Character table for the C78h point group

C78h     E        2 C78    2 C39    2 C26    2 C39^2  2 C78^5  2 C13    2 C78^7  2 C39^4  2 C26^3  2 C39^5  2 C78^11 2 C13^2  2 C6     2 C39^7  2 C26^5  2 C39^8  2 C78^17 2 C13^3  2 C78^19 2 C39^10 2 C26^7  2 C39^11 2 C78^23 2 C13^4  2 C78^25 2 C3     2 C26^9  2 C39^14 2 C78^29 2 C13^5  2 C78^31 2 C39^16 2 C26^11 2 C39^17 2 C78^35 2 C13^6  2 C78^37 2 C39^19 C2       i        2 S78    2 S39    2 S26    2 S39^2  2 S78^5  2 S13    2 S78^7  2 S39^4  2 S26^3  2 S39^5  2 S78^11 2 S13^2  2 S6     2 S39^7  2 S26^5  2 S39^8  2 S78^17 2 S13^3  2 S78^19 2 S39^10 2 S26^7  2 S39^11 2 S78^23 2 S13^4  2 S78^25 2 S3     2 S26^9  2 S39^14 2 S78^29 2 S13^5  2 S78^31 2 S39^16 2 S26^11 2 S39^17 2 S78^35 2 S13^6  2 S78^37 2 S39^19 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     ..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     ... ... ..... ....... ......... ........... .............
E1g  *  2.00000  1.99351  1.97410  1.94188  1.89707  1.83996  1.77091  1.69038  1.59889  1.49702  1.38545  1.26489  1.13613  1.00000  0.85739  0.70921  0.55643  0.40005  0.24107  0.08053 -0.08053 -0.24107 -0.40005 -0.55643 -0.70921 -0.85739 -1.00000 -1.13613 -1.26489 -1.38545 -1.49702 -1.59889 -1.69038 -1.77091 -1.83996 -1.89707 -1.94188 -1.97410 -1.99351 -2.00000  2.00000 -1.99351 -1.97410 -1.94188 -1.89707 -1.83996 -1.77091 -1.69038 -1.59889 -1.49702 -1.38545 -1.26489 -1.13613 -1.00000 -0.85739 -0.70921 -0.55643 -0.40005 -0.24107 -0.08053  0.08053  0.24107  0.40005  0.55643  0.70921  0.85739  1.00000  1.13613  1.26489  1.38545  1.49702  1.59889  1.69038  1.77091  1.83996  1.89707  1.94188  1.97410  1.99351 -2.00000     TT. ... ..TT. ....... ......TT. ........... ..........TT.
E2g  *  2.00000  1.97410  1.89707  1.77091  1.59889  1.38545  1.13613  0.85739  0.55643  0.24107 -0.08053 -0.40005 -0.70921 -1.00000 -1.26489 -1.49702 -1.69038 -1.83996 -1.94188 -1.99351 -1.99351 -1.94188 -1.83996 -1.69038 -1.49702 -1.26489 -1.00000 -0.70921 -0.40005 -0.08053  0.24107  0.55643  0.85739  1.13613  1.38545  1.59889  1.77091  1.89707  1.97410  2.00000  2.00000  1.97410  1.89707  1.77091  1.59889  1.38545  1.13613  0.85739  0.55643  0.24107 -0.08053 -0.40005 -0.70921 -1.00000 -1.26489 -1.49702 -1.69038 -1.83996 -1.94188 -1.99351 -1.99351 -1.94188 -1.83996 -1.69038 -1.49702 -1.26489 -1.00000 -0.70921 -0.40005 -0.08053  0.24107  0.55643  0.85739  1.13613  1.38545  1.59889  1.77091  1.89707  1.97410  2.00000     ... ... TT... ....... ....TT... ........... ........TT...
E3g  *  2.00000  1.94188  1.77091  1.49702  1.13613  0.70921  0.24107 -0.24107 -0.70921 -1.13613 -1.49702 -1.77091 -1.94188 -2.00000 -1.94188 -1.77091 -1.49702 -1.13613 -0.70921 -0.24107  0.24107  0.70921  1.13613  1.49702  1.77091  1.94188  2.00000  1.94188  1.77091  1.49702  1.13613  0.70921  0.24107 -0.24107 -0.70921 -1.13613 -1.49702 -1.77091 -1.94188 -2.00000  2.00000 -1.94188 -1.77091 -1.49702 -1.13613 -0.70921 -0.24107  0.24107  0.70921  1.13613  1.49702  1.77091  1.94188  2.00000  1.94188  1.77091  1.49702  1.13613  0.70921  0.24107 -0.24107 -0.70921 -1.13613 -1.49702 -1.77091 -1.94188 -2.00000 -1.94188 -1.77091 -1.49702 -1.13613 -0.70921 -0.24107  0.24107  0.70921  1.13613  1.49702  1.77091  1.94188 -2.00000     ... ... ..... ....... ..TT..... ........... ......TT.....
E4g  *  2.00000  1.89707  1.59889  1.13613  0.55643 -0.08053 -0.70921 -1.26489 -1.69038 -1.94188 -1.99351 -1.83996 -1.49702 -1.00000 -0.40005  0.24107  0.85739  1.38545  1.77091  1.97410  1.97410  1.77091  1.38545  0.85739  0.24107 -0.40005 -1.00000 -1.49702 -1.83996 -1.99351 -1.94188 -1.69038 -1.26489 -0.70921 -0.08053  0.55643  1.13613  1.59889  1.89707  2.00000  2.00000  1.89707  1.59889  1.13613  0.55643 -0.08053 -0.70921 -1.26489 -1.69038 -1.94188 -1.99351 -1.83996 -1.49702 -1.00000 -0.40005  0.24107  0.85739  1.38545  1.77091  1.97410  1.97410  1.77091  1.38545  0.85739  0.24107 -0.40005 -1.00000 -1.49702 -1.83996 -1.99351 -1.94188 -1.69038 -1.26489 -0.70921 -0.08053  0.55643  1.13613  1.59889  1.89707  2.00000     ... ... ..... ....... TT....... ........... ....TT.......
E5g  *  2.00000  1.83996  1.38545  0.70921 -0.08053 -0.85739 -1.49702 -1.89707 -1.99351 -1.77091 -1.26489 -0.55643  0.24107  1.00000  1.59889  1.94188  1.97410  1.69038  1.13613  0.40005 -0.40005 -1.13613 -1.69038 -1.97410 -1.94188 -1.59889 -1.00000 -0.24107  0.55643  1.26489  1.77091  1.99351  1.89707  1.49702  0.85739  0.08053 -0.70921 -1.38545 -1.83996 -2.00000  2.00000 -1.83996 -1.38545 -0.70921  0.08053  0.85739  1.49702  1.89707  1.99351  1.77091  1.26489  0.55643 -0.24107 -1.00000 -1.59889 -1.94188 -1.97410 -1.69038 -1.13613 -0.40005  0.40005  1.13613  1.69038  1.97410  1.94188  1.59889  1.00000  0.24107 -0.55643 -1.26489 -1.77091 -1.99351 -1.89707 -1.49702 -0.85739 -0.08053  0.70921  1.38545  1.83996 -2.00000     ... ... ..... ....... ......... ........... ..TT.........
E6g  *  2.00000  1.77091  1.13613  0.24107 -0.70921 -1.49702 -1.94188 -1.94188 -1.49702 -0.70921  0.24107  1.13613  1.77091  2.00000  1.77091  1.13613  0.24107 -0.70921 -1.49702 -1.94188 -1.94188 -1.49702 -0.70921  0.24107  1.13613  1.77091  2.00000  1.77091  1.13613  0.24107 -0.70921 -1.49702 -1.94188 -1.94188 -1.49702 -0.70921  0.24107  1.13613  1.77091  2.00000  2.00000  1.77091  1.13613  0.24107 -0.70921 -1.49702 -1.94188 -1.94188 -1.49702 -0.70921  0.24107  1.13613  1.77091  2.00000  1.77091  1.13613  0.24107 -0.70921 -1.49702 -1.94188 -1.94188 -1.49702 -0.70921  0.24107  1.13613  1.77091  2.00000  1.77091  1.13613  0.24107 -0.70921 -1.49702 -1.94188 -1.94188 -1.49702 -0.70921  0.24107  1.13613  1.77091  2.00000     ... ... ..... ....... ......... ........... TT...........
E7g  *  2.00000  1.69038  0.85739 -0.24107 -1.26489 -1.89707 -1.94188 -1.38545 -0.40005  0.70921  1.59889  1.99351  1.77091  1.00000 -0.08053 -1.13613 -1.83996 -1.97410 -1.49702 -0.55643  0.55643  1.49702  1.97410  1.83996  1.13613  0.08053 -1.00000 -1.77091 -1.99351 -1.59889 -0.70921  0.40005  1.38545  1.94188  1.89707  1.26489  0.24107 -0.85739 -1.69038 -2.00000  2.00000 -1.69038 -0.85739  0.24107  1.26489  1.89707  1.94188  1.38545  0.40005 -0.70921 -1.59889 -1.99351 -1.77091 -1.00000  0.08053  1.13613  1.83996  1.97410  1.49702  0.55643 -0.55643 -1.49702 -1.97410 -1.83996 -1.13613 -0.08053  1.00000  1.77091  1.99351  1.59889  0.70921 -0.40005 -1.38545 -1.94188 -1.89707 -1.26489 -0.24107  0.85739  1.69038 -2.00000     ... ... ..... ....... ......... ........... .............
E8g  *  2.00000  1.59889  0.55643 -0.70921 -1.69038 -1.99351 -1.49702 -0.40005  0.85739  1.77091  1.97410  1.38545  0.24107 -1.00000 -1.83996 -1.94188 -1.26489 -0.08053  1.13613  1.89707  1.89707  1.13613 -0.08053 -1.26489 -1.94188 -1.83996 -1.00000  0.24107  1.38545  1.97410  1.77091  0.85739 -0.40005 -1.49702 -1.99351 -1.69038 -0.70921  0.55643  1.59889  2.00000  2.00000  1.59889  0.55643 -0.70921 -1.69038 -1.99351 -1.49702 -0.40005  0.85739  1.77091  1.97410  1.38545  0.24107 -1.00000 -1.83996 -1.94188 -1.26489 -0.08053  1.13613  1.89707  1.89707  1.13613 -0.08053 -1.26489 -1.94188 -1.83996 -1.00000  0.24107  1.38545  1.97410  1.77091  0.85739 -0.40005 -1.49702 -1.99351 -1.69038 -0.70921  0.55643  1.59889  2.00000     ... ... ..... ....... ......... ........... .............
