Character table for the C82h point group

C82h     E        2 C82    2 C41    2 C82^3  2 C41^2  2 C82^5  2 C41^3  2 C82^7  2 C41^4  2 C82^9  2 C41^5  2 C82^11 2 C41^6  2 C82^13 2 C41^7  2 C82^15 2 C41^8  2 C82^17 2 C41^9  2 C82^19 2 C41^10 2 C82^21 2 C41^11 2 C82^23 2 C41^12 2 C82^25 2 C41^13 2 C82^27 2 C41^14 2 C82^29 2 C41^15 2 C82^31 2 C41^16 2 C82^33 2 C41^17 2 C82^35 2 C41^18 2 C82^37 2 C41^19 2 C82^39 2 C41^20 C2       i        2 S82    2 S41    2 S82^3  2 S41^2  2 S82^5  2 S41^3  2 S82^7  2 S41^4  2 S82^9  2 S41^5  2 S82^11 2 S41^6  2 S82^13 2 S41^7  2 S82^15 2 S41^8  2 S82^17 2 S41^9  2 S82^19 2 S41^10 2 S82^21 2 S41^11 2 S82^23 2 S41^12 2 S82^25 2 S41^13 2 S82^27 2 S41^14 2 S82^29 2 S41^15 2 S82^31 2 S41^16 2 S82^33 2 S41^17 2 S82^35 2 S41^18 2 S82^37 2 S41^19 2 S82^39 2 S41^20 sh         <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> 
Ag      1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000     ..T ... ....T ....... ........T ........... ............T
Bg      1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000 -1.00000     ... ... ..... ....... ......... ........... .............
E1g  *  2.00000  1.99413  1.97656  1.94739  1.90679  1.85500  1.79233  1.71914  1.63586  1.54298  1.44104  1.33065  1.21245  1.08714  0.95544  0.81814  0.67603  0.52996  0.38078  0.22937  0.07661 -0.07661 -0.22937 -0.38078 -0.52996 -0.67603 -0.81814 -0.95544 -1.08714 -1.21245 -1.33065 -1.44104 -1.54298 -1.63586 -1.71914 -1.79233 -1.85500 -1.90679 -1.94739 -1.97656 -1.99413 -2.00000  2.00000 -1.99413 -1.97656 -1.94739 -1.90679 -1.85500 -1.79233 -1.71914 -1.63586 -1.54298 -1.44104 -1.33065 -1.21245 -1.08714 -0.95544 -0.81814 -0.67603 -0.52996 -0.38078 -0.22937 -0.07661  0.07661  0.22937  0.38078  0.52996  0.67603  0.81814  0.95544  1.08714  1.21245  1.33065  1.44104  1.54298  1.63586  1.71914  1.79233  1.85500  1.90679  1.94739  1.97656  1.99413 -2.00000     TT. ... ..TT. ....... ......TT. ........... ..........TT.
E2g  *  2.00000  1.97656  1.90679  1.79233  1.63586  1.44104  1.21245  0.95544  0.67603  0.38078  0.07661 -0.22937 -0.52996 -0.81814 -1.08714 -1.33065 -1.54298 -1.71914 -1.85500 -1.94739 -1.99413 -1.99413 -1.94739 -1.85500 -1.71914 -1.54298 -1.33065 -1.08714 -0.81814 -0.52996 -0.22937  0.07661  0.38078  0.67603  0.95544  1.21245  1.44104  1.63586  1.79233  1.90679  1.97656  2.00000  2.00000  1.97656  1.90679  1.79233  1.63586  1.44104  1.21245  0.95544  0.67603  0.38078  0.07661 -0.22937 -0.52996 -0.81814 -1.08714 -1.33065 -1.54298 -1.71914 -1.85500 -1.94739 -1.99413 -1.99413 -1.94739 -1.85500 -1.71914 -1.54298 -1.33065 -1.08714 -0.81814 -0.52996 -0.22937  0.07661  0.38078  0.67603  0.95544  1.21245  1.44104  1.63586  1.79233  1.90679  1.97656  2.00000     ... ... TT... ....... ....TT... ........... ........TT...
E3g  *  2.00000  1.94739  1.79233  1.54298  1.21245  0.81814  0.38078 -0.07661 -0.52996 -0.95544 -1.33065 -1.63586 -1.85500 -1.97656 -1.99413 -1.90679 -1.71914 -1.44104 -1.08714 -0.67603 -0.22937  0.22937  0.67603  1.08714  1.44104  1.71914  1.90679  1.99413  1.97656  1.85500  1.63586  1.33065  0.95544  0.52996  0.07661 -0.38078 -0.81814 -1.21245 -1.54298 -1.79233 -1.94739 -2.00000  2.00000 -1.94739 -1.79233 -1.54298 -1.21245 -0.81814 -0.38078  0.07661  0.52996  0.95544  1.33065  1.63586  1.85500  1.97656  1.99413  1.90679  1.71914  1.44104  1.08714  0.67603  0.22937 -0.22937 -0.67603 -1.08714 -1.44104 -1.71914 -1.90679 -1.99413 -1.97656 -1.85500 -1.63586 -1.33065 -0.95544 -0.52996 -0.07661  0.38078  0.81814  1.21245  1.54298  1.79233  1.94739 -2.00000     ... ... ..... ....... ..TT..... ........... ......TT.....
E4g  *  2.00000  1.90679  1.63586  1.21245  0.67603  0.07661 -0.52996 -1.08714 -1.54298 -1.85500 -1.99413 -1.94739 -1.71914 -1.33065 -0.81814 -0.22937  0.38078  0.95544  1.44104  1.79233  1.97656  1.97656  1.79233  1.44104  0.95544  0.38078 -0.22937 -0.81814 -1.33065 -1.71914 -1.94739 -1.99413 -1.85500 -1.54298 -1.08714 -0.52996  0.07661  0.67603  1.21245  1.63586  1.90679  2.00000  2.00000  1.90679  1.63586  1.21245  0.67603  0.07661 -0.52996 -1.08714 -1.54298 -1.85500 -1.99413 -1.94739 -1.71914 -1.33065 -0.81814 -0.22937  0.38078  0.95544  1.44104  1.79233  1.97656  1.97656  1.79233  1.44104  0.95544  0.38078 -0.22937 -0.81814 -1.33065 -1.71914 -1.94739 -1.99413 -1.85500 -1.54298 -1.08714 -0.52996  0.07661  0.67603  1.21245  1.63586  1.90679  2.00000     ... ... ..... ....... TT....... ........... ....TT.......
E5g  *  2.00000  1.85500  1.44104  0.81814  0.07661 -0.67603 -1.33065 -1.79233 -1.99413 -1.90679 -1.54298 -0.95544 -0.22937  0.52996  1.21245  1.71914  1.97656  1.94739  1.63586  1.08714  0.38078 -0.38078 -1.08714 -1.63586 -1.94739 -1.97656 -1.71914 -1.21245 -0.52996  0.22937  0.95544  1.54298  1.90679  1.99413  1.79233  1.33065  0.67603 -0.07661 -0.81814 -1.44104 -1.85500 -2.00000  2.00000 -1.85500 -1.44104 -0.81814 -0.07661  0.67603  1.33065  1.79233  1.99413  1.90679  1.54298  0.95544  0.22937 -0.52996 -1.21245 -1.71914 -1.97656 -1.94739 -1.63586 -1.08714 -0.38078  0.38078  1.08714  1.63586  1.94739  1.97656  1.71914  1.21245  0.52996 -0.22937 -0.95544 -1.54298 -1.90679 -1.99413 -1.79233 -1.33065 -0.67603  0.07661  0.81814  1.44104  1.85500 -2.00000     ... ... ..... ....... ......... ........... ..TT.........
E6g  *  2.00000  1.79233  1.21245  0.38078 -0.52996 -1.33065 -1.85500 -1.99413 -1.71914 -1.08714 -0.22937  0.67603  1.44104  1.90679  1.97656  1.63586  0.95544  0.07661 -0.81814 -1.54298 -1.94739 -1.94739 -1.54298 -0.81814  0.07661  0.95544  1.63586  1.97656  1.90679  1.44104  0.67603 -0.22937 -1.08714 -1.71914 -1.99413 -1.85500 -1.33065 -0.52996  0.38078  1.21245  1.79233  2.00000  2.00000  1.79233  1.21245  0.38078 -0.52996 -1.33065 -1.85500 -1.99413 -1.71914 -1.08714 -0.22937  0.67603  1.44104  1.90679  1.97656  1.63586  0.95544  0.07661 -0.81814 -1.54298 -1.94739 -1.94739 -1.54298 -0.81814  0.07661  0.95544  1.63586  1.97656  1.90679  1.44104  0.67603 -0.22937 -1.08714 -1.71914 -1.99413 -1.85500 -1.33065 -0.52996  0.38078  1.21245  1.79233  2.00000     ... ... ..... ....... ......... ........... TT...........
E7g  *  2.00000  1.71914  0.95544 -0.07661 -1.08714 -1.79233 -1.99413 -1.63586 -0.81814  0.22937  1.21245  1.85500  1.97656  1.54298  0.67603 -0.38078 -1.33065 -1.90679 -1.94739 -1.44104 -0.52996  0.52996  1.44104  1.94739  1.90679  1.33065  0.38078 -0.67603 -1.54298 -1.97656 -1.85500 -1.21245 -0.22937  0.81814  1.63586  1.99413  1.79233  1.08714  0.07661 -0.95544 -1.71914 -2.00000  2.00000 -1.71914 -0.95544  0.07661  1.08714  1.79233  1.99413  1.63586  0.81814 -0.22937 -1.21245 -1.85500 -1.97656 -1.54298 -0.67603  0.38078  1.33065  1.90679  1.94739  1.44104  0.52996 -0.52996 -1.44104 -1.94739 -1.90679 -1.33065 -0.38078  0.67603  1.54298  1.97656  1.85500  1.21245  0.22937 -0.81814 -1.63586 -1.99413 -1.79233 -1.08714 -0.07661  0.95544  1.71914 -2.00000     ... ... ..... ....... ......... ........... .............
E8g  *  2.00000  1.63586  0.67603 -0.52996 -1.54298 -1.99413 -1.71914 -0.81814  0.38078  1.44104  1.97656  1.79233  0.95544 -0.22937 -1.33065 -1.94739 -1.85500 -1.08714  0.07661  1.21245  1.90679  1.90679  1.21245  0.07661 -1.08714 -1.85500 -1.94739 -1.33065 -0.22937  0.95544  1.79233  1.97656  1.44104  0.38078 -0.81814 -1.71914 -1.99413 -1.54298 -0.52996  0.67603  1.63586  2.00000  2.00000  1.63586  0.67603 -0.52996 -1.54298 -1.99413 -1.71914 -0.81814  0.38078  1.44104  1.97656  1.79233  0.95544 -0.22937 -1.33065 -1.94739 -1.85500 -1.08714  0.07661  1.21245  1.90679  1.90679  1.21245  0.07661 -1.08714 -1.85500 -1.94739 -1.33065 -0.22937  0.95544  1.79233  1.97656  1.44104  0.38078 -0.81814 -1.71914 -1.99413 -1.54298 -0.52996  0.67603  1.63586  2.00000     ... ... ..... ....... ......... ........... .............
E9g  *  2.00000  1.54298  0.38078 -0.95544 -1.85500 -1.90679 -1.08714  0.22937  1.44104  1.99413  1.63586  0.52996 -0.81814 -1.79233 -1.94739 -1.21245  0.07661  1.33065  1.97656  1.71914  0.67603 -0.67603 -1.71914 -1.97656 -1.33065 -0.07661  1.21245  1.94739  1.79233  0.81814 -0.52996 -1.63586 -1.99413 -1.44104 -0.22937  1.08714  1.90679  1.85500  0.95544 -0.38078 -1.54298 -2.00000  2.00000 -1.54298 -0.38078  0.95544  1.85500  1.90679  1.08714 -0.22937 -1.44104 -1.99413 -1.63586 -0.52996  0.81814  1.79233  1.94739  1.21245 -0.07661 -1.33065 -1.97656 -1.71914 -0.67603  0.67603  1.71914  1.97656  1.33065  0.07661 -1.21245 -1.94739 -1.79233 -0.81814  0.52996  1.63586  1.99413  1.44104  0.22937 -1.08714 -1.90679 -1.85500 -0.95544  0.38078  1.54298 -2.00000     ... ... ..... ....... ......... ........... .............
