Chromatic Adaptation

The chromatic adaptation algorithms on this web site may all be implemented as a linear transformation of a source color ($X_S$, $Y_S$, $Z_S$) into a destination color ($X_D$, $Y_D$, $Z_D$) by a linear transformation $[M]$ which is dependent on the source reference white ($X_{WS}$, $Y_{WS}$, $Z_{WS}$) and the destination reference white ($X_{WD}$, $Y_{WD}$, $Z_{WD}$):

$$\left[\matrix{X_D\\Y_D\\Z_D}\right] = [M]\left[\matrix{X_S\\Y_S\\Z_S}\right]$$

The idea behind all of these algorithms is to follow three steps:

  1. Transform from XYZ into a cone response domain, ($\rho$, $\gamma$, $\beta$).
  2. Scale the vector components by factors dependent upon both the source and destination reference whites.
  3. Transform from ($\rho$, $\gamma$, $\beta$) back to XYZ using the inverse transform of step 1.

These steps are represented by the three matrices shown here on the right:

$$[M] = {[M_A]}^{-1}\left[\matrix{{\rho_D/\rho_S} & 0 & 0 \\ 0 & {\gamma_D/\gamma_S} & 0 \\ 0 & 0 & {\beta_D/\beta_S}}\right][M_A]$$ $$\left[\matrix{\rho_S \\ \gamma_S \\ \beta_S}\right] = [M_A]\left[\matrix{X_{WS} \\ Y_{WS} \\ Z_{WS}}\right]$$ $$\left[\matrix{\rho_D \\ \gamma_D \\ \beta_D}\right] = [M_A]\left[\matrix{X_{WD} \\ Y_{WD} \\ Z_{WD}}\right]$$

Three methods are presented here: XYZ Scaling, Bradford and Von Kries. The differences among the three methods lie in the definition of the cone response domains, $[M_A]$.

Method [MA] [MA]-1
XYZ Scaling 
 1.0000000  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.0000000
 
 1.0000000  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.0000000
Bradford 
 0.8951000  0.2664000 -0.1614000
-0.7502000  1.7135000  0.0367000
 0.0389000 -0.0685000  1.0296000
 
 0.9869929 -0.1470543  0.1599627
 0.4323053  0.5183603  0.0492912
-0.0085287  0.0400428  0.9684867
Von Kries 
 0.4002400  0.7076000 -0.0808100
-0.2263000  1.1653200  0.0457000
 0.0000000  0.0000000  0.9182200
 
 1.8599364 -1.1293816  0.2198974
 0.3611914  0.6388125 -0.0000064
 0.0000000  0.0000000  1.0890636

XYZ Scaling is generally considered to be an inferior chromatic adaptation algorithm. Incidentally, this is the method that would result from transforming the source XYZ color to Lab using ($X_{WS}$, $Y_{WS}$, $Z_{WS}$) followed by conversion back to XYZ using ($X_{WD}$, $Y_{WD}$, $Z_{WD}$).

The Bradford method is the newest of the three methods, and is considered by most experts to be the best of them. This is the method used in Adobe Photoshop. A related article comparing the chromatic adaptation algorithms may be found here.

Some Common Chromatic Adaptation Matrices

I have done the math for you for many of the common chromatic adaptation mappings. Below are some precomputed matrices for $[M]$. In these calculations, the following reference illuminant tristimulus values were used (all come from ASTM E308-01 except B which comes from Wyszecki & Stiles, p. 769):

Illuminant X Y Z
A 1.09850 1.00000 0.35585
B 0.99072 1.00000 0.85223
C 0.98074 1.00000 1.18232
D50 0.96422 1.00000 0.82521
D55 0.95682 1.00000 0.92149
D65 0.95047 1.00000 1.08883
D75 0.94972 1.00000 1.22638
E 1.00000 1.00000 1.00000
F2 0.99186 1.00000 0.67393
F7 0.95041 1.00000 1.08747
F11 1.00962 1.00000 0.64350

Here are the adaptation matrices:

From To Adaptation Method
XYZ Scaling Bradford Von Kries
A B 
 0.9018844  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  2.3949136
 
 0.8905163 -0.0829136  0.2680945
-0.0971524  1.0754262  0.0879463
 0.0538970 -0.0908558  2.4838553
 
 0.9574884 -0.1643613  0.2902356
-0.0180539  1.0185379  0.0036373
 0.0000000  0.0000000  2.3949136
C 
 0.8927993  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  3.3225235
 
 0.8530161 -0.1130268  0.4404346
-0.1238786  1.0853435  0.1425803
 0.0911907 -0.1553658  3.4776250
 
 0.9418277 -0.2249131  0.4806950
-0.0247051  1.0253682  0.0049749
 0.0000000  0.0000000  3.3225235
D50 
 0.8777606  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  2.3189827
 
 0.8779529 -0.0915288  0.2566181
-0.1117372  1.0924325  0.0851788
 0.0502012 -0.0837636  2.3994031
 
 0.9531871 -0.1809896  0.2757725
-0.0198804  1.0204129  0.0040065
 0.0000000  0.0000000  2.3189827
D55 
 0.8710241  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  2.5895462
 
 0.8644459 -0.1021330  0.3073182
-0.1222890  1.0982532  0.1013945
 0.0609732 -0.1022820  2.6887535
 
