Matrix of observation data X[20,20]
2.4 0.5 -0.3 0.0 -2.3 0.5 -0.8 -0.8 -0.4 -1.2 -0.7 -0.3 0.3 -0.2 -0.6 1.1 0.6 0.1 -3.6 -2.2
0.5 11.5 -3.2 -3.0 -0.8 -2.0 -1.3 -1.1 -2.8 -1.5 -0.9 -1.8 -3.1 -2.4 -2.2 0.1 -0.5 0.0 -1.0 -0.5
-0.3 -3.2 4.7 2.7 -4.5 0.1 0.4 -3.8 0.5 -4.0 -3.0 2.2 -0.7 0.9 -0.3 0.5 0.0 -2.9 -5.2 -2.8
0.0 -3.0 2.7 3.6 -3.9 -0.8 0.4 -2.7 1.2 -2.8 -2.0 0.9 -0.5 1.7 0.4 0.2 -0.1 -1.9 -4.3 -2.7
-2.3 -0.8 -4.5 -3.9 7.0 -5.2 -0.1 1.0 -3.3 2.0 1.6 -3.1 -3.8 -2.6 -3.2 -2.8 -2.2 0.1 3.6 5.1
0.5 -2.0 0.1 -0.8 -5.2 6.6 -1.4 -4.5 -1.1 -4.4 -3.5 0.4 -1.6 -1.0 -1.0 0.4 -1.1 -3.3 -4.0 -4.0
-0.8 -1.3 0.4 0.4 -0.1 -1.4 6.0 -2.2 0.6 -1.9 -1.3 1.2 -1.1 1.2 0.6 -0.2 -0.3 -2.0 -0.8 2.2
-0.8 -1.1 -3.8 -2.7 1.0 -4.5 -2.2 4.0 -2.1 2.8 2.5 -2.8 -2.6 -1.9 -2.4 -1.8 -0.6 3.1 -1.8 -0.7
-0.4 -2.8 0.5 1.2 -3.3 -1.1 0.6 -2.1 3.2 -2.1 -1.4 0.8 -0.6 1.5 2.7 0.1 0.1 -1.7 -3.5 -2.1
-1.2 -1.5 -4.0 -2.8 2.0 -4.4 -1.9 2.8 -2.1 4.0 2.8 -3.0 -2.3 -1.6 -2.2 -2.1 -1.3 1.8 -0.7 0.0
-0.7 -0.9 -3.0 -2.0 1.6 -3.5 -1.3 2.5 -1.4 2.8 4.3 -2.2 -2.4 -1.0 -1.7 -1.4 -0.6 1.6 -1.0 -0.2
-0.3 -1.8 2.2 0.9 -3.1 0.4 1.2 -2.8 0.8 -3.0 -2.2 3.8 -0.9 0.7 0.3 0.9 0.5 -2.2 -3.6 -1.4
0.3 -3.1 -0.7 -0.5 -3.8 -1.6 -1.1 -2.6 -0.6 -2.3 -2.4 -0.9 7.6 -0.2 -0.9 0.4 0.1 -1.8 -5.0 -3.1
-0.2 -2.4 0.9 1.7 -2.6 -1.0 1.2 -1.9 1.5 -1.6 -1.0 0.7 -0.2 2.7 1.5 0.2 0.0 -1.5 -2.7 -1.7
-0.6 -2.2 -0.3 0.4 -3.2 -1.0 0.6 -2.4 2.7 -2.2 -1.7 0.3 -0.9 1.5 4.7 -0.2 -0.2 -2.0 -1.6 -1.8
1.1 0.1 0.5 0.2 -2.8 0.4 -0.2 -1.8 0.1 -2.1 -1.4 0.9 0.4 0.2 -0.2 2.2 1.5 -1.0 -3.3 -1.9
0.6 -0.5 0.0 -0.1 -2.2 -1.1 -0.3 -0.6 0.1 -1.3 -0.6 0.5 0.1 0.0 -0.2 1.5 2.5 0.0 -3.5 -1.9
0.1 0.0 -2.9 -1.9 0.1 -3.3 -2.0 3.1 -1.7 1.8 1.6 -2.2 -1.8 -1.5 -2.0 -1.0 0.0 3.4 -2.6 -1.1
-3.6 -1.0 -5.2 -4.3 3.6 -4.0 -0.8 -1.8 -3.5 -0.7 -1.0 -3.6 -5.0 -2.7 -1.6 -3.3 -3.5 -2.6 14.2 4.1
-2.2 -0.5 -2.8 -2.7 5.1 -4.0 2.2 -0.7 -2.1 0.0 -0.2 -1.4 -3.1 -1.7 -1.8 -1.9 -1.9 -1.1 4.1 7.8
Compute column norms
Means=-0.39499999999999996 -0.8 -0.9349999999999999 -0.6799999999999999 -0.8699999999999999 -1.5450000000000004 -0.040000000000000036 -0.9200000000000002 -0.52 -0.8850000000000001 -0.525 -0.4800000000000001 -1.1099999999999999 -0.32 -0.5050000000000001 -0.355 -0.35 -0.6949999999999998 -1.3150000000000002 -0.44499999999999973
Sigmas=1.294716 3.097877 2.636839 2.178024 3.351842 2.633484 1.851713 2.385835 1.890029 2.366938 2.055000 1.980856 2.509120 1.599539 1.889716 1.456194 1.285342 1.925309 4.398837 3.007268
Normalize observation data creating Z[20,20]
  2.158775   0.419642   0.240819   0.312210  -0.426631   0.776538  -0.410431   0.050297   0.063491  -0.133083  -0.085158   0.090870   0.561950   0.075022  -0.050272   0.999180   0.739103   0.412921  -0.519456  -0.583586
  0.691271   3.970461  -0.858983  -1.065186   0.020884  -0.172775  -0.680451  -0.075445  -1.206331  -0.259829  -0.182482  -0.666379  -0.793107  -1.300374  -0.896960   0.312458  -0.116700   0.360981   0.071610  -0.018289
  0.073375  -0.774724   2.137028   1.551865  -1.082987   0.624648   0.237618  -1.207124   0.539674  -1.316046  -1.204379   1.352951   0.163404   0.762720   0.108482   0.587147   0.272301  -1.145271  -0.883188  -0.783103
  0.305086  -0.710164   1.378544   1.965084  -0.903981   0.282895   0.237618  -0.746070   0.910039  -0.809062  -0.717761   0.696669   0.243113   1.262864   0.478908   0.381131   0.194501  -0.625873  -0.678589  -0.749850
 -1.471365   0.000000  -1.351997  -1.478404   2.347963  -1.387895  -0.032402   0.804750  -1.470877   1.218874   1.034063  -1.322661  -1.072089  -1.425410  -1.426140  -1.679035  -1.439305   0.412921   1.117341   1.843867
  0.691271  -0.387362   0.392515  -0.055096  -1.291827   3.092861  -0.734455  -1.500523  -0.306874  -1.485041  -1.447688   0.444252  -0.195288  -0.425122  -0.261944   0.518475  -0.583502  -1.353029  -0.610389  -1.182136
 -0.312810  -0.161401   0.506288   0.495862   0.229724   0.055060   3.261844  -0.536500   0.592583  -0.428824  -0.377129   0.848118   0.003985   0.950274   0.584744   0.106442   0.038900  -0.677813   0.117076   0.879536
 -0.312810  -0.096841  -1.086528  -0.927446   0.557902  -1.122088  -1.166487   2.062171  -0.835966   1.556864   1.472019  -1.171211  -0.593834  -0.987784  -1.002796  -0.992313  -0.194501   1.971112  -0.110256  -0.084795
 -0.003862  -0.645603   0.544212   0.863168  -0.724975   0.168978   0.345626  -0.494586   1.968224  -0.513321  -0.425791   0.646185   0.203258   1.137828   1.696022   0.312458   0.350101  -0.521994  -0.496722  -0.550333
 -0.621758  -0.225961  -1.162377  -0.973359   0.856246  -1.084115  -1.004475   1.559202  -0.835966   2.063848   1.618005  -1.272177  -0.474270  -0.800230  -0.896960  -1.198330  -0.739103   1.295896   0.139810   0.147975
 -0.235573  -0.032280  -0.783135  -0.606054   0.736908  -0.742363  -0.680451   1.433460  -0.465601   1.556864   2.347932  -0.868312  -0.514124  -0.425122  -0.632370  -0.717624  -0.194501   1.192016   0.071610   0.081469
  0.073375  -0.322802   1.188923   0.725428  -0.665306   0.738565   0.669650  -0.787984   0.698402  -0.893560  -0.815085   2.160682   0.083695   0.637684   0.425990   0.861836   0.661302  -0.781693  -0.519456  -0.317564
  0.536797  -0.742444   0.089122   0.082644  -0.874146  -0.020885  -0.572443  -0.704156  -0.042327  -0.597819  -0.912409  -0.212030   3.471336   0.075022  -0.209026   0.518475   0.350101  -0.573934  -0.837722  -0.882861
  0.150612  -0.516483   0.695909   1.092733  -0.516134   0.206950   0.669650  -0.410758   1.068767  -0.302078  -0.231144   0.595702   0.362677   1.888044   1.061006   0.381131   0.272301  -0.418115  -0.314856  -0.417322
 -0.158336  -0.451922   0.240819   0.495862  -0.695140   0.206950   0.345626  -0.620328   1.703677  -0.555570  -0.571776   0.393769   0.083695   1.137828   2.754382   0.106442   0.116700  -0.677813  -0.064790  -0.450575
  1.154693   0.290522   0.544212   0.404036  -0.575803   0.738565  -0.086406  -0.368844   0.328037  -0.513321  -0.425791   0.696669   0.601805   0.325094   0.161400   1.754574   1.439305  -0.158416  -0.451256  -0.483828
  0.768508   0.096841   0.354591   0.266296  -0.396797   0.168978  -0.140411   0.134125   0.328037  -0.175332  -0.036496   0.494736   0.482241   0.200058   0.161400   1.273869   2.217308   0.360981  -0.496722  -0.483828
  0.382323   0.258241  -0.745210  -0.560141   0.289393  -0.666418  -1.058479   1.684944  -0.624329   1.134377   1.034063  -0.868312  -0.274997  -0.737712  -0.791124  -0.442936   0.272301   2.126931  -0.292123  -0.217806
 -2.475446  -0.064560  -1.617467  -1.662057   1.333595  -0.932225  -0.410431  -0.368844  -1.576695   0.078160  -0.231144  -1.575077  -1.550344  -1.487928  -0.579452  -2.022396  -2.450709  -0.989451   3.527069   1.511339
 -1.394128   0.096841  -0.707286  -0.927446   1.781110  -0.932225   1.209691   0.092211  -0.835966   0.373901   0.158151  -0.464446  -0.793107  -0.862748  -0.685288  -1.060985  -1.205904  -0.210356   1.231007   2.741692

Naive computation method that is sensitive to round-off error
ZZ is (Ztranspose)(Z) 
ZZ=