E10g *  2.00000  1.44104  0.07661 -1.33065 -1.99413 -1.54298 -0.22937  1.21245  1.97656  1.63586  0.38078 -1.08714 -1.94739 -1.71914 -0.52996  0.95544  1.90679  1.79233  0.67603 -0.81814 -1.85500 -1.85500 -0.81814  0.67603  1.79233  1.90679  0.95544 -0.52996 -1.71914 -1.94739 -1.08714  0.38078  1.63586  1.97656  1.21245 -0.22937 -1.54298 -1.99413 -1.33065  0.07661  1.44104  2.00000  2.00000  1.44104  0.07661 -1.33065 -1.99413 -1.54298 -0.22937  1.21245  1.97656  1.63586  0.38078 -1.08714 -1.94739 -1.71914 -0.52996  0.95544  1.90679  1.79233  0.67603 -0.81814 -1.85500 -1.85500 -0.81814  0.67603  1.79233  1.90679  0.95544 -0.52996 -1.71914 -1.94739 -1.08714  0.38078  1.63586  1.97656  1.21245 -0.22937 -1.54298 -1.99413 -1.33065  0.07661  1.44104  2.00000     ... ... ..... ....... ......... ........... .............
E11g *  2.00000  1.33065 -0.22937 -1.63586 -1.94739 -0.95544  0.67603  1.85500  1.79233  0.52996 -1.08714 -1.97656 -1.54298 -0.07661  1.44104  1.99413  1.21245 -0.38078 -1.71914 -1.90679 -0.81814  0.81814  1.90679  1.71914  0.38078 -1.21245 -1.99413 -1.44104  0.07661  1.54298  1.97656  1.08714 -0.52996 -1.79233 -1.85500 -0.67603  0.95544  1.94739  1.63586  0.22937 -1.33065 -2.00000  2.00000 -1.33065  0.22937  1.63586  1.94739  0.95544 -0.67603 -1.85500 -1.79233 -0.52996  1.08714  1.97656  1.54298  0.07661 -1.44104 -1.99413 -1.21245  0.38078  1.71914  1.90679  0.81814 -0.81814 -1.90679 -1.71914 -0.38078  1.21245  1.99413  1.44104 -0.07661 -1.54298 -1.97656 -1.08714  0.52996  1.79233  1.85500  0.67603 -0.95544 -1.94739 -1.63586 -0.22937  1.33065 -2.00000     ... ... ..... ....... ......... ........... .............
E12g *  2.00000  1.21245 -0.52996 -1.85500 -1.71914 -0.22937  1.44104  1.97656  0.95544 -0.81814 -1.94739 -1.54298  0.07661  1.63586  1.90679  0.67603 -1.08714 -1.99413 -1.33065  0.38078  1.79233  1.79233  0.38078 -1.33065 -1.99413 -1.08714  0.67603  1.90679  1.63586  0.07661 -1.54298 -1.94739 -0.81814  0.95544  1.97656  1.44104 -0.22937 -1.71914 -1.85500 -0.52996  1.21245  2.00000  2.00000  1.21245 -0.52996 -1.85500 -1.71914 -0.22937  1.44104  1.97656  0.95544 -0.81814 -1.94739 -1.54298  0.07661  1.63586  1.90679  0.67603 -1.08714 -1.99413 -1.33065  0.38078  1.79233  1.79233  0.38078 -1.33065 -1.99413 -1.08714  0.67603  1.90679  1.63586  0.07661 -1.54298 -1.94739 -0.81814  0.95544  1.97656  1.44104 -0.22937 -1.71914 -1.85500 -0.52996  1.21245  2.00000     ... ... ..... ....... ......... ........... .............
E13g *  2.00000  1.08714 -0.81814 -1.97656 -1.33065  0.52996  1.90679  1.54298 -0.22937 -1.79233 -1.71914 -0.07661  1.63586  1.85500  0.38078 -1.44104 -1.94739 -0.67603  1.21245  1.99413  0.95544 -0.95544 -1.99413 -1.21245  0.67603  1.94739  1.44104 -0.38078 -1.85500 -1.63586  0.07661  1.71914  1.79233  0.22937 -1.54298 -1.90679 -0.52996  1.33065  1.97656  0.81814 -1.08714 -2.00000  2.00000 -1.08714  0.81814  1.97656  1.33065 -0.52996 -1.90679 -1.54298  0.22937  1.79233  1.71914  0.07661 -1.63586 -1.85500 -0.38078  1.44104  1.94739  0.67603 -1.21245 -1.99413 -0.95544  0.95544  1.99413  1.21245 -0.67603 -1.94739 -1.44104  0.38078  1.85500  1.63586 -0.07661 -1.71914 -1.79233 -0.22937  1.54298  1.90679  0.52996 -1.33065 -1.97656 -0.81814  1.08714 -2.00000     ... ... ..... ....... ......... ........... .............
E14g *  2.00000  0.95544 -1.08714 -1.99413 -0.81814  1.21245  1.97656  0.67603 -1.33065 -1.94739 -0.52996  1.44104  1.90679  0.38078 -1.54298 -1.85500 -0.22937  1.63586  1.79233  0.07661 -1.71914 -1.71914  0.07661  1.79233  1.63586 -0.22937 -1.85500 -1.54298  0.38078  1.90679  1.44104 -0.52996 -1.94739 -1.33065  0.67603  1.97656  1.21245 -0.81814 -1.99413 -1.08714  0.95544  2.00000  2.00000  0.95544 -1.08714 -1.99413 -0.81814  1.21245  1.97656  0.67603 -1.33065 -1.94739 -0.52996  1.44104  1.90679  0.38078 -1.54298 -1.85500 -0.22937  1.63586  1.79233  0.07661 -1.71914 -1.71914  0.07661  1.79233  1.63586 -0.22937 -1.85500 -1.54298  0.38078  1.90679  1.44104 -0.52996 -1.94739 -1.33065  0.67603  1.97656  1.21245 -0.81814 -1.99413 -1.08714  0.95544  2.00000     ... ... ..... ....... ......... ........... .............
E15g *  2.00000  0.81814 -1.33065 -1.90679 -0.22937  1.71914  1.63586 -0.38078 -1.94739 -1.21245  0.95544  1.99413  0.67603 -1.44104 -1.85500 -0.07661  1.79233  1.54298 -0.52996 -1.97656 -1.08714  1.08714  1.97656  0.52996 -1.54298 -1.79233  0.07661  1.85500  1.44104 -0.67603 -1.99413 -0.95544  1.21245  1.94739  0.38078 -1.63586 -1.71914  0.22937  1.90679  1.33065 -0.81814 -2.00000  2.00000 -0.81814  1.33065  1.90679  0.22937 -1.71914 -1.63586  0.38078  1.94739  1.21245 -0.95544 -1.99413 -0.67603  1.44104  1.85500  0.07661 -1.79233 -1.54298  0.52996  1.97656  1.08714 -1.08714 -1.97656 -0.52996  1.54298  1.79233 -0.07661 -1.85500 -1.44104  0.67603  1.99413  0.95544 -1.21245 -1.94739 -0.38078  1.63586  1.71914 -0.22937 -1.90679 -1.33065  0.81814 -2.00000     ... ... ..... ....... ......... ........... .............
E16g *  2.00000  0.67603 -1.54298 -1.71914  0.38078  1.97656  0.95544 -1.33065 -1.85500  0.07661  1.90679  1.21245 -1.08714 -1.94739 -0.22937  1.79233  1.44104 -0.81814 -1.99413 -0.52996  1.63586  1.63586 -0.52996 -1.99413 -0.81814  1.44104  1.79233 -0.22937 -1.94739 -1.08714  1.21245  1.90679  0.07661 -1.85500 -1.33065  0.95544  1.97656  0.38078 -1.71914 -1.54298  0.67603  2.00000  2.00000  0.67603 -1.54298 -1.71914  0.38078  1.97656  0.95544 -1.33065 -1.85500  0.07661  1.90679  1.21245 -1.08714 -1.94739 -0.22937  1.79233  1.44104 -0.81814 -1.99413 -0.52996  1.63586  1.63586 -0.52996 -1.99413 -0.81814  1.44104  1.79233 -0.22937 -1.94739 -1.08714  1.21245  1.90679  0.07661 -1.85500 -1.33065  0.95544  1.97656  0.38078 -1.71914 -1.54298  0.67603  2.00000     ... ... ..... ....... ......... ........... .............
E17g *  2.00000  0.52996 -1.71914 -1.44104  0.95544  1.94739  0.07661 -1.90679 -1.08714  1.33065  1.79233 -0.38078 -1.99413 -0.67603  1.63586  1.54298 -0.81814 -1.97656 -0.22937  1.85500  1.21245 -1.21245 -1.85500  0.22937  1.97656  0.81814 -1.54298 -1.63586  0.67603  1.99413  0.38078 -1.79233 -1.33065  1.08714  1.90679 -0.07661 -1.94739 -0.95544  1.44104  1.71914 -0.52996 -2.00000  2.00000 -0.52996  1.71914  1.44104 -0.95544 -1.94739 -0.07661  1.90679  1.08714 -1.33065 -1.79233  0.38078  1.99413  0.67603 -1.63586 -1.54298  0.81814  1.97656  0.22937 -1.85500 -1.21245  1.21245  1.85500 -0.22937 -1.97656 -0.81814  1.54298  1.63586 -0.67603 -1.99413 -0.38078  1.79233  1.33065 -1.08714 -1.90679  0.07661  1.94739  0.95544 -1.44104 -1.71914  0.52996 -2.00000     ... ... ..... ....... ......... ........... .............
E18g *  2.00000  0.38078 -1.85500 -1.08714  1.44104  1.63586 -0.81814 -1.94739  0.07661  1.97656  0.67603 -1.71914 -1.33065  1.21245  1.79233 -0.52996 -1.99413 -0.22937  1.90679  0.95544 -1.54298 -1.54298  0.95544  1.90679 -0.22937 -1.99413 -0.52996  1.79233  1.21245 -1.33065 -1.71914  0.67603  1.97656  0.07661 -1.94739 -0.81814  1.63586  1.44104 -1.08714 -1.85500  0.38078  2.00000  2.00000  0.38078 -1.85500 -1.08714  1.44104  1.63586 -0.81814 -1.94739  0.07661  1.97656  0.67603 -1.71914 -1.33065  1.21245  1.79233 -0.52996 -1.99413 -0.22937  1.90679  0.95544 -1.54298 -1.54298  0.95544  1.90679 -0.22937 -1.99413 -0.52996  1.79233  1.21245 -1.33065 -1.71914  0.67603  1.97656  0.07661 -1.94739 -0.81814  1.63586  1.44104 -1.08714 -1.85500  0.38078  2.00000     ... ... ..... ....... ......... ........... .............
E19g *  2.00000  0.22937 -1.94739 -0.67603  1.79233  1.08714 -1.54298 -1.44104  1.21245  1.71914 -0.81814 -1.90679  0.38078  1.99413  0.07661 -1.97656 -0.52996  1.85500  0.95544 -1.63586 -1.33065  1.33065  1.63586 -0.95544 -1.85500  0.52996  1.97656 -0.07661 -1.99413 -0.38078  1.90679  0.81814 -1.71914 -1.21245  1.44104  1.54298 -1.08714 -1.79233  0.67603  1.94739 -0.22937 -2.00000  2.00000 -0.22937  1.94739  0.67603 -1.79233 -1.08714  1.54298  1.44104 -1.21245 -1.71914  0.81814  1.90679 -0.38078 -1.99413 -0.07661  1.97656  0.52996 -1.85500 -0.95544  1.63586  1.33065 -1.33065 -1.63586  0.95544  1.85500 -0.52996 -1.97656  0.07661  1.99413  0.38078 -1.90679 -0.81814  1.71914  1.21245 -1.44104 -1.54298  1.08714  1.79233 -0.67603 -1.94739  0.22937 -2.00000     ... ... ..... ....... ......... ........... .............
E20g *  2.00000  0.07661 -1.99413 -0.22937  1.97656  0.38078 -1.94739 -0.52996  1.90679  0.67603 -1.85500 -0.81814  1.79233  0.95544 -1.71914 -1.08714  1.63586  1.21245 -1.54298 -1.33065  1.44104  1.44104 -1.33065 -1.54298  1.21245  1.63586 -1.08714 -1.71914  0.95544  1.79233 -0.81814 -1.85500  0.67603  1.90679 -0.52996 -1.94739  0.38078  1.97656 -0.22937 -1.99413  0.07661  2.00000  2.00000  0.07661 -1.99413 -0.22937  1.97656  0.38078 -1.94739 -0.52996  1.90679  0.67603 -1.85500 -0.81814  1.79233  0.95544 -1.71914 -1.08714  1.63586  1.21245 -1.54298 -1.33065  1.44104  1.44104 -1.33065 -1.54298  1.21245  1.63586 -1.08714 -1.71914  0.95544  1.79233 -0.81814 -1.85500  0.67603  1.90679 -0.52996 -1.94739  0.38078  1.97656 -0.22937 -1.99413  0.07661  2.00000     ... ... ..... ....... ......... ........... .............
