Linear Matrix Operator — edm2gram • edmcr

edm2gram Linear transformation of a Euclidean Distance Matrix to a Gram Matrix

edm2gram(D)

Arguments

D	A Euclidean Distance Matrix

Value

G A Gram Matrix, where G = XX', and X is an nxp matrix containing the point configuration.

Details

While we specify that the input should be a Euclidean Distance Matrix (as this results in a Gram Matrix) the domain of edm2gram is the set of all real symmetric matrices. This function is particularly useful as it has the following property:

$$edm2gram(D_{n}^{-}) = B_{n}^{+}$$

where $D_{n}^{-}$ is the space of symmetric, hollow matrices, negative definite on the space spanned by $x'e = 0$ and $B_{n}^{+}$ is the space of centered positive definite matrices.

We can combine these two properties with a well known result: If D is a real symmetric matrix with 0 diagonal (call this matrix pre-EDM), then D is a Euclidean Distance Matrix iff D is negative semi-definite on $D_{n}^{-}$.

Using this result, combined with the properties of edm2gram we therefore have that D is an EDM iff D is pre-EDM and $edm2gram{D}$ is positive semi-definite.

Examples

 
XY <- cbind(runif(100,0,1),runif(100,0,1))
D <- dist(XY)
edm2gram(as.matrix(D))
#>                [,1]         [,2]          [,3]         [,4]         [,5]
#>   [1,]  0.198996670  0.163788551 -0.0169705259  0.168373797  0.153196351
#>   [2,]  0.163788551  0.306130295  0.0194616400  0.261194140  0.163148347
#>   [3,] -0.016970526  0.019461640  0.3521246888 -0.012730405 -0.062755763
#>   [4,]  0.168373797  0.261194140 -0.0127304047  0.288980919  0.187572470
#>   [5,]  0.153196351  0.163148347 -0.0627557626  0.187572470  0.238296154
#>   [6,]  0.062888990  0.055017565 -0.1318712089  0.080266934  0.130151431
#>   [7,] -0.143307320 -0.167562798  0.0032714436 -0.173360958 -0.162403423
#>   [8,] -0.029329185  0.003787514  0.3349503503 -0.027592969 -0.074984539
#>   [9,]  0.031798056  0.090590890  0.2781227124  0.052984906 -0.012278518
#>  [10,]  0.155427040  0.217660597 -0.0499713874  0.244753917  0.217021311
#>  [11,] -0.129772169 -0.149406934  0.0378235784 -0.158476147 -0.154587327
#>  [12,]  0.132987719  0.207832180 -0.0720044453  0.228940680  0.207474705
#>  [13,] -0.113722633 -0.128773931  0.0707884984 -0.140626176 -0.143045698
#>  [14,] -0.080320296 -0.086868098  0.1224115372 -0.103043717 -0.116105404
#>  [15,] -0.045089478 -0.077241462 -0.1468967833 -0.060804914 -0.015342169
#>  [16,] -0.004883245 -0.031260020 -0.1486511896 -0.011067640  0.038080284
#>  [17,]  0.014532678  0.059746102  0.2873651563  0.025546813 -0.030983332
#>  [18,] -0.123743597 -0.156384511 -0.0738777521 -0.153683779 -0.128076297
#>  [19,]  0.022026367  0.015316906 -0.1639075785  0.041428408  0.090049378
#>  [20,]  0.032522906  0.017710906 -0.1466871139  0.041817621  0.092458959
#>  [21,] -0.100413469 -0.135517162 -0.1127726392 -0.127034441 -0.092198120
#>  [22,] -0.019105828  0.020210835  0.3485003885 -0.012966756 -0.064906080
#>  [23,] -0.119686957 -0.139472949  0.0366286955 -0.148387199 -0.144833370
#>  [24,] -0.145057761 -0.173717708 -0.0346344719 -0.175678956 -0.157517302
#>  [25,] -0.087576601 -0.122527081 -0.1335004751 -0.110562143 -0.070534958
#>  [26,] -0.130468374 -0.149564336  0.0420498904 -0.158996638 -0.155735295
#>  [27,] -0.127145339 -0.151223262  0.0038208397 -0.157106047 -0.147344250
#>  [28,]  0.066928192  0.066482582 -0.1343662992  0.092977663  0.140369291
#>  [29,] -0.132460055 -0.165453011 -0.0794505236 -0.162179505 -0.135159102
#>  [30,]  0.152964660  0.173254873 -0.0626758444  0.199245038  0.233674356
#>  [31,] -0.141000000 -0.173472648 -0.0732189135 -0.170965599 -0.144889345
#>  [32,] -0.036565913 -0.064264269 -0.0149816372 -0.067016342 -0.056228677
#>  [33,] -0.043673060 -0.024601418  0.2662347593 -0.051288904 -0.087907255
#>  [34,]  0.017809303  0.034219773  0.1671285077  0.009796561 -0.027014254
#>  [35,]  0.166221657  0.282045155 -0.0004137594  0.280222890  0.178943875
#>  [36,]  0.153606078  0.185870774 -0.0604900029  0.213059464  0.228751539
#>  [37,] -0.104947744 -0.135183753 -0.0450247670 -0.135531488 -0.116394396
#>  [38,] -0.074998040 -0.090359032  0.0650977147 -0.101745264 -0.105704760
#>  [39,]  0.039632977  0.012476867 -0.0056648237  0.009499500  0.014022335
#>  [40,] -0.045314975 -0.072683700 -0.0136023072 -0.075731637 -0.064999765
#>  [41,]  0.159579231  0.224303321 -0.0433233777  0.251687018  0.213558115
#>  [42,]  0.147036672  0.260965686 -0.0243871313  0.264832352  0.197296947
#>  [43,]  0.022053801 -0.007779081 -0.1210796220  0.009792203  0.055561008
#>  [44,]  0.137392626  0.105102790 -0.0172979966  0.106784128  0.106875174
#>  [45,]  0.056566502  0.059157010 -0.1447266740  0.086184137  0.131702790
#>  [46,] -0.076111292 -0.109354328 -0.1528976756 -0.093884779 -0.049153608
#>  [47,] -0.133767639 -0.155754982  0.0200549559 -0.163214567 -0.156033772
#>  [48,]  0.050538778  0.090669476  0.1877359051  0.059085937  0.005053045
#>  [49,]  0.071301995  0.084263251  0.0984713037  0.062711631  0.025969795
#>  [50,]  0.169253586  0.137837610 -0.0126574087  0.139188373  0.129221495
#>  [51,] -0.061586901 -0.079623840  0.0465264644 -0.089323177 -0.090794064
#>  [52,] -0.030544814 -0.059844388 -0.1537116221 -0.041125530  0.006821675
#>  [53,] -0.048598597 -0.071858245 -0.1829255817 -0.049533922  0.001048177
#>  [54,]  0.048441220  0.032176632  0.0353427766  0.022529424  0.012314482
#>  [55,]  0.036343288  0.005672271 -0.0239124211  0.005720561  0.016910558
#>  [56,] -0.011217808 -0.030826458  0.0318526590 -0.039214600 -0.041504090
#>  [57,] -0.067529942 -0.071737115  0.1333341027 -0.088920799 -0.104841202
#>  [58,] -0.072174798 -0.101515579 -0.1746304879 -0.082289433 -0.033492003
#>  [59,] -0.143713798 -0.173588870 -0.0462187049 -0.174299535 -0.153926972
#>  [60,] -0.076639908 -0.080652825  0.1376019745 -0.098037775 -0.113731214
#>  [61,] -0.062374592 -0.086530895 -0.1869206829 -0.064409306 -0.013867638
#>  [62,] -0.014497778 -0.033751852 -0.1715163664 -0.010326908  0.040396236
#>  [63,] -0.088283535 -0.090917927  0.1502156304 -0.109118293 -0.125548047
#>  [64,]  0.070772990  0.046241820  0.0049168330  0.041646405  0.039330228
#>  [65,] -0.065857652 -0.094273574 -0.1757972958 -0.074492424 -0.025282060
#>  [66,] -0.023139035 -0.056360361 -0.0562429591 -0.053078888 -0.031060885
#>  [67,]  0.175870422  0.228248046  0.0092509735  0.217932227  0.154006011
#>  [68,]  0.005760383  0.027860499  0.2089489375  0.001073934 -0.039481151
#>  [69,]  0.173222861  0.243523875 -0.0152929702  0.262114019  0.186667042
#>  [70,]  0.017878958  0.008774634 -0.1643654101  0.034479900  0.083807444
#>  [71,]  0.043699334  0.068263172  0.1578636500  0.041609306 -0.002006106
#>  [72,]  0.173890949  0.237605453  0.0112376923  0.224730379  0.154993057
#>  [73,] -0.032704799 -0.054399451 -0.1777504231 -0.031636103  0.019034878
#>  [74,]  0.165985796  0.247804997 -0.0248421890  0.275026760  0.198692629
#>  [75,]  0.130366192  0.114817263  0.0162669204  0.107002422  0.087513339
#>  [76,] -0.075567613 -0.109411660 -0.0780387524 -0.104852582 -0.077852894
#>  [77,] -0.147044715 -0.172363076 -0.0044927083 -0.177320434 -0.164510754
#>  [78,] -0.138072718 -0.170713761 -0.0754412219 -0.167967445 -0.141622718
#>  [79,]  0.141049047  0.240271465 -0.0463132935  0.252161782  0.203000942
#>  [80,]  0.068900831  0.056740029 -0.1232366047  0.080849804  0.131516747
#>  [81,]  0.021736360 -0.010246452 -0.0349039249 -0.008763850  0.006651204
#>  [82,] -0.017767782  0.008881184  0.2804876799 -0.020029015 -0.063143890
#>  [83,] -0.043713963 -0.060517883  0.0515580099 -0.070828456 -0.074678928