E9g  *  2.00000  1.49702  0.24107 -1.13613 -1.94188 -1.77091 -0.70921  0.70921  1.77091  1.94188  1.13613 -0.24107 -1.49702 -2.00000 -1.49702 -0.24107  1.13613  1.94188  1.77091  0.70921 -0.70921 -1.77091 -1.94188 -1.13613  0.24107  1.49702  2.00000  1.49702  0.24107 -1.13613 -1.94188 -1.77091 -0.70921  0.70921  1.77091  1.94188  1.13613 -0.24107 -1.49702 -2.00000  2.00000 -1.49702 -0.24107  1.13613  1.94188  1.77091  0.70921 -0.70921 -1.77091 -1.94188 -1.13613  0.24107  1.49702  2.00000  1.49702  0.24107 -1.13613 -1.94188 -1.77091 -0.70921  0.70921  1.77091  1.94188  1.13613 -0.24107 -1.49702 -2.00000 -1.49702 -0.24107  1.13613  1.94188  1.77091  0.70921 -0.70921 -1.77091 -1.94188 -1.13613  0.24107  1.49702 -2.00000     ... ... ..... ....... ......... ........... .............
E10g *  2.00000  1.38545 -0.08053 -1.49702 -1.99351 -1.26489  0.24107  1.59889  1.97410  1.13613 -0.40005 -1.69038 -1.94188 -1.00000  0.55643  1.77091  1.89707  0.85739 -0.70921 -1.83996 -1.83996 -0.70921  0.85739  1.89707  1.77091  0.55643 -1.00000 -1.94188 -1.69038 -0.40005  1.13613  1.97410  1.59889  0.24107 -1.26489 -1.99351 -1.49702 -0.08053  1.38545  2.00000  2.00000  1.38545 -0.08053 -1.49702 -1.99351 -1.26489  0.24107  1.59889  1.97410  1.13613 -0.40005 -1.69038 -1.94188 -1.00000  0.55643  1.77091  1.89707  0.85739 -0.70921 -1.83996 -1.83996 -0.70921  0.85739  1.89707  1.77091  0.55643 -1.00000 -1.94188 -1.69038 -0.40005  1.13613  1.97410  1.59889  0.24107 -1.26489 -1.99351 -1.49702 -0.08053  1.38545  2.00000     ... ... ..... ....... ......... ........... .............
E11g *  2.00000  1.26489 -0.40005 -1.77091 -1.83996 -0.55643  1.13613  1.99351  1.38545 -0.24107 -1.69038 -1.89707 -0.70921  1.00000  1.97410  1.49702 -0.08053 -1.59889 -1.94188 -0.85739  0.85739  1.94188  1.59889  0.08053 -1.49702 -1.97410 -1.00000  0.70921  1.89707  1.69038  0.24107 -1.38545 -1.99351 -1.13613  0.55643  1.83996  1.77091  0.40005 -1.26489 -2.00000  2.00000 -1.26489  0.40005  1.77091  1.83996  0.55643 -1.13613 -1.99351 -1.38545  0.24107  1.69038  1.89707  0.70921 -1.00000 -1.97410 -1.49702  0.08053  1.59889  1.94188  0.85739 -0.85739 -1.94188 -1.59889 -0.08053  1.49702  1.97410  1.00000 -0.70921 -1.89707 -1.69038 -0.24107  1.38545  1.99351  1.13613 -0.55643 -1.83996 -1.77091 -0.40005  1.26489 -2.00000     ... ... ..... ....... ......... ........... .............
E12g *  2.00000  1.13613 -0.70921 -1.94188 -1.49702  0.24107  1.77091  1.77091  0.24107 -1.49702 -1.94188 -0.70921  1.13613  2.00000  1.13613 -0.70921 -1.94188 -1.49702  0.24107  1.77091  1.77091  0.24107 -1.49702 -1.94188 -0.70921  1.13613  2.00000  1.13613 -0.70921 -1.94188 -1.49702  0.24107  1.77091  1.77091  0.24107 -1.49702 -1.94188 -0.70921  1.13613  2.00000  2.00000  1.13613 -0.70921 -1.94188 -1.49702  0.24107  1.77091  1.77091  0.24107 -1.49702 -1.94188 -0.70921  1.13613  2.00000  1.13613 -0.70921 -1.94188 -1.49702  0.24107  1.77091  1.77091  0.24107 -1.49702 -1.94188 -0.70921  1.13613  2.00000  1.13613 -0.70921 -1.94188 -1.49702  0.24107  1.77091  1.77091  0.24107 -1.49702 -1.94188 -0.70921  1.13613  2.00000     ... ... ..... ....... ......... ........... .............
E13g *  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000  2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000 -2.00000     ... ... ..... ....... ......... ........... .............
E14g *  2.00000  0.85739 -1.26489 -1.94188 -0.40005  1.59889  1.77091 -0.08053 -1.83996 -1.49702  0.55643  1.97410  1.13613 -1.00000 -1.99351 -0.70921  1.38545  1.89707  0.24107 -1.69038 -1.69038  0.24107  1.89707  1.38545 -0.70921 -1.99351 -1.00000  1.13613  1.97410  0.55643 -1.49702 -1.83996 -0.08053  1.77091  1.59889 -0.40005 -1.94188 -1.26489  0.85739  2.00000  2.00000  0.85739 -1.26489 -1.94188 -0.40005  1.59889  1.77091 -0.08053 -1.83996 -1.49702  0.55643  1.97410  1.13613 -1.00000 -1.99351 -0.70921  1.38545  1.89707  0.24107 -1.69038 -1.69038  0.24107  1.89707  1.38545 -0.70921 -1.99351 -1.00000  1.13613  1.97410  0.55643 -1.49702 -1.83996 -0.08053  1.77091  1.59889 -0.40005 -1.94188 -1.26489  0.85739  2.00000     ... ... ..... ....... ......... ........... .............
E15g *  2.00000  0.70921 -1.49702 -1.77091  0.24107  1.94188  1.13613 -1.13613 -1.94188 -0.24107  1.77091  1.49702 -0.70921 -2.00000 -0.70921  1.49702  1.77091 -0.24107 -1.94188 -1.13613  1.13613  1.94188  0.24107 -1.77091 -1.49702  0.70921  2.00000  0.70921 -1.49702 -1.77091  0.24107  1.94188  1.13613 -1.13613 -1.94188 -0.24107  1.77091  1.49702 -0.70921 -2.00000  2.00000 -0.70921  1.49702  1.77091 -0.24107 -1.94188 -1.13613  1.13613  1.94188  0.24107 -1.77091 -1.49702  0.70921  2.00000  0.70921 -1.49702 -1.77091  0.24107  1.94188  1.13613 -1.13613 -1.94188 -0.24107  1.77091  1.49702 -0.70921 -2.00000 -0.70921  1.49702  1.77091 -0.24107 -1.94188 -1.13613  1.13613  1.94188  0.24107 -1.77091 -1.49702  0.70921 -2.00000     ... ... ..... ....... ......... ........... .............
E16g *  2.00000  0.55643 -1.69038 -1.49702  0.85739  1.97410  0.24107 -1.83996 -1.26489  1.13613  1.89707 -0.08053 -1.94188 -1.00000  1.38545  1.77091 -0.40005 -1.99351 -0.70921  1.59889  1.59889 -0.70921 -1.99351 -0.40005  1.77091  1.38545 -1.00000 -1.94188 -0.08053  1.89707  1.13613 -1.26489 -1.83996  0.24107  1.97410  0.85739 -1.49702 -1.69038  0.55643  2.00000  2.00000  0.55643 -1.69038 -1.49702  0.85739  1.97410  0.24107 -1.83996 -1.26489  1.13613  1.89707 -0.08053 -1.94188 -1.00000  1.38545  1.77091 -0.40005 -1.99351 -0.70921  1.59889  1.59889 -0.70921 -1.99351 -0.40005  1.77091  1.38545 -1.00000 -1.94188 -0.08053  1.89707  1.13613 -1.26489 -1.83996  0.24107  1.97410  0.85739 -1.49702 -1.69038  0.55643  2.00000     ... ... ..... ....... ......... ........... .............
E17g *  2.00000  0.40005 -1.83996 -1.13613  1.38545  1.69038 -0.70921 -1.97410 -0.08053  1.94188  0.85739 -1.59889 -1.49702  1.00000  1.89707 -0.24107 -1.99351 -0.55643  1.77091  1.26489 -1.26489 -1.77091  0.55643  1.99351  0.24107 -1.89707 -1.00000  1.49702  1.59889 -0.85739 -1.94188  0.08053  1.97410  0.70921 -1.69038 -1.38545  1.13613  1.83996 -0.40005 -2.00000  2.00000 -0.40005  1.83996  1.13613 -1.38545 -1.69038  0.70921  1.97410  0.08053 -1.94188 -0.85739  1.59889  1.49702 -1.00000 -1.89707  0.24107  1.99351  0.55643 -1.77091 -1.26489  1.26489  1.77091 -0.55643 -1.99351 -0.24107  1.89707  1.00000 -1.49702 -1.59889  0.85739  1.94188 -0.08053 -1.97410 -0.70921  1.69038  1.38545 -1.13613 -1.83996  0.40005 -2.00000     ... ... ..... ....... ......... ........... .............
E18g *  2.00000  0.24107 -1.94188 -0.70921  1.77091  1.13613 -1.49702 -1.49702  1.13613  1.77091 -0.70921 -1.94188  0.24107  2.00000  0.24107 -1.94188 -0.70921  1.77091  1.13613 -1.49702 -1.49702  1.13613  1.77091 -0.70921 -1.94188  0.24107  2.00000  0.24107 -1.94188 -0.70921  1.77091  1.13613 -1.49702 -1.49702  1.13613  1.77091 -0.70921 -1.94188  0.24107  2.00000  2.00000  0.24107 -1.94188 -0.70921  1.77091  1.13613 -1.49702 -1.49702  1.13613  1.77091 -0.70921 -1.94188  0.24107  2.00000  0.24107 -1.94188 -0.70921  1.77091  1.13613 -1.49702 -1.49702  1.13613  1.77091 -0.70921 -1.94188  0.24107  2.00000  0.24107 -1.94188 -0.70921  1.77091  1.13613 -1.49702 -1.49702  1.13613  1.77091 -0.70921 -1.94188  0.24107  2.00000     ... ... ..... ....... ......... ........... .............
E19g *  2.00000  0.08053 -1.99351 -0.24107  1.97410  0.40005 -1.94188 -0.55643  1.89707  0.70921 -1.83996 -0.85739  1.77091  1.00000 -1.69038 -1.13613  1.59889  1.26489 -1.49702 -1.38545  1.38545  1.49702 -1.26489 -1.59889  1.13613  1.69038 -1.00000 -1.77091  0.85739  1.83996 -0.70921 -1.89707  0.55643  1.94188 -0.40005 -1.97410  0.24107  1.99351 -0.08053 -2.00000  2.00000 -0.08053  1.99351  0.24107 -1.97410 -0.40005  1.94188  0.55643 -1.89707 -0.70921  1.83996  0.85739 -1.77091 -1.00000  1.69038  1.13613 -1.59889 -1.26489  1.49702  1.38545 -1.38545 -1.49702  1.26489  1.59889 -1.13613 -1.69038  1.00000  1.77091 -0.85739 -1.83996  0.70921  1.89707 -0.55643 -1.94188  0.40005  1.97410 -0.24107 -1.99351  0.08053 -2.00000     ... ... ..... ....... ......... ........... .............
