0.05582 |   0.01423 |  0.007654 |
+#> |.....................|    0.1150 |    0.1223 |     2.677 |    0.8731 |
+#> |.....................|    0.7676 |    0.8310 |     1.272 |    0.9394 |
+#> |.....................|     1.109 |     1.622 |     1.478 |...........|
+#> |  118|     762.43603 |     1.000 |   -0.9312 |    -1.415 |   -0.1725 |
+#> |.....................|   -0.9018 |   -0.9132 |   -0.2982 |   -0.4157 |
+#> |.....................|   -0.1367 |   -0.8844 |   -0.7213 |    -1.068 |
+#> |.....................|   -0.5532 |   -0.6624 |   -0.7685 |...........|
+#> |    U|     762.43603 |     97.00 |    -2.886 |    -4.252 |    -4.873 |
+#> |.....................|    -2.041 |    -1.971 |     2.677 |    0.8731 |
+#> |.....................|    0.7676 |    0.8310 |     1.272 |    0.9395 |
+#> |.....................|     1.110 |     1.622 |     1.478 |...........|
+#> |    X|     762.43603 |     97.00 |   0.05582 |   0.01423 |  0.007654 |
+#> |.....................|    0.1150 |    0.1223 |     2.677 |    0.8731 |
+#> |.....................|    0.7676 |    0.8310 |     1.272 |    0.9395 |
+#> |.....................|     1.110 |     1.622 |     1.478 |...........|
+#> |  119|     762.43566 |     1.000 |   -0.9311 |    -1.415 |   -0.1724 |
+#> |.....................|   -0.9017 |   -0.9132 |   -0.2979 |   -0.4156 |
+#> |.....................|   -0.1365 |   -0.8844 |   -0.7210 |    -1.068 |
+#> |.....................|   -0.5529 |   -0.6622 |   -0.7686 |...........|
+#> |    U|     762.43566 |     97.00 |    -2.886 |    -4.252 |    -4.872 |
+#> |.....................|    -2.041 |    -1.971 |     2.678 |    0.8731 |
+#> |.....................|    0.7677 |    0.8310 |     1.272 |    0.9398 |
+#> |.....................|     1.110 |     1.622 |     1.478 |...........|
+#> |    X|     762.43566 |     97.00 |   0.05582 |   0.01424 |  0.007655 |
+#> |.....................|    0.1150 |    0.1223 |     2.678 |    0.8731 |
+#> |.....................|    0.7677 |    0.8310 |     1.272 |    0.9398 |
+#> |.....................|     1.110 |     1.622 |     1.478 |...........|
+#> |    F| Forward Diff. |     2.185 |  -0.02630 |   0.06197 |   -0.1690 |
+#> |.....................|  -0.04569 |   0.06766 |   -0.1965 |    0.3760 |
+#> |.....................|   -0.8361 |   -0.3368 |   -0.6862 |    -1.092 |
+#> |.....................|   -0.4397 |   -0.4588 |   -0.1669 |...........|
+#> |  120|     762.43438 |     1.000 |   -0.9309 |    -1.415 |   -0.1720 |
+#> |.....................|   -0.9017 |   -0.9133 |   -0.2975 |   -0.4155 |
+#> |.....................|   -0.1356 |   -0.8841 |   -0.7203 |    -1.067 |
+#> |.....................|   -0.5523 |   -0.6619 |   -0.7688 |...........|
+#> |    U|     762.43438 |     97.00 |    -2.885 |    -4.252 |    -4.872 |
+#> |.....................|    -2.041 |    -1.971 |     2.678 |    0.8732 |
+#> |.....................|    0.7679 |    0.8313 |     1.273 |    0.9407 |
+#> |.....................|     1.110 |     1.623 |     1.478 |...........|
+#> |    X|     762.43438 |     97.00 |   0.05583 |   0.01424 |  0.007658 |
+#> |.....................|    0.1150 |    0.1223 |     2.678 |    0.8732 |
+#> |.....................|    0.7679 |    0.8313 |     1.273 |    0.9407 |
+#> |.....................|     1.110 |     1.623 |     1.478 |...........|
+#> |    F| Forward Diff. |     3.044 |  -0.02148 |   0.06186 |   -0.1669 |
+#> |.....................|  -0.02022 |   0.04124 |   -0.2960 |    0.3008 |
+#> |.....................|   -0.7013 |   -0.2777 |   -0.6002 |   -0.9685 |
+#> |.....................|   -0.3508 |   -0.7933 |   -0.1801 |...........|
+#> |  121|     762.45137 |    0.9988 |   -0.9307 |    -1.414 |   -0.1714 |
+#> |.....................|   -0.9015 |   -0.9135 |   -0.2962 |   -0.4154 |
+#> |.....................|   -0.1345 |   -0.8836 |   -0.7191 |    -1.066 |
+#> |.....................|   -0.5512 |   -0.6609 |   -0.7687 |...........|
+#> |    U|     762.45137 |     96.89 |    -2.885 |    -4.251 |    -4.871 |
+#> |.....................|    -2.040 |    -1.971 |     2.679 |    0.8732 |
+#> |.....................|    0.7682 |    0.8316 |     1.274 |    0.9425 |
+#> |.....................|     1.111 |     1.624 |     1.478 |...........|
+#> |    X|     762.45137 |     96.89 |   0.05584 |   0.01425 |  0.007663 |
+#> |.....................|    0.1150 |    0.1223 |     2.679 |    0.8732 |
+#> |.....................|    0.7682 |    0.8316 |     1.274 |    0.9425 |
+#> |.....................|     1.111 |     1.624 |     1.478 |...........|
+#> |  122|     762.43671 |    0.9995 |   -0.9309 |    -1.415 |   -0.1720 |
+#> |.....................|   -0.9017 |   -0.9133 |   -0.2974 |   -0.4156 |
+#> |.....................|   -0.1355 |   -0.8840 |   -0.7202 |    -1.067 |
+#> |.....................|   -0.5523 |   -0.6617 |   -0.7687 |...........|
+#> |    U|     762.43671 |     96.95 |    -2.885 |    -4.252 |    -4.872 |
+#> |.....................|    -2.041 |    -1.971 |     2.678 |    0.8732 |
+#> |.....................|    0.7679 |    0.8313 |     1.273 |    0.9409 |
+#> |.....................|     1.110 |     1.623 |     1.478 |...........|
+#> |    X|     762.43671 |     96.95 |   0.05583 |   0.01424 |  0.007658 |
+#> |.....................|    0.1150 |    0.1223 |     2.678 |    0.8732 |
+#> |.....................|    0.7679 |    0.8313 |     1.273 |    0.9409 |
+#> |.....................|     1.110 |     1.623 |     1.478 |...........|
+#> |  123|     762.43423 |    0.9999 |   -0.9309 |    -1.415 |   -0.1720 |
+#> |.....................|   -0.9017 |   -0.9133 |   -0.2975 |   -0.4155 |
+#> |.....................|   -0.1356 |   -0.8841 |   -0.7202 |    -1.067 |
+#> |.....................|   -0.5523 |   -0.6618 |   -0.7688 |...........|
+#> |    U|     762.43423 |     96.99 |    -2.885 |    -4.252 |    -4.872 |
+#> |.....................|    -2.041 |    -1.971 |     2.678 |    0.8732 |
+#> |.....................|    0.7679 |    0.8313 |     1.273 |    0.9408 |
+#> |.....................|     1.110 |     1.623 |     1.478 |...........|
+#> |    X|     762.43423 |     96.99 |   0.05583 |   0.01424 |  0.007658 |
+#> |.....................|    0.1150 |    0.1223 |     2.678 |    0.8732 |
+#> |.....................|    0.7679 |    0.8313 |     1.273 |    0.9408 |
+#> |.....................|     1.110 |     1.623 |     1.478 |...........|
+#> |    F| Forward Diff. |   -0.5170 |  -0.01948 |   0.06121 |   -0.1679 |
+#> |.....................|  -0.03590 |   0.02978 |   -0.3666 |    0.2413 |
+#> |.....................|   -0.7570 |   -0.2885 |   -0.6014 |   -0.3882 |
+#> |.....................|   -0.3403 |   -0.8088 |   -0.1895 |...........|
+#> |  124|     762.43413 |    0.9999 |   -0.9309 |    -1.415 |   -0.1720 |
+#> |.....................|   -0.9017 |   -0.9133 |   -0.2974 |   -0.4155 |
+#> |.....................|   -0.1356 |   -0.8840 |   -0.7202 |    -1.067 |
+#> |.....................|   -0.5523 |   -0.6618 |   -0.7687 |...........|
+#> |    U|     762.43413 |     96.99 |    -2.885 |    -4.252 |    -4.872 |
+#> |.....................|    -2.041 |    -1.971 |     2.678 |    0.8732 |
+#> |.....................|    0.7679 |    0.8313 |     1.273 |    0.9408 |
+#> |.....................|     1.110 |     1.623 |     1.478 |...........|
+#> |    X|     762.43413 |     96.99 |   0.05583 |   0.01424 |  0.007658 |
+#> |.....................|    0.1150 |    0.1223 |     2.678 |    0.8732 |
+#> |.....................|    0.7679 |    0.8313 |     1.273 |    0.9408 |
+#> |.....................|     1.110 |     1.623 |     1.478 |...........|
+#> |    C| Central Diff. |    0.1909 |  -0.05140 |   0.05299 |   -0.1819 |
+#> |.....................|   -0.1179 |  -0.03105 |   -0.2940 |    0.3229 |
+#> |.....................|   -0.7019 |   -0.3052 |   -0.5670 |   -0.4669 |
+#> |.....................|   -0.5306 |   -0.6218 |   -0.1957 |...........|
+#> |  125|     762.43390 |    0.9999 |   -0.9309 |    -1.415 |   -0.1719 |
+#> |.....................|   -0.9016 |   -0.9133 |   -0.2974 |   -0.4156 |
+#> |.....................|   -0.1354 |   -0.8840 |   -0.7201 |    -1.067 |
+#> |.....................|   -0.5522 |   -0.6617 |   -0.7687 |...........|
+#> |    U|      762.4339 |     96.99 |    -2.885 |    -4.252 |    -4.872 |
+#> |.....................|    -2.041 |    -1.971 |     2.678 |    0.8731 |
+#> |.....................|    0.7679 |    0.8313 |     1.273 |    0.9409 |
+#> |.....................|     1.110 |     1.623 |     1.478 |...........|
+#> |    X|      762.4339 |     96.99 |   0.05583 |   0.01424 |  0.007659 |
+#> |.....................|    0.1150 |    0.1223 |     2.678 |    0.8731 |
+#> |.....................|    0.7679 |    0.8313 |     1.273 |    0.9409 |
+#> |.....................|     1.110 |     1.623 |     1.478 |...........|
+#> |    F| Forward Diff. |    -2.114 |  -0.06011 |   0.02465 |   -0.2051 |
+#> |.....................|   -0.1552 |  -0.09095 |   -0.5672 |   0.02114 |
+#> |.....................|   -0.8958 |   -0.3459 |   -0.7191 |   -0.5113 |
+#> |.....................|   -0.5884 |   -0.9931 |   -0.1777 |...........|
+#> |  126|     762.43345 |    0.9998 |   -0.9309 |    -1.415 |   -0.1719 |
+#> |.....................|   -0.9016 |   -0.9133 |   -0.2973 |   -0.4157 |
+#> |.....................|   -0.1352 |   -0.8839 |   -0.7199 |    -1.067 |
+#> |.....................|   -0.5520 |   -0.6614 |   -0.7686 |...........|
+#> |    U|     762.43345 |     96.98 |    -2.885 |    -4.252 |    -4.872 |
+#> |.....................|    -2.041 |    -1.971 |     2.678 |    0.8731 |
+#> |.....................|    0.7680 |    0.8314 |     1.273 |    0.9411 |
+#> |.....................|     1.110 |     1.623 |     1.478 |...........|
+#> |    X|     762.43345 |     96.98 |   0.05583 |   0.01424 |  0.007659 |
+#> |.....................|    0.1150 |    0.1223 |     2.678 |    0.8731 |
+#> |.....................|    0.7680 |    0.8314 |     1.273 |    0.9411 |
+#> |.....................|     1.110 |     1.623 |     1.478 |...........|
+#> |    F| Forward Diff. |    -2.199 |  -0.01754 |   0.05950 |   -0.1696 |
+#> |.....................|  -0.02539 |   0.02275 |   -0.4402 |    0.1842 |
+#> |.....................|   -0.6341 |   -0.3071 |   -0.5996 |   -0.4400 |
+#> |.....................|   -0.3790 |   -0.4298 |   -0.1917 |...........|
+#> |  127|     762.44283 |     1.001 |   -0.9309 |    -1.415 |   -0.1718 |
+#> |.....................|   -0.9016 |   -0.9133 |   -0.2971 |   -0.4158 |
+#> |.....................|   -0.1349 |   -0.8837 |   -0.7196 |    -1.067 |
+#> |.....................|   -0.5519 |   -0.6613 |   -0.7686 |...........|
+#> |    U|     762.44283 |     97.07 |    -2.885 |    -4.252 |    -4.872 |
+#> |.....................|    -2.041 |    -1.971 |     2.679 |    0.8731 |
+#> |.....................|    0.7681 |    0.8315 |     1.273 |    0.9413 |
+#> |.....................|     1.111 |     1.623 |     1.478 |...........|
+#> |    X|     762.44283 |     97.07 |   0.05583 |   0.01424 |  0.007660 |
+#> |.....................|    0.1150 |    0.1223 |     2.679 |    0.8731 |
+#> |.....................|    0.7681 |    0.8315 |     1.273 |    0.9413 |
+#> |.....................|     1.111 |     1.623 |     1.478 |...........|
+#> |  128|     762.43327 |    0.9999 |   -0.9309 |    -1.415 |   -0.1719 |
+#> |.....................|   -0.9016 |   -0.9133 |   -0.2972 |   -0.4157 |
+#> |.....................|   -0.1352 |   -0.8839 |   -0.7199 |    -1.067 |
+#> |.....................|   -0.5520 |   -0.6614 |   -0.7686 |...........|
+#> |    U|     762.43327 |     96.99 |    -2.885 |    -4.252 |    -4.872 |
+#> |.....................|    -2.041 |    -1.971 |     2.678 |    0.8731 |
+#> |.....................|    0.7680 |    0.8314 |     1.273 |    0.9411 |
+#> |.....................|     1.111 |     1.623 |     1.478 |...........|
+#> |    X|     762.43327 |     96.99 |   0.05583 |   0.01424 |  0.007659 |
+#> |.....................|    0.1150 |    0.1223 |     2.678 |    0.8731 |
+#> |.....................|    0.7680 |    0.8314 |     1.273 |    0.9411 |
+#> |.....................|     1.111 |     1.623 |     1.478 |...........|
+#> |    F| Forward Diff. |    0.8515 |  -0.01931 |   0.05976 |   -0.1688 |
+#> |.....................|  -0.01220 |   0.03131 |   -0.3546 |    0.1731 |
+#> |.....................|   -0.7860 |   -0.3212 |   -0.6045 |   -0.3881 |
+#> |.....................|   -0.4306 |   -0.4501 |   -0.2053 |...........|
+#> |  129|     762.43323 |    0.9999 |   -0.9309 |    -1.415 |   -0.1718 |
+#> |.....................|   -0.9016 |   -0.9133 |   -0.2972 |   -0.4157 |
+#> |.....................|   -0.1351 |   -0.8838 |   -0.7198 |    -1.067 |
+#> |.....................|   -0.5520 |   -0.6614 |   -0.7686 |...........|
+#> |    U|     762.43323 |     96.99 |    -2.885 |    -4.252 |    -4.872 |
+#> |.....................|    -2.041 |    -1.971 |     2.678 |    0.8731 |
+#> |.....................|    0.7680 |    0.8315 |     1.273 |    0.9411 |
+#> |.....................|     1.111 |     1.623 |     1.478 |...........|
+#> |    X|     762.43323 |     96.99 |   0.05583 |   0.01424 |  0.007659 |
+#> |.....................|    0.1150 |    0.1223 |     2.678 |    0.8731 |
+#> |.....................|    0.7680 |    0.8315 |     1.273 |    0.9411 |
+#> |.....................|     1.111 |     1.623 |     1.478 |...........|
+#> |    C| Central Diff. |    -1.674 |  -0.04944 |   0.05118 |   -0.1837 |
+#> |.....................|   -0.1087 |  -0.03856 |   -0.2663 |    0.2605 |
+#> |.....................|   -0.5380 |   -0.2892 |   -0.5353 |   -0.4315 |
+#> |.....................|   -0.5100 |   -0.4392 |   -0.2141 |...........|
+#> |  130|     762.43310 |    0.9999 |   -0.9309 |    -1.415 |   -0.1718 |
+#> |.....................|   -0.9016 |   -0.9133 |   -0.2972 |   -0.4158 |
+#> |.....................|   -0.1351 |   -0.8838 |   -0.7198 |    -1.067 |
+#> |.....................|   -0.5519 |   -0.6614 |   -0.7686 |...........|
+#> |    U|      762.4331 |     96.99 |    -2.885 |    -4.252 |    -4.872 |
+#> |.....................|    -2.041 |    -1.971 |     2.678 |    0.8731 |
+#> |.....................|    0.7680 |    0.8315 |     1.273 |    0.9412 |
+#> |.....................|     1.111 |     1.623 |     1.478 |...........|
+#> |    X|      762.4331 |     96.99 |   0.05583 |   0.01424 |  0.007660 |
+#> |.....................|    0.1150 |    0.1223 |     2.678 |    0.8731 |
+#> |.....................|    0.7680 |    0.8315 |     1.273 |    0.9412 |
+#> |.....................|     1.111 |     1.623 |     1.478 |...........|
+#> |    C| Central Diff. |    0.5279 |  -0.05046 |   0.05140 |   -0.1826 |
+#> |.....................|  -0.09758 |  -0.03208 |   -0.2630 |    0.2539 |
+#> |.....................|   -0.6786 |   -0.2981 |   -0.5397 |   -0.4304 |
+#> |.....................|   -0.4336 |   -0.5936 |   -0.1903 |...........|
+#> |  131|     762.43324 |    0.9999 |   -0.9309 |    -1.415 |   -0.1718 |
+#> |.....................|   -0.9016 |   -0.9133 |   -0.2972 |   -0.4158 |
+#> |.....................|   -0.1351 |   -0.8838 |   -0.7198 |    -1.067 |
+#> |.....................|   -0.5519 |   -0.6614 |   -0.7686 |...........|
+#> |    U|     762.43324 |     96.99 |    -2.885 |    -4.252 |    -4.872 |
+#> |.....................|    -2.041 |    -1.971 |     2.678 |    0.8731 |
+#> |.....................|    0.7680 |    0.8315 |     1.273 |    0.9412 |
+#> |.....................|     1.111 |     1.623 |     1.478 |...........|
+#> |    X|     762.43324 |     96.99 |   0.05583 |   0.01424 |  0.007660 |
+#> |.....................|    0.1150 |    0.1223 |     2.678 |    0.8731 |
+#> |.....................|    0.7680 |    0.8315 |     1.273 |    0.9412 |
+#> |.....................|     1.111 |     1.623 |     1.478 |...........|
+#> calculating covariance matrix
+#> done
+#> Calculating residuals/tables
+#> done
+#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))
+#> Warning: ETAs were reset to zero during optimization; (Can control by foceiControl(resetEtaP=.))
+#> Warning: last objective function was not at minimum, possible problems in optimization
+#> Warning: using R matrix to calculate covariance, can check sandwich or S matrix with $covRS and $covS
+#> Warning: gradient problems with initial estimate and covariance; see $scaleInfo
+# }
+
+
+
+ +
+ + +
+

Developed by Johannes Ranke.

+
+ +
+

Site built with pkgdown 2.0.2.

+
+ +
+ + + + + + + + diff --git a/docs/reference/nobs.mkinfit.html b/docs/reference/nobs.mkinfit.html index 6b9948c3..0fc1ca7c 100644 --- a/docs/reference/nobs.mkinfit.html +++ b/docs/reference/nobs.mkinfit.html @@ -1,67 +1,12 @@ - - - - - - - -Number of observations on which an mkinfit object was fitted — nobs.mkinfit • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Number of observations on which an mkinfit object was fitted — nobs.mkinfit • mkin - - - - + + -
-
- -
- -
+

Number of observations on which an mkinfit object was fitted

- Source: R/nobs.mkinfit.R + Source: R/nobs.mkinfit.R
@@ -147,51 +86,44 @@

Number of observations on which an mkinfit object was fitted

- 
# S3 method for mkinfit
-nobs(object, ...)
- -

Arguments

- - - - - - - - - - -
object

An mkinfit object

...

For compatibility with the generic method

- -

Value

+
+ 
# S3 method for mkinfit
+nobs(object, ...)
+
+
+

Arguments

+
object
+

An mkinfit object

+
...
+

For compatibility with the generic method

+
+
+

Value

The number of rows in the data included in the mkinfit object

+
+
- - - + + diff --git a/docs/reference/parms.html b/docs/reference/parms.html index b4346b13..00726a1d 100644 --- a/docs/reference/parms.html +++ b/docs/reference/parms.html @@ -1,69 +1,14 @@ - - - - - - - -Extract model parameters from mkinfit models — parms • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Extract model parameters from mkinfit models — parms • mkin - - - - - - - - - - - + + - - -
-
- -
- -
+

Extract model parameters from mkinfit models

- Source: R/parms.mkinfit.R + Source: R/parms.mkinfit.R
@@ -151,148 +90,147 @@ model parameters, in order to avoid working with a fitted model without considering the error structure that was assumed for the fit.

- 
parms(object, ...)
-
-# S3 method for mkinfit
-parms(object, transformed = FALSE, ...)
+    

+    
parms(object, ...)
 
-# S3 method for mmkin
-parms(object, transformed = FALSE, ...)

+# S3 method for mkinfit
+parms(object, transformed = FALSE, ...)
 
-    
Arguments

-    
-    
-    
-      
-      
-    
-    
-      
-      
-    
-    
-      
-      
-    
-    
object
A fitted model object. Methods are implemented for
-mkinfit() objects and for mmkin() objects.
...
Not used
transformed
Should the parameters be returned
-as used internally during the optimisation?

-
-    
Value

+# S3 method for mmkin
+parms(object, transformed = FALSE, ...)
+
+
+

Arguments

+
object
+

A fitted model object. Methods are implemented for +mkinfit() objects and for mmkin() objects.

+
...
+

Not used

+
transformed
+

Should the parameters be returned +as used internally during the optimisation?

+
+
+

Value

For mkinfit objects, a numeric vector of fitted model parameters. For mmkin row objects, a matrix with the parameters with a row for each dataset. If the mmkin object has more than one row, a list of such matrices is returned.

+
-

Examples

- 
# mkinfit objects
-fit <- mkinfit("SFO", FOCUS_2006_C, quiet = TRUE)
-parms(fit)
-
#>   parent_0   k_parent      sigma 
-#> 82.4921598  0.3060633  4.6730124 
parms(fit, transformed = TRUE)
-
#>     parent_0 log_k_parent        sigma 
-#>    82.492160    -1.183963     4.673012 

-# mmkin objects
-ds <- lapply(experimental_data_for_UBA_2019[6:10],
- function(x) subset(x$data[c("name", "time", "value")]))
-names(ds) <- paste("Dataset", 6:10)
-# \dontrun{
-fits <- mmkin(c("SFO", "FOMC", "DFOP"), ds, quiet = TRUE, cores = 1)
-parms(fits["SFO", ])
-
#>            Dataset 6    Dataset 7  Dataset 8  Dataset 9  Dataset 10
-#> parent_0 88.52275400 82.666781678 86.8547308 91.7779306 82.14809450
-#> k_parent  0.05794659  0.009647805  0.2102974  0.1232258  0.00720421
-#> sigma     5.15274487  7.040168584  3.6769645  6.4669234  6.50457673
parms(fits[, 2])
-
#> $SFO
-#>             Dataset 7
-#> parent_0 82.666781678
-#> k_parent  0.009647805
-#> sigma     7.040168584
-#> 
-#> $FOMC
-#>           Dataset 7
-#> parent_0 92.6837649
-#> alpha     0.4967832
-#> beta     14.1451255
-#> sigma     1.9167519
-#> 
-#> $DFOP
-#>             Dataset 7
-#> parent_0 91.058971589
-#> k1        0.044946770
-#> k2        0.002868336
-#> g         0.526942415
-#> sigma     2.221302196
-#> 
parms(fits)
-
#> $SFO
-#>            Dataset 6    Dataset 7  Dataset 8  Dataset 9  Dataset 10
-#> parent_0 88.52275400 82.666781678 86.8547308 91.7779306 82.14809450
-#> k_parent  0.05794659  0.009647805  0.2102974  0.1232258  0.00720421
-#> sigma     5.15274487  7.040168584  3.6769645  6.4669234  6.50457673
-#> 
-#> $FOMC
-#>          Dataset 6  Dataset 7 Dataset 8 Dataset 9 Dataset 10
-#> parent_0 95.558575 92.6837649 90.719787 98.383939 94.8481459
-#> alpha     1.338667  0.4967832  1.639099  1.074460  0.2805272
-#> beta     13.033315 14.1451255  5.007077  4.397126  6.9052224
-#> sigma     1.847671  1.9167519  1.066063  3.146056  1.6222778
-#> 
-#> $DFOP
-#>            Dataset 6    Dataset 7   Dataset 8   Dataset 9   Dataset 10
-#> parent_0 96.55213663 91.058971589 90.34509493 98.14858820 94.311323734
-#> k1        0.21954588  0.044946770  0.41232288  0.31697588  0.080663857
-#> k2        0.02957934  0.002868336  0.07581766  0.03260384  0.003425417
-#> g         0.44845068  0.526942415  0.66091967  0.65322767  0.342652880
-#> sigma     1.35690468  2.221302196  1.34169076  2.87159846  1.942067831
-#> 
parms(fits, transformed = TRUE)
-
#> $SFO
-#>              Dataset 6 Dataset 7 Dataset 8 Dataset 9 Dataset 10
-#> parent_0     88.522754 82.666782 86.854731 91.777931  82.148094
-#> log_k_parent -2.848234 -4.641025 -1.559232 -2.093737  -4.933090
-#> sigma         5.152745  7.040169  3.676964  6.466923   6.504577
-#> 
-#> $FOMC
-#>            Dataset 6  Dataset 7  Dataset 8   Dataset 9 Dataset 10
-#> parent_0  95.5585751 92.6837649 90.7197870 98.38393897  94.848146
-#> log_alpha  0.2916741 -0.6996015  0.4941466  0.07181816  -1.271085
-#> log_beta   2.5675088  2.6493701  1.6108523  1.48095106   1.932278
-#> sigma      1.8476712  1.9167519  1.0660627  3.14605557   1.622278
-#> 
-#> $DFOP
-#>           Dataset 6  Dataset 7  Dataset 8  Dataset 9 Dataset 10
-#> parent_0 96.5521366 91.0589716 90.3450949 98.1485882 94.3113237
-#> log_k1   -1.5161940 -3.1022764 -0.8859486 -1.1489296 -2.5174647
-#> log_k2   -3.5206791 -5.8540232 -2.5794240 -3.4233253 -5.6765322
-#> g_qlogis -0.2069326  0.1078741  0.6673953  0.6332573 -0.6514943
-#> sigma     1.3569047  2.2213022  1.3416908  2.8715985  1.9420678
-#> 
# }
-
+
+

Examples

+ 
# mkinfit objects
+fit <- mkinfit("SFO", FOCUS_2006_C, quiet = TRUE)
+parms(fit)
+#>   parent_0   k_parent      sigma 
+#> 82.4921598  0.3060633  4.6730124 
+parms(fit, transformed = TRUE)
+#>     parent_0 log_k_parent        sigma 
+#>    82.492160    -1.183963     4.673012 
+
+# mmkin objects
+ds <- lapply(experimental_data_for_UBA_2019[6:10],
+ function(x) subset(x$data[c("name", "time", "value")]))
+names(ds) <- paste("Dataset", 6:10)
+# \dontrun{
+fits <- mmkin(c("SFO", "FOMC", "DFOP"), ds, quiet = TRUE, cores = 1)
+parms(fits["SFO", ])
+#>            Dataset 6    Dataset 7  Dataset 8  Dataset 9  Dataset 10
+#> parent_0 88.52275400 82.666781678 86.8547308 91.7779306 82.14809450
+#> k_parent  0.05794659  0.009647805  0.2102974  0.1232258  0.00720421
+#> sigma     5.15274487  7.040168584  3.6769645  6.4669234  6.50457673
+parms(fits[, 2])
+#> $SFO
+#>             Dataset 7
+#> parent_0 82.666781678
+#> k_parent  0.009647805
+#> sigma     7.040168584
+#> 
+#> $FOMC
+#>           Dataset 7
+#> parent_0 92.6837649
+#> alpha     0.4967832
+#> beta     14.1451255
+#> sigma     1.9167519
+#> 
+#> $DFOP
+#>             Dataset 7
+#> parent_0 91.058971589
+#> k1        0.044946770
+#> k2        0.002868336
+#> g         0.526942415
+#> sigma     2.221302196
+#> 
+parms(fits)
+#> $SFO
+#>            Dataset 6    Dataset 7  Dataset 8  Dataset 9  Dataset 10
+#> parent_0 88.52275400 82.666781678 86.8547308 91.7779306 82.14809450
+#> k_parent  0.05794659  0.009647805  0.2102974  0.1232258  0.00720421
+#> sigma     5.15274487  7.040168584  3.6769645  6.4669234  6.50457673
+#> 
+#> $FOMC
+#>          Dataset 6  Dataset 7 Dataset 8 Dataset 9 Dataset 10
+#> parent_0 95.558575 92.6837649 90.719787 98.383939 94.8481459
+#> alpha     1.338667  0.4967832  1.639099  1.074460  0.2805272
+#> beta     13.033315 14.1451255  5.007077  4.397126  6.9052224
+#> sigma     1.847671  1.9167519  1.066063  3.146056  1.6222778
+#> 
+#> $DFOP
+#>            Dataset 6    Dataset 7   Dataset 8   Dataset 9   Dataset 10
+#> parent_0 96.55213663 91.058971589 90.34509493 98.14858820 94.311323734
+#> k1        0.21954588  0.044946770  0.41232288  0.31697588  0.080663857
+#> k2        0.02957934  0.002868336  0.07581766  0.03260384  0.003425417
+#> g         0.44845068  0.526942415  0.66091967  0.65322767  0.342652880
+#> sigma     1.35690468  2.221302196  1.34169076  2.87159846  1.942067831
+#> 
+parms(fits, transformed = TRUE)
+#> $SFO
+#>              Dataset 6 Dataset 7 Dataset 8 Dataset 9 Dataset 10
+#> parent_0     88.522754 82.666782 86.854731 91.777931  82.148094
+#> log_k_parent -2.848234 -4.641025 -1.559232 -2.093737  -4.933090
+#> sigma         5.152745  7.040169  3.676964  6.466923   6.504577
+#> 
+#> $FOMC
+#>            Dataset 6  Dataset 7  Dataset 8   Dataset 9 Dataset 10
+#> parent_0  95.5585751 92.6837649 90.7197870 98.38393897  94.848146
+#> log_alpha  0.2916741 -0.6996015  0.4941466  0.07181816  -1.271085
+#> log_beta   2.5675088  2.6493701  1.6108523  1.48095106   1.932278
+#> sigma      1.8476712  1.9167519  1.0660627  3.14605557   1.622278
+#> 
+#> $DFOP
+#>           Dataset 6  Dataset 7  Dataset 8  Dataset 9 Dataset 10
+#> parent_0 96.5521366 91.0589716 90.3450949 98.1485882 94.3113237
+#> log_k1   -1.5161940 -3.1022764 -0.8859486 -1.1489296 -2.5174647
+#> log_k2   -3.5206791 -5.8540232 -2.5794240 -3.4233253 -5.6765322
+#> g_qlogis -0.2069326  0.1078741  0.6673953  0.6332573 -0.6514943
+#> sigma     1.3569047  2.2213022  1.3416908  2.8715985  1.9420678
+#> 
+# }
+
+
+ - - - + + diff --git a/docs/reference/plot.mixed.mmkin-1.png b/docs/reference/plot.mixed.mmkin-1.png index be3c664a..8a09a167 100644 Binary files a/docs/reference/plot.mixed.mmkin-1.png and b/docs/reference/plot.mixed.mmkin-1.png differ diff --git a/docs/reference/plot.mixed.mmkin-2.png b/docs/reference/plot.mixed.mmkin-2.png index 933d477b..67c9b8ab 100644 Binary files a/docs/reference/plot.mixed.mmkin-2.png and b/docs/reference/plot.mixed.mmkin-2.png differ diff --git a/docs/reference/plot.mixed.mmkin.html b/docs/reference/plot.mixed.mmkin.html index 090a644c..da382eb9 100644 --- a/docs/reference/plot.mixed.mmkin.html +++ b/docs/reference/plot.mixed.mmkin.html @@ -1,67 +1,12 @@ - - - - - - - -Plot predictions from a fitted nonlinear mixed model obtained via an mmkin row object — plot.mixed.mmkin • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Plot predictions from a fitted nonlinear mixed model obtained via an mmkin row object — plot.mixed.mmkin • mkin + + - - - - -
-
- -
- -
+

Plot predictions from a fitted nonlinear mixed model obtained via an mmkin row object

- Source: R/plot.mixed.mmkin.R + Source: R/plot.mixed.mmkin.R
@@ -147,167 +86,158 @@

Plot predictions from a fitted nonlinear mixed model obtained via an mmkin row object

- 
# S3 method for mixed.mmkin
-plot(
-  x,
-  i = 1:ncol(x$mmkin),
-  obs_vars = names(x$mkinmod$map),
-  standardized = TRUE,
-  xlab = "Time",
-  xlim = range(x$data$time),
-  resplot = c("predicted", "time"),
-  pred_over = NULL,
-  ymax = "auto",
-  maxabs = "auto",
-  ncol.legend = ifelse(length(i) <= 3, length(i) + 1, ifelse(length(i) <= 8, 3, 4)),
-  nrow.legend = ceiling((length(i) + 1)/ncol.legend),
-  rel.height.legend = 0.02 + 0.07 * nrow.legend,
-  rel.height.bottom = 1.1,
-  pch_ds = 1:length(i),
-  col_ds = pch_ds + 1,
-  lty_ds = col_ds,
-  frame = TRUE,
-  ...
-)
+
+ 
# S3 method for mixed.mmkin
+plot(
+  x,
+  i = 1:ncol(x$mmkin),
+  obs_vars = names(x$mkinmod$map),
+  standardized = TRUE,
+  xlab = "Time",
+  xlim = range(x$data$time),
+  resplot = c("predicted", "time"),
+  pred_over = NULL,
+  test_log_parms = FALSE,
+  conf.level = 0.6,
+  ymax = "auto",
+  maxabs = "auto",
+  ncol.legend = ifelse(length(i) <= 3, length(i) + 1, ifelse(length(i) <= 8, 3, 4)),
+  nrow.legend = ceiling((length(i) + 1)/ncol.legend),
+  rel.height.legend = 0.02 + 0.07 * nrow.legend,
+  rel.height.bottom = 1.1,
+  pch_ds = 1:length(i),
+  col_ds = pch_ds + 1,
+  lty_ds = col_ds,
+  frame = TRUE,
+  ...
+)
+
-

Arguments

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
x

An object of class mixed.mmkin, nlme.mmkin

i

A numeric index to select datasets for which to plot the individual predictions, -in case plots get too large

obs_vars

A character vector of names of the observed variables for +

+

Arguments

+
x
+

An object of class mixed.mmkin, saem.mmkin or nlme.mmkin

+
i
+

A numeric index to select datasets for which to plot the individual predictions, +in case plots get too large

+
obs_vars
+

A character vector of names of the observed variables for which the data and the model should be plotted. Defauls to all observed -variables in the model.

standardized

Should the residuals be standardized? Only takes effect if -resplot = "time".

xlab

Label for the x axis.

xlim

Plot range in x direction.

resplot

Should the residuals plotted against time or against -predicted values?

pred_over

Named list of alternative predictions as obtained -from mkinpredict with a compatible mkinmod.

ymax

Vector of maximum y axis values

maxabs

Maximum absolute value of the residuals. This is used for the -scaling of the y axis and defaults to "auto".

ncol.legend

Number of columns to use in the legend

nrow.legend

Number of rows to use in the legend

rel.height.legend

The relative height of the legend shown on top

rel.height.bottom

The relative height of the bottom plot row

pch_ds

Symbols to be used for plotting the data.

col_ds

Colors used for plotting the observed data and the -corresponding model prediction lines for the different datasets.

lty_ds

Line types to be used for the model predictions.

frame

Should a frame be drawn around the plots?

...

Further arguments passed to plot.

- -

Value

- +variables in the model.

+
standardized
+

Should the residuals be standardized? Only takes effect if +resplot = "time".

+
xlab
+

Label for the x axis.

+
xlim
+

Plot range in x direction.

+
resplot
+

Should the residuals plotted against time or against +predicted values?

+
pred_over
+

Named list of alternative predictions as obtained +from mkinpredict with a compatible mkinmod.

+
test_log_parms
+

Passed to mean_degparms in the case of an +mixed.mmkin object

+
conf.level
+

Passed to mean_degparms in the case of an +mixed.mmkin object

+
ymax
+

Vector of maximum y axis values

+
maxabs
+

Maximum absolute value of the residuals. This is used for the +scaling of the y axis and defaults to "auto".

+
ncol.legend
+

Number of columns to use in the legend

+
nrow.legend
+

Number of rows to use in the legend

+
rel.height.legend
+

The relative height of the legend shown on top

+
rel.height.bottom
+

The relative height of the bottom plot row

+
pch_ds
+

Symbols to be used for plotting the data.

+
col_ds
+

Colors used for plotting the observed data and the +corresponding model prediction lines for the different datasets.

+
lty_ds
+

Line types to be used for the model predictions.

+
frame
+

Should a frame be drawn around the plots?

+
...
+

Further arguments passed to plot.

+
+
+

Value

The function is called for its side effect.

-

Author

- +
+
+

Author

Johannes Ranke

+
-

Examples

- 
ds <- lapply(experimental_data_for_UBA_2019[6:10],
- function(x) x$data[c("name", "time", "value")])
-names(ds) <- paste0("ds ", 6:10)
-dfop_sfo <- mkinmod(parent = mkinsub("DFOP", "A1"),
-  A1 = mkinsub("SFO"), quiet = TRUE)
-# \dontrun{
-f <- mmkin(list("DFOP-SFO" = dfop_sfo), ds, quiet = TRUE)
-plot(f[, 3:4], standardized = TRUE)
-

-# For this fit we need to increase pnlsMaxiter, and we increase the
-# tolerance in order to speed up the fit for this example evaluation
-f_nlme <- nlme(f, control = list(pnlsMaxIter = 120, tolerance = 1e-3))
-plot(f_nlme)
-

-# }
-
+
+

Examples

+ 
ds <- lapply(experimental_data_for_UBA_2019[6:10],
+ function(x) x$data[c("name", "time", "value")])
+names(ds) <- paste0("ds ", 6:10)
+dfop_sfo <- mkinmod(parent = mkinsub("DFOP", "A1"),
+  A1 = mkinsub("SFO"), quiet = TRUE)
+# \dontrun{
+f <- mmkin(list("DFOP-SFO" = dfop_sfo), ds, quiet = TRUE)
+plot(f[, 3:4], standardized = TRUE)
+
+
+# For this fit we need to increase pnlsMaxiter, and we increase the
+# tolerance in order to speed up the fit for this example evaluation
+# It still takes 20 seconds to run
+f_nlme <- nlme(f, control = list(pnlsMaxIter = 120, tolerance = 1e-3))
+plot(f_nlme)
+
+
+f_saem <- saem(f, transformations = "saemix")
+#> Error in saem(f, transformations = "saemix"): unused argument (transformations = "saemix")
+plot(f_saem)
+#> Error in plot(f_saem): object 'f_saem' not found
+
+f_obs <- mmkin(list("DFOP-SFO" = dfop_sfo), ds, quiet = TRUE, error_model = "obs")
+f_nlmix <- nlmix(f_obs)
+#> Error in nlmix(f_obs): could not find function "nlmix"
+plot(f_nlmix)
+#> Error in plot(f_nlmix): object 'f_nlmix' not found
+
+# We can overlay the two variants if we generate predictions
+pred_nlme <- mkinpredict(dfop_sfo,
+  f_nlme$bparms.optim[-1],
+  c(parent = f_nlme$bparms.optim[[1]], A1 = 0),
+  seq(0, 180, by = 0.2))
+plot(f_saem, pred_over = list(nlme = pred_nlme))
+#> Error in plot(f_saem, pred_over = list(nlme = pred_nlme)): object 'f_saem' not found
+# }
+
+
+
- - - + + diff --git a/docs/reference/plot.mkinfit-1.png b/docs/reference/plot.mkinfit-1.png index 54e5c46f..ea1032fb 100644 Binary files a/docs/reference/plot.mkinfit-1.png and b/docs/reference/plot.mkinfit-1.png differ diff --git a/docs/reference/plot.mkinfit-2.png b/docs/reference/plot.mkinfit-2.png index ff8418a3..cef94cb8 100644 Binary files a/docs/reference/plot.mkinfit-2.png and b/docs/reference/plot.mkinfit-2.png differ diff --git a/docs/reference/plot.mkinfit-3.png b/docs/reference/plot.mkinfit-3.png index 54f2b981..8a9dbd13 100644 Binary files a/docs/reference/plot.mkinfit-3.png and b/docs/reference/plot.mkinfit-3.png differ diff --git a/docs/reference/plot.mkinfit-4.png b/docs/reference/plot.mkinfit-4.png index 7a7bfc6c..a7164caa 100644 Binary files a/docs/reference/plot.mkinfit-4.png and b/docs/reference/plot.mkinfit-4.png differ diff --git a/docs/reference/plot.mkinfit-5.png b/docs/reference/plot.mkinfit-5.png index 6a6741e7..f90b3f54 100644 Binary files a/docs/reference/plot.mkinfit-5.png and b/docs/reference/plot.mkinfit-5.png differ diff --git a/docs/reference/plot.mkinfit-6.png b/docs/reference/plot.mkinfit-6.png index c4d0b9c7..3d0fb25e 100644 Binary files a/docs/reference/plot.mkinfit-6.png and b/docs/reference/plot.mkinfit-6.png differ diff --git a/docs/reference/plot.mkinfit-7.png b/docs/reference/plot.mkinfit-7.png index 802b00ef..3e5d828e 100644 Binary files a/docs/reference/plot.mkinfit-7.png and b/docs/reference/plot.mkinfit-7.png differ diff --git a/docs/reference/plot.mkinfit.html b/docs/reference/plot.mkinfit.html index ff6da93e..0ad6ffc0 100644 --- a/docs/reference/plot.mkinfit.html +++ b/docs/reference/plot.mkinfit.html @@ -1,69 +1,14 @@ - - - - - - - -Plot the observed data and the fitted model of an mkinfit object — plot.mkinfit • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Plot the observed data and the fitted model of an mkinfit object — plot.mkinfit • mkin - - - - - - - - - - - - - + + -
-
- -
- -
+

Plot the observed data and the fitted model of an mkinfit object

- Source: R/plot.mkinfit.R + Source: R/plot.mkinfit.R

Solves the differential equations with the optimised and fixed parameters -from a previous successful call to mkinfit and plots the +from a previous successful call to mkinfit and plots the observed data together with the solution of the fitted model.

- 
# S3 method for mkinfit
-plot(
-  x,
-  fit = x,
-  obs_vars = names(fit$mkinmod$map),
-  xlab = "Time",
-  ylab = "Residue",
-  xlim = range(fit$data$time),
-  ylim = "default",
-  col_obs = 1:length(obs_vars),
-  pch_obs = col_obs,
-  lty_obs = rep(1, length(obs_vars)),
-  add = FALSE,
-  legend = !add,
-  show_residuals = FALSE,
-  show_errplot = FALSE,
-  maxabs = "auto",
-  sep_obs = FALSE,
-  rel.height.middle = 0.9,
-  row_layout = FALSE,
-  lpos = "topright",
-  inset = c(0.05, 0.05),
-  show_errmin = FALSE,
-  errmin_digits = 3,
-  frame = TRUE,
-  ...
-)
-
-plot_sep(
-  fit,
-  show_errmin = TRUE,
-  show_residuals = ifelse(identical(fit$err_mod, "const"), TRUE, "standardized"),
-  ...
-)
-
-plot_res(
-  fit,
-  sep_obs = FALSE,
-  show_errmin = sep_obs,
-  standardized = ifelse(identical(fit$err_mod, "const"), FALSE, TRUE),
-  ...
-)
-
-plot_err(fit, sep_obs = FALSE, show_errmin = sep_obs, ...)
+
+ 
# S3 method for mkinfit
+plot(
+  x,
+  fit = x,
+  obs_vars = names(fit$mkinmod$map),
+  xlab = "Time",
+  ylab = "Residue",
+  xlim = range(fit$data$time),
+  ylim = "default",
+  col_obs = 1:length(obs_vars),
+  pch_obs = col_obs,
+  lty_obs = rep(1, length(obs_vars)),
+  add = FALSE,
+  legend = !add,
+  show_residuals = FALSE,
+  show_errplot = FALSE,
+  maxabs = "auto",
+  sep_obs = FALSE,
+  rel.height.middle = 0.9,
+  row_layout = FALSE,
+  lpos = "topright",
+  inset = c(0.05, 0.05),
+  show_errmin = FALSE,
+  errmin_digits = 3,
+  frame = TRUE,
+  ...
+)
+
+plot_sep(
+  fit,
+  show_errmin = TRUE,
+  show_residuals = ifelse(identical(fit$err_mod, "const"), TRUE, "standardized"),
+  ...
+)
+
+plot_res(
+  fit,
+  sep_obs = FALSE,
+  show_errmin = sep_obs,
+  standardized = ifelse(identical(fit$err_mod, "const"), FALSE, TRUE),
+  ...
+)
+
+plot_err(fit, sep_obs = FALSE, show_errmin = sep_obs, ...)
+
-

Arguments

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
x

Alias for fit introduced for compatibility with the generic S3 -method.

fit

An object of class mkinfit.

obs_vars

A character vector of names of the observed variables for +

+

Arguments

+
x
+

Alias for fit introduced for compatibility with the generic S3 +method.

+
fit
+

An object of class mkinfit.

+
obs_vars
+

A character vector of names of the observed variables for which the data and the model should be plotted. Defauls to all observed -variables in the model.

xlab

Label for the x axis.

ylab

Label for the y axis.

xlim

Plot range in x direction.

ylim

Plot range in y direction.

col_obs

Colors used for plotting the observed data and the -corresponding model prediction lines.

pch_obs

Symbols to be used for plotting the data.

lty_obs

Line types to be used for the model predictions.

add

Should the plot be added to an existing plot?

legend

Should a legend be added to the plot?

show_residuals

Should residuals be shown? If only one plot of the +variables in the model.

+
xlab
+

Label for the x axis.

+
ylab
+

Label for the y axis.

+
xlim
+

Plot range in x direction.

+
ylim
+

Plot range in y direction.

+
col_obs
+

Colors used for plotting the observed data and the +corresponding model prediction lines.

+
pch_obs
+

Symbols to be used for plotting the data.

+
lty_obs
+

Line types to be used for the model predictions.

+
add
+

Should the plot be added to an existing plot?

+
legend
+

Should a legend be added to the plot?

+
show_residuals
+

Should residuals be shown? If only one plot of the fits is shown, the residual plot is in the lower third of the plot. Otherwise, i.e. if "sep_obs" is given, the residual plots will be located to the right of the plots of the fitted curves. If this is set to 'standardized', a plot of the residuals divided by the standard deviation -given by the fitted error model will be shown.

show_errplot

Should squared residuals and the error model be shown? +given by the fitted error model will be shown.

+
show_errplot
+

Should squared residuals and the error model be shown? If only one plot of the fits is shown, this plot is in the lower third of the plot. Otherwise, i.e. if "sep_obs" is given, the residual plots will -be located to the right of the plots of the fitted curves.

maxabs

Maximum absolute value of the residuals. This is used for the -scaling of the y axis and defaults to "auto".

sep_obs

Should the observed variables be shown in separate subplots? +be located to the right of the plots of the fitted curves.

+
maxabs
+

Maximum absolute value of the residuals. This is used for the +scaling of the y axis and defaults to "auto".

+
sep_obs
+

Should the observed variables be shown in separate subplots? If yes, residual plots requested by "show_residuals" will be shown next -to, not below the plot of the fits.

rel.height.middle

The relative height of the middle plot, if more -than two rows of plots are shown.

row_layout

Should we use a row layout where the residual plot or the -error model plot is shown to the right?

lpos

Position(s) of the legend(s). Passed to legend as +to, not below the plot of the fits.

+
rel.height.middle
+

The relative height of the middle plot, if more +than two rows of plots are shown.

+
row_layout
+

Should we use a row layout where the residual plot or the +error model plot is shown to the right?

+
lpos
+

Position(s) of the legend(s). Passed to legend as the first argument. If not length one, this should be of the same length -as the obs_var argument.

inset

Passed to legend if applicable.

show_errmin

Should the FOCUS chi2 error value be shown in the upper -margin of the plot?

errmin_digits

The number of significant digits for rounding the FOCUS -chi2 error percentage.

frame

Should a frame be drawn around the plots?

...

Further arguments passed to plot.

standardized

When calling 'plot_res', should the residuals be -standardized in the residual plot?

- -

Value

- +as the obs_var argument.

+
inset
+

Passed to legend if applicable.

+
show_errmin
+

Should the FOCUS chi2 error value be shown in the upper +margin of the plot?

+
errmin_digits
+

The number of significant digits for rounding the FOCUS +chi2 error percentage.

+
frame
+

Should a frame be drawn around the plots?

+
...
+

Further arguments passed to plot.

+
standardized
+

When calling 'plot_res', should the residuals be +standardized in the residual plot?

+
+
+

Value

The function is called for its side effect.

-

Details

- -

If the current plot device is a tikz device, then +

+
+

Details

+

If the current plot device is a tikz device, then latex is being used for the formatting of the chi2 error level, if show_errmin = TRUE.

-

Author

- +
+
+

Author

Johannes Ranke

+
-

Examples

- 

-# One parent compound, one metabolite, both single first order, path from
-# parent to sink included
-# \dontrun{
-SFO_SFO <- mkinmod(parent = mkinsub("SFO", "m1", full = "Parent"),
-                   m1 = mkinsub("SFO", full = "Metabolite M1" ))
-
#> Temporary DLL for differentials generated and loaded
fit <- mkinfit(SFO_SFO, FOCUS_2006_D, quiet = TRUE)
-
#> Warning: Observations with value of zero were removed from the data
fit <- mkinfit(SFO_SFO, FOCUS_2006_D, quiet = TRUE, error_model = "tc")
-
#> Warning: Observations with value of zero were removed from the data
plot(fit)
-
plot_res(fit)
-
plot_res(fit, standardized = FALSE)
-
plot_err(fit)
-

-# Show the observed variables separately, with residuals
-plot(fit, sep_obs = TRUE, show_residuals = TRUE, lpos = c("topright", "bottomright"),
-     show_errmin = TRUE)
-

-# The same can be obtained with less typing, using the convenience function plot_sep
-plot_sep(fit, lpos = c("topright", "bottomright"))
-

-# Show the observed variables separately, with the error model
-plot(fit, sep_obs = TRUE, show_errplot = TRUE, lpos = c("topright", "bottomright"),
-     show_errmin = TRUE)
-
# }
-
-
+
+

Examples

+ 

+# One parent compound, one metabolite, both single first order, path from
+# parent to sink included
+# \dontrun{
+SFO_SFO <- mkinmod(parent = mkinsub("SFO", "m1", full = "Parent"),
+                   m1 = mkinsub("SFO", full = "Metabolite M1" ))
+#> Temporary DLL for differentials generated and loaded
+fit <- mkinfit(SFO_SFO, FOCUS_2006_D, quiet = TRUE)
+fit <- mkinfit(SFO_SFO, FOCUS_2006_D, quiet = TRUE, error_model = "tc")
+plot(fit)
+
+plot_res(fit)
+
+plot_res(fit, standardized = FALSE)
+
+plot_err(fit)
+
+
+# Show the observed variables separately, with residuals
+plot(fit, sep_obs = TRUE, show_residuals = TRUE, lpos = c("topright", "bottomright"),
+     show_errmin = TRUE)
+
+
+# The same can be obtained with less typing, using the convenience function plot_sep
+plot_sep(fit, lpos = c("topright", "bottomright"))
+
+
+# Show the observed variables separately, with the error model
+plot(fit, sep_obs = TRUE, show_errplot = TRUE, lpos = c("topright", "bottomright"),
+     show_errmin = TRUE)
+
+# }
+
+
+
+
- - - + + diff --git a/docs/reference/plot.mmkin-1.png b/docs/reference/plot.mmkin-1.png index d06d683c..235e33a7 100644 Binary files a/docs/reference/plot.mmkin-1.png and b/docs/reference/plot.mmkin-1.png differ diff --git a/docs/reference/plot.mmkin-2.png b/docs/reference/plot.mmkin-2.png index d3678aca..7af84edf 100644 Binary files a/docs/reference/plot.mmkin-2.png and b/docs/reference/plot.mmkin-2.png differ diff --git a/docs/reference/plot.mmkin-3.png b/docs/reference/plot.mmkin-3.png index f84d5782..56bfac50 100644 Binary files a/docs/reference/plot.mmkin-3.png and b/docs/reference/plot.mmkin-3.png differ diff --git a/docs/reference/plot.mmkin-4.png b/docs/reference/plot.mmkin-4.png index 9919dacb..5da05f40 100644 Binary files a/docs/reference/plot.mmkin-4.png and b/docs/reference/plot.mmkin-4.png differ diff --git a/docs/reference/plot.mmkin-5.png b/docs/reference/plot.mmkin-5.png index 945b863f..3ec224f4 100644 Binary files a/docs/reference/plot.mmkin-5.png and b/docs/reference/plot.mmkin-5.png differ diff --git a/docs/reference/plot.mmkin.html b/docs/reference/plot.mmkin.html index 3348e050..0994c4b6 100644 --- a/docs/reference/plot.mmkin.html +++ b/docs/reference/plot.mmkin.html @@ -1,71 +1,16 @@ - - - - - - - -Plot model fits (observed and fitted) and the residuals for a row or column -of an mmkin object — plot.mmkin • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Plot model fits (observed and fitted) and the residuals for a row or column +of an mmkin object — plot.mmkin • mkin - - - - - - - - - - + + - - - -
-
- -
- -
+

Plot model fits (observed and fitted) and the residuals for a row or column of an mmkin object

- Source: R/plot.mmkin.R + Source: R/plot.mmkin.R
-

When x is a row selected from an mmkin object ([.mmkin), the +

When x is a row selected from an mmkin object ([.mmkin), the same model fitted for at least one dataset is shown. When it is a column, the fit of at least one model to the same dataset is shown.

- 
# S3 method for mmkin
-plot(
-  x,
-  main = "auto",
-  legends = 1,
-  resplot = c("time", "errmod"),
-  ylab = "Residue",
-  standardized = FALSE,
-  show_errmin = TRUE,
-  errmin_var = "All data",
-  errmin_digits = 3,
-  cex = 0.7,
-  rel.height.middle = 0.9,
-  ymax = "auto",
-  ...
-)
- -

Arguments

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
x

An object of class mmkin, with either one row or one -column.

main

The main title placed on the outer margin of the plot.

legends

An index for the fits for which legends should be shown.

resplot

Should the residuals plotted against time, using -mkinresplot, or as squared residuals against predicted -values, with the error model, using mkinerrplot.

ylab

Label for the y axis.

standardized

Should the residuals be standardized? This option -is passed to mkinresplot, it only takes effect if -resplot = "time".

show_errmin

Should the chi2 error level be shown on top of the plots -to the left?

errmin_var

The variable for which the FOCUS chi2 error value should -be shown.

errmin_digits

The number of significant digits for rounding the FOCUS -chi2 error percentage.

cex

Passed to the plot functions and mtext.

rel.height.middle

The relative height of the middle plot, if more -than two rows of plots are shown.

ymax

Maximum y axis value for plot.mkinfit.

...

Further arguments passed to plot.mkinfit and -mkinresplot.

- -

Value

+
+ 
# S3 method for mmkin
+plot(
+  x,
+  main = "auto",
+  legends = 1,
+  resplot = c("time", "errmod"),
+  ylab = "Residue",
+  standardized = FALSE,
+  show_errmin = TRUE,
+  errmin_var = "All data",
+  errmin_digits = 3,
+  cex = 0.7,
+  rel.height.middle = 0.9,
+  ymax = "auto",
+  ...
+)
+
+
+

Arguments

+
x
+

An object of class mmkin, with either one row or one +column.

+
main
+

The main title placed on the outer margin of the plot.

+
legends
+

An index for the fits for which legends should be shown.

+
resplot
+

Should the residuals plotted against time, using +mkinresplot, or as squared residuals against predicted +values, with the error model, using mkinerrplot.

+
ylab
+

Label for the y axis.

+
standardized
+

Should the residuals be standardized? This option +is passed to mkinresplot, it only takes effect if +resplot = "time".

+
show_errmin
+

Should the chi2 error level be shown on top of the plots +to the left?

+
errmin_var
+

The variable for which the FOCUS chi2 error value should +be shown.

+
errmin_digits
+

The number of significant digits for rounding the FOCUS +chi2 error percentage.

+
cex
+

Passed to the plot functions and mtext.

+
rel.height.middle
+

The relative height of the middle plot, if more +than two rows of plots are shown.

+
ymax
+

Maximum y axis value for plot.mkinfit.

+
...
+

Further arguments passed to plot.mkinfit and +mkinresplot.

+
+
+

Value

The function is called for its side effect.

-

Details

- -

If the current plot device is a tikz device, then +

+
+

Details

+

If the current plot device is a tikz device, then latex is being used for the formatting of the chi2 error level.

-

Author

- +
+
+

Author

Johannes Ranke

+
-

Examples

- 

-  # \dontrun{
-  # Only use one core not to offend CRAN checks
-  fits <- mmkin(c("FOMC", "HS"),
-                list("FOCUS B" = FOCUS_2006_B, "FOCUS C" = FOCUS_2006_C), # named list for titles
-                cores = 1, quiet = TRUE, error_model = "tc")
-
#> Warning: Optimisation did not converge:
-#> iteration limit reached without convergence (10)
  plot(fits[, "FOCUS C"])
-
  plot(fits["FOMC", ])
-
  plot(fits["FOMC", ], show_errmin = FALSE)
-

-  # We can also plot a single fit, if we like the way plot.mmkin works, but then the plot
-  # height should be smaller than the plot width (this is not possible for the html pages
-  # generated by pkgdown, as far as I know).
-  plot(fits["FOMC", "FOCUS C"]) # same as plot(fits[1, 2])
-

-  # Show the error models
-  plot(fits["FOMC", ], resplot = "errmod")
-
  # }
-
-
+
+

Examples

+ 

+  # \dontrun{
+  # Only use one core not to offend CRAN checks
+  fits <- mmkin(c("FOMC", "HS"),
+                list("FOCUS B" = FOCUS_2006_B, "FOCUS C" = FOCUS_2006_C), # named list for titles
+                cores = 1, quiet = TRUE, error_model = "tc")
+  plot(fits[, "FOCUS C"])
+
+  plot(fits["FOMC", ])
+
+  plot(fits["FOMC", ], show_errmin = FALSE)
+
+
+  # We can also plot a single fit, if we like the way plot.mmkin works, but then the plot
+  # height should be smaller than the plot width (this is not possible for the html pages
+  # generated by pkgdown, as far as I know).
+  plot(fits["FOMC", "FOCUS C"]) # same as plot(fits[1, 2])
+
+
+  # Show the error models
+  plot(fits["FOMC", ], resplot = "errmod")
+
+  # }
+
+
+
+
-
-
-

Developed by Johannes Ranke.

+
+

Developed by Johannes Ranke.

-

Site built with pkgdown 1.6.1.

+

Site built with pkgdown 2.0.2.

-
-
+
- - + + diff --git a/docs/reference/plot.nafta.html b/docs/reference/plot.nafta.html index 544ee5eb..d3407a24 100644 --- a/docs/reference/plot.nafta.html +++ b/docs/reference/plot.nafta.html @@ -1,68 +1,13 @@ - - - - - - - -Plot the results of the three models used in the NAFTA scheme. — plot.nafta • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Plot the results of the three models used in the NAFTA scheme. — plot.nafta • mkin - - + + - - -
-
- -
- -
+

Plot the results of the three models used in the NAFTA scheme.

- Source: R/nafta.R + Source: R/nafta.R
@@ -149,65 +88,56 @@ function (SFO, then IORE, then DFOP)." /> function (SFO, then IORE, then DFOP).

- 
# S3 method for nafta
-plot(x, legend = FALSE, main = "auto", ...)
- -

Arguments

- - - - - - - - - - - - - - - - - - -
x

An object of class nafta.

legend

Should a legend be added?

main

Possibility to override the main title of the plot.

...

Further arguments passed to plot.mmkin.

- -

Value

+
+ 
# S3 method for nafta
+plot(x, legend = FALSE, main = "auto", ...)
+
+
+

Arguments

+
x
+

An object of class nafta.

+
legend
+

Should a legend be added?

+
main
+

Possibility to override the main title of the plot.

+
...
+

Further arguments passed to plot.mmkin.

+
+
+

Value

The function is called for its side effect.

-

Details

- -

Calls plot.mmkin.

-

Author

- +
+
+

Details

+

Calls plot.mmkin.

+
+
+

Author

Johannes Ranke

+
+
- - - + + diff --git a/docs/reference/reexports.html b/docs/reference/reexports.html index e195d8bf..22180913 100644 --- a/docs/reference/reexports.html +++ b/docs/reference/reexports.html @@ -1,74 +1,27 @@ - - - - - - - -Objects exported from other packages — reexports • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Objects exported from other packages — reexports • mkin + nlme +intervals, nlme + nlmixr +nlmixr - - - - + + - - - - -
-
- -
- -
+

Objects exported from other packages

- Source: R/lrtest.mkinfit.R, R/nlme.mmkin.R + Source: R/intervals.R, R/lrtest.mkinfit.R, R/nlme.mmkin.R, and 1 more

These objects are imported from other packages. Follow the links below to see their documentation.

-
-
lmtest

lrtest

+
lmtest
+

lrtest

-
nlme

nlme

-
-
+
nlme
+

intervals, nlme

+ + +
nlmixr
+

nlmixr

+
+
+
- - - + + diff --git a/docs/reference/residuals.mkinfit.html b/docs/reference/residuals.mkinfit.html index c5c2dcaf..19e077c5 100644 --- a/docs/reference/residuals.mkinfit.html +++ b/docs/reference/residuals.mkinfit.html @@ -1,67 +1,12 @@ - - - - - - - -Extract residuals from an mkinfit model — residuals.mkinfit • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Extract residuals from an mkinfit model — residuals.mkinfit • mkin - - + + - - -
-
- -
- -
+

Extract residuals from an mkinfit model

- Source: R/residuals.mkinfit.R + Source: R/residuals.mkinfit.R
@@ -147,60 +86,54 @@

Extract residuals from an mkinfit model

- 
# S3 method for mkinfit
-residuals(object, standardized = FALSE, ...)
- -

Arguments

- - - - - - - - - - - - - - -
object

A mkinfit object

standardized

Should the residuals be standardized by dividing by the -standard deviation obtained from the fitted error model?

...

Not used

- - -

Examples

- 
f <- mkinfit("DFOP", FOCUS_2006_C, quiet = TRUE)
-residuals(f)
-
#> [1]  0.09726374 -0.13912142 -0.15351210  0.73388322 -0.08657004 -0.93204702
-#> [7] -0.03269080  1.45347823 -0.88423697
residuals(f, standardized = TRUE)
-
#> [1]  0.13969917 -0.19981904 -0.22048826  1.05407091 -0.12433989 -1.33869208
-#> [7] -0.04695355  2.08761977 -1.27002287
+
+ 
# S3 method for mkinfit
+residuals(object, standardized = FALSE, ...)
+
+ +
+

Arguments

+
object
+

A mkinfit object

+
standardized
+

Should the residuals be standardized by dividing by the +standard deviation obtained from the fitted error model?

+
...
+

Not used

+
+ +
+

Examples

+ 
f <- mkinfit("DFOP", FOCUS_2006_C, quiet = TRUE)
+residuals(f)
+#> [1]  0.09726374 -0.13912142 -0.15351210  0.73388322 -0.08657004 -0.93204702
+#> [7] -0.03269080  1.45347823 -0.88423697
+residuals(f, standardized = TRUE)
+#> [1]  0.13969917 -0.19981904 -0.22048826  1.05407091 -0.12433989 -1.33869208
+#> [7] -0.04695355  2.08761977 -1.27002287
+
+
+
- - - + + diff --git a/docs/reference/saem.html b/docs/reference/saem.html new file mode 100644 index 00000000..8b86b5a2 --- /dev/null +++ b/docs/reference/saem.html @@ -0,0 +1,327 @@ + +Fit nonlinear mixed models with SAEM — saem • mkin + + +
+
+ + + +
+
+
+

Fit nonlinear mixed models with SAEM

+ Source: R/saem.R + +
+ +
+

This function uses saemix::saemix() as a backend for fitting nonlinear mixed +effects models created from mmkin row objects using the Stochastic Approximation +Expectation Maximisation algorithm (SAEM).

+
+ +
+ 
saem(object, ...)
+
+# S3 method for mmkin
+saem(
+  object,
+  transformations = c("mkin", "saemix"),
+  degparms_start = numeric(),
+  test_log_parms = TRUE,
+  conf.level = 0.6,
+  solution_type = "auto",
+  nbiter.saemix = c(300, 100),
+  control = list(displayProgress = FALSE, print = FALSE, nbiter.saemix = nbiter.saemix,
+    save = FALSE, save.graphs = FALSE),
+  fail_with_errors = TRUE,
+  verbose = FALSE,
+  quiet = FALSE,
+  ...
+)
+
+# S3 method for saem.mmkin
+print(x, digits = max(3, getOption("digits") - 3), ...)
+
+saemix_model(
+  object,
+  solution_type = "auto",
+  transformations = c("mkin", "saemix"),
+  degparms_start = numeric(),
+  test_log_parms = FALSE,
+  conf.level = 0.6,
+  verbose = FALSE,
+  ...
+)
+
+saemix_data(object, verbose = FALSE, ...)
+
+ +
+

Arguments

+
object
+

An mmkin row object containing several fits of the same +mkinmod model to different datasets

+
...
+

Further parameters passed to saemix::saemixModel.

+
transformations
+

Per default, all parameter transformations are done +in mkin. If this argument is set to 'saemix', parameter transformations +are done in 'saemix' for the supported cases. Currently this is only +supported in cases where the initial concentration of the parent is not fixed, +SFO or DFOP is used for the parent and there is either no metabolite or one.

+
degparms_start
+

Parameter values given as a named numeric vector will +be used to override the starting values obtained from the 'mmkin' object.

+
test_log_parms
+

If TRUE, an attempt is made to use more robust starting +values for population parameters fitted as log parameters in mkin (like +rate constants) by only considering rate constants that pass the t-test +when calculating mean degradation parameters using mean_degparms.

+
conf.level
+

Possibility to adjust the required confidence level +for parameter that are tested if requested by 'test_log_parms'.

+
solution_type
+

Possibility to specify the solution type in case the +automatic choice is not desired

+
nbiter.saemix
+

Convenience option to increase the number of +iterations

+
control
+

Passed to saemix::saemix.

+
fail_with_errors
+

Should a failure to compute standard errors +from the inverse of the Fisher Information Matrix be a failure?

+
verbose
+

Should we print information about created objects of +type saemix::SaemixModel and saemix::SaemixData?

+
quiet
+

Should we suppress the messages saemix prints at the beginning +and the end of the optimisation process?

+
x
+

An saem.mmkin object to print

+
digits
+

Number of digits to use for printing

+
+
+

Value

+

An S3 object of class 'saem.mmkin', containing the fitted +saemix::SaemixObject as a list component named 'so'. The +object also inherits from 'mixed.mmkin'. +An saemix::SaemixModel object. +An saemix::SaemixData object.

+
+
+

Details

+

An mmkin row object is essentially a list of mkinfit objects that have been +obtained by fitting the same model to a list of datasets using mkinfit.

+

Starting values for the fixed effects (population mean parameters, argument +psi0 of saemix::saemixModel() are the mean values of the parameters found +using mmkin.

