Simulate Heterogeneous, Low-Rank, and Sparse Data with Autoregressive Response
Source:R/simulate_response.R
simulate_response.RdSimulate Heterogeneous, Low-Rank, and Sparse Data with Autoregressive Response
Usage
simulate_response(
N = 100,
k = 2,
p = 30,
m = 35,
b = 1,
d = 20,
h = 0.2,
case = "independent",
response = "independent"
)Arguments
- N
The sample size, default = 100.
- k
The number of groups, default = 2.
- p
The number of predictor features, default = 30.
- m
The number of response features, default = 35.
- b
The signal-to-noise ratio, default = 1.
- d
The singular value, default = 20.
- h
The lower bound for the singular matrix simulation, default = 0.2.
- case
The covariance case, "independent" or "dependent", default = "independent".
Value
A list of simulation values, including x matrix, y matrix, coefficients and true clustering assignments.
Examples
simulate_response()
#> $x
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 0.34548069 1.80426048 -1.241950585 -0.81642932 -1.08441373
#> [2,] -1.20252117 0.26209096 -0.346692997 -0.00891784 0.23896191
#> [3,] -0.47661705 0.47999178 -0.376706000 0.04895916 0.64594325
#> [4,] -1.06579513 -0.97540607 0.688675414 1.02715177 -0.16049509
#> [5,] 0.93479808 0.18066510 -3.367784013 -0.30658182 -1.61431807
#> [6,] -1.71921990 -0.55575226 -0.355881969 0.80432368 -0.25234683
#> [7,] -0.23587803 -0.52303063 -2.508993362 -1.18291166 0.19482103
#> [8,] -1.46716194 0.63461361 -0.244008760 1.03340728 0.06957369
#> [9,] 0.20142024 -0.37499463 -0.012307467 0.17692919 2.01054856
#> [10,] -1.07800990 0.91991360 1.218779594 -0.48338157 -0.11323892
#> [11,] 0.66781056 -1.56986202 0.111780648 -0.76202595 0.93263860
#> [12,] -0.47250729 0.12686397 -0.326688904 -1.48118714 -0.33101350
#> [13,] 0.42340746 -0.13877915 2.173176426 -0.82393855 -1.83234204
#> [14,] -1.22082010 -1.18871256 -0.775344490 -0.76156900 0.80765898
#> [15,] -0.66559203 2.92184060 -1.568341331 -1.71685764 -1.15225988
#> [16,] 2.23579944 0.12686930 -1.160476910 0.66689481 0.91907074
#> [17,] 1.96784089 0.46246532 0.009870007 -0.59256786 0.74985248
#> [18,] -1.92863529 0.58918958 -0.197354582 -0.69934795 0.70534989
#> [19,] -0.40764960 0.48695321 -2.036276939 0.71768750 -0.10727414
#> [20,] 0.83067769 -0.72640602 -0.456691672 0.44031902 -0.05886865
#> [21,] -1.61082087 1.78611602 -1.503460503 0.10218975 -1.36993115
#> [22,] 1.09688237 -0.29605386 -0.609909572 -0.19851818 -0.65406987
#> [23,] 0.81357202 -0.18751906 1.650197309 0.36231834 -0.24943432
#> [24,] 0.83558903 -0.31801355 0.764717458 -1.15218262 0.84243877
#> [25,] -0.66134589 -1.08695782 0.424304037 -0.13042287 -1.87214501
#> [26,] 0.06737475 0.36544925 0.528759054 0.62074386 -0.43499811
#> [27,] 1.25077395 0.96210681 -0.271218216 0.95778319 -1.01180089
#> [28,] 1.27844867 1.22729302 0.194232813 1.14004337 0.38047749
#> [29,] 1.23222252 0.50420878 -0.782212875 -1.63801432 1.24576322
#> [30,] -1.33944726 -0.54730479 0.334769197 1.18898603 -0.48508804
#> [31,] -0.21555249 -1.50786739 -0.604976110 -1.50415190 1.05221318
#> [32,] -0.58469971 0.78452714 0.074051064 -0.31992633 -0.53464006
#> [33,] 0.16676052 -0.24437944 1.647712605 -0.31653295 1.08117328
#> [34,] 0.14312486 0.76870230 -0.371488371 -1.39886492 0.14910344
#> [35,] -0.51493149 0.42495726 -0.085146723 0.28213478 -2.32002884
#> [36,] -0.49457488 -1.28832145 0.174177644 0.23126838 0.40778886
#> [37,] 0.06932436 1.03805788 0.065532904 0.48939784 1.09702716
#> [38,] -0.79920412 0.22925187 0.241830521 -0.30725437 -1.84644953
#> [39,] 1.46394856 0.27336378 -0.308887734 -0.29713431 1.54674740
#> [40,] 0.87718821 -0.76332561 1.064157643 1.15293912 0.75255231
#> [41,] 1.06654705 -1.05116608 -0.886742346 -1.65946356 -0.46095705
#> [42,] 0.86534023 0.08062311 0.430206045 0.38788755 0.03584852
#> [43,] -0.99663908 0.77091440 -0.295562308 0.34921297 -0.49794170
#> [44,] -1.12765491 0.27515707 1.057359256 0.53460867 -0.69580713
#> [45,] -2.28642970 0.71604176 0.302900452 -1.59830571 -0.50424054
#> [46,] -0.38610696 -1.33022692 -1.089227524 1.16233450 0.47186232
#> [47,] -0.19877492 2.40525207 0.066840424 -1.63352258 -1.07807451
#> [48,] 1.05019907 -1.25577222 0.968025327 -0.81238298 1.82053397
#> [49,] -1.37217655 0.23735025 2.584404518 0.38734322 1.79411267
#> [50,] 1.26086560 -1.40654205 0.843763447 -0.70575566 -0.38046747
#> [51,] -0.26191809 0.93581539 0.189374950 -1.27706721 -0.91016100
#> [52,] 0.43829695 1.08661378 -0.444073069 0.66712870 0.73783346
#> [53,] 1.44822837 1.56264861 0.715686203 1.41124106 0.12207893
#> [54,] -0.04545372 0.96500906 0.101291911 1.90205900 1.05417620
#> [55,] 0.71615376 -0.63214232 0.980752694 0.09161959 0.78504501
#> [56,] 3.35190638 -0.09745107 0.480423807 -0.34740211 -0.49556189
#> [57,] 0.50998827 1.25580604 -0.273818043 -1.02846369 -0.62117699
#> [58,] -0.51770699 -1.64055709 -0.687956381 1.64448127 -1.08773156
#> [59,] 0.65172078 -1.01854356 0.269934203 -0.11392666 0.14098551
#> [60,] 0.65918002 -1.28469613 -0.328998504 0.17474591 -2.02387389
#> [61,] -0.14019266 -0.11194518 -1.158223041 -0.81125076 0.67655333
#> [62,] -0.79456070 -0.43515342 0.073231039 0.60437533 -1.31873367
#> [63,] 0.14326007 0.60365280 0.552559335 -0.26848023 -0.88361084
#> [64,] -0.70164154 -0.49829183 1.602056135 -0.17039432 -1.80400917
#> [65,] 0.84284001 0.40772167 0.319478689 0.65951420 0.15132659
#> [66,] -1.32232481 -1.22460444 0.753781326 -0.59448721 1.44928046
#> [67,] -1.39460230 1.05909611 2.113938999 0.43088562 1.12497703
#> [68,] -0.44305877 -1.21485231 -0.799827193 -1.71440171 -0.46255602
#> [69,] -0.53040066 0.81517430 -1.425995231 0.22884171 -2.50734686
#> [70,] -1.13806464 -1.41299817 1.448366832 1.44432468 -0.06563931
#> [71,] 0.58658344 0.93085960 0.044946378 -0.54989549 -0.20655800
#> [72,] -1.00502054 1.82446001 0.797848406 -0.62127349 -0.77752544
#> [73,] 1.03780205 1.11735944 -0.520775925 0.51097357 -0.01615512
#> [74,] 0.35018541 0.27071004 0.312806652 0.66664066 0.15419588
#> [75,] -0.24841687 -0.22740880 -1.210343256 0.81041371 0.67351064
#> [76,] 1.11846246 1.98661654 -0.416099405 -1.25775558 -0.25258731
