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Fitted values for a dynamitefit object, i.e., \(E(y_t | newdata, \theta)\) where \(\theta\) contains all the model parameters. See also predict.dynamitefit() for multi-step predictions.

Usage

# S3 method for class 'dynamitefit'
fitted(
  object,
  newdata = NULL,
  n_draws = NULL,
  thin = 1,
  expand = TRUE,
  df = TRUE,
  ...
)

Arguments

object

[dynamitefit]
The model fit object.

newdata

[data.frame]
Data used in predictions. If NULL (default), the data used in model estimation is used for predictions as well. There should be no new time points that were not present in the data that were used to fit the model, and no new group levels can be included.

n_draws

[integer(1)]
Number of posterior samples to use, default is NULL which uses all samples without permuting (with chains concatenated). If n_drawsis smaller than ndraws(object), a random subset of n_draws posterior samples are used.

thin

[integer(1)]
Use only every thin posterior sample. This can be beneficial with when the model object contains large number of samples. Default is 1 meaning that all samples are used.

expand

[logical(1)]
If TRUE (the default), the output is a single data.frame containing the original newdata and the predicted values. Otherwise, a list is returned with two components, simulated and observed, where the first contains only the predicted values, and the second contains the original newdata. Setting expand to FALSE can help conserve memory because newdata is not replicated n_draws times in the output. This argument is ignored if funs are provided.

df

[logical(1)]
If TRUE (default) the output consists of data.frame objects, and data.table objects otherwise.

...

Ignored.

Value

A data.frame containing the fitted values.

See also

Obtaining predictions predict.dynamitefit()

