Character table for the C60h point group

C60h     E        2 C60    2 C30    2 C20    2 C15    2 C12    2 C10    2 C60^7  2 C15^2  2 C20^3  2 C6     2 C60^11 2 C5     2 C60^13 2 C30^7  2 C4     2 C15^4  2 C60^17 2 C10^3  2 C60^19 2 C3     2 C20^7  2 C30^11 2 C60^23 2 C5^2   2 C12^5  2 C30^13 2 C20^9  2 C15^7  2 C60^29 C2       i        2 S60    2 S30    2 S20    2 S15    2 S12    2 S10    2 S60^7  2 S15^2  2 S20^3  2 S6     2 S60^11 2 S5     2 S60^13 2 S30^7  2 S4     2 S15^4  2 S60^17 2 S10^3  2 S60^19 2 S3     2 S20^7  2 S30^11 2 S60^23 2 S5^2   2 S12^5  2 S30^13 2 S20^9  2 S15^7  2 S60^29 sh         <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> 
Ag      1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000     ..T ... ....T ....... ........T ........... ............T
Bg      1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000     ... ... ..... ....... ......... ........... .............
E1g  *  2.00000  1.98904  1.95630  1.90211  1.82709  1.73205  1.61803  1.48629  1.33826  1.17557  1.00000  0.81347  0.61803  0.41582  0.20906  0.00000 -0.20906 -0.41582 -0.61803 -0.81347 -1.00000 -1.17557 -1.33826 -1.48629 -1.61803 -1.73205 -1.82709 -1.90211 -1.95630 -1.98904 -2.00000  2.00000 -1.98904 -1.95630 -1.90211 -1.82709 -1.73205 -1.61803 -1.48629 -1.33826 -1.17557 -1.00000 -0.81347 -0.61803 -0.41582 -0.20906  0.00000  0.20906  0.41582  0.61803  0.81347  1.00000  1.17557  1.33826  1.48629  1.61803  1.73205  1.82709  1.90211  1.95630  1.98904 -2.00000     TT. ... ..TT. ....... ......TT. ........... ..........TT.
E2g  *  2.00000  1.95630  1.82709  1.61803  1.33826  1.00000  0.61803  0.20906 -0.20906 -0.61803 -1.00000 -1.33826 -1.61803 -1.82709 -1.95630 -2.00000 -1.95630 -1.82709 -1.61803 -1.33826 -1.00000 -0.61803 -0.20906  0.20906  0.61803  1.00000  1.33826  1.61803  1.82709  1.95630  2.00000  2.00000  1.95630  1.82709  1.61803  1.33826  1.00000  0.61803  0.20906 -0.20906 -0.61803 -1.00000 -1.33826 -1.61803 -1.82709 -1.95630 -2.00000 -1.95630 -1.82709 -1.61803 -1.33826 -1.00000 -0.61803 -0.20906  0.20906  0.61803  1.00000  1.33826  1.61803  1.82709  1.95630  2.00000     ... ... TT... ....... ....TT... ........... ........TT...
E3g  *  2.00000  1.90211  1.61803  1.17557  0.61803  0.00000 -0.61803 -1.17557 -1.61803 -1.90211 -2.00000 -1.90211 -1.61803 -1.17557 -0.61803  0.00000  0.61803  1.17557  1.61803  1.90211  2.00000  1.90211  1.61803  1.17557  0.61803  0.00000 -0.61803 -1.17557 -1.61803 -1.90211 -2.00000  2.00000 -1.90211 -1.61803 -1.17557 -0.61803  0.00000  0.61803  1.17557  1.61803  1.90211  2.00000  1.90211  1.61803  1.17557  0.61803  0.00000 -0.61803 -1.17557 -1.61803 -1.90211 -2.00000 -1.90211 -1.61803 -1.17557 -0.61803  0.00000  0.61803  1.17557  1.61803  1.90211 -2.00000     ... ... ..... ....... ..TT..... ........... ......TT.....
E4g  *  2.00000  1.82709  1.33826  0.61803 -0.20906 -1.00000 -1.61803 -1.95630 -1.95630 -1.61803 -1.00000 -0.20906  0.61803  1.33826  1.82709  2.00000  1.82709  1.33826  0.61803 -0.20906 -1.00000 -1.61803 -1.95630 -1.95630 -1.61803 -1.00000 -0.20906  0.61803  1.33826  1.82709  2.00000  2.00000  1.82709  1.33826  0.61803 -0.20906 -1.00000 -1.61803 -1.95630 -1.95630 -1.61803 -1.00000 -0.20906  0.61803  1.33826  1.82709  2.00000  1.82709  1.33826  0.61803 -0.20906 -1.00000 -1.61803 -1.95630 -1.95630 -1.61803 -1.00000 -0.20906  0.61803  1.33826  1.82709  2.00000     ... ... ..... ....... TT....... ........... ....TT.......
E5g  *  2.00000  1.73205  1.00000  0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000  0.00000  1.00000  1.73205  2.00000  1.73205  1.00000  0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000  0.00000  1.00000  1.73205  2.00000  1.73205  1.00000  0.00000 -1.00000 -1.73205 -2.00000  2.00000 -1.73205 -1.00000  0.00000  1.00000  1.73205  2.00000  1.73205  1.00000  0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000  0.00000  1.00000  1.73205  2.00000  1.73205  1.00000  0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000  0.00000  1.00000  1.73205 -2.00000     ... ... ..... ....... ......... ........... ..TT.........
E6g  *  2.00000  1.61803  0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803  0.61803  1.61803  2.00000  1.61803  0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803  0.61803  1.61803  2.00000  1.61803  0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803  0.61803  1.61803  2.00000  2.00000  1.61803  0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803  0.61803  1.61803  2.00000  1.61803  0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803  0.61803  1.61803  2.00000  1.61803  0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803  0.61803  1.61803  2.00000     ... ... ..... ....... ......... ........... TT...........
E7g  *  2.00000  1.48629  0.20906 -1.17557 -1.95630 -1.73205 -0.61803  0.81347  1.82709  1.90211  1.00000 -0.41582 -1.61803 -1.98904 -1.33826  0.00000  1.33826  1.98904  1.61803  0.41582 -1.00000 -1.90211 -1.82709 -0.81347  0.61803  1.73205  1.95630  1.17557 -0.20906 -1.48629 -2.00000  2.00000 -1.48629 -0.20906  1.17557  1.95630  1.73205  0.61803 -0.81347 -1.82709 -1.90211 -1.00000  0.41582  1.61803  1.98904  1.33826  0.00000 -1.33826 -1.98904 -1.61803 -0.41582  1.00000  1.90211  1.82709  0.81347 -0.61803 -1.73205 -1.95630 -1.17557  0.20906  1.48629 -2.00000     ... ... ..... ....... ......... ........... .............
E8g  *  2.00000  1.33826 -0.20906 -1.61803 -1.95630 -1.00000  0.61803  1.82709  1.82709  0.61803 -1.00000 -1.95630 -1.61803 -0.20906  1.33826  2.00000  1.33826 -0.20906 -1.61803 -1.95630 -1.00000  0.61803  1.82709  1.82709  0.61803 -1.00000 -1.95630 -1.61803 -0.20906  1.33826  2.00000  2.00000  1.33826 -0.20906 -1.61803 -1.95630 -1.00000  0.61803  1.82709  1.82709  0.61803 -1.00000 -1.95630 -1.61803 -0.20906  1.33826  2.00000  1.33826 -0.20906 -1.61803 -1.95630 -1.00000  0.61803  1.82709  1.82709  0.61803 -1.00000 -1.95630 -1.61803 -0.20906  1.33826  2.00000     ... ... ..... ....... ......... ........... .............
