sim_widen widens a symmetric melted matrix.

sim_wider(sim_df, annotation_column, primary_key_column)

Arguments

sim_df

data.frame with melted similarity matrix.

annotation_column

character string specifying the column in sim_df to use to annotate rows and columns

primary_key_column

character string specifying the column in sim_df to use to uniquely identify rows and columns

Value

data.frame of widened similarity matrix, with some attributes.

Examples

suppressMessages(suppressWarnings(library(magrittr)))
population <- tibble::tibble(
  Metadata_group = sample(c("a", "b", "c", "d"), 100, replace = TRUE),
  x1 = rnorm(100),
  x2 = rnorm(100),
  x3 = rnorm(100),
  x4 = rnorm(100),
  x5 = rnorm(100)
)
population$Metadata_id <- seq(nrow(population))
metadata <- matric::get_annotation(population)
annotation_cols <- c("Metadata_group", "Metadata_id")
sim_df <- matric::sim_calculate(population, method = "pearson")
row_metadata <- attr(sim_df, "row_metadata")
sim_df <- matric::sim_annotate(sim_df, row_metadata, annotation_cols)
annotation_column <- "Metadata_group"
primary_key_column <- "Metadata_id"
res <- matric::sim_wider(sim_df, annotation_column, primary_key_column)
res
#>                a:1          c:2         a:3          a:4          a:5
#> a:1             NA  0.573713383 -0.10922166  0.506612719 -0.608244481
#> c:2    0.573713383           NA  0.27963375  0.400278875 -0.551027424
#> a:3   -0.109221656  0.279633755          NA -0.759125759 -0.090733452
#> a:4    0.506612719  0.400278875 -0.75912576           NA -0.196008653
#> a:5   -0.608244481 -0.551027424 -0.09073345 -0.196008653           NA
#> a:6   -0.324620720  0.301985531  0.71333433 -0.555594533 -0.399052685
#> b:7   -0.137308086 -0.879894700 -0.39366692 -0.220258705  0.207185076
#> d:8    0.434721249  0.747003352  0.57109246  0.027360626 -0.041705263
#> b:9   -0.742226082  0.002915191  0.52167774 -0.555774110  0.052993959
#> b:10   0.675421002  0.790508732  0.26529211  0.216828381 -0.938895874
#> b:11  -0.308237067 -0.027833635  0.63225515 -0.527706236  0.658556971
#> c:12  -0.292257800  0.207966432  0.96343593 -0.755418294  0.148526526
#> b:13  -0.460860057 -0.507168090 -0.82796846  0.432139801  0.407463344
#> c:14  -0.706604185 -0.943957211  0.03476362 -0.668592177  0.543355980
#> d:15   0.043824359 -0.596303340  0.25366721 -0.632410168  0.029639299
#> b:16   0.189081988  0.881502758  0.14594228  0.447294404 -0.258726044
#> d:17   0.745706961 -0.106649824 -0.23330706  0.179113643 -0.291395662
#> b:18  -0.251178450  0.318047892 -0.44604047  0.611647469  0.066130292
#> a:19   0.180703623 -0.376145454 -0.16558283 -0.177786631 -0.560353266
#> b:20  -0.252694589 -0.078194827 -0.13026793 -0.056193769 -0.560827030
#> b:21  -0.575093630 -0.389294624 -0.26590103  0.071414329  0.947537413
#> d:22   0.664782209  0.089020479 -0.80336230  0.816866312 -0.369216849
#> d:23  -0.132611044 -0.030358855  0.84211983 -0.864923741 -0.309163662
#> c:24   0.638304274 -0.031287183  0.26541444 -0.239517134 -0.277344280
#> b:25   0.883742352  0.517757173  0.27803022  0.076229561 -0.735745192
#> d:26  -0.626596268 -0.271249639  0.08009881 -0.368907718 -0.223049292
#> d:27   0.431025535  0.648300124 -0.34066527  0.814542276  0.040469412
#> c:28   0.256535762  0.347396884  0.20136620 -0.072502985 -0.920003670
#> c:29  -0.175204399  0.290642658  0.16338867  0.134935428  0.638250440
#> c:30   0.103785081 -0.662898065 -0.52675493  0.017530605 -0.159001765
#> a:31  -0.033753887  0.520787603 -0.38057998  0.666191055 -0.225564207
#> c:32  -0.957444198 -0.404072867 -0.02453745 -0.267356877  0.577012812
#> c:33  -0.660224837  0.141756772  0.67215055 -0.542818853  0.335851458
#> a:34  -0.050685494 -0.210780364 -0.61120028  0.335706573 -0.467282649
#> b:35   0.642238017 -0.059507635  0.15879499 -0.129403525 -0.094584474
#> d:36   0.947416781  0.641021023  0.15105256  0.280518405 -0.763259667
#> c:37   0.679224685  0.949071647  0.25069251  0.432038668 -0.384865768
#> c:38  -0.027283721 -0.200908634  0.78574984 -0.868987070 -0.018778514
#> d:39  -0.620041023 -0.150614656  0.73674692 -0.757173499  0.579850021
#> c:40  -0.450184006  0.408183099  0.68574425 -0.416846543 -0.070541944
#> c:41   0.016302717  0.126902977 -0.41903621  0.578451740  0.615220085
#> c:42  -0.321433043 -0.085720223 -0.14618951 -0.044069045 -0.498246836
#> c:43  -0.359348329  0.067955252  0.09207281  0.053017496  0.792886705
#> d:44   0.267595736 -0.233765456  0.29503493 -0.338584987  0.376652006
#> b:45  -0.169447736 -0.356624942  0.57742580 -0.706869452  0.535681644
#> c:46  -0.390541742 -0.105002026 -0.09973401  0.122186751  0.877509122
#> b:47   0.368030731  0.341349864  0.83396678 -0.522409034 -0.171698016
#> b:48   0.139246448  0.175089210  0.89743698 -0.693010232 -0.003948339
#> a:49  -0.521443488  0.269108059  0.05901140  0.049682863 -0.121077217
#> a:50  -0.106804571 -0.407358540  0.50122629 -0.797580026 -0.261853767
#> a:51   0.259677371  0.359871964 -0.29050025  0.406180545 -0.825297885
#> b:52   0.039709622 -0.674139976 -0.64712256  0.122103762 -0.107967191
#> b:53   0.376543317  0.223871656  0.67086667 -0.531125443 -0.648328262
#> c:54   0.101301763 -0.230674453 -0.61347439  0.527525905  0.643391465
#> b:55  -0.056818833  0.040723855 -0.42966037  0.318921893 -0.591267942
#> a:56  -0.004487522  0.119794084 -0.81251287  0.859086934  0.165687069
#> a:57   0.205795956  0.091258816 -0.66334909  0.599107082 -0.592621747
#> c:58   0.233932573  0.663001201 -0.30790450  0.769984286  0.029916176
#> b:59   0.680536050  0.587623786  0.32370940  0.022618176 -0.950647444
#> c:60  -0.541576923 -0.692251643  0.45558825 -0.857952315  0.589463520
#> a:61   0.642030522  0.738065936  0.28844526  0.301285629 -0.069183404
#> c:62   0.121176097  0.664877331 -0.08463127  0.576158804  0.172625170
#> d:63   0.538370546  0.914931056  0.60296534  0.055012866 -0.458821199
#> b:64   0.617095829  0.266559402  0.59088725 -0.355835332 -0.381629899
#> a:65   0.966870008  0.432834242 -0.35300603  0.646569972 -0.517186118
#> a:66  -0.478249038 -0.772652512 -0.48950492 -0.124082338  0.048468636
#> b:67   0.311676995  0.673365037  0.87725979 -0.368363364 -0.332227142
#> a:68   0.102361885 -0.183091250  0.59532611 -0.606764978  0.336141344
#> a:69  -0.196662031 -0.199805452 -0.07030089  0.052937283  0.880927544
#> c:70  -0.329471562 -0.469779364 -0.68079413  0.246356246 -0.134100467
#> c:71  -0.301966885  0.222537413  0.96695024 -0.755824912  0.112523724
#> a:72  -0.015810420  0.340190049  0.89121690 -0.670989245 -0.475759268
#> a:73   0.563245497 -0.174226346 -0.65273226  0.466724664 -0.484078555
#> a:74  -0.350310762  0.550023244  0.58155190 -0.195337364  0.029644389
#> a:75   0.158085150 -0.432186741  0.39530060 -0.638907427  0.022010570
#> d:76   0.011343405  0.648402423 -0.21159844  0.591215755 -0.294772448
#> c:77  -0.637197236 -0.286049101 -0.45823173  0.166582700  0.075867386
#> a:78   0.096751273 -0.271085960 -0.05022988 -0.009540133  0.708691643
#> c:79   0.265019178 -0.475922084 -0.03775531 -0.318778857 -0.347554535
#> a:80   0.763586108  0.539142049 -0.59796753  0.921088944 -0.523194039
#> b:81  -0.285234476 -0.370011634 -0.45467666  0.073610575 -0.357904601
#> b:82  -0.208474571 -0.600131189 -0.54126610  0.201537753  0.817748209
#> d:83  -0.300180501 -0.650018369  0.34073874 -0.689852255  0.622214349
#> c:84   0.483002027  0.304403279 -0.05798372  0.377153774  0.357105820
#> d:85  -0.468192664 -0.464783048  0.67989214 -0.983381589  0.095949639
#> b:86  -0.419714832 -0.115279585 -0.48582753  0.288322049 -0.196704477
#> c:87   0.706410753  0.535967708 -0.61852428  0.928916999 -0.537573196
#> d:88   0.023997251 -0.679870391 -0.78040118  0.325868216  0.408800093
#> b:89  -0.221722537 -0.649604574  0.27518398 -0.739389707 -0.090719095
#> a:90   0.336274618 -0.242975030  0.40714462 -0.553473728 -0.298508839
#> d:91  -0.134332676 -0.671832062 -0.30693915 -0.063471494  0.768928047
#> a:92   0.268309697  0.389005350 -0.58317656  0.871172088  0.213999153
#> b:93   0.252054020  0.489015199 -0.06696036  0.490454129  0.387690393
#> c:94  -0.365394944  0.237840776  0.94436460 -0.733759355  0.100718619
#> d:95  -0.981823880 -0.686687691 -0.05731304 -0.419516923  0.660072553
#> b:96  -0.086388038 -0.494252285 -0.96932691  0.592459162  0.276231012
#> a:97  -0.252157049 -0.027257508  0.91573236 -0.916054093 -0.139461836
#> a:98   0.340615142 -0.232278056  0.43012516 -0.560682955 -0.261607673
#> c:99   0.157539659  0.846591282  0.44277183  0.091279618 -0.584669197
#> a:100  0.319355895 -0.390311612 -0.90272037  0.601451700 -0.006266341
#>               a:6          b:7           d:8          b:9        b:10
#> a:1   -0.32462072 -0.137308086  0.4347212491 -0.742226082  0.67542100
#> c:2    0.30198553 -0.879894700  0.7470033521  0.002915191  0.79050873
#> a:3    0.71333433 -0.393666924  0.5710924574  0.521677740  0.26529211
#> a:4   -0.55559453 -0.220258705  0.0273606260 -0.555774110  0.21682838
#> a:5   -0.39905269  0.207185076 -0.0417052627  0.052993959 -0.93889587
#> a:6            NA -0.450852752  0.1178941525  0.859378247  0.44045774
#> b:7   -0.45085275           NA -0.7364035520 -0.357104699 -0.49125209
#> d:8    0.11789415 -0.736403552            NA -0.083804779  0.37324761
#> b:9    0.85937825 -0.357104699 -0.0838047792           NA -0.02829951
#> b:10   0.44045774 -0.491252088  0.3732476123 -0.028299510          NA
#> b:11   0.07409212 -0.250088435  0.5971893158  0.218662451 -0.42029586
#> c:12   0.65918858 -0.436040371  0.5766477273  0.598874221  0.05602108
#> b:13  -0.42763731  0.352288068 -0.7159280558 -0.020599257 -0.58359988
#> c:14  -0.01536182  0.747106275 -0.6257697202  0.258591320 -0.73931772
#> d:15  -0.09416799  0.755438472 -0.2488672156 -0.231021930 -0.18415963
#> b:16   0.32604248 -0.964507451  0.6053457003  0.258255905  0.50268762
#> d:17  -0.57420274  0.533961338 -0.0116156124 -0.866251990  0.19592493
#> b:18   0.03996981 -0.518616937 -0.0805881125  0.285904565 -0.01217481
#> a:19   0.08223784  0.670565274 -0.6458072396 -0.148937305  0.26389825
#> b:20   0.55577976  0.102008272 -0.6425491430  0.496190474  0.33536196
#> b:21  -0.43062793  0.033332631 -0.0348898306  0.055448238 -0.86694976
#> d:22  -0.66697409  0.276845446 -0.2528677971 -0.797666939  0.24238665
#> d:23   0.74038499  0.030801029  0.1105149358  0.492216814  0.29673961
#> c:24  -0.23296626  0.381496494  0.2427193149 -0.593202152  0.26163840
#> b:25   0.04234120 -0.098677729  0.4380230269 -0.471690248  0.78378203
#> d:26   0.68157421  0.101254513 -0.6287212789  0.773349441  0.03214451
#> d:27  -0.40118650 -0.619308198  0.5353271797 -0.375195609  0.17576842
#> c:28   0.64691807 -0.129714064 -0.1707102738  0.285169977  0.80340789
#> c:29  -0.16828948 -0.577387990  0.6423040997  0.074244415 -0.34668584
#> c:30  -0.39626285  0.915685663 -0.7833586601 -0.433286103 -0.16062483
#> a:31   0.15094115 -0.614018343  0.0008530246  0.247567601  0.28295720
#> c:32   0.29085549 -0.047162265 -0.3821432901  0.736826537 -0.61027583
#> c:33   0.68512081 -0.554483147  0.3285200138  0.862929696 -0.15804796
#> a:34   0.04538095  0.346107466 -0.8040780639  0.043091141  0.18400382
#> b:35  -0.43068849  0.381993940  0.3004291567 -0.716816195  0.11158088
#> d:36  -0.02146597 -0.216510803  0.4749248359 -0.520217791  0.83336140
#> c:37   0.05901578 -0.802741921  0.8677823922 -0.225618345  0.66104167
#> c:38   0.36093313  0.231917043  0.2209846390  0.155919925  0.03730719
#> d:39   0.42326632 -0.222547471  0.3475164169  0.609285468 -0.41541536
#> c:40   0.87969020 -0.708251485  0.3446336884  0.896716560  0.23210311
#> c:41  -0.63931779 -0.273458775  0.3215279904 -0.350175889 -0.43895515
#> c:42   0.55973641  0.067564445 -0.6471000243  0.544285771  0.28207691
#> c:43  -0.21432818 -0.413434727  0.4649198582  0.125099603 -0.55028062
#> d:44  -0.43409801  0.330670631  0.3839942654 -0.509698351 -0.28807051
#> b:45  -0.06742173  0.249850875  0.3247964351 -0.031716608 -0.43854012
#> c:46  -0.38660224 -0.226329697  0.2921724350  0.012436064 -0.69144183
#> b:47   0.29309345 -0.236094867  0.7204767817 -0.034942289  0.35726228
#> b:48   0.35536526 -0.167405800  0.6356070079  0.118053415  0.17562102
#> a:49   0.64409955 -0.547522709 -0.1350622309  0.800512525  0.14327505
#> a:50   0.42181474  0.508477987 -0.2758653403  0.213873263  0.10128357
#> a:51   0.34198635 -0.156844493 -0.3373640626  0.124048706  0.68343398
#> b:52  -0.43864422  0.891825789 -0.8479157800 -0.412396200 -0.21892805
#> b:53   0.53195978  0.015946318  0.2274012193  0.085115992  0.63533798
#> c:54  -0.92039054  0.208656795  0.0382193357 -0.648431030 -0.59314126
#> b:55   0.29509193  0.052297314 -0.6281789809  0.245861035  0.37481829
#> a:56  -0.47635961 -0.175077542 -0.2042971135 -0.220979903 -0.17274334
#> a:57  -0.03197770  0.111253336 -0.5745040175 -0.108138793  0.38380218
#> c:58  -0.20155719 -0.724970315  0.4532006955 -0.118964045  0.17775181
#> b:59   0.41991223 -0.233724686  0.2544166372 -0.092019508  0.94872794
#> c:60   0.07246562  0.491708432 -0.1240328530  0.236342506 -0.62774945
#> a:61  -0.18022163 -0.621995996  0.9410427513 -0.393741865  0.37133418
#> c:62  -0.10206109 -0.810992240  0.6072403702  0.007857074  0.09610094
#> d:63   0.39659012 -0.813146038  0.8939889234  0.050298852  0.73305372
#> b:64   0.09605457  0.016886518  0.5284030157 -0.328556883  0.46964646
#> a:65  -0.51648290  0.008203313  0.2622395849 -0.855892324  0.53405261
#> a:66  -0.05256929  0.746273079 -0.9951976114  0.143384877 -0.37999318
#> b:67   0.56879599 -0.643722083  0.8329131547  0.241900450  0.58045924
#> a:68  -0.10289043  0.197004882  0.4548308608 -0.199826872 -0.21951909
#> a:69  -0.56922119 -0.021372530  0.3423118408 -0.252011182 -0.70769870
#> c:70  -0.05941810  0.475532309 -0.9293851755  0.114473435 -0.16370130
#> c:71   0.69993761 -0.451197752  0.5583466349  0.633185834  0.08585554
#> a:72   0.88201034 -0.345584595  0.3375016641  0.578782627  0.54996740
#> a:73  -0.48917923  0.581818706 -0.4954694856 -0.686741080  0.24695389
#> a:74   0.70490343 -0.859821713  0.5140198522  0.759592177  0.20323875
#> a:75  -0.07808157  0.601581351 -0.0104580636 -0.268838697 -0.09999681
#> d:76   0.27690206 -0.741064986  0.1484957841  0.313751821  0.39667618
#> c:77   0.20738722  0.060168463 -0.7012563320  0.515265085 -0.24687462
#> a:78  -0.70648087  0.235809738  0.3321750023 -0.550902436 -0.58663270
#> c:79  -0.11472575  0.787347581 -0.4598178914 -0.353350474  0.10242382
#> a:80  -0.42367281 -0.211888875  0.1068333932 -0.626893850  0.52996363
#> b:81   0.20241051  0.414272256 -0.8818822912  0.254584108  0.05623368
#> b:82  -0.84086003  0.493226742 -0.2216361397 -0.475645071 -0.85106516
#> d:83  -0.20683089  0.542733442 -0.0043220122 -0.081686477 -0.63306705
#> c:84  -0.63663408 -0.235742873  0.6831953464 -0.642376151 -0.12322065
#> d:85   0.54186872  0.340130678 -0.1622365845  0.510701441 -0.17421426
#> b:86   0.25131918  0.002048547 -0.6748238971  0.433518299  0.01337752
#> c:87  -0.37362976 -0.230477361  0.0549780012 -0.557591885  0.53252620
#> d:88  -0.87467241  0.786235953 -0.5633848400 -0.660568345 -0.60105229
#> b:89   0.22398890  0.726836935 -0.4964014422  0.128731622 -0.13353966
#> a:90   0.05951873  0.512093625 -0.0054095039 -0.264988432  0.20185953
#> d:91  -0.77604862  0.623276864 -0.1520530921 -0.513499584 -0.80752325
#> a:92  -0.57130499 -0.401505660  0.2718256674 -0.414181170 -0.07170473
#> b:93  -0.41380669 -0.577043547  0.7109127138 -0.309421968 -0.10158681
#> c:94   0.75736387 -0.496212493  0.5170256155  0.715399780  0.09200148
#> d:95   0.16125261  0.278220730 -0.5505912687  0.613628403 -0.76727831
#> b:96  -0.72150645  0.534539712 -0.6765792543 -0.443042942 -0.47679833
#> a:97   0.75455965 -0.063382743  0.2067881512  0.579209156  0.17846602
#> a:98   0.04201608  0.492695128  0.0415793677 -0.277197307  0.18243011
#> c:99   0.72891645 -0.871398317  0.4829129793  0.501870676  0.75301578
#> a:100 -0.80714359  0.645763225 -0.5606002906 -0.750100900 -0.20701854
#>               b:11         c:12         b:13         c:14         d:15
#> a:1   -0.308237067 -0.292257800 -0.460860057 -0.706604185  0.043824359
#> c:2   -0.027833635  0.207966432 -0.507168090 -0.943957211 -0.596303340
#> a:3    0.632255154  0.963435927 -0.827968455  0.034763623  0.253667215
#> a:4   -0.527706236 -0.755418294  0.432139801 -0.668592177 -0.632410168
#> a:5    0.658556971  0.148526526  0.407463344  0.543355980  0.029639299
#> a:6    0.074092118  0.659188581 -0.427637310 -0.015361818 -0.094167987
#> b:7   -0.250088435 -0.436040371  0.352288068  0.747106275  0.755438472
#> d:8    0.597189316  0.576647727 -0.715928056 -0.625769720 -0.248867216
#> b:9    0.218662451  0.598874221 -0.020599257  0.258591320 -0.231021930
#> b:10  -0.420295860  0.056021076 -0.583599880 -0.739317719 -0.184159630
#> b:11            NA  0.778396147 -0.392757754  0.215132411  0.128000938
#> c:12   0.778396147           NA -0.686533490  0.108497161  0.140906119
#> b:13  -0.392757754 -0.686533490           NA  0.304778202 -0.329751774
#> c:14   0.215132411  0.108497161  0.304778202           NA  0.637804373
#> d:15   0.128000938  0.140906119 -0.329751774  0.637804373           NA
#> b:16   0.039087710  0.187769284 -0.155060019 -0.823633364 -0.881129187
#> d:17  -0.261955850 -0.405123678 -0.262275974 -0.063854960  0.611786817
#> b:18  -0.270314093 -0.311670978  0.606404245 -0.396491721 -0.941869310
#> a:19  -0.671586854 -0.369908230 -0.005479838  0.320343928  0.618805907
#> b:20  -0.719134710 -0.229736281  0.265462016  0.111632469 -0.092913666
#> b:21   0.517644316 -0.004821051  0.567148043  0.335872306 -0.273103755
#> d:22  -0.732643839 -0.908524371  0.338205483 -0.395788790 -0.096519966
#> d:23   0.253638135  0.720012944 -0.703628768  0.305723329  0.573766742
#> c:24   0.086769710  0.086507302 -0.649080302  0.020187603  0.772407740
#> b:25  -0.198874345  0.043320035 -0.754649069 -0.517630669  0.317837189
#> d:26  -0.373238562  0.065759543  0.283806054  0.396433115 -0.037832953
#> d:27   0.016195169 -0.262725052  0.120993344 -0.791755194 -0.769030159
#> c:28  -0.629766952 -0.010728281 -0.313452113 -0.264838122  0.029660129
#> c:29   0.734162634  0.371869112 -0.005055721 -0.243958419 -0.514964614
#> c:30  -0.601493284 -0.644440754  0.347543412  0.483690092  0.622857793
#> a:31  -0.417441102 -0.317816389  0.431238788 -0.590838462 -0.947906261
#> c:32   0.221063507  0.182163408  0.577340410  0.500428007 -0.324349875
#> c:33   0.644288870  0.815277822 -0.193512189  0.137518881 -0.293054516
#> a:34  -0.933580031 -0.701840484  0.571107356  0.066485176 -0.108421737
#> b:35   0.186032167  0.025840170 -0.554631468  0.006001490  0.708843712
#> d:36  -0.279046667 -0.069926534 -0.662833968 -0.680737710  0.119718769
#> c:37   0.134370578  0.197520936 -0.550684608 -0.929465178 -0.493168732
#> c:38   0.498857140  0.694456798 -0.734291912  0.420569454  0.796536110
#> d:39   0.893296726  0.880450812 -0.309846496  0.416959473  0.132678494
#> c:40   0.356638668  0.745293996 -0.309574079 -0.124950896 -0.407004147
#> c:41   0.326764507 -0.225050162  0.396891519 -0.279155932 -0.548847541
#> c:42  -0.689358298 -0.221370532  0.322615272  0.121610727 -0.158129005
#> c:43   0.749686308  0.332548904  0.151609551 -0.029247607 -0.437912125
