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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,
  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).

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] 0.2022322
#> 
#> $rse
#> [1] 0
#> 
#> $n
#> [1] 1000
#> 
#> $matfit
#>  [1]  0.0080643570  0.0041229714  0.0070913593  0.0068576677  0.0057602633
#>  [6]  0.0024153681 -0.0011957739 -0.0060546758 -0.0081682549 -0.0074412274
#> [11] -0.0068802770 -0.0030292656  0.0007884911  0.0062279315  0.0092141692
#> [16]  0.0102715415  0.0094927422  0.0147990116  0.0277838883  0.0402109639
#> [21]  0.0542117792  0.1138916250  0.1177125197  0.1169339882  0.1015244792
#> [26]  0.0953374280  0.0558067963  0.0047928425  0.0026319280 -0.0019186285
#> [31] -0.0082937985 -0.0078658962 -0.0061045048 -0.0026802000 -0.0003908520
#> [36] -0.0008014059  0.0031780308
#> 
#> $cilower
#>  [1] -0.03301816 -0.03277974 -0.02645146 -0.01924514 -0.02605587 -0.02828722
#>  [7] -0.04082016 -0.05075107 -0.05554114 -0.04677224 -0.04611749 -0.03858785
#> [13] -0.03131607 -0.02782116 -0.02245884 -0.02776494 -0.05013217 -0.02959275
#> [19] -0.01973634 -0.01236464 -0.01167314  0.05074356  0.05224018  0.04938160
#> [25]  0.01960324  0.01739656 -0.02589788 -0.04882300 -0.04771592 -0.05419332
#> [31] -0.05758256 -0.04917647 -0.05017188 -0.04399975 -0.03532641 -0.04191435
#> [37] -0.04151786
#> 
#> $ciupper
#>  [1] 0.08027373 0.05145767 0.05020728 0.04632383 0.04619321 0.03566578
#>  [7] 0.03022854 0.02446406 0.02385699 0.01813352 0.02404091 0.02862653
#> [13] 0.03183830 0.04384448 0.05131304 0.05101657 0.05485762 0.07018150
#> [19] 0.10114152 0.11679955 0.13517534 0.18596620 0.18759470 0.18751462
#> [25] 0.17403889 0.17815551 0.14658341 0.06503692 0.06329912 0.04698862
#> [31] 0.02917582 0.03106028 0.03745759 0.03238843 0.05172128 0.05924452
#> [37] 0.06856502
#> 
#> $cumulative.effect
#>      mean      2.5%     97.5% 
#> 0.7582974 0.3604214 1.1422907 
#> 
#> $formula
#> y ~ .
#> <environment: 0x560a12b57ba0>
#> 
#> $gamma.mean
#>  (Intercept)           c1           c2           c3           c4           c5 
#>  0.015116403  0.089077368 -0.148718615 -0.080056384 -0.053345863 -0.149920771 
#>           b1           b2           b3           b4           b5 
#>  0.039214207 -0.283187098  0.177389126  0.009262515  0.178222824 
#> 
#> $gamma.ci
#>       (Intercept)          c1          c2          c3          c4         c5
#> 2.5%   -0.2574239 -0.02386233 -0.26127652 -0.22738768 -0.19280488 -0.2829940
#> 97.5%   0.3101935  0.19857171 -0.02764447  0.04574338  0.06903427 -0.0227069
#>               b1           b2          b3         b4          b5
#> 2.5%  -0.2225395 -0.550004802 -0.08975365 -0.2674135 -0.07181459
#> 97.5%  0.3213861  0.003684051  0.47712052  0.2647797  0.45371245
#> 
#> 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] 0.8563032
#> 
#> $rse
#> [1] 0.1218228
#> 
#> $n
#> [1] 926
#> 
#> $plot.dat
#>     Tmin Tmax     Xmin     Xmax  PredVal           Est         SD         CIMin
#> 1      0    1 1.062245 1.699981 1.648694  0.0487012254 0.05482752 -0.0195451661
#> 2      0    1 1.699981 1.775368 1.751268  0.0765841754 0.07549938 -0.0327468329
#> 3      0    1 1.775368 1.835269 1.799468  0.0868929516 0.08236848 -0.0546986008
#> 4      0    1 1.835269 1.892682 1.871069  0.0955581644 0.08937826 -0.0752062455
#> 5      0    1 1.892682 1.933662 1.914296  0.0963975877 0.09226530 -0.0739794615
#> 6      0    1 1.933662 1.972404 1.953028  0.0945223850 0.09432797 -0.0927743903
#> 7      0    1 1.972404 2.008396 1.991781  0.0906143034 0.09610754 -0.1020028813
#> 8      0    1 2.008396 2.041395 2.025010  0.0861051165 0.09751630 -0.1106403148
#> 9      0    1 2.041395 2.076143 2.057780  0.0810614829 0.09884546 -0.1380868425
#> 10     0    1 2.076143 2.117286 2.094506  0.0752401592 0.10026147 -0.1695046414
#> 11     0    1 2.117286 2.163326 2.140066  0.0686030010 0.10183796 -0.1795638966
#> 12     0    1 2.163326 2.205605 2.186586  0.0634084559 0.10313101 -0.2149208548
#> 13     0    1 2.205605 2.246900 2.224624  0.0608787908 0.10390918 -0.2286270080
#> 14     0    1 2.246900 2.293677 2.269176  0.0602472648 0.10453909 -0.2323194442
#> 15     0    1 2.293677 2.343877 2.318177  0.0625909624 0.10502037 -0.2326156358
#> 16     0    1 2.343877 2.403865 2.369576  0.0682214687 0.10550319 -0.2292717747
#> 17     0    1 2.403865 2.496138 2.438154  0.0795953588 0.10643671 -0.2151614961
#> 18     0    1 2.496138 2.627070 2.554122  0.1028855989 0.10901185 -0.1837562422
#> 19     0    1 2.627070 3.622562 2.700018  0.1271901475 0.11284969 -0.1428151255
#> 20     1    2 1.062245 1.699981 1.648694  0.0500882393 0.05575362 -0.0195959900
#> 21     1    2 1.699981 1.775368 1.751268  0.0795341156 0.07520214 -0.0303829253
#> 22     1    2 1.775368 1.835269 1.799468  0.0908776880 0.08062312 -0.0334611317
#> 23     1    2 1.835269 1.892682 1.871069  0.1014869223 0.08461471 -0.0396459300
#> 24     1    2 1.892682 1.933662 1.914296  0.1037448977 0.08548489 -0.0574058774
#> 25     1    2 1.933662 1.972404 1.953028  0.1032867914 0.08582496 -0.0592699760
#> 26     1    2 1.972404 2.008396 1.991781  0.1009085387 0.08606116 -0.0795862089
#> 27     1    2 2.008396 2.041395 2.025010  0.0977687192 0.08630741 -0.0857570825
#> 28     1    2 2.041395 2.076143 2.057780  0.0940915446 0.08661083 -0.0863912462
#> 29     1    2 2.076143 2.117286 2.094506  0.0897724072 0.08696837 -0.0852784409
#> 30     1    2 2.117286 2.163326 2.140066  0.0848753165 0.08729416 -0.0808494989
#> 31     1    2 2.163326 2.205605 2.186586  0.0812286268 0.08736320 -0.0838698528
#> 32     1    2 2.205605 2.246900 2.224624  0.0797496892 0.08723319 -0.0889347599
#> 33     1    2 2.246900 2.293677 2.269176  0.0800906827 0.08701030 -0.0916993548
#> 34     1    2 2.293677 2.343877 2.318177  0.0832134195 0.08692691 -0.0916625120
#> 35     1    2 2.343877 2.403865 2.369576  0.0894161332 0.08726601 -0.0898814649
#> 36     1    2 2.403865 2.496138 2.438154  0.1013522178 0.08854953 -0.0797537329
#> 37     1    2 2.496138 2.627070 2.554122  0.1256100596 0.09232654 -0.0594226074
#> 38     1    2 2.627070 3.622562 2.700018  0.1514948181 0.09793865 -0.0223455927
#> 39     2    3 1.062245 1.699981 1.648694  0.0545705913 0.05592441 -0.0045782536
#> 40     2    3 1.699981 1.775368 1.751268  0.0872302183 0.07500272 -0.0075780969
#> 41     2    3 1.775368 1.835269 1.799468  0.1001584391 0.07992676 -0.0080452706
#> 42     2    3 1.835269 1.892682 1.871069  0.1130009314 0.08255905 -0.0083387224
#> 43     2    3 1.892682 1.933662 1.914296  0.1164782898 0.08223413 -0.0113814898
#> 44     2    3 1.933662 1.972404 1.953028  0.1170096498 0.08134622 -0.0145790854
#> 45     2    3 1.972404 2.008396 1.991781  0.1155155746 0.08033426 -0.0184593363
#> 46     2    3 2.008396 2.041395 2.025010  0.1130457396 0.07960592 -0.0232859612
#> 47     2    3 2.041395 2.076143 2.057780  0.1099471745 0.07911633 -0.0313993182
#> 48     2    3 2.076143 2.117286 2.094506  0.1061779245 0.07883626 -0.0356222114
#> 49     2    3 2.117286 2.163326 2.140066  0.1018180778 0.07874068 -0.0425538147
#> 50     2    3 2.163326 2.205605 2.186586  0.0985596912 0.07871281 -0.0493622060
#> 51     2    3 2.205605 2.246900 2.224624  0.0972870848 0.07865764 -0.0522242652
#> 52     2    3 2.246900 2.293677 2.269176  0.0977588924 0.07859831 -0.0568824967
#> 53     2    3 2.293677 2.343877 2.318177  0.1009137634 0.07870094 -0.0574764455
#> 54     2    3 2.343877 2.403865 2.369576  0.1070602912 0.07918595 -0.0565089173
#> 55     2    3 2.403865 2.496138 2.438154  0.1188422562 0.08058011 -0.0511449756
#> 56     2    3 2.496138 2.627070 2.554122  0.1428142519 0.08462760 -0.0307645384
#> 57     2    3 2.627070 3.622562 2.700018  0.1685164976 0.09142332  0.0054159069
#> 58     3    4 1.062245 1.699981 1.648694  0.0540396346 0.05624438 -0.0072888137
#> 59     3    4 1.699981 1.775368 1.751268  0.0864948231 0.07554001 -0.0075780969
#> 60     3    4 1.775368 1.835269 1.799468  0.0993160412 0.08058397 -0.0080452706
#> 61     3    4 1.835269 1.892682 1.871069  0.1119388093 0.08338536 -0.0083387224
#> 62     3    4 1.892682 1.933662 1.914296  0.1152303369 0.08312501 -0.0113814898
#> 63     3    4 1.933662 1.972404 1.953028  0.1155579514 0.08224970 -0.0148470886
#> 64     3    4 1.972404 2.008396 1.991781  0.1138297450 0.08120314 -0.0199271815
#> 65     3    4 2.008396 2.041395 2.025010  0.1111426495 0.08041781 -0.0246331847
#> 66     3    4 2.041395 2.076143 2.057780  0.1078236608 0.07986679 -0.0313993182
#> 67     3    4 2.076143 2.117286 2.094506  0.1038112446 0.07953971 -0.0356222114
#> 68     3    4 2.117286 2.163326 2.140066  0.0991727429 0.07945563 -0.0426962617
#> 69     3    4 2.163326 2.205605 2.186586  0.0956733973 0.07953764 -0.0520021998
#> 70     3    4 2.205605 2.246900 2.224624  0.0942439347 0.07963496 -0.0560547413
#> 71     3    4 2.246900 2.293677 2.269176  0.0945785992 0.07979434 -0.0598094645
#> 72     3    4 2.293677 2.343877 2.318177  0.0976311445 0.08014134 -0.0667685442
#> 73     3    4 2.343877 2.403865 2.369576  0.1037009640 0.08083729 -0.0679829523
#> 74     3    4 2.403865 2.496138 2.438154  0.1153638994 0.08236869 -0.0605289504
#> 75     3    4 2.496138 2.627070 2.554122  0.1388282835 0.08601081 -0.0394444543
#> 76     3    4 2.627070 3.622562 2.700018  0.1631119699 0.09029589 -0.0060909104
#> 77     4    5 1.062245 1.699981 1.648694  0.0580377637 0.05640751 -0.0038820225
#> 78     4    5 1.699981 1.775368 1.751268  0.0932111966 0.07513313 -0.0057944501
#> 79     4    5 1.775368 1.835269 1.799468  0.1074081656 0.07967985 -0.0018470316
#> 80     4    5 1.835269 1.892682 1.871069  0.1220568633 0.08162311 -0.0053503628
#> 81     4    5 1.892682 1.933662 1.914296  0.1265113181 0.08088747 -0.0067745339
#> 82     4    5 1.933662 1.972404 1.953028  0.1278165658 0.07965781 -0.0057446043
#> 83     4    5 1.972404 2.008396 1.991781  0.1269898847 0.07832016 -0.0027790784
#> 84     4    5 2.008396 2.041395 2.025010  0.1250059200 0.07731499  0.0017998487
#> 85     4    5 2.041395 2.076143 2.057780  0.1223119799 0.07655371  0.0075937968
#> 86     4    5 2.076143 2.117286 2.094506  0.1189164766 0.07598436  0.0011319563
#> 87     4    5 2.117286 2.163326 2.140066  0.1149206274 0.07558891 -0.0135488217
#> 88     4    5 2.163326 2.205605 2.186586  0.1119436137 0.07535722 -0.0168227917
#> 89     4    5 2.205605 2.246900 2.224624  0.1108492590 0.07521211 -0.0309586275
#> 90     4    5 2.246900 2.293677 2.269176  0.1114840325 0.07510449 -0.0462824513
#> 91     4    5 2.293677 2.343877 2.318177  0.1147703615 0.07517370 -0.0431053502
#> 92     4    5 2.343877 2.403865 2.369576  0.1210020555 0.07560757 -0.0374207565
#> 93     4    5 2.403865 2.496138 2.438154  0.1327954125 0.07693082 -0.0217921600
#> 94     4    5 2.496138 2.627070 2.554122  0.1564111875 0.08101567  0.0116168834
#> 95     4    5 2.627070 3.622562 2.700018  0.1809664082 0.08709892  0.0305010117
#> 96     5    6 1.062245 1.699981 1.648694  0.0592705315 0.05874018 -0.0038820225
#> 97     5    6 1.699981 1.775368 1.751268  0.0952544822 0.07827530 -0.0057944501
#> 98     5    6 1.775368 1.835269 1.799468  0.1098882865 0.08295862 -0.0018470316
#> 99     5    6 1.835269 1.892682 1.871069  0.1252606250 0.08484068 -0.0053503410
#> 100    5    6 1.892682 1.933662 1.914296  0.1301967156 0.08400260 -0.0067745339
#> 101    5    6 1.933662 1.972404 1.953028  0.1319566131 0.08269445 -0.0057446043
#> 102    5    6 1.972404 2.008396 1.991781  0.1315962904 0.08130445 -0.0021664741
#> 103    5    6 2.008396 2.041395 2.025010  0.1300105557 0.08026209  0.0027239846
#> 104    5    6 2.041395 2.076143 2.057780  0.1276971661 0.07944866  0.0087255639
#> 105    5    6 2.076143 2.117286 2.094506  0.1247015692 0.07877966  0.0112900431
#> 106    5    6 2.117286 2.163326 2.140066  0.1211458890 0.07819019  0.0111038638
#> 107    5    6 2.163326 2.205605 2.186586  0.1185406852 0.07770956  0.0094955157
#> 108    5    6 2.205605 2.246900 2.224624  0.1176889470 0.07736020  0.0075593597
#> 109    5    6 2.246900 2.293677 2.269176  0.1185422073 0.07704440  0.0045168044
#> 110    5    6 2.293677 2.343877 2.318177  0.1220002051 0.07692949  0.0012933600
#> 111    5    6 2.343877 2.403865 2.369576  0.1283553159 0.07719332  0.0002662257
#> 112    5    6 2.403865 2.496138 2.438154  0.1402595271 0.07826214 -0.0004596495
#> 113    5    6 2.496138 2.627070 2.554122  0.1640084863 0.08178609  0.0153531442
#> 114    5    6 2.627070 3.622562 2.700018  0.1886910108 0.08713085  0.0412480527
#> 115    6    7 1.062245 1.699981 1.648694  0.0596522781 0.05839446 -0.0028542593
#> 116    6    7 1.699981 1.775368 1.751268  0.0959225567 0.07773504 -0.0006679883
#> 117    6    7 1.775368 1.835269 1.799468  0.1106912775 0.08237855 -0.0015157332
#> 118    6    7 1.835269 1.892682 1.871069  0.1262333058 0.08430997 -0.0053565211
#> 119    6    7 1.892682 1.933662 1.914296  0.1312453077 0.08355715 -0.0067745339
#> 120    6    7 1.933662 1.972404 1.953028  0.1330546459 0.08233764 -0.0057446043
#> 121    6    7 1.972404 2.008396 1.991781  0.1327274726 0.08102203 -0.0021664741
#> 122    6    7 2.008396 2.041395 2.025010  0.1311589499 0.08001479  0.0027239846
#> 123    6    7 2.041395 2.076143 2.057780  0.1288540713 0.07920119  0.0087255639
#> 124    6    7 2.076143 2.117286 2.094506  0.1258595730 0.07848959  0.0114270783
#> 125    6    7 2.117286 2.163326 2.140066  0.1222941317 0.07779542  0.0110734380
#> 126    6    7 2.163326 2.205605 2.186586  0.1196661499 0.07716969  0.0094955157
#> 127    6    7 2.205605 2.246900 2.224624  0.1187854697 0.07668802  0.0075593597
#> 128    6    7 2.246900 2.293677 2.269176  0.1195929350 0.07621283  0.0045168044
#> 129    6    7 2.293677 2.343877 2.318177  0.1229883208 0.07592343  0.0012933600
#> 130    6    7 2.343877 2.403865 2.369576  0.1292714590 0.07600680  0.0018215551
#> 131    6    7 2.403865 2.496138 2.438154  0.1410899110 0.07684359  0.0140389537
#> 132    6    7 2.496138 2.627070 2.554122  0.1647854933 0.08006476  0.0407569013
#> 133    6    7 2.627070 3.622562 2.700018  0.1895806171 0.08531814  0.0666471052
#> 134    7    8 1.062245 1.699981 1.648694  0.0602020594 0.05991181 -0.0028542593
#> 135    7    8 1.699981 1.775368 1.751268  0.0967398010 0.07985636 -0.0006679883
#> 136    7    8 1.775368 1.835269 1.799468  0.1116047370 0.08466670  0.0002835580
#> 137    7    8 1.835269 1.892682 1.871069  0.1272414109 0.08668976 -0.0015359371
#> 138    7    8 1.892682 1.933662 1.914296  0.1322859274 0.08592469 -0.0035052152
#> 139    7    8 1.933662 1.972404 1.953028  0.1341133795 0.08467344 -0.0003901137
#> 140    7    8 1.972404 2.008396 1.991781  0.1337977898 0.08332255  0.0033572474
