Simulate Heterogeneous, Low-Rank, and Sparse Data
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_lsr()
#> $x
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 0.44878974 -0.936231445 1.20875703 -0.42307734 -0.132848145
#> [2,] 0.43074449 0.729761817 0.07649509 0.36548048 -0.778071083
#> [3,] 0.50094746 1.407347277 -0.47144327 -1.52350026 -1.173624086
#> [4,] 1.86281074 0.331907026 0.95316051 0.22228011 -0.244888288
#> [5,] -0.56184359 -0.260572261 0.05636666 -0.29888603 1.062652727
#> [6,] -1.80821189 1.353756819 -1.37543528 -1.71414281 1.593976641
#> [7,] 0.23638289 -0.777187850 -1.24727243 0.19545728 2.275885712
#> [8,] 1.13198750 1.058923592 -1.05011551 -0.24754485 1.452217724
#> [9,] 0.53905783 -0.189497205 0.24582544 1.74997539 -0.590883798
#> [10,] 0.81353296 -1.757476510 -0.12693140 1.25383504 0.225679984
#> [11,] 1.94054145 0.365080649 0.32936181 0.53197160 0.328012317
#> [12,] 0.41347784 0.034890623 0.42522623 -0.55566742 -0.208337565
#> [13,] 0.54210471 -0.432773012 -2.58478162 0.37249709 -0.382222463
#> [14,] 1.28101112 0.486370600 -1.66353687 1.52900485 -0.009808640
#> [15,] 0.10316382 2.408840570 0.21569677 -0.31994968 0.520095460
#> [16,] 0.24693264 0.238534775 -0.26257912 -1.89534955 0.263904160
#> [17,] 1.17172005 0.126761383 0.42673904 0.12576984 -0.230126604
#> [18,] 1.92572892 -0.312777622 0.15177401 -1.51085751 -0.466989565
#> [19,] 1.08791837 -1.691358343 1.38977326 0.84002949 -1.282916313
#> [20,] 0.37092399 -0.964634647 1.25440406 -0.11582465 -0.251858048
#> [21,] 0.96928631 0.305605604 0.49150437 0.01681292 0.050840236
#> [22,] -0.66764258 -0.440547224 -0.87449009 -0.53120050 -0.017847655
#> [23,] -2.66857076 0.066913577 -0.71689072 0.29136890 0.297372310
#> [24,] 0.23696873 0.454500244 -0.10120133 -0.12491850 0.391454793
#> [25,] 1.35253586 -0.508880399 0.99325909 -0.21200958 0.623835160
#> [26,] 0.35395903 -0.921716747 -2.32829554 -0.27625452 0.377836525
#> [27,] -0.27981007 -0.157077228 0.96366487 -0.40334411 1.869225776
#> [28,] 1.54580005 0.057532710 1.31550295 -0.05704252 -0.788241439
#> [29,] 1.24631163 0.357673851 0.90008028 0.84226928 -1.149763177
#> [30,] 0.21748173 -0.411686545 -1.56995092 -0.96683562 -1.109554572
#> [31,] 0.54035929 2.113618135 1.35523780 1.81365039 -0.393993442
#> [32,] -0.74159992 -1.324677428 -1.21454144 -1.68287732 1.033450665
#> [33,] 0.96621955 -0.580915976 0.63839844 1.28051147 1.336823849
#> [34,] 0.57496898 0.070217601 1.18988254 -1.15340691 1.899772925
#> [35,] -0.77130133 0.945941627 -1.08560460 -1.61865421 0.641395327
#> [36,] 0.85343607 -0.044870002 0.28730417 -2.22085735 -0.907086369
#> [37,] 1.17159700 -0.538448626 -2.05672599 0.28599044 -0.186489133
#> [38,] -1.60247104 -0.882543492 -0.93789403 0.10999814 0.576678923
#> [39,] -0.64874565 -0.182546393 0.97719419 -0.15614984 -0.377110781
#> [40,] -1.46769421 2.297255134 0.31576352 -2.14593619 -0.211250532
#> [41,] -1.28577721 0.186095405 -0.73815053 -2.36938715 0.126645961
#> [42,] 1.45864975 -0.359557143 -0.87446004 0.90024391 1.180534549
#> [43,] 0.39674360 1.549266004 -2.02574934 -1.25990212 -0.947358470
#> [44,] -1.23225293 1.916943686 -0.40621783 0.89257777 0.369125672
#> [45,] -0.50473459 0.856614114 -0.69541220 -0.58507933 -0.205632382
#> [46,] 1.40059399 2.065867724 -1.84812271 -1.22141953 0.118473875
#> [47,] 0.42008313 0.828437143 0.83173917 -1.01959058 -0.548136404
#> [48,] -1.12129120 -0.692619367 0.56252473 0.70429693 -0.093848918
#> [49,] -0.39885057 0.512201733 0.82828501 -1.95004202 0.493124528
#> [50,] -1.02795518 -1.053621643 2.07759554 -1.00618908 -1.293000446
#> [51,] 3.13497087 -0.363427047 -1.62416704 -0.68271828 0.243241373
#> [52,] -0.76695145 -0.857685076 -0.13602797 0.71351725 -1.481353318
#> [53,] -1.14405876 1.119835213 -1.04963881 -0.28706729 0.783120329
#> [54,] -0.82139495 -0.689512760 -1.34033945 -0.82082041 -0.708229578
#> [55,] -0.54484555 -1.139658716 0.37668107 -0.20021591 0.538390523
#> [56,] 0.72718797 -1.900836636 0.52659420 -1.06056109 0.650379477
#> [57,] 1.81610025 1.481443147 -0.33167047 -0.82504501 0.832173702
#> [58,] 0.21138254 0.107009556 0.71178507 1.45395058 -1.186762485
#> [59,] 1.20295532 -0.070547529 -0.24095984 -0.08860884 1.548409187
#> [60,] -0.16592459 0.433362642 0.15535133 -0.76472936 -0.341756278
#> [61,] -0.95772002 1.492744713 0.85571478 -0.28500075 -0.559748987
#> [62,] -1.45493937 -0.329537741 1.09017999 -0.87400601 0.731418218
#> [63,] -0.24110128 -0.153107853 -0.24282692 -0.52746670 1.920958710
#> [64,] 1.75703046 -0.045239009 0.39496445 -1.45949391 -0.676535430
#> [65,] -2.94818574 -1.254037661 -0.55664076 0.20511468 0.079638079
#> [66,] 1.01896341 -0.435337862 2.05031233 0.27409882 1.274141282
#> [67,] -0.52826339 -0.439350287 -1.91389330 -0.24322541 0.297418290
#> [68,] -0.01148425 -0.180610604 1.10682304 -0.39164975 0.331632006
#> [69,] 0.80301292 -0.336938105 0.15622247 0.92572358 -0.924408820
#> [70,] -0.54357650 0.870666557 -0.66237425 -1.16109225 0.987262312
#> [71,] -1.50715206 0.337780131 -1.49082535 0.34827703 1.350212075
#> [72,] -1.75955003 -0.008597918 0.13958433 -0.31060284 -1.948462629
#> [73,] 0.48355640 1.602253722 0.23814708 0.42257520 -2.421159744
#> [74,] 0.41840786 -0.455296868 1.33323887 -0.97440991 1.454450272
