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The 'dlmtree' function accommodates various response variable types, including continuous, binary, and zero-inflated count values. The function is designed to handle both single exposure and exposure mixtures. For a single exposure, users are offered options to model non-linear effects (tdlnm), linear effects (tdlm), or heterogeneous subgroup/individualized effects (hdlm). In the case of exposure mixtures, the function supports lagged interactions (tdlmm), and heterogeneous subgroup/individualized effects (hdlmm) allowing for a comprehensive exploration of mixture exposure heterogeneity. Additionally, users can fine-tune parameters to impose effect shrinkage and perform exposure selection, enhancing the adaptability and precision of the modeling process. For more detailed documentation, visit: dlmtree website.

Usage

dlmtree(
  formula,
  data,
  exposure.data,
  dlm.type = "linear",
  family = "gaussian",
  mixture = FALSE,
  het = FALSE,
  cluster = NULL,
  control.mcmc = list(),
  control.hyper = list(),
  control.family = list(),
  control.tdlnm = list(),
  control.het = list(),
  control.mix = list(),
  control.monotone = list(),
  control.diagnose = list()
)

Arguments

formula

object of class formula, a symbolic description of the fixed effect model to be fitted, e.g. y ~ a + b.

data

data frame containing variables used in the formula.

exposure.data

numerical matrix of exposure data with same length as data, for a mixture setting (tdlmm, hdlmm): named list containing equally sized numerical matrices of exposure data having same length as data.

dlm.type

dlm model specification: "linear" (default), "nonlinear", "monotone".

family

'gaussian' for continuous response, 'logit' for binomial, 'zinb' for zero-inflated negative binomial.

mixture

flag for mixture, set to TRUE for tdlmm and hdlmm (default: FALSE).

het

flag for heterogeneity, set to TRUE for hdlm and hdlmm (default: FALSE).

cluster

variable name from data for cluster identifier. For best performance, data should ideally be presorted by this variable.

control.mcmc

list of MCMC control parameters. This is passed to dlmtree.control.mcmc.

control.hyper

list of hyperparameter control parameters. This is passed to dlmtree.control.hyper

control.family

list of family control parameters. This is passed to dlmtree.control.family

control.tdlnm

list of TDLNM control parameters. This is passed to dlmtree.control.tdlnm

control.het

list of control parameters for heterogeneous models. This is passed to dlmtree.control.het

control.mix

list of mixture control parameters. This is passed to dlmtree.control.mix

control.monotone

list of control parameters for monotone model. This is passed to dlmtree.control.monotone

control.diagnose

list of control parameters for diagnostics. This is passed to dlmtree.control.diagnose

Value

object of one of the classes: tdlm, tdlmm, tdlnm, hdlm, hdlmm, monotone

Details

dlmtree

Model is recommended to be run for at minimum 5000 burn-in iterations followed by 15000 sampling iterations with a thinning factor of 5. Convergence can be checked by re-running the model and validating consistency of results. Examples are provided below for the syntax for running different types of models. For more examples, visit: dlmtree website.

Examples

# \donttest{

  # The first three examples are for one lagged exposure


  # treed distributed lag model (TDLM)
  # binary outcome with logit link

  D <- sim.tdlmm(sim = "A", mean.p = 0.5, n = 1000)
  tdlm.fit <- dlmtree(y ~ .,
                      data = D$dat,
                      exposure.data = D$exposures[[1]],
                      dlm.type = "linear",
                      family = "logit",
                      control.family = list(binomial.size = 1))
#> Preparing data...
#> 
#> Running TDLM:
#> Burn-in % complete 
#> [0--------25--------50--------75--------100]
#>  ''''''''''''''''''''''''''''''''''''''''''
#> MCMC iterations (est time: 2 seconds)
#> [0--------25--------50--------75--------100]
#>  ''''''''''''''''''''''''''''''''''''''''''
#> Compiling results...

  # summarize results
  tdlm.sum <- summary(tdlm.fit)
  tdlm.sum
#> $ctr
#> $ctr$class
#> [1] "tdlm"
#> 
#> $ctr$n.trees
#> [1] 20
#> 
#> $ctr$n.iter
#> [1] 2000
#> 
#> $ctr$n.thin
#> [1] 10
#> 
#> $ctr$n.burn
#> [1] 1000
#> 
#> $ctr$response
#> [1] "logit"
#> 
#> 
#> $conf.level
#> [1] 0.95
#> 
#> $n.lag
#> [1] 37
#> 
#> $sig.to.noise
#> [1] 1.586176
#> 
#> $rse
#> [1] 0
#> 
#> $n
#> [1] 1000
#> 
#> $matfit
#>  [1] -0.027894173 -0.073033274 -0.425055812  0.156811730  0.134666129
#>  [6]  0.024133000  0.141622995 -0.124323363  0.136502358  0.093485541
#> [11] -0.030039577 -0.139733691 -0.144675320  0.080332370  0.004961616
#> [16]  0.031992435  0.101882679 -0.006254376  0.002682168  0.136382646
#> [21]  0.258343670 -0.015658826  0.378271453  0.247249486  0.247359097
#> [26]  0.178958568  0.308538586  0.151378717 -0.079356013 -0.049759232
#> [31]  0.068112306  0.038630970  0.057585950  0.153389384  0.200453456
#> [36] -0.081478872 -0.134801148
#> 
#> $cilower
#>  [1] -0.42408861 -0.42822926 -0.79001540 -0.13242657 -0.10589874 -0.24470129
#>  [7] -0.11792121 -0.47197495 -0.08896559 -0.18700651 -0.26361746 -0.42392294
#> [13] -0.39660418 -0.15308527 -0.26555193 -0.15124116 -0.08414201 -0.21790159
#> [19] -0.27724228 -0.09374773 -0.03466600 -0.43351129 -0.05565809  0.03465837
#> [25]  0.05811354 -0.10932473  0.09062312 -0.10210127 -0.32464189 -0.25941542
#> [31] -0.13565301 -0.16966983 -0.15767091 -0.13636819 -0.18508366 -0.35110361
#> [37] -0.42543790
#> 
#> $ciupper
#>  [1]  0.36711756  0.27235583 -0.10299728  0.45302945  0.41218693  0.25489902
#>  [7]  0.45644141  0.17016740  0.38611303  0.38815527  0.23248970  0.09309979
#> [13]  0.11605220  0.40412733  0.20478138  0.23328643  0.33495199  0.17684724
#> [19]  0.25042992  0.46429757  0.58214399  0.34958481  0.85213785  0.47542282
#> [25]  0.46065646  0.37892387  0.69073446  0.40586274  0.11936925  0.16121611
#> [31]  0.30309208  0.26060000  0.27175546  0.45177452  0.62176664  0.24633849
#> [37]  0.19142464
#> 
#> $cumulative.effect
#>      mean      2.5%     97.5% 
#> 2.0016636 0.9595533 3.1876194 
#> 
#> $formula
#> y ~ .
#> <environment: 0x5616df0fe830>
#> 
#> $gamma.mean
#> (Intercept)          c1          c2          c3          c4          c5 
#> -0.43911146  0.04965415  0.11774210 -0.15225601  0.07515823 -0.22778864 
#>          b1          b2          b3          b4          b5 
#> -0.06142975  0.06591349  0.09711661  0.15412526  0.54080150 
#> 
#> $gamma.ci
#>       (Intercept)          c1         c2          c3          c4          c5
#> 2.5%  -0.87074920 -0.09746641 -0.0385055 -0.31216320 -0.08775173 -0.40520154
#> 97.5% -0.07815537  0.18511672  0.3097020 -0.02303121  0.21718116 -0.06871387
#>               b1         b2         b3         b4        b5
#> 2.5%  -0.4089196 -0.2530744 -0.1717408 -0.1622657 0.2355742
#> 97.5%  0.2061630  0.3707575  0.4164537  0.4466821 0.8246868
#> 
#> attr(,"class")
#> [1] "summary.tdlm"

  # plot results
  plot(tdlm.sum)




  # Treed distributed lag nonlinear model (TDLNM)
  # Gaussian regression model
  D <- sim.tdlnm(sim = "A", error.to.signal = 1)
  tdlnm.fit <- dlmtree(formula = y ~ .,
                       data = D$dat,
                       exposure.data = D$exposures,
                       dlm.type = "nonlinear",
                       family = "gaussian")
#> Preparing data...
#> 
#> Running TDLNM:
#> Burn-in % complete 
#> [0--------25--------50--------75--------100]
#>  ''''''''''''''''''''''''''''''''''''''''''
#> MCMC iterations (est time: 0 seconds)
#> [0--------25--------50--------75--------100]
#>  ''''''''''''''''''''''''''''''''''''''''''
#> Compiling results...