 19.000000   3.445636   9.658438   9.715869 -13.688327  11.427835  -3.093296  -3.557162   7.650842  -6.983656  -5.306051   8.865942  10.607961   7.437169   4.214137  16.254479  15.338129   1.163183 -15.500389 -14.512564
  3.445636  19.000000  -7.018335  -8.050686   3.444858  -2.377973  -3.791590   3.218769  -8.319274   2.112518   2.483452  -5.390741  -5.742996  -8.867495  -6.720068   0.543104  -0.238584   5.169028   2.365882   2.566512
  9.658438  -7.018335  19.000000  18.152915 -15.301528  12.527013   7.678585 -13.236870  14.825522 -14.811092 -13.237018  17.758086   9.038947  15.870155  11.368231  14.602909  11.496673 -11.047759 -12.776117 -11.298248
  9.715869  -8.050686  18.152915  19.000000 -15.154254  10.545711   7.330880 -11.258163  16.467270 -12.838568 -11.204600  16.311141   9.472043  17.577753  13.079203  13.715997  11.734209  -9.124403 -12.985800 -11.905828
-13.688327   3.444858 -15.301528 -15.154254  19.000000 -15.045054  -0.076692  11.665959 -13.587519  14.167716  12.831670 -14.093199 -11.613791 -13.236834 -11.388803 -15.850871 -12.557261   8.243339  14.257061  17.189384
 11.427835  -2.377973  12.527013  10.545711 -15.045054  19.000000   1.518315 -13.747762   8.553126 -15.055687 -13.835020  12.814596   6.200468   8.368703   7.335524  13.541685   7.463968 -11.166169  -9.859365 -12.191350
 -3.093296  -3.791590   7.678585   7.330880  -0.076692   1.518315  19.000000  -8.346984   8.175914  -7.109008  -6.727510   9.821763   0.374932   9.765392   8.280721   2.842994   0.999964  -9.504867   0.713042   6.163850
 -3.557162   3.218769 -13.236870 -11.258163  11.665959 -13.747762  -8.346984  19.000000  -9.586413  18.235123  18.068926 -13.405006  -6.497117 -10.140354 -10.256510 -10.091996  -2.670697  18.269844   3.220993   5.472174
  7.650842  -8.319274  14.825522  16.467270 -13.587519   8.553126   8.175914  -9.586413  19.000000 -10.732787  -9.219851  14.834362   8.549841  17.955288  17.537708  12.018536  11.229411  -8.153034 -11.129033 -10.376466
 -6.983656   2.112518 -14.811092 -12.838568  14.167716 -15.055687  -7.109008  18.235123 -10.732787  19.000000  18.401816 -14.880041  -7.536204 -10.941333 -10.574601 -12.888631  -6.207422  16.354415   6.282744   8.345515
 -5.306051   2.483452 -13.237018 -11.204600  12.831670 -13.835020  -6.727510  18.068926  -9.219851  18.401816  19.000000 -13.295144  -7.729465  -9.418768  -9.600561 -11.143773  -4.279961  16.482324   4.605563   6.862126
  8.865942  -5.390741  17.758086  16.311141 -14.093199  12.814596   9.821763 -13.405006  14.834362 -14.880041 -13.295144  19.000000   7.581981  15.211822  12.091617  14.932174  11.735697 -11.445922 -11.435640  -9.322200
 10.607961  -5.742996   9.038947   9.472043 -11.613791   6.200468   0.374932  -6.497117   8.549841  -7.536204  -7.729465   7.581981  19.000000   9.115878   5.850228  11.579563  10.889657  -4.150216 -11.821194 -10.802196
  7.437169  -8.867495  15.870155  17.577753 -13.236834   8.368703   9.765392 -10.140354  17.955288 -10.941333  -9.418768  15.211822   9.115878  19.000000  15.971945  11.977302  10.754122  -8.841385 -10.886125  -9.826531
  4.214137  -6.720068  11.368231  13.079203 -11.388803   7.335524   8.280721 -10.256510  17.537708 -10.574601  -9.600561  12.091617   5.850228  15.971945  19.000000   8.984871   7.433308  -9.633515  -6.094579  -7.609608
 16.254479   0.543104  14.602909  13.715997 -15.850871  13.541685   2.842994 -10.091996  12.018536 -12.888631 -11.143773  14.932174  11.579563  11.977302   8.984871  19.000000  16.714684  -6.118690 -14.461894 -13.545851
 15.338129  -0.238584  11.496673  11.734209 -12.557261   7.463968   0.999964  -2.670697  11.229411  -6.207422  -4.279961  11.735697  10.889657  10.754122   7.433308  16.714684  19.000000   1.161766 -14.970787 -12.543435
  1.163183   5.169028 -11.047759  -9.124403   8.243339 -11.166169  -9.504867  18.269844  -8.153034  16.354415  16.482324 -11.445922  -4.150216  -8.841385  -9.633515  -6.118690   1.161766  19.000000  -0.651602   1.893722
-15.500389   2.365882 -12.776117 -12.985800  14.257061  -9.859365   0.713042   3.220993 -11.129033   6.282744   4.605563 -11.435640 -11.821194 -10.886125  -6.094579 -14.461894 -14.970787  -0.651602  19.000000  14.989366
-14.512564   2.566512 -11.298248 -11.905828  17.189384 -12.191350   6.163850   5.472174 -10.376466   8.345515   6.862126  -9.322200 -10.802196  -9.826531  -7.609608 -13.545851 -12.543435   1.893722  14.989366  19.000000
the correlation matrix, R = (Zt)(Z)/(n-1)
R=
  2.1111   0.3828   1.0732   1.0795  -1.5209   1.2698  -0.3437  -0.3952   0.8501  -0.7760  -0.5896   0.9851   1.1787   0.8264   0.4682   1.8061   1.7042   0.1292  -1.7223  -1.6125
  0.3828   2.1111  -0.7798  -0.8945   0.3828  -0.2642  -0.4213   0.3576  -0.9244   0.2347   0.2759  -0.5990  -0.6381  -0.9853  -0.7467   0.0603  -0.0265   0.5743   0.2629   0.2852
  1.0732  -0.7798   2.1111   2.0170  -1.7002   1.3919   0.8532  -1.4708   1.6473  -1.6457  -1.4708   1.9731   1.0043   1.7634   1.2631   1.6225   1.2774  -1.2275  -1.4196  -1.2554
  1.0795  -0.8945   2.0170   2.1111  -1.6838   1.1717   0.8145  -1.2509   1.8297  -1.4265  -1.2450   1.8123   1.0524   1.9531   1.4532   1.5240   1.3038  -1.0138  -1.4429  -1.3229
 -1.5209   0.3828  -1.7002  -1.6838   2.1111  -1.6717  -0.0085   1.2962  -1.5097   1.5742   1.4257  -1.5659  -1.2904  -1.4708  -1.2654  -1.7612  -1.3953   0.9159   1.5841   1.9099
  1.2698  -0.2642   1.3919   1.1717  -1.6717   2.1111   0.1687  -1.5275   0.9503  -1.6729  -1.5372   1.4238   0.6889   0.9299   0.8151   1.5046   0.8293  -1.2407  -1.0955  -1.3546
 -0.3437  -0.4213   0.8532   0.8145  -0.0085   0.1687   2.1111  -0.9274   0.9084  -0.7899  -0.7475   1.0913   0.0417   1.0850   0.9201   0.3159   0.1111  -1.0561   0.0792   0.6849
 -0.3952   0.3576  -1.4708  -1.2509   1.2962  -1.5275  -0.9274   2.1111  -1.0652   2.0261   2.0077  -1.4894  -0.7219  -1.1267  -1.1396  -1.1213  -0.2967   2.0300   0.3579   0.6080
  0.8501  -0.9244   1.6473   1.8297  -1.5097   0.9503   0.9084  -1.0652   2.1111  -1.1925  -1.0244   1.6483   0.9500   1.9950   1.9486   1.3354   1.2477  -0.9059  -1.2366  -1.1529
 -0.7760   0.2347  -1.6457  -1.4265   1.5742  -1.6729  -0.7899   2.0261  -1.1925   2.1111   2.0446  -1.6533  -0.8374  -1.2157  -1.1750  -1.4321  -0.6897   1.8172   0.6981   0.9273
 -0.5896   0.2759  -1.4708  -1.2450   1.4257  -1.5372  -0.7475   2.0077  -1.0244   2.0446   2.1111  -1.4772  -0.8588  -1.0465  -1.0667  -1.2382  -0.4756   1.8314   0.5117   0.7625
  0.9851  -0.5990   1.9731   1.8123  -1.5659   1.4238   1.0913  -1.4894   1.6483  -1.6533  -1.4772   2.1111   0.8424   1.6902   1.3435   1.6591   1.3040  -1.2718  -1.2706  -1.0358
  1.1787  -0.6381   1.0043   1.0524  -1.2904   0.6889   0.0417  -0.7219   0.9500  -0.8374  -0.8588   0.8424   2.1111   1.0129   0.6500   1.2866   1.2100  -0.4611  -1.3135  -1.2002
  0.8264  -0.9853   1.7634   1.9531  -1.4708   0.9299   1.0850  -1.1267   1.9950  -1.2157  -1.0465   1.6902   1.0129   2.1111   1.7747   1.3308   1.1949  -0.9824  -1.2096  -1.0918
  0.4682  -0.7467   1.2631   1.4532  -1.2654   0.8151   0.9201  -1.1396   1.9486  -1.1750  -1.0667   1.3435   0.6500   1.7747   2.1111   0.9983   0.8259  -1.0704  -0.6772  -0.8455