E21g *  2.00000 -0.07661 -1.99413  0.22937  1.97656 -0.38078 -1.94739  0.52996  1.90679 -0.67603 -1.85500  0.81814  1.79233 -0.95544 -1.71914  1.08714  1.63586 -1.21245 -1.54298  1.33065  1.44104 -1.44104 -1.33065  1.54298  1.21245 -1.63586 -1.08714  1.71914  0.95544 -1.79233 -0.81814  1.85500  0.67603 -1.90679 -0.52996  1.94739  0.38078 -1.97656 -0.22937  1.99413  0.07661 -2.00000  2.00000  0.07661  1.99413 -0.22937 -1.97656  0.38078  1.94739 -0.52996 -1.90679  0.67603  1.85500 -0.81814 -1.79233  0.95544  1.71914 -1.08714 -1.63586  1.21245  1.54298 -1.33065 -1.44104  1.44104  1.33065 -1.54298 -1.21245  1.63586  1.08714 -1.71914 -0.95544  1.79233  0.81814 -1.85500 -0.67603  1.90679  0.52996 -1.94739 -0.38078  1.97656  0.22937 -1.99413 -0.07661 -2.00000     ... ... ..... ....... ......... ........... .............
E22g *  2.00000 -0.22937 -1.94739  0.67603  1.79233 -1.08714 -1.54298  1.44104  1.21245 -1.71914 -0.81814  1.90679  0.38078 -1.99413  0.07661  1.97656 -0.52996 -1.85500  0.95544  1.63586 -1.33065 -1.33065  1.63586  0.95544 -1.85500 -0.52996  1.97656  0.07661 -1.99413  0.38078  1.90679 -0.81814 -1.71914  1.21245  1.44104 -1.54298 -1.08714  1.79233  0.67603 -1.94739 -0.22937  2.00000  2.00000 -0.22937 -1.94739  0.67603  1.79233 -1.08714 -1.54298  1.44104  1.21245 -1.71914 -0.81814  1.90679  0.38078 -1.99413  0.07661  1.97656 -0.52996 -1.85500  0.95544  1.63586 -1.33065 -1.33065  1.63586  0.95544 -1.85500 -0.52996  1.97656  0.07661 -1.99413  0.38078  1.90679 -0.81814 -1.71914  1.21245  1.44104 -1.54298 -1.08714  1.79233  0.67603 -1.94739 -0.22937  2.00000     ... ... ..... ....... ......... ........... .............
E23g *  2.00000 -0.38078 -1.85500  1.08714  1.44104 -1.63586 -0.81814  1.94739  0.07661 -1.97656  0.67603  1.71914 -1.33065 -1.21245  1.79233  0.52996 -1.99413  0.22937  1.90679 -0.95544 -1.54298  1.54298  0.95544 -1.90679 -0.22937  1.99413 -0.52996 -1.79233  1.21245  1.33065 -1.71914 -0.67603  1.97656 -0.07661 -1.94739  0.81814  1.63586 -1.44104 -1.08714  1.85500  0.38078 -2.00000  2.00000  0.38078  1.85500 -1.08714 -1.44104  1.63586  0.81814 -1.94739 -0.07661  1.97656 -0.67603 -1.71914  1.33065  1.21245 -1.79233 -0.52996  1.99413 -0.22937 -1.90679  0.95544  1.54298 -1.54298 -0.95544  1.90679  0.22937 -1.99413  0.52996  1.79233 -1.21245 -1.33065  1.71914  0.67603 -1.97656  0.07661  1.94739 -0.81814 -1.63586  1.44104  1.08714 -1.85500 -0.38078 -2.00000     ... ... ..... ....... ......... ........... .............
E24g *  2.00000 -0.52996 -1.71914  1.44104  0.95544 -1.94739  0.07661  1.90679 -1.08714 -1.33065  1.79233  0.38078 -1.99413  0.67603  1.63586 -1.54298 -0.81814  1.97656 -0.22937 -1.85500  1.21245  1.21245 -1.85500 -0.22937  1.97656 -0.81814 -1.54298  1.63586  0.67603 -1.99413  0.38078  1.79233 -1.33065 -1.08714  1.90679  0.07661 -1.94739  0.95544  1.44104 -1.71914 -0.52996  2.00000  2.00000 -0.52996 -1.71914  1.44104  0.95544 -1.94739  0.07661  1.90679 -1.08714 -1.33065  1.79233  0.38078 -1.99413  0.67603  1.63586 -1.54298 -0.81814  1.97656 -0.22937 -1.85500  1.21245  1.21245 -1.85500 -0.22937  1.97656 -0.81814 -1.54298  1.63586  0.67603 -1.99413  0.38078  1.79233 -1.33065 -1.08714  1.90679  0.07661 -1.94739  0.95544  1.44104 -1.71914 -0.52996  2.00000     ... ... ..... ....... ......... ........... .............
E25g *  2.00000 -0.67603 -1.54298  1.71914  0.38078 -1.97656  0.95544  1.33065 -1.85500 -0.07661  1.90679 -1.21245 -1.08714  1.94739 -0.22937 -1.79233  1.44104  0.81814 -1.99413  0.52996  1.63586 -1.63586 -0.52996  1.99413 -0.81814 -1.44104  1.79233  0.22937 -1.94739  1.08714  1.21245 -1.90679  0.07661  1.85500 -1.33065 -0.95544  1.97656 -0.38078 -1.71914  1.54298  0.67603 -2.00000  2.00000  0.67603  1.54298 -1.71914 -0.38078  1.97656 -0.95544 -1.33065  1.85500  0.07661 -1.90679  1.21245  1.08714 -1.94739  0.22937  1.79233 -1.44104 -0.81814  1.99413 -0.52996 -1.63586  1.63586  0.52996 -1.99413  0.81814  1.44104 -1.79233 -0.22937  1.94739 -1.08714 -1.21245  1.90679 -0.07661 -1.85500  1.33065  0.95544 -1.97656  0.38078  1.71914 -1.54298 -0.67603 -2.00000     ... ... ..... ....... ......... ........... .............
E26g *  2.00000 -0.81814 -1.33065  1.90679 -0.22937 -1.71914  1.63586  0.38078 -1.94739  1.21245  0.95544 -1.99413  0.67603  1.44104 -1.85500  0.07661  1.79233 -1.54298 -0.52996  1.97656 -1.08714 -1.08714  1.97656 -0.52996 -1.54298  1.79233  0.07661 -1.85500  1.44104  0.67603 -1.99413  0.95544  1.21245 -1.94739  0.38078  1.63586 -1.71914 -0.22937  1.90679 -1.33065 -0.81814  2.00000  2.00000 -0.81814 -1.33065  1.90679 -0.22937 -1.71914  1.63586  0.38078 -1.94739  1.21245  0.95544 -1.99413  0.67603  1.44104 -1.85500  0.07661  1.79233 -1.54298 -0.52996  1.97656 -1.08714 -1.08714  1.97656 -0.52996 -1.54298  1.79233  0.07661 -1.85500  1.44104  0.67603 -1.99413  0.95544  1.21245 -1.94739  0.38078  1.63586 -1.71914 -0.22937  1.90679 -1.33065 -0.81814  2.00000     ... ... ..... ....... ......... ........... .............
E27g *  2.00000 -0.95544 -1.08714  1.99413 -0.81814 -1.21245  1.97656 -0.67603 -1.33065  1.94739 -0.52996 -1.44104  1.90679 -0.38078 -1.54298  1.85500 -0.22937 -1.63586  1.79233 -0.07661 -1.71914  1.71914  0.07661 -1.79233  1.63586  0.22937 -1.85500  1.54298  0.38078 -1.90679  1.44104  0.52996 -1.94739  1.33065  0.67603 -1.97656  1.21245  0.81814 -1.99413  1.08714  0.95544 -2.00000  2.00000  0.95544  1.08714 -1.99413  0.81814  1.21245 -1.97656  0.67603  1.33065 -1.94739  0.52996  1.44104 -1.90679  0.38078  1.54298 -1.85500  0.22937  1.63586 -1.79233  0.07661  1.71914 -1.71914 -0.07661  1.79233 -1.63586 -0.22937  1.85500 -1.54298 -0.38078  1.90679 -1.44104 -0.52996  1.94739 -1.33065 -0.67603  1.97656 -1.21245 -0.81814  1.99413 -1.08714 -0.95544 -2.00000     ... ... ..... ....... ......... ........... .............
E28g *  2.00000 -1.08714 -0.81814  1.97656 -1.33065 -0.52996  1.90679 -1.54298 -0.22937  1.79233 -1.71914  0.07661  1.63586 -1.85500  0.38078  1.44104 -1.94739  0.67603  1.21245 -1.99413  0.95544  0.95544 -1.99413  1.21245  0.67603 -1.94739  1.44104  0.38078 -1.85500  1.63586  0.07661 -1.71914  1.79233 -0.22937 -1.54298  1.90679 -0.52996 -1.33065  1.97656 -0.81814 -1.08714  2.00000  2.00000 -1.08714 -0.81814  1.97656 -1.33065 -0.52996  1.90679 -1.54298 -0.22937  1.79233 -1.71914  0.07661  1.63586 -1.85500  0.38078  1.44104 -1.94739  0.67603  1.21245 -1.99413  0.95544  0.95544 -1.99413  1.21245  0.67603 -1.94739  1.44104  0.38078 -1.85500  1.63586  0.07661 -1.71914  1.79233 -0.22937 -1.54298  1.90679 -0.52996 -1.33065  1.97656 -0.81814 -1.08714  2.00000     ... ... ..... ....... ......... ........... .............
E29g *  2.00000 -1.21245 -0.52996  1.85500 -1.71914  0.22937  1.44104 -1.97656  0.95544  0.81814 -1.94739  1.54298  0.07661 -1.63586  1.90679 -0.67603 -1.08714  1.99413 -1.33065 -0.38078  1.79233 -1.79233  0.38078  1.33065 -1.99413  1.08714  0.67603 -1.90679  1.63586 -0.07661 -1.54298  1.94739 -0.81814 -0.95544  1.97656 -1.44104 -0.22937  1.71914 -1.85500  0.52996  1.21245 -2.00000  2.00000  1.21245  0.52996 -1.85500  1.71914 -0.22937 -1.44104  1.97656 -0.95544 -0.81814  1.94739 -1.54298 -0.07661  1.63586 -1.90679  0.67603  1.08714 -1.99413  1.33065  0.38078 -1.79233  1.79233 -0.38078 -1.33065  1.99413 -1.08714 -0.67603  1.90679 -1.63586  0.07661  1.54298 -1.94739  0.81814  0.95544 -1.97656  1.44104  0.22937 -1.71914  1.85500 -0.52996 -1.21245 -2.00000     ... ... ..... ....... ......... ........... .............
E30g *  2.00000 -1.33065 -0.22937  1.63586 -1.94739  0.95544  0.67603 -1.85500  1.79233 -0.52996 -1.08714  1.97656 -1.54298  0.07661  1.44104 -1.99413  1.21245  0.38078 -1.71914  1.90679 -0.81814 -0.81814  1.90679 -1.71914  0.38078  1.21245 -1.99413  1.44104  0.07661 -1.54298  1.97656 -1.08714 -0.52996  1.79233 -1.85500  0.67603  0.95544 -1.94739  1.63586 -0.22937 -1.33065  2.00000  2.00000 -1.33065 -0.22937  1.63586 -1.94739  0.95544  0.67603 -1.85500  1.79233 -0.52996 -1.08714  1.97656 -1.54298  0.07661  1.44104 -1.99413  1.21245  0.38078 -1.71914  1.90679 -0.81814 -0.81814  1.90679 -1.71914  0.38078  1.21245 -1.99413  1.44104  0.07661 -1.54298  1.97656 -1.08714 -0.52996  1.79233 -1.85500  0.67603  0.95544 -1.94739  1.63586 -0.22937 -1.33065  2.00000     ... ... ..... ....... ......... ........... .............
E31g *  2.00000 -1.44104  0.07661  1.33065 -1.99413  1.54298 -0.22937 -1.21245  1.97656 -1.63586  0.38078  1.08714 -1.94739  1.71914 -0.52996 -0.95544  1.90679 -1.79233  0.67603  0.81814 -1.85500  1.85500 -0.81814 -0.67603  1.79233 -1.90679  0.95544  0.52996 -1.71914  1.94739 -1.08714 -0.38078  1.63586 -1.97656  1.21245  0.22937 -1.54298  1.99413 -1.33065 -0.07661  1.44104 -2.00000  2.00000  1.44104 -0.07661 -1.33065  1.99413 -1.54298  0.22937  1.21245 -1.97656  1.63586 -0.38078 -1.08714  1.94739 -1.71914  0.52996  0.95544 -1.90679  1.79233 -0.67603 -0.81814  1.85500 -1.85500  0.81814  0.67603 -1.79233  1.90679 -0.95544 -0.52996  1.71914 -1.94739  1.08714  0.38078 -1.63586  1.97656 -1.21245 -0.22937  1.54298 -1.99413  1.33065  0.07661 -1.44104 -2.00000     ... ... ..... ....... ......... ........... .............