  # summarize results
  tdlnm.sum <- summary(tdlnm.fit)
#> Centered DLNM at exposure value 0 
  tdlnm.sum
#> $ctr
#> $ctr$class
#> [1] "tdlnm"
#> 
#> $ctr$n.trees
#> [1] 20
#> 
#> $ctr$n.iter
#> [1] 2000
#> 
#> $ctr$n.thin
#> [1] 10
#> 
#> $ctr$n.burn
#> [1] 1000
#> 
#> $ctr$response
#> [1] "gaussian"
#> 
#> 
#> $conf.level
#> [1] 0.95
#> 
#> $n.lag
#> [1] 37
#> 
#> $sig.to.noise
#> [1] 0.8385891
#> 
#> $rse
#> [1] 0.2597029
#> 
#> $n
#> [1] 926
#> 
#> $plot.dat
#>     Tmin Tmax     Xmin     Xmax  PredVal           Est         SD        CIMin
#> 1      0    1 1.062245 1.699981 1.648694  0.0458451244 0.04731460 -0.005933553
#> 2      0    1 1.699981 1.775368 1.751268  0.0747268283 0.06703106 -0.012520062
#> 3      0    1 1.775368 1.835269 1.799468  0.0868565121 0.07374966 -0.018637023
#> 4      0    1 1.835269 1.892682 1.871069  0.0996649417 0.08080014 -0.041726104
#> 5      0    1 1.892682 1.933662 1.914296  0.1034545775 0.08402547 -0.048507356
#> 6      0    1 1.933662 1.972404 1.953028  0.1042327910 0.08669608 -0.062378326
#> 7      0    1 1.972404 2.008396 1.991781  0.1028231224 0.08936602 -0.077397870
#> 8      0    1 2.008396 2.041395 2.025010  0.1002545179 0.09169128 -0.090077359
#> 9      0    1 2.041395 2.076143 2.057780  0.0969039141 0.09396660 -0.101811986
#> 10     0    1 2.076143 2.117286 2.094506  0.0926819418 0.09637776 -0.123342866
#> 11     0    1 2.117286 2.163326 2.140066  0.0874861111 0.09894664 -0.137509646
#> 12     0    1 2.163326 2.205605 2.186586  0.0828960936 0.10087754 -0.141899796
#> 13     0    1 2.205605 2.246900 2.224624  0.0799343777 0.10188425 -0.146291469
#> 14     0    1 2.246900 2.293677 2.269176  0.0773825818 0.10248869 -0.147800541
#> 15     0    1 2.293677 2.343877 2.318177  0.0754887211 0.10266614 -0.145677314
#> 16     0    1 2.343877 2.403865 2.369576  0.0741157582 0.10262502 -0.142875298
#> 17     0    1 2.403865 2.496138 2.438154  0.0725594174 0.10261756 -0.140169249
#> 18     0    1 2.496138 2.627070 2.554122  0.0693182337 0.10296786 -0.141970299
#> 19     0    1 2.627070 3.622562 2.700018  0.0642257965 0.10455460 -0.142938199
#> 20     1    2 1.062245 1.699981 1.648694  0.0460560702 0.04723925 -0.005933553
#> 21     1    2 1.699981 1.775368 1.751268  0.0750751867 0.06684802 -0.012520062
#> 22     1    2 1.775368 1.835269 1.799468  0.0872717881 0.07341071 -0.018637023
#> 23     1    2 1.835269 1.892682 1.871069  0.1001709913 0.07990549 -0.030611322
#> 24     1    2 1.892682 1.933662 1.914296  0.1040069902 0.08251478 -0.042898205
#> 25     1    2 1.933662 1.972404 1.953028  0.1048218673 0.08443921 -0.045084582
#> 26     1    2 1.972404 2.008396 1.991781  0.1034475294 0.08622390 -0.051684985
#> 27     1    2 2.008396 2.041395 2.025010  0.1009122980 0.08774516 -0.064309334
#> 28     1    2 2.041395 2.076143 2.057780  0.0976019161 0.08925581 -0.069687192
#> 29     1    2 2.076143 2.117286 2.094506  0.0934390548 0.09091582 -0.092108142
#> 30     1    2 2.117286 2.163326 2.140066  0.0883442411 0.09278430 -0.116650967
#> 31     1    2 2.163326 2.205605 2.186586  0.0838928570 0.09428568 -0.135770282
#> 32     1    2 2.205605 2.246900 2.224624  0.0810689153 0.09512369 -0.141499094
#> 33     1    2 2.246900 2.293677 2.269176  0.0786982987 0.09567576 -0.140802388
#> 34     1    2 2.293677 2.343877 2.318177  0.0770138410 0.09589764 -0.139321898
#> 35     1    2 2.343877 2.403865 2.369576  0.0758537957 0.09594630 -0.137403029
#> 36     1    2 2.403865 2.496138 2.438154  0.0745468471 0.09605333 -0.134985655
#> 37     1    2 2.496138 2.627070 2.554122  0.0716155158 0.09650143 -0.126381938
#> 38     1    2 2.627070 3.622562 2.700018  0.0667777807 0.09817524 -0.134882440
#> 39     2    3 1.062245 1.699981 1.648694  0.0463169313 0.04726580 -0.005933553
#> 40     2    3 1.699981 1.775368 1.751268  0.0756836339 0.06697170 -0.012669820
#> 41     2    3 1.775368 1.835269 1.799468  0.0881315957 0.07370073 -0.021943176
#> 42     2    3 1.835269 1.892682 1.871069  0.1015130298 0.08075827 -0.048722923
#> 43     2    3 1.892682 1.933662 1.914296  0.1056907816 0.08395722 -0.055101143
#> 44     2    3 1.933662 1.972404 1.953028  0.1068303832 0.08657703 -0.072059381
#> 45     2    3 1.972404 2.008396 1.991781  0.1057863732 0.08918488 -0.091534377
#> 46     2    3 2.008396 2.041395 2.025010  0.1035314787 0.09147384 -0.104478813
#> 47     2    3 2.041395 2.076143 2.057780  0.1004918942 0.09375879 -0.124536661
#> 48     2    3 2.076143 2.117286 2.094506  0.0966275434 0.09626794 -0.143155881
#> 49     2    3 2.117286 2.163326 2.140066  0.0919082200 0.09912030 -0.175663188
#> 50     2    3 2.163326 2.205605 2.186586  0.0878727366 0.10152286 -0.184960259
#> 51     2    3 2.205605 2.246900 2.224624  0.0854363656 0.10301318 -0.188916371
#> 52     2    3 2.246900 2.293677 2.269176  0.0835947258 0.10421940 -0.190307141
#> 53     2    3 2.293677 2.343877 2.318177  0.0825929150 0.10498697 -0.189033679
#> 54     2    3 2.343877 2.403865 2.369576  0.0822393912 0.10535479 -0.185931354
#> 55     2    3 2.403865 2.496138 2.438154  0.0820484509 0.10543992 -0.180815406
#> 56     2    3 2.496138 2.627070 2.554122  0.0806515847 0.10513033 -0.172943435
#> 57     2    3 2.627070 3.622562 2.700018  0.0766202979 0.10612878 -0.167015453
#> 58     3    4 1.062245 1.699981 1.648694  0.0467303386 0.04712387 -0.006229762
#> 59     3    4 1.699981 1.775368 1.751268  0.0776991500 0.06639719 -0.009631761
#> 60     3    4 1.775368 1.835269 1.799468  0.0915877603 0.07255932 -0.009179163
#> 61     3    4 1.835269 1.892682 1.871069  0.1080842310 0.07803366 -0.011863637
#> 62     3    4 1.892682 1.933662 1.914296  0.1146592477 0.07973699 -0.011993345
#> 63     3    4 1.933662 1.972404 1.953028  0.1181828079 0.08063742 -0.011628524
#> 64     3    4 1.972404 2.008396 1.991781  0.1196389094 0.08118628 -0.017302634
#> 65     3    4 2.008396 2.041395 2.025010  0.1195298006 0.08149489 -0.014631452
#> 66     3    4 2.041395 2.076143 2.057780  0.1185334691 0.08171502 -0.012741988
#> 67     3    4 2.076143 2.117286 2.094506  0.1167997016 0.08190397 -0.013600172
#> 68     3    4 2.117286 2.163326 2.140066  0.1144041051 0.08208997 -0.022661575
#> 69     3    4 2.163326 2.205605 2.186586  0.1123239106 0.08224752 -0.028898665
#> 70     3    4 2.205605 2.246900 2.224624  0.1111733327 0.08236535 -0.031089901
#> 71     3    4 2.246900 2.293677 2.269176  0.1105144462 0.08251408 -0.033060706
#> 72     3    4 2.293677 2.343877 2.318177  0.1104768335 0.08273054 -0.033925657
#> 73     3    4 2.343877 2.403865 2.369576  0.1108416463 0.08305218 -0.034281836
#> 74     3    4 2.403865 2.496138 2.438154  0.1112790792 0.08361318 -0.032553069
#> 75     3    4 2.496138 2.627070 2.554122  0.1104342344 0.08472382 -0.043078014
#> 76     3    4 2.627070 3.622562 2.700018  0.1066761392 0.08797064 -0.061007141
#> 77     4    5 1.062245 1.699981 1.648694  0.0487619550 0.04666216 -0.005684666
#> 78     4    5 1.699981 1.775368 1.751268  0.0810568256 0.06568359 -0.008759303
#> 79     4    5 1.775368 1.835269 1.799468  0.0955724220 0.07177229 -0.007608806
#> 80     4    5 1.835269 1.892682 1.871069  0.1129209510 0.07714036 -0.007139335
#> 81     4    5 1.892682 1.933662 1.914296  0.1199436975 0.07871886 -0.008077554
#> 82     4    5 1.933662 1.972404 1.953028  0.1238213992 0.07943162 -0.011399794
#> 83     4    5 1.972404 2.008396 1.991781  0.1255894595 0.07970992 -0.011975758
#> 84     4    5 2.008396 2.041395 2.025010  0.1257184676 0.07972685 -0.013193457
#> 85     4    5 2.041395 2.076143 2.057780  0.1249361387 0.07962081 -0.012451502
#> 86     4    5 2.076143 2.117286 2.094506  0.1234262621 0.07942298 -0.013337476
#> 87     4    5 2.117286 2.163326 2.140066  0.1213017074 0.07913831 -0.014471946
#> 88     4    5 2.163326 2.205605 2.186586  0.1195139705 0.07886547 -0.013482504
#> 89     4    5 2.205605 2.246900 2.224624  0.1186322241 0.07868582 -0.014261518
#> 90     4    5 2.246900 2.293677 2.269176  0.1183414672 0.07855433 -0.016051053
#> 91     4    5 2.293677 2.343877 2.318177  0.1187978837 0.07854948 -0.016373350
#> 92     4    5 2.343877 2.403865 2.369576  0.1198092943 0.07874821 -0.015498493
#> 93     4    5 2.403865 2.496138 2.438154  0.1213722565 0.07938235 -0.013363280
#> 94     4    5 2.496138 2.627070 2.554122  0.1233293590 0.08156132 -0.008677194
#> 95     4    5 2.627070 3.622562 2.700018  0.1245589837 0.08758060 -0.001173507
#> 96     5    6 1.062245 1.699981 1.648694  0.0487872608 0.04724531 -0.006238762
#> 97     5    6 1.699981 1.775368 1.751268  0.0805387409 0.06652972 -0.008759303
#> 98     5    6 1.775368 1.835269 1.799468  0.0946092491 0.07256125 -0.007608806
#> 99     5    6 1.835269 1.892682 1.871069  0.1111299259 0.07739315 -0.010949103
#> 100    5    6 1.892682 1.933662 1.914296  0.1176113361 0.07834962 -0.011835860
#> 101    5    6 1.933662 1.972404 1.953028  0.1210143929 0.07836257 -0.011531769
#> 102    5    6 1.972404 2.008396 1.991781  0.1223409422 0.07789238 -0.012029454
#> 103    5    6 2.008396 2.041395 2.025010  0.1221302802 0.07730512 -0.013371479
#> 104    5    6 2.041395 2.076143 2.057780  0.1210542770 0.07669573 -0.014337762
#> 105    5    6 2.076143 2.117286 2.094506  0.1192664139 0.07608690 -0.014897354
#> 106    5    6 2.117286 2.163326 2.140066  0.1168699205 0.07553575 -0.014753960
#> 107    5    6 2.163326 2.205605 2.186586  0.1148792991 0.07522562 -0.014544441
#> 108    5    6 2.205605 2.246900 2.224624  0.1138786894 0.07512741 -0.019936414
#> 109    5    6 2.246900 2.293677 2.269176  0.1134901983 0.07513820 -0.024450784
#> 110    5    6 2.293677 2.343877 2.318177  0.1138730611 0.07526089 -0.027566405
#> 111    5    6 2.343877 2.403865 2.369576  0.1148207434 0.07548048 -0.029990473
#> 112    5    6 2.403865 2.496138 2.438154  0.1162692695 0.07584719 -0.030130813
#> 113    5    6 2.496138 2.627070 2.554122  0.1177848887 0.07629515 -0.026934687
#> 114    5    6 2.627070 3.622562 2.700018  0.1179088558 0.07630088 -0.018583771
#> 115    6    7 1.062245 1.699981 1.648694  0.0494167855 0.04695628 -0.006236958
#> 116    6    7 1.699981 1.775368 1.751268  0.0816153558 0.06592997 -0.009631761
#> 117    6    7 1.775368 1.835269 1.799468  0.0959073260 0.07186314 -0.006376831
#> 118    6    7 1.835269 1.892682 1.871069  0.1127483572 0.07672759 -0.010949103
#> 119    6    7 1.892682 1.933662 1.914296  0.1194159578 0.07783050 -0.011804019
#> 120    6    7 1.933662 1.972404 1.953028  0.1229835376 0.07804130 -0.011087906
#> 121    6    7 1.972404 2.008396 1.991781  0.1244760744 0.07780244 -0.010687648
#> 122    6    7 2.008396 2.041395 2.025010  0.1244118466 0.07741406 -0.011172077
#> 123    6    7 2.041395 2.076143 2.057780  0.1234863445 0.07698151 -0.012451502
#> 124    6    7 2.076143 2.117286 2.094506  0.1218763636 0.07653375 -0.013337476
#> 125    6    7 2.117286 2.163326 2.140066  0.1197153602 0.07612246 -0.013386342
#> 126    6    7 2.163326 2.205605 2.186586  0.1179803659 0.07590084 -0.013405142
#> 127    6    7 2.205605 2.246900 2.224624  0.1171961753 0.07585303 -0.014482586
#> 128    6    7 2.246900 2.293677 2.269176  0.1170626186 0.07591735 -0.021213747
#> 129    6    7 2.293677 2.343877 2.318177  0.1177171368 0.07610506 -0.026811542
#> 130    6    7 2.343877 2.403865 2.369576  0.1189272479 0.07639899 -0.029209595
#> 131    6    7 2.403865 2.496138 2.438154  0.1206720080 0.07685295 -0.029213114
#> 132    6    7 2.496138 2.627070 2.554122  0.1225230309 0.07736041 -0.019279965
#> 133    6    7 2.627070 3.622562 2.700018  0.1228224860 0.07732332 -0.004642118
#> 134    7    8 1.062245 1.699981 1.648694  0.0539657454 0.04917441 -0.000832610
#> 135    7    8 1.699981 1.775368 1.751268  0.0882205553 0.07006917 -0.003872626
#> 136    7    8 1.775368 1.835269 1.799468  0.1032040132 0.07730117 -0.006336346
#> 137    7    8 1.835269 1.892682 1.871069  0.1206169195 0.08446041 -0.010797869
#> 138    7    8 1.892682 1.933662 1.914296  0.1273734263 0.08697099 -0.011804019
#> 139    7    8 1.933662 1.972404 1.953028  0.1308845948 0.08830267 -0.011087906
#> 140    7    8 1.972404 2.008396 1.991781  0.1322232459 0.08894948 -0.010687648
#> 141    7    8 2.008396 2.041395 2.025010  0.1319748410 0.08908657 -0.011172077
#> 142    7    8 2.041395 2.076143 2.057780  0.1308420684 0.08895173 -0.014159844
#> 143    7    8 2.076143 2.117286 2.094506  0.1289922720 0.08860083 -0.014736076
#> 144    7    8 2.117286 2.163326 2.140066  0.1265535121 0.08804311 -0.014652940
#> 145    7    8 2.163326 2.205605 2.186586  0.1245851829 0.08749635 -0.014417387
#> 146    7    8 2.205605 2.246900 2.224624  0.1236593540 0.08714033 -0.019757948
#> 147    7    8 2.246900 2.293677 2.269176  0.1234188918 0.08686301 -0.023699651
#> 148    7    8 2.293677 2.343877 2.318177  0.1240233178 0.08673492 -0.020876373
#> 149    7    8 2.343877 2.403865 2.369576  0.1252428909 0.08676593 -0.020278791
#> 150    7    8 2.403865 2.496138 2.438154  0.1270695534 0.08695059 -0.018192886
#> 151    7    8 2.496138 2.627070 2.554122  0.1291424000 0.08716191 -0.020313462
#> 152    7    8 2.627070 3.622562 2.700018  0.1296813728 0.08695128 -0.011044416
#> 153    8    9 1.062245 1.699981 1.648694  0.0535346338 0.04931103 -0.001724467
#> 154    8    9 1.699981 1.775368 1.751268  0.0872156345 0.07048593 -0.009642251
#> 155    8    9 1.775368 1.835269 1.799468  0.1017769267 0.07798546 -0.010883027
#> 156    8    9 1.835269 1.892682 1.871069  0.1183692278 0.08579708 -0.011821433
#> 157    8    9 1.892682 1.933662 1.914296  0.1245397608 0.08887869 -0.013101582
#> 158    8    9 1.933662 1.972404 1.953028  0.1274950107 0.09083738 -0.016165946
#> 159    8    9 1.972404 2.008396 1.991781  0.1282757294 0.09220597 -0.023161335
#> 160    8    9 2.008396 2.041395 2.025010  0.1275689770 0.09301671 -0.026841894
#> 161    8    9 2.041395 2.076143 2.057780  0.1260194164 0.09357221 -0.030261722
#> 162    8    9 2.076143 2.117286 2.094506  0.1237600584 0.09399560 -0.033689135
#> 163    8    9 2.117286 2.163326 2.140066  0.1209149242 0.09435277 -0.037120982
#> 164    8    9 2.163326 2.205605 2.186586  0.1186559886 0.09464225 -0.039522748
#> 165    8    9 2.205605 2.246900 2.224624  0.1175823394 0.09487573 -0.040775434
#> 166    8    9 2.246900 2.293677 2.269176  0.1172589349 0.09517235 -0.041618754
#> 167    8    9 2.293677 2.343877 2.318177  0.1178623877 0.09553246 -0.041986251
#> 168    8    9 2.343877 2.403865 2.369576  0.1191524054 0.09592760 -0.041931884
#> 169    8    9 2.403865 2.496138 2.438154  0.1211333482 0.09640065 -0.041066323
#> 170    8    9 2.496138 2.627070 2.554122  0.1234711224 0.09674393 -0.038973912
#> 171    8    9 2.627070 3.622562 2.700018  0.1241755715 0.09636522 -0.041241785
#> 172    9   10 1.062245 1.699981 1.648694  0.0492778001 0.04820058 -0.006740170
#> 173    9   10 1.699981 1.775368 1.751268  0.0723400525 0.06920018 -0.035485225
#> 174    9   10 1.775368 1.835269 1.799468  0.0777655588 0.07898196 -0.066857836
#> 175    9   10 1.835269 1.892682 1.871069  0.0751708549 0.09791446 -0.160031110
#> 176    9   10 1.892682 1.933662 1.914296  0.0670231566 0.11380668 -0.228118395
#> 177    9   10 1.933662 1.972404 1.953028  0.0561383397 0.13090188 -0.296231221
#> 178    9   10 1.972404 2.008396 1.991781  0.0428793783 0.14976828 -0.367358217
#> 179    9   10 2.008396 2.041395 2.025010  0.0305692042 0.16635768 -0.427626050
#> 180    9   10 2.041395 2.076143 2.057780  0.0184250278 0.18221000 -0.483852247
#> 181    9   10 2.076143 2.117286 2.094506  0.0056944839 0.19850824 -0.541091186
#> 182    9   10 2.117286 2.163326 2.140066 -0.0077044727 0.21559189 -0.600605981
#> 183    9   10 2.163326 2.205605 2.186586 -0.0178818257 0.22891781 -0.646424441
#> 184    9   10 2.205605 2.246900 2.224624 -0.0234888264 0.23681677 -0.673271193
#> 185    9   10 2.246900 2.293677 2.269176 -0.0273220764 0.24315825 -0.694637083
#> 186    9   10 2.293677 2.343877 2.318177 -0.0289409646 0.24739331 -0.708624646
#> 187    9   10 2.343877 2.403865 2.369576 -0.0288089311 0.24981087 -0.716223853
#> 188    9   10 2.403865 2.496138 2.438154 -0.0273956301 0.25126867 -0.720257822
#> 189    9   10 2.496138 2.627070 2.554122 -0.0250944017 0.25180639 -0.721405758
#> 190    9   10 2.627070 3.622562 2.700018 -0.0239904607 0.25129360 -0.721100038
#> 191   10   11 1.062245 1.699981 1.648694  0.0190629308 0.04655650 -0.040078283
#> 192   10   11 1.699981 1.775368 1.751268 -0.0349309470 0.06481120 -0.131678362
#> 193   10   11 1.775368 1.835269 1.799468 -0.0964783091 0.07158491 -0.212590265
#> 194   10   11 1.835269 1.892682 1.871069 -0.2405605403 0.08195072 -0.373213042
#> 195   10   11 1.892682 1.933662 1.914296 -0.3546809182 0.08950150 -0.496433502
#> 196   10   11 1.933662 1.972404 1.953028 -0.4681806310 0.09705729 -0.619952690
#> 197   10   11 1.972404 2.008396 1.991781 -0.5856602303 0.10485065 -0.740466085
#> 198   10   11 2.008396 2.041395 2.025010 -0.6841824465 0.11127578 -0.836944932
#> 199   10   11 2.041395 2.076143 2.057780 -0.7751029779 0.11707752 -0.930140387
#> 200   10   11 2.076143 2.117286 2.094506 -0.8657632841 0.12274365 -1.031217905
#> 201   10   11 2.117286 2.163326 2.140066 -0.9578273518 0.12841934 -1.123328315
#> 202   10   11 2.163326 2.205605 2.186586 -1.0271939515 0.13269226 -1.190553611
#> 203   10   11 2.205605 2.246900 2.224624 -1.0668380233 0.13514254 -1.229588314
#> 204   10   11 2.246900 2.293677 2.269176 -1.0972101317 0.13699967 -1.262929516
#> 205   10   11 2.293677 2.343877 2.318177 -1.1158613500 0.13807755 -1.277204281
#> 206   10   11 2.343877 2.403865 2.369576 -1.1248535159 0.13851784 -1.283384446
#> 207   10   11 2.403865 2.496138 2.438154 -1.1283144508 0.13862536 -1.286343823
#> 208   10   11 2.496138 2.627070 2.554122 -1.1276947754 0.13878089 -1.290075261
#> 209   10   11 2.627070 3.622562 2.700018 -1.1267633760 0.13957012 -1.291440109
#> 210   11   12 1.062245 1.699981 1.648694  0.0185922060 0.04650123 -0.040078283
#> 211   11   12 1.699981 1.775368 1.751268 -0.0368580645 0.06425484 -0.131678362
#> 212   11   12 1.775368 1.835269 1.799468 -0.0997711920 0.06997418 -0.212588128
#> 213   11   12 1.835269 1.892682 1.871069 -0.2469187445 0.07625775 -0.373025891
#> 214   11   12 1.892682 1.933662 1.914296 -0.3634576785 0.07932592 -0.496433502
#> 215   11   12 1.933662 1.972404 1.953028 -0.4793850482 0.08159950 -0.619952690
#> 216   11   12 1.972404 2.008396 1.991781 -0.5994112807 0.08323306 -0.740466085
#> 217   11   12 2.008396 2.041395 2.025010 -0.7001002310 0.08403886 -0.836944932
#> 218   11   12 2.041395 2.076143 2.057780 -0.7930476635 0.08434778 -0.930140387
#> 219   11   12 2.076143 2.117286 2.094506 -0.8857556355 0.08431143 -1.029727413
#> 220   11   12 2.117286 2.163326 2.140066 -0.9799212657 0.08407643 -1.126767361
#> 221   11   12 2.163326 2.205605 2.186586 -1.0508680299 0.08392380 -1.196872309
#> 222   11   12 2.205605 2.246900 2.224624 -1.0913864116 0.08389150 -1.231273779
#> 223   11   12 2.246900 2.293677 2.269176 -1.1223621351 0.08384881 -1.262929516
#> 224   11   12 2.293677 2.343877 2.318177 -1.1412602999 0.08368139 -1.277204281
#> 225   11   12 2.343877 2.403865 2.369576 -1.1501837954 0.08338043 -1.283384446
#> 226   11   12 2.403865 2.496138 2.438154 -1.1532643343 0.08299994 -1.286072540
#> 227   11   12 2.496138 2.627070 2.554122 -1.1518457867 0.08294513 -1.289782931
#> 228   11   12 2.627070 3.622562 2.700018 -1.1502890566 0.08363299 -1.291141949
#> 229   12   13 1.062245 1.699981 1.648694  0.0186125824 0.04640188 -0.039748766
#> 230   12   13 1.699981 1.775368 1.751268 -0.0369415266 0.06426681 -0.131678362
#> 231   12   13 1.775368 1.835269 1.799468 -0.0999287112 0.07013210 -0.212588128
#> 232   12   13 1.835269 1.892682 1.871069 -0.2471943270 0.07673054 -0.373025891
#> 233   12   13 1.892682 1.933662 1.914296 -0.3637972777 0.08000144 -0.496433502
#> 234   12   13 1.933662 1.972404 1.953028 -0.4797711817 0.08243197 -0.621352745
#> 235   12   13 1.972404 2.008396 1.991781 -0.5998306951 0.08418213 -0.740466085
#> 236   12   13 2.008396 2.041395 2.025010 -0.7005364626 0.08504994 -0.836944932
#> 237   12   13 2.041395 2.076143 2.057780 -0.7934897113 0.08538521 -0.930140387
#> 238   12   13 2.076143 2.117286 2.094506 -0.8861920862 0.08534073 -1.029710830
#> 239   12   13 2.117286 2.163326 2.140066 -0.9803350401 0.08505203 -1.126767361
#> 240   12   13 2.163326 2.205605 2.186586 -1.0512444302 0.08481601 -1.196872309
#> 241   12   13 2.205605 2.246900 2.224624 -1.0917249476 0.08471117 -1.231273779
#> 242   12   13 2.246900 2.293677 2.269176 -1.1226518750 0.08459300 -1.262929516
#> 243   12   13 2.293677 2.343877 2.318177 -1.1414950369 0.08436224 -1.277204281
#> 244   12   13 2.343877 2.403865 2.369576 -1.1503624889 0.08401535 -1.283384446
#> 245   12   13 2.403865 2.496138 2.438154 -1.1533708174 0.08359084 -1.280329044
#> 246   12   13 2.496138 2.627070 2.554122 -1.1518142768 0.08345411 -1.289910252
#> 247   12   13 2.627070 3.622562 2.700018 -1.1500164863 0.08400998 -1.291489226
#> 248   13   14 1.062245 1.699981 1.648694  0.0176405098 0.04642228 -0.040312518
#> 249   13   14 1.699981 1.775368 1.751268 -0.0385788256 0.06451206 -0.131919085
#> 250   13   14 1.775368 1.835269 1.799468 -0.1018958972 0.07053781 -0.214225859
#> 251   13   14 1.835269 1.892682 1.871069 -0.2496279482 0.07734822 -0.380655461
#> 252   13   14 1.892682 1.933662 1.914296 -0.3664823171 0.08066939 -0.504173604
#> 253   13   14 1.933662 1.972404 1.953028 -0.4826548307 0.08306763 -0.622239376
#> 254   13   14 1.972404 2.008396 1.991781 -0.6028849694 0.08470748 -0.747867743
#> 255   13   14 2.008396 2.041395 2.025010 -0.7037143335 0.08542330 -0.856391325
#> 256   13   14 2.041395 2.076143 2.057780 -0.7967699840 0.08556584 -0.947078504
#> 257   13   14 2.076143 2.117286 2.094506 -0.8895666068 0.08527061 -1.034766300
#> 258   13   14 2.117286 2.163326 2.140066 -0.9838019005 0.08465565 -1.134583079
#> 259   13   14 2.163326 2.205605 2.186586 -1.0547857182 0.08412468 -1.203231195
#> 260   13   14 2.205605 2.246900 2.224624 -1.0953186789 0.08384855 -1.239372079
#> 261   13   14 2.246900 2.293677 2.269176 -1.1263044550 0.08364189 -1.266932398
#> 262   13   14 2.293677 2.343877 2.318177 -1.1452166762 0.08346226 -1.280990537
#> 263   13   14 2.343877 2.403865 2.369576 -1.1541673823 0.08330173 -1.291399520
#> 264   13   14 2.403865 2.496138 2.438154 -1.1573042374 0.08320726 -1.296367320
#> 265   13   14 2.496138 2.627070 2.554122 -1.1559621800 0.08342634 -1.296533942
#> 266   13   14 2.627070 3.622562 2.700018 -1.1542980185 0.08393965 -1.304480052
#> 267   14   15 1.062245 1.699981 1.648694  0.0176006207 0.04663075 -0.040549630
#> 268   14   15 1.699981 1.775368 1.751268 -0.0384391974 0.06496588 -0.131795562
#> 269   14   15 1.775368 1.835269 1.799468 -0.1015409915 0.07116397 -0.213649269
#> 270   14   15 1.835269 1.892682 1.871069 -0.2487542131 0.07831467 -0.382342686
#> 271   14   15 1.892682 1.933662 1.914296 -0.3651902310 0.08188871 -0.508256348
#> 272   14   15 1.933662 1.972404 1.953028 -0.4809426431 0.08454127 -0.631460652
#> 273   14   15 1.972404 2.008396 1.991781 -0.6007343830 0.08646104 -0.755267346
#> 274   14   15 2.008396 2.041395 2.025010 -0.7011931317 0.08743613 -0.856977018
#> 275   14   15 2.041395 2.076143 2.057780 -0.7939037358 0.08784795 -0.950676850
#> 276   14   15 2.076143 2.117286 2.094506 -0.8863521680 0.08786055 -1.043006758
#> 277   14   15 2.117286 2.163326 2.140066 -0.9802270349 0.08761045 -1.134759707
#> 278   14   15 2.163326 2.205605 2.186586 -1.0509311618 0.08739563 -1.203433296
#> 279   14   15 2.205605 2.246900 2.224624 -1.0912987897 0.08731332 -1.241190141
#> 280   14   15 2.246900 2.293677 2.269176 -1.1221542316 0.08724640 -1.270429707
#> 281   14   15 2.293677 2.343877 2.318177 -1.1409878073 0.08710835 -1.288646234
#> 282   14   15 2.343877 2.403865 2.369576 -1.1499123232 0.08687481 -1.295587692
#> 283   14   15 2.403865 2.496138 2.438154 -1.1530788411 0.08654530 -1.296525166
#> 284   14   15 2.496138 2.627070 2.554122 -1.1518809040 0.08630019 -1.295919072
#> 285   14   15 2.627070 3.622562 2.700018 -1.1504061987 0.08669372 -1.299922976
#> 286   15   16 1.062245 1.699981 1.648694  0.0367861592 0.04135575 -0.007134841
#> 287   15   16 1.699981 1.775368 1.751268  0.0570381141 0.05971627 -0.016964566
#> 288   15   16 1.775368 1.835269 1.799468  0.0641110178 0.06602351 -0.023046110
#> 289   15   16 1.835269 1.892682 1.871069  0.0691989496 0.07170600 -0.032394703
#> 290   15   16 1.892682 1.933662 1.914296  0.0688718902 0.07317578 -0.036703571
#> 291   15   16 1.933662 1.972404 1.953028  0.0667245386 0.07356723 -0.038058226
#> 292   15   16 1.972404 2.008396 1.991781  0.0633436648 0.07341331 -0.041398445
#> 293   15   16 2.008396 2.041395 2.025010  0.0599350179 0.07307915 -0.045583380
#> 294   15   16 2.041395 2.076143 2.057780  0.0565250404 0.07272079 -0.047210177
#> 295   15   16 2.076143 2.117286 2.094506  0.0530657626 0.07238825 -0.055689812
#> 296   15   16 2.117286 2.163326 2.140066  0.0498105971 0.07212400 -0.058212940
#> 297   15   16 2.163326 2.205605 2.186586  0.0479972078 0.07197956 -0.056615527
#> 298   15   16 2.205605 2.246900 2.224624  0.0476558328 0.07190461 -0.052604542
#> 299   15   16 2.246900 2.293677 2.269176  0.0483505504 0.07183818 -0.045676847
#> 300   15   16 2.293677 2.343877 2.318177  0.0500547216 0.07180240 -0.049013648
#> 301   15   16 2.343877 2.403865 2.369576  0.0523404468 0.07183736 -0.049984112
#> 302   15   16 2.403865 2.496138 2.438154  0.0553407741 0.07200142 -0.053449138
#> 303   15   16 2.496138 2.627070 2.554122  0.0588049650 0.07231892 -0.054223241
#> 304   15   16 2.627070 3.622562 2.700018  0.0604876405 0.07249164 -0.037206826
#> 305   16   17 1.062245 1.699981 1.648694  0.0359563076 0.04026176 -0.007079988
#> 306   16   17 1.699981 1.775368 1.751268  0.0559141396 0.05832055 -0.016824333
#> 307   16   17 1.775368 1.835269 1.799468  0.0629556118 0.06454410 -0.021394561
#> 308   16   17 1.835269 1.892682 1.871069  0.0681688537 0.07005485 -0.031940094
#> 309   16   17 1.892682 1.933662 1.914296  0.0680119520 0.07131094 -0.034516828
#> 310   16   17 1.933662 1.972404 1.953028  0.0660623654 0.07139457 -0.036799545
#> 311   16   17 1.972404 2.008396 1.991781  0.0629046440 0.07080764 -0.039253729
#> 312   16   17 2.008396 2.041395 2.025010  0.0596932264 0.07001104 -0.040967751
#> 313   16   17 2.041395 2.076143 2.057780  0.0564714885 0.06913806 -0.041325941
#> 314   16   17 2.076143 2.117286 2.094506  0.0532048269 0.06820086 -0.040750034
#> 315   16   17 2.117286 2.163326 2.140066  0.0501497919 0.06721865 -0.041028992
#> 316   16   17 2.163326 2.205605 2.186586  0.0484905802 0.06645225 -0.040674864
#> 317   16   17 2.205605 2.246900 2.224624  0.0482395121 0.06598190 -0.039994315
#> 318   16   17 2.246900 2.293677 2.269176  0.0490061627 0.06558351 -0.041730872
#> 319   16   17 2.293677 2.343877 2.318177  0.0507585581 0.06531915 -0.038850802
#> 320   16   17 2.343877 2.403865 2.369576  0.0530729240 0.06521793 -0.038712244
#> 321   16   17 2.403865 2.496138 2.438154  0.0560933302 0.06527681 -0.037825414
#> 322   16   17 2.496138 2.627070 2.554122  0.0595732704 0.06545040 -0.035879523
#> 323   16   17 2.627070 3.622562 2.700018  0.0612636222 0.06553141 -0.033597200