#> 141    7    8 2.008396 2.041395 2.025010  0.1322362360 0.08228944  0.0067579672
#> 142    7    8 2.041395 2.076143 2.057780  0.1299366939 0.08145507  0.0087255639
#> 143    7    8 2.076143 2.117286 2.094506  0.1269467766 0.08072110  0.0133734837
#> 144    7    8 2.117286 2.163326 2.140066  0.1233845367 0.07998795  0.0133306771
#> 145    7    8 2.163326 2.205605 2.186586  0.1207560080 0.07929623  0.0101350321
#> 146    7    8 2.205605 2.246900 2.224624  0.1198717781 0.07873891  0.0067299474
#> 147    7    8 2.246900 2.293677 2.269176  0.1206724486 0.07816084  0.0025773044
#> 148    7    8 2.293677 2.343877 2.318177  0.1240595390 0.07776684  0.0051737739
#> 149    7    8 2.343877 2.403865 2.369576  0.1303363478 0.07778532  0.0068648354
#> 150    7    8 2.403865 2.496138 2.438154  0.1421528857 0.07864044  0.0152172819
#> 151    7    8 2.496138 2.627070 2.554122  0.1658476224 0.08207606  0.0425210005
#> 152    7    8 2.627070 3.622562 2.700018  0.1905932830 0.08762174  0.0704444832
#> 153    8    9 1.062245 1.699981 1.648694  0.0603184809 0.06003832 -0.0028542593
#> 154    8    9 1.699981 1.775368 1.751268  0.0969527540 0.08029729 -0.0006679883
#> 155    8    9 1.775368 1.835269 1.799468  0.1118453474 0.08533508  0.0002835580
#> 156    8    9 1.835269 1.892682 1.871069  0.1274551607 0.08773506 -0.0015359371
#> 157    8    9 1.892682 1.933662 1.914296  0.1324236908 0.08718077 -0.0035052152
#> 158    8    9 1.933662 1.972404 1.953028  0.1341367968 0.08609018 -0.0003901137
#> 159    8    9 1.972404 2.008396 1.991781  0.1336626223 0.08487206  0.0033572474
#> 160    8    9 2.008396 2.041395 2.025010  0.1319336303 0.08393587  0.0067579672
#> 161    8    9 2.041395 2.076143 2.057780  0.1294468459 0.08318774  0.0087255639
#> 162    8    9 2.076143 2.117286 2.094506  0.1262310499 0.08254346  0.0133734837
#> 163    8    9 2.117286 2.163326 2.140066  0.1223839670 0.08191041  0.0133306771
#> 164    8    9 2.163326 2.205605 2.186586  0.1194824367 0.08130159  0.0101350321
#> 165    8    9 2.205605 2.246900 2.224624  0.1184018278 0.08079521  0.0044412405
#> 166    8    9 2.246900 2.293677 2.269176  0.1190106724 0.08026183 -0.0009191738
#> 167    8    9 2.293677 2.343877 2.318177  0.1222324631 0.07990697 -0.0051101176
#> 168    8    9 2.343877 2.403865 2.369576  0.1283723988 0.07995518  0.0018215551
#> 169    8    9 2.403865 2.496138 2.438154  0.1400208055 0.08079157  0.0132487735
#> 170    8    9 2.496138 2.627070 2.554122  0.1633175899 0.08383684  0.0391444292
#> 171    8    9 2.627070 3.622562 2.700018  0.1872740192 0.08824820  0.0514485697
#> 172    9   10 1.062245 1.699981 1.648694  0.0598230735 0.06044146 -0.0040561381
#> 173    9   10 1.699981 1.775368 1.751268  0.0959265738 0.08132427 -0.0076453233
#> 174    9   10 1.775368 1.835269 1.799468  0.1104332528 0.08689655 -0.0080452706
#> 175    9   10 1.835269 1.892682 1.871069  0.1252655597 0.09049085 -0.0095103152
#> 176    9   10 1.892682 1.933662 1.914296  0.1296476708 0.09088825 -0.0089969835
#> 177    9   10 1.933662 1.972404 1.953028  0.1307752860 0.09075624 -0.0086407069
#> 178    9   10 1.972404 2.008396 1.991781  0.1296795708 0.09054027 -0.0095662566
#> 179    9   10 2.008396 2.041395 2.025010  0.1274087673 0.09045049 -0.0157987407
#> 180    9   10 2.041395 2.076143 2.057780  0.1243978902 0.09048894 -0.0143276555
#> 181    9   10 2.076143 2.117286 2.094506  0.1206270428 0.09063740 -0.0164222965
#> 182    9   10 2.117286 2.163326 2.140066  0.1161667242 0.09082215 -0.0182849364
#> 183    9   10 2.163326 2.205605 2.186586  0.1127488768 0.09083100 -0.0198918699
#> 184    9   10 2.205605 2.246900 2.224624  0.1113358426 0.09065548 -0.0208040610
#> 185    9   10 2.246900 2.293677 2.269176  0.1116542192 0.09031601 -0.0262893188
#> 186    9   10 2.293677 2.343877 2.318177  0.1146633604 0.08997466 -0.0356143532
#> 187    9   10 2.343877 2.403865 2.369576  0.1206725299 0.08990127 -0.0321274785
#> 188    9   10 2.403865 2.496138 2.438154  0.1322407919 0.09053088 -0.0237235738
#> 189    9   10 2.496138 2.627070 2.554122  0.1555083310 0.09337856 -0.0063099685
#> 190    9   10 2.627070 3.622562 2.700018  0.1794655819 0.09765205  0.0224977086
#> 191   10   11 1.062245 1.699981 1.648694  0.0238199832 0.06191974 -0.0408640313
#> 192   10   11 1.699981 1.775368 1.751268 -0.0304547263 0.08630177 -0.1404490081
#> 193   10   11 1.775368 1.835269 1.799468 -0.0942833696 0.09504912 -0.2273764305
#> 194   10   11 1.835269 1.892682 1.871069 -0.2449007747 0.10547880 -0.3909834113
#> 195   10   11 1.892682 1.933662 1.914296 -0.3645358300 0.11059441 -0.5252221730
#> 196   10   11 1.933662 1.972404 1.953028 -0.4836267027 0.11423305 -0.6537690982
#> 197   10   11 1.972404 2.008396 1.991781 -0.6069859083 0.11664309 -0.7806639926
#> 198   10   11 2.008396 2.041395 2.025010 -0.7105435179 0.11752936 -0.8898541880
#> 199   10   11 2.041395 2.076143 2.057780 -0.8062480512 0.11730121 -0.9871487717
#> 200   10   11 2.076143 2.117286 2.094506 -0.9018820349 0.11589704 -1.0825760741
#> 201   10   11 2.117286 2.163326 2.140066 -0.9992928438 0.11297588 -1.1774321498
#> 202   10   11 2.163326 2.205605 2.186586 -1.0728597029 0.10943434 -1.2475492119
#> 203   10   11 2.205605 2.246900 2.224624 -1.1147402581 0.10666455 -1.2878090072
#> 204   10   11 2.246900 2.293677 2.269176 -1.1460821111 0.10401548 -1.3191173667
#> 205   10   11 2.293677 2.343877 2.318177 -1.1634795471 0.10217635 -1.3381522835
#> 206   10   11 2.343877 2.403865 2.369576 -1.1684569397 0.10159320 -1.3410654213
#> 207   10   11 2.403865 2.496138 2.438154 -1.1627890781 0.10270550 -1.3333350008
#> 208   10   11 2.496138 2.627070 2.554122 -1.1415527906 0.10716014 -1.3153710751
#> 209   10   11 2.627070 3.622562 2.700018 -1.1177851820 0.11201285 -1.2774445180
#> 210   11   12 1.062245 1.699981 1.648694  0.0230873280 0.05948982 -0.0408640313
#> 211   11   12 1.699981 1.775368 1.751268 -0.0317774973 0.08281651 -0.1404490081
#> 212   11   12 1.775368 1.835269 1.799468 -0.0959455148 0.09118747 -0.2273764305
#> 213   11   12 1.835269 1.892682 1.871069 -0.2471132551 0.10121804 -0.3909834113
#> 214   11   12 1.892682 1.933662 1.914296 -0.3670863308 0.10616805 -0.5252221730
#> 215   11   12 1.933662 1.972404 1.953028 -0.4864685207 0.10968950 -0.6542972866
#> 216   11   12 1.972404 2.008396 1.991781 -0.6100974382 0.11199889 -0.7806639926
#> 217   11   12 2.008396 2.041395 2.025010 -0.7138628575 0.11280508 -0.8898541880
#> 218   11   12 2.041395 2.076143 2.057780 -0.8097480007 0.11250041 -0.9871487717
#> 219   11   12 2.076143 2.117286 2.094506 -0.9055548056 0.11101303 -1.0825760741
#> 220   11   12 2.117286 2.163326 2.140066 -1.0031391666 0.10799629 -1.1774321498
#> 221   11   12 2.163326 2.205605 2.186586 -1.0768436901 0.10437380 -1.2475492119
#> 222   11   12 2.205605 2.246900 2.224624 -1.1188135272 0.10155544 -1.2878090072
#> 223   11   12 2.246900 2.293677 2.269176 -1.1502397144 0.09887130 -1.3189968212
#> 224   11   12 2.293677 2.343877 2.318177 -1.1677101184 0.09701555 -1.3295371903
#> 225   11   12 2.343877 2.403865 2.369576 -1.1727451197 0.09642574 -1.3348502755
#> 226   11   12 2.403865 2.496138 2.438154 -1.1671263095 0.09752208 -1.3318520588
#> 227   11   12 2.496138 2.627070 2.554122 -1.1459131722 0.10196516 -1.3072490027
#> 228   11   12 2.627070 3.622562 2.700018 -1.1221278086 0.10708665 -1.2972672498
#> 229   12   13 1.062245 1.699981 1.648694  0.0193544812 0.06156473 -0.0627507444
#> 230   12   13 1.699981 1.775368 1.751268 -0.0376177818 0.08582360 -0.1506623798
#> 231   12   13 1.775368 1.835269 1.799468 -0.1027551333 0.09451819 -0.2361359211
#> 232   12   13 1.835269 1.892682 1.871069 -0.2552470935 0.10480828 -0.4092046042
#> 233   12   13 1.892682 1.933662 1.914296 -0.3759180183 0.10977345 -0.5396039534
#> 234   12   13 1.933662 1.972404 1.953028 -0.4958382946 0.11323993 -0.6654649835
#> 235   12   13 1.972404 2.008396 1.991781 -0.6199080083 0.11547154 -0.7921889414
#> 236   12   13 2.008396 2.041395 2.025010 -0.7239664930 0.11623200 -0.9001855181
#> 237   12   13 2.041395 2.076143 2.057780 -0.8200627654 0.11593264 -0.9945952607
#> 238   12   13 2.076143 2.117286 2.094506 -0.9160198284 0.11453540 -1.0948348044
#> 239   12   13 2.117286 2.163326 2.140066 -1.0136836543 0.11176461 -1.1914790222
#> 240   12   13 2.163326 2.205605 2.186586 -1.0873825613 0.10851972 -1.2614048649
#> 241   12   13 2.205605 2.246900 2.224624 -1.1293118420 0.10606512 -1.3008934410
#> 242   12   13 2.246900 2.293677 2.269176 -1.1606789651 0.10381857 -1.3273908770
#> 243   12   13 2.293677 2.343877 2.318177 -1.1780978970 0.10239954 -1.3398749257
#> 244   12   13 2.343877 2.403865 2.369576 -1.1831152487 0.10215986 -1.3526836807
#> 245   12   13 2.403865 2.496138 2.438154 -1.1775474016 0.10349552 -1.3521017179
#> 246   12   13 2.496138 2.627070 2.554122 -1.1566118300 0.10786033 -1.3282930184
#> 247   12   13 2.627070 3.622562 2.700018 -1.1333823412 0.11276184 -1.3064367328
#> 248   13   14 1.062245 1.699981 1.648694  0.0184138514 0.06070184 -0.0627507444
#> 249   13   14 1.699981 1.775368 1.751268 -0.0390524950 0.08452446 -0.1506623798
#> 250   13   14 1.775368 1.835269 1.799468 -0.1044176479 0.09300643 -0.2361359211
#> 251   13   14 1.835269 1.892682 1.871069 -0.2572606907 0.10292464 -0.4092046042
#> 252   13   14 1.892682 1.933662 1.914296 -0.3781670915 0.10761852 -0.5396039534
#> 253   13   14 1.933662 1.972404 1.953028 -0.4983204013 0.11082447 -0.6654649835
#> 254   13   14 1.972404 2.008396 1.991781 -0.6226432917 0.11280859 -0.7921889414
#> 255   13   14 2.008396 2.041395 2.025010 -0.7269294328 0.11339776 -0.9001855181
#> 256   13   14 2.041395 2.076143 2.057780 -0.8232515460 0.11299327 -0.9931924119
#> 257   13   14 2.076143 2.117286 2.094506 -0.9194509251 0.11157604 -1.0869386363
#> 258   13   14 2.117286 2.163326 2.140066 -1.0173777557 0.10893153 -1.1876752011
#> 259   13   14 2.163326 2.205605 2.186586 -1.0912782014 0.10594861 -1.2573867569
#> 260   13   14 2.205605 2.246900 2.224624 -1.1333104813 0.10375196 -1.2927742679
#> 261   13   14 2.246900 2.293677 2.269176 -1.1647251269 0.10179623 -1.3226787522
#> 262   13   14 2.293677 2.343877 2.318177 -1.1821154734 0.10064762 -1.3395631131
#> 263   13   14 2.343877 2.403865 2.369576 -1.1870365564 0.10065171 -1.3498806804
#> 264   13   14 2.403865 2.496138 2.438154 -1.1812898101 0.10232003 -1.3510714164
#> 265   13   14 2.496138 2.627070 2.554122 -1.1600777764 0.10727811 -1.3229538712
#> 266   13   14 2.627070 3.622562 2.700018 -1.1366781476 0.11254993 -1.3064367328
#> 267   14   15 1.062245 1.699981 1.648694  0.0168303691 0.06544057 -0.0627507444
#> 268   14   15 1.699981 1.775368 1.751268 -0.0420712121 0.09331506 -0.1704711750
#> 269   14   15 1.775368 1.835269 1.799468 -0.1081230481 0.10398131 -0.2534938872
#> 270   14   15 1.835269 1.892682 1.871069 -0.2617958274 0.11700314 -0.4373663441
#> 271   14   15 1.892682 1.933662 1.914296 -0.3830280635 0.12327907 -0.5784496649
#> 272   14   15 1.933662 1.972404 1.953028 -0.5033434702 0.12765465 -0.7121881694
#> 273   14   15 1.972404 2.008396 1.991781 -0.6277079282 0.13058588 -0.8458806048
#> 274   14   15 2.008396 2.041395 2.025010 -0.7319422272 0.13183632 -0.9546388526
#> 275   14   15 2.041395 2.076143 2.057780 -0.8281448931 0.13197211 -1.0523351858
#> 276   14   15 2.076143 2.117286 2.094506 -0.9241438963 0.13105003 -1.1470844117
#> 277   14   15 2.117286 2.163326 2.140066 -1.0217476299 0.12888047 -1.2431271593
#> 278   14   15 2.163326 2.205605 2.186586 -1.0952605522 0.12624617 -1.3164217580
#> 279   14   15 2.205605 2.246900 2.224624 -1.1369517979 0.12425185 -1.3570029134
#> 280   14   15 2.246900 2.293677 2.269176 -1.1679596313 0.12245964 -1.3861417625
#> 281   14   15 2.293677 2.343877 2.318177 -1.1849180688 0.12140796 -1.3962571809
#> 282   14   15 2.343877 2.403865 2.369576 -1.1894319148 0.12139803 -1.3931276335
#> 283   14   15 2.403865 2.496138 2.438154 -1.1832557885 0.12278473 -1.3837265056
#> 284   14   15 2.496138 2.627070 2.554122 -1.1616653741 0.12646249 -1.3608050983
#> 285   14   15 2.627070 3.622562 2.700018 -1.1382359358 0.12950654 -1.3284432310
#> 286   15   16 1.062245 1.699981 1.648694  0.0164562183 0.04915183 -0.0994907426
#> 287   15   16 1.699981 1.775368 1.751268  0.0160623631 0.07452468 -0.1636458482
#> 288   15   16 1.775368 1.835269 1.799468  0.0108237347 0.08511810 -0.2050722256
#> 289   15   16 1.835269 1.892682 1.871069 -0.0039175127 0.09689444 -0.2647038209
#> 290   15   16 1.892682 1.933662 1.914296 -0.0160776953 0.10144969 -0.2973475400
#> 291   15   16 1.933662 1.972404 1.953028 -0.0280709998 0.10421453 -0.3236146223
#> 292   15   16 1.972404 2.008396 1.991781 -0.0401633303 0.10615633 -0.3467380955
#> 293   15   16 2.008396 2.041395 2.025010 -0.0499210710 0.10744472 -0.3638889042
#> 294   15   16 2.041395 2.076143 2.057780 -0.0584910181 0.10853002 -0.3930895546
#> 295   15   16 2.076143 2.117286 2.094506 -0.0664324804 0.10960364 -0.4037204687
#> 296   15   16 2.117286 2.163326 2.140066 -0.0734521669 0.11073960 -0.4049214965
#> 297   15   16 2.163326 2.205605 2.186586 -0.0772554307 0.11165194 -0.4083901226
#> 298   15   16 2.205605 2.246900 2.224624 -0.0779433897 0.11220712 -0.4089380635
#> 299   15   16 2.246900 2.293677 2.269176 -0.0762262992 0.11264598 -0.4050851879
#> 300   15   16 2.293677 2.343877 2.318177 -0.0715846751 0.11286491 -0.3962207389
#> 301   15   16 2.343877 2.403865 2.369576 -0.0641713118 0.11279873 -0.3835478996
#> 302   15   16 2.403865 2.496138 2.438154 -0.0514511559 0.11236846 -0.3653567237
#> 303   15   16 2.496138 2.627070 2.554122 -0.0277260211 0.11191373 -0.3391341373
#> 304   15   16 2.627070 3.622562 2.700018 -0.0043760754 0.11347033 -0.3234530899
#> 305   16   17 1.062245 1.699981 1.648694  0.0161292933 0.04071708 -0.0759166827
#> 306   16   17 1.699981 1.775368 1.751268  0.0169276414 0.05681983 -0.1128822576
#> 307   16   17 1.775368 1.835269 1.799468  0.0125365324 0.06281005 -0.1271376766
#> 308   16   17 1.835269 1.892682 1.871069 -0.0007998063 0.06868995 -0.1480073258
#> 309   16   17 1.892682 1.933662 1.914296 -0.0121140975 0.07045949 -0.1502041238
#> 310   16   17 1.933662 1.972404 1.953028 -0.0233853405 0.07119479 -0.1554447685
#> 311   16   17 1.972404 2.008396 1.991781 -0.0347979453 0.07143593 -0.1617540346
#> 312   16   17 2.008396 2.041395 2.025010 -0.0440048490 0.07142538 -0.1681756311
#> 313   16   17 2.041395 2.076143 2.057780 -0.0520546230 0.07129790 -0.1731214714
#> 314   16   17 2.076143 2.117286 2.094506 -0.0594320008 0.07105375 -0.1849281630
#> 315   16   17 2.117286 2.163326 2.140066 -0.0657688720 0.07066817 -0.1925652165
#> 316   16   17 2.163326 2.205605 2.186586 -0.0688895372 0.07035197 -0.1901066613
#> 317   16   17 2.205605 2.246900 2.224624 -0.0690350712 0.07031066 -0.1920736165