E32g *  2.00000 -1.54298  0.38078  0.95544 -1.85500  1.90679 -1.08714 -0.22937  1.44104 -1.99413  1.63586 -0.52996 -0.81814  1.79233 -1.94739  1.21245  0.07661 -1.33065  1.97656 -1.71914  0.67603  0.67603 -1.71914  1.97656 -1.33065  0.07661  1.21245 -1.94739  1.79233 -0.81814 -0.52996  1.63586 -1.99413  1.44104 -0.22937 -1.08714  1.90679 -1.85500  0.95544  0.38078 -1.54298  2.00000  2.00000 -1.54298  0.38078  0.95544 -1.85500  1.90679 -1.08714 -0.22937  1.44104 -1.99413  1.63586 -0.52996 -0.81814  1.79233 -1.94739  1.21245  0.07661 -1.33065  1.97656 -1.71914  0.67603  0.67603 -1.71914  1.97656 -1.33065  0.07661  1.21245 -1.94739  1.79233 -0.81814 -0.52996  1.63586 -1.99413  1.44104 -0.22937 -1.08714  1.90679 -1.85500  0.95544  0.38078 -1.54298  2.00000     ... ... ..... ....... ......... ........... .............
E33g *  2.00000 -1.63586  0.67603  0.52996 -1.54298  1.99413 -1.71914  0.81814  0.38078 -1.44104  1.97656 -1.79233  0.95544  0.22937 -1.33065  1.94739 -1.85500  1.08714  0.07661 -1.21245  1.90679 -1.90679  1.21245 -0.07661 -1.08714  1.85500 -1.94739  1.33065 -0.22937 -0.95544  1.79233 -1.97656  1.44104 -0.38078 -0.81814  1.71914 -1.99413  1.54298 -0.52996 -0.67603  1.63586 -2.00000  2.00000  1.63586 -0.67603 -0.52996  1.54298 -1.99413  1.71914 -0.81814 -0.38078  1.44104 -1.97656  1.79233 -0.95544 -0.22937  1.33065 -1.94739  1.85500 -1.08714 -0.07661  1.21245 -1.90679  1.90679 -1.21245  0.07661  1.08714 -1.85500  1.94739 -1.33065  0.22937  0.95544 -1.79233  1.97656 -1.44104  0.38078  0.81814 -1.71914  1.99413 -1.54298  0.52996  0.67603 -1.63586 -2.00000     ... ... ..... ....... ......... ........... .............
E34g *  2.00000 -1.71914  0.95544  0.07661 -1.08714  1.79233 -1.99413  1.63586 -0.81814 -0.22937  1.21245 -1.85500  1.97656 -1.54298  0.67603  0.38078 -1.33065  1.90679 -1.94739  1.44104 -0.52996 -0.52996  1.44104 -1.94739  1.90679 -1.33065  0.38078  0.67603 -1.54298  1.97656 -1.85500  1.21245 -0.22937 -0.81814  1.63586 -1.99413  1.79233 -1.08714  0.07661  0.95544 -1.71914  2.00000  2.00000 -1.71914  0.95544  0.07661 -1.08714  1.79233 -1.99413  1.63586 -0.81814 -0.22937  1.21245 -1.85500  1.97656 -1.54298  0.67603  0.38078 -1.33065  1.90679 -1.94739  1.44104 -0.52996 -0.52996  1.44104 -1.94739  1.90679 -1.33065  0.38078  0.67603 -1.54298  1.97656 -1.85500  1.21245 -0.22937 -0.81814  1.63586 -1.99413  1.79233 -1.08714  0.07661  0.95544 -1.71914  2.00000     ... ... ..... ....... ......... ........... .............
E35g *  2.00000 -1.79233  1.21245 -0.38078 -0.52996  1.33065 -1.85500  1.99413 -1.71914  1.08714 -0.22937 -0.67603  1.44104 -1.90679  1.97656 -1.63586  0.95544 -0.07661 -0.81814  1.54298 -1.94739  1.94739 -1.54298  0.81814  0.07661 -0.95544  1.63586 -1.97656  1.90679 -1.44104  0.67603  0.22937 -1.08714  1.71914 -1.99413  1.85500 -1.33065  0.52996  0.38078 -1.21245  1.79233 -2.00000  2.00000  1.79233 -1.21245  0.38078  0.52996 -1.33065  1.85500 -1.99413  1.71914 -1.08714  0.22937  0.67603 -1.44104  1.90679 -1.97656  1.63586 -0.95544  0.07661  0.81814 -1.54298  1.94739 -1.94739  1.54298 -0.81814 -0.07661  0.95544 -1.63586  1.97656 -1.90679  1.44104 -0.67603 -0.22937  1.08714 -1.71914  1.99413 -1.85500  1.33065 -0.52996 -0.38078  1.21245 -1.79233 -2.00000     ... ... ..... ....... ......... ........... .............
E36g *  2.00000 -1.85500  1.44104 -0.81814  0.07661  0.67603 -1.33065  1.79233 -1.99413  1.90679 -1.54298  0.95544 -0.22937 -0.52996  1.21245 -1.71914  1.97656 -1.94739  1.63586 -1.08714  0.38078  0.38078 -1.08714  1.63586 -1.94739  1.97656 -1.71914  1.21245 -0.52996 -0.22937  0.95544 -1.54298  1.90679 -1.99413  1.79233 -1.33065  0.67603  0.07661 -0.81814  1.44104 -1.85500  2.00000  2.00000 -1.85500  1.44104 -0.81814  0.07661  0.67603 -1.33065  1.79233 -1.99413  1.90679 -1.54298  0.95544 -0.22937 -0.52996  1.21245 -1.71914  1.97656 -1.94739  1.63586 -1.08714  0.38078  0.38078 -1.08714  1.63586 -1.94739  1.97656 -1.71914  1.21245 -0.52996 -0.22937  0.95544 -1.54298  1.90679 -1.99413  1.79233 -1.33065  0.67603  0.07661 -0.81814  1.44104 -1.85500  2.00000     ... ... ..... ....... ......... ........... .............
E37g *  2.00000 -1.90679  1.63586 -1.21245  0.67603 -0.07661 -0.52996  1.08714 -1.54298  1.85500 -1.99413  1.94739 -1.71914  1.33065 -0.81814  0.22937  0.38078 -0.95544  1.44104 -1.79233  1.97656 -1.97656  1.79233 -1.44104  0.95544 -0.38078 -0.22937  0.81814 -1.33065  1.71914 -1.94739  1.99413 -1.85500  1.54298 -1.08714  0.52996  0.07661 -0.67603  1.21245 -1.63586  1.90679 -2.00000  2.00000  1.90679 -1.63586  1.21245 -0.67603  0.07661  0.52996 -1.08714  1.54298 -1.85500  1.99413 -1.94739  1.71914 -1.33065  0.81814 -0.22937 -0.38078  0.95544 -1.44104  1.79233 -1.97656  1.97656 -1.79233  1.44104 -0.95544  0.38078  0.22937 -0.81814  1.33065 -1.71914  1.94739 -1.99413  1.85500 -1.54298  1.08714 -0.52996 -0.07661  0.67603 -1.21245  1.63586 -1.90679 -2.00000     ... ... ..... ....... ......... ........... .............
E38g *  2.00000 -1.94739  1.79233 -1.54298  1.21245 -0.81814  0.38078  0.07661 -0.52996  0.95544 -1.33065  1.63586 -1.85500  1.97656 -1.99413  1.90679 -1.71914  1.44104 -1.08714  0.67603 -0.22937 -0.22937  0.67603 -1.08714  1.44104 -1.71914  1.90679 -1.99413  1.97656 -1.85500  1.63586 -1.33065  0.95544 -0.52996  0.07661  0.38078 -0.81814  1.21245 -1.54298  1.79233 -1.94739  2.00000  2.00000 -1.94739  1.79233 -1.54298  1.21245 -0.81814  0.38078  0.07661 -0.52996  0.95544 -1.33065  1.63586 -1.85500  1.97656 -1.99413  1.90679 -1.71914  1.44104 -1.08714  0.67603 -0.22937 -0.22937  0.67603 -1.08714  1.44104 -1.71914  1.90679 -1.99413  1.97656 -1.85500  1.63586 -1.33065  0.95544 -0.52996  0.07661  0.38078 -0.81814  1.21245 -1.54298  1.79233 -1.94739  2.00000     ... ... ..... ....... ......... ........... .............
E39g *  2.00000 -1.97656  1.90679 -1.79233  1.63586 -1.44104  1.21245 -0.95544  0.67603 -0.38078  0.07661  0.22937 -0.52996  0.81814 -1.08714  1.33065 -1.54298  1.71914 -1.85500  1.94739 -1.99413  1.99413 -1.94739  1.85500 -1.71914  1.54298 -1.33065  1.08714 -0.81814  0.52996 -0.22937 -0.07661  0.38078 -0.67603  0.95544 -1.21245  1.44104 -1.63586  1.79233 -1.90679  1.97656 -2.00000  2.00000  1.97656 -1.90679  1.79233 -1.63586  1.44104 -1.21245  0.95544 -0.67603  0.38078 -0.07661 -0.22937  0.52996 -0.81814  1.08714 -1.33065  1.54298 -1.71914  1.85500 -1.94739  1.99413 -1.99413  1.94739 -1.85500  1.71914 -1.54298  1.33065 -1.08714  0.81814 -0.52996  0.22937  0.07661 -0.38078  0.67603 -0.95544  1.21245 -1.44104  1.63586 -1.79233  1.90679 -1.97656 -2.00000     ... ... ..... ....... ......... ........... .............
E40g *  2.00000 -1.99413  1.97656 -1.94739  1.90679 -1.85500  1.79233 -1.71914  1.63586 -1.54298  1.44104 -1.33065  1.21245 -1.08714  0.95544 -0.81814  0.67603 -0.52996  0.38078 -0.22937  0.07661  0.07661 -0.22937  0.38078 -0.52996  0.67603 -0.81814  0.95544 -1.08714  1.21245 -1.33065  1.44104 -1.54298  1.63586 -1.71914  1.79233 -1.85500  1.90679 -1.94739  1.97656 -1.99413  2.00000  2.00000 -1.99413  1.97656 -1.94739  1.90679 -1.85500  1.79233 -1.71914  1.63586 -1.54298  1.44104 -1.33065  1.21245 -1.08714  0.95544 -0.81814  0.67603 -0.52996  0.38078 -0.22937  0.07661  0.07661 -0.22937  0.38078 -0.52996  0.67603 -0.81814  0.95544 -1.08714  1.21245 -1.33065  1.44104 -1.54298  1.63586 -1.71914  1.79233 -1.85500  1.90679 -1.94739  1.97656 -1.99413  2.00000     ... ... ..... ....... ......... ........... .............
Au      1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000     ... ..T ..... ......T ......... ..........T .............
Bu      1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000 -1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000  1.00000     ... ... ..... ....... ......... ........... .............
E1u  *  2.00000  1.99413  1.97656  1.94739  1.90679  1.85500  1.79233  1.71914  1.63586  1.54298  1.44104  1.33065  1.21245  1.08714  0.95544  0.81814  0.67603  0.52996  0.38078  0.22937  0.07661 -0.07661 -0.22937 -0.38078 -0.52996 -0.67603 -0.81814 -0.95544 -1.08714 -1.21245 -1.33065 -1.44104 -1.54298 -1.63586 -1.71914 -1.79233 -1.85500 -1.90679 -1.94739 -1.97656 -1.99413 -2.00000 -2.00000  1.99413  1.97656  1.94739  1.90679  1.85500  1.79233  1.71914  1.63586  1.54298  1.44104  1.33065  1.21245  1.08714  0.95544  0.81814  0.67603  0.52996  0.38078  0.22937  0.07661 -0.07661 -0.22937 -0.38078 -0.52996 -0.67603 -0.81814 -0.95544 -1.08714 -1.21245 -1.33065 -1.44104 -1.54298 -1.63586 -1.71914 -1.79233 -1.85500 -1.90679 -1.94739 -1.97656 -1.99413  2.00000     ... TT. ..... ....TT. ......... ........TT. .............
E2u  *  2.00000  1.97656  1.90679  1.79233  1.63586  1.44104  1.21245  0.95544  0.67603  0.38078  0.07661 -0.22937 -0.52996 -0.81814 -1.08714 -1.33065 -1.54298 -1.71914 -1.85500 -1.94739 -1.99413 -1.99413 -1.94739 -1.85500 -1.71914 -1.54298 -1.33065 -1.08714 -0.81814 -0.52996 -0.22937  0.07661  0.38078  0.67603  0.95544  1.21245  1.44104  1.63586  1.79233  1.90679  1.97656  2.00000 -2.00000 -1.97656 -1.90679 -1.79233 -1.63586 -1.44104 -1.21245 -0.95544 -0.67603 -0.38078 -0.07661  0.22937  0.52996  0.81814  1.08714  1.33065  1.54298  1.71914  1.85500  1.94739  1.99413  1.99413  1.94739  1.85500  1.71914  1.54298  1.33065  1.08714  0.81814  0.52996  0.22937 -0.07661 -0.38078 -0.67603 -0.95544 -1.21245 -1.44104 -1.63586 -1.79233 -1.90679 -1.97656 -2.00000     ... ... ..... ..TT... ......... ......TT... .............