+
+ + +
+

Examples

+ 
# \dontrun{
+ds <- lapply(experimental_data_for_UBA_2019[6:10],
+ function(x) subset(x$data[c("name", "time", "value")]))
+names(ds) <- paste("Dataset", 6:10)
+f_mmkin_parent_p0_fixed <- mmkin("FOMC", ds,
+  state.ini = c(parent = 100), fixed_initials = "parent", quiet = TRUE)
+f_saem_p0_fixed <- saem(f_mmkin_parent_p0_fixed)
+#>  
+#> Error in rxModelVars_(obj): Not compatible with STRSXP: [type=NULL].
+
+f_mmkin_parent <- mmkin(c("SFO", "FOMC", "DFOP"), ds, quiet = TRUE)
+f_saem_sfo <- saem(f_mmkin_parent["SFO", ])
+#>  
+#> Error in rxModelVars_(obj): Not compatible with STRSXP: [type=NULL].
+f_saem_fomc <- saem(f_mmkin_parent["FOMC", ])
+#>  
+#> Error in rxModelVars_(obj): Not compatible with STRSXP: [type=NULL].
+f_saem_dfop <- saem(f_mmkin_parent["DFOP", ])
+#>  
+#> Error in rxModelVars_(obj): Not compatible with STRSXP: [type=NULL].
+
+# The returned saem.mmkin object contains an SaemixObject, therefore we can use
+# functions from saemix
+library(saemix)
+#> Loading required package: npde
+#> 
+#> Attaching package: ‘npde’
+#> The following object is masked from ‘package:nlmixr’:
+#> 
+#>     warfarin
+#> Package saemix, version 3.0
+#>   please direct bugs, questions and feedback to emmanuelle.comets@inserm.fr
+#> 
+#> Attaching package: ‘saemix’
+#> The following objects are masked from ‘package:npde’:
+#> 
+#>     kurtosis, skewness
+#> The following object is masked from ‘package:RxODE’:
+#> 
+#>     phi
+compare.saemix(f_saem_sfo$so, f_saem_fomc$so, f_saem_dfop$so)
+#> Error in compare.saemix(f_saem_sfo$so, f_saem_fomc$so, f_saem_dfop$so): object 'f_saem_sfo' not found
+plot(f_saem_fomc$so, plot.type = "convergence")
+#> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'plot': object 'f_saem_fomc' not found
+plot(f_saem_fomc$so, plot.type = "individual.fit")
+#> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'plot': object 'f_saem_fomc' not found
+plot(f_saem_fomc$so, plot.type = "npde")
+#> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'plot': object 'f_saem_fomc' not found
+plot(f_saem_fomc$so, plot.type = "vpc")
+#> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'plot': object 'f_saem_fomc' not found
+
+f_mmkin_parent_tc <- update(f_mmkin_parent, error_model = "tc")
+f_saem_fomc_tc <- saem(f_mmkin_parent_tc["FOMC", ])
+#>  
+#> Error in rxModelVars_(obj): Not compatible with STRSXP: [type=NULL].
+compare.saemix(f_saem_fomc$so, f_saem_fomc_tc$so)
+#> Error in compare.saemix(f_saem_fomc$so, f_saem_fomc_tc$so): object 'f_saem_fomc' not found
+
+sfo_sfo <- mkinmod(parent = mkinsub("SFO", "A1"),
+  A1 = mkinsub("SFO"))
+#> Temporary DLL for differentials generated and loaded
+fomc_sfo <- mkinmod(parent = mkinsub("FOMC", "A1"),
+  A1 = mkinsub("SFO"))
+#> Temporary DLL for differentials generated and loaded
+dfop_sfo <- mkinmod(parent = mkinsub("DFOP", "A1"),
+  A1 = mkinsub("SFO"))
+#> Temporary DLL for differentials generated and loaded
+# The following fit uses analytical solutions for SFO-SFO and DFOP-SFO,
+# and compiled ODEs for FOMC that are much slower
+f_mmkin <- mmkin(list(
+    "SFO-SFO" = sfo_sfo, "FOMC-SFO" = fomc_sfo, "DFOP-SFO" = dfop_sfo),
+  ds, quiet = TRUE)
+# saem fits of SFO-SFO and DFOP-SFO to these data take about five seconds
+# each on this system, as we use analytical solutions written for saemix.
+# When using the analytical solutions written for mkin this took around
+# four minutes
+f_saem_sfo_sfo <- saem(f_mmkin["SFO-SFO", ])
+#>  
+#> Error in rxModelVars_(obj): Not compatible with STRSXP: [type=NULL].
+f_saem_dfop_sfo <- saem(f_mmkin["DFOP-SFO", ])
+#>  
+#> Error in rxModelVars_(obj): Not compatible with STRSXP: [type=NULL].
+# We can use print, plot and summary methods to check the results
+print(f_saem_dfop_sfo)
+#> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'print': object 'f_saem_dfop_sfo' not found
+plot(f_saem_dfop_sfo)
+#> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'plot': object 'f_saem_dfop_sfo' not found
+summary(f_saem_dfop_sfo, data = TRUE)
+#> Error in h(simpleError(msg, call)): error in evaluating the argument 'object' in selecting a method for function 'summary': object 'f_saem_dfop_sfo' not found
+
+# The following takes about 6 minutes
+#f_saem_dfop_sfo_deSolve <- saem(f_mmkin["DFOP-SFO", ], solution_type = "deSolve",
+#  control = list(nbiter.saemix = c(200, 80), nbdisplay = 10))
+
+#saemix::compare.saemix(list(
+#  f_saem_dfop_sfo$so,
+#  f_saem_dfop_sfo_deSolve$so))
+
+# If the model supports it, we can also use eigenvalue based solutions, which
+# take a similar amount of time
+#f_saem_sfo_sfo_eigen <- saem(f_mmkin["SFO-SFO", ], solution_type = "eigen",
+#  control = list(nbiter.saemix = c(200, 80), nbdisplay = 10))
+# }
+
+
+
+ +
+ + +
+

Developed by Johannes Ranke.

+
+ +
+

Site built with pkgdown 2.0.2.

+
+ +
+ + + + + + + + diff --git a/docs/reference/schaefer07_complex_case-1.png b/docs/reference/schaefer07_complex_case-1.png index 96aab2dc..eee9e0cc 100644 Binary files a/docs/reference/schaefer07_complex_case-1.png and b/docs/reference/schaefer07_complex_case-1.png differ diff --git a/docs/reference/schaefer07_complex_case.html b/docs/reference/schaefer07_complex_case.html index 979e4c29..8c39ca1b 100644 --- a/docs/reference/schaefer07_complex_case.html +++ b/docs/reference/schaefer07_complex_case.html @@ -1,69 +1,14 @@ - - - - - - - -Metabolism data set used for checking the software quality of KinGUI — schaefer07_complex_case • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Metabolism data set used for checking the software quality of KinGUI — schaefer07_complex_case • mkin - - - - - - - - - - - - - + + -
-
- -
- -
+

Metabolism data set used for checking the software quality of KinGUI

@@ -151,93 +90,109 @@ The results from the fitting are also included.

- 
schaefer07_complex_case
+
+ 
schaefer07_complex_case
+
+ +
+

Format

+

The data set is a data frame with 8 observations on the following 6 variables.

time
+

a numeric vector

+ +
parent
+

a numeric vector

+ +
A1
+

a numeric vector

+
B1
+

a numeric vector

-

Format

+
C1
+

a numeric vector

+ +
A2
+

a numeric vector

-

The data set is a data frame with 8 observations on the following 6 variables.

-
time

a numeric vector

-
parent

a numeric vector

-
A1

a numeric vector

-
B1

a numeric vector

-
C1

a numeric vector

-
A2

a numeric vector

The results are a data frame with 14 results for different parameter values

-

References

- +
+
+

References

Schäfer D, Mikolasch B, Rainbird P and Harvey B (2007). KinGUI: a new kinetic software tool for evaluations according to FOCUS degradation kinetics. In: Del Re AAM, Capri E, Fragoulis G and Trevisan M (Eds.). Proceedings of the XIII Symposium Pesticide Chemistry, Piacenza, 2007, p. 916-923.

+
-

Examples

- 
data <- mkin_wide_to_long(schaefer07_complex_case, time = "time")
-model <- mkinmod(
-  parent = list(type = "SFO", to = c("A1", "B1", "C1"), sink = FALSE),
-  A1 = list(type = "SFO", to = "A2"),
-  B1 = list(type = "SFO"),
-  C1 = list(type = "SFO"),
-  A2 = list(type = "SFO"), use_of_ff = "max")
-
#> Temporary DLL for differentials generated and loaded
  # \dontrun{
-    fit <- mkinfit(model, data, quiet = TRUE)
-    plot(fit)
-
    endpoints(fit)
-
#> $ff
-#>   parent_A1   parent_B1   parent_C1 parent_sink       A1_A2     A1_sink 
-#>   0.3809620   0.1954667   0.4235713   0.0000000   0.4479619   0.5520381 
-#> 
-#> $distimes
-#>            DT50      DT90
-#> parent 13.95078  46.34350
-#> A1     49.75342 165.27728
-#> B1     37.26908 123.80520
-#> C1     11.23131  37.30961
-#> A2     28.50624  94.69567
-#> 
  # }
- # Compare with the results obtained in the original publication
- print(schaefer07_complex_results)
-
#>         compound          parameter  KinGUI ModelMaker deviation
-#> 1         parent   degradation rate  0.0496     0.0506       2.0
-#> 2         parent               DT50 13.9900    13.6900       2.2
-#> 3  metabolite A1 formation fraction  0.3803     0.3696       2.9
-#> 4  metabolite A1   degradation rate  0.0139     0.0136       2.2
-#> 5  metabolite A1               DT50 49.9600    50.8900       1.8
-#> 6  metabolite B1 formation fraction  0.1866     0.1818       2.6
-#> 7  metabolite B1   degradation rate  0.0175     0.0172       1.7
-#> 8  metabolite B1               DT50 39.6100    40.2400       1.6
-#> 9  metabolite C1 formation fraction  0.4331     0.4486       3.5
-#> 10 metabolite C1   degradation rate  0.0638     0.0700       8.9
-#> 11 metabolite C1               DT50 10.8700     9.9000       9.8
-#> 12 metabolite A2 formation fraction  0.4529     0.4559       0.7
-#> 13 metabolite A2   degradation rate  0.0245     0.0244       0.4
-#> 14 metabolite A2               DT50 28.2400    28.4500       0.7
+
+

Examples

+ 
data <- mkin_wide_to_long(schaefer07_complex_case, time = "time")
+model <- mkinmod(
+  parent = list(type = "SFO", to = c("A1", "B1", "C1"), sink = FALSE),
+  A1 = list(type = "SFO", to = "A2"),
+  B1 = list(type = "SFO"),
+  C1 = list(type = "SFO"),
+  A2 = list(type = "SFO"), use_of_ff = "max")
+#> Temporary DLL for differentials generated and loaded
+  # \dontrun{
+    fit <- mkinfit(model, data, quiet = TRUE)
+    plot(fit)
+
+    endpoints(fit)
+#> $ff
+#>   parent_A1   parent_B1   parent_C1 parent_sink       A1_A2     A1_sink 
+#>   0.3809620   0.1954667   0.4235713   0.0000000   0.4479619   0.5520381 
+#> 
+#> $distimes
+#>            DT50      DT90
+#> parent 13.95078  46.34350
+#> A1     49.75342 165.27728
+#> B1     37.26908 123.80520
+#> C1     11.23131  37.30961
+#> A2     28.50624  94.69567
+#> 
+  # }
+ # Compare with the results obtained in the original publication
+ print(schaefer07_complex_results)
+#>         compound          parameter  KinGUI ModelMaker deviation
+#> 1         parent   degradation rate  0.0496     0.0506       2.0
+#> 2         parent               DT50 13.9900    13.6900       2.2
+#> 3  metabolite A1 formation fraction  0.3803     0.3696       2.9
+#> 4  metabolite A1   degradation rate  0.0139     0.0136       2.2
+#> 5  metabolite A1               DT50 49.9600    50.8900       1.8
+#> 6  metabolite B1 formation fraction  0.1866     0.1818       2.6
+#> 7  metabolite B1   degradation rate  0.0175     0.0172       1.7
+#> 8  metabolite B1               DT50 39.6100    40.2400       1.6
+#> 9  metabolite C1 formation fraction  0.4331     0.4486       3.5
+#> 10 metabolite C1   degradation rate  0.0638     0.0700       8.9
+#> 11 metabolite C1               DT50 10.8700     9.9000       9.8
+#> 12 metabolite A2 formation fraction  0.4529     0.4559       0.7
+#> 13 metabolite A2   degradation rate  0.0245     0.0244       0.4
+#> 14 metabolite A2               DT50 28.2400    28.4500       0.7
+
+
+
-
-
-

Developed by Johannes Ranke.

+
+

Developed by Johannes Ranke.

-

Site built with pkgdown 1.6.1.

+

Site built with pkgdown 2.0.2.

-
-
+
- - + + diff --git a/docs/reference/sigma_twocomp-1.png b/docs/reference/sigma_twocomp-1.png index fddb86a7..0353b72c 100644 Binary files a/docs/reference/sigma_twocomp-1.png and b/docs/reference/sigma_twocomp-1.png differ diff --git a/docs/reference/sigma_twocomp.html b/docs/reference/sigma_twocomp.html index 1b4e45e4..63e23326 100644 --- a/docs/reference/sigma_twocomp.html +++ b/docs/reference/sigma_twocomp.html @@ -1,68 +1,13 @@ - - - - - - - -Two-component error model — sigma_twocomp • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Two-component error model — sigma_twocomp • mkin + + - - - - -
-
- -
- -
+

Two-component error model

- Source: R/sigma_twocomp.R + Source: R/sigma_twocomp.R
@@ -149,40 +88,36 @@ dependence of the measured value \(y\):" /> dependence of the measured value \(y\):

- 
sigma_twocomp(y, sigma_low, rsd_high)
- -

Arguments

- - - - - - - - - - - - - - -
y

The magnitude of the observed value

sigma_low

The asymptotic minimum of the standard deviation for low -observed values

rsd_high

The coefficient describing the increase of the standard -deviation with the magnitude of the observed value

- -

Value

+
+ 
sigma_twocomp(y, sigma_low, rsd_high)
+
+
+

Arguments

+
y
+

The magnitude of the observed value

+
sigma_low
+

The asymptotic minimum of the standard deviation for low +observed values

+
rsd_high
+

The coefficient describing the increase of the standard +deviation with the magnitude of the observed value

+
+
+

Value

The standard deviation of the response variable.

-

Details

- +
+
+

Details

$$\sigma = \sqrt{ \sigma_{low}^2 + y^2 * {rsd}_{high}^2}$$ sigma = sqrt(sigma_low^2 + y^2 * rsd_high^2)

This is the error model used for example by Werner et al. (1978). The model proposed by Rocke and Lorenzato (1995) can be written in this form as well, but assumes approximate lognormal distribution of errors for high values of y.

-

References

- +
+
+

References

Werner, Mario, Brooks, Samuel H., and Knott, Lancaster B. (1978) Additive, Multiplicative, and Mixed Analytical Errors. Clinical Chemistry 24(11), 1895-1898.

@@ -190,61 +125,62 @@ Additive, Multiplicative, and Mixed Analytical Errors. Clinical Chemistry measurement error in analytical chemistry. Technometrics 37(2), 176-184.

Ranke J and Meinecke S (2019) Error Models for the Kinetic Evaluation of Chemical Degradation Data. Environments 6(12) 124 -doi: 10.3390/environments6120124 +doi: 10.3390/environments6120124 .

+
-

Examples

- 
times <- c(0, 1, 3, 7, 14, 28, 60, 90, 120)
-d_pred <- data.frame(time = times, parent = 100 * exp(- 0.03 * times))
-set.seed(123456)
-d_syn <- add_err(d_pred, function(y) sigma_twocomp(y, 1, 0.07),
-  reps = 2, n = 1)[[1]]
-f_nls <- nls(value ~ SSasymp(time, 0, parent_0, lrc), data = d_syn,
- start = list(parent_0 = 100, lrc = -3))
-library(nlme)
-f_gnls <- gnls(value ~ SSasymp(time, 0, parent_0, lrc),
-  data = d_syn, na.action = na.omit,
-  start = list(parent_0 = 100, lrc = -3))
-if (length(findFunction("varConstProp")) > 0) {
-  f_gnls_tc <- update(f_gnls, weights = varConstProp())
-  f_gnls_tc_sf <- update(f_gnls_tc, control = list(sigma = 1))
-}
-f_mkin <- mkinfit("SFO", d_syn, error_model = "const", quiet = TRUE)
-f_mkin_tc <- mkinfit("SFO", d_syn, error_model = "tc", quiet = TRUE)
-plot_res(f_mkin_tc, standardized = TRUE)
-
AIC(f_nls, f_gnls, f_gnls_tc, f_gnls_tc_sf, f_mkin, f_mkin_tc)
-
#>              df      AIC
-#> f_nls         3 114.4817
-#> f_gnls        3 114.4817
-#> f_gnls_tc     5 103.6447
-#> f_gnls_tc_sf  4 101.6447
-#> f_mkin        3 114.4817
-#> f_mkin_tc     4 101.6446
+
+

Examples

+ 
times <- c(0, 1, 3, 7, 14, 28, 60, 90, 120)
+d_pred <- data.frame(time = times, parent = 100 * exp(- 0.03 * times))
+set.seed(123456)
+d_syn <- add_err(d_pred, function(y) sigma_twocomp(y, 1, 0.07),
+  reps = 2, n = 1)[[1]]
+f_nls <- nls(value ~ SSasymp(time, 0, parent_0, lrc), data = d_syn,
+ start = list(parent_0 = 100, lrc = -3))
+library(nlme)
+f_gnls <- gnls(value ~ SSasymp(time, 0, parent_0, lrc),
+  data = d_syn, na.action = na.omit,
+  start = list(parent_0 = 100, lrc = -3))
+if (length(findFunction("varConstProp")) > 0) {
+  f_gnls_tc <- update(f_gnls, weights = varConstProp())
+  f_gnls_tc_sf <- update(f_gnls_tc, control = list(sigma = 1))
+}
+f_mkin <- mkinfit("SFO", d_syn, error_model = "const", quiet = TRUE)
+f_mkin_tc <- mkinfit("SFO", d_syn, error_model = "tc", quiet = TRUE)
+plot_res(f_mkin_tc, standardized = TRUE)
+
+AIC(f_nls, f_gnls, f_gnls_tc, f_gnls_tc_sf, f_mkin, f_mkin_tc)
+#>              df      AIC
+#> f_nls         3 114.4817
+#> f_gnls        3 114.4817
+#> f_gnls_tc     5 103.6447
+#> f_gnls_tc_sf  4 101.6447
+#> f_mkin        3 114.4817
+#> f_mkin_tc     4 101.6446
+
+
+
- - - + + diff --git a/docs/reference/summary.mkinfit.html b/docs/reference/summary.mkinfit.html index 67a50216..b4d25f4f 100644 --- a/docs/reference/summary.mkinfit.html +++ b/docs/reference/summary.mkinfit.html @@ -1,71 +1,16 @@ - - - - - - - -Summary method for class "mkinfit" — summary.mkinfit • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Summary method for class "mkinfit" — summary.mkinfit • mkin - - - - - - - - - - + + - - - -
-
- -
- -
+

Summary method for class "mkinfit"

- Source: R/summary.mkinfit.R + Source: R/summary.mkinfit.R
@@ -155,187 +94,188 @@ and optionally the data, consisting of observed, predicted and residual values.

- 
# S3 method for mkinfit
-summary(object, data = TRUE, distimes = TRUE, alpha = 0.05, ...)
-
-# S3 method for summary.mkinfit
-print(x, digits = max(3, getOption("digits") - 3), ...)
- -

Arguments

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
object

an object of class mkinfit.

data

logical, indicating whether the data should be included in the -summary.

distimes

logical, indicating whether DT50 and DT90 values should be -included.

alpha

error level for confidence interval estimation from t -distribution

...

optional arguments passed to methods like print.

x

an object of class summary.mkinfit.

digits

Number of digits to use for printing

+
+ 
# S3 method for mkinfit
+summary(object, data = TRUE, distimes = TRUE, alpha = 0.05, ...)
 
-    
Value

+# S3 method for summary.mkinfit
+print(x, digits = max(3, getOption("digits") - 3), ...)
+
+
+

Arguments

+
object
+

an object of class mkinfit.

+
data
+

logical, indicating whether the data should be included in the +summary.

+
distimes
+

logical, indicating whether DT50 and DT90 values should be +included.

+
alpha
+

error level for confidence interval estimation from t +distribution

+
...
+

optional arguments passed to methods like print.

+
x
+

an object of class summary.mkinfit.

+
digits
+

Number of digits to use for printing

+
+
+

Value

The summary function returns a list with components, among others

-
version, Rversion

The mkin and R versions used

-
date.fit, date.summary

The dates where the fit and the summary were +

version, Rversion
+

The mkin and R versions used

+
date.fit, date.summary
+

The dates where the fit and the summary were produced

-
diffs

The differential equations used in the model

-
use_of_ff

Was maximum or minimum use made of formation fractions

-
bpar

Optimised and backtransformed +

diffs
+

The differential equations used in the model

+
use_of_ff
+

Was maximum or minimum use made of formation fractions

+
bpar
+

Optimised and backtransformed parameters

-
data

The data (see Description above).

-
start

The starting values and bounds, if applicable, for optimised +

data
+

The data (see Description above).

+
start
+

The starting values and bounds, if applicable, for optimised parameters.

-
fixed

The values of fixed parameters.

-
errmin

The chi2 error levels for +

fixed
+

The values of fixed parameters.

+
errmin
+

The chi2 error levels for each observed variable.

-
bparms.ode

All backtransformed ODE +

bparms.ode
+

All backtransformed ODE parameters, for use as starting parameters for related models.

-
errparms

Error model parameters.

-
ff

The estimated formation fractions derived from the fitted +

errparms
+

Error model parameters.

+
ff
+

The estimated formation fractions derived from the fitted model.

-
distimes

The DT50 and DT90 values for each observed variable.

-
SFORB

If applicable, eigenvalues of SFORB components of the model.

-The print method is called for its side effect, i.e. printing the summary. - -

References

- -

FOCUS (2006) “Guidance Document on Estimating Persistence +

distimes
+

The DT50 and DT90 values for each observed variable.

+
SFORB
+

If applicable, eigenvalues of SFORB components of the model.

+

The print method is called for its side effect, i.e. printing the summary.

+
+
+

References

+

FOCUS (2006) “Guidance Document on Estimating Persistence and Degradation Kinetics from Environmental Fate Studies on Pesticides in -EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, +EU Registration” Report of the FOCUS Work Group on Degradation Kinetics, EC Document Reference Sanco/10058/2005 version 2.0, 434 pp, -http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

-

Author

- +http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics

+
+
+

Author

Johannes Ranke

+
-

Examples

- 

-  summary(mkinfit(mkinmod(parent = mkinsub("SFO")), FOCUS_2006_A, quiet = TRUE))
-
#> mkin version used for fitting:    1.0.3 
-#> R version used for fitting:       4.0.3 
-#> Date of fit:     Mon Feb 15 13:46:11 2021 
-#> Date of summary: Mon Feb 15 13:46:11 2021 
-#> 
-#> Equations:
-#> d_parent/dt = - k_parent * parent
-#> 
-#> Model predictions using solution type analytical 
-#> 
-#> Fitted using 131 model solutions performed in 0.029 s
-#> 
-#> Error model: Constant variance 
-#> 
-#> Error model algorithm: OLS 
-#> 
-#> Starting values for parameters to be optimised:
-#>           value   type
-#> parent_0 101.24  state
-#> k_parent   0.10 deparm
-#> 
-#> Starting values for the transformed parameters actually optimised:
-#>                   value lower upper
-#> parent_0     101.240000  -Inf   Inf
-#> log_k_parent  -2.302585  -Inf   Inf
-#> 
-#> Fixed parameter values:
-#> None
-#> 
-#> Results:
-#> 
-#>        AIC     BIC    logLik
-#>   55.28197 55.5203 -24.64099
-#> 
-#> Optimised, transformed parameters with symmetric confidence intervals:
-#>              Estimate Std. Error  Lower   Upper
-#> parent_0      109.200    3.70400 99.630 118.700
-#> log_k_parent   -3.291    0.09176 -3.527  -3.055
-#> sigma           5.266    1.31600  1.882   8.649
-#> 
-#> Parameter correlation:
-#>               parent_0 log_k_parent     sigma
-#> parent_0     1.000e+00    5.428e-01 1.642e-07
-#> log_k_parent 5.428e-01    1.000e+00 2.507e-07
-#> sigma        1.642e-07    2.507e-07 1.000e+00
-#> 
-#> Backtransformed parameters:
-#> Confidence intervals for internally transformed parameters are asymmetric.
-#> t-test (unrealistically) based on the assumption of normal distribution
-#> for estimators of untransformed parameters.
-#>           Estimate t value    Pr(>t)   Lower     Upper
-#> parent_0 109.20000   29.47 4.218e-07 99.6300 118.70000
-#> k_parent   0.03722   10.90 5.650e-05  0.0294   0.04712
-#> sigma      5.26600    4.00 5.162e-03  1.8820   8.64900
-#> 
-#> FOCUS Chi2 error levels in percent:
-#>          err.min n.optim df
-#> All data   8.385       2  6
-#> parent     8.385       2  6
-#> 
-#> Estimated disappearance times:
-#>         DT50  DT90
-#> parent 18.62 61.87
-#> 
-#> Data:
-#>  time variable observed predicted residual
-#>     0   parent   101.24   109.153  -7.9132
-#>     3   parent    99.27    97.622   1.6484
-#>     7   parent    90.11    84.119   5.9913
-#>    14   parent    72.19    64.826   7.3641
-#>    30   parent    29.71    35.738  -6.0283
-#>    62   parent     5.98    10.862  -4.8818
-#>    90   parent     1.54     3.831  -2.2911
-#>   118   parent     0.39     1.351  -0.9613

-
+
+

Examples

+ 

+  summary(mkinfit(mkinmod(parent = mkinsub("SFO")), FOCUS_2006_A, quiet = TRUE))
+#> mkin version used for fitting:    1.1.0 
+#> R version used for fitting:       4.1.2 
+#> Date of fit:     Wed Mar  2 13:42:12 2022 
+#> Date of summary: Wed Mar  2 13:42:12 2022 
+#> 
+#> Equations:
+#> d_parent/dt = - k_parent * parent
+#> 
+#> Model predictions using solution type analytical 
+#> 
+#> Fitted using 131 model solutions performed in 0.029 s
+#> 
+#> Error model: Constant variance 
+#> 
+#> Error model algorithm: OLS 
+#> 
+#> Starting values for parameters to be optimised:
+#>           value   type
+#> parent_0 101.24  state
+#> k_parent   0.10 deparm
+#> 
+#> Starting values for the transformed parameters actually optimised:
+#>                   value lower upper
+#> parent_0     101.240000  -Inf   Inf
+#> log_k_parent  -2.302585  -Inf   Inf
+#> 
+#> Fixed parameter values:
+#> None
+#> 
+#> Results:
+#> 
+#>        AIC     BIC    logLik
+#>   55.28197 55.5203 -24.64099
+#> 
+#> Optimised, transformed parameters with symmetric confidence intervals:
+#>              Estimate Std. Error  Lower   Upper
+#> parent_0      109.200    3.70400 99.630 118.700
+#> log_k_parent   -3.291    0.09176 -3.527  -3.055
+#> sigma           5.266    1.31600  1.882   8.649
+#> 
+#> Parameter correlation:
+#>               parent_0 log_k_parent     sigma
+#> parent_0     1.000e+00    5.428e-01 1.642e-07
+#> log_k_parent 5.428e-01    1.000e+00 2.507e-07
+#> sigma        1.642e-07    2.507e-07 1.000e+00
+#> 
+#> Backtransformed parameters:
+#> Confidence intervals for internally transformed parameters are asymmetric.
+#> t-test (unrealistically) based on the assumption of normal distribution
+#> for estimators of untransformed parameters.
+#>           Estimate t value    Pr(>t)   Lower     Upper
+#> parent_0 109.20000   29.47 4.218e-07 99.6300 118.70000
+#> k_parent   0.03722   10.90 5.650e-05  0.0294   0.04712
+#> sigma      5.26600    4.00 5.162e-03  1.8820   8.64900
+#> 
+#> FOCUS Chi2 error levels in percent:
+#>          err.min n.optim df
+#> All data   8.385       2  6
+#> parent     8.385       2  6
+#> 
+#> Estimated disappearance times:
+#>         DT50  DT90
+#> parent 18.62 61.87
+#> 
+#> Data:
+#>  time variable observed predicted residual
+#>     0   parent   101.24   109.153  -7.9132
+#>     3   parent    99.27    97.622   1.6484
+#>     7   parent    90.11    84.119   5.9913
+#>    14   parent    72.19    64.826   7.3641
+#>    30   parent    29.71    35.738  -6.0283
+#>    62   parent     5.98    10.862  -4.8818
+#>    90   parent     1.54     3.831  -2.2911
+#>   118   parent     0.39     1.351  -0.9613
+
+
+
+
- - - + + diff --git a/docs/reference/summary.nlme.mmkin.html b/docs/reference/summary.nlme.mmkin.html index 8df9011d..2bc50dac 100644 --- a/docs/reference/summary.nlme.mmkin.html +++ b/docs/reference/summary.nlme.mmkin.html @@ -1,71 +1,16 @@ - - - - - - - -Summary method for class "nlme.mmkin" — summary.nlme.mmkin • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Summary method for class "nlme.mmkin" — summary.nlme.mmkin • mkin - - - - - - - - - - - - - + + -
-
- -
- -
+

Summary method for class "nlme.mmkin"

- Source: R/summary.nlme.mmkin.R + Source: R/summary.nlme.mmkin.R
@@ -155,295 +94,288 @@ endpoints such as formation fractions and DT50 values. Optionally (default is FALSE), the data are listed in full.

- 
# S3 method for nlme.mmkin
-summary(
-  object,
-  data = FALSE,
-  verbose = FALSE,
-  distimes = TRUE,
-  alpha = 0.05,
-  ...
-)
-
-# S3 method for summary.nlme.mmkin
-print(x, digits = max(3, getOption("digits") - 3), verbose = x$verbose, ...)
- -

Arguments

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
object

an object of class nlme.mmkin

data

logical, indicating whether the full data should be included in -the summary.

verbose

Should the summary be verbose?

distimes

logical, indicating whether DT50 and DT90 values should be -included.

alpha

error level for confidence interval estimation from the t -distribution

...

optional arguments passed to methods like print.

x

an object of class summary.nlme.mmkin

digits

Number of digits to use for printing

- -

Value

+
+ 
# S3 method for nlme.mmkin
+summary(
+  object,
+  data = FALSE,
+  verbose = FALSE,
+  distimes = TRUE,
+  alpha = 0.05,
+  ...
+)
+
+# S3 method for summary.nlme.mmkin
+print(x, digits = max(3, getOption("digits") - 3), verbose = x$verbose, ...)
+
-

The summary function returns a list based on the nlme object +

+

Arguments

+
object
+

an object of class nlme.mmkin

+
data
+

logical, indicating whether the full data should be included in +the summary.

+
verbose
+

Should the summary be verbose?

+
distimes
+

logical, indicating whether DT50 and DT90 values should be +included.

+
alpha
+

error level for confidence interval estimation from the t +distribution

+
...
+

optional arguments passed to methods like print.

+
x
+

an object of class summary.nlme.mmkin

+
digits
+

Number of digits to use for printing

+
+
+

Value

+

The summary function returns a list based on the nlme object obtained in the fit, with at least the following additional components

-
nlmeversion, mkinversion, Rversion

The nlme, mkin and R versions used

-
date.fit, date.summary

The dates where the fit and the summary were +

nlmeversion, mkinversion, Rversion
+

The nlme, mkin and R versions used

+
date.fit, date.summary
+

The dates where the fit and the summary were produced

-
diffs

The differential equations used in the degradation model

-
use_of_ff

Was maximum or minimum use made of formation fractions

-
data

The data

-
confint_trans

Transformed parameters as used in the optimisation, with confidence intervals

-
confint_back

Backtransformed parameters, with confidence intervals if available

-
ff

The estimated formation fractions derived from the fitted +

diffs
+

The differential equations used in the degradation model

+
use_of_ff
+

Was maximum or minimum use made of formation fractions

+
data
+

The data

+
confint_trans
+

Transformed parameters as used in the optimisation, with confidence intervals

+
confint_back
+

Backtransformed parameters, with confidence intervals if available

+
ff
+

The estimated formation fractions derived from the fitted model.

-
distimes

The DT50 and DT90 values for each observed variable.

-
SFORB

If applicable, eigenvalues of SFORB components of the model.

-The print method is called for its side effect, i.e. printing the summary. - -

Author

- +
distimes
+

The DT50 and DT90 values for each observed variable.

+
SFORB
+

If applicable, eigenvalues of SFORB components of the model.

+

The print method is called for its side effect, i.e. printing the summary.

+
+
+

Author

Johannes Ranke for the mkin specific parts José Pinheiro and Douglas Bates for the components inherited from nlme

+
-

Examples

- 

-# Generate five datasets following SFO kinetics
-sampling_times = c(0, 1, 3, 7, 14, 28, 60, 90, 120)
-dt50_sfo_in_pop <- 50
-k_in_pop <- log(2) / dt50_sfo_in_pop
-set.seed(1234)
-k_in <- rlnorm(5, log(k_in_pop), 0.5)
-SFO <- mkinmod(parent = mkinsub("SFO"))
-
-pred_sfo <- function(k) {
-  mkinpredict(SFO,
-    c(k_parent = k),
-    c(parent = 100),
-    sampling_times)
-}
-
-ds_sfo_mean <- lapply(k_in, pred_sfo)
-names(ds_sfo_mean) <- paste("ds", 1:5)
-
-set.seed(12345)
-ds_sfo_syn <- lapply(ds_sfo_mean, function(ds) {
-  add_err(ds,
-    sdfunc = function(value) sqrt(1^2 + value^2 * 0.07^2),
-    n = 1)[[1]]
-})
-
-# Evaluate using mmkin and nlme
-library(nlme)
-f_mmkin <- mmkin("SFO", ds_sfo_syn, quiet = TRUE, error_model = "tc", cores = 1)
-
#> Warning: Optimisation did not converge:
-#> iteration limit reached without convergence (10)
f_nlme <- nlme(f_mmkin)
-
#> Warning: Iteration 4, LME step: nlminb() did not converge (code = 1). PORT message: false convergence (8)
summary(f_nlme, data = TRUE)
-
#> nlme version used for fitting:      3.1.152 
-#> mkin version used for pre-fitting:  1.0.4 
-#> R version used for fitting:         4.0.4 
-#> Date of fit:     Wed Mar 31 19:18:24 2021 
-#> Date of summary: Wed Mar 31 19:18:24 2021 
-#> 
-#> Equations:
-#> d_parent/dt = - k_parent * parent
-#> 
-#> Data:
-#> 90 observations of 1 variable(s) grouped in 5 datasets
-#> 
-#> Model predictions using solution type analytical 
-#> 
-#> Fitted in 0.537 s using 4 iterations
-#> 
-#> Variance model: Two-component variance function 
-#> 
-#> Mean of starting values for individual parameters:
-#>     parent_0 log_k_parent 
-#>      101.569       -4.454 
-#> 
-#> Fixed degradation parameter values:
-#> None
-#> 
-#> Results:
-#> 
-#>     AIC   BIC logLik
-#>   584.5 599.5 -286.2
-#> 
-#> Optimised, transformed parameters with symmetric confidence intervals:
-#>               lower    est.   upper
-#> parent_0     99.371 101.592 103.814
-#> log_k_parent -4.973  -4.449  -3.926
-#> 
-#> Correlation: 
-#>              prnt_0
-#> log_k_parent 0.051 
-#> 
-#> Random effects:
-#>  Formula: list(parent_0 ~ 1, log_k_parent ~ 1)
-#>  Level: ds
-#>  Structure: Diagonal
-#>          parent_0 log_k_parent Residual
-#> StdDev: 6.924e-05       0.5863        1
-#> 
-#> Variance function:
-#>  Structure: Constant plus proportion of variance covariate
-#>  Formula: ~fitted(.) 
-#>  Parameter estimates:
-#>        const         prop 
-#> 0.0001208853 0.0789968036 
-#> 
-#> Backtransformed parameters with asymmetric confidence intervals:
-#>              lower      est.     upper
-#> parent_0 99.370882 101.59243 103.81398
-#> k_parent  0.006923   0.01168   0.01972
-#> 
-#> Estimated disappearance times:
-#>         DT50  DT90
-#> parent 59.32 197.1
-#> 
-#> Data:
-#>    ds   name time observed predicted  residual    std standardized
-#>  ds 1 parent    0    104.1   101.592   2.50757 8.0255     0.312451
-#>  ds 1 parent    0    105.0   101.592   3.40757 8.0255     0.424594
-#>  ds 1 parent    1     98.5   100.796  -2.29571 7.9625    -0.288313
-#>  ds 1 parent    1     96.1   100.796  -4.69571 7.9625    -0.589725
-#>  ds 1 parent    3    101.9    99.221   2.67904 7.8381     0.341796
-#>  ds 1 parent    3     85.2    99.221 -14.02096 7.8381    -1.788812
-#>  ds 1 parent    7     99.1    96.145   2.95512 7.5951     0.389081
-#>  ds 1 parent    7     93.0    96.145  -3.14488 7.5951    -0.414065
-#>  ds 1 parent   14     88.1    90.989  -2.88944 7.1879    -0.401987
-#>  ds 1 parent   14     84.1    90.989  -6.88944 7.1879    -0.958480
-#>  ds 1 parent   28     80.2    81.493  -1.29305 6.4377    -0.200857
-#>  ds 1 parent   28     91.3    81.493   9.80695 6.4377     1.523364
-#>  ds 1 parent   60     65.1    63.344   1.75642 5.0039     0.351008
-#>  ds 1 parent   60     65.8    63.344   2.45642 5.0039     0.490898
-#>  ds 1 parent   90     47.8    50.018  -2.21764 3.9512    -0.561252
-#>  ds 1 parent   90     53.5    50.018   3.48236 3.9512     0.881335
-#>  ds 1 parent  120     37.6    39.495  -1.89515 3.1200    -0.607423
-#>  ds 1 parent  120     39.3    39.495  -0.19515 3.1200    -0.062549
-#>  ds 2 parent    0    107.9   101.592   6.30757 8.0255     0.785943
-#>  ds 2 parent    0    102.1   101.592   0.50757 8.0255     0.063245
-#>  ds 2 parent    1    103.8   100.058   3.74159 7.9043     0.473361
-#>  ds 2 parent    1    108.6   100.058   8.54159 7.9043     1.080626
-#>  ds 2 parent    3     91.0    97.060  -6.05952 7.6674    -0.790297
-#>  ds 2 parent    3     84.9    97.060 -12.15952 7.6674    -1.585874
-#>  ds 2 parent    7     79.3    91.329 -12.02867 7.2147    -1.667251
-#>  ds 2 parent    7    100.9    91.329   9.57133 7.2147     1.326647
-#>  ds 2 parent   14     77.3    82.102  -4.80185 6.4858    -0.740366
-#>  ds 2 parent   14     83.5    82.102   1.39815 6.4858     0.215571
-#>  ds 2 parent   28     66.8    66.351   0.44945 5.2415     0.085748
-#>  ds 2 parent   28     63.3    66.351  -3.05055 5.2415    -0.582002
-#>  ds 2 parent   60     40.8    40.775   0.02474 3.2211     0.007679
-#>  ds 2 parent   60     44.8    40.775   4.02474 3.2211     1.249485
-#>  ds 2 parent   90     27.8    25.832   1.96762 2.0407     0.964198
-#>  ds 2 parent   90     27.0    25.832   1.16762 2.0407     0.572171
-#>  ds 2 parent  120     15.2    16.366  -1.16561 1.2928    -0.901595
-#>  ds 2 parent  120     15.5    16.366  -0.86561 1.2928    -0.669547
-#>  ds 3 parent    0     97.7   101.592  -3.89243 8.0255    -0.485009
-#>  ds 3 parent    0     88.2   101.592 -13.39243 8.0255    -1.668739
-#>  ds 3 parent    1    109.9    99.218  10.68196 7.8379     1.362858
-#>  ds 3 parent    1     97.8    99.218  -1.41804 7.8379    -0.180921
-#>  ds 3 parent    3    100.5    94.634   5.86555 7.4758     0.784603
-#>  ds 3 parent    3     77.4    94.634 -17.23445 7.4758    -2.305360
-#>  ds 3 parent    7     78.3    86.093  -7.79273 6.8011    -1.145813
-#>  ds 3 parent    7     90.3    86.093   4.20727 6.8011     0.618620
-#>  ds 3 parent   14     76.0    72.958   3.04222 5.7634     0.527848
-#>  ds 3 parent   14     79.1    72.958   6.14222 5.7634     1.065722
-#>  ds 3 parent   28     46.0    52.394  -6.39404 4.1390    -1.544842
-#>  ds 3 parent   28     53.4    52.394   1.00596 4.1390     0.243046
-#>  ds 3 parent   60     25.1    24.582   0.51786 1.9419     0.266676
-#>  ds 3 parent   60     21.4    24.582  -3.18214 1.9419    -1.638664
-#>  ds 3 parent   90     11.0    12.092  -1.09202 0.9552    -1.143199
-#>  ds 3 parent   90     14.2    12.092   2.10798 0.9552     2.206776
-#>  ds 3 parent  120      5.8     5.948  -0.14810 0.4699    -0.315178
-#>  ds 3 parent  120      6.1     5.948   0.15190 0.4699     0.323282
-#>  ds 4 parent    0     95.3   101.592  -6.29243 8.0255    -0.784057
-#>  ds 4 parent    0    102.0   101.592   0.40757 8.0255     0.050784
-#>  ds 4 parent    1    104.4   101.125   3.27549 7.9885     0.410025
-#>  ds 4 parent    1    105.4   101.125   4.27549 7.9885     0.535205
-#>  ds 4 parent    3    113.7   100.195  13.50487 7.9151     1.706218
-#>  ds 4 parent    3     82.3   100.195 -17.89513 7.9151    -2.260886
-#>  ds 4 parent    7     98.1    98.362  -0.26190 7.7703    -0.033706
-#>  ds 4 parent    7     87.8    98.362 -10.56190 7.7703    -1.359270
-#>  ds 4 parent   14     97.9    95.234   2.66590 7.5232     0.354357
-#>  ds 4 parent   14    104.8    95.234   9.56590 7.5232     1.271521
-#>  ds 4 parent   28     85.0    89.274  -4.27372 7.0523    -0.606001
-#>  ds 4 parent   28     77.2    89.274 -12.07372 7.0523    -1.712017
-#>  ds 4 parent   60     82.2    77.013   5.18661 6.0838     0.852526
-#>  ds 4 parent   60     86.1    77.013   9.08661 6.0838     1.493571
-#>  ds 4 parent   90     70.5    67.053   3.44692 5.2970     0.650733
-#>  ds 4 parent   90     61.7    67.053  -5.35308 5.2970    -1.010591
-#>  ds 4 parent  120     60.0    58.381   1.61905 4.6119     0.351058
-#>  ds 4 parent  120     56.4    58.381  -1.98095 4.6119    -0.429530
-#>  ds 5 parent    0     92.6   101.592  -8.99243 8.0255    -1.120485
-#>  ds 5 parent    0    116.5   101.592  14.90757 8.0255     1.857531
-#>  ds 5 parent    1    108.0    99.914   8.08560 7.8929     1.024413
-#>  ds 5 parent    1    104.9    99.914   4.98560 7.8929     0.631655
-#>  ds 5 parent    3    100.5    96.641   3.85898 7.6343     0.505477
-#>  ds 5 parent    3     89.5    96.641  -7.14102 7.6343    -0.935382
-#>  ds 5 parent    7     91.7    90.412   1.28752 7.1423     0.180267
-#>  ds 5 parent    7     95.1    90.412   4.68752 7.1423     0.656304
-#>  ds 5 parent   14     82.2    80.463   1.73715 6.3563     0.273295
-#>  ds 5 parent   14     84.5    80.463   4.03715 6.3563     0.635141
-#>  ds 5 parent   28     60.5    63.728  -3.22788 5.0343    -0.641178
-#>  ds 5 parent   28     72.8    63.728   9.07212 5.0343     1.802062
-#>  ds 5 parent   60     38.3    37.399   0.90061 2.9544     0.304835
-#>  ds 5 parent   60     40.7    37.399   3.30061 2.9544     1.117174
-#>  ds 5 parent   90     22.5    22.692  -0.19165 1.7926    -0.106913
-#>  ds 5 parent   90     20.8    22.692  -1.89165 1.7926    -1.055273
-#>  ds 5 parent  120     13.4    13.768  -0.36790 1.0876    -0.338259
-#>  ds 5 parent  120     13.8    13.768   0.03210 1.0876     0.029517

-
+
+

Examples

+ 

+# Generate five datasets following SFO kinetics
+sampling_times = c(0, 1, 3, 7, 14, 28, 60, 90, 120)
+dt50_sfo_in_pop <- 50
+k_in_pop <- log(2) / dt50_sfo_in_pop
+set.seed(1234)
+k_in <- rlnorm(5, log(k_in_pop), 0.5)
+SFO <- mkinmod(parent = mkinsub("SFO"))
+
+pred_sfo <- function(k) {
+  mkinpredict(SFO,
+    c(k_parent = k),
+    c(parent = 100),
+    sampling_times)
+}
+
+ds_sfo_mean <- lapply(k_in, pred_sfo)
+names(ds_sfo_mean) <- paste("ds", 1:5)
+
+set.seed(12345)
+ds_sfo_syn <- lapply(ds_sfo_mean, function(ds) {
+  add_err(ds,
+    sdfunc = function(value) sqrt(1^2 + value^2 * 0.07^2),
+    n = 1)[[1]]
+})
+
+# Evaluate using mmkin and nlme
+library(nlme)
+f_mmkin <- mmkin("SFO", ds_sfo_syn, quiet = TRUE, error_model = "tc", cores = 1)
+f_nlme <- nlme(f_mmkin)
+summary(f_nlme, data = TRUE)
+#> nlme version used for fitting:      3.1.155 
+#> mkin version used for pre-fitting:  1.1.0 
+#> R version used for fitting:         4.1.2 
+#> Date of fit:     Wed Mar  2 13:42:16 2022 
+#> Date of summary: Wed Mar  2 13:42:16 2022 
+#> 
+#> Equations:
+#> d_parent/dt = - k_parent * parent
+#> 
+#> Data:
+#> 90 observations of 1 variable(s) grouped in 5 datasets
+#> 
+#> Model predictions using solution type analytical 
+#> 
+#> Fitted in 0.545 s using 4 iterations
+#> 
+#> Variance model: Two-component variance function 
+#> 
+#> Mean of starting values for individual parameters:
+#>     parent_0 log_k_parent 
+#>      101.569       -4.454 
+#> 
+#> Fixed degradation parameter values:
+#> None
+#> 
+#> Results:
+#> 
+#>     AIC   BIC logLik
+#>   584.5 599.5 -286.2
+#> 
+#> Optimised, transformed parameters with symmetric confidence intervals:
+#>               lower    est.   upper
+#> parent_0     99.371 101.592 103.814
+#> log_k_parent -4.973  -4.449  -3.926
+#> 
+#> Correlation: 
+#>              parnt_0
+#> log_k_parent 0.0507 
+#> 
+#> Random effects:
+#>  Formula: list(parent_0 ~ 1, log_k_parent ~ 1)
+#>  Level: ds
+#>  Structure: Diagonal
+#>          parent_0 log_k_parent Residual
+#> StdDev: 6.924e-05       0.5863        1
+#> 
+#> Variance function:
+#>  Structure: Constant plus proportion of variance covariate
+#>  Formula: ~fitted(.) 
+#>  Parameter estimates:
+#>        const         prop 
+#> 0.0001208853 0.0789968036 
+#> 
+#> Backtransformed parameters with asymmetric confidence intervals:
+#>              lower      est.     upper
+#> parent_0 99.370882 101.59243 103.81398
+#> k_parent  0.006923   0.01168   0.01972
+#> 
+#> Estimated disappearance times:
+#>         DT50  DT90
+#> parent 59.32 197.1
+#> 
+#> Data:
+#>    ds   name time observed predicted  residual    std standardized
+#>  ds 1 parent    0    104.1   101.592   2.50757 8.0255     0.312451
+#>  ds 1 parent    0    105.0   101.592   3.40757 8.0255     0.424594
+#>  ds 1 parent    1     98.5   100.796  -2.29571 7.9625    -0.288313
+#>  ds 1 parent    1     96.1   100.796  -4.69571 7.9625    -0.589725
+#>  ds 1 parent    3    101.9    99.221   2.67904 7.8381     0.341796
+#>  ds 1 parent    3     85.2    99.221 -14.02096 7.8381    -1.788812
+#>  ds 1 parent    7     99.1    96.145   2.95512 7.5951     0.389081
+#>  ds 1 parent    7     93.0    96.145  -3.14488 7.5951    -0.414065
+#>  ds 1 parent   14     88.1    90.989  -2.88944 7.1879    -0.401987
+#>  ds 1 parent   14     84.1    90.989  -6.88944 7.1879    -0.958480
+#>  ds 1 parent   28     80.2    81.493  -1.29305 6.4377    -0.200857
+#>  ds 1 parent   28     91.3    81.493   9.80695 6.4377     1.523364
+#>  ds 1 parent   60     65.1    63.344   1.75642 5.0039     0.351008
+#>  ds 1 parent   60     65.8    63.344   2.45642 5.0039     0.490898
+#>  ds 1 parent   90     47.8    50.018  -2.21764 3.9512    -0.561252
+#>  ds 1 parent   90     53.5    50.018   3.48236 3.9512     0.881335
+#>  ds 1 parent  120     37.6    39.495  -1.89515 3.1200    -0.607423
+#>  ds 1 parent  120     39.3    39.495  -0.19515 3.1200    -0.062549
+#>  ds 2 parent    0    107.9   101.592   6.30757 8.0255     0.785943
+#>  ds 2 parent    0    102.1   101.592   0.50757 8.0255     0.063245
+#>  ds 2 parent    1    103.8   100.058   3.74159 7.9043     0.473361
+#>  ds 2 parent    1    108.6   100.058   8.54159 7.9043     1.080626
+#>  ds 2 parent    3     91.0    97.060  -6.05952 7.6674    -0.790297
+#>  ds 2 parent    3     84.9    97.060 -12.15952 7.6674    -1.585874
+#>  ds 2 parent    7     79.3    91.329 -12.02867 7.2147    -1.667251
+#>  ds 2 parent    7    100.9    91.329   9.57133 7.2147     1.326647
+#>  ds 2 parent   14     77.3    82.102  -4.80185 6.4858    -0.740366
+#>  ds 2 parent   14     83.5    82.102   1.39815 6.4858     0.215571
+#>  ds 2 parent   28     66.8    66.351   0.44945 5.2415     0.085748
+#>  ds 2 parent   28     63.3    66.351  -3.05055 5.2415    -0.582002
+#>  ds 2 parent   60     40.8    40.775   0.02474 3.2211     0.007679
+#>  ds 2 parent   60     44.8    40.775   4.02474 3.2211     1.249485
+#>  ds 2 parent   90     27.8    25.832   1.96762 2.0407     0.964198
+#>  ds 2 parent   90     27.0    25.832   1.16762 2.0407     0.572171
+#>  ds 2 parent  120     15.2    16.366  -1.16561 1.2928    -0.901595
+#>  ds 2 parent  120     15.5    16.366  -0.86561 1.2928    -0.669547
+#>  ds 3 parent    0     97.7   101.592  -3.89243 8.0255    -0.485009
+#>  ds 3 parent    0     88.2   101.592 -13.39243 8.0255    -1.668739
+#>  ds 3 parent    1    109.9    99.218  10.68196 7.8379     1.362858
+#>  ds 3 parent    1     97.8    99.218  -1.41804 7.8379    -0.180921
+#>  ds 3 parent    3    100.5    94.634   5.86555 7.4758     0.784603
+#>  ds 3 parent    3     77.4    94.634 -17.23445 7.4758    -2.305360
+#>  ds 3 parent    7     78.3    86.093  -7.79273 6.8011    -1.145813
+#>  ds 3 parent    7     90.3    86.093   4.20727 6.8011     0.618620
+#>  ds 3 parent   14     76.0    72.958   3.04222 5.7634     0.527848
+#>  ds 3 parent   14     79.1    72.958   6.14222 5.7634     1.065722
+#>  ds 3 parent   28     46.0    52.394  -6.39404 4.1390    -1.544842
+#>  ds 3 parent   28     53.4    52.394   1.00596 4.1390     0.243046
+#>  ds 3 parent   60     25.1    24.582   0.51786 1.9419     0.266676
+#>  ds 3 parent   60     21.4    24.582  -3.18214 1.9419    -1.638664
+#>  ds 3 parent   90     11.0    12.092  -1.09202 0.9552    -1.143199
+#>  ds 3 parent   90     14.2    12.092   2.10798 0.9552     2.206776
+#>  ds 3 parent  120      5.8     5.948  -0.14810 0.4699    -0.315178
+#>  ds 3 parent  120      6.1     5.948   0.15190 0.4699     0.323282
+#>  ds 4 parent    0     95.3   101.592  -6.29243 8.0255    -0.784057
+#>  ds 4 parent    0    102.0   101.592   0.40757 8.0255     0.050784
+#>  ds 4 parent    1    104.4   101.125   3.27549 7.9885     0.410025
+#>  ds 4 parent    1    105.4   101.125   4.27549 7.9885     0.535205
+#>  ds 4 parent    3    113.7   100.195  13.50487 7.9151     1.706218
+#>  ds 4 parent    3     82.3   100.195 -17.89513 7.9151    -2.260886
+#>  ds 4 parent    7     98.1    98.362  -0.26190 7.7703    -0.033706
+#>  ds 4 parent    7     87.8    98.362 -10.56190 7.7703    -1.359270
+#>  ds 4 parent   14     97.9    95.234   2.66590 7.5232     0.354357
+#>  ds 4 parent   14    104.8    95.234   9.56590 7.5232     1.271521
+#>  ds 4 parent   28     85.0    89.274  -4.27372 7.0523    -0.606001
+#>  ds 4 parent   28     77.2    89.274 -12.07372 7.0523    -1.712017
+#>  ds 4 parent   60     82.2    77.013   5.18661 6.0838     0.852526
+#>  ds 4 parent   60     86.1    77.013   9.08661 6.0838     1.493571
+#>  ds 4 parent   90     70.5    67.053   3.44692 5.2970     0.650733
+#>  ds 4 parent   90     61.7    67.053  -5.35308 5.2970    -1.010591
+#>  ds 4 parent  120     60.0    58.381   1.61905 4.6119     0.351058
+#>  ds 4 parent  120     56.4    58.381  -1.98095 4.6119    -0.429530
+#>  ds 5 parent    0     92.6   101.592  -8.99243 8.0255    -1.120485
+#>  ds 5 parent    0    116.5   101.592  14.90757 8.0255     1.857531
+#>  ds 5 parent    1    108.0    99.914   8.08560 7.8929     1.024413
+#>  ds 5 parent    1    104.9    99.914   4.98560 7.8929     0.631655
+#>  ds 5 parent    3    100.5    96.641   3.85898 7.6343     0.505477
+#>  ds 5 parent    3     89.5    96.641  -7.14102 7.6343    -0.935382
+#>  ds 5 parent    7     91.7    90.412   1.28752 7.1423     0.180267
+#>  ds 5 parent    7     95.1    90.412   4.68752 7.1423     0.656304
+#>  ds 5 parent   14     82.2    80.463   1.73715 6.3563     0.273295
+#>  ds 5 parent   14     84.5    80.463   4.03715 6.3563     0.635141
+#>  ds 5 parent   28     60.5    63.728  -3.22788 5.0343    -0.641178
+#>  ds 5 parent   28     72.8    63.728   9.07212 5.0343     1.802062
+#>  ds 5 parent   60     38.3    37.399   0.90061 2.9544     0.304835
+#>  ds 5 parent   60     40.7    37.399   3.30061 2.9544     1.117174
+#>  ds 5 parent   90     22.5    22.692  -0.19165 1.7926    -0.106913
+#>  ds 5 parent   90     20.8    22.692  -1.89165 1.7926    -1.055273
+#>  ds 5 parent  120     13.4    13.768  -0.36790 1.0876    -0.338259
+#>  ds 5 parent  120     13.8    13.768   0.03210 1.0876     0.029517
+
+
+
+
- - - + + diff --git a/docs/reference/summary.nlmixr.mmkin.html b/docs/reference/summary.nlmixr.mmkin.html new file mode 100644 index 00000000..57541950 --- /dev/null +++ b/docs/reference/summary.nlmixr.mmkin.html @@ -0,0 +1,2917 @@ + +Summary method for class "nlmixr.mmkin" — summary.nlmixr.mmkin • mkin + + +
+
+ + + +
+
+
+

Summary method for class "nlmixr.mmkin"

+ Source: R/summary.nlmixr.mmkin.R + +
+ +
+

Lists model equations, initial parameter values, optimised parameters +for fixed effects (population), random effects (deviations from the +population mean) and residual error model, as well as the resulting +endpoints such as formation fractions and DT50 values. Optionally +(default is FALSE), the data are listed in full.

+
+ +
+ 
# S3 method for nlmixr.mmkin
+summary(object, data = FALSE, verbose = FALSE, distimes = TRUE, ...)
+
+# S3 method for summary.nlmixr.mmkin
+print(x, digits = max(3, getOption("digits") - 3), verbose = x$verbose, ...)
+
+ +
+

Arguments

+
object
+

an object of class nlmixr.mmkin

+
data
+

logical, indicating whether the full data should be included in +the summary.

+
verbose
+

Should the summary be verbose?

+
distimes
+

logical, indicating whether DT50 and DT90 values should be +included.

+
...
+

optional arguments passed to methods like print.

+
x
+

an object of class summary.nlmixr.mmkin

+
digits
+

Number of digits to use for printing

+
+
+

Value

+

The summary function returns a list obtained in the fit, with at +least the following additional components

+
nlmixrversion, mkinversion, Rversion
+

The nlmixr, mkin and R versions used

+
date.fit, date.summary
+

The dates where the fit and the summary were +produced

+
diffs
+

The differential equations used in the degradation model

+
use_of_ff
+

Was maximum or minimum use made of formation fractions

+
data
+

The data

+
confint_back
+

Backtransformed parameters, with confidence intervals if available

+
ff
+

The estimated formation fractions derived from the fitted +model.

+
distimes
+

The DT50 and DT90 values for each observed variable.

+
SFORB
+

If applicable, eigenvalues of SFORB components of the model.

+

The print method is called for its side effect, i.e. printing the summary.

+
+
+

Author

+

Johannes Ranke for the mkin specific parts +nlmixr authors for the parts inherited from nlmixr.