#>  [84,] -0.037270991 -0.072469737 -0.1028442230 -0.062650347 -0.027660944
#>  [85,] -0.056474946 -0.084586430 -0.1725660032 -0.064733841 -0.015528071
#>  [86,] -0.026108804  0.002833709  0.3123669239 -0.027048810 -0.071572815
#>  [87,] -0.137144342 -0.166415254 -0.0407211853 -0.167763862 -0.148945460
#>  [88,] -0.048358007 -0.079821249 -0.0453851425 -0.078839509 -0.059960680
#>  [89,] -0.091375664 -0.119486311 -0.0242563405 -0.121941765 -0.107484151
#>  [90,]  0.002157846 -0.031695778 -0.0560572529 -0.027454371 -0.005011122
#>  [91,] -0.038746756 -0.063529136  0.0037487121 -0.068602857 -0.062322436
#>  [92,] -0.025937774 -0.060647511 -0.1132498143 -0.048453096 -0.009766512
#>  [93,] -0.018730344 -0.038006364  0.0343983772 -0.046653164 -0.048912648
#>  [94,]  0.103413178  0.085224732 -0.0920402390  0.106417430  0.155098893
#>  [95,] -0.048485999 -0.076485599 -0.1688149214 -0.056664930 -0.007536475
#>  [96,] -0.023889865  0.010545760  0.3421016358 -0.021146812 -0.069615636
#>  [97,] -0.012330316 -0.047352909 -0.0796320019 -0.039930032 -0.010411132
#>  [98,]  0.135270354  0.195499547  0.0758246056  0.163765718  0.096711359
#>  [99,] -0.042647872 -0.038693703  0.1704568294 -0.059267694 -0.083665131
#> [100,] -0.028221263 -0.022480061  0.1692672925 -0.043591033 -0.070109440
#>                 [,6]          [,7]         [,8]         [,9]         [,10]
#>   [1,]  0.0628889904 -0.1433073200 -0.029329185  0.031798056  0.1554270396
#>   [2,]  0.0550175649 -0.1675627977  0.003787514  0.090590890  0.2176605974
#>   [3,] -0.1318712089  0.0032714436  0.334950350  0.278122712 -0.0499713874
#>   [4,]  0.0802669344 -0.1733609582 -0.027592969  0.052984906  0.2447539172
#>   [5,]  0.1301514313 -0.1624034232 -0.074984539 -0.012278518  0.2170213106
#>   [6,]  0.2619661013 -0.1376530241 -0.140239068 -0.098034012  0.1243867555
#>   [7,] -0.1376530241  0.3689666654  0.023348915 -0.052436234 -0.1797466085
#>   [8,] -0.1402390676  0.0233489151  0.369110447  0.262032068 -0.0640021550
#>   [9,] -0.0980340116 -0.0524362336  0.262032068  0.374693375  0.0113946419
#>  [10,]  0.1243867555 -0.1797466085 -0.064002155  0.011394642  0.3029441009
#>  [11,] -0.1445191683  0.2817926040  0.058032549 -0.019107764 -0.1695388376
#>  [12,]  0.1654533986 -0.1917760781 -0.086432884 -0.006719450  0.2794985092
#>  [13,] -0.1454355261  0.2172336496  0.090654596  0.013479513 -0.1555390285
#>  [14,] -0.1388075959  0.1169994925  0.138869941  0.068690275 -0.1238073616
#>  [15,]  0.0792057098 -0.0242479601 -0.146988969 -0.145410181 -0.0344972575
#>  [16,]  0.1456900208 -0.0775464154 -0.152254020 -0.134308545  0.0219597737
#>  [17,] -0.1088062980 -0.0354234847  0.270193176  0.314174679 -0.0136003670
#>  [18,] -0.0784423220  0.1937195098 -0.062040246 -0.109684326 -0.1486666466
#>  [19,]  0.2207783925 -0.1215245906 -0.170633898 -0.135647616  0.0895820292
#>  [20,]  0.2201144773 -0.1182576268 -0.153286754 -0.120086459  0.0835150427
#>  [21,] -0.0235880859  0.1032181500 -0.105700574 -0.134714393 -0.1134689046
#>  [22,] -0.1352162103  0.0090258465  0.353894442  0.288725252 -0.0509452123
#>  [23,] -0.1374065622  0.2358087649  0.054730769 -0.016482082 -0.1595678303
#>  [24,] -0.1191800138  0.3131736093 -0.017027821 -0.084461794 -0.1767683120
#>  [25,]  0.0114163214  0.0601125338 -0.128747013 -0.147899201 -0.0913432973
#>  [26,] -0.1464158934  0.2860001778  0.062792877 -0.015919297 -0.1704800625
#>  [27,] -0.1284030422  0.2616541022  0.020813190 -0.046083644 -0.1641803820
#>  [28,]  0.2538657144 -0.1456470808 -0.143352367 -0.097382486  0.1414347523
#>  [29,] -0.0804843806  0.2160554444 -0.066560007 -0.117470486 -0.1559763009
#>  [30,]  0.1326162673 -0.1669693748 -0.075266646 -0.010027234  0.2343089513
#>  [31,] -0.0905272116  0.2502599648 -0.058577828 -0.115405625 -0.1656101223
#>  [32,] -0.0539729589  0.0210862425 -0.012468598 -0.029064635 -0.0726386470
#>  [33,] -0.1415539855  0.0458046163  0.285432702  0.199189555 -0.0834006872
#>  [34,] -0.0896399375 -0.0361588688  0.158843420  0.171668021 -0.0215080967
#>  [35,]  0.0715132906 -0.1730446551 -0.015718531  0.068335398  0.2384242012
#>  [36,]  0.1322632095 -0.1714365890 -0.073508634 -0.005297527  0.2541312979
#>  [37,] -0.0843646666  0.1558758250 -0.034492537 -0.078946685 -0.1356369611
#>  [38,] -0.1176806006  0.1019145645  0.076272023  0.024401810 -0.1171748662
#>  [39,] -0.0114812093 -0.0580200580 -0.010453106  0.004929223  0.0007231814
#>  [40,] -0.0609002376  0.0346158241 -0.010004321 -0.030955962 -0.0814716846
#>  [41,]  0.1148627289 -0.1783871899 -0.057466393  0.018500987  0.2881648891
#>  [42,]  0.1189180916 -0.1948740779 -0.040419811  0.051751429  0.2832005811
#>  [43,]  0.1308972175 -0.0851927075 -0.125690034 -0.104214739  0.0360217087
#>  [44,]  0.0449725770 -0.1185208272 -0.027490789  0.019119374  0.0979748651
#>  [45,]  0.2477848089 -0.1447482352 -0.153513260 -0.108076404  0.1371316591
#>  [46,]  0.0477469653  0.0229909034 -0.150157288 -0.160244419 -0.0684835386
#>  [47,] -0.1399384258  0.3021798424  0.039552339 -0.035096521 -0.1721191335
#>  [48,] -0.0749920547 -0.0690406395  0.172560720  0.234941826  0.0213159517
#>  [49,] -0.0447126151 -0.0797883662  0.087168509  0.130956082  0.0324530478
#>  [50,]  0.0507236403 -0.1317757032 -0.024202446  0.030985422  0.1264479897
#>  [51,] -0.1018576154  0.0720260180  0.054291360  0.014593330 -0.1030984952
#>  [52,]  0.1113298177 -0.0498565765 -0.155373546 -0.146364415 -0.0105463380
#>  [53,]  0.1264857774 -0.0432962766 -0.184117105 -0.175398600 -0.0102351140
#>  [54,] -0.0315086696 -0.0610332690  0.029029572  0.049090790  0.0051997263
#>  [55,]  0.0010375233 -0.0582796688 -0.028290163 -0.013698322  0.0011904586
#>  [56,] -0.0635499425 -0.0051596012  0.031811017  0.022554468 -0.0529000630
#>  [57,] -0.1332115461  0.0880732689  0.147143475  0.083458706 -0.1110994824
#>  [58,]  0.0812213517  0.0007326813 -0.173130973 -0.176760108 -0.0493446942
#>  [59,] -0.1114806725  0.2919516913 -0.029616747 -0.093613156 -0.1736559213
#>  [60,] -0.1402209457  0.1087553479  0.154425596  0.082497411 -0.1202084097
#>  [61,]  0.1116810808 -0.0196131742 -0.186786680 -0.183553060 -0.0251990177
#>  [62,]  0.1681298145 -0.0835922289 -0.175353540 -0.154894848  0.0308478272
#>  [63,] -0.1505964574  0.1418770758  0.171976701  0.087381065 -0.1318520590
#>  [64,] -0.0023084884 -0.0790971243 -0.002295891  0.025100913  0.0293145973
#>  [65,]  0.0910945974 -0.0121117285 -0.175027412 -0.175507677 -0.0405467656
#>  [66,] -0.0116350642 -0.0063443855 -0.055815760 -0.061341340 -0.0504908126
#>  [67,]  0.0497509982 -0.1547440611 -0.005096439  0.069970593  0.1829964097
#>  [68,] -0.1036276531 -0.0247839281  0.200604645  0.202852753 -0.0320537572
#>  [69,]  0.0785277748 -0.1687690821 -0.029719938  0.047237380  0.2312025324
#>  [70,]  0.2154446482 -0.1171151441 -0.170727960 -0.137696546  0.0813849024
#>  [71,] -0.0736854578 -0.0609578931  0.145790471  0.185492339  0.0077953293
#>  [72,]  0.0497098840 -0.1564730594 -0.003322392  0.073466751  0.1874579046
#>  [73,]  0.1451962069 -0.0639813209 -0.180238607 -0.165894262  0.0083199118
#>  [74,]  0.0934289842 -0.1761879620 -0.039469315  0.039628494  0.2621697102
#>  [75,]  0.0160917563 -0.1132718474  0.005211909  0.055137740  0.0870475696
#>  [76,] -0.0346920752  0.0697720153 -0.072637888 -0.097063098 -0.0984934293
#>  [77,] -0.1354652780  0.3610856680  0.015771466 -0.060308065 -0.1824212012
#>  [78,] -0.0873385197  0.2379891483 -0.061440635 -0.116135595 -0.1623689859
#>  [79,]  0.1405461259 -0.1965032740 -0.061835981  0.026194056  0.2861342239
#>  [80,]  0.2294739989 -0.1346120908 -0.131550137 -0.090129188  0.1211224493
