Character table for the C90h point group

C90h     E        2 C90    2 C45    2 C30    2 C45^2  2 C18    2 C15    2 C90^7  2 C45^4  2 C10    2 C9     2 C90^11 2 C15^2  2 C90^13 2 C45^7  2 C6     2 C45^8  2 C90^17 2 C5     2 C90^19 2 C9^2   2 C30^7  2 C45^11 2 C90^23 2 C15^4  2 C18^5  2 C45^13 2 C10^3  2 C45^14 2 C90^29 2 C3     2 C90^31 2 C45^16 2 C30^11 2 C45^17 2 C18^7  2 C5^2   2 C90^37 2 C45^19 2 C30^13 2 C9^4   2 C90^41 2 C15^7  2 C90^43 2 C45^22 C2       i        2 S90    2 S45    2 S30    2 S45^2  2 S18    2 S15    2 S90^7  2 S45^4  2 S10    2 S9     2 S90^11 2 S15^2  2 S90^13 2 S45^7  2 S6     2 S45^8  2 S90^17 2 S5     2 S90^19 2 S9^2   2 S30^7  2 S45^11 2 S90^23 2 S15^4  2 S18^5  2 S45^13 2 S10^3  2 S45^14 2 S90^29 2 S3     2 S90^31 2 S45^16 2 S30^11 2 S45^17 2 S18^7  2 S5^2   2 S90^37 2 S45^19 2 S30^13 2 S9^4   2 S90^41 2 S15^7  2 S90^43 2 S45^22 sh         <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> 
Ag      1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000     ..T ... ....T ....... ........T ........... ............T
Bg      1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000 -1.00000     ... ... ..... ....... ......... ........... .............
E1g  *  2.00000  1.99513  1.98054  1.95630  1.92252  1.87939  1.82709  1.76590  1.69610  1.61803  1.53209  1.43868  1.33826  1.23132  1.11839  1.00000  0.87674  0.74921  0.61803  0.48384  0.34730  0.20906  0.06980 -0.06980 -0.20906 -0.34730 -0.48384 -0.61803 -0.74921 -0.87674 -1.00000 -1.11839 -1.23132 -1.33826 -1.43868 -1.53209 -1.61803 -1.69610 -1.76590 -1.82709 -1.87939 -1.92252 -1.95630 -1.98054 -1.99513 -2.00000  2.00000 -1.99513 -1.98054 -1.95630 -1.92252 -1.87939 -1.82709 -1.76590 -1.69610 -1.61803 -1.53209 -1.43868 -1.33826 -1.23132 -1.11839 -1.00000 -0.87674 -0.74921 -0.61803 -0.48384 -0.34730 -0.20906 -0.06980  0.06980  0.20906  0.34730  0.48384  0.61803  0.74921  0.87674  1.00000  1.11839  1.23132  1.33826  1.43868  1.53209  1.61803  1.69610  1.76590  1.82709  1.87939  1.92252  1.95630  1.98054  1.99513 -2.00000     TT. ... ..TT. ....... ......TT. ........... ..........TT.
E2g  *  2.00000  1.98054  1.92252  1.82709  1.69610  1.53209  1.33826  1.11839  0.87674  0.61803  0.34730  0.06980 -0.20906 -0.48384 -0.74921 -1.00000 -1.23132 -1.43868 -1.61803 -1.76590 -1.87939 -1.95630 -1.99513 -1.99513 -1.95630 -1.87939 -1.76590 -1.61803 -1.43868 -1.23132 -1.00000 -0.74921 -0.48384 -0.20906  0.06980  0.34730  0.61803  0.87674  1.11839  1.33826  1.53209  1.69610  1.82709  1.92252  1.98054  2.00000  2.00000  1.98054  1.92252  1.82709  1.69610  1.53209  1.33826  1.11839  0.87674  0.61803  0.34730  0.06980 -0.20906 -0.48384 -0.74921 -1.00000 -1.23132 -1.43868 -1.61803 -1.76590 -1.87939 -1.95630 -1.99513 -1.99513 -1.95630 -1.87939 -1.76590 -1.61803 -1.43868 -1.23132 -1.00000 -0.74921 -0.48384 -0.20906  0.06980  0.34730  0.61803  0.87674  1.11839  1.33826  1.53209  1.69610  1.82709  1.92252  1.98054  2.00000     ... ... TT... ....... ....TT... ........... ........TT...
E3g  *  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  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 -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.....
E4g  *  2.00000  1.92252  1.69610  1.33826  0.87674  0.34730 -0.20906 -0.74921 -1.23132 -1.61803 -1.87939 -1.99513 -1.95630 -1.76590 -1.43868 -1.00000 -0.48384  0.06980  0.61803  1.11839  1.53209  1.82709  1.98054  1.98054  1.82709  1.53209  1.11839  0.61803  0.06980 -0.48384 -1.00000 -1.43868 -1.76590 -1.95630 -1.99513 -1.87939 -1.61803 -1.23132 -0.74921 -0.20906  0.34730  0.87674  1.33826  1.69610  1.92252  2.00000  2.00000  1.92252  1.69610  1.33826  0.87674  0.34730 -0.20906 -0.74921 -1.23132 -1.61803 -1.87939 -1.99513 -1.95630 -1.76590 -1.43868 -1.00000 -0.48384  0.06980  0.61803  1.11839  1.53209  1.82709  1.98054  1.98054  1.82709  1.53209  1.11839  0.61803  0.06980 -0.48384 -1.00000 -1.43868 -1.76590 -1.95630 -1.99513 -1.87939 -1.61803 -1.23132 -0.74921 -0.20906  0.34730  0.87674  1.33826  1.69610  1.92252  2.00000     ... ... ..... ....... TT....... ........... ....TT.......
E5g  *  2.00000  1.87939  1.53209  1.00000  0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730  0.34730  1.00000  1.53209  1.87939  2.00000  1.87939  1.53209  1.00000  0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730  0.34730  1.00000  1.53209  1.87939  2.00000  1.87939  1.53209  1.00000  0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000  2.00000 -1.87939 -1.53209 -1.00000 -0.34730  0.34730  1.00000  1.53209  1.87939  2.00000  1.87939  1.53209  1.00000  0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730  0.34730  1.00000  1.53209  1.87939  2.00000  1.87939  1.53209  1.00000  0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730  0.34730  1.00000  1.53209  1.87939 -2.00000     ... ... ..... ....... ......... ........... ..TT.........
E6g  *  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  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  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...........
E7g  *  2.00000  1.76590  1.11839  0.20906 -0.74921 -1.53209 -1.95630 -1.92252 -1.43868 -0.61803  0.34730  1.23132  1.82709  1.99513  1.69610  1.00000  0.06980 -0.87674 -1.61803 -1.98054 -1.87939 -1.33826 -0.48384  0.48384  1.33826  1.87939  1.98054  1.61803  0.87674 -0.06980 -1.00000 -1.69610 -1.99513 -1.82709 -1.23132 -0.34730  0.61803  1.43868  1.92252  1.95630  1.53209  0.74921 -0.20906 -1.11839 -1.76590 -2.00000  2.00000 -1.76590 -1.11839 -0.20906  0.74921  1.53209  1.95630  1.92252  1.43868  0.61803 -0.34730 -1.23132 -1.82709 -1.99513 -1.69610 -1.00000 -0.06980  0.87674  1.61803  1.98054  1.87939  1.33826  0.48384 -0.48384 -1.33826 -1.87939 -1.98054 -1.61803 -0.87674  0.06980  1.00000  1.69610  1.99513  1.82709  1.23132  0.34730 -0.61803 -1.43868 -1.92252 -1.95630 -1.53209 -0.74921  0.20906  1.11839  1.76590 -2.00000     ... ... ..... ....... ......... ........... .............
E8g  *  2.00000  1.69610  0.87674 -0.20906 -1.23132 -1.87939 -1.95630 -1.43868 -0.48384  0.61803  1.53209  1.98054  1.82709  1.11839  0.06980 -1.00000 -1.76590 -1.99513 -1.61803 -0.74921  0.34730  1.33826  1.92252  1.92252  1.33826  0.34730 -0.74921 -1.61803 -1.99513 -1.76590 -1.00000  0.06980  1.11839  1.82709  1.98054  1.53209  0.61803 -0.48384 -1.43868 -1.95630 -1.87939 -1.23132 -0.20906  0.87674  1.69610  2.00000  2.00000  1.69610  0.87674 -0.20906 -1.23132 -1.87939 -1.95630 -1.43868 -0.48384  0.61803  1.53209  1.98054  1.82709  1.11839  0.06980 -1.00000 -1.76590 -1.99513 -1.61803 -0.74921  0.34730  1.33826  1.92252  1.92252  1.33826  0.34730 -0.74921 -1.61803 -1.99513 -1.76590 -1.00000  0.06980  1.11839  1.82709  1.98054  1.53209  0.61803 -0.48384 -1.43868 -1.95630 -1.87939 -1.23132 -0.20906  0.87674  1.69610  2.00000     ... ... ..... ....... ......... ........... .............
E9g  *  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  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 -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     ... ... ..... ....... ......... ........... .............
E10g *  2.00000  1.53209  0.34730 -1.00000 -1.87939 -1.87939 -1.00000  0.34730  1.53209  2.00000  1.53209  0.34730 -1.00000 -1.87939 -1.87939 -1.00000  0.34730  1.53209  2.00000  1.53209  0.34730 -1.00000 -1.87939 -1.87939 -1.00000  0.34730  1.53209  2.00000  1.53209  0.34730 -1.00000 -1.87939 -1.87939 -1.00000  0.34730  1.53209  2.00000  1.53209  0.34730 -1.00000 -1.87939 -1.87939 -1.00000  0.34730  1.53209  2.00000  2.00000  1.53209  0.34730 -1.00000 -1.87939 -1.87939 -1.00000  0.34730  1.53209  2.00000  1.53209  0.34730 -1.00000 -1.87939 -1.87939 -1.00000  0.34730  1.53209  2.00000  1.53209  0.34730 -1.00000 -1.87939 -1.87939 -1.00000  0.34730  1.53209  2.00000  1.53209  0.34730 -1.00000 -1.87939 -1.87939 -1.00000  0.34730  1.53209  2.00000  1.53209  0.34730 -1.00000 -1.87939 -1.87939 -1.00000  0.34730  1.53209  2.00000     ... ... ..... ....... ......... ........... .............