+
+ +
+

Examples

+ 
# Generate five datasets following DFOP-SFO kinetics
+sampling_times = c(0, 1, 3, 7, 14, 28, 60, 90, 120)
+dfop_sfo <- mkinmod(parent = mkinsub("DFOP", "m1"),
+ m1 = mkinsub("SFO"), quiet = TRUE)
+set.seed(1234)
+k1_in <- rlnorm(5, log(0.1), 0.3)
+k2_in <- rlnorm(5, log(0.02), 0.3)
+g_in <- plogis(rnorm(5, qlogis(0.5), 0.3))
+f_parent_to_m1_in <- plogis(rnorm(5, qlogis(0.3), 0.3))
+k_m1_in <- rlnorm(5, log(0.02), 0.3)
+
+pred_dfop_sfo <- function(k1, k2, g, f_parent_to_m1, k_m1) {
+  mkinpredict(dfop_sfo,
+    c(k1 = k1, k2 = k2, g = g, f_parent_to_m1 = f_parent_to_m1, k_m1 = k_m1),
+    c(parent = 100, m1 = 0),
+    sampling_times)
+}
+
+ds_mean_dfop_sfo <- lapply(1:5, function(i) {
+  mkinpredict(dfop_sfo,
+    c(k1 = k1_in[i], k2 = k2_in[i], g = g_in[i],
+      f_parent_to_m1 = f_parent_to_m1_in[i], k_m1 = k_m1_in[i]),
+    c(parent = 100, m1 = 0),
+    sampling_times)
+})
+names(ds_mean_dfop_sfo) <- paste("ds", 1:5)
+
+ds_syn_dfop_sfo <- lapply(ds_mean_dfop_sfo, function(ds) {
+  add_err(ds,
+    sdfunc = function(value) sqrt(1^2 + value^2 * 0.07^2),
+    n = 1)[[1]]
+})
+
+# \dontrun{
+# Evaluate using mmkin and nlmixr
+f_mmkin_dfop_sfo <- mmkin(list(dfop_sfo), ds_syn_dfop_sfo,
+  quiet = TRUE, error_model = "tc", cores = 5)
+f_saemix_dfop_sfo <- mkin::saem(f_mmkin_dfop_sfo)
+f_nlme_dfop_sfo <- mkin::nlme(f_mmkin_dfop_sfo)
+f_nlmixr_dfop_sfo_saem <- nlmixr(f_mmkin_dfop_sfo, est = "saem")
+#> With est = 'saem', a different error model is required for each observed variableChanging the error model to 'obs_tc' (Two-component error for each observed variable)
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#>  
+#> → generate SAEM model
+#> ✔ done
+#> 1:    99.5921   -3.9040   -2.1350   -3.7103   -2.0097    0.3217    6.6502    0.1520    0.5415    0.1995    0.3705    0.5588    7.9084    0.0824    7.5666    0.1777
+#> 2:    99.9835   -3.8650   -2.3586   -4.0306   -1.6536    0.0696    6.3177    0.1590    0.5144    0.1895    0.3520    0.5308    4.7746    0.0649    4.5667    0.0865
+#> 3:    1.0014e+02  -4.0173e+00  -2.3869e+00  -4.0840e+00  -1.2338e+00   3.4899e-02   6.0018e+00   1.5109e-01   4.8870e-01   1.8005e-01   3.3438e-01   5.0428e-01   2.8890e+00   7.0377e-02   2.9045e+00   9.5437e-02
+#> 4:    1.0024e+02  -4.1414e+00  -2.4972e+00  -4.1082e+00  -1.0291e+00  -1.0684e-02   5.7017e+00   1.4354e-01   4.6427e-01   1.7105e-01   3.1766e-01   4.7907e-01   2.1715e+00   8.9921e-02   1.8765e+00   1.0403e-01
+#> 5:    1.0068e+02  -4.1132e+00  -2.4776e+00  -4.0576e+00  -1.0391e+00  -8.8738e-02   5.8192e+00   1.3636e-01   4.4106e-01   1.6249e-01   3.0177e-01   4.5512e-01   1.6349e+00   8.3197e-02   1.4947e+00   1.0221e-01
+#> 6:    1.0044e+02  -4.0883e+00  -2.3931e+00  -4.1068e+00  -9.5058e-01  -1.2696e-01   5.5283e+00   1.2954e-01   4.1900e-01   1.5437e-01   2.8669e-01   4.5581e-01   1.4126e+00   8.1219e-02   1.2286e+00   1.0043e-01
+#> 7:    1.0103e+02  -4.0833e+00  -2.4194e+00  -4.0894e+00  -9.8547e-01   5.2360e-03   9.8755e+00   1.2306e-01   3.9805e-01   1.4665e-01   2.7235e-01   5.3394e-01   1.3620e+00   7.9842e-02   1.0649e+00   1.0298e-01
+#> 8:    1.0106e+02  -4.0535e+00  -2.3489e+00  -4.0682e+00  -9.4455e-01  -9.4310e-02   9.3818e+00   1.1691e-01   3.7815e-01   1.3932e-01   2.5873e-01   5.0724e-01   1.2163e+00   7.0820e-02   1.0147e+00   9.2362e-02
+#> 9:    1.0150e+02  -4.0498e+00  -2.4037e+00  -4.0719e+00  -9.3384e-01  -1.2384e-01   8.9127e+00   1.1107e-01   3.5924e-01   1.3235e-01   2.4580e-01   5.3463e-01   1.0849e+00   7.7513e-02   9.8295e-01   8.5927e-02
+#> 10:    1.0089e+02  -4.0313e+00  -2.3670e+00  -4.0573e+00  -9.0269e-01  -1.6427e-01   8.4670e+00   1.0551e-01   3.4128e-01   1.2573e-01   2.3351e-01   5.4980e-01   1.1274e+00   7.6000e-02   9.8582e-01   8.9740e-02
+#> 11:    1.0089e+02  -4.0664e+00  -2.3547e+00  -4.0554e+00  -9.3659e-01  -1.6900e-01   8.0437e+00   1.0024e-01   3.2422e-01   1.1945e-01   2.2183e-01   5.2231e-01   1.1513e+00   7.5801e-02   9.7638e-01   8.5324e-02
+#> 12:    1.0067e+02  -4.0427e+00  -2.3729e+00  -4.0413e+00  -9.2169e-01  -2.0927e-01   8.6156e+00   9.5225e-02   3.0801e-01   1.1348e-01   2.1074e-01   6.0288e-01   1.1918e+00   7.4830e-02   9.1899e-01   8.7983e-02
+#> 13:    1.0042e+02  -4.0387e+00  -2.3650e+00  -4.0623e+00  -9.3973e-01  -2.2277e-01   8.1848e+00   9.0463e-02   2.9260e-01   1.0780e-01   2.0020e-01   5.7274e-01   1.1022e+00   7.3652e-02   9.1657e-01   8.7973e-02
+#> 14:    1.0020e+02  -4.0227e+00  -2.3586e+00  -4.0333e+00  -9.4451e-01  -1.8020e-01   7.7756e+00   8.5940e-02   2.7797e-01   1.0241e-01   1.9019e-01   5.4410e-01   1.0728e+00   8.0169e-02   7.8974e-01   9.0162e-02
+#> 15:    1.0045e+02  -4.0209e+00  -2.3544e+00  -4.0187e+00  -8.9758e-01  -2.4348e-01   7.3868e+00   8.1643e-02   2.6408e-01   9.7291e-02   1.8068e-01   6.4534e-01   1.0287e+00   7.9387e-02   7.3357e-01   9.0858e-02
+#> 16:    1.0061e+02  -4.0195e+00  -2.3678e+00  -4.0419e+00  -8.9130e-01  -2.4248e-01   7.0175e+00   7.7561e-02   2.5087e-01   9.2427e-02   1.7165e-01   6.7145e-01   1.0440e+00   7.9292e-02   8.4681e-01   8.5285e-02
+#> 17:    1.0034e+02  -4.0298e+00  -2.3685e+00  -4.0637e+00  -8.9550e-01  -1.0712e-01   6.6666e+00   7.3683e-02   2.3833e-01   8.7805e-02   1.6307e-01   6.3788e-01   1.0827e+00   7.1441e-02   8.5278e-01   8.8090e-02
+#> 18:    99.8774   -4.0600   -2.3805   -4.0726   -0.9545   -0.1196    6.3333    0.0700    0.2264    0.0834    0.1549    0.6060    1.0056    0.0751    0.8017    0.0877
+#> 19:    1.0055e+02  -4.0731e+00  -2.2711e+00  -4.0824e+00  -9.5827e-01  -5.9764e-02   6.0166e+00   6.6499e-02   2.1509e-01   7.9244e-02   1.4717e-01   5.7835e-01   9.3185e-01   7.9396e-02   8.2332e-01   9.1277e-02
+#> 20:    1.0060e+02  -4.1023e+00  -2.2841e+00  -4.0757e+00  -9.7931e-01  -1.0440e-01   5.7158e+00   6.3174e-02   2.0434e-01   7.5282e-02   1.3981e-01   6.4675e-01   1.0006e+00   7.7840e-02   8.7958e-01   9.1512e-02
+#> 21:    1.0095e+02  -4.0955e+00  -2.3274e+00  -4.1038e+00  -9.5611e-01  -5.2481e-02   5.8063e+00   6.0015e-02   1.9412e-01   7.1518e-02   1.3282e-01   6.4943e-01   1.0926e+00   7.2665e-02   9.0450e-01   8.6278e-02
+#> 22:    1.0083e+02  -4.0789e+00  -2.3108e+00  -4.1074e+00  -9.6548e-01  -4.9665e-02   5.5160e+00   5.7014e-02   1.8441e-01   6.7942e-02   1.2618e-01   6.7304e-01   9.3297e-01   8.1042e-02   8.9206e-01   9.2336e-02
+#> 23:    1.0114e+02  -4.0924e+00  -2.4027e+00  -4.0947e+00  -9.7291e-01  -5.0773e-02   5.2567e+00   5.4164e-02   1.7519e-01   6.5747e-02   1.1987e-01   7.3402e-01   9.7858e-01   8.2133e-02   8.4928e-01   8.8254e-02
+#> 24:    1.0151e+02  -4.0787e+00  -2.3696e+00  -4.0712e+00  -9.5647e-01  -5.4136e-02   4.9938e+00   5.1456e-02   1.6643e-01   6.2460e-02   1.1388e-01   7.1847e-01   9.7548e-01   7.7691e-02   9.0418e-01   8.9115e-02
+#> 25:    1.0158e+02  -4.0830e+00  -2.3384e+00  -4.0705e+00  -9.5727e-01  -8.4974e-02   4.7442e+00   4.8883e-02   1.5811e-01   5.9337e-02   1.0818e-01   6.8255e-01   1.0340e+00   7.4497e-02   9.0691e-01   9.0886e-02
+#> 26:    1.0156e+02  -4.0784e+00  -2.3030e+00  -4.1027e+00  -9.5638e-01  -4.9456e-03   4.5069e+00   4.6439e-02   1.5021e-01   5.6370e-02   1.1189e-01   6.4842e-01   1.0537e+00   7.7612e-02   9.6725e-01   8.7824e-02
+#> 27:    1.0198e+02  -4.0828e+00  -2.3006e+00  -4.0803e+00  -9.9402e-01  -8.3280e-02   4.2816e+00   4.4117e-02   1.4270e-01   5.3552e-02   1.3300e-01   6.1600e-01   9.1051e-01   7.7677e-02   9.5949e-01   8.6552e-02
+#> 28:    1.0183e+02  -4.0871e+00  -2.2822e+00  -4.0596e+00  -9.9920e-01  -1.1469e-01   4.0675e+00   4.1911e-02   1.3556e-01   5.0874e-02   1.4021e-01   5.8520e-01   1.0294e+00   7.0917e-02   8.6440e-01   9.0301e-02
+#> 29:    1.0171e+02  -4.0838e+00  -2.2606e+00  -4.0885e+00  -9.8937e-01  -6.6488e-02   4.3393e+00   3.9815e-02   1.2878e-01   4.8330e-02   1.3320e-01   5.5594e-01   1.0042e+00   8.1585e-02   8.5434e-01   8.6032e-02
+#> 30:    1.0177e+02  -4.0861e+00  -2.2615e+00  -4.0670e+00  -9.9119e-01  -1.1322e-01   6.3058e+00   3.7825e-02   1.2942e-01   4.5914e-02   1.4223e-01   5.2814e-01   9.6301e-01   7.3336e-02   9.2366e-01   8.9276e-02
+#> 31:    1.0160e+02  -4.0900e+00  -2.2455e+00  -4.0514e+00  -9.8754e-01  -2.2617e-01   5.9905e+00   3.5933e-02   1.2295e-01   4.3618e-02   1.3512e-01   5.2898e-01   1.0441e+00   7.6262e-02   1.0227e+00   8.3759e-02
+#> 32:    1.0193e+02  -4.0967e+00  -2.2599e+00  -4.0295e+00  -9.8917e-01  -1.6626e-01   5.6910e+00   3.4137e-02   1.2620e-01   4.1437e-02   1.4303e-01   5.0253e-01   9.8083e-01   7.4136e-02   1.0031e+00   8.5124e-02
+#> 33:    1.0215e+02  -4.0713e+00  -2.2563e+00  -4.0313e+00  -9.7361e-01  -1.8246e-01   5.4065e+00   3.2430e-02   1.1989e-01   3.9365e-02   1.5371e-01   4.7741e-01   9.6935e-01   8.0491e-02   9.7610e-01   8.0590e-02
+#> 34:    1.0251e+02  -4.0707e+00  -2.2635e+00  -4.0387e+00  -9.2149e-01  -1.3452e-01   6.3940e+00   3.0808e-02   1.1389e-01   3.7397e-02   1.6720e-01   4.5354e-01   9.2449e-01   7.4355e-02   1.0505e+00   8.3049e-02
+#> 35:    1.0278e+02  -4.0579e+00  -2.2877e+00  -4.0289e+00  -9.6632e-01  -1.2910e-01   6.0743e+00   2.9268e-02   1.0820e-01   3.5527e-02   1.7242e-01   4.3086e-01   1.0129e+00   7.3224e-02   1.0035e+00   7.9411e-02
+#> 36:    1.0283e+02  -4.0771e+00  -2.2977e+00  -4.0108e+00  -9.5228e-01  -2.1781e-01   5.7706e+00   2.7805e-02   1.0279e-01   3.3751e-02   1.7034e-01   4.0932e-01   9.0249e-01   7.9917e-02   9.4562e-01   8.2391e-02
+#> 37:    1.0228e+02  -4.0442e+00  -2.3061e+00  -4.0150e+00  -9.5376e-01  -1.4873e-01   5.4821e+00   2.6414e-02   9.7651e-02   3.2063e-02   1.7772e-01   3.8885e-01   9.0446e-01   8.1418e-02   9.7276e-01   8.3331e-02
+#> 38:    1.0220e+02  -4.0454e+00  -2.3204e+00  -4.0207e+00  -9.3198e-01  -1.9324e-01   5.2080e+00   2.5094e-02   1.0946e-01   3.0460e-02   1.6883e-01   3.6941e-01   8.9159e-01   7.8645e-02   9.5848e-01   8.2734e-02
+#> 39:    1.0193e+02  -4.0306e+00  -2.2926e+00  -4.0131e+00  -9.3448e-01  -2.1869e-01   6.7005e+00   2.3839e-02   1.0399e-01   2.8937e-02   1.6039e-01   3.5571e-01   9.0078e-01   7.8982e-02   9.3495e-01   8.3462e-02
+#> 40:    1.0217e+02  -4.0463e+00  -2.2823e+00  -4.0209e+00  -9.2912e-01  -2.3580e-01   8.7857e+00   2.2647e-02   9.8789e-02   2.7490e-02   1.5418e-01   3.3792e-01   8.5126e-01   7.8849e-02   9.5510e-01   8.3011e-02
+#> 41:    1.0210e+02  -4.0564e+00  -2.2213e+00  -4.0041e+00  -9.4137e-01  -2.4103e-01   9.2761e+00   2.1515e-02   9.5179e-02   2.6116e-02   1.4795e-01   3.9870e-01   9.8312e-01   7.1947e-02   1.0015e+00   8.1407e-02
+#> 42:    1.0201e+02  -4.0204e+00  -2.2598e+00  -3.9984e+00  -9.4412e-01  -2.6838e-01   8.8123e+00   2.0439e-02   9.0420e-02   2.4810e-02   1.5013e-01   4.0334e-01   9.5583e-01   7.5617e-02   9.5131e-01   8.2343e-02
+#> 43:    1.0244e+02  -4.0107e+00  -2.2178e+00  -3.9923e+00  -9.4481e-01  -3.1831e-01   8.3717e+00   1.9417e-02   9.5791e-02   2.3569e-02   1.5440e-01   4.8194e-01   9.4582e-01   7.4374e-02   9.7798e-01   8.3391e-02
+#> 44:    1.0211e+02  -4.0193e+00  -2.2379e+00  -3.9784e+00  -9.2192e-01  -3.0224e-01   7.9531e+00   1.8446e-02   9.1002e-02   2.6623e-02   1.4668e-01   4.5785e-01   9.4162e-01   7.4503e-02   9.3229e-01   7.8428e-02
+#> 45:    1.0183e+02  -4.0198e+00  -2.2150e+00  -3.9966e+00  -9.6219e-01  -3.0236e-01   7.5554e+00   1.7524e-02   8.6452e-02   2.8045e-02   1.4346e-01   4.3495e-01   9.3318e-01   7.5937e-02   9.4917e-01   8.2946e-02
+#> 46:    1.0132e+02  -4.0245e+00  -2.2215e+00  -3.9954e+00  -9.4368e-01  -2.6878e-01   7.1777e+00   1.6648e-02   9.5839e-02   2.6909e-02   1.4633e-01   4.1321e-01   9.7698e-01   7.1947e-02   9.6599e-01   8.3812e-02
+#> 47:    1.0138e+02  -4.0076e+00  -2.2741e+00  -4.0047e+00  -9.0608e-01  -2.2839e-01   6.8188e+00   1.5815e-02   9.2192e-02   2.5563e-02   1.6160e-01   3.9255e-01   9.3678e-01   7.4216e-02   1.0295e+00   7.9396e-02
+#> 48:    1.0102e+02  -4.0235e+00  -2.2764e+00  -4.0123e+00  -9.1050e-01  -2.0555e-01   6.4778e+00   1.5024e-02   8.7583e-02   2.4285e-02   1.6368e-01   3.7292e-01   9.2204e-01   7.6976e-02   1.0289e+00   8.1381e-02
+#> 49:    1.0074e+02  -4.0407e+00  -2.2583e+00  -4.0142e+00  -9.2682e-01  -2.5941e-01   6.1540e+00   1.4273e-02   8.3203e-02   2.3071e-02   1.8251e-01   3.5427e-01   9.0436e-01   7.4192e-02   1.0237e+00   8.2178e-02
+#> 50:    1.0046e+02  -4.0626e+00  -2.2464e+00  -4.0201e+00  -9.3021e-01  -2.6983e-01   5.8463e+00   1.4303e-02   7.9043e-02   2.3395e-02   1.7339e-01   3.3846e-01   9.1334e-01   7.8046e-02   9.5881e-01   8.1223e-02
+#> 51:    1.0022e+02  -4.0414e+00  -2.2373e+00  -4.0107e+00  -9.2183e-01  -2.6371e-01   5.8667e+00   1.8681e-02   7.5091e-02   2.2225e-02   1.6472e-01   3.7327e-01   9.4906e-01   8.0171e-02   1.0278e+00   8.7157e-02
+#> 52:    1.0059e+02  -4.0444e+00  -2.2676e+00  -4.0263e+00  -9.1269e-01  -2.1748e-01   5.5734e+00   1.7747e-02   7.1337e-02   2.1114e-02   1.5648e-01   3.5461e-01   8.6417e-01   8.2918e-02   1.0332e+00   8.1690e-02
+#> 53:    1.0071e+02  -4.0384e+00  -2.2530e+00  -4.0171e+00  -9.2997e-01  -2.5319e-01   5.2947e+00   1.6860e-02   6.7770e-02   2.0058e-02   1.6621e-01   3.3688e-01   8.9792e-01   7.8990e-02   1.0230e+00   7.9862e-02
+#> 54:    1.0067e+02  -4.0271e+00  -2.2540e+00  -4.0251e+00  -9.2151e-01  -2.2197e-01   5.0300e+00   1.6017e-02   6.4381e-02   1.9055e-02   1.7025e-01   3.2003e-01   8.7999e-01   8.0187e-02   1.0487e+00   8.1091e-02
+#> 55:    1.0083e+02  -4.0326e+00  -2.2090e+00  -4.0230e+00  -9.2078e-01  -2.4936e-01   4.8429e+00   1.5216e-02   6.1162e-02   1.8103e-02   1.7211e-01   3.0403e-01   8.8923e-01   8.2248e-02   1.0522e+00   8.0777e-02
+#> 56:    1.0082e+02  -4.0284e+00  -2.2350e+00  -4.0083e+00  -8.9532e-01  -1.9565e-01   5.3306e+00   1.4455e-02   5.8104e-02   1.7197e-02   1.6350e-01   2.8883e-01   8.7438e-01   7.9530e-02   1.0748e+00   7.9892e-02
+#> 57:    1.0089e+02  -4.0118e+00  -2.2585e+00  -3.9924e+00  -9.5279e-01  -2.7691e-01   5.4228e+00   1.3733e-02   5.5199e-02   1.6338e-02   1.9088e-01   2.7439e-01   9.3164e-01   8.0286e-02   1.1149e+00   8.3224e-02
+#> 58:    1.0103e+02  -4.0117e+00  -2.2470e+00  -3.9628e+00  -9.5632e-01  -3.1385e-01   5.1517e+00   1.3046e-02   6.2482e-02   1.5521e-02   1.8744e-01   2.8144e-01   9.6857e-01   8.0586e-02   1.0149e+00   8.0615e-02
+#> 59:    1.0110e+02  -4.0400e+00  -2.2319e+00  -3.9749e+00  -9.3280e-01  -3.1491e-01   4.8941e+00   1.4375e-02   7.6521e-02   1.9982e-02   1.8994e-01   2.6736e-01   9.9294e-01   7.6723e-02   9.8321e-01   8.4135e-02
+#> 60:    1.0135e+02  -4.0401e+00  -2.2969e+00  -4.0006e+00  -9.3649e-01  -2.7105e-01   4.6494e+00   1.5352e-02   7.2695e-02   1.8983e-02   1.8339e-01   2.5400e-01   9.7671e-01   8.0731e-02   1.0344e+00   8.4798e-02
+#> 61:    1.0139e+02  -4.0447e+00  -2.3267e+00  -4.0036e+00  -9.2609e-01  -2.4279e-01   4.4169e+00   1.4584e-02   6.9060e-02   1.8034e-02   1.7844e-01   2.4130e-01   9.4921e-01   8.1065e-02   1.0031e+00   8.2364e-02
+#> 62:    1.0187e+02  -4.0605e+00  -2.2435e+00  -4.0093e+00  -9.4594e-01  -2.2911e-01   4.1961e+00   1.3855e-02   6.5607e-02   2.0229e-02   1.6951e-01   2.2923e-01   8.5507e-01   8.5043e-02   1.0003e+00   8.4881e-02
+#> 63:    1.0181e+02  -4.0665e+00  -2.2106e+00  -3.9954e+00  -9.5259e-01  -2.2539e-01   3.9863e+00   1.3162e-02   6.2327e-02   1.9217e-02   2.0722e-01   2.1777e-01   9.2699e-01   7.9303e-02   9.8900e-01   8.5477e-02
+#> 64:    1.0178e+02  -4.0641e+00  -2.2152e+00  -3.9904e+00  -9.7044e-01  -2.2671e-01   3.8289e+00   1.2504e-02   5.9210e-02   1.8256e-02   2.1010e-01   2.0688e-01   8.6741e-01   8.9748e-02   9.9564e-01   8.6675e-02
+#> 65:    1.0149e+02  -4.0871e+00  -2.2063e+00  -4.0000e+00  -9.7253e-01  -2.0360e-01   3.6375e+00   1.1879e-02   5.8060e-02   1.7344e-02   2.3758e-01   1.9654e-01   9.1092e-01   8.6259e-02   1.0674e+00   8.6171e-02
+#> 66:    1.0131e+02  -4.0863e+00  -2.2283e+00  -4.0026e+00  -9.6884e-01  -2.2153e-01   3.4556e+00   1.1285e-02   5.5157e-02   1.6476e-02   2.5128e-01   1.8671e-01   9.2512e-01   7.7687e-02   1.0847e+00   8.2689e-02
+#> 67:    1.0124e+02  -4.0691e+00  -2.2261e+00  -4.0021e+00  -9.2647e-01  -2.9309e-01   3.2828e+00   1.0721e-02   5.2400e-02   1.5653e-02   2.3872e-01   1.7738e-01   8.3514e-01   8.7680e-02   1.0093e+00   8.1515e-02
+#> 68:    1.0160e+02  -4.0653e+00  -2.2627e+00  -3.9685e+00  -9.5325e-01  -2.9870e-01   3.1187e+00   1.0185e-02   5.0455e-02   1.6013e-02   2.2678e-01   1.6851e-01   9.3016e-01   8.4873e-02   1.0357e+00   8.0066e-02
+#> 69:    1.0154e+02  -4.0667e+00  -2.2536e+00  -3.9686e+00  -9.8329e-01  -2.1749e-01   2.9628e+00   9.6753e-03   4.7932e-02   1.6408e-02   2.1544e-01   1.6008e-01   9.4932e-01   8.5396e-02   1.0298e+00   8.2915e-02
+#> 70:    1.0140e+02  -4.0718e+00  -2.2809e+00  -4.0031e+00  -9.7818e-01  -1.5912e-01   2.8146e+00   1.2376e-02   4.5536e-02   1.5606e-02   2.0467e-01   1.5208e-01   9.8171e-01   8.4966e-02   1.0881e+00   8.4583e-02
+#> 71:    1.0119e+02  -4.0810e+00  -2.2832e+00  -3.9945e+00  -9.7859e-01  -1.6288e-01   2.6739e+00   1.1757e-02   4.3259e-02   2.2477e-02   1.9444e-01   1.4447e-01   9.2355e-01   8.4027e-02   1.0557e+00   8.3942e-02
+#> 72:    1.0133e+02  -4.0904e+00  -2.2582e+00  -4.0034e+00  -1.0103e+00  -1.9818e-01   2.5402e+00   1.1169e-02   6.0710e-02   2.4943e-02   1.8472e-01   1.3725e-01   8.8530e-01   8.8313e-02   9.6043e-01   8.6565e-02
+#> 73:    1.0081e+02  -4.0852e+00  -2.2408e+00  -4.0324e+00  -9.8147e-01  -2.0245e-01   2.4132e+00   1.0611e-02   6.0672e-02   2.3696e-02   1.7586e-01   1.5058e-01   9.8632e-01   8.0072e-02   1.0754e+00   8.4211e-02
+#> 74:    1.0096e+02  -4.0784e+00  -2.2415e+00  -4.0085e+00  -9.6374e-01  -2.1820e-01   2.2925e+00   1.0080e-02   7.8175e-02   2.2511e-02   2.0451e-01   1.4305e-01   9.7218e-01   7.5856e-02   1.0703e+00   8.2684e-02
+#> 75:    1.0059e+02  -4.0614e+00  -2.2571e+00  -4.0069e+00  -9.6858e-01  -2.2415e-01   2.1779e+00   9.5763e-03   7.4266e-02   2.1385e-02   2.0050e-01   1.3590e-01   9.4625e-01   8.3873e-02   1.0545e+00   8.0628e-02
+#> 76:    1.0071e+02  -4.0570e+00  -2.2509e+00  -4.0111e+00  -9.4159e-01  -2.0936e-01   2.0690e+00   9.0975e-03   1.0546e-01   2.0316e-02   1.9048e-01   1.2911e-01   9.1139e-01   8.4290e-02   1.0164e+00   8.0587e-02
+#> 77:    1.0056e+02  -4.0315e+00  -2.2434e+00  -4.0068e+00  -9.1913e-01  -2.0655e-01   1.9656e+00   8.6426e-03   1.2867e-01   1.9300e-02   1.8971e-01   1.5112e-01   9.1748e-01   8.0221e-02   1.0080e+00   8.2126e-02
+#> 78:    1.0054e+02  -4.0350e+00  -2.2335e+00  -4.0109e+00  -9.4315e-01  -1.7472e-01   2.6310e+00   8.2105e-03   1.3206e-01   1.8867e-02   2.0835e-01   1.8443e-01   9.7893e-01   7.9595e-02   1.0622e+00   8.3669e-02
+#> 79:    1.0036e+02  -4.0500e+00  -2.2739e+00  -4.0223e+00  -9.6070e-01  -1.8756e-01   2.5665e+00   7.7999e-03   1.2546e-01   1.7924e-02   1.9794e-01   2.0106e-01   9.4360e-01   8.0070e-02   1.0209e+00   8.4807e-02
+#> 80:    1.0030e+02  -4.0522e+00  -2.2890e+00  -4.0149e+00  -9.2615e-01  -2.1233e-01   2.4382e+00   7.4099e-03   1.2570e-01   1.7028e-02   1.8804e-01   2.4730e-01   9.6559e-01   8.0105e-02   1.0382e+00   7.9028e-02
+#> 81:    1.0004e+02  -4.0462e+00  -2.2766e+00  -4.0158e+00  -9.0841e-01  -2.3731e-01   3.0663e+00   7.0394e-03   1.2300e-01   1.6176e-02   1.7864e-01   2.3493e-01   8.8273e-01   8.0620e-02   1.0835e+00   7.9915e-02
+#> 82:    1.0015e+02  -4.0106e+00  -2.2696e+00  -3.9845e+00  -9.2535e-01  -2.7387e-01   2.9130e+00   6.6875e-03   1.5058e-01   1.5368e-02   1.6971e-01   2.4826e-01   1.0039e+00   7.8035e-02   1.1181e+00   8.5136e-02
+#> 83:    1.0019e+02  -4.0111e+00  -2.2266e+00  -3.9884e+00  -8.8579e-01  -2.3822e-01   2.7674e+00   6.3531e-03   1.9061e-01   1.4599e-02   1.6122e-01   2.3585e-01   1.0256e+00   8.1065e-02   1.0988e+00   8.4111e-02
+#> 84:    99.9333   -4.0014   -2.2848   -3.9877   -0.8906   -0.2014    2.6290    0.0060    0.2388    0.0139    0.1532    0.2628    0.9936    0.0809    1.1059    0.0847
+#> 85:    99.6658   -4.0093   -2.2848   -3.9884   -0.8922   -0.2517    2.4976    0.0057    0.2269    0.0132    0.1455    0.2920    0.9705    0.0823    1.0458    0.0834
+#> 86:    99.8823   -4.0064   -2.2659   -4.0038   -0.9174   -0.1848    2.3727    0.0054    0.2155    0.0125    0.1382    0.2774    0.9699    0.0796    0.9808    0.0839
+#> 87:    1.0051e+02  -4.0156e+00  -2.2877e+00  -4.0160e+00  -8.9867e-01  -1.3463e-01   2.3477e+00   6.2688e-03   2.0474e-01   1.1891e-02   1.4859e-01   2.6352e-01   9.0742e-01   7.8361e-02   1.0082e+00   8.1020e-02
+#> 88:    1.0036e+02  -4.0013e+00  -2.2738e+00  -4.0184e+00  -9.1589e-01  -1.4154e-01   3.0581e+00   7.7930e-03   2.5551e-01   1.1297e-02   1.4116e-01   2.5035e-01   9.8581e-01   7.6769e-02   9.7255e-01   8.8653e-02
+#> 89:    1.0031e+02  -4.0155e+00  -2.3418e+00  -4.0080e+00  -8.8958e-01  -1.4006e-01   3.3754e+00   7.4891e-03   2.4274e-01   1.2919e-02   1.3411e-01   2.3783e-01   8.9921e-01   8.3685e-02   9.2657e-01   8.1804e-02
+#> 90:    1.0044e+02  -4.0279e+00  -2.3328e+00  -4.0081e+00  -9.1868e-01  -1.3077e-01   3.6776e+00   1.1221e-02   2.3380e-01   1.2419e-02   1.4247e-01   2.2594e-01   8.8620e-01   8.0520e-02   9.0269e-01   8.2413e-02
+#> 91:    1.0007e+02  -4.0329e+00  -2.3865e+00  -4.0145e+00  -8.9566e-01  -1.2400e-01   3.7450e+00   1.0660e-02   2.2211e-01   1.3667e-02   1.3534e-01   2.1539e-01   9.5638e-01   8.0235e-02   9.4346e-01   8.5828e-02
+#> 92:    1.0025e+02  -4.0506e+00  -2.3252e+00  -4.0445e+00  -9.2023e-01  -5.6654e-02   3.9282e+00   1.0127e-02   2.4912e-01   1.2984e-02   1.4349e-01   2.6955e-01   9.6021e-01   7.7975e-02   9.1878e-01   8.6695e-02
+#> 93:    1.0091e+02  -4.0566e+00  -2.2760e+00  -4.0422e+00  -9.2960e-01  -5.8179e-02   3.7318e+00   9.6210e-03   2.6385e-01   1.3422e-02   1.5136e-01   2.5607e-01   9.7012e-01   7.7323e-02   1.0157e+00   8.6123e-02
+#> 94:    1.0045e+02  -4.0682e+00  -2.3163e+00  -4.0391e+00  -9.3398e-01  -1.0367e-01   4.0009e+00   9.1399e-03   2.5066e-01   1.2751e-02   1.6029e-01   2.9867e-01   9.1442e-01   8.0048e-02   9.7607e-01   8.5436e-02
+#> 95:    1.0029e+02  -4.0790e+00  -2.2791e+00  -4.0470e+00  -9.4031e-01  -7.2610e-02   3.8008e+00   8.6829e-03   2.3813e-01   1.2114e-02   1.5227e-01   2.8373e-01   8.9105e-01   8.2168e-02   9.5542e-01   8.5308e-02
+#> 96:    1.0017e+02  -4.0818e+00  -2.3204e+00  -4.0507e+00  -9.2181e-01  -7.5195e-02   3.6108e+00   8.2488e-03   2.2622e-01   1.1508e-02   1.5273e-01   2.6955e-01   9.3179e-01   7.7026e-02   1.0092e+00   8.4966e-02
+#> 97:    1.0007e+02  -4.0721e+00  -2.3606e+00  -4.0453e+00  -9.4375e-01  -7.2811e-02   3.4303e+00   1.0904e-02   2.1585e-01   1.2641e-02   1.8282e-01   2.5788e-01   9.3750e-01   8.0427e-02   9.3193e-01   8.3262e-02
+#> 98:    1.0024e+02  -4.1025e+00  -2.3916e+00  -4.0401e+00  -9.6711e-01  -6.7764e-02   3.2587e+00   1.0359e-02   2.0506e-01   1.8712e-02   1.9260e-01   2.4499e-01   1.0086e+00   7.7282e-02   9.6010e-01   8.1760e-02
+#> 99:    1.0024e+02  -4.0755e+00  -2.3237e+00  -4.0581e+00  -9.5543e-01  -8.1716e-02   3.0958e+00   9.8408e-03   1.9481e-01   1.7973e-02   1.8297e-01   2.5653e-01   8.6589e-01   7.7940e-02   9.2919e-01   8.4396e-02
+#> 100:    1.0039e+02  -4.0828e+00  -2.2976e+00  -4.0616e+00  -9.8223e-01  -8.5593e-02   3.9873e+00   9.3488e-03   1.8507e-01   1.8837e-02   1.7382e-01   2.4370e-01   8.6471e-01   8.4021e-02   9.4587e-01   8.1697e-02
+#> 101:    1.0089e+02  -4.0738e+00  -2.3406e+00  -4.0465e+00  -9.4824e-01  -4.4055e-02   5.2624e+00   8.8814e-03   1.8051e-01   1.7896e-02   1.6513e-01   2.3288e-01   8.4179e-01   8.2487e-02   8.8097e-01   8.1625e-02
+#> 102:    1.0090e+02  -4.0777e+00  -2.3244e+00  -4.0500e+00  -9.4069e-01  -5.2554e-02   5.5339e+00   8.4373e-03   1.7148e-01   1.7001e-02   1.5688e-01   2.2124e-01   9.0419e-01   7.8446e-02   9.4721e-01   8.0896e-02
+#> 103:    1.0067e+02  -4.0658e+00  -2.3188e+00  -4.0312e+00  -9.5981e-01  -7.3735e-02   7.0281e+00   8.0154e-03   1.6291e-01   1.6151e-02   1.7019e-01   2.1018e-01   9.3631e-01   8.1516e-02   9.8773e-01   8.0587e-02
+#> 104:    1.0015e+02  -4.0729e+00  -2.3830e+00  -4.0458e+00  -9.4446e-01  -5.0075e-02   6.6767e+00   7.6147e-03   1.5476e-01   1.5343e-02   1.6822e-01   1.9967e-01   8.2373e-01   8.3029e-02   9.6909e-01   7.9505e-02
+#> 105:    1.0022e+02  -4.0888e+00  -2.3301e+00  -4.0411e+00  -9.5279e-01  -1.1412e-01   6.3429e+00   7.2339e-03   1.4702e-01   1.4576e-02   1.8886e-01   2.2088e-01   9.2925e-01   7.3020e-02   1.0450e+00   8.6511e-02
+#> 106:    1.0013e+02  -4.0846e+00  -2.3428e+00  -4.0530e+00  -9.1649e-01  -8.1899e-02   6.0257e+00   6.8722e-03   1.3967e-01   1.8939e-02   1.8350e-01   2.1970e-01   9.4571e-01   8.6259e-02   8.8509e-01   8.1023e-02
+#> 107:    1.0026e+02  -4.0954e+00  -2.3362e+00  -4.0586e+00  -9.6302e-01  -8.0898e-03   5.7244e+00   6.5286e-03   1.3269e-01   2.2595e-02   2.0043e-01   2.4151e-01   8.8882e-01   8.8155e-02   8.2466e-01   8.5467e-02
+#> 108:    1.0109e+02  -4.0796e+00  -2.3980e+00  -4.0841e+00  -9.5525e-01   2.0583e-02   5.4382e+00   6.2022e-03   1.2606e-01   3.4423e-02   2.2509e-01   2.3732e-01   9.0211e-01   8.1331e-02   9.2728e-01   8.4409e-02
+#> 109:    1.0091e+02  -4.0872e+00  -2.3614e+00  -4.0620e+00  -9.5950e-01  -1.8283e-02   5.1663e+00   6.1750e-03   1.1975e-01   3.2702e-02   2.1384e-01   2.2546e-01   9.7296e-01   7.7298e-02   9.7366e-01   8.3784e-02
+#> 110:    1.0137e+02  -4.0637e+00  -2.3734e+00  -4.0781e+00  -9.3874e-01  -6.0140e-03   4.9080e+00   6.5148e-03   1.1376e-01   3.1066e-02   2.0314e-01   2.3943e-01   9.2451e-01   8.4473e-02   9.7311e-01   8.4958e-02
+#> 111:    1.0181e+02  -4.0588e+00  -2.3200e+00  -4.0792e+00  -9.9395e-01  -3.1776e-02   4.6626e+00   9.9112e-03   1.0808e-01   4.1755e-02   1.9299e-01   2.9896e-01   1.0697e+00   7.1561e-02   1.0062e+00   8.8034e-02
+#> 112:    1.0222e+02  -4.0566e+00  -2.3525e+00  -4.0607e+00  -9.6055e-01  -6.3691e-02   4.4850e+00   9.4157e-03   1.0267e-01   4.0540e-02   1.8334e-01   3.5699e-01   1.0213e+00   7.5944e-02   1.0070e+00   8.3434e-02
+#> 113:    1.0189e+02  -4.0478e+00  -2.3774e+00  -4.0434e+00  -9.6638e-01  -6.7729e-02   5.1753e+00   8.9449e-03   9.7539e-02   3.8513e-02   2.0339e-01   3.4044e-01   9.5484e-01   7.7854e-02   9.8545e-01   8.1852e-02
+#> 114:    1.0225e+02  -4.0334e+00  -2.3728e+00  -4.0502e+00  -9.4795e-01  -7.3569e-02   4.9165e+00   8.8152e-03   9.2662e-02   3.7310e-02   2.0002e-01   3.2342e-01   9.3586e-01   8.1063e-02   9.5652e-01   8.3067e-02
+#> 115:    1.0196e+02  -4.0302e+00  -2.3599e+00  -4.0812e+00  -9.6783e-01   7.1536e-03   4.8473e+00   9.4780e-03   1.0791e-01   3.7184e-02   1.9002e-01   3.0725e-01   9.1488e-01   7.6079e-02   1.0104e+00   8.7136e-02
+#> 116:    1.0150e+02  -4.0420e+00  -2.3637e+00  -4.0535e+00  -9.4545e-01  -7.6387e-02   4.6049e+00   9.6408e-03   1.0251e-01   3.8115e-02   1.8052e-01   2.9189e-01   9.0583e-01   8.2597e-02   9.5680e-01   8.1246e-02
+#> 117:    1.0161e+02  -4.0606e+00  -2.3853e+00  -4.0750e+00  -9.7273e-01  -2.7338e-03   4.3747e+00   9.1587e-03   9.7386e-02   3.7863e-02   1.8701e-01   2.7729e-01   8.4511e-01   8.4164e-02   9.4149e-01   8.0525e-02
+#> 118:    1.0174e+02  -4.0727e+00  -2.3776e+00  -4.0850e+00  -9.6982e-01  -1.2188e-03   4.1560e+00   8.7008e-03   9.2516e-02   4.9300e-02   2.1364e-01   2.6343e-01   9.5447e-01   8.6627e-02   9.1835e-01   8.1284e-02
+#> 119:    1.0141e+02  -4.0887e+00  -2.3138e+00  -4.0772e+00  -9.9409e-01  -5.0120e-02   3.9482e+00   8.2658e-03   8.7891e-02   4.6835e-02   2.5364e-01   2.5026e-01   9.4576e-01   8.4355e-02   9.5762e-01   8.5430e-02
+#> 120:    1.0116e+02  -4.1014e+00  -2.3328e+00  -4.0418e+00  -9.7139e-01  -8.9664e-02   3.7508e+00   7.8525e-03   8.3496e-02   4.4493e-02   2.4096e-01   2.3774e-01   9.2816e-01   8.5558e-02   9.7817e-01   8.5169e-02
+#> 121:    1.0099e+02  -4.0876e+00  -2.3277e+00  -4.0746e+00  -9.5453e-01  -2.6752e-02   3.5632e+00   7.4598e-03   7.9321e-02   4.2269e-02   2.2891e-01   2.2586e-01   8.9613e-01   8.0488e-02   9.7590e-01   8.4798e-02
+#> 122:    1.0171e+02  -4.0620e+00  -2.3349e+00  -4.0659e+00  -9.4420e-01  -1.6907e-02   3.3851e+00   7.0869e-03   8.8424e-02   4.0155e-02   2.1747e-01   2.1456e-01   9.0159e-01   7.8017e-02   9.8579e-01   8.4585e-02
+#> 123:    1.0191e+02  -4.0708e+00  -2.3487e+00  -4.0827e+00  -9.5025e-01  -5.7459e-03   3.2158e+00   6.7325e-03   1.0499e-01   3.8147e-02   2.0659e-01   2.0384e-01   9.6378e-01   7.4758e-02   9.6268e-01   8.4712e-02
+#> 124:    1.0224e+02  -4.0798e+00  -2.2989e+00  -4.0724e+00  -9.8452e-01  -3.1802e-02   3.0550e+00   6.3959e-03   9.9739e-02   3.6240e-02   1.9626e-01   1.9364e-01   9.4424e-01   7.4219e-02   9.9842e-01   8.4793e-02
+#> 125:    1.0242e+02  -4.0710e+00  -2.3242e+00  -4.0661e+00  -1.0094e+00  -2.9970e-02   2.9023e+00   6.0761e-03   9.4752e-02   3.6130e-02   1.8645e-01   1.8396e-01   9.2576e-01   8.0533e-02   9.9407e-01   8.1660e-02
+#> 126:    1.0254e+02  -4.0685e+00  -2.3356e+00  -4.0599e+00  -1.0031e+00   4.0250e-03   2.7571e+00   5.7723e-03   1.0658e-01   3.4324e-02   1.7971e-01   1.7476e-01   9.4870e-01   7.4027e-02   9.2757e-01   8.3091e-02
+#> 127:    1.0270e+02  -4.0492e+00  -2.3174e+00  -4.0476e+00  -9.9898e-01  -6.3197e-02   2.6193e+00   5.4837e-03   1.0746e-01   3.2607e-02   1.7072e-01   1.6603e-01   9.0721e-01   7.7941e-02   9.4624e-01   8.1077e-02
+#> 128:    1.0284e+02  -4.0582e+00  -2.2991e+00  -4.0331e+00  -9.9114e-01  -5.6800e-02   2.4883e+00   5.2095e-03   1.2321e-01   3.1304e-02   1.6219e-01   1.5772e-01   8.7403e-01   8.4147e-02   8.9187e-01   8.5089e-02
+#> 129:    1.0275e+02  -4.0773e+00  -2.2935e+00  -4.0389e+00  -9.9661e-01  -7.4747e-02   2.3639e+00   4.9922e-03   1.1705e-01   2.9738e-02   1.9667e-01   1.4984e-01   9.1481e-01   8.4947e-02   9.3224e-01   8.5270e-02
+#> 130:    1.0222e+02  -4.0835e+00  -2.3177e+00  -4.0343e+00  -1.0044e+00  -7.6530e-02   2.2457e+00   4.7426e-03   1.1120e-01   3.1348e-02   2.0663e-01   1.4235e-01   1.0173e+00   7.4769e-02   9.9905e-01   8.6058e-02
+#> 131:    1.0202e+02  -4.0767e+00  -2.2497e+00  -4.0270e+00  -1.0015e+00  -1.4868e-01   2.1334e+00   5.5790e-03   1.0564e-01   2.9781e-02   2.1254e-01   1.3523e-01   1.0223e+00   7.7587e-02   9.4151e-01   8.4206e-02
+#> 132:    1.0191e+02  -4.0756e+00  -2.2363e+00  -4.0081e+00  -9.7264e-01  -2.0991e-01   2.0268e+00   5.3000e-03   1.0184e-01   2.8291e-02   2.0191e-01   1.7667e-01   9.2404e-01   7.9813e-02   9.2266e-01   8.6307e-02
+#> 133:    1.0187e+02  -4.0743e+00  -2.1951e+00  -4.0196e+00  -9.7534e-01  -1.8742e-01   1.9254e+00   5.0350e-03   9.6744e-02   2.6877e-02   1.9181e-01   1.6784e-01   1.0007e+00   8.2043e-02   1.0028e+00   8.3921e-02
+#> 134:    1.0182e+02  -4.0731e+00  -2.2321e+00  -4.0041e+00  -9.2800e-01  -1.4985e-01   1.8291e+00   4.7833e-03   9.1906e-02   2.7751e-02   1.8222e-01   1.6415e-01   9.7093e-01   7.5558e-02   9.8455e-01   8.4921e-02
+#> 135:    1.0188e+02  -4.0724e+00  -2.2774e+00  -4.0213e+00  -9.3930e-01  -1.7385e-01   1.7377e+00   4.5441e-03   8.7311e-02   2.6363e-02   1.7311e-01   1.5594e-01   9.4053e-01   8.3922e-02   9.8689e-01   8.1203e-02
+#> 136:    1.0202e+02  -4.0712e+00  -2.2711e+00  -4.0128e+00  -9.8747e-01  -1.3610e-01   1.6508e+00   4.3169e-03   1.0383e-01   2.5045e-02   1.8004e-01   1.4814e-01   9.6497e-01   8.1397e-02   1.0782e+00   8.2539e-02
+#> 137:    1.0228e+02  -4.0676e+00  -2.2403e+00  -4.0069e+00  -9.7761e-01  -1.5314e-01   1.5683e+00   4.1011e-03   1.0931e-01   2.4722e-02   1.8328e-01   1.4074e-01   9.8300e-01   7.5906e-02   1.0221e+00   8.2306e-02
+#> 138:    1.0229e+02  -4.0654e+00  -2.2510e+00  -3.9908e+00  -1.0400e+00  -1.4173e-01   1.4899e+00   4.2166e-03   1.3448e-01   2.3486e-02   1.8272e-01   1.3370e-01   1.0305e+00   8.0580e-02   1.0988e+00   8.3512e-02
+#> 139:    1.0258e+02  -4.0599e+00  -2.2207e+00  -3.9622e+00  -1.0058e+00  -2.6676e-01   1.4154e+00   4.0057e-03   1.5190e-01   2.2312e-02   1.7359e-01   1.2702e-01   9.6425e-01   8.6887e-02   1.0373e+00   8.3853e-02
+#> 140:    1.0224e+02  -4.0665e+00  -2.2479e+00  -4.0063e+00  -1.0054e+00  -1.6109e-01   1.3446e+00   3.8054e-03   1.4430e-01   2.4389e-02   1.6697e-01   1.2066e-01   9.9245e-01   8.3900e-02   1.1218e+00   8.2527e-02
+#> 141:    1.0245e+02  -4.0843e+00  -2.2024e+00  -3.9657e+00  -1.0057e+00  -2.4900e-01   1.2774e+00   3.6152e-03   1.3709e-01   2.3170e-02   1.8559e-01   1.1463e-01   9.4091e-01   8.7616e-02   1.0760e+00   8.1871e-02
+#> 142:    1.0253e+02  -4.0972e+00  -2.1943e+00  -3.9649e+00  -1.0160e+00  -2.9535e-01   1.2135e+00   3.4344e-03   1.6892e-01   2.2011e-02   1.7631e-01   1.0890e-01   9.2146e-01   9.0207e-02   1.0645e+00   8.5078e-02
+#> 143:    1.0252e+02  -4.1005e+00  -2.1652e+00  -3.9687e+00  -1.0445e+00  -2.4274e-01   2.0559e+00   3.9136e-03   1.6047e-01   2.0911e-02   1.6750e-01   1.0345e-01   9.0785e-01   8.5522e-02   1.1734e+00   8.5544e-02
+#> 144:    1.0257e+02  -4.1199e+00  -2.1994e+00  -3.9618e+00  -1.0480e+00  -2.0099e-01   1.9531e+00   4.2739e-03   1.5745e-01   1.9865e-02   1.6053e-01   9.8282e-02   9.3710e-01   8.5496e-02   1.0597e+00   8.4335e-02
+#> 145:    1.0282e+02  -4.1356e+00  -2.1489e+00  -3.9708e+00  -1.0268e+00  -2.2250e-01   1.8554e+00   4.0602e-03   1.7177e-01   1.8872e-02   1.5251e-01   9.3368e-02   9.5312e-01   8.3609e-02   1.0695e+00   8.3492e-02
+#> 146:    1.0282e+02  -4.1443e+00  -2.2103e+00  -3.9821e+00  -1.0080e+00  -2.2414e-01   1.7627e+00   4.0693e-03   1.6460e-01   1.7928e-02   1.5576e-01   8.8699e-02   9.8656e-01   8.4549e-02   1.0251e+00   7.9572e-02
+#> 147:    1.0295e+02  -4.1363e+00  -2.1920e+00  -3.9828e+00  -1.0567e+00  -1.9047e-01   1.6745e+00   3.8659e-03   1.6104e-01   1.7032e-02   1.6551e-01   8.4264e-02   9.4144e-01   8.7085e-02   1.0623e+00   8.1949e-02
+#> 148:    1.0299e+02  -4.1336e+00  -2.1967e+00  -3.9921e+00  -1.0425e+00  -1.7466e-01   1.7992e+00   3.6726e-03   1.5298e-01   1.9937e-02   1.9453e-01   8.0051e-02   9.9498e-01   8.3001e-02   1.0884e+00   8.1599e-02
+#> 149:    1.0292e+02  -4.1282e+00  -2.2741e+00  -4.0028e+00  -1.0650e+00  -1.4879e-01   2.1425e+00   3.4890e-03   1.4534e-01   1.8941e-02   2.0240e-01   7.6049e-02   1.0080e+00   7.9550e-02   1.1679e+00   7.9115e-02
+#> 150:    1.0302e+02  -4.1402e+00  -2.2769e+00  -4.0056e+00  -1.0488e+00  -1.2845e-01   2.7814e+00   3.3145e-03   1.3807e-01   2.0220e-02   1.9228e-01   7.2246e-02   9.9253e-01   8.0215e-02   1.0075e+00   8.2295e-02
+#> 151:    1.0304e+02  -4.1281e+00  -2.2250e+00  -4.0169e+00  -1.0448e+00  -1.4468e-01   2.6423e+00   3.1488e-03   1.3117e-01   2.1298e-02   1.8267e-01   6.8634e-02   1.0207e+00   8.0317e-02   1.0813e+00   8.5492e-02
+#> 152:    1.0321e+02  -4.1291e+00  -2.2281e+00  -4.0180e+00  -1.0232e+00  -1.4990e-01   1.6327e+00   2.8585e-03   1.0498e-01   1.8944e-02   1.6146e-01   5.0784e-02   9.5663e-01   7.9113e-02   1.1344e+00   8.2687e-02
+#> 153:    1.0309e+02  -4.1280e+00  -2.2030e+00  -4.0149e+00  -1.0198e+00  -1.3442e-01   1.6757e+00   3.4142e-03   9.0693e-02   2.2471e-02   1.6167e-01   3.6279e-02   9.6659e-01   8.1655e-02   1.0345e+00   8.6113e-02
+#> 154:    1.0298e+02  -4.1506e+00  -2.2176e+00  -3.9851e+00  -1.0417e+00  -1.6429e-01   1.9656e+00   3.3408e-03   9.5697e-02   2.1721e-02   1.6754e-01   2.9142e-02   1.0379e+00   7.9957e-02   1.0132e+00   8.5327e-02
+#> 155:    1.0328e+02  -4.1204e+00  -2.2287e+00  -3.9772e+00  -1.0135e+00  -2.0459e-01   1.9195e+00   3.3987e-03   1.0293e-01   1.6897e-02   1.9470e-01   2.0826e-02   9.4310e-01   8.0528e-02   1.0639e+00   8.1926e-02
+#> 156:    1.0338e+02  -4.1272e+00  -2.1962e+00  -3.9743e+00  -1.0491e+00  -1.8971e-01   1.7194e+00   3.2287e-03   7.8468e-02   1.8220e-02   1.8015e-01   2.0956e-02   9.2992e-01   8.6295e-02   9.5939e-01   8.1945e-02
+#> 157:    1.0331e+02  -4.1188e+00  -2.1783e+00  -3.9779e+00  -1.0506e+00  -1.9810e-01   1.1127e+00   2.7176e-03   6.1234e-02   1.3748e-02   2.0147e-01   3.4800e-02   9.3006e-01   8.4794e-02   1.0579e+00   8.1604e-02
+#> 158:    1.0326e+02  -4.1162e+00  -2.1734e+00  -3.9827e+00  -1.0632e+00  -2.0171e-01   1.3289e+00   2.7407e-03   7.1465e-02   1.2306e-02   2.1511e-01   3.4923e-02   8.9200e-01   8.4554e-02   1.1179e+00   8.2301e-02
+#> 159:    1.0358e+02  -4.1075e+00  -2.2069e+00  -3.9725e+00  -1.0445e+00  -1.8044e-01   1.6656e+00   2.5282e-03   6.4340e-02   1.3587e-02   2.0355e-01   2.7629e-02   8.9557e-01   8.3727e-02   1.0560e+00   8.0934e-02
+#> 160:    1.0364e+02  -4.1182e+00  -2.1514e+00  -3.9750e+00  -1.0378e+00  -2.2449e-01   1.8413e+00   3.5609e-03   7.2072e-02   1.5648e-02   2.0999e-01   3.1283e-02   9.1468e-01   8.2340e-02   1.0016e+00   8.0955e-02
+#> 161:    1.0387e+02  -4.0964e+00  -2.1926e+00  -3.9808e+00  -1.0397e+00  -2.5178e-01   2.3706e+00   2.4158e-03   7.4658e-02   1.7789e-02   1.8587e-01   3.1647e-02   8.8257e-01   8.4503e-02   9.5909e-01   8.2216e-02
+#> 162:    1.0399e+02  -4.0992e+00  -2.2056e+00  -3.9647e+00  -1.0388e+00  -2.4824e-01   1.9736e+00   2.2302e-03   1.0445e-01   1.9729e-02   1.9531e-01   2.9879e-02   8.3560e-01   8.6622e-02   9.5407e-01   7.9625e-02
+#> 163:    1.0366e+02  -4.0956e+00  -2.1684e+00  -3.9612e+00  -1.0058e+00  -2.6882e-01   2.5872e+00   1.6246e-03   8.1892e-02   2.2777e-02   2.2429e-01   2.8371e-02   8.4799e-01   9.0947e-02   9.5842e-01   8.2649e-02
+#> 164:    1.0325e+02  -4.0878e+00  -2.1946e+00  -3.9781e+00  -9.8890e-01  -2.6917e-01   2.0805e+00   1.3401e-03   8.2477e-02   2.6550e-02   1.8386e-01   2.4255e-02   8.5728e-01   8.9778e-02   9.1439e-01   7.9784e-02
+#> 165:    1.0282e+02  -4.0801e+00  -2.1928e+00  -3.9664e+00  -9.9558e-01  -2.6059e-01   1.4087e+00   1.2155e-03   5.8081e-02   2.3833e-02   2.1871e-01   2.0911e-02   8.6998e-01   8.9895e-02   9.9363e-01   8.0284e-02
+#> 166:    1.0285e+02  -4.0942e+00  -2.1855e+00  -3.9889e+00  -1.0234e+00  -2.4125e-01   8.5034e-01   6.8919e-04   6.5725e-02   2.3045e-02   2.1221e-01   2.6083e-02   8.7024e-01   9.4598e-02   9.5824e-01   8.3361e-02
+#> 167:    1.0267e+02  -4.0904e+00  -2.2131e+00  -3.9917e+00  -9.9055e-01  -2.1449e-01   9.1382e-01   4.6145e-04   8.1337e-02   2.2154e-02   2.1431e-01   2.7524e-02   8.4730e-01   8.3563e-02   9.9458e-01   8.0138e-02
+#> 168:    1.0249e+02  -4.0954e+00  -2.2174e+00  -3.9868e+00  -9.9799e-01  -1.8848e-01   6.5737e-01   4.2757e-04   6.9428e-02   2.8833e-02   2.0256e-01   4.1573e-02   9.8269e-01   7.6264e-02   1.0011e+00   8.1357e-02
+#> 169:    1.0252e+02  -4.0995e+00  -2.2132e+00  -3.9792e+00  -9.8661e-01  -2.2724e-01   5.4553e-01   3.9691e-04   4.2460e-02   2.7545e-02   2.2594e-01   4.9079e-02   9.6027e-01   8.1006e-02   1.0261e+00   8.5194e-02
+#> 170:    1.0246e+02  -4.1056e+00  -2.2389e+00  -3.9785e+00  -1.0354e+00  -2.4212e-01   4.5653e-01   2.8583e-04   2.8936e-02   2.5026e-02   1.8496e-01   4.3514e-02   9.2689e-01   9.6050e-02   9.9096e-01   8.3466e-02
+#> 171:    1.0238e+02  -4.1027e+00  -2.2592e+00  -3.9859e+00  -1.0106e+00  -2.3962e-01   5.1080e-01   2.6715e-04   3.2138e-02   2.7859e-02   1.6505e-01   6.2560e-02   9.1886e-01   9.0993e-02   9.4634e-01   8.3542e-02
+#> 172:    1.0242e+02  -4.0998e+00  -2.2415e+00  -3.9999e+00  -1.0234e+00  -2.2610e-01   5.1154e-01   1.8668e-04   2.2768e-02   2.9930e-02   2.0056e-01   7.5570e-02   9.4948e-01   8.4742e-02   9.1357e-01   8.3596e-02
+#> 173:    1.0232e+02  -4.1005e+00  -2.2382e+00  -4.0022e+00  -1.0017e+00  -1.8406e-01   3.2169e-01   2.0484e-04   2.4102e-02   2.9249e-02   2.0445e-01   1.1517e-01   9.5169e-01   8.3951e-02   9.0402e-01   8.3130e-02
+#> 174:    1.0233e+02  -4.0990e+00  -2.2337e+00  -3.9975e+00  -1.0298e+00  -1.8028e-01   4.2668e-01   2.1409e-04   2.4350e-02   2.4159e-02   2.0114e-01   1.4344e-01   9.3446e-01   8.6704e-02   9.6511e-01   8.3994e-02
+#> 175:    1.0236e+02  -4.0991e+00  -2.2315e+00  -3.9883e+00  -1.0110e+00  -2.2190e-01   4.1564e-01   2.5844e-04   3.5664e-02   2.1844e-02   2.0315e-01   1.2876e-01   8.9006e-01   8.3016e-02   9.2369e-01   8.0410e-02
+#> 176:    1.0222e+02  -4.0983e+00  -2.1991e+00  -3.9924e+00  -1.0148e+00  -2.3133e-01   1.7684e-01   2.5312e-04   5.3516e-02   2.2568e-02   2.0010e-01   1.0721e-01   8.9884e-01   7.6042e-02   1.0110e+00   7.9890e-02
+#> 177:    1.0219e+02  -4.1022e+00  -2.2129e+00  -3.9804e+00  -1.0286e+00  -1.9916e-01   1.9962e-01   3.0338e-04   6.9476e-02   2.0133e-02   1.8707e-01   1.0631e-01   8.7419e-01   8.3199e-02   9.5450e-01   8.2626e-02
+#> 178:    1.0225e+02  -4.1022e+00  -2.2135e+00  -4.0057e+00  -1.0264e+00  -2.2859e-01   2.1742e-01   2.9489e-04   5.1238e-02   2.2227e-02   1.7924e-01   1.4496e-01   8.5487e-01   8.3885e-02   9.7315e-01   8.1406e-02
+#> 179:    1.0234e+02  -4.1015e+00  -2.2170e+00  -3.9999e+00  -1.0177e+00  -2.0895e-01   2.1196e-01   3.0802e-04   5.7417e-02   2.6776e-02   1.7214e-01   1.5197e-01   8.8641e-01   7.7789e-02   9.2725e-01   8.1277e-02
+#> 180:    1.0243e+02  -4.1034e+00  -2.2337e+00  -4.0000e+00  -1.0018e+00  -2.3492e-01   2.0521e-01   3.1261e-04   6.0162e-02   2.7277e-02   1.7524e-01   1.6673e-01   8.8472e-01   7.8939e-02   9.1311e-01   8.3794e-02
+#> 181:    1.0244e+02  -4.1031e+00  -2.2415e+00  -3.9951e+00  -9.9356e-01  -1.9938e-01   1.4850e-01   2.7894e-04   5.5244e-02   3.2404e-02   2.0701e-01   2.1022e-01   8.7495e-01   8.1883e-02   9.7574e-01   8.4575e-02
+#> 182:    1.0245e+02  -4.1066e+00  -2.2849e+00  -4.0083e+00  -1.0260e+00  -1.9418e-01   1.0783e-01   1.7359e-04   2.9632e-02   3.2098e-02   2.0294e-01   1.7919e-01   9.0795e-01   9.1179e-02   9.8651e-01   8.3561e-02
+#> 183:    1.0248e+02  -4.1066e+00  -2.2844e+00  -4.0201e+00  -1.0102e+00  -1.5510e-01   9.2727e-02   1.4337e-04   2.8436e-02   4.3941e-02   1.9683e-01   2.1943e-01   9.0334e-01   8.2113e-02   8.9037e-01   8.4506e-02
+#> 184:    1.0239e+02  -4.1032e+00  -2.2726e+00  -4.0270e+00  -1.0162e+00  -1.4921e-01   9.0062e-02   1.0820e-04   3.5099e-02   4.7338e-02   1.8488e-01   2.2174e-01   9.1525e-01   7.9986e-02   8.6762e-01   8.4376e-02
+#> 185:    1.0240e+02  -4.1028e+00  -2.3201e+00  -4.0248e+00  -9.8758e-01  -1.7235e-01   9.2455e-02   8.9653e-05   4.7097e-02   4.5964e-02   1.9093e-01   1.9093e-01   9.5192e-01   7.6980e-02   9.4058e-01   8.2740e-02
+#> 186:    1.0250e+02  -4.1020e+00  -2.3095e+00  -4.0326e+00  -9.9767e-01  -1.2041e-01   1.0792e-01   7.3472e-05   3.6352e-02   4.6680e-02   1.7527e-01   1.7411e-01   9.6831e-01   8.3088e-02   9.7978e-01   8.1096e-02
+#> 187:    1.0254e+02  -4.1022e+00  -2.3078e+00  -4.0329e+00  -1.0166e+00  -1.1644e-01   8.2987e-02   7.9222e-05   3.8388e-02   6.0452e-02   2.3498e-01   1.7389e-01   1.0450e+00   8.0354e-02   9.7366e-01   8.2504e-02
+#> 188:    1.0253e+02  -4.1022e+00  -2.3172e+00  -4.0401e+00  -1.0276e+00  -8.2442e-02   8.3913e-02   7.1884e-05   4.3025e-02   4.8383e-02   1.9392e-01   1.6073e-01   9.7466e-01   7.5977e-02   9.0319e-01   8.4648e-02
+#> 189:    1.0256e+02  -4.1013e+00  -2.3037e+00  -4.0402e+00  -1.0004e+00  -1.5946e-01   9.6273e-02   8.0773e-05   4.6130e-02   5.2356e-02   2.1044e-01   2.0403e-01   9.2931e-01   8.2686e-02   9.0103e-01   8.5442e-02
+#> 190:    1.0245e+02  -4.1021e+00  -2.3143e+00  -4.0314e+00  -9.9314e-01  -8.5545e-02   8.0660e-02   7.3369e-05   4.1713e-02   4.4940e-02   1.7715e-01   1.6886e-01   9.7982e-01   8.1720e-02   8.9868e-01   8.4964e-02
+#> 191:    1.0251e+02  -4.1021e+00  -2.2849e+00  -4.0229e+00  -1.0346e+00  -9.0261e-02   6.1956e-02   9.4824e-05   5.8037e-02   4.0685e-02   1.8455e-01   2.2838e-01   9.9679e-01   7.7457e-02   9.4591e-01   8.5446e-02
+#> 192:    1.0249e+02  -4.1012e+00  -2.2915e+00  -4.0452e+00  -1.0323e+00  -1.1123e-01   5.1409e-02   1.1452e-04   7.2457e-02   3.6376e-02   1.6706e-01   2.1050e-01   8.7970e-01   8.6881e-02   9.2230e-01   8.6563e-02
+#> 193:    1.0249e+02  -4.1011e+00  -2.3104e+00  -4.0569e+00  -1.0032e+00  -2.9383e-02   4.2462e-02   9.6872e-05   4.9405e-02   4.6840e-02   1.7348e-01   1.4473e-01   9.1758e-01   8.1380e-02   1.0057e+00   8.4481e-02
+#> 194:    1.0250e+02  -4.1009e+00  -2.2960e+00  -4.0567e+00  -9.9145e-01  -1.0640e-01   2.6698e-02   5.3298e-05   4.3880e-02   5.1866e-02   2.0619e-01   1.4008e-01   9.8306e-01   8.0320e-02   9.8405e-01   8.0106e-02
+#> 195:    1.0252e+02  -4.1001e+00  -2.2779e+00  -4.0677e+00  -9.9960e-01  -5.5605e-02   1.9114e-02   5.6472e-05   4.5810e-02   5.1552e-02   1.8363e-01   1.2037e-01   9.9334e-01   8.2093e-02   9.9128e-01   8.3930e-02
+#> 196:    1.0251e+02  -4.0988e+00  -2.2515e+00  -4.0555e+00  -9.9701e-01  -1.0235e-01   1.3362e-02   3.2648e-05   4.0337e-02   4.4117e-02   1.9469e-01   1.2907e-01   9.1150e-01   8.5071e-02   9.7929e-01   8.2761e-02
+#> 197:    1.0253e+02  -4.0985e+00  -2.2589e+00  -4.0427e+00  -1.0251e+00  -9.4695e-02   1.7104e-02   2.3125e-05   4.1773e-02   3.3831e-02   2.1013e-01   1.3727e-01   9.1462e-01   8.1836e-02   9.7695e-01   8.1326e-02
+#> 198:    1.0253e+02  -4.0992e+00  -2.2745e+00  -4.0327e+00  -9.8743e-01  -1.4108e-01   9.3331e-03   2.3064e-05   3.7271e-02   2.7379e-02   2.1190e-01   9.3733e-02   9.0916e-01   8.4247e-02   9.8720e-01   7.7405e-02
+#> 199:    1.0251e+02  -4.0981e+00  -2.2770e+00  -4.0275e+00  -1.0216e+00  -1.3364e-01   8.3776e-03   2.3195e-05   4.6827e-02   3.2861e-02   1.9817e-01   8.7748e-02   9.1184e-01   8.3773e-02   9.5209e-01   7.9056e-02
+#> 200:    1.0252e+02  -4.0992e+00  -2.2757e+00  -4.0277e+00  -9.9266e-01  -8.4583e-02   6.8073e-03   2.9414e-05   5.3404e-02   2.5942e-02   1.9915e-01   7.4937e-02   8.7168e-01   8.5197e-02   9.3606e-01   8.0739e-02
+#> 201:    1.0252e+02  -4.0989e+00  -2.2706e+00  -4.0333e+00  -9.8978e-01  -8.7996e-02   5.9272e-03   2.4268e-05   5.4295e-02   2.9276e-02   2.0543e-01   7.1533e-02   9.0557e-01   8.3204e-02   9.4913e-01   8.0398e-02
+#> 202:    1.0251e+02  -4.0990e+00  -2.2661e+00  -4.0324e+00  -9.8785e-01  -9.8008e-02   5.7831e-03   2.1967e-05   5.7627e-02   3.0606e-02   2.1414e-01   6.9475e-02   9.2255e-01   8.2143e-02   9.5633e-01   8.1333e-02
+#> 203:    1.0251e+02  -4.0992e+00  -2.2586e+00  -4.0297e+00  -9.9017e-01  -1.1012e-01   6.4046e-03   2.2234e-05   5.7955e-02   3.0102e-02   2.0473e-01   6.8225e-02   9.2900e-01   8.3228e-02   9.5862e-01   8.1460e-02
+#> 204:    1.0251e+02  -4.0995e+00  -2.2570e+00  -4.0280e+00  -9.9135e-01  -1.0718e-01   6.5386e-03   2.2043e-05   5.6949e-02   2.9096e-02   2.0562e-01   6.8687e-02   9.3306e-01   8.2703e-02   9.6581e-01   8.1671e-02
+#> 205:    1.0250e+02  -4.0997e+00  -2.2569e+00  -4.0256e+00  -9.9350e-01  -1.1491e-01   6.1521e-03   2.2570e-05   5.5450e-02   2.8152e-02   2.0423e-01   7.2820e-02   9.2469e-01   8.3272e-02   9.7372e-01   8.0814e-02
+#> 206:    1.0250e+02  -4.0997e+00  -2.2567e+00  -4.0269e+00  -9.9869e-01  -1.1438e-01   5.9720e-03   2.3307e-05   5.5103e-02   2.8506e-02   2.0414e-01   7.8225e-02   9.2768e-01   8.3328e-02   9.8294e-01   8.0918e-02
+#> 207:    1.0250e+02  -4.0998e+00  -2.2657e+00  -4.0311e+00  -1.0000e+00  -1.0595e-01   6.0030e-03   2.4031e-05   5.4378e-02   2.9468e-02   2.0222e-01   8.1455e-02   9.3397e-01   8.3285e-02   9.8989e-01   8.0967e-02
+#> 208:    1.0250e+02  -4.0999e+00  -2.2759e+00  -4.0330e+00  -1.0001e+00  -9.6916e-02   5.9586e-03   2.3690e-05   5.3811e-02   2.9674e-02   1.9979e-01   8.1206e-02   9.3593e-01   8.4094e-02   9.8891e-01   8.1107e-02
+#> 209:    1.0250e+02  -4.0998e+00  -2.2836e+00  -4.0344e+00  -1.0016e+00  -8.9119e-02   5.6137e-03   2.3512e-05   5.4159e-02   2.9780e-02   1.9778e-01   8.2635e-02   9.4080e-01   8.3757e-02   9.9062e-01   8.0979e-02
+#> 210:    1.0251e+02  -4.0998e+00  -2.2898e+00  -4.0334e+00  -1.0017e+00  -8.3861e-02   5.2428e-03   2.3117e-05   5.4271e-02   2.9112e-02   1.9539e-01   8.3602e-02   9.4410e-01   8.4262e-02   9.8944e-01   8.1260e-02
+#> 211:    1.0251e+02  -4.0998e+00  -2.2968e+00  -4.0329e+00  -9.9953e-01  -8.2036e-02   4.9312e-03   2.2863e-05   5.5392e-02   2.8432e-02   1.9466e-01   8.3724e-02   9.5395e-01   8.4317e-02   9.9876e-01   8.1402e-02
+#> 212:    1.0251e+02  -4.0997e+00  -2.2982e+00  -4.0327e+00  -1.0018e+00  -8.2942e-02   4.6622e-03   2.3364e-05   5.5864e-02   2.7552e-02   1.9313e-01   8.3815e-02   9.5374e-01   8.4223e-02   1.0049e+00   8.1479e-02
+#> 213:    1.0251e+02  -4.0995e+00  -2.2996e+00  -4.0322e+00  -1.0027e+00  -8.4931e-02   4.4988e-03   2.4085e-05   5.6000e-02   2.6729e-02   1.9184e-01   8.3522e-02   9.5091e-01   8.4321e-02   1.0026e+00   8.1310e-02
+#> 214:    1.0251e+02  -4.0994e+00  -2.2997e+00  -4.0326e+00  -1.0033e+00  -8.7810e-02   4.3582e-03   2.5253e-05   5.6470e-02   2.6179e-02   1.9110e-01   8.5338e-02   9.5311e-01   8.4118e-02   1.0062e+00   8.1320e-02
+#> 215:    1.0251e+02  -4.0993e+00  -2.3013e+00  -4.0331e+00  -1.0042e+00  -8.5053e-02   4.3765e-03   2.6370e-05   5.6978e-02   2.5984e-02   1.8960e-01   8.6633e-02   9.5505e-01   8.3787e-02   1.0092e+00   8.1298e-02
+#> 216:    1.0251e+02  -4.0993e+00  -2.3032e+00  -4.0320e+00  -1.0033e+00  -8.5521e-02   4.4127e-03   2.7607e-05   5.7092e-02   2.5514e-02   1.8916e-01   8.8986e-02   9.5571e-01   8.3655e-02   1.0106e+00   8.1177e-02
+#> 217:    1.0251e+02  -4.0993e+00  -2.3050e+00  -4.0309e+00  -1.0039e+00  -8.5267e-02   4.4663e-03   2.8101e-05   5.7536e-02   2.5186e-02   1.8803e-01   9.0776e-02   9.5624e-01   8.3792e-02   1.0100e+00   8.1214e-02
+#> 218:    1.0251e+02  -4.0993e+00  -2.3068e+00  -4.0309e+00  -1.0052e+00  -8.3353e-02   4.4833e-03   2.7541e-05   5.7391e-02   2.4589e-02   1.8691e-01   9.4302e-02   9.5168e-01   8.4114e-02   1.0124e+00   8.1211e-02
+#> 219:    1.0251e+02  -4.0993e+00  -2.3077e+00  -4.0316e+00  -1.0049e+00  -8.0885e-02   4.4529e-03   2.6825e-05   5.7273e-02   2.3909e-02   1.8700e-01   9.6040e-02   9.4675e-01   8.4115e-02   1.0115e+00   8.1075e-02
+#> 220:    1.0251e+02  -4.0993e+00  -2.3095e+00  -4.0327e+00  -1.0051e+00  -7.6386e-02   4.5217e-03   2.6724e-05   5.7342e-02   2.3648e-02   1.8752e-01   9.7466e-02   9.4316e-01   8.4134e-02   1.0099e+00   8.1206e-02
+#> 221:    1.0251e+02  -4.0993e+00  -2.3120e+00  -4.0339e+00  -1.0050e+00  -7.3314e-02   4.5361e-03   2.6133e-05   5.7387e-02   2.3612e-02   1.8744e-01   9.9108e-02   9.4164e-01   8.4073e-02   1.0096e+00   8.1143e-02
+#> 222:    1.0251e+02  -4.0993e+00  -2.3136e+00  -4.0355e+00  -1.0049e+00  -6.8041e-02   4.5806e-03   2.5728e-05   5.7827e-02   2.3466e-02   1.8681e-01   9.9150e-02   9.4237e-01   8.3991e-02   1.0116e+00   8.1192e-02
+#> 223:    1.0251e+02  -4.0993e+00  -2.3144e+00  -4.0364e+00  -1.0047e+00  -6.6770e-02   4.5349e-03   2.5412e-05   5.8823e-02   2.3232e-02   1.8728e-01   9.9882e-02   9.4051e-01   8.3808e-02   1.0097e+00   8.1028e-02
+#> 224:    1.0251e+02  -4.0992e+00  -2.3155e+00  -4.0373e+00  -1.0040e+00  -6.4487e-02   4.4985e-03   2.5094e-05   6.0294e-02   2.3022e-02   1.8652e-01   1.0114e-01   9.3800e-01   8.3696e-02   1.0099e+00   8.0990e-02
+#> 225:    1.0251e+02  -4.0992e+00  -2.3167e+00  -4.0384e+00  -1.0041e+00  -6.2966e-02   4.4783e-03   2.4741e-05   6.0569e-02   2.2900e-02   1.8622e-01   1.0072e-01   9.3574e-01   8.3833e-02   1.0075e+00   8.0893e-02
+#> 226:    1.0251e+02  -4.0993e+00  -2.3173e+00  -4.0395e+00  -1.0036e+00  -6.0541e-02   4.4466e-03   2.4601e-05   6.0661e-02   2.2897e-02   1.8544e-01   1.0160e-01   9.3842e-01   8.3565e-02   1.0064e+00   8.1006e-02
+#> 227:    1.0251e+02  -4.0993e+00  -2.3183e+00  -4.0403e+00  -1.0028e+00  -5.9061e-02   4.4290e-03   2.4610e-05   6.1093e-02   2.2836e-02   1.8582e-01   1.0184e-01   9.3983e-01   8.3421e-02   1.0066e+00   8.1225e-02
+#> 228:    1.0251e+02  -4.0993e+00  -2.3190e+00  -4.0405e+00  -1.0027e+00  -5.8994e-02   4.4377e-03   2.4228e-05   6.0957e-02   2.2540e-02   1.8424e-01   1.0104e-01   9.4056e-01   8.3559e-02   1.0085e+00   8.1266e-02
+#> 229:    1.0251e+02  -4.0993e+00  -2.3206e+00  -4.0398e+00  -1.0026e+00  -5.9258e-02   4.5021e-03   2.3801e-05   6.0331e-02   2.2380e-02   1.8409e-01   9.9681e-02   9.4320e-01   8.3678e-02   1.0111e+00   8.1236e-02
+#> 230:    1.0251e+02  -4.0994e+00  -2.3217e+00  -4.0401e+00  -1.0028e+00  -5.7766e-02   4.5320e-03   2.3519e-05   5.9913e-02   2.2317e-02   1.8484e-01   9.9325e-02   9.4418e-01   8.3884e-02   1.0144e+00   8.1294e-02
+#> 231:    1.0251e+02  -4.0994e+00  -2.3223e+00  -4.0400e+00  -1.0036e+00  -5.7213e-02   4.6519e-03   2.3658e-05   5.9386e-02   2.2185e-02   1.8526e-01   9.8374e-02   9.4356e-01   8.4167e-02   1.0171e+00   8.1315e-02
+#> 232:    1.0251e+02  -4.0994e+00  -2.3231e+00  -4.0400e+00  -1.0045e+00  -5.5248e-02   4.7067e-03   2.3117e-05   5.9583e-02   2.2248e-02   1.8574e-01   9.7396e-02   9.4340e-01   8.4212e-02   1.0179e+00   8.1401e-02
+#> 233:    1.0251e+02  -4.0994e+00  -2.3237e+00  -4.0401e+00  -1.0046e+00  -5.4085e-02   4.7534e-03   2.2858e-05   5.8985e-02   2.2248e-02   1.8649e-01   9.7364e-02   9.4271e-01   8.4248e-02   1.0189e+00   8.1456e-02
+#> 234:    1.0251e+02  -4.0995e+00  -2.3238e+00  -4.0400e+00  -1.0042e+00  -5.2957e-02   4.8433e-03   2.2715e-05   5.8868e-02   2.2174e-02   1.8630e-01   9.7975e-02   9.4382e-01   8.4160e-02   1.0210e+00   8.1665e-02
+#> 235:    1.0251e+02  -4.0995e+00  -2.3248e+00  -4.0396e+00  -1.0044e+00  -5.3132e-02   4.8769e-03   2.2540e-05   5.9052e-02   2.2120e-02   1.8627e-01   9.8772e-02   9.4330e-01   8.4170e-02   1.0196e+00   8.1627e-02
+#> 236:    1.0251e+02  -4.0995e+00  -2.3244e+00  -4.0392e+00  -1.0052e+00  -5.3786e-02   4.8860e-03   2.2664e-05   5.8981e-02   2.2095e-02   1.8771e-01   9.8852e-02   9.4172e-01   8.4214e-02   1.0191e+00   8.1698e-02
+#> 237:    1.0251e+02  -4.0996e+00  -2.3231e+00  -4.0386e+00  -1.0056e+00  -5.5158e-02   4.8731e-03   2.2576e-05   5.8788e-02   2.2037e-02   1.8860e-01   9.9599e-02   9.4242e-01   8.4097e-02   1.0198e+00   8.1684e-02
+#> 238:    1.0251e+02  -4.0996e+00  -2.3222e+00  -4.0384e+00  -1.0054e+00  -5.6412e-02   4.8673e-03   2.2575e-05   5.8733e-02   2.1962e-02   1.8874e-01   9.9196e-02   9.4097e-01   8.4103e-02   1.0208e+00   8.1649e-02
+#> 239:    1.0251e+02  -4.0996e+00  -2.3212e+00  -4.0382e+00  -1.0068e+00  -5.7131e-02   4.8223e-03   2.2398e-05   5.8674e-02   2.1817e-02   1.8926e-01   9.9323e-02   9.4261e-01   8.4059e-02   1.0229e+00   8.1670e-02
+#> 240:    1.0251e+02  -4.0996e+00  -2.3216e+00  -4.0376e+00  -1.0073e+00  -5.6962e-02   4.7984e-03   2.2260e-05   5.8558e-02   2.1632e-02   1.8892e-01   9.9232e-02   9.4434e-01   8.4130e-02   1.0237e+00   8.1679e-02
+#> 241:    1.0251e+02  -4.0996e+00  -2.3216e+00  -4.0371e+00  -1.0078e+00  -5.6984e-02   4.7767e-03   2.2074e-05   5.9552e-02   2.1436e-02   1.8860e-01   9.9285e-02   9.4491e-01   8.4026e-02   1.0247e+00   8.1680e-02
+#> 242:    1.0251e+02  -4.0996e+00  -2.3222e+00  -4.0372e+00  -1.0079e+00  -5.6422e-02   4.7880e-03   2.2014e-05   6.0033e-02   2.1277e-02   1.8860e-01   9.8674e-02   9.4359e-01   8.3991e-02   1.0255e+00   8.1634e-02
+#> 243:    1.0251e+02  -4.0995e+00  -2.3227e+00  -4.0376e+00  -1.0079e+00  -5.4330e-02   4.7944e-03   2.1687e-05   6.0189e-02   2.1088e-02   1.8830e-01   9.7952e-02   9.4207e-01   8.4036e-02   1.0257e+00   8.1666e-02
+#> 244:    1.0251e+02  -4.0995e+00  -2.3237e+00  -4.0385e+00  -1.0076e+00  -5.2834e-02   4.7916e-03   2.1467e-05   6.0432e-02   2.1062e-02   1.8810e-01   9.7065e-02   9.4039e-01   8.4075e-02   1.0248e+00   8.1599e-02