#> [77,] 1.05353546 0.89453649 0.884794180 -2.39555160 0.17703415
#> [78,] -0.04795117 0.71146333 0.048907385 -0.27533633 1.56242110
#> [79,] 1.73612158 1.55694410 0.743368186 -0.28809650 -0.89811462
#> [80,] -0.01572275 1.11748255 -1.416491407 0.13076648 0.24089555
#> [81,] -0.52895606 -0.70407850 -1.500519243 -0.66743073 -0.91467344
#> [82,] 0.65616136 -0.36379434 -1.535459530 -0.17645200 -0.59263371
#> [83,] 0.63810350 0.29814878 0.409692057 1.68926941 -0.39882869
#> [84,] -0.67772174 -0.65699774 0.139531079 1.21880755 -0.94446221
#> [85,] 0.60347254 1.24969992 1.859664331 1.20413021 0.22678009
#> [86,] -1.26239845 0.27505964 -0.116993612 -0.86030199 0.58231819
#> [87,] -0.89806959 -1.51291229 -0.325408363 -0.60497958 0.06136009
#> [88,] -0.19427123 -0.55718204 -0.142225607 -0.77663006 -1.71652704
#> [89,] -0.52496819 0.19112520 -1.773895209 -0.13886745 0.57680155
#> [90,] -2.19687812 0.08668273 0.054715851 0.59989069 -0.15093011
#> [91,] -0.48103898 0.49802927 0.575470086 0.08637076 -0.58396170
#> [92,] 0.56254955 -0.50112709 -0.020770081 0.02810846 0.02930643
#> [93,] 0.08002124 -1.10376759 -1.325883037 -0.48962445 -0.24335038
#> [94,] 1.56749152 1.25653103 0.307370421 -1.83536838 0.10688852
#> [95,] -0.29751257 -0.29068839 0.638309248 -0.54412239 -0.87367215
#> [96,] -0.39476868 -1.31125340 1.000110774 0.18698298 -0.40608499
#> [97,] -0.71102824 1.07170085 1.256600938 0.04912664 -0.36854012
#> [98,] 0.71158509 1.86453976 1.623908250 -0.19007249 0.78487234
#> [99,] 2.13792304 -0.63779349 -0.539948524 -0.33194389 0.42110961
#> [100,] -1.01192320 -0.91411673 1.162747456 -0.49508317 -0.17257073
#> [,6] [,7] [,8] [,9] [,10]
#> [1,] 0.0785107723 -0.137369913 0.302278188 0.943865567 1.984449417
#> [2,] -1.3034722915 -0.731877672 -0.546840909 -1.440488159 2.407637294
#> [3,] -0.5956148711 0.601931419 -0.334550091 1.235305697 0.969244072
#> [4,] -0.4005134714 -0.890867450 0.751295338 -0.329748881 -0.527963309
#> [5,] -0.1593280777 1.072261623 -1.266621896 0.879731081 0.566379882
#> [6,] 1.0373151773 -0.924639727 -0.205576597 -0.478967519 0.603565287
#> [7,] -0.0486227840 1.453921534 0.003893286 -0.774860031 0.400942989
#> [8,] 0.0000781139 0.000553239 -0.399988483 2.021420804 -1.176588691
#> [9,] -0.2900006435 1.673586283 -0.180704645 0.438251481 0.946339672
#> [10,] 0.6321442127 0.988451756 0.609362218 0.339222948 -0.087985706
#> [11,] 1.8934484683 -0.305297188 -0.548544468 -0.143250647 0.909956747
#> [12,] -0.9839659575 -0.688079037 0.259946709 0.927673759 -0.872794820
#> [13,] -0.0844870889 1.778824450 -0.865616240 -0.013307234 -0.136539178
#> [14,] 1.1847080072 0.521073292 1.869069939 -0.531621866 -0.244756153
#> [15,] -0.9403662412 -0.610412546 -0.006546994 0.042359775 0.681331614
#> [16,] 1.2569318387 -0.357502621 0.647590134 -0.415520420 1.829737853
#> [17,] -1.6814560838 -1.100220885 -0.604755237 0.356303591 -2.550883193
#> [18,] -2.0534998534 -1.353193788 -2.037354422 0.934377861 2.525831088
#> [19,] -0.7062953072 -0.933107669 -0.024402660 -0.149652542 0.137834558
#> [20,] -0.1569067572 0.381599176 1.484855724 -0.137269008 0.220643734
#> [21,] -0.4318304101 -1.222224640 -0.351134267 -0.290263818 -0.541088844
#> [22,] 1.4552350362 -0.049171420 -1.100003177 1.052734907 0.305622159
#> [23,] 0.9622901523 -0.626153470 -0.292355307 0.042298975 -0.306010881
#> [24,] -0.1251851192 1.707601255 -0.403624458 0.469374253 0.351698439
#> [25,] -1.5429057171 -0.215058721 0.100249285 -1.657492392 0.122836175
#> [26,] -0.5710380174 -0.459972897 -1.740471242 -1.094724157 0.247414670
#> [27,] -0.9720876430 -0.232492503 1.120706508 -0.601548917 0.146986067
#> [28,] -0.1004831536 -0.206739744 0.428363786 -0.769542433 2.742654804
#> [29,] 0.0977493383 0.725899482 0.745341717 -0.458654289 0.139315807
#> [30,] 0.6840231858 0.274722466 0.511068613 -0.465964655 -0.009404997
#> [31,] 0.2814721882 -0.706018669 1.079449340 0.835764329 1.680655436
#> [32,] -0.1891144109 -1.973358351 -0.316891781 0.355375852 -0.186347161
#> [33,] -1.1767804761 2.747015633 0.488709192 -0.374971455 0.667323246
#> [34,] -0.2518338153 0.274523656 0.550721024 -1.288166762 0.079513236
#> [35,] -1.3774487334 -0.082295883 0.406931886 -1.593240760 -0.090058089
#> [36,] 0.1321292149 -0.706860247 0.250438326 -0.336796724 -1.190385295
#> [37,] -0.1339918807 0.082626221 2.295717124 2.105765805 0.644371150
#> [38,] 0.0719540775 -0.089437026 -0.474412489 -0.130787724 0.553803302
#> [39,] -0.7839175535 -0.644602427 -1.445961996 0.168086314 1.499970957
#> [40,] -0.8128034948 0.296838713 -0.107790254 -0.362075619 -1.999585833
#> [41,] 1.2073140060 1.147229851 -0.440256880 -0.415285921 0.494209123
#> [42,] -1.1320115597 -1.162354865 -0.839984961 -1.253716557 -1.731245674
#> [43,] 0.1107414373 -1.195933882 -0.485689665 -0.904149045 2.045308601
#> [44,] -0.5230371763 1.142841933 -2.074441011 0.479159839 0.017610221
#> [45,] -1.1916587435 -1.521223861 -1.661031812 0.995673229 -0.750128791
#> [46,] 0.7536951199 0.158898349 -1.957427176 -0.776362910 2.282873650
#> [47,] 0.0921060670 2.903062669 -1.026095655 0.182906579 -1.185381555
#> [48,] -0.9131202268 -1.767135597 -1.171150445 -1.273223581 1.419757653
#> [49,] -0.1402175791 0.261419551 -0.020004686 1.894716526 -0.810054902
#> [50,] -0.1754876872 2.119453202 -2.062175607 -1.443601593 0.285132219
#> [51,] 0.6581854100 0.461609101 0.495704163 -2.319120798 -1.041308023
#> [52,] -0.4114542890 1.895837819 -0.070489389 -1.074068108 1.215007741
#> [53,] 1.6012230491 -0.045368890 -1.842840555 -0.390022404 -0.159227272
#> [54,] 2.4479223415 -0.054111705 -0.447127061 0.854028212 -0.715679984
#> [55,] 1.6921817825 -0.735165731 1.003732629 -0.894482522 -2.083067910
#> [56,] -0.3110776530 -1.083970158 -0.302234316 2.668879512 -0.472971987
#> [57,] -0.2596579059 0.669303203 0.147995454 -0.933591851 -0.552668810
#> [58,] -0.8308968764 -0.633557377 1.369500322 0.119956704 -2.599854466
#> [59,] 0.9647053361 -0.074587371 -0.644382599 0.084652934 0.783192654
#> [60,] 0.6619805784 -1.464151160 0.887238429 0.311836167 -0.130209885
#> [61,] -0.1708520831 0.070182941 0.468954690 -1.491579023 0.048069628
