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

# }