Examples

data.table::setDTthreads(1) # For CRAN
fitted(gaussian_example_fit, n_draws = 2L)
#>      id time .draw     y_fitted             x z            y
#> 1     1    1     1           NA -0.5753469626 0  0.404690656
#> 2     1    2     1  1.824046192  1.0527114656 1  1.366561787
#> 3     1    3     1  0.128558253  0.1192452364 0  0.104795746
#> 4     1    4     1  0.516781440 -0.5211173176 0  0.929566554
#> 5     1    5     1  1.055191096  1.3011759922 1  0.860590438
#> 6     1    6     1  2.529136158 -0.2052992575 1  2.116082005
#> 7     1    7     1  2.107358891  0.4922285701 1  2.297089650
#> 8     1    8     1 -0.002202432  0.8719649541 0 -0.139421359
#> 9     1    9     1  2.393703127 -0.0973692675 1  2.317530179
#> 10    1   10     1  1.992218666 -0.8338435805 0  1.937360674
#> 11    1   11     1  1.646959737 -0.3970305203 0  1.657080795
#> 12    1   12     1  0.024069550  0.8636484342 0  0.218155954
#> 13    1   13     1 -1.017791932  1.0610952533 0 -0.944676028
#> 14    1   14     1  1.179201492  0.5397906055 1  1.386499245
#> 15    1   15     1  6.464033354 -2.5079178022 1  6.593880944
#> 16    1   16     1  3.732969632  0.9112096768 1  3.852378758
#> 17    1   17     1  0.174081803  2.5754497637 1  0.322540139
#> 18    1   18     1  1.294150195  0.7841708791 1  1.529191330
#> 19    1   19     1 -2.875650295  2.7973911470 0 -3.053726414
#> 20    1   20     1 -0.861219924  1.4819340159 1 -0.916626670
#> 21    1   21     1  2.716591941 -0.6249283875 1  2.478956305
#> 22    1   22     1  2.146478031  0.5102732511 1  2.471760969
#> 23    1   23     1  2.321368257  0.2018374723 1  2.483551899
#> 24    1   24     1  1.615127984  0.7412773772 1  1.558667362
#> 25    1   25     1  0.841957507  1.3426239200 1  0.603979578
#> 26    1   26     1 -1.643357189  1.9001363349 0 -1.670883500
#> 27    1   27     1  1.622586754  0.0650680195 1  1.583935930
#> 28    1   28     1  2.581659139 -0.8682240473 1  2.719419770
#> 29    1   29     1  2.189518220 -0.2382486959 1  1.834727911
#> 30    1   30     1  2.897871366 -0.6860240001 1  2.840950465
#> 31    2    1     1           NA  0.6079643222 1  0.799914607
#> 32    2    2     1  2.235243320 -1.0491770067 1  2.149899777
#> 33    2    3     1  2.167377446  0.2436874296 1  2.040891783
#> 34    2    4     1  2.819917063 -0.4898704531 1  2.954428636
#> 35    2    5     1  1.915255857  0.7567747638 1  2.145966376
#> 36    2    6     1  1.890228596  0.6511932816 1  1.911350810
#> 37    2    7     1  2.355216870  0.2678350153 1  2.347386937
#> 38    2    8     1  3.253895707 -0.3484724490 1  2.997893465
#> 39    2    9     1  3.026341425  0.2161525418 1  2.973068796
#> 40    2   10     1  2.837021824  0.5787223746 1  2.749272526
#> 41    2   11     1  4.999666475 -1.2175999878 1  5.134904795
#> 42    2   12     1  1.199546155  1.3805145283 0  1.299656939
#> 43    2   13     1  1.469117183 -0.2128482786 0  1.431866443
#> 44    2   14     1  0.277861259  0.6164557164 0  0.139077598
#> 45    2   15     1  4.646757142 -1.5652817650 1  4.307466136
#> 46    2   16     1  1.951454569  0.1424584320 0  1.645318818
#> 47    2   17     1  2.721252135 -1.1852888106 0  2.739822928
#> 48    2   18     1  0.222223168  2.2996193612 1  0.400544920
#> 49    2   19     1 -3.325511988  2.8322260239 0 -3.232121868
#> 50    2   20     1 -0.086344890 -0.6129877549 0 -0.096106520
#> 51    2   21     1  0.973900506  0.9571642742 1  0.808179646
#> 52    2   22     1  0.837342480 -0.3331209012 0  0.806465525
#> 53    2   23     1  2.740166675 -0.4271963863 1  2.966742075
#> 54    2   24     1  1.756369469  0.7532950478 1  1.682595750
#> 55    2   25     1  0.927967178 -0.5035252869 0  0.841259557
#> 56    2   26     1  0.066320178  0.1100091234 0  0.401112094
#> 57    2   27     1 -0.387959903  0.5785892916 0 -0.596732278
#> 58    2   28     1 -0.480807717  0.7295603610 0 -0.103846778
#> 59    2   29     1  3.080053279 -1.5578549039 1  3.318138732
#> 60    2   30     1  2.609353541  0.9934799821 1  2.385513284
#> 61    3    1     1           NA -1.6178827083 0  1.589469150
#> 62    3    2     1  0.525766685 -1.2601552448 0  0.617471337
#> 63    3    3     1  1.200662501  1.2324758785 1  0.933796334
#> 64    3    4     1  2.350739201  0.0471544328 1  2.464414121
#> 65    3    5     1  2.339187093 -1.7267303991 0  2.393225576
#> 66    3    6     1  0.527464356  0.2737664910 0  0.443974132
#> 67    3    7     1  1.785883006  0.6532576795 1  2.049700719
#> 68    3    8     1  2.468764073  0.5185037659 1  2.358937157
#> 69    3    9     1  2.380430666  0.8824651644 1  2.186053658
#> 70    3   10     1  4.367620714 -1.0875807141 1  4.528401569
#> 71    3   11     1  2.583883218  1.6875894829 1  2.426948131
#> 72    3   12     1 -0.875162024  1.9662480155 0 -1.006076800
#> 73    3   13     1  2.217744668 -0.0936367939 1  2.184646963
#> 74    3   14     1  2.764039584  0.6165678175 1  2.457425439
#> 75    3   15     1  1.755699916 -0.0776732006 0  1.814345957
#> 76    3   16     1  5.211058123 -1.3894835240 1  5.341931014
#> 77    3   17     1  2.560609181  0.1009198590 0  2.612250999
#> 78    3   18     1  3.298975424  0.1567029874 1  3.492895037
#> 79    3   19     1  5.454396281 -1.2187118163 1  5.591424183
#> 80    3   20     1  3.031843382  1.1161366155 1  2.959620779
#> 81    3   21     1  0.221254036  2.4244891412 1  0.323614017
#> 82    3   22     1  2.492854297 -0.0659609464 1  2.617828575
#> 83    3   23     1  0.513339256  0.2681028700 0  0.358802880
#> 84    3   24     1  2.511194648 -0.2626705034 1  2.476196111
#> 85    3   25     1  1.924977929  0.7166833209 1  2.114982126
#> 86    3   26     1  1.509702359  1.1403868251 1  1.189201279
#> 87    3   27     1  3.135078270 -1.1692066215 1  3.239107424
#> 88    3   28     1  0.064032400  0.5002658724 0 -0.008853710
#> 89    3   29     1 -0.072425704  0.7613098954 0 -0.360347074
#> 90    3   30     1  2.776584305  0.0385235991 1  2.857669749
#> 91    4    1     1           NA -0.0555619655 1 -0.509070404
#> 92    4    2     1  1.601006727  3.2410399349 1  1.662914737
#> 93    4    3     1  2.898060013 -0.5160638309 1  2.713559641
#> 94    4    4     1 -0.372959549  1.3001986777 0 -0.654154140
#> 95    4    5     1  2.776297408 -0.6015067080 1  2.880026657
#> 96    4    6     1 -0.188454594  1.0246732348 0 -0.512214487
#> 97    4    7     1  2.433727177 -0.1227086610 1  2.357019808
#> 98    4    8     1  1.487638131 -0.3906849786 0  1.333609316
#> 99    4    9     1  2.722522426  0.2055975045 1  2.563418561
#> 100   4   10     1 -0.027673496  1.4840309316 0 -0.153086411
#> 101   4   11     1  0.421039560 -0.0160025272 0  0.516660645
#> 102   4   12     1  2.808669402 -0.0283950547 1  2.768632032
#> 103   4   13     1  4.170855449 -0.0867141350 1  4.435263347
#> 104   4   14     1  7.210314273 -1.6921015209 1  7.245585692
#> 105   4   15     1  5.385362915  0.2062940448 1  5.307947840
#> 106   4   16     1  3.941990479 -0.8660377447 0  3.940906546
#> 107   4   17     1  6.634495864 -1.7799772880 1  6.330504622
#> 108   4   18     1  4.957228931  0.0467335275 1  5.208499829
#> 109   4   19     1  3.866498189  0.4690319560 1  3.772663633
#> 110   4   20     1  2.456486044  1.0365480099 1  2.449861713
#> 111   4   21     1  4.383373309 -0.9159792437 1  4.337403489
#> 112   4   22     1  3.648271812 -0.1152217094 1  3.491070826
#> 113   4   23     1  4.533954952 -1.2304309254 1  4.648292859
#> 114   4   24     1  1.588238243 -0.3125438690 0  1.476969981
#> 115   4   25     1  1.300830883 -0.7496685841 0  1.071210218
#> 116   4   26     1  1.637155370  0.7680813047 1  1.339660702
#> 117   4   27     1 -0.269051813  0.8061848554 0 -0.236030426
#> 118   4   28     1  1.723013892  0.6342502537 1  1.998996179
#> 119   4   29     1 -0.349727189  1.1291443956 0 -0.516310824
#> 120   4   30     1  2.633787630  0.5361489758 1  2.477371860
#> 121   5    1     1           NA  0.5194072039 1 -1.015564748
#> 122   5    2     1  0.037979449 -0.4168575882 0 -0.358001992
#> 123   5    3     1  0.850532494 -0.9925071504 0  0.995924635
#> 124   5    4     1  0.340116453  2.2930789738 1  0.435371740
#> 125   5    5     1  2.569927705 -0.3520464566 1  2.686379055
#> 126   5    6     1  1.820938455  0.8176594464 1  1.914369287
#> 127   5    7     1  3.118254710 -0.4136765136 1  2.890286451
#> 128   5    8     1  2.179685456 -1.0927872091 0  2.177077263
#> 129   5    9     1  3.591326790 -0.6164358429 1  3.387878492
#> 130   5   10     1  2.795528020 -1.1862065853 0  3.071519967
#> 131   5   11     1  2.473126250  1.0749450773 1  2.484300724
#> 132   5   12     1  6.751559862 -2.2490510903 1  6.432870397
#> 133   5   13     1  1.720053741  1.4414617561 0  1.555910025
#> 134   5   14     1  0.712381026  0.3687420580 0  0.642576596
#> 135   5   15     1  2.292675850  0.2768724589 1  2.794626863
#> 136   5   16     1  1.771320135 -0.1632849322 0  1.975275125
#> 137   5   17     1  2.298573014  0.5898359230 1  2.377354020
#> 138   5   18     1  1.172185129  0.0965858341 0  1.423748628
#> 139   5   19     1  1.170492055 -0.2112469186 0  1.104385321
#> 140   5   20     1  2.906487971 -0.1624831319 1  2.927595835
#> 141   5   21     1  1.835657805  1.0576641709 1  1.804799350
#> 142   5   22     1  3.492246130 -0.6505126188 1  3.468711050
#> 143   5   23     1  3.035516872 -0.1361368722 1  2.773317033
#> 144   5   24     1  0.558380983  0.0735986090 0  0.090839406
#> 145   5   25     1  2.521773676 -0.4785282105 1  2.581973374
#> 146   5   26     1  1.574798545 -1.1680916221 0  1.427473427
#> 147   5   27     1  1.934103116  0.3073900762 1  2.249363143
#> 148   5   28     1  1.868368621  0.4236450456 1  1.653165083
#> 149   5   29     1  0.343667469 -0.2951078307 0  0.109843919
#> 150   5   30     1  2.801910564 -0.5236266979 1  3.098508130
#> 151   6    1     1           NA  0.3011533622 0  0.100858666
#> 152   6    2     1  0.111712151  0.2982275915 0 -0.077473924
#> 153   6    3     1  0.645985143  1.6756969324 1  0.688756122
#> 154   6    4     1 -0.954744124  1.5475810590 0 -1.018973558
#> 155   6    5     1  1.467477914  0.7035239028 1  1.760778549
#> 156   6    6     1  2.847687219 -0.2097931712 1  3.171997074
#> 157   6    7     1  5.933562990 -2.6431489520 1  6.241876948
#> 158   6    8     1  0.732337161  1.2100105104 0  0.821080598
#> 159   6    9     1  1.454864985 -0.7347992519 0  1.595493535
#> 160   6   10     1  2.917153808  0.1010791514 1  2.785827430
#> 161   6   11     1  6.754158763 -2.6016996703 1  6.873161645
#> 162   6   12     1  4.081767977  0.0315260046 0  4.057492642
#> 163   6   13     1  1.047924958  1.1250718923 0  0.965979753
#> 164   6   14     1  1.620966772  0.9678592099 1  1.992564997
#> 165   6   15     1  2.212058312  0.8215067804 1  1.748782349
#> 166   6   16     1 -0.425131353  2.5530261135 1 -0.398741205
#> 167   6   17     1 -1.265612424  1.0966084717 0 -1.243935377
#> 168   6   18     1 -0.162678680  0.0697662309 0  0.090187707
#> 169   6   19     1  0.209137401  0.1870511466 0  0.304185792
#> 170   6   20     1  1.816998188 -0.9759266928 0  2.119589527
#> 171   6   21     1  1.976047589  0.8251497278 1  2.270608134
#> 172   6   22     1  5.457239382 -2.0186886591 1  5.462765820
#> 173   6   23     1  2.429341524  0.8257908317 1  3.031629934
#> 174   6   24     1 -0.446272006  1.0630177893 0 -0.290063217
#> 175   6   25     1 -0.413886230  0.4387217506 0 -0.255384632
#> 176   6   26     1  2.186498482 -0.1711126523 1  2.058993810
#> 177   6   27     1  2.154913977  0.2638060136 1  2.451878672
#> 178   6   28     1  0.408106406 -0.2018380447 0  0.355040854
#> 179   6   29     1  1.966060775  0.5362428184 1  1.722045860
#> 180   6   30     1  3.166240817 -1.1512213349 1  3.055582569
#> 181   7    1     1           NA  0.1056761941 1  3.022104185
#> 182   7    2     1  2.310169272  0.6365696740 1  2.055910950
#> 183   7    3     1  2.916657787 -0.4411632169 1  2.967003529
#> 184   7    4     1  2.845259297 -0.1331509643 1  2.800330659
#> 185   7    5     1  0.895694923 -0.1056713340 0  0.788323885
#> 186   7    6     1  2.112995179  0.3781677722 1  2.396762471
#> 187   7    7     1  3.023550384 -0.0929410185 1  3.098144938
#> 188   7    8     1  2.497278846  0.7409000113 1  2.668812770
#> 189   7    9     1  3.431176602 -0.1318027930 1  3.393338137
#> 190   7   10     1  1.241754548  0.5329892868 0  1.093863440
#> 191   7   11     1  3.498597485 -0.4531978300 1  3.421389098
#> 192   7   12     1  2.073650429  0.2055612084 0  2.053310858
#> 193   7   13     1  2.454194303  0.8344015678 1  2.108926160
#> 194   7   14     1  1.771048572  1.2765786815 1  1.739126254
#> 195   7   15     1  1.618017581 -0.1941524093 0  1.851509719
#> 196   7   16     1  5.899528471 -1.8602275742 1  5.822541133
#> 197   7   17     1  0.844862801  1.4456622411 0  0.465610117
#> 198   7   18     1  3.245741512 -1.8484727753 0  3.539276284
#> 199   7   19     1  3.544021281  0.2275427286 1  3.881829904
#> 200   7   20     1  5.316111626 -1.0891451909 1  5.067313416
#> 201   7   21     1  4.149012128 -0.0701942243 1  3.807179482
#> 202   7   22     1  2.928998754  0.3488349702 1  2.635644332
#> 203   7   23     1  5.507628999 -2.1741246492 1  5.332999549
#> 204   7   24     1  2.858229161  0.4260204867 1  2.915745587
#> 205   7   25     1  1.564210168 -0.6791122705 0  1.211932662
#> 206   7   26     1  1.193605481  1.3052615363 1  1.365926521
#> 207   7   27     1  1.934916766  0.5084847916 1  1.974232311
#> 208   7   28     1  0.356599921 -0.0768658984 0 -0.001635648
#> 209   7   29     1  2.504050245 -0.2758904748 1  2.352680629
#> 210   7   30     1  2.737313150  0.9147522410 1  2.680799332
#> 211   8    1     1           NA -0.6407060083 1 -0.428615845
#> 212   8    2     1  2.041059782 -0.4837806257 1  2.011674191
#> 213   8    3     1  1.010422446 -0.7230659699 0  1.096189866
#> 214   8    4     1  1.746837590 -1.7565273956 0  1.519444885
#> 215   8    5     1  3.557702193 -1.2586486281 1  3.745340843
#> 216   8    6     1  3.851178881 -0.9454088311 1  3.345610826
#> 217   8    7     1  0.502566378  0.4302846964 0  0.684066387
#> 218   8    8     1  0.762821640  1.7242622392 1  0.750975243
#> 219   8    9     1  2.297814076  0.3100169866 1  2.394660844
#> 220   8   10     1  2.608061103  0.5867353391 1  2.481019325
#> 221   8   11     1  4.230865178 -0.6754822916 1  4.208841294
#> 222   8   12     1  4.773980519 -0.1553453471 1  4.703960196
#> 223   8   13     1  5.314090304 -0.2873407998 1  5.417760935
#> 224   8   14     1  3.402972921 -0.2249612710 0  3.637277813
#> 225   8   15     1  2.250345803  1.2145887945 1  2.413492795
#> 226   8   16     1 -0.231796256  1.1310546518 0 -0.581707387
#> 227   8   17     1  4.824085495 -1.9251452518 1  4.797526268
#> 228   8   18     1  4.584223033 -1.6711270586 0  4.538173643
#> 229   8   19     1  3.791680718 -1.2619004629 0  3.527386042
#> 230   8   20     1  2.966689752  0.4577869579 1  2.623029058
#> 231   8   21     1  3.677414008 -0.4536463741 1  3.713207248
#> 232   8   22     1  2.201832293  0.7616395076 1  2.227958566
#> 233   8   23     1  4.384970954 -1.4879261874 1  4.253492117
#> 234   8   24     1  1.246124251  1.4330075108 1  1.243802590
#> 235   8   25     1  4.075016149 -1.7029648351 1  4.268532761
#> 236   8   26     1  2.000327273  0.8760961096 1  2.172244960
#> 237   8   27     1  0.363558266 -0.1163584399 0  0.424825880
#> 238   8   28     1  1.568637130  0.6873641133 1  1.653377917
#> 239   8   29     1 -0.243004663  0.6823152451 0 -0.204850369
#> 240   8   30     1  2.567501966  0.2380714916 1  2.112486402
#> 241   9    1     1           NA -0.8497043460 1  1.145681218
#> 242   9    2     1  1.999130305  0.5168620443 1  2.060451984
#> 243   9    3     1  3.426093330 -1.2362731189 1  3.611234909
#> 244   9    4     1  2.981762667 -0.3887798641 1  3.104076490
#> 245   9    5     1  1.064791090  1.6844357081 1  0.940592347
#> 246   9    6     1  1.450001326  0.8569230109 1  1.580796088
#> 247   9    7     1  0.012919810  0.5353988409 0 -0.002035771
#> 248   9    8     1  2.275384475  0.0651539326 1  2.594268388
#> 249   9    9     1  4.081612229 -1.0396803527 1  4.121756260
#> 250   9   10     1  4.126228239 -0.3017466639 1  3.899953027
#> 251   9   11     1  5.531436245 -1.2229261794 1  5.915908246
#> 252   9   12     1  4.679814242  0.5682886208 1  4.433565492
#> 253   9   13     1  4.193303876  0.3732414342 1  4.147687449
#> 254   9   14     1  4.899991390 -0.3218925862 1  4.969679632
#> 255   9   15     1  5.816963623 -0.9215160429 1  6.092338705
#> 256   9   16     1  3.619952292 -0.5272342572 0  3.489168459
#> 257   9   17     1  3.147299330  0.4127694972 1  3.195334402
#> 258   9   18     1  3.686735723 -0.0775389668 1  3.835236782
#> 259   9   19     1  3.400645285  0.2855895802 1  3.322878015
#> 260   9   20     1  3.583117031 -0.0711267337 1  3.614633925
#> 261   9   21     1 -0.605085551  1.5753077068 0 -0.320646125
#> 262   9   22     1  3.695141943 -1.2887162354 1  3.634863633
#> 263   9   23     1  4.316297845 -1.1619375576 1  4.398863271
#> 264   9   24     1  2.970213594 -0.0076368704 1  2.877896868
#> 265   9   25     1 -0.712996002  1.2651684352 0 -0.642107011
#> 266   9   26     1  1.410723953  0.4637961416 1  1.542273722
#> 267   9   27     1  1.470003264  0.9255460985 1  1.349542380
#> 268   9   28     1 -0.021355448  0.1716315069 0  0.070331551
#> 269   9   29     1  2.227210975 -0.1172907147 1  2.294627288
#> 270   9   30     1  2.844766455 -0.2390677595 1  2.631366744
#> 271  10    1     1           NA -1.0241287906 1 -0.243098210
#> 272  10    2     1  1.883180802  0.3689645274 1  1.845338526
#> 273  10    3     1  3.400082096 -1.2847157223 1  3.415391240
#> 274  10    4     1  2.520409430  0.0892072231 1  2.671626886
#> 275  10    5     1 -0.281169818  0.9113912918 0 -0.186934534
#> 276  10    6     1  0.651750369 -0.4610383389 0  0.529066321
#> 277  10    7     1  0.962364495 -0.5552783513 0  0.655498983
#> 278  10    8     1  1.326223681  1.1250027458 1  1.248016943
#> 279  10    9     1  2.866971947 -0.1843088688 1  3.226234221
#> 280  10   10     1  3.384833611  0.0795019953 1  3.622796787
#> 281  10   11     1  2.121492684  1.5466091542 1  1.914785204
#> 282  10   12     1 -0.040520604  1.0106779645 0  0.150112460
#> 283  10   13     1  1.883778298  0.4032903312 1  1.829617664
#> 284  10   14     1 -0.850992275  1.4878378319 0 -0.887358328
#> 285  10   15     1  1.693401978 -1.2084427204 0  1.765303631
#> 286  10   16     1  0.676459117  1.6659909000 1  0.713818111
#> 287  10   17     1  0.290644889  1.5933699514 1  0.277424068
#> 288  10   18     1  3.167030903 -0.5810673806 1  3.547790179
#> 289  10   19     1  1.295111179  1.7492473631 1  1.052654357
#> 290  10   20     1  0.270038292  1.7791026669 1  0.380044556
#> 291  10   21     1  4.927936414 -2.0054578182 1  4.868335599
#> 292  10   22     1  1.567006743  1.4824027185 1  1.899864315
#> 293  10   23     1  4.394755123 -1.5890896941 1  4.186120484
#> 294  10   24     1 -0.409914740  1.1256676052 0 -0.423094959
#> 295  10   25     1  1.450027966  0.3603572379 1  1.716701519
#> 296  10   26     1  1.827914906  0.4771142454 1  1.800642044
#> 297  10   27     1  1.679555032  0.6482297737 1  1.564769319
#> 298  10   28     1  2.557118730 -0.8301085743 1  2.341021040
#> 299  10   29     1  0.296470458 -0.3446758639 0  0.205609773
#> 300  10   30     1  2.600993371  0.0692353265 1  2.473965339
#> 301  11    1     1           NA  0.1176465971 1 -0.478543238
#> 302  11    2     1  2.183561222 -0.2153805076 1  1.845366106
#> 303  11    3     1  3.007367380 -0.5739734793 1  2.727937010
#> 304  11    4     1  0.035993303  0.8450130041 0  0.198378009
#> 305  11    5     1  2.155876780  0.2374302725 1  2.233113146
#> 306  11    6     1  0.218966813  2.4167733538 1  0.351792428
#> 307  11    7     1  0.548993377  1.7795029098 1  0.465082022
#> 308  11    8     1 -1.319142303  1.9754190540 0 -1.104607879
#> 309  11    9     1  1.346012659  0.9672672602 1  1.298585289
#> 310  11   10     1  2.019151958  0.9612641518 1  1.966557917
#> 311  11   11     1  3.081399579 -1.4152819198 0  3.582249207
#> 312  11   12     1  5.128911453 -0.5179824302 1  5.366516935
#> 313  11   13     1  4.995351699 -1.0416732943 0  5.263842597
#> 314  11   14     1  5.630832887 -1.6679280458 0  5.711074986
#> 315  11   15     1  4.796995910 -1.2289861776 0  4.771647033
#> 316  11   16     1  6.099380070 -1.1392006400 1  6.050091377
#> 317  11   17     1  3.608266463 -0.4140158630 0  3.461478853
#> 318  11   18     1  3.806605279  0.0547365251 1  3.850571492
#> 319  11   19     1  4.204074975 -0.1640900041 1  3.962837714
#> 320  11   20     1  1.249193279  0.5351379605 0  1.097999232
#> 321  11   21     1  3.618742267 -0.6431947916 1  3.662140687
#> 322  11   22     1  0.888900612  0.3851548237 0  1.171066353
#> 323  11   23     1  1.964988365  0.4195830393 1  1.870576721
#> 324  11   24     1  1.532695986  0.8830023110 1  1.178325128
#> 325  11   25     1  3.048803775 -0.5836394406 1  2.937608154
#> 326  11   26     1  3.167527587 -0.4914053002 1  3.062103470
#> 327  11   27     1  0.702223626 -0.1502093742 0  0.419404059
#> 328  11   28     1  2.371716143 -0.2901591198 1  2.432464613
#> 329  11   29     1  2.220962281  0.1116204982 1  2.227757210
#> 330  11   30     1  2.636509618  1.3259083426 1  2.885934394
#> 331  12    1     1           NA -0.9474746142 1 -0.710417122
#> 332  12    2     1  2.008911481  0.0652930335 1  1.877130021
#> 333  12    3     1  1.864829521  0.6179858172 1  1.759789006
#> 334  12    4     1  1.633228354  0.9625279685 1  2.007909574
#> 335  12    5     1  1.412390812  1.2181086103 1  1.569199613
#> 336  12    6     1  4.297029368 -1.6510488957 1  4.501533363
#> 337  12    7     1  0.980057107  0.2864244196 0  0.781702796
#> 338  12    8     1  2.891904195 -0.2814821150 1  3.055072341
#> 339  12    9     1  3.418353832 -0.1082800912 1  2.966020532
#> 340  12   10     1  2.966744652 -1.4564659171 0  2.671380225
#> 341  12   11     1  3.231537328  0.3183902604 1  3.092213141
#> 342  12   12     1  4.451196995 -0.2940953272 1  4.284924656
#> 343  12   13     1  7.298545647 -1.7283045153 1  7.095562643
#> 344  12   14     1  6.557340846 -0.4368299769 1  6.566440836
#> 345  12   15     1  2.289368912  0.7422970242 0  2.598539978
#> 346  12   16     1  3.281597880  0.1436232347 1  3.476017315
#> 347  12   17     1  4.118403827 -0.2121505321 1  3.779509451
#> 348  12   18     1  6.823867795 -2.1112083733 1  6.937739948
#> 349  12   19     1  5.313644273 -0.1629267107 1  5.242251503
#> 350  12   20     1  2.808662828 -0.3719448752 0  2.698440156
#> 351  12   21     1  5.055062133 -1.4368434437 1  4.979191840
#> 352  12   22     1 -0.076394527  1.3416402950 0 -0.242383956
#> 353  12   23     1  1.289969207 -0.9929283498 0  1.219076741
#> 354  12   24     1  1.589656825  0.6120834609 1  1.624147700
#> 355  12   25     1  4.550840122 -1.9940787873 1  4.294265260
#> 356  12   26     1  4.069558485 -1.3193853133 1  3.937380702
#> 357  12   27     1 -0.162633273  1.0403770193 0 -0.142081642
#> 358  12   28     1  2.871457028 -1.3191257242 1  2.749138011
#> 359  12   29     1  2.329278702 -0.2834053150 1  2.349048730
#> 360  12   30     1  3.048565857 -0.6981666346 1  2.931330481
#> 361  13    1     1           NA -0.4905574437 1 -0.211244628
#> 362  13    2     1  2.145672398 -0.0340672537 1  1.964347649
#> 363  13    3     1 -0.432309653  1.1098481389 0 -0.384748019
#> 364  13    4     1  1.593422308  0.6843094294 1  1.386224740
#> 365  13    5     1  3.771086801 -1.3387742872 1  3.621573592
#> 366  13    6     1  3.479627845 -0.4639872430 1  3.771304119
#> 367  13    7     1  3.051607305  0.1263158585 1  2.855508307
#> 368  13    8     1  4.510126128 -1.3229511128 1  4.239562380
#> 369  13    9     1  4.388978392 -0.6984206676 1  4.270753061
#> 370  13   10     1  4.824549168 -0.7817397115 1  4.642428416
#> 371  13   11     1  3.615469566  0.8464362856 1  3.587746197
#> 372  13   12     1  1.880244211  0.3978422088 0  1.745698465
#> 373  13   13     1  2.559877320  0.6418300277 1  2.870533862
#> 374  13   14     1  3.315241408  0.4574620794 1  3.593126593
#> 375  13   15     1  2.244735014 -0.0829199423 0  2.048333565
#> 376  13   16     1  2.923567283 -1.0995509417 0  3.010070006
#> 377  13   17     1  3.757881779 -0.0365372222 1  3.634684524
#> 378  13   18     1  4.032110344 -1.4986982545 0  3.855345251
#> 379  13   19     1  2.082282457  1.3985720063 1  1.932605725
#> 380  13   20     1  4.491575317 -1.0255422485 1  3.935054380
#> 381  13   21     1  1.863434431  1.3953134389 1  1.816196897
#> 382  13   22     1  4.024164329 -0.9571704712 1  4.029602296
#> 383  13   23     1  5.814006988 -2.1645470853 1  5.733825052
#> 384  13   24     1  2.946266198  0.4147007068 1  2.711618747
#> 385  13   25     1 -1.268917280  1.9022097714 0 -1.352296430
#> 386  13   26     1  0.684836736  1.2954257908 1  0.571076697
#> 387  13   27     1  1.964768032  0.2925586849 1  2.114426736
#> 388  13   28     1  2.872981100 -0.9670319027 1  2.896752984
#> 389  13   29     1  0.618690260 -0.5910171645 0  0.545245811
#> 390  13   30     1  3.026986146 -0.7494084445 1  2.930446699
#> 391  14    1     1           NA -0.2560921922 1  1.641784471
#> 392  14    2     1  1.782205836  2.1284518990 1  1.766273151
#> 393  14    3     1  1.686222154  0.7075883538 1  1.666752499
#> 394  14    4     1  3.502502525 -1.3952743498 1  3.769974415
#> 395  14    5     1  2.118923409  0.6608202978 1  2.196038201
#> 396  14    6     1  1.703924093  0.8253798628 1  1.472755020
#> 397  14    7     1  1.148177508  1.2722667795 1  0.982327760
#> 398  14    8     1  0.848444083 -0.2393515671 0  0.993337541
#> 399  14    9     1  2.913982117 -0.2759451684 1  3.110890711
#> 400  14   10     1  1.168392460  0.3204023143 0  0.973104533
#> 401  14   11     1  2.520431916  0.1781901884 1  2.170241162
#> 402  14   12     1  4.233154579 -0.5502237415 1  4.453769005
#> 403  14   13     1  7.011836223 -1.5293105312 1  6.712950111
#> 404  14   14     1  6.055667783 -1.6177737654 0  6.145593274
#> 405  14   15     1  3.925959634  0.7898179218 1  4.232926926
#> 406  14   16     1  2.802762910  0.9035164264 1  2.572192862
#> 407  14   17     1  2.841323265  0.3650187514 1  3.194480550
#> 408  14   18     1  3.140078927 -1.1014834389 0  3.199120265
#> 409  14   19     1  0.363314670  0.8983962407 0  0.286807054
#> 410  14   20     1  1.167473989 -0.5824016746 0  1.332989954
#> 411  14   21     1  0.948761120 -0.1907034326 0  1.126239265
#> 412  14   22     1  0.279080782  0.1667812884 0  0.417321336
#> 413  14   23     1  2.895357772 -0.6375687651 1  3.323694884
#> 414  14   24     1  3.044421066 -0.2798823971 1  3.376918940
#> 415  14   25     1 -0.912275580  3.3903708213 1 -0.849651674
#> 416  14   26     1  1.110535899 -1.4202194917 0  1.265949757
#> 417  14   27     1 -0.344049485  0.6687513994 0 -0.046682017
#> 418  14   28     1  0.092024938 -0.1446110701 0 -0.101025883
#> 419  14   29     1  2.349330169 -0.3159369312 1  2.342796362
#> 420  14   30     1  0.980539754 -0.6196150527 0  0.980781509
#> 421  15    1     1           NA  1.8438620052 0  0.301846721
#> 422  15    2     1  0.092225224 -0.7413360963 0  0.495252865
#> 423  15    3     1  0.351665062 -0.3636572971 0  0.081746629
#> 424  15    4     1  1.291823722  0.8496430456 1  1.067041408
#> 425  15    5     1  2.724373298 -0.5229123763 1  2.712106652
#> 426  15    6     1  2.049732821  0.5101325469 1  2.243000103
#> 427  15    7     1  1.454671583 -0.7184662213 0  1.438761680
#> 428  15    8     1  0.851552052 -0.2140412400 0  0.674679057
#> 429  15    9     1 -0.528203679  1.1146485454 0 -0.547628510