#> [75,] -1.23819321 0.983860311 0.11055783 0.40870027 -2.647171934
#> [76,] -0.49286519 -0.175909567 0.19581668 0.31496964 -0.363660273
#> [77,] 0.74753249 -2.014655028 -0.26853063 -2.02743474 -2.207312913
#> [78,] 1.31206790 0.237138410 0.40037771 0.65278635 0.898016478
#> [79,] -0.23444559 -0.759716687 -2.22236014 1.28896182 0.195048175
#> [80,] 0.26486473 -0.198814262 2.62509687 0.56032067 -0.008935059
#> [81,] -1.89282277 1.264957277 -0.20792188 -0.31775637 -0.432298559
#> [82,] -1.51578722 0.368021204 -2.16311700 0.57539363 -1.503673458
#> [83,] 0.40327895 -1.015457836 0.37277480 0.66422330 0.543036297
#> [84,] 0.57005194 -0.411454038 1.35653325 1.11266950 0.630156053
#> [85,] -1.45671196 -1.138341044 1.27816407 -0.01784535 -1.007170149
#> [86,] 0.04154681 -0.178791619 0.01852197 -0.92783369 -0.153421441
#> [87,] -0.77571324 0.202959543 0.14420524 1.05444105 -0.022035853
#> [88,] -0.42282377 2.385594367 0.60710708 -0.18294666 1.718353031
#> [89,] -0.52651658 0.841475341 0.15490895 0.33040714 -1.079015338
#> [90,] 0.00824799 0.213940204 -0.60687240 3.91529705 -1.362597380
#> [91,] -0.84428960 -1.057531338 -1.10577319 -0.65740518 -0.944001615
#> [92,] -0.54592462 0.119674145 0.01970262 -0.50698623 -0.989845371
#> [93,] 0.43148658 0.071648649 1.62973532 -0.63108095 2.412399849
#> [94,] -0.65485196 -0.592745255 -3.01593487 0.36117564 -1.303753780
#> [95,] 0.92447542 -1.000014606 -0.40542040 1.38028064 -1.031074971
#> [96,] -0.49980919 -0.890371222 -1.04380887 1.21226607 -0.595927082
#> [97,] -0.37680426 -0.901298193 0.85366098 0.99768080 0.230869723
#> [98,] -0.63540494 -0.525494296 -0.89803695 0.14396132 1.716783593
#> [99,] -0.90658773 0.387965529 0.71627414 -0.82036125 0.488358423
#> [100,] -1.53822599 1.965478788 -0.72152815 1.14187705 -1.398082842
#> [,6] [,7] [,8] [,9] [,10]
#> [1,] 0.80986825 0.41305429 -1.558641917 -0.262071644 -0.866278635
#> [2,] 1.15272681 -0.33275490 0.716649931 0.605563905 1.022538590
#> [3,] -0.90904404 0.60746974 0.955587316 -1.888173494 0.328520616
#> [4,] -0.11818052 -0.77161424 0.702177541 1.160907694 0.877087979
#> [5,] 0.74799080 0.74013360 -1.331553979 0.290095465 -1.390403953
#> [6,] 0.35085503 0.17148376 -0.103114501 0.558290640 2.579912910
#> [7,] -0.74277694 -0.66649293 -1.103001033 0.055102132 0.714566497
#> [8,] 0.85408602 -0.62213332 2.139060592 2.259568977 0.430107378
#> [9,] 0.36005085 0.90534882 -0.774201764 0.872874864 0.864176143
#> [10,] 1.36446769 -0.12129433 -0.320237387 0.140543613 0.719227559
#> [11,] 0.87655243 -0.38283833 -2.060683505 0.419716736 0.640202245
#> [12,] -0.42090763 -0.35026847 -0.818469914 -0.153017631 -1.447143938
#> [13,] 1.29812891 -1.47393713 0.326158940 1.194776532 1.221752399
#> [14,] 1.23540410 1.09225825 0.701104163 0.003656167 -0.527653196
#> [15,] -2.69809178 -0.38662365 -0.038924949 0.628247191 1.249072633
#> [16,] -0.16526508 -1.15689595 2.386453942 -0.234005240 -2.091254940
#> [17,] 0.22640061 0.95418311 -1.080216935 0.039443499 0.745049729
#> [18,] 0.42786690 -0.24188772 0.926425567 -0.535886849 -0.218605884
#> [19,] -0.04950388 -0.74199907 0.684507271 2.001603625 -0.614727568
#> [20,] 0.83945381 0.20481508 -0.535279156 -0.508600272 1.539760883
#> [21,] 0.08906469 0.34174023 -0.191689491 -2.455682557 -1.037441404
#> [22,] 0.18047299 0.55813670 1.555053173 0.262780312 1.354554652
#> [23,] 0.61608017 1.18532152 -0.584734495 -0.298454862 -0.435552276
#> [24,] -1.29123954 -0.15056403 0.075199397 -0.207010032 0.046038432
#> [25,] 1.52583775 0.57272284 0.640193488 0.885396885 1.059161277
#> [26,] 0.15430442 -0.47810472 -0.771331190 0.426304331 -0.850936994
#> [27,] 0.56004343 0.91976942 -0.447547335 -1.628819024 0.831377994
#> [28,] 0.55221202 0.29379319 1.238301305 1.006513447 0.234352118
#> [29,] 0.32251618 0.37174007 -0.305637680 0.611028978 -1.189374371
#> [30,] -0.79605915 -0.21495991 -0.631533262 -0.837633549 0.182878950
#> [31,] -0.34714427 -0.33793262 0.858903608 0.787704404 0.500496893
#> [32,] -1.28766910 0.60219258 0.642845982 0.485869142 -0.042366182
#> [33,] 1.31688780 -1.59282422 0.629721940 -0.056290297 0.668233031
#> [34,] 1.18495570 0.65136657 0.212463630 0.127798005 0.025029968
#> [35,] -0.66842595 1.29990447 2.151624110 -0.727353459 -0.911048710
#> [36,] 0.60689394 0.38183650 -0.060104186 0.438687712 1.421767343
#> [37,] 1.31449436 -0.14278285 1.911243744 0.953474724 0.223433154
#> [38,] -0.38005416 0.72953410 -0.617660289 0.185693806 0.023744833
#> [39,] -0.49937575 -0.47479748 -0.537651674 0.600561736 0.410223069
#> [40,] 1.58599104 0.94187931 0.744452288 -1.955712804 -0.391747685
#> [41,] -0.77513968 -0.68648794 -0.452442553 -0.113688482 0.078889074
#> [42,] 0.39994973 -0.32121464 -1.537798533 -0.269382684 0.416130223
#> [43,] -0.80274702 0.42434333 -0.927666702 -0.466682904 -0.703707274
#> [44,] -1.37431639 -0.47117658 -0.139226896 0.543735951 -0.743810676
#> [45,] 1.62052246 -0.67199081 -0.747032356 0.413592632 0.303733533
#> [46,] 0.48511885 0.28709089 0.780290159 0.634540210 1.010740179
#> [47,] -0.98942679 0.80603252 0.353787887 2.609632463 0.530733684
#> [48,] 0.74064130 0.29105138 0.796189819 0.606965959 -1.265661979
#> [49,] 0.16850406 1.29848089 1.756842086 0.366362896 -1.447969157
#> [50,] -0.58412112 0.25541249 1.054315449 -1.181125002 -0.117278757