E11g *  2.00000  1.43868  0.06980 -1.33826 -1.99513 -1.53209 -0.20906  1.23132  1.98054  1.61803  0.34730 -1.11839 -1.95630 -1.69610 -0.48384  1.00000  1.92252  1.76590  0.61803 -0.87674 -1.87939 -1.82709 -0.74921  0.74921  1.82709  1.87939  0.87674 -0.61803 -1.76590 -1.92252 -1.00000  0.48384  1.69610  1.95630  1.11839 -0.34730 -1.61803 -1.98054 -1.23132  0.20906  1.53209  1.99513  1.33826 -0.06980 -1.43868 -2.00000  2.00000 -1.43868 -0.06980  1.33826  1.99513  1.53209  0.20906 -1.23132 -1.98054 -1.61803 -0.34730  1.11839  1.95630  1.69610  0.48384 -1.00000 -1.92252 -1.76590 -0.61803  0.87674  1.87939  1.82709  0.74921 -0.74921 -1.82709 -1.87939 -0.87674  0.61803  1.76590  1.92252  1.00000 -0.48384 -1.69610 -1.95630 -1.11839  0.34730  1.61803  1.98054  1.23132 -0.20906 -1.53209 -1.99513 -1.33826  0.06980  1.43868 -2.00000     ... ... ..... ....... ......... ........... .............
E12g *  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  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  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     ... ... ..... ....... ......... ........... .............
E13g *  2.00000  1.23132 -0.48384 -1.82709 -1.76590 -0.34730  1.33826  1.99513  1.11839 -0.61803 -1.87939 -1.69610 -0.20906  1.43868  1.98054  1.00000 -0.74921 -1.92252 -1.61803 -0.06980  1.53209  1.95630  0.87674 -0.87674 -1.95630 -1.53209  0.06980  1.61803  1.92252  0.74921 -1.00000 -1.98054 -1.43868  0.20906  1.69610  1.87939  0.61803 -1.11839 -1.99513 -1.33826  0.34730  1.76590  1.82709  0.48384 -1.23132 -2.00000  2.00000 -1.23132  0.48384  1.82709  1.76590  0.34730 -1.33826 -1.99513 -1.11839  0.61803  1.87939  1.69610  0.20906 -1.43868 -1.98054 -1.00000  0.74921  1.92252  1.61803  0.06980 -1.53209 -1.95630 -0.87674  0.87674  1.95630  1.53209 -0.06980 -1.61803 -1.92252 -0.74921  1.00000  1.98054  1.43868 -0.20906 -1.69610 -1.87939 -0.61803  1.11839  1.99513  1.33826 -0.34730 -1.76590 -1.82709 -0.48384  1.23132 -2.00000     ... ... ..... ....... ......... ........... .............
E14g *  2.00000  1.11839 -0.74921 -1.95630 -1.43868  0.34730  1.82709  1.69610  0.06980 -1.61803 -1.87939 -0.48384  1.33826  1.98054  0.87674 -1.00000 -1.99513 -1.23132  0.61803  1.92252  1.53209 -0.20906 -1.76590 -1.76590 -0.20906  1.53209  1.92252  0.61803 -1.23132 -1.99513 -1.00000  0.87674  1.98054  1.33826 -0.48384 -1.87939 -1.61803  0.06980  1.69610  1.82709  0.34730 -1.43868 -1.95630 -0.74921  1.11839  2.00000  2.00000  1.11839 -0.74921 -1.95630 -1.43868  0.34730  1.82709  1.69610  0.06980 -1.61803 -1.87939 -0.48384  1.33826  1.98054  0.87674 -1.00000 -1.99513 -1.23132  0.61803  1.92252  1.53209 -0.20906 -1.76590 -1.76590 -0.20906  1.53209  1.92252  0.61803 -1.23132 -1.99513 -1.00000  0.87674  1.98054  1.33826 -0.48384 -1.87939 -1.61803  0.06980  1.69610  1.82709  0.34730 -1.43868 -1.95630 -0.74921  1.11839  2.00000     ... ... ..... ....... ......... ........... .............
E15g *  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 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000  2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000 -2.00000     ... ... ..... ....... ......... ........... .............
E16g *  2.00000  0.87674 -1.23132 -1.95630 -0.48384  1.53209  1.82709  0.06980 -1.76590 -1.61803  0.34730  1.92252  1.33826 -0.74921 -1.99513 -1.00000  1.11839  1.98054  0.61803 -1.43868 -1.87939 -0.20906  1.69610  1.69610 -0.20906 -1.87939 -1.43868  0.61803  1.98054  1.11839 -1.00000 -1.99513 -0.74921  1.33826  1.92252  0.34730 -1.61803 -1.76590  0.06980  1.82709  1.53209 -0.48384 -1.95630 -1.23132  0.87674  2.00000  2.00000  0.87674 -1.23132 -1.95630 -0.48384  1.53209  1.82709  0.06980 -1.76590 -1.61803  0.34730  1.92252  1.33826 -0.74921 -1.99513 -1.00000  1.11839  1.98054  0.61803 -1.43868 -1.87939 -0.20906  1.69610  1.69610 -0.20906 -1.87939 -1.43868  0.61803  1.98054  1.11839 -1.00000 -1.99513 -0.74921  1.33826  1.92252  0.34730 -1.61803 -1.76590  0.06980  1.82709  1.53209 -0.48384 -1.95630 -1.23132  0.87674  2.00000     ... ... ..... ....... ......... ........... .............
E17g *  2.00000  0.74921 -1.43868 -1.82709  0.06980  1.87939  1.33826 -0.87674 -1.99513 -0.61803  1.53209  1.76590 -0.20906 -1.92252 -1.23132  1.00000  1.98054  0.48384 -1.61803 -1.69610  0.34730  1.95630  1.11839 -1.11839 -1.95630 -0.34730  1.69610  1.61803 -0.48384 -1.98054 -1.00000  1.23132  1.92252  0.20906 -1.76590 -1.53209  0.61803  1.99513  0.87674 -1.33826 -1.87939 -0.06980  1.82709  1.43868 -0.74921 -2.00000  2.00000 -0.74921  1.43868  1.82709 -0.06980 -1.87939 -1.33826  0.87674  1.99513  0.61803 -1.53209 -1.76590  0.20906  1.92252  1.23132 -1.00000 -1.98054 -0.48384  1.61803  1.69610 -0.34730 -1.95630 -1.11839  1.11839  1.95630  0.34730 -1.69610 -1.61803  0.48384  1.98054  1.00000 -1.23132 -1.92252 -0.20906  1.76590  1.53209 -0.61803 -1.99513 -0.87674  1.33826  1.87939  0.06980 -1.82709 -1.43868  0.74921 -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  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  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  0.48384 -1.76590 -1.33826  1.11839  1.87939 -0.20906 -1.98054 -0.74921  1.61803  1.53209 -0.87674 -1.95630 -0.06980  1.92252  1.00000 -1.43868 -1.69610  0.61803  1.99513  0.34730 -1.82709 -1.23132  1.23132  1.82709 -0.34730 -1.99513 -0.61803  1.69610  1.43868 -1.00000 -1.92252  0.06980  1.95630  0.87674 -1.53209 -1.61803  0.74921  1.98054  0.20906 -1.87939 -1.11839  1.33826  1.76590 -0.48384 -2.00000  2.00000 -0.48384  1.76590  1.33826 -1.11839 -1.87939  0.20906  1.98054  0.74921 -1.61803 -1.53209  0.87674  1.95630  0.06980 -1.92252 -1.00000  1.43868  1.69610 -0.61803 -1.99513 -0.34730  1.82709  1.23132 -1.23132 -1.82709  0.34730  1.99513  0.61803 -1.69610 -1.43868  1.00000  1.92252 -0.06980 -1.95630 -0.87674  1.53209  1.61803 -0.74921 -1.98054 -0.20906  1.87939  1.11839 -1.33826 -1.76590  0.48384 -2.00000     ... ... ..... ....... ......... ........... .............
E20g *  2.00000  0.34730 -1.87939 -1.00000  1.53209  1.53209 -1.00000 -1.87939  0.34730  2.00000  0.34730 -1.87939 -1.00000  1.53209  1.53209 -1.00000 -1.87939  0.34730  2.00000  0.34730 -1.87939 -1.00000  1.53209  1.53209 -1.00000 -1.87939  0.34730  2.00000  0.34730 -1.87939 -1.00000  1.53209  1.53209 -1.00000 -1.87939  0.34730  2.00000  0.34730 -1.87939 -1.00000  1.53209  1.53209 -1.00000 -1.87939  0.34730  2.00000  2.00000  0.34730 -1.87939 -1.00000  1.53209  1.53209 -1.00000 -1.87939  0.34730  2.00000  0.34730 -1.87939 -1.00000  1.53209  1.53209 -1.00000 -1.87939  0.34730  2.00000  0.34730 -1.87939 -1.00000  1.53209  1.53209 -1.00000 -1.87939  0.34730  2.00000  0.34730 -1.87939 -1.00000  1.53209  1.53209 -1.00000 -1.87939  0.34730  2.00000  0.34730 -1.87939 -1.00000  1.53209  1.53209 -1.00000 -1.87939  0.34730  2.00000     ... ... ..... ....... ......... ........... .............
E21g *  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  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 -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     ... ... ..... ....... ......... ........... .............
E22g *  2.00000  0.06980 -1.99513 -0.20906  1.98054  0.34730 -1.95630 -0.48384  1.92252  0.61803 -1.87939 -0.74921  1.82709  0.87674 -1.76590 -1.00000  1.69610  1.11839 -1.61803 -1.23132  1.53209  1.33826 -1.43868 -1.43868  1.33826  1.53209 -1.23132 -1.61803  1.11839  1.69610 -1.00000 -1.76590  0.87674  1.82709 -0.74921 -1.87939  0.61803  1.92252 -0.48384 -1.95630  0.34730  1.98054 -0.20906 -1.99513  0.06980  2.00000  2.00000  0.06980 -1.99513 -0.20906  1.98054  0.34730 -1.95630 -0.48384  1.92252  0.61803 -1.87939 -0.74921  1.82709  0.87674 -1.76590 -1.00000  1.69610  1.11839 -1.61803 -1.23132  1.53209  1.33826 -1.43868 -1.43868  1.33826  1.53209 -1.23132 -1.61803  1.11839  1.69610 -1.00000 -1.76590  0.87674  1.82709 -0.74921 -1.87939  0.61803  1.92252 -0.48384 -1.95630  0.34730  1.98054 -0.20906 -1.99513  0.06980  2.00000     ... ... ..... ....... ......... ........... .............