E9g  *  2.00000  1.17557 -0.61803 -1.90211 -1.61803  0.00000  1.61803  1.90211  0.61803 -1.17557 -2.00000 -1.17557  0.61803  1.90211  1.61803  0.00000 -1.61803 -1.90211 -0.61803  1.17557  2.00000  1.17557 -0.61803 -1.90211 -1.61803  0.00000  1.61803  1.90211  0.61803 -1.17557 -2.00000  2.00000 -1.17557  0.61803  1.90211  1.61803  0.00000 -1.61803 -1.90211 -0.61803  1.17557  2.00000  1.17557 -0.61803 -1.90211 -1.61803  0.00000  1.61803  1.90211  0.61803 -1.17557 -2.00000 -1.17557  0.61803  1.90211  1.61803  0.00000 -1.61803 -1.90211 -0.61803  1.17557 -2.00000     ... ... ..... ....... ......... ........... .............
E10g *  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000     ... ... ..... ....... ......... ........... .............
E11g *  2.00000  0.81347 -1.33826 -1.90211 -0.20906  1.73205  1.61803 -0.41582 -1.95630 -1.17557  1.00000  1.98904  0.61803 -1.48629 -1.82709  0.00000  1.82709  1.48629 -0.61803 -1.98904 -1.00000  1.17557  1.95630  0.41582 -1.61803 -1.73205  0.20906  1.90211  1.33826 -0.81347 -2.00000  2.00000 -0.81347  1.33826  1.90211  0.20906 -1.73205 -1.61803  0.41582  1.95630  1.17557 -1.00000 -1.98904 -0.61803  1.48629  1.82709  0.00000 -1.82709 -1.48629  0.61803  1.98904  1.00000 -1.17557 -1.95630 -0.41582  1.61803  1.73205 -0.20906 -1.90211 -1.33826  0.81347 -2.00000     ... ... ..... ....... ......... ........... .............
E12g *  2.00000  0.61803 -1.61803 -1.61803  0.61803  2.00000  0.61803 -1.61803 -1.61803  0.61803  2.00000  0.61803 -1.61803 -1.61803  0.61803  2.00000  0.61803 -1.61803 -1.61803  0.61803  2.00000  0.61803 -1.61803 -1.61803  0.61803  2.00000  0.61803 -1.61803 -1.61803  0.61803  2.00000  2.00000  0.61803 -1.61803 -1.61803  0.61803  2.00000  0.61803 -1.61803 -1.61803  0.61803  2.00000  0.61803 -1.61803 -1.61803  0.61803  2.00000  0.61803 -1.61803 -1.61803  0.61803  2.00000  0.61803 -1.61803 -1.61803  0.61803  2.00000  0.61803 -1.61803 -1.61803  0.61803  2.00000     ... ... ..... ....... ......... ........... .............
E13g *  2.00000  0.41582 -1.82709 -1.17557  1.33826  1.73205 -0.61803 -1.98904 -0.20906  1.90211  1.00000 -1.48629 -1.61803  0.81347  1.95630  0.00000 -1.95630 -0.81347  1.61803  1.48629 -1.00000 -1.90211  0.20906  1.98904  0.61803 -1.73205 -1.33826  1.17557  1.82709 -0.41582 -2.00000  2.00000 -0.41582  1.82709  1.17557 -1.33826 -1.73205  0.61803  1.98904  0.20906 -1.90211 -1.00000  1.48629  1.61803 -0.81347 -1.95630  0.00000  1.95630  0.81347 -1.61803 -1.48629  1.00000  1.90211 -0.20906 -1.98904 -0.61803  1.73205  1.33826 -1.17557 -1.82709  0.41582 -2.00000     ... ... ..... ....... ......... ........... .............
E14g *  2.00000  0.20906 -1.95630 -0.61803  1.82709  1.00000 -1.61803 -1.33826  1.33826  1.61803 -1.00000 -1.82709  0.61803  1.95630 -0.20906 -2.00000 -0.20906  1.95630  0.61803 -1.82709 -1.00000  1.61803  1.33826 -1.33826 -1.61803  1.00000  1.82709 -0.61803 -1.95630  0.20906  2.00000  2.00000  0.20906 -1.95630 -0.61803  1.82709  1.00000 -1.61803 -1.33826  1.33826  1.61803 -1.00000 -1.82709  0.61803  1.95630 -0.20906 -2.00000 -0.20906  1.95630  0.61803 -1.82709 -1.00000  1.61803  1.33826 -1.33826 -1.61803  1.00000  1.82709 -0.61803 -1.95630  0.20906  2.00000     ... ... ..... ....... ......... ........... .............
E15g *  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000 -2.00000     ... ... ..... ....... ......... ........... .............
E16g *  2.00000 -0.20906 -1.95630  0.61803  1.82709 -1.00000 -1.61803  1.33826  1.33826 -1.61803 -1.00000  1.82709  0.61803 -1.95630 -0.20906  2.00000 -0.20906 -1.95630  0.61803  1.82709 -1.00000 -1.61803  1.33826  1.33826 -1.61803 -1.00000  1.82709  0.61803 -1.95630 -0.20906  2.00000  2.00000 -0.20906 -1.95630  0.61803  1.82709 -1.00000 -1.61803  1.33826  1.33826 -1.61803 -1.00000  1.82709  0.61803 -1.95630 -0.20906  2.00000 -0.20906 -1.95630  0.61803  1.82709 -1.00000 -1.61803  1.33826  1.33826 -1.61803 -1.00000  1.82709  0.61803 -1.95630 -0.20906  2.00000     ... ... ..... ....... ......... ........... .............
E17g *  2.00000 -0.41582 -1.82709  1.17557  1.33826 -1.73205 -0.61803  1.98904 -0.20906 -1.90211  1.00000  1.48629 -1.61803 -0.81347  1.95630  0.00000 -1.95630  0.81347  1.61803 -1.48629 -1.00000  1.90211  0.20906 -1.98904  0.61803  1.73205 -1.33826 -1.17557  1.82709  0.41582 -2.00000  2.00000  0.41582  1.82709 -1.17557 -1.33826  1.73205  0.61803 -1.98904  0.20906  1.90211 -1.00000 -1.48629  1.61803  0.81347 -1.95630  0.00000  1.95630 -0.81347 -1.61803  1.48629  1.00000 -1.90211 -0.20906  1.98904 -0.61803 -1.73205  1.33826  1.17557 -1.82709 -0.41582 -2.00000     ... ... ..... ....... ......... ........... .............
E18g *  2.00000 -0.61803 -1.61803  1.61803  0.61803 -2.00000  0.61803  1.61803 -1.61803 -0.61803  2.00000 -0.61803 -1.61803  1.61803  0.61803 -2.00000  0.61803  1.61803 -1.61803 -0.61803  2.00000 -0.61803 -1.61803  1.61803  0.61803 -2.00000  0.61803  1.61803 -1.61803 -0.61803  2.00000  2.00000 -0.61803 -1.61803  1.61803  0.61803 -2.00000  0.61803  1.61803 -1.61803 -0.61803  2.00000 -0.61803 -1.61803  1.61803  0.61803 -2.00000  0.61803  1.61803 -1.61803 -0.61803  2.00000 -0.61803 -1.61803  1.61803  0.61803 -2.00000  0.61803  1.61803 -1.61803 -0.61803  2.00000     ... ... ..... ....... ......... ........... .............
E19g *  2.00000 -0.81347 -1.33826  1.90211 -0.20906 -1.73205  1.61803  0.41582 -1.95630  1.17557  1.00000 -1.98904  0.61803  1.48629 -1.82709  0.00000  1.82709 -1.48629 -0.61803  1.98904 -1.00000 -1.17557  1.95630 -0.41582 -1.61803  1.73205  0.20906 -1.90211  1.33826  0.81347 -2.00000  2.00000  0.81347  1.33826 -1.90211  0.20906  1.73205 -1.61803 -0.41582  1.95630 -1.17557 -1.00000  1.98904 -0.61803 -1.48629  1.82709  0.00000 -1.82709  1.48629  0.61803 -1.98904  1.00000  1.17557 -1.95630  0.41582  1.61803 -1.73205 -0.20906  1.90211 -1.33826 -0.81347 -2.00000     ... ... ..... ....... ......... ........... .............