#> 318   16   17 2.246900 2.293677 2.269176 -0.0667139454 0.07059425 -0.1968344391
#> 319   16   17 2.293677 2.343877 2.318177 -0.0614678625 0.07118559 -0.2029669136
#> 320   16   17 2.343877 2.403865 2.369576 -0.0535095293 0.07174458 -0.2017275261
#> 321   16   17 2.403865 2.496138 2.438154 -0.0402208167 0.07183643 -0.1880565621
#> 322   16   17 2.496138 2.627070 2.554122 -0.0158954658 0.07088357 -0.1634211947
#> 323   16   17 2.627070 3.622562 2.700018  0.0078006904 0.07202112 -0.1269970902
#> 324   17   18 1.062245 1.699981 1.648694  0.0161327881 0.04158281 -0.0759166827
#> 325   17   18 1.699981 1.775368 1.751268  0.0167303489 0.05733347 -0.1128822576
#> 326   17   18 1.775368 1.835269 1.799468  0.0122121443 0.06299838 -0.1271376766
#> 327   17   18 1.835269 1.892682 1.871069 -0.0012880059 0.06838016 -0.1480073258
#> 328   17   18 1.892682 1.933662 1.914296 -0.0126524563 0.06989507 -0.1502041238
#> 329   17   18 1.933662 1.972404 1.953028 -0.0239198998 0.07043443 -0.1554447685
#> 330   17   18 1.972404 2.008396 1.991781 -0.0352749339 0.07048954 -0.1617540346
#> 331   17   18 2.008396 2.041395 2.025010 -0.0443881665 0.07030548 -0.1681756311
#> 332   17   18 2.041395 2.076143 2.057780 -0.0523075419 0.06997772 -0.1710212460
#> 333   17   18 2.076143 2.117286 2.094506 -0.0594995140 0.06946753 -0.1715662787
#> 334   17   18 2.117286 2.163326 2.140066 -0.0655620781 0.06870936 -0.1825033620
#> 335   17   18 2.163326 2.205605 2.186586 -0.0683724359 0.06802746 -0.1891100484
#> 336   17   18 2.205605 2.246900 2.224624 -0.0682576945 0.06776206 -0.1895790115
#> 337   17   18 2.246900 2.293677 2.269176 -0.0656412054 0.06793108 -0.1926726769
#> 338   17   18 2.293677 2.343877 2.318177 -0.0600995795 0.06861625 -0.2017082368
#> 339   17   18 2.343877 2.403865 2.369576 -0.0518786065 0.06950949 -0.1912318401
#> 340   17   18 2.403865 2.496138 2.438154 -0.0383240569 0.07033374 -0.1847195361
#> 341   17   18 2.496138 2.627070 2.554122 -0.0137335138 0.07085122 -0.1634211947
#> 342   17   18 2.627070 3.622562 2.700018  0.0101277320 0.07283267 -0.1269970902
#> 343   18   19 1.062245 1.699981 1.648694  0.0142099504 0.04078278 -0.0759166827
#> 344   18   19 1.699981 1.775368 1.751268  0.0133860026 0.05556324 -0.1128822576
#> 345   18   19 1.775368 1.835269 1.799468  0.0082162750 0.06060698 -0.1271376766
#> 346   18   19 1.835269 1.892682 1.871069 -0.0060886149 0.06492595 -0.1480073258
#> 347   18   19 1.892682 1.933662 1.914296 -0.0178147843 0.06576607 -0.1502041238
#> 348   18   19 1.933662 1.972404 1.953028 -0.0293291270 0.06572322 -0.1554447685
#> 349   18   19 1.972404 2.008396 1.991781 -0.0408717798 0.06525402 -0.1617540346
#> 350   18   19 2.008396 2.041395 2.025010 -0.0501124125 0.06468674 -0.1677708437
#> 351   18   19 2.041395 2.076143 2.057780 -0.0581395465 0.06404638 -0.1710212460
#> 352   18   19 2.076143 2.117286 2.094506 -0.0654436093 0.06325473 -0.1715662787
#> 353   18   19 2.117286 2.163326 2.140066 -0.0716464491 0.06222094 -0.1825033620
#> 354   18   19 2.163326 2.205605 2.186586 -0.0746085581 0.06130725 -0.1891100484
#> 355   18   19 2.205605 2.246900 2.224624 -0.0746220448 0.06087620 -0.1895790115
#> 356   18   19 2.246900 2.293677 2.269176 -0.0721518722 0.06088223 -0.1926726769
#> 357   18   19 2.293677 2.343877 2.318177 -0.0667529330 0.06144804 -0.2017082368
#> 358   18   19 2.343877 2.403865 2.369576 -0.0586475429 0.06231635 -0.1907050347
#> 359   18   19 2.403865 2.496138 2.438154 -0.0451824660 0.06331714 -0.1817354640
#> 360   18   19 2.496138 2.627070 2.554122 -0.0206052832 0.06468062 -0.1607236010
#> 361   18   19 2.627070 3.622562 2.700018  0.0033324089 0.06802556 -0.1269970902
#> 362   19   20 1.062245 1.699981 1.648694  0.0126236236 0.04115427 -0.0777649210
#> 363   19   20 1.699981 1.775368 1.751268  0.0106830435 0.05605734 -0.1163865944
#> 364   19   20 1.775368 1.835269 1.799468  0.0049910344 0.06105067 -0.1439929903
#> 365   19   20 1.835269 1.892682 1.871069 -0.0099909989 0.06507669 -0.1520515016
#> 366   19   20 1.892682 1.933662 1.914296 -0.0220473139 0.06558067 -0.1627217267
#> 367   19   20 1.933662 1.972404 1.953028 -0.0338065227 0.06513164 -0.1622671066
#> 368   19   20 1.972404 2.008396 1.991781 -0.0455529925 0.06418127 -0.1630026250
#> 369   19   20 2.008396 2.041395 2.025010 -0.0549432013 0.06317821 -0.1681756311
#> 370   19   20 2.041395 2.076143 2.057780 -0.0631019186 0.06212652 -0.1754047792
#> 371   19   20 2.076143 2.117286 2.094506 -0.0705413099 0.06093855 -0.1847834729
#> 372   19   20 2.117286 2.163326 2.140066 -0.0769008047 0.05955719 -0.1925286760
#> 373   19   20 2.163326 2.205605 2.186586 -0.0800114092 0.05847750 -0.1898789698
#> 374   19   20 2.205605 2.246900 2.224624 -0.0801339315 0.05804283 -0.1916054150
#> 375   19   20 2.246900 2.293677 2.269176 -0.0777696851 0.05815964 -0.1992873250
#> 376   19   20 2.293677 2.343877 2.318177 -0.0724499829 0.05893086 -0.2029669136
#> 377   19   20 2.343877 2.403865 2.369576 -0.0643763644 0.06004262 -0.1912318401
#> 378   19   20 2.403865 2.496138 2.438154 -0.0508639785 0.06133158 -0.1847195361
#> 379   19   20 2.496138 2.627070 2.554122 -0.0259790549 0.06291272 -0.1607236010
#> 380   19   20 2.627070 3.622562 2.700018 -0.0013608433 0.06593641 -0.1304009194
#> 381   20   21 1.062245 1.699981 1.648694  0.0103411839 0.03966588 -0.0777649210
#> 382   20   21 1.699981 1.775368 1.751268  0.0070926481 0.05254744 -0.1163865944
#> 383   20   21 1.775368 1.835269 1.799468  0.0008673859 0.05642280 -0.1439929903
#> 384   20   21 1.835269 1.892682 1.871069 -0.0147038477 0.05893689 -0.1520515016
#> 385   20   21 1.892682 1.933662 1.914296 -0.0269844224 0.05874355 -0.1627217267
#> 386   20   21 1.933662 1.972404 1.953028 -0.0388677783 0.05785652 -0.1622671066
#> 387   20   21 1.972404 2.008396 1.991781 -0.0506797676 0.05665025 -0.1630026250
#> 388   20   21 2.008396 2.041395 2.025010 -0.0600922026 0.05555391 -0.1681756311
#> 389   20   21 2.041395 2.076143 2.057780 -0.0682533935 0.05449236 -0.1710212460
#> 390   20   21 2.076143 2.117286 2.094506 -0.0756842501 0.05334823 -0.1715662787
#> 391   20   21 2.117286 2.163326 2.140066 -0.0820311082 0.05205084 -0.1728280123
#> 392   20   21 2.163326 2.205605 2.186586 -0.0851373151 0.05107051 -0.1829513381
#> 393   20   21 2.205605 2.246900 2.224624 -0.0852650923 0.05074059 -0.1895741642
#> 394   20   21 2.246900 2.293677 2.269176 -0.0829149097 0.05102802 -0.1964326097
#> 395   20   21 2.293677 2.343877 2.318177 -0.0776146653 0.05204923 -0.2017082368
#> 396   20   21 2.343877 2.403865 2.369576 -0.0695588613 0.05346805 -0.1912318401
#> 397   20   21 2.403865 2.496138 2.438154 -0.0560588391 0.05518658 -0.1847195361
#> 398   20   21 2.496138 2.627070 2.554122 -0.0311685823 0.05743784 -0.1607236010
#> 399   20   21 2.627070 3.622562 2.700018 -0.0065346810 0.06097391 -0.1269970902
#> 400   21   22 1.062245 1.699981 1.648694  0.0100460426 0.04000349 -0.0778228367
#> 401   21   22 1.699981 1.775368 1.751268  0.0065912214 0.05313530 -0.1165245609
#> 402   21   22 1.775368 1.835269 1.799468  0.0002639176 0.05715634 -0.1439929903
#> 403   21   22 1.835269 1.892682 1.871069 -0.0154532229 0.05993764 -0.1520515016
#> 404   21   22 1.892682 1.933662 1.914296 -0.0278171454 0.05994083 -0.1627217267
#> 405   21   22 1.933662 1.972404 1.953028 -0.0397740291 0.05925031 -0.1623897242
#> 406   21   22 1.972404 2.008396 1.991781 -0.0516621915 0.05825356 -0.1631880173
#> 407   21   22 2.008396 2.041395 2.025010 -0.0611459886 0.05734062 -0.1700471157
#> 408   21   22 2.041395 2.076143 2.057780 -0.0693871205 0.05645678 -0.1804125121
#> 409   21   22 2.076143 2.117286 2.094506 -0.0769237956 0.05549769 -0.1885136631
#> 410   21   22 2.117286 2.163326 2.140066 -0.0834326944 0.05438080 -0.1927746737
#> 411   21   22 2.163326 2.205605 2.186586 -0.0867443707 0.05347262 -0.1906319763
#> 412   21   22 2.205605 2.246900 2.224624 -0.0870692188 0.05306839 -0.1920329145
#> 413   21   22 2.246900 2.293677 2.269176 -0.0849757521 0.05308087 -0.1966306191
#> 414   21   22 2.293677 2.343877 2.318177 -0.0799740293 0.05358029 -0.2019859501
#> 415   21   22 2.343877 2.403865 2.369576 -0.0722256507 0.05429457 -0.1999694108
#> 416   21   22 2.403865 2.496138 2.438154 -0.0590871387 0.05505579 -0.1847195361
#> 417   21   22 2.496138 2.627070 2.554122 -0.0346149296 0.05635402 -0.1607236010
#> 418   21   22 2.627070 3.622562 2.700018 -0.0102160384 0.06015244 -0.1269970902
#> 419   22   23 1.062245 1.699981 1.648694  0.0093716050 0.04021533 -0.0778228367
#> 420   22   23 1.699981 1.775368 1.751268  0.0053638185 0.05339017 -0.1165245609
#> 421   22   23 1.775368 1.835269 1.799468 -0.0012349341 0.05734644 -0.1439929903
#> 422   22   23 1.835269 1.892682 1.871069 -0.0173098526 0.05988052 -0.1520515016
#> 423   22   23 1.892682 1.933662 1.914296 -0.0298440661 0.05964623 -0.1627217267
#> 424   22   23 1.933662 1.972404 1.953028 -0.0419176431 0.05869935 -0.1623897242
#> 425   22   23 1.972404 2.008396 1.991781 -0.0538871407 0.05742398 -0.1631880173
#> 426   22   23 2.008396 2.041395 2.025010 -0.0634129084 0.05627127 -0.1700471157
#> 427   22   23 2.041395 2.076143 2.057780 -0.0716714642 0.05516346 -0.1804125121
#> 428   22   23 2.076143 2.117286 2.094506 -0.0792011990 0.05398045 -0.1885136631
#> 429   22   23 2.117286 2.163326 2.140066 -0.0856661089 0.05264369 -0.1927746737
#> 430   22   23 2.163326 2.205605 2.186586 -0.0888977324 0.05160458 -0.1906319763
#> 431   22   23 2.205605 2.246900 2.224624 -0.0891357314 0.05118614 -0.1920329145
#> 432   22   23 2.246900 2.293677 2.269176 -0.0869232802 0.05130131 -0.1966306191
#> 433   22   23 2.293677 2.343877 2.318177 -0.0817802648 0.05204378 -0.2019859501
#> 434   22   23 2.343877 2.403865 2.369576 -0.0738867806 0.05309881 -0.1999694108
#> 435   22   23 2.403865 2.496138 2.438154 -0.0605842650 0.05432671 -0.1847195361
#> 436   22   23 2.496138 2.627070 2.554122 -0.0359583077 0.05620288 -0.1607236010
#> 437   22   23 2.627070 3.622562 2.700018 -0.0115501888 0.06039613 -0.1269970902
#> 438   23   24 1.062245 1.699981 1.648694  0.0086684913 0.03925571 -0.0778228367
#> 439   23   24 1.699981 1.775368 1.751268  0.0041527564 0.05155083 -0.1164885911
#> 440   23   24 1.775368 1.835269 1.799468 -0.0026553150 0.05506995 -0.1439831800
#> 441   23   24 1.835269 1.892682 1.871069 -0.0189328289 0.05708956 -0.1518327967
#> 442   23   24 1.892682 1.933662 1.914296 -0.0315114218 0.05668544 -0.1525264758
#> 443   23   24 1.933662 1.972404 1.953028 -0.0435773899 0.05569307 -0.1554447685
#> 444   23   24 1.972404 2.008396 1.991781 -0.0555041094 0.05446133 -0.1617540346
#> 445   23   24 2.008396 2.041395 2.025010 -0.0649752327 0.05339506 -0.1681373113
#> 446   23   24 2.041395 2.076143 2.057780 -0.0731730602 0.05239450 -0.1754853128
#> 447   23   24 2.076143 2.117286 2.094506 -0.0806366254 0.05133832 -0.1847554755
#> 448   23   24 2.117286 2.163326 2.140066 -0.0870343999 0.05015784 -0.1923294146
#> 449   23   24 2.163326 2.205605 2.186586 -0.0902222663 0.04928287 -0.1894068560
#> 450   23   24 2.205605 2.246900 2.224624 -0.0904429261 0.04900365 -0.1893045371
#> 451   23   24 2.246900 2.293677 2.269176 -0.0882259487 0.04926974 -0.1963644890
#> 452   23   24 2.293677 2.343877 2.318177 -0.0830884156 0.05012164 -0.2019859501
#> 453   23   24 2.343877 2.403865 2.369576 -0.0752029246 0.05118709 -0.1999694108
#> 454   23   24 2.403865 2.496138 2.438154 -0.0619074849 0.05225896 -0.1847195361
#> 455   23   24 2.496138 2.627070 2.554122 -0.0373040984 0.05370250 -0.1607236010
#> 456   23   24 2.627070 3.622562 2.700018 -0.0130073362 0.05775799 -0.1267398949
#> 457   24   25 1.062245 1.699981 1.648694  0.0085044363 0.03921420 -0.0778228367
#> 458   24   25 1.699981 1.775368 1.751268  0.0038628677 0.05140495 -0.1164885911
#> 459   24   25 1.775368 1.835269 1.799468 -0.0030075134 0.05486572 -0.1439831800
#> 460   24   25 1.835269 1.892682 1.871069 -0.0193714579 0.05682143 -0.1518327967
#> 461   24   25 1.892682 1.933662 1.914296 -0.0319966066 0.05640514 -0.1525264758
#> 462   24   25 1.933662 1.972404 1.953028 -0.0441010031 0.05542219 -0.1554447685
#> 463   24   25 1.972404 2.008396 1.991781 -0.0560643800 0.05421599 -0.1617540346
#> 464   24   25 2.008396 2.041395 2.025010 -0.0655669517 0.05317796 -0.1681373113
#> 465   24   25 2.041395 2.076143 2.057780 -0.0737972626 0.05220225 -0.1754853128
#> 466   24   25 2.076143 2.117286 2.094506 -0.0813007089 0.05115781 -0.1847554755
#> 467   24   25 2.117286 2.163326 2.140066 -0.0877556576 0.04994518 -0.1923294146
#> 468   24   25 2.163326 2.205605 2.186586 -0.0910131195 0.04895591 -0.1904202370
#> 469   24   25 2.205605 2.246900 2.224624 -0.0912998254 0.04850922 -0.1894333777
#> 470   24   25 2.246900 2.293677 2.269176 -0.0891697074 0.04850159 -0.1963644890
#> 471   24   25 2.293677 2.343877 2.318177 -0.0841357035 0.04899728 -0.2019859501
#> 472   24   25 2.343877 2.403865 2.369576 -0.0763599555 0.04970035 -0.1999694108
#> 473   24   25 2.403865 2.496138 2.438154 -0.0631942126 0.05042963 -0.1847195361
#> 474   24   25 2.496138 2.627070 2.554122 -0.0387078305 0.05183154 -0.1607236010
#> 475   24   25 2.627070 3.622562 2.700018 -0.0143512988 0.05636505 -0.1267398949
#> 476   25   26 1.062245 1.699981 1.648694  0.0085459887 0.03936322 -0.0778228367
#> 477   25   26 1.699981 1.775368 1.751268  0.0040210443 0.05171516 -0.1166324830
#> 478   25   26 1.775368 1.835269 1.799468 -0.0027496922 0.05527722 -0.1442721482
#> 479   25   26 1.835269 1.892682 1.871069 -0.0189051258 0.05742173 -0.1518327967
#> 480   25   26 1.892682 1.933662 1.914296 -0.0313739931 0.05714209 -0.1525264758
#> 481   25   26 1.933662 1.972404 1.953028 -0.0433255733 0.05629168 -0.1554447685
#> 482   25   26 1.972404 2.008396 1.991781 -0.0551307154 0.05522069 -0.1617540346
#> 483   25   26 2.008396 2.041395 2.025010 -0.0644984106 0.05429450 -0.1681373113
#> 484   25   26 2.041395 2.076143 2.057780 -0.0726001905 0.05342032 -0.1754853128
#> 485   25   26 2.076143 2.117286 2.094506 -0.0799679804 0.05247402 -0.1847554755
#> 486   25   26 2.117286 2.163326 2.140066 -0.0862695614 0.05135234 -0.1928112143
#> 487   25   26 2.163326 2.205605 2.186586 -0.0893876969 0.05041352 -0.1930052028
#> 488   25   26 2.205605 2.246900 2.224624 -0.0895721523 0.04997693 -0.1960598022
#> 489   25   26 2.246900 2.293677 2.269176 -0.0873338657 0.04995799 -0.1964956152
#> 490   25   26 2.293677 2.343877 2.318177 -0.0821943026 0.05043907 -0.2019859501
#> 491   25   26 2.343877 2.403865 2.369576 -0.0743238715 0.05115207 -0.1999694108
#> 492   25   26 2.403865 2.496138 2.438154 -0.0610624037 0.05194118 -0.1874940512
#> 493   25   26 2.496138 2.627070 2.554122 -0.0365083076 0.05342210 -0.1607236010