E23g *  2.00000 -0.06980 -1.99513  0.20906  1.98054 -0.34730 -1.95630  0.48384  1.92252 -0.61803 -1.87939  0.74921  1.82709 -0.87674 -1.76590  1.00000  1.69610 -1.11839 -1.61803  1.23132  1.53209 -1.33826 -1.43868  1.43868  1.33826 -1.53209 -1.23132  1.61803  1.11839 -1.69610 -1.00000  1.76590  0.87674 -1.82709 -0.74921  1.87939  0.61803 -1.92252 -0.48384  1.95630  0.34730 -1.98054 -0.20906  1.99513  0.06980 -2.00000  2.00000  0.06980  1.99513 -0.20906 -1.98054  0.34730  1.95630 -0.48384 -1.92252  0.61803  1.87939 -0.74921 -1.82709  0.87674  1.76590 -1.00000 -1.69610  1.11839  1.61803 -1.23132 -1.53209  1.33826  1.43868 -1.43868 -1.33826  1.53209  1.23132 -1.61803 -1.11839  1.69610  1.00000 -1.76590 -0.87674  1.82709  0.74921 -1.87939 -0.61803  1.92252  0.48384 -1.95630 -0.34730  1.98054  0.20906 -1.99513 -0.06980 -2.00000     ... ... ..... ....... ......... ........... .............
E24g *  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 -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 -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     ... ... ..... ....... ......... ........... .............
E25g *  2.00000 -0.34730 -1.87939  1.00000  1.53209 -1.53209 -1.00000  1.87939  0.34730 -2.00000  0.34730  1.87939 -1.00000 -1.53209  1.53209  1.00000 -1.87939 -0.34730  2.00000 -0.34730 -1.87939  1.00000  1.53209 -1.53209 -1.00000  1.87939  0.34730 -2.00000  0.34730  1.87939 -1.00000 -1.53209  1.53209  1.00000 -1.87939 -0.34730  2.00000 -0.34730 -1.87939  1.00000  1.53209 -1.53209 -1.00000  1.87939  0.34730 -2.00000  2.00000  0.34730  1.87939 -1.00000 -1.53209  1.53209  1.00000 -1.87939 -0.34730  2.00000 -0.34730 -1.87939  1.00000  1.53209 -1.53209 -1.00000  1.87939  0.34730 -2.00000  0.34730  1.87939 -1.00000 -1.53209  1.53209  1.00000 -1.87939 -0.34730  2.00000 -0.34730 -1.87939  1.00000  1.53209 -1.53209 -1.00000  1.87939  0.34730 -2.00000  0.34730  1.87939 -1.00000 -1.53209  1.53209  1.00000 -1.87939 -0.34730 -2.00000     ... ... ..... ....... ......... ........... .............
E26g *  2.00000 -0.48384 -1.76590  1.33826  1.11839 -1.87939 -0.20906  1.98054 -0.74921 -1.61803  1.53209  0.87674 -1.95630  0.06980  1.92252 -1.00000 -1.43868  1.69610  0.61803 -1.99513  0.34730  1.82709 -1.23132 -1.23132  1.82709  0.34730 -1.99513  0.61803  1.69610 -1.43868 -1.00000  1.92252  0.06980 -1.95630  0.87674  1.53209 -1.61803 -0.74921  1.98054 -0.20906 -1.87939  1.11839  1.33826 -1.76590 -0.48384  2.00000  2.00000 -0.48384 -1.76590  1.33826  1.11839 -1.87939 -0.20906  1.98054 -0.74921 -1.61803  1.53209  0.87674 -1.95630  0.06980  1.92252 -1.00000 -1.43868  1.69610  0.61803 -1.99513  0.34730  1.82709 -1.23132 -1.23132  1.82709  0.34730 -1.99513  0.61803  1.69610 -1.43868 -1.00000  1.92252  0.06980 -1.95630  0.87674  1.53209 -1.61803 -0.74921  1.98054 -0.20906 -1.87939  1.11839  1.33826 -1.76590 -0.48384  2.00000     ... ... ..... ....... ......... ........... .............
E27g *  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 -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  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     ... ... ..... ....... ......... ........... .............
E28g *  2.00000 -0.74921 -1.43868  1.82709  0.06980 -1.87939  1.33826  0.87674 -1.99513  0.61803  1.53209 -1.76590 -0.20906  1.92252 -1.23132 -1.00000  1.98054 -0.48384 -1.61803  1.69610  0.34730 -1.95630  1.11839  1.11839 -1.95630  0.34730  1.69610 -1.61803 -0.48384  1.98054 -1.00000 -1.23132  1.92252 -0.20906 -1.76590  1.53209  0.61803 -1.99513  0.87674  1.33826 -1.87939  0.06980  1.82709 -1.43868 -0.74921  2.00000  2.00000 -0.74921 -1.43868  1.82709  0.06980 -1.87939  1.33826  0.87674 -1.99513  0.61803  1.53209 -1.76590 -0.20906  1.92252 -1.23132 -1.00000  1.98054 -0.48384 -1.61803  1.69610  0.34730 -1.95630  1.11839  1.11839 -1.95630  0.34730  1.69610 -1.61803 -0.48384  1.98054 -1.00000 -1.23132  1.92252 -0.20906 -1.76590  1.53209  0.61803 -1.99513  0.87674  1.33826 -1.87939  0.06980  1.82709 -1.43868 -0.74921  2.00000     ... ... ..... ....... ......... ........... .............
E29g *  2.00000 -0.87674 -1.23132  1.95630 -0.48384 -1.53209  1.82709 -0.06980 -1.76590  1.61803  0.34730 -1.92252  1.33826  0.74921 -1.99513  1.00000  1.11839 -1.98054  0.61803  1.43868 -1.87939  0.20906  1.69610 -1.69610 -0.20906  1.87939 -1.43868 -0.61803  1.98054 -1.11839 -1.00000  1.99513 -0.74921 -1.33826  1.92252 -0.34730 -1.61803  1.76590  0.06980 -1.82709  1.53209  0.48384 -1.95630  1.23132  0.87674 -2.00000  2.00000  0.87674  1.23132 -1.95630  0.48384  1.53209 -1.82709  0.06980  1.76590 -1.61803 -0.34730  1.92252 -1.33826 -0.74921  1.99513 -1.00000 -1.11839  1.98054 -0.61803 -1.43868  1.87939 -0.20906 -1.69610  1.69610  0.20906 -1.87939  1.43868  0.61803 -1.98054  1.11839  1.00000 -1.99513  0.74921  1.33826 -1.92252  0.34730  1.61803 -1.76590 -0.06980  1.82709 -1.53209 -0.48384  1.95630 -1.23132 -0.87674 -2.00000     ... ... ..... ....... ......... ........... .............
E30g *  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 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000     ... ... ..... ....... ......... ........... .............
E31g *  2.00000 -1.11839 -0.74921  1.95630 -1.43868 -0.34730  1.82709 -1.69610  0.06980  1.61803 -1.87939  0.48384  1.33826 -1.98054  0.87674  1.00000 -1.99513  1.23132  0.61803 -1.92252  1.53209  0.20906 -1.76590  1.76590 -0.20906 -1.53209  1.92252 -0.61803 -1.23132  1.99513 -1.00000 -0.87674  1.98054 -1.33826 -0.48384  1.87939 -1.61803 -0.06980  1.69610 -1.82709  0.34730  1.43868 -1.95630  0.74921  1.11839 -2.00000  2.00000  1.11839  0.74921 -1.95630  1.43868  0.34730 -1.82709  1.69610 -0.06980 -1.61803  1.87939 -0.48384 -1.33826  1.98054 -0.87674 -1.00000  1.99513 -1.23132 -0.61803  1.92252 -1.53209 -0.20906  1.76590 -1.76590  0.20906  1.53209 -1.92252  0.61803  1.23132 -1.99513  1.00000  0.87674 -1.98054  1.33826  0.48384 -1.87939  1.61803  0.06980 -1.69610  1.82709 -0.34730 -1.43868  1.95630 -0.74921 -1.11839 -2.00000     ... ... ..... ....... ......... ........... .............
E32g *  2.00000 -1.23132 -0.48384  1.82709 -1.76590  0.34730  1.33826 -1.99513  1.11839  0.61803 -1.87939  1.69610 -0.20906 -1.43868  1.98054 -1.00000 -0.74921  1.92252 -1.61803  0.06980  1.53209 -1.95630  0.87674  0.87674 -1.95630  1.53209  0.06980 -1.61803  1.92252 -0.74921 -1.00000  1.98054 -1.43868 -0.20906  1.69610 -1.87939  0.61803  1.11839 -1.99513  1.33826  0.34730 -1.76590  1.82709 -0.48384 -1.23132  2.00000  2.00000 -1.23132 -0.48384  1.82709 -1.76590  0.34730  1.33826 -1.99513  1.11839  0.61803 -1.87939  1.69610 -0.20906 -1.43868  1.98054 -1.00000 -0.74921  1.92252 -1.61803  0.06980  1.53209 -1.95630  0.87674  0.87674 -1.95630  1.53209  0.06980 -1.61803  1.92252 -0.74921 -1.00000  1.98054 -1.43868 -0.20906  1.69610 -1.87939  0.61803  1.11839 -1.99513  1.33826  0.34730 -1.76590  1.82709 -0.48384 -1.23132  2.00000     ... ... ..... ....... ......... ........... .............
E33g *  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 -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  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     ... ... ..... ....... ......... ........... .............
E34g *  2.00000 -1.43868  0.06980  1.33826 -1.99513  1.53209 -0.20906 -1.23132  1.98054 -1.61803  0.34730  1.11839 -1.95630  1.69610 -0.48384 -1.00000  1.92252 -1.76590  0.61803  0.87674 -1.87939  1.82709 -0.74921 -0.74921  1.82709 -1.87939  0.87674  0.61803 -1.76590  1.92252 -1.00000 -0.48384  1.69610 -1.95630  1.11839  0.34730 -1.61803  1.98054 -1.23132 -0.20906  1.53209 -1.99513  1.33826  0.06980 -1.43868  2.00000  2.00000 -1.43868  0.06980  1.33826 -1.99513  1.53209 -0.20906 -1.23132  1.98054 -1.61803  0.34730  1.11839 -1.95630  1.69610 -0.48384 -1.00000  1.92252 -1.76590  0.61803  0.87674 -1.87939  1.82709 -0.74921 -0.74921  1.82709 -1.87939  0.87674  0.61803 -1.76590  1.92252 -1.00000 -0.48384  1.69610 -1.95630  1.11839  0.34730 -1.61803  1.98054 -1.23132 -0.20906  1.53209 -1.99513  1.33826  0.06980 -1.43868  2.00000     ... ... ..... ....... ......... ........... .............