#> d:44   0.612158943  0.287244558 -0.464064759  0.244069142  0.664820074
#> b:45   0.828587193  0.627246791 -0.466439992  0.501970283  0.656412333
#> c:46   0.661208296  0.151886465  0.329852665  0.083452142 -0.379621016
#> b:47   0.575624182  0.734154498 -0.964891556 -0.142339953  0.443266237
#> b:48   0.695785030  0.837793093 -0.898894258  0.062238463  0.501961757
#> a:49  -0.176673461  0.141391084  0.299723855 -0.153200419 -0.706089327
#> a:50   0.007397659  0.352313167 -0.446034805  0.566332528  0.850605259
#> a:51  -0.882588278 -0.441973141  0.142628896 -0.421528313 -0.342664743
#> b:52  -0.656120079 -0.736663646  0.498117088  0.467760113  0.495372041
#> b:53  -0.019631073  0.451268259 -0.835563350 -0.048378159  0.570764916
#> c:54   0.184588495 -0.466907427  0.483913942 -0.004253515 -0.146290608
#> b:55  -0.888719365 -0.522275710  0.434253402 -0.116627773 -0.301240324
#> a:56  -0.395940002 -0.693105138  0.770717811 -0.353490205 -0.756176182
#> a:57  -0.975903232 -0.767325116  0.493023500 -0.272706791 -0.325205021
#> c:58  -0.022356741 -0.205137035  0.214980397 -0.764875510 -0.918566792
#> b:59  -0.420397870  0.074384135 -0.663987365 -0.527338525  0.132545026
#> c:60   0.641494022  0.525683904 -0.159323341  0.847034140  0.717748550
#> a:61   0.425682023  0.278410233 -0.584234460 -0.728006574 -0.266852724
#> c:62   0.244039412  0.051003284  0.079424446 -0.694296679 -0.877291426
#> d:63   0.267802518  0.520221711 -0.793889365 -0.770634655 -0.300618759
#> b:64   0.255647277  0.413328122 -0.904593644 -0.165823705  0.603128549
#> a:65  -0.422772952 -0.514133450 -0.229550497 -0.639554691  0.020630677
#> a:66  -0.548738284 -0.497586274  0.664549451  0.679987390  0.304616762
#> b:67   0.485902210  0.796984466 -0.933441928 -0.431947409  0.013575533
#> a:68   0.747863473  0.586578569 -0.634064879  0.308362729  0.683662400
#> a:69   0.723534600  0.137892261  0.171095019  0.152266659 -0.081477289
#> c:70  -0.774400880 -0.690148993  0.782241772  0.321195622 -0.085276757
#> c:71   0.745432782  0.998444045 -0.682341376  0.099088203  0.122243411
#> a:72   0.215261800  0.768806377 -0.781094084 -0.046463956  0.233570289
#> a:73  -0.806331626 -0.823849323  0.231224990 -0.076679430  0.298052780
#> a:74   0.429654335  0.681088277 -0.258450305 -0.312779664 -0.606513950
#> a:75   0.277238215  0.280302166 -0.513696147  0.501818707  0.971035752
#> d:76  -0.333315364 -0.163777613  0.260468059 -0.669353753 -0.953365334
#> c:77  -0.468044204 -0.362839470  0.789834469  0.243134742 -0.450444186
#> a:78   0.638974442  0.063787324 -0.039523765  0.190316278  0.285636297
#> c:79  -0.366444084 -0.229143007 -0.186333095  0.426732209  0.871925356
#> a:80  -0.640813776 -0.697019503  0.136151047 -0.778555086 -0.449928268
#> b:81  -0.804936578 -0.523926217  0.554827092  0.294846922  0.010785738
#> b:82   0.263876806 -0.374615666  0.569303244  0.411159812  0.124399368
#> d:83   0.664486524  0.400243824 -0.198210189  0.733804522  0.765405354
#> c:84   0.485393780  0.011490768 -0.210192519 -0.407308166 -0.125427394
#> d:85   0.374752169  0.642981091 -0.390607088  0.708257711  0.709585885
#> b:86  -0.667282215 -0.455663737  0.697411385  0.052261971 -0.481840226
#> c:87  -0.685424040 -0.711969407  0.190363312 -0.771390283 -0.502493767
#> d:88  -0.252374181 -0.737098383  0.634354515  0.407872759  0.313186206
#> b:89  -0.054584537  0.160984537 -0.191153547  0.744374351  0.897470128
#> a:90   0.051346622  0.221080839 -0.616447710  0.313312630  0.919615074
#> d:91   0.391166570 -0.191004809  0.297441705  0.537458402  0.449216569
#> a:92  -0.070763169 -0.464782053  0.419000857 -0.594487538 -0.748809613
#> b:93   0.474421268  0.071827472 -0.036910108 -0.553086594 -0.563499790
#> c:94   0.703046363  0.986026105 -0.620244274  0.088702428  0.038344004
#> d:95   0.228426745  0.129912258  0.591488649  0.762694355 -0.003696862
#> b:96  -0.516439911 -0.898258151  0.898353645  0.200908981 -0.130346922
#> a:97   0.438824401  0.845178684 -0.695891501  0.332437989  0.499402617
#> a:98   0.106363167  0.252119399 -0.638990983  0.306619392  0.918744275
#> c:99  -0.082366655  0.384546397 -0.416771594 -0.682192735 -0.599204771
#> a:100 -0.617750018 -0.943069590  0.593704339  0.071799680  0.142066078
#>               b:16         d:17         b:18         a:19         b:20
#> a:1    0.189081988  0.745706961 -0.251178450  0.180703623 -0.252694589
#> c:2    0.881502758 -0.106649824  0.318047892 -0.376145454 -0.078194827
#> a:3    0.145942277 -0.233307064 -0.446040465 -0.165582831 -0.130267928
#> a:4    0.447294404  0.179113643  0.611647469 -0.177786631 -0.056193769
#> a:5   -0.258726044 -0.291395662  0.066130292 -0.560353266 -0.560827030
#> a:6    0.326042484 -0.574202739  0.039969807  0.082237838  0.555779755
#> b:7   -0.964507451  0.533961338 -0.518616937  0.670565274  0.102008272
#> d:8    0.605345700 -0.011615612 -0.080588112 -0.645807240 -0.642549143
#> b:9    0.258255905 -0.866251990  0.285904565 -0.148937305  0.496190474
#> b:10   0.502687615  0.195924926 -0.012174814  0.263898247  0.335361960
#> b:11   0.039087710 -0.261955850 -0.270314093 -0.671586854 -0.719134710
#> c:12   0.187769284 -0.405123678 -0.311670978 -0.369908230 -0.229736281
#> b:13  -0.155060019 -0.262275974  0.606404245 -0.005479838  0.265462016
#> c:14  -0.823633364 -0.063854960 -0.396491721  0.320343928  0.111632469
#> d:15  -0.881129187  0.611786817 -0.941869310  0.618805907 -0.092913666
#> b:16            NA -0.507515327  0.684419069 -0.623416235 -0.009573936
#> d:17  -0.507515327           NA -0.660793994  0.522139042 -0.281682987
#> b:18   0.684419069 -0.660793994           NA -0.467876274  0.270071866
#> a:19  -0.623416235  0.522139042 -0.467876274           NA  0.618909567
#> b:20  -0.009573936 -0.281682987  0.270071866  0.618909567           NA
#> b:21  -0.020290118 -0.416771224  0.369147193 -0.680393640 -0.490392003
#> d:22  -0.060289890  0.640771745  0.137845867  0.353760580  0.054657689
#> d:23  -0.239869054 -0.021078750 -0.639620844  0.376806640  0.251624046
#> c:24  -0.484490224  0.873032174 -0.902980875  0.437088480 -0.361468804
#> b:25   0.053806778  0.702508960 -0.538032634  0.374242836 -0.096218490
#> d:26  -0.083304001 -0.551963389  0.241711389  0.422799034  0.899958426
#> d:27   0.734189530 -0.065727282  0.606155252 -0.675611292 -0.439469528
#> c:28   0.152643336  0.039355254 -0.044101264  0.641875301  0.794327385
#> c:29   0.517585003 -0.439983874  0.367912600 -0.990039122 -0.711240166
#> c:30  -0.814010045  0.625886582 -0.398848032  0.853883980  0.340662004
#> a:31   0.784216261 -0.555624041  0.954767992 -0.340344109  0.377116824
#> c:32   0.046482131 -0.859460039  0.517969695 -0.327504714  0.273227369
#> c:33   0.396122874 -0.855513939  0.233892572 -0.568779804 -0.001922616
#> a:34  -0.149055941  0.019532865  0.338866886  0.668410411  0.853166213
#> b:35  -0.471246933  0.889550952 -0.844301868  0.271766571 -0.556602424
#> d:36   0.215258241  0.656914881 -0.350776090  0.276238184 -0.097946716
#> c:37   0.788046720  0.069944488  0.182265205 -0.479985654 -0.374565000
#> c:38  -0.468652849  0.257051759 -0.886066860  0.268511201 -0.177466388
#> d:39   0.000540413 -0.537011378 -0.192182935 -0.504260728 -0.333686403
#> c:40   0.583577629 -0.824642979  0.312456212 -0.393037698  0.265061644
#> c:41   0.354462632 -0.142148129  0.499045908 -0.793385172 -0.666053655
#> c:42   0.028951651 -0.363812900  0.344214129  0.549970669  0.995228762
#> c:43   0.357470572 -0.488678790  0.361235500 -0.948943045 -0.675465505
#> d:44  -0.482009611  0.593093363 -0.784698824 -0.087035701 -0.801282036
#> b:45  -0.472201676  0.189545155 -0.735093337 -0.177539346 -0.646792299
#> c:46   0.206881600 -0.405467142  0.363588834 -0.869480366 -0.669660760
#> b:47   0.012359928  0.293075553 -0.705674283 -0.079249402 -0.452010620
#> b:48  -0.084164501  0.159083421 -0.721243666 -0.111372710 -0.438227574
#> a:49   0.599416919 -0.889022678  0.770752329 -0.237951120  0.614125856
#> a:50  -0.656165930  0.288745732 -0.796160344  0.711673424  0.318965775
#> a:51   0.313471634 -0.039550521  0.396448132  0.504843931  0.828341009
#> b:52  -0.756035838  0.537086532 -0.242659405  0.796133957  0.379495869
#> b:53  -0.166452179  0.373698639 -0.710071578  0.533377153  0.201043192
#> c:54  -0.109275656  0.247597156  0.178034062 -0.441991057 -0.681888084
#> b:55   0.123216373 -0.181454103  0.471387798  0.540519223  0.927552284
#> a:56   0.403889063 -0.228593098  0.850148894 -0.342199182  0.042803760
#> a:57   0.116036456  0.073210353  0.471784845  0.518115002  0.740014743
#> c:58   0.846776838 -0.324074938  0.789825050 -0.709796892 -0.244763513
#> b:59   0.212741343  0.387107358 -0.298819876  0.494131790  0.349574834
#> c:60  -0.683496798 -0.009054136 -0.640485194  0.055100468 -0.271193457
#> a:61   0.557914470  0.216687318 -0.050475352 -0.589640892 -0.720667256
#> c:62   0.866444048 -0.433169149  0.710684907 -0.866458828 -0.383870352
#> d:63   0.711179777 -0.027793235 -0.024395104 -0.370927955 -0.252205028
#> b:64  -0.179159134  0.634527988 -0.828061798  0.244955311 -0.348123431
#> a:65   0.097126341  0.790936642 -0.165098259  0.216576657 -0.240115389
#> a:66  -0.637907230 -0.009078883  0.023615461  0.663199343  0.653757354
#> b:67   0.450788590 -0.062873821 -0.311709236 -0.269350177 -0.247680133
#> a:68  -0.414796483  0.383526124 -0.825166783 -0.108896438 -0.689892631
#> a:69  -0.028384812 -0.072468078  0.037820894 -0.740576220 -0.862979587
#> c:70  -0.284977412 -0.114669140  0.385065868  0.547109773  0.762282745
#> c:71   0.206576887 -0.430165357 -0.288883705 -0.349192327 -0.177967566
#> a:72   0.156690833 -0.189798983 -0.378834362  0.180213227  0.287160335
#> a:73  -0.413142513  0.761024982 -0.192879947  0.742838076  0.280054360
#> a:74   0.761286462 -0.834898874  0.466265138 -0.636540405  0.058705114
#> a:75  -0.762150053  0.635495375 -0.992256066  0.479160212 -0.259581588
#> d:76   0.875415127 -0.584977614  0.907125307 -0.386974280  0.350842787
#> c:77   0.087770558 -0.628269122  0.707347636  0.097477990  0.710082182
#> a:78  -0.304967463  0.362256720 -0.353525767 -0.438409220 -0.934162493
#> c:79  -0.807186131  0.738442820 -0.774285419  0.904058441  0.240613307
#> a:80   0.410780304  0.403709712  0.370850642  0.065405306  0.033135213
#> b:81  -0.266098810 -0.114908997  0.255366501  0.693565072  0.915103756
#> b:82  -0.435143789  0.188562886  0.004388963 -0.278966470 -0.576359797
#> d:83  -0.718389745  0.244209838 -0.731686208  0.008843669 -0.517496100
#> c:84   0.214201577  0.346305452 -0.079507849 -0.618945776 -0.937338871
#> d:85  -0.544818861 -0.087807632 -0.654998557  0.351911522  0.176206635
#> b:86   0.172768170 -0.508885084  0.706994910  0.233978227  0.826505374
#> c:87   0.440223786  0.330539896  0.441762987  0.073534440  0.114210714
#> d:88  -0.651652390  0.510583850 -0.112496696  0.255070142 -0.208023826
#> b:89  -0.834429996  0.322064019 -0.758791145  0.759137703  0.317701106
#> a:90  -0.649002062  0.694085956 -0.967478789  0.641895812 -0.059293692
#> d:91  -0.639361914  0.379245216 -0.355321296 -0.128393301 -0.654735825
#> a:92   0.563083224 -0.080738772  0.685962051 -0.621118277 -0.389564467
#> b:93   0.587254501 -0.108123749  0.367607291 -0.882833532 -0.766905665
#> c:94   0.264763688 -0.527579511 -0.188975465 -0.364344236 -0.095431369
#> d:95  -0.296907926 -0.648621077  0.250362282 -0.121244575  0.236079985
#> b:96  -0.312956756  0.178811121  0.371340513  0.169590010  0.105256584
#> a:97  -0.170864645 -0.161816748 -0.579966030  0.181827175  0.133050067
#> a:98  -0.638458025  0.694352552 -0.979301340  0.594114892 -0.118252259
#> c:99   0.846897709 -0.478158245  0.414289768 -0.236908452  0.338237265
#> a:100 -0.442393463  0.609248056  0.026021601  0.421860466  0.026702544
#>                b:21          d:22          d:23        c:24        b:25
#> a:1   -0.5750936304  0.6647822086 -0.1326110437  0.63830427  0.88374235
#> c:2   -0.3892946235  0.0890204787 -0.0303588546 -0.03128718  0.51775717
#> a:3   -0.2659010278 -0.8033622999  0.8421198286  0.26541444  0.27803022
#> a:4    0.0714143295  0.8168663117 -0.8649237414 -0.23951713  0.07622956
#> a:5    0.9475374130 -0.3692168491 -0.3091636617 -0.27734428 -0.73574519
#> a:6   -0.4306279298 -0.6669740944  0.7403849912 -0.23296626  0.04234120
#> b:7    0.0333326306  0.2768454461  0.0308010285  0.38149649 -0.09867773
#> d:8   -0.0348898306 -0.2528677971  0.1105149358  0.24271931  0.43802303
#> b:9    0.0554482379 -0.7976669388  0.4922168136 -0.59320215 -0.47169025
#> b:10  -0.8669497627  0.2423866534  0.2967396092  0.26163840  0.78378203
#> b:11   0.5176443163 -0.7326438395  0.2536381350  0.08676971 -0.19887435
#> c:12  -0.0048210512 -0.9085243711  0.7200129439  0.08650730  0.04332004
#> b:13   0.5671480432  0.3382054830 -0.7036287676 -0.64908030 -0.75464907
#> c:14   0.3358723063 -0.3957887899  0.3057233288  0.02018760 -0.51763067
#> d:15  -0.2731037546 -0.0965199663  0.5737667418  0.77240774  0.31783719
#> b:16  -0.0202901183 -0.0602898905 -0.2398690541 -0.48449022  0.05380678
#> d:17  -0.4167712243  0.6407717453 -0.0210787504  0.87303217  0.70250896
#> b:18   0.3691471932  0.1378458675 -0.6396208438 -0.90298087 -0.53803263
#> a:19  -0.6803936405  0.3537605805  0.3768066398  0.43708848  0.37424284
#> b:20  -0.4903920028  0.0546576890  0.2516240462 -0.36146880 -0.09621849
#> b:21             NA -0.2337629173 -0.5422936586 -0.50261702 -0.81336552
#> d:22  -0.2337629173            NA -0.6309035451  0.20859120  0.34653830
#> d:23  -0.5422936586 -0.6309035451            NA  0.40482618  0.34569673
#> c:24  -0.5026170179  0.2085911978  0.4048261764          NA  0.79370000
#> b:25  -0.8133655247  0.3465382978  0.3456967268  0.79370000          NA
#> d:26  -0.2093353253 -0.3372615490  0.3868320064 -0.50190716 -0.39273645
#> d:27   0.2859042959  0.4047614743 -0.7450768342 -0.27338159  0.04365828
#> c:28  -0.9003008784  0.1048947346  0.5019554938  0.09615812  0.49715626
#> c:29   0.7259374103 -0.3519705573 -0.3731853411 -0.34944970 -0.36831034
#> c:30  -0.2619740466  0.5411550256 -0.0237887877  0.38182967  0.11095703
#> a:31   0.0877131162  0.2345488857 -0.5386107479 -0.78405397 -0.28223573
#> c:32   0.6369710169 -0.5585247051 -0.0782661297 -0.83039603 -0.94351273
#> c:33   0.3231162427 -0.9232314739  0.3891051160 -0.50327701 -0.45753015
#> a:34  -0.3444208381  0.5153242187 -0.1886229522 -0.29922846 -0.10836309
#> b:35  -0.3006494355  0.2617730688  0.2156688858  0.96871659  0.70434560
#> d:36  -0.7712255683  0.4642432902  0.1656562025  0.67556733  0.97516015
#> c:37  -0.2571575611  0.1472431002 -0.1266603581  0.13768933  0.56703010
#> c:38  -0.3223252437 -0.5593197947  0.8772062949  0.67097781  0.38088233
#> d:39   0.4304178037 -0.9539995631  0.4819937937 -0.12968825 -0.37961542
#> c:40  -0.0315501192 -0.7816726938  0.4689962372 -0.49204009 -0.21529168
#> c:41   0.7779629269  0.1989880451 -0.8247066811 -0.34492209 -0.38975425
#> c:42  -0.4116443963  0.0189542037  0.2078237980 -0.44919453 -0.18283375
#> c:43   0.8590445789 -0.4015587657 -0.3911025093 -0.41836027 -0.54889589
#> d:44   0.1418623575 -0.1005190325  0.1932283368  0.76719531  0.32921396
#> b:45   0.2632745736 -0.5586785793  0.4599346885  0.52178043  0.03907790
#> c:46   0.9444128891 -0.2735288645 -0.5187325717 -0.42263920 -0.63500527
#> b:47  -0.3758779719 -0.4130812659  0.6760108853  0.69885598  0.65010405
#> b:48  -0.2402995045 -0.5937299965  0.7472450585  0.61186156  0.46635345
#> a:49   0.0718251070 -0.3421271012 -0.0135433243 -0.87356839 -0.49609438
#> a:50  -0.5353427460 -0.3338134111  0.8698756703  0.55902208  0.31888709
#> a:51  -0.6545782013  0.4468344712 -0.0272377883 -0.23364611  0.25448169
#> b:52  -0.1655624459  0.5861231323 -0.1583084520  0.23346191 -0.01209776
#> b:53  -0.8432382199 -0.1993982848  0.8616326457  0.68631645  0.76560039
#> c:54   0.7162494517  0.4233788488 -0.8183295740 -0.03718986 -0.29870994
#> b:55  -0.4291359226  0.3715149962 -0.0931415155 -0.42294992 -0.07235103
#> a:56   0.4531773621  0.5466678980 -0.9374826379 -0.64759173 -0.44190388
#> a:57  -0.3980048377  0.6806745057 -0.3542811372 -0.29216587  0.05273503
#> c:58   0.3131488661  0.2721015699 -0.7090997578 -0.51513171 -0.12416886
#> b:59  -0.9709966385  0.2279106188  0.4782621963  0.49246623  0.87741803
#> c:60   0.3109509668 -0.6462402248  0.5251218113  0.28008602 -0.27209429
#> a:61  -0.0246527821  0.0722893203 -0.1451648459  0.32425595  0.51660442
#> c:62   0.4120687887  0.0244310336 -0.5750252235 -0.50444972 -0.17437025
#> d:63  -0.4186827700 -0.1703715572  0.2759307223  0.22123961  0.62295070
#> b:64  -0.5910902222 -0.0564930065  0.5992185391  0.91126771  0.85864538
#> a:65  -0.4556318431  0.8247552379 -0.3321522277  0.56791742  0.76187668
#> a:66   0.0170256340  0.1714399058 -0.0200408194 -0.21976488 -0.43702673
#> b:67  -0.4151421291 -0.4875959267  0.6153726809  0.34409926  0.56725081
#> a:68   0.0651468182 -0.4089911266  0.4782959051  0.70913445  0.30502890
#> a:69   0.8629582797 -0.1774698280 -0.4442121632 -0.07049629 -0.41728839
#> c:70  -0.0279633705  0.3874250105 -0.2817765644 -0.44501188 -0.41810870
#> c:71  -0.0341538125 -0.9122754003  0.7356776186  0.06147125  0.04247090
#> a:72  -0.6123969812 -0.6173681065  0.9190951569  0.23751829  0.41467709
#> a:73  -0.4667616144  0.8832630018 -0.2633040738  0.41612360  0.43124193
#> a:74   0.1291739937 -0.6833030803  0.2254754363 -0.56016095 -0.24101607
#> a:75  -0.2881334048 -0.1536919247  0.6118325009  0.86028952  0.43782746
#> d:76   0.0050243574  0.1334539690 -0.4153042597 -0.73501589 -0.18448822
#> c:77   0.2456142437  0.0008534038 -0.2864404272 -0.84524706 -0.72164152
#> a:78   0.5976217400  0.0061414207 -0.2960243230  0.37150336 -0.06632159
#> c:79  -0.5624871142  0.2845288193  0.4325400363  0.73042889  0.47246287
#> a:80  -0.3056572516  0.8790208265 -0.6165573476  0.04997296  0.43942965
#> b:81  -0.2908673056  0.2726065518  0.0004677528 -0.34091337 -0.24153606
#> b:82   0.7992464902  0.2137883463 -0.6198401966 -0.03422659 -0.49482777
#> d:83   0.3416008546 -0.4396257901  0.3632242562  0.47221365 -0.12275906
#> c:84   0.3782216435  0.2163642279 -0.4563510227  0.31077512  0.22034189
#> d:85  -0.1783057129 -0.7145567604  0.8831802132  0.28991019 -0.02608544
#> b:86  -0.0004986918  0.1656804051 -0.2660008125 -0.75784884 -0.50244816
#> c:87  -0.3026134049  0.8650360773 -0.6238690609 -0.03384794  0.38332005
#> d:88   0.3875402258  0.5911379784 -0.5758251287  0.15486258 -0.23836030
#> b:89  -0.3612506154 -0.2332929704  0.7043161509  0.49366501  0.13554053
#> a:90  -0.5784793418 -0.0335445582  0.6877515972  0.90494976  0.64705848
#> d:91   0.6384206926  0.1008002669 -0.3297627020  0.27879577 -0.28922300
#> a:92   0.4713686560  0.4923820068 -0.9158140705 -0.39444606 -0.18636736
#> b:93   0.5277621564  0.0692038590 -0.5822927302 -0.15546183 -0.05935458
#> c:94  -0.0198963788 -0.9307717820  0.7143249569 -0.04844002 -0.02650261
#> d:95   0.6316040058 -0.5293573946  0.0105280448 -0.61986414 -0.92146196
#> b:96   0.4042486942  0.6675011582 -0.7849764863 -0.28700107 -0.43659417
#> a:97  -0.3696880917 -0.7782227364  0.9759032876  0.30762308  0.21585940
#> a:98  -0.5459017039 -0.0550221128  0.6820928821  0.91766099  0.64672053
#> c:99  -0.4383301596 -0.2363682246  0.2500449750 -0.31067544  0.26216170