#> 324   17   18 1.062245 1.699981 1.648694  0.0350393369 0.04035645 -0.007622146
#> 325   17   18 1.699981 1.775368 1.751268  0.0542027441 0.05824202 -0.017452839
#> 326   17   18 1.775368 1.835269 1.799468  0.0608626050 0.06433691 -0.023557029
#> 327   17   18 1.835269 1.892682 1.871069  0.0655946509 0.06968549 -0.032394703
#> 328   17   18 1.892682 1.933662 1.914296  0.0652244779 0.07089752 -0.037078311
#> 329   17   18 1.933662 1.972404 1.953028  0.0631400259 0.07098482 -0.039106879
#> 330   17   18 1.972404 2.008396 1.991781  0.0598993201 0.07043564 -0.041032474
#> 331   17   18 2.008396 2.041395 2.025010  0.0566547086 0.06968748 -0.041574403
#> 332   17   18 2.041395 2.076143 2.057780  0.0534305029 0.06886530 -0.044236693
#> 333   17   18 2.076143 2.117286 2.094506  0.0501915351 0.06797656 -0.046819007
#> 334   17   18 2.117286 2.163326 2.140066  0.0472066872 0.06702913 -0.042498584
#> 335   17   18 2.163326 2.205605 2.186586  0.0456486497 0.06626412 -0.042145577
#> 336   17   18 2.205605 2.246900 2.224624  0.0454938242 0.06577206 -0.042366838
#> 337   17   18 2.246900 2.293677 2.269176  0.0463791431 0.06532859 -0.044126650
#> 338   17   18 2.293677 2.343877 2.318177  0.0482585549 0.06499824 -0.040451844
#> 339   17   18 2.343877 2.403865 2.369576  0.0506916055 0.06481694 -0.043988391
#> 340   17   18 2.403865 2.496138 2.438154  0.0538360739 0.06476203 -0.042463858
#> 341   17   18 2.496138 2.627070 2.554122  0.0574352921 0.06475636 -0.036144113
#> 342   17   18 2.627070 3.622562 2.700018  0.0591717443 0.06469572 -0.035595597
#> 343   18   19 1.062245 1.699981 1.648694  0.0339922358 0.03919995 -0.007622146
#> 344   18   19 1.699981 1.775368 1.751268  0.0521580017 0.05642859 -0.017452839
#> 345   18   19 1.775368 1.835269 1.799468  0.0583552184 0.06228881 -0.023557029
#> 346   18   19 1.835269 1.892682 1.871069  0.0625901023 0.06735204 -0.032394703
#> 347   18   19 1.892682 1.933662 1.914296  0.0620915237 0.06837622 -0.039300549
#> 348   18   19 1.933662 1.972404 1.953028  0.0600181957 0.06825170 -0.040013003
#> 349   18   19 1.972404 2.008396 1.991781  0.0569020925 0.06743696 -0.041500273
#> 350   18   19 2.008396 2.041395 2.025010  0.0538408006 0.06642314 -0.046914027
#> 351   18   19 2.041395 2.076143 2.057780  0.0508490946 0.06532170 -0.048370507
#> 352   18   19 2.076143 2.117286 2.094506  0.0479084998 0.06413214 -0.047272384
#> 353   18   19 2.117286 2.163326 2.140066  0.0453118699 0.06289347 -0.047289617
#> 354   18   19 2.163326 2.205605 2.186586  0.0441313045 0.06199818 -0.046462027
#> 355   18   19 2.205605 2.246900 2.224624  0.0442509572 0.06155718 -0.045963525
#> 356   18   19 2.246900 2.293677 2.269176  0.0454090000 0.06135122 -0.044764188
#> 357   18   19 2.293677 2.343877 2.318177  0.0475292583 0.06145300 -0.043586880
#> 358   18   19 2.343877 2.403865 2.369576  0.0501612584 0.06181875 -0.045207205
#> 359   18   19 2.403865 2.496138 2.438154  0.0535159817 0.06245454 -0.044727105
#> 360   18   19 2.496138 2.627070 2.554122  0.0574016538 0.06312036 -0.036728269
#> 361   18   19 2.627070 3.622562 2.700018  0.0594010741 0.06316765 -0.032558351
#> 362   19   20 1.062245 1.699981 1.648694  0.0328219560 0.03921728 -0.013748890
#> 363   19   20 1.699981 1.775368 1.751268  0.0502502514 0.05659879 -0.018991019
#> 364   19   20 1.775368 1.835269 1.799468  0.0561044513 0.06250365 -0.023404230
#> 365   19   20 1.835269 1.892682 1.871069  0.0598824871 0.06751356 -0.032173978
#> 366   19   20 1.892682 1.933662 1.914296  0.0591533085 0.06841634 -0.039300549
#> 367   19   20 1.933662 1.972404 1.953028  0.0569083188 0.06813199 -0.040013003
#> 368   19   20 1.972404 2.008396 1.991781  0.0536562787 0.06712767 -0.041500273
#> 369   19   20 2.008396 2.041395 2.025010  0.0505080279 0.06594733 -0.046914027
#> 370   19   20 2.041395 2.076143 2.057780  0.0474575421 0.06469623 -0.048370507
#> 371   19   20 2.076143 2.117286 2.094506  0.0444823682 0.06337368 -0.047272384
#> 372   19   20 2.117286 2.163326 2.140066  0.0418866732 0.06203654 -0.048744528
#> 373   19   20 2.163326 2.205605 2.186586  0.0407527426 0.06111406 -0.048925151
#> 374   19   20 2.205605 2.246900 2.224624  0.0409401933 0.06069033 -0.047688488
#> 375   19   20 2.246900 2.293677 2.269176  0.0422047193 0.06052628 -0.044940662
#> 376   19   20 2.293677 2.343877 2.318177  0.0444649753 0.06067714 -0.045817619
#> 377   19   20 2.343877 2.403865 2.369576  0.0472538690 0.06108390 -0.045845390
#> 378   19   20 2.403865 2.496138 2.438154  0.0508030148 0.06176201 -0.045823433
#> 379   19   20 2.496138 2.627070 2.554122  0.0548897891 0.06252314 -0.038137092
#> 380   19   20 2.627070 3.622562 2.700018  0.0568720558 0.06276100 -0.035799066
#> 381   20   21 1.062245 1.699981 1.648694  0.0330889492 0.03979159 -0.013748890
#> 382   20   21 1.699981 1.775368 1.751268  0.0506394523 0.05740941 -0.018991019
#> 383   20   21 1.775368 1.835269 1.799468  0.0565398972 0.06334332 -0.023404230
#> 384   20   21 1.835269 1.892682 1.871069  0.0603722494 0.06828671 -0.031442630
#> 385   20   21 1.892682 1.933662 1.914296  0.0596699731 0.06910565 -0.037078311
#> 386   20   21 1.933662 1.972404 1.953028  0.0574469552 0.06873547 -0.037274089
#> 387   20   21 1.972404 2.008396 1.991781  0.0542155461 0.06764671 -0.041032474
#> 388   20   21 2.008396 2.041395 2.025010  0.0510839053 0.06640090 -0.042241984
#> 389   20   21 2.041395 2.076143 2.057780  0.0480484840 0.06509390 -0.044888226
#> 390   20   21 2.076143 2.117286 2.094506  0.0450880504 0.06371891 -0.046964654
#> 391   20   21 2.117286 2.163326 2.140066  0.0425066002 0.06232835 -0.048744528
#> 392   20   21 2.163326 2.205605 2.186586  0.0413820827 0.06135910 -0.048925151
#> 393   20   21 2.205605 2.246900 2.224624  0.0415736911 0.06090056 -0.047688488
#> 394   20   21 2.246900 2.293677 2.269176  0.0428401609 0.06070126 -0.044764188
#> 395   20   21 2.293677 2.343877 2.318177  0.0451008201 0.06082719 -0.041817399
#> 396   20   21 2.343877 2.403865 2.369576  0.0478902447 0.06123404 -0.042220261
#> 397   20   21 2.403865 2.496138 2.438154  0.0514415976 0.06196740 -0.040334307
#> 398   20   21 2.496138 2.627070 2.554122  0.0555267845 0.06295147 -0.036810215
#> 399   20   21 2.627070 3.622562 2.700018  0.0574691596 0.06351459 -0.035799066
#> 400   21   22 1.062245 1.699981 1.648694  0.0330052265 0.03989891 -0.015908946
#> 401   21   22 1.699981 1.775368 1.751268  0.0504921811 0.05763980 -0.020669222
#> 402   21   22 1.775368 1.835269 1.799468  0.0563706118 0.06364283 -0.024816597
#> 403   21   22 1.835269 1.892682 1.871069  0.0601953301 0.06869138 -0.032633539
#> 404   21   22 1.892682 1.933662 1.914296  0.0595066043 0.06957256 -0.039318379
#> 405   21   22 1.933662 1.972404 1.953028  0.0573066470 0.06925651 -0.040088474
#> 406   21   22 1.972404 2.008396 1.991781  0.0541058144 0.06821933 -0.041551585
#> 407   21   22 2.008396 2.041395 2.025010  0.0510032162 0.06701415 -0.046912145
#> 408   21   22 2.041395 2.076143 2.057780  0.0479958276 0.06574199 -0.046772527
#> 409   21   22 2.076143 2.117286 2.094506  0.0450624834 0.06439721 -0.046976222
#> 410   21   22 2.117286 2.163326 2.140066  0.0425034304 0.06302659 -0.048744528
#> 411   21   22 2.163326 2.205605 2.186586  0.0413853464 0.06205216 -0.048925151
#> 412   21   22 2.205605 2.246900 2.224624  0.0415694566 0.06156639 -0.047688488
#> 413   21   22 2.246900 2.293677 2.269176  0.0428144991 0.06130550 -0.044764188
#> 414   21   22 2.293677 2.343877 2.318177  0.0450401779 0.06132595 -0.041817399
#> 415   21   22 2.343877 2.403865 2.369576  0.0477858336 0.06158648 -0.042220261
#> 416   21   22 2.403865 2.496138 2.438154  0.0512757284 0.06209695 -0.040334307
#> 417   21   22 2.496138 2.627070 2.554122  0.0552635886 0.06275626 -0.036810215
#> 418   21   22 2.627070 3.622562 2.700018  0.0571141957 0.06313299 -0.034410740
#> 419   22   23 1.062245 1.699981 1.648694  0.0327308928 0.03977043 -0.018094314
#> 420   22   23 1.699981 1.775368 1.751268  0.0500991271 0.05747996 -0.020669222
#> 421   22   23 1.775368 1.835269 1.799468  0.0559469669 0.06345787 -0.024816597
#> 422   22   23 1.835269 1.892682 1.871069  0.0597738466 0.06843972 -0.032633539
#> 423   22   23 1.892682 1.933662 1.914296  0.0591172185 0.06925977 -0.039318379
#> 424   22   23 1.933662 1.972404 1.953028  0.0569649350 0.06887437 -0.040088474
#> 425   22   23 1.972404 2.008396 1.991781  0.0538269952 0.06775350 -0.041551585
#> 426   22   23 2.008396 2.041395 2.025010  0.0507873027 0.06646589 -0.041598984
#> 427   22   23 2.041395 2.076143 2.057780  0.0478466756 0.06510544 -0.044138218
#> 428   22   23 2.076143 2.117286 2.094506  0.0449893722 0.06365976 -0.045167136
#> 429   22   23 2.117286 2.163326 2.140066  0.0425193778 0.06217646 -0.043000772
#> 430   22   23 2.163326 2.205605 2.186586  0.0414786068 0.06112207 -0.041963735
#> 431   22   23 2.205605 2.246900 2.224624  0.0417118919 0.06060810 -0.041340784
#> 432   22   23 2.246900 2.293677 2.269176  0.0429969690 0.06035797 -0.038961304
#> 433   22   23 2.293677 2.343877 2.318177  0.0452463402 0.06043195 -0.040407896
#> 434   22   23 2.343877 2.403865 2.369576  0.0479989429 0.06076901 -0.035267651
#> 435   22   23 2.403865 2.496138 2.438154  0.0514813143 0.06136637 -0.037965455
#> 436   22   23 2.496138 2.627070 2.554122  0.0554467127 0.06205644 -0.033808019
#> 437   22   23 2.627070 3.622562 2.700018  0.0572833357 0.06236041 -0.033642854
#> 438   23   24 1.062245 1.699981 1.648694  0.0311376915 0.03939485 -0.018478071
#> 439   23   24 1.699981 1.775368 1.751268  0.0476864008 0.05730954 -0.024669904
#> 440   23   24 1.775368 1.835269 1.799468  0.0532140202 0.06346986 -0.025938459
#> 441   23   24 1.835269 1.892682 1.871069  0.0566924160 0.06876958 -0.034002239
#> 442   23   24 1.892682 1.933662 1.914296  0.0559021452 0.06978742 -0.039318373
#> 443   23   24 1.933662 1.972404 1.953028  0.0536739382 0.06957492 -0.040088474
#> 444   23   24 1.972404 2.008396 1.991781  0.0504941902 0.06861881 -0.044550123
#> 445   23   24 2.008396 2.041395 2.025010  0.0474395004 0.06746289 -0.048104386
#> 446   23   24 2.041395 2.076143 2.057780  0.0444972617 0.06622104 -0.050992345
#> 447   23   24 2.076143 2.117286 2.094506  0.0416474323 0.06489277 -0.047952213
#> 448   23   24 2.117286 2.163326 2.140066  0.0391914310 0.06353159 -0.049049617
#> 449   23   24 2.163326 2.205605 2.186586  0.0381619184 0.06257830 -0.049423846
#> 450   23   24 2.205605 2.246900 2.224624  0.0383985375 0.06213311 -0.050777816
#> 451   23   24 2.246900 2.293677 2.269176  0.0396800228 0.06195027 -0.048174012
#> 452   23   24 2.293677 2.343877 2.318177  0.0419184799 0.06208085 -0.050001180
#> 453   23   24 2.343877 2.403865 2.369576  0.0446569922 0.06245377 -0.049506284
#> 454   23   24 2.403865 2.496138 2.438154  0.0481257775 0.06305931 -0.044681061
#> 455   23   24 2.496138 2.627070 2.554122  0.0520957759 0.06370512 -0.041285637
#> 456   23   24 2.627070 3.622562 2.700018  0.0539635258 0.06399008 -0.033642854
#> 457   24   25 1.062245 1.699981 1.648694  0.0296395577 0.03833032 -0.018478071
#> 458   24   25 1.699981 1.775368 1.751268  0.0454758287 0.05585236 -0.024669904
#> 459   24   25 1.775368 1.835269 1.799468  0.0507371026 0.06193681 -0.025938459
#> 460   24   25 1.835269 1.892682 1.871069  0.0539300995 0.06726570 -0.034033405
#> 461   24   25 1.892682 1.933662 1.914296  0.0530260271 0.06836246 -0.039805670
#> 462   24   25 1.933662 1.972404 1.953028  0.0507252178 0.06824104 -0.046950921
#> 463   24   25 1.972404 2.008396 1.991781  0.0474937002 0.06738147 -0.048894718
#> 464   24   25 2.008396 2.041395 2.025010  0.0444066982 0.06630464 -0.049109772
#> 465   24   25 2.041395 2.076143 2.057780  0.0414403506 0.06513317 -0.053183945
#> 466   24   25 2.076143 2.117286 2.094506  0.0385698408 0.06387321 -0.053384673
#> 467   24   25 2.117286 2.163326 2.140066  0.0360939731 0.06258415 -0.049575303
#> 468   24   25 2.163326 2.205605 2.186586  0.0350470788 0.06169937 -0.049423846
#> 469   24   25 2.205605 2.246900 2.224624  0.0352689752 0.06131480 -0.050777816
#> 470   24   25 2.246900 2.293677 2.269176  0.0365294615 0.06121560 -0.048174012
#> 471   24   25 2.293677 2.343877 2.318177  0.0387362247 0.06145762 -0.050001180
#> 472   24   25 2.343877 2.403865 2.369576  0.0414280442 0.06196846 -0.049506284
#> 473   24   25 2.403865 2.496138 2.438154  0.0448110081 0.06278862 -0.044681061
#> 474   24   25 2.496138 2.627070 2.554122  0.0485975428 0.06386653 -0.043232494
#> 475   24   25 2.627070 3.622562 2.700018  0.0502737683 0.06460707 -0.034831249
#> 476   25   26 1.062245 1.699981 1.648694  0.0282841020 0.03719212 -0.018478071
#> 477   25   26 1.699981 1.775368 1.751268  0.0430831224 0.05373156 -0.026987596
#> 478   25   26 1.775368 1.835269 1.799468  0.0478270611 0.05932491 -0.031601158
#> 479   25   26 1.835269 1.892682 1.871069  0.0502998089 0.06405605 -0.039919519
#> 480   25   26 1.892682 1.933662 1.914296  0.0490158210 0.06493533 -0.045488095
#> 481   25   26 1.933662 1.972404 1.953028  0.0464193825 0.06473290 -0.049190464
#> 482   25   26 1.972404 2.008396 1.991781  0.0429369578 0.06389700 -0.053797832
#> 483   25   26 2.008396 2.041395 2.025010  0.0396700958 0.06290967 -0.053158300
#> 484   25   26 2.041395 2.076143 2.057780  0.0365564510 0.06186927 -0.054923833
#> 485   25   26 2.076143 2.117286 2.094506  0.0335530231 0.06077958 -0.059424075
#> 486   25   26 2.117286 2.163326 2.140066  0.0309527025 0.05969390 -0.060862365
#> 487   25   26 2.163326 2.205605 2.186586  0.0298153396 0.05896792 -0.060429673
#> 488   25   26 2.205605 2.246900 2.224624  0.0299834918 0.05866040 -0.059660400
#> 489   25   26 2.246900 2.293677 2.269176  0.0311967273 0.05858699 -0.054823483
#> 490   25   26 2.293677 2.343877 2.318177  0.0333633782 0.05878386 -0.052007955
#> 491   25   26 2.343877 2.403865 2.369576  0.0360194341 0.05918279 -0.050550524
#> 492   25   26 2.403865 2.496138 2.438154  0.0393562766 0.05980067 -0.048935733
#> 493   25   26 2.496138 2.627070 2.554122  0.0430515165 0.06060793 -0.046996618
#> 494   25   26 2.627070 3.622562 2.700018  0.0445790988 0.06143116 -0.038122563
#> 495   26   27 1.062245 1.699981 1.648694  0.0255561484 0.03420927 -0.018555566
#> 496   26   27 1.699981 1.775368 1.751268  0.0387438994 0.04961115 -0.031900365
#> 497   26   27 1.775368 1.835269 1.799468  0.0427831533 0.05488913 -0.033529229
#> 498   26   27 1.835269 1.892682 1.871069  0.0443662860 0.05940813 -0.043357131
#> 499   26   27 1.892682 1.933662 1.914296  0.0426466129 0.06026221 -0.048644757
#> 500   26   27 1.933662 1.972404 1.953028  0.0397186443 0.06007242 -0.050576837
#> 501   26   27 1.972404 2.008396 1.991781  0.0359504651 0.05926650 -0.054211972
#> 502   26   27 2.008396 2.041395 2.025010  0.0324671206 0.05831360 -0.058470667
#> 503   26   27 2.041395 2.076143 2.057780  0.0291593152 0.05731587 -0.058694196
#> 504   26   27 2.076143 2.117286 2.094506  0.0259549265 0.05628947 -0.060337222
#> 505   26   27 2.117286 2.163326 2.140066  0.0231227118 0.05531573 -0.061341228
#> 506   26   27 2.163326 2.205605 2.186586  0.0217638309 0.05475112 -0.062681524
#> 507   26   27 2.205605 2.246900 2.224624  0.0217616189 0.05460954 -0.060438055
#> 508   26   27 2.246900 2.293677 2.269176  0.0227888204 0.05475733 -0.059956353
#> 509   26   27 2.293677 2.343877 2.318177  0.0247696612 0.05520636 -0.058836926
#> 510   26   27 2.343877 2.403865 2.369576  0.0272526648 0.05584680 -0.057034998
#> 511   26   27 2.403865 2.496138 2.438154  0.0303885465 0.05670292 -0.056453199
#> 512   26   27 2.496138 2.627070 2.554122  0.0337860606 0.05765107 -0.054982212
#> 513   26   27 2.627070 3.622562 2.700018  0.0349695155 0.05844548 -0.060513519
#> 514   27   28 1.062245 1.699981 1.648694  0.0246917139 0.03398318 -0.018555566
#> 515   27   28 1.699981 1.775368 1.751268  0.0368721531 0.04907359 -0.032293924
#> 516   27   28 1.775368 1.835269 1.799468  0.0403329161 0.05416623 -0.039274388
#> 517   27   28 1.835269 1.892682 1.871069  0.0410434596 0.05842529 -0.046519967
#> 518   27   28 1.892682 1.933662 1.914296  0.0388388921 0.05916593 -0.051945913
#> 519   27   28 1.933662 1.972404 1.953028  0.0355255111 0.05891922 -0.054037964
#> 520   27   28 1.972404 2.008396 1.991781  0.0314266346 0.05810292 -0.056014302
#> 521   27   28 2.008396 2.041395 2.025010  0.0277049164 0.05717388 -0.059314472
#> 522   27   28 2.041395 2.076143 2.057780  0.0242009905 0.05621927 -0.063459924
#> 523   27   28 2.076143 2.117286 2.094506  0.0208180305 0.05524753 -0.067721154
#> 524   27   28 2.117286 2.163326 2.140066  0.0178146445 0.05432195 -0.071362052
#> 525   27   28 2.163326 2.205605 2.186586  0.0163244824 0.05375839 -0.073488839
#> 526   27   28 2.205605 2.246900 2.224624  0.0162375665 0.05357747 -0.074164234
#> 527   27   28 2.246900 2.293677 2.269176  0.0171819492 0.05364641 -0.074963897
#> 528   27   28 2.293677 2.343877 2.318177  0.0190832702 0.05399631 -0.075723741
#> 529   27   28 2.343877 2.403865 2.369576  0.0214892329 0.05455020 -0.070186194
#> 530   27   28 2.403865 2.496138 2.438154  0.0245283467 0.05534123 -0.066226269
#> 531   27   28 2.496138 2.627070 2.554122  0.0277867677 0.05624063 -0.060194183
#> 532   27   28 2.627070 3.622562 2.700018  0.0288681565 0.05689109 -0.064094339
#> 533   28   29 1.062245 1.699981 1.648694  0.0227570185 0.03337755 -0.021020160
#> 534   28   29 1.699981 1.775368 1.751268  0.0333576858 0.04800753 -0.033275224
#> 535   28   29 1.775368 1.835269 1.799468  0.0360109329 0.05291395 -0.039720741
#> 536   28   29 1.835269 1.892682 1.871069  0.0355735934 0.05698386 -0.046523208
#> 537   28   29 1.892682 1.933662 1.914296  0.0327480836 0.05765772 -0.052279954
#> 538   28   29 1.933662 1.972404 1.953028  0.0289395962 0.05736784 -0.059791760
#> 539   28   29 1.972404 2.008396 1.991781  0.0244076562 0.05651027 -0.061010066
#> 540   28   29 2.008396 2.041395 2.025010  0.0203642916 0.05553850 -0.065057454
#> 541   28   29 2.041395 2.076143 2.057780  0.0165864673 0.05452997 -0.072870878
#> 542   28   29 2.076143 2.117286 2.094506  0.0129445496 0.05348127 -0.074603818
#> 543   28   29 2.117286 2.163326 2.140066  0.0096842972 0.05243678 -0.076590121
#> 544   28   29 2.163326 2.205605 2.186586  0.0079968685 0.05173236 -0.078980415
#> 545   28   29 2.205605 2.246900 2.224624  0.0077907458 0.05143246 -0.079546583
#> 546   28   29 2.246900 2.293677 2.269176  0.0086358953 0.05137584 -0.079068659
#> 547   28   29 2.293677 2.343877 2.318177  0.0104685466 0.05163133 -0.077772912
#> 548   28   29 2.343877 2.403865 2.369576  0.0128362021 0.05216238 -0.075446722
#> 549   28   29 2.403865 2.496138 2.438154  0.0158581611 0.05306399 -0.070821912
#> 550   28   29 2.496138 2.627070 2.554122  0.0191230579 0.05445381 -0.076022660
#> 551   28   29 2.627070 3.622562 2.700018  0.0202153311 0.05593792 -0.077879666
#> 552   29   30 1.062245 1.699981 1.648694  0.0225333693 0.03336425 -0.024400736
#> 553   29   30 1.699981 1.775368 1.751268  0.0329046195 0.04800581 -0.037558555
#> 554   29   30 1.775368 1.835269 1.799468  0.0354235701 0.05289982 -0.043377973
#> 555   29   30 1.835269 1.892682 1.871069  0.0347683716 0.05687916 -0.048549186
#> 556   29   30 1.892682 1.933662 1.914296  0.0318062413 0.05743577 -0.055061068
#> 557   29   30 1.933662 1.972404 1.953028  0.0278746943 0.05699806 -0.060496003
#> 558   29   30 1.972404 2.008396 1.991781  0.0232204473 0.05596090 -0.061775559
#> 559   29   30 2.008396 2.041395 2.025010  0.0190737342 0.05482173 -0.065217255
#> 560   29   30 2.041395 2.076143 2.057780  0.0151960845 0.05364746 -0.072870878
#> 561   29   30 2.076143 2.117286 2.094506  0.0114455674 0.05242245 -0.074603818
#> 562   29   30 2.117286 2.163326 2.140066  0.0080565910 0.05117869 -0.076590121
#> 563   29   30 2.163326 2.205605 2.186586  0.0062454878 0.05028476 -0.078980415
#> 564   29   30 2.205605 2.246900 2.224624  0.0059439740 0.04982871 -0.079546583
#> 565   29   30 2.246900 2.293677 2.269176  0.0066827525 0.04957937 -0.079068659
#> 566   29   30 2.293677 2.343877 2.318177  0.0084024342 0.04961502 -0.077772912
#> 567   29   30 2.343877 2.403865 2.369576  0.0106522356 0.04992793 -0.075446722
#> 568   29   30 2.403865 2.496138 2.438154  0.0135113566 0.05060211 -0.070192703
#> 569   29   30 2.496138 2.627070 2.554122  0.0164700949 0.05184057 -0.070462259
#> 570   29   30 2.627070 3.622562 2.700018  0.0171266054 0.05365793 -0.077879666
#> 571   30   31 1.062245 1.699981 1.648694  0.0214262136 0.03411349 -0.029317074
#> 572   30   31 1.699981 1.775368 1.751268  0.0310865110 0.04915763 -0.045598338
#> 573   30   31 1.775368 1.835269 1.799468  0.0332953339 0.05427764 -0.053240041
#> 574   30   31 1.835269 1.892682 1.871069  0.0322848938 0.05867470 -0.066461426
#> 575   30   31 1.892682 1.933662 1.914296  0.0291911090 0.05953242 -0.066746657
#> 576   30   31 1.933662 1.972404 1.953028  0.0251984189 0.05938322 -0.069662191
#> 577   30   31 1.972404 2.008396 1.991781  0.0205319902 0.05863566 -0.074729252
#> 578   30   31 2.008396 2.041395 2.025010  0.0164062464 0.05773294 -0.081213911
#> 579   30   31 2.041395 2.076143 2.057780  0.0125686998 0.05677310 -0.086151745
#> 580   30   31 2.076143 2.117286 2.094506  0.0088742272 0.05576225 -0.089823676
#> 581   30   31 2.117286 2.163326 2.140066  0.0055520111 0.05474687 -0.090878538
#> 582   30   31 2.163326 2.205605 2.186586  0.0037858511 0.05404797 -0.089267389
#> 583   30   31 2.205605 2.246900 2.224624  0.0034939666 0.05372246 -0.087081689
#> 584   30   31 2.246900 2.293677 2.269176  0.0042096349 0.05358636 -0.084383560
#> 585   30   31 2.293677 2.343877 2.318177  0.0058656861 0.05368760 -0.079821166
#> 586   30   31 2.343877 2.403865 2.369576  0.0080191755 0.05400142 -0.076478801
#> 587   30   31 2.403865 2.496138 2.438154  0.0107335598 0.05459705 -0.076138804
#> 588   30   31 2.496138 2.627070 2.554122  0.0134921744 0.05564560 -0.078367773
#> 589   30   31 2.627070 3.622562 2.700018  0.0140359571 0.05725123 -0.083699943
#> 590   31   32 1.062245 1.699981 1.648694  0.0213306875 0.03408341 -0.029317074
#> 591   31   32 1.699981 1.775368 1.751268  0.0309584026 0.04913547 -0.045598375
#> 592   31   32 1.775368 1.835269 1.799468  0.0331642787 0.05427679 -0.053240041
#> 593   31   32 1.835269 1.892682 1.871069  0.0321662716 0.05873462 -0.067948270
#> 594   31   32 1.892682 1.933662 1.914296  0.0290844643 0.05964433 -0.069606464
#> 595   31   32 1.933662 1.972404 1.953028  0.0250983113 0.05954730 -0.070187666
#> 596   31   32 1.972404 2.008396 1.991781  0.0204267412 0.05885274 -0.075034535
#> 597   31   32 2.008396 2.041395 2.025010  0.0162809435 0.05799322 -0.081618741
#> 598   31   32 2.041395 2.076143 2.057780  0.0124043032 0.05707251 -0.086669958
#> 599   31   32 2.076143 2.117286 2.094506  0.0086385457 0.05610097 -0.090483275
#> 600   31   32 2.117286 2.163326 2.140066  0.0051837135 0.05512770 -0.090900257
#> 601   31   32 2.163326 2.205605 2.186586  0.0032334446 0.05446376 -0.089294012
#> 602   31   32 2.205605 2.246900 2.224624  0.0027609992 0.05416107 -0.087112052
#> 603   31   32 2.246900 2.293677 2.269176  0.0032429802 0.05404975 -0.084417749
#> 604   31   32 2.293677 2.343877 2.318177  0.0046326436 0.05418946 -0.081363252
#> 605   31   32 2.343877 2.403865 2.369576  0.0065179821 0.05457627 -0.078402632
#> 606   31   32 2.403865 2.496138 2.438154  0.0089229962 0.05533558 -0.082975272
#> 607   31   32 2.496138 2.627070 2.554122  0.0113237153 0.05672575 -0.082367473
#> 608   31   32 2.627070 3.622562 2.700018  0.0116280790 0.05854559 -0.089860181
#> 609   32   33 1.062245 1.699981 1.648694  0.0211115373 0.03383858 -0.029317074
#> 610   32   33 1.699981 1.775368 1.751268  0.0307745595 0.04872692 -0.039089951
#> 611   32   33 1.775368 1.835269 1.799468  0.0330379362 0.05371030 -0.046004246
#> 612   32   33 1.835269 1.892682 1.871069  0.0321489151 0.05777546 -0.055229639
#> 613   32   33 1.892682 1.933662 1.914296  0.0291287889 0.05835990 -0.060432423
#> 614   32   33 1.933662 1.972404 1.953028  0.0251846028 0.05794045 -0.070011358
#> 615   32   33 1.972404 2.008396 1.991781  0.0205362758 0.05692867 -0.075034535
#> 616   32   33 2.008396 2.041395 2.025010  0.0163925738 0.05583102 -0.081618741
#> 617   32   33 2.041395 2.076143 2.057780  0.0125007535 0.05472908 -0.086669958
#> 618   32   33 2.076143 2.117286 2.094506  0.0086977482 0.05363448 -0.090483275
#> 619   32   33 2.117286 2.163326 2.140066  0.0051690942 0.05263003 -0.092669170
#> 620   32   33 2.163326 2.205605 2.186586  0.0031162854 0.05204833 -0.092291602
#> 621   32   33 2.205605 2.246900 2.224624  0.0025434482 0.05186818 -0.090330550
#> 622   32   33 2.246900 2.293677 2.269176  0.0028930062 0.05193088 -0.086724340
#> 623   32   33 2.293677 2.343877 2.318177  0.0041226534 0.05227109 -0.083522709
#> 624   32   33 2.343877 2.403865 2.369576  0.0058276394 0.05285750 -0.084109929
#> 625   32   33 2.403865 2.496138 2.438154  0.0079779876 0.05384872 -0.083367425
#> 626   32   33 2.496138 2.627070 2.554122  0.0099470678 0.05556825 -0.086835999
#> 627   32   33 2.627070 3.622562 2.700018  0.0098422186 0.05780845 -0.091398657
#> 628   33   34 1.062245 1.699981 1.648694  0.0204292143 0.03378446 -0.029317074
#> 629   33   34 1.699981 1.775368 1.751268  0.0297270609 0.04893275 -0.040573283
#> 630   33   34 1.775368 1.835269 1.799468  0.0318057050 0.05408193 -0.050857702
#> 631   33   34 1.835269 1.892682 1.871069  0.0305924434 0.05832625 -0.067948270
#> 632   33   34 1.892682 1.933662 1.914296  0.0273258965 0.05892331 -0.069606464
#> 633   33   34 1.933662 1.972404 1.953028  0.0231177344 0.05843842 -0.074695190
#> 634   33   34 1.972404 2.008396 1.991781  0.0181614568 0.05730147 -0.085698863
#> 635   33   34 2.008396 2.041395 2.025010  0.0137205465 0.05607379 -0.088249335
#> 636   33   34 2.041395 2.076143 2.057780  0.0095102321 0.05485171 -0.089987978
#> 637   33   34 2.076143 2.117286 2.094506  0.0053282268 0.05366294 -0.091070208
#> 638   33   34 2.117286 2.163326 2.140066  0.0013122290 0.05262851 -0.095681453
#> 639   33   34 2.163326 2.205605 2.186586 -0.0012390134 0.05210665 -0.100991709
#> 640   33   34 2.205605 2.246900 2.224624 -0.0022085275 0.05201251 -0.102856061
#> 641   33   34 2.246900 2.293677 2.269176 -0.0023026460 0.05218051 -0.104283556
#> 642   33   34 2.293677 2.343877 2.318177 -0.0015292383 0.05261681 -0.102065739
#> 643   33   34 2.343877 2.403865 2.369576 -0.0002638228 0.05328361 -0.104048873
#> 644   33   34 2.403865 2.496138 2.438154  0.0013663246 0.05438429 -0.101582774
#> 645   33   34 2.496138 2.627070 2.554122  0.0026419831 0.05634377 -0.094410354
#> 646   33   34 2.627070 3.622562 2.700018  0.0019805962 0.05882475 -0.097810561
#> 647   34   35 1.062245 1.699981 1.648694  0.0193676466 0.03293317 -0.029766517
#> 648   34   35 1.699981 1.775368 1.751268  0.0278764514 0.04831890 -0.046028646
#> 649   34   35 1.775368 1.835269 1.799468  0.0295478254 0.05379062 -0.060329559
#> 650   34   35 1.835269 1.892682 1.871069  0.0277329042 0.05870662 -0.075163560
#> 651   34   35 1.892682 1.933662 1.914296  0.0241206238 0.05977829 -0.077476325
#> 652   34   35 1.933662 1.972404 1.953028  0.0196196174 0.05973621 -0.082091291