#> [62,] 0.4023096473 -1.227810843 -0.447873578 -0.366709051 -0.330946045
#> [63,] 0.7475517401 -1.293491268 1.498637713 0.067126414 0.998262988
#> [64,] 0.5876354709 -2.262946269 -1.059712866 0.620310711 0.355946996
#> [65,] 1.0225964362 -0.384616962 0.737748586 0.195088202 0.502648614
#> [66,] 0.7945030899 1.218239209 0.617822587 -0.142333267 -1.646533727
#> [67,] -0.8909071660 -0.161393923 -0.175227638 0.823061150 -0.540087936
#> [68,] -0.3163402032 0.338773804 0.003536589 0.446134946 0.324208908
#> [69,] 0.4175730904 -1.685939387 -0.154214255 -2.586394125 0.500805883
#> [70,] -0.5989470011 -0.107900654 0.434786961 -0.175513483 0.141457174
#> [71,] -0.1999687241 0.395143627 -0.197290246 -1.058944772 0.082119323
#> [72,] 1.3302887073 0.453062035 0.625532778 1.363901644 -1.130117851
#> [73,] -0.7184532200 -1.030937330 1.033579662 -0.576196066 -1.031075654
#> [74,] 2.1997732269 0.909051218 1.177172008 -2.118419719 -0.406867269
#> [75,] 0.6028777417 -0.494457520 1.541839264 0.129273402 0.899177909
#> [76,] 0.2203395014 -2.345678820 -1.265046381 -0.908816943 -0.582918091
#> [77,] 0.7789347884 -1.278372889 -1.838518546 -0.693459134 -0.214984465
#> [78,] -0.1346713665 -1.019763405 -0.862412178 0.335069548 -0.431069374
#> [79,] -0.2663544935 -0.109170001 -1.098566666 1.324130133 -0.103879790
#> [80,] 0.5325876326 -1.163303270 0.341390082 -2.157203638 -1.749368478
#> [81,] -0.4788908065 2.944913294 2.625954947 -0.007515425 0.924763118
#> [82,] 2.3866237409 -0.191330365 0.006214509 1.979487867 -1.549944889
#> [83,] -1.2515639069 0.236282598 -2.617937575 0.525237617 -0.774964928
#> [84,] -1.6054622357 0.030439169 1.580872397 0.066853965 0.529741620
#> [85,] 0.7449575441 -0.237400306 -2.130125511 1.512058052 0.535683963
#> [86,] 0.3978574559 -1.342710254 0.223713884 0.106893528 0.355015322
#> [87,] -0.2758063416 1.768324355 -0.561674178 -2.045793953 -0.852372162
#> [88,] 0.3814427919 -0.067747470 -0.618851939 0.015522524 0.596245506
#> [89,] 0.5930798590 -0.284684183 -0.407216105 0.494907146 -0.049552642
#> [90,] -0.5470053790 -0.674851827 0.036572227 -0.899784308 -1.343944979
#> [91,] 0.4428830509 0.195495074 0.858778655 -1.098137056 0.338735885
#> [92,] 0.4339710269 1.266245388 0.069167594 -0.265581014 -1.500409243
#> [93,] -1.7046079200 -0.397258748 -1.701981680 0.268830057 -1.721024420
#> [94,] 0.7285893629 0.740117561 -0.401198314 -1.162667583 1.456744610
#> [95,] 0.2289920737 0.262360312 0.775446799 -1.484230307 -0.061318874
#> [96,] 0.4323203711 0.209531603 -1.231770118 2.428435486 -0.169401409
#> [97,] -1.5422396428 -0.867277261 1.075371389 -0.353496299 -2.197300100
#> [98,] -1.1884109381 3.263833863 0.651471375 -0.320173159 -0.671621950
#> [99,] 1.0736682652 0.654302264 -2.082634690 0.441891500 -0.653867426
#> [100,] 1.3115035390 1.875873838 -2.372093610 0.131698421 0.384041147
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#> [3,] 1.317627e+00 -2.69988625 0.941393333 -0.096264537 1.37107633
#> [4,] -1.492527e+00 0.39133788 1.041356610 -0.079335592 -0.33053625
#> [5,] 1.192216e+00 0.77016918 -1.527417860 -0.224794423 0.83317982
#> [6,] 1.513892e-01 -0.79177838 -0.440030108 -0.267941320 -0.71726170
#> [7,] -6.457162e-01 -1.61921046 -0.644415062 -1.743567722 1.02258442
#> [8,] -3.868335e-02 -0.94646825 -1.641653037 0.505229975 1.21009501
#> [9,] -6.215223e-02 0.60326082 0.594563409 0.545761409 0.33348133
#> [10,] 1.771324e+00 -0.99664875 -2.496530595 -0.726928162 1.11638483
#> [11,] 3.215222e-01 -1.01008507 0.254647428 -0.953194158 -1.64789916
#> [12,] 9.414780e-01 -1.15791485 -1.052897115 -0.377933120 -0.46342846
#> [13,] 1.631528e+00 0.45361012 -1.025324601 1.109960270 -0.31069035
#> [14,] 3.747284e-01 -0.06235165 0.226391951 0.313429117 0.26275212
#> [15,] 1.705061e+00 -0.94239571 -1.869712035 -0.888596939 1.35437164
#> [16,] 5.833615e-01 -1.06454708 -0.814358383 1.026003077 -0.29312783
#> [17,] 1.362366e+00 2.55390966 0.416977614 -0.243847858 -0.65912120
#> [18,] -7.900982e-01 1.10176099 1.359763767 -0.776417609 0.06350038
#> [19,] -5.612088e-01 0.07010635 -0.939481728 0.076034095 0.82272597
#> [20,] 1.711381e+00 1.15174882 0.876935284 -1.068168657 -0.79715658
#> [21,] 3.879379e-01 0.41963708 -0.965571549 0.193548377 0.20731022
#> [22,] 8.307767e-01 -0.09152932 -0.855801696 -0.609483663 -0.40792393
#> [23,] -1.514506e+00 -1.04532172 -0.405784601 1.385831560 0.96327568
#> [24,] -1.377915e+00 -0.37503943 -0.344355165 0.489344976 -0.18019296
#> [25,] 2.297395e-01 -0.13895595 -0.788853407 -1.196462104 0.01661794
#> [26,] -4.331978e-01 -1.50310479 -0.829649303 -1.100939788 -0.18140069
#> [27,] -2.080501e+00 0.52351120 0.515985547 0.289369330 -0.35281232
#> [28,] -1.786714e+00 1.69424696 -1.448185342 1.581318702 0.57008055
#> [29,] -2.376578e-01 0.80914715 0.180223956 0.022668713 1.26329043
#> [30,] 3.955425e-01 0.25552859 -0.488459602 -1.785997656 0.93042247
#> [31,] -6.651663e-01 -1.49514454 -0.810324624 -0.079609204 0.91155053
#> [32,] -4.480580e-01 1.34382799 -1.922542945 1.161591180 0.63202903
#> [33,] -1.418969e-01 3.33382748 -0.298976414 -1.106799770 1.03939327
#> [34,] -1.166837e-01 1.32014889 -0.568399355 -0.012217058 1.92873562
#> [35,] 3.096408e-02 1.33468627 -1.834858149 -0.330883979 0.35881926
#> [36,] -1.181675e+00 -0.93212562 1.080329656 1.107059361 -2.29507798
#> [37,] 5.689338e-01 -1.37328516 1.477489101 -0.303729463 1.38087922
#> [38,] 6.112153e-01 -0.39943490 -0.491653942 -1.581979844 1.82891591
#> [39,] 1.504973e-01 -0.04283510 0.692740634 0.293108516 -0.61264422
#> [40,] -1.101092e+00 0.59418430 0.189828451 0.456854932 0.40671689
#> [41,] -1.840683e+00 0.48171207 -1.618716254 -0.643537503 -0.21417023
#> [42,] 4.727982e-01 -0.20673593 -2.418583811 0.698523106 1.88014893
#> [43,] -8.319480e-01 0.22536859 -0.451330550 0.316922766 0.35418776
#> [44,] 4.632146e-01 -0.61487382 -3.354051685 -0.902118493 1.41705189
#> [45,] -1.348097e+00 -0.70506478 1.119594836 0.638708588 -0.24873205
#> [46,] 6.930520e-01 -0.88215794 1.403856861 -0.247667780 1.40061464
#> [47,] 1.005382e-01 -1.22848759 1.357844583 0.841897320 0.49616329
