Character Table for Point Group D77d

Character table for the D_77d point group

D77d E 2 C77 2 C77^2 2 C77^3 2 C77^4 2 C77^5 2 C77^6 2 C11 2 C77^8 2 C77^9 2 C77^10 2 C7 2 C77^12 2 C77^13 2 C11^2 2 C77^15 2 C77^16 2 C77^17 2 C77^18 2 C77^19 2 C77^20 2 C11^3 2 C7^2 2 C77^23 2 C77^24 2 C77^25 2 C77^26 2 C77^27 2 C11^4 2 C77^29 2 C77^30 2 C77^31 2 C77^32 2 C7^3 2 C77^34 2 C11^5 2 C77^36 2 C77^37 2 C77^38 77 C2' i 2 S154 2 S154^3 2 S154^5 2 S22 2 S154^9 2 S14 2 S154^13 2 S154^15 2 S154^17 2 S154^19 2 S22^3 2 S154^23 2 S154^25 2 S154^27 2 S154^29 2 S154^31 2 S14^3 2 S22^5 2 S154^37 2 S154^39 2 S154^41 2 S154^43 2 S154^45 2 S154^47 2 S22^7 2 S154^51 2 S154^53 2 S14^5 2 S154^57 2 S154^59 2 S154^61 2 S22^9 2 S154^65 2 S154^67 2 S154^69 2 S154^71 2 S154^73 2 S154^75 77 sd <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> A1g 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 ... ... ....T ....... ........T ........... ............T A2g 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 ..T ... ..... ....... ......... ........... ............. E1g 2.00000 1.99335 1.97342 1.94037 1.89441 1.83583 1.76504 1.68251 1.58877 1.48447 1.37028 1.24698 1.11538 0.97635 0.83083 0.67978 0.52420 0.36514 0.20365 0.04080 -0.12232 -0.28463 -0.44504 -0.60249 -0.75593 -0.90434 -1.04674 -1.18216 -1.30972 -1.42856 -1.53790 -1.63700 -1.72521 -1.80194 -1.86667 -1.91899 -1.95853 -1.98504 -1.99834 0.00000 2.00000 -1.99834 -1.98504 -1.95853 -1.91899 -1.86667 -1.80194 -1.72521 -1.63700 -1.53790 -1.42856 -1.30972 -1.18216 -1.04674 -0.90434 -0.75593 -0.60249 -0.44504 -0.28463 -0.12232 0.04080 0.20365 0.36514 0.52420 0.67978 0.83083 0.97635 1.11538 1.24698 1.37028 1.48447 1.58877 1.68251 1.76504 1.83583 1.89441 1.94037 1.97342 1.99335 0.00000 TT. ... ..TT. ....... ......TT. ........... ..........TT. E2g 2.00000 1.97342 1.89441 1.76504 1.58877 1.37028 1.11538 0.83083 0.52420 0.20365 -0.12232 -0.44504 -0.75593 -1.04674 -1.30972 -1.53790 -1.72521 -1.86667 -1.95853 -1.99834 -1.98504 -1.91899 -1.80194 -1.63700 -1.42856 -1.18216 -0.90434 -0.60249 -0.28463 0.04080 0.36514 0.67978 0.97635 1.24698 1.48447 1.68251 1.83583 1.94037 1.99335 0.00000 2.00000 1.99335 1.94037 1.83583 1.68251 1.48447 1.24698 0.97635 0.67978 0.36514 0.04080 -0.28463 -0.60249 -0.90434 -1.18216 -1.42856 -1.63700 -1.80194 -1.91899 -1.98504 -1.99834 -1.95853 -1.86667 -1.72521 -1.53790 -1.30972 -1.04674 -0.75593 -0.44504 -0.12232 0.20365 0.52420 0.83083 1.11538 1.37028 1.58877 1.76504 1.89441 1.97342 0.00000 ... ... TT... ....... ....TT... ........... ........TT... E3g 2.00000 