Linear Matrix Operator

edm2psd Convert an Euclidean Distance Matrix to a Positive Semi-definite Matrix

edm2psd(D, V = NULL)

Arguments

D	A matrix in the set D_n^-.
V	A projection matrix satisfying V'1 = 0 and VV' = I

Value

S A symmetric, positive semi-definite matrix

Details

For a matrix D in \(D_{n}^{-}\), edm2psd will be in the space of positive semi-definite matrices. Therefore, if D also has zero diagonal, we have the following property:

D is a Euclidean Distance Matrix if and only if edm2psd is positive semi-definite.

This operator gives us another method to characterize the existence of a Euclidean distance matrix.

See also

psd2edm edm2gram

Examples

XY <- cbind(runif(100,0,1),runif(100,0,1))
D <- dist(XY)
edm2psd(as.matrix(D))
#>                [,1]          [,2]          [,3]         [,4]         [,5]
#>   [1,]  0.310298563 -0.0433456758  0.0858459945  0.083374973 -0.125930661
#>   [2,] -0.043345676  0.1314621282  0.0158158455 -0.039332847  0.025511042
#>   [3,]  0.085845995  0.0158158455  0.1770971228 -0.026953769 -0.088591846
#>   [4,]  0.083374973 -0.0393328471 -0.0269537691  0.286166040 -0.039460312
#>   [5,] -0.125930661  0.0255110423 -0.0885918463 -0.039460312  0.206935813
#>   [6,]  0.113372608 -0.0061182398  0.1513253922 -0.040050760 -0.111764010
#>   [7,]  0.132098058 -0.0172021217  0.0358714642  0.141416546 -0.068952916
#>   [8,]  0.130879310 -0.0051824629  0.1552914801 -0.016853686 -0.108454459
#>   [9,] -0.125709284  0.0167070800 -0.0358172763 -0.153264084  0.024778689
#>  [10,] -0.119077732  0.0210125511 -0.0291852186 -0.149503665  0.019286882
#>  [11,] -0.144123270 -0.0263694626 -0.1330591530 -0.006370200  0.145539637
#>  [12,] -0.038141247  0.0993764868  0.0365213301 -0.061332130  0.001179058
#>  [13,]  0.028031545  0.0059082073 -0.0153256427  0.135048625 -0.001390009
#>  [14,]  0.043042031 -0.0050901351  0.1032325484 -0.100730409 -0.103630125
#>  [15,] -0.091186888  0.0476009688 -0.0032641132 -0.122929226  0.010692268
#>  [16,]  0.049054138  0.0245352911  0.1387963743 -0.057676968 -0.081175981
#>  [17,] -0.114644037 -0.0481193623 -0.1375699299  0.060827237  0.099667159
#>  [18,]  0.045788203  0.0004198652  0.1118057056 -0.091980095 -0.100442791
#>  [19,]  0.097915764 -0.0058275619  0.1427083901 -0.055473991 -0.111732611
#>  [20,]  0.050367558 -0.0037152579  0.1106496983 -0.093396623 -0.104418450
#>  [21,] -0.057529549  0.0116896527  0.0303965535 -0.144581782 -0.047574893
#>  [22,] -0.119408213 -0.0266182065 -0.1228692432  0.027449871  0.119391950
#>  [23,] -0.075896920 -0.0505266341 -0.1218191988  0.113196132  0.067988680
#>  [24,] -0.078125482  0.0956282568 -0.0188839512 -0.054436521  0.068508134
#>  [25,] -0.025994587  0.0078534745 -0.0499585891  0.100938443  0.044796551
#>  [26,] -0.088037780  0.0513484489 -0.0006152286 -0.119094464  0.010716370
#>  [27,]  0.248456764 -0.0616817099  0.0377424972  0.162315925 -0.119098183
#>  [28,]  0.162342719 -0.0132219782  0.1411005154  0.003265813 -0.113248402
#>  [29,] -0.101584289  0.0664582678 -0.0248950941 -0.098780431  0.057799433
#>  [30,] -0.099692268  0.0575178878 -0.0169408705 -0.112189975  0.036619648
#>  [31,]  0.088884729 -0.0269129843  0.1011201537 -0.095758772 -0.126545713
#>  [32,]  0.027747161  0.0565308024  0.0987267500 -0.029336759 -0.047933512
#>  [33,]  0.194262433 -0.0570151859  0.0151731507  0.201051674 -0.097679721
#>  [34,] -0.083249319 -0.0459133978 -0.1213050004  0.099126762  0.074966334
#>  [35,]  0.279419175 -0.0527633747  0.0618289922  0.122709198 -0.123859237
#>  [36,]  0.103495413 -0.0370279066 -0.0120366389  0.249703612 -0.051663772
#>  [37,] -0.159199604  0.0144025772 -0.0835616473 -0.125789527  0.107854666
#>  [38,] -0.068895216  0.0432749333  0.0217062895 -0.121600551 -0.016754567
#>  [39,] -0.008808749  0.0110017718  0.0733213574 -0.119463262 -0.075694983
#>  [40,]  0.149256856 -0.0353569533  0.0188011864  0.187604449 -0.076115251
#>  [41,]  0.116509399 -0.0237344574  0.1216898330 -0.067827950 -0.128790737
#>  [42,]  0.222469929 -0.0326743441  0.1230028638  0.017073820 -0.131361161
#>  [43,] -0.154247636  0.0102165526 -0.0695285000 -0.147056052  0.072452494
#>  [44,] -0.033009802  0.0354141586  0.0579871099 -0.111576744 -0.047634011
#>  [45,]  0.037735746 -0.0074735525  0.0961541399 -0.107754151 -0.103524143
#>  [46,] -0.133025444 -0.0117688735 -0.1182068225 -0.007788919  0.154003412
#>  [47,] -0.099460646  0.0662711523 -0.0493349667 -0.048564128  0.120102854
#>  [48,]  0.127668215 -0.0122499855  0.0412825097  0.128540662 -0.067514842
#>  [49,] -0.099705997  0.0290714351 -0.0765875474 -0.004425226  0.143611768
#>  [50,]  0.158846051 -0.0498900754  0.0047671220  0.221171761 -0.081263755
#>  [51,]  0.193043533 -0.0301832480  0.1307718534 -0.007927076 -0.133157146
#>  [52,]  0.054637315  0.0118479278  0.1328828633 -0.070165298 -0.092882103
#>  [53,]  0.092223314 -0.0493722740 -0.0331925137  0.276082052 -0.044313896
#>  [54,]  0.248266452 -0.0679012544  0.0321826610  0.173163057 -0.121762562
#>  [55,]  0.071472029  0.0308062468  0.1270506206 -0.006938888 -0.069434433
#>  [56,]  0.172851040 -0.0237023120  0.0554290503  0.121190661 -0.087761182
#>  [57,] -0.054782503  0.0307159446  0.0362822452 -0.126557940 -0.037538180
#>  [58,] -0.063858562  0.1062556439 -0.0092409646 -0.040717754  0.055842157
#>  [59,] -0.132293221  0.0406448743 -0.0577107917 -0.110492806  0.094705186
#>  [60,]  0.078708576  0.0268422329  0.1311019617 -0.004487332 -0.072989390
#>  [61,] -0.130957967 -0.0375215891 -0.1360552008  0.025238182  0.121018999
#>  [62,] -0.015592167 -0.0014219573  0.0595957369 -0.136209847 -0.078886161
#>  [63,] -0.081108496 -0.0035414418 -0.0890543277  0.054563004  0.097358177
#>  [64,] -0.159246488  0.0154756464 -0.0878189288 -0.116333219  0.121639005
#>  [65,]  0.173000545 -0.0460511239  0.0178679158  0.195159309 -0.087424612
#>  [66,] -0.108012217  0.0285347179 -0.0181938909 -0.142258129  0.012049415
#>  [67,]  0.168439883 -0.0141086162  0.1372204742  0.009453929 -0.112905174
#>  [68,] -0.093967941 -0.0475822230 -0.1276248553  0.086864956  0.082587023