#> 430  15   10     1  2.467422361 -0.4447819783 1  2.742100485
#> 431  15   11     1  4.506267553 -0.8752554775 1  4.499200885
#> 432  15   12     1  2.542137526  0.0912673835 0  2.775975748
#> 433  15   13     1  3.800869690  0.0016836885 1  4.103435953
#> 434  15   14     1  1.956552155  0.2796278624 0  1.630500930
#> 435  15   15     1  3.382118617 -0.2677064216 1  3.589473495
#> 436  15   16     1  1.641061012  1.4837794887 1  1.791492550
#> 437  15   17     1  2.014355655  0.6651598757 1  1.941862547
#> 438  15   18     1  1.628483428  0.9860582211 1  1.804358312
#> 439  15   19     1  5.112146918 -1.6484948184 1  5.111800381
#> 440  15   20     1  3.624644308  0.3428883929 1  3.508261291
#> 441  15   21     1  3.975127847 -0.5246711995 1  3.904585504
#> 442  15   22     1  3.267033127 -0.1000139589 1  3.362658354
#> 443  15   23     1  3.222940436 -0.3906352515 1  2.975793986
#> 444  15   24     1  2.685290541 -0.1090375092 1  2.571090473
#> 445  15   25     1  2.243251432  0.2074804074 1  2.791354140
#> 446  15   26     1  3.273391621 -0.9388959197 1  3.524172544
#> 447  15   27     1  2.789163949 -0.5941776416 1  3.144103270
#> 448  15   28     1  1.252482342 -1.7981325564 0  1.403434919
#> 449  15   29     1  0.083387428 -0.0081521523 0  0.220362779
#> 450  15   30     1  2.978331413 -1.5849912682 1  2.852695037
#> 451  16    1     1           NA -0.6519499017 1  0.487329123
#> 452  16    2     1  2.477941372 -1.0959962671 1  2.357684577
#> 453  16    3     1  2.623415513  0.0597499374 1  2.646066711
#> 454  16    4     1  3.143298133 -0.4465572164 1  2.999906565
#> 455  16    5     1  2.249765600  0.6837455219 1  2.376575775
#> 456  16    6     1  3.503189867 -0.5894810385 1  3.598665235
#> 457  16    7     1  3.757279215 -0.4503386239 1  4.047490557
#> 458  16    8     1  3.404035544  0.1516805045 1  3.552219136
#> 459  16    9     1  3.128094030  0.5500439612 1  3.337472839
#> 460  16   10     1  2.442969509  1.3700039940 1  2.901271922
#> 461  16   11     1  0.831117169  0.9411658067 0  0.893628678
#> 462  16   12     1  5.762955440 -1.9617075989 1  5.642701283
#> 463  16   13     1  3.311635419  0.2502478213 0  3.339448062
#> 464  16   14     1  1.567467039  1.8778640211 1  1.521178197
#> 465  16   15     1  2.171498871 -0.5918921022 0  2.375538626
#> 466  16   16     1 -1.136723050  1.9507210064 0 -1.095355089
#> 467  16   17     1 -1.721134594  1.3178208837 0 -1.853402656
#> 468  16   18     1  1.353808044 -1.0984900071 0  1.282890679
#> 469  16   19     1  2.738652918  0.2285569733 1  2.716720231
#> 470  16   20     1  4.131802769 -0.4509346471 1  4.217960493
#> 471  16   21     1 -0.257761137  3.1840444741 1 -0.392473088
#> 472  16   22     1  1.336110148  0.7685074319 1  1.344661764
#> 473  16   23     1  1.544769158  0.8567854738 1  1.463797299
#> 474  16   24     1  2.285805112  0.2293954957 1  1.806331832
#> 475  16   25     1 -0.236293644  0.8498066475 0 -0.014859892
#> 476  16   26     1  1.655977575  0.6289649925 1  1.565840376
#> 477  16   27     1  1.264050011  1.5804318370 1  1.405650328
#> 478  16   28     1  3.389373938 -1.6885424746 1  3.335212109
#> 479  16   29     1  0.250549594  0.2074951407 0 -0.007513032
#> 480  16   30     1  0.732707837  0.8196281375 0  0.764720098
#> 481  17    1     1           NA  0.2353865723 0  0.838735792
#> 482  17    2     1  0.222667333  0.0377883992 0  0.191608243
#> 483  17    3     1  2.774326872 -0.7045964637 1  2.836624491
#> 484  17    4     1  0.555174403  0.1748027002 0  0.653172813
#> 485  17    5     1  0.478657166 -0.0608219547 0  0.306873124
#> 486  17    6     1  1.472527569 -0.9967807422 0  1.705717923
#> 487  17    7     1 -1.871770059  2.3974524800 0 -2.193663792
#> 488  17    8     1  0.236093932  1.7123049773 1  0.121438359
#> 489  17    9     1  1.380369212  1.2366758001 1  1.596277213
#> 490  17   10     1  0.392315602  0.6732538634 0  0.180485342
#> 491  17   11     1  0.327616922  0.1705880818 0  0.353068387
#> 492  17   12     1  4.187843873 -1.1198997214 1  3.984045736
#> 493  17   13     1  3.814926957  0.5638673903 1  3.722570306
#> 494  17   14     1  4.369368009 -0.0040606534 1  4.025459778
#> 495  17   15     1  4.770480362 -0.3683525751 1  4.721923734
#> 496  17   16     1  3.289227112  0.7976006576 1  3.231237734
#> 497  17   17     1  3.905204473 -0.0954875904 1  3.857280417
#> 498  17   18     1  5.092991192 -0.7995139536 1  5.463013161
#> 499  17   19     1  2.349668970  1.6535472347 1  2.514261858
#> 500  17   20     1  2.648386757  0.5142301202 1  2.888844778
#> 501  17   21     1  3.371781442 -0.0500372679 1  3.463829304
#> 502  17   22     1  3.963441807 -0.5758595679 1  3.676885378
#> 503  17   23     1  4.391889429 -1.1037521360 1  4.640561008
#> 504  17   24     1  3.096767875  0.0488888907 1  3.102241922
#> 505  17   25     1  1.484678569  1.2245603121 1  1.294413427
#> 506  17   26     1  3.487064407 -1.2621945494 1  3.525196361
#> 507  17   27     1  2.568165958 -0.0039889443 1  2.516307109
#> 508  17   28     1  1.570376664  1.1025651994 1  1.379699687
#> 509  17   29     1 -0.596085431  1.5324236216 0 -0.575068235
#> 510  17   30     1  0.720806025  0.1923696467 0  0.978592497
#> 511  18    1     1           NA  0.0779608496 1  2.071741513
#> 512  18    2     1  1.922727560  0.3104807494 1  1.857768347
#> 513  18    3     1  2.757110347 -0.7172181616 1  2.728081877
#> 514  18    4     1  2.267725689  0.0745511772 1  2.138159274
#> 515  18    5     1 -0.256403934  0.6329607130 0  0.089484971
#> 516  18    6     1 -0.092604504  0.1444757047 0 -0.102025046
#> 517  18    7     1  2.022244428  0.0111291872 1  2.008031701
#> 518  18    8     1  0.991093062 -0.3261438925 0  0.976781721
#> 519  18    9     1  2.334627798  0.1390978572 1  2.489165776
#> 520  18   10     1  1.001814273  0.0721667524 0  0.985810670
#> 521  18   11     1  3.799209610 -1.0634979064 1  3.961389858
#> 522  18   12     1  6.062559008 -1.3277554756 1  6.212309452
#> 523  18   13     1  5.210208465  0.1894262375 1  5.260302609
#> 524  18   14     1  5.184849765 -0.2784540250 1  4.837006811
#> 525  18   15     1  6.883730358 -1.8526168242 1  6.980944689
#> 526  18   16     1  2.426876196  1.8432662546 1  2.432770913
#> 527  18   17     1  0.874835915  0.1962780455 0  1.045285564
#> 528  18   18     1  2.412333999  0.0798738187 1  2.431079292
#> 529  18   19     1  1.148704013  1.4152763499 1  1.137069591
#> 530  18   20     1  2.937657661 -0.3343380522 1  2.921649866
#> 531  18   21     1  3.573669658 -0.4437493119 1  3.720244429
#> 532  18   22     1  2.995913445 -0.0100976720 1  3.137863821
#> 533  18   23     1  1.146607233  1.1612892557 1  1.044611601
#> 534  18   24     1  0.894065142  0.9432244684 1  0.549582742
#> 535  18   25     1  2.656974501 -0.7018044335 1  2.493005577
#> 536  18   26     1  2.758576857 -0.5518704133 1  2.322867854
#> 537  18   27     1  1.454110152  0.8478427689 1  1.430312510
#> 538  18   28     1  2.237851398 -0.5766189242 1  2.290170663
#> 539  18   29     1  2.700059304 -1.3579978310 1  2.710422679
#> 540  18   30     1  0.609400283  0.2071719742 0  0.686783445
#> 541  19    1     1           NA -0.9618566341 1  0.775618842
#> 542  19    2     1  0.068022317  0.4365234789 0 -0.135926899
#> 543  19    3     1 -0.717170537  0.8846504990 0 -0.678071348
#> 544  19    4     1  1.645091433  0.4281667650 1  1.786451002
#> 545  19    5     1  1.237515848  1.3355176151 1  1.448957290
#> 546  19    6     1  0.545658394 -0.0143074132 0  0.856978333
#> 547  19    7     1  0.671584066  1.6335684214 1  0.728988578
#> 548  19    8     1  2.185809362  0.3730046558 1  2.148104617
#> 549  19    9     1  2.643017818  0.4102750965 1  2.720378428
#> 550  19   10     1  2.895167814 -1.5077573175 0  2.998676399
#> 551  19   11     1  3.388753668 -1.3880490476 0  3.403829026
#> 552  19   12     1  3.384873110 -0.8536236967 0  3.068515873
#> 553  19   13     1  3.197594441 -0.7328538063 0  3.437243572
#> 554  19   14     1  3.446404437  0.4749117140 1  3.559906566
#> 555  19   15     1  5.607635646 -1.1696152604 1  5.864572177
#> 556  19   16     1  3.041715082  1.2464239087 1  3.030252780
#> 557  19   17     1 -1.921994948  2.4879978772 0 -1.562994549
#> 558  19   18     1  0.176592169 -0.3227463618 0  0.289248540
#> 559  19   19     1  1.867651643  0.4199516038 1  1.752528650
#> 560  19   20     1  3.097647541 -0.1055599088 1  3.337717122
#> 561  19   21     1  2.977396098  0.2998652501 1  3.237240592
#> 562  19   22     1  5.342572059 -1.7786591487 1  4.768469828
#> 563  19   23     1  2.715006578  0.3983627156 1  2.830445800
#> 564  19   24     1  2.779122766 -0.1093171232 1  2.662006792
#> 565  19   25     1  1.023857586 -0.3511962296 0  1.168046018
#> 566  19   26     1  3.304719077 -1.1827995068 1  3.402614460
#> 567  19   27     1  0.569552300 -0.1001165259 0  0.665776861
#> 568  19   28     1  3.224586393 -1.8516917296 1  3.256093902
#> 569  19   29     1  2.234126972 -0.1996190506 1  2.274342063
#> 570  19   30     1  2.844988622 -0.0433473543 1  3.005001569
#> 571  20    1     1           NA -0.0713080861 1 -1.427111353
#> 572  20    2     1  2.089852154 -0.4583653327 1  2.078818744
#> 573  20    3     1  3.374135816 -1.0155925786 1  3.540753332
#> 574  20    4     1  2.762154666  0.0246749828 1  2.425098742
#> 575  20    5     1  2.653456048  0.0072900903 1  2.526145178
#> 576  20    6     1  2.698100936 -1.7902812373 0  2.584246143
#> 577  20    7     1  4.496616740 -1.4385066449 1  4.694977468
#> 578  20    8     1  3.802909699 -0.2276840649 1  3.502254970
#> 579  20    9     1  4.021353167 -0.5584569123 1  3.741714412
#> 580  20   10     1  3.795831239  0.0261002253 1  4.207689549
#> 581  20   11     1  1.928569847  2.0867174345 1  1.392179171
#> 582  20   12     1  4.152344238 -0.6933045279 1  3.839355500
#> 583  20   13     1  3.115776954  0.9863658599 1  3.364322556
#> 584  20   14     1  4.600481582 -0.2790721708 1  4.593655939
#> 585  20   15     1  4.555254332 -1.4420346464 0  4.606931184
#> 586  20   16     1  4.552373825 -0.1318749118 1  4.425437545
#> 587  20   17     1  3.641984987  0.4310989281 1  4.043984795
#> 588  20   18     1  3.858412656  0.1464171787 1  4.011484064
#> 589  20   19     1  1.057187130  0.7212208071 0  0.687971627
#> 590  20   20     1  1.646348634 -0.7305096728 0  1.520897801
#> 591  20   21     1  4.897803381 -1.5684246208 1  5.021885784
#> 592  20   22     1  4.645587756 -0.7776214429 1  4.661008193
#> 593  20   23     1  2.818891105  0.3623521576 1  3.145323555
#> 594  20   24     1  2.891336600 -0.0703769216 1  2.918932641
#> 595  20   25     1  2.643187269 -1.7271210366 0  2.895925331
#> 596  20   26     1  2.095169321  0.6206635577 1  1.798757799
#> 597  20   27     1  0.562721710 -0.2796299070 0  0.423089873
#> 598  20   28     1  0.236188979 -0.1128632394 0  0.074750868
#> 599  20   29     1 -0.036579187  0.6315231278 0 -0.045826471
#> 600  20   30     1  2.899698949 -0.5101604414 1  2.575135379
#> 601  21    1     1           NA  1.4445508584 1 -1.033511335
#> 602  21    2     1  2.014179784 -1.0633261340 1  1.839926355
#> 603  21    3     1  0.545400642  1.9552939655 1  0.697085271
#> 604  21    4     1  3.501001860 -1.6674750976 1  3.464059881
#> 605  21    5     1  1.672250207  1.0175586370 1  1.900393453
#> 606  21    6     1  2.420778409  0.0345510671 1  2.391162601
#> 607  21    7     1  2.880240326 -0.1905168020 1  2.834442444
#> 608  21    8     1  2.914975641  0.0204507085 1  3.281776717
#> 609  21    9     1  2.660767513  0.6053706689 1  2.613047265
#> 610  21   10     1  3.516618899 -0.3164158682 1  3.064417782
#> 611  21   11     1  2.468865739 -0.6785031454 0  2.280400552
#> 612  21   12     1  2.944486644  0.3823051425 1  3.108845356
#> 613  21   13     1  1.421788142  1.7386337669 1  1.161799968
#> 614  21   14     1 -0.218497061  0.8134003741 0 -0.412397737
#> 615  21   15     1 -1.312003276  1.0543222720 0 -1.092725731
#> 616  21   16     1  1.138203015  0.4770372383 1  1.038553694
#> 617  21   17     1  2.395372528  0.1887531093 1  2.668876836
#> 618  21   18     1  0.106516109  2.3050619820 1  0.228653878
#> 619  21   19     1  1.925769889 -1.1969352122 0  1.601446992
#> 620  21   20     1  0.271282127  1.9050435849 1  0.267503222
#> 621  21   21     1  1.617942469  0.4903026427 1  1.739358429
#> 622  21   22     1  2.397578925  0.1250338837 1  2.719464033
#> 623  21   23     1  3.647036877 -0.8525256703 1  3.308128541
#> 624  21   24     1  1.246545970 -0.4843190876 0  1.614715702
#> 625  21   25     1  3.049681496 -0.7365782323 1  2.822076034
#> 626  21   26     1  2.035124163  0.4463130166 1  2.277056586
#> 627  21   27     1  1.609854548  0.7844382453 1  1.626236349
#> 628  21   28     1  1.173551650  1.3210692672 1  0.972270670
#> 629  21   29     1  1.044969469  1.7620209034 1  0.982384827
#> 630  21   30     1  2.842415015 -0.8234186138 1  2.823185238
#> 631  22    1     1           NA  0.4515040531 1 -1.589455114
#> 632  22    2     1  1.693311929  1.2631851761 1  2.169889755
#> 633  22    3     1  0.510805165 -0.0903195940 0  0.364448913
#> 634  22    4     1  1.536862354  0.7364959648 1  1.518702329
#> 635  22    5     1  1.549118385 -1.1884340351 0  1.543213354
#> 636  22    6     1  2.288931944  0.1902303157 1  2.330951514
#> 637  22    7     1  0.370682646  0.3784239036 0  0.214545310
#> 638  22    8     1  2.102572853  0.3140576635 1  2.336179797
#> 639  22    9     1  3.535502891 -0.5063335422 1  3.613208396
#> 640  22   10     1  3.768028542 -0.1023465135 1  3.669688308
#> 641  22   11     1  6.194525249 -1.8555716539 1  6.243507144
#> 642  22   12     1  4.314325405  0.9821130025 1  3.997678131
#> 643  22   13     1  3.245206501  0.8811788089 1  3.968787218
#> 644  22   14     1  3.048291991  0.9044354644 1  2.849453739
#> 645  22   15     1  4.475029452 -0.5973300914 1  4.664853728
#> 646  22   16     1  5.653059466 -0.9719942115 1  5.832991891
#> 647  22   17     1  6.645810682 -1.3422431253 1  6.717373992
#> 648  22   18     1  6.597304838 -1.1246036713 1  6.751046025
#> 649  22   19     1  4.564386028  0.3001315669 1  4.200470556
#> 650  22   20     1  3.404367658  0.3326217315 1  3.170713453
#> 651  22   21     1  1.447762456 -0.0961632011 0  1.228321206
#> 652  22   22     1  3.408235211 -0.7063214924 1  3.659235998
#> 653  22   23     1 -1.461480601  1.9536678799 0 -1.615113922
#> 654  22   24     1 -0.202588653 -0.1383363285 0 -0.324142940
#> 655  22   25     1  1.250152723  0.6224097829 1  1.062395747
#> 656  22   26     1  1.809322634  0.4218846933 1  2.077425782
#> 657  22   27     1  3.419506252 -1.5846166446 1  3.267022396
#> 658  22   28     1  1.785044283  0.6622542969 1  1.684616706
#> 659  22   29     1  1.893957180  0.4260143626 1  1.723119524
#> 660  22   30     1  2.558380036  0.8518564033 1  2.627716754
#> 661  23    1     1           NA  0.0412329220 0 -2.848546770
#> 662  23    2     1  1.763997997 -0.3496503880 1  1.752247321
#> 663  23    3     1  0.084175376  0.2145388266 0  0.030778331
#> 664  23    4     1  1.685580953  0.3860265683 1  1.569217149
#> 665  23    5     1  3.001494694 -0.7216044404 1  3.155400971
#> 666  23    6     1  2.497471707  0.1747263970 1  2.334110005
#> 667  23    7     1  2.335349182  0.3000385452 1  2.286853436
#> 668  23    8     1  1.471357525  1.3282146960 1  1.609885731
#> 669  23    9     1  2.136313029 -1.4205655047 0  2.292098354
#> 670  23   10     1  4.266672518 -1.1815592271 1  4.042707627
#> 671  23   11     1  1.511125197  0.5332593628 0  1.626751603
#> 672  23   12     1  4.126365209 -0.7273835291 1  3.907422263
#> 673  23   13     1  5.309533717 -1.9436509013 0  5.690122802
#> 674  23   14     1  5.100447460  0.0026916612 1  5.064607780
#> 675  23   15     1  3.397591292  0.7894598528 1  3.521373659
#> 676  23   16     1  3.982856418 -0.1852021694 1  3.822115703
#> 677  23   17     1  1.843422233  0.0028560476 0  2.239998415
#> 678  23   18     1  3.553857157 -0.3054696399 1  3.494428782
#> 679  23   19     1  4.867132011 -0.9544489352 1  4.772802607
#> 680  23   20     1  3.662620937  0.2306336405 1  3.755576775
#> 681  23   21     1  2.782479900  0.4685251225 1  2.858249268
#> 682  23   22     1  2.924524825 -0.0435694858 1  2.429124269
#> 683  23   23     1  2.734068013 -0.1642708321 1  2.516964763
#> 684  23   24     1  2.547521640 -0.0687656423 1  2.744999957
#> 685  23   25     1  0.866194098 -0.2907159892 0  1.172511965
#> 686  23   26     1  1.723658225  0.4424647721 1  1.322015459
#> 687  23   27     1  1.708050549  0.4783661478 1  1.596271245
#> 688  23   28     1 -0.235450437  0.4413831984 0 -0.235353355
#> 689  23   29     1  2.115967672 -0.0137534165 1  1.903526389
#> 690  23   30     1  3.061976329 -1.4261846729 1  2.818656165
#> 691  24    1     1           NA -0.4224968323 0  1.290733928
#> 692  24    2     1  2.205492154 -0.8655128627 1  2.288057725
#> 693  24    3     1  3.006782899 -0.7385277047 1  2.728620081
#> 694  24    4     1  2.707396174 -0.2656516253 1  2.309790411
#> 695  24    5     1  1.069821659  1.5192177114 1  1.154582069
#> 696  24    6     1  1.518200734 -1.0550170426 0  1.497020300
#> 697  24    7     1  3.630457425 -1.0056362595 1  3.515922684
#> 698  24    8     1  3.012191611  0.1213183775 1  3.038357804
#> 699  24    9     1  3.081780718  0.1279929657 1  3.003768684
#> 700  24   10     1  2.889236743  0.4986580438 1  2.845931149
#> 701  24   11     1  3.213204106  0.3102302561 1  3.398532306
#> 702  24   12     1  3.500745528 -0.9968389824 0  3.456560799
#> 703  24   13     1  2.143662517  1.3995761854 1  2.097335116
#> 704  24   14     1  5.147012605 -1.1766921577 1  4.761824719
#> 705  24   15     1  2.280728826  1.5164906017 1  2.507725624
#> 706  24   16     1 -0.351439418  1.2209637083 0 -0.464594392
#> 707  24   17     1  2.405180764 -0.2213261532 1  2.491027635
#> 708  24   18     1  3.982357544 -0.5167594497 1  4.025599212
#> 709  24   19     1  4.446156565 -0.4580180681 1  4.285798855
#> 710  24   20     1  4.085627489 -1.6918624149 0  4.434420533
#> 711  24   21     1  4.918228184 -0.9823706359 1  4.909855924
#> 712  24   22     1  4.058752692 -0.4679259739 1  4.262650618
#> 713  24   23     1  5.259736144 -1.8248975842 1  5.456776809
#> 714  24   24     1  5.903094415 -2.3137357739 1  5.733950647
#> 715  24   25     1  1.491110813 -0.2142115342 0  1.798772857
#> 716  24   26     1  1.775706683  0.5572457464 1  1.988073597
#> 717  24   27     1  1.897357899  0.3935663730 1  1.767085810
#> 718  24   28     1 -0.657272476  1.1837459123 0 -0.904679485
#> 719  24   29     1  2.339493574 -0.3075569096 1  2.496395032
#> 720  24   30     1  2.658421488  0.4402989420 1  2.655353903
#> 721  25    1     1           NA -2.0532472215 0 -0.493723874
#> 722  25    2     1  1.982368486 -0.2362795689 1  1.972207329
#> 723  25    3     1  2.826556446 -0.5743886898 1  2.683492245
#> 724  25    4     1  2.397679866  0.1181445110 1  2.424548819
#> 725  25    5     1  2.164696218  0.3773879730 1  2.246276361
#> 726  25    6     1  2.071778548  0.4761332783 1  2.314355110
#> 727  25    7     1  0.725305252  0.0192592746 0  0.935924813
#> 728  25    8     1  1.830428910  0.7128423200 1  1.994553941
#> 729  25    9     1  1.094975799  1.9458512177 1  0.955075416
#> 730  25   10     1  3.682002939 -1.0389564403 1  3.627609079
#> 731  25   11     1  5.549150136 -1.3538343357 1  5.562391321
#> 732  25   12     1  6.691193696 -1.0416888590 1  6.681169923
#> 733  25   13     1  5.990514300 -0.0560559462 1  6.019693915
#> 734  25   14     1  7.242425705 -1.3182207275 1  7.407475906
#> 735  25   15     1  5.837424515 -0.1917748091 1  5.894224875
#> 736  25   16     1  3.988717552  0.5412841435 1  3.833058431
#> 737  25   17     1  1.919335536 -0.0110458298 0  1.855671286
#> 738  25   18     1  0.931699751  1.5123954268 1  0.992149868
#> 739  25   19     1  1.395190996  0.9356036838 1  1.215189372
#> 740  25   20     1  1.828867856  0.6597918995 1  2.172369343
#> 741  25   21     1  2.289712638 -1.0229838421 0  2.267650415
#> 742  25   22     1  1.988538747  0.6069301362 1  1.943605073
#> 743  25   23     1  2.717437214 -0.2038564714 1  2.542782506
#> 744  25   24     1  4.130810891 -1.3648316972 1  4.517056230
#> 745  25   25     1  3.092016058 -0.1125595515 1  3.098932042
#> 746  25   26     1  1.972569071  0.6393564920 1  1.866720611
#> 747  25   27     1  2.203739353 -2.6953293691 0  2.404285404
#> 748  25   28     1  2.594798370 -0.7715014411 1  2.648557046
#> 749  25   29     1  1.835887256  0.4143081641 1  1.396355236
#> 750  25   30     1  2.919390498 -0.7926116508 1  3.237294967
#> 751  26    1     1           NA  1.1313372134 0  0.394970678
#> 752  26    2     1  1.956771133 -0.1971758943 1  2.328691773
#> 753  26    3     1  1.479243954 -1.3170161323 0  1.863774569
#> 754  26    4     1  0.193890206  0.1340386454 0  0.222564336
#> 755  26    5     1  3.991699526 -2.0522228204 1  3.927624317
#> 756  26    6     1 -0.646073242  1.3785701370 0 -0.387357308
#> 757  26    7     1  1.278152849 -1.0774206531 0  0.886974749
#> 758  26    8     1 -0.303186328  0.7788600298 0 -0.205542322
#> 759  26    9     1 -0.502965612  0.8009143396 0 -0.026344046
#> 760  26   10     1  2.420296483 -0.2262219814 1  2.249833490
#> 761  26   11     1  3.540579355 -1.9429564136 0  3.541122353
#> 762  26   12     1  2.706632706 -0.4145887264 0  2.326316097
#> 763  26   13     1  0.806302260  0.5249142793 0  0.605709146
#> 764  26   14     1  3.509969397 -0.5929973657 1  3.508110587
#> 765  26   15     1  3.397129436  0.2838789064 1  3.669138763
#> 766  26   16     1  3.099833348  0.4573573316 1  2.957322624
#> 767  26   17     1  4.243840794 -0.5754176413 1  4.308346790
#> 768  26   18     1  4.999877413 -0.7694849229 1  4.775235103
#> 769  26   19     1  3.614955836 -1.1368931117 0  3.989694594
#> 770  26   20     1  4.989206851 -1.0236235889 1  4.810012868
#> 771  26   21     1  4.593633321 -0.6934146633 1  4.829779633
#> 772  26   22     1  1.887867636  1.1684883087 1  2.009580953
#> 773  26   23     1  4.780377266 -1.9344440707 1  4.862253692
#> 774  26   24     1  3.055911234 -0.0724869100 1  3.048628984
#> 775  26   25     1  4.550786836 -1.8636669825 1  4.230837194
#> 776  26   26     1  4.463665730 -1.9686615567 1  4.382825491
#> 777  26   27     1  2.179235799  0.3683773285 1  2.214127125
#> 778  26   28     1  1.550776407  0.7296891914 1  1.855691607
#> 779  26   29     1  1.436498734  0.9890579202 1  1.355149532
#> 780  26   30     1  2.553688215  0.2823102145 1  2.325596505
#> 781  27    1     1           NA -1.4606400709 0  1.181617853
#> 782  27    2     1  0.062780147  1.1099202897 0  0.166619837
#> 783  27    3     1  2.301042353 -0.1829253884 1  2.630112311
#> 784  27    4     1  2.433649966  0.2210194686 1  2.453704199
#> 785  27    5     1  3.915606613 -1.3640374521 1  3.717866245
#> 786  27    6     1  0.513245676  0.4562364032 0  0.744338903
#> 787  27    7     1  1.731541253  0.7127033252 1  1.643316516
#> 788  27    8     1  1.921608399  0.9147732709 1  2.264268032
#> 789  27    9     1  2.035989374  1.1652533899 1  2.150408103
#> 790  27   10     1  2.838947775  0.3814258295 1  3.215109686
#> 791  27   11     1  4.034639512 -0.1163025172 1  4.046031707
#> 792  27   12     1  4.919119731 -0.2390290682 1  5.059313685
#> 793  27   13     1  4.274852607  0.6220332359 1  4.315941736
#> 794  27   14     1  3.464120040  0.7973805005 1  3.229275631
#> 795  27   15     1  4.384895254 -1.7510675194 0  4.300545102
#> 796  27   16     1  3.723319457 -1.0381310397 0  3.728188422
#> 797  27   17     1  4.939024664 -0.6868156524 1  4.676878493
#> 798  27   18     1  4.417483819 -0.0820869038 1  4.368678078
#> 799  27   19     1  3.758957800  0.2669182509 1  4.135424989
#> 800  27   20     1  3.122368207 -0.8915215744 0  3.278090164
#> 801  27   21     1  2.447602217 -0.7679895731 0  2.520318962
#> 802  27   22     1  4.003021653 -0.8225014128 1  3.560276081
#> 803  27   23     1  3.369373314 -0.3105101158 1  3.297006722
#> 804  27   24     1  3.141101965 -0.2652837749 1  3.006166813
#> 805  27   25     1  1.862894659  0.8376299342 1  1.717286038
#> 806  27   26     1  0.580605580 -0.1488163614 0  0.756732447
#> 807  27   27     1  3.757866106 -2.1684177473 1  3.674816865
#> 808  27   28     1  2.688913244 -0.5870856158 1  2.821315186
#> 809  27   29     1  0.341902581 -0.1838583105 0  0.392670333
#> 810  27   30     1  2.971996857 -0.7406905222 1  3.047715983
#> 811  28    1     1           NA  0.7399475109 1 -0.511832695
#> 812  28    2     1  1.997129178  0.0847372922 1  1.948308650
#> 813  28    3     1  0.059763876  0.4189824049 0 -0.056381200
#> 814  28    4     1  0.744065414  1.6408461660 1  0.631243908
#> 815  28    5     1  2.493211989 -0.2007810156 1  2.193350462
#> 816  28    6     1  3.835874599 -1.1355884704 1  3.865102067
#> 817  28    7     1 -0.055229186  1.0847750899 0 -0.353033224
#> 818  28    8     1  0.933121831 -0.5743945522 0  1.134002163
#> 819  28    9     1  2.413346360  0.3588557231 1  2.249697583
#> 820  28   10     1  2.007173675 -0.7835157890 0  2.037355664
#> 821  28   11     1  1.947355970  1.1393962917 1  1.944446168
#> 822  28   12     1  0.787238177  0.4836175338 0  0.550520573
#> 823  28   13     1  2.919638117 -0.0966860732 1  2.992064284
#> 824  28   14     1  6.802785860 -1.9582051747 1  6.597224703
#> 825  28   15     1  4.468245624 -0.8186697775 0  4.684353192
#> 826  28   16     1  5.173328096 -0.6045132303 1  5.164484542
#> 827  28   17     1  5.513866023 -0.7207736318 1  5.119595773
#> 828  28   18     1  1.364485486  0.7871336143 0  1.219254080
#> 829  28   19     1  2.232380978  0.4283320395 1  2.810342695
#> 830  28   20     1  0.180547037  0.9183411710 0  0.018980898
#> 831  28   21     1  0.614058089  1.2990499667 1  0.594912616
#> 832  28   22     1  2.758509564 -0.3070365586 1  2.774142724
#> 833  28   23     1  3.254762795 -0.4222270032 1  3.255420001
#> 834  28   24     1  2.203611253 -1.2008693282 0  2.299501428
#> 835  28   25     1  4.087991982 -1.4434928889 1  4.343949626
#> 836  28   26     1  2.759506175  0.1124638126 1  2.896172065
#> 837  28   27     1  1.913761061  0.6598043769 1  1.656336311
#> 838  28   28     1  2.130491071  0.0007641864 1  2.022090205
#> 839  28   29     1  0.100522028  0.1637614068 0 -0.171835105
#> 840  28   30     1  2.817229174 -0.5233416827 1  2.587321687
#> 841  29    1     1           NA  1.9091035692 1 -0.134967649
#> 842  29    2     1  1.880917446  0.7540537852 1  1.542097396
#> 843  29    3     1  0.032383565  0.3243043442 0 -0.255160874
#> 844  29    4     1  2.223363309 -0.2190503789 1  2.330109561
#> 845  29    5     1  1.725848525  0.8657794043 1  1.541033414
#> 846  29    6     1  2.942835667 -0.4356454697 1  2.991987081
#> 847  29    7     1  5.330406180 -2.2249876965 1  5.060665189
#> 848  29    8     1  1.896133760  1.6268812142 1  1.734716060
#> 849  29    9     1  3.454136907 -0.6085571783 1  3.549257547
#> 850  29   10     1  3.053371119  0.5829914057 1  3.447564928
#> 851  29   11     1  1.192465935  0.6361240352 0  1.390822100
#> 852  29   12     1  1.559007344 -0.3213248422 0  1.413953137
#> 853  29   13     1  3.299787101 -0.0752631976 1  3.173296245
#> 854  29   14     1  4.779005861 -1.8863251587 0  4.791948406
#> 855  29   15     1  4.388903991  0.0562148494 1  4.071681318
#> 856  29   16     1  5.107645897 -0.7646060138 1  4.976238885
#> 857  29   17     1  4.674317084 -0.2145045154 1  4.930982124
#> 858  29   18     1  5.771401837 -1.0585905359 1  5.825409140
#> 859  29   19     1  4.518255434  0.0549119698 1  4.585682912
#> 860  29   20     1  4.575056625 -0.4527006465 1  4.638737044
#> 861  29   21     1 -0.258049924  1.5791455618 0 -0.353685999
