FOCEi fit

foceiFit(data, ...)

focei.fit(data, ...)

# S3 method for data.frame
foceiFit(data, ...)

# S3 method for data.frame0
foceiFit(
  data,
  inits,
  PKpars,
  model = NULL,
  pred = NULL,
  err = NULL,
  lower = -Inf,
  upper = Inf,
  fixed = NULL,
  skipCov = NULL,
  control = foceiControl(),
  thetaNames = NULL,
  etaNames = NULL,
  etaMat = NULL,
  ...,
  env = NULL,
  keep = NULL,
  drop = NULL
)

Arguments

data

Data to fit; Needs to be RxODE compatible and have DV, AMT, EVID in the dataset.

...

Ignored parameters

inits

Initialization list

PKpars

Pk Parameters function

model

The RxODE model to use

pred

The Prediction function

err

The Error function

lower

Lower bounds

upper

Upper Bounds

fixed

Boolean vector indicating what parameters should be fixed.

skipCov

Boolean vector indicating what parameters should be fixed when calculating covariances

control

FOCEi options Control list. See foceiControl

thetaNames

Names of the thetas to be used in the final object.

etaNames

Eta names to be used in the final object.

etaMat

Eta matrix for initial estimates or final estimates of the ETAs.

env

An environment used to build the FOCEi or nlmixr object.

keep

Columns to keep from either the input dataset. For the input dataset, if any records are added to the data LOCF (Last Observation Carried forward) imputation is performed.

drop

Columns to drop from the output

Value

A focei fit or nlmixr fit object FOCEi fit object

Author

Matthew L. Fidler and Wenping Wang

Examples


# \donttest{

## Comparison to Wang2007 objective functions

mypar2 = function ()
{
    k = theta[1] * exp(eta[1]);
}

mod <- RxODE({
    ipre = 10 * exp(-k * t)
})
#>  
pred <- function() ipre

errProp <- function(){
  return(prop(0.1))
}

inits <- list(THTA=c(0.5),
              OMGA=list(ETA[1] ~ 0.04));

w7 <- Wang2007

w7$DV <- w7$Y
w7$EVID <- 0
w7$AMT <- 0

## Wang2007 prop error OBF 39.458 for NONMEM FOCEi, nlmixr matches.
fitPi <- foceiFit(w7, inits, mypar2,mod,pred,errProp,
     control=foceiControl(maxOuterIterations=0,covMethod=""))
#> → 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 ∂(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 residuals/tables
#> done
#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))

print(fitPi$objective)
#> [1] 39.45755

## Wang2007 prop error OBF 39.207 for NONMEM FOCE; nlmixr matches.
fitP <- foceiFit(w7, inits, mypar2,mod,pred,errProp,
     control=foceiControl(maxOuterIterations=0,covMethod="",
     interaction=FALSE))
#> → 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 ∂(f)/∂(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 residuals/tables
#> done
#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))

print(fitP$objective)
#> [1] 39.20672

## Wang 2007 prop error OBF 39.213 for NONMEM FO; nlmixr matches
fitPfo <- foceiFit(w7, inits, mypar2,mod,pred,errProp,
     control=foceiControl(maxOuterIterations=0,covMethod="",
     fo=TRUE))
#> Calculating residuals/tables
#> done

print(fitPfo$objective)
#> [1] 39.21322

## Note if you have the etas you can evaluate the likelihood
## of an arbitrary model.  It doesn't have to be solved by
## FOCEi

etaMat <- matrix(fitPi$eta[,-1])

fitP2 <- foceiFit(w7, inits, mypar2,mod,pred,errProp, etaMat=etaMat,
      control=foceiControl(maxOuterIterations=0,maxInnerIterations=0,
      covMethod=""))
#> Calculating residuals/tables
#> done


errAdd <- function(){
  return(add(0.1))
}

## Wang2007 add error of -2.059 for NONMEM FOCE=NONMEM FOCEi;
## nlmixr matches.
fitA <- foceiFit(w7, inits, mypar2,mod,pred,errAdd,
     control=foceiControl(maxOuterIterations=0,covMethod=""))
#> → 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 ∂(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 residuals/tables
#> done
#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))

## Wang2007 add error of 0.026 for NONMEM FO; nlmixr matches

fitAfo <- foceiFit(w7, inits, mypar2,mod,pred,errAdd,
     control=foceiControl(maxOuterIterations=0,fo=TRUE,covMethod=""))
#> Calculating residuals/tables
#> done

## Extending Wang2007 to add+prop with same dataset
errAddProp <- function(){
  return(add(0.1) + prop(0.1));
}

fitAP <- foceiFit(w7, inits, mypar2,mod,pred,errAddProp,
     control=foceiControl(maxOuterIterations=0,covMethod=""))
#> → 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 ∂(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 residuals/tables
#> done
#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))

## Checking lognormal

errLogn <- function(){
   return(lnorm(0.1));
}

## First run the fit with the nlmixr lnorm error

fitLN <- foceiFit(w7, inits, mypar2,mod,pred,errLogn,
     control=foceiControl(maxOuterIterations=0,covMethod=""))
#> → 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 ∂(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 residuals/tables
#> done
#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))


## Next run on the log-transformed space
w72 <- w7; w72$DV <- log(w72$DV)

predL <- function() log(ipre)

fitLN2 <- foceiFit(w72, inits, mypar2,mod,predL,errAdd,
     control=foceiControl(maxOuterIterations=0,covMethod=""))
#> → 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 ∂(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 residuals/tables
#> done
#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))

## Correct the fitLN2's objective function to be on the normal scale
print(fitLN2$objective + 2*sum(w72$DV))
#> [1] 40.03872

## Note the objective function of the lognormal error is on the normal scale.
print(fitLN$objective)
#> [1] 40.03872

mypar2 <- function ()
{
    ka <- exp(THETA[1] + ETA[1])
    cl <- exp(THETA[2] + ETA[2])
    v  <- exp(THETA[3] + ETA[3])
}

mod <- RxODE({
    d/dt(depot) <- -ka * depot
    d/dt(center) <- ka * depot - cl / v * center
    cp <- center / v
})
#>  

pred <- function() cp

err <- function(){
    return(add(0.1))
}

inits <- list(THTA=c(0.5, -3.2, -1),
              OMGA=list(ETA[1] ~ 1, ETA[2] ~ 2, ETA[3] ~ 1));

## Remove 0 concentrations (should be lloq)

d <- theo_sd[theo_sd$EVID==0 & theo_sd$DV>0 | theo_sd$EVID>0,];

fit1 <- foceiFit(d, inits, mypar2,mod,pred,err)
#> → 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
#> 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 |  THETA[1] |  THETA[2] |  THETA[3] |    ERR[1] |
#> |.....................|        o1 |        o2 |        o3 |...........|
#> |    1|     16296.646 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9242 |     1.000 |...........|
#> |    U|     16296.646 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |    X|     16296.646 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |    G|    Gill Diff. |-3.331e+06 |-3.184e+06 |-1.769e+08 |-5.812e+08 |
#> |.....................|-2.612e+09 |-1.269e+10 |-4.292e+10 |...........|
#> |    2|     28017.197 |    0.7620 |   -0.9999 |   0.05156 |    0.6874 |
#> |.....................|     1.058 |     1.207 |     1.957 |...........|
#> |    U|     28017.197 |    0.5001 |    -3.200 |   -0.9961 |    0.3203 |
#> |.....................|     1.058 |     1.079 |     1.957 |...........|
#> |    X|     28017.197 |     1.649 |   0.04077 |    0.3693 |    0.3203 |
#> |.....................|     1.058 |     1.079 |     1.957 |...........|
#> |    3|     26434.007 |    0.7619 |    -1.000 |   0.04959 |    0.6809 |
#> |.....................|     1.029 |     1.066 |     1.479 |...........|
#> |    U|     26434.007 |    0.5000 |    -3.200 |   -0.9980 |    0.3183 |
#> |.....................|     1.029 |    0.9599 |     1.479 |...........|
#> |    X|     26434.007 |     1.649 |   0.04076 |    0.3686 |    0.3183 |
#> |.....................|     1.029 |    0.9599 |     1.479 |...........|
#> |    4|     26020.091 |    0.7619 |    -1.000 |   0.04861 |    0.6776 |
#> |.....................|     1.015 |    0.9950 |     1.239 |...........|
#> |    U|     26020.091 |    0.5000 |    -3.200 |   -0.9990 |    0.3173 |
#> |.....................|     1.015 |    0.9004 |     1.239 |...........|
#> |    X|     26020.091 |     1.649 |   0.04076 |    0.3682 |    0.3173 |
#> |.....................|     1.015 |    0.9004 |     1.239 |...........|
#> |    5|     25877.965 |    0.7619 |    -1.000 |   0.04811 |    0.6760 |
#> |.....................|     1.007 |    0.9596 |     1.120 |...........|
#> |    U|     25877.965 |    0.5000 |    -3.200 |   -0.9995 |    0.3167 |
#> |.....................|     1.007 |    0.8706 |     1.120 |...........|
#> |    X|     25877.965 |     1.649 |   0.04076 |    0.3681 |    0.3167 |
#> |.....................|     1.007 |    0.8706 |     1.120 |...........|
#> |    6|     25817.252 |    0.7619 |    -1.000 |   0.04787 |    0.6752 |
#> |.....................|     1.004 |    0.9419 |     1.060 |...........|
#> |    U|     25817.252 |    0.5000 |    -3.200 |   -0.9998 |    0.3165 |
#> |.....................|     1.004 |    0.8558 |     1.060 |...........|
#> |    X|     25817.252 |     1.649 |   0.04076 |    0.3680 |    0.3165 |
#> |.....................|     1.004 |    0.8558 |     1.060 |...........|
#> |    7|     25786.482 |    0.7619 |    -1.000 |   0.04774 |    0.6748 |
#> |.....................|     1.002 |    0.9331 |     1.030 |...........|
#> |    U|     25786.482 |    0.5000 |    -3.200 |   -0.9999 |    0.3164 |
#> |.....................|     1.002 |    0.8483 |     1.030 |...........|
#> |    X|     25786.482 |     1.649 |   0.04076 |    0.3679 |    0.3164 |
#> |.....................|     1.002 |    0.8483 |     1.030 |...........|
#> |    8|     25768.221 |    0.7619 |    -1.000 |   0.04768 |    0.6746 |
#> |.....................|     1.001 |    0.9287 |     1.015 |...........|
#> |    U|     25768.221 |    0.5000 |    -3.200 |   -0.9999 |    0.3163 |
#> |.....................|     1.001 |    0.8446 |     1.015 |...........|
#> |    X|     25768.221 |     1.649 |   0.04076 |    0.3679 |    0.3163 |
#> |.....................|     1.001 |    0.8446 |     1.015 |...........|
#> |    9|     25755.637 |    0.7619 |    -1.000 |   0.04765 |    0.6745 |
#> |.....................|     1.000 |    0.9264 |     1.007 |...........|
#> |    U|     25755.637 |    0.5000 |    -3.200 |    -1.000 |    0.3163 |
#> |.....................|     1.000 |    0.8428 |     1.007 |...........|
#> |    X|     25755.637 |     1.649 |   0.04076 |    0.3679 |    0.3163 |
#> |.....................|     1.000 |    0.8428 |     1.007 |...........|
#> |   10|     25746.091 |    0.7619 |    -1.000 |   0.04763 |    0.6744 |
#> |.....................|     1.000 |    0.9253 |     1.004 |...........|
#> |    U|     25746.091 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8418 |     1.004 |...........|
#> |    X|     25746.091 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8418 |     1.004 |...........|
#> |   11|     25737.929 |    0.7619 |    -1.000 |   0.04763 |    0.6744 |
#> |.....................|     1.000 |    0.9248 |     1.002 |...........|
#> |    U|     25737.929 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8414 |     1.002 |...........|
#> |    X|     25737.929 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8414 |     1.002 |...........|
#> |   12|     25730.735 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9245 |     1.001 |...........|
#> |    U|     25730.735 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8411 |     1.001 |...........|
#> |    X|     25730.735 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8411 |     1.001 |...........|
#> |   13|     25723.922 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9244 |     1.000 |...........|
#> |    U|     25723.922 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8410 |     1.000 |...........|
#> |    X|     25723.922 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8410 |     1.000 |...........|
#> |   14|     25717.623 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9243 |     1.000 |...........|
#> |    U|     25717.623 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8410 |     1.000 |...........|
#> |    X|     25717.623 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8410 |     1.000 |...........|
#> |   15|     25711.474 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9243 |     1.000 |...........|
#> |    U|     25711.474 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |    X|     25711.474 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |   16|     25705.505 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9243 |     1.000 |...........|
#> |    U|     25705.505 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |    X|     25705.505 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |   17|     25699.753 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9242 |     1.000 |...........|
#> |    U|     25699.753 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |    X|     25699.753 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |   18|     25694.433 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9242 |     1.000 |...........|
#> |    U|     25694.433 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |    X|     25694.433 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |   19|     25689.271 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9242 |     1.000 |...........|
#> |    U|     25689.271 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |    X|     25689.271 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |   20|     25684.245 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9242 |     1.000 |...........|
#> |    U|     25684.245 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |    X|     25684.245 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |   21|     25679.428 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9242 |     1.000 |...........|
#> |    U|     25679.428 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |    X|     25679.428 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |   22|     25674.815 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9242 |     1.000 |...........|
#> |    U|     25674.815 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |    X|     25674.815 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |   23|     25670.503 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9242 |     1.000 |...........|
#> |    U|     25670.503 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |    X|     25670.503 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |   24|     25666.420 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9242 |     1.000 |...........|
#> |    U|      25666.42 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |    X|      25666.42 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |   25|     25662.449 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9242 |     1.000 |...........|
#> |    U|     25662.449 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |    X|     25662.449 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |   26|     25658.655 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9242 |     1.000 |...........|
#> |    U|     25658.655 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |    X|     25658.655 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |   27|     25655.138 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9242 |     1.000 |...........|
#> |    U|     25655.138 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |    X|     25655.138 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |   28|     25651.776 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9242 |     1.000 |...........|
#> |    U|     25651.776 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |    X|     25651.776 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |   29|     25647.392 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9242 |     1.000 |...........|
#> |    U|     25647.392 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |    X|     25647.392 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |   30|     25644.458 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9242 |     1.000 |...........|
#> |    U|     25644.458 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |    X|     25644.458 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |   31|     25641.733 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9242 |     1.000 |...........|
#> |    U|     25641.733 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |    X|     25641.733 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |   32|     25639.141 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9242 |     1.000 |...........|
#> |    U|     25639.141 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |    X|     25639.141 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> calculating covariance matrix
#> 
S matrix calculation failed; Switch to R-matrix covariance.
#> done
#> Calculating residuals/tables
#> done
#> Warning: tolerances (atol/rtol) were temporarily increased for some difficult ODE solving during the optimization.
#> consider increasing sigdig/atol/rtol changing initial estimates or changing the structural model
#> Warning: gradient problems with initial estimate and covariance; see $scaleInfo
#> Warning: numerical difficulties solving forward sensitivity inner problem, tried approximating with more inaccurate numeric differences
#> Warning: using R matrix to calculate covariance
#> Warning: bad solve during optimization
#> Warning: last objective function was not at minimum, possible problems in optimization
#> Warning: tolerances were reduced during Gill Gradient, so it was repeated 1/3 times
#> You can control this with foceiControl(repeatGillMax=.)
#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))
#> Warning: Hessian reset during optimization; (can control by foceiControl(resetHessianAndEta=.))

## you can also fit lognormal data with the objective function on the same scale

errl <- function(){
    return(lnorm(0.1))
}

fit2 <- foceiFit(d, inits, mypar2,mod,pred,errl)
#> → 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
#> 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 |  THETA[1] |  THETA[2] |  THETA[3] |    ERR[1] |
#> |.....................|        o1 |        o2 |        o3 |...........|
#> |    1|     39934.019 |    0.7619 |    -1.000 |   0.04762 |    0.6744 |
#> |.....................|     1.000 |    0.9242 |     1.000 |...........|
#> |    U|     39934.019 |    0.5000 |    -3.200 |    -1.000 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |    X|     39934.019 |     1.649 |   0.04076 |    0.3679 |    0.3162 |
#> |.....................|     1.000 |    0.8409 |     1.000 |...........|
#> |    G|    Gill Diff. |     907.7 |    -734.6 |    -754.0 |-7.853e+04 |
#> |.....................|     180.7 |     281.1 |     562.7 |...........|
#> |    2|     10452.292 |    0.7503 |   -0.9906 |   0.05722 |     1.674 |
#> |.....................|    0.9977 |    0.9207 |    0.9928 |...........|
#> |    U|     10452.292 |    0.4884 |    -3.191 |   -0.9904 |    0.6324 |
#> |.....................|    0.9977 |    0.8379 |    0.9928 |...........|
#> |    X|     10452.292 |     1.630 |   0.04115 |    0.3714 |    0.6324 |
#> |.....................|    0.9977 |    0.8379 |    0.9928 |...........|
#> |    M|   Mixed Diff. |     110.4 |    -215.6 |    -225.8 |    -9762. |
#> |.....................|    -1766. |    -1796. |    -1612. |...........|
#> |    3|     9501.1243 |    0.7487 |   -0.9490 |    0.1014 |     1.882 |
#> |.....................|     1.568 |     1.505 |     1.528 |...........|
#> |    U|     9501.1243 |    0.4868 |    -3.149 |   -0.9462 |    0.6981 |
#> |.....................|     1.568 |     1.329 |     1.528 |...........|
#> |    X|     9501.1243 |     1.627 |   0.04289 |    0.3882 |    0.6981 |
#> |.....................|     1.568 |     1.329 |     1.528 |...........|
#> |    F| Forward Diff. |     316.0 |    -362.1 |    -303.1 |    -7470. |
#> |.....................|     842.5 |     869.9 |     309.7 |...........|
#> |    4|     4988.0442 |    0.7071 |   -0.9013 |    0.1413 |     2.866 |
#> |.....................|     1.457 |     1.390 |     1.488 |...........|
#> |    U|     4988.0442 |    0.4452 |    -3.101 |   -0.9063 |     1.009 |
#> |.....................|     1.457 |     1.233 |     1.488 |...........|
#> |    X|     4988.0442 |     1.561 |   0.04499 |    0.4040 |     1.009 |
#> |.....................|     1.457 |     1.233 |     1.488 |...........|
#> |    M|   Mixed Diff. |     150.4 |    -204.6 |    -198.6 |    -7321. |
#> |.....................|    -7286. |    -7256. |    -7130. |...........|
#> |    5|     3460.3162 |    0.4168 |   -0.6925 |    0.2697 |     3.506 |
#> |.....................|     1.393 |     1.235 |     2.133 |...........|
#> |    U|     3460.3162 |    0.1549 |    -2.892 |   -0.7779 |     1.212 |
#> |.....................|     1.393 |     1.102 |     2.133 |...........|
#> |    X|     3460.3162 |     1.167 |   0.05544 |    0.4593 |     1.212 |
#> |.....................|     1.393 |     1.102 |     2.133 |...........|
#> |    M|   Mixed Diff. |     168.7 |    -139.4 |    -40.96 |    -4780. |
#> |.....................|    -5994. |    -6491. |    -4966. |...........|
#> |    6|     2908.7479 |    0.3867 |   -0.6676 |    0.2770 |     4.359 |
#> |.....................|     2.462 |     2.393 |     3.019 |...........|
#> |    U|     2908.7479 |    0.1248 |    -2.868 |   -0.7706 |     1.481 |
#> |.....................|     2.462 |     2.076 |     3.019 |...........|
#> |    X|     2908.7479 |     1.133 |   0.05684 |    0.4627 |     1.481 |
#> |.....................|     2.462 |     2.076 |     3.019 |...........|
#> |    F| Forward Diff. |    -3393. |    -3181. |    -3815. |    -1839. |
#> |.....................|    -1382. |    -1261. |    -304.4 |...........|
#> |    7|     2546.9141 |    0.9032 |   -0.1834 |    0.8577 |     4.639 |
#> |.....................|     2.673 |     2.585 |     3.066 |...........|
#> |    U|     2546.9141 |    0.6413 |    -2.383 |   -0.1899 |     1.570 |
#> |.....................|     2.673 |     2.238 |     3.066 |...........|
#> |    X|     2546.9141 |     1.899 |   0.09223 |    0.8270 |     1.570 |
#> |.....................|     2.673 |     2.238 |     3.066 |...........|
#> |    F| Forward Diff. |     48.65 |    -236.5 |    -84.70 |    -767.4 |
#> |.....................|     1.138 |     54.81 |     2.055 |...........|
#> |    8|     2195.3155 |    0.8732 |  -0.03761 |    0.9099 |     5.112 |
#> |.....................|     2.672 |     2.552 |     3.064 |...........|
#> |    U|     2195.3155 |    0.6113 |    -2.238 |   -0.1377 |     1.720 |
#> |.....................|     2.672 |     2.209 |     3.064 |...........|
#> |    X|     2195.3155 |     1.843 |    0.1067 |    0.8714 |     1.720 |
#> |.....................|     2.672 |     2.209 |     3.064 |...........|
#> |    9|     1683.8275 |    0.2325 |    0.9417 |    0.9254 |     5.961 |
#> |.....................|     2.628 |     2.490 |     2.802 |...........|
#> |    U|     1683.8275 |  -0.02938 |    -1.258 |   -0.1222 |     1.988 |
#> |.....................|     2.628 |     2.157 |     2.802 |...........|
#> |    X|     1683.8275 |    0.9710 |    0.2841 |    0.8850 |     1.988 |
#> |.....................|     2.628 |     2.157 |     2.802 |...........|
#> |    F| Forward Diff. |    -367.4 |    -278.5 |    -366.2 |    -396.0 |
#> |.....................|    -136.0 |    -148.3 |    -128.7 |...........|
#> |   10|     1365.3526 |     1.157 |     1.642 |     1.847 |     6.957 |
#> |.....................|     2.970 |     2.863 |     3.126 |...........|
#> |    U|     1365.3526 |    0.8949 |   -0.5576 |    0.7991 |     2.303 |
#> |.....................|     2.970 |     2.471 |     3.126 |...........|
#> |    X|     1365.3526 |     2.447 |    0.5726 |     2.223 |     2.303 |
#> |.....................|     2.970 |     2.471 |     3.126 |...........|
#> |    F| Forward Diff. |     14.96 |    -11.95 |    -65.60 |    -184.8 |
#> |.....................|   0.09658 |    -3.202 |  -0.04207 |...........|
#> |   11|     1155.8710 |    0.7986 |     1.095 |     3.004 |     8.273 |
#> |.....................|     2.789 |     2.988 |     3.117 |...........|
#> |    U|      1155.871 |    0.5367 |    -1.105 |     1.956 |     2.719 |
#> |.....................|     2.789 |     2.577 |     3.117 |...........|
#> |    X|      1155.871 |     1.710 |    0.3312 |     7.073 |     2.719 |
#> |.....................|     2.789 |     2.577 |     3.117 |...........|
#> |    F| Forward Diff. |     9.408 |    -18.52 |    -39.80 |    -98.59 |
#> |.....................|  -0.01020 |   0.08670 |    0.1958 |...........|
#> |   12|     1013.0456 |    0.6350 |     1.417 |     3.696 |     9.987 |
#> |.....................|     2.790 |     2.987 |     3.114 |...........|
#> |    U|     1013.0456 |    0.3731 |   -0.7832 |     2.648 |     3.261 |
#> |.....................|     2.790 |     2.575 |     3.114 |...........|
#> |    X|     1013.0456 |     1.452 |    0.4570 |     14.13 |     3.261 |
#> |.....................|     2.790 |     2.575 |     3.114 |...........|
#> |    F| Forward Diff. |     4.063 |    -6.729 |    -19.62 |    -45.95 |
#> |.....................|  -0.02786 | -0.004702 |  -0.02586 |...........|
#> |   13|     954.46654 |    0.3551 |     1.083 |     4.897 |     11.33 |
#> |.....................|     2.976 |     2.752 |     3.005 |...........|
#> |    U|     954.46654 |   0.09319 |    -1.117 |     3.850 |     3.687 |
#> |.....................|     2.976 |     2.378 |     3.005 |...........|
#> |    X|     954.46654 |     1.098 |    0.3273 |     46.99 |     3.687 |
#> |.....................|     2.976 |     2.378 |     3.005 |...........|
#> |    F| Forward Diff. |    -1.787 |   -0.5203 |   -0.5185 |    -25.46 |
#> |.....................|  -0.02263 | -0.001252 |   -0.1320 |...........|
#> |   14|     920.83833 |    0.4869 |     1.122 |     4.936 |     13.21 |
#> |.....................|     2.977 |     2.752 |     3.015 |...........|
#> |    U|     920.83833 |    0.2250 |    -1.078 |     3.888 |     4.281 |
#> |.....................|     2.977 |     2.378 |     3.015 |...........|
#> |    X|     920.83833 |     1.252 |    0.3401 |     48.82 |     4.281 |
#> |.....................|     2.977 |     2.378 |     3.015 |...........|
#> |    F| Forward Diff. |    -1.091 |   -0.3689 |   -0.3078 |    -11.55 |
#> |.....................|  -0.01554 | -0.001042 |  -0.09664 |...........|
#> |   15|     908.06825 |    0.6616 |     1.166 |     4.905 |     14.77 |
#> |.....................|     2.959 |     2.714 |     3.034 |...........|
#> |    U|     908.06825 |    0.3997 |    -1.034 |     3.858 |     4.775 |
#> |.....................|     2.959 |     2.346 |     3.034 |...........|
#> |    X|     908.06825 |     1.491 |    0.3555 |     47.36 |     4.775 |
#> |.....................|     2.959 |     2.346 |     3.034 |...........|
#> |    F| Forward Diff. |   -0.4813 |   -0.3327 |   -0.8870 |    -5.111 |
#> |.....................|  -0.01133 | -0.001041 |  -0.07454 |...........|
#> |   16|     903.90550 |    0.5986 |     1.171 |     5.157 |     16.06 |
#> |.....................|     3.003 |     2.739 |     2.984 |...........|
#> |    U|      903.9055 |    0.3367 |    -1.029 |     4.110 |     5.180 |
#> |.....................|     3.003 |     2.367 |     2.984 |...........|
#> |    X|      903.9055 |     1.400 |    0.3575 |     60.92 |     5.180 |
#> |.....................|     3.003 |     2.367 |     2.984 |...........|
#> |    F| Forward Diff. |   -0.9727 |   -0.1500 |     1.389 |    -1.763 |
#> |.....................| -0.009274 |-0.0005595 |  -0.06998 |...........|
#> |   17|     903.35260 |     1.073 |     1.285 |     4.679 |     16.99 |
#> |.....................|     2.872 |     2.583 |     3.097 |...........|
#> |    U|      903.3526 |    0.8113 |   -0.9154 |     3.631 |     5.477 |
#> |.....................|     2.872 |     2.236 |     3.097 |...........|
#> |    X|      903.3526 |     2.251 |    0.4003 |     37.76 |     5.477 |
#> |.....................|     2.872 |     2.236 |     3.097 |...........|
#> |    F| Forward Diff. |    0.3185 |   -0.4553 |    -2.706 |  -0.02177 |
#> |.....................| -0.006657 | -0.002044 |  -0.04719 |...........|
#> |   18|     902.88905 |    0.8702 |     1.256 |     4.951 |     16.99 |
#> |.....................|     2.930 |     2.640 |     3.032 |...........|
#> |    U|     902.88905 |    0.6083 |   -0.9445 |     3.903 |     5.477 |
#> |.....................|     2.930 |     2.284 |     3.032 |...........|
#> |    X|     902.88905 |     1.837 |    0.3889 |     49.57 |     5.477 |
#> |.....................|     2.930 |     2.284 |     3.032 |...........|
#> |    F| Forward Diff. |   -0.1887 |   -0.2474 |   -0.6139 |   0.03049 |
#> |.....................| -0.007488 | -0.001042 |  -0.05646 |...........|
#> |   19|     902.87438 |    0.8394 |     1.261 |     4.999 |     16.99 |
#> |.....................|     2.935 |     2.641 |     3.020 |...........|
#> |    U|     902.87438 |    0.5775 |   -0.9386 |     3.952 |     5.477 |
#> |.....................|     2.935 |     2.285 |     3.020 |...........|
#> |    X|     902.87438 |     1.782 |    0.3912 |     52.03 |     5.477 |
#> |.....................|     2.935 |     2.285 |     3.020 |...........|
#> |    F| Forward Diff. |   -0.2905 |   -0.2212 |   -0.2257 |   0.03101 |
#> |.....................| -0.007644 |-0.0009604 |  -0.05797 |...........|
#> |   20|     902.87438 |    0.8394 |     1.261 |     4.999 |     16.99 |
#> |.....................|     2.935 |     2.641 |     3.020 |...........|
#> |    U|     902.87438 |    0.5775 |   -0.9386 |     3.952 |     5.477 |
#> |.....................|     2.935 |     2.285 |     3.020 |...........|
#> |    X|     902.87438 |     1.782 |    0.3912 |     52.03 |     5.477 |
#> |.....................|     2.935 |     2.285 |     3.020 |...........|
#> calculating covariance matrix
#> done
#> Calculating residuals/tables
#> done
#> Warning: gradient problems with initial estimate and covariance; see $scaleInfo
#> Warning: using S matrix to calculate covariance, can check sandwich or R matrix with $covRS and $covR
#> Warning: last objective function was not at minimum, possible problems in optimization
#> Warning: ETAs were reset to zero during optimization; (Can control by foceiControl(resetEtaP=.))
#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))

## You can also use the standard nlmixr functions to run FOCEi

library(data.table);
datr <- Infusion_1CPT;
datr$EVID<-ifelse(datr$EVID==1,10101,datr$EVID)
datr<-data.table(datr)
datr<-datr[EVID!=2]
datro<-copy(datr)
datIV<-datr[AMT>0][,TIME:=TIME+AMT/RATE][,AMT:=-1*AMT]
datr<-rbind(datr,datIV)

one.compartment.IV.model <- function(){
  ini({ # Where initial conditions/variables are specified
    # '<-' or '=' defines population parameters
    # Simple numeric expressions are supported
    lCl <- 1.6      #log Cl (L/hr)
    lVc <- 4.5  #log V (L)
    # Bounds may be specified by c(lower, est, upper), like NONMEM:
    # Residuals errors are assumed to be population parameters
    prop.sd <- 0.3
    # Between subject variability estimates are specified by '~'
    # Semicolons are optional
    eta.Vc ~ 0.1   #IIV V
    eta.Cl ~ 0.1; #IIV Cl
  })
  model({ # Where the model is specified
    # The model uses the ini-defined variable names
    Vc <- exp(lVc + eta.Vc)
    Cl <- exp(lCl + eta.Cl)
    # RxODE-style differential equations are supported
    d / dt(centr) = -(Cl / Vc) * centr;
    ## Concentration is calculated
    cp = centr / Vc;
    # And is assumed to follow proportional error estimated by prop.err
    cp ~ prop(prop.sd)
   })}

fitIVp <- nlmixr(one.compartment.IV.model, datr, "focei");
#>  parameter labels from comments will be replaced by 'label()'
#> → 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
#> 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 |       lCl |       lVc |   prop.sd |        o1 |
#> |.....................|        o2 |...........|...........|...........|
#> |    1|     64568.752 |   -0.3810 |     1.000 |    -1.000 |   -0.2961 |
#> |.....................|   -0.2961 |...........|...........|...........|
#> |    U|     64568.752 |     1.600 |     4.500 |    0.3000 |     1.778 |
#> |.....................|     1.778 |...........|...........|...........|
#> |    X|     64568.752 |     4.953 |     90.02 |    0.3000 |     1.778 |
#> |.....................|     1.778 |...........|...........|...........|
#> |    G|    Gill Diff. |     393.9 |     429.3 |     3259. |     120.0 |
#> |.....................|     29.08 |...........|...........|...........|
#> |    2|     64109.890 |   -0.4998 |    0.8704 |    -1.984 |   -0.3323 |
#> |.....................|   -0.3048 |...........|...........|...........|
#> |    U|      64109.89 |     1.481 |     4.370 |    0.1524 |     1.714 |
#> |.....................|     1.763 |...........|...........|...........|
#> |    X|      64109.89 |     4.398 |     79.08 |    0.1524 |     1.714 |
#> |.....................|     1.763 |...........|...........|...........|
#> |    F| Forward Diff. |     251.9 |     236.8 |    -8957. |    -33.21 |
#> |.....................|    -56.48 |...........|...........|...........|
#> |    3|     64024.129 |   -0.9601 |    0.3843 |    -1.247 |   -0.4272 |
#> |.....................|   -0.3079 |...........|...........|...........|
#> |    U|     64024.129 |     1.021 |     3.884 |    0.2630 |     1.545 |
#> |.....................|     1.757 |...........|...........|...........|
#> |    X|     64024.129 |     2.776 |     48.64 |    0.2630 |     1.545 |
#> |.....................|     1.757 |...........|...........|...........|
#> |    F| Forward Diff. |    -882.9 |    -551.1 |     3015. |     261.8 |
#> |.....................|     575.1 |...........|...........|...........|
#> |    4|     63443.873 |   -0.6286 |    0.5642 |    -1.412 |   -0.5504 |
#> |.....................|   -0.5633 |...........|...........|...........|
#> |    U|     63443.873 |     1.352 |     4.064 |    0.2382 |     1.326 |
#> |.....................|     1.303 |...........|...........|...........|
#> |    X|     63443.873 |     3.867 |     58.22 |    0.2382 |     1.326 |
#> |.....................|     1.303 |...........|...........|...........|
#> |    F| Forward Diff. |    -34.16 |    -163.7 |     2292. |    -353.2 |
#> |.....................|    -497.6 |...........|...........|...........|
#> |    5|     63537.109 |   -0.6214 |    0.5986 |    -1.894 |   -0.4762 |
#> |.....................|   -0.4587 |...........|...........|...........|
#> |    U|     63537.109 |     1.360 |     4.099 |    0.1659 |     1.458 |
#> |.....................|     1.489 |...........|...........|...........|
#> |    X|     63537.109 |     3.895 |     60.26 |    0.1659 |     1.458 |
#> |.....................|     1.489 |...........|...........|...........|
#> |    6|     63077.077 |   -0.6252 |    0.5802 |    -1.636 |   -0.5160 |
#> |.....................|   -0.5148 |...........|...........|...........|
#> |    U|     63077.077 |     1.356 |     4.080 |    0.2047 |     1.387 |
#> |.....................|     1.389 |...........|...........|...........|
#> |    X|     63077.077 |     3.880 |     59.16 |    0.2047 |     1.387 |
#> |.....................|     1.389 |...........|...........|...........|
#> |    F| Forward Diff. |    -29.34 |    -170.2 |     423.5 |    -311.4 |
#> |.....................|    -427.5 |...........|...........|...........|
#> |    7|     63054.788 |   -0.5967 |    0.6538 |    -1.760 |   -0.4083 |
#> |.....................|   -0.3719 |...........|...........|...........|
#> |    U|     63054.788 |     1.384 |     4.154 |    0.1860 |     1.579 |
#> |.....................|     1.643 |...........|...........|...........|
#> |    X|     63054.788 |     3.992 |     63.68 |    0.1860 |     1.579 |
#> |.....................|     1.643 |...........|...........|...........|
#> |    F| Forward Diff. |     4.050 |    -165.6 |    -1561. |    -178.1 |
#> |.....................|    -216.7 |...........|...........|...........|
#> |    8|     62969.106 |   -0.5155 |    0.7783 |    -1.622 |   -0.3297 |
#> |.....................|   -0.2922 |...........|...........|...........|
#> |    U|     62969.106 |     1.465 |     4.278 |    0.2067 |     1.718 |
#> |.....................|     1.785 |...........|...........|...........|
#> |    X|     62969.106 |     4.330 |     72.12 |    0.2067 |     1.718 |
#> |.....................|     1.785 |...........|...........|...........|
#> |    F| Forward Diff. |     182.4 |     9.478 |     568.8 |    -86.96 |
#> |.....................|    -65.44 |...........|...........|...........|
#> |    9|     62998.048 |   -0.6441 |    0.9364 |    -1.672 |   -0.2506 |
#> |.....................|   -0.3504 |...........|...........|...........|
#> |    U|     62998.048 |     1.337 |     4.436 |    0.1992 |     1.859 |
#> |.....................|     1.682 |...........|...........|...........|
#> |    X|     62998.048 |     3.807 |     84.47 |    0.1992 |     1.859 |
#> |.....................|     1.682 |...........|...........|...........|
#> |   10|     62952.677 |   -0.5553 |    0.8115 |    -1.671 |   -0.3069 |
#> |.....................|   -0.3002 |...........|...........|...........|
#> |    U|     62952.677 |     1.426 |     4.311 |    0.1994 |     1.759 |
#> |.....................|     1.771 |...........|...........|...........|
#> |    X|     62952.677 |     4.161 |     74.55 |    0.1994 |     1.759 |
#> |.....................|     1.771 |...........|...........|...........|
#> |    F| Forward Diff. |     89.32 |     92.67 |    -64.43 |    -39.17 |
#> |.....................|    -98.39 |...........|...........|...........|
#> |   11|     62948.640 |   -0.5929 |    0.7724 |    -1.644 |   -0.2904 |
#> |.....................|   -0.2588 |...........|...........|...........|
#> |    U|      62948.64 |     1.388 |     4.272 |    0.2035 |     1.788 |
#> |.....................|     1.845 |...........|...........|...........|
#> |    X|      62948.64 |     4.007 |     71.70 |    0.2035 |     1.788 |
#> |.....................|     1.845 |...........|...........|...........|
#> |    F| Forward Diff. |    -2.681 |     1.104 |     311.3 |    -18.19 |
#> |.....................|    -38.52 |...........|...........|...........|
#> |   12|     62953.843 |   -0.5695 |    0.7334 |    -1.694 |   -0.2978 |
#> |.....................|   -0.2279 |...........|...........|...........|
#> |    U|     62953.843 |     1.411 |     4.233 |    0.1958 |     1.775 |
#> |.....................|     1.899 |...........|...........|...........|
#> |    X|     62953.843 |     4.102 |     68.95 |    0.1958 |     1.775 |
#> |.....................|     1.899 |...........|...........|...........|
#> |   13|     62945.577 |   -0.5927 |    0.7723 |    -1.672 |   -0.2888 |
#> |.....................|   -0.2553 |...........|...........|...........|
#> |    U|     62945.577 |     1.388 |     4.272 |    0.1992 |     1.791 |
#> |.....................|     1.851 |...........|...........|...........|
#> |    X|     62945.577 |     4.008 |     71.69 |    0.1992 |     1.791 |
#> |.....................|     1.851 |...........|...........|...........|
#> |    F| Forward Diff. |     2.884 |     5.280 |    -75.09 |    -14.48 |
#> |.....................|    -32.10 |...........|...........|...........|
#> |   14|     62945.270 |   -0.5774 |    0.7667 |    -1.665 |   -0.2864 |
#> |.....................|   -0.2327 |...........|...........|...........|
#> |    U|      62945.27 |     1.404 |     4.267 |    0.2003 |     1.795 |
#> |.....................|     1.891 |...........|...........|...........|
#> |    X|      62945.27 |     4.070 |     71.29 |    0.2003 |     1.795 |
#> |.....................|     1.891 |...........|...........|...........|
#> |    F| Forward Diff. |     47.89 |    -10.31 |     26.42 |    -11.01 |
#> |.....................|     6.198 |...........|...........|...........|
#> |   15|     62945.307 |   -0.5956 |    0.7884 |    -1.668 |   -0.2822 |
#> |.....................|   -0.2313 |...........|...........|...........|
#> |    U|     62945.307 |     1.385 |     4.288 |    0.1998 |     1.803 |
#> |.....................|     1.893 |...........|...........|...........|
#> |    X|     62945.307 |     3.996 |     72.85 |    0.1998 |     1.803 |
#> |.....................|     1.893 |...........|...........|...........|
#> |   16|     62945.133 |   -0.5892 |    0.7692 |    -1.671 |   -0.2837 |
#> |.....................|   -0.2342 |...........|...........|...........|
#> |    U|     62945.133 |     1.392 |     4.269 |    0.1993 |     1.800 |
#> |.....................|     1.888 |...........|...........|...........|
#> |    X|     62945.133 |     4.022 |     71.47 |    0.1993 |     1.800 |
#> |.....................|     1.888 |...........|...........|...........|
#> |    F| Forward Diff. |     13.61 |    -2.370 |    -62.81 |    -5.572 |
#> |.....................|     2.957 |...........|...........|...........|
#> |   17|     62945.092 |   -0.5937 |    0.7743 |    -1.660 |   -0.2804 |
#> |.....................|   -0.2358 |...........|...........|...........|
#> |    U|     62945.092 |     1.387 |     4.274 |    0.2011 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    X|     62945.092 |     4.004 |     71.83 |    0.2011 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    F| Forward Diff. |    -2.171 |     8.859 |     99.54 |    0.4147 |
#> |.....................|    0.1833 |...........|...........|...........|
#> |   18|     62944.869 |   -0.5935 |    0.7737 |    -1.667 |   -0.2804 |
#> |.....................|   -0.2358 |...........|...........|...........|
#> |    U|     62944.869 |     1.387 |     4.274 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    X|     62944.869 |     4.004 |     71.79 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    F| Forward Diff. |   -0.5306 |     8.265 |     3.463 |    0.4065 |
#> |.....................|    0.2434 |...........|...........|...........|
#> |   19|     62944.927 |   -0.5932 |    0.7670 |    -1.668 |   -0.2800 |
#> |.....................|   -0.2371 |...........|...........|...........|
#> |    U|     62944.927 |     1.388 |     4.267 |    0.1998 |     1.807 |
#> |.....................|     1.883 |...........|...........|...........|
#> |    X|     62944.927 |     4.006 |     71.31 |    0.1998 |     1.807 |
#> |.....................|     1.883 |...........|...........|...........|
#> |   20|     62944.877 |   -0.5934 |    0.7720 |    -1.667 |   -0.2805 |
#> |.....................|   -0.2358 |...........|...........|...........|
#> |    U|     62944.877 |     1.388 |     4.272 |    0.1999 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    X|     62944.877 |     4.005 |     71.67 |    0.1999 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |   21|     62944.870 |   -0.5935 |    0.7731 |    -1.667 |   -0.2804 |
#> |.....................|   -0.2358 |...........|...........|...........|
#> |    U|      62944.87 |     1.387 |     4.273 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    X|      62944.87 |     4.005 |     71.75 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |   22|     62944.870 |   -0.5935 |    0.7735 |    -1.667 |   -0.2804 |
#> |.....................|   -0.2358 |...........|...........|...........|
#> |    U|      62944.87 |     1.387 |     4.273 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    X|      62944.87 |     4.005 |     71.77 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |   23|     62944.869 |   -0.5935 |    0.7736 |    -1.667 |   -0.2804 |
#> |.....................|   -0.2358 |...........|...........|...........|
#> |    U|     62944.869 |     1.387 |     4.274 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    X|     62944.869 |     4.004 |     71.78 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |   24|     62944.869 |   -0.5935 |    0.7737 |    -1.667 |   -0.2804 |
#> |.....................|   -0.2358 |...........|...........|...........|
#> |    U|     62944.869 |     1.387 |     4.274 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    X|     62944.869 |     4.004 |     71.78 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |   25|     62944.869 |   -0.5935 |    0.7737 |    -1.667 |   -0.2804 |
#> |.....................|   -0.2358 |...........|...........|...........|
#> |    U|     62944.869 |     1.387 |     4.274 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    X|     62944.869 |     4.004 |     71.79 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |   26|     62944.869 |   -0.5935 |    0.7737 |    -1.667 |   -0.2804 |
#> |.....................|   -0.2358 |...........|...........|...........|
#> |    U|     62944.869 |     1.387 |     4.274 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    X|     62944.869 |     4.004 |     71.79 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |   27|     62944.869 |   -0.5935 |    0.7737 |    -1.667 |   -0.2804 |
#> |.....................|   -0.2358 |...........|...........|...........|
#> |    U|     62944.869 |     1.387 |     4.274 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    X|     62944.869 |     4.004 |     71.79 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    F| Forward Diff. |   -0.1716 |     8.728 |     3.629 |    0.8155 |
#> |.....................|    0.4376 |...........|...........|...........|
#> |   28|     62944.869 |   -0.5935 |    0.7737 |    -1.667 |   -0.2804 |
#> |.....................|   -0.2358 |...........|...........|...........|
#> |    U|     62944.869 |     1.387 |     4.274 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    X|     62944.869 |     4.004 |     71.79 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |   29|     62944.869 |   -0.5935 |    0.7737 |    -1.667 |   -0.2804 |
#> |.....................|   -0.2358 |...........|...........|...........|
#> |    U|     62944.869 |     1.387 |     4.274 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    X|     62944.869 |     4.004 |     71.79 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |   30|     62944.869 |   -0.5935 |    0.7737 |    -1.667 |   -0.2804 |
#> |.....................|   -0.2358 |...........|...........|...........|
#> |    U|     62944.869 |     1.387 |     4.274 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    X|     62944.869 |     4.004 |     71.79 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |   31|     62944.869 |   -0.5935 |    0.7737 |    -1.667 |   -0.2804 |
#> |.....................|   -0.2358 |...........|...........|...........|
#> |    U|     62944.869 |     1.387 |     4.274 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    X|     62944.869 |     4.004 |     71.79 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |   32|     62944.869 |   -0.5935 |    0.7737 |    -1.667 |   -0.2804 |
#> |.....................|   -0.2358 |...........|...........|...........|
#> |    U|     62944.869 |     1.387 |     4.274 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    X|     62944.869 |     4.004 |     71.79 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |   33|     62944.869 |   -0.5935 |    0.7737 |    -1.667 |   -0.2804 |
#> |.....................|   -0.2358 |...........|...........|...........|
#> |    U|     62944.869 |     1.387 |     4.274 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    X|     62944.869 |     4.004 |     71.79 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |   34|     62944.869 |   -0.5935 |    0.7737 |    -1.667 |   -0.2804 |
#> |.....................|   -0.2358 |...........|...........|...........|
#> |    U|     62944.869 |     1.387 |     4.274 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    X|     62944.869 |     4.004 |     71.79 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |   35|     62944.869 |   -0.5935 |    0.7737 |    -1.667 |   -0.2804 |
#> |.....................|   -0.2358 |...........|...........|...........|
#> |    U|     62944.869 |     1.387 |     4.274 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    X|     62944.869 |     4.004 |     71.79 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |   36|     62944.869 |   -0.5935 |    0.7737 |    -1.667 |   -0.2804 |
#> |.....................|   -0.2358 |...........|...........|...........|
#> |    U|     62944.869 |     1.387 |     4.274 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    X|     62944.869 |     4.004 |     71.79 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |   37|     62944.869 |   -0.5935 |    0.7737 |    -1.667 |   -0.2804 |
#> |.....................|   -0.2358 |...........|...........|...........|
#> |    U|     62944.869 |     1.387 |     4.274 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> |    X|     62944.869 |     4.004 |     71.79 |    0.2000 |     1.806 |
#> |.....................|     1.885 |...........|...........|...........|
#> 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 covariance; see $scaleInfo
#> Warning: 'ss' is ignored with classic RxODE 'EVID's