#>  [69,] -0.114578221  0.0191016453 -0.0239615815 -0.151689426  0.011176010
#>  [70,] -0.137335707 -0.0174624210 -0.1238889595 -0.007841643  0.150564350
#>  [71,] -0.108263370  0.0474031279 -0.0238257551 -0.121948024  0.037353215
#>  [72,] -0.164449567  0.0070955221 -0.0848214567 -0.137243959  0.097092126
#>  [73,]  0.199101341 -0.0549846251  0.0202324395  0.191966181 -0.099278283
#>  [74,] -0.067734820 -0.0005970965 -0.0800638331  0.067711411  0.084069175
#>  [75,] -0.047924254 -0.0354139904 -0.0958826213  0.134111212  0.052505312
#>  [76,]  0.025578362  0.0540703089  0.1040519790 -0.038652781 -0.051560040
#>  [77,]  0.148310363 -0.0169567906  0.1441471497 -0.025139184 -0.121529711
#>  [78,]  0.228612921 -0.0326505806  0.0737198090  0.100353559 -0.107267645
#>  [79,] -0.032759025  0.0029133446  0.0482248430 -0.141180235 -0.067706983
#>  [80,] -0.077519415  0.0200694913  0.0133931464 -0.144472298 -0.027006068
#>  [81,] -0.116136043 -0.0369141640 -0.1291176376  0.044568688  0.107690347
#>  [82,]  0.201590817 -0.0634120821  0.0112588002  0.207728490 -0.101276643
#>  [83,] -0.057444776  0.0390380149 -0.0475822639  0.033630480  0.080501370
#>  [84,] -0.063249752  0.1099027173 -0.0056057617 -0.045318546  0.050826932
#>  [85,]  0.015048717  0.0586059849  0.0967785918 -0.047459040 -0.047330849
#>  [86,]  0.017678500 -0.0411274175 -0.0665674826  0.217379456  0.004295398
#>  [87,]  0.246550403 -0.0359769201  0.1141992977  0.034324453 -0.131171496
#>  [88,]  0.071359022  0.0240357901  0.0513887630  0.070843551 -0.041880124
#>  [89,]  0.205158173 -0.0215253775  0.1136956520  0.042526145 -0.112815463
#>  [90,] -0.125529412  0.0214569737 -0.0916377589 -0.033713579  0.197918139
#>  [91,]  0.040115589  0.0490525986  0.1074310043 -0.021896662 -0.054075981
#>  [92,] -0.041259264  0.0301151480  0.0493964330 -0.120566436 -0.046746675
#>  [93,] -0.132313117  0.0307737506 -0.0489034686 -0.132577734  0.060904366
#>  [94,] -0.101292416 -0.0536192332 -0.1364396937  0.084598515  0.087064917
#>  [95,] -0.126540808  0.0145898119 -0.0363572328 -0.155422895  0.024030699
#>  [96,]  0.251912060 -0.0634904158  0.0379596675  0.162215670 -0.121240569
#>  [97,] -0.115690254  0.0276901086 -0.0267007952 -0.142760731  0.022108789
#>  [98,]  0.198067177 -0.0216130641  0.0856679916  0.079955484 -0.101031207
#>  [99,]  0.024639800  0.0564615060  0.1001125288 -0.035478474 -0.048869376
#>                [,6]          [,7]          [,8]          [,9]        [,10]
#>   [1,]  0.113372608  0.1320980582  0.1308793096 -0.1257092842 -0.119077732
#>   [2,] -0.006118240 -0.0172021217 -0.0051824629  0.0167070800  0.021012551
#>   [3,]  0.151325392  0.0358714642  0.1552914801 -0.0358172763 -0.029185219
#>   [4,] -0.040050760  0.1414165461 -0.0168536860 -0.1532640841 -0.149503665
#>   [5,] -0.111764010 -0.0689529161 -0.1084544594  0.0247786890  0.019286882
#>   [6,]  0.230947666  0.0261936012  0.1885833667 -0.0305573097 -0.024332751
#>   [7,]  0.026193601  0.2083686573  0.0496861038 -0.1279156058 -0.122375961
#>   [8,]  0.188583367  0.0496861038  0.2125062611 -0.0524711919 -0.045928922
#>   [9,] -0.030557310 -0.1279156058 -0.0524711919  0.3319365005  0.294515880
#>  [10,] -0.024332751 -0.1223759610 -0.0459289218  0.2945158800  0.301157362
#>  [11,] -0.158237890 -0.0733127697 -0.1501276224 -0.0266324090 -0.035153392
#>  [12,]  0.019428577 -0.0285402424  0.0147182274  0.0392906785  0.044873116
#>  [13,] -0.037285882  0.1027561596 -0.0181239279 -0.1065172546 -0.103145508
#>  [14,]  0.159010163 -0.0376245335  0.1181142842  0.0570050935  0.060598046
#>  [15,] -0.004610501 -0.0924714777 -0.0219816612  0.1697179195  0.175819633
#>  [16,]  0.143791643  0.0018981956  0.1271137537  0.0008692562  0.007392007
#>  [17,] -0.163216641 -0.0384188716 -0.1495084596 -0.0810540985 -0.087645745
#>  [18,]  0.163250845 -0.0292963016  0.1238707370  0.0423627633  0.047042663
#>  [19,]  0.213960857  0.0103371081  0.1718228919 -0.0125608721 -0.006694927
#>  [20,]  0.166801832 -0.0299633118  0.1260566486  0.0436311051  0.047916445
#>  [21,]  0.055675085 -0.0966061107  0.0239112077  0.1918435394  0.190932499
#>  [22,] -0.148622173 -0.0459605847 -0.1373665377 -0.0627645421 -0.067970099
#>  [23,] -0.146256730 -0.0006226680 -0.1292297156 -0.1127849515 -0.116455541
#>  [24,] -0.039371676 -0.0447374073 -0.0402355046  0.0438807453  0.045893698
#>  [25,] -0.074639496  0.0478360785 -0.0585376619 -0.0908313449 -0.089505766
#>  [26,] -0.003026970 -0.0885660816 -0.0196550343  0.1582633339  0.164281052
#>  [27,]  0.054925061  0.1576768728  0.0753075998 -0.1631619141 -0.156840957
#>  [28,]  0.171697452  0.0701989050  0.1919984084 -0.0708712469 -0.064273777
#>  [29,] -0.037085029 -0.0822040863 -0.0463864222  0.1246139223  0.126160085
#>  [30,] -0.024499548 -0.0893449876 -0.0375192366  0.1513107781  0.154766641
#>  [31,]  0.174640542 -0.0290001447  0.1335349830  0.0573042515  0.057747787
#>  [32,]  0.075263063  0.0203256803  0.0778010143 -0.0177876871 -0.011398668
#>  [33,]  0.020035067  0.1685125822  0.0431948805 -0.1671835947 -0.161461129
#>  [34,] -0.146186144 -0.0072051790 -0.1300258028 -0.1058189722 -0.109560969
#>  [35,]  0.083887213  0.1500170398  0.1029872913 -0.1456128942 -0.139077322
#>  [36,] -0.023148922  0.1590195490  0.0003429652 -0.1517759632 -0.147403873
#>  [37,] -0.093358054 -0.1290702911 -0.1048345434  0.2097084637  0.187727672
#>  [38,]  0.026127077 -0.0827443085  0.0053241906  0.1490085139  0.155562374
#>  [39,]  0.107163474 -0.0633932266  0.0726469345  0.1062616833  0.109714348
#>  [40,]  0.013417164  0.1879290773  0.0373222527 -0.1474991886 -0.142101623
#>  [41,]  0.199429370 -0.0008906975  0.1603319029  0.0060505642  0.010075765
#>  [42,]  0.174172105  0.0802426997  0.1790873732 -0.0847794482 -0.078327440
#>  [43,] -0.071704006 -0.1382534381 -0.0889647906  0.2764729139  0.244993755
#>  [44,]  0.070314503 -0.0632370328  0.0456012428  0.1055175922  0.111494621
#>  [45,]  0.152672272 -0.0447462828  0.1114269775  0.0713587506  0.073940532
#>  [46,] -0.143339245 -0.0645016108 -0.1354683158 -0.0264300826 -0.032879753
#>  [47,] -0.071113935 -0.0548048614 -0.0701461913  0.0402244866  0.039081476