E35g *  2.00000 -1.53209  0.34730  1.00000 -1.87939  1.87939 -1.00000 -0.34730  1.53209 -2.00000  1.53209 -0.34730 -1.00000  1.87939 -1.87939  1.00000  0.34730 -1.53209  2.00000 -1.53209  0.34730  1.00000 -1.87939  1.87939 -1.00000 -0.34730  1.53209 -2.00000  1.53209 -0.34730 -1.00000  1.87939 -1.87939  1.00000  0.34730 -1.53209  2.00000 -1.53209  0.34730  1.00000 -1.87939  1.87939 -1.00000 -0.34730  1.53209 -2.00000  2.00000  1.53209 -0.34730 -1.00000  1.87939 -1.87939  1.00000  0.34730 -1.53209  2.00000 -1.53209  0.34730  1.00000 -1.87939  1.87939 -1.00000 -0.34730  1.53209 -2.00000  1.53209 -0.34730 -1.00000  1.87939 -1.87939  1.00000  0.34730 -1.53209  2.00000 -1.53209  0.34730  1.00000 -1.87939  1.87939 -1.00000 -0.34730  1.53209 -2.00000  1.53209 -0.34730 -1.00000  1.87939 -1.87939  1.00000  0.34730 -1.53209 -2.00000     ... ... ..... ....... ......... ........... .............
E36g *  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 -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 -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     ... ... ..... ....... ......... ........... .............
E37g *  2.00000 -1.69610  0.87674  0.20906 -1.23132  1.87939 -1.95630  1.43868 -0.48384 -0.61803  1.53209 -1.98054  1.82709 -1.11839  0.06980  1.00000 -1.76590  1.99513 -1.61803  0.74921  0.34730 -1.33826  1.92252 -1.92252  1.33826 -0.34730 -0.74921  1.61803 -1.99513  1.76590 -1.00000 -0.06980  1.11839 -1.82709  1.98054 -1.53209  0.61803  0.48384 -1.43868  1.95630 -1.87939  1.23132 -0.20906 -0.87674  1.69610 -2.00000  2.00000  1.69610 -0.87674 -0.20906  1.23132 -1.87939  1.95630 -1.43868  0.48384  0.61803 -1.53209  1.98054 -1.82709  1.11839 -0.06980 -1.00000  1.76590 -1.99513  1.61803 -0.74921 -0.34730  1.33826 -1.92252  1.92252 -1.33826  0.34730  0.74921 -1.61803  1.99513 -1.76590  1.00000  0.06980 -1.11839  1.82709 -1.98054  1.53209 -0.61803 -0.48384  1.43868 -1.95630  1.87939 -1.23132  0.20906  0.87674 -1.69610 -2.00000     ... ... ..... ....... ......... ........... .............
E38g *  2.00000 -1.76590  1.11839 -0.20906 -0.74921  1.53209 -1.95630  1.92252 -1.43868  0.61803  0.34730 -1.23132  1.82709 -1.99513  1.69610 -1.00000  0.06980  0.87674 -1.61803  1.98054 -1.87939  1.33826 -0.48384 -0.48384  1.33826 -1.87939  1.98054 -1.61803  0.87674  0.06980 -1.00000  1.69610 -1.99513  1.82709 -1.23132  0.34730  0.61803 -1.43868  1.92252 -1.95630  1.53209 -0.74921 -0.20906  1.11839 -1.76590  2.00000  2.00000 -1.76590  1.11839 -0.20906 -0.74921  1.53209 -1.95630  1.92252 -1.43868  0.61803  0.34730 -1.23132  1.82709 -1.99513  1.69610 -1.00000  0.06980  0.87674 -1.61803  1.98054 -1.87939  1.33826 -0.48384 -0.48384  1.33826 -1.87939  1.98054 -1.61803  0.87674  0.06980 -1.00000  1.69610 -1.99513  1.82709 -1.23132  0.34730  0.61803 -1.43868  1.92252 -1.95630  1.53209 -0.74921 -0.20906  1.11839 -1.76590  2.00000     ... ... ..... ....... ......... ........... .............
E39g *  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 -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  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     ... ... ..... ....... ......... ........... .............
E40g *  2.00000 -1.87939  1.53209 -1.00000  0.34730  0.34730 -1.00000  1.53209 -1.87939  2.00000 -1.87939  1.53209 -1.00000  0.34730  0.34730 -1.00000  1.53209 -1.87939  2.00000 -1.87939  1.53209 -1.00000  0.34730  0.34730 -1.00000  1.53209 -1.87939  2.00000 -1.87939  1.53209 -1.00000  0.34730  0.34730 -1.00000  1.53209 -1.87939  2.00000 -1.87939  1.53209 -1.00000  0.34730  0.34730 -1.00000  1.53209 -1.87939  2.00000  2.00000 -1.87939  1.53209 -1.00000  0.34730  0.34730 -1.00000  1.53209 -1.87939  2.00000 -1.87939  1.53209 -1.00000  0.34730  0.34730 -1.00000  1.53209 -1.87939  2.00000 -1.87939  1.53209 -1.00000  0.34730  0.34730 -1.00000  1.53209 -1.87939  2.00000 -1.87939  1.53209 -1.00000  0.34730  0.34730 -1.00000  1.53209 -1.87939  2.00000 -1.87939  1.53209 -1.00000  0.34730  0.34730 -1.00000  1.53209 -1.87939  2.00000     ... ... ..... ....... ......... ........... .............
E41g *  2.00000 -1.92252  1.69610 -1.33826  0.87674 -0.34730 -0.20906  0.74921 -1.23132  1.61803 -1.87939  1.99513 -1.95630  1.76590 -1.43868  1.00000 -0.48384 -0.06980  0.61803 -1.11839  1.53209 -1.82709  1.98054 -1.98054  1.82709 -1.53209  1.11839 -0.61803  0.06980  0.48384 -1.00000  1.43868 -1.76590  1.95630 -1.99513  1.87939 -1.61803  1.23132 -0.74921  0.20906  0.34730 -0.87674  1.33826 -1.69610  1.92252 -2.00000  2.00000  1.92252 -1.69610  1.33826 -0.87674  0.34730  0.20906 -0.74921  1.23132 -1.61803  1.87939 -1.99513  1.95630 -1.76590  1.43868 -1.00000  0.48384  0.06980 -0.61803  1.11839 -1.53209  1.82709 -1.98054  1.98054 -1.82709  1.53209 -1.11839  0.61803 -0.06980 -0.48384  1.00000 -1.43868  1.76590 -1.95630  1.99513 -1.87939  1.61803 -1.23132  0.74921 -0.20906 -0.34730  0.87674 -1.33826  1.69610 -1.92252 -2.00000     ... ... ..... ....... ......... ........... .............
E42g *  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 -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 -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     ... ... ..... ....... ......... ........... .............
E43g *  2.00000 -1.98054  1.92252 -1.82709  1.69610 -1.53209  1.33826 -1.11839  0.87674 -0.61803  0.34730 -0.06980 -0.20906  0.48384 -0.74921  1.00000 -1.23132  1.43868 -1.61803  1.76590 -1.87939  1.95630 -1.99513  1.99513 -1.95630  1.87939 -1.76590  1.61803 -1.43868  1.23132 -1.00000  0.74921 -0.48384  0.20906  0.06980 -0.34730  0.61803 -0.87674  1.11839 -1.33826  1.53209 -1.69610  1.82709 -1.92252  1.98054 -2.00000  2.00000  1.98054 -1.92252  1.82709 -1.69610  1.53209 -1.33826  1.11839 -0.87674  0.61803 -0.34730  0.06980  0.20906 -0.48384  0.74921 -1.00000  1.23132 -1.43868  1.61803 -1.76590  1.87939 -1.95630  1.99513 -1.99513  1.95630 -1.87939  1.76590 -1.61803  1.43868 -1.23132  1.00000 -0.74921  0.48384 -0.20906 -0.06980  0.34730 -0.61803  0.87674 -1.11839  1.33826 -1.53209  1.69610 -1.82709  1.92252 -1.98054 -2.00000     ... ... ..... ....... ......... ........... .............
E44g *  2.00000 -1.99513  1.98054 -1.95630  1.92252 -1.87939  1.82709 -1.76590  1.69610 -1.61803  1.53209 -1.43868  1.33826 -1.23132  1.11839 -1.00000  0.87674 -0.74921  0.61803 -0.48384  0.34730 -0.20906  0.06980  0.06980 -0.20906  0.34730 -0.48384  0.61803 -0.74921  0.87674 -1.00000  1.11839 -1.23132  1.33826 -1.43868  1.53209 -1.61803  1.69610 -1.76590  1.82709 -1.87939  1.92252 -1.95630  1.98054 -1.99513  2.00000  2.00000 -1.99513  1.98054 -1.95630  1.92252 -1.87939  1.82709 -1.76590  1.69610 -1.61803  1.53209 -1.43868  1.33826 -1.23132  1.11839 -1.00000  0.87674 -0.74921  0.61803 -0.48384  0.34730 -0.20906  0.06980  0.06980 -0.20906  0.34730 -0.48384  0.61803 -0.74921  0.87674 -1.00000  1.11839 -1.23132  1.33826 -1.43868  1.53209 -1.61803  1.69610 -1.76590  1.82709 -1.87939  1.92252 -1.95630  1.98054 -1.99513  2.00000     ... ... ..... ....... ......... ........... .............
Au      1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000     ... ..T ..... ......T ......... ..........T .............
Bu      1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000 -1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000 -1.00000  1.00000  1.00000     ... ... ..... ....... ......... ........... .............
E1u  *  2.00000  1.99513  1.98054  1.95630  1.92252  1.87939  1.82709  1.76590  1.69610  1.61803  1.53209  1.43868  1.33826  1.23132  1.11839  1.00000  0.87674  0.74921  0.61803  0.48384  0.34730  0.20906  0.06980 -0.06980 -0.20906 -0.34730 -0.48384 -0.61803 -0.74921 -0.87674 -1.00000 -1.11839 -1.23132 -1.33826 -1.43868 -1.53209 -1.61803 -1.69610 -1.76590 -1.82709 -1.87939 -1.92252 -1.95630 -1.98054 -1.99513 -2.00000 -2.00000  1.99513  1.98054  1.95630  1.92252  1.87939  1.82709  1.76590  1.69610  1.61803  1.53209  1.43868  1.33826  1.23132  1.11839  1.00000  0.87674  0.74921  0.61803  0.48384  0.34730  0.20906  0.06980 -0.06980 -0.20906 -0.34730 -0.48384 -0.61803 -0.74921 -0.87674 -1.00000 -1.11839 -1.23132 -1.33826 -1.43868 -1.53209 -1.61803 -1.69610 -1.76590 -1.82709 -1.87939 -1.92252 -1.95630 -1.98054 -1.99513  2.00000     ... TT. ..... ....TT. ......... ........TT. .............