1.94037 1.76504 1.48447 1.11538 0.67978 0.20365 -0.28463 -0.75593 -1.18216 -1.53790 -1.80194 -1.95853 -1.99834 -1.91899 -1.72521 -1.42856 -1.04674 -0.60249 -0.12232 0.36514 0.83083 1.24698 1.58877 1.83583 1.97342 1.99335 1.89441 1.68251 1.37028 0.97635 0.52420 0.04080 -0.44504 -0.90434 -1.30972 -1.63700 -1.86667 -1.98504 0.00000 2.00000 -1.98504 -1.86667 -1.63700 -1.30972 -0.90434 -0.44504 0.04080 0.52420 0.97635 1.37028 1.68251 1.89441 1.99335 1.97342 1.83583 1.58877 1.24698 0.83083 0.36514 -0.12232 -0.60249 -1.04674 -1.42856 -1.72521 -1.91899 -1.99834 -1.95853 -1.80194 -1.53790 -1.18216 -0.75593 -0.28463 0.20365 0.67978 1.11538 1.48447 1.76504 1.94037 0.00000 ... ... ..... ....... ..TT..... ........... ......TT..... E4g 2.00000 1.89441 1.58877 1.11538 0.52420 -0.12232 -0.75593 -1.30972 -1.72521 -1.95853 -1.98504 -1.80194 -1.42856 -0.90434 -0.28463 0.36514 0.97635 1.48447 1.83583 1.99335 1.94037 1.68251 1.24698 0.67978 0.04080 -0.60249 -1.18216 -1.63700 -1.91899 -1.99834 -1.86667 -1.53790 -1.04674 -0.44504 0.20365 0.83083 1.37028 1.76504 1.97342 0.00000 2.00000 1.97342 1.76504 1.37028 0.83083 0.20365 -0.44504 -1.04674 -1.53790 -1.86667 -1.99834 -1.91899 -1.63700 -1.18216 -0.60249 0.04080 0.67978 1.24698 1.68251 1.94037 1.99335 1.83583 1.48447 0.97635 0.36514 -0.28463 -0.90434 -1.42856 -1.80194 -1.98504 -1.95853 -1.72521 -1.30972 -0.75593 -0.12232 0.52420 1.11538 1.58877 1.89441 0.00000 ... ... ..... ....... TT....... ........... ....TT....... E5g 2.00000 1.83583 1.37028 0.67978 -0.12232 -0.90434 -1.53790 -1.91899 -1.98504 -1.72521 -1.18216 -0.44504 0.36514 1.11538 1.68251 1.97342 1.94037 1.58877 0.97635 0.20365 -0.60249 -1.30972 -1.80194 -1.99834 -1.86667 -1.42856 -0.75593 0.04080 0.83083 1.48447 1.89441 1.99335 1.76504 1.24698 0.52420 -0.28463 -1.04674 -1.63700 -1.95853 0.00000 2.00000 -1.95853 -1.63700 -1.04674 -0.28463 0.52420 1.24698 1.76504 1.99335 1.89441 1.48447 0.83083 0.04080 -0.75593 -1.42856 -1.86667 -1.99834 -1.80194 -1.30972 -0.60249 0.20365 0.97635 1.58877 1.94037 1.97342 1.68251 1.11538 0.36514 -0.44504 -1.18216 -1.72521 -1.98504 -1.91899 -1.53790 -0.90434 -0.12232 0.67978 1.37028 1.83583 0.00000 ... ... ..... ....... ......... ........... ..TT......... E6g 2.00000 1.76504 1.11538 0.20365 -0.75593 -1.53790 -1.95853 -1.91899 -1.42856 -0.60249 0.36514 1.24698 1.83583 1.99335 1.68251 0.97635 0.04080 -0.90434 -1.63700 -1.98504 -1.86667 -1.30972 -0.44504 0.52420 1.37028 1.89441 1.97342 1.58877 0.83083 -0.12232 -1.04674 -1.72521 -1.99834 -1.80194 -1.18216 -0.28463 0.67978 1.48447 1.94037 0.00000 