## You can also use the Box-Cox Transform of both sides with
## proportional error (Donse 2016)

one.compartment.IV.model <- function(){
ini({ # Where initial conditions/variables are specified
    ## '<-' or '=' defines population parameters
    ## Simple numeric expressions are supported
    lCl <- 1.6      #log Cl (L/hr)
    lVc <- 4.5  #log V (L)
    ## Bounds may be specified by c(lower, est, upper), like NONMEM:
    ## Residuals errors are assumed to be population parameters
    prop.err <- 0.3
    add.err <- 0.01
    lambda <- c(-2, 1, 2)
    zeta <- c(0.1, 1, 10)
    ## Between subject variability estimates are specified by '~'
    ## Semicolons are optional
    eta.Vc ~ 0.1   #IIV V
    eta.Cl ~ 0.1; #IIV Cl
})
model({ ## Where the model is specified
    ## The model uses the ini-defined variable names
    Vc <- exp(lVc + eta.Vc)
    Cl <- exp(lCl + eta.Cl)
    ## RxODE-style differential equations are supported
    d / dt(centr) = -(Cl / Vc) * centr;
    ## Concentration is calculated
    cp = centr / Vc;
    ## And is assumed to follow proportional error estimated by prop.err
    cp ~ pow(prop.err, zeta) + add(add.err) + boxCox(lambda)
    ## This is proportional to the untransformed f; You can use the transformed f by using powT()
})}

fitIVtbs <- nlmixr(one.compartment.IV.model, datr, "focei")
#>  parameter labels from comments will be replaced by 'label()'
#> → 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
#> 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 |       lCl |       lVc |  prop.err |   add.err |
#> |.....................|    lambda |      zeta |        o1 |        o2 |
#> |    1|     64568.832 |   -0.2918 |     1.000 |   -0.8708 |    -1.000 |
#> |.....................|   -0.5590 |   -0.5590 |   -0.2123 |   -0.2123 |
#> |    U|     64568.832 |     1.600 |     4.500 |    0.3000 |   0.01000 |
#> |.....................|     1.000 |     1.000 |     1.778 |     1.778 |
#> |    X|     64568.832 |     4.953 |     90.02 |    0.3000 |   0.01000 |
#> |.....................|     1.000 |     1.000 |     1.778 |     1.778 |
#> |    G|    Gill Diff. |     393.9 |     429.4 |     6520. |   0.09480 |
#> |.....................|-3.575e+04 | 3.615e+04 |     120.1 |     29.08 |
#> |    2| 1.0276305e+12 |   -0.2994 |    0.9916 |   -0.9980 |    -1.000 |
#> |.....................|    0.1384 |    -1.264 |   -0.2147 |   -0.2129 |
#> |    U| 1.0276305e+12 |     1.592 |     4.492 |    0.2618 |   0.01000 |
#> |.....................|     1.697 |    0.2948 |     1.774 |     1.777 |
#> |    X| 1.0276305e+12 |     4.915 |     89.27 |    0.2618 |   0.01000 |
#> |.....................|     1.697 |    0.2948 |     1.774 |     1.777 |
#> |    3|     66771.949 |   -0.2925 |    0.9992 |   -0.8835 |    -1.000 |
#> |.....................|   -0.4893 |   -0.6295 |   -0.2126 |   -0.2124 |
#> |    U|     66771.949 |     1.599 |     4.499 |    0.2962 |   0.01000 |
#> |.....................|     1.070 |    0.9295 |     1.778 |     1.778 |
#> |    X|     66771.949 |     4.949 |     89.94 |    0.2962 |   0.01000 |
#> |.....................|     1.070 |    0.9295 |     1.778 |     1.778 |
#> |    4|     63293.426 |   -0.2920 |    0.9997 |   -0.8753 |    -1.000 |
#> |.....................|   -0.5346 |   -0.5837 |   -0.2124 |   -0.2124 |
#> |    U|     63293.426 |     1.600 |     4.500 |    0.2987 |   0.01000 |
#> |.....................|     1.024 |    0.9753 |     1.778 |     1.778 |
#> |    X|     63293.426 |     4.952 |     89.99 |    0.2987 |   0.01000 |
#> |.....................|     1.024 |    0.9753 |     1.778 |     1.778 |
#> |    M|   Mixed Diff. |     476.3 |     520.7 |     2601. |    0.1372 |
#> |.....................|-1.185e+04 | 1.258e+04 |     199.6 |     92.13 |
#> |    5|     63200.181 |   -0.3051 |    0.9854 |   -0.8920 |    -1.000 |
#> |.....................|   -0.5341 |   -0.6065 |   -0.2185 |   -0.2155 |
#> |    U|     63200.181 |     1.587 |     4.485 |    0.2937 |   0.01000 |
#> |.....................|     1.025 |    0.9525 |     1.767 |     1.773 |
#> |    X|     63200.181 |     4.887 |     88.71 |    0.2937 |   0.01000 |
#> |.....................|     1.025 |    0.9525 |     1.767 |     1.773 |
#> |    F| Forward Diff. |     470.8 |     507.5 |    -866.7 |    0.1619 |
#> |.....................|     9381. |    -8466. |     186.4 |     86.65 |
#> |    6|     63122.745 |   -0.3196 |    0.9697 |   -0.9094 |    -1.000 |
#> |.....................|   -0.5538 |   -0.6125 |   -0.2242 |   -0.2181 |
#> |    U|     63122.745 |     1.572 |     4.470 |    0.2884 |   0.01000 |
#> |.....................|     1.005 |    0.9466 |     1.757 |     1.768 |
#> |    X|     63122.745 |     4.817 |     87.33 |    0.2884 |   0.01000 |
#> |.....................|     1.005 |    0.9466 |     1.757 |     1.768 |
#> |    F| Forward Diff. |     421.1 |     448.6 |     750.0 |    0.1359 |
#> |.....................|    -489.4 |     1348. |     131.8 |     46.42 |
#> |    7|     63088.098 |   -0.3331 |    0.9554 |   -0.9294 |    -1.000 |
#> |.....................|   -0.5690 |   -0.6264 |   -0.2280 |   -0.2192 |
#> |    U|     63088.098 |     1.559 |     4.455 |    0.2824 |   0.01000 |
#> |.....................|    0.9900 |    0.9327 |     1.750 |     1.766 |
#> |    X|     63088.098 |     4.753 |     86.09 |    0.2824 |   0.01000 |
#> |.....................|    0.9900 |    0.9327 |     1.750 |     1.766 |
#> |    8|     62996.626 |   -0.3735 |    0.9127 |   -0.9890 |    -1.000 |
#> |.....................|   -0.6172 |   -0.6655 |   -0.2391 |   -0.2224 |
#> |    U|     62996.626 |     1.518 |     4.413 |    0.2646 |   0.01000 |
#> |.....................|    0.9419 |    0.8935 |     1.731 |     1.760 |
#> |    X|     62996.626 |     4.564 |     82.49 |    0.2646 |   0.01000 |
#> |.....................|    0.9419 |    0.8935 |     1.731 |     1.760 |
#> |    9|     62874.199 |   -0.4851 |    0.7948 |    -1.153 |    -1.000 |
#> |.....................|   -0.7500 |   -0.7735 |   -0.2698 |   -0.2312 |
#> |    U|     62874.199 |     1.407 |     4.295 |    0.2153 |   0.01000 |
#> |.....................|    0.8091 |    0.7855 |     1.676 |     1.745 |
#> |    X|     62874.199 |     4.082 |     73.31 |    0.2153 |   0.01000 |
#> |.....................|    0.8091 |    0.7855 |     1.676 |     1.745 |
#> |    M|   Mixed Diff. |     40.28 |     45.22 |    -2158. |   -0.1938 |
#> |.....................| 1.039e+04 |    -9689. |    -125.0 |    -126.6 |
#> |   10|     62992.547 |   -0.5795 |    0.6968 |    -1.042 |    -1.000 |
#> |.....................|    -1.024 |    -1.035 |   -0.2069 |   -0.1551 |
#> |    U|     62992.547 |     1.312 |     4.197 |    0.2487 |   0.01000 |
#> |.....................|    0.5352 |    0.5239 |     1.788 |     1.880 |
#> |    X|     62992.547 |     3.715 |     66.47 |    0.2487 |   0.01000 |
#> |.....................|    0.5352 |    0.5239 |     1.788 |     1.880 |
#> |   11|     62998.204 |   -0.5239 |    0.7545 |    -1.106 |    -1.000 |
#> |.....................|   -0.8724 |   -0.8716 |   -0.2439 |   -0.1998 |
#> |    U|     62998.204 |     1.368 |     4.254 |    0.2296 |   0.01000 |
#> |.....................|    0.6866 |    0.6875 |     1.722 |     1.801 |
#> |    X|     62998.204 |     3.927 |     70.42 |    0.2296 |   0.01000 |
#> |.....................|    0.6866 |    0.6875 |     1.722 |     1.801 |
#> |   12|     63010.689 |   -0.4993 |    0.7800 |    -1.134 |    -1.000 |
#> |.....................|   -0.8055 |   -0.7994 |   -0.2602 |   -0.2196 |
#> |    U|     63010.689 |     1.392 |     4.280 |    0.2212 |   0.01000 |
#> |.....................|    0.7535 |    0.7597 |     1.693 |     1.765 |
#> |    X|     63010.689 |     4.025 |     72.24 |    0.2212 |   0.01000 |
#> |.....................|    0.7535 |    0.7597 |     1.693 |     1.765 |
#> |   13|     63019.151 |   -0.4871 |    0.7927 |    -1.148 |    -1.000 |
#> |.....................|   -0.7722 |   -0.7633 |   -0.2683 |   -0.2294 |
#> |    U|     63019.151 |     1.405 |     4.293 |    0.2170 |   0.01000 |
#> |.....................|    0.7869 |    0.7957 |     1.679 |     1.748 |
#> |    X|     63019.151 |     4.074 |     73.16 |    0.2170 |   0.01000 |
#> |.....................|    0.7869 |    0.7957 |     1.679 |     1.748 |
#> |   14|     62821.926 |   -0.4851 |    0.7947 |    -1.152 |    -1.000 |
#> |.....................|   -0.7564 |   -0.7675 |   -0.2697 |   -0.2311 |
#> |    U|     62821.926 |     1.407 |     4.295 |    0.2157 |   0.01000 |
#> |.....................|    0.8026 |    0.7915 |     1.676 |     1.745 |
#> |    X|     62821.926 |     4.082 |     73.31 |    0.2157 |   0.01000 |
#> |.....................|    0.8026 |    0.7915 |     1.676 |     1.745 |
#> |    F| Forward Diff. |     32.26 |     37.52 |     558.0 |   -0.2255 |
#> |.....................|    -1181. |     1893. |    -126.5 |    -127.6 |
#> |   15|     62816.370 |   -0.4852 |    0.7946 |    -1.152 |    -1.000 |
#> |.....................|   -0.7612 |   -0.7741 |   -0.2672 |   -0.2287 |
#> |    U|      62816.37 |     1.407 |     4.295 |    0.2156 |   0.01000 |
#> |.....................|    0.7978 |    0.7849 |     1.681 |     1.749 |
#> |    X|      62816.37 |     4.082 |     73.31 |    0.2156 |   0.01000 |
#> |.....................|    0.7978 |    0.7849 |     1.681 |     1.749 |
#> |    F| Forward Diff. |     33.65 |     38.88 |     204.1 |   -0.2187 |
#> |.....................|     350.7 |     365.4 |    -121.9 |    -123.6 |
#> |   16|     62812.352 |   -0.4857 |    0.7940 |    -1.155 |    -1.000 |
#> |.....................|   -0.7666 |   -0.7797 |   -0.2653 |   -0.2267 |
#> |    U|     62812.352 |     1.406 |     4.294 |    0.2147 |   0.01000 |
#> |.....................|    0.7924 |    0.7793 |     1.684 |     1.753 |
#> |    X|     62812.352 |     4.080 |     73.26 |    0.2147 |   0.01000 |
#> |.....................|    0.7924 |    0.7793 |     1.684 |     1.753 |
#> |   17|     62808.363 |   -0.4864 |    0.7932 |    -1.159 |    -1.000 |
#> |.....................|   -0.7738 |   -0.7872 |   -0.2628 |   -0.2242 |
#> |    U|     62808.363 |     1.405 |     4.293 |    0.2134 |   0.01000 |
#> |.....................|    0.7852 |    0.7718 |     1.689 |     1.757 |
#> |    X|     62808.363 |     4.077 |     73.20 |    0.2134 |   0.01000 |
#> |.....................|    0.7852 |    0.7718 |     1.689 |     1.757 |
#> |    F| Forward Diff. |     33.00 |     38.24 |    -263.9 |   -0.2280 |
#> |.....................|     2263. |    -1543. |    -114.3 |    -116.5 |
#> |   18|     62797.224 |   -0.4868 |    0.7928 |    -1.158 |    -1.000 |
#> |.....................|   -0.7884 |   -0.7997 |   -0.2576 |   -0.2192 |
#> |    U|     62797.224 |     1.405 |     4.293 |    0.2138 |   0.01000 |
#> |.....................|    0.7706 |    0.7593 |     1.698 |     1.766 |
#> |    X|     62797.224 |     4.075 |     73.17 |    0.2138 |   0.01000 |
#> |.....................|    0.7706 |    0.7593 |     1.698 |     1.766 |
#> |    F| Forward Diff. |     30.03 |     35.66 |     225.9 |   -0.2221 |
#> |.....................|     160.3 |     537.2 |    -105.9 |    -109.0 |
#> |   19|     62788.798 |   -0.4873 |    0.7921 |    -1.157 |    -1.000 |
#> |.....................|   -0.8017 |   -0.8145 |   -0.2538 |   -0.2153 |
#> |    U|     62788.798 |     1.404 |     4.292 |    0.2141 |   0.01000 |
#> |.....................|    0.7573 |    0.7445 |     1.705 |     1.773 |
#> |    X|     62788.798 |     4.073 |     73.12 |    0.2141 |   0.01000 |
#> |.....................|    0.7573 |    0.7445 |     1.705 |     1.773 |
#> |   20|     62777.504 |   -0.4879 |    0.7913 |    -1.155 |    -1.000 |
#> |.....................|   -0.8202 |   -0.8338 |   -0.2486 |   -0.2101 |
#> |    U|     62777.504 |     1.404 |     4.291 |    0.2148 |   0.01000 |
#> |.....................|    0.7389 |    0.7252 |     1.714 |     1.782 |
#> |    X|     62777.504 |     4.071 |     73.06 |    0.2148 |   0.01000 |
#> |.....................|    0.7389 |    0.7252 |     1.714 |     1.782 |
#> |   21|     62750.011 |   -0.4895 |    0.7893 |    -1.149 |    -1.000 |
#> |.....................|   -0.8683 |   -0.8840 |   -0.2352 |   -0.1965 |
#> |    U|     62750.011 |     1.402 |     4.289 |    0.2166 |   0.01000 |
#> |.....................|    0.6907 |    0.6750 |     1.738 |     1.807 |
#> |    X|     62750.011 |     4.064 |     72.91 |    0.2166 |   0.01000 |
#> |.....................|    0.6907 |    0.6750 |     1.738 |     1.807 |
#> |   22|     62703.017 |   -0.4926 |    0.7851 |    -1.137 |   -0.9999 |
#> |.....................|   -0.9657 |   -0.9856 |   -0.2081 |   -0.1690 |
#> |    U|     62703.017 |     1.399 |     4.285 |    0.2203 |   0.01000 |
#> |.....................|    0.5933 |    0.5734 |     1.786 |     1.855 |
#> |    X|     62703.017 |     4.052 |     72.61 |    0.2203 |   0.01000 |
#> |.....................|    0.5933 |    0.5734 |     1.786 |     1.855 |
#> |    F| Forward Diff. |     13.57 |     20.34 |    -351.5 |  -0.08971 |
#> |.....................|     2884. |    -2298. |    -20.93 |    -28.77 |
#> |   23|     62702.907 |   -0.3746 |    0.9015 |    -1.173 |   -0.9999 |
#> |.....................|    -1.105 |    -1.107 |   -0.2710 |   -0.2371 |
#> |    U|     62702.907 |     1.517 |     4.401 |    0.2095 |   0.01000 |
#> |.....................|    0.4539 |    0.4523 |     1.674 |     1.734 |
#> |    X|     62702.907 |     4.559 |     81.57 |    0.2095 |   0.01000 |
#> |.....................|    0.4539 |    0.4523 |     1.674 |     1.734 |
#> |    F| Forward Diff. |     253.6 |     220.9 |     1543. |   -0.1092 |
#> |.....................|    -5768. |     6235. |    -77.05 |    -78.54 |
#> |   24|     62715.639 |   -0.3664 |    0.9328 |    -1.151 |    -1.000 |
#> |.....................|    -1.163 |    -1.185 |   -0.3229 |   -0.3021 |
#> |    U|     62715.639 |     1.525 |     4.433 |    0.2159 |   0.01000 |
#> |.....................|    0.3962 |    0.3740 |     1.582 |     1.619 |
#> |    X|     62715.639 |     4.597 |     84.17 |    0.2159 |   0.01000 |
#> |.....................|    0.3962 |    0.3740 |     1.582 |     1.619 |
#> |   25|     62703.309 |   -0.3711 |    0.9151 |    -1.164 |    -1.000 |
#> |.....................|    -1.127 |    -1.145 |   -0.2938 |   -0.2657 |
#> |    U|     62703.309 |     1.521 |     4.415 |    0.2120 |   0.01000 |
#> |.....................|    0.4319 |    0.4140 |     1.633 |     1.683 |
#> |    X|     62703.309 |     4.575 |     82.69 |    0.2120 |   0.01000 |
#> |.....................|    0.4319 |    0.4140 |     1.633 |     1.683 |
#> |   26|     62700.138 |   -0.3731 |    0.9079 |    -1.169 |   -0.9999 |
#> |.....................|    -1.112 |    -1.128 |   -0.2819 |   -0.2507 |
#> |    U|     62700.138 |     1.519 |     4.408 |    0.2104 |   0.01000 |
#> |.....................|    0.4467 |    0.4305 |     1.655 |     1.710 |
#> |    X|     62700.138 |     4.566 |     82.09 |    0.2104 |   0.01000 |
#> |.....................|    0.4467 |    0.4305 |     1.655 |     1.710 |
#> |    F| Forward Diff. |     248.7 |     228.1 |    -1322. |   -0.1120 |
#> |.....................|     6344. |    -5841. |    -87.69 |    -97.51 |
#> |   27|     62679.045 |   -0.3782 |    0.9060 |    -1.162 |    -1.000 |
#> |.....................|    -1.120 |    -1.131 |   -0.2877 |   -0.2577 |
#> |    U|     62679.045 |     1.514 |     4.406 |    0.2126 |   0.01000 |
#> |.....................|    0.4394 |    0.4285 |     1.644 |     1.698 |
#> |    X|     62679.045 |     4.543 |     81.94 |    0.2126 |   0.01000 |
#> |.....................|    0.4394 |    0.4285 |     1.644 |     1.698 |
#> |    F| Forward Diff. |     228.4 |     216.4 |     214.3 |  -0.08924 |
#> |.....................|    -61.83 |     539.3 |    -102.1 |    -116.4 |
#> |   28|     62678.033 |   -0.3836 |    0.9035 |    -1.156 |    -1.000 |
#> |.....................|    -1.124 |    -1.137 |   -0.2940 |   -0.2646 |
#> |    U|     62678.033 |     1.508 |     4.404 |    0.2145 |   0.01000 |
#> |.....................|    0.4354 |    0.4222 |     1.633 |     1.685 |
#> |    X|     62678.033 |     4.519 |     81.74 |    0.2145 |   0.01000 |
#> |.....................|    0.4354 |    0.4222 |     1.633 |     1.685 |
#> |    F| Forward Diff. |     211.9 |     206.7 |     52.43 |  -0.07778 |
#> |.....................|     720.6 |    -242.8 |    -116.0 |    -132.8 |
#> |   29|     62677.555 |   -0.3879 |    0.9027 |    -1.150 |    -1.000 |
#> |.....................|    -1.131 |    -1.144 |   -0.3010 |   -0.2693 |
#> |    U|     62677.555 |     1.504 |     4.403 |    0.2162 |  0.009999 |
#> |.....................|    0.4282 |    0.4155 |     1.621 |     1.677 |
#> |    X|     62677.555 |     4.499 |     81.67 |    0.2162 |  0.009999 |
#> |.....................|    0.4282 |    0.4155 |     1.621 |     1.677 |
#> |    F| Forward Diff. |     198.6 |     198.4 |     447.6 |  -0.06424 |
#> |.....................|    -921.0 |     1388. |    -130.2 |    -144.9 |
#> |   30|     62674.099 |   -0.3845 |    0.9071 |    -1.157 |    -1.001 |
#> |.....................|    -1.136 |    -1.148 |   -0.2966 |   -0.2608 |
#> |    U|     62674.099 |     1.507 |     4.407 |    0.2141 |  0.009997 |
#> |.....................|    0.4233 |    0.4108 |     1.628 |     1.692 |
#> |    X|     62674.099 |     4.514 |     82.03 |    0.2141 |  0.009997 |
#> |.....................|    0.4233 |    0.4108 |     1.628 |     1.692 |
#> |    F| Forward Diff. |     212.8 |     209.9 |     137.2 |  -0.07613 |
#> |.....................|     326.9 |     140.8 |    -117.9 |    -127.5 |
#> |   31|     62671.953 |   -0.3856 |    0.8997 |    -1.161 |    -1.001 |
#> |.....................|    -1.141 |    -1.150 |   -0.2860 |   -0.2614 |
#> |    U|     62671.953 |     1.506 |     4.400 |    0.2129 |  0.009996 |
#> |.....................|    0.4177 |    0.4086 |     1.647 |     1.691 |
#> |    X|     62671.953 |     4.509 |     81.43 |    0.2129 |  0.009996 |
#> |.....................|    0.4177 |    0.4086 |     1.647 |     1.691 |
#> |    F| Forward Diff. |     208.9 |     205.7 |     632.7 |  -0.07763 |
#> |.....................|    -1850. |     2306. |    -105.5 |    -130.2 |
#> |   32|     64804.354 |   -0.3813 |    0.8864 |    -1.158 |    -1.001 |
#> |.....................|    -1.142 |    -1.154 |   -0.2844 |   -0.2628 |
#> |    U|     64804.354 |     1.510 |     4.386 |    0.2137 |  0.009995 |
#> |.....................|    0.4174 |    0.4051 |     1.650 |     1.689 |
#> |    X|     64804.354 |     4.529 |     80.35 |    0.2137 |  0.009995 |
#> |.....................|    0.4174 |    0.4051 |     1.650 |     1.689 |
#> |   33|     62669.371 |   -0.3857 |    0.8996 |    -1.161 |    -1.001 |
#> |.....................|    -1.140 |    -1.152 |   -0.2860 |   -0.2614 |
#> |    U|     62669.371 |     1.506 |     4.400 |    0.2128 |  0.009996 |
#> |.....................|    0.4186 |    0.4075 |     1.647 |     1.691 |
#> |    X|     62669.371 |     4.509 |     81.42 |    0.2128 |  0.009996 |
#> |.....................|    0.4186 |    0.4075 |     1.647 |     1.691 |
#> |    F| Forward Diff. |     209.7 |     206.4 |     205.0 |  -0.08148 |
#> |.....................|    -24.92 |     488.6 |    -105.0 |    -129.8 |
#> |   34|     62669.050 |   -0.3858 |    0.8987 |    -1.162 |    -1.001 |
#> |.....................|    -1.141 |    -1.152 |   -0.2863 |   -0.2608 |
#> |    U|      62669.05 |     1.506 |     4.399 |    0.2128 |  0.009996 |
#> |.....................|    0.4185 |    0.4066 |     1.647 |     1.692 |
#> |    X|      62669.05 |     4.509 |     81.34 |    0.2128 |  0.009996 |
#> |.....................|    0.4185 |    0.4066 |     1.647 |     1.692 |
#> |    F| Forward Diff. |     210.4 |     204.7 |     36.12 |  -0.08278 |
#> |.....................|     695.6 |    -230.0 |    -106.5 |    -128.6 |
#> |   35|     62668.664 |   -0.3857 |    0.8977 |    -1.161 |    -1.001 |
#> |.....................|    -1.141 |    -1.152 |   -0.2869 |   -0.2603 |
#> |    U|     62668.664 |     1.506 |     4.398 |    0.2129 |  0.009996 |
#> |.....................|    0.4177 |    0.4065 |     1.646 |     1.693 |
#> |    X|     62668.664 |     4.509 |     81.27 |    0.2129 |  0.009996 |
#> |.....................|    0.4177 |    0.4065 |     1.646 |     1.693 |
#> |    F| Forward Diff. |     210.8 |     202.3 |     205.0 |  -0.08097 |
#> |.....................|    -23.06 |     485.5 |    -108.4 |    -127.8 |
#> |   36|     62668.266 |   -0.3861 |    0.8969 |    -1.161 |    -1.001 |
#> |.....................|    -1.142 |    -1.154 |   -0.2871 |   -0.2599 |
#> |    U|     62668.266 |     1.506 |     4.397 |    0.2129 |  0.009996 |
#> |.....................|    0.4175 |    0.4055 |     1.645 |     1.694 |
#> |    X|     62668.266 |     4.507 |     81.20 |    0.2129 |  0.009996 |
#> |.....................|    0.4175 |    0.4055 |     1.645 |     1.694 |
#> |    F| Forward Diff. |     210.7 |     200.9 |     37.76 |  -0.08203 |
#> |.....................|     691.8 |    -227.0 |    -109.4 |    -127.4 |
#> |   37|     62667.748 |   -0.3869 |    0.8966 |    -1.161 |    -1.001 |
#> |.....................|    -1.143 |    -1.154 |   -0.2869 |   -0.2600 |
#> |    U|     62667.748 |     1.505 |     4.397 |    0.2130 |  0.009996 |
#> |.....................|    0.4164 |    0.4052 |     1.646 |     1.694 |
#> |    X|     62667.748 |     4.503 |     81.17 |    0.2130 |  0.009996 |
#> |.....................|    0.4164 |    0.4052 |     1.646 |     1.694 |
#> |    F| Forward Diff. |     208.5 |     200.1 |     204.5 |  -0.07998 |
#> |.....................|    -17.85 |     479.7 |    -109.5 |    -128.5 |
#> |   38|     62667.337 |   -0.3877 |    0.8963 |    -1.161 |    -1.001 |
#> |.....................|    -1.143 |    -1.155 |   -0.2866 |   -0.2601 |
#> |    U|     62667.337 |     1.504 |     4.396 |    0.2129 |  0.009996 |
#> |.....................|    0.4161 |    0.4040 |     1.646 |     1.693 |
#> |    X|     62667.337 |     4.500 |     81.15 |    0.2129 |  0.009996 |
#> |.....................|    0.4161 |    0.4040 |     1.646 |     1.693 |
#> |    F| Forward Diff. |     207.2 |     200.2 |     37.30 |  -0.08142 |
#> |.....................|     695.4 |    -232.2 |    -109.1 |    -129.1 |
#> |   39|     64771.821 |   -0.3882 |    0.8957 |    -1.161 |    -1.001 |
#> |.....................|    -1.144 |    -1.155 |   -0.2867 |   -0.2600 |
#> |    U|     64771.821 |     1.504 |     4.396 |    0.2130 |  0.009996 |
#> |.....................|    0.4149 |    0.4036 |     1.646 |     1.694 |
#> |    X|     64771.821 |     4.498 |     81.10 |    0.2130 |  0.009996 |
#> |.....................|    0.4149 |    0.4036 |     1.646 |     1.694 |
#> |   40|     62667.236 |   -0.3878 |    0.8962 |    -1.161 |    -1.001 |
#> |.....................|    -1.143 |    -1.155 |   -0.2866 |   -0.2601 |
#> |    U|     62667.236 |     1.504 |     4.396 |    0.2129 |  0.009996 |
#> |.....................|    0.4160 |    0.4041 |     1.646 |     1.693 |
#> |    X|     62667.236 |     4.500 |     81.14 |    0.2129 |  0.009996 |
#> |.....................|    0.4160 |    0.4041 |     1.646 |     1.693 |
#> |    F| Forward Diff. |     207.1 |     200.1 |     72.42 |  -0.08091 |
#> |.....................|     545.2 |    -81.95 |    -109.2 |    -129.2 |
#> |   41|     64780.015 |   -0.3879 |    0.8961 |    -1.161 |    -1.001 |
#> |.....................|    -1.143 |    -1.155 |   -0.2866 |   -0.2600 |
#> |    U|     64780.015 |     1.504 |     4.396 |    0.2129 |  0.009996 |
#> |.....................|    0.4157 |    0.4041 |     1.646 |     1.694 |
#> |    X|     64780.015 |     4.499 |     81.14 |    0.2129 |  0.009996 |
#> |.....................|    0.4157 |    0.4041 |     1.646 |     1.694 |
#> |   42|     62667.218 |   -0.3878 |    0.8962 |    -1.161 |    -1.001 |
#> |.....................|    -1.143 |    -1.155 |   -0.2866 |   -0.2600 |
#> |    U|     62667.218 |     1.504 |     4.396 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |    X|     62667.218 |     4.500 |     81.14 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |    F| Forward Diff. |     207.0 |     200.0 |     78.21 |  -0.08100 |
#> |.....................|     520.6 |    -57.36 |    -109.1 |    -129.2 |
#> |   43|     64783.859 |   -0.3878 |    0.8962 |    -1.161 |    -1.001 |
#> |.....................|    -1.143 |    -1.155 |   -0.2866 |   -0.2600 |
#> |    U|     64783.859 |     1.504 |     4.396 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |    X|     64783.859 |     4.499 |     81.14 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |   44|     62667.215 |   -0.3878 |    0.8962 |    -1.161 |    -1.001 |
#> |.....................|    -1.143 |    -1.155 |   -0.2866 |   -0.2600 |
#> |    U|     62667.215 |     1.504 |     4.396 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |    X|     62667.215 |     4.500 |     81.14 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |    F| Forward Diff. |     207.1 |     200.1 |     79.36 |  -0.08072 |
#> |.....................|     516.1 |    -52.53 |    -109.1 |    -129.1 |
#> |   45|     64784.589 |   -0.3878 |    0.8962 |    -1.161 |    -1.001 |
#> |.....................|    -1.143 |    -1.155 |   -0.2866 |   -0.2600 |
#> |    U|     64784.589 |     1.504 |     4.396 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |    X|     64784.589 |     4.500 |     81.14 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |   46|     64784.775 |   -0.3878 |    0.8962 |    -1.161 |    -1.001 |
#> |.....................|    -1.143 |    -1.155 |   -0.2866 |   -0.2600 |
#> |    U|     64784.775 |     1.504 |     4.396 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |    X|     64784.775 |     4.500 |     81.14 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |   47|     62667.215 |   -0.3878 |    0.8962 |    -1.161 |    -1.001 |
#> |.....................|    -1.143 |    -1.155 |   -0.2866 |   -0.2600 |
#> |    U|     62667.215 |     1.504 |     4.396 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |    X|     62667.215 |     4.500 |     81.14 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |    F| Forward Diff. |     207.2 |     200.2 |     79.48 |  -0.08018 |
#> |.....................|     516.6 |    -51.61 |    -109.0 |    -129.2 |
#> |   48|     62667.215 |   -0.3878 |    0.8962 |    -1.161 |    -1.001 |
#> |.....................|    -1.143 |    -1.155 |   -0.2866 |   -0.2600 |
#> |    U|     62667.215 |     1.504 |     4.396 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |    X|     62667.215 |     4.500 |     81.14 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |   49|     62667.215 |   -0.3878 |    0.8962 |    -1.161 |    -1.001 |
#> |.....................|    -1.143 |    -1.155 |   -0.2866 |   -0.2600 |
#> |    U|     62667.215 |     1.504 |     4.396 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |    X|     62667.215 |     4.500 |     81.14 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |   50|     62667.215 |   -0.3878 |    0.8962 |    -1.161 |    -1.001 |
#> |.....................|    -1.143 |    -1.155 |   -0.2866 |   -0.2600 |
#> |    U|     62667.215 |     1.504 |     4.396 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |    X|     62667.215 |     4.500 |     81.14 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |   51|     62667.215 |   -0.3878 |    0.8962 |    -1.161 |    -1.001 |
#> |.....................|    -1.143 |    -1.155 |   -0.2866 |   -0.2600 |
#> |    U|     62667.215 |     1.504 |     4.396 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |    X|     62667.215 |     4.500 |     81.14 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |   52|     62667.215 |   -0.3878 |    0.8962 |    -1.161 |    -1.001 |
#> |.....................|    -1.143 |    -1.155 |   -0.2866 |   -0.2600 |
#> |    U|     62667.215 |     1.504 |     4.396 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |    X|     62667.215 |     4.500 |     81.14 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |   53|     62667.215 |   -0.3878 |    0.8962 |    -1.161 |    -1.001 |
#> |.....................|    -1.143 |    -1.155 |   -0.2866 |   -0.2600 |
#> |    U|     62667.215 |     1.504 |     4.396 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |    X|     62667.215 |     4.500 |     81.14 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |   54|     62667.215 |   -0.3878 |    0.8962 |    -1.161 |    -1.001 |
#> |.....................|    -1.143 |    -1.155 |   -0.2866 |   -0.2600 |
#> |    U|     62667.215 |     1.504 |     4.396 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |    X|     62667.215 |     4.500 |     81.14 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |   55|     62667.215 |   -0.3878 |    0.8962 |    -1.161 |    -1.001 |
#> |.....................|    -1.143 |    -1.155 |   -0.2866 |   -0.2600 |
#> |    U|     62667.215 |     1.504 |     4.396 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |    X|     62667.215 |     4.500 |     81.14 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |   56|     62667.215 |   -0.3878 |    0.8962 |    -1.161 |    -1.001 |
#> |.....................|    -1.143 |    -1.155 |   -0.2866 |   -0.2600 |
#> |    U|     62667.215 |     1.504 |     4.396 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |    X|     62667.215 |     4.500 |     81.14 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |   57|     62667.215 |   -0.3878 |    0.8962 |    -1.161 |    -1.001 |
#> |.....................|    -1.143 |    -1.155 |   -0.2866 |   -0.2600 |
#> |    U|     62667.215 |     1.504 |     4.396 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> |    X|     62667.215 |     4.500 |     81.14 |    0.2129 |  0.009996 |
#> |.....................|    0.4159 |    0.4041 |     1.646 |     1.693 |
#> calculating covariance matrix
#> done
#> Calculating residuals/tables
#> done
#> Warning: Hessian reset during optimization; (can control by foceiControl(resetHessianAndEta=.))
#> 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: numerical difficulties solving forward sensitivity inner problem, tried approximating with more inaccurate numeric differences
#> Warning: gradient problems with initial estimate and covariance; see $scaleInfo
#> Warning: 'ss' is ignored with classic RxODE 'EVID's

## If you want to use a variance normalizing distribution with
## negative/positive data you can use the Yeo-Johnson transformation
## as well.  This is implemented by the yeoJohnson(lambda) function.
one.compartment.IV.model <- function(){
ini({ # Where initial conditions/variables are specified
    ## '<-' or '=' defines population parameters
    ## Simple numeric expressions are supported
    lCl <- 1.6      #log Cl (L/hr)
    lVc <- 4.5  #log V (L)
    ## Bounds may be specified by c(lower, est, upper), like NONMEM:
    ## Residuals errors are assumed to be population parameters
    prop.err <- 0.3
    delta <- c(0.1, 1, 10)
    add.err <- 0.01
    lambda <- c(-2, 1, 2)
    ## Between subject variability estimates are specified by '~'
    ## Semicolons are optional
    eta.Vc ~ 0.1   #IIV V
    eta.Cl ~ 0.1; #IIV Cl
})
model({ ## Where the model is specified
    ## The model uses the ini-defined variable names
    Vc <- exp(lVc + eta.Vc)
    Cl <- exp(lCl + eta.Cl)
    ## RxODE-style differential equations are supported
    d / dt(centr) = -(Cl / Vc) * centr;
    ## Concentration is calculated
    cp = centr / Vc;
    ## And is assumed to follow proportional error estimated by prop.err
    cp ~ pow(prop.err, delta) + add(add.err) + yeoJohnson(lambda)
})}

