Character Table for Point Group D62h

Character table for the D_62h point group

D62h E 2 C62 2 C31 2 C62^3 2 C31^2 2 C62^5 2 C31^3 2 C62^7 2 C31^4 2 C62^9 2 C31^5 2 C62^11 2 C31^6 2 C62^13 2 C31^7 2 C62^15 2 C31^8 2 C62^17 2 C31^9 2 C62^19 2 C31^10 2 C62^21 2 C31^11 2 C62^23 2 C31^12 2 C62^25 2 C31^13 2 C62^27 2 C31^14 2 C62^29 2 C31^15 C2 31 C2' 31 C2" i 2 S62 2 S31 2 S62^3 2 S31^2 2 S62^5 2 S31^3 2 S62^7 2 S31^4 2 S62^9 2 S31^5 2 S62^11 2 S31^6 2 S62^13 2 S31^7 2 S62^15 2 S31^8 2 S62^17 2 S31^9 2 S62^19 2 S31^10 2 S62^21 2 S31^11 2 S62^23 2 S31^12 2 S62^25 2 S31^13 2 S62^27 2 S31^14 2 S62^29 2 S31^15 sh 31 sv 31 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 ... ... ....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 ..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 ... ... ..... ....... ......... ........... ............. 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 ... ... ..... ....... ......... ........... ............. E1g 2.00000 1.98974 1.95906 1.90828 1.83792 1.74869 1.64153 1.51752 1.37793 1.22421 1.05793 0.88079 0.69461 0.50131 0.30286 0.10130 -0.10130 -0.30286 -0.50131 -0.69461 -0.88079 -1.05793 -1.22421 -1.37793 -1.51752 -1.64153 -1.74869 -1.83792 -1.90828 -1.95906 -1.98974 -2.00000 0.00000 0.00000 2.00000 -1.98974 -1.95906 -1.90828 -1.83792 -1.74869 -1.64153 -1.51752 -1.37793 -1.22421 -1.05793 -0.88079 -0.69461 -0.50131 -0.30286 -0.10130 0.10130 0.30286 0.50131 0.69461 0.88079 1.05793 1.22421 1.37793 1.51752 1.64153 1.74869 1.83792 1.90828 1.95906 1.98974 -2.00000 0.00000 0.00000 TT. ... ..TT. ....... ......TT. ........... ..........TT. E2g 2.00000 1.95906 1.83792 1.64153 1.37793 1.05793 0.69461 0.30286 -0.10130 -0.50131 -0.88079 -1.22421 -1.51752 -1.74869 -1.90828 -1.98974 -1.98974 -1.90828 -1.74869 -1.51752 -1.22421 -0.88079 -0.50131 -0.10130 0.30286 0.69461 1.05793 1.37793 1.64153 1.83792 1.95906 2.00000 0.00000 0.00000 2.00000 1.95906 1.83792 1.64153 1.37793 1.05793 0.69461 0.30286 -0.10130 -0.50131 -0.88079 -1.22421 -1.51752 -1.74869 -1.90828 -1.98974 -1.98974 -1.90828 -1.74869 -1.51752 -1.22421 -0.88079 -0.50131 -0.10130 0.30286 0.69461 1.05793 1.37793 1.64153 1.83792 1.95906 2.00000 0.00000 0.00000 ... ... TT... ....... ....TT... ........... ........TT... E3g 2.00000 1.90828 1.64153 1.22421 0.69461 0.10130 -0.50131 -1.05793 -1.51752 -1.83792 -1.98974 -1.95906 -1.74869 -1.37793 -0.88079 -0.30286 0.30286 0.88079 1.37793 1.74869 1.95906 1.98974 1.83792 1.51752 1.05793 0.50131 -0.10130 -0.69461 -1.22421 -1.64153 -1.90828 -2.00000 0.00000 0.00000 2.00000 -1.90828 -1.64153 -1.22421 -0.69461 -0.10130 0.50131 1.05793 1.51752 1.83792 1.98974 1.95906 1.74869 1.37793 0.88079 0.30286 -0.30286 -0.88079 -1.37793 -1.74869 -1.95906 -1.98974 -1.83792 -1.51752 -1.05793 -0.50131 0.10130 0.69461 1.22421 1.64153 1.90828 -2.00000 0.00000 0.00000 ... ... ..... ....... ..TT..... ........... ......TT..... E4g 2.00000 1.83792 1.37793 0.69461 -0.10130 -0.88079 -1.51752 -1.90828 -1.98974 -1.74869 -1.22421 -0.50131 0.30286 1.05793 1.64153 1.95906 1.95906 1.64153 1.05793 0.30286 -0.50131 -1.22421 -1.74869 -1.98974 -1.90828 -1.51752 -0.88079 -0.10130 0.69461 1.37793 1.83792 2.00000 0.00000 0.00000 2.00000 1.83792 1.37793 0.69461 -0.10130 -0.88079 -1.51752 -1.90828 -1.98974 -1.74869 -1.22421 -0.50131 0.30286 1.05793 1.64153 1.95906 1.95906 1.64153 1.05793 0.30286 -0.50131 -1.22421 -1.74869 -1.98974 -1.90828 -1.51752 -0.88079 -0.10130 0.69461 1.37793 1.83792 2.00000 0.00000 0.00000 ... ... ..... ....... TT....... ........... ....TT....... E5g 2.00000 1.74869 1.05793 0.10130 -0.88079 -1.64153 -1.98974 -1.83792 -1.22421 -0.30286 0.69461 1.51752 1.95906 1.90828 1.37793 0.50131 -0.50131 -1.37793 -1.90828 -1.95906 -1.51752 -0.69461 0.30286 1.22421 1.83792 1.98974 1.64153 0.88079 -0.10130 -1.05793 -1.74869 -2.00000 0.00000 0.00000 2.00000 -1.74869 -1.05793 -0.10130 0.88079 1.64153 1.98974 1.83792 1.22421 0.30286 -0.69461 -1.51752 -1.95906 -1.90828 -1.37793 -0.50131 0.50131 1.37793 1.90828 1.95906 1.51752 0.69461 -0.30286 -1.22421 -1.83792 -1.98974 -1.64153 -0.88079 0.10130 1.05793 1.74869 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ..TT......... E6g 2.00000 1.64153 0.69461 -0.50131 -1.51752 -1.98974 -1.74869 -0.88079 0.30286 1.37793 1.95906 1.83792 1.05793 -0.10130 -1.22421 -1.90828 -1.90828 -1.22421 -0.10130 1.05793 1.83792 1.95906 1.37793 0.30286 -0.88079 -1.74869 -1.98974 -1.51752 -0.50131 0.69461 1.64153 2.00000 0.00000 0.00000 2.00000 1.64153 0.69461 -0.50131 -1.51752 -1.98974 -1.74869 -0.88079 0.30286 1.37793 1.95906 1.83792 1.05793 -0.10130 -1.22421 -1.90828 -1.90828 -1.22421 -0.10130 1.05793 1.83792 1.95906 1.37793 0.30286 -0.88079 -1.74869 -1.98974 -1.51752 -0.50131 0.69461 1.64153 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... TT........... E7g 2.00000 1.51752 0.30286 -1.05793 -1.90828 -1.83792 -0.88079 0.50131 1.64153 1.98974 1.37793 0.10130 -1.22421 -1.95906 -1.74869 -0.69461 0.69461 1.74869 1.95906 1.22421 -0.10130 -1.37793 -1.98974 -1.64153 -0.50131 0.88079 