#>  [81,]  0.0014435635 -0.0481287742 -0.038142430 -0.028379456 -0.0106084905
#>  [82,] -0.1263865271  0.0032032759  0.277422467  0.233628790 -0.0545619812
#>  [83,] -0.0923462748  0.0409782748  0.056426551  0.026550580 -0.0858439686
#>  [84,]  0.0271684955 -0.0063777081 -0.102154509 -0.106264699 -0.0489316387
#>  [85,]  0.0999270727 -0.0264474434 -0.172631552 -0.169720353 -0.0309173887
#>  [86,] -0.1349091678  0.0156419320  0.318994713  0.244739326 -0.0622708057
#>  [87,] -0.1111880058  0.2733322812 -0.024966647 -0.086563220 -0.1682929503
#>  [88,] -0.0404934211  0.0325280705 -0.042140911 -0.059888876 -0.0787999106
#>  [89,] -0.0871644588  0.1270507327 -0.014716504 -0.056711709 -0.1254377069
#>  [90,]  0.0080763483 -0.0348181907 -0.057851484 -0.053543173 -0.0243620993
#>  [91,] -0.0667040736  0.0274808875  0.006873643 -0.013288233 -0.0772451052
#>  [92,]  0.0535156450 -0.0271757141 -0.113859616 -0.111736175 -0.0309161092
#>  [93,] -0.0693932581  0.0040622586  0.035320344  0.021867057 -0.0604151390
#>  [94,]  0.1613377164 -0.1366986211 -0.101328149 -0.055881250  0.1361405076
#>  [95,]  0.1066238762 -0.0362733063 -0.169493061 -0.164098556 -0.0231521155
#>  [96,] -0.1365508796  0.0136795494  0.351802747  0.268529659 -0.0578924983
#>  [97,]  0.0225417562 -0.0271359075 -0.080572908 -0.078778052 -0.0311893211
#>  [98,] -0.0008346515 -0.1300331403  0.060525402  0.140470065  0.1235938052
#>  [99,] -0.1254947539  0.0423490224  0.178922401  0.127003504 -0.0855579260
#> [100,] -0.1163752524  0.0200455049  0.172922543  0.135757001 -0.0707412696
#>               [,11]         [,12]        [,13]        [,14]        [,15]
#>   [1,] -0.129772169  0.1329877188 -0.113722633 -0.080320296 -0.045089478
#>   [2,] -0.149406934  0.2078321795 -0.128773931 -0.086868098 -0.077241462
#>   [3,]  0.037823578 -0.0720044453  0.070788498  0.122411537 -0.146896783
#>   [4,] -0.158476147  0.2289406804 -0.140626176 -0.103043717 -0.060804914
#>   [5,] -0.154587327  0.2074747049 -0.143045698 -0.116105404 -0.015342169
#>   [6,] -0.144519168  0.1654533986 -0.145435526 -0.138807596  0.079205710
#>   [7,]  0.281792604 -0.1917760781  0.217233650  0.116999493 -0.024247960
#>   [8,]  0.058032549 -0.0864328839  0.090654596  0.138869941 -0.146988969
#>   [9,] -0.019107764 -0.0067194501  0.013479513  0.068690275 -0.145410181
#>  [10,] -0.169538838  0.2794985092 -0.155539028 -0.123807362 -0.034497257
#>  [11,]  0.316477205 -0.1852404416  0.251762664  0.150459001 -0.049084157
#>  [12,] -0.185240442  0.4265136994 -0.173798761 -0.145109713 -0.014037247
#>  [13,]  0.251762664 -0.1737987612  0.284762858  0.182718068 -0.066911559
#>  [14,]  0.150459001 -0.1451097133  0.182718068  0.238281734 -0.091418907
#>  [15,] -0.049084157 -0.0140372467 -0.066911559 -0.091418907  0.228551005
#>  [16,] -0.094886502  0.0501943168 -0.105561961 -0.116780564  0.163200054
#>  [17,] -0.001974954 -0.0343859287  0.030661665  0.085785638 -0.142766667
#>  [18,]  0.146960691 -0.1511204487  0.104732381  0.034375485  0.051194734
#>  [19,] -0.138389959  0.1509279295 -0.147125613 -0.152223408  0.126399349
#>  [20,] -0.130450147  0.1247192227 -0.135992488 -0.137227097  0.115027452
#>  [21,]  0.063969049 -0.1072528844  0.031518985 -0.020443403  0.117193445
#>  [22,]  0.043704427 -0.0725770278  0.076460387  0.125978392 -0.150087555
#>  [23,]  0.262246560 -0.1755464083  0.243846182  0.152124406 -0.048366010
#>  [24,]  0.235807644 -0.1843097180  0.175177918  0.081228921  0.006224082
#>  [25,]  0.022790497 -0.0784144445 -0.006425160 -0.050979170  0.159094778
#>  [26,]  0.314330738 -0.1864315251  0.255363860  0.153429530 -0.051220029
#>  [27,]  0.253334096 -0.1771946041  0.208363835  0.119670232 -0.026313750
#>  [28,] -0.152607965  0.1937089709 -0.153315075 -0.145773318  0.075249798
#>  [29,]  0.157169375 -0.1567968689  0.108522976  0.031457055  0.055381618
#>  [30,] -0.158959654  0.2249638686 -0.147143289 -0.119535420 -0.017969123
#>  [31,]  0.180250438 -0.1669239714  0.125421256  0.040716336  0.046816846
#>  [32,]  0.029463504 -0.0866036515  0.035735504  0.038722834 -0.008414937
#>  [33,]  0.080445385 -0.1068001110  0.113316897  0.162752969 -0.133300964
#>  [34,] -0.006818241 -0.0449198772  0.022413274  0.075248329 -0.111887611
#>  [35,] -0.156826108  0.2277771838 -0.137804542 -0.098322655 -0.067937906
#>  [36,] -0.162946974  0.2432472005 -0.150613848 -0.121955750 -0.022180823
#>  [37,]  0.137732049 -0.1436159137  0.112705580  0.058212755  0.022271479
#>  [38,]  0.127693492 -0.1362148300  0.149403768  0.160829822 -0.063987053
#>  [39,] -0.045399019 -0.0166970187 -0.032170926 -0.008506940 -0.025609693
#>  [40,]  0.042730639 -0.0953239519  0.048066928  0.047464545 -0.008992759
#>  [41,] -0.167255385  0.2659570202 -0.152516415 -0.119696346 -0.039838269
#>  [42,] -0.181653943  0.3638699068 -0.164574253 -0.127041195 -0.051101177
#>  [43,] -0.094297667  0.0507403636 -0.098598948 -0.100536560  0.112802702
#>  [44,] -0.105855006  0.0781828817 -0.091094688 -0.061003367 -0.033712648
#>  [45,] -0.154441225  0.2012752597 -0.157184671 -0.152470351  0.087372638
#>  [46,] -0.013426847 -0.0470657223 -0.040543264 -0.079615791  0.194527859
#>  [47,]  0.296257561 -0.1862826743  0.233644475  0.134282048 -0.037812472
#>  [48,] -0.039290364 -0.0003230187 -0.009433524  0.044589767 -0.122897283
#>  [49,] -0.055547033  0.0090263867 -0.030692296  0.015710279 -0.092207341
#>  [50,] -0.118062155  0.1047159233 -0.102087878 -0.069312399 -0.043220504
#>  [51,]  0.093193226 -0.1214684616  0.110514008  0.123170859 -0.053440330
#>  [52,] -0.072660136  0.0157846896 -0.088162612 -0.107747878  0.201805597
#>  [53,] -0.077477254  0.0359116997 -0.100676246 -0.129823780  0.189701968
#>  [54,] -0.042808979 -0.0159681434 -0.024131481  0.009870606 -0.055682893
#>  [55,] -0.048639705 -0.0138194407 -0.038166660 -0.019330365 -0.009226712
#>  [56,]  0.012548571 -0.0718880852  0.029196222  0.054509092 -0.047082510
#>  [57,]  0.120780096 -0.1329784022  0.152405709  0.207204451 -0.095797926
#>  [58,] -0.039181189 -0.0146817551 -0.067593510 -0.106225028  0.196433031
#>  [59,]  0.218632234 -0.1796477580  0.160260285  0.069464761  0.016955085
#>  [60,]  0.142631465 -0.1420275464  0.175335155  0.228707787 -0.097370348
#>  [61,] -0.060330281  0.0224572751 -0.088409344 -0.124815235  0.188522400
#>  [62,] -0.107155718  0.0775247297 -0.121935881 -0.137845765  0.169203282
#>  [63,]  0.176495127 -0.1537743296  0.208437728  0.226416839 -0.100992049
#>  [64,] -0.064489951  0.0096835390 -0.048848664 -0.019375711 -0.038505740
#>  [65,] -0.049637519 -0.0045143948 -0.076118404 -0.111604927  0.198445776
#>  [66,] -0.006490415 -0.0587052495 -0.006556094 -0.009584800  0.036280825
#>  [67,] -0.137836536  0.1611893984 -0.118568958 -0.079357438 -0.068088798
#>  [68,]  0.006652766 -0.0552940301  0.037727107  0.092811587 -0.122806815
#>  [69,] -0.154266084  0.2103191157 -0.136852137 -0.100169128 -0.057710705
#>  [70,] -0.134497723  0.1393517278 -0.143770322 -0.149949480  0.131289972
#>  [71,] -0.032608951 -0.0152662052 -0.004087442  0.048024929 -0.112143880
#>  [72,] -0.139316800  0.1664982885 -0.119794986 -0.080102126 -0.069915822
#>  [73,] -0.092601768  0.0541948450 -0.111472032 -0.133931155  0.183983698
#>  [74,] -0.162696284  0.2451905486 -0.145992207 -0.110137979 -0.053316875
#>  [75,] -0.096574045  0.0643664600 -0.078256917 -0.042241279 -0.056563094
#>  [76,]  0.053087671 -0.1014118537  0.036350952  0.003310592  0.070398235
#>  [77,]  0.274134989 -0.1932915261  0.209481490  0.109118505 -0.016928625
#>  [78,]  0.172180876 -0.1635778282  0.119559803  0.037547687  0.049336439