E20g *  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000     ... ... ..... ....... ......... ........... .............
E21g *  2.00000 -1.17557 -0.61803  1.90211 -1.61803  0.00000  1.61803 -1.90211  0.61803  1.17557 -2.00000  1.17557  0.61803 -1.90211  1.61803  0.00000 -1.61803  1.90211 -0.61803 -1.17557  2.00000 -1.17557 -0.61803  1.90211 -1.61803  0.00000  1.61803 -1.90211  0.61803  1.17557 -2.00000  2.00000  1.17557  0.61803 -1.90211  1.61803  0.00000 -1.61803  1.90211 -0.61803 -1.17557  2.00000 -1.17557 -0.61803  1.90211 -1.61803  0.00000  1.61803 -1.90211  0.61803  1.17557 -2.00000  1.17557  0.61803 -1.90211  1.61803  0.00000 -1.61803  1.90211 -0.61803 -1.17557 -2.00000     ... ... ..... ....... ......... ........... .............
E22g *  2.00000 -1.33826 -0.20906  1.61803 -1.95630  1.00000  0.61803 -1.82709  1.82709 -0.61803 -1.00000  1.95630 -1.61803  0.20906  1.33826 -2.00000  1.33826  0.20906 -1.61803  1.95630 -1.00000 -0.61803  1.82709 -1.82709  0.61803  1.00000 -1.95630  1.61803 -0.20906 -1.33826  2.00000  2.00000 -1.33826 -0.20906  1.61803 -1.95630  1.00000  0.61803 -1.82709  1.82709 -0.61803 -1.00000  1.95630 -1.61803  0.20906  1.33826 -2.00000  1.33826  0.20906 -1.61803  1.95630 -1.00000 -0.61803  1.82709 -1.82709  0.61803  1.00000 -1.95630  1.61803 -0.20906 -1.33826  2.00000     ... ... ..... ....... ......... ........... .............
E23g *  2.00000 -1.48629  0.20906  1.17557 -1.95630  1.73205 -0.61803 -0.81347  1.82709 -1.90211  1.00000  0.41582 -1.61803  1.98904 -1.33826  0.00000  1.33826 -1.98904  1.61803 -0.41582 -1.00000  1.90211 -1.82709  0.81347  0.61803 -1.73205  1.95630 -1.17557 -0.20906  1.48629 -2.00000  2.00000  1.48629 -0.20906 -1.17557  1.95630 -1.73205  0.61803  0.81347 -1.82709  1.90211 -1.00000 -0.41582  1.61803 -1.98904  1.33826  0.00000 -1.33826  1.98904 -1.61803  0.41582  1.00000 -1.90211  1.82709 -0.81347 -0.61803  1.73205 -1.95630  1.17557  0.20906 -1.48629 -2.00000     ... ... ..... ....... ......... ........... .............
E24g *  2.00000 -1.61803  0.61803  0.61803 -1.61803  2.00000 -1.61803  0.61803  0.61803 -1.61803  2.00000 -1.61803  0.61803  0.61803 -1.61803  2.00000 -1.61803  0.61803  0.61803 -1.61803  2.00000 -1.61803  0.61803  0.61803 -1.61803  2.00000 -1.61803  0.61803  0.61803 -1.61803  2.00000  2.00000 -1.61803  0.61803  0.61803 -1.61803  2.00000 -1.61803  0.61803  0.61803 -1.61803  2.00000 -1.61803  0.61803  0.61803 -1.61803  2.00000 -1.61803  0.61803  0.61803 -1.61803  2.00000 -1.61803  0.61803  0.61803 -1.61803  2.00000 -1.61803  0.61803  0.61803 -1.61803  2.00000     ... ... ..... ....... ......... ........... .............
E25g *  2.00000 -1.73205  1.00000  0.00000 -1.00000  1.73205 -2.00000  1.73205 -1.00000  0.00000  1.00000 -1.73205  2.00000 -1.73205  1.00000  0.00000 -1.00000  1.73205 -2.00000  1.73205 -1.00000  0.00000  1.00000 -1.73205  2.00000 -1.73205  1.00000  0.00000 -1.00000  1.73205 -2.00000  2.00000  1.73205 -1.00000  0.00000  1.00000 -1.73205  2.00000 -1.73205  1.00000  0.00000 -1.00000  1.73205 -2.00000  1.73205 -1.00000  0.00000  1.00000 -1.73205  2.00000 -1.73205  1.00000  0.00000 -1.00000  1.73205 -2.00000  1.73205 -1.00000  0.00000  1.00000 -1.73205 -2.00000     ... ... ..... ....... ......... ........... .............
E26g *  2.00000 -1.82709  1.33826 -0.61803 -0.20906  1.00000 -1.61803  1.95630 -1.95630  1.61803 -1.00000  0.20906  0.61803 -1.33826  1.82709 -2.00000  1.82709 -1.33826  0.61803  0.20906 -1.00000  1.61803 -1.95630  1.95630 -1.61803  1.00000 -0.20906 -0.61803  1.33826 -1.82709  2.00000  2.00000 -1.82709  1.33826 -0.61803 -0.20906  1.00000 -1.61803  1.95630 -1.95630  1.61803 -1.00000  0.20906  0.61803 -1.33826  1.82709 -2.00000  1.82709 -1.33826  0.61803  0.20906 -1.00000  1.61803 -1.95630  1.95630 -1.61803  1.00000 -0.20906 -0.61803  1.33826 -1.82709  2.00000     ... ... ..... ....... ......... ........... .............
E27g *  2.00000 -1.90211  1.61803 -1.17557  0.61803  0.00000 -0.61803  1.17557 -1.61803  1.90211 -2.00000  1.90211 -1.61803  1.17557 -0.61803  0.00000  0.61803 -1.17557  1.61803 -1.90211  2.00000 -1.90211  1.61803 -1.17557  0.61803  0.00000 -0.61803  1.17557 -1.61803  1.90211 -2.00000  2.00000  1.90211 -1.61803  1.17557 -0.61803  0.00000  0.61803 -1.17557  1.61803 -1.90211  2.00000 -1.90211  1.61803 -1.17557  0.61803  0.00000 -0.61803  1.17557 -1.61803  1.90211 -2.00000  1.90211 -1.61803  1.17557 -0.61803  0.00000  0.61803 -1.17557  1.61803 -1.90211 -2.00000     ... ... ..... ....... ......... ........... .............
E28g *  2.00000 -1.95630  1.82709 -1.61803  1.33826 -1.00000  0.61803 -0.20906 -0.20906  0.61803 -1.00000  1.33826 -1.61803  1.82709 -1.95630  2.00000 -1.95630  1.82709 -1.61803  1.33826 -1.00000  0.61803 -0.20906 -0.20906  0.61803 -1.00000  1.33826 -1.61803  1.82709 -1.95630  2.00000  2.00000 -1.95630  1.82709 -1.61803  1.33826 -1.00000  0.61803 -0.20906 -0.20906  0.61803 -1.00000  1.33826 -1.61803  1.82709 -1.95630  2.00000 -1.95630  1.82709 -1.61803  1.33826 -1.00000  0.61803 -0.20906 -0.20906  0.61803 -1.00000  1.33826 -1.61803  1.82709 -1.95630  2.00000     ... ... ..... ....... ......... ........... .............
E29g *  2.00000 -1.98904  1.95630 -1.90211  1.82709 -1.73205  1.61803 -1.48629  1.33826 -1.17557  1.00000 -0.81347  0.61803 -0.41582  0.20906  0.00000 -0.20906  0.41582 -0.61803  0.81347 -1.00000  1.17557 -1.33826  1.48629 -1.61803  1.73205 -1.82709  1.90211 -1.95630  1.98904 -2.00000  2.00000  1.98904 -1.95630  1.90211 -1.82709  1.73205 -1.61803  1.48629 -1.33826  1.17557 -1.00000  0.81347 -0.61803  0.41582 -0.20906  0.00000  0.20906 -0.41582  0.61803 -0.81347  1.00000 -1.17557  1.33826 -1.48629  1.61803 -1.73205  1.82709 -1.90211  1.95630 -1.98904 -2.00000     ... ... ..... ....... ......... ........... .............