1.83792 1.90828 1.05793 -0.30286 -1.51752 -2.00000 0.00000 0.00000 2.00000 -1.51752 -0.30286 1.05793 1.90828 1.83792 0.88079 -0.50131 -1.64153 -1.98974 -1.37793 -0.10130 1.22421 1.95906 1.74869 0.69461 -0.69461 -1.74869 -1.95906 -1.22421 0.10130 1.37793 1.98974 1.64153 0.50131 -0.88079 -1.83792 -1.90828 -1.05793 0.30286 1.51752 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E8g 2.00000 1.37793 -0.10130 -1.51752 -1.98974 -1.22421 0.30286 1.64153 1.95906 1.05793 -0.50131 -1.74869 -1.90828 -0.88079 0.69461 1.83792 1.83792 0.69461 -0.88079 -1.90828 -1.74869 -0.50131 1.05793 1.95906 1.64153 0.30286 -1.22421 -1.98974 -1.51752 -0.10130 1.37793 2.00000 0.00000 0.00000 2.00000 1.37793 -0.10130 -1.51752 -1.98974 -1.22421 0.30286 1.64153 1.95906 1.05793 -0.50131 -1.74869 -1.90828 -0.88079 0.69461 1.83792 1.83792 0.69461 -0.88079 -1.90828 -1.74869 -0.50131 1.05793 1.95906 1.64153 0.30286 -1.22421 -1.98974 -1.51752 -0.10130 1.37793 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E9g 2.00000 1.22421 -0.50131 -1.83792 -1.74869 -0.30286 1.37793 1.98974 1.05793 -0.69461 -1.90828 -1.64153 -0.10130 1.51752 1.95906 0.88079 -0.88079 -1.95906 -1.51752 0.10130 1.64153 1.90828 0.69461 -1.05793 -1.98974 -1.37793 0.30286 1.74869 1.83792 0.50131 -1.22421 -2.00000 0.00000 0.00000 2.00000 -1.22421 0.50131 1.83792 1.74869 0.30286 -1.37793 -1.98974 -1.05793 0.69461 1.90828 1.64153 0.10130 -1.51752 -1.95906 -0.88079 0.88079 1.95906 1.51752 -0.10130 -1.64153 -1.90828 -0.69461 1.05793 1.98974 1.37793 -0.30286 -1.74869 -1.83792 -0.50131 1.22421 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E10g 2.00000 1.05793 -0.88079 -1.98974 -1.22421 0.69461 1.95906 1.37793 -0.50131 -1.90828 -1.51752 0.30286 1.83792 1.64153 -0.10130 -1.74869 -1.74869 -0.10130 1.64153 1.83792 0.30286 -1.51752 -1.90828 -0.50131 1.37793 1.95906 0.69461 -1.22421 -1.98974 -0.88079 1.05793 2.00000 0.00000 0.00000 2.00000 1.05793 -0.88079 -1.98974 -1.22421 0.69461 1.95906 1.37793 -0.50131 -1.90828 -1.51752 0.30286 1.83792 1.64153 -0.10130 -1.74869 -1.74869 -0.10130 1.64153 1.83792 0.30286 -1.51752 -1.90828 -0.50131 1.37793 1.95906 0.69461 -1.22421 -1.98974 -0.88079 1.05793 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E11g 2.00000 0.88079 -1.22421 -1.95906 -0.50131 1.51752 1.83792 0.10130 -1.74869 -1.64153 0.30286 1.90828 1.37793 -0.69461 -1.98974 -1.05793 1.05793 1.98974 0.69461 -1.37793 -1.90828 -0.30286 1.64153 1.74869 -0.10130 -1.83792 -1.51752 0.50131 1.95906 1.22421 -0.88079 -2.00000 0.00000 0.00000 2.00000 -0.88079 1.22421 1.95906 0.50131 -1.51752 -1.83792 -0.10130 1.74869 1.64153 -0.30286 -1.90828 -1.37793 0.69461 1.98974 1.05793 -1.05793 -1.98974 -0.69461 1.37793 1.90828 0.30286 -1.64153 -1.74869 0.10130 1.83792 1.51752 -0.50131 -1.95906 -1.22421 0.88079 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E12g 2.00000 0.69461 -1.51752 -1.74869 0.30286 1.95906 1.05793 -1.22421 -1.90828 -0.10130 1.83792 1.37793 -0.88079 -1.98974 -0.50131 1.64153 1.64153 -0.50131 -1.98974 -0.88079 1.37793 1.83792 -0.10130 -1.90828 -1.22421 1.05793 1.95906 0.30286 -1.74869 -1.51752 0.69461 2.00000 0.00000 0.00000 2.00000 0.69461 -1.51752 -1.74869 0.30286 1.95906 1.05793 -1.22421 -1.90828 -0.10130 1.83792 1.37793 -0.88079 -1.98974 -0.50131 1.64153 1.64153 -0.50131 -1.98974 -0.88079 1.37793 1.83792 -0.10130 -1.90828 -1.22421 1.05793 1.95906 0.30286 -1.74869 -1.51752 0.69461 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E13g 2.00000 0.50131 -1.74869 -1.37793 1.05793 1.90828 -0.10130 -1.95906 -0.88079 1.51752 1.64153 -0.69461 -1.98974 -0.30286 1.83792 1.22421 -1.22421 -1.83792 0.30286 1.98974 0.69461 -1.64153 -1.51752 0.88079 1.95906 0.10130 -1.90828 -1.05793 1.37793 1.74869 -0.50131 -2.00000 0.00000 0.00000 2.00000 -0.50131 1.74869 1.37793 -1.05793 -1.90828 0.10130 1.95906 0.88079 -1.51752 -1.64153 0.69461 1.98974 0.30286 -1.83792 -1.22421 1.22421 1.83792 -0.30286 -1.98974 -0.69461 1.64153 1.51752 -0.88079 -1.95906 -0.10130 1.90828 1.05793 -1.37793 -1.74869 0.50131 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E14g 2.00000 0.30286 -1.90828 -0.88079 1.64153 1.37793 -1.22421 -1.74869 0.69461 1.95906 -0.10130 -1.98974 -0.50131 1.83792 1.05793 -1.51752 -1.51752 1.05793 1.83792 -0.50131 -1.98974 -0.10130 1.95906 0.69461 -1.74869 -1.22421 1.37793 1.64153 -0.88079 -1.90828 0.30286 2.00000 0.00000 0.00000 2.00000 0.30286 -1.90828 -0.88079 1.64153 1.37793 -1.22421 -1.74869 0.69461 1.95906 -0.10130 -1.98974 -0.50131 1.83792 1.05793 -1.51752 -1.51752 1.05793 1.83792 -0.50131 -1.98974 -0.10130 1.95906 0.69461 -1.74869 -1.22421 1.37793 1.64153 -0.88079 -1.90828 0.30286 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E15g 2.00000 0.10130 -1.98974 -0.30286 1.95906 0.50131 -1.90828 -0.69461 1.83792 0.88079 -1.74869 -1.05793 1.64153 1.22421 -1.51752 -1.37793 1.37793 1.51752 -1.22421 -1.64153 1.05793 1.74869 -0.88079 -1.83792 0.69461 1.90828 -0.50131 -1.95906 0.30286 1.98974 -0.10130 -2.00000 0.00000 0.00000 2.00000 -0.10130 1.98974 0.30286 -1.95906 -0.50131 