#>  [79,] -0.186187849  0.3972717406 -0.171483587 -0.137513026 -0.035431096
#>  [80,] -0.139740046  0.1522836826 -0.139419401 -0.131229465  0.071793665
#>  [81,] -0.040911165 -0.0235247504 -0.032953859 -0.019235552  0.004095550
#>  [82,]  0.037137189 -0.0775660979  0.070003382  0.124367042 -0.136340489
#>  [83,]  0.062270625 -0.1050547440  0.081179685  0.104723432 -0.057189933
#>  [84,] -0.019875957 -0.0457665490 -0.030424403 -0.047528298  0.114373014
#>  [85,] -0.059779826  0.0038903959 -0.083111979 -0.113923130  0.202870139
#>  [86,]  0.050165673 -0.0851062453  0.083144625  0.134825297 -0.141707900
#>  [87,]  0.214738439 -0.1756424397  0.161141570  0.074426883  0.011305142
#>  [88,]  0.032052298 -0.0883018476  0.029818517  0.018796081  0.025428891
#>  [89,]  0.124395638 -0.1365846081  0.112946577  0.073729474  0.002407381
#>  [90,] -0.032791931 -0.0330415827 -0.029860528 -0.025421103  0.031769565
#>  [91,]  0.039862607 -0.0930858597  0.049743830  0.057740195 -0.024589134
#>  [92,] -0.040994840 -0.0239197713 -0.050928045 -0.065288930  0.132691225
#>  [93,]  0.022192723 -0.0793407779  0.038974205  0.063473439 -0.048211601
#>  [94,] -0.135299967  0.1442326922 -0.129723435 -0.113525741  0.032811298
#>  [95,] -0.066395809  0.0102738824 -0.087300916 -0.114513002  0.205170030
#>  [96,]  0.048336246 -0.0801705715  0.081176318  0.131226302 -0.147030840
#>  [97,] -0.031531668 -0.0343702163 -0.034223458 -0.038805286  0.067838650
#>  [98,] -0.107396002  0.1037926007 -0.083333771 -0.036927236 -0.094012580
#>  [99,]  0.074805688 -0.1085798777  0.106468298  0.161831654 -0.108753493
#> [100,]  0.051468600 -0.0939340687  0.082268245  0.136750786 -0.108788598
#>               [,16]         [,17]        [,18]        [,19]         [,20]
#>   [1,] -0.004883245  0.0145326784 -0.123743597  0.022026367  0.0325229058
#>   [2,] -0.031260020  0.0597461022 -0.156384511  0.015316906  0.0177109057
#>   [3,] -0.148651190  0.2873651563 -0.073877752 -0.163907578 -0.1466871139
#>   [4,] -0.011067640  0.0255468127 -0.153683779  0.041428408  0.0418176214
#>   [5,]  0.038080284 -0.0309833316 -0.128076297  0.090049378  0.0924589586
#>   [6,]  0.145690021 -0.1088062980 -0.078442322  0.220778393  0.2201144773
#>   [7,] -0.077546415 -0.0354234847  0.193719510 -0.121524591 -0.1182576268
#>   [8,] -0.152254020  0.2701931761 -0.062040246 -0.170633898 -0.1532867536
#>   [9,] -0.134308545  0.3141746793 -0.109684326 -0.135647616 -0.1200864588
#>  [10,]  0.021959774 -0.0136003670 -0.148666647  0.089582029  0.0835150427
#>  [11,] -0.094886502 -0.0019749542  0.146960691 -0.138389959 -0.1304501468
#>  [12,]  0.050194317 -0.0343859287 -0.151120449  0.150927930  0.1247192227
#>  [13,] -0.105561961  0.0306616651  0.104732381 -0.147125613 -0.1359924876
#>  [14,] -0.116780564  0.0857856379  0.034375485 -0.152223408 -0.1372270966
#>  [15,]  0.163200054 -0.1427666669  0.051194734  0.126399349  0.1150274518
#>  [16,]  0.230904189 -0.1365946969 -0.007649489  0.186847964  0.1827125944
#>  [17,] -0.136594697  0.3314187456 -0.095850905 -0.144156243 -0.1276267857
#>  [18,] -0.007649489 -0.0958509051  0.275401635 -0.050004166 -0.0526302650
#>  [19,]  0.186847964 -0.1441562434 -0.050004166  0.346759689  0.2462295365
#>  [20,]  0.182712594 -0.1276267857 -0.052630265  0.246229537  0.2636028548
#>  [21,]  0.054385607 -0.1244443246  0.184440873  0.015061707  0.0070609599
#>  [22,] -0.152240566  0.2912933210 -0.073075039 -0.167453429 -0.1502478953
#>  [23,] -0.091100095  0.0003914615  0.132663990 -0.134001714 -0.1248156519
#>  [24,] -0.051668401 -0.0681132159  0.230352739 -0.094575806 -0.0955753826
#>  [25,]  0.093909330 -0.1399350747  0.141324311  0.059025985  0.0457258466
#>  [26,] -0.097011123  0.0012630853  0.145711319 -0.140498467 -0.1324900882
#>  [27,] -0.074354213 -0.0296106721  0.170423704 -0.118250034 -0.1119476526
#>  [28,]  0.142676240 -0.1097273891 -0.085683855  0.240419569  0.2220419453
#>  [29,] -0.006165720 -0.1032265017  0.265678439 -0.046750512 -0.0525358879
#>  [30,]  0.036744327 -0.0299576883 -0.132598304  0.093610914  0.0936901302
#>  [31,] -0.015460388 -0.1003600172  0.258118871 -0.055306600 -0.0621464963
#>  [32,] -0.027407284 -0.0201140107  0.030031547 -0.062910022 -0.0486363652
#>  [33,] -0.143922076  0.2149927455 -0.038621480 -0.167819067 -0.1505481981
#>  [34,] -0.108167220  0.1786351263 -0.075804169 -0.121369516 -0.1041757866
#>  [35,] -0.019095772  0.0389782882 -0.156513138  0.032697426  0.0331372928
#>  [36,]  0.033438983 -0.0266755305 -0.137615249  0.094614297  0.0924235928
#>  [37,] -0.026177481 -0.0653336942  0.178356107 -0.070199652 -0.0653164939
#>  [38,] -0.090670342  0.0398987409  0.049309548 -0.127653598 -0.1134965918
#>  [39,] -0.018376905  0.0057297148 -0.046185555 -0.036383810 -0.0190581023
#>  [40,] -0.031207588 -0.0210820830  0.041345032 -0.068082272 -0.0543812773
#>  [41,]  0.015117458 -0.0067184152 -0.149526030  0.078683667  0.0745289436
#>  [42,]  0.008638834  0.0170491098 -0.167853005  0.094807685  0.0770749815
#>  [43,]  0.153247034 -0.1072599988 -0.026214477  0.132042494  0.1462067547
#>  [44,] -0.002317718  0.0083613433 -0.099507957  0.007533274  0.0224005315
#>  [45,]  0.154754615 -0.1203771556 -0.080812764  0.279452962  0.2351377022
#>  [46,]  0.132956619 -0.1546546451  0.104307124  0.108244170  0.0862909870
#>  [47,] -0.086309601 -0.0180955271  0.165821321 -0.130216306 -0.1238483158
#>  [48,] -0.109853321  0.2235186856 -0.105953974 -0.111770728 -0.0958943929
#>  [49,] -0.077128027  0.1242008887 -0.096149055 -0.080170144 -0.0638873906
#>  [50,] -0.007461114  0.0165638298 -0.113849236  0.011007348  0.0238366521
#>  [51,] -0.076978949  0.0284332965  0.038637675 -0.112835110 -0.0982915454
#>  [52,]  0.196467608 -0.1459494642  0.024662104  0.164036833  0.1497951185
#>  [53,]  0.186213804 -0.1754025841  0.037959828  0.227681272  0.1696924923
#>  [54,] -0.046987244  0.0492718046 -0.062860972 -0.060640272 -0.0433090148
#>  [55,] -0.001977532 -0.0129903162 -0.039356834 -0.021681314 -0.0044755875
#>  [56,] -0.055272610  0.0306484598 -0.014094104 -0.082823788 -0.0662275518
#>  [57,] -0.116832484  0.1003444359  0.014770943 -0.149766540 -0.1339706852
#>  [58,]  0.159309459 -0.1731550449  0.082379005  0.166262107  0.1241604936
#>  [59,] -0.042041505 -0.0776252153  0.240962550 -0.084430376 -0.0867034992
#>  [60,] -0.121005897  0.0996785405  0.024913084 -0.155316558 -0.1398993824
#>  [61,]  0.173237752 -0.1820854577  0.061886004  0.216494480  0.1547912107
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#>  [80,]  0.135436984 -0.1004595170 -0.078380292  0.191153634  0.1991134923
#>  [81,]  0.007014758 -0.0264120905 -0.025017372 -0.017181609 -0.0004455506
#>  [82,] -0.139364839  0.2506971085 -0.066108574 -0.156798209 -0.1394618143
#>  [83,] -0.074723779  0.0389753499  0.014080104 -0.107337959 -0.0917128371
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#>  [85,]  0.177223817 -0.1678370940  0.054414222  0.181247195  0.1427705569
#>  [86,] -0.146466216  0.2589661244 -0.062418816 -0.164958362 -0.1476022462
#>  [87,] -0.045145884 -0.0707778310  0.233308028 -0.088501785 -0.0883297356
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#> [100,] -0.117381292  0.1511917133 -0.036221670 -0.141403260 -0.1241948273
#>               [,21]         [,22]         [,23]        [,24]        [,25]
#>   [1,] -0.100413469 -0.0191058276 -1.196870e-01 -0.145057761 -0.087576601
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#>   [3,] -0.112772639  0.3485003885  3.662870e-02 -0.034634472 -0.133500475
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#>  [15,]  0.117193445 -0.1500875550 -4.836601e-02  0.006224082  0.159094778