E2u  *  2.00000  1.98054  1.92252  1.82709  1.69610  1.53209  1.33826  1.11839  0.87674  0.61803  0.34730  0.06980 -0.20906 -0.48384 -0.74921 -1.00000 -1.23132 -1.43868 -1.61803 -1.76590 -1.87939 -1.95630 -1.99513 -1.99513 -1.95630 -1.87939 -1.76590 -1.61803 -1.43868 -1.23132 -1.00000 -0.74921 -0.48384 -0.20906  0.06980  0.34730  0.61803  0.87674  1.11839  1.33826  1.53209  1.69610  1.82709  1.92252  1.98054  2.00000 -2.00000 -1.98054 -1.92252 -1.82709 -1.69610 -1.53209 -1.33826 -1.11839 -0.87674 -0.61803 -0.34730 -0.06980  0.20906  0.48384  0.74921  1.00000  1.23132  1.43868  1.61803  1.76590  1.87939  1.95630  1.99513  1.99513  1.95630  1.87939  1.76590  1.61803  1.43868  1.23132  1.00000  0.74921  0.48384  0.20906 -0.06980 -0.34730 -0.61803 -0.87674 -1.11839 -1.33826 -1.53209 -1.69610 -1.82709 -1.92252 -1.98054 -2.00000     ... ... ..... ..TT... ......... ......TT... .............
E3u  *  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  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  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..... .............
E4u  *  2.00000  1.92252  1.69610  1.33826  0.87674  0.34730 -0.20906 -0.74921 -1.23132 -1.61803 -1.87939 -1.99513 -1.95630 -1.76590 -1.43868 -1.00000 -0.48384  0.06980  0.61803  1.11839  1.53209  1.82709  1.98054  1.98054  1.82709  1.53209  1.11839  0.61803  0.06980 -0.48384 -1.00000 -1.43868 -1.76590 -1.95630 -1.99513 -1.87939 -1.61803 -1.23132 -0.74921 -0.20906  0.34730  0.87674  1.33826  1.69610  1.92252  2.00000 -2.00000 -1.92252 -1.69610 -1.33826 -0.87674 -0.34730  0.20906  0.74921  1.23132  1.61803  1.87939  1.99513  1.95630  1.76590  1.43868  1.00000  0.48384 -0.06980 -0.61803 -1.11839 -1.53209 -1.82709 -1.98054 -1.98054 -1.82709 -1.53209 -1.11839 -0.61803 -0.06980  0.48384  1.00000  1.43868  1.76590  1.95630  1.99513  1.87939  1.61803  1.23132  0.74921  0.20906 -0.34730 -0.87674 -1.33826 -1.69610 -1.92252 -2.00000     ... ... ..... ....... ......... ..TT....... .............
E5u  *  2.00000  1.87939  1.53209  1.00000  0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730  0.34730  1.00000  1.53209  1.87939  2.00000  1.87939  1.53209  1.00000  0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730  0.34730  1.00000  1.53209  1.87939  2.00000  1.87939  1.53209  1.00000  0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -2.00000  1.87939  1.53209  1.00000  0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730  0.34730  1.00000  1.53209  1.87939  2.00000  1.87939  1.53209  1.00000  0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730  0.34730  1.00000  1.53209  1.87939  2.00000  1.87939  1.53209  1.00000  0.34730 -0.34730 -1.00000 -1.53209 -1.87939  2.00000     ... ... ..... ....... ......... TT......... .............
E6u  *  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  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 -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     ... ... ..... ....... ......... ........... .............
E7u  *  2.00000  1.76590  1.11839  0.20906 -0.74921 -1.53209 -1.95630 -1.92252 -1.43868 -0.61803  0.34730  1.23132  1.82709  1.99513  1.69610  1.00000  0.06980 -0.87674 -1.61803 -1.98054 -1.87939 -1.33826 -0.48384  0.48384  1.33826  1.87939  1.98054  1.61803  0.87674 -0.06980 -1.00000 -1.69610 -1.99513 -1.82709 -1.23132 -0.34730  0.61803  1.43868  1.92252  1.95630  1.53209  0.74921 -0.20906 -1.11839 -1.76590 -2.00000 -2.00000  1.76590  1.11839  0.20906 -0.74921 -1.53209 -1.95630 -1.92252 -1.43868 -0.61803  0.34730  1.23132  1.82709  1.99513  1.69610  1.00000  0.06980 -0.87674 -1.61803 -1.98054 -1.87939 -1.33826 -0.48384  0.48384  1.33826  1.87939  1.98054  1.61803  0.87674 -0.06980 -1.00000 -1.69610 -1.99513 -1.82709 -1.23132 -0.34730  0.61803  1.43868  1.92252  1.95630  1.53209  0.74921 -0.20906 -1.11839 -1.76590  2.00000     ... ... ..... ....... ......... ........... .............
E8u  *  2.00000  1.69610  0.87674 -0.20906 -1.23132 -1.87939 -1.95630 -1.43868 -0.48384  0.61803  1.53209  1.98054  1.82709  1.11839  0.06980 -1.00000 -1.76590 -1.99513 -1.61803 -0.74921  0.34730  1.33826  1.92252  1.92252  1.33826  0.34730 -0.74921 -1.61803 -1.99513 -1.76590 -1.00000  0.06980  1.11839  1.82709  1.98054  1.53209  0.61803 -0.48384 -1.43868 -1.95630 -1.87939 -1.23132 -0.20906  0.87674  1.69610  2.00000 -2.00000 -1.69610 -0.87674  0.20906  1.23132  1.87939  1.95630  1.43868  0.48384 -0.61803 -1.53209 -1.98054 -1.82709 -1.11839 -0.06980  1.00000  1.76590  1.99513  1.61803  0.74921 -0.34730 -1.33826 -1.92252 -1.92252 -1.33826 -0.34730  0.74921  1.61803  1.99513  1.76590  1.00000 -0.06980 -1.11839 -1.82709 -1.98054 -1.53209 -0.61803  0.48384  1.43868  1.95630  1.87939  1.23132  0.20906 -0.87674 -1.69610 -2.00000     ... ... ..... ....... ......... ........... .............
E9u  *  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  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  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     ... ... ..... ....... ......... ........... .............
E10u *  2.00000  1.53209  0.34730 -1.00000 -1.87939 -1.87939 -1.00000  0.34730  1.53209  2.00000  1.53209  0.34730 -1.00000 -1.87939 -1.87939 -1.00000  0.34730  1.53209  2.00000  1.53209  0.34730 -1.00000 -1.87939 -1.87939 -1.00000  0.34730  1.53209  2.00000  1.53209  0.34730 -1.00000 -1.87939 -1.87939 -1.00000  0.34730  1.53209  2.00000  1.53209  0.34730 -1.00000 -1.87939 -1.87939 -1.00000  0.34730  1.53209  2.00000 -2.00000 -1.53209 -0.34730  1.00000  1.87939  1.87939  1.00000 -0.34730 -1.53209 -2.00000 -1.53209 -0.34730  1.00000  1.87939  1.87939  1.00000 -0.34730 -1.53209 -2.00000 -1.53209 -0.34730  1.00000  1.87939  1.87939  1.00000 -0.34730 -1.53209 -2.00000 -1.53209 -0.34730  1.00000  1.87939  1.87939  1.00000 -0.34730 -1.53209 -2.00000 -1.53209 -0.34730  1.00000  1.87939  1.87939  1.00000 -0.34730 -1.53209 -2.00000     ... ... ..... ....... ......... ........... .............
E11u *  2.00000  1.43868  0.06980 -1.33826 -1.99513 -1.53209 -0.20906  1.23132  1.98054  1.61803  0.34730 -1.11839 -1.95630 -1.69610 -0.48384  1.00000  1.92252  1.76590  0.61803 -0.87674 -1.87939 -1.82709 -0.74921  0.74921  1.82709  1.87939  0.87674 -0.61803 -1.76590 -1.92252 -1.00000  0.48384  1.69610  1.95630  1.11839 -0.34730 -1.61803 -1.98054 -1.23132  0.20906  1.53209  1.99513  1.33826 -0.06980 -1.43868 -2.00000 -2.00000  1.43868  0.06980 -1.33826 -1.99513 -1.53209 -0.20906  1.23132  1.98054  1.61803  0.34730 -1.11839 -1.95630 -1.69610 -0.48384  1.00000  1.92252  1.76590  0.61803 -0.87674 -1.87939 -1.82709 -0.74921  0.74921  1.82709  1.87939  0.87674 -0.61803 -1.76590 -1.92252 -1.00000  0.48384  1.69610  1.95630  1.11839 -0.34730 -1.61803 -1.98054 -1.23132  0.20906  1.53209  1.99513  1.33826 -0.06980 -1.43868  2.00000     ... ... ..... ....... ......... ........... .............
E12u *  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  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 -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     ... ... ..... ....... ......... ........... .............
E13u *  2.00000  1.23132 -0.48384 -1.82709 -1.76590 -0.34730  1.33826  1.99513  1.11839 -0.61803 -1.87939 -1.69610 -0.20906  1.43868  1.98054  1.00000 -0.74921 -1.92252 -1.61803 -0.06980  1.53209  1.95630  0.87674 -0.87674 -1.95630 -1.53209  0.06980  1.61803  1.92252  0.74921 -1.00000 -1.98054 -1.43868  0.20906  1.69610  1.87939  0.61803 -1.11839 -1.99513 -1.33826  0.34730  1.76590  1.82709  0.48384 -1.23132 -2.00000 -2.00000  1.23132 -0.48384 -1.82709 -1.76590 -0.34730  1.33826  1.99513  1.11839 -0.61803 -1.87939 -1.69610 -0.20906  1.43868  1.98054  1.00000 -0.74921 -1.92252 -1.61803 -0.06980  1.53209  1.95630  0.87674 -0.87674 -1.95630 -1.53209  0.06980  1.61803  1.92252  0.74921 -1.00000 -1.98054 -1.43868  0.20906  1.69610  1.87939  0.61803 -1.11839 -1.99513 -1.33826  0.34730  1.76590  1.82709  0.48384 -1.23132  2.00000     ... ... ..... ....... ......... ........... .............