E3u  *  2.00000  1.94739  1.79233  1.54298  1.21245  0.81814  0.38078 -0.07661 -0.52996 -0.95544 -1.33065 -1.63586 -1.85500 -1.97656 -1.99413 -1.90679 -1.71914 -1.44104 -1.08714 -0.67603 -0.22937  0.22937  0.67603  1.08714  1.44104  1.71914  1.90679  1.99413  1.97656  1.85500  1.63586  1.33065  0.95544  0.52996  0.07661 -0.38078 -0.81814 -1.21245 -1.54298 -1.79233 -1.94739 -2.00000 -2.00000  1.94739  1.79233  1.54298  1.21245  0.81814  0.38078 -0.07661 -0.52996 -0.95544 -1.33065 -1.63586 -1.85500 -1.97656 -1.99413 -1.90679 -1.71914 -1.44104 -1.08714 -0.67603 -0.22937  0.22937  0.67603  1.08714  1.44104  1.71914  1.90679  1.99413  1.97656  1.85500  1.63586  1.33065  0.95544  0.52996  0.07661 -0.38078 -0.81814 -1.21245 -1.54298 -1.79233 -1.94739  2.00000     ... ... ..... TT..... ......... ....TT..... .............
E4u  *  2.00000  1.90679  1.63586  1.21245  0.67603  0.07661 -0.52996 -1.08714 -1.54298 -1.85500 -1.99413 -1.94739 -1.71914 -1.33065 -0.81814 -0.22937  0.38078  0.95544  1.44104  1.79233  1.97656  1.97656  1.79233  1.44104  0.95544  0.38078 -0.22937 -0.81814 -1.33065 -1.71914 -1.94739 -1.99413 -1.85500 -1.54298 -1.08714 -0.52996  0.07661  0.67603  1.21245  1.63586  1.90679  2.00000 -2.00000 -1.90679 -1.63586 -1.21245 -0.67603 -0.07661  0.52996  1.08714  1.54298  1.85500  1.99413  1.94739  1.71914  1.33065  0.81814  0.22937 -0.38078 -0.95544 -1.44104 -1.79233 -1.97656 -1.97656 -1.79233 -1.44104 -0.95544 -0.38078  0.22937  0.81814  1.33065  1.71914  1.94739  1.99413  1.85500  1.54298  1.08714  0.52996 -0.07661 -0.67603 -1.21245 -1.63586 -1.90679 -2.00000     ... ... ..... ....... ......... ..TT....... .............
E5u  *  2.00000  1.85500  1.44104  0.81814  0.07661 -0.67603 -1.33065 -1.79233 -1.99413 -1.90679 -1.54298 -0.95544 -0.22937  0.52996  1.21245  1.71914  1.97656  1.94739  1.63586  1.08714  0.38078 -0.38078 -1.08714 -1.63586 -1.94739 -1.97656 -1.71914 -1.21245 -0.52996  0.22937  0.95544  1.54298  1.90679  1.99413  1.79233  1.33065  0.67603 -0.07661 -0.81814 -1.44104 -1.85500 -2.00000 -2.00000  1.85500  1.44104  0.81814  0.07661 -0.67603 -1.33065 -1.79233 -1.99413 -1.90679 -1.54298 -0.95544 -0.22937  0.52996  1.21245  1.71914  1.97656  1.94739  1.63586  1.08714  0.38078 -0.38078 -1.08714 -1.63586 -1.94739 -1.97656 -1.71914 -1.21245 -0.52996  0.22937  0.95544  1.54298  1.90679  1.99413  1.79233  1.33065  0.67603 -0.07661 -0.81814 -1.44104 -1.85500  2.00000     ... ... ..... ....... ......... TT......... .............
E6u  *  2.00000  1.79233  1.21245  0.38078 -0.52996 -1.33065 -1.85500 -1.99413 -1.71914 -1.08714 -0.22937  0.67603  1.44104  1.90679  1.97656  1.63586  0.95544  0.07661 -0.81814 -1.54298 -1.94739 -1.94739 -1.54298 -0.81814  0.07661  0.95544  1.63586  1.97656  1.90679  1.44104  0.67603 -0.22937 -1.08714 -1.71914 -1.99413 -1.85500 -1.33065 -0.52996  0.38078  1.21245  1.79233  2.00000 -2.00000 -1.79233 -1.21245 -0.38078  0.52996  1.33065  1.85500  1.99413  1.71914  1.08714  0.22937 -0.67603 -1.44104 -1.90679 -1.97656 -1.63586 -0.95544 -0.07661  0.81814  1.54298  1.94739  1.94739  1.54298  0.81814 -0.07661 -0.95544 -1.63586 -1.97656 -1.90679 -1.44104 -0.67603  0.22937  1.08714  1.71914  1.99413  1.85500  1.33065  0.52996 -0.38078 -1.21245 -1.79233 -2.00000     ... ... ..... ....... ......... ........... .............
E7u  *  2.00000  1.71914  0.95544 -0.07661 -1.08714 -1.79233 -1.99413 -1.63586 -0.81814  0.22937  1.21245  1.85500  1.97656  1.54298  0.67603 -0.38078 -1.33065 -1.90679 -1.94739 -1.44104 -0.52996  0.52996  1.44104  1.94739  1.90679  1.33065  0.38078 -0.67603 -1.54298 -1.97656 -1.85500 -1.21245 -0.22937  0.81814  1.63586  1.99413  1.79233  1.08714  0.07661 -0.95544 -1.71914 -2.00000 -2.00000  1.71914  0.95544 -0.07661 -1.08714 -1.79233 -1.99413 -1.63586 -0.81814  0.22937  1.21245  1.85500  1.97656  1.54298  0.67603 -0.38078 -1.33065 -1.90679 -1.94739 -1.44104 -0.52996  0.52996  1.44104  1.94739  1.90679  1.33065  0.38078 -0.67603 -1.54298 -1.97656 -1.85500 -1.21245 -0.22937  0.81814  1.63586  1.99413  1.79233  1.08714  0.07661 -0.95544 -1.71914  2.00000     ... ... ..... ....... ......... ........... .............
E8u  *  2.00000  1.63586  0.67603 -0.52996 -1.54298 -1.99413 -1.71914 -0.81814  0.38078  1.44104  1.97656  1.79233  0.95544 -0.22937 -1.33065 -1.94739 -1.85500 -1.08714  0.07661  1.21245  1.90679  1.90679  1.21245  0.07661 -1.08714 -1.85500 -1.94739 -1.33065 -0.22937  0.95544  1.79233  1.97656  1.44104  0.38078 -0.81814 -1.71914 -1.99413 -1.54298 -0.52996  0.67603  1.63586  2.00000 -2.00000 -1.63586 -0.67603  0.52996  1.54298  1.99413  1.71914  0.81814 -0.38078 -1.44104 -1.97656 -1.79233 -0.95544  0.22937  1.33065  1.94739  1.85500  1.08714 -0.07661 -1.21245 -1.90679 -1.90679 -1.21245 -0.07661  1.08714  1.85500  1.94739  1.33065  0.22937 -0.95544 -1.79233 -1.97656 -1.44104 -0.38078  0.81814  1.71914  1.99413  1.54298  0.52996 -0.67603 -1.63586 -2.00000     ... ... ..... ....... ......... ........... .............
E9u  *  2.00000  1.54298  0.38078 -0.95544 -1.85500 -1.90679 -1.08714  0.22937  1.44104  1.99413  1.63586  0.52996 -0.81814 -1.79233 -1.94739 -1.21245  0.07661  1.33065  1.97656  1.71914  0.67603 -0.67603 -1.71914 -1.97656 -1.33065 -0.07661  1.21245  1.94739  1.79233  0.81814 -0.52996 -1.63586 -1.99413 -1.44104 -0.22937  1.08714  1.90679  1.85500  0.95544 -0.38078 -1.54298 -2.00000 -2.00000  1.54298  0.38078 -0.95544 -1.85500 -1.90679 -1.08714  0.22937  1.44104  1.99413  1.63586  0.52996 -0.81814 -1.79233 -1.94739 -1.21245  0.07661  1.33065  1.97656  1.71914  0.67603 -0.67603 -1.71914 -1.97656 -1.33065 -0.07661  1.21245  1.94739  1.79233  0.81814 -0.52996 -1.63586 -1.99413 -1.44104 -0.22937  1.08714  1.90679  1.85500  0.95544 -0.38078 -1.54298  2.00000     ... ... ..... ....... ......... ........... .............
E10u *  2.00000  1.44104  0.07661 -1.33065 -1.99413 -1.54298 -0.22937  1.21245  1.97656  1.63586  0.38078 -1.08714 -1.94739 -1.71914 -0.52996  0.95544  1.90679  1.79233  0.67603 -0.81814 -1.85500 -1.85500 -0.81814  0.67603  1.79233  1.90679  0.95544 -0.52996 -1.71914 -1.94739 -1.08714  0.38078  1.63586  1.97656  1.21245 -0.22937 -1.54298 -1.99413 -1.33065  0.07661  1.44104  2.00000 -2.00000 -1.44104 -0.07661  1.33065  1.99413  1.54298  0.22937 -1.21245 -1.97656 -1.63586 -0.38078  1.08714  1.94739  1.71914  0.52996 -0.95544 -1.90679 -1.79233 -0.67603  0.81814  1.85500  1.85500  0.81814 -0.67603 -1.79233 -1.90679 -0.95544  0.52996  1.71914  1.94739  1.08714 -0.38078 -1.63586 -1.97656 -1.21245  0.22937  1.54298  1.99413  1.33065 -0.07661 -1.44104 -2.00000     ... ... ..... ....... ......... ........... .............
E11u *  2.00000  1.33065 -0.22937 -1.63586 -1.94739 -0.95544  0.67603  1.85500  1.79233  0.52996 -1.08714 -1.97656 -1.54298 -0.07661  1.44104  1.99413  1.21245 -0.38078 -1.71914 -1.90679 -0.81814  0.81814  1.90679  1.71914  0.38078 -1.21245 -1.99413 -1.44104  0.07661  1.54298  1.97656  1.08714 -0.52996 -1.79233 -1.85500 -0.67603  0.95544  1.94739  1.63586  0.22937 -1.33065 -2.00000 -2.00000  1.33065 -0.22937 -1.63586 -1.94739 -0.95544  0.67603  1.85500  1.79233  0.52996 -1.08714 -1.97656 -1.54298 -0.07661  1.44104  1.99413  1.21245 -0.38078 -1.71914 -1.90679 -0.81814  0.81814  1.90679  1.71914  0.38078 -1.21245 -1.99413 -1.44104  0.07661  1.54298  1.97656  1.08714 -0.52996 -1.79233 -1.85500 -0.67603  0.95544  1.94739  1.63586  0.22937 -1.33065  2.00000     ... ... ..... ....... ......... ........... .............
E12u *  2.00000  1.21245 -0.52996 -1.85500 -1.71914 -0.22937  1.44104  1.97656  0.95544 -0.81814 -1.94739 -1.54298  0.07661  1.63586  1.90679  0.67603 -1.08714 -1.99413 -1.33065  0.38078  1.79233  1.79233  0.38078 -1.33065 -1.99413 -1.08714  0.67603  1.90679  1.63586  0.07661 -1.54298 -1.94739 -0.81814  0.95544  1.97656  1.44104 -0.22937 -1.71914 -1.85500 -0.52996  1.21245  2.00000 -2.00000 -1.21245  0.52996  1.85500  1.71914  0.22937 -1.44104 -1.97656 -0.95544  0.81814  1.94739  1.54298 -0.07661 -1.63586 -1.90679 -0.67603  1.08714  1.99413  1.33065 -0.38078 -1.79233 -1.79233 -0.38078  1.33065  1.99413  1.08714 -0.67603 -1.90679 -1.63586 -0.07661  1.54298  1.94739  0.81814 -0.95544 -1.97656 -1.44104  0.22937  1.71914  1.85500  0.52996 -1.21245 -2.00000     ... ... ..... ....... ......... ........... .............