#> 862  29   22     1  0.242425210  1.4397612584 1  0.009730542
#> 863  29   23     1  1.186809488  0.6818296904 1  1.223436608
#> 864  29   24     1  2.626461165 -1.9915381760 0  2.403580910
#> 865  29   25     1  2.747871394 -0.2085701624 1  3.076412482
#> 866  29   26     1  1.919832122  0.7246762026 1  1.684265838
#> 867  29   27     1  0.558492569 -0.4539137334 0  0.516022025
#> 868  29   28     1  0.629941052  2.2144653193 1  0.565471688
#> 869  29   29     1  2.039450326  0.2169363441 1  1.979448586
#> 870  29   30     1  2.333003641  1.7693659170 1  2.375152709
#> 871  30    1     1           NA -1.4438931610 0  0.350256180
#> 872  30    2     1  0.308574092 -0.4992920172 0  0.101164906
#> 873  30    3     1  2.863755873 -0.7815364871 1  2.639033037
#> 874  30    4     1  2.532856381  0.1680653839 1  2.729897074
#> 875  30    5     1  2.840458585 -0.1018832557 1  2.986038287
#> 876  30    6     1  2.522295118  0.3461036196 1  2.575374668
#> 877  30    7     1 -0.374003689  1.2356934623 0 -0.407634197
#> 878  30    8     1  2.807640884 -0.3809567393 1  2.819425320
#> 879  30    9     1  1.566384991 -0.2022408551 0  1.523513479
#> 880  30   10     1  4.352780873 -1.3165104017 1  4.525451388
#> 881  30   11     1  5.143033590 -0.4929374242 1  5.054046684
#> 882  30   12     1  8.027585083 -2.0784892689 1  8.056385538
#> 883  30   13     1  3.340004459  1.0191570693 0  3.474502479
#> 884  30   14     1  5.240308111 -0.6537798248 1  5.190767282
#> 885  30   15     1  4.375687223  0.2990869033 1  4.532267589
#> 886  30   16     1  3.816798164  0.3952958700 1  3.813537991
#> 887  30   17     1  0.124204143  1.3681326480 0  0.012395472
#> 888  30   18     1  0.168593138  1.6551758157 1  0.274649495
#> 889  30   19     1  0.107220356  1.8221888218 1  0.124594295
#> 890  30   20     1  4.785329161 -1.7483722800 1  4.884735753
#> 891  30   21     1  2.228842425 -0.1568919530 0  2.344152065
#> 892  30   22     1  5.755846350 -2.1989232542 1  5.764130141
#> 893  30   23     1  2.324886645  1.0094961857 1  2.450743560
#> 894  30   24     1  3.104132602 -0.3543692199 1  3.119743190
#> 895  30   25     1  3.311187892 -0.4385634621 1  3.293552022
#> 896  30   26     1  3.847470714 -1.1874860760 1  3.902174195
#> 897  30   27     1  3.167393869 -0.6949368252 1  3.042991243
#> 898  30   28     1  1.725254543  0.9694343957 1  1.665469149
#> 899  30   29     1 -0.100424383  0.7292776342 0  0.023791802
#> 900  30   30     1  2.642774706  0.6682826189 1  2.474355151
#> 901  31    1     1           NA  0.7017843354 1  0.225879222
#> 902  31    2     1  2.072319056  0.2144453096 1  1.916633719
#> 903  31    3     1  1.142402141 -0.7886219709 0  1.547678151
#> 904  31    4     1  1.440364255  1.1683838731 1  0.935070364
#> 905  31    5     1  1.812398082  0.6241874720 1  1.768719524
#> 906  31    6     1  3.282913801 -0.6470456313 1  3.107977733
#> 907  31    7     1  2.382807038 -1.2410444968 0  2.800663597
#> 908  31    8     1  3.198461804 -0.1057841676 1  3.119752318
#> 909  31    9     1  1.639233093 -0.2732481068 0  1.739744951
#> 910  31   10     1  5.842105423 -2.8097746790 1  5.604058189
#> 911  31   11     1  4.003067161 -0.8341882316 0  4.001727980
#> 912  31   12     1  2.702067966 -0.0914342756 0  2.826840780
#> 913  31   13     1  0.986785301  0.7116019225 0  1.251233498
#> 914  31   14     1  2.567391174  0.3943948480 1  2.531244927
#> 915  31   15     1  2.667280804 -0.7593981173 0  2.408047260
#> 916  31   16     1  4.816556294 -0.9905076305 1  4.609879820
#> 917  31   17     1  2.794672290  1.0490866266 1  2.707329037
#> 918  31   18     1  2.542149693  0.6757624155 1  2.591388145
#> 919  31   19     1  4.757575601 -1.0223473286 1  4.606799621
#> 920  31   20     1  1.727645033  1.7699041099 1  1.584354972
#> 921  31   21     1  1.343441256 -0.3589365606 0  1.066099209
#> 922  31   22     1  2.941756795 -0.3198377917 1  2.849215866
#> 923  31   23     1  3.685960307 -0.7261049649 1  3.321132455
#> 924  31   24     1  0.073766800  0.6534957657 0  0.031310836
#> 925  31   25     1  2.301056789 -0.2185938169 1  2.160794106
#> 926  31   26     1  2.925737224 -0.4996001898 1  2.837995016
#> 927  31   27     1  2.433960351 -0.0068463032 1  2.439678643
#> 928  31   28     1  1.735501750  0.7680077137 1  1.897904115
#> 929  31   29     1  1.559061116  1.1113804070 1  1.212107658
#> 930  31   30     1  3.357647132 -2.1448970243 1  3.327707419
#> 931  32    1     1           NA -0.2621974894 1 -0.774315250
#> 932  32    2     1  1.958317449 -0.3246859115 1  2.250990083
#> 933  32    3     1  2.796351649 -0.5021987183 1  2.862537957
#> 934  32    4     1  1.630569880  1.0541810234 1  1.866054448
#> 935  32    5     1  1.523040230  0.9590053778 1  1.320106432
#> 936  32    6     1  4.681842836 -2.1576463350 1  4.936616098
#> 937  32    7     1  2.744080089  0.4547692690 1  3.183445013
#> 938  32    8     1  1.639005086  1.4040502677 1  1.597487187
#> 939  32    9     1  3.238876643 -0.4686997798 1  3.290852338
#> 940  32   10     1  3.030473318  0.4649679908 1  2.924764727
#> 941  32   11     1  3.297598154  0.2710667568 1  3.375022340
#> 942  32   12     1  2.462324376  1.1871868107 1  2.489455264
#> 943  32   13     1  2.244372312  0.9902622460 1  1.863077810
#> 944  32   14     1  4.651759894 -0.9135660482 1  4.706770173
#> 945  32   15     1 -1.346859761  2.6848589992 0 -1.369731216
#> 946  32   16     1 -1.020327089  0.5620413901 0 -0.895462912
#> 947  32   17     1  2.428137998 -0.3599751179 1  2.428332091
#> 948  32   18     1  4.730402883 -1.0742066095 1  4.638538394
#> 949  32   19     1  3.264620494  0.6061302614 1  3.094502473
#> 950  32   20     1  6.516092579 -2.3774069254 1  6.860650772
#> 951  32   21     1  4.858111963 -0.3290388304 1  4.935762399
#> 952  32   22     1 -1.114247071  2.0647042841 0 -1.124670209
#> 953  32   23     1  0.714920482  0.8061088684 1  0.572483135
#> 954  32   24     1 -2.000892478  1.7732386319 0 -1.844184207
#> 955  32   25     1 -0.043851467  1.4599659447 1  0.013236477
#> 956  32   26     1  2.904789856 -1.0736429908 1  3.227923177
#> 957  32   27     1 -0.614476133  1.3730520450 0 -0.572091424
#> 958  32   28     1  0.637883751 -1.1083279118 0  0.719179910
#> 959  32   29     1  1.953923339  0.2791608169 1  1.844656499
#> 960  32   30     1  0.731654743  0.1264124161 0  0.457236522
#> 961  33    1     1           NA -1.5721441591 1  0.730815610
#> 962  33    2     1  2.193853803  0.0945835282 1  2.156409382
#> 963  33    3     1 -0.739824488  1.4960606698 0 -1.012958192
#> 964  33    4     1  1.100324010  1.1452631104 1  0.718494812
#> 965  33    5     1  0.870417947  1.6710548289 1  1.267905783
#> 966  33    6     1 -0.328508655  0.8842508200 0 -0.546925839
#> 967  33    7     1 -0.408652899  0.6599026381 0 -0.580678594
#> 968  33    8     1  1.057408861  1.2940839061 1  1.013614954
#> 969  33    9     1  2.155214702  0.7041672839 1  2.138866090
#> 970  33   10     1  0.448598289  0.8405398270 0  0.443547806
#> 971  33   11     1  0.488636785  0.1573533472 0  0.165443273
#> 972  33   12     1  0.942428406  1.1916012685 1  0.861850353
#> 973  33   13     1 -0.474320098  2.3829266952 1 -0.539679518
#> 974  33   14     1  1.055412944  0.8867490371 1  1.096938549
#> 975  33   15     1  3.654617884 -0.4583901391 1  3.335845992
#> 976  33   16     1  5.439694789 -1.1164164119 1  5.657237959
#> 977  33   17     1  7.196205836 -1.6859164545 1  7.142639539
#> 978  33   18     1  4.714619621  0.4545778091 1  4.691056849
#> 979  33   19     1  2.434842579 -0.0889305675 0  2.297103969
#> 980  33   20     1  2.513037659  0.5728115299 1  2.631797739
#> 981  33   21     1  3.156263456  0.0692364779 1  3.475345465
#> 982  33   22     1 -1.493272992  2.1935900691 0 -1.349316782
#> 983  33   23     1  0.082070069  1.4243231097 1  0.116477028
#> 984  33   24     1  2.177300456 -0.0384567937 1  2.018936783
#> 985  33   25     1  1.235035696 -0.5820599179 0  1.203603480
#> 986  33   26     1  1.393302833  1.0572402127 1  1.094781129
#> 987  33   27     1  2.715219801 -0.6353230772 1  2.893716628
#> 988  33   28     1  2.802895683 -0.7862359200 1  2.575455719
#> 989  33   29     1  0.324295984 -0.0761706715 0  0.657281106
#> 990  33   30     1  0.986853031 -0.4518129363 0  0.900299606
#> 991  34    1     1           NA -1.5146676538 1  0.545635528
#> 992  34    2     1  2.318500646 -0.8953633580 1  2.217106953
#> 993  34    3     1  3.507924086 -1.1373036207 1  3.751334774
#> 994  34    4     1  3.302692277 -0.5774680011 1  3.216412005
#> 995  34    5     1  2.733591346  0.0560167333 1  2.872600028
#> 996  34    6     1  3.711618929 -0.8294776116 1  3.590957875
#> 997  34    7     1  1.381988090 -0.1998898281 0  1.297682778
#> 998  34    8     1  3.887032825 -1.0899918724 1  4.181710220
#> 999  34    9     1  2.851403686 -1.1973635024 0  2.781511015
#> 1000 34   10     1  3.755581070 -0.2858454236 1  3.641232016
#> 1001 34   11     1  3.377053180  0.6297117467 1  3.200852695
#> 1002 34   12     1  5.244249140 -0.7889632181 1  5.601350542
#> 1003 34   13     1  4.513608752  0.6644158637 1  4.601050949
#> 1004 34   14     1  4.297685446  0.3333699702 1  4.596488105
#> 1005 34   15     1  4.413417369  0.0642435566 1  4.386887499
#> 1006 34   16     1 -0.266336286  1.8285304581 0 -0.561405287
#> 1007 34   17     1  3.423032564 -0.8445834285 1  3.675179663
#> 1008 34   18     1  2.244079051 -0.2133071432 0  1.906693552
#> 1009 34   19     1  1.543224899 -0.2608322438 0  1.822836411
#> 1010 34   20     1  1.731674633  1.0172492491 1  1.749611420
#> 1011 34   21     1  0.849133174  0.0969042337 0  0.931491498
#> 1012 34   22     1  0.377212802  0.1565953234 0  0.421396065
#> 1013 34   23     1  1.249482393 -0.7841440048 0  1.549654212
#> 1014 34   24     1  0.685941181  1.4931848406 1  0.537902230
#> 1015 34   25     1  1.097936390 -0.7830975957 0  0.883821973
#> 1016 34   26     1  1.111046672  1.2790725832 1  1.313973884
#> 1017 34   27     1  1.848860832  0.5581032939 1  1.917680299
#> 1018 34   28     1  0.793981831  2.2841164803 1  0.599186770
#> 1019 34   29     1 -0.490399483  1.3946631322 0 -0.643667236
#> 1020 34   30     1  3.024558436 -1.1366261878 1  3.245585421
#> 1021 35    1     1           NA -1.6015361736 0 -0.288449296
#> 1022 35    2     1  0.355345604 -1.3108015333 0  0.520033920
#> 1023 35    3     1  2.380115228 -0.1790515944 1  2.161148748
#> 1024 35    4     1  0.891655362  2.0024827303 1  0.614558671
#> 1025 35    5     1  2.436229696 -0.0519819062 1  2.841911547
#> 1026 35    6     1  3.437606331 -0.5735602708 1  3.652983216
#> 1027 35    7     1  3.853119006 -0.6451139569 1  3.853690025
#> 1028 35    8     1  4.265501191 -0.8730710004 1  3.813704935
#> 1029 35    9     1  0.808086189  0.8663661321 0  0.817677292
#> 1030 35   10     1  0.278505687  0.5041262546 0  0.298513138
#> 1031 35   11     1  3.019126804 -0.3957979503 1  3.064489834
#> 1032 35   12     1  6.214451441 -1.5477765436 1  6.319469444
#> 1033 35   13     1  5.564489705  0.2073811574 1  5.449623847
#> 1034 35   14     1  5.442198385 -0.1706396182 1  5.648709096
#> 1035 35   15     1  4.048522150  0.6497918672 1  3.986807522
#> 1036 35   16     1  3.466698487  0.4605913495 1  3.223453374
#> 1037 35   17     1  4.425213212 -0.4577605332 1  4.397525786
#> 1038 35   18     1  1.810811623  0.3132287720 0  1.194643495
#> 1039 35   19     1  2.258373850  0.4640912339 1  2.439691715
#> 1040 35   20     1  2.170533974 -0.6309678667 0  2.280141749
#> 1041 35   21     1  2.738914253  0.2900343878 1  2.541684790
#> 1042 35   22     1  4.081722383 -0.8636089506 1  4.070171355
#> 1043 35   23     1  3.934982401 -0.6524043665 1  3.760827239
#> 1044 35   24     1  2.858836814  0.0830221576 1  2.873171188
#> 1045 35   25     1  4.382553720 -1.5196539949 1  4.506676320
#> 1046 35   26     1  2.263978016  0.7876767254 1  2.529181897
#> 1047 35   27     1  2.180480605  0.3411578684 1  2.182555233
#> 1048 35   28     1  2.934288242 -1.0933007640 1  3.029357525
#> 1049 35   29     1  2.120871187  0.1645341176 1  1.951911036
#> 1050 35   30     1  2.850989702  0.2097858904 1  2.765903278
#> 1051 36    1     1           NA -0.5309065222 1 -1.222380911
#> 1052 36    2     1  1.730051247  1.9972133847 1  1.874842110
#> 1053 36    3     1  0.817995386  1.9023618217 1  0.812395979
#> 1054 36    4     1  2.294524974  0.0667008709 1  2.131324661
#> 1055 36    5     1  4.258997448 -1.7532373591 1  4.519136843
#> 1056 36    6     1  1.542015102  1.5039006090 1  1.343902608
#> 1057 36    7     1  0.524300125  0.1653210212 0  0.642541171
#> 1058 36    8     1  2.052474917 -1.3580790594 0  1.907708844
#> 1059 36    9     1  2.250634180  0.8641524862 1  2.095975625
#> 1060 36   10     1  2.416216232 -1.1559165251 0  2.502540252
#> 1061 36   11     1  2.541365744  0.8993540532 1  2.583314051
#> 1062 36   12     1 -1.486507995  2.4580604919 0 -1.464995728
#> 1063 36   13     1  5.080686285 -2.2106331106 1  5.025094898
#> 1064 36   14     1  3.802699553  0.8188281365 1  3.586100090
#> 1065 36   15     1  4.117022114 -0.0260186348 1  4.280175845
#> 1066 36   16     1  5.237434690 -0.7010036123 1  5.737613138
#> 1067 36   17     1  2.699159284  0.1036380042 0  2.594629069
#> 1068 36   18     1  3.613508956 -0.0899751970 1  4.006316299
#> 1069 36   19     1  5.372106730 -1.0204005907 1  5.556206448
#> 1070 36   20     1  3.885146704  0.4442870514 1  3.912480485
#> 1071 36   21     1  2.657201806 -0.7466789410 0  2.396564974
#> 1072 36   22     1  0.780335784  0.1654574195 0  0.843642042
#> 1073 36   23     1  1.559652416  0.6507783632 1  1.450357663
#> 1074 36   24     1  2.298125200  0.1155321043 1  2.422866868
#> 1075 36   25     1  1.560005309 -0.8056980816 0  1.767702010
#> 1076 36   26     1  3.559841004 -1.2224033826 1  3.010094280
#> 1077 36   27     1  3.377299507 -1.1795186291 1  3.794109016
#> 1078 36   28     1  2.224634229  0.2144793753 1  1.967209418
#> 1079 36   29     1  1.343397312  1.5778519788 1  1.156057823
#> 1080 36   30     1  2.831136990  0.1299655160 1  2.758905998
#> 1081 37    1     1           NA -1.4617555850 1  0.633333596
#> 1082 37    2     1  0.106435725  0.6007088237 0 -0.087915593
#> 1083 37    3     1  2.190516348 -0.1009748853 1  2.474779879
#> 1084 37    4     1 -0.925294789  1.8668518447 0 -0.762443949
#> 1085 37    5     1  2.068835906  0.0993275941 1  1.960334136
#> 1086 37    6     1  3.481007189 -0.7741449296 1  3.518772176
#> 1087 37    7     1  2.617450754  0.4388187007 1  2.135799466
#> 1088 37    8     1  0.816549557  0.1818471926 0  0.754335049
#> 1089 37    9     1  3.840089837 -1.1986223591 1  3.691357537
#> 1090 37   10     1  3.920449157 -0.1271486068 1  3.987861425
#> 1091 37   11     1  5.239708612 -0.8308115273 1  5.509128450
#> 1092 37   12     1  3.627197146 -0.1624219425 0  3.704828831
#> 1093 37   13     1 -1.445329054  2.6917140032 0 -1.462506300
#> 1094 37   14     1  1.312273962  0.3883651628 1  1.105741290
#> 1095 37   15     1  3.885730257 -0.6435673870 1  3.807217138
#> 1096 37   16     1  1.720562788  0.2410459325 0  1.772105333
#> 1097 37   17     1  2.140800303 -0.6626072757 0  2.344694487
#> 1098 37   18     1 -0.088047005  1.0705160368 0  0.098012469
#> 1099 37   19     1  4.190365411 -1.3134509165 1  4.235317398
#> 1100 37   20     1  3.375612617  0.4391303884 1  3.400692615
#> 1101 37   21     1  4.561200735 -0.8468963888 1  4.390518775
#> 1102 37   22     1  2.338463726 -0.6527743959 0  2.257076572
#> 1103 37   23     1  0.484906327  0.1830479699 0  0.422624726
#> 1104 37   24     1 -0.178439304  0.3248253133 0  0.109231909
#> 1105 37   25     1  3.365427281 -1.1661847074 1  3.362323618
#> 1106 37   26     1  2.329242526  0.4519521167 1  2.443479443
#> 1107 37   27     1  3.684539992 -1.7410220173 1  3.848532346
#> 1108 37   28     1  1.775539394  0.8925710596 1  1.859483164
#> 1109 37   29     1  0.304289601 -0.0619226576 0  0.192816404
#> 1110 37   30     1  2.859317944 -0.3285065726 1  3.099190213
#> 1111 38    1     1           NA  0.6879167730 0  1.427519656
#> 1112 38    2     1  2.448534837 -1.2512713616 1  2.343075945
#> 1113 38    3     1  3.727283743 -1.3598407038 1  3.624226792
#> 1114 38    4     1  3.930440840 -1.3509026860 1  3.935902780
#> 1115 38    5     1  3.430553188 -0.5718500579 1  3.256981237
#> 1116 38    6     1  2.009395699  0.8457315402 1  1.722707963
#> 1117 38    7     1  1.770526907  0.8833028199 1  1.725735521
#> 1118 38    8     1  2.721547051  0.1648408679 1  2.388517372
#> 1119 38    9     1  2.587994815  0.6394919979 1  2.443151403
#> 1120 38   10     1  5.284164841 -1.9415183760 1  5.171667724
#> 1121 38   11     1  5.223441491 -0.3305447001 1  5.086590319
#> 1122 38   12     1  5.297924811 -0.0974512501 1  5.345038539
#> 1123 38   13     1  6.075503251 -0.4826768218 1  5.885653007
#> 1124 38   14     1  4.088389676 -0.4459350272 0  4.077612990
#> 1125 38   15     1  2.816850748  1.0453056640 1  2.621016136
#> 1126 38   16     1  4.051667855 -0.3524531992 1  4.052029829
#> 1127 38   17     1  1.244397010  2.0066806908 1  1.180873823
#> 1128 38   18     1  2.809318219 -1.3511003857 0  2.853951436
#> 1129 38   19     1  4.201559349 -0.4944808755 1  3.839955982
#> 1130 38   20     1  0.486314133  1.0406231529 0  0.327073473
#> 1131 38   21     1  0.931406886  1.1970776637 1  0.898537031
#> 1132 38   22     1  0.692655512  1.4528172823 1  0.854768081
#> 1133 38   23     1  1.678763455  0.5487749604 1  1.403692741
#> 1134 38   24     1  3.438749984 -0.8705772453 1  3.671210634
#> 1135 38   25     1  2.495947703  0.4079461962 1  2.481221082
#> 1136 38   26     1  1.542595721  1.1504491864 1  1.392567185
#> 1137 38   27     1  3.739722391 -1.9925857712 1  3.648409794
#> 1138 38   28     1 -0.265471810  1.0187579723 0 -0.368474474
#> 1139 38   29     1  1.960337544  0.6139229642 1  1.912354251
#> 1140 38   30     1  2.400861500  1.9727035673 1  2.776344637
#> 1141 39    1     1           NA  2.1001089405 0  1.380517493
#> 1142 39    2     1  2.271310597 -0.6111659167 1  2.346319824
#> 1143 39    3     1  1.085992881 -0.6647694353 0  1.293337231
#> 1144 39    4     1  0.365024725  0.0209835864 0  0.371027524
#> 1145 39    5     1  3.184906737 -0.9740095828 1  2.893168807
#> 1146 39    6     1  4.104275326 -1.2606828788 1  4.178210587
#> 1147 39    7     1  5.441141846 -2.0523369839 1  5.514768911
#> 1148 39    8     1  1.365636444  0.3641146874 0  1.586385000
#> 1149 39    9     1 -1.360333861  2.4302266523 0 -1.393243236
#> 1150 39   10     1 -1.282712376  1.1811808914 0 -1.515913492
#> 1151 39   11     1 -1.198976185  0.7408145237 0 -1.034470519
#> 1152 39   12     1  1.277939587  0.4205741887 1  1.460849259
#> 1153 39   13     1 -0.236250239  2.3747347151 1  0.012746452
#> 1154 39   14     1  0.225622289  0.2311149344 0  0.039725700
#> 1155 39   15     1 -1.764214350  1.6155453232 0 -1.650288932
#> 1156 39   16     1  1.197384278  0.3711479598 1  1.204184675
#> 1157 39   17     1  3.262140054 -0.2722675344 1  3.187901385
#> 1158 39   18     1  4.373297028 -0.5226166972 1  3.897117840
#> 1159 39   19     1  1.533858277  1.7517571498 1  1.542327781
#> 1160 39   20     1  2.263678112  0.4840993880 1  2.390514277
#> 1161 39   21     1  1.826783768 -0.5486273611 0  1.842765790
#> 1162 39   22     1  3.748394059 -0.8064826557 1  3.586070669
#> 1163 39   23     1  1.209612657  1.4046842945 1  0.919980183
#> 1164 39   24     1  0.325656356 -0.0517182129 0  0.412340709
#> 1165 39   25     1  3.054395269 -0.8630042460 1  3.057769749
#> 1166 39   26     1  0.506500904  0.1679409807 0  0.448043839
#> 1167 39   27     1  1.665546314  0.5512742115 1  1.570782797
#> 1168 39   28     1  1.455670291  1.0891120109 1  1.628775145
#> 1169 39   29     1  1.117336264 -1.5460885942 0  0.930108458
#> 1170 39   30     1  1.375800039 -2.2486900668 0  1.642069053
#> 1171 40    1     1           NA -1.2870304760 1  0.872634567
#> 1172 40    2     1  2.322161159 -1.1854800846 1  2.331187363
#> 1173 40    3     1  2.048208930  0.4854599789 1  2.063639466
#> 1174 40    4     1  1.432443192  1.2499145710 1  0.925175719
#> 1175 40    5     1  2.532029112 -0.1799062310 1  2.647081654
#> 1176 40    6     1  1.134969145 -0.3545424031 0  1.208479446
#> 1177 40    7     1  4.362254135 -1.6363792681 1  4.304276450
#> 1178 40    8     1  2.858498939  0.5521577142 1  2.743789709
#> 1179 40    9     1  3.741834896 -0.5572154819 1  3.595297694
#> 1180 40   10     1  1.849716508  1.8599108615 1  1.522332726
#> 1181 40   11     1  1.894834180  0.9899716086 1  1.641533685
#> 1182 40   12     1  5.481742610 -1.6140394566 1  5.439898522
#> 1183 40   13     1  2.822004213  0.3746435680 0  2.937967363
#> 1184 40   14     1  1.010050831  0.6475133580 0  0.506534756
#> 1185 40   15     1  2.710583101 -0.0296939710 1  3.010010078
#> 1186 40   16     1  1.332906253  0.2435327188 0  1.403429430
#> 1187 40   17     1  4.688659037 -1.2139444702 1  4.688749168
#> 1188 40   18     1  2.637457673 -0.2491906778 0  2.674241815
#> 1189 40   19     1  1.354549562  0.0557647746 0  1.261053301
#> 1190 40   20     1  3.119858117 -0.2448837791 1  3.243653924
#> 1191 40   21     1  2.963468707  0.3030456952 1  2.817195774
#> 1192 40   22     1  2.516666120  0.3729115952 1  2.382680719
#> 1193 40   23     1  0.208133443  0.3870831196 0  0.494371248
#> 1194 40   24     1 -0.904130530  0.9084476988 0 -1.435579812
#> 1195 40   25     1  1.385014688  0.3040420350 1  1.398374609
#> 1196 40   26     1  0.846026344 -0.5661093329 0  0.715861050
#> 1197 40   27     1  2.132845701 -0.0347420615 1  2.384552409
#> 1198 40   28     1  2.291986920 -0.1631289899 1  2.468122409
#> 1199 40   29     1  2.227030645 -0.1123919613 1  2.241482886
#> 1200 40   30     1  0.672599334  0.8382193873 0  0.498171021
#> 1201 41    1     1           NA  0.7877388475 1 -0.483135069
#> 1202 41    2     1  1.600055546  2.1988103489 1  1.582592880
#> 1203 41    3     1  2.592101863 -0.3756028717 1  2.442034531
#> 1204 41    4     1  3.059279553 -0.7152421872 1  3.078937533
#> 1205 41    5     1 -0.286132996  1.0149431727 0 -0.032066114
#> 1206 41    6     1  0.297163121 -0.0735560191 0  0.392418736
#> 1207 41    7     1  0.744630375  1.4304023412 1  0.284759931
#> 1208 41    8     1  3.014837610 -0.6018928460 1  2.826765154
#> 1209 41    9     1  2.371859379  0.8449042414 1  2.404949212
#> 1210 41   10     1  2.118861134  1.0740122603 1  2.162816485
#> 1211 41   11     1  5.556621369 -1.9385047015 1  5.304530240
#> 1212 41   12     1  6.131575035 -0.7282191112 1  6.209159068
#> 1213 41   13     1  3.399150141  1.5384301989 1  3.470670905
#> 1214 41   14     1  3.582573813  0.3562833449 1  3.442138805
#> 1215 41   15     1  3.073760003  0.5622673454 1  3.338063660
#> 1216 41   16     1  5.134573860 -1.0141141727 1  5.232285747
#> 1217 41   17     1  4.652362497 -0.1412617573 1  4.439237368
#> 1218 41   18     1  5.462171562 -0.9957987249 1  5.529304524
#> 1219 41   19     1  4.008149948  0.3314343982 1  3.926001949
#> 1220 41   20     1  2.502608351  0.9159920579 1  2.607792261
#> 1221 41   21     1  3.150474215 -0.0569705338 1  3.076005813
#> 1222 41   22     1  2.199955134  0.6198500746 1  2.451503201
#> 1223 41   23     1 -0.669712861  1.0517012702 0 -0.413077367
#> 1224 41   24     1  2.730614314 -0.7497257869 1  2.899979825
#> 1225 41   25     1  2.770678824 -0.1464274878 1  2.688992106
#> 1226 41   26     1  1.494014373 -1.0861182406 0  1.579737781
#> 1227 41   27     1  0.792882099  1.8505717036 1  0.718656001
#> 1228 41   28     1  0.560746753 -0.8209866971 0  0.272285908
#> 1229 41   29     1  0.197712893 -0.0217945400 0  0.310082380
#> 1230 41   30     1  0.761261865 -0.2890232705 0  0.479430513
#> 1231 42    1     1           NA  0.7690422410 1 -0.531346919
#> 1232 42    2     1 -0.147255793  1.3124129764 0  0.062147889
#> 1233 42    3     1  2.569239623 -0.5618763635 1  2.672862760
#> 1234 42    4     1  3.209476511 -0.7526889682 1  3.282183717
#> 1235 42    5     1  4.583194567 -1.9927484887 1  4.397119647
#> 1236 42    6     1  4.274387308 -1.1686514244 1  4.126102345
#> 1237 42    7     1  2.027438488  1.0466288471 1  1.959526462
#> 1238 42    8     1  3.882315712 -0.9936985911 1  3.698923196
#> 1239 42    9     1  2.263183963 -0.7822018456 0  1.919052614
#> 1240 42   10     1  3.117684111 -0.0273469664 1  3.252351104
#> 1241 42   11     1  1.780422730  0.1071904070 0  1.332755917
#> 1242 42   12     1  3.258051574 -1.5404424053 0  3.594173670
#> 1243 42   13     1  4.546619677 -0.1097103212 1  4.411262364
#> 1244 42   14     1  5.596562405 -0.6580102079 1  5.760868987
#> 1245 42   15     1  5.081444475 -0.0974124985 1  4.866657153
#> 1246 42   16     1  3.565659069 -0.7913138788 0  3.460061332
#> 1247 42   17     1  5.241244722 -1.0053775816 1  5.225477887
#> 1248 42   18     1  5.923951235 -1.0399550438 1  5.818535967
#> 1249 42   19     1  4.902095312 -0.1898466377 1  5.289613510
#> 1250 42   20     1  1.275065357  0.8006223565 0  1.379254247
#> 1251 42   21     1  4.002105463 -0.9578493922 1  4.146011232
#> 1252 42   22     1  2.356173029 -0.7575101607 0  2.549584097
#> 1253 42   23     1  1.930454209  0.6229054623 1  1.615322031
#> 1254 42   24     1  2.775966841 -0.3216060699 1  2.874733392
#> 1255 42   25     1  4.226793084 -1.4335621799 1  4.430548364
#> 1256 42   26     1  3.499974066 -0.6653027956 1  3.619720266
#> 1257 42   27     1  2.098158446  0.5736751083 1  2.070565519
#> 1258 42   28     1  2.369772832 -0.3072572330 1  2.546915862
#> 1259 42   29     1  0.639800815 -0.7583454174 0  0.663052448
#> 1260 42   30     1  2.590314422  0.6565134106 1  2.695490298
#> 1261 43    1     1           NA  0.3322025790 1 -0.587684757
#> 1262 43    2     1  1.996867187 -0.2651450567 1  1.905737844
#> 1263 43    3     1  0.665471763 -0.3439172341 0  0.401646703
#> 1264 43    4     1  2.919927237 -0.9385387036 1  3.024391310
#> 1265 43    5     1  3.020775965 -0.4272792872 1  2.709158525
#> 1266 43    6     1  3.345308856 -0.6347482649 1  3.595197334
#> 1267 43    7     1  2.518774863  0.4352889489 1  2.157294483
#> 1268 43    8     1  1.814823971  1.0267850561 1  1.907173144
#> 1269 43    9     1  1.873425849  1.1107114182 1  1.506278500
#> 1270 43   10     1  0.934602008 -0.0333303423 0  0.798629948
#> 1271 43   11     1  1.940319720  0.6087790117 1  2.062074785
#> 1272 43   12     1  4.378513993 -0.6930946140 1  4.204229348
#> 1273 43   13     1  1.912236436  0.5114707547 0  1.528279658
#> 1274 43   14     1  1.936790901  0.8552022051 1  1.877740137
#> 1275 43   15     1 -0.194530907  1.0164552177 0 -0.042726144
#> 1276 43   16     1  1.897163272  0.2995936847 1  1.814778887
#> 1277 43   17     1  2.835837035  0.1561557073 1  2.650653581
#> 1278 43   18     1  3.391525517 -0.0179802406 1  3.523583218
#> 1279 43   19     1  3.038210067  0.4704927320 1  3.150593822
#> 1280 43   20     1  4.669627366 -0.9365690341 1  4.771100577
#> 1281 43   21     1  3.021246511  0.5910619094 1  2.934039629
#> 1282 43   22     1  1.877698878  0.8515246815 1  1.991874639
#> 1283 43   23     1  1.959454482  0.4336203898 1  1.499335888
#> 1284 43   24     1  1.685276585 -1.1477707505 0  1.454364446
#> 1285 43   25     1  3.146928328 -0.7906077857 1  3.109193190
#> 1286 43   26     1  1.923527459  0.7148483559 1  1.968798561
#> 1287 43   27     1  1.594161583  0.8496958911 1  1.760729567
#> 1288 43   28     1  0.687569191 -0.9020980085 0  0.718964812
#> 1289 43   29     1  2.749717012 -1.0358928844 1  2.847289954
#> 1290 43   30     1  0.977608825 -0.4539977006 0  0.858035852
#> 1291 44    1     1           NA -1.0083766083 1 -0.411697869
#> 1292 44    2     1  0.180929502  0.5431940592 0  0.063826419
#> 1293 44    3     1  0.231604065  0.0904966471 0  0.089140543