#> 653   34   35 1.972404 2.008396 1.991781  0.0143876757 0.05903616 -0.092404314
#> 654   34   35 2.008396 2.041395 2.025010  0.0097234801 0.05815740 -0.103037320
#> 655   34   35 2.041395 2.076143 2.057780  0.0053030976 0.05723521 -0.105992584
#> 656   34   35 2.076143 2.117286 2.094506  0.0008948414 0.05630700 -0.103630057
#> 657   34   35 2.117286 2.163326 2.140066 -0.0033931492 0.05546052 -0.102694107
#> 658   34   35 2.163326 2.205605 2.186586 -0.0062170026 0.05497825 -0.104829477
#> 659   34   35 2.205605 2.246900 2.224624 -0.0074070995 0.05482859 -0.105262681
#> 660   34   35 2.246900 2.293677 2.269176 -0.0077555973 0.05487530 -0.107288207
#> 661   34   35 2.293677 2.343877 2.318177 -0.0072521819 0.05515841 -0.107963084
#> 662   34   35 2.343877 2.403865 2.369576 -0.0062518896 0.05567939 -0.108739843
#> 663   34   35 2.403865 2.496138 2.438154 -0.0049393813 0.05662591 -0.113934248
#> 664   34   35 2.496138 2.627070 2.554122 -0.0041328315 0.05843026 -0.118972563
#> 665   34   35 2.627070 3.622562 2.700018 -0.0053747184 0.06124743 -0.117773128
#> 666   35   36 1.062245 1.699981 1.648694  0.0163232169 0.03153170 -0.035064936
#> 667   35   36 1.699981 1.775368 1.751268  0.0225224307 0.04690411 -0.055552768
#> 668   35   36 1.775368 1.835269 1.799468  0.0230201835 0.05283044 -0.069099706
#> 669   35   36 1.835269 1.892682 1.871069  0.0195343555 0.05909259 -0.088030534
#> 670   35   36 1.892682 1.933662 1.914296  0.0150204532 0.06131013 -0.107391001
#> 671   35   36 1.933662 1.972404 1.953028  0.0098078386 0.06242105 -0.112729422
#> 672   35   36 1.972404 2.008396 1.991781  0.0039655805 0.06290148 -0.124257123
#> 673   35   36 2.008396 2.041395 2.025010 -0.0011391181 0.06298357 -0.132569547
#> 674   35   36 2.041395 2.076143 2.057780 -0.0059215852 0.06290666 -0.139054439
#> 675   35   36 2.076143 2.117286 2.094506 -0.0106569469 0.06276000 -0.144139550
#> 676   35   36 2.117286 2.163326 2.140066 -0.0152499773 0.06261213 -0.147301647
#> 677   35   36 2.163326 2.205605 2.186586 -0.0182910682 0.06256016 -0.147414913
#> 678   35   36 2.205605 2.246900 2.224624 -0.0196029458 0.06260023 -0.148904607
#> 679   35   36 2.246900 2.293677 2.269176 -0.0200440472 0.06275021 -0.148768383
#> 680   35   36 2.293677 2.343877 2.318177 -0.0195929628 0.06307181 -0.147578769
#> 681   35   36 2.343877 2.403865 2.369576 -0.0186028821 0.06361514 -0.148850321
#> 682   35   36 2.403865 2.496138 2.438154 -0.0172488941 0.06463379 -0.148232320
#> 683   35   36 2.496138 2.627070 2.554122 -0.0162966468 0.06669532 -0.146866763
#> 684   35   36 2.627070 3.622562 2.700018 -0.0174027417 0.06976542 -0.149776102
#> 685   36   37 1.062245 1.699981 1.648694  0.0151693670 0.03181823 -0.037732727
#> 686   36   37 1.699981 1.775368 1.751268  0.0202821850 0.04783977 -0.060595830
#> 687   36   37 1.775368 1.835269 1.799468  0.0202125271 0.05430597 -0.071380358
#> 688   36   37 1.835269 1.892682 1.871069  0.0159306396 0.06168441 -0.096329819
#> 689   36   37 1.892682 1.933662 1.914296  0.0110003691 0.06472127 -0.109819015
#> 690   36   37 1.933662 1.972404 1.953028  0.0054654554 0.06660695 -0.126775847
#> 691   36   37 1.972404 2.008396 1.991781 -0.0006539162 0.06784486 -0.141253293
#> 692   36   37 2.008396 2.041395 2.025010 -0.0059667592 0.06851893 -0.152496757
#> 693   36   37 2.041395 2.076143 2.057780 -0.0109358890 0.06894248 -0.161395177
#> 694   36   37 2.076143 2.117286 2.094506 -0.0158687787 0.06923742 -0.175712270
#> 695   36   37 2.117286 2.163326 2.140066 -0.0207055491 0.06946176 -0.191938621
#> 696   36   37 2.163326 2.205605 2.186586 -0.0240102224 0.06962998 -0.202923902
#> 697   36   37 2.205605 2.246900 2.224624 -0.0255569756 0.06977820 -0.207954902
#> 698   36   37 2.246900 2.293677 2.269176 -0.0263004922 0.07002826 -0.207182072
#> 699   36   37 2.293677 2.343877 2.318177 -0.0262186537 0.07048958 -0.206537452
#> 700   36   37 2.343877 2.403865 2.369576 -0.0256567592 0.07129727 -0.206485583
#> 701   36   37 2.403865 2.496138 2.438154 -0.0249292195 0.07307899 -0.207846751
#> 702   36   37 2.496138 2.627070 2.554122 -0.0250685553 0.07828926 -0.215781521
#> 703   36   37 2.627070 3.622562 2.700018 -0.0271567578 0.08698047 -0.222697277
#>           CIMax Effect
#> 1    0.15688396       
#> 2    0.22084800       
#> 3    0.24413223       
#> 4    0.27407602       
#> 5    0.28038315       
#> 6    0.27898613       
#> 7    0.27253750       
#> 8    0.26822150       
#> 9    0.27387024       
#> 10   0.27380000       
#> 11   0.27075299       
#> 12   0.26964510       
#> 13   0.26930381       
#> 14   0.26396463       
#> 15   0.26212612       
#> 16   0.25965806       
#> 17   0.25559568       
#> 18   0.25611077       
#> 19   0.24827138       
#> 20   0.15762500       
#> 21   0.22296662       
#> 22   0.24413223       
#> 23   0.27212454       
#> 24   0.28372093       
#> 25   0.28193846       
#> 26   0.28235490       
#> 27   0.29494690       
#> 28   0.30013852       
#> 29   0.29682182       
#> 30   0.29224779       
#> 31   0.28764915       
#> 32   0.28445258       
#> 33   0.28151354       
#> 34   0.27926344       
#> 35   0.27781356       
#> 36   0.27665376       
#> 37   0.27592172       
#> 38   0.26097489       
#> 39   0.15762500       
#> 40   0.22470337       
#> 41   0.24938440       
#> 42   0.26930222       
#> 43   0.27369160       
#> 44   0.27898613       
#> 45   0.27253750       
#> 46   0.26822150       
#> 47   0.26624603       
#> 48   0.26401987       
#> 49   0.26181960       
#> 50   0.26059127       
#> 51   0.26039996       
#> 52   0.26092389       
#> 53   0.26029620       
#> 54   0.25953704       
#> 55   0.25899288       
#> 56   0.25766180       
#> 57   0.25510712       
#> 58   0.15762500       
#> 59   0.22470337       
#> 60   0.24938440       
#> 61   0.26930222       
#> 62   0.27369160       
#> 63   0.27905902       
#> 64   0.29293444       
#> 65   0.30232333       
#> 66   0.30021559       
#> 67   0.29682186       
#> 68   0.29226233       
#> 69   0.28789489       
#> 70   0.28724369       
#> 71   0.28831291       
#> 72   0.29153679       
#> 73   0.29697357       
#> 74   0.30589061       
#> 75   0.28358886       
#> 76   0.27721802       
#> 77   0.15762500       
#> 78   0.22470337       
#> 79   0.24938440       
#> 80   0.26930222       
#> 81   0.27369160       
#> 82   0.27898613       
#> 83   0.29293444       
#> 84   0.29437780       
#> 85   0.29252107       
#> 86   0.28893885       
#> 87   0.28655697       
#> 88   0.28650240       
#> 89   0.28640235       
#> 90   0.28760928       
#> 91   0.29105631       
#> 92   0.29678747       
#> 93   0.30589061       
#> 94   0.32091501       
#> 95   0.32917201       
#> 96   0.15762500       
#> 97   0.22470337       
#> 98   0.24938440       
#> 99   0.26954136       
#> 100  0.27369160       
#> 101  0.27898613       
#> 102  0.28076254       
#> 103  0.27902705       
#> 104  0.27678651       
#> 105  0.27405005       
#> 106  0.27079800       
#> 107  0.26792096       
#> 108  0.26332571       
#> 109  0.26097363       
#> 110  0.26062664       
#> 111  0.26286875       
#> 112  0.26575741       
#> 113  0.27046986       
#> 114  0.26841774       
#> 115  0.15687891       
#> 116  0.22311842       
#> 117  0.24454072       
#> 118  0.26800949       
#> 119  0.27369160       
#> 120  0.28172844       
#> 121  0.28546415       
#> 122  0.29007683       
#> 123  0.29111130       
#> 124  0.28767271       
#> 125  0.27995538       
#> 126  0.27198756       
#> 127  0.26592105       
#> 128  0.26256288       
#> 129  0.26213002       
#> 130  0.26325817       
#> 131  0.26625130       
#> 132  0.27166324       
#> 133  0.26923562       
#> 134  0.15965628       
#> 135  0.23402844       
#> 136  0.25906053       
#> 137  0.29073930       
#> 138  0.29985088       
#> 139  0.31129304       
#> 140  0.31773878       
#> 141  0.31556694       
#> 142  0.31390003       
#> 143  0.31890843       
#> 144  0.32128910       
#> 145  0.32254045       
#> 146  0.32330674       
#> 147  0.32339897       
#> 148  0.32279456       
#> 149  0.32165870       
#> 150  0.32119545       
#> 151  0.31698303       
#> 152  0.31519359       
#> 153  0.15965628       
#> 154  0.23402844       
#> 155  0.25906053       
#> 156  0.29073930       
#> 157  0.29985088       
#> 158  0.31129304       
#> 159  0.31773878       
#> 160  0.31556694       
#> 161  0.31365261       
#> 162  0.31863841       
#> 163  0.32128160       
#> 164  0.32253252       
#> 165  0.32329857       
#> 166  0.32339063       
#> 167  0.32278610       
#> 168  0.32165018       
#> 169  0.32118690       
#> 170  0.31698303       
#> 171  0.31519359       
#> 172  0.15104761       
#> 173  0.21605921       
#> 174  0.23253500       
#> 175  0.25347561       
#> 176  0.25959038       
#> 177  0.26193208       
#> 178  0.26067696       
#> 179  0.25165931       
#> 180  0.24793039       
#> 181  0.24487953       
#> 182  0.24256987       
#> 183  0.24195310       
#> 184  0.24209292       
#> 185  0.24293303       
#> 186  0.24448449       
#> 187  0.24640211       
#> 188  0.25833328       
#> 189  0.25628588       
#> 190  0.26253917       
#> 191  0.12395440       
#> 192  0.09855350       
#> 193  0.04008190       
#> 194 -0.07311439      -
#> 195 -0.15576789      -
#> 196 -0.26075806      -
#> 197 -0.35288485      -
#> 198 -0.41799571      -
#> 199 -0.48085763      -
#> 200 -0.54066743      -
#> 201 -0.59938851      -
#> 202 -0.64471292      -
#> 203 -0.67137359      -
#> 204 -0.69259012      -
#> 205 -0.70650042      -
#> 206 -0.71410040      -
#> 207 -0.71821840      -
#> 208 -0.71958361      -
#> 209 -0.71955617      -
#> 210  0.12395440       
#> 211  0.09855350       
#> 212  0.04008190       
#> 213 -0.10617499      -
#> 214 -0.21528842      -
#> 215 -0.32667978      -
#> 216 -0.45149007      -
#> 217 -0.55395883      -
#> 218 -0.64503384      -
#> 219 -0.73402532      -
#> 220 -0.82551174      -
#> 221 -0.89271866      -
#> 222 -0.92732543      -
#> 223 -0.95786142      -
#> 224 -0.98200402      -
#> 225 -0.98839968      -
#> 226 -0.98995004      -
#> 227 -0.98729384      -
#> 228 -0.98520756      -
#> 229  0.12395440       
#> 230  0.09855350       
#> 231  0.04007290       
#> 232 -0.10617499      -
#> 233 -0.21528842      -
#> 234 -0.32667978      -
#> 235 -0.45149007      -
#> 236 -0.55395883      -
#> 237 -0.64503384      -
#> 238 -0.73364815      -
#> 239 -0.82395024      -
#> 240 -0.88954189      -
#> 241 -0.92679096      -
#> 242 -0.95645397      -
#> 243 -0.97687658      -
#> 244 -0.98701958      -
#> 245 -0.98995004      -
#> 246 -0.98729384      -
#> 247 -0.98520756      -
#> 248  0.12395440       
#> 249  0.09855350       
#> 250  0.04007290       
#> 251 -0.10644808      -
#> 252 -0.21554086      -
#> 253 -0.33108627      -
#> 254 -0.45149007      -
#> 255 -0.55395883      -
#> 256 -0.64874287      -
#> 257 -0.73364815      -
#> 258 -0.83142035      -
#> 259 -0.90535329      -
#> 260 -0.94082414      -
#> 261 -0.96692110      -
#> 262 -0.98236537      -
#> 263 -0.98902551      -
#> 264 -0.99258048      -
#> 265 -0.99582715      -
#> 266 -0.98647239      -
#> 267  0.12362169       
#> 268  0.09771904       
#> 269  0.04026435       
#> 270 -0.10619286      -
#> 271 -0.21606625      -
#> 272 -0.33110990      -
#> 273 -0.45134400      -
#> 274 -0.54186910      -
#> 275 -0.63227656      -
#> 276 -0.72964133      -
#> 277 -0.81904261      -
#> 278 -0.88460782      -
#> 279 -0.92441843      -
#> 280 -0.95157060      -
#> 281 -0.96558955      -
#> 282 -0.97239075      -
#> 283 -0.97508972      -
#> 284 -0.97362169      -
#> 285 -0.98056678      -
#> 286  0.14071203       
#> 287  0.19535605       
#> 288  0.21093793       
#> 289  0.22013650       
#> 290  0.21560625       
#> 291  0.21583230       
#> 292  0.21590840       
#> 293  0.21186008       
#> 294  0.20649548       
#> 295  0.20092716       
#> 296  0.19535451       
#> 297  0.19479911       
#> 298  0.19521045       
#> 299  0.19495295       
#> 300  0.19333114       
#> 301  0.19131889       
#> 302  0.19794659       
#> 303  0.20104272       
#> 304  0.20179028       
#> 305  0.13840975       
#> 306  0.19186409       
#> 307  0.20988671       
#> 308  0.21825412       
#> 309  0.21347371       
#> 310  0.21583230       
#> 311  0.21590840       
#> 312  0.21186008       
#> 313  0.20649548       
#> 314  0.20092716       
#> 315  0.19535451       
#> 316  0.19159098       
#> 317  0.18996186       
#> 318  0.18942768       
#> 319  0.18997657       
#> 320  0.19131889       
#> 321  0.19794659       
#> 322  0.20104272       
#> 323  0.20179028       
#> 324  0.14024300       
#> 325  0.19535605       
#> 326  0.21093793       
#> 327  0.22013650       
#> 328  0.21366947       
#> 329  0.21587636       
#> 330  0.21262181       
#> 331  0.20481526       
#> 332  0.19765305       
#> 333  0.19092129       
#> 334  0.18508057       
#> 335  0.18348631       
#> 336  0.18199996       
#> 337  0.18035739       
#> 338  0.18535479       
#> 339  0.19109599       
#> 340  0.19330312       
#> 341  0.19825908       
#> 342  0.19822490       
#> 343  0.13884051       
#> 344  0.19541189       
#> 345  0.21139817       
#> 346  0.22427402       
#> 347  0.22519321       
#> 348  0.22150144       
#> 349  0.21712698       
#> 350  0.21166541       
#> 351  0.20474603       
#> 352  0.19674477       
#> 353  0.18842791       
#> 354  0.18366286       
#> 355  0.18338404       
#> 356  0.18736768       
#> 357  0.18989797       
#> 358  0.19157128       
#> 359  0.19357725       
#> 360  0.20163630       
#> 361  0.20876725       
#> 362  0.13884051       
#> 363  0.19541204       
#> 364  0.21139817       
#> 365  0.22427402       
#> 366  0.22519321       
#> 367  0.22150144       
#> 368  0.21712698       
#> 369  0.21166541       
#> 370  0.20474603       
#> 371  0.19674477       
#> 372  0.18842791       
#> 373  0.18366286       
#> 374  0.18338404       
#> 375  0.18736768       
#> 376  0.18989797       
#> 377  0.19157128       
#> 378  0.19357725       
#> 379  0.20163630       
#> 380  0.20870556       
#> 381  0.13888035       
#> 382  0.19541933       
#> 383  0.21269660       
#> 384  0.22605696       
#> 385  0.22521818       
#> 386  0.22150144       
#> 387  0.21712698       
#> 388  0.21166541       
#> 389  0.20474603       
#> 390  0.19674477       
#> 391  0.18842791       
#> 392  0.18366286       
#> 393  0.18338404       
#> 394  0.18736768       
#> 395  0.18989797       
#> 396  0.19157128       
#> 397  0.19357725       
#> 398  0.20875701       
#> 399  0.21212531       
#> 400  0.13888035       
#> 401  0.19541933       
#> 402  0.21269660       
#> 403  0.22605696       
#> 404  0.22521818       
#> 405  0.22150144       
#> 406  0.21525210       
#> 407  0.20854833       
#> 408  0.20020801       
#> 409  0.19092129       
#> 410  0.18496046       
#> 411  0.18156297       
#> 412  0.18040377       
#> 413  0.18024118       
#> 414  0.18074399       
#> 415  0.18130636       
#> 416  0.18895689       
#> 417  0.20875701       
#> 418  0.21212531       
#> 419  0.13888035       
#> 420  0.19541933       
#> 421  0.21269660       
#> 422  0.22605696       
#> 423  0.22521818       
#> 424  0.22150144       
#> 425  0.21525210       
#> 426  0.20854833       
#> 427  0.20020801       
#> 428  0.19092129       
#> 429  0.18496046       
#> 430  0.18156297       
#> 431  0.18040377       
#> 432  0.18024118       
#> 433  0.18074399       
#> 434  0.18130636       
#> 435  0.18895689       
#> 436  0.20875701       
#> 437  0.21212531       
#> 438  0.14025570       
#> 439  0.19979339       
#> 440  0.21726102       
#> 441  0.22608722       
#> 442  0.22521818       
#> 443  0.22150144       
#> 444  0.21525210       
#> 445  0.20854833       
#> 446  0.20168146       
#> 447  0.20086543       
#> 448  0.19539129       
#> 449  0.19164174       
#> 450  0.18995974       
#> 451  0.18934079       
#> 452  0.18989030       
#> 453  0.19123652       
#> 454  0.19324732       
#> 455  0.20968492       
#> 456  0.21521877       
#> 457  0.14025570       
#> 458  0.19979339       
#> 459  0.21726102       
#> 460  0.22608722       
#> 461  0.22512808       
#> 462  0.21971304       
#> 463  0.21526966       
#> 464  0.20852271       
#> 465  0.20163048       
#> 466  0.19853429       
#> 467  0.19354537       
#> 468  0.19088405       
#> 469  0.19014528       
#> 470  0.19030047       
#> 471  0.19098953       
#> 472  0.19163023       
#> 473  0.19179885       
#> 474  0.20969006       
#> 475  0.21521877       
#> 476  0.14025570       
#> 477  0.19541933       
#> 478  0.21345918       
#> 479  0.22018185       
#> 480  0.21022148       
#> 481  0.19775394       
#> 482  0.18419528       
#> 483  0.17326314       
#> 484  0.16977651       
#> 485  0.17002975       
#> 486  0.17261917       
#> 487  0.17458945       
#> 488  0.17405342       
#> 489  0.17193739       
#> 490  0.17111145       
#> 491  0.17135720       
#> 492  0.17865093       
#> 493  0.18261429       
#> 494  0.18592726       
#> 495  0.10221130       
#> 496  0.15254023       
#> 497  0.16817121       
#> 498  0.18056001       
#> 499  0.18148256       
#> 500  0.17708619       
#> 501  0.16483284       
#> 502  0.16129192       
#> 503  0.15660383       
#> 504  0.15360334       
#> 505  0.15106379       
#> 506  0.14758501       
#> 507  0.14417596       
#> 508  0.14274481       
#> 509  0.15247763       
#> 510  0.15654976       
#> 511  0.16449703       
#> 512  0.16951786       
#> 513  0.17136909       
#> 514  0.09503767       
#> 515  0.15254023       
#> 516  0.16708546       
#> 517  0.17635636       
#> 518  0.17488545       
#> 519  0.16981673       
#> 520  0.16382293       
#> 521  0.15497888       
#> 522  0.15473509       
#> 523  0.14796121       
#> 524  0.13849370       
#> 525  0.13243385       
#> 526  0.13302594       
#> 527  0.13931395       
#> 528  0.13418004       
#> 529  0.14043688       
#> 530  0.14939400       
#> 531  0.15537630       
#> 532  0.15731358       
#> 533  0.09503424       
#> 534  0.14315068       
#> 535  0.15394512       
#> 536  0.16451548       
#> 537  0.16710921       
#> 538  0.16404164       
#> 539  0.15665788       
#> 540  0.14769773       
#> 541  0.13741795       
#> 542  0.12863086       
#> 543  0.12211992       
#> 544  0.12184023       
#> 545  0.12313417       
#> 546  0.12589354       
#> 547  0.13053849       
#> 548  0.13419599       
#> 549  0.13962042       
#> 550  0.14674011       
#> 551  0.15348567       
#> 552  0.09503424       
#> 553  0.14315068       
#> 554  0.14845670       
#> 555  0.16748922       
#> 556  0.17159282       
#> 557  0.16964549       
#> 558  0.16217186       
#> 559  0.15134260       
#> 560  0.13890718       
#> 561  0.12888813       
#> 562  0.12215141       
#> 563  0.11794939       
#> 564  0.11207969       
#> 565  0.11517344       
#> 566  0.12174520       
#> 567  0.12666278       
#> 568  0.12871199       
#> 569  0.13040986       
#> 570  0.13015778       
#> 571  0.09503424       
#> 572  0.14315068       
#> 573  0.14845670       
#> 574  0.16748922       
#> 575  0.17159282       
#> 576  0.16964549       
#> 577  0.16217186       
#> 578  0.15134260       
#> 579  0.13890718       
#> 580  0.12614441       
#> 581  0.12143813       
#> 582  0.12090485       
#> 583  0.12417527       
#> 584  0.12792286       
#> 585  0.13139567       
#> 586  0.13379359       
#> 587  0.13737353       
#> 588  0.13568017       
#> 589  0.14095657       
#> 590  0.09503424       
#> 591  0.14315068       
#> 592  0.14845670       
#> 593  0.16748922       
#> 594  0.17159282       
#> 595  0.16964549       
#> 596  0.16217186       
#> 597  0.15134260       
#> 598  0.13890718       
#> 599  0.12614441       
#> 600  0.12143813       
#> 601  0.12090485       
#> 602  0.12417527       
#> 603  0.12851327       
#> 604  0.13141457       
#> 605  0.13383914       
#> 606  0.13753541       
#> 607  0.14322414       
#> 608  0.14808666       
#> 609  0.09503424       
#> 610  0.14315068       
#> 611  0.14845670       
#> 612  0.16748922       
#> 613  0.17159282       
#> 614  0.16964549       
#> 615  0.16217186       
#> 616  0.15134260       
#> 617  0.13890718       
#> 618  0.12614441       
#> 619  0.11768536       
#> 620  0.11799005       
#> 621  0.12175408       
#> 622  0.12792286       
#> 623  0.13053265       
#> 624  0.13323727       
#> 625  0.13464373       
#> 626  0.13261534       
#> 627  0.12966988       
#> 628  0.09502131       
#> 629  0.14307642       
#> 630  0.14830756       
#> 631  0.16161702       
#> 632  0.15201888       
#> 633  0.13727759       
#> 634  0.12939839       
#> 635  0.12605604       
#> 636  0.12379735       
#> 637  0.12037904       
#> 638  0.11333191       
#> 639  0.11023418       
#> 640  0.10788849       
#> 641  0.10751393       
#> 642  0.10614833       
#> 643  0.10771712       
#> 644  0.11267645       
#> 645  0.12224082       
#> 646  0.11478784       
#> 647  0.09273074       
#> 648  0.12609340       
#> 649  0.14695658       
#> 650  0.14637494       
#> 651  0.14013724       
#> 652  0.13160970       
#> 653  0.12251997       
#> 654  0.11797836       
#> 655  0.11526267       
#> 656  0.11237422       
#> 657  0.10927004       
#> 658  0.10673236       
#> 659  0.10523320       
#> 660  0.10459606       
#> 661  0.10588301       
#> 662  0.10555437       
#> 663  0.10571646       
#> 664  0.10397493       
#> 665  0.11075586       
#> 666  0.09223323       
#> 667  0.12517348       
#> 668  0.13503910       
#> 669  0.13991521       
#> 670  0.13478389       
#> 671  0.12939079       
#> 672  0.12038190       
#> 673  0.11704380       
#> 674  0.11132914       
#> 675  0.10627361       
#> 676  0.10651111       
#> 677  0.10673236       
#> 678  0.10523320       
#> 679  0.10385550       
#> 680  0.10366766       
#> 681  0.10199032       
#> 682  0.09850734       
#> 683  0.09950853       
#> 684  0.10822640       
#> 685  0.09223589       
#> 686  0.12517184       
#> 687  0.13499801       
#> 688  0.13997287       
#> 689  0.13481762       
#> 690  0.13089268       
#> 691  0.12148866       
#> 692  0.11921295       
#> 693  0.11697250       
#> 694  0.11474551       
#> 695  0.11265294       
#> 696  0.10910979       
#> 697  0.10954965       
#> 698  0.10926206       
#> 699  0.10768724       
#> 700  0.10203420       
#> 701  0.10022791       
#> 702  0.10391853       
#> 703  0.10992143       
#> 
#> $matfit
#>                        [,1]       [,2]       [,3]       [,4]       [,5]
#> 1.64869392029419 0.04584512 0.04605607 0.04631693 0.04673034 0.04876195
#> 1.75126810787332 0.07472683 0.07507519 0.07568363 0.07769915 0.08105683
#> 1.79946777896389 0.08685651 0.08727179 0.08813160 0.09158776 0.09557242
#> 1.87106930768594 0.09966494 0.10017099 0.10151303 0.10808423 0.11292095
#> 1.91429554166968 0.10345458 0.10400699 0.10569078 0.11465925 0.11994370
#> 1.95302761682418 0.10423279 0.10482187 0.10683038 0.11818281 0.12382140
#> 1.99178060312141 0.10282312 0.10344753 0.10578637 0.11963891 0.12558946
#> 2.02501049762032 0.10025452 0.10091230 0.10353148 0.11952980 0.12571847
#> 2.05778004489866 0.09690391 0.09760192 0.10049189 0.11853347 0.12493614
#> 2.09450607114123 0.09268194 0.09343905 0.09662754 0.11679970 0.12342626
#> 2.14006616349627 0.08748611 0.08834424 0.09190822 0.11440411 0.12130171
#> 2.18658617913116 0.08289609 0.08389286 0.08787274 0.11232391 0.11951397
#> 2.22462355152433 0.07993438 0.08106892 0.08543637 0.11117333 0.11863222
#> 2.26917603086292 0.07738258 0.07869830 0.08359473 0.11051445 0.11834147
#> 2.31817718775388 0.07548872 0.07701384 0.08259292 0.11047683 0.11879788
#> 2.36957596181032 0.07411576 0.07585380 0.08223939 0.11084165 0.11980929
#> 2.43815433799455 0.07255942 0.07454685 0.08204845 0.11127908 0.12137226
#> 2.55412171880947 0.06931823 0.07161552 0.08065158 0.11043423 0.12332936
#> 2.70001802940495 0.06422580 0.06677778 0.07662030 0.10667614 0.12455898
#>                        [,6]       [,7]       [,8]       [,9]        [,10]
#> 1.64869392029419 0.04878726 0.04941679 0.05396575 0.05353463  0.049277800
#> 1.75126810787332 0.08053874 0.08161536 0.08822056 0.08721563  0.072340052
#> 1.79946777896389 0.09460925 0.09590733 0.10320401 0.10177693  0.077765559
#> 1.87106930768594 0.11112993 0.11274836 0.12061692 0.11836923  0.075170855
#> 1.91429554166968 0.11761134 0.11941596 0.12737343 0.12453976  0.067023157
#> 1.95302761682418 0.12101439 0.12298354 0.13088459 0.12749501  0.056138340
#> 1.99178060312141 0.12234094 0.12447607 0.13222325 0.12827573  0.042879378
#> 2.02501049762032 0.12213028 0.12441185 0.13197484 0.12756898  0.030569204
#> 2.05778004489866 0.12105428 0.12348634 0.13084207 0.12601942  0.018425028
#> 2.09450607114123 0.11926641 0.12187636 0.12899227 0.12376006  0.005694484
#> 2.14006616349627 0.11686992 0.11971536 0.12655351 0.12091492 -0.007704473
#> 2.18658617913116 0.11487930 0.11798037 0.12458518 0.11865599 -0.017881826
#> 2.22462355152433 0.11387869 0.11719618 0.12365935 0.11758234 -0.023488826
#> 2.26917603086292 0.11349020 0.11706262 0.12341889 0.11725893 -0.027322076
#> 2.31817718775388 0.11387306 0.11771714 0.12402332 0.11786239 -0.028940965
#> 2.36957596181032 0.11482074 0.11892725 0.12524289 0.11915241 -0.028808931
#> 2.43815433799455 0.11626927 0.12067201 0.12706955 0.12113335 -0.027395630
#> 2.55412171880947 0.11778489 0.12252303 0.12914240 0.12347112 -0.025094402
#> 2.70001802940495 0.11790886 0.12282249 0.12968137 0.12417557 -0.023990461
#>                        [,11]       [,12]       [,13]       [,14]       [,15]
#> 1.64869392029419  0.01906293  0.01859221  0.01861258  0.01764051  0.01760062
#> 1.75126810787332 -0.03493095 -0.03685806 -0.03694153 -0.03857883 -0.03843920
#> 1.79946777896389 -0.09647831 -0.09977119 -0.09992871 -0.10189590 -0.10154099
#> 1.87106930768594 -0.24056054 -0.24691874 -0.24719433 -0.24962795 -0.24875421
#> 1.91429554166968 -0.35468092 -0.36345768 -0.36379728 -0.36648232 -0.36519023
#> 1.95302761682418 -0.46818063 -0.47938505 -0.47977118 -0.48265483 -0.48094264
#> 1.99178060312141 -0.58566023 -0.59941128 -0.59983070 -0.60288497 -0.60073438
#> 2.02501049762032 -0.68418245 -0.70010023 -0.70053646 -0.70371433 -0.70119313
#> 2.05778004489866 -0.77510298 -0.79304766 -0.79348971 -0.79676998 -0.79390374
#> 2.09450607114123 -0.86576328 -0.88575564 -0.88619209 -0.88956661 -0.88635217
#> 2.14006616349627 -0.95782735 -0.97992127 -0.98033504 -0.98380190 -0.98022703
#> 2.18658617913116 -1.02719395 -1.05086803 -1.05124443 -1.05478572 -1.05093116
#> 2.22462355152433 -1.06683802 -1.09138641 -1.09172495 -1.09531868 -1.09129879
#> 2.26917603086292 -1.09721013 -1.12236214 -1.12265188 -1.12630446 -1.12215423
#> 2.31817718775388 -1.11586135 -1.14126030 -1.14149504 -1.14521668 -1.14098781
#> 2.36957596181032 -1.12485352 -1.15018380 -1.15036249 -1.15416738 -1.14991232
#> 2.43815433799455 -1.12831445 -1.15326433 -1.15337082 -1.15730424 -1.15307884