  1.8061   0.0603   1.6225   1.5240  -1.7612   1.5046   0.3159  -1.1213   1.3354  -1.4321  -1.2382   1.6591   1.2866   1.3308   0.9983   2.1111   1.8572  -0.6799  -1.6069  -1.5051
  1.7042  -0.0265   1.2774   1.3038  -1.3953   0.8293   0.1111  -0.2967   1.2477  -0.6897  -0.4756   1.3040   1.2100   1.1949   0.8259   1.8572   2.1111   0.1291  -1.6634  -1.3937
  0.1292   0.5743  -1.2275  -1.0138   0.9159  -1.2407  -1.0561   2.0300  -0.9059   1.8172   1.8314  -1.2718  -0.4611  -0.9824  -1.0704  -0.6799   0.1291   2.1111  -0.0724   0.2104
 -1.7223   0.2629  -1.4196  -1.4429   1.5841  -1.0955   0.0792   0.3579  -1.2366   0.6981   0.5117  -1.2706  -1.3135  -1.2096  -0.6772  -1.6069  -1.6634  -0.0724   2.1111   1.6655
 -1.6125   0.2852  -1.2554  -1.3229   1.9099  -1.3546   0.6849   0.6080  -1.1529   0.9273   0.7625  -1.0358  -1.2002  -1.0918  -0.8455  -1.5051  -1.3937   0.2104   1.6655   2.1111
Continuing the naive example use R for the eigensolution
eigenvalues= 23.9845   7.0794   4.1073   2.2858   1.5035   1.2274   0.6230   0.5070   0.2767   0.1964   0.1786   0.0883   0.0554   0.0348   0.0284   0.0227   0.0111   0.0082   0.0037  -0.0000
eigenvectors:
  0.1891   0.3631   0.1590  -0.1613   0.0326   0.0166  -0.2355  -0.2009  -0.4814   0.3053   0.0799   0.3252   0.2820   0.2113   0.0597   0.1152  -0.0458   0.1994  -0.2016   0.1528
 -0.0877   0.1365   0.4020  -0.6011  -0.2257   0.3082   0.3598  -0.2111   0.0784  -0.0684  -0.1656   0.0255  -0.0879  -0.0858  -0.0152   0.0019  -0.0872   0.0521   0.1008  -0.2368
  0.2771  -0.0419  -0.0689  -0.0338   0.0645  -0.3374   0.3319   0.0965  -0.0551   0.1119  -0.0254   0.0276   0.3199   0.0269  -0.3876  -0.1061   0.3413   0.3161   0.2951  -0.3051
  0.2711  -0.0069  -0.1949   0.0071  -0.0267  -0.1924   0.3830  -0.0322  -0.3931   0.1163   0.0547  -0.1173   0.0141  -0.1640   0.1246  -0.0738  -0.5037  -0.4413   0.0034  -0.1472
 -0.2721  -0.1245  -0.1139  -0.1681   0.1704  -0.0554  -0.1131   0.0690  -0.0820   0.3608  -0.2277  -0.0811  -0.0865   0.3940   0.0985   0.4665   0.1147  -0.2734   0.2350  -0.3018
  0.2284  -0.0083   0.3267   0.1140  -0.1656  -0.2983  -0.5778  -0.2254  -0.0161  -0.0522  -0.0636  -0.1013  -0.2097  -0.2132  -0.0876   0.0156  -0.1551   0.0202   0.2257  -0.3701
  0.0994  -0.3380  -0.2558  -0.4819   0.2717  -0.0613  -0.2098  -0.3862  -0.0056  -0.3984   0.2569  -0.1104   0.2239   0.0928   0.0563  -0.0442   0.0360  -0.0648   0.0208   0.0263
 -0.2218   0.2982  -0.2541  -0.0397  -0.0511  -0.0852  -0.0485   0.0142   0.0560  -0.0696   0.2641   0.1411  -0.0644  -0.0943  -0.0206  -0.0582   0.1792  -0.0764  -0.5194  -0.6009
  0.2506  -0.0314  -0.3224  -0.0151  -0.2430   0.1935  -0.0645  -0.0251   0.1421   0.2347  -0.0452  -0.0298   0.0889  -0.1906   0.6824  -0.0604   0.1556   0.2578   0.1676  -0.1420
 -0.2490   0.2014  -0.2690   0.0177  -0.0087  -0.0421  -0.0862  -0.0884  -0.0117  -0.0666  -0.2285   0.1138  -0.1062   0.4346   0.0030  -0.5937  -0.3062   0.1594   0.2461  -0.0747
 -0.2270   0.2345  -0.2922  -0.0477  -0.0911  -0.1220  -0.1068  -0.0895  -0.0900  -0.2086  -0.5977  -0.0153   0.3391  -0.4132  -0.1019   0.1814   0.0298  -0.0634  -0.0034   0.1422
  0.2699  -0.0795  -0.0566  -0.1935   0.0350  -0.2900   0.0053   0.2110   0.4078  -0.0815  -0.1488   0.6760  -0.0939   0.0345   0.0693   0.1615  -0.2152  -0.0767  -0.0480   0.0548
  0.1815   0.1639  -0.0246   0.2590   0.6674   0.4831   0.0165  -0.1462   0.0588  -0.0629  -0.1018   0.1768  -0.0075  -0.1755  -0.0615   0.0506  -0.0761  -0.0241   0.1514  -0.2378
  0.2532  -0.0543  -0.3298  -0.0330  -0.0934   0.0695   0.1004  -0.1470  -0.3302  -0.1588  -0.1667   0.0267  -0.6650   0.0517  -0.1563   0.1875   0.1897   0.2343  -0.1034   0.0949
  0.2133  -0.1325  -0.2709  -0.0042  -0.4251   0.4714  -0.2131   0.0124   0.1333   0.1797   0.0470   0.0656   0.1853   0.1049  -0.4932  -0.0015  -0.0987  -0.2414   0.0101  -0.0419
  0.2588   0.1776   0.1222  -0.2315   0.1018   0.0399  -0.1753   0.2871  -0.1188  -0.0078  -0.1783  -0.0161  -0.1243  -0.0274   0.0608  -0.4309   0.4630  -0.4797   0.0263   0.1042
  0.2023   0.3132  -0.0985  -0.2715   0.1283   0.0603  -0.1547   0.5586   0.0640  -0.1412   0.0438  -0.4360   0.0035   0.0684  -0.0529   0.1720  -0.3067   0.2679  -0.0398  -0.0314
 -0.1786   0.3961  -0.1882  -0.1056  -0.0562  -0.0669  -0.0099  -0.0231   0.0257   0.0407   0.5052   0.1479  -0.1749  -0.2269  -0.0836   0.1352   0.0652  -0.1076   0.5540   0.2165
 -0.2108  -0.3247   0.0715   0.0148  -0.1082   0.2050  -0.1040   0.4406  -0.4995  -0.3319   0.0875   0.3313   0.0896  -0.1182   0.0883   0.0003  -0.0325   0.0914   0.1881  -0.1854
 -0.2121  -0.2947  -0.0889  -0.2988   0.2552  -0.0204  -0.1445   0.0806  -0.0314   0.5260  -0.0173   0.0287  -0.1756  -0.4355  -0.1890  -0.2459  -0.1379   0.2010  -0.1285   0.0814

Good computation method- perform SVD of Z
Singular values, S=14.692199158893787 7.982152416385763 6.079907555878633 4.53562517083737 3.6785452655895523 3.323665535301853 2.3679739013856955 2.1360265691060105 1.5780805603534729 1.3295809135182735 1.2679102261638733 0.8913319525761941 0.7061778941314831 0.5594239107161701 0.5059334117589968 0.4523520480075491 0.31567982461872984 0.27091039790479976 0.1830987869447648 2.398130726256657e-16
square S and divide by (number of observations)-1 to get the eigenvalues
eigenvalues= 23.9845   7.0794   4.1073   2.2858   1.5035   1.2274   0.6230   0.5070   0.2767   0.1964   0.1786   0.0883   0.0554   0.0348   0.0284   0.0227   0.0111   0.0082   0.0037   0.0000
eigenvectors:
 -0.1891  -0.3631  -0.1590  -0.1613   0.0326   0.0166  -0.2355   0.2009   0.4814  -0.3053  -0.0799   0.3252   0.2820   0.2113   0.0597   0.1152  -0.0458   0.1994  -0.2016  -0.1528
  0.0877  -0.1365  -0.4020  -0.6011  -0.2257   0.3082   0.3598   0.2111  -0.0784   0.0684   0.1656   0.0255  -0.0879  -0.0858  -0.0152   0.0019  -0.0872   0.0521   0.1008   0.2368
 -0.2771   0.0419   0.0689  -0.0338   0.0645  -0.3374   0.3319  -0.0965   0.0551  -0.1119   0.0254   0.0276   0.3199   0.0269  -0.3876  -0.1061   0.3413   0.3161   0.2951   0.3051
 -0.2711   0.0069   0.1949   0.0071  -0.0267  -0.1924   0.3830   0.0322   0.3931  -0.1163  -0.0547  -0.1173   0.0141  -0.1640   0.1246  -0.0738  -0.5037  -0.4413   0.0034   0.1472
  0.2721   0.1245   0.1139  -0.1681   0.1704  -0.0554  -0.1131  -0.0690   0.0820  -0.3608   0.2277  -0.0811  -0.0865   0.3940   0.0985   0.4665   0.1147  -0.2734   0.2350   0.3018
 -0.2284   0.0083  -0.3267   0.1140  -0.1656  -0.2983  -0.5778   0.2254   0.0161   0.0522   0.0636  -0.1013  -0.2097  -0.2132  -0.0876   0.0156  -0.1551   0.0202   0.2257   0.3701
 -0.0994   0.3380   0.2558  -0.4819   0.2717  -0.0613  -0.2098   0.3862   0.0056   0.3984  -0.2569  -0.1104   0.2239   0.0928   0.0563  -0.0442   0.0360  -0.0648   0.0208  -0.0263
  0.2218  -0.2982   0.2541  -0.0397  -0.0511  -0.0852  -0.0485  -0.0142  -0.0560   0.0696  -0.2641   0.1411  -0.0644  -0.0943  -0.0206  -0.0582   0.1792  -0.0764  -0.5194   0.6009