#> 494   25   26 2.627070 3.622562 2.700018 -0.0122072931 0.05783988 -0.1267398949
#> 495   26   27 1.062245 1.699981 1.648694  0.0084530918 0.03952625 -0.0778228367
#> 496   26   27 1.699981 1.775368 1.751268  0.0038166191 0.05196977 -0.1166324830
#> 497   26   27 1.775368 1.835269 1.799468 -0.0030054238 0.05557013 -0.1442721482
#> 498   26   27 1.835269 1.892682 1.871069 -0.0192068536 0.05775715 -0.1518327967
#> 499   26   27 1.892682 1.933662 1.914296 -0.0316758118 0.05749105 -0.1525264758
#> 500   26   27 1.933662 1.972404 1.953028 -0.0436073374 0.05664408 -0.1554447685
#> 501   26   27 1.972404 2.008396 1.991781 -0.0553749446 0.05557036 -0.1617540346
#> 502   26   27 2.008396 2.041395 2.025010 -0.0646995290 0.05464050 -0.1681373113
#> 503   26   27 2.041395 2.076143 2.057780 -0.0727525301 0.05376559 -0.1754853128
#> 504   26   27 2.076143 2.117286 2.094506 -0.0800630302 0.05282601 -0.1847554755
#> 505   26   27 2.117286 2.163326 2.140066 -0.0862974583 0.05172573 -0.1928112143
#> 506   26   27 2.163326 2.205605 2.186586 -0.0893600525 0.05081608 -0.1930052028
#> 507   26   27 2.205605 2.246900 2.224624 -0.0895136359 0.05039612 -0.1960598022
#> 508   26   27 2.246900 2.293677 2.269176 -0.0872588251 0.05037357 -0.1964956152
#> 509   26   27 2.293677 2.343877 2.318177 -0.0821261961 0.05081642 -0.2019859501
#> 510   26   27 2.343877 2.403865 2.369576 -0.0742883584 0.05146598 -0.1999694108
#> 511   26   27 2.403865 2.496138 2.438154 -0.0610986947 0.05218093 -0.1874940512
#> 512   26   27 2.496138 2.627070 2.554122 -0.0366822821 0.05363349 -0.1607236010
#> 513   26   27 2.627070 3.622562 2.700018 -0.0124857643 0.05801223 -0.1267398949
#> 514   27   28 1.062245 1.699981 1.648694  0.0081316920 0.03937318 -0.0778228367
#> 515   27   28 1.699981 1.775368 1.751268  0.0033812133 0.05166377 -0.1166324830
#> 516   27   28 1.775368 1.835269 1.799468 -0.0034632272 0.05523181 -0.1442721482
#> 517   27   28 1.835269 1.892682 1.871069 -0.0196534126 0.05748731 -0.1518327967
#> 518   27   28 1.892682 1.933662 1.914296 -0.0320932226 0.05734012 -0.1525264758
#> 519   27   28 1.933662 1.972404 1.953028 -0.0439888367 0.05663765 -0.1554447685
#> 520   27   28 1.972404 2.008396 1.991781 -0.0557155807 0.05572135 -0.1617540346
#> 521   27   28 2.008396 2.041395 2.025010 -0.0650044780 0.05491482 -0.1681373113
#> 522   27   28 2.041395 2.076143 2.057780 -0.0730243524 0.05413327 -0.1754853128
#> 523   27   28 2.076143 2.117286 2.094506 -0.0803028885 0.05325098 -0.1847554755
#> 524   27   28 2.117286 2.163326 2.140066 -0.0865090728 0.05214468 -0.1928112143
#> 525   27   28 2.163326 2.205605 2.186586 -0.0895600836 0.05115251 -0.1930052028
#> 526   27   28 2.205605 2.246900 2.224624 -0.0897201684 0.05063151 -0.1960598022
#> 527   27   28 2.246900 2.293677 2.269176 -0.0874948434 0.05049180 -0.1964956152
#> 528   27   28 2.293677 2.343877 2.318177 -0.0824267539 0.05086075 -0.2019859501
#> 529   27   28 2.343877 2.403865 2.369576 -0.0746981871 0.05154887 -0.1999694108
#> 530   27   28 2.403865 2.496138 2.438154 -0.0617246294 0.05255651 -0.1929054908
#> 531   27   28 2.496138 2.627070 2.554122 -0.0378128860 0.05502302 -0.1635383862
#> 532   27   28 2.627070 3.622562 2.700018 -0.0142276504 0.06051646 -0.1269970902
#> 533   28   29 1.062245 1.699981 1.648694  0.0081219378 0.03927009 -0.0778228367
#> 534   28   29 1.699981 1.775368 1.751268  0.0033385663 0.05136965 -0.1166324830
#> 535   28   29 1.775368 1.835269 1.799468 -0.0035118550 0.05482172 -0.1442242644
#> 536   28   29 1.835269 1.892682 1.871069 -0.0196689372 0.05692235 -0.1480403216
#> 537   28   29 1.892682 1.933662 1.914296 -0.0320510662 0.05671969 -0.1525264758
#> 538   28   29 1.933662 1.972404 1.953028 -0.0438663095 0.05601014 -0.1540340822
#> 539   28   29 1.972404 2.008396 1.991781 -0.0554864995 0.05513732 -0.1613034523
#> 540   28   29 2.008396 2.041395 2.025010 -0.0646669547 0.05440836 -0.1678120970
#> 541   28   29 2.041395 2.076143 2.057780 -0.0725697821 0.05373041 -0.1705991061
#> 542   28   29 2.076143 2.117286 2.094506 -0.0797129469 0.05297491 -0.1769221815
#> 543   28   29 2.117286 2.163326 2.140066 -0.0857583446 0.05199679 -0.1834865515
#> 544   28   29 2.163326 2.205605 2.186586 -0.0886681323 0.05105154 -0.1904202370
#> 545   28   29 2.205605 2.246900 2.224624 -0.0887377357 0.05048974 -0.1878114939
#> 546   28   29 2.246900 2.293677 2.269176 -0.0864390605 0.05023197 -0.1963644890
#> 547   28   29 2.293677 2.343877 2.318177 -0.0813310732 0.05044722 -0.1999106876
#> 548   28   29 2.343877 2.403865 2.369576 -0.0736034372 0.05103063 -0.1974609093
#> 549   28   29 2.403865 2.496138 2.438154 -0.0606932205 0.05207939 -0.1845851283
#> 550   28   29 2.496138 2.627070 2.554122 -0.0370392809 0.05508063 -0.1547937487
#> 551   28   29 2.627070 3.622562 2.700018 -0.0139754384 0.06161288 -0.1267398949
#> 552   29   30 1.062245 1.699981 1.648694  0.0074437114 0.03965549 -0.0791452914
#> 553   29   30 1.699981 1.775368 1.751268  0.0024060176 0.05206491 -0.1224736028
#> 554   29   30 1.775368 1.835269 1.799468 -0.0045125534 0.05561303 -0.1442242644
#> 555   29   30 1.835269 1.892682 1.871069 -0.0207040364 0.05774355 -0.1533374384
#> 556   29   30 1.892682 1.933662 1.914296 -0.0330764611 0.05749706 -0.1626507029
#> 557   29   30 1.933662 1.972404 1.953028 -0.0448712415 0.05672109 -0.1623235858
#> 558   29   30 1.972404 2.008396 1.991781 -0.0564660518 0.05576974 -0.1634463198
#> 559   29   30 2.008396 2.041395 2.025010 -0.0656250702 0.05497427 -0.1703972560
#> 560   29   30 2.041395 2.076143 2.057780 -0.0735102251 0.05423944 -0.1808174129
#> 561   29   30 2.076143 2.117286 2.094506 -0.0806407795 0.05343763 -0.1888237656
#> 562   29   30 2.117286 2.163326 2.140066 -0.0866852879 0.05243647 -0.1928161564
#> 563   29   30 2.163326 2.205605 2.186586 -0.0896152057 0.05151618 -0.1930052028
#> 564   29   30 2.205605 2.246900 2.224624 -0.0897192824 0.05101576 -0.1960598022
#> 565   29   30 2.246900 2.293677 2.269176 -0.0874827034 0.05087455 -0.1964956152
#> 566   29   30 2.293677 2.343877 2.318177 -0.0824690464 0.05125486 -0.2016835540
#> 567   29   30 2.343877 2.403865 2.369576 -0.0748646364 0.05200973 -0.1981961590
#> 568   29   30 2.403865 2.496138 2.438154 -0.0621404247 0.05318539 -0.1874940512
#> 569   29   30 2.496138 2.627070 2.554122 -0.0387794804 0.05591858 -0.1633349900
#> 570   29   30 2.627070 3.622562 2.700018 -0.0159261958 0.06169520 -0.1268252996
#> 571   30   31 1.062245 1.699981 1.648694  0.0075180943 0.03968858 -0.0791458249
#> 572   30   31 1.699981 1.775368 1.751268  0.0026380719 0.05223693 -0.1224736028
#> 573   30   31 1.775368 1.835269 1.799468 -0.0041557649 0.05591540 -0.1442242644
#> 574   30   31 1.835269 1.892682 1.871069 -0.0201034286 0.05828483 -0.1533374384
#> 575   30   31 1.892682 1.933662 1.914296 -0.0323054470 0.05815563 -0.1626507029
#> 576   30   31 1.933662 1.972404 1.953028 -0.0439430873 0.05742696 -0.1623235858
#> 577   30   31 1.972404 2.008396 1.991781 -0.0553853796 0.05645167 -0.1634463198
#> 578   30   31 2.008396 2.041395 2.025010 -0.0644234172 0.05558682 -0.1703972560
#> 579   30   31 2.041395 2.076143 2.057780 -0.0722022633 0.05476323 -0.1808174129
#> 580   30   31 2.076143 2.117286 2.094506 -0.0792321608 0.05387640 -0.1888237656
#> 581   30   31 2.117286 2.163326 2.140066 -0.0851811835 0.05285006 -0.1928161564
#> 582   30   31 2.163326 2.205605 2.186586 -0.0880465351 0.05203861 -0.1930052028
#> 583   30   31 2.205605 2.246900 2.224624 -0.0881201862 0.05172504 -0.1960598022
#> 584   30   31 2.246900 2.293677 2.269176 -0.0858697624 0.05187314 -0.1964956152
#> 585   30   31 2.293677 2.343877 2.318177 -0.0808628683 0.05258628 -0.2016835540
#> 586   30   31 2.343877 2.403865 2.369576 -0.0732842414 0.05363129 -0.1981961590
#> 587   30   31 2.403865 2.496138 2.438154 -0.0606144337 0.05502483 -0.1874940512
#> 588   30   31 2.496138 2.627070 2.554122 -0.0373714313 0.05761946 -0.1633349900
#> 589   30   31 2.627070 3.622562 2.700018 -0.0146742587 0.06258764 -0.1268252996
#> 590   31   32 1.062245 1.699981 1.648694  0.0085478638 0.03855713 -0.0754520560
#> 591   31   32 1.699981 1.775368 1.751268  0.0046437464 0.05056366 -0.1111499697
#> 592   31   32 1.775368 1.835269 1.799468 -0.0015780685 0.05437613 -0.1224896490
#> 593   31   32 1.835269 1.892682 1.871069 -0.0166111844 0.05762181 -0.1466793525
#> 594   31   32 1.892682 1.933662 1.914296 -0.0282773060 0.05831011 -0.1441236018
#> 595   31   32 1.933662 1.972404 1.953028 -0.0394889680 0.05833993 -0.1574325146
#> 596   31   32 1.972404 2.008396 1.991781 -0.0505944374 0.05800336 -0.1612380951
#> 597   31   32 2.008396 2.041395 2.025010 -0.0594428905 0.05750761 -0.1613817644
#> 598   31   32 2.041395 2.076143 2.057780 -0.0671458008 0.05685446 -0.1631803264
#> 599   31   32 2.076143 2.117286 2.094506 -0.0742398353 0.05594032 -0.1705703799
#> 600   31   32 2.117286 2.163326 2.140066 -0.0805013178 0.05463348 -0.1835816042
#> 601   31   32 2.163326 2.205605 2.186586 -0.0839420495 0.05339042 -0.1930052028
#> 602   31   32 2.205605 2.246900 2.224624 -0.0846496357 0.05273169 -0.1960598022
#> 603   31   32 2.246900 2.293677 2.269176 -0.0832747298 0.05260902 -0.1964956152
#> 604   31   32 2.293677 2.343877 2.318177 -0.0793126108 0.05329380 -0.2016835540
#> 605   31   32 2.343877 2.403865 2.369576 -0.0728180885 0.05463103 -0.1981961590
#> 606   31   32 2.403865 2.496138 2.438154 -0.0614243801 0.05676089 -0.1905303964
#> 607   31   32 2.496138 2.627070 2.554122 -0.0396680628 0.06054662 -0.1643155102
#> 608   31   32 2.627070 3.622562 2.700018 -0.0178700797 0.06564543 -0.1363447734
#> 609   32   33 1.062245 1.699981 1.648694  0.0086989126 0.03858183 -0.0754520560
#> 610   32   33 1.699981 1.775368 1.751268  0.0049965286 0.05064259 -0.1111499694
#> 611   32   33 1.775368 1.835269 1.799468 -0.0011049690 0.05449059 -0.1224896490
#> 612   32   33 1.835269 1.892682 1.871069 -0.0159625337 0.05778271 -0.1466793525
#> 613   32   33 1.892682 1.933662 1.914296 -0.0275443468 0.05848221 -0.1441236018
#> 614   32   33 1.933662 1.972404 1.953028 -0.0387058537 0.05850450 -0.1574325146
#> 615   32   33 1.972404 2.008396 1.991781 -0.0497915071 0.05814451 -0.1612380951
#> 616   32   33 2.008396 2.041395 2.025010 -0.0586497161 0.05762282 -0.1613817644
#> 617   32   33 2.041395 2.076143 2.057780 -0.0663867423 0.05695010 -0.1631803264
#> 618   32   33 2.076143 2.117286 2.094506 -0.0735462056 0.05603825 -0.1705703799
#> 619   32   33 2.117286 2.163326 2.140066 -0.0799229953 0.05479654 -0.1835816042
#> 620   32   33 2.163326 2.205605 2.186586 -0.0835101897 0.05370633 -0.1929943576
#> 621   32   33 2.205605 2.246900 2.224624 -0.0843502832 0.05322207 -0.1952982926
#> 622   32   33 2.246900 2.293677 2.269176 -0.0831355227 0.05331073 -0.1963691850
#> 623   32   33 2.293677 2.343877 2.318177 -0.0793459424 0.05416304 -0.1981411443
#> 624   32   33 2.343877 2.403865 2.369576 -0.0730215977 0.05555125 -0.1952030631
#> 625   32   33 2.403865 2.496138 2.438154 -0.0618395712 0.05757501 -0.1905561567
#> 626   32   33 2.496138 2.627070 2.554122 -0.0404650947 0.06106148 -0.1643155102
#> 627   32   33 2.627070 3.622562 2.700018 -0.0193215211 0.06600674 -0.1483677682
#> 628   33   34 1.062245 1.699981 1.648694  0.0083545770 0.03837227 -0.0754520560
#> 629   33   34 1.699981 1.775368 1.751268  0.0043087808 0.05048078 -0.1111499694
#> 630   33   34 1.775368 1.835269 1.799468 -0.0020014523 0.05430171 -0.1224896490
#> 631   33   34 1.835269 1.892682 1.871069 -0.0172173696 0.05742601 -0.1466680629
#> 632   33   34 1.892682 1.933662 1.914296 -0.0290385843 0.05797599 -0.1441236018
#> 633   33   34 1.933662 1.972404 1.953028 -0.0404259107 0.05788017 -0.1574325146
#> 634   33   34 1.972404 2.008396 1.991781 -0.0517452894 0.05746141 -0.1612380951
#> 635   33   34 2.008396 2.041395 2.025010 -0.0608077003 0.05696207 -0.1613817644
#> 636   33   34 2.041395 2.076143 2.057780 -0.0687471351 0.05638572 -0.1631803264
#> 637   33   34 2.076143 2.117286 2.094506 -0.0761314303 0.05566167 -0.1705703799
#> 638   33   34 2.117286 2.163326 2.140066 -0.0827779949 0.05473049 -0.1835816042
#> 639   33   34 2.163326 2.205605 2.186586 -0.0866214849 0.05396970 -0.1952495824
#> 640   33   34 2.205605 2.246900 2.224624 -0.0876501868 0.05369871 -0.1970786853
#> 641   33   34 2.246900 2.293677 2.269176 -0.0866262116 0.05391193 -0.1968388836
#> 642   33   34 2.293677 2.343877 2.318177 -0.0830044265 0.05471496 -0.1981411443
#> 643   33   34 2.343877 2.403865 2.369576 -0.0768085489 0.05587394 -0.1974840452
#> 644   33   34 2.403865 2.496138 2.438154 -0.0657323026 0.05746525 -0.1927578900
#> 645   33   34 2.496138 2.627070 2.554122 -0.0444268204 0.06050522 -0.1650022941
#> 646   33   34 2.627070 3.622562 2.700018 -0.0232971042 0.06586652 -0.1514234935
#> 647   34   35 1.062245 1.699981 1.648694  0.0076861869 0.03767829 -0.0778073751
#> 648   34   35 1.699981 1.775368 1.751268  0.0032562305 0.04957357 -0.1111499694
#> 649   34   35 1.775368 1.835269 1.799468 -0.0032300573 0.05341555 -0.1224896490
#> 650   34   35 1.835269 1.892682 1.871069 -0.0186788924 0.05668135 -0.1466680629
#> 651   34   35 1.892682 1.933662 1.914296 -0.0306139037 0.05731359 -0.1465137313
#> 652   34   35 1.933662 1.972404 1.953028 -0.0420797768 0.05724215 -0.1576099966
#> 653   34   35 1.972404 2.008396 1.991781 -0.0534517289 0.05678126 -0.1624992288
#> 654   34   35 2.008396 2.041395 2.025010 -0.0625368503 0.05619811 -0.1681896010
#> 655   34   35 2.041395 2.076143 2.057780 -0.0704783874 0.05551781 -0.1719458816
#> 656   34   35 2.076143 2.117286 2.094506 -0.0778427305 0.05469018 -0.1744886772
#> 657   34   35 2.117286 2.163326 2.140066 -0.0844371857 0.05371127 -0.1835816042
#> 658   34   35 2.163326 2.205605 2.186586 -0.0882058047 0.05303550 -0.1952495824
#> 659   34   35 2.205605 2.246900 2.224624 -0.0891652130 0.05291518 -0.1970786853
#> 660   34   35 2.246900 2.293677 2.269176 -0.0880597447 0.05331506 -0.2035966605
#> 661   34   35 2.293677 2.343877 2.318177 -0.0843571392 0.05419816 -0.2017265701
#> 662   34   35 2.343877 2.403865 2.369576 -0.0780939450 0.05516777 -0.1990874163
#> 663   34   35 2.403865 2.496138 2.438154 -0.0669604660 0.05601232 -0.1905561567
#> 664   34   35 2.496138 2.627070 2.554122 -0.0456244432 0.05717901 -0.1648471723
#> 665   34   35 2.627070 3.622562 2.700018 -0.0244930604 0.06134776 -0.1454319522
#> 666   35   36 1.062245 1.699981 1.648694  0.0083541778 0.03892236 -0.0778073751
#> 667   35   36 1.699981 1.775368 1.751268  0.0042335334 0.05103609 -0.1111499694
#> 668   35   36 1.775368 1.835269 1.799468 -0.0021489943 0.05476606 -0.1224896490
#> 669   35   36 1.835269 1.892682 1.871069 -0.0175190754 0.05773947 -0.1466680629
#> 670   35   36 1.892682 1.933662 1.914296 -0.0294527633 0.05823345 -0.1465137313