#> 2.55412171880947 -1.12769478 -1.15184579 -1.15181428 -1.15596218 -1.15188090
#> 2.70001802940495 -1.12676338 -1.15028906 -1.15001649 -1.15429802 -1.15040620
#>                       [,16]      [,17]      [,18]      [,19]      [,20]
#> 1.64869392029419 0.03678616 0.03595631 0.03503934 0.03399224 0.03282196
#> 1.75126810787332 0.05703811 0.05591414 0.05420274 0.05215800 0.05025025
#> 1.79946777896389 0.06411102 0.06295561 0.06086260 0.05835522 0.05610445
#> 1.87106930768594 0.06919895 0.06816885 0.06559465 0.06259010 0.05988249
#> 1.91429554166968 0.06887189 0.06801195 0.06522448 0.06209152 0.05915331
#> 1.95302761682418 0.06672454 0.06606237 0.06314003 0.06001820 0.05690832
#> 1.99178060312141 0.06334366 0.06290464 0.05989932 0.05690209 0.05365628
#> 2.02501049762032 0.05993502 0.05969323 0.05665471 0.05384080 0.05050803
#> 2.05778004489866 0.05652504 0.05647149 0.05343050 0.05084909 0.04745754
#> 2.09450607114123 0.05306576 0.05320483 0.05019154 0.04790850 0.04448237
#> 2.14006616349627 0.04981060 0.05014979 0.04720669 0.04531187 0.04188667
#> 2.18658617913116 0.04799721 0.04849058 0.04564865 0.04413130 0.04075274
#> 2.22462355152433 0.04765583 0.04823951 0.04549382 0.04425096 0.04094019
#> 2.26917603086292 0.04835055 0.04900616 0.04637914 0.04540900 0.04220472
#> 2.31817718775388 0.05005472 0.05075856 0.04825855 0.04752926 0.04446498
#> 2.36957596181032 0.05234045 0.05307292 0.05069161 0.05016126 0.04725387
#> 2.43815433799455 0.05534077 0.05609333 0.05383607 0.05351598 0.05080301
#> 2.55412171880947 0.05880497 0.05957327 0.05743529 0.05740165 0.05488979
#> 2.70001802940495 0.06048764 0.06126362 0.05917174 0.05940107 0.05687206
#>                       [,21]      [,22]      [,23]      [,24]      [,25]
#> 1.64869392029419 0.03308895 0.03300523 0.03273089 0.03113769 0.02963956
#> 1.75126810787332 0.05063945 0.05049218 0.05009913 0.04768640 0.04547583
#> 1.79946777896389 0.05653990 0.05637061 0.05594697 0.05321402 0.05073710
#> 1.87106930768594 0.06037225 0.06019533 0.05977385 0.05669242 0.05393010
#> 1.91429554166968 0.05966997 0.05950660 0.05911722 0.05590215 0.05302603
#> 1.95302761682418 0.05744696 0.05730665 0.05696493 0.05367394 0.05072522
#> 1.99178060312141 0.05421555 0.05410581 0.05382700 0.05049419 0.04749370
#> 2.02501049762032 0.05108391 0.05100322 0.05078730 0.04743950 0.04440670
#> 2.05778004489866 0.04804848 0.04799583 0.04784668 0.04449726 0.04144035
#> 2.09450607114123 0.04508805 0.04506248 0.04498937 0.04164743 0.03856984
#> 2.14006616349627 0.04250660 0.04250343 0.04251938 0.03919143 0.03609397
#> 2.18658617913116 0.04138208 0.04138535 0.04147861 0.03816192 0.03504708
#> 2.22462355152433 0.04157369 0.04156946 0.04171189 0.03839854 0.03526898
#> 2.26917603086292 0.04284016 0.04281450 0.04299697 0.03968002 0.03652946
#> 2.31817718775388 0.04510082 0.04504018 0.04524634 0.04191848 0.03873622
#> 2.36957596181032 0.04789024 0.04778583 0.04799894 0.04465699 0.04142804
#> 2.43815433799455 0.05144160 0.05127573 0.05148131 0.04812578 0.04481101
#> 2.55412171880947 0.05552678 0.05526359 0.05544671 0.05209578 0.04859754
#> 2.70001802940495 0.05746916 0.05711420 0.05728334 0.05396353 0.05027377
#>                       [,26]      [,27]      [,28]       [,29]       [,30]
#> 1.64869392029419 0.02828410 0.02555615 0.02469171 0.022757018 0.022533369
#> 1.75126810787332 0.04308312 0.03874390 0.03687215 0.033357686 0.032904620
#> 1.79946777896389 0.04782706 0.04278315 0.04033292 0.036010933 0.035423570
#> 1.87106930768594 0.05029981 0.04436629 0.04104346 0.035573593 0.034768372
#> 1.91429554166968 0.04901582 0.04264661 0.03883889 0.032748084 0.031806241
#> 1.95302761682418 0.04641938 0.03971864 0.03552551 0.028939596 0.027874694
#> 1.99178060312141 0.04293696 0.03595047 0.03142663 0.024407656 0.023220447
#> 2.02501049762032 0.03967010 0.03246712 0.02770492 0.020364292 0.019073734
#> 2.05778004489866 0.03655645 0.02915932 0.02420099 0.016586467 0.015196085
#> 2.09450607114123 0.03355302 0.02595493 0.02081803 0.012944550 0.011445567
#> 2.14006616349627 0.03095270 0.02312271 0.01781464 0.009684297 0.008056591
#> 2.18658617913116 0.02981534 0.02176383 0.01632448 0.007996869 0.006245488
#> 2.22462355152433 0.02998349 0.02176162 0.01623757 0.007790746 0.005943974
#> 2.26917603086292 0.03119673 0.02278882 0.01718195 0.008635895 0.006682753
#> 2.31817718775388 0.03336338 0.02476966 0.01908327 0.010468547 0.008402434
#> 2.36957596181032 0.03601943 0.02725266 0.02148923 0.012836202 0.010652236
#> 2.43815433799455 0.03935628 0.03038855 0.02452835 0.015858161 0.013511357
#> 2.55412171880947 0.04305152 0.03378606 0.02778677 0.019123058 0.016470095
#> 2.70001802940495 0.04457910 0.03496952 0.02886816 0.020215331 0.017126605
#>                        [,31]       [,32]       [,33]         [,34]
#> 1.64869392029419 0.021426214 0.021330688 0.021111537  0.0204292143
#> 1.75126810787332 0.031086511 0.030958403 0.030774560  0.0297270609
#> 1.79946777896389 0.033295334 0.033164279 0.033037936  0.0318057050
#> 1.87106930768594 0.032284894 0.032166272 0.032148915  0.0305924434
#> 1.91429554166968 0.029191109 0.029084464 0.029128789  0.0273258965
#> 1.95302761682418 0.025198419 0.025098311 0.025184603  0.0231177344
#> 1.99178060312141 0.020531990 0.020426741 0.020536276  0.0181614568
#> 2.02501049762032 0.016406246 0.016280943 0.016392574  0.0137205465
#> 2.05778004489866 0.012568700 0.012404303 0.012500754  0.0095102321
#> 2.09450607114123 0.008874227 0.008638546 0.008697748  0.0053282268
#> 2.14006616349627 0.005552011 0.005183714 0.005169094  0.0013122290
#> 2.18658617913116 0.003785851 0.003233445 0.003116285 -0.0012390134
#> 2.22462355152433 0.003493967 0.002760999 0.002543448 -0.0022085275
#> 2.26917603086292 0.004209635 0.003242980 0.002893006 -0.0023026460
#> 2.31817718775388 0.005865686 0.004632644 0.004122653 -0.0015292383
#> 2.36957596181032 0.008019175 0.006517982 0.005827639 -0.0002638228
#> 2.43815433799455 0.010733560 0.008922996 0.007977988  0.0013663246
#> 2.55412171880947 0.013492174 0.011323715 0.009947068  0.0026419831
#> 2.70001802940495 0.014035957 0.011628079 0.009842219  0.0019805962
#>                          [,35]        [,36]         [,37]
#> 1.64869392029419  0.0193676466  0.016323217  0.0151693670
#> 1.75126810787332  0.0278764514  0.022522431  0.0202821850
#> 1.79946777896389  0.0295478254  0.023020183  0.0202125271
#> 1.87106930768594  0.0277329042  0.019534355  0.0159306396
#> 1.91429554166968  0.0241206238  0.015020453  0.0110003691
#> 1.95302761682418  0.0196196174  0.009807839  0.0054654554
#> 1.99178060312141  0.0143876757  0.003965581 -0.0006539162
#> 2.02501049762032  0.0097234801 -0.001139118 -0.0059667592
#> 2.05778004489866  0.0053030976 -0.005921585 -0.0109358890
#> 2.09450607114123  0.0008948414 -0.010656947 -0.0158687787
#> 2.14006616349627 -0.0033931492 -0.015249977 -0.0207055491
#> 2.18658617913116 -0.0062170026 -0.018291068 -0.0240102224
#> 2.22462355152433 -0.0074070995 -0.019602946 -0.0255569756
#> 2.26917603086292 -0.0077555973 -0.020044047 -0.0263004922
#> 2.31817718775388 -0.0072521819 -0.019592963 -0.0262186537
#> 2.36957596181032 -0.0062518896 -0.018602882 -0.0256567592
#> 2.43815433799455 -0.0049393813 -0.017248894 -0.0249292195
#> 2.55412171880947 -0.0041328315 -0.016296647 -0.0250685553
#> 2.70001802940495 -0.0053747184 -0.017402742 -0.0271567578
#> 
#> $cilower
#>                          [,1]         [,2]         [,3]         [,4]
#> 1.64869392029419 -0.005933553 -0.005933553 -0.005933553 -0.006229762
#> 1.75126810787332 -0.012520062 -0.012520062 -0.012669820 -0.009631761
#> 1.79946777896389 -0.018637023 -0.018637023 -0.021943176 -0.009179163
#> 1.87106930768594 -0.041726104 -0.030611322 -0.048722923 -0.011863637
#> 1.91429554166968 -0.048507356 -0.042898205 -0.055101143 -0.011993345
#> 1.95302761682418 -0.062378326 -0.045084582 -0.072059381 -0.011628524
#> 1.99178060312141 -0.077397870 -0.051684985 -0.091534377 -0.017302634
#> 2.02501049762032 -0.090077359 -0.064309334 -0.104478813 -0.014631452
#> 2.05778004489866 -0.101811986 -0.069687192 -0.124536661 -0.012741988
#> 2.09450607114123 -0.123342866 -0.092108142 -0.143155881 -0.013600172
#> 2.14006616349627 -0.137509646 -0.116650967 -0.175663188 -0.022661575
#> 2.18658617913116 -0.141899796 -0.135770282 -0.184960259 -0.028898665
#> 2.22462355152433 -0.146291469 -0.141499094 -0.188916371 -0.031089901
#> 2.26917603086292 -0.147800541 -0.140802388 -0.190307141 -0.033060706
#> 2.31817718775388 -0.145677314 -0.139321898 -0.189033679 -0.033925657
#> 2.36957596181032 -0.142875298 -0.137403029 -0.185931354 -0.034281836
#> 2.43815433799455 -0.140169249 -0.134985655 -0.180815406 -0.032553069
#> 2.55412171880947 -0.141970299 -0.126381938 -0.172943435 -0.043078014
#> 2.70001802940495 -0.142938199 -0.134882440 -0.167015453 -0.061007141
#>                          [,5]         [,6]         [,7]         [,8]
#> 1.64869392029419 -0.005684666 -0.006238762 -0.006236958 -0.000832610
#> 1.75126810787332 -0.008759303 -0.008759303 -0.009631761 -0.003872626
#> 1.79946777896389 -0.007608806 -0.007608806 -0.006376831 -0.006336346
#> 1.87106930768594 -0.007139335 -0.010949103 -0.010949103 -0.010797869
#> 1.91429554166968 -0.008077554 -0.011835860 -0.011804019 -0.011804019
#> 1.95302761682418 -0.011399794 -0.011531769 -0.011087906 -0.011087906
#> 1.99178060312141 -0.011975758 -0.012029454 -0.010687648 -0.010687648
#> 2.02501049762032 -0.013193457 -0.013371479 -0.011172077 -0.011172077
#> 2.05778004489866 -0.012451502 -0.014337762 -0.012451502 -0.014159844
#> 2.09450607114123 -0.013337476 -0.014897354 -0.013337476 -0.014736076
#> 2.14006616349627 -0.014471946 -0.014753960 -0.013386342 -0.014652940
#> 2.18658617913116 -0.013482504 -0.014544441 -0.013405142 -0.014417387
#> 2.22462355152433 -0.014261518 -0.019936414 -0.014482586 -0.019757948
#> 2.26917603086292 -0.016051053 -0.024450784 -0.021213747 -0.023699651
#> 2.31817718775388 -0.016373350 -0.027566405 -0.026811542 -0.020876373
#> 2.36957596181032 -0.015498493 -0.029990473 -0.029209595 -0.020278791
#> 2.43815433799455 -0.013363280 -0.030130813 -0.029213114 -0.018192886
#> 2.55412171880947 -0.008677194 -0.026934687 -0.019279965 -0.020313462
#> 2.70001802940495 -0.001173507 -0.018583771 -0.004642118 -0.011044416
#>                          [,9]       [,10]       [,11]       [,12]       [,13]
#> 1.64869392029419 -0.001724467 -0.00674017 -0.04007828 -0.04007828 -0.03974877
#> 1.75126810787332 -0.009642251 -0.03548523 -0.13167836 -0.13167836 -0.13167836
#> 1.79946777896389 -0.010883027 -0.06685784 -0.21259027 -0.21258813 -0.21258813
#> 1.87106930768594 -0.011821433 -0.16003111 -0.37321304 -0.37302589 -0.37302589
#> 1.91429554166968 -0.013101582 -0.22811839 -0.49643350 -0.49643350 -0.49643350
#> 1.95302761682418 -0.016165946 -0.29623122 -0.61995269 -0.61995269 -0.62135275
#> 1.99178060312141 -0.023161335 -0.36735822 -0.74046609 -0.74046609 -0.74046609
#> 2.02501049762032 -0.026841894 -0.42762605 -0.83694493 -0.83694493 -0.83694493
#> 2.05778004489866 -0.030261722 -0.48385225 -0.93014039 -0.93014039 -0.93014039
#> 2.09450607114123 -0.033689135 -0.54109119 -1.03121790 -1.02972741 -1.02971083
#> 2.14006616349627 -0.037120982 -0.60060598 -1.12332832 -1.12676736 -1.12676736
#> 2.18658617913116 -0.039522748 -0.64642444 -1.19055361 -1.19687231 -1.19687231
#> 2.22462355152433 -0.040775434 -0.67327119 -1.22958831 -1.23127378 -1.23127378
#> 2.26917603086292 -0.041618754 -0.69463708 -1.26292952 -1.26292952 -1.26292952
#> 2.31817718775388 -0.041986251 -0.70862465 -1.27720428 -1.27720428 -1.27720428
#> 2.36957596181032 -0.041931884 -0.71622385 -1.28338445 -1.28338445 -1.28338445
#> 2.43815433799455 -0.041066323 -0.72025782 -1.28634382 -1.28607254 -1.28032904
#> 2.55412171880947 -0.038973912 -0.72140576 -1.29007526 -1.28978293 -1.28991025
#> 2.70001802940495 -0.041241785 -0.72110004 -1.29144011 -1.29114195 -1.29148923
#>                        [,14]       [,15]        [,16]        [,17]        [,18]
#> 1.64869392029419 -0.04031252 -0.04054963 -0.007134841 -0.007079988 -0.007622146
#> 1.75126810787332 -0.13191908 -0.13179556 -0.016964566 -0.016824333 -0.017452839
#> 1.79946777896389 -0.21422586 -0.21364927 -0.023046110 -0.021394561 -0.023557029
#> 1.87106930768594 -0.38065546 -0.38234269 -0.032394703 -0.031940094 -0.032394703
#> 1.91429554166968 -0.50417360 -0.50825635 -0.036703571 -0.034516828 -0.037078311
#> 1.95302761682418 -0.62223938 -0.63146065 -0.038058226 -0.036799545 -0.039106879
#> 1.99178060312141 -0.74786774 -0.75526735 -0.041398445 -0.039253729 -0.041032474
#> 2.02501049762032 -0.85639132 -0.85697702 -0.045583380 -0.040967751 -0.041574403
#> 2.05778004489866 -0.94707850 -0.95067685 -0.047210177 -0.041325941 -0.044236693
#> 2.09450607114123 -1.03476630 -1.04300676 -0.055689812 -0.040750034 -0.046819007
#> 2.14006616349627 -1.13458308 -1.13475971 -0.058212940 -0.041028992 -0.042498584
#> 2.18658617913116 -1.20323119 -1.20343330 -0.056615527 -0.040674864 -0.042145577
#> 2.22462355152433 -1.23937208 -1.24119014 -0.052604542 -0.039994315 -0.042366838
#> 2.26917603086292 -1.26693240 -1.27042971 -0.045676847 -0.041730872 -0.044126650
#> 2.31817718775388 -1.28099054 -1.28864623 -0.049013648 -0.038850802 -0.040451844
#> 2.36957596181032 -1.29139952 -1.29558769 -0.049984112 -0.038712244 -0.043988391
#> 2.43815433799455 -1.29636732 -1.29652517 -0.053449138 -0.037825414 -0.042463858
#> 2.55412171880947 -1.29653394 -1.29591907 -0.054223241 -0.035879523 -0.036144113
#> 2.70001802940495 -1.30448005 -1.29992298 -0.037206826 -0.033597200 -0.035595597
#>                         [,19]       [,20]       [,21]       [,22]       [,23]
#> 1.64869392029419 -0.007622146 -0.01374889 -0.01374889 -0.01590895 -0.01809431
#> 1.75126810787332 -0.017452839 -0.01899102 -0.01899102 -0.02066922 -0.02066922
#> 1.79946777896389 -0.023557029 -0.02340423 -0.02340423 -0.02481660 -0.02481660
#> 1.87106930768594 -0.032394703 -0.03217398 -0.03144263 -0.03263354 -0.03263354
#> 1.91429554166968 -0.039300549 -0.03930055 -0.03707831 -0.03931838 -0.03931838
#> 1.95302761682418 -0.040013003 -0.04001300 -0.03727409 -0.04008847 -0.04008847
#> 1.99178060312141 -0.041500273 -0.04150027 -0.04103247 -0.04155159 -0.04155159
#> 2.02501049762032 -0.046914027 -0.04691403 -0.04224198 -0.04691214 -0.04159898
#> 2.05778004489866 -0.048370507 -0.04837051 -0.04488823 -0.04677253 -0.04413822
#> 2.09450607114123 -0.047272384 -0.04727238 -0.04696465 -0.04697622 -0.04516714
#> 2.14006616349627 -0.047289617 -0.04874453 -0.04874453 -0.04874453 -0.04300077
#> 2.18658617913116 -0.046462027 -0.04892515 -0.04892515 -0.04892515 -0.04196373
#> 2.22462355152433 -0.045963525 -0.04768849 -0.04768849 -0.04768849 -0.04134078
#> 2.26917603086292 -0.044764188 -0.04494066 -0.04476419 -0.04476419 -0.03896130
#> 2.31817718775388 -0.043586880 -0.04581762 -0.04181740 -0.04181740 -0.04040790
#> 2.36957596181032 -0.045207205 -0.04584539 -0.04222026 -0.04222026 -0.03526765
#> 2.43815433799455 -0.044727105 -0.04582343 -0.04033431 -0.04033431 -0.03796546
#> 2.55412171880947 -0.036728269 -0.03813709 -0.03681022 -0.03681022 -0.03380802
#> 2.70001802940495 -0.032558351 -0.03579907 -0.03579907 -0.03441074 -0.03364285
#>                        [,24]       [,25]       [,26]       [,27]       [,28]
#> 1.64869392029419 -0.01847807 -0.01847807 -0.01847807 -0.01855557 -0.01855557
#> 1.75126810787332 -0.02466990 -0.02466990 -0.02698760 -0.03190036 -0.03229392
#> 1.79946777896389 -0.02593846 -0.02593846 -0.03160116 -0.03352923 -0.03927439
#> 1.87106930768594 -0.03400224 -0.03403340 -0.03991952 -0.04335713 -0.04651997
#> 1.91429554166968 -0.03931837 -0.03980567 -0.04548810 -0.04864476 -0.05194591
#> 1.95302761682418 -0.04008847 -0.04695092 -0.04919046 -0.05057684 -0.05403796
#> 1.99178060312141 -0.04455012 -0.04889472 -0.05379783 -0.05421197 -0.05601430
#> 2.02501049762032 -0.04810439 -0.04910977 -0.05315830 -0.05847067 -0.05931447
#> 2.05778004489866 -0.05099235 -0.05318394 -0.05492383 -0.05869420 -0.06345992
#> 2.09450607114123 -0.04795221 -0.05338467 -0.05942408 -0.06033722 -0.06772115
#> 2.14006616349627 -0.04904962 -0.04957530 -0.06086236 -0.06134123 -0.07136205
#> 2.18658617913116 -0.04942385 -0.04942385 -0.06042967 -0.06268152 -0.07348884
#> 2.22462355152433 -0.05077782 -0.05077782 -0.05966040 -0.06043806 -0.07416423
#> 2.26917603086292 -0.04817401 -0.04817401 -0.05482348 -0.05995635 -0.07496390
#> 2.31817718775388 -0.05000118 -0.05000118 -0.05200796 -0.05883693 -0.07572374
#> 2.36957596181032 -0.04950628 -0.04950628 -0.05055052 -0.05703500 -0.07018619
#> 2.43815433799455 -0.04468106 -0.04468106 -0.04893573 -0.05645320 -0.06622627
#> 2.55412171880947 -0.04128564 -0.04323249 -0.04699662 -0.05498221 -0.06019418
#> 2.70001802940495 -0.03364285 -0.03483125 -0.03812256 -0.06051352 -0.06409434
#>                        [,29]       [,30]       [,31]       [,32]       [,33]
#> 1.64869392029419 -0.02102016 -0.02440074 -0.02931707 -0.02931707 -0.02931707
#> 1.75126810787332 -0.03327522 -0.03755856 -0.04559834 -0.04559837 -0.03908995
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#> 1.91429554166968 -0.05227995 -0.05506107 -0.06674666 -0.06960646 -0.06043242
#> 1.95302761682418 -0.05979176 -0.06049600 -0.06966219 -0.07018767 -0.07001136
#> 1.99178060312141 -0.06101007 -0.06177556 -0.07472925 -0.07503454 -0.07503454
#> 2.02501049762032 -0.06505745 -0.06521726 -0.08121391 -0.08161874 -0.08161874
#> 2.05778004489866 -0.07287088 -0.07287088 -0.08615174 -0.08666996 -0.08666996
#> 2.09450607114123 -0.07460382 -0.07460382 -0.08982368 -0.09048328 -0.09048328
#> 2.14006616349627 -0.07659012 -0.07659012 -0.09087854 -0.09090026 -0.09266917
#> 2.18658617913116 -0.07898042 -0.07898042 -0.08926739 -0.08929401 -0.09229160
#> 2.22462355152433 -0.07954658 -0.07954658 -0.08708169 -0.08711205 -0.09033055
#> 2.26917603086292 -0.07906866 -0.07906866 -0.08438356 -0.08441775 -0.08672434
#> 2.31817718775388 -0.07777291 -0.07777291 -0.07982117 -0.08136325 -0.08352271
#> 2.36957596181032 -0.07544672 -0.07544672 -0.07647880 -0.07840263 -0.08410993
#> 2.43815433799455 -0.07082191 -0.07019270 -0.07613880 -0.08297527 -0.08336742
#> 2.55412171880947 -0.07602266 -0.07046226 -0.07836777 -0.08236747 -0.08683600
#> 2.70001802940495 -0.07787967 -0.07787967 -0.08369994 -0.08986018 -0.09139866
#>                        [,34]       [,35]       [,36]       [,37]
#> 1.64869392029419 -0.02931707 -0.02976652 -0.03506494 -0.03773273
#> 1.75126810787332 -0.04057328 -0.04602865 -0.05555277 -0.06059583
#> 1.79946777896389 -0.05085770 -0.06032956 -0.06909971 -0.07138036
#> 1.87106930768594 -0.06794827 -0.07516356 -0.08803053 -0.09632982
#> 1.91429554166968 -0.06960646 -0.07747632 -0.10739100 -0.10981902
#> 1.95302761682418 -0.07469519 -0.08209129 -0.11272942 -0.12677585
#> 1.99178060312141 -0.08569886 -0.09240431 -0.12425712 -0.14125329
#> 2.02501049762032 -0.08824934 -0.10303732 -0.13256955 -0.15249676
#> 2.05778004489866 -0.08998798 -0.10599258 -0.13905444 -0.16139518
#> 2.09450607114123 -0.09107021 -0.10363006 -0.14413955 -0.17571227
#> 2.14006616349627 -0.09568145 -0.10269411 -0.14730165 -0.19193862
#> 2.18658617913116 -0.10099171 -0.10482948 -0.14741491 -0.20292390
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#> 2.26917603086292 -0.10428356 -0.10728821 -0.14876838 -0.20718207
#> 2.31817718775388 -0.10206574 -0.10796308 -0.14757877 -0.20653745
#> 2.36957596181032 -0.10404887 -0.10873984 -0.14885032 -0.20648558
#> 2.43815433799455 -0.10158277 -0.11393425 -0.14823232 -0.20784675
#> 2.55412171880947 -0.09441035 -0.11897256 -0.14686676 -0.21578152
#> 2.70001802940495 -0.09781056 -0.11777313 -0.14977610 -0.22269728
#> 
#> $ciupper
#>                       [,1]      [,2]      [,3]      [,4]      [,5]      [,6]
#> 1.64869392029419 0.1568840 0.1576250 0.1576250 0.1576250 0.1576250 0.1576250
#> 1.75126810787332 0.2208480 0.2229666 0.2247034 0.2247034 0.2247034 0.2247034
#> 1.79946777896389 0.2441322 0.2441322 0.2493844 0.2493844 0.2493844 0.2493844
#> 1.87106930768594 0.2740760 0.2721245 0.2693022 0.2693022 0.2693022 0.2695414
#> 1.91429554166968 0.2803832 0.2837209 0.2736916 0.2736916 0.2736916 0.2736916
#> 1.95302761682418 0.2789861 0.2819385 0.2789861 0.2790590 0.2789861 0.2789861
#> 1.99178060312141 0.2725375 0.2823549 0.2725375 0.2929344 0.2929344 0.2807625
#> 2.02501049762032 0.2682215 0.2949469 0.2682215 0.3023233 0.2943778 0.2790271
#> 2.05778004489866 0.2738702 0.3001385 0.2662460 0.3002156 0.2925211 0.2767865
#> 2.09450607114123 0.2738000 0.2968218 0.2640199 0.2968219 0.2889388 0.2740501
#> 2.14006616349627 0.2707530 0.2922478 0.2618196 0.2922623 0.2865570 0.2707980
#> 2.18658617913116 0.2696451 0.2876491 0.2605913 0.2878949 0.2865024 0.2679210
#> 2.22462355152433 0.2693038 0.2844526 0.2604000 0.2872437 0.2864024 0.2633257
#> 2.26917603086292 0.2639646 0.2815135 0.2609239 0.2883129 0.2876093 0.2609736
#> 2.31817718775388 0.2621261 0.2792634 0.2602962 0.2915368 0.2910563 0.2606266
#> 2.36957596181032 0.2596581 0.2778136 0.2595370 0.2969736 0.2967875 0.2628687
#> 2.43815433799455 0.2555957 0.2766538 0.2589929 0.3058906 0.3058906 0.2657574
#> 2.55412171880947 0.2561108 0.2759217 0.2576618 0.2835889 0.3209150 0.2704699
#> 2.70001802940495 0.2482714 0.2609749 0.2551071 0.2772180 0.3291720 0.2684177
#>                       [,7]      [,8]      [,9]     [,10]       [,11]      [,12]
#> 1.64869392029419 0.1568789 0.1596563 0.1596563 0.1510476  0.12395440  0.1239544
#> 1.75126810787332 0.2231184 0.2340284 0.2340284 0.2160592  0.09855350  0.0985535
#> 1.79946777896389 0.2445407 0.2590605 0.2590605 0.2325350  0.04008190  0.0400819
#> 1.87106930768594 0.2680095 0.2907393 0.2907393 0.2534756 -0.07311439 -0.1061750
#> 1.91429554166968 0.2736916 0.2998509 0.2998509 0.2595904 -0.15576789 -0.2152884
#> 1.95302761682418 0.2817284 0.3112930 0.3112930 0.2619321 -0.26075806 -0.3266798
#> 1.99178060312141 0.2854641 0.3177388 0.3177388 0.2606770 -0.35288485 -0.4514901
#> 2.02501049762032 0.2900768 0.3155669 0.3155669 0.2516593 -0.41799571 -0.5539588
#> 2.05778004489866 0.2911113 0.3139000 0.3136526 0.2479304 -0.48085763 -0.6450338
#> 2.09450607114123 0.2876727 0.3189084 0.3186384 0.2448795 -0.54066743 -0.7340253
#> 2.14006616349627 0.2799554 0.3212891 0.3212816 0.2425699 -0.59938851 -0.8255117
#> 2.18658617913116 0.2719876 0.3225404 0.3225325 0.2419531 -0.64471292 -0.8927187
#> 2.22462355152433 0.2659211 0.3233067 0.3232986 0.2420929 -0.67137359 -0.9273254
#> 2.26917603086292 0.2625629 0.3233990 0.3233906 0.2429330 -0.69259012 -0.9578614
#> 2.31817718775388 0.2621300 0.3227946 0.3227861 0.2444845 -0.70650042 -0.9820040
#> 2.36957596181032 0.2632582 0.3216587 0.3216502 0.2464021 -0.71410040 -0.9883997
#> 2.43815433799455 0.2662513 0.3211955 0.3211869 0.2583333 -0.71821840 -0.9899500
#> 2.55412171880947 0.2716632 0.3169830 0.3169830 0.2562859 -0.71958361 -0.9872938
#> 2.70001802940495 0.2692356 0.3151936 0.3151936 0.2625392 -0.71955617 -0.9852076
#>                       [,13]      [,14]       [,15]     [,16]     [,17]
#> 1.64869392029419  0.1239544  0.1239544  0.12362169 0.1407120 0.1384098
#> 1.75126810787332  0.0985535  0.0985535  0.09771904 0.1953561 0.1918641
#> 1.79946777896389  0.0400729  0.0400729  0.04026435 0.2109379 0.2098867
#> 1.87106930768594 -0.1061750 -0.1064481 -0.10619286 0.2201365 0.2182541
#> 1.91429554166968 -0.2152884 -0.2155409 -0.21606625 0.2156063 0.2134737
#> 1.95302761682418 -0.3266798 -0.3310863 -0.33110990 0.2158323 0.2158323
#> 1.99178060312141 -0.4514901 -0.4514901 -0.45134400 0.2159084 0.2159084
#> 2.02501049762032 -0.5539588 -0.5539588 -0.54186910 0.2118601 0.2118601
#> 2.05778004489866 -0.6450338 -0.6487429 -0.63227656 0.2064955 0.2064955
#> 2.09450607114123 -0.7336481 -0.7336481 -0.72964133 0.2009272 0.2009272
#> 2.14006616349627 -0.8239502 -0.8314204 -0.81904261 0.1953545 0.1953545
#> 2.18658617913116 -0.8895419 -0.9053533 -0.88460782 0.1947991 0.1915910
#> 2.22462355152433 -0.9267910 -0.9408241 -0.92441843 0.1952105 0.1899619
#> 2.26917603086292 -0.9564540 -0.9669211 -0.95157060 0.1949529 0.1894277
#> 2.31817718775388 -0.9768766 -0.9823654 -0.96558955 0.1933311 0.1899766
#> 2.36957596181032 -0.9870196 -0.9890255 -0.97239075 0.1913189 0.1913189
#> 2.43815433799455 -0.9899500 -0.9925805 -0.97508972 0.1979466 0.1979466
#> 2.55412171880947 -0.9872938 -0.9958272 -0.97362169 0.2010427 0.2010427
#> 2.70001802940495 -0.9852076 -0.9864724 -0.98056678 0.2017903 0.2017903
#>                      [,18]     [,19]     [,20]     [,21]     [,22]     [,23]
#> 1.64869392029419 0.1402430 0.1388405 0.1388405 0.1388803 0.1388803 0.1388803
#> 1.75126810787332 0.1953561 0.1954119 0.1954120 0.1954193 0.1954193 0.1954193
#> 1.79946777896389 0.2109379 0.2113982 0.2113982 0.2126966 0.2126966 0.2126966
#> 1.87106930768594 0.2201365 0.2242740 0.2242740 0.2260570 0.2260570 0.2260570
#> 1.91429554166968 0.2136695 0.2251932 0.2251932 0.2252182 0.2252182 0.2252182
#> 1.95302761682418 0.2158764 0.2215014 0.2215014 0.2215014 0.2215014 0.2215014
#> 1.99178060312141 0.2126218 0.2171270 0.2171270 0.2171270 0.2152521 0.2152521
#> 2.02501049762032 0.2048153 0.2116654 0.2116654 0.2116654 0.2085483 0.2085483
#> 2.05778004489866 0.1976531 0.2047460 0.2047460 0.2047460 0.2002080 0.2002080
#> 2.09450607114123 0.1909213 0.1967448 0.1967448 0.1967448 0.1909213 0.1909213
#> 2.14006616349627 0.1850806 0.1884279 0.1884279 0.1884279 0.1849605 0.1849605
#> 2.18658617913116 0.1834863 0.1836629 0.1836629 0.1836629 0.1815630 0.1815630
#> 2.22462355152433 0.1820000 0.1833840 0.1833840 0.1833840 0.1804038 0.1804038
#> 2.26917603086292 0.1803574 0.1873677 0.1873677 0.1873677 0.1802412 0.1802412
#> 2.31817718775388 0.1853548 0.1898980 0.1898980 0.1898980 0.1807440 0.1807440
#> 2.36957596181032 0.1910960 0.1915713 0.1915713 0.1915713 0.1813064 0.1813064
#> 2.43815433799455 0.1933031 0.1935772 0.1935772 0.1935772 0.1889569 0.1889569
#> 2.55412171880947 0.1982591 0.2016363 0.2016363 0.2087570 0.2087570 0.2087570
#> 2.70001802940495 0.1982249 0.2087673 0.2087056 0.2121253 0.2121253 0.2121253
#>                      [,24]     [,25]     [,26]     [,27]      [,28]      [,29]
#> 1.64869392029419 0.1402557 0.1402557 0.1402557 0.1022113 0.09503767 0.09503424
#> 1.75126810787332 0.1997934 0.1997934 0.1954193 0.1525402 0.15254023 0.14315068
#> 1.79946777896389 0.2172610 0.2172610 0.2134592 0.1681712 0.16708546 0.15394512
#> 1.87106930768594 0.2260872 0.2260872 0.2201818 0.1805600 0.17635636 0.16451548
#> 1.91429554166968 0.2252182 0.2251281 0.2102215 0.1814826 0.17488545 0.16710921
#> 1.95302761682418 0.2215014 0.2197130 0.1977539 0.1770862 0.16981673 0.16404164
#> 1.99178060312141 0.2152521 0.2152697 0.1841953 0.1648328 0.16382293 0.15665788
#> 2.02501049762032 0.2085483 0.2085227 0.1732631 0.1612919 0.15497888 0.14769773
#> 2.05778004489866 0.2016815 0.2016305 0.1697765 0.1566038 0.15473509 0.13741795
#> 2.09450607114123 0.2008654 0.1985343 0.1700297 0.1536033 0.14796121 0.12863086
#> 2.14006616349627 0.1953913 0.1935454 0.1726192 0.1510638 0.13849370 0.12211992
#> 2.18658617913116 0.1916417 0.1908841 0.1745895 0.1475850 0.13243385 0.12184023