E20g *  2.00000 -0.08053 -1.99351  0.24107  1.97410 -0.40005 -1.94188  0.55643  1.89707 -0.70921 -1.83996  0.85739  1.77091 -1.00000 -1.69038  1.13613  1.59889 -1.26489 -1.49702  1.38545  1.38545 -1.49702 -1.26489  1.59889  1.13613 -1.69038 -1.00000  1.77091  0.85739 -1.83996 -0.70921  1.89707  0.55643 -1.94188 -0.40005  1.97410  0.24107 -1.99351 -0.08053  2.00000  2.00000 -0.08053 -1.99351  0.24107  1.97410 -0.40005 -1.94188  0.55643  1.89707 -0.70921 -1.83996  0.85739  1.77091 -1.00000 -1.69038  1.13613  1.59889 -1.26489 -1.49702  1.38545  1.38545 -1.49702 -1.26489  1.59889  1.13613 -1.69038 -1.00000  1.77091  0.85739 -1.83996 -0.70921  1.89707  0.55643 -1.94188 -0.40005  1.97410  0.24107 -1.99351 -0.08053  2.00000     ... ... ..... ....... ......... ........... .............
E21g *  2.00000 -0.24107 -1.94188  0.70921  1.77091 -1.13613 -1.49702  1.49702  1.13613 -1.77091 -0.70921  1.94188  0.24107 -2.00000  0.24107  1.94188 -0.70921 -1.77091  1.13613  1.49702 -1.49702 -1.13613  1.77091  0.70921 -1.94188 -0.24107  2.00000 -0.24107 -1.94188  0.70921  1.77091 -1.13613 -1.49702  1.49702  1.13613 -1.77091 -0.70921  1.94188  0.24107 -2.00000  2.00000  0.24107  1.94188 -0.70921 -1.77091  1.13613  1.49702 -1.49702 -1.13613  1.77091  0.70921 -1.94188 -0.24107  2.00000 -0.24107 -1.94188  0.70921  1.77091 -1.13613 -1.49702  1.49702  1.13613 -1.77091 -0.70921  1.94188  0.24107 -2.00000  0.24107  1.94188 -0.70921 -1.77091  1.13613  1.49702 -1.49702 -1.13613  1.77091  0.70921 -1.94188 -0.24107 -2.00000     ... ... ..... ....... ......... ........... .............
E22g *  2.00000 -0.40005 -1.83996  1.13613  1.38545 -1.69038 -0.70921  1.97410 -0.08053 -1.94188  0.85739  1.59889 -1.49702 -1.00000  1.89707  0.24107 -1.99351  0.55643  1.77091 -1.26489 -1.26489  1.77091  0.55643 -1.99351  0.24107  1.89707 -1.00000 -1.49702  1.59889  0.85739 -1.94188 -0.08053  1.97410 -0.70921 -1.69038  1.38545  1.13613 -1.83996 -0.40005  2.00000  2.00000 -0.40005 -1.83996  1.13613  1.38545 -1.69038 -0.70921  1.97410 -0.08053 -1.94188  0.85739  1.59889 -1.49702 -1.00000  1.89707  0.24107 -1.99351  0.55643  1.77091 -1.26489 -1.26489  1.77091  0.55643 -1.99351  0.24107  1.89707 -1.00000 -1.49702  1.59889  0.85739 -1.94188 -0.08053  1.97410 -0.70921 -1.69038  1.38545  1.13613 -1.83996 -0.40005  2.00000     ... ... ..... ....... ......... ........... .............
E23g *  2.00000 -0.55643 -1.69038  1.49702  0.85739 -1.97410  0.24107  1.83996 -1.26489 -1.13613  1.89707  0.08053 -1.94188  1.00000  1.38545 -1.77091 -0.40005  1.99351 -0.70921 -1.59889  1.59889  0.70921 -1.99351  0.40005  1.77091 -1.38545 -1.00000  1.94188 -0.08053 -1.89707  1.13613  1.26489 -1.83996 -0.24107  1.97410 -0.85739 -1.49702  1.69038  0.55643 -2.00000  2.00000  0.55643  1.69038 -1.49702 -0.85739  1.97410 -0.24107 -1.83996  1.26489  1.13613 -1.89707 -0.08053  1.94188 -1.00000 -1.38545  1.77091  0.40005 -1.99351  0.70921  1.59889 -1.59889 -0.70921  1.99351 -0.40005 -1.77091  1.38545  1.00000 -1.94188  0.08053  1.89707 -1.13613 -1.26489  1.83996  0.24107 -1.97410  0.85739  1.49702 -1.69038 -0.55643 -2.00000     ... ... ..... ....... ......... ........... .............
E24g *  2.00000 -0.70921 -1.49702  1.77091  0.24107 -1.94188  1.13613  1.13613 -1.94188  0.24107  1.77091 -1.49702 -0.70921  2.00000 -0.70921 -1.49702  1.77091  0.24107 -1.94188  1.13613  1.13613 -1.94188  0.24107  1.77091 -1.49702 -0.70921  2.00000 -0.70921 -1.49702  1.77091  0.24107 -1.94188  1.13613  1.13613 -1.94188  0.24107  1.77091 -1.49702 -0.70921  2.00000  2.00000 -0.70921 -1.49702  1.77091  0.24107 -1.94188  1.13613  1.13613 -1.94188  0.24107  1.77091 -1.49702 -0.70921  2.00000 -0.70921 -1.49702  1.77091  0.24107 -1.94188  1.13613  1.13613 -1.94188  0.24107  1.77091 -1.49702 -0.70921  2.00000 -0.70921 -1.49702  1.77091  0.24107 -1.94188  1.13613  1.13613 -1.94188  0.24107  1.77091 -1.49702 -0.70921  2.00000     ... ... ..... ....... ......... ........... .............
E25g *  2.00000 -0.85739 -1.26489  1.94188 -0.40005 -1.59889  1.77091  0.08053 -1.83996  1.49702  0.55643 -1.97410  1.13613  1.00000 -1.99351  0.70921  1.38545 -1.89707  0.24107  1.69038 -1.69038 -0.24107  1.89707 -1.38545 -0.70921  1.99351 -1.00000 -1.13613  1.97410 -0.55643 -1.49702  1.83996 -0.08053 -1.77091  1.59889  0.40005 -1.94188  1.26489  0.85739 -2.00000  2.00000  0.85739  1.26489 -1.94188  0.40005  1.59889 -1.77091 -0.08053  1.83996 -1.49702 -0.55643  1.97410 -1.13613 -1.00000  1.99351 -0.70921 -1.38545  1.89707 -0.24107 -1.69038  1.69038  0.24107 -1.89707  1.38545  0.70921 -1.99351  1.00000  1.13613 -1.97410  0.55643  1.49702 -1.83996  0.08053  1.77091 -1.59889 -0.40005  1.94188 -1.26489 -0.85739 -2.00000     ... ... ..... ....... ......... ........... .............
E26g *  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000     ... ... ..... ....... ......... ........... .............
E27g *  2.00000 -1.13613 -0.70921  1.94188 -1.49702 -0.24107  1.77091 -1.77091  0.24107  1.49702 -1.94188  0.70921  1.13613 -2.00000  1.13613  0.70921 -1.94188  1.49702  0.24107 -1.77091  1.77091 -0.24107 -1.49702  1.94188 -0.70921 -1.13613  2.00000 -1.13613 -0.70921  1.94188 -1.49702 -0.24107  1.77091 -1.77091  0.24107  1.49702 -1.94188  0.70921  1.13613 -2.00000  2.00000  1.13613  0.70921 -1.94188  1.49702  0.24107 -1.77091  1.77091 -0.24107 -1.49702  1.94188 -0.70921 -1.13613  2.00000 -1.13613 -0.70921  1.94188 -1.49702 -0.24107  1.77091 -1.77091  0.24107  1.49702 -1.94188  0.70921  1.13613 -2.00000  1.13613  0.70921 -1.94188  1.49702  0.24107 -1.77091  1.77091 -0.24107 -1.49702  1.94188 -0.70921 -1.13613 -2.00000     ... ... ..... ....... ......... ........... .............
E28g *  2.00000 -1.26489 -0.40005  1.77091 -1.83996  0.55643  1.13613 -1.99351  1.38545  0.24107 -1.69038  1.89707 -0.70921 -1.00000  1.97410 -1.49702 -0.08053  1.59889 -1.94188  0.85739  0.85739 -1.94188  1.59889 -0.08053 -1.49702  1.97410 -1.00000 -0.70921  1.89707 -1.69038  0.24107  1.38545 -1.99351  1.13613  0.55643 -1.83996  1.77091 -0.40005 -1.26489  2.00000  2.00000 -1.26489 -0.40005  1.77091 -1.83996  0.55643  1.13613 -1.99351  1.38545  0.24107 -1.69038  1.89707 -0.70921 -1.00000  1.97410 -1.49702 -0.08053  1.59889 -1.94188  0.85739  0.85739 -1.94188  1.59889 -0.08053 -1.49702  1.97410 -1.00000 -0.70921  1.89707 -1.69038  0.24107  1.38545 -1.99351  1.13613  0.55643 -1.83996  1.77091 -0.40005 -1.26489  2.00000     ... ... ..... ....... ......... ........... .............
E29g *  2.00000 -1.38545 -0.08053  1.49702 -1.99351  1.26489  0.24107 -1.59889  1.97410 -1.13613 -0.40005  1.69038 -1.94188  1.00000  0.55643 -1.77091  1.89707 -0.85739 -0.70921  1.83996 -1.83996  0.70921  0.85739 -1.89707  1.77091 -0.55643 -1.00000  1.94188 -1.69038  0.40005  1.13613 -1.97410  1.59889 -0.24107 -1.26489  1.99351 -1.49702  0.08053  1.38545 -2.00000  2.00000  1.38545  0.08053 -1.49702  1.99351 -1.26489 -0.24107  1.59889 -1.97410  1.13613  0.40005 -1.69038  1.94188 -1.00000 -0.55643  1.77091 -1.89707  0.85739  0.70921 -1.83996  1.83996 -0.70921 -0.85739  1.89707 -1.77091  0.55643  1.00000 -1.94188  1.69038 -0.40005 -1.13613  1.97410 -1.59889  0.24107  1.26489 -1.99351  1.49702 -0.08053 -1.38545 -2.00000     ... ... ..... ....... ......... ........... .............