#> 671   35   36 1.933662 1.972404 1.953028 -0.0409448961 0.05812085 -0.1576099966
#> 672   35   36 1.972404 2.008396 1.991781 -0.0523657109 0.05771487 -0.1624992288
#> 673   35   36 2.008396 2.041395 2.025010 -0.0615078924 0.05724730 -0.1681896010
#> 674   35   36 2.041395 2.076143 2.057780 -0.0695172302 0.05672028 -0.1719458816
#> 675   35   36 2.076143 2.117286 2.094506 -0.0769694829 0.05607294 -0.1744886772
#> 676   35   36 2.117286 2.163326 2.140066 -0.0836897889 0.05526329 -0.1835816042
#> 677   35   36 2.163326 2.205605 2.186586 -0.0876079362 0.05463111 -0.1952495824
#> 678   35   36 2.205605 2.246900 2.224624 -0.0887078904 0.05443164 -0.1970786853
#> 679   35   36 2.246900 2.293677 2.269176 -0.0877897479 0.05464019 -0.1968388836
#> 680   35   36 2.293677 2.343877 2.318177 -0.0843187415 0.05528717 -0.1981411443
#> 681   35   36 2.343877 2.403865 2.369576 -0.0783143094 0.05612351 -0.1974840452
#> 682   35   36 2.403865 2.496138 2.438154 -0.0675074236 0.05718533 -0.1905561567
#> 683   35   36 2.496138 2.627070 2.554122 -0.0464914108 0.05984687 -0.1752343649
#> 684   35   36 2.627070 3.622562 2.700018 -0.0251843344 0.06620947 -0.1483677682
#> 685   36   37 1.062245 1.699981 1.648694  0.0077271324 0.04176640 -0.0785575457
#> 686   36   37 1.699981 1.775368 1.751268  0.0033828747 0.05687941 -0.1162495291
#> 687   36   37 1.775368 1.835269 1.799468 -0.0031017337 0.06220144 -0.1359814337
#> 688   36   37 1.835269 1.892682 1.871069 -0.0186487561 0.06749410 -0.1480949911
#> 689   36   37 1.892682 1.933662 1.914296 -0.0307122774 0.06929515 -0.1626204615
#> 690   36   37 1.933662 1.972404 1.953028 -0.0423352181 0.07026729 -0.1646802787
#> 691   36   37 1.972404 2.008396 1.991781 -0.0538967244 0.07085483 -0.1776982319
#> 692   36   37 2.008396 2.041395 2.025010 -0.0631631933 0.07116997 -0.1909838084
#> 693   36   37 2.041395 2.076143 2.057780 -0.0712944902 0.07136462 -0.2058251397
#> 694   36   37 2.076143 2.117286 2.094506 -0.0788784880 0.07148301 -0.2023231943
#> 695   36   37 2.117286 2.163326 2.140066 -0.0857492740 0.07156765 -0.2096118288
#> 696   36   37 2.163326 2.205605 2.186586 -0.0898010204 0.07174901 -0.2173391280
#> 697   36   37 2.205605 2.246900 2.224624 -0.0909925505 0.07208383 -0.2210411768
#> 698   36   37 2.246900 2.293677 2.269176 -0.0901594671 0.07270225 -0.2172817115
#> 699   36   37 2.293677 2.343877 2.318177 -0.0867518800 0.07348030 -0.2119271458
#> 700   36   37 2.343877 2.403865 2.369576 -0.0807755643 0.07407001 -0.2045545060
#> 701   36   37 2.403865 2.496138 2.438154 -0.0699317174 0.07417076 -0.2059243955
#> 702   36   37 2.496138 2.627070 2.554122 -0.0486042959 0.07386547 -0.1969644699
#> 703   36   37 2.627070 3.622562 2.700018 -0.0264951128 0.07729363 -0.1821575189
#>             CIMax Effect
#> 1    0.1902771332       
#> 2    0.2725232319       
#> 3    0.2811190299       
#> 4    0.2905248184       
#> 5    0.2882667548       
#> 6    0.2879522888       
#> 7    0.2879339980       
#> 8    0.2800614681       
#> 9    0.2740312536       
#> 10   0.2674929219       
#> 11   0.2537188177       
#> 12   0.2434904205       
#> 13   0.2390824265       
#> 14   0.2335936364       
#> 15   0.2327988891       
#> 16   0.2391678620       
#> 17   0.2526339727       
#> 18   0.2907247369       
#> 19   0.3542772796       
#> 20   0.1902771332       
#> 21   0.2725232319       
#> 22   0.2811190299       
#> 23   0.2905248184       
#> 24   0.2882667548       
#> 25   0.2879522888       
#> 26   0.2879339980       
#> 27   0.2800614681       
#> 28   0.2740276684       
#> 29   0.2674926902       
#> 30   0.2537554760       
#> 31   0.2437787954       
#> 32   0.2408855735       
#> 33   0.2384986614       
#> 34   0.2397433850       
#> 35   0.2457849326       
#> 36   0.2582100312       
#> 37   0.2997361857       
#> 38   0.3603483212       
#> 39   0.1902771332       
#> 40   0.2725232319       
#> 41   0.2811190299       
#> 42   0.2905248184       
#> 43   0.2939109137       
#> 44   0.2953835400       
#> 45   0.2883792151       
#> 46   0.2806919737       
#> 47   0.2776191555       
#> 48   0.2711351404       
#> 49   0.2667840052       
#> 50   0.2571933212       
#> 51   0.2481816060       
#> 52   0.2438219352       
#> 53   0.2433514989       
#> 54   0.2503060820       
#> 55   0.2676739637       
#> 56   0.3067414911       
#> 57   0.3603483212      +
#> 58   0.1902771332       
#> 59   0.2723080601       
#> 60   0.2811072282       
#> 61   0.2892991743       
#> 62   0.2939109137       
#> 63   0.2953835400       
#> 64   0.2883792151       
#> 65   0.2806919737       
#> 66   0.2741072151       
#> 67   0.2674926902       
#> 68   0.2561964355       
#> 69   0.2448716445       
#> 70   0.2457929505       
#> 71   0.2438219352       
#> 72   0.2433514989       
#> 73   0.2503060820       
#> 74   0.2644300176       
#> 75   0.2950618927       
#> 76   0.3494825392       
#> 77   0.1902771332       
#> 78   0.2723080601       
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#> 80   0.2908814355       
#> 81   0.2971048453       
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#> 83   0.2918997055       
#> 84   0.2912116222      +
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#> 86   0.2837551051      +
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#> 88   0.2723770626       
#> 89   0.2625676146       
#> 90   0.2528179917       
#> 91   0.2615668353       
#> 92   0.2717449079       
#> 93   0.2859205602       
#> 94   0.3110091910      +
#> 95   0.3561936123      +
#> 96   0.2011245517       
#> 97   0.2745649308       
#> 98   0.2862768389       
#> 99   0.2967847316       
#> 100  0.3063530920       
#> 101  0.3078005437       
#> 102  0.3049940598       
#> 103  0.2985794197      +
#> 104  0.2973909188      +
#> 105  0.2913902872      +
#> 106  0.2837917275      +
#> 107  0.2781455774      +
#> 108  0.2761565742      +
#> 109  0.2755357913      +
#> 110  0.2787622502      +
#> 111  0.2853752690      +
#> 112  0.2979311141       
#> 113  0.3325640417      +
#> 114  0.3603483212      +
#> 115  0.2011245517       
#> 116  0.2745660593       
#> 117  0.2862792804       
#> 118  0.2967847316       
#> 119  0.3063530920       
#> 120  0.3078005437       
#> 121  0.3049940598       
#> 122  0.2985794197      +
#> 123  0.2973909188      +
#> 124  0.2913902872      +
#> 125  0.2837917275      +
#> 126  0.2781455774      +
#> 127  0.2761565742      +
#> 128  0.2755357913      +
#> 129  0.2787622502      +
#> 130  0.2853752690      +
#> 131  0.3030943574      +
#> 132  0.3325640417      +
#> 133  0.3603483212      +
#> 134  0.2011683950       
#> 135  0.2751825640       
#> 136  0.3029619967      +
#> 137  0.3187920343       
#> 138  0.3137873861       
#> 139  0.3091223301       
#> 140  0.3054531018      +
#> 141  0.3016644990      +
#> 142  0.2980019243      +
#> 143  0.2928832877      +
#> 144  0.2843490574      +
#> 145  0.2832996950      +
#> 146  0.2842064591      +
#> 147  0.2845573681      +
#> 148  0.2847863265      +
#> 149  0.2891925162      +
#> 150  0.3068856638      +
#> 151  0.3342139365      +
#> 152  0.3646251961      +
#> 153  0.2011670052       
#> 154  0.2751825640       
#> 155  0.3029619967      +
#> 156  0.3187920343       
#> 157  0.3173150869       
#> 158  0.3109852766       
#> 159  0.3060642198      +
#> 160  0.3024212733      +
#> 161  0.2990712451      +
#> 162  0.2996647307      +
#> 163  0.3011271012      +
#> 164  0.3032089457      +
#> 165  0.2994446288      +
#> 166  0.2972873766       
#> 167  0.2982011962       
#> 168  0.3058656173      +
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#> 172  0.2011670052       
#> 173  0.2751825640       
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#> 180  0.2990712451       
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#> 182  0.3011271012       
#> 183  0.3032089457       
#> 184  0.2994446288       
#> 185  0.2972873766       
#> 186  0.2982011962       
#> 187  0.3058656173       
#> 188  0.3168953994       
#> 189  0.3342139365       
#> 190  0.3646251961      +
#> 191  0.1694105933       
#> 192  0.1616903246       
#> 193  0.1168550903       
#> 194  0.0090281918       
#> 195 -0.0944420991      -
#> 196 -0.2008205379      -
#> 197 -0.3185548734      -
#> 198 -0.4204309766      -
#> 199 -0.5181196745      -
#> 200 -0.6136768881      -
#> 201 -0.7162560333      -
#> 202 -0.8045135094      -
#> 203 -0.8649316231      -
#> 204 -0.9111943681      -
#> 205 -0.9334616935      -
#> 206 -0.9387125580      -
#> 207 -0.9291443740      -
#> 208 -0.9041497020      -
#> 209 -0.8506609649      -
#> 210  0.1691599995       
#> 211  0.1519650005       
#> 212  0.1153974729       
#> 213 -0.0051687608      -
#> 214 -0.1073451177      -
#> 215 -0.2120903571      -
#> 216 -0.3241289922      -
#> 217 -0.4253433825      -
#> 218 -0.5211334856      -
#> 219 -0.6217318374      -
#> 220 -0.7319173177      -
#> 221 -0.8193642387      -
#> 222 -0.8713464194      -
#> 223 -0.9190509923      -
#> 224 -0.9576244506      -
#> 225 -0.9758685544      -
#> 226 -0.9696353406      -
#> 227 -0.9140820395      -
#> 228 -0.8869084319      -
#> 229  0.1691599995       
#> 230  0.1519650005       
#> 231  0.1161550453       
#> 232 -0.0051687608      -
#> 233 -0.1073451177      -
#> 234 -0.2122004426      -
#> 235 -0.3405180979      -
#> 236 -0.4512640548      -
#> 237 -0.5511254565      -
#> 238 -0.6482612144      -
#> 239 -0.7443662786      -
#> 240 -0.8153659969      -
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#> 242 -0.9190509923      -
#> 243 -0.9537516831      -
#> 244 -0.9601472448      -
#> 245 -0.9582468038      -
#> 246 -0.9136275688      -
#> 247 -0.8509587473      -
#> 248  0.1673230121       
#> 249  0.1518188132       
#> 250  0.1078080100       
#> 251 -0.0194692505      -
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#> 255 -0.4519634144      -
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#> 260 -0.9014793013      -
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#> 263 -0.9601225933      -
#> 264 -0.9583438877      -
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#> 267  0.2294283680       
#> 268  0.2329500840       
#> 269  0.1869711113       
#> 270  0.0592034105       
#> 271 -0.0716931554      -
#> 272 -0.1875480230      -
#> 273 -0.3029968592      -
#> 274 -0.4033260375      -
#> 275 -0.4984252512      -
#> 276 -0.5955711541      -
#> 277 -0.6965570302      -
#> 278 -0.7737747908      -
#> 279 -0.8252094892      -
#> 280 -0.8686861062      -
#> 281 -0.8884572686      -
#> 282 -0.8948907467      -
#> 283 -0.8937127515      -
#> 284 -0.8628364579      -
#> 285 -0.8323450654      -
#> 286  0.1215162234       
#> 287  0.1571828560       
#> 288  0.1674944721       
#> 289  0.1786701575       
#> 290  0.1768432752       
#> 291  0.1719530484       
#> 292  0.1622903247       
#> 293  0.1533213002       
#> 294  0.1447387282       
#> 295  0.1462780001       
#> 296  0.1417983672       
#> 297  0.1447897267       
#> 298  0.1449781143       
#> 299  0.1435294217       
#> 300  0.1421790662       
#> 301  0.1440706507       
#> 302  0.1546692027       
#> 303  0.1810484699       
#> 304  0.2170015126       
#> 305  0.1109092952       
#> 306  0.1327323990       
#> 307  0.1459876522       
#> 308  0.1624950619       
#> 309  0.1656563608       
#> 310  0.1604891988       
#> 311  0.1511623847       
#> 312  0.1445435586       
#> 313  0.1390816955       
#> 314  0.1336558243       
#> 315  0.1266009559       
#> 316  0.1184589533       
#> 317  0.1114353693       
#> 318  0.1042331380       
#> 319  0.1050730303       
#> 320  0.1119657972       
#> 321  0.1217083352       
#> 322  0.1592145827       
#> 323  0.1641697171       
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#> 325  0.1334543733       
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#> 330  0.1511623847       
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#> 340  0.1217083352       
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#> 345  0.1374035253       
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#> 358  0.0992321229       
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#> 360  0.1269039090       
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#> 525  0.0208656575       
#> 526  0.0130093533       
#> 527  0.0123769007       
#> 528  0.0143447103       
#> 529  0.0170930745       
#> 530  0.0343144672       
#> 531  0.0571178341       
#> 532  0.1072371590       
#> 533  0.1098775780       
#> 534  0.1105259819       
#> 535  0.1073845232       
#> 536  0.0932585391       
#> 537  0.0819280398       
#> 538  0.0717021510       
#> 539  0.0621766848       
#> 540  0.0547801826       
#> 541  0.0474568293       
#> 542  0.0394845624       
#> 543  0.0289167223       
#> 544  0.0208656575       
#> 545  0.0130093533       
#> 546  0.0123769007       
#> 547  0.0143897606       
#> 548  0.0172254104       
#> 549  0.0343144672       
#> 550  0.0611276636       
#> 551  0.1069808757       
#> 552  0.1098775780       
#> 553  0.1105259819       
#> 554  0.1073845232       
#> 555  0.0932585391       
#> 556  0.0819280398       
#> 557  0.0717021510       
#> 558  0.0621766848       
#> 559  0.0547801826       
#> 560  0.0474568293       
#> 561  0.0394845624       
#> 562  0.0289167223       
#> 563  0.0208656575       
#> 564  0.0130093533       
#> 565  0.0123769007       
#> 566  0.0143897606       
#> 567  0.0172254104       
#> 568  0.0343144672       
#> 569  0.0611276636       
#> 570  0.0955853956       
#> 571  0.1098775780       
#> 572  0.1105259819       
#> 573  0.1064228378       
#> 574  0.0966406093       
#> 575  0.0906460455       
#> 576  0.0779658265       
#> 577  0.0621766848       
#> 578  0.0547801826       
#> 579  0.0474568293       
#> 580  0.0394845624       
#> 581  0.0288641439       
#> 582  0.0229823181       
#> 583  0.0185887732       
#> 584  0.0188299577       
#> 585  0.0173968690       
#> 586  0.0225636931       
#> 587  0.0348070051       
#> 588  0.0788281366       
#> 589  0.1077685661       
#> 590  0.1098775780       
#> 591  0.1200093320       
#> 592  0.1073875276       
#> 593  0.0966406093       
#> 594  0.0906730906       
#> 595  0.0782234772       
#> 596  0.0676189268       
#> 597  0.0596044980       
#> 598  0.0511423779       
#> 599  0.0456009606       
#> 600  0.0337559380       
#> 601  0.0230123732       
#> 602  0.0169859160       
#> 603  0.0178826447       
#> 604  0.0144623132       
#> 605  0.0201437909       
#> 606  0.0427876363       
#> 607  0.0847063445       
#> 608  0.1261666820       
#> 609  0.1098775780       
#> 610  0.1200093320       