#> 2.22462355152433 0.1899597 0.1901453 0.1740534 0.1441760 0.13302594 0.12313417
#> 2.26917603086292 0.1893408 0.1903005 0.1719374 0.1427448 0.13931395 0.12589354
#> 2.31817718775388 0.1898903 0.1909895 0.1711114 0.1524776 0.13418004 0.13053849
#> 2.36957596181032 0.1912365 0.1916302 0.1713572 0.1565498 0.14043688 0.13419599
#> 2.43815433799455 0.1932473 0.1917989 0.1786509 0.1644970 0.14939400 0.13962042
#> 2.55412171880947 0.2096849 0.2096901 0.1826143 0.1695179 0.15537630 0.14674011
#> 2.70001802940495 0.2152188 0.2152188 0.1859273 0.1713691 0.15731358 0.15348567
#>                       [,30]      [,31]      [,32]      [,33]      [,34]
#> 1.64869392029419 0.09503424 0.09503424 0.09503424 0.09503424 0.09502131
#> 1.75126810787332 0.14315068 0.14315068 0.14315068 0.14315068 0.14307642
#> 1.79946777896389 0.14845670 0.14845670 0.14845670 0.14845670 0.14830756
#> 1.87106930768594 0.16748922 0.16748922 0.16748922 0.16748922 0.16161702
#> 1.91429554166968 0.17159282 0.17159282 0.17159282 0.17159282 0.15201888
#> 1.95302761682418 0.16964549 0.16964549 0.16964549 0.16964549 0.13727759
#> 1.99178060312141 0.16217186 0.16217186 0.16217186 0.16217186 0.12939839
#> 2.02501049762032 0.15134260 0.15134260 0.15134260 0.15134260 0.12605604
#> 2.05778004489866 0.13890718 0.13890718 0.13890718 0.13890718 0.12379735
#> 2.09450607114123 0.12888813 0.12614441 0.12614441 0.12614441 0.12037904
#> 2.14006616349627 0.12215141 0.12143813 0.12143813 0.11768536 0.11333191
#> 2.18658617913116 0.11794939 0.12090485 0.12090485 0.11799005 0.11023418
#> 2.22462355152433 0.11207969 0.12417527 0.12417527 0.12175408 0.10788849
#> 2.26917603086292 0.11517344 0.12792286 0.12851327 0.12792286 0.10751393
#> 2.31817718775388 0.12174520 0.13139567 0.13141457 0.13053265 0.10614833
#> 2.36957596181032 0.12666278 0.13379359 0.13383914 0.13323727 0.10771712
#> 2.43815433799455 0.12871199 0.13737353 0.13753541 0.13464373 0.11267645
#> 2.55412171880947 0.13040986 0.13568017 0.14322414 0.13261534 0.12224082
#> 2.70001802940495 0.13015778 0.14095657 0.14808666 0.12966988 0.11478784
#>                       [,35]      [,36]      [,37]
#> 1.64869392029419 0.09273074 0.09223323 0.09223589
#> 1.75126810787332 0.12609340 0.12517348 0.12517184
#> 1.79946777896389 0.14695658 0.13503910 0.13499801
#> 1.87106930768594 0.14637494 0.13991521 0.13997287
#> 1.91429554166968 0.14013724 0.13478389 0.13481762
#> 1.95302761682418 0.13160970 0.12939079 0.13089268
#> 1.99178060312141 0.12251997 0.12038190 0.12148866
#> 2.02501049762032 0.11797836 0.11704380 0.11921295
#> 2.05778004489866 0.11526267 0.11132914 0.11697250
#> 2.09450607114123 0.11237422 0.10627361 0.11474551
#> 2.14006616349627 0.10927004 0.10651111 0.11265294
#> 2.18658617913116 0.10673236 0.10673236 0.10910979
#> 2.22462355152433 0.10523320 0.10523320 0.10954965
#> 2.26917603086292 0.10459606 0.10385550 0.10926206
#> 2.31817718775388 0.10588301 0.10366766 0.10768724
#> 2.36957596181032 0.10555437 0.10199032 0.10203420
#> 2.43815433799455 0.10571646 0.09850734 0.10022791
#> 2.55412171880947 0.10397493 0.09950853 0.10391853
#> 2.70001802940495 0.11075586 0.10822640 0.10992143
#> 
#> $cenval
#> [1] 0
#> 
#> $cumulative.effect
#>        vals       mean      lower       upper
#> 1  1.648694  1.1733800 -0.3730666  4.01853159
#> 2  1.751268  1.5005687 -0.9203527  5.23506568
#> 3  1.799468  1.4047270 -1.3683045  5.28058512
#> 4  1.871069  0.8401746 -2.3414251  4.86419126
#> 5  1.914296  0.2606130 -2.9892408  4.33075749
#> 6  1.953028 -0.3735883 -3.6646459  3.51018091
#> 7  1.991781 -1.0689006 -4.2272693  2.54832649
#> 8  2.025010 -1.6730744 -4.7525323  1.80324714
#> 9  2.057780 -2.2423284 -5.2204717  1.29182949
#> 10 2.094506 -2.8162316 -5.7212670  0.69810849
#> 11 2.140066 -3.3976392 -6.2741134 -0.06105589
#> 12 2.186586 -3.8233049 -6.6131671 -0.54735049
#> 13 2.224624 -4.0506508 -6.7160696 -0.76596057
#> 14 2.269176 -4.2016031 -6.7654482 -0.93670071
#> 15 2.318177 -4.2626927 -6.8398184 -1.05461767
#> 16 2.369576 -4.2561659 -6.8408317 -1.09390944
#> 17 2.438154 -4.2035274 -6.6775083 -0.91646714
#> 18 2.554122 -4.1288622 -6.5578117 -0.68039937
#> 19 2.700018 -4.1157049 -6.6138469 -0.58778210
#> 
#> $pred.at
#>  [1] 1.648694 1.751268 1.799468 1.871069 1.914296 1.953028 1.991781 2.025010
#>  [9] 2.057780 2.094506 2.140066 2.186586 2.224624 2.269176 2.318177 2.369576
#> [17] 2.438154 2.554122 2.700018
#> 
#> $gamma.mean
#> (Intercept)          c1          c2          c3          c4          c5 
#> -1.71013154 -1.56249305  0.61465081  0.26028501 -0.06693421 -0.98354159 
#>          b1          b2          b3          b4          b5 
#> -0.62307846  1.04260566 -0.61100387  0.69545057  1.41334838 
#> 
#> $gamma.ci
#>       (Intercept)        c1        c2        c3          c4         c5
#> 2.5%   -10.797417 -1.643743 0.5214339 0.1661036 -0.15444845 -1.0939746
#> 97.5%    8.206714 -1.483173 0.7183263 0.3509987  0.02573016 -0.8543498
#>               b1        b2         b3        b4       b5
#> 2.5%  -0.8151343 0.8144137 -0.8029927 0.4666357 1.237239
#> 97.5% -0.3798168 1.2752442 -0.4011728 0.9326706 1.621735
#> 
#> $splitProb
#>  [1] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
#> 
#> $splitIter
#>       [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
#>  [1,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#>  [2,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#>  [3,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#>  [4,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#>  [5,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#>  [6,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#>  [7,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#>  [8,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#>  [9,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [10,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [11,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [12,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [13,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [14,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [15,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [16,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [17,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [18,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [19,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [20,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [21,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [22,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [23,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [24,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [25,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [26,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [27,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [28,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [29,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [30,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [31,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [32,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [33,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [34,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [35,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [36,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#> [37,]    1    1    1    1    1    1    1    1    1     1     1     1     1
#>       [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
#>  [1,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [2,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [3,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [4,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [5,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [6,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [7,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [8,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [9,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [10,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [11,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [12,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [13,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [14,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [15,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [16,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [17,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [18,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [19,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [20,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [21,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [22,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [23,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [24,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [25,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [26,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [27,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [28,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [29,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [30,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [31,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [32,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [33,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [34,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [35,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [36,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [37,]     1     1     1     1     1     1     1     1     1     1     1     1
#>       [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]
#>  [1,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [2,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [3,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [4,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [5,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [6,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [7,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [8,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [9,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [10,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [11,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [12,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [13,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [14,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [15,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [16,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [17,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [18,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [19,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [20,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [21,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [22,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [23,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [24,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [25,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [26,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [27,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [28,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [29,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [30,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [31,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [32,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [33,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [34,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [35,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [36,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [37,]     1     1     1     1     1     1     1     1     1     1     1     1
#>       [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]
#>  [1,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [2,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [3,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [4,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [5,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [6,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [7,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [8,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [9,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [10,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [11,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [12,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [13,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [14,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [15,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [16,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [17,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [18,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [19,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [20,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [21,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [22,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [23,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [24,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [25,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [26,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [27,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [28,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [29,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [30,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [31,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [32,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [33,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [34,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [35,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [36,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [37,]     1     1     1     1     1     1     1     1     1     1     1     1
#>       [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]
#>  [1,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [2,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [3,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [4,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [5,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [6,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [7,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [8,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [9,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [10,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [11,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [12,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [13,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [14,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [15,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [16,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [17,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [18,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [19,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [20,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [21,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [22,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [23,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [24,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [25,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [26,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [27,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [28,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [29,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [30,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [31,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [32,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [33,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [34,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [35,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [36,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [37,]     1     1     1     1     1     1     1     1     1     1     1     1
#>       [,62] [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72] [,73]
#>  [1,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [2,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [3,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [4,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [5,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [6,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [7,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [8,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [9,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [10,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [11,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [12,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [13,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [14,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [15,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [16,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [17,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [18,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [19,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [20,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [21,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [22,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [23,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [24,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [25,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [26,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [27,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [28,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [29,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [30,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [31,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [32,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [33,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [34,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [35,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [36,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [37,]     1     1     1     1     1     1     1     1     1     1     1     1
#>       [,74] [,75] [,76] [,77] [,78] [,79] [,80] [,81] [,82] [,83] [,84] [,85]
#>  [1,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [2,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [3,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [4,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [5,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [6,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [7,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [8,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [9,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [10,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [11,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [12,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [13,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [14,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [15,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [16,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [17,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [18,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [19,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [20,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [21,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [22,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [23,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [24,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [25,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [26,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [27,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [28,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [29,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [30,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [31,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [32,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [33,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [34,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [35,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [36,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [37,]     1     1     1     1     1     1     1     1     1     1     1     1
#>       [,86] [,87] [,88] [,89] [,90] [,91] [,92] [,93] [,94] [,95] [,96] [,97]
#>  [1,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [2,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [3,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [4,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [5,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [6,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [7,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [8,]     1     1     1     1     1     1     1     1     1     1     1     1
#>  [9,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [10,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [11,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [12,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [13,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [14,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [15,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [16,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [17,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [18,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [19,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [20,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [21,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [22,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [23,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [24,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [25,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [26,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [27,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [28,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [29,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [30,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [31,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [32,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [33,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [34,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [35,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [36,]     1     1     1     1     1     1     1     1     1     1     1     1
#> [37,]     1     1     1     1     1     1     1     1     1     1     1     1
#>       [,98] [,99] [,100] [,101] [,102] [,103] [,104] [,105] [,106] [,107]
#>  [1,]     1     1      1      1      1      1      1      1      1      1
#>  [2,]     1     1      1      1      1      1      1      1      1      1
#>  [3,]     1     1      1      1      1      1      1      1      1      1
#>  [4,]     1     1      1      1      1      1      1      1      1      1
#>  [5,]     1     1      1      1      1      1      1      1      1      1
#>  [6,]     1     1      1      1      1      1      1      1      1      1
#>  [7,]     1     1      1      1      1      1      1      1      1      1
#>  [8,]     1     1      1      1      1      1      1      1      1      1
#>  [9,]     1     1      1      1      1      1      1      1      1      1
#> [10,]     1     1      1      1      1      1      1      1      1      1
#> [11,]     1     1      1      1      1      1      1      1      1      1
#> [12,]     1     1      1      1      1      1      1      1      1      1
#> [13,]     1     1      1      1      1      1      1      1      1      1
#> [14,]     1     1      1      1      1      1      1      1      1      1
#> [15,]     1     1      1      1      1      1      1      1      1      1
#> [16,]     1     1      1      1      1      1      1      1      1      1
#> [17,]     1     1      1      1      1      1      1      1      1      1
#> [18,]     1     1      1      1      1      1      1      1      1      1
#> [19,]     1     1      1      1      1      1      1      1      1      1
#> [20,]     1     1      1      1      1      1      1      1      1      1
#> [21,]     1     1      1      1      1      1      1      1      1      1
#> [22,]     1     1      1      1      1      1      1      1      1      1
#> [23,]     1     1      1      1      1      1      1      1      1      1
#> [24,]     1     1      1      1      1      1      1      1      1      1
#> [25,]     1     1      1      1      1      1      1      1      1      1
#> [26,]     1     1      1      1      1      1      1      1      1      1
#> [27,]     1     1      1      1      1      1      1      1      1      1
#> [28,]     1     1      1      1      1      1      1      1      1      1
#> [29,]     1     1      1      1      1      1      1      1      1      1
#> [30,]     1     1      1      1      1      1      1      1      1      1
#> [31,]     1     1      1      1      1      1      1      1      1      1
#> [32,]     1     1      1      1      1      1      1      1      1      1
#> [33,]     1     1      1      1      1      1      1      1      1      1
#> [34,]     1     1      1      1      1      1      1      1      1      1
#> [35,]     1     1      1      1      1      1      1      1      1      1
#> [36,]     1     1      1      1      1      1      1      1      1      1
#> [37,]     1     1      1      1      1      1      1      1      1      1
#>       [,108] [,109] [,110] [,111] [,112] [,113] [,114] [,115] [,116] [,117]
#>  [1,]      1      1      1      1      1      1      1      1      1      1
#>  [2,]      1      1      1      1      1      1      1      1      1      1
#>  [3,]      1      1      1      1      1      1      1      1      1      1
#>  [4,]      1      1      1      1      1      1      1      1      1      1
#>  [5,]      1      1      1      1      1      1      1      1      1      1
#>  [6,]      1      1      1      1      1      1      1      1      1      1
#>  [7,]      1      1      1      1      1      1      1      1      1      1
#>  [8,]      1      1      1      1      1      1      1      1      1      1
#>  [9,]      1      1      1      1      1      1      1      1      1      1
#> [10,]      1      1      1      1      1      1      1      1      1      1
#> [11,]      1      1      1      1      1      1      1      1      1      1
#> [12,]      1      1      1      1      1      1      1      1      1      1
#> [13,]      1      1      1      1      1      1      1      1      1      1
#> [14,]      1      1      1      1      1      1      1      1      1      1
#> [15,]      1      1      1      1      1      1      1      1      1      1