#> [51,] -0.01496172 0.64679788 1.267189364 1.110085338 0.200016207
#> [52,] 0.61264309 -0.07402390 2.257556860 -0.221725168 -1.271695894
#> [53,] 0.79851860 0.25050391 0.408699532 0.850532155 1.283617989
#> [54,] 0.44803390 0.90599486 -0.816566674 -0.005347462 2.107127437
#> [55,] 0.64937414 -1.79632558 0.187737476 -1.907717891 -0.173855740
#> [56,] -2.74707698 -0.54720733 0.383948643 1.230908859 0.082726588
#> [57,] 1.80958493 -0.05957737 -0.082529330 -1.619372239 -0.438601647
#> [58,] -0.34743296 0.11807642 0.490472961 -1.114784348 0.846433107
#> [59,] -0.12509189 1.00121357 -0.249609197 0.329416308 0.149899362
#> [60,] 0.19671354 1.89857675 0.593313966 1.019399920 -0.600247162
#> [61,] 0.26773519 0.54949776 1.800376676 -0.279694903 -0.558335987
#> [62,] -0.32393612 0.61066325 -0.805151677 1.203649127 0.140047917
#> [63,] -1.08894986 1.13717959 -1.786057671 -0.958822944 -0.540125357
#> [64,] 0.49349047 1.23346047 -0.581444231 -0.073339408 1.133663718
#> [65,] 1.42368789 -0.45684269 -0.370862600 0.284216003 -0.186766803
#> [66,] 1.28093791 0.25985800 0.046130525 -0.628529723 1.005327384
#> [67,] 0.73834171 1.04542816 -0.398320840 1.017869409 0.680933751
#> [68,] 0.46912157 1.54169189 -0.072973845 -1.134941806 -0.334498363
#> [69,] 0.49734556 0.44678846 -1.304765104 1.655319291 0.550191015
#> [70,] -0.06506457 0.39594292 -0.608655224 -0.103967589 1.345590016
#> [71,] -1.08177199 -2.28495040 -0.340529727 -0.791248406 1.034760081
#> [72,] 0.29481886 0.31865957 0.004089940 0.477192219 -0.036601280
#> [73,] -1.40698348 0.38009668 -0.409746994 -0.392751835 -0.523698911
#> [74,] 1.18475837 0.55944615 0.007716146 0.079913021 0.716175422
#> [75,] -1.99615205 1.99224409 0.678660057 -1.604837387 -1.489575038
#> [76,] -0.42185344 -2.20616868 -1.002757715 0.520221830 -1.184850198
#> [77,] 0.64701649 -1.72581898 -0.977153669 -0.117367276 1.089670234
#> [78,] 0.27764444 1.03288981 -0.314697946 -0.549632052 0.215465966
#> [79,] 0.68817887 -0.62136189 -0.312762763 0.155300327 0.847130620
#> [80,] -0.40808302 -0.15799692 -0.023884505 -0.299871704 0.871041835
#> [81,] -0.20777897 0.95293917 -1.412383902 -0.157932725 1.048243046
#> [82,] -0.54396469 -0.75244636 0.411900150 -0.975522399 -0.706279045
#> [83,] 1.06592946 -1.30139755 -1.221869115 -1.390424805 2.012931476
#> [84,] 0.96796090 -1.25281184 -0.254491168 0.964225124 -0.121052812
#> [85,] -1.39739118 0.82026098 0.833815216 -0.142077333 -0.150996521
#> [86,] 0.72749919 -0.74465253 0.962369367 -0.209030275 0.098023368
#> [87,] 0.68180664 -1.42602821 0.743233179 -1.547065270 0.025575422
#> [88,] 0.22742017 -1.30322501 0.339222671 -0.021117624 0.478562047
#> [89,] -0.48958619 0.57546458 1.530239483 -1.039128505 -0.136281447
#> [90,] 1.04417634 0.72516172 1.038115612 0.502239300 -0.380251728
#> [91,] 0.42234499 -1.39984332 -0.398089387 0.099124912 -0.146215913
#> [92,] -2.16350132 -0.29838622 0.092229470 -1.200344665 0.653641345
#> [93,] -1.00188824 1.54078225 1.063242598 0.185745021 -0.193994235
#> [94,] -1.96529911 1.20238732 1.048980514 1.229107062 2.055531882
#> [95,] -0.02216478 1.04985262 -0.561208849 0.433408725 0.191947142
#> [96,] -0.40027224 -1.18357953 -0.952204946 0.306504076 0.006591542
#> [97,] 2.60004441 -0.29110427 -1.313772229 0.311562460 2.268760093
#> [98,] -1.35857775 0.13110421 -0.765720926 -0.608880232 0.199914340
#> [99,] 0.59949672 -0.12543130 2.051085325 1.095645191 -0.856626462
#> [100,] 0.17229221 0.85341100 -0.668215983 -0.717046565 -0.651838392
#> [,11] [,12] [,13] [,14] [,15]
#> [1,] 0.851988451 -0.04638947 0.80909529 -0.368354267 0.391061531
#> [2,] -1.534358179 1.12663085 -1.10678960 2.032731851 -0.147761121
#> [3,] 2.782649256 -0.23669201 -0.16565013 0.449683353 1.670979250
#> [4,] 0.982607464 0.90982405 1.05817035 -0.247936642 0.152257070
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#> [7,] 0.78977488 -0.390844007 -0.80184671 -0.64881994 1.002309668
#> [8,] 1.10639397 0.562750766 0.23328478 0.54464386 -0.988400419
#> [9,] 0.49524659 -0.237573248 -0.11687787 0.03048309 -0.412215862
#> [10,] 0.30122462 -0.055770083 -0.57545719 1.02850066 -0.991731258
#> [11,] 0.40006274 -2.312707403 1.35623378 0.36645287 0.028616263
#> [12,] 0.81216375 0.280948083 0.73461233 2.33651355 0.369322534
#> [13,] 1.74469352 0.058080350 -0.04434581 -0.06040557 0.403482137
#> [14,] -0.16312455 -1.529773501 0.12186150 0.06849398 -1.093870984
#> [15,] -0.01392901 -1.082052968 -0.26449140 0.65214352 -0.857553521
#> [16,] -0.07456379 -0.403589689 0.80208510 0.57164659 0.633306307
#> [17,] 0.91942829 0.211706708 0.71074928 0.20786481 -0.909285721
#> [18,] 0.84007467 -0.129858505 -1.41701733 -2.17017269 -1.160288262
#> [19,] 0.15323853 0.269796042 -0.25057060 -0.81344789 0.377716340
#> [20,] 1.12335042 -1.912783076 0.34643013 1.32759475 1.064345741
#> [21,] -0.64871124 -1.154886080 0.54379292 -1.16806100 0.478960938
#> [22,] -0.32837626 -1.371583202 0.48965976 -0.45371804 2.025784532
#> [23,] -0.41813005 -0.498714295 0.91726857 -0.04317015 1.298345708
#> [24,] 0.48454346 0.562122606 -0.15770336 1.46558450 1.349606304
#> [25,] 1.65675135 -0.334405788 0.71210013 1.50374902 1.360088276
#> [26,] 0.06770421 -0.402348636 0.51070204 0.40602663 0.127220051
#> [27,] -2.36706931 -0.106138338 -0.67081757 -0.38480620 -0.525569396