 -0.2506   0.0314   0.3224  -0.0151  -0.2430   0.1935  -0.0645   0.0251  -0.1421  -0.2347   0.0452  -0.0298   0.0889  -0.1906   0.6824  -0.0604   0.1556   0.2578   0.1676   0.1420
  0.2490  -0.2014   0.2690   0.0177  -0.0087  -0.0421  -0.0862   0.0884   0.0117   0.0666   0.2285   0.1138  -0.1062   0.4346   0.0030  -0.5937  -0.3062   0.1594   0.2461   0.0747
  0.2270  -0.2345   0.2922  -0.0477  -0.0911  -0.1220  -0.1068   0.0895   0.0900   0.2086   0.5977  -0.0153   0.3391  -0.4132  -0.1019   0.1814   0.0298  -0.0634  -0.0034  -0.1422
 -0.2699   0.0795   0.0566  -0.1935   0.0350  -0.2900   0.0053  -0.2110  -0.4078   0.0815   0.1488   0.6760  -0.0939   0.0345   0.0693   0.1615  -0.2152  -0.0767  -0.0480  -0.0548
 -0.1815  -0.1639   0.0246   0.2590   0.6674   0.4831   0.0165   0.1462  -0.0588   0.0629   0.1018   0.1768  -0.0075  -0.1755  -0.0615   0.0506  -0.0761  -0.0241   0.1514   0.2378
 -0.2532   0.0543   0.3298  -0.0330  -0.0934   0.0695   0.1004   0.1470   0.3302   0.1588   0.1667   0.0267  -0.6650   0.0517  -0.1563   0.1875   0.1897   0.2343  -0.1034  -0.0949
 -0.2133   0.1325   0.2709  -0.0042  -0.4251   0.4714  -0.2131  -0.0124  -0.1333  -0.1797  -0.0470   0.0656   0.1853   0.1049  -0.4932  -0.0015  -0.0987  -0.2414   0.0101   0.0419
 -0.2588  -0.1776  -0.1222  -0.2315   0.1018   0.0399  -0.1753  -0.2871   0.1188   0.0078   0.1783  -0.0161  -0.1243  -0.0274   0.0608  -0.4309   0.4630  -0.4797   0.0263  -0.1042
 -0.2023  -0.3132   0.0985  -0.2715   0.1283   0.0603  -0.1547  -0.5586  -0.0640   0.1412  -0.0438  -0.4360   0.0035   0.0684  -0.0529   0.1720  -0.3067   0.2679  -0.0398   0.0314
  0.1786  -0.3961   0.1882  -0.1056  -0.0562  -0.0669  -0.0099   0.0231  -0.0257  -0.0407  -0.5052   0.1479  -0.1749  -0.2269  -0.0836   0.1352   0.0652  -0.1076   0.5540  -0.2165
  0.2108   0.3247  -0.0715   0.0148  -0.1082   0.2050  -0.1040  -0.4406   0.4995   0.3319  -0.0875   0.3313   0.0896  -0.1182   0.0883   0.0003  -0.0325   0.0914   0.1881   0.1854
  0.2121   0.2947   0.0889  -0.2988   0.2552  -0.0204  -0.1445  -0.0806   0.0314  -0.5260   0.0173   0.0287  -0.1756  -0.4355  -0.1890  -0.2459  -0.1379   0.2010  -0.1285  -0.0814
(the 3rd vector/column has inverted signs, thats ok the math still works)

verify V x transpose = I
As computed
                   1          5.06539e-16          1.04083e-16         -1.73472e-17          3.46945e-17          -1.8735e-16          5.37764e-17         -2.08167e-16           -1.249e-16         -2.61943e-16          3.64292e-16         -3.98986e-17         -1.73472e-16         -2.56739e-16          3.39138e-16         -3.95517e-16         -2.77556e-16          -3.1225e-16         -8.67362e-17          4.28477e-16
         5.06539e-16                    1         -9.71445e-17          1.31839e-16          1.94289e-16         -4.02456e-16          3.02709e-16         -8.32667e-17         -3.60822e-16         -1.04083e-17         -2.22045e-16          2.98372e-16          -4.3715e-16         -4.26742e-16         -3.60822e-16          4.57967e-16           8.0231e-16          2.01228e-16           4.3715e-16          5.23886e-16
         1.04083e-16         -9.71445e-17                    1          2.22045e-16         -2.22045e-16         -3.46945e-16         -8.50015e-17         -3.05311e-16          -1.8735e-16           1.2837e-16           1.8735e-16          1.38778e-16          4.16334e-17          4.51028e-17          1.21431e-16            3.747e-16         -6.83481e-16          2.63678e-16         -3.05311e-16          3.81639e-17
        -1.73472e-17          1.31839e-16          2.22045e-16                    1         -8.32667e-17         -8.18789e-16         -2.15106e-16          6.93889e-17          1.83881e-16         -5.63785e-16         -5.20417e-17         -4.42354e-16          2.77556e-17          2.94903e-16          2.08167e-16          9.71445e-17         -3.72966e-17         -1.17961e-16         -3.71231e-16          2.75821e-16
         3.46945e-17          1.94289e-16         -2.22045e-16         -8.32667e-17                    1          5.27356e-16          1.37043e-16           -2.498e-16          2.08167e-17         -4.71845e-16         -2.28983e-16          8.32667e-17          1.38778e-16          4.75314e-16          1.68268e-16         -1.45717e-16          -5.9848e-16          8.04912e-16         -4.64906e-16          5.55112e-17
         -1.8735e-16         -4.02456e-16         -3.46945e-16         -8.18789e-16          5.27356e-16                    1           -6.245e-17         -1.38778e-16         -4.71845e-16          1.14492e-16          -1.8735e-16         -9.02056e-17          1.66533e-16           -6.245e-16         -1.02349e-16          3.05311e-16          6.88685e-16         -3.19189e-16          2.77556e-16          2.28983e-16
         5.37764e-17          3.02709e-16         -8.50015e-17         -2.15106e-16          1.37043e-16           -6.245e-17                    1         -7.97973e-17         -2.94903e-17          -1.0365e-16           3.1572e-16          1.60245e-16         -8.84709e-17          -1.8258e-16         -6.35342e-17          3.95517e-16          1.18015e-15         -2.71484e-16          5.61183e-16         -3.17888e-16
        -2.08167e-16         -8.32667e-17         -3.05311e-16          6.93889e-17           -2.498e-16         -1.38778e-16         -7.97973e-17                    1         -2.08167e-16         -1.38778e-16          2.08167e-16         -4.85723e-17                    0          3.26128e-16         -1.38778e-17            2.498e-16         -6.93889e-17         -4.71845e-16         -1.38778e-17          1.31839e-16
          -1.249e-16         -3.60822e-16          -1.8735e-16          1.83881e-16          2.08167e-17         -4.71845e-16         -2.94903e-17         -2.08167e-16                    1          1.11022e-16         -2.35922e-16         -2.35922e-16          1.66533e-16         -2.06432e-16         -1.60462e-16          1.50921e-16          2.42861e-17          2.87964e-16          4.51028e-17          5.75928e-16
        -2.61943e-16         -1.04083e-17           1.2837e-16         -5.63785e-16         -4.71845e-16          1.14492e-16          -1.0365e-16         -1.38778e-16          1.11022e-16                    1         -6.41848e-17          2.56739e-16          1.73472e-16          1.82146e-16          6.76542e-17          9.54098e-18          -3.9465e-17          7.42462e-16          4.83988e-16          1.34441e-16
         3.64292e-16         -2.22045e-16           1.8735e-16         -5.20417e-17         -2.28983e-16          -1.8735e-16           3.1572e-16          2.08167e-16         -2.35922e-16         -6.41848e-17                    1          -2.2031e-16         -1.04083e-16         -2.41127e-16          1.17961e-16         -2.58474e-16          4.18068e-16          4.75314e-16          1.76942e-16         -3.17454e-16
