Applies a fast transform created by fort() (x) to the columns of a conformable matrix (y),
typically equivalent to the use of the %*% operator, but using an unsafe method.
Arguments
- x
An object of class
FastTransform, created usingfort().- y
A numeric (real) matrix/vector with an appropriate number of rows/elements.
Details
This operator works in a similar way to %*%, but avoids dispatching and does not perform any type of
validation of its inputs, in order to reduce overhead when performing repeated operations inside a
function on pre-validated inputs.
It is not recommended that this operator is used interactively and/or on non-validated inputs.
Examples
Z <- fort(4, 1024)
Z %*% matrix(1:2, 4, 3) # output is a 1024 by 3 matrix
#> [,1] [,2] [,3]
#> [1,] -0.1588201090 -0.1588201090 -0.1588201090
#> [2,] 0.0018908497 0.0018908497 0.0018908497
#> [3,] 0.0134793649 0.0134793649 0.0134793649
#> [4,] -0.2325801399 -0.2325801399 -0.2325801399
#> [5,] 0.0866168537 0.0866168537 0.0866168537
#> [6,] -0.0325525393 -0.0325525393 -0.0325525393
#> [7,] -0.1057682360 -0.1057682360 -0.1057682360
#> [8,] 0.1736666582 0.1736666582 0.1736666582
#> [9,] -0.0315222721 -0.0315222721 -0.0315222721
#> [10,] 0.0060364487 0.0060364487 0.0060364487
#> [11,] 0.1301627056 0.1301627056 0.1301627056
#> [12,] 0.0604436092 0.0604436092 0.0604436092
#> [13,] 0.2545451983 0.2545451983 0.2545451983
#> [14,] 0.0649175455 0.0649175455 0.0649175455
#> [15,] -0.0390873910 -0.0390873910 -0.0390873910
#> [16,] -0.0087269525 -0.0087269525 -0.0087269525
#> [17,] 0.1043249176 0.1043249176 0.1043249176
#> [18,] 0.1055851627 0.1055851627 0.1055851627
#> [19,] 0.1230001326 0.1230001326 0.1230001326
#> [20,] 0.2018004313 0.2018004313 0.2018004313
#> [21,] 0.1282745762 0.1282745762 0.1282745762
#> [22,] -0.0328640681 -0.0328640681 -0.0328640681
#> [23,] -0.0429447015 -0.0429447015 -0.0429447015
#> [24,] -0.0421310971 -0.0421310971 -0.0421310971
#> [25,] 0.0789729774 0.0789729774 0.0789729774
#> [26,] -0.0020662377 -0.0020662377 -0.0020662377
#> [27,] 0.1862794243 0.1862794243 0.1862794243
#> [28,] -0.1283297964 -0.1283297964 -0.1283297964
#> [29,] -0.0177358950 -0.0177358950 -0.0177358950
#> [30,] -0.0794072765 -0.0794072765 -0.0794072765
#> [31,] 0.0472487755 0.0472487755 0.0472487755
#> [32,] -0.0133127427 -0.0133127427 -0.0133127427
#> [33,] -0.1602350485 -0.1602350485 -0.1602350485
#> [34,] -0.0353366123 -0.0353366123 -0.0353366123
#> [35,] 0.0352263217 0.0352263217 0.0352263217
#> [36,] -0.0645168497 -0.0645168497 -0.0645168497
#> [37,] -0.0024833190 -0.0024833190 -0.0024833190
#> [38,] -0.0153048774 -0.0153048774 -0.0153048774
#> [39,] -0.1140984876 -0.1140984876 -0.1140984876
#> [40,] 0.1297120970 0.1297120970 0.1297120970
#> [41,] 0.0491389202 0.0491389202 0.0491389202
#> [42,] 0.0136791418 0.0136791418 0.0136791418
#> [43,] 0.0254270057 0.0254270057 0.0254270057
#> [44,] -0.0918150838 -0.0918150838 -0.0918150838
#> [45,] 0.1368338952 0.1368338952 0.1368338952
#> [46,] 0.0199753041 0.0199753041 0.0199753041
#> [47,] -0.0211844481 -0.0211844481 -0.0211844481
#> [48,] 0.0078575679 0.0078575679 0.0078575679
#> [49,] 0.0786701498 0.0786701498 0.0786701498
#> [50,] -0.0910177338 -0.0910177338 -0.0910177338
#> [51,] -0.0884789145 -0.0884789145 -0.0884789145
#> [52,] 0.0038245533 0.0038245533 0.0038245533
#> [53,] 0.0604650115 0.0604650115 0.0604650115
#> [54,] 0.0734424772 0.0734424772 0.0734424772
#> [55,] -0.1602016693 -0.1602016693 -0.1602016693
#> [56,] 0.0994535054 0.0994535054 0.0994535054
#> [57,] -0.0128511881 -0.0128511881 -0.0128511881
#> [58,] 0.0047615178 0.0047615178 0.0047615178
#> [59,] -0.1224899675 -0.1224899675 -0.1224899675
#> [60,] -0.1597586664 -0.1597586664 -0.1597586664
#> [61,] 0.0015616332 0.0015616332 0.0015616332
#> [62,] 0.0371350780 0.0371350780 0.0371350780
#> [63,] -0.1656848504 -0.1656848504 -0.1656848504
#> [64,] 0.0302397140 0.0302397140 0.0302397140
#> [65,] 0.0285666101 0.0285666101 0.0285666101
#> [66,] -0.1297111167 -0.1297111167 -0.1297111167
#> [67,] 0.0234051595 0.0234051595 0.0234051595
#> [68,] 0.0120905134 0.0120905134 0.0120905134
#> [69,] 0.1050289563 0.1050289563 0.1050289563
#> [70,] -0.0770281270 -0.0770281270 -0.0770281270
#> [71,] -0.1211142411 -0.1211142411 -0.1211142411
#> [72,] 0.2244197178 0.2244197178 0.2244197178
#> [73,] -0.0117235955 -0.0117235955 -0.0117235955
#> [74,] 0.0204127053 0.0204127053 0.0204127053
#> [75,] 0.0326049228 0.0326049228 0.0326049228
#> [76,] -0.0667598063 -0.0667598063 -0.0667598063
#> [77,] 0.0466091322 0.0466091322 0.0466091322
#> [78,] 0.0741793375 0.0741793375 0.0741793375
#> [79,] -0.0583046739 -0.0583046739 -0.0583046739
#> [80,] 0.1003930619 0.1003930619 0.1003930619
#> [81,] -0.1790352548 -0.1790352548 -0.1790352548
#> [82,] 0.0888176156 0.0888176156 0.0888176156
#> [83,] 0.0582453321 0.0582453321 0.0582453321
#> [84,] -0.0072012001 -0.0072012001 -0.0072012001
#> [85,] -0.0024956674 -0.0024956674 -0.0024956674
#> [86,] 0.0261145973 0.0261145973 0.0261145973
#> [87,] -0.0636247016 -0.0636247016 -0.0636247016
#> [88,] -0.0735977852 -0.0735977852 -0.0735977852
#> [89,] -0.0236506424 -0.0236506424 -0.0236506424
#> [90,] 0.0382904143 0.0382904143 0.0382904143
#> [91,] -0.0503361620 -0.0503361620 -0.0503361620
#> [92,] 0.1349696538 0.1349696538 0.1349696538
#> [93,] -0.1899603086 -0.1899603086 -0.1899603086
#> [94,] 0.0594127766 0.0594127766 0.0594127766
#> [95,] -0.1423773158 -0.1423773158 -0.1423773158
#> [96,] 0.0015535868 0.0015535868 0.0015535868
#> [97,] -0.0663537327 -0.0663537327 -0.0663537327
#> [98,] 0.0097588778 0.0097588778 0.0097588778
#> [99,] -0.1693622398 -0.1693622398 -0.1693622398
#> [100,] -0.1473554712 -0.1473554712 -0.1473554712
#> [101,] 0.0533062482 0.0533062482 0.0533062482
#> [102,] -0.1106304849 -0.1106304849 -0.1106304849
#> [103,] -0.0311355748 -0.0311355748 -0.0311355748
#> [104,] 0.0857291057 0.0857291057 0.0857291057
#> [105,] -0.0229375578 -0.0229375578 -0.0229375578
#> [106,] -0.0056111706 -0.0056111706 -0.0056111706
#> [107,] -0.0365356284 -0.0365356284 -0.0365356284
#> [108,] 0.0526421530 0.0526421530 0.0526421530
#> [109,] 0.0983475603 0.0983475603 0.0983475603
#> [110,] 0.1547142458 0.1547142458 0.1547142458
#> [111,] 0.1074049903 0.1074049903 0.1074049903
#> [112,] 0.1547991156 0.1547991156 0.1547991156
#> [113,] -0.0352138474 -0.0352138474 -0.0352138474
#> [114,] 0.0739711605 0.0739711605 0.0739711605
#> [115,] 0.0326389537 0.0326389537 0.0326389537
#> [116,] -0.0527937664 -0.0527937664 -0.0527937664
#> [117,] 0.0843564766 0.0843564766 0.0843564766
#> [118,] -0.0085084772 -0.0085084772 -0.0085084772
#> [119,] 0.1294995161 0.1294995161 0.1294995161
#> [120,] -0.0649906155 -0.0649906155 -0.0649906155
#> [121,] 0.0203628790 0.0203628790 0.0203628790
#> [122,] 0.0847829729 0.0847829729 0.0847829729