+#> 245:    1.0251e+02  -4.0995e+00  -2.3249e+00  -4.0390e+00  -1.0073e+00  -5.0542e-02   4.7926e-03   2.1549e-05   6.1095e-02   2.0981e-02   1.8814e-01   9.6715e-02   9.3900e-01   8.4049e-02   1.0226e+00   8.1505e-02
+#> 246:    1.0251e+02  -4.0995e+00  -2.3261e+00  -4.0398e+00  -1.0066e+00  -4.7686e-02   4.8114e-03   2.1557e-05   6.1692e-02   2.0969e-02   1.8783e-01   9.6477e-02   9.3880e-01   8.4024e-02   1.0211e+00   8.1456e-02
+#> 247:    1.0251e+02  -4.0996e+00  -2.3270e+00  -4.0406e+00  -1.0063e+00  -4.5794e-02   4.7864e-03   2.1709e-05   6.1819e-02   2.0928e-02   1.8765e-01   9.5549e-02   9.3939e-01   8.4076e-02   1.0201e+00   8.1427e-02
+#> 248:    1.0251e+02  -4.0995e+00  -2.3282e+00  -4.0412e+00  -1.0064e+00  -4.3009e-02   4.7307e-03   2.1707e-05   6.2309e-02   2.0970e-02   1.8795e-01   9.5221e-02   9.3898e-01   8.4080e-02   1.0197e+00   8.1501e-02
+#> 249:    1.0251e+02  -4.0996e+00  -2.3298e+00  -4.0417e+00  -1.0070e+00  -4.1062e-02   4.7070e-03   2.1737e-05   6.2607e-02   2.1094e-02   1.8796e-01   9.5103e-02   9.3917e-01   8.4069e-02   1.0194e+00   8.1525e-02
+#> 250:    1.0251e+02  -4.0996e+00  -2.3313e+00  -4.0420e+00  -1.0073e+00  -3.9250e-02   4.7191e-03   2.1947e-05   6.2963e-02   2.1053e-02   1.8834e-01   9.4954e-02   9.3851e-01   8.4115e-02   1.0190e+00   8.1496e-02
+#> 251:    1.0251e+02  -4.0997e+00  -2.3317e+00  -4.0424e+00  -1.0078e+00  -3.7549e-02   4.7501e-03   2.2063e-05   6.3160e-02   2.0958e-02   1.8840e-01   9.4783e-02   9.3749e-01   8.4137e-02   1.0185e+00   8.1476e-02
+#> 252:    1.0251e+02  -4.0997e+00  -2.3319e+00  -4.0424e+00  -1.0083e+00  -3.6657e-02   4.7441e-03   2.2081e-05   6.3250e-02   2.0891e-02   1.8911e-01   9.4954e-02   9.3708e-01   8.4108e-02   1.0180e+00   8.1479e-02
+#> 253:    1.0251e+02  -4.0997e+00  -2.3323e+00  -4.0425e+00  -1.0085e+00  -3.5826e-02   4.7409e-03   2.2021e-05   6.3513e-02   2.0810e-02   1.8920e-01   9.5196e-02   9.3509e-01   8.4179e-02   1.0184e+00   8.1440e-02
+#> 254:    1.0251e+02  -4.0997e+00  -2.3324e+00  -4.0426e+00  -1.0086e+00  -3.6456e-02   4.7046e-03   2.1929e-05   6.3535e-02   2.0859e-02   1.9010e-01   9.5077e-02   9.3362e-01   8.4279e-02   1.0185e+00   8.1371e-02
+#> 255:    1.0251e+02  -4.0997e+00  -2.3313e+00  -4.0424e+00  -1.0088e+00  -3.7358e-02   4.6636e-03   2.1827e-05   6.3864e-02   2.0820e-02   1.9126e-01   9.4979e-02   9.3183e-01   8.4380e-02   1.0185e+00   8.1434e-02
+#> 256:    1.0251e+02  -4.0997e+00  -2.3306e+00  -4.0423e+00  -1.0086e+00  -3.8558e-02   4.6418e-03   2.1776e-05   6.4176e-02   2.0845e-02   1.9175e-01   9.4890e-02   9.3144e-01   8.4436e-02   1.0188e+00   8.1420e-02
+#> 257:    1.0251e+02  -4.0997e+00  -2.3297e+00  -4.0419e+00  -1.0092e+00  -3.9580e-02   4.6134e-03   2.1742e-05   6.4408e-02   2.0751e-02   1.9188e-01   9.4692e-02   9.3113e-01   8.4507e-02   1.0187e+00   8.1412e-02
+#> 258:    1.0251e+02  -4.0997e+00  -2.3287e+00  -4.0415e+00  -1.0090e+00  -4.0619e-02   4.5918e-03   2.1710e-05   6.4634e-02   2.0663e-02   1.9172e-01   9.4422e-02   9.3104e-01   8.4479e-02   1.0189e+00   8.1395e-02
+#> 259:    1.0251e+02  -4.0997e+00  -2.3284e+00  -4.0412e+00  -1.0086e+00  -4.1245e-02   4.5889e-03   2.1741e-05   6.5035e-02   2.0678e-02   1.9132e-01   9.3998e-02   9.2986e-01   8.4448e-02   1.0177e+00   8.1368e-02
+#> 260:    1.0251e+02  -4.0997e+00  -2.3283e+00  -4.0410e+00  -1.0084e+00  -4.1907e-02   4.5818e-03   2.1877e-05   6.5755e-02   2.0691e-02   1.9113e-01   9.3631e-02   9.2955e-01   8.4378e-02   1.0172e+00   8.1346e-02
+#> 261:    1.0251e+02  -4.0998e+00  -2.3282e+00  -4.0409e+00  -1.0087e+00  -4.2022e-02   4.5724e-03   2.1946e-05   6.6396e-02   2.0714e-02   1.9084e-01   9.3140e-02   9.2882e-01   8.4426e-02   1.0166e+00   8.1329e-02
+#> 262:    1.0251e+02  -4.0997e+00  -2.3275e+00  -4.0408e+00  -1.0092e+00  -4.2439e-02   4.5357e-03   2.1842e-05   6.6895e-02   2.0692e-02   1.9082e-01   9.2527e-02   9.2811e-01   8.4447e-02   1.0168e+00   8.1339e-02
+#> 263:    1.0251e+02  -4.0998e+00  -2.3269e+00  -4.0407e+00  -1.0097e+00  -4.2867e-02   4.5244e-03   2.1830e-05   6.7068e-02   2.0721e-02   1.9077e-01   9.2003e-02   9.2800e-01   8.4366e-02   1.0171e+00   8.1343e-02
+#> 264:    1.0251e+02  -4.0998e+00  -2.3262e+00  -4.0403e+00  -1.0102e+00  -4.3066e-02   4.4987e-03   2.1812e-05   6.7458e-02   2.0718e-02   1.9065e-01   9.1528e-02   9.2710e-01   8.4389e-02   1.0163e+00   8.1355e-02
+#> 265:    1.0251e+02  -4.0998e+00  -2.3264e+00  -4.0401e+00  -1.0105e+00  -4.3042e-02   4.4865e-03   2.1721e-05   6.7680e-02   2.0722e-02   1.9057e-01   9.1243e-02   9.2631e-01   8.4430e-02   1.0154e+00   8.1321e-02
+#> 266:    1.0251e+02  -4.0998e+00  -2.3264e+00  -4.0397e+00  -1.0107e+00  -4.3247e-02   4.4552e-03   2.1609e-05   6.8246e-02   2.0757e-02   1.9054e-01   9.1222e-02   9.2659e-01   8.4381e-02   1.0154e+00   8.1290e-02
+#> 267:    1.0251e+02  -4.0999e+00  -2.3261e+00  -4.0396e+00  -1.0107e+00  -4.4145e-02   4.4367e-03   2.1505e-05   6.8834e-02   2.0735e-02   1.9038e-01   9.1594e-02   9.2661e-01   8.4338e-02   1.0153e+00   8.1308e-02
+#> 268:    1.0251e+02  -4.0999e+00  -2.3249e+00  -4.0395e+00  -1.0112e+00  -4.5394e-02   4.4239e-03   2.1411e-05   6.9776e-02   2.0749e-02   1.9017e-01   9.1916e-02   9.2711e-01   8.4286e-02   1.0158e+00   8.1400e-02
+#> 269:    1.0251e+02  -4.0999e+00  -2.3236e+00  -4.0391e+00  -1.0112e+00  -4.6744e-02   4.4119e-03   2.1310e-05   7.0528e-02   2.0709e-02   1.9026e-01   9.2008e-02   9.2638e-01   8.4248e-02   1.0160e+00   8.1389e-02
+#> 270:    1.0251e+02  -4.0999e+00  -2.3231e+00  -4.0388e+00  -1.0116e+00  -4.7514e-02   4.3782e-03   2.1160e-05   7.1513e-02   2.0724e-02   1.9006e-01   9.1551e-02   9.2668e-01   8.4246e-02   1.0149e+00   8.1419e-02
+#> 271:    1.0251e+02  -4.0999e+00  -2.3228e+00  -4.0387e+00  -1.0117e+00  -4.7755e-02   4.3389e-03   2.1121e-05   7.1868e-02   2.0670e-02   1.8969e-01   9.1369e-02   9.2678e-01   8.4228e-02   1.0145e+00   8.1437e-02
+#> 272:    1.0251e+02  -4.0999e+00  -2.3222e+00  -4.0387e+00  -1.0121e+00  -4.8163e-02   4.3080e-03   2.1146e-05   7.2226e-02   2.0710e-02   1.8983e-01   9.0962e-02   9.2639e-01   8.4261e-02   1.0132e+00   8.1523e-02
+#> 273:    1.0251e+02  -4.0999e+00  -2.3216e+00  -4.0389e+00  -1.0122e+00  -4.8336e-02   4.2916e-03   2.1202e-05   7.2734e-02   2.0689e-02   1.8982e-01   9.0422e-02   9.2618e-01   8.4177e-02   1.0134e+00   8.1561e-02
+#> 274:    1.0251e+02  -4.0999e+00  -2.3211e+00  -4.0388e+00  -1.0124e+00  -4.8286e-02   4.2592e-03   2.1201e-05   7.3324e-02   2.0658e-02   1.9015e-01   8.9938e-02   9.2530e-01   8.4133e-02   1.0133e+00   8.1562e-02
+#> 275:    1.0251e+02  -4.0999e+00  -2.3211e+00  -4.0387e+00  -1.0128e+00  -4.8312e-02   4.2368e-03   2.1092e-05   7.3673e-02   2.0639e-02   1.9018e-01   8.9708e-02   9.2404e-01   8.4155e-02   1.0130e+00   8.1535e-02
+#> 276:    1.0251e+02  -4.0999e+00  -2.3212e+00  -4.0386e+00  -1.0126e+00  -4.8249e-02   4.2070e-03   2.0985e-05   7.4089e-02   2.0674e-02   1.8992e-01   8.9341e-02   9.2339e-01   8.4163e-02   1.0121e+00   8.1515e-02
+#> 277:    1.0251e+02  -4.0999e+00  -2.3212e+00  -4.0387e+00  -1.0123e+00  -4.8743e-02   4.1781e-03   2.0914e-05   7.4488e-02   2.0779e-02   1.8959e-01   8.9106e-02   9.2352e-01   8.4100e-02   1.0112e+00   8.1477e-02
+#> 278:    1.0251e+02  -4.0999e+00  -2.3213e+00  -4.0385e+00  -1.0118e+00  -4.9468e-02   4.1782e-03   2.0802e-05   7.4843e-02   2.0859e-02   1.8970e-01   8.8995e-02   9.2374e-01   8.4037e-02   1.0103e+00   8.1458e-02
+#> 279:    1.0251e+02  -4.0999e+00  -2.3213e+00  -4.0384e+00  -1.0115e+00  -4.9612e-02   4.1736e-03   2.0737e-05   7.5385e-02   2.0899e-02   1.8969e-01   8.8806e-02   9.2347e-01   8.3989e-02   1.0095e+00   8.1440e-02
+#> 280:    1.0251e+02  -4.0999e+00  -2.3213e+00  -4.0382e+00  -1.0114e+00  -5.0460e-02   4.1900e-03   2.0708e-05   7.6051e-02   2.0933e-02   1.8968e-01   8.9243e-02   9.2293e-01   8.3972e-02   1.0085e+00   8.1467e-02
+#> 281:    1.0251e+02  -4.0999e+00  -2.3215e+00  -4.0378e+00  -1.0113e+00  -5.0583e-02   4.2096e-03   2.0638e-05   7.6759e-02   2.1003e-02   1.8941e-01   8.9450e-02   9.2294e-01   8.4027e-02   1.0080e+00   8.1467e-02
+#> 282:    1.0251e+02  -4.0999e+00  -2.3218e+00  -4.0380e+00  -1.0114e+00  -5.0276e-02   4.2061e-03   2.0669e-05   7.7323e-02   2.1016e-02   1.8946e-01   8.9456e-02   9.2386e-01   8.3996e-02   1.0095e+00   8.1446e-02
+#> 283:    1.0251e+02  -4.0999e+00  -2.3224e+00  -4.0383e+00  -1.0115e+00  -4.9357e-02   4.2005e-03   2.0601e-05   7.7856e-02   2.1072e-02   1.8968e-01   8.9327e-02   9.2480e-01   8.3964e-02   1.0101e+00   8.1418e-02
+#> 284:    1.0251e+02  -4.0999e+00  -2.3226e+00  -4.0386e+00  -1.0110e+00  -4.8703e-02   4.1977e-03   2.0549e-05   7.8183e-02   2.1122e-02   1.8956e-01   8.9430e-02   9.2470e-01   8.3898e-02   1.0098e+00   8.1428e-02
+#> 285:    1.0251e+02  -4.0999e+00  -2.3232e+00  -4.0389e+00  -1.0110e+00  -4.7526e-02   4.2063e-03   2.0546e-05   7.8449e-02   2.1151e-02   1.8967e-01   8.9133e-02   9.2438e-01   8.3889e-02   1.0089e+00   8.1428e-02
+#> 286:    1.0251e+02  -4.0999e+00  -2.3242e+00  -4.0389e+00  -1.0103e+00  -4.6191e-02   4.2076e-03   2.0486e-05   7.8629e-02   2.1133e-02   1.8970e-01   8.8773e-02   9.2471e-01   8.3861e-02   1.0087e+00   8.1427e-02
+#> 287:    1.0251e+02  -4.0999e+00  -2.3243e+00  -4.0391e+00  -1.0105e+00  -4.5159e-02   4.1980e-03   2.0488e-05   7.8916e-02   2.1071e-02   1.8955e-01   8.8297e-02   9.2415e-01   8.3957e-02   1.0084e+00   8.1464e-02
+#> 288:    1.0251e+02  -4.0999e+00  -2.3237e+00  -4.0392e+00  -1.0109e+00  -4.4970e-02   4.1921e-03   2.0495e-05   7.8764e-02   2.0953e-02   1.8988e-01   8.8160e-02   9.2539e-01   8.3963e-02   1.0103e+00   8.1466e-02
+#> 289:    1.0251e+02  -4.0999e+00  -2.3232e+00  -4.0392e+00  -1.0114e+00  -4.4592e-02   4.1763e-03   2.0584e-05   7.8632e-02   2.0841e-02   1.8982e-01   8.8037e-02   9.2559e-01   8.4031e-02   1.0111e+00   8.1469e-02
+#> 290:    1.0251e+02  -4.0999e+00  -2.3228e+00  -4.0393e+00  -1.0118e+00  -4.4506e-02   4.1574e-03   2.0479e-05   7.8482e-02   2.0726e-02   1.8968e-01   8.7644e-02   9.2519e-01   8.4079e-02   1.0117e+00   8.1474e-02
+#> 291:    1.0251e+02  -4.0999e+00  -2.3223e+00  -4.0392e+00  -1.0120e+00  -4.4578e-02   4.1365e-03   2.0488e-05   7.8220e-02   2.0662e-02   1.8952e-01   8.7558e-02   9.2534e-01   8.4128e-02   1.0119e+00   8.1459e-02
+#> 292:    1.0251e+02  -4.0999e+00  -2.3219e+00  -4.0392e+00  -1.0120e+00  -4.4486e-02   4.1205e-03   2.0514e-05   7.8288e-02   2.0601e-02   1.8947e-01   8.7669e-02   9.2591e-01   8.4106e-02   1.0124e+00   8.1443e-02
+#> 293:    1.0251e+02  -4.0999e+00  -2.3217e+00  -4.0395e+00  -1.0120e+00  -4.3914e-02   4.1076e-03   2.0606e-05   7.8474e-02   2.0557e-02   1.8960e-01   8.7970e-02   9.2580e-01   8.4052e-02   1.0124e+00   8.1443e-02
+#> 294:    1.0251e+02  -4.0998e+00  -2.3218e+00  -4.0399e+00  -1.0123e+00  -4.3173e-02   4.1124e-03   2.0598e-05   7.8561e-02   2.0485e-02   1.8979e-01   8.7954e-02   9.2624e-01   8.4027e-02   1.0132e+00   8.1419e-02
+#> 295:    1.0251e+02  -4.0998e+00  -2.3220e+00  -4.0399e+00  -1.0123e+00  -4.2805e-02   4.1150e-03   2.0599e-05   7.8804e-02   2.0397e-02   1.8985e-01   8.8079e-02   9.2637e-01   8.3980e-02   1.0139e+00   8.1382e-02
+#> 296:    1.0251e+02  -4.0998e+00  -2.3224e+00  -4.0401e+00  -1.0121e+00  -4.2813e-02   4.1342e-03   2.0618e-05   7.9093e-02   2.0359e-02   1.8980e-01   8.8328e-02   9.2555e-01   8.3955e-02   1.0137e+00   8.1344e-02
+#> 297:    1.0251e+02  -4.0998e+00  -2.3225e+00  -4.0403e+00  -1.0118e+00  -4.2861e-02   4.1653e-03   2.0599e-05   7.9236e-02   2.0318e-02   1.8969e-01   8.8659e-02   9.2477e-01   8.3916e-02   1.0135e+00   8.1323e-02
+#> 298:    1.0251e+02  -4.0997e+00  -2.3228e+00  -4.0404e+00  -1.0116e+00  -4.2874e-02   4.2066e-03   2.0567e-05   7.9391e-02   2.0249e-02   1.8973e-01   8.8706e-02   9.2359e-01   8.3939e-02   1.0134e+00   8.1277e-02
+#> 299:    1.0251e+02  -4.0997e+00  -2.3224e+00  -4.0404e+00  -1.0113e+00  -4.3190e-02   4.2168e-03   2.0532e-05   7.9379e-02   2.0187e-02   1.8973e-01   8.8757e-02   9.2294e-01   8.3916e-02   1.0137e+00   8.1243e-02
+#> 300:    1.0251e+02  -4.0997e+00  -2.3221e+00  -4.0405e+00  -1.0111e+00  -4.3480e-02   4.2289e-03   2.0490e-05   7.9314e-02   2.0140e-02   1.8983e-01   8.8620e-02   9.2242e-01   8.3900e-02   1.0137e+00   8.1210e-02
+#> 301:    1.0251e+02  -4.0997e+00  -2.3213e+00  -4.0404e+00  -1.0109e+00  -4.4169e-02   4.2524e-03   2.0546e-05   7.9499e-02   2.0117e-02   1.8991e-01   8.8503e-02   9.2226e-01   8.3843e-02   1.0136e+00   8.1235e-02
+#> 302:    1.0251e+02  -4.0997e+00  -2.3205e+00  -4.0403e+00  -1.0108e+00  -4.5199e-02   4.2709e-03   2.0511e-05   7.9674e-02   2.0085e-02   1.8969e-01   8.8687e-02   9.2207e-01   8.3852e-02   1.0134e+00   8.1262e-02
+#> 303:    1.0251e+02  -4.0997e+00  -2.3199e+00  -4.0401e+00  -1.0106e+00  -4.6193e-02   4.2807e-03   2.0440e-05   7.9845e-02   2.0104e-02   1.8985e-01   8.8661e-02   9.2135e-01   8.3843e-02   1.0128e+00   8.1274e-02
+#> 304:    1.0251e+02  -4.0997e+00  -2.3189e+00  -4.0398e+00  -1.0105e+00  -4.7180e-02   4.3058e-03   2.0450e-05   7.9808e-02   2.0159e-02   1.8987e-01   8.8660e-02   9.2076e-01   8.3856e-02   1.0120e+00   8.1277e-02
+#> 305:    1.0251e+02  -4.0997e+00  -2.3180e+00  -4.0396e+00  -1.0102e+00  -4.8474e-02   4.3050e-03   2.0527e-05   7.9932e-02   2.0184e-02   1.8970e-01   8.8567e-02   9.1986e-01   8.3867e-02   1.0111e+00   8.1290e-02
+#> 306:    1.0251e+02  -4.0997e+00  -2.3175e+00  -4.0393e+00  -1.0101e+00  -4.9308e-02   4.3055e-03   2.0586e-05   8.0113e-02   2.0178e-02   1.8971e-01   8.8307e-02   9.1930e-01   8.3865e-02   1.0112e+00   8.1290e-02
+#> 307:    1.0251e+02  -4.0997e+00  -2.3175e+00  -4.0393e+00  -1.0103e+00  -4.9278e-02   4.3027e-03   2.0441e-05   8.0168e-02   2.0211e-02   1.8973e-01   8.7993e-02   9.1919e-01   8.3837e-02   1.0109e+00   8.1287e-02
+#> 308:    1.0251e+02  -4.0998e+00  -2.3175e+00  -4.0394e+00  -1.0103e+00  -4.9430e-02   4.2899e-03   2.0384e-05   8.0417e-02   2.0187e-02   1.8983e-01   8.7757e-02   9.1937e-01   8.3778e-02   1.0106e+00   8.1289e-02
+#> 309:    1.0251e+02  -4.0998e+00  -2.3175e+00  -4.0393e+00  -1.0103e+00  -4.9319e-02   4.2773e-03   2.0349e-05   8.0807e-02   2.0161e-02   1.8959e-01   8.7493e-02   9.1950e-01   8.3734e-02   1.0108e+00   8.1279e-02
+#> 310:    1.0251e+02  -4.0998e+00  -2.3174e+00  -4.0393e+00  -1.0101e+00  -4.8880e-02   4.2710e-03   2.0327e-05   8.1202e-02   2.0116e-02   1.8983e-01   8.7251e-02   9.1864e-01   8.3730e-02   1.0108e+00   8.1294e-02
+#> 311:    1.0251e+02  -4.0998e+00  -2.3174e+00  -4.0394e+00  -1.0100e+00  -4.8080e-02   4.2611e-03   2.0272e-05   8.1332e-02   2.0078e-02   1.9003e-01   8.6995e-02   9.1844e-01   8.3699e-02   1.0105e+00   8.1319e-02
+#> 312:    1.0251e+02  -4.0998e+00  -2.3173e+00  -4.0394e+00  -1.0100e+00  -4.7724e-02   4.2663e-03   2.0239e-05   8.1553e-02   2.0021e-02   1.8982e-01   8.6721e-02   9.1838e-01   8.3721e-02   1.0100e+00   8.1312e-02
+#> 313:    1.0251e+02  -4.0998e+00  -2.3170e+00  -4.0395e+00  -1.0100e+00  -4.7216e-02   4.2775e-03   2.0213e-05   8.2001e-02   1.9971e-02   1.8980e-01   8.6651e-02   9.1837e-01   8.3697e-02   1.0100e+00   8.1318e-02
+#> 314:    1.0251e+02  -4.0998e+00  -2.3169e+00  -4.0398e+00  -1.0100e+00  -4.6902e-02   4.2949e-03   2.0265e-05   8.2392e-02   1.9922e-02   1.8988e-01   8.6426e-02   9.1845e-01   8.3722e-02   1.0103e+00   8.1309e-02
+#> 315:    1.0251e+02  -4.0998e+00  -2.3168e+00  -4.0399e+00  -1.0102e+00  -4.6480e-02   4.3206e-03   2.0314e-05   8.2534e-02   1.9912e-02   1.8972e-01   8.6211e-02   9.1792e-01   8.3758e-02   1.0103e+00   8.1337e-02
+#> 316:    1.0251e+02  -4.0998e+00  -2.3169e+00  -4.0400e+00  -1.0100e+00  -4.6238e-02   4.3456e-03   2.0323e-05   8.2729e-02   1.9936e-02   1.8975e-01   8.5856e-02   9.1759e-01   8.3814e-02   1.0095e+00   8.1353e-02
+#> 317:    1.0251e+02  -4.0998e+00  -2.3169e+00  -4.0402e+00  -1.0103e+00  -4.5470e-02   4.3521e-03   2.0275e-05   8.2864e-02   1.9965e-02   1.8980e-01   8.5438e-02   9.1755e-01   8.3894e-02   1.0088e+00   8.1373e-02
+#> 318:    1.0251e+02  -4.0998e+00  -2.3169e+00  -4.0402e+00  -1.0106e+00  -4.5001e-02   4.3661e-03   2.0191e-05   8.2949e-02   1.9983e-02   1.9001e-01   8.5203e-02   9.1746e-01   8.3944e-02   1.0078e+00   8.1401e-02
+#> 319:    1.0251e+02  -4.0998e+00  -2.3169e+00  -4.0403e+00  -1.0108e+00  -4.4545e-02   4.3665e-03   2.0114e-05   8.2694e-02   2.0003e-02   1.9041e-01   8.4997e-02   9.1774e-01   8.3940e-02   1.0073e+00   8.1417e-02
+#> 320:    1.0251e+02  -4.0998e+00  -2.3171e+00  -4.0402e+00  -1.0109e+00  -4.4419e-02   4.3600e-03   2.0043e-05   8.2516e-02   1.9999e-02   1.9044e-01   8.4873e-02   9.1798e-01   8.3932e-02   1.0070e+00   8.1420e-02
+#> 321:    1.0251e+02  -4.0998e+00  -2.3170e+00  -4.0401e+00  -1.0107e+00  -4.4267e-02   4.3539e-03   1.9995e-05   8.2307e-02   1.9967e-02   1.9050e-01   8.4982e-02   9.1814e-01   8.3919e-02   1.0067e+00   8.1429e-02
+#> 322:    1.0251e+02  -4.0998e+00  -2.3170e+00  -4.0400e+00  -1.0106e+00  -4.4240e-02   4.3331e-03   1.9984e-05   8.2305e-02   1.9961e-02   1.9054e-01   8.5443e-02   9.1821e-01   8.3910e-02   1.0065e+00   8.1424e-02
+#> 323:    1.0251e+02  -4.0998e+00  -2.3166e+00  -4.0397e+00  -1.0105e+00  -4.4793e-02   4.3199e-03   1.9921e-05   8.2300e-02   1.9935e-02   1.9078e-01   8.6081e-02   9.1836e-01   8.3854e-02   1.0062e+00   8.1448e-02
+#> 324:    1.0251e+02  -4.0998e+00  -2.3167e+00  -4.0395e+00  -1.0104e+00  -4.4862e-02   4.3167e-03   1.9926e-05   8.2063e-02   1.9919e-02   1.9086e-01   8.6736e-02   9.1865e-01   8.3834e-02   1.0060e+00   8.1439e-02
+#> 325:    1.0251e+02  -4.0998e+00  -2.3166e+00  -4.0394e+00  -1.0103e+00  -4.5123e-02   4.3012e-03   1.9902e-05   8.1871e-02   1.9888e-02   1.9103e-01   8.7030e-02   9.1829e-01   8.3865e-02   1.0059e+00   8.1436e-02
+#> 326:    1.0251e+02  -4.0998e+00  -2.3166e+00  -4.0393e+00  -1.0100e+00  -4.5111e-02   4.2839e-03   1.9869e-05   8.2016e-02   1.9843e-02   1.9083e-01   8.7106e-02   9.1802e-01   8.3847e-02   1.0058e+00   8.1427e-02
+#> 327:    1.0251e+02  -4.0998e+00  -2.3165e+00  -4.0393e+00  -1.0101e+00  -4.5297e-02   4.2847e-03   1.9858e-05   8.2297e-02   1.9823e-02   1.9075e-01   8.7398e-02   9.1826e-01   8.3771e-02   1.0054e+00   8.1451e-02
+#> 328:    1.0251e+02  -4.0998e+00  -2.3162e+00  -4.0393e+00  -1.0100e+00  -4.5633e-02   4.2864e-03   1.9877e-05   8.2486e-02   1.9809e-02   1.9060e-01   8.7863e-02   9.1822e-01   8.3706e-02   1.0049e+00   8.1482e-02
+#> 329:    1.0251e+02  -4.0998e+00  -2.3163e+00  -4.0392e+00  -1.0098e+00  -4.5698e-02   4.3097e-03   1.9869e-05   8.2469e-02   1.9795e-02   1.9047e-01   8.8220e-02   9.1805e-01   8.3704e-02   1.0045e+00   8.1502e-02
+#> 330:    1.0251e+02  -4.0998e+00  -2.3168e+00  -4.0390e+00  -1.0099e+00  -4.5752e-02   4.3120e-03   1.9810e-05   8.2684e-02   1.9770e-02   1.9049e-01   8.8495e-02   9.1779e-01   8.3731e-02   1.0046e+00   8.1500e-02
+#> 331:    1.0251e+02  -4.0998e+00  -2.3170e+00  -4.0390e+00  -1.0099e+00  -4.5957e-02   4.3052e-03   1.9736e-05   8.2748e-02   1.9734e-02   1.9034e-01   8.8651e-02   9.1818e-01   8.3707e-02   1.0050e+00   8.1489e-02
+#> 332:    1.0251e+02  -4.0998e+00  -2.3171e+00  -4.0391e+00  -1.0098e+00  -4.5788e-02   4.2994e-03   1.9733e-05   8.2906e-02   1.9711e-02   1.9035e-01   8.8647e-02   9.1835e-01   8.3660e-02   1.0052e+00   8.1490e-02
+#> 333:    1.0251e+02  -4.0998e+00  -2.3173e+00  -4.0392e+00  -1.0099e+00  -4.5316e-02   4.2822e-03   1.9667e-05   8.2967e-02   1.9695e-02   1.9041e-01   8.8729e-02   9.1832e-01   8.3666e-02   1.0056e+00   8.1484e-02
+#> 334:    1.0251e+02  -4.0998e+00  -2.3179e+00  -4.0394e+00  -1.0097e+00  -4.4740e-02   4.2668e-03   1.9593e-05   8.3055e-02   1.9702e-02   1.9058e-01   8.8853e-02   9.1799e-01   8.3687e-02   1.0056e+00   8.1457e-02
+#> 335:    1.0251e+02  -4.0998e+00  -2.3181e+00  -4.0395e+00  -1.0095e+00  -4.4451e-02   4.2558e-03   1.9535e-05   8.3023e-02   1.9762e-02   1.9027e-01   8.9035e-02   9.1828e-01   8.3673e-02   1.0052e+00   8.1469e-02
+#> 336:    1.0251e+02  -4.0998e+00  -2.3178e+00  -4.0395e+00  -1.0098e+00  -4.4500e-02   4.2571e-03   1.9546e-05   8.3051e-02   1.9779e-02   1.9024e-01   8.9486e-02   9.1868e-01   8.3611e-02   1.0053e+00   8.1515e-02
+#> 337:    1.0251e+02  -4.0998e+00  -2.3179e+00  -4.0396e+00  -1.0099e+00  -4.4018e-02   4.2494e-03   1.9584e-05   8.3206e-02   1.9764e-02   1.9011e-01   8.9643e-02   9.1871e-01   8.3659e-02   1.0056e+00   8.1531e-02
+#> 338:    1.0251e+02  -4.0998e+00  -2.3180e+00  -4.0396e+00  -1.0101e+00  -4.3768e-02   4.2332e-03   1.9635e-05   8.3235e-02   1.9751e-02   1.9011e-01   8.9877e-02   9.1939e-01   8.3622e-02   1.0060e+00   8.1528e-02
+#> 339:    1.0251e+02  -4.0998e+00  -2.3186e+00  -4.0397e+00  -1.0098e+00  -4.3605e-02   4.2237e-03   1.9638e-05   8.3611e-02   1.9725e-02   1.9014e-01   8.9946e-02   9.2025e-01   8.3580e-02   1.0064e+00   8.1528e-02
+#> 340:    1.0251e+02  -4.0998e+00  -2.3190e+00  -4.0396e+00  -1.0097e+00  -4.3585e-02   4.2095e-03   1.9630e-05   8.3986e-02   1.9677e-02   1.9019e-01   8.9920e-02   9.2124e-01   8.3559e-02   1.0073e+00   8.1516e-02
+#> 341:    1.0251e+02  -4.0998e+00  -2.3191e+00  -4.0398e+00  -1.0097e+00  -4.3238e-02   4.1994e-03   1.9636e-05   8.4311e-02   1.9683e-02   1.9023e-01   8.9809e-02   9.2179e-01   8.3517e-02   1.0079e+00   8.1498e-02
+#> 342:    1.0251e+02  -4.0998e+00  -2.3194e+00  -4.0400e+00  -1.0097e+00  -4.2748e-02   4.1886e-03   1.9661e-05   8.4345e-02   1.9684e-02   1.9018e-01   8.9600e-02   9.2207e-01   8.3517e-02   1.0081e+00   8.1517e-02
+#> 343:    1.0251e+02  -4.0998e+00  -2.3196e+00  -4.0402e+00  -1.0096e+00  -4.2336e-02   4.1813e-03   1.9615e-05   8.4331e-02   1.9666e-02   1.9016e-01   8.9379e-02   9.2231e-01   8.3534e-02   1.0083e+00   8.1548e-02
+#> 344:    1.0251e+02  -4.0998e+00  -2.3197e+00  -4.0403e+00  -1.0097e+00  -4.2462e-02   4.1751e-03   1.9621e-05   8.4176e-02   1.9673e-02   1.8996e-01   8.9217e-02   9.2236e-01   8.3540e-02   1.0083e+00   8.1557e-02
+#> 345:    1.0251e+02  -4.0998e+00  -2.3200e+00  -4.0403e+00  -1.0098e+00  -4.2327e-02   4.1705e-03   1.9552e-05   8.4159e-02   1.9684e-02   1.9017e-01   8.8957e-02   9.2232e-01   8.3511e-02   1.0085e+00   8.1566e-02
+#> 346:    1.0251e+02  -4.0998e+00  -2.3200e+00  -4.0403e+00  -1.0097e+00  -4.2261e-02   4.1750e-03   1.9564e-05   8.4080e-02   1.9731e-02   1.9047e-01   8.8630e-02   9.2248e-01   8.3516e-02   1.0081e+00   8.1578e-02
+#> 347:    1.0251e+02  -4.0999e+00  -2.3200e+00  -4.0403e+00  -1.0096e+00  -4.2296e-02   4.1883e-03   1.9634e-05   8.4231e-02   1.9747e-02   1.9061e-01   8.8399e-02   9.2250e-01   8.3557e-02   1.0075e+00   8.1580e-02
+#> 348:    1.0251e+02  -4.0999e+00  -2.3199e+00  -4.0404e+00  -1.0096e+00  -4.2345e-02   4.2129e-03   1.9692e-05   8.4295e-02   1.9719e-02   1.9068e-01   8.8210e-02   9.2212e-01   8.3568e-02   1.0075e+00   8.1586e-02
+#> 349:    1.0251e+02  -4.0999e+00  -2.3198e+00  -4.0404e+00  -1.0095e+00  -4.2617e-02   4.2066e-03   1.9720e-05   8.4289e-02   1.9731e-02   1.9054e-01   8.8147e-02   9.2185e-01   8.3565e-02   1.0070e+00   8.1590e-02
+#> 350:    1.0251e+02  -4.0999e+00  -2.3196e+00  -4.0405e+00  -1.0093e+00  -4.2582e-02   4.2011e-03   1.9760e-05   8.4302e-02   1.9703e-02   1.9044e-01   8.8068e-02   9.2182e-01   8.3537e-02   1.0070e+00   8.1590e-02
+#> 351:    1.0251e+02  -4.0998e+00  -2.3198e+00  -4.0405e+00  -1.0093e+00  -4.2377e-02   4.1970e-03   1.9750e-05   8.4587e-02   1.9708e-02   1.9045e-01   8.8008e-02   9.2169e-01   8.3507e-02   1.0067e+00   8.1584e-02
+#> 352:    1.0251e+02  -4.0998e+00  -2.3201e+00  -4.0405e+00  -1.0091e+00  -4.2159e-02   4.1973e-03   1.9819e-05   8.4804e-02   1.9678e-02   1.9040e-01   8.7894e-02   9.2113e-01   8.3528e-02   1.0061e+00   8.1554e-02
+#> 353:    1.0251e+02  -4.0998e+00  -2.3202e+00  -4.0405e+00  -1.0088e+00  -4.2123e-02   4.1968e-03   1.9855e-05   8.4945e-02   1.9634e-02   1.9049e-01   8.7941e-02   9.2108e-01   8.3500e-02   1.0058e+00   8.1548e-02
+#> 354:    1.0251e+02  -4.0998e+00  -2.3204e+00  -4.0404e+00  -1.0087e+00  -4.2217e-02   4.1918e-03   1.9909e-05   8.5122e-02   1.9565e-02   1.9055e-01   8.7948e-02   9.2088e-01   8.3523e-02   1.0059e+00   8.1530e-02
+#> 355:    1.0251e+02  -4.0998e+00  -2.3206e+00  -4.0404e+00  -1.0086e+00  -4.2057e-02   4.1853e-03   1.9973e-05   8.5389e-02   1.9505e-02   1.9057e-01   8.8109e-02   9.2100e-01   8.3496e-02   1.0058e+00   8.1520e-02
+#> 356:    1.0251e+02  -4.0998e+00  -2.3209e+00  -4.0403e+00  -1.0084e+00  -4.1880e-02   4.1796e-03   2.0058e-05   8.5446e-02   1.9451e-02   1.9063e-01   8.7944e-02   9.2086e-01   8.3483e-02   1.0061e+00   8.1488e-02
+#> 357:    1.0251e+02  -4.0998e+00  -2.3210e+00  -4.0404e+00  -1.0084e+00  -4.1565e-02   4.1858e-03   2.0131e-05   8.5481e-02   1.9391e-02   1.9072e-01   8.7879e-02   9.2119e-01   8.3465e-02   1.0066e+00   8.1468e-02
+#> 358:    1.0251e+02  -4.0998e+00  -2.3213e+00  -4.0404e+00  -1.0084e+00  -4.1497e-02   4.1826e-03   2.0168e-05   8.5661e-02   1.9361e-02   1.9086e-01   8.7635e-02   9.2095e-01   8.3475e-02   1.0069e+00   8.1445e-02
+#> 359:    1.0251e+02  -4.0997e+00  -2.3212e+00  -4.0405e+00  -1.0083e+00  -4.1127e-02   4.1993e-03   2.0188e-05   8.5904e-02   1.9347e-02   1.9078e-01   8.7558e-02   9.2087e-01   8.3451e-02   1.0068e+00   8.1461e-02
+#> 360:    1.0251e+02  -4.0997e+00  -2.3215e+00  -4.0405e+00  -1.0082e+00  -4.0919e-02   4.2006e-03   2.0173e-05   8.6133e-02   1.9333e-02   1.9071e-01   8.7479e-02   9.2061e-01   8.3439e-02   1.0067e+00   8.1453e-02
+#> 361:    1.0251e+02  -4.0997e+00  -2.3218e+00  -4.0406e+00  -1.0084e+00  -4.0317e-02   4.2013e-03   2.0253e-05   8.6558e-02   1.9351e-02   1.9075e-01   8.7309e-02   9.2060e-01   8.3425e-02   1.0069e+00   8.1464e-02
+#> 362:    1.0251e+02  -4.0997e+00  -2.3221e+00  -4.0407e+00  -1.0086e+00  -3.9991e-02   4.2004e-03   2.0305e-05   8.6952e-02   1.9369e-02   1.9077e-01   8.7106e-02   9.2037e-01   8.3462e-02   1.0072e+00   8.1464e-02
+#> 363:    1.0251e+02  -4.0997e+00  -2.3224e+00  -4.0407e+00  -1.0086e+00  -3.9745e-02   4.1920e-03   2.0350e-05   8.7210e-02   1.9373e-02   1.9095e-01   8.6967e-02   9.2025e-01   8.3462e-02   1.0070e+00   8.1489e-02
+#> 364:    1.0251e+02  -4.0997e+00  -2.3225e+00  -4.0407e+00  -1.0088e+00  -3.9585e-02   4.1826e-03   2.0355e-05   8.7449e-02   1.9353e-02   1.9099e-01   8.7119e-02   9.2081e-01   8.3468e-02   1.0070e+00   8.1514e-02
+#> 365:    1.0251e+02  -4.0997e+00  -2.3224e+00  -4.0407e+00  -1.0088e+00  -3.9531e-02   4.1781e-03   2.0298e-05   8.7646e-02   1.9346e-02   1.9083e-01   8.6997e-02   9.2106e-01   8.3455e-02   1.0068e+00   8.1546e-02
+#> 366:    1.0251e+02  -4.0997e+00  -2.3223e+00  -4.0407e+00  -1.0088e+00  -3.9436e-02   4.1805e-03   2.0301e-05   8.7772e-02   1.9354e-02   1.9074e-01   8.7057e-02   9.2118e-01   8.3426e-02   1.0064e+00   8.1555e-02
+#> 367:    1.0251e+02  -4.0997e+00  -2.3223e+00  -4.0408e+00  -1.0088e+00  -3.9172e-02   4.1791e-03   2.0368e-05   8.7914e-02   1.9333e-02   1.9063e-01   8.6948e-02   9.2106e-01   8.3409e-02   1.0060e+00   8.1558e-02
+#> 368:    1.0251e+02  -4.0997e+00  -2.3222e+00  -4.0410e+00  -1.0088e+00  -3.8640e-02   4.1857e-03   2.0343e-05   8.7937e-02   1.9334e-02   1.9051e-01   8.6857e-02   9.2143e-01   8.3379e-02   1.0058e+00   8.1564e-02
+#> 369:    1.0251e+02  -4.0997e+00  -2.3223e+00  -4.0411e+00  -1.0088e+00  -3.8331e-02   4.1862e-03   2.0309e-05   8.7933e-02   1.9319e-02   1.9046e-01   8.6689e-02   9.2126e-01   8.3410e-02   1.0053e+00   8.1559e-02
+#> 370:    1.0251e+02  -4.0997e+00  -2.3222e+00  -4.0413e+00  -1.0088e+00  -3.7984e-02   4.1921e-03   2.0301e-05   8.8082e-02   1.9313e-02   1.9050e-01   8.6622e-02   9.2101e-01   8.3424e-02   1.0049e+00   8.1559e-02
+#> 371:    1.0251e+02  -4.0998e+00  -2.3222e+00  -4.0415e+00  -1.0087e+00  -3.7729e-02   4.1972e-03   2.0277e-05   8.8271e-02   1.9308e-02   1.9035e-01   8.6655e-02   9.2092e-01   8.3426e-02   1.0046e+00   8.1575e-02
+#> 372:    1.0251e+02  -4.0998e+00  -2.3222e+00  -4.0414e+00  -1.0087e+00  -3.7571e-02   4.1922e-03   2.0292e-05   8.8651e-02   1.9317e-02   1.9025e-01   8.6528e-02   9.2126e-01   8.3440e-02   1.0046e+00   8.1576e-02
+#> 373:    1.0251e+02  -4.0998e+00  -2.3223e+00  -4.0415e+00  -1.0087e+00  -3.7327e-02   4.1971e-03   2.0343e-05   8.8865e-02   1.9290e-02   1.9002e-01   8.6437e-02   9.2122e-01   8.3475e-02   1.0044e+00   8.1571e-02
+#> 374:    1.0251e+02  -4.0998e+00  -2.3224e+00  -4.0415e+00  -1.0089e+00  -3.7275e-02   4.2072e-03   2.0450e-05   8.9078e-02   1.9306e-02   1.9002e-01   8.6224e-02   9.2111e-01   8.3480e-02   1.0047e+00   8.1569e-02
+#> 375:    1.0251e+02  -4.0998e+00  -2.3226e+00  -4.0415e+00  -1.0089e+00  -3.7080e-02   4.2062e-03   2.0489e-05   8.9178e-02   1.9320e-02   1.9016e-01   8.6141e-02   9.2116e-01   8.3483e-02   1.0047e+00   8.1586e-02
+#> 376:    1.0251e+02  -4.0998e+00  -2.3230e+00  -4.0415e+00  -1.0089e+00  -3.7043e-02   4.2105e-03   2.0517e-05   8.9291e-02   1.9325e-02   1.9018e-01   8.6033e-02   9.2114e-01   8.3474e-02   1.0046e+00   8.1572e-02
+#> 377:    1.0251e+02  -4.0998e+00  -2.3234e+00  -4.0414e+00  -1.0090e+00  -3.7302e-02   4.2097e-03   2.0524e-05   8.9438e-02   1.9333e-02   1.9012e-01   8.6018e-02   9.2123e-01   8.3476e-02   1.0046e+00   8.1545e-02
+#> 378:    1.0251e+02  -4.0998e+00  -2.3234e+00  -4.0413e+00  -1.0089e+00  -3.7617e-02   4.2161e-03   2.0520e-05   8.9567e-02   1.9305e-02   1.9012e-01   8.6106e-02   9.2115e-01   8.3444e-02   1.0049e+00   8.1534e-02
+#> 379:    1.0251e+02  -4.0998e+00  -2.3232e+00  -4.0412e+00  -1.0088e+00  -3.8039e-02   4.2231e-03   2.0484e-05   8.9704e-02   1.9276e-02   1.9015e-01   8.5914e-02   9.2060e-01   8.3438e-02   1.0048e+00   8.1532e-02
+#> 380:    1.0251e+02  -4.0998e+00  -2.3229e+00  -4.0409e+00  -1.0088e+00  -3.8613e-02   4.2221e-03   2.0452e-05   8.9751e-02   1.9293e-02   1.9018e-01   8.5907e-02   9.2032e-01   8.3428e-02   1.0045e+00   8.1545e-02
+#> 381:    1.0251e+02  -4.0998e+00  -2.3228e+00  -4.0408e+00  -1.0088e+00  -3.8992e-02   4.2177e-03   2.0475e-05   8.9641e-02   1.9314e-02   1.9014e-01   8.5978e-02   9.2015e-01   8.3429e-02   1.0040e+00   8.1535e-02
+#> 382:    1.0251e+02  -4.0998e+00  -2.3228e+00  -4.0408e+00  -1.0088e+00  -3.9393e-02   4.2092e-03   2.0508e-05   8.9624e-02   1.9352e-02   1.9010e-01   8.5929e-02   9.2037e-01   8.3422e-02   1.0037e+00   8.1535e-02
+#> 383:    1.0251e+02  -4.0998e+00  -2.3226e+00  -4.0407e+00  -1.0089e+00  -3.9650e-02   4.2080e-03   2.0503e-05   8.9621e-02   1.9349e-02   1.9000e-01   8.5735e-02   9.2021e-01   8.3436e-02   1.0038e+00   8.1544e-02
+#> 384:    1.0251e+02  -4.0998e+00  -2.3223e+00  -4.0407e+00  -1.0089e+00  -3.9709e-02   4.2111e-03   2.0489e-05   8.9690e-02   1.9347e-02   1.8985e-01   8.5516e-02   9.2025e-01   8.3420e-02   1.0037e+00   8.1541e-02
+#> 385:    1.0251e+02  -4.0998e+00  -2.3225e+00  -4.0406e+00  -1.0087e+00  -3.9762e-02   4.2130e-03   2.0458e-05   8.9795e-02   1.9380e-02   1.8978e-01   8.5306e-02   9.2055e-01   8.3405e-02   1.0034e+00   8.1518e-02
+#> 386:    1.0251e+02  -4.0998e+00  -2.3226e+00  -4.0407e+00  -1.0087e+00  -3.9801e-02   4.2117e-03   2.0473e-05   8.9838e-02   1.9386e-02   1.8986e-01   8.5045e-02   9.2034e-01   8.3388e-02   1.0036e+00   8.1512e-02
+#> 387:    1.0251e+02  -4.0998e+00  -2.3228e+00  -4.0408e+00  -1.0088e+00  -3.9548e-02   4.2221e-03   2.0474e-05   8.9914e-02   1.9399e-02   1.9001e-01   8.4840e-02   9.2080e-01   8.3373e-02   1.0037e+00   8.1503e-02
+#> 388:    1.0251e+02  -4.0998e+00  -2.3230e+00  -4.0408e+00  -1.0088e+00  -3.9408e-02   4.2272e-03   2.0464e-05   8.9977e-02   1.9383e-02   1.9000e-01   8.4644e-02   9.2070e-01   8.3377e-02   1.0034e+00   8.1494e-02
+#> 389:    1.0250e+02  -4.0998e+00  -2.3229e+00  -4.0408e+00  -1.0087e+00  -3.9326e-02   4.2285e-03   2.0459e-05   8.9927e-02   1.9366e-02   1.9001e-01   8.4485e-02   9.2063e-01   8.3367e-02   1.0032e+00   8.1487e-02
+#> 390:    1.0250e+02  -4.0998e+00  -2.3231e+00  -4.0409e+00  -1.0086e+00  -3.9130e-02   4.2286e-03   2.0423e-05   8.9894e-02   1.9331e-02   1.8996e-01   8.4434e-02   9.2054e-01   8.3339e-02   1.0032e+00   8.1481e-02
+#> 391:    1.0250e+02  -4.0998e+00  -2.3232e+00  -4.0410e+00  -1.0086e+00  -3.8976e-02   4.2242e-03   2.0419e-05   8.9782e-02   1.9299e-02   1.8992e-01   8.4344e-02   9.2089e-01   8.3320e-02   1.0032e+00   8.1480e-02
+#> 392:    1.0250e+02  -4.0998e+00  -2.3232e+00  -4.0409e+00  -1.0086e+00  -3.8856e-02   4.2179e-03   2.0396e-05   8.9773e-02   1.9263e-02   1.8984e-01   8.4469e-02   9.2084e-01   8.3309e-02   1.0034e+00   8.1489e-02
+#> 393:    1.0250e+02  -4.0998e+00  -2.3234e+00  -4.0409e+00  -1.0089e+00  -3.8820e-02   4.2135e-03   2.0375e-05   8.9746e-02   1.9259e-02   1.8972e-01   8.4731e-02   9.2088e-01   8.3310e-02   1.0031e+00   8.1481e-02
+#> 394:    1.0250e+02  -4.0998e+00  -2.3234e+00  -4.0410e+00  -1.0089e+00  -3.8759e-02   4.2123e-03   2.0382e-05   8.9791e-02   1.9271e-02   1.8958e-01   8.5075e-02   9.2064e-01   8.3316e-02   1.0028e+00   8.1483e-02
+#> 395:    1.0250e+02  -4.0998e+00  -2.3234e+00  -4.0410e+00  -1.0090e+00  -3.8565e-02   4.2179e-03   2.0420e-05   8.9844e-02   1.9279e-02   1.8948e-01   8.5286e-02   9.2070e-01   8.3311e-02   1.0027e+00   8.1499e-02
+#> 396:    1.0250e+02  -4.0998e+00  -2.3233e+00  -4.0411e+00  -1.0092e+00  -3.8505e-02   4.2207e-03   2.0445e-05   8.9863e-02   1.9281e-02   1.8944e-01   8.5452e-02   9.2053e-01   8.3326e-02   1.0028e+00   8.1524e-02
+#> 397:    1.0250e+02  -4.0998e+00  -2.3232e+00  -4.0411e+00  -1.0093e+00  -3.8366e-02   4.2115e-03   2.0410e-05   8.9792e-02   1.9287e-02   1.8938e-01   8.5649e-02   9.2063e-01   8.3351e-02   1.0034e+00   8.1519e-02
+#> 398:    1.0250e+02  -4.0998e+00  -2.3234e+00  -4.0411e+00  -1.0093e+00  -3.8179e-02   4.2049e-03   2.0362e-05   8.9718e-02   1.9281e-02   1.8943e-01   8.5813e-02   9.2065e-01   8.3391e-02   1.0040e+00   8.1513e-02
+#> 399:    1.0250e+02  -4.0998e+00  -2.3236e+00  -4.0411e+00  -1.0093e+00  -3.8020e-02   4.2015e-03   2.0320e-05   8.9743e-02   1.9283e-02   1.8934e-01   8.5899e-02   9.2056e-01   8.3426e-02   1.0045e+00   8.1500e-02
+#> 400:    1.0250e+02  -4.0998e+00  -2.3237e+00  -4.0412e+00  -1.0093e+00  -3.7796e-02   4.2017e-03   2.0296e-05   8.9684e-02   1.9297e-02   1.8932e-01   8.5849e-02   9.2107e-01   8.3413e-02   1.0051e+00   8.1502e-02
+#> 401:    1.0250e+02  -4.0998e+00  -2.3238e+00  -4.0413e+00  -1.0093e+00  -3.7697e-02   4.1959e-03   2.0275e-05   8.9618e-02   1.9291e-02   1.8914e-01   8.5796e-02   9.2086e-01   8.3480e-02   1.0051e+00   8.1510e-02
+#> 402:    1.0250e+02  -4.0998e+00  -2.3238e+00  -4.0414e+00  -1.0093e+00  -3.7639e-02   4.1863e-03   2.0273e-05   8.9522e-02   1.9285e-02   1.8898e-01   8.5723e-02   9.2041e-01   8.3534e-02   1.0053e+00   8.1520e-02
+#> 403:    1.0250e+02  -4.0998e+00  -2.3238e+00  -4.0415e+00  -1.0093e+00  -3.7634e-02   4.1878e-03   2.0250e-05   8.9456e-02   1.9288e-02   1.8895e-01   8.5791e-02   9.1990e-01   8.3549e-02   1.0055e+00   8.1545e-02
+#> 404:    1.0250e+02  -4.0999e+00  -2.3239e+00  -4.0416e+00  -1.0094e+00  -3.7581e-02   4.1854e-03   2.0292e-05   8.9326e-02   1.9326e-02   1.8902e-01   8.5928e-02   9.2016e-01   8.3542e-02   1.0053e+00   8.1565e-02
+#> 405:    1.0250e+02  -4.0999e+00  -2.3239e+00  -4.0415e+00  -1.0094e+00  -3.7740e-02   4.1804e-03   2.0333e-05   8.9304e-02   1.9334e-02   1.8892e-01   8.6225e-02   9.1978e-01   8.3559e-02   1.0052e+00   8.1588e-02
+#> 406:    1.0250e+02  -4.0999e+00  -2.3241e+00  -4.0415e+00  -1.0093e+00  -3.7837e-02   4.1866e-03   2.0375e-05   8.9281e-02   1.9322e-02   1.8906e-01   8.6421e-02   9.1972e-01   8.3556e-02   1.0051e+00   8.1596e-02
+#> 407:    1.0250e+02  -4.0999e+00  -2.3240e+00  -4.0415e+00  -1.0092e+00  -3.8211e-02   4.1948e-03   2.0335e-05   8.9117e-02   1.9303e-02   1.8913e-01   8.6644e-02   9.1975e-01   8.3592e-02   1.0052e+00   8.1594e-02
+#> 408:    1.0250e+02  -4.0999e+00  -2.3239e+00  -4.0415e+00  -1.0091e+00  -3.8144e-02   4.2081e-03   2.0320e-05   8.9057e-02   1.9287e-02   1.8912e-01   8.6825e-02   9.1992e-01   8.3572e-02   1.0054e+00   8.1577e-02
+#> 409:    1.0250e+02  -4.0999e+00  -2.3239e+00  -4.0415e+00  -1.0092e+00  -3.8261e-02   4.2186e-03   2.0295e-05   8.9007e-02   1.9339e-02   1.8923e-01   8.6869e-02   9.1991e-01   8.3568e-02   1.0053e+00   8.1578e-02
+#> 410:    1.0250e+02  -4.0999e+00  -2.3239e+00  -4.0414e+00  -1.0093e+00  -3.8478e-02   4.2150e-03   2.0311e-05   8.9089e-02   1.9427e-02   1.8939e-01   8.7036e-02   9.2050e-01   8.3537e-02   1.0051e+00   8.1581e-02
+#> 411:    1.0250e+02  -4.0999e+00  -2.3238e+00  -4.0413e+00  -1.0092e+00  -3.8732e-02   4.2116e-03   2.0289e-05   8.9015e-02   1.9467e-02   1.8939e-01   8.7005e-02   9.2025e-01   8.3538e-02   1.0049e+00   8.1581e-02
+#> 412:    1.0250e+02  -4.0999e+00  -2.3238e+00  -4.0413e+00  -1.0092e+00  -3.8793e-02   4.2085e-03   2.0295e-05   8.9020e-02   1.9477e-02   1.8946e-01   8.7080e-02   9.2047e-01   8.3532e-02   1.0049e+00   8.1575e-02
+#> 413:    1.0250e+02  -4.0999e+00  -2.3236e+00  -4.0412e+00  -1.0093e+00  -3.8937e-02   4.2069e-03   2.0288e-05   8.9121e-02   1.9495e-02   1.8939e-01   8.7203e-02   9.2043e-01   8.3528e-02   1.0046e+00   8.1581e-02
+#> 414:    1.0250e+02  -4.0999e+00  -2.3233e+00  -4.0412e+00  -1.0093e+00  -3.9068e-02   4.2065e-03   2.0272e-05   8.9126e-02   1.9508e-02   1.8939e-01   8.7485e-02   9.2038e-01   8.3517e-02   1.0046e+00   8.1589e-02
+#> 415:    1.0250e+02  -4.0999e+00  -2.3234e+00  -4.0412e+00  -1.0092e+00  -3.9299e-02   4.2117e-03   2.0277e-05   8.8971e-02   1.9564e-02   1.8955e-01   8.7734e-02   9.2051e-01   8.3502e-02   1.0048e+00   8.1575e-02
+#> 416:    1.0250e+02  -4.0999e+00  -2.3232e+00  -4.0413e+00  -1.0092e+00  -3.9575e-02   4.2122e-03   2.0269e-05   8.8909e-02   1.9609e-02   1.8954e-01   8.7910e-02   9.2061e-01   8.3488e-02   1.0045e+00   8.1561e-02
+#> 417:    1.0250e+02  -4.0999e+00  -2.3228e+00  -4.0412e+00  -1.0092e+00  -3.9794e-02   4.2133e-03   2.0289e-05   8.8845e-02   1.9606e-02   1.8949e-01   8.8036e-02   9.2065e-01   8.3481e-02   1.0047e+00   8.1558e-02
+#> 418:    1.0250e+02  -4.0999e+00  -2.3226e+00  -4.0412e+00  -1.0092e+00  -4.0019e-02   4.2209e-03   2.0279e-05   8.8864e-02   1.9618e-02   1.8939e-01   8.8094e-02   9.2062e-01   8.3490e-02   1.0044e+00   8.1566e-02
+#> 419:    1.0250e+02  -4.0999e+00  -2.3225e+00  -4.0411e+00  -1.0092e+00  -4.0090e-02   4.2242e-03   2.0258e-05   8.9089e-02   1.9644e-02   1.8924e-01   8.8285e-02   9.2082e-01   8.3484e-02   1.0040e+00   8.1567e-02
+#> 420:    1.0250e+02  -4.0999e+00  -2.3223e+00  -4.0410e+00  -1.0091e+00  -4.0260e-02   4.2298e-03   2.0249e-05   8.9215e-02   1.9640e-02   1.8919e-01   8.8683e-02   9.2127e-01   8.3454e-02   1.0041e+00   8.1564e-02
+#> 421:    1.0250e+02  -4.0998e+00  -2.3222e+00  -4.0410e+00  -1.0090e+00  -4.0359e-02   4.2292e-03   2.0289e-05   8.9366e-02   1.9642e-02   1.8928e-01   8.8905e-02   9.2154e-01   8.3452e-02   1.0038e+00   8.1572e-02
+#> 422:    1.0250e+02  -4.0998e+00  -2.3223e+00  -4.0410e+00  -1.0088e+00  -4.0380e-02   4.2311e-03   2.0289e-05   8.9318e-02   1.9636e-02   1.8934e-01   8.9025e-02   9.2137e-01   8.3486e-02   1.0039e+00   8.1562e-02
+#> 423:    1.0250e+02  -4.0998e+00  -2.3224e+00  -4.0411e+00  -1.0088e+00  -4.0256e-02   4.2283e-03   2.0277e-05   8.9324e-02   1.9645e-02   1.8923e-01   8.9305e-02   9.2129e-01   8.3484e-02   1.0038e+00   8.1565e-02
+#> 424:    1.0250e+02  -4.0998e+00  -2.3226e+00  -4.0412e+00  -1.0088e+00  -4.0075e-02   4.2333e-03   2.0245e-05   8.9193e-02   1.9657e-02   1.8914e-01   8.9480e-02   9.2122e-01   8.3487e-02   1.0039e+00   8.1587e-02
+#> 425:    1.0250e+02  -4.0998e+00  -2.3226e+00  -4.0413e+00  -1.0088e+00  -3.9950e-02   4.2360e-03   2.0257e-05   8.9170e-02   1.9644e-02   1.8924e-01   8.9622e-02   9.2104e-01   8.3492e-02   1.0042e+00   8.1599e-02
+#> 426:    1.0250e+02  -4.0998e+00  -2.3226e+00  -4.0413e+00  -1.0088e+00  -3.9789e-02   4.2376e-03   2.0245e-05   8.9143e-02   1.9654e-02   1.8917e-01   8.9791e-02   9.2100e-01   8.3514e-02   1.0039e+00   8.1607e-02
+#> 427:    1.0250e+02  -4.0998e+00  -2.3224e+00  -4.0414e+00  -1.0087e+00  -3.9766e-02   4.2469e-03   2.0228e-05   8.9102e-02   1.9656e-02   1.8913e-01   9.0076e-02   9.2110e-01   8.3499e-02   1.0037e+00   8.1607e-02
+#> 428:    1.0250e+02  -4.0998e+00  -2.3225e+00  -4.0414e+00  -1.0088e+00  -3.9662e-02   4.2522e-03   2.0205e-05   8.9151e-02   1.9669e-02   1.8912e-01   9.0312e-02   9.2102e-01   8.3483e-02   1.0036e+00   8.1599e-02
+#> 429:    1.0250e+02  -4.0998e+00  -2.3225e+00  -4.0414e+00  -1.0089e+00  -3.9547e-02   4.2615e-03   2.0187e-05   8.9103e-02   1.9681e-02   1.8907e-01   9.0576e-02   9.2082e-01   8.3488e-02   1.0035e+00   8.1592e-02
+#> 430:    1.0250e+02  -4.0998e+00  -2.3224e+00  -4.0414e+00  -1.0088e+00  -3.9593e-02   4.2613e-03   2.0159e-05   8.9075e-02   1.9692e-02   1.8894e-01   9.0762e-02   9.2073e-01   8.3487e-02   1.0035e+00   8.1603e-02
+#> 431:    1.0250e+02  -4.0998e+00  -2.3223e+00  -4.0413e+00  -1.0088e+00  -3.9929e-02   4.2668e-03   2.0112e-05   8.8982e-02   1.9682e-02   1.8901e-01   9.0997e-02   9.2043e-01   8.3487e-02   1.0036e+00   8.1604e-02
+#> 432:    1.0250e+02  -4.0998e+00  -2.3223e+00  -4.0413e+00  -1.0088e+00  -4.0182e-02   4.2693e-03   2.0089e-05   8.8860e-02   1.9659e-02   1.8898e-01   9.1110e-02   9.2024e-01   8.3490e-02   1.0036e+00   8.1585e-02
+#> 433:    1.0250e+02  -4.0998e+00  -2.3222e+00  -4.0412e+00  -1.0088e+00  -4.0415e-02   4.2706e-03   2.0081e-05   8.8670e-02   1.9650e-02   1.8899e-01   9.1199e-02   9.1999e-01   8.3485e-02   1.0036e+00   8.1587e-02
+#> 434:    1.0250e+02  -4.0998e+00  -2.3220e+00  -4.0412e+00  -1.0087e+00  -4.0405e-02   4.2661e-03   2.0060e-05   8.8576e-02   1.9667e-02   1.8897e-01   9.1180e-02   9.1998e-01   8.3468e-02   1.0034e+00   8.1594e-02
+#> 435:    1.0250e+02  -4.0998e+00  -2.3218e+00  -4.0413e+00  -1.0087e+00  -4.0471e-02   4.2639e-03   2.0050e-05   8.8450e-02   1.9671e-02   1.8891e-01   9.1156e-02   9.1970e-01   8.3469e-02   1.0033e+00   8.1602e-02
+#> 436:    1.0250e+02  -4.0998e+00  -2.3216e+00  -4.0413e+00  -1.0086e+00  -4.0478e-02   4.2614e-03   2.0025e-05   8.8470e-02   1.9677e-02   1.8892e-01   9.1234e-02   9.1948e-01   8.3484e-02   1.0033e+00   8.1608e-02
+#> 437:    1.0250e+02  -4.0998e+00  -2.3214e+00  -4.0413e+00  -1.0086e+00  -4.0648e-02   4.2569e-03   2.0021e-05   8.8378e-02   1.9694e-02   1.8896e-01   9.1289e-02   9.1946e-01   8.3486e-02   1.0034e+00   8.1608e-02
+#> 438:    1.0250e+02  -4.0998e+00  -2.3214e+00  -4.0413e+00  -1.0085e+00  -4.0807e-02   4.2559e-03   2.0029e-05   8.8244e-02   1.9704e-02   1.8898e-01   9.1352e-02   9.1920e-01   8.3494e-02   1.0034e+00   8.1604e-02
+#> 439:    1.0250e+02  -4.0998e+00  -2.3215e+00  -4.0413e+00  -1.0084e+00  -4.0814e-02   4.2472e-03   2.0035e-05   8.8064e-02   1.9736e-02   1.8905e-01   9.1469e-02   9.1900e-01   8.3510e-02   1.0032e+00   8.1602e-02
+#> 440:    1.0250e+02  -4.0998e+00  -2.3216e+00  -4.0414e+00  -1.0084e+00  -4.0845e-02   4.2385e-03   2.0044e-05   8.7953e-02   1.9775e-02   1.8906e-01   9.1482e-02   9.1902e-01   8.3529e-02   1.0029e+00   8.1605e-02
+#> 441:    1.0250e+02  -4.0998e+00  -2.3218e+00  -4.0415e+00  -1.0084e+00  -4.0561e-02   4.2293e-03   2.0096e-05   8.7978e-02   1.9848e-02   1.8914e-01   9.1431e-02   9.1890e-01   8.3545e-02   1.0026e+00   8.1618e-02
+#> 442:    1.0250e+02  -4.0998e+00  -2.3219e+00  -4.0415e+00  -1.0085e+00  -4.0297e-02   4.2190e-03   2.0140e-05   8.8016e-02   1.9884e-02   1.8912e-01   9.1373e-02   9.1910e-01   8.3556e-02   1.0025e+00   8.1632e-02
+#> 443:    1.0250e+02  -4.0998e+00  -2.3222e+00  -4.0415e+00  -1.0086e+00  -4.0124e-02   4.2172e-03   2.0182e-05   8.8183e-02   1.9921e-02   1.8920e-01   9.1354e-02   9.1928e-01   8.3555e-02   1.0023e+00   8.1646e-02
+#> 444:    1.0250e+02  -4.0999e+00  -2.3223e+00  -4.0416e+00  -1.0084e+00  -4.0120e-02   4.2226e-03   2.0208e-05   8.8142e-02   1.9980e-02   1.8916e-01   9.1269e-02   9.1934e-01   8.3540e-02   1.0020e+00   8.1653e-02
+#> 445:    1.0250e+02  -4.0999e+00  -2.3223e+00  -4.0416e+00  -1.0083e+00  -4.0180e-02   4.2279e-03   2.0283e-05   8.8188e-02   2.0009e-02   1.8925e-01   9.1096e-02   9.1924e-01   8.3538e-02   1.0017e+00   8.1644e-02
+#> 446:    1.0250e+02  -4.0999e+00  -2.3223e+00  -4.0417e+00  -1.0084e+00  -4.0083e-02   4.2373e-03   2.0357e-05   8.8255e-02   2.0030e-02   1.8937e-01   9.0921e-02   9.1921e-01   8.3535e-02   1.0015e+00   8.1652e-02
+#> 447:    1.0250e+02  -4.0999e+00  -2.3223e+00  -4.0417e+00  -1.0083e+00  -4.0032e-02   4.2591e-03   2.0418e-05   8.8322e-02   2.0055e-02   1.8931e-01   9.0741e-02   9.1928e-01   8.3527e-02   1.0011e+00   8.1662e-02
+#> 448:    1.0250e+02  -4.0999e+00  -2.3224e+00  -4.0417e+00  -1.0083e+00  -4.0042e-02   4.2759e-03   2.0499e-05   8.8372e-02   2.0083e-02   1.8935e-01   9.0554e-02   9.1942e-01   8.3524e-02   1.0010e+00   8.1661e-02
+#> 449:    1.0250e+02  -4.0999e+00  -2.3224e+00  -4.0417e+00  -1.0083e+00  -4.0219e-02   4.2779e-03   2.0525e-05   8.8377e-02   2.0104e-02   1.8937e-01   9.0424e-02   9.1970e-01   8.3510e-02   1.0009e+00   8.1654e-02
+#> 450:    1.0250e+02  -4.0999e+00  -2.3223e+00  -4.0416e+00  -1.0084e+00  -4.0390e-02   4.2779e-03   2.0520e-05   8.8387e-02   2.0120e-02   1.8939e-01   9.0277e-02   9.1991e-01   8.3489e-02   1.0010e+00   8.1662e-02
+#> 451:    1.0250e+02  -4.0999e+00  -2.3221e+00  -4.0415e+00  -1.0085e+00  -4.0403e-02   4.2785e-03   2.0554e-05   8.8442e-02   2.0130e-02   1.8934e-01   9.0032e-02   9.2001e-01   8.3485e-02   1.0011e+00   8.1676e-02
+#> 452:    1.0250e+02  -4.0999e+00  -2.3220e+00  -4.0415e+00  -1.0084e+00  -4.0503e-02   4.2730e-03   2.0537e-05   8.8507e-02   2.0135e-02   1.8926e-01   8.9777e-02   9.2031e-01   8.3473e-02   1.0013e+00   8.1671e-02
+#> 453:    1.0250e+02  -4.0999e+00  -2.3221e+00  -4.0415e+00  -1.0084e+00  -4.0716e-02   4.2650e-03   2.0525e-05   8.8565e-02   2.0168e-02   1.8921e-01   8.9653e-02   9.2030e-01   8.3473e-02   1.0010e+00   8.1665e-02
+#> 454:    1.0250e+02  -4.0999e+00  -2.3221e+00  -4.0415e+00  -1.0083e+00  -4.0900e-02   4.2583e-03   2.0505e-05   8.8572e-02   2.0194e-02   1.8912e-01   8.9524e-02   9.2039e-01   8.3457e-02   1.0009e+00   8.1658e-02
+#> 455:    1.0250e+02  -4.0999e+00  -2.3220e+00  -4.0415e+00  -1.0083e+00  -4.0930e-02   4.2524e-03   2.0495e-05   8.8643e-02   2.0246e-02   1.8914e-01   8.9416e-02   9.2035e-01   8.3454e-02   1.0006e+00   8.1655e-02
+#> 456:    1.0250e+02  -4.0999e+00  -2.3218e+00  -4.0414e+00  -1.0084e+00  -4.1008e-02   4.2455e-03   2.0482e-05   8.8831e-02   2.0290e-02   1.8904e-01   8.9438e-02   9.2042e-01   8.3448e-02   1.0005e+00   8.1672e-02
+#> 457:    1.0250e+02  -4.0999e+00  -2.3216e+00  -4.0414e+00  -1.0085e+00  -4.1073e-02   4.2376e-03   2.0479e-05   8.8831e-02   2.0310e-02   1.8893e-01   8.9411e-02   9.2049e-01   8.3438e-02   1.0005e+00   8.1677e-02
+#> 458:    1.0250e+02  -4.0999e+00  -2.3215e+00  -4.0414e+00  -1.0085e+00  -4.1036e-02   4.2288e-03   2.0479e-05   8.8894e-02   2.0311e-02   1.8879e-01   8.9378e-02   9.2055e-01   8.3419e-02   1.0006e+00   8.1689e-02
+#> 459:    1.0250e+02  -4.0999e+00  -2.3216e+00  -4.0414e+00  -1.0085e+00  -4.1084e-02   4.2296e-03   2.0472e-05   8.8976e-02   2.0290e-02   1.8876e-01   8.9365e-02   9.2056e-01   8.3404e-02   1.0007e+00   8.1678e-02
+#> 460:    1.0250e+02  -4.0999e+00  -2.3215e+00  -4.0414e+00  -1.0084e+00  -4.1065e-02   4.2257e-03   2.0473e-05   8.8978e-02   2.0254e-02   1.8871e-01   8.9287e-02   9.2061e-01   8.3386e-02   1.0007e+00   8.1663e-02
+#> 461:    1.0250e+02  -4.0999e+00  -2.3213e+00  -4.0414e+00  -1.0084e+00  -4.1142e-02   4.2254e-03   2.0441e-05   8.8952e-02   2.0238e-02   1.8864e-01   8.9236e-02   9.2067e-01   8.3359e-02   1.0007e+00   8.1670e-02
+#> 462:    1.0250e+02  -4.0999e+00  -2.3213e+00  -4.0413e+00  -1.0083e+00  -4.1199e-02   4.2230e-03   2.0409e-05   8.9161e-02   2.0235e-02   1.8852e-01   8.9179e-02   9.2070e-01   8.3339e-02   1.0005e+00   8.1686e-02
+#> 463:    1.0250e+02  -4.0999e+00  -2.3214e+00  -4.0413e+00  -1.0084e+00  -4.1131e-02   4.2191e-03   2.0397e-05   8.9356e-02   2.0251e-02   1.8850e-01   8.9138e-02   9.2098e-01   8.3308e-02   1.0003e+00   8.1688e-02
+#> 464:    1.0250e+02  -4.0999e+00  -2.3213e+00  -4.0414e+00  -1.0084e+00  -4.0937e-02   4.2187e-03   2.0395e-05   8.9553e-02   2.0237e-02   1.8848e-01   8.9097e-02   9.2108e-01   8.3293e-02   1.0001e+00   8.1684e-02
+#> 465:    1.0250e+02  -4.0999e+00  -2.3213e+00  -4.0414e+00  -1.0086e+00  -4.0873e-02   4.2226e-03   2.0374e-05   8.9675e-02   2.0210e-02   1.8854e-01   8.9045e-02   9.2115e-01   8.3282e-02   1.0002e+00   8.1678e-02
+#> 466:    1.0250e+02  -4.0999e+00  -2.3213e+00  -4.0414e+00  -1.0085e+00  -4.1046e-02   4.2312e-03   2.0379e-05   8.9703e-02   2.0232e-02   1.8852e-01   8.9031e-02   9.2100e-01   8.3294e-02   9.9982e-01   8.1665e-02
+#> 467:    1.0250e+02  -4.0999e+00  -2.3214e+00  -4.0414e+00  -1.0086e+00  -4.1081e-02   4.2382e-03   2.0421e-05   8.9802e-02   2.0266e-02   1.8851e-01   8.9175e-02   9.2124e-01   8.3271e-02   9.9943e-01   8.1671e-02
+#> 468:    1.0250e+02  -4.0999e+00  -2.3215e+00  -4.0414e+00  -1.0085e+00  -4.1107e-02   4.2412e-03   2.0446e-05   8.9937e-02   2.0281e-02   1.8857e-01   8.9238e-02   9.2125e-01   8.3255e-02   9.9912e-01   8.1659e-02
+#> 469:    1.0250e+02  -4.0999e+00  -2.3214e+00  -4.0414e+00  -1.0084e+00  -4.1269e-02   4.2380e-03   2.0449e-05   8.9938e-02   2.0285e-02   1.8867e-01   8.9378e-02   9.2144e-01   8.3225e-02   9.9906e-01   8.1651e-02
+#> 470:    1.0250e+02  -4.0999e+00  -2.3212e+00  -4.0413e+00  -1.0083e+00  -4.1552e-02   4.2384e-03   2.0437e-05   8.9924e-02   2.0280e-02   1.8878e-01   8.9520e-02   9.2149e-01   8.3205e-02   9.9880e-01   8.1648e-02
+#> 471:    1.0250e+02  -4.0999e+00  -2.3210e+00  -4.0412e+00  -1.0082e+00  -4.2096e-02   4.2375e-03   2.0433e-05   8.9875e-02   2.0267e-02   1.8880e-01   8.9608e-02   9.2149e-01   8.3221e-02   9.9869e-01   8.1642e-02
+#> 472:    1.0250e+02  -4.0999e+00  -2.3210e+00  -4.0411e+00  -1.0081e+00  -4.2380e-02   4.2446e-03   2.0435e-05   8.9823e-02   2.0262e-02   1.8885e-01   8.9602e-02   9.2156e-01   8.3233e-02   9.9868e-01   8.1643e-02
+#> 473:    1.0250e+02  -4.0999e+00  -2.3210e+00  -4.0410e+00  -1.0080e+00  -4.2522e-02   4.2486e-03   2.0429e-05   8.9793e-02   2.0231e-02   1.8877e-01   8.9608e-02   9.2177e-01   8.3210e-02   9.9901e-01   8.1637e-02
+#> 474:    1.0250e+02  -4.0999e+00  -2.3209e+00  -4.0410e+00  -1.0079e+00  -4.2640e-02   4.2536e-03   2.0403e-05   8.9731e-02   2.0213e-02   1.8876e-01   8.9632e-02   9.2177e-01   8.3192e-02   9.9942e-01   8.1632e-02
+#> 475:    1.0250e+02  -4.0999e+00  -2.3208e+00  -4.0409e+00  -1.0079e+00  -4.2882e-02   4.2576e-03   2.0375e-05   8.9666e-02   2.0190e-02   1.8866e-01   8.9718e-02   9.2160e-01   8.3218e-02   9.9931e-01   8.1622e-02
+#> 476:    1.0250e+02  -4.0999e+00  -2.3207e+00  -4.0409e+00  -1.0080e+00  -4.2983e-02   4.2599e-03   2.0368e-05   8.9563e-02   2.0171e-02   1.8859e-01   8.9777e-02   9.2162e-01   8.3236e-02   9.9932e-01   8.1620e-02
+#> 477:    1.0250e+02  -4.0999e+00  -2.3205e+00  -4.0410e+00  -1.0081e+00  -4.3022e-02   4.2570e-03   2.0364e-05   8.9440e-02   2.0166e-02   1.8860e-01   8.9785e-02   9.2171e-01   8.3236e-02   9.9940e-01   8.1633e-02
+#> 478:    1.0250e+02  -4.0999e+00  -2.3203e+00  -4.0410e+00  -1.0080e+00  -4.3129e-02   4.2505e-03   2.0371e-05   8.9374e-02   2.0151e-02   1.8859e-01   8.9826e-02   9.2171e-01   8.3224e-02   9.9970e-01   8.1620e-02
+#> 479:    1.0250e+02  -4.1000e+00  -2.3201e+00  -4.0410e+00  -1.0080e+00  -4.3186e-02   4.2440e-03   2.0373e-05   8.9355e-02   2.0133e-02   1.8858e-01   8.9837e-02   9.2168e-01   8.3214e-02   9.9991e-01   8.1621e-02
+#> 480:    1.0250e+02  -4.1000e+00  -2.3198e+00  -4.0410e+00  -1.0080e+00  -4.3477e-02   4.2424e-03   2.0440e-05   8.9311e-02   2.0121e-02   1.8857e-01   8.9848e-02   9.2158e-01   8.3221e-02   9.9995e-01   8.1627e-02
+#> 481:    1.0250e+02  -4.1000e+00  -2.3194e+00  -4.0410e+00  -1.0079e+00  -4.3647e-02   4.2358e-03   2.0479e-05   8.9315e-02   2.0096e-02   1.8851e-01   8.9865e-02   9.2159e-01   8.3197e-02   1.0002e+00   8.1642e-02
+#> 482:    1.0250e+02  -4.1000e+00  -2.3188e+00  -4.0409e+00  -1.0079e+00  -4.3909e-02   4.2370e-03   2.0551e-05   8.9382e-02   2.0085e-02   1.8840e-01   8.9799e-02   9.2147e-01   8.3229e-02   1.0001e+00   8.1656e-02
+#> 483:    1.0250e+02  -4.1000e+00  -2.3189e+00  -4.0409e+00  -1.0078e+00  -4.4169e-02   4.2467e-03   2.0587e-05   8.9377e-02   2.0054e-02   1.8838e-01   8.9943e-02   9.2130e-01   8.3237e-02   1.0003e+00   8.1650e-02
+#> 484:    1.0250e+02  -4.1000e+00  -2.3188e+00  -4.0408e+00  -1.0078e+00  -4.4346e-02   4.2627e-03   2.0605e-05   8.9450e-02   2.0020e-02   1.8840e-01   9.0090e-02   9.2114e-01   8.3237e-02   1.0004e+00   8.1639e-02
+#> 485:    1.0250e+02  -4.1000e+00  -2.3185e+00  -4.0408e+00  -1.0079e+00  -4.4414e-02   4.2737e-03   2.0594e-05   8.9541e-02   1.9999e-02   1.8842e-01   9.0237e-02   9.2116e-01   8.3227e-02   1.0004e+00   8.1641e-02
+#> 486:    1.0250e+02  -4.1000e+00  -2.3183e+00  -4.0408e+00  -1.0080e+00  -4.4572e-02   4.2902e-03   2.0581e-05   8.9733e-02   1.9978e-02   1.8837e-01   9.0412e-02   9.2098e-01   8.3224e-02   1.0003e+00   8.1642e-02
+#> 487:    1.0250e+02  -4.1000e+00  -2.3182e+00  -4.0407e+00  -1.0081e+00  -4.4698e-02   4.2979e-03   2.0560e-05   8.9822e-02   1.9954e-02   1.8827e-01   9.0744e-02   9.2114e-01   8.3212e-02   1.0003e+00   8.1644e-02
+#> 488:    1.0250e+02  -4.1000e+00  -2.3180e+00  -4.0406e+00  -1.0081e+00  -4.4892e-02   4.3035e-03   2.0549e-05   8.9849e-02   1.9928e-02   1.8816e-01   9.1000e-02   9.2118e-01   8.3206e-02   1.0003e+00   8.1644e-02
+#> 489:    1.0250e+02  -4.1000e+00  -2.3180e+00  -4.0406e+00  -1.0081e+00  -4.5037e-02   4.2987e-03   2.0515e-05   8.9843e-02   1.9906e-02   1.8815e-01   9.1260e-02   9.2116e-01   8.3190e-02   1.0001e+00   8.1633e-02
+#> 490:    1.0250e+02  -4.1000e+00  -2.3179e+00  -4.0405e+00  -1.0081e+00  -4.5139e-02   4.2930e-03   2.0508e-05   8.9827e-02   1.9887e-02   1.8814e-01   9.1545e-02   9.2114e-01   8.3178e-02   9.9991e-01   8.1624e-02
+#> 491:    1.0250e+02  -4.1000e+00  -2.3179e+00  -4.0405e+00  -1.0081e+00  -4.5107e-02   4.2871e-03   2.0490e-05   8.9765e-02   1.9855e-02   1.8814e-01   9.1702e-02   9.2089e-01   8.3179e-02   9.9986e-01   8.1624e-02
+#> 492:    1.0250e+02  -4.1000e+00  -2.3178e+00  -4.0405e+00  -1.0080e+00  -4.5192e-02   4.2818e-03   2.0470e-05   8.9791e-02   1.9831e-02   1.8810e-01   9.1846e-02   9.2086e-01   8.3164e-02   9.9977e-01   8.1630e-02
+#> 493:    1.0250e+02  -4.1000e+00  -2.3179e+00  -4.0406e+00  -1.0078e+00  -4.4968e-02   4.2782e-03   2.0452e-05   8.9797e-02   1.9804e-02   1.8806e-01   9.1987e-02   9.2080e-01   8.3146e-02   9.9982e-01   8.1627e-02
+#> 494:    1.0250e+02  -4.1000e+00  -2.3180e+00  -4.0406e+00  -1.0078e+00  -4.4773e-02   4.2766e-03   2.0453e-05   8.9696e-02   1.9781e-02   1.8805e-01   9.2096e-02   9.2057e-01   8.3148e-02   9.9999e-01   8.1611e-02
+#> 495:    1.0250e+02  -4.1000e+00  -2.3181e+00  -4.0408e+00  -1.0078e+00  -4.4647e-02   4.2798e-03   2.0446e-05   8.9661e-02   1.9763e-02   1.8804e-01   9.2155e-02   9.2039e-01   8.3137e-02   9.9999e-01   8.1599e-02