#> 1294 44    4     1  1.263046364 -1.0525132793 0  1.048845685
#> 1295 44    5     1  2.478435126  0.1166372836 1  2.666394564
#> 1296 44    6     1  2.962498002 -0.0288415529 1  3.305391576
#> 1297 44    7     1  2.416292198  0.7151784071 1  2.439196228
#> 1298 44    8     1  2.425260427  0.7510613026 1  2.797224072
#> 1299 44    9     1  1.233792511  0.2498247199 0  1.553537517
#> 1300 44   10     1  4.661751823 -1.5160676232 1  4.814416950
#> 1301 44   11     1  4.534897355 -1.4508243135 0  4.646040962
#> 1302 44   12     1  4.898626193  0.1188494330 1  5.174614139
#> 1303 44   13     1  3.123165056  0.2139579796 0  2.971407060
#> 1304 44   14     1  2.455144423  1.1529362256 1  2.202240715
#> 1305 44   15     1  5.225721666 -1.1561673943 1  5.072433184
#> 1306 44   16     1  2.384242572  1.6390519088 1  2.306544278
#> 1307 44   17     1  3.192755385  0.2336336141 1  3.529838909
#> 1308 44   18     1  4.173048897 -0.1321751329 1  4.416696339
#> 1309 44   19     1  5.563383405 -0.9516795430 1  5.543852793
#> 1310 44   20     1  6.435326027 -1.4007874340 1  6.493606177
#> 1311 44   21     1  4.387178406  0.1731048735 1  4.470957138
#> 1312 44   22     1  4.594962807 -0.7479299709 1  4.698091051
#> 1313 44   23     1  2.936429819  0.3860844382 1  2.945911776
#> 1314 44   24     1  2.483173975  0.3543521964 1  2.345839108
#> 1315 44   25     1  1.815843571  0.8851124551 1  1.659672519
#> 1316 44   26     1  2.944186465 -0.4316611004 1  2.931362477
#> 1317 44   27     1  1.638117618  1.3343835853 1  1.625903072
#> 1318 44   28     1 -0.015534775  0.6270687431 0 -0.052418644
#> 1319 44   29     1  1.887732801  0.9481593026 1  1.734149194
#> 1320 44   30     1  3.173675434 -0.5938645624 1  3.353354914
#> 1321 45    1     1           NA -0.1194526066 1  0.709185621
#> 1322 45    2     1  2.305500859 -0.4143399479 1  2.420382191
#> 1323 45    3     1  1.215434005  1.5985087711 1  1.239399029
#> 1324 45    4     1  0.856547216 -0.4371595332 0  0.992231284
#> 1325 45    5     1  3.323788619 -0.8932075701 1  3.042495897
#> 1326 45    6     1  2.204621976  0.6706959687 1  2.275330495
#> 1327 45    7     1  1.895998996  0.9171749176 1  1.706442200
#> 1328 45    8     1  4.457347503 -1.5091665373 1  4.468813255
#> 1329 45    9     1  2.268745310  1.6519153916 1  2.294499256
#> 1330 45   10     1  0.587999941  0.7903853439 0  0.973971034
#> 1331 45   11     1  0.389302393  0.4806255999 0  0.300797979
#> 1332 45   12     1  4.550129193 -1.3647094580 1  4.421176290
#> 1333 45   13     1  3.237162506 -0.1861206994 0  3.695244995
#> 1334 45   14     1  4.000404187  0.2762745565 1  4.054363622
#> 1335 45   15     1  1.064673435  2.3208602240 1  1.041456702
#> 1336 45   16     1  1.420054748  1.0846170087 1  1.387692417
#> 1337 45   17     1  0.592159181  0.3555876116 0  0.135683868
#> 1338 45   18     1  4.091005091 -2.5493427748 0  4.056679063
#> 1339 45   19     1  2.511163798  1.1579104666 1  2.114063642
#> 1340 45   20     1  3.021267038  0.1602775400 1  2.797470006
#> 1341 45   21     1  1.515881012  1.3997833562 1  1.571537170
#> 1342 45   22     1  1.968533721  0.6302398297 1  2.269564081
#> 1343 45   23     1  1.150577745  1.2913233045 1  1.222520760
#> 1344 45   24     1  1.919264402  0.4247997824 1  1.591447879
#> 1345 45   25     1 -0.422624241  0.9030760860 0 -0.396824485
#> 1346 45   26     1  1.863861617  0.2276149399 1  1.803232154
#> 1347 45   27     1  2.747159560 -0.5007190980 1  2.685043250
#> 1348 45   28     1 -0.342191956  1.1203550284 0 -0.351281758
#> 1349 45   29     1  1.833100570  0.9141587339 1  1.800882387
#> 1350 45   30     1  3.379485963 -1.7103796664 1  3.255519366
#> 1351 46    1     1           NA -0.2803953352 0  0.256396754
#> 1352 46    2     1  2.209414280 -0.4762468946 1  2.047497882
#> 1353 46    3     1  2.546957408 -0.0885651121 1  2.249153828
#> 1354 46    4     1  2.278199012  0.3311791730 1  1.797767873
#> 1355 46    5     1  0.272175159  0.3339029425 0  0.446798989
#> 1356 46    6     1  4.139023766 -1.6505465434 1  4.116120145
#> 1357 46    7     1  4.179242389 -2.6609227985 0  4.215483498
#> 1358 46    8     1  3.541596422 -0.0951474508 1  3.385208749
#> 1359 46    9     1  4.820168824 -1.4589707285 1  4.516460399
#> 1360 46   10     1  4.302621995 -0.2107341807 1  4.513575996
#> 1361 46   11     1  3.510147870 -0.8281742704 0  3.302043529
#> 1362 46   12     1  3.388240426  0.5899826794 1  3.551906019
#> 1363 46   13     1  4.582598022 -0.1203938246 1  4.370095995
#> 1364 46   14     1  4.445248007  0.1441046625 1  4.275243031
#> 1365 46   15     1  5.192202442 -0.6035312478 1  5.277280957
#> 1366 46   16     1  3.542150619 -0.6245674736 0  3.252238054
#> 1367 46   17     1  6.079381123 -1.6218582591 1  5.987073571
#> 1368 46   18     1  3.394719671  1.0405734557 1  3.598926743
#> 1369 46   19     1  3.027483919  0.5847052602 1  2.807353151
#> 1370 46   20     1  3.780741677 -0.2739623748 1  3.538139850
#> 1371 46   21     1  1.382431321  0.1174595846 0  1.164951666
#> 1372 46   22     1 -0.771658654  1.0966616331 0 -1.187506310
#> 1373 46   23     1  1.111546625 -1.0022598737 0  0.791772540
#> 1374 46   24     1 -0.480104525  0.6483473512 0 -0.744777131
#> 1375 46   25     1 -2.201998097  2.0055732743 0 -2.295669263
#> 1376 46   26     1  0.457642774  1.2949457957 1  0.322335573
#> 1377 46   27     1 -0.240053277  0.5100979282 0 -0.262585395
#> 1378 46   28     1 -1.229334727  2.1272135525 0 -1.176755781
#> 1379 46   29     1  3.069432126 -1.2987319948 1  3.044671789
#> 1380 46   30     1  3.006787381 -0.2094484283 1  2.776714424
#> 1381 47    1     1           NA  0.5629895332 0 -1.856360586
#> 1382 47    2     1  0.020174473 -0.7886028379 0  0.106389520
#> 1383 47    3     1 -0.882556959  1.0807994962 0 -0.970242529
#> 1384 47    4     1  1.629905269 -2.0142104979 0  1.985484775
#> 1385 47    5     1  0.122099683  0.4114299206 0  0.202382509
#> 1386 47    6     1  2.612812874 -0.3497542392 1  2.684726554
#> 1387 47    7     1  1.591700383  1.1102770966 1  1.682642290
#> 1388 47    8     1  3.654224112 -0.8959478228 1  3.505353231
#> 1389 47    9     1  3.422517320 -0.0512978861 1  3.330785688
#> 1390 47   10     1  4.201884016 -0.6567429254 1  4.106334483
#> 1391 47   11     1  3.010047788  1.0202530122 1  3.324366474
#> 1392 47   12     1  3.705187053  0.2893440288 1  3.578136447
#> 1393 47   13     1  2.817953830  1.0128343358 1  3.033948896
#> 1394 47   14     1  4.022660193 -0.0756250808 1  4.149563590
#> 1395 47   15     1  6.230861894 -1.4588494144 1  6.333550168
#> 1396 47   16     1  1.824928063  0.8259229016 0  2.018787467
#> 1397 47   17     1  0.866460811  0.2207112910 0  0.805122756
#> 1398 47   18     1  2.275863401  0.2497257360 1  2.574730250
#> 1399 47   19     1  4.378894755 -0.8064528227 1  4.631404501
#> 1400 47   20     1  5.288808573 -0.9855391126 1  5.185188659
#> 1401 47   21     1  2.391329963 -0.3315457582 0  2.284616499
#> 1402 47   22     1  4.041376134 -0.9884429224 1  4.238215633
#> 1403 47   23     1  2.439631364 -1.1051827292 0  2.692308332
#> 1404 47   24     1  4.017365744 -1.2198100315 1  4.070911338
#> 1405 47   25     1  0.931070520 -0.0035803084 0  0.848498226
#> 1406 47   26     1  1.611876242  0.5783349405 1  1.596951129
#> 1407 47   27     1  1.533623759  0.8687932702 1  1.647806247
#> 1408 47   28     1  1.855654586  0.3661143829 1  2.040229704
#> 1409 47   29     1  1.870406817  0.4243787949 1  1.905038368
#> 1410 47   30     1  2.141351102  2.4787458014 1  2.536588814
#> 1411 48    1     1           NA -0.3724387561 1 -1.860587630
#> 1412 48    2     1  2.012571329 -0.5946172675 1  1.891144083
#> 1413 48    3     1  1.844574881  0.6307541157 1  1.927477400
#> 1414 48    4     1  2.275063957  0.2119804334 1  2.033588129
#> 1415 48    5     1  2.565685979 -0.0330361593 1  2.168190726
#> 1416 48    6     1  1.841781090  0.7564064385 1  1.834719214
#> 1417 48    7     1  1.259974082 -0.4849875966 0  1.146260405
#> 1418 48    8     1  4.774812665 -2.0707510705 1  5.043243077
#> 1419 48    9     1  4.360769154 -0.5269251761 1  4.389257562
#> 1420 48   10     1  3.436848124 -1.4120257927 0  3.460117575
#> 1421 48   11     1  1.364285267  0.5384820321 0  1.514635101
#> 1422 48   12     1  4.441216033 -0.9042150256 1  4.225870266
#> 1423 48   13     1  3.037955991 -0.2014581470 0  2.887106935
#> 1424 48   14     1  0.736026783  2.1614158463 1  1.180290752
#> 1425 48   15     1  3.451811910 -0.3509178272 1  3.404101115
#> 1426 48   16     1  1.907203213 -0.0485683528 0  1.896778204
#> 1427 48   17     1  2.711909585  0.3104500805 1  3.120412371
#> 1428 48   18     1  0.274558035  2.4162073731 1  0.559301148
#> 1429 48   19     1  2.484505982  0.0545532458 1  2.565488407
#> 1430 48   20     1  3.169434694  0.0839306795 1  3.059357337
#> 1431 48   21     1  2.935526321  0.2782949133 1  2.808165232
#> 1432 48   22     1  1.580592392  1.1079950410 1  1.922539667
#> 1433 48   23     1  1.810268742  0.5919460034 1  1.692281599
#> 1434 48   24     1  2.281658137  0.1072350348 1  1.845048822
#> 1435 48   25     1  4.054453978 -1.4958268140 1  3.469631999
#> 1436 48   26     1  1.468814788  1.3646727815 1  1.455974773
#> 1437 48   27     1 -0.763078224  1.3693516880 0 -0.801217467
#> 1438 48   28     1  2.539535933 -0.8747813772 1  2.220614293
#> 1439 48   29     1  0.847349609 -1.1125453200 0  0.828384272
#> 1440 48   30     1  2.508838067  0.9897022081 1  2.512201874
#> 1441 49    1     1           NA  0.9769733867 1 -0.022834094
#> 1442 49    2     1  1.781241466  1.6509074673 1  1.890837374
#> 1443 49    3     1  2.475528670 -0.1136398955 1  2.291823876
#> 1444 49    4     1 -0.501911979  1.2366750464 0 -0.343103513
#> 1445 49    5     1  4.441663778 -2.4658981938 1  4.676090144
#> 1446 49    6     1  1.666482719 -0.5388091600 0  1.865438510
#> 1447 49    7     1  2.429257757  0.2306168306 1  2.344137305
#> 1448 49    8     1  2.791587761  0.1501201312 1  3.027341641
#> 1449 49    9     1  3.466327181 -0.1972648691 1  3.472271901
#> 1450 49   10     1  3.939584394 -0.2997624966 1  3.877525779
#> 1451 49   11     1  3.238919125  0.7690522950 1  3.118880658
#> 1452 49   12     1  1.757676150  0.2263249424 0  2.013905806
#> 1453 49   13     1  4.575803896 -2.0376824944 0  4.584207497
#> 1454 49   14     1  2.321707114  0.2763155321 0  2.114715566
#> 1455 49   15     1  1.174573079  0.1467084841 0  1.290089002
#> 1456 49   16     1  2.491311595  0.3013136517 1  2.487496598
#> 1457 49   17     1  5.412836604 -1.4211084475 1  5.475378564
#> 1458 49   18     1  3.612941401  0.6851982381 1  3.624085039
#> 1459 49   19     1  2.795231982  0.7163316195 1  2.940459805
#> 1460 49   20     1  5.144126183 -1.3199965265 1  5.212145772
#> 1461 49   21     1  5.515333007 -1.1855916490 1  5.459743360
#> 1462 49   22     1  2.352027764 -0.4895328712 0  2.515928090
#> 1463 49   23     1  2.815397323 -0.1196896641 1  2.672165305
#> 1464 49   24     1  1.762918656 -0.9440576916 0  1.515098647
#> 1465 49   25     1  1.217119304 -0.7684170270 0  1.583654432
#> 1466 49   26     1  3.859058246 -1.7015798027 1  3.771079259
#> 1467 49   27     1  1.956746490  0.7626511463 1  2.023128339
#> 1468 49   28     1  1.506684821  1.0244748630 1  1.937714972
#> 1469 49   29     1  2.769858827 -1.0510732262 1  2.891431822
#> 1470 49   30     1  2.450731571  1.6755721558 1  2.689318569
#> 1471 50    1     1           NA -0.3745808578 1  0.149938747
#> 1472 50    2     1  2.086192742 -0.0540281251 1  1.755086924
#> 1473 50    3     1  3.704589389 -1.5329020029 1  4.049610391
#> 1474 50    4     1  1.104855374  2.0375740182 1  1.076061989
#> 1475 50    5     1  0.004043849  2.5714581459 1 -0.044604420
#> 1476 50    6     1  2.018788439  0.2272919217 1  2.044199171
#> 1477 50    7     1  1.097142082 -0.2951578009 0  0.988926553
#> 1478 50    8     1  0.759945417 -0.0792117093 0  0.264026161
#> 1479 50    9     1  1.146885913 -0.6295787427 0  1.136211392
#> 1480 50   10     1  3.642154075 -0.8490611350 1  3.751728788
#> 1481 50   11     1  3.959390917  0.1207193293 1  3.677867529
#> 1482 50   12     1  3.323080564  0.7480811625 1  3.489499606
#> 1483 50   13     1  2.647790578 -0.1958892488 0  2.544599144
#> 1484 50   14     1  2.003667929 -0.1582940287 0  1.816004877
#> 1485 50   15     1  0.958499928  1.6236212077 1  1.004184589
#> 1486 50   16     1  2.449661328  0.2603614907 1  2.617673160
#> 1487 50   17     1  2.088123374  0.9553656397 1  2.219318416
#> 1488 50   18     1  1.909074241 -0.4469593090 0  1.868055357
#> 1489 50   19     1  0.364532267  0.5577309821 0  0.554567864
#> 1490 50   20     1  2.324021433  0.1612263513 1  2.272492856
#> 1491 50   21     1  2.161885132 -0.8358940534 0  2.206942818
#> 1492 50   22     1  2.451190842  0.2943533884 1  2.551791148
#> 1493 50   23     1  0.637207144  0.0740052117 0  0.892844219
#> 1494 50   24     1  2.225949454 -0.0003846487 1  2.208617975
#> 1495 50   25     1  0.129254264  0.4084885048 0 -0.121140002
#> 1496 50   26     1  2.259750602 -0.2806762797 1  2.381388225
#> 1497 50   27     1  0.065913689  0.4211471730 0  0.104957356
#> 1498 50   28     1 -0.485754884  0.9047588937 0 -0.711684545
#> 1499 50   29     1  1.951173826  0.5254124483 1  1.969896757
#> 1500 50   30     1  0.637387013  0.9149653183 0  0.677013200
#> 1501  1    1     2           NA -0.5753469626 0  0.404690656
#> 1502  1    2     2  1.802656329  1.0527114656 1  1.366561787
#> 1503  1    3     2  0.128897040  0.1192452364 0  0.104795746
#> 1504  1    4     2  0.588214418 -0.5211173176 0  0.929566554
#> 1505  1    5     2  1.175054765  1.3011759922 1  0.860590438
#> 1506  1    6     2  2.572284025 -0.2052992575 1  2.116082005
#> 1507  1    7     2  2.121389595  0.4922285701 1  2.297089650
#> 1508  1    8     2  0.079502014  0.8719649541 0 -0.139421359
#> 1509  1    9     2  2.495795620 -0.0973692675 1  2.317530179
#> 1510  1   10     2  2.042193028 -0.8338435805 0  1.937360674
#> 1511  1   11     2  1.707190801 -0.3970305203 0  1.657080795
#> 1512  1   12     2  0.080689461  0.8636484342 0  0.218155954
#> 1513  1   13     2 -0.985249896  1.0610952533 0 -0.944676028
#> 1514  1   14     2  1.165036029  0.5397906055 1  1.386499245
#> 1515  1   15     2  6.500479203 -2.5079178022 1  6.593880944
#> 1516  1   16     2  3.756448544  0.9112096768 1  3.852378758
#> 1517  1   17     2  0.218033653  2.5754497637 1  0.322540139
#> 1518  1   18     2  1.509025192  0.7841708791 1  1.529191330
#> 1519  1   19     2 -2.678498763  2.7973911470 0 -3.053726414
#> 1520  1   20     2 -0.678944266  1.4819340159 1 -0.916626670
#> 1521  1   21     2  2.792878467 -0.6249283875 1  2.478956305
#> 1522  1   22     2  2.241604308  0.5102732511 1  2.471760969
#> 1523  1   23     2  2.324948788  0.2018374723 1  2.483551899
#> 1524  1   24     2  1.552516636  0.7412773772 1  1.558667362
#> 1525  1   25     2  0.844044928  1.3426239200 1  0.603979578
#> 1526  1   26     2 -1.637208432  1.9001363349 0 -1.670883500
#> 1527  1   27     2  1.606992738  0.0650680195 1  1.583935930
#> 1528  1   28     2  2.607225052 -0.8682240473 1  2.719419770
#> 1529  1   29     2  2.176333419 -0.2382486959 1  1.834727911
#> 1530  1   30     2  2.922761566 -0.6860240001 1  2.840950465
#> 1531  2    1     2           NA  0.6079643222 1  0.799914607
#> 1532  2    2     2  2.121330525 -1.0491770067 1  2.149899777
#> 1533  2    3     2  2.052014860  0.2436874296 1  2.040891783
#> 1534  2    4     2  2.764388551 -0.4898704531 1  2.954428636
#> 1535  2    5     2  1.912178781  0.7567747638 1  2.145966376
#> 1536  2    6     2  1.849978211  0.6511932816 1  1.911350810
#> 1537  2    7     2  2.235958043  0.2678350153 1  2.347386937
#> 1538  2    8     2  3.169725932 -0.3484724490 1  2.997893465
#> 1539  2    9     2  2.968013486  0.2161525418 1  2.973068796
#> 1540  2   10     2  2.715206603  0.5787223746 1  2.749272526
#> 1541  2   11     2  4.956919940 -1.2175999878 1  5.134904795
#> 1542  2   12     2  1.108867302  1.3805145283 0  1.299656939
#> 1543  2   13     2  1.338324737 -0.2128482786 0  1.431866443
#> 1544  2   14     2  0.167635472  0.6164557164 0  0.139077598
#> 1545  2   15     2  4.545419003 -1.5652817650 1  4.307466136
#> 1546  2   16     2  1.864742448  0.1424584320 0  1.645318818
#> 1547  2   17     2  2.683369822 -1.1852888106 0  2.739822928
#> 1548  2   18     2  0.310379492  2.2996193612 1  0.400544920
#> 1549  2   19     2 -3.225972555  2.8322260239 0 -3.232121868
#> 1550  2   20     2  0.004260660 -0.6129877549 0 -0.096106520
#> 1551  2   21     2  0.967365022  0.9571642742 1  0.808179646
#> 1552  2   22     2  0.731451837 -0.3331209012 0  0.806465525
#> 1553  2   23     2  2.628331539 -0.4271963863 1  2.966742075
#> 1554  2   24     2  1.556225613  0.7532950478 1  1.682595750
#> 1555  2   25     2  0.834118300 -0.5035252869 0  0.841259557
#> 1556  2   26     2 -0.030731580  0.1100091234 0  0.401112094
#> 1557  2   27     2 -0.494786693  0.5785892916 0 -0.596732278
#> 1558  2   28     2 -0.540440132  0.7295603610 0 -0.103846778
#> 1559  2   29     2  3.160281733 -1.5578549039 1  3.318138732
#> 1560  2   30     2  2.510064744  0.9934799821 1  2.385513284
#> 1561  3    1     2           NA -1.6178827083 0  1.589469150
#> 1562  3    2     2  0.466878173 -1.2601552448 0  0.617471337
#> 1563  3    3     2  1.079520609  1.2324758785 1  0.933796334
#> 1564  3    4     2  2.329813215  0.0471544328 1  2.464414121
#> 1565  3    5     2  2.345482978 -1.7267303991 0  2.393225576
#> 1566  3    6     2  0.551210772  0.2737664910 0  0.443974132
#> 1567  3    7     2  1.687861821  0.6532576795 1  2.049700719
#> 1568  3    8     2  2.484429799  0.5185037659 1  2.358937157
#> 1569  3    9     2  2.434824301  0.8824651644 1  2.186053658
#> 1570  3   10     2  4.374172487 -1.0875807141 1  4.528401569
#> 1571  3   11     2  2.466851519  1.6875894829 1  2.426948131
#> 1572  3   12     2 -0.882832157  1.9662480155 0 -1.006076800
#> 1573  3   13     2  2.144924064 -0.0936367939 1  2.184646963
#> 1574  3   14     2  2.747868322  0.6165678175 1  2.457425439
#> 1575  3   15     2  1.750364273 -0.0776732006 0  1.814345957
#> 1576  3   16     2  5.251103387 -1.3894835240 1  5.341931014
#> 1577  3   17     2  2.511123611  0.1009198590 0  2.612250999
#> 1578  3   18     2  3.365196971  0.1567029874 1  3.492895037
#> 1579  3   19     2  5.434359010 -1.2187118163 1  5.591424183
#> 1580  3   20     2  2.895114110  1.1161366155 1  2.959620779
#> 1581  3   21     2  0.301108180  2.4244891412 1  0.323614017
#> 1582  3   22     2  2.483216942 -0.0659609464 1  2.617828575
#> 1583  3   23     2  0.445866198  0.2681028700 0  0.358802880
#> 1584  3   24     2  2.477655469 -0.2626705034 1  2.476196111
#> 1585  3   25     2  1.873294104  0.7166833209 1  2.114982126
#> 1586  3   26     2  1.500895342  1.1403868251 1  1.189201279
#> 1587  3   27     2  3.122193098 -1.1692066215 1  3.239107424
#> 1588  3   28     2  0.024042776  0.5002658724 0 -0.008853710
#> 1589  3   29     2 -0.177047866  0.7613098954 0 -0.360347074
#> 1590  3   30     2  2.850826605  0.0385235991 1  2.857669749
#> 1591  4    1     2           NA -0.0555619655 1 -0.509070404
#> 1592  4    2     2  1.426785751  3.2410399349 1  1.662914737
#> 1593  4    3     2  2.824503254 -0.5160638309 1  2.713559641
#> 1594  4    4     2 -0.549612972  1.3001986777 0 -0.654154140
#> 1595  4    5     2  2.722825736 -0.6015067080 1  2.880026657
#> 1596  4    6     2 -0.197528545  1.0246732348 0 -0.512214487
#> 1597  4    7     2  2.268172421 -0.1227086610 1  2.357019808
#> 1598  4    8     2  1.407012759 -0.3906849786 0  1.333609316
#> 1599  4    9     2  2.699693138  0.2055975045 1  2.563418561
#> 1600  4   10     2 -0.159274060  1.4840309316 0 -0.153086411
#> 1601  4   11     2  0.378013048 -0.0160025272 0  0.516660645
#> 1602  4   12     2  2.759398764 -0.0283950547 1  2.768632032
#> 1603  4   13     2  4.083134117 -0.0867141350 1  4.435263347
#> 1604  4   14     2  7.095234026 -1.6921015209 1  7.245585692
#> 1605  4   15     2  5.376668474  0.2062940448 1  5.307947840
#> 1606  4   16     2  3.878940012 -0.8660377447 0  3.940906546
#> 1607  4   17     2  6.570839916 -1.7799772880 1  6.330504622
#> 1608  4   18     2  4.863120311  0.0467335275 1  5.208499829
#> 1609  4   19     2  3.779910932  0.4690319560 1  3.772663633
#> 1610  4   20     2  2.318655077  1.0365480099 1  2.449861713
#> 1611  4   21     2  4.281882528 -0.9159792437 1  4.337403489
#> 1612  4   22     2  3.589634525 -0.1152217094 1  3.491070826
#> 1613  4   23     2  4.475031780 -1.2304309254 1  4.648292859
#> 1614  4   24     2  1.456737781 -0.3125438690 0  1.476969981
#> 1615  4   25     2  1.228554926 -0.7496685841 0  1.071210218
#> 1616  4   26     2  1.556617205  0.7680813047 1  1.339660702
#> 1617  4   27     2 -0.339856542  0.8061848554 0 -0.236030426
#> 1618  4   28     2  1.678966615  0.6342502537 1  1.998996179
#> 1619  4   29     2 -0.613532001  1.1291443956 0 -0.516310824
#> 1620  4   30     2  2.674163121  0.5361489758 1  2.477371860
#> 1621  5    1     2           NA  0.5194072039 1 -1.015564748
#> 1622  5    2     2  0.014620929 -0.4168575882 0 -0.358001992
#> 1623  5    3     2  0.822971292 -0.9925071504 0  0.995924635
#> 1624  5    4     2  0.171495109  2.2930789738 1  0.435371740
#> 1625  5    5     2  2.601552419 -0.3520464566 1  2.686379055
#> 1626  5    6     2  1.880588297  0.8176594464 1  1.914369287
#> 1627  5    7     2  3.097666394 -0.4136765136 1  2.890286451
#> 1628  5    8     2  2.147661117 -1.0927872091 0  2.177077263
#> 1629  5    9     2  3.586696802 -0.6164358429 1  3.387878492
#> 1630  5   10     2  2.783613703 -1.1862065853 0  3.071519967
#> 1631  5   11     2  2.413710043  1.0749450773 1  2.484300724
#> 1632  5   12     2  6.764169314 -2.2490510903 1  6.432870397
#> 1633  5   13     2  1.786869893  1.4414617561 0  1.555910025
#> 1634  5   14     2  0.678156667  0.3687420580 0  0.642576596
#> 1635  5   15     2  2.291578875  0.2768724589 1  2.794626863
#> 1636  5   16     2  1.783966444 -0.1632849322 0  1.975275125
#> 1637  5   17     2  2.338858322  0.5898359230 1  2.377354020
#> 1638  5   18     2  1.243604523  0.0965858341 0  1.423748628
#> 1639  5   19     2  1.241531304 -0.2112469186 0  1.104385321
#> 1640  5   20     2  2.945031062 -0.1624831319 1  2.927595835
#> 1641  5   21     2  1.873162924  1.0576641709 1  1.804799350
#> 1642  5   22     2  3.459962392 -0.6505126188 1  3.468711050
#> 1643  5   23     2  3.004873383 -0.1361368722 1  2.773317033
#> 1644  5   24     2  0.482968680  0.0735986090 0  0.090839406
#> 1645  5   25     2  2.533564370 -0.4785282105 1  2.581973374
#> 1646  5   26     2  1.608796268 -1.1680916221 0  1.427473427
#> 1647  5   27     2  1.941385231  0.3073900762 1  2.249363143
#> 1648  5   28     2  1.858235199  0.4236450456 1  1.653165083
#> 1649  5   29     2  0.310319135 -0.2951078307 0  0.109843919
#> 1650  5   30     2  2.847307306 -0.5236266979 1  3.098508130
#> 1651  6    1     2           NA  0.3011533622 0  0.100858666
#> 1652  6    2     2  0.175266666  0.2982275915 0 -0.077473924
#> 1653  6    3     2  0.621834406  1.6756969324 1  0.688756122
#> 1654  6    4     2 -0.957537480  1.5475810590 0 -1.018973558
#> 1655  6    5     2  1.627002140  0.7035239028 1  1.760778549
#> 1656  6    6     2  2.986599666 -0.2097931712 1  3.171997074
#> 1657  6    7     2  6.123440992 -2.6431489520 1  6.241876948
#> 1658  6    8     2  0.924177724  1.2100105104 0  0.821080598
#> 1659  6    9     2  1.576324286 -0.7347992519 0  1.595493535
#> 1660  6   10     2  3.037450558  0.1010791514 1  2.785827430
#> 1661  6   11     2  6.971908860 -2.6016996703 1  6.873161645
#> 1662  6   12     2  4.188708300  0.0315260046 0  4.057492642
#> 1663  6   13     2  1.198389467  1.1250718923 0  0.965979753
#> 1664  6   14     2  1.727296838  0.9678592099 1  1.992564997
#> 1665  6   15     2  2.349280352  0.8215067804 1  1.748782349
#> 1666  6   16     2 -0.322491135  2.5530261135 1 -0.398741205
#> 1667  6   17     2 -1.062422300  1.0966084717 0 -1.243935377
#> 1668  6   18     2  0.123371692  0.0697662309 0  0.090187707
#> 1669  6   19     2  0.452893229  0.1870511466 0  0.304185792
#> 1670  6   20     2  2.010610464 -0.9759266928 0  2.119589527
#> 1671  6   21     2  2.137601275  0.8251497278 1  2.270608134
#> 1672  6   22     2  5.460001166 -2.0186886591 1  5.462765820
#> 1673  6   23     2  2.491918122  0.8257908317 1  3.031629934
#> 1674  6   24     2 -0.473628916  1.0630177893 0 -0.290063217
#> 1675  6   25     2 -0.308191389  0.4387217506 0 -0.255384632
#> 1676  6   26     2  2.286889052 -0.1711126523 1  2.058993810
#> 1677  6   27     2  2.298637667  0.2638060136 1  2.451878672
#> 1678  6   28     2  0.497572625 -0.2018380447 0  0.355040854
#> 1679  6   29     2  2.014652564  0.5362428184 1  1.722045860
#> 1680  6   30     2  3.248967730 -1.1512213349 1  3.055582569
#> 1681  7    1     2           NA  0.1056761941 1  3.022104185
#> 1682  7    2     2  2.077107963  0.6365696740 1  2.055910950
#> 1683  7    3     2  2.789550309 -0.4411632169 1  2.967003529
#> 1684  7    4     2  2.720553784 -0.1331509643 1  2.800330659
#> 1685  7    5     2  0.821587247 -0.1056713340 0  0.788323885
#> 1686  7    6     2  1.987384664  0.3781677722 1  2.396762471
#> 1687  7    7     2  2.882779901 -0.0929410185 1  3.098144938
#> 1688  7    8     2  2.411777455  0.7409000113 1  2.668812770
#> 1689  7    9     2  3.316776589 -0.1318027930 1  3.393338137
#> 1690  7   10     2  1.060783893  0.5329892868 0  1.093863440
#> 1691  7   11     2  3.405751354 -0.4531978300 1  3.421389098
#> 1692  7   12     2  1.946625349  0.2055612084 0  2.053310858
#> 1693  7   13     2  2.332063064  0.8344015678 1  2.108926160
#> 1694  7   14     2  1.660504168  1.2765786815 1  1.739126254
#> 1695  7   15     2  1.489105052 -0.1941524093 0  1.851509719
#> 1696  7   16     2  5.831634464 -1.8602275742 1  5.822541133
#> 1697  7   17     2  0.664774058  1.4456622411 0  0.465610117
#> 1698  7   18     2  3.152140996 -1.8484727753 0  3.539276284
#> 1699  7   19     2  3.444509208  0.2275427286 1  3.881829904
#> 1700  7   20     2  5.162389995 -1.0891451909 1  5.067313416
#> 1701  7   21     2  3.986508125 -0.0701942243 1  3.807179482
#> 1702  7   22     2  2.841317376  0.3488349702 1  2.635644332
#> 1703  7   23     2  5.423429546 -2.1741246492 1  5.332999549
#> 1704  7   24     2  2.618944205  0.4260204867 1  2.915745587
#> 1705  7   25     2  1.418970235 -0.6791122705 0  1.211932662
#> 1706  7   26     2  1.050633876  1.3052615363 1  1.365926521
#> 1707  7   27     2  1.815049947  0.5084847916 1  1.974232311
#> 1708  7   28     2  0.206248288 -0.0768658984 0 -0.001635648
#> 1709  7   29     2  2.401498165 -0.2758904748 1  2.352680629
#> 1710  7   30     2  2.627330884  0.9147522410 1  2.680799332
#> 1711  8    1     2           NA -0.6407060083 1 -0.428615845
#> 1712  8    2     2  1.949461131 -0.4837806257 1  2.011674191
#> 1713  8    3     2  0.946019869 -0.7230659699 0  1.096189866
#> 1714  8    4     2  1.786306189 -1.7565273956 0  1.519444885
#> 1715  8    5     2  3.514131282 -1.2586486281 1  3.745340843
#> 1716  8    6     2  3.841476366 -0.9454088311 1  3.345610826
#> 1717  8    7     2  0.425953434  0.4302846964 0  0.684066387
#> 1718  8    8     2  0.752502093  1.7242622392 1  0.750975243
#> 1719  8    9     2  2.288676510  0.3100169866 1  2.394660844
#> 1720  8   10     2  2.511146029  0.5867353391 1  2.481019325
#> 1721  8   11     2  4.184083499 -0.6754822916 1  4.208841294
#> 1722  8   12     2  4.710363854 -0.1553453471 1  4.703960196
#> 1723  8   13     2  5.242722795 -0.2873407998 1  5.417760935
#> 1724  8   14     2  3.348894715 -0.2249612710 0  3.637277813
#> 1725  8   15     2  2.215752400  1.2145887945 1  2.413492795