        -3.98986e-17          2.98372e-16          1.38778e-16         -4.42354e-16          8.32667e-17         -9.02056e-17          1.60245e-16         -4.85723e-17         -2.35922e-16          2.56739e-16          -2.2031e-16                    1          1.73472e-17                    0          1.07119e-16         -5.13478e-16         -4.05708e-16          1.73472e-16         -8.67362e-18         -2.74954e-16
        -1.73472e-16          -4.3715e-16          4.16334e-17          2.77556e-17          1.38778e-16          1.66533e-16         -8.84709e-17                    0          1.66533e-16          1.73472e-16         -1.04083e-16          1.73472e-17                    1         -1.49186e-16          1.23165e-16         -3.46945e-18          8.41341e-17          8.32667e-17          3.88578e-16         -3.46945e-17
        -2.56739e-16         -4.26742e-16          4.51028e-17          2.94903e-16          4.75314e-16           -6.245e-16          -1.8258e-16          3.26128e-16         -2.06432e-16          1.82146e-16         -2.41127e-16                    0         -1.49186e-16                    1          3.86843e-16         -2.55004e-16          5.02202e-16          4.02456e-16          3.22659e-16         -1.99493e-17
         3.39138e-16         -3.60822e-16          1.21431e-16          2.08167e-16          1.68268e-16         -1.02349e-16         -6.35342e-17         -1.38778e-17         -1.60462e-16          6.76542e-17          1.17961e-16          1.07119e-16          1.23165e-16          3.86843e-16                    1          5.72459e-17          -2.1619e-16          2.60209e-17          4.16334e-17          6.50521e-17
        -3.95517e-16          4.57967e-16            3.747e-16          9.71445e-17         -1.45717e-16          3.05311e-16          3.95517e-16            2.498e-16          1.50921e-16          9.54098e-18         -2.58474e-16         -5.13478e-16         -3.46945e-18         -2.55004e-16          5.72459e-17                    1         -5.67255e-16          2.18575e-16         -3.50414e-16         -1.31839e-16
        -2.77556e-16           8.0231e-16         -6.83481e-16         -3.72966e-17          -5.9848e-16          6.88685e-16          1.18015e-15         -6.93889e-17          2.42861e-17          -3.9465e-17          4.18068e-16         -4.05708e-16          8.41341e-17          5.02202e-16          -2.1619e-16         -5.67255e-16                    1         -1.31839e-16         -1.37303e-15         -5.68122e-16
         -3.1225e-16          2.01228e-16          2.63678e-16         -1.17961e-16          8.04912e-16         -3.19189e-16         -2.71484e-16         -4.71845e-16          2.87964e-16          7.42462e-16          4.75314e-16          1.73472e-16          8.32667e-17          4.02456e-16          2.60209e-17          2.18575e-16         -1.31839e-16                    1          2.35922e-16          1.31839e-16
        -8.67362e-17           4.3715e-16         -3.05311e-16         -3.71231e-16         -4.64906e-16          2.77556e-16          5.61183e-16         -1.38778e-17          4.51028e-17          4.83988e-16          1.76942e-16         -8.67362e-18          3.88578e-16          3.22659e-16          4.16334e-17         -3.50414e-16         -1.37303e-15          2.35922e-16                    1         -4.05925e-16
         4.28477e-16          5.23886e-16          3.81639e-17          2.75821e-16          5.55112e-17          2.28983e-16         -3.17888e-16          1.31839e-16          5.75928e-16          1.34441e-16         -3.17454e-16         -2.74954e-16         -3.46945e-17         -1.99493e-17          6.50521e-17         -1.31839e-16         -5.68122e-16          1.31839e-16         -4.05925e-16                    1

Rounded off
1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0

square root of eigenvalues as a diagonal matrix
  4.8974   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000
  0.0000   2.6607   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000
  0.0000   0.0000   2.0266   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000
  0.0000   0.0000   0.0000   1.5119   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000
  0.0000   0.0000   0.0000   0.0000   1.2262   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000
  0.0000   0.0000   0.0000   0.0000   0.0000   1.1079   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000
  0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.7893   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000
  0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.7120   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000
  0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.5260   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000
  0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.4432   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000
  0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.4226   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000
  0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.2971   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000
  0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.2354   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000
  0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.1865   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000
  0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.1686   0.0000   0.0000   0.0000   0.0000   0.0000
  0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.1508   0.0000   0.0000   0.0000   0.0000
  0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.1052   0.0000   0.0000   0.0000
  0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0903   0.0000   0.0000
  0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0610   0.0000
  0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000   0.0000
Factor Structure Matrix S
 -0.9263  -0.9660  -0.3222  -0.2438   0.0400   0.0184  -0.1859   0.1431   0.2532  -0.1353  -0.0338   0.0966   0.0664   0.0394   0.0101   0.0174  -0.0048   0.0180  -0.0123  -0.0000
  0.4297  -0.3633  -0.8147  -0.9088  -0.2767   0.3415   0.2840   0.1503  -0.0413   0.0303   0.0700   0.0076  -0.0207  -0.0160  -0.0026   0.0003  -0.0092   0.0047   0.0062   0.0000
 -1.3568   0.1115   0.1397  -0.0511   0.0791  -0.3738   0.2620  -0.0687   0.0290  -0.0496   0.0107   0.0082   0.0753   0.0050  -0.0654  -0.0160   0.0359   0.0285   0.0180   0.0000
 -1.3279   0.0183   0.3949   0.0108  -0.0327  -0.2132   0.3023   0.0229   0.2068  -0.0516  -0.0231  -0.0349   0.0033  -0.0306   0.0210  -0.0111  -0.0530  -0.0398   0.0002   0.0000
  1.3328   0.3313   0.2308  -0.2542   0.2089  -0.0614  -0.0893  -0.0492   0.0431  -0.1599   0.0962  -0.0241  -0.0204   0.0735   0.0166   0.0703   0.0121  -0.0247   0.0143   0.0000
 -1.1187   0.0222  -0.6620   0.1724  -0.2030  -0.3305  -0.4561   0.1605   0.0085   0.0231   0.0269  -0.0301  -0.0494  -0.0398  -0.0148   0.0023  -0.0163   0.0018   0.0138   0.0000
 -0.4867   0.8993   0.5185  -0.7285   0.3332  -0.0679  -0.1656   0.2750   0.0029   0.1766  -0.1086  -0.0328   0.0527   0.0173   0.0095  -0.0067   0.0038  -0.0058   0.0013  -0.0000