#> [28,] -0.95802431 -0.389017885 -0.67855178 -0.61726842 -0.893608829
#> [29,] 0.22998258 -0.239670810 -0.73658573 -1.11062319 -0.079982567
#> [30,] -0.68519850 -0.728301309 0.06966076 -0.05065859 2.147571461
#> [31,] 1.44913585 -0.762138655 1.50785498 -0.78928863 -0.999395422
#> [32,] 0.07780718 0.491319389 0.41877202 -1.96718880 1.055189611
#> [33,] -0.88021265 -1.052815676 -1.90614428 -0.68655672 0.293930035
#> [34,] -1.14107902 -0.460963763 0.75180076 0.60896896 -0.961918814
#> [35,] -0.99375910 0.285788271 1.74336269 -1.00217362 -0.945168660
#> [36,] -0.28761556 0.221092945 1.07751811 1.30838605 -0.482233154
#> [37,] 0.18673933 -0.247876260 -0.71292031 1.57644295 0.438701075
#> [38,] -1.32858440 1.543862215 -2.36615689 -1.45234396 2.885210897
#> [39,] 0.57859974 1.276645584 -0.68414261 0.08084068 -0.168394328
#> [40,] -1.46252582 0.449000991 -0.93104547 0.12951629 -0.413149730
#> [41,] -0.41422800 1.789703700 1.13869638 -0.88856681 -0.002393276
#> [42,] 0.82160797 -0.736037185 -1.40168791 1.22475307 -0.326197802
#> [43,] -0.14899538 1.971666687 0.58479475 -0.65142454 1.985820128
#> [44,] -1.13187751 0.492374002 0.20043225 -1.00028183 0.692344802
#> [45,] -1.57993805 -0.882397714 -0.93248884 -0.42628986 -1.565076362
#> [46,] 0.26114346 0.719119685 0.55058161 0.01433298 -0.165389786
#> [47,] 0.90444531 0.591993039 -1.38210991 0.19813581 -1.663831523
#> [48,] -0.38786536 1.884274601 -1.03157133 -0.92594906 -0.066601073
#> [49,] -0.59100186 0.213662844 0.34656877 -1.82154360 -2.240861743
#> [50,] 0.60635149 -1.160050794 0.20290966 -2.01328435 -0.197544283
#> [51,] 0.41044918 -0.797656237 -0.84936153 0.36766060 -0.397045308
#> [52,] 0.45564307 -1.138221691 -0.31238838 0.95880694 0.655571241
#> [53,] -0.17921753 -0.918291217 1.61668885 -1.62498793 0.078759758
#> [54,] 0.01332068 -0.204241426 -0.56706887 0.88289793 0.975208177
#> [55,] -0.87533249 -0.182707549 0.21279131 -0.86263772 -0.089293858
#> [56,] 1.19477974 -1.136364244 -0.69528501 -0.89562308 -0.511597871
#> [57,] -0.56557571 -0.806432754 1.21651269 -0.07996481 2.118254669
#> [58,] 0.60369253 -1.180692502 -0.11756200 0.53494081 0.807233322
#> [59,] 0.57660490 0.596566089 0.25952370 -1.10855073 -0.240785881
#> [60,] 0.25488163 -1.581340365 2.25253431 0.12502651 -0.691364593
#> [61,] -0.59314991 -0.776899694 -1.18964281 -0.96679195 -0.727324216
#> [62,] 0.74325438 0.701340128 0.08917507 0.05585417 -1.266359698
#> [63,] -1.50121895 0.387800034 -1.06194208 0.01881992 0.131095918
#> [64,] 0.46526987 0.569294383 0.62797480 -0.55366555 -0.658305441
#> [65,] -0.35343886 -1.766706816 -0.37536537 0.31238453 -0.850377483
#> [66,] 0.16090397 -0.358150438 -0.20979232 -0.59564335 -0.875683344
#> [67,] 0.59727504 -0.011034305 0.33922678 0.43141582 -1.922194764
#> [68,] 0.12744081 -1.278722804 1.30309718 1.36329271 0.160426066
#> [69,] 0.02638487 0.638754649 -2.74159916 1.26196490 -1.222593674
#> [70,] -0.72820821 -0.186480569 -0.18995184 -0.72969473 0.458982984
#> [71,] 0.24249669 0.551904390 0.71423046 0.48947750 1.680526679
#> [72,] -0.22462425 -0.240294279 -1.38800183 -0.11111305 -0.515582103
#> [73,] 1.26353193 -0.875431095 0.44863035 -1.64602611 0.073587578
#> [74,] 0.58749069 1.318096191 0.12475832 0.32554775 1.224440428
#> [75,] 0.99422551 -0.640790208 0.26501300 -0.13139848 -0.744705363
#> [76,] 0.97750903 2.127915089 -1.09514328 0.28256632 0.139421950
#> [77,] -0.18019731 -1.451404869 1.80046431 -0.67017243 0.151101749
#> [78,] 1.09551494 -0.389245127 0.63445163 -0.47610194 0.969085122
#> [79,] -0.75267350 -0.702826787 -0.47014307 0.89620115 1.932369178
#> [80,] 0.09250513 1.743771519 -1.05143434 0.06437929 -2.145273106
#> [81,] -1.21196808 -1.620989319 -0.21339491 -0.12002478 0.772178718
#> [82,] -1.58016697 2.736212436 -0.75623408 0.46783942 -0.101995648
#> [83,] 0.25308859 -0.008056206 -0.75195342 0.29563330 -0.070590250
#> [84,] -0.38236724 -0.331160261 0.74890185 -0.15320157 0.475692514
#> [85,] 0.79457298 -0.595639221 1.13950030 0.05405832 -0.032544421
#> [86,] 0.40639911 -1.227580558 -2.41195727 1.68930321 -1.304618558
#> [87,] -1.24082308 -1.447153526 0.14716283 0.19741909 -1.592416893
#> [88,] 1.55683908 -1.408731248 -0.38335844 0.29158009 -0.760825079
#> [89,] -1.21833755 0.896390909 -1.75459027 0.77148001 -0.874331298
#> [90,] -0.51703737 1.544419832 -0.96744104 -1.23260299 0.535146574
#> [91,] -0.51746051 1.505554196 -0.85348416 -1.16599526 0.392505637
#> [92,] 0.74425962 1.723170404 1.27513711 -0.95584877 0.172715719
#> [93,] -0.15581406 -0.718238218 0.62518074 -0.02028810 -1.537154596
#> [94,] 0.45860467 0.308073290 -0.64455814 0.50713149 -0.446280459
#> [95,] 0.20236715 -1.541554956 1.03763790 -0.09267468 -0.723388552
#> [96,] -1.69075674 -0.223552845 0.38094244 1.02224513 -0.524029400
#> [97,] 1.15638700 -0.540464436 1.38367363 0.75928425 0.386036904
#> [98,] 1.25437559 0.351160802 -0.49120691 -0.56033855 0.276451969
#> [99,] 2.30712041 -0.316658837 -0.91851382 0.83218793 0.612258068
#> [100,] 0.30617919 -0.606201056 0.92490195 -0.34580474 0.859694995
#> [,26] [,27] [,28] [,29] [,30]
#> [1,] 0.605021416 1.20217203 0.402867156 -0.379408490 -0.41911585
#> [2,] 1.032810555 0.01596962 0.822497698 -1.309009641 -1.57601047
#> [3,] -0.650080624 -0.40214021 -1.461269402 -0.848111585 0.15610922