E13u *  2.00000  1.08714 -0.81814 -1.97656 -1.33065  0.52996  1.90679  1.54298 -0.22937 -1.79233 -1.71914 -0.07661  1.63586  1.85500  0.38078 -1.44104 -1.94739 -0.67603  1.21245  1.99413  0.95544 -0.95544 -1.99413 -1.21245  0.67603  1.94739  1.44104 -0.38078 -1.85500 -1.63586  0.07661  1.71914  1.79233  0.22937 -1.54298 -1.90679 -0.52996  1.33065  1.97656  0.81814 -1.08714 -2.00000 -2.00000  1.08714 -0.81814 -1.97656 -1.33065  0.52996  1.90679  1.54298 -0.22937 -1.79233 -1.71914 -0.07661  1.63586  1.85500  0.38078 -1.44104 -1.94739 -0.67603  1.21245  1.99413  0.95544 -0.95544 -1.99413 -1.21245  0.67603  1.94739  1.44104 -0.38078 -1.85500 -1.63586  0.07661  1.71914  1.79233  0.22937 -1.54298 -1.90679 -0.52996  1.33065  1.97656  0.81814 -1.08714  2.00000     ... ... ..... ....... ......... ........... .............
E14u *  2.00000  0.95544 -1.08714 -1.99413 -0.81814  1.21245  1.97656  0.67603 -1.33065 -1.94739 -0.52996  1.44104  1.90679  0.38078 -1.54298 -1.85500 -0.22937  1.63586  1.79233  0.07661 -1.71914 -1.71914  0.07661  1.79233  1.63586 -0.22937 -1.85500 -1.54298  0.38078  1.90679  1.44104 -0.52996 -1.94739 -1.33065  0.67603  1.97656  1.21245 -0.81814 -1.99413 -1.08714  0.95544  2.00000 -2.00000 -0.95544  1.08714  1.99413  0.81814 -1.21245 -1.97656 -0.67603  1.33065  1.94739  0.52996 -1.44104 -1.90679 -0.38078  1.54298  1.85500  0.22937 -1.63586 -1.79233 -0.07661  1.71914  1.71914 -0.07661 -1.79233 -1.63586  0.22937  1.85500  1.54298 -0.38078 -1.90679 -1.44104  0.52996  1.94739  1.33065 -0.67603 -1.97656 -1.21245  0.81814  1.99413  1.08714 -0.95544 -2.00000     ... ... ..... ....... ......... ........... .............
E15u *  2.00000  0.81814 -1.33065 -1.90679 -0.22937  1.71914  1.63586 -0.38078 -1.94739 -1.21245  0.95544  1.99413  0.67603 -1.44104 -1.85500 -0.07661  1.79233  1.54298 -0.52996 -1.97656 -1.08714  1.08714  1.97656  0.52996 -1.54298 -1.79233  0.07661  1.85500  1.44104 -0.67603 -1.99413 -0.95544  1.21245  1.94739  0.38078 -1.63586 -1.71914  0.22937  1.90679  1.33065 -0.81814 -2.00000 -2.00000  0.81814 -1.33065 -1.90679 -0.22937  1.71914  1.63586 -0.38078 -1.94739 -1.21245  0.95544  1.99413  0.67603 -1.44104 -1.85500 -0.07661  1.79233  1.54298 -0.52996 -1.97656 -1.08714  1.08714  1.97656  0.52996 -1.54298 -1.79233  0.07661  1.85500  1.44104 -0.67603 -1.99413 -0.95544  1.21245  1.94739  0.38078 -1.63586 -1.71914  0.22937  1.90679  1.33065 -0.81814  2.00000     ... ... ..... ....... ......... ........... .............
E16u *  2.00000  0.67603 -1.54298 -1.71914  0.38078  1.97656  0.95544 -1.33065 -1.85500  0.07661  1.90679  1.21245 -1.08714 -1.94739 -0.22937  1.79233  1.44104 -0.81814 -1.99413 -0.52996  1.63586  1.63586 -0.52996 -1.99413 -0.81814  1.44104  1.79233 -0.22937 -1.94739 -1.08714  1.21245  1.90679  0.07661 -1.85500 -1.33065  0.95544  1.97656  0.38078 -1.71914 -1.54298  0.67603  2.00000 -2.00000 -0.67603  1.54298  1.71914 -0.38078 -1.97656 -0.95544  1.33065  1.85500 -0.07661 -1.90679 -1.21245  1.08714  1.94739  0.22937 -1.79233 -1.44104  0.81814  1.99413  0.52996 -1.63586 -1.63586  0.52996  1.99413  0.81814 -1.44104 -1.79233  0.22937  1.94739  1.08714 -1.21245 -1.90679 -0.07661  1.85500  1.33065 -0.95544 -1.97656 -0.38078  1.71914  1.54298 -0.67603 -2.00000     ... ... ..... ....... ......... ........... .............
E17u *  2.00000  0.52996 -1.71914 -1.44104  0.95544  1.94739  0.07661 -1.90679 -1.08714  1.33065  1.79233 -0.38078 -1.99413 -0.67603  1.63586  1.54298 -0.81814 -1.97656 -0.22937  1.85500  1.21245 -1.21245 -1.85500  0.22937  1.97656  0.81814 -1.54298 -1.63586  0.67603  1.99413  0.38078 -1.79233 -1.33065  1.08714  1.90679 -0.07661 -1.94739 -0.95544  1.44104  1.71914 -0.52996 -2.00000 -2.00000  0.52996 -1.71914 -1.44104  0.95544  1.94739  0.07661 -1.90679 -1.08714  1.33065  1.79233 -0.38078 -1.99413 -0.67603  1.63586  1.54298 -0.81814 -1.97656 -0.22937  1.85500  1.21245 -1.21245 -1.85500  0.22937  1.97656  0.81814 -1.54298 -1.63586  0.67603  1.99413  0.38078 -1.79233 -1.33065  1.08714  1.90679 -0.07661 -1.94739 -0.95544  1.44104  1.71914 -0.52996  2.00000     ... ... ..... ....... ......... ........... .............
E18u *  2.00000  0.38078 -1.85500 -1.08714  1.44104  1.63586 -0.81814 -1.94739  0.07661  1.97656  0.67603 -1.71914 -1.33065  1.21245  1.79233 -0.52996 -1.99413 -0.22937  1.90679  0.95544 -1.54298 -1.54298  0.95544  1.90679 -0.22937 -1.99413 -0.52996  1.79233  1.21245 -1.33065 -1.71914  0.67603  1.97656  0.07661 -1.94739 -0.81814  1.63586  1.44104 -1.08714 -1.85500  0.38078  2.00000 -2.00000 -0.38078  1.85500  1.08714 -1.44104 -1.63586  0.81814  1.94739 -0.07661 -1.97656 -0.67603  1.71914  1.33065 -1.21245 -1.79233  0.52996  1.99413  0.22937 -1.90679 -0.95544  1.54298  1.54298 -0.95544 -1.90679  0.22937  1.99413  0.52996 -1.79233 -1.21245  1.33065  1.71914 -0.67603 -1.97656 -0.07661  1.94739  0.81814 -1.63586 -1.44104  1.08714  1.85500 -0.38078 -2.00000     ... ... ..... ....... ......... ........... .............
E19u *  2.00000  0.22937 -1.94739 -0.67603  1.79233  1.08714 -1.54298 -1.44104  1.21245  1.71914 -0.81814 -1.90679  0.38078  1.99413  0.07661 -1.97656 -0.52996  1.85500  0.95544 -1.63586 -1.33065  1.33065  1.63586 -0.95544 -1.85500  0.52996  1.97656 -0.07661 -1.99413 -0.38078  1.90679  0.81814 -1.71914 -1.21245  1.44104  1.54298 -1.08714 -1.79233  0.67603  1.94739 -0.22937 -2.00000 -2.00000  0.22937 -1.94739 -0.67603  1.79233  1.08714 -1.54298 -1.44104  1.21245  1.71914 -0.81814 -1.90679  0.38078  1.99413  0.07661 -1.97656 -0.52996  1.85500  0.95544 -1.63586 -1.33065  1.33065  1.63586 -0.95544 -1.85500  0.52996  1.97656 -0.07661 -1.99413 -0.38078  1.90679  0.81814 -1.71914 -1.21245  1.44104  1.54298 -1.08714 -1.79233  0.67603  1.94739 -0.22937  2.00000     ... ... ..... ....... ......... ........... .............
E20u *  2.00000  0.07661 -1.99413 -0.22937  1.97656  0.38078 -1.94739 -0.52996  1.90679  0.67603 -1.85500 -0.81814  1.79233  0.95544 -1.71914 -1.08714  1.63586  1.21245 -1.54298 -1.33065  1.44104  1.44104 -1.33065 -1.54298  1.21245  1.63586 -1.08714 -1.71914  0.95544  1.79233 -0.81814 -1.85500  0.67603  1.90679 -0.52996 -1.94739  0.38078  1.97656 -0.22937 -1.99413  0.07661  2.00000 -2.00000 -0.07661  1.99413  0.22937 -1.97656 -0.38078  1.94739  0.52996 -1.90679 -0.67603  1.85500  0.81814 -1.79233 -0.95544  1.71914  1.08714 -1.63586 -1.21245  1.54298  1.33065 -1.44104 -1.44104  1.33065  1.54298 -1.21245 -1.63586  1.08714  1.71914 -0.95544 -1.79233  0.81814  1.85500 -0.67603 -1.90679  0.52996  1.94739 -0.38078 -1.97656  0.22937  1.99413 -0.07661 -2.00000     ... ... ..... ....... ......... ........... .............
E21u *  2.00000 -0.07661 -1.99413  0.22937  1.97656 -0.38078 -1.94739  0.52996  1.90679 -0.67603 -1.85500  0.81814  1.79233 -0.95544 -1.71914  1.08714  1.63586 -1.21245 -1.54298  1.33065  1.44104 -1.44104 -1.33065  1.54298  1.21245 -1.63586 -1.08714  1.71914  0.95544 -1.79233 -0.81814  1.85500  0.67603 -1.90679 -0.52996  1.94739  0.38078 -1.97656 -0.22937  1.99413  0.07661 -2.00000 -2.00000 -0.07661 -1.99413  0.22937  1.97656 -0.38078 -1.94739  0.52996  1.90679 -0.67603 -1.85500  0.81814  1.79233 -0.95544 -1.71914  1.08714  1.63586 -1.21245 -1.54298  1.33065  1.44104 -1.44104 -1.33065  1.54298  1.21245 -1.63586 -1.08714  1.71914  0.95544 -1.79233 -0.81814  1.85500  0.67603 -1.90679 -0.52996  1.94739  0.38078 -1.97656 -0.22937  1.99413  0.07661  2.00000     ... ... ..... ....... ......... ........... .............
E22u *  2.00000 -0.22937 -1.94739  0.67603  1.79233 -1.08714 -1.54298  1.44104  1.21245 -1.71914 -0.81814  1.90679  0.38078 -1.99413  0.07661  1.97656 -0.52996 -1.85500  0.95544  1.63586 -1.33065 -1.33065  1.63586  0.95544 -1.85500 -0.52996  1.97656  0.07661 -1.99413  0.38078  1.90679 -0.81814 -1.71914  1.21245  1.44104 -1.54298 -1.08714  1.79233  0.67603 -1.94739 -0.22937  2.00000 -2.00000  0.22937  1.94739 -0.67603 -1.79233  1.08714  1.54298 -1.44104 -1.21245  1.71914  0.81814 -1.90679 -0.38078  1.99413 -0.07661 -1.97656  0.52996  1.85500 -0.95544 -1.63586  1.33065  1.33065 -1.63586 -0.95544  1.85500  0.52996 -1.97656 -0.07661  1.99413 -0.38078 -1.90679  0.81814  1.71914 -1.21245 -1.44104  1.54298  1.08714 -1.79233 -0.67603  1.94739  0.22937 -2.00000     ... ... ..... ....... ......... ........... .............
E23u *  2.00000 -0.38078 -1.85500  1.08714  1.44104 -1.63586 -0.81814  1.94739  0.07661 -1.97656  0.67603  1.71914 -1.33065 -1.21245  1.79233  0.52996 -1.99413  0.22937  1.90679 -0.95544 -1.54298  1.54298  0.95544 -1.90679 -0.22937  1.99413 -0.52996 -1.79233  1.21245  1.33065 -1.71914 -0.67603  1.97656 -0.07661 -1.94739  0.81814  1.63586 -1.44104 -1.08714  1.85500  0.38078 -2.00000 -2.00000 -0.38078 -1.85500  1.08714  1.44104 -1.63586 -0.81814  1.94739  0.07661 -1.97656  0.67603  1.71914 -1.33065 -1.21245  1.79233  0.52996 -1.99413  0.22937  1.90679 -0.95544 -1.54298  1.54298  0.95544 -1.90679 -0.22937  1.99413 -0.52996 -1.79233  1.21245  1.33065 -1.71914 -0.67603  1.97656 -0.07661 -1.94739  0.81814  1.63586 -1.44104 -1.08714  1.85500  0.38078  2.00000     ... ... ..... ....... ......... ........... .............