+#> 496:    1.0250e+02  -4.1000e+00  -2.3182e+00  -4.0408e+00  -1.0079e+00  -4.4482e-02   4.2851e-03   2.0434e-05   8.9630e-02   1.9750e-02   1.8796e-01   9.2258e-02   9.2042e-01   8.3124e-02   1.0000e+00   8.1601e-02
+#> 497:    1.0250e+02  -4.1000e+00  -2.3184e+00  -4.0409e+00  -1.0079e+00  -4.4175e-02   4.2866e-03   2.0423e-05   8.9656e-02   1.9743e-02   1.8789e-01   9.2225e-02   9.2017e-01   8.3126e-02   1.0002e+00   8.1616e-02
+#> 498:    1.0250e+02  -4.1000e+00  -2.3187e+00  -4.0409e+00  -1.0079e+00  -4.3826e-02   4.2847e-03   2.0406e-05   8.9587e-02   1.9730e-02   1.8781e-01   9.2143e-02   9.2017e-01   8.3156e-02   1.0002e+00   8.1613e-02
+#> 499:    1.0250e+02  -4.1000e+00  -2.3190e+00  -4.0409e+00  -1.0078e+00  -4.3529e-02   4.2806e-03   2.0397e-05   8.9653e-02   1.9712e-02   1.8779e-01   9.2107e-02   9.2028e-01   8.3172e-02   1.0004e+00   8.1607e-02
+#> 500:    1.0250e+02  -4.1000e+00  -2.3193e+00  -4.0409e+00  -1.0077e+00  -4.3241e-02   4.2787e-03   2.0390e-05   8.9759e-02   1.9689e-02   1.8773e-01   9.2021e-02   9.2029e-01   8.3203e-02   1.0006e+00   8.1613e-02
+#> Calculating covariance matrix
+#> 
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> Needed Covariates:
+#> [1] "CMT"
+#> Calculating residuals/tables
+#> done
+# The following takes a very long time but gives
+f_nlmixr_dfop_sfo_focei <- nlmixr(f_mmkin_dfop_sfo, est = "focei")
+#> ℹ parameter labels from comments are typically ignored in non-interactive mode
+#> ℹ Need to run with the source intact to parse comments
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → creating full model...
+#> → pruning branches (`if`/`else`)...
+#> ✔ done
+#> → loading into symengine environment...
+#> ✔ done
+#> → calculate jacobian
+#> 
+#> → calculate sensitivities
+#> 
+#> → calculate ∂(f)/∂(η)
+#> 
+#> → calculate ∂(R²)/∂(η)
+#> 
+#> → finding duplicate expressions in inner model...
+#> 
+#> → optimizing duplicate expressions in inner model...
+#> 
+#> → finding duplicate expressions in EBE model...
+#> 
+#> → optimizing duplicate expressions in EBE model...
+#> 
+#> → compiling inner model...
+#>  
+#> ✔ done
+#> → finding duplicate expressions in FD model...
+#> 
+#> → optimizing duplicate expressions in FD model...
+#> 
+#> → compiling EBE model...
+#>  
+#> ✔ done
+#> → compiling events FD model...
+#>  
+#> ✔ done
+#> Needed Covariates:
+#> [1] "CMT"
+#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
+#> F: Forward difference gradient approximation
+#> C: Central difference gradient approximation
+#> M: Mixed forward and central difference gradient approximation
+#> Unscaled parameters for Omegas=chol(solve(omega));
+#> Diagonals are transformed, as specified by foceiControl(diagXform=)
+#> |-----+---------------+-----------+-----------+-----------+-----------|
+#> |    #| Objective Fun |  parent_0 |  log_k_m1 |f_parent_qlogis |    log_k1 |
+#> |.....................|    log_k2 |  g_qlogis | sigma_low |  rsd_high |
+#> |.....................|        o1 |        o2 |        o3 |        o4 |
+#> |.....................|        o5 |        o6 |...........|...........|
+#> |    1|     496.69520 |     1.000 |    -1.000 |   -0.9393 |   -0.9673 |
+#> |.....................|    -1.000 |   -0.9214 |   -0.9072 |   -0.9199 |
+#> |.....................|   -0.9082 |   -0.8909 |   -0.8969 |   -0.8991 |
+#> |.....................|   -0.8928 |   -0.8991 |...........|...........|
+#> |    U|      496.6952 |     100.0 |    -4.100 |   -0.9400 |    -2.400 |
+#> |.....................|    -4.100 |  -0.01100 |    0.7300 |   0.06700 |
+#> |.....................|    0.6756 |     1.581 |     1.265 |     1.151 |
+#> |.....................|     1.477 |     1.151 |...........|...........|
+#> |    X|      496.6952 |     100.0 |   0.01657 |    0.2809 |   0.09072 |
+#> |.....................|   0.01657 |    0.4973 |    0.7300 |   0.06700 |
+#> |.....................|    0.6756 |     1.581 |     1.265 |     1.151 |
+#> |.....................|     1.477 |     1.151 |...........|...........|
+#> |    G|    Gill Diff. |    -72.99 |    -3.907 |   -0.8109 |   0.02803 |
+#> |.....................|    -1.841 |  0.006841 |    -22.18 |    -32.78 |
+#> |.....................|     3.538 |    -16.93 |    -12.84 |    -12.77 |
+#> |.....................|    -15.02 |    -9.608 |...........|...........|
+#> |    2|     1346.5436 |     1.823 |   -0.9559 |   -0.9301 |   -0.9677 |
+#> |.....................|   -0.9792 |   -0.9215 |   -0.6570 |   -0.5501 |
+#> |.....................|   -0.9482 |   -0.6999 |   -0.7521 |   -0.7551 |
+#> |.....................|   -0.7234 |   -0.7907 |...........|...........|
+#> |    U|     1346.5436 |     182.3 |    -4.056 |   -0.9314 |    -2.400 |
+#> |.....................|    -4.079 |  -0.01100 |    0.8213 |   0.07939 |
+#> |.....................|    0.6486 |     1.883 |     1.449 |     1.317 |
+#> |.....................|     1.728 |     1.276 |...........|...........|
+#> |    X|     1346.5436 |     182.3 |   0.01732 |    0.2826 |   0.09069 |
+#> |.....................|   0.01692 |    0.4972 |    0.8213 |   0.07939 |
+#> |.....................|    0.6486 |     1.883 |     1.449 |     1.317 |
+#> |.....................|     1.728 |     1.276 |...........|...........|
+#> |    3|     512.48246 |     1.082 |   -0.9956 |   -0.9384 |   -0.9674 |
+#> |.....................|   -0.9979 |   -0.9214 |   -0.8822 |   -0.8830 |
+#> |.....................|   -0.9122 |   -0.8718 |   -0.8824 |   -0.8847 |
+#> |.....................|   -0.8759 |   -0.8883 |...........|...........|
+#> |    U|     512.48246 |     108.2 |    -4.096 |   -0.9391 |    -2.400 |
+#> |.....................|    -4.098 |  -0.01100 |    0.7391 |   0.06824 |
+#> |.....................|    0.6729 |     1.611 |     1.284 |     1.167 |
+#> |.....................|     1.502 |     1.163 |...........|...........|
+#> |    X|     512.48246 |     108.2 |   0.01665 |    0.2811 |   0.09072 |
+#> |.....................|   0.01661 |    0.4973 |    0.7391 |   0.06824 |
+#> |.....................|    0.6729 |     1.611 |     1.284 |     1.167 |
+#> |.....................|     1.502 |     1.163 |...........|...........|
+#> |    4|     495.95762 |     1.015 |   -0.9992 |   -0.9391 |   -0.9673 |
+#> |.....................|   -0.9996 |   -0.9214 |   -0.9027 |   -0.9133 |
+#> |.....................|   -0.9090 |   -0.8874 |   -0.8943 |   -0.8965 |
+#> |.....................|   -0.8898 |   -0.8972 |...........|...........|
+#> |    U|     495.95762 |     101.5 |    -4.099 |   -0.9398 |    -2.400 |
+#> |.....................|    -4.100 |  -0.01100 |    0.7316 |   0.06722 |
+#> |.....................|    0.6751 |     1.587 |     1.269 |     1.154 |
+#> |.....................|     1.482 |     1.153 |...........|...........|
+#> |    X|     495.95762 |     101.5 |   0.01659 |    0.2809 |   0.09072 |
+#> |.....................|   0.01658 |    0.4973 |    0.7316 |   0.06722 |
+#> |.....................|    0.6751 |     1.587 |     1.269 |     1.154 |
+#> |.....................|     1.482 |     1.153 |...........|...........|
+#> |    F| Forward Diff. |     41.81 |    -3.013 |  -0.08916 |   -0.3303 |
+#> |.....................|    -1.914 |  0.005472 |    -23.39 |    -29.38 |
+#> |.....................|     3.465 |    -17.07 |    -12.49 |    -12.74 |
+#> |.....................|    -15.23 |    -9.735 |...........|...........|
+#> |    5|     495.32815 |     1.003 |   -0.9984 |   -0.9391 |   -0.9673 |
+#> |.....................|   -0.9991 |   -0.9214 |   -0.8962 |   -0.9051 |
+#> |.....................|   -0.9099 |   -0.8826 |   -0.8908 |   -0.8930 |
+#> |.....................|   -0.8855 |   -0.8944 |...........|...........|
+#> |    U|     495.32815 |     100.3 |    -4.098 |   -0.9398 |    -2.400 |
+#> |.....................|    -4.099 |  -0.01100 |    0.7340 |   0.06750 |
+#> |.....................|    0.6745 |     1.594 |     1.273 |     1.158 |
+#> |.....................|     1.488 |     1.156 |...........|...........|
+#> |    X|     495.32815 |     100.3 |   0.01660 |    0.2809 |   0.09073 |
+#> |.....................|   0.01659 |    0.4973 |    0.7340 |   0.06750 |
+#> |.....................|    0.6745 |     1.594 |     1.273 |     1.158 |
+#> |.....................|     1.488 |     1.156 |...........|...........|
+#> |    F| Forward Diff. |    -47.70 |    -3.739 |   -0.6694 |  -0.04580 |
+#> |.....................|    -1.870 |  0.006670 |    -22.76 |    -30.26 |
+#> |.....................|     3.613 |    -16.75 |    -12.29 |    -12.38 |
+#> |.....................|    -15.09 |    -9.486 |...........|...........|
+#> |    6|     494.72051 |     1.016 |   -0.9974 |   -0.9389 |   -0.9672 |
+#> |.....................|   -0.9986 |   -0.9214 |   -0.8902 |   -0.8971 |
+#> |.....................|   -0.9109 |   -0.8782 |   -0.8876 |   -0.8897 |
+#> |.....................|   -0.8816 |   -0.8919 |...........|...........|
+#> |    U|     494.72051 |     101.6 |    -4.097 |   -0.9397 |    -2.400 |
+#> |.....................|    -4.099 |  -0.01100 |    0.7362 |   0.06777 |
+#> |.....................|    0.6738 |     1.601 |     1.277 |     1.162 |
+#> |.....................|     1.494 |     1.159 |...........|...........|
+#> |    X|     494.72051 |     101.6 |   0.01662 |    0.2810 |   0.09073 |
+#> |.....................|   0.01660 |    0.4973 |    0.7362 |   0.06777 |
+#> |.....................|    0.6738 |     1.601 |     1.277 |     1.162 |
+#> |.....................|     1.494 |     1.159 |...........|...........|
+#> |    F| Forward Diff. |     48.34 |    -2.939 |  -0.03847 |   -0.3608 |
+#> |.....................|    -1.945 |  0.005434 |    -20.90 |    -26.17 |
+#> |.....................|     3.821 |    -17.00 |    -12.53 |    -12.70 |
+#> |.....................|    -15.56 |    -9.587 |...........|...........|
+#> |    7|     494.15722 |     1.003 |   -0.9966 |   -0.9389 |   -0.9671 |
+#> |.....................|   -0.9981 |   -0.9214 |   -0.8845 |   -0.8900 |
+#> |.....................|   -0.9119 |   -0.8736 |   -0.8842 |   -0.8863 |
+#> |.....................|   -0.8773 |   -0.8893 |...........|...........|
+#> |    U|     494.15722 |     100.3 |    -4.097 |   -0.9396 |    -2.400 |
+#> |.....................|    -4.098 |  -0.01100 |    0.7383 |   0.06800 |
+#> |.....................|    0.6731 |     1.608 |     1.282 |     1.166 |
+#> |.....................|     1.500 |     1.162 |...........|...........|
+#> |    X|     494.15722 |     100.3 |   0.01663 |    0.2810 |   0.09074 |
+#> |.....................|   0.01660 |    0.4973 |    0.7383 |   0.06800 |
+#> |.....................|    0.6731 |     1.608 |     1.282 |     1.166 |
+#> |.....................|     1.500 |     1.162 |...........|...........|
+#> |    F| Forward Diff. |    -50.36 |    -3.770 |   -0.7003 |  -0.03307 |
+#> |.....................|    -1.882 |  0.006830 |    -20.02 |    -28.64 |
+#> |.....................|     3.020 |    -16.49 |    -12.31 |    -12.33 |
+#> |.....................|    -14.87 |    -9.319 |...........|...........|
+#> |    8|     493.49185 |     1.015 |   -0.9955 |   -0.9387 |   -0.9671 |
+#> |.....................|   -0.9975 |   -0.9214 |   -0.8787 |   -0.8818 |
+#> |.....................|   -0.9128 |   -0.8688 |   -0.8806 |   -0.8827 |
+#> |.....................|   -0.8730 |   -0.8866 |...........|...........|
+#> |    U|     493.49185 |     101.5 |    -4.096 |   -0.9395 |    -2.400 |
+#> |.....................|    -4.098 |  -0.01100 |    0.7404 |   0.06828 |
+#> |.....................|    0.6725 |     1.616 |     1.286 |     1.170 |
+#> |.....................|     1.507 |     1.165 |...........|...........|
+#> |    X|     493.49185 |     101.5 |   0.01665 |    0.2810 |   0.09074 |
+#> |.....................|   0.01661 |    0.4973 |    0.7404 |   0.06828 |
+#> |.....................|    0.6725 |     1.616 |     1.286 |     1.170 |
+#> |.....................|     1.507 |     1.165 |...........|...........|
+#> |    F| Forward Diff. |     41.03 |    -2.976 |  -0.07989 |   -0.3421 |
+#> |.....................|    -1.950 |  0.005619 |    -20.95 |    -25.58 |
+#> |.....................|     3.377 |    -16.59 |    -11.95 |    -12.23 |
+#> |.....................|    -14.73 |    -9.398 |...........|...........|
+#> |    9|     492.95463 |     1.003 |   -0.9946 |   -0.9387 |   -0.9670 |
+#> |.....................|   -0.9969 |   -0.9215 |   -0.8725 |   -0.8742 |
+#> |.....................|   -0.9138 |   -0.8639 |   -0.8771 |   -0.8790 |
+#> |.....................|   -0.8686 |   -0.8839 |...........|...........|
+#> |    U|     492.95463 |     100.3 |    -4.095 |   -0.9394 |    -2.400 |
+#> |.....................|    -4.097 |  -0.01100 |    0.7427 |   0.06853 |
+#> |.....................|    0.6718 |     1.624 |     1.291 |     1.174 |
+#> |.....................|     1.513 |     1.168 |...........|...........|
+#> |    X|     492.95463 |     100.3 |   0.01666 |    0.2810 |   0.09075 |
+#> |.....................|   0.01662 |    0.4973 |    0.7427 |   0.06853 |
+#> |.....................|    0.6718 |     1.624 |     1.291 |     1.174 |
+#> |.....................|     1.513 |     1.168 |...........|...........|
+#> |    F| Forward Diff. |    -49.97 |    -3.772 |   -0.7121 |  -0.02926 |
+#> |.....................|    -1.890 |  0.006985 |    -18.86 |    -26.85 |
+#> |.....................|     2.866 |    -16.28 |    -11.70 |    -11.82 |
+#> |.....................|    -14.59 |    -9.132 |...........|...........|
+#> |   10|     492.31444 |     1.015 |   -0.9935 |   -0.9385 |   -0.9670 |
+#> |.....................|   -0.9964 |   -0.9215 |   -0.8668 |   -0.8662 |
+#> |.....................|   -0.9147 |   -0.8589 |   -0.8735 |   -0.8755 |
+#> |.....................|   -0.8642 |   -0.8811 |...........|...........|
+#> |    U|     492.31444 |     101.5 |    -4.094 |   -0.9393 |    -2.400 |
+#> |.....................|    -4.096 |  -0.01100 |    0.7448 |   0.06880 |
+#> |.....................|    0.6712 |     1.632 |     1.295 |     1.178 |
+#> |.....................|     1.520 |     1.172 |...........|...........|
+#> |    X|     492.31444 |     101.5 |   0.01668 |    0.2810 |   0.09075 |
+#> |.....................|   0.01663 |    0.4972 |    0.7448 |   0.06880 |
+#> |.....................|    0.6712 |     1.632 |     1.295 |     1.178 |
+#> |.....................|     1.520 |     1.172 |...........|...........|
+#> |    F| Forward Diff. |     40.47 |    -2.944 |  -0.07505 |   -0.3464 |
+#> |.....................|    -1.962 |  0.005707 |    -18.58 |    -22.75 |
+#> |.....................|     3.454 |    -16.50 |    -11.93 |    -12.14 |
+#> |.....................|    -15.04 |    -9.193 |...........|...........|
+#> |   11|     491.79472 |     1.003 |   -0.9926 |   -0.9385 |   -0.9669 |
+#> |.....................|   -0.9957 |   -0.9215 |   -0.8609 |   -0.8590 |
+#> |.....................|   -0.9158 |   -0.8537 |   -0.8697 |   -0.8716 |
+#> |.....................|   -0.8594 |   -0.8781 |...........|...........|
+#> |    U|     491.79472 |     100.3 |    -4.093 |   -0.9392 |    -2.400 |
+#> |.....................|    -4.096 |  -0.01100 |    0.7469 |   0.06904 |
+#> |.....................|    0.6705 |     1.640 |     1.300 |     1.183 |
+#> |.....................|     1.527 |     1.175 |...........|...........|
+#> |    X|     491.79472 |     100.3 |   0.01670 |    0.2811 |   0.09076 |
+#> |.....................|   0.01664 |    0.4972 |    0.7469 |   0.06904 |
+#> |.....................|    0.6705 |     1.640 |     1.300 |     1.183 |
+#> |.....................|     1.527 |     1.175 |...........|...........|
+#> |    F| Forward Diff. |    -48.84 |    -3.756 |   -0.7183 |  -0.02810 |
+#> |.....................|    -1.902 |  0.007122 |    -19.51 |    -25.13 |
+#> |.....................|     2.711 |    -16.03 |    -11.73 |    -11.80 |
+#> |.....................|    -14.28 |    -8.965 |...........|...........|
+#> |   12|     491.12641 |     1.014 |   -0.9913 |   -0.9383 |   -0.9669 |
+#> |.....................|   -0.9951 |   -0.9215 |   -0.8546 |   -0.8511 |
+#> |.....................|   -0.9167 |   -0.8483 |   -0.8658 |   -0.8677 |
+#> |.....................|   -0.8546 |   -0.8752 |...........|...........|
+#> |    U|     491.12641 |     101.4 |    -4.091 |   -0.9390 |    -2.400 |
+#> |.....................|    -4.095 |  -0.01100 |    0.7492 |   0.06931 |
+#> |.....................|    0.6699 |     1.648 |     1.305 |     1.187 |
+#> |.....................|     1.534 |     1.178 |...........|...........|
+#> |    X|     491.12641 |     101.4 |   0.01672 |    0.2811 |   0.09076 |
+#> |.....................|   0.01665 |    0.4972 |    0.7492 |   0.06931 |
+#> |.....................|    0.6699 |     1.648 |     1.305 |     1.187 |
+#> |.....................|     1.534 |     1.178 |...........|...........|
+#> |    F| Forward Diff. |     34.57 |    -2.950 |   -0.1076 |   -0.3310 |
+#> |.....................|    -1.967 |  0.005897 |    -18.06 |    -21.71 |
+#> |.....................|     3.154 |    -16.24 |    -11.62 |    -11.87 |
+#> |.....................|    -14.73 |    -8.995 |...........|...........|
+#> |   13|     490.65951 |     1.002 |   -0.9903 |   -0.9382 |   -0.9668 |
+#> |.....................|   -0.9944 |   -0.9215 |   -0.8485 |   -0.8438 |
+#> |.....................|   -0.9178 |   -0.8429 |   -0.8619 |   -0.8637 |
+#> |.....................|   -0.8496 |   -0.8721 |...........|...........|
+#> |    U|     490.65951 |     100.2 |    -4.090 |   -0.9390 |    -2.399 |
+#> |.....................|    -4.094 |  -0.01100 |    0.7514 |   0.06955 |
+#> |.....................|    0.6692 |     1.657 |     1.310 |     1.192 |
+#> |.....................|     1.541 |     1.182 |...........|...........|
+#> |    X|     490.65951 |     100.2 |   0.01673 |    0.2811 |   0.09077 |
+#> |.....................|   0.01667 |    0.4972 |    0.7514 |   0.06955 |
+#> |.....................|    0.6692 |     1.657 |     1.310 |     1.192 |
+#> |.....................|     1.541 |     1.182 |...........|...........|
+#> |    F| Forward Diff. |    -50.76 |    -3.759 |   -0.7472 |  -0.01668 |
+#> |.....................|    -1.908 |  0.007323 |    -16.70 |    -21.90 |
+#> |.....................|     3.094 |    -15.72 |    -11.38 |    -11.47 |
+#> |.....................|    -14.04 |    -8.745 |...........|...........|
+#> |   14|     490.01300 |     1.014 |   -0.9891 |   -0.9380 |   -0.9667 |
+#> |.....................|   -0.9937 |   -0.9215 |   -0.8428 |   -0.8366 |
+#> |.....................|   -0.9189 |   -0.8372 |   -0.8579 |   -0.8596 |
+#> |.....................|   -0.8446 |   -0.8690 |...........|...........|
+#> |    U|       490.013 |     101.4 |    -4.089 |   -0.9388 |    -2.399 |
+#> |.....................|    -4.094 |  -0.01100 |    0.7535 |   0.06979 |
+#> |.....................|    0.6684 |     1.666 |     1.315 |     1.196 |
+#> |.....................|     1.549 |     1.186 |...........|...........|
+#> |    X|       490.013 |     101.4 |   0.01676 |    0.2811 |   0.09077 |
+#> |.....................|   0.01668 |    0.4972 |    0.7535 |   0.06979 |
+#> |.....................|    0.6684 |     1.666 |     1.315 |     1.196 |
+#> |.....................|     1.549 |     1.186 |...........|...........|
+#> |    F| Forward Diff. |     34.25 |    -2.890 |  -0.09666 |   -0.3362 |
+#> |.....................|    -1.973 |  0.006003 |    -17.09 |    -20.19 |
+#> |.....................|     3.007 |    -15.95 |    -11.25 |    -11.56 |
+#> |.....................|    -14.42 |    -8.788 |...........|...........|
+#> |   15|     489.51603 |     1.003 |   -0.9880 |   -0.9380 |   -0.9666 |
+#> |.....................|   -0.9930 |   -0.9215 |   -0.8366 |   -0.8294 |
+#> |.....................|   -0.9200 |   -0.8313 |   -0.8537 |   -0.8553 |
+#> |.....................|   -0.8392 |   -0.8658 |...........|...........|
+#> |    U|     489.51603 |     100.3 |    -4.088 |   -0.9388 |    -2.399 |
+#> |.....................|    -4.093 |  -0.01100 |    0.7558 |   0.07003 |
+#> |.....................|    0.6677 |     1.675 |     1.320 |     1.201 |
+#> |.....................|     1.556 |     1.189 |...........|...........|
+#> |    X|     489.51603 |     100.3 |   0.01677 |    0.2812 |   0.09078 |
+#> |.....................|   0.01669 |    0.4972 |    0.7558 |   0.07003 |
+#> |.....................|    0.6677 |     1.675 |     1.320 |     1.201 |
+#> |.....................|     1.556 |     1.189 |...........|...........|
+#> |    F| Forward Diff. |    -45.29 |    -3.673 |   -0.7179 |  -0.03084 |
+#> |.....................|    -1.907 |  0.007423 |    -17.34 |    -21.86 |
+#> |.....................|     2.565 |    -15.52 |    -11.05 |    -11.19 |
+#> |.....................|    -14.28 |    -8.545 |...........|...........|
+#> |   16|     488.89410 |     1.014 |   -0.9866 |   -0.9377 |   -0.9666 |
+#> |.....................|   -0.9922 |   -0.9215 |   -0.8304 |   -0.8220 |
+#> |.....................|   -0.9210 |   -0.8254 |   -0.8495 |   -0.8510 |
+#> |.....................|   -0.8337 |   -0.8625 |...........|...........|
+#> |    U|      488.8941 |     101.4 |    -4.087 |   -0.9385 |    -2.399 |
+#> |.....................|    -4.092 |  -0.01100 |    0.7580 |   0.07028 |
+#> |.....................|    0.6670 |     1.685 |     1.325 |     1.206 |
+#> |.....................|     1.565 |     1.193 |...........|...........|
+#> |    X|      488.8941 |     101.4 |   0.01680 |    0.2812 |   0.09079 |
+#> |.....................|   0.01670 |    0.4972 |    0.7580 |   0.07028 |
+#> |.....................|    0.6670 |     1.685 |     1.325 |     1.206 |
+#> |.....................|     1.565 |     1.193 |...........|...........|
+#> |    F| Forward Diff. |     32.56 |    -2.827 |  -0.09853 |   -0.3366 |
+#> |.....................|    -1.968 |  0.006143 |    -15.42 |    -18.16 |
+#> |.....................|     2.733 |    -15.52 |    -10.94 |    -11.25 |
+#> |.....................|    -14.13 |    -8.583 |...........|...........|
+#> |   17|     488.48678 |     1.002 |   -0.9855 |   -0.9377 |   -0.9664 |
+#> |.....................|   -0.9915 |   -0.9215 |   -0.8246 |   -0.8152 |
+#> |.....................|   -0.9220 |   -0.8195 |   -0.8454 |   -0.8468 |
+#> |.....................|   -0.8284 |   -0.8593 |...........|...........|
+#> |    U|     488.48678 |     100.2 |    -4.086 |   -0.9385 |    -2.399 |
+#> |.....................|    -4.091 |  -0.01100 |    0.7601 |   0.07051 |
+#> |.....................|    0.6663 |     1.694 |     1.331 |     1.211 |
+#> |.....................|     1.572 |     1.197 |...........|...........|
+#> |    X|     488.48678 |     100.2 |   0.01681 |    0.2812 |   0.09080 |
+#> |.....................|   0.01671 |    0.4972 |    0.7601 |   0.07051 |
+#> |.....................|    0.6663 |     1.694 |     1.331 |     1.211 |
+#> |.....................|     1.572 |     1.197 |...........|...........|
+#> |    F| Forward Diff. |    -50.86 |    -3.681 |   -0.7723 |-0.0007467 |
+#> |.....................|    -1.892 |  0.007742 |    -16.40 |    -20.55 |
+#> |.....................|     2.306 |    -15.16 |    -10.65 |    -10.82 |
+#> |.....................|    -14.00 |    -8.331 |...........|...........|
+#> |   18|     487.81394 |     1.012 |   -0.9841 |   -0.9374 |   -0.9664 |
+#> |.....................|   -0.9907 |   -0.9215 |   -0.8186 |   -0.8083 |
+#> |.....................|   -0.9229 |   -0.8132 |   -0.8411 |   -0.8424 |
+#> |.....................|   -0.8225 |   -0.8558 |...........|...........|
+#> |    U|     487.81394 |     101.2 |    -4.084 |   -0.9383 |    -2.399 |
+#> |.....................|    -4.091 |  -0.01100 |    0.7623 |   0.07074 |
+#> |.....................|    0.6657 |     1.704 |     1.336 |     1.216 |
+#> |.....................|     1.581 |     1.201 |...........|...........|
+#> |    X|     487.81394 |     101.2 |   0.01684 |    0.2812 |   0.09080 |
+#> |.....................|   0.01673 |    0.4972 |    0.7623 |   0.07074 |
+#> |.....................|    0.6657 |     1.704 |     1.336 |     1.216 |
+#> |.....................|     1.581 |     1.201 |...........|...........|
+#> |    F| Forward Diff. |     24.73 |    -2.818 |   -0.1513 |   -0.3103 |
+#> |.....................|    -1.952 |  0.006413 |    -14.43 |    -16.89 |
+#> |.....................|     2.774 |    -15.21 |    -10.56 |    -10.91 |
+#> |.....................|    -13.80 |    -8.354 |...........|...........|
+#> |   19|     487.41354 |     1.002 |   -0.9829 |   -0.9374 |   -0.9663 |
+#> |.....................|   -0.9898 |   -0.9215 |   -0.8126 |   -0.8013 |
+#> |.....................|   -0.9240 |   -0.8068 |   -0.8367 |   -0.8378 |
+#> |.....................|   -0.8167 |   -0.8523 |...........|...........|
+#> |    U|     487.41354 |     100.2 |    -4.083 |   -0.9382 |    -2.399 |
+#> |.....................|    -4.090 |  -0.01100 |    0.7645 |   0.07098 |
+#> |.....................|    0.6649 |     1.714 |     1.342 |     1.221 |
+#> |.....................|     1.590 |     1.205 |...........|...........|
+#> |    X|     487.41354 |     100.2 |   0.01686 |    0.2813 |   0.09082 |
+#> |.....................|   0.01674 |    0.4972 |    0.7645 |   0.07098 |
+#> |.....................|    0.6649 |     1.714 |     1.342 |     1.221 |
+#> |.....................|     1.590 |     1.205 |...........|...........|
+#> |    F| Forward Diff. |    -49.04 |    -3.605 |   -0.7738 | -0.005231 |
+#> |.....................|    -1.885 |  0.007887 |    -13.75 |    -19.14 |
+#> |.....................|     2.153 |    -14.90 |    -10.33 |    -10.54 |
+#> |.....................|    -13.68 |    -8.125 |...........|...........|
+#> |   20|     486.77105 |     1.012 |   -0.9814 |   -0.9371 |   -0.9662 |
+#> |.....................|   -0.9889 |   -0.9215 |   -0.8076 |   -0.7947 |
+#> |.....................|   -0.9250 |   -0.7999 |   -0.8321 |   -0.8330 |
+#> |.....................|   -0.8104 |   -0.8486 |...........|...........|
+#> |    U|     486.77105 |     101.2 |    -4.081 |   -0.9380 |    -2.399 |
+#> |.....................|    -4.089 |  -0.01100 |    0.7664 |   0.07119 |
+#> |.....................|    0.6643 |     1.725 |     1.347 |     1.227 |
+#> |.....................|     1.599 |     1.209 |...........|...........|
+#> |    X|     486.77105 |     101.2 |   0.01688 |    0.2813 |   0.09082 |
+#> |.....................|   0.01676 |    0.4972 |    0.7664 |   0.07119 |
+#> |.....................|    0.6643 |     1.725 |     1.347 |     1.227 |
+#> |.....................|     1.599 |     1.209 |...........|...........|
+#> |    F| Forward Diff. |     24.27 |    -2.713 |   -0.1438 |   -0.3142 |
+#> |.....................|    -1.939 |  0.006562 |    -14.18 |    -16.12 |
+#> |.....................|     2.525 |    -14.86 |    -10.17 |    -10.57 |
+#> |.....................|    -13.46 |    -8.131 |...........|...........|
+#> |   21|     486.40106 |     1.002 |   -0.9802 |   -0.9371 |   -0.9661 |
+#> |.....................|   -0.9881 |   -0.9215 |   -0.8015 |   -0.7878 |
+#> |.....................|   -0.9261 |   -0.7935 |   -0.8277 |   -0.8285 |
+#> |.....................|   -0.8046 |   -0.8452 |...........|...........|
+#> |    U|     486.40106 |     100.2 |    -4.080 |   -0.9379 |    -2.399 |
+#> |.....................|    -4.088 |  -0.01100 |    0.7686 |   0.07143 |
+#> |.....................|    0.6635 |     1.735 |     1.353 |     1.232 |
+#> |.....................|     1.608 |     1.213 |...........|...........|
+#> |    X|     486.40106 |     100.2 |   0.01690 |    0.2813 |   0.09083 |
+#> |.....................|   0.01677 |    0.4972 |    0.7686 |   0.07143 |
+#> |.....................|    0.6635 |     1.735 |     1.353 |     1.232 |
+#> |.....................|     1.608 |     1.213 |...........|...........|
+#> |    F| Forward Diff. |    -49.43 |    -3.533 |   -0.7907 |  0.002583 |
+#> |.....................|    -1.861 |  0.008122 |    -12.85 |    -17.77 |
+#> |.....................|     2.313 |    -14.52 |    -9.868 |    -10.18 |
+#> |.....................|    -13.34 |    -7.899 |...........|...........|
+#> |   22|     485.77865 |     1.012 |   -0.9786 |   -0.9368 |   -0.9660 |
+#> |.....................|   -0.9871 |   -0.9215 |   -0.7966 |   -0.7818 |
+#> |.....................|   -0.9271 |   -0.7864 |   -0.8231 |   -0.8237 |
+#> |.....................|   -0.7980 |   -0.8414 |...........|...........|
+#> |    U|     485.77865 |     101.2 |    -4.079 |   -0.9376 |    -2.399 |
+#> |.....................|    -4.087 |  -0.01100 |    0.7704 |   0.07163 |
+#> |.....................|    0.6629 |     1.746 |     1.359 |     1.238 |
+#> |.....................|     1.617 |     1.217 |...........|...........|
+#> |    X|     485.77865 |     101.2 |   0.01693 |    0.2814 |   0.09084 |
+#> |.....................|   0.01679 |    0.4972 |    0.7704 |   0.07163 |
+#> |.....................|    0.6629 |     1.746 |     1.359 |     1.238 |
+#> |.....................|     1.617 |     1.217 |...........|...........|
+#> |    F| Forward Diff. |     23.77 |    -2.587 |   -0.1355 |   -0.3176 |
+#> |.....................|    -1.913 |  0.006717 |    -13.39 |    -15.00 |
+#> |.....................|     2.211 |    -14.53 |    -9.747 |    -10.22 |
+#> |.....................|    -13.16 |    -7.915 |...........|...........|
+#> |   23|     485.42886 |     1.002 |   -0.9775 |   -0.9367 |   -0.9659 |
+#> |.....................|   -0.9862 |   -0.9215 |   -0.7907 |   -0.7751 |
+#> |.....................|   -0.9281 |   -0.7799 |   -0.8187 |   -0.8190 |
+#> |.....................|   -0.7921 |   -0.8378 |...........|...........|
+#> |    U|     485.42886 |     100.2 |    -4.077 |   -0.9376 |    -2.399 |
+#> |.....................|    -4.086 |  -0.01100 |    0.7725 |   0.07185 |
+#> |.....................|    0.6622 |     1.757 |     1.364 |     1.243 |
+#> |.....................|     1.626 |     1.221 |...........|...........|
+#> |    X|     485.42886 |     100.2 |   0.01695 |    0.2814 |   0.09085 |
+#> |.....................|   0.01680 |    0.4972 |    0.7725 |   0.07185 |
+#> |.....................|    0.6622 |     1.757 |     1.364 |     1.243 |
+#> |.....................|     1.626 |     1.221 |...........|...........|
+#> |    F| Forward Diff. |    -48.95 |    -3.431 |   -0.7980 |  0.007511 |
+#> |.....................|    -1.828 |  0.008340 |    -12.05 |    -16.59 |
+#> |.....................|     2.177 |    -14.27 |    -9.567 |    -9.843 |
+#> |.....................|    -12.98 |    -7.655 |...........|...........|
+#> |   24|     484.82183 |     1.012 |   -0.9759 |   -0.9364 |   -0.9658 |
+#> |.....................|   -0.9852 |   -0.9215 |   -0.7861 |   -0.7697 |
+#> |.....................|   -0.9290 |   -0.7723 |   -0.8141 |   -0.8141 |
+#> |.....................|   -0.7852 |   -0.8339 |...........|...........|
+#> |    U|     484.82183 |     101.2 |    -4.076 |   -0.9373 |    -2.398 |
+#> |.....................|    -4.085 |  -0.01100 |    0.7742 |   0.07203 |
+#> |.....................|    0.6616 |     1.769 |     1.370 |     1.249 |
+#> |.....................|     1.636 |     1.226 |...........|...........|
+#> |    X|     484.82183 |     101.2 |   0.01698 |    0.2814 |   0.09086 |
+#> |.....................|   0.01682 |    0.4972 |    0.7742 |   0.07203 |
+#> |.....................|    0.6616 |     1.769 |     1.370 |     1.249 |
+#> |.....................|     1.636 |     1.226 |...........|...........|
+#> |    F| Forward Diff. |     22.05 |    -2.460 |   -0.1372 |   -0.3150 |
+#> |.....................|    -1.875 |  0.006918 |    -12.51 |    -13.87 |
+#> |.....................|     2.059 |    -14.26 |    -9.441 |    -9.910 |
+#> |.....................|    -12.81 |    -7.688 |...........|...........|
+#> |   25|     484.49026 |     1.002 |   -0.9747 |   -0.9363 |   -0.9656 |
+#> |.....................|   -0.9843 |   -0.9215 |   -0.7802 |   -0.7632 |
+#> |.....................|   -0.9300 |   -0.7655 |   -0.8095 |   -0.8093 |
+#> |.....................|   -0.7791 |   -0.8302 |...........|...........|
+#> |    U|     484.49026 |     100.2 |    -4.075 |   -0.9372 |    -2.398 |
+#> |.....................|    -4.084 |  -0.01100 |    0.7764 |   0.07225 |
+#> |.....................|    0.6609 |     1.779 |     1.376 |     1.254 |
+#> |.....................|     1.645 |     1.230 |...........|...........|
+#> |    X|     484.49026 |     100.2 |   0.01700 |    0.2815 |   0.09087 |
+#> |.....................|   0.01684 |    0.4972 |    0.7764 |   0.07225 |
+#> |.....................|    0.6609 |     1.779 |     1.376 |     1.254 |
+#> |.....................|     1.645 |     1.230 |...........|...........|
+#> |    F| Forward Diff. |    -48.40 |    -3.314 |   -0.8046 |   0.01082 |
+#> |.....................|    -1.785 |  0.008564 |    -11.34 |    -13.90 |
+#> |.....................|     2.095 |    -13.95 |    -9.157 |    -9.483 |
+#> |.....................|    -12.66 |    -7.448 |...........|...........|
+#> |   26|     483.91316 |     1.012 |   -0.9731 |   -0.9360 |   -0.9656 |
+#> |.....................|   -0.9832 |   -0.9215 |   -0.7758 |   -0.7593 |
+#> |.....................|   -0.9309 |   -0.7575 |   -0.8048 |   -0.8042 |
+#> |.....................|   -0.7719 |   -0.8261 |...........|...........|
+#> |    U|     483.91316 |     101.2 |    -4.073 |   -0.9369 |    -2.398 |
+#> |.....................|    -4.083 |  -0.01100 |    0.7780 |   0.07238 |
+#> |.....................|    0.6603 |     1.792 |     1.382 |     1.260 |
+#> |.....................|     1.656 |     1.235 |...........|...........|
+#> |    X|     483.91316 |     101.2 |   0.01702 |    0.2815 |   0.09088 |
+#> |.....................|   0.01685 |    0.4972 |    0.7780 |   0.07238 |
+#> |.....................|    0.6603 |     1.792 |     1.382 |     1.260 |
+#> |.....................|     1.656 |     1.235 |...........|...........|
+#> |    F| Forward Diff. |     21.71 |    -2.295 |   -0.1241 |   -0.3190 |
+#> |.....................|    -1.824 |  0.007081 |    -13.14 |    -14.20 |
+#> |.....................|     1.713 |    -13.92 |    -9.049 |    -9.560 |
+#> |.....................|    -12.44 |    -7.439 |...........|...........|
+#> |   27|     483.53972 |     1.003 |   -0.9719 |   -0.9359 |   -0.9654 |
+#> |.....................|   -0.9822 |   -0.9215 |   -0.7695 |   -0.7529 |
+#> |.....................|   -0.9317 |   -0.7501 |   -0.8002 |   -0.7993 |
+#> |.....................|   -0.7653 |   -0.8222 |...........|...........|
+#> |    U|     483.53972 |     100.3 |    -4.072 |   -0.9368 |    -2.398 |
+#> |.....................|    -4.082 |  -0.01100 |    0.7803 |   0.07259 |
+#> |.....................|    0.6598 |     1.804 |     1.388 |     1.266 |
+#> |.....................|     1.666 |     1.239 |...........|...........|
+#> |    X|     483.53972 |     100.3 |   0.01705 |    0.2815 |   0.09089 |
+#> |.....................|   0.01687 |    0.4972 |    0.7803 |   0.07259 |
+#> |.....................|    0.6598 |     1.804 |     1.388 |     1.266 |
+#> |.....................|     1.666 |     1.239 |...........|...........|
+#> |    F| Forward Diff. |    -41.33 |    -3.086 |   -0.7421 |  -0.01550 |
+#> |.....................|    -1.732 |  0.008667 |    -12.24 |    -14.31 |
+#> |.....................|     1.879 |    -13.57 |    -8.704 |    -9.151 |
+#> |.....................|    -12.31 |    -7.231 |...........|...........|
+#> |   28|     483.02129 |     1.012 |   -0.9704 |   -0.9356 |   -0.9653 |
+#> |.....................|   -0.9811 |   -0.9215 |   -0.7639 |   -0.7482 |
+#> |.....................|   -0.9323 |   -0.7422 |   -0.7957 |   -0.7943 |
+#> |.....................|   -0.7582 |   -0.8182 |...........|...........|
+#> |    U|     483.02129 |     101.2 |    -4.070 |   -0.9365 |    -2.398 |
+#> |.....................|    -4.081 |  -0.01100 |    0.7823 |   0.07275 |
+#> |.....................|    0.6594 |     1.816 |     1.393 |     1.271 |
+#> |.....................|     1.676 |     1.244 |...........|...........|
+#> |    X|     483.02129 |     101.2 |   0.01707 |    0.2816 |   0.09090 |
+#> |.....................|   0.01689 |    0.4972 |    0.7823 |   0.07275 |
+#> |.....................|    0.6594 |     1.816 |     1.393 |     1.271 |
+#> |.....................|     1.676 |     1.244 |...........|...........|
+#> |    F| Forward Diff. |     24.99 |    -2.064 |  -0.07177 |   -0.3414 |
+#> |.....................|    -1.768 |  0.007186 |    -12.35 |    -13.09 |
+#> |.....................|     1.619 |    -13.63 |    -8.749 |    -9.199 |
+#> |.....................|    -12.40 |    -7.209 |...........|...........|
+#> |   29|     482.63111 |     1.003 |   -0.9692 |   -0.9355 |   -0.9651 |
+#> |.....................|   -0.9800 |   -0.9215 |   -0.7579 |   -0.7429 |
+#> |.....................|   -0.9329 |   -0.7344 |   -0.7911 |   -0.7893 |
+#> |.....................|   -0.7510 |   -0.8142 |...........|...........|
+#> |    U|     482.63111 |     100.3 |    -4.069 |   -0.9364 |    -2.398 |
+#> |.....................|    -4.080 |  -0.01100 |    0.7845 |   0.07293 |
+#> |.....................|    0.6589 |     1.829 |     1.399 |     1.277 |
+#> |.....................|     1.687 |     1.249 |...........|...........|
+#> |    X|     482.63111 |     100.3 |   0.01709 |    0.2816 |   0.09092 |
+#> |.....................|   0.01691 |    0.4972 |    0.7845 |   0.07293 |
+#> |.....................|    0.6589 |     1.829 |     1.399 |     1.277 |
+#> |.....................|     1.687 |     1.249 |...........|...........|
+#> |    F| Forward Diff. |    -36.55 |    -2.873 |   -0.6941 |  -0.03251 |
+#> |.....................|    -1.664 |  0.008820 |    -11.56 |    -13.31 |
+#> |.....................|     1.468 |    -13.22 |    -8.319 |    -8.815 |
+#> |.....................|    -11.93 |    -7.014 |...........|...........|
+#> |   30|     482.15860 |     1.013 |   -0.9679 |   -0.9352 |   -0.9650 |
+#> |.....................|   -0.9789 |   -0.9215 |   -0.7525 |   -0.7387 |
+#> |.....................|   -0.9332 |   -0.7261 |   -0.7866 |   -0.7843 |
+#> |.....................|   -0.7435 |   -0.8100 |...........|...........|
+#> |    U|      482.1586 |     101.3 |    -4.068 |   -0.9361 |    -2.398 |
+#> |.....................|    -4.079 |  -0.01100 |    0.7865 |   0.07307 |
+#> |.....................|    0.6587 |     1.842 |     1.405 |     1.283 |
+#> |.....................|     1.698 |     1.253 |...........|...........|
+#> |    X|      482.1586 |     101.3 |   0.01711 |    0.2817 |   0.09093 |
+#> |.....................|   0.01693 |    0.4972 |    0.7865 |   0.07307 |
+#> |.....................|    0.6587 |     1.842 |     1.405 |     1.283 |
+#> |.....................|     1.698 |     1.253 |...........|...........|
+#> |    F| Forward Diff. |     26.18 |    -1.853 |  -0.03641 |   -0.3540 |
+#> |.....................|    -1.697 |  0.007343 |    -10.35 |    -10.94 |
+#> |.....................|     1.762 |    -13.15 |    -8.194 |    -8.841 |
+#> |.....................|    -11.73 |    -7.013 |...........|...........|
+#> |   31|     481.77253 |     1.004 |   -0.9667 |   -0.9350 |   -0.9648 |
+#> |.....................|   -0.9778 |   -0.9215 |   -0.7477 |   -0.7350 |
+#> |.....................|   -0.9339 |   -0.7174 |   -0.7818 |   -0.7789 |
+#> |.....................|   -0.7358 |   -0.8055 |...........|...........|
+#> |    U|     481.77253 |     100.4 |    -4.067 |   -0.9360 |    -2.397 |
+#> |.....................|    -4.078 |  -0.01100 |    0.7882 |   0.07320 |
+#> |.....................|    0.6583 |     1.855 |     1.411 |     1.289 |
+#> |.....................|     1.709 |     1.259 |...........|...........|
+#> |    X|     481.77253 |     100.4 |   0.01713 |    0.2817 |   0.09095 |
+#> |.....................|   0.01695 |    0.4972 |    0.7882 |   0.07320 |
+#> |.....................|    0.6583 |     1.855 |     1.411 |     1.289 |
+#> |.....................|     1.709 |     1.259 |...........|...........|
+#> |    F| Forward Diff. |    -33.42 |    -2.468 |   -0.6588 |  -0.04495 |
+#> |.....................|    -1.582 |  0.009000 |    -9.278 |    -10.93 |
+#> |.....................|     2.073 |    -12.89 |    -7.995 |    -8.451 |
+#> |.....................|    -11.53 |    -6.784 |...........|...........|
+#> |   32|     481.33405 |     1.012 |   -0.9656 |   -0.9347 |   -0.9646 |
+#> |.....................|   -0.9766 |   -0.9215 |   -0.7446 |   -0.7329 |
+#> |.....................|   -0.9352 |   -0.7079 |   -0.7769 |   -0.7733 |
+#> |.....................|   -0.7275 |   -0.8008 |...........|...........|
+#> |    U|     481.33405 |     101.2 |    -4.066 |   -0.9357 |    -2.397 |
+#> |.....................|    -4.077 |  -0.01100 |    0.7894 |   0.07326 |
+#> |.....................|    0.6574 |     1.870 |     1.417 |     1.296 |
+#> |.....................|     1.721 |     1.264 |...........|...........|
+#> |    X|     481.33405 |     101.2 |   0.01715 |    0.2818 |   0.09096 |
+#> |.....................|   0.01697 |    0.4972 |    0.7894 |   0.07326 |
+#> |.....................|    0.6574 |     1.870 |     1.417 |     1.296 |
+#> |.....................|     1.721 |     1.264 |...........|...........|
+#> |    F| Forward Diff. |     23.32 |    -1.710 |  -0.03967 |   -0.3452 |
+#> |.....................|    -1.599 |  0.007614 |    -9.890 |    -10.44 |
+#> |.....................|     1.650 |    -12.78 |    -7.841 |    -8.441 |
+#> |.....................|    -11.31 |    -6.748 |...........|...........|
+#> |   33|     480.95912 |     1.004 |   -0.9646 |   -0.9346 |   -0.9644 |
+#> |.....................|   -0.9754 |   -0.9215 |   -0.7406 |   -0.7300 |
+#> |.....................|   -0.9364 |   -0.6985 |   -0.7720 |   -0.7677 |
+#> |.....................|   -0.7193 |   -0.7960 |...........|...........|
+#> |    U|     480.95912 |     100.4 |    -4.065 |   -0.9356 |    -2.397 |
+#> |.....................|    -4.075 |  -0.01100 |    0.7908 |   0.07336 |
+#> |.....................|    0.6566 |     1.885 |     1.424 |     1.302 |
+#> |.....................|     1.734 |     1.270 |...........|...........|
+#> |    X|     480.95912 |     100.4 |   0.01717 |    0.2818 |   0.09098 |
+#> |.....................|   0.01699 |    0.4972 |    0.7908 |   0.07336 |
+#> |.....................|    0.6566 |     1.885 |     1.424 |     1.302 |
+#> |.....................|     1.734 |     1.270 |...........|...........|
+#> |    F| Forward Diff. |    -30.38 |    -2.273 |   -0.6168 |  -0.05646 |
+#> |.....................|    -1.481 |  0.009185 |    -8.899 |    -11.86 |
+#> |.....................|     1.510 |    -12.49 |    -7.578 |    -8.069 |
+#> |.....................|    -11.13 |    -6.546 |...........|...........|
+#> |   34|     480.53887 |     1.012 |   -0.9637 |   -0.9342 |   -0.9642 |
+#> |.....................|   -0.9743 |   -0.9216 |   -0.7379 |   -0.7267 |
+#> |.....................|   -0.9369 |   -0.6888 |   -0.7673 |   -0.7623 |
+#> |.....................|   -0.7109 |   -0.7912 |...........|...........|
+#> |    U|     480.53887 |     101.2 |    -4.064 |   -0.9352 |    -2.397 |
+#> |.....................|    -4.074 |  -0.01100 |    0.7918 |   0.07347 |
+#> |.....................|    0.6562 |     1.901 |     1.429 |     1.308 |
+#> |.....................|     1.746 |     1.275 |...........|...........|
+#> |    X|     480.53887 |     101.2 |   0.01719 |    0.2819 |   0.09100 |
+#> |.....................|   0.01700 |    0.4972 |    0.7918 |   0.07347 |
+#> |.....................|    0.6562 |     1.901 |     1.429 |     1.308 |
+#> |.....................|     1.746 |     1.275 |...........|...........|
+#> |    F| Forward Diff. |     23.40 |    -1.545 | -0.009684 |   -0.3499 |
+#> |.....................|    -1.497 |  0.007817 |    -10.78 |    -11.16 |
+#> |.....................|     1.267 |    -12.36 |    -7.423 |    -8.042 |
+#> |.....................|    -10.90 |    -6.497 |...........|...........|
+#> |   35|     480.15983 |     1.005 |   -0.9631 |   -0.9341 |   -0.9640 |
+#> |.....................|   -0.9733 |   -0.9216 |   -0.7332 |   -0.7223 |
+#> |.....................|   -0.9371 |   -0.6793 |   -0.7629 |   -0.7571 |
+#> |.....................|   -0.7029 |   -0.7866 |...........|...........|
+#> |    U|     480.15983 |     100.5 |    -4.063 |   -0.9351 |    -2.397 |
+#> |.....................|    -4.073 |  -0.01100 |    0.7935 |   0.07362 |
+#> |.....................|    0.6561 |     1.916 |     1.435 |     1.314 |
+#> |.....................|     1.758 |     1.280 |...........|...........|
+#> |    X|     480.15983 |     100.5 |   0.01720 |    0.2819 |   0.09102 |
+#> |.....................|   0.01702 |    0.4972 |    0.7935 |   0.07362 |
+#> |.....................|    0.6561 |     1.916 |     1.435 |     1.314 |
+#> |.....................|     1.758 |     1.280 |...........|...........|
+#> |    F| Forward Diff. |    -28.57 |    -2.381 |   -0.5845 |  -0.05882 |
+#> |.....................|    -1.378 |  0.009420 |    -9.960 |    -11.12 |
+#> |.....................|     1.408 |    -12.08 |    -7.201 |    -7.708 |
+#> |.....................|    -10.66 |    -6.274 |...........|...........|
+#> |   36|     479.76525 |     1.013 |   -0.9621 |   -0.9338 |   -0.9638 |
+#> |.....................|   -0.9724 |   -0.9216 |   -0.7274 |   -0.7189 |
+#> |.....................|   -0.9370 |   -0.6698 |   -0.7590 |   -0.7523 |
+#> |.....................|   -0.6950 |   -0.7821 |...........|...........|
+#> |    U|     479.76525 |     101.3 |    -4.062 |   -0.9349 |    -2.396 |
+#> |.....................|    -4.072 |  -0.01100 |    0.7956 |   0.07373 |
+#> |.....................|    0.6562 |     1.931 |     1.440 |     1.320 |
+#> |.....................|     1.770 |     1.286 |...........|...........|
+#> |    X|     479.76525 |     101.3 |   0.01721 |    0.2819 |   0.09104 |
+#> |.....................|   0.01704 |    0.4972 |    0.7956 |   0.07373 |
+#> |.....................|    0.6562 |     1.931 |     1.440 |     1.320 |
+#> |.....................|     1.770 |     1.286 |...........|...........|
+#> |    F| Forward Diff. |     25.60 |    -1.145 |   0.04744 |   -0.3638 |
+#> |.....................|    -1.405 |  0.007969 |    -8.937 |    -9.159 |
+#> |.....................|     1.481 |    -11.97 |    -7.076 |    -7.721 |
+#> |.....................|    -10.46 |    -6.241 |...........|...........|
+#> |   37|     479.40619 |     1.005 |   -0.9617 |   -0.9337 |   -0.9635 |
+#> |.....................|   -0.9714 |   -0.9216 |   -0.7231 |   -0.7171 |
+#> |.....................|   -0.9376 |   -0.6597 |   -0.7546 |   -0.7470 |
+#> |.....................|   -0.6867 |   -0.7774 |...........|...........|
+#> |    U|     479.40619 |     100.5 |    -4.062 |   -0.9348 |    -2.396 |
+#> |.....................|    -4.071 |  -0.01100 |    0.7972 |   0.07380 |
+#> |.....................|    0.6558 |     1.947 |     1.445 |     1.326 |
+#> |.....................|     1.782 |     1.291 |...........|...........|
+#> |    X|     479.40619 |     100.5 |   0.01722 |    0.2820 |   0.09107 |
+#> |.....................|   0.01705 |    0.4972 |    0.7972 |   0.07380 |
+#> |.....................|    0.6558 |     1.947 |     1.445 |     1.326 |
+#> |.....................|     1.782 |     1.291 |...........|...........|
+#> |    F| Forward Diff. |    -26.68 |    -2.255 |   -0.5492 |  -0.06756 |
+#> |.....................|    -1.289 |  0.009576 |    -8.071 |    -10.65 |
+#> |.....................|     1.114 |    -11.68 |    -6.840 |    -7.373 |
+#> |.....................|    -10.30 |    -6.055 |...........|...........|
+#> |   38|     479.03445 |     1.012 |   -0.9610 |   -0.9335 |   -0.9633 |
+#> |.....................|   -0.9705 |   -0.9216 |   -0.7212 |   -0.7148 |
+#> |.....................|   -0.9376 |   -0.6492 |   -0.7503 |   -0.7416 |
+#> |.....................|   -0.6779 |   -0.7724 |...........|...........|
+#> |    U|     479.03445 |     101.2 |    -4.061 |   -0.9345 |    -2.396 |
+#> |.....................|    -4.071 |  -0.01100 |    0.7979 |   0.07387 |
+#> |.....................|    0.6558 |     1.963 |     1.451 |     1.332 |
+#> |.....................|     1.795 |     1.297 |...........|...........|
+#> |    X|     479.03445 |     101.2 |   0.01723 |    0.2820 |   0.09109 |
+#> |.....................|   0.01707 |    0.4972 |    0.7979 |   0.07387 |
+#> |.....................|    0.6558 |     1.963 |     1.451 |     1.332 |
+#> |.....................|     1.795 |     1.297 |...........|...........|
+#> |    F| Forward Diff. |     22.12 |    -1.081 |   0.03630 |   -0.3485 |
+#> |.....................|    -1.311 |  0.008233 |    -8.610 |    -8.856 |
+#> |.....................|     1.385 |    -11.53 |    -6.694 |    -7.351 |
+#> |.....................|    -10.05 |    -5.987 |...........|...........|
+#> |   39|     478.70046 |     1.005 |   -0.9607 |   -0.9334 |   -0.9629 |
+#> |.....................|   -0.9697 |   -0.9216 |   -0.7185 |   -0.7124 |
+#> |.....................|   -0.9378 |   -0.6386 |   -0.7461 |   -0.7363 |
+#> |.....................|   -0.6692 |   -0.7674 |...........|...........|
+#> |    U|     478.70046 |     100.5 |    -4.061 |   -0.9345 |    -2.396 |
+#> |.....................|    -4.070 |  -0.01100 |    0.7989 |   0.07395 |
+#> |.....................|    0.6557 |     1.980 |     1.456 |     1.338 |
+#> |.....................|     1.808 |     1.302 |...........|...........|
+#> |    X|     478.70046 |     100.5 |   0.01724 |    0.2820 |   0.09112 |
+#> |.....................|   0.01708 |    0.4972 |    0.7989 |   0.07395 |
+#> |.....................|    0.6557 |     1.980 |     1.456 |     1.338 |
+#> |.....................|     1.808 |     1.302 |...........|...........|
+#> |    F| Forward Diff. |    -26.51 |    -2.193 |   -0.5308 |  -0.05813 |
+#> |.....................|    -1.191 |  0.009843 |    -9.246 |    -10.25 |
+#> |.....................|     1.049 |    -11.25 |    -6.459 |    -7.012 |
+#> |.....................|    -9.842 |    -5.790 |...........|...........|
+#> |   40|     478.33460 |     1.012 |   -0.9602 |   -0.9332 |   -0.9627 |
+#> |.....................|   -0.9690 |   -0.9216 |   -0.7136 |   -0.7111 |
+#> |.....................|   -0.9376 |   -0.6278 |   -0.7425 |   -0.7314 |
+#> |.....................|   -0.6607 |   -0.7626 |...........|...........|
+#> |    U|      478.3346 |     101.2 |    -4.060 |   -0.9343 |    -2.395 |
+#> |.....................|    -4.069 |  -0.01100 |    0.8007 |   0.07400 |
+#> |.....................|    0.6558 |     1.997 |     1.461 |     1.344 |
+#> |.....................|     1.820 |     1.308 |...........|...........|
+#> |    X|      478.3346 |     101.2 |   0.01724 |    0.2821 |   0.09114 |
+#> |.....................|   0.01709 |    0.4972 |    0.8007 |   0.07400 |
+#> |.....................|    0.6558 |     1.997 |     1.461 |     1.344 |
+#> |.....................|     1.820 |     1.308 |...........|...........|
+#> |    F| Forward Diff. |     20.00 |    -1.246 |   0.04282 |   -0.3358 |
+#> |.....................|    -1.228 |  0.008460 |    -8.250 |    -8.533 |
+#> |.....................|     1.305 |    -11.09 |    -6.335 |    -6.999 |
+#> |.....................|    -9.637 |    -5.739 |...........|...........|
+#> |   41|     478.02904 |     1.005 |   -0.9595 |   -0.9333 |   -0.9623 |
+#> |.....................|   -0.9683 |   -0.9217 |   -0.7087 |   -0.7092 |
+#> |.....................|   -0.9377 |   -0.6173 |   -0.7388 |   -0.7264 |
+#> |.....................|   -0.6523 |   -0.7577 |...........|...........|
+#> |    U|     478.02904 |     100.5 |    -4.060 |   -0.9343 |    -2.395 |
+#> |.....................|    -4.068 |  -0.01100 |    0.8025 |   0.07406 |
+#> |.....................|    0.6557 |     2.014 |     1.466 |     1.350 |
+#> |.....................|     1.833 |     1.314 |...........|...........|
+#> |    X|     478.02904 |     100.5 |   0.01726 |    0.2820 |   0.09117 |
+#> |.....................|   0.01711 |    0.4972 |    0.8025 |   0.07406 |
+#> |.....................|    0.6557 |     2.014 |     1.466 |     1.350 |
+#> |.....................|     1.833 |     1.314 |...........|...........|
+#> |    F| Forward Diff. |    -28.91 |    -2.133 |   -0.5430 |  -0.03427 |
+#> |.....................|    -1.114 |   0.01012 |    -7.324 |    -9.914 |
+#> |.....................|    0.9278 |    -10.81 |    -6.119 |    -6.673 |
+#> |.....................|    -9.457 |    -5.557 |...........|...........|
+#> |   42|     477.67480 |     1.012 |   -0.9587 |   -0.9331 |   -0.9620 |
+#> |.....................|   -0.9677 |   -0.9217 |   -0.7077 |   -0.7075 |
+#> |.....................|   -0.9374 |   -0.6060 |   -0.7354 |   -0.7215 |
+#> |.....................|   -0.6433 |   -0.7527 |...........|...........|
+#> |    U|      477.6748 |     101.2 |    -4.059 |   -0.9342 |    -2.395 |
+#> |.....................|    -4.068 |  -0.01100 |    0.8028 |   0.07412 |
+#> |.....................|    0.6559 |     2.032 |     1.470 |     1.355 |
+#> |.....................|     1.846 |     1.319 |...........|...........|
+#> |    X|      477.6748 |     101.2 |   0.01727 |    0.2821 |   0.09120 |
+#> |.....................|   0.01712 |    0.4972 |    0.8028 |   0.07412 |
+#> |.....................|    0.6559 |     2.032 |     1.470 |     1.355 |
+#> |.....................|     1.846 |     1.319 |...........|...........|
+#> |    F| Forward Diff. |     17.58 |    -1.074 |   0.03251 |   -0.3151 |
+#> |.....................|    -1.162 |  0.008688 |    -9.226 |    -9.481 |
+#> |.....................|    0.9303 |    -10.65 |    -6.004 |    -6.660 |
+#> |.....................|    -9.223 |    -5.492 |...........|...........|
+#> |   43|     477.36674 |     1.005 |   -0.9586 |   -0.9332 |   -0.9617 |
+#> |.....................|   -0.9672 |   -0.9217 |   -0.7028 |   -0.7029 |
+#> |.....................|   -0.9362 |   -0.5954 |   -0.7323 |   -0.7170 |
+#> |.....................|   -0.6350 |   -0.7479 |...........|...........|
+#> |    U|     477.36674 |     100.5 |    -4.059 |   -0.9343 |    -2.394 |
+#> |.....................|    -4.067 |  -0.01100 |    0.8046 |   0.07427 |
+#> |.....................|    0.6567 |     2.048 |     1.474 |     1.361 |
+#> |.....................|     1.858 |     1.325 |...........|...........|
+#> |    X|     477.36674 |     100.5 |   0.01727 |    0.2821 |   0.09123 |
+#> |.....................|   0.01713 |    0.4972 |    0.8046 |   0.07427 |
+#> |.....................|    0.6567 |     2.048 |     1.474 |     1.361 |
+#> |.....................|     1.858 |     1.325 |...........|...........|