1.90828 0.69461 -1.83792 -0.88079 1.74869 1.05793 -1.64153 -1.22421 1.51752 1.37793 -1.37793 -1.51752 1.22421 1.64153 -1.05793 -1.74869 0.88079 1.83792 -0.69461 -1.90828 0.50131 1.95906 -0.30286 -1.98974 0.10130 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E16g 2.00000 -0.10130 -1.98974 0.30286 1.95906 -0.50131 -1.90828 0.69461 1.83792 -0.88079 -1.74869 1.05793 1.64153 -1.22421 -1.51752 1.37793 1.37793 -1.51752 -1.22421 1.64153 1.05793 -1.74869 -0.88079 1.83792 0.69461 -1.90828 -0.50131 1.95906 0.30286 -1.98974 -0.10130 2.00000 0.00000 0.00000 2.00000 -0.10130 -1.98974 0.30286 1.95906 -0.50131 -1.90828 0.69461 1.83792 -0.88079 -1.74869 1.05793 1.64153 -1.22421 -1.51752 1.37793 1.37793 -1.51752 -1.22421 1.64153 1.05793 -1.74869 -0.88079 1.83792 0.69461 -1.90828 -0.50131 1.95906 0.30286 -1.98974 -0.10130 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E17g 2.00000 -0.30286 -1.90828 0.88079 1.64153 -1.37793 -1.22421 1.74869 0.69461 -1.95906 -0.10130 1.98974 -0.50131 -1.83792 1.05793 1.51752 -1.51752 -1.05793 1.83792 0.50131 -1.98974 0.10130 1.95906 -0.69461 -1.74869 1.22421 1.37793 -1.64153 -0.88079 1.90828 0.30286 -2.00000 0.00000 0.00000 2.00000 0.30286 1.90828 -0.88079 -1.64153 1.37793 1.22421 -1.74869 -0.69461 1.95906 0.10130 -1.98974 0.50131 1.83792 -1.05793 -1.51752 1.51752 1.05793 -1.83792 -0.50131 1.98974 -0.10130 -1.95906 0.69461 1.74869 -1.22421 -1.37793 1.64153 0.88079 -1.90828 -0.30286 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E18g 2.00000 -0.50131 -1.74869 1.37793 1.05793 -1.90828 -0.10130 1.95906 -0.88079 -1.51752 1.64153 0.69461 -1.98974 0.30286 1.83792 -1.22421 -1.22421 1.83792 0.30286 -1.98974 0.69461 1.64153 -1.51752 -0.88079 1.95906 -0.10130 -1.90828 1.05793 1.37793 -1.74869 -0.50131 2.00000 0.00000 0.00000 2.00000 -0.50131 -1.74869 1.37793 1.05793 -1.90828 -0.10130 1.95906 -0.88079 -1.51752 1.64153 0.69461 -1.98974 0.30286 1.83792 -1.22421 -1.22421 1.83792 0.30286 -1.98974 0.69461 1.64153 -1.51752 -0.88079 1.95906 -0.10130 -1.90828 1.05793 1.37793 -1.74869 -0.50131 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E19g 2.00000 -0.69461 -1.51752 1.74869 0.30286 -1.95906 1.05793 1.22421 -1.90828 0.10130 1.83792 -1.37793 -0.88079 1.98974 -0.50131 -1.64153 1.64153 0.50131 -1.98974 0.88079 1.37793 -1.83792 -0.10130 1.90828 -1.22421 -1.05793 1.95906 -0.30286 -1.74869 1.51752 0.69461 -2.00000 0.00000 0.00000 2.00000 0.69461 1.51752 -1.74869 -0.30286 1.95906 -1.05793 -1.22421 1.90828 -0.10130 -1.83792 1.37793 0.88079 -1.98974 0.50131 1.64153 -1.64153 -0.50131 1.98974 -0.88079 -1.37793 1.83792 0.10130 -1.90828 1.22421 1.05793 -1.95906 0.30286 1.74869 -1.51752 -0.69461 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E20g 2.00000 -0.88079 -1.22421 1.95906 -0.50131 -1.51752 1.83792 -0.10130 -1.74869 1.64153 0.30286 -1.90828 1.37793 0.69461 -1.98974 1.05793 1.05793 -1.98974 0.69461 1.37793 -1.90828 0.30286 1.64153 -1.74869 -0.10130 1.83792 -1.51752 -0.50131 1.95906 -1.22421 -0.88079 2.00000 0.00000 0.00000 2.00000 -0.88079 -1.22421 1.95906 -0.50131 -1.51752 1.83792 -0.10130 -1.74869 1.64153 0.30286 -1.90828 1.37793 0.69461 -1.98974 1.05793 1.05793 -1.98974 0.69461 1.37793 -1.90828 0.30286 1.64153 -1.74869 -0.10130 1.83792 -1.51752 -0.50131 1.95906 -1.22421 -0.88079 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E21g 2.00000 -1.05793 -0.88079 1.98974 -1.22421 -0.69461 1.95906 -1.37793 -0.50131 1.90828 -1.51752 -0.30286 1.83792 -1.64153 -0.10130 1.74869 -1.74869 0.10130 1.64153 -1.83792 0.30286 1.51752 -1.90828 0.50131 1.37793 -1.95906 0.69461 1.22421 -1.98974 0.88079 1.05793 -2.00000 0.00000 0.00000 2.00000 1.05793 0.88079 -1.98974 1.22421 0.69461 -1.95906 1.37793 0.50131 -1.90828 1.51752 0.30286 -1.83792 1.64153 0.10130 -1.74869 1.74869 -0.10130 -1.64153 1.83792 -0.30286 -1.51752 1.90828 -0.50131 -1.37793 1.95906 -0.69461 -1.22421 1.98974 -0.88079 -1.05793 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E22g 2.00000 -1.22421 -0.50131 1.83792 -1.74869 0.30286 1.37793 -1.98974 1.05793 0.69461 -1.90828 1.64153 -0.10130 -1.51752 1.95906 -0.88079 -0.88079 1.95906 -1.51752 -0.10130 1.64153 -1.90828 0.69461 1.05793 -1.98974 1.37793 0.30286 -1.74869 1.83792 -0.50131 -1.22421 2.00000 0.00000 0.00000 2.00000 -1.22421 -0.50131 1.83792 -1.74869 0.30286 1.37793 -1.98974 1.05793 0.69461 -1.90828 1.64153 -0.10130 -1.51752 1.95906 -0.88079 -0.88079 1.95906 -1.51752 -0.10130 1.64153 -1.90828 0.69461 1.05793 -1.98974 1.37793 0.30286 -1.74869 1.83792 -0.50131 -1.22421 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E23g 2.00000 -1.37793 -0.10130 1.51752 -1.98974 1.22421 0.30286 -1.64153 1.95906 -1.05793 -0.50131 1.74869 -1.90828 0.88079 0.69461 -1.83792 1.83792 -0.69461 -0.88079 1.90828 -1.74869 0.50131 1.05793 -1.95906 1.64153 -0.30286 -1.22421 1.98974 -1.51752 0.10130 1.37793 -2.00000 0.00000 0.00000 2.00000 1.37793 0.10130 -1.51752 1.98974 -1.22421 -0.30286 1.64153 -1.95906 1.05793 0.50131 -1.74869 1.90828 -0.88079 -0.69461 1.83792 -1.83792 0.69461 0.88079 -1.90828 1.74869 -0.50131 -1.05793 1.95906 -1.64153 0.30286 1.22421 -1.98974 1.51752 -0.10130 -1.37793 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E24g 2.00000 -1.51752 0.30286 1.05793 -1.90828 1.83792 -0.88079 -0.50131 1.64153 -1.98974 1.37793 -0.10130 -1.22421 1.95906 -1.74869 0.69461 0.69461 -1.74869 1.95906 -1.22421 -0.10130 1.37793 -1.98974 1.64153 -0.50131 -0.88079 1.83792 -1.90828 1.05793 0.30286 -1.51752 2.00000 0.00000 0.00000 2.00000 -1.51752 0.30286 1.05793 -1.90828 1.83792 -0.88079 -0.50131 1.64153 -1.98974 1.37793 -0.10130 -1.22421 1.95906 -1.74869 0.69461 0.69461 -1.74869 1.95906 -1.22421 -0.10130 1.37793 -1.98974 1.64153 -0.50131 -0.88079 1.83792 -1.90828 1.05793 0.30286 -1.51752 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E25g 2.00000 -1.64153 0.69461 0.50131 -1.51752 1.98974 -1.74869 0.88079 0.30286 -1.37793 1.95906 -1.83792 1.05793 0.10130 -1.22421 1.90828 -1.90828 1.22421 -0.10130 -1.05793 1.83792 -1.95906 1.37793 -0.30286 -0.88079 1.74869 -1.98974 1.51752 -0.50131 -0.69461 1.64153 -2.00000 0.00000 0.00000 2.00000 1.64153 -0.69461 -0.50131 1.51752 -1.98974 1.74869 -0.88079 -0.30286 1.37793 -1.95906 1.83792 -1.05793 -0.10130 1.22421 -1.90828 1.90828 -1.22421 0.10130 1.05793 -1.83792 1.95906 -1.37793 0.30286 0.88079 -1.74869 1.98974 -1.51752 0.50131 0.69461 -1.64153 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E26g 2.00000 -1.74869 1.05793 -0.10130 -0.88079 1.64153 -1.98974 1.83792 -1.22421 0.30286 0.69461 -1.51752 1.95906 -1.90828 1.37793 -0.50131 -0.50131 1.37793 -1.90828 1.95906 -1.51752 0.69461 0.30286 -1.22421 1.83792 -1.98974 1.64153 -0.88079 -0.10130 1.05793 -1.74869 2.00000 0.00000 0.00000 2.00000 -1.74869 1.05793 -0.10130 -0.88079 1.64153 -1.98974 1.83792 -1.22421 0.30286 0.69461 -1.51752 1.95906 -1.90828 1.37793 -0.50131 -0.50131 1.37793 -1.90828 1.95906 -1.51752 0.69461 0.30286 -1.22421 1.83792 -1.98974 1.64153 -0.88079 -0.10130 1.05793 -1.74869 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E27g 2.00000 -1.83792 1.37793 -0.69461 -0.10130 0.88079 -1.51752 1.90828 -1.98974 1.74869 -1.22421 0.50131 0.30286 -1.05793 1.64153 -1.95906 1.95906 -1.64153 1.05793 -0.30286 -0.50131 1.22421 -1.74869 1.98974 -1.90828 1.51752 -0.88079 0.10130 0.69461 -1.37793 1.83792 -2.00000 0.00000 0.00000 2.00000 1.83792 -1.37793 0.69461 0.10130 -0.88079 1.51752 -1.90828 1.98974 -1.74869 1.22421 -0.50131 -0.30286 1.05793 -1.64153 1.95906 -1.95906 1.64153 -1.05793 0.30286 0.50131 -1.22421 1.74869 -1.98974 1.90828 -1.51752 0.88079 -0.10130 -0.69461 1.37793 -1.83792 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E28g 2.00000 -1.90828 1.64153 -1.22421 0.69461 -0.10130 -0.50131 1.05793 -1.51752 1.83792 -1.98974 1.95906 -1.74869 1.37793 -0.88079 0.30286 0.30286 -0.88079 1.37793 -1.74869 1.95906 -1.98974 1.83792 -1.51752 1.05793 -0.50131 -0.10130 0.69461 -1.22421 1.64153 -1.90828 2.00000 0.00000 0.00000 2.00000 -1.90828 1.64153 -1.22421 0.69461 -0.10130 -0.50131 1.05793 -1.51752 1.83792 -1.98974 1.95906 -1.74869 1.37793 -0.88079 0.30286 0.30286 -0.88079 1.37793 -1.74869 1.95906 -1.98974 1.83792 -1.51752 1.05793 -0.50131 -0.10130 0.69461 -1.22421 1.64153 -1.90828 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E29g 2.00000 -1.95906 1.83792 -1.64153 1.37793 -1.05793 0.69461 -0.30286 -0.10130 0.50131 -0.88079 1.22421 -1.51752 1.74869 -1.90828 1.98974 -1.98974 1.90828 -1.74869 1.51752 -1.22421 0.88079 -0.50131 0.10130 0.30286 -0.69461 1.05793 -1.37793 1.64153 -1.83792 1.95906 -2.00000 0.00000 0.00000 2.00000 1.95906 -1.83792 1.64153 -1.37793 1.05793 -0.69461 0.30286 0.10130 -0.50131 0.88079 -1.22421 1.51752 -1.74869 1.90828 -1.98974 1.98974 -1.90828 1.74869 -1.51752 1.22421 -0.88079 0.50131 -0.10130 -0.30286 0.69461 -1.05793 1.37793 -1.64153 1.83792 -1.95906 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E30g 2.00000 -1.98974 1.95906 -1.90828 1.83792 -1.74869 1.64153 -1.51752 1.37793 -1.22421 1.05793 -0.88079 0.69461 -0.50131 0.30286 -0.10130 -0.10130 0.30286 -0.50131 0.69461 -0.88079 1.05793 -1.22421 1.37793 -1.51752 1.64153 -1.74869 1.83792 -1.90828 1.95906 -1.98974 2.00000 0.00000 0.00000 2.00000 -1.98974 1.95906 -1.90828 1.83792 -1.74869 1.64153 -1.51752 1.37793 -1.22421 1.05793 -0.88079 0.69461 -0.50131 0.30286 -0.10130 -0.10130 0.30286 -0.50131 0.69461 -0.88079 1.05793 -1.22421 1.37793 -1.51752 1.64153 -1.74869 1.83792 -1.90828 1.95906 -1.98974 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. A1u 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 ... ... ..... ....... ......... ........... ............. A2u 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -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 ............. B1u 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 -1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 1.00000 1.00000 -1.00000 ... ... ..... ....... ......... ........... ............. 