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#>  [23,]  0.056684398  0.0410720257  2.723408e-01  0.200558240  0.017412887
#>  [24,]  0.140360302 -0.0305859579  2.005582e-01  0.364912243  0.097645485
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#>  [30,] -0.096268594 -0.0646309030 -1.491794e-01 -0.162137926 -0.074077623
#>  [31,]  0.184647767 -0.0709724547  1.534637e-01  0.301487208  0.145293860
#>  [32,]  0.022180136 -0.0175345314  3.881746e-02  0.018906287  0.008413483
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#>  [37,]  0.127206811 -0.0447945389  1.359936e-01  0.168066419  0.090069189
#>  [38,]  0.003132905  0.0657722729  1.366428e-01  0.077898740 -0.025275440
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#>  [40,]  0.029312266 -0.0158641664  5.197430e-02  0.032032930  0.012974624
#>  [41,] -0.116085356 -0.0442117059 -1.572349e-01 -0.176451915 -0.095182111
#>  [42,] -0.133133075 -0.0229350953 -1.715619e-01 -0.194337240 -0.110132607
#>  [43,]  0.024954883 -0.1247009685 -8.810136e-02 -0.066373950  0.054169811
#>  [44,] -0.079188239 -0.0202914936 -9.580393e-02 -0.120041485 -0.069471367
#>  [45,] -0.021368946 -0.1479845766 -1.479426e-01 -0.123374594  0.017922511
#>  [46,]  0.174789361 -0.1554971245 -1.767878e-02  0.061115149  0.224426099
#>  [47,]  0.080132052  0.0254161417  2.528483e-01  0.259061774  0.038130893
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#>  [52,]  0.090475006 -0.1571333175 -7.092135e-02 -0.020239993  0.133365235
#>  [53,]  0.108461067 -0.1863002444 -7.974456e-02 -0.004916599  0.158127838
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#>  [56,] -0.026278592  0.0287745847  2.261984e-02 -0.015786765 -0.038846688
#>  [57,] -0.033924031  0.1354581603  1.240928e-01  0.054727593 -0.061743995
#>  [58,]  0.151299547 -0.1775329047 -4.435248e-02  0.041986317  0.199551101
#>  [59,]  0.152370447 -0.0428066750  1.870167e-01  0.342772457  0.110006408
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#>  [61,]  0.130283148 -0.1900967271 -6.540149e-02  0.022709253  0.178399212
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#>  [63,] -0.023340307  0.1573781572  1.699706e-01  0.099002057 -0.056228900
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#>  [65,]  0.139447345 -0.1788481408 -5.367474e-02  0.027809699  0.188683106
#>  [66,]  0.041623183 -0.0592923538  1.338206e-03  0.001029093  0.038938541
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#>  [70,]  0.019968677 -0.1679395447 -1.303066e-01 -0.089879382  0.064001230
#>  [71,] -0.108386846  0.1552841971 -2.522841e-02 -0.083171343 -0.117938246
#>  [72,] -0.124218987  0.0106450768 -1.293019e-01 -0.161858695 -0.112449780
#>  [73,]  0.085436311 -0.1812669102 -9.261503e-02 -0.029214513  0.134258230
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#>  [75,] -0.091807458  0.0135231824 -8.651493e-02 -0.119352801 -0.086340112
#>  [76,]  0.135933399 -0.0798173589  5.495398e-02  0.088639110  0.117533508
#>  [77,]  0.114228257  0.0013890787  2.280849e-01  0.335313967  0.071157728
#>  [78,]  0.187122418 -0.0735448030  1.479057e-01  0.287625492  0.147084071
#>  [79,] -0.123577764 -0.0456479008 -1.761864e-01 -0.192762303 -0.097523421
#>  [80,] -0.026385136 -0.1265949123 -1.322499e-01 -0.117864494  0.006074199
#>  [81,] -0.010851184 -0.0384481442 -3.147440e-02 -0.046290198 -0.009435504
#>  [82,] -0.102671757  0.2775652494  3.830486e-02 -0.031690297 -0.122838113
#>  [83,] -0.013681872  0.0497520485  7.210526e-02  0.024650340 -0.034131684
#>  [84,]  0.095107755 -0.1058693626 -1.570121e-02  0.013510440  0.107985602
#>  [85,]  0.124996930 -0.1757652424 -6.203221e-02  0.010807851  0.174599766
#>  [86,] -0.103143795  0.3138473508  4.907013e-02 -0.022210924 -0.125087192
#>  [87,]  0.142380306 -0.0378064590  1.891148e-01  0.304748048  0.099247803
#>  [88,]  0.060224417 -0.0477732653  3.945891e-02  0.038337591  0.047390631
#>  [89,]  0.088064358 -0.0244343182  1.294302e-01  0.128036375  0.056378732
#>  [90,]  0.017516655 -0.0594611291 -2.430886e-02 -0.028357115  0.020373877
#>  [91,]  0.010828467  0.0013735320  4.971664e-02  0.021027687 -0.005421287
#>  [92,]  0.083138369 -0.1165100498 -3.667247e-02 -0.006155668  0.104569002
#>  [93,] -0.022599060  0.0315172079  3.225305e-02 -0.007367513 -0.036786501
#>  [94,] -0.049584973 -0.0952188212 -1.264958e-01 -0.126137252 -0.024697449
#>  [95,]  0.113471166 -0.1721096814 -6.734696e-02 -0.001181360  0.162212283
#>  [96,] -0.109079017  0.3535925109  4.610551e-02 -0.025487373 -0.131042854
#>  [97,]  0.047328364 -0.0829283326 -2.457264e-02 -0.014825410  0.054770404
#>  [98,] -0.128232956  0.0759244992 -9.807190e-02 -0.142645040 -0.124397678
#>  [99,] -0.062353670  0.1702418494  7.862553e-02  0.010625060 -0.085670220
#> [100,] -0.070751490  0.1673423485  5.657114e-02 -0.009150501 -0.091369018
#>               [,26]         [,27]         [,28]         [,29]        [,30]
#>   [1,] -0.130468374 -0.1271453390  0.0669281922 -0.1324600549  0.152964660
#>   [2,] -0.149564336 -0.1512232619  0.0664825823 -0.1654530105  0.173254873
#>   [3,]  0.042049890  0.0038208397 -0.1343662992 -0.0794505236 -0.062675844
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#>   [7,]  0.286000178  0.2616541022 -0.1456470808  0.2160554444 -0.166969375
#>   [8,]  0.062792877  0.0208131899 -0.1433523668 -0.0665600069 -0.075266646
#>   [9,] -0.015919297 -0.0460836438 -0.0973824859 -0.1174704860 -0.010027234
#>  [10,] -0.170480063 -0.1641803820  0.1414347523 -0.1559763009  0.234308951
#>  [11,]  0.314330738  0.2533340956 -0.1526079646  0.1571693750 -0.158959654
#>  [12,] -0.186431525 -0.1771946041  0.1937089709 -0.1567968689  0.224963869
#>  [13,]  0.255363860  0.2083638351 -0.1533150746  0.1085229763 -0.147143289
#>  [14,]  0.153429530  0.1196702324 -0.1457733184  0.0314570555 -0.119535420
#>  [15,] -0.051220029 -0.0263137500  0.0752497978  0.0553816178 -0.017969123
#>  [16,] -0.097011123 -0.0743542133  0.1426762396 -0.0061657202  0.036744327
#>  [17,]  0.001263085 -0.0296106721 -0.1097273891 -0.1032265017 -0.029957688
#>  [18,]  0.145711319  0.1704237044 -0.0856838550  0.2656784386 -0.132598304
#>  [19,] -0.140498467 -0.1182500342  0.2404195688 -0.0467505123  0.093610914
#>  [20,] -0.132490088 -0.1119476526  0.2220419453 -0.0525358879  0.093690130
#>  [21,]  0.062194820  0.0886409819 -0.0296827848  0.1929285372 -0.096268594
#>  [22,]  0.048323040  0.0075259592 -0.1375884490 -0.0781357958 -0.064630903
#>  [23,]  0.261417352  0.2365750285 -0.1454609059  0.1370087388 -0.149179424
#>  [24,]  0.237622642  0.2393360340 -0.1267930376  0.2620479597 -0.162137926
#>  [25,]  0.020906539  0.0473982952  0.0066131023  0.1519226613 -0.074077623
#>  [26,]  0.325866952  0.2515101693 -0.1545014845  0.1566591667 -0.160088104
#>  [27,]  0.251510169  0.2780067867 -0.1364933453  0.1774181353 -0.151873870
#>  [28,] -0.154501485 -0.1364933453  0.2923511079 -0.0873354165  0.144835652
#>  [29,]  0.156659167  0.1774181353 -0.0873354165  0.3194994639 -0.139628440
#>  [30,] -0.160088104 -0.1518738702  0.1448356521 -0.1396284404  0.251619733
#>  [31,]  0.180756531  0.1948953721 -0.0973056357  0.3092763343 -0.149381752
#>  [32,]  0.028111253  0.0368286574 -0.0616332423  0.0203084228 -0.060698655
#>  [33,]  0.084853408  0.0445244033 -0.1460399644 -0.0428595565 -0.089340054
#>  [34,] -0.005172627 -0.0243834564 -0.0925496334 -0.0844070121 -0.028091230
#>  [35,] -0.157202925 -0.1567129707  0.0842833854 -0.1652325638  0.190487075
#>  [36,] -0.164034319 -0.1562344549  0.1463652967 -0.1446706740  0.246561577
#>  [37,]  0.135612462  0.1604876607 -0.0923400276  0.1696320546 -0.121015776