 0.9477017 -0.2021983  0.3315105
-0.0222101  1.0228052  0.0044754
 0.0000000  0.0000000  2.5895462
D65 
 0.8652435  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  3.0598005
 
 0.8446965 -0.1179225  0.3948108
-0.1366303  1.1041226  0.1291718
 0.0798489 -0.1348999  3.1924009
 
 0.9394987 -0.2339150  0.4281177
-0.0256939  1.0263828  0.0051761
 0.0000000  0.0000000  3.0598005
D75 
 0.8645608  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  3.4463397
 
 0.8310208 -0.1290882  0.4662974
-0.1456744  1.1060318  0.1517254
 0.0954696 -0.1620076  3.6068968
 
 0.9336695 -0.2564537  0.5073423
-0.0281696  1.0289253  0.0056737
 0.0000000  0.0000000  3.4463397
E 
 0.9103323  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  2.8101728
 
 0.8815963 -0.0908179  0.3439213
-0.1006757  1.0708986  0.1115462
 0.0709158 -0.1206464  2.9302950
 
 0.9532875 -0.1806053  0.3749305
-0.0198382  1.0203706  0.0039951
 0.0000000  0.0000000  2.8101728
F2 
 0.9029222  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.8938598
 
 0.9083396 -0.0683719  0.1754134
-0.0853260  1.0728419  0.0587007
 0.0336526 -0.0557284  1.9465816
 
 0.9650788 -0.1350128  0.1875333
-0.0148302  1.0152272  0.0029893
 0.0000000  0.0000000  1.8938598
F7 
 0.8651889  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  3.0559786
 
 0.8447932 -0.1178395  0.3941104
-0.1365823  1.1041477  0.1289531
 0.0796929 -0.1346275  3.1882950
 
 0.9395426 -0.2337454  0.4273371
-0.0256753  1.0263637  0.0051723
 0.0000000  0.0000000  3.0559786
F11 
 0.9190897  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.8083462
 
 0.9214338 -0.0587653  0.1579041
-0.0725224  1.0609434  0.0526133
 0.0306110 -0.0508982  1.8568836
 
 0.9699644 -0.1161244  0.1692805
-0.0127554  1.0130970  0.0025709
 0.0000000  0.0000000  1.8083462
B A 
 1.1087896  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.4175516
 
 1.1389718  0.0771960 -0.1256680
 0.1046012  0.9341802 -0.0443668
-0.0208883  0.0324959  0.4037039
 
 1.0475866  0.1690489 -0.1272120
 0.0185688  0.9847959 -0.0037460
 0.0000000  0.0000000  0.4175516
C 
 0.9899265  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.3873250
 
 0.9505386 -0.0254257  0.0756230
-0.0305443  1.0089768  0.0249746
 0.0149704 -0.0250917  1.3993642
 
 0.9824697 -0.0622785  0.0817457
-0.0068409  1.0056021  0.0013790
 0.0000000  0.0000000  1.3873250
D50 
 0.9732518  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.9682949
 
 0.9850292 -0.0093910 -0.0026720
-0.0147751  1.0146711 -0.0000389
-0.0017035  0.0035957  0.9660561
 
 0.9951852 -0.0171026 -0.0054296
-0.0018786  1.0015377  0.0003795
 0.0000000  0.0000000  0.9682949
D55 
 0.9657825  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.0812691
 
 0.9674769 -0.0186924  0.0199637
-0.0265230  1.0198211  0.0075752
 0.0025844 -0.0034696  1.0823359
 
 0.9890450 -0.0389162  0.0186211
-0.0042747  1.0034998  0.0008627
 0.0000000  0.0000000  1.0812691
D65 
 0.9593730  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.2776246
 
 0.9415037 -0.0321240  0.0584672
-0.0428238  1.0250998  0.0203309
 0.0101511 -0.0161170  1.2847354
 
 0.9798627 -0.0715373  0.0601219
-0.0078579  1.0064341  0.0015850
 0.0000000  0.0000000  1.2776246
D75 
 0.9586160  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.4390247
 
 0.9232662 -0.0412875  0.0895406
-0.0533960  1.0269180  0.0304876
 0.0164490 -0.0267652  1.4513087
 
 0.9733376 -0.0947188  0.0940283
-0.0104042  1.0085195  0.0020982
 0.0000000  0.0000000  1.4390247
E 
 1.0093669  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.1733922
 
 0.9874297 -0.0056086  0.0320832
-0.0049796  0.9962653  0.0101710
 0.0069424 -0.0120086  1.1794125
 
 0.9952976 -0.0167072  0.0359597
-0.0018352  1.0015032  0.0003695
 0.0000000  0.0000000  1.1733922
F2 
 1.0011507  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.7907842
 
 1.0237573  0.0119487 -0.0403007
 0.0138105  0.9975484 -0.0131781
-0.0081608  0.0137933  0.7840861
 
 1.0084966  0.0301855 -0.0439590
 0.0033157  0.9972846 -0.0006683
 0.0000000  0.0000000  0.7907842
F7 
 0.9593124  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.2760288
 
 0.9416371 -0.0320617  0.0581686
-0.0427619  1.0251198  0.0202354
 0.0100877 -0.0160079  1.2830854
 