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 ... ... ..... ....... ......... ........... ............. E1u 2.00000 1.98974 1.95906 1.90828 1.83792 1.74869 1.64153 1.51752 1.37793 1.22421 1.05793 0.88079 0.69461 0.50131 0.30286 0.10130 -0.10130 -0.30286 -0.50131 -0.69461 -0.88079 -1.05793 -1.22421 -1.37793 -1.51752 -1.64153 -1.74869 -1.83792 -1.90828 -1.95906 -1.98974 -2.00000 0.00000 0.00000 -2.00000 1.98974 1.95906 1.90828 1.83792 1.74869 1.64153 1.51752 1.37793 1.22421 1.05793 0.88079 0.69461 0.50131 0.30286 0.10130 -0.10130 -0.30286 -0.50131 -0.69461 -0.88079 -1.05793 -1.22421 -1.37793 -1.51752 -1.64153 -1.74869 -1.83792 -1.90828 -1.95906 -1.98974 2.00000 0.00000 0.00000 ... TT. ..... ....TT. ......... ........TT. ............. E2u 2.00000 1.95906 1.83792 1.64153 1.37793 1.05793 0.69461 0.30286 -0.10130 -0.50131 -0.88079 -1.22421 -1.51752 -1.74869 -1.90828 -1.98974 -1.98974 -1.90828 -1.74869 -1.51752 -1.22421 -0.88079 -0.50131 -0.10130 0.30286 0.69461 1.05793 1.37793 1.64153 1.83792 1.95906 2.00000 0.00000 0.00000 -2.00000 -1.95906 -1.83792 -1.64153 -1.37793 -1.05793 -0.69461 -0.30286 0.10130 0.50131 0.88079 1.22421 1.51752 1.74869 1.90828 1.98974 1.98974 1.90828 1.74869 1.51752 1.22421 0.88079 0.50131 0.10130 -0.30286 -0.69461 -1.05793 -1.37793 -1.64153 -1.83792 -1.95906 -2.00000 0.00000 0.00000 ... ... ..... ..TT... ......... ......TT... ............. E3u 2.00000 1.90828 1.64153 1.22421 0.69461 0.10130 -0.50131 -1.05793 -1.51752 -1.83792 -1.98974 -1.95906 -1.74869 -1.37793 -0.88079 -0.30286 0.30286 0.88079 1.37793 1.74869 1.95906 1.98974 1.83792 1.51752 1.05793 0.50131 -0.10130 -0.69461 -1.22421 -1.64153 -1.90828 -2.00000 0.00000 0.00000 -2.00000 1.90828 1.64153 1.22421 0.69461 0.10130 -0.50131 -1.05793 -1.51752 -1.83792 -1.98974 -1.95906 -1.74869 -1.37793 -0.88079 -0.30286 0.30286 0.88079 1.37793 1.74869 1.95906 1.98974 1.83792 1.51752 1.05793 0.50131 -0.10130 -0.69461 -1.22421 -1.64153 -1.90828 2.00000 0.00000 0.00000 ... ... ..... TT..... ......... ....TT..... ............. E4u 2.00000 1.83792 1.37793 0.69461 -0.10130 -0.88079 -1.51752 -1.90828 -1.98974 -1.74869 -1.22421 -0.50131 0.30286 1.05793 1.64153 1.95906 1.95906 1.64153 1.05793 0.30286 -0.50131 -1.22421 -1.74869 -1.98974 -1.90828 -1.51752 -0.88079 -0.10130 0.69461 1.37793 1.83792 2.00000 0.00000 0.00000 -2.00000 -1.83792 -1.37793 -0.69461 0.10130 0.88079 1.51752 1.90828 1.98974 1.74869 1.22421 0.50131 -0.30286 -1.05793 -1.64153 -1.95906 -1.95906 -1.64153 -1.05793 -0.30286 0.50131 1.22421 1.74869 1.98974 1.90828 1.51752 0.88079 0.10130 -0.69461 -1.37793 -1.83792 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ..TT....... ............. E5u 2.00000 1.74869 1.05793 0.10130 -0.88079 -1.64153 -1.98974 -1.83792 -1.22421 -0.30286 0.69461 1.51752 1.95906 1.90828 1.37793 0.50131 -0.50131 -1.37793 -1.90828 -1.95906 -1.51752 -0.69461 0.30286 1.22421 1.83792 1.98974 1.64153 0.88079 -0.10130 -1.05793 -1.74869 -2.00000 0.00000 0.00000 -2.00000 1.74869 1.05793 0.10130 -0.88079 -1.64153 -1.98974 -1.83792 -1.22421 -0.30286 0.69461 1.51752 1.95906 1.90828 1.37793 0.50131 -0.50131 -1.37793 -1.90828 -1.95906 -1.51752 -0.69461 0.30286 1.22421 1.83792 1.98974 1.64153 0.88079 -0.10130 -1.05793 -1.74869 2.00000 0.00000 0.00000 ... ... ..... ....... ......... TT......... ............. E6u 2.00000 1.64153 0.69461 -0.50131 -1.51752 -1.98974 -1.74869 -0.88079 0.30286 1.37793 1.95906 1.83792 1.05793 -0.10130 -1.22421 -1.90828 -1.90828 -1.22421 -0.10130 1.05793 1.83792 1.95906 1.37793 0.30286 -0.88079 -1.74869 -1.98974 -1.51752 -0.50131 0.69461 1.64153 2.00000 0.00000 0.00000 -2.00000 -1.64153 -0.69461 0.50131 1.51752 1.98974 1.74869 0.88079 -0.30286 -1.37793 -1.95906 -1.83792 -1.05793 0.10130 1.22421 1.90828 1.90828 1.22421 0.10130 -1.05793 -1.83792 -1.95906 -1.37793 -0.30286 0.88079 1.74869 1.98974 1.51752 0.50131 -0.69461 -1.64153 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E7u 2.00000 1.51752 0.30286 -1.05793 -1.90828 -1.83792 -0.88079 0.50131 1.64153 1.98974 1.37793 0.10130 -1.22421 -1.95906 -1.74869 -0.69461 0.69461 1.74869 1.95906 1.22421 -0.10130 -1.37793 -1.98974 -1.64153 -0.50131 0.88079 1.83792 1.90828 1.05793 -0.30286 -1.51752 -2.00000 0.00000 0.00000 -2.00000 1.51752 0.30286 -1.05793 -1.90828 -1.83792 -0.88079 0.50131 1.64153 1.98974 1.37793 0.10130 -1.22421 -1.95906 -1.74869 -0.69461 0.69461 1.74869 1.95906 1.22421 -0.10130 -1.37793 -1.98974 -1.64153 -0.50131 0.88079 1.83792 1.90828 1.05793 -0.30286 -1.51752 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E8u 2.00000 1.37793 -0.10130 -1.51752 -1.98974 -1.22421 0.30286 1.64153 1.95906 1.05793 -0.50131 -1.74869 -1.90828 -0.88079 0.69461 1.83792 1.83792 0.69461 -0.88079 -1.90828 -1.74869 -0.50131 1.05793 1.95906 1.64153 0.30286 -1.22421 -1.98974 -1.51752 -0.10130 1.37793 2.00000 0.00000 0.00000 -2.00000 -1.37793 0.10130 1.51752 1.98974 1.22421 -0.30286 -1.64153 -1.95906 -1.05793 0.50131 1.74869 1.90828 0.88079 -0.69461 -1.83792 -1.83792 -0.69461 0.88079 1.90828 1.74869 0.50131 -1.05793 -1.95906 -1.64153 -0.30286 1.22421 1.98974 1.51752 0.10130 -1.37793 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E9u 