E14u *  2.00000  1.11839 -0.74921 -1.95630 -1.43868  0.34730  1.82709  1.69610  0.06980 -1.61803 -1.87939 -0.48384  1.33826  1.98054  0.87674 -1.00000 -1.99513 -1.23132  0.61803  1.92252  1.53209 -0.20906 -1.76590 -1.76590 -0.20906  1.53209  1.92252  0.61803 -1.23132 -1.99513 -1.00000  0.87674  1.98054  1.33826 -0.48384 -1.87939 -1.61803  0.06980  1.69610  1.82709  0.34730 -1.43868 -1.95630 -0.74921  1.11839  2.00000 -2.00000 -1.11839  0.74921  1.95630  1.43868 -0.34730 -1.82709 -1.69610 -0.06980  1.61803  1.87939  0.48384 -1.33826 -1.98054 -0.87674  1.00000  1.99513  1.23132 -0.61803 -1.92252 -1.53209  0.20906  1.76590  1.76590  0.20906 -1.53209 -1.92252 -0.61803  1.23132  1.99513  1.00000 -0.87674 -1.98054 -1.33826  0.48384  1.87939  1.61803 -0.06980 -1.69610 -1.82709 -0.34730  1.43868  1.95630  0.74921 -1.11839 -2.00000     ... ... ..... ....... ......... ........... .............
E15u *  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 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000 -2.00000 -1.00000  1.00000  2.00000  1.00000 -1.00000  2.00000     ... ... ..... ....... ......... ........... .............
E16u *  2.00000  0.87674 -1.23132 -1.95630 -0.48384  1.53209  1.82709  0.06980 -1.76590 -1.61803  0.34730  1.92252  1.33826 -0.74921 -1.99513 -1.00000  1.11839  1.98054  0.61803 -1.43868 -1.87939 -0.20906  1.69610  1.69610 -0.20906 -1.87939 -1.43868  0.61803  1.98054  1.11839 -1.00000 -1.99513 -0.74921  1.33826  1.92252  0.34730 -1.61803 -1.76590  0.06980  1.82709  1.53209 -0.48384 -1.95630 -1.23132  0.87674  2.00000 -2.00000 -0.87674  1.23132  1.95630  0.48384 -1.53209 -1.82709 -0.06980  1.76590  1.61803 -0.34730 -1.92252 -1.33826  0.74921  1.99513  1.00000 -1.11839 -1.98054 -0.61803  1.43868  1.87939  0.20906 -1.69610 -1.69610  0.20906  1.87939  1.43868 -0.61803 -1.98054 -1.11839  1.00000  1.99513  0.74921 -1.33826 -1.92252 -0.34730  1.61803  1.76590 -0.06980 -1.82709 -1.53209  0.48384  1.95630  1.23132 -0.87674 -2.00000     ... ... ..... ....... ......... ........... .............
E17u *  2.00000  0.74921 -1.43868 -1.82709  0.06980  1.87939  1.33826 -0.87674 -1.99513 -0.61803  1.53209  1.76590 -0.20906 -1.92252 -1.23132  1.00000  1.98054  0.48384 -1.61803 -1.69610  0.34730  1.95630  1.11839 -1.11839 -1.95630 -0.34730  1.69610  1.61803 -0.48384 -1.98054 -1.00000  1.23132  1.92252  0.20906 -1.76590 -1.53209  0.61803  1.99513  0.87674 -1.33826 -1.87939 -0.06980  1.82709  1.43868 -0.74921 -2.00000 -2.00000  0.74921 -1.43868 -1.82709  0.06980  1.87939  1.33826 -0.87674 -1.99513 -0.61803  1.53209  1.76590 -0.20906 -1.92252 -1.23132  1.00000  1.98054  0.48384 -1.61803 -1.69610  0.34730  1.95630  1.11839 -1.11839 -1.95630 -0.34730  1.69610  1.61803 -0.48384 -1.98054 -1.00000  1.23132  1.92252  0.20906 -1.76590 -1.53209  0.61803  1.99513  0.87674 -1.33826 -1.87939 -0.06980  1.82709  1.43868 -0.74921  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  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 -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  0.48384 -1.76590 -1.33826  1.11839  1.87939 -0.20906 -1.98054 -0.74921  1.61803  1.53209 -0.87674 -1.95630 -0.06980  1.92252  1.00000 -1.43868 -1.69610  0.61803  1.99513  0.34730 -1.82709 -1.23132  1.23132  1.82709 -0.34730 -1.99513 -0.61803  1.69610  1.43868 -1.00000 -1.92252  0.06980  1.95630  0.87674 -1.53209 -1.61803  0.74921  1.98054  0.20906 -1.87939 -1.11839  1.33826  1.76590 -0.48384 -2.00000 -2.00000  0.48384 -1.76590 -1.33826  1.11839  1.87939 -0.20906 -1.98054 -0.74921  1.61803  1.53209 -0.87674 -1.95630 -0.06980  1.92252  1.00000 -1.43868 -1.69610  0.61803  1.99513  0.34730 -1.82709 -1.23132  1.23132  1.82709 -0.34730 -1.99513 -0.61803  1.69610  1.43868 -1.00000 -1.92252  0.06980  1.95630  0.87674 -1.53209 -1.61803  0.74921  1.98054  0.20906 -1.87939 -1.11839  1.33826  1.76590 -0.48384  2.00000     ... ... ..... ....... ......... ........... .............
E20u *  2.00000  0.34730 -1.87939 -1.00000  1.53209  1.53209 -1.00000 -1.87939  0.34730  2.00000  0.34730 -1.87939 -1.00000  1.53209  1.53209 -1.00000 -1.87939  0.34730  2.00000  0.34730 -1.87939 -1.00000  1.53209  1.53209 -1.00000 -1.87939  0.34730  2.00000  0.34730 -1.87939 -1.00000  1.53209  1.53209 -1.00000 -1.87939  0.34730  2.00000  0.34730 -1.87939 -1.00000  1.53209  1.53209 -1.00000 -1.87939  0.34730  2.00000 -2.00000 -0.34730  1.87939  1.00000 -1.53209 -1.53209  1.00000  1.87939 -0.34730 -2.00000 -0.34730  1.87939  1.00000 -1.53209 -1.53209  1.00000  1.87939 -0.34730 -2.00000 -0.34730  1.87939  1.00000 -1.53209 -1.53209  1.00000  1.87939 -0.34730 -2.00000 -0.34730  1.87939  1.00000 -1.53209 -1.53209  1.00000  1.87939 -0.34730 -2.00000 -0.34730  1.87939  1.00000 -1.53209 -1.53209  1.00000  1.87939 -0.34730 -2.00000     ... ... ..... ....... ......... ........... .............
E21u *  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  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  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     ... ... ..... ....... ......... ........... .............
E22u *  2.00000  0.06980 -1.99513 -0.20906  1.98054  0.34730 -1.95630 -0.48384  1.92252  0.61803 -1.87939 -0.74921  1.82709  0.87674 -1.76590 -1.00000  1.69610  1.11839 -1.61803 -1.23132  1.53209  1.33826 -1.43868 -1.43868  1.33826  1.53209 -1.23132 -1.61803  1.11839  1.69610 -1.00000 -1.76590  0.87674  1.82709 -0.74921 -1.87939  0.61803  1.92252 -0.48384 -1.95630  0.34730  1.98054 -0.20906 -1.99513  0.06980  2.00000 -2.00000 -0.06980  1.99513  0.20906 -1.98054 -0.34730  1.95630  0.48384 -1.92252 -0.61803  1.87939  0.74921 -1.82709 -0.87674  1.76590  1.00000 -1.69610 -1.11839  1.61803  1.23132 -1.53209 -1.33826  1.43868  1.43868 -1.33826 -1.53209  1.23132  1.61803 -1.11839 -1.69610  1.00000  1.76590 -0.87674 -1.82709  0.74921  1.87939 -0.61803 -1.92252  0.48384  1.95630 -0.34730 -1.98054  0.20906  1.99513 -0.06980 -2.00000     ... ... ..... ....... ......... ........... .............
E23u *  2.00000 -0.06980 -1.99513  0.20906  1.98054 -0.34730 -1.95630  0.48384  1.92252 -0.61803 -1.87939  0.74921  1.82709 -0.87674 -1.76590  1.00000  1.69610 -1.11839 -1.61803  1.23132  1.53209 -1.33826 -1.43868  1.43868  1.33826 -1.53209 -1.23132  1.61803  1.11839 -1.69610 -1.00000  1.76590  0.87674 -1.82709 -0.74921  1.87939  0.61803 -1.92252 -0.48384  1.95630  0.34730 -1.98054 -0.20906  1.99513  0.06980 -2.00000 -2.00000 -0.06980 -1.99513  0.20906  1.98054 -0.34730 -1.95630  0.48384  1.92252 -0.61803 -1.87939  0.74921  1.82709 -0.87674 -1.76590  1.00000  1.69610 -1.11839 -1.61803  1.23132  1.53209 -1.33826 -1.43868  1.43868  1.33826 -1.53209 -1.23132  1.61803  1.11839 -1.69610 -1.00000  1.76590  0.87674 -1.82709 -0.74921  1.87939  0.61803 -1.92252 -0.48384  1.95630  0.34730 -1.98054 -0.20906  1.99513  0.06980  2.00000     ... ... ..... ....... ......... ........... .............
E24u *  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 -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  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     ... ... ..... ....... ......... ........... .............
E25u *  2.00000 -0.34730 -1.87939  1.00000  1.53209 -1.53209 -1.00000  1.87939  0.34730 -2.00000  0.34730  1.87939 -1.00000 -1.53209  1.53209  1.00000 -1.87939 -0.34730  2.00000 -0.34730 -1.87939  1.00000  1.53209 -1.53209 -1.00000  1.87939  0.34730 -2.00000  0.34730  1.87939 -1.00000 -1.53209  1.53209  1.00000 -1.87939 -0.34730  2.00000 -0.34730 -1.87939  1.00000  1.53209 -1.53209 -1.00000  1.87939  0.34730 -2.00000 -2.00000 -0.34730 -1.87939  1.00000  1.53209 -1.53209 -1.00000  1.87939  0.34730 -2.00000  0.34730  1.87939 -1.00000 -1.53209  1.53209  1.00000 -1.87939 -0.34730  2.00000 -0.34730 -1.87939  1.00000  1.53209 -1.53209 -1.00000  1.87939  0.34730 -2.00000  0.34730  1.87939 -1.00000 -1.53209  1.53209  1.00000 -1.87939 -0.34730  2.00000 -0.34730 -1.87939  1.00000  1.53209 -1.53209 -1.00000  1.87939  0.34730  2.00000     ... ... ..... ....... ......... ........... .............