#> [16,]      1      1      1      1      1      1      1      1      1      1
#> [17,]      1      1      1      1      1      1      1      1      1      1
#> [18,]      1      1      1      1      1      1      1      1      1      1
#> [19,]      1      1      1      1      1      1      1      1      1      1
#> [20,]      1      1      1      1      1      1      1      1      1      1
#> [21,]      1      1      1      1      1      1      1      1      1      1
#> [22,]      1      1      1      1      1      1      1      1      1      1
#> [23,]      1      1      1      1      1      1      1      1      1      1
#> [24,]      1      1      1      1      1      1      1      1      1      1
#> [25,]      1      1      1      1      1      1      1      1      1      1
#> [26,]      1      1      1      1      1      1      1      1      1      1
#> [27,]      1      1      1      1      1      1      1      1      1      1
#> [28,]      1      1      1      1      1      1      1      1      1      1
#> [29,]      1      1      1      1      1      1      1      1      1      1
#> [30,]      1      1      1      1      1      1      1      1      1      1
#> [31,]      1      1      1      1      1      1      1      1      1      1
#> [32,]      1      1      1      1      1      1      1      1      1      1
#> [33,]      1      1      1      1      1      1      1      1      1      1
#> [34,]      1      1      1      1      1      1      1      1      1      1
#> [35,]      1      1      1      1      1      1      1      1      1      1
#> [36,]      1      1      1      1      1      1      1      1      1      1
#> [37,]      1      1      1      1      1      1      1      1      1      1
#>       [,118] [,119] [,120] [,121] [,122] [,123] [,124] [,125] [,126] [,127]
#>  [1,]      1      1      1      1      1      1      1      1      1      1
#>  [2,]      1      1      1      1      1      1      1      1      1      1
#>  [3,]      1      1      1      1      1      1      1      1      1      1
#>  [4,]      1      1      1      1      1      1      1      1      1      1
#>  [5,]      1      1      1      1      1      1      1      1      1      1
#>  [6,]      1      1      1      1      1      1      1      1      1      1
#>  [7,]      1      1      1      1      1      1      1      1      1      1
#>  [8,]      1      1      1      1      1      1      1      1      1      1
#>  [9,]      1      1      1      1      1      1      1      1      1      1
#> [10,]      1      1      1      1      1      1      1      1      1      1
#> [11,]      1      1      1      1      1      1      1      1      1      1
#> [12,]      1      1      1      1      1      1      1      1      1      1
#> [13,]      1      1      1      1      1      1      1      1      1      1
#> [14,]      1      1      1      1      1      1      1      1      1      1
#> [15,]      1      1      1      1      1      1      1      1      1      1
#> [16,]      1      1      1      1      1      1      1      1      1      1
#> [17,]      1      1      1      1      1      1      1      1      1      1
#> [18,]      1      1      1      1      1      1      1      1      1      1
#> [19,]      1      1      1      1      1      1      1      1      1      1
#> [20,]      1      1      1      1      1      1      1      1      1      1
#> [21,]      1      1      1      1      1      1      1      1      1      1
#> [22,]      1      1      1      1      1      1      1      1      1      1
#> [23,]      1      1      1      1      1      1      1      1      1      1
#> [24,]      1      1      1      1      1      1      1      1      1      1
#> [25,]      1      1      1      1      1      1      1      1      1      1
#> [26,]      1      1      1      1      1      1      1      1      1      1
#> [27,]      1      1      1      1      1      1      1      1      1      1
#> [28,]      1      1      1      1      1      1      1      1      1      1
#> [29,]      1      1      1      1      1      1      1      1      1      1
#> [30,]      1      1      1      1      1      1      1      1      1      1
#> [31,]      1      1      1      1      1      1      1      1      1      1
#> [32,]      1      1      1      1      1      1      1      1      1      1
#> [33,]      1      1      1      1      1      1      1      1      1      1
#> [34,]      1      1      1      1      1      1      1      1      1      1
#> [35,]      1      1      1      1      1      1      1      1      1      1
#> [36,]      1      1      1      1      1      1      1      1      1      1
#> [37,]      1      1      1      1      1      1      1      1      1      1
#>       [,128] [,129] [,130] [,131] [,132] [,133] [,134] [,135] [,136] [,137]
#>  [1,]      1      1      1      1      1      1      1      1      1      1
#>  [2,]      1      1      1      1      1      1      1      1      1      1
#>  [3,]      1      1      1      1      1      1      1      1      1      1
#>  [4,]      1      1      1      1      1      1      1      1      1      1
#>  [5,]      1      1      1      1      1      1      1      1      1      1
#>  [6,]      1      1      1      1      1      1      1      1      1      1
#>  [7,]      1      1      1      1      1      1      1      1      1      1
#>  [8,]      1      1      1      1      1      1      1      1      1      1
#>  [9,]      1      1      1      1      1      1      1      1      1      1
#> [10,]      1      1      1      1      1      1      1      1      1      1
#> [11,]      1      1      1      1      1      1      1      1      1      1
#> [12,]      1      1      1      1      1      1      1      1      1      1
#> [13,]      1      1      1      1      1      1      1      1      1      1
#> [14,]      1      1      1      1      1      1      1      1      1      1
#> [15,]      1      1      1      1      1      1      1      1      1      1
#> [16,]      1      1      1      1      1      1      1      1      1      1
#> [17,]      1      1      1      1      1      1      1      1      1      1
#> [18,]      1      1      1      1      1      1      1      1      1      1
#> [19,]      1      1      1      1      1      1      1      1      1      1
#> [20,]      1      1      1      1      1      1      1      1      1      1
#> [21,]      1      1      1      1      1      1      1      1      1      1
#> [22,]      1      1      1      1      1      1      1      1      1      1
#> [23,]      1      1      1      1      1      1      1      1      1      1
#> [24,]      1      1      1      1      1      1      1      1      1      1
#> [25,]      1      1      1      1      1      1      1      1      1      1
#> [26,]      1      1      1      1      1      1      1      1      1      1
#> [27,]      1      1      1      1      1      1      1      1      1      1
#> [28,]      1      1      1      1      1      1      1      1      1      1
#> [29,]      1      1      1      1      1      1      1      1      1      1
#> [30,]      1      1      1      1      1      1      1      1      1      1
#> [31,]      1      1      1      1      1      1      1      1      1      1
#> [32,]      1      1      1      1      1      1      1      1      1      1
#> [33,]      1      1      1      1      1      1      1      1      1      1
#> [34,]      1      1      1      1      1      1      1      1      1      1
#> [35,]      1      1      1      1      1      1      1      1      1      1
#> [36,]      1      1      1      1      1      1      1      1      1      1
#> [37,]      1      1      1      1      1      1      1      1      1      1
#>       [,138] [,139] [,140] [,141] [,142] [,143] [,144] [,145] [,146] [,147]
#>  [1,]      1      1      1      1      1      1      1      1      1      1
#>  [2,]      1      1      1      1      1      1      1      1      1      1
#>  [3,]      1      1      1      1      1      1      1      1      1      1
#>  [4,]      1      1      1      1      1      1      1      1      1      1
#>  [5,]      1      1      1      1      1      1      1      1      1      1
#>  [6,]      1      1      1      1      1      1      1      1      1      1
#>  [7,]      1      1      1      1      1      1      1      1      1      1
#>  [8,]      1      1      1      1      1      1      1      1      1      1
#>  [9,]      1      1      1      1      1      1      1      1      1      1
#> [10,]      1      1      1      1      1      1      1      1      1      1
#> [11,]      1      1      1      1      1      1      1      1      1      1
#> [12,]      1      1      1      1      1      1      1      1      1      1
#> [13,]      1      1      1      1      1      1      1      1      1      1
#> [14,]      1      1      1      1      1      1      1      1      1      1
#> [15,]      1      1      1      1      1      1      1      1      1      1
#> [16,]      1      1      1      1      1      1      1      1      1      1
#> [17,]      1      1      1      1      1      1      1      1      1      1
#> [18,]      1      1      1      1      1      1      1      1      1      1
#> [19,]      1      1      1      1      1      1      1      1      1      1
#> [20,]      1      1      1      1      1      1      1      1      1      1
#> [21,]      1      1      1      1      1      1      1      1      1      1
#> [22,]      1      1      1      1      1      1      1      1      1      1
#> [23,]      1      1      1      1      1      1      1      1      1      1
#> [24,]      1      1      1      1      1      1      1      1      1      1
#> [25,]      1      1      1      1      1      1      1      1      1      1
#> [26,]      1      1      1      1      1      1      1      1      1      1
#> [27,]      1      1      1      1      1      1      1      1      1      1
#> [28,]      1      1      1      1      1      1      1      1      1      1
#> [29,]      1      1      1      1      1      1      1      1      1      1
#> [30,]      1      1      1      1      1      1      1      1      1      1
#> [31,]      1      1      1      1      1      1      1      1      1      1
#> [32,]      1      1      1      1      1      1      1      1      1      1
#> [33,]      1      1      1      1      1      1      1      1      1      1
#> [34,]      1      1      1      1      1      1      1      1      1      1
#> [35,]      1      1      1      1      1      1      1      1      1      1
#> [36,]      1      1      1      1      1      1      1      1      1      1
#> [37,]      1      1      1      1      1      1      1      1      1      1
#>       [,148] [,149] [,150] [,151] [,152] [,153] [,154] [,155] [,156] [,157]
#>  [1,]      1      1      1      1      1      1      1      1      1      1
#>  [2,]      1      1      1      1      1      1      1      1      1      1
#>  [3,]      1      1      1      1      1      1      1      1      1      1
#>  [4,]      1      1      1      1      1      1      1      1      1      1
#>  [5,]      1      1      1      1      1      1      1      1      1      1
#>  [6,]      1      1      1      1      1      1      1      1      1      1
#>  [7,]      1      1      1      1      1      1      1      1      1      1
#>  [8,]      1      1      1      1      1      1      1      1      1      1
#>  [9,]      1      1      1      1      1      1      1      1      1      1
#> [10,]      1      1      1      1      1      1      1      1      1      1
#> [11,]      1      1      1      1      1      1      1      1      1      1
#> [12,]      1      1      1      1      1      1      1      1      1      1
#> [13,]      1      1      1      1      1      1      1      1      1      1
#> [14,]      1      1      1      1      1      1      1      1      1      1
#> [15,]      1      1      1      1      1      1      1      1      1      1
#> [16,]      1      1      1      1      1      1      1      1      1      1
#> [17,]      1      1      1      1      1      1      1      1      1      1
#> [18,]      1      1      1      1      1      1      1      1      1      1
#> [19,]      1      1      1      1      1      1      1      1      1      1
#> [20,]      1      1      1      1      1      1      1      1      1      1
#> [21,]      1      1      1      1      1      1      1      1      1      1
#> [22,]      1      1      1      1      1      1      1      1      1      1
#> [23,]      1      1      1      1      1      1      1      1      1      1
#> [24,]      1      1      1      1      1      1      1      1      1      1
#> [25,]      1      1      1      1      1      1      1      1      1      1
#> [26,]      1      1      1      1      1      1      1      1      1      1
#> [27,]      1      1      1      1      1      1      1      1      1      1
#> [28,]      1      1      1      1      1      1      1      1      1      1
#> [29,]      1      1      1      1      1      1      1      1      1      1
#> [30,]      1      1      1      1      1      1      1      1      1      1
#> [31,]      1      1      1      1      1      1      1      1      1      1
#> [32,]      1      1      1      1      1      1      1      1      1      1
#> [33,]      1      1      1      1      1      1      1      1      1      1
#> [34,]      1      1      1      1      1      1      1      1      1      1
#> [35,]      1      1      1      1      1      1      1      1      1      1
#> [36,]      1      1      1      1      1      1      1      1      1      1
#> [37,]      1      1      1      1      1      1      1      1      1      1
#>       [,158] [,159] [,160] [,161] [,162] [,163] [,164] [,165] [,166] [,167]
#>  [1,]      1      1      1      1      1      1      1      1      1      1
#>  [2,]      1      1      1      1      1      1      1      1      1      1
#>  [3,]      1      1      1      1      1      1      1      1      1      1
#>  [4,]      1      1      1      1      1      1      1      1      1      1
#>  [5,]      1      1      1      1      1      1      1      1      1      1
#>  [6,]      1      1      1      1      1      1      1      1      1      1
#>  [7,]      1      1      1      1      1      1      1      1      1      1
#>  [8,]      1      1      1      1      1      1      1      1      1      1
#>  [9,]      1      1      1      1      1      1      1      1      1      1
#> [10,]      1      1      1      1      1      1      1      1      1      1
#> [11,]      1      1      1      1      1      1      1      1      1      1
#> [12,]      1      1      1      1      1      1      1      1      1      1
#> [13,]      1      1      1      1      1      1      1      1      1      1
#> [14,]      1      1      1      1      1      1      1      1      1      1
#> [15,]      1      1      1      1      1      1      1      1      1      1
#> [16,]      1      1      1      1      1      1      1      1      1      1
#> [17,]      1      1      1      1      1      1      1      1      1      1
#> [18,]      1      1      1      1      1      1      1      1      1      1
#> [19,]      1      1      1      1      1      1      1      1      1      1
#> [20,]      1      1      1      1      1      1      1      1      1      1
#> [21,]      1      1      1      1      1      1      1      1      1      1
#> [22,]      1      1      1      1      1      1      1      1      1      1
#> [23,]      1      1      1      1      1      1      1      1      1      1
#> [24,]      1      1      1      1      1      1      1      1      1      1
#> [25,]      1      1      1      1      1      1      1      1      1      1
#> [26,]      1      1      1      1      1      1      1      1      1      1
#> [27,]      1      1      1      1      1      1      1      1      1      1
#> [28,]      1      1      1      1      1      1      1      1      1      1
#> [29,]      1      1      1      1      1      1      1      1      1      1
#> [30,]      1      1      1      1      1      1      1      1      1      1
#> [31,]      1      1      1      1      1      1      1      1      1      1
#> [32,]      1      1      1      1      1      1      1      1      1      1
#> [33,]      1      1      1      1      1      1      1      1      1      1
#> [34,]      1      1      1      1      1      1      1      1      1      1
#> [35,]      1      1      1      1      1      1      1      1      1      1
#> [36,]      1      1      1      1      1      1      1      1      1      1
#> [37,]      1      1      1      1      1      1      1      1      1      1
#>       [,168] [,169] [,170] [,171] [,172] [,173] [,174] [,175] [,176] [,177]
#>  [1,]      1      1      1      1      1      1      1      1      1      1
#>  [2,]      1      1      1      1      1      1      1      1      1      1
#>  [3,]      1      1      1      1      1      1      1      1      1      1
#>  [4,]      1      1      1      1      1      1      1      1      1      1
#>  [5,]      1      1      1      1      1      1      1      1      1      1
#>  [6,]      1      1      1      1      1      1      1      1      1      1
#>  [7,]      1      1      1      1      1      1      1      1      1      1
#>  [8,]      1      1      1      1      1      1      1      1      1      1
#>  [9,]      1      1      1      1      1      1      1      1      1      1
#> [10,]      1      1      1      1      1      1      1      1      1      1
#> [11,]      1      1      1      1      1      1      1      1      1      1
#> [12,]      1      1      1      1      1      1      1      1      1      1
#> [13,]      1      1      1      1      1      1      1      1      1      1
#> [14,]      1      1      1      1      1      1      1      1      1      1
#> [15,]      1      1      1      1      1      1      1      1      1      1
#> [16,]      1      1      1      1      1      1      1      1      1      1
#> [17,]      1      1      1      1      1      1      1      1      1      1
#> [18,]      1      1      1      1      1      1      1      1      1      1
#> [19,]      1      1      1      1      1      1      1      1      1      1
#> [20,]      1      1      1      1      1      1      1      1      1      1
#> [21,]      1      1      1      1      1      1      1      1      1      1
#> [22,]      1      1      1      1      1      1      1      1      1      1
#> [23,]      1      1      1      1      1      1      1      1      1      1
#> [24,]      1      1      1      1      1      1      1      1      1      1
#> [25,]      1      1      1      1      1      1      1      1      1      1
#> [26,]      1      1      1      1      1      1      1      1      1      1
#> [27,]      1      1      1      1      1      1      1      1      1      1
#> [28,]      1      1      1      1      1      1      1      1      1      1
#> [29,]      1      1      1      1      1      1      1      1      1      1
#> [30,]      1      1      1      1      1      1      1      1      1      1
#> [31,]      1      1      1      1      1      1      1      1      1      1
#> [32,]      1      1      1      1      1      1      1      1      1      1
#> [33,]      1      1      1      1      1      1      1      1      1      1
#> [34,]      1      1      1      1      1      1      1      1      1      1
#> [35,]      1      1      1      1      1      1      1      1      1      1
#> [36,]      1      1      1      1      1      1      1      1      1      1
#> [37,]      1      1      1      1      1      1      1      1      1      1
#>       [,178] [,179] [,180] [,181] [,182] [,183] [,184] [,185] [,186] [,187]
#>  [1,]      1      1      1      1      1      1      1      1      1      1
#>  [2,]      1      1      1      1      1      1      1      1      1      1
#>  [3,]      1      1      1      1      1      1      1      1      1      1
#>  [4,]      1      1      1      1      1      1      1      1      1      1
#>  [5,]      1      1      1      1      1      1      1      1      1      1
#>  [6,]      1      1      1      1      1      1      1      1      1      1
#>  [7,]      1      1      1      1      1      1      1      1      1      1
#>  [8,]      1      1      1      1      1      1      1      1      1      1
#>  [9,]      1      1      1      1      1      1      1      1      1      1
#> [10,]      1      1      1      1      1      1      1      1      1      1
#> [11,]      1      1      1      1      1      1      1      1      1      1
#> [12,]      1      1      1      1      1      1      1      1      1      1
#> [13,]      1      1      1      1      1      1      1      1      1      1
#> [14,]      1      1      1      1      1      1      1      1      1      1
#> [15,]      1      1      1      1      1      1      1      1      1      1
#> [16,]      1      1      1      1      1      1      1      1      1      1
#> [17,]      1      1      1      1      1      1      1      1      1      1
#> [18,]      1      1      1      1      1      1      1      1      1      1
#> [19,]      1      1      1      1      1      1      1      1      1      1
#> [20,]      1      1      1      1      1      1      1      1      1      1
#> [21,]      1      1      1      1      1      1      1      1      1      1
#> [22,]      1      1      1      1      1      1      1      1      1      1
#> [23,]      1      1      1      1      1      1      1      1      1      1
#> [24,]      1      1      1      1      1      1      1      1      1      1
#> [25,]      1      1      1      1      1      1      1      1      1      1
#> [26,]      1      1      1      1      1      1      1      1      1      1
#> [27,]      1      1      1      1      1      1      1      1      1      1
#> [28,]      1      1      1      1      1      1      1      1      1      1
#> [29,]      1      1      1      1      1      1      1      1      1      1
#> [30,]      1      1      1      1      1      1      1      1      1      1
#> [31,]      1      1      1      1      1      1      1      1      1      1
#> [32,]      1      1      1      1      1      1      1      1      1      1
#> [33,]      1      1      1      1      1      1      1      1      1      1
#> [34,]      1      1      1      1      1      1      1      1      1      1
#> [35,]      1      1      1      1      1      1      1      1      1      1
#> [36,]      1      1      1      1      1      1      1      1      1      1
#> [37,]      1      1      1      1      1      1      1      1      1      1
#>       [,188] [,189] [,190] [,191] [,192] [,193] [,194] [,195] [,196] [,197]
#>  [1,]      1      1      1      1      1      1      1      1      1      1
#>  [2,]      1      1      1      1      1      1      1      1      1      1
#>  [3,]      1      1      1      1      1      1      1      1      1      1
#>  [4,]      1      1      1      1      1      1      1      1      1      1
#>  [5,]      1      1      1      1      1      1      1      1      1      1
#>  [6,]      1      1      1      1      1      1      1      1      1      1
#>  [7,]      1      1      1      1      1      1      1      1      1      1
#>  [8,]      1      1      1      1      1      1      1      1      1      1
#>  [9,]      1      1      1      1      1      1      1      1      1      1
#> [10,]      1      1      1      1      1      1      1      1      1      1
#> [11,]      1      1      1      1      1      1      1      1      1      1
#> [12,]      1      1      1      1      1      1      1      1      1      1
#> [13,]      1      1      1      1      1      1      1      1      1      1
#> [14,]      1      1      1      1      1      1      1      1      1      1
#> [15,]      1      1      1      1      1      1      1      1      1      1
#> [16,]      1      1      1      1      1      1      1      1      1      1
#> [17,]      1      1      1      1      1      1      1      1      1      1
#> [18,]      1      1      1      1      1      1      1      1      1      1
#> [19,]      1      1      1      1      1      1      1      1      1      1
#> [20,]      1      1      1      1      1      1      1      1      1      1
#> [21,]      1      1      1      1      1      1      1      1      1      1
#> [22,]      1      1      1      1      1      1      1      1      1      1
#> [23,]      1      1      1      1      1      1      1      1      1      1
#> [24,]      1      1      1      1      1      1      1      1      1      1
#> [25,]      1      1      1      1      1      1      1      1      1      1
#> [26,]      1      1      1      1      1      1      1      1      1      1
#> [27,]      1      1      1      1      1      1      1      1      1      1
#> [28,]      1      1      1      1      1      1      1      1      1      1
#> [29,]      1      1      1      1      1      1      1      1      1      1
#> [30,]      1      1      1      1      1      1      1      1      1      1
#> [31,]      1      1      1      1      1      1      1      1      1      1
#> [32,]      1      1      1      1      1      1      1      1      1      1
#> [33,]      1      1      1      1      1      1      1      1      1      1
#> [34,]      1      1      1      1      1      1      1      1      1      1
#> [35,]      1      1      1      1      1      1      1      1      1      1
#> [36,]      1      1      1      1      1      1      1      1      1      1
#> [37,]      1      1      1      1      1      1      1      1      1      1
#>       [,198] [,199] [,200]
#>  [1,]      1      1      1
#>  [2,]      1      1      1
#>  [3,]      1      1      1
#>  [4,]      1      1      1
#>  [5,]      1      1      1
#>  [6,]      1      1      1
#>  [7,]      1      1      1
#>  [8,]      1      1      1
#>  [9,]      1      1      1
#> [10,]      1      1      1
#> [11,]      1      1      1
#> [12,]      1      1      1
#> [13,]      1      1      1
#> [14,]      1      1      1
#> [15,]      1      1      1
#> [16,]      1      1      1
#> [17,]      1      1      1
#> [18,]      1      1      1
#> [19,]      1      1      1
#> [20,]      1      1      1
#> [21,]      1      1      1
#> [22,]      1      1      1
#> [23,]      1      1      1
#> [24,]      1      1      1
#> [25,]      1      1      1
#> [26,]      1      1      1
#> [27,]      1      1      1
#> [28,]      1      1      1
#> [29,]      1      1      1
#> [30,]      1      1      1
#> [31,]      1      1      1
#> [32,]      1      1      1
#> [33,]      1      1      1
#> [34,]      1      1      1
#> [35,]      1      1      1
#> [36,]      1      1      1
#> [37,]      1      1      1
#> 
#> $formula
#> y ~ .
#> <environment: 0x5616df0fe830>
#> 
#> attr(,"class")
#> [1] "summary.tdlnm"