#>  [38,]  0.128141090  0.1145793229 -0.1250800427  0.0434831282 -0.109643928
#>  [39,] -0.046294011 -0.0418466222 -0.0170861566 -0.0557081843  0.009957349
#>  [40,]  0.041336596  0.0503608605 -0.0686593554  0.0316456294 -0.069478228
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#>  [86,]  0.054329668  0.0162225844 -0.1382003666 -0.0677217439 -0.072131884
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#> [100,]  0.053678284  0.0288529190 -0.1213502431 -0.0432138815 -0.072354773
#>               [,31]        [,32]        [,33]         [,34]         [,35]
#>   [1,] -0.141000000 -0.036565913 -0.043673060  1.780930e-02  0.1662216570
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#>  [24,]  0.301487208  0.018906287  0.006493295 -6.050608e-02 -0.1768392931
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#>  [30,] -0.149381752 -0.060698655 -0.089340054 -2.809123e-02  0.1904870751
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#>  [57,]  0.017447899  0.038673654  0.170652898  9.207237e-02 -0.0837343685
#>  [58,]  0.097138142 -0.032350313 -0.157085149 -1.421181e-01 -0.0901540663
#>  [59,]  0.315473053  0.018794908 -0.005864256 -6.724550e-02 -0.1759248579
#>  [60,]  0.031169132  0.034771438  0.178287964  8.505255e-02 -0.0927873252
#>  [61,]  0.079687200 -0.047044126 -0.172277007 -1.514178e-01 -0.0728525838
#>  [62,] -0.008409825 -0.049117328 -0.167074159 -1.306245e-01 -0.0189430442
#>  [63,]  0.051728034  0.027152025  0.193306325  7.828900e-02 -0.1035457606
#>  [64,] -0.085877374  0.025543822 -0.003714571  4.745275e-02  0.0420867638
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#>  [67,] -0.159196975 -0.050437471 -0.027131559  3.420325e-02  0.2232788188
#>  [68,] -0.081384503  0.002710603  0.185054546  1.956911e-01  0.0107879965
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#>  [70,] -0.050393608 -0.060473276 -0.167185887 -1.218909e-01  0.0257257907
#>  [71,] -0.104197818 -0.002401424  0.125704724  1.820958e-01  0.0513808209
#>  [72,] -0.161331691 -0.052391013 -0.026280476  3.479673e-02  0.2315135183
#>  [73,]  0.018729856 -0.047555372 -0.169663999 -1.383672e-01 -0.0401668977
#>  [74,] -0.170184244 -0.069192128 -0.061861423 -3.846788e-04  0.2682076218
#>  [75,] -0.121364613 -0.010042768 -0.006047991  5.454418e-02  0.1091060761
#>  [76,]  0.106732087  0.060097003 -0.053243134 -5.911714e-02 -0.1082518160
#>  [77,]  0.272596577  0.017787302  0.038103235 -4.356110e-02 -0.1773435209
#>  [78,]  0.343343739  0.016789576 -0.037579262 -8.448490e-02 -0.1708446315
#>  [79,] -0.179515718 -0.089442976 -0.087781145 -2.696474e-02  0.2566589098
#>  [80,] -0.091563779 -0.047420138 -0.132899046 -8.097244e-02  0.0721816649
#>  [81,] -0.042147105  0.057982778 -0.030879823  3.913903e-03 -0.0108274868
#>  [82,] -0.067389532 -0.004157763  0.252921920  1.723849e-01 -0.0093554290
#>  [83,]  0.004933392  0.079502391  0.073926421  6.126545e-02 -0.0684679181
#>  [84,]  0.038308870  0.037108016 -0.087877183 -7.046032e-02 -0.0677723939
#>  [85,]  0.061104543 -0.033481337 -0.158617206 -1.370985e-01 -0.0727264918
#>  [86,] -0.061126427 -0.007823619  0.277887414  1.637093e-01 -0.0159168903
#>  [87,]  0.277695038  0.026168025 -0.001098214 -5.937918e-02 -0.1691333665
#>  [88,]  0.042585897  0.097369965 -0.025287871 -2.187707e-02 -0.0808895940
#>  [89,]  0.118646410  0.073127226  0.007523360 -2.265897e-02 -0.1227948297
#>  [90,] -0.019372567  0.062117037 -0.047818032 -1.950334e-02 -0.0305768979
#>  [91,]  0.011930795  0.112150102  0.022997006  2.446460e-02 -0.0683238649
#>  [92,]  0.021274185  0.022000546 -0.101271023 -7.788053e-02 -0.0543162839
#>  [93,] -0.020331453  0.083065907  0.047963084  5.983431e-02 -0.0449020912
#>  [94,] -0.107585428 -0.037478565 -0.105547005 -5.048814e-02  0.0982885391
#>  [95,]  0.046377701 -0.031696849 -0.156369149 -1.323352e-01 -0.0646442625
#>  [96,] -0.065600057 -0.013591876  0.277172202  1.627710e-01 -0.0091009073
#>  [97,]  0.001050855  0.050776701 -0.068884126 -4.429106e-02 -0.0442018832
#>  [98,] -0.150969616 -0.037364195  0.032538892  8.996770e-02  0.1765764495
#>  [99,] -0.023436793  0.027843971  0.197565054  1.326985e-01 -0.0525322858
#> [100,] -0.040038915  0.026097340  0.184825260  1.489838e-01 -0.0365784417
#>                [,36]        [,37]         [,38]         [,39]        [,40]
#>   [1,]  0.1536060775 -0.104947744 -0.0749980395  0.0396329766 -0.045314975
#>   [2,]  0.1858707740 -0.135183753 -0.0903590319  0.0124768672 -0.072683700
#>   [3,] -0.0604900029 -0.045024767  0.0650977147 -0.0056648237 -0.013602307
#>   [4,]  0.2130594637 -0.135531488 -0.1017452640  0.0094994996 -0.075731637
#>   [5,]  0.2287515388 -0.116394396 -0.1057047601  0.0140223347 -0.064999765
#>   [6,]  0.1322632095 -0.084364667 -0.1176806006 -0.0114812093 -0.060900238
#>   [7,] -0.1714365890  0.155875825  0.1019145645 -0.0580200580  0.034615824
#>   [8,] -0.0735086342 -0.034492537  0.0762720226 -0.0104531062 -0.010004321
#>   [9,] -0.0052975267 -0.078946685  0.0244018103  0.0049292225 -0.030955962
#>  [10,]  0.2541312979 -0.135636961 -0.1171748662  0.0007231814 -0.081471685
#>  [11,] -0.1629469736  0.137732049  0.1276934922 -0.0453990194  0.042730639
#>  [12,]  0.2432472005 -0.143615914 -0.1362148300 -0.0166970187 -0.095323952
#>  [13,] -0.1506138483  0.112705580  0.1494037678 -0.0321709255  0.048066928
#>  [14,] -0.1219557498  0.058212755  0.1608298218 -0.0085069405  0.047464545
#>  [15,] -0.0221808228  0.022271479 -0.0639870535 -0.0256096932 -0.008992759
#>  [16,]  0.0334389827 -0.026177481 -0.0906703417 -0.0183769052 -0.031207588
#>  [17,] -0.0266755305 -0.065333694  0.0398987409  0.0057297148 -0.021082083
#>  [18,] -0.1376152493  0.178356107  0.0493095483 -0.0461855551  0.041345032
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#>                [,41]        [,42]         [,43]         [,44]        [,45]
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#>  [94,]  0.1308971376  0.118112144  0.1034630753  0.0866874459  0.150542064
#>  [95,] -0.0302779032 -0.034921695  0.1130277430 -0.0423654335  0.128961194
#>  [96,] -0.0513101308 -0.033536797 -0.1236577038 -0.0229573546 -0.149650705
#>  [97,] -0.0324565101 -0.050656992  0.0711109698  0.0088911387  0.012075884
#>  [98,]  0.1306475095  0.150379934 -0.0330276143  0.1015679809 -0.006440618
#>  [99,] -0.0804836560 -0.081906576 -0.0983875200 -0.0285621292 -0.139670077
#> [100,] -0.0655110585 -0.065942850 -0.0928346290 -0.0155076941 -0.130474496
#>               [,46]        [,47]         [,48]        [,49]         [,50]
#>   [1,] -0.076111292 -0.133767639  0.0505387784  0.071301995  0.1692535858
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#>                [,51]        [,52]         [,53]        [,54]        [,55]
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#>  [81,]  0.0161394779  0.001379965 -0.0281189316  0.061078688  0.105223454
#>  [82,]  0.0559429600 -0.143590028 -0.1726764522  0.042877092 -0.014975817
#>  [83,]  0.1318435370 -0.069909941 -0.0959044080  0.045619578  0.026513083
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#>                [,56]         [,57]         [,58]         [,59]        [,60]
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#>               [,61]         [,62]        [,63]         [,64]         [,65]
#>   [1,] -0.062374592 -0.0144977783 -0.088283535  0.0707729899 -0.0658576516
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#>  [43,]  0.096936852  0.1326352096 -0.112301715  0.0064384981  0.0958251331
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#>  [45,]  0.150801804  0.2037657209 -0.164293024 -0.0160254946  0.1181343585