  1.0864  -0.7934   0.5149  -0.0600  -0.0627  -0.0944  -0.0383  -0.0101  -0.0294   0.0308  -0.1116   0.0419  -0.0152  -0.0176  -0.0035  -0.0088   0.0189  -0.0069  -0.0317   0.0000
 -1.2273   0.0834   0.6535  -0.0228  -0.2980   0.2143  -0.0509   0.0179  -0.0748  -0.1040   0.0191  -0.0088   0.0209  -0.0355   0.1151  -0.0091   0.0164   0.0233   0.0102   0.0000
  1.2195  -0.5358   0.5451   0.0267  -0.0106  -0.0467  -0.0680   0.0629   0.0062   0.0295   0.0966   0.0338  -0.0250   0.0810   0.0005  -0.0895  -0.0322   0.0144   0.0150   0.0000
  1.1118  -0.6239   0.5921  -0.0720  -0.1117  -0.1351  -0.0843   0.0637   0.0474   0.0924   0.2526  -0.0046   0.0798  -0.0771  -0.0172   0.0273   0.0031  -0.0057  -0.0002  -0.0000
 -1.3216   0.2115   0.1148  -0.2925   0.0429  -0.3213   0.0042  -0.1502  -0.2145   0.0361   0.0629   0.2008  -0.0221   0.0064   0.0117   0.0244  -0.0226  -0.0069  -0.0029  -0.0000
 -0.8891  -0.4360   0.0498   0.3915   0.8183   0.5352   0.0130   0.1041  -0.0309   0.0279   0.0430   0.0525  -0.0018  -0.0327  -0.0104   0.0076  -0.0080  -0.0022   0.0092   0.0000
 -1.2400   0.1444   0.6685  -0.0499  -0.1145   0.0770   0.0792   0.1046   0.1737   0.0704   0.0705   0.0079  -0.1565   0.0096  -0.0264   0.0283   0.0200   0.0212  -0.0063  -0.0000
 -1.0444   0.3526   0.5490  -0.0063  -0.5212   0.5223  -0.1682  -0.0088  -0.0701  -0.0796  -0.0199   0.0195   0.0436   0.0196  -0.0832  -0.0002  -0.0104  -0.0218   0.0006   0.0000
 -1.2674  -0.4726  -0.2477  -0.3501   0.1248   0.0442  -0.1384  -0.2044   0.0625   0.0034   0.0753  -0.0048  -0.0293  -0.0051   0.0103  -0.0650   0.0487  -0.0433   0.0016  -0.0000
 -0.9906  -0.8333   0.1997  -0.4105   0.1573   0.0668  -0.1221  -0.3977  -0.0337   0.0626  -0.0185  -0.1295   0.0008   0.0128  -0.0089   0.0259  -0.0323   0.0242  -0.0024   0.0000
  0.8748  -1.0540   0.3814  -0.1597  -0.0689  -0.0741  -0.0078   0.0165  -0.0135  -0.0180  -0.2135   0.0439  -0.0412  -0.0423  -0.0141   0.0204   0.0069  -0.0097   0.0338  -0.0000
  1.0323   0.8640  -0.1448   0.0224  -0.1326   0.2271  -0.0821  -0.3137   0.2628   0.1471  -0.0370   0.0984   0.0211  -0.0220   0.0149   0.0001  -0.0034   0.0083   0.0115   0.0000
  1.0388   0.7840   0.1801  -0.4517   0.3129  -0.0226  -0.1140  -0.0574   0.0165  -0.2331   0.0073   0.0085  -0.0413  -0.0812  -0.0319  -0.0371  -0.0145   0.0182  -0.0078  -0.0000

Use first two eigenvalues
 -0.9263  -0.9660
  0.4297  -0.3633
 -1.3568   0.1115
 -1.3279   0.0183
  1.3328   0.3313
 -1.1187   0.0222
 -0.4867   0.8993
  1.0864  -0.7934
 -1.2273   0.0834
  1.2195  -0.5358
  1.1118  -0.6239
 -1.3216   0.2115
 -0.8891  -0.4360
 -1.2400   0.1444
 -1.0444   0.3526
 -1.2674  -0.4726
 -0.9906  -0.8333
  0.8748  -1.0540
  1.0323   0.8640
  1.0388   0.7840
SSt for first two components, communality is the diagonal
  1.7911  -0.0470   1.1491   1.2122  -1.5545   1.0148  -0.4179  -0.2399   1.0562  -0.6120  -0.4271   1.0198   1.2447   1.0090   0.6267   1.6305   1.7225   0.2078  -1.7908  -1.7196
 -0.0470   0.3166  -0.6235  -0.5772   0.4523  -0.4887  -0.5358   0.7551  -0.5576   0.7187   0.7044  -0.6447  -0.2236  -0.5852  -0.5768  -0.3729  -0.1229   0.7588   0.1297   0.1615
  1.1491  -0.6235   1.8535   1.8038  -1.7715   1.5204   0.7606  -1.5626   1.6745  -1.7144  -1.5781   1.8167   1.1577   1.6985   1.4564   1.6670   1.2513  -1.3045  -1.3044  -1.3221
  1.2122  -0.5772   1.8038   1.7636  -1.7637   1.4859   0.6628  -1.4572   1.6312  -1.6292  -1.4878   1.7587   1.1726   1.6492   1.3933   1.6743   1.3001  -1.1810  -1.3549  -1.3650
 -1.5545   0.4523  -1.7715  -1.7637   1.8861  -1.4837  -0.3508   1.1852  -1.6081   1.4479   1.2752  -1.6913  -1.3294  -1.6048  -1.2751  -1.8458  -1.5964   0.8168   1.6621   1.6443
  1.0148  -0.4887   1.5204   1.4859  -1.4837   1.2520   0.5644  -1.2330   1.3748  -1.3762  -1.2577   1.4831   0.9849   1.3904   1.1762   1.4074   1.0897  -1.0021  -1.1357  -1.1447
 -0.4179  -0.5358   0.7606   0.6628  -0.3508   0.5644   1.0455  -1.2423   0.6723  -1.0754  -1.1022   0.8334   0.0407   0.7333   0.8254   0.1919  -0.2672  -1.3736   0.2745   0.1995
 -0.2399   0.7551  -1.5626  -1.4572   1.1852  -1.2330  -1.2423   1.8099  -1.3995   1.7501   1.7030  -1.6036  -0.6200  -1.4617  -1.4144  -1.0020  -0.4151   1.7867   0.4360   0.5065
  1.0562  -0.5576   1.6745   1.6312  -1.6081   1.3748   0.6723  -1.3995   1.5131  -1.5413  -1.4165   1.6395   1.0547   1.5338   1.3111   1.5160   1.1462  -1.1616  -1.1948  -1.2095
 -0.6120   0.7187  -1.7144  -1.6292   1.4479  -1.3762  -1.0754   1.7501  -1.5413   1.7743   1.6902  -1.7250  -0.8506  -1.5895  -1.4626  -1.2924  -0.7616   1.6316   0.7960   0.8467
 -0.4271   0.7044  -1.5781  -1.4878   1.2752  -1.2577  -1.1022   1.7030  -1.4165   1.6902   1.6254  -1.6013  -0.7165  -1.4687  -1.3812  -1.1143  -0.5815   1.6302   0.6087   0.6658
  1.0198  -0.6447   1.8167   1.7587  -1.6913   1.4831   0.8334  -1.6036   1.6395  -1.7250  -1.6013   1.7913   1.0827   1.6692   1.4548   1.5750   1.1329  -1.3791  -1.1815  -1.2070
  1.2447  -0.2236   1.1577   1.1726  -1.3294   0.9849   0.0407  -0.6200   1.0547  -0.8506  -0.7165   1.0827   0.9805   1.0395   0.7748   1.3328   1.2440  -0.3183  -1.2945  -1.2654
  1.0090  -0.5852   1.6985   1.6492  -1.6048   1.3904   0.7333  -1.4617   1.5338  -1.5895  -1.4687   1.6692   1.0395   1.5584   1.3459   1.5033   1.1080  -1.2370  -1.1553  -1.1749
  0.6267  -0.5768   1.4564   1.3933  -1.2751   1.1762   0.8254  -1.4144   1.3111  -1.4626  -1.3812   1.4548   0.7748   1.3459   1.2151   1.1570   0.7408  -1.2853  -0.7735  -0.8084
  1.6305  -0.3729   1.6670   1.6743  -1.8458   1.4074   0.1919  -1.0020   1.5160  -1.2924  -1.1143   1.5750   1.3328   1.5033   1.1570   1.8297   1.6493  -0.6107  -1.7167  -1.6871
  1.7225  -0.1229   1.2513   1.3001  -1.5964   1.0897  -0.2672  -0.4151   1.1462  -0.7616  -0.5815   1.1329   1.2440   1.1080   0.7408   1.6493   1.6757   0.0116  -1.7426  -1.6824
  0.2078   0.7588  -1.3045  -1.1810   0.8168  -1.0021  -1.3736   1.7867  -1.1616   1.6316   1.6302  -1.3791  -0.3183  -1.2370  -1.2853  -0.6107   0.0116   1.8762  -0.0075   0.0824
 -1.7908   0.1297  -1.3044  -1.3549   1.6621  -1.1357   0.2745   0.4360  -1.1948   0.7960   0.6087  -1.1815  -1.2945  -1.1553  -0.7735  -1.7167  -1.7426  -0.0075   1.8122   1.7498
 -1.7196   0.1615  -1.3221  -1.3650   1.6443  -1.1447   0.1995   0.5065  -1.2095   0.8467   0.6658  -1.2070  -1.2654  -1.1749  -0.8084  -1.6871  -1.6824   0.0824   1.7498   1.6938

Factor score coefficients B Matrix:
     -0.0386      -0.1365      -0.0784      -0.1067       0.0266       0.0150      -0.2984       0.2822       0.9152      -0.6888      -0.1891       1.0945       1.1978       1.1332       0.3541       0.7641      -0.4355       2.2078      -3.3030 -1911976966157642.7500
      0.0179      -0.0513      -0.1984      -0.3976      -0.1840       0.2782       0.4558       0.2965      -0.1491       0.1543       0.3919       0.0859      -0.3732      -0.4600      -0.0902       0.0124      -0.8283       0.5770       1.6522 2962027584283925.5000