E26u *  2.00000 -0.48384 -1.76590  1.33826  1.11839 -1.87939 -0.20906  1.98054 -0.74921 -1.61803  1.53209  0.87674 -1.95630  0.06980  1.92252 -1.00000 -1.43868  1.69610  0.61803 -1.99513  0.34730  1.82709 -1.23132 -1.23132  1.82709  0.34730 -1.99513  0.61803  1.69610 -1.43868 -1.00000  1.92252  0.06980 -1.95630  0.87674  1.53209 -1.61803 -0.74921  1.98054 -0.20906 -1.87939  1.11839  1.33826 -1.76590 -0.48384  2.00000 -2.00000  0.48384  1.76590 -1.33826 -1.11839  1.87939  0.20906 -1.98054  0.74921  1.61803 -1.53209 -0.87674  1.95630 -0.06980 -1.92252  1.00000  1.43868 -1.69610 -0.61803  1.99513 -0.34730 -1.82709  1.23132  1.23132 -1.82709 -0.34730  1.99513 -0.61803 -1.69610  1.43868  1.00000 -1.92252 -0.06980  1.95630 -0.87674 -1.53209  1.61803  0.74921 -1.98054  0.20906  1.87939 -1.11839 -1.33826  1.76590  0.48384 -2.00000     ... ... ..... ....... ......... ........... .............
E27u *  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 -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 -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     ... ... ..... ....... ......... ........... .............
E28u *  2.00000 -0.74921 -1.43868  1.82709  0.06980 -1.87939  1.33826  0.87674 -1.99513  0.61803  1.53209 -1.76590 -0.20906  1.92252 -1.23132 -1.00000  1.98054 -0.48384 -1.61803  1.69610  0.34730 -1.95630  1.11839  1.11839 -1.95630  0.34730  1.69610 -1.61803 -0.48384  1.98054 -1.00000 -1.23132  1.92252 -0.20906 -1.76590  1.53209  0.61803 -1.99513  0.87674  1.33826 -1.87939  0.06980  1.82709 -1.43868 -0.74921  2.00000 -2.00000  0.74921  1.43868 -1.82709 -0.06980  1.87939 -1.33826 -0.87674  1.99513 -0.61803 -1.53209  1.76590  0.20906 -1.92252  1.23132  1.00000 -1.98054  0.48384  1.61803 -1.69610 -0.34730  1.95630 -1.11839 -1.11839  1.95630 -0.34730 -1.69610  1.61803  0.48384 -1.98054  1.00000  1.23132 -1.92252  0.20906  1.76590 -1.53209 -0.61803  1.99513 -0.87674 -1.33826  1.87939 -0.06980 -1.82709  1.43868  0.74921 -2.00000     ... ... ..... ....... ......... ........... .............
E29u *  2.00000 -0.87674 -1.23132  1.95630 -0.48384 -1.53209  1.82709 -0.06980 -1.76590  1.61803  0.34730 -1.92252  1.33826  0.74921 -1.99513  1.00000  1.11839 -1.98054  0.61803  1.43868 -1.87939  0.20906  1.69610 -1.69610 -0.20906  1.87939 -1.43868 -0.61803  1.98054 -1.11839 -1.00000  1.99513 -0.74921 -1.33826  1.92252 -0.34730 -1.61803  1.76590  0.06980 -1.82709  1.53209  0.48384 -1.95630  1.23132  0.87674 -2.00000 -2.00000 -0.87674 -1.23132  1.95630 -0.48384 -1.53209  1.82709 -0.06980 -1.76590  1.61803  0.34730 -1.92252  1.33826  0.74921 -1.99513  1.00000  1.11839 -1.98054  0.61803  1.43868 -1.87939  0.20906  1.69610 -1.69610 -0.20906  1.87939 -1.43868 -0.61803  1.98054 -1.11839 -1.00000  1.99513 -0.74921 -1.33826  1.92252 -0.34730 -1.61803  1.76590  0.06980 -1.82709  1.53209  0.48384 -1.95630  1.23132  0.87674  2.00000     ... ... ..... ....... ......... ........... .............
E30u *  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 -1.00000 -1.00000  2.00000 -1.00000 -1.00000  2.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000  1.00000  1.00000 -2.00000     ... ... ..... ....... ......... ........... .............
E31u *  2.00000 -1.11839 -0.74921  1.95630 -1.43868 -0.34730  1.82709 -1.69610  0.06980  1.61803 -1.87939  0.48384  1.33826 -1.98054  0.87674  1.00000 -1.99513  1.23132  0.61803 -1.92252  1.53209  0.20906 -1.76590  1.76590 -0.20906 -1.53209  1.92252 -0.61803 -1.23132  1.99513 -1.00000 -0.87674  1.98054 -1.33826 -0.48384  1.87939 -1.61803 -0.06980  1.69610 -1.82709  0.34730  1.43868 -1.95630  0.74921  1.11839 -2.00000 -2.00000 -1.11839 -0.74921  1.95630 -1.43868 -0.34730  1.82709 -1.69610  0.06980  1.61803 -1.87939  0.48384  1.33826 -1.98054  0.87674  1.00000 -1.99513  1.23132  0.61803 -1.92252  1.53209  0.20906 -1.76590  1.76590 -0.20906 -1.53209  1.92252 -0.61803 -1.23132  1.99513 -1.00000 -0.87674  1.98054 -1.33826 -0.48384  1.87939 -1.61803 -0.06980  1.69610 -1.82709  0.34730  1.43868 -1.95630  0.74921  1.11839  2.00000     ... ... ..... ....... ......... ........... .............
E32u *  2.00000 -1.23132 -0.48384  1.82709 -1.76590  0.34730  1.33826 -1.99513  1.11839  0.61803 -1.87939  1.69610 -0.20906 -1.43868  1.98054 -1.00000 -0.74921  1.92252 -1.61803  0.06980  1.53209 -1.95630  0.87674  0.87674 -1.95630  1.53209  0.06980 -1.61803  1.92252 -0.74921 -1.00000  1.98054 -1.43868 -0.20906  1.69610 -1.87939  0.61803  1.11839 -1.99513  1.33826  0.34730 -1.76590  1.82709 -0.48384 -1.23132  2.00000 -2.00000  1.23132  0.48384 -1.82709  1.76590 -0.34730 -1.33826  1.99513 -1.11839 -0.61803  1.87939 -1.69610  0.20906  1.43868 -1.98054  1.00000  0.74921 -1.92252  1.61803 -0.06980 -1.53209  1.95630 -0.87674 -0.87674  1.95630 -1.53209 -0.06980  1.61803 -1.92252  0.74921  1.00000 -1.98054  1.43868  0.20906 -1.69610  1.87939 -0.61803 -1.11839  1.99513 -1.33826 -0.34730  1.76590 -1.82709  0.48384  1.23132 -2.00000     ... ... ..... ....... ......... ........... .............
E33u *  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 -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 -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     ... ... ..... ....... ......... ........... .............
E34u *  2.00000 -1.43868  0.06980  1.33826 -1.99513  1.53209 -0.20906 -1.23132  1.98054 -1.61803  0.34730  1.11839 -1.95630  1.69610 -0.48384 -1.00000  1.92252 -1.76590  0.61803  0.87674 -1.87939  1.82709 -0.74921 -0.74921  1.82709 -1.87939  0.87674  0.61803 -1.76590  1.92252 -1.00000 -0.48384  1.69610 -1.95630  1.11839  0.34730 -1.61803  1.98054 -1.23132 -0.20906  1.53209 -1.99513  1.33826  0.06980 -1.43868  2.00000 -2.00000  1.43868 -0.06980 -1.33826  1.99513 -1.53209  0.20906  1.23132 -1.98054  1.61803 -0.34730 -1.11839  1.95630 -1.69610  0.48384  1.00000 -1.92252  1.76590 -0.61803 -0.87674  1.87939 -1.82709  0.74921  0.74921 -1.82709  1.87939 -0.87674 -0.61803  1.76590 -1.92252  1.00000  0.48384 -1.69610  1.95630 -1.11839 -0.34730  1.61803 -1.98054  1.23132  0.20906 -1.53209  1.99513 -1.33826 -0.06980  1.43868 -2.00000     ... ... ..... ....... ......... ........... .............
E35u *  2.00000 -1.53209  0.34730  1.00000 -1.87939  1.87939 -1.00000 -0.34730  1.53209 -2.00000  1.53209 -0.34730 -1.00000  1.87939 -1.87939  1.00000  0.34730 -1.53209  2.00000 -1.53209  0.34730  1.00000 -1.87939  1.87939 -1.00000 -0.34730  1.53209 -2.00000  1.53209 -0.34730 -1.00000  1.87939 -1.87939  1.00000  0.34730 -1.53209  2.00000 -1.53209  0.34730  1.00000 -1.87939  1.87939 -1.00000 -0.34730  1.53209 -2.00000 -2.00000 -1.53209  0.34730  1.00000 -1.87939  1.87939 -1.00000 -0.34730  1.53209 -2.00000  1.53209 -0.34730 -1.00000  1.87939 -1.87939  1.00000  0.34730 -1.53209  2.00000 -1.53209  0.34730  1.00000 -1.87939  1.87939 -1.00000 -0.34730  1.53209 -2.00000  1.53209 -0.34730 -1.00000  1.87939 -1.87939  1.00000  0.34730 -1.53209  2.00000 -1.53209  0.34730  1.00000 -1.87939  1.87939 -1.00000 -0.34730  1.53209  2.00000     ... ... ..... ....... ......... ........... .............
E36u *  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 -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  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     ... ... ..... ....... ......... ........... .............