fitIVyj <- nlmixr(one.compartment.IV.model, datr, "focei")
#>  parameter labels from comments will be replaced by 'label()'
#> → 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
#> 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 |       lCl |       lVc |  prop.err |     delta |
#> |.....................|   add.err |    lambda |        o1 |        o2 |
#> |    1|     64568.832 |   -0.2918 |     1.000 |   -0.8708 |   -0.5590 |
#> |.....................|    -1.000 |   -0.5590 |   -0.2123 |   -0.2123 |
#> |    U|     64568.832 |     1.600 |     4.500 |    0.3000 |     1.000 |
#> |.....................|   0.01000 |     1.000 |     1.778 |     1.778 |
#> |    X|     64568.832 |     4.953 |     90.02 |    0.3000 |     1.000 |
#> |.....................|   0.01000 |     1.000 |     1.778 |     1.778 |
#> |    G|    Gill Diff. |     393.9 |     429.4 |     6520. | 3.615e+04 |
#> |.....................|   0.09466 |-3.587e+04 |     120.1 |     29.07 |
#> |    2| 1.0288594e+12 |   -0.2994 |    0.9916 |   -0.9978 |    -1.263 |
#> |.....................|    -1.000 |    0.1396 |   -0.2147 |   -0.2129 |
#> |    U| 1.0288594e+12 |     1.592 |     4.492 |    0.2619 |    0.2960 |
#> |.....................|   0.01000 |     1.699 |     1.774 |     1.777 |
#> |    X| 1.0288594e+12 |     4.915 |     89.27 |    0.2619 |    0.2960 |
#> |.....................|   0.01000 |     1.699 |     1.774 |     1.777 |
#> |    3|     66770.764 |   -0.2925 |    0.9992 |   -0.8835 |   -0.6294 |
#> |.....................|    -1.000 |   -0.4892 |   -0.2126 |   -0.2124 |
#> |    U|     66770.764 |     1.599 |     4.499 |    0.2962 |    0.9296 |
#> |.....................|   0.01000 |     1.070 |     1.778 |     1.778 |
#> |    X|     66770.764 |     4.949 |     89.94 |    0.2962 |    0.9296 |
#> |.....................|   0.01000 |     1.070 |     1.778 |     1.778 |
#> |    4|     63290.492 |   -0.2920 |    0.9997 |   -0.8753 |   -0.5837 |
#> |.....................|    -1.000 |   -0.5346 |   -0.2124 |   -0.2124 |
#> |    U|     63290.492 |     1.600 |     4.500 |    0.2987 |    0.9754 |
#> |.....................|   0.01000 |     1.024 |     1.778 |     1.778 |
#> |    X|     63290.492 |     4.952 |     89.99 |    0.2987 |    0.9754 |
#> |.....................|   0.01000 |     1.024 |     1.778 |     1.778 |
#> |    M|   Mixed Diff. |     476.4 |     520.7 |     2590. | 1.254e+04 |
#> |.....................|    0.1054 |-1.192e+04 |     199.3 |     92.20 |
#> |    5|     63198.276 |   -0.3056 |    0.9849 |   -0.8921 |   -0.6057 |
#> |.....................|    -1.000 |   -0.5333 |   -0.2187 |   -0.2156 |
#> |    U|     63198.276 |     1.586 |     4.485 |    0.2936 |    0.9533 |
#> |.....................|   0.01000 |     1.026 |     1.767 |     1.772 |
#> |    X|     63198.276 |     4.885 |     88.66 |    0.2936 |    0.9533 |
#> |.....................|   0.01000 |     1.026 |     1.767 |     1.772 |
#> |    F| Forward Diff. |     469.6 |     505.8 |    -881.0 |    -8510. |
#> |.....................|    0.1282 |     9342. |     184.7 |     85.57 |
#> |    6|     63122.208 |   -0.3206 |    0.9686 |   -0.9098 |   -0.6107 |
#> |.....................|    -1.000 |   -0.5521 |   -0.2247 |   -0.2183 |
#> |    U|     63122.208 |     1.571 |     4.469 |    0.2883 |    0.9483 |
#> |.....................|   0.01000 |     1.007 |     1.756 |     1.768 |
#> |    X|     63122.208 |     4.812 |     87.23 |    0.2883 |    0.9483 |
#> |.....................|   0.01000 |     1.007 |     1.756 |     1.768 |
#> |    F| Forward Diff. |     418.5 |     445.5 |     740.6 |     1305. |
#> |.....................|    0.1268 |    -534.4 |     129.0 |     44.35 |
#> |    7|     63088.887 |   -0.3346 |    0.9538 |   -0.9303 |   -0.6236 |
#> |.....................|    -1.000 |   -0.5664 |   -0.2285 |   -0.2194 |
#> |    U|     63088.887 |     1.557 |     4.454 |    0.2822 |    0.9354 |
#> |.....................|   0.01000 |    0.9926 |     1.750 |     1.766 |
#> |    X|     63088.887 |     4.745 |     85.95 |    0.2822 |    0.9354 |
#> |.....................|   0.01000 |    0.9926 |     1.750 |     1.766 |
#> |    8|     63001.136 |   -0.3765 |    0.9095 |   -0.9916 |   -0.6600 |
#> |.....................|    -1.000 |   -0.6121 |   -0.2398 |   -0.2225 |
#> |    U|     63001.136 |     1.515 |     4.410 |    0.2638 |    0.8990 |
#> |.....................|   0.01000 |    0.9469 |     1.729 |     1.760 |
#> |    X|     63001.136 |     4.550 |     82.23 |    0.2638 |    0.8990 |
#> |.....................|   0.01000 |    0.9469 |     1.729 |     1.760 |
#> |    9|     62886.372 |   -0.4913 |    0.7883 |    -1.159 |   -0.7597 |
#> |.....................|    -1.000 |   -0.7371 |   -0.2709 |   -0.2311 |
#> |    U|     62886.372 |     1.400 |     4.288 |    0.2135 |    0.7993 |
#> |.....................|   0.01000 |    0.8219 |     1.674 |     1.745 |
#> |    X|     62886.372 |     4.057 |     72.84 |    0.2135 |    0.7993 |
#> |.....................|   0.01000 |    0.8219 |     1.674 |     1.745 |
#> |    M|   Mixed Diff. |     27.33 |     34.14 |    -2160. |-1.002e+04 |
#> |.....................|    0.1288 | 1.064e+04 |    -127.4 |    -127.2 |
#> |   10|     63023.932 |   -0.5841 |    0.6908 |    -1.050 |    -1.017 |
#> |.....................|    -1.000 |    -1.006 |   -0.1944 |   -0.1421 |
#> |    U|     63023.932 |     1.308 |     4.191 |    0.2463 |    0.5419 |
#> |.....................|  0.009999 |    0.5527 |     1.810 |     1.903 |
#> |    X|     63023.932 |     3.698 |     66.08 |    0.2463 |    0.5419 |
#> |.....................|  0.009999 |    0.5527 |     1.810 |     1.903 |
#> |   11|     63000.944 |   -0.5280 |    0.7497 |    -1.114 |   -0.8521 |
#> |.....................|    -1.000 |   -0.8535 |   -0.2406 |   -0.1958 |
#> |    U|     63000.944 |     1.364 |     4.250 |    0.2271 |    0.7069 |
#> |.....................|  0.009999 |    0.7055 |     1.728 |     1.808 |
#> |    X|     63000.944 |     3.911 |     70.08 |    0.2271 |    0.7069 |
#> |.....................|  0.009999 |    0.7055 |     1.728 |     1.808 |
#> |   12|     63005.195 |   -0.5049 |    0.7740 |    -1.140 |   -0.7841 |
#> |.....................|    -1.000 |   -0.7906 |   -0.2596 |   -0.2179 |
#> |    U|     63005.195 |     1.387 |     4.274 |    0.2191 |    0.7749 |
#> |.....................|   0.01000 |    0.7685 |     1.694 |     1.768 |
#> |    X|     63005.195 |     4.002 |     71.81 |    0.2191 |    0.7749 |
#> |.....................|   0.01000 |    0.7685 |     1.694 |     1.768 |
#> |   13|     63010.268 |   -0.4936 |    0.7859 |    -1.153 |   -0.7508 |
#> |.....................|    -1.000 |   -0.7597 |   -0.2689 |   -0.2287 |
#> |    U|     63010.268 |     1.398 |     4.286 |    0.2152 |    0.8083 |
#> |.....................|   0.01000 |    0.7994 |     1.678 |     1.749 |
#> |    X|     63010.268 |     4.048 |     72.67 |    0.2152 |    0.8083 |
#> |.....................|   0.01000 |    0.7994 |     1.678 |     1.749 |
#> |   14|     62832.106 |   -0.4913 |    0.7882 |    -1.158 |   -0.7534 |
#> |.....................|    -1.000 |   -0.7438 |   -0.2708 |   -0.2310 |
#> |    U|     62832.106 |     1.400 |     4.288 |    0.2139 |    0.8057 |
#> |.....................|   0.01000 |    0.8152 |     1.674 |     1.745 |
#> |    X|     62832.106 |     4.057 |     72.84 |    0.2139 |    0.8057 |
#> |.....................|   0.01000 |    0.8152 |     1.674 |     1.745 |
#> |    F| Forward Diff. |     18.91 |     26.01 |     704.6 |     2154. |
#> |.....................|    0.1358 |    -1471. |    -128.4 |    -128.0 |
#> |   15|     62825.819 |   -0.4908 |    0.7887 |    -1.159 |   -0.7600 |
#> |.....................|    -1.000 |   -0.7486 |   -0.2678 |   -0.2282 |
#> |    U|     62825.819 |     1.401 |     4.289 |    0.2136 |    0.7990 |
#> |.....................|   0.01000 |    0.8104 |     1.680 |     1.750 |
#> |    X|     62825.819 |     4.059 |     72.87 |    0.2136 |    0.7990 |
#> |.....................|   0.01000 |    0.8104 |     1.680 |     1.750 |
#> |    F| Forward Diff. |     21.75 |     28.62 |     297.2 |     408.1 |
#> |.....................|    0.1421 |     279.0 |    -122.9 |    -123.4 |
#> |   16|     62823.067 |   -0.4909 |    0.7886 |    -1.162 |   -0.7664 |
#> |.....................|    -1.000 |   -0.7536 |   -0.2655 |   -0.2259 |
#> |    U|     62823.067 |     1.401 |     4.289 |    0.2125 |    0.7927 |
#> |.....................|   0.01000 |    0.8054 |     1.684 |     1.754 |
#> |    X|     62823.067 |     4.059 |     72.86 |    0.2125 |    0.7927 |
#> |.....................|   0.01000 |    0.8054 |     1.684 |     1.754 |
#> |    F| Forward Diff. |     23.39 |     30.01 |    -154.3 |    -1488. |
#> |.....................|    0.1460 |     2183. |    -118.8 |    -119.7 |
#> |   17|     62817.053 |   -0.4904 |    0.7891 |    -1.163 |   -0.7711 |
#> |.....................|    -1.000 |   -0.7606 |   -0.2626 |   -0.2233 |
#> |    U|     62817.053 |     1.401 |     4.289 |    0.2124 |    0.7880 |
#> |.....................|   0.01000 |    0.7985 |     1.689 |     1.759 |
#> |    X|     62817.053 |     4.061 |     72.90 |    0.2124 |    0.7880 |
#> |.....................|   0.01000 |    0.7985 |     1.689 |     1.759 |
#> |    F| Forward Diff. |     22.69 |     29.48 |     296.4 |     423.2 |
#> |.....................|    0.1510 |     254.3 |    -114.1 |    -115.7 |
#> |   18|     62813.882 |   -0.4903 |    0.7891 |    -1.165 |   -0.7775 |
#> |.....................|    -1.000 |   -0.7658 |   -0.2602 |   -0.2210 |
#> |    U|     62813.882 |     1.401 |     4.289 |    0.2116 |    0.7815 |
#> |.....................|   0.01000 |    0.7932 |     1.693 |     1.763 |
#> |    X|     62813.882 |     4.061 |     72.90 |    0.2116 |    0.7815 |
#> |.....................|   0.01000 |    0.7932 |     1.693 |     1.763 |
#> |    F| Forward Diff. |     24.47 |     31.03 |    -82.41 |    -1167. |
#> |.....................|    0.1555 |     1850. |    -109.8 |    -111.9 |
#> |   19|     62808.616 |   -0.4898 |    0.7896 |    -1.166 |   -0.7826 |
#> |.....................|    -1.000 |   -0.7727 |   -0.2576 |   -0.2185 |
#> |    U|     62808.616 |     1.402 |     4.290 |    0.2116 |    0.7764 |
#> |.....................|   0.01000 |    0.7863 |     1.698 |     1.767 |
#> |    X|     62808.616 |     4.063 |     72.94 |    0.2116 |    0.7764 |
#> |.....................|   0.01000 |    0.7863 |     1.698 |     1.767 |
#> |    F| Forward Diff. |     24.12 |     30.73 |     298.9 |     439.3 |
#> |.....................|    0.1608 |     229.0 |    -105.4 |    -108.2 |
#> |   20|     62805.255 |   -0.4895 |    0.7898 |    -1.167 |   -0.7892 |
#> |.....................|    -1.000 |   -0.7782 |   -0.2553 |   -0.2163 |
#> |    U|     62805.255 |     1.402 |     4.290 |    0.2110 |    0.7698 |
#> |.....................|   0.01000 |    0.7809 |     1.702 |     1.771 |
#> |    X|     62805.255 |     4.064 |     72.95 |    0.2110 |    0.7698 |
#> |.....................|   0.01000 |    0.7809 |     1.702 |     1.771 |
#> |    F| Forward Diff. |     25.94 |     32.38 |    -24.81 |    -921.6 |
#> |.....................|    0.1652 |     1592. |    -101.4 |    -104.6 |
#> |   21|     62800.532 |   -0.4889 |    0.7904 |    -1.167 |   -0.7945 |
#> |.....................|    -1.000 |   -0.7851 |   -0.2531 |   -0.2142 |
#> |    U|     62800.532 |     1.403 |     4.290 |    0.2110 |    0.7645 |
#> |.....................|   0.01000 |    0.7739 |     1.706 |     1.775 |
#> |    X|     62800.532 |     4.067 |     72.99 |    0.2110 |    0.7645 |
#> |.....................|   0.01000 |    0.7739 |     1.706 |     1.775 |
#> |    F| Forward Diff. |     25.92 |     32.40 |     306.4 |     465.8 |
#> |.....................|    0.1705 |     192.5 |    -97.58 |    -101.3 |
#> |   22|     62797.070 |   -0.4885 |    0.7908 |    -1.169 |   -0.8013 |
#> |.....................|    -1.000 |   -0.7908 |   -0.2510 |   -0.2122 |
#> |    U|      62797.07 |     1.403 |     4.291 |    0.2107 |    0.7578 |
#> |.....................|   0.01000 |    0.7683 |     1.709 |     1.778 |
#> |    X|      62797.07 |     4.068 |     73.02 |    0.2107 |    0.7578 |
#> |.....................|   0.01000 |    0.7683 |     1.709 |     1.778 |
#> |    F| Forward Diff. |     27.93 |     34.26 |     35.36 |    -677.5 |
#> |.....................|    0.1751 |     1337. |    -93.89 |    -98.04 |
#> |   23|     62792.827 |   -0.4879 |    0.7915 |    -1.168 |   -0.8069 |
#> |.....................|    -1.000 |   -0.7977 |   -0.2492 |   -0.2105 |
#> |    U|     62792.827 |     1.404 |     4.291 |    0.2107 |    0.7522 |
#> |.....................|   0.01000 |    0.7613 |     1.713 |     1.782 |
#> |    X|     62792.827 |     4.071 |     73.07 |    0.2107 |    0.7522 |
#> |.....................|   0.01000 |    0.7613 |     1.713 |     1.782 |
#> |    F| Forward Diff. |     28.27 |     34.63 |     316.2 |     492.9 |
#> |.....................|    0.1800 |     154.8 |    -90.82 |    -95.28 |
#> |   24|     62789.403 |   -0.4873 |    0.7920 |    -1.169 |   -0.8137 |
#> |.....................|    -1.000 |   -0.8035 |   -0.2475 |   -0.2089 |
#> |    U|     62789.403 |     1.404 |     4.292 |    0.2105 |    0.7453 |
#> |.....................|  0.009999 |    0.7555 |     1.716 |     1.784 |
#> |    X|     62789.403 |     4.073 |     73.12 |    0.2105 |    0.7453 |
#> |.....................|  0.009999 |    0.7555 |     1.716 |     1.784 |
#> |    F| Forward Diff. |     30.52 |     36.76 |     75.25 |    -527.4 |
#> |.....................|    0.1843 |     1175. |    -87.68 |    -92.58 |
#> |   25|     62785.488 |   -0.4865 |    0.7929 |    -1.169 |   -0.8195 |
#> |.....................|    -1.000 |   -0.8104 |   -0.2460 |   -0.2075 |
#> |    U|     62785.488 |     1.405 |     4.293 |    0.2105 |    0.7396 |
#> |.....................|  0.009999 |    0.7486 |     1.718 |     1.787 |
#> |    X|     62785.488 |     4.076 |     73.18 |    0.2105 |    0.7396 |
#> |.....................|  0.009999 |    0.7486 |     1.718 |     1.787 |
#> |    F| Forward Diff. |     31.28 |     37.58 |     327.1 |     518.5 |
#> |.....................|    0.1887 |     117.9 |    -85.20 |    -90.38 |
#> |   26|     62782.148 |   -0.4858 |    0.7937 |    -1.169 |   -0.8263 |
#> |.....................|    -1.000 |   -0.8163 |   -0.2447 |   -0.2062 |
#> |    U|     62782.148 |     1.406 |     4.294 |    0.2104 |    0.7327 |
#> |.....................|  0.009999 |    0.7427 |     1.721 |     1.789 |
#> |    X|     62782.148 |     4.079 |     73.24 |    0.2104 |    0.7327 |
#> |.....................|  0.009999 |    0.7427 |     1.721 |     1.789 |
#> |    F| Forward Diff. |     33.83 |     40.07 |     104.4 |    -427.3 |
#> |.....................|    0.1926 |     1064. |    -82.57 |    -88.17 |
#> |   27|     62775.171 |   -0.4840 |    0.7958 |    -1.169 |   -0.8387 |
#> |.....................|    -1.000 |   -0.8296 |   -0.2422 |   -0.2039 |
#> |    U|     62775.171 |     1.408 |     4.296 |    0.2106 |    0.7204 |
#> |.....................|  0.009999 |    0.7295 |     1.725 |     1.793 |
#> |    X|     62775.171 |     4.087 |     73.39 |    0.2106 |    0.7204 |
#> |.....................|  0.009999 |    0.7295 |     1.725 |     1.793 |
#> |   28|     62767.621 |   -0.4818 |    0.7983 |    -1.168 |   -0.8538 |
#> |.....................|    -1.000 |   -0.8445 |   -0.2392 |   -0.2013 |
#> |    U|     62767.621 |     1.410 |     4.298 |    0.2108 |    0.7053 |
#> |.....................|  0.009999 |    0.7145 |     1.730 |     1.798 |
#> |    X|     62767.621 |     4.096 |     73.58 |    0.2108 |    0.7053 |
#> |.....................|  0.009999 |    0.7145 |     1.730 |     1.798 |
#> |   29|     62751.407 |   -0.4768 |    0.8041 |    -1.166 |   -0.8883 |
#> |.....................|    -1.000 |   -0.8787 |   -0.2326 |   -0.1953 |
#> |    U|     62751.407 |     1.415 |     4.304 |    0.2114 |    0.6707 |
#> |.....................|  0.009999 |    0.6804 |     1.742 |     1.809 |
#> |    X|     62751.407 |     4.116 |     74.00 |    0.2114 |    0.6707 |
#> |.....................|  0.009999 |    0.6804 |     1.742 |     1.809 |
#> |   30|     62725.011 |   -0.4674 |    0.8149 |    -1.163 |   -0.9528 |
#> |.....................|    -1.000 |   -0.9424 |   -0.2202 |   -0.1842 |
#> |    U|     62725.011 |     1.424 |     4.315 |    0.2124 |    0.6063 |
#> |.....................|  0.009998 |    0.6166 |     1.764 |     1.828 |
#> |    X|     62725.011 |     4.155 |     74.81 |    0.2124 |    0.6063 |
#> |.....................|  0.009998 |    0.6166 |     1.764 |     1.828 |
#> |    F| Forward Diff. |     78.30 |     86.51 |     508.6 |     971.1 |
#> |.....................|    0.2291 |    -451.3 |    -35.26 |    -49.56 |
#> |   31|     62755.647 |   -0.5563 |    0.7451 |    -1.155 |   -0.9528 |
#> |.....................|    -1.004 |   -0.9345 |  -0.09571 |   -0.1106 |
#> |    U|     62755.647 |     1.335 |     4.245 |    0.2146 |    0.6062 |
#> |.....................|  0.009979 |    0.6245 |     1.986 |     1.959 |
#> |    X|     62755.647 |     3.802 |     69.76 |    0.2146 |    0.6062 |
#> |.....................|  0.009979 |    0.6245 |     1.986 |     1.959 |
#> |   32|     62733.330 |   -0.4854 |    0.8007 |    -1.163 |   -0.9557 |
#> |.....................|    -1.001 |   -0.9395 |   -0.1952 |   -0.1693 |
#> |    U|      62733.33 |     1.406 |     4.301 |    0.2124 |    0.6033 |
#> |.....................|  0.009994 |    0.6196 |     1.809 |     1.855 |
#> |    X|      62733.33 |     4.081 |     73.75 |    0.2124 |    0.6033 |
#> |.....................|  0.009994 |    0.6196 |     1.809 |     1.855 |
#> |   33|     62734.499 |   -0.4715 |    0.8116 |    -1.164 |   -0.9563 |
#> |.....................|    -1.001 |   -0.9404 |   -0.2146 |   -0.1808 |
#> |    U|     62734.499 |     1.420 |     4.312 |    0.2119 |    0.6027 |
#> |.....................|  0.009997 |    0.6186 |     1.774 |     1.834 |
#> |    X|     62734.499 |     4.138 |     74.56 |    0.2119 |    0.6027 |
#> |.....................|  0.009997 |    0.6186 |     1.774 |     1.834 |
#> |   34|     62725.362 |   -0.4675 |    0.8148 |    -1.164 |   -0.9543 |
#> |.....................|    -1.000 |   -0.9417 |   -0.2201 |   -0.1841 |
#> |    U|     62725.362 |     1.424 |     4.315 |    0.2122 |    0.6048 |
#> |.....................|  0.009998 |    0.6173 |     1.764 |     1.828 |
#> |    X|     62725.362 |     4.155 |     74.80 |    0.2122 |    0.6048 |
#> |.....................|  0.009998 |    0.6173 |     1.764 |     1.828 |
#> |   35|     62724.552 |   -0.4674 |    0.8148 |    -1.163 |   -0.9534 |
#> |.....................|    -1.000 |   -0.9421 |   -0.2201 |   -0.1842 |
#> |    U|     62724.552 |     1.424 |     4.315 |    0.2123 |    0.6056 |
#> |.....................|  0.009998 |    0.6169 |     1.764 |     1.828 |
#> |    X|     62724.552 |     4.155 |     74.80 |    0.2123 |    0.6056 |
#> |.....................|  0.009998 |    0.6169 |     1.764 |     1.828 |
#> |    F| Forward Diff. |     78.94 |     87.09 |     298.6 |     80.70 |
#> |.....................|    0.2285 |     443.2 |    -35.08 |    -49.39 |
#> |   36|     62724.246 |   -0.4675 |    0.8147 |    -1.164 |   -0.9535 |
#> |.....................|    -1.000 |   -0.9427 |   -0.2201 |   -0.1841 |
#> |    U|     62724.246 |     1.424 |     4.315 |    0.2122 |    0.6055 |
#> |.....................|  0.009998 |    0.6163 |     1.765 |     1.829 |
#> |    X|     62724.246 |     4.155 |     74.79 |    0.2122 |    0.6055 |
#> |.....................|  0.009998 |    0.6163 |     1.765 |     1.829 |
#> |    F| Forward Diff. |     78.32 |     86.49 |     383.4 |     445.1 |
#> |.....................|    0.2286 |     76.43 |    -35.13 |    -49.35 |
#> |   37|     62723.979 |   -0.4676 |    0.8146 |    -1.164 |   -0.9541 |
#> |.....................|    -1.000 |   -0.9428 |   -0.2200 |   -0.1840 |
#> |    U|     62723.979 |     1.424 |     4.315 |    0.2120 |    0.6049 |
#> |.....................|  0.009998 |    0.6162 |     1.765 |     1.829 |
#> |    X|     62723.979 |     4.154 |     74.78 |    0.2120 |    0.6049 |
#> |.....................|  0.009998 |    0.6162 |     1.765 |     1.829 |
#> |    F| Forward Diff. |     78.50 |     86.64 |     259.3 |    -77.64 |
#> |.....................|    0.2283 |     601.6 |    -34.99 |    -49.21 |
#> |   38|     62723.726 |   -0.4677 |    0.8145 |    -1.164 |   -0.9540 |
#> |.....................|    -1.000 |   -0.9436 |   -0.2200 |   -0.1840 |
#> |    U|     62723.726 |     1.424 |     4.314 |    0.2119 |    0.6050 |
#> |.....................|  0.009998 |    0.6155 |     1.765 |     1.829 |
#> |    X|     62723.726 |     4.154 |     74.78 |    0.2119 |    0.6050 |
#> |.....................|  0.009998 |    0.6155 |     1.765 |     1.829 |
#> |    F| Forward Diff. |     77.73 |     85.92 |     408.6 |     559.3 |
#> |.....................|    0.2288 |    -38.26 |    -35.09 |    -49.25 |
#> |   39|     62723.481 |   -0.4678 |    0.8144 |    -1.165 |   -0.9547 |
#> |.....................|    -1.000 |   -0.9435 |   -0.2200 |   -0.1839 |
#> |    U|     62723.481 |     1.424 |     4.314 |    0.2118 |    0.6044 |
#> |.....................|  0.009998 |    0.6155 |     1.765 |     1.829 |
#> |    X|     62723.481 |     4.154 |     74.77 |    0.2118 |    0.6044 |
#> |.....................|  0.009998 |    0.6155 |     1.765 |     1.829 |
#> |    F| Forward Diff. |     78.07 |     86.21 |     247.5 |    -120.3 |
#> |.....................|    0.2283 |     644.3 |    -34.92 |    -49.10 |
#> |   40|     62723.231 |   -0.4679 |    0.8143 |    -1.165 |   -0.9545 |
#> |.....................|    -1.000 |   -0.9442 |   -0.2199 |   -0.1839 |
#> |    U|     62723.231 |     1.424 |     4.314 |    0.2117 |    0.6045 |
#> |.....................|  0.009998 |    0.6148 |     1.765 |     1.829 |
#> |    X|     62723.231 |     4.153 |     74.76 |    0.2117 |    0.6045 |
#> |.....................|  0.009998 |    0.6148 |     1.765 |     1.829 |
#> |    F| Forward Diff. |     77.27 |     85.47 |     408.9 |     566.5 |
#> |.....................|    0.2288 |    -45.63 |    -35.01 |    -49.11 |
#> |   41|     62722.987 |   -0.4680 |    0.8142 |    -1.166 |   -0.9551 |
#> |.....................|    -1.000 |   -0.9442 |   -0.2199 |   -0.1838 |
#> |    U|     62722.987 |     1.424 |     4.314 |    0.2116 |    0.6039 |
#> |.....................|  0.009998 |    0.6148 |     1.765 |     1.829 |
#> |    X|     62722.987 |     4.153 |     74.75 |    0.2116 |    0.6039 |
#> |.....................|  0.009998 |    0.6148 |     1.765 |     1.829 |
#> |    F| Forward Diff. |     77.62 |     85.77 |     245.6 |    -121.5 |
#> |.....................|    0.2283 |     645.2 |    -34.85 |    -48.96 |
#> |   42|     62722.739 |   -0.4681 |    0.8141 |    -1.166 |   -0.9550 |
#> |.....................|    -1.000 |   -0.9449 |   -0.2198 |   -0.1837 |
#> |    U|     62722.739 |     1.424 |     4.314 |    0.2115 |    0.6040 |
#> |.....................|  0.009998 |    0.6141 |     1.765 |     1.829 |
#> |    X|     62722.739 |     4.152 |     74.75 |    0.2115 |    0.6040 |
#> |.....................|  0.009998 |    0.6141 |     1.765 |     1.829 |
#> |    F| Forward Diff. |     76.82 |     85.03 |     407.6 |     567.4 |
#> |.....................|    0.2288 |    -46.78 |    -34.94 |    -49.03 |
#> |   43|     62722.497 |   -0.4681 |    0.8140 |    -1.166 |   -0.9556 |
#> |.....................|    -1.000 |   -0.9449 |   -0.2198 |   -0.1837 |
#> |    U|     62722.497 |     1.424 |     4.314 |    0.2114 |    0.6034 |
#> |.....................|  0.009998 |    0.6142 |     1.765 |     1.829 |
#> |    X|     62722.497 |     4.152 |     74.74 |    0.2114 |    0.6034 |
#> |.....................|  0.009998 |    0.6142 |     1.765 |     1.829 |
#> |    F| Forward Diff. |     77.18 |     85.33 |     243.7 |    -122.4 |
#> |.....................|    0.2283 |     645.7 |    -34.79 |    -48.83 |
#> |   44|     62722.249 |   -0.4682 |    0.8139 |    -1.167 |   -0.9555 |
#> |.....................|    -1.000 |   -0.9456 |   -0.2198 |   -0.1836 |
#> |    U|     62722.249 |     1.424 |     4.314 |    0.2113 |    0.6035 |
#> |.....................|  0.009998 |    0.6134 |     1.765 |     1.829 |
#> |    X|     62722.249 |     4.152 |     74.73 |    0.2113 |    0.6035 |
#> |.....................|  0.009998 |    0.6134 |     1.765 |     1.829 |
#> |    F| Forward Diff. |     76.38 |     84.59 |     406.4 |     568.5 |
#> |.....................|    0.2288 |    -48.39 |    -34.88 |    -48.86 |
#> |   45|     62722.009 |   -0.4683 |    0.8138 |    -1.167 |   -0.9561 |
#> |.....................|    -1.000 |   -0.9455 |   -0.2197 |   -0.1836 |
#> |    U|     62722.009 |     1.423 |     4.314 |    0.2111 |    0.6029 |
#> |.....................|  0.009998 |    0.6135 |     1.765 |     1.829 |
#> |    X|     62722.009 |     4.151 |     74.73 |    0.2111 |    0.6029 |
#> |.....................|  0.009998 |    0.6135 |     1.765 |     1.829 |
#> |    F| Forward Diff. |     76.74 |     84.90 |     241.8 |    -123.7 |
#> |.....................|    0.2283 |     646.8 |    -34.74 |    -48.71 |
#> |   46|     62721.763 |   -0.4684 |    0.8137 |    -1.167 |   -0.9560 |
#> |.....................|    -1.000 |   -0.9462 |   -0.2197 |   -0.1835 |
#> |    U|     62721.763 |     1.423 |     4.314 |    0.2111 |    0.6030 |
#> |.....................|  0.009998 |    0.6128 |     1.765 |     1.830 |
#> |    X|     62721.763 |     4.151 |     74.72 |    0.2111 |    0.6030 |
#> |.....................|  0.009998 |    0.6128 |     1.765 |     1.830 |
#> |    F| Forward Diff. |     75.93 |     84.15 |     405.1 |     569.4 |
#> |.....................|    0.2288 |    -49.59 |    -34.81 |    -48.80 |
#> |   47|     62721.524 |   -0.4685 |    0.8136 |    -1.168 |   -0.9566 |
#> |.....................|    -1.000 |   -0.9462 |   -0.2196 |   -0.1835 |
#> |    U|     62721.524 |     1.423 |     4.314 |    0.2109 |    0.6024 |
#> |.....................|  0.009998 |    0.6128 |     1.765 |     1.830 |
#> |    X|     62721.524 |     4.151 |     74.71 |    0.2109 |    0.6024 |
#> |.....................|  0.009998 |    0.6128 |     1.765 |     1.830 |
#> |    F| Forward Diff. |     76.29 |     84.46 |     239.9 |    -124.5 |
#> |.....................|    0.2283 |     647.4 |    -34.68 |    -48.58 |
#> |   48|     62721.280 |   -0.4686 |    0.8135 |    -1.168 |   -0.9565 |
#> |.....................|    -1.000 |   -0.9469 |   -0.2196 |   -0.1834 |
#> |    U|      62721.28 |     1.423 |     4.314 |    0.2108 |    0.6025 |
#> |.....................|  0.009998 |    0.6121 |     1.765 |     1.830 |
#> |    X|      62721.28 |     4.150 |     74.70 |    0.2108 |    0.6025 |
#> |.....................|  0.009998 |    0.6121 |     1.765 |     1.830 |
#> |    F| Forward Diff. |     75.49 |     83.71 |     403.9 |     570.4 |
#> |.....................|    0.2288 |    -50.64 |    -34.74 |    -48.63 |
#> |   49|     62721.043 |   -0.4687 |    0.8135 |    -1.168 |   -0.9571 |
#> |.....................|    -1.000 |   -0.9468 |   -0.2196 |   -0.1834 |
#> |    U|     62721.043 |     1.423 |     4.313 |    0.2107 |    0.6019 |
#> |.....................|  0.009998 |    0.6122 |     1.765 |     1.830 |
#> |    X|     62721.043 |     4.150 |     74.70 |    0.2107 |    0.6019 |
#> |.....................|  0.009998 |    0.6122 |     1.765 |     1.830 |
#> |    F| Forward Diff. |     75.85 |     84.02 |     238.0 |    -125.3 |
#> |.....................|    0.2283 |     648.1 |    -34.62 |    -48.50 |
#> |   50|     62720.799 |   -0.4687 |    0.8134 |    -1.169 |   -0.9570 |
#> |.....................|    -1.000 |   -0.9476 |   -0.2195 |   -0.1833 |
#> |    U|     62720.799 |     1.423 |     4.313 |    0.2106 |    0.6020 |
#> |.....................|  0.009998 |    0.6115 |     1.766 |     1.830 |
#> |    X|     62720.799 |     4.150 |     74.69 |    0.2106 |    0.6020 |
#> |.....................|  0.009998 |    0.6115 |     1.766 |     1.830 |
#> |    F| Forward Diff. |     75.05 |     83.27 |     402.6 |     571.3 |
#> |.....................|    0.2288 |    -51.83 |    -34.67 |    -48.49 |
#> |   51|     62720.564 |   -0.4688 |    0.8133 |    -1.169 |   -0.9576 |
#> |.....................|    -1.000 |   -0.9475 |   -0.2195 |   -0.1833 |
#> |    U|     62720.564 |     1.423 |     4.313 |    0.2105 |    0.6014 |
#> |.....................|  0.009998 |    0.6115 |     1.766 |     1.830 |
#> |    X|     62720.564 |     4.149 |     74.68 |    0.2105 |    0.6014 |
#> |.....................|  0.009998 |    0.6115 |     1.766 |     1.830 |
#> |    F| Forward Diff. |     75.42 |     83.58 |     236.2 |    -126.3 |
#> |.....................|    0.2283 |     648.7 |    -34.56 |    -48.34 |
#> |   52|     62720.322 |   -0.4689 |    0.8132 |    -1.169 |   -0.9575 |
#> |.....................|    -1.000 |   -0.9482 |   -0.2194 |   -0.1832 |
#> |    U|     62720.322 |     1.423 |     4.313 |    0.2104 |    0.6015 |
#> |.....................|  0.009998 |    0.6108 |     1.766 |     1.830 |
#> |    X|     62720.322 |     4.149 |     74.68 |    0.2104 |    0.6015 |
#> |.....................|  0.009998 |    0.6108 |     1.766 |     1.830 |
#> |    F| Forward Diff. |     74.62 |     82.85 |     401.4 |     572.2 |
#> |.....................|    0.2289 |    -52.91 |    -34.61 |    -48.41 |
#> |   53|     62720.087 |   -0.4690 |    0.8131 |    -1.170 |   -0.9581 |
#> |.....................|    -1.000 |   -0.9482 |   -0.2194 |   -0.1831 |
#> |    U|     62720.087 |     1.423 |     4.313 |    0.2103 |    0.6009 |
#> |.....................|  0.009998 |    0.6108 |     1.766 |     1.830 |
#> |    X|     62720.087 |     4.149 |     74.67 |    0.2103 |    0.6009 |
#> |.....................|  0.009998 |    0.6108 |     1.766 |     1.830 |
#> |    F| Forward Diff. |     74.98 |     83.16 |     234.3 |    -127.1 |
#> |.....................|    0.2283 |     649.1 |    -34.45 |    -48.23 |
#> |   54|     62719.847 |   -0.4691 |    0.8130 |    -1.170 |   -0.9580 |
#> |.....................|    -1.000 |   -0.9489 |   -0.2194 |   -0.1831 |
#> |    U|     62719.847 |     1.423 |     4.313 |    0.2102 |    0.6010 |
#> |.....................|  0.009998 |    0.6101 |     1.766 |     1.830 |
#> |    X|     62719.847 |     4.148 |     74.66 |    0.2102 |    0.6010 |
#> |.....................|  0.009998 |    0.6101 |     1.766 |     1.830 |
#> |    F| Forward Diff. |     74.18 |     82.42 |     400.1 |     573.2 |
#> |.....................|    0.2289 |    -54.22 |    -34.56 |    -48.28 |
#> |   55|     62719.614 |   -0.4692 |    0.8129 |    -1.171 |   -0.9586 |
#> |.....................|    -1.000 |   -0.9488 |   -0.2193 |   -0.1830 |
#> |    U|     62719.614 |     1.423 |     4.313 |    0.2101 |    0.6004 |
#> |.....................|  0.009998 |    0.6102 |     1.766 |     1.830 |
#> |    X|     62719.614 |     4.148 |     74.66 |    0.2101 |    0.6004 |
#> |.....................|  0.009998 |    0.6102 |     1.766 |     1.830 |
#> |    F| Forward Diff. |     74.55 |     82.73 |     232.5 |    -128.0 |
#> |.....................|    0.2282 |     649.8 |    -34.40 |    -48.11 |
#> |   56|     62719.374 |   -0.4692 |    0.8128 |    -1.171 |   -0.9585 |
#> |.....................|    -1.000 |   -0.9496 |   -0.2193 |   -0.1830 |
#> |    U|     62719.374 |     1.423 |     4.313 |    0.2100 |    0.6005 |
#> |.....................|  0.009998 |    0.6095 |     1.766 |     1.830 |
#> |    X|     62719.374 |     4.148 |     74.65 |    0.2100 |    0.6005 |
#> |.....................|  0.009998 |    0.6095 |     1.766 |     1.830 |
#> |    F| Forward Diff. |     73.73 |     81.97 |     398.7 |     573.0 |
#> |.....................|    0.2288 |    -54.52 |    -34.47 |    -48.17 |
#> |   57|     62719.143 |   -0.4693 |    0.8127 |    -1.171 |   -0.9591 |
#> |.....................|    -1.000 |   -0.9495 |   -0.2193 |   -0.1829 |
#> |    U|     62719.143 |     1.422 |     4.313 |    0.2099 |    0.5999 |
#> |.....................|  0.009998 |    0.6095 |     1.766 |     1.831 |
#> |    X|     62719.143 |     4.147 |     74.64 |    0.2099 |    0.5999 |
#> |.....................|  0.009998 |    0.6095 |     1.766 |     1.831 |
#> |    F| Forward Diff. |     74.10 |     82.29 |     230.6 |    -128.9 |
#> |.....................|    0.2283 |     650.2 |    -34.32 |    -48.02 |
#> |   58|     62718.903 |   -0.4694 |    0.8126 |    -1.172 |   -0.9590 |
#> |.....................|    -1.000 |   -0.9502 |   -0.2192 |   -0.1829 |
#> |    U|     62718.903 |     1.422 |     4.313 |    0.2098 |    0.6000 |
#> |.....................|  0.009998 |    0.6088 |     1.766 |     1.831 |
#> |    X|     62718.903 |     4.147 |     74.63 |    0.2098 |    0.6000 |
#> |.....................|  0.009998 |    0.6088 |     1.766 |     1.831 |
#> |    F| Forward Diff. |     73.24 |     81.50 |     396.6 |     570.4 |
#> |.....................|    0.2289 |    -52.03 |    -34.42 |    -48.05 |
#> |   59|     62718.672 |   -0.4695 |    0.8125 |    -1.172 |   -0.9596 |
#> |.....................|    -1.000 |   -0.9502 |   -0.2192 |   -0.1828 |
#> |    U|     62718.672 |     1.422 |     4.312 |    0.2097 |    0.5994 |
#> |.....................|  0.009998 |    0.6089 |     1.766 |     1.831 |
#> |    X|     62718.672 |     4.146 |     74.63 |    0.2097 |    0.5994 |
#> |.....................|  0.009998 |    0.6089 |     1.766 |     1.831 |
#> |    F| Forward Diff. |     73.60 |     81.81 |     228.9 |    -129.5 |
#> |.....................|    0.2283 |     650.7 |    -34.24 |    -47.89 |
#> |   60|     62718.432 |   -0.4696 |    0.8124 |    -1.172 |   -0.9595 |
#> |.....................|    -1.000 |   -0.9509 |   -0.2191 |   -0.1828 |
#> |    U|     62718.432 |     1.422 |     4.312 |    0.2096 |    0.5995 |
#> |.....................|  0.009998 |    0.6081 |     1.766 |     1.831 |
#> |    X|     62718.432 |     4.146 |     74.62 |    0.2096 |    0.5995 |
#> |.....................|  0.009998 |    0.6081 |     1.766 |     1.831 |
#> |    F| Forward Diff. |     72.71 |     81.00 |     394.6 |     567.8 |
#> |.....................|    0.2289 |    -49.96 |    -34.31 |    -47.92 |
#> |   61|     62718.204 |   -0.4697 |    0.8123 |    -1.173 |   -0.9602 |
#> |.....................|    -1.000 |   -0.9508 |   -0.2191 |   -0.1827 |
#> |    U|     62718.204 |     1.422 |     4.312 |    0.2095 |    0.5989 |
#> |.....................|  0.009998 |    0.6082 |     1.766 |     1.831 |
#> |    X|     62718.204 |     4.146 |     74.61 |    0.2095 |    0.5989 |
#> |.....................|  0.009998 |    0.6082 |     1.766 |     1.831 |
#> |    F| Forward Diff. |     73.07 |     81.31 |     227.1 |    -130.5 |
#> |.....................|    0.2283 |     651.5 |    -34.13 |    -47.74 |
#> |   62|     62717.963 |   -0.4699 |    0.8121 |    -1.173 |   -0.9600 |
#> |.....................|    -1.000 |   -0.9516 |   -0.2190 |   -0.1827 |
#> |    U|     62717.963 |     1.422 |     4.312 |    0.2094 |    0.5990 |
#> |.....................|  0.009998 |    0.6075 |     1.766 |     1.831 |
#> |    X|     62717.963 |     4.145 |     74.60 |    0.2094 |    0.5990 |
#> |.....................|  0.009998 |    0.6075 |     1.766 |     1.831 |
#> |    F| Forward Diff. |     72.15 |     80.48 |     392.5 |     564.8 |
#> |.....................|    0.2288 |    -46.84 |    -34.19 |    -47.81 |
#> |   63|     62717.736 |   -0.4699 |    0.8121 |    -1.173 |   -0.9607 |
#> |.....................|    -1.000 |   -0.9515 |   -0.2190 |   -0.1826 |
#> |    U|     62717.736 |     1.422 |     4.312 |    0.2093 |    0.5983 |
#> |.....................|  0.009998 |    0.6075 |     1.766 |     1.831 |
#> |    X|     62717.736 |     4.145 |     74.59 |    0.2093 |    0.5983 |
#> |.....................|  0.009998 |    0.6075 |     1.766 |     1.831 |
#> |    F| Forward Diff. |     72.51 |     80.78 |     225.3 |    -131.6 |
#> |.....................|    0.2282 |     652.0 |    -34.06 |    -47.67 |
#> |   64|     62717.496 |   -0.4701 |    0.8119 |    -1.174 |   -0.9606 |
#> |.....................|    -1.000 |   -0.9522 |   -0.2189 |   -0.1826 |
#> |    U|     62717.496 |     1.422 |     4.312 |    0.2092 |    0.5985 |
#> |.....................|  0.009998 |    0.6068 |     1.767 |     1.831 |
#> |    X|     62717.496 |     4.144 |     74.58 |    0.2092 |    0.5985 |
#> |.....................|  0.009998 |    0.6068 |     1.767 |     1.831 |
#> |    F| Forward Diff. |     71.58 |     79.94 |     390.7 |     562.8 |
#> |.....................|    0.2288 |    -45.43 |    -34.13 |    -47.70 |
#> |   65|     62717.271 |   -0.4702 |    0.8118 |    -1.174 |   -0.9612 |
#> |.....................|    -1.000 |   -0.9522 |   -0.2189 |   -0.1825 |
#> |    U|     62717.271 |     1.422 |     4.312 |    0.2091 |    0.5978 |
#> |.....................|  0.009998 |    0.6068 |     1.767 |     1.831 |
#> |    X|     62717.271 |     4.144 |     74.58 |    0.2091 |    0.5978 |
#> |.....................|  0.009998 |    0.6068 |     1.767 |     1.831 |
#> |    F| Forward Diff. |     71.92 |     80.24 |     223.7 |    -132.0 |
#> |.....................|    0.2282 |     652.1 |    -34.00 |    -47.56 |
#> |   66|     62717.031 |   -0.4703 |    0.8117 |    -1.174 |   -0.9611 |
#> |.....................|    -1.000 |   -0.9529 |   -0.2188 |   -0.1825 |
#> |    U|     62717.031 |     1.421 |     4.312 |    0.2090 |    0.5979 |
#> |.....................|  0.009998 |    0.6061 |     1.767 |     1.831 |
#> |    X|     62717.031 |     4.143 |     74.56 |    0.2090 |    0.5979 |
#> |.....................|  0.009998 |    0.6061 |     1.767 |     1.831 |
#> |    F| Forward Diff. |     70.97 |     79.38 |     388.8 |     560.2 |
#> |.....................|    0.2288 |    -43.07 |    -34.06 |    -47.62 |
#> |   67|     62716.807 |   -0.4704 |    0.8116 |    -1.175 |   -0.9617 |
#> |.....................|    -1.000 |   -0.9529 |   -0.2188 |   -0.1824 |
#> |    U|     62716.807 |     1.421 |     4.312 |    0.2089 |    0.5973 |
#> |.....................|  0.009998 |    0.6061 |     1.767 |     1.832 |
#> |    X|     62716.807 |     4.143 |     74.56 |    0.2089 |    0.5973 |
#> |.....................|  0.009998 |    0.6061 |     1.767 |     1.832 |
#> |    F| Forward Diff. |     71.32 |     79.67 |     222.1 |    -132.9 |
#> |.....................|    0.2282 |     652.7 |    -33.90 |    -47.48 |
#> |   68|     62716.568 |   -0.4705 |    0.8114 |    -1.175 |   -0.9616 |
#> |.....................|    -1.000 |   -0.9536 |   -0.2187 |   -0.1824 |
#> |    U|     62716.568 |     1.421 |     4.311 |    0.2088 |    0.5974 |
#> |.....................|  0.009998 |    0.6054 |     1.767 |     1.832 |
#> |    X|     62716.568 |     4.142 |     74.55 |    0.2088 |    0.5974 |
#> |.....................|  0.009998 |    0.6054 |     1.767 |     1.832 |
#> |    F| Forward Diff. |     70.35 |     78.79 |     387.0 |     557.8 |
#> |.....................|    0.2288 |    -41.26 |    -33.96 |    -47.54 |
#> |   69|     62716.345 |   -0.4706 |    0.8113 |    -1.175 |   -0.9623 |
#> |.....................|    -1.000 |   -0.9536 |   -0.2187 |   -0.1823 |
#> |    U|     62716.345 |     1.421 |     4.311 |    0.2087 |    0.5967 |
#> |.....................|  0.009998 |    0.6054 |     1.767 |     1.832 |
#> |    X|     62716.345 |     4.142 |     74.54 |    0.2087 |    0.5967 |
#> |.....................|  0.009998 |    0.6054 |     1.767 |     1.832 |
#> |    F| Forward Diff. |     70.69 |     79.09 |     220.5 |    -133.6 |