E24u *  2.00000 -0.52996 -1.71914  1.44104  0.95544 -1.94739  0.07661  1.90679 -1.08714 -1.33065  1.79233  0.38078 -1.99413  0.67603  1.63586 -1.54298 -0.81814  1.97656 -0.22937 -1.85500  1.21245  1.21245 -1.85500 -0.22937  1.97656 -0.81814 -1.54298  1.63586  0.67603 -1.99413  0.38078  1.79233 -1.33065 -1.08714  1.90679  0.07661 -1.94739  0.95544  1.44104 -1.71914 -0.52996  2.00000 -2.00000  0.52996  1.71914 -1.44104 -0.95544  1.94739 -0.07661 -1.90679  1.08714  1.33065 -1.79233 -0.38078  1.99413 -0.67603 -1.63586  1.54298  0.81814 -1.97656  0.22937  1.85500 -1.21245 -1.21245  1.85500  0.22937 -1.97656  0.81814  1.54298 -1.63586 -0.67603  1.99413 -0.38078 -1.79233  1.33065  1.08714 -1.90679 -0.07661  1.94739 -0.95544 -1.44104  1.71914  0.52996 -2.00000     ... ... ..... ....... ......... ........... .............
E25u *  2.00000 -0.67603 -1.54298  1.71914  0.38078 -1.97656  0.95544  1.33065 -1.85500 -0.07661  1.90679 -1.21245 -1.08714  1.94739 -0.22937 -1.79233  1.44104  0.81814 -1.99413  0.52996  1.63586 -1.63586 -0.52996  1.99413 -0.81814 -1.44104  1.79233  0.22937 -1.94739  1.08714  1.21245 -1.90679  0.07661  1.85500 -1.33065 -0.95544  1.97656 -0.38078 -1.71914  1.54298  0.67603 -2.00000 -2.00000 -0.67603 -1.54298  1.71914  0.38078 -1.97656  0.95544  1.33065 -1.85500 -0.07661  1.90679 -1.21245 -1.08714  1.94739 -0.22937 -1.79233  1.44104  0.81814 -1.99413  0.52996  1.63586 -1.63586 -0.52996  1.99413 -0.81814 -1.44104  1.79233  0.22937 -1.94739  1.08714  1.21245 -1.90679  0.07661  1.85500 -1.33065 -0.95544  1.97656 -0.38078 -1.71914  1.54298  0.67603  2.00000     ... ... ..... ....... ......... ........... .............
E26u *  2.00000 -0.81814 -1.33065  1.90679 -0.22937 -1.71914  1.63586  0.38078 -1.94739  1.21245  0.95544 -1.99413  0.67603  1.44104 -1.85500  0.07661  1.79233 -1.54298 -0.52996  1.97656 -1.08714 -1.08714  1.97656 -0.52996 -1.54298  1.79233  0.07661 -1.85500  1.44104  0.67603 -1.99413  0.95544  1.21245 -1.94739  0.38078  1.63586 -1.71914 -0.22937  1.90679 -1.33065 -0.81814  2.00000 -2.00000  0.81814  1.33065 -1.90679  0.22937  1.71914 -1.63586 -0.38078  1.94739 -1.21245 -0.95544  1.99413 -0.67603 -1.44104  1.85500 -0.07661 -1.79233  1.54298  0.52996 -1.97656  1.08714  1.08714 -1.97656  0.52996  1.54298 -1.79233 -0.07661  1.85500 -1.44104 -0.67603  1.99413 -0.95544 -1.21245  1.94739 -0.38078 -1.63586  1.71914  0.22937 -1.90679  1.33065  0.81814 -2.00000     ... ... ..... ....... ......... ........... .............
E27u *  2.00000 -0.95544 -1.08714  1.99413 -0.81814 -1.21245  1.97656 -0.67603 -1.33065  1.94739 -0.52996 -1.44104  1.90679 -0.38078 -1.54298  1.85500 -0.22937 -1.63586  1.79233 -0.07661 -1.71914  1.71914  0.07661 -1.79233  1.63586  0.22937 -1.85500  1.54298  0.38078 -1.90679  1.44104  0.52996 -1.94739  1.33065  0.67603 -1.97656  1.21245  0.81814 -1.99413  1.08714  0.95544 -2.00000 -2.00000 -0.95544 -1.08714  1.99413 -0.81814 -1.21245  1.97656 -0.67603 -1.33065  1.94739 -0.52996 -1.44104  1.90679 -0.38078 -1.54298  1.85500 -0.22937 -1.63586  1.79233 -0.07661 -1.71914  1.71914  0.07661 -1.79233  1.63586  0.22937 -1.85500  1.54298  0.38078 -1.90679  1.44104  0.52996 -1.94739  1.33065  0.67603 -1.97656  1.21245  0.81814 -1.99413  1.08714  0.95544  2.00000     ... ... ..... ....... ......... ........... .............
E28u *  2.00000 -1.08714 -0.81814  1.97656 -1.33065 -0.52996  1.90679 -1.54298 -0.22937  1.79233 -1.71914  0.07661  1.63586 -1.85500  0.38078  1.44104 -1.94739  0.67603  1.21245 -1.99413  0.95544  0.95544 -1.99413  1.21245  0.67603 -1.94739  1.44104  0.38078 -1.85500  1.63586  0.07661 -1.71914  1.79233 -0.22937 -1.54298  1.90679 -0.52996 -1.33065  1.97656 -0.81814 -1.08714  2.00000 -2.00000  1.08714  0.81814 -1.97656  1.33065  0.52996 -1.90679  1.54298  0.22937 -1.79233  1.71914 -0.07661 -1.63586  1.85500 -0.38078 -1.44104  1.94739 -0.67603 -1.21245  1.99413 -0.95544 -0.95544  1.99413 -1.21245 -0.67603  1.94739 -1.44104 -0.38078  1.85500 -1.63586 -0.07661  1.71914 -1.79233  0.22937  1.54298 -1.90679  0.52996  1.33065 -1.97656  0.81814  1.08714 -2.00000     ... ... ..... ....... ......... ........... .............
E29u *  2.00000 -1.21245 -0.52996  1.85500 -1.71914  0.22937  1.44104 -1.97656  0.95544  0.81814 -1.94739  1.54298  0.07661 -1.63586  1.90679 -0.67603 -1.08714  1.99413 -1.33065 -0.38078  1.79233 -1.79233  0.38078  1.33065 -1.99413  1.08714  0.67603 -1.90679  1.63586 -0.07661 -1.54298  1.94739 -0.81814 -0.95544  1.97656 -1.44104 -0.22937  1.71914 -1.85500  0.52996  1.21245 -2.00000 -2.00000 -1.21245 -0.52996  1.85500 -1.71914  0.22937  1.44104 -1.97656  0.95544  0.81814 -1.94739  1.54298  0.07661 -1.63586  1.90679 -0.67603 -1.08714  1.99413 -1.33065 -0.38078  1.79233 -1.79233  0.38078  1.33065 -1.99413  1.08714  0.67603 -1.90679  1.63586 -0.07661 -1.54298  1.94739 -0.81814 -0.95544  1.97656 -1.44104 -0.22937  1.71914 -1.85500  0.52996  1.21245  2.00000     ... ... ..... ....... ......... ........... .............
E30u *  2.00000 -1.33065 -0.22937  1.63586 -1.94739  0.95544  0.67603 -1.85500  1.79233 -0.52996 -1.08714  1.97656 -1.54298  0.07661  1.44104 -1.99413  1.21245  0.38078 -1.71914  1.90679 -0.81814 -0.81814  1.90679 -1.71914  0.38078  1.21245 -1.99413  1.44104  0.07661 -1.54298  1.97656 -1.08714 -0.52996  1.79233 -1.85500  0.67603  0.95544 -1.94739  1.63586 -0.22937 -1.33065  2.00000 -2.00000  1.33065  0.22937 -1.63586  1.94739 -0.95544 -0.67603  1.85500 -1.79233  0.52996  1.08714 -1.97656  1.54298 -0.07661 -1.44104  1.99413 -1.21245 -0.38078  1.71914 -1.90679  0.81814  0.81814 -1.90679  1.71914 -0.38078 -1.21245  1.99413 -1.44104 -0.07661  1.54298 -1.97656  1.08714  0.52996 -1.79233  1.85500 -0.67603 -0.95544  1.94739 -1.63586  0.22937  1.33065 -2.00000     ... ... ..... ....... ......... ........... .............
E31u *  2.00000 -1.44104  0.07661  1.33065 -1.99413  1.54298 -0.22937 -1.21245  1.97656 -1.63586  0.38078  1.08714 -1.94739  1.71914 -0.52996 -0.95544  1.90679 -1.79233  0.67603  0.81814 -1.85500  1.85500 -0.81814 -0.67603  1.79233 -1.90679  0.95544  0.52996 -1.71914  1.94739 -1.08714 -0.38078  1.63586 -1.97656  1.21245  0.22937 -1.54298  1.99413 -1.33065 -0.07661  1.44104 -2.00000 -2.00000 -1.44104  0.07661  1.33065 -1.99413  1.54298 -0.22937 -1.21245  1.97656 -1.63586  0.38078  1.08714 -1.94739  1.71914 -0.52996 -0.95544  1.90679 -1.79233  0.67603  0.81814 -1.85500  1.85500 -0.81814 -0.67603  1.79233 -1.90679  0.95544  0.52996 -1.71914  1.94739 -1.08714 -0.38078  1.63586 -1.97656  1.21245  0.22937 -1.54298  1.99413 -1.33065 -0.07661  1.44104  2.00000     ... ... ..... ....... ......... ........... .............
E32u *  2.00000 -1.54298  0.38078  0.95544 -1.85500  1.90679 -1.08714 -0.22937  1.44104 -1.99413  1.63586 -0.52996 -0.81814  1.79233 -1.94739  1.21245  0.07661 -1.33065  1.97656 -1.71914  0.67603  0.67603 -1.71914  1.97656 -1.33065  0.07661  1.21245 -1.94739  1.79233 -0.81814 -0.52996  1.63586 -1.99413  1.44104 -0.22937 -1.08714  1.90679 -1.85500  0.95544  0.38078 -1.54298  2.00000 -2.00000  1.54298 -0.38078 -0.95544  1.85500 -1.90679  1.08714  0.22937 -1.44104  1.99413 -1.63586  0.52996  0.81814 -1.79233  1.94739 -1.21245 -0.07661  1.33065 -1.97656  1.71914 -0.67603 -0.67603  1.71914 -1.97656  1.33065 -0.07661 -1.21245  1.94739 -1.79233  0.81814  0.52996 -1.63586  1.99413 -1.44104  0.22937  1.08714 -1.90679  1.85500 -0.95544 -0.38078  1.54298 -2.00000     ... ... ..... ....... ......... ........... .............
E33u *  2.00000 -1.63586  0.67603  0.52996 -1.54298  1.99413 -1.71914  0.81814  0.38078 -1.44104  1.97656 -1.79233  0.95544  0.22937 -1.33065  1.94739 -1.85500  1.08714  0.07661 -1.21245  1.90679 -1.90679  1.21245 -0.07661 -1.08714  1.85500 -1.94739  1.33065 -0.22937 -0.95544  1.79233 -1.97656  1.44104 -0.38078 -0.81814  1.71914 -1.99413  1.54298 -0.52996 -0.67603  1.63586 -2.00000 -2.00000 -1.63586  0.67603  0.52996 -1.54298  1.99413 -1.71914  0.81814  0.38078 -1.44104  1.97656 -1.79233  0.95544  0.22937 -1.33065  1.94739 -1.85500  1.08714  0.07661 -1.21245  1.90679 -1.90679  1.21245 -0.07661 -1.08714  1.85500 -1.94739  1.33065 -0.22937 -0.95544  1.79233 -1.97656  1.44104 -0.38078 -0.81814  1.71914 -1.99413  1.54298 -0.52996 -0.67603  1.63586  2.00000     ... ... ..... ....... ......... ........... .............
E34u *  2.00000 -1.71914  0.95544  0.07661 -1.08714  1.79233 -1.99413  1.63586 -0.81814 -0.22937  1.21245 -1.85500  1.97656 -1.54298  0.67603  0.38078 -1.33065  1.90679 -1.94739  1.44104 -0.52996 -0.52996  1.44104 -1.94739  1.90679 -1.33065  0.38078  0.67603 -1.54298  1.97656 -1.85500  1.21245 -0.22937 -0.81814  1.63586 -1.99413  1.79233 -1.08714  0.07661  0.95544 -1.71914  2.00000 -2.00000  1.71914 -0.95544 -0.07661  1.08714 -1.79233  1.99413 -1.63586  0.81814  0.22937 -1.21245  1.85500 -1.97656  1.54298 -0.67603 -0.38078  1.33065 -1.90679  1.94739 -1.44104  0.52996  0.52996 -1.44104  1.94739 -1.90679  1.33065 -0.38078 -0.67603  1.54298 -1.97656  1.85500 -1.21245  0.22937  0.81814 -1.63586  1.99413 -1.79233  1.08714 -0.07661 -0.95544  1.71914 -2.00000     ... ... ..... ....... ......... ........... .............