E30g *  2.00000 -1.49702  0.24107  1.13613 -1.94188  1.77091 -0.70921 -0.70921  1.77091 -1.94188  1.13613  0.24107 -1.49702  2.00000 -1.49702  0.24107  1.13613 -1.94188  1.77091 -0.70921 -0.70921  1.77091 -1.94188  1.13613  0.24107 -1.49702  2.00000 -1.49702  0.24107  1.13613 -1.94188  1.77091 -0.70921 -0.70921  1.77091 -1.94188  1.13613  0.24107 -1.49702  2.00000  2.00000 -1.49702  0.24107  1.13613 -1.94188  1.77091 -0.70921 -0.70921  1.77091 -1.94188  1.13613  0.24107 -1.49702  2.00000 -1.49702  0.24107  1.13613 -1.94188  1.77091 -0.70921 -0.70921  1.77091 -1.94188  1.13613  0.24107 -1.49702  2.00000 -1.49702  0.24107  1.13613 -1.94188  1.77091 -0.70921 -0.70921  1.77091 -1.94188  1.13613  0.24107 -1.49702  2.00000     ... ... ..... ....... ......... ........... .............
E31g *  2.00000 -1.59889  0.55643  0.70921 -1.69038  1.99351 -1.49702  0.40005  0.85739 -1.77091  1.97410 -1.38545  0.24107  1.00000 -1.83996  1.94188 -1.26489  0.08053  1.13613 -1.89707  1.89707 -1.13613 -0.08053  1.26489 -1.94188  1.83996 -1.00000 -0.24107  1.38545 -1.97410  1.77091 -0.85739 -0.40005  1.49702 -1.99351  1.69038 -0.70921 -0.55643  1.59889 -2.00000  2.00000  1.59889 -0.55643 -0.70921  1.69038 -1.99351  1.49702 -0.40005 -0.85739  1.77091 -1.97410  1.38545 -0.24107 -1.00000  1.83996 -1.94188  1.26489 -0.08053 -1.13613  1.89707 -1.89707  1.13613  0.08053 -1.26489  1.94188 -1.83996  1.00000  0.24107 -1.38545  1.97410 -1.77091  0.85739  0.40005 -1.49702  1.99351 -1.69038  0.70921  0.55643 -1.59889 -2.00000     ... ... ..... ....... ......... ........... .............
E32g *  2.00000 -1.69038  0.85739  0.24107 -1.26489  1.89707 -1.94188  1.38545 -0.40005 -0.70921  1.59889 -1.99351  1.77091 -1.00000 -0.08053  1.13613 -1.83996  1.97410 -1.49702  0.55643  0.55643 -1.49702  1.97410 -1.83996  1.13613 -0.08053 -1.00000  1.77091 -1.99351  1.59889 -0.70921 -0.40005  1.38545 -1.94188  1.89707 -1.26489  0.24107  0.85739 -1.69038  2.00000  2.00000 -1.69038  0.85739  0.24107 -1.26489  1.89707 -1.94188  1.38545 -0.40005 -0.70921  1.59889 -1.99351  1.77091 -1.00000 -0.08053  1.13613 -1.83996  1.97410 -1.49702  0.55643  0.55643 -1.49702  1.97410 -1.83996  1.13613 -0.08053 -1.00000  1.77091 -1.99351  1.59889 -0.70921 -0.40005  1.38545 -1.94188  1.89707 -1.26489  0.24107  0.85739 -1.69038  2.00000     ... ... ..... ....... ......... ........... .............
E33g *  2.00000 -1.77091  1.13613 -0.24107 -0.70921  1.49702 -1.94188  1.94188 -1.49702  0.70921  0.24107 -1.13613  1.77091 -2.00000  1.77091 -1.13613  0.24107  0.70921 -1.49702  1.94188 -1.94188  1.49702 -0.70921 -0.24107  1.13613 -1.77091  2.00000 -1.77091  1.13613 -0.24107 -0.70921  1.49702 -1.94188  1.94188 -1.49702  0.70921  0.24107 -1.13613  1.77091 -2.00000  2.00000  1.77091 -1.13613  0.24107  0.70921 -1.49702  1.94188 -1.94188  1.49702 -0.70921 -0.24107  1.13613 -1.77091  2.00000 -1.77091  1.13613 -0.24107 -0.70921  1.49702 -1.94188  1.94188 -1.49702  0.70921  0.24107 -1.13613  1.77091 -2.00000  1.77091 -1.13613  0.24107  0.70921 -1.49702  1.94188 -1.94188  1.49702 -0.70921 -0.24107  1.13613 -1.77091 -2.00000     ... ... ..... ....... ......... ........... .............
E34g *  2.00000 -1.83996  1.38545 -0.70921 -0.08053  0.85739 -1.49702  1.89707 -1.99351  1.77091 -1.26489  0.55643  0.24107 -1.00000  1.59889 -1.94188  1.97410 -1.69038  1.13613 -0.40005 -0.40005  1.13613 -1.69038  1.97410 -1.94188  1.59889 -1.00000  0.24107  0.55643 -1.26489  1.77091 -1.99351  1.89707 -1.49702  0.85739 -0.08053 -0.70921  1.38545 -1.83996  2.00000  2.00000 -1.83996  1.38545 -0.70921 -0.08053  0.85739 -1.49702  1.89707 -1.99351  1.77091 -1.26489  0.55643  0.24107 -1.00000  1.59889 -1.94188  1.97410 -1.69038  1.13613 -0.40005 -0.40005  1.13613 -1.69038  1.97410 -1.94188  1.59889 -1.00000  0.24107  0.55643 -1.26489  1.77091 -1.99351  1.89707 -1.49702  0.85739 -0.08053 -0.70921  1.38545 -1.83996  2.00000     ... ... ..... ....... ......... ........... .............
E35g *  2.00000 -1.89707  1.59889 -1.13613  0.55643  0.08053 -0.70921  1.26489 -1.69038  1.94188 -1.99351  1.83996 -1.49702  1.00000 -0.40005 -0.24107  0.85739 -1.38545  1.77091 -1.97410  1.97410 -1.77091  1.38545 -0.85739  0.24107  0.40005 -1.00000  1.49702 -1.83996  1.99351 -1.94188  1.69038 -1.26489  0.70921 -0.08053 -0.55643  1.13613 -1.59889  1.89707 -2.00000  2.00000  1.89707 -1.59889  1.13613 -0.55643 -0.08053  0.70921 -1.26489  1.69038 -1.94188  1.99351 -1.83996  1.49702 -1.00000  0.40005  0.24107 -0.85739  1.38545 -1.77091  1.97410 -1.97410  1.77091 -1.38545  0.85739 -0.24107 -0.40005  1.00000 -1.49702  1.83996 -1.99351  1.94188 -1.69038  1.26489 -0.70921  0.08053  0.55643 -1.13613  1.59889 -1.89707 -2.00000     ... ... ..... ....... ......... ........... .............
E36g *  2.00000 -1.94188  1.77091 -1.49702  1.13613 -0.70921  0.24107  0.24107 -0.70921  1.13613 -1.49702  1.77091 -1.94188  2.00000 -1.94188  1.77091 -1.49702  1.13613 -0.70921  0.24107  0.24107 -0.70921  1.13613 -1.49702  1.77091 -1.94188  2.00000 -1.94188  1.77091 -1.49702  1.13613 -0.70921  0.24107  0.24107 -0.70921  1.13613 -1.49702  1.77091 -1.94188  2.00000  2.00000 -1.94188  1.77091 -1.49702  1.13613 -0.70921  0.24107  0.24107 -0.70921  1.13613 -1.49702  1.77091 -1.94188  2.00000 -1.94188  1.77091 -1.49702  1.13613 -0.70921  0.24107  0.24107 -0.70921  1.13613 -1.49702  1.77091 -1.94188  2.00000 -1.94188  1.77091 -1.49702  1.13613 -0.70921  0.24107  0.24107 -0.70921  1.13613 -1.49702  1.77091 -1.94188  2.00000     ... ... ..... ....... ......... ........... .............
E37g *  2.00000 -1.97410  1.89707 -1.77091  1.59889 -1.38545  1.13613 -0.85739  0.55643 -0.24107 -0.08053  0.40005 -0.70921  1.00000 -1.26489  1.49702 -1.69038  1.83996 -1.94188  1.99351 -1.99351  1.94188 -1.83996  1.69038 -1.49702  1.26489 -1.00000  0.70921 -0.40005  0.08053  0.24107 -0.55643  0.85739 -1.13613  1.38545 -1.59889  1.77091 -1.89707  1.97410 -2.00000  2.00000  1.97410 -1.89707  1.77091 -1.59889  1.38545 -1.13613  0.85739 -0.55643  0.24107  0.08053 -0.40005  0.70921 -1.00000  1.26489 -1.49702  1.69038 -1.83996  1.94188 -1.99351  1.99351 -1.94188  1.83996 -1.69038  1.49702 -1.26489  1.00000 -0.70921  0.40005 -0.08053 -0.24107  0.55643 -0.85739  1.13613 -1.38545  1.59889 -1.77091  1.89707 -1.97410 -2.00000     ... ... ..... ....... ......... ........... .............
E38g *  2.00000 -1.99351  1.97410 -1.94188  1.89707 -1.83996  1.77091 -1.69038  1.59889 -1.49702  1.38545 -1.26489  1.13613 -1.00000  0.85739 -0.70921  0.55643 -0.40005  0.24107 -0.08053 -0.08053  0.24107 -0.40005  0.55643 -0.70921  0.85739 -1.00000  1.13613 -1.26489  1.38545 -1.49702  1.59889 -1.69038  1.77091 -1.83996  1.89707 -1.94188  1.97410 -1.99351  2.00000  2.00000 -1.99351  1.97410 -1.94188  1.89707 -1.83996  1.77091 -1.69038  1.59889 -1.49702  1.38545 -1.26489  1.13613 -1.00000  0.85739 -0.70921  0.55643 -0.40005  0.24107 -0.08053 -0.08053  0.24107 -0.40005  0.55643 -0.70921  0.85739 -1.00000  1.13613 -1.26489  1.38545 -1.49702  1.59889 -1.69038  1.77091 -1.83996  1.89707 -1.94188  1.97410 -1.99351  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     ... ..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     ... ... ..... ....... ......... ........... .............
E1u  *  2.00000  1.99351  1.97410  1.94188  1.89707  1.83996  1.77091  1.69038  1.59889  1.49702  1.38545  1.26489  1.13613  1.00000  0.85739  0.70921  0.55643  0.40005  0.24107  0.08053 -0.08053 -0.24107 -0.40005 -0.55643 -0.70921 -0.85739 -1.00000 -1.13613 -1.26489 -1.38545 -1.49702 -1.59889 -1.69038 -1.77091 -1.83996 -1.89707 -1.94188 -1.97410 -1.99351 -2.00000 -2.00000  1.99351  1.97410  1.94188  1.89707  1.83996  1.77091  1.69038  1.59889  1.49702  1.38545  1.26489  1.13613  1.00000  0.85739  0.70921  0.55643  0.40005  0.24107  0.08053 -0.08053 -0.24107 -0.40005 -0.55643 -0.70921 -0.85739 -1.00000 -1.13613 -1.26489 -1.38545 -1.49702 -1.59889 -1.69038 -1.77091 -1.83996 -1.89707 -1.94188 -1.97410 -1.99351  2.00000     ... TT. ..... ....TT. ......... ........TT. .............