#> 1726  8   16     2 -0.307476197  1.1310546518 0 -0.581707387
#> 1727  8   17     2  4.859146825 -1.9251452518 1  4.797526268
#> 1728  8   18     2  4.444190186 -1.6711270586 0  4.538173643
#> 1729  8   19     2  3.672347313 -1.2619004629 0  3.527386042
#> 1730  8   20     2  2.849358226  0.4577869579 1  2.623029058
#> 1731  8   21     2  3.592228576 -0.4536463741 1  3.713207248
#> 1732  8   22     2  2.198507293  0.7616395076 1  2.227958566
#> 1733  8   23     2  4.331836031 -1.4879261874 1  4.253492117
#> 1734  8   24     2  1.000597350  1.4330075108 1  1.243802590
#> 1735  8   25     2  4.038239380 -1.7029648351 1  4.268532761
#> 1736  8   26     2  1.975007112  0.8760961096 1  2.172244960
#> 1737  8   27     2  0.310330903 -0.1163584399 0  0.424825880
#> 1738  8   28     2  1.517973485  0.6873641133 1  1.653377917
#> 1739  8   29     2 -0.448132596  0.6823152451 0 -0.204850369
#> 1740  8   30     2  2.585571339  0.2380714916 1  2.112486402
#> 1741  9    1     2           NA -0.8497043460 1  1.145681218
#> 1742  9    2     2  1.943988459  0.5168620443 1  2.060451984
#> 1743  9    3     2  3.481934086 -1.2362731189 1  3.611234909
#> 1744  9    4     2  3.018383761 -0.3887798641 1  3.104076490
#> 1745  9    5     2  1.181263608  1.6844357081 1  0.940592347
#> 1746  9    6     2  1.480118125  0.8569230109 1  1.580796088
#> 1747  9    7     2 -0.030940151  0.5353988409 0 -0.002035771
#> 1748  9    8     2  2.288859001  0.0651539326 1  2.594268388
#> 1749  9    9     2  4.068239220 -1.0396803527 1  4.121756260
#> 1750  9   10     2  4.104132243 -0.3017466639 1  3.899953027
#> 1751  9   11     2  5.571010090 -1.2229261794 1  5.915908246
#> 1752  9   12     2  4.694331539  0.5682886208 1  4.433565492
#> 1753  9   13     2  4.226583044  0.3732414342 1  4.147687449
#> 1754  9   14     2  4.913724530 -0.3218925862 1  4.969679632
#> 1755  9   15     2  5.865122883 -0.9215160429 1  6.092338705
#> 1756  9   16     2  3.631140906 -0.5272342572 0  3.489168459
#> 1757  9   17     2  3.172704623  0.4127694972 1  3.195334402
#> 1758  9   18     2  3.754645746 -0.0775389668 1  3.835236782
#> 1759  9   19     2  3.437161042  0.2855895802 1  3.322878015
#> 1760  9   20     2  3.568662826 -0.0711267337 1  3.614633925
#> 1761  9   21     2 -0.548342976  1.5753077068 0 -0.320646125
#> 1762  9   22     2  3.632052113 -1.2887162354 1  3.634863633
#> 1763  9   23     2  4.341572725 -1.1619375576 1  4.398863271
#> 1764  9   24     2  2.913310364 -0.0076368704 1  2.877896868
#> 1765  9   25     2 -0.763360623  1.2651684352 0 -0.642107011
#> 1766  9   26     2  1.390736603  0.4637961416 1  1.542273722
#> 1767  9   27     2  1.498971415  0.9255460985 1  1.349542380
#> 1768  9   28     2 -0.015898164  0.1716315069 0  0.070331551
#> 1769  9   29     2  2.249148400 -0.1172907147 1  2.294627288
#> 1770  9   30     2  2.836323595 -0.2390677595 1  2.631366744
#> 1771 10    1     2           NA -1.0241287906 1 -0.243098210
#> 1772 10    2     2  1.853894317  0.3689645274 1  1.845338526
#> 1773 10    3     2  3.453307182 -1.2847157223 1  3.415391240
#> 1774 10    4     2  2.522503741  0.0892072231 1  2.671626886
#> 1775 10    5     2 -0.193861850  0.9113912918 0 -0.186934534
#> 1776 10    6     2  0.619542259 -0.4610383389 0  0.529066321
#> 1777 10    7     2  0.913516015 -0.5552783513 0  0.655498983
#> 1778 10    8     2  1.379643092  1.1250027458 1  1.248016943
#> 1779 10    9     2  2.911908188 -0.1843088688 1  3.226234221
#> 1780 10   10     2  3.369271425  0.0795019953 1  3.622796787
#> 1781 10   11     2  2.050557808  1.5466091542 1  1.914785204
#> 1782 10   12     2 -0.019155758  1.0106779645 0  0.150112460
#> 1783 10   13     2  1.867631963  0.4032903312 1  1.829617664
#> 1784 10   14     2 -0.825090852  1.4878378319 0 -0.887358328
#> 1785 10   15     2  1.675175787 -1.2084427204 0  1.765303631
#> 1786 10   16     2  0.689178965  1.6659909000 1  0.713818111
#> 1787 10   17     2  0.371207752  1.5933699514 1  0.277424068
#> 1788 10   18     2  3.286905385 -0.5810673806 1  3.547790179
#> 1789 10   19     2  1.377802656  1.7492473631 1  1.052654357
#> 1790 10   20     2  0.285558711  1.7791026669 1  0.380044556
#> 1791 10   21     2  4.898347858 -2.0054578182 1  4.868335599
#> 1792 10   22     2  1.698385937  1.4824027185 1  1.899864315
#> 1793 10   23     2  4.428699131 -1.5890896941 1  4.186120484
#> 1794 10   24     2 -0.556596955  1.1256676052 0 -0.423094959
#> 1795 10   25     2  1.461902585  0.3603572379 1  1.716701519
#> 1796 10   26     2  1.848086528  0.4771142454 1  1.800642044
#> 1797 10   27     2  1.712813018  0.6482297737 1  1.564769319
#> 1798 10   28     2  2.549473030 -0.8301085743 1  2.341021040
#> 1799 10   29     2  0.263553945 -0.3446758639 0  0.205609773
#> 1800 10   30     2  2.681717492  0.0692353265 1  2.473965339
#> 1801 11    1     2           NA  0.1176465971 1 -0.478543238
#> 1802 11    2     2  2.126039321 -0.2153805076 1  1.845366106
#> 1803 11    3     2  2.980124059 -0.5739734793 1  2.727937010
#> 1804 11    4     2 -0.068648555  0.8450130041 0  0.198378009
#> 1805 11    5     2  2.167756043  0.2374302725 1  2.233113146
#> 1806 11    6     2  0.264349636  2.4167733538 1  0.351792428
#> 1807 11    7     2  0.402876583  1.7795029098 1  0.465082022
#> 1808 11    8     2 -1.291575940  1.9754190540 0 -1.104607879
#> 1809 11    9     2  1.432799108  0.9672672602 1  1.298585289
#> 1810 11   10     2  1.972911600  0.9612641518 1  1.966557917
#> 1811 11   11     2  3.103608412 -1.4152819198 0  3.582249207
#> 1812 11   12     2  5.107250156 -0.5179824302 1  5.366516935
#> 1813 11   13     2  4.936926838 -1.0416732943 0  5.263842597
#> 1814 11   14     2  5.562961726 -1.6679280458 0  5.711074986
#> 1815 11   15     2  4.795240602 -1.2289861776 0  4.771647033
#> 1816 11   16     2  6.093716728 -1.1392006400 1  6.050091377
#> 1817 11   17     2  3.526390320 -0.4140158630 0  3.461478853
#> 1818 11   18     2  3.827387071  0.0547365251 1  3.850571492
#> 1819 11   19     2  4.182101843 -0.1640900041 1  3.962837714
#> 1820 11   20     2  1.147605997  0.5351379605 0  1.097999232
#> 1821 11   21     2  3.586744889 -0.6431947916 1  3.662140687
#> 1822 11   22     2  0.891903495  0.3851548237 0  1.171066353
#> 1823 11   23     2  1.876379316  0.4195830393 1  1.870576721
#> 1824 11   24     2  1.385324030  0.8830023110 1  1.178325128
#> 1825 11   25     2  3.023690078 -0.5836394406 1  2.937608154
#> 1826 11   26     2  3.177562949 -0.4914053002 1  3.062103470
#> 1827 11   27     2  0.708961525 -0.1502093742 0  0.419404059
#> 1828 11   28     2  2.342889373 -0.2901591198 1  2.432464613
#> 1829 11   29     2  2.100102308  0.1116204982 1  2.227757210
#> 1830 11   30     2  2.644200159  1.3259083426 1  2.885934394
#> 1831 12    1     2           NA -0.9474746142 1 -0.710417122
#> 1832 12    2     2  1.944592968  0.0652930335 1  1.877130021
#> 1833 12    3     2  1.774711784  0.6179858172 1  1.759789006
#> 1834 12    4     2  1.524540650  0.9625279685 1  2.007909574
#> 1835 12    5     2  1.457747472  1.2181086103 1  1.569199613
#> 1836 12    6     2  4.251083625 -1.6510488957 1  4.501533363
#> 1837 12    7     2  0.974519456  0.2864244196 0  0.781702796
#> 1838 12    8     2  2.848196613 -0.2814821150 1  3.055072341
#> 1839 12    9     2  3.392643940 -0.1082800912 1  2.966020532
#> 1840 12   10     2  2.936038690 -1.4564659171 0  2.671380225
#> 1841 12   11     2  3.175808164  0.3183902604 1  3.092213141
#> 1842 12   12     2  4.427004457 -0.2940953272 1  4.284924656
#> 1843 12   13     2  7.208432107 -1.7283045153 1  7.095562643
#> 1844 12   14     2  6.569129561 -0.4368299769 1  6.566440836
#> 1845 12   15     2  2.305211689  0.7422970242 0  2.598539978
#> 1846 12   16     2  3.265265912  0.1436232347 1  3.476017315
#> 1847 12   17     2  4.095383503 -0.2121505321 1  3.779509451
#> 1848 12   18     2  6.733514318 -2.1112083733 1  6.937739948
#> 1849 12   19     2  5.193528533 -0.1629267107 1  5.242251503
#> 1850 12   20     2  2.682341923 -0.3719448752 0  2.698440156
#> 1851 12   21     2  4.965417686 -1.4368434437 1  4.979191840
#> 1852 12   22     2 -0.011916461  1.3416402950 0 -0.242383956
#> 1853 12   23     2  1.235854472 -0.9929283498 0  1.219076741
#> 1854 12   24     2  1.462675505  0.6120834609 1  1.624147700
#> 1855 12   25     2  4.552494248 -1.9940787873 1  4.294265260
#> 1856 12   26     2  4.110661158 -1.3193853133 1  3.937380702
#> 1857 12   27     2 -0.136380190  1.0403770193 0 -0.142081642
#> 1858 12   28     2  2.826884906 -1.3191257242 1  2.749138011
#> 1859 12   29     2  2.236107535 -0.2834053150 1  2.349048730
#> 1860 12   30     2  2.969848484 -0.6981666346 1  2.931330481
#> 1861 13    1     2           NA -0.4905574437 1 -0.211244628
#> 1862 13    2     2  2.040162371 -0.0340672537 1  1.964347649
#> 1863 13    3     2 -0.588555271  1.1098481389 0 -0.384748019
#> 1864 13    4     2  1.469814342  0.6843094294 1  1.386224740
#> 1865 13    5     2  3.724380036 -1.3387742872 1  3.621573592
#> 1866 13    6     2  3.474528035 -0.4639872430 1  3.771304119
#> 1867 13    7     2  3.002587332  0.1263158585 1  2.855508307
#> 1868 13    8     2  4.409975139 -1.3229511128 1  4.239562380
#> 1869 13    9     2  4.283944318 -0.6984206676 1  4.270753061
#> 1870 13   10     2  4.725904484 -0.7817397115 1  4.642428416
#> 1871 13   11     2  3.473097704  0.8464362856 1  3.587746197
#> 1872 13   12     2  1.810304873  0.3978422088 0  1.745698465
#> 1873 13   13     2  2.485536495  0.6418300277 1  2.870533862
#> 1874 13   14     2  3.247637206  0.4574620794 1  3.593126593
#> 1875 13   15     2  2.191854165 -0.0829199423 0  2.048333565
#> 1876 13   16     2  2.890069294 -1.0995509417 0  3.010070006
#> 1877 13   17     2  3.709389026 -0.0365372222 1  3.634684524
#> 1878 13   18     2  3.929933176 -1.4986982545 0  3.855345251
#> 1879 13   19     2  2.061748450  1.3985720063 1  1.932605725
#> 1880 13   20     2  4.454349864 -1.0255422485 1  3.935054380
#> 1881 13   21     2  1.831523148  1.3953134389 1  1.816196897
#> 1882 13   22     2  3.903696734 -0.9571704712 1  4.029602296
#> 1883 13   23     2  5.792326970 -2.1645470853 1  5.733825052
#> 1884 13   24     2  2.762439578  0.4147007068 1  2.711618747
#> 1885 13   25     2 -1.419361036  1.9022097714 0 -1.352296430
#> 1886 13   26     2  0.554958976  1.2954257908 1  0.571076697
#> 1887 13   27     2  1.883510586  0.2925586849 1  2.114426736
#> 1888 13   28     2  2.771267598 -0.9670319027 1  2.896752984
#> 1889 13   29     2  0.510158218 -0.5910171645 0  0.545245811
#> 1890 13   30     2  2.978978918 -0.7494084445 1  2.930446699
#> 1891 14    1     2           NA -0.2560921922 1  1.641784471
#> 1892 14    2     2  1.770081816  2.1284518990 1  1.766273151
#> 1893 14    3     2  1.727665835  0.7075883538 1  1.666752499
#> 1894 14    4     2  3.697761431 -1.3952743498 1  3.769974415
#> 1895 14    5     2  2.309285165  0.6608202978 1  2.196038201
#> 1896 14    6     2  1.855005250  0.8253798628 1  1.472755020
#> 1897 14    7     2  1.179629122  1.2722667795 1  0.982327760
#> 1898 14    8     2  0.937199066 -0.2393515671 0  0.993337541
#> 1899 14    9     2  3.046359493 -0.2759451684 1  3.110890711
#> 1900 14   10     2  1.228947484  0.3204023143 0  0.973104533
#> 1901 14   11     2  2.634391394  0.1781901884 1  2.170241162
#> 1902 14   12     2  4.350950675 -0.5502237415 1  4.453769005
#> 1903 14   13     2  7.068488580 -1.5293105312 1  6.712950111
#> 1904 14   14     2  6.149109157 -1.6177737654 0  6.145593274
#> 1905 14   15     2  4.084740825  0.7898179218 1  4.232926926
#> 1906 14   16     2  2.898590933  0.9035164264 1  2.572192862
#> 1907 14   17     2  2.974061231  0.3650187514 1  3.194480550
#> 1908 14   18     2  3.240442479 -1.1014834389 0  3.199120265
#> 1909 14   19     2  0.514180556  0.8983962407 0  0.286807054
#> 1910 14   20     2  1.336170219 -0.5824016746 0  1.332989954
#> 1911 14   21     2  1.056236998 -0.1907034326 0  1.126239265
#> 1912 14   22     2  0.393477466  0.1667812884 0  0.417321336
#> 1913 14   23     2  2.976962077 -0.6375687651 1  3.323694884
#> 1914 14   24     2  3.103266140 -0.2798823971 1  3.376918940
#> 1915 14   25     2 -0.925135753  3.3903708213 1 -0.849651674
#> 1916 14   26     2  1.192644910 -1.4202194917 0  1.265949757
#> 1917 14   27     2 -0.243339345  0.6687513994 0 -0.046682017
#> 1918 14   28     2  0.196863897 -0.1446110701 0 -0.101025883
#> 1919 14   29     2  2.484968765 -0.3159369312 1  2.342796362
#> 1920 14   30     2  1.034697763 -0.6196150527 0  0.980781509
#> 1921 15    1     2           NA  1.8438620052 0  0.301846721
#> 1922 15    2     2  0.138575032 -0.7413360963 0  0.495252865
#> 1923 15    3     2  0.393835003 -0.3636572971 0  0.081746629
#> 1924 15    4     2  1.309682051  0.8496430456 1  1.067041408
#> 1925 15    5     2  2.843804587 -0.5229123763 1  2.712106652
#> 1926 15    6     2  2.189630192  0.5101325469 1  2.243000103
#> 1927 15    7     2  1.526964215 -0.7184662213 0  1.438761680
#> 1928 15    8     2  0.924457354 -0.2140412400 0  0.674679057
#> 1929 15    9     2 -0.353215703  1.1146485454 0 -0.547628510
#> 1930 15   10     2  2.604789322 -0.4447819783 1  2.742100485
#> 1931 15   11     2  4.616732686 -0.8752554775 1  4.499200885
#> 1932 15   12     2  2.621780379  0.0912673835 0  2.775975748
#> 1933 15   13     2  3.870003556  0.0016836885 1  4.103435953
#> 1934 15   14     2  2.049551462  0.2796278624 0  1.630500930
#> 1935 15   15     2  3.471167915 -0.2677064216 1  3.589473495
#> 1936 15   16     2  1.711633309  1.4837794887 1  1.791492550
#> 1937 15   17     2  2.143119955  0.6651598757 1  1.941862547
#> 1938 15   18     2  1.844844134  0.9860582211 1  1.804358312
#> 1939 15   19     2  5.227133572 -1.6484948184 1  5.111800381
#> 1940 15   20     2  3.613984890  0.3428883929 1  3.508261291
#> 1941 15   21     2  4.027819891 -0.5246711995 1  3.904585504
#> 1942 15   22     2  3.361766974 -0.1000139589 1  3.362658354
#> 1943 15   23     2  3.286127490 -0.3906352515 1  2.975793986
#> 1944 15   24     2  2.714692725 -0.1090375092 1  2.571090473
#> 1945 15   25     2  2.298515193  0.2074804074 1  2.791354140
#> 1946 15   26     2  3.401008711 -0.9388959197 1  3.524172544
#> 1947 15   27     2  2.927666562 -0.5941776416 1  3.144103270
#> 1948 15   28     2  1.267677788 -1.7981325564 0  1.403434919
#> 1949 15   29     2  0.112049839 -0.0081521523 0  0.220362779
#> 1950 15   30     2  3.063747455 -1.5849912682 1  2.852695037
#> 1951 16    1     2           NA -0.6519499017 1  0.487329123
#> 1952 16    2     2  2.464188985 -1.0959962671 1  2.357684577
#> 1953 16    3     2  2.614910342  0.0597499374 1  2.646066711
#> 1954 16    4     2  3.178413655 -0.4465572164 1  2.999906565
#> 1955 16    5     2  2.339527224  0.6837455219 1  2.376575775
#> 1956 16    6     2  3.542023945 -0.5894810385 1  3.598665235
#> 1957 16    7     2  3.796888977 -0.4503386239 1  4.047490557
#> 1958 16    8     2  3.442548442  0.1516805045 1  3.552219136
#> 1959 16    9     2  3.172045198  0.5500439612 1  3.337472839
#> 1960 16   10     2  2.388449115  1.3700039940 1  2.901271922
#> 1961 16   11     2  0.782744047  0.9411658067 0  0.893628678
#> 1962 16   12     2  5.793392713 -1.9617075989 1  5.642701283
#> 1963 16   13     2  3.340490634  0.2502478213 0  3.339448062
#> 1964 16   14     2  1.637589096  1.8778640211 1  1.521178197
#> 1965 16   15     2  2.175418992 -0.5918921022 0  2.375538626
#> 1966 16   16     2 -1.146990615  1.9507210064 0 -1.095355089
#> 1967 16   17     2 -1.613993453  1.3178208837 0 -1.853402656
#> 1968 16   18     2  1.492234252 -1.0984900071 0  1.282890679
#> 1969 16   19     2  2.845375373  0.2285569733 1  2.716720231
#> 1970 16   20     2  4.138211762 -0.4509346471 1  4.217960493
#> 1971 16   21     2 -0.144306578  3.1840444741 1 -0.392473088
#> 1972 16   22     2  1.399679458  0.7685074319 1  1.344661764
#> 1973 16   23     2  1.480979838  0.8567854738 1  1.463797299
#> 1974 16   24     2  2.229471003  0.2293954957 1  1.806331832
#> 1975 16   25     2 -0.271608814  0.8498066475 0 -0.014859892
#> 1976 16   26     2  1.638842566  0.6289649925 1  1.565840376
#> 1977 16   27     2  1.289696103  1.5804318370 1  1.405650328
#> 1978 16   28     2  3.363571559 -1.6885424746 1  3.335212109
#> 1979 16   29     2  0.123880650  0.2074951407 0 -0.007513032
#> 1980 16   30     2  0.836834183  0.8196281375 0  0.764720098
#> 1981 17    1     2           NA  0.2353865723 0  0.838735792
#> 1982 17    2     2  0.076533004  0.0377883992 0  0.191608243
#> 1983 17    3     2  2.670107145 -0.7045964637 1  2.836624491
#> 1984 17    4     2  0.445438594  0.1748027002 0  0.653172813
#> 1985 17    5     2  0.428591382 -0.0608219547 0  0.306873124
#> 1986 17    6     2  1.347174117 -0.9967807422 0  1.705717923
#> 1987 17    7     2 -2.054698466  2.3974524800 0 -2.193663792
#> 1988 17    8     2  0.192590894  1.7123049773 1  0.121438359
#> 1989 17    9     2  1.411183523  1.2366758001 1  1.596277213
#> 1990 17   10     2  0.286924809  0.6732538634 0  0.180485342
#> 1991 17   11     2  0.259641585  0.1705880818 0  0.353068387
#> 1992 17   12     2  4.127496675 -1.1198997214 1  3.984045736
#> 1993 17   13     2  3.751018734  0.5638673903 1  3.722570306
#> 1994 17   14     2  4.288134103 -0.0040606534 1  4.025459778
#> 1995 17   15     2  4.715284859 -0.3683525751 1  4.721923734
#> 1996 17   16     2  3.197360816  0.7976006576 1  3.231237734
#> 1997 17   17     2  3.839335383 -0.0954875904 1  3.857280417
#> 1998 17   18     2  5.012464698 -0.7995139536 1  5.463013161
#> 1999 17   19     2  2.274223243  1.6535472347 1  2.514261858
#> 2000 17   20     2  2.548064101  0.5142301202 1  2.888844778
#> 2001 17   21     2  3.285573039 -0.0500372679 1  3.463829304
#> 2002 17   22     2  3.860075910 -0.5758595679 1  3.676885378
#> 2003 17   23     2  4.316719353 -1.1037521360 1  4.640561008
#> 2004 17   24     2  2.935400184  0.0488888907 1  3.102241922
#> 2005 17   25     2  1.343187630  1.2245603121 1  1.294413427
#> 2006 17   26     2  3.427073050 -1.2621945494 1  3.525196361
#> 2007 17   27     2  2.542420497 -0.0039889443 1  2.516307109
#> 2008 17   28     2  1.487763575  1.1025651994 1  1.379699687
#> 2009 17   29     2 -0.895846041  1.5324236216 0 -0.575068235
#> 2010 17   30     2  0.729572741  0.1923696467 0  0.978592497
#> 2011 18    1     2           NA  0.0779608496 1  2.071741513
#> 2012 18    2     2  1.874114576  0.3104807494 1  1.857768347
#> 2013 18    3     2  2.801010398 -0.7172181616 1  2.728081877
#> 2014 18    4     2  2.289544824  0.0745511772 1  2.138159274
#> 2015 18    5     2 -0.161523650  0.6329607130 0  0.089484971
#> 2016 18    6     2 -0.088517482  0.1444757047 0 -0.102025046
#> 2017 18    7     2  1.968998333  0.0111291872 1  2.008031701
#> 2018 18    8     2  1.014098036 -0.3261438925 0  0.976781721
#> 2019 18    9     2  2.417279748  0.1390978572 1  2.489165776
#> 2020 18   10     2  1.010467355  0.0721667524 0  0.985810670
#> 2021 18   11     2  3.894159027 -1.0634979064 1  3.961389858
#> 2022 18   12     2  6.103496934 -1.3277554756 1  6.212309452
#> 2023 18   13     2  5.275418786  0.1894262375 1  5.260302609
#> 2024 18   14     2  5.237590431 -0.2784540250 1  4.837006811
#> 2025 18   15     2  6.941610834 -1.8526168242 1  6.980944689
#> 2026 18   16     2  2.415273563  1.8432662546 1  2.432770913
#> 2027 18   17     2  0.932828962  0.1962780455 0  1.045285564
#> 2028 18   18     2  2.560838006  0.0798738187 1  2.431079292
#> 2029 18   19     2  1.275077135  1.4152763499 1  1.137069591
#> 2030 18   20     2  3.013597671 -0.3343380522 1  2.921649866
#> 2031 18   21     2  3.587737302 -0.4437493119 1  3.720244429
#> 2032 18   22     2  3.045884304 -0.0100976720 1  3.137863821
#> 2033 18   23     2  1.101338815  1.1612892557 1  1.044611601
#> 2034 18   24     2  0.812766079  0.9432244684 1  0.549582742
#> 2035 18   25     2  2.704737334 -0.7018044335 1  2.493005577
#> 2036 18   26     2  2.825502820 -0.5518704133 1  2.322867854
#> 2037 18   27     2  1.518719792  0.8478427689 1  1.430312510
#> 2038 18   28     2  2.254971192 -0.5766189242 1  2.290170663
#> 2039 18   29     2  2.803014537 -1.3579978310 1  2.710422679
#> 2040 18   30     2  0.611568284  0.2071719742 0  0.686783445
#> 2041 19    1     2           NA -0.9618566341 1  0.775618842
#> 2042 19    2     2 -0.031722277  0.4365234789 0 -0.135926899
#> 2043 19    3     2 -0.860499875  0.8846504990 0 -0.678071348
#> 2044 19    4     2  1.580998832  0.4281667650 1  1.786451002
#> 2045 19    5     2  1.289415308  1.3355176151 1  1.448957290
#> 2046 19    6     2  0.522168758 -0.0143074132 0  0.856978333
#> 2047 19    7     2  0.545322908  1.6335684214 1  0.728988578
#> 2048 19    8     2  2.170672420  0.3730046558 1  2.148104617
#> 2049 19    9     2  2.660939562  0.4102750965 1  2.720378428
#> 2050 19   10     2  2.876853942 -1.5077573175 0  2.998676399
#> 2051 19   11     2  3.396162325 -1.3880490476 0  3.403829026
#> 2052 19   12     2  3.357651745 -0.8536236967 0  3.068515873
#> 2053 19   13     2  3.125073484 -0.7328538063 0  3.437243572
#> 2054 19   14     2  3.430981017  0.4749117140 1  3.559906566
#> 2055 19   15     2  5.596601769 -1.1696152604 1  5.864572177
#> 2056 19   16     2  2.987411152  1.2464239087 1  3.030252780
#> 2057 19   17     2 -1.945889230  2.4879978772 0 -1.562994549
#> 2058 19   18     2  0.304303836 -0.3227463618 0  0.289248540
#> 2059 19   19     2  1.971139668  0.4199516038 1  1.752528650
#> 2060 19   20     2  3.088038262 -0.1055599088 1  3.337717122
#> 2061 19   21     2  2.952729666  0.2998652501 1  3.237240592
#> 2062 19   22     2  5.215135523 -1.7786591487 1  4.768469828
#> 2063 19   23     2  2.642175153  0.3983627156 1  2.830445800
#> 2064 19   24     2  2.697946504 -0.1093171232 1  2.662006792
#> 2065 19   25     2  0.972097113 -0.3511962296 0  1.168046018
#> 2066 19   26     2  3.295616371 -1.1827995068 1  3.402614460
#> 2067 19   27     2  0.586430140 -0.1001165259 0  0.665776861
#> 2068 19   28     2  3.166782126 -1.8516917296 1  3.256093902
#> 2069 19   29     2  2.123030552 -0.1996190506 1  2.274342063
#> 2070 19   30     2  2.800586854 -0.0433473543 1  3.005001569
#> 2071 20    1     2           NA -0.0713080861 1 -1.427111353
#> 2072 20    2     2  2.072803617 -0.4583653327 1  2.078818744
#> 2073 20    3     2  3.392162406 -1.0155925786 1  3.540753332
#> 2074 20    4     2  2.742478092  0.0246749828 1  2.425098742
#> 2075 20    5     2  2.702474906  0.0072900903 1  2.526145178
#> 2076 20    6     2  2.690764196 -1.7902812373 0  2.584246143
#> 2077 20    7     2  4.509367935 -1.4385066449 1  4.694977468
#> 2078 20    8     2  3.811405898 -0.2276840649 1  3.502254970
#> 2079 20    9     2  3.991449699 -0.5584569123 1  3.741714412
#> 2080 20   10     2  3.745558173  0.0261002253 1  4.207689549
#> 2081 20   11     2  1.800266804  2.0867174345 1  1.392179171
#> 2082 20   12     2  4.158748152 -0.6933045279 1  3.839355500
#> 2083 20   13     2  3.135671537  0.9863658599 1  3.364322556
#> 2084 20   14     2  4.574459200 -0.2790721708 1  4.593655939
#> 2085 20   15     2  4.560494366 -1.4420346464 0  4.606931184
#> 2086 20   16     2  4.549079630 -0.1318749118 1  4.425437545
#> 2087 20   17     2  3.619917238  0.4310989281 1  4.043984795
#> 2088 20   18     2  3.887221312  0.1464171787 1  4.011484064
#> 2089 20   19     2  1.064092678  0.7212208071 0  0.687971627
#> 2090 20   20     2  1.691166880 -0.7305096728 0  1.520897801
#> 2091 20   21     2  4.842954777 -1.5684246208 1  5.021885784
#> 2092 20   22     2  4.605426998 -0.7776214429 1  4.661008193
#> 2093 20   23     2  2.763982000  0.3623521576 1  3.145323555
#> 2094 20   24     2  2.821788455 -0.0703769216 1  2.918932641
#> 2095 20   25     2  2.640574778 -1.7271210366 0  2.895925331
#> 2096 20   26     2  2.107666015  0.6206635577 1  1.798757799
#> 2097 20   27     2  0.558493151 -0.2796299070 0  0.423089873
#> 2098 20   28     2  0.221019087 -0.1128632394 0  0.074750868
#> 2099 20   29     2 -0.129770212  0.6315231278 0 -0.045826471
#> 2100 20   30     2  2.941410051 -0.5101604414 1  2.575135379
#> 2101 21    1     2           NA  1.4445508584 1 -1.033511335
#> 2102 21    2     2  2.076884846 -1.0633261340 1  1.839926355
#> 2103 21    3     2  0.484701407  1.9552939655 1  0.697085271
#> 2104 21    4     2  3.673870830 -1.6674750976 1  3.464059881
#> 2105 21    5     2  1.824823203  1.0175586370 1  1.900393453
#> 2106 21    6     2  2.508697799  0.0345510671 1  2.391162601
#> 2107 21    7     2  2.930782544 -0.1905168020 1  2.834442444
#> 2108 21    8     2  2.992091258  0.0204507085 1  3.281776717
#> 2109 21    9     2  2.762493762  0.6053706689 1  2.613047265
#> 2110 21   10     2  3.569101553 -0.3164158682 1  3.064417782
#> 2111 21   11     2  2.535996997 -0.6785031454 0  2.280400552
#> 2112 21   12     2  3.019687380  0.3823051425 1  3.108845356
#> 2113 21   13     2  1.531557462  1.7386337669 1  1.161799968
#> 2114 21   14     2 -0.181419266  0.8134003741 0 -0.412397737
#> 2115 21   15     2 -1.263057172  1.0543222720 0 -1.092725731
#> 2116 21   16     2  1.240406029  0.4770372383 1  1.038553694
#> 2117 21   17     2  2.519974367  0.1887531093 1  2.668876836
#> 2118 21   18     2  0.342036795  2.3050619820 1  0.228653878
#> 2119 21   19     2  2.070092556 -1.1969352122 0  1.601446992
#> 2120 21   20     2  0.313881940  1.9050435849 1  0.267503222
#> 2121 21   21     2  1.733467134  0.4903026427 1  1.739358429
#> 2122 21   22     2  2.477963041  0.1250338837 1  2.719464033
#> 2123 21   23     2  3.703179199 -0.8525256703 1  3.308128541
#> 2124 21   24     2  1.270116427 -0.4843190876 0  1.614715702
#> 2125 21   25     2  3.116090150 -0.7365782323 1  2.822076034
#> 2126 21   26     2  2.121705019  0.4463130166 1  2.277056586
#> 2127 21   27     2  1.701282859  0.7844382453 1  1.626236349
#> 2128 21   28     2  1.250170253  1.3210692672 1  0.972270670
#> 2129 21   29     2  0.885924491  1.7620209034 1  0.982384827
#> 2130 21   30     2  2.906492921 -0.8234186138 1  2.823185238
#> 2131 22    1     2           NA  0.4515040531 1 -1.589455114
#> 2132 22    2     2  1.692398274  1.2631851761 1  2.169889755
#> 2133 22    3     2  0.528125121 -0.0903195940 0  0.364448913
#> 2134 22    4     2  1.519670865  0.7364959648 1  1.518702329
#> 2135 22    5     2  1.608545027 -1.1884340351 0  1.543213354
#> 2136 22    6     2  2.348736804  0.1902303157 1  2.330951514
#> 2137 22    7     2  0.376501840  0.3784239036 0  0.214545310
#> 2138 22    8     2  2.150692702  0.3140576635 1  2.336179797
#> 2139 22    9     2  3.575792057 -0.5063335422 1  3.613208396
#> 2140 22   10     2  3.775220990 -0.1023465135 1  3.669688308
#> 2141 22   11     2  6.288205006 -1.8555716539 1  6.243507144
#> 2142 22   12     2  4.351935552  0.9821130025 1  3.997678131
#> 2143 22   13     2  3.315223309  0.8811788089 1  3.968787218
#> 2144 22   14     2  3.126158546  0.9044354644 1  2.849453739
#> 2145 22   15     2  4.530221605 -0.5973300914 1  4.664853728
#> 2146 22   16     2  5.716080797 -0.9719942115 1  5.832991891
#> 2147 22   17     2  6.650830204 -1.3422431253 1  6.717373992
#> 2148 22   18     2  6.550758175 -1.1246036713 1  6.751046025
#> 2149 22   19     2  4.537376283  0.3001315669 1  4.200470556
#> 2150 22   20     2  3.379023749  0.3326217315 1  3.170713453
#> 2151 22   21     2  1.470413900 -0.0961632011 0  1.228321206
#> 2152 22   22     2  3.412305421 -0.7063214924 1  3.659235998
#> 2153 22   23     2 -1.535750493  1.9536678799 0 -1.615113922
#> 2154 22   24     2 -0.185678345 -0.1383363285 0 -0.324142940
#> 2155 22   25     2  1.280032949  0.6224097829 1  1.062395747
#> 2156 22   26     2  1.844387748  0.4218846933 1  2.077425782
#> 2157 22   27     2  3.478300412 -1.5846166446 1  3.267022396