2.00000 1.22421 -0.50131 -1.83792 -1.74869 -0.30286 1.37793 1.98974 1.05793 -0.69461 -1.90828 -1.64153 -0.10130 1.51752 1.95906 0.88079 -0.88079 -1.95906 -1.51752 0.10130 1.64153 1.90828 0.69461 -1.05793 -1.98974 -1.37793 0.30286 1.74869 1.83792 0.50131 -1.22421 -2.00000 0.00000 0.00000 -2.00000 1.22421 -0.50131 -1.83792 -1.74869 -0.30286 1.37793 1.98974 1.05793 -0.69461 -1.90828 -1.64153 -0.10130 1.51752 1.95906 0.88079 -0.88079 -1.95906 -1.51752 0.10130 1.64153 1.90828 0.69461 -1.05793 -1.98974 -1.37793 0.30286 1.74869 1.83792 0.50131 -1.22421 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E10u 2.00000 1.05793 -0.88079 -1.98974 -1.22421 0.69461 1.95906 1.37793 -0.50131 -1.90828 -1.51752 0.30286 1.83792 1.64153 -0.10130 -1.74869 -1.74869 -0.10130 1.64153 1.83792 0.30286 -1.51752 -1.90828 -0.50131 1.37793 1.95906 0.69461 -1.22421 -1.98974 -0.88079 1.05793 2.00000 0.00000 0.00000 -2.00000 -1.05793 0.88079 1.98974 1.22421 -0.69461 -1.95906 -1.37793 0.50131 1.90828 1.51752 -0.30286 -1.83792 -1.64153 0.10130 1.74869 1.74869 0.10130 -1.64153 -1.83792 -0.30286 1.51752 1.90828 0.50131 -1.37793 -1.95906 -0.69461 1.22421 1.98974 0.88079 -1.05793 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E11u 2.00000 0.88079 -1.22421 -1.95906 -0.50131 1.51752 1.83792 0.10130 -1.74869 -1.64153 0.30286 1.90828 1.37793 -0.69461 -1.98974 -1.05793 1.05793 1.98974 0.69461 -1.37793 -1.90828 -0.30286 1.64153 1.74869 -0.10130 -1.83792 -1.51752 0.50131 1.95906 1.22421 -0.88079 -2.00000 0.00000 0.00000 -2.00000 0.88079 -1.22421 -1.95906 -0.50131 1.51752 1.83792 0.10130 -1.74869 -1.64153 0.30286 1.90828 1.37793 -0.69461 -1.98974 -1.05793 1.05793 1.98974 0.69461 -1.37793 -1.90828 -0.30286 1.64153 1.74869 -0.10130 -1.83792 -1.51752 0.50131 1.95906 1.22421 -0.88079 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E12u 2.00000 0.69461 -1.51752 -1.74869 0.30286 1.95906 1.05793 -1.22421 -1.90828 -0.10130 1.83792 1.37793 -0.88079 -1.98974 -0.50131 1.64153 1.64153 -0.50131 -1.98974 -0.88079 1.37793 1.83792 -0.10130 -1.90828 -1.22421 1.05793 1.95906 0.30286 -1.74869 -1.51752 0.69461 2.00000 0.00000 0.00000 -2.00000 -0.69461 1.51752 1.74869 -0.30286 -1.95906 -1.05793 1.22421 1.90828 0.10130 -1.83792 -1.37793 0.88079 1.98974 0.50131 -1.64153 -1.64153 0.50131 1.98974 0.88079 -1.37793 -1.83792 0.10130 1.90828 1.22421 -1.05793 -1.95906 -0.30286 1.74869 1.51752 -0.69461 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E13u 2.00000 0.50131 -1.74869 -1.37793 1.05793 1.90828 -0.10130 -1.95906 -0.88079 1.51752 1.64153 -0.69461 -1.98974 -0.30286 1.83792 1.22421 -1.22421 -1.83792 0.30286 1.98974 0.69461 -1.64153 -1.51752 0.88079 1.95906 0.10130 -1.90828 -1.05793 1.37793 1.74869 -0.50131 -2.00000 0.00000 0.00000 -2.00000 0.50131 -1.74869 -1.37793 1.05793 1.90828 -0.10130 -1.95906 -0.88079 1.51752 1.64153 -0.69461 -1.98974 -0.30286 1.83792 1.22421 -1.22421 -1.83792 0.30286 1.98974 0.69461 -1.64153 -1.51752 0.88079 1.95906 0.10130 -1.90828 -1.05793 1.37793 1.74869 -0.50131 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E14u 2.00000 0.30286 -1.90828 -0.88079 1.64153 1.37793 -1.22421 -1.74869 0.69461 1.95906 -0.10130 -1.98974 -0.50131 1.83792 1.05793 -1.51752 -1.51752 1.05793 1.83792 -0.50131 -1.98974 -0.10130 1.95906 0.69461 -1.74869 -1.22421 1.37793 1.64153 -0.88079 -1.90828 0.30286 2.00000 0.00000 0.00000 -2.00000 -0.30286 1.90828 0.88079 -1.64153 -1.37793 1.22421 1.74869 -0.69461 -1.95906 0.10130 1.98974 0.50131 -1.83792 -1.05793 1.51752 1.51752 -1.05793 -1.83792 0.50131 1.98974 0.10130 -1.95906 -0.69461 1.74869 1.22421 -1.37793 -1.64153 0.88079 1.90828 -0.30286 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E15u 2.00000 0.10130 -1.98974 -0.30286 1.95906 0.50131 -1.90828 -0.69461 1.83792 0.88079 -1.74869 -1.05793 1.64153 1.22421 -1.51752 -1.37793 1.37793 1.51752 -1.22421 -1.64153 1.05793 1.74869 -0.88079 -1.83792 0.69461 1.90828 -0.50131 -1.95906 0.30286 1.98974 -0.10130 -2.00000 0.00000 0.00000 -2.00000 0.10130 -1.98974 -0.30286 1.95906 0.50131 -1.90828 -0.69461 1.83792 0.88079 -1.74869 -1.05793 1.64153 1.22421 -1.51752 -1.37793 1.37793 1.51752 -1.22421 -1.64153 1.05793 1.74869 -0.88079 -1.83792 0.69461 1.90828 -0.50131 -1.95906 0.30286 1.98974 -0.10130 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E16u 2.00000 -0.10130 -1.98974 0.30286 1.95906 -0.50131 -1.90828 0.69461 1.83792 -0.88079 -1.74869 1.05793 1.64153 -1.22421 -1.51752 1.37793 1.37793 -1.51752 -1.22421 1.64153 1.05793 -1.74869 -0.88079 1.83792 0.69461 -1.90828 -0.50131 1.95906 0.30286 -1.98974 -0.10130 2.00000 0.00000 0.00000 -2.00000 0.10130 1.98974 -0.30286 -1.95906 0.50131 1.90828 -0.69461 -1.83792 0.88079 1.74869 -1.05793 -1.64153 1.22421 1.51752 -1.37793 -1.37793 1.51752 1.22421 -1.64153 -1.05793 1.74869 0.88079 -1.83792 -0.69461 1.90828 0.50131 -1.95906 -0.30286 1.98974 0.10130 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E17u 2.00000 -0.30286 -1.90828 0.88079 1.64153 -1.37793 -1.22421 1.74869 0.69461 -1.95906 -0.10130 1.98974 -0.50131 -1.83792 1.05793 1.51752 -1.51752 -1.05793 1.83792 0.50131 -1.98974 0.10130 1.95906 -0.69461 -1.74869 1.22421 1.37793 -1.64153 -0.88079 1.90828 0.30286 -2.00000 0.00000 0.00000 -2.00000 -0.30286 -1.90828 0.88079 1.64153 -1.37793 -1.22421 1.74869 0.69461 -1.95906 -0.10130 1.98974 -0.50131 -1.83792 1.05793 1.51752 -1.51752 -1.05793 1.83792 0.50131 -1.98974 0.10130 1.95906 -0.69461 -1.74869 1.22421 1.37793 -1.64153 -0.88079 1.90828 0.30286 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E18u 2.00000 -0.50131 -1.74869 1.37793 1.05793 -1.90828 -0.10130 1.95906 -0.88079 -1.51752 1.64153 0.69461 -1.98974 0.30286 1.83792 -1.22421 -1.22421 1.83792 0.30286 -1.98974 0.69461 1.64153 -1.51752 -0.88079 1.95906 -0.10130 -1.90828 1.05793 1.37793 -1.74869 -0.50131 2.00000 0.00000 0.00000 -2.00000 0.50131 1.74869 -1.37793 -1.05793 1.90828 0.10130 -1.95906 0.88079 1.51752 -1.64153 -0.69461 1.98974 -0.30286 -1.83792 1.22421 1.22421 -1.83792 -0.30286 1.98974 -0.69461 -1.64153 1.51752 0.88079 -1.95906 0.10130 1.90828 -1.05793 -1.37793 1.74869 0.50131 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E19u 2.00000 -0.69461 -1.51752 1.74869 0.30286 -1.95906 1.05793 1.22421 -1.90828 0.10130 1.83792 -1.37793 -0.88079 1.98974 -0.50131 -1.64153 1.64153 0.50131 -1.98974 0.88079 1.37793 -1.83792 -0.10130 1.90828 -1.22421 -1.05793 1.95906 -0.30286 -1.74869 1.51752 0.69461 -2.00000 0.00000 0.00000 -2.00000 -0.69461 -1.51752 1.74869 0.30286 -1.95906 1.05793 1.22421 -1.90828 0.10130 1.83792 -1.37793 -0.88079 1.98974 -0.50131 -1.64153 1.64153 0.50131 -1.98974 0.88079 1.37793 -1.83792 -0.10130 1.90828 -1.22421 -1.05793 1.95906 -0.30286 -1.74869 1.51752 0.69461 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E20u 2.00000 -0.88079 -1.22421 1.95906 -0.50131 -1.51752 1.83792 -0.10130 -1.74869 1.64153 0.30286 -1.90828 1.37793 0.69461 -1.98974 1.05793 1.05793 -1.98974 0.69461 1.37793 -1.90828 0.30286 1.64153 -1.74869 -0.10130 1.83792 -1.51752 -0.50131 1.95906 -1.22421 -0.88079 2.00000 0.00000 0.00000 -2.00000 0.88079 1.22421 -1.95906 0.50131 1.51752 -1.83792 0.10130 1.74869 -1.64153 -0.30286 1.90828 -1.37793 -0.69461 1.98974 -1.05793 -1.05793 1.98974 -0.69461 -1.37793 1.90828 -0.30286 -1.64153 1.74869 0.10130 -1.83792 1.51752 0.50131 -1.95906 1.22421 0.88079 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E21u 2.00000 -1.05793 -0.88079 1.98974 -1.22421 -0.69461 1.95906 -1.37793 -0.50131 1.90828 -1.51752 -0.30286 1.83792 -1.64153 -0.10130 1.74869 -1.74869 0.10130 1.64153 -1.83792 0.30286 1.51752 -1.90828 0.50131 1.37793 -1.95906 0.69461 1.22421 -1.98974 0.88079 1.05793 -2.00000 0.00000 0.00000 -2.00000 -1.05793 -0.88079 1.98974 -1.22421 -0.69461 1.95906 -1.37793 -0.50131 1.90828 -1.51752 -0.30286 1.83792 -1.64153 -0.10130 1.74869 -1.74869 0.10130 1.64153 -1.83792 0.30286 1.51752 -1.90828 0.50131 1.37793 -1.95906 0.69461 1.22421 -1.98974 0.88079 1.05793 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E22u 2.00000 -1.22421 -0.50131 1.83792 -1.74869 0.30286 1.37793 -1.98974 1.05793 0.69461 -1.90828 1.64153 -0.10130 -1.51752 1.95906 -0.88079 -0.88079 1.95906 -1.51752 -0.10130 1.64153 -1.90828 0.69461 1.05793 -1.98974 1.37793 0.30286 -1.74869 1.83792 -0.50131 -1.22421 2.00000 0.00000 0.00000 -2.00000 1.22421 0.50131 -1.83792 1.74869 -0.30286 -1.37793 1.98974 -1.05793 -0.69461 1.90828 -1.64153 0.10130 1.51752 -1.95906 0.88079 0.88079 -1.95906 1.51752 0.10130 -1.64153 1.90828 -0.69461 -1.05793 1.98974 -1.37793 -0.30286 1.74869 -1.83792 0.50131 1.22421 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E23u 2.00000 -1.37793 -0.10130 1.51752 -1.98974 1.22421 0.30286 -1.64153 1.95906 -1.05793 -0.50131 1.74869 -1.90828 0.88079 0.69461 -1.83792 1.83792 -0.69461 -0.88079 1.90828 -1.74869 0.50131 1.05793 -1.95906 1.64153 -0.30286 -1.22421 1.98974 -1.51752 0.10130 1.37793 -2.00000 0.00000 0.00000 -2.00000 -1.37793 -0.10130 1.51752 -1.98974 1.22421 0.30286 -1.64153 1.95906 -1.05793 -0.50131 1.74869 -1.90828 0.88079 0.69461 -1.83792 1.83792 -0.69461 -0.88079 1.90828 -1.74869 0.50131 1.05793 -1.95906 1.64153 -0.30286 -1.22421 1.98974 -1.51752 0.10130 1.37793 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E24u 2.00000 -1.51752 0.30286 1.05793 -1.90828 1.83792 -0.88079 -0.50131 1.64153 -1.98974 1.37793 -0.10130 -1.22421 1.95906 -1.74869 0.69461 0.69461 -1.74869 1.95906 -1.22421 -0.10130 1.37793 -1.98974 1.64153 -0.50131 -0.88079 1.83792 -1.90828 1.05793 0.30286 -1.51752 2.00000 0.00000 0.00000 -2.00000 1.51752 -0.30286 -1.05793 1.90828 -1.83792 0.88079 0.50131 -1.64153 1.98974 -1.37793 0.10130 1.22421 -1.95906 1.74869 -0.69461 -0.69461 1.74869 -1.95906 1.22421 0.10130 -1.37793 1.98974 -1.64153 0.50131 0.88079 -1.83792 1.90828 -1.05793 -0.30286 1.51752 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E25u 2.00000 -1.64153 0.69461 0.50131 -1.51752 1.98974 -1.74869 0.88079 0.30286 -1.37793 1.95906 -1.83792 1.05793 0.10130 -1.22421 1.90828 -1.90828 1.22421 -0.10130 -1.05793 1.83792 -1.95906 1.37793 -0.30286 -0.88079 1.74869 -1.98974 