+#> |    F| Forward Diff. |    -26.86 |    -1.999 |   -0.5088 |  -0.02993 |
+#> |.....................|    -1.056 |   0.01029 |    -6.930 |    -7.943 |
+#> |.....................|     1.123 |    -10.40 |    -5.776 |    -6.354 |
+#> |.....................|    -9.032 |    -5.321 |...........|...........|
+#> |   44|     477.05158 |     1.012 |   -0.9583 |   -0.9331 |   -0.9614 |
+#> |.....................|   -0.9667 |   -0.9217 |   -0.6985 |   -0.7029 |
+#> |.....................|   -0.9357 |   -0.5841 |   -0.7296 |   -0.7125 |
+#> |.....................|   -0.6265 |   -0.7430 |...........|...........|
+#> |    U|     477.05158 |     101.2 |    -4.058 |   -0.9342 |    -2.394 |
+#> |.....................|    -4.067 |  -0.01100 |    0.8062 |   0.07427 |
+#> |.....................|    0.6570 |     2.066 |     1.477 |     1.366 |
+#> |.....................|     1.871 |     1.331 |...........|...........|
+#> |    X|     477.05158 |     101.2 |   0.01728 |    0.2821 |   0.09126 |
+#> |.....................|   0.01713 |    0.4972 |    0.8062 |   0.07427 |
+#> |.....................|    0.6570 |     2.066 |     1.477 |     1.366 |
+#> |.....................|     1.871 |     1.331 |...........|...........|
+#> |    F| Forward Diff. |     21.59 |   -0.9080 |    0.1072 |   -0.3377 |
+#> |.....................|    -1.120 |  0.008656 |    -8.076 |    -8.919 |
+#> |.....................|    0.8940 |    -10.23 |    -5.724 |    -6.385 |
+#> |.....................|    -8.830 |    -5.273 |...........|...........|
+#> |   45|     476.75116 |     1.006 |   -0.9582 |   -0.9333 |   -0.9610 |
+#> |.....................|   -0.9662 |   -0.9217 |   -0.6961 |   -0.7025 |
+#> |.....................|   -0.9353 |   -0.5723 |   -0.7265 |   -0.7076 |
+#> |.....................|   -0.6174 |   -0.7378 |...........|...........|
+#> |    U|     476.75116 |     100.6 |    -4.058 |   -0.9343 |    -2.394 |
+#> |.....................|    -4.066 |  -0.01100 |    0.8070 |   0.07428 |
+#> |.....................|    0.6573 |     2.085 |     1.481 |     1.371 |
+#> |.....................|     1.884 |     1.337 |...........|...........|
+#> |    X|     476.75116 |     100.6 |   0.01728 |    0.2820 |   0.09129 |
+#> |.....................|   0.01714 |    0.4972 |    0.8070 |   0.07428 |
+#> |.....................|    0.6573 |     2.085 |     1.481 |     1.371 |
+#> |.....................|     1.884 |     1.337 |...........|...........|
+#> |    F| Forward Diff. |    -19.26 |    -1.806 |   -0.3949 |  -0.06769 |
+#> |.....................|    -1.006 |   0.01017 |    -6.717 |    -7.715 |
+#> |.....................|     1.115 |    -9.949 |    -5.529 |    -6.080 |
+#> |.....................|    -8.599 |    -5.083 |...........|...........|
+#> |   46|     476.47529 |     1.013 |   -0.9577 |   -0.9333 |   -0.9608 |
+#> |.....................|   -0.9657 |   -0.9218 |   -0.6941 |   -0.7020 |
+#> |.....................|   -0.9354 |   -0.5606 |   -0.7233 |   -0.7027 |
+#> |.....................|   -0.6086 |   -0.7326 |...........|...........|
+#> |    U|     476.47529 |     101.3 |    -4.058 |   -0.9343 |    -2.393 |
+#> |.....................|    -4.066 |  -0.01100 |    0.8078 |   0.07430 |
+#> |.....................|    0.6573 |     2.103 |     1.485 |     1.377 |
+#> |.....................|     1.897 |     1.342 |...........|...........|
+#> |    X|     476.47529 |     101.3 |   0.01729 |    0.2820 |   0.09132 |
+#> |.....................|   0.01715 |    0.4972 |    0.8078 |   0.07430 |
+#> |.....................|    0.6573 |     2.103 |     1.485 |     1.377 |
+#> |.....................|     1.897 |     1.342 |...........|...........|
+#> |    F| Forward Diff. |     23.23 |   -0.7393 |    0.1467 |   -0.3435 |
+#> |.....................|    -1.063 |  0.008714 |    -6.650 |    -7.604 |
+#> |.....................|     1.072 |    -9.778 |    -5.421 |    -6.068 |
+#> |.....................|    -8.413 |    -5.023 |...........|...........|
+#> |   47|     476.20958 |     1.007 |   -0.9575 |   -0.9335 |   -0.9604 |
+#> |.....................|   -0.9651 |   -0.9218 |   -0.6949 |   -0.7035 |
+#> |.....................|   -0.9364 |   -0.5488 |   -0.7198 |   -0.6977 |
+#> |.....................|   -0.5996 |   -0.7274 |...........|...........|
+#> |    U|     476.20958 |     100.7 |    -4.058 |   -0.9345 |    -2.393 |
+#> |.....................|    -4.065 |  -0.01100 |    0.8075 |   0.07425 |
+#> |.....................|    0.6566 |     2.122 |     1.490 |     1.383 |
+#> |.....................|     1.910 |     1.349 |...........|...........|
+#> |    X|     476.20958 |     100.7 |   0.01729 |    0.2820 |   0.09135 |
+#> |.....................|   0.01716 |    0.4972 |    0.8075 |   0.07425 |
+#> |.....................|    0.6566 |     2.122 |     1.490 |     1.383 |
+#> |.....................|     1.910 |     1.349 |...........|...........|
+#> |    F| Forward Diff. |    -16.91 |    -1.652 |   -0.3580 |  -0.07063 |
+#> |.....................|   -0.9392 |   0.01022 |    -6.706 |    -7.708 |
+#> |.....................|    0.9788 |    -9.498 |    -5.202 |    -5.742 |
+#> |.....................|    -8.208 |    -4.851 |...........|...........|
+#> |   48|     475.96032 |     1.013 |   -0.9572 |   -0.9335 |   -0.9601 |
+#> |.....................|   -0.9647 |   -0.9218 |   -0.6944 |   -0.7034 |
+#> |.....................|   -0.9370 |   -0.5368 |   -0.7166 |   -0.6928 |
+#> |.....................|   -0.5905 |   -0.7221 |...........|...........|
+#> |    U|     475.96032 |     101.3 |    -4.057 |   -0.9346 |    -2.393 |
+#> |.....................|    -4.065 |  -0.01100 |    0.8077 |   0.07425 |
+#> |.....................|    0.6562 |     2.141 |     1.494 |     1.388 |
+#> |.....................|     1.924 |     1.355 |...........|...........|
+#> |    X|     475.96032 |     101.3 |   0.01730 |    0.2820 |   0.09138 |
+#> |.....................|   0.01717 |    0.4972 |    0.8077 |   0.07425 |
+#> |.....................|    0.6562 |     2.141 |     1.494 |     1.388 |
+#> |.....................|     1.924 |     1.355 |...........|...........|
+#> |    F| Forward Diff. |     22.21 |   -0.6469 |    0.1490 |   -0.3297 |
+#> |.....................|   -0.9912 |  0.008804 |    -6.697 |    -7.730 |
+#> |.....................|     1.011 |    -9.295 |    -5.014 |    -5.737 |
+#> |.....................|    -7.990 |    -4.768 |...........|...........|
+#> |   49|     475.69232 |     1.007 |   -0.9579 |   -0.9338 |   -0.9597 |
+#> |.....................|   -0.9645 |   -0.9219 |   -0.6939 |   -0.7032 |
+#> |.....................|   -0.9375 |   -0.5243 |   -0.7149 |   -0.6885 |
+#> |.....................|   -0.5813 |   -0.7168 |...........|...........|
+#> |    U|     475.69232 |     100.7 |    -4.058 |   -0.9348 |    -2.392 |
+#> |.....................|    -4.064 |  -0.01100 |    0.8078 |   0.07426 |
+#> |.....................|    0.6559 |     2.161 |     1.496 |     1.393 |
+#> |.....................|     1.937 |     1.361 |...........|...........|
+#> |    X|     475.69232 |     100.7 |   0.01729 |    0.2819 |   0.09141 |
+#> |.....................|   0.01717 |    0.4972 |    0.8078 |   0.07426 |
+#> |.....................|    0.6559 |     2.161 |     1.496 |     1.393 |
+#> |.....................|     1.937 |     1.361 |...........|...........|
+#> |    F| Forward Diff. |    -16.63 |    -1.703 |   -0.3428 |  -0.06069 |
+#> |.....................|   -0.9074 |   0.01024 |    -7.409 |    -9.759 |
+#> |.....................|    0.6668 |    -9.063 |    -4.970 |    -5.451 |
+#> |.....................|    -7.786 |    -4.607 |...........|...........|
+#> |   50|     475.41012 |     1.012 |   -0.9580 |   -0.9340 |   -0.9594 |
+#> |.....................|   -0.9645 |   -0.9219 |   -0.6912 |   -0.6928 |
+#> |.....................|   -0.9358 |   -0.5138 |   -0.7150 |   -0.6862 |
+#> |.....................|   -0.5743 |   -0.7128 |...........|...........|
+#> |    U|     475.41012 |     101.2 |    -4.058 |   -0.9351 |    -2.392 |
+#> |.....................|    -4.064 |  -0.01101 |    0.8088 |   0.07461 |
+#> |.....................|    0.6570 |     2.177 |     1.496 |     1.396 |
+#> |.....................|     1.948 |     1.365 |...........|...........|
+#> |    X|     475.41012 |     101.2 |   0.01728 |    0.2819 |   0.09144 |
+#> |.....................|   0.01717 |    0.4972 |    0.8088 |   0.07461 |
+#> |.....................|    0.6570 |     2.177 |     1.496 |     1.396 |
+#> |.....................|     1.948 |     1.365 |...........|...........|
+#> |    F| Forward Diff. |     17.88 |   -0.8521 |   0.09625 |   -0.2834 |
+#> |.....................|    -1.006 |  0.008928 |    -8.320 |    -8.272 |
+#> |.....................|    0.6841 |    -8.896 |    -4.958 |    -5.482 |
+#> |.....................|    -7.690 |    -4.565 |...........|...........|
+#> |   51|     475.17343 |     1.006 |   -0.9580 |   -0.9344 |   -0.9592 |
+#> |.....................|   -0.9643 |   -0.9219 |   -0.6806 |   -0.6840 |
+#> |.....................|   -0.9328 |   -0.5062 |   -0.7153 |   -0.6852 |
+#> |.....................|   -0.5694 |   -0.7102 |...........|...........|
+#> |    U|     475.17343 |     100.6 |    -4.058 |   -0.9354 |    -2.392 |
+#> |.....................|    -4.064 |  -0.01101 |    0.8127 |   0.07490 |
+#> |.....................|    0.6590 |     2.189 |     1.495 |     1.397 |
+#> |.....................|     1.955 |     1.368 |...........|...........|
+#> |    X|     475.17343 |     100.6 |   0.01728 |    0.2818 |   0.09146 |
+#> |.....................|   0.01718 |    0.4972 |    0.8127 |   0.07490 |
+#> |.....................|    0.6590 |     2.189 |     1.495 |     1.397 |
+#> |.....................|     1.955 |     1.368 |...........|...........|
+#> |    F| Forward Diff. |    -22.54 |    -1.885 |   -0.4332 | -0.003109 |
+#> |.....................|   -0.9120 |   0.01053 |    -7.129 |    -7.659 |
+#> |.....................|    0.8338 |    -8.700 |    -4.918 |    -5.365 |
+#> |.....................|    -7.558 |    -4.481 |...........|...........|
+#> |   52|     474.94312 |     1.012 |   -0.9570 |   -0.9345 |   -0.9591 |
+#> |.....................|   -0.9638 |   -0.9220 |   -0.6676 |   -0.6825 |
+#> |.....................|   -0.9307 |   -0.4984 |   -0.7146 |   -0.6834 |
+#> |.....................|   -0.5639 |   -0.7072 |...........|...........|
+#> |    U|     474.94312 |     101.2 |    -4.057 |   -0.9355 |    -2.392 |
+#> |.....................|    -4.064 |  -0.01101 |    0.8175 |   0.07495 |
+#> |.....................|    0.6604 |     2.202 |     1.496 |     1.399 |
+#> |.....................|     1.963 |     1.372 |...........|...........|
+#> |    X|     474.94312 |     101.2 |   0.01730 |    0.2818 |   0.09147 |
+#> |.....................|   0.01718 |    0.4972 |    0.8175 |   0.07495 |
+#> |.....................|    0.6604 |     2.202 |     1.496 |     1.399 |
+#> |.....................|     1.963 |     1.372 |...........|...........|
+#> |    F| Forward Diff. |     20.08 |   -0.5236 |    0.1181 |   -0.2986 |
+#> |.....................|   -0.9599 |  0.008866 |    -5.310 |    -6.088 |
+#> |.....................|    0.8565 |    -8.707 |    -4.867 |    -5.430 |
+#> |.....................|    -7.458 |    -4.464 |...........|...........|
+#> |   53|     474.70657 |     1.007 |   -0.9569 |   -0.9346 |   -0.9588 |
+#> |.....................|   -0.9629 |   -0.9220 |   -0.6640 |   -0.6851 |
+#> |.....................|   -0.9296 |   -0.4868 |   -0.7112 |   -0.6784 |
+#> |.....................|   -0.5553 |   -0.7021 |...........|...........|
+#> |    U|     474.70657 |     100.7 |    -4.057 |   -0.9356 |    -2.392 |
+#> |.....................|    -4.063 |  -0.01101 |    0.8188 |   0.07487 |
+#> |.....................|    0.6612 |     2.220 |     1.500 |     1.405 |
+#> |.....................|     1.976 |     1.378 |...........|...........|
+#> |    X|     474.70657 |     100.7 |   0.01730 |    0.2818 |   0.09149 |
+#> |.....................|   0.01720 |    0.4972 |    0.8188 |   0.07487 |
+#> |.....................|    0.6612 |     2.220 |     1.500 |     1.405 |
+#> |.....................|     1.976 |     1.378 |...........|...........|
+#> |    F| Forward Diff. |    -17.64 |    -1.502 |   -0.3627 |  -0.03824 |
+#> |.....................|   -0.7798 |   0.01049 |    -5.965 |    -8.154 |
+#> |.....................|    0.5631 |    -8.385 |    -4.675 |    -5.151 |
+#> |.....................|    -7.306 |    -4.317 |...........|...........|
+#> |   54|     474.46623 |     1.012 |   -0.9580 |   -0.9346 |   -0.9586 |
+#> |.....................|   -0.9630 |   -0.9221 |   -0.6659 |   -0.6813 |
+#> |.....................|   -0.9264 |   -0.4751 |   -0.7083 |   -0.6739 |
+#> |.....................|   -0.5464 |   -0.6970 |...........|...........|
+#> |    U|     474.46623 |     101.2 |    -4.058 |   -0.9356 |    -2.391 |
+#> |.....................|    -4.063 |  -0.01101 |    0.8181 |   0.07499 |
+#> |.....................|    0.6633 |     2.239 |     1.504 |     1.410 |
+#> |.....................|     1.989 |     1.384 |...........|...........|
+#> |    X|     474.46623 |     101.2 |   0.01728 |    0.2818 |   0.09151 |
+#> |.....................|   0.01720 |    0.4972 |    0.8181 |   0.07499 |
+#> |.....................|    0.6633 |     2.239 |     1.504 |     1.410 |
+#> |.....................|     1.989 |     1.384 |...........|...........|
+#> |    F| Forward Diff. |     15.93 |   -0.7754 |   0.09266 |   -0.2754 |
+#> |.....................|   -0.8835 |  0.009135 |    -6.026 |    -6.068 |
+#> |.....................|    0.8217 |    -8.210 |    -4.532 |    -5.141 |
+#> |.....................|    -7.011 |    -4.237 |...........|...........|
+#> |   55|     474.23394 |     1.006 |   -0.9577 |   -0.9351 |   -0.9581 |
+#> |.....................|   -0.9633 |   -0.9221 |   -0.6610 |   -0.6793 |
+#> |.....................|   -0.9234 |   -0.4633 |   -0.7068 |   -0.6694 |
+#> |.....................|   -0.5382 |   -0.6917 |...........|...........|
+#> |    U|     474.23394 |     100.6 |    -4.058 |   -0.9360 |    -2.391 |
+#> |.....................|    -4.063 |  -0.01101 |    0.8199 |   0.07506 |
+#> |.....................|    0.6654 |     2.257 |     1.506 |     1.415 |
+#> |.....................|     2.001 |     1.390 |...........|...........|
+#> |    X|     474.23394 |     100.6 |   0.01729 |    0.2817 |   0.09156 |
+#> |.....................|   0.01719 |    0.4972 |    0.8199 |   0.07506 |
+#> |.....................|    0.6654 |     2.257 |     1.506 |     1.415 |
+#> |.....................|     2.001 |     1.390 |...........|...........|
+#> |    F| Forward Diff. |    -20.30 |    -1.703 |   -0.3919 | -0.002629 |
+#> |.....................|   -0.8653 |   0.01064 |    -4.947 |    -7.765 |
+#> |.....................|    0.7818 |    -8.010 |    -4.437 |    -4.875 |
+#> |.....................|    -6.938 |    -4.094 |...........|...........|
+#> |   56|     473.98878 |     1.011 |   -0.9542 |   -0.9354 |   -0.9578 |
+#> |.....................|   -0.9619 |   -0.9222 |   -0.6621 |   -0.6770 |
+#> |.....................|   -0.9235 |   -0.4507 |   -0.7053 |   -0.6648 |
+#> |.....................|   -0.5298 |   -0.6863 |...........|...........|
+#> |    U|     473.98878 |     101.1 |    -4.054 |   -0.9363 |    -2.390 |
+#> |.....................|    -4.062 |  -0.01101 |    0.8195 |   0.07514 |
+#> |.....................|    0.6653 |     2.277 |     1.508 |     1.421 |
+#> |.....................|     2.013 |     1.396 |...........|...........|
+#> |    X|     473.98878 |     101.1 |   0.01735 |    0.2816 |   0.09159 |
+#> |.....................|   0.01722 |    0.4972 |    0.8195 |   0.07514 |
+#> |.....................|    0.6653 |     2.277 |     1.508 |     1.421 |
+#> |.....................|     2.013 |     1.396 |...........|...........|
+#> |   57|     473.76836 |     1.011 |   -0.9500 |   -0.9359 |   -0.9574 |
+#> |.....................|   -0.9601 |   -0.9223 |   -0.6653 |   -0.6763 |
+#> |.....................|   -0.9234 |   -0.4357 |   -0.7046 |   -0.6601 |
+#> |.....................|   -0.5205 |   -0.6802 |...........|...........|
+#> |    U|     473.76836 |     101.1 |    -4.050 |   -0.9368 |    -2.390 |
+#> |.....................|    -4.060 |  -0.01101 |    0.8183 |   0.07516 |
+#> |.....................|    0.6654 |     2.301 |     1.509 |     1.426 |
+#> |.....................|     2.027 |     1.403 |...........|...........|
+#> |    X|     473.76836 |     101.1 |   0.01742 |    0.2815 |   0.09163 |
+#> |.....................|   0.01725 |    0.4972 |    0.8183 |   0.07516 |
+#> |.....................|    0.6654 |     2.301 |     1.509 |     1.426 |
+#> |.....................|     2.027 |     1.403 |...........|...........|
+#> |   58|     472.96708 |     1.009 |   -0.9317 |   -0.9384 |   -0.9555 |
+#> |.....................|   -0.9527 |   -0.9228 |   -0.6791 |   -0.6735 |
+#> |.....................|   -0.9230 |   -0.3711 |   -0.7015 |   -0.6396 |
+#> |.....................|   -0.4802 |   -0.6537 |...........|...........|
+#> |    U|     472.96708 |     100.9 |    -4.032 |   -0.9391 |    -2.388 |
+#> |.....................|    -4.053 |  -0.01101 |    0.8133 |   0.07525 |
+#> |.....................|    0.6656 |     2.403 |     1.513 |     1.450 |
+#> |.....................|     2.087 |     1.433 |...........|...........|
+#> |    X|     472.96708 |     100.9 |   0.01774 |    0.2811 |   0.09180 |
+#> |.....................|   0.01737 |    0.4972 |    0.8133 |   0.07525 |
+#> |.....................|    0.6656 |     2.403 |     1.513 |     1.450 |
+#> |.....................|     2.087 |     1.433 |...........|...........|
+#> |   59|     472.23802 |     1.005 |   -0.8811 |   -0.9451 |   -0.9502 |
+#> |.....................|   -0.9323 |   -0.9240 |   -0.7172 |   -0.6658 |
+#> |.....................|   -0.9220 |   -0.1924 |   -0.6930 |   -0.5829 |
+#> |.....................|   -0.3688 |   -0.5805 |...........|...........|
+#> |    U|     472.23802 |     100.5 |    -3.981 |   -0.9455 |    -2.383 |
+#> |.....................|    -4.032 |  -0.01103 |    0.7994 |   0.07551 |
+#> |.....................|    0.6663 |     2.686 |     1.523 |     1.515 |
+#> |.....................|     2.251 |     1.518 |...........|...........|
+#> |    X|     472.23802 |     100.5 |   0.01866 |    0.2798 |   0.09228 |
+#> |.....................|   0.01773 |    0.4972 |    0.7994 |   0.07551 |
+#> |.....................|    0.6663 |     2.686 |     1.523 |     1.515 |
+#> |.....................|     2.251 |     1.518 |...........|...........|
+#> |    F| Forward Diff. |    -10.41 |     25.09 |    -1.964 |    0.8913 |
+#> |.....................|     4.956 |   0.02208 |    -7.724 |    -8.360 |
+#> |.....................|   0.01123 |    -2.619 |    -3.185 |    -1.886 |
+#> |.....................|    -3.376 |    -1.727 |...........|...........|
+#> |   60|     470.34942 |     1.020 |    -1.007 |   -0.9408 |   -0.9496 |
+#> |.....................|   -0.9429 |   -0.9259 |   -0.7397 |   -0.6282 |
+#> |.....................|   -0.9207 |   0.06578 |   -0.6693 |   -0.4998 |
+#> |.....................|   -0.2002 |   -0.4722 |...........|...........|
+#> |    U|     470.34942 |     102.0 |    -4.107 |   -0.9414 |    -2.382 |
+#> |.....................|    -4.043 |  -0.01105 |    0.7911 |   0.07677 |
+#> |.....................|    0.6672 |     3.094 |     1.553 |     1.610 |
+#> |.....................|     2.500 |     1.642 |...........|...........|
+#> |    X|     470.34942 |     102.0 |   0.01646 |    0.2806 |   0.09235 |
+#> |.....................|   0.01755 |    0.4972 |    0.7911 |   0.07677 |
+#> |.....................|    0.6672 |     3.094 |     1.553 |     1.610 |
+#> |.....................|     2.500 |     1.642 |...........|...........|
+#> |    F| Forward Diff. |     49.94 |    -17.10 |     1.872 |    -1.413 |
+#> |.....................|     4.684 |  0.005064 |    -7.591 |    -5.431 |
+#> |.....................|    0.2085 |    -2.165 |    -1.196 |   -0.1732 |
+#> |.....................|   -0.4074 |   -0.2957 |...........|...........|
+#> |   61|     480.76065 |    0.9913 |   -0.9789 |   -0.9482 |   -0.9314 |
+#> |.....................|    -1.207 |   -0.9279 |   -0.6546 |   -0.4866 |
+#> |.....................|   -0.9168 |    0.2296 |   -0.6593 |   -0.5083 |
+#> |.....................|   -0.1307 |   -0.4332 |...........|...........|
+#> |    U|     480.76065 |     99.13 |    -4.079 |   -0.9483 |    -2.364 |
+#> |.....................|    -4.307 |  -0.01107 |    0.8222 |   0.08152 |
+#> |.....................|    0.6698 |     3.353 |     1.566 |     1.601 |
+#> |.....................|     2.603 |     1.687 |...........|...........|
+#> |    X|     480.76065 |     99.13 |   0.01693 |    0.2792 |   0.09404 |
+#> |.....................|   0.01347 |    0.4972 |    0.8222 |   0.08152 |
+#> |.....................|    0.6698 |     3.353 |     1.566 |     1.601 |
+#> |.....................|     2.603 |     1.687 |...........|...........|
+#> |   62|     472.12595 |    0.9860 |   -0.9933 |   -0.9428 |   -0.9466 |
+#> |.....................|   -0.9755 |   -0.9261 |   -0.7254 |   -0.6089 |
+#> |.....................|   -0.9204 |   0.08558 |   -0.6674 |   -0.5007 |
+#> |.....................|   -0.1921 |   -0.4676 |...........|...........|
+#> |    U|     472.12595 |     98.60 |    -4.093 |   -0.9433 |    -2.379 |
+#> |.....................|    -4.076 |  -0.01105 |    0.7964 |   0.07742 |
+#> |.....................|    0.6674 |     3.125 |     1.556 |     1.609 |
+#> |.....................|     2.512 |     1.648 |...........|...........|
+#> |    X|     472.12595 |     98.60 |   0.01668 |    0.2802 |   0.09262 |
+#> |.....................|   0.01698 |    0.4972 |    0.7964 |   0.07742 |
+#> |.....................|    0.6674 |     3.125 |     1.556 |     1.609 |
+#> |.....................|     2.512 |     1.648 |...........|...........|
+#> |   63|     470.26696 |     1.005 |    -1.002 |   -0.9414 |   -0.9491 |
+#> |.....................|   -0.9444 |   -0.9259 |   -0.7373 |   -0.6265 |
+#> |.....................|   -0.9207 |   0.06646 |   -0.6689 |   -0.4998 |
+#> |.....................|   -0.2001 |   -0.4721 |...........|...........|
+#> |    U|     470.26696 |     100.5 |    -4.102 |   -0.9420 |    -2.382 |
+#> |.....................|    -4.044 |  -0.01105 |    0.7920 |   0.07683 |
+#> |.....................|    0.6672 |     3.095 |     1.554 |     1.610 |
+#> |.....................|     2.501 |     1.642 |...........|...........|
+#> |    X|     470.26696 |     100.5 |   0.01654 |    0.2805 |   0.09239 |
+#> |.....................|   0.01752 |    0.4972 |    0.7920 |   0.07683 |
+#> |.....................|    0.6672 |     3.095 |     1.554 |     1.610 |
+#> |.....................|     2.501 |     1.642 |...........|...........|
+#> |    F| Forward Diff. |    -57.97 |    -21.53 |    0.3336 |   -0.1964 |
+#> |.....................|     4.949 |   0.01388 |    -7.299 |    -5.475 |
+#> |.....................|    0.3363 |    -1.951 |    -1.200 |    0.1716 |
+#> |.....................|   -0.4705 |   -0.2755 |...........|...........|
+#> |   64|     469.85165 |     1.014 |   -0.9972 |   -0.9415 |   -0.9489 |
+#> |.....................|   -0.9548 |   -0.9260 |   -0.7307 |   -0.6235 |
+#> |.....................|   -0.9208 |   0.07069 |   -0.6682 |   -0.5004 |
+#> |.....................|   -0.1987 |   -0.4712 |...........|...........|
+#> |    U|     469.85165 |     101.4 |    -4.097 |   -0.9421 |    -2.382 |
+#> |.....................|    -4.055 |  -0.01105 |    0.7944 |   0.07693 |
+#> |.....................|    0.6671 |     3.101 |     1.555 |     1.610 |
+#> |.....................|     2.503 |     1.643 |...........|...........|
+#> |    X|     469.85165 |     101.4 |   0.01662 |    0.2805 |   0.09241 |
+#> |.....................|   0.01734 |    0.4972 |    0.7944 |   0.07693 |
+#> |.....................|    0.6671 |     3.101 |     1.555 |     1.610 |
+#> |.....................|     2.503 |     1.643 |...........|...........|
+#> |    F| Forward Diff. |     9.302 |    -15.01 |     1.055 |   -0.6015 |
+#> |.....................|     1.082 |  0.004567 |    -8.090 |    -5.650 |
+#> |.....................|   -0.2579 |    -2.336 |    -1.339 |  -0.08766 |
+#> |.....................|   -0.5208 |   -0.3062 |...........|...........|
+#> |   65|     469.69998 |     1.007 |   -0.9853 |   -0.9423 |   -0.9484 |
+#> |.....................|   -0.9564 |   -0.9260 |   -0.7231 |   -0.6186 |
+#> |.....................|   -0.9204 |   0.07309 |   -0.6671 |   -0.5006 |
+#> |.....................|   -0.1982 |   -0.4709 |...........|...........|
+#> |    U|     469.69998 |     100.7 |    -4.085 |   -0.9429 |    -2.381 |
+#> |.....................|    -4.056 |  -0.01105 |    0.7972 |   0.07709 |
+#> |.....................|    0.6674 |     3.105 |     1.556 |     1.610 |
+#> |.....................|     2.503 |     1.644 |...........|...........|
+#> |    X|     469.69998 |     100.7 |   0.01682 |    0.2803 |   0.09245 |
+#> |.....................|   0.01731 |    0.4972 |    0.7972 |   0.07709 |
+#> |.....................|    0.6674 |     3.105 |     1.556 |     1.610 |
+#> |.....................|     2.503 |     1.644 |...........|...........|
+#> |    F| Forward Diff. |    -36.86 |    -12.39 |    0.1028 |    0.1354 |
+#> |.....................|    0.7614 |  0.008951 |    -8.542 |    -6.076 |
+#> |.....................|   -0.2246 |    -2.313 |    -1.235 |    0.1010 |
+#> |.....................|   -0.5654 |   -0.2998 |...........|...........|
+#> |   66|     469.45579 |     1.013 |   -0.9821 |   -0.9425 |   -0.9491 |
+#> |.....................|   -0.9562 |   -0.9260 |   -0.7099 |   -0.6134 |
+#> |.....................|   -0.9182 |   0.07758 |   -0.6674 |   -0.5042 |
+#> |.....................|   -0.1996 |   -0.4719 |...........|...........|
+#> |    U|     469.45579 |     101.3 |    -4.082 |   -0.9430 |    -2.382 |
+#> |.....................|    -4.056 |  -0.01105 |    0.8020 |   0.07727 |
+#> |.....................|    0.6689 |     3.112 |     1.556 |     1.605 |
+#> |.....................|     2.501 |     1.643 |...........|...........|
+#> |    X|     469.45579 |     101.3 |   0.01687 |    0.2803 |   0.09239 |
+#> |.....................|   0.01731 |    0.4972 |    0.8020 |   0.07727 |
+#> |.....................|    0.6689 |     3.112 |     1.556 |     1.605 |
+#> |.....................|     2.501 |     1.643 |...........|...........|
+#> |    F| Forward Diff. |     7.383 |    -7.976 |    0.5709 |   -0.2773 |
+#> |.....................|    0.4749 |  0.005686 |    -7.013 |    -4.742 |
+#> |.....................|   -0.3037 |    -2.186 |    -1.089 |  -0.04880 |
+#> |.....................|   -0.5661 |   -0.3435 |...........|...........|
+#> |   67|     469.35718 |     1.007 |   -0.9760 |   -0.9430 |   -0.9493 |
+#> |.....................|   -0.9561 |   -0.9261 |   -0.6977 |   -0.6075 |
+#> |.....................|   -0.9166 |   0.08278 |   -0.6675 |   -0.5068 |
+#> |.....................|   -0.2001 |   -0.4722 |...........|...........|
+#> |    U|     469.35718 |     100.7 |    -4.076 |   -0.9435 |    -2.382 |
+#> |.....................|    -4.056 |  -0.01105 |    0.8065 |   0.07747 |
+#> |.....................|    0.6700 |     3.121 |     1.556 |     1.602 |
+#> |.....................|     2.501 |     1.642 |...........|...........|
+#> |    X|     469.35718 |     100.7 |   0.01698 |    0.2802 |   0.09237 |
+#> |.....................|   0.01732 |    0.4972 |    0.8065 |   0.07747 |
+#> |.....................|    0.6700 |     3.121 |     1.556 |     1.602 |
+#> |.....................|     2.501 |     1.642 |...........|...........|
+#> |    F| Forward Diff. |    -28.34 |    -7.406 |  -0.07810 |    0.1748 |
+#> |.....................|    0.6873 |  0.009156 |    -6.696 |    -4.901 |
+#> |.....................|   -0.2913 |    -2.170 |    -1.086 |  -0.02443 |
+#> |.....................|   -0.6503 |   -0.3607 |...........|...........|
+#> |   68|     469.19639 |     1.012 |   -0.9749 |   -0.9431 |   -0.9497 |
+#> |.....................|   -0.9576 |   -0.9262 |   -0.6862 |   -0.6021 |
+#> |.....................|   -0.9137 |   0.09137 |   -0.6688 |   -0.5111 |
+#> |.....................|   -0.2009 |   -0.4726 |...........|...........|
+#> |    U|     469.19639 |     101.2 |    -4.075 |   -0.9436 |    -2.382 |
+#> |.....................|    -4.058 |  -0.01105 |    0.8107 |   0.07765 |
+#> |.....................|    0.6719 |     3.134 |     1.554 |     1.597 |
+#> |.....................|     2.499 |     1.642 |...........|...........|
+#> |    X|     469.19639 |     101.2 |   0.01699 |    0.2802 |   0.09233 |
+#> |.....................|   0.01729 |    0.4972 |    0.8107 |   0.07765 |
+#> |.....................|    0.6719 |     3.134 |     1.554 |     1.597 |
+#> |.....................|     2.499 |     1.642 |...........|...........|
+#> |    F| Forward Diff. |     4.760 |    -4.629 |    0.3091 |   -0.1325 |
+#> |.....................|  -0.04401 |  0.005819 |    -5.826 |    -2.903 |
+#> |.....................|   -0.1562 |    -2.130 |    -1.121 |   -0.2535 |
+#> |.....................|   -0.6922 |   -0.4141 |...........|...........|
+#> |   69|     469.12263 |     1.008 |   -0.9713 |   -0.9434 |   -0.9499 |
+#> |.....................|   -0.9575 |   -0.9262 |   -0.6727 |   -0.6012 |
+#> |.....................|   -0.9123 |   0.09974 |   -0.6678 |   -0.5134 |
+#> |.....................|   -0.2010 |   -0.4726 |...........|...........|
+#> |    U|     469.12263 |     100.8 |    -4.071 |   -0.9438 |    -2.383 |
+#> |.....................|    -4.058 |  -0.01105 |    0.8156 |   0.07768 |
+#> |.....................|    0.6728 |     3.147 |     1.555 |     1.595 |
+#> |.....................|     2.499 |     1.642 |...........|...........|
+#> |    X|     469.12263 |     100.8 |   0.01706 |    0.2801 |   0.09232 |
+#> |.....................|   0.01729 |    0.4972 |    0.8156 |   0.07768 |
+#> |.....................|    0.6728 |     3.147 |     1.555 |     1.595 |
+#> |.....................|     2.499 |     1.642 |...........|...........|
+#> |    F| Forward Diff. |    -20.86 |    -4.532 |   -0.1251 |    0.1663 |
+#> |.....................|    0.1284 |  0.008177 |    -5.101 |    -3.487 |
+#> |.....................|   -0.2183 |    -2.137 |    -1.171 |   -0.2991 |
+#> |.....................|   -0.6817 |   -0.4261 |...........|...........|
+#> |   70|     469.02483 |     1.011 |   -0.9711 |   -0.9434 |   -0.9500 |
+#> |.....................|   -0.9569 |   -0.9263 |   -0.6616 |   -0.6038 |
+#> |.....................|   -0.9105 |    0.1111 |   -0.6656 |   -0.5157 |
+#> |.....................|   -0.2026 |   -0.4730 |...........|...........|
+#> |    U|     469.02483 |     101.1 |    -4.071 |   -0.9439 |    -2.383 |
+#> |.....................|    -4.057 |  -0.01105 |    0.8196 |   0.07759 |
+#> |.....................|    0.6741 |     3.165 |     1.558 |     1.592 |
+#> |.....................|     2.497 |     1.641 |...........|...........|
+#> |    X|     469.02483 |     101.1 |   0.01706 |    0.2801 |   0.09230 |
+#> |.....................|   0.01730 |    0.4972 |    0.8196 |   0.07759 |
+#> |.....................|    0.6741 |     3.165 |     1.558 |     1.592 |
+#> |.....................|     2.497 |     1.641 |...........|...........|
+#> |    F| Forward Diff. |     4.786 |    -2.589 |    0.2046 |   -0.1061 |
+#> |.....................|    0.1383 |  0.006373 |    -4.080 |    -2.588 |
+#> |.....................|   -0.1418 |    -1.956 |   -0.9118 |   -0.4226 |
+#> |.....................|   -0.7530 |   -0.4429 |...........|...........|
+#> |   71|     468.97618 |     1.009 |   -0.9710 |   -0.9439 |   -0.9494 |
+#> |.....................|   -0.9625 |   -0.9265 |   -0.6573 |   -0.5998 |
+#> |.....................|   -0.9085 |    0.1255 |   -0.6648 |   -0.5157 |
+#> |.....................|   -0.2015 |   -0.4719 |...........|...........|
+#> |    U|     468.97618 |     100.9 |    -4.071 |   -0.9443 |    -2.382 |
+#> |.....................|    -4.063 |  -0.01106 |    0.8212 |   0.07773 |
+#> |.....................|    0.6755 |     3.188 |     1.559 |     1.592 |
+#> |.....................|     2.498 |     1.643 |...........|...........|
+#> |    X|     468.97618 |     100.9 |   0.01706 |    0.2800 |   0.09236 |
+#> |.....................|   0.01721 |    0.4972 |    0.8212 |   0.07773 |
+#> |.....................|    0.6755 |     3.188 |     1.559 |     1.592 |
+#> |.....................|     2.498 |     1.643 |...........|...........|
+#> |    F| Forward Diff. |    -11.25 |    -3.431 |  -0.02518 |    0.1501 |
+#> |.....................|    -1.529 |  0.005347 |    -4.655 |    -3.448 |
+#> |.....................|   -0.3102 |    -2.013 |   -0.8937 |   -0.3742 |
+#> |.....................|   -0.7403 |   -0.4511 |...........|...........|
+#> |   72|     468.91299 |     1.010 |   -0.9702 |   -0.9444 |   -0.9496 |
+#> |.....................|   -0.9534 |   -0.9266 |   -0.6524 |   -0.5929 |
+#> |.....................|   -0.9051 |    0.1362 |   -0.6665 |   -0.5172 |
+#> |.....................|   -0.2029 |   -0.4725 |...........|...........|
+#> |    U|     468.91299 |     101.0 |    -4.070 |   -0.9448 |    -2.382 |
+#> |.....................|    -4.053 |  -0.01106 |    0.8230 |   0.07796 |
+#> |.....................|    0.6777 |     3.205 |     1.557 |     1.590 |
+#> |.....................|     2.496 |     1.642 |...........|...........|
+#> |    X|     468.91299 |     101.0 |   0.01707 |    0.2799 |   0.09234 |
+#> |.....................|   0.01736 |    0.4972 |    0.8230 |   0.07796 |
+#> |.....................|    0.6777 |     3.205 |     1.557 |     1.590 |
+#> |.....................|     2.496 |     1.642 |...........|...........|
+#> |    F| Forward Diff. |    -8.129 |    -2.859 |  -0.02802 | -0.004107 |
+#> |.....................|     1.281 |  0.009120 |    -4.291 |    -2.058 |
+#> |.....................|   -0.1551 |    -2.052 |    -1.121 |   -0.5699 |
+#> |.....................|   -0.7547 |   -0.4743 |...........|...........|
+#> |   73|     471.25018 |     1.036 |   -0.9607 |   -0.9443 |   -0.9496 |
+#> |.....................|   -0.9576 |   -0.9266 |   -0.6382 |   -0.5860 |
+#> |.....................|   -0.9046 |    0.1430 |   -0.6628 |   -0.5153 |
+#> |.....................|   -0.2004 |   -0.4709 |...........|...........|
+#> |    U|     471.25018 |     103.6 |    -4.061 |   -0.9447 |    -2.382 |
+#> |.....................|    -4.058 |  -0.01106 |    0.8282 |   0.07819 |
+#> |.....................|    0.6781 |     3.216 |     1.562 |     1.593 |
+#> |.....................|     2.500 |     1.644 |...........|...........|
+#> |    X|     471.25018 |     103.6 |   0.01724 |    0.2800 |   0.09234 |
+#> |.....................|   0.01729 |    0.4972 |    0.8282 |   0.07819 |
+#> |.....................|    0.6781 |     3.216 |     1.562 |     1.593 |
+#> |.....................|     2.500 |     1.644 |...........|...........|
+#> |   74|     468.90555 |     1.012 |   -0.9692 |   -0.9444 |   -0.9496 |
+#> |.....................|   -0.9538 |   -0.9266 |   -0.6510 |   -0.5922 |
+#> |.....................|   -0.9050 |    0.1369 |   -0.6661 |   -0.5170 |
+#> |.....................|   -0.2027 |   -0.4723 |...........|...........|
+#> |    U|     468.90555 |     101.2 |    -4.069 |   -0.9448 |    -2.382 |
+#> |.....................|    -4.054 |  -0.01106 |    0.8235 |   0.07798 |
+#> |.....................|    0.6778 |     3.206 |     1.557 |     1.591 |
+#> |.....................|     2.497 |     1.642 |...........|...........|
+#> |    X|     468.90555 |     101.2 |   0.01709 |    0.2799 |   0.09234 |
+#> |.....................|   0.01736 |    0.4972 |    0.8235 |   0.07798 |
+#> |.....................|    0.6778 |     3.206 |     1.557 |     1.591 |
+#> |.....................|     2.497 |     1.642 |...........|...........|
+#> |    F| Forward Diff. |     11.48 |    -1.027 |    0.1960 |   -0.1655 |
+#> |.....................|    0.9827 |  0.007474 |    -3.960 |    -2.226 |
+#> |.....................|   -0.2199 |    -2.046 |    -1.158 |   -0.6171 |
+#> |.....................|   -0.7493 |   -0.4797 |...........|...........|
+#> |   75|     468.88608 |     1.010 |   -0.9691 |   -0.9444 |   -0.9495 |
+#> |.....................|   -0.9542 |   -0.9266 |   -0.6497 |   -0.5917 |
+#> |.....................|   -0.9044 |    0.1391 |   -0.6659 |   -0.5166 |
+#> |.....................|   -0.2026 |   -0.4722 |...........|...........|
+#> |    U|     468.88608 |     101.0 |    -4.069 |   -0.9448 |    -2.382 |
+#> |.....................|    -4.054 |  -0.01106 |    0.8240 |   0.07799 |
+#> |.....................|    0.6782 |     3.210 |     1.558 |     1.591 |
+#> |.....................|     2.497 |     1.642 |...........|...........|
+#> |    X|     468.88608 |     101.0 |   0.01709 |    0.2799 |   0.09235 |
+#> |.....................|   0.01735 |    0.4972 |    0.8240 |   0.07799 |
+#> |.....................|    0.6782 |     3.210 |     1.558 |     1.591 |
+#> |.....................|     2.497 |     1.642 |...........|...........|
+#> |    F| Forward Diff. |    -2.784 |    -1.944 |  0.009889 |  -0.02065 |
+#> |.....................|    0.9781 |  0.008521 |    -3.685 |    -1.489 |
+#> |.....................|  -0.08345 |    -1.963 |   -0.9408 |   -0.4978 |
+#> |.....................|   -0.7271 |   -0.4658 |...........|...........|
+#> |   76|     468.87604 |     1.012 |   -0.9680 |   -0.9444 |   -0.9495 |
+#> |.....................|   -0.9547 |   -0.9266 |   -0.6476 |   -0.5909 |
+#> |.....................|   -0.9043 |    0.1402 |   -0.6654 |   -0.5163 |
+#> |.....................|   -0.2021 |   -0.4719 |...........|...........|
+#> |    U|     468.87604 |     101.2 |    -4.068 |   -0.9448 |    -2.382 |
+#> |.....................|    -4.055 |  -0.01106 |    0.8248 |   0.07802 |
+#> |.....................|    0.6783 |     3.211 |     1.558 |     1.591 |
+#> |.....................|     2.498 |     1.643 |...........|...........|
+#> |    X|     468.87604 |     101.2 |   0.01711 |    0.2799 |   0.09235 |
+#> |.....................|   0.01734 |    0.4972 |    0.8248 |   0.07802 |
+#> |.....................|    0.6783 |     3.211 |     1.558 |     1.591 |
+#> |.....................|     2.498 |     1.643 |...........|...........|
+#> |    F| Forward Diff. |     9.309 |   -0.5261 |    0.1314 |   -0.1053 |
+#> |.....................|    0.6891 |  0.007435 |    -3.809 |    -2.129 |
+#> |.....................|   -0.2297 |    -2.013 |    -1.108 |   -0.5855 |
+#> |.....................|   -0.7533 |   -0.4780 |...........|...........|
+#> |   77|     468.85962 |     1.010 |   -0.9680 |   -0.9444 |   -0.9495 |
+#> |.....................|   -0.9550 |   -0.9266 |   -0.6462 |   -0.5907 |
+#> |.....................|   -0.9037 |    0.1428 |   -0.6653 |   -0.5160 |
+#> |.....................|   -0.2020 |   -0.4717 |...........|...........|
+#> |    U|     468.85962 |     101.0 |    -4.068 |   -0.9448 |    -2.382 |
+#> |.....................|    -4.055 |  -0.01106 |    0.8253 |   0.07803 |
+#> |.....................|    0.6787 |     3.215 |     1.558 |     1.592 |
+#> |.....................|     2.498 |     1.643 |...........|...........|
+#> |    X|     468.85962 |     101.0 |   0.01711 |    0.2799 |   0.09235 |
+#> |.....................|   0.01734 |    0.4972 |    0.8253 |   0.07803 |
+#> |.....................|    0.6787 |     3.215 |     1.558 |     1.592 |
+#> |.....................|     2.498 |     1.643 |...........|...........|
+#> |    F| Forward Diff. |    -1.556 |    -1.258 | -0.007590 |  0.001179 |
+#> |.....................|    0.7035 |  0.008243 |    -4.446 |    -2.277 |
+#> |.....................|   -0.2406 |    -1.984 |    -1.075 |   -0.5476 |
+#> |.....................|   -0.7588 |   -0.4741 |...........|...........|
+#> |   78|     468.84535 |     1.011 |   -0.9673 |   -0.9444 |   -0.9495 |
+#> |.....................|   -0.9554 |   -0.9266 |   -0.6436 |   -0.5895 |
+#> |.....................|   -0.9036 |    0.1439 |   -0.6647 |   -0.5157 |
+#> |.....................|   -0.2016 |   -0.4714 |...........|...........|
+#> |    U|     468.84535 |     101.1 |    -4.067 |   -0.9448 |    -2.382 |
+#> |.....................|    -4.055 |  -0.01106 |    0.8262 |   0.07807 |
+#> |.....................|    0.6788 |     3.217 |     1.559 |     1.592 |
+#> |.....................|     2.498 |     1.643 |...........|...........|
+#> |    X|     468.84535 |     101.1 |   0.01712 |    0.2799 |   0.09235 |
+#> |.....................|   0.01733 |    0.4972 |    0.8262 |   0.07807 |
+#> |.....................|    0.6788 |     3.217 |     1.559 |     1.592 |
+#> |.....................|     2.498 |     1.643 |...........|...........|
+#> |    F| Forward Diff. |     5.130 |   -0.4165 |   0.05789 |  -0.04298 |
+#> |.....................|    0.5152 |  0.007618 |    -4.342 |    -2.024 |
+#> |.....................|   -0.2412 |    -1.936 |   -0.8986 |   -0.4874 |
+#> |.....................|   -0.7551 |   -0.4761 |...........|...........|
+#> |   79|     468.83559 |     1.009 |   -0.9672 |   -0.9445 |   -0.9494 |
+#> |.....................|   -0.9556 |   -0.9266 |   -0.6414 |   -0.5890 |
+#> |.....................|   -0.9032 |    0.1455 |   -0.6647 |   -0.5153 |
+#> |.....................|   -0.2012 |   -0.4711 |...........|...........|
+#> |    U|     468.83559 |     100.9 |    -4.067 |   -0.9449 |    -2.382 |
+#> |.....................|    -4.056 |  -0.01106 |    0.8270 |   0.07809 |
+#> |.....................|    0.6790 |     3.220 |     1.559 |     1.593 |
+#> |.....................|     2.499 |     1.643 |...........|...........|
+#> |    X|     468.83559 |     100.9 |   0.01713 |    0.2799 |   0.09236 |
+#> |.....................|   0.01733 |    0.4972 |    0.8270 |   0.07809 |
+#> |.....................|    0.6790 |     3.220 |     1.559 |     1.593 |
+#> |.....................|     2.499 |     1.643 |...........|...........|
+#> |    F| Forward Diff. |    -7.676 |    -1.212 |   -0.1115 |   0.08612 |
+#> |.....................|    0.5488 |  0.008589 |    -2.761 |    -2.165 |
+#> |.....................|   -0.2456 |    -1.924 |   -0.8622 |   -0.4413 |
+#> |.....................|   -0.7592 |   -0.4720 |...........|...........|
+#> |   80|     468.82320 |     1.011 |   -0.9670 |   -0.9445 |   -0.9494 |
+#> |.....................|   -0.9559 |   -0.9267 |   -0.6401 |   -0.5885 |
+#> |.....................|   -0.9025 |    0.1478 |   -0.6651 |   -0.5152 |
+#> |.....................|   -0.2008 |   -0.4708 |...........|...........|
+#> |    U|      468.8232 |     101.1 |    -4.067 |   -0.9449 |    -2.382 |
+#> |.....................|    -4.056 |  -0.01106 |    0.8275 |   0.07810 |
+#> |.....................|    0.6795 |     3.223 |     1.559 |     1.593 |
+#> |.....................|     2.499 |     1.644 |...........|...........|
+#> |    X|      468.8232 |     101.1 |   0.01713 |    0.2799 |   0.09236 |
+#> |.....................|   0.01732 |    0.4972 |    0.8275 |   0.07810 |
+#> |.....................|    0.6795 |     3.223 |     1.559 |     1.593 |
+#> |.....................|     2.499 |     1.644 |...........|...........|
+#> |    F| Forward Diff. |     5.440 |   -0.1810 |   0.05193 |  -0.03082 |
+#> |.....................|    0.3483 |  0.007438 |    -3.541 |    -1.923 |
+#> |.....................|   -0.2409 |    -1.947 |    -1.058 |   -0.5469 |
+#> |.....................|   -0.7518 |   -0.4735 |...........|...........|
+#> |   81|     468.81154 |     1.010 |   -0.9671 |   -0.9445 |   -0.9493 |
+#> |.....................|   -0.9562 |   -0.9267 |   -0.6389 |   -0.5880 |
+#> |.....................|   -0.9017 |    0.1505 |   -0.6652 |   -0.5150 |
+#> |.....................|   -0.2005 |   -0.4704 |...........|...........|
+#> |    U|     468.81154 |     101.0 |    -4.067 |   -0.9449 |    -2.382 |
+#> |.....................|    -4.056 |  -0.01106 |    0.8279 |   0.07812 |
+#> |.....................|    0.6800 |     3.228 |     1.559 |     1.593 |
+#> |.....................|     2.500 |     1.644 |...........|...........|
+#> |    X|     468.81154 |     101.0 |   0.01713 |    0.2799 |   0.09237 |
+#> |.....................|   0.01732 |    0.4972 |    0.8279 |   0.07812 |
+#> |.....................|    0.6800 |     3.228 |     1.559 |     1.593 |
+#> |.....................|     2.500 |     1.644 |...........|...........|
+#> |    F| Forward Diff. |    -2.875 |   -0.7736 |  -0.05343 |   0.05244 |
+#> |.....................|    0.3113 |  0.007978 |    -4.161 |    -2.012 |
+#> |.....................|   -0.2433 |    -1.896 |   -0.8853 |   -0.4539 |
+#> |.....................|   -0.7524 |   -0.4694 |...........|...........|
+#> |   82|     468.80001 |     1.011 |   -0.9668 |   -0.9445 |   -0.9493 |
+#> |.....................|   -0.9563 |   -0.9267 |   -0.6364 |   -0.5873 |
+#> |.....................|   -0.9013 |    0.1522 |   -0.6651 |   -0.5147 |
+#> |.....................|   -0.2001 |   -0.4701 |...........|...........|
+#> |    U|     468.80001 |     101.1 |    -4.067 |   -0.9449 |    -2.382 |
+#> |.....................|    -4.056 |  -0.01106 |    0.8288 |   0.07814 |
+#> |.....................|    0.6803 |     3.230 |     1.559 |     1.593 |
+#> |.....................|     2.501 |     1.645 |...........|...........|
+#> |    X|     468.80001 |     101.1 |   0.01713 |    0.2799 |   0.09237 |
+#> |.....................|   0.01731 |    0.4972 |    0.8288 |   0.07814 |
+#> |.....................|    0.6803 |     3.230 |     1.559 |     1.593 |
+#> |.....................|     2.501 |     1.645 |...........|...........|
+#> |    F| Forward Diff. |     6.046 |   0.03721 |   0.05257 |  -0.02595 |
+#> |.....................|    0.1943 |  0.007238 |    -2.985 |    -2.233 |
+#> |.....................|   -0.3122 |    -1.891 |   -0.9609 |   -0.5652 |
+#> |.....................|   -0.8019 |   -0.4712 |...........|...........|
+#> |   83|     468.79133 |     1.009 |   -0.9669 |   -0.9445 |   -0.9492 |
+#> |.....................|   -0.9565 |   -0.9267 |   -0.6348 |   -0.5869 |
+#> |.....................|   -0.9006 |    0.1543 |   -0.6654 |   -0.5144 |
+#> |.....................|   -0.1996 |   -0.4698 |...........|...........|
+#> |    U|     468.79133 |     100.9 |    -4.067 |   -0.9449 |    -2.382 |
+#> |.....................|    -4.056 |  -0.01106 |    0.8294 |   0.07816 |
+#> |.....................|    0.6807 |     3.234 |     1.558 |     1.594 |
+#> |.....................|     2.501 |     1.645 |...........|...........|
+#> |    X|     468.79133 |     100.9 |   0.01713 |    0.2799 |   0.09237 |
+#> |.....................|   0.01731 |    0.4972 |    0.8294 |   0.07816 |
+#> |.....................|    0.6807 |     3.234 |     1.558 |     1.594 |
+#> |.....................|     2.501 |     1.645 |...........|...........|
+#> |    F| Forward Diff. |    -7.226 |   -0.9038 |   -0.1166 |    0.1039 |
+#> |.....................|    0.2475 |  0.008246 |    -3.388 |    -1.948 |
+#> |.....................|   -0.2420 |    -1.872 |   -0.8620 |   -0.4291 |
+#> |.....................|   -0.7186 |   -0.4561 |...........|...........|
+#> |   84|     468.77848 |     1.011 |   -0.9668 |   -0.9446 |   -0.9492 |
+#> |.....................|   -0.9568 |   -0.9267 |   -0.6338 |   -0.5863 |
+#> |.....................|   -0.8997 |    0.1569 |   -0.6658 |   -0.5142 |
+#> |.....................|   -0.1992 |   -0.4695 |...........|...........|
+#> |    U|     468.77848 |     101.1 |    -4.067 |   -0.9450 |    -2.382 |
+#> |.....................|    -4.057 |  -0.01106 |    0.8298 |   0.07818 |
+#> |.....................|    0.6814 |     3.238 |     1.558 |     1.594 |
+#> |.....................|     2.502 |     1.645 |...........|...........|
+#> |    X|     468.77848 |     101.1 |   0.01713 |    0.2799 |   0.09238 |
+#> |.....................|   0.01730 |    0.4972 |    0.8298 |   0.07818 |
+#> |.....................|    0.6814 |     3.238 |     1.558 |     1.594 |
+#> |.....................|     2.502 |     1.645 |...........|...........|
+#> |    F| Forward Diff. |     2.503 |   -0.1762 |  0.005994 |   0.01651 |
+#> |.....................|   0.06327 |  0.007339 |    -4.407 |    -2.185 |
+#> |.....................|   -0.3133 |    -1.836 |   -0.8110 |   -0.4803 |
+#> |.....................|   -0.7946 |   -0.4665 |...........|...........|
+#> |   85|     468.76805 |     1.010 |   -0.9668 |   -0.9446 |   -0.9492 |
+#> |.....................|   -0.9569 |   -0.9267 |   -0.6312 |   -0.5853 |
+#> |.....................|   -0.8993 |    0.1583 |   -0.6657 |   -0.5139 |
+#> |.....................|   -0.1987 |   -0.4691 |...........|...........|
+#> |    U|     468.76805 |     101.0 |    -4.067 |   -0.9450 |    -2.382 |
+#> |.....................|    -4.057 |  -0.01106 |    0.8307 |   0.07821 |
+#> |.....................|    0.6816 |     3.240 |     1.558 |     1.594 |
+#> |.....................|     2.503 |     1.646 |...........|...........|
+#> |    X|     468.76805 |     101.0 |   0.01713 |    0.2799 |   0.09238 |
+#> |.....................|   0.01730 |    0.4972 |    0.8307 |   0.07821 |
+#> |.....................|    0.6816 |     3.240 |     1.558 |     1.594 |
+#> |.....................|     2.503 |     1.646 |...........|...........|
+#> |    F| Forward Diff. |    -5.980 |   -0.7098 |   -0.1045 |    0.1001 |
+#> |.....................|    0.1097 |  0.008007 |    -2.998 |    -1.799 |
+#> |.....................|   -0.2421 |    -1.902 |    -1.021 |   -0.4929 |
+#> |.....................|   -0.7234 |   -0.4545 |...........|...........|
+#> |   86|     468.76178 |     1.012 |   -0.9666 |   -0.9446 |   -0.9492 |
+#> |.....................|   -0.9569 |   -0.9268 |   -0.6296 |   -0.5849 |
+#> |.....................|   -0.8987 |    0.1602 |   -0.6657 |   -0.5136 |
+#> |.....................|   -0.1982 |   -0.4689 |...........|...........|
+#> |    U|     468.76178 |     101.2 |    -4.067 |   -0.9450 |    -2.382 |
+#> |.....................|    -4.057 |  -0.01106 |    0.8313 |   0.07822 |
+#> |.....................|    0.6820 |     3.243 |     1.558 |     1.595 |
+#> |.....................|     2.503 |     1.646 |...........|...........|
+#> |    X|     468.76178 |     101.2 |   0.01714 |    0.2799 |   0.09238 |
+#> |.....................|   0.01730 |    0.4972 |    0.8313 |   0.07822 |
+#> |.....................|    0.6820 |     3.243 |     1.558 |     1.595 |
+#> |.....................|     2.503 |     1.646 |...........|...........|
+#> |    F| Forward Diff. |     9.381 |    0.4945 |   0.08709 |  -0.04347 |
+#> |.....................|  -0.04178 |  0.006758 |    -3.785 |    -1.947 |
+#> |.....................|   -0.3007 |    -1.819 |   -0.8940 |   -0.4901 |
+#> |.....................|   -0.7836 |   -0.4662 |...........|...........|
+#> |   87|     468.74724 |     1.010 |   -0.9668 |   -0.9447 |   -0.9491 |
+#> |.....................|   -0.9570 |   -0.9268 |   -0.6284 |   -0.5849 |
+#> |.....................|   -0.8978 |    0.1628 |   -0.6658 |   -0.5134 |
+#> |.....................|   -0.1979 |   -0.4686 |...........|...........|
+#> |    U|     468.74724 |     101.0 |    -4.067 |   -0.9451 |    -2.382 |
+#> |.....................|    -4.057 |  -0.01106 |    0.8318 |   0.07822 |
+#> |.....................|    0.6827 |     3.247 |     1.558 |     1.595 |
+#> |.....................|     2.504 |     1.646 |...........|...........|
+#> |    X|     468.74724 |     101.0 |   0.01713 |    0.2799 |   0.09239 |
+#> |.....................|   0.01730 |    0.4972 |    0.8318 |   0.07822 |
+#> |.....................|    0.6827 |     3.247 |     1.558 |     1.595 |
+#> |.....................|     2.504 |     1.646 |...........|...........|
+#> |    F| Forward Diff. |    -1.251 |   -0.3146 |  -0.04610 |   0.05724 |
+#> |.....................|   0.02086 |  0.007590 |    -4.230 |    -2.098 |
+#> |.....................|   -0.3136 |    -1.833 |   -0.9365 |   -0.5244 |
+#> |.....................|   -0.7857 |   -0.4618 |...........|...........|
+#> |   88|     468.73570 |     1.011 |   -0.9666 |   -0.9446 |   -0.9492 |
+#> |.....................|   -0.9570 |   -0.9268 |   -0.6257 |   -0.5836 |
+#> |.....................|   -0.8976 |    0.1639 |   -0.6652 |   -0.5131 |
+#> |.....................|   -0.1974 |   -0.4683 |...........|...........|
+#> |    U|      468.7357 |     101.1 |    -4.067 |   -0.9450 |    -2.382 |
+#> |.....................|    -4.057 |  -0.01106 |    0.8327 |   0.07827 |
+#> |.....................|    0.6828 |     3.249 |     1.559 |     1.595 |
+#> |.....................|     2.504 |     1.647 |...........|...........|
+#> |    X|      468.7357 |     101.1 |   0.01714 |    0.2799 |   0.09238 |
+#> |.....................|   0.01730 |    0.4972 |    0.8327 |   0.07827 |
+#> |.....................|    0.6828 |     3.249 |     1.559 |     1.595 |
+#> |.....................|     2.504 |     1.647 |...........|...........|
+#> |    F| Forward Diff. |     4.473 |    0.2106 |   0.02342 |  0.003517 |
+#> |.....................|  -0.03354 |  0.007130 |    -3.431 |    -1.904 |
+#> |.....................|   -0.3114 |    -1.829 |   -0.9161 |   -0.5352 |
+#> |.....................|   -0.7806 |   -0.4641 |...........|...........|
+#> |   89|     468.73562 |     1.009 |   -0.9667 |   -0.9447 |   -0.9491 |
+#> |.....................|   -0.9570 |   -0.9268 |   -0.6239 |   -0.5826 |
+#> |.....................|   -0.8973 |    0.1651 |   -0.6648 |   -0.5128 |
+#> |.....................|   -0.1970 |   -0.4681 |...........|...........|
+#> |    U|     468.73562 |     100.9 |    -4.067 |   -0.9450 |    -2.382 |
+#> |.....................|    -4.057 |  -0.01106 |    0.8334 |   0.07830 |
+#> |.....................|    0.6830 |     3.251 |     1.559 |     1.596 |
+#> |.....................|     2.505 |     1.647 |...........|...........|
+#> |    X|     468.73562 |     100.9 |   0.01713 |    0.2799 |   0.09238 |
+#> |.....................|   0.01730 |    0.4972 |    0.8334 |   0.07830 |
+#> |.....................|    0.6830 |     3.251 |     1.559 |     1.596 |
+#> |.....................|     2.505 |     1.647 |...........|...........|
+#> |    C| Central Diff. |    -12.26 |    -1.176 |   -0.2138 |    0.1217 |
+#> |.....................|  -0.02157 |  0.008077 |    -2.776 |    -1.301 |
+#> |.....................|   -0.1367 |    -1.738 |   -0.7465 |   -0.4531 |
+#> |.....................|   -0.7359 |   -0.4611 |...........|...........|
+#> |   90|     468.72331 |     1.010 |   -0.9665 |   -0.9446 |   -0.9492 |
+#> |.....................|   -0.9570 |   -0.9268 |   -0.6235 |   -0.5825 |