#> 2158 22   28     2  1.808143760  0.6622542969 1  1.684616706
#> 2159 22   29     2  1.833538869  0.4260143626 1  1.723119524
#> 2160 22   30     2  2.637700963  0.8518564033 1  2.627716754
#> 2161 23    1     2           NA  0.0412329220 0 -2.848546770
#> 2162 23    2     2  1.773684222 -0.3496503880 1  1.752247321
#> 2163 23    3     2  0.031772137  0.2145388266 0  0.030778331
#> 2164 23    4     2  1.646374636  0.3860265683 1  1.569217149
#> 2165 23    5     2  3.032420685 -0.7216044404 1  3.155400971
#> 2166 23    6     2  2.554042089  0.1747263970 1  2.334110005
#> 2167 23    7     2  2.304835183  0.3000385452 1  2.286853436
#> 2168 23    8     2  1.521797405  1.3282146960 1  1.609885731
#> 2169 23    9     2  2.087499758 -1.4205655047 0  2.292098354
#> 2170 23   10     2  4.278903483 -1.1815592271 1  4.042707627
#> 2171 23   11     2  1.445801507  0.5332593628 0  1.626751603
#> 2172 23   12     2  4.136927648 -0.7273835291 1  3.907422263
#> 2173 23   13     2  5.227878568 -1.9436509013 0  5.690122802
#> 2174 23   14     2  5.130955694  0.0026916612 1  5.064607780
#> 2175 23   15     2  3.436689092  0.7894598528 1  3.521373659
#> 2176 23   16     2  3.993883396 -0.1852021694 1  3.822115703
#> 2177 23   17     2  1.832360003  0.0028560476 0  2.239998415
#> 2178 23   18     2  3.614100616 -0.3054696399 1  3.494428782
#> 2179 23   19     2  4.859335267 -0.9544489352 1  4.772802607
#> 2180 23   20     2  3.575071995  0.2306336405 1  3.755576775
#> 2181 23   21     2  2.780600682  0.4685251225 1  2.858249268
#> 2182 23   22     2  2.929846063 -0.0435694858 1  2.429124269
#> 2183 23   23     2  2.695793079 -0.1642708321 1  2.516964763
#> 2184 23   24     2  2.487999880 -0.0687656423 1  2.744999957
#> 2185 23   25     2  0.834186355 -0.2907159892 0  1.172511965
#> 2186 23   26     2  1.713620241  0.4424647721 1  1.322015459
#> 2187 23   27     2  1.708432350  0.4783661478 1  1.596271245
#> 2188 23   28     2 -0.250413025  0.4413831984 0 -0.235353355
#> 2189 23   29     2  2.114174605 -0.0137534165 1  1.903526389
#> 2190 23   30     2  3.000671832 -1.4261846729 1  2.818656165
#> 2191 24    1     2           NA -0.4224968323 0  1.290733928
#> 2192 24    2     2  2.118216771 -0.8655128627 1  2.288057725
#> 2193 24    3     2  2.981714282 -0.7385277047 1  2.728620081
#> 2194 24    4     2  2.674991838 -0.2656516253 1  2.309790411
#> 2195 24    5     2  1.114350575  1.5192177114 1  1.154582069
#> 2196 24    6     2  1.452747741 -1.0550170426 0  1.497020300
#> 2197 24    7     2  3.568679003 -1.0056362595 1  3.515922684
#> 2198 24    8     2  2.991228709  0.1213183775 1  3.038357804
#> 2199 24    9     2  3.057727747  0.1279929657 1  3.003768684
#> 2200 24   10     2  2.807874010  0.4986580438 1  2.845931149
#> 2201 24   11     2  3.145269772  0.3102302561 1  3.398532306
#> 2202 24   12     2  3.457250159 -0.9968389824 0  3.456560799
#> 2203 24   13     2  2.139766981  1.3995761854 1  2.097335116
#> 2204 24   14     2  5.033727590 -1.1766921577 1  4.761824719
#> 2205 24   15     2  2.283723836  1.5164906017 1  2.507725624
#> 2206 24   16     2 -0.404540086  1.2209637083 0 -0.464594392
#> 2207 24   17     2  2.457247467 -0.2213261532 1  2.491027635
#> 2208 24   18     2  3.988043320 -0.5167594497 1  4.025599212
#> 2209 24   19     2  4.396822980 -0.4580180681 1  4.285798855
#> 2210 24   20     2  4.006631626 -1.6918624149 0  4.434420533
#> 2211 24   21     2  4.812077640 -0.9823706359 1  4.909855924
#> 2212 24   22     2  4.004876462 -0.4679259739 1  4.262650618
#> 2213 24   23     2  5.251351981 -1.8248975842 1  5.456776809
#> 2214 24   24     2  5.944166881 -2.3137357739 1  5.733950647
#> 2215 24   25     2  1.389818626 -0.2142115342 0  1.798772857
#> 2216 24   26     2  1.736567267  0.5572457464 1  1.988073597
#> 2217 24   27     2  1.874652744  0.3935663730 1  1.767085810
#> 2218 24   28     2 -0.699566280  1.1837459123 0 -0.904679485
#> 2219 24   29     2  2.350875500 -0.3075569096 1  2.496395032
#> 2220 24   30     2  2.607834526  0.4402989420 1  2.655353903
#> 2221 25    1     2           NA -2.0532472215 0 -0.493723874
#> 2222 25    2     2  1.976207016 -0.2362795689 1  1.972207329
#> 2223 25    3     2  2.852366105 -0.5743886898 1  2.683492245
#> 2224 25    4     2  2.403263553  0.1181445110 1  2.424548819
#> 2225 25    5     2  2.252700877  0.3773879730 1  2.246276361
#> 2226 25    6     2  2.135306827  0.4761332783 1  2.314355110
#> 2227 25    7     2  0.718973360  0.0192592746 0  0.935924813
#> 2228 25    8     2  1.876994258  0.7128423200 1  1.994553941
#> 2229 25    9     2  1.237135683  1.9458512177 1  0.955075416
#> 2230 25   10     2  3.742531309 -1.0389564403 1  3.627609079
#> 2231 25   11     2  5.602656200 -1.3538343357 1  5.562391321
#> 2232 25   12     2  6.712253221 -1.0416888590 1  6.681169923
#> 2233 25   13     2  6.039668958 -0.0560559462 1  6.019693915
#> 2234 25   14     2  7.259350763 -1.3182207275 1  7.407475906
#> 2235 25   15     2  5.918052674 -0.1917748091 1  5.894224875
#> 2236 25   16     2  3.995318023  0.5412841435 1  3.833058431
#> 2237 25   17     2  1.934617595 -0.0110458298 0  1.855671286
#> 2238 25   18     2  1.111069339  1.5123954268 1  0.992149868
#> 2239 25   19     2  1.539484305  0.9356036838 1  1.215189372
#> 2240 25   20     2  1.868303992  0.6597918995 1  2.172369343
#> 2241 25   21     2  2.270126845 -1.0229838421 0  2.267650415
#> 2242 25   22     2  2.060446584  0.6069301362 1  1.943605073
#> 2243 25   23     2  2.705419649 -0.2038564714 1  2.542782506
#> 2244 25   24     2  4.191483100 -1.3648316972 1  4.517056230
#> 2245 25   25     2  3.073365321 -0.1125595515 1  3.098932042
#> 2246 25   26     2  2.019998990  0.6393564920 1  1.866720611
#> 2247 25   27     2  2.225703999 -2.6953293691 0  2.404285404
#> 2248 25   28     2  2.582971224 -0.7715014411 1  2.648557046
#> 2249 25   29     2  1.726990540  0.4143081641 1  1.396355236
#> 2250 25   30     2  2.927869396 -0.7926116508 1  3.237294967
#> 2251 26    1     2           NA  1.1313372134 0  0.394970678
#> 2252 26    2     2  1.884083279 -0.1971758943 1  2.328691773
#> 2253 26    3     2  1.489491983 -1.3170161323 0  1.863774569
#> 2254 26    4     2  0.139468963  0.1340386454 0  0.222564336
#> 2255 26    5     2  3.958396184 -2.0522228204 1  3.927624317
#> 2256 26    6     2 -0.580694209  1.3785701370 0 -0.387357308
#> 2257 26    7     2  1.170373994 -1.0774206531 0  0.886974749
#> 2258 26    8     2 -0.313760546  0.7788600298 0 -0.205542322
#> 2259 26    9     2 -0.444797931  0.8009143396 0 -0.026344046
#> 2260 26   10     2  2.428615694 -0.2262219814 1  2.249833490
#> 2261 26   11     2  3.580179161 -1.9429564136 0  3.541122353
#> 2262 26   12     2  2.676664853 -0.4145887264 0  2.326316097
#> 2263 26   13     2  0.765701788  0.5249142793 0  0.605709146
#> 2264 26   14     2  3.404692612 -0.5929973657 1  3.508110587
#> 2265 26   15     2  3.393953894  0.2838789064 1  3.669138763
#> 2266 26   16     2  3.074254585  0.4573573316 1  2.957322624
#> 2267 26   17     2  4.237618675 -0.5754176413 1  4.308346790
#> 2268 26   18     2  4.961230344 -0.7694849229 1  4.775235103
#> 2269 26   19     2  3.530956561 -1.1368931117 0  3.989694594
#> 2270 26   20     2  4.928074876 -1.0236235889 1  4.810012868
#> 2271 26   21     2  4.507811960 -0.6934146633 1  4.829779633
#> 2272 26   22     2  1.953627244  1.1684883087 1  2.009580953
#> 2273 26   23     2  4.782301150 -1.9344440707 1  4.862253692
#> 2274 26   24     2  2.953789422 -0.0724869100 1  3.048628984
#> 2275 26   25     2  4.539846046 -1.8636669825 1  4.230837194
#> 2276 26   26     2  4.517357198 -1.9686615567 1  4.382825491
#> 2277 26   27     2  2.226889331  0.3683773285 1  2.214127125
#> 2278 26   28     2  1.517547495  0.7296891914 1  1.855691607
#> 2279 26   29     2  1.240396661  0.9890579202 1  1.355149532
#> 2280 26   30     2  2.554208755  0.2823102145 1  2.325596505
#> 2281 27    1     2           NA -1.4606400709 0  1.181617853
#> 2282 27    2     2  0.026175382  1.1099202897 0  0.166619837
#> 2283 27    3     2  2.309801893 -0.1829253884 1  2.630112311
#> 2284 27    4     2  2.468448313  0.2210194686 1  2.453704199
#> 2285 27    5     2  4.005777404 -1.3640374521 1  3.717866245
#> 2286 27    6     2  0.644369912  0.4562364032 0  0.744338903
#> 2287 27    7     2  1.708982958  0.7127033252 1  1.643316516
#> 2288 27    8     2  2.016407747  0.9147732709 1  2.264268032
#> 2289 27    9     2  2.173540602  1.1652533899 1  2.150408103
#> 2290 27   10     2  2.878051840  0.3814258295 1  3.215109686
#> 2291 27   11     2  4.080021215 -0.1163025172 1  4.046031707
#> 2292 27   12     2  4.982510252 -0.2390290682 1  5.059313685
#> 2293 27   13     2  4.364616245  0.6220332359 1  4.315941736
#> 2294 27   14     2  3.560703775  0.7973805005 1  3.229275631
#> 2295 27   15     2  4.443221996 -1.7510675194 0  4.300545102
#> 2296 27   16     2  3.798069542 -1.0381310397 0  3.728188422
#> 2297 27   17     2  5.003588142 -0.6868156524 1  4.676878493
#> 2298 27   18     2  4.487551513 -0.0820869038 1  4.368678078
#> 2299 27   19     2  3.819638629  0.2669182509 1  4.135424989
#> 2300 27   20     2  3.132567763 -0.8915215744 0  3.278090164
#> 2301 27   21     2  2.458898523 -0.7679895731 0  2.520318962
#> 2302 27   22     2  4.019995222 -0.8225014128 1  3.560276081
#> 2303 27   23     2  3.403585831 -0.3105101158 1  3.297006722
#> 2304 27   24     2  3.152536930 -0.2652837749 1  3.006166813
#> 2305 27   25     2  1.871364563  0.8376299342 1  1.717286038
#> 2306 27   26     2  0.643026596 -0.1488163614 0  0.756732447
#> 2307 27   27     2  3.800270327 -2.1684177473 1  3.674816865
#> 2308 27   28     2  2.700790238 -0.5870856158 1  2.821315186
#> 2309 27   29     2  0.319048758 -0.1838583105 0  0.392670333
#> 2310 27   30     2  3.056532963 -0.7406905222 1  3.047715983
#> 2311 28    1     2           NA  0.7399475109 1 -0.511832695
#> 2312 28    2     2  1.906504159  0.0847372922 1  1.948308650
#> 2313 28    3     2 -0.050121994  0.4189824049 0 -0.056381200
#> 2314 28    4     2  0.565559760  1.6408461660 1  0.631243908
#> 2315 28    5     2  2.473846153 -0.2007810156 1  2.193350462
#> 2316 28    6     2  3.793086498 -1.1355884704 1  3.865102067
#> 2317 28    7     2 -0.120329224  1.0847750899 0 -0.353033224
#> 2318 28    8     2  0.840590144 -0.5743945522 0  1.134002163
#> 2319 28    9     2  2.413607222  0.3588557231 1  2.249697583
#> 2320 28   10     2  1.950812589 -0.7835157890 0  2.037355664
#> 2321 28   11     2  1.845033863  1.1393962917 1  1.944446168
#> 2322 28   12     2  0.736467250  0.4836175338 0  0.550520573
#> 2323 28   13     2  2.818990542 -0.0966860732 1  2.992064284
#> 2324 28   14     2  6.665655538 -1.9582051747 1  6.597224703
#> 2325 28   15     2  4.450759586 -0.8186697775 0  4.684353192
#> 2326 28   16     2  5.131878322 -0.6045132303 1  5.164484542
#> 2327 28   17     2  5.433538910 -0.7207736318 1  5.119595773
#> 2328 28   18     2  1.340059089  0.7871336143 0  1.219254080
#> 2329 28   19     2  2.278872341  0.4283320395 1  2.810342695
#> 2330 28   20     2  0.079399891  0.9183411710 0  0.018980898
#> 2331 28   21     2  0.645610734  1.2990499667 1  0.594912616
#> 2332 28   22     2  2.688490118 -0.3070365586 1  2.774142724
#> 2333 28   23     2  3.176256350 -0.4222270032 1  3.255420001
#> 2334 28   24     2  2.160644515 -1.2008693282 0  2.299501428
#> 2335 28   25     2  4.046729355 -1.4434928889 1  4.343949626
#> 2336 28   26     2  2.758622627  0.1124638126 1  2.896172065
#> 2337 28   27     2  1.900468705  0.6598043769 1  1.656336311
#> 2338 28   28     2  2.064294276  0.0007641864 1  2.022090205
#> 2339 28   29     2 -0.048711680  0.1637614068 0 -0.171835105
#> 2340 28   30     2  2.817206761 -0.5233416827 1  2.587321687
#> 2341 29    1     2           NA  1.9091035692 1 -0.134967649
#> 2342 29    2     2  1.768155594  0.7540537852 1  1.542097396
#> 2343 29    3     2 -0.081293098  0.3243043442 0 -0.255160874
#> 2344 29    4     2  2.174909134 -0.2190503789 1  2.330109561
#> 2345 29    5     2  1.744179900  0.8657794043 1  1.541033414
#> 2346 29    6     2  2.893379996 -0.4356454697 1  2.991987081
#> 2347 29    7     2  5.326660157 -2.2249876965 1  5.060665189
#> 2348 29    8     2  1.924032894  1.6268812142 1  1.734716060
#> 2349 29    9     2  3.399098837 -0.6085571783 1  3.549257547
#> 2350 29   10     2  2.946160777  0.5829914057 1  3.447564928
#> 2351 29   11     2  1.080102080  0.6361240352 0  1.390822100
#> 2352 29   12     2  1.510043938 -0.3213248422 0  1.413953137
#> 2353 29   13     2  3.209032454 -0.0752631976 1  3.173296245
#> 2354 29   14     2  4.638359630 -1.8863251587 0  4.791948406
#> 2355 29   15     2  4.368358658  0.0562148494 1  4.071681318
#> 2356 29   16     2  5.072896377 -0.7646060138 1  4.976238885
#> 2357 29   17     2  4.595647717 -0.2145045154 1  4.930982124
#> 2358 29   18     2  5.675651608 -1.0585905359 1  5.825409140
#> 2359 29   19     2  4.414305925  0.0549119698 1  4.585682912
#> 2360 29   20     2  4.455777491 -0.4527006465 1  4.638737044
#> 2361 29   21     2 -0.289470169  1.5791455618 0 -0.353685999
#> 2362 29   22     2  0.281198674  1.4397612584 1  0.009730542
#> 2363 29   23     2  1.056499186  0.6818296904 1  1.223436608
#> 2364 29   24     2  2.656232414 -1.9915381760 0  2.403580910
#> 2365 29   25     2  2.673684603 -0.2085701624 1  3.076412482
#> 2366 29   26     2  1.887250357  0.7246762026 1  1.684265838
#> 2367 29   27     2  0.504314408 -0.4539137334 0  0.516022025
#> 2368 29   28     2  0.616861573  2.2144653193 1  0.565471688
#> 2369 29   29     2  1.936835675  0.2169363441 1  1.979448586
#> 2370 29   30     2  2.339195806  1.7693659170 1  2.375152709
#> 2371 30    1     2           NA -1.4438931610 0  0.350256180
#> 2372 30    2     2  0.282455889 -0.4992920172 0  0.101164906
#> 2373 30    3     2  2.861388920 -0.7815364871 1  2.639033037
#> 2374 30    4     2  2.531844793  0.1680653839 1  2.729897074
#> 2375 30    5     2  2.918970075 -0.1018832557 1  2.986038287
#> 2376 30    6     2  2.600611019  0.3461036196 1  2.575374668
#> 2377 30    7     2 -0.404871125  1.2356934623 0 -0.407634197
#> 2378 30    8     2  2.804332440 -0.3809567393 1  2.819425320
#> 2379 30    9     2  1.582916230 -0.2022408551 0  1.523513479
#> 2380 30   10     2  4.406346182 -1.3165104017 1  4.525451388
#> 2381 30   11     2  5.144420181 -0.4929374242 1  5.054046684
#> 2382 30   12     2  8.048076378 -2.0784892689 1  8.056385538
#> 2383 30   13     2  3.429823721  1.0191570693 0  3.474502479
#> 2384 30   14     2  5.231753894 -0.6537798248 1  5.190767282
#> 2385 30   15     2  4.435921823  0.2990869033 1  4.532267589
#> 2386 30   16     2  3.833267110  0.3952958700 1  3.813537991
#> 2387 30   17     2  0.132472098  1.3681326480 0  0.012395472
#> 2388 30   18     2  0.399238596  1.6551758157 1  0.274649495
#> 2389 30   19     2  0.293462604  1.8221888218 1  0.124594295
#> 2390 30   20     2  4.905910448 -1.7483722800 1  4.884735753
#> 2391 30   21     2  2.201875714 -0.1568919530 0  2.344152065
#> 2392 30   22     2  5.643952747 -2.1989232542 1  5.764130141
#> 2393 30   23     2  2.278453699  1.0094961857 1  2.450743560
#> 2394 30   24     2  3.089268044 -0.3543692199 1  3.119743190
#> 2395 30   25     2  3.311176575 -0.4385634621 1  3.293552022
#> 2396 30   26     2  3.921171238 -1.1874860760 1  3.902174195
#> 2397 30   27     2  3.248212146 -0.6949368252 1  3.042991243
#> 2398 30   28     2  1.733370479  0.9694343957 1  1.665469149
#> 2399 30   29     2 -0.224125687  0.7292776342 0  0.023791802
#> 2400 30   30     2  2.755494840  0.6682826189 1  2.474355151
#> 2401 31    1     2           NA  0.7017843354 1  0.225879222
#> 2402 31    2     2  2.001640423  0.2144453096 1  1.916633719
#> 2403 31    3     2  1.127045191 -0.7886219709 0  1.547678151
#> 2404 31    4     2  1.330062026  1.1683838731 1  0.935070364
#> 2405 31    5     2  1.847837112  0.6241874720 1  1.768719524
#> 2406 31    6     2  3.272196068 -0.6470456313 1  3.107977733
#> 2407 31    7     2  2.386690559 -1.2410444968 0  2.800663597
#> 2408 31    8     2  3.187487353 -0.1057841676 1  3.119752318
#> 2409 31    9     2  1.609105802 -0.2732481068 0  1.739744951
#> 2410 31   10     2  5.889456033 -2.8097746790 1  5.604058189
#> 2411 31   11     2  3.954431567 -0.8341882316 0  4.001727980
#> 2412 31   12     2  2.678414467 -0.0914342756 0  2.826840780
#> 2413 31   13     2  0.966618007  0.7116019225 0  1.251233498
#> 2414 31   14     2  2.516402459  0.3943948480 1  2.531244927
#> 2415 31   15     2  2.647407484 -0.7593981173 0  2.408047260
#> 2416 31   16     2  4.834619973 -0.9905076305 1  4.609879820
#> 2417 31   17     2  2.756058150  1.0490866266 1  2.707329037
#> 2418 31   18     2  2.619108555  0.6757624155 1  2.591388145
#> 2419 31   19     2  4.759679136 -1.0223473286 1  4.606799621
#> 2420 31   20     2  1.597078376  1.7699041099 1  1.584354972
#> 2421 31   21     2  1.315594474 -0.3589365606 0  1.066099209
#> 2422 31   22     2  2.907757417 -0.3198377917 1  2.849215866
#> 2423 31   23     2  3.654346603 -0.7261049649 1  3.321132455
#> 2424 31   24     2 -0.068695795  0.6534957657 0  0.031310836
#> 2425 31   25     2  2.286212154 -0.2185938169 1  2.160794106
#> 2426 31   26     2  2.930654727 -0.4996001898 1  2.837995016
#> 2427 31   27     2  2.452690838 -0.0068463032 1  2.439678643
#> 2428 31   28     2  1.708455038  0.7680077137 1  1.897904115
#> 2429 31   29     2  1.357054932  1.1113804070 1  1.212107658
#> 2430 31   30     2  3.279047016 -2.1448970243 1  3.327707419
#> 2431 32    1     2           NA -0.2621974894 1 -0.774315250
#> 2432 32    2     2  2.000701308 -0.3246859115 1  2.250990083
#> 2433 32    3     2  2.865674032 -0.5021987183 1  2.862537957
#> 2434 32    4     2  1.612100488  1.0541810234 1  1.866054448
#> 2435 32    5     2  1.658715110  0.9590053778 1  1.320106432
#> 2436 32    6     2  4.717468801 -2.1576463350 1  4.936616098
#> 2437 32    7     2  2.852289200  0.4547692690 1  3.183445013
#> 2438 32    8     2  1.766572441  1.4040502677 1  1.597487187
#> 2439 32    9     2  3.312628222 -0.4686997798 1  3.290852338
#> 2440 32   10     2  3.051308049  0.4649679908 1  2.924764727
#> 2441 32   11     2  3.336867095  0.2710667568 1  3.375022340
#> 2442 32   12     2  2.533254427  1.1871868107 1  2.489455264
#> 2443 32   13     2  2.322268587  0.9902622460 1  1.863077810
#> 2444 32   14     2  4.650244212 -0.9135660482 1  4.706770173
#> 2445 32   15     2 -1.237730010  2.6848589992 0 -1.369731216
#> 2446 32   16     2 -0.925412311  0.5620413901 0 -0.895462912
#> 2447 32   17     2  2.596722564 -0.3599751179 1  2.428332091
#> 2448 32   18     2  4.819179867 -1.0742066095 1  4.638538394
#> 2449 32   19     2  3.331391639  0.6061302614 1  3.094502473
#> 2450 32   20     2  6.603432922 -2.3774069254 1  6.860650772
#> 2451 32   21     2  4.850206232 -0.3290388304 1  4.935762399
#> 2452 32   22     2 -0.906368409  2.0647042841 0 -1.124670209
#> 2453 32   23     2  0.696128937  0.8061088684 1  0.572483135
#> 2454 32   24     2 -2.118333020  1.7732386319 0 -1.844184207
#> 2455 32   25     2  0.001256546  1.4599659447 1  0.013236477
#> 2456 32   26     2  2.964354631 -1.0736429908 1  3.227923177
#> 2457 32   27     2 -0.506956270  1.3730520450 0 -0.572091424
#> 2458 32   28     2  0.690954805 -1.1083279118 0  0.719179910
#> 2459 32   29     2  1.960239072  0.2791608169 1  1.844656499
#> 2460 32   30     2  0.791838534  0.1264124161 0  0.457236522
#> 2461 33    1     2           NA -1.5721441591 1  0.730815610
#> 2462 33    2     2  2.071514222  0.0945835282 1  2.156409382
#> 2463 33    3     2 -0.909579790  1.4960606698 0 -1.012958192
#> 2464 33    4     2  0.946421749  1.1452631104 1  0.718494812
#> 2465 33    5     2  0.878635915  1.6710548289 1  1.267905783
#> 2466 33    6     2 -0.381151348  0.8842508200 0 -0.546925839
#> 2467 33    7     2 -0.599649744  0.6599026381 0 -0.580678594
#> 2468 33    8     2  1.025428042  1.2940839061 1  1.013614954
#> 2469 33    9     2  2.163183229  0.7041672839 1  2.138866090
#> 2470 33   10     2  0.343571300  0.8405398270 0  0.443547806
#> 2471 33   11     2  0.431984717  0.1573533472 0  0.165443273
#> 2472 33   12     2  0.896659747  1.1916012685 1  0.861850353
#> 2473 33   13     2 -0.498063450  2.3829266952 1 -0.539679518
#> 2474 33   14     2  0.943744215  0.8867490371 1  1.096938549
#> 2475 33   15     2  3.586094901 -0.4583901391 1  3.335845992
#> 2476 33   16     2  5.407134215 -1.1164164119 1  5.657237959
#> 2477 33   17     2  7.097829910 -1.6859164545 1  7.142639539
#> 2478 33   18     2  4.620520585  0.4545778091 1  4.691056849
#> 2479 33   19     2  2.343443005 -0.0889305675 0  2.297103969
#> 2480 33   20     2  2.432946608  0.5728115299 1  2.631797739
#> 2481 33   21     2  3.093062453  0.0692364779 1  3.475345465
#> 2482 33   22     2 -1.411669538  2.1935900691 0 -1.349316782
#> 2483 33   23     2 -0.090392249  1.4243231097 1  0.116477028
#> 2484 33   24     2  2.073291790 -0.0384567937 1  2.018936783
#> 2485 33   25     2  1.155866085 -0.5820599179 0  1.203603480
#> 2486 33   26     2  1.313547076  1.0572402127 1  1.094781129
#> 2487 33   27     2  2.645507116 -0.6353230772 1  2.893716628
#> 2488 33   28     2  2.696567651 -0.7862359200 1  2.575455719
#> 2489 33   29     2  0.173063715 -0.0761706715 0  0.657281106
#> 2490 33   30     2  0.939558233 -0.4518129363 0  0.900299606
#> 2491 34    1     2           NA -1.5146676538 1  0.545635528
#> 2492 34    2     2  2.306891363 -0.8953633580 1  2.217106953
#> 2493 34    3     2  3.563651796 -1.1373036207 1  3.751334774
#> 2494 34    4     2  3.354382397 -0.5774680011 1  3.216412005
#> 2495 34    5     2  2.820712318  0.0560167333 1  2.872600028
#> 2496 34    6     2  3.767468369 -0.8294776116 1  3.590957875
#> 2497 34    7     2  1.414591699 -0.1998898281 0  1.297682778
#> 2498 34    8     2  3.871630963 -1.0899918724 1  4.181710220
#> 2499 34    9     2  2.802275711 -1.1973635024 0  2.781511015
#> 2500 34   10     2  3.760279790 -0.2858454236 1  3.641232016
#> 2501 34   11     2  3.346284702  0.6297117467 1  3.200852695
#> 2502 34   12     2  5.272323616 -0.7889632181 1  5.601350542
#> 2503 34   13     2  4.572046038  0.6644158637 1  4.601050949
#> 2504 34   14     2  4.344184599  0.3333699702 1  4.596488105
#> 2505 34   15     2  4.466918671  0.0642435566 1  4.386887499
#> 2506 34   16     2 -0.282140124  1.8285304581 0 -0.561405287
#> 2507 34   17     2  3.541537480 -0.8445834285 1  3.675179663
#> 2508 34   18     2  2.286728315 -0.2133071432 0  1.906693552
#> 2509 34   19     2  1.617326312 -0.2608322438 0  1.822836411
#> 2510 34   20     2  1.742306750  1.0172492491 1  1.749611420
#> 2511 34   21     2  0.876366060  0.0969042337 0  0.931491498
#> 2512 34   22     2  0.404738170  0.1565953234 0  0.421396065
#> 2513 34   23     2  1.242505960 -0.7841440048 0  1.549654212
#> 2514 34   24     2  0.545004185  1.4931848406 1  0.537902230
#> 2515 34   25     2  1.123643258 -0.7830975957 0  0.883821973
#> 2516 34   26     2  1.108021165  1.2790725832 1  1.313973884
#> 2517 34   27     2  1.873240964  0.5581032939 1  1.917680299
#> 2518 34   28     2  0.840286918  2.2841164803 1  0.599186770
#> 2519 34   29     2 -0.651408134  1.3946631322 0 -0.643667236
#> 2520 34   30     2  3.093788883 -1.1366261878 1  3.245585421
#> 2521 35    1     2           NA -1.6015361736 0 -0.288449296
#> 2522 35    2     2  0.326259755 -1.3108015333 0  0.520033920
#> 2523 35    3     2  2.323920114 -0.1790515944 1  2.161148748
#> 2524 35    4     2  0.729821985  2.0024827303 1  0.614558671
#> 2525 35    5     2  2.462246382 -0.0519819062 1  2.841911547
#> 2526 35    6     2  3.464537064 -0.5735602708 1  3.652983216
#> 2527 35    7     2  3.874090757 -0.6451139569 1  3.853690025
#> 2528 35    8     2  4.242706346 -0.8730710004 1  3.813704935
#> 2529 35    9     2  0.830370118  0.8663661321 0  0.817677292
#> 2530 35   10     2  0.259889792  0.5041262546 0  0.298513138
#> 2531 35   11     2  3.048924158 -0.3957979503 1  3.064489834
#> 2532 35   12     2  6.210988607 -1.5477765436 1  6.319469444
#> 2533 35   13     2  5.583365805  0.2073811574 1  5.449623847
#> 2534 35   14     2  5.453902814 -0.1706396182 1  5.648709096
#> 2535 35   15     2  4.083641650  0.6497918672 1  3.986807522
#> 2536 35   16     2  3.454256706  0.4605913495 1  3.223453374
#> 2537 35   17     2  4.428497597 -0.4577605332 1  4.397525786
#> 2538 35   18     2  1.826206006  0.3132287720 0  1.194643495
#> 2539 35   19     2  2.349149406  0.4640912339 1  2.439691715
#> 2540 35   20     2  2.155995801 -0.6309678667 0  2.280141749
#> 2541 35   21     2  2.742268038  0.2900343878 1  2.541684790
#> 2542 35   22     2  4.024675541 -0.8636089506 1  4.070171355
#> 2543 35   23     2  3.912301306 -0.6524043665 1  3.760827239
#> 2544 35   24     2  2.769891857  0.0830221576 1  2.873171188
#> 2545 35   25     2  4.380257706 -1.5196539949 1  4.506676320
#> 2546 35   26     2  2.298948566  0.7876767254 1  2.529181897
#> 2547 35   27     2  2.200265045  0.3411578684 1  2.182555233
#> 2548 35   28     2  2.884511020 -1.0933007640 1  3.029357525
#> 2549 35   29     2  1.991767388  0.1645341176 1  1.951911036
#> 2550 35   30     2  2.841974558  0.2097858904 1  2.765903278
#> 2551 36    1     2           NA -0.5309065222 1 -1.222380911
#> 2552 36    2     2  1.693062374  1.9972133847 1  1.874842110
#> 2553 36    3     2  0.726058580  1.9023618217 1  0.812395979
#> 2554 36    4     2  2.310878637  0.0667008709 1  2.131324661
#> 2555 36    5     2  4.308452105 -1.7532373591 1  4.519136843
#> 2556 36    6     2  1.691379423  1.5039006090 1  1.343902608
#> 2557 36    7     2  0.493631607  0.1653210212 0  0.642541171
#> 2558 36    8     2  2.024230424 -1.3580790594 0  1.907708844
#> 2559 36    9     2  2.348911715  0.8641524862 1  2.095975625
#> 2560 36   10     2  2.456340188 -1.1559165251 0  2.502540252
#> 2561 36   11     2  2.526163336  0.8993540532 1  2.583314051
#> 2562 36   12     2 -1.456400374  2.4580604919 0 -1.464995728
#> 2563 36   13     2  4.969669706 -2.2106331106 1  5.025094898
#> 2564 36   14     2  3.883015526  0.8188281365 1  3.586100090
#> 2565 36   15     2  4.169723594 -0.0260186348 1  4.280175845
#> 2566 36   16     2  5.285111033 -0.7010036123 1  5.737613138
#> 2567 36   17     2  2.679763456  0.1036380042 0  2.594629069
#> 2568 36   18     2  3.707606400 -0.0899751970 1  4.006316299
#> 2569 36   19     2  5.380313058 -1.0204005907 1  5.556206448
#> 2570 36   20     2  3.802267248  0.4442870514 1  3.912480485
#> 2571 36   21     2  2.630755172 -0.7466789410 0  2.396564974
#> 2572 36   22     2  0.822469216  0.1654574195 0  0.843642042
#> 2573 36   23     2  1.518644632  0.6507783632 1  1.450357663
#> 2574 36   24     2  2.267076516  0.1155321043 1  2.422866868
#> 2575 36   25     2  1.577361803 -0.8056980816 0  1.767702010
#> 2576 36   26     2  3.617153281 -1.2224033826 1  3.010094280
#> 2577 36   27     2  3.445648171 -1.1795186291 1  3.794109016
#> 2578 36   28     2  2.219621723  0.2144793753 1  1.967209418
#> 2579 36   29     2  1.138873779  1.5778519788 1  1.156057823
#> 2580 36   30     2  2.890646516  0.1299655160 1  2.758905998
#> 2581 37    1     2           NA -1.4617555850 1  0.633333596
#> 2582 37    2     2 -0.023282174  0.6007088237 0 -0.087915593
#> 2583 37    3     2  2.076642525 -0.1009748853 1  2.474779879
#> 2584 37    4     2 -1.128443168  1.8668518447 0 -0.762443949
#> 2585 37    5     2  2.041479207  0.0993275941 1  1.960334136
#> 2586 37    6     2  3.438280678 -0.7741449296 1  3.518772176
#> 2587 37    7     2  2.566552178  0.4388187007 1  2.135799466
#> 2588 37    8     2  0.767359064  0.1818471926 0  0.754335049