#> 611  0.1073875276       
#> 612  0.0966406093       
#> 613  0.0906730906       
#> 614  0.0782234772       
#> 615  0.0676189268       
#> 616  0.0596044980       
#> 617  0.0511423779       
#> 618  0.0456009606       
#> 619  0.0337559380       
#> 620  0.0230123732       
#> 621  0.0169859160       
#> 622  0.0178826447       
#> 623  0.0144623132       
#> 624  0.0201437909       
#> 625  0.0345330231       
#> 626  0.0833553048       
#> 627  0.1077685661       
#> 628  0.1098775780       
#> 629  0.1200093320       
#> 630  0.1073875276       
#> 631  0.0932795287       
#> 632  0.0819280398       
#> 633  0.0717021510       
#> 634  0.0621766848       
#> 635  0.0547859574       
#> 636  0.0474568293       
#> 637  0.0394845624       
#> 638  0.0289167223       
#> 639  0.0208656575       
#> 640  0.0128918379       
#> 641  0.0085635693       
#> 642  0.0056367759       
#> 643  0.0132502722       
#> 644  0.0255845853       
#> 645  0.0786835630       
#> 646  0.1133109930       
#> 647  0.0950508527       
#> 648  0.1100297760       
#> 649  0.1014455962       
#> 650  0.0843819393       
#> 651  0.0746345006       
#> 652  0.0636410511       
#> 653  0.0537421683       
#> 654  0.0413117650       
#> 655  0.0335788789       
#> 656  0.0305269176       
#> 657  0.0252971059       
#> 658  0.0172056801       
#> 659  0.0079760418       
#> 660  0.0025483016       
#> 661  0.0039961480       
#> 662  0.0062555893       
#> 663  0.0204587714       
#> 664  0.0609250810       
#> 665  0.0950749379       
#> 666  0.1099731844       
#> 667  0.1119203359       
#> 668  0.1050464606       
#> 669  0.0930239866       
#> 670  0.0815315631       
#> 671  0.0683755320       
#> 672  0.0581130729       
#> 673  0.0544987684       
#> 674  0.0426053140       
#> 675  0.0326799847       
#> 676  0.0285415152       
#> 677  0.0181113961       
#> 678  0.0128918379       
#> 679  0.0085635693       
#> 680  0.0056367759       
#> 681  0.0131957954       
#> 682  0.0255845853       
#> 683  0.0622557585       
#> 684  0.1134149634       
#> 685  0.1099731844       
#> 686  0.1200228558       
#> 687  0.1153963088       
#> 688  0.1081693566       
#> 689  0.1040376956       
#> 690  0.1041885331       
#> 691  0.0952062035       
#> 692  0.0878579869       
#> 693  0.0819564530       
#> 694  0.0773810252       
#> 695  0.0746842725       
#> 696  0.0745808093       
#> 697  0.0756869771       
#> 698  0.0775621531       
#> 699  0.0798455810       
#> 700  0.0826136340       
#> 701  0.0882432030       
#> 702  0.0919241298       
#> 703  0.1574921002       
#> 
#> $matfit
#>                        [,1]       [,2]       [,3]       [,4]       [,5]
#> 1.64869392029419 0.04870123 0.05008824 0.05457059 0.05403963 0.05803776
#> 1.75126810787332 0.07658418 0.07953412 0.08723022 0.08649482 0.09321120
#> 1.79946777896389 0.08689295 0.09087769 0.10015844 0.09931604 0.10740817
#> 1.87106930768594 0.09555816 0.10148692 0.11300093 0.11193881 0.12205686
#> 1.91429554166968 0.09639759 0.10374490 0.11647829 0.11523034 0.12651132
#> 1.95302761682418 0.09452239 0.10328679 0.11700965 0.11555795 0.12781657
#> 1.99178060312141 0.09061430 0.10090854 0.11551557 0.11382974 0.12698988
#> 2.02501049762032 0.08610512 0.09776872 0.11304574 0.11114265 0.12500592
#> 2.05778004489866 0.08106148 0.09409154 0.10994717 0.10782366 0.12231198
#> 2.09450607114123 0.07524016 0.08977241 0.10617792 0.10381124 0.11891648
#> 2.14006616349627 0.06860300 0.08487532 0.10181808 0.09917274 0.11492063
#> 2.18658617913116 0.06340846 0.08122863 0.09855969 0.09567340 0.11194361
#> 2.22462355152433 0.06087879 0.07974969 0.09728708 0.09424393 0.11084926
#> 2.26917603086292 0.06024726 0.08009068 0.09775889 0.09457860 0.11148403
#> 2.31817718775388 0.06259096 0.08321342 0.10091376 0.09763114 0.11477036
#> 2.36957596181032 0.06822147 0.08941613 0.10706029 0.10370096 0.12100206
#> 2.43815433799455 0.07959536 0.10135222 0.11884226 0.11536390 0.13279541
#> 2.55412171880947 0.10288560 0.12561006 0.14281425 0.13882828 0.15641119
#> 2.70001802940495 0.12719015 0.15149482 0.16851650 0.16311197 0.18096641
#>                        [,6]       [,7]       [,8]       [,9]      [,10]
#> 1.64869392029419 0.05927053 0.05965228 0.06020206 0.06031848 0.05982307
#> 1.75126810787332 0.09525448 0.09592256 0.09673980 0.09695275 0.09592657
#> 1.79946777896389 0.10988829 0.11069128 0.11160474 0.11184535 0.11043325
#> 1.87106930768594 0.12526063 0.12623331 0.12724141 0.12745516 0.12526556
#> 1.91429554166968 0.13019672 0.13124531 0.13228593 0.13242369 0.12964767
#> 1.95302761682418 0.13195661 0.13305465 0.13411338 0.13413680 0.13077529
#> 1.99178060312141 0.13159629 0.13272747 0.13379779 0.13366262 0.12967957
#> 2.02501049762032 0.13001056 0.13115895 0.13223624 0.13193363 0.12740877
#> 2.05778004489866 0.12769717 0.12885407 0.12993669 0.12944685 0.12439789
#> 2.09450607114123 0.12470157 0.12585957 0.12694678 0.12623105 0.12062704
#> 2.14006616349627 0.12114589 0.12229413 0.12338454 0.12238397 0.11616672
#> 2.18658617913116 0.11854069 0.11966615 0.12075601 0.11948244 0.11274888
#> 2.22462355152433 0.11768895 0.11878547 0.11987178 0.11840183 0.11133584
#> 2.26917603086292 0.11854221 0.11959293 0.12067245 0.11901067 0.11165422
#> 2.31817718775388 0.12200021 0.12298832 0.12405954 0.12223246 0.11466336
#> 2.36957596181032 0.12835532 0.12927146 0.13033635 0.12837240 0.12067253
#> 2.43815433799455 0.14025953 0.14108991 0.14215289 0.14002081 0.13224079
#> 2.55412171880947 0.16400849 0.16478549 0.16584762 0.16331759 0.15550833
#> 2.70001802940495 0.18869101 0.18958062 0.19059328 0.18727402 0.17946558
#>                        [,11]       [,12]       [,13]       [,14]       [,15]
#> 1.64869392029419  0.02381998  0.02308733  0.01935448  0.01841385  0.01683037
#> 1.75126810787332 -0.03045473 -0.03177750 -0.03761778 -0.03905249 -0.04207121
#> 1.79946777896389 -0.09428337 -0.09594551 -0.10275513 -0.10441765 -0.10812305
#> 1.87106930768594 -0.24490077 -0.24711326 -0.25524709 -0.25726069 -0.26179583
#> 1.91429554166968 -0.36453583 -0.36708633 -0.37591802 -0.37816709 -0.38302806
#> 1.95302761682418 -0.48362670 -0.48646852 -0.49583829 -0.49832040 -0.50334347
#> 1.99178060312141 -0.60698591 -0.61009744 -0.61990801 -0.62264329 -0.62770793
#> 2.02501049762032 -0.71054352 -0.71386286 -0.72396649 -0.72692943 -0.73194223
#> 2.05778004489866 -0.80624805 -0.80974800 -0.82006277 -0.82325155 -0.82814489
#> 2.09450607114123 -0.90188203 -0.90555481 -0.91601983 -0.91945093 -0.92414390
#> 2.14006616349627 -0.99929284 -1.00313917 -1.01368365 -1.01737776 -1.02174763
#> 2.18658617913116 -1.07285970 -1.07684369 -1.08738256 -1.09127820 -1.09526055
#> 2.22462355152433 -1.11474026 -1.11881353 -1.12931184 -1.13331048 -1.13695180
#> 2.26917603086292 -1.14608211 -1.15023971 -1.16067897 -1.16472513 -1.16795963
#> 2.31817718775388 -1.16347955 -1.16771012 -1.17809790 -1.18211547 -1.18491807
#> 2.36957596181032 -1.16845694 -1.17274512 -1.18311525 -1.18703656 -1.18943191
#> 2.43815433799455 -1.16278908 -1.16712631 -1.17754740 -1.18128981 -1.18325579
#> 2.55412171880947 -1.14155279 -1.14591317 -1.15661183 -1.16007778 -1.16166537
#> 2.70001802940495 -1.11778518 -1.12212781 -1.13338234 -1.13667815 -1.13823594
#>                         [,16]         [,17]        [,18]        [,19]
#> 1.64869392029419  0.016456218  0.0161292933  0.016132788  0.014209950
#> 1.75126810787332  0.016062363  0.0169276414  0.016730349  0.013386003
#> 1.79946777896389  0.010823735  0.0125365324  0.012212144  0.008216275
#> 1.87106930768594 -0.003917513 -0.0007998063 -0.001288006 -0.006088615
#> 1.91429554166968 -0.016077695 -0.0121140975 -0.012652456 -0.017814784
#> 1.95302761682418 -0.028071000 -0.0233853405 -0.023919900 -0.029329127
#> 1.99178060312141 -0.040163330 -0.0347979453 -0.035274934 -0.040871780
#> 2.02501049762032 -0.049921071 -0.0440048490 -0.044388167 -0.050112413
#> 2.05778004489866 -0.058491018 -0.0520546230 -0.052307542 -0.058139546
#> 2.09450607114123 -0.066432480 -0.0594320008 -0.059499514 -0.065443609
#> 2.14006616349627 -0.073452167 -0.0657688720 -0.065562078 -0.071646449
#> 2.18658617913116 -0.077255431 -0.0688895372 -0.068372436 -0.074608558
#> 2.22462355152433 -0.077943390 -0.0690350712 -0.068257695 -0.074622045
#> 2.26917603086292 -0.076226299 -0.0667139454 -0.065641205 -0.072151872
#> 2.31817718775388 -0.071584675 -0.0614678625 -0.060099579 -0.066752933
#> 2.36957596181032 -0.064171312 -0.0535095293 -0.051878606 -0.058647543
#> 2.43815433799455 -0.051451156 -0.0402208167 -0.038324057 -0.045182466
#> 2.55412171880947 -0.027726021 -0.0158954658 -0.013733514 -0.020605283
#> 2.70001802940495 -0.004376075  0.0078006904  0.010127732  0.003332409
#>                         [,20]         [,21]         [,22]        [,23]
#> 1.64869392029419  0.012623624  0.0103411839  0.0100460426  0.009371605
#> 1.75126810787332  0.010683044  0.0070926481  0.0065912214  0.005363819
#> 1.79946777896389  0.004991034  0.0008673859  0.0002639176 -0.001234934
#> 1.87106930768594 -0.009990999 -0.0147038477 -0.0154532229 -0.017309853
#> 1.91429554166968 -0.022047314 -0.0269844224 -0.0278171454 -0.029844066
#> 1.95302761682418 -0.033806523 -0.0388677783 -0.0397740291 -0.041917643
#> 1.99178060312141 -0.045552992 -0.0506797676 -0.0516621915 -0.053887141
#> 2.02501049762032 -0.054943201 -0.0600922026 -0.0611459886 -0.063412908
#> 2.05778004489866 -0.063101919 -0.0682533935 -0.0693871205 -0.071671464
#> 2.09450607114123 -0.070541310 -0.0756842501 -0.0769237956 -0.079201199
#> 2.14006616349627 -0.076900805 -0.0820311082 -0.0834326944 -0.085666109
#> 2.18658617913116 -0.080011409 -0.0851373151 -0.0867443707 -0.088897732
#> 2.22462355152433 -0.080133932 -0.0852650923 -0.0870692188 -0.089135731
#> 2.26917603086292 -0.077769685 -0.0829149097 -0.0849757521 -0.086923280
#> 2.31817718775388 -0.072449983 -0.0776146653 -0.0799740293 -0.081780265
#> 2.36957596181032 -0.064376364 -0.0695588613 -0.0722256507 -0.073886781
#> 2.43815433799455 -0.050863978 -0.0560588391 -0.0590871387 -0.060584265
#> 2.55412171880947 -0.025979055 -0.0311685823 -0.0346149296 -0.035958308
#> 2.70001802940495 -0.001360843 -0.0065346810 -0.0102160384 -0.011550189
#>                         [,24]        [,25]        [,26]        [,27]
#> 1.64869392029419  0.008668491  0.008504436  0.008545989  0.008453092
#> 1.75126810787332  0.004152756  0.003862868  0.004021044  0.003816619
#> 1.79946777896389 -0.002655315 -0.003007513 -0.002749692 -0.003005424
#> 1.87106930768594 -0.018932829 -0.019371458 -0.018905126 -0.019206854
#> 1.91429554166968 -0.031511422 -0.031996607 -0.031373993 -0.031675812
#> 1.95302761682418 -0.043577390 -0.044101003 -0.043325573 -0.043607337
#> 1.99178060312141 -0.055504109 -0.056064380 -0.055130715 -0.055374945
#> 2.02501049762032 -0.064975233 -0.065566952 -0.064498411 -0.064699529
#> 2.05778004489866 -0.073173060 -0.073797263 -0.072600191 -0.072752530
#> 2.09450607114123 -0.080636625 -0.081300709 -0.079967980 -0.080063030
#> 2.14006616349627 -0.087034400 -0.087755658 -0.086269561 -0.086297458
#> 2.18658617913116 -0.090222266 -0.091013120 -0.089387697 -0.089360052
#> 2.22462355152433 -0.090442926 -0.091299825 -0.089572152 -0.089513636
#> 2.26917603086292 -0.088225949 -0.089169707 -0.087333866 -0.087258825
#> 2.31817718775388 -0.083088416 -0.084135703 -0.082194303 -0.082126196
#> 2.36957596181032 -0.075202925 -0.076359955 -0.074323872 -0.074288358
#> 2.43815433799455 -0.061907485 -0.063194213 -0.061062404 -0.061098695
#> 2.55412171880947 -0.037304098 -0.038707830 -0.036508308 -0.036682282
#> 2.70001802940495 -0.013007336 -0.014351299 -0.012207293 -0.012485764
#>                         [,28]        [,29]        [,30]        [,31]
#> 1.64869392029419  0.008131692  0.008121938  0.007443711  0.007518094
#> 1.75126810787332  0.003381213  0.003338566  0.002406018  0.002638072
#> 1.79946777896389 -0.003463227 -0.003511855 -0.004512553 -0.004155765
#> 1.87106930768594 -0.019653413 -0.019668937 -0.020704036 -0.020103429
#> 1.91429554166968 -0.032093223 -0.032051066 -0.033076461 -0.032305447
#> 1.95302761682418 -0.043988837 -0.043866310 -0.044871242 -0.043943087
#> 1.99178060312141 -0.055715581 -0.055486499 -0.056466052 -0.055385380
#> 2.02501049762032 -0.065004478 -0.064666955 -0.065625070 -0.064423417
#> 2.05778004489866 -0.073024352 -0.072569782 -0.073510225 -0.072202263
#> 2.09450607114123 -0.080302889 -0.079712947 -0.080640779 -0.079232161
#> 2.14006616349627 -0.086509073 -0.085758345 -0.086685288 -0.085181183
#> 2.18658617913116 -0.089560084 -0.088668132 -0.089615206 -0.088046535
#> 2.22462355152433 -0.089720168 -0.088737736 -0.089719282 -0.088120186
#> 2.26917603086292 -0.087494843 -0.086439060 -0.087482703 -0.085869762
#> 2.31817718775388 -0.082426754 -0.081331073 -0.082469046 -0.080862868
#> 2.36957596181032 -0.074698187 -0.073603437 -0.074864636 -0.073284241
#> 2.43815433799455 -0.061724629 -0.060693221 -0.062140425 -0.060614434
#> 2.55412171880947 -0.037812886 -0.037039281 -0.038779480 -0.037371431
#> 2.70001802940495 -0.014227650 -0.013975438 -0.015926196 -0.014674259
#>                         [,32]        [,33]        [,34]        [,35]
#> 1.64869392029419  0.008547864  0.008698913  0.008354577  0.007686187
#> 1.75126810787332  0.004643746  0.004996529  0.004308781  0.003256231
#> 1.79946777896389 -0.001578069 -0.001104969 -0.002001452 -0.003230057
#> 1.87106930768594 -0.016611184 -0.015962534 -0.017217370 -0.018678892
#> 1.91429554166968 -0.028277306 -0.027544347 -0.029038584 -0.030613904
#> 1.95302761682418 -0.039488968 -0.038705854 -0.040425911 -0.042079777
#> 1.99178060312141 -0.050594437 -0.049791507 -0.051745289 -0.053451729
#> 2.02501049762032 -0.059442891 -0.058649716 -0.060807700 -0.062536850
#> 2.05778004489866 -0.067145801 -0.066386742 -0.068747135 -0.070478387
#> 2.09450607114123 -0.074239835 -0.073546206 -0.076131430 -0.077842731
#> 2.14006616349627 -0.080501318 -0.079922995 -0.082777995 -0.084437186
#> 2.18658617913116 -0.083942049 -0.083510190 -0.086621485 -0.088205805
#> 2.22462355152433 -0.084649636 -0.084350283 -0.087650187 -0.089165213
#> 2.26917603086292 -0.083274730 -0.083135523 -0.086626212 -0.088059745
#> 2.31817718775388 -0.079312611 -0.079345942 -0.083004426 -0.084357139
#> 2.36957596181032 -0.072818088 -0.073021598 -0.076808549 -0.078093945
#> 2.43815433799455 -0.061424380 -0.061839571 -0.065732303 -0.066960466
#> 2.55412171880947 -0.039668063 -0.040465095 -0.044426820 -0.045624443
#> 2.70001802940495 -0.017870080 -0.019321521 -0.023297104 -0.024493060
#>                         [,36]        [,37]
#> 1.64869392029419  0.008354178  0.007727132
#> 1.75126810787332  0.004233533  0.003382875
#> 1.79946777896389 -0.002148994 -0.003101734