#> [123,] -0.1161439966 -0.1161439966 -0.1161439966
#> [124,] 0.1773257105 0.1773257105 0.1773257105
#> [125,] 0.2633216254 0.2633216254 0.2633216254
#> [126,] -0.0306549273 -0.0306549273 -0.0306549273
#> [127,] 0.0148726502 0.0148726502 0.0148726502
#> [128,] -0.0634889540 -0.0634889540 -0.0634889540
#> [129,] 0.1323976698 0.1323976698 0.1323976698
#> [130,] -0.2787324656 -0.2787324656 -0.2787324656
#> [131,] -0.0500060545 -0.0500060545 -0.0500060545
#> [132,] 0.0361592529 0.0361592529 0.0361592529
#> [133,] -0.1476944493 -0.1476944493 -0.1476944493
#> [134,] -0.0635032984 -0.0635032984 -0.0635032984
#> [135,] -0.1153102189 -0.1153102189 -0.1153102189
#> [136,] 0.0949297040 0.0949297040 0.0949297040
#> [137,] 0.0553286530 0.0553286530 0.0553286530
#> [138,] 0.0585463527 0.0585463527 0.0585463527
#> [139,] -0.1555629708 -0.1555629708 -0.1555629708
#> [140,] 0.1009937413 0.1009937413 0.1009937413
#> [141,] 0.1688537927 0.1688537927 0.1688537927
#> [142,] 0.0205571621 0.0205571621 0.0205571621
#> [143,] -0.0637689971 -0.0637689971 -0.0637689971
#> [144,] -0.0419646473 -0.0419646473 -0.0419646473
#> [145,] -0.2496099670 -0.2496099670 -0.2496099670
#> [146,] 0.0241471909 0.0241471909 0.0241471909
#> [147,] 0.2070703501 0.2070703501 0.2070703501
#> [148,] 0.0674549150 0.0674549150 0.0674549150
#> [149,] 0.0951542011 0.0951542011 0.0951542011
#> [150,] 0.0778007324 0.0778007324 0.0778007324
#> [151,] -0.1260005864 -0.1260005864 -0.1260005864
#> [152,] -0.0189685964 -0.0189685964 -0.0189685964
#> [153,] -0.0159448079 -0.0159448079 -0.0159448079
#> [154,] -0.0388483102 -0.0388483102 -0.0388483102
#> [155,] -0.0937674219 -0.0937674219 -0.0937674219
#> [156,] 0.0246569908 0.0246569908 0.0246569908
#> [157,] -0.0279275885 -0.0279275885 -0.0279275885
#> [158,] 0.0388527972 0.0388527972 0.0388527972
#> [159,] 0.0131692931 0.0131692931 0.0131692931
#> [160,] 0.1124607090 0.1124607090 0.1124607090
#> [161,] -0.0368268735 -0.0368268735 -0.0368268735
#> [162,] -0.1046777514 -0.1046777514 -0.1046777514
#> [163,] 0.0580891253 0.0580891253 0.0580891253
#> [164,] -0.0376479645 -0.0376479645 -0.0376479645
#> [165,] -0.2689038069 -0.2689038069 -0.2689038069
#> [166,] 0.0605449435 0.0605449435 0.0605449435
#> [167,] 0.0372866485 0.0372866485 0.0372866485
#> [168,] 0.0191163707 0.0191163707 0.0191163707
#> [169,] 0.1273209220 0.1273209220 0.1273209220
#> [170,] -0.0988660324 -0.0988660324 -0.0988660324
#> [171,] -0.0773347888 -0.0773347888 -0.0773347888
#> [172,] 0.0148492838 0.0148492838 0.0148492838
#> [173,] -0.0514454636 -0.0514454636 -0.0514454636
#> [174,] 0.2129649521 0.2129649521 0.2129649521
#> [175,] -0.1279232257 -0.1279232257 -0.1279232257
#> [176,] 0.0504864383 0.0504864383 0.0504864383
#> [177,] -0.0766776596 -0.0766776596 -0.0766776596
#> [178,] 0.0243841573 0.0243841573 0.0243841573
#> [179,] -0.0221909049 -0.0221909049 -0.0221909049
#> [180,] -0.0091990684 -0.0091990684 -0.0091990684
#> [181,] 0.0614475967 0.0614475967 0.0614475967
#> [182,] -0.1507112496 -0.1507112496 -0.1507112496
#> [183,] 0.1443154388 0.1443154388 0.1443154388
#> [184,] -0.0425919350 -0.0425919350 -0.0425919350
#> [185,] -0.0305981201 -0.0305981201 -0.0305981201
#> [186,] 0.0230392305 0.0230392305 0.0230392305
#> [187,] 0.0180808403 0.0180808403 0.0180808403
#> [188,] 0.1027529369 0.1027529369 0.1027529369
#> [189,] 0.0165518362 0.0165518362 0.0165518362
#> [190,] -0.0570098909 -0.0570098909 -0.0570098909
#> [191,] -0.0425733894 -0.0425733894 -0.0425733894
#> [192,] 0.1621903752 0.1621903752 0.1621903752
#> [193,] 0.0716594758 0.0716594758 0.0716594758
#> [194,] -0.0498759375 -0.0498759375 -0.0498759375
#> [195,] -0.0385745123 -0.0385745123 -0.0385745123
#> [196,] 0.0529978635 0.0529978635 0.0529978635
#> [197,] 0.0623692699 0.0623692699 0.0623692699
#> [198,] 0.1413385461 0.1413385461 0.1413385461
#> [199,] 0.0886792156 0.0886792156 0.0886792156
#> [200,] 0.0830322892 0.0830322892 0.0830322892
#> [201,] -0.0718720677 -0.0718720677 -0.0718720677
#> [202,] -0.2037629947 -0.2037629947 -0.2037629947
#> [203,] 0.1722662183 0.1722662183 0.1722662183
#> [204,] 0.2250834610 0.2250834610 0.2250834610
#> [205,] -0.0287224297 -0.0287224297 -0.0287224297
#> [206,] 0.0473395842 0.0473395842 0.0473395842
#> [207,] -0.0566280785 -0.0566280785 -0.0566280785
#> [208,] 0.1699944373 0.1699944373 0.1699944373
#> [209,] -0.0579650812 -0.0579650812 -0.0579650812
#> [210,] 0.1312243674 0.1312243674 0.1312243674
#> [211,] 0.1645701888 0.1645701888 0.1645701888
#> [212,] 0.1116976140 0.1116976140 0.1116976140
#> [213,] 0.0084749206 0.0084749206 0.0084749206
#> [214,] 0.0424767928 0.0424767928 0.0424767928
#> [215,] -0.0503287848 -0.0503287848 -0.0503287848
#> [216,] 0.1031026067 0.1031026067 0.1031026067
#> [217,] 0.0777621929 0.0777621929 0.0777621929
#> [218,] 0.0212211062 0.0212211062 0.0212211062
#> [219,] 0.1310009706 0.1310009706 0.1310009706
#> [220,] -0.0212427293 -0.0212427293 -0.0212427293
#> [221,] 0.0364927441 0.0364927441 0.0364927441
#> [222,] -0.0974941569 -0.0974941569 -0.0974941569
#> [223,] -0.1510630699 -0.1510630699 -0.1510630699
#> [224,] 0.1201451564 0.1201451564 0.1201451564
#> [225,] 0.0225176283 0.0225176283 0.0225176283
#> [226,] 0.1448382191 0.1448382191 0.1448382191
#> [227,] 0.0518466958 0.0518466958 0.0518466958
#> [228,] 0.0461212168 0.0461212168 0.0461212168
#> [229,] 0.0094085971 0.0094085971 0.0094085971
#> [230,] 0.0671203421 0.0671203421 0.0671203421
#> [231,] -0.0960804704 -0.0960804704 -0.0960804704
#> [232,] 0.2178256838 0.2178256838 0.2178256838
#> [233,] -0.1219902657 -0.1219902657 -0.1219902657
#> [234,] -0.0314346043 -0.0314346043 -0.0314346043
#> [235,] 0.1006297881 0.1006297881 0.1006297881
#> [236,] -0.1409204698 -0.1409204698 -0.1409204698
#> [237,] 0.1304305598 0.1304305598 0.1304305598
#> [238,] -0.0612080531 -0.0612080531 -0.0612080531
#> [239,] -0.1895743101 -0.1895743101 -0.1895743101
#> [240,] -0.1003741640 -0.1003741640 -0.1003741640
#> [241,] 0.1170223892 0.1170223892 0.1170223892
#> [242,] -0.0172946375 -0.0172946375 -0.0172946375
#> [243,] 0.0982244049 0.0982244049 0.0982244049
#> [244,] 0.0762298631 0.0762298631 0.0762298631
#> [245,] 0.1651816789 0.1651816789 0.1651816789
#> [246,] 0.2060201405 0.2060201405 0.2060201405
#> [247,] -0.1073185799 -0.1073185799 -0.1073185799
#> [248,] 0.1150947394 0.1150947394 0.1150947394
#> [249,] 0.0524857758 0.0524857758 0.0524857758
#> [250,] -0.0902704180 -0.0902704180 -0.0902704180
#> [251,] 0.0767049908 0.0767049908 0.0767049908
#> [252,] 0.0336732977 0.0336732977 0.0336732977
#> [253,] -0.1252069012 -0.1252069012 -0.1252069012
#> [254,] -0.1092766479 -0.1092766479 -0.1092766479
#> [255,] 0.0784883806 0.0784883806 0.0784883806
#> [256,] -0.0175691196 -0.0175691196 -0.0175691196
#> [257,] 0.1749202545 0.1749202545 0.1749202545