E35u *  2.00000 -1.79233  1.21245 -0.38078 -0.52996  1.33065 -1.85500  1.99413 -1.71914  1.08714 -0.22937 -0.67603  1.44104 -1.90679  1.97656 -1.63586  0.95544 -0.07661 -0.81814  1.54298 -1.94739  1.94739 -1.54298  0.81814  0.07661 -0.95544  1.63586 -1.97656  1.90679 -1.44104  0.67603  0.22937 -1.08714  1.71914 -1.99413  1.85500 -1.33065  0.52996  0.38078 -1.21245  1.79233 -2.00000 -2.00000 -1.79233  1.21245 -0.38078 -0.52996  1.33065 -1.85500  1.99413 -1.71914  1.08714 -0.22937 -0.67603  1.44104 -1.90679  1.97656 -1.63586  0.95544 -0.07661 -0.81814  1.54298 -1.94739  1.94739 -1.54298  0.81814  0.07661 -0.95544  1.63586 -1.97656  1.90679 -1.44104  0.67603  0.22937 -1.08714  1.71914 -1.99413  1.85500 -1.33065  0.52996  0.38078 -1.21245  1.79233  2.00000     ... ... ..... ....... ......... ........... .............
E36u *  2.00000 -1.85500  1.44104 -0.81814  0.07661  0.67603 -1.33065  1.79233 -1.99413  1.90679 -1.54298  0.95544 -0.22937 -0.52996  1.21245 -1.71914  1.97656 -1.94739  1.63586 -1.08714  0.38078  0.38078 -1.08714  1.63586 -1.94739  1.97656 -1.71914  1.21245 -0.52996 -0.22937  0.95544 -1.54298  1.90679 -1.99413  1.79233 -1.33065  0.67603  0.07661 -0.81814  1.44104 -1.85500  2.00000 -2.00000  1.85500 -1.44104  0.81814 -0.07661 -0.67603  1.33065 -1.79233  1.99413 -1.90679  1.54298 -0.95544  0.22937  0.52996 -1.21245  1.71914 -1.97656  1.94739 -1.63586  1.08714 -0.38078 -0.38078  1.08714 -1.63586  1.94739 -1.97656  1.71914 -1.21245  0.52996  0.22937 -0.95544  1.54298 -1.90679  1.99413 -1.79233  1.33065 -0.67603 -0.07661  0.81814 -1.44104  1.85500 -2.00000     ... ... ..... ....... ......... ........... .............
E37u *  2.00000 -1.90679  1.63586 -1.21245  0.67603 -0.07661 -0.52996  1.08714 -1.54298  1.85500 -1.99413  1.94739 -1.71914  1.33065 -0.81814  0.22937  0.38078 -0.95544  1.44104 -1.79233  1.97656 -1.97656  1.79233 -1.44104  0.95544 -0.38078 -0.22937  0.81814 -1.33065  1.71914 -1.94739  1.99413 -1.85500  1.54298 -1.08714  0.52996  0.07661 -0.67603  1.21245 -1.63586  1.90679 -2.00000 -2.00000 -1.90679  1.63586 -1.21245  0.67603 -0.07661 -0.52996  1.08714 -1.54298  1.85500 -1.99413  1.94739 -1.71914  1.33065 -0.81814  0.22937  0.38078 -0.95544  1.44104 -1.79233  1.97656 -1.97656  1.79233 -1.44104  0.95544 -0.38078 -0.22937  0.81814 -1.33065  1.71914 -1.94739  1.99413 -1.85500  1.54298 -1.08714  0.52996  0.07661 -0.67603  1.21245 -1.63586  1.90679  2.00000     ... ... ..... ....... ......... ........... .............
E38u *  2.00000 -1.94739  1.79233 -1.54298  1.21245 -0.81814  0.38078  0.07661 -0.52996  0.95544 -1.33065  1.63586 -1.85500  1.97656 -1.99413  1.90679 -1.71914  1.44104 -1.08714  0.67603 -0.22937 -0.22937  0.67603 -1.08714  1.44104 -1.71914  1.90679 -1.99413  1.97656 -1.85500  1.63586 -1.33065  0.95544 -0.52996  0.07661  0.38078 -0.81814  1.21245 -1.54298  1.79233 -1.94739  2.00000 -2.00000  1.94739 -1.79233  1.54298 -1.21245  0.81814 -0.38078 -0.07661  0.52996 -0.95544  1.33065 -1.63586  1.85500 -1.97656  1.99413 -1.90679  1.71914 -1.44104  1.08714 -0.67603  0.22937  0.22937 -0.67603  1.08714 -1.44104  1.71914 -1.90679  1.99413 -1.97656  1.85500 -1.63586  1.33065 -0.95544  0.52996 -0.07661 -0.38078  0.81814 -1.21245  1.54298 -1.79233  1.94739 -2.00000     ... ... ..... ....... ......... ........... .............
E39u *  2.00000 -1.97656  1.90679 -1.79233  1.63586 -1.44104  1.21245 -0.95544  0.67603 -0.38078  0.07661  0.22937 -0.52996  0.81814 -1.08714  1.33065 -1.54298  1.71914 -1.85500  1.94739 -1.99413  1.99413 -1.94739  1.85500 -1.71914  1.54298 -1.33065  1.08714 -0.81814  0.52996 -0.22937 -0.07661  0.38078 -0.67603  0.95544 -1.21245  1.44104 -1.63586  1.79233 -1.90679  1.97656 -2.00000 -2.00000 -1.97656  1.90679 -1.79233  1.63586 -1.44104  1.21245 -0.95544  0.67603 -0.38078  0.07661  0.22937 -0.52996  0.81814 -1.08714  1.33065 -1.54298  1.71914 -1.85500  1.94739 -1.99413  1.99413 -1.94739  1.85500 -1.71914  1.54298 -1.33065  1.08714 -0.81814  0.52996 -0.22937 -0.07661  0.38078 -0.67603  0.95544 -1.21245  1.44104 -1.63586  1.79233 -1.90679  1.97656  2.00000     ... ... ..... ....... ......... ........... .............
E40u *  2.00000 -1.99413  1.97656 -1.94739  1.90679 -1.85500  1.79233 -1.71914  1.63586 -1.54298  1.44104 -1.33065  1.21245 -1.08714  0.95544 -0.81814  0.67603 -0.52996  0.38078 -0.22937  0.07661  0.07661 -0.22937  0.38078 -0.52996  0.67603 -0.81814  0.95544 -1.08714  1.21245 -1.33065  1.44104 -1.54298  1.63586 -1.71914  1.79233 -1.85500  1.90679 -1.94739  1.97656 -1.99413  2.00000 -2.00000  1.99413 -1.97656  1.94739 -1.90679  1.85500 -1.79233  1.71914 -1.63586  1.54298 -1.44104  1.33065 -1.21245  1.08714 -0.95544  0.81814 -0.67603  0.52996 -0.38078  0.22937 -0.07661 -0.07661  0.22937 -0.38078  0.52996 -0.67603  0.81814 -0.95544  1.08714 -1.21245  1.33065 -1.44104  1.54298 -1.63586  1.71914 -1.79233  1.85500 -1.90679  1.94739 -1.97656  1.99413 -2.00000     ... ... ..... ....... ......... ........... .............

 Irrational character values:  1.994131602367 = 2*cos(2*π/82) = 2*cos(π/41)
                               1.976560847561 = 2*cos(4*π/82) = 2*cos(2*π/41)
                               1.947390847756 = 2*cos(6*π/82) = 2*cos(3*π/41)
                               1.906792784110 = 2*cos(8*π/82) = 2*cos(4*π/41)
                               1.855004902204 = 2*cos(10*π/82) = 2*cos(5*π/41)
                               1.792331113922 = 2*cos(12*π/82) = 2*cos(6*π/41)
                               1.719139213974 = 2*cos(14*π/82) = 2*cos(7*π/41)
                               1.635858721533 = 2*cos(16*π/82) = 2*cos(8*π/41)
                               1.542978359644 = 2*cos(18*π/82) = 2*cos(9*π/41)
                               1.441043187202 = 2*cos(20*π/82) = 2*cos(10*π/41)
                               1.330651400331 = 2*cos(22*π/82) = 2*cos(11*π/41)
                               1.212450821933 = 2*cos(24*π/82) = 2*cos(12*π/41)
                               1.087135100002 = 2*cos(26*π/82) = 2*cos(13*π/41)
                               0.955439637025 = 2*cos(28*π/82) = 2*cos(14*π/41)
                               0.818137274343 = 2*cos(30*π/82) = 2*cos(15*π/41)
                               0.676033756817 = 2*cos(32*π/82) = 2*cos(16*π/41)
                               0.529963004393 = 2*cos(34*π/82) = 2*cos(17*π/41)
                               0.380782218329 = 2*cos(36*π/82) = 2*cos(18*π/41)
                               0.229366850797 = 2*cos(38*π/82) = 2*cos(19*π/41)
                               0.076605467380 = 2*cos(40*π/82) = 2*cos(20*π/41)



 Symmetry of Rotations and Cartesian products

Ag   R+d+g+i+k+m  Rz, z2, z4, z6 
E1g  R+d+g+i+k+m  {Rx, Ry}, {xz, yz}, {xz3, yz3}, {xz5, yz5} 
E2g  d+g+i+k+m    {x2y2, xy}, {z2(x2y2), xyz2}, {z4(x2y2), xyz4} 
E3g  g+i+k+m      {xz(x2−3y2), yz(3x2y2)}, {xz3(x2−3y2), yz3(3x2y2)} 
E4g  g+i+k+m      {(x2y2)2−4x2y2, xy(x2y2)}, {z2((x2y2)2−4x2y2), xyz2(x2y2)} 
E5g  i+k+m        {xz(x2−(5+2√5)y2)(x2−(5−2√5)y2), yz((5+2√5)x2y2)((5−2√5)x2y2)} 
E6g  i+k+m        {x2(x2−3y2)2y2(3x2y2)2, xy(x2−3y2)(3x2y2)} 
E7g  k+m 
E8g  k+m 
E9g  m 
E10g m 
Au   p+f+h+j+l    z, z3, z5 
E1u  p+f+h+j+l    {x, y}, {xz2, yz2}, {xz4, yz4} 
E2u  f+h+j+l      {z(x2y2), xyz}, {z3(x2y2), xyz3} 
E3u  f+h+j+l      {x(x2−3y2), y(3x2y2)}, {xz2(x2−3y2), yz2(3x2y2)} 
E4u  h+j+l        {z((x2y2)2−4x2y2), xyz(x2y2)} 
E5u  h+j+l        {x(x2−(5+2√5)y2)(x2−(5−2√5)y2), y((5+2√5)x2y2)((5−2√5)x2y2)} 
E6u  j+l 
E7u  j+l 
E8u  l 
E9u  l 

 Notes:

    α  The order of the C82h point group is 164, and the order of the principal axis (C82) is 82. The group has 84 irreducible representations.

    β  The C82h point group is generated by two symmetry elements, which are canonically chosen as C82 and i.
       Other possible choices are C82 and σh, or less commonly S82 with either C2 or σh.

    γ  The lowest nonvanishing multipole moment in C82h is 4 (quadrupole moment).

    δ  This is an Abelian point group (the commutative law holds between all symmetry operations).
       The C82h group is Abelian because all its symmetry operations are coaxial. This is a sufficient condition.
       In Abelian groups, all symmetry operations form a class of their own, and all irreducible representations are one-dimensional.

    ε  Because the group is Abelian and the maximum order of rotation is >2, some irreducible representations have complex characters.
       These 160 cases have been combined into 80 two-dimensional representations that are no longer irreducible but have real-valued characters.
       Accordingly, 80 pairs of left and right rotations have been combined into one two-membered pseudo-class each.

    ζ  The 80 reducible “E” representations almost behave like true irreducible representations.
       Their norm, however, is twice the group order. Therefore, they have been marked with an asterisk in the table.
       This is essential when trying to decompose a reducible representation into “irreducible” ones using the familiar projection formula.

    η  Some of the characters in the table are irrational because the order of the principal axis is neither 1,2,3,4 nor 6.
       These irrational values can be expressed as cosine values, or as solutions of algebraic equations with a leading coefficient of 1.
       All characters are algebraic integers of a degree much less than half the order of the principal axis.
       For this group, however, none of the irrational characters can be expressed by a closed algebraic form using real numbers only.

This Character Table for the C82h point group was created by Gernot Katzer.

For other groups and some explanations, see the Main Page.