2.00000 1.94037 1.48447 0.67978 -0.28463 -1.18216 -1.80194 -1.99834 -1.72521 -1.04674 -0.12232 0.83083 1.58877 1.97342 1.89441 1.37028 0.52420 -0.44504 -1.30972 -1.86667 -1.98504 -1.63700 -0.90434 0.04080 0.97635 1.68251 1.99335 1.83583 1.24698 0.36514 -0.60249 -1.42856 -1.91899 -1.95853 -1.53790 -0.75593 0.20365 1.11538 1.76504 0.00000 ... ... ..... ....... ......... ........... TT........... E7g 2.00000 1.68251 0.83083 -0.28463 -1.30972 -1.91899 -1.91899 -1.30972 -0.28463 0.83083 1.68251 2.00000 1.68251 0.83083 -0.28463 -1.30972 -1.91899 -1.91899 -1.30972 -0.28463 0.83083 1.68251 2.00000 1.68251 0.83083 -0.28463 -1.30972 -1.91899 -1.91899 -1.30972 -0.28463 0.83083 1.68251 2.00000 1.68251 0.83083 -0.28463 -1.30972 -1.91899 0.00000 2.00000 -1.91899 -1.30972 -0.28463 0.83083 1.68251 2.00000 1.68251 0.83083 -0.28463 -1.30972 -1.91899 -1.91899 -1.30972 -0.28463 0.83083 1.68251 2.00000 1.68251 0.83083 -0.28463 -1.30972 -1.91899 -1.91899 -1.30972 -0.28463 0.83083 1.68251 2.00000 1.68251 0.83083 -0.28463 -1.30972 -1.91899 -1.91899 -1.30972 -0.28463 0.83083 1.68251 0.00000 ... ... ..... ....... ......... ........... ............. E8g 2.00000 1.58877 0.52420 -0.75593 -1.72521 -1.98504 -1.42856 -0.28463 0.97635 1.83583 1.94037 1.24698 0.04080 -1.18216 -1.91899 -1.86667 -1.04674 0.20365 1.37028 1.97342 1.76504 0.83083 -0.44504 -1.53790 -1.99834 -1.63700 -0.60249 0.67978 1.68251 1.99335 1.48447 0.36514 -0.90434 -1.80194 -1.95853 -1.30972 -0.12232 1.11538 1.89441 0.00000 2.00000 1.89441 1.11538 -0.12232 -1.30972 -1.95853 -1.80194 -0.90434 0.36514 1.48447 1.99335 1.68251 0.67978 -0.60249 -1.63700 -1.99834 -1.53790 -0.44504 0.83083 1.76504 1.97342 1.37028 0.20365 -1.04674 -1.86667 -1.91899 -1.18216 0.04080 1.24698 1.94037 1.83583 0.97635 -0.28463 -1.42856 -1.98504 -1.72521 -0.75593 0.52420 1.58877 0.00000 ... ... ..... ....... ......... ........... ............. E9g 2.00000 1.48447 0.20365 -1.18216 -1.95853 -1.72521 -0.60249 0.83083 1.83583 1.89441 0.97635 -0.44504 -1.63700 -1.98504 -1.30972 0.04080 1.37028 1.99335 1.58877 0.36514 -1.04674 -1.91899 -1.80194 -0.75593 0.67978 1.76504 1.94037 1.11538 -0.28463 -1.53790 -1.99834 -1.42856 -0.12232 1.24698 1.97342 1.68251 0.52420 -0.90434 -1.86667 0.00000 2.00000 -1.86667 -0.90434 0.52420 1.68251 1.97342 1.24698 -0.12232 -1.42856 -1.99834 -1.53790 -0.28463 1.11538 1.94037 1.76504 0.67978 -0.75593 -1.80194 -1.91899 -1.04674 0.36514 1.58877 1.99335 1.37028 0.04080 -1.30972 -1.98504 -1.63700 -0.44504 0.97635 1.89441 1.83583 0.83083 -0.60249 -1.72521 -1.95853 -1.18216 0.20365 1.48447 