Au      1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000     ... ..T ..... ......T ......... ..........T .............
Bu      1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000     ... ... ..... ....... ......... ........... .............
E1u  *  2.00000  1.98904  1.95630  1.90211  1.82709  1.73205  1.61803  1.48629  1.33826  1.17557  1.00000  0.81347  0.61803  0.41582  0.20906  0.00000 -0.20906 -0.41582 -0.61803 -0.81347 -1.00000 -1.17557 -1.33826 -1.48629 -1.61803 -1.73205 -1.82709 -1.90211 -1.95630 -1.98904 -2.00000 -2.00000  1.98904  1.95630  1.90211  1.82709  1.73205  1.61803  1.48629  1.33826  1.17557  1.00000  0.81347  0.61803  0.41582  0.20906  0.00000 -0.20906 -0.41582 -0.61803 -0.81347 -1.00000 -1.17557 -1.33826 -1.48629 -1.61803 -1.73205 -1.82709 -1.90211 -1.95630 -1.98904  2.00000     ... TT. ..... ....TT. ......... ........TT. .............
E2u  *  2.00000  1.95630  1.82709  1.61803  1.33826  1.00000  0.61803  0.20906 -0.20906 -0.61803 -1.00000 -1.33826 -1.61803 -1.82709 -1.95630 -2.00000 -1.95630 -1.82709 -1.61803 -1.33826 -1.00000 -0.61803 -0.20906  0.20906  0.61803  1.00000  1.33826  1.61803  1.82709  1.95630  2.00000 -2.00000 -1.95630 -1.82709 -1.61803 -1.33826 -1.00000 -0.61803 -0.20906  0.20906  0.61803  1.00000  1.33826  1.61803  1.82709  1.95630  2.00000  1.95630  1.82709  1.61803  1.33826  1.00000  0.61803  0.20906 -0.20906 -0.61803 -1.00000 -1.33826 -1.61803 -1.82709 -1.95630 -2.00000     ... ... ..... ..TT... ......... ......TT... .............
E3u  *  2.00000  1.90211  1.61803  1.17557  0.61803  0.00000 -0.61803 -1.17557 -1.61803 -1.90211 -2.00000 -1.90211 -1.61803 -1.17557 -0.61803  0.00000  0.61803  1.17557  1.61803  1.90211  2.00000  1.90211  1.61803  1.17557  0.61803  0.00000 -0.61803 -1.17557 -1.61803 -1.90211 -2.00000 -2.00000  1.90211  1.61803  1.17557  0.61803  0.00000 -0.61803 -1.17557 -1.61803 -1.90211 -2.00000 -1.90211 -1.61803 -1.17557 -0.61803  0.00000  0.61803  1.17557  1.61803  1.90211  2.00000  1.90211  1.61803  1.17557  0.61803  0.00000 -0.61803 -1.17557 -1.61803 -1.90211  2.00000     ... ... ..... TT..... ......... ....TT..... .............
E4u  *  2.00000  1.82709  1.33826  0.61803 -0.20906 -1.00000 -1.61803 -1.95630 -1.95630 -1.61803 -1.00000 -0.20906  0.61803  1.33826  1.82709  2.00000  1.82709  1.33826  0.61803 -0.20906 -1.00000 -1.61803 -1.95630 -1.95630 -1.61803 -1.00000 -0.20906  0.61803  1.33826  1.82709  2.00000 -2.00000 -1.82709 -1.33826 -0.61803  0.20906  1.00000  1.61803  1.95630  1.95630  1.61803  1.00000  0.20906 -0.61803 -1.33826 -1.82709 -2.00000 -1.82709 -1.33826 -0.61803  0.20906  1.00000  1.61803  1.95630  1.95630  1.61803  1.00000  0.20906 -0.61803 -1.33826 -1.82709 -2.00000     ... ... ..... ....... ......... ..TT....... .............
E5u  *  2.00000  1.73205  1.00000  0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000  0.00000  1.00000  1.73205  2.00000  1.73205  1.00000  0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000  0.00000  1.00000  1.73205  2.00000  1.73205  1.00000  0.00000 -1.00000 -1.73205 -2.00000 -2.00000  1.73205  1.00000  0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000  0.00000  1.00000  1.73205  2.00000  1.73205  1.00000  0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000  0.00000  1.00000  1.73205  2.00000  1.73205  1.00000  0.00000 -1.00000 -1.73205  2.00000     ... ... ..... ....... ......... TT......... .............
E6u  *  2.00000  1.61803  0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803  0.61803  1.61803  2.00000  1.61803  0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803  0.61803  1.61803  2.00000  1.61803  0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803  0.61803  1.61803  2.00000 -2.00000 -1.61803 -0.61803  0.61803  1.61803  2.00000  1.61803  0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803  0.61803  1.61803  2.00000  1.61803  0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803  0.61803  1.61803  2.00000  1.61803  0.61803 -0.61803 -1.61803 -2.00000     ... ... ..... ....... ......... ........... .............
E7u  *  2.00000  1.48629  0.20906 -1.17557 -1.95630 -1.73205 -0.61803  0.81347  1.82709  1.90211  1.00000 -0.41582 -1.61803 -1.98904 -1.33826  0.00000  1.33826  1.98904  1.61803  0.41582 -1.00000 -1.90211 -1.82709 -0.81347  0.61803  1.73205  1.95630  1.17557 -0.20906 -1.48629 -2.00000 -2.00000  1.48629  0.20906 -1.17557 -1.95630 -1.73205 -0.61803  0.81347  1.82709  1.90211  1.00000 -0.41582 -1.61803 -1.98904 -1.33826  0.00000  1.33826  1.98904  1.61803  0.41582 -1.00000 -1.90211 -1.82709 -0.81347  0.61803  1.73205  1.95630  1.17557 -0.20906 -1.48629  2.00000     ... ... ..... ....... ......... ........... .............
E8u  *  2.00000  1.33826 -0.20906 -1.61803 -1.95630 -1.00000  0.61803  1.82709  1.82709  0.61803 -1.00000 -1.95630 -1.61803 -0.20906  1.33826  2.00000  1.33826 -0.20906 -1.61803 -1.95630 -1.00000  0.61803  1.82709  1.82709  0.61803 -1.00000 -1.95630 -1.61803 -0.20906  1.33826  2.00000 -2.00000 -1.33826  0.20906  1.61803  1.95630  1.00000 -0.61803 -1.82709 -1.82709 -0.61803  1.00000  1.95630  1.61803  0.20906 -1.33826 -2.00000 -1.33826  0.20906  1.61803  1.95630  1.00000 -0.61803 -1.82709 -1.82709 -0.61803  1.00000  1.95630  1.61803  0.20906 -1.33826 -2.00000     ... ... ..... ....... ......... ........... .............