#> [48,] -2.487982e-01 1.27143055 -1.004380944 1.068774125 -0.35190149
#> [49,] 1.805794e-01 0.06072851 2.495111592 0.074717400 -1.63622847
#> [50,] -1.016512e+00 -0.18261589 1.273887327 2.731780523 -0.73918362
#> [51,] -1.672879e-01 -1.67440592 -1.540653469 0.625136466 -0.93262325
#> [52,] -1.545138e+00 -0.07869001 0.079157729 -0.946796641 -0.91597175
#> [53,] 8.874481e-01 -1.70852388 -1.680696617 -0.639332139 -0.04475509
#> [54,] 5.526034e-01 -1.55139296 0.138540616 -0.959346498 -0.63752826
#> [55,] 1.689801e-01 1.22404177 -0.003491795 1.424126069 -2.59932970
#> [56,] -2.264603e-01 -0.89502684 -0.834165802 -0.809666217 3.03264816
#> [57,] -6.800318e-01 0.17024197 -0.453125143 1.091205403 0.51754760
#> [58,] -2.364986e-02 0.01699011 -0.714091196 0.789924596 0.37919425
#> [59,] -4.207135e-03 0.11012094 0.323359261 -0.500303445 0.11482094
#> [60,] -7.044881e-01 -0.93818683 -0.309045560 -1.243835964 0.45932728
#> [61,] -2.341765e-01 0.81255183 -0.251095843 0.004499199 0.40043354
#> [62,] -1.304505e+00 -0.47674113 -0.324900197 -1.733201318 -0.93039112
#> [63,] -1.376046e+00 -0.53596184 -0.181601704 -0.174566056 0.27984979
#> [64,] -5.906524e-01 -0.76984057 1.347356092 1.832112261 0.10287324
#> [65,] -4.957318e-01 1.99952450 1.450307678 -2.504336238 -1.27640119
#> [66,] -1.292858e+00 -0.83265540 0.065551963 -0.485517233 -0.09053184
#> [67,] 1.953908e+00 -1.47531774 1.795733008 0.225191686 0.62605168
#> [68,] -8.869585e-01 -0.43601577 -1.400848145 -0.923201155 -0.90358857
#> [69,] -1.900350e-01 0.38835466 -0.018780199 0.826622006 -0.86035271
#> [70,] -1.730030e-01 0.26990196 0.259392474 -0.558506964 -1.10581111
#> [71,] 1.004892e+00 -0.06247294 2.479090779 -0.389896784 -0.93157028
#> [72,] -4.440025e-01 0.86543696 0.023899473 0.204773759 -0.32531136
#> [73,] -1.079280e-01 -0.66307904 0.761757279 0.954074960 -0.84329533
#> [74,] 1.051306e+00 0.84130564 -0.726237029 -0.166710496 -0.51108378
#> [75,] -7.863648e-02 -0.66027058 -1.579488891 -0.188383023 -0.93032021
#> [76,] 8.506934e-01 0.36720538 0.270676318 -0.762573809 0.71351134
#> [77,] 1.764815e+00 0.52488740 1.436284336 0.296791996 0.33473345
#> [78,] -1.830446e-01 -0.25708242 0.443971181 -0.857319156 0.31225093
#> [79,] -4.866778e-01 0.67320689 -0.127658849 -1.287121064 -2.54263410
#> [80,] -2.771148e-01 -0.42279633 -0.502141517 0.067833758 1.55638042
#> [81,] -3.890583e-02 -0.28224050 0.920719226 -1.889856224 0.60527882
#> [82,] -1.230293e-01 -1.23626284 0.463330035 0.162189012 -1.42392392
#> [83,] -6.477195e-03 -1.53920780 0.139946065 0.437584131 -0.59978299
#> [84,] 7.452004e-01 0.98876400 0.791843236 -0.359190814 -1.48907911
#> [85,] 1.906549e+00 0.23948719 1.199026304 -0.966614314 -1.38622244
#> [86,] -9.584787e-01 -0.02694145 0.737297301 -0.054288087 0.29217559
#> [87,] 1.387885e+00 0.84177807 0.257094767 1.452426984 -0.65607145
#> [88,] -1.153917e+00 0.04621445 1.285406362 -1.158085734 0.75606543
#> [89,] -1.872736e+00 -0.18989764 1.024441079 -1.362116425 1.02242109
#> [90,] 5.009001e-01 -0.63056730 -0.198975267 0.882369685 -1.01986962
#> [91,] 4.903045e-01 -0.02923611 -0.452381473 0.929743429 0.74971414
#> [92,] -2.461090e-01 1.03472759 1.094411172 0.474169542 0.81686734
#> [93,] -1.309747e-01 -0.96030974 1.194121466 2.667641577 0.58132282
#> [94,] -1.134569e+00 -0.46519248 0.210900576 -0.107839145 -1.91750196
#> [95,] 9.540651e-01 1.45807380 -1.393161619 -1.036277460 -0.28289983
#> [96,] -2.427958e-05 -0.46604707 -2.103770609 1.645127197 -0.24505583
#> [97,] -3.499711e-01 -0.14496742 -1.465653687 -0.690010046 0.15770893
#> [98,] 2.382780e+00 -0.88487469 -0.598038658 0.337560768 0.68620193
#> [99,] 7.703371e-01 1.21869535 0.223887273 1.228053334 0.28741209
#> [100,] -1.520137e+00 -0.17855594 -0.493324765 2.184265057 1.15368703
#> [,26] [,27] [,28] [,29] [,30]
#> [1,] 0.647032057 0.763307827 -1.84705041 2.061109898 -2.49220502
#> [2,] 1.456915723 -3.258955801 1.84110929 -0.521216362 1.61185627
#> [3,] -0.658297424 -0.361542652 1.81693455 1.034001205 1.27988173
#> [4,] -0.231280840 -0.716288165 -1.53587567 -1.816262692 -0.02586662
#> [5,] 1.157017042 -0.766984640 -0.37637087 0.637848278 -0.85506796
#> [6,] 0.774057756 -0.476479542 1.93754177 0.151797337 -0.62681805
#> [7,] 0.693222801 0.298714941 -0.81745422 1.256624986 0.82194291
#> [8,] 1.283280837 0.192030106 0.02221831 1.009085433 0.53902087
#> [9,] 0.992078592 -0.008896965 1.79883488 -0.665524129 1.55442811
#> [10,] -1.083197622 -0.087364436 -0.67069767 0.138678023 0.64154322
#> [11,] 0.727120182 -0.279654661 -1.19927511 -0.013754339 -0.38171933
#> [12,] -1.267225644 -1.445323669 0.58562645 -0.216600189 0.54642871
#> [13,] 0.421668019 -0.470574777 1.69157755 0.478254120 -1.87054502
#> [14,] -0.678967725 0.195092716 -0.06060420 -1.311912959 -0.17856089
#> [15,] -0.263011754 0.183016137 1.26299730 0.448267037 -1.02334053
#> [16,] -1.901753691 -2.080729374 0.62671959 0.445504257 0.81820879
#> [17,] -0.856379777 0.949715660 0.44233586 -1.902735822 -0.11664336
#> [18,] 1.487649836 -1.721411858 -0.70744570 -0.447771516 2.54601658
#> [19,] 0.481207130 -2.077655886 1.75226077 0.825018189 -1.89082500
#> [20,] 0.724735434 -0.188380962 -0.10710960 0.168266952 1.14588632
#> [21,] -0.654251190 -0.778543597 -1.66775744 -0.579785688 0.75295268
#> [22,] -2.912092855 -0.044033520 0.77748934 1.080513188 0.07069378
#> [23,] 0.474933101 -0.392214633 0.38902951 1.496482666 1.14722087
#> [24,] -1.477566221 1.603101196 0.48762647 1.760065608 0.04153870
#> [25,] -0.900727677 0.404931751 0.30090665 0.383958851 1.13121506
#> [26,] 0.760772532 2.102888671 0.62404632 -1.631129545 -0.66315707
#> [27,] 0.354990480 0.905515787 0.50855028 0.428294328 1.56903059
#> [28,] -0.868300179 0.334086877 -1.35943214 1.179796347 1.29965887
#> [29,] 0.520905249 -0.785516008 -0.82887106 -1.603057844 0.41874823
#> [30,] 0.683791690 -0.034637941 0.61043902 -0.031634628 1.55476485
#> [31,] 1.707452654 -1.650633191 -1.87506917 0.447750350 -0.59507957
#> [32,] 1.921712671 -1.439900268 -1.49575368 -0.372563517 0.22962981
#> [33,] -1.511691815 -0.514343692 -0.23408400 1.010181199 0.59430152