#> [258,] 0.0523710854 0.0523710854 0.0523710854
#> [259,] 0.0533452733 0.0533452733 0.0533452733
#> [260,] 0.0588577383 0.0588577383 0.0588577383
#> [261,] 0.0062692342 0.0062692342 0.0062692342
#> [262,] 0.0601087987 0.0601087987 0.0601087987
#> [263,] 0.0419933958 0.0419933958 0.0419933958
#> [264,] 0.1674072038 0.1674072038 0.1674072038
#> [265,] -0.0181673579 -0.0181673579 -0.0181673579
#> [266,] 0.0395029530 0.0395029530 0.0395029530
#> [267,] -0.1562800606 -0.1562800606 -0.1562800606
#> [268,] 0.0791631273 0.0791631273 0.0791631273
#> [269,] 0.0081660019 0.0081660019 0.0081660019
#> [270,] -0.0323164143 -0.0323164143 -0.0323164143
#> [271,] 0.0268428855 0.0268428855 0.0268428855
#> [272,] -0.0245971549 -0.0245971549 -0.0245971549
#> [273,] 0.0937552308 0.0937552308 0.0937552308
#> [274,] -0.0103305169 -0.0103305169 -0.0103305169
#> [275,] 0.0519183012 0.0519183012 0.0519183012
#> [276,] 0.0296452452 0.0296452452 0.0296452452
#> [277,] 0.0102566909 0.0102566909 0.0102566909
#> [278,] 0.0667239981 0.0667239981 0.0667239981
#> [279,] 0.1335589682 0.1335589682 0.1335589682
#> [280,] 0.0529451710 0.0529451710 0.0529451710
#> [281,] 0.0673189586 0.0673189586 0.0673189586
#> [282,] -0.0178979084 -0.0178979084 -0.0178979084
#> [283,] 0.0003948219 0.0003948219 0.0003948219
#> [284,] 0.0321038663 0.0321038663 0.0321038663
#> [285,] -0.1516042503 -0.1516042503 -0.1516042503
#> [286,] -0.0565842943 -0.0565842943 -0.0565842943
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#> [618,] 0.2873520240 0.2873520240 0.2873520240
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#> [621,] 0.1078102306 0.1078102306 0.1078102306
#> [622,] 0.1353012931 0.1353012931 0.1353012931
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#> [643,] 0.0032476309 0.0032476309 0.0032476309
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#> [650,] 0.2135020180 0.2135020180 0.2135020180
#> [651,] 0.0465083543 0.0465083543 0.0465083543
#> [652,] 0.1841690930 0.1841690930 0.1841690930
#> [653,] -0.0375764888 -0.0375764888 -0.0375764888
#> [654,] -0.0425745453 -0.0425745453 -0.0425745453
#> [655,] -0.0702846682 -0.0702846682 -0.0702846682
#> [656,] 0.0793645655 0.0793645655 0.0793645655
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#> [659,] 0.0722190961 0.0722190961 0.0722190961
#> [660,] -0.1901172962 -0.1901172962 -0.1901172962
#> [661,] 0.1113482366 0.1113482366 0.1113482366
#> [662,] -0.1728619904 -0.1728619904 -0.1728619904
#> [663,] 0.1380699022 0.1380699022 0.1380699022
#> [664,] 0.1581918054 0.1581918054 0.1581918054
#> [665,] 0.0671891408 0.0671891408 0.0671891408
#> [666,] -0.0806273323 -0.0806273323 -0.0806273323
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#> [668,] 0.1987966872 0.1987966872 0.1987966872
#> [669,] -0.0773595879 -0.0773595879 -0.0773595879
#> [670,] 0.1075237026 0.1075237026 0.1075237026
#> [671,] -0.1213919732 -0.1213919732 -0.1213919732
#> [672,] 0.1869748364 0.1869748364 0.1869748364
#> [673,] 0.0261153346 0.0261153346 0.0261153346
#> [674,] -0.0204601024 -0.0204601024 -0.0204601024
#> [675,] 0.0422323164 0.0422323164 0.0422323164
#> [676,] -0.0473808305 -0.0473808305 -0.0473808305
#> [677,] 0.0216472651 0.0216472651 0.0216472651
#> [678,] -0.0824548864 -0.0824548864 -0.0824548864
#> [679,] -0.1485628090 -0.1485628090 -0.1485628090
#> [680,] -0.0621795144 -0.0621795144 -0.0621795144
#> [681,] -0.1858795711 -0.1858795711 -0.1858795711
#> [682,] 0.0835372681 0.0835372681 0.0835372681
#> [683,] 0.0492949431 0.0492949431 0.0492949431
#> [684,] -0.1634915787 -0.1634915787 -0.1634915787
#> [685,] -0.0046995692 -0.0046995692 -0.0046995692
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#> [687,] -0.0068247082 -0.0068247082 -0.0068247082
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#> [690,] -0.1032205940 -0.1032205940 -0.1032205940
#> [691,] 0.1071471175 0.1071471175 0.1071471175
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#> [693,] -0.1047892272 -0.1047892272 -0.1047892272
#> [694,] -0.0234870011 -0.0234870011 -0.0234870011
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#> [696,] 0.1137350143 0.1137350143 0.1137350143
#> [697,] 0.0331250487 0.0331250487 0.0331250487
#> [698,] 0.1333655707 0.1333655707 0.1333655707
#> [699,] -0.1471938034 -0.1471938034 -0.1471938034
#> [700,] -0.1328973567 -0.1328973567 -0.1328973567
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#> [703,] 0.1528745405 0.1528745405 0.1528745405
#> [704,] 0.0380305690 0.0380305690 0.0380305690
#> [705,] -0.0454111208 -0.0454111208 -0.0454111208
#> [706,] -0.0278372632 -0.0278372632 -0.0278372632
#> [707,] -0.1196189959 -0.1196189959 -0.1196189959
#> [708,] -0.1071525860 -0.1071525860 -0.1071525860
#> [709,] 0.1894503073 0.1894503073 0.1894503073
#> [710,] 0.0972377781 0.0972377781 0.0972377781
#> [711,] 0.0613389143 0.0613389143 0.0613389143
#> [712,] 0.0834516128 0.0834516128 0.0834516128
#> [713,] -0.2652067424 -0.2652067424 -0.2652067424
#> [714,] 0.0846433458 0.0846433458 0.0846433458
#> [715,] 0.0015710198 0.0015710198 0.0015710198
#> [716,] -0.0524652820 -0.0524652820 -0.0524652820
#> [717,] 0.0772948334 0.0772948334 0.0772948334
#> [718,] -0.0589743214 -0.0589743214 -0.0589743214
#> [719,] 0.0603581262 0.0603581262 0.0603581262
#> [720,] -0.2417460473 -0.2417460473 -0.2417460473
#> [721,] -0.0120987951 -0.0120987951 -0.0120987951
#> [722,] -0.0341576426 -0.0341576426 -0.0341576426
#> [723,] -0.0174429152 -0.0174429152 -0.0174429152
#> [724,] 0.1028057574 0.1028057574 0.1028057574
#> [725,] 0.1401480287 0.1401480287 0.1401480287
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#> [728,] -0.0928660727 -0.0928660727 -0.0928660727
#> [729,] 0.0888588729 0.0888588729 0.0888588729
#> [730,] 0.1011295055 0.1011295055 0.1011295055
#> [731,] -0.0376277968 -0.0376277968 -0.0376277968
#> [732,] 0.0008540750 0.0008540750 0.0008540750
#> [733,] -0.0289703468 -0.0289703468 -0.0289703468
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#> [735,] -0.0841411647 -0.0841411647 -0.0841411647
#> [736,] -0.0356352900 -0.0356352900 -0.0356352900
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#> [738,] 0.0008026772 0.0008026772 0.0008026772
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#> [744,] -0.0784275893 -0.0784275893 -0.0784275893
#> [745,] -0.0710441931 -0.0710441931 -0.0710441931
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#> [750,] 0.0613302327 0.0613302327 0.0613302327
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#> [752,] -0.0555465822 -0.0555465822 -0.0555465822
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#> [754,] 0.0414944512 0.0414944512 0.0414944512
#> [755,] 0.0708431319 0.0708431319 0.0708431319
#> [756,] 0.0412170861 0.0412170861 0.0412170861
#> [757,] 0.0812916051 0.0812916051 0.0812916051
#> [758,] 0.0174363010 0.0174363010 0.0174363010