 0.9799118 -0.0713629  0.0597898
-0.0078387  1.0064184  0.0015812
 0.0000000  0.0000000  1.2760288
F11 
 1.0190770  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.7550779
 
 1.0400419  0.0213649 -0.0494410
 0.0272759  0.9872237 -0.0167167
-0.0092461  0.0151560  0.7480426
 
 1.0139654  0.0496126 -0.0522728
 0.0054496  0.9955375 -0.0010989
 0.0000000  0.0000000  0.7550779
C A 
 1.1200726  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.3009760
 
 1.2040146  0.1029527 -0.1567072
 0.1407450  0.9280261 -0.0558735
-0.0252839  0.0387607  0.2891656
 
 1.0679098  0.2342445 -0.1548534
 0.0257301  0.9809032 -0.0051913
 0.0000000  0.0000000  0.3009760
B 
 1.0101760  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.7208116
 
 1.0537465  0.0251266 -0.0573939
 0.0321644  0.9914304 -0.0194323
-0.0106963  0.0175083  0.7148758
 
 1.0182822  0.0630638 -0.0600632
 0.0069271  0.9948581 -0.0013971
 0.0000000  0.0000000  0.7208116
D50 
 0.9831556  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.6979583
 
 1.0376976  0.0153932 -0.0582624
 0.0170675  1.0056038 -0.0188973
-0.0120126  0.0204361  0.6906380
 
 1.0132609  0.0457455 -0.0636638
 0.0050248  0.9962695 -0.0010128
 0.0000000  0.0000000  0.6979583
D55 
 0.9756103  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.7793914
 
 1.0186606  0.0061268 -0.0408925
 0.0047723  1.0105478 -0.0128799
-0.0089652  0.0155750  0.7736548
 
 1.0068573  0.0236569 -0.0459285
 0.0025985  0.9980703 -0.0005234
 0.0000000  0.0000000  0.7793914
D65 
 0.9691356  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.9209267
 
 0.9904476 -0.0071683 -0.0116156
-0.0123712  1.0155950 -0.0029282
-0.0035635  0.0067697  0.9181569
 
 0.9972812 -0.0093756 -0.0154171
-0.0010298  1.0007636  0.0002084
 0.0000000  0.0000000  0.9209267
D75 
 0.9683708  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.0372657
 
 0.9706028 -0.0161674  0.0118229
-0.0235618  1.0173098  0.0049041
 0.0009486 -0.0007126  1.0370815
 
 0.9904762 -0.0328494  0.0094473
-0.0036083  1.0026776  0.0007284
 0.0000000  0.0000000  1.0372657
E 
 1.0196382  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.8457947
 
 1.0399770  0.0198119 -0.0336279
 0.0266883  0.9877806 -0.0118030
-0.0056861  0.0089182  0.8429683
 
 1.0133781  0.0461460 -0.0338372
 0.0050688  0.9962378 -0.0010226
 0.0000000  0.0000000  0.8457947
F2 
 1.0113384  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.5700064
 
 1.0795960  0.0368643 -0.0877996
 0.0467792  0.9891161 -0.0295981
-0.0165425  0.0271981  0.5607245
 
 1.0271432  0.0936299 -0.0923019
 0.0102846  0.9923658 -0.0020741
 0.0000000  0.0000000  0.5700064
F7 
 0.9690744  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.9197764
 
 0.9905934 -0.0071084 -0.0118379
-0.0123043  1.0156147 -0.0030004
-0.0036092  0.0068474  0.9169788
 
 0.9973324 -0.0091990 -0.0156597
-0.0010104  1.0007492  0.0002045
 0.0000000  0.0000000  0.9197764
F11 
 1.0294472  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.5442689
 
 1.0971565  0.0464489 -0.0954514
 0.0606741  0.9791562 -0.0326999
-0.0172568  0.0278907  0.5349937
 
 1.0328466  0.1133021 -0.0986501
 0.0124454  0.9907622 -0.0025103
 0.0000000  0.0000000  0.5442689
D50 A 
 1.1392628  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.4312236
 
 1.1573713  0.0872411 -0.1268788
 0.1199410  0.9219445 -0.0455568
-0.0200278  0.0303599  0.4178345
 
 1.0530074  0.1867709 -0.1255459
 0.0205155  0.9836342 -0.0041391
 0.0000000  0.0000000  0.4312236
B 
 1.0274834  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.0327432
 
 1.0153440  0.0093873  0.0028087
 0.0147849  0.9856776  0.0000806
 0.0017354 -0.0036522  1.0351412
 
 1.0048705  0.0171595  0.0056280
 0.0018849  0.9984968 -0.0003808
 0.0000000  0.0000000  1.0327432
C 
 1.0171330  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.4327505
 
 0.9648789 -0.0164148  0.0809482
-0.0160520  0.9941478  0.0258478
 0.0172576 -0.0297025  1.4485796
 
 0.9871374 -0.0453262  0.0899753
-0.0049788  1.0039731  0.0010028
 0.0000000  0.0000000  1.4327505
D55 
 0.9923254  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.1166733
 
 0.9820801 -0.0094156  0.0233811
-0.0118389  1.0049382  0.0078491
 0.0044511 -0.0073485  1.1203775
 
 0.9937887 -0.0218861  0.0248120
-0.0024040  1.0019180  0.0004847
 0.0000000  0.0000000  1.1166733
D65 
 0.9857398  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.3194581
 