#> [34,] -0.975826534 -0.165900420 -0.70520243 1.548819614 1.58498777
#> [35,] -0.512902161 0.518652655 -0.29196706 0.579375823 -0.51207354
#> [36,] -1.175372637 -0.891414644 -1.13665379 1.468084919 1.75855177
#> [37,] -0.654377241 -0.410889486 -0.06927418 -0.558445136 0.24267413
#> [38,] 0.659496249 -1.386413371 0.87122186 0.094058152 -0.09326068
#> [39,] -0.906409102 -1.554338828 0.13917890 -0.527920531 0.23240016
#> [40,] 1.472318012 2.247256480 0.42089568 0.838384319 -0.05259081
#> [41,] -0.158796990 0.556897160 -1.19203877 0.526093660 0.39447610
#> [42,] -1.756932184 -0.735073935 -2.67517302 1.050879312 -0.51879719
#> [43,] 2.802013248 1.701783137 -0.52110077 -2.651356244 2.49481948
#> [44,] 0.028794193 0.787458409 -1.94288655 -0.183606450 0.49204142
#> [45,] -0.079732098 0.551621309 -1.24938263 0.060377216 1.47866368
#> [46,] 1.442401128 -0.470554538 -1.09870461 -0.386102082 -1.73842270
#> [47,] -1.040537308 -0.613216142 -0.81644315 0.593993210 -0.18621606
#> [48,] 0.409767779 -1.966367432 1.66506590 0.761655906 -1.83095485
#> [49,] 0.002666507 0.947967366 2.03455679 -1.184488631 -0.96268078
#> [50,] 1.050852317 -0.482311002 -1.42994285 -0.883656200 -1.15362699
#> [51,] -1.189837876 -1.028476945 1.03746080 -0.840547242 -0.84245961
#> [52,] 1.050461449 -0.018719937 1.14023212 0.678106102 0.39673320
#> [53,] -1.771222248 0.658437375 -1.10915567 1.426032909 -0.77607239
#> [54,] -1.627421637 -0.146890778 1.40388362 -0.315415043 -1.61835116
#> [55,] 0.037960484 0.248132953 0.14741315 -1.986355606 -0.98046130
#> [56,] 1.470423841 -0.925081723 0.97399530 -1.346745383 -1.69366830
#> [57,] 1.079114407 1.098375583 -1.05244225 1.312822648 1.02441545
#> [58,] 0.915828965 -0.346162456 0.55190981 0.447696253 -1.10421741
#> [59,] -1.483648288 -0.275304240 1.15245112 0.090240817 -1.08972464
#> [60,] -0.482225799 -0.031133810 1.15452951 -0.286542617 0.48786036
#> [61,] 0.145210715 0.981696936 0.83531318 -0.880099329 0.83543716
#> [62,] 0.093019678 -1.033358138 1.26006748 0.593061183 0.22172295
#> [63,] -0.107672526 0.524164543 -2.88969238 -0.456101702 -0.77226221
#> [64,] 1.179329309 1.601772614 0.06722443 -2.130548255 0.46679798
#> [65,] -0.462806007 0.486900190 0.84212128 -1.762887475 -0.24595894
#> [66,] -1.365165279 0.653081489 -1.80943059 -0.781097662 0.23634779
#> [67,] -0.304400178 -0.247324441 0.88779912 0.196780190 -1.75820603
#> [68,] -0.894945046 -0.712911745 0.09382879 -0.815815349 -1.89348593
#> [69,] 1.811563988 -0.111188775 -0.03084793 1.086962586 0.61235037
#> [70,] 1.000349177 1.589357750 -1.86257725 -1.072916309 0.48734196
#> [71,] -0.130258808 0.501638190 -0.72039997 -1.577628879 -0.85384049
#> [72,] 0.562240429 -0.307782972 1.12046463 0.398599032 -0.10092540
#> [73,] 0.075019362 0.599049803 -0.89595405 0.498665836 0.78325426
#> [74,] 0.852331982 0.172719941 0.07382328 -1.343413874 -2.07134555
#> [75,] 0.058904403 0.869151190 -1.04787978 -0.006039299 -0.01292071
#> [76,] -0.654672801 0.543570816 -0.64837497 1.631342253 1.00819391
#> [77,] 0.880659861 0.648239353 -0.46358803 -0.707387835 1.17089101
#> [78,] 1.445462452 -0.446938326 -0.01736086 -1.498140336 1.60975425
#> [79,] 1.199075722 -0.575044488 -1.22897221 -0.769766239 -0.52062805
#> [80,] 0.667025251 -0.411751001 -0.63064793 0.675225784 -1.79613904
#> [81,] 1.249101043 -1.807934415 0.20349600 1.012883862 -0.30048285
#> [82,] -0.570761606 -0.208623655 0.28481972 0.729586846 -0.82635360
#> [83,] 2.002091112 0.611763978 -1.11445537 -0.366488871 -0.00647243
#> [84,] -0.906310720 0.985730148 1.44764140 0.151856888 -0.23203726
#> [85,] 0.887222761 -0.223627472 -2.38323012 -0.273028837 0.45166838
#> [86,] -1.686709020 -1.267439016 0.32940212 -0.076501098 -0.85820578
#> [87,] 0.976761763 -0.750308261 -0.49382211 -0.764208971 -1.22574062
#> [88,] -1.436640641 1.145912750 -0.99103698 1.164450860 -0.79301398
#> [89,] 1.706727729 0.856739896 -1.35511549 -0.057546660 -0.55122741
#> [90,] -1.184155650 -0.008718610 0.64877677 0.500029804 2.07774950
#> [91,] 0.187785560 -0.810425146 0.53458881 0.388249273 0.72681371
#> [92,] -1.167984228 -0.759624325 2.27205363 0.816583236 0.29856080
#> [93,] -0.452816835 0.023395308 0.73983044 0.426807416 0.31802351
#> [94,] -0.011580667 0.481272298 -0.96916327 0.905517031 0.40422889
#> [95,] -0.012751871 0.618126589 1.75655614 -2.177155556 -1.21037561
#> [96,] 0.473138831 -1.086142698 1.08722672 0.601738902 -2.97017716
#> [97,] -0.193048413 -0.595377547 -0.00056792 -0.864537668 0.62229493
#> [98,] 0.287935416 1.890374409 0.07046223 -1.262838372 0.21570547
#> [99,] 0.402653261 -0.400421995 -0.79867656 1.200387310 1.29134784
#> [100,] 0.112587445 -0.524812118 0.69896250 -0.329690816 -1.96955469
#>
#> $y
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] -15.03241461 1.7087398419 0.42098305 0.70971947 -11.95699508
#> [2,] -11.65223885 1.4169157996 0.15040112 1.61160631 -12.29980711
#> [3,] -1.54537760 3.1458269559 -0.71037328 13.34539059 13.18895994
#> [4,] 12.77048058 1.5564118643 -0.55029864 0.55486985 11.47625895
#> [5,] -10.64358598 -0.8902020374 0.18688316 0.96214607 -10.08100544
#> [6,] -0.71891004 1.2514522098 -0.32442847 0.49375408 0.11442987
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#> [14,] 1.08776886 15.59675896 -1.013906131 0.16341091 14.89789487
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#> [16,] 1.26849305 -1.57608540 1.371693646 -0.80309352 0.39803944
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#> [82,] -14.69129929 -0.83313750 1.214823724 -0.04402417 -0.63590543
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#> [,21] [,22] [,23] [,24] [,25]
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#> [4,] 0.73719870 11.0488518 -0.959167849 -0.28820935 1.54165355
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#> [6,] 0.39575613 -1.1100508 0.237733145 1.19357276 0.71821773
#> [7,] 1.48626089 4.0924891 0.076020230 2.19115661 2.33515156
#> [8,] -0.62940448 -4.1185834 -0.247052947 0.97401823 -3.64236435
#> [9,] -1.06450130 -1.1616212 -0.808582885 -0.50861695 0.44132187
#> [10,] 0.79737032 1.2277815 0.509570566 1.86771115 -0.88181965