#>  [48,]  0.030523118  0.1930897701  0.0538071548 -0.1223080158 -0.116712037
#>  [49,] -0.101594847 -0.0377904199 -0.0943068783 -0.0174535868 -0.019863738
#>  [50,]  0.002698244  0.1716814780  0.0265589952 -0.1629582549 -0.157694343
#>  [51,]  0.197195421  0.0572090354  0.1874989098 -0.0637812187 -0.057669085
#>  [52,]  0.167151692 -0.0082734625  0.1362454092  0.0124162824  0.018479441
#>  [53,] -0.044105854  0.1380319375 -0.0205150088 -0.1631514624 -0.159468633
#>  [54,]  0.052057574  0.1534147678  0.0714230961 -0.1698735466 -0.163545709
#>  [55,]  0.101888736  0.0512984953  0.1132161097 -0.0461363120 -0.039622640
#>  [56,]  0.053082423  0.1815030378  0.0770051528 -0.1282253577 -0.122178425
#>  [57,]  0.049590540 -0.0815780119  0.0239287041  0.1475757657  0.152891825
#>  [58,] -0.031323744 -0.0292566735 -0.0300641967  0.0233704432  0.026153624
#>  [59,] -0.069598650 -0.1053232133 -0.0792319468  0.1651845435  0.157751386
#>  [60,]  0.106850423  0.0550805478  0.1195580826 -0.0494728843 -0.042936517
#>  [61,] -0.161788159 -0.0565217872 -0.1507321203 -0.0579000935 -0.065111969
#>  [62,]  0.101975317 -0.0792062131  0.0638893364  0.1458839143  0.144579694
#>  [63,] -0.114772021 -0.0082965768 -0.1019376198 -0.0713764854 -0.073204644
#>  [64,] -0.100053464 -0.1242816544 -0.1094346600  0.1841476764  0.164809552
#>  [65,]  0.017405601  0.1791160544  0.0411985387 -0.1571470908 -0.151570263
#>  [66,] -0.014209624 -0.1126741593 -0.0351631520  0.2455598831  0.252193110
#>  [67,]  0.164431733  0.0763308976  0.1854346666 -0.0754581201 -0.068840553
#>  [68,] -0.152809236 -0.0177812376 -0.1373502842 -0.0993974326 -0.104022637
#>  [69,] -0.016691083 -0.1219876833 -0.0397125558  0.2942991560  0.291578946
#>  [70,] -0.149048131 -0.0679859704 -0.1410614547 -0.0278678745 -0.034938018
#>  [71,] -0.029109741 -0.0994929171 -0.0438628165  0.1814388694  0.184157156
#>  [72,] -0.091366900 -0.1384376764 -0.1054670706  0.2413990694  0.212738864
#>  [73,]  0.025546709  0.1705141566  0.0486658064 -0.1641756765 -0.158360311
#>  [74,] -0.105640667  0.0055345135 -0.0919075357 -0.0775469328 -0.078511185
#>  [75,] -0.119673854  0.0277650966 -0.1018502569 -0.1172042306 -0.118393654
#>  [76,]  0.083091471  0.0122182492  0.0823247312 -0.0096017265 -0.003096828
#>  [77,]  0.213806345  0.0418070917  0.1973477632 -0.0476806452 -0.041467475
#>  [78,]  0.083667499  0.1551121216  0.1064634766 -0.1275506356 -0.121113492
#>  [79,]  0.084300019 -0.0872823545  0.0482801358  0.1656254789  0.163884652
#>  [80,]  0.029308272 -0.1027674170  0.0018918108  0.2123962665  0.213872007
#>  [81,] -0.154872669 -0.0408596284 -0.1422893117 -0.0743579308 -0.079906581
#>  [82,]  0.018912407  0.1620723768  0.0415251984 -0.1736166160 -0.167872965
#>  [83,] -0.073340232  0.0063318924 -0.0624078950 -0.0478196217 -0.047137452
#>  [84,] -0.027070876 -0.0313876104 -0.0266969435  0.0284520397  0.031518894
#>  [85,]  0.078830840  0.0018976000  0.0750182066  0.0024039365  0.008925318
#>  [86,] -0.085679599  0.0859739115 -0.0642867290 -0.1442812347 -0.142842961
#>  [87,]  0.158223424  0.0948265862  0.1679192928 -0.0970419735 -0.090488538
#>  [88,]  0.030397165  0.1141342485  0.0495032155 -0.0864362283 -0.081006059
#>  [89,]  0.132946838  0.1077670908  0.1545902723 -0.0977515607 -0.091115228
#>  [90,] -0.115259816 -0.0666081081 -0.1111170660  0.0157655022  0.010328605
#>  [91,]  0.082539544  0.0301980030  0.0876021807 -0.0272589070 -0.020837417
#>  [92,]  0.064676331 -0.0727407536  0.0382165933  0.1260957756  0.131482646
#>  [93,] -0.053928673 -0.1178748022 -0.0690067786  0.2320921913  0.222348950
#>  [94,] -0.161699350 -0.0253277623 -0.1463737062 -0.0944667636 -0.100562344
#>  [95,] -0.030083258 -0.1298078197 -0.0526293996  0.3297725878  0.293387778
#>  [96,]  0.056774190  0.1555247575  0.0766139942 -0.1642718132 -0.157916405
#>  [97,] -0.024418914 -0.1163274709 -0.0443678243  0.2581848591  0.263017682
#>  [98,]  0.091081158  0.1439135299  0.1146999274 -0.1144990690 -0.108047268
#>  [99,]  0.078120884  0.0144596957  0.0785968728 -0.0119385504 -0.005489837
#>               [,11]         [,12]         [,13]        [,14]        [,15]
#>   [1,] -0.144123270 -0.0381412471  0.0280315449  0.043042031 -0.091186888
#>   [2,] -0.026369463  0.0993764868  0.0059082073 -0.005090135  0.047600969
#>   [3,] -0.133059153  0.0365213301 -0.0153256427  0.103232548 -0.003264113
#>   [4,] -0.006370200 -0.0613321302  0.1350486250 -0.100730409 -0.122929226
#>   [5,]  0.145539637  0.0011790583 -0.0013900090 -0.103630125  0.010692268
#>   [6,] -0.158237890  0.0194285774 -0.0372858816  0.159010163 -0.004610501
#>   [7,] -0.073312770 -0.0285402424  0.1027561596 -0.037624533 -0.092471478
#>   [8,] -0.150127622  0.0147182274 -0.0181239279  0.118114284 -0.021981661
#>   [9,] -0.026632409  0.0392906785 -0.1065172546  0.057005093  0.169717919
#>  [10,] -0.035153392  0.0448731163 -0.1031455076  0.060598046  0.175819633
#>  [11,]  0.309532234 -0.0545452811  0.0058082961 -0.161191302 -0.050244002
#>  [12,] -0.054545281  0.1387107820 -0.0190669684  0.031934704  0.074621627
#>  [13,]  0.005808296 -0.0190669684  0.1825837962 -0.083259409 -0.077924695
#>  [14,] -0.161191302  0.0319347044 -0.0832594092  0.298623663  0.058536893
#>  [15,] -0.050244002  0.0746216265 -0.0779246950  0.058536893  0.206003154
#>  [16,] -0.132231332  0.0540226732 -0.0374872917  0.134715597  0.030282572
#>  [17,]  0.249536349 -0.0794971398  0.0386611871 -0.183717994 -0.093774180
#>  [18,] -0.156758094  0.0364298001 -0.0743455523  0.254265263  0.052246893
#>  [19,] -0.161316645  0.0232054188 -0.0493083053  0.189163066  0.009346750
#>  [20,] -0.160859748  0.0323499112 -0.0772108828  0.272717684  0.050643732
#>  [21,] -0.108641329  0.0489425908 -0.1069710588  0.169391923  0.147581326
#>  [22,]  0.227857421 -0.0575238154  0.0338537928 -0.163006956 -0.071033839
#>  [23,]  0.192008450 -0.0826048339  0.0693778584 -0.179053471 -0.112341858
#>  [24,]  0.010844510  0.0775272100 -0.0069537846 -0.027415768  0.063324844
#>  [25,]  0.063280367 -0.0226305248  0.1275768661 -0.109093563 -0.070528796