#> |.....................|    0.2282 |     653.1 |    -33.83 |    -47.38 |
#> |   70|     62716.107 |   -0.4708 |    0.8112 |    -1.175 |   -0.9622 |
#> |.....................|    -1.000 |   -0.9543 |   -0.2187 |   -0.1823 |
#> |    U|     62716.107 |     1.421 |     4.311 |    0.2086 |    0.5968 |
#> |.....................|  0.009998 |    0.6047 |     1.767 |     1.832 |
#> |    X|     62716.107 |     4.141 |     74.53 |    0.2086 |    0.5968 |
#> |.....................|  0.009998 |    0.6047 |     1.767 |     1.832 |
#> |    F| Forward Diff. |     69.71 |     78.20 |     385.0 |     554.9 |
#> |.....................|    0.2288 |    -38.67 |    -33.95 |    -47.47 |
#> |   71|     62715.886 |   -0.4709 |    0.8111 |    -1.176 |   -0.9628 |
#> |.....................|    -1.000 |   -0.9543 |   -0.2186 |   -0.1822 |
#> |    U|     62715.886 |     1.421 |     4.311 |    0.2085 |    0.5962 |
#> |.....................|  0.009998 |    0.6048 |     1.767 |     1.832 |
#> |    X|     62715.886 |     4.141 |     74.52 |    0.2085 |    0.5962 |
#> |.....................|  0.009998 |    0.6048 |     1.767 |     1.832 |
#> |    F| Forward Diff. |     70.07 |     78.49 |     218.7 |    -134.9 |
#> |.....................|    0.2282 |     654.1 |    -33.78 |    -47.31 |
#> |   72|     62715.648 |   -0.4710 |    0.8109 |    -1.176 |   -0.9628 |
#> |.....................|    -1.000 |   -0.9550 |   -0.2186 |   -0.1822 |
#> |    U|     62715.648 |     1.421 |     4.311 |    0.2085 |    0.5963 |
#> |.....................|  0.009998 |    0.6040 |     1.767 |     1.832 |
#> |    X|     62715.648 |     4.140 |     74.51 |    0.2085 |    0.5963 |
#> |.....................|  0.009998 |    0.6040 |     1.767 |     1.832 |
#> |    F| Forward Diff. |     69.08 |     77.58 |     383.1 |     552.2 |
#> |.....................|    0.2288 |    -36.26 |    -33.86 |    -47.40 |
#> |   73|     62715.429 |   -0.4711 |    0.8108 |    -1.176 |   -0.9634 |
#> |.....................|    -1.000 |   -0.9550 |   -0.2185 |   -0.1821 |
#> |    U|     62715.429 |     1.421 |     4.311 |    0.2083 |    0.5956 |
#> |.....................|  0.009998 |    0.6041 |     1.767 |     1.832 |
#> |    X|     62715.429 |     4.140 |     74.50 |    0.2083 |    0.5956 |
#> |.....................|  0.009998 |    0.6041 |     1.767 |     1.832 |
#> |    F| Forward Diff. |     69.43 |     77.90 |     217.1 |    -136.0 |
#> |.....................|    0.2282 |     654.9 |    -33.71 |    -47.25 |
#> |   74|     62715.191 |   -0.4713 |    0.8106 |    -1.177 |   -0.9633 |
#> |.....................|    -1.000 |   -0.9557 |   -0.2185 |   -0.1821 |
#> |    U|     62715.191 |     1.421 |     4.311 |    0.2083 |    0.5957 |
#> |.....................|  0.009998 |    0.6033 |     1.767 |     1.832 |
#> |    X|     62715.191 |     4.139 |     74.49 |    0.2083 |    0.5957 |
#> |.....................|  0.009998 |    0.6033 |     1.767 |     1.832 |
#> |    F| Forward Diff. |     68.43 |     76.98 |     381.3 |     549.4 |
#> |.....................|    0.2288 |    -33.76 |    -33.85 |    -47.33 |
#> |   75|     62714.974 |   -0.4713 |    0.8105 |    -1.177 |   -0.9640 |
#> |.....................|    -1.000 |   -0.9557 |   -0.2185 |   -0.1821 |
#> |    U|     62714.974 |     1.420 |     4.311 |    0.2081 |    0.5951 |
#> |.....................|  0.009998 |    0.6034 |     1.767 |     1.832 |
#> |    X|     62714.974 |     4.139 |     74.48 |    0.2081 |    0.5951 |
#> |.....................|  0.009998 |    0.6034 |     1.767 |     1.832 |
#> |    F| Forward Diff. |     68.79 |     77.28 |     215.6 |    -136.8 |
#> |.....................|    0.2282 |     655.2 |    -33.68 |    -47.17 |
#> |   76|     62714.737 |   -0.4715 |    0.8104 |    -1.177 |   -0.9639 |
#> |.....................|    -1.000 |   -0.9564 |   -0.2184 |   -0.1820 |
#> |    U|     62714.737 |     1.420 |     4.310 |    0.2081 |    0.5951 |
#> |.....................|  0.009998 |    0.6026 |     1.767 |     1.832 |
#> |    X|     62714.737 |     4.138 |     74.47 |    0.2081 |    0.5951 |
#> |.....................|  0.009998 |    0.6026 |     1.767 |     1.832 |
#> |    F| Forward Diff. |     67.79 |     76.36 |     379.6 |     547.3 |
#> |.....................|    0.2288 |    -32.02 |    -33.80 |    -47.26 |
#> |   77|     62714.521 |   -0.4716 |    0.8103 |    -1.178 |   -0.9645 |
#> |.....................|    -1.000 |   -0.9564 |   -0.2184 |   -0.1820 |
#> |    U|     62714.521 |     1.420 |     4.310 |    0.2080 |    0.5945 |
#> |.....................|  0.009998 |    0.6027 |     1.768 |     1.832 |
#> |    X|     62714.521 |     4.138 |     74.46 |    0.2080 |    0.5945 |
#> |.....................|  0.009998 |    0.6027 |     1.768 |     1.832 |
#> |    F| Forward Diff. |     68.14 |     76.67 |     214.0 |    -137.5 |
#> |.....................|    0.2282 |     655.5 |    -33.65 |    -47.15 |
#> |   78|     62714.285 |   -0.4717 |    0.8101 |    -1.178 |   -0.9645 |
#> |.....................|    -1.000 |   -0.9571 |   -0.2184 |   -0.1820 |
#> |    U|     62714.285 |     1.420 |     4.310 |    0.2079 |    0.5946 |
#> |.....................|  0.009998 |    0.6019 |     1.768 |     1.832 |
#> |    X|     62714.285 |     4.137 |     74.45 |    0.2079 |    0.5946 |
#> |.....................|  0.009998 |    0.6019 |     1.768 |     1.832 |
#> |    F| Forward Diff. |     67.14 |     75.74 |     377.9 |     545.1 |
#> |.....................|    0.2288 |    -30.41 |    -33.81 |    -47.24 |
#> |   79|     62714.070 |   -0.4718 |    0.8100 |    -1.178 |   -0.9651 |
#> |.....................|    -1.000 |   -0.9571 |   -0.2183 |   -0.1819 |
#> |    U|      62714.07 |     1.420 |     4.310 |    0.2078 |    0.5939 |
#> |.....................|  0.009998 |    0.6020 |     1.768 |     1.832 |
#> |    X|      62714.07 |     4.137 |     74.44 |    0.2078 |    0.5939 |
#> |.....................|  0.009998 |    0.6020 |     1.768 |     1.832 |
#> |    F| Forward Diff. |     67.49 |     76.04 |     212.5 |    -138.5 |
#> |.....................|    0.2282 |     656.1 |    -33.62 |    -47.08 |
#> |   80|     62713.834 |   -0.4720 |    0.8098 |    -1.178 |   -0.9650 |
#> |.....................|    -1.000 |   -0.9578 |   -0.2183 |   -0.1819 |
#> |    U|     62713.834 |     1.420 |     4.310 |    0.2078 |    0.5940 |
#> |.....................|  0.009998 |    0.6012 |     1.768 |     1.832 |
#> |    X|     62713.834 |     4.136 |     74.43 |    0.2078 |    0.5940 |
#> |.....................|  0.009998 |    0.6012 |     1.768 |     1.832 |
#> |    F| Forward Diff. |     66.49 |     75.11 |     376.0 |     542.2 |
#> |.....................|    0.2288 |    -27.91 |    -33.81 |    -47.22 |
#> |   81|     62713.621 |   -0.4721 |    0.8097 |    -1.179 |   -0.9657 |
#> |.....................|    -1.000 |   -0.9578 |   -0.2183 |   -0.1819 |
#> |    U|     62713.621 |     1.420 |     4.310 |    0.2076 |    0.5933 |
#> |.....................|  0.009998 |    0.6012 |     1.768 |     1.832 |
#> |    X|     62713.621 |     4.136 |     74.42 |    0.2076 |    0.5933 |
#> |.....................|  0.009998 |    0.6012 |     1.768 |     1.832 |
#> |    F| Forward Diff. |     66.85 |     75.41 |     211.0 |    -139.1 |
#> |.....................|    0.2282 |     656.4 |    -33.57 |    -47.07 |
#> |   82|     62713.386 |   -0.4722 |    0.8096 |    -1.179 |   -0.9656 |
#> |.....................|    -1.000 |   -0.9585 |   -0.2183 |   -0.1819 |
#> |    U|     62713.386 |     1.420 |     4.310 |    0.2076 |    0.5934 |
#> |.....................|  0.009998 |    0.6005 |     1.768 |     1.832 |
#> |    X|     62713.386 |     4.135 |     74.41 |    0.2076 |    0.5934 |
#> |.....................|  0.009998 |    0.6005 |     1.768 |     1.832 |
#> |    F| Forward Diff. |     65.85 |     74.48 |     374.4 |     540.0 |
#> |.....................|    0.2288 |    -26.17 |    -33.79 |    -47.19 |
#> |   83|     62713.175 |   -0.4723 |    0.8095 |    -1.179 |   -0.9663 |
#> |.....................|    -1.000 |   -0.9585 |   -0.2182 |   -0.1818 |
#> |    U|     62713.175 |     1.419 |     4.309 |    0.2075 |    0.5928 |
#> |.....................|  0.009998 |    0.6005 |     1.768 |     1.833 |
#> |    X|     62713.175 |     4.135 |     74.40 |    0.2075 |    0.5928 |
#> |.....................|  0.009998 |    0.6005 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     66.20 |     74.78 |     209.6 |    -139.8 |
#> |.....................|    0.2281 |     656.6 |    -33.65 |    -47.08 |
#> |   84|     62712.941 |   -0.4725 |    0.8093 |    -1.179 |   -0.9662 |
#> |.....................|    -1.000 |   -0.9592 |   -0.2183 |   -0.1818 |
#> |    U|     62712.941 |     1.419 |     4.309 |    0.2074 |    0.5928 |
#> |.....................|  0.009998 |    0.5998 |     1.768 |     1.833 |
#> |    X|     62712.941 |     4.134 |     74.39 |    0.2074 |    0.5928 |
#> |.....................|  0.009998 |    0.5998 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     65.20 |     73.84 |     372.8 |     538.0 |
#> |.....................|    0.2288 |    -24.41 |    -33.81 |    -47.17 |
#> |   85|     62712.730 |   -0.4725 |    0.8092 |    -1.180 |   -0.9668 |
#> |.....................|    -1.000 |   -0.9592 |   -0.2182 |   -0.1818 |
#> |    U|      62712.73 |     1.419 |     4.309 |    0.2073 |    0.5922 |
#> |.....................|  0.009998 |    0.5998 |     1.768 |     1.833 |
#> |    X|      62712.73 |     4.134 |     74.38 |    0.2073 |    0.5922 |
#> |.....................|  0.009998 |    0.5998 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     65.55 |     74.13 |     208.2 |    -140.4 |
#> |.....................|    0.2281 |     656.8 |    -33.69 |    -47.06 |
#> |   86|     62712.497 |   -0.4727 |    0.8090 |    -1.180 |   -0.9668 |
#> |.....................|    -1.000 |   -0.9600 |   -0.2182 |   -0.1818 |
#> |    U|     62712.497 |     1.419 |     4.309 |    0.2073 |    0.5922 |
#> |.....................|  0.009998 |    0.5991 |     1.768 |     1.833 |
#> |    X|     62712.497 |     4.133 |     74.37 |    0.2073 |    0.5922 |
#> |.....................|  0.009998 |    0.5991 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     64.56 |     73.20 |     371.2 |     536.0 |
#> |.....................|    0.2288 |    -22.86 |    -33.84 |    -47.19 |
#> |   87|     62712.287 |   -0.4728 |    0.8089 |    -1.180 |   -0.9674 |
#> |.....................|    -1.000 |   -0.9599 |   -0.2182 |   -0.1817 |
#> |    U|     62712.287 |     1.419 |     4.309 |    0.2071 |    0.5916 |
#> |.....................|  0.009998 |    0.5991 |     1.768 |     1.833 |
#> |    X|     62712.287 |     4.133 |     74.36 |    0.2071 |    0.5916 |
#> |.....................|  0.009998 |    0.5991 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     64.91 |     73.50 |     206.7 |    -141.1 |
#> |.....................|    0.2281 |     657.2 |    -33.71 |    -47.01 |
#> |   88|     62712.055 |   -0.4729 |    0.8088 |    -1.180 |   -0.9674 |
#> |.....................|    -1.000 |   -0.9607 |   -0.2182 |   -0.1817 |
#> |    U|     62712.055 |     1.419 |     4.309 |    0.2071 |    0.5916 |
#> |.....................|  0.009998 |    0.5983 |     1.768 |     1.833 |
#> |    X|     62712.055 |     4.132 |     74.35 |    0.2071 |    0.5916 |
#> |.....................|  0.009998 |    0.5983 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     63.93 |     72.57 |     369.5 |     533.8 |
#> |.....................|    0.2287 |    -20.96 |    -33.85 |    -47.20 |
#> |   89|     62711.847 |   -0.4730 |    0.8087 |    -1.181 |   -0.9680 |
#> |.....................|    -1.000 |   -0.9607 |   -0.2182 |   -0.1817 |
#> |    U|     62711.847 |     1.419 |     4.309 |    0.2070 |    0.5910 |
#> |.....................|  0.009998 |    0.5984 |     1.768 |     1.833 |
#> |    X|     62711.847 |     4.132 |     74.34 |    0.2070 |    0.5910 |
#> |.....................|  0.009998 |    0.5984 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     64.28 |     72.86 |     205.3 |    -141.7 |
#> |.....................|    0.2281 |     657.3 |    -33.72 |    -47.06 |
#> |   90|     62711.615 |   -0.4731 |    0.8085 |    -1.181 |   -0.9680 |
#> |.....................|    -1.000 |   -0.9614 |   -0.2182 |   -0.1817 |
#> |    U|     62711.615 |     1.419 |     4.308 |    0.2069 |    0.5910 |
#> |.....................|  0.009998 |    0.5976 |     1.768 |     1.833 |
#> |    X|     62711.615 |     4.131 |     74.33 |    0.2069 |    0.5910 |
#> |.....................|  0.009998 |    0.5976 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     63.30 |     71.93 |     368.0 |     532.1 |
#> |.....................|    0.2288 |    -19.53 |    -33.95 |    -47.21 |
#> |   91|     62711.408 |   -0.4732 |    0.8084 |    -1.181 |   -0.9686 |
#> |.....................|    -1.000 |   -0.9614 |   -0.2181 |   -0.1817 |
#> |    U|     62711.408 |     1.419 |     4.308 |    0.2068 |    0.5904 |
#> |.....................|  0.009998 |    0.5976 |     1.768 |     1.833 |
#> |    X|     62711.408 |     4.131 |     74.32 |    0.2068 |    0.5904 |
#> |.....................|  0.009998 |    0.5976 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     63.65 |     72.23 |     203.9 |    -142.3 |
#> |.....................|    0.2281 |     657.7 |    -33.81 |    -47.04 |
#> |   92|     62711.178 |   -0.4734 |    0.8082 |    -1.182 |   -0.9686 |
#> |.....................|    -1.000 |   -0.9621 |   -0.2182 |   -0.1817 |
#> |    U|     62711.178 |     1.418 |     4.308 |    0.2068 |    0.5904 |
#> |.....................|  0.009998 |    0.5969 |     1.768 |     1.833 |
#> |    X|     62711.178 |     4.130 |     74.31 |    0.2068 |    0.5904 |
#> |.....................|  0.009998 |    0.5969 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     62.68 |     71.30 |     366.4 |     530.0 |
#> |.....................|    0.2287 |    -18.05 |    -34.05 |    -47.20 |
#> |   93|     62710.972 |   -0.4734 |    0.8081 |    -1.182 |   -0.9692 |
#> |.....................|    -1.000 |   -0.9621 |   -0.2181 |   -0.1816 |
#> |    U|     62710.972 |     1.418 |     4.308 |    0.2066 |    0.5898 |
#> |.....................|  0.009998 |    0.5969 |     1.768 |     1.833 |
#> |    X|     62710.972 |     4.130 |     74.30 |    0.2066 |    0.5898 |
#> |.....................|  0.009998 |    0.5969 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     63.03 |     71.59 |     202.5 |    -143.1 |
#> |.....................|    0.2281 |     657.9 |    -33.84 |    -47.05 |
#> |   94|     62710.742 |   -0.4736 |    0.8080 |    -1.182 |   -0.9692 |
#> |.....................|    -1.000 |   -0.9629 |   -0.2182 |   -0.1817 |
#> |    U|     62710.742 |     1.418 |     4.308 |    0.2066 |    0.5898 |
#> |.....................|  0.009998 |    0.5961 |     1.768 |     1.833 |
#> |    X|     62710.742 |     4.130 |     74.29 |    0.2066 |    0.5898 |
#> |.....................|  0.009998 |    0.5961 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     62.07 |     70.67 |     364.8 |     527.7 |
#> |.....................|    0.2287 |    -16.06 |    -34.09 |    -47.25 |
#> |   95|     62710.538 |   -0.4737 |    0.8079 |    -1.183 |   -0.9699 |
#> |.....................|    -1.000 |   -0.9629 |   -0.2181 |   -0.1816 |
#> |    U|     62710.538 |     1.418 |     4.308 |    0.2065 |    0.5892 |
#> |.....................|  0.009998 |    0.5962 |     1.768 |     1.833 |
#> |    X|     62710.538 |     4.129 |     74.28 |    0.2065 |    0.5892 |
#> |.....................|  0.009998 |    0.5962 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     62.41 |     70.97 |     201.2 |    -143.5 |
#> |.....................|    0.2281 |     658.2 |    -33.95 |    -47.13 |
#> |   96|     62710.309 |   -0.4738 |    0.8077 |    -1.183 |   -0.9698 |
#> |.....................|    -1.000 |   -0.9636 |   -0.2182 |   -0.1817 |
#> |    U|     62710.309 |     1.418 |     4.308 |    0.2065 |    0.5892 |
#> |.....................|  0.009998 |    0.5954 |     1.768 |     1.833 |
#> |    X|     62710.309 |     4.129 |     74.27 |    0.2065 |    0.5892 |
#> |.....................|  0.009998 |    0.5954 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     61.46 |     70.04 |     363.3 |     525.9 |
#> |.....................|    0.2287 |    -14.73 |    -34.20 |    -47.31 |
#> |   97|     62710.106 |   -0.4739 |    0.8076 |    -1.183 |   -0.9705 |
#> |.....................|    -1.000 |   -0.9636 |   -0.2181 |   -0.1816 |
#> |    U|     62710.106 |     1.418 |     4.308 |    0.2063 |    0.5886 |
#> |.....................|  0.009998 |    0.5954 |     1.768 |     1.833 |
#> |    X|     62710.106 |     4.128 |     74.26 |    0.2063 |    0.5886 |
#> |.....................|  0.009998 |    0.5954 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     61.81 |     70.34 |     199.8 |    -144.3 |
#> |.....................|    0.2281 |     658.3 |    -34.00 |    -47.15 |
#> |   98|     62709.877 |   -0.4740 |    0.8075 |    -1.183 |   -0.9704 |
#> |.....................|    -1.000 |   -0.9643 |   -0.2182 |   -0.1817 |
#> |    U|     62709.877 |     1.418 |     4.307 |    0.2063 |    0.5886 |
#> |.....................|  0.009998 |    0.5947 |     1.768 |     1.833 |
#> |    X|     62709.877 |     4.128 |     74.25 |    0.2063 |    0.5886 |
#> |.....................|  0.009998 |    0.5947 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     60.86 |     69.42 |     361.7 |     523.9 |
#> |.....................|    0.2287 |    -13.07 |    -34.26 |    -47.37 |
#> |   99|     62709.675 |   -0.4741 |    0.8074 |    -1.184 |   -0.9711 |
#> |.....................|    -1.000 |   -0.9643 |   -0.2182 |   -0.1816 |
#> |    U|     62709.675 |     1.418 |     4.307 |    0.2062 |    0.5879 |
#> |.....................|  0.009998 |    0.5947 |     1.768 |     1.833 |
#> |    X|     62709.675 |     4.127 |     74.25 |    0.2062 |    0.5879 |
#> |.....................|  0.009998 |    0.5947 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     61.21 |     69.71 |     198.5 |    -144.8 |
#> |.....................|    0.2280 |     658.5 |    -34.15 |    -47.20 |
#> |  100|     62709.448 |   -0.4742 |    0.8072 |    -1.184 |   -0.9711 |
#> |.....................|    -1.000 |   -0.9651 |   -0.2182 |   -0.1817 |
#> |    U|     62709.448 |     1.418 |     4.307 |    0.2062 |    0.5880 |
#> |.....................|  0.009998 |    0.5939 |     1.768 |     1.833 |
#> |    X|     62709.448 |     4.127 |     74.23 |    0.2062 |    0.5880 |
#> |.....................|  0.009998 |    0.5939 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     60.27 |     68.81 |     360.2 |     522.1 |
#> |.....................|    0.2287 |    -11.87 |    -34.36 |    -47.39 |
#> |  101|     62709.247 |   -0.4743 |    0.8071 |    -1.184 |   -0.9717 |
#> |.....................|    -1.000 |   -0.9651 |   -0.2182 |   -0.1816 |
#> |    U|     62709.247 |     1.417 |     4.307 |    0.2060 |    0.5873 |
#> |.....................|  0.009998 |    0.5939 |     1.768 |     1.833 |
#> |    X|     62709.247 |     4.127 |     74.23 |    0.2060 |    0.5873 |
#> |.....................|  0.009998 |    0.5939 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     60.62 |     69.10 |     197.1 |    -145.6 |
#> |.....................|    0.2280 |     658.8 |    -34.23 |    -47.25 |
#> |  102|     62709.020 |   -0.4744 |    0.8070 |    -1.184 |   -0.9717 |
#> |.....................|    -1.000 |   -0.9658 |   -0.2182 |   -0.1817 |
#> |    U|      62709.02 |     1.417 |     4.307 |    0.2060 |    0.5873 |
#> |.....................|  0.009998 |    0.5932 |     1.768 |     1.833 |
#> |    X|      62709.02 |     4.126 |     74.21 |    0.2060 |    0.5873 |
#> |.....................|  0.009998 |    0.5932 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     59.69 |     68.20 |     358.6 |     519.8 |
#> |.....................|    0.2287 |    -9.876 |    -34.52 |    -47.46 |
#> |  103|     62708.820 |   -0.4745 |    0.8069 |    -1.185 |   -0.9723 |
#> |.....................|    -1.000 |   -0.9658 |   -0.2182 |   -0.1816 |
#> |    U|      62708.82 |     1.417 |     4.307 |    0.2059 |    0.5867 |
#> |.....................|  0.009998 |    0.5932 |     1.768 |     1.833 |
#> |    X|      62708.82 |     4.126 |     74.21 |    0.2059 |    0.5867 |
#> |.....................|  0.009998 |    0.5932 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     60.03 |     68.49 |     195.9 |    -146.0 |
#> |.....................|    0.2280 |     658.7 |    -34.32 |    -47.29 |
#> |  104|     62708.594 |   -0.4746 |    0.8067 |    -1.185 |   -0.9723 |
#> |.....................|    -1.000 |   -0.9666 |   -0.2183 |   -0.1817 |
#> |    U|     62708.594 |     1.417 |     4.307 |    0.2058 |    0.5867 |
#> |.....................|  0.009998 |    0.5924 |     1.768 |     1.833 |
#> |    X|     62708.594 |     4.125 |     74.20 |    0.2058 |    0.5867 |
#> |.....................|  0.009998 |    0.5924 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     59.12 |     67.60 |     357.2 |     518.3 |
#> |.....................|    0.2287 |    -8.700 |    -34.67 |    -47.53 |
#> |  105|     62708.396 |   -0.4747 |    0.8066 |    -1.185 |   -0.9729 |
#> |.....................|    -1.000 |   -0.9666 |   -0.2182 |   -0.1816 |
#> |    U|     62708.396 |     1.417 |     4.307 |    0.2057 |    0.5861 |
#> |.....................|  0.009998 |    0.5925 |     1.768 |     1.833 |
#> |    X|     62708.396 |     4.125 |     74.19 |    0.2057 |    0.5861 |
#> |.....................|  0.009998 |    0.5925 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     59.46 |     67.89 |     194.5 |    -146.5 |
#> |.....................|    0.2280 |     658.7 |    -34.46 |    -47.39 |
#> |  106|     62708.171 |   -0.4749 |    0.8065 |    -1.185 |   -0.9729 |
#> |.....................|    -1.000 |   -0.9673 |   -0.2183 |   -0.1817 |
#> |    U|     62708.171 |     1.417 |     4.306 |    0.2057 |    0.5861 |
#> |.....................|  0.009998 |    0.5917 |     1.768 |     1.833 |
#> |    X|     62708.171 |     4.124 |     74.18 |    0.2057 |    0.5861 |
#> |.....................|  0.009998 |    0.5917 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     58.55 |     66.99 |     355.8 |     516.7 |
#> |.....................|    0.2286 |    -7.747 |    -34.74 |    -47.61 |
#> |  107|     62707.973 |   -0.4749 |    0.8064 |    -1.186 |   -0.9736 |
#> |.....................|    -1.000 |   -0.9673 |   -0.2183 |   -0.1816 |
#> |    U|     62707.973 |     1.417 |     4.306 |    0.2056 |    0.5854 |
#> |.....................|  0.009998 |    0.5917 |     1.768 |     1.833 |
#> |    X|     62707.973 |     4.124 |     74.17 |    0.2056 |    0.5854 |
#> |.....................|  0.009998 |    0.5917 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     58.89 |     67.28 |     193.2 |    -147.4 |
#> |.....................|    0.2280 |     659.0 |    -34.59 |    -47.46 |
#> |  108|     62707.749 |   -0.4750 |    0.8062 |    -1.186 |   -0.9736 |
#> |.....................|    -1.000 |   -0.9681 |   -0.2184 |   -0.1817 |
#> |    U|     62707.749 |     1.417 |     4.306 |    0.2055 |    0.5855 |
#> |.....................|  0.009998 |    0.5909 |     1.768 |     1.833 |
#> |    X|     62707.749 |     4.124 |     74.16 |    0.2055 |    0.5855 |
#> |.....................|  0.009998 |    0.5909 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     58.00 |     66.39 |     354.2 |     514.5 |
#> |.....................|    0.2286 |    -5.668 |    -34.88 |    -47.69 |
#> |  109|     62707.552 |   -0.4751 |    0.8062 |    -1.186 |   -0.9742 |
#> |.....................|    -1.000 |   -0.9681 |   -0.2183 |   -0.1816 |
#> |    U|     62707.552 |     1.417 |     4.306 |    0.2054 |    0.5848 |
#> |.....................|  0.009998 |    0.5910 |     1.768 |     1.833 |
#> |    X|     62707.552 |     4.123 |     74.15 |    0.2054 |    0.5848 |
#> |.....................|  0.009998 |    0.5910 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     58.34 |     66.68 |     192.0 |    -147.5 |
#> |.....................|    0.2280 |     658.8 |    -34.77 |    -47.55 |
#> |  110|     62707.329 |   -0.4752 |    0.8060 |    -1.186 |   -0.9742 |
#> |.....................|    -1.001 |   -0.9688 |   -0.2184 |   -0.1817 |
#> |    U|     62707.329 |     1.417 |     4.306 |    0.2054 |    0.5848 |
#> |.....................|  0.009997 |    0.5902 |     1.768 |     1.833 |
#> |    X|     62707.329 |     4.123 |     74.14 |    0.2054 |    0.5848 |
#> |.....................|  0.009997 |    0.5902 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     57.44 |     65.81 |     352.9 |     513.5 |
#> |.....................|    0.2286 |    -5.170 |    -35.07 |    -47.79 |
#> |  111|     62707.133 |   -0.4753 |    0.8059 |    -1.187 |   -0.9748 |
#> |.....................|    -1.001 |   -0.9688 |   -0.2184 |   -0.1817 |
#> |    U|     62707.133 |     1.416 |     4.306 |    0.2053 |    0.5842 |
#> |.....................|  0.009997 |    0.5902 |     1.768 |     1.833 |
#> |    X|     62707.133 |     4.122 |     74.14 |    0.2053 |    0.5842 |
#> |.....................|  0.009997 |    0.5902 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     57.79 |     66.10 |     190.6 |    -148.3 |
#> |.....................|    0.2280 |     659.1 |    -34.95 |    -47.62 |
#> |  112|     62706.910 |   -0.4754 |    0.8058 |    -1.187 |   -0.9748 |
#> |.....................|    -1.001 |   -0.9696 |   -0.2184 |   -0.1817 |
#> |    U|      62706.91 |     1.416 |     4.306 |    0.2052 |    0.5842 |
#> |.....................|  0.009997 |    0.5894 |     1.767 |     1.833 |
#> |    X|      62706.91 |     4.122 |     74.13 |    0.2052 |    0.5842 |
#> |.....................|  0.009997 |    0.5894 |     1.767 |     1.833 |
#> |    F| Forward Diff. |     56.91 |     65.23 |     351.4 |     511.4 |
#> |.....................|    0.2286 |    -3.598 |    -35.20 |    -47.86 |
#> |  113|     62706.716 |   -0.4755 |    0.8057 |    -1.187 |   -0.9755 |
#> |.....................|    -1.001 |   -0.9696 |   -0.2184 |   -0.1817 |
#> |    U|     62706.716 |     1.416 |     4.306 |    0.2051 |    0.5835 |
#> |.....................|  0.009997 |    0.5895 |     1.768 |     1.833 |
#> |    X|     62706.716 |     4.122 |     74.12 |    0.2051 |    0.5835 |
#> |.....................|  0.009997 |    0.5895 |     1.768 |     1.833 |
#> |    F| Forward Diff. |     57.25 |     65.52 |     189.3 |    -148.8 |
#> |.....................|    0.2279 |     659.2 |    -35.10 |    -47.69 |
#> |  114|     62706.494 |   -0.4756 |    0.8055 |    -1.187 |   -0.9755 |
#> |.....................|    -1.001 |   -0.9703 |   -0.2185 |   -0.1818 |
#> |    U|     62706.494 |     1.416 |     4.306 |    0.2051 |    0.5836 |
#> |.....................|  0.009997 |    0.5887 |     1.767 |     1.833 |
#> |    X|     62706.494 |     4.121 |     74.11 |    0.2051 |    0.5836 |
#> |.....................|  0.009997 |    0.5887 |     1.767 |     1.833 |
#> |    F| Forward Diff. |     56.37 |     64.65 |     349.9 |     509.5 |
#> |.....................|    0.2286 |    -2.168 |    -35.40 |    -47.96 |
#> |  115|     62706.301 |   -0.4757 |    0.8055 |    -1.188 |   -0.9761 |
#> |.....................|    -1.001 |   -0.9703 |   -0.2185 |   -0.1817 |
#> |    U|     62706.301 |     1.416 |     4.305 |    0.2050 |    0.5829 |
#> |.....................|  0.009997 |    0.5887 |     1.767 |     1.833 |
#> |    X|     62706.301 |     4.121 |     74.10 |    0.2050 |    0.5829 |
#> |.....................|  0.009997 |    0.5887 |     1.767 |     1.833 |
#> |    F| Forward Diff. |     56.71 |     64.93 |     188.1 |    -149.3 |
#> |.....................|    0.2279 |     659.2 |    -35.25 |    -47.81 |
#> |  116|     62706.079 |   -0.4758 |    0.8053 |    -1.188 |   -0.9761 |
#> |.....................|    -1.001 |   -0.9711 |   -0.2186 |   -0.1818 |
#> |    U|     62706.079 |     1.416 |     4.305 |    0.2049 |    0.5829 |
#> |.....................|  0.009997 |    0.5879 |     1.767 |     1.833 |
#> |    X|     62706.079 |     4.120 |     74.09 |    0.2049 |    0.5829 |
#> |.....................|  0.009997 |    0.5879 |     1.767 |     1.833 |
#> |    F| Forward Diff. |     55.84 |     64.09 |     348.5 |     507.9 |
#> |.....................|    0.2286 |    -1.142 |    -35.56 |    -48.04 |
#> |  117|     62705.887 |   -0.4759 |    0.8052 |    -1.188 |   -0.9768 |
#> |.....................|    -1.001 |   -0.9711 |   -0.2185 |   -0.1817 |
#> |    U|     62705.887 |     1.416 |     4.305 |    0.2048 |    0.5823 |
#> |.....................|  0.009997 |    0.5879 |     1.767 |     1.833 |
#> |    X|     62705.887 |     4.120 |     74.09 |    0.2048 |    0.5823 |
#> |.....................|  0.009997 |    0.5879 |     1.767 |     1.833 |
#> |    F| Forward Diff. |     56.18 |     64.37 |     186.8 |    -150.1 |
#> |.....................|    0.2279 |     659.9 |    -35.37 |    -47.89 |
#> |  118|     62705.666 |   -0.4760 |    0.8051 |    -1.188 |   -0.9767 |
#> |.....................|    -1.001 |   -0.9718 |   -0.2186 |   -0.1818 |
#> |    U|     62705.666 |     1.416 |     4.305 |    0.2048 |    0.5823 |
#> |.....................|  0.009997 |    0.5872 |     1.767 |     1.833 |
#> |    X|     62705.666 |     4.120 |     74.08 |    0.2048 |    0.5823 |
#> |.....................|  0.009997 |    0.5872 |     1.767 |     1.833 |
#> |    F| Forward Diff. |     55.32 |     63.52 |     346.9 |     505.3 |
#> |.....................|    0.2285 |     1.009 |    -35.74 |    -48.15 |
#> |  119|     62705.475 |   -0.4761 |    0.8050 |    -1.189 |   -0.9774 |
#> |.....................|    -1.001 |   -0.9718 |   -0.2186 |   -0.1818 |
#> |    U|     62705.475 |     1.416 |     4.305 |    0.2047 |    0.5816 |
#> |.....................|  0.009997 |    0.5872 |     1.767 |     1.833 |
#> |    X|     62705.475 |     4.119 |     74.07 |    0.2047 |    0.5816 |
#> |.....................|  0.009997 |    0.5872 |     1.767 |     1.833 |
#> |    F| Forward Diff. |     55.66 |     63.80 |     185.6 |    -150.2 |
#> |.....................|    0.2279 |     659.5 |    -35.56 |    -48.00 |
#> |  120|     62705.255 |   -0.4762 |    0.8049 |    -1.189 |   -0.9774 |
#> |.....................|    -1.001 |   -0.9726 |   -0.2187 |   -0.1819 |
#> |    U|     62705.255 |     1.416 |     4.305 |    0.2047 |    0.5816 |
#> |.....................|  0.009997 |    0.5864 |     1.767 |     1.832 |
#> |    X|     62705.255 |     4.119 |     74.06 |    0.2047 |    0.5816 |
#> |.....................|  0.009997 |    0.5864 |     1.767 |     1.832 |
#> |    F| Forward Diff. |     54.81 |     62.96 |     345.6 |     504.0 |
#> |.....................|    0.2285 |     1.763 |    -35.92 |    -48.28 |
#> |  121|     62705.065 |   -0.4762 |    0.8048 |    -1.189 |   -0.9780 |
#> |.....................|    -1.001 |   -0.9726 |   -0.2187 |   -0.1818 |
#> |    U|     62705.065 |     1.416 |     4.305 |    0.2045 |    0.5810 |
#> |.....................|  0.009997 |    0.5864 |     1.767 |     1.833 |
#> |    X|     62705.065 |     4.119 |     74.05 |    0.2045 |    0.5810 |
#> |.....................|  0.009997 |    0.5864 |     1.767 |     1.833 |
#> |    F| Forward Diff. |     55.14 |     63.25 |     184.2 |    -151.0 |
#> |.....................|    0.2278 |     659.7 |    -35.81 |    -48.13 |
#> |  122|     62704.846 |   -0.4763 |    0.8046 |    -1.189 |   -0.9780 |
#> |.....................|    -1.001 |   -0.9734 |   -0.2188 |   -0.1819 |
#> |    U|     62704.846 |     1.415 |     4.305 |    0.2045 |    0.5810 |
#> |.....................|  0.009997 |    0.5857 |     1.767 |     1.832 |
#> |    X|     62704.846 |     4.118 |     74.04 |    0.2045 |    0.5810 |
#> |.....................|  0.009997 |    0.5857 |     1.767 |     1.832 |
#> |    F| Forward Diff. |     54.30 |     62.40 |     344.1 |     502.1 |
#> |.....................|    0.2285 |     3.385 |    -36.11 |    -48.38 |
#> |  123|     62704.656 |   -0.4764 |    0.8046 |    -1.190 |   -0.9787 |
#> |.....................|    -1.001 |   -0.9734 |   -0.2187 |   -0.1819 |
#> |    U|     62704.656 |     1.415 |     4.305 |    0.2044 |    0.5803 |
#> |.....................|  0.009997 |    0.5857 |     1.767 |     1.832 |
#> |    X|     62704.656 |     4.118 |     74.04 |    0.2044 |    0.5803 |
#> |.....................|  0.009997 |    0.5857 |     1.767 |     1.832 |
#> |    F| Forward Diff. |     54.63 |     62.69 |     183.1 |    -151.3 |
#> |.....................|    0.2278 |     659.5 |    -35.94 |    -48.23 |
#> |  124|     62704.438 |   -0.4765 |    0.8044 |    -1.190 |   -0.9787 |
#> |.....................|    -1.001 |   -0.9741 |   -0.2188 |   -0.1820 |
#> |    U|     62704.438 |     1.415 |     4.304 |    0.2044 |    0.5803 |
#> |.....................|  0.009997 |    0.5849 |     1.767 |     1.832 |
#> |    X|     62704.438 |     4.117 |     74.03 |    0.2044 |    0.5803 |
#> |.....................|  0.009997 |    0.5849 |     1.767 |     1.832 |
#> |    F| Forward Diff. |     53.80 |     61.86 |     342.8 |     500.9 |
#> |.....................|    0.2285 |     4.238 |    -36.33 |    -48.50 |
#> |  125|     62704.249 |   -0.4766 |    0.8043 |    -1.190 |   -0.9793 |
#> |.....................|    -1.001 |   -0.9741 |   -0.2188 |   -0.1819 |
#> |    U|     62704.249 |     1.415 |     4.304 |    0.2042 |    0.5797 |
#> |.....................|  0.009997 |    0.5849 |     1.767 |     1.832 |
#> |    X|     62704.249 |     4.117 |     74.02 |    0.2042 |    0.5797 |
#> |.....................|  0.009997 |    0.5849 |     1.767 |     1.832 |
#> |    F| Forward Diff. |     54.13 |     62.15 |     181.8 |    -151.8 |
#> |.....................|    0.2278 |     659.5 |    -36.14 |    -48.33 |
#> |  126|     62704.032 |   -0.4767 |    0.8042 |    -1.190 |   -0.9793 |
#> |.....................|    -1.001 |   -0.9749 |   -0.2189 |   -0.1820 |
#> |    U|     62704.032 |     1.415 |     4.304 |    0.2042 |    0.5797 |
#> |.....................|  0.009997 |    0.5841 |     1.767 |     1.832 |
#> |    X|     62704.032 |     4.117 |     74.01 |    0.2042 |    0.5797 |
#> |.....................|  0.009997 |    0.5841 |     1.767 |     1.832 |
#> |    F| Forward Diff. |     53.30 |     61.32 |     341.4 |     499.4 |
#> |.....................|    0.2284 |     5.072 |    -36.52 |    -48.61 |
#> |  127|     62703.845 |   -0.4768 |    0.8041 |    -1.191 |   -0.9800 |
#> |.....................|    -1.001 |   -0.9749 |   -0.2189 |   -0.1820 |
#> |    U|     62703.845 |     1.415 |     4.304 |    0.2041 |    0.5790 |
#> |.....................|  0.009997 |    0.5841 |     1.767 |     1.832 |
#> |    X|     62703.845 |     4.116 |     74.01 |    0.2041 |    0.5790 |
#> |.....................|  0.009997 |    0.5841 |     1.767 |     1.832 |
#> |    F| Forward Diff. |     53.63 |     61.60 |     180.5 |    -152.5 |
#> |.....................|    0.2278 |     659.7 |    -36.42 |    -48.45 |
#> |  128|     62703.627 |   -0.4769 |    0.8040 |    -1.191 |   -0.9800 |
#> |.....................|    -1.001 |   -0.9756 |   -0.2190 |   -0.1821 |
#> |    U|     62703.627 |     1.415 |     4.304 |    0.2041 |    0.5790 |
#> |.....................|  0.009997 |    0.5834 |     1.766 |     1.832 |
#> |    X|     62703.627 |     4.116 |     74.00 |    0.2041 |    0.5790 |
#> |.....................|  0.009997 |    0.5834 |     1.766 |     1.832 |
#> |    F| Forward Diff. |     52.80 |     60.78 |     339.9 |     497.3 |
#> |.....................|    0.2284 |     6.677 |    -36.71 |    -48.73 |
#> |  129|     62703.441 |   -0.4769 |    0.8039 |    -1.191 |   -0.9806 |
#> |.....................|    -1.001 |   -0.9757 |   -0.2190 |   -0.1820 |
#> |    U|     62703.441 |     1.415 |     4.304 |    0.2039 |    0.5784 |
#> |.....................|  0.009997 |    0.5834 |     1.767 |     1.832 |
#> |    X|     62703.441 |     4.116 |     73.99 |    0.2039 |    0.5784 |
#> |.....................|  0.009997 |    0.5834 |     1.767 |     1.832 |
#> |    F| Forward Diff. |     53.14 |     61.07 |     179.3 |    -152.8 |
#> |.....................|    0.2278 |     659.6 |    -36.56 |    -48.60 |
#> |  130|     62703.224 |   -0.4770 |    0.8038 |    -1.191 |   -0.9806 |
#> |.....................|    -1.001 |   -0.9764 |   -0.2191 |   -0.1821 |
#> |    U|     62703.224 |     1.415 |     4.304 |    0.2039 |    0.5784 |
#> |.....................|  0.009997 |    0.5826 |     1.766 |     1.832 |
#> |    X|     62703.224 |     4.115 |     73.98 |    0.2039 |    0.5784 |
#> |.....................|  0.009997 |    0.5826 |     1.766 |     1.832 |
#> |    F| Forward Diff. |     52.32 |     60.26 |     338.6 |     495.8 |
#> |.....................|    0.2284 |     7.799 |    -36.91 |    -48.85 |
#> |  131|     62703.039 |   -0.4771 |    0.8037 |    -1.191 |   -0.9813 |
#> |.....................|    -1.001 |   -0.9764 |   -0.2190 |   -0.1821 |
#> |    U|     62703.039 |     1.415 |     4.304 |    0.2038 |    0.5777 |
#> |.....................|  0.009997 |    0.5826 |     1.766 |     1.832 |
#> |    X|     62703.039 |     4.115 |     73.97 |    0.2038 |    0.5777 |
#> |.....................|  0.009997 |    0.5826 |     1.766 |     1.832 |
#> |    F| Forward Diff. |     52.65 |     60.54 |     178.1 |    -153.2 |
#> |.....................|    0.2277 |     659.6 |    -36.80 |    -48.69 |
#> |  132|     62702.823 |   -0.4772 |    0.8036 |    -1.192 |   -0.9813 |
#> |.....................|    -1.001 |   -0.9772 |   -0.2192 |   -0.1822 |
#> |    U|     62702.823 |     1.415 |     4.304 |    0.2038 |    0.5777 |
#> |.....................|  0.009997 |    0.5818 |     1.766 |     1.832 |
#> |    X|     62702.823 |     4.115 |     73.96 |    0.2038 |    0.5777 |
#> |.....................|  0.009997 |    0.5818 |     1.766 |     1.832 |
#> |    F| Forward Diff. |     51.84 |     59.73 |     337.2 |     494.4 |
#> |.....................|    0.2284 |     8.798 |    -37.13 |    -48.97 |
#> |  133|     62702.639 |   -0.4773 |    0.8035 |    -1.192 |   -0.9819 |
#> |.....................|    -1.001 |   -0.9772 |   -0.2191 |   -0.1821 |
#> |    U|     62702.639 |     1.414 |     4.304 |    0.2037 |    0.5771 |
#> |.....................|  0.009997 |    0.5818 |     1.766 |     1.832 |
#> |    X|     62702.639 |     4.114 |     73.96 |    0.2037 |    0.5771 |
#> |.....................|  0.009997 |    0.5818 |     1.766 |     1.832 |
#> |    F| Forward Diff. |     52.17 |     60.01 |     176.9 |    -153.7 |
#> |.....................|    0.2277 |     659.6 |    -36.98 |    -48.83 |
#> |  134|     62702.424 |   -0.4774 |    0.8034 |    -1.192 |   -0.9819 |
#> |.....................|    -1.001 |   -0.9779 |   -0.2193 |   -0.1822 |
#> |    U|     62702.424 |     1.414 |     4.303 |    0.2036 |    0.5771 |
#> |.....................|  0.009997 |    0.5811 |     1.766 |     1.832 |
#> |    X|     62702.424 |     4.114 |     73.95 |    0.2036 |    0.5771 |
#> |.....................|  0.009997 |    0.5811 |     1.766 |     1.832 |
#> |    F| Forward Diff. |     51.36 |     59.21 |     335.9 |     492.8 |
#> |.....................|    0.2284 |     9.903 |    -37.32 |    -49.11 |
#> |  135|     62702.240 |   -0.4774 |    0.8033 |    -1.192 |   -0.9826 |
#> |.....................|    -1.001 |   -0.9780 |   -0.2192 |   -0.1822 |
#> |    U|      62702.24 |     1.414 |     4.303 |    0.2035 |    0.5764 |
#> |.....................|  0.009997 |    0.5811 |     1.766 |     1.832 |
#> |    X|      62702.24 |     4.114 |     73.94 |    0.2035 |    0.5764 |