E2u  *  2.00000  1.97410  1.89707  1.77091  1.59889  1.38545  1.13613  0.85739  0.55643  0.24107 -0.08053 -0.40005 -0.70921 -1.00000 -1.26489 -1.49702 -1.69038 -1.83996 -1.94188 -1.99351 -1.99351 -1.94188 -1.83996 -1.69038 -1.49702 -1.26489 -1.00000 -0.70921 -0.40005 -0.08053  0.24107  0.55643  0.85739  1.13613  1.38545  1.59889  1.77091  1.89707  1.97410  2.00000 -2.00000 -1.97410 -1.89707 -1.77091 -1.59889 -1.38545 -1.13613 -0.85739 -0.55643 -0.24107  0.08053  0.40005  0.70921  1.00000  1.26489  1.49702  1.69038  1.83996  1.94188  1.99351  1.99351  1.94188  1.83996  1.69038  1.49702  1.26489  1.00000  0.70921  0.40005  0.08053 -0.24107 -0.55643 -0.85739 -1.13613 -1.38545 -1.59889 -1.77091 -1.89707 -1.97410 -2.00000     ... ... ..... ..TT... ......... ......TT... .............
E3u  *  2.00000  1.94188  1.77091  1.49702  1.13613  0.70921  0.24107 -0.24107 -0.70921 -1.13613 -1.49702 -1.77091 -1.94188 -2.00000 -1.94188 -1.77091 -1.49702 -1.13613 -0.70921 -0.24107  0.24107  0.70921  1.13613  1.49702  1.77091  1.94188  2.00000  1.94188  1.77091  1.49702  1.13613  0.70921  0.24107 -0.24107 -0.70921 -1.13613 -1.49702 -1.77091 -1.94188 -2.00000 -2.00000  1.94188  1.77091  1.49702  1.13613  0.70921  0.24107 -0.24107 -0.70921 -1.13613 -1.49702 -1.77091 -1.94188 -2.00000 -1.94188 -1.77091 -1.49702 -1.13613 -0.70921 -0.24107  0.24107  0.70921  1.13613  1.49702  1.77091  1.94188  2.00000  1.94188  1.77091  1.49702  1.13613  0.70921  0.24107 -0.24107 -0.70921 -1.13613 -1.49702 -1.77091 -1.94188  2.00000     ... ... ..... TT..... ......... ....TT..... .............
E4u  *  2.00000  1.89707  1.59889  1.13613  0.55643 -0.08053 -0.70921 -1.26489 -1.69038 -1.94188 -1.99351 -1.83996 -1.49702 -1.00000 -0.40005  0.24107  0.85739  1.38545  1.77091  1.97410  1.97410  1.77091  1.38545  0.85739  0.24107 -0.40005 -1.00000 -1.49702 -1.83996 -1.99351 -1.94188 -1.69038 -1.26489 -0.70921 -0.08053  0.55643  1.13613  1.59889  1.89707  2.00000 -2.00000 -1.89707 -1.59889 -1.13613 -0.55643  0.08053  0.70921  1.26489  1.69038  1.94188  1.99351  1.83996  1.49702  1.00000  0.40005 -0.24107 -0.85739 -1.38545 -1.77091 -1.97410 -1.97410 -1.77091 -1.38545 -0.85739 -0.24107  0.40005  1.00000  1.49702  1.83996  1.99351  1.94188  1.69038  1.26489  0.70921  0.08053 -0.55643 -1.13613 -1.59889 -1.89707 -2.00000     ... ... ..... ....... ......... ..TT....... .............
E5u  *  2.00000  1.83996  1.38545  0.70921 -0.08053 -0.85739 -1.49702 -1.89707 -1.99351 -1.77091 -1.26489 -0.55643  0.24107  1.00000  1.59889  1.94188  1.97410  1.69038  1.13613  0.40005 -0.40005 -1.13613 -1.69038 -1.97410 -1.94188 -1.59889 -1.00000 -0.24107  0.55643  1.26489  1.77091  1.99351  1.89707  1.49702  0.85739  0.08053 -0.70921 -1.38545 -1.83996 -2.00000 -2.00000  1.83996  1.38545  0.70921 -0.08053 -0.85739 -1.49702 -1.89707 -1.99351 -1.77091 -1.26489 -0.55643  0.24107  1.00000  1.59889  1.94188  1.97410  1.69038  1.13613  0.40005 -0.40005 -1.13613 -1.69038 -1.97410 -1.94188 -1.59889 -1.00000 -0.24107  0.55643  1.26489  1.77091  1.99351  1.89707  1.49702  0.85739  0.08053 -0.70921 -1.38545 -1.83996  2.00000     ... ... ..... ....... ......... TT......... .............
E6u  *  2.00000  1.77091  1.13613  0.24107 -0.70921 -1.49702 -1.94188 -1.94188 -1.49702 -0.70921  0.24107  1.13613  1.77091  2.00000  1.77091  1.13613  0.24107 -0.70921 -1.49702 -1.94188 -1.94188 -1.49702 -0.70921  0.24107  1.13613  1.77091  2.00000  1.77091  1.13613  0.24107 -0.70921 -1.49702 -1.94188 -1.94188 -1.49702 -0.70921  0.24107  1.13613  1.77091  2.00000 -2.00000 -1.77091 -1.13613 -0.24107  0.70921  1.49702  1.94188  1.94188  1.49702  0.70921 -0.24107 -1.13613 -1.77091 -2.00000 -1.77091 -1.13613 -0.24107  0.70921  1.49702  1.94188  1.94188  1.49702  0.70921 -0.24107 -1.13613 -1.77091 -2.00000 -1.77091 -1.13613 -0.24107  0.70921  1.49702  1.94188  1.94188  1.49702  0.70921 -0.24107 -1.13613 -1.77091 -2.00000     ... ... ..... ....... ......... ........... .............
E7u  *  2.00000  1.69038  0.85739 -0.24107 -1.26489 -1.89707 -1.94188 -1.38545 -0.40005  0.70921  1.59889  1.99351  1.77091  1.00000 -0.08053 -1.13613 -1.83996 -1.97410 -1.49702 -0.55643  0.55643  1.49702  1.97410  1.83996  1.13613  0.08053 -1.00000 -1.77091 -1.99351 -1.59889 -0.70921  0.40005  1.38545  1.94188  1.89707  1.26489  0.24107 -0.85739 -1.69038 -2.00000 -2.00000  1.69038  0.85739 -0.24107 -1.26489 -1.89707 -1.94188 -1.38545 -0.40005  0.70921  1.59889  1.99351  1.77091  1.00000 -0.08053 -1.13613 -1.83996 -1.97410 -1.49702 -0.55643  0.55643  1.49702  1.97410  1.83996  1.13613  0.08053 -1.00000 -1.77091 -1.99351 -1.59889 -0.70921  0.40005  1.38545  1.94188  1.89707  1.26489  0.24107 -0.85739 -1.69038  2.00000     ... ... ..... ....... ......... ........... .............
E8u  *  2.00000  1.59889  0.55643 -0.70921 -1.69038 -1.99351 -1.49702 -0.40005  0.85739  1.77091  1.97410  1.38545  0.24107 -1.00000 -1.83996 -1.94188 -1.26489 -0.08053  1.13613  1.89707  1.89707  1.13613 -0.08053 -1.26489 -1.94188 -1.83996 -1.00000  0.24107  1.38545  1.97410  1.77091  0.85739 -0.40005 -1.49702 -1.99351 -1.69038 -0.70921  0.55643  1.59889  2.00000 -2.00000 -1.59889 -0.55643  0.70921  1.69038  1.99351  1.49702  0.40005 -0.85739 -1.77091 -1.97410 -1.38545 -0.24107  1.00000  1.83996  1.94188  1.26489  0.08053 -1.13613 -1.89707 -1.89707 -1.13613  0.08053  1.26489  1.94188  1.83996  1.00000 -0.24107 -1.38545 -1.97410 -1.77091 -0.85739  0.40005  1.49702  1.99351  1.69038  0.70921 -0.55643 -1.59889 -2.00000     ... ... ..... ....... ......... ........... .............
E9u  *  2.00000  1.49702  0.24107 -1.13613 -1.94188 -1.77091 -0.70921  0.70921  1.77091  1.94188  1.13613 -0.24107 -1.49702 -2.00000 -1.49702 -0.24107  1.13613  1.94188  1.77091  0.70921 -0.70921 -1.77091 -1.94188 -1.13613  0.24107  1.49702  2.00000  1.49702  0.24107 -1.13613 -1.94188 -1.77091 -0.70921  0.70921  1.77091  1.94188  1.13613 -0.24107 -1.49702 -2.00000 -2.00000  1.49702  0.24107 -1.13613 -1.94188 -1.77091 -0.70921  0.70921  1.77091  1.94188  1.13613 -0.24107 -1.49702 -2.00000 -1.49702 -0.24107  1.13613  1.94188  1.77091  0.70921 -0.70921 -1.77091 -1.94188 -1.13613  0.24107  1.49702  2.00000  1.49702  0.24107 -1.13613 -1.94188 -1.77091 -0.70921  0.70921  1.77091  1.94188  1.13613 -0.24107 -1.49702  2.00000     ... ... ..... ....... ......... ........... .............
E10u *  2.00000  1.38545 -0.08053 -1.49702 -1.99351 -1.26489  0.24107  1.59889  1.97410  1.13613 -0.40005 -1.69038 -1.94188 -1.00000  0.55643  1.77091  1.89707  0.85739 -0.70921 -1.83996 -1.83996 -0.70921  0.85739  1.89707  1.77091  0.55643 -1.00000 -1.94188 -1.69038 -0.40005  1.13613  1.97410  1.59889  0.24107 -1.26489 -1.99351 -1.49702 -0.08053  1.38545  2.00000 -2.00000 -1.38545  0.08053  1.49702  1.99351  1.26489 -0.24107 -1.59889 -1.97410 -1.13613  0.40005  1.69038  1.94188  1.00000 -0.55643 -1.77091 -1.89707 -0.85739  0.70921  1.83996  1.83996  0.70921 -0.85739 -1.89707 -1.77091 -0.55643  1.00000  1.94188  1.69038  0.40005 -1.13613 -1.97410 -1.59889 -0.24107  1.26489  1.99351  1.49702  0.08053 -1.38545 -2.00000     ... ... ..... ....... ......... ........... .............