#> 2589 37    9     2  3.771196652 -1.1986223591 1  3.691357537
#> 2590 37   10     2  3.829246819 -0.1271486068 1  3.987861425
#> 2591 37   11     2  5.188918710 -0.8308115273 1  5.509128450
#> 2592 37   12     2  3.562320321 -0.1624219425 0  3.704828831
#> 2593 37   13     2 -1.423514870  2.6917140032 0 -1.462506300
#> 2594 37   14     2  1.177468936  0.3883651628 1  1.105741290
#> 2595 37   15     2  3.826706524 -0.6435673870 1  3.807217138
#> 2596 37   16     2  1.662599982  0.2410459325 0  1.772105333
#> 2597 37   17     2  2.125229389 -0.6626072757 0  2.344694487
#> 2598 37   18     2 -0.027244757  1.0705160368 0  0.098012469
#> 2599 37   19     2  4.225468126 -1.3134509165 1  4.235317398
#> 2600 37   20     2  3.249423513  0.4391303884 1  3.400692615
#> 2601 37   21     2  4.462406461 -0.8468963888 1  4.390518775
#> 2602 37   22     2  2.250181546 -0.6527743959 0  2.257076572
#> 2603 37   23     2  0.373854937  0.1830479699 0  0.422624726
#> 2604 37   24     2 -0.308932220  0.3248253133 0  0.109231909
#> 2605 37   25     2  3.338641383 -1.1661847074 1  3.362323618
#> 2606 37   26     2  2.306617659  0.4519521167 1  2.443479443
#> 2607 37   27     2  3.653917900 -1.7410220173 1  3.848532346
#> 2608 37   28     2  1.697885145  0.8925710596 1  1.859483164
#> 2609 37   29     2  0.184205701 -0.0619226576 0  0.192816404
#> 2610 37   30     2  2.853343658 -0.3285065726 1  3.099190213
#> 2611 38    1     2           NA  0.6879167730 0  1.427519656
#> 2612 38    2     2  2.318821391 -1.2512713616 1  2.343075945
#> 2613 38    3     2  3.685279736 -1.3598407038 1  3.624226792
#> 2614 38    4     2  3.925427202 -1.3509026860 1  3.935902780
#> 2615 38    5     2  3.401419348 -0.5718500579 1  3.256981237
#> 2616 38    6     2  1.992905051  0.8457315402 1  1.722707963
#> 2617 38    7     2  1.621601643  0.8833028199 1  1.725735521
#> 2618 38    8     2  2.641024276  0.1648408679 1  2.388517372
#> 2619 38    9     2  2.548528303  0.6394919979 1  2.443151403
#> 2620 38   10     2  5.225218126 -1.9415183760 1  5.171667724
#> 2621 38   11     2  5.097706670 -0.3305447001 1  5.086590319
#> 2622 38   12     2  5.206828557 -0.0974512501 1  5.345038539
#> 2623 38   13     2  5.981094733 -0.4826768218 1  5.885653007
#> 2624 38   14     2  4.011135426 -0.4459350272 0  4.077612990
#> 2625 38   15     2  2.761334645  1.0453056640 1  2.621016136
#> 2626 38   16     2  3.985342954 -0.3524531992 1  4.052029829
#> 2627 38   17     2  1.143350795  2.0066806908 1  1.180873823
#> 2628 38   18     2  2.753927063 -1.3511003857 0  2.853951436
#> 2629 38   19     2  4.138097925 -0.4944808755 1  3.839955982
#> 2630 38   20     2  0.314794528  1.0406231529 0  0.327073473
#> 2631 38   21     2  0.918577661  1.1970776637 1  0.898537031
#> 2632 38   22     2  0.700994878  1.4528172823 1  0.854768081
#> 2633 38   23     2  1.521136510  0.5487749604 1  1.403692741
#> 2634 38   24     2  3.359041605 -0.8705772453 1  3.671210634
#> 2635 38   25     2  2.358655847  0.4079461962 1  2.481221082
#> 2636 38   26     2  1.458235432  1.1504491864 1  1.392567185
#> 2637 38   27     2  3.647375956 -1.9925857712 1  3.648409794
#> 2638 38   28     2 -0.383186869  1.0187579723 0 -0.368474474
#> 2639 38   29     2  1.808969049  0.6139229642 1  1.912354251
#> 2640 38   30     2  2.382038066  1.9727035673 1  2.776344637
#> 2641 39    1     2           NA  2.1001089405 0  1.380517493
#> 2642 39    2     2  2.194820530 -0.6111659167 1  2.346319824
#> 2643 39    3     2  1.067903693 -0.6647694353 0  1.293337231
#> 2644 39    4     2  0.322309490  0.0209835864 0  0.371027524
#> 2645 39    5     2  3.178150025 -0.9740095828 1  2.893168807
#> 2646 39    6     2  4.108981418 -1.2606828788 1  4.178210587
#> 2647 39    7     2  5.498464657 -2.0523369839 1  5.514768911
#> 2648 39    8     2  1.376285337  0.3641146874 0  1.586385000
#> 2649 39    9     2 -1.244870924  2.4302266523 0 -1.393243236
#> 2650 39   10     2 -1.288278180  1.1811808914 0 -1.515913492
#> 2651 39   11     2 -1.208708372  0.7408145237 0 -1.034470519
#> 2652 39   12     2  1.278504655  0.4205741887 1  1.460849259
#> 2653 39   13     2 -0.212271487  2.3747347151 1  0.012746452
#> 2654 39   14     2  0.133619188  0.2311149344 0  0.039725700
#> 2655 39   15     2 -1.795274970  1.6155453232 0 -1.650288932
#> 2656 39   16     2  1.217471946  0.3711479598 1  1.204184675
#> 2657 39   17     2  3.296382078 -0.2722675344 1  3.187901385
#> 2658 39   18     2  4.378601182 -0.5226166972 1  3.897117840
#> 2659 39   19     2  1.564387837  1.7517571498 1  1.542327781
#> 2660 39   20     2  2.249759256  0.4840993880 1  2.390514277
#> 2661 39   21     2  1.775584435 -0.5486273611 0  1.842765790
#> 2662 39   22     2  3.680795642 -0.8064826557 1  3.586070669
#> 2663 39   23     2  1.096749907  1.4046842945 1  0.919980183
#> 2664 39   24     2  0.248792448 -0.0517182129 0  0.412340709
#> 2665 39   25     2  3.047382711 -0.8630042460 1  3.057769749
#> 2666 39   26     2  0.504467735  0.1679409807 0  0.448043839
#> 2667 39   27     2  1.625227836  0.5512742115 1  1.570782797
#> 2668 39   28     2  1.440604964  1.0891120109 1  1.628775145
#> 2669 39   29     2  1.191843700 -1.5460885942 0  0.930108458
#> 2670 39   30     2  1.290633311 -2.2486900668 0  1.642069053
#> 2671 40    1     2           NA -1.2870304760 1  0.872634567
#> 2672 40    2     2  2.248216180 -1.1854800846 1  2.331187363
#> 2673 40    3     2  1.962451804  0.4854599789 1  2.063639466
#> 2674 40    4     2  1.292697030  1.2499145710 1  0.925175719
#> 2675 40    5     2  2.527809557 -0.1799062310 1  2.647081654
#> 2676 40    6     2  1.120996996 -0.3545424031 0  1.208479446
#> 2677 40    7     2  4.306342090 -1.6363792681 1  4.304276450
#> 2678 40    8     2  2.856851291  0.5521577142 1  2.743789709
#> 2679 40    9     2  3.688079546 -0.5572154819 1  3.595297694
#> 2680 40   10     2  1.722490277  1.8599108615 1  1.522332726
#> 2681 40   11     2  1.818219196  0.9899716086 1  1.641533685
#> 2682 40   12     2  5.453289176 -1.6140394566 1  5.439898522
#> 2683 40   13     2  2.797047955  0.3746435680 0  2.937967363
#> 2684 40   14     2  0.966003609  0.6475133580 0  0.506534756
#> 2685 40   15     2  2.661770649 -0.0296939710 1  3.010010078
#> 2686 40   16     2  1.292434179  0.2435327188 0  1.403429430
#> 2687 40   17     2  4.702689983 -1.2139444702 1  4.688749168
#> 2688 40   18     2  2.588864467 -0.2491906778 0  2.674241815
#> 2689 40   19     2  1.350372447  0.0557647746 0  1.261053301
#> 2690 40   20     2  3.111055795 -0.2448837791 1  3.243653924
#> 2691 40   21     2  2.922991497  0.3030456952 1  2.817195774
#> 2692 40   22     2  2.509385884  0.3729115952 1  2.382680719
#> 2693 40   23     2  0.101415922  0.3870831196 0  0.494371248
#> 2694 40   24     2 -1.066001794  0.9084476988 0 -1.435579812
#> 2695 40   25     2  1.347602298  0.3040420350 1  1.398374609
#> 2696 40   26     2  0.806489181 -0.5661093329 0  0.715861050
#> 2697 40   27     2  2.078209663 -0.0347420615 1  2.384552409
#> 2698 40   28     2  2.225409530 -0.1631289899 1  2.468122409
#> 2699 40   29     2  2.113574661 -0.1123919613 1  2.241482886
#> 2700 40   30     2  0.637439806  0.8382193873 0  0.498171021
#> 2701 41    1     2           NA  0.7877388475 1 -0.483135069
#> 2702 41    2     2  1.529800249  2.1988103489 1  1.582592880
#> 2703 41    3     2  2.591193901 -0.3756028717 1  2.442034531
#> 2704 41    4     2  3.114017144 -0.7152421872 1  3.078937533
#> 2705 41    5     2 -0.196766686  1.0149431727 0 -0.032066114
#> 2706 41    6     2  0.271565545 -0.0735560191 0  0.392418736
#> 2707 41    7     2  0.649075420  1.4304023412 1  0.284759931
#> 2708 41    8     2  3.002287776 -0.6018928460 1  2.826765154
#> 2709 41    9     2  2.440470618  0.8449042414 1  2.404949212
#> 2710 41   10     2  2.090009869  1.0740122603 1  2.162816485
#> 2711 41   11     2  5.646915725 -1.9385047015 1  5.304530240
#> 2712 41   12     2  6.144046991 -0.7282191112 1  6.209159068
#> 2713 41   13     2  3.487205026  1.5384301989 1  3.470670905
#> 2714 41   14     2  3.602716640  0.3562833449 1  3.442138805
#> 2715 41   15     2  3.113044496  0.5622673454 1  3.338063660
#> 2716 41   16     2  5.178729171 -1.0141141727 1  5.232285747
#> 2717 41   17     2  4.636833394 -0.1412617573 1  4.439237368
#> 2718 41   18     2  5.450938535 -0.9957987249 1  5.529304524
#> 2719 41   19     2  3.989334753  0.3314343982 1  3.926001949
#> 2720 41   20     2  2.443716953  0.9159920579 1  2.607792261
#> 2721 41   21     2  3.161256001 -0.0569705338 1  3.076005813
#> 2722 41   22     2  2.265783794  0.6198500746 1  2.451503201
#> 2723 41   23     2 -0.744532442  1.0517012702 0 -0.413077367
#> 2724 41   24     2  2.760909268 -0.7497257869 1  2.899979825
#> 2725 41   25     2  2.759013365 -0.1464274878 1  2.688992106
#> 2726 41   26     2  1.540813039 -1.0861182406 0  1.579737781
#> 2727 41   27     2  0.820320325  1.8505717036 1  0.718656001
#> 2728 41   28     2  0.551329965 -0.8209866971 0  0.272285908
#> 2729 41   29     2  0.189793404 -0.0217945400 0  0.310082380
#> 2730 41   30     2  0.811759418 -0.2890232705 0  0.479430513
#> 2731 42    1     2           NA  0.7690422410 1 -0.531346919
#> 2732 42    2     2 -0.226194160  1.3124129764 0  0.062147889
#> 2733 42    3     2  2.527991947 -0.5618763635 1  2.672862760
#> 2734 42    4     2  3.245951239 -0.7526889682 1  3.282183717
#> 2735 42    5     2  4.602537347 -1.9927484887 1  4.397119647
#> 2736 42    6     2  4.338104045 -1.1686514244 1  4.126102345
#> 2737 42    7     2  2.026362159  1.0466288471 1  1.959526462
#> 2738 42    8     2  3.846992366 -0.9936985911 1  3.698923196
#> 2739 42    9     2  2.212721097 -0.7822018456 0  1.919052614
#> 2740 42   10     2  3.104509958 -0.0273469664 1  3.252351104
#> 2741 42   11     2  1.740802204  0.1071904070 0  1.332755917
#> 2742 42   12     2  3.257885109 -1.5404424053 0  3.594173670
#> 2743 42   13     2  4.527935210 -0.1097103212 1  4.411262364
#> 2744 42   14     2  5.577352278 -0.6580102079 1  5.760868987
#> 2745 42   15     2  5.116938829 -0.0974124985 1  4.866657153
#> 2746 42   16     2  3.564918762 -0.7913138788 0  3.460061332
#> 2747 42   17     2  5.245791560 -1.0053775816 1  5.225477887
#> 2748 42   18     2  5.869442453 -1.0399550438 1  5.818535967
#> 2749 42   19     2  4.839977535 -0.1898466377 1  5.289613510
#> 2750 42   20     2  1.147337843  0.8006223565 0  1.379254247
#> 2751 42   21     2  3.974232507 -0.9578493922 1  4.146011232
#> 2752 42   22     2  2.307317701 -0.7575101607 0  2.549584097
#> 2753 42   23     2  1.859534217  0.6229054623 1  1.615322031
#> 2754 42   24     2  2.738157173 -0.3216060699 1  2.874733392
#> 2755 42   25     2  4.226952231 -1.4335621799 1  4.430548364
#> 2756 42   26     2  3.558895789 -0.6653027956 1  3.619720266
#> 2757 42   27     2  2.148794926  0.5736751083 1  2.070565519
#> 2758 42   28     2  2.340086893 -0.3072572330 1  2.546915862
#> 2759 42   29     2  0.619392104 -0.7583454174 0  0.663052448
#> 2760 42   30     2  2.651348876  0.6565134106 1  2.695490298
#> 2761 43    1     2           NA  0.3322025790 1 -0.587684757
#> 2762 43    2     2  1.922513698 -0.2651450567 1  1.905737844
#> 2763 43    3     2  0.599730906 -0.3439172341 0  0.401646703
#> 2764 43    4     2  2.929910194 -0.9385387036 1  3.024391310
#> 2765 43    5     2  3.028499172 -0.4272792872 1  2.709158525
#> 2766 43    6     2  3.332172657 -0.6347482649 1  3.595197334
#> 2767 43    7     2  2.477036411  0.4352889489 1  2.157294483
#> 2768 43    8     2  1.810137149  1.0267850561 1  1.907173144
#> 2769 43    9     2  1.906353551  1.1107114182 1  1.506278500
#> 2770 43   10     2  0.880865002 -0.0333303423 0  0.798629948
#> 2771 43   11     2  1.885812651  0.6087790117 1  2.062074785
#> 2772 43   12     2  4.343382624 -0.6930946140 1  4.204229348
#> 2773 43   13     2  1.873064583  0.5114707547 0  1.528279658
#> 2774 43   14     2  1.878654032  0.8552022051 1  1.877740137
#> 2775 43   15     2 -0.236055895  1.0164552177 0 -0.042726144
#> 2776 43   16     2  1.882837081  0.2995936847 1  1.814778887
#> 2777 43   17     2  2.832126905  0.1561557073 1  2.650653581
#> 2778 43   18     2  3.410274945 -0.0179802406 1  3.523583218
#> 2779 43   19     2  3.023022486  0.4704927320 1  3.150593822
#> 2780 43   20     2  4.612671555 -0.9365690341 1  4.771100577
#> 2781 43   21     2  2.966037458  0.5910619094 1  2.934039629
#> 2782 43   22     2  1.897099535  0.8515246815 1  1.991874639
#> 2783 43   23     2  1.853492287  0.4336203898 1  1.499335888
#> 2784 43   24     2  1.659707361 -1.1477707505 0  1.454364446
#> 2785 43   25     2  3.104567271 -0.7906077857 1  3.109193190
#> 2786 43   26     2  1.899637396  0.7148483559 1  1.968798561
#> 2787 43   27     2  1.566879832  0.8496958911 1  1.760729567
#> 2788 43   28     2  0.602645661 -0.9020980085 0  0.718964812
#> 2789 43   29     2  2.783063394 -1.0358928844 1  2.847289954
#> 2790 43   30     2  0.865752703 -0.4539977006 0  0.858035852
#> 2791 44    1     2           NA -1.0083766083 1 -0.411697869
#> 2792 44    2     2  0.103957501  0.5431940592 0  0.063826419
#> 2793 44    3     2  0.136435142  0.0904966471 0  0.089140543
#> 2794 44    4     2  1.299532802 -1.0525132793 0  1.048845685
#> 2795 44    5     2  2.503675639  0.1166372836 1  2.666394564
#> 2796 44    6     2  2.985330273 -0.0288415529 1  3.305391576
#> 2797 44    7     2  2.386540667  0.7151784071 1  2.439196228
#> 2798 44    8     2  2.439923094  0.7510613026 1  2.797224072
#> 2799 44    9     2  1.231814306  0.2498247199 0  1.553537517
#> 2800 44   10     2  4.679241105 -1.5160676232 1  4.814416950
#> 2801 44   11     2  4.522323147 -1.4508243135 0  4.646040962
#> 2802 44   12     2  4.879408402  0.1188494330 1  5.174614139
#> 2803 44   13     2  3.112026787  0.2139579796 0  2.971407060
#> 2804 44   14     2  2.460069466  1.1529362256 1  2.202240715
#> 2805 44   15     2  5.207111264 -1.1561673943 1  5.072433184
#> 2806 44   16     2  2.334065070  1.6390519088 1  2.306544278
#> 2807 44   17     2  3.205074436  0.2336336141 1  3.529838909
#> 2808 44   18     2  4.190644488 -0.1321751329 1  4.416696339
#> 2809 44   19     2  5.510643247 -0.9516795430 1  5.543852793
#> 2810 44   20     2  6.341363959 -1.4007874340 1  6.493606177
#> 2811 44   21     2  4.318529451  0.1731048735 1  4.470957138
#> 2812 44   22     2  4.543033973 -0.7479299709 1  4.698091051
#> 2813 44   23     2  2.868863267  0.3860844382 1  2.945911776
#> 2814 44   24     2  2.372554621  0.3543521964 1  2.345839108
#> 2815 44   25     2  1.749514707  0.8851124551 1  1.659672519
#> 2816 44   26     2  2.938081050 -0.4316611004 1  2.931362477
#> 2817 44   27     2  1.661660844  1.3343835853 1  1.625903072
#> 2818 44   28     2 -0.044571840  0.6270687431 0 -0.052418644
#> 2819 44   29     2  1.761448196  0.9481593026 1  1.734149194
#> 2820 44   30     2  3.133536181 -0.5938645624 1  3.353354914
#> 2821 45    1     2           NA -0.1194526066 1  0.709185621
#> 2822 45    2     2  2.178915694 -0.4143399479 1  2.420382191
#> 2823 45    3     2  1.038066102  1.5985087711 1  1.239399029
#> 2824 45    4     2  0.789007787 -0.4371595332 0  0.992231284
#> 2825 45    5     2  3.267913988 -0.8932075701 1  3.042495897
#> 2826 45    6     2  2.189014479  0.6706959687 1  2.275330495
#> 2827 45    7     2  1.771659695  0.9171749176 1  1.706442200
#> 2828 45    8     2  4.328908914 -1.5091665373 1  4.468813255
#> 2829 45    9     2  2.259153631  1.6519153916 1  2.294499256
#> 2830 45   10     2  0.465291606  0.7903853439 0  0.973971034
#> 2831 45   11     2  0.295319572  0.4806255999 0  0.300797979
#> 2832 45   12     2  4.488900736 -1.3647094580 1  4.421176290
#> 2833 45   13     2  3.143312174 -0.1861206994 0  3.695244995
#> 2834 45   14     2  3.927248016  0.2762745565 1  4.054363622
#> 2835 45   15     2  1.027683343  2.3208602240 1  1.041456702
#> 2836 45   16     2  1.349922883  1.0846170087 1  1.387692417
#> 2837 45   17     2  0.554954747  0.3555876116 0  0.135683868
#> 2838 45   18     2  4.017983092 -2.5493427748 0  4.056679063
#> 2839 45   19     2  2.464209888  1.1579104666 1  2.114063642
#> 2840 45   20     2  2.939509275  0.1602775400 1  2.797470006
#> 2841 45   21     2  1.486054096  1.3997833562 1  1.571537170
#> 2842 45   22     2  1.935659269  0.6302398297 1  2.269564081
#> 2843 45   23     2  0.980122994  1.2913233045 1  1.222520760
#> 2844 45   24     2  1.756861848  0.4247997824 1  1.591447879
#> 2845 45   25     2 -0.551052251  0.9030760860 0 -0.396824485
#> 2846 45   26     2  1.751891459  0.2276149399 1  1.803232154
#> 2847 45   27     2  2.678446812 -0.5007190980 1  2.685043250
#> 2848 45   28     2 -0.436270636  1.1203550284 0 -0.351281758
#> 2849 45   29     2  1.659077308  0.9141587339 1  1.800882387
#> 2850 45   30     2  3.233653305 -1.7103796664 1  3.255519366
#> 2851 46    1     2           NA -0.2803953352 0  0.256396754
#> 2852 46    2     2  2.045805383 -0.4762468946 1  2.047497882
#> 2853 46    3     2  2.400018222 -0.0885651121 1  2.249153828
#> 2854 46    4     2  2.118781593  0.3311791730 1  1.797767873
#> 2855 46    5     2  0.194353240  0.3339029425 0  0.446798989
#> 2856 46    6     2  3.967589706 -1.6505465434 1  4.116120145
#> 2857 46    7     2  4.137657065 -2.6609227985 0  4.215483498
#> 2858 46    8     2  3.432874106 -0.0951474508 1  3.385208749
#> 2859 46    9     2  4.630263504 -1.4589707285 1  4.516460399
#> 2860 46   10     2  4.125096376 -0.2107341807 1  4.513575996
#> 2861 46   11     2  3.370011608 -0.8281742704 0  3.302043529
#> 2862 46   12     2  3.267786489  0.5899826794 1  3.551906019
#> 2863 46   13     2  4.443311086 -0.1203938246 1  4.370095995
#> 2864 46   14     2  4.333490781  0.1441046625 1  4.275243031
#> 2865 46   15     2  5.090407925 -0.6035312478 1  5.277280957
#> 2866 46   16     2  3.415570834 -0.6245674736 0  3.252238054
#> 2867 46   17     2  5.970594907 -1.6218582591 1  5.987073571
#> 2868 46   18     2  3.295216218  1.0405734557 1  3.598926743
#> 2869 46   19     2  2.933318752  0.5847052602 1  2.807353151
#> 2870 46   20     2  3.640717821 -0.2739623748 1  3.538139850
#> 2871 46   21     2  1.237925784  0.1174595846 0  1.164951666
#> 2872 46   22     2 -0.830286800  1.0966616331 0 -1.187506310
#> 2873 46   23     2  0.959345035 -1.0022598737 0  0.791772540
#> 2874 46   24     2 -0.709770260  0.6483473512 0 -0.744777131
#> 2875 46   25     2 -2.381664217  2.0055732743 0 -2.295669263
#> 2876 46   26     2  0.251191563  1.2949457957 1  0.322335573
#> 2877 46   27     2 -0.395019344  0.5100979282 0 -0.262585395
#> 2878 46   28     2 -1.314314322  2.1272135525 0 -1.176755781
#> 2879 46   29     2  3.108975252 -1.2987319948 1  3.044671789
#> 2880 46   30     2  2.825651828 -0.2094484283 1  2.776714424
#> 2881 47    1     2           NA  0.5629895332 0 -1.856360586
#> 2882 47    2     2  0.119249073 -0.7886028379 0  0.106389520
#> 2883 47    3     2 -0.904114203  1.0807994962 0 -0.970242529
#> 2884 47    4     2  1.856112369 -2.0142104979 0  1.985484775
#> 2885 47    5     2  0.276137893  0.4114299206 0  0.202382509
#> 2886 47    6     2  2.685167714 -0.3497542392 1  2.684726554
#> 2887 47    7     2  1.656761889  1.1102770966 1  1.682642290
#> 2888 47    8     2  3.729004119 -0.8959478228 1  3.505353231
#> 2889 47    9     2  3.526795225 -0.0512978861 1  3.330785688
#> 2890 47   10     2  4.286267059 -0.6567429254 1  4.106334483
#> 2891 47   11     2  3.037034418  1.0202530122 1  3.324366474
#> 2892 47   12     2  3.813174193  0.2893440288 1  3.578136447
#> 2893 47   13     2  2.945661434  1.0128343358 1  3.033948896
#> 2894 47   14     2  4.107751760 -0.0756250808 1  4.149563590
#> 2895 47   15     2  6.350209135 -1.4588494144 1  6.333550168
#> 2896 47   16     2  1.892968306  0.8259229016 0  2.018787467
#> 2897 47   17     2  0.998413834  0.2207112910 0  0.805122756
#> 2898 47   18     2  2.503437423  0.2497257360 1  2.574730250
#> 2899 47   19     2  4.507730548 -0.8064528227 1  4.631404501
#> 2900 47   20     2  5.336033053 -0.9855391126 1  5.185188659
#> 2901 47   21     2  2.434766404 -0.3315457582 0  2.284616499
#> 2902 47   22     2  4.088742925 -0.9884429224 1  4.238215633
#> 2903 47   23     2  2.539219992 -1.1051827292 0  2.692308332
#> 2904 47   24     2  4.144629329 -1.2198100315 1  4.070911338
#> 2905 47   25     2  0.983828226 -0.0035803084 0  0.848498226
#> 2906 47   26     2  1.699063452  0.5783349405 1  1.596951129
#> 2907 47   27     2  1.646410216  0.8687932702 1  1.647806247
#> 2908 47   28     2  1.951981757  0.3661143829 1  2.040229704
#> 2909 47   29     2  1.857362945  0.4243787949 1  1.905038368
#> 2910 47   30     2  2.334160597  2.4787458014 1  2.536588814
#> 2911 48    1     2           NA -0.3724387561 1 -1.860587630
#> 2912 48    2     2  1.959586900 -0.5946172675 1  1.891144083
#> 2913 48    3     2  1.731216647  0.6307541157 1  1.927477400
#> 2914 48    4     2  2.196255211  0.2119804334 1  2.033588129
#> 2915 48    5     2  2.563594688 -0.0330361593 1  2.168190726
#> 2916 48    6     2  1.829973588  0.7564064385 1  1.834719214
#> 2917 48    7     2  1.174003576 -0.4849875966 0  1.146260405
#> 2918 48    8     2  4.649332005 -2.0707510705 1  5.043243077
#> 2919 48    9     2  4.265114206 -0.5269251761 1  4.389257562
#> 2920 48   10     2  3.355235722 -1.4120257927 0  3.460117575
#> 2921 48   11     2  1.256186689  0.5384820321 0  1.514635101
#> 2922 48   12     2  4.400890052 -0.9042150256 1  4.225870266
#> 2923 48   13     2  2.967415279 -0.2014581470 0  2.887106935
#> 2924 48   14     2  0.740168744  2.1614158463 1  1.180290752
#> 2925 48   15     2  3.394938751 -0.3509178272 1  3.404101115
#> 2926 48   16     2  1.856819251 -0.0485683528 0  1.896778204
#> 2927 48   17     2  2.698413213  0.3104500805 1  3.120412371
#> 2928 48   18     2  0.384184569  2.4162073731 1  0.559301148
#> 2929 48   19     2  2.540864714  0.0545532458 1  2.565488407
#> 2930 48   20     2  3.101475973  0.0839306795 1  3.059357337
#> 2931 48   21     2  2.884569711  0.2782949133 1  2.808165232
#> 2932 48   22     2  1.608594893  1.1079950410 1  1.922539667
#> 2933 48   23     2  1.690639432  0.5919460034 1  1.692281599
#> 2934 48   24     2  2.164574513  0.1072350348 1  1.845048822
#> 2935 48   25     2  4.018545606 -1.4958268140 1  3.469631999
#> 2936 48   26     2  1.434469324  1.3646727815 1  1.455974773
#> 2937 48   27     2 -0.816841325  1.3693516880 0 -0.801217467
#> 2938 48   28     2  2.488342422 -0.8747813772 1  2.220614293
#> 2939 48   29     2  0.826844875 -1.1125453200 0  0.828384272
#> 2940 48   30     2  2.528816538  0.9897022081 1  2.512201874
#> 2941 49    1     2           NA  0.9769733867 1 -0.022834094
#> 2942 49    2     2  1.757820331  1.6509074673 1  1.890837374
#> 2943 49    3     2  2.509854748 -0.1136398955 1  2.291823876
#> 2944 49    4     2 -0.550498889  1.2366750464 0 -0.343103513
#> 2945 49    5     2  4.477859729 -2.4658981938 1  4.676090144
#> 2946 49    6     2  1.803207831 -0.5388091600 0  1.865438510
#> 2947 49    7     2  2.446463589  0.2306168306 1  2.344137305
#> 2948 49    8     2  2.861394838  0.1501201312 1  3.027341641
#> 2949 49    9     2  3.524688932 -0.1972648691 1  3.472271901
#> 2950 49   10     2  3.967008832 -0.2997624966 1  3.877525779
#> 2951 49   11     2  3.234282708  0.7690522950 1  3.118880658
#> 2952 49   12     2  1.812655235  0.2263249424 0  2.013905806
#> 2953 49   13     2  4.528500313 -2.0376824944 0  4.584207497
#> 2954 49   14     2  2.392913048  0.2763155321 0  2.114715566
#> 2955 49   15     2  1.232378542  0.1467084841 0  1.290089002
#> 2956 49   16     2  2.570101118  0.3013136517 1  2.487496598
#> 2957 49   17     2  5.502885745 -1.4211084475 1  5.475378564
#> 2958 49   18     2  3.693563825  0.6851982381 1  3.624085039
#> 2959 49   19     2  2.886739001  0.7163316195 1  2.940459805
#> 2960 49   20     2  5.205001695 -1.3199965265 1  5.212145772
#> 2961 49   21     2  5.488258001 -1.1855916490 1  5.459743360
#> 2962 49   22     2  2.387913882 -0.4895328712 0  2.515928090
#> 2963 49   23     2  2.835183742 -0.1196896641 1  2.672165305
#> 2964 49   24     2  1.816493988 -0.9440576916 0  1.515098647
#> 2965 49   25     2  1.268451941 -0.7684170270 0  1.583654432
#> 2966 49   26     2  3.946088187 -1.7015798027 1  3.771079259
#> 2967 49   27     2  2.074707398  0.7626511463 1  2.023128339
#> 2968 49   28     2  1.564612547  1.0244748630 1  1.937714972
#> 2969 49   29     2  2.870790572 -1.0510732262 1  2.891431822
#> 2970 49   30     2  2.530415907  1.6755721558 1  2.689318569
#> 2971 50    1     2           NA -0.3745808578 1  0.149938747
#> 2972 50    2     2  2.047609569 -0.0540281251 1  1.755086924
#> 2973 50    3     2  3.756304785 -1.5329020029 1  4.049610391
#> 2974 50    4     2  0.957677897  2.0375740182 1  1.076061989
#> 2975 50    5     2  0.104389907  2.5714581459 1 -0.044604420
#> 2976 50    6     2  1.998456004  0.2272919217 1  2.044199171
#> 2977 50    7     2  1.073128808 -0.2951578009 0  0.988926553
#> 2978 50    8     2  0.753779310 -0.0792117093 0  0.264026161
#> 2979 50    9     2  1.163323831 -0.6295787427 0  1.136211392
#> 2980 50   10     2  3.677085696 -0.8490611350 1  3.751728788
#> 2981 50   11     2  3.932975969  0.1207193293 1  3.677867529
#> 2982 50   12     2  3.333672129  0.7480811625 1  3.489499606
#> 2983 50   13     2  2.629433006 -0.1958892488 0  2.544599144
#> 2984 50   14     2  1.972920331 -0.1582940287 0  1.816004877
#> 2985 50   15     2  0.982140961  1.6236212077 1  1.004184589
#> 2986 50   16     2  2.481028668  0.2603614907 1  2.617673160
#> 2987 50   17     2  2.117560431  0.9553656397 1  2.219318416
#> 2988 50   18     2  1.964049034 -0.4469593090 0  1.868055357
#> 2989 50   19     2  0.446407483  0.5577309821 0  0.554567864
#> 2990 50   20     2  2.376821727  0.1612263513 1  2.272492856
#> 2991 50   21     2  2.130707760 -0.8358940534 0  2.206942818
#> 2992 50   22     2  2.485287349  0.2943533884 1  2.551791148
#> 2993 50   23     2  0.591142577  0.0740052117 0  0.892844219
#> 2994 50   24     2  2.183568549 -0.0003846487 1  2.208617975
#> 2995 50   25     2  0.093901192  0.4084885048 0 -0.121140002
#> 2996 50   26     2  2.246416470 -0.2806762797 1  2.381388225
#> 2997 50   27     2  0.091557606  0.4211471730 0  0.104957356
#> 2998 50   28     2 -0.464548757  0.9047588937 0 -0.711684545
#> 2999 50   29     2  1.915943916  0.5254124483 1  1.969896757
#> 3000 50   30     2  0.663753573  0.9149653183 0  0.677013200
# \donttest{
set.seed(1)
# Please update your rstan and StanHeaders installation before running
# on Windows
if (!identical(.Platform$OS.type, "windows")) {
  fit <- dynamite(
    dformula = obs(LakeHuron ~ 1, "gaussian") + lags(),
    data = data.frame(LakeHuron, time = seq_len(length(LakeHuron)), id = 1),
    time = "time",
    group = "id",
    chains = 1,
    refresh = 0
  )

  if (requireNamespace("dplyr") &&
    requireNamespace("tidyr") &&
    base::getRversion() >= "4.1.0") {

    # One-step ahead samples (fitted values) from the posterior
    # (first time point is fixed due to lag in the model):
    fitted(fit) |>
      dplyr::filter(time > 2) |>
      ggplot2::ggplot(ggplot2::aes(time, LakeHuron_fitted, group = .draw)) +
      ggplot2::geom_line(alpha = 0.5) +
      # observed values
      ggplot2::geom_line(ggplot2::aes(y = LakeHuron), colour = "tomato") +
      ggplot2::theme_bw()

    # Posterior predictive distribution given the first time point:
    predict(fit, type = "mean") |>
      dplyr::filter(time > 2) |>
      ggplot2::ggplot(ggplot2::aes(time, LakeHuron_mean, group = .draw)) +
      ggplot2::geom_line(alpha = 0.5) +
      # observed values
      ggplot2::geom_line(ggplot2::aes(y = LakeHuron), colour = "tomato") +
      ggplot2::theme_bw()
  }
}

# }