0.00000 ... ... ..... ....... ......... ........... ............. E10g 2.00000 1.37028 -0.12232 -1.53790 -1.98504 -1.18216 0.36514 1.68251 1.94037 0.97635 -0.60249 -1.80194 -1.86667 -0.75593 0.83083 1.89441 1.76504 0.52420 -1.04674 -1.95853 -1.63700 -0.28463 1.24698 1.99335 1.48447 0.04080 -1.42856 -1.99834 -1.30972 0.20365 1.58877 1.97342 1.11538 -0.44504 -1.72521 -1.91899 -0.90434 0.67978 1.83583 0.00000 2.00000 1.83583 0.67978 -0.90434 -1.91899 -1.72521 -0.44504 1.11538 1.97342 1.58877 0.20365 -1.30972 -1.99834 -1.42856 0.04080 1.48447 1.99335 1.24698 -0.28463 -1.63700 -1.95853 -1.04674 0.52420 1.76504 1.89441 0.83083 -0.75593 -1.86667 -1.80194 -0.60249 0.97635 1.94037 1.68251 0.36514 -1.18216 -1.98504 -1.53790 -0.12232 1.37028 0.00000 ... ... ..... ....... ......... ........... ............. E11g 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 0.00000 2.00000 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 0.00000 ... ... ..... ....... ......... ........... ............. E12g 2.00000 1.11538 -0.75593 -1.95853 -1.42856 0.36514 1.83583 1.68251 0.04080 -1.63700 -1.86667 -0.44504 1.37028 1.97342 0.83083 -1.04674 -1.99834 -1.18216 0.67978 1.94037 1.48447 -0.28463 -1.80194 -1.72521 -0.12232 1.58877 1.89441 0.52420 -1.30972 -1.98504 -0.90434 0.97635 1.99335 1.24698 -0.60249 -1.91899 -1.53790 0.20365 1.76504 0.00000 2.00000 1.76504 0.20365 -1.53790 -1.91899 -0.60249 1.24698 1.99335 0.97635 -0.90434 -1.98504 -1.30972 0.52420 1.89441 1.58877 -0.12232 -1.72521 -1.80194 -0.28463 1.48447 1.94037 0.67978 -1.18216 -1.99834 -1.04674 0.83083 1.97342 1.37028 -0.44504 -1.86667 -1.63700 0.04080 1.68251 1.83583 0.36514 -1.42856 -1.95853 -0.75593 1.11538 0.00000 ... ... ..... ....... ......... ........... ............. E13g 2.00000 0.97635 -1.04674 -1.99834 -0.90434 1.11538 1.99335 0.83083 -1.18216 -1.98504 -0.75593 1.24698 1.97342 0.67978 -1.30972 -1.95853 -0.60249 1.37028 1.94037 0.52420 -1.42856 -1.91899 -0.44504 1.48447 1.89441 0.36514 -1.53790 -1.86667 -0.28463 1.58877 1.83583 0.20365 -1.63700 -1.80194 -0.12232 1.68251 1.76504 0.04080 -1.72521 0.00000 2.00000 -1.72521 0.04080 1.76504 1.68251 -0.12232 -1.80194 -1.63700 0.20365 1.83583 1.58877 -0.28463 -1.86667 -1.53790 0.36514 1.89441 1.48447 -0.44504 -1.91899 -1.42856 0.52420 1.94037 1.37028 -0.60249 -1.95853 -1.30972 0.67978 1.97342 1.24698 -0.75593 -1.98504 -1.18216 0.83083 1.99335 1.11538 -0.90434 -1.99834 -1.04674 0.97635 0.00000 ... ... ..... ....... ......... ........... ............. E14g 2.00000 0.83083 -1.30972 -1.91899 -0.28463 1.68251 1.68251 -0.28463 -1.91899 -1.30972 0.83083 2.00000 0.83083 -1.30972 -1.91899 -0.28463 1.68251 1.68251 -0.28463 -1.91899 -1.30972 0.83083 2.00000 0.83083 -1.30972 -1.91899 -0.28463 1.68251 1.68251 -0.28463 -1.91899 -1.30972 0.83083 2.00000 0.83083 -1.30972 -1.91899 -0.28463 1.68251 0.00000 2.00000 1.68251 -0.28463 -1.91899 -1.30972 0.83083 2.00000 0.83083 -1.30972 -1.91899 -0.28463 1.68251 1.68251 -0.28463 -1.91899 -1.30972 0.83083 2.00000 0.83083 -1.30972 -1.91899 -0.28463 1.68251 1.68251 -0.28463 -1.91899 -1.30972 0.83083 2.00000 0.83083 -1.30972 -1.91899 -0.28463 1.68251 1.68251 -0.28463 -1.91899 -1.30972 0.83083 0.00000 ... ... ..... ....... ......... ........... ............. E15g 2.00000 0.67978 -1.53790 -1.72521 0.36514 1.97342 0.97635 -1.30972 -1.86667 0.04080 1.89441 1.24698 -1.04674 -1.95853 -0.28463 1.76504 1.48447 -0.75593 -1.99834 -0.60249 1.58877 1.68251 -0.44504 -1.98504 -0.90434 1.37028 1.83583 -0.12232 -1.91899 -1.18216 1.11538 1.94037 0.20365 -1.80194 -1.42856 0.83083 1.99335 0.52420 -1.63700 0.00000 2.00000 -1.63700 0.52420 1.99335 0.83083 -1.42856 -1.80194 0.20365 1.94037 1.11538 -1.18216 -1.91899 -0.12232 1.83583 1.37028 -0.90434 -1.98504 -0.44504 1.68251 1.58877 -0.60249 -1.99834 -0.75593 1.48447 1.76504 -0.28463 -1.95853 -1.04674 1.24698 1.89441 0.04080 -1.86667 -1.30972 0.97635 1.97342 0.36514 -1.72521 -1.53790 0.67978 0.00000 ... ... ..... ....... ......... ........... ............. E16g 2.00000 0.52420 -1.72521 -1.42856 0.97635 1.94037 0.04080 -1.91899 -1.04674 1.37028 1.76504 -0.44504 -1.99834 -0.60249 1.68251 1.48447 -0.90434 -1.95853 -0.12232 1.89441 1.11538 -1.30972 -1.80194 0.36514 1.99335 0.67978 -1.63700 -1.53790 0.83083 1.97342 0.20365 -1.86667 -1.18216 1.24698 1.83583 -0.28463 -1.98504 -0.75593 1.58877 0.00000 2.00000 1.58877 -0.75593 -1.98504 -0.28463 1.83583 1.24698 -1.18216 -1.86667 0.20365 1.97342 0.83083 -1.53790 -1.63700 0.67978 1.99335 0.36514 -1.80194 -1.30972 1.11538 1.89441 -0.12232 -1.95853 -0.90434 1.48447 1.68251 -0.60249 -1.99834 -0.44504 1.76504 1.37028 -1.04674 -1.91899 0.04080 1.94037 0.97635 -1.42856 -1.72521 0.52420 0.00000 ... ... ..... ....... ......... ........... ............. E17g 2.00000 0.36514 -1.86667 -1.04674 1.48447 1.58877 -0.90434 -1.91899 0.20365 1.99335 0.52420 -1.80194 -1.18216 1.37028 1.68251 -0.75593 -1.95853 0.04080 1.97342 0.67978 -1.72521 -1.30972 1.24698 1.76504 -0.60249 -1.98504 -0.12232 1.94037 0.83083 -1.63700 -1.42856 1.11538 1.83583 -0.44504 -1.99834 -0.28463 1.89441 0.97635 -1.53790 0.00000 2.00000 -1.53790 0.97635 1.89441 -0.28463 -1.99834 -0.44504 1.83583 1.11538 -1.42856 -1.63700 0.83083 1.94037 -0.12232 -1.98504 -0.60249 1.76504 1.24698 -1.30972 -1.72521 0.67978 1.97342 0.04080 -1.95853 -0.75593 1.68251 1.37028 -1.18216 -1.80194 0.52420 1.99335 0.20365 -1.91899 -0.90434 1.58877 1.48447 -1.04674 -1.86667 0.36514 0.00000 ... ... ..... ....... ......... ........... ............. E18g 2.00000 0.20365 -1.95853 -0.60249 1.83583 0.97635 -1.63700 -1.30972 1.37028 1.58877 -1.04674 -1.80194 0.67978 1.94037 -0.28463 -1.99834 -0.12232 1.97342 0.52420 -1.86667 -0.90434 1.68251 1.24698 -1.42856 -1.53790 1.11538 1.76504 -0.75593 -1.91899 0.36514 1.99335 0.04080 -1.98504 -0.44504 1.89441 0.83083 -1.72521 -1.18216 1.48447 0.00000 2.00000 1.48447 -1.18216 -1.72521 0.83083 1.89441 -0.44504 -1.98504 0.04080 1.99335 0.36514 -1.91899 -0.75593 1.76504 1.11538 -1.53790 -1.42856 1.24698 1.68251 -0.90434 -1.86667 0.52420 1.97342 -0.12232 -1.99834 -0.28463 1.94037 0.67978 -1.80194 -1.04674 1.58877 1.37028 -1.30972 -1.63700 0.97635 1.83583 -0.60249 -1.95853 0.20365 0.00000 ... ... ..... ....... ......... ........... ............. E19g 2.00000 0.04080 -1.99834 -0.12232 1.99335 0.20365 -1.98504 -0.28463 1.97342 0.36514 -1.95853 -0.44504 1.94037 0.52420 -1.91899 -0.60249 1.89441 0.67978 -1.86667 -0.75593 1.83583 0.83083 -1.80194 -0.90434 1.76504 0.97635 -1.72521 -1.04674 1.68251 1.11538 -1.63700 -1.18216 1.58877 1.24698 -1.53790 -1.30972 1.48447 1.37028 -1.42856 0.00000 2.00000 -1.42856 1.37028 1.48447 -1.30972 -1.53790 1.24698 1.58877 -1.18216 -1.63700 1.11538 1.68251 -1.04674 -1.72521 0.97635 1.76504 -0.90434 -1.80194 0.83083 1.83583 -0.75593 -1.86667 0.67978 1.89441 -0.60249 -1.91899 0.52420 1.94037 -0.44504 -1.95853 0.36514 1.97342 -0.28463 -1.98504 0.20365 1.99335 -0.12232 -1.99834 0.04080 0.00000 ... ... ..... ....... ......... ........... ............. E20g 2.00000 -0.12232 -1.98504 0.36514 1.94037 -0.60249 -1.86667 0.83083 1.76504 -1.04674 -1.63700 1.24698 1.48447 -1.42856 -1.30972 1.58877 1.11538 -1.72521 -0.90434 1.83583 0.67978 -1.91899 -0.44504 1.97342 0.20365 -1.99834 0.04080 1.99335 -0.28463 -1.95853 0.52420 1.89441 -0.75593 -1.80194 0.97635 1.68251 -1.18216 -1.53790 1.37028 0.00000 2.00000 1.37028 -1.53790 -1.18216 1.68251 0.97635 -1.80194 -0.75593 1.89441 0.52420 -1.95853 -0.28463 1.99335 0.04080 -1.99834 0.20365 1.97342 -0.44504 -1.91899 0.67978 1.83583 -0.90434 -1.72521 1.11538 1.58877 -1.30972 -1.42856 1.48447 1.24698 -1.63700 -1.04674 1.76504 0.83083 -1.86667 -0.60249 1.94037 0.36514 -1.98504 -0.12232 0.00000 ... ... ..... ....... ......... ........... ............. E21g 