E11u *  2.00000  1.26489 -0.40005 -1.77091 -1.83996 -0.55643  1.13613  1.99351  1.38545 -0.24107 -1.69038 -1.89707 -0.70921  1.00000  1.97410  1.49702 -0.08053 -1.59889 -1.94188 -0.85739  0.85739  1.94188  1.59889  0.08053 -1.49702 -1.97410 -1.00000  0.70921  1.89707  1.69038  0.24107 -1.38545 -1.99351 -1.13613  0.55643  1.83996  1.77091  0.40005 -1.26489 -2.00000 -2.00000  1.26489 -0.40005 -1.77091 -1.83996 -0.55643  1.13613  1.99351  1.38545 -0.24107 -1.69038 -1.89707 -0.70921  1.00000  1.97410  1.49702 -0.08053 -1.59889 -1.94188 -0.85739  0.85739  1.94188  1.59889  0.08053 -1.49702 -1.97410 -1.00000  0.70921  1.89707  1.69038  0.24107 -1.38545 -1.99351 -1.13613  0.55643  1.83996  1.77091  0.40005 -1.26489  2.00000     ... ... ..... ....... ......... ........... .............
E12u *  2.00000  1.13613 -0.70921 -1.94188 -1.49702  0.24107  1.77091  1.77091  0.24107 -1.49702 -1.94188 -0.70921  1.13613  2.00000  1.13613 -0.70921 -1.94188 -1.49702  0.24107  1.77091  1.77091  0.24107 -1.49702 -1.94188 -0.70921  1.13613  2.00000  1.13613 -0.70921 -1.94188 -1.49702  0.24107  1.77091  1.77091  0.24107 -1.49702 -1.94188 -0.70921  1.13613  2.00000 -2.00000 -1.13613  0.70921  1.94188  1.49702 -0.24107 -1.77091 -1.77091 -0.24107  1.49702  1.94188  0.70921 -1.13613 -2.00000 -1.13613  0.70921  1.94188  1.49702 -0.24107 -1.77091 -1.77091 -0.24107  1.49702  1.94188  0.70921 -1.13613 -2.00000 -1.13613  0.70921  1.94188  1.49702 -0.24107 -1.77091 -1.77091 -0.24107  1.49702  1.94188  0.70921 -1.13613 -2.00000     ... ... ..... ....... ......... ........... .............
E13u *  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000  2.00000     ... ... ..... ....... ......... ........... .............
E14u *  2.00000  0.85739 -1.26489 -1.94188 -0.40005  1.59889  1.77091 -0.08053 -1.83996 -1.49702  0.55643  1.97410  1.13613 -1.00000 -1.99351 -0.70921  1.38545  1.89707  0.24107 -1.69038 -1.69038  0.24107  1.89707  1.38545 -0.70921 -1.99351 -1.00000  1.13613  1.97410  0.55643 -1.49702 -1.83996 -0.08053  1.77091  1.59889 -0.40005 -1.94188 -1.26489  0.85739  2.00000 -2.00000 -0.85739  1.26489  1.94188  0.40005 -1.59889 -1.77091  0.08053  1.83996  1.49702 -0.55643 -1.97410 -1.13613  1.00000  1.99351  0.70921 -1.38545 -1.89707 -0.24107  1.69038  1.69038 -0.24107 -1.89707 -1.38545  0.70921  1.99351  1.00000 -1.13613 -1.97410 -0.55643  1.49702  1.83996  0.08053 -1.77091 -1.59889  0.40005  1.94188  1.26489 -0.85739 -2.00000     ... ... ..... ....... ......... ........... .............
E15u *  2.00000  0.70921 -1.49702 -1.77091  0.24107  1.94188  1.13613 -1.13613 -1.94188 -0.24107  1.77091  1.49702 -0.70921 -2.00000 -0.70921  1.49702  1.77091 -0.24107 -1.94188 -1.13613  1.13613  1.94188  0.24107 -1.77091 -1.49702  0.70921  2.00000  0.70921 -1.49702 -1.77091  0.24107  1.94188  1.13613 -1.13613 -1.94188 -0.24107  1.77091  1.49702 -0.70921 -2.00000 -2.00000  0.70921 -1.49702 -1.77091  0.24107  1.94188  1.13613 -1.13613 -1.94188 -0.24107  1.77091  1.49702 -0.70921 -2.00000 -0.70921  1.49702  1.77091 -0.24107 -1.94188 -1.13613  1.13613  1.94188  0.24107 -1.77091 -1.49702  0.70921  2.00000  0.70921 -1.49702 -1.77091  0.24107  1.94188  1.13613 -1.13613 -1.94188 -0.24107  1.77091  1.49702 -0.70921  2.00000     ... ... ..... ....... ......... ........... .............
E16u *  2.00000  0.55643 -1.69038 -1.49702  0.85739  1.97410  0.24107 -1.83996 -1.26489  1.13613  1.89707 -0.08053 -1.94188 -1.00000  1.38545  1.77091 -0.40005 -1.99351 -0.70921  1.59889  1.59889 -0.70921 -1.99351 -0.40005  1.77091  1.38545 -1.00000 -1.94188 -0.08053  1.89707  1.13613 -1.26489 -1.83996  0.24107  1.97410  0.85739 -1.49702 -1.69038  0.55643  2.00000 -2.00000 -0.55643  1.69038  1.49702 -0.85739 -1.97410 -0.24107  1.83996  1.26489 -1.13613 -1.89707  0.08053  1.94188  1.00000 -1.38545 -1.77091  0.40005  1.99351  0.70921 -1.59889 -1.59889  0.70921  1.99351  0.40005 -1.77091 -1.38545  1.00000  1.94188  0.08053 -1.89707 -1.13613  1.26489  1.83996 -0.24107 -1.97410 -0.85739  1.49702  1.69038 -0.55643 -2.00000     ... ... ..... ....... ......... ........... .............
E17u *  2.00000  0.40005 -1.83996 -1.13613  1.38545  1.69038 -0.70921 -1.97410 -0.08053  1.94188  0.85739 -1.59889 -1.49702  1.00000  1.89707 -0.24107 -1.99351 -0.55643  1.77091  1.26489 -1.26489 -1.77091  0.55643  1.99351  0.24107 -1.89707 -1.00000  1.49702  1.59889 -0.85739 -1.94188  0.08053  1.97410  0.70921 -1.69038 -1.38545  1.13613  1.83996 -0.40005 -2.00000 -2.00000  0.40005 -1.83996 -1.13613  1.38545  1.69038 -0.70921 -1.97410 -0.08053  1.94188  0.85739 -1.59889 -1.49702  1.00000  1.89707 -0.24107 -1.99351 -0.55643  1.77091  1.26489 -1.26489 -1.77091  0.55643  1.99351  0.24107 -1.89707 -1.00000  1.49702  1.59889 -0.85739 -1.94188  0.08053  1.97410  0.70921 -1.69038 -1.38545  1.13613  1.83996 -0.40005  2.00000     ... ... ..... ....... ......... ........... .............
E18u *  2.00000  0.24107 -1.94188 -0.70921  1.77091  1.13613 -1.49702 -1.49702  1.13613  1.77091 -0.70921 -1.94188  0.24107  2.00000  0.24107 -1.94188 -0.70921  1.77091  1.13613 -1.49702 -1.49702  1.13613  1.77091 -0.70921 -1.94188  0.24107  2.00000  0.24107 -1.94188 -0.70921  1.77091  1.13613 -1.49702 -1.49702  1.13613  1.77091 -0.70921 -1.94188  0.24107  2.00000 -2.00000 -0.24107  1.94188  0.70921 -1.77091 -1.13613  1.49702  1.49702 -1.13613 -1.77091  0.70921  1.94188 -0.24107 -2.00000 -0.24107  1.94188  0.70921 -1.77091 -1.13613  1.49702  1.49702 -1.13613 -1.77091  0.70921  1.94188 -0.24107 -2.00000 -0.24107  1.94188  0.70921 -1.77091 -1.13613  1.49702  1.49702 -1.13613 -1.77091  0.70921  1.94188 -0.24107 -2.00000     ... ... ..... ....... ......... ........... .............
E19u *  2.00000  0.08053 -1.99351 -0.24107  1.97410  0.40005 -1.94188 -0.55643  1.89707  0.70921 -1.83996 -0.85739  1.77091  1.00000 -1.69038 -1.13613  1.59889  1.26489 -1.49702 -1.38545  1.38545  1.49702 -1.26489 -1.59889  1.13613  1.69038 -1.00000 -1.77091  0.85739  1.83996 -0.70921 -1.89707  0.55643  1.94188 -0.40005 -1.97410  0.24107  1.99351 -0.08053 -2.00000 -2.00000  0.08053 -1.99351 -0.24107  1.97410  0.40005 -1.94188 -0.55643  1.89707  0.70921 -1.83996 -0.85739  1.77091  1.00000 -1.69038 -1.13613  1.59889  1.26489 -1.49702 -1.38545  1.38545  1.49702 -1.26489 -1.59889  1.13613  1.69038 -1.00000 -1.77091  0.85739  1.83996 -0.70921 -1.89707  0.55643  1.94188 -0.40005 -1.97410  0.24107  1.99351 -0.08053  2.00000     ... ... ..... ....... ......... ........... .............
E20u *  2.00000 -0.08053 -1.99351  0.24107  1.97410 -0.40005 -1.94188  0.55643  1.89707 -0.70921 -1.83996  0.85739  1.77091 -1.00000 -1.69038  1.13613  1.59889 -1.26489 -1.49702  1.38545  1.38545 -1.49702 -1.26489  1.59889  1.13613 -1.69038 -1.00000  1.77091  0.85739 -1.83996 -0.70921  1.89707  0.55643 -1.94188 -0.40005  1.97410  0.24107 -1.99351 -0.08053  2.00000 -2.00000  0.08053  1.99351 -0.24107 -1.97410  0.40005  1.94188 -0.55643 -1.89707  0.70921  1.83996 -0.85739 -1.77091  1.00000  1.69038 -1.13613 -1.59889  1.26489  1.49702 -1.38545 -1.38545  1.49702  1.26489 -1.59889 -1.13613  1.69038  1.00000 -1.77091 -0.85739  1.83996  0.70921 -1.89707 -0.55643  1.94188  0.40005 -1.97410 -0.24107  1.99351  0.08053 -2.00000     ... ... ..... ....... ......... ........... .............
E21u *  2.00000 -0.24107 -1.94188  0.70921  1.77091 -1.13613 -1.49702  1.49702  1.13613 -1.77091 -0.70921  1.94188  0.24107 -2.00000  0.24107  1.94188 -0.70921 -1.77091  1.13613  1.49702 -1.49702 -1.13613  1.77091  0.70921 -1.94188 -0.24107  2.00000 -0.24107 -1.94188  0.70921  1.77091 -1.13613 -1.49702  1.49702  1.13613 -1.77091 -0.70921  1.94188  0.24107 -2.00000 -2.00000 -0.24107 -1.94188  0.70921  1.77091 -1.13613 -1.49702  1.49702  1.13613 -1.77091 -0.70921  1.94188  0.24107 -2.00000  0.24107  1.94188 -0.70921 -1.77091  1.13613  1.49702 -1.49702 -1.13613  1.77091  0.70921 -1.94188 -0.24107  2.00000 -0.24107 -1.94188  0.70921  1.77091 -1.13613 -1.49702  1.49702  1.13613 -1.77091 -0.70921  1.94188  0.24107  2.00000     ... ... ..... ....... ......... ........... .............