#> [759,] 0.0317111646 0.0317111646 0.0317111646
#> [760,] -0.0177778326 -0.0177778326 -0.0177778326
#> [761,] 0.0123454528 0.0123454528 0.0123454528
#> [762,] -0.0117545158 -0.0117545158 -0.0117545158
#> [763,] -0.0791968673 -0.0791968673 -0.0791968673
#> [764,] 0.0555473245 0.0555473245 0.0555473245
#> [765,] 0.0849598804 0.0849598804 0.0849598804
#> [766,] 0.1717210282 0.1717210282 0.1717210282
#> [767,] -0.2480168371 -0.2480168371 -0.2480168371
#> [768,] 0.0160091032 0.0160091032 0.0160091032
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#> [770,] 0.1695921833 0.1695921833 0.1695921833
#> [771,] -0.1569163099 -0.1569163099 -0.1569163099
#> [772,] 0.0794592146 0.0794592146 0.0794592146
#> [773,] -0.0831745782 -0.0831745782 -0.0831745782
#> [774,] 0.0912345467 0.0912345467 0.0912345467
#> [775,] 0.0615337082 0.0615337082 0.0615337082
#> [776,] -0.0559343292 -0.0559343292 -0.0559343292
#> [777,] 0.0297282587 0.0297282587 0.0297282587
#> [778,] 0.0569021458 0.0569021458 0.0569021458
#> [779,] 0.1010205495 0.1010205495 0.1010205495
#> [780,] 0.0356968765 0.0356968765 0.0356968765
#> [781,] 0.0376440216 0.0376440216 0.0376440216
#> [782,] -0.0918963632 -0.0918963632 -0.0918963632
#> [783,] 0.0175547941 0.0175547941 0.0175547941
#> [784,] 0.0297629327 0.0297629327 0.0297629327
#> [785,] 0.0981675654 0.0981675654 0.0981675654
#> [786,] 0.0170173031 0.0170173031 0.0170173031
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#> [788,] 0.1961631406 0.1961631406 0.1961631406
#> [789,] -0.0686716972 -0.0686716972 -0.0686716972
#> [790,] 0.0031961260 0.0031961260 0.0031961260
#> [791,] 0.1251018677 0.1251018677 0.1251018677
#> [792,] -0.0245787747 -0.0245787747 -0.0245787747
#> [793,] -0.0676291121 -0.0676291121 -0.0676291121
#> [794,] -0.1570356522 -0.1570356522 -0.1570356522
#> [795,] 0.1391353572 0.1391353572 0.1391353572
#> [796,] -0.1742604786 -0.1742604786 -0.1742604786
#> [797,] -0.1461597829 -0.1461597829 -0.1461597829
#> [798,] -0.1093936590 -0.1093936590 -0.1093936590
#> [799,] -0.0896183600 -0.0896183600 -0.0896183600
#> [800,] 0.0680689830 0.0680689830 0.0680689830
#> [801,] 0.0256872730 0.0256872730 0.0256872730
#> [802,] 0.1469432294 0.1469432294 0.1469432294
#> [803,] 0.0779012499 0.0779012499 0.0779012499
#> [804,] -0.0497059207 -0.0497059207 -0.0497059207
#> [805,] 0.1002104961 0.1002104961 0.1002104961
#> [806,] 0.1369388856 0.1369388856 0.1369388856
#> [807,] 0.0198007343 0.0198007343 0.0198007343
#> [808,] 0.0189959515 0.0189959515 0.0189959515
#> [809,] 0.0127285874 0.0127285874 0.0127285874
#> [810,] -0.0463042276 -0.0463042276 -0.0463042276
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#> [812,] 0.0171773864 0.0171773864 0.0171773864
#> [813,] 0.0124800733 0.0124800733 0.0124800733
#> [814,] -0.2156052947 -0.2156052947 -0.2156052947
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#> [816,] -0.1193390972 -0.1193390972 -0.1193390972
#> [817,] 0.0584224687 0.0584224687 0.0584224687
#> [818,] -0.0084476242 -0.0084476242 -0.0084476242
#> [819,] -0.0206359715 -0.0206359715 -0.0206359715
#> [820,] 0.0704033104 0.0704033104 0.0704033104
#> [821,] 0.0185613139 0.0185613139 0.0185613139
#> [822,] 0.0193888166 0.0193888166 0.0193888166
#> [823,] -0.0910238719 -0.0910238719 -0.0910238719
#> [824,] -0.1800250784 -0.1800250784 -0.1800250784
#> [825,] -0.0022470437 -0.0022470437 -0.0022470437
#> [826,] 0.1063652796 0.1063652796 0.1063652796
#> [827,] 0.0312498231 0.0312498231 0.0312498231
#> [828,] -0.0547884802 -0.0547884802 -0.0547884802
#> [829,] 0.0457596871 0.0457596871 0.0457596871
#> [830,] 0.0348156268 0.0348156268 0.0348156268
#> [831,] 0.1015033234 0.1015033234 0.1015033234
#> [832,] 0.1105749367 0.1105749367 0.1105749367
#> [833,] 0.0908642815 0.0908642815 0.0908642815
#> [834,] 0.0157442129 0.0157442129 0.0157442129
#> [835,] 0.0373477285 0.0373477285 0.0373477285
#> [836,] 0.0097542489 0.0097542489 0.0097542489
#> [837,] 0.0559166670 0.0559166670 0.0559166670
#> [838,] -0.1101009544 -0.1101009544 -0.1101009544
#> [839,] 0.0023632637 0.0023632637 0.0023632637
#> [840,] -0.1196735718 -0.1196735718 -0.1196735718
#> [841,] 0.0134827191 0.0134827191 0.0134827191
#> [842,] -0.1788780459 -0.1788780459 -0.1788780459
#> [843,] 0.0318730265 0.0318730265 0.0318730265
#> [844,] -0.0631672526 -0.0631672526 -0.0631672526
#> [845,] 0.0719820735 0.0719820735 0.0719820735
#> [846,] -0.0754007916 -0.0754007916 -0.0754007916
#> [847,] 0.1349797600 0.1349797600 0.1349797600
#> [848,] -0.0677079484 -0.0677079484 -0.0677079484
#> [849,] 0.1422865737 0.1422865737 0.1422865737
#> [850,] -0.1535611943 -0.1535611943 -0.1535611943
#> [851,] -0.0126424696 -0.0126424696 -0.0126424696
#> [852,] 0.1105684700 0.1105684700 0.1105684700
#> [853,] 0.0524710939 0.0524710939 0.0524710939
#> [854,] 0.0223739074 0.0223739074 0.0223739074
#> [855,] -0.1421127076 -0.1421127076 -0.1421127076
#> [856,] -0.0775734197 -0.0775734197 -0.0775734197
#> [857,] 0.1206875193 0.1206875193 0.1206875193
#> [858,] -0.0053483156 -0.0053483156 -0.0053483156
#> [859,] 0.0101486013 0.0101486013 0.0101486013
#> [860,] -0.0475459171 -0.0475459171 -0.0475459171
#> [861,] -0.0526237828 -0.0526237828 -0.0526237828
#> [862,] 0.0987460270 0.0987460270 0.0987460270
#> [863,] 0.1328580978 0.1328580978 0.1328580978
#> [864,] 0.0512820302 0.0512820302 0.0512820302
#> [865,] 0.0897919016 0.0897919016 0.0897919016
#> [866,] -0.1604122092 -0.1604122092 -0.1604122092
#> [867,] 0.1411682923 0.1411682923 0.1411682923
#> [868,] -0.0948219996 -0.0948219996 -0.0948219996
#> [869,] -0.1713346693 -0.1713346693 -0.1713346693
#> [870,] 0.1093523994 0.1093523994 0.1093523994
#> [871,] 0.1113380485 0.1113380485 0.1113380485
#> [872,] -0.0553847786 -0.0553847786 -0.0553847786
#> [873,] 0.0977377274 0.0977377274 0.0977377274
#> [874,] -0.1061402846 -0.1061402846 -0.1061402846
#> [875,] -0.1178924364 -0.1178924364 -0.1178924364
#> [876,] 0.1742790714 0.1742790714 0.1742790714
#> [877,] -0.0397976813 -0.0397976813 -0.0397976813
#> [878,] -0.0771351942 -0.0771351942 -0.0771351942
#> [879,] -0.0215041159 -0.0215041159 -0.0215041159
#> [880,] -0.0582778885 -0.0582778885 -0.0582778885
#> [881,] -0.1465602063 -0.1465602063 -0.1465602063
#> [882,] -0.0780739456 -0.0780739456 -0.0780739456
#> [883,] 0.0735166183 0.0735166183 0.0735166183
#> [884,] 0.0830533608 0.0830533608 0.0830533608
#> [885,] 0.1601589436 0.1601589436 0.1601589436
#> [886,] -0.0629373070 -0.0629373070 -0.0629373070
#> [887,] -0.1106982045 -0.1106982045 -0.1106982045
#> [888,] -0.1010236435 -0.1010236435 -0.1010236435
#> [889,] 0.1446043119 0.1446043119 0.1446043119
#> [890,] -0.0884151374 -0.0884151374 -0.0884151374
#> [891,] -0.1819799963 -0.1819799963 -0.1819799963
#> [892,] 0.0534964201 0.0534964201 0.0534964201
#> [893,] -0.0561297048 -0.0561297048 -0.0561297048