#>  [26,] -0.050460724  0.0785491693 -0.0741985938  0.056775575  0.194351800
#>  [27,] -0.114695409 -0.0662262104  0.0601360588 -0.016676238 -0.126927109
#>  [28,] -0.150410679  0.0028163519 -0.0069392948  0.099778743 -0.039105958
#>  [29,] -0.003292032  0.0749910674 -0.0514918510  0.002626750  0.133578086
#>  [30,] -0.024189021  0.0755829816 -0.0655897623  0.026202879  0.166290295
#>  [31,] -0.183831519  0.0094210922 -0.0913025721  0.275707429  0.042040155
#>  [32,] -0.094383955  0.0727646949 -0.0003956557  0.054361367  0.018284961
#>  [33,] -0.083530889 -0.0677795883  0.0858113358 -0.051153819 -0.131372036
#>  [34,]  0.195415099 -0.0779955907  0.0661274191 -0.176212511 -0.106006646
#>  [35,] -0.131577284 -0.0525365183  0.0449957625  0.012851105 -0.109951352
#>  [36,] -0.028448994 -0.0563835054  0.1303191315 -0.085880171 -0.119455018
#>  [37,]  0.082993215  0.0162457231 -0.0802479558 -0.035362679  0.111242295
#>  [38,] -0.078150654  0.0779358292 -0.0798239179  0.095656869  0.169615155
#>  [39,] -0.136076007  0.0502694848 -0.0903042431  0.219281332  0.102035416
#>  [40,] -0.069112592 -0.0483032980  0.1056123700 -0.053529462 -0.112349610
#>  [41,] -0.180875116  0.0083575877 -0.0688014175  0.247089832  0.013595717
#>  [42,] -0.165279268 -0.0166046445 -0.0107827146  0.111320177 -0.055267909
#>  [43,]  0.040406256  0.0215945314 -0.0998146531  0.004995510  0.138721715
#>  [44,] -0.108069389  0.0746166691 -0.0759090371  0.141993796  0.122318882
#>  [45,] -0.162093091  0.0303037003 -0.0894993461  0.291499076  0.065682088
#>  [46,]  0.231390755 -0.0404114820  0.0131656807 -0.147176500 -0.041653403
#>  [47,]  0.061064295  0.0443053092 -0.0023431682 -0.060302247  0.044627528
#>  [48,] -0.075004594 -0.0228974086  0.0995257262 -0.032380800 -0.086751381
#>  [49,]  0.121894611 -0.0007723686  0.0327569897 -0.107278775 -0.015636327
#>  [50,] -0.063527067 -0.0640154040  0.1027098560 -0.066174282 -0.128101694
#>  [51,] -0.172730072 -0.0092280840 -0.0278777546  0.147248977 -0.038330009
#>  [52,] -0.145801259  0.0442105425 -0.0527423265  0.179878114  0.035541912
#>  [53,] -0.002564863 -0.0713882226  0.1256033393 -0.107047740 -0.133001363
#>  [54,] -0.112216104 -0.0728876382  0.0597888336 -0.018883492 -0.133643271
#>  [55,] -0.110084355  0.0428765926  0.0100061743  0.058147951 -0.010494083
#>  [56,] -0.097518171 -0.0296584772  0.0771046222 -0.015087829 -0.092001586
#>  [57,] -0.098907085  0.0682451326 -0.0879000436  0.134231182  0.150123221
#>  [58,]  0.002362102  0.0796197884  0.0065508594 -0.027137961  0.047329370
#>  [59,]  0.042473307  0.0429846531 -0.0633036671 -0.022738715  0.122790561
#>  [60,] -0.112986904  0.0388755159  0.0102437314  0.059935705 -0.013963796
#>  [61,]  0.273015599 -0.0677977193  0.0232024276 -0.174069799 -0.074483300
#>  [62,] -0.140212959  0.0378547802 -0.1069204034  0.236510942  0.111492736
#>  [63,]  0.141124059 -0.0355709809  0.0712944468 -0.136567387 -0.064930804
#>  [64,]  0.099836976  0.0136046270 -0.0718274194 -0.048795136  0.098670922
#>  [65,] -0.077485401 -0.0577482302  0.0952221698 -0.052053191 -0.121607641
#>  [66,] -0.045811234  0.0543928872 -0.0965950926  0.065915983  0.185772685
#>  [67,] -0.148708686  0.0006447878 -0.0026107134  0.092535283 -0.043133120
#>  [68,]  0.213506255 -0.0795738028  0.0568061266 -0.180027630 -0.103418450
#>  [69,] -0.043974953  0.0449461137 -0.1058506774  0.072760548  0.176310981
#>  [70,]  0.253020250 -0.0459875552  0.0102735994 -0.152733913 -0.045601516
#>  [71,] -0.022074427  0.0659167833 -0.0751576788  0.029140174  0.176449697
#>  [72,]  0.079005887  0.0122566572 -0.0914592649 -0.023437821  0.118135163
#>  [73,] -0.088301764 -0.0648564310  0.0834175443 -0.045700132 -0.128218143
#>  [74,]  0.120821487 -0.0326661528  0.0852363052 -0.130837582 -0.067208868
#>  [75,]  0.136494106 -0.0670042790  0.0978177335 -0.156860920 -0.106593807
#>  [76,] -0.099929396  0.0753189609 -0.0099936444  0.067219229  0.026020311
#>  [77,] -0.164746045  0.0060260769 -0.0318903827  0.151491115 -0.021522642
#>  [78,] -0.121833755 -0.0328367765  0.0512387109  0.012106622 -0.091525034
#>  [79,] -0.129092901  0.0417605532 -0.1084211608  0.212548149  0.125453891
#>  [80,] -0.087458436  0.0545590982 -0.1032185360  0.128386540  0.167738982
#>  [81,]  0.238602510 -0.0681901834  0.0384133079 -0.172824383 -0.083404497
#>  [82,] -0.082470187 -0.0742222985  0.0826631776 -0.052801457 -0.137767423
#>  [83,]  0.067632955  0.0069745115  0.0754592079 -0.092586947 -0.031227757
#>  [84,] -0.003688064  0.0858617721  0.0017287674 -0.020898736  0.053581313
#>  [85,] -0.097806724  0.0839759096 -0.0166607916  0.071663920  0.037895044
#>  [86,]  0.067168695 -0.0693925950  0.1278424969 -0.137027376 -0.122545540
#>  [87,] -0.161137437 -0.0228094725 -0.0006728212  0.092667699 -0.065904648
#>  [88,] -0.062927157  0.0127889787  0.0880376854 -0.019681196 -0.051275848
#>  [89,] -0.141153484 -0.0127128409  0.0178234661  0.061041593 -0.063508298
#>  [90,]  0.154329867 -0.0039665021  0.0027397040 -0.109497073  0.002507695
#>  [91,] -0.098613497  0.0632661953  0.0039684085  0.054496100  0.008736073
#>  [92,] -0.107797585  0.0688766135 -0.0840805197  0.147733562  0.133697721
#>  [93,]  0.009630831  0.0436666714 -0.0850512071  0.010570585  0.155519342
#>  [94,]  0.234761533 -0.0854265553  0.0481787398 -0.187465127 -0.104423537
#>  [95,] -0.026404534  0.0374277655 -0.1086811654  0.060084414  0.168115778
#>  [96,] -0.116399431 -0.0676748848  0.0581759943 -0.014535873 -0.128074045
#>  [97,] -0.034176073  0.0508876838 -0.0963809186  0.053645746  0.180992720
#>  [98,] -0.120754004 -0.0204000983  0.0471659615  0.020633465 -0.078523757
#>  [99,] -0.096651609  0.0758136542 -0.0062325809  0.060963068  0.023948040
#>                [,16]        [,17]         [,18]         [,19]        [,20]
#>   [1,]  0.0490541379 -0.114644037  0.0457882026  0.0979157636  0.050367558
#>   [2,]  0.0245352911 -0.048119362  0.0004198652 -0.0058275619 -0.003715258
#>   [3,]  0.1387963743 -0.137569930  0.1118057056  0.1427083901  0.110649698
#>   [4,] -0.0576769678  0.060827237 -0.0919800949 -0.0554739911 -0.093396623