     -0.0566       0.0157       0.0340      -0.0224       0.0526      -0.3046       0.4205      -0.1355       0.1047      -0.2525       0.0601       0.0929       1.3592       0.1442      -2.2985      -0.7033       3.2432       3.5002       4.8356 3816230157724255.0000
     -0.0554       0.0026       0.0961       0.0047      -0.0218      -0.1737       0.4852       0.0452       0.7473      -0.2625      -0.1295      -0.3948       0.0597      -0.8794       0.7388      -0.4895      -4.7870      -4.8865       0.0555 1841371628790124.2500
      0.0556       0.0468       0.0562      -0.1112       0.1389      -0.0500      -0.1433      -0.0970       0.1559      -0.8141       0.5388      -0.2731      -0.3674       2.1126       0.5842       3.0938       1.0896      -3.0272       3.8508 3775336977273680.0000
     -0.0466       0.0031      -0.1612       0.0754      -0.1350      -0.2693      -0.7320       0.3166       0.0306       0.1178       0.1506      -0.3408      -0.8907      -1.1432      -0.5194       0.1034      -1.4741       0.2240       3.6985 4629249030639415.0000
     -0.0203       0.1270       0.1262      -0.3187       0.2216      -0.0553      -0.2658       0.5425       0.0107       0.8989      -0.6079      -0.3716       0.9513       0.4974       0.3340      -0.2932       0.3425      -0.7172       0.3402 -329104769633573.1875
      0.0453      -0.1121       0.1254      -0.0262      -0.0417      -0.0769      -0.0614      -0.0199      -0.1064       0.1569      -0.6248       0.4751      -0.2738      -0.5059      -0.1221      -0.3860       1.7029      -0.8459      -8.5095 7517637122918923.0000
     -0.0512       0.0118       0.1591      -0.0100      -0.1982       0.1746      -0.0817       0.0353      -0.2702      -0.5295       0.1069      -0.1002       0.3778      -1.0222       4.0467      -0.4006       1.4791       2.8545       2.7456 1776195864056801.2500
      0.0508      -0.0757       0.1327       0.0117      -0.0071      -0.0380      -0.1092       0.1241       0.0223       0.1503       0.5405       0.3830      -0.4511       2.3306       0.0175      -3.9376      -2.9101       1.7653       4.0315 934798029736867.3750
      0.0464      -0.0881       0.1442      -0.0315      -0.0743      -0.1101      -0.1353       0.1256       0.1711       0.4706       1.4143      -0.0517       1.4406      -2.2160      -0.6045       1.2029       0.2830      -0.7022      -0.0561 -1779068686043858.2500
     -0.0551       0.0299       0.0280      -0.1280       0.0285      -0.2618       0.0067      -0.2963      -0.7752       0.1838       0.3520       2.2751      -0.3988       0.1851       0.4108       1.0711      -2.0447      -0.8491      -0.7861 -685962894416936.2500
     -0.0371      -0.0616       0.0121       0.1713       0.5443       0.4361       0.0209       0.2053      -0.1118       0.1420       0.2409       0.5952      -0.0321      -0.9414      -0.3649       0.3355      -0.7231      -0.2671       2.4807 2975119956642624.5000
     -0.0517       0.0204       0.1628      -0.0219      -0.0761       0.0627       0.1272       0.2064       0.6277       0.3582       0.3945       0.0898      -2.8251       0.2774      -0.9270       1.2433       1.8028       2.5947      -1.6945 -1187699645190531.2500
     -0.0435       0.0498       0.1337      -0.0027      -0.3467       0.4255      -0.2700      -0.0174      -0.2534      -0.4054      -0.1112       0.2209       0.7870       0.5624      -2.9248      -0.0100      -0.9382      -2.6732       0.1650 524537282023577.5625
     -0.0528      -0.0668      -0.0603      -0.1531       0.0830       0.0360      -0.2221      -0.4032       0.2258       0.0175       0.4218      -0.0543      -0.5280      -0.1472       0.3608      -2.8575       4.4003      -5.3125       0.4303 -1302891563420811.2500
     -0.0413      -0.1177       0.0486      -0.1796       0.1046       0.0544      -0.1960      -0.7846      -0.1217       0.3187      -0.1037      -1.4675       0.0151       0.3667      -0.3137       1.1405      -2.9146       2.9661      -0.6515 392917314158334.8125
      0.0365      -0.1489       0.0929      -0.0699      -0.0458      -0.0604      -0.0125       0.0325      -0.0488      -0.0917      -1.1954       0.4977      -0.7428      -1.2170      -0.4955       0.8970       0.6200      -1.1912       9.0767 -2708108212090720.5000
      0.0430       0.1220      -0.0353       0.0098      -0.0882       0.1850      -0.1318      -0.6189       0.9496       0.7490      -0.2069       1.1152       0.3806      -0.6337       0.5234       0.0023      -0.3093       1.0118       3.0819 2319629066414516.5000
      0.0433       0.1107       0.0439      -0.1976       0.2081      -0.0184      -0.1830      -0.1132       0.0596      -1.1869       0.0409       0.0967      -0.7458      -2.3356      -1.1208      -1.6308      -1.3106       2.2262      -2.1059 -1017822589505833.3750
NIST shows B with a mistake, -.18 for -1.2 (-1.18 with a typo)

Work with first normalized observation row
2.1588 0.4196 0.2408 0.3122 -0.4266 0.7765 -0.4104 0.0503 0.0635 -0.1331 -0.0852 0.0909 0.5619 0.0750 -0.0503 0.9992 0.7391 0.4129 -0.5195 -0.5836
compute the "factor scores" from multiplying by B
-0.3135 -0.7445 -0.4073 -0.2863 0.1094 0.0486 -0.7417 0.2768 1.5985 -0.9184 -0.2129 1.2410 0.9059 0.6024 0.1300 0.2783 -0.1944 0.7181 -0.4396 9.7500
NIST implies you might chart these
Compute the scores using V, these are more familiar
-1.5352 -1.9810 -0.8254 -0.4328 0.1341 0.0538 -0.5854 0.1971 0.8408 -0.4070 -0.0900 0.3687 0.2132 0.1123 0.0219 0.0420 -0.0205 0.0648 -0.0268 0.0000
Calculate T2 from the scores, sum ti*ti/evi
Hotelling T2=83.8990
Fit z1 using first two principal components
p=
   -0.1891    -0.3631
    0.0877    -0.1365
   -0.2771     0.0419
   -0.2711     0.0069
    0.2721     0.1245
   -0.2284     0.0083
   -0.0994     0.3380
    0.2218    -0.2982
   -0.2506     0.0314
    0.2490    -0.2014
    0.2270    -0.2345
   -0.2699     0.0795
   -0.1815    -0.1639
   -0.2532     0.0543
   -0.2133     0.1325
   -0.2588    -0.1776
   -0.2023    -0.3132
    0.1786    -0.3961
    0.2108     0.3247
    0.2121     0.2947
  z1=  2.158775   0.419642   0.240819   0.312210  -0.426631   0.776538  -0.410431   0.050297   0.063491  -0.133083  -0.085158   0.090870   0.561950   0.075022  -0.050272   0.999180   0.739103   0.412921  -0.519456  -0.583586
zhat=  1.009570   0.135806   0.342339   0.402591  -0.664445   0.334152  -0.516963   0.250175   0.322599   0.016673   0.116000   0.256801   0.603289   0.281175   0.064848   0.749138   0.930926   0.510489  -0.966884  -0.909375
diff=  1.149204   0.283836  -0.101520  -0.090381   0.237813   0.442386   0.106533  -0.199878  -0.259108  -0.149756  -0.201158  -0.165931  -0.041339  -0.206153  -0.115120   0.250042  -0.191824  -0.097569   0.447428   0.325789
Q statistic - distance from the model measurement for the first observation
Q=2.3535
Some experts would compute a corrected Q that is larger since the
    observation was used in building the model.  The Q calculation just used
    properly applies to the analysis of new observations.