 0.9555766 -0.0230393  0.0631636
-0.0282895  1.0099416  0.0210077
 0.0122982 -0.0204830  1.3299098
 
 0.9845002 -0.0546158  0.0676324
-0.0059992  1.0047864  0.0012095
 0.0000000  0.0000000  1.3194581
D75 
 0.9849619  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.4861429
 
 0.9369777 -0.0323563  0.0952771
-0.0389795  1.0115975  0.0314918
 0.0188243 -0.0315280  1.5023535
 
 0.9778997 -0.0778744  0.1026211
-0.0085539  1.0068249  0.0017244
 0.0000000  0.0000000  1.4861429
E 
 1.0371077  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.2118128
 
 1.0025535  0.0036238  0.0359837
 0.0096914  0.9819125  0.0105947
 0.0089181 -0.0160789  1.2208770
 
 1.0001136  0.0003968  0.0427451
 0.0000436  0.9999663 -0.0000100
 0.0000000  0.0000000  1.2118128
F2 
 1.0286657  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.8166770
 
 1.0395725  0.0215350 -0.0388405
 0.0287482  0.9834389 -0.0135220
-0.0067213  0.0106555  0.8116180
 
 1.0134653  0.0474454 -0.0397341
 0.0052115  0.9958424 -0.0010512
 0.0000000  0.0000000  0.8166770
F7 
 0.9856775  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.3178100
 
 0.9557124 -0.0229756  0.0628550
-0.0282266  1.0099623  0.0209090
 0.0122325 -0.0203701  1.3282016
 
 0.9845499 -0.0544408  0.0672896
-0.0059799  1.0047711  0.0012056
 0.0000000  0.0000000  1.3178100
F11 
 1.0470847  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.7798015
 
 1.0562303  0.0310026 -0.0482555
 0.0422615  0.9734013 -0.0171480
-0.0078657  0.0121201  0.7743049
 
 1.0189974  0.0669372 -0.0482967
 0.0073526  0.9941346 -0.0014833
 0.0000000  0.0000000  0.7798015
D55 A 
 1.1480738  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.3861681
 
 1.1802853  0.0968577 -0.1385564
 0.1334256  0.9182995 -0.0498798
-0.0216899  0.0327363  0.3731642
 
 1.0600958  0.2095703 -0.1360743
 0.0230198  0.9822541 -0.0046445
 0.0000000  0.0000000  0.3861681
B 
 1.0354299  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.9248391
 
 1.0341856  0.0188903 -0.0192078
 0.0269143  0.9810324 -0.0073626
-0.0023832  0.0030997  0.9239498
 
 1.0112458  0.0392165 -0.0174465
 0.0043077  0.9966794 -0.0008694
 0.0000000  0.0000000  0.9248391
C 
 1.0249995  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.2830524
 
 0.9821687 -0.0067531  0.0518013
-0.0044921  0.9893393  0.0162333
 0.0114719 -0.0199953  1.2928395
 
 0.9932501 -0.0235426  0.0585151
-0.0025860  1.0019947  0.0005205
 0.0000000  0.0000000  1.2830524
D50 
 1.0077340  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.8955170
 
 1.0184567  0.0093864 -0.0213199
 0.0120291  0.9951460 -0.0072228
-0.0039673  0.0064899  0.8925936
 
 1.0063032  0.0219819 -0.0223692
 0.0024146  0.9981384 -0.0004869
 0.0000000  0.0000000  0.8955170
D65 
 0.9933634  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.1815972
 
 0.9726856 -0.0135482  0.0361731
-0.0167463  1.0049102  0.0120598
 0.0070026 -0.0116372  1.1869548
 
 0.9905739 -0.0328729  0.0385701
-0.0036109  1.0027841  0.0007280
 0.0000000  0.0000000  1.1815972
D75 
 0.9925796  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.3308663
 
 0.9535040 -0.0227860  0.0653011
-0.0276552  1.0065257  0.0216339
 0.0128323 -0.0214482  1.3408176
 
 0.9838756 -0.0562333  0.0700620
-0.0061768  1.0047626  0.0012453
 0.0000000  0.0000000  1.3308663
E 
 1.0451287  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.0851990
 
 1.0209581  0.0132500  0.0107183
 0.0216398  0.9773060  0.0021580
 0.0040457 -0.0079939  1.0896730
 
 1.0064186  0.0223804  0.0159070
 0.0024583  0.9981057 -0.0004969
 0.0000000  0.0000000  1.0851990
F2 
 1.0366213  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.7313481
 
 1.0591726  0.0309362 -0.0569879
 0.0411624  0.9788474 -0.0197857
-0.0099371  0.0158080  0.7245114
 
 1.0199680  0.0696350 -0.0582760
 0.0076489  0.9941031 -0.0015429
 0.0000000  0.0000000  0.7313481
F7 
 0.9933007  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.1801213
 
 0.9728260 -0.0134855  0.0358942
-0.0166815  1.0049307  0.0119703
 0.0069439 -0.0115365  1.1854306
 
 0.9906243 -0.0326972  0.0382619
-0.0035916  1.0027692  0.0007241
 0.0000000  0.0000000  1.1801213
F11 
 1.0551828  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.6983255
 