#>   [5,] -0.0811759806  0.099667159 -0.1004427910 -0.1117326111 -0.104418450
#>   [6,]  0.1437916430 -0.163216641  0.1632508445  0.2139608570  0.166801832
#>   [7,]  0.0018981956 -0.038418872 -0.0292963016  0.0103371081 -0.029963312
#>   [8,]  0.1271137537 -0.149508460  0.1238707370  0.1718228919  0.126056649
#>   [9,]  0.0008692562 -0.081054099  0.0423627633 -0.0125608721  0.043631105
#>  [10,]  0.0073920067 -0.087645745  0.0470426629 -0.0066949272  0.047916445
#>  [11,] -0.1322313315  0.249536349 -0.1567580944 -0.1613166449 -0.160859748
#>  [12,]  0.0540226732 -0.079497140  0.0364298001  0.0232054188  0.032349911
#>  [13,] -0.0374872917  0.038661187 -0.0743455523 -0.0493083053 -0.077210883
#>  [14,]  0.1347155967 -0.183717994  0.2542652627  0.1891630658  0.272717684
#>  [15,]  0.0302825718 -0.093774180  0.0522468934  0.0093467499  0.050643732
#>  [16,]  0.1804889670 -0.145655362  0.1436224787  0.1496139088  0.140569186
#>  [17,] -0.1456553620  0.402031691 -0.1770988013 -0.1704044155 -0.181172460
#>  [18,]  0.1436224787 -0.177098801  0.2632524787  0.1921134768  0.259116229
#>  [19,]  0.1496139088 -0.170404416  0.1921134768  0.2445092137  0.196792662
#>  [20,]  0.1405691863 -0.181172460  0.2591162292  0.1967926619  0.280685595
#>  [21,]  0.0720542605 -0.150667212  0.1465343484  0.0801023529  0.151574838
#>  [22,] -0.1274511939  0.239103735 -0.1569372558 -0.1541423577 -0.161058638
#>  [23,] -0.1361845351  0.323611167 -0.1711464739 -0.1560892657 -0.174917024
#>  [24,] -0.0063610358 -0.020789662 -0.0238967259 -0.0372254438 -0.027893906
#>  [25,] -0.0650051124  0.091867058 -0.1007862641 -0.0841887025 -0.104370303
#>  [26,]  0.0322658655 -0.092903352  0.0514266226  0.0103161083  0.049533337
#>  [27,] -0.0005208828 -0.061423802 -0.0126309101  0.0386466264 -0.009060598
#>  [28,]  0.1080580909 -0.144015788  0.1046258622  0.1548487291  0.107607640
#>  [29,] -0.0004438662 -0.046903537  0.0011236656 -0.0287328145 -0.001899780
#>  [30,]  0.0119653832 -0.068506619  0.0225222667 -0.0135450325  0.020096600
#>  [31,]  0.1214147663 -0.203811447  0.2359165856  0.2021440084  0.257485766
#>  [32,]  0.0980284512 -0.104502952  0.0627827756  0.0722718592  0.059208132
#>  [33,] -0.0223817583 -0.024025931 -0.0447576017  0.0030528729 -0.043194690
#>  [34,] -0.1341810465  0.312446685 -0.1685304040 -0.1553613599 -0.172385008
#>  [35,]  0.0239925471 -0.090852003  0.0161904044  0.0679962018  0.020312331
#>  [36,] -0.0442409993  0.031165482 -0.0773178348 -0.0389369796 -0.078360103
#>  [37,] -0.0567691166  0.023226500 -0.0425094277 -0.0824274010 -0.044000395
#>  [38,]  0.0586366846 -0.117427726  0.0886383981  0.0421839899  0.087354335
#>  [39,]  0.1141304626 -0.167154990  0.2001417569  0.1329273785  0.204265675
#>  [40,] -0.0164673583 -0.021469688 -0.0456268631 -0.0030906587 -0.045696163
#>  [41,]  0.1318449987 -0.191830688  0.2245399832  0.2230244328  0.242621052
#>  [42,]  0.0945573037 -0.152783444  0.1108963252  0.1626840847  0.117723655
#>  [43,] -0.0369897022 -0.019072877 -0.0071061727 -0.0566419111 -0.006883565
#>  [44,]  0.0982608639 -0.140393758  0.1365883332  0.0884739533  0.134967926
#>  [45,]  0.1283564755 -0.186786393  0.2474494969  0.1830383527  0.265725273
#>  [46,] -0.1173751340  0.191550162 -0.1424567303 -0.1463940589 -0.146573262
#>  [47,] -0.0390479250  0.024339995 -0.0570587585 -0.0698396256 -0.061031372
#>  [48,]  0.0076667773 -0.043432681 -0.0239663522  0.0148842912 -0.024771142
#>  [49,] -0.0756987843  0.097626188 -0.1019685111 -0.1045739775 -0.106103038
#>  [50,] -0.0312723190 -0.003492738 -0.0586900580 -0.0141220410 -0.058252572
#>  [51,]  0.1110122613 -0.166665877  0.1436715630  0.1920329991  0.152517999
#>  [52,]  0.1645189827 -0.161081260  0.1888465475  0.1846872418  0.186404244
#>  [53,] -0.0650732486  0.075409563 -0.0984602358 -0.0599986563 -0.099542280
#>  [54,] -0.0059939554 -0.052163987 -0.0156391647  0.0361959770 -0.011466591
#>  [55,]  0.1025430169 -0.111886481  0.0671180429  0.0927191903  0.064883072
#>  [56,]  0.0186733045 -0.065116552 -0.0075833604  0.0364264571 -0.007175744
#>  [57,]  0.0764718543 -0.136765290  0.1234320183  0.0691057422  0.123567009
#>  [58,] -0.0003025767 -0.023449628 -0.0223857065 -0.0308314407 -0.026494101
#>  [59,] -0.0329081349 -0.010902575 -0.0265593106 -0.0604575176 -0.029007148
#>  [60,]  0.1032376089 -0.113743741  0.0688510997  0.0967789358  0.066890059
#>  [61,] -0.1398824589  0.308313536 -0.1683912805 -0.1670283039 -0.172525468
#>  [62,]  0.0992137878 -0.176219164  0.2017857638  0.1306678702  0.213022611
#>  [63,] -0.0971256367  0.158192382 -0.1294810336 -0.1216791153 -0.133492259
#>  [64,] -0.0633593470  0.040022534 -0.0543315082 -0.0906241312 -0.056323393
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#>                [,26]         [,27]        [,28]         [,29]        [,30]
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#>  [42,] -0.0530102528  1.608647e-01  0.203846262 -0.0788720028 -0.070810059
#>  [43,]  0.1289376756 -1.820634e-01 -0.105520588  0.1243009011  0.137825405
#>  [44,]  0.1211985820 -7.999478e-02  0.025991771  0.0660994417  0.090862241
#>  [45,]  0.0631556162 -2.247322e-02  0.093427752  0.0063157213  0.031526366
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#>  [81,]  0.0184531739  0.022334133 -0.106402442 -0.1557544778 -0.0291986857
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#>  [99,] -0.0251610179 -0.046451956  0.040974634  0.0561512234 -0.0058844377
#>                [,41]         [,42]        [,43]        [,44]        [,45]
#>   [1,]  0.1165093985  0.2224699287 -0.154247636 -0.033009802  0.037735746
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#>   [8,]  0.1603319029  0.1790873732 -0.088964791  0.045601243  0.111426978
#>   [9,]  0.0060505642 -0.0847794482  0.276472914  0.105517592  0.071358751
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#>  [32,]  0.0515113961  0.0488763628 -0.042486773  0.055656793  0.048850618
#>  [33,]  0.0068203614  0.1097860542 -0.177894398 -0.095840251 -0.057884080
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#>  [41,]  0.3663759827  0.1914366094 -0.044923399  0.097897275  0.254495742