#> [4,] 0.488966130 -0.78959914 0.422866958 -0.300682810 -0.74904102
#> [5,] -0.371807402 0.06321605 -1.357189283 0.651690200 0.63947569
#> [6,] -0.417337952 -0.81281669 0.658519369 -0.404706055 -1.07956022
#> [7,] 1.280183607 -1.05675343 -0.998006967 -0.723935009 0.41346080
#> [8,] 1.037943032 0.72901408 -1.316008652 0.146566901 0.43132229
#> [9,] -0.705595048 -0.26899421 -0.282596930 -0.183133928 0.24370787
#> [10,] 0.981941868 -0.43411626 1.523822609 -2.166295580 0.93550479
#> [11,] -0.700520296 -0.20057676 -1.782137071 -1.112071593 -1.17259547
#> [12,] -2.162221318 0.43844542 1.236014056 0.086687223 -0.13978151
#> [13,] -1.248716025 1.90857269 0.208513367 -1.059132325 0.12380887
#> [14,] 0.088344183 -0.24920427 -1.172099437 -0.549027624 0.05066247
#> [15,] 0.290627514 -2.87487983 0.384462279 -0.264042123 -0.22672810
#> [16,] -0.117425370 0.68489774 1.697000277 -0.552367200 0.47175985
#> [17,] 2.175813399 0.71020768 0.757696035 -1.348292521 -2.44151078
#> [18,] -0.595358132 -2.49260297 1.143625968 0.674542459 0.15131602
#> [19,] -0.340670636 -0.05076696 0.597816807 0.510805962 0.58381900
#> [20,] 0.531184559 0.85473739 -0.930838638 0.556724525 -0.08935137
#> [21,] 0.151627296 -0.28953882 0.887265718 1.141750861 -0.37187942
#> [22,] -1.475856776 -0.56082430 1.030893000 0.098999691 0.68075021
#> [23,] -1.579623723 -0.38769982 0.172519955 -0.449902361 -1.68597369
#> [24,] 2.008185266 0.34074824 -0.319828151 -0.037918399 -0.45811551
#> [25,] -2.649713710 -2.25802993 0.535951811 -0.324557200 0.72423334
#> [26,] 1.463403199 0.83302871 -0.064611075 0.527992090 0.73329579
#> [27,] 0.979873077 0.51812443 0.352915826 -0.494448563 -0.25976332
#> [28,] -0.013887682 0.20348159 0.405959690 -1.847721902 -0.59526603
#> [29,] -0.806371582 -1.11134871 -0.683399896 -0.009992815 -0.89816629
#> [30,] -1.571186777 1.77988839 0.754847546 0.376008321 1.17681627
#> [31,] 1.397896840 1.75602115 -0.898755294 2.372219392 -0.95717888
#> [32,] 1.137442766 -0.35604315 0.720998012 -1.049760111 -0.01586779
#> [33,] 1.080562947 0.02208239 1.273556833 0.126224692 -2.75141511
#> [34,] -0.894823417 0.37339950 1.019672665 -0.199114642 1.15108499
#> [35,] -0.168042711 0.12680290 -0.610789571 1.551641106 -0.87449791
#> [36,] 2.349156659 -1.73680655 2.107420150 -0.125701851 -0.42393885
#> [37,] -0.109536615 -0.50819094 -0.903728039 -0.305863629 0.05477363
#> [38,] -0.327797707 1.25085443 1.494006578 0.156725997 -0.52059204
#> [39,] -1.477844641 0.99059189 -1.028283446 0.111587738 -2.06504804
#> [40,] 0.527202939 1.31388605 1.615099429 -0.809598326 -0.30784703
#> [41,] 0.626427648 0.43610023 -2.234366733 1.294487158 0.92968863
#> [42,] 1.499094243 0.11230327 -0.445557819 -1.726931311 -0.03276962
#> [43,] 0.610800524 -0.15850207 -1.057909734 1.284009672 -1.72579528
#> [44,] 0.391554906 1.09844725 0.157657054 0.725839631 0.78241186
#> [45,] -0.429808740 -1.47040965 -0.153064240 -0.351319734 1.39437917
#> [46,] 0.027782012 -0.08214292 -1.096580498 1.355445328 -1.21335726
#> [47,] 0.318138984 -0.14440704 0.497694042 1.019186619 0.43958623
#> [48,] -0.623869425 -0.68442155 -0.526996001 -1.772572046 0.89842699
#> [49,] -0.308616045 1.22574808 -0.016995439 2.190938576 -0.08093842
#> [50,] -0.009259983 1.04676696 1.011419637 -1.144026890 0.70046559
#> [51,] 0.253993489 -0.89107188 -0.120231980 1.306068179 0.12948988
#> [52,] -0.004955825 -0.95424261 2.303884405 -0.462831303 1.08218043
#> [53,] -1.334476673 -0.49971817 -0.188002936 0.293898615 2.19894689
#> [54,] -1.548680211 0.09172540 0.724131978 0.601775643 -1.46740963
#> [55,] 0.736859371 0.08125250 0.494578501 -0.210663439 -1.66778956
#> [56,] -0.119064459 1.02766469 -0.006317992 -0.242863057 -0.57037406
#> [57,] -2.785101609 0.70324661 0.212534685 -2.211020136 -1.22137607
#> [58,] 0.232725266 -1.01038297 -0.828436311 -0.563308827 -0.39280433
#> [59,] 0.172457550 0.72966194 -1.214237564 -0.166748587 1.29756980
#> [60,] -0.260500097 -0.51231066 -0.888014423 -0.094706981 -1.39013534
#> [61,] 0.489285491 -1.87160540 -1.072822598 -1.661619576 2.02590395
#> [62,] 1.120419430 1.84297073 -1.549608480 0.315921432 1.12554426
#> [63,] 0.664921813 -0.92165423 -0.566649630 0.002113403 -1.03956252
#> [64,] -0.398793149 -0.21912769 0.765278830 0.984521139 0.15336772
#> [65,] -0.569240346 1.29672014 -0.113470950 0.457625088 1.31485410
#> [66,] 0.199591725 1.56884052 2.297339323 -0.370235504 -0.26795792
#> [67,] -0.765963594 1.24119618 -0.939247629 0.270956232 -0.95594939
#> [68,] -1.113710572 -1.74925245 -0.256762709 -2.551317956 1.06139786
#> [69,] -0.816678993 0.51123015 0.867761163 -0.327230691 -0.54342471
#> [70,] -1.720416457 -0.75411656 -3.083455141 -0.625228126 0.49191239
#> [71,] -0.468282856 0.22684519 -0.374714091 0.358462342 1.16023531
#> [72,] 2.707373233 0.13172980 0.163470582 0.516477216 0.13453209
#> [73,] 0.815431129 1.64603204 -1.064143688 -1.426568016 -1.13088643
#> [74,] -0.500083465 0.81537654 0.936098018 -0.661015096 -0.12111986
#> [75,] 0.838366810 -0.44624626 -0.818445959 0.517928624 0.24286334
#> [76,] -1.133198744 -1.42824139 -0.694699548 0.893856245 -0.98509733
#> [77,] -0.480884768 0.23263397 -1.308960840 -1.037046137 0.71265438
#> [78,] 1.249699403 1.32946089 -0.137411369 0.322279655 -1.44183690