#> a:100  0.0553373595  0.8772404889 -0.6370766316  0.16217209  0.01899041
#>               d:26        d:27         c:28         c:29        c:30
#> a:1   -0.626596268  0.43102553  0.256535762 -0.175204399  0.10378508
#> c:2   -0.271249639  0.64830012  0.347396884  0.290642658 -0.66289807
#> a:3    0.080098810 -0.34066527  0.201366196  0.163388669 -0.52675493
#> a:4   -0.368907718  0.81454228 -0.072502985  0.134935428  0.01753061
#> a:5   -0.223049292  0.04046941 -0.920003670  0.638250440 -0.15900176
#> a:6    0.681574206 -0.40118650  0.646918068 -0.168289477 -0.39626285
#> b:7    0.101254513 -0.61930820 -0.129714064 -0.577387990  0.91568566
#> d:8   -0.628721279  0.53532718 -0.170710274  0.642304100 -0.78335866
#> b:9    0.773349441 -0.37519561  0.285169977  0.074244415 -0.43328610
#> b:10   0.032144512  0.17576842  0.803407891 -0.346685837 -0.16062483
#> b:11  -0.373238562  0.01619517 -0.629766952  0.734162634 -0.60149328
#> c:12   0.065759543 -0.26272505 -0.010728281  0.371869112 -0.64444075
#> b:13   0.283806054  0.12099334 -0.313452113 -0.005055721  0.34754341
#> c:14   0.396433115 -0.79175519 -0.264838122 -0.243958419  0.48369009
#> d:15  -0.037832953 -0.76903016  0.029660129 -0.514964614  0.62285779
#> b:16  -0.083304001  0.73418953  0.152643336  0.517585003 -0.81401004
#> d:17  -0.551963389 -0.06572728  0.039355254 -0.439983874  0.62588658
#> b:18   0.241711389  0.60615525 -0.044101264  0.367912600 -0.39884803
#> a:19   0.422799034 -0.67561129  0.641875301 -0.990039122  0.85388398
#> b:20   0.899958426 -0.43946953  0.794327385 -0.711240166  0.34066200
#> b:21  -0.209335325  0.28590430 -0.900300878  0.725937410 -0.26197405
#> d:22  -0.337261549  0.40476147  0.104894735 -0.351970557  0.54115503
#> d:23   0.386832006 -0.74507683  0.501955494 -0.373185341 -0.02378879
#> c:24  -0.501907165 -0.27338159  0.096158117 -0.349449705  0.38182967
#> b:25  -0.392736450  0.04365828  0.497156263 -0.368310342  0.11095703
#> d:26            NA -0.59703949  0.573069812 -0.498579226  0.17734188
#> d:27  -0.597039490          NA -0.327437065  0.637893129 -0.52027990
#> c:28   0.573069812 -0.32743707           NA -0.730700558  0.18537085
#> c:29  -0.498579226  0.63789313 -0.730700558           NA -0.79854122
#> c:30   0.177341880 -0.52027990  0.185370854 -0.798541216          NA
#> a:31   0.249714049  0.62467793  0.205757918  0.220445556 -0.39337533
#> c:32   0.601850228 -0.18423178 -0.264654236  0.294671609 -0.23331266
#> c:33   0.352298839 -0.10006545 -0.100964694  0.525806432 -0.75419497
#> a:34   0.631812414 -0.21507033  0.573163489 -0.732473606  0.62085350
#> b:35  -0.678888076 -0.11710563 -0.135003498 -0.167682315  0.33428810
#> d:36  -0.441575604  0.24180057  0.481205218 -0.287548771  0.03871027
#> c:37  -0.558045866  0.74058511  0.102285384  0.432159332 -0.65298913
#> c:38  -0.009558143 -0.68250652  0.115326139 -0.200445811  0.05712420
#> d:39   0.082741031 -0.28188923 -0.380795590  0.534695311 -0.55969214
#> c:40   0.484609430 -0.06277692  0.282106111  0.305810618 -0.74712966
#> c:41  -0.619829834  0.80355385 -0.808321126  0.816195076 -0.39815505
#> c:42   0.920414503 -0.40655394  0.745904926 -0.646209723  0.29047453
#> c:43  -0.402691681  0.51161657 -0.824308784  0.972192970 -0.68889975
#> d:44  -0.708974876 -0.12011337 -0.527600019  0.214146893  0.08921910
#> b:45  -0.366796797 -0.37515901 -0.504964471  0.288645706 -0.09183623
#> c:46  -0.410288789  0.48433441 -0.910547649  0.907962276 -0.51061583
#> b:47  -0.395318053 -0.15814498  0.081304551  0.122135190 -0.33070114
#> b:48  -0.281219973 -0.29714935 -0.005810318  0.162862693 -0.33937382
#> a:49   0.706696065  0.09374896  0.342606277  0.115470483 -0.45055322
#> a:50   0.390602496 -0.92784279  0.448935356 -0.670062520  0.46244626
#> a:51   0.524405669  0.03078050  0.844150193 -0.614942773  0.22571582
#> b:52   0.215926450 -0.43947055  0.141787270 -0.750990493  0.98525126
#> b:53   0.115241024 -0.52190176  0.664324597 -0.531919851  0.11425179
#> c:54  -0.685362625  0.55537911 -0.853863666  0.515990369  0.06771488
#> b:55   0.715840130 -0.12914988  0.714059417 -0.640423001  0.36358689
#> a:56  -0.090383470  0.70514525 -0.275647645  0.293415201 -0.05519465
#> a:57   0.423470185  0.09988534  0.582439995 -0.599617266  0.45901716
#> c:58  -0.356585439  0.95855035 -0.230875791  0.641511200 -0.61399919
#> b:59   0.056381554 -0.08672681  0.842369279 -0.546958457  0.06609671
#> c:60   0.075866622 -0.69628423 -0.387031508  0.042788697  0.14259612
#> a:61  -0.815793580  0.70007198 -0.244116687  0.598516433 -0.61593725
#> c:62  -0.393042025  0.91444678 -0.342471313  0.809011110 -0.78987609
#> d:63  -0.348586008  0.42991676  0.282405401  0.320286717 -0.70306324
#> b:64  -0.441444636 -0.20711130  0.224829260 -0.190856087  0.02333933
#> a:65  -0.636708647  0.47244205  0.155789893 -0.202868363  0.25250880
#> a:66   0.667899738 -0.61196793  0.189588532 -0.657206840  0.77409177
#> b:67  -0.208646064  0.06095057  0.269028804  0.246150852 -0.64780059
#> a:68  -0.509370103 -0.28931755 -0.391558993  0.218568364 -0.07448204
#> a:69  -0.636647656  0.39741173 -0.983538719  0.822780957 -0.33651974
#> c:70   0.661731340 -0.27407802  0.303948199 -0.589019595  0.63295136
#> c:71   0.112089719 -0.27517241  0.036263655  0.344325565 -0.64494529
#> a:72   0.367949287 -0.46342373  0.620628852 -0.222101965 -0.31586930
#> a:73  -0.082883194 -0.06437435  0.328903858 -0.723975957  0.83427272
#> a:74   0.256949908  0.23674172  0.093647931  0.549379362 -0.90453525
#> a:75  -0.201658934 -0.65650322 -0.016396732 -0.372146885  0.45356470
#> d:76   0.232934863  0.62812828  0.270490191  0.260116250 -0.51854939
#> c:77   0.766758954 -0.10363420  0.171503500 -0.175047675  0.13686350
#> a:78  -0.803445813  0.23633097 -0.885696073  0.557730521 -0.04843250
#> c:79   0.102291441 -0.69685362  0.365419657 -0.838924028  0.85030075
#> a:80  -0.374355927  0.69078044  0.218545598 -0.111633537  0.11026982
#> b:81   0.801613050 -0.44031484  0.566398391 -0.751125531  0.61499734
#> b:82  -0.457720413  0.18050890 -0.892105169  0.377535152  0.25333172
#> d:83  -0.238129145 -0.52354919 -0.541871282  0.116008991  0.19384914
#> c:84  -0.972663805  0.69022460 -0.679548115  0.683773646 -0.35178020
#> d:85   0.442165772 -0.90313698  0.180532109 -0.309712295  0.14513299
#> b:86   0.769132530 -0.05417793  0.394394626 -0.330920621  0.18812729
#> c:87  -0.288813801  0.67983431  0.259040756 -0.130610423  0.10458031
#> d:88  -0.279866944 -0.01612335 -0.496146365 -0.167091877  0.71949450
#> b:89   0.406302973 -0.96534207  0.296569948 -0.698947588  0.64535791
#> a:90  -0.109828269 -0.64861329  0.282849223 -0.565070602  0.48751034
#> d:91  -0.512932851 -0.05252541 -0.837839637  0.256758479  0.34014847
#> a:92  -0.522933680  0.94713380 -0.462033103  0.596323738 -0.33414451
#> b:93  -0.750117138  0.88137860 -0.641131240  0.891184357 -0.66621238
#> c:94   0.200423369 -0.26396971  0.074037747  0.345385586 -0.67508953
#> d:95   0.583703774 -0.42165286 -0.327898894  0.128628963  0.03848962
#> b:96  -0.014291341  0.18488793 -0.321361402 -0.147598144  0.58288527
#> a:97   0.346985165 -0.68550338  0.348715464 -0.174846119 -0.18640510
#> a:98  -0.156642114 -0.62375959  0.236209438 -0.512919886  0.45090240
#> c:99   0.260295270  0.29777117  0.592546670  0.115801617 -0.66499970
#> a:100 -0.228368689  0.13123524 -0.150935898 -0.377506516  0.76773591
#>                a:31        c:32         c:33         a:34         b:35
#> a:1   -0.0337538872 -0.95744420 -0.660224837 -0.050685494  0.642238017
#> c:2    0.5207876026 -0.40407287  0.141756772 -0.210780364 -0.059507635
#> a:3   -0.3805799824 -0.02453745  0.672150552 -0.611200283  0.158794990
#> a:4    0.6661910551 -0.26735688 -0.542818853  0.335706573 -0.129403525
#> a:5   -0.2255642073  0.57701281  0.335851458 -0.467282649 -0.094584474
#> a:6    0.1509411472  0.29085549  0.685120809  0.045380948 -0.430688490
#> b:7   -0.6140183426 -0.04716226 -0.554483147  0.346107466  0.381993940
#> d:8    0.0008530246 -0.38214329  0.328520014 -0.804078064  0.300429157
#> b:9    0.2475676006  0.73682654  0.862929696  0.043091141 -0.716816195
#> b:10   0.2829572002 -0.61027583 -0.158047965  0.184003819  0.111580881
#> b:11  -0.4174411023  0.22106351  0.644288870 -0.933580031  0.186032167
#> c:12  -0.3178163888  0.18216341  0.815277822 -0.701840484  0.025840170
#> b:13   0.4312387878  0.57734041 -0.193512189  0.571107356 -0.554631468
#> c:14  -0.5908384622  0.50042801  0.137518881  0.066485176  0.006001490
#> d:15  -0.9479062607 -0.32434987 -0.293054516 -0.108421737  0.708843712
#> b:16   0.7842162609  0.04648213  0.396122874 -0.149055941 -0.471246933
#> d:17  -0.5556240410 -0.85946004 -0.855513939  0.019532865  0.889550952
#> b:18   0.9547679921  0.51796969  0.233892572  0.338866886 -0.844301868
#> a:19  -0.3403441088 -0.32750471 -0.568779804  0.668410411  0.271766571
#> b:20   0.3771168236  0.27322737 -0.001922616  0.853166213 -0.556602424
#> b:21   0.0877131162  0.63697102  0.323116243 -0.344420838 -0.300649435
#> d:22   0.2345488857 -0.55852471 -0.923231474  0.515324219  0.261773069
#> d:23  -0.5386107479 -0.07826613  0.389105116 -0.188622952  0.215668886
#> c:24  -0.7840539683 -0.83039603 -0.503277006 -0.299228457  0.968716594
#> b:25  -0.2822357292 -0.94351273 -0.457530149 -0.108363095  0.704345602
#> d:26   0.2497140488  0.60185023  0.352298839  0.631812414 -0.678888076
#> d:27   0.6246779294 -0.18423178 -0.100065451 -0.215070330 -0.117105628
#> c:28   0.2057579180 -0.26465424 -0.100964694  0.573163489 -0.135003498
#> c:29   0.2204455562  0.29467161  0.525806432 -0.732473606 -0.167682315
#> c:30  -0.3933753301 -0.23331266 -0.754194975  0.620853497  0.334288101
#> a:31             NA  0.30850116  0.144605821  0.412740205 -0.773433831
#> c:32   0.3085011649          NA  0.666248302  0.114245299 -0.810637144
#> c:33   0.1446058208  0.66624830           NA -0.440699336 -0.532746144
#> a:34   0.4127402054  0.11424530 -0.440699336           NA -0.409367347
#> b:35  -0.7734338307 -0.81063714 -0.532746144 -0.409367347           NA
#> d:36  -0.0872267244 -0.94349836 -0.494521683 -0.056703976  0.608767821
#> c:37   0.3506121559 -0.53030525  0.041771220 -0.418531882  0.170464019
#> c:38  -0.8525401040 -0.23459662  0.228388578 -0.479466260  0.571654051
#> d:39  -0.3397073259  0.51035503  0.861058741 -0.701511362 -0.113585078
#> c:40   0.3391417385  0.49576985  0.911445441 -0.219970038 -0.594362955
#> c:41   0.3397655797  0.15673608  0.010192643 -0.378605168 -0.108067859
#> c:42   0.4311040669  0.35709040  0.057450563  0.844763716 -0.633286901
#> c:43   0.1569603358  0.45379569  0.544584704 -0.676487119 -0.226883133
#> d:44  -0.8471506710 -0.45029248 -0.170979512 -0.720182514  0.865145918
#> b:45  -0.8540348482 -0.04899626  0.275022989 -0.782554754  0.576191016
#> c:46   0.1248170546  0.47959158  0.399377897 -0.569780936 -0.207930306
#> b:47  -0.5954795160 -0.51958766  0.219207095 -0.725004696  0.647971452
#> b:48  -0.6665520085 -0.32123368  0.370626558 -0.762870310  0.561937847
#> a:49   0.7730989664  0.68159819  0.609506065  0.355369602 -0.955357456
#> a:50  -0.7284290588 -0.15610134 -0.001611564  0.071896837  0.383872491
#> a:51   0.6023745856 -0.13825737 -0.285707987  0.820863819 -0.389830398
#> b:52  -0.2591221605 -0.13090926 -0.747723900  0.696806328  0.203282388
#> b:53  -0.4975216453 -0.55197190 -0.025514734 -0.092989184  0.497406821
#> c:54   0.0009652623 -0.01995747 -0.360324672 -0.244488970  0.203653019
#> b:55   0.5878101350  0.16055536 -0.227424650  0.947928140 -0.564634651
#> a:56   0.7770019653  0.25572541 -0.233658868  0.383901855 -0.513060413
#> a:57   0.5966376909 -0.06891574 -0.518151972  0.938295370 -0.375663686
#> c:58   0.7994828415  0.04141140  0.087882159 -0.105660537 -0.388129131
#> b:59  -0.0025326938 -0.70332711 -0.265666390  0.195911840  0.315555785
#> c:60  -0.8099519554  0.29637544  0.341492847 -0.441638273  0.284835428
#> a:61   0.0382806817 -0.55758184  0.021797882 -0.703479385  0.424461951
#> c:62   0.6894669588  0.12422476  0.307970562 -0.342076331 -0.368803892
#> d:63   0.1670359001 -0.46904674  0.274709858 -0.496087961  0.178964433
#> b:64  -0.6646676688 -0.78475824 -0.183466364 -0.475060411  0.843575235
#> a:65   0.0145680910 -0.90487153 -0.804685512  0.080583460  0.604473337
#> a:66  -0.0592118791  0.40374046 -0.271536448  0.772111034 -0.290658300
#> b:67  -0.1581688873 -0.35377207  0.458935808 -0.626336552  0.264487123
#> a:68  -0.8744388198 -0.31623585  0.119815712 -0.798593654  0.751595345
#> a:69  -0.1896270229  0.21351832  0.189485338 -0.696487520  0.157906253
#> c:70   0.3531921211  0.37783291 -0.327712968  0.937267683 -0.507022535
#> c:71  -0.2867441253  0.19617362  0.826816025 -0.663982122 -0.010203461
#> a:72  -0.2203695297 -0.10160049  0.507204739 -0.206121162  0.042299504
#> a:73  -0.0751508430 -0.57645288 -0.959376091  0.649533053  0.384264903
#> a:74   0.4746118450  0.46033340  0.890537256 -0.344303029 -0.597444939
#> a:75  -0.9787790527 -0.43401542 -0.229603796 -0.310098789  0.810713662
#> d:76   0.9821117088  0.25673787  0.243329283  0.307447488 -0.743343000
#> c:77   0.6198848916  0.75496914  0.183485170  0.715183542 -0.885846277
#> a:78  -0.5216964522 -0.16523649 -0.129349812 -0.702321617  0.576182318
#> c:79  -0.6875244405 -0.48314308 -0.605186051  0.324567549  0.618666539
#> a:80   0.5297012178 -0.57068129 -0.671697245  0.367150969  0.091657629
#> b:81   0.2914045902  0.29625308 -0.252232355  0.958524058 -0.476212121
#> b:82  -0.2393300179  0.19834056 -0.261146426 -0.199388167  0.180071747
#> d:83  -0.8969598554  0.06076078  0.120879897 -0.556186928  0.531134695
#> c:84  -0.1267909188 -0.42280133 -0.173810357 -0.703066928  0.511240247
#> d:85  -0.6885413489  0.21493783  0.416607993 -0.185414982  0.155826077
#> b:86   0.7005909773  0.55787824  0.038668825  0.842556054 -0.835175997
#> c:87   0.5991714978 -0.50094606 -0.636811619  0.433727241 -0.001989305
#> d:88  -0.2573737147 -0.05904586 -0.691014578  0.266148215  0.289677974
#> b:89  -0.7545465414 -0.04542788 -0.115997582  0.181485278  0.354128706
#> a:90  -0.8621206245 -0.59074654 -0.322552717 -0.140163657  0.797447940
#> d:91  -0.5736795936  0.02670005 -0.278732165 -0.347076447  0.459614362
#> a:92   0.6361183050 -0.01992345 -0.191016253 -0.062149561 -0.207825679
#> b:93   0.3015019640 -0.08527335  0.138647090 -0.622512385  0.043296245
#> c:94  -0.1889734265  0.28035971  0.878105954 -0.598729194 -0.128062326
#> d:95   0.0119232813  0.93954032  0.514503854  0.128929256 -0.601102900
#> b:96   0.2458548356  0.17602896 -0.589181148  0.567872873 -0.171408634
#> a:97  -0.5233462805  0.05100952  0.557587892 -0.342296826  0.148177694
#> a:98  -0.8810303740 -0.59603387 -0.302456336 -0.200003819  0.820665607
#> c:99   0.6010533398 -0.01692400  0.461926069  0.005582627 -0.429637351
#> a:100 -0.0007701686 -0.28723621 -0.896973273  0.533618234  0.246666326
#>                d:36        c:37         c:38         d:39        c:40
#> a:1    0.9474167808  0.67922469 -0.027283721 -0.620041023 -0.45018401
#> c:2    0.6410210231  0.94907165 -0.200908634 -0.150614656  0.40818310
#> a:3    0.1510525647  0.25069251  0.785749836  0.736746917  0.68574425
#> a:4    0.2805184046  0.43203867 -0.868987070 -0.757173499 -0.41684654
#> a:5   -0.7632596666 -0.38486577 -0.018778514  0.579850021 -0.07054194
#> a:6   -0.0214659656  0.05901578  0.360933126  0.423266315  0.87969020
#> b:7   -0.2165108027 -0.80274192  0.231917043 -0.222547471 -0.70825149
#> d:8    0.4749248359  0.86778239  0.220984639  0.347516417  0.34463369
#> b:9   -0.5202177913 -0.22561835  0.155919925  0.609285468  0.89671656
#> b:10   0.8333614015  0.66104167  0.037307185 -0.415415364  0.23210311
#> b:11  -0.2790466673  0.13437058  0.498857140  0.893296726  0.35663867
#> c:12  -0.0699265336  0.19752094  0.694456798  0.880450812  0.74529400
#> b:13  -0.6628339681 -0.55068461 -0.734291912 -0.309846496 -0.30957408
#> c:14  -0.6807377105 -0.92946518  0.420569454  0.416959473 -0.12495090
#> d:15   0.1197187689 -0.49316873  0.796536110  0.132678494 -0.40700415
#> b:16   0.2152582411  0.78804672 -0.468652849  0.000540413  0.58357763
#> d:17   0.6569148813  0.06994449  0.257051759 -0.537011378 -0.82464298
#> b:18  -0.3507760896  0.18226520 -0.886066860 -0.192182935  0.31245621
#> a:19   0.2762381842 -0.47998565  0.268511201 -0.504260728 -0.39303770
#> b:20  -0.0979467163 -0.37456500 -0.177466388 -0.333686403  0.26506164
#> b:21  -0.7712255683 -0.25715756 -0.322325244  0.430417804 -0.03155012
#> d:22   0.4642432902  0.14724310 -0.559319795 -0.953999563 -0.78167269
#> d:23   0.1656562025 -0.12666036  0.877206295  0.481993794  0.46899624
#> c:24   0.6755673323  0.13768933  0.670977812 -0.129688249 -0.49204009
#> b:25   0.9751601467  0.56703010  0.380882327 -0.379615417 -0.21529168
#> d:26  -0.4415756038 -0.55804587 -0.009558143  0.082741031  0.48460943
#> d:27   0.2418005664  0.74058511 -0.682506524 -0.281889226 -0.06277692
#> c:28   0.4812052183  0.10228538  0.115326139 -0.380795590  0.28210611
#> c:29  -0.2875487712  0.43215933 -0.200445811  0.534695311  0.30581062
#> c:30   0.0387102694 -0.65298913  0.057124202 -0.559692135 -0.74712966
#> a:31  -0.0872267244  0.35061216 -0.852540104 -0.339707326  0.33914174
#> c:32  -0.9434983646 -0.53030525 -0.234596619  0.510355028  0.49576985
#> c:33  -0.4945216834  0.04177122  0.228388578  0.861058741  0.91144544
#> a:34  -0.0567039759 -0.41853188 -0.479466260 -0.701511362 -0.21997004
#> b:35   0.6087678214  0.17046402  0.571654051 -0.113585078 -0.59436296
#> d:36             NA  0.68394797  0.176480260 -0.492449143 -0.22346564
#> c:37   0.6839479743          NA -0.142040572 -0.116272310  0.22065207
#> c:38   0.1764802604 -0.14204057           NA  0.551414270  0.15524655
#> d:39  -0.4924491434 -0.11627231  0.551414270           NA  0.62246871
#> c:40  -0.2234656407  0.22065207  0.155246554  0.622468707          NA
#> c:41  -0.2477601492  0.30762716 -0.584158592  0.030492697 -0.20229418
#> c:42  -0.1754970411 -0.38679085 -0.228845194 -0.294047822  0.30715408
#> c:43  -0.4883414482  0.20980875 -0.197606172  0.593900393  0.25972052
#> d:44   0.2121542259  0.04539587  0.635920099  0.322019769 -0.41519761
#> b:45  -0.1261546243 -0.15670848  0.798555508  0.719194097 -0.01715905
#> c:46  -0.5725134816  0.05765004 -0.279799744  0.491276986  0.07493696
#> b:47   0.5340203501  0.44886524  0.816730496  0.449495110  0.22633728
#> b:48   0.3208156844  0.27469721  0.892139410  0.631377608  0.31032163
#> a:49  -0.4110546243  0.00481002 -0.436569711  0.144486407  0.75704717
#> a:50   0.1147382174 -0.46517088  0.839419264  0.216062984  0.03183840
#> a:51   0.3435988952  0.11276278 -0.427584020 -0.688619553  0.09549636
#> b:52  -0.0562860585 -0.67836882 -0.100191284 -0.604001780 -0.74639031
#> b:53   0.6303256797  0.16624359  0.772643404  0.062640847  0.17740193
#> c:54  -0.2102352934  0.01313568 -0.447961865 -0.152980483 -0.62716292
#> b:55  -0.0005802918 -0.22434004 -0.492229195 -0.609904496  0.06505560
#> a:56  -0.2429487592  0.10645582 -0.986087513 -0.491577974 -0.22657152
#> a:57   0.1648785847 -0.09532970 -0.644601424 -0.847137282 -0.23460161
#> c:58   0.0843787989  0.67696463 -0.765062821 -0.209069040  0.15414886
#> b:59   0.8648025262  0.47978854  0.274347281 -0.399630749  0.09819750