#> |.....................|  0.009997 |    0.5811 |     1.766 |     1.832 |
#> |    F| Forward Diff. |     51.69 |     59.48 |     175.7 |    -154.1 |
#> |.....................|    0.2277 |     659.6 |    -37.17 |    -48.97 |
#> |  136|     62702.026 |   -0.4775 |    0.8032 |    -1.192 |   -0.9826 |
#> |.....................|    -1.001 |   -0.9787 |   -0.2194 |   -0.1823 |
#> |    U|     62702.026 |     1.414 |     4.303 |    0.2035 |    0.5764 |
#> |.....................|  0.009997 |    0.5803 |     1.766 |     1.832 |
#> |    X|     62702.026 |     4.113 |     73.93 |    0.2035 |    0.5764 |
#> |.....................|  0.009997 |    0.5803 |     1.766 |     1.832 |
#> |    F| Forward Diff. |     50.89 |     58.69 |     334.5 |     491.3 |
#> |.....................|    0.2283 |     10.90 |    -37.52 |    -49.27 |
#> |  137|     62701.843 |   -0.4776 |    0.8031 |    -1.193 |   -0.9832 |
#> |.....................|    -1.001 |   -0.9787 |   -0.2193 |   -0.1822 |
#> |    U|     62701.843 |     1.414 |     4.303 |    0.2034 |    0.5758 |
#> |.....................|  0.009997 |    0.5803 |     1.766 |     1.832 |
#> |    X|     62701.843 |     4.113 |     73.93 |    0.2034 |    0.5758 |
#> |.....................|  0.009997 |    0.5803 |     1.766 |     1.832 |
#> |    F| Forward Diff. |     51.22 |     58.97 |     174.4 |    -154.7 |
#> |.....................|    0.2276 |     659.6 |    -37.41 |    -49.10 |
#> |  138|     62701.629 |   -0.4777 |    0.8030 |    -1.193 |   -0.9833 |
#> |.....................|    -1.001 |   -0.9795 |   -0.2194 |   -0.1824 |
#> |    U|     62701.629 |     1.414 |     4.303 |    0.2034 |    0.5758 |
#> |.....................|  0.009997 |    0.5795 |     1.766 |     1.832 |
#> |    X|     62701.629 |     4.113 |     73.92 |    0.2034 |    0.5758 |
#> |.....................|  0.009997 |    0.5795 |     1.766 |     1.832 |
#> |    F| Forward Diff. |     50.42 |     58.19 |     333.1 |     489.5 |
#> |.....................|    0.2283 |     12.39 |    -37.73 |    -49.38 |
#> |  139|     62701.448 |   -0.4777 |    0.8029 |    -1.193 |   -0.9839 |
#> |.....................|    -1.001 |   -0.9795 |   -0.2194 |   -0.1823 |
#> |    U|     62701.448 |     1.414 |     4.303 |    0.2032 |    0.5751 |
#> |.....................|  0.009997 |    0.5795 |     1.766 |     1.832 |
#> |    X|     62701.448 |     4.112 |     73.91 |    0.2032 |    0.5751 |
#> |.....................|  0.009997 |    0.5795 |     1.766 |     1.832 |
#> |    F| Forward Diff. |     50.75 |     58.46 |     173.3 |    -154.8 |
#> |.....................|    0.2276 |     659.4 |    -37.60 |    -49.25 |
#> |  140|     62701.234 |   -0.4778 |    0.8028 |    -1.193 |   -0.9839 |
#> |.....................|    -1.001 |   -0.9803 |   -0.2195 |   -0.1824 |
#> |    U|     62701.234 |     1.414 |     4.303 |    0.2032 |    0.5751 |
#> |.....................|  0.009997 |    0.5788 |     1.765 |     1.832 |
#> |    X|     62701.234 |     4.112 |     73.91 |    0.2032 |    0.5751 |
#> |.....................|  0.009997 |    0.5788 |     1.765 |     1.832 |
#> |    F| Forward Diff. |     49.95 |     57.66 |     331.9 |     488.5 |
#> |.....................|    0.2283 |     12.72 |    -37.98 |    -49.56 |
#> |  141|     62701.054 |   -0.4779 |    0.8027 |    -1.194 |   -0.9846 |
#> |.....................|    -1.001 |   -0.9803 |   -0.2195 |   -0.1824 |
#> |    U|     62701.054 |     1.414 |     4.303 |    0.2031 |    0.5745 |
#> |.....................|  0.009997 |    0.5787 |     1.766 |     1.832 |
#> |    X|     62701.054 |     4.112 |     73.90 |    0.2031 |    0.5745 |
#> |.....................|  0.009997 |    0.5787 |     1.766 |     1.832 |
#> |    F| Forward Diff. |     50.29 |     57.95 |     172.0 |    -155.7 |
#> |.....................|    0.2276 |     659.6 |    -37.80 |    -49.39 |
#> |  142|     62700.841 |   -0.4780 |    0.8026 |    -1.194 |   -0.9846 |
#> |.....................|    -1.001 |   -0.9810 |   -0.2196 |   -0.1825 |
#> |    U|     62700.841 |     1.414 |     4.303 |    0.2031 |    0.5744 |
#> |.....................|  0.009997 |    0.5780 |     1.765 |     1.831 |
#> |    X|     62700.841 |     4.111 |     73.89 |    0.2031 |    0.5744 |
#> |.....................|  0.009997 |    0.5780 |     1.765 |     1.831 |
#> |    F| Forward Diff. |     49.70 |     57.42 |     330.3 |     486.3 |
#> |.....................|    0.2282 |     14.60 |    -38.20 |    -49.67 |
#> |  143|     62700.661 |   -0.4781 |    0.8025 |    -1.194 |   -0.9852 |
#> |.....................|    -1.001 |   -0.9810 |   -0.2196 |   -0.1824 |
#> |    U|     62700.661 |     1.414 |     4.303 |    0.2030 |    0.5738 |
#> |.....................|  0.009997 |    0.5780 |     1.765 |     1.832 |
#> |    X|     62700.661 |     4.111 |     73.89 |    0.2030 |    0.5738 |
#> |.....................|  0.009997 |    0.5780 |     1.765 |     1.832 |
#> |    F| Forward Diff. |     49.83 |     57.45 |     171.0 |    -155.5 |
#> |.....................|    0.2276 |     659.2 |    -38.11 |    -49.51 |
#> |  144|     62700.449 |   -0.4782 |    0.8024 |    -1.194 |   -0.9852 |
#> |.....................|    -1.001 |   -0.9818 |   -0.2197 |   -0.1825 |
#> |    U|     62700.449 |     1.414 |     4.302 |    0.2030 |    0.5738 |
#> |.....................|  0.009997 |    0.5772 |     1.765 |     1.831 |
#> |    X|     62700.449 |     4.111 |     73.88 |    0.2030 |    0.5738 |
#> |.....................|  0.009997 |    0.5772 |     1.765 |     1.831 |
#> |    F| Forward Diff. |     49.23 |     56.91 |     329.2 |     485.6 |
#> |.....................|    0.2282 |     14.98 |    -38.45 |    -49.81 |
#> |  145|     62700.270 |   -0.4782 |    0.8023 |    -1.195 |   -0.9859 |
#> |.....................|    -1.001 |   -0.9818 |   -0.2197 |   -0.1825 |
#> |    U|      62700.27 |     1.414 |     4.302 |    0.2028 |    0.5731 |
#> |.....................|  0.009997 |    0.5772 |     1.765 |     1.831 |
#> |    X|      62700.27 |     4.110 |     73.87 |    0.2028 |    0.5731 |
#> |.....................|  0.009997 |    0.5772 |     1.765 |     1.831 |
#> |    F| Forward Diff. |     49.36 |     56.94 |     169.7 |    -156.0 |
#> |.....................|    0.2275 |     659.2 |    -38.30 |    -49.64 |
#> |  146|     62700.059 |   -0.4783 |    0.8022 |    -1.195 |   -0.9859 |
#> |.....................|    -1.001 |   -0.9826 |   -0.2198 |   -0.1826 |
#> |    U|     62700.059 |     1.413 |     4.302 |    0.2028 |    0.5731 |
#> |.....................|  0.009997 |    0.5764 |     1.765 |     1.831 |
#> |    X|     62700.059 |     4.110 |     73.86 |    0.2028 |    0.5731 |
#> |.....................|  0.009997 |    0.5764 |     1.765 |     1.831 |
#> |    F| Forward Diff. |     48.77 |     56.40 |     328.0 |     484.4 |
#> |.....................|    0.2282 |     15.57 |    -38.66 |    -49.94 |
#> |  147|     62699.881 |   -0.4784 |    0.8021 |    -1.195 |   -0.9866 |
#> |.....................|    -1.001 |   -0.9826 |   -0.2198 |   -0.1825 |
#> |    U|     62699.881 |     1.413 |     4.302 |    0.2027 |    0.5725 |
#> |.....................|  0.009997 |    0.5764 |     1.765 |     1.831 |
#> |    X|     62699.881 |     4.110 |     73.86 |    0.2027 |    0.5725 |
#> |.....................|  0.009997 |    0.5764 |     1.765 |     1.831 |
#> |    F| Forward Diff. |     48.90 |     56.43 |     168.5 |    -156.9 |
#> |.....................|    0.2274 |     659.3 |    -38.48 |    -49.79 |
#> |  148|     62699.670 |   -0.4785 |    0.8020 |    -1.195 |   -0.9866 |
#> |.....................|    -1.001 |   -0.9833 |   -0.2199 |   -0.1827 |
#> |    U|      62699.67 |     1.413 |     4.302 |    0.2027 |    0.5724 |
#> |.....................|  0.009997 |    0.5757 |     1.765 |     1.831 |
#> |    X|      62699.67 |     4.109 |     73.85 |    0.2027 |    0.5724 |
#> |.....................|  0.009997 |    0.5757 |     1.765 |     1.831 |
#> |    F| Forward Diff. |     48.31 |     55.91 |     326.6 |     482.6 |
#> |.....................|    0.2282 |     17.00 |    -38.88 |    -50.08 |
#> |  149|     62699.493 |   -0.4785 |    0.8019 |    -1.196 |   -0.9872 |
#> |.....................|    -1.001 |   -0.9834 |   -0.2199 |   -0.1826 |
#> |    U|     62699.493 |     1.413 |     4.302 |    0.2025 |    0.5718 |
#> |.....................|  0.009997 |    0.5756 |     1.765 |     1.831 |
#> |    X|     62699.493 |     4.109 |     73.84 |    0.2025 |    0.5718 |
#> |.....................|  0.009997 |    0.5756 |     1.765 |     1.831 |
#> |    F| Forward Diff. |     48.44 |     55.93 |     167.4 |    -157.2 |
#> |.....................|    0.2275 |     659.3 |    -38.74 |    -49.92 |
#> |  150|     62699.283 |   -0.4786 |    0.8018 |    -1.196 |   -0.9872 |
#> |.....................|    -1.001 |   -0.9841 |   -0.2200 |   -0.1827 |
#> |    U|     62699.283 |     1.413 |     4.302 |    0.2025 |    0.5718 |
#> |.....................|  0.009997 |    0.5749 |     1.765 |     1.831 |
#> |    X|     62699.283 |     4.109 |     73.83 |    0.2025 |    0.5718 |
#> |.....................|  0.009997 |    0.5749 |     1.765 |     1.831 |
#> |    F| Forward Diff. |     47.86 |     55.41 |     325.3 |     481.1 |
#> |.....................|    0.2281 |     17.79 |    -39.11 |    -50.23 |
#> |  151|     62699.107 |   -0.4787 |    0.8017 |    -1.196 |   -0.9879 |
#> |.....................|    -1.001 |   -0.9841 |   -0.2200 |   -0.1827 |
#> |    U|     62699.107 |     1.413 |     4.302 |    0.2024 |    0.5711 |
#> |.....................|  0.009997 |    0.5749 |     1.765 |     1.831 |
#> |    X|     62699.107 |     4.109 |     73.83 |    0.2024 |    0.5711 |
#> |.....................|  0.009997 |    0.5749 |     1.765 |     1.831 |
#> |    F| Forward Diff. |     47.98 |     55.44 |     166.2 |    -157.8 |
#> |.....................|    0.2274 |     659.3 |    -38.98 |    -50.10 |
#> |  152|     62698.897 |   -0.4788 |    0.8016 |    -1.196 |   -0.9879 |
#> |.....................|    -1.001 |   -0.9849 |   -0.2201 |   -0.1828 |
#> |    U|     62698.897 |     1.413 |     4.302 |    0.2024 |    0.5711 |
#> |.....................|  0.009997 |    0.5741 |     1.764 |     1.831 |
#> |    X|     62698.897 |     4.108 |     73.82 |    0.2024 |    0.5711 |
#> |.....................|  0.009997 |    0.5741 |     1.764 |     1.831 |
#> |    F| Forward Diff. |     47.40 |     54.91 |     323.9 |     479.2 |
#> |.....................|    0.2281 |     19.15 |    -39.37 |    -50.38 |
#> |  153|     62698.722 |   -0.4788 |    0.8015 |    -1.197 |   -0.9886 |
#> |.....................|    -1.001 |   -0.9849 |   -0.2201 |   -0.1827 |
#> |    U|     62698.722 |     1.413 |     4.302 |    0.2023 |    0.5705 |
#> |.....................|  0.009997 |    0.5741 |     1.765 |     1.831 |
#> |    X|     62698.722 |     4.108 |     73.81 |    0.2023 |    0.5705 |
#> |.....................|  0.009997 |    0.5741 |     1.765 |     1.831 |
#> |    F| Forward Diff. |     47.54 |     54.95 |     164.9 |    -159.6 |
#> |.....................|    0.2264 |     656.9 |    -39.40 |    -50.22 |
#> |  154|     62698.513 |   -0.4789 |    0.8014 |    -1.197 |   -0.9886 |
#> |.....................|    -1.001 |   -0.9857 |   -0.2202 |   -0.1829 |
#> |    U|     62698.513 |     1.413 |     4.301 |    0.2023 |    0.5704 |
#> |.....................|  0.009997 |    0.5733 |     1.764 |     1.831 |
#> |    X|     62698.513 |     4.108 |     73.81 |    0.2023 |    0.5704 |
#> |.....................|  0.009997 |    0.5733 |     1.764 |     1.831 |
#> |    F| Forward Diff. |     46.96 |     54.42 |     323.3 |     480.6 |
#> |.....................|    0.2281 |     17.22 |    -39.59 |    -50.53 |
#> |  155|     62698.336 |   -0.4790 |    0.8013 |    -1.197 |   -0.9893 |
#> |.....................|    -1.001 |   -0.9857 |   -0.2202 |   -0.1829 |
#> |    U|     62698.336 |     1.413 |     4.301 |    0.2022 |    0.5698 |
#> |.....................|  0.009997 |    0.5733 |     1.764 |     1.831 |
#> |    X|     62698.336 |     4.107 |     73.80 |    0.2022 |    0.5698 |
#> |.....................|  0.009997 |    0.5733 |     1.764 |     1.831 |
#> |    F| Forward Diff. |     47.06 |     54.42 |     166.1 |    -150.0 |
#> |.....................|    0.2273 |     650.5 |    -39.47 |    -50.45 |
#> |  156|     62698.130 |   -0.4791 |    0.8012 |    -1.197 |   -0.9893 |
#> |.....................|    -1.001 |   -0.9865 |   -0.2204 |   -0.1830 |
#> |    U|      62698.13 |     1.413 |     4.301 |    0.2022 |    0.5697 |
#> |.....................|  0.009997 |    0.5725 |     1.764 |     1.830 |
#> |    X|      62698.13 |     4.107 |     73.79 |    0.2022 |    0.5697 |
#> |.....................|  0.009997 |    0.5725 |     1.764 |     1.830 |
#> |    F| Forward Diff. |     46.48 |     53.90 |     322.9 |     482.3 |
#> |.....................|    0.2281 |     14.95 |    -39.84 |    -50.73 |
#> |  157|     62697.955 |   -0.4792 |    0.8012 |    -1.197 |   -0.9900 |
#> |.....................|    -1.001 |   -0.9865 |   -0.2204 |   -0.1830 |
#> |    U|     62697.955 |     1.413 |     4.301 |    0.2020 |    0.5691 |
#> |.....................|  0.009997 |    0.5725 |     1.764 |     1.831 |
#> |    X|     62697.955 |     4.107 |     73.78 |    0.2020 |    0.5691 |
#> |.....................|  0.009997 |    0.5725 |     1.764 |     1.831 |
#> |    F| Forward Diff. |     46.60 |     53.91 |     164.7 |    -151.8 |
#> |.....................|    0.2274 |     651.7 |    -39.82 |    -50.65 |
#> |  158|     62697.749 |   -0.4792 |    0.8010 |    -1.197 |   -0.9900 |
#> |.....................|    -1.001 |   -0.9873 |   -0.2205 |   -0.1831 |
#> |    U|     62697.749 |     1.413 |     4.301 |    0.2020 |    0.5690 |
#> |.....................|  0.009997 |    0.5717 |     1.764 |     1.830 |
#> |    X|     62697.749 |     4.106 |     73.78 |    0.2020 |    0.5690 |
#> |.....................|  0.009997 |    0.5717 |     1.764 |     1.830 |
#> |    F| Forward Diff. |     46.02 |     53.39 |     321.5 |     480.0 |
#> |.....................|    0.2280 |     16.95 |    -40.20 |    -50.94 |
#> |  159|     62697.575 |   -0.4793 |    0.8010 |    -1.198 |   -0.9907 |
#> |.....................|    -1.001 |   -0.9873 |   -0.2205 |   -0.1831 |
#> |    U|     62697.575 |     1.412 |     4.301 |    0.2019 |    0.5684 |
#> |.....................|  0.009997 |    0.5717 |     1.764 |     1.830 |
#> |    X|     62697.575 |     4.106 |     73.77 |    0.2019 |    0.5684 |
#> |.....................|  0.009997 |    0.5717 |     1.764 |     1.830 |
#> |    F| Forward Diff. |     46.15 |     53.41 |     163.2 |    -155.1 |
#> |.....................|    0.2263 |     651.1 |    -40.26 |    -51.01 |
#> |  160|     62697.369 |   -0.4794 |    0.8009 |    -1.198 |   -0.9907 |
#> |.....................|    -1.001 |   -0.9881 |   -0.2207 |   -0.1832 |
#> |    U|     62697.369 |     1.412 |     4.301 |    0.2019 |    0.5683 |
#> |.....................|  0.009996 |    0.5709 |     1.763 |     1.830 |
#> |    X|     62697.369 |     4.106 |     73.76 |    0.2019 |    0.5683 |
#> |.....................|  0.009996 |    0.5709 |     1.763 |     1.830 |
#> |    F| Forward Diff. |     45.57 |     52.90 |     320.7 |     480.4 |
#> |.....................|    0.2280 |     15.74 |    -40.42 |    -51.16 |
#> |  161|     62697.194 |   -0.4795 |    0.8008 |    -1.198 |   -0.9914 |
#> |.....................|    -1.001 |   -0.9881 |   -0.2207 |   -0.1832 |
#> |    U|     62697.194 |     1.412 |     4.301 |    0.2018 |    0.5677 |
#> |.....................|  0.009996 |    0.5709 |     1.763 |     1.830 |
#> |    X|     62697.194 |     4.105 |     73.76 |    0.2018 |    0.5677 |
#> |.....................|  0.009996 |    0.5709 |     1.763 |     1.830 |
#> |    F| Forward Diff. |     45.68 |     52.89 |     164.3 |    -146.2 |
#> |.....................|    0.2273 |     645.0 |    -40.42 |    -51.09 |
#> |  162|     62696.990 |   -0.4795 |    0.8007 |    -1.198 |   -0.9914 |
#> |.....................|    -1.001 |   -0.9889 |   -0.2208 |   -0.1833 |
#> |    U|      62696.99 |     1.412 |     4.301 |    0.2018 |    0.5676 |
#> |.....................|  0.009996 |    0.5701 |     1.763 |     1.830 |
#> |    X|      62696.99 |     4.105 |     73.75 |    0.2018 |    0.5676 |
#> |.....................|  0.009996 |    0.5701 |     1.763 |     1.830 |
#> |    F| Forward Diff. |     45.11 |     52.37 |     320.2 |     481.7 |
#> |.....................|    0.2279 |     14.14 |    -40.83 |    -51.37 |
#> |  163|     62696.817 |   -0.4796 |    0.8006 |    -1.199 |   -0.9921 |
#> |.....................|    -1.001 |   -0.9889 |   -0.2208 |   -0.1833 |
#> |    U|     62696.817 |     1.412 |     4.301 |    0.2017 |    0.5669 |
#> |.....................|  0.009996 |    0.5701 |     1.763 |     1.830 |
#> |    X|     62696.817 |     4.105 |     73.74 |    0.2017 |    0.5669 |
#> |.....................|  0.009996 |    0.5701 |     1.763 |     1.830 |
#> |    F| Forward Diff. |     45.23 |     52.40 |     162.8 |    -149.5 |
#> |.....................|    0.2263 |     644.6 |    -40.92 |    -51.49 |
#> |  164|     62696.613 |   -0.4797 |    0.8005 |    -1.199 |   -0.9921 |
#> |.....................|    -1.001 |   -0.9897 |   -0.2210 |   -0.1835 |
#> |    U|     62696.613 |     1.412 |     4.300 |    0.2017 |    0.5669 |
#> |.....................|  0.009996 |    0.5693 |     1.763 |     1.830 |
#> |    X|     62696.613 |     4.104 |     73.74 |    0.2017 |    0.5669 |
#> |.....................|  0.009996 |    0.5693 |     1.763 |     1.830 |
#> |    F| Forward Diff. |     44.66 |     51.88 |     319.5 |     482.2 |
#> |.....................|    0.2279 |     12.91 |    -41.11 |    -51.62 |
#> |  165|     62696.439 |   -0.4798 |    0.8004 |    -1.199 |   -0.9928 |
#> |.....................|    -1.001 |   -0.9898 |   -0.2210 |   -0.1835 |
#> |    U|     62696.439 |     1.412 |     4.300 |    0.2016 |    0.5662 |
#> |.....................|  0.009996 |    0.5692 |     1.763 |     1.830 |
#> |    X|     62696.439 |     4.104 |     73.73 |    0.2016 |    0.5662 |
#> |.....................|  0.009996 |    0.5692 |     1.763 |     1.830 |
#> |    F| Forward Diff. |     44.77 |     51.89 |     163.7 |    -142.3 |
#> |.....................|    0.2264 |     637.1 |    -41.26 |    -51.74 |
#> |  166|     62696.237 |   -0.4798 |    0.8003 |    -1.199 |   -0.9928 |
#> |.....................|    -1.001 |   -0.9905 |   -0.2212 |   -0.1836 |
#> |    U|     62696.237 |     1.412 |     4.300 |    0.2015 |    0.5662 |
#> |.....................|  0.009996 |    0.5685 |     1.763 |     1.829 |
#> |    X|     62696.237 |     4.104 |     73.72 |    0.2015 |    0.5662 |
#> |.....................|  0.009996 |    0.5685 |     1.763 |     1.829 |
#> |    F| Forward Diff. |     44.20 |     51.37 |     319.6 |     485.6 |
#> |.....................|    0.2279 |     8.895 |    -41.48 |    -51.88 |
#> |  167|     62696.063 |   -0.4799 |    0.8002 |    -1.199 |   -0.9935 |
#> |.....................|    -1.001 |   -0.9906 |   -0.2212 |   -0.1836 |
#> |    U|     62696.063 |     1.412 |     4.300 |    0.2014 |    0.5655 |
#> |.....................|  0.009996 |    0.5684 |     1.763 |     1.829 |
#> |    X|     62696.063 |     4.104 |     73.71 |    0.2014 |    0.5655 |
#> |.....................|  0.009996 |    0.5684 |     1.763 |     1.829 |
#> |    F| Forward Diff. |     44.32 |     51.38 |     164.3 |    -136.6 |
#> |.....................|    0.2264 |     630.7 |    -41.68 |    -52.03 |
#> |  168|     62695.863 |   -0.4800 |    0.8001 |    -1.199 |   -0.9936 |
#> |.....................|    -1.001 |   -0.9914 |   -0.2214 |   -0.1837 |
#> |    U|     62695.863 |     1.412 |     4.300 |    0.2014 |    0.5655 |
#> |.....................|  0.009996 |    0.5677 |     1.762 |     1.829 |
#> |    X|     62695.863 |     4.103 |     73.71 |    0.2014 |    0.5655 |
#> |.....................|  0.009996 |    0.5677 |     1.762 |     1.829 |
#> |    F| Forward Diff. |     43.75 |     50.86 |     319.7 |     488.9 |
#> |.....................|    0.2279 |     5.045 |    -41.93 |    -52.18 |
#> |  169|     62695.688 |   -0.4801 |    0.8000 |    -1.200 |   -0.9943 |
#> |.....................|    -1.001 |   -0.9914 |   -0.2214 |   -0.1838 |
#> |    U|     62695.688 |     1.412 |     4.300 |    0.2013 |    0.5647 |
#> |.....................|  0.009996 |    0.5676 |     1.762 |     1.829 |
#> |    X|     62695.688 |     4.103 |     73.70 |    0.2013 |    0.5647 |
#> |.....................|  0.009996 |    0.5676 |     1.762 |     1.829 |
#> |    F| Forward Diff. |     43.86 |     50.87 |     164.9 |    -131.0 |
#> |.....................|    0.2263 |     624.4 |    -42.04 |    -52.34 |
#> |  170|     62695.491 |   -0.4801 |    0.7999 |    -1.200 |   -0.9943 |
#> |.....................|    -1.001 |   -0.9922 |   -0.2215 |   -0.1839 |
#> |    U|     62695.491 |     1.412 |     4.300 |    0.2013 |    0.5647 |
#> |.....................|  0.009996 |    0.5668 |     1.762 |     1.829 |
#> |    X|     62695.491 |     4.103 |     73.69 |    0.2013 |    0.5647 |
#> |.....................|  0.009996 |    0.5668 |     1.762 |     1.829 |
#> |    F| Forward Diff. |     43.31 |     50.37 |     319.9 |     492.5 |
#> |.....................|    0.2278 |    0.9138 |    -42.27 |    -52.46 |
#> |  171|     62695.315 |   -0.4802 |    0.7998 |    -1.200 |   -0.9950 |
#> |.....................|    -1.001 |   -0.9923 |   -0.2216 |   -0.1840 |
#> |    U|     62695.315 |     1.412 |     4.300 |    0.2012 |    0.5640 |
#> |.....................|  0.009996 |    0.5667 |     1.762 |     1.829 |
#> |    X|     62695.315 |     4.102 |     73.69 |    0.2012 |    0.5640 |
#> |.....................|  0.009996 |    0.5667 |     1.762 |     1.829 |
#> |    F| Forward Diff. |     43.42 |     50.37 |     165.7 |    -124.9 |
#> |.....................|    0.2263 |     617.9 |    -42.44 |    -52.61 |
#> |  172|     62695.119 |   -0.4803 |    0.7997 |    -1.200 |   -0.9951 |
#> |.....................|    -1.001 |   -0.9930 |   -0.2217 |   -0.1841 |
#> |    U|     62695.119 |     1.411 |     4.300 |    0.2012 |    0.5640 |
#> |.....................|  0.009996 |    0.5660 |     1.762 |     1.829 |
#> |    X|     62695.119 |     4.102 |     73.68 |    0.2012 |    0.5640 |
#> |.....................|  0.009996 |    0.5660 |     1.762 |     1.829 |
#> |    F| Forward Diff. |     42.72 |     49.69 |     320.0 |     494.9 |
#> |.....................|    0.2270 |    -4.817 |    -42.80 |    -52.90 |
#> |  173|     62694.943 |   -0.4803 |    0.7997 |    -1.200 |   -0.9958 |
#> |.....................|    -1.001 |   -0.9931 |   -0.2218 |   -0.1841 |
#> |    U|     62694.943 |     1.411 |     4.300 |    0.2011 |    0.5632 |
#> |.....................|  0.009996 |    0.5659 |     1.761 |     1.828 |
#> |    X|     62694.943 |     4.102 |     73.68 |    0.2011 |    0.5632 |
#> |.....................|  0.009996 |    0.5659 |     1.761 |     1.828 |
#> |    F| Forward Diff. |     43.01 |     49.91 |     165.8 |    -121.3 |
#> |.....................|    0.2264 |     613.9 |    -42.84 |    -52.92 |
#> |  174|     62694.746 |   -0.4804 |    0.7996 |    -1.200 |   -0.9958 |
#> |.....................|    -1.001 |   -0.9939 |   -0.2220 |   -0.1843 |
#> |    U|     62694.746 |     1.411 |     4.300 |    0.2011 |    0.5632 |
#> |.....................|  0.009996 |    0.5651 |     1.761 |     1.828 |
#> |    X|     62694.746 |     4.102 |     73.67 |    0.2011 |    0.5632 |
#> |.....................|  0.009996 |    0.5651 |     1.761 |     1.828 |
#> |    F| Forward Diff. |     42.18 |     49.07 |     318.6 |     492.2 |
#> |.....................|    0.2271 |    -2.693 |    -43.25 |    -53.25 |
#> |  175|     62694.570 |   -0.4805 |    0.7995 |    -1.201 |   -0.9965 |
#> |.....................|    -1.001 |   -0.9940 |   -0.2220 |   -0.1843 |
#> |    U|      62694.57 |     1.411 |     4.300 |    0.2010 |    0.5625 |
#> |.....................|  0.009996 |    0.5651 |     1.761 |     1.828 |
#> |    X|      62694.57 |     4.101 |     73.66 |    0.2010 |    0.5625 |
#> |.....................|  0.009996 |    0.5651 |     1.761 |     1.828 |
#> |    F| Forward Diff. |     42.63 |     49.48 |     164.4 |    -123.6 |
#> |.....................|    0.2263 |     615.7 |    -43.25 |    -53.25 |
#> |  176|     62694.372 |   -0.4805 |    0.7994 |    -1.201 |   -0.9966 |
#> |.....................|    -1.001 |   -0.9947 |   -0.2222 |   -0.1844 |
#> |    U|     62694.372 |     1.411 |     4.299 |    0.2010 |    0.5624 |
#> |.....................|  0.009996 |    0.5643 |     1.761 |     1.828 |
#> |    X|     62694.372 |     4.101 |     73.66 |    0.2010 |    0.5624 |
#> |.....................|  0.009996 |    0.5643 |     1.761 |     1.828 |
#> |    F| Forward Diff. |     41.82 |     48.66 |     317.1 |     489.0 |
#> |.....................|    0.2270 |   -0.1372 |    -43.61 |    -53.50 |
#> |  177|     62694.197 |   -0.4806 |    0.7994 |    -1.201 |   -0.9973 |
#> |.....................|    -1.001 |   -0.9948 |   -0.2222 |   -0.1845 |
#> |    U|     62694.197 |     1.411 |     4.299 |    0.2009 |    0.5617 |
#> |.....................|  0.009996 |    0.5642 |     1.761 |     1.828 |
#> |    X|     62694.197 |     4.101 |     73.65 |    0.2009 |    0.5617 |
#> |.....................|  0.009996 |    0.5642 |     1.761 |     1.828 |
#> |    F| Forward Diff. |     42.11 |     48.89 |     162.9 |    -126.0 |
#> |.....................|    0.2263 |     617.9 |    -43.66 |    -53.56 |
#> |  178|     62693.996 |   -0.4806 |    0.7993 |    -1.201 |   -0.9973 |
#> |.....................|    -1.001 |   -0.9956 |   -0.2224 |   -0.1846 |
#> |    U|     62693.996 |     1.411 |     4.299 |    0.2009 |    0.5617 |
#> |.....................|  0.009996 |    0.5635 |     1.760 |     1.828 |
#> |    X|     62693.996 |     4.101 |     73.65 |    0.2009 |    0.5617 |
#> |.....................|  0.009996 |    0.5635 |     1.760 |     1.828 |
#> |    F| Forward Diff. |     41.58 |     48.42 |     315.6 |     487.0 |
#> |.....................|    0.2277 |     4.056 |    -43.85 |    -53.69 |
#> |  179|     62693.823 |   -0.4807 |    0.7992 |    -1.202 |   -0.9980 |
#> |.....................|    -1.001 |   -0.9957 |   -0.2224 |   -0.1846 |
#> |    U|     62693.823 |     1.411 |     4.299 |    0.2008 |    0.5610 |
#> |.....................|  0.009996 |    0.5634 |     1.760 |     1.828 |
#> |    X|     62693.823 |     4.100 |     73.64 |    0.2008 |    0.5610 |
#> |.....................|  0.009996 |    0.5634 |     1.760 |     1.828 |
#> |    F| Forward Diff. |     41.74 |     48.49 |     161.7 |    -127.4 |
#> |.....................|    0.2263 |     618.5 |    -44.01 |    -53.82 |
#> |  180|     62693.624 |   -0.4808 |    0.7991 |    -1.202 |   -0.9981 |
#> |.....................|    -1.001 |   -0.9964 |   -0.2225 |   -0.1848 |
#> |    U|     62693.624 |     1.411 |     4.299 |    0.2008 |    0.5609 |
#> |.....................|  0.009996 |    0.5626 |     1.760 |     1.827 |
#> |    X|     62693.624 |     4.100 |     73.64 |    0.2008 |    0.5609 |
#> |.....................|  0.009996 |    0.5626 |     1.760 |     1.827 |
#> |    F| Forward Diff. |     41.19 |     47.99 |     315.5 |     489.3 |
#> |.....................|    0.2276 |     1.123 |    -44.25 |    -53.98 |
#> |  181|     62693.449 |   -0.4808 |    0.7991 |    -1.202 |   -0.9988 |
#> |.....................|    -1.001 |   -0.9965 |   -0.2226 |   -0.1848 |
#> |    U|     62693.449 |     1.411 |     4.299 |    0.2007 |    0.5602 |
#> |.....................|  0.009996 |    0.5625 |     1.760 |     1.827 |
#> |    X|     62693.449 |     4.100 |     73.63 |    0.2007 |    0.5602 |
#> |.....................|  0.009996 |    0.5625 |     1.760 |     1.827 |
#> |    F| Forward Diff. |     41.47 |     48.22 |     162.2 |    -121.4 |
#> |.....................|    0.2270 |     614.7 |    -44.25 |    -53.97 |
#> |  182|     62693.253 |   -0.4809 |    0.7990 |    -1.202 |   -0.9988 |
#> |.....................|    -1.001 |   -0.9973 |   -0.2227 |   -0.1849 |
#> |    U|     62693.253 |     1.411 |     4.299 |    0.2006 |    0.5602 |
#> |.....................|  0.009995 |    0.5618 |     1.760 |     1.827 |
#> |    X|     62693.253 |     4.100 |     73.62 |    0.2006 |    0.5602 |
#> |.....................|  0.009995 |    0.5618 |     1.760 |     1.827 |
#> |    F| Forward Diff. |     40.78 |     47.55 |     314.8 |     489.6 |
#> |.....................|    0.2277 |    0.3288 |    -44.60 |    -54.24 |
#> |  183|     62693.080 |   -0.4810 |    0.7989 |    -1.202 |   -0.9996 |
#> |.....................|    -1.001 |   -0.9974 |   -0.2228 |   -0.1850 |
#> |    U|      62693.08 |     1.411 |     4.299 |    0.2005 |    0.5595 |
#> |.....................|  0.009995 |    0.5617 |     1.760 |     1.827 |
#> |    X|      62693.08 |     4.099 |     73.62 |    0.2005 |    0.5595 |
#> |.....................|  0.009995 |    0.5617 |     1.760 |     1.827 |
#> |    F| Forward Diff. |     41.06 |     47.78 |     160.6 |    -124.6 |
#> |.....................|    0.2269 |     617.4 |    -44.63 |    -54.26 |
#> |  184|     62692.883 |   -0.4810 |    0.7988 |    -1.202 |   -0.9996 |
#> |.....................|    -1.001 |   -0.9981 |   -0.2229 |   -0.1851 |
#> |    U|     62692.883 |     1.411 |     4.299 |    0.2005 |    0.5594 |
#> |.....................|  0.009995 |    0.5609 |     1.759 |     1.827 |
#> |    X|     62692.883 |     4.099 |     73.61 |    0.2005 |    0.5594 |
#> |.....................|  0.009995 |    0.5609 |     1.759 |     1.827 |
#> |    F| Forward Diff. |     40.36 |     47.09 |     313.2 |     485.8 |
#> |.....................|    0.2276 |     3.391 |    -44.97 |    -54.53 |
#> |  185|     62692.711 |   -0.4811 |    0.7987 |    -1.203 |    -1.000 |
#> |.....................|    -1.001 |   -0.9982 |   -0.2230 |   -0.1851 |
#> |    U|     62692.711 |     1.411 |     4.299 |    0.2004 |    0.5587 |
#> |.....................|  0.009995 |    0.5608 |     1.759 |     1.827 |
#> |    X|     62692.711 |     4.099 |     73.61 |    0.2004 |    0.5587 |
#> |.....................|  0.009995 |    0.5608 |     1.759 |     1.827 |
#> |    F| Forward Diff. |     40.65 |     47.34 |     158.9 |    -128.4 |
#> |.....................|    0.2269 |     620.2 |    -44.96 |    -54.54 |
#> |  186|     62692.511 |   -0.4812 |    0.7986 |    -1.203 |    -1.000 |
#> |.....................|    -1.001 |   -0.9990 |   -0.2231 |   -0.1852 |
#> |    U|     62692.511 |     1.411 |     4.299 |    0.2004 |    0.5587 |
#> |.....................|  0.009995 |    0.5601 |     1.759 |     1.827 |
#> |    X|     62692.511 |     4.098 |     73.60 |    0.2004 |    0.5587 |
#> |.....................|  0.009995 |    0.5601 |     1.759 |     1.827 |
#> |    F| Forward Diff. |     39.97 |     46.67 |     311.5 |     482.1 |
#> |.....................|    0.2275 |     6.685 |    -45.29 |    -54.79 |
#> |  187|     62692.339 |   -0.4812 |    0.7986 |    -1.203 |    -1.001 |
#> |.....................|    -1.001 |   -0.9991 |   -0.2231 |   -0.1852 |
#> |    U|     62692.339 |     1.411 |     4.299 |    0.2003 |    0.5579 |
#> |.....................|  0.009995 |    0.5600 |     1.759 |     1.826 |
#> |    X|     62692.339 |     4.098 |     73.59 |    0.2003 |    0.5579 |
#> |.....................|  0.009995 |    0.5600 |     1.759 |     1.826 |
#> |    F| Forward Diff. |     40.26 |     46.91 |     157.4 |    -130.9 |
#> |.....................|    0.2269 |     622.1 |    -45.33 |    -54.78 |
#> |  188|     62692.138 |   -0.4813 |    0.7985 |    -1.203 |    -1.001 |
#> |.....................|    -1.001 |   -0.9998 |   -0.2233 |   -0.1854 |
#> |    U|     62692.138 |     1.410 |     4.298 |    0.2003 |    0.5579 |
#> |.....................|  0.009995 |    0.5592 |     1.759 |     1.826 |
#> |    X|     62692.138 |     4.098 |     73.59 |    0.2003 |    0.5579 |
#> |.....................|  0.009995 |    0.5592 |     1.759 |     1.826 |
#> |    F| Forward Diff. |     39.58 |     46.25 |     310.1 |     479.2 |
#> |.....................|    0.2275 |     8.935 |    -45.66 |    -55.07 |
#> |  189|     62691.967 |   -0.4813 |    0.7984 |    -1.203 |    -1.002 |
#> |.....................|    -1.001 |   -0.9999 |   -0.2233 |   -0.1854 |
#> |    U|     62691.967 |     1.410 |     4.298 |    0.2002 |    0.5572 |
#> |.....................|  0.009995 |    0.5591 |     1.759 |     1.826 |
#> |    X|     62691.967 |     4.098 |     73.58 |    0.2002 |    0.5572 |
#> |.....................|  0.009995 |    0.5591 |     1.759 |     1.826 |
#> |    F| Forward Diff. |     39.87 |     46.49 |     155.9 |    -133.3 |
#> |.....................|    0.2268 |     624.0 |    -45.65 |    -55.04 |
#> |  190|     62691.764 |   -0.4814 |    0.7983 |    -1.204 |    -1.002 |
#> |.....................|    -1.001 |    -1.001 |   -0.2234 |   -0.1855 |
#> |    U|     62691.764 |     1.410 |     4.298 |    0.2002 |    0.5571 |
#> |.....................|  0.009995 |    0.5584 |     1.759 |     1.826 |
#> |    X|     62691.764 |     4.097 |     73.58 |    0.2002 |    0.5571 |
#> |.....................|  0.009995 |    0.5584 |     1.759 |     1.826 |
#> |    F| Forward Diff. |     39.20 |     45.84 |     308.6 |     476.2 |
#> |.....................|    0.2275 |     11.24 |    -45.97 |    -55.29 |
#> |  191|     62691.594 |   -0.4815 |    0.7983 |    -1.204 |    -1.003 |
#> |.....................|    -1.001 |    -1.001 |   -0.2235 |   -0.1855 |
#> |    U|     62691.594 |     1.410 |     4.298 |    0.2001 |    0.5564 |
#> |.....................|  0.009995 |    0.5583 |     1.759 |     1.826 |
#> |    X|     62691.594 |     4.097 |     73.57 |    0.2001 |    0.5564 |
#> |.....................|  0.009995 |    0.5583 |     1.759 |     1.826 |
#> |    F| Forward Diff. |     39.50 |     46.08 |     154.4 |    -136.0 |
#> |.....................|    0.2268 |     626.2 |    -45.92 |    -55.25 |
#> |  192|     62691.389 |   -0.4815 |    0.7982 |    -1.204 |    -1.003 |
#> |.....................|    -1.001 |    -1.002 |   -0.2236 |   -0.1856 |
#> |    U|     62691.389 |     1.410 |     4.298 |    0.2001 |    0.5564 |
#> |.....................|  0.009995 |    0.5575 |     1.758 |     1.826 |
#> |    X|     62691.389 |     4.097 |     73.57 |    0.2001 |    0.5564 |
#> |.....................|  0.009995 |    0.5575 |     1.758 |     1.826 |
#> |    F| Forward Diff. |     38.83 |     45.45 |     307.0 |     472.8 |
#> |.....................|    0.2274 |     14.13 |    -46.24 |    -55.52 |
#> |  193|     62691.220 |   -0.4816 |    0.7981 |    -1.204 |    -1.003 |
#> |.....................|    -1.001 |    -1.002 |   -0.2236 |   -0.1856 |
#> |    U|      62691.22 |     1.410 |     4.298 |    0.2000 |    0.5557 |
#> |.....................|  0.009995 |    0.5574 |     1.758 |     1.826 |
#> |    X|      62691.22 |     4.097 |     73.56 |    0.2000 |    0.5557 |
#> |.....................|  0.009995 |    0.5574 |     1.758 |     1.826 |
#> |    F| Forward Diff. |     39.13 |     45.69 |     152.7 |    -139.1 |
#> |.....................|    0.2267 |     628.9 |    -46.25 |    -55.48 |
#> |  194|     62691.014 |   -0.4817 |    0.7980 |    -1.204 |    -1.003 |
#> |.....................|    -1.001 |    -1.002 |   -0.2237 |   -0.1857 |
#> |    U|     62691.014 |     1.410 |     4.298 |    0.2000 |    0.5556 |
#> |.....................|  0.009995 |    0.5567 |     1.758 |     1.826 |
#> |    X|     62691.014 |     4.096 |     73.55 |    0.2000 |    0.5556 |
#> |.....................|  0.009995 |    0.5567 |     1.758 |     1.826 |
#> |    F| Forward Diff. |     38.45 |     45.03 |     305.3 |     469.5 |
#> |.....................|    0.2274 |     16.86 |    -46.54 |    -55.73 |
#> |  195|     62690.846 |   -0.4817 |    0.7980 |    -1.205 |    -1.004 |
#> |.....................|    -1.001 |    -1.002 |   -0.2237 |   -0.1857 |
#> |    U|     62690.846 |     1.410 |     4.298 |    0.1998 |    0.5549 |
#> |.....................|  0.009995 |    0.5566 |     1.758 |     1.826 |
#> |    X|     62690.846 |     4.096 |     73.55 |    0.1998 |    0.5549 |
#> |.....................|  0.009995 |    0.5566 |     1.758 |     1.826 |
#> |    F| Forward Diff. |     38.75 |     45.28 |     151.0 |    -142.5 |
#> |.....................|    0.2267 |     631.5 |    -46.50 |    -55.69 |
#> |  196|     62690.638 |   -0.4818 |    0.7979 |    -1.205 |    -1.004 |
#> |.....................|    -1.001 |    -1.003 |   -0.2239 |   -0.1858 |
#> |    U|     62690.638 |     1.410 |     4.298 |    0.1998 |    0.5549 |
#> |.....................|  0.009995 |    0.5558 |     1.758 |     1.825 |
#> |    X|     62690.638 |     4.096 |     73.54 |    0.1998 |    0.5549 |
#> |.....................|  0.009995 |    0.5558 |     1.758 |     1.825 |
#> |    F| Forward Diff. |     38.08 |     44.63 |     303.7 |     466.0 |
#> |.....................|    0.2274 |     19.86 |    -46.85 |    -55.94 |
#> |  197|     62690.471 |   -0.4818 |    0.7978 |    -1.205 |    -1.005 |
#> |.....................|    -1.001 |    -1.003 |   -0.2239 |   -0.1858 |
#> |    U|     62690.471 |     1.410 |     4.298 |    0.1997 |    0.5542 |
#> |.....................|  0.009995 |    0.5557 |     1.758 |     1.825 |
#> |    X|     62690.471 |     4.096 |     73.54 |    0.1997 |    0.5542 |
#> |.....................|  0.009995 |    0.5557 |     1.758 |     1.825 |
#> |    F| Forward Diff. |     38.38 |     44.89 |     149.2 |    -145.2 |
#> |.....................|    0.2266 |     634.3 |    -46.78 |    -55.82 |
#> |  198|     62690.262 |   -0.4819 |    0.7977 |    -1.205 |    -1.005 |
#> |.....................|    -1.001 |    -1.004 |   -0.2240 |   -0.1859 |
#> |    U|     62690.262 |     1.410 |     4.298 |    0.1997 |    0.5541 |
#> |.....................|  0.009994 |    0.5550 |     1.758 |     1.825 |
#> |    X|     62690.262 |     4.095 |     73.53 |    0.1997 |    0.5541 |
#> |.....................|  0.009994 |    0.5550 |     1.758 |     1.825 |
#> |    F| Forward Diff. |     37.70 |     44.23 |     302.0 |     462.7 |
#> |.....................|    0.2273 |     22.63 |    -47.07 |    -56.09 |
#> |  199|     62690.097 |   -0.4820 |    0.7976 |    -1.205 |    -1.006 |
#> |.....................|    -1.001 |    -1.004 |   -0.2240 |   -0.1859 |
#> |    U|     62690.097 |     1.410 |     4.298 |    0.1996 |    0.5534 |
#> |.....................|  0.009994 |    0.5549 |     1.758 |     1.825 |
#> |    X|     62690.097 |     4.095 |     73.53 |    0.1996 |    0.5534 |
#> |.....................|  0.009994 |    0.5549 |     1.758 |     1.825 |
#> |    F| Forward Diff. |     38.00 |     44.47 |     147.2 |    -149.6 |
#> |.....................|    0.2266 |     637.7 |    -46.95 |    -56.02 |
#> |  200|     62689.886 |   -0.4820 |    0.7976 |    -1.206 |    -1.006 |
#> |.....................|    -1.001 |    -1.005 |   -0.2241 |   -0.1860 |
#> |    U|     62689.886 |     1.410 |     4.298 |    0.1996 |    0.5534 |
#> |.....................|  0.009994 |    0.5541 |     1.757 |     1.825 |
#> |    X|     62689.886 |     4.095 |     73.52 |    0.1996 |    0.5534 |
#> |.....................|  0.009994 |    0.5541 |     1.757 |     1.825 |
#> |    F| Forward Diff. |     37.33 |     43.83 |     300.2 |     459.0 |
#> |.....................|    0.2273 |     25.69 |    -47.30 |    -56.23 |
#> |  201|     62689.723 |   -0.4821 |    0.7975 |    -1.206 |    -1.006 |
#> |.....................|    -1.001 |    -1.005 |   -0.2241 |   -0.1860 |
#> |    U|     62689.723 |     1.410 |     4.297 |    0.1995 |    0.5527 |