#> [79,] -1.119008367 0.97038555 -0.214719661 -0.681377603 0.63462707
#> [80,] -0.189729223 -0.11813577 -0.164424122 0.435945360 2.85894200
#> [81,] 0.924059077 -0.37637592 -0.542533086 0.296995807 0.28824365
#> [82,] 0.533096519 -1.13438376 0.175078838 0.645576677 -0.03625483
#> [83,] 0.759339160 0.41454520 -0.550365590 -1.234531972 1.07555502
#> [84,] -1.132555599 0.93023565 -0.433174222 1.321122043 -1.03486937
#> [85,] 2.069064146 0.34501127 -2.481787373 0.377675167 0.25097241
#> [86,] -0.219695824 1.42813947 1.261378645 -1.110122902 0.03799289
#> [87,] 0.916395641 -0.04780710 0.305876132 1.643321766 -1.36587365
#> [88,] 1.130973802 0.10630449 -1.068725449 1.009253123 0.63562069
#> [89,] 0.804980022 -0.69238351 1.765724291 -0.778123652 1.54712448
#> [90,] -1.776082193 -0.72724515 1.355963799 -0.530120496 0.59405374
#> [91,] -2.227526400 -0.85512991 0.284772176 -1.051320994 -0.38717637
#> [92,] 0.873194902 -0.63031210 -0.847201082 -1.119038533 0.95569775
#> [93,] 1.155022233 -0.63844911 -0.452656260 -0.307637832 0.48503982
#> [94,] 0.756662167 0.86848420 -1.696415053 1.014812000 -0.58553727
#> [95,] -0.689725109 1.68376233 -0.194092998 -0.353653320 0.24976310
#> [96,] -1.229540814 0.08245164 0.582216761 0.694120134 1.00153118
#> [97,] 0.435338324 -0.25242461 0.781341316 -1.228759707 -1.42369475
#> [98,] -3.253041317 0.64757821 -1.177300517 -0.307635384 0.78866009
#> [99,] 1.235622409 2.38902160 0.611164033 1.092075744 -0.59485404
#> [100,] 0.095130886 -0.53126520 1.638842316 1.189772701 0.94951161
#>
#> $y
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 0.1376300297 0.062842072 -3.00582060 0.43653869 3.05701782
#> [2,] 0.2656712343 0.190231841 -7.59265053 0.22594025 7.20113356
#> [3,] 0.1959733400 -0.135170186 -1.07828984 1.15158571 -0.26365497
#> [4,] -0.1040222455 0.508010107 2.95313783 0.28763159 -3.70692573
#> [5,] 0.0679233908 -0.109444853 -4.86359662 4.23392722 0.10703927
#> [6,] -0.2840022430 -0.022430806 -6.70984445 6.89399148 -0.12273873
#> [7,] -0.3930477830 0.090089761 1.91835748 0.21784751 -2.23263198
#> [8,] -0.1844388746 0.248665512 -4.10348232 3.81240339 -0.15074323
#> [9,] -0.1314695477 -0.049378478 -1.06508982 -0.13143843 1.11874885
#> [10,] -0.0461803139 -0.137094019 15.31011130 -14.76361027 0.18089887
#> [11,] -0.1399126654 -0.138771824 13.19279651 -13.36433228 0.09295300
#> [12,] -0.0815484436 -0.030672344 2.32641628 -2.30349489 -0.24893324
#> [13,] 0.2917297426 -0.006336144 1.98036203 0.14557408 -1.78904655
#> [14,] 0.0275921722 -0.016838958 11.19037924 -11.32232509 -0.05568898
#> [15,] 0.0147419358 -0.114919817 0.92408680 0.13541215 -1.02675093
#> [16,] 0.2973828840 0.121336739 -3.96726689 -0.39733648 3.13238251
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#> [14,] -1.127266e+01 -0.62332141 3.807236e-01 -0.126998466 -0.180429010
#> [15,] -4.465378e-01 -0.53927804 4.880431e-01 0.198018692 -1.110922705
#> [16,] -3.947251e-01 3.77822448 -3.952997e+00 -0.012747076 3.993907784
#> [17,] -7.234994e+00 0.26828949 1.396704e-01 0.431011100 -0.084429969
#> [18,] -4.101310e+00 -0.08136391 -1.174552e-01 0.067846443 -0.095695422
#> [19,] 7.586401e-02 1.16582756 -1.328683e+00 0.069551393 1.596989466
#> [20,] 3.978204e-01 -3.86799273 4.194619e+00 -0.100004938 -4.130221484
#> [21,] 4.312207e+00 0.18390830 8.560204e-02 0.015790906 0.480101449
#> [22,] -2.994625e-02 0.60603597 -3.315530e-01 0.109699392 0.881119328
#> [23,] -8.676266e-03 2.72998360 -2.859390e+00 0.004102678 2.594704217
#> [24,] 7.071453e-02 -0.86262787 7.872177e-01 0.204176058 -0.946232005
#> [25,] -8.572929e-02 -2.10583706 2.231019e+00 0.158634274 -2.147043098
#> [26,] -4.835190e+00 -0.02303396 -1.879727e-01 -0.114334566 0.079147568
#> [27,] -5.806692e-02 1.01375950 -9.551216e-01 -0.021508709 1.109703926
#> [28,] -1.218203e+01 0.02571698 3.480116e-01 -0.409568966 0.086819637
#> [29,] -5.869252e+00 0.02266466 3.514765e-01 -0.148172980 0.101395544
#> [30,] 1.977080e-01 0.42693303 -5.852677e-01 -0.124975483 0.816965710
#> [31,] -1.117720e-01 0.07013147 -3.461139e-01 -0.375669057 0.104892647
#> [32,] 1.083492e-01 1.81938739 -1.758164e+00 -0.040976049 2.002936534
#> [33,] -7.242369e-01 0.17067273 2.857700e-02 -0.167333413 -0.400703392
#> [34,] 8.831989e+00 -0.11098882 -1.525859e-01 -0.009221919 -0.053682647
#> [35,] 7.918569e+00 0.13954123 -8.972563e-02 -0.057785091 -0.057634156
#> [36,] 7.700951e+00 0.11150250 -3.201551e-01 -0.616809329 -0.083749446
#> [37,] -4.023935e+00 -0.20533003 2.441693e-01 0.404479811 -0.140363226
#> [38,] -1.862872e+00 0.08372756 5.490319e-01 0.218762516 0.230411057
#> [39,] -2.116895e+00 -0.33034206 -4.401115e-03 -0.022321741 0.011914633
#> [40,] 4.500550e-01 4.10649694 -4.254153e+00 -0.175213500 4.200933415
#> [41,] 1.616179e+01 -0.09238572 -6.759927e-02 0.050606051 0.284043170
#> [42,] -8.395717e+00 -0.10899133 1.438314e-01 -0.679062826 -0.281555945
#> [43,] 4.588599e+00 0.54313354 -2.317166e-01 0.036547138 -0.015784421
#> [44,] -1.798971e+00 -0.62442178 4.021873e-01 0.091289677 -0.221478675
#> [45,] -6.383389e+00 -0.06951266 5.994928e-02 -0.044191891 0.295253283
#> [46,] 5.296646e+00 -0.48330660 -9.802277e-04 0.206073240 -0.139429452
#> [47,] 2.735480e+00 -0.06395587 -5.560572e-02 -0.269776325 0.077921123