 1.0762891  0.0404531 -0.0658152
 0.0548187  0.9689618 -0.0232379
-0.0109370  0.0170126  0.6912198
 
 1.0255820  0.0892121 -0.0660772
 0.0097993  0.9924455 -0.0019769
 0.0000000  0.0000000  0.6983255
D65 A 
 1.1557440  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.3268187
 
 1.2164557  0.1109905 -0.1549325
 0.1533326  0.9152313 -0.0559953
-0.0239469  0.0358984  0.3147529
 
 1.0710732  0.2441000 -0.1502741
 0.0268127  0.9804060 -0.0054100
 0.0000000  0.0000000  0.3268187
B 
 1.0423475  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.7827025
 
 1.0641402  0.0325780 -0.0489436
 0.0446103  0.9766379 -0.0174854
-0.0078485  0.0119945  0.7785377
 
 1.0211332  0.0725821 -0.0481421
 0.0079726  0.9941737 -0.0016085
 0.0000000  0.0000000  0.7827025
C 
 1.0318474  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.0858628
 
 1.0097785  0.0070419  0.0127971
 0.0123113  0.9847094  0.0032962
 0.0038284 -0.0072331  1.0891639
 
 1.0027359  0.0093941  0.0167846
 0.0010319  0.9992466 -0.0002089
 0.0000000  0.0000000  1.0858628
D50 
 1.0144665  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.7578869
 
 1.0478112  0.0228866 -0.0501270
 0.0295424  0.9904844 -0.0170491
-0.0092345  0.0150436  0.7521316
 
 1.0160803  0.0552297 -0.0521326
 0.0060666  0.9955661 -0.0012235
 0.0000000  0.0000000  0.7578869
D55 
 1.0066809  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.8463121
 
 1.0285405  0.0135022 -0.0314825
 0.0172109  0.9952227 -0.0106363
-0.0058993  0.0096778  0.8425735
 
 1.0096364  0.0330975 -0.0329773
 0.0036355  0.9973428 -0.0007332
 0.0000000  0.0000000  0.8463121
D75 
 0.9992109  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.1263283
 
 0.9799401 -0.0091708  0.0252447
-0.0112490  1.0015532  0.0083931
 0.0049195 -0.0081963  1.1295615
 
 0.9931522 -0.0235200  0.0268900
-0.0025835  1.0018884  0.0005209
 0.0000000  0.0000000  1.1263283
E 
 1.0521111  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.9184170
 
 1.0502616  0.0270757 -0.0232523
 0.0390650  0.9729502 -0.0092579
-0.0024047  0.0026446  0.9180873
 
 1.0161982  0.0556310 -0.0197431
 0.0061107  0.9955349 -0.0012334
 0.0000000  0.0000000  0.9184170
F2 
 1.0435469  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.6189488
 
 1.0902706  0.0445381 -0.0816910
 0.0593007  0.9745354 -0.0283781
-0.0142228  0.0226100  0.6105988
 
 1.0300500  0.1032084 -0.0830066
 0.0113367  0.9917148 -0.0022869
 0.0000000  0.0000000  0.6189488
F7 
 0.9999369  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.9987510
 
 1.0001471  0.0000616 -0.0002400
 0.0000675  1.0000204 -0.0000777
-0.0000497  0.0000847  0.9987166
 
 1.0000515  0.0001770 -0.0002626
 0.0000194  0.9999858 -0.0000039
 0.0000000  0.0000000  0.9987510
F11 
 1.0622324  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.5910014
 
 1.1080915  0.0541551 -0.0897687
 0.0731970  0.9648481 -0.0316116
-0.0150340  0.0234731  0.5825669
 
 1.0357893  0.1229193 -0.0898083
 0.0135018  0.9901328 -0.0027239
 0.0000000  0.0000000  0.5910014
D75 A 
 1.1566567  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.2901629
 
 1.2435770  0.1208481 -0.1658524
 0.1672750  0.9148518 -0.0601088
-0.0254024  0.0378929  0.2789367
 
 1.0791580  0.2689739 -0.1593077
 0.0295449  0.9792517 -0.0059615
 0.0000000  0.0000000  0.2901629
B 
 1.0431706  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.6949151
 
 1.0867460  0.0419224 -0.0679290
 0.0568414  0.9754474 -0.0239981
-0.0112688  0.0175142  0.6893606
 
 1.0284252  0.0965883 -0.0673399
 0.0106095  0.9925489 -0.0021405
 0.0000000  0.0000000  0.6949151
C 
 1.0326623  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.9640731
 
 1.0306965  0.0163719 -0.0118275
 0.0238763  0.9833607 -0.0049222
-0.0009264  0.0006607  0.9642518
 
 1.0097359  0.0330806 -0.0092198
 0.0036337  0.9974486 -0.0007335
 0.0000000  0.0000000  0.9640731
D50 
 1.0152677  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.6728828
 
 1.0699729  0.0320876 -0.0685287
 0.0416191  0.9891382 -0.0233734
-0.0125333  0.0203557  0.6659904
 
 1.0232921  0.0791480 -0.0707522
 0.0086939  0.9938938 -0.0017535
 0.0000000  0.0000000  0.6728828
D55 
 1.0074759  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.7513903
 
 1.0501142  0.0226752 -0.0515090
 0.0290589  0.9938026 -0.0174501
-0.0095853  0.0156802  0.7460274
 