#> |.....................|  0.009994 |    0.5540 |     1.757 |     1.825 |
#> |    X|     62689.723 |     4.095 |     73.52 |    0.1995 |    0.5527 |
#> |.....................|  0.009994 |    0.5540 |     1.757 |     1.825 |
#> |    F| Forward Diff. |     37.63 |     44.08 |     145.5 |    -152.7 |
#> |.....................|    0.2265 |     640.5 |    -47.22 |    -56.12 |
#> |  202|     62689.510 |   -0.4822 |    0.7974 |    -1.206 |    -1.006 |
#> |.....................|    -1.001 |    -1.006 |   -0.2242 |   -0.1861 |
#> |    U|      62689.51 |     1.410 |     4.297 |    0.1995 |    0.5526 |
#> |.....................|  0.009994 |    0.5533 |     1.757 |     1.825 |
#> |    X|      62689.51 |     4.094 |     73.51 |    0.1995 |    0.5526 |
#> |.....................|  0.009994 |    0.5533 |     1.757 |     1.825 |
#> |    F| Forward Diff. |     36.96 |     43.43 |     298.5 |     455.5 |
#> |.....................|    0.2272 |     28.76 |    -47.51 |    -56.35 |
#> |  203|     62689.349 |   -0.4822 |    0.7973 |    -1.206 |    -1.007 |
#> |.....................|    -1.001 |    -1.006 |   -0.2242 |   -0.1860 |
#> |    U|     62689.349 |     1.410 |     4.297 |    0.1994 |    0.5519 |
#> |.....................|  0.009994 |    0.5532 |     1.757 |     1.825 |
#> |    X|     62689.349 |     4.094 |     73.50 |    0.1994 |    0.5519 |
#> |.....................|  0.009994 |    0.5532 |     1.757 |     1.825 |
#> |    F| Forward Diff. |     37.27 |     43.69 |     143.5 |    -156.5 |
#> |.....................|    0.2265 |     643.6 |    -47.37 |    -56.22 |
#> |  204|     62689.136 |   -0.4823 |    0.7973 |    -1.206 |    -1.007 |
#> |.....................|    -1.001 |    -1.007 |   -0.2243 |   -0.1861 |
#> |    U|     62689.136 |     1.409 |     4.297 |    0.1993 |    0.5519 |
#> |.....................|  0.009994 |    0.5524 |     1.757 |     1.825 |
#> |    X|     62689.136 |     4.094 |     73.50 |    0.1993 |    0.5519 |
#> |.....................|  0.009994 |    0.5524 |     1.757 |     1.825 |
#> |    F| Forward Diff. |     36.58 |     43.04 |     296.7 |     452.4 |
#> |.....................|    0.2271 |     31.70 |    -47.66 |    -56.49 |
#> |  205|     62688.977 |   -0.4823 |    0.7972 |    -1.207 |    -1.008 |
#> |.....................|    -1.001 |    -1.007 |   -0.2242 |   -0.1861 |
#> |    U|     62688.977 |     1.409 |     4.297 |    0.1992 |    0.5512 |
#> |.....................|  0.009994 |    0.5524 |     1.757 |     1.825 |
#> |    X|     62688.977 |     4.094 |     73.49 |    0.1992 |    0.5512 |
#> |.....................|  0.009994 |    0.5524 |     1.757 |     1.825 |
#> |    F| Forward Diff. |     36.90 |     43.29 |     141.7 |    -159.6 |
#> |.....................|    0.2264 |     646.2 |    -47.56 |    -56.37 |
#> |  206|     62688.763 |   -0.4824 |    0.7971 |    -1.207 |    -1.008 |
#> |.....................|    -1.001 |    -1.007 |   -0.2244 |   -0.1862 |
#> |    U|     62688.763 |     1.409 |     4.297 |    0.1992 |    0.5511 |
#> |.....................|  0.009994 |    0.5516 |     1.757 |     1.825 |
#> |    X|     62688.763 |     4.093 |     73.49 |    0.1992 |    0.5511 |
#> |.....................|  0.009994 |    0.5516 |     1.757 |     1.825 |
#> |    F| Forward Diff. |     36.21 |     42.63 |     295.2 |     449.9 |
#> |.....................|    0.2271 |     33.71 |    -47.91 |    -56.60 |
#> |  207|     62688.606 |   -0.4825 |    0.7970 |    -1.207 |    -1.009 |
#> |.....................|    -1.001 |    -1.007 |   -0.2243 |   -0.1861 |
#> |    U|     62688.606 |     1.409 |     4.297 |    0.1991 |    0.5505 |
#> |.....................|  0.009994 |    0.5515 |     1.757 |     1.825 |
#> |    X|     62688.606 |     4.093 |     73.48 |    0.1991 |    0.5505 |
#> |.....................|  0.009994 |    0.5515 |     1.757 |     1.825 |
#> |    F| Forward Diff. |     36.52 |     42.90 |     140.2 |    -161.5 |
#> |.....................|    0.2263 |     647.7 |    -47.76 |    -56.46 |
#> |  208|     62688.393 |   -0.4825 |    0.7969 |    -1.207 |    -1.009 |
#> |.....................|    -1.001 |    -1.008 |   -0.2245 |   -0.1862 |
#> |    U|     62688.393 |     1.409 |     4.297 |    0.1991 |    0.5504 |
#> |.....................|  0.009994 |    0.5508 |     1.757 |     1.825 |
#> |    X|     62688.393 |     4.093 |     73.47 |    0.1991 |    0.5504 |
#> |.....................|  0.009994 |    0.5508 |     1.757 |     1.825 |
#> |    F| Forward Diff. |     35.83 |     42.23 |     293.7 |     447.2 |
#> |.....................|    0.2271 |     35.37 |    -48.08 |    -56.74 |
#> |  209|     62688.237 |   -0.4826 |    0.7969 |    -1.208 |    -1.009 |
#> |.....................|    -1.001 |    -1.008 |   -0.2244 |   -0.1862 |
#> |    U|     62688.237 |     1.409 |     4.297 |    0.1990 |    0.5497 |
#> |.....................|  0.009994 |    0.5507 |     1.757 |     1.825 |
#> |    X|     62688.237 |     4.093 |     73.47 |    0.1990 |    0.5497 |
#> |.....................|  0.009994 |    0.5507 |     1.757 |     1.825 |
#> |    F| Forward Diff. |     36.14 |     42.50 |     138.4 |    -164.6 |
#> |.....................|    0.2263 |     650.4 |    -47.94 |    -56.56 |
#> |  210|     62688.022 |   -0.4827 |    0.7968 |    -1.208 |    -1.009 |
#> |.....................|    -1.001 |    -1.009 |   -0.2245 |   -0.1863 |
#> |    U|     62688.022 |     1.409 |     4.297 |    0.1990 |    0.5497 |
#> |.....................|  0.009994 |    0.5499 |     1.757 |     1.825 |
#> |    X|     62688.022 |     4.092 |     73.46 |    0.1990 |    0.5497 |
#> |.....................|  0.009994 |    0.5499 |     1.757 |     1.825 |
#> |    F| Forward Diff. |     35.46 |     41.83 |     291.9 |     443.8 |
#> |.....................|    0.2270 |     38.66 |    -48.24 |    -56.81 |
#> |  211|     62687.869 |   -0.4827 |    0.7967 |    -1.208 |    -1.010 |
#> |.....................|    -1.001 |    -1.009 |   -0.2245 |   -0.1862 |
#> |    U|     62687.869 |     1.409 |     4.297 |    0.1988 |    0.5490 |
#> |.....................|  0.009994 |    0.5499 |     1.757 |     1.825 |
#> |    X|     62687.869 |     4.092 |     73.46 |    0.1988 |    0.5490 |
#> |.....................|  0.009994 |    0.5499 |     1.757 |     1.825 |
#> |    F| Forward Diff. |     35.78 |     42.11 |     136.3 |    -168.7 |
#> |.....................|    0.2262 |     653.9 |    -48.06 |    -56.65 |
#> |  212|     62687.655 |   -0.4828 |    0.7966 |    -1.208 |    -1.010 |
#> |.....................|    -1.001 |    -1.010 |   -0.2246 |   -0.1863 |
#> |    U|     62687.655 |     1.409 |     4.297 |    0.1988 |    0.5490 |
#> |.....................|  0.009993 |    0.5491 |     1.756 |     1.825 |
#> |    X|     62687.655 |     4.092 |     73.45 |    0.1988 |    0.5490 |
#> |.....................|  0.009993 |    0.5491 |     1.756 |     1.825 |
#> |    F| Forward Diff. |     35.09 |     41.44 |     290.3 |     440.7 |
#> |.....................|    0.2270 |     41.01 |    -48.37 |    -56.89 |
#> |  213|     62687.502 |   -0.4828 |    0.7966 |    -1.208 |    -1.011 |
#> |.....................|    -1.001 |    -1.010 |   -0.2245 |   -0.1862 |
#> |    U|     62687.502 |     1.409 |     4.297 |    0.1987 |    0.5483 |
#> |.....................|  0.009993 |    0.5491 |     1.757 |     1.825 |
#> |    X|     62687.502 |     4.092 |     73.45 |    0.1987 |    0.5483 |
#> |.....................|  0.009993 |    0.5491 |     1.757 |     1.825 |
#> |    F| Forward Diff. |     35.42 |     41.72 |     135.3 |    -168.7 |
#> |.....................|    0.2261 |     653.3 |    -48.22 |    -56.70 |
#> |  214|     62687.288 |   -0.4829 |    0.7965 |    -1.208 |    -1.011 |
#> |.....................|    -1.001 |    -1.011 |   -0.2247 |   -0.1863 |
#> |    U|     62687.288 |     1.409 |     4.296 |    0.1987 |    0.5482 |
#> |.....................|  0.009993 |    0.5483 |     1.756 |     1.825 |
#> |    X|     62687.288 |     4.091 |     73.44 |    0.1987 |    0.5482 |
#> |.....................|  0.009993 |    0.5483 |     1.756 |     1.825 |
#> |    F| Forward Diff. |     34.73 |     41.05 |     289.0 |     439.4 |
#> |.....................|    0.2268 |     41.89 |    -48.54 |    -56.95 |
#> |  215|     62687.136 |   -0.4830 |    0.7964 |    -1.209 |    -1.011 |
#> |.....................|    -1.001 |    -1.011 |   -0.2246 |   -0.1863 |
#> |    U|     62687.136 |     1.409 |     4.296 |    0.1986 |    0.5476 |
#> |.....................|  0.009993 |    0.5482 |     1.757 |     1.825 |
#> |    X|     62687.136 |     4.091 |     73.44 |    0.1986 |    0.5476 |
#> |.....................|  0.009993 |    0.5482 |     1.757 |     1.825 |
#> |    F| Forward Diff. |     35.05 |     41.32 |     134.3 |    -168.9 |
#> |.....................|    0.2261 |     653.0 |    -48.36 |    -56.75 |
#> |  216|     62686.924 |   -0.4830 |    0.7963 |    -1.209 |    -1.011 |
#> |.....................|    -1.001 |    -1.012 |   -0.2247 |   -0.1864 |
#> |    U|     62686.924 |     1.409 |     4.296 |    0.1986 |    0.5475 |
#> |.....................|  0.009993 |    0.5475 |     1.756 |     1.824 |
#> |    X|     62686.924 |     4.091 |     73.43 |    0.1986 |    0.5475 |
#> |.....................|  0.009993 |    0.5475 |     1.756 |     1.824 |
#> |    F| Forward Diff. |     34.35 |     40.65 |     287.9 |     438.4 |
#> |.....................|    0.2268 |     42.35 |    -48.65 |    -57.02 |
#> |  217|     62686.773 |   -0.4831 |    0.7963 |    -1.209 |    -1.012 |
#> |.....................|    -1.001 |    -1.012 |   -0.2247 |   -0.1863 |
#> |    U|     62686.773 |     1.409 |     4.296 |    0.1985 |    0.5469 |
#> |.....................|  0.009993 |    0.5474 |     1.756 |     1.825 |
#> |    X|     62686.773 |     4.090 |     73.42 |    0.1985 |    0.5469 |
#> |.....................|  0.009993 |    0.5474 |     1.756 |     1.825 |
#> |    F| Forward Diff. |     34.68 |     40.93 |     133.1 |    -169.4 |
#> |.....................|    0.2260 |     652.9 |    -48.50 |    -56.85 |
#> |  218|     62686.562 |   -0.4832 |    0.7962 |    -1.209 |    -1.012 |
#> |.....................|    -1.001 |    -1.012 |   -0.2248 |   -0.1864 |
#> |    U|     62686.562 |     1.409 |     4.296 |    0.1985 |    0.5468 |
#> |.....................|  0.009993 |    0.5467 |     1.756 |     1.824 |
#> |    X|     62686.562 |     4.090 |     73.42 |    0.1985 |    0.5468 |
#> |.....................|  0.009993 |    0.5467 |     1.756 |     1.824 |
#> |    F| Forward Diff. |     33.99 |     40.26 |     286.6 |     437.2 |
#> |.....................|    0.2267 |     43.00 |    -48.82 |    -57.12 |
#> |  219|     62686.411 |   -0.4832 |    0.7961 |    -1.210 |    -1.013 |
#> |.....................|    -1.001 |    -1.012 |   -0.2247 |   -0.1863 |
#> |    U|     62686.411 |     1.409 |     4.296 |    0.1983 |    0.5461 |
#> |.....................|  0.009993 |    0.5466 |     1.756 |     1.825 |
#> |    X|     62686.411 |     4.090 |     73.41 |    0.1983 |    0.5461 |
#> |.....................|  0.009993 |    0.5466 |     1.756 |     1.825 |
#> |    F| Forward Diff. |     34.31 |     40.53 |     132.0 |    -169.6 |
#> |.....................|    0.2260 |     652.6 |    -48.63 |    -56.89 |
#> |  220|     62686.201 |   -0.4833 |    0.7960 |    -1.210 |    -1.013 |
#> |.....................|    -1.001 |    -1.013 |   -0.2249 |   -0.1864 |
#> |    U|     62686.201 |     1.408 |     4.296 |    0.1983 |    0.5461 |
#> |.....................|  0.009993 |    0.5458 |     1.756 |     1.824 |
#> |    X|     62686.201 |     4.090 |     73.41 |    0.1983 |    0.5461 |
#> |.....................|  0.009993 |    0.5458 |     1.756 |     1.824 |
#> |    F| Forward Diff. |     33.62 |     39.87 |     285.4 |     435.9 |
#> |.....................|    0.2267 |     43.54 |    -49.02 |    -57.18 |
#> |  221|     62686.052 |   -0.4834 |    0.7960 |    -1.210 |    -1.014 |
#> |.....................|    -1.001 |    -1.013 |   -0.2248 |   -0.1864 |
#> |    U|     62686.052 |     1.408 |     4.296 |    0.1982 |    0.5454 |
#> |.....................|  0.009993 |    0.5458 |     1.756 |     1.824 |
#> |    X|     62686.052 |     4.089 |     73.40 |    0.1982 |    0.5454 |
#> |.....................|  0.009993 |    0.5458 |     1.756 |     1.824 |
#> |    F| Forward Diff. |     33.94 |     40.13 |     130.9 |    -170.1 |
#> |.....................|    0.2259 |     652.6 |    -48.82 |    -57.00 |
#> |  222|     62685.841 |   -0.4834 |    0.7959 |    -1.210 |    -1.014 |
#> |.....................|    -1.001 |    -1.014 |   -0.2249 |   -0.1865 |
#> |    U|     62685.841 |     1.408 |     4.296 |    0.1982 |    0.5454 |
#> |.....................|  0.009993 |    0.5450 |     1.756 |     1.824 |
#> |    X|     62685.841 |     4.089 |     73.39 |    0.1982 |    0.5454 |
#> |.....................|  0.009993 |    0.5450 |     1.756 |     1.824 |
#> |    F| Forward Diff. |     33.24 |     39.47 |     284.1 |     434.2 |
#> |.....................|    0.2266 |     45.09 |    -49.20 |    -57.27 |
#> |  223|     62685.692 |   -0.4835 |    0.7958 |    -1.210 |    -1.014 |
#> |.....................|    -1.001 |    -1.014 |   -0.2249 |   -0.1864 |
#> |    U|     62685.692 |     1.408 |     4.296 |    0.1981 |    0.5447 |
#> |.....................|  0.009993 |    0.5449 |     1.756 |     1.824 |
#> |    X|     62685.692 |     4.089 |     73.39 |    0.1981 |    0.5447 |
#> |.....................|  0.009993 |    0.5449 |     1.756 |     1.824 |
#> |    F| Forward Diff. |     33.56 |     39.74 |     130.1 |    -169.6 |
#> |.....................|    0.2258 |     651.6 |    -48.97 |    -57.10 |
#> |  224|     62685.484 |   -0.4836 |    0.7957 |    -1.210 |    -1.014 |
#> |.....................|    -1.001 |    -1.015 |   -0.2250 |   -0.1865 |
#> |    U|     62685.484 |     1.408 |     4.296 |    0.1981 |    0.5446 |
#> |.....................|  0.009993 |    0.5442 |     1.756 |     1.824 |
#> |    X|     62685.484 |     4.089 |     73.38 |    0.1981 |    0.5446 |
#> |.....................|  0.009993 |    0.5442 |     1.756 |     1.824 |
#> |    F| Forward Diff. |     32.87 |     39.07 |     283.2 |     434.0 |
#> |.....................|    0.2265 |     44.80 |    -49.31 |    -57.37 |
#> |  225|     62685.335 |   -0.4836 |    0.7956 |    -1.211 |    -1.015 |
#> |.....................|    -1.001 |    -1.015 |   -0.2249 |   -0.1864 |
#> |    U|     62685.335 |     1.408 |     4.296 |    0.1980 |    0.5440 |
#> |.....................|  0.009993 |    0.5441 |     1.756 |     1.824 |
#> |    X|     62685.335 |     4.088 |     73.38 |    0.1980 |    0.5440 |
#> |.....................|  0.009993 |    0.5441 |     1.756 |     1.824 |
#> |    F| Forward Diff. |     33.19 |     39.34 |     128.9 |    -170.5 |
#> |.....................|    0.2258 |     652.0 |    -49.15 |    -57.18 |
#> |  226|     62685.127 |   -0.4837 |    0.7955 |    -1.211 |    -1.015 |
#> |.....................|    -1.001 |    -1.016 |   -0.2251 |   -0.1866 |
#> |    U|     62685.127 |     1.408 |     4.296 |    0.1980 |    0.5439 |
#> |.....................|  0.009993 |    0.5434 |     1.756 |     1.824 |
#> |    X|     62685.127 |     4.088 |     73.37 |    0.1980 |    0.5439 |
#> |.....................|  0.009993 |    0.5434 |     1.756 |     1.824 |
#> |    F| Forward Diff. |     32.50 |     38.66 |     282.0 |     432.4 |
#> |.....................|    0.2265 |     45.45 |    -49.49 |    -57.47 |
#> |  227|     62684.980 |   -0.4837 |    0.7955 |    -1.211 |    -1.016 |
#> |.....................|    -1.001 |    -1.016 |   -0.2250 |   -0.1865 |
#> |    U|      62684.98 |     1.408 |     4.295 |    0.1979 |    0.5432 |
#> |.....................|  0.009993 |    0.5433 |     1.756 |     1.824 |
#> |    X|      62684.98 |     4.088 |     73.37 |    0.1979 |    0.5432 |
#> |.....................|  0.009993 |    0.5433 |     1.756 |     1.824 |
#> |    F| Forward Diff. |     32.82 |     38.94 |     127.8 |    -170.8 |
#> |.....................|    0.2257 |     651.6 |    -49.31 |    -57.27 |
#> |  228|     62684.772 |   -0.4838 |    0.7954 |    -1.211 |    -1.016 |
#> |.....................|    -1.001 |    -1.016 |   -0.2252 |   -0.1866 |
#> |    U|     62684.772 |     1.408 |     4.295 |    0.1979 |    0.5432 |
#> |.....................|  0.009993 |    0.5425 |     1.755 |     1.824 |
#> |    X|     62684.772 |     4.088 |     73.36 |    0.1979 |    0.5432 |
#> |.....................|  0.009993 |    0.5425 |     1.755 |     1.824 |
#> |    F| Forward Diff. |     32.14 |     38.28 |     280.7 |     431.1 |
#> |.....................|    0.2265 |     46.78 |    -49.62 |    -57.51 |
#> |  229|     62684.625 |   -0.4839 |    0.7953 |    -1.212 |    -1.016 |
#> |.....................|    -1.001 |    -1.017 |   -0.2251 |   -0.1865 |
#> |    U|     62684.625 |     1.408 |     4.295 |    0.1977 |    0.5425 |
#> |.....................|  0.009993 |    0.5425 |     1.756 |     1.824 |
#> |    X|     62684.625 |     4.087 |     73.36 |    0.1977 |    0.5425 |
#> |.....................|  0.009993 |    0.5425 |     1.756 |     1.824 |
#> |    F| Forward Diff. |     32.46 |     38.55 |     126.9 |    -170.6 |
#> |.....................|    0.2256 |     650.9 |    -49.43 |    -57.34 |
#> |  230|     62684.419 |   -0.4839 |    0.7952 |    -1.212 |    -1.017 |
#> |.....................|    -1.002 |    -1.017 |   -0.2253 |   -0.1866 |
#> |    U|     62684.419 |     1.408 |     4.295 |    0.1978 |    0.5424 |
#> |.....................|  0.009992 |    0.5417 |     1.755 |     1.824 |
#> |    X|     62684.419 |     4.087 |     73.35 |    0.1978 |    0.5424 |
#> |.....................|  0.009992 |    0.5417 |     1.755 |     1.824 |
#> |    F| Forward Diff. |     31.77 |     37.89 |     279.8 |     430.9 |
#> |.....................|    0.2264 |     46.27 |    -49.82 |    -57.62 |
#> |  231|     62684.273 |   -0.4840 |    0.7952 |    -1.212 |    -1.017 |
#> |.....................|    -1.002 |    -1.017 |   -0.2252 |   -0.1866 |
#> |    U|     62684.273 |     1.408 |     4.295 |    0.1976 |    0.5418 |
#> |.....................|  0.009992 |    0.5416 |     1.755 |     1.824 |
#> |    X|     62684.273 |     4.087 |     73.35 |    0.1976 |    0.5418 |
#> |.....................|  0.009992 |    0.5416 |     1.755 |     1.824 |
#> |    F| Forward Diff. |     32.09 |     38.17 |     125.7 |    -171.7 |
#> |.....................|    0.2256 |     651.5 |    -49.65 |    -57.43 |
#> |  232|     62684.066 |   -0.4841 |    0.7951 |    -1.212 |    -1.017 |
#> |.....................|    -1.002 |    -1.018 |   -0.2253 |   -0.1867 |
#> |    U|     62684.066 |     1.408 |     4.295 |    0.1976 |    0.5417 |
#> |.....................|  0.009992 |    0.5409 |     1.755 |     1.824 |
#> |    X|     62684.066 |     4.087 |     73.34 |    0.1976 |    0.5417 |
#> |.....................|  0.009992 |    0.5409 |     1.755 |     1.824 |
#> |    F| Forward Diff. |     31.41 |     37.50 |     278.4 |     428.9 |
#> |.....................|    0.2264 |     47.75 |    -49.98 |    -57.70 |
#> |  233|     62683.921 |   -0.4841 |    0.7950 |    -1.212 |    -1.018 |
#> |.....................|    -1.002 |    -1.018 |   -0.2253 |   -0.1866 |
#> |    U|     62683.921 |     1.408 |     4.295 |    0.1975 |    0.5411 |
#> |.....................|  0.009992 |    0.5408 |     1.755 |     1.824 |
#> |    X|     62683.921 |     4.086 |     73.33 |    0.1975 |    0.5411 |
#> |.....................|  0.009992 |    0.5408 |     1.755 |     1.824 |
#> |    F| Forward Diff. |     31.73 |     37.77 |     124.9 |    -171.2 |
#> |.....................|    0.2255 |     650.6 |    -49.77 |    -57.53 |
#> |  234|     62683.715 |   -0.4842 |    0.7949 |    -1.212 |    -1.018 |
#> |.....................|    -1.002 |    -1.019 |   -0.2254 |   -0.1867 |
#> |    U|     62683.715 |     1.408 |     4.295 |    0.1975 |    0.5410 |
#> |.....................|  0.009992 |    0.5401 |     1.755 |     1.824 |
#> |    X|     62683.715 |     4.086 |     73.33 |    0.1975 |    0.5410 |
#> |.....................|  0.009992 |    0.5401 |     1.755 |     1.824 |
#> |    F| Forward Diff. |     31.05 |     37.11 |     277.4 |     428.0 |
#> |.....................|    0.2264 |     47.94 |    -50.08 |    -57.80 |
#> |  235|     62683.571 |   -0.4842 |    0.7949 |    -1.213 |    -1.019 |
#> |.....................|    -1.002 |    -1.019 |   -0.2253 |   -0.1867 |
#> |    U|     62683.571 |     1.408 |     4.295 |    0.1974 |    0.5403 |
#> |.....................|  0.009992 |    0.5400 |     1.755 |     1.824 |
#> |    X|     62683.571 |     4.086 |     73.32 |    0.1974 |    0.5403 |
#> |.....................|  0.009992 |    0.5400 |     1.755 |     1.824 |
#> |    F| Forward Diff. |     31.37 |     37.38 |     123.8 |    -171.9 |
#> |.....................|    0.2255 |     650.7 |    -49.92 |    -57.61 |
#> |  236|     62683.366 |   -0.4843 |    0.7948 |    -1.213 |    -1.019 |
#> |.....................|    -1.002 |    -1.020 |   -0.2255 |   -0.1868 |
#> |    U|     62683.366 |     1.407 |     4.295 |    0.1974 |    0.5403 |
#> |.....................|  0.009992 |    0.5392 |     1.755 |     1.824 |
#> |    X|     62683.366 |     4.086 |     73.32 |    0.1974 |    0.5403 |
#> |.....................|  0.009992 |    0.5392 |     1.755 |     1.824 |
#> |    F| Forward Diff. |     30.70 |     36.72 |     276.2 |     426.5 |
#> |.....................|    0.2263 |     49.18 |    -50.35 |    -57.88 |
#> |  237|     62683.221 |   -0.4844 |    0.7947 |    -1.213 |    -1.019 |
#> |.....................|    -1.002 |    -1.020 |   -0.2254 |   -0.1867 |
#> |    U|     62683.221 |     1.407 |     4.295 |    0.1973 |    0.5396 |
#> |.....................|  0.009992 |    0.5392 |     1.755 |     1.824 |
#> |    X|     62683.221 |     4.085 |     73.31 |    0.1973 |    0.5396 |
#> |.....................|  0.009992 |    0.5392 |     1.755 |     1.824 |
#> |    F| Forward Diff. |     31.02 |     37.01 |     122.9 |    -171.5 |
#> |.....................|    0.2254 |     649.8 |    -50.08 |    -57.70 |
#> |  238|     62683.017 |   -0.4844 |    0.7946 |    -1.213 |    -1.019 |
#> |.....................|    -1.002 |    -1.021 |   -0.2256 |   -0.1868 |
#> |    U|     62683.017 |     1.407 |     4.295 |    0.1973 |    0.5395 |
#> |.....................|  0.009992 |    0.5384 |     1.755 |     1.824 |
#> |    X|     62683.017 |     4.085 |     73.30 |    0.1973 |    0.5395 |
#> |.....................|  0.009992 |    0.5384 |     1.755 |     1.824 |
#> |    F| Forward Diff. |     30.33 |     36.35 |     275.3 |     426.3 |
#> |.....................|    0.2262 |     48.69 |    -50.46 |    -57.98 |
#> |  239|     62682.874 |   -0.4845 |    0.7946 |    -1.214 |    -1.020 |
#> |.....................|    -1.002 |    -1.021 |   -0.2255 |   -0.1867 |
#> |    U|     62682.874 |     1.407 |     4.295 |    0.1972 |    0.5389 |
#> |.....................|  0.009992 |    0.5383 |     1.755 |     1.824 |
#> |    X|     62682.874 |     4.085 |     73.30 |    0.1972 |    0.5389 |
#> |.....................|  0.009992 |    0.5383 |     1.755 |     1.824 |
#> |    F| Forward Diff. |     30.65 |     36.62 |     121.7 |    -172.7 |
#> |.....................|    0.2254 |     650.3 |    -50.29 |    -57.81 |
#> |  240|     62682.670 |   -0.4845 |    0.7945 |    -1.214 |    -1.020 |
#> |.....................|    -1.002 |    -1.021 |   -0.2256 |   -0.1869 |
#> |    U|      62682.67 |     1.407 |     4.294 |    0.1972 |    0.5388 |
#> |.....................|  0.009992 |    0.5376 |     1.755 |     1.824 |
#> |    X|      62682.67 |     4.085 |     73.29 |    0.1972 |    0.5388 |
#> |.....................|  0.009992 |    0.5376 |     1.755 |     1.824 |
#> |    F| Forward Diff. |     29.98 |     35.97 |     274.0 |     424.6 |
#> |.....................|    0.2262 |     50.32 |    -50.65 |    -58.08 |
#> |  241|     62682.527 |   -0.4846 |    0.7944 |    -1.214 |    -1.021 |
#> |.....................|    -1.002 |    -1.022 |   -0.2256 |   -0.1868 |
#> |    U|     62682.527 |     1.407 |     4.294 |    0.1970 |    0.5381 |
#> |.....................|  0.009992 |    0.5375 |     1.755 |     1.824 |
#> |    X|     62682.527 |     4.084 |     73.29 |    0.1970 |    0.5381 |
#> |.....................|  0.009992 |    0.5375 |     1.755 |     1.824 |
#> |    F| Forward Diff. |     30.30 |     36.23 |     121.0 |    -171.9 |
#> |.....................|    0.2253 |     649.3 |    -50.49 |    -57.93 |
#> |  242|     62682.324 |   -0.4847 |    0.7943 |    -1.214 |    -1.021 |
#> |.....................|    -1.002 |    -1.022 |   -0.2257 |   -0.1869 |
#> |    U|     62682.324 |     1.407 |     4.294 |    0.1971 |    0.5381 |
#> |.....................|  0.009992 |    0.5368 |     1.754 |     1.823 |
#> |    X|     62682.324 |     4.084 |     73.28 |    0.1971 |    0.5381 |
#> |.....................|  0.009992 |    0.5368 |     1.754 |     1.823 |
#> |    F| Forward Diff. |     29.62 |     35.58 |     273.1 |     424.3 |
#> |.....................|    0.2261 |     49.72 |    -50.82 |    -58.16 |
#> |  243|     62682.182 |   -0.4847 |    0.7943 |    -1.214 |    -1.022 |
#> |.....................|    -1.002 |    -1.022 |   -0.2256 |   -0.1868 |
#> |    U|     62682.182 |     1.407 |     4.294 |    0.1969 |    0.5374 |
#> |.....................|  0.009992 |    0.5367 |     1.755 |     1.824 |
#> |    X|     62682.182 |     4.084 |     73.28 |    0.1969 |    0.5374 |
#> |.....................|  0.009992 |    0.5367 |     1.755 |     1.824 |
#> |    F| Forward Diff. |     29.94 |     35.85 |     119.7 |    -173.1 |
#> |.....................|    0.2253 |     649.8 |    -50.61 |    -57.99 |
#> |  244|     62681.979 |   -0.4848 |    0.7942 |    -1.214 |    -1.022 |
#> |.....................|    -1.002 |    -1.023 |   -0.2258 |   -0.1870 |
#> |    U|     62681.979 |     1.407 |     4.294 |    0.1969 |    0.5373 |
#> |.....................|  0.009992 |    0.5359 |     1.754 |     1.823 |
#> |    X|     62681.979 |     4.084 |     73.27 |    0.1969 |    0.5373 |
#> |.....................|  0.009992 |    0.5359 |     1.754 |     1.823 |
#> |    F| Forward Diff. |     29.27 |     35.20 |     271.8 |     422.4 |
#> |.....................|    0.2260 |     51.22 |    -51.01 |    -58.25 |
#> |  245|     62681.838 |   -0.4848 |    0.7941 |    -1.215 |    -1.022 |
#> |.....................|    -1.002 |    -1.023 |   -0.2257 |   -0.1869 |
#> |    U|     62681.838 |     1.407 |     4.294 |    0.1968 |    0.5367 |
#> |.....................|  0.009992 |    0.5358 |     1.754 |     1.824 |
#> |    X|     62681.838 |     4.083 |     73.27 |    0.1968 |    0.5367 |
#> |.....................|  0.009992 |    0.5358 |     1.754 |     1.824 |
#> |    F| Forward Diff. |     29.59 |     35.48 |     119.0 |    -172.8 |
#> |.....................|    0.2252 |     648.9 |    -50.78 |    -58.07 |
#> |  246|     62681.635 |   -0.4849 |    0.7940 |    -1.215 |    -1.022 |
#> |.....................|    -1.002 |    -1.024 |   -0.2259 |   -0.1870 |
#> |    U|     62681.635 |     1.407 |     4.294 |    0.1968 |    0.5366 |
#> |.....................|  0.009991 |    0.5351 |     1.754 |     1.823 |
#> |    X|     62681.635 |     4.083 |     73.26 |    0.1968 |    0.5366 |
#> |.....................|  0.009991 |    0.5351 |     1.754 |     1.823 |
#> |    F| Forward Diff. |     28.92 |     34.82 |     270.9 |     421.7 |
#> |.....................|    0.2260 |     51.15 |    -51.16 |    -58.36 |
#> |  247|     62681.494 |   -0.4850 |    0.7940 |    -1.215 |    -1.023 |
#> |.....................|    -1.002 |    -1.024 |   -0.2258 |   -0.1869 |
#> |    U|     62681.494 |     1.407 |     4.294 |    0.1967 |    0.5359 |
#> |.....................|  0.009991 |    0.5350 |     1.754 |     1.823 |
#> |    X|     62681.494 |     4.083 |     73.26 |    0.1967 |    0.5359 |
#> |.....................|  0.009991 |    0.5350 |     1.754 |     1.823 |
#> |    F| Forward Diff. |     29.24 |     35.09 |     117.9 |    -173.5 |
#> |.....................|    0.2251 |     648.9 |    -50.96 |    -58.18 |
#> |  248|     62681.292 |   -0.4850 |    0.7939 |    -1.215 |    -1.023 |
#> |.....................|    -1.002 |    -1.025 |   -0.2260 |   -0.1871 |
#> |    U|     62681.292 |     1.407 |     4.294 |    0.1967 |    0.5358 |
#> |.....................|  0.009991 |    0.5343 |     1.754 |     1.823 |
#> |    X|     62681.292 |     4.083 |     73.25 |    0.1967 |    0.5358 |
#> |.....................|  0.009991 |    0.5343 |     1.754 |     1.823 |
#> |    F| Forward Diff. |     28.57 |     34.45 |     269.7 |     420.3 |
#> |.....................|    0.2258 |     52.09 |    -51.35 |    -58.47 |
#> |  249|     62681.151 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.151 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5342 |     1.754 |     1.823 |
#> |    X|     62681.151 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5342 |     1.754 |     1.823 |
#> |    F| Forward Diff. |     28.89 |     34.72 |     117.0 |    -173.4 |
#> |.....................|    0.2250 |     648.2 |    -51.13 |    -58.28 |
#> |  250|     64993.353 |   -0.4851 |    0.7937 |    -1.215 |    -1.024 |
#> |.....................|    -1.002 |    -1.026 |   -0.2260 |   -0.1871 |
#> |    U|     64993.353 |     1.407 |     4.294 |    0.1966 |    0.5351 |
#> |.....................|  0.009991 |    0.5334 |     1.754 |     1.823 |
#> |    X|     64993.353 |     4.082 |     73.24 |    0.1966 |    0.5351 |
#> |.....................|  0.009991 |    0.5334 |     1.754 |     1.823 |
#> |  251|     62681.104 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.104 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     62681.104 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    F| Forward Diff. |     28.84 |     34.67 |     137.5 |    -92.88 |
#> |.....................|    0.2252 |     567.7 |    -51.12 |    -58.25 |
#> |  252|     65003.445 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1869 |
#> |    U|     65003.445 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5340 |     1.754 |     1.823 |
#> |    X|     65003.445 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5340 |     1.754 |     1.823 |
#> |  253|     62681.096 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.096 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     62681.096 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    F| Forward Diff. |     28.83 |     34.66 |     141.2 |    -78.30 |
#> |.....................|    0.2252 |     553.1 |    -51.09 |    -58.26 |
#> |  254|     65006.020 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|      65006.02 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|      65006.02 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |  255|     62681.094 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.094 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     62681.094 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    F| Forward Diff. |     28.99 |     34.88 |     142.1 |    -73.70 |
#> |.....................|    0.2262 |     552.0 |    -50.85 |    -58.13 |
#> |  256|     65006.524 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     65006.524 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     65006.524 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |  257|     62681.094 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.094 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     62681.094 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    F| Forward Diff. |     28.85 |     34.70 |     142.1 |    -74.52 |
#> |.....................|    0.2254 |     549.9 |    -51.02 |    -58.23 |
#> |  258|     62681.093 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.093 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     62681.093 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |  259|     65006.582 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     65006.582 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     65006.582 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    F| Forward Diff. |     28.80 |     34.64 |     142.3 |    -73.99 |
#> |.....................|    0.2252 |     548.3 |    -51.08 |    -58.26 |
#> |  260|     65006.554 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     65006.554 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     65006.554 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |  261|     62681.093 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.093 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     62681.093 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    F| Forward Diff. |     28.82 |     34.66 |     142.4 |    -73.45 |
#> |.....................|    0.2253 |     548.2 |    -51.09 |    -58.26 |
#> |  262|     62681.093 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.093 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     62681.093 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |  263|     65006.579 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     65006.579 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     65006.579 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    F| Forward Diff. |     28.80 |     34.63 |     142.5 |    -73.13 |
#> |.....................|    0.2251 |     547.4 |    -51.13 |    -58.28 |
#> |  264|     65006.565 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     65006.565 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     65006.565 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |  265|     62681.093 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.093 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     62681.093 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    F| Forward Diff. |     28.81 |     34.64 |     142.6 |    -72.88 |
#> |.....................|    0.2252 |     547.5 |    -51.08 |    -58.28 |
#> |  266|     62681.092 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.092 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     62681.092 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |  267|     65006.573 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     65006.573 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     65006.573 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    F| Forward Diff. |     28.80 |     34.64 |     142.7 |    -72.63 |
#> |.....................|    0.2251 |     546.9 |    -51.12 |    -58.28 |
#> |  268|     65006.565 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     65006.565 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     65006.565 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |  269|     62681.092 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.092 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     62681.092 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    F| Forward Diff. |     28.81 |     34.64 |     142.7 |    -72.56 |
#> |.....................|    0.2252 |     547.0 |    -51.11 |    -58.27 |
#> |  270|     62681.092 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.092 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     62681.092 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |  271|     65006.573 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     65006.573 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     65006.573 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    F| Forward Diff. |     28.80 |     34.64 |     142.7 |    -72.26 |
#> |.....................|    0.2251 |     546.6 |    -51.12 |    -58.25 |
#> |  272|     65006.567 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     65006.567 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     65006.567 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |  273|     65006.582 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     65006.582 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     65006.582 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |  274|     62681.092 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.092 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     62681.092 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    F| Forward Diff. |     28.81 |     34.64 |     142.7 |    -72.25 |
#> |.....................|    0.2251 |     546.8 |    -51.09 |    -58.27 |
#> |  275|     62681.092 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.092 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     62681.092 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    C| Central Diff. |     26.89 |     33.37 |     103.0 |    -136.1 |
#> |.....................|    0.2119 |     484.5 |    -52.31 |    -59.39 |
#> |  276|     65006.582 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     65006.582 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     65006.582 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |  277|     62681.092 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.092 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     62681.092 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    F| Forward Diff. |     28.82 |     34.67 |     142.8 |    -72.00 |
#> |.....................|    0.2253 |     546.9 |    -51.11 |    -58.26 |
#> |  278|     62681.092 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.092 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     62681.092 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |  279|     62681.092 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.092 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     62681.092 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |  280|     62681.092 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.092 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     62681.092 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |  281|     62681.092 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.092 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     62681.092 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |  282|     62681.092 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.092 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     62681.092 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |  283|     62681.092 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.092 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     62681.092 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |  284|     62681.092 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.092 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     62681.092 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |  285|     62681.092 |   -0.4851 |    0.7938 |    -1.216 |    -1.024 |
#> |.....................|    -1.002 |    -1.025 |   -0.2259 |   -0.1870 |
#> |    U|     62681.092 |     1.407 |     4.294 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> |    X|     62681.092 |     4.082 |     73.25 |    0.1966 |    0.5352 |
#> |.....................|  0.009991 |    0.5341 |     1.754 |     1.823 |
#> calculating covariance matrix
#> done
#> Calculating residuals/tables
#> done
#> Warning: Hessian reset during optimization; (can control by foceiControl(resetHessianAndEta=.))
#> 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: numerical difficulties solving forward sensitivity inner problem, tried approximating with more inaccurate numeric differences
#> Warning: gradient problems with initial estimate and covariance; see $scaleInfo
#> Warning: 'ss' is ignored with classic RxODE 'EVID's

