Character Table for Point Group D78h

Character table for the D_78h point group

D78h 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 39 C2' 39 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 39 sv 39 sd <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> A1g 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 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 A2g 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 -1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 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 ... ..... ....... ......... ........... ............. B1g 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 -1.00000 -1.00000 1.00000 ... ... ..... ....... ......... ........... ............. B2g 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 -1.00000 1.00000 1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -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 0.00000 0.00000 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 0.00000 0.00000 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 0.00000 0.00000 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 0.00000 0.00000 ... ... 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ..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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ..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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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B2u 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 -1.00000 1.00000 -1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 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 0.00000 0.00000 -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 0.00000 0.00000 ... TT. ..... ....TT. ......... ........TT. ............. 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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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ..TT....... ............. 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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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 0.00000 0.00000 -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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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 A1g d+g+i+k+m z², z⁴, z⁶ A2g R R_z E1g R+d+g+i+k+m {R_x, R_y}, {xz, yz}, {xz³, yz³}, {xz⁵, yz⁵} E2g d+g+i+k+m {x²−y², xy}, {z²(x²−y²), xyz²}, {z⁴(x²−y²), xyz⁴} E3g g+i+k+m {xz(x²−3y²), yz(3x²−y²)}, {xz³(x²−3y²), yz³(3x²−y²)} E4g g+i+k+m {(x²−y²)²−4x²y², xy(x²−y²)}, {z²((x²−y²)²−4x²y²), xyz²(x²−y²)} E5g i+k+m {xz(x²−(5+2√5)y²)(x²−(5−2√5)y²), yz((5+2√5)x²−y²)((5−2√5)x²−y²)} E6g i+k+m {x²(x²−3y²)²−y²(3x²−y²)², xy(x²−3y²)(3x²−y²)} E7g k+m E8g k+m E9g m E10g m A2u 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(x²−y²), xyz}, {z³(x²−y²), xyz³} E3u f+h+j+l {x(x²−3y²), y(3x²−y²)}, {xz²(x²−3y²), yz²(3x²−y²)} E4u h+j+l {z((x²−y²)²−4x²y²), xyz(x²−y²)} E5u h+j+l {x(x²−(5+2√5)y²)(x²−(5−2√5)y²), y((5+2√5)x²−y²)((5−2√5)x²−y²)} E6u j+l E7u j+l E8u l E9u l Notes: α The order of the D_78h point group is 312, and the order of the principal axis (C₇₈) is 78. The group has 84 irreducible representations. β The D_78h point group is generated by three symmetry elements that are canonically chosen C₇₈, C₂^′ and i. Other choices include σ_h instead of i, or any of C₂^″, σ_v or σ_d instead of C₂^′. Also, some ternary combinations of C₂^′, C₂^″, σ_v and σ_d act as generators. Lastly, the S₇₈ can be chosen, together with σ_h or C₂ and any one of C₂^′, C₂^″, σ_v or σ_d. γ There are two different sets of twofold symmetry axes perpendicular to the principal axis (z axis in standard orientation). By convention, the set denoted as C₂^′ has the x axis as a member, while the y axis is a member of the C₂^″ set. δ There are two different sets of symmetry planes containing the principal axis (z axis in standard orientation). By convention, the set denoted as σ_v has the xz plane as a member, while the yz plane is a member of the σ_d set. ε The lowest nonvanishing multipole moment in D_78h is 4 (quadrupole moment). ζ This point group is non-Abelian (some symmetry operations are not commutative). Therefore, the character table contains multi-membered classes and degenerate irreducible representations. 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 D_78h point group was created by Gernot Katzer.

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

	D_76h
	D_77h
C₇₈ C_78v C_78h D₇₈	D_78h	D_78d S₇₈
	D_79h
	D_80h

Character table for the D78h point group

Character table for the D_78h point group