#> [894,] 0.0119912440 0.0119912440 0.0119912440
#> [895,] 0.0515044939 0.0515044939 0.0515044939
#> [896,] 0.0239858822 0.0239858822 0.0239858822
#> [897,] 0.0579946753 0.0579946753 0.0579946753
#> [898,] 0.1675880786 0.1675880786 0.1675880786
#> [899,] 0.1817747366 0.1817747366 0.1817747366
#> [900,] -0.0287446749 -0.0287446749 -0.0287446749
#> [901,] 0.0659061575 0.0659061575 0.0659061575
#> [902,] 0.1176655577 0.1176655577 0.1176655577
#> [903,] 0.1427055762 0.1427055762 0.1427055762
#> [904,] 0.0473087700 0.0473087700 0.0473087700
#> [905,] -0.0251156853 -0.0251156853 -0.0251156853
#> [906,] 0.0813089896 0.0813089896 0.0813089896
#> [907,] -0.2499787701 -0.2499787701 -0.2499787701
#> [908,] 0.0479545548 0.0479545548 0.0479545548
#> [909,] 0.1506106310 0.1506106310 0.1506106310
#> [910,] 0.0162389751 0.0162389751 0.0162389751
#> [911,] -0.1492122317 -0.1492122317 -0.1492122317
#> [912,] -0.0389597058 -0.0389597058 -0.0389597058
#> [913,] -0.1057300183 -0.1057300183 -0.1057300183
#> [914,] 0.0667995686 0.0667995686 0.0667995686
#> [915,] -0.0538104681 -0.0538104681 -0.0538104681
#> [916,] -0.0145394235 -0.0145394235 -0.0145394235
#> [917,] 0.0945013147 0.0945013147 0.0945013147
#> [918,] 0.1483072310 0.1483072310 0.1483072310
#> [919,] -0.0230123441 -0.0230123441 -0.0230123441
#> [920,] -0.0650246335 -0.0650246335 -0.0650246335
#> [921,] 0.0832735005 0.0832735005 0.0832735005
#> [922,] -0.0563837960 -0.0563837960 -0.0563837960
#> [923,] 0.0904965017 0.0904965017 0.0904965017
#> [924,] 0.0024644848 0.0024644848 0.0024644848
#> [925,] -0.1303534943 -0.1303534943 -0.1303534943
#> [926,] 0.0512538310 0.0512538310 0.0512538310
#> [927,] -0.0521812225 -0.0521812225 -0.0521812225
#> [928,] -0.1665806981 -0.1665806981 -0.1665806981
#> [929,] 0.1660098026 0.1660098026 0.1660098026
#> [930,] -0.0330930482 -0.0330930482 -0.0330930482
#> [931,] 0.0597155015 0.0597155015 0.0597155015
#> [932,] 0.0142578208 0.0142578208 0.0142578208
#> [933,] 0.0128362009 0.0128362009 0.0128362009
#> [934,] 0.0466112605 0.0466112605 0.0466112605
#> [935,] 0.0714464142 0.0714464142 0.0714464142
#> [936,] -0.1213356840 -0.1213356840 -0.1213356840
#> [937,] 0.1190076761 0.1190076761 0.1190076761
#> [938,] 0.0781218577 0.0781218577 0.0781218577
#> [939,] 0.1388224976 0.1388224976 0.1388224976
#> [940,] 0.0223439340 0.0223439340 0.0223439340
#> [941,] -0.1159227884 -0.1159227884 -0.1159227884
#> [942,] 0.0002000841 0.0002000841 0.0002000841
#> [943,] -0.1290446181 -0.1290446181 -0.1290446181
#> [944,] 0.0320480117 0.0320480117 0.0320480117
#> [945,] -0.0949686584 -0.0949686584 -0.0949686584
#> [946,] 0.0593054228 0.0593054228 0.0593054228
#> [947,] -0.1007408695 -0.1007408695 -0.1007408695
#> [948,] 0.1921703163 0.1921703163 0.1921703163
#> [949,] -0.1768285083 -0.1768285083 -0.1768285083
#> [950,] 0.0100589881 0.0100589881 0.0100589881
#> [951,] -0.0439147025 -0.0439147025 -0.0439147025
#> [952,] -0.0064208543 -0.0064208543 -0.0064208543
#> [953,] 0.0279776847 0.0279776847 0.0279776847
#> [954,] 0.0817159868 0.0817159868 0.0817159868
#> [955,] -0.0825323404 -0.0825323404 -0.0825323404
#> [956,] -0.0548156723 -0.0548156723 -0.0548156723
#> [957,] 0.1435287669 0.1435287669 0.1435287669
#> [958,] -0.0455722025 -0.0455722025 -0.0455722025
#> [959,] 0.0271312394 0.0271312394 0.0271312394
#> [960,] -0.1233704952 -0.1233704952 -0.1233704952
#> [961,] -0.0869733101 -0.0869733101 -0.0869733101
#> [962,] 0.0936371293 0.0936371293 0.0936371293
#> [963,] -0.0035862189 -0.0035862189 -0.0035862189
#> [964,] -0.0467243287 -0.0467243287 -0.0467243287
#> [965,] -0.0168670218 -0.0168670218 -0.0168670218
#> [966,] 0.1384687561 0.1384687561 0.1384687561
#> [967,] -0.0624629445 -0.0624629445 -0.0624629445
#> [968,] 0.0663571694 0.0663571694 0.0663571694
#> [969,] -0.0239352263 -0.0239352263 -0.0239352263
#> [970,] -0.0753749999 -0.0753749999 -0.0753749999
#> [971,] -0.1758067484 -0.1758067484 -0.1758067484
#> [972,] 0.0102904947 0.0102904947 0.0102904947
#> [973,] -0.0333288576 -0.0333288576 -0.0333288576
#> [974,] 0.0441212325 0.0441212325 0.0441212325
#> [975,] -0.0843376418 -0.0843376418 -0.0843376418
#> [976,] 0.0415705123 0.0415705123 0.0415705123
#> [977,] -0.0076171467 -0.0076171467 -0.0076171467
#> [978,] 0.0596768550 0.0596768550 0.0596768550
#> [979,] 0.0159847031 0.0159847031 0.0159847031
#> [980,] 0.1882274836 0.1882274836 0.1882274836
#> [981,] -0.1064141554 -0.1064141554 -0.1064141554
#> [982,] -0.1140906125 -0.1140906125 -0.1140906125
#> [983,] -0.1370358625 -0.1370358625 -0.1370358625
#> [984,] -0.0638338370 -0.0638338370 -0.0638338370
#> [985,] 0.1092211263 0.1092211263 0.1092211263
#> [986,] 0.0117238969 0.0117238969 0.0117238969
#> [987,] 0.1608431408 0.1608431408 0.1608431408
#> [988,] -0.1268489129 -0.1268489129 -0.1268489129
#> [989,] 0.1196613214 0.1196613214 0.1196613214
#> [990,] -0.0471391090 -0.0471391090 -0.0471391090
#> [991,] -0.0025764118 -0.0025764118 -0.0025764118
#> [992,] -0.0590884370 -0.0590884370 -0.0590884370
#> [993,] 0.0292807365 0.0292807365 0.0292807365
#> [994,] 0.0244471873 0.0244471873 0.0244471873
#> [995,] 0.0628052149 0.0628052149 0.0628052149
#> [996,] 0.0076077172 0.0076077172 0.0076077172
#> [997,] -0.0559500113 -0.0559500113 -0.0559500113
#> [998,] 0.0234623208 0.0234623208 0.0234623208
#> [999,] -0.0233613793 -0.0233613793 -0.0233613793
#> [1000,] -0.0601353161 -0.0601353161 -0.0601353161
#> [1001,] -0.0578658835 -0.0578658835 -0.0578658835
#> [1002,] -0.0490611674 -0.0490611674 -0.0490611674
#> [1003,] 0.1891463913 0.1891463913 0.1891463913
#> [1004,] 0.0344471270 0.0344471270 0.0344471270
#> [1005,] -0.1359144356 -0.1359144356 -0.1359144356
#> [1006,] -0.0101359960 -0.0101359960 -0.0101359960
#> [1007,] 0.0760501823 0.0760501823 0.0760501823
#> [1008,] 0.0410187799 0.0410187799 0.0410187799
#> [1009,] 0.0137367371 0.0137367371 0.0137367371
#> [1010,] -0.0286991307 -0.0286991307 -0.0286991307
#> [1011,] -0.0225490942 -0.0225490942 -0.0225490942
#> [1012,] 0.0371477761 0.0371477761 0.0371477761
#> [1013,] -0.1062729430 -0.1062729430 -0.1062729430
#> [1014,] -0.1041303058 -0.1041303058 -0.1041303058
#> [1015,] 0.1308222064 0.1308222064 0.1308222064
#> [1016,] -0.0979408007 -0.0979408007 -0.0979408007
#> [1017,] -0.1473202872 -0.1473202872 -0.1473202872
#> [1018,] 0.0128170754 0.0128170754 0.0128170754
#> [1019,] -0.1937177090 -0.1937177090 -0.1937177090
#> [1020,] 0.1741931424 0.1741931424 0.1741931424
#> [1021,] 0.0082066586 0.0082066586 0.0082066586
#> [1022,] 0.0121049040 0.0121049040 0.0121049040
#> [1023,] 0.1605421198 0.1605421198 0.1605421198
#> [1024,] -0.0099802563 -0.0099802563 -0.0099802563
Z %***% matrix(1:2, 4, 3) # output is also a 1024 by 3 matrix
#> [,1] [,2] [,3]
#> [1,] -0.1588201090 -0.1588201090 -0.1588201090
#> [2,] 0.0018908497 0.0018908497 0.0018908497