#> [11,] -0.26443705 -7.2622629 -0.408817105 -0.63652876 -6.73152344
#> [12,] 0.04159895 -3.8168008 0.404620880 -0.93943997 -4.98854770
#> [13,] 1.04550408 -5.2932323 0.450852535 -2.41553664 0.81245330
#> [14,] -1.85315874 15.7447027 -2.561047792 -0.28063753 -0.69770715
#> [15,] 0.13388186 9.2337490 -1.178674374 -1.64271809 10.02921402
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#> [17,] -1.52347309 7.9802840 1.516728399 -1.17123416 -0.80437772
#> [18,] 1.28445283 15.8114964 -1.276842138 1.44980648 18.29425844
#> [19,] 0.91600949 -1.8010517 -0.566985519 0.68784983 0.71199819
#> [20,] -0.05161664 -4.6452681 -2.357264952 -1.24515486 -4.66418341
#> [21,] 1.26576871 -2.2871516 0.284118233 -0.34471182 -3.55766198
#> [22,] 2.25036159 -5.9506754 1.264734983 0.30947914 0.77107296
#> [23,] 0.64191939 -4.4256834 -1.356132088 -0.39663421 -0.24462764
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#> [28,] 1.83531682 -0.99010815 -12.837959933 -0.541404082 -0.061202191
#> [29,] 0.46989505 1.53479532 -5.322333966 0.124264002 0.151201600
#> [30,] -0.53311516 -0.09154903 -1.768358212 0.626624500 0.651512216
#> [31,] 0.36325482 -1.60098085 -5.766535804 0.741148743 -2.311254827
#> [32,] -1.74195136 -1.19011417 0.057001314 -1.533883348 -1.101684041
#> [33,] -0.56470005 0.03233976 -1.495547429 1.284609267 -2.026681256
#> [34,] 0.64194595 1.42958157 -7.096374190 1.854908072 -0.346469753
#> [35,] -0.14924948 -1.13670140 -0.799672901 0.265459153 -0.497093514
#> [36,] 1.29932796 -0.71936573 0.015626746 1.305065263 -1.173761976
#> [37,] 0.84232259 1.23684087 -5.977279435 0.959418716 -0.036393837
#> [38,] 0.37286743 0.88263473 0.329603080 -2.506496054 1.824751612
#> [39,] -0.65540092 -0.85692783 0.579601370 -11.432010240 -0.110150628
#> [40,] -1.23895369 1.01291066 -1.196708452 7.225903027 1.106391932
#> [41,] 0.78460531 -2.08990651 -1.769485320 0.751999025 0.752541332
#> [42,] 1.83679130 -0.55923292 -2.391799969 -1.139120361 -1.155108779
#> [43,] -0.36278019 0.10158183 -11.678040399 0.070940660 0.292602446
#> [44,] -0.94586046 -2.14674083 0.564572344 -1.413988949 0.094936165
#> [45,] -1.51456982 0.57290926 -1.252718026 -3.815429051 -1.193157529
#> [46,] -1.89262326 1.12063082 -13.135755725 -1.383183637 -0.422552127
#> [47,] 0.88193620 -0.21073467 1.991224691 2.280107723 -0.720824789
#> [48,] 0.14638929 -0.19147702 -0.655826279 -4.848171464 1.256408104
#> [49,] 0.59071176 -0.58450977 -0.282322463 6.262725390 -1.309700891
#> [50,] 0.82743950 -1.19052915 0.064170137 -0.740813703 0.559734437
#> [51,] 1.29712132 -0.38889857 5.947431562 1.790792936 -0.389011896
#> [52,] 1.29309609 0.91963727 -6.304164345 -0.747392629 2.265826082
#> [53,] 0.28762906 -0.12502368 0.222853874 -5.807623075 0.465224033
#> [54,] -0.31595946 -0.44467597 9.198921083 1.329704728 0.994233147
#> [55,] -0.93968601 2.08916145 0.003599720 16.279781967 -0.492502008
#> [56,] 1.38798025 1.36380722 0.808653178 3.745762692 -0.181153355
#> [57,] 0.82103566 0.74742617 -6.170385369 -1.065358858 1.533668009
#> [58,] 0.05517451 -2.55170076 4.508122781 -0.109730538 1.380967359
#> [59,] -1.83583764 -1.18998012 -0.134529105 -3.303068604 0.603640702
#> [60,] 0.28609108 0.43109575 2.246342966 0.303801196 0.699067505
#> [61,] 0.43916855 0.31831615 -2.102807379 0.842964251 0.521313306
#> [62,] 0.27629025 0.95984713 7.354835412 -1.241371434 -0.388037200
#> [63,] -1.48964769 -0.33184414 -0.539068178 4.894729341 -0.217700912
#> [64,] -0.75088398 -0.29909458 1.895185670 -0.246487823 0.574830416
#> [65,] -0.17937728 1.56437578 0.266824097 4.482273518 0.011089437
#> [66,] -0.22262091 -0.52283777 -0.382790485 10.264711775 0.680752137
#> [67,] -0.47498848 0.40855229 -2.841771046 0.224144621 -1.501526695
#> [68,] -0.50269900 1.34326808 -1.794268632 0.423789955 -0.752061327
#> [69,] 0.49984628 -1.29841894 3.761636727 -0.469901101 0.007804947
#> [70,] -1.69730714 0.01581379 -0.059084360 -0.784177795 0.409194786
#> [71,] -0.90918929 1.14202523 -1.237052805 3.730663995 -0.068460885
#> [72,] 0.88580501 -0.51620844 0.148785185 9.428844576 0.077728661
#> [73,] -0.27024930 -0.47249080 0.377307533 2.202346769 -0.690812887
#> [74,] 1.34632189 -0.13319482 9.452929523 -0.205384012 1.123311630
#> [75,] -0.03612524 0.33542860 -3.639882581 -0.545807447 0.030153690
#> [76,] 1.30159929 0.50660197 -0.121324587 1.610167970 0.614685296
#> [77,] -1.57079332 0.19144351 8.055485390 0.497803616 1.375842416
#> [78,] -0.54180081 -1.06030591 0.342653514 0.563842448 0.060124662
#> [79,] 1.24490716 -1.28424627 -0.730558014 -4.966542547 -0.834387427
#> [80,] 1.45203642 -1.46026332 6.321022790 0.567768573 -0.675810061
#> [81,] -0.51281923 -0.53650844 0.595665833 4.901817696 0.150510020
#> [82,] -0.34291590 1.12361112 15.472755846 0.911093126 -0.550996818
#> [83,] -1.80005581 -0.21432285 2.620149393 -0.090726097 -2.269341445
#> [84,] 0.79855174 1.49738914 -6.610422256 0.223363395 0.052290927
#> [85,] 0.63302625 -0.22504916 4.231398200 -1.138701924 -0.414039769
#> [86,] -1.45746180 1.31029251 -4.622430233 1.048054040 1.279432062
#> [87,] 1.01340662 -0.59086717 5.232456972 -0.009578755 -3.305996851
#> [88,] -0.97587231 -0.29275938 0.580542338 -3.284536806 1.939401495
#> [89,] -0.92479002 -0.43292161 2.296050627 -0.685474899 -1.685701506
#> [90,] -0.19450826 1.01491880 6.876876222 0.353638116 -0.681881677
#> [91,] -0.67222282 -1.46756126 -0.332312835 -0.818548752 -0.296882050
#> [92,] -1.53697176 -0.10171591 0.449262213 4.762549106 1.291496319
#> [93,] 0.63163363 -0.80878518 -3.027651000 -0.198584161 0.777059863
#> [94,] -0.86841287 0.15353483 -0.909809605 -8.635933671 -1.259441005
#> [95,] 1.08661120 0.82674240 0.153706932 8.448305656 0.068604476
#> [96,] 0.27698624 -0.39434814 6.629073709 1.508638727 -0.935278846
#> [97,] 1.74468526 -0.16836037 0.633461172 10.204352657 0.452795979
#> [98,] 1.53919156 2.06747785 -2.623568664 -0.014748201 -0.210258437
#> [99,] -0.41466758 -0.19746875 -0.936212630 -5.952986204 0.234676932
#> [100,] 0.97295911 -0.76534799 0.684445932 -2.412958995 1.652214881
#>
#> $a
#> $a[[1]]
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