+#> |.....................|   -0.8973 |    0.1654 |   -0.6647 |   -0.5127 |
+#> |.....................|   -0.1969 |   -0.4680 |...........|...........|
+#> |    U|     468.72331 |     101.0 |    -4.067 |   -0.9450 |    -2.382 |
+#> |.....................|    -4.057 |  -0.01106 |    0.8335 |   0.07831 |
+#> |.....................|    0.6830 |     3.251 |     1.559 |     1.596 |
+#> |.....................|     2.505 |     1.647 |...........|...........|
+#> |    X|     468.72331 |     101.0 |   0.01714 |    0.2799 |   0.09238 |
+#> |.....................|   0.01730 |    0.4972 |    0.8335 |   0.07831 |
+#> |.....................|    0.6830 |     3.251 |     1.559 |     1.596 |
+#> |.....................|     2.505 |     1.647 |...........|...........|
+#> |    F| Forward Diff. |   -0.3583 |  -0.08989 |  -0.03828 |   0.04946 |
+#> |.....................|  0.006154 |  0.007526 |    -3.405 |    -1.898 |
+#> |.....................|   -0.3214 |    -1.836 |   -0.8751 |   -0.5118 |
+#> |.....................|   -0.7778 |   -0.4622 |...........|...........|
+#> |   91|     468.71715 |     1.011 |   -0.9665 |   -0.9446 |   -0.9492 |
+#> |.....................|   -0.9570 |   -0.9268 |   -0.6223 |   -0.5817 |
+#> |.....................|   -0.8972 |    0.1661 |   -0.6643 |   -0.5125 |
+#> |.....................|   -0.1966 |   -0.4678 |...........|...........|
+#> |    U|     468.71715 |     101.1 |    -4.067 |   -0.9450 |    -2.382 |
+#> |.....................|    -4.057 |  -0.01106 |    0.8340 |   0.07833 |
+#> |.....................|    0.6831 |     3.252 |     1.560 |     1.596 |
+#> |.....................|     2.506 |     1.647 |...........|...........|
+#> |    X|     468.71715 |     101.1 |   0.01714 |    0.2799 |   0.09238 |
+#> |.....................|   0.01730 |    0.4972 |    0.8340 |   0.07833 |
+#> |.....................|    0.6831 |     3.252 |     1.560 |     1.596 |
+#> |.....................|     2.506 |     1.647 |...........|...........|
+#> |   92|     468.70862 |     1.011 |   -0.9665 |   -0.9446 |   -0.9492 |
+#> |.....................|   -0.9570 |   -0.9268 |   -0.6204 |   -0.5807 |
+#> |.....................|   -0.8970 |    0.1671 |   -0.6639 |   -0.5123 |
+#> |.....................|   -0.1962 |   -0.4676 |...........|...........|
+#> |    U|     468.70862 |     101.1 |    -4.066 |   -0.9450 |    -2.382 |
+#> |.....................|    -4.057 |  -0.01106 |    0.8347 |   0.07836 |
+#> |.....................|    0.6832 |     3.254 |     1.560 |     1.596 |
+#> |.....................|     2.506 |     1.648 |...........|...........|
+#> |    X|     468.70862 |     101.1 |   0.01714 |    0.2799 |   0.09238 |
+#> |.....................|   0.01730 |    0.4972 |    0.8347 |   0.07836 |
+#> |.....................|    0.6832 |     3.254 |     1.560 |     1.596 |
+#> |.....................|     2.506 |     1.648 |...........|...........|
+#> |   93|     468.69301 |     1.011 |   -0.9664 |   -0.9446 |   -0.9493 |
+#> |.....................|   -0.9570 |   -0.9268 |   -0.6166 |   -0.5786 |
+#> |.....................|   -0.8967 |    0.1691 |   -0.6629 |   -0.5117 |
+#> |.....................|   -0.1953 |   -0.4671 |...........|...........|
+#> |    U|     468.69301 |     101.1 |    -4.066 |   -0.9449 |    -2.382 |
+#> |.....................|    -4.057 |  -0.01106 |    0.8361 |   0.07843 |
+#> |.....................|    0.6834 |     3.257 |     1.562 |     1.597 |
+#> |.....................|     2.508 |     1.648 |...........|...........|
+#> |    X|     468.69301 |     101.1 |   0.01714 |    0.2799 |   0.09237 |
+#> |.....................|   0.01730 |    0.4972 |    0.8361 |   0.07843 |
+#> |.....................|    0.6834 |     3.257 |     1.562 |     1.597 |
+#> |.....................|     2.508 |     1.648 |...........|...........|
+#> |    F| Forward Diff. |     5.000 |    0.4463 |   0.03173 | -0.005614 |
+#> |.....................|  -0.04729 |  0.007073 |    -3.041 |    -1.513 |
+#> |.....................|   -0.3269 |    -1.766 |   -0.6347 |   -0.4208 |
+#> |.....................|   -0.7611 |   -0.4631 |...........|...........|
+#> |   94|     468.66018 |     1.011 |   -0.9666 |   -0.9442 |   -0.9484 |
+#> |.....................|   -0.9562 |   -0.9269 |   -0.6101 |   -0.5828 |
+#> |.....................|   -0.8947 |    0.1828 |   -0.6704 |   -0.5138 |
+#> |.....................|   -0.1918 |   -0.4639 |...........|...........|
+#> |    U|     468.66018 |     101.1 |    -4.067 |   -0.9446 |    -2.381 |
+#> |.....................|    -4.056 |  -0.01106 |    0.8385 |   0.07829 |
+#> |.....................|    0.6847 |     3.279 |     1.552 |     1.594 |
+#> |.....................|     2.513 |     1.652 |...........|...........|
+#> |    X|     468.66018 |     101.1 |   0.01714 |    0.2800 |   0.09245 |
+#> |.....................|   0.01731 |    0.4972 |    0.8385 |   0.07829 |
+#> |.....................|    0.6847 |     3.279 |     1.552 |     1.594 |
+#> |.....................|     2.513 |     1.652 |...........|...........|
+#> |   95|     468.61872 |     1.011 |   -0.9669 |   -0.9434 |   -0.9467 |
+#> |.....................|   -0.9547 |   -0.9271 |   -0.5984 |   -0.5914 |
+#> |.....................|   -0.8911 |    0.2086 |   -0.6849 |   -0.5181 |
+#> |.....................|   -0.1852 |   -0.4581 |...........|...........|
+#> |    U|     468.61872 |     101.1 |    -4.067 |   -0.9439 |    -2.379 |
+#> |.....................|    -4.055 |  -0.01106 |    0.8427 |   0.07801 |
+#> |.....................|    0.6872 |     3.320 |     1.534 |     1.589 |
+#> |.....................|     2.523 |     1.658 |...........|...........|
+#> |    X|     468.61872 |     101.1 |   0.01713 |    0.2801 |   0.09261 |
+#> |.....................|   0.01734 |    0.4972 |    0.8427 |   0.07801 |
+#> |.....................|    0.6872 |     3.320 |     1.534 |     1.589 |
+#> |.....................|     2.523 |     1.658 |...........|...........|
+#> |    F| Forward Diff. |     3.484 |    0.5384 |   0.08463 |   0.09865 |
+#> |.....................|    0.7055 |  0.007848 |    -2.909 |    -1.559 |
+#> |.....................|   -0.2162 |    -1.642 |    -1.728 |   -0.7121 |
+#> |.....................|   -0.5947 |   -0.3648 |...........|...........|
+#> |   96|     468.58548 |     1.008 |   -0.9690 |   -0.9515 |   -0.9524 |
+#> |.....................|   -0.9418 |   -0.9281 |   -0.5713 |   -0.6320 |
+#> |.....................|   -0.8823 |    0.2961 |   -0.6589 |   -0.5284 |
+#> |.....................|   -0.1884 |   -0.4503 |...........|...........|
+#> |    U|     468.58548 |     100.8 |    -4.069 |   -0.9515 |    -2.385 |
+#> |.....................|    -4.042 |  -0.01107 |    0.8526 |   0.07665 |
+#> |.....................|    0.6931 |     3.458 |     1.567 |     1.578 |
+#> |.....................|     2.518 |     1.667 |...........|...........|
+#> |    X|     468.58548 |     100.8 |   0.01709 |    0.2786 |   0.09208 |
+#> |.....................|   0.01757 |    0.4972 |    0.8526 |   0.07665 |
+#> |.....................|    0.6931 |     3.458 |     1.567 |     1.578 |
+#> |.....................|     2.518 |     1.667 |...........|...........|
+#> |    F| Forward Diff. |    -20.63 |    -1.258 |   -0.4941 |   -0.2790 |
+#> |.....................|     5.133 |   0.01399 |    -2.360 |    -3.936 |
+#> |.....................|  -0.04374 |    -1.146 |   -0.2901 |    -1.004 |
+#> |.....................|   -0.6864 |   -0.2503 |...........|...........|
+#> |   97|     468.42330 |     1.011 |   -0.9777 |   -0.9596 |   -0.9476 |
+#> |.....................|   -0.9583 |   -0.9295 |   -0.5827 |   -0.6211 |
+#> |.....................|   -0.8760 |    0.3979 |   -0.6632 |   -0.5247 |
+#> |.....................|   -0.1834 |   -0.4404 |...........|...........|
+#> |    U|      468.4233 |     101.1 |    -4.078 |   -0.9591 |    -2.380 |
+#> |.....................|    -4.058 |  -0.01109 |    0.8485 |   0.07701 |
+#> |.....................|    0.6974 |     3.619 |     1.561 |     1.582 |
+#> |.....................|     2.525 |     1.679 |...........|...........|
+#> |    X|      468.4233 |     101.1 |   0.01695 |    0.2771 |   0.09253 |
+#> |.....................|   0.01728 |    0.4972 |    0.8485 |   0.07701 |
+#> |.....................|    0.6974 |     3.619 |     1.561 |     1.582 |
+#> |.....................|     2.525 |     1.679 |...........|...........|
+#> |    F| Forward Diff. |    -2.203 |    -3.445 |   -0.3661 |   -0.1876 |
+#> |.....................|   -0.3413 |  0.004713 |    -2.617 |    -2.520 |
+#> |.....................|   0.09908 |   -0.8887 |   -0.1336 |   -0.9981 |
+#> |.....................|   -0.6593 |   -0.1712 |...........|...........|
+#> |   98|     468.44544 |     1.015 |   -0.9711 |   -0.9083 |   -0.9392 |
+#> |.....................|   -0.9571 |   -0.9308 |   -0.5728 |   -0.6140 |
+#> |.....................|   -0.9111 |    0.4459 |   -0.6774 |   -0.4582 |
+#> |.....................|   -0.1728 |   -0.4486 |...........|...........|
+#> |    U|     468.44544 |     101.5 |    -4.071 |   -0.9109 |    -2.372 |
+#> |.....................|    -4.057 |  -0.01110 |    0.8520 |   0.07725 |
+#> |.....................|    0.6737 |     3.695 |     1.543 |     1.658 |
+#> |.....................|     2.541 |     1.669 |...........|...........|
+#> |    X|     468.44544 |     101.5 |   0.01706 |    0.2868 |   0.09331 |
+#> |.....................|   0.01730 |    0.4972 |    0.8520 |   0.07725 |
+#> |.....................|    0.6737 |     3.695 |     1.543 |     1.658 |
+#> |.....................|     2.541 |     1.669 |...........|...........|
+#> |   99|     468.45245 |     1.016 |   -0.9696 |   -0.9377 |   -0.9438 |
+#> |.....................|   -0.9573 |   -0.9300 |   -0.5745 |   -0.6143 |
+#> |.....................|   -0.8908 |    0.4193 |   -0.6689 |   -0.4955 |
+#> |.....................|   -0.1780 |   -0.4435 |...........|...........|
+#> |    U|     468.45245 |     101.6 |    -4.070 |   -0.9385 |    -2.376 |
+#> |.....................|    -4.057 |  -0.01109 |    0.8514 |   0.07724 |
+#> |.....................|    0.6874 |     3.653 |     1.554 |     1.615 |
+#> |.....................|     2.533 |     1.675 |...........|...........|
+#> |    X|     468.45245 |     101.6 |   0.01708 |    0.2812 |   0.09288 |
+#> |.....................|   0.01730 |    0.4972 |    0.8514 |   0.07724 |
+#> |.....................|    0.6874 |     3.653 |     1.554 |     1.615 |
+#> |.....................|     2.533 |     1.675 |...........|...........|
+#> |  100|     468.50368 |     1.017 |   -0.9688 |   -0.9537 |   -0.9463 |
+#> |.....................|   -0.9573 |   -0.9296 |   -0.5755 |   -0.6144 |
+#> |.....................|   -0.8797 |    0.4047 |   -0.6643 |   -0.5158 |
+#> |.....................|   -0.1808 |   -0.4408 |...........|...........|
+#> |    U|     468.50368 |     101.7 |    -4.069 |   -0.9536 |    -2.379 |
+#> |.....................|    -4.057 |  -0.01109 |    0.8511 |   0.07724 |
+#> |.....................|    0.6949 |     3.630 |     1.560 |     1.592 |
+#> |.....................|     2.529 |     1.678 |...........|...........|
+#> |    X|     468.50368 |     101.7 |   0.01710 |    0.2782 |   0.09265 |
+#> |.....................|   0.01729 |    0.4972 |    0.8511 |   0.07724 |
+#> |.....................|    0.6949 |     3.630 |     1.560 |     1.592 |
+#> |.....................|     2.529 |     1.678 |...........|...........|
+#> |  101|     468.41664 |     1.014 |   -0.9744 |   -0.9593 |   -0.9474 |
+#> |.....................|   -0.9580 |   -0.9295 |   -0.5802 |   -0.6187 |
+#> |.....................|   -0.8761 |    0.3987 |   -0.6631 |   -0.5237 |
+#> |.....................|   -0.1828 |   -0.4402 |...........|...........|
+#> |    U|     468.41664 |     101.4 |    -4.074 |   -0.9588 |    -2.380 |
+#> |.....................|    -4.058 |  -0.01109 |    0.8494 |   0.07709 |
+#> |.....................|    0.6973 |     3.620 |     1.561 |     1.583 |
+#> |.....................|     2.526 |     1.679 |...........|...........|
+#> |    X|     468.41664 |     101.4 |   0.01700 |    0.2771 |   0.09254 |
+#> |.....................|   0.01728 |    0.4972 |    0.8494 |   0.07709 |
+#> |.....................|    0.6973 |     3.620 |     1.561 |     1.583 |
+#> |.....................|     2.526 |     1.679 |...........|...........|
+#> |    F| Forward Diff. |     15.72 |  -0.02243 |   -0.2559 |   -0.2642 |
+#> |.....................|   -0.4515 |  0.003975 |    -3.178 |    -2.839 |
+#> |.....................|  -0.02889 |   -0.8526 |   -0.3239 |    -1.069 |
+#> |.....................|   -0.6251 |   -0.1666 |...........|...........|
+#> |  102|     468.39161 |     1.011 |   -0.9744 |   -0.9571 |   -0.9468 |
+#> |.....................|   -0.9580 |   -0.9295 |   -0.5795 |   -0.6181 |
+#> |.....................|   -0.8777 |    0.4014 |   -0.6637 |   -0.5208 |
+#> |.....................|   -0.1824 |   -0.4404 |...........|...........|
+#> |    U|     468.39161 |     101.1 |    -4.074 |   -0.9567 |    -2.380 |
+#> |.....................|    -4.058 |  -0.01109 |    0.8496 |   0.07711 |
+#> |.....................|    0.6962 |     3.624 |     1.561 |     1.586 |
+#> |.....................|     2.527 |     1.679 |...........|...........|
+#> |    X|     468.39161 |     101.1 |   0.01700 |    0.2775 |   0.09260 |
+#> |.....................|   0.01728 |    0.4972 |    0.8496 |   0.07711 |
+#> |.....................|    0.6962 |     3.624 |     1.561 |     1.586 |
+#> |.....................|     2.527 |     1.679 |...........|...........|
+#> |    F| Forward Diff. |   -0.3129 |    -1.347 |   -0.3359 |  -0.08922 |
+#> |.....................|   -0.3284 |  0.005471 |    -2.643 |    -3.028 |
+#> |.....................|  -0.08821 |   -0.8778 |   -0.3083 |   -0.9349 |
+#> |.....................|   -0.6501 |   -0.1781 |...........|...........|
+#> |  103|     468.37315 |     1.012 |   -0.9728 |   -0.9567 |   -0.9467 |
+#> |.....................|   -0.9576 |   -0.9295 |   -0.5763 |   -0.6144 |
+#> |.....................|   -0.8776 |    0.4024 |   -0.6633 |   -0.5197 |
+#> |.....................|   -0.1816 |   -0.4402 |...........|...........|
+#> |    U|     468.37315 |     101.2 |    -4.073 |   -0.9564 |    -2.379 |
+#> |.....................|    -4.058 |  -0.01109 |    0.8508 |   0.07724 |
+#> |.....................|    0.6963 |     3.626 |     1.561 |     1.588 |
+#> |.....................|     2.528 |     1.679 |...........|...........|
+#> |    X|     468.37315 |     101.2 |   0.01703 |    0.2776 |   0.09261 |
+#> |.....................|   0.01729 |    0.4972 |    0.8508 |   0.07724 |
+#> |.....................|    0.6963 |     3.626 |     1.561 |     1.588 |
+#> |.....................|     2.528 |     1.679 |...........|...........|
+#> |    F| Forward Diff. |     3.643 |  -0.05906 |   -0.3284 |  -0.08464 |
+#> |.....................|   -0.2659 |  0.005628 |    -2.441 |    -2.741 |
+#> |.....................|   -0.1033 |   -0.8597 |   -0.2783 |   -0.9091 |
+#> |.....................|   -0.6423 |   -0.1835 |...........|...........|
+#> |  104|     468.35774 |     1.011 |   -0.9727 |   -0.9524 |   -0.9471 |
+#> |.....................|   -0.9577 |   -0.9297 |   -0.5762 |   -0.6128 |
+#> |.....................|   -0.8791 |    0.4096 |   -0.6644 |   -0.5136 |
+#> |.....................|   -0.1797 |   -0.4410 |...........|...........|
+#> |    U|     468.35774 |     101.1 |    -4.073 |   -0.9523 |    -2.380 |
+#> |.....................|    -4.058 |  -0.01109 |    0.8508 |   0.07729 |
+#> |.....................|    0.6953 |     3.637 |     1.560 |     1.595 |
+#> |.....................|     2.531 |     1.678 |...........|...........|
+#> |    X|     468.35774 |     101.1 |   0.01703 |    0.2784 |   0.09257 |
+#> |.....................|   0.01729 |    0.4972 |    0.8508 |   0.07729 |
+#> |.....................|    0.6953 |     3.637 |     1.560 |     1.595 |
+#> |.....................|     2.531 |     1.678 |...........|...........|
+#> |    F| Forward Diff. |    -4.235 |   -0.7549 |   -0.2072 |  -0.03117 |
+#> |.....................|   -0.2512 |  0.006470 |    -2.488 |    -2.805 |
+#> |.....................|   -0.1485 |   -0.7903 |   -0.1532 |   -0.6368 |
+#> |.....................|   -0.5813 |   -0.1871 |...........|...........|
+#> |  105|     468.34230 |     1.012 |   -0.9728 |   -0.9537 |   -0.9473 |
+#> |.....................|   -0.9580 |   -0.9300 |   -0.5748 |   -0.6111 |
+#> |.....................|   -0.8817 |    0.4177 |   -0.6661 |   -0.5086 |
+#> |.....................|   -0.1765 |   -0.4413 |...........|...........|
+#> |    U|      468.3423 |     101.2 |    -4.073 |   -0.9535 |    -2.380 |
+#> |.....................|    -4.058 |  -0.01109 |    0.8513 |   0.07735 |
+#> |.....................|    0.6935 |     3.650 |     1.558 |     1.600 |
+#> |.....................|     2.535 |     1.678 |...........|...........|
+#> |    X|      468.3423 |     101.2 |   0.01703 |    0.2782 |   0.09256 |
+#> |.....................|   0.01728 |    0.4972 |    0.8513 |   0.07735 |
+#> |.....................|    0.6935 |     3.650 |     1.558 |     1.600 |
+#> |.....................|     2.535 |     1.678 |...........|...........|
+#> |    F| Forward Diff. |     5.528 |    0.1613 |   -0.1518 |   -0.1427 |
+#> |.....................|   -0.4211 |  0.005662 |    -2.339 |    -2.549 |
+#> |.....................|   -0.1833 |   -0.8387 |   -0.3838 |   -0.5791 |
+#> |.....................|   -0.5586 |   -0.2081 |...........|...........|
+#> |  106|     468.32828 |     1.011 |   -0.9730 |   -0.9582 |   -0.9446 |
+#> |.....................|   -0.9579 |   -0.9303 |   -0.5739 |   -0.6081 |
+#> |.....................|   -0.8827 |    0.4247 |   -0.6653 |   -0.5110 |
+#> |.....................|   -0.1721 |   -0.4394 |...........|...........|
+#> |    U|     468.32828 |     101.1 |    -4.073 |   -0.9578 |    -2.377 |
+#> |.....................|    -4.058 |  -0.01110 |    0.8517 |   0.07745 |
+#> |.....................|    0.6929 |     3.661 |     1.559 |     1.598 |
+#> |.....................|     2.542 |     1.680 |...........|...........|
+#> |    X|     468.32828 |     101.1 |   0.01703 |    0.2773 |   0.09281 |
+#> |.....................|   0.01729 |    0.4972 |    0.8517 |   0.07745 |
+#> |.....................|    0.6929 |     3.661 |     1.559 |     1.598 |
+#> |.....................|     2.542 |     1.680 |...........|...........|
+#> |    F| Forward Diff. |    -1.625 |   -0.2716 |   -0.4478 |   0.07059 |
+#> |.....................|   -0.3746 |  0.006164 |    -2.097 |    -1.611 |
+#> |.....................|  -0.05708 |   -0.8042 |   -0.2658 |   -0.6338 |
+#> |.....................|   -0.5023 |   -0.1867 |...........|...........|
+#> |  107|     468.31633 |     1.012 |   -0.9727 |   -0.9524 |   -0.9447 |
+#> |.....................|   -0.9580 |   -0.9305 |   -0.5707 |   -0.6067 |
+#> |.....................|   -0.8839 |    0.4327 |   -0.6650 |   -0.5105 |
+#> |.....................|   -0.1703 |   -0.4382 |...........|...........|
+#> |    U|     468.31633 |     101.2 |    -4.073 |   -0.9523 |    -2.377 |
+#> |.....................|    -4.058 |  -0.01110 |    0.8528 |   0.07749 |
+#> |.....................|    0.6921 |     3.674 |     1.559 |     1.598 |
+#> |.....................|     2.545 |     1.681 |...........|...........|
+#> |    X|     468.31633 |     101.2 |   0.01703 |    0.2784 |   0.09280 |
+#> |.....................|   0.01728 |    0.4972 |    0.8528 |   0.07749 |
+#> |.....................|    0.6921 |     3.674 |     1.559 |     1.598 |
+#> |.....................|     2.545 |     1.681 |...........|...........|
+#> |    F| Forward Diff. |     8.853 |    0.6395 |  -0.04718 |  -0.01095 |
+#> |.....................|   -0.5142 |  0.005281 |    -1.984 |    -1.469 |
+#> |.....................|  -0.06825 |   -0.7616 |   -0.1275 |   -0.5767 |
+#> |.....................|   -0.4529 |   -0.1729 |...........|...........|
+#> |  108|     468.30195 |     1.011 |   -0.9730 |   -0.9497 |   -0.9482 |
+#> |.....................|   -0.9586 |   -0.9308 |   -0.5675 |   -0.6075 |
+#> |.....................|   -0.8868 |    0.4402 |   -0.6670 |   -0.5066 |
+#> |.....................|   -0.1704 |   -0.4381 |...........|...........|
+#> |    U|     468.30195 |     101.1 |    -4.073 |   -0.9498 |    -2.381 |
+#> |.....................|    -4.059 |  -0.01110 |    0.8540 |   0.07747 |
+#> |.....................|    0.6901 |     3.686 |     1.556 |     1.603 |
+#> |.....................|     2.544 |     1.681 |...........|...........|
+#> |    X|     468.30195 |     101.1 |   0.01703 |    0.2789 |   0.09247 |
+#> |.....................|   0.01727 |    0.4972 |    0.8540 |   0.07747 |
+#> |.....................|    0.6901 |     3.686 |     1.556 |     1.603 |
+#> |.....................|     2.544 |     1.681 |...........|...........|
+#> |    F| Forward Diff. |    -1.407 |   -0.4624 |  -0.02880 |   -0.1214 |
+#> |.....................|   -0.5499 |  0.005628 |    -1.325 |    -1.518 |
+#> |.....................|   -0.1161 |   -0.7707 |   -0.3300 |   -0.4912 |
+#> |.....................|   -0.4772 |   -0.1931 |...........|...........|
+#> |  109|     468.29210 |     1.012 |   -0.9733 |   -0.9523 |   -0.9459 |
+#> |.....................|   -0.9581 |   -0.9311 |   -0.5658 |   -0.6073 |
+#> |.....................|   -0.8878 |    0.4488 |   -0.6682 |   -0.5015 |
+#> |.....................|   -0.1697 |   -0.4385 |...........|...........|
+#> |    U|      468.2921 |     101.2 |    -4.073 |   -0.9523 |    -2.379 |
+#> |.....................|    -4.058 |  -0.01111 |    0.8546 |   0.07747 |
+#> |.....................|    0.6894 |     3.699 |     1.555 |     1.608 |
+#> |.....................|     2.546 |     1.681 |...........|...........|
+#> |    X|      468.2921 |     101.2 |   0.01702 |    0.2784 |   0.09269 |
+#> |.....................|   0.01728 |    0.4972 |    0.8546 |   0.07747 |
+#> |.....................|    0.6894 |     3.699 |     1.555 |     1.608 |
+#> |.....................|     2.546 |     1.681 |...........|...........|
+#> |  110|     468.28540 |     1.012 |   -0.9739 |   -0.9554 |   -0.9432 |
+#> |.....................|   -0.9581 |   -0.9314 |   -0.5648 |   -0.6081 |
+#> |.....................|   -0.8889 |    0.4579 |   -0.6697 |   -0.4962 |
+#> |.....................|   -0.1692 |   -0.4390 |...........|...........|
+#> |    U|      468.2854 |     101.2 |    -4.074 |   -0.9551 |    -2.376 |
+#> |.....................|    -4.058 |  -0.01111 |    0.8550 |   0.07745 |
+#> |.....................|    0.6886 |     3.714 |     1.553 |     1.615 |
+#> |.....................|     2.546 |     1.680 |...........|...........|
+#> |    X|      468.2854 |     101.2 |   0.01701 |    0.2779 |   0.09293 |
+#> |.....................|   0.01728 |    0.4972 |    0.8550 |   0.07745 |
+#> |.....................|    0.6886 |     3.714 |     1.553 |     1.615 |
+#> |.....................|     2.546 |     1.680 |...........|...........|
+#> |    F| Forward Diff. |     3.644 |   0.03668 |   -0.1986 |   0.05251 |
+#> |.....................|   -0.5265 |  0.006364 |    -2.013 |    -2.999 |
+#> |.....................|   -0.3077 |   -0.7577 |   -0.4283 |   -0.2217 |
+#> |.....................|   -0.4457 |   -0.1968 |...........|...........|
+#> |  111|     468.26285 |     1.012 |   -0.9738 |   -0.9546 |   -0.9455 |
+#> |.....................|   -0.9580 |   -0.9321 |   -0.5638 |   -0.6053 |
+#> |.....................|   -0.8894 |    0.4796 |   -0.6701 |   -0.4937 |
+#> |.....................|   -0.1665 |   -0.4375 |...........|...........|
+#> |    U|     468.26285 |     101.2 |    -4.074 |   -0.9544 |    -2.378 |
+#> |.....................|    -4.058 |  -0.01112 |    0.8554 |   0.07754 |
+#> |.....................|    0.6883 |     3.748 |     1.552 |     1.617 |
+#> |.....................|     2.550 |     1.682 |...........|...........|
+#> |    X|     468.26285 |     101.2 |   0.01701 |    0.2780 |   0.09272 |
+#> |.....................|   0.01728 |    0.4972 |    0.8554 |   0.07754 |
+#> |.....................|    0.6883 |     3.748 |     1.552 |     1.617 |
+#> |.....................|     2.550 |     1.682 |...........|...........|
+#> |  112|     468.24808 |     1.012 |   -0.9737 |   -0.9538 |   -0.9478 |
+#> |.....................|   -0.9581 |   -0.9328 |   -0.5632 |   -0.6032 |
+#> |.....................|   -0.8900 |    0.5018 |   -0.6707 |   -0.4913 |
+#> |.....................|   -0.1639 |   -0.4361 |...........|...........|
+#> |    U|     468.24808 |     101.2 |    -4.074 |   -0.9537 |    -2.380 |
+#> |.....................|    -4.058 |  -0.01113 |    0.8556 |   0.07761 |
+#> |.....................|    0.6879 |     3.783 |     1.552 |     1.620 |
+#> |.....................|     2.554 |     1.684 |...........|...........|
+#> |    X|     468.24808 |     101.2 |   0.01701 |    0.2781 |   0.09251 |
+#> |.....................|   0.01728 |    0.4972 |    0.8556 |   0.07761 |
+#> |.....................|    0.6879 |     3.783 |     1.552 |     1.620 |
+#> |.....................|     2.554 |     1.684 |...........|...........|
+#> |    F| Forward Diff. |     7.572 |    0.7442 |   -0.1004 |   -0.2485 |
+#> |.....................|   -0.5511 |  0.005645 |    -1.896 |    -1.976 |
+#> |.....................|   -0.3421 |   -0.6164 |   -0.3384 |   -0.1002 |
+#> |.....................|   -0.3637 |   -0.1858 |...........|...........|
+#> |  113|     468.24925 |     1.009 |   -0.9744 |   -0.9459 |   -0.9275 |
+#> |.....................|   -0.9570 |   -0.9342 |   -0.5606 |   -0.6003 |
+#> |.....................|   -0.8814 |    0.5390 |   -0.6664 |   -0.4916 |
+#> |.....................|   -0.1575 |   -0.4319 |...........|...........|
+#> |    U|     468.24925 |     100.9 |    -4.074 |   -0.9463 |    -2.360 |
+#> |.....................|    -4.057 |  -0.01114 |    0.8565 |   0.07771 |
+#> |.....................|    0.6937 |     3.842 |     1.557 |     1.620 |
+#> |.....................|     2.563 |     1.689 |...........|...........|
+#> |    X|     468.24925 |     100.9 |   0.01700 |    0.2796 |   0.09441 |
+#> |.....................|   0.01730 |    0.4972 |    0.8565 |   0.07771 |
+#> |.....................|    0.6937 |     3.842 |     1.557 |     1.620 |
+#> |.....................|     2.563 |     1.689 |...........|...........|
+#> |  114|     468.25666 |     1.009 |   -0.9742 |   -0.9500 |   -0.9379 |
+#> |.....................|   -0.9574 |   -0.9335 |   -0.5615 |   -0.6013 |
+#> |.....................|   -0.8858 |    0.5198 |   -0.6685 |   -0.4914 |
+#> |.....................|   -0.1608 |   -0.4340 |...........|...........|
+#> |    U|     468.25666 |     100.9 |    -4.074 |   -0.9501 |    -2.371 |
+#> |.....................|    -4.057 |  -0.01113 |    0.8562 |   0.07768 |
+#> |.....................|    0.6908 |     3.812 |     1.554 |     1.620 |
+#> |.....................|     2.559 |     1.686 |...........|...........|
+#> |    X|     468.25666 |     100.9 |   0.01701 |    0.2789 |   0.09342 |
+#> |.....................|   0.01729 |    0.4972 |    0.8562 |   0.07768 |
+#> |.....................|    0.6908 |     3.812 |     1.554 |     1.620 |
+#> |.....................|     2.559 |     1.686 |...........|...........|
+#> |  115|     468.26483 |     1.009 |   -0.9741 |   -0.9524 |   -0.9439 |
+#> |.....................|   -0.9577 |   -0.9331 |   -0.5620 |   -0.6018 |
+#> |.....................|   -0.8883 |    0.5089 |   -0.6697 |   -0.4913 |
+#> |.....................|   -0.1626 |   -0.4352 |...........|...........|
+#> |    U|     468.26483 |     100.9 |    -4.074 |   -0.9523 |    -2.377 |
+#> |.....................|    -4.058 |  -0.01113 |    0.8560 |   0.07766 |
+#> |.....................|    0.6891 |     3.794 |     1.553 |     1.620 |
+#> |.....................|     2.556 |     1.685 |...........|...........|
+#> |    X|     468.26483 |     100.9 |   0.01701 |    0.2784 |   0.09287 |
+#> |.....................|   0.01729 |    0.4972 |    0.8560 |   0.07766 |
+#> |.....................|    0.6891 |     3.794 |     1.553 |     1.620 |
+#> |.....................|     2.556 |     1.685 |...........|...........|
+#> |  116|     468.25961 |     1.009 |   -0.9740 |   -0.9538 |   -0.9477 |
+#> |.....................|   -0.9579 |   -0.9328 |   -0.5624 |   -0.6023 |
+#> |.....................|   -0.8898 |    0.5020 |   -0.6705 |   -0.4913 |
+#> |.....................|   -0.1637 |   -0.4360 |...........|...........|
+#> |    U|     468.25961 |     100.9 |    -4.074 |   -0.9536 |    -2.380 |
+#> |.....................|    -4.058 |  -0.01113 |    0.8558 |   0.07764 |
+#> |.....................|    0.6880 |     3.783 |     1.552 |     1.620 |
+#> |.....................|     2.554 |     1.684 |...........|...........|
+#> |    X|     468.25961 |     100.9 |   0.01701 |    0.2782 |   0.09252 |
+#> |.....................|   0.01729 |    0.4972 |    0.8558 |   0.07764 |
+#> |.....................|    0.6880 |     3.783 |     1.552 |     1.620 |
+#> |.....................|     2.554 |     1.684 |...........|...........|
+#> |  117|     468.24351 |     1.011 |   -0.9738 |   -0.9538 |   -0.9477 |
+#> |.....................|   -0.9580 |   -0.9328 |   -0.5629 |   -0.6029 |
+#> |.....................|   -0.8899 |    0.5019 |   -0.6706 |   -0.4913 |
+#> |.....................|   -0.1638 |   -0.4360 |...........|...........|
+#> |    U|     468.24351 |     101.1 |    -4.074 |   -0.9537 |    -2.380 |
+#> |.....................|    -4.058 |  -0.01113 |    0.8557 |   0.07762 |
+#> |.....................|    0.6880 |     3.783 |     1.552 |     1.620 |
+#> |.....................|     2.554 |     1.684 |...........|...........|
+#> |    X|     468.24351 |     101.1 |   0.01701 |    0.2781 |   0.09252 |
+#> |.....................|   0.01728 |    0.4972 |    0.8557 |   0.07762 |
+#> |.....................|    0.6880 |     3.783 |     1.552 |     1.620 |
+#> |.....................|     2.554 |     1.684 |...........|...........|
+#> |    F| Forward Diff. |   -0.7570 |  -0.04882 |   -0.1901 |   -0.1704 |
+#> |.....................|   -0.4436 |  0.006358 |    -1.944 |    -2.069 |
+#> |.....................|   -0.3547 |   -0.6277 |   -0.2411 |  -0.07768 |
+#> |.....................|   -0.3909 |   -0.1932 |...........|...........|
+#> |  118|     468.24096 |     1.012 |   -0.9738 |   -0.9538 |   -0.9477 |
+#> |.....................|   -0.9579 |   -0.9328 |   -0.5622 |   -0.6021 |
+#> |.....................|   -0.8898 |    0.5021 |   -0.6705 |   -0.4913 |
+#> |.....................|   -0.1637 |   -0.4360 |...........|...........|
+#> |    U|     468.24096 |     101.2 |    -4.074 |   -0.9536 |    -2.380 |
+#> |.....................|    -4.058 |  -0.01113 |    0.8559 |   0.07765 |
+#> |.....................|    0.6881 |     3.784 |     1.552 |     1.620 |
+#> |.....................|     2.554 |     1.684 |...........|...........|
+#> |    X|     468.24096 |     101.2 |   0.01701 |    0.2782 |   0.09252 |
+#> |.....................|   0.01729 |    0.4972 |    0.8559 |   0.07765 |
+#> |.....................|    0.6881 |     3.784 |     1.552 |     1.620 |
+#> |.....................|     2.554 |     1.684 |...........|...........|
+#> |    F| Forward Diff. |     1.456 |    0.1549 |   -0.1619 |   -0.1892 |
+#> |.....................|   -0.4078 |  0.006267 |    -1.860 |    -2.735 |
+#> |.....................|   -0.3543 |   -0.6265 |   -0.1851 |  -0.08656 |
+#> |.....................|   -0.3612 |   -0.1856 |...........|...........|
+#> |  119|     468.23716 |     1.012 |   -0.9738 |   -0.9536 |   -0.9467 |
+#> |.....................|   -0.9576 |   -0.9329 |   -0.5614 |   -0.6008 |
+#> |.....................|   -0.8898 |    0.5037 |   -0.6704 |   -0.4911 |
+#> |.....................|   -0.1638 |   -0.4357 |...........|...........|
+#> |    U|     468.23716 |     101.2 |    -4.074 |   -0.9534 |    -2.379 |
+#> |.....................|    -4.058 |  -0.01113 |    0.8562 |   0.07769 |
+#> |.....................|    0.6881 |     3.786 |     1.552 |     1.620 |
+#> |.....................|     2.554 |     1.684 |...........|...........|
+#> |    X|     468.23716 |     101.2 |   0.01701 |    0.2782 |   0.09261 |
+#> |.....................|   0.01729 |    0.4972 |    0.8562 |   0.07769 |
+#> |.....................|    0.6881 |     3.786 |     1.552 |     1.620 |
+#> |.....................|     2.554 |     1.684 |...........|...........|
+#> |    F| Forward Diff. |     2.250 |    0.2329 |   -0.1405 |   -0.1467 |
+#> |.....................|   -0.3393 |  0.006453 |    -1.023 |    -1.889 |
+#> |.....................|   -0.3583 |   -0.6239 |   -0.2353 |  -0.09107 |
+#> |.....................|   -0.3636 |   -0.1837 |...........|...........|
+#> |  120|     468.26529 |     1.008 |   -0.9742 |   -0.9534 |   -0.9465 |
+#> |.....................|   -0.9571 |   -0.9329 |   -0.5599 |   -0.5980 |
+#> |.....................|   -0.8893 |    0.5046 |   -0.6700 |   -0.4910 |
+#> |.....................|   -0.1633 |   -0.4354 |...........|...........|
+#> |    U|     468.26529 |     100.8 |    -4.074 |   -0.9532 |    -2.379 |
+#> |.....................|    -4.057 |  -0.01113 |    0.8568 |   0.07778 |
+#> |.....................|    0.6884 |     3.788 |     1.553 |     1.621 |
+#> |.....................|     2.555 |     1.685 |...........|...........|
+#> |    X|     468.26529 |     100.8 |   0.01701 |    0.2782 |   0.09263 |
+#> |.....................|   0.01730 |    0.4972 |    0.8568 |   0.07778 |
+#> |.....................|    0.6884 |     3.788 |     1.553 |     1.621 |
+#> |.....................|     2.555 |     1.685 |...........|...........|
+#> |  121|     468.23604 |     1.011 |   -0.9739 |   -0.9535 |   -0.9467 |
+#> |.....................|   -0.9575 |   -0.9329 |   -0.5612 |   -0.6003 |
+#> |.....................|   -0.8897 |    0.5039 |   -0.6703 |   -0.4911 |
+#> |.....................|   -0.1637 |   -0.4357 |...........|...........|
+#> |    U|     468.23604 |     101.1 |    -4.074 |   -0.9534 |    -2.379 |
+#> |.....................|    -4.058 |  -0.01113 |    0.8563 |   0.07771 |
+#> |.....................|    0.6881 |     3.786 |     1.552 |     1.620 |
+#> |.....................|     2.554 |     1.684 |...........|...........|
+#> |    X|     468.23604 |     101.1 |   0.01701 |    0.2782 |   0.09261 |
+#> |.....................|   0.01729 |    0.4972 |    0.8563 |   0.07771 |
+#> |.....................|    0.6881 |     3.786 |     1.552 |     1.620 |
+#> |.....................|     2.554 |     1.684 |...........|...........|
+#> |    F| Forward Diff. |    -2.188 |   -0.1927 |   -0.1868 |   -0.1045 |
+#> |.....................|   -0.2665 |  0.006857 |    -1.024 |    -1.172 |
+#> |.....................|   -0.2153 |   -0.6125 |   -0.1502 |  -0.07921 |
+#> |.....................|   -0.3902 |   -0.1918 |...........|...........|
+#> |  122|     468.23464 |     1.012 |   -0.9738 |   -0.9534 |   -0.9465 |
+#> |.....................|   -0.9574 |   -0.9329 |   -0.5609 |   -0.6000 |
+#> |.....................|   -0.8895 |    0.5043 |   -0.6702 |   -0.4911 |
+#> |.....................|   -0.1635 |   -0.4356 |...........|...........|
+#> |    U|     468.23464 |     101.2 |    -4.074 |   -0.9533 |    -2.379 |
+#> |.....................|    -4.057 |  -0.01113 |    0.8564 |   0.07772 |
+#> |.....................|    0.6883 |     3.787 |     1.552 |     1.620 |
+#> |.....................|     2.555 |     1.684 |...........|...........|
+#> |    X|     468.23464 |     101.2 |   0.01701 |    0.2782 |   0.09263 |
+#> |.....................|   0.01729 |    0.4972 |    0.8564 |   0.07772 |
+#> |.....................|    0.6883 |     3.787 |     1.552 |     1.620 |
+#> |.....................|     2.555 |     1.684 |...........|...........|
+#> |    F| Forward Diff. |     1.857 |    0.1925 |   -0.1360 |   -0.1332 |
+#> |.....................|   -0.2859 |  0.006578 |   -0.9819 |    -1.076 |
+#> |.....................|   -0.2136 |   -0.6087 |   -0.2154 |  -0.09459 |
+#> |.....................|   -0.3609 |   -0.1836 |...........|...........|
+#> |  123|     468.23346 |     1.011 |   -0.9739 |   -0.9532 |   -0.9463 |
+#> |.....................|   -0.9574 |   -0.9329 |   -0.5607 |   -0.5998 |
+#> |.....................|   -0.8893 |    0.5049 |   -0.6701 |   -0.4911 |
+#> |.....................|   -0.1633 |   -0.4355 |...........|...........|
+#> |    U|     468.23346 |     101.1 |    -4.074 |   -0.9531 |    -2.379 |
+#> |.....................|    -4.057 |  -0.01113 |    0.8565 |   0.07772 |
+#> |.....................|    0.6884 |     3.788 |     1.552 |     1.621 |
+#> |.....................|     2.555 |     1.684 |...........|...........|
+#> |    X|     468.23346 |     101.1 |   0.01701 |    0.2783 |   0.09265 |
+#> |.....................|   0.01729 |    0.4972 |    0.8565 |   0.07772 |
+#> |.....................|    0.6884 |     3.788 |     1.552 |     1.621 |
+#> |.....................|     2.555 |     1.684 |...........|...........|
+#> |    F| Forward Diff. |    -1.112 |  -0.08635 |   -0.1600 |  -0.09176 |
+#> |.....................|   -0.2402 |  0.006873 |   -0.9941 |    -1.084 |
+#> |.....................|   -0.2133 |   -0.6080 |   -0.2006 |  -0.08423 |
+#> |.....................|   -0.3853 |   -0.1906 |...........|...........|
+#> |  124|     468.23209 |     1.012 |   -0.9738 |   -0.9531 |   -0.9461 |
+#> |.....................|   -0.9573 |   -0.9329 |   -0.5604 |   -0.5995 |
+#> |.....................|   -0.8891 |    0.5054 |   -0.6700 |   -0.4910 |
+#> |.....................|   -0.1631 |   -0.4354 |...........|...........|
+#> |    U|     468.23209 |     101.2 |    -4.074 |   -0.9530 |    -2.379 |
+#> |.....................|    -4.057 |  -0.01113 |    0.8566 |   0.07774 |
+#> |.....................|    0.6885 |     3.789 |     1.553 |     1.621 |
+#> |.....................|     2.555 |     1.685 |...........|...........|
+#> |    X|     468.23209 |     101.2 |   0.01701 |    0.2783 |   0.09266 |
+#> |.....................|   0.01730 |    0.4972 |    0.8566 |   0.07774 |
+#> |.....................|    0.6885 |     3.789 |     1.553 |     1.621 |
+#> |.....................|     2.555 |     1.685 |...........|...........|
+#> |  125|     468.23061 |     1.012 |   -0.9738 |   -0.9526 |   -0.9453 |
+#> |.....................|   -0.9573 |   -0.9330 |   -0.5604 |   -0.5995 |
+#> |.....................|   -0.8885 |    0.5071 |   -0.6698 |   -0.4911 |
+#> |.....................|   -0.1626 |   -0.4353 |...........|...........|
+#> |    U|     468.23061 |     101.2 |    -4.074 |   -0.9525 |    -2.378 |
+#> |.....................|    -4.057 |  -0.01113 |    0.8566 |   0.07773 |
+#> |.....................|    0.6889 |     3.791 |     1.553 |     1.620 |
+#> |.....................|     2.556 |     1.685 |...........|...........|
+#> |    X|     468.23061 |     101.2 |   0.01701 |    0.2784 |   0.09274 |
+#> |.....................|   0.01730 |    0.4972 |    0.8566 |   0.07773 |
+#> |.....................|    0.6889 |     3.791 |     1.553 |     1.620 |
+#> |.....................|     2.556 |     1.685 |...........|...........|
+#> |  126|     468.22552 |     1.012 |   -0.9738 |   -0.9506 |   -0.9419 |
+#> |.....................|   -0.9573 |   -0.9333 |   -0.5606 |   -0.5998 |
+#> |.....................|   -0.8861 |    0.5138 |   -0.6689 |   -0.4912 |
+#> |.....................|   -0.1606 |   -0.4347 |...........|...........|
+#> |    U|     468.22552 |     101.2 |    -4.074 |   -0.9506 |    -2.375 |
+#> |.....................|    -4.057 |  -0.01113 |    0.8565 |   0.07773 |
+#> |.....................|    0.6906 |     3.802 |     1.554 |     1.620 |
+#> |.....................|     2.559 |     1.685 |...........|...........|
+#> |    X|     468.22552 |     101.2 |   0.01701 |    0.2788 |   0.09305 |
+#> |.....................|   0.01730 |    0.4972 |    0.8565 |   0.07773 |
+#> |.....................|    0.6906 |     3.802 |     1.554 |     1.620 |
+#> |.....................|     2.559 |     1.685 |...........|...........|
+#> |  127|     468.21689 |     1.012 |   -0.9737 |   -0.9426 |   -0.9286 |
+#> |.....................|   -0.9574 |   -0.9344 |   -0.5614 |   -0.6009 |
+#> |.....................|   -0.8763 |    0.5405 |   -0.6653 |   -0.4919 |
+#> |.....................|   -0.1525 |   -0.4325 |...........|...........|
+#> |    U|     468.21689 |     101.2 |    -4.074 |   -0.9431 |    -2.361 |
+#> |.....................|    -4.057 |  -0.01114 |    0.8562 |   0.07769 |
+#> |.....................|    0.6972 |     3.844 |     1.558 |     1.620 |
+#> |.....................|     2.571 |     1.688 |...........|...........|
+#> |    X|     468.21689 |     101.2 |   0.01701 |    0.2803 |   0.09430 |
+#> |.....................|   0.01729 |    0.4972 |    0.8562 |   0.07769 |
+#> |.....................|    0.6972 |     3.844 |     1.558 |     1.620 |
+#> |.....................|     2.571 |     1.688 |...........|...........|
+#> |    F| Forward Diff. |     1.525 |    0.5842 |    0.4183 |    0.9468 |
+#> |.....................|   -0.5439 |  0.008618 |    -1.874 |    -1.936 |
+#> |.....................|   -0.2463 |   -0.5498 |   0.04440 |   -0.1490 |
+#> |.....................|   -0.2038 |   -0.1015 |...........|...........|
+#> |  128|     468.19158 |     1.011 |   -0.9737 |   -0.9504 |   -0.9293 |
+#> |.....................|   -0.9577 |   -0.9362 |   -0.5600 |   -0.6009 |
+#> |.....................|   -0.8523 |    0.5756 |   -0.6644 |   -0.4878 |
+#> |.....................|   -0.1417 |   -0.4298 |...........|...........|
+#> |    U|     468.19158 |     101.1 |    -4.074 |   -0.9504 |    -2.362 |
+#> |.....................|    -4.058 |  -0.01116 |    0.8567 |   0.07769 |
+#> |.....................|    0.7134 |     3.900 |     1.560 |     1.624 |
+#> |.....................|     2.587 |     1.691 |...........|...........|
+#> |    X|     468.19158 |     101.1 |   0.01701 |    0.2788 |   0.09423 |
+#> |.....................|   0.01729 |    0.4972 |    0.8567 |   0.07769 |
+#> |.....................|    0.7134 |     3.900 |     1.560 |     1.624 |
+#> |.....................|     2.587 |     1.691 |...........|...........|
+#> |    F| Forward Diff. |    -7.990 |    0.8226 |  -0.02734 |    0.9308 |
+#> |.....................|   -0.6358 |  0.008756 |    -3.089 |    -2.706 |
+#> |.....................|  -0.08468 |   -0.5047 |    0.1760 |  -0.08785 |
+#> |.....................|  -0.06839 |  -0.06706 |...........|...........|
+#> |  129|     468.16872 |     1.012 |   -0.9746 |   -0.9536 |   -0.9297 |
+#> |.....................|   -0.9583 |   -0.9383 |   -0.5551 |   -0.6021 |
+#> |.....................|   -0.8428 |    0.6190 |   -0.6652 |   -0.4874 |
+#> |.....................|   -0.1424 |   -0.4276 |...........|...........|
+#> |    U|     468.16872 |     101.2 |    -4.075 |   -0.9534 |    -2.362 |
+#> |.....................|    -4.058 |  -0.01118 |    0.8585 |   0.07765 |
+#> |.....................|    0.7198 |     3.968 |     1.559 |     1.625 |
+#> |.....................|     2.586 |     1.694 |...........|...........|
+#> |    X|     468.16872 |     101.2 |   0.01700 |    0.2782 |   0.09420 |
+#> |.....................|   0.01728 |    0.4972 |    0.8585 |   0.07765 |
+#> |.....................|    0.7198 |     3.968 |     1.559 |     1.625 |
+#> |.....................|     2.586 |     1.694 |...........|...........|
+#> |    F| Forward Diff. |     1.949 |     1.224 |  -0.09904 |    0.8335 |
+#> |.....................|   -0.8902 |  0.008091 |    -1.732 |    -1.975 |
+#> |.....................|  -0.02618 |   -0.4349 |    0.2067 |   -0.1419 |
+#> |.....................|  -0.09587 |  -0.05531 |...........|...........|
+#> |  130|     468.14579 |     1.011 |   -0.9759 |   -0.9465 |   -0.9356 |
+#> |.....................|   -0.9575 |   -0.9407 |   -0.5519 |   -0.5999 |
+#> |.....................|   -0.8420 |    0.6626 |   -0.6664 |   -0.4855 |
+#> |.....................|   -0.1418 |   -0.4273 |...........|...........|
+#> |    U|     468.14579 |     101.1 |    -4.076 |   -0.9467 |    -2.368 |
+#> |.....................|    -4.057 |  -0.01121 |    0.8597 |   0.07772 |
+#> |.....................|    0.7204 |     4.037 |     1.557 |     1.627 |
+#> |.....................|     2.587 |     1.694 |...........|...........|
+#> |    X|     468.14579 |     101.1 |   0.01698 |    0.2795 |   0.09364 |
+#> |.....................|   0.01729 |    0.4972 |    0.8597 |   0.07772 |
+#> |.....................|    0.7204 |     4.037 |     1.557 |     1.627 |
+#> |.....................|     2.587 |     1.694 |...........|...........|
+#> |    F| Forward Diff. |    -9.402 |   -0.5832 |    0.1847 |    0.5188 |
+#> |.....................|   -0.4155 |  0.008564 |    -1.671 |    -1.980 |
+#> |.....................|  -0.03632 |   -0.3649 |    0.3304 |  -0.09551 |
+#> |.....................|   -0.1039 |  -0.08698 |...........|...........|
+#> |  131|     468.12514 |     1.011 |   -0.9763 |   -0.9445 |   -0.9403 |
+#> |.....................|   -0.9555 |   -0.9442 |   -0.5537 |   -0.5953 |
+#> |.....................|   -0.8391 |    0.7059 |   -0.6668 |   -0.4805 |
+#> |.....................|   -0.1376 |   -0.4223 |...........|...........|
+#> |    U|     468.12514 |     101.1 |    -4.076 |   -0.9449 |    -2.373 |
+#> |.....................|    -4.056 |  -0.01125 |    0.8590 |   0.07788 |
+#> |.....................|    0.7223 |     4.106 |     1.557 |     1.633 |
+#> |.....................|     2.593 |     1.700 |...........|...........|
+#> |    X|     468.12514 |     101.1 |   0.01697 |    0.2799 |   0.09320 |
+#> |.....................|   0.01733 |    0.4972 |    0.8590 |   0.07788 |
+#> |.....................|    0.7223 |     4.106 |     1.557 |     1.633 |
+#> |.....................|     2.593 |     1.700 |...........|...........|
+#> |    F| Forward Diff. |    -5.823 |   -0.4010 |    0.3316 |    0.1628 |
+#> |.....................|    0.2993 |  0.008766 |    -1.373 |    -1.049 |
+#> |.....................|  0.008284 |   -0.3402 |    0.4029 |   0.04088 |
+#> |.....................|  -0.03436 |  -0.04680 |...........|...........|
+#> |  132|     468.10920 |     1.012 |   -0.9773 |   -0.9503 |   -0.9395 |
+#> |.....................|   -0.9556 |   -0.9476 |   -0.5516 |   -0.5942 |
+#> |.....................|   -0.8420 |    0.7499 |   -0.6684 |   -0.4836 |
+#> |.....................|   -0.1347 |   -0.4216 |...........|...........|
+#> |    U|      468.1092 |     101.2 |    -4.077 |   -0.9504 |    -2.372 |
+#> |.....................|    -4.056 |  -0.01129 |    0.8598 |   0.07791 |
+#> |.....................|    0.7204 |     4.175 |     1.555 |     1.629 |
+#> |.....................|     2.597 |     1.700 |...........|...........|
+#> |    X|      468.1092 |     101.2 |   0.01695 |    0.2788 |   0.09328 |
+#> |.....................|   0.01732 |    0.4972 |    0.8598 |   0.07791 |
+#> |.....................|    0.7204 |     4.175 |     1.555 |     1.629 |
+#> |.....................|     2.597 |     1.700 |...........|...........|
+#> |    F| Forward Diff. |    0.4262 |  -0.09925 |    0.1213 |    0.1364 |
+#> |.....................|    0.2200 |  0.008054 |   -0.8480 |   -0.9224 |
+#> |.....................|  0.002683 |   -0.2932 |    0.3866 |  -0.06974 |
+#> |.....................|   0.01820 |  -0.05063 |...........|...........|
+#> |  133|     468.09766 |     1.011 |   -0.9774 |   -0.9506 |   -0.9392 |
+#> |.....................|   -0.9564 |   -0.9508 |   -0.5497 |   -0.5929 |
+#> |.....................|   -0.8318 |    0.7901 |   -0.6724 |   -0.4776 |
+#> |.....................|   -0.1474 |   -0.4133 |...........|...........|
+#> |    U|     468.09766 |     101.1 |    -4.077 |   -0.9507 |    -2.372 |
+#> |.....................|    -4.056 |  -0.01132 |    0.8605 |   0.07796 |
+#> |.....................|    0.7273 |     4.239 |     1.550 |     1.636 |
+#> |.....................|     2.578 |     1.710 |...........|...........|
+#> |    X|     468.09766 |     101.1 |   0.01695 |    0.2788 |   0.09331 |
+#> |.....................|   0.01731 |    0.4972 |    0.8605 |   0.07796 |
+#> |.....................|    0.7273 |     4.239 |     1.550 |     1.636 |
+#> |.....................|     2.578 |     1.710 |...........|...........|
+#> |    F| Forward Diff. |    -1.610 |   0.04645 |   0.08092 |    0.1870 |
+#> |.....................|   -0.1143 |  0.008788 |   -0.7906 |   -0.9380 |
+#> |.....................|   0.03576 |   -0.2567 |    0.2790 |   0.04583 |
+#> |.....................|   -0.1853 |   0.03622 |...........|...........|
+#> |  134|     468.08577 |     1.011 |   -0.9779 |   -0.9521 |   -0.9394 |
+#> |.....................|   -0.9569 |   -0.9550 |   -0.5484 |   -0.5900 |
+#> |.....................|   -0.8316 |    0.8332 |   -0.6752 |   -0.4781 |
+#> |.....................|   -0.1428 |   -0.4231 |...........|...........|
+#> |    U|     468.08577 |     101.1 |    -4.078 |   -0.9520 |    -2.372 |
+#> |.....................|    -4.057 |  -0.01137 |    0.8610 |   0.07805 |
+#> |.....................|    0.7274 |     4.307 |     1.546 |     1.635 |
+#> |.....................|     2.585 |     1.699 |...........|...........|
+#> |    X|     468.08577 |     101.1 |   0.01694 |    0.2785 |   0.09329 |
+#> |.....................|   0.01730 |    0.4972 |    0.8610 |   0.07805 |
+#> |.....................|    0.7274 |     4.307 |     1.546 |     1.635 |
+#> |.....................|     2.585 |     1.699 |...........|...........|
+#> |    F| Forward Diff. |    -2.835 |  -0.08271 |   0.01028 |    0.1502 |
+#> |.....................|   -0.2859 |  0.008536 |   -0.7298 |   -0.7597 |
+#> |.....................|   0.09519 |   -0.2281 |    0.1720 |  -0.01715 |
+#> |.....................|   -0.1386 |   -0.1062 |...........|...........|
+#> |  135|     468.06947 |     1.011 |   -0.9795 |   -0.9573 |   -0.9407 |
+#> |.....................|   -0.9575 |   -0.9652 |   -0.5443 |   -0.5834 |
+#> |.....................|   -0.8515 |    0.9153 |   -0.6785 |   -0.4834 |
+#> |.....................|   -0.1291 |   -0.4003 |...........|...........|
+#> |    U|     468.06947 |     101.1 |    -4.080 |   -0.9569 |    -2.373 |
+#> |.....................|    -4.057 |  -0.01148 |    0.8625 |   0.07827 |
+#> |.....................|    0.7139 |     4.437 |     1.542 |     1.629 |
+#> |.....................|     2.605 |     1.725 |...........|...........|
+#> |    X|     468.06947 |     101.1 |   0.01692 |    0.2775 |   0.09316 |
+#> |.....................|   0.01729 |    0.4971 |    0.8625 |   0.07827 |
+#> |.....................|    0.7139 |     4.437 |     1.542 |     1.629 |
+#> |.....................|     2.605 |     1.725 |...........|...........|
+#> |    F| Forward Diff. |    -3.887 |   -0.6407 |   -0.1939 |   0.08469 |
+#> |.....................|   -0.4208 |  0.006503 |    -1.301 |    -1.072 |
+#> |.....................|   -0.1255 |   -0.1861 |    0.1431 |  -0.06050 |
+#> |.....................|   0.01658 |    0.1111 |...........|...........|
+#> |  136|     468.05012 |     1.012 |   -0.9812 |   -0.9547 |   -0.9420 |
+#> |.....................|   -0.9570 |   -0.9873 |   -0.5356 |   -0.5736 |
+#> |.....................|   -0.8556 |     1.092 |   -0.6884 |   -0.4796 |
+#> |.....................|   -0.1211 |   -0.3873 |...........|...........|
+#> |    U|     468.05012 |     101.2 |    -4.081 |   -0.9544 |    -2.375 |
+#> |.....................|    -4.057 |  -0.01172 |    0.8656 |   0.07860 |
+#> |.....................|    0.7112 |     4.716 |     1.529 |     1.634 |
+#> |.....................|     2.617 |     1.740 |...........|...........|
+#> |    X|     468.05012 |     101.2 |   0.01689 |    0.2780 |   0.09305 |
+#> |.....................|   0.01730 |    0.4971 |    0.8656 |   0.07860 |
+#> |.....................|    0.7112 |     4.716 |     1.529 |     1.634 |
+#> |.....................|     2.617 |     1.740 |...........|...........|
+#> |    F| Forward Diff. |     2.331 |   -0.3124 |   0.04539 |  -0.09325 |
+#> |.....................|   -0.3359 |  0.005628 |   -0.9294 |   -0.4404 |
+#> |.....................|   -0.1788 |   -0.1003 |   -0.1180 |  -0.02636 |
+#> |.....................|   0.09915 |    0.1820 |...........|...........|
+#> |  137|     468.05341 |     1.012 |   -0.9836 |   -0.9687 |   -0.9317 |
+#> |.....................|   -0.9507 |    -1.013 |   -0.5235 |   -0.5660 |
+#> |.....................|   -0.8472 |     1.268 |   -0.6904 |   -0.4754 |
+#> |.....................|   -0.1200 |   -0.3857 |...........|...........|
+#> |    U|     468.05341 |     101.2 |    -4.084 |   -0.9676 |    -2.364 |
+#> |.....................|    -4.051 |  -0.01201 |    0.8700 |   0.07886 |
+#> |.....................|    0.7168 |     4.995 |     1.527 |     1.639 |
+#> |.....................|     2.619 |     1.742 |...........|...........|
+#> |    X|     468.05341 |     101.2 |   0.01685 |    0.2754 |   0.09401 |
+#> |.....................|   0.01741 |    0.4970 |    0.8700 |   0.07886 |
+#> |.....................|    0.7168 |     4.995 |     1.527 |     1.639 |
+#> |.....................|     2.619 |     1.742 |...........|...........|
+#> |  138|     468.05012 |     1.012 |   -0.9812 |   -0.9547 |   -0.9420 |
+#> |.....................|   -0.9570 |   -0.9873 |   -0.5356 |   -0.5736 |
+#> |.....................|   -0.8556 |     1.092 |   -0.6884 |   -0.4796 |
+#> |.....................|   -0.1211 |   -0.3873 |...........|...........|
+#> |    U|     468.05012 |     101.2 |    -4.081 |   -0.9544 |    -2.375 |
+#> |.....................|    -4.057 |  -0.01172 |    0.8656 |   0.07860 |
+#> |.....................|    0.7112 |     4.716 |     1.529 |     1.634 |
+#> |.....................|     2.617 |     1.740 |...........|...........|
+#> |    X|     468.05012 |     101.2 |   0.01689 |    0.2780 |   0.09305 |
+#> |.....................|   0.01730 |    0.4971 |    0.8656 |   0.07860 |
+#> |.....................|    0.7112 |     4.716 |     1.529 |     1.634 |
+#> |.....................|     2.617 |     1.740 |...........|...........|
+#> calculating covariance matrix
+#> done
+#> Calculating residuals/tables
+#> done
+AIC(f_nlmixr_dfop_sfo_saem$nm, f_nlmixr_dfop_sfo_focei$nm)
+#> Calculating -2LL by Gaussian quadrature (nnodes=3,nsd=1.6)
+#> 
+#>                            df       AIC
+#> f_nlmixr_dfop_sfo_saem$nm  16 1105.3725
+#> f_nlmixr_dfop_sfo_focei$nm 14  810.3271
+summary(f_nlmixr_dfop_sfo_sfo, data = TRUE)
+#> Error in h(simpleError(msg, call)): error in evaluating the argument 'object' in selecting a method for function 'summary': object 'f_nlmixr_dfop_sfo_sfo' not found
+# }
+
+
+
+
+ +
+ + +
+