E9u  *  2.00000  1.17557 -0.61803 -1.90211 -1.61803  0.00000  1.61803  1.90211  0.61803 -1.17557 -2.00000 -1.17557  0.61803  1.90211  1.61803  0.00000 -1.61803 -1.90211 -0.61803  1.17557  2.00000  1.17557 -0.61803 -1.90211 -1.61803  0.00000  1.61803  1.90211  0.61803 -1.17557 -2.00000 -2.00000  1.17557 -0.61803 -1.90211 -1.61803  0.00000  1.61803  1.90211  0.61803 -1.17557 -2.00000 -1.17557  0.61803  1.90211  1.61803  0.00000 -1.61803 -1.90211 -0.61803  1.17557  2.00000  1.17557 -0.61803 -1.90211 -1.61803  0.00000  1.61803  1.90211  0.61803 -1.17557  2.00000     ... ... ..... ....... ......... ........... .............
E10u *  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000     ... ... ..... ....... ......... ........... .............
E11u *  2.00000  0.81347 -1.33826 -1.90211 -0.20906  1.73205  1.61803 -0.41582 -1.95630 -1.17557  1.00000  1.98904  0.61803 -1.48629 -1.82709  0.00000  1.82709  1.48629 -0.61803 -1.98904 -1.00000  1.17557  1.95630  0.41582 -1.61803 -1.73205  0.20906  1.90211  1.33826 -0.81347 -2.00000 -2.00000  0.81347 -1.33826 -1.90211 -0.20906  1.73205  1.61803 -0.41582 -1.95630 -1.17557  1.00000  1.98904  0.61803 -1.48629 -1.82709  0.00000  1.82709  1.48629 -0.61803 -1.98904 -1.00000  1.17557  1.95630  0.41582 -1.61803 -1.73205  0.20906  1.90211  1.33826 -0.81347  2.00000     ... ... ..... ....... ......... ........... .............
E12u *  2.00000  0.61803 -1.61803 -1.61803  0.61803  2.00000  0.61803 -1.61803 -1.61803  0.61803  2.00000  0.61803 -1.61803 -1.61803  0.61803  2.00000  0.61803 -1.61803 -1.61803  0.61803  2.00000  0.61803 -1.61803 -1.61803  0.61803  2.00000  0.61803 -1.61803 -1.61803  0.61803  2.00000 -2.00000 -0.61803  1.61803  1.61803 -0.61803 -2.00000 -0.61803  1.61803  1.61803 -0.61803 -2.00000 -0.61803  1.61803  1.61803 -0.61803 -2.00000 -0.61803  1.61803  1.61803 -0.61803 -2.00000 -0.61803  1.61803  1.61803 -0.61803 -2.00000 -0.61803  1.61803  1.61803 -0.61803 -2.00000     ... ... ..... ....... ......... ........... .............
E13u *  2.00000  0.41582 -1.82709 -1.17557  1.33826  1.73205 -0.61803 -1.98904 -0.20906  1.90211  1.00000 -1.48629 -1.61803  0.81347  1.95630  0.00000 -1.95630 -0.81347  1.61803  1.48629 -1.00000 -1.90211  0.20906  1.98904  0.61803 -1.73205 -1.33826  1.17557  1.82709 -0.41582 -2.00000 -2.00000  0.41582 -1.82709 -1.17557  1.33826  1.73205 -0.61803 -1.98904 -0.20906  1.90211  1.00000 -1.48629 -1.61803  0.81347  1.95630  0.00000 -1.95630 -0.81347  1.61803  1.48629 -1.00000 -1.90211  0.20906  1.98904  0.61803 -1.73205 -1.33826  1.17557  1.82709 -0.41582  2.00000     ... ... ..... ....... ......... ........... .............
E14u *  2.00000  0.20906 -1.95630 -0.61803  1.82709  1.00000 -1.61803 -1.33826  1.33826  1.61803 -1.00000 -1.82709  0.61803  1.95630 -0.20906 -2.00000 -0.20906  1.95630  0.61803 -1.82709 -1.00000  1.61803  1.33826 -1.33826 -1.61803  1.00000  1.82709 -0.61803 -1.95630  0.20906  2.00000 -2.00000 -0.20906  1.95630  0.61803 -1.82709 -1.00000  1.61803  1.33826 -1.33826 -1.61803  1.00000  1.82709 -0.61803 -1.95630  0.20906  2.00000  0.20906 -1.95630 -0.61803  1.82709  1.00000 -1.61803 -1.33826  1.33826  1.61803 -1.00000 -1.82709  0.61803  1.95630 -0.20906 -2.00000     ... ... ..... ....... ......... ........... .............
E15u *  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000 -2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000 -2.00000  0.00000  2.00000  0.00000  2.00000     ... ... ..... ....... ......... ........... .............
E16u *  2.00000 -0.20906 -1.95630  0.61803  1.82709 -1.00000 -1.61803  1.33826  1.33826 -1.61803 -1.00000  1.82709  0.61803 -1.95630 -0.20906  2.00000 -0.20906 -1.95630  0.61803  1.82709 -1.00000 -1.61803  1.33826  1.33826 -1.61803 -1.00000  1.82709  0.61803 -1.95630 -0.20906  2.00000 -2.00000  0.20906  1.95630 -0.61803 -1.82709  1.00000  1.61803 -1.33826 -1.33826  1.61803  1.00000 -1.82709 -0.61803  1.95630  0.20906 -2.00000  0.20906  1.95630 -0.61803 -1.82709  1.00000  1.61803 -1.33826 -1.33826  1.61803  1.00000 -1.82709 -0.61803  1.95630  0.20906 -2.00000     ... ... ..... ....... ......... ........... .............
E17u *  2.00000 -0.41582 -1.82709  1.17557  1.33826 -1.73205 -0.61803  1.98904 -0.20906 -1.90211  1.00000  1.48629 -1.61803 -0.81347  1.95630  0.00000 -1.95630  0.81347  1.61803 -1.48629 -1.00000  1.90211  0.20906 -1.98904  0.61803  1.73205 -1.33826 -1.17557  1.82709  0.41582 -2.00000 -2.00000 -0.41582 -1.82709  1.17557  1.33826 -1.73205 -0.61803  1.98904 -0.20906 -1.90211  1.00000  1.48629 -1.61803 -0.81347  1.95630  0.00000 -1.95630  0.81347  1.61803 -1.48629 -1.00000  1.90211  0.20906 -1.98904  0.61803  1.73205 -1.33826 -1.17557  1.82709  0.41582  2.00000     ... ... ..... ....... ......... ........... .............
E18u *  2.00000 -0.61803 -1.61803  1.61803  0.61803 -2.00000  0.61803  1.61803 -1.61803 -0.61803  2.00000 -0.61803 -1.61803  1.61803  0.61803 -2.00000  0.61803  1.61803 -1.61803 -0.61803  2.00000 -0.61803 -1.61803  1.61803  0.61803 -2.00000  0.61803  1.61803 -1.61803 -0.61803  2.00000 -2.00000  0.61803  1.61803 -1.61803 -0.61803  2.00000 -0.61803 -1.61803  1.61803  0.61803 -2.00000  0.61803  1.61803 -1.61803 -0.61803  2.00000 -0.61803 -1.61803  1.61803  0.61803 -2.00000  0.61803  1.61803 -1.61803 -0.61803  2.00000 -0.61803 -1.61803  1.61803  0.61803 -2.00000     ... ... ..... ....... ......... ........... .............
E19u *  2.00000 -0.81347 -1.33826  1.90211 -0.20906 -1.73205  1.61803  0.41582 -1.95630  1.17557  1.00000 -1.98904  0.61803  1.48629 -1.82709  0.00000  1.82709 -1.48629 -0.61803  1.98904 -1.00000 -1.17557  1.95630 -0.41582 -1.61803  1.73205  0.20906 -1.90211  1.33826  0.81347 -2.00000 -2.00000 -0.81347 -1.33826  1.90211 -0.20906 -1.73205  1.61803  0.41582 -1.95630  1.17557  1.00000 -1.98904  0.61803  1.48629 -1.82709  0.00000  1.82709 -1.48629 -0.61803  1.98904 -1.00000 -1.17557  1.95630 -0.41582 -1.61803  1.73205  0.20906 -1.90211  1.33826  0.81347  2.00000     ... ... ..... ....... ......... ........... .............