#> [1,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [2,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [3,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [4,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [5,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [6,] 0 0 0 -3.482362 -3.482362 0 3.482362 0 3.482362 0
#> [7,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [8,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [9,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [10,] 0 0 0 4.055086 4.055086 0 -4.055086 0 -4.055086 0
#> [11,] 0 0 0 -1.978771 -1.978771 0 1.978771 0 1.978771 0
#> [12,] 0 0 0 1.433620 1.433620 0 -1.433620 0 -1.433620 0
#> [13,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [14,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [15,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [16,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [17,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [18,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [19,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [20,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [21,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [22,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [23,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [24,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [25,] 0 0 0 2.336371 2.336371 0 -2.336371 0 -2.336371 0
#> [26,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [27,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [28,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [29,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [30,] 0 0 0 0.000000 0.000000 0 0.000000 0 0.000000 0
#> [,11] [,12] [,13] [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21]
#> [1,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [2,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [3,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [4,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [5,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [6,] 0 0 0 0 0 -3.482362 0 0 0 0 0
#> [7,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [8,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [9,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [10,] 0 0 0 0 0 4.055086 0 0 0 0 0
#> [11,] 0 0 0 0 0 -1.978771 0 0 0 0 0
#> [12,] 0 0 0 0 0 1.433620 0 0 0 0 0
#> [13,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [14,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [15,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [16,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [17,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [18,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [19,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [20,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [21,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [22,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [23,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [24,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [25,] 0 0 0 0 0 2.336371 0 0 0 0 0
#> [26,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [27,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [28,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [29,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [30,] 0 0 0 0 0 0.000000 0 0 0 0 0
#> [,22] [,23] [,24] [,25] [,26] [,27] [,28] [,29] [,30]
#> [1,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [2,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [3,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [4,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [5,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [6,] -3.482362 0 0 -3.482362 0 -3.482362 0 -3.482362 0
#> [7,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [8,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [9,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [10,] 4.055086 0 0 4.055086 0 4.055086 0 4.055086 0
#> [11,] -1.978771 0 0 -1.978771 0 -1.978771 0 -1.978771 0
#> [12,] 1.433620 0 0 1.433620 0 1.433620 0 1.433620 0
#> [13,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [14,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [15,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [16,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [17,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [18,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [19,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [20,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [21,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [22,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [23,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [24,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [25,] 2.336371 0 0 2.336371 0 2.336371 0 2.336371 0
#> [26,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [27,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [28,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [29,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [30,] 0.000000 0 0 0.000000 0 0.000000 0 0.000000 0
#> [,31] [,32] [,33] [,34] [,35]
#> [1,] 0 0 0.000000 0 0
#> [2,] 0 0 0.000000 0 0
#> [3,] 0 0 0.000000 0 0
#> [4,] 0 0 0.000000 0 0
#> [5,] 0 0 0.000000 0 0
#> [6,] 0 0 3.482362 0 0
#> [7,] 0 0 0.000000 0 0
#> [8,] 0 0 0.000000 0 0
#> [9,] 0 0 0.000000 0 0
#> [10,] 0 0 -4.055086 0 0
#> [11,] 0 0 1.978771 0 0
#> [12,] 0 0 -1.433620 0 0
#> [13,] 0 0 0.000000 0 0
#> [14,] 0 0 0.000000 0 0
#> [15,] 0 0 0.000000 0 0
#> [16,] 0 0 0.000000 0 0
#> [17,] 0 0 0.000000 0 0
#> [18,] 0 0 0.000000 0 0
#> [19,] 0 0 0.000000 0 0
#> [20,] 0 0 0.000000 0 0
#> [21,] 0 0 0.000000 0 0
#> [22,] 0 0 0.000000 0 0
#> [23,] 0 0 0.000000 0 0
#> [24,] 0 0 0.000000 0 0
#> [25,] 0 0 -2.336371 0 0
#> [26,] 0 0 0.000000 0 0
#> [27,] 0 0 0.000000 0 0
#> [28,] 0 0 0.000000 0 0
#> [29,] 0 0 0.000000 0 0
#> [30,] 0 0 0.000000 0 0
#>
#> $a[[2]]
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11]