Developed by Johannes Ranke.

+
+ +
+

Site built with pkgdown 2.0.2.

+
+ +
+ + + + + + + + diff --git a/docs/reference/summary.saem.mmkin.html b/docs/reference/summary.saem.mmkin.html new file mode 100644 index 00000000..2fe81023 --- /dev/null +++ b/docs/reference/summary.saem.mmkin.html @@ -0,0 +1,230 @@ + +Summary method for class "saem.mmkin" — summary.saem.mmkin • mkin + + +
+
+ + + +
+
+
+

Summary method for class "saem.mmkin"

+ Source: R/summary.saem.mmkin.R + +
+ +
+

Lists model equations, initial parameter values, optimised parameters +for fixed effects (population), random effects (deviations from the +population mean) and residual error model, as well as the resulting +endpoints such as formation fractions and DT50 values. Optionally +(default is FALSE), the data are listed in full.

+
+ +
+ 
# S3 method for saem.mmkin
+summary(object, data = FALSE, verbose = FALSE, distimes = TRUE, ...)
+
+# S3 method for summary.saem.mmkin
+print(x, digits = max(3, getOption("digits") - 3), verbose = x$verbose, ...)
+
+ +
+

Arguments

+
object
+

an object of class saem.mmkin

+
data
+

logical, indicating whether the full data should be included in +the summary.

+
verbose
+

Should the summary be verbose?

+
distimes
+

logical, indicating whether DT50 and DT90 values should be +included.

+
...
+

optional arguments passed to methods like print.

+
x
+

an object of class summary.saem.mmkin

+
digits
+

Number of digits to use for printing

+
+
+

Value

+

The summary function returns a list based on the saemix::SaemixObjectobtained in the fit, with at least the following additional components

+
saemixversion, mkinversion, Rversion
+

The saemix, mkin and R versions used

+
date.fit, date.summary
+

The dates where the fit and the summary were +produced

+
diffs
+

The differential equations used in the degradation model

+
use_of_ff
+

Was maximum or minimum use made of formation fractions

+
data
+

The data

+
confint_trans
+

Transformed parameters as used in the optimisation, with confidence intervals

+
confint_back
+

Backtransformed parameters, with confidence intervals if available

+
confint_errmod
+

Error model parameters with confidence intervals

+
ff
+

The estimated formation fractions derived from the fitted +model.

+
distimes
+

The DT50 and DT90 values for each observed variable.

+
SFORB
+

If applicable, eigenvalues of SFORB components of the model.

+

The print method is called for its side effect, i.e. printing the summary.

+
+
+

Author

+

Johannes Ranke for the mkin specific parts +saemix authors for the parts inherited from saemix.

+
+ +
+

Examples

+ 
# Generate five datasets following DFOP-SFO kinetics
+sampling_times = c(0, 1, 3, 7, 14, 28, 60, 90, 120)
+dfop_sfo <- mkinmod(parent = mkinsub("DFOP", "m1"),
+ m1 = mkinsub("SFO"), quiet = TRUE)
+set.seed(1234)
+k1_in <- rlnorm(5, log(0.1), 0.3)
+k2_in <- rlnorm(5, log(0.02), 0.3)
+g_in <- plogis(rnorm(5, qlogis(0.5), 0.3))
+f_parent_to_m1_in <- plogis(rnorm(5, qlogis(0.3), 0.3))
+k_m1_in <- rlnorm(5, log(0.02), 0.3)
+
+pred_dfop_sfo <- function(k1, k2, g, f_parent_to_m1, k_m1) {
+  mkinpredict(dfop_sfo,
+    c(k1 = k1, k2 = k2, g = g, f_parent_to_m1 = f_parent_to_m1, k_m1 = k_m1),
+    c(parent = 100, m1 = 0),
+    sampling_times)
+}
+
+ds_mean_dfop_sfo <- lapply(1:5, function(i) {
+  mkinpredict(dfop_sfo,
+    c(k1 = k1_in[i], k2 = k2_in[i], g = g_in[i],
+      f_parent_to_m1 = f_parent_to_m1_in[i], k_m1 = k_m1_in[i]),
+    c(parent = 100, m1 = 0),
+    sampling_times)
+})
+names(ds_mean_dfop_sfo) <- paste("ds", 1:5)
+
+ds_syn_dfop_sfo <- lapply(ds_mean_dfop_sfo, function(ds) {
+  add_err(ds,
+    sdfunc = function(value) sqrt(1^2 + value^2 * 0.07^2),
+    n = 1)[[1]]
+})
+
+# \dontrun{
+# Evaluate using mmkin and saem
+f_mmkin_dfop_sfo <- mmkin(list(dfop_sfo), ds_syn_dfop_sfo,
+  quiet = TRUE, error_model = "tc", cores = 5)
+f_saem_dfop_sfo <- saem(f_mmkin_dfop_sfo)
+#>  
+#> Error in rxModelVars_(obj): Not compatible with STRSXP: [type=NULL].
+summary(f_saem_dfop_sfo, data = TRUE)
+#> Error in h(simpleError(msg, call)): error in evaluating the argument 'object' in selecting a method for function 'summary': object 'f_saem_dfop_sfo' not found
+# }
+
+
+
+
+ +
+ + +
+

Developed by Johannes Ranke.

+
+ +
+

Site built with pkgdown 2.0.2.

+
+ +
+ + + + + + + + diff --git a/docs/reference/synthetic_data_for_UBA_2014-1.png b/docs/reference/synthetic_data_for_UBA_2014-1.png index 89975db5..132380a8 100644 Binary files a/docs/reference/synthetic_data_for_UBA_2014-1.png and b/docs/reference/synthetic_data_for_UBA_2014-1.png differ diff --git a/docs/reference/synthetic_data_for_UBA_2014.html b/docs/reference/synthetic_data_for_UBA_2014.html index c37b986e..7d79341c 100644 --- a/docs/reference/synthetic_data_for_UBA_2014.html +++ b/docs/reference/synthetic_data_for_UBA_2014.html @@ -1,46 +1,5 @@ - - - - - - - -Synthetic datasets for one parent compound with two metabolites — synthetic_data_for_UBA_2014 • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Synthetic datasets for one parent compound with two metabolites — synthetic_data_for_UBA_2014 • mkin - - - - - - - - - - - - - + + -
-
- -
- -
+

Synthetic datasets for one parent compound with two metabolites

@@ -177,300 +116,308 @@ Compare also the code in the example section to see the degradation models." />

Compare also the code in the example section to see the degradation models.

- 
synthetic_data_for_UBA_2014
+
+ 
synthetic_data_for_UBA_2014
+
+
+

Format

+

A list containing twelve datasets as an R6 class defined by mkinds, + each containing, among others, the following components

title
+

The name of the dataset, e.g. SFO_lin_a

-

Format

+
data
+

A data frame with the data in the form expected by mkinfit

-

A list containing twelve datasets as an R6 class defined by mkinds, - each containing, among others, the following components

-
title

The name of the dataset, e.g. SFO_lin_a

-
data

A data frame with the data in the form expected by mkinfit

-
- -

Source

- +
+
+

Source

Ranke (2014) Prüfung und Validierung von Modellierungssoftware als Alternative zu ModelMaker 4.0, Umweltbundesamt Projektnummer 27452

Rocke, David M. und Lorenzato, Stefan (1995) A two-component model for measurement error in analytical chemistry. Technometrics 37(2), 176-184.

+
-

Examples

- 
# \dontrun{
-# The data have been generated using the following kinetic models
-m_synth_SFO_lin <- mkinmod(parent = list(type = "SFO", to = "M1"),
-                           M1 = list(type = "SFO", to = "M2"),
-                           M2 = list(type = "SFO"), use_of_ff = "max")
-
#> Temporary DLL for differentials generated and loaded

-
-m_synth_SFO_par <- mkinmod(parent = list(type = "SFO", to = c("M1", "M2"),
-                                         sink = FALSE),
-                           M1 = list(type = "SFO"),
-                           M2 = list(type = "SFO"), use_of_ff = "max")
-
#> Temporary DLL for differentials generated and loaded

-m_synth_DFOP_lin <- mkinmod(parent = list(type = "DFOP", to = "M1"),
-                            M1 = list(type = "SFO", to = "M2"),
-                            M2 = list(type = "SFO"), use_of_ff = "max")
-
#> Temporary DLL for differentials generated and loaded

-m_synth_DFOP_par <- mkinmod(parent = list(type = "DFOP", to = c("M1", "M2"),
-                                          sink = FALSE),
-                            M1 = list(type = "SFO"),
-                            M2 = list(type = "SFO"), use_of_ff = "max")
-
#> Temporary DLL for differentials generated and loaded

-# The model predictions without intentional error were generated as follows
-sampling_times = c(0, 1, 3, 7, 14, 28, 60, 90, 120)
-
-d_synth_SFO_lin <- mkinpredict(m_synth_SFO_lin,
-                               c(k_parent = 0.7, f_parent_to_M1 = 0.8,
-                                 k_M1 = 0.3, f_M1_to_M2 = 0.7,
-                                 k_M2 = 0.02),
-                               c(parent = 100, M1 = 0, M2 = 0),
-                               sampling_times)
-
-d_synth_DFOP_lin <- mkinpredict(m_synth_DFOP_lin,
-                                c(k1 = 0.2, k2 = 0.02, g = 0.5,
-                                  f_parent_to_M1 = 0.5, k_M1 = 0.3,
-                                  f_M1_to_M2 = 0.7, k_M2 = 0.02),
-                                 c(parent = 100, M1 = 0, M2 = 0),
-                                 sampling_times)
-
-d_synth_SFO_par <- mkinpredict(m_synth_SFO_par,
-                               c(k_parent = 0.2,
-                                 f_parent_to_M1 = 0.8, k_M1 = 0.01,
-                                 f_parent_to_M2 = 0.2, k_M2 = 0.02),
-                                 c(parent = 100, M1 = 0, M2 = 0),
-                                 sampling_times)
-
-d_synth_DFOP_par <- mkinpredict(m_synth_DFOP_par,
-                               c(k1 = 0.3, k2 = 0.02, g = 0.7,
-                                 f_parent_to_M1 = 0.6, k_M1 = 0.04,
-                                 f_parent_to_M2 = 0.4, k_M2 = 0.01),
-                                 c(parent = 100, M1 = 0, M2 = 0),
-                                 sampling_times)
-
-# Construct names for datasets with errors
-d_synth_names = paste0("d_synth_", c("SFO_lin", "SFO_par",
-                                     "DFOP_lin", "DFOP_par"))
-
-# Original function used or adding errors. The add_err function now published
-# with this package is a slightly generalised version where the names of
-# secondary compartments that should have an initial value of zero (M1 and M2
-# in this case) are not hardcoded any more.
-# add_err = function(d, sdfunc, LOD = 0.1, reps = 2, seed = 123456789)
-# {
-#   set.seed(seed)
-#   d_long = mkin_wide_to_long(d, time = "time")
-#   d_rep = data.frame(lapply(d_long, rep, each = 2))
-#   d_rep$value = rnorm(length(d_rep$value), d_rep$value, sdfunc(d_rep$value))
-#
-#   d_rep[d_rep$time == 0 & d_rep$name %in% c("M1", "M2"), "value"] <- 0
-#   d_NA <- transform(d_rep, value = ifelse(value < LOD, NA, value))
-#   d_NA$value <- round(d_NA$value, 1)
-#   return(d_NA)
-# }
-
-# The following is the simplified version of the two-component model of Rocke
-# and Lorenzato (1995)
-sdfunc_twocomp = function(value, sd_low, rsd_high) {
-  sqrt(sd_low^2 + value^2 * rsd_high^2)
-}
-
-# Add the errors.
-for (d_synth_name in d_synth_names)
-{
-  d_synth = get(d_synth_name)
-  assign(paste0(d_synth_name, "_a"), add_err(d_synth, function(value) 3))
-  assign(paste0(d_synth_name, "_b"), add_err(d_synth, function(value) 7))
-  assign(paste0(d_synth_name, "_c"), add_err(d_synth,
-                           function(value) sdfunc_twocomp(value, 0.5, 0.07)))
-
-}
-
-d_synth_err_names = c(
-  paste(rep(d_synth_names, each = 3), letters[1:3], sep = "_")
-)
-
-# This is just one example of an evaluation using the kinetic model used for
-# the generation of the data
-  fit <- mkinfit(m_synth_SFO_lin, synthetic_data_for_UBA_2014[[1]]$data,
-                 quiet = TRUE)
-  plot_sep(fit)
-
  summary(fit)
-
#> mkin version used for fitting:    1.0.3 
-#> R version used for fitting:       4.0.3 
-#> Date of fit:     Mon Feb 15 13:46:15 2021 
-#> Date of summary: Mon Feb 15 13:46:15 2021 
-#> 
-#> Equations:
-#> d_parent/dt = - k_parent * parent
-#> d_M1/dt = + f_parent_to_M1 * k_parent * parent - k_M1 * M1
-#> d_M2/dt = + f_M1_to_M2 * k_M1 * M1 - k_M2 * M2
-#> 
-#> Model predictions using solution type deSolve 
-#> 
-#> Fitted using 833 model solutions performed in 0.665 s
-#> 
-#> Error model: Constant variance 
-#> 
-#> Error model algorithm: OLS 
-#> 
-#> Starting values for parameters to be optimised:
-#>                   value   type
-#> parent_0       101.3500  state
-#> k_parent         0.1000 deparm
-#> k_M1             0.1001 deparm
-#> k_M2             0.1002 deparm
-#> f_parent_to_M1   0.5000 deparm
-#> f_M1_to_M2       0.5000 deparm
-#> 
-#> Starting values for the transformed parameters actually optimised:
-#>                      value lower upper
-#> parent_0        101.350000  -Inf   Inf
-#> log_k_parent     -2.302585  -Inf   Inf
-#> log_k_M1         -2.301586  -Inf   Inf
-#> log_k_M2         -2.300587  -Inf   Inf
-#> f_parent_qlogis   0.000000  -Inf   Inf
-#> f_M1_qlogis       0.000000  -Inf   Inf
-#> 
-#> Fixed parameter values:
-#>      value  type
-#> M1_0     0 state
-#> M2_0     0 state
-#> 
-#> Results:
-#> 
-#>        AIC      BIC    logLik
-#>   188.7274 200.3723 -87.36368
-#> 
-#> Optimised, transformed parameters with symmetric confidence intervals:
-#>                 Estimate Std. Error   Lower    Upper
-#> parent_0        102.1000    1.57000 98.8600 105.3000
-#> log_k_parent     -0.3020    0.03885 -0.3812  -0.2229
-#> log_k_M1         -1.2070    0.07123 -1.3520  -1.0620
-#> log_k_M2         -3.9010    0.06571 -4.0350  -3.7670
-#> f_parent_qlogis   1.2010    0.23530  0.7216   1.6800
-#> f_M1_qlogis       0.9589    0.24890  0.4520   1.4660
-#> sigma             2.2730    0.25740  1.7490   2.7970
-#> 
-#> Parameter correlation:
-#>                   parent_0 log_k_parent   log_k_M1   log_k_M2 f_parent_qlogis
-#> parent_0         1.000e+00    3.933e-01 -1.605e-01  2.819e-02      -4.624e-01
-#> log_k_parent     3.933e-01    1.000e+00 -4.082e-01  7.166e-02      -5.682e-01
-#> log_k_M1        -1.605e-01   -4.082e-01  1.000e+00 -3.929e-01       7.478e-01
-#> log_k_M2         2.819e-02    7.166e-02 -3.929e-01  1.000e+00      -2.658e-01
-#> f_parent_qlogis -4.624e-01   -5.682e-01  7.478e-01 -2.658e-01       1.000e+00
-#> f_M1_qlogis      1.614e-01    4.102e-01 -8.109e-01  5.419e-01      -8.605e-01
-#> sigma           -2.900e-08   -8.030e-09 -2.741e-08  3.938e-08      -2.681e-08
-#>                 f_M1_qlogis      sigma
-#> parent_0          1.614e-01 -2.900e-08
-#> log_k_parent      4.102e-01 -8.030e-09
-#> log_k_M1         -8.109e-01 -2.741e-08
-#> log_k_M2          5.419e-01  3.938e-08
-#> f_parent_qlogis  -8.605e-01 -2.681e-08
-#> f_M1_qlogis       1.000e+00  4.971e-08
-#> sigma             4.971e-08  1.000e+00
-#> 
-#> Backtransformed parameters:
-#> Confidence intervals for internally transformed parameters are asymmetric.
-#> t-test (unrealistically) based on the assumption of normal distribution
-#> for estimators of untransformed parameters.
-#>                 Estimate t value    Pr(>t)    Lower     Upper
-#> parent_0       102.10000  65.000 7.281e-36 98.86000 105.30000
-#> k_parent         0.73930  25.740 2.948e-23  0.68310   0.80020
-#> k_M1             0.29920  14.040 1.577e-15  0.25880   0.34590
-#> k_M2             0.02023  15.220 1.653e-16  0.01769   0.02312
-#> f_parent_to_M1   0.76870  18.370 7.295e-19  0.67300   0.84290
-#> f_M1_to_M2       0.72290  14.500 6.418e-16  0.61110   0.81240
-#> sigma            2.27300   8.832 2.161e-10  1.74900   2.79700
-#> 
-#> FOCUS Chi2 error levels in percent:
-#>          err.min n.optim df
-#> All data   8.454       6 17
-#> parent     8.660       2  6
-#> M1        10.583       2  5
-#> M2         3.586       2  6
-#> 
-#> Resulting formation fractions:
-#>                 ff
-#> parent_M1   0.7687
-#> parent_sink 0.2313
-#> M1_M2       0.7229
-#> M1_sink     0.2771
-#> 
-#> Estimated disappearance times:
-#>           DT50    DT90
-#> parent  0.9376   3.114
-#> M1      2.3170   7.697
-#> M2     34.2689 113.839
-#> 
-#> Data:
-#>  time variable observed  predicted residual
-#>     0   parent    101.5  1.021e+02 -0.56248
-#>     0   parent    101.2  1.021e+02 -0.86248
-#>     1   parent     53.9  4.873e+01  5.17118
-#>     1   parent     47.5  4.873e+01 -1.22882
-#>     3   parent     10.4  1.111e+01 -0.70773
-#>     3   parent      7.6  1.111e+01 -3.50773
-#>     7   parent      1.1  5.772e-01  0.52283
-#>     7   parent      0.3  5.772e-01 -0.27717
-#>    14   parent      3.5  3.264e-03  3.49674
-#>    28   parent      3.2  1.045e-07  3.20000
-#>    90   parent      0.6  9.530e-10  0.60000
-#>   120   parent      3.5 -5.940e-10  3.50000
-#>     1       M1     36.4  3.479e+01  1.61088
-#>     1       M1     37.4  3.479e+01  2.61088
-#>     3       M1     34.3  3.937e+01 -5.07027
-#>     3       M1     39.8  3.937e+01  0.42973
-#>     7       M1     15.1  1.549e+01 -0.38715
-#>     7       M1     17.8  1.549e+01  2.31285
-#>    14       M1      5.8  1.995e+00  3.80469
-#>    14       M1      1.2  1.995e+00 -0.79531
-#>    60       M1      0.5  2.111e-06  0.50000
-#>    90       M1      3.2 -9.670e-10  3.20000
-#>   120       M1      1.5  7.670e-10  1.50000
-#>   120       M1      0.6  7.670e-10  0.60000
-#>     1       M2      4.8  4.455e+00  0.34517
-#>     3       M2     20.9  2.153e+01 -0.62527
-#>     3       M2     19.3  2.153e+01 -2.22527
-#>     7       M2     42.0  4.192e+01  0.07941
-#>     7       M2     43.1  4.192e+01  1.17941
-#>    14       M2     49.4  4.557e+01  3.83353
-#>    14       M2     44.3  4.557e+01 -1.26647
-#>    28       M2     34.6  3.547e+01 -0.87275
-#>    28       M2     33.0  3.547e+01 -2.47275
-#>    60       M2     18.8  1.858e+01  0.21837
-#>    60       M2     17.6  1.858e+01 -0.98163
-#>    90       M2     10.6  1.013e+01  0.47130
-#>    90       M2     10.8  1.013e+01  0.67130
-#>   120       M2      9.8  5.521e+00  4.27893
-#>   120       M2      3.3  5.521e+00 -2.22107
# }
-
+
+

Examples

+ 
# \dontrun{
+# The data have been generated using the following kinetic models
+m_synth_SFO_lin <- mkinmod(parent = list(type = "SFO", to = "M1"),
+                           M1 = list(type = "SFO", to = "M2"),
+                           M2 = list(type = "SFO"), use_of_ff = "max")
+#> Temporary DLL for differentials generated and loaded
+
+
+m_synth_SFO_par <- mkinmod(parent = list(type = "SFO", to = c("M1", "M2"),
+                                         sink = FALSE),
+                           M1 = list(type = "SFO"),
+                           M2 = list(type = "SFO"), use_of_ff = "max")
+#> Temporary DLL for differentials generated and loaded
+
+m_synth_DFOP_lin <- mkinmod(parent = list(type = "DFOP", to = "M1"),
+                            M1 = list(type = "SFO", to = "M2"),
+                            M2 = list(type = "SFO"), use_of_ff = "max")
+#> Temporary DLL for differentials generated and loaded
+
+m_synth_DFOP_par <- mkinmod(parent = list(type = "DFOP", to = c("M1", "M2"),
+                                          sink = FALSE),
+                            M1 = list(type = "SFO"),
+                            M2 = list(type = "SFO"), use_of_ff = "max")
+#> Temporary DLL for differentials generated and loaded
+
+# The model predictions without intentional error were generated as follows
+sampling_times = c(0, 1, 3, 7, 14, 28, 60, 90, 120)
+
+d_synth_SFO_lin <- mkinpredict(m_synth_SFO_lin,
+                               c(k_parent = 0.7, f_parent_to_M1 = 0.8,
+                                 k_M1 = 0.3, f_M1_to_M2 = 0.7,
+                                 k_M2 = 0.02),
+                               c(parent = 100, M1 = 0, M2 = 0),
+                               sampling_times)
+
+d_synth_DFOP_lin <- mkinpredict(m_synth_DFOP_lin,
+                                c(k1 = 0.2, k2 = 0.02, g = 0.5,
+                                  f_parent_to_M1 = 0.5, k_M1 = 0.3,
+                                  f_M1_to_M2 = 0.7, k_M2 = 0.02),
+                                 c(parent = 100, M1 = 0, M2 = 0),
+                                 sampling_times)
+
+d_synth_SFO_par <- mkinpredict(m_synth_SFO_par,
+                               c(k_parent = 0.2,
+                                 f_parent_to_M1 = 0.8, k_M1 = 0.01,
+                                 f_parent_to_M2 = 0.2, k_M2 = 0.02),
+                                 c(parent = 100, M1 = 0, M2 = 0),
+                                 sampling_times)
+
+d_synth_DFOP_par <- mkinpredict(m_synth_DFOP_par,
+                               c(k1 = 0.3, k2 = 0.02, g = 0.7,
+                                 f_parent_to_M1 = 0.6, k_M1 = 0.04,
+                                 f_parent_to_M2 = 0.4, k_M2 = 0.01),
+                                 c(parent = 100, M1 = 0, M2 = 0),
+                                 sampling_times)
+
+# Construct names for datasets with errors
+d_synth_names = paste0("d_synth_", c("SFO_lin", "SFO_par",
+                                     "DFOP_lin", "DFOP_par"))
+
+# Original function used or adding errors. The add_err function now published
+# with this package is a slightly generalised version where the names of
+# secondary compartments that should have an initial value of zero (M1 and M2
+# in this case) are not hardcoded any more.
+# add_err = function(d, sdfunc, LOD = 0.1, reps = 2, seed = 123456789)
+# {
+#   set.seed(seed)
+#   d_long = mkin_wide_to_long(d, time = "time")
+#   d_rep = data.frame(lapply(d_long, rep, each = 2))
+#   d_rep$value = rnorm(length(d_rep$value), d_rep$value, sdfunc(d_rep$value))
+#
+#   d_rep[d_rep$time == 0 & d_rep$name %in% c("M1", "M2"), "value"] <- 0
+#   d_NA <- transform(d_rep, value = ifelse(value < LOD, NA, value))
+#   d_NA$value <- round(d_NA$value, 1)
+#   return(d_NA)
+# }
+
+# The following is the simplified version of the two-component model of Rocke
+# and Lorenzato (1995)
+sdfunc_twocomp = function(value, sd_low, rsd_high) {
+  sqrt(sd_low^2 + value^2 * rsd_high^2)
+}
+
+# Add the errors.
+for (d_synth_name in d_synth_names)
+{
+  d_synth = get(d_synth_name)
+  assign(paste0(d_synth_name, "_a"), add_err(d_synth, function(value) 3))
+  assign(paste0(d_synth_name, "_b"), add_err(d_synth, function(value) 7))
+  assign(paste0(d_synth_name, "_c"), add_err(d_synth,
+                           function(value) sdfunc_twocomp(value, 0.5, 0.07)))
+
+}
+
+d_synth_err_names = c(
+  paste(rep(d_synth_names, each = 3), letters[1:3], sep = "_")
+)
+
+# This is just one example of an evaluation using the kinetic model used for
+# the generation of the data
+  fit <- mkinfit(m_synth_SFO_lin, synthetic_data_for_UBA_2014[[1]]$data,
+                 quiet = TRUE)
+  plot_sep(fit)
+
+  summary(fit)
+#> mkin version used for fitting:    1.1.0 
+#> R version used for fitting:       4.1.2 
+#> Date of fit:     Wed Mar  2 13:44:06 2022 
+#> Date of summary: Wed Mar  2 13:44:06 2022 
+#> 
+#> Equations:
+#> d_parent/dt = - k_parent * parent
+#> d_M1/dt = + f_parent_to_M1 * k_parent * parent - k_M1 * M1
+#> d_M2/dt = + f_M1_to_M2 * k_M1 * M1 - k_M2 * M2
+#> 
+#> Model predictions using solution type deSolve 
+#> 
+#> Fitted using 833 model solutions performed in 0.756 s
+#> 
+#> Error model: Constant variance 
+#> 
+#> Error model algorithm: OLS 
+#> 
+#> Starting values for parameters to be optimised:
+#>                   value   type
+#> parent_0       101.3500  state
+#> k_parent         0.1000 deparm
+#> k_M1             0.1001 deparm
+#> k_M2             0.1002 deparm
+#> f_parent_to_M1   0.5000 deparm
+#> f_M1_to_M2       0.5000 deparm
+#> 
+#> Starting values for the transformed parameters actually optimised:
+#>                      value lower upper
+#> parent_0        101.350000  -Inf   Inf
+#> log_k_parent     -2.302585  -Inf   Inf
+#> log_k_M1         -2.301586  -Inf   Inf
+#> log_k_M2         -2.300587  -Inf   Inf
+#> f_parent_qlogis   0.000000  -Inf   Inf
+#> f_M1_qlogis       0.000000  -Inf   Inf
+#> 
+#> Fixed parameter values:
+#>      value  type
+#> M1_0     0 state
+#> M2_0     0 state
+#> 
+#> Results:
+#> 
+#>        AIC      BIC    logLik
+#>   188.7274 200.3723 -87.36368
+#> 
+#> Optimised, transformed parameters with symmetric confidence intervals:
+#>                 Estimate Std. Error   Lower    Upper
+#> parent_0        102.1000    1.57000 98.8600 105.3000
+#> log_k_parent     -0.3020    0.03885 -0.3812  -0.2229
+#> log_k_M1         -1.2070    0.07123 -1.3520  -1.0620
+#> log_k_M2         -3.9010    0.06571 -4.0350  -3.7670
+#> f_parent_qlogis   1.2010    0.23530  0.7216   1.6800
+#> f_M1_qlogis       0.9589    0.24890  0.4520   1.4660
+#> sigma             2.2730    0.25740  1.7490   2.7970
+#> 
+#> Parameter correlation:
+#>                   parent_0 log_k_parent   log_k_M1   log_k_M2 f_parent_qlogis
+#> parent_0         1.000e+00    3.933e-01 -1.605e-01  2.819e-02      -4.624e-01
+#> log_k_parent     3.933e-01    1.000e+00 -4.082e-01  7.166e-02      -5.682e-01
+#> log_k_M1        -1.605e-01   -4.082e-01  1.000e+00 -3.929e-01       7.478e-01
+#> log_k_M2         2.819e-02    7.166e-02 -3.929e-01  1.000e+00      -2.658e-01
+#> f_parent_qlogis -4.624e-01   -5.682e-01  7.478e-01 -2.658e-01       1.000e+00
+#> f_M1_qlogis      1.614e-01    4.102e-01 -8.109e-01  5.419e-01      -8.605e-01
+#> sigma           -2.900e-08   -8.030e-09 -2.741e-08  3.938e-08      -2.681e-08
+#>                 f_M1_qlogis      sigma
+#> parent_0          1.614e-01 -2.900e-08
+#> log_k_parent      4.102e-01 -8.030e-09
+#> log_k_M1         -8.109e-01 -2.741e-08
+#> log_k_M2          5.419e-01  3.938e-08
+#> f_parent_qlogis  -8.605e-01 -2.681e-08
+#> f_M1_qlogis       1.000e+00  4.971e-08
+#> sigma             4.971e-08  1.000e+00
+#> 
+#> Backtransformed parameters:
+#> Confidence intervals for internally transformed parameters are asymmetric.
+#> t-test (unrealistically) based on the assumption of normal distribution
+#> for estimators of untransformed parameters.
+#>                 Estimate t value    Pr(>t)    Lower     Upper
+#> parent_0       102.10000  65.000 7.281e-36 98.86000 105.30000
+#> k_parent         0.73930  25.740 2.948e-23  0.68310   0.80020
+#> k_M1             0.29920  14.040 1.577e-15  0.25880   0.34590
+#> k_M2             0.02023  15.220 1.653e-16  0.01769   0.02312
+#> f_parent_to_M1   0.76870  18.370 7.295e-19  0.67300   0.84290
+#> f_M1_to_M2       0.72290  14.500 6.418e-16  0.61110   0.81240
+#> sigma            2.27300   8.832 2.161e-10  1.74900   2.79700
+#> 
+#> FOCUS Chi2 error levels in percent:
+#>          err.min n.optim df
+#> All data   8.454       6 17
+#> parent     8.660       2  6
+#> M1        10.583       2  5
+#> M2         3.586       2  6
+#> 
+#> Resulting formation fractions:
+#>                 ff
+#> parent_M1   0.7687
+#> parent_sink 0.2313
+#> M1_M2       0.7229
+#> M1_sink     0.2771
+#> 
+#> Estimated disappearance times:
+#>           DT50    DT90
+#> parent  0.9376   3.114
+#> M1      2.3170   7.697
+#> M2     34.2689 113.839
+#> 
+#> Data:
+#>  time variable observed  predicted residual
+#>     0   parent    101.5  1.021e+02 -0.56248
+#>     0   parent    101.2  1.021e+02 -0.86248
+#>     1   parent     53.9  4.873e+01  5.17118
+#>     1   parent     47.5  4.873e+01 -1.22882
+#>     3   parent     10.4  1.111e+01 -0.70773
+#>     3   parent      7.6  1.111e+01 -3.50773
+#>     7   parent      1.1  5.772e-01  0.52283
+#>     7   parent      0.3  5.772e-01 -0.27717
+#>    14   parent      3.5  3.264e-03  3.49674
+#>    28   parent      3.2  1.045e-07  3.20000
+#>    90   parent      0.6  9.530e-10  0.60000
+#>   120   parent      3.5 -5.940e-10  3.50000
+#>     1       M1     36.4  3.479e+01  1.61088
+#>     1       M1     37.4  3.479e+01  2.61088
+#>     3       M1     34.3  3.937e+01 -5.07027
+#>     3       M1     39.8  3.937e+01  0.42973
+#>     7       M1     15.1  1.549e+01 -0.38715
+#>     7       M1     17.8  1.549e+01  2.31285
+#>    14       M1      5.8  1.995e+00  3.80469
+#>    14       M1      1.2  1.995e+00 -0.79531
+#>    60       M1      0.5  2.111e-06  0.50000
+#>    90       M1      3.2 -9.670e-10  3.20000
+#>   120       M1      1.5  7.670e-10  1.50000
+#>   120       M1      0.6  7.670e-10  0.60000
+#>     1       M2      4.8  4.455e+00  0.34517
+#>     3       M2     20.9  2.153e+01 -0.62527
+#>     3       M2     19.3  2.153e+01 -2.22527
+#>     7       M2     42.0  4.192e+01  0.07941
+#>     7       M2     43.1  4.192e+01  1.17941
+#>    14       M2     49.4  4.557e+01  3.83353
+#>    14       M2     44.3  4.557e+01 -1.26647
+#>    28       M2     34.6  3.547e+01 -0.87275
+#>    28       M2     33.0  3.547e+01 -2.47275
+#>    60       M2     18.8  1.858e+01  0.21837
+#>    60       M2     17.6  1.858e+01 -0.98163
+#>    90       M2     10.6  1.013e+01  0.47130
+#>    90       M2     10.8  1.013e+01  0.67130
+#>   120       M2      9.8  5.521e+00  4.27893
+#>   120       M2      3.3  5.521e+00 -2.22107
+# }
+
+
+
-
-
-

Developed by Johannes Ranke.

+
+

Developed by Johannes Ranke.

-

Site built with pkgdown 1.6.1.

+

Site built with pkgdown 2.0.2.

-
-
+
- - + + diff --git a/docs/reference/test_data_from_UBA_2014-1.png b/docs/reference/test_data_from_UBA_2014-1.png index 7bf0bd0f..e4fc2a4c 100644 Binary files a/docs/reference/test_data_from_UBA_2014-1.png and b/docs/reference/test_data_from_UBA_2014-1.png differ diff --git a/docs/reference/test_data_from_UBA_2014-2.png b/docs/reference/test_data_from_UBA_2014-2.png index fc1f77e0..4ce36561 100644 Binary files a/docs/reference/test_data_from_UBA_2014-2.png and b/docs/reference/test_data_from_UBA_2014-2.png differ diff --git a/docs/reference/test_data_from_UBA_2014.html b/docs/reference/test_data_from_UBA_2014.html index c0056d45..39b9becb 100644 --- a/docs/reference/test_data_from_UBA_2014.html +++ b/docs/reference/test_data_from_UBA_2014.html @@ -1,68 +1,13 @@ - - - - - - - -Three experimental datasets from two water sediment systems and one soil — test_data_from_UBA_2014 • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Three experimental datasets from two water sediment systems and one soil — test_data_from_UBA_2014 • mkin - - - - + + -
-
- -
- -
+

Three experimental datasets from two water sediment systems and one soil

@@ -149,113 +88,123 @@ software packages (Ranke, 2014).

- 
test_data_from_UBA_2014
+
+ 
test_data_from_UBA_2014
+
+
+

Format

+

A list containing three datasets as an R6 class defined by mkinds. + Each dataset has, among others, the following components

title
+

The name of the dataset, e.g. UBA_2014_WS_river

-

Format

+
data
+

A data frame with the data in the form expected by mkinfit

-

A list containing three datasets as an R6 class defined by mkinds. - Each dataset has, among others, the following components

-
title

The name of the dataset, e.g. UBA_2014_WS_river

-
data

A data frame with the data in the form expected by mkinfit

-
- -

Source

- +
+
+

Source

Ranke (2014) Prüfung und Validierung von Modellierungssoftware als Alternative zu ModelMaker 4.0, Umweltbundesamt Projektnummer 27452

+
-

Examples

- 
  # \dontrun{
-  # This is a level P-II evaluation of the dataset according to the FOCUS kinetics
-  # guidance. Due to the strong correlation of the parameter estimates, the
-  # covariance matrix is not returned. Note that level P-II evaluations are
-  # generally considered deprecated due to the frequent occurrence of such
-  # large parameter correlations, among other reasons (e.g. the adequacy of the
-  # model).
-  m_ws <- mkinmod(parent_w = mkinsub("SFO", "parent_s"),
-                  parent_s = mkinsub("SFO", "parent_w"))
-
#> Temporary DLL for differentials generated and loaded
  f_river <- mkinfit(m_ws, test_data_from_UBA_2014[[1]]$data, quiet = TRUE)
-
#> Warning: Observations with value of zero were removed from the data
  plot_sep(f_river)
-

-  summary(f_river)$bpar
-
#> Warning: Could not calculate correlation; no covariance matrix
#>                           Estimate se_notrans t value Pr(>t) Lower Upper
-#> parent_w_0             95.91998118         NA      NA     NA    NA    NA
-#> k_parent_w              0.41145375         NA      NA     NA    NA    NA
-#> k_parent_s              0.04663944         NA      NA     NA    NA    NA
-#> f_parent_w_to_parent_s  0.12467894         NA      NA     NA    NA    NA
-#> f_parent_s_to_parent_w  0.50000000         NA      NA     NA    NA    NA
-#> sigma                   3.13612618         NA      NA     NA    NA    NA
  mkinerrmin(f_river)
-
#>            err.min n.optim df
-#> All data 0.1090929       5  6
-#> parent_w 0.0817436       3  3
-#> parent_s 0.1619965       2  3

-  # This is the evaluation used for the validation of software packages
-  # in the expertise from 2014
-  m_soil <- mkinmod(parent = mkinsub("SFO", c("M1", "M2")),
-                    M1 = mkinsub("SFO", "M3"),
-                    M2 = mkinsub("SFO", "M3"),
-                    M3 = mkinsub("SFO"),
-                    use_of_ff = "max")
-
#> Temporary DLL for differentials generated and loaded

-  f_soil <- mkinfit(m_soil, test_data_from_UBA_2014[[3]]$data, quiet = TRUE)
-
#> Warning: Observations with value of zero were removed from the data
  plot_sep(f_soil, lpos = c("topright", "topright", "topright", "bottomright"))
-
  summary(f_soil)$bpar
-
#>                   Estimate  se_notrans    t value       Pr(>t)        Lower
-#> parent_0       76.55425650 0.859186399 89.1008710 1.113861e-26 74.755959418
-#> k_parent        0.12081956 0.004601918 26.2541722 1.077359e-16  0.111561575
-#> k_M1            0.84258615 0.806160102  1.0451846 1.545268e-01  0.113779609
-#> k_M2            0.04210880 0.017083034  2.4649483 1.170188e-02  0.018013857
-#> k_M3            0.01122918 0.007245856  1.5497385 6.885052e-02  0.002909431
-#> f_parent_to_M1  0.32240200 0.240783943  1.3389680 9.819076e-02           NA
-#> f_parent_to_M2  0.16099855 0.033691952  4.7785464 6.531136e-05           NA
-#> f_M1_to_M3      0.27921507 0.269423780  1.0363416 1.565267e-01  0.022978205
-#> f_M2_to_M3      0.55641252 0.595119966  0.9349586 1.807707e-01  0.008002509
-#> sigma           1.14005399 0.149696423  7.6157731 1.727024e-07  0.826735778
-#>                      Upper
-#> parent_0       78.35255358
-#> k_parent        0.13084582
-#> k_M1            6.23970702
-#> k_M2            0.09843260
-#> k_M3            0.04333992
-#> f_parent_to_M1          NA
-#> f_parent_to_M2          NA
-#> f_M1_to_M3      0.86450775
-#> f_M2_to_M3      0.99489895
-#> sigma           1.45337221
  mkinerrmin(f_soil)
-
#>             err.min n.optim df
-#> All data 0.09649963       9 20
-#> parent   0.04721283       2  6
-#> M1       0.26551208       2  5
-#> M2       0.20327575       2  5
-#> M3       0.05196550       3  4
  # }
-
+
+

Examples

+ 
  # \dontrun{
+  # This is a level P-II evaluation of the dataset according to the FOCUS kinetics
+  # guidance. Due to the strong correlation of the parameter estimates, the
+  # covariance matrix is not returned. Note that level P-II evaluations are
+  # generally considered deprecated due to the frequent occurrence of such
+  # large parameter correlations, among other reasons (e.g. the adequacy of the
+  # model).
+  m_ws <- mkinmod(parent_w = mkinsub("SFO", "parent_s"),
+                  parent_s = mkinsub("SFO", "parent_w"))
+#> Temporary DLL for differentials generated and loaded
+  f_river <- mkinfit(m_ws, test_data_from_UBA_2014[[1]]$data, quiet = TRUE)
+  plot_sep(f_river)
+
+
+  summary(f_river)$bpar
+#>                           Estimate se_notrans t value Pr(>t) Lower Upper
+#> parent_w_0             95.91998118         NA      NA     NA    NA    NA
+#> k_parent_w              0.41145375         NA      NA     NA    NA    NA
+#> k_parent_s              0.04663944         NA      NA     NA    NA    NA
+#> f_parent_w_to_parent_s  0.12467894         NA      NA     NA    NA    NA
+#> f_parent_s_to_parent_w  0.50000000         NA      NA     NA    NA    NA
+#> sigma                   3.13612618         NA      NA     NA    NA    NA
+  mkinerrmin(f_river)
+#>            err.min n.optim df
+#> All data 0.1090929       5  6
+#> parent_w 0.0817436       3  3
+#> parent_s 0.1619965       2  3
+
+  # This is the evaluation used for the validation of software packages
+  # in the expertise from 2014
+  m_soil <- mkinmod(parent = mkinsub("SFO", c("M1", "M2")),
+                    M1 = mkinsub("SFO", "M3"),
+                    M2 = mkinsub("SFO", "M3"),
+                    M3 = mkinsub("SFO"),
+                    use_of_ff = "max")
+#> Temporary DLL for differentials generated and loaded
+
+  f_soil <- mkinfit(m_soil, test_data_from_UBA_2014[[3]]$data, quiet = TRUE)
+  plot_sep(f_soil, lpos = c("topright", "topright", "topright", "bottomright"))
+
+  summary(f_soil)$bpar
+#>                   Estimate  se_notrans    t value       Pr(>t)        Lower
+#> parent_0       76.55425650 0.859186399 89.1008710 1.113861e-26 74.755959418
+#> k_parent        0.12081956 0.004601918 26.2541722 1.077359e-16  0.111561575
+#> k_M1            0.84258615 0.806160102  1.0451846 1.545268e-01  0.113779609
+#> k_M2            0.04210880 0.017083034  2.4649483 1.170188e-02  0.018013857
+#> k_M3            0.01122918 0.007245856  1.5497385 6.885052e-02  0.002909431
+#> f_parent_to_M1  0.32240200 0.240783943  1.3389680 9.819076e-02           NA
+#> f_parent_to_M2  0.16099855 0.033691952  4.7785464 6.531136e-05           NA
+#> f_M1_to_M3      0.27921507 0.269423780  1.0363416 1.565267e-01  0.022978205
+#> f_M2_to_M3      0.55641252 0.595119966  0.9349586 1.807707e-01  0.008002509
+#> sigma           1.14005399 0.149696423  7.6157731 1.727024e-07  0.826735778
+#>                      Upper
+#> parent_0       78.35255358
+#> k_parent        0.13084582
+#> k_M1            6.23970702
+#> k_M2            0.09843260
+#> k_M3            0.04333992
+#> f_parent_to_M1          NA
+#> f_parent_to_M2          NA
+#> f_M1_to_M3      0.86450775
+#> f_M2_to_M3      0.99489895
+#> sigma           1.45337221
+  mkinerrmin(f_soil)
+#>             err.min n.optim df
+#> All data 0.09649963       9 20
+#> parent   0.04721283       2  6
+#> M1       0.26551208       2  5
+#> M2       0.20327575       2  5
+#> M3       0.05196550       3  4
+  # }
+
+
+
-
-
-

Developed by Johannes Ranke.

+
+

Developed by Johannes Ranke.

-

Site built with pkgdown 1.6.1.

+

Site built with pkgdown 2.0.2.

-
-
+
- - + + diff --git a/docs/reference/tffm0.html b/docs/reference/tffm0.html new file mode 100644 index 00000000..bc033fb3 --- /dev/null +++ b/docs/reference/tffm0.html @@ -0,0 +1,165 @@ + +Transform formation fractions as in the first published mkin version — tffm0 • mkin + + +
+
+ + + +
+
+
+

Transform formation fractions as in the first published mkin version

+ Source: R/tffm0.R + +
+ +
+

This transformation was used originally in mkin, in order to implement a +constraint for the sum of formation fractions to be smaller than 1. It was +later replaced by the ilr transformation because the ilr transformed +fractions can assumed to follow normal distribution. As the ilr +transformation is not available in RxODE and can therefore not be used in +the nlmixr modelling language, the original transformation is currently used +for translating mkin models with formation fractions to more than one target +compartment for fitting with nlmixr in nlmixr_model. However, this +implementation cannot be used there, as it is not accessible from RxODE.

+
+ +
+ 
tffm0(ff)
+
+invtffm0(ff_trans)
+
+ +
+

Arguments

+
ff
+

Vector of untransformed formation fractions. The sum +must be smaller or equal to one

+
ff_trans
+

Vector of transformed formation fractions that can be +restricted to the interval from 0 to 1

+
+
+

Value

+

A vector of the transformed formation fractions +A vector of backtransformed formation fractions for natural use in degradation models

+
+
+

Details

+

If the transformed formation fractions are restricted to the interval +between 0 and 1, the sum of backtransformed values is restricted +to this interval.

+
+ +
+

Examples

+ 
ff_example <- c(
+  0.10983681, 0.09035905, 0.08399383
+)
+ff_example_trans <- tffm0(ff_example)
+invtffm0(ff_example_trans)
+#> [1] 0.10983681 0.09035905 0.08399383
+
+
+
+ +
+ + +
+

Developed by Johannes Ranke.

+
+ +
+

Site built with pkgdown 2.0.2.

+
+ +
+ + + + + + + + diff --git a/docs/reference/transform_odeparms.html b/docs/reference/transform_odeparms.html index bbaad91e..25d0e76b 100644 --- a/docs/reference/transform_odeparms.html +++ b/docs/reference/transform_odeparms.html @@ -1,72 +1,17 @@ - - - - - - - -Functions to transform and backtransform kinetic parameters for fitting — transform_odeparms • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Functions to transform and backtransform kinetic parameters for fitting — transform_odeparms • mkin - - - - - - - - - - - - - + + -
-
- -
- -
+

Functions to transform and backtransform kinetic parameters for fitting

- Source: R/transform_odeparms.R + Source: R/transform_odeparms.R
@@ -154,205 +93,210 @@ restricted values to the full scale of real numbers. For kinetic rate constants and other parameters that can only take on positive values, a simple log transformation is used. For compositional parameters, such as the formations fractions that should always sum up to 1 and can not be negative, -the ilr transformation is used.

+the ilr transformation is used.

- 
transform_odeparms(
-  parms,
-  mkinmod,
-  transform_rates = TRUE,
-  transform_fractions = TRUE
-)
-
-backtransform_odeparms(
-  transparms,
-  mkinmod,
-  transform_rates = TRUE,
-  transform_fractions = TRUE
-)
+
+ 
transform_odeparms(
+  parms,
+  mkinmod,
+  transform_rates = TRUE,
+  transform_fractions = TRUE
+)
+
+backtransform_odeparms(
+  transparms,
+  mkinmod,
+  transform_rates = TRUE,
+  transform_fractions = TRUE
+)
+
-

Arguments

- - - - - - - - - - - - - - - - - - - - - - -
parms

Parameters of kinetic models as used in the differential -equations.

mkinmod

The kinetic model of class mkinmod, containing +

+

Arguments

+
parms
+

Parameters of kinetic models as used in the differential +equations.

+
mkinmod
+

The kinetic model of class mkinmod, containing the names of the model variables that are needed for grouping the -formation fractions before ilr transformation, the parameter -names and the information if the pathway to sink is included in the model.

transform_rates

Boolean specifying if kinetic rate constants should +formation fractions before ilr transformation, the parameter +names and the information if the pathway to sink is included in the model.

+
transform_rates
+

Boolean specifying if kinetic rate constants should be transformed in the model specification used in the fitting for better compliance with the assumption of normal distribution of the estimator. If TRUE, also alpha and beta parameters of the FOMC model are log-transformed, as well as k1 and k2 rate constants for the DFOP and HS -models and the break point tb of the HS model.

transform_fractions

Boolean specifying if formation fractions +models and the break point tb of the HS model.

+
transform_fractions
+

Boolean specifying if formation fractions constants should be transformed in the model specification used in the fitting for better compliance with the assumption of normal distribution of the estimator. The default (TRUE) is to do transformations. The g parameter of the DFOP model is also seen as a fraction. If a single fraction is transformed (g parameter of DFOP or only a single target variable e.g. a single metabolite plus a pathway to sink), a -logistic transformation is used stats::qlogis(). In other cases, i.e. if +logistic transformation is used stats::qlogis(). In other cases, i.e. if two or more formation fractions need to be transformed whose sum cannot -exceed one, the ilr transformation is used.

transparms

Transformed parameters of kinetic models as used in the -fitting procedure.

- -

Value

- +exceed one, the ilr transformation is used.

+
transparms
+

Transformed parameters of kinetic models as used in the +fitting procedure.

+
+
+

Value

A vector of transformed or backtransformed parameters

-

Details

- +
+
+

Details

The transformation of sets of formation fractions is fragile, as it supposes the same ordering of the components in forward and backward transformation. -This is no problem for the internal use in mkinfit.

-

Author

- +This is no problem for the internal use in mkinfit.

+
+
+

Author

Johannes Ranke

+
-

Examples

- 

-SFO_SFO <- mkinmod(
-  parent = list(type = "SFO", to = "m1", sink = TRUE),
-  m1 = list(type = "SFO"), use_of_ff = "min")
-
#> Temporary DLL for differentials generated and loaded

-# Fit the model to the FOCUS example dataset D using defaults
-FOCUS_D <- subset(FOCUS_2006_D, value != 0) # remove zero values to avoid warning
-fit <- mkinfit(SFO_SFO, FOCUS_D, quiet = TRUE)
-fit.s <- summary(fit)
-# Transformed and backtransformed parameters
-print(fit.s$par, 3)
-
#>                   Estimate Std. Error Lower  Upper
-#> parent_0             99.60     1.5702 96.40 102.79
-#> log_k_parent_sink    -3.04     0.0763 -3.19  -2.88
-#> log_k_parent_m1      -2.98     0.0403 -3.06  -2.90
-#> log_k_m1_sink        -5.25     0.1332 -5.52  -4.98
-#> sigma                 3.13     0.3585  2.40   3.85
print(fit.s$bpar, 3)
-
#>               Estimate se_notrans t value   Pr(>t)    Lower    Upper
-#> parent_0      99.59848    1.57022   63.43 2.30e-36 96.40384 102.7931
-#> k_parent_sink  0.04792    0.00365   13.11 6.13e-15  0.04103   0.0560
-#> k_parent_m1    0.05078    0.00205   24.80 3.27e-23  0.04678   0.0551
-#> k_m1_sink      0.00526    0.00070    7.51 6.16e-09  0.00401   0.0069
-#> sigma          3.12550    0.35852    8.72 2.24e-10  2.39609   3.8549

-# \dontrun{
-# Compare to the version without transforming rate parameters (does not work
-# with analytical solution, we get NA values for m1 in predictions)
-fit.2 <- mkinfit(SFO_SFO, FOCUS_D, transform_rates = FALSE,
-  solution_type = "deSolve", quiet = TRUE)
-fit.2.s <- summary(fit.2)
-print(fit.2.s$par, 3)
-
#>               Estimate Std. Error    Lower    Upper
-#> parent_0      99.59848    1.57022 96.40384 1.03e+02
-#> k_parent_sink  0.04792    0.00365  0.04049 5.54e-02
-#> k_parent_m1    0.05078    0.00205  0.04661 5.49e-02
-#> k_m1_sink      0.00526    0.00070  0.00384 6.69e-03
-#> sigma          3.12550    0.35852  2.39609 3.85e+00
print(fit.2.s$bpar, 3)
-
#>               Estimate se_notrans t value   Pr(>t)    Lower    Upper
-#> parent_0      99.59848    1.57022   63.43 2.30e-36 96.40384 1.03e+02
-#> k_parent_sink  0.04792    0.00365   13.11 6.13e-15  0.04049 5.54e-02
-#> k_parent_m1    0.05078    0.00205   24.80 3.27e-23  0.04661 5.49e-02
-#> k_m1_sink      0.00526    0.00070    7.51 6.16e-09  0.00384 6.69e-03
-#> sigma          3.12550    0.35852    8.72 2.24e-10  2.39609 3.85e+00
# }
-
-initials <- fit$start$value
-names(initials) <- rownames(fit$start)
-transformed <- fit$start_transformed$value
-names(transformed) <- rownames(fit$start_transformed)
-transform_odeparms(initials, SFO_SFO)
-
#>          parent_0 log_k_parent_sink   log_k_parent_m1     log_k_m1_sink 
-#>        100.750000         -2.302585         -2.301586         -2.300587 
backtransform_odeparms(transformed, SFO_SFO)
-
#>      parent_0 k_parent_sink   k_parent_m1     k_m1_sink 
-#>      100.7500        0.1000        0.1001        0.1002 

-# \dontrun{
-# The case of formation fractions (this is now the default)
-SFO_SFO.ff <- mkinmod(
-  parent = list(type = "SFO", to = "m1", sink = TRUE),
-  m1 = list(type = "SFO"),
-  use_of_ff = "max")
-
#> Temporary DLL for differentials generated and loaded

-fit.ff <- mkinfit(SFO_SFO.ff, FOCUS_D, quiet = TRUE)
-fit.ff.s <- summary(fit.ff)
-print(fit.ff.s$par, 3)
-
#>                 Estimate Std. Error  Lower  Upper
-#> parent_0         99.5985     1.5702 96.404 102.79
-#> log_k_parent     -2.3157     0.0409 -2.399  -2.23
-#> log_k_m1         -5.2475     0.1332 -5.518  -4.98
-#> f_parent_qlogis   0.0579     0.0893 -0.124   0.24
-#> sigma             3.1255     0.3585  2.396   3.85
print(fit.ff.s$bpar, 3)
-
#>                Estimate se_notrans t value   Pr(>t)    Lower    Upper
-#> parent_0       99.59848    1.57022   63.43 2.30e-36 96.40383 102.7931
-#> k_parent        0.09870    0.00403   24.47 4.96e-23  0.09082   0.1073
-#> k_m1            0.00526    0.00070    7.51 6.16e-09  0.00401   0.0069
-#> f_parent_to_m1  0.51448    0.02230   23.07 3.10e-22  0.46912   0.5596
-#> sigma           3.12550    0.35852    8.72 2.24e-10  2.39609   3.8549
initials <- c("f_parent_to_m1" = 0.5)
-transformed <- transform_odeparms(initials, SFO_SFO.ff)
-backtransform_odeparms(transformed, SFO_SFO.ff)
-
#> f_parent_to_m1 
-#>            0.5 

-# And without sink
-SFO_SFO.ff.2 <- mkinmod(
-  parent = list(type = "SFO", to = "m1", sink = FALSE),
-  m1 = list(type = "SFO"),
-  use_of_ff = "max")
-
#> Temporary DLL for differentials generated and loaded

-
-fit.ff.2 <- mkinfit(SFO_SFO.ff.2, FOCUS_D, quiet = TRUE)
-fit.ff.2.s <- summary(fit.ff.2)
-print(fit.ff.2.s$par, 3)
-
#>              Estimate Std. Error Lower Upper
-#> parent_0        84.79      3.012 78.67 90.91
-#> log_k_parent    -2.76      0.082 -2.92 -2.59
-#> log_k_m1        -4.21      0.123 -4.46 -3.96
-#> sigma            8.22      0.943  6.31 10.14
print(fit.ff.2.s$bpar, 3)
-
#>          Estimate se_notrans t value   Pr(>t)   Lower  Upper
-#> parent_0  84.7916    3.01203   28.15 1.92e-25 78.6704 90.913
-#> k_parent   0.0635    0.00521   12.19 2.91e-14  0.0538  0.075
-#> k_m1       0.0148    0.00182    8.13 8.81e-10  0.0115  0.019
-#> sigma      8.2229    0.94323    8.72 1.73e-10  6.3060 10.140
# }
-
-
+
+

Examples

+ 

+SFO_SFO <- mkinmod(
+  parent = list(type = "SFO", to = "m1", sink = TRUE),
+  m1 = list(type = "SFO"), use_of_ff = "min")
+#> Temporary DLL for differentials generated and loaded
+
+# Fit the model to the FOCUS example dataset D using defaults
+FOCUS_D <- subset(FOCUS_2006_D, value != 0) # remove zero values to avoid warning
+fit <- mkinfit(SFO_SFO, FOCUS_D, quiet = TRUE)
+fit.s <- summary(fit)
+# Transformed and backtransformed parameters
+print(fit.s$par, 3)
+#>                   Estimate Std. Error Lower  Upper
+#> parent_0             99.60     1.5702 96.40 102.79
+#> log_k_parent_sink    -3.04     0.0763 -3.19  -2.88
+#> log_k_parent_m1      -2.98     0.0403 -3.06  -2.90
+#> log_k_m1_sink        -5.25     0.1332 -5.52  -4.98
+#> sigma                 3.13     0.3585  2.40   3.85
+print(fit.s$bpar, 3)
+#>               Estimate se_notrans t value   Pr(>t)    Lower    Upper
+#> parent_0      99.59848    1.57022   63.43 2.30e-36 96.40384 102.7931
+#> k_parent_sink  0.04792    0.00365   13.11 6.13e-15  0.04103   0.0560
+#> k_parent_m1    0.05078    0.00205   24.80 3.27e-23  0.04678   0.0551
+#> k_m1_sink      0.00526    0.00070    7.51 6.16e-09  0.00401   0.0069
+#> sigma          3.12550    0.35852    8.72 2.24e-10  2.39609   3.8549
+
+# \dontrun{
+# Compare to the version without transforming rate parameters (does not work
+# with analytical solution, we get NA values for m1 in predictions)
+fit.2 <- mkinfit(SFO_SFO, FOCUS_D, transform_rates = FALSE,
+  solution_type = "deSolve", quiet = TRUE)
+fit.2.s <- summary(fit.2)
+print(fit.2.s$par, 3)
+#>               Estimate Std. Error    Lower    Upper
+#> parent_0      99.59848    1.57022 96.40384 1.03e+02
+#> k_parent_sink  0.04792    0.00365  0.04049 5.54e-02
+#> k_parent_m1    0.05078    0.00205  0.04661 5.49e-02
+#> k_m1_sink      0.00526    0.00070  0.00384 6.69e-03
+#> sigma          3.12550    0.35852  2.39609 3.85e+00
+print(fit.2.s$bpar, 3)
+#>               Estimate se_notrans t value   Pr(>t)    Lower    Upper
+#> parent_0      99.59848    1.57022   63.43 2.30e-36 96.40384 1.03e+02
+#> k_parent_sink  0.04792    0.00365   13.11 6.13e-15  0.04049 5.54e-02
+#> k_parent_m1    0.05078    0.00205   24.80 3.27e-23  0.04661 5.49e-02
+#> k_m1_sink      0.00526    0.00070    7.51 6.16e-09  0.00384 6.69e-03
+#> sigma          3.12550    0.35852    8.72 2.24e-10  2.39609 3.85e+00
+# }
+
+initials <- fit$start$value
+names(initials) <- rownames(fit$start)
+transformed <- fit$start_transformed$value
+names(transformed) <- rownames(fit$start_transformed)
+transform_odeparms(initials, SFO_SFO)
+#>          parent_0 log_k_parent_sink   log_k_parent_m1     log_k_m1_sink 
+#>        100.750000         -2.302585         -2.301586         -2.300587 
+backtransform_odeparms(transformed, SFO_SFO)
+#>      parent_0 k_parent_sink   k_parent_m1     k_m1_sink 
+#>      100.7500        0.1000        0.1001        0.1002 
+
+# \dontrun{
+# The case of formation fractions (this is now the default)
+SFO_SFO.ff <- mkinmod(
+  parent = list(type = "SFO", to = "m1", sink = TRUE),
+  m1 = list(type = "SFO"),
+  use_of_ff = "max")
+#> Temporary DLL for differentials generated and loaded
+
+fit.ff <- mkinfit(SFO_SFO.ff, FOCUS_D, quiet = TRUE)
+fit.ff.s <- summary(fit.ff)
+print(fit.ff.s$par, 3)
+#>                 Estimate Std. Error  Lower  Upper
+#> parent_0         99.5985     1.5702 96.404 102.79
+#> log_k_parent     -2.3157     0.0409 -2.399  -2.23
+#> log_k_m1         -5.2475     0.1332 -5.518  -4.98
+#> f_parent_qlogis   0.0579     0.0893 -0.124   0.24
+#> sigma             3.1255     0.3585  2.396   3.85
+print(fit.ff.s$bpar, 3)
+#>                Estimate se_notrans t value   Pr(>t)    Lower    Upper
+#> parent_0       99.59848    1.57022   63.43 2.30e-36 96.40383 102.7931
+#> k_parent        0.09870    0.00403   24.47 4.96e-23  0.09082   0.1073
+#> k_m1            0.00526    0.00070    7.51 6.16e-09  0.00401   0.0069
+#> f_parent_to_m1  0.51448    0.02230   23.07 3.10e-22  0.46912   0.5596
+#> sigma           3.12550    0.35852    8.72 2.24e-10  2.39609   3.8549
+initials <- c("f_parent_to_m1" = 0.5)
+transformed <- transform_odeparms(initials, SFO_SFO.ff)
+backtransform_odeparms(transformed, SFO_SFO.ff)
+#> f_parent_to_m1 
+#>            0.5 
+
+# And without sink
+SFO_SFO.ff.2 <- mkinmod(
+  parent = list(type = "SFO", to = "m1", sink = FALSE),
+  m1 = list(type = "SFO"),
+  use_of_ff = "max")
+#> Temporary DLL for differentials generated and loaded
+
+
+fit.ff.2 <- mkinfit(SFO_SFO.ff.2, FOCUS_D, quiet = TRUE)
+fit.ff.2.s <- summary(fit.ff.2)
+print(fit.ff.2.s$par, 3)
+#>              Estimate Std. Error Lower Upper
+#> parent_0        84.79      3.012 78.67 90.91
+#> log_k_parent    -2.76      0.082 -2.92 -2.59
+#> log_k_m1        -4.21      0.123 -4.46 -3.96
+#> sigma            8.22      0.943  6.31 10.14
+print(fit.ff.2.s$bpar, 3)
+#>          Estimate se_notrans t value   Pr(>t)   Lower  Upper
+#> parent_0  84.7916    3.01203   28.15 1.92e-25 78.6704 90.913
+#> k_parent   0.0635    0.00521   12.19 2.91e-14  0.0538  0.075
+#> k_m1       0.0148    0.00182    8.13 8.81e-10  0.0115  0.019
+#> sigma      8.2229    0.94323    8.72 1.73e-10  6.3060 10.140
+# }
+
+
+
+
- - - + + diff --git a/docs/reference/update.mkinfit-1.png b/docs/reference/update.mkinfit-1.png index df8473c1..12fe1f5b 100644 Binary files a/docs/reference/update.mkinfit-1.png and b/docs/reference/update.mkinfit-1.png differ diff --git a/docs/reference/update.mkinfit-2.png b/docs/reference/update.mkinfit-2.png index 13c99b44..21817f94 100644 Binary files a/docs/reference/update.mkinfit-2.png and b/docs/reference/update.mkinfit-2.png differ diff --git a/docs/reference/update.mkinfit.html b/docs/reference/update.mkinfit.html index 09050e53..036283d5 100644 --- a/docs/reference/update.mkinfit.html +++ b/docs/reference/update.mkinfit.html @@ -1,70 +1,15 @@ - - - - - - - -Update an mkinfit model with different arguments — update.mkinfit • mkin - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Update an mkinfit model with different arguments — update.mkinfit • mkin - - - - - - - - - - - + + - - -
-
- -
- -
+

Update an mkinfit model with different arguments

- Source: R/update.mkinfit.R + Source: R/update.mkinfit.R
@@ -153,66 +92,62 @@ updated fit. Values specified as 'parms.ini' and/or 'state.ini' will override these starting values.

- 
# S3 method for mkinfit
-update(object, ..., evaluate = TRUE)
- -

Arguments

- - - - - - - - - - - - - - -
object

An mkinfit object to be updated

...

Arguments to mkinfit that should replace +

+ 
# S3 method for mkinfit
+update(object, ..., evaluate = TRUE)
+
+ +
+

Arguments

+
object
+

An mkinfit object to be updated

+
...
+

Arguments to mkinfit that should replace the arguments from the original call. Arguments set to NULL will -remove arguments given in the original call

evaluate

Should the call be evaluated or returned as a call

- - -

Examples

- 
# \dontrun{
-fit <- mkinfit("SFO", subset(FOCUS_2006_D, value != 0), quiet = TRUE)
-parms(fit)
-
#>    parent_0    k_parent       sigma 
-#> 99.44423885  0.09793574  3.39632469 
plot_err(fit)
-
fit_2 <- update(fit, error_model = "tc")
-parms(fit_2)
-
#>     parent_0     k_parent    sigma_low     rsd_high 
-#> 1.008549e+02 1.005665e-01 3.752222e-03 6.763434e-02 
plot_err(fit_2)
-
# }
-
+remove arguments given in the original call

+
evaluate
+

Should the call be evaluated or returned as a call

+
+ +
+

Examples

+ 
# \dontrun{
+fit <- mkinfit("SFO", subset(FOCUS_2006_D, value != 0), quiet = TRUE)
+parms(fit)
+#>    parent_0    k_parent       sigma 
+#> 99.44423885  0.09793574  3.39632469 
+plot_err(fit)
+
+fit_2 <- update(fit, error_model = "tc")
+parms(fit_2)
+#>     parent_0     k_parent    sigma_low     rsd_high 
+#> 1.008549e+02 1.005665e-01 3.752222e-03 6.763434e-02 
+plot_err(fit_2)
+
+# }
+
+
+
- - - + + -- cgit v1.2.1