E20u *  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000     ... ... ..... ....... ......... ........... .............
E21u *  2.00000 -1.17557 -0.61803  1.90211 -1.61803  0.00000  1.61803 -1.90211  0.61803  1.17557 -2.00000  1.17557  0.61803 -1.90211  1.61803  0.00000 -1.61803  1.90211 -0.61803 -1.17557  2.00000 -1.17557 -0.61803  1.90211 -1.61803  0.00000  1.61803 -1.90211  0.61803  1.17557 -2.00000 -2.00000 -1.17557 -0.61803  1.90211 -1.61803  0.00000  1.61803 -1.90211  0.61803  1.17557 -2.00000  1.17557  0.61803 -1.90211  1.61803  0.00000 -1.61803  1.90211 -0.61803 -1.17557  2.00000 -1.17557 -0.61803  1.90211 -1.61803  0.00000  1.61803 -1.90211  0.61803  1.17557  2.00000     ... ... ..... ....... ......... ........... .............
E22u *  2.00000 -1.33826 -0.20906  1.61803 -1.95630  1.00000  0.61803 -1.82709  1.82709 -0.61803 -1.00000  1.95630 -1.61803  0.20906  1.33826 -2.00000  1.33826  0.20906 -1.61803  1.95630 -1.00000 -0.61803  1.82709 -1.82709  0.61803  1.00000 -1.95630  1.61803 -0.20906 -1.33826  2.00000 -2.00000  1.33826  0.20906 -1.61803  1.95630 -1.00000 -0.61803  1.82709 -1.82709  0.61803  1.00000 -1.95630  1.61803 -0.20906 -1.33826  2.00000 -1.33826 -0.20906  1.61803 -1.95630  1.00000  0.61803 -1.82709  1.82709 -0.61803 -1.00000  1.95630 -1.61803  0.20906  1.33826 -2.00000     ... ... ..... ....... ......... ........... .............
E23u *  2.00000 -1.48629  0.20906  1.17557 -1.95630  1.73205 -0.61803 -0.81347  1.82709 -1.90211  1.00000  0.41582 -1.61803  1.98904 -1.33826  0.00000  1.33826 -1.98904  1.61803 -0.41582 -1.00000  1.90211 -1.82709  0.81347  0.61803 -1.73205  1.95630 -1.17557 -0.20906  1.48629 -2.00000 -2.00000 -1.48629  0.20906  1.17557 -1.95630  1.73205 -0.61803 -0.81347  1.82709 -1.90211  1.00000  0.41582 -1.61803  1.98904 -1.33826  0.00000  1.33826 -1.98904  1.61803 -0.41582 -1.00000  1.90211 -1.82709  0.81347  0.61803 -1.73205  1.95630 -1.17557 -0.20906  1.48629  2.00000     ... ... ..... ....... ......... ........... .............
E24u *  2.00000 -1.61803  0.61803  0.61803 -1.61803  2.00000 -1.61803  0.61803  0.61803 -1.61803  2.00000 -1.61803  0.61803  0.61803 -1.61803  2.00000 -1.61803  0.61803  0.61803 -1.61803  2.00000 -1.61803  0.61803  0.61803 -1.61803  2.00000 -1.61803  0.61803  0.61803 -1.61803  2.00000 -2.00000  1.61803 -0.61803 -0.61803  1.61803 -2.00000  1.61803 -0.61803 -0.61803  1.61803 -2.00000  1.61803 -0.61803 -0.61803  1.61803 -2.00000  1.61803 -0.61803 -0.61803  1.61803 -2.00000  1.61803 -0.61803 -0.61803  1.61803 -2.00000  1.61803 -0.61803 -0.61803  1.61803 -2.00000     ... ... ..... ....... ......... ........... .............
E25u *  2.00000 -1.73205  1.00000  0.00000 -1.00000  1.73205 -2.00000  1.73205 -1.00000  0.00000  1.00000 -1.73205  2.00000 -1.73205  1.00000  0.00000 -1.00000  1.73205 -2.00000  1.73205 -1.00000  0.00000  1.00000 -1.73205  2.00000 -1.73205  1.00000  0.00000 -1.00000  1.73205 -2.00000 -2.00000 -1.73205  1.00000  0.00000 -1.00000  1.73205 -2.00000  1.73205 -1.00000  0.00000  1.00000 -1.73205  2.00000 -1.73205  1.00000  0.00000 -1.00000  1.73205 -2.00000  1.73205 -1.00000  0.00000  1.00000 -1.73205  2.00000 -1.73205  1.00000  0.00000 -1.00000  1.73205  2.00000     ... ... ..... ....... ......... ........... .............
E26u *  2.00000 -1.82709  1.33826 -0.61803 -0.20906  1.00000 -1.61803  1.95630 -1.95630  1.61803 -1.00000  0.20906  0.61803 -1.33826  1.82709 -2.00000  1.82709 -1.33826  0.61803  0.20906 -1.00000  1.61803 -1.95630  1.95630 -1.61803  1.00000 -0.20906 -0.61803  1.33826 -1.82709  2.00000 -2.00000  1.82709 -1.33826  0.61803  0.20906 -1.00000  1.61803 -1.95630  1.95630 -1.61803  1.00000 -0.20906 -0.61803  1.33826 -1.82709  2.00000 -1.82709  1.33826 -0.61803 -0.20906  1.00000 -1.61803  1.95630 -1.95630  1.61803 -1.00000  0.20906  0.61803 -1.33826  1.82709 -2.00000     ... ... ..... ....... ......... ........... .............
E27u *  2.00000 -1.90211  1.61803 -1.17557  0.61803  0.00000 -0.61803  1.17557 -1.61803  1.90211 -2.00000  1.90211 -1.61803  1.17557 -0.61803  0.00000  0.61803 -1.17557  1.61803 -1.90211  2.00000 -1.90211  1.61803 -1.17557  0.61803  0.00000 -0.61803  1.17557 -1.61803  1.90211 -2.00000 -2.00000 -1.90211  1.61803 -1.17557  0.61803  0.00000 -0.61803  1.17557 -1.61803  1.90211 -2.00000  1.90211 -1.61803  1.17557 -0.61803  0.00000  0.61803 -1.17557  1.61803 -1.90211  2.00000 -1.90211  1.61803 -1.17557  0.61803  0.00000 -0.61803  1.17557 -1.61803  1.90211  2.00000     ... ... ..... ....... ......... ........... .............
E28u *  2.00000 -1.95630  1.82709 -1.61803  1.33826 -1.00000  0.61803 -0.20906 -0.20906  0.61803 -1.00000  1.33826 -1.61803  1.82709 -1.95630  2.00000 -1.95630  1.82709 -1.61803  1.33826 -1.00000  0.61803 -0.20906 -0.20906  0.61803 -1.00000  1.33826 -1.61803  1.82709 -1.95630  2.00000 -2.00000  1.95630 -1.82709  1.61803 -1.33826  1.00000 -0.61803  0.20906  0.20906 -0.61803  1.00000 -1.33826  1.61803 -1.82709  1.95630 -2.00000  1.95630 -1.82709  1.61803 -1.33826  1.00000 -0.61803  0.20906  0.20906 -0.61803  1.00000 -1.33826  1.61803 -1.82709  1.95630 -2.00000     ... ... ..... ....... ......... ........... .............
E29u *  2.00000 -1.98904  1.95630 -1.90211  1.82709 -1.73205  1.61803 -1.48629  1.33826 -1.17557  1.00000 -0.81347  0.61803 -0.41582  0.20906  0.00000 -0.20906  0.41582 -0.61803  0.81347 -1.00000  1.17557 -1.33826  1.48629 -1.61803  1.73205 -1.82709  1.90211 -1.95630  1.98904 -2.00000 -2.00000 -1.98904  1.95630 -1.90211  1.82709 -1.73205  1.61803 -1.48629  1.33826 -1.17557  1.00000 -0.81347  0.61803 -0.41582  0.20906  0.00000 -0.20906  0.41582 -0.61803  0.81347 -1.00000  1.17557 -1.33826  1.48629 -1.61803  1.73205 -1.82709  1.90211 -1.95630  1.98904  2.00000     ... ... ..... ....... ......... ........... .............