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#>  [44,]  0.0978972753  0.0149576126  0.060544155  0.206683991  0.146856171
#>  [45,]  0.2544957423  0.1073235409  0.017823927  0.146856171  0.326368105
#>  [46,] -0.1660176126 -0.1515271353  0.030245183 -0.095636738 -0.148404307
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#>  [57,]  0.0855030242 -0.0062752304  0.099154709  0.184892877  0.143709349
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#>  [62,]  0.1934503898  0.0501291477  0.090420515  0.169783562  0.264377916
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#>  [68,] -0.1828495307 -0.1363676855 -0.046208361 -0.142587284 -0.183971786
#>  [69,]  0.0217496628 -0.0715365657  0.239635980  0.119654637  0.087118489
#>  [70,] -0.1717638365 -0.1567712228  0.031992731 -0.100748843 -0.153877123
#>  [71,] -0.0150510223 -0.0772715001  0.166640771  0.093319142  0.036128929
#>  [72,] -0.0718821154 -0.1387546889  0.364090029  0.036101501 -0.012225017
#>  [73,]  0.0123428301  0.1151111660 -0.176101834 -0.091442253 -0.052412649
#>  [74,] -0.1347463098 -0.0976958307 -0.045833219 -0.096585714 -0.134934008
#>  [75,] -0.1509671585 -0.0947377904 -0.081456480 -0.130985656 -0.162034916
#>  [76,]  0.0618739004  0.0513963687 -0.036774446  0.067858033  0.061866391
#>  [77,]  0.2141524123  0.2154263001 -0.088692332  0.053257102  0.146517626
#>  [78,]  0.0689651008  0.1665451315 -0.149876719 -0.043239714  0.005517167
#>  [79,]  0.1652777493  0.0299791498  0.110174192  0.173233808  0.237136826
#>  [80,]  0.0769869341 -0.0271850663  0.157962427  0.162089132  0.143611363
#>  [81,] -0.1826004449 -0.1488764312 -0.018515141 -0.128985797 -0.175720519
#>  [82,]  0.0096251314  0.1145718424 -0.184195614 -0.101227035 -0.059332213
#>  [83,] -0.1003996929 -0.0753476422 -0.027386573 -0.056978150 -0.096307866
#>  [84,] -0.0429450599 -0.0541707224  0.029308867  0.026357560 -0.022336609
#>  [85,]  0.0613182609  0.0430502891 -0.025500864  0.079024163  0.066920275
#>  [86,] -0.1164351539 -0.0421506726 -0.122444161 -0.129274661 -0.143477874
#>  [87,]  0.1719219990  0.2777739730 -0.132418628  0.001403181  0.088354242
#>  [88,] -0.0011022028  0.0505006960 -0.097205670 -0.027943283 -0.026381638
#>  [89,]  0.1179361615  0.2043792570 -0.127471456 -0.005368005  0.054676740
#>  [90,] -0.1334310789 -0.1329855460  0.063990887 -0.054462915 -0.109691092
#>  [91,]  0.0563769507  0.0600287718 -0.052227288  0.048734956  0.048517333
#>  [92,]  0.1000493619  0.0085796045  0.078184450  0.197150327  0.155642576
#>  [93,] -0.0361523493 -0.1024136809  0.246493507  0.072546573  0.019758318
#>  [94,] -0.1915757664 -0.1451280037 -0.033761789 -0.147646751 -0.191132165
#>  [95,]  0.0088657393 -0.0846973481  0.286688037  0.106211672  0.075202455
#>  [96,]  0.0591979693  0.1649878603 -0.183715143 -0.080166675 -0.020146370
#>  [97,]  0.0043357188 -0.0772437733  0.220266908  0.109761866  0.065116919
#>  [98,]  0.0709594914  0.1592334752 -0.137513507 -0.030418194  0.013801819
#>  [99,]  0.0560697395  0.0484075421 -0.037894894  0.063155407  0.055620658
#>               [,46]        [,47]        [,48]         [,49]         [,50]
#>   [1,] -0.133025444 -0.099460646  0.127668215 -0.0997059974  0.1588460512
#>   [2,] -0.011768874  0.066271152 -0.012249985  0.0290714351 -0.0498900754
#>   [3,] -0.118206823 -0.049334967  0.041282510 -0.0765875474  0.0047671220
#>   [4,] -0.007788919 -0.048564128  0.128540662 -0.0044252263  0.2211717615
#>   [5,]  0.154003412  0.120102854 -0.067514842  0.1436117682 -0.0812637554
#>   [6,] -0.143339245 -0.071113935  0.030523118 -0.1015948471  0.0026982444
#>   [7,] -0.064501611 -0.054804861  0.193089770 -0.0377904199  0.1716814780
#>   [8,] -0.135468316 -0.070146191  0.053807155 -0.0943068783  0.0265589952
#>   [9,] -0.026430083  0.040224487 -0.122308016 -0.0174535868 -0.1629582549
#>  [10,] -0.032879753  0.039081476 -0.116712037 -0.0198637376 -0.1576943431
#>  [11,]  0.231390755  0.061064295 -0.075004594  0.1218946110 -0.0635270667
#>  [12,] -0.040411482  0.044305309 -0.022897409 -0.0007723686 -0.0640154040
#>  [13,]  0.013165681 -0.002343168  0.099525726  0.0327569897  0.1027098560
#>  [14,] -0.147176500 -0.060302247 -0.032380800 -0.1072787747 -0.0661742824
#>  [15,] -0.041653403  0.044627528 -0.086751381 -0.0156363268 -0.1281016940
#>  [16,] -0.117375134 -0.039047925  0.007666777 -0.0756987843 -0.0312723190
#>  [17,]  0.191550162  0.024339995 -0.043432681  0.0976261877 -0.0034927377
#>  [18,] -0.142456730 -0.057058759 -0.023966352 -0.1019685111 -0.0586900580
#>  [19,] -0.146394059 -0.069839626  0.014884291 -0.1045739775 -0.0141220410
#>  [20,] -0.146573262 -0.061031372 -0.024771142 -0.1061030381 -0.0582525717
#>  [21,] -0.099630012 -0.011521091 -0.090493283 -0.0707264429 -0.1327903508
#>  [22,]  0.205882629  0.047418877 -0.048635226  0.1207237378 -0.0309478777
#>  [23,]  0.152103814  0.005589292 -0.007569152  0.0811549909  0.0482170946
#>  [24,]  0.024129967  0.111819663 -0.040463645  0.0602347428 -0.0738967496
#>  [25,]  0.069432175  0.027679502  0.045119638  0.0797977202  0.0539848611
#>  [26,] -0.041327626  0.045920091 -0.082852943 -0.0141154203 -0.1241759160
#>  [27,] -0.109045129 -0.105016045  0.145817826 -0.0869960729  0.2532689503
#>  [28,] -0.136172518 -0.077144830  0.073331399 -0.0959958907  0.0522578639
#>  [29,]  0.005494530  0.090244236 -0.077243409  0.0297693794 -0.1143702876
#>  [30,] -0.015891682  0.068826352 -0.083998488  0.0083401070 -0.1233336747
#>  [31,] -0.169653593 -0.083211828 -0.025097614 -0.1292977089 -0.0465434347
#>  [32,] -0.079456693 -0.008556316  0.026436245 -0.0376374691 -0.0162618917
#>  [33,] -0.080274809 -0.090723689  0.154094225 -0.0639271141  0.2914809237
#>  [34,]  0.158455366  0.012168773 -0.013345108  0.0877889255  0.0343746578
#>  [35,] -0.122811591 -0.103118636  0.141555185 -0.0944070512  0.2078283007
#>  [36,] -0.026929316 -0.054381621  0.145330051 -0.0168315652  0.2343219622
#>  [37,]  0.070463078  0.085485456 -0.125072929  0.0493151606 -0.1552833729
#>  [38,] -0.067783580  0.021548665 -0.076748232 -0.0369742936 -0.1193281076