E22u *  2.00000 -0.40005 -1.83996  1.13613  1.38545 -1.69038 -0.70921  1.97410 -0.08053 -1.94188  0.85739  1.59889 -1.49702 -1.00000  1.89707  0.24107 -1.99351  0.55643  1.77091 -1.26489 -1.26489  1.77091  0.55643 -1.99351  0.24107  1.89707 -1.00000 -1.49702  1.59889  0.85739 -1.94188 -0.08053  1.97410 -0.70921 -1.69038  1.38545  1.13613 -1.83996 -0.40005  2.00000 -2.00000  0.40005  1.83996 -1.13613 -1.38545  1.69038  0.70921 -1.97410  0.08053  1.94188 -0.85739 -1.59889  1.49702  1.00000 -1.89707 -0.24107  1.99351 -0.55643 -1.77091  1.26489  1.26489 -1.77091 -0.55643  1.99351 -0.24107 -1.89707  1.00000  1.49702 -1.59889 -0.85739  1.94188  0.08053 -1.97410  0.70921  1.69038 -1.38545 -1.13613  1.83996  0.40005 -2.00000     ... ... ..... ....... ......... ........... .............
E23u *  2.00000 -0.55643 -1.69038  1.49702  0.85739 -1.97410  0.24107  1.83996 -1.26489 -1.13613  1.89707  0.08053 -1.94188  1.00000  1.38545 -1.77091 -0.40005  1.99351 -0.70921 -1.59889  1.59889  0.70921 -1.99351  0.40005  1.77091 -1.38545 -1.00000  1.94188 -0.08053 -1.89707  1.13613  1.26489 -1.83996 -0.24107  1.97410 -0.85739 -1.49702  1.69038  0.55643 -2.00000 -2.00000 -0.55643 -1.69038  1.49702  0.85739 -1.97410  0.24107  1.83996 -1.26489 -1.13613  1.89707  0.08053 -1.94188  1.00000  1.38545 -1.77091 -0.40005  1.99351 -0.70921 -1.59889  1.59889  0.70921 -1.99351  0.40005  1.77091 -1.38545 -1.00000  1.94188 -0.08053 -1.89707  1.13613  1.26489 -1.83996 -0.24107  1.97410 -0.85739 -1.49702  1.69038  0.55643  2.00000     ... ... ..... ....... ......... ........... .............
E24u *  2.00000 -0.70921 -1.49702  1.77091  0.24107 -1.94188  1.13613  1.13613 -1.94188  0.24107  1.77091 -1.49702 -0.70921  2.00000 -0.70921 -1.49702  1.77091  0.24107 -1.94188  1.13613  1.13613 -1.94188  0.24107  1.77091 -1.49702 -0.70921  2.00000 -0.70921 -1.49702  1.77091  0.24107 -1.94188  1.13613  1.13613 -1.94188  0.24107  1.77091 -1.49702 -0.70921  2.00000 -2.00000  0.70921  1.49702 -1.77091 -0.24107  1.94188 -1.13613 -1.13613  1.94188 -0.24107 -1.77091  1.49702  0.70921 -2.00000  0.70921  1.49702 -1.77091 -0.24107  1.94188 -1.13613 -1.13613  1.94188 -0.24107 -1.77091  1.49702  0.70921 -2.00000  0.70921  1.49702 -1.77091 -0.24107  1.94188 -1.13613 -1.13613  1.94188 -0.24107 -1.77091  1.49702  0.70921 -2.00000     ... ... ..... ....... ......... ........... .............
E25u *  2.00000 -0.85739 -1.26489  1.94188 -0.40005 -1.59889  1.77091  0.08053 -1.83996  1.49702  0.55643 -1.97410  1.13613  1.00000 -1.99351  0.70921  1.38545 -1.89707  0.24107  1.69038 -1.69038 -0.24107  1.89707 -1.38545 -0.70921  1.99351 -1.00000 -1.13613  1.97410 -0.55643 -1.49702  1.83996 -0.08053 -1.77091  1.59889  0.40005 -1.94188  1.26489  0.85739 -2.00000 -2.00000 -0.85739 -1.26489  1.94188 -0.40005 -1.59889  1.77091  0.08053 -1.83996  1.49702  0.55643 -1.97410  1.13613  1.00000 -1.99351  0.70921  1.38545 -1.89707  0.24107  1.69038 -1.69038 -0.24107  1.89707 -1.38545 -0.70921  1.99351 -1.00000 -1.13613  1.97410 -0.55643 -1.49702  1.83996 -0.08053 -1.77091  1.59889  0.40005 -1.94188  1.26489  0.85739  2.00000     ... ... ..... ....... ......... ........... .............
E26u *  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000     ... ... ..... ....... ......... ........... .............
E27u *  2.00000 -1.13613 -0.70921  1.94188 -1.49702 -0.24107  1.77091 -1.77091  0.24107  1.49702 -1.94188  0.70921  1.13613 -2.00000  1.13613  0.70921 -1.94188  1.49702  0.24107 -1.77091  1.77091 -0.24107 -1.49702  1.94188 -0.70921 -1.13613  2.00000 -1.13613 -0.70921  1.94188 -1.49702 -0.24107  1.77091 -1.77091  0.24107  1.49702 -1.94188  0.70921  1.13613 -2.00000 -2.00000 -1.13613 -0.70921  1.94188 -1.49702 -0.24107  1.77091 -1.77091  0.24107  1.49702 -1.94188  0.70921  1.13613 -2.00000  1.13613  0.70921 -1.94188  1.49702  0.24107 -1.77091  1.77091 -0.24107 -1.49702  1.94188 -0.70921 -1.13613  2.00000 -1.13613 -0.70921  1.94188 -1.49702 -0.24107  1.77091 -1.77091  0.24107  1.49702 -1.94188  0.70921  1.13613  2.00000     ... ... ..... ....... ......... ........... .............
E28u *  2.00000 -1.26489 -0.40005  1.77091 -1.83996  0.55643  1.13613 -1.99351  1.38545  0.24107 -1.69038  1.89707 -0.70921 -1.00000  1.97410 -1.49702 -0.08053  1.59889 -1.94188  0.85739  0.85739 -1.94188  1.59889 -0.08053 -1.49702  1.97410 -1.00000 -0.70921  1.89707 -1.69038  0.24107  1.38545 -1.99351  1.13613  0.55643 -1.83996  1.77091 -0.40005 -1.26489  2.00000 -2.00000  1.26489  0.40005 -1.77091  1.83996 -0.55643 -1.13613  1.99351 -1.38545 -0.24107  1.69038 -1.89707  0.70921  1.00000 -1.97410  1.49702  0.08053 -1.59889  1.94188 -0.85739 -0.85739  1.94188 -1.59889  0.08053  1.49702 -1.97410  1.00000  0.70921 -1.89707  1.69038 -0.24107 -1.38545  1.99351 -1.13613 -0.55643  1.83996 -1.77091  0.40005  1.26489 -2.00000     ... ... ..... ....... ......... ........... .............
E29u *  2.00000 -1.38545 -0.08053  1.49702 -1.99351  1.26489  0.24107 -1.59889  1.97410 -1.13613 -0.40005  1.69038 -1.94188  1.00000  0.55643 -1.77091  1.89707 -0.85739 -0.70921  1.83996 -1.83996  0.70921  0.85739 -1.89707  1.77091 -0.55643 -1.00000  1.94188 -1.69038  0.40005  1.13613 -1.97410  1.59889 -0.24107 -1.26489  1.99351 -1.49702  0.08053  1.38545 -2.00000 -2.00000 -1.38545 -0.08053  1.49702 -1.99351  1.26489  0.24107 -1.59889  1.97410 -1.13613 -0.40005  1.69038 -1.94188  1.00000  0.55643 -1.77091  1.89707 -0.85739 -0.70921  1.83996 -1.83996  0.70921  0.85739 -1.89707  1.77091 -0.55643 -1.00000  1.94188 -1.69038  0.40005  1.13613 -1.97410  1.59889 -0.24107 -1.26489  1.99351 -1.49702  0.08053  1.38545  2.00000     ... ... ..... ....... ......... ........... .............
E30u *  2.00000 -1.49702  0.24107  1.13613 -1.94188  1.77091 -0.70921 -0.70921  1.77091 -1.94188  1.13613  0.24107 -1.49702  2.00000 -1.49702  0.24107  1.13613 -1.94188  1.77091 -0.70921 -0.70921  1.77091 -1.94188  1.13613  0.24107 -1.49702  2.00000 -1.49702  0.24107  1.13613 -1.94188  1.77091 -0.70921 -0.70921  1.77091 -1.94188  1.13613  0.24107 -1.49702  2.00000 -2.00000  1.49702 -0.24107 -1.13613  1.94188 -1.77091  0.70921  0.70921 -1.77091  1.94188 -1.13613 -0.24107  1.49702 -2.00000  1.49702 -0.24107 -1.13613  1.94188 -1.77091  0.70921  0.70921 -1.77091  1.94188 -1.13613 -0.24107  1.49702 -2.00000  1.49702 -0.24107 -1.13613  1.94188 -1.77091  0.70921  0.70921 -1.77091  1.94188 -1.13613 -0.24107  1.49702 -2.00000     ... ... ..... ....... ......... ........... .............
E31u *  2.00000 -1.59889  0.55643  0.70921 -1.69038  1.99351 -1.49702  0.40005  0.85739 -1.77091  1.97410 -1.38545  0.24107  1.00000 -1.83996  1.94188 -1.26489  0.08053  1.13613 -1.89707  1.89707 -1.13613 -0.08053  1.26489 -1.94188  1.83996 -1.00000 -0.24107  1.38545 -1.97410  1.77091 -0.85739 -0.40005  1.49702 -1.99351  1.69038 -0.70921 -0.55643  1.59889 -2.00000 -2.00000 -1.59889  0.55643  0.70921 -1.69038  1.99351 -1.49702  0.40005  0.85739 -1.77091  1.97410 -1.38545  0.24107  1.00000 -1.83996  1.94188 -1.26489  0.08053  1.13613 -1.89707  1.89707 -1.13613 -0.08053  1.26489 -1.94188  1.83996 -1.00000 -0.24107  1.38545 -1.97410  1.77091 -0.85739 -0.40005  1.49702 -1.99351  1.69038 -0.70921 -0.55643  1.59889  2.00000     ... ... ..... ....... ......... ........... .............