#> [3,] 0.0134793649 0.0134793649 0.0134793649
#> [4,] -0.2325801399 -0.2325801399 -0.2325801399
#> [5,] 0.0866168537 0.0866168537 0.0866168537
#> [6,] -0.0325525393 -0.0325525393 -0.0325525393
#> [7,] -0.1057682360 -0.1057682360 -0.1057682360
#> [8,] 0.1736666582 0.1736666582 0.1736666582
#> [9,] -0.0315222721 -0.0315222721 -0.0315222721
#> [10,] 0.0060364487 0.0060364487 0.0060364487
#> [11,] 0.1301627056 0.1301627056 0.1301627056
#> [12,] 0.0604436092 0.0604436092 0.0604436092
#> [13,] 0.2545451983 0.2545451983 0.2545451983
#> [14,] 0.0649175455 0.0649175455 0.0649175455
#> [15,] -0.0390873910 -0.0390873910 -0.0390873910
#> [16,] -0.0087269525 -0.0087269525 -0.0087269525
#> [17,] 0.1043249176 0.1043249176 0.1043249176
#> [18,] 0.1055851627 0.1055851627 0.1055851627
#> [19,] 0.1230001326 0.1230001326 0.1230001326
#> [20,] 0.2018004313 0.2018004313 0.2018004313
#> [21,] 0.1282745762 0.1282745762 0.1282745762
#> [22,] -0.0328640681 -0.0328640681 -0.0328640681
#> [23,] -0.0429447015 -0.0429447015 -0.0429447015
#> [24,] -0.0421310971 -0.0421310971 -0.0421310971
#> [25,] 0.0789729774 0.0789729774 0.0789729774
#> [26,] -0.0020662377 -0.0020662377 -0.0020662377
#> [27,] 0.1862794243 0.1862794243 0.1862794243
#> [28,] -0.1283297964 -0.1283297964 -0.1283297964
#> [29,] -0.0177358950 -0.0177358950 -0.0177358950
#> [30,] -0.0794072765 -0.0794072765 -0.0794072765
#> [31,] 0.0472487755 0.0472487755 0.0472487755
#> [32,] -0.0133127427 -0.0133127427 -0.0133127427
#> [33,] -0.1602350485 -0.1602350485 -0.1602350485
#> [34,] -0.0353366123 -0.0353366123 -0.0353366123
#> [35,] 0.0352263217 0.0352263217 0.0352263217
#> [36,] -0.0645168497 -0.0645168497 -0.0645168497
#> [37,] -0.0024833190 -0.0024833190 -0.0024833190
#> [38,] -0.0153048774 -0.0153048774 -0.0153048774
#> [39,] -0.1140984876 -0.1140984876 -0.1140984876
#> [40,] 0.1297120970 0.1297120970 0.1297120970
#> [41,] 0.0491389202 0.0491389202 0.0491389202
#> [42,] 0.0136791418 0.0136791418 0.0136791418
#> [43,] 0.0254270057 0.0254270057 0.0254270057
#> [44,] -0.0918150838 -0.0918150838 -0.0918150838
#> [45,] 0.1368338952 0.1368338952 0.1368338952
#> [46,] 0.0199753041 0.0199753041 0.0199753041
#> [47,] -0.0211844481 -0.0211844481 -0.0211844481
#> [48,] 0.0078575679 0.0078575679 0.0078575679
#> [49,] 0.0786701498 0.0786701498 0.0786701498
#> [50,] -0.0910177338 -0.0910177338 -0.0910177338
#> [51,] -0.0884789145 -0.0884789145 -0.0884789145
#> [52,] 0.0038245533 0.0038245533 0.0038245533
#> [53,] 0.0604650115 0.0604650115 0.0604650115
#> [54,] 0.0734424772 0.0734424772 0.0734424772
#> [55,] -0.1602016693 -0.1602016693 -0.1602016693
#> [56,] 0.0994535054 0.0994535054 0.0994535054
#> [57,] -0.0128511881 -0.0128511881 -0.0128511881
#> [58,] 0.0047615178 0.0047615178 0.0047615178
#> [59,] -0.1224899675 -0.1224899675 -0.1224899675
#> [60,] -0.1597586664 -0.1597586664 -0.1597586664
#> [61,] 0.0015616332 0.0015616332 0.0015616332
#> [62,] 0.0371350780 0.0371350780 0.0371350780
#> [63,] -0.1656848504 -0.1656848504 -0.1656848504
#> [64,] 0.0302397140 0.0302397140 0.0302397140
#> [65,] 0.0285666101 0.0285666101 0.0285666101
#> [66,] -0.1297111167 -0.1297111167 -0.1297111167
#> [67,] 0.0234051595 0.0234051595 0.0234051595
#> [68,] 0.0120905134 0.0120905134 0.0120905134
#> [69,] 0.1050289563 0.1050289563 0.1050289563
#> [70,] -0.0770281270 -0.0770281270 -0.0770281270
#> [71,] -0.1211142411 -0.1211142411 -0.1211142411
#> [72,] 0.2244197178 0.2244197178 0.2244197178
#> [73,] -0.0117235955 -0.0117235955 -0.0117235955
#> [74,] 0.0204127053 0.0204127053 0.0204127053
#> [75,] 0.0326049228 0.0326049228 0.0326049228
#> [76,] -0.0667598063 -0.0667598063 -0.0667598063
#> [77,] 0.0466091322 0.0466091322 0.0466091322
#> [78,] 0.0741793375 0.0741793375 0.0741793375
#> [79,] -0.0583046739 -0.0583046739 -0.0583046739
#> [80,] 0.1003930619 0.1003930619 0.1003930619
#> [81,] -0.1790352548 -0.1790352548 -0.1790352548
#> [82,] 0.0888176156 0.0888176156 0.0888176156
#> [83,] 0.0582453321 0.0582453321 0.0582453321
#> [84,] -0.0072012001 -0.0072012001 -0.0072012001
#> [85,] -0.0024956674 -0.0024956674 -0.0024956674
#> [86,] 0.0261145973 0.0261145973 0.0261145973
#> [87,] -0.0636247016 -0.0636247016 -0.0636247016
#> [88,] -0.0735977852 -0.0735977852 -0.0735977852
#> [89,] -0.0236506424 -0.0236506424 -0.0236506424
#> [90,] 0.0382904143 0.0382904143 0.0382904143
#> [91,] -0.0503361620 -0.0503361620 -0.0503361620
#> [92,] 0.1349696538 0.1349696538 0.1349696538
#> [93,] -0.1899603086 -0.1899603086 -0.1899603086
#> [94,] 0.0594127766 0.0594127766 0.0594127766
#> [95,] -0.1423773158 -0.1423773158 -0.1423773158
#> [96,] 0.0015535868 0.0015535868 0.0015535868
#> [97,] -0.0663537327 -0.0663537327 -0.0663537327
#> [98,] 0.0097588778 0.0097588778 0.0097588778
#> [99,] -0.1693622398 -0.1693622398 -0.1693622398
#> [100,] -0.1473554712 -0.1473554712 -0.1473554712
#> [101,] 0.0533062482 0.0533062482 0.0533062482
#> [102,] -0.1106304849 -0.1106304849 -0.1106304849
#> [103,] -0.0311355748 -0.0311355748 -0.0311355748
#> [104,] 0.0857291057 0.0857291057 0.0857291057
#> [105,] -0.0229375578 -0.0229375578 -0.0229375578
#> [106,] -0.0056111706 -0.0056111706 -0.0056111706
#> [107,] -0.0365356284 -0.0365356284 -0.0365356284
#> [108,] 0.0526421530 0.0526421530 0.0526421530
#> [109,] 0.0983475603 0.0983475603 0.0983475603
#> [110,] 0.1547142458 0.1547142458 0.1547142458
#> [111,] 0.1074049903 0.1074049903 0.1074049903
#> [112,] 0.1547991156 0.1547991156 0.1547991156
#> [113,] -0.0352138474 -0.0352138474 -0.0352138474
#> [114,] 0.0739711605 0.0739711605 0.0739711605
#> [115,] 0.0326389537 0.0326389537 0.0326389537
#> [116,] -0.0527937664 -0.0527937664 -0.0527937664
#> [117,] 0.0843564766 0.0843564766 0.0843564766
#> [118,] -0.0085084772 -0.0085084772 -0.0085084772
#> [119,] 0.1294995161 0.1294995161 0.1294995161
#> [120,] -0.0649906155 -0.0649906155 -0.0649906155
#> [121,] 0.0203628790 0.0203628790 0.0203628790
#> [122,] 0.0847829729 0.0847829729 0.0847829729
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#> [187,] 0.0180808403 0.0180808403 0.0180808403
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#> [190,] -0.0570098909 -0.0570098909 -0.0570098909
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#> [217,] 0.0777621929 0.0777621929 0.0777621929
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#> [222,] -0.0974941569 -0.0974941569 -0.0974941569
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#> [224,] 0.1201451564 0.1201451564 0.1201451564
#> [225,] 0.0225176283 0.0225176283 0.0225176283
#> [226,] 0.1448382191 0.1448382191 0.1448382191
#> [227,] 0.0518466958 0.0518466958 0.0518466958
#> [228,] 0.0461212168 0.0461212168 0.0461212168
#> [229,] 0.0094085971 0.0094085971 0.0094085971
#> [230,] 0.0671203421 0.0671203421 0.0671203421
#> [231,] -0.0960804704 -0.0960804704 -0.0960804704