#>  [39,] -0.123495586 -0.033660278 -0.057466022 -0.0868310742 -0.0974507459
#>  [40,] -0.063322342 -0.067677478  0.172689256 -0.0429874704  0.2374029308
#>  [41,] -0.166017613 -0.085975359  0.002659468 -0.1243207079 -0.0170687566
#>  [42,] -0.151527135 -0.096238022  0.080681046 -0.1123584907  0.0806746480
#>  [43,]  0.030245183  0.063839509 -0.133437401  0.0178932893 -0.1690765290
#>  [44,] -0.095636738 -0.005679948 -0.057120787 -0.0596536024 -0.0995775032
#>  [45,] -0.148404307 -0.060404280 -0.039495498 -0.1091776756 -0.0732077362
#>  [46,]  0.246319814  0.073320244 -0.065456712  0.1368234387 -0.0610020349
#>  [47,]  0.073320244  0.163490393 -0.051643756  0.1030022357 -0.0778557702
#>  [48,] -0.065456712 -0.051643756  0.199206527 -0.0370767953  0.1564432867
#>  [49,]  0.136823439  0.103002236 -0.037076795  0.1786522354 -0.0469983324
#>  [50,] -0.061002035 -0.077855770  0.156443287 -0.0469983324  0.3121602535
#>  [51,] -0.158330411 -0.095148991  0.058715984 -0.1177094341  0.0524928161
#>  [52,] -0.131053320 -0.050067815 -0.002789051 -0.0896101651 -0.0391860139
#>  [53,] -0.007271546 -0.056717970  0.124171835 -0.0094384530  0.2425329671
#>  [54,] -0.108174890 -0.109748083  0.140942016 -0.0889342859  0.2624981456
#>  [55,] -0.095407312 -0.032827896  0.057255033 -0.0542614398  0.0163646282
#>  [56,] -0.087741430 -0.068854682  0.176613591 -0.0582411763  0.1712702685
#>  [57,] -0.088120825  0.001675659 -0.075471116 -0.0559016653 -0.1181789965
#>  [58,]  0.016640514  0.096644063 -0.024976141  0.0562362335 -0.0586889278
#>  [59,]  0.043763425  0.099793882 -0.100947061  0.0484116852 -0.1341510751
#>  [60,] -0.098364356 -0.036646927  0.060945722 -0.0573544132  0.0207470417
#>  [61,]  0.213316260  0.041838335 -0.059739053  0.1115930165 -0.0358813600
#>  [62,] -0.129062478 -0.038983411 -0.073354505 -0.0952068129 -0.1124373415
#>  [63,]  0.144505950  0.051072478 -0.010607962  0.1242765538  0.0009099235
#>  [64,]  0.086538553  0.092866376 -0.120636215  0.0616899684 -0.1484663485
#>  [65,] -0.072746619 -0.079418797  0.164346572 -0.0540403608  0.2752906038
#>  [66,] -0.040826497  0.037871850 -0.106937294 -0.0222847826 -0.1483318685
#>  [67,] -0.134619910 -0.077540685  0.079260659 -0.0947941610  0.0591935988
#>  [68,]  0.169848259  0.015360865 -0.023608014  0.0908652450  0.0221708785
#>  [69,] -0.041204122  0.032694482 -0.116219635 -0.0267436947 -0.1577549047
#>  [70,]  0.240571213  0.068352496 -0.069192180  0.1310820302 -0.0624236778
#>  [71,] -0.015567020  0.064867584 -0.094128673  0.0046791882 -0.1335156238
#>  [72,]  0.062697728  0.074367524 -0.134222063  0.0378987789 -0.1657443133
#>  [73,] -0.084119763 -0.090585736  0.156447836 -0.0659116711  0.2828268082
#>  [74,]  0.124725663  0.045709337  0.003033868  0.1149148656  0.0148654939
#>  [75,]  0.118654697  0.005943814  0.021066473  0.0776937604  0.0697582692
#>  [76,] -0.085010238 -0.011048113  0.018334950 -0.0431987467 -0.0242069960
#>  [77,] -0.150011932 -0.082144900  0.045074400 -0.1086552718  0.0250728390
#>  [78,] -0.111259819 -0.084136272  0.150899122 -0.0794916634  0.1651698486
#>  [79,] -0.118817793 -0.029253514 -0.081284638 -0.0869082359 -0.1219299775
#>  [80,] -0.079601589  0.006458155 -0.096689234 -0.0536510691 -0.1394519044
#>  [81,]  0.197244497  0.035118891 -0.044636326  0.1089329374 -0.0171004540
#>  [82,] -0.080794660 -0.096076090  0.147628067 -0.0671272734  0.2919322679
#>  [83,]  0.080889421  0.072002184  0.006884520  0.1134274372 -0.0043451885
#>  [84,]  0.010453453  0.092687420 -0.026910486  0.0496605109 -0.0617363695
#>  [85,] -0.082957928 -0.005835754  0.008011849 -0.0413126359 -0.0346398838
#>  [86,]  0.055960023 -0.024635945  0.075827051  0.0365006732  0.1532253187
#>  [87,] -0.147955982 -0.098104133  0.094153670 -0.1100473229  0.1014105402
#>  [88,] -0.050452423 -0.019653980  0.119398323 -0.0153810767  0.0789259809
#>  [89,] -0.128083428 -0.081563566  0.108914743 -0.0906130685  0.0981779933
#>  [90,]  0.163864402  0.114203076 -0.065482577  0.1486119902 -0.0770372161
#>  [91,] -0.083723379 -0.015647622  0.036313606 -0.0420153483 -0.0061773495
#>  [92,] -0.096095691 -0.005927371 -0.066624188 -0.0617299357 -0.1091009988
#>  [93,]  0.010013145  0.071493222 -0.112848963  0.0163652617 -0.1500779644
#>  [94,]  0.178266688  0.014275112 -0.031525934  0.0888291771  0.0196044901
#>  [95,] -0.026850790  0.038491039 -0.124180328 -0.0189061139 -0.1649338760
#>  [96,] -0.110928050 -0.107125857  0.143695464 -0.0891051271  0.2531909458
#>  [97,] -0.030495757  0.044414758 -0.110713642 -0.0150534795 -0.1514408895
#>  [98,] -0.109075655 -0.075374343  0.143614155 -0.0749510584  0.1340921454
#>  [99,] -0.081725966 -0.008725436  0.020574041 -0.0399014818 -0.0220802365
#>               [,51]         [,52]        [,53]         [,54]        [,55]
#>   [1,]  0.193043533  5.463732e-02  0.092223314  0.2482664522  0.071472029
#>   [2,] -0.030183248  1.184793e-02 -0.049372274 -0.0679012544  0.030806247
#>   [3,]  0.130771853  1.328829e-01 -0.033192514  0.0321826610  0.127050621
#>   [4,] -0.007927076 -7.016530e-02  0.276082052  0.1731630568 -0.006938888
#>   [5,] -0.133157146 -9.288210e-02 -0.044313896 -0.1217625625 -0.069434433
#>   [6,]  0.197195421  1.671517e-01 -0.044105854  0.0520575739  0.101888736
#>   [7,]  0.057209035 -8.273463e-03  0.138031937  0.1534147678  0.051298495
#>   [8,]  0.187498910  1.362454e-01 -0.020515009  0.0714230961  0.113216110
#>   [9,] -0.063781219  1.241628e-02 -0.163151462 -0.1698735466 -0.046136312
#>  [10,] -0.057669085  1.847944e-02 -0.159468633 -0.1635457087 -0.039622640
#>  [11,] -0.172730072 -1.458013e-01 -0.002564863 -0.1122161041 -0.110084355
#>  [12,] -0.009228084  4.421054e-02 -0.071388223 -0.0728876382  0.042876593
#>  [13,] -0.027877755 -5.274233e-02  0.125603339  0.0597888336  0.010006174
#>  [14,]  0.147248977  1.798781e-01 -0.107047740 -0.0188834924  0.058147951
#>  [15,] -0.038330009  3.554191e-02 -0.133001363 -0.1336432710 -0.010494083
#>  [16,]  0.111012261  1.645190e-01 -0.065073249 -0.0059939554  0.102543017
#>  [17,] -0.166665877 -1.610813e-01  0.075409563 -0.0521639874 -0.111886481