#> [48,] -2.231517e-02 -3.47261145 3.793465e+00 0.286245102 -3.844573948
#> [49,] 7.129943e+00 -0.40265586 -3.726336e-02 0.129268820 0.198017302
#> [50,] 2.447038e-01 -3.49185386 3.123209e+00 0.190515322 -3.240466717
#> [51,] 1.056041e-01 1.03677181 -8.197028e-01 -0.348217833 0.973577456
#> [52,] 9.776387e-04 -0.70369900 8.654146e-01 0.298302148 -1.150086568
#> [53,] 6.163780e+00 -0.02102951 3.693407e-02 0.061271770 0.297955307
#> [54,] -1.880887e-01 1.54089153 -1.805763e+00 0.345130389 2.092658595
#> [55,] 1.835428e-01 -0.34889000 3.146294e-01 0.120000200 -0.093962524
#> [56,] 1.354742e-01 1.28159032 -1.023453e+00 -0.024964439 0.883761887
#> [57,] -3.425720e-01 0.08848474 -4.607137e-03 0.532595122 0.408192006
#> [58,] -1.100113e+00 0.77953664 -1.096082e-01 0.237829485 0.001399112
#> [59,] 1.233651e-01 5.01186098 -4.716951e+00 0.131678789 4.867810257
#> [60,] 3.459542e-01 12.89993137 -1.285272e+01 -0.104964215 12.867198318
#> [61,] 3.285645e+00 -0.14607851 -2.203860e-01 -0.172938411 0.158944552
#> [62,] 1.843081e-01 -0.71593630 6.549856e-01 0.427370780 -0.958102546
#> [63,] 2.424060e-01 -4.47841173 4.166228e+00 0.086633448 -3.984023547
#> [64,] -4.334046e-01 2.64196439 -2.283192e+00 0.126881105 2.470316323
#> [65,] 6.635401e+00 0.34356537 -6.807833e-02 0.445830944 -0.160426328
#> [66,] -1.898071e-01 -3.11176451 3.284144e+00 0.295869297 -2.934797771
#> [67,] -1.513051e-01 3.67059608 -3.674818e+00 -0.380399815 4.195340768
#> [68,] 1.792383e-01 0.98188702 -1.279625e+00 -0.179353625 1.542823410
#> [69,] -4.975488e-01 -4.62512281 4.003473e+00 0.242526794 -4.169817189
#> [70,] 5.634969e-04 6.70055244 -6.372254e+00 0.237591327 6.802896715
#> [71,] 5.045345e+00 -0.24846419 3.064784e-01 0.204177886 -0.145256798
#> [72,] 1.141841e+01 -0.01741750 -3.327562e-01 -0.194920129 -0.259530147
#> [73,] 1.532431e-02 1.27652551 -1.113875e+00 0.371656035 1.381003696
#> [74,] -1.419196e-01 7.13936556 -7.103516e+00 0.183970319 7.348688447
#> [75,] -1.988100e-01 -3.44428251 3.184672e+00 0.180137613 -3.321358012
#> [76,] 1.004484e+00 -0.08148817 1.688334e-01 -0.148981418 -0.091156728
#> [77,] 8.905769e-02 12.09882685 -1.232710e+01 0.145920906 12.165971086
#> [78,] -5.772895e+00 -0.41973837 -5.007069e-02 0.033096895 -0.022628091
#> [79,] 1.167377e-01 -1.21790145 1.118173e+00 0.261080032 -1.305510259
#> [80,] 3.702843e-02 -4.54041900 4.703628e+00 0.289511584 -4.673507094
#> [81,] -1.950281e-01 4.94854065 -5.273650e+00 0.163985601 4.883555333
#> [82,] 5.202190e+00 0.02934679 1.042465e-01 -0.529378562 -0.438956214
#> [83,] -1.373359e-01 -7.90478512 7.846322e+00 -0.244003516 -7.998878075
#> [84,] 9.670874e-02 -0.12786837 -2.612377e-01 -0.111155411 0.049132680
#> [85,] 1.846461e+00 0.17200468 -2.311167e-01 -0.138701596 0.384104852
#> [86,] -1.194202e+01 0.26985525 -1.730881e-01 -0.213823804 0.163928739
#> [87,] 2.351420e-01 -1.88327345 1.963341e+00 -0.158417958 -2.284938342
#> [88,] 4.209267e+00 -0.04248124 -2.711146e-02 0.160713165 -0.205205924
#> [89,] -4.125520e-02 -4.47942799 3.956927e+00 0.024087298 -4.241819898
#> [90,] -8.457941e-02 -2.08774011 2.178954e+00 -0.190963911 -2.823511402
#> [91,] 1.290790e-01 -2.26059107 2.070972e+00 0.091494445 -2.173049386
#> [92,] 2.645878e-02 3.18866763 -2.562929e+00 -0.079928056 2.561491420
#> [93,] -7.473205e-02 7.92485755 -7.529865e+00 -0.091082319 7.463985023
#> [94,] -5.014366e-01 -1.42855447 1.080310e+00 0.051132752 -1.777545063
#> [95,] -1.525350e+01 0.11965937 1.403776e-01 0.131309968 0.012183062
#> [96,] -1.542511e+00 0.11235205 -5.033688e-02 0.256612209 0.083036155
#> [97,] 3.400176e-01 -0.82696295 1.091252e+00 0.383714546 -0.828505766
#> [98,] 6.903982e-03 -10.63722622 1.039739e+01 0.051232581 -10.602732673
#> [99,] -1.538225e-01 -7.19706732 7.734348e+00 0.136583282 -7.542251937
#> [100,] -5.550814e+00 -0.09582822 -2.543126e-01 -0.134945320 -0.263631678
#>
#> $a
#> $a[[1]]
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
#> [1,] 0 0 0.000000 0 0.000000 0 0.000000 0 0 0
#> [2,] 0 0 0.000000 0 0.000000 0 0.000000 0 0 0
#> [3,] 0 0 0.000000 0 0.000000 0 0.000000 0 0 0
#> [4,] 0 0 1.452467 0 -1.452467 0 -1.452467 0 0 0
#> [5,] 0 0 0.000000 0 0.000000 0 0.000000 0 0 0
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#> [7,] 0 0 0.000000 0 0.000000 0 0.000000 0 0 0
#> [8,] 0 0 0.000000 0 0.000000 0 0.000000 0 0 0
#> [9,] 0 0 -2.712854 0 2.712854 0 2.712854 0 0 0
#> [10,] 0 0 0.000000 0 0.000000 0 0.000000 0 0 0
#> [11,] 0 0 0.000000 0 0.000000 0 0.000000 0 0 0
#> [12,] 0 0 -2.722460 0 2.722460 0 2.722460 0 0 0
#> [13,] 0 0 0.000000 0 0.000000 0 0.000000 0 0 0
#> [14,] 0 0 0.000000 0 0.000000 0 0.000000 0 0 0
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#> [19,] 0 0 0.000000 0 0.000000 0 0.000000 0 0 0
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#> [21,] 0 0 2.701985 0 -2.701985 0 -2.701985 0 0 0
#> [22,] 0 0 0.000000 0 0.000000 0 0.000000 0 0 0
#> [23,] 0 0 -3.977216 0 3.977216 0 3.977216 0 0 0
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#> [30,] 0 0 0.000000 0 0.000000 0 0.000000 0 0 0
#> [,11] [,12] [,13] [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21]
#> [1,] 0.000000 0 0 0.000000 0 0 0 0 0 0 0
#> [2,] 0.000000 0 0 0.000000 0 0 0 0 0 0 0
#> [3,] 0.000000 0 0 0.000000 0 0 0 0 0 0 0