#> 1.87106930768594 -0.017519075 -0.018648756
#> 1.91429554166968 -0.029452763 -0.030712277
#> 1.95302761682418 -0.040944896 -0.042335218
#> 1.99178060312141 -0.052365711 -0.053896724
#> 2.02501049762032 -0.061507892 -0.063163193
#> 2.05778004489866 -0.069517230 -0.071294490
#> 2.09450607114123 -0.076969483 -0.078878488
#> 2.14006616349627 -0.083689789 -0.085749274
#> 2.18658617913116 -0.087607936 -0.089801020
#> 2.22462355152433 -0.088707890 -0.090992551
#> 2.26917603086292 -0.087789748 -0.090159467
#> 2.31817718775388 -0.084318742 -0.086751880
#> 2.36957596181032 -0.078314309 -0.080775564
#> 2.43815433799455 -0.067507424 -0.069931717
#> 2.55412171880947 -0.046491411 -0.048604296
#> 2.70001802940495 -0.025184334 -0.026495113
#> 
#> $cilower
#>                         [,1]        [,2]         [,3]         [,4]         [,5]
#> 1.64869392029419 -0.01954517 -0.01959599 -0.004578254 -0.007288814 -0.003882022
#> 1.75126810787332 -0.03274683 -0.03038293 -0.007578097 -0.007578097 -0.005794450
#> 1.79946777896389 -0.05469860 -0.03346113 -0.008045271 -0.008045271 -0.001847032
#> 1.87106930768594 -0.07520625 -0.03964593 -0.008338722 -0.008338722 -0.005350363
#> 1.91429554166968 -0.07397946 -0.05740588 -0.011381490 -0.011381490 -0.006774534
#> 1.95302761682418 -0.09277439 -0.05926998 -0.014579085 -0.014847089 -0.005744604
#> 1.99178060312141 -0.10200288 -0.07958621 -0.018459336 -0.019927182 -0.002779078
#> 2.02501049762032 -0.11064031 -0.08575708 -0.023285961 -0.024633185  0.001799849
#> 2.05778004489866 -0.13808684 -0.08639125 -0.031399318 -0.031399318  0.007593797
#> 2.09450607114123 -0.16950464 -0.08527844 -0.035622211 -0.035622211  0.001131956
#> 2.14006616349627 -0.17956390 -0.08084950 -0.042553815 -0.042696262 -0.013548822
#> 2.18658617913116 -0.21492085 -0.08386985 -0.049362206 -0.052002200 -0.016822792
#> 2.22462355152433 -0.22862701 -0.08893476 -0.052224265 -0.056054741 -0.030958628
#> 2.26917603086292 -0.23231944 -0.09169935 -0.056882497 -0.059809464 -0.046282451
#> 2.31817718775388 -0.23261564 -0.09166251 -0.057476446 -0.066768544 -0.043105350
#> 2.36957596181032 -0.22927177 -0.08988146 -0.056508917 -0.067982952 -0.037420757
#> 2.43815433799455 -0.21516150 -0.07975373 -0.051144976 -0.060528950 -0.021792160
#> 2.55412171880947 -0.18375624 -0.05942261 -0.030764538 -0.039444454  0.011616883
#> 2.70001802940495 -0.14281513 -0.02234559  0.005415907 -0.006090910  0.030501012
#>                           [,6]          [,7]          [,8]          [,9]
#> 1.64869392029419 -0.0038820225 -0.0028542593 -0.0028542593 -0.0028542593
#> 1.75126810787332 -0.0057944501 -0.0006679883 -0.0006679883 -0.0006679883
#> 1.79946777896389 -0.0018470316 -0.0015157332  0.0002835580  0.0002835580
#> 1.87106930768594 -0.0053503410 -0.0053565211 -0.0015359371 -0.0015359371
#> 1.91429554166968 -0.0067745339 -0.0067745339 -0.0035052152 -0.0035052152
#> 1.95302761682418 -0.0057446043 -0.0057446043 -0.0003901137 -0.0003901137
#> 1.99178060312141 -0.0021664741 -0.0021664741  0.0033572474  0.0033572474
#> 2.02501049762032  0.0027239846  0.0027239846  0.0067579672  0.0067579672
#> 2.05778004489866  0.0087255639  0.0087255639  0.0087255639  0.0087255639
#> 2.09450607114123  0.0112900431  0.0114270783  0.0133734837  0.0133734837
#> 2.14006616349627  0.0111038638  0.0110734380  0.0133306771  0.0133306771
#> 2.18658617913116  0.0094955157  0.0094955157  0.0101350321  0.0101350321
#> 2.22462355152433  0.0075593597  0.0075593597  0.0067299474  0.0044412405
#> 2.26917603086292  0.0045168044  0.0045168044  0.0025773044 -0.0009191738
#> 2.31817718775388  0.0012933600  0.0012933600  0.0051737739 -0.0051101176
#> 2.36957596181032  0.0002662257  0.0018215551  0.0068648354  0.0018215551
#> 2.43815433799455 -0.0004596495  0.0140389537  0.0152172819  0.0132487735
#> 2.55412171880947  0.0153531442  0.0407569013  0.0425210005  0.0391444292
#> 2.70001802940495  0.0412480527  0.0666471052  0.0704444832  0.0514485697
#>                         [,10]       [,11]       [,12]       [,13]       [,14]
#> 1.64869392029419 -0.004056138 -0.04086403 -0.04086403 -0.06275074 -0.06275074
#> 1.75126810787332 -0.007645323 -0.14044901 -0.14044901 -0.15066238 -0.15066238
#> 1.79946777896389 -0.008045271 -0.22737643 -0.22737643 -0.23613592 -0.23613592
#> 1.87106930768594 -0.009510315 -0.39098341 -0.39098341 -0.40920460 -0.40920460
#> 1.91429554166968 -0.008996984 -0.52522217 -0.52522217 -0.53960395 -0.53960395
#> 1.95302761682418 -0.008640707 -0.65376910 -0.65429729 -0.66546498 -0.66546498
#> 1.99178060312141 -0.009566257 -0.78066399 -0.78066399 -0.79218894 -0.79218894
#> 2.02501049762032 -0.015798741 -0.88985419 -0.88985419 -0.90018552 -0.90018552
#> 2.05778004489866 -0.014327656 -0.98714877 -0.98714877 -0.99459526 -0.99319241
#> 2.09450607114123 -0.016422296 -1.08257607 -1.08257607 -1.09483480 -1.08693864
#> 2.14006616349627 -0.018284936 -1.17743215 -1.17743215 -1.19147902 -1.18767520
#> 2.18658617913116 -0.019891870 -1.24754921 -1.24754921 -1.26140486 -1.25738676
#> 2.22462355152433 -0.020804061 -1.28780901 -1.28780901 -1.30089344 -1.29277427
#> 2.26917603086292 -0.026289319 -1.31911737 -1.31899682 -1.32739088 -1.32267875
#> 2.31817718775388 -0.035614353 -1.33815228 -1.32953719 -1.33987493 -1.33956311
#> 2.36957596181032 -0.032127478 -1.34106542 -1.33485028 -1.35268368 -1.34988068
#> 2.43815433799455 -0.023723574 -1.33333500 -1.33185206 -1.35210172 -1.35107142
#> 2.55412171880947 -0.006309968 -1.31537108 -1.30724900 -1.32829302 -1.32295387
#> 2.70001802940495  0.022497709 -1.27744452 -1.29726725 -1.30643673 -1.30643673
#>                        [,15]       [,16]       [,17]       [,18]       [,19]
#> 1.64869392029419 -0.06275074 -0.09949074 -0.07591668 -0.07591668 -0.07591668
#> 1.75126810787332 -0.17047118 -0.16364585 -0.11288226 -0.11288226 -0.11288226
#> 1.79946777896389 -0.25349389 -0.20507223 -0.12713768 -0.12713768 -0.12713768
#> 1.87106930768594 -0.43736634 -0.26470382 -0.14800733 -0.14800733 -0.14800733
#> 1.91429554166968 -0.57844966 -0.29734754 -0.15020412 -0.15020412 -0.15020412
#> 1.95302761682418 -0.71218817 -0.32361462 -0.15544477 -0.15544477 -0.15544477
#> 1.99178060312141 -0.84588060 -0.34673810 -0.16175403 -0.16175403 -0.16175403
#> 2.02501049762032 -0.95463885 -0.36388890 -0.16817563 -0.16817563 -0.16777084
#> 2.05778004489866 -1.05233519 -0.39308955 -0.17312147 -0.17102125 -0.17102125
#> 2.09450607114123 -1.14708441 -0.40372047 -0.18492816 -0.17156628 -0.17156628
#> 2.14006616349627 -1.24312716 -0.40492150 -0.19256522 -0.18250336 -0.18250336
#> 2.18658617913116 -1.31642176 -0.40839012 -0.19010666 -0.18911005 -0.18911005
#> 2.22462355152433 -1.35700291 -0.40893806 -0.19207362 -0.18957901 -0.18957901
#> 2.26917603086292 -1.38614176 -0.40508519 -0.19683444 -0.19267268 -0.19267268
#> 2.31817718775388 -1.39625718 -0.39622074 -0.20296691 -0.20170824 -0.20170824
#> 2.36957596181032 -1.39312763 -0.38354790 -0.20172753 -0.19123184 -0.19070503
#> 2.43815433799455 -1.38372651 -0.36535672 -0.18805656 -0.18471954 -0.18173546
#> 2.55412171880947 -1.36080510 -0.33913414 -0.16342119 -0.16342119 -0.16072360
#> 2.70001802940495 -1.32844323 -0.32345309 -0.12699709 -0.12699709 -0.12699709
#>                        [,20]       [,21]       [,22]       [,23]       [,24]
#> 1.64869392029419 -0.07776492 -0.07776492 -0.07782284 -0.07782284 -0.07782284
#> 1.75126810787332 -0.11638659 -0.11638659 -0.11652456 -0.11652456 -0.11648859
#> 1.79946777896389 -0.14399299 -0.14399299 -0.14399299 -0.14399299 -0.14398318
#> 1.87106930768594 -0.15205150 -0.15205150 -0.15205150 -0.15205150 -0.15183280
#> 1.91429554166968 -0.16272173 -0.16272173 -0.16272173 -0.16272173 -0.15252648
#> 1.95302761682418 -0.16226711 -0.16226711 -0.16238972 -0.16238972 -0.15544477
#> 1.99178060312141 -0.16300262 -0.16300262 -0.16318802 -0.16318802 -0.16175403
#> 2.02501049762032 -0.16817563 -0.16817563 -0.17004712 -0.17004712 -0.16813731
#> 2.05778004489866 -0.17540478 -0.17102125 -0.18041251 -0.18041251 -0.17548531
#> 2.09450607114123 -0.18478347 -0.17156628 -0.18851366 -0.18851366 -0.18475548
#> 2.14006616349627 -0.19252868 -0.17282801 -0.19277467 -0.19277467 -0.19232941
#> 2.18658617913116 -0.18987897 -0.18295134 -0.19063198 -0.19063198 -0.18940686
#> 2.22462355152433 -0.19160541 -0.18957416 -0.19203291 -0.19203291 -0.18930454
#> 2.26917603086292 -0.19928733 -0.19643261 -0.19663062 -0.19663062 -0.19636449
#> 2.31817718775388 -0.20296691 -0.20170824 -0.20198595 -0.20198595 -0.20198595
#> 2.36957596181032 -0.19123184 -0.19123184 -0.19996941 -0.19996941 -0.19996941
#> 2.43815433799455 -0.18471954 -0.18471954 -0.18471954 -0.18471954 -0.18471954
#> 2.55412171880947 -0.16072360 -0.16072360 -0.16072360 -0.16072360 -0.16072360
#> 2.70001802940495 -0.13040092 -0.12699709 -0.12699709 -0.12699709 -0.12673989
#>                        [,25]       [,26]       [,27]       [,28]       [,29]
#> 1.64869392029419 -0.07782284 -0.07782284 -0.07782284 -0.07782284 -0.07782284
#> 1.75126810787332 -0.11648859 -0.11663248 -0.11663248 -0.11663248 -0.11663248
#> 1.79946777896389 -0.14398318 -0.14427215 -0.14427215 -0.14427215 -0.14422426
#> 1.87106930768594 -0.15183280 -0.15183280 -0.15183280 -0.15183280 -0.14804032
#> 1.91429554166968 -0.15252648 -0.15252648 -0.15252648 -0.15252648 -0.15252648
#> 1.95302761682418 -0.15544477 -0.15544477 -0.15544477 -0.15544477 -0.15403408
#> 1.99178060312141 -0.16175403 -0.16175403 -0.16175403 -0.16175403 -0.16130345
#> 2.02501049762032 -0.16813731 -0.16813731 -0.16813731 -0.16813731 -0.16781210
#> 2.05778004489866 -0.17548531 -0.17548531 -0.17548531 -0.17548531 -0.17059911
#> 2.09450607114123 -0.18475548 -0.18475548 -0.18475548 -0.18475548 -0.17692218
#> 2.14006616349627 -0.19232941 -0.19281121 -0.19281121 -0.19281121 -0.18348655
#> 2.18658617913116 -0.19042024 -0.19300520 -0.19300520 -0.19300520 -0.19042024
#> 2.22462355152433 -0.18943338 -0.19605980 -0.19605980 -0.19605980 -0.18781149
#> 2.26917603086292 -0.19636449 -0.19649562 -0.19649562 -0.19649562 -0.19636449
#> 2.31817718775388 -0.20198595 -0.20198595 -0.20198595 -0.20198595 -0.19991069
#> 2.36957596181032 -0.19996941 -0.19996941 -0.19996941 -0.19996941 -0.19746091
#> 2.43815433799455 -0.18471954 -0.18749405 -0.18749405 -0.19290549 -0.18458513
#> 2.55412171880947 -0.16072360 -0.16072360 -0.16072360 -0.16353839 -0.15479375
#> 2.70001802940495 -0.12673989 -0.12673989 -0.12673989 -0.12699709 -0.12673989
#>                        [,30]       [,31]       [,32]       [,33]       [,34]
#> 1.64869392029419 -0.07914529 -0.07914582 -0.07545206 -0.07545206 -0.07545206
#> 1.75126810787332 -0.12247360 -0.12247360 -0.11114997 -0.11114997 -0.11114997
#> 1.79946777896389 -0.14422426 -0.14422426 -0.12248965 -0.12248965 -0.12248965
#> 1.87106930768594 -0.15333744 -0.15333744 -0.14667935 -0.14667935 -0.14666806
#> 1.91429554166968 -0.16265070 -0.16265070 -0.14412360 -0.14412360 -0.14412360
#> 1.95302761682418 -0.16232359 -0.16232359 -0.15743251 -0.15743251 -0.15743251
#> 1.99178060312141 -0.16344632 -0.16344632 -0.16123810 -0.16123810 -0.16123810
#> 2.02501049762032 -0.17039726 -0.17039726 -0.16138176 -0.16138176 -0.16138176
#> 2.05778004489866 -0.18081741 -0.18081741 -0.16318033 -0.16318033 -0.16318033
#> 2.09450607114123 -0.18882377 -0.18882377 -0.17057038 -0.17057038 -0.17057038
#> 2.14006616349627 -0.19281616 -0.19281616 -0.18358160 -0.18358160 -0.18358160
#> 2.18658617913116 -0.19300520 -0.19300520 -0.19300520 -0.19299436 -0.19524958
#> 2.22462355152433 -0.19605980 -0.19605980 -0.19605980 -0.19529829 -0.19707869
#> 2.26917603086292 -0.19649562 -0.19649562 -0.19649562 -0.19636918 -0.19683888
#> 2.31817718775388 -0.20168355 -0.20168355 -0.20168355 -0.19814114 -0.19814114
#> 2.36957596181032 -0.19819616 -0.19819616 -0.19819616 -0.19520306 -0.19748405
#> 2.43815433799455 -0.18749405 -0.18749405 -0.19053040 -0.19055616 -0.19275789
#> 2.55412171880947 -0.16333499 -0.16333499 -0.16431551 -0.16431551 -0.16500229
#> 2.70001802940495 -0.12682530 -0.12682530 -0.13634477 -0.14836777 -0.15142349
#>                        [,35]       [,36]       [,37]
#> 1.64869392029419 -0.07780738 -0.07780738 -0.07855755
#> 1.75126810787332 -0.11114997 -0.11114997 -0.11624953
#> 1.79946777896389 -0.12248965 -0.12248965 -0.13598143
#> 1.87106930768594 -0.14666806 -0.14666806 -0.14809499
#> 1.91429554166968 -0.14651373 -0.14651373 -0.16262046
#> 1.95302761682418 -0.15761000 -0.15761000 -0.16468028
#> 1.99178060312141 -0.16249923 -0.16249923 -0.17769823
#> 2.02501049762032 -0.16818960 -0.16818960 -0.19098381
#> 2.05778004489866 -0.17194588 -0.17194588 -0.20582514
#> 2.09450607114123 -0.17448868 -0.17448868 -0.20232319
#> 2.14006616349627 -0.18358160 -0.18358160 -0.20961183
#> 2.18658617913116 -0.19524958 -0.19524958 -0.21733913
#> 2.22462355152433 -0.19707869 -0.19707869 -0.22104118
#> 2.26917603086292 -0.20359666 -0.19683888 -0.21728171
#> 2.31817718775388 -0.20172657 -0.19814114 -0.21192715
#> 2.36957596181032 -0.19908742 -0.19748405 -0.20455451
#> 2.43815433799455 -0.19055616 -0.19055616 -0.20592440
#> 2.55412171880947 -0.16484717 -0.17523436 -0.19696447
#> 2.70001802940495 -0.14543195 -0.14836777 -0.18215752
#> 
#> $ciupper
#>                       [,1]      [,2]      [,3]      [,4]      [,5]      [,6]
#> 1.64869392029419 0.1902771 0.1902771 0.1902771 0.1902771 0.1902771 0.2011246
#> 1.75126810787332 0.2725232 0.2725232 0.2725232 0.2723081 0.2723081 0.2745649
#> 1.79946777896389 0.2811190 0.2811190 0.2811190 0.2811072 0.2811072 0.2862768
#> 1.87106930768594 0.2905248 0.2905248 0.2905248 0.2892992 0.2908814 0.2967847
#> 1.91429554166968 0.2882668 0.2882668 0.2939109 0.2939109 0.2971048 0.3063531
#> 1.95302761682418 0.2879523 0.2879523 0.2953835 0.2953835 0.2971637 0.3078005
#> 1.99178060312141 0.2879340 0.2879340 0.2883792 0.2883792 0.2918997 0.3049941
#> 2.02501049762032 0.2800615 0.2800615 0.2806920 0.2806920 0.2912116 0.2985794
#> 2.05778004489866 0.2740313 0.2740277 0.2776192 0.2741072 0.2871374 0.2973909
#> 2.09450607114123 0.2674929 0.2674927 0.2711351 0.2674927 0.2837551 0.2913903
#> 2.14006616349627 0.2537188 0.2537555 0.2667840 0.2561964 0.2807510 0.2837917
#> 2.18658617913116 0.2434904 0.2437788 0.2571933 0.2448716 0.2723771 0.2781456
#> 2.22462355152433 0.2390824 0.2408856 0.2481816 0.2457930 0.2625676 0.2761566
#> 2.26917603086292 0.2335936 0.2384987 0.2438219 0.2438219 0.2528180 0.2755358
#> 2.31817718775388 0.2327989 0.2397434 0.2433515 0.2433515 0.2615668 0.2787623
#> 2.36957596181032 0.2391679 0.2457849 0.2503061 0.2503061 0.2717449 0.2853753
#> 2.43815433799455 0.2526340 0.2582100 0.2676740 0.2644300 0.2859206 0.2979311
#> 2.55412171880947 0.2907247 0.2997362 0.3067415 0.2950619 0.3110092 0.3325640