#> c:60  -0.4666735635 -0.59231634  0.746955643  0.727747255  0.03984620
#> a:61   0.5917103092  0.90914155  0.037847876  0.069930731  0.04294281
#> c:62   0.0048074697  0.70181642 -0.595632609  0.060568405  0.31235080
#> d:63   0.6678763503  0.91444586  0.193826353  0.135931101  0.47188737
#> b:64   0.7453251270  0.38526505  0.764622629  0.085854862 -0.11155595
#> a:65   0.8461142960  0.55383089 -0.193760829 -0.753583152 -0.62865756
#> a:66  -0.4930653675 -0.89938096 -0.135511548 -0.275081450 -0.29433655
#> b:67   0.5202933577  0.67371024  0.562723433  0.441917151  0.58023797
#> a:68   0.1503494453  0.03516535  0.829455706  0.568760085 -0.10219806
#> a:69  -0.3972885019  0.04963853 -0.064273853  0.453306170 -0.17551467
#> c:70  -0.3809148007 -0.64688831 -0.505476859 -0.523607698 -0.23950431
#> c:71  -0.0689086133  0.19452289  0.682835413  0.867785039  0.77478866
#> a:72   0.2996231178  0.19763456  0.690468069  0.432334088  0.68631284
#> a:73   0.4562952620 -0.15912835 -0.223724017 -0.902949472 -0.80194970
#> a:74  -0.1960648181  0.41488211 -0.028262756  0.586430476  0.95044571
#> a:75   0.2433593307 -0.29362642  0.872453910  0.216576585 -0.34424825
#> d:76   0.0017670835  0.47093227 -0.750116281 -0.253534197  0.46504915
#> c:77  -0.6523471189 -0.50882421 -0.598694583 -0.148794957  0.22997047
#> a:78  -0.0963749446  0.03842488  0.185122297  0.290081068 -0.47017529
#> c:79   0.3286431330 -0.45358842  0.522873803 -0.329577440 -0.55184001
#> a:80   0.6123726834  0.55221333 -0.655501604 -0.870559192 -0.43528484
#> b:81  -0.2384370345 -0.60244355 -0.309682888 -0.480713412 -0.07974696
#> b:82  -0.4813065781 -0.37266914 -0.236015431  0.041459397 -0.61478306
#> d:83  -0.2995493162 -0.45836529  0.715892597  0.600337020 -0.21122408
#> c:84   0.2892269533  0.58181215 -0.079606941  0.046842880 -0.34142620
#> d:85  -0.2377775355 -0.51655700  0.864626412  0.629499591  0.32527736
#> b:86  -0.4138343649 -0.36928757 -0.639333826 -0.357011208  0.19590062
#> c:87   0.5629093110  0.52088518 -0.704834300 -0.878104159 -0.38596798
#> d:88  -0.2322058659 -0.51697574 -0.277076513 -0.421564766 -0.89522431
#> b:89  -0.0669169528 -0.68397243  0.728719323  0.150709508 -0.15414978
#> a:90   0.4690960622 -0.16655558  0.840325365  0.023864470 -0.30189415
#> d:91  -0.3473299763 -0.40937806  0.118890481  0.159512919 -0.64805298
#> a:92   0.0160292846  0.48772373 -0.822395543 -0.346689925 -0.22122475
#> b:93   0.0741281902  0.67020301 -0.370678429  0.136373846  0.01212830
#> c:94  -0.1257501910  0.17825140  0.612251945  0.863567213  0.84276481
#> d:95  -0.9785315700 -0.76802081 -0.049798764  0.510684246  0.27822182
#> b:96  -0.3458838562 -0.45193210 -0.688059769 -0.582825049 -0.68568175
#> a:97   0.0382465055 -0.10455398  0.879549500  0.658842504  0.57644337
#> a:98   0.4682268386 -0.14056699  0.856205040  0.060168280 -0.29815659
#> c:99   0.3430240333  0.65086740 -0.118287794  0.048188745  0.76347436
#> a:100  0.0802677527 -0.29733471 -0.469368217 -0.784742033 -0.91818535
#>               c:41         c:42         c:43        d:44         b:45
#> a:1    0.016302717 -0.321433043 -0.359348329  0.26759574 -0.169447736
#> c:2    0.126902977 -0.085720223  0.067955252 -0.23376546 -0.356624942
#> a:3   -0.419036212 -0.146189506  0.092072811  0.29503493  0.577425801
#> a:4    0.578451740 -0.044069045  0.053017496 -0.33858499 -0.706869452
#> a:5    0.615220085 -0.498246836  0.792886705  0.37665201  0.535681644
#> a:6   -0.639317787  0.559736415 -0.214328175 -0.43409801 -0.067421732
#> b:7   -0.273458775  0.067564445 -0.413434727  0.33067063  0.249850875
#> d:8    0.321527990 -0.647100024  0.464919858  0.38399427  0.324796435
#> b:9   -0.350175889  0.544285771  0.125099603 -0.50969835 -0.031716608
#> b:10  -0.438955149  0.282076909 -0.550280624 -0.28807051 -0.438540119
#> b:11   0.326764507 -0.689358298  0.749686308  0.61215894  0.828587193
#> c:12  -0.225050162 -0.221370532  0.332548904  0.28724456  0.627246791
#> b:13   0.396891519  0.322615272  0.151609551 -0.46406476 -0.466439992
#> c:14  -0.279155932  0.121610727 -0.029247607  0.24406914  0.501970283
#> d:15  -0.548847541 -0.158129005 -0.437912125  0.66482007  0.656412333
#> b:16   0.354462632  0.028951651  0.357470572 -0.48200961 -0.472201676
#> d:17  -0.142148129 -0.363812900 -0.488678790  0.59309336  0.189545155
#> b:18   0.499045908  0.344214129  0.361235500 -0.78469882 -0.735093337
#> a:19  -0.793385172  0.549970669 -0.948943045 -0.08703570 -0.177539346
#> b:20  -0.666053655  0.995228762 -0.675465505 -0.80128204 -0.646792299
#> b:21   0.777962927 -0.411644396  0.859044579  0.14186236  0.263274574
#> d:22   0.198988045  0.018954204 -0.401558766 -0.10051903 -0.558678579
#> d:23  -0.824706681  0.207823798 -0.391102509  0.19322834  0.459934688
#> c:24  -0.344922090 -0.449194534 -0.418360268  0.76719531  0.521780426
#> b:25  -0.389754247 -0.182833754 -0.548895885  0.32921396  0.039077900
#> d:26  -0.619829834  0.920414503 -0.402691681 -0.70897488 -0.366796797
#> d:27   0.803553853 -0.406553940  0.511616566 -0.12011337 -0.375159009
#> c:28  -0.808321126  0.745904926 -0.824308784 -0.52760002 -0.504964471
#> c:29   0.816195076 -0.646209723  0.972192970  0.21414689  0.288645706
#> c:30  -0.398155050  0.290474532 -0.688899753  0.08921910 -0.091836233
#> a:31   0.339765580  0.431104067  0.156960336 -0.84715067 -0.854034848
#> c:32   0.156736079  0.357090399  0.453795690 -0.45029248 -0.048996259
#> c:33   0.010192643  0.057450563  0.544584704 -0.17097951  0.275022989
#> a:34  -0.378605168  0.844763716 -0.676487119 -0.72018251 -0.782554754
#> b:35  -0.108067859 -0.633286901 -0.226883133  0.86514592  0.576191016
#> d:36  -0.247760149 -0.175497041 -0.488341448  0.21215423 -0.126154624
#> c:37   0.307627158 -0.386790853  0.209808748  0.04539587 -0.156708476
#> c:38  -0.584158592 -0.228845194 -0.197606172  0.63592010  0.798555508
#> d:39   0.030492697 -0.294047822  0.593900393  0.32201977  0.719194097
#> c:40  -0.202294176  0.307154077  0.259720516 -0.41519761 -0.017159050
#> c:41            NA -0.607438659  0.817147398  0.13891473 -0.008592725
#> c:42  -0.607438659           NA -0.601538113 -0.84113783 -0.661591157
#> c:43   0.817147398 -0.601538113           NA  0.21635812  0.341890084
#> d:44   0.138914729 -0.841137826  0.216358123          NA  0.871792976
#> b:45  -0.008592725 -0.661591157  0.341890084  0.87179298           NA
#> c:46   0.870063831 -0.594746523  0.973196721  0.23212466  0.316421015
#> b:47  -0.283800364 -0.503433092  0.001512277  0.65886111  0.676433370
#> b:48  -0.302488915 -0.477270442  0.088482753  0.67162283  0.792048270
#> a:49  -0.058231034  0.677016088  0.120903476 -0.88379499 -0.578681546
#> a:50  -0.883251953  0.258350701 -0.619587063  0.28576569  0.444205171
#> a:51  -0.440556224  0.807749262 -0.690995985 -0.79773683 -0.884676727
#> b:52  -0.300780913  0.342291452 -0.628432443 -0.02430355 -0.202778811
#> b:53  -0.819107491  0.122825417 -0.633672175  0.25130454  0.272975924
#> c:54   0.871532623 -0.651540786  0.570936890  0.37727203  0.123916642
#> b:55  -0.416633835  0.926893380 -0.630221234 -0.87493227 -0.870650819
#> a:56   0.692460626  0.098619729  0.308338866 -0.51895735 -0.690274329
#> a:57  -0.208411829  0.729843003 -0.613205569 -0.75016904 -0.923699628
#> c:58   0.748174453 -0.194273710  0.530448911 -0.35850948 -0.504667210
#> b:59  -0.637567665  0.275211451 -0.722535949 -0.11098090 -0.262742509
#> c:60  -0.217455649 -0.271927761  0.187758307  0.60374627  0.872225940
#> a:61   0.469194390 -0.733729618  0.413298686  0.42647808  0.206985970
#> c:62   0.771944191 -0.325907773  0.701186126 -0.22787167 -0.285880139
#> d:63  -0.008888942 -0.273933292  0.102364322  0.08071479  0.026847823
#> b:64  -0.402013230 -0.428328743 -0.316499212  0.67800549  0.536607939
#> a:65   0.127410994 -0.302257577 -0.352224733  0.22795799 -0.258619116
#> a:66  -0.384076916  0.656774878 -0.474835556 -0.35769458 -0.262037715
#> b:67  -0.239160796 -0.275292509  0.077253439  0.26120154  0.351444273
#> a:68  -0.053026568 -0.725715868  0.216940613  0.93783315  0.961298957
#> a:69   0.823173632 -0.815380239  0.882837700  0.55919017  0.544892260
#> c:70  -0.226388122  0.777149008 -0.461268929 -0.66382033 -0.646697889
#> c:71  -0.257516983 -0.169378054  0.303245414  0.23859028  0.588711813
#> a:72  -0.726495701  0.253805910 -0.310954439 -0.01876845  0.236416954
#> a:73  -0.228804368  0.218763945 -0.730689037 -0.03238225 -0.412000239
#> a:74   0.091347447  0.113312467  0.477118834 -0.38137583 -0.057161224
#> a:75  -0.481157804 -0.328201629 -0.336460770  0.78473858  0.756878215
#> d:76   0.283392058  0.400465564  0.165792220 -0.81799584 -0.799483203
#> c:77  -0.024904135  0.769446305 -0.052460567 -0.84438468 -0.636302904
#> a:78   0.623229425 -0.929309314  0.598257750  0.84395453  0.697544026
#> c:79  -0.683007814  0.159909127 -0.793619276  0.34640280  0.211542095
#> a:80   0.289002835  0.009859497 -0.248420322 -0.27055873 -0.696273789
#> b:81  -0.505603002  0.913115721 -0.653528829 -0.70186170 -0.633399969
#> b:82   0.683193226 -0.543567470  0.517081916  0.44168933  0.321865821
#> d:83  -0.042775415 -0.530222272  0.236234315  0.81833349  0.939846256
#> c:84   0.755298176 -0.936037385  0.596945338  0.63326299  0.357060659
#> d:85  -0.691405956  0.153690434 -0.219542611  0.29424696  0.633378905
#> b:86  -0.139866197  0.868150470 -0.256536819 -0.93399361 -0.804951106
#> c:87   0.270028240  0.096210861 -0.260804514 -0.36465026 -0.764122805
#> d:88   0.334651970 -0.212836919 -0.032235139  0.28559990  0.035833043
#> b:89  -0.786292108  0.265730825 -0.590398999  0.29238084  0.432624014
#> a:90  -0.663034913 -0.144549571 -0.578603324  0.62272709  0.549681226
#> d:91   0.467779678 -0.648044962  0.390691382  0.70573344  0.596188843
#> a:92   0.889202095 -0.344151091  0.535927839 -0.17008930 -0.423528232
#> b:93   0.891632370 -0.726420020  0.798944004  0.24048099  0.087601906
#> c:94  -0.259540280 -0.079184409  0.308786340  0.12475467  0.504695383
#> d:95   0.043052451  0.303588636  0.335092168 -0.24132930  0.141179040
#> b:96   0.406005854  0.128699010 -0.024426485 -0.21660984 -0.424218970
#> a:97  -0.694548835  0.105601407 -0.183071525  0.23243575  0.557931641
#> a:98  -0.624695145 -0.202233098 -0.529031390  0.66652860  0.592797957
#> c:99  -0.193200581  0.347195813 -0.050418076 -0.55401528 -0.437455263
#> a:100  0.216604848  0.004422320 -0.314043448  0.02891767 -0.337457274
#>              c:46         b:47         b:48         a:49         a:50
#> a:1   -0.39054174  0.368030731  0.139246448 -0.521443488 -0.106804571
#> c:2   -0.10500203  0.341349864  0.175089210  0.269108059 -0.407358540
#> a:3   -0.09973401  0.833966779  0.897436977  0.059011401  0.501226288
#> a:4    0.12218675 -0.522409034 -0.693010232  0.049682863 -0.797580026
#> a:5    0.87750912 -0.171698016 -0.003948339 -0.121077217 -0.261853767
#> a:6   -0.38660224  0.293093453  0.355365260  0.644099551  0.421814739
#> b:7   -0.22632970 -0.236094867 -0.167405800 -0.547522709  0.508477987
#> d:8    0.29217243  0.720476782  0.635607008 -0.135062231 -0.275865340
#> b:9    0.01243606 -0.034942289  0.118053415  0.800512525  0.213873263
#> b:10  -0.69144183  0.357262284  0.175621022  0.143275047  0.101283568
#> b:11   0.66120830  0.575624182  0.695785030 -0.176673461  0.007397659
#> c:12   0.15188646  0.734154498  0.837793093  0.141391084  0.352313167
#> b:13   0.32985267 -0.964891556 -0.898894258  0.299723855 -0.446034805
#> c:14   0.08345214 -0.142339953  0.062238463 -0.153200419  0.566332528
#> d:15  -0.37962102  0.443266237  0.501961757 -0.706089327  0.850605259
#> b:16   0.20688160  0.012359928 -0.084164501  0.599416919 -0.656165930
#> d:17  -0.40546714  0.293075553  0.159083421 -0.889022678  0.288745732
#> b:18   0.36358883 -0.705674283 -0.721243666  0.770752329 -0.796160344
#> a:19  -0.86948037 -0.079249402 -0.111372710 -0.237951120  0.711673424
#> b:20  -0.66966076 -0.452010620 -0.438227574  0.614125856  0.318965775
#> b:21   0.94441289 -0.375877972 -0.240299505  0.071825107 -0.535342746
#> d:22  -0.27352886 -0.413081266 -0.593729996 -0.342127101 -0.333813411
#> d:23  -0.51873257  0.676010885  0.747245058 -0.013543324  0.869875670
#> c:24  -0.42263920  0.698855978  0.611861565 -0.873568393  0.559022079
#> b:25  -0.63500527  0.650104047  0.466353454 -0.496094379  0.318887091
#> d:26  -0.41028879 -0.395318053 -0.281219973  0.706696065  0.390602496
#> d:27   0.48433441 -0.158144985 -0.297149347  0.093748961 -0.927842786
#> c:28  -0.91054765  0.081304551 -0.005810318  0.342606277  0.448935356
#> c:29   0.90796228  0.122135190  0.162862693  0.115470483 -0.670062520
#> c:30  -0.51061583 -0.330701143 -0.339373820 -0.450553222  0.462446260
#> a:31   0.12481705 -0.595479516 -0.666552009  0.773098966 -0.728429059
#> c:32   0.47959158 -0.519587660 -0.321233677  0.681598187 -0.156101340
#> c:33   0.39937790  0.219207095  0.370626558  0.609506065 -0.001611564
#> a:34  -0.56978094 -0.725004696 -0.762870310  0.355369602  0.071896837
#> b:35  -0.20793031  0.647971452  0.561937847 -0.955357456  0.383872491
#> d:36  -0.57251348  0.534020350  0.320815684 -0.411054624  0.114738217
#> c:37   0.05765004  0.448865236  0.274697206  0.004810020 -0.465170878
#> c:38  -0.27979974  0.816730496  0.892139410 -0.436569711  0.839419264
#> d:39   0.49127699  0.449495110  0.631377608  0.144486407  0.216062984
#> c:40   0.07493696  0.226337278  0.310321629  0.757047165  0.031838399
#> c:41   0.87006383 -0.283800364 -0.302488915 -0.058231034 -0.883251953
#> c:42  -0.59474652 -0.503433092 -0.477270442  0.677016088  0.258350701
#> c:43   0.97319672  0.001512277  0.088482753  0.120903476 -0.619587063
#> d:44   0.23212466  0.658861109  0.671622830 -0.883794990  0.285765693
#> b:45   0.31642102  0.676433370  0.792048270 -0.578681546  0.444205171
#> c:46           NA -0.152467587 -0.057878597  0.041228243 -0.639015316
#> b:47  -0.15246759           NA  0.970544427 -0.440898512  0.455805035
#> b:48  -0.05787860  0.970544427           NA -0.382221766  0.529535406
#> a:49   0.04122824 -0.440898512 -0.382221766           NA -0.277507267
#> a:50  -0.63901532  0.455805035  0.529535406 -0.277507267           NA
#> a:51  -0.70754362 -0.391827202 -0.512066813  0.492097432 -0.009580950
#> b:52  -0.43380471 -0.486062965 -0.490730401 -0.351108950  0.334031517
#> b:53  -0.75562124  0.748274158  0.696504734 -0.253107030  0.788496363
#> c:54   0.71114394 -0.319891050 -0.336869391 -0.433834781 -0.636468646
#> b:55  -0.59045616 -0.639562013 -0.687647436  0.580682685  0.015051031
#> a:56   0.40795351 -0.810891846 -0.871431087  0.344170277 -0.876446661
#> a:57  -0.53417846 -0.684922338 -0.793979747  0.353692434 -0.168080130
#> c:58   0.48558609 -0.283968272 -0.391967036  0.372201127 -0.951569789
#> b:59  -0.84087527  0.466722253  0.303707423 -0.061551302  0.382070545
#> c:60   0.21213519  0.360907109  0.552770153 -0.343330786  0.612648684
#> a:61   0.29237432  0.590652296  0.453352528 -0.306413012 -0.423783911
#> c:62   0.62129591 -0.109620027 -0.178953258  0.371130651 -0.901369025
#> d:63  -0.10334828  0.684971302  0.557471347  0.070118585 -0.132487438
#> b:64  -0.41557437  0.911748747  0.824362855 -0.651794061  0.545242451
#> a:65  -0.32734524  0.153874142 -0.072957456 -0.552924831 -0.207046988
#> a:66  -0.31188281 -0.663781350 -0.564141693  0.137352936  0.354180690
#> b:67  -0.13983566  0.877898708  0.828361811 -0.002181804  0.216964376
#> a:68   0.17289264  0.811465643  0.865635966 -0.705844720  0.455738199
#> a:69   0.93037090  0.051403453  0.125856964 -0.324755648 -0.473514502
#> c:70  -0.31331551 -0.862520449 -0.829836282  0.368321381  0.022999152
#> c:71   0.11862516  0.717396267  0.820262194  0.184684336  0.361419749
#> a:72  -0.49931575  0.682895289  0.704728660  0.220812613  0.631675914
#> a:73  -0.59136338 -0.304783505 -0.443155550 -0.436822179  0.134636404
#> a:74   0.29266960  0.189518020  0.243625636  0.735128476 -0.255436452
#> a:75  -0.31737956  0.632796307  0.671193232 -0.768748701  0.805245169
#> d:76   0.09125381 -0.438769818 -0.517135014  0.794119551 -0.683757900
#> c:77   0.02369931 -0.866991104 -0.777274616  0.765529214 -0.215835400
#> a:78   0.66605593  0.272100521  0.301912589 -0.714940859 -0.201258982
#> c:79  -0.70825411  0.194079036  0.174125015 -0.600874555  0.793480361
#> a:80  -0.21610588 -0.278445228 -0.500169648 -0.078821513 -0.552234330
#> b:81  -0.55490349 -0.681621872 -0.655801510  0.421769532  0.248507727
#> b:82   0.69058375 -0.351957830 -0.281043982 -0.451164310 -0.350004127
#> d:83   0.28388661  0.429922913  0.574555757 -0.611689005  0.503092493
#> c:84   0.59136135  0.332755385  0.244849782 -0.554848157 -0.531240040
#> d:85  -0.26757938  0.462207170  0.622356717 -0.079060752  0.884515193
#> b:86  -0.19644039 -0.838037122 -0.807310966  0.765653899 -0.197452250
#> c:87  -0.22842578 -0.346395759 -0.561146495  0.012694603 -0.566322988
#> d:88   0.19153733 -0.498909862 -0.490387676 -0.544336313 -0.119244214
#> b:89  -0.54351622  0.241509979  0.341910480 -0.333688953  0.955354421
#> a:90  -0.58702734  0.654362113  0.639349462 -0.688824029  0.858384892
#> d:91   0.54500564 -0.052888362  0.027153715 -0.683841904 -0.040311224
#> a:92   0.57739792 -0.421312338 -0.526098121  0.093654754 -0.977498306
#> b:93   0.75469799  0.107648202  0.041401416 -0.082567737 -0.811945554
#> c:94   0.12140832  0.638705853  0.748029967  0.300824782  0.322105368
#> d:95   0.40911696 -0.481303395 -0.256544332  0.433792607  0.072364725
#> b:96   0.18915364 -0.854507892 -0.862086852 -0.085658635 -0.404297005
#> a:97  -0.32457904  0.700560795  0.801696432  0.040216976  0.783113547
#> a:98  -0.54137827  0.687788781  0.674357719 -0.712863385  0.839858726
#> c:99  -0.24578732  0.212669811  0.132434151  0.661802953 -0.171065461
#> a:100 -0.10979989 -0.570861977 -0.654728255 -0.437129761 -0.193560233
#>               a:51        b:52        b:53          c:54          b:55
#> a:1    0.259677371  0.03970962  0.37654332  0.1013017625 -0.0568188329
#> c:2    0.359871964 -0.67413998  0.22387166 -0.2306744529  0.0407238545
#> a:3   -0.290500248 -0.64712256  0.67086667 -0.6134743871 -0.4296603736
#> a:4    0.406180545  0.12210376 -0.53112544  0.5275259047  0.3189218925
#> a:5   -0.825297885 -0.10796719 -0.64832826  0.6433914651 -0.5912679424
#> a:6    0.341986352 -0.43864422  0.53195978 -0.9203905420  0.2950919258
#> b:7   -0.156844493  0.89182579  0.01594632  0.2086567946  0.0522973141
#> d:8   -0.337364063 -0.84791578  0.22740122  0.0382193357 -0.6281789809
#> b:9    0.124048706 -0.41239620  0.08511599 -0.6484310295  0.2458610346
#> b:10   0.683433976 -0.21892805  0.63533798 -0.5931412637  0.3748182949
#> b:11  -0.882588278 -0.65612008 -0.01963107  0.1845884946 -0.8887193650
#> c:12  -0.441973141 -0.73666365  0.45126826 -0.4669074275 -0.5222757098
#> b:13   0.142628896  0.49811709 -0.83556335  0.4839139418  0.4342534015
#> c:14  -0.421528313  0.46776011 -0.04837816 -0.0042535150 -0.1166277726
#> d:15  -0.342664743  0.49537204  0.57076492 -0.1462906083 -0.3012403239
#> b:16   0.313471634 -0.75603584 -0.16645218 -0.1092756560  0.1232163733
#> d:17  -0.039550521  0.53708653  0.37369864  0.2475971558 -0.1814541028
#> b:18   0.396448132 -0.24265940 -0.71007158  0.1780340619  0.4713877977
#> a:19   0.504843931  0.79613396  0.53337715 -0.4419910566  0.5405192229