#> [232,] 0.2178256838 0.2178256838 0.2178256838
#> [233,] -0.1219902657 -0.1219902657 -0.1219902657
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#> [235,] 0.1006297881 0.1006297881 0.1006297881
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#> [245,] 0.1651816789 0.1651816789 0.1651816789
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#> [250,] -0.0902704180 -0.0902704180 -0.0902704180
#> [251,] 0.0767049908 0.0767049908 0.0767049908
#> [252,] 0.0336732977 0.0336732977 0.0336732977
#> [253,] -0.1252069012 -0.1252069012 -0.1252069012
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#> [255,] 0.0784883806 0.0784883806 0.0784883806
#> [256,] -0.0175691196 -0.0175691196 -0.0175691196
#> [257,] 0.1749202545 0.1749202545 0.1749202545
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#> [259,] 0.0533452733 0.0533452733 0.0533452733
#> [260,] 0.0588577383 0.0588577383 0.0588577383
#> [261,] 0.0062692342 0.0062692342 0.0062692342
#> [262,] 0.0601087987 0.0601087987 0.0601087987
#> [263,] 0.0419933958 0.0419933958 0.0419933958
#> [264,] 0.1674072038 0.1674072038 0.1674072038
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#> [266,] 0.0395029530 0.0395029530 0.0395029530
#> [267,] -0.1562800606 -0.1562800606 -0.1562800606
#> [268,] 0.0791631273 0.0791631273 0.0791631273
#> [269,] 0.0081660019 0.0081660019 0.0081660019
#> [270,] -0.0323164143 -0.0323164143 -0.0323164143
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#> [273,] 0.0937552308 0.0937552308 0.0937552308
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#> [275,] 0.0519183012 0.0519183012 0.0519183012
#> [276,] 0.0296452452 0.0296452452 0.0296452452
#> [277,] 0.0102566909 0.0102566909 0.0102566909
#> [278,] 0.0667239981 0.0667239981 0.0667239981
#> [279,] 0.1335589682 0.1335589682 0.1335589682
#> [280,] 0.0529451710 0.0529451710 0.0529451710
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#> [285,] -0.1516042503 -0.1516042503 -0.1516042503
#> [286,] -0.0565842943 -0.0565842943 -0.0565842943
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#> [293,] 0.0661879446 0.0661879446 0.0661879446
#> [294,] 0.0209694020 0.0209694020 0.0209694020
#> [295,] 0.0869845096 0.0869845096 0.0869845096
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#> [307,] -0.0207117004 -0.0207117004 -0.0207117004
#> [308,] -0.0771312357 -0.0771312357 -0.0771312357
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#> [310,] 0.1042900618 0.1042900618 0.1042900618
#> [311,] 0.0868102373 0.0868102373 0.0868102373
#> [312,] 0.0611850616 0.0611850616 0.0611850616
#> [313,] -0.0684378065 -0.0684378065 -0.0684378065
#> [314,] 0.0883750989 0.0883750989 0.0883750989
#> [315,] -0.1360467629 -0.1360467629 -0.1360467629
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#> [323,] 0.0102653137 0.0102653137 0.0102653137
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#> [328,] -0.0627928178 -0.0627928178 -0.0627928178
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#> [331,] 0.1320302603 0.1320302603 0.1320302603
#> [332,] -0.0952189094 -0.0952189094 -0.0952189094
#> [333,] -0.0796772370 -0.0796772370 -0.0796772370
#> [334,] -0.0014182928 -0.0014182928 -0.0014182928
#> [335,] 0.2144572681 0.2144572681 0.2144572681
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#> [337,] -0.0628175741 -0.0628175741 -0.0628175741
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#> [343,] -0.0158207991 -0.0158207991 -0.0158207991
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#> [345,] -0.1057379214 -0.1057379214 -0.1057379214
#> [346,] 0.1550800750 0.1550800750 0.1550800750
#> [347,] 0.0975224050 0.0975224050 0.0975224050
#> [348,] -0.0424779473 -0.0424779473 -0.0424779473
#> [349,] 0.0604864304 0.0604864304 0.0604864304
#> [350,] -0.1120605854 -0.1120605854 -0.1120605854
#> [351,] 0.0237822986 0.0237822986 0.0237822986
#> [352,] 0.1592836241 0.1592836241 0.1592836241
#> [353,] 0.1853245677 0.1853245677 0.1853245677
#> [354,] -0.1251482818 -0.1251482818 -0.1251482818
#> [355,] 0.0516253830 0.0516253830 0.0516253830
#> [356,] -0.1201929379 -0.1201929379 -0.1201929379
#> [357,] -0.0152078112 -0.0152078112 -0.0152078112
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#> [360,] 0.1677714848 0.1677714848 0.1677714848
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#> [362,] -0.2153883572 -0.2153883572 -0.2153883572
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#> [364,] 0.1031779987 0.1031779987 0.1031779987
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#> [369,] 0.1410723576 0.1410723576 0.1410723576
#> [370,] -0.0433007206 -0.0433007206 -0.0433007206
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#> [372,] -0.0011882213 -0.0011882213 -0.0011882213
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#> [376,] -0.1296145419 -0.1296145419 -0.1296145419
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#> [385,] -0.0628028073 -0.0628028073 -0.0628028073
#> [386,] -0.1717344630 -0.1717344630 -0.1717344630
#> [387,] 0.0800331453 0.0800331453 0.0800331453
#> [388,] 0.0824169934 0.0824169934 0.0824169934
#> [389,] 0.0575039893 0.0575039893 0.0575039893
#> [390,] -0.1096943468 -0.1096943468 -0.1096943468
#> [391,] 0.1633499078 0.1633499078 0.1633499078
#> [392,] 0.0449841929 0.0449841929 0.0449841929
#> [393,] 0.1247737092 0.1247737092 0.1247737092
#> [394,] 0.1017821361 0.1017821361 0.1017821361
#> [395,] 0.0485801774 0.0485801774 0.0485801774
#> [396,] 0.0122596032 0.0122596032 0.0122596032
#> [397,] 0.1384315921 0.1384315921 0.1384315921
#> [398,] -0.0846723127 -0.0846723127 -0.0846723127
#> [399,] 0.0367466513 0.0367466513 0.0367466513
#> [400,] 0.0030938903 0.0030938903 0.0030938903
#> [401,] 0.0517293375 0.0517293375 0.0517293375
#> [402,] -0.1758807951 -0.1758807951 -0.1758807951
#> [403,] 0.0044833819 0.0044833819 0.0044833819
#> [404,] 0.0360933493 0.0360933493 0.0360933493
#> [405,] 0.1025946418 0.1025946418 0.1025946418
#> [406,] 0.0169920198 0.0169920198 0.0169920198
#> [407,] 0.0644932042 0.0644932042 0.0644932042
#> [408,] -0.0124641346 -0.0124641346 -0.0124641346
#> [409,] 0.0607898268 0.0607898268 0.0607898268
#> [410,] -0.1028704613 -0.1028704613 -0.1028704613
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#> [800,] 0.0680689830 0.0680689830 0.0680689830
#> [801,] 0.0256872730 0.0256872730 0.0256872730
#> [802,] 0.1469432294 0.1469432294 0.1469432294
#> [803,] 0.0779012499 0.0779012499 0.0779012499
#> [804,] -0.0497059207 -0.0497059207 -0.0497059207
#> [805,] 0.1002104961 0.1002104961 0.1002104961
#> [806,] 0.1369388856 0.1369388856 0.1369388856
#> [807,] 0.0198007343 0.0198007343 0.0198007343
#> [808,] 0.0189959515 0.0189959515 0.0189959515
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#> [810,] -0.0463042276 -0.0463042276 -0.0463042276