  # plot results
  plot(tdlnm.sum)




  # Heterogeneous TDLM (HDLM), similar to first example but with heterogeneous exposure response
  D <- sim.hdlmm(sim = "B", n = 1000)
  hdlm.fit <- dlmtree(y ~ .,
                      data = D$dat,
                      exposure.data = D$exposures,
                      dlm.type = "linear",
                      family = "gaussian",
                      het = TRUE)
#> Preparing data...
#> 
#> Running shared HDLM:
#> Burn-in % complete 
#> [0--------25--------50--------75--------100]
#>  ''''''''''''''''''''''''''''''''''''''''''
#> MCMC iterations (est time: 6 seconds)
#> [0--------25--------50--------75--------100]
#>  ''''''''''''''''''''''''''''''''''''''''''
#> Compiling results...

  # summarize results
  hdlm.sum <- summary(hdlm.fit)
  hdlm.sum
#> $ctr
#> $ctr$class
#> [1] "hdlm"
#> 
#> $ctr$n.trees
#> [1] 20
#> 
#> $ctr$n.iter
#> [1] 2000
#> 
#> $ctr$n.thin
#> [1] 10
#> 
#> $ctr$n.burn
#> [1] 1000
#> 
#> $ctr$response
#> [1] "gaussian"
#> 
#> 
#> $conf.level
#> [1] 0.95
#> 
#> $n.lag
#> [1] 37
#> 
#> $sig.to.noise
#> [1] NA
#> 
#> $rse
#> [1] 0.1401648
#> 
#> $n
#> [1] 1000
#> 
#> $modPrior
#> [1] 0.5
#> 
#> $mod.names
#>  [1] "mod_num"   "mod_bin"   "mod_scale" "c1"        "c2"        "c3"       
#>  [7] "c4"        "c5"        "b1"        "b2"        "b3"        "b4"       
#> [13] "b5"       
#> 
#> $pip
#>             PIP
#> mod_num   1.000
#> mod_bin   0.340
#> mod_scale 1.000
#> c1        0.245
#> c2        0.285
#> c3        0.245
#> c4        0.435
#> c5        0.230
#> b1        0.225
#> b2        0.245
#> b3        0.195
#> b4        0.225
#> b5        0.230
#> 
#> $gamma.mean
#>   (Intercept)       mod_num       mod_bin     mod_scale            c1 
#>  0.0002445455  1.7123386334  0.8660421590 -0.8090910331  0.3671440787 
#>            c2            c3            c4            c5            b1 
#> -0.1082780010 -1.2327381821  1.0013552679  0.0309333757  0.4398116693 
#>            b2            b3            b4            b5 
#> -0.1458602043 -0.1478051628 -0.5673799571 -0.4581484674 
#> 
#> $gamma.ci
#>       (Intercept)  mod_num   mod_bin  mod_scale        c1          c2        c3
#> 2.5%   -0.1960421 1.653901 0.7651300 -1.0294804 0.3023482 -0.17262039 -1.294049
#> 97.5%   0.1826738 1.766124 0.9914298 -0.6004137 0.4321175 -0.04491784 -1.167636
#>              c4          c5        b1          b2          b3         b4
#> 2.5%  0.9340744 -0.03774836 0.3195707 -0.25379517 -0.28233350 -0.6964797
#> 97.5% 1.0647618  0.09023491 0.5479024 -0.02413627 -0.02725549 -0.4420452
#>               b5
#> 2.5%  -0.5820324
#> 97.5% -0.3302555
#> 
#> $formula
#> y ~ .
#> <environment: 0x5616df0fe830>
#> 
#> attr(,"class")
#> [1] "summary.hdlm"

  # shiny app for HDLM
  if (interactive()) {
    shiny(hdlm.fit)
  }



  # The next two examples are for a mixture (or multivariate) exposure


  # Treed distributed lag mixture model (TDLMM)
  # Model for mixutre (or multivariate) lagged exposures
  # with a homogenious exposure-time-response function
  D <- sim.tdlmm(sim = "B", error = 25, n = 1000)
  tdlmm.fit <- dlmtree(y ~ .,
                       data = D$dat, exposure.data = D$exposures,
                       control.mix = list(interactions = "noself"),
                       dlm.type = "linear", family = "gaussian",
                       mixture = TRUE)
#> Preparing data...
#> 
#> Running TDLMM:
#> Burn-in % complete 
#> [0--------25--------50--------75--------100]
#>  ''''''''''''''''''''''''''''''''''''''''''
#> MCMC iterations (est time: 4 seconds)
#> [0--------25--------50--------75--------100]
#>  ''''''''''''''''''''''''''''''''''''''''''
#> Compiling results...

  # summarize results
  tdlmm.sum <- summary(tdlmm.fit)
#> Specified co-exposure values:
#> - e1 : 4.279363
#> - e2 : 4.57396
#> - e3 : 4.623083
#> - e4 : 4.238167
#> - e5 : 6.131547
#> 
#> Reconstructing main effects...
#> Reconstructing interaction effects...
#> 0%...25%...50%...75%...Calculating marginal effects...
#> Calculating fixed effects...

  # plot the marginal exposure-response for one exposure
  plot(tdlmm.sum, exposure1 = "e1")


  # plot exposure-response surface
  plot(tdlmm.sum, exposure1 = "e1", exposure2 = "e2")




  # heterogeneous version of TDLMM
  D <- sim.hdlmm(sim = "D", n = 1000)
  hdlmm.fit <- dlmtree(y ~ .,
                       data = D$dat,
                       exposure.data = D$exposures,
                       dlm.type = "linear",
                       family = "gaussian",
                       mixture = TRUE,
                       het = TRUE)
#> Preparing data...
#> 
#> Running HDLMM:
#> Burn-in % complete 
#> [0--------25--------50--------75--------100]
#>  ''''''''''''''''''''''''''''''''''''''''''
#> MCMC iterations (est time: 22 seconds)
#> [0--------25--------50--------75--------100]
#>  ''''''''''''''''''''''''''''''''''''''''''
#> Compiling results...

  # summarize results
  hdlmm.sum <- summary(hdlmm.fit)
  hdlmm.sum
#> $ctr
#> $ctr$class
#> [1] "hdlmm"
#> 
#> $ctr$n.trees
#> [1] 20
#> 
#> $ctr$n.iter
#> [1] 2000
#> 
#> $ctr$n.thin
#> [1] 10
#> 
#> $ctr$n.burn
#> [1] 1000
#> 
#> $ctr$response
#> [1] "gaussian"
#> 
#> 
#> $n.lag
#> [1] 37
#> 
#> $n.exp
#> [1] 3
#> 
#> $n.mix
#> [1] 3
#> 
#> $interaction
#> [1] 1
#> 
#> $exp.names
#> [1] "e1" "e2" "e3"
#> 
#> $mix.names
#> [1] "e1-e2" "e1-e3" "e2-e3"
#> 
#> $mix.prior
#> [1] 1
#> 
#> $mod.names
#>  [1] "mod_num"   "mod_bin"   "mod_scale" "c1"        "c2"        "c3"       
#>  [7] "c4"        "c5"        "b1"        "b2"        "b3"        "b4"       
#> [13] "b5"       
#> 
#> $mod.prior
#> [1] 0.5
#> 
#> $conf.level
#> [1] 0.95
#> 
#> $sig.to.noise
#> [1] NA
#> 
#> $rse
#> [1] 0.1305443
#> 
#> $n
#> [1] 1000
#> 
#> $pip
#>             PIP
#> mod_num   1.000
#> mod_bin   1.000
#> mod_scale 0.480
#> c1        0.495
#> c2        0.900
#> c3        0.510
#> c4        0.545
#> c5        0.500
#> b1        0.435
#> b2        0.525
#> b3        0.325
#> b4        0.470
#> b5        0.805
#> 
#> $gamma.mean
#>   (Intercept)       mod_num       mod_bin     mod_scale            c1 
#>  0.0000408459 -0.1097132136 -0.4808581261 -0.4344021785 -1.7410130009 
#>            c2            c3            c4            c5            b1 
#> -1.7480143149 -2.0467080262  0.2599015138 -0.7293877431  1.0846350237 
#>            b2            b3            b4            b5 
#> -1.3850195467  2.0173293957 -0.3314154356  0.1519517615 
#> 
#> $gamma.ci
#>       (Intercept)    mod_num    mod_bin  mod_scale        c1        c2
#> 2.5%   -0.2356712 -0.2086844 -0.6430927 -0.6360352 -1.803458 -1.817836
#> 97.5%   0.2447792 -0.0147612 -0.3332860 -0.2192785 -1.685850 -1.684061
#>              c3        c4         c5        b1        b2       b3         b4
#> 2.5%  -2.116960 0.1938536 -0.7883051 0.9629671 -1.525780 1.883216 -0.4704337
#> 97.5% -1.981073 0.3319740 -0.6706479 1.2142027 -1.240009 2.159633 -0.2128302
#>                b5
#> 2.5%  -0.01059205
#> 97.5%  0.30134552
#> 
#> $formula
#> y ~ .
#> <environment: 0x5616df0fe830>
#> 
#> attr(,"class")
#> [1] "summary.hdlmm"

  # summarize results
  if (interactive()) {
    shiny(hdlmm.fit)
  }


# }