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#> [5,] 0.000000 0 0 0.000000 0 0 0 0 0 0 0
#> [6,] 0.000000 0 0 0.000000 0 0 0 0 0 0 0
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#> [8,] 0.000000 0 0 0.000000 0 0 0 0 0 0 0
#> [9,] 2.712854 0 0 2.712854 0 0 0 0 0 0 0
#> [10,] 0.000000 0 0 0.000000 0 0 0 0 0 0 0
#> [11,] 0.000000 0 0 0.000000 0 0 0 0 0 0 0
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#> [13,] 0.000000 0 0 0.000000 0 0 0 0 0 0 0
#> [14,] 0.000000 0 0 0.000000 0 0 0 0 0 0 0
#> [15,] 0.000000 0 0 0.000000 0 0 0 0 0 0 0
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#> [21,] -2.701985 0 0 -2.701985 0 0 0 0 0 0 0
#> [22,] 0.000000 0 0 0.000000 0 0 0 0 0 0 0
#> [23,] 3.977216 0 0 3.977216 0 0 0 0 0 0 0
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#> [30,] 0.000000 0 0 0.000000 0 0 0 0 0 0 0
#> [,22] [,23] [,24] [,25] [,26] [,27] [,28] [,29] [,30] [,31]
#> [1,] 0.000000 0 0 0 0 0 0 0.000000 0 0
#> [2,] 0.000000 0 0 0 0 0 0 0.000000 0 0
#> [3,] 0.000000 0 0 0 0 0 0 0.000000 0 0
#> [4,] -1.452467 0 0 0 0 0 0 -1.452467 0 0
#> [5,] 0.000000 0 0 0 0 0 0 0.000000 0 0
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#> [7,] 0.000000 0 0 0 0 0 0 0.000000 0 0
#> [8,] 0.000000 0 0 0 0 0 0 0.000000 0 0
#> [9,] 2.712854 0 0 0 0 0 0 2.712854 0 0
#> [10,] 0.000000 0 0 0 0 0 0 0.000000 0 0
#> [11,] 0.000000 0 0 0 0 0 0 0.000000 0 0
#> [12,] 2.722460 0 0 0 0 0 0 2.722460 0 0
#> [13,] 0.000000 0 0 0 0 0 0 0.000000 0 0
#> [14,] 0.000000 0 0 0 0 0 0 0.000000 0 0
#> [15,] 0.000000 0 0 0 0 0 0 0.000000 0 0
#> [16,] 0.000000 0 0 0 0 0 0 0.000000 0 0
#> [17,] 0.000000 0 0 0 0 0 0 0.000000 0 0
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#> [19,] 0.000000 0 0 0 0 0 0 0.000000 0 0
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#> [21,] -2.701985 0 0 0 0 0 0 -2.701985 0 0
#> [22,] 0.000000 0 0 0 0 0 0 0.000000 0 0
#> [23,] 3.977216 0 0 0 0 0 0 3.977216 0 0
#> [24,] 0.000000 0 0 0 0 0 0 0.000000 0 0
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#> [30,] 0.000000 0 0 0 0 0 0 0.000000 0 0
#> [,32] [,33] [,34] [,35]
#> [1,] 0.000000 0.000000 0 0.000000
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#> [4,] -1.452467 1.452467 0 -1.452467
#> [5,] 0.000000 0.000000 0 0.000000
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#> [7,] 0.000000 0.000000 0 0.000000
#> [8,] 0.000000 0.000000 0 0.000000
#> [9,] 2.712854 -2.712854 0 2.712854
#> [10,] 0.000000 0.000000 0 0.000000
#> [11,] 0.000000 0.000000 0 0.000000
#> [12,] 2.722460 -2.722460 0 2.722460
#> [13,] 0.000000 0.000000 0 0.000000
#> [14,] 0.000000 0.000000 0 0.000000
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#> [20,] 0.000000 0.000000 0 0.000000
#> [21,] -2.701985 2.701985 0 -2.701985
#> [22,] 0.000000 0.000000 0 0.000000
#> [23,] 3.977216 -3.977216 0 3.977216
#> [24,] 0.000000 0.000000 0 0.000000
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#> [27,] 0.000000 0.000000 0 0.000000
#> [28,] 0.000000 0.000000 0 0.000000
#> [29,] 0.000000 0.000000 0 0.000000
#> [30,] 0.000000 0.000000 0 0.000000
#>
#> $a[[2]]
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9]
#> [1,] 0 0 2.416572 -2.416572 0 -2.416572 -2.416572 -2.416572 0
#> [2,] 0 0 0.000000 0.000000 0 0.000000 0.000000 0.000000 0
#> [3,] 0 0 0.000000 0.000000 0 0.000000 0.000000 0.000000 0
#> [4,] 0 0 3.684965 -3.684965 0 -3.684965 -3.684965 -3.684965 0
#> [5,] 0 0 0.000000 0.000000 0 0.000000 0.000000 0.000000 0
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#> [9,] 0 0 0.000000 0.000000 0 0.000000 0.000000 0.000000 0
#> [10,] 0 0 -1.429275 1.429275 0 1.429275 1.429275 1.429275 0
#> [11,] 0 0 0.000000 0.000000 0 0.000000 0.000000 0.000000 0
#> [12,] 0 0 0.000000 0.000000 0 0.000000 0.000000 0.000000 0
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#> [14,] 0 0 3.446111 -3.446111 0 -3.446111 -3.446111 -3.446111 0
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#> [28,] 0 0 0.000000 0.000000 0 0.000000 0.000000 0.000000 0
#> [29,] 0 0 -2.581222 2.581222 0 2.581222 2.581222 2.581222 0
#> [30,] 0 0 0.000000 0.000000 0 0.000000 0.000000 0.000000 0
#> [,10] [,11] [,12] [,13] [,14] [,15] [,16] [,17] [,18] [,19]
#> [1,] 0 0 0 -2.416572 0 0 0 2.416572 -2.416572 0
#> [2,] 0 0 0 0.000000 0 0 0 0.000000 0.000000 0
#> [3,] 0 0 0 0.000000 0 0 0 0.000000 0.000000 0
#> [4,] 0 0 0 -3.684965 0 0 0 3.684965 -3.684965 0
#> [5,] 0 0 0 0.000000 0 0 0 0.000000 0.000000 0
#> [6,] 0 0 0 0.000000 0 0 0 0.000000 0.000000 0
#> [7,] 0 0 0 0.000000 0 0 0 0.000000 0.000000 0
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#> [9,] 0 0 0 0.000000 0 0 0 0.000000 0.000000 0
#> [10,] 0 0 0 1.429275 0 0 0 -1.429275 1.429275 0
#> [11,] 0 0 0 0.000000 0 0 0 0.000000 0.000000 0
#> [12,] 0 0 0 0.000000 0 0 0 0.000000 0.000000 0
#> [13,] 0 0 0 0.000000 0 0 0 0.000000 0.000000 0
#> [14,] 0 0 0 -3.446111 0 0 0 3.446111 -3.446111 0
#> [15,] 0 0 0 0.000000 0 0 0 0.000000 0.000000 0
#> [16,] 0 0 0 0.000000 0 0 0 0.000000 0.000000 0
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#> [20,] 0 0 0 0.000000 0 0 0 0.000000 0.000000 0
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#>
#> $true
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#> [75] 1 2 1 2 1 1 1 2 1 2 2 2 1 2 1 1 1 1 1 1 2 2 1 1 1 2
#>