#> 2.70001802940495 0.3542773 0.3603483 0.3603483 0.3494825 0.3561936 0.3603483
#>                       [,7]      [,8]      [,9]     [,10]        [,11]
#> 1.64869392029419 0.2011246 0.2011684 0.2011670 0.2011670  0.169410593
#> 1.75126810787332 0.2745661 0.2751826 0.2751826 0.2751826  0.161690325
#> 1.79946777896389 0.2862793 0.3029620 0.3029620 0.3029620  0.116855090
#> 1.87106930768594 0.2967847 0.3187920 0.3187920 0.3187920  0.009028192
#> 1.91429554166968 0.3063531 0.3137874 0.3173151 0.3173151 -0.094442099
#> 1.95302761682418 0.3078005 0.3091223 0.3109853 0.3109853 -0.200820538
#> 1.99178060312141 0.3049941 0.3054531 0.3060642 0.3060642 -0.318554873
#> 2.02501049762032 0.2985794 0.3016645 0.3024213 0.3024213 -0.420430977
#> 2.05778004489866 0.2973909 0.2980019 0.2990712 0.2990712 -0.518119674
#> 2.09450607114123 0.2913903 0.2928833 0.2996647 0.2996647 -0.613676888
#> 2.14006616349627 0.2837917 0.2843491 0.3011271 0.3011271 -0.716256033
#> 2.18658617913116 0.2781456 0.2832997 0.3032089 0.3032089 -0.804513509
#> 2.22462355152433 0.2761566 0.2842065 0.2994446 0.2994446 -0.864931623
#> 2.26917603086292 0.2755358 0.2845574 0.2972874 0.2972874 -0.911194368
#> 2.31817718775388 0.2787623 0.2847863 0.2982012 0.2982012 -0.933461694
#> 2.36957596181032 0.2853753 0.2891925 0.3058656 0.3058656 -0.938712558
#> 2.43815433799455 0.3030944 0.3068857 0.3168954 0.3168954 -0.929144374
#> 2.55412171880947 0.3325640 0.3342139 0.3342139 0.3342139 -0.904149702
#> 2.70001802940495 0.3603483 0.3646252 0.3646252 0.3646252 -0.850660965
#>                         [,12]        [,13]       [,14]       [,15]     [,16]
#> 1.64869392029419  0.169159999  0.169159999  0.16732301  0.22942837 0.1215162
#> 1.75126810787332  0.151965000  0.151965000  0.15181881  0.23295008 0.1571829
#> 1.79946777896389  0.115397473  0.116155045  0.10780801  0.18697111 0.1674945
#> 1.87106930768594 -0.005168761 -0.005168761 -0.01946925  0.05920341 0.1786702
#> 1.91429554166968 -0.107345118 -0.107345118 -0.12544609 -0.07169316 0.1768433
#> 1.95302761682418 -0.212090357 -0.212200443 -0.23374080 -0.18754802 0.1719530
#> 1.99178060312141 -0.324128992 -0.340518098 -0.34945988 -0.30299686 0.1622903
#> 2.02501049762032 -0.425343382 -0.451264055 -0.45196341 -0.40332604 0.1533213
#> 2.05778004489866 -0.521133486 -0.551125457 -0.55187988 -0.49842525 0.1447387
#> 2.09450607114123 -0.621731837 -0.648261214 -0.64906666 -0.59557115 0.1462780
#> 2.14006616349627 -0.731917318 -0.744366279 -0.75432380 -0.69655703 0.1417984
#> 2.18658617913116 -0.819364239 -0.815365997 -0.84448585 -0.77377479 0.1447897
#> 2.22462355152433 -0.871346419 -0.866488463 -0.90147930 -0.82520949 0.1449781
#> 2.26917603086292 -0.919050992 -0.919050992 -0.93744589 -0.86868611 0.1435294
#> 2.31817718775388 -0.957624451 -0.953751683 -0.95359421 -0.88845727 0.1421791
#> 2.36957596181032 -0.975868554 -0.960147245 -0.96012259 -0.89489075 0.1440707
#> 2.43815433799455 -0.969635341 -0.958246804 -0.95834389 -0.89371275 0.1546692
#> 2.55412171880947 -0.914082040 -0.913627569 -0.91654156 -0.86283646 0.1810485
#> 2.70001802940495 -0.886908432 -0.850958747 -0.86295897 -0.83234507 0.2170015
#>                      [,17]     [,18]      [,19]      [,20]      [,21]
#> 1.64869392029419 0.1109093 0.1215162 0.11113373 0.11113373 0.11033904
#> 1.75126810787332 0.1327324 0.1334544 0.13212821 0.13212821 0.10811491
#> 1.79946777896389 0.1459877 0.1459877 0.13740353 0.13740342 0.10950187
#> 1.87106930768594 0.1624951 0.1624951 0.13362501 0.13362448 0.10256275
#> 1.91429554166968 0.1656564 0.1656564 0.12296310 0.12296185 0.09938122
#> 1.95302761682418 0.1604892 0.1604892 0.11297356 0.10959794 0.08730857
#> 1.99178060312141 0.1511624 0.1511624 0.10344243 0.09423271 0.06838730
#> 2.02501049762032 0.1445436 0.1445436 0.09502033 0.08078547 0.05957473
#> 2.05778004489866 0.1390817 0.1390817 0.08677147 0.06838019 0.05116107
#> 2.09450607114123 0.1336558 0.1336558 0.08291785 0.05659065 0.04563954
#> 2.14006616349627 0.1266010 0.1266010 0.08341394 0.04639189 0.03490826
#> 2.18658617913116 0.1184590 0.1184590 0.08731471 0.04188233 0.02086566
#> 2.22462355152433 0.1114354 0.1114354 0.09187893 0.03957310 0.01298304
#> 2.26917603086292 0.1042331 0.1042331 0.09720312 0.04040674 0.01243229
#> 2.31817718775388 0.1050730 0.1050730 0.09667204 0.04323816 0.01745185
#> 2.36957596181032 0.1119658 0.1119658 0.09923212 0.05336151 0.03310882
#> 2.43815433799455 0.1217083 0.1217083 0.10707769 0.08747754 0.04384971
#> 2.55412171880947 0.1592146 0.1592146 0.12690391 0.11399136 0.07899647
#> 2.70001802940495 0.1641697 0.1641697 0.15061343 0.13759089 0.12647789
#>                        [,22]       [,23]       [,24]         [,25]       [,26]
#> 1.64869392029419 0.110070462 0.110070462 0.109877578  0.1098775780 0.109877578
#> 1.75126810787332 0.108114906 0.108114906 0.108114906  0.1081149059 0.108192089
#> 1.79946777896389 0.109501872 0.109501872 0.105118064  0.1051180637 0.105206292
#> 1.87106930768594 0.108005590 0.102562745 0.089765370  0.0852138948 0.089901645
#> 1.91429554166968 0.100088079 0.099381225 0.077224849  0.0751002296 0.077300267
#> 1.95302761682418 0.088466742 0.087308567 0.066937103  0.0647129596 0.064992734
#> 1.99178060312141 0.071042685 0.068387303 0.061024535  0.0581322640 0.058247463
#> 2.02501049762032 0.059574734 0.055713838 0.054779841  0.0547798412 0.054780183
#> 2.05778004489866 0.051161070 0.042420979 0.042420979  0.0424209785 0.042420979
#> 2.09450607114123 0.045639545 0.032836304 0.032836304  0.0328363037 0.032836304
#> 2.14006616349627 0.034908263 0.028695144 0.028695144  0.0286951445 0.028718176
#> 2.18658617913116 0.020865657 0.018326543 0.018326543  0.0183265431 0.020865657
#> 2.22462355152433 0.012881858 0.011722620 0.011722620  0.0103542875 0.012881858
#> 2.26917603086292 0.007849083 0.004098953 0.004098953  0.0004364986 0.005895488
#> 2.31817718775388 0.015782237 0.015782237 0.014350220 -0.0046517668 0.009544799
#> 2.36957596181032 0.022694604 0.022694604 0.017228767 -0.0004631932 0.013602377
#> 2.43815433799455 0.031015123 0.031015123 0.031008098  0.0178246579 0.021753353
#> 2.55412171880947 0.061919848 0.061919848 0.061919848  0.0551480994 0.057116208
#> 2.70001802940495 0.117539972 0.117539972 0.117539972  0.1072371590 0.107237159
#>                       [,27]      [,28]      [,29]      [,30]      [,31]
#> 1.64869392029419 0.10987758 0.10987758 0.10987758 0.10987758 0.10987758
#> 1.75126810787332 0.10819209 0.10819209 0.11052598 0.11052598 0.11052598
#> 1.79946777896389 0.10520629 0.10520629 0.10738452 0.10738452 0.10642284
#> 1.87106930768594 0.08990164 0.08990164 0.09325854 0.09325854 0.09664061
#> 1.91429554166968 0.07730027 0.07730027 0.08192804 0.08192804 0.09064605
#> 1.95302761682418 0.06499273 0.06499273 0.07170215 0.07170215 0.07796583
#> 1.99178060312141 0.05824746 0.05824746 0.06217668 0.06217668 0.06217668
#> 2.02501049762032 0.05478018 0.05478018 0.05478018 0.05478018 0.05478018
#> 2.05778004489866 0.04242098 0.04242098 0.04745683 0.04745683 0.04745683
#> 2.09450607114123 0.03283630 0.03283630 0.03948456 0.03948456 0.03948456
#> 2.14006616349627 0.02871818 0.02871818 0.02891672 0.02891672 0.02886414
#> 2.18658617913116 0.02086566 0.02086566 0.02086566 0.02086566 0.02298232
#> 2.22462355152433 0.01300935 0.01300935 0.01300935 0.01300935 0.01858877
#> 2.26917603086292 0.01237690 0.01237690 0.01237690 0.01237690 0.01882996
#> 2.31817718775388 0.01434471 0.01434471 0.01438976 0.01438976 0.01739687
#> 2.36957596181032 0.01709307 0.01709307 0.01722541 0.01722541 0.02256369
#> 2.43815433799455 0.03431447 0.03431447 0.03431447 0.03431447 0.03480701
#> 2.55412171880947 0.05711783 0.05711783 0.06112766 0.06112766 0.07882814
#> 2.70001802940495 0.10723716 0.10723716 0.10698088 0.09558540 0.10776857
#>                       [,32]      [,33]       [,34]       [,35]       [,36]
#> 1.64869392029419 0.10987758 0.10987758 0.109877578 0.095050853 0.109973184
#> 1.75126810787332 0.12000933 0.12000933 0.120009332 0.110029776 0.111920336
#> 1.79946777896389 0.10738753 0.10738753 0.107387528 0.101445596 0.105046461
#> 1.87106930768594 0.09664061 0.09664061 0.093279529 0.084381939 0.093023987
#> 1.91429554166968 0.09067309 0.09067309 0.081928040 0.074634501 0.081531563
#> 1.95302761682418 0.07822348 0.07822348 0.071702151 0.063641051 0.068375532
#> 1.99178060312141 0.06761893 0.06761893 0.062176685 0.053742168 0.058113073
#> 2.02501049762032 0.05960450 0.05960450 0.054785957 0.041311765 0.054498768
#> 2.05778004489866 0.05114238 0.05114238 0.047456829 0.033578879 0.042605314
#> 2.09450607114123 0.04560096 0.04560096 0.039484562 0.030526918 0.032679985
#> 2.14006616349627 0.03375594 0.03375594 0.028916722 0.025297106 0.028541515
#> 2.18658617913116 0.02301237 0.02301237 0.020865657 0.017205680 0.018111396
#> 2.22462355152433 0.01698592 0.01698592 0.012891838 0.007976042 0.012891838
#> 2.26917603086292 0.01788264 0.01788264 0.008563569 0.002548302 0.008563569
#> 2.31817718775388 0.01446231 0.01446231 0.005636776 0.003996148 0.005636776
#> 2.36957596181032 0.02014379 0.02014379 0.013250272 0.006255589 0.013195795
#> 2.43815433799455 0.04278764 0.03453302 0.025584585 0.020458771 0.025584585
#> 2.55412171880947 0.08470634 0.08335530 0.078683563 0.060925081 0.062255759
#> 2.70001802940495 0.12616668 0.10776857 0.113310993 0.095074938 0.113414963
#>                       [,37]
#> 1.64869392029419 0.10997318
#> 1.75126810787332 0.12002286
#> 1.79946777896389 0.11539631
#> 1.87106930768594 0.10816936
#> 1.91429554166968 0.10403770
#> 1.95302761682418 0.10418853
#> 1.99178060312141 0.09520620
#> 2.02501049762032 0.08785799
#> 2.05778004489866 0.08195645
#> 2.09450607114123 0.07738103
#> 2.14006616349627 0.07468427
#> 2.18658617913116 0.07458081
#> 2.22462355152433 0.07568698
#> 2.26917603086292 0.07756215
#> 2.31817718775388 0.07984558
#> 2.36957596181032 0.08261363
#> 2.43815433799455 0.08824320
#> 2.55412171880947 0.09192413
#> 2.70001802940495 0.15749210
#> 
#> $cenval
#> [1] 0
#> 
#> $cumulative.effect
#>        vals       mean     lower      upper
#> 1  1.648694  0.8862769 -1.478375  4.9811474
#> 2  1.751268  0.8681529 -2.502094  5.4135260
#> 3  1.799468  0.5420409 -3.094583  5.0556428
#> 4  1.871069 -0.4215556 -3.846607  4.0627321
#> 5  1.914296 -1.2516488 -4.427309  3.2117808
#> 6  1.953028 -2.0997001 -5.252384  2.3937777
#> 7  1.991781 -2.9878839 -5.950381  1.5417411
#> 8  2.025010 -3.7350173 -6.481308  0.8425071
#> 9  2.057780 -4.4224928 -6.950826  0.1828463
#> 10 2.094506 -5.1013907 -7.505703 -0.5175100
#> 11 2.140066 -5.7735058 -8.208612 -1.2674343
#> 12 2.186586 -6.2470951 -8.717528 -1.9567001
#> 13 2.224624 -6.4781391 -8.962946 -2.4551274
#> 14 2.269176 -6.5876907 -9.278103 -2.9205852
#> 15 2.318177 -6.5387067 -9.551427 -3.3215805
#> 16 2.369576 -6.3390891 -9.489215 -3.1774118
#> 17 2.438154 -5.9158994 -9.264548 -2.7628597
#> 18 2.554122 -5.0569709 -8.169011 -0.8225714
#> 19 2.700018 -4.1816185 -7.360827  1.0709032
#> 
#> $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 
#>  -2.0189696  -0.9234001   1.0378419  -0.7524061   0.4119092   0.2337852 
#>          b1          b2          b3          b4          b5 
#>  -0.2024722   1.2402184   0.3228381   0.4197053   0.1428341 
#> 
#> $gamma.ci
#>       (Intercept)         c1        c2         c3        c4        c5
#> 2.5%   -11.134534 -1.0259930 0.9251137 -0.8585004 0.3027533 0.1449769
#> 97.5%    7.313299 -0.8100624 1.1418635 -0.6401646 0.5271554 0.3285218
#>                b1       b2        b3        b4          b5
#> 2.5%  -0.39991608 1.027891 0.1077477 0.2159510 -0.03882277
#> 97.5%  0.00536651 1.431010 0.5454717 0.6142994  0.34617555
#> 
#> $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: 0x560a12b57ba0>
#> 
#> 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] 0.04430494
#> 
#> $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   0.115
#> mod_scale 1.000
#> c1        0.135
#> c2        0.105
#> c3        0.195
#> c4        0.140
#> c5        0.100
#> b1        0.135
#> b2        0.090
#> b3        0.075
#> b4        0.125
#> b5        0.090
#> 
#> $gamma.mean
#> (Intercept)     mod_num     mod_bin   mod_scale          c1          c2 
#>  -0.1862483  -0.7126628   1.2094548   0.6159085   0.3756190   2.0556533 
#>          c3          c4          c5          b1          b2          b3 
#>   0.2413106   0.5839627   1.8576200  -0.5035921   0.8235620  -0.2077240 
#>          b4          b5 
#>   0.1783000   1.1558524 
#> 
#> $gamma.ci
#>       (Intercept)    mod_num  mod_bin mod_scale        c1       c2        c3
#> 2.5%  -0.38334024 -0.7737218 1.106133 0.4146648 0.3223503 1.989121 0.1794294
#> 97.5%  0.02904667 -0.6569981 1.324129 0.8320243 0.4288896 2.113010 0.2975962
#>              c4       c5         b1        b2          b3         b4       b5
#> 2.5%  0.5184157 1.802830 -0.6066751 0.6985037 -0.33242046 0.07628607 1.025388
#> 97.5% 0.6505443 1.918972 -0.3755983 0.9392812 -0.08923228 0.29027425 1.275137
#> 
#> $formula
#> y ~ .
#> <environment: 0x560a12b57ba0>
#> 
#> 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 : 4.341692
#> - e2 : 4.711864
#> - e3 : 4.681254
#> - e4 : 4.312543
#> - e5 : 6.30001
#> 
#> Reconstructing main effects...
#> Reconstructing interaction effects...
#> 0%...25%...50%...75%...100%
#> 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: 18 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] 0.2742594
#> 
#> $n
#> [1] 1000
#> 
#> $pip
#>             PIP
#> mod_num   0.960
#> mod_bin   0.960
#> mod_scale 0.580
#> c1        0.690
#> c2        0.530
#> c3        0.645
#> c4        0.600
#> c5        0.505
#> b1        0.640
#> b2        0.555
#> b3        0.595
#> b4        0.645
#> b5        0.520
#> 
#> $gamma.mean
#> (Intercept)     mod_num     mod_bin   mod_scale          c1          c2 
#> -0.15321003 -2.05161101  1.37352935  0.48390323 -1.06373864  0.03485489 
#>          c3          c4          c5          b1          b2          b3 
#>  1.75041409  1.63755875  0.66571007  0.14649555 -1.25700126  2.04640895 
#>          b4          b5 
#>  0.21035030 -1.68854080 
#> 
#> $gamma.ci
#>       (Intercept)   mod_num  mod_bin mod_scale         c1          c2       c3
#> 2.5%   -0.4940778 -2.223884 1.118083 0.2335794 -1.1251278 -0.04248857 1.666153
#> 97.5%   0.1634013 -1.909221 1.679947 0.7605201 -0.9946516  0.11282282 1.823024
#>             c4        c5           b1        b2       b3         b4        b5
#> 2.5%  1.560061 0.6002451 -0.008498579 -1.399165 1.921855 0.06410721 -1.817405
#> 97.5% 1.709705 0.7281976  0.284968237 -1.109070 2.170128 0.37493595 -1.553118
#> 
#> $formula
#> y ~ .
#> <environment: 0x560a12b57ba0>
#> 
#> attr(,"class")
#> [1] "summary.hdlmm"

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


# }