 1.0167459  0.0569040 -0.0535787
 0.0062505  0.9956098 -0.0012606
 0.0000000  0.0000000  0.7513903
D65 
 1.0007897  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.8878406
 
 1.0206905  0.0091588 -0.0228796
 0.0115005  0.9984917 -0.0076762
-0.0043619  0.0072053  0.8853432
 
 1.0069565  0.0236390 -0.0240510
 0.0025966  0.9981762 -0.0005236
 0.0000000  0.0000000  0.8878406
E 
 1.0529419  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.8154079
 
 1.0724049  0.0364864 -0.0448236
 0.0511030  0.9717738 -0.0165588
-0.0064286  0.0092337  0.8128571
 
 1.0234118  0.0795514 -0.0419985
 0.0087382  0.9938637 -0.0017633
 0.0000000  0.0000000  0.8154079
F2 
 1.0443710  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.5495279
 
 1.1136974  0.0538679 -0.0976113
 0.0718591  0.9734042 -0.0339619
-0.0169204  0.0268452  0.5407414
 
 1.0374835  0.1273695 -0.0985244
 0.0139906  0.9901741 -0.0028223
 0.0000000  0.0000000  0.5495279
F7 
 1.0007265  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.8867317
 
 1.0208424  0.0092199 -0.0230959
 0.0115700  0.9985122 -0.0077467
-0.0044060  0.0072802  0.8842074
 
 1.0070088  0.0238168 -0.0242855
 0.0026161  0.9981624 -0.0005276
 0.0000000  0.0000000  0.8867317
F11 
 1.0630712  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.5247150
 
 1.1320328  0.0635755 -0.1052445
 0.0859456  0.9638355 -0.0370682
-0.0176162  0.0274976  0.5159354
 
 1.0433139  0.1471802 -0.1047116
 0.0161667  0.9886461 -0.0032616
 0.0000000  0.0000000  0.5247150
E A 
 1.0985000  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.3558500
 
 1.1548614  0.0823153 -0.1386766
 0.1110042  0.9377198 -0.0487240
-0.0233784  0.0366158  0.3426126
 
 1.0528797  0.1863594 -0.1407391
 0.0204703  0.9836593 -0.0041296
 0.0000000  0.0000000  0.3558500
B 
 0.9907200  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.8522300
 
 1.0129515  0.0053699 -0.0276014
 0.0051233  1.0036715 -0.0087948
-0.0059104  0.0101876  0.8479527
 
 1.0047555  0.0167614 -0.0307970
 0.0018411  0.9985298 -0.0003709
 0.0000000  0.0000000  0.8522300
C 
 0.9807400  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.1823200
 
 0.9622722 -0.0196444  0.0381122
-0.0259182  1.0127717  0.0131466
 0.0067650 -0.0108472  1.1864022
 
 0.9870272 -0.0457193  0.0394321
-0.0050219  1.0040090  0.0010130
 0.0000000  0.0000000  1.1823200
D50 
 0.9642200  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.8252100
 
 0.9977545 -0.0041632 -0.0293713
-0.0097677  1.0183168 -0.0085490
-0.0074169  0.0134416  0.8191853
 
 0.9998864 -0.0003967 -0.0352696
-0.0000436  1.0000338  0.0000098
 0.0000000  0.0000000  0.8252100
D55 
 0.9568200  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.9214900
 
 0.9797934 -0.0133624 -0.0096110
-0.0216865  1.0235002 -0.0018137
-0.0037969  0.0075580  0.9177289
 
 0.9936768 -0.0222811 -0.0145757
-0.0024474  1.0019528  0.0004946
 0.0000000  0.0000000  0.9214900
D65 
 0.9504700  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.0888300
 
 0.9531874 -0.0265906  0.0238731
-0.0382467  1.0288406  0.0094060
 0.0026068 -0.0030332  1.0892565
 
 0.9843908 -0.0550082  0.0210874
-0.0060423  1.0048227  0.0012195
 0.0000000  0.0000000  1.0888300
D75 
 0.9497200  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.2263800
 
 0.9344831 -0.0355691  0.0508059
-0.0490066  1.0307122  0.0182943
 0.0079472 -0.0119897  1.2304226
 
 0.9777920 -0.0782650  0.0501930
-0.0085969  1.0068623  0.0017345
 0.0000000  0.0000000  1.2263800
F2 
 0.9918600  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.6739300
 
 1.0373158  0.0170794 -0.0625353
 0.0191780  1.0011509 -0.0203289
-0.0128300  0.0217881  0.6649719
 
 1.0133481  0.0470450 -0.0685331
 0.0051676  0.9958740 -0.0010415
 0.0000000  0.0000000  0.6739300
F7 
 0.9504100  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.0874700
 
 0.9533246 -0.0265304  0.0236158
-0.0381833  1.0288601  0.0093232
 0.0025528 -0.0029409  1.0878581
 
 0.9844404 -0.0548332  0.0208028
-0.0060230  1.0048074  0.0012157
 0.0000000  0.0000000  1.0874700
F11 
 1.0096200  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.6435000
 
 1.0539136  0.0265245 -0.0708181
 0.0327858  0.9908245 -0.0236103
-0.0137094  0.0227828  0.6344266
 