## In addition to using L-BFGS-B for FOCEi (outer problem) you may
## use other optimizers.  An example is below

one.cmt <- function() {
  ini({
      tka <- .44   # log Ka
      tcl <- log(c(0, 2.7, 100)) # log Cl
      tv <- 3.45    # log V
      eta.ka ~ 0.6
      eta.cl ~ 0.3
      eta.v ~ 0.1
      add.err <- 0.7
  })
  model({
      ka <- exp(tka + eta.ka)
      cl <- exp(tcl + eta.cl)
      v <- exp(tv + eta.v)
      linCmt() ~ add(add.err)
  })
}

fit <- nlmixr(one.cmt, theo_sd, "focei", foceiControl(outerOpt="bobyqa"))
#>  parameter labels from comments will be replaced by 'label()'
#> → 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 ∂(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
#> 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 |       tka |       tcl |        tv |   add.err |
#> |.....................|        o1 |        o2 |        o3 |...........|
#> |    1|     133.58639 |    -1.000 |   -0.6324 |     1.000 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.3946 |   -0.1108 |...........|
#> |    U|     133.58639 |    0.4400 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    X|     133.58639 |     1.553 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    2|     133.58639 |    -1.000 |   -0.6324 |     1.000 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.3946 |   -0.1108 |...........|
#> |    U|     133.58639 |    0.4400 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    X|     133.58639 |     1.553 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    3|     134.07361 |   -0.8000 |   -0.6324 |     1.000 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.3946 |   -0.1108 |...........|
#> |    U|     134.07361 |    0.6400 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    X|     134.07361 |     1.896 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    4|     134.78512 |    -1.000 |   -0.4324 |     1.000 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.3946 |   -0.1108 |...........|
#> |    U|     134.78512 |    0.4400 |     1.193 |     3.450 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    X|     134.78512 |     1.553 |     3.298 |     31.50 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    5|     137.47499 |    -1.000 |   -0.6324 |     1.200 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.3946 |   -0.1108 |...........|
#> |    U|     137.47499 |    0.4400 |    0.9933 |     3.650 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    X|     137.47499 |     1.553 |     2.700 |     38.47 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    6|     135.53466 |    -1.000 |   -0.6324 |     1.000 |   -0.6272 |
#> |.....................|   -0.5374 |   -0.3946 |   -0.1108 |...........|
#> |    U|     135.53466 |    0.4400 |    0.9933 |     3.450 |    0.7700 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    X|     135.53466 |     1.553 |     2.700 |     31.50 |    0.7700 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    7|     133.69855 |    -1.000 |   -0.6324 |     1.000 |   -0.8272 |
#> |.....................|   -0.3374 |   -0.3946 |   -0.1108 |...........|
#> |    U|     133.69855 |    0.4400 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.363 |     1.351 |     1.778 |...........|
#> |    X|     133.69855 |     1.553 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.363 |     1.351 |     1.778 |...........|
#> |    8|     128.07696 |    -1.000 |   -0.6324 |     1.000 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.1946 |   -0.1108 |...........|
#> |    U|     128.07696 |    0.4400 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.136 |     1.621 |     1.778 |...........|
#> |    X|     128.07696 |     1.553 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.136 |     1.621 |     1.778 |...........|
#> |    9|     128.14520 |    -1.000 |   -0.6324 |     1.000 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.3946 |   0.08922 |...........|
#> |    U|      128.1452 |    0.4400 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     2.134 |...........|
#> |    X|      128.1452 |     1.553 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     2.134 |...........|
#> |   10|     134.59979 |    -1.200 |   -0.6324 |     1.000 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.3946 |   -0.1108 |...........|
#> |    U|     134.59979 |    0.2400 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    X|     134.59979 |     1.271 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |   11|     135.43950 |    -1.000 |   -0.8324 |     1.000 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.3946 |   -0.1108 |...........|
#> |    U|      135.4395 |    0.4400 |    0.7933 |     3.450 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    X|      135.4395 |     1.553 |     2.211 |     31.50 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |   12|     138.67902 |    -1.000 |   -0.6324 |    0.8000 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.3946 |   -0.1108 |...........|
#> |    U|     138.67902 |    0.4400 |    0.9933 |     3.250 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    X|     138.67902 |     1.553 |     2.700 |     25.79 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |   13|     135.58963 |    -1.000 |   -0.6324 |     1.000 |    -1.027 |
#> |.....................|   -0.5374 |   -0.3946 |   -0.1108 |...........|
#> |    U|     135.58963 |    0.4400 |    0.9933 |     3.450 |    0.6300 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    X|     135.58963 |     1.553 |     2.700 |     31.50 |    0.6300 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |   14|     138.56769 |    -1.000 |   -0.6324 |     1.000 |   -0.8272 |
#> |.....................|   -0.7374 |   -0.3946 |   -0.1108 |...........|
#> |    U|     138.56769 |    0.4400 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|    0.9090 |     1.351 |     1.778 |...........|
#> |    X|     138.56769 |     1.553 |     2.700 |     31.50 |    0.7000 |
#> |.....................|    0.9090 |     1.351 |     1.778 |...........|
#> |   15|     142.37620 |    -1.000 |   -0.6324 |     1.000 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.5946 |   -0.1108 |...........|
#> |    U|      142.3762 |    0.4400 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.136 |     1.081 |     1.778 |...........|
#> |    X|      142.3762 |     1.553 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.136 |     1.081 |     1.778 |...........|
#> |   16|     142.26587 |    -1.000 |   -0.6324 |     1.000 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.3946 |   -0.3108 |...........|
#> |    U|     142.26587 |    0.4400 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.423 |...........|
#> |    X|     142.26587 |     1.553 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.423 |...........|
#> |   17|     121.38523 |   -0.9927 |   -0.6244 |     1.007 |   -0.8266 |
#> |.....................|   -0.4882 |   -0.1019 |   0.05898 |...........|
#> |    U|     121.38523 |    0.4473 |     1.001 |     3.457 |    0.7002 |
#> |.....................|     1.192 |     1.747 |     2.080 |...........|
#> |    X|     121.38523 |     1.564 |     2.722 |     31.73 |    0.7002 |
#> |.....................|     1.192 |     1.747 |     2.080 |...........|
#> |   18|     117.00311 |   -0.9739 |   -0.6115 |     1.014 |   -0.8259 |
#> |.....................|   -0.4441 |   0.03626 |    0.3195 |...........|
#> |    U|     117.00311 |    0.4661 |     1.014 |     3.464 |    0.7005 |
#> |.....................|     1.242 |     1.933 |     2.544 |...........|
#> |    X|     117.00311 |     1.594 |     2.757 |     31.93 |    0.7005 |
#> |.....................|     1.242 |     1.933 |     2.544 |...........|
#> |   19|     116.92018 |   -0.9612 |   -0.6096 |     1.014 |   -0.8258 |
#> |.....................|   -0.4387 |   0.05447 |    0.3388 |...........|
#> |    U|     116.92018 |    0.4788 |     1.016 |     3.464 |    0.7005 |
#> |.....................|     1.248 |     1.958 |     2.578 |...........|
#> |    X|     116.92018 |     1.614 |     2.762 |     31.93 |    0.7005 |
#> |.....................|     1.248 |     1.958 |     2.578 |...........|
#> |   20|     117.04237 |   -0.9022 |   -0.6060 |     1.014 |   -0.8258 |
#> |.....................|   -0.4368 |   0.05053 |    0.3472 |...........|
#> |    U|     117.04237 |    0.5378 |     1.020 |     3.464 |    0.7005 |
#> |.....................|     1.251 |     1.953 |     2.593 |...........|
#> |    X|     117.04237 |     1.712 |     2.772 |     31.94 |    0.7005 |
#> |.....................|     1.251 |     1.953 |     2.593 |...........|
#> |   21|     116.92294 |   -0.9600 |   -0.6089 |     1.020 |   -0.8257 |
#> |.....................|   -0.4358 |   0.06769 |    0.3520 |...........|
#> |    U|     116.92294 |    0.4800 |     1.017 |     3.470 |    0.7005 |
#> |.....................|     1.252 |     1.976 |     2.601 |...........|
#> |    X|     116.92294 |     1.616 |     2.764 |     32.14 |    0.7005 |
#> |.....................|     1.252 |     1.976 |     2.601 |...........|
#> |   22|     116.94533 |   -0.9661 |   -0.6076 |     1.000 |   -0.8258 |
#> |.....................|   -0.4353 |   0.06673 |    0.3448 |...........|
#> |    U|     116.94533 |    0.4739 |     1.018 |     3.450 |    0.7005 |
#> |.....................|     1.252 |     1.974 |     2.588 |...........|
#> |    X|     116.94533 |     1.606 |     2.768 |     31.52 |    0.7005 |
#> |.....................|     1.252 |     1.974 |     2.588 |...........|
#> |   23|     116.88502 |   -0.9600 |   -0.6149 |     1.014 |   -0.8257 |
#> |.....................|   -0.4358 |   0.06791 |    0.3522 |...........|
#> |    U|     116.88502 |    0.4800 |     1.011 |     3.464 |    0.7005 |
#> |.....................|     1.252 |     1.976 |     2.602 |...........|
#> |    X|     116.88502 |     1.616 |     2.748 |     31.95 |    0.7005 |
#> |.....................|     1.252 |     1.976 |     2.602 |...........|
#> |   24|     116.86729 |   -0.9609 |   -0.6207 |     1.012 |   -0.8249 |
#> |.....................|   -0.4257 |   0.05604 |    0.3630 |...........|
#> |    U|     116.86729 |    0.4791 |     1.005 |     3.462 |    0.7008 |
#> |.....................|     1.263 |     1.960 |     2.621 |...........|
#> |    X|     116.86729 |     1.615 |     2.732 |     31.87 |    0.7008 |
#> |.....................|     1.263 |     1.960 |     2.621 |...........|
#> |   25|     116.85110 |   -0.9598 |   -0.6204 |     1.012 |   -0.8306 |
#> |.....................|   -0.4224 |   0.06903 |    0.3766 |...........|
#> |    U|      116.8511 |    0.4802 |     1.005 |     3.462 |    0.6988 |
#> |.....................|     1.267 |     1.978 |     2.645 |...........|
#> |    X|      116.8511 |     1.616 |     2.733 |     31.88 |    0.6988 |
#> |.....................|     1.267 |     1.978 |     2.645 |...........|
#> |   26|     116.86546 |   -0.9573 |   -0.6301 |     1.010 |   -0.8443 |
#> |.....................|   -0.4321 |   0.06513 |    0.3780 |...........|
#> |    U|     116.86546 |    0.4827 |    0.9956 |     3.460 |    0.6940 |
#> |.....................|     1.256 |     1.972 |     2.647 |...........|
#> |    X|     116.86546 |     1.620 |     2.706 |     31.83 |    0.6940 |
#> |.....................|     1.256 |     1.972 |     2.647 |...........|
#> |   27|     116.86249 |   -0.9586 |   -0.6201 |     1.012 |   -0.8307 |
#> |.....................|   -0.4249 |   0.08268 |    0.3910 |...........|
#> |    U|     116.86249 |    0.4814 |     1.006 |     3.462 |    0.6988 |
#> |.....................|     1.264 |     1.996 |     2.671 |...........|
#> |    X|     116.86249 |     1.618 |     2.734 |     31.90 |    0.6988 |
#> |.....................|     1.264 |     1.996 |     2.671 |...........|
#> |   28|     116.89929 |   -0.9740 |   -0.6320 |     1.014 |   -0.8309 |
#> |.....................|   -0.4220 |   0.07545 |    0.3724 |...........|
#> |    U|     116.89929 |    0.4660 |    0.9936 |     3.464 |    0.6987 |
#> |.....................|     1.267 |     1.986 |     2.637 |...........|
#> |    X|     116.89929 |     1.594 |     2.701 |     31.94 |    0.6987 |
#> |.....................|     1.267 |     1.986 |     2.637 |...........|
#> |   29|     116.94096 |   -0.9490 |   -0.6348 |     1.013 |   -0.8253 |
#> |.....................|   -0.4169 |   0.07225 |    0.3741 |...........|
#> |    U|     116.94096 |    0.4910 |    0.9908 |     3.463 |    0.7007 |
#> |.....................|     1.273 |     1.982 |     2.640 |...........|
#> |    X|     116.94096 |     1.634 |     2.693 |     31.90 |    0.7007 |
#> |.....................|     1.273 |     1.982 |     2.640 |...........|
#> |   30|     116.83181 |   -0.9615 |   -0.6098 |     1.007 |   -0.8420 |
#> |.....................|   -0.4314 |   0.06644 |    0.3826 |...........|
#> |    U|     116.83181 |    0.4785 |     1.016 |     3.457 |    0.6948 |
#> |.....................|     1.257 |     1.974 |     2.656 |...........|
#> |    X|     116.83181 |     1.614 |     2.762 |     31.71 |    0.6948 |
#> |.....................|     1.257 |     1.974 |     2.656 |...........|
#> |   31|     116.84097 |   -0.9556 |   -0.6156 |     1.008 |   -0.8386 |
#> |.....................|   -0.4336 |   0.06962 |    0.3771 |...........|
#> |    U|     116.84097 |    0.4844 |     1.010 |     3.458 |    0.6960 |
#> |.....................|     1.254 |     1.978 |     2.646 |...........|
#> |    X|     116.84097 |     1.623 |     2.746 |     31.74 |    0.6960 |
#> |.....................|     1.254 |     1.978 |     2.646 |...........|
#> |   32|     117.04648 |   -0.9636 |   -0.6140 |    0.9888 |   -0.8390 |
#> |.....................|   -0.4262 |   0.07155 |    0.3834 |...........|
#> |    U|     117.04648 |    0.4764 |     1.012 |     3.439 |    0.6959 |
#> |.....................|     1.263 |     1.981 |     2.657 |...........|
#> |    X|     117.04648 |     1.610 |     2.750 |     31.15 |    0.6959 |
#> |.....................|     1.263 |     1.981 |     2.657 |...........|
#> |   33|     116.88710 |   -0.9653 |   -0.6067 |     1.022 |   -0.8467 |
#> |.....................|   -0.4304 |   0.06017 |    0.3917 |...........|
#> |    U|      116.8871 |    0.4747 |     1.019 |     3.472 |    0.6932 |
#> |.....................|     1.258 |     1.966 |     2.672 |...........|
#> |    X|      116.8871 |     1.608 |     2.770 |     32.19 |    0.6932 |
#> |.....................|     1.258 |     1.966 |     2.672 |...........|
#> |   34|     116.84327 |   -0.9666 |   -0.6117 |     1.004 |   -0.8294 |
#> |.....................|   -0.4415 |   0.05682 |    0.3859 |...........|
#> |    U|     116.84327 |    0.4734 |     1.014 |     3.454 |    0.6993 |
#> |.....................|     1.245 |     1.961 |     2.662 |...........|
#> |    X|     116.84327 |     1.606 |     2.756 |     31.64 |    0.6993 |
#> |.....................|     1.245 |     1.961 |     2.662 |...........|
#> |   35|     116.83129 |   -0.9748 |   -0.6069 |     1.009 |   -0.8392 |
#> |.....................|   -0.4370 |   0.05832 |    0.3723 |...........|
#> |    U|     116.83129 |    0.4652 |     1.019 |     3.459 |    0.6958 |
#> |.....................|     1.250 |     1.963 |     2.637 |...........|
#> |    X|     116.83129 |     1.592 |     2.770 |     31.78 |    0.6958 |
#> |.....................|     1.250 |     1.963 |     2.637 |...........|
#> |   36|     116.85341 |   -0.9757 |   -0.6078 |     1.009 |   -0.8388 |
#> |.....................|   -0.4407 |   0.04169 |    0.3619 |...........|
#> |    U|     116.85341 |    0.4643 |     1.018 |     3.459 |    0.6960 |
#> |.....................|     1.246 |     1.941 |     2.619 |...........|
#> |    X|     116.85341 |     1.591 |     2.767 |     31.77 |    0.6960 |
#> |.....................|     1.246 |     1.941 |     2.619 |...........|
#> |   37|     116.83797 |   -0.9562 |   -0.6060 |     1.010 |   -0.8381 |
#> |.....................|   -0.4323 |   0.05852 |    0.3776 |...........|
#> |    U|     116.83797 |    0.4838 |     1.020 |     3.460 |    0.6962 |
#> |.....................|     1.256 |     1.963 |     2.647 |...........|
#> |    X|     116.83797 |     1.622 |     2.772 |     31.80 |    0.6962 |
#> |.....................|     1.256 |     1.963 |     2.647 |...........|
#> |   38|     116.82858 |   -0.9733 |   -0.6129 |     1.010 |   -0.8373 |
#> |.....................|   -0.4429 |   0.06218 |    0.3751 |...........|
#> |    U|     116.82858 |    0.4667 |     1.013 |     3.460 |    0.6965 |
#> |.....................|     1.244 |     1.968 |     2.642 |...........|
#> |    X|     116.82858 |     1.595 |     2.753 |     31.81 |    0.6965 |
#> |.....................|     1.244 |     1.968 |     2.642 |...........|
#> |   39|     116.82247 |   -0.9728 |   -0.6123 |     1.011 |   -0.8350 |
#> |.....................|   -0.4375 |   0.06548 |    0.3823 |...........|
#> |    U|     116.82247 |    0.4672 |     1.013 |     3.461 |    0.6973 |
#> |.....................|     1.250 |     1.973 |     2.655 |...........|
#> |    X|     116.82247 |     1.595 |     2.755 |     31.85 |    0.6973 |
#> |.....................|     1.250 |     1.973 |     2.655 |...........|
#> |   40|     116.82365 |   -0.9769 |   -0.6112 |     1.012 |   -0.8348 |
#> |.....................|   -0.4363 |   0.06712 |    0.3845 |...........|
#> |    U|     116.82365 |    0.4631 |     1.014 |     3.462 |    0.6973 |
#> |.....................|     1.251 |     1.975 |     2.659 |...........|
#> |    X|     116.82365 |     1.589 |     2.758 |     31.87 |    0.6973 |
#> |.....................|     1.251 |     1.975 |     2.659 |...........|
#> |   41|     116.82600 |   -0.9725 |   -0.6093 |     1.011 |   -0.8332 |
#> |.....................|   -0.4339 |   0.06459 |    0.3814 |...........|
#> |    U|       116.826 |    0.4675 |     1.016 |     3.461 |    0.6979 |
#> |.....................|     1.254 |     1.972 |     2.653 |...........|
#> |    X|       116.826 |     1.596 |     2.763 |     31.85 |    0.6979 |
#> |.....................|     1.254 |     1.972 |     2.653 |...........|
#> |   42|     116.82414 |   -0.9727 |   -0.6135 |     1.012 |   -0.8361 |
#> |.....................|   -0.4388 |   0.06765 |    0.3836 |...........|
#> |    U|     116.82414 |    0.4673 |     1.012 |     3.462 |    0.6969 |
#> |.....................|     1.248 |     1.976 |     2.657 |...........|
#> |    X|     116.82414 |     1.596 |     2.752 |     31.88 |    0.6969 |
#> |.....................|     1.248 |     1.976 |     2.657 |...........|
#> |   43|     116.82450 |   -0.9724 |   -0.6120 |     1.010 |   -0.8345 |
#> |.....................|   -0.4374 |   0.06556 |    0.3799 |...........|
#> |    U|      116.8245 |    0.4676 |     1.014 |     3.460 |    0.6975 |
#> |.....................|     1.250 |     1.973 |     2.651 |...........|
#> |    X|      116.8245 |     1.596 |     2.756 |     31.83 |    0.6975 |
#> |.....................|     1.250 |     1.973 |     2.651 |...........|
#> |   44|     116.82015 |   -0.9735 |   -0.6138 |     1.012 |   -0.8351 |
#> |.....................|   -0.4369 |   0.06380 |    0.3830 |...........|
#> |    U|     116.82015 |    0.4665 |     1.012 |     3.462 |    0.6973 |
#> |.....................|     1.250 |     1.971 |     2.656 |...........|
#> |    X|     116.82015 |     1.594 |     2.751 |     31.87 |    0.6973 |
#> |.....................|     1.250 |     1.971 |     2.656 |...........|
#> |   45|     116.81854 |   -0.9777 |   -0.6155 |     1.011 |   -0.8348 |
#> |.....................|   -0.4372 |   0.06149 |    0.3842 |...........|
#> |    U|     116.81854 |    0.4623 |     1.010 |     3.461 |    0.6974 |
#> |.....................|     1.250 |     1.967 |     2.659 |...........|
#> |    X|     116.81854 |     1.588 |     2.746 |     31.86 |    0.6974 |
#> |.....................|     1.250 |     1.967 |     2.659 |...........|
#> |   46|     116.82033 |   -0.9822 |   -0.6156 |     1.011 |   -0.8344 |
#> |.....................|   -0.4386 |   0.06050 |    0.3843 |...........|
#> |    U|     116.82033 |    0.4578 |     1.010 |     3.461 |    0.6975 |
#> |.....................|     1.248 |     1.966 |     2.659 |...........|
#> |    X|     116.82033 |     1.581 |     2.746 |     31.85 |    0.6975 |
#> |.....................|     1.248 |     1.966 |     2.659 |...........|
#> |   47|     116.81596 |   -0.9794 |   -0.6162 |     1.010 |   -0.8357 |
#> |.....................|   -0.4373 |   0.06087 |    0.3875 |...........|
#> |    U|     116.81596 |    0.4606 |     1.009 |     3.460 |    0.6970 |
#> |.....................|     1.250 |     1.967 |     2.664 |...........|
#> |    X|     116.81596 |     1.585 |     2.744 |     31.83 |    0.6970 |
#> |.....................|     1.250 |     1.967 |     2.664 |...........|
#> |   48|     116.81226 |   -0.9796 |   -0.6158 |     1.010 |   -0.8383 |
#> |.....................|   -0.4356 |   0.06162 |    0.3911 |...........|
#> |    U|     116.81226 |    0.4604 |     1.010 |     3.460 |    0.6961 |
#> |.....................|     1.252 |     1.968 |     2.671 |...........|
#> |    X|     116.81226 |     1.585 |     2.745 |     31.83 |    0.6961 |
#> |.....................|     1.252 |     1.968 |     2.671 |...........|
#> |   49|     116.81391 |   -0.9830 |   -0.6164 |     1.011 |   -0.8407 |
#> |.....................|   -0.4344 |   0.06379 |    0.3994 |...........|
#> |    U|     116.81391 |    0.4570 |     1.009 |     3.461 |    0.6953 |
#> |.....................|     1.253 |     1.971 |     2.686 |...........|
#> |    X|     116.81391 |     1.579 |     2.744 |     31.85 |    0.6953 |
#> |.....................|     1.253 |     1.971 |     2.686 |...........|
#> |   50|     116.81051 |   -0.9803 |   -0.6139 |     1.010 |   -0.8392 |
#> |.....................|   -0.4372 |   0.06001 |    0.3932 |...........|
#> |    U|     116.81051 |    0.4597 |     1.012 |     3.460 |    0.6958 |
#> |.....................|     1.250 |     1.965 |     2.675 |...........|
#> |    X|     116.81051 |     1.584 |     2.750 |     31.82 |    0.6958 |
#> |.....................|     1.250 |     1.965 |     2.675 |...........|
#> |   51|     116.81047 |   -0.9824 |   -0.6127 |     1.008 |   -0.8426 |
#> |.....................|   -0.4371 |   0.05853 |    0.3926 |...........|
#> |    U|     116.81047 |    0.4576 |     1.013 |     3.458 |    0.6946 |
#> |.....................|     1.250 |     1.963 |     2.674 |...........|
#> |    X|     116.81047 |     1.580 |     2.754 |     31.76 |    0.6946 |
#> |.....................|     1.250 |     1.963 |     2.674 |...........|
#> |   52|     116.80854 |   -0.9815 |   -0.6124 |     1.009 |   -0.8428 |
#> |.....................|   -0.4369 |   0.05688 |    0.3941 |...........|
#> |    U|     116.80854 |    0.4585 |     1.013 |     3.459 |    0.6945 |
#> |.....................|     1.250 |     1.961 |     2.676 |...........|
#> |    X|     116.80854 |     1.582 |     2.755 |     31.77 |    0.6945 |
#> |.....................|     1.250 |     1.961 |     2.676 |...........|
#> |   53|     116.80717 |   -0.9819 |   -0.6127 |     1.009 |   -0.8421 |
#> |.....................|   -0.4358 |   0.05526 |    0.3952 |...........|
#> |    U|     116.80717 |    0.4581 |     1.013 |     3.459 |    0.6948 |
#> |.....................|     1.252 |     1.959 |     2.678 |...........|
#> |    X|     116.80717 |     1.581 |     2.754 |     31.78 |    0.6948 |
#> |.....................|     1.252 |     1.959 |     2.678 |...........|
#> |   54|     116.80704 |   -0.9841 |   -0.6129 |     1.008 |   -0.8422 |
#> |.....................|   -0.4356 |   0.05297 |    0.3987 |...........|
#> |    U|     116.80704 |    0.4559 |     1.013 |     3.458 |    0.6948 |
#> |.....................|     1.252 |     1.956 |     2.684 |...........|
#> |    X|     116.80704 |     1.578 |     2.753 |     31.77 |    0.6948 |
#> |.....................|     1.252 |     1.956 |     2.684 |...........|
#> |   55|     116.80595 |   -0.9815 |   -0.6135 |     1.009 |   -0.8423 |
#> |.....................|   -0.4337 |   0.05380 |    0.3953 |...........|
#> |    U|     116.80595 |    0.4585 |     1.012 |     3.459 |    0.6947 |
#> |.....................|     1.254 |     1.957 |     2.678 |...........|
#> |    X|     116.80595 |     1.582 |     2.752 |     31.78 |    0.6947 |
#> |.....................|     1.254 |     1.957 |     2.678 |...........|
#> |   56|     116.80604 |   -0.9803 |   -0.6136 |     1.009 |   -0.8416 |
#> |.....................|   -0.4324 |   0.05402 |    0.3933 |...........|
#> |    U|     116.80604 |    0.4597 |     1.012 |     3.459 |    0.6950 |
#> |.....................|     1.256 |     1.957 |     2.675 |...........|
#> |    X|     116.80604 |     1.584 |     2.751 |     31.79 |    0.6950 |
#> |.....................|     1.256 |     1.957 |     2.675 |...........|
#> |   57|     116.80631 |   -0.9831 |   -0.6130 |     1.009 |   -0.8431 |
#> |.....................|   -0.4343 |   0.05181 |    0.3956 |...........|
#> |    U|     116.80631 |    0.4569 |     1.013 |     3.459 |    0.6945 |
#> |.....................|     1.253 |     1.954 |     2.679 |...........|
#> |    X|     116.80631 |     1.579 |     2.753 |     31.77 |    0.6945 |
#> |.....................|     1.253 |     1.954 |     2.679 |...........|
#> |   58|     116.80571 |   -0.9807 |   -0.6144 |     1.009 |   -0.8431 |
#> |.....................|   -0.4335 |   0.05354 |    0.3953 |...........|
#> |    U|     116.80571 |    0.4593 |     1.011 |     3.459 |    0.6945 |
#> |.....................|     1.254 |     1.957 |     2.678 |...........|
#> |    X|     116.80571 |     1.583 |     2.749 |     31.78 |    0.6945 |
#> |.....................|     1.254 |     1.957 |     2.678 |...........|
#> |   59|     116.80647 |   -0.9816 |   -0.6151 |     1.009 |   -0.8431 |
#> |.....................|   -0.4328 |   0.05391 |    0.3953 |...........|
#> |    U|     116.80647 |    0.4584 |     1.011 |     3.459 |    0.6945 |
#> |.....................|     1.255 |     1.957 |     2.678 |...........|
#> |    X|     116.80647 |     1.582 |     2.747 |     31.77 |    0.6945 |
#> |.....................|     1.255 |     1.957 |     2.678 |...........|
#> |   60|     116.80537 |   -0.9797 |   -0.6136 |     1.009 |   -0.8433 |
#> |.....................|   -0.4340 |   0.05318 |    0.3952 |...........|
#> |    U|     116.80537 |    0.4603 |     1.012 |     3.459 |    0.6944 |
#> |.....................|     1.254 |     1.956 |     2.678 |...........|
#> |    X|     116.80537 |     1.585 |     2.751 |     31.78 |    0.6944 |
#> |.....................|     1.254 |     1.956 |     2.678 |...........|
#> |   61|     116.80559 |   -0.9789 |   -0.6133 |     1.009 |   -0.8433 |
#> |.....................|   -0.4339 |   0.05291 |    0.3939 |...........|
#> |    U|     116.80559 |    0.4611 |     1.012 |     3.459 |    0.6944 |
#> |.....................|     1.254 |     1.956 |     2.676 |...........|
#> |    X|     116.80559 |     1.586 |     2.752 |     31.78 |    0.6944 |
#> |.....................|     1.254 |     1.956 |     2.676 |...........|
#> |   62|     116.80552 |   -0.9788 |   -0.6143 |     1.009 |   -0.8434 |
#> |.....................|   -0.4339 |   0.05366 |    0.3945 |...........|
#> |    U|     116.80552 |    0.4612 |     1.011 |     3.459 |    0.6944 |
#> |.....................|     1.254 |     1.957 |     2.677 |...........|
#> |    X|     116.80552 |     1.586 |     2.749 |     31.78 |    0.6944 |
#> |.....................|     1.254 |     1.957 |     2.677 |...........|
#> |   63|     116.80495 |   -0.9797 |   -0.6134 |     1.009 |   -0.8440 |
#> |.....................|   -0.4336 |   0.05378 |    0.3962 |...........|
#> |    U|     116.80495 |    0.4603 |     1.012 |     3.459 |    0.6941 |
#> |.....................|     1.254 |     1.957 |     2.680 |...........|
#> |    X|     116.80495 |     1.585 |     2.752 |     31.79 |    0.6941 |
#> |.....................|     1.254 |     1.957 |     2.680 |...........|
#> |   64|     116.80502 |   -0.9804 |   -0.6133 |     1.009 |   -0.8451 |
#> |.....................|   -0.4338 |   0.05389 |    0.3987 |...........|
#> |    U|     116.80502 |    0.4596 |     1.012 |     3.459 |    0.6938 |
#> |.....................|     1.254 |     1.957 |     2.684 |...........|
#> |    X|     116.80502 |     1.583 |     2.752 |     31.80 |    0.6938 |
#> |.....................|     1.254 |     1.957 |     2.684 |...........|
#> |   65|     116.80577 |   -0.9791 |   -0.6135 |     1.008 |   -0.8438 |
#> |.....................|   -0.4333 |   0.05449 |    0.3956 |...........|
#> |    U|     116.80577 |    0.4609 |     1.012 |     3.458 |    0.6942 |
#> |.....................|     1.254 |     1.958 |     2.679 |...........|
#> |    X|     116.80577 |     1.586 |     2.752 |     31.77 |    0.6942 |
#> |.....................|     1.254 |     1.958 |     2.679 |...........|
#> |   66|     116.80499 |   -0.9802 |   -0.6138 |     1.010 |   -0.8441 |
#> |.....................|   -0.4333 |   0.05386 |    0.3962 |...........|
#> |    U|     116.80499 |    0.4598 |     1.012 |     3.460 |    0.6941 |
#> |.....................|     1.254 |     1.957 |     2.680 |...........|
#> |    X|     116.80499 |     1.584 |     2.751 |     31.82 |    0.6941 |
#> |.....................|     1.254 |     1.957 |     2.680 |...........|
#> |   67|     116.80456 |   -0.9794 |   -0.6133 |     1.009 |   -0.8430 |
#> |.....................|   -0.4331 |   0.05317 |    0.3967 |...........|
#> |    U|     116.80456 |    0.4606 |     1.012 |     3.459 |    0.6945 |
#> |.....................|     1.255 |     1.956 |     2.681 |...........|
#> |    X|     116.80456 |     1.585 |     2.752 |     31.80 |    0.6945 |
#> |.....................|     1.255 |     1.956 |     2.681 |...........|
#> |   68|     116.80413 |   -0.9790 |   -0.6136 |     1.010 |   -0.8429 |
#> |.....................|   -0.4329 |   0.05223 |    0.3976 |...........|
#> |    U|     116.80413 |    0.4610 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.255 |     1.955 |     2.682 |...........|
#> |    X|     116.80413 |     1.586 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.255 |     1.955 |     2.682 |...........|
#> |   69|     116.80381 |   -0.9788 |   -0.6142 |     1.010 |   -0.8432 |
#> |.....................|   -0.4330 |   0.05048 |    0.3997 |...........|
#> |    U|     116.80381 |    0.4612 |     1.011 |     3.460 |    0.6944 |
#> |.....................|     1.255 |     1.953 |     2.686 |...........|
#> |    X|     116.80381 |     1.586 |     2.750 |     31.81 |    0.6944 |
#> |.....................|     1.255 |     1.953 |     2.686 |...........|
#> |   70|     116.80383 |   -0.9792 |   -0.6139 |     1.009 |   -0.8441 |
#> |.....................|   -0.4327 |   0.04927 |    0.4011 |...........|
#> |    U|     116.80383 |    0.4608 |     1.012 |     3.459 |    0.6941 |
#> |.....................|     1.255 |     1.951 |     2.689 |...........|
#> |    X|     116.80383 |     1.585 |     2.750 |     31.80 |    0.6941 |
#> |.....................|     1.255 |     1.951 |     2.689 |...........|
#> |   71|     116.80387 |   -0.9780 |   -0.6137 |     1.010 |   -0.8434 |
#> |.....................|   -0.4329 |   0.05106 |    0.3992 |...........|
#> |    U|     116.80387 |    0.4620 |     1.012 |     3.460 |    0.6943 |
#> |.....................|     1.255 |     1.953 |     2.685 |...........|
#> |    X|     116.80387 |     1.587 |     2.751 |     31.83 |    0.6943 |
#> |.....................|     1.255 |     1.953 |     2.685 |...........|
#> |   72|     116.80361 |   -0.9776 |   -0.6141 |     1.010 |   -0.8435 |
#> |.....................|   -0.4326 |   0.05049 |    0.4002 |...........|
#> |    U|     116.80361 |    0.4624 |     1.012 |     3.460 |    0.6943 |
#> |.....................|     1.255 |     1.953 |     2.687 |...........|
#> |    X|     116.80361 |     1.588 |     2.750 |     31.81 |    0.6943 |
#> |.....................|     1.255 |     1.953 |     2.687 |...........|
#> |   73|     116.80362 |   -0.9763 |   -0.6143 |     1.010 |   -0.8430 |
#> |.....................|   -0.4320 |   0.05061 |    0.4006 |...........|
#> |    U|     116.80362 |    0.4637 |     1.011 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.953 |     2.688 |...........|
#> |    X|     116.80362 |     1.590 |     2.749 |     31.82 |    0.6945 |
#> |.....................|     1.256 |     1.953 |     2.688 |...........|
#> |   74|     116.80348 |   -0.9771 |   -0.6138 |     1.010 |   -0.8437 |
#> |.....................|   -0.4324 |   0.04924 |    0.4003 |...........|
#> |    U|     116.80348 |    0.4629 |     1.012 |     3.460 |    0.6942 |
#> |.....................|     1.255 |     1.951 |     2.687 |...........|
#> |    X|     116.80348 |     1.589 |     2.751 |     31.81 |    0.6942 |
#> |.....................|     1.255 |     1.951 |     2.687 |...........|
#> |   75|     116.80350 |   -0.9763 |   -0.6136 |     1.009 |   -0.8441 |
#> |.....................|   -0.4323 |   0.04892 |    0.4002 |...........|
#> |    U|      116.8035 |    0.4637 |     1.012 |     3.459 |    0.6941 |
#> |.....................|     1.256 |     1.950 |     2.687 |...........|
#> |    X|      116.8035 |     1.590 |     2.751 |     31.80 |    0.6941 |
#> |.....................|     1.256 |     1.950 |     2.687 |...........|
#> |   76|     116.80344 |   -0.9767 |   -0.6135 |     1.010 |   -0.8434 |
#> |.....................|   -0.4322 |   0.04911 |    0.4003 |...........|
#> |    U|     116.80344 |    0.4633 |     1.012 |     3.460 |    0.6943 |
#> |.....................|     1.256 |     1.951 |     2.687 |...........|
#> |    X|     116.80344 |     1.589 |     2.751 |     31.80 |    0.6943 |
#> |.....................|     1.256 |     1.951 |     2.687 |...........|
#> |   77|     116.80344 |   -0.9764 |   -0.6136 |     1.010 |   -0.8433 |
#> |.....................|   -0.4320 |   0.04910 |    0.4001 |...........|
#> |    U|     116.80344 |    0.4636 |     1.012 |     3.460 |    0.6944 |
#> |.....................|     1.256 |     1.951 |     2.687 |...........|
#> |    X|     116.80344 |     1.590 |     2.751 |     31.81 |    0.6944 |
#> |.....................|     1.256 |     1.951 |     2.687 |...........|
#> |   78|     116.80343 |   -0.9764 |   -0.6136 |     1.010 |   -0.8433 |
#> |.....................|   -0.4320 |   0.04909 |    0.4002 |...........|
#> |    U|     116.80343 |    0.4636 |     1.012 |     3.460 |    0.6944 |
#> |.....................|     1.256 |     1.951 |     2.687 |...........|
#> |    X|     116.80343 |     1.590 |     2.751 |     31.81 |    0.6944 |
#> |.....................|     1.256 |     1.951 |     2.687 |...........|
#> |   79|     116.80326 |   -0.9763 |   -0.6136 |     1.010 |   -0.8431 |
#> |.....................|   -0.4323 |   0.04897 |    0.4002 |...........|
#> |    U|     116.80326 |    0.4637 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.950 |     2.687 |...........|
#> |    X|     116.80326 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.256 |     1.950 |     2.687 |...........|
#> |   80|     116.80346 |   -0.9758 |   -0.6138 |     1.010 |   -0.8427 |
#> |.....................|   -0.4327 |   0.04871 |    0.4004 |...........|
#> |    U|     116.80346 |    0.4642 |     1.012 |     3.460 |    0.6946 |
#> |.....................|     1.255 |     1.950 |     2.687 |...........|
#> |    X|     116.80346 |     1.591 |     2.751 |     31.81 |    0.6946 |
#> |.....................|     1.255 |     1.950 |     2.687 |...........|
#> |   81|     116.80342 |   -0.9761 |   -0.6136 |     1.010 |   -0.8431 |
#> |.....................|   -0.4323 |   0.04875 |    0.4005 |...........|
#> |    U|     116.80342 |    0.4639 |     1.012 |     3.460 |    0.6944 |
#> |.....................|     1.256 |     1.950 |     2.688 |...........|
#> |    X|     116.80342 |     1.590 |     2.751 |     31.81 |    0.6944 |
#> |.....................|     1.256 |     1.950 |     2.688 |...........|
#> |   82|     116.80346 |   -0.9762 |   -0.6136 |     1.010 |   -0.8430 |
#> |.....................|   -0.4324 |   0.04894 |    0.3999 |...........|
#> |    U|     116.80346 |    0.4638 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.950 |     2.686 |...........|
#> |    X|     116.80346 |     1.590 |     2.751 |     31.80 |    0.6945 |
#> |.....................|     1.256 |     1.950 |     2.686 |...........|
#> |   83|     116.80343 |   -0.9763 |   -0.6137 |     1.010 |   -0.8430 |
#> |.....................|   -0.4322 |   0.04891 |    0.4003 |...........|
#> |    U|     116.80343 |    0.4637 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.950 |     2.687 |...........|
#> |    X|     116.80343 |     1.590 |     2.751 |     31.80 |    0.6945 |
#> |.....................|     1.256 |     1.950 |     2.687 |...........|
#> |   84|     116.80343 |   -0.9762 |   -0.6137 |     1.010 |   -0.8430 |
#> |.....................|   -0.4323 |   0.04912 |    0.4002 |...........|
#> |    U|     116.80343 |    0.4638 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.951 |     2.687 |...........|
#> |    X|     116.80343 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.256 |     1.951 |     2.687 |...........|
#> |   85|     116.80343 |   -0.9762 |   -0.6136 |     1.010 |   -0.8431 |
#> |.....................|   -0.4323 |   0.04900 |    0.4002 |...........|
#> |    U|     116.80343 |    0.4638 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.951 |     2.687 |...........|
#> |    X|     116.80343 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.256 |     1.951 |     2.687 |...........|
#> |   86|     116.80343 |   -0.9763 |   -0.6136 |     1.010 |   -0.8431 |
#> |.....................|   -0.4323 |   0.04889 |    0.4002 |...........|
#> |    U|     116.80343 |    0.4637 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.950 |     2.687 |...........|
#> |    X|     116.80343 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.256 |     1.950 |     2.687 |...........|
#> |   87|     116.80343 |   -0.9762 |   -0.6137 |     1.010 |   -0.8430 |
#> |.....................|   -0.4323 |   0.04890 |    0.4002 |...........|
#> |    U|     116.80343 |    0.4638 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.950 |     2.687 |...........|
#> |    X|     116.80343 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.256 |     1.950 |     2.687 |...........|
#> |   88|     116.80349 |   -0.9763 |   -0.6137 |     1.010 |   -0.8431 |
#> |.....................|   -0.4323 |   0.04898 |    0.4002 |...........|
#> |    U|     116.80349 |    0.4637 |     1.012 |     3.460 |    0.6944 |
#> |.....................|     1.256 |     1.951 |     2.687 |...........|
#> |    X|     116.80349 |     1.590 |     2.751 |     31.81 |    0.6944 |
#> |.....................|     1.256 |     1.951 |     2.687 |...........|
#> |   89|     116.80343 |   -0.9764 |   -0.6137 |     1.010 |   -0.8431 |
#> |.....................|   -0.4323 |   0.04901 |    0.4002 |...........|
#> |    U|     116.80343 |    0.4636 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.951 |     2.687 |...........|
#> |    X|     116.80343 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.256 |     1.951 |     2.687 |...........|
#> |   90|     116.80342 |   -0.9763 |   -0.6136 |     1.010 |   -0.8431 |
#> |.....................|   -0.4323 |   0.04897 |    0.4003 |...........|
#> |    U|     116.80342 |    0.4637 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.950 |     2.687 |...........|
#> |    X|     116.80342 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.256 |     1.950 |     2.687 |...........|
#> |   91|     116.80343 |   -0.9763 |   -0.6136 |     1.010 |   -0.8431 |
#> |.....................|   -0.4323 |   0.04888 |    0.4002 |...........|
#> |    U|     116.80343 |    0.4637 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.950 |     2.687 |...........|
#> |    X|     116.80343 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.256 |     1.950 |     2.687 |...........|
#> |   92|     116.80344 |   -0.9763 |   -0.6137 |     1.010 |   -0.8430 |
#> |.....................|   -0.4323 |   0.04900 |    0.4002 |...........|
#> |    U|     116.80344 |    0.4637 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.951 |     2.687 |...........|
#> |    X|     116.80344 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.256 |     1.951 |     2.687 |...........|
#> |   93|     116.80342 |   -0.9763 |   -0.6136 |     1.010 |   -0.8432 |
#> |.....................|   -0.4323 |   0.04896 |    0.4002 |...........|
#> |    U|     116.80342 |    0.4637 |     1.012 |     3.460 |    0.6944 |
#> |.....................|     1.256 |     1.950 |     2.687 |...........|
#> |    X|     116.80342 |     1.590 |     2.751 |     31.81 |    0.6944 |
#> |.....................|     1.256 |     1.950 |     2.687 |...........|
#> |   94|     116.80391 |   -0.9763 |   -0.6136 |     1.010 |   -0.8431 |
#> |.....................|   -0.4323 |   0.04899 |    0.4002 |...........|
#> |    U|     116.80391 |    0.4637 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.951 |     2.687 |...........|
#> |    X|     116.80391 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.256 |     1.951 |     2.687 |...........|
#> |   95|     116.80314 |   -0.9763 |   -0.6136 |     1.010 |   -0.8431 |
#> |.....................|   -0.4323 |   0.04897 |    0.4002 |...........|
#> |    U|     116.80314 |    0.4637 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.950 |     2.687 |...........|
#> |    X|     116.80314 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.256 |     1.950 |     2.687 |...........|
#> 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 covariance; see $scaleInfo