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#> [812,] 0.0171773864 0.0171773864 0.0171773864
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#> [820,] 0.0704033104 0.0704033104 0.0704033104
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#> [824,] -0.1800250784 -0.1800250784 -0.1800250784
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#> [826,] 0.1063652796 0.1063652796 0.1063652796
#> [827,] 0.0312498231 0.0312498231 0.0312498231
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#> [829,] 0.0457596871 0.0457596871 0.0457596871
#> [830,] 0.0348156268 0.0348156268 0.0348156268
#> [831,] 0.1015033234 0.1015033234 0.1015033234
#> [832,] 0.1105749367 0.1105749367 0.1105749367
#> [833,] 0.0908642815 0.0908642815 0.0908642815
#> [834,] 0.0157442129 0.0157442129 0.0157442129
#> [835,] 0.0373477285 0.0373477285 0.0373477285
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#> [837,] 0.0559166670 0.0559166670 0.0559166670
#> [838,] -0.1101009544 -0.1101009544 -0.1101009544
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#> [840,] -0.1196735718 -0.1196735718 -0.1196735718
#> [841,] 0.0134827191 0.0134827191 0.0134827191
#> [842,] -0.1788780459 -0.1788780459 -0.1788780459
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#> [845,] 0.0719820735 0.0719820735 0.0719820735
#> [846,] -0.0754007916 -0.0754007916 -0.0754007916
#> [847,] 0.1349797600 0.1349797600 0.1349797600
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#> [850,] -0.1535611943 -0.1535611943 -0.1535611943
#> [851,] -0.0126424696 -0.0126424696 -0.0126424696
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#> [853,] 0.0524710939 0.0524710939 0.0524710939
#> [854,] 0.0223739074 0.0223739074 0.0223739074
#> [855,] -0.1421127076 -0.1421127076 -0.1421127076
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#> [859,] 0.0101486013 0.0101486013 0.0101486013
#> [860,] -0.0475459171 -0.0475459171 -0.0475459171
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#> [862,] 0.0987460270 0.0987460270 0.0987460270
#> [863,] 0.1328580978 0.1328580978 0.1328580978
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#> [884,] 0.0830533608 0.0830533608 0.0830533608
#> [885,] 0.1601589436 0.1601589436 0.1601589436
#> [886,] -0.0629373070 -0.0629373070 -0.0629373070
#> [887,] -0.1106982045 -0.1106982045 -0.1106982045
#> [888,] -0.1010236435 -0.1010236435 -0.1010236435
#> [889,] 0.1446043119 0.1446043119 0.1446043119
#> [890,] -0.0884151374 -0.0884151374 -0.0884151374
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#> [894,] 0.0119912440 0.0119912440 0.0119912440
#> [895,] 0.0515044939 0.0515044939 0.0515044939
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#> [900,] -0.0287446749 -0.0287446749 -0.0287446749
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#> [902,] 0.1176655577 0.1176655577 0.1176655577
#> [903,] 0.1427055762 0.1427055762 0.1427055762
#> [904,] 0.0473087700 0.0473087700 0.0473087700
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#> [906,] 0.0813089896 0.0813089896 0.0813089896
#> [907,] -0.2499787701 -0.2499787701 -0.2499787701
#> [908,] 0.0479545548 0.0479545548 0.0479545548
#> [909,] 0.1506106310 0.1506106310 0.1506106310
#> [910,] 0.0162389751 0.0162389751 0.0162389751
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#> [915,] -0.0538104681 -0.0538104681 -0.0538104681
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#> [921,] 0.0832735005 0.0832735005 0.0832735005
#> [922,] -0.0563837960 -0.0563837960 -0.0563837960
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#> [924,] 0.0024644848 0.0024644848 0.0024644848
#> [925,] -0.1303534943 -0.1303534943 -0.1303534943
#> [926,] 0.0512538310 0.0512538310 0.0512538310
#> [927,] -0.0521812225 -0.0521812225 -0.0521812225
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#> [930,] -0.0330930482 -0.0330930482 -0.0330930482
#> [931,] 0.0597155015 0.0597155015 0.0597155015
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#> [933,] 0.0128362009 0.0128362009 0.0128362009
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#> [937,] 0.1190076761 0.1190076761 0.1190076761
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#> [959,] 0.0271312394 0.0271312394 0.0271312394
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#> [966,] 0.1384687561 0.1384687561 0.1384687561
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#> [977,] -0.0076171467 -0.0076171467 -0.0076171467
#> [978,] 0.0596768550 0.0596768550 0.0596768550
#> [979,] 0.0159847031 0.0159847031 0.0159847031
#> [980,] 0.1882274836 0.1882274836 0.1882274836
#> [981,] -0.1064141554 -0.1064141554 -0.1064141554
#> [982,] -0.1140906125 -0.1140906125 -0.1140906125
#> [983,] -0.1370358625 -0.1370358625 -0.1370358625
#> [984,] -0.0638338370 -0.0638338370 -0.0638338370
#> [985,] 0.1092211263 0.1092211263 0.1092211263
#> [986,] 0.0117238969 0.0117238969 0.0117238969
#> [987,] 0.1608431408 0.1608431408 0.1608431408
#> [988,] -0.1268489129 -0.1268489129 -0.1268489129
#> [989,] 0.1196613214 0.1196613214 0.1196613214
#> [990,] -0.0471391090 -0.0471391090 -0.0471391090
#> [991,] -0.0025764118 -0.0025764118 -0.0025764118
#> [992,] -0.0590884370 -0.0590884370 -0.0590884370
#> [993,] 0.0292807365 0.0292807365 0.0292807365
#> [994,] 0.0244471873 0.0244471873 0.0244471873
#> [995,] 0.0628052149 0.0628052149 0.0628052149
#> [996,] 0.0076077172 0.0076077172 0.0076077172
#> [997,] -0.0559500113 -0.0559500113 -0.0559500113
#> [998,] 0.0234623208 0.0234623208 0.0234623208
#> [999,] -0.0233613793 -0.0233613793 -0.0233613793
#> [1000,] -0.0601353161 -0.0601353161 -0.0601353161
#> [1001,] -0.0578658835 -0.0578658835 -0.0578658835
#> [1002,] -0.0490611674 -0.0490611674 -0.0490611674
#> [1003,] 0.1891463913 0.1891463913 0.1891463913
#> [1004,] 0.0344471270 0.0344471270 0.0344471270
#> [1005,] -0.1359144356 -0.1359144356 -0.1359144356
#> [1006,] -0.0101359960 -0.0101359960 -0.0101359960
#> [1007,] 0.0760501823 0.0760501823 0.0760501823
#> [1008,] 0.0410187799 0.0410187799 0.0410187799
#> [1009,] 0.0137367371 0.0137367371 0.0137367371
#> [1010,] -0.0286991307 -0.0286991307 -0.0286991307
#> [1011,] -0.0225490942 -0.0225490942 -0.0225490942
#> [1012,] 0.0371477761 0.0371477761 0.0371477761
#> [1013,] -0.1062729430 -0.1062729430 -0.1062729430
#> [1014,] -0.1041303058 -0.1041303058 -0.1041303058
#> [1015,] 0.1308222064 0.1308222064 0.1308222064
#> [1016,] -0.0979408007 -0.0979408007 -0.0979408007
#> [1017,] -0.1473202872 -0.1473202872 -0.1473202872
#> [1018,] 0.0128170754 0.0128170754 0.0128170754
#> [1019,] -0.1937177090 -0.1937177090 -0.1937177090
#> [1020,] 0.1741931424 0.1741931424 0.1741931424
#> [1021,] 0.0082066586 0.0082066586 0.0082066586
#> [1022,] 0.0121049040 0.0121049040 0.0121049040
#> [1023,] 0.1605421198 0.1605421198 0.1605421198
#> [1024,] -0.0099802563 -0.0099802563 -0.0099802563