#> b:20   0.828341009  0.37949587  0.20104319 -0.6818880836  0.9275522840
#> b:21  -0.654578201 -0.16556245 -0.84323822  0.7162494517 -0.4291359226
#> d:22   0.446834471  0.58612313 -0.19939828  0.4233788488  0.3715149962
#> d:23  -0.027237788 -0.15830845  0.86163265 -0.8183295740 -0.0931415155
#> c:24  -0.233646108  0.23346191  0.68631645 -0.0371898582 -0.4229499199
#> b:25   0.254481686 -0.01209776  0.76560039 -0.2987099358 -0.0723510320
#> d:26   0.524405669  0.21592645  0.11524102 -0.6853626251  0.7158401300
#> d:27   0.030780500 -0.43947055 -0.52190176  0.5553791086 -0.1291498839
#> c:28   0.844150193  0.14178727  0.66432460 -0.8538636661  0.7140594168
#> c:29  -0.614942773 -0.75099049 -0.53191985  0.5159903691 -0.6404230009
#> c:30   0.225715822  0.98525126  0.11425179  0.0677148832  0.3635868877
#> a:31   0.602374586 -0.25912216 -0.49752165  0.0009652623  0.5878101350
#> c:32  -0.138257373 -0.13090926 -0.55197190 -0.0199574715  0.1605553641
#> c:33  -0.285707987 -0.74772390 -0.02551473 -0.3603246717 -0.2274246504
#> a:34   0.820863819  0.69680633 -0.09298918 -0.2444889697  0.9479281398
#> b:35  -0.389830398  0.20328239  0.49740682  0.2036530190 -0.5646346506
#> d:36   0.343598895 -0.05628606  0.63032568 -0.2102352934 -0.0005802918
#> c:37   0.112762778 -0.67836882  0.16624359  0.0131356802 -0.2243400403
#> c:38  -0.427584020 -0.10019128  0.77264340 -0.4479618654 -0.4922291946
#> d:39  -0.688619553 -0.60400178  0.06264085 -0.1529804825 -0.6099044961
#> c:40   0.095496356 -0.74639031  0.17740193 -0.6271629214  0.0650556012
#> c:41  -0.440556224 -0.30078091 -0.81910749  0.8715326233 -0.4166338351
#> c:42   0.807749262  0.34229145  0.12282542 -0.6515407859  0.9268933802
#> c:43  -0.690995985 -0.62843244 -0.63367218  0.5709368896 -0.6302212340
#> d:44  -0.797736833 -0.02430355  0.25130454  0.3772720251 -0.8749322680
#> b:45  -0.884676727 -0.20277881  0.27297592  0.1239166421 -0.8706508186
#> c:46  -0.707543623 -0.43380471 -0.75562124  0.7111439368 -0.5904561559
#> b:47  -0.391827202 -0.48606297  0.74827416 -0.3198910497 -0.6395620133
#> b:48  -0.512066813 -0.49073040  0.69650473 -0.3368693910 -0.6876474364
#> a:49   0.492097432 -0.35110895 -0.25310703 -0.4338347813  0.5806826850
#> a:50  -0.009580950  0.33403152  0.78849636 -0.6364686461  0.0150510305
#> a:51            NA  0.26933859  0.18938872 -0.5106944076  0.9291795550
#> b:52   0.269338595          NA -0.03858096  0.1396018534  0.4399999449
#> b:53   0.189388718 -0.03858096          NA -0.7457035976 -0.0170652719
#> c:54  -0.510694408  0.13960185 -0.74570360            NA -0.4326758945
#> b:55   0.929179555  0.43999994 -0.01706527 -0.4326758945            NA
#> a:56   0.277875573  0.10344763 -0.85485827  0.5838110293  0.3639292916
#> a:57   0.904764418  0.54353128 -0.13047948 -0.1542418845  0.9311748079
#> c:58   0.150441053 -0.50814670 -0.57911340  0.4113143227  0.0347036723
#> b:59   0.611887632 -0.02976722  0.81666209 -0.6578451223  0.3237040920
#> c:60  -0.734170918  0.06416108  0.18550756 -0.0296538079 -0.5619772666
#> a:61  -0.287593697 -0.66416042  0.10361259  0.2722285821 -0.5935756333
#> c:62  -0.056073553 -0.70286236 -0.53602237  0.3823166644 -0.1735757992
#> d:63   0.087168774 -0.77397371  0.46784309 -0.3260296860 -0.2532747939
#> b:64  -0.202419842 -0.14058598  0.83394530 -0.2784325028 -0.4694293238
#> a:65   0.272635775  0.21829005  0.18711667  0.2767746270  0.0149293713
#> a:66   0.307195028  0.82781970 -0.16695365 -0.1008807568  0.6022792034
#> b:67  -0.118807355 -0.76176536  0.66392448 -0.4978943493 -0.4033455011
#> a:68  -0.796839494 -0.20932088  0.42636779  0.0948952502 -0.8770459830
#> a:69  -0.870127917 -0.30556480 -0.59501517  0.8047226736 -0.7928110568
#> c:70   0.594851894  0.73394616 -0.32754282 -0.0667897067  0.8351967396
#> c:71  -0.394206387 -0.73509946  0.46481858 -0.5099734157 -0.4741336971
#> a:72   0.152248258 -0.43046152  0.83493504 -0.8958355237 -0.0009041433
#> a:73   0.491867861  0.83172232  0.11774216  0.1339021645  0.4623167754
#> a:74   0.012989592 -0.88016860 -0.01871386 -0.3928300785 -0.0511641980
#> a:75  -0.438597106  0.30640187  0.64091684 -0.1329053287 -0.4679459504
#> d:76   0.593975835 -0.40442619 -0.37119065 -0.1096555363  0.5287827808
#> c:77   0.479591028  0.27282117 -0.52084262 -0.1191012451  0.7412145918
#> a:78  -0.888134910 -0.07649012 -0.30000905  0.7835554147 -0.8760874038
#> c:79   0.123977470  0.74911765  0.59569879 -0.2458680781  0.1334767984
#> a:80   0.560652010  0.16168104 -0.16093309  0.2820423592  0.3711070635
#> b:81   0.721618490  0.67970128 -0.03631136 -0.3703067766  0.9100856182
#> b:82  -0.643588247  0.31311094 -0.70499282  0.9097340256 -0.4447907096
#> d:83  -0.848254392  0.10580475  0.14424384  0.2120370859 -0.7294892853
#> c:84  -0.588193894 -0.36626760 -0.26469976  0.7315494171 -0.7521266490
#> d:85  -0.292921562  0.03820462  0.58624924 -0.5780271260 -0.1948851720
#> b:86   0.705435872  0.31425090 -0.37831180 -0.2348745669  0.8938120286
#> c:87   0.621969003  0.16722453 -0.19046873  0.2422412972  0.4502966252
#> d:88  -0.226140756  0.76815557 -0.48982866  0.7317578091 -0.0397816872
#> b:89  -0.069786971  0.54395603  0.58878241 -0.4493087722  0.0458313523
#> a:90  -0.151482554  0.33105476  0.81981675 -0.3391205024 -0.2511558075
#> d:91  -0.776775386  0.33859749 -0.40480534  0.7793329769 -0.6160749621
#> a:92   0.001850398 -0.21867498 -0.74640159  0.7219852318 -0.0503540612
#> b:93  -0.428942749 -0.62051558 -0.50063550  0.6528211295 -0.5595329962
#> c:94  -0.326213607 -0.75027693  0.41809148 -0.5474263071 -0.3890899484
#> d:95  -0.268642425  0.11458790 -0.47196103  0.0301984216  0.0801090823
#> b:96   0.135351158  0.70200052 -0.71815067  0.6446307757  0.3491061096
#> a:97  -0.180168820 -0.31246282  0.75973450 -0.7498228609 -0.2274333692
#> a:98  -0.204636260  0.29195298  0.81000368 -0.3079996756 -0.3103388502
#> c:99   0.529528080 -0.66384003  0.30019620 -0.6172413475  0.3182359601
#> a:100  0.189653531  0.82430587 -0.37206004  0.5771300266  0.2796811077
#>               a:56        a:57         c:58         b:59         c:60
#> a:1   -0.004487522  0.20579596  0.233932573  0.680536050 -0.541576923
#> c:2    0.119794084  0.09125882  0.663001201  0.587623786 -0.692251643
#> a:3   -0.812512868 -0.66334909 -0.307904499  0.323709402  0.455588253
#> a:4    0.859086934  0.59910708  0.769984286  0.022618176 -0.857952315
#> a:5    0.165687069 -0.59262175  0.029916176 -0.950647444  0.589463520
#> a:6   -0.476359606 -0.03197770 -0.201557189  0.419912228  0.072465617
#> b:7   -0.175077542  0.11125334 -0.724970315 -0.233724686  0.491708432
#> d:8   -0.204297114 -0.57450402  0.453200696  0.254416637 -0.124032853
#> b:9   -0.220979903 -0.10813879 -0.118964045 -0.092019508  0.236342506
#> b:10  -0.172743340  0.38380218  0.177751808  0.948727936 -0.627749453
#> b:11  -0.395940002 -0.97590323 -0.022356741 -0.420397870  0.641494022
#> c:12  -0.693105138 -0.76732512 -0.205137035  0.074384135  0.525683904
#> b:13   0.770717811  0.49302350  0.214980397 -0.663987365 -0.159323341
#> c:14  -0.353490205 -0.27270679 -0.764875510 -0.527338525  0.847034140
#> d:15  -0.756176182 -0.32520502 -0.918566792  0.132545026  0.717748550
#> b:16   0.403889063  0.11603646  0.846776838  0.212741343 -0.683496798
#> d:17  -0.228593098  0.07321035 -0.324074938  0.387107358 -0.009054136
#> b:18   0.850148894  0.47178485  0.789825050 -0.298819876 -0.640485194
#> a:19  -0.342199182  0.51811500 -0.709796892  0.494131790  0.055100468
#> b:20   0.042803760  0.74001474 -0.244763513  0.349574834 -0.271193457
#> b:21   0.453177362 -0.39800484  0.313148866 -0.970996639  0.310950967
#> d:22   0.546667898  0.68067451  0.272101570  0.227910619 -0.646240225
#> d:23  -0.937482638 -0.35428114 -0.709099758  0.478262196  0.525121811
#> c:24  -0.647591733 -0.29216587 -0.515131707  0.492466228  0.280086019
#> b:25  -0.441903877  0.05273503 -0.124168863  0.877418027 -0.272094288
#> d:26  -0.090383470  0.42347019 -0.356585439  0.056381554  0.075866622
#> d:27   0.705145251  0.09988534  0.958550352 -0.086726812 -0.696284234
#> c:28  -0.275647645  0.58243999 -0.230875791  0.842369279 -0.387031508
#> c:29   0.293415201 -0.59961727  0.641511200 -0.546958457  0.042788697
#> c:30  -0.055194645  0.45901716 -0.613999193  0.066096710  0.142596121
#> a:31   0.777001965  0.59663769  0.799482842 -0.002532694 -0.809951955
#> c:32   0.255725414 -0.06891574  0.041411396 -0.703327106  0.296375441
#> c:33  -0.233658868 -0.51815197  0.087882159 -0.265666390  0.341492847
#> a:34   0.383901855  0.93829537 -0.105660537  0.195911840 -0.441638273
#> b:35  -0.513060413 -0.37566369 -0.388129131  0.315555785  0.284835428
#> d:36  -0.242948759  0.16487858  0.084378799  0.864802526 -0.466673564
#> c:37   0.106455819 -0.09532970  0.676964625  0.479788535 -0.592316340
#> c:38  -0.986087513 -0.64460142 -0.765062821  0.274347281  0.746955643
#> d:39  -0.491577974 -0.84713728 -0.209069040 -0.399630749  0.727747255
#> c:40  -0.226571520 -0.23460161  0.154148864  0.098197502  0.039846197
#> c:41   0.692460626 -0.20841183  0.748174453 -0.637567665 -0.217455649
#> c:42   0.098619729  0.72984300 -0.194273710  0.275211451 -0.271927761
#> c:43   0.308338866 -0.61320557  0.530448911 -0.722535949  0.187758307
#> d:44  -0.518957352 -0.75016904 -0.358509476 -0.110980904  0.603746271
#> b:45  -0.690274329 -0.92369963 -0.504667210 -0.262742509  0.872225940
#> c:46   0.407953509 -0.53417846  0.485586087 -0.840875271  0.212135189
#> b:47  -0.810891846 -0.68492234 -0.283968272  0.466722253  0.360907109
#> b:48  -0.871431087 -0.79397975 -0.391967036  0.303707423  0.552770153
#> a:49   0.344170277  0.35369243  0.372201127 -0.061551302 -0.343330786
#> a:50  -0.876446661 -0.16808013 -0.951569789  0.382070545  0.612648684
#> a:51   0.277875573  0.90476442  0.150441053  0.611887632 -0.734170918
#> b:52   0.103447628  0.54353128 -0.508146705 -0.029767220  0.064161085
#> b:53  -0.854858269 -0.13047948 -0.579113397  0.816662091  0.185507558
#> c:54   0.583811029 -0.15424188  0.411314323 -0.657845122 -0.029653808
#> b:55   0.363929292  0.93117481  0.034703672  0.323704092 -0.561977267
#> a:56            NA  0.53968371  0.763490880 -0.401765881 -0.657170902
#> a:57   0.539683711          NA  0.183188650  0.321258838 -0.720633312
#> c:58   0.763490880  0.18318865           NA -0.125742821 -0.732579141
#> b:59  -0.401765881  0.32125884 -0.125742821           NA -0.413764887
#> c:60  -0.657170902 -0.72063331 -0.732579141 -0.413764887           NA
#> a:61  -0.007135477 -0.41968242  0.557685819  0.248549809 -0.289736002
#> c:62   0.612179460 -0.07602766  0.961162427 -0.203898769 -0.546206935
#> d:63  -0.252590028 -0.25348869  0.403251038  0.613058539 -0.355743042
#> b:64  -0.771717240 -0.42438253 -0.394409238  0.639869417  0.230955334
#> a:65   0.178253540  0.32664741  0.267256526  0.536735130 -0.581783513
#> a:66   0.117602804  0.51958577 -0.524013781 -0.244055525  0.199256070
#> b:67  -0.607847062 -0.50954531  0.041537377  0.557884252  0.045140602
#> a:68  -0.736438350 -0.87414215 -0.467157621 -0.037161415  0.734482086
#> a:69   0.219328238 -0.66980644  0.299114300 -0.768885267  0.360194461
#> c:70   0.453035837  0.80372365 -0.147344884 -0.146590425 -0.227743319
#> c:71  -0.690073745 -0.73084448 -0.205173707  0.100252845  0.501945841
#> a:72  -0.785103411 -0.26122401 -0.384740968  0.621294899  0.218269712
#> a:73   0.191351819  0.68287041 -0.194740711  0.367533856 -0.369679482
#> a:74  -0.020369303 -0.27440384  0.429182506 -0.002326959 -0.103640966
#> a:75  -0.825792751 -0.47572054 -0.833305036  0.197585112  0.707362103
#> d:76   0.663304468  0.51055308  0.805841015  0.105116946 -0.804572568
#> c:77   0.547587414  0.60164978  0.129792479 -0.354743839 -0.219337948
#> a:78  -0.026983174 -0.68459868  0.032177403 -0.531906201  0.446567200
#> c:79  -0.539946982  0.16382530 -0.829436918  0.396737643  0.324379290
#> a:80   0.607797770  0.64992052  0.608226485  0.395688805 -0.903928898
#> b:81   0.218214101  0.80888278 -0.293628404  0.106732452 -0.206472405
#> b:82   0.387920800 -0.25795660  0.062545246 -0.824439932  0.325676282
#> d:83  -0.596388356 -0.77206556 -0.648137608 -0.411880553  0.943649404
#> c:84   0.188165461 -0.48849603  0.490382415 -0.202468323 -0.076533606
#> d:85  -0.868060245 -0.46808564 -0.862883319  0.051589898  0.829752985
#> b:86   0.552279579  0.78290861  0.168620119 -0.099451866 -0.424946721
#> c:87   0.647801500  0.70863044  0.624239451  0.384961208 -0.934303745
#> d:88   0.376196003  0.18911820 -0.156316760 -0.493249783  0.134227520
#> b:89  -0.738550683 -0.10505896 -0.996602637  0.166748512  0.679625179
#> a:90  -0.843433147 -0.26161479 -0.811546704  0.490760714  0.490975965
#> d:91   0.038563855 -0.45340586 -0.223744607 -0.682927097  0.563106478
#> a:92   0.867840667  0.19663916  0.915618366 -0.320888765 -0.637194250
#> b:93   0.451132385 -0.37251213  0.805084624 -0.315928419 -0.283180696
#> c:94  -0.629857654 -0.66763596 -0.161408272  0.083016418  0.453719404
#> d:95   0.095975332 -0.13613596 -0.248110087 -0.756923481  0.534277663
#> b:96   0.738424123  0.54335708  0.160376847 -0.496591532 -0.233716147
#> a:97  -0.919582574 -0.51013389 -0.634200322  0.329524940  0.605703977
#> a:98  -0.851850425 -0.31549677 -0.794576377  0.468147440  0.512075823
#> c:99  -0.006694235  0.17927515  0.449101719  0.563813614 -0.545053501
#> a:100  0.507250437  0.55319357  0.001098162 -0.142961074 -0.272268002
#>               a:61         c:62         d:63         b:64         a:65
#> a:1    0.642030522  0.121176097  0.538370546  0.617095829  0.966870008
#> c:2    0.738065936  0.664877331  0.914931056  0.266559402  0.432834242
#> a:3    0.288445261 -0.084631270  0.602965342  0.590887255 -0.353006034
#> a:4    0.301285629  0.576158804  0.055012866 -0.355835332  0.646569972
#> a:5   -0.069183404  0.172625170 -0.458821199 -0.381629899 -0.517186118
#> a:6   -0.180221632 -0.102061094  0.396590119  0.096054572 -0.516482901
#> b:7   -0.621995996 -0.810992240 -0.813146038  0.016886518  0.008203313
#> d:8    0.941042751  0.607240370  0.893988923  0.528403016  0.262239585
#> b:9   -0.393741865  0.007857074  0.050298852 -0.328556883 -0.855892324
#> b:10   0.371334176  0.096100942  0.733053723  0.469646463  0.534052615
#> b:11   0.425682023  0.244039412  0.267802518  0.255647277 -0.422772952
#> c:12   0.278410233  0.051003284  0.520221711  0.413328122 -0.514133450
#> b:13  -0.584234460  0.079424446 -0.793889365 -0.904593644 -0.229550497
#> c:14  -0.728006574 -0.694296679 -0.770634655 -0.165823705 -0.639554691
#> d:15  -0.266852724 -0.877291426 -0.300618759  0.603128549  0.020630677
#> b:16   0.557914470  0.866444048  0.711179777 -0.179159134  0.097126341
#> d:17   0.216687318 -0.433169149 -0.027793235  0.634527988  0.790936642
#> b:18  -0.050475352  0.710684907 -0.024395104 -0.828061798 -0.165098259
#> a:19  -0.589640892 -0.866458828 -0.370927955  0.244955311  0.216576657
#> b:20  -0.720667256 -0.383870352 -0.252205028 -0.348123431 -0.240115389
#> b:21  -0.024652782  0.412068789 -0.418682770 -0.591090222 -0.455631843
#> d:22   0.072289320  0.024431034 -0.170371557 -0.056493007  0.824755238
#> d:23  -0.145164846 -0.575025224  0.275930722  0.599218539 -0.332152228
#> c:24   0.324255951 -0.504449724  0.221239607  0.911267712  0.567917422
#> b:25   0.516604418 -0.174370253  0.622950704  0.858645381  0.761876683
#> d:26  -0.815793580 -0.393042025 -0.348586008 -0.441444636 -0.636708647
#> d:27   0.700071982  0.914446776  0.429916757 -0.207111304  0.472442054
#> c:28  -0.244116687 -0.342471313  0.282405401  0.224829260  0.155789893
#> c:29   0.598516433  0.809011110  0.320286717 -0.190856087 -0.202868363
#> c:30  -0.615937247 -0.789876095 -0.703063241  0.023339330  0.252508802
#> a:31   0.038280682  0.689466959  0.167035900 -0.664667669  0.014568091
#> c:32  -0.557581842  0.124224756 -0.469046744 -0.784758235 -0.904871534
#> c:33   0.021797882  0.307970562  0.274709858 -0.183466364 -0.804685512
#> a:34  -0.703479385 -0.342076331 -0.496087961 -0.475060411  0.080583460
#> b:35   0.424461951 -0.368803892  0.178964433  0.843575235  0.604473337
#> d:36   0.591710309  0.004807470  0.667876350  0.745325127  0.846114296
#> c:37   0.909141547  0.701816416  0.914445864  0.385265047  0.553830894
#> c:38   0.037847876 -0.595632609  0.193826353  0.764622629 -0.193760829
#> d:39   0.069930731  0.060568405  0.135931101  0.085854862 -0.753583152
#> c:40   0.042942812  0.312350797  0.471887369 -0.111555953 -0.628657558
#> c:41   0.469194390  0.771944191 -0.008888942 -0.402013230  0.127410994
#> c:42  -0.733729618 -0.325907773 -0.273933292 -0.428328743 -0.302257577
#> c:43   0.413298686  0.701186126  0.102364322 -0.316499212 -0.352224733
#> d:44   0.426478077 -0.227871671  0.080714787  0.678005485  0.227957995
#> b:45   0.206985970 -0.285880139  0.026847823  0.536607939 -0.258619116
#> c:46   0.292374317  0.621295905 -0.103348276 -0.415574372 -0.327345237
#> b:47   0.590652296 -0.109620027  0.684971302  0.911748747  0.153874142
#> b:48   0.453352528 -0.178953258  0.557471347  0.824362855 -0.072957456
#> a:49  -0.306413012  0.371130651  0.070118585 -0.651794061 -0.552924831
#> a:50  -0.423783911 -0.901369025 -0.132487438  0.545242451 -0.207046988
#> a:51  -0.287593697 -0.056073553  0.087168774 -0.202419842  0.272635775
#> b:52  -0.664160422 -0.702862360 -0.773973712 -0.140585981  0.218290053
#> b:53   0.103612594 -0.536022368  0.467843088  0.833945305  0.187116671
#> c:54   0.272228582  0.382316664 -0.326029686 -0.278432503  0.276774627
#> b:55  -0.593575633 -0.173575799 -0.253274794 -0.469429324  0.014929371
#> a:56  -0.007135477  0.612179460 -0.252590028 -0.771717240  0.178253540
#> a:57  -0.419682419 -0.076027664 -0.253488687 -0.424382527  0.326647415
#> c:58   0.557685819  0.961162427  0.403251038 -0.394409238  0.267256526
#> b:59   0.248549809 -0.203898769  0.613058539  0.639869417  0.536735130
#> c:60  -0.289736002 -0.546206935 -0.355743042  0.230955334 -0.581783513
#> a:61            NA  0.642116487  0.811889337  0.505879240  0.532083374
#> c:62   0.642116487           NA  0.493368990 -0.317082364  0.109940419
#> d:63   0.811889337  0.493368990           NA  0.559699053  0.333047898
#> b:64   0.505879240 -0.317082364  0.559699053           NA  0.453029731
#> a:65   0.532083374  0.109940419  0.333047898  0.453029731           NA
#> a:66  -0.964846949 -0.659188777 -0.886536467 -0.488849305 -0.322348514
#> b:67   0.649659867  0.208237359  0.906787026  0.698541976  0.063397908
#> a:68   0.378574077 -0.273807000  0.202333318  0.734756502 -0.008822197
#> a:69   0.390497354  0.439449342 -0.108421733 -0.132751054 -0.135225977
#> c:70  -0.844968758 -0.348484280 -0.739903984 -0.673708879 -0.154649944
#> c:71   0.253098621  0.045546759  0.525002532  0.397044515 -0.526805700
#> a:72   0.069590755 -0.255888934  0.571359709  0.551071937 -0.253581255
#> a:73  -0.229262279 -0.439790705 -0.333733551  0.113019419  0.699635560
#> a:74   0.264367292  0.588044109  0.566306065 -0.174421054 -0.509525410
#> a:75  -0.040193170 -0.754099894 -0.092073169  0.752956765  0.093369725
#> d:76   0.146417665  0.726814154  0.335703178 -0.544757942  0.011792432
#> c:77  -0.739558086  0.024875744 -0.560502095 -0.902876495 -0.513703097
#> a:78   0.440577935  0.143414489 -0.098526204  0.228895841  0.150186406