## You may also make an arbitrary optimizer work by adding a wrapper function:

newuoa0 <- function(par, fn, gr, lower = -Inf, upper = Inf, control = list(), ...){
  ## The function requires par, fn, gr, lower, upper and control
  ##
  ## The par, fn, gr, lower and upper and sent to the function from nlmixr's focei.
  ## The  control is the foceiControl list
  ##
  ##  The following code modifies the list control list for no warnings.
  .ctl <- control;
  if (is.null(.ctl$npt)) .ctl$npt <- length(par) * 2 + 1
  ## nlmixr will print information this is to suppress the printing from the
  ## optimizer
  .ctl$iprint <- 0L;
  .ctl <- .ctl[names(.ctl) %in% c("npt", "rhobeg", "rhoend", "iprint", "maxfun")];
  ## This does not require gradient and is an unbounded optimization:
  .ret <- minqa::newuoa(par, fn, control=.ctl);
  ## The return statement must be a list with:
  ##    - x for the final parameter message
  ##    - message for a minimization message
  ##    - convergence for a convergence code
  .ret$x <- .ret$par;
  .ret$message <- .ret$msg;
  .ret$convergence <- .ret$ierr
  ## you can access the final list from the optimization by fit$optReturn
  return(.ret);
}

fit <- nlmixr(one.cmt, theo_sd, "focei", foceiControl(outerOpt=newuoa0))
#>  parameter labels from comments will be replaced by 'label()'
#> 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 |       tka |       tcl |        tv |   add.err |
#> |.....................|        o1 |        o2 |        o3 |...........|
#> |    1|     133.58639 |    -1.000 |   -0.6324 |     1.000 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.3946 |   -0.1108 |...........|
#> |    U|     133.58639 |    0.4400 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    X|     133.58639 |     1.553 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    2|     133.58639 |    -1.000 |   -0.6324 |     1.000 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.3946 |   -0.1108 |...........|
#> |    U|     133.58639 |    0.4400 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    X|     133.58639 |     1.553 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    3|     134.07361 |   -0.8000 |   -0.6324 |     1.000 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.3946 |   -0.1108 |...........|
#> |    U|     134.07361 |    0.6400 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    X|     134.07361 |     1.896 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    4|     134.78512 |    -1.000 |   -0.4324 |     1.000 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.3946 |   -0.1108 |...........|
#> |    U|     134.78512 |    0.4400 |     1.193 |     3.450 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    X|     134.78512 |     1.553 |     3.298 |     31.50 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    5|     137.47499 |    -1.000 |   -0.6324 |     1.200 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.3946 |   -0.1108 |...........|
#> |    U|     137.47499 |    0.4400 |    0.9933 |     3.650 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    X|     137.47499 |     1.553 |     2.700 |     38.47 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    6|     135.53466 |    -1.000 |   -0.6324 |     1.000 |   -0.6272 |
#> |.....................|   -0.5374 |   -0.3946 |   -0.1108 |...........|
#> |    U|     135.53466 |    0.4400 |    0.9933 |     3.450 |    0.7700 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    X|     135.53466 |     1.553 |     2.700 |     31.50 |    0.7700 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    7|     133.69855 |    -1.000 |   -0.6324 |     1.000 |   -0.8272 |
#> |.....................|   -0.3374 |   -0.3946 |   -0.1108 |...........|
#> |    U|     133.69855 |    0.4400 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.363 |     1.351 |     1.778 |...........|
#> |    X|     133.69855 |     1.553 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.363 |     1.351 |     1.778 |...........|
#> |    8|     128.07696 |    -1.000 |   -0.6324 |     1.000 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.1946 |   -0.1108 |...........|
#> |    U|     128.07696 |    0.4400 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.136 |     1.621 |     1.778 |...........|
#> |    X|     128.07696 |     1.553 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.136 |     1.621 |     1.778 |...........|
#> |    9|     128.14520 |    -1.000 |   -0.6324 |     1.000 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.3946 |   0.08922 |...........|
#> |    U|      128.1452 |    0.4400 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     2.134 |...........|
#> |    X|      128.1452 |     1.553 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     2.134 |...........|
#> |   10|     134.59979 |    -1.200 |   -0.6324 |     1.000 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.3946 |   -0.1108 |...........|
#> |    U|     134.59979 |    0.2400 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    X|     134.59979 |     1.271 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |   11|     135.43950 |    -1.000 |   -0.8324 |     1.000 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.3946 |   -0.1108 |...........|
#> |    U|      135.4395 |    0.4400 |    0.7933 |     3.450 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    X|      135.4395 |     1.553 |     2.211 |     31.50 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |   12|     138.67902 |    -1.000 |   -0.6324 |    0.8000 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.3946 |   -0.1108 |...........|
#> |    U|     138.67902 |    0.4400 |    0.9933 |     3.250 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    X|     138.67902 |     1.553 |     2.700 |     25.79 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |   13|     135.58963 |    -1.000 |   -0.6324 |     1.000 |    -1.027 |
#> |.....................|   -0.5374 |   -0.3946 |   -0.1108 |...........|
#> |    U|     135.58963 |    0.4400 |    0.9933 |     3.450 |    0.6300 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    X|     135.58963 |     1.553 |     2.700 |     31.50 |    0.6300 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |   14|     138.56769 |    -1.000 |   -0.6324 |     1.000 |   -0.8272 |
#> |.....................|   -0.7374 |   -0.3946 |   -0.1108 |...........|
#> |    U|     138.56769 |    0.4400 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|    0.9090 |     1.351 |     1.778 |...........|
#> |    X|     138.56769 |     1.553 |     2.700 |     31.50 |    0.7000 |
#> |.....................|    0.9090 |     1.351 |     1.778 |...........|
#> |   15|     142.37620 |    -1.000 |   -0.6324 |     1.000 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.5946 |   -0.1108 |...........|
#> |    U|      142.3762 |    0.4400 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.136 |     1.081 |     1.778 |...........|
#> |    X|      142.3762 |     1.553 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.136 |     1.081 |     1.778 |...........|
#> |   16|     142.26587 |    -1.000 |   -0.6324 |     1.000 |   -0.8272 |
#> |.....................|   -0.5374 |   -0.3946 |   -0.3108 |...........|
#> |    U|     142.26587 |    0.4400 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.423 |...........|
#> |    X|     142.26587 |     1.553 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.423 |...........|
#> |   17|     121.40007 |   -0.9938 |   -0.6246 |     1.014 |   -0.8266 |
#> |.....................|   -0.4797 |   -0.1029 |   0.05647 |...........|
#> |    U|     121.40007 |    0.4462 |     1.001 |     3.464 |    0.7002 |
#> |.....................|     1.202 |     1.745 |     2.076 |...........|
#> |    X|     121.40007 |     1.562 |     2.721 |     31.95 |    0.7002 |
#> |.....................|     1.202 |     1.745 |     2.076 |...........|
#> |   18|     117.00301 |   -0.9762 |   -0.6116 |     1.014 |   -0.8258 |
#> |.....................|   -0.4438 |   0.03709 |    0.3197 |...........|
#> |    U|     117.00301 |    0.4638 |     1.014 |     3.464 |    0.7005 |
#> |.....................|     1.243 |     1.934 |     2.544 |...........|
#> |    X|     117.00301 |     1.590 |     2.757 |     31.96 |    0.7005 |
#> |.....................|     1.243 |     1.934 |     2.544 |...........|
#> |   19|     117.97899 |   -0.9819 |   -0.6163 |     1.013 |   -0.8261 |
#> |.....................|   -0.4614 |    0.2268 |    0.2593 |...........|
#> |    U|     117.97899 |    0.4581 |     1.009 |     3.463 |    0.7004 |
#> |.....................|     1.223 |     2.191 |     2.436 |...........|
#> |    X|     117.97899 |     1.581 |     2.744 |     31.90 |    0.7004 |
#> |.....................|     1.223 |     2.191 |     2.436 |...........|
#> |   20|     119.20639 |   -0.9803 |   -0.6106 |     1.033 |   -0.8255 |
#> |.....................|   -0.2474 |   0.06878 |    0.3121 |...........|
#> |    U|     119.20639 |    0.4597 |     1.015 |     3.483 |    0.7006 |
#> |.....................|     1.466 |     1.977 |     2.530 |...........|
#> |    X|     119.20639 |     1.584 |     2.760 |     32.55 |    0.7006 |
#> |.....................|     1.466 |     1.977 |     2.530 |...........|
#> |   21|     118.15782 |    -1.176 |   -0.6114 |     1.022 |   -0.8257 |
#> |.....................|   -0.4424 |   0.04761 |    0.3201 |...........|
#> |    U|     118.15782 |    0.2643 |     1.014 |     3.472 |    0.7005 |
#> |.....................|     1.244 |     1.949 |     2.545 |...........|
#> |    X|     118.15782 |     1.302 |     2.757 |     32.21 |    0.7005 |
#> |.....................|     1.244 |     1.949 |     2.545 |...........|
#> |   22|     122.51031 |   -0.9776 |   -0.8110 |     1.024 |   -0.8257 |
#> |.....................|   -0.4397 |   0.04890 |    0.3170 |...........|
#> |    U|     122.51031 |    0.4624 |    0.8147 |     3.474 |    0.7005 |
#> |.....................|     1.247 |     1.950 |     2.539 |...........|
#> |    X|     122.51031 |     1.588 |     2.258 |     32.26 |    0.7005 |
#> |.....................|     1.247 |     1.950 |     2.539 |...........|
#> |   23|     122.50248 |   -0.9470 |   -0.4308 |     1.005 |   -0.8261 |
#> |.....................|   -0.4292 |    0.1018 |    0.3639 |...........|
#> |    U|     122.50248 |    0.4930 |     1.195 |     3.455 |    0.7004 |
#> |.....................|     1.259 |     2.022 |     2.622 |...........|
#> |    X|     122.50248 |     1.637 |     3.303 |     31.67 |    0.7004 |
#> |.....................|     1.259 |     2.022 |     2.622 |...........|
#> |   24|     132.61810 |   -0.9821 |   -0.6217 |    0.8159 |   -0.8259 |
#> |.....................|   -0.4393 |   0.04882 |    0.3361 |...........|
#> |    U|      132.6181 |    0.4579 |     1.004 |     3.266 |    0.7005 |
#> |.....................|     1.248 |     1.950 |     2.573 |...........|
#> |    X|      132.6181 |     1.581 |     2.729 |     26.20 |    0.7005 |
#> |.....................|     1.248 |     1.950 |     2.573 |...........|
#> |   25|     131.84882 |   -0.9594 |   -0.6096 |     1.190 |   -0.8230 |
#> |.....................|   -0.4573 |    0.1057 |    0.3837 |...........|
#> |    U|     131.84882 |    0.4806 |     1.016 |     3.640 |    0.7015 |
#> |.....................|     1.227 |     2.027 |     2.658 |...........|
#> |    X|     131.84882 |     1.617 |     2.762 |     38.08 |    0.7015 |
#> |.....................|     1.227 |     2.027 |     2.658 |...........|
#> |   26|     118.90855 |   -0.9762 |   -0.6119 |     1.016 |    -1.026 |
#> |.....................|   -0.4437 |   0.03728 |    0.3206 |...........|
#> |    U|     118.90855 |    0.4638 |     1.014 |     3.466 |    0.6305 |
#> |.....................|     1.243 |     1.935 |     2.545 |...........|
#> |    X|     118.90855 |     1.590 |     2.756 |     32.00 |    0.6305 |
#> |.....................|     1.243 |     1.935 |     2.545 |...........|
#> |   27|     119.49288 |   -0.9125 |   -0.5652 |     1.041 |   -0.7942 |
#> |.....................|   -0.3778 |   -0.1089 |    0.2398 |...........|
#> |    U|     119.49288 |    0.5275 |     1.060 |     3.491 |    0.7116 |
#> |.....................|     1.318 |     1.737 |     2.402 |...........|
#> |    X|     119.49288 |     1.695 |     2.888 |     32.83 |    0.7116 |
#> |.....................|     1.318 |     1.737 |     2.402 |...........|
#> |   28|     119.58825 |   -0.9609 |   -0.7320 |     1.008 |   -0.8260 |
#> |.....................|   -0.4101 |    0.1353 |    0.4400 |...........|
#> |    U|     119.58825 |    0.4791 |    0.8936 |     3.458 |    0.7004 |
#> |.....................|     1.281 |     2.067 |     2.758 |...........|
#> |    X|     119.58825 |     1.615 |     2.444 |     31.75 |    0.7004 |
#> |.....................|     1.281 |     2.067 |     2.758 |...........|
#> |   29|     118.85593 |   -0.8264 |   -0.6531 |    0.9943 |   -0.8370 |
#> |.....................|   -0.5008 |  -0.02990 |    0.2326 |...........|
#> |    U|     118.85593 |    0.6136 |    0.9725 |     3.444 |    0.6966 |
#> |.....................|     1.178 |     1.844 |     2.389 |...........|
#> |    X|     118.85593 |     1.847 |     2.645 |     31.32 |    0.6966 |
#> |.....................|     1.178 |     1.844 |     2.389 |...........|
#> |   30|     122.37222 |   -0.9681 |   -0.5015 |     1.088 |   -0.7881 |
#> |.....................|   -0.5412 |  -0.03281 |    0.2382 |...........|
#> |    U|     122.37222 |    0.4719 |     1.124 |     3.538 |    0.7137 |
#> |.....................|     1.132 |     1.840 |     2.399 |...........|
#> |    X|     122.37222 |     1.603 |     3.077 |     34.39 |    0.7137 |
#> |.....................|     1.132 |     1.840 |     2.399 |...........|
#> |   31|     118.95207 |    -1.002 |   -0.6469 |    0.9969 |   -0.8366 |
#> |.....................|   -0.5211 |   -0.1406 |    0.3316 |...........|
#> |    U|     118.95207 |    0.4385 |    0.9788 |     3.447 |    0.6967 |
#> |.....................|     1.155 |     1.694 |     2.565 |...........|
#> |    X|     118.95207 |     1.550 |     2.661 |     31.40 |    0.6967 |
#> |.....................|     1.155 |     1.694 |     2.565 |...........|
#> |   32|     117.03066 |    -1.026 |   -0.6111 |     1.008 |   -0.8311 |
#> |.....................|   -0.4250 |    0.1083 |    0.3490 |...........|
#> |    U|     117.03066 |    0.4137 |     1.015 |     3.458 |    0.6987 |
#> |.....................|     1.264 |     2.031 |     2.596 |...........|
#> |    X|     117.03066 |     1.512 |     2.758 |     31.74 |    0.6987 |
#> |.....................|     1.264 |     2.031 |     2.596 |...........|
#> |   33|     117.00311 |   -0.9687 |   -0.5963 |     1.011 |   -0.8262 |
#> |.....................|   -0.4423 |   0.03819 |    0.3296 |...........|
#> |    U|     117.00311 |    0.4713 |     1.029 |     3.461 |    0.7004 |
#> |.....................|     1.244 |     1.936 |     2.561 |...........|
#> |    X|     117.00311 |     1.602 |     2.799 |     31.86 |    0.7004 |
#> |.....................|     1.244 |     1.936 |     2.561 |...........|
#> |   34|     116.89584 |   -0.9773 |   -0.6079 |     1.007 |   -0.8367 |
#> |.....................|   -0.4402 |   0.07412 |    0.3451 |...........|
#> |    U|     116.89584 |    0.4627 |     1.018 |     3.457 |    0.6967 |
#> |.....................|     1.247 |     1.984 |     2.589 |...........|
#> |    X|     116.89584 |     1.588 |     2.767 |     31.72 |    0.6967 |
#> |.....................|     1.247 |     1.984 |     2.589 |...........|
#> |   35|     116.94851 |   -0.9604 |   -0.6080 |     1.004 |   -0.8377 |
#> |.....................|   -0.4485 |   0.09295 |    0.3471 |...........|
#> |    U|     116.94851 |    0.4796 |     1.018 |     3.454 |    0.6964 |
#> |.....................|     1.237 |     2.010 |     2.593 |...........|
#> |    X|     116.94851 |     1.615 |     2.767 |     31.63 |    0.6964 |
#> |.....................|     1.237 |     2.010 |     2.593 |...........|
#> |   36|     116.88213 |   -0.9804 |   -0.6105 |     1.006 |   -0.8385 |
#> |.....................|   -0.4527 |   0.06685 |    0.3582 |...........|
#> |    U|     116.88213 |    0.4596 |     1.015 |     3.456 |    0.6961 |
#> |.....................|     1.232 |     1.975 |     2.612 |...........|
#> |    X|     116.88213 |     1.583 |     2.760 |     31.68 |    0.6961 |
#> |.....................|     1.232 |     1.975 |     2.612 |...........|
#> |   37|     116.86150 |   -0.9920 |   -0.6068 |     1.009 |   -0.8460 |
#> |.....................|   -0.4442 |   0.05638 |    0.3600 |...........|
#> |    U|      116.8615 |    0.4480 |     1.019 |     3.459 |    0.6934 |
#> |.....................|     1.242 |     1.960 |     2.615 |...........|
#> |    X|      116.8615 |     1.565 |     2.770 |     31.78 |    0.6934 |
#> |.....................|     1.242 |     1.960 |     2.615 |...........|
#> |   38|     116.88138 |    -1.007 |   -0.6055 |     1.010 |   -0.8395 |
#> |.....................|   -0.4416 |   0.04492 |    0.3619 |...........|
#> |    U|     116.88138 |    0.4335 |     1.020 |     3.460 |    0.6957 |
#> |.....................|     1.245 |     1.945 |     2.619 |...........|
#> |    X|     116.88138 |     1.543 |     2.774 |     31.83 |    0.6957 |
#> |.....................|     1.245 |     1.945 |     2.619 |...........|
#> |   39|     116.87044 |   -0.9870 |   -0.6252 |     1.011 |   -0.8440 |
#> |.....................|   -0.4417 |   0.05188 |    0.3584 |...........|
#> |    U|     116.87044 |    0.4530 |     1.000 |     3.461 |    0.6941 |
#> |.....................|     1.245 |     1.954 |     2.613 |...........|
#> |    X|     116.87044 |     1.573 |     2.719 |     31.84 |    0.6941 |
#> |.....................|     1.245 |     1.954 |     2.613 |...........|
#> |   40|     116.84641 |   -0.9809 |   -0.6139 |     1.009 |   -0.8525 |
#> |.....................|   -0.4368 |   0.04499 |    0.3611 |...........|
#> |    U|     116.84641 |    0.4591 |     1.012 |     3.459 |    0.6912 |
#> |.....................|     1.251 |     1.945 |     2.617 |...........|
#> |    X|     116.84641 |     1.583 |     2.751 |     31.79 |    0.6912 |
#> |.....................|     1.251 |     1.945 |     2.617 |...........|
#> |   41|     116.86758 |   -0.9818 |   -0.6136 |     1.012 |   -0.8503 |
#> |.....................|   -0.4180 |   0.04838 |    0.3567 |...........|
#> |    U|     116.86758 |    0.4582 |     1.012 |     3.462 |    0.6919 |
#> |.....................|     1.272 |     1.950 |     2.610 |...........|
#> |    X|     116.86758 |     1.581 |     2.751 |     31.89 |    0.6919 |
#> |.....................|     1.272 |     1.950 |     2.610 |...........|
#> |   42|     117.03264 |   -0.9843 |   -0.6160 |    0.9903 |   -0.8543 |
#> |.....................|   -0.4353 |   0.04478 |    0.3568 |...........|
#> |    U|     117.03264 |    0.4557 |     1.010 |     3.440 |    0.6905 |
#> |.....................|     1.252 |     1.945 |     2.610 |...........|
#> |    X|     117.03264 |     1.577 |     2.744 |     31.20 |    0.6905 |
#> |.....................|     1.252 |     1.945 |     2.610 |...........|
#> |   43|     116.97821 |   -0.9779 |   -0.6125 |     1.028 |   -0.8494 |
#> |.....................|   -0.4387 |   0.04871 |    0.3643 |...........|
#> |    U|     116.97821 |    0.4621 |     1.013 |     3.478 |    0.6923 |
#> |.....................|     1.248 |     1.950 |     2.623 |...........|
#> |    X|     116.97821 |     1.587 |     2.754 |     32.40 |    0.6923 |
#> |.....................|     1.248 |     1.950 |     2.623 |...........|
#> |   44|     116.89508 |   -0.9822 |   -0.6144 |     1.012 |   -0.8707 |
#> |.....................|   -0.4385 |   0.04515 |    0.3536 |...........|
#> |    U|     116.89508 |    0.4578 |     1.011 |     3.462 |    0.6848 |
#> |.....................|     1.249 |     1.945 |     2.604 |...........|
#> |    X|     116.89508 |     1.581 |     2.749 |     31.87 |    0.6848 |
#> |.....................|     1.249 |     1.945 |     2.604 |...........|
#> |   45|     116.83559 |   -0.9760 |   -0.6223 |     1.008 |   -0.8515 |
#> |.....................|   -0.4320 |   0.05378 |    0.3753 |...........|
#> |    U|     116.83559 |    0.4640 |     1.003 |     3.458 |    0.6915 |
#> |.....................|     1.256 |     1.957 |     2.643 |...........|
#> |    X|     116.83559 |     1.590 |     2.727 |     31.74 |    0.6915 |
#> |.....................|     1.256 |     1.957 |     2.643 |...........|
#> |   46|     116.84603 |   -0.9925 |   -0.6213 |     1.008 |   -0.8500 |
#> |.....................|   -0.4312 |   0.06459 |    0.3726 |...........|
#> |    U|     116.84603 |    0.4475 |     1.004 |     3.458 |    0.6921 |
#> |.....................|     1.257 |     1.972 |     2.638 |...........|
#> |    X|     116.84603 |     1.564 |     2.730 |     31.75 |    0.6921 |
#> |.....................|     1.257 |     1.972 |     2.638 |...........|
#> |   47|     116.81726 |   -0.9801 |   -0.6157 |     1.008 |   -0.8500 |
#> |.....................|   -0.4354 |   0.05206 |    0.3803 |...........|
#> |    U|     116.81726 |    0.4599 |     1.010 |     3.458 |    0.6920 |
#> |.....................|     1.252 |     1.955 |     2.652 |...........|
#> |    X|     116.81726 |     1.584 |     2.745 |     31.76 |    0.6920 |
#> |.....................|     1.252 |     1.955 |     2.652 |...........|
#> |   48|     116.81240 |   -0.9859 |   -0.6145 |     1.008 |   -0.8502 |
#> |.....................|   -0.4381 |   0.04621 |    0.3983 |...........|
#> |    U|      116.8124 |    0.4541 |     1.011 |     3.458 |    0.6920 |
#> |.....................|     1.249 |     1.947 |     2.683 |...........|
#> |    X|      116.8124 |     1.575 |     2.749 |     31.75 |    0.6920 |
#> |.....................|     1.249 |     1.947 |     2.683 |...........|
#> |   49|     116.82613 |   -0.9831 |   -0.6167 |     1.006 |   -0.8539 |
#> |.....................|   -0.4325 |   0.05876 |    0.4117 |...........|
#> |    U|     116.82613 |    0.4569 |     1.009 |     3.456 |    0.6907 |
#> |.....................|     1.255 |     1.964 |     2.707 |...........|
#> |    X|     116.82613 |     1.579 |     2.743 |     31.69 |    0.6907 |
#> |.....................|     1.255 |     1.964 |     2.707 |...........|
#> |   50|     116.83090 |   -0.9931 |   -0.6075 |     1.009 |   -0.8546 |
#> |.....................|   -0.4356 |   0.03221 |    0.4071 |...........|
#> |    U|      116.8309 |    0.4469 |     1.018 |     3.459 |    0.6904 |
#> |.....................|     1.252 |     1.928 |     2.699 |...........|
#> |    X|      116.8309 |     1.564 |     2.768 |     31.79 |    0.6904 |
#> |.....................|     1.252 |     1.928 |     2.699 |...........|
#> |   51|     116.84654 |   -0.9837 |   -0.6138 |     1.011 |   -0.8677 |
#> |.....................|   -0.4460 |   0.04931 |    0.3962 |...........|
#> |    U|     116.84654 |    0.4563 |     1.012 |     3.461 |    0.6858 |
#> |.....................|     1.240 |     1.951 |     2.680 |...........|
#> |    X|     116.84654 |     1.578 |     2.751 |     31.85 |    0.6858 |
#> |.....................|     1.240 |     1.951 |     2.680 |...........|
#> |   52|     116.84884 |   -0.9870 |   -0.6155 |     1.004 |   -0.8399 |
#> |.....................|   -0.4526 |   0.05292 |    0.4029 |...........|
#> |    U|     116.84884 |    0.4530 |     1.010 |     3.454 |    0.6956 |
#> |.....................|     1.233 |     1.956 |     2.692 |...........|
#> |    X|     116.84884 |     1.573 |     2.746 |     31.63 |    0.6956 |
#> |.....................|     1.233 |     1.956 |     2.692 |...........|
#> |   53|     116.81983 |   -0.9806 |   -0.6085 |     1.012 |   -0.8462 |
#> |.....................|   -0.4214 |   0.04483 |    0.3933 |...........|
#> |    U|     116.81983 |    0.4594 |     1.017 |     3.462 |    0.6934 |
#> |.....................|     1.268 |     1.945 |     2.675 |...........|
#> |    X|     116.81983 |     1.583 |     2.765 |     31.87 |    0.6934 |
#> |.....................|     1.268 |     1.945 |     2.675 |...........|
#> |   54|     116.80742 |   -0.9818 |   -0.6121 |     1.008 |   -0.8461 |
#> |.....................|   -0.4307 |   0.04842 |    0.3961 |...........|
#> |    U|     116.80742 |    0.4582 |     1.014 |     3.458 |    0.6934 |
#> |.....................|     1.257 |     1.950 |     2.680 |...........|
#> |    X|     116.80742 |     1.581 |     2.755 |     31.74 |    0.6934 |
#> |.....................|     1.257 |     1.950 |     2.680 |...........|
#> |   55|     116.83473 |   -0.9946 |   -0.6112 |     1.004 |   -0.8424 |
#> |.....................|   -0.4316 |   0.04859 |    0.3816 |...........|
#> |    U|     116.83473 |    0.4454 |     1.014 |     3.454 |    0.6947 |
#> |.....................|     1.256 |     1.950 |     2.654 |...........|
#> |    X|     116.83473 |     1.561 |     2.758 |     31.64 |    0.6947 |
#> |.....................|     1.256 |     1.950 |     2.654 |...........|
#> |   56|     116.98088 |   -0.9794 |   -0.6091 |    0.9906 |   -0.8511 |
#> |.....................|   -0.4301 |   0.04157 |    0.3914 |...........|
#> |    U|     116.98088 |    0.4606 |     1.017 |     3.441 |    0.6917 |
#> |.....................|     1.258 |     1.940 |     2.671 |...........|
#> |    X|     116.98088 |     1.585 |     2.764 |     31.21 |    0.6917 |
#> |.....................|     1.258 |     1.940 |     2.671 |...........|
#> |   57|     116.83011 |   -0.9822 |   -0.6215 |     1.008 |   -0.8360 |
#> |.....................|   -0.4374 |   0.04153 |    0.3854 |...........|
#> |    U|     116.83011 |    0.4578 |     1.004 |     3.458 |    0.6969 |
#> |.....................|     1.250 |     1.940 |     2.661 |...........|
#> |    X|     116.83011 |     1.581 |     2.730 |     31.74 |    0.6969 |
#> |.....................|     1.250 |     1.940 |     2.661 |...........|
#> |   58|     116.81303 |   -0.9734 |   -0.6141 |     1.007 |   -0.8446 |
#> |.....................|   -0.4267 |   0.04121 |    0.4120 |...........|
#> |    U|     116.81303 |    0.4666 |     1.012 |     3.457 |    0.6939 |
#> |.....................|     1.262 |     1.940 |     2.708 |...........|
#> |    X|     116.81303 |     1.595 |     2.750 |     31.72 |    0.6939 |
#> |.....................|     1.262 |     1.940 |     2.708 |...........|
#> |   59|     116.80397 |   -0.9798 |   -0.6133 |     1.009 |   -0.8443 |
#> |.....................|   -0.4320 |   0.04797 |    0.4014 |...........|
#> |    U|     116.80397 |    0.4602 |     1.012 |     3.459 |    0.6940 |
#> |.....................|     1.256 |     1.949 |     2.689 |...........|
#> |    X|     116.80397 |     1.584 |     2.752 |     31.79 |    0.6940 |
#> |.....................|     1.256 |     1.949 |     2.689 |...........|
#> |   60|     116.80382 |   -0.9790 |   -0.6134 |     1.009 |   -0.8433 |
#> |.....................|   -0.4326 |   0.04771 |    0.4034 |...........|
#> |    U|     116.80382 |    0.4610 |     1.012 |     3.459 |    0.6944 |
#> |.....................|     1.255 |     1.949 |     2.693 |...........|
#> |    X|     116.80382 |     1.586 |     2.752 |     31.80 |    0.6944 |
#> |.....................|     1.255 |     1.949 |     2.693 |...........|
#> |   61|     116.80407 |   -0.9790 |   -0.6121 |     1.010 |   -0.8434 |
#> |.....................|   -0.4331 |   0.04764 |    0.4032 |...........|
#> |    U|     116.80407 |    0.4610 |     1.014 |     3.460 |    0.6943 |
#> |.....................|     1.255 |     1.949 |     2.692 |...........|
#> |    X|     116.80407 |     1.586 |     2.755 |     31.81 |    0.6943 |
#> |.....................|     1.255 |     1.949 |     2.692 |...........|
#> |   62|     116.80365 |   -0.9779 |   -0.6134 |     1.009 |   -0.8430 |
#> |.....................|   -0.4325 |   0.04836 |    0.4030 |...........|
#> |    U|     116.80365 |    0.4621 |     1.012 |     3.459 |    0.6945 |
#> |.....................|     1.255 |     1.950 |     2.692 |...........|
#> |    X|     116.80365 |     1.587 |     2.752 |     31.80 |    0.6945 |
#> |.....................|     1.255 |     1.950 |     2.692 |...........|
#> |   63|     116.80362 |   -0.9769 |   -0.6134 |     1.009 |   -0.8436 |
#> |.....................|   -0.4329 |   0.04870 |    0.4024 |...........|
#> |    U|     116.80362 |    0.4631 |     1.012 |     3.459 |    0.6943 |
#> |.....................|     1.255 |     1.950 |     2.691 |...........|
#> |    X|     116.80362 |     1.589 |     2.752 |     31.79 |    0.6943 |
#> |.....................|     1.255 |     1.950 |     2.691 |...........|
#> |   64|     116.80381 |   -0.9769 |   -0.6133 |     1.009 |   -0.8429 |
#> |.....................|   -0.4325 |   0.04959 |    0.4018 |...........|
#> |    U|     116.80381 |    0.4631 |     1.012 |     3.459 |    0.6945 |
#> |.....................|     1.255 |     1.951 |     2.690 |...........|
#> |    X|     116.80381 |     1.589 |     2.752 |     31.79 |    0.6945 |
#> |.....................|     1.255 |     1.951 |     2.690 |...........|
#> |   65|     116.80488 |   -0.9767 |   -0.6132 |     1.008 |   -0.8436 |
#> |.....................|   -0.4327 |   0.04826 |    0.4021 |...........|
#> |    U|     116.80488 |    0.4633 |     1.012 |     3.458 |    0.6943 |
#> |.....................|     1.255 |     1.950 |     2.690 |...........|
#> |    X|     116.80488 |     1.589 |     2.752 |     31.75 |    0.6943 |
#> |.....................|     1.255 |     1.950 |     2.690 |...........|
#> |   66|     116.80361 |   -0.9766 |   -0.6138 |     1.010 |   -0.8438 |
#> |.....................|   -0.4325 |   0.04780 |    0.4031 |...........|
#> |    U|     116.80361 |    0.4634 |     1.012 |     3.460 |    0.6942 |
#> |.....................|     1.255 |     1.949 |     2.692 |...........|
#> |    X|     116.80361 |     1.590 |     2.751 |     31.81 |    0.6942 |
#> |.....................|     1.255 |     1.949 |     2.692 |...........|
#> |   67|     116.80373 |   -0.9765 |   -0.6131 |     1.009 |   -0.8442 |
#> |.....................|   -0.4321 |   0.04840 |    0.4039 |...........|
#> |    U|     116.80373 |    0.4635 |     1.013 |     3.459 |    0.6941 |
#> |.....................|     1.256 |     1.950 |     2.694 |...........|
#> |    X|     116.80373 |     1.590 |     2.753 |     31.80 |    0.6941 |
#> |.....................|     1.256 |     1.950 |     2.694 |...........|
#> |   68|     116.80366 |   -0.9773 |   -0.6137 |     1.010 |   -0.8438 |
#> |.....................|   -0.4334 |   0.04866 |    0.4029 |...........|
#> |    U|     116.80366 |    0.4627 |     1.012 |     3.460 |    0.6942 |
#> |.....................|     1.254 |     1.950 |     2.692 |...........|
#> |    X|     116.80366 |     1.588 |     2.751 |     31.81 |    0.6942 |
#> |.....................|     1.254 |     1.950 |     2.692 |...........|
#> |   69|     116.80362 |   -0.9761 |   -0.6137 |     1.010 |   -0.8431 |
#> |.....................|   -0.4325 |   0.04700 |    0.4024 |...........|
#> |    U|     116.80362 |    0.4639 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.255 |     1.948 |     2.691 |...........|
#> |    X|     116.80362 |     1.590 |     2.751 |     31.82 |    0.6945 |
#> |.....................|     1.255 |     1.948 |     2.691 |...........|
#> |   70|     116.80349 |   -0.9766 |   -0.6134 |     1.010 |   -0.8433 |
#> |.....................|   -0.4329 |   0.04803 |    0.4019 |...........|
#> |    U|     116.80349 |    0.4634 |     1.012 |     3.460 |    0.6944 |
#> |.....................|     1.255 |     1.949 |     2.690 |...........|
#> |    X|     116.80349 |     1.589 |     2.752 |     31.81 |    0.6944 |
#> |.....................|     1.255 |     1.949 |     2.690 |...........|
#> |   71|     116.80366 |   -0.9775 |   -0.6134 |     1.010 |   -0.8442 |
#> |.....................|   -0.4335 |   0.04822 |    0.3995 |...........|
#> |    U|     116.80366 |    0.4625 |     1.012 |     3.460 |    0.6941 |
#> |.....................|     1.254 |     1.949 |     2.686 |...........|
#> |    X|     116.80366 |     1.588 |     2.752 |     31.81 |    0.6941 |
#> |.....................|     1.254 |     1.949 |     2.686 |...........|
#> |   72|     116.80353 |   -0.9757 |   -0.6135 |     1.010 |   -0.8424 |
#> |.....................|   -0.4327 |   0.04826 |    0.4025 |...........|
#> |    U|     116.80353 |    0.4643 |     1.012 |     3.460 |    0.6947 |
#> |.....................|     1.255 |     1.950 |     2.691 |...........|
#> |    X|     116.80353 |     1.591 |     2.752 |     31.81 |    0.6947 |
#> |.....................|     1.255 |     1.950 |     2.691 |...........|
#> |   73|     116.80355 |   -0.9761 |   -0.6133 |     1.010 |   -0.8429 |
#> |.....................|   -0.4331 |   0.04803 |    0.4026 |...........|
#> |    U|     116.80355 |    0.4639 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.255 |     1.949 |     2.691 |...........|
#> |    X|     116.80355 |     1.590 |     2.752 |     31.81 |    0.6945 |
#> |.....................|     1.255 |     1.949 |     2.691 |...........|
#> |   74|     116.80357 |   -0.9778 |   -0.6131 |     1.010 |   -0.8438 |
#> |.....................|   -0.4324 |   0.04798 |    0.4018 |...........|
#> |    U|     116.80357 |    0.4622 |     1.013 |     3.460 |    0.6942 |
#> |.....................|     1.256 |     1.949 |     2.690 |...........|
#> |    X|     116.80357 |     1.588 |     2.752 |     31.81 |    0.6942 |
#> |.....................|     1.256 |     1.949 |     2.690 |...........|
#> |   75|     116.80378 |   -0.9773 |   -0.6123 |     1.010 |   -0.8433 |
#> |.....................|   -0.4333 |   0.04790 |    0.4022 |...........|
#> |    U|     116.80378 |    0.4627 |     1.013 |     3.460 |    0.6944 |
#> |.....................|     1.254 |     1.949 |     2.690 |...........|
#> |    X|     116.80378 |     1.588 |     2.755 |     31.81 |    0.6944 |
#> |.....................|     1.254 |     1.949 |     2.690 |...........|
#> |   76|     116.80346 |   -0.9764 |   -0.6136 |     1.010 |   -0.8430 |
#> |.....................|   -0.4325 |   0.04799 |    0.4017 |...........|
#> |    U|     116.80346 |    0.4636 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.255 |     1.949 |     2.690 |...........|
#> |    X|     116.80346 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.255 |     1.949 |     2.690 |...........|
#> |   77|     116.80342 |   -0.9764 |   -0.6136 |     1.010 |   -0.8430 |
#> |.....................|   -0.4324 |   0.04798 |    0.4016 |...........|
#> |    U|     116.80342 |    0.4636 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.255 |     1.949 |     2.689 |...........|
#> |    X|     116.80342 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.255 |     1.949 |     2.689 |...........|
#> |   78|     116.80345 |   -0.9759 |   -0.6134 |     1.010 |   -0.8433 |
#> |.....................|   -0.4323 |   0.04795 |    0.4014 |...........|
#> |    U|     116.80345 |    0.4641 |     1.012 |     3.460 |    0.6944 |
#> |.....................|     1.256 |     1.949 |     2.689 |...........|
#> |    X|     116.80345 |     1.591 |     2.752 |     31.81 |    0.6944 |
#> |.....................|     1.256 |     1.949 |     2.689 |...........|
#> |   79|     116.80346 |   -0.9765 |   -0.6137 |     1.010 |   -0.8431 |
#> |.....................|   -0.4325 |   0.04802 |    0.4015 |...........|
#> |    U|     116.80346 |    0.4635 |     1.012 |     3.460 |    0.6944 |
#> |.....................|     1.255 |     1.949 |     2.689 |...........|
#> |    X|     116.80346 |     1.590 |     2.751 |     31.81 |    0.6944 |
#> |.....................|     1.255 |     1.949 |     2.689 |...........|
#> |   80|     116.80358 |   -0.9764 |   -0.6137 |     1.010 |   -0.8429 |
#> |.....................|   -0.4323 |   0.04785 |    0.4014 |...........|
#> |    U|     116.80358 |    0.4636 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.949 |     2.689 |...........|
#> |    X|     116.80358 |     1.590 |     2.751 |     31.80 |    0.6945 |
#> |.....................|     1.256 |     1.949 |     2.689 |...........|
#> |   81|     116.80347 |   -0.9764 |   -0.6137 |     1.010 |   -0.8430 |
#> |.....................|   -0.4324 |   0.04797 |    0.4016 |...........|
#> |    U|     116.80347 |    0.4636 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.255 |     1.949 |     2.689 |...........|
#> |    X|     116.80347 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.255 |     1.949 |     2.689 |...........|
#> |   82|     116.80348 |   -0.9764 |   -0.6136 |     1.010 |   -0.8431 |
#> |.....................|   -0.4323 |   0.04802 |    0.4016 |...........|
#> |    U|     116.80348 |    0.4636 |     1.012 |     3.460 |    0.6944 |
#> |.....................|     1.256 |     1.949 |     2.689 |...........|
#> |    X|     116.80348 |     1.590 |     2.751 |     31.81 |    0.6944 |
#> |.....................|     1.256 |     1.949 |     2.689 |...........|
#> |   83|     116.80346 |   -0.9764 |   -0.6137 |     1.010 |   -0.8431 |
#> |.....................|   -0.4324 |   0.04799 |    0.4016 |...........|
#> |    U|     116.80346 |    0.4636 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.255 |     1.949 |     2.689 |...........|
#> |    X|     116.80346 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.255 |     1.949 |     2.689 |...........|
#> |   84|     116.80362 |   -0.9763 |   -0.6136 |     1.010 |   -0.8430 |
#> |.....................|   -0.4324 |   0.04803 |    0.4016 |...........|
#> |    U|     116.80362 |    0.4637 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.255 |     1.949 |     2.689 |...........|
#> |    X|     116.80362 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.255 |     1.949 |     2.689 |...........|
#> |   85|     116.80346 |   -0.9764 |   -0.6136 |     1.010 |   -0.8430 |
#> |.....................|   -0.4324 |   0.04806 |    0.4016 |...........|
#> |    U|     116.80346 |    0.4636 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.949 |     2.689 |...........|
#> |    X|     116.80346 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.256 |     1.949 |     2.689 |...........|
#> |   86|     116.80347 |   -0.9765 |   -0.6136 |     1.010 |   -0.8431 |
#> |.....................|   -0.4324 |   0.04791 |    0.4016 |...........|
#> |    U|     116.80347 |    0.4635 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.949 |     2.689 |...........|
#> |    X|     116.80347 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.256 |     1.949 |     2.689 |...........|
#> |   87|     116.80345 |   -0.9765 |   -0.6136 |     1.010 |   -0.8431 |
#> |.....................|   -0.4324 |   0.04798 |    0.4016 |...........|
#> |    U|     116.80345 |    0.4635 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.255 |     1.949 |     2.689 |...........|
#> |    X|     116.80345 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.255 |     1.949 |     2.689 |...........|
#> |   88|     116.80341 |   -0.9763 |   -0.6136 |     1.010 |   -0.8430 |
#> |.....................|   -0.4324 |   0.04792 |    0.4016 |...........|
#> |    U|     116.80341 |    0.4637 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.949 |     2.689 |...........|
#> |    X|     116.80341 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.256 |     1.949 |     2.689 |...........|
#> |   89|     116.80347 |   -0.9763 |   -0.6136 |     1.010 |   -0.8431 |
#> |.....................|   -0.4324 |   0.04786 |    0.4017 |...........|
#> |    U|     116.80347 |    0.4637 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.255 |     1.949 |     2.690 |...........|
#> |    X|     116.80347 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.255 |     1.949 |     2.690 |...........|
#> |   90|     116.80347 |   -0.9763 |   -0.6136 |     1.010 |   -0.8431 |
#> |.....................|   -0.4324 |   0.04793 |    0.4015 |...........|
#> |    U|     116.80347 |    0.4637 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.949 |     2.689 |...........|
#> |    X|     116.80347 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.256 |     1.949 |     2.689 |...........|
#> |   91|     116.80346 |   -0.9763 |   -0.6136 |     1.010 |   -0.8431 |
#> |.....................|   -0.4324 |   0.04792 |    0.4016 |...........|
#> |    U|     116.80346 |    0.4637 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.949 |     2.689 |...........|
#> |    X|     116.80346 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.256 |     1.949 |     2.689 |...........|
#> |   92|     116.80347 |   -0.9763 |   -0.6137 |     1.010 |   -0.8430 |
#> |.....................|   -0.4324 |   0.04792 |    0.4017 |...........|
#> |    U|     116.80347 |    0.4637 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.949 |     2.690 |...........|
#> |    X|     116.80347 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.256 |     1.949 |     2.690 |...........|
#> |   93|     116.80347 |   -0.9763 |   -0.6137 |     1.010 |   -0.8430 |
#> |.....................|   -0.4324 |   0.04789 |    0.4016 |...........|
#> |    U|     116.80347 |    0.4637 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.949 |     2.689 |...........|
#> |    X|     116.80347 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.256 |     1.949 |     2.689 |...........|
#> |   94|     116.80382 |   -0.9763 |   -0.6137 |     1.010 |   -0.8430 |
#> |.....................|   -0.4323 |   0.04791 |    0.4016 |...........|
#> |    U|     116.80382 |    0.4637 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.949 |     2.690 |...........|
#> |    X|     116.80382 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.256 |     1.949 |     2.690 |...........|
#> |   95|     116.80345 |   -0.9763 |   -0.6136 |     1.010 |   -0.8430 |
#> |.....................|   -0.4324 |   0.04792 |    0.4016 |...........|
#> |    U|     116.80345 |    0.4637 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.256 |     1.949 |     2.689 |...........|
#> |    X|     116.80345 |     1.590 |     2.751 |     31.81 |    0.6945 |
#> |.....................|     1.256 |     1.949 |     2.689 |...........|
#> 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 covariance; see $scaleInfo

# }