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#>  [58,]  0.343063776  0.2215527954 -0.113411490 -0.0706237133  0.3425355921
#>  [59,]  0.036407903 -0.0410526262  0.084699674 -0.0839604109  0.0409913487
#>  [60,] -0.131669846 -0.1424890726  0.232536263 -0.0172702287 -0.1184780566
#>  [61,]  0.451057791  0.2625341006 -0.132655626 -0.0739448714  0.3402689146
#>  [62,]  0.262534101  0.3190775171 -0.148781629 -0.0446030174  0.2324729965
#>  [63,] -0.132655626 -0.1487816295  0.290733355 -0.0290749373 -0.1194700543
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#>               [,91]        [,92]        [,93]        [,94]        [,95]
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#>  [13,]  0.049743830 -0.050928045  0.038974205 -0.129723435 -0.087300916
#>  [14,]  0.057740195 -0.065288930  0.063473439 -0.113525741 -0.114513002
#>  [15,] -0.024589134  0.132691225 -0.048211601  0.032811298  0.205170030
#>  [16,] -0.043128481  0.112051428 -0.058637514  0.086063263  0.185263829
#>  [17,] -0.003328276 -0.108778700  0.030929020 -0.067373309 -0.162856896
#>  [18,]  0.025631807  0.034556507 -0.007567431 -0.091804329  0.043336726
#>  [19,] -0.077711101  0.069271350 -0.087542817  0.121605736  0.182607508
#>  [20,] -0.062945558  0.075602432 -0.071162895  0.132552715  0.149050724
#>  [21,]  0.010828467  0.083138369 -0.022599060 -0.049584973  0.113471166
#>  [22,]  0.001373532 -0.116510050  0.031517208 -0.095218821 -0.172109681
#>  [23,]  0.049716644 -0.036672469  0.032253051 -0.126495762 -0.067346962
#>  [24,]  0.021027687 -0.006155668 -0.007367513 -0.126137252 -0.001181360
#>  [25,] -0.005421287  0.104569002 -0.036786501 -0.024697449  0.162212283
#>  [26,]  0.038798437 -0.043096295  0.021754628 -0.136865053 -0.068485388
#>  [27,]  0.043758526 -0.021382162  0.020240493 -0.123633766 -0.042722544
#>  [28,] -0.074162884  0.046028338 -0.075989370  0.161119585  0.107858480
#>  [29,]  0.016042424  0.031476813 -0.017022786 -0.097472358  0.052584858
#>  [30,] -0.066647581 -0.013613650 -0.052802634  0.152791972 -0.008762410
#>  [31,]  0.011930795  0.021274185 -0.020331453 -0.107585428  0.046377701
#>  [32,]  0.112150102  0.022000546  0.083065907 -0.037478565 -0.031696849
#>  [33,]  0.022997006 -0.101271023  0.047963084 -0.105547005 -0.156369149
#>  [34,]  0.024464601 -0.077880528  0.059834309 -0.050488143 -0.132335209
#>  [35,] -0.068323865 -0.054316284 -0.044902091  0.098288539 -0.064644262
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#>  [37,]  0.054365836  0.025752840  0.022006374 -0.086169519  0.004939509
#>  [38,]  0.081241857 -0.038415500  0.077234856 -0.096445602 -0.087059929
#>  [39,]  0.046478277  0.007629811  0.061413974  0.019255057 -0.044198253
#>  [40,]  0.114507505  0.019833560  0.080974060 -0.045631301 -0.032371535
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#>  [42,] -0.090610611 -0.050336221 -0.070167591  0.118112144 -0.034921695
#>  [43,] -0.026046817  0.105920426 -0.036603020  0.103463075  0.113027743
#>  [44,] -0.014210677 -0.009489992  0.004033708  0.086687446 -0.042365434
#>  [45,] -0.079783796  0.048858260 -0.083363593  0.150542064  0.128961194
#>  [46,] -0.024794172  0.112789715 -0.053493990 -0.001123873  0.218248870
#>  [47,]  0.037097627 -0.033341236  0.016377397 -0.133932072 -0.053615468
#>  [48,] -0.002080845 -0.089655234  0.033842723 -0.033105686 -0.140692577
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#>  [50,] -0.027139044 -0.021166990 -0.007053506  0.092838290 -0.049468713
#>  [51,]  0.096855744 -0.025876176  0.091269617 -0.080538764 -0.076763320
#>  [52,] -0.037350130  0.123545522 -0.057740899  0.055266990  0.220525372
#>  [53,] -0.063269839  0.096326532 -0.085778648  0.046465281  0.280370540
#>  [54,]  0.040751146 -0.022346527  0.068849933  0.004400869 -0.074191411
#>  [55,]  0.043590412  0.023760846  0.051305271  0.028563108 -0.027582098
#>  [56,]  0.092503318 -0.013801786  0.124347356 -0.036202354 -0.069440991
#>  [57,]  0.058504411 -0.067353315  0.070307685 -0.105468847 -0.119148918
#>  [58,] -0.048037199  0.101625667 -0.074926019  0.014652687  0.269639278
#>  [59,]  0.019469483  0.001704803 -0.010282603 -0.120905689  0.010878032
#>  [60,]  0.054213311 -0.070305510  0.063062914 -0.113432660 -0.120587922
#>  [61,] -0.063049128  0.092840808 -0.087984214  0.031825454  0.276381621
#>  [62,] -0.065044570  0.093765340 -0.081614876  0.083601166  0.237124676
#>  [63,]  0.046004802 -0.076005163  0.052099730 -0.124745700 -0.123842998
#>  [64,]  0.025663466 -0.006931019  0.046303079  0.034033664 -0.054613701
#>  [65,] -0.050612070  0.102708096 -0.076364717  0.022620750  0.278008448
#>  [66,]  0.063988717  0.068575877  0.042985984 -0.002967628  0.013477264
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#>  [68,]  0.019608563 -0.088826615  0.053710580 -0.064376544 -0.143819320
#>  [69,] -0.064049932 -0.044327816 -0.042562501  0.107809397 -0.054819577
#>  [70,] -0.075430070  0.073053187 -0.086031654  0.117889203  0.187305202
#>  [71,]  0.010890000 -0.078574798  0.046808172 -0.032729730 -0.130773919
#>  [72,] -0.052075025 -0.050962813 -0.027509407  0.085740474 -0.072004180
#>  [73,] -0.063743643  0.097144585 -0.083505341  0.063711007  0.267806419
#>  [74,] -0.071734051 -0.043491898 -0.051325190  0.115936931 -0.047060660
#>  [75,] -0.008981496 -0.029195391  0.015358145  0.058063520 -0.067647459
#>  [76,]  0.048278789  0.076914700  0.015174810 -0.042286210  0.050106454
#>  [77,]  0.023213710 -0.023696325 -0.001326654 -0.137096433 -0.026780582
#>  [78,]  0.013483723  0.024570254 -0.019071748 -0.104240455  0.047920995
#>  [79,] -0.093976725 -0.040053235 -0.076349456  0.129583057 -0.014714738
#>  [80,] -0.059762416  0.053691850 -0.061493480  0.168605194  0.092353983
#>  [81,]  0.049549569  0.037653307  0.050003863  0.024164253 -0.015322488
#>  [82,]  0.014528727 -0.102791600  0.045193153 -0.087676873 -0.158408913
#>  [83,]  0.099612526 -0.026759997  0.108345284 -0.067778431 -0.080509626
#>  [84,]  0.020930731  0.138749403 -0.003401841  0.013290925  0.091067437
#>  [85,] -0.049582805  0.107243752 -0.073834198  0.032383243  0.287740259
#>  [86,]  0.011325862 -0.108447874  0.040488793 -0.096319809 -0.164097291
#>  [87,]  0.027327775  0.001635204 -0.002182796 -0.117483840  0.001653663
#>  [88,]  0.083115252  0.051913295  0.052078622 -0.033062747  0.002080506
#>  [89,]  0.074202792  0.016159811  0.043079422 -0.081892554 -0.018268572
#>  [90,]  0.048705970  0.065749054  0.037670719  0.021452940  0.011056183
#>  [91,]  0.132262284  0.005806216  0.098202724 -0.047349994 -0.047888585
#>  [92,]  0.005806216  0.166701896 -0.015404328  0.033945113  0.111050193
#>  [93,]  0.098202724 -0.015404328  0.134126293 -0.042883546 -0.070890520
#>  [94,] -0.047349994  0.033945113 -0.042883546  0.203582092  0.040434109
#>  [95,] -0.047888585  0.111050193 -0.070890520  0.040434109  0.295841274
#>  [96,]  0.005488174 -0.113635816  0.034993161 -0.097219828 -0.169283671
#>  [97,]  0.035112002  0.101807959  0.017274565  0.024217514  0.046345476
#>  [98,] -0.032126147 -0.067470203 -0.001309565  0.039983033 -0.103188131
#>  [99,]  0.047735852 -0.077071916  0.071378422 -0.092695851 -0.131903328
#> [100,]  0.045318559 -0.076046046  0.073475050 -0.081955519 -0.131536927
#>                [,96]         [,97]         [,98]         [,99]       [,100]
#>   [1,] -0.0238898647 -0.0123303165  0.1352703539 -0.0426478725 -0.028221263
#>   [2,]  0.0105457599 -0.0473529086  0.1954995473 -0.0386937030 -0.022480061
#>   [3,]  0.3421016358 -0.0796320019  0.0758246056  0.1704568294  0.169267293
#>   [4,] -0.0211468115 -0.0399300323  0.1637657176 -0.0592676937 -0.043591033