#> c:79  -0.389367379 -0.920285726 -0.336403571  0.505866117  0.285636065
#> a:80   0.375921423  0.396619075  0.248335360 -0.032843149  0.846288386
#> b:81  -0.862161945 -0.480662240 -0.586572178 -0.493359712 -0.175594027
#> b:82  -0.053143876  0.067332583 -0.615270889 -0.328453881 -0.021350239
#> d:83  -0.079870301 -0.479385985 -0.310283526  0.362136182 -0.316206797
#> c:84   0.837556838  0.557681766  0.363189345  0.294325985  0.491861086
#> d:85  -0.413045305 -0.708328787 -0.139727454  0.361535811 -0.590725191
#> b:86  -0.680960699  0.013779476 -0.430619643 -0.801462206 -0.310526224
#> c:87   0.313015726  0.404839889  0.220477008 -0.109285035  0.793505207
#> d:88  -0.309175875 -0.285182971 -0.772843979 -0.256385041  0.252937434
#> b:89  -0.595759458 -0.976115508 -0.413011960  0.369830399 -0.250802829
#> a:90  -0.027228374 -0.781638723  0.052125616  0.835623098  0.245602137
#> d:91  -0.019928796 -0.176618889 -0.550625762 -0.008393411  0.001912454
#> a:92   0.477591983  0.837601127  0.117992567 -0.437320299  0.385750515
#> b:93   0.801596338  0.882109729  0.436774877 -0.059601035  0.254526441
#> c:94   0.198944338  0.082215449  0.508249401  0.301906211 -0.586288121
#> d:95  -0.704706778 -0.168200098 -0.681593317 -0.677101334 -0.903012806
#> b:96  -0.426388392 -0.030157715 -0.768856784 -0.644062488  0.170001468
#> a:97  -0.083060623 -0.451805335  0.302581711  0.539813382 -0.461570049
#> a:98   0.018092429 -0.752041662  0.075939127  0.854959589  0.245596160
#> c:99   0.332324023  0.474525928  0.766319729  0.056292276 -0.011850342
#> a:100 -0.249268478 -0.221288757 -0.598530627 -0.225778866  0.543053179
#>               a:66         b:67         a:68         a:69        c:70
#> a:1   -0.478249038  0.311676995  0.102361885 -0.196662031 -0.32947156
#> c:2   -0.772652512  0.673365037 -0.183091250 -0.199805452 -0.46977936
#> a:3   -0.489504924  0.877259789  0.595326110 -0.070300889 -0.68079413
#> a:4   -0.124082338 -0.368363364 -0.606764978  0.052937283  0.24635625
#> a:5    0.048468636 -0.332227142  0.336141344  0.880927544 -0.13410047
#> a:6   -0.052569290  0.568795994 -0.102890430 -0.569221192 -0.05941810
#> b:7    0.746273079 -0.643722083  0.197004882 -0.021372530  0.47553231
#> d:8   -0.995197611  0.832913155  0.454830861  0.342311841 -0.92938518
#> b:9    0.143384877  0.241900450 -0.199826872 -0.252011182  0.11447343
#> b:10  -0.379993177  0.580459243 -0.219519087 -0.707698699 -0.16370130
#> b:11  -0.548738284  0.485902210  0.747863473  0.723534600 -0.77440088
#> c:12  -0.497586274  0.796984466  0.586578569  0.137892261 -0.69014899
#> b:13   0.664549451 -0.933441928 -0.634064879  0.171095019  0.78224177
#> c:14   0.679987390 -0.431947409  0.308362729  0.152266659  0.32119562
#> d:15   0.304616762  0.013575533  0.683662400 -0.081477289 -0.08527676
#> b:16  -0.637907230  0.450788590 -0.414796483 -0.028384812 -0.28497741
#> d:17  -0.009078883 -0.062873821  0.383526124 -0.072468078 -0.11466914
#> b:18   0.023615461 -0.311709236 -0.825166783  0.037820894  0.38506587
#> a:19   0.663199343 -0.269350177 -0.108896438 -0.740576220  0.54710977
#> b:20   0.653757354 -0.247680133 -0.689892631 -0.862979587  0.76228274
#> b:21   0.017025634 -0.415142129  0.065146818  0.862958280 -0.02796337
#> d:22   0.171439906 -0.487595927 -0.408991127 -0.177469828  0.38742501
#> d:23  -0.020040819  0.615372681  0.478295905 -0.444212163 -0.28177656
#> c:24  -0.219764882  0.344099262  0.709134445 -0.070496293 -0.44501188
#> b:25  -0.437026731  0.567250810  0.305028899 -0.417288395 -0.41810870
#> d:26   0.667899738 -0.208646064 -0.509370103 -0.636647656  0.66173134
#> d:27  -0.611967932  0.060950573 -0.289317552  0.397411725 -0.27407802
#> c:28   0.189588532  0.269028804 -0.391558993 -0.983538719  0.30394820
#> c:29  -0.657206840  0.246150852  0.218568364  0.822780957 -0.58901960
#> c:30   0.774091772 -0.647800591 -0.074482044 -0.336519738  0.63295136
#> a:31  -0.059211879 -0.158168887 -0.874438820 -0.189627023  0.35319212
#> c:32   0.403740465 -0.353772071 -0.316235847  0.213518317  0.37783291
#> c:33  -0.271536448  0.458935808  0.119815712  0.189485338 -0.32771297
#> a:34   0.772111034 -0.626336552 -0.798593654 -0.696487520  0.93726768
#> b:35  -0.290658300  0.264487123  0.751595345  0.157906253 -0.50702253
#> d:36  -0.493065367  0.520293358  0.150349445 -0.397288502 -0.38091480
#> c:37  -0.899380960  0.673710243  0.035165346  0.049638531 -0.64688831
#> c:38  -0.135511548  0.562723433  0.829455706 -0.064273853 -0.50547686
#> d:39  -0.275081450  0.441917151  0.568760085  0.453306170 -0.52360770
#> c:40  -0.294336546  0.580237968 -0.102198064 -0.175514674 -0.23950431
#> c:41  -0.384076916 -0.239160796 -0.053026568  0.823173632 -0.22638812
#> c:42   0.656774878 -0.275292509 -0.725715868 -0.815380239  0.77714901
#> c:43  -0.474835556  0.077253439  0.216940613  0.882837700 -0.46126893
#> d:44  -0.357694579  0.261201539  0.937833154  0.559190173 -0.66382033
#> b:45  -0.262037715  0.351444273  0.961298957  0.544892260 -0.64669789
#> c:46  -0.311882807 -0.139835663  0.172892640  0.930370904 -0.31331551
#> b:47  -0.663781350  0.877898708  0.811465643  0.051403453 -0.86252045
#> b:48  -0.564141693  0.828361811  0.865635966  0.125856964 -0.82983628
#> a:49   0.137352936 -0.002181804 -0.705844720 -0.324755648  0.36832138
#> a:50   0.354180690  0.216964376  0.455738199 -0.473514502  0.02299915
#> a:51   0.307195028 -0.118807355 -0.796839494 -0.870127917  0.59485189
#> b:52   0.827819702 -0.761765364 -0.209320876 -0.305564802  0.73394616
#> b:53  -0.166953647  0.663924475  0.426367790 -0.595015167 -0.32754282
#> c:54  -0.100880757 -0.497894349  0.094895250  0.804722674 -0.06678971
#> b:55   0.602279203 -0.403345501 -0.877045983 -0.792811057  0.83519674
#> a:56   0.117602804 -0.607847062 -0.736438350  0.219328238  0.45303584
#> a:57   0.519585768 -0.509545313 -0.874142151 -0.669806436  0.80372365
#> c:58  -0.524013781  0.041537377 -0.467157621  0.299114300 -0.14734488
#> b:59  -0.244055525  0.557884252 -0.037161415 -0.768885267 -0.14659042
#> c:60   0.199256070  0.045140602  0.734482086  0.360194461 -0.22774332
#> a:61  -0.964846949  0.649659867  0.378574077  0.390497354 -0.84496876
#> c:62  -0.659188777  0.208237359 -0.273807000  0.439449342 -0.34848428
#> d:63  -0.886536467  0.906787026  0.202333318 -0.108421733 -0.73990398
#> b:64  -0.488849305  0.698541976  0.734756502 -0.132751054 -0.67370888
#> a:65  -0.322348514  0.063397908 -0.008822197 -0.135225977 -0.15464994
#> a:66            NA -0.785765168 -0.399568813 -0.357297535  0.90154486
#> b:67  -0.785765168           NA  0.478075555 -0.098962469 -0.81479191
#> a:68  -0.399568813  0.478075555           NA  0.452807497 -0.74953974
#> a:69  -0.357297535 -0.098962469  0.452807497           NA -0.45706255
#> c:70   0.901544862 -0.814791911 -0.749539738 -0.457062553          NA
#> c:71  -0.478674516  0.799247248  0.547255362  0.090588046 -0.66047075
#> a:72  -0.260974604  0.799272521  0.290550361 -0.514452957 -0.37337312
#> a:73   0.447639736 -0.492267648 -0.273350015 -0.432640256  0.51410206
#> a:74  -0.485735195  0.578885689 -0.127573435  0.031331154 -0.35494940
#> a:75   0.068411420  0.214680372  0.818111661  0.004645889 -0.31696435
#> d:76  -0.197266135  0.029452428 -0.799029467 -0.222709555  0.21218237
#> c:77   0.683491491 -0.629291010 -0.819229502 -0.273168061  0.84057091
#> a:78  -0.341724153 -0.047705069  0.689737561  0.892857853 -0.53246750
#> c:79   0.487757002 -0.159336693  0.298428549 -0.448032891  0.24258836
#> a:80  -0.192164621 -0.151979542 -0.509874997 -0.215609822  0.15859228
#> b:81   0.874579455 -0.604142218 -0.705574701 -0.695874305  0.94889758
#> b:82   0.187216174 -0.631010307  0.213005298  0.801339163  0.07021425
#> d:83   0.061531068  0.030633364  0.856429925  0.518991803 -0.35884311
#> c:84  -0.723263040  0.213430262  0.457505627  0.753947953 -0.68881575
#> d:85   0.257183657  0.282235058  0.544864765 -0.183117081 -0.11629851
#> b:86   0.648307699 -0.561086431 -0.922879405 -0.486288475  0.87259409
#> c:87  -0.140703099 -0.185728647 -0.592473624 -0.261436448  0.22935989
#> d:88   0.517953062 -0.830737807 -0.004632983  0.351007685  0.43065204
#> b:89   0.564794451 -0.065851596  0.399460354 -0.369892135  0.20852883
#> a:90   0.059162102  0.307197009  0.669711233 -0.282672103 -0.25185173
#> d:91   0.143527779 -0.450113076  0.519604578  0.760560501 -0.10376272
#> a:92  -0.358216192 -0.253220229 -0.395203352  0.477858764 -0.03762800
#> b:93  -0.759128483  0.214009451  0.125561583  0.734216672 -0.58509248
#> c:94  -0.438940329  0.768895776  0.446496177  0.049753460 -0.59065561
#> d:95   0.583318082 -0.477599145 -0.134631674  0.239546228  0.43142585
#> b:96   0.608410154 -0.960322663 -0.496903913  0.169924927  0.71254809
#> a:97  -0.112049503  0.661032959  0.541218759 -0.275865742 -0.38644116
#> a:98   0.012672265  0.334044412  0.713120663 -0.229682680 -0.30529793
#> c:99  -0.476802961  0.643937596 -0.359351772 -0.464836546 -0.21360174
#> a:100  0.493303133 -0.791287669 -0.291925810  0.015301558  0.55896858
#>               c:71          a:72         a:73         a:74         a:75
#> a:1   -0.301966885 -0.0158104201  0.563245497 -0.350310762  0.158085150
#> c:2    0.222537413  0.3401900486 -0.174226346  0.550023244 -0.432186741
#> a:3    0.966950238  0.8912169029 -0.652732258  0.581551903  0.395300598
#> a:4   -0.755824912 -0.6709892454  0.466724664 -0.195337364 -0.638907427
#> a:5    0.112523724 -0.4757592685 -0.484078555  0.029644389  0.022010570
#> a:6    0.699937605  0.8820103443 -0.489179228  0.704903431 -0.078081570
#> b:7   -0.451197752 -0.3455845946  0.581818706 -0.859821713  0.601581351
#> d:8    0.558346635  0.3375016641 -0.495469486  0.514019852 -0.010458064
#> b:9    0.633185834  0.5787826267 -0.686741080  0.759592177 -0.268838697
#> b:10   0.085855544  0.5499674027  0.246953886  0.203238751 -0.099996807
#> b:11   0.745432782  0.2152617999 -0.806331626  0.429654335  0.277238215
#> c:12   0.998444045  0.7688063768 -0.823849323  0.681088277  0.280302166
#> b:13  -0.682341376 -0.7810940842  0.231224990 -0.258450305 -0.513696147
#> c:14   0.099088203 -0.0464639557 -0.076679430 -0.312779664  0.501818707
#> d:15   0.122243411  0.2335702888  0.298052780 -0.606513950  0.971035752
#> b:16   0.206576887  0.1566908331 -0.413142513  0.761286462 -0.762150053
#> d:17  -0.430165357 -0.1897989826  0.761024982 -0.834898874  0.635495375
#> b:18  -0.288883705 -0.3788343617 -0.192879947  0.466265138 -0.992256066
#> a:19  -0.349192327  0.1802132267  0.742838076 -0.636540405  0.479160212
#> b:20  -0.177967566  0.2871603354  0.280054360  0.058705114 -0.259581588
#> b:21  -0.034153813 -0.6123969812 -0.466761614  0.129173994 -0.288133405
#> d:22  -0.912275400 -0.6173681065  0.883263002 -0.683303080 -0.153691925
#> d:23   0.735677619  0.9190951569 -0.263304074  0.225475436  0.611832501
#> c:24   0.061471247  0.2375182932  0.416123603 -0.560160949  0.860289524
#> b:25   0.042470905  0.4146770884  0.431241927 -0.241016067  0.437827464
#> d:26   0.112089719  0.3679492872 -0.082883194  0.256949908 -0.201658934
#> d:27  -0.275172410 -0.4634237253 -0.064374352  0.236741724 -0.656503220
#> c:28   0.036263655  0.6206288522  0.328903858  0.093647931 -0.016396732
#> c:29   0.344325565 -0.2221019652 -0.723975957  0.549379362 -0.372146885
#> c:30  -0.644945287 -0.3158693012  0.834272722 -0.904535249  0.453564703
#> a:31  -0.286744125 -0.2203695297 -0.075150843  0.474611845 -0.978779053
#> c:32   0.196173622 -0.1016004904 -0.576452879  0.460333395 -0.434015416
#> c:33   0.826816025  0.5072047389 -0.959376091  0.890537256 -0.229603796
#> a:34  -0.663982122 -0.2061211622  0.649533053 -0.344303029 -0.310098789
#> b:35  -0.010203461  0.0422995039  0.384264903 -0.597444939  0.810713662
#> d:36  -0.068908613  0.2996231178  0.456295262 -0.196064818  0.243359331
#> c:37   0.194522886  0.1976345601 -0.159128354  0.414882112 -0.293626418
#> c:38   0.682835413  0.6904680688 -0.223724017 -0.028262756  0.872453910
#> d:39   0.867785039  0.4323340882 -0.902949472  0.586430476  0.216576585
#> c:40   0.774788663  0.6863128390 -0.801949696  0.950445706 -0.344248250
#> c:41  -0.257516983 -0.7264957007 -0.228804368  0.091347447 -0.481157804
#> c:42  -0.169378054  0.2538059103  0.218763945  0.113312467 -0.328201629
#> c:43   0.303245414 -0.3109544390 -0.730689037  0.477118834 -0.336460770
#> d:44   0.238590276 -0.0187684489 -0.032382246 -0.381375831  0.784738579
#> b:45   0.588711813  0.2364169535 -0.412000239 -0.057161224  0.756878215
#> c:46   0.118625158 -0.4993157512 -0.591363383  0.292669598 -0.317379558
#> b:47   0.717396267  0.6828952893 -0.304783505  0.189518020  0.632796307
#> b:48   0.820262194  0.7047286598 -0.443155550  0.243625636  0.671193232
#> a:49   0.184684336  0.2208126134 -0.436822179  0.735128476 -0.768748701
#> a:50   0.361419749  0.6316759136  0.134636404 -0.255436452  0.805245169
#> a:51  -0.394206387  0.1522482583  0.491867861  0.012989592 -0.438597106
#> b:52  -0.735099456 -0.4304615194  0.831722320 -0.880168598  0.306401875
#> b:53   0.464818584  0.8349350396  0.117742156 -0.018713862  0.640916842
#> c:54  -0.509973416 -0.8958355237  0.133902165 -0.392830078 -0.132905329
#> b:55  -0.474133697 -0.0009041433  0.462316775 -0.051164198 -0.467945950
#> a:56  -0.690073745 -0.7851034114  0.191351819 -0.020369303 -0.825792751
#> a:57  -0.730844476 -0.2612240066  0.682870415 -0.274403843 -0.475720537
#> c:58  -0.205173707 -0.3847409679 -0.194740711  0.429182506 -0.833305036
#> b:59   0.100252845  0.6212948988  0.367533856 -0.002326959  0.197585112
#> c:60   0.501945841  0.2182697120 -0.369679482 -0.103640966  0.707362103
#> a:61   0.253098621  0.0695907548 -0.229262279  0.264367292 -0.040193170
#> c:62   0.045546759 -0.2558889342 -0.439790705  0.588044109 -0.754099894
#> d:63   0.525002532  0.5713597090 -0.333733551  0.566306065 -0.092073169
#> b:64   0.397044515  0.5510719366  0.113019419 -0.174421054  0.752956765
#> a:65  -0.526805700 -0.2535812545  0.699635560 -0.509525410  0.093369725
#> a:66  -0.478674516 -0.2609746045  0.447639736 -0.485735195  0.068411420
#> b:67   0.799247248  0.7992725212 -0.492267648  0.578885689  0.214680372
#> a:68   0.547255362  0.2905503614 -0.273350015 -0.127573435  0.818111661
#> a:69   0.090588046 -0.5144529566 -0.432640256  0.031331154  0.004645889
#> c:70  -0.660470754 -0.3733731200  0.514102059 -0.354949400 -0.316964351
#> c:71            NA  0.7940074317 -0.820835468  0.702062735  0.256160817
#> a:72   0.794007432            NA -0.378253210  0.505079624  0.315911401
#> a:73  -0.820835468 -0.3782532102           NA -0.850149203  0.191650169
#> a:74   0.702062735  0.5050796244 -0.850149203           NA -0.506466898
#> a:75   0.256160817  0.3159114007  0.191650169 -0.506466898           NA
#> d:76  -0.131067441 -0.0596571014 -0.174111674  0.596436774 -0.949092490
#> c:77  -0.327870333 -0.2539511899 -0.001486581  0.169614072 -0.640786474
#> a:78   0.008257668 -0.4593642703 -0.131915288 -0.310509748  0.382875089
#> c:79  -0.230756302  0.1501893593  0.682386078 -0.768012282  0.787950894
#> a:80  -0.691715368 -0.4156976482  0.626586355 -0.272011990 -0.431569382
#> b:81  -0.483906756 -0.0714289080  0.493481275 -0.264454735 -0.208428038
#> b:82  -0.417705353 -0.8347143455  0.079884900 -0.478072932  0.080677845
#> d:83   0.362137690  0.0428195110 -0.228094469 -0.289736474  0.789192463
#> c:84  -0.034487737 -0.3973796928 -0.105147601 -0.080275515  0.045846006
#> d:85   0.647451634  0.6600148418 -0.309971142  0.069014788  0.685570184
#> b:86  -0.412917254 -0.1818372295  0.169377788  0.127430579 -0.666387089
#> c:87  -0.702051848 -0.4107041281  0.613668074 -0.231129059 -0.499153857
#> d:88  -0.766057093 -0.8417919832  0.600272830 -0.850744048  0.192347564
#> b:89   0.164883652  0.3892173017  0.241070081 -0.438201529  0.800762453
#> a:90   0.209956522  0.4568986858  0.336572256 -0.491732914  0.947530098
#> d:91  -0.239969533 -0.6217247375  0.091658649 -0.574457451  0.432405502
#> a:92  -0.479772315 -0.7084016130  0.032699628  0.074628742 -0.699423970
#> b:93   0.041258416 -0.3839001926 -0.373824743  0.314457814 -0.401810776
#> c:94   0.992764436  0.7957292166 -0.850328887  0.767511466  0.158768124
#> d:95   0.135497863 -0.1487131700 -0.429894715  0.187594871 -0.143676483
#> b:96  -0.906096170 -0.9110150622  0.570876770 -0.611784115 -0.294595433
#> a:97   0.856199559  0.9085393197 -0.460394531  0.363675352  0.558322532
#> a:98   0.238230645  0.4524679740  0.300924596 -0.476184651  0.958357015
#> c:99   0.421475146  0.6067945146 -0.360587619  0.781763785 -0.505228026
#> a:100 -0.956378565 -0.7930794018  0.856465663 -0.869311367  0.016869464
#>               d:76          c:77         a:78        c:79         a:80
#> a:1    0.011343405 -0.6371972361  0.096751273  0.26501918  0.763586108
#> c:2    0.648402423 -0.2860491007 -0.271085960 -0.47592208  0.539142049
#> a:3   -0.211598438 -0.4582317298 -0.050229878 -0.03775531 -0.597967527
#> a:4    0.591215755  0.1665827002 -0.009540133 -0.31877886  0.921088944
#> a:5   -0.294772448  0.0758673860  0.708691643 -0.34755453 -0.523194039
#> a:6    0.276902060  0.2073872226 -0.706480874 -0.11472575 -0.423672807
#> b:7   -0.741064986  0.0601684627  0.235809738  0.78734758 -0.211888875
#> d:8    0.148495784 -0.7012563320  0.332175002 -0.45981789  0.106833393
#> b:9    0.313751821  0.5152650846 -0.550902436 -0.35335047 -0.626893850
#> b:10   0.396676182 -0.2468746195 -0.586632697  0.10242382  0.529963632
#> b:11  -0.333315364 -0.4680442045  0.638974442 -0.36644408 -0.640813776
#> c:12  -0.163777613 -0.3628394701  0.063787324 -0.22914301 -0.697019503
#> b:13   0.260468059  0.7898344693 -0.039523765 -0.18633309  0.136151047
#> c:14  -0.669353753  0.2431347419  0.190316278  0.42673221 -0.778555086
#> d:15  -0.953365334 -0.4504441863  0.285636297  0.87192536 -0.449928268
#> b:16   0.875415127  0.0877705576 -0.304967463 -0.80718613  0.410780304
#> d:17  -0.584977614 -0.6282691220  0.362256720  0.73844282  0.403709712
#> b:18   0.907125307  0.7073476363 -0.353525767 -0.77428542  0.370850642
#> a:19  -0.386974280  0.0974779897 -0.438409220  0.90405844  0.065405306
#> b:20   0.350842787  0.7100821821 -0.934162493  0.24061331  0.033135213
#> b:21   0.005024357  0.2456142437  0.597621740 -0.56248711 -0.305657252
#> d:22   0.133453969  0.0008534038  0.006141421  0.28452882  0.879020826
#> d:23  -0.415304260 -0.2864404272 -0.296024323  0.43254004 -0.616557348
#> c:24  -0.735015887 -0.8452470649  0.371503358  0.73042889  0.049972959
#> b:25  -0.184488217 -0.7216415202 -0.066321590  0.47246287  0.439429649
#> d:26   0.232934863  0.7667589535 -0.803445813  0.10229144 -0.374355927
#> d:27   0.628128280 -0.1036341963  0.236330965 -0.69685362  0.690780435
#> c:28   0.270490191  0.1715034996 -0.885696073  0.36541966  0.218545598
#> c:29   0.260116250 -0.1750476747  0.557730521 -0.83892403 -0.111633537
#> c:30  -0.518549388  0.1368634968 -0.048432496  0.85030075  0.110269819
#> a:31   0.982111709  0.6198848916 -0.521696452 -0.68752444  0.529701218
#> c:32   0.256737868  0.7549691354 -0.165236487 -0.48314308 -0.570681290
#> c:33   0.243329283  0.1834851697 -0.129349812 -0.60518605 -0.671697245
#> a:34   0.307447488  0.7151835416 -0.702321617  0.32456755  0.367150969