E32u *  2.00000 -1.69038  0.85739  0.24107 -1.26489  1.89707 -1.94188  1.38545 -0.40005 -0.70921  1.59889 -1.99351  1.77091 -1.00000 -0.08053  1.13613 -1.83996  1.97410 -1.49702  0.55643  0.55643 -1.49702  1.97410 -1.83996  1.13613 -0.08053 -1.00000  1.77091 -1.99351  1.59889 -0.70921 -0.40005  1.38545 -1.94188  1.89707 -1.26489  0.24107  0.85739 -1.69038  2.00000 -2.00000  1.69038 -0.85739 -0.24107  1.26489 -1.89707  1.94188 -1.38545  0.40005  0.70921 -1.59889  1.99351 -1.77091  1.00000  0.08053 -1.13613  1.83996 -1.97410  1.49702 -0.55643 -0.55643  1.49702 -1.97410  1.83996 -1.13613  0.08053  1.00000 -1.77091  1.99351 -1.59889  0.70921  0.40005 -1.38545  1.94188 -1.89707  1.26489 -0.24107 -0.85739  1.69038 -2.00000     ... ... ..... ....... ......... ........... .............
E33u *  2.00000 -1.77091  1.13613 -0.24107 -0.70921  1.49702 -1.94188  1.94188 -1.49702  0.70921  0.24107 -1.13613  1.77091 -2.00000  1.77091 -1.13613  0.24107  0.70921 -1.49702  1.94188 -1.94188  1.49702 -0.70921 -0.24107  1.13613 -1.77091  2.00000 -1.77091  1.13613 -0.24107 -0.70921  1.49702 -1.94188  1.94188 -1.49702  0.70921  0.24107 -1.13613  1.77091 -2.00000 -2.00000 -1.77091  1.13613 -0.24107 -0.70921  1.49702 -1.94188  1.94188 -1.49702  0.70921  0.24107 -1.13613  1.77091 -2.00000  1.77091 -1.13613  0.24107  0.70921 -1.49702  1.94188 -1.94188  1.49702 -0.70921 -0.24107  1.13613 -1.77091  2.00000 -1.77091  1.13613 -0.24107 -0.70921  1.49702 -1.94188  1.94188 -1.49702  0.70921  0.24107 -1.13613  1.77091  2.00000     ... ... ..... ....... ......... ........... .............
E34u *  2.00000 -1.83996  1.38545 -0.70921 -0.08053  0.85739 -1.49702  1.89707 -1.99351  1.77091 -1.26489  0.55643  0.24107 -1.00000  1.59889 -1.94188  1.97410 -1.69038  1.13613 -0.40005 -0.40005  1.13613 -1.69038  1.97410 -1.94188  1.59889 -1.00000  0.24107  0.55643 -1.26489  1.77091 -1.99351  1.89707 -1.49702  0.85739 -0.08053 -0.70921  1.38545 -1.83996  2.00000 -2.00000  1.83996 -1.38545  0.70921  0.08053 -0.85739  1.49702 -1.89707  1.99351 -1.77091  1.26489 -0.55643 -0.24107  1.00000 -1.59889  1.94188 -1.97410  1.69038 -1.13613  0.40005  0.40005 -1.13613  1.69038 -1.97410  1.94188 -1.59889  1.00000 -0.24107 -0.55643  1.26489 -1.77091  1.99351 -1.89707  1.49702 -0.85739  0.08053  0.70921 -1.38545  1.83996 -2.00000     ... ... ..... ....... ......... ........... .............
E35u *  2.00000 -1.89707  1.59889 -1.13613  0.55643  0.08053 -0.70921  1.26489 -1.69038  1.94188 -1.99351  1.83996 -1.49702  1.00000 -0.40005 -0.24107  0.85739 -1.38545  1.77091 -1.97410  1.97410 -1.77091  1.38545 -0.85739  0.24107  0.40005 -1.00000  1.49702 -1.83996  1.99351 -1.94188  1.69038 -1.26489  0.70921 -0.08053 -0.55643  1.13613 -1.59889  1.89707 -2.00000 -2.00000 -1.89707  1.59889 -1.13613  0.55643  0.08053 -0.70921  1.26489 -1.69038  1.94188 -1.99351  1.83996 -1.49702  1.00000 -0.40005 -0.24107  0.85739 -1.38545  1.77091 -1.97410  1.97410 -1.77091  1.38545 -0.85739  0.24107  0.40005 -1.00000  1.49702 -1.83996  1.99351 -1.94188  1.69038 -1.26489  0.70921 -0.08053 -0.55643  1.13613 -1.59889  1.89707  2.00000     ... ... ..... ....... ......... ........... .............
E36u *  2.00000 -1.94188  1.77091 -1.49702  1.13613 -0.70921  0.24107  0.24107 -0.70921  1.13613 -1.49702  1.77091 -1.94188  2.00000 -1.94188  1.77091 -1.49702  1.13613 -0.70921  0.24107  0.24107 -0.70921  1.13613 -1.49702  1.77091 -1.94188  2.00000 -1.94188  1.77091 -1.49702  1.13613 -0.70921  0.24107  0.24107 -0.70921  1.13613 -1.49702  1.77091 -1.94188  2.00000 -2.00000  1.94188 -1.77091  1.49702 -1.13613  0.70921 -0.24107 -0.24107  0.70921 -1.13613  1.49702 -1.77091  1.94188 -2.00000  1.94188 -1.77091  1.49702 -1.13613  0.70921 -0.24107 -0.24107  0.70921 -1.13613  1.49702 -1.77091  1.94188 -2.00000  1.94188 -1.77091  1.49702 -1.13613  0.70921 -0.24107 -0.24107  0.70921 -1.13613  1.49702 -1.77091  1.94188 -2.00000     ... ... ..... ....... ......... ........... .............
E37u *  2.00000 -1.97410  1.89707 -1.77091  1.59889 -1.38545  1.13613 -0.85739  0.55643 -0.24107 -0.08053  0.40005 -0.70921  1.00000 -1.26489  1.49702 -1.69038  1.83996 -1.94188  1.99351 -1.99351  1.94188 -1.83996  1.69038 -1.49702  1.26489 -1.00000  0.70921 -0.40005  0.08053  0.24107 -0.55643  0.85739 -1.13613  1.38545 -1.59889  1.77091 -1.89707  1.97410 -2.00000 -2.00000 -1.97410  1.89707 -1.77091  1.59889 -1.38545  1.13613 -0.85739  0.55643 -0.24107 -0.08053  0.40005 -0.70921  1.00000 -1.26489  1.49702 -1.69038  1.83996 -1.94188  1.99351 -1.99351  1.94188 -1.83996  1.69038 -1.49702  1.26489 -1.00000  0.70921 -0.40005  0.08053  0.24107 -0.55643  0.85739 -1.13613  1.38545 -1.59889  1.77091 -1.89707  1.97410  2.00000     ... ... ..... ....... ......... ........... .............
E38u *  2.00000 -1.99351  1.97410 -1.94188  1.89707 -1.83996  1.77091 -1.69038  1.59889 -1.49702  1.38545 -1.26489  1.13613 -1.00000  0.85739 -0.70921  0.55643 -0.40005  0.24107 -0.08053 -0.08053  0.24107 -0.40005  0.55643 -0.70921  0.85739 -1.00000  1.13613 -1.26489  1.38545 -1.49702  1.59889 -1.69038  1.77091 -1.83996  1.89707 -1.94188  1.97410 -1.99351  2.00000 -2.00000  1.99351 -1.97410  1.94188 -1.89707  1.83996 -1.77091  1.69038 -1.59889  1.49702 -1.38545  1.26489 -1.13613  1.00000 -0.85739  0.70921 -0.55643  0.40005 -0.24107  0.08053  0.08053 -0.24107  0.40005 -0.55643  0.70921 -0.85739  1.00000 -1.13613  1.26489 -1.38545  1.49702 -1.59889  1.69038 -1.77091  1.83996 -1.89707  1.94188 -1.97410  1.99351 -2.00000     ... ... ..... ....... ......... ........... .............

 Irrational character values:  1.993514616268 = 2*cos(2*π/78) = 2*cos(π/39)
                               1.974100525276 = 2*cos(4*π/78) = 2*cos(2*π/39)
                               1.941883634852 = 2*cos(6*π/78) = 2*cos(π/13)
                               1.897072883894 = 2*cos(8*π/78) = 2*cos(4*π/39)
                               1.839958887318 = 2*cos(10*π/78) = 2*cos(5*π/39)
                               1.770912051306 = 2*cos(12*π/78) = 2*cos(2*π/13)
                               1.690380171088 = 2*cos(14*π/78) = 2*cos(7*π/39)
                               1.598885526807 = 2*cos(16*π/78) = 2*cos(8*π/39)
                               1.497021496342 = 2*cos(18*π/78) = 2*cos(3*π/13)
                               1.385448707019 = 2*cos(20*π/78) = 2*cos(10*π/39)
                               1.264890751191 = 2*cos(22*π/78) = 2*cos(11*π/39)
                               1.136129493462 = 2*cos(24*π/78) = 2*cos(4*π/13)
                               0.857385122806 = 2*cos(28*π/78) = 2*cos(14*π/39)
                               0.709209774085 = 2*cos(30*π/78) = 2*cos(5*π/13)
                               0.556434927833 = 2*cos(32*π/78) = 2*cos(16*π/39)
                               0.400051387552 = 2*cos(34*π/78) = 2*cos(17*π/39)
                               0.241073360511 = 2*cos(36*π/78) = 2*cos(6*π/13)
                               0.080531880219 = 2*cos(38*π/78) = 2*cos(19*π/39)



 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 C78h point group is 156, and the order of the principal axis (C78) is 78. The group has 80 irreducible representations.

    β  The C78h point group is generated by two symmetry elements, which are canonically chosen as C78 and i.
       Other possible choices are C78 and σh, or less commonly S78 with either C2 or σh.

    γ  The lowest nonvanishing multipole moment in C78h is 4 (quadrupole moment).

    δ  This is an Abelian point group (the commutative law holds between all symmetry operations).
       The C78h 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 152 cases have been combined into 76 two-dimensional representations that are no longer irreducible but have real-valued characters.
       Accordingly, 76 pairs of left and right rotations have been combined into one two-membered pseudo-class each.

    ζ  The 76 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.

    θ  The point group corresponds to a polygon inconstructible by the classical means of ruler and compass. Yet it becomes constructible
       if angle trisection is allowed, e.g., with neusis construction or origami. This is because the order of the principal axis is given
       by a product of any number of different Pierpont primes (...,5,7,13,17,19,37,73,97,109,163,...) times arbitrary powers of two and three.
       All characters of this group can be expressed using complex numbers, elementary arithmetic operations, square roots and third roots.

This Character Table for the C78h point group was created by Gernot Katzer.

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