 1.0188787  0.0665352 -0.0757939
 0.0073084  0.9941652 -0.0014736
 0.0000000  0.0000000  0.6435000
F2 A 
 1.1075152  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.5280222
 
 1.1108436  0.0654914 -0.1020770
 0.0892593  0.9359084 -0.0362665
-0.0166489  0.0256618  0.5144475
 
 1.0383067  0.1380821 -0.1030329
 0.0151673  0.9870182 -0.0030598
 0.0000000  0.0000000  0.5280222
B 
 0.9988506  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.2645675
 
 0.9773601 -0.0123986  0.0500263
-0.0133935  1.0023946  0.0161588
 0.0104080 -0.0177628  1.2756066
 
 0.9916737 -0.0300157  0.0551010
-0.0032970  1.0028226  0.0006642
 0.0000000  0.0000000  1.2645675
C 
 0.9887887  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.7543662
 
 0.9301461 -0.0386152  0.1436063
-0.0431066  1.0113279  0.0466336
 0.0295321 -0.0501939  1.7853816
 
 0.9744947 -0.0919438  0.1574666
-0.0100994  1.0086458  0.0020348
 0.0000000  0.0000000  1.7543662
D50 
 0.9721332  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.2244744
 
 0.9628262 -0.0215790  0.0457172
-0.0280310  1.0172847  0.0156071
 0.0083415 -0.0135344  1.2322804
 
 0.9869554 -0.0470220  0.0479582
-0.0051650  1.0044210  0.0010416
 0.0000000  0.0000000  1.2244744
D55 
 0.9646724  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.3673379
 
 0.9460314 -0.0310871  0.0735630
-0.0395027  1.0224574  0.0248152
 0.0138373 -0.0227352  1.3807080
 
 0.9809382 -0.0687128  0.0780192
-0.0075476  1.0064606  0.0015219
 0.0000000  0.0000000  1.3673379
D65 
 0.9582703  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.6156426
 
 0.9212269 -0.0449128  0.1211620
-0.0553723  1.0277243  0.0403563
 0.0235086 -0.0391019  1.6390644
 
 0.9719399 -0.1011504  0.1299721
-0.0111107  1.0095107  0.0022399
 0.0000000  0.0000000  1.6156426
D75 
 0.9575142  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.8197439
 
 0.9038485 -0.0544241  0.1597390
-0.0656239  1.0294976  0.0528128
 0.0315403 -0.0528125  1.8516893
 
 0.9655456 -0.1242015  0.1724740
-0.0136427  1.0116783  0.0027499
 0.0000000  0.0000000  1.8197439
E 
 1.0082068  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.4838336
 
 0.9654834 -0.0184347  0.0902324
-0.0181044  0.9985320  0.0288236
 0.0192213 -0.0330731  1.5046195
 
 0.9870655 -0.0466289  0.1003043
-0.0051218  1.0043851  0.0010314
 0.0000000  0.0000000  1.4838336
F7 
 0.9582098  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.6136246
 
 0.9213533 -0.0448467  0.1207888
-0.0553131  1.0277453  0.0402379
 0.0234280 -0.0389625  1.6369581
 
 0.9719880 -0.1009770  0.1295549
-0.0110916  1.0094944  0.0022360
 0.0000000  0.0000000  1.6136246
F11 
 1.0179058  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.9548469
 
 1.0156947  0.0093992 -0.0106926
 0.0132620  0.9895464 -0.0040071
-0.0014541  0.0020196  0.9539904
 
 1.0053592  0.0193178 -0.0101990
 0.0021219  0.9981839 -0.0004282
 0.0000000  0.0000000  0.9548469
F7 A 
 1.1558170  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.3272274
 
 1.2162616  0.1109265 -0.1548306
 0.1532455  0.9152079 -0.0559592
-0.0239302  0.0358725  0.3151544
 
 1.0710133  0.2439140 -0.1501795
 0.0267922  0.9804152 -0.0054059
 0.0000000  0.0000000  0.3272274
B 
 1.0424133  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.7836814
 
 1.0639791  0.0325159 -0.0487483
 0.0445370  0.9766166 -0.0174212
-0.0078094  0.0119287  0.7795373
 
 1.0210792  0.0724024 -0.0479336
 0.0079529  0.9941864 -0.0016046
 0.0000000  0.0000000  0.7836814
C 
 1.0319125  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.0872208
 
 1.0096302  0.0069785  0.0130568
 0.0122432  0.9846882  0.0033800
 0.0038825 -0.0073255  1.0905639
 
 1.0026841  0.0092168  0.0170692
 0.0010124  0.9992607 -0.0002049
 0.0000000  0.0000000  1.0872208
D50 
 1.0145306  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.7588347
 
 1.0476532  0.0228258 -0.0499378
 0.0294704  0.9904638 -0.0169869
-0.0091967  0.0149801  0.7530971
 
 1.0160269  0.0550506 -0.0519304
 0.0060469  0.9955792 -0.0012196
 0.0000000  0.0000000  0.7588347
D55 
 1.0067445  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.8473705
 
 1.0283868  0.0134412 -0.0312747
 0.0171406  0.9952022 -0.0105684
-0.0058572  0.0096065  0.8436556
 
 1.0095838  0.0329194 -0.0327530
 0.0036160  0.9973564 -0.0007292
 0.0000000  0.0000000  0.8473705
D65 
 1.0000631  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.0012506
 