#>  [18,]  0.143671563  1.888465e-01 -0.098460236 -0.0156391647  0.067118043
#>  [19,]  0.192032999  1.846872e-01 -0.059998656  0.0361959770  0.092719190
#>  [20,]  0.152517999  1.864042e-01 -0.099542280 -0.0114665907  0.064883072
#>  [21,]  0.028270653  9.806790e-02 -0.154139014 -0.1143850269  0.003418111
#>  [22,] -0.157634744 -1.423767e-01  0.031828465 -0.0801502794 -0.098117572
#>  [23,] -0.141075695 -1.521429e-01  0.133083459  0.0020363719 -0.095588849
#>  [24,] -0.065152430 -1.693585e-02 -0.063922937 -0.0980875565 -0.004994794
#>  [25,] -0.073654753 -8.096889e-02  0.095884042  0.0076151804 -0.023729713
#>  [26,] -0.036681066  3.651956e-02 -0.129169403 -0.1299978459 -0.007122421
#>  [27,]  0.131690555 -5.444876e-05  0.187347475  0.3873506185  0.034965226
#>  [28,]  0.200589482  1.157480e-01  0.001253552  0.1025721542  0.108964200
#>  [29,] -0.068666283 -3.760504e-03 -0.108443597 -0.1321723917 -0.020842792
#>  [30,] -0.057477044  1.234949e-02 -0.122097672 -0.1359279207 -0.017889931
#>  [31,]  0.207083913  1.676686e-01 -0.098775065  0.0324238218  0.051704627
#>  [32,]  0.052813433  8.215028e-02 -0.038297857 -0.0126466885  0.109464207
#>  [33,]  0.080478976 -2.739319e-02  0.227424110  0.3192893939  0.021662324
#>  [34,] -0.143626178 -1.500890e-01  0.115040076 -0.0136097192 -0.095105915
#>  [35,]  0.162790498  2.690922e-02  0.138267517  0.3151618346  0.053783480
#>  [36,]  0.011510366 -5.580992e-02  0.248703362  0.1846682236  0.006299671
#>  [37,] -0.126036997 -5.641869e-02 -0.133286305 -0.1829811891 -0.079480811
#>  [38,] -0.007508328  6.806824e-02 -0.131598158 -0.1166480216  0.008212905
#>  [39,]  0.081657325  1.471836e-01 -0.127874386 -0.0681445927  0.038548064
#>  [40,]  0.054954948 -2.537763e-02  0.192121343  0.2076421348  0.031961649
#>  [41,]  0.234320932  1.749744e-01 -0.070125797  0.0575584521  0.071648344
#>  [42,]  0.267884132  1.106056e-01  0.019871931  0.1626509620  0.089728894
#>  [43,] -0.105454478 -3.064046e-02 -0.155753483 -0.1885257737 -0.072438348
#>  [44,]  0.037349090  1.135625e-01 -0.120995342 -0.0860250960  0.035745555
#>  [45,]  0.144665726  1.730787e-01 -0.114134406 -0.0242833447  0.051383028
#>  [46,] -0.158330411 -1.310533e-01 -0.007271546 -0.1081748898 -0.095407312
#>  [47,] -0.095148991 -5.006781e-02 -0.056717970 -0.1097480825 -0.032827896
#>  [48,]  0.058715984 -2.789051e-03  0.124171835  0.1409420161  0.057255033
#>  [49,] -0.117709434 -8.961017e-02 -0.009438453 -0.0889342859 -0.054261440
#>  [50,]  0.052492816 -3.918601e-02  0.242532967  0.2624981456  0.016364628
#>  [51,]  0.311261266  1.346791e-01 -0.006570580  0.1343827262  0.089367243
#>  [52,]  0.134679141  2.108928e-01 -0.076892634 -0.0044460314  0.089162175
#>  [53,] -0.006570580 -7.689263e-02  0.337417969  0.2052659640 -0.014423862
#>  [54,]  0.134382726 -4.446031e-03  0.205265964  0.4689900712  0.028419955
#>  [55,]  0.089367243  8.916217e-02 -0.014423862  0.0284199548  0.153281429
#>  [56,]  0.093216697  1.171903e-02  0.121767921  0.1781585999  0.063852689
#>  [57,]  0.017219971  9.320610e-02 -0.136283094 -0.1073359002  0.015559476
#>  [58,] -0.055070418 -1.246246e-02 -0.050383535 -0.0826324334  0.006819384
#>  [59,] -0.101444810 -3.501550e-02 -0.119193685 -0.1581223619 -0.052620461
#>  [60,]  0.096168188  9.085689e-02 -0.011647740  0.0347789209  0.149225442
#>  [61,] -0.171006404 -1.545883e-01  0.033211341 -0.0855259352 -0.111417994
#>  [62,]  0.085191437  1.362720e-01 -0.144506515 -0.0767527853  0.022486219
#>  [63,] -0.120927868 -1.126831e-01  0.054269353 -0.0470339212 -0.063580030
#>  [64,] -0.131878808 -6.499369e-02 -0.123295391 -0.1788750363 -0.081317413
#>  [65,]  0.067964746 -2.579887e-02  0.209539345  0.2552432375  0.027672955
#>  [66,] -0.047719379  2.824908e-02 -0.152299682 -0.1527738706 -0.028654468
#>  [67,]  0.197343956  1.092414e-01  0.007719805  0.1091955358  0.108355824
#>  [68,] -0.152056404 -1.548742e-01  0.102688695 -0.0259278136 -0.101515702
#>  [69,] -0.049632238  2.656847e-02 -0.161719320 -0.1609728689 -0.036398903
#>  [70,] -0.163819418 -1.367823e-01 -0.006301348 -0.1101656351 -0.101006459
#>  [71,] -0.062526241  9.418137e-03 -0.131813860 -0.1456811887 -0.026486338
#>  [72,] -0.124788175 -5.222230e-02 -0.144836813 -0.1916703975 -0.083484847
#>  [73,]  0.085850240 -2.216266e-02  0.214849190  0.3109128000  0.026092816
#>  [74,] -0.109945015 -1.056948e-01  0.066586314 -0.0329403783 -0.054272756
#>  [75,] -0.112603390 -1.285103e-01  0.146892246  0.0211096308 -0.069731631
#>  [76,]  0.057764572  9.411933e-02 -0.047517667 -0.0177165727  0.106780819
#>  [77,]  0.240301363  1.503598e-01 -0.027140002  0.0862790148  0.098546652
#>  [78,]  0.138999556  3.364172e-02  0.104918747  0.2086693059  0.071475260
#>  [79,]  0.063059001  1.224698e-01 -0.150045395 -0.0927648730  0.014664785
#>  [80,] -0.001765093  7.303039e-02 -0.154410941 -0.1303357889 -0.007076479
#>  [81,] -0.161060354 -1.509292e-01  0.053003373 -0.0667613988 -0.103801931
#>  [82,]  0.085019232 -3.057191e-02  0.242571095  0.3663490429  0.016305970
#>  [83,] -0.083685318 -6.900883e-02  0.026660996 -0.0450051929 -0.022908194
#>  [84,] -0.051689122 -7.071669e-03 -0.055082257 -0.0841296383  0.009350725
#>  [85,]  0.051175476  9.572835e-02 -0.056539720 -0.0287687269  0.095836471
#>  [86,] -0.064657983 -1.061781e-01  0.239015246  0.1083685334 -0.042434319
#>  [87,]  0.248710061  9.546929e-02  0.038697359  0.1871434188  0.086154238
#>  [88,]  0.036903321  1.132776e-02  0.062081974  0.0629505246  0.075407203
#>  [89,]  0.182585583  7.921913e-02  0.042959393  0.1495081633  0.097665317
#>  [90,] -0.135622754 -9.758518e-02 -0.038055432 -0.1186089109 -0.071745092
#>  [91,]  0.062636053  8.393793e-02 -0.030519983 -0.0006663227  0.121759643
#>  [92,]  0.032517724  1.083645e-01 -0.130058740 -0.0950225811  0.026264202
#>  [93,] -0.087454976 -1.466918e-02 -0.141944755 -0.1669284573 -0.050522418
#>  [94,] -0.161041871 -1.629851e-01  0.104165310 -0.0268833409 -0.110368330
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#>                [,91]        [,92]        [,93]         [,94]         [,95]
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