#>   [5,] -0.0696156361 -0.0104111317  0.0967113595 -0.0836651305 -0.070109440
#>   [6,] -0.1365508796  0.0225417562 -0.0008346515 -0.1254947539 -0.116375252
#>   [7,]  0.0136795494 -0.0271359075 -0.1300331403  0.0423490224  0.020045505
#>   [8,]  0.3518027469 -0.0805729083  0.0605254017  0.1789224013  0.172922543
#>   [9,]  0.2685296589 -0.0787780522  0.1404700646  0.1270035037  0.135757001
#>  [10,] -0.0578924983 -0.0311893211  0.1235938052 -0.0855579260 -0.070741270
#>  [11,]  0.0483362460 -0.0315316676 -0.1073960016  0.0748056878  0.051468600
#>  [12,] -0.0801705715 -0.0343702163  0.1037926007 -0.1085798777 -0.093934069
#>  [13,]  0.0811763184 -0.0342234579 -0.0833337708  0.1064682976  0.082268245
#>  [14,]  0.1312263016 -0.0388052857 -0.0369272361  0.1618316540  0.136750786
#>  [15,] -0.1470308398  0.0678386498 -0.0940125797 -0.1087534933 -0.108788598
#>  [16,] -0.1506941057  0.0572887748 -0.0623481369 -0.1213447755 -0.117381292
#>  [17,]  0.2773733424 -0.0752544413  0.1146131722  0.1435677694  0.151191713
#>  [18,] -0.0676815035  0.0178047920 -0.1353454257 -0.0222624276 -0.036221670
#>  [19,] -0.1676885257  0.0208334432 -0.0416767720 -0.1482799469 -0.141403260
#>  [20,] -0.1503848825  0.0336025457 -0.0305015833 -0.1313328337 -0.124194827
#>  [21,] -0.1090790167  0.0473283645 -0.1282329562 -0.0623536702 -0.070751490
#>  [22,]  0.3535925109 -0.0829283326  0.0759244992  0.1702418494  0.167342348
#>  [23,]  0.0461055090 -0.0245726399 -0.0980718963  0.0786255318  0.056571138
#>  [24,] -0.0254873734 -0.0148254098 -0.1426450402  0.0106250596 -0.009150501
#>  [25,] -0.1310428544  0.0547704038 -0.1243976782 -0.0856702204 -0.091369018
#>  [26,]  0.0528276878 -0.0334298636 -0.1069824550  0.0774020151  0.053678284
#>  [27,]  0.0127069819 -0.0160524471 -0.1143261488  0.0491414291  0.028852919
#>  [28,] -0.1393967648  0.0144527643  0.0036924500 -0.1309588144 -0.121350243
#>  [29,] -0.0727241331  0.0107410593 -0.1450365844 -0.0282980724 -0.043213881
#>  [30,] -0.0697475632 -0.0149095759  0.1004133679 -0.0861457495 -0.072354773
#>  [31,] -0.0656000568  0.0010508550 -0.1509696158 -0.0234367935 -0.040038915
#>  [32,] -0.0135918760  0.0507767005 -0.0373641945  0.0278439708  0.026097340
#>  [33,]  0.2771722025 -0.0688841257  0.0325388919  0.1975650540  0.184825260
#>  [34,]  0.1627710390 -0.0442910646  0.0899676999  0.1326984541  0.148983772
#>  [35,] -0.0091009073 -0.0442018832  0.1765764495 -0.0525322858 -0.036578442
#>  [36,] -0.0678126085 -0.0199391048  0.1063086239 -0.0872523411 -0.073161894
#>  [37,] -0.0394654221  0.0248012944 -0.1091754285  0.0068299348 -0.006095809
#>  [38,]  0.0711392307 -0.0132744270 -0.0468416829  0.1165053919  0.100132556
#>  [39,] -0.0082537748  0.0391577032  0.0340799526  0.0109164788  0.019472118
#>  [40,] -0.0116317907  0.0464200200 -0.0447042086  0.0316428228  0.028228473
#>  [41,] -0.0513101308 -0.0324565101  0.1306475095 -0.0804836560 -0.065511058
#>  [42,] -0.0335367974 -0.0506569919  0.1503799337 -0.0819065761 -0.065942850
#>  [43,] -0.1236577038  0.0711109698 -0.0330276143 -0.0983875200 -0.092834629
#>  [44,] -0.0229573546  0.0088911387  0.1015679809 -0.0285621292 -0.015507694
#>  [45,] -0.1496507045  0.0120758843 -0.0064406176 -0.1396700767 -0.130474496
#>  [46,] -0.1515231719  0.0524573031 -0.1211712868 -0.1082953695 -0.111731446
#>  [47,]  0.0301983126 -0.0273339604 -0.1160429103  0.0596835090  0.037249402
#>  [48,]  0.1791836289 -0.0574011306  0.1475172206  0.1042336989  0.119349965
#>  [49,]  0.0922370640 -0.0286733995  0.1355245723  0.0653520405  0.081453105
#>  [50,] -0.0190985595 -0.0046577215  0.1255886788 -0.0330574806 -0.019024581
#>  [51,]  0.0507760195  0.0009779673 -0.0391814228  0.0976254834  0.087298868
#>  [52,] -0.1546997317  0.0604860727 -0.0843925717 -0.1199002169 -0.118198321
#>  [53,] -0.1836866961  0.0319776188 -0.1069994431 -0.1471330886 -0.146421268
#>  [54,]  0.0319356881  0.0096851917  0.0659492788  0.0410345885  0.052595696
#>  [55,] -0.0262888778  0.0544315241  0.0213324663 -0.0043864063  0.003141643
#>  [56,]  0.0319206276  0.0193864395  0.0050021507  0.0656372985  0.069227359
#>  [57,]  0.1408615224 -0.0386108344 -0.0209592294  0.1780543534  0.153533273
#>  [58,] -0.1739385507  0.0374490408 -0.1245060661 -0.1323435125 -0.134540722
#>  [59,] -0.0375848676 -0.0097635711 -0.1448596649  0.0008483112 -0.017918011
#>  [60,]  0.1466343241 -0.0428165098 -0.0294591063  0.1735065554  0.147337720
#>  [61,] -0.1869750324  0.0279480477 -0.1197687970 -0.1475650022 -0.148407737
#>  [62,] -0.1737059563  0.0351880127 -0.0756065118 -0.1443552320 -0.140553604
#>  [63,]  0.1616566426 -0.0502622296 -0.0386474527  0.1679059314  0.140702648
#>  [64,]  0.0009743413  0.0217926781  0.0676540765  0.0087239645  0.020028075
#>  [65,] -0.1754957446  0.0380069131 -0.1195205018 -0.1351278757 -0.136505691
#>  [66,] -0.0560182114  0.0982366135 -0.0426610014 -0.0181690474 -0.017588659
#>  [67,]  0.0011533925 -0.0338237036  0.1822423260 -0.0347446007 -0.019024228
#>  [68,]  0.2046677943 -0.0551176086  0.0848623535  0.1532320953  0.166650733
#>  [69,] -0.0234444600 -0.0351826983  0.1593999401 -0.0575880845 -0.042116043
#>  [70,] -0.1679439872  0.0235775674 -0.0456945589 -0.1471845138 -0.140663934
#>  [71,]  0.1512238105 -0.0458705128  0.1249682885  0.1051136145  0.121403235
#>  [72,]  0.0030111445 -0.0360189717  0.1858113948 -0.0348744006 -0.019057446
#>  [73,] -0.1792088123  0.0347112251 -0.0923724577 -0.1459295284 -0.143696573
#>  [74,] -0.0331173355 -0.0375596933  0.1510057311 -0.0680030008 -0.052561795
#>  [75,]  0.0101253622 -0.0058102964  0.1310482372 -0.0036507007  0.010679198
#>  [76,] -0.0751849235  0.0680217709 -0.0950077766 -0.0294326113 -0.035795238
#>  [77,]  0.0059977817 -0.0266157294 -0.1359884891  0.0345187648  0.012320915
#>  [78,] -0.0681477970  0.0043139088 -0.1488904916 -0.0250785566 -0.041084608
#>  [79,] -0.0551435867 -0.0452111398  0.1304213650 -0.0957069834 -0.080178533
#>  [80,] -0.1278808472  0.0270606947  0.0052591216 -0.1170396923 -0.107793678
#>  [81,] -0.0366595398  0.0694928596  0.0037419487 -0.0100580336 -0.004192796
#>  [82,]  0.2799869254 -0.0692378919  0.0662088595  0.1782585468  0.179592401
#>  [83,]  0.0542933569  0.0033327396 -0.0198476406  0.0986450290  0.093803534
#>  [84,] -0.1025204094  0.1060139721 -0.0725970707 -0.0632780922 -0.063732136
#>  [85,] -0.1727085942  0.0423507059 -0.1107989337 -0.1339808809 -0.134363093
#>  [86,]  0.3188367561 -0.0750799674  0.0600417599  0.1812027541  0.177517433
#>  [87,] -0.0325047291 -0.0061731378 -0.1369136663  0.0074057118 -0.010809644
#>  [88,] -0.0436388235  0.0721488721 -0.0596071321 -0.0005608264 -0.003790083
#>  [89,] -0.0191842629  0.0256146734 -0.0901789316  0.0275500716  0.015562270
#>  [90,] -0.0570388786  0.0988797353 -0.0220164282 -0.0250124109 -0.021479997
#>  [91,]  0.0054881741  0.0351120024 -0.0321261469  0.0477358517  0.045318559
#>  [92,] -0.1136358157  0.1018079594 -0.0674702031 -0.0770719155 -0.076046046
#>  [93,]  0.0349931608  0.0172745654 -0.0013095655  0.0713784219  0.073475050
#>  [94,] -0.0972198279  0.0242175143  0.0399830331 -0.0926958506 -0.081955519
#>  [95,] -0.1692836709  0.0463454758 -0.1031881308 -0.1319033280 -0.131536927
#>  [96,]  0.3590042874 -0.0801693924  0.0671545555  0.1753906489  0.171652003
#>  [97,] -0.0801693924  0.1355293770 -0.0436925149 -0.0451337383 -0.043159783
#>  [98,]  0.0671545555 -0.0436925149  0.2528322293  0.0149712384  0.031416710
#>  [99,]  0.1753906489 -0.0451337383  0.0149712384  0.2223203210  0.195027358
#> [100,]  0.1716520031 -0.0431597833  0.0314167099  0.1950273585  0.211512819