 0.9998530 -0.0000616  0.0002403
-0.0000675  0.9999796  0.0000778
 0.0000498 -0.0000848  1.0012851
 
 0.9999485 -0.0001770  0.0002629
-0.0000194  1.0000142  0.0000039
 0.0000000  0.0000000  1.0012506
D75 
 0.9992740  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.1277369
 
 0.9797979 -0.0092332  0.0255119
-0.0113145  1.0015327  0.0084791
 0.0049755 -0.0082922  1.1310137
 
 0.9931015 -0.0236961  0.0271847
-0.0026028  1.0019031  0.0005248
 0.0000000  0.0000000  1.1277369
E 
 1.0521775  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.9195656
 
 1.0501042  0.0270124 -0.0230277
 0.0389931  0.9729287 -0.0091847
-0.0023588  0.0025668  0.9192667
 
 1.0161448  0.0554519 -0.0195004
 0.0060910  0.9955480 -0.0012294
 0.0000000  0.0000000  0.9195656
F2 
 1.0436128  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.6197228
 
 1.0901032  0.0444769 -0.0815305
 0.0592248  0.9745143 -0.0283245
-0.0141918  0.0225586  0.6113819
 
 1.0299949  0.1030276 -0.0828392
 0.0113169  0.9917269 -0.0022829
 0.0000000  0.0000000  0.6197228
F11 
 1.0622994  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.5917405
 
 1.1079204  0.0540934 -0.0896135
 0.0731195  0.9648265 -0.0315596
-0.0150044  0.0234241  0.5833138
 
 1.0357335  0.1227378 -0.0896478
 0.0134819  0.9901444 -0.0027199
 0.0000000  0.0000000  0.5917405
F11 A 
 1.0880331  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  0.5529915
 
 1.0928123  0.0559961 -0.0945162
 0.0754916  0.9451460 -0.0331995
-0.0159459  0.0249839  0.5391848
 
 1.0325220  0.1183509 -0.0968233
 0.0130000  0.9885624 -0.0026223
 0.0000000  0.0000000  0.5529915
B 
 0.9812801  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.3243667
 
 0.9626328 -0.0218020  0.0631369
-0.0263860  1.0131919  0.0208981
 0.0124331 -0.0207976  1.3371793
 
 0.9864912 -0.0491618  0.0682216
-0.0054001  1.0047516  0.0010885
 0.0000000  0.0000000  1.3243667
C 
 0.9713952  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.8373271
 
 0.9166307 -0.0480575  0.1606042
-0.0557153  1.0224336  0.0525528
 0.0324715 -0.0548525  1.8716217
 
 0.9695340 -0.1108744  0.1752191
-0.0121788  1.0107166  0.0024542
 0.0000000  0.0000000  1.8373271
D50 
 0.9550326  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.2823776
 
 0.9484361 -0.0309349  0.0584225
-0.0409965  1.0283794  0.0202198
 0.0102763 -0.0164113  1.2917578
 
 0.9818338 -0.0661090  0.0606837
-0.0072616  1.0063890  0.0014646
 0.0000000  0.0000000  1.2823776
D55 
 0.9477031  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.4319969
 
 0.9320665 -0.0404470  0.0873879
-0.0523468  1.0336952  0.0297671
 0.0160362 -0.0260817  1.4473678
 
 0.9758943 -0.0877243  0.0920931
-0.0096359  1.0084782  0.0019431
 0.0000000  0.0000000  1.4319969
D65 
 0.9414136  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.6920435
 
 0.9078969 -0.0542904  0.1369534
-0.0680190  1.0391336  0.0459049
 0.0261703 -0.0432704  1.7182258
 
 0.9670122 -0.1200490  0.1463934
-0.0131865  1.0116026  0.0026586
 0.0000000  0.0000000  1.6920435
D75 
 0.9406707  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.9057964
 
 0.8909691 -0.0638234  0.1771612
-0.0781180  1.0409951  0.0588569
 0.0345849 -0.0576607  1.9411392
 
 0.9607005 -0.1430199  0.1908275
-0.0157097  1.0138230  0.0031668
 0.0000000  0.0000000  1.9057964
E 
 0.9904717  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.5540016
 
 0.9510791 -0.0278778  0.1051271
-0.0309545  1.0093049  0.0341061
 0.0216636 -0.0368473  1.5772733
 
 0.9819425 -0.0657172  0.1155065
-0.0072186  1.0063522  0.0014543
 0.0000000  0.0000000  1.5540016
F2 
 0.9824092  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.0472883
 
 0.9846860 -0.0093755  0.0109973
-0.0131907  1.0106809  0.0040974
 0.0015289 -0.0021539  1.0482367
 
 0.9947100 -0.0192506  0.0106162
-0.0021145  1.0018603  0.0004267
 0.0000000  0.0000000  1.0472883
F7 
 0.9413542  0.0000000  0.0000000
 0.0000000  1.0000000  0.0000000
 0.0000000  0.0000000  1.6899301
 
 0.9080200 -0.0542240  0.1365639
-0.0679612  1.0391545  0.0457816
 0.0260859 -0.0431241  1.7160176
 
 0.9670597 -0.1198762  0.1459571
-0.0131676  1.0115859  0.0026547
 0.0000000  0.0000000  1.6899301