E37u *  2.00000 -1.69610  0.87674  0.20906 -1.23132  1.87939 -1.95630  1.43868 -0.48384 -0.61803  1.53209 -1.98054  1.82709 -1.11839  0.06980  1.00000 -1.76590  1.99513 -1.61803  0.74921  0.34730 -1.33826  1.92252 -1.92252  1.33826 -0.34730 -0.74921  1.61803 -1.99513  1.76590 -1.00000 -0.06980  1.11839 -1.82709  1.98054 -1.53209  0.61803  0.48384 -1.43868  1.95630 -1.87939  1.23132 -0.20906 -0.87674  1.69610 -2.00000 -2.00000 -1.69610  0.87674  0.20906 -1.23132  1.87939 -1.95630  1.43868 -0.48384 -0.61803  1.53209 -1.98054  1.82709 -1.11839  0.06980  1.00000 -1.76590  1.99513 -1.61803  0.74921  0.34730 -1.33826  1.92252 -1.92252  1.33826 -0.34730 -0.74921  1.61803 -1.99513  1.76590 -1.00000 -0.06980  1.11839 -1.82709  1.98054 -1.53209  0.61803  0.48384 -1.43868  1.95630 -1.87939  1.23132 -0.20906 -0.87674  1.69610  2.00000     ... ... ..... ....... ......... ........... .............
E38u *  2.00000 -1.76590  1.11839 -0.20906 -0.74921  1.53209 -1.95630  1.92252 -1.43868  0.61803  0.34730 -1.23132  1.82709 -1.99513  1.69610 -1.00000  0.06980  0.87674 -1.61803  1.98054 -1.87939  1.33826 -0.48384 -0.48384  1.33826 -1.87939  1.98054 -1.61803  0.87674  0.06980 -1.00000  1.69610 -1.99513  1.82709 -1.23132  0.34730  0.61803 -1.43868  1.92252 -1.95630  1.53209 -0.74921 -0.20906  1.11839 -1.76590  2.00000 -2.00000  1.76590 -1.11839  0.20906  0.74921 -1.53209  1.95630 -1.92252  1.43868 -0.61803 -0.34730  1.23132 -1.82709  1.99513 -1.69610  1.00000 -0.06980 -0.87674  1.61803 -1.98054  1.87939 -1.33826  0.48384  0.48384 -1.33826  1.87939 -1.98054  1.61803 -0.87674 -0.06980  1.00000 -1.69610  1.99513 -1.82709  1.23132 -0.34730 -0.61803  1.43868 -1.92252  1.95630 -1.53209  0.74921  0.20906 -1.11839  1.76590 -2.00000     ... ... ..... ....... ......... ........... .............
E39u *  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 -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 -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     ... ... ..... ....... ......... ........... .............
E40u *  2.00000 -1.87939  1.53209 -1.00000  0.34730  0.34730 -1.00000  1.53209 -1.87939  2.00000 -1.87939  1.53209 -1.00000  0.34730  0.34730 -1.00000  1.53209 -1.87939  2.00000 -1.87939  1.53209 -1.00000  0.34730  0.34730 -1.00000  1.53209 -1.87939  2.00000 -1.87939  1.53209 -1.00000  0.34730  0.34730 -1.00000  1.53209 -1.87939  2.00000 -1.87939  1.53209 -1.00000  0.34730  0.34730 -1.00000  1.53209 -1.87939  2.00000 -2.00000  1.87939 -1.53209  1.00000 -0.34730 -0.34730  1.00000 -1.53209  1.87939 -2.00000  1.87939 -1.53209  1.00000 -0.34730 -0.34730  1.00000 -1.53209  1.87939 -2.00000  1.87939 -1.53209  1.00000 -0.34730 -0.34730  1.00000 -1.53209  1.87939 -2.00000  1.87939 -1.53209  1.00000 -0.34730 -0.34730  1.00000 -1.53209  1.87939 -2.00000  1.87939 -1.53209  1.00000 -0.34730 -0.34730  1.00000 -1.53209  1.87939 -2.00000     ... ... ..... ....... ......... ........... .............
E41u *  2.00000 -1.92252  1.69610 -1.33826  0.87674 -0.34730 -0.20906  0.74921 -1.23132  1.61803 -1.87939  1.99513 -1.95630  1.76590 -1.43868  1.00000 -0.48384 -0.06980  0.61803 -1.11839  1.53209 -1.82709  1.98054 -1.98054  1.82709 -1.53209  1.11839 -0.61803  0.06980  0.48384 -1.00000  1.43868 -1.76590  1.95630 -1.99513  1.87939 -1.61803  1.23132 -0.74921  0.20906  0.34730 -0.87674  1.33826 -1.69610  1.92252 -2.00000 -2.00000 -1.92252  1.69610 -1.33826  0.87674 -0.34730 -0.20906  0.74921 -1.23132  1.61803 -1.87939  1.99513 -1.95630  1.76590 -1.43868  1.00000 -0.48384 -0.06980  0.61803 -1.11839  1.53209 -1.82709  1.98054 -1.98054  1.82709 -1.53209  1.11839 -0.61803  0.06980  0.48384 -1.00000  1.43868 -1.76590  1.95630 -1.99513  1.87939 -1.61803  1.23132 -0.74921  0.20906  0.34730 -0.87674  1.33826 -1.69610  1.92252  2.00000     ... ... ..... ....... ......... ........... .............
E42u *  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 -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  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     ... ... ..... ....... ......... ........... .............
E43u *  2.00000 -1.98054  1.92252 -1.82709  1.69610 -1.53209  1.33826 -1.11839  0.87674 -0.61803  0.34730 -0.06980 -0.20906  0.48384 -0.74921  1.00000 -1.23132  1.43868 -1.61803  1.76590 -1.87939  1.95630 -1.99513  1.99513 -1.95630  1.87939 -1.76590  1.61803 -1.43868  1.23132 -1.00000  0.74921 -0.48384  0.20906  0.06980 -0.34730  0.61803 -0.87674  1.11839 -1.33826  1.53209 -1.69610  1.82709 -1.92252  1.98054 -2.00000 -2.00000 -1.98054  1.92252 -1.82709  1.69610 -1.53209  1.33826 -1.11839  0.87674 -0.61803  0.34730 -0.06980 -0.20906  0.48384 -0.74921  1.00000 -1.23132  1.43868 -1.61803  1.76590 -1.87939  1.95630 -1.99513  1.99513 -1.95630  1.87939 -1.76590  1.61803 -1.43868  1.23132 -1.00000  0.74921 -0.48384  0.20906  0.06980 -0.34730  0.61803 -0.87674  1.11839 -1.33826  1.53209 -1.69610  1.82709 -1.92252  1.98054  2.00000     ... ... ..... ....... ......... ........... .............
E44u *  2.00000 -1.99513  1.98054 -1.95630  1.92252 -1.87939  1.82709 -1.76590  1.69610 -1.61803  1.53209 -1.43868  1.33826 -1.23132  1.11839 -1.00000  0.87674 -0.74921  0.61803 -0.48384  0.34730 -0.20906  0.06980  0.06980 -0.20906  0.34730 -0.48384  0.61803 -0.74921  0.87674 -1.00000  1.11839 -1.23132  1.33826 -1.43868  1.53209 -1.61803  1.69610 -1.76590  1.82709 -1.87939  1.92252 -1.95630  1.98054 -1.99513  2.00000 -2.00000  1.99513 -1.98054  1.95630 -1.92252  1.87939 -1.82709  1.76590 -1.69610  1.61803 -1.53209  1.43868 -1.33826  1.23132 -1.11839  1.00000 -0.87674  0.74921 -0.61803  0.48384 -0.34730  0.20906 -0.06980 -0.06980  0.20906 -0.34730  0.48384 -0.61803  0.74921 -0.87674  1.00000 -1.11839  1.23132 -1.33826  1.43868 -1.53209  1.61803 -1.69610  1.76590 -1.82709  1.87939 -1.92252  1.95630 -1.98054  1.99513 -2.00000     ... ... ..... ....... ......... ........... .............

 Irrational character values:  1.995128100520 = 2*cos(2*π/90) = 2*cos(π/45)
                               1.980536137483 = 2*cos(4*π/90) = 2*cos(2*π/45)
                               1.956295201468 = 2*cos(6*π/90) = 2*cos(π/15) = (√5-1+√30+6*√5)/4
                               1.922523391877 = 2*cos(8*π/90) = 2*cos(4*π/45)
                               1.879385241572 = 2*cos(10*π/90) = 2*cos(π/9)
                               1.827090915285 = 2*cos(12*π/90) = 2*cos(2*π/15) = (1+√5+√30-6*√5)/4
                               1.765895185718 = 2*cos(14*π/90) = 2*cos(7*π/45)
                               1.696096192313 = 2*cos(16*π/90) = 2*cos(8*π/45)
                               1.618033988750 = 2*cos(18*π/90) = 2*cos(π/5) = (1+√5)/2
                               1.532088886238 = 2*cos(20*π/90) = 2*cos(2*π/9)
                               1.438679600677 = 2*cos(22*π/90) = 2*cos(11*π/45)
                               1.338261212718 = 2*cos(24*π/90) = 2*cos(4*π/15) = (1-√5+√30+6*√5)/4
                               1.231322950651 = 2*cos(26*π/90) = 2*cos(13*π/45)
                               1.118385806941 = 2*cos(28*π/90) = 2*cos(14*π/45)
                               0.876742293578 = 2*cos(32*π/90) = 2*cos(16*π/45)
                               0.749213186832 = 2*cos(34*π/90) = 2*cos(17*π/45)
                               0.618033988750 = 2*cos(36*π/90) = 2*cos(2*π/5) = (√5-1)/2
                               0.483843791199 = 2*cos(38*π/90) = 2*cos(19*π/45)
                               0.347296355334 = 2*cos(40*π/90) = 2*cos(4*π/9)
                               0.209056926535 = 2*cos(42*π/90) = 2*cos(7*π/15) = (√30-6*√5-√5-1)/4
                               0.069798993405 = 2*cos(44*π/90) = 2*cos(22*π/45)



 Symmetry of Rotations and Cartesian products

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

 Notes:

    α  The order of the C90h point group is 180, and the order of the principal axis is 90.

    β  This is an Abelian point group (the commutative law holds between all symmetry operations).
       The C90h 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.

    γ  Because the group is Abelian and the maximum order of rotation is >2, some irreducible representations have complex characters.
       These 176 cases have been combined into 88 two-dimensional representations that are no longer irreducible but have real-valued characters.
       Accordingly, 88 pairs of left and right rotations have been combined into one two-membered pseudo-class each.

    δ  The 88 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.

    ε  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 less than half the order of the principal axis (and often much less).
       For this group, however, some of the characters cannot be expressed by a closed algebraic form using real numbers only.

This Character Table for the C90h point group was created by Gernot Katzer.

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