Corrected Q=3.3621 (factor=1.4286)

2 20 0 23.98452401384438 7.079417466490334 4.107252876447767 2.2857661878148186 1.5035216967767973 1.227416954505891 0.6230333775159664 0.5069566115473982 0.27670425055170256 0.1964206006213267 0.17862181573454805 0.0882747388536913 0.05540969090662884 0.03477279020897228 0.02844095745930275 0.022735819481830788 0.011072639074573232 0.008154715965851267 0.0037250184200665615 -2.1316282072803006e-14

2 20 20 0.189134436064851 0.3630563631361684 0.1589799179197121 -0.1612798657388499 0.03259064438401236 0.01660753545523699 -0.23552271138161374 -0.20094230065514318 -0.4814341819965956 0.30525465829380033 0.07992453889826648 0.3251950685305791 0.2819600741393152 0.21131540304886015 0.059717874822211046 0.11521477601988288 -0.04582641609084355 0.19937483558794525 -0.2015940710041365 0.1528390236816455 -0.08773405217004915 0.13654586590582427 0.40200401724057033 -0.6010993697273288 -0.2256575772728233 0.30824215896775 0.3597899358501554 -0.21114375026296348 0.07842039582423702 -0.06836273302467485 -0.16563339651845654 0.025515116889703912 -0.08785291303975598 -0.08578684620040884 -0.015204951419749813 0.0018705443378655617 -0.08716063008067378 0.052104199480384035 0.10084086620178748 -0.23677764539662133 0.2770551578798694 -0.04189653360950521 -0.06894923643334147 -0.033802468771251745 0.06454945161470069 -0.3374105497810256 0.3319428836526297 0.0964857916615706 -0.0550517703292853 0.11189488828167302 -0.025391562267431944 0.02759460356842248 0.31994619764557636 0.0268843846770932 -0.3876252842288373 -0.10605203758720497 0.34127196777432356 0.3160775942781882 0.2951283438250511 -0.305060626657404 0.2711368741930273 -0.006895073720594398 -0.19485413546188166 0.007141589316902769 -0.026693592499815896 -0.192424854564469 0.38295803922353394 -0.032155598717840406 -0.39308151253283685 0.11631651169943275 0.054733764425731156 -0.11730086269761288 0.014063530984578325 -0.16398762217885596 0.12458682537153763 -0.07381627543061627 -0.5037180750326442 -0.4412701499263254 0.003385925520154466 -0.14719499604882166 -0.2721477956895943 -0.12450484091052316 -0.11389953137549441 -0.1681325542838124 0.17037554023376283 -0.05540162238620366 -0.11312225492760473 0.06904883810144978 -0.08200565190355437 0.3607970174231387 -0.22772913221186883 -0.08112711988088309 -0.0864768091118076 0.39395393075899077 0.09851534090745451 0.46649340917416937 0.11465160871874516 -0.2733653658059935 0.23502800155109904 -0.30179172023936457 0.2284275829981912 -0.008344597770532479 0.3266518674811593 0.11404850902958767 -0.16558646272268354 -0.2983188451855899 -0.5777834960258678 -0.22542791470882192 -0.016080764936588464 -0.052204630519358156 -0.06363831620795325 -0.10126926735725425 -0.20967294059105412 -0.21318273605262258 -0.08759828317177851 0.015585051522738405 -0.1551180216671534 0.02022488635785833 0.22573047585512435 -0.37005147799620586 0.09937668451503125 -0.3379757779930423 -0.25582960959673284 -0.48187495919983386 0.2717431112543524 -0.06126772490893707 -0.2098261466803199 -0.38623284137832703 -0.005607811374056538 -0.3984075365051465 0.2569053612128586 -0.11040817600664649 0.22392992891074154 0.09275846116155886 0.05633480115505873 -0.04421021433813106 0.036040974164397326 -0.0647619392750579 0.020763063335150777 0.02630787534049516 -0.22183962981635827 0.2982063780450707 -0.2540720965501012 -0.03966394242862936 -0.05114912799445744 -0.08521880252428678 -0.04850224275613167 0.014180282866125741 0.0559659262459503 -0.06955723844800558 0.26407390598427194 0.14114261387442006 -0.06444970943956932 -0.09434662673296644 -0.020593542215606043 -0.058197843434521765 0.1791867590628306 -0.07638655164160293 -0.5193599000491013 -0.6009425524428764 0.25059331592410106 -0.03135427150822636 -0.32243858749091864 -0.015068239376672243 -0.24304352228214815 0.1934554520168258 -0.06452099558942584 -0.02514470256877096 0.14213623636815287 0.23466868103509125 -0.04518978283598028 -0.02978252515593044 0.08893466614298766 -0.19061280754718035 0.6824460032768058 -0.060406176637615376 0.1556418059220145 0.2577732559189339 0.16756902052162045 -0.1419849959151229 -0.2490102000003598 0.20139098234329275 -0.26897654447460745 0.017673259930891118 -0.008677675135485625 -0.042112175072279025 -0.08616013455048224 -0.08838322690405971 -0.011730882894435166 -0.0665978587450127 -0.22845601738339227 0.1137824199829826 -0.10618364504522976 0.43460266521296553 0.0029573910428708715 -0.5937225430188479 -0.3062232921892992 0.15940953713387332 0.24605247286526033 -0.07472559593253957 -0.2270239188003584 0.2344926615223557 -0.2921616519863595 -0.04765315783015321 -0.09105722032043702 -0.12195745473351614 -0.10676115433946991 -0.08945787497426311 -0.09002713267427861 -0.20855600147415027 -0.5977167134531679 -0.01534641475972085 0.3391022671636869 -0.41321907031846233 -0.10194770717865906 0.1813808093491903 0.029777764702128767 -0.06341131004540997 -0.0034229966719344905 0.1422146426707136 0.2698503554266472 -0.07949234228066296 -0.05664871568552344 -0.19349942188310423 0.034976465272070226 -0.2899948520573161 0.005315514541201095 0.2109847099559249 0.4077763760602738 -0.08145619799279623 -0.1487806116824149 0.6759662498974673 -0.09386333787053612 0.03451396453777454 0.06927701045688198 0.16150794856127443 -0.2151529764979542 -0.07667929560726532 -0.047976817391425064 0.05483428980584321 0.18153813503768637 0.16385306233826888 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  0 |   56.805 |    4.937  104.462
  1 |   16.767 |    5.039  106.615
  2 |    9.728 |    5.020  106.216
  3 |    5.414 |    4.965  105.052
  4 |    3.561 |    5.005  105.899
  5 |    2.907 |    5.004  105.865
  6 |    1.476 |    4.983  105.431
  7 |    1.201 |    5.030  106.409
  8 |    0.655 |    4.964  105.017
  9 |    0.465 |    5.020  106.201
 10 |    0.423 |    4.991  105.600
 11 |    0.209 |    5.072  107.304
 12 |    0.131 |    4.986  105.494
 13 |    0.082 |    4.983  105.429
 14 |    0.067 |    4.999  105.763
 15 |    0.054 |    5.010  105.992
 16 |    0.026 |    4.992  105.622
 17 |    0.019 |    5.018  106.163
 18 |    0.009 |    5.083  107.531
 19 |   -0.000 |    4.898  103.621