#> [1,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [2,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [3,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [4,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [5,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [6,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [7,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [8,] 3.947418 0 0 0 3.947418 0 3.947418 0 0 0 0
#> [9,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [10,] -3.676379 0 0 0 -3.676379 0 -3.676379 0 0 0 0
#> [11,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [12,] 1.275193 0 0 0 1.275193 0 1.275193 0 0 0 0
#> [13,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [14,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [15,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [16,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [17,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [18,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [19,] -2.567575 0 0 0 -2.567575 0 -2.567575 0 0 0 0
#> [20,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [21,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [22,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [23,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [24,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [25,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [26,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [27,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [28,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [29,] -1.638162 0 0 0 -1.638162 0 -1.638162 0 0 0 0
#> [30,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0 0
#> [,12] [,13] [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21]
#> [1,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [2,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [3,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [4,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [5,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [6,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [7,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [8,] 0 -3.947418 0 0 0 3.947418 0 0 3.947418 0
#> [9,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [10,] 0 3.676379 0 0 0 -3.676379 0 0 -3.676379 0
#> [11,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [12,] 0 -1.275193 0 0 0 1.275193 0 0 1.275193 0
#> [13,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [14,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [15,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [16,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [17,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [18,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [19,] 0 2.567575 0 0 0 -2.567575 0 0 -2.567575 0
#> [20,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [21,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [22,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [23,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [24,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [25,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [26,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [27,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [28,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [29,] 0 1.638162 0 0 0 -1.638162 0 0 -1.638162 0
#> [30,] 0 0.000000 0 0 0 0.000000 0 0 0.000000 0
#> [,22] [,23] [,24] [,25] [,26] [,27] [,28] [,29] [,30] [,31]
#> [1,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [2,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [3,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [4,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [5,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [6,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [7,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [8,] 3.947418 0 0 0 -3.947418 0 -3.947418 0 0 0
#> [9,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [10,] -3.676379 0 0 0 3.676379 0 3.676379 0 0 0
#> [11,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [12,] 1.275193 0 0 0 -1.275193 0 -1.275193 0 0 0
#> [13,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [14,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [15,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [16,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [17,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [18,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [19,] -2.567575 0 0 0 2.567575 0 2.567575 0 0 0
#> [20,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [21,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [22,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [23,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [24,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [25,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [26,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [27,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [28,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [29,] -1.638162 0 0 0 1.638162 0 1.638162 0 0 0
#> [30,] 0.000000 0 0 0 0.000000 0 0.000000 0 0 0
#> [,32] [,33] [,34] [,35]
#> [1,] 0 0 0.000000 0
#> [2,] 0 0 0.000000 0
#> [3,] 0 0 0.000000 0
#> [4,] 0 0 0.000000 0
#> [5,] 0 0 0.000000 0
#> [6,] 0 0 0.000000 0
#> [7,] 0 0 0.000000 0
#> [8,] 0 0 3.947418 0
#> [9,] 0 0 0.000000 0
#> [10,] 0 0 -3.676379 0
#> [11,] 0 0 0.000000 0
#> [12,] 0 0 1.275193 0
#> [13,] 0 0 0.000000 0
#> [14,] 0 0 0.000000 0
#> [15,] 0 0 0.000000 0
#> [16,] 0 0 0.000000 0
#> [17,] 0 0 0.000000 0
#> [18,] 0 0 0.000000 0
#> [19,] 0 0 -2.567575 0
#> [20,] 0 0 0.000000 0
#> [21,] 0 0 0.000000 0
#> [22,] 0 0 0.000000 0
#> [23,] 0 0 0.000000 0
#> [24,] 0 0 0.000000 0
#> [25,] 0 0 0.000000 0
#> [26,] 0 0 0.000000 0
#> [27,] 0 0 0.000000 0
#> [28,] 0 0 0.000000 0
#> [29,] 0 0 -1.638162 0
#> [30,] 0 0 0.000000 0
#>
#>
#> $true
#> [1] 2 2 1 2 2 2 1 1 2 2 1 1 2 2 1 2 2 1 2 1 1 2 2 1 2 2 1 1 1 1 1 2 2 1 2 2 1
#> [38] 2 2 2 1 1 1 2 2 1 2 2 2 1 1 1 2 1 2 2 1 1 2 1 1 1 2 2 2 2 1 2 1 1 2 2 1 1
#> [75] 1 1 1 2 2 1 2 1 1 1 1 1 1 2 1 1 1 2 1 2 2 1 2 1 2 1
#>