1.51752 -0.50131 -0.69461 1.64153 -2.00000 0.00000 0.00000 -2.00000 -1.64153 0.69461 0.50131 -1.51752 1.98974 -1.74869 0.88079 0.30286 -1.37793 1.95906 -1.83792 1.05793 0.10130 -1.22421 1.90828 -1.90828 1.22421 -0.10130 -1.05793 1.83792 -1.95906 1.37793 -0.30286 -0.88079 1.74869 -1.98974 1.51752 -0.50131 -0.69461 1.64153 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E26u 2.00000 -1.74869 1.05793 -0.10130 -0.88079 1.64153 -1.98974 1.83792 -1.22421 0.30286 0.69461 -1.51752 1.95906 -1.90828 1.37793 -0.50131 -0.50131 1.37793 -1.90828 1.95906 -1.51752 0.69461 0.30286 -1.22421 1.83792 -1.98974 1.64153 -0.88079 -0.10130 1.05793 -1.74869 2.00000 0.00000 0.00000 -2.00000 1.74869 -1.05793 0.10130 0.88079 -1.64153 1.98974 -1.83792 1.22421 -0.30286 -0.69461 1.51752 -1.95906 1.90828 -1.37793 0.50131 0.50131 -1.37793 1.90828 -1.95906 1.51752 -0.69461 -0.30286 1.22421 -1.83792 1.98974 -1.64153 0.88079 0.10130 -1.05793 1.74869 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E27u 2.00000 -1.83792 1.37793 -0.69461 -0.10130 0.88079 -1.51752 1.90828 -1.98974 1.74869 -1.22421 0.50131 0.30286 -1.05793 1.64153 -1.95906 1.95906 -1.64153 1.05793 -0.30286 -0.50131 1.22421 -1.74869 1.98974 -1.90828 1.51752 -0.88079 0.10130 0.69461 -1.37793 1.83792 -2.00000 0.00000 0.00000 -2.00000 -1.83792 1.37793 -0.69461 -0.10130 0.88079 -1.51752 1.90828 -1.98974 1.74869 -1.22421 0.50131 0.30286 -1.05793 1.64153 -1.95906 1.95906 -1.64153 1.05793 -0.30286 -0.50131 1.22421 -1.74869 1.98974 -1.90828 1.51752 -0.88079 0.10130 0.69461 -1.37793 1.83792 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E28u 2.00000 -1.90828 1.64153 -1.22421 0.69461 -0.10130 -0.50131 1.05793 -1.51752 1.83792 -1.98974 1.95906 -1.74869 1.37793 -0.88079 0.30286 0.30286 -0.88079 1.37793 -1.74869 1.95906 -1.98974 1.83792 -1.51752 1.05793 -0.50131 -0.10130 0.69461 -1.22421 1.64153 -1.90828 2.00000 0.00000 0.00000 -2.00000 1.90828 -1.64153 1.22421 -0.69461 0.10130 0.50131 -1.05793 1.51752 -1.83792 1.98974 -1.95906 1.74869 -1.37793 0.88079 -0.30286 -0.30286 0.88079 -1.37793 1.74869 -1.95906 1.98974 -1.83792 1.51752 -1.05793 0.50131 0.10130 -0.69461 1.22421 -1.64153 1.90828 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E29u 2.00000 -1.95906 1.83792 -1.64153 1.37793 -1.05793 0.69461 -0.30286 -0.10130 0.50131 -0.88079 1.22421 -1.51752 1.74869 -1.90828 1.98974 -1.98974 1.90828 -1.74869 1.51752 -1.22421 0.88079 -0.50131 0.10130 0.30286 -0.69461 1.05793 -1.37793 1.64153 -1.83792 1.95906 -2.00000 0.00000 0.00000 -2.00000 -1.95906 1.83792 -1.64153 1.37793 -1.05793 0.69461 -0.30286 -0.10130 0.50131 -0.88079 1.22421 -1.51752 1.74869 -1.90828 1.98974 -1.98974 1.90828 -1.74869 1.51752 -1.22421 0.88079 -0.50131 0.10130 0.30286 -0.69461 1.05793 -1.37793 1.64153 -1.83792 1.95906 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E30u 2.00000 -1.98974 1.95906 -1.90828 1.83792 -1.74869 1.64153 -1.51752 1.37793 -1.22421 1.05793 -0.88079 0.69461 -0.50131 0.30286 -0.10130 -0.10130 0.30286 -0.50131 0.69461 -0.88079 1.05793 -1.22421 1.37793 -1.51752 1.64153 -1.74869 1.83792 -1.90828 1.95906 -1.98974 2.00000 0.00000 0.00000 -2.00000 1.98974 -1.95906 1.90828 -1.83792 1.74869 -1.64153 1.51752 -1.37793 1.22421 -1.05793 0.88079 -0.69461 0.50131 -0.30286 0.10130 0.10130 -0.30286 0.50131 -0.69461 0.88079 -1.05793 1.22421 -1.37793 1.51752 -1.64153 1.74869 -1.83792 1.90828 -1.95906 1.98974 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.989738646784 = 2*cos(2*π/62) = 2*cos(π/31) 1.959059882505 = 2*cos(4*π/62) = 2*cos(2*π/31) 1.908278512800 = 2*cos(6*π/62) = 2*cos(3*π/31) 1.837915623240 = 2*cos(8*π/62) = 2*cos(4*π/31) 1.748693232289 = 2*cos(10*π/62) = 2*cos(5*π/31) 1.641526882415 = 2*cos(12*π/62) = 2*cos(6*π/31) 1.517516245386 = 2*cos(14*π/62) = 2*cos(7*π/31) 1.377933838151 = 2*cos(16*π/62) = 2*cos(8*π/31) 1.224211965095 = 2*cos(18*π/62) = 2*cos(9*π/31) 1.057928020654 = 2*cos(20*π/62) = 2*cos(10*π/31) 0.880788303115 = 2*cos(22*π/62) = 2*cos(11*π/31) 0.694610505690 = 2*cos(24*π/62) = 2*cos(12*π/31) 0.501305064517 = 2*cos(26*π/62) = 2*cos(13*π/31) 0.302855555009 = 2*cos(28*π/62) = 2*cos(14*π/31) 0.101298337677 = 2*cos(30*π/62) = 2*cos(15*π/31) 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_62h point group is 248, and the order of the principal axis (C₆₂) is 62. The group has 68 irreducible representations. β The D_62h point group is generated by three symmetry elements that are canonically chosen C₆₂, 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 S₆₂ 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_62h 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. For this group, however, none of the irrational characters can be expressed by a closed algebraic form using real numbers only.

This Character Table for the D_62h point group was created by Gernot Katzer.

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

	D_60h
	D_61h
C₆₂ C_62v C_62h D₆₂	D_62h	D_62d S₆₂
	D_63h
	D_64h

Character table for the D62h point group

Character table for the D_62h point group