 Irrational character values:  1.989043790737 = 2*cos(2*π/60) = 2*cos(π/30) = (√15+√3+√10−2*√5)/4
                               1.956295201468 = 2*cos(4*π/60) = 2*cos(π/15) = (√5−1+√30+6*√5)/4
                               1.902113032590 = 2*cos(6*π/60) = 2*cos(π/10) = (√10+2*√5)/2
                               1.827090915285 = 2*cos(8*π/60) = 2*cos(2*π/15) = (1+√5+√30−6*√5)/4
                               1.732050807569 = 2*cos(10*π/60) = 2*cos(π/6) = √3
                               1.618033988750 = 2*cos(12*π/60) = 2*cos(π/5) = (√5+1)/2
                               1.486289650955 = 2*cos(14*π/60) = 2*cos(7*π/30) = (√15−√3+√10+2*√5)/4
                               1.338261212718 = 2*cos(16*π/60) = 2*cos(4*π/15) = (1−√5+√30+6*√5)/4
                               1.175570504585 = 2*cos(18*π/60) = 2*cos(3*π/10) = (√10−2*√5)/2
                               0.813473286152 = 2*cos(22*π/60) = 2*cos(11*π/30) = (√15+√3−√10−2*√5)/4
                               0.618033988750 = 2*cos(24*π/60) = 2*cos(2*π/5) = (√5−1)/2
                               0.415823381636 = 2*cos(26*π/60) = 2*cos(13*π/30) = (√3−√15+√10+2*√5)/4
                               0.209056926535 = 2*cos(28*π/60) = 2*cos(7*π/15) = (√30−6*√5−√5−1)/4