#> b:35  -0.743343000 -0.8858462772  0.576182318  0.61866654  0.091657629
#> d:36   0.001767084 -0.6523471189 -0.096374945  0.32864313  0.612372683
#> c:37   0.470932272 -0.5088242139  0.038424880 -0.45358842  0.552213330
#> c:38  -0.750116281 -0.5986945830  0.185122297  0.52287380 -0.655501604
#> d:39  -0.253534197 -0.1487949575  0.290081068 -0.32957744 -0.870559192
#> c:40   0.465049147  0.2299704650 -0.470175294 -0.55184001 -0.435284845
#> c:41   0.283392058 -0.0249041352  0.623229425 -0.68300781  0.289002835
#> c:42   0.400465564  0.7694463048 -0.929309314  0.15990913  0.009859497
#> c:43   0.165792220 -0.0524605665  0.598257750 -0.79361928 -0.248420322
#> d:44  -0.817995844 -0.8443846800  0.843954533  0.34640280 -0.270558726
#> b:45  -0.799483203 -0.6363029040  0.697544026  0.21154210 -0.696273789
#> c:46   0.091253806  0.0236993107  0.666055929 -0.70825411 -0.216105880
#> b:47  -0.438769818 -0.8669911041  0.272100521  0.19407904 -0.278445228
#> b:48  -0.517135014 -0.7772746158  0.301912589  0.17412501 -0.500169648
#> a:49   0.794119551  0.7655292143 -0.714940859 -0.60087455 -0.078821513
#> a:50  -0.683757900 -0.2158354002 -0.201258982  0.79348036 -0.552234330
#> a:51   0.593975835  0.4795910284 -0.888134910  0.12397747  0.560652010
#> b:52  -0.404426191  0.2728211660 -0.076490124  0.74911765  0.161681040
#> b:53  -0.371190654 -0.5208426218 -0.300009049  0.59569879 -0.160933090
#> c:54  -0.109655536 -0.1191012451  0.783555415 -0.24586808  0.282042359
#> b:55   0.528782781  0.7412145918 -0.876087404  0.13347680  0.371107064
#> a:56   0.663304468  0.5475874141 -0.026983174 -0.53994698  0.607797770
#> a:57   0.510553082  0.6016497819 -0.684598684  0.16382530  0.649920521
#> c:58   0.805841015  0.1297924792  0.032177403 -0.82943692  0.608226485
#> b:59   0.105116946 -0.3547438386 -0.531906201  0.39673764  0.395688805
#> c:60  -0.804572568 -0.2193379478  0.446567200  0.32437929 -0.903928898
#> a:61   0.146417665 -0.7395580859  0.440577935 -0.38936738  0.375921423
#> c:62   0.726814154  0.0248757439  0.143414489 -0.92028573  0.396619075
#> d:63   0.335703178 -0.5605020955 -0.098526204 -0.33640357  0.248335360
#> b:64  -0.544757942 -0.9028764952  0.228895841  0.50586612 -0.032843149
#> a:65   0.011792432 -0.5137030967  0.150186406  0.28563607  0.846288386
#> a:66  -0.197266135  0.6834914914 -0.341724153  0.48775700 -0.192164621
#> b:67   0.029452428 -0.6292910101 -0.047705069 -0.15933669 -0.151979542
#> a:68  -0.799029467 -0.8192295023  0.689737561  0.29842855 -0.509874997
#> a:69  -0.222709555 -0.2731680606  0.892857853 -0.44803289 -0.215609822
#> c:70   0.212182366  0.8405709067 -0.532467504  0.24258836  0.158592278
#> c:71  -0.131067441 -0.3278703334  0.008257668 -0.23075630 -0.691715368
#> a:72  -0.059657101 -0.2539511899 -0.459364270  0.15018936 -0.415697648
#> a:73  -0.174111674 -0.0014865808 -0.131915288  0.68238608  0.626586355
#> a:74   0.596436774  0.1696140716 -0.310509748 -0.76801228 -0.272011990
#> a:75  -0.949092490 -0.6407864736  0.382875089  0.78795089 -0.431569382
#> d:76            NA  0.5197019755 -0.551443463 -0.72218006  0.494909278
#> c:77   0.519701975            NA -0.579101583 -0.25683712 -0.041022683
#> a:78  -0.551443463 -0.5791015830           NA -0.04507633 -0.142691595
#> c:79  -0.722180058 -0.2568371168 -0.045076327          NA -0.067750055
#> a:80   0.494909278 -0.0410226832 -0.142691595 -0.06775005           NA
#> b:81   0.193480562  0.7793891189 -0.727959514  0.36002564  0.088101643
#> b:82  -0.372236218 -0.0034923154  0.792994062 -0.05693828 -0.070863372
#> d:83  -0.901988358 -0.4422208493  0.687915323  0.37055500 -0.723952435
#> c:84  -0.107259145 -0.6697760957  0.818588962 -0.31756289  0.309571614
#> d:85  -0.629029694 -0.1194194146 -0.075000909  0.46389600 -0.871080507
#> b:86   0.613781426  0.9597744684 -0.738368731 -0.17226546  0.165932706
#> c:87   0.560237594  0.0529729658 -0.220729127 -0.09970904  0.994995168
#> d:88  -0.426054275  0.0914491832  0.497033176  0.37641857  0.187114520
#> b:89  -0.764293778 -0.0816644750 -0.103917485  0.84713769 -0.567558875
#> a:90  -0.812168740 -0.6273613632  0.131921530  0.86593092 -0.251525129
#> d:91  -0.675370213 -0.2639644699  0.880983339  0.19622598 -0.238638065
#> a:92   0.580656700  0.0956665732  0.289418778 -0.66001016  0.662255318
#> b:93   0.329462065 -0.3322952589  0.578443108 -0.73350408  0.320605668
#> c:94  -0.036493524 -0.2200963674 -0.077929920 -0.29319429 -0.688970713
#> d:95  -0.066406372  0.6710599001 -0.028056983 -0.19549880 -0.699805457
#> b:96   0.061541713  0.5048344693  0.138406877  0.08039693  0.385699970
#> a:97  -0.391605300 -0.2876934342 -0.194768146  0.26755158 -0.727739910
#> a:98  -0.826979924 -0.6675365240  0.183223018  0.83962093 -0.265431327
#> c:99   0.735332378  0.0848781823 -0.648207313 -0.47703552  0.212481399
#> a:100 -0.159494366  0.1437053593  0.192758529  0.41558453  0.560473246
#>                b:81         b:82         d:83         c:84        d:85
#> a:1   -0.2852344756 -0.208474571 -0.300180501  0.483002027 -0.46819266
#> c:2   -0.3700116341 -0.600131189 -0.650018369  0.304403279 -0.46478305
#> a:3   -0.4546766574 -0.541266101  0.340738742 -0.057983724  0.67989214
#> a:4    0.0736105748  0.201537753 -0.689852255  0.377153774 -0.98338159
#> a:5   -0.3579046012  0.817748209  0.622214349  0.357105820  0.09594964
#> a:6    0.2024105095 -0.840860029 -0.206830885 -0.636634078  0.54186872
#> b:7    0.4142722560  0.493226742  0.542733442 -0.235742873  0.34013068
#> d:8   -0.8818822912 -0.221636140 -0.004322012  0.683195346 -0.16223658
#> b:9    0.2545841080 -0.475645071 -0.081686477 -0.642376151  0.51070144
#> b:10   0.0562336844 -0.851065165 -0.633067048 -0.123220650 -0.17421426
#> b:11  -0.8049365780  0.263876806  0.664486524  0.485393780  0.37475217
#> c:12  -0.5239262168 -0.374615666  0.400243824  0.011490768  0.64298109
#> b:13   0.5548270924  0.569303244 -0.198210189 -0.210192519 -0.39060709
#> c:14   0.2948469219  0.411159812  0.733804522 -0.407308166  0.70825771
#> d:15   0.0107857378  0.124399368  0.765405354 -0.125427394  0.70958588
#> b:16  -0.2660988096 -0.435143789 -0.718389745  0.214201577 -0.54481886
#> d:17  -0.1149089965  0.188562886  0.244209838  0.346305452 -0.08780763
#> b:18   0.2553665010  0.004388963 -0.731686208 -0.079507849 -0.65499856
#> a:19   0.6935650721 -0.278966470  0.008843669 -0.618945776  0.35191152
#> b:20   0.9151037561 -0.576359797 -0.517496100 -0.937338871  0.17620664
#> b:21  -0.2908673056  0.799246490  0.341600855  0.378221643 -0.17830571
#> d:22   0.2726065518  0.213788346 -0.439625790  0.216364228 -0.71455676
#> d:23   0.0004677528 -0.619840197  0.363224256 -0.456351023  0.88318021
#> c:24  -0.3409133664 -0.034226594  0.472213651  0.310775123  0.28991019
#> b:25  -0.2415360605 -0.494827768 -0.122759058  0.220341895 -0.02608544
#> d:26   0.8016130505 -0.457720413 -0.238129145 -0.972663805  0.44216577
#> d:27  -0.4403148369  0.180508900 -0.523549192  0.690224601 -0.90313698
#> c:28   0.5663983911 -0.892105169 -0.541871282 -0.679548115  0.18053211
#> c:29  -0.7511255311  0.377535152  0.116008991  0.683773646 -0.30971230
#> c:30   0.6149973372  0.253331725  0.193849145 -0.351780195  0.14513299
#> a:31   0.2914045902 -0.239330018 -0.896959855 -0.126790919 -0.68854135
#> c:32   0.2962530838  0.198340563  0.060760783 -0.422801333  0.21493783
#> c:33  -0.2522323554 -0.261146426  0.120879897 -0.173810357  0.41660799
#> a:34   0.9585240576 -0.199388167 -0.556186928 -0.703066928 -0.18541498
#> b:35  -0.4762121212  0.180071747  0.531134695  0.511240247  0.15582608
#> d:36  -0.2384370345 -0.481306578 -0.299549316  0.289226953 -0.23777754
#> c:37  -0.6024435535 -0.372669138 -0.458365290  0.581812147 -0.51655700
#> c:38  -0.3096828878 -0.236015431  0.715892597 -0.079606941  0.86462641
#> d:39  -0.4807134121  0.041459397  0.600337020  0.046842880  0.62949959
#> c:40  -0.0797469571 -0.614783063 -0.211224079 -0.341426197  0.32527736
#> c:41  -0.5056030023  0.683193226 -0.042775415  0.755298176 -0.69140596
#> c:42   0.9131157206 -0.543567470 -0.530222272 -0.936037385  0.15369043
#> c:43  -0.6535288292  0.517081916  0.236234315  0.596945338 -0.21954261
#> d:44  -0.7018616983  0.441689326  0.818333491  0.633262990  0.29424696
#> b:45  -0.6333999690  0.321865821  0.939846256  0.357060659  0.63337890
#> c:46  -0.5549034893  0.690583747  0.283886606  0.591361354 -0.26757938
#> b:47  -0.6816218717 -0.351957830  0.429922913  0.332755385  0.46220717
#> b:48  -0.6558015099 -0.281043982  0.574555757  0.244849782  0.62235672
#> a:49   0.4217695316 -0.451164310 -0.611689005 -0.554848157 -0.07906075
#> a:50   0.2485077267 -0.350004127  0.503092493 -0.531240040  0.88451519
#> a:51   0.7216184901 -0.643588247 -0.848254392 -0.588193894 -0.29292156
#> b:52   0.6797012790  0.313110938  0.105804751 -0.366267599  0.03820462
#> b:53  -0.0363113589 -0.704992819  0.144243841 -0.264699764  0.58624924
#> c:54  -0.3703067766  0.909734026  0.212037086  0.731549417 -0.57802713
#> b:55   0.9100856182 -0.444790710 -0.729489285 -0.752126649 -0.19488517
#> a:56   0.2182141007  0.387920800 -0.596388356  0.188165461 -0.86806025
#> a:57   0.8088827767 -0.257956596 -0.772065561 -0.488496027 -0.46808564
#> c:58  -0.2936284042  0.062545246 -0.648137608  0.490382415 -0.86288332
#> b:59   0.1067324519 -0.824439932 -0.411880553 -0.202468323  0.05158990
#> c:60  -0.2064724048  0.325676282  0.943649404 -0.076533606  0.82975298
#> a:61  -0.8621619451 -0.053143876 -0.079870301  0.837556838 -0.41304530
#> c:62  -0.4806622404  0.067332583 -0.479385985  0.557681766 -0.70832879
#> d:63  -0.5865721781 -0.615270889 -0.310283526  0.363189345 -0.13972745
#> b:64  -0.4933597122 -0.328453881  0.362136182  0.294325985  0.36153581
#> a:65  -0.1755940272 -0.021350239 -0.316206797  0.491861086 -0.59072519
#> a:66   0.8745794552  0.187216174  0.061531068 -0.723263040  0.25718366
#> b:67  -0.6041422176 -0.631010307  0.030633364  0.213430262  0.28223506
#> a:68  -0.7055747006  0.213005298  0.856429925  0.457505627  0.54486476
#> a:69  -0.6958743054  0.801339163  0.518991803  0.753947953 -0.18311708
#> c:70   0.9488975752  0.070214247 -0.358843113 -0.688815750 -0.11629851
#> c:71  -0.4839067564 -0.417705353  0.362137690 -0.034487737  0.64745163
#> a:72  -0.0714289080 -0.834714346  0.042819511 -0.397379693  0.66001484
#> a:73   0.4934812749  0.079884900 -0.228094469 -0.105147601 -0.30997114
#> a:74  -0.2644547348 -0.478072932 -0.289736474 -0.080275515  0.06901479
#> a:75  -0.2084280384  0.080677845  0.789192463  0.045846006  0.68557018
#> d:76   0.1934805622 -0.372236218 -0.901988358 -0.107259145 -0.62902969
#> c:77   0.7793891189 -0.003492315 -0.442220849 -0.669776096 -0.11941941
#> a:78  -0.7279595136  0.792994062  0.687915323  0.818588962 -0.07500091
#> c:79   0.3600256396 -0.056938283  0.370554998 -0.317562893  0.46389600
#> a:80   0.0881016428 -0.070863372 -0.723952435  0.309571614 -0.87108051
#> b:81             NA -0.218011002 -0.389202624 -0.857001961  0.07118271
#> b:82  -0.2180110018           NA  0.497087416  0.497915668 -0.23274453
#> d:83  -0.3892026244  0.497087416           NA  0.209176338  0.65741926
#> c:84  -0.8570019613  0.497915668  0.209176338           NA -0.48329978
#> d:85   0.0711827080 -0.232744529  0.657419259 -0.483299785          NA
#> b:86   0.8563120158 -0.190123950 -0.634161199 -0.711386899 -0.21393352
#> c:87   0.1619755414 -0.103666182 -0.781605935  0.234114045 -0.87536438
#> d:88   0.2009839638  0.830923175  0.308801247  0.210028917 -0.25389356
#> b:89   0.3632053563 -0.105985419  0.584827758 -0.545931151  0.84321004
#> a:90  -0.0754941677 -0.187055632  0.555100244 -0.081518534  0.63087560
#> d:91  -0.3248406104  0.931648423  0.749505001  0.500888221  0.04179849
#> a:92  -0.2748180163  0.414110271 -0.468052399  0.624023620 -0.94033490
#> b:93  -0.7670048460  0.370317928 -0.096403648  0.874104826 -0.63386557
#> c:94  -0.4134128468 -0.455366732  0.283807632 -0.106517663  0.62554196
#> d:95   0.3447870913  0.350499097  0.324852929 -0.454797234  0.39805758
#> b:96   0.4696606699  0.668176734 -0.143968842  0.004142031 -0.51723726
#> a:97  -0.1301975141 -0.544110298  0.434942226 -0.371961126  0.89728867
#> a:98  -0.1356419167 -0.161203070  0.586464406 -0.029185859  0.62843838
#> c:99  -0.0319769186 -0.841335371 -0.686130147 -0.192804277 -0.13813196
#> a:100  0.3796013379  0.548356785 -0.091061492  0.117701453 -0.48909298
#>                b:86         c:87         d:88        b:89         a:90
#> a:1   -0.4197148323  0.706410753  0.023997251 -0.22172254  0.336274618
#> c:2   -0.1152795847  0.535967708 -0.679870391 -0.64960457 -0.242975030
#> a:3   -0.4858275283 -0.618524277 -0.780401178  0.27518398  0.407144615
#> a:4    0.2883220490  0.928916999  0.325868216 -0.73938971 -0.553473728
#> a:5   -0.1967044769 -0.537573196  0.408800093 -0.09071910 -0.298508839
#> a:6    0.2513191815 -0.373629759 -0.874672406  0.22398890  0.059518729
#> b:7    0.0020485467 -0.230477361  0.786235953  0.72683693  0.512093625
#> d:8   -0.6748238971  0.054978001 -0.563384840 -0.49640144 -0.005409504
#> b:9    0.4335182994 -0.557591885 -0.660568345  0.12873162 -0.264988432
#> b:10   0.0133775177  0.532526198 -0.601052294 -0.13353966  0.201859532
#> b:11  -0.6672822149 -0.685424040 -0.252374181 -0.05458454  0.051346622
#> c:12  -0.4556637372 -0.711969407 -0.737098383  0.16098454  0.221080839
#> b:13   0.6974113848  0.190363312  0.634354515 -0.19115355 -0.616447710
#> c:14   0.0522619712 -0.771390283  0.407872759  0.74437435  0.313312630
#> d:15  -0.4818402265 -0.502493767  0.313186206  0.89747013  0.919615074
#> b:16   0.1727681698  0.440223786 -0.651652390 -0.83443000 -0.649002062
#> d:17  -0.5088850840  0.330539896  0.510583850  0.32206402  0.694085956
#> b:18   0.7069949102  0.441762987 -0.112496696 -0.75879115 -0.967478789
#> a:19   0.2339782273  0.073534440  0.255070142  0.75913770  0.641895812
#> b:20   0.8265053743  0.114210714 -0.208023826  0.31770111 -0.059293692
#> b:21  -0.0004986918 -0.302613405  0.387540226 -0.36125062 -0.578479342
#> d:22   0.1656804051  0.865036077  0.591137978 -0.23329297 -0.033544558
#> d:23  -0.2660008125 -0.623869061 -0.575825129  0.70431615  0.687751597
#> c:24  -0.7578488354 -0.033847940  0.154862579  0.49366501  0.904949759
#> b:25  -0.5024481628  0.383320048 -0.238360298  0.13554053  0.647058482
#> d:26   0.7691325299 -0.288813801 -0.279866944  0.40630297 -0.109828269
#> d:27  -0.0541779316  0.679834313 -0.016123351 -0.96534207 -0.648613292
#> c:28   0.3943946265  0.259040756 -0.496146365  0.29656995  0.282849223
#> c:29  -0.3309206212 -0.130610423 -0.167091877 -0.69894759 -0.565070602
#> c:30   0.1881272926  0.104580308  0.719494500  0.64535791  0.487510338
#> a:31   0.7005909773  0.599171498 -0.257373715 -0.75454654 -0.862120624
#> c:32   0.5578782363 -0.500946059 -0.059045861 -0.04542788 -0.590746537
#> c:33   0.0386688251 -0.636811619 -0.691014578 -0.11599758 -0.322552717
#> a:34   0.8425560536  0.433727241  0.266148215  0.18148528 -0.140163657
#> b:35  -0.8351759967 -0.001989305  0.289677974  0.35412871  0.797447940
#> d:36  -0.4138343649  0.562909311 -0.232205866 -0.06691695  0.469096062
#> c:37  -0.3692875739  0.520885183 -0.516975737 -0.68397243 -0.166555578
#> c:38  -0.6393338260 -0.704834300 -0.277076513  0.72871932  0.840325365
#> d:39  -0.3570112078 -0.878104159 -0.421564766  0.15070951  0.023864470
#> c:40   0.1959006231 -0.385967984 -0.895224307 -0.15414978 -0.301894149
#> c:41  -0.1398661967  0.270028240  0.334651970 -0.78629211 -0.663034913
#> c:42   0.8681504698  0.096210861 -0.212836919  0.26573083 -0.144549571
#> c:43  -0.2565368188 -0.260804514 -0.032235139 -0.59039900 -0.578603324
#> d:44  -0.9339936082 -0.364650259  0.285599902  0.29238084  0.622727094
#> b:45  -0.8049511064 -0.764122805  0.035833043  0.43262401  0.549681226
#> c:46  -0.1964403939 -0.228425783  0.191537326 -0.54351622 -0.587027344
#> b:47  -0.8380371217 -0.346395759 -0.498909862  0.24150998  0.654362113
#> b:48  -0.8073109665 -0.561146495 -0.490387676  0.34191048  0.639349462
#> a:49   0.7656538991  0.012694603 -0.544336313 -0.33368895 -0.688824029
#> a:50  -0.1974522503 -0.566322988 -0.119244214  0.95535442  0.858384892
#> a:51   0.7054358725  0.621969003 -0.226140756 -0.06978697 -0.151482554
#> b:52   0.3142509048  0.167224526  0.768155574  0.54395603  0.331054758
#> b:53  -0.3783117955 -0.190468733 -0.489828657  0.58878241  0.819816747
#> c:54  -0.2348745669  0.242241297  0.731757809 -0.44930877 -0.339120502
#> b:55   0.8938120286  0.450296625 -0.039781687  0.04583135 -0.251155808
#> a:56   0.5522795792  0.647801500  0.376196003 -0.73855068 -0.843433147
#> a:57   0.7829086075  0.708630440  0.189118204 -0.10505896 -0.261614792
#> c:58   0.1686201190  0.624239451 -0.156316760 -0.99660264 -0.811546704
#> b:59  -0.0994518662  0.384961208 -0.493249783  0.16674851  0.490760714
#> c:60  -0.4249467213 -0.934303745  0.134227520  0.67962518  0.490975965
#> a:61  -0.6809606994  0.313015726 -0.309175875 -0.59575946 -0.027228374
#> c:62   0.0137794762  0.404839889 -0.285182971 -0.97611551 -0.781638723
#> d:63  -0.4306196430  0.220477008 -0.772843979 -0.41301196  0.052125616
#> b:64  -0.8014622056 -0.109285035 -0.256385041  0.36983040  0.835623098
#> a:65  -0.3105262245  0.793505207  0.252937434 -0.25080283  0.245602137
#> a:66   0.6483076992 -0.140703099  0.517953062  0.56479445  0.059162102
#> b:67  -0.5610864314 -0.185728647 -0.830737807 -0.06585160  0.307197009
#> a:68  -0.9228794047 -0.592473624 -0.004632983  0.39946035  0.669711233
#> a:69  -0.4862884751 -0.261436448  0.351007685 -0.36989214 -0.282672103
#> c:70   0.8725940911  0.229359892  0.430652044  0.20852883 -0.251851729
#> c:71  -0.4129172536 -0.702051848 -0.766057093  0.16488365  0.209956522
#> a:72  -0.1818372295 -0.410704128 -0.841791983  0.38921730  0.456898686
#> a:73   0.1693777884  0.613668074  0.600272830  0.24107008  0.336572256
#> a:74   0.1274305787 -0.231129059 -0.850744048 -0.43820153 -0.491732914
#> a:75  -0.6663870889 -0.499153857  0.192347564  0.80076245  0.947530098
#> d:76   0.6137814264  0.560237594 -0.426054275 -0.76429378 -0.812168740
#> c:77   0.9597744684  0.052972966  0.091449183 -0.08166448 -0.627361363
#> a:78  -0.7383687314 -0.220729127  0.497033176 -0.10391749  0.131921530
#> c:79  -0.1722654602 -0.099709037  0.376418574  0.84713769  0.865930920
#> a:80   0.1659327061  0.994995168  0.187114520 -0.56755888 -0.251525129
#> b:81   0.8563120158  0.161975541  0.200983964  0.36320536 -0.075494168
#> b:82  -0.1901239500 -0.103666182  0.830923175 -0.10598542 -0.187055632
#> d:83  -0.6341611991 -0.781605935  0.308801247  0.58482776  0.555100244
#> c:84  -0.7113868993  0.234114045  0.210028917 -0.54593115 -0.081518534
#> d:85  -0.2139335217 -0.875364376 -0.253893564  0.84321004  0.630875602
#> b:86             NA  0.260687211  0.021097219 -0.10404593 -0.565446274
#> c:87   0.2606872114           NA  0.162782240 -0.57811363 -0.310573999
#> d:88   0.0210972187  0.162782240           NA  0.15035008  0.051970136
#> b:89  -0.1040459295 -0.578113629  0.150350082          NA  0.800319905
#> a:90  -0.5654462744 -0.310573999  0.051970136  0.80031990           NA
#> d:91  -0.4482860677 -0.294841986  0.788145509  0.16903692  0.164231300
#> a:92   0.1013277828  0.661352459  0.247309525 -0.91972381 -0.743482937