 Symmetry of Rotations and Cartesian products

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

 Notes:

    α  The order of the C60h point group is 120, and the order of the principal axis (C60) is 60. The group has 62 irreducible representations.

    β  The C60h point group is generated by two symmetry elements, which are canonically chosen as C60 and i.
       Other possible choices are C60 and σh, or less commonly S60 with either i or σh.

    γ  The lowest nonvanishing multipole moment in C60h is 4 (quadrupole moment).

    δ  This is an Abelian point group (the commutative law holds between all symmetry operations).
       The C60h group is Abelian because all its symmetry operations are coaxial. This is a sufficient condition.
       In Abelian groups, all symmetry operations form a class of their own, and all irreducible representations are one-dimensional.

    ε  Because the group is Abelian and the maximum order of rotation is >2, some irreducible representations have complex characters.
       These 116 cases have been combined into 58 two-dimensional representations that are no longer irreducible but have real-valued characters.
       Accordingly, 58 pairs of left and right rotations have been combined into one two-membered pseudo-class each.

    ζ  The 58 reducible “E” representations almost behave like true irreducible representations.
       Their norm, however, is twice the group order. Therefore, they have been marked with an asterisk in the table.
       This is essential when trying to decompose a reducible representation into “irreducible” ones using the familiar projection formula.

    η  Some of the characters in the table are irrational because the order of the principal axis is neither 1,2,3,4 nor 6.
       These irrational values can be expressed as cosine values, or as solutions of algebraic equations with a leading coefficient of 1.
       All characters are algebraic integers of a degree much less than half the order of the principal axis.

    θ  The point group corresponds to a constructible polygon, as the order of the principal axis is a product of any number
       of different Fermat primes (3,5,17,257,65537) times an arbitrary power of two. Therefore, all characters have an
       algebraic degree which is a power of two and can be expressed as radicals involving only square roots and integer numbers.

    ι  The fact that the regular pentagon is constructible is known since antiquity; Eukleides already discovered a construction for it.
       The double cosine of 2π/5 is equal to the reciprocal of the Golden Ratio of (1+√5)/2 = 1.61803.
       Regular polygons of order 30,60,120 etc. are derived from the pentagon by overlaying it with a triangle and successive halving of angles.

This Character Table for the C60h point group was created by Gernot Katzer.

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