#> b:93  -0.3895968459  0.284542391 -0.030283858 -0.84947911 -0.517011726
#> c:94  -0.3047801636 -0.687586993 -0.804595671  0.12687877  0.121588209
#> d:95   0.4481805723 -0.645326437  0.163212156  0.23747120 -0.339257214
#> b:96   0.4717835439  0.406721722  0.862603434 -0.13742183 -0.368695747
#> a:97  -0.3163935999 -0.735426670 -0.625726155  0.61619697  0.582156391
#> a:98  -0.6145788987 -0.328651737  0.047809233  0.77854533  0.998055172
#> c:99   0.2265824023  0.252533151 -0.901108776 -0.41878695 -0.295698009
#> a:100  0.1983652244  0.548276569  0.892824409  0.02402445  0.016256537
#>               d:91         a:92         b:93        c:94         d:95
#> a:1   -0.134332676  0.268309697  0.252054020 -0.36539494 -0.981823880
#> c:2   -0.671832062  0.389005350  0.489015199  0.23784078 -0.686687691
#> a:3   -0.306939152 -0.583176563 -0.066960364  0.94436460 -0.057313041
#> a:4   -0.063471494  0.871172088  0.490454129 -0.73375935 -0.419516923
#> a:5    0.768928047  0.213999153  0.387690393  0.10071862  0.660072553
#> a:6   -0.776048621 -0.571304989 -0.413806691  0.75736387  0.161252613
#> b:7    0.623276864 -0.401505660 -0.577043547 -0.49621249  0.278220730
#> d:8   -0.152053092  0.271825667  0.710912714  0.51702562 -0.550591269
#> b:9   -0.513499584 -0.414181170 -0.309421968  0.71539978  0.613628403
#> b:10  -0.807523251 -0.071704732 -0.101586807  0.09200148 -0.767278311
#> b:11   0.391166570 -0.070763169  0.474421268  0.70304636  0.228426745
#> c:12  -0.191004809 -0.464782053  0.071827472  0.98602610  0.129912258
#> b:13   0.297441705  0.419000857 -0.036910108 -0.62024427  0.591488649
#> c:14   0.537458402 -0.594487538 -0.553086594  0.08870243  0.762694355
#> d:15   0.449216569 -0.748809613 -0.563499790  0.03834400 -0.003696862
#> b:16  -0.639361914  0.563083224  0.587254501  0.26476369 -0.296907926
#> d:17   0.379245216 -0.080738772 -0.108123749 -0.52757951 -0.648621077
#> b:18  -0.355321296  0.685962051  0.367607291 -0.18897547  0.250362282
#> a:19  -0.128393301 -0.621118277 -0.882833532 -0.36434424 -0.121244575
#> b:20  -0.654735825 -0.389564467 -0.766905665 -0.09543137  0.236079985
#> b:21   0.638420693  0.471368656  0.527762156 -0.01989638  0.631604006
#> d:22   0.100800267  0.492382007  0.069203859 -0.93077178 -0.529357395
#> d:23  -0.329762702 -0.915814070 -0.582292730  0.71432496  0.010528045
#> c:24   0.278795772 -0.394446063 -0.155461827 -0.04844002 -0.619864143
#> b:25  -0.289222995 -0.186367356 -0.059354580 -0.02650261 -0.921461964
#> d:26  -0.512932851 -0.522933680 -0.750117138  0.20042337  0.583703774
#> d:27  -0.052525409  0.947133796  0.881378604 -0.26396971 -0.421652855
#> c:28  -0.837839637 -0.462033103 -0.641131240  0.07403775 -0.327898894
#> c:29   0.256758479  0.596323738  0.891184357  0.34538559  0.128628963
#> c:30   0.340148469 -0.334144509 -0.666212381 -0.67508953  0.038489619
#> a:31  -0.573679594  0.636118305  0.301501964 -0.18897343  0.011923281
#> c:32   0.026700049 -0.019923452 -0.085273351  0.28035971  0.939540321
#> c:33  -0.278732165 -0.191016253  0.138647090  0.87810595  0.514503854
#> a:34  -0.347076447 -0.062149561 -0.622512385 -0.59872919  0.128929256
#> b:35   0.459614362 -0.207825679  0.043296245 -0.12806233 -0.601102900
#> d:36  -0.347329976  0.016029285  0.074128190 -0.12575019 -0.978531570
#> c:37  -0.409378064  0.487723726  0.670203006  0.17825140 -0.768020814
#> c:38   0.118890481 -0.822395543 -0.370678429  0.61225195 -0.049798764
#> d:39   0.159512919 -0.346689925  0.136373846  0.86356721  0.510684246
#> c:40  -0.648052983 -0.221224752  0.012128301  0.84276481  0.278221818
#> c:41   0.467779678  0.889202095  0.891632370 -0.25954028  0.043052451
#> c:42  -0.648044962 -0.344151091 -0.726420020 -0.07918441  0.303588636
#> c:43   0.390691382  0.535927839  0.798944004  0.30878634  0.335092168
#> d:44   0.705733443 -0.170089305  0.240480985  0.12475467 -0.241329298
#> b:45   0.596188843 -0.423528232  0.087601906  0.50469538  0.141179040
#> c:46   0.545005637  0.577397925  0.754697986  0.12140832  0.409116957
#> b:47  -0.052888362 -0.421312338  0.107648202  0.63870585 -0.481303395
#> b:48   0.027153715 -0.526098121  0.041401416  0.74802997 -0.256544332
#> a:49  -0.683841904  0.093654754 -0.082567737  0.30082478  0.433792607
#> a:50  -0.040311224 -0.977498306 -0.811945554  0.32210537  0.072364725
#> a:51  -0.776775386  0.001850398 -0.428942749 -0.32621361 -0.268642425
#> b:52   0.338597490 -0.218674979 -0.620515582 -0.75027693  0.114587900
#> b:53  -0.404805336 -0.746401594 -0.500635504  0.41809148 -0.471961025
#> c:54   0.779332977  0.721985232  0.652821129 -0.54742631  0.030198422
#> b:55  -0.616074962 -0.050354061 -0.559532996 -0.38908995  0.080109082
#> a:56   0.038563855  0.867840667  0.451132385 -0.62985765  0.095975332
#> a:57  -0.453405864  0.196639161 -0.372512135 -0.66763596 -0.136135956
#> c:58  -0.223744607  0.915618366  0.805084624 -0.16140827 -0.248110087
#> b:59  -0.682927097 -0.320888765 -0.315928419  0.08301642 -0.756923481
#> c:60   0.563106478 -0.637194250 -0.283180696  0.45371940  0.534277663
#> a:61  -0.019928796  0.477591983  0.801596338  0.19894434 -0.704706778
#> c:62  -0.176618889  0.837601127  0.882109729  0.08221545 -0.168200098
#> d:63  -0.550625762  0.117992567  0.436774877  0.50824940 -0.681593317
#> b:64  -0.008393411 -0.437320299 -0.059601035  0.30190621 -0.677101334
#> a:65   0.001912454  0.385750515  0.254526441 -0.58628812 -0.903012806
#> a:66   0.143527779 -0.358216192 -0.759128483 -0.43894033  0.583318082
#> b:67  -0.450113076 -0.253220229  0.214009451  0.76889578 -0.477599145
#> a:68   0.519604578 -0.395203352  0.125561583  0.44649618 -0.134631674
#> a:69   0.760560501  0.477858764  0.734216672  0.04975346  0.239546228
#> c:70  -0.103762723 -0.037627998 -0.585092478 -0.59065561  0.431425847
#> c:71  -0.239969533 -0.479772315  0.041258416  0.99276444  0.135497863
#> a:72  -0.621724738 -0.708401613 -0.383900193  0.79572922 -0.148713170
#> a:73   0.091658649  0.032699628 -0.373824743 -0.85032889 -0.429894715
#> a:74  -0.574457451  0.074628742  0.314457814  0.76751147  0.187594871
#> a:75   0.432405502 -0.699423970 -0.401810776  0.15876812 -0.143676483
#> d:76  -0.675370213  0.580656700  0.329462065 -0.03649352 -0.066406372
#> c:77  -0.263964470  0.095666573 -0.332295259 -0.22009637  0.671059900
#> a:78   0.880983339  0.289418778  0.578443108 -0.07792992 -0.028056983
#> c:79   0.196225979 -0.660010159 -0.733504076 -0.29319429 -0.195498800
#> a:80  -0.238638065  0.662255318  0.320605668 -0.68897071 -0.699805457
#> b:81  -0.324840610 -0.274818016 -0.767004846 -0.41341285  0.344787091
#> b:82   0.931648423  0.414110271  0.370317928 -0.45536673  0.350499097
#> d:83   0.749505001 -0.468052399 -0.096403648  0.28380763  0.324852929
#> c:84   0.500888221  0.624023620  0.874104826 -0.10651766 -0.454797234
#> d:85   0.041798491 -0.940334900 -0.633865567  0.62554196  0.398057575
#> b:86  -0.448286068  0.101327783 -0.389596846 -0.30478016  0.448180572
#> c:87  -0.294841986  0.661352459  0.284542391 -0.68758699 -0.645326437
#> d:88   0.788145509  0.247309525 -0.030283858 -0.80459567  0.163212156
#> b:89   0.169036917 -0.919723810 -0.849479111  0.12687877  0.237471201
#> a:90   0.164231300 -0.743482937 -0.517011726  0.12158821 -0.339257214
#> d:91            NA  0.131933150  0.230586592 -0.31056166  0.260555163
#> a:92   0.131933150           NA  0.816007152 -0.45984843 -0.209005492
#> b:93   0.230586592  0.816007152           NA  0.02364573 -0.262819175
#> c:94  -0.310561660 -0.459848429  0.023645730          NA  0.193952305
#> d:95   0.260555163 -0.209005492 -0.262819175  0.19395230           NA
#> b:96   0.458263332  0.472174414 -0.006865901 -0.88593186  0.261848598
#> a:97  -0.270094718 -0.856956175 -0.448007376  0.83811910  0.115748990
#> a:98   0.194741994 -0.724537556 -0.468542104  0.14594626 -0.345983211
#> c:99  -0.922803180  0.063232874  0.122814682  0.48210826 -0.311624687
#> a:100  0.457790040  0.344798215 -0.087442513 -0.97973964 -0.136987745
#>               b:96        a:97         a:98         c:99         a:100
#> a:1   -0.086388038 -0.25215705  0.340615142  0.157539659  0.3193558950
#> c:2   -0.494252285 -0.02725751 -0.232278056  0.846591282 -0.3903116116
#> a:3   -0.969326906  0.91573236  0.430125155  0.442771827 -0.9027203655
#> a:4    0.592459162 -0.91605409 -0.560682955  0.091279618  0.6014517002
#> a:5    0.276231012 -0.13946184 -0.261607673 -0.584669197 -0.0062663411
#> a:6   -0.721506448  0.75455965  0.042016077  0.728916448 -0.8071435877
#> b:7    0.534539712 -0.06338274  0.492695128 -0.871398317  0.6457632255
#> d:8   -0.676579254  0.20678815  0.041579368  0.482912979 -0.5606002906
#> b:9   -0.443042942  0.57920916 -0.277197307  0.501870676 -0.7501009005
#> b:10  -0.476798331  0.17846602  0.182430115  0.753015783 -0.2070185397
#> b:11  -0.516439911  0.43882440  0.106363167 -0.082366655 -0.6177500181
#> c:12  -0.898258151  0.84517868  0.252119399  0.384546397 -0.9430695896
#> b:13   0.898353645 -0.69589150 -0.638990983 -0.416771594  0.5937043387
#> c:14   0.200908981  0.33243799  0.306619392 -0.682192735  0.0717996795
#> d:15  -0.130346922  0.49940262  0.918744275 -0.599204771  0.1420660785
#> b:16  -0.312956756 -0.17086465 -0.638458025  0.846897709 -0.4423934630
#> d:17   0.178811121 -0.16181675  0.694352552 -0.478158245  0.6092480564
#> b:18   0.371340513 -0.57996603 -0.979301340  0.414289768  0.0260216013
#> a:19   0.169590010  0.18182717  0.594114892 -0.236908452  0.4218604660
#> b:20   0.105256584  0.13305007 -0.118252259  0.338237265  0.0267025438
#> b:21   0.404248694 -0.36968809 -0.545901704 -0.438330160  0.0553373595
#> d:22   0.667501158 -0.77822274 -0.055022113 -0.236368225  0.8772404889
#> d:23  -0.784976486  0.97590329  0.682092882  0.250044975 -0.6370766316
#> c:24  -0.287001067  0.30762308  0.917660994 -0.310675443  0.1621720908
#> b:25  -0.436594166  0.21585940  0.646720528  0.262161697  0.0189904066
#> d:26  -0.014291341  0.34698516 -0.156642114  0.260295270 -0.2283686886
#> d:27   0.184887927 -0.68550338 -0.623759593  0.297771166  0.1312352370
#> c:28  -0.321361402  0.34871546  0.236209438  0.592546670 -0.1509358975
#> c:29  -0.147598144 -0.17484612 -0.512919886  0.115801617 -0.3775065165
#> c:30   0.582885266 -0.18640510  0.450902402 -0.664999699  0.7677359062
#> a:31   0.245854836 -0.52334628 -0.881030374  0.601053340 -0.0007701686
#> c:32   0.176028962  0.05100952 -0.596033866 -0.016923997 -0.2872362084
#> c:33  -0.589181148  0.55758789 -0.302456336  0.461926069 -0.8969732726
#> a:34   0.567872873 -0.34229683 -0.200003819  0.005582627  0.5336182342
#> b:35  -0.171408634  0.14817769  0.820665607 -0.429637351  0.2466663262
#> d:36  -0.345883856  0.03824651  0.468226839  0.343024033  0.0802677527
#> c:37  -0.451932098 -0.10455398 -0.140566994  0.650867397 -0.2973347093
#> c:38  -0.688059769  0.87954950  0.856205040 -0.118287794 -0.4693682166
#> d:39  -0.582825049  0.65884250  0.060168280  0.048188745 -0.7847420329
#> c:40  -0.685681750  0.57644337 -0.298156587  0.763474361 -0.9181853504
#> c:41   0.406005854 -0.69454884 -0.624695145 -0.193200581  0.2166048479
#> c:42   0.128699010  0.10560141 -0.202233098  0.347195813  0.0044223199
#> c:43  -0.024426485 -0.18307153 -0.529031390 -0.050418076 -0.3140434481
#> d:44  -0.216609835  0.23243575  0.666528603 -0.554015283  0.0289176727
#> b:45  -0.424218970  0.55793164  0.592797957 -0.437455263 -0.3374572740
#> c:46   0.189153641 -0.32457904 -0.541378269 -0.245787325 -0.1097998897
#> b:47  -0.854507892  0.70056080  0.687788781  0.212669811 -0.5708619772
#> b:48  -0.862086852  0.80169643  0.674357719  0.132434151 -0.6547282548
#> a:49  -0.085658635  0.04021698 -0.712863385  0.661802953 -0.4371297610
#> a:50  -0.404297005  0.78311355  0.839858726 -0.171065461 -0.1935602331
#> a:51   0.135351158 -0.18016882 -0.204636260  0.529528080  0.1896535307
#> b:52   0.702000521 -0.31246282  0.291952975 -0.663840027  0.8243058667
#> b:53  -0.718150670  0.75973450  0.810003680  0.300196198 -0.3720600427
#> c:54   0.644630776 -0.74982286 -0.307999676 -0.617241347  0.5771300266
#> b:55   0.349106110 -0.22743337 -0.310338850  0.318235960  0.2796811077
#> a:56   0.738424123 -0.91958257 -0.851850425 -0.006694235  0.5072504371
#> a:57   0.543357084 -0.51013389 -0.315496772  0.179275152  0.5531935737
#> c:58   0.160376847 -0.63420032 -0.794576377  0.449101719  0.0010981623
#> b:59  -0.496591532  0.32952494  0.468147440  0.563813614 -0.1429610739
#> c:60  -0.233716147  0.60570398  0.512075823 -0.545053501 -0.2722680022
#> a:61  -0.426388392 -0.08306062  0.018092429  0.332324023 -0.2492684781
#> c:62  -0.030157715 -0.45180533 -0.752041662  0.474525928 -0.2212887567
#> d:63  -0.768856784  0.30258171  0.075939127  0.766319729 -0.5985306273
#> b:64  -0.644062488  0.53981338  0.854959589  0.056292276 -0.2257788662
#> a:65   0.170001468 -0.46157005  0.245596160 -0.011850342  0.5430531793
#> a:66   0.608410154 -0.11204950  0.012672265 -0.476802961  0.4933031331
#> b:67  -0.960322663  0.66103296  0.334044412  0.643937596 -0.7912876690
#> a:68  -0.496903913  0.54121876  0.713120663 -0.359351772 -0.2919258100
#> a:69   0.169924927 -0.27586574 -0.229682680 -0.464836546  0.0153015579
#> c:70   0.712548087 -0.38644116 -0.305297925 -0.213601743  0.5589685809
#> c:71  -0.906096170  0.85619956  0.238230645  0.421475146 -0.9563785648
#> a:72  -0.911015062  0.90853932  0.452467974  0.606794515 -0.7930794018
#> a:73   0.570876770 -0.46039453  0.300924596 -0.360587619  0.8564656633
#> a:74  -0.611784115  0.36367535 -0.476184651  0.781763785 -0.8693113672
#> a:75  -0.294595433  0.55832253  0.958357015 -0.505228026  0.0168694638
#> d:76   0.061541713 -0.39160530 -0.826979924  0.735332378 -0.1594943656
#> c:77   0.504834469 -0.28769343 -0.667536524  0.084878182  0.1437053593
#> a:78   0.138406877 -0.19476815  0.183223018 -0.648207313  0.1927585287
#> c:79   0.080396930  0.26755158  0.839620929 -0.477035520  0.4155845273
#> a:80   0.385699970 -0.72773991 -0.265431327  0.212481399  0.5604732458
#> b:81   0.469660670 -0.13019751 -0.135641917 -0.031976919  0.3796013379
#> b:82   0.668176734 -0.54411030 -0.161203070 -0.841335371  0.5483567846
#> d:83  -0.143968842  0.43494223  0.586464406 -0.686130147 -0.0910614923
#> c:84   0.004142031 -0.37196113 -0.029185859 -0.192804277  0.1177014534
#> d:85  -0.517237262  0.89728867  0.628438376 -0.138131963 -0.4890929755
#> b:86   0.471783544 -0.31639360 -0.614578899  0.226582402  0.1983652244
#> c:87   0.406721722 -0.73542667 -0.328651737  0.252533151  0.5482765687
#> d:88   0.862603434 -0.62572616  0.047809233 -0.901108776  0.8928244086
#> b:89  -0.137421835  0.61619697  0.778545327 -0.418786954  0.0240244495
#> a:90  -0.368695747  0.58215639  0.998055172 -0.295698009  0.0162565371
#> d:91   0.458263332 -0.27009472  0.194741994 -0.922803180  0.4577900396
#> a:92   0.472174414 -0.85695617 -0.724537556  0.063232874  0.3447982150
#> b:93  -0.006865901 -0.44800738 -0.468542104  0.122814682 -0.0874425130
#> c:94  -0.885931855  0.83811910  0.145946264  0.482108258 -0.9797396448
#> d:95   0.261848598  0.11574899 -0.345983211 -0.311624687 -0.1369877453
#> b:96            NA -0.83588202 -0.389275827 -0.601411114  0.8826461963
#> a:97  -0.835882023          NA  0.586622851  0.259779504 -0.7583851940
#> a:98  -0.389275827  0.58662285           NA -0.303614266 -0.0047590872
#> c:99  -0.601411114  0.25977950 -0.303614266           NA -0.6381947980
#> a:100  0.882646196 -0.75838519 -0.004759087 -0.638194798            NA
data.frame(id = rownames(res)) %>% dplyr::inner_join(attr(res, "map"))
#> Joining with `by = join_by(id)`
#>        id annotation primary_key
#> 1     a:1          a           1
#> 2     c:2          c           2
#> 3     a:3          a           3
#> 4     a:4          a           4
#> 5     a:5          a           5
#> 6     a:6          a           6
#> 7     b:7          b           7
#> 8     d:8          d           8
#> 9     b:9          b           9
#> 10   b:10          b          10
#> 11   b:11          b          11
#> 12   c:12          c          12
#> 13   b:13          b          13
#> 14   c:14          c          14
#> 15   d:15          d          15
#> 16   b:16          b          16
#> 17   d:17          d          17
#> 18   b:18          b          18
#> 19   a:19          a          19
#> 20   b:20          b          20
#> 21   b:21          b          21
#> 22   d:22          d          22
#> 23   d:23          d          23
#> 24   c:24          c          24
#> 25   b:25          b          25
#> 26   d:26          d          26
#> 27   d:27          d          27
#> 28   c:28          c          28
#> 29   c:29          c          29
#> 30   c:30          c          30
#> 31   a:31          a          31
#> 32   c:32          c          32
#> 33   c:33          c          33
#> 34   a:34          a          34
#> 35   b:35          b          35
#> 36   d:36          d          36
#> 37   c:37          c          37
#> 38   c:38          c          38
#> 39   d:39          d          39
#> 40   c:40          c          40
#> 41   c:41          c          41
#> 42   c:42          c          42
#> 43   c:43          c          43
#> 44   d:44          d          44
#> 45   b:45          b          45
#> 46   c:46          c          46
#> 47   b:47          b          47
#> 48   b:48          b          48
#> 49   a:49          a          49
#> 50   a:50          a          50
#> 51   a:51          a          51
#> 52   b:52          b          52
#> 53   b:53          b          53
#> 54   c:54          c          54
#> 55   b:55          b          55
#> 56   a:56          a          56
#> 57   a:57          a          57
#> 58   c:58          c          58
#> 59   b:59          b          59
#> 60   c:60          c          60
#> 61   a:61          a          61
#> 62   c:62          c          62
#> 63   d:63          d          63
#> 64   b:64          b          64
#> 65   a:65          a          65
#> 66   a:66          a          66
#> 67   b:67          b          67
#> 68   a:68          a          68
#> 69   a:69          a          69
#> 70   c:70          c          70
#> 71   c:71          c          71
#> 72   a:72          a          72
#> 73   a:73          a          73
#> 74   a:74          a          74
#> 75   a:75          a          75
#> 76   d:76          d          76
#> 77   c:77          c          77
#> 78   a:78          a          78
#> 79   c:79          c          79
#> 80   a:80          a          80
#> 81   b:81          b          81
#> 82   b:82          b          82
#> 83   d:83          d          83
#> 84   c:84          c          84
#> 85   d:85          d          85
#> 86   b:86          b          86
#> 87   c:87          c          87
#> 88   d:88          d          88
#> 89   b:89          b          89
#> 90   a:90          a          90
#> 91   d:91          d          91
#> 92   a:92          a          92
#> 93   b:93          b          93
#> 94   c:94          c          94
#> 95   d:95          d          95
#> 96   b:96          b          96
#> 97   a:97          a          97
#> 98   a:98          a          98
#> 99   c:99          c          99
#> 100 a:100          a         100