2.00000 -0.28463 -1.91899 0.83083 1.68251 -1.30972 -1.30972 1.68251 0.83083 -1.91899 -0.28463 2.00000 -0.28463 -1.91899 0.83083 1.68251 -1.30972 -1.30972 1.68251 0.83083 -1.91899 -0.28463 2.00000 -0.28463 -1.91899 0.83083 1.68251 -1.30972 -1.30972 1.68251 0.83083 -1.91899 -0.28463 2.00000 -0.28463 -1.91899 0.83083 1.68251 -1.30972 0.00000 2.00000 -1.30972 1.68251 0.83083 -1.91899 -0.28463 2.00000 -0.28463 -1.91899 0.83083 1.68251 -1.30972 -1.30972 1.68251 0.83083 -1.91899 -0.28463 2.00000 -0.28463 -1.91899 0.83083 1.68251 -1.30972 -1.30972 1.68251 0.83083 -1.91899 -0.28463 2.00000 -0.28463 -1.91899 0.83083 1.68251 -1.30972 -1.30972 1.68251 0.83083 -1.91899 -0.28463 0.00000 ... ... ..... ....... ......... ........... ............. E22g 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 0.00000 2.00000 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 0.00000 ... ... ..... ....... ......... ........... ............. E23g 2.00000 -0.60249 -1.63700 1.58877 0.67978 -1.99834 0.52420 1.68251 -1.53790 -0.75593 1.99335 -0.44504 -1.72521 1.48447 0.83083 -1.98504 0.36514 1.76504 -1.42856 -0.90434 1.97342 -0.28463 -1.80194 1.37028 0.97635 -1.95853 0.20365 1.83583 -1.30972 -1.04674 1.94037 -0.12232 -1.86667 1.24698 1.11538 -1.91899 0.04080 1.89441 -1.18216 0.00000 2.00000 -1.18216 1.89441 0.04080 -1.91899 1.11538 1.24698 -1.86667 -0.12232 1.94037 -1.04674 -1.30972 1.83583 0.20365 -1.95853 0.97635 1.37028 -1.80194 -0.28463 1.97342 -0.90434 -1.42856 1.76504 0.36514 -1.98504 0.83083 1.48447 -1.72521 -0.44504 1.99335 -0.75593 -1.53790 1.68251 0.52420 -1.99834 0.67978 1.58877 -1.63700 -0.60249 0.00000 ... ... ..... ....... ......... ........... ............. E24g 2.00000 -0.75593 -1.42856 1.83583 0.04080 -1.86667 1.37028 0.83083 -1.99834 0.67978 1.48447 -1.80194 -0.12232 1.89441 -1.30972 -0.90434 1.99335 -0.60249 -1.53790 1.76504 0.20365 -1.91899 1.24698 0.97635 -1.98504 0.52420 1.58877 -1.72521 -0.28463 1.94037 -1.18216 -1.04674 1.97342 -0.44504 -1.63700 1.68251 0.36514 -1.95853 1.11538 0.00000 2.00000 1.11538 -1.95853 0.36514 1.68251 -1.63700 -0.44504 1.97342 -1.04674 -1.18216 1.94037 -0.28463 -1.72521 1.58877 0.52420 -1.98504 0.97635 1.24698 -1.91899 0.20365 1.76504 -1.53790 -0.60249 1.99335 -0.90434 -1.30972 1.89441 -0.12232 -1.80194 1.48447 0.67978 -1.99834 0.83083 1.37028 -1.86667 0.04080 1.83583 -1.42856 -0.75593 0.00000 ... ... ..... ....... ......... ........... ............. E25g 2.00000 -0.90434 -1.18216 1.97342 -0.60249 -1.42856 1.89441 -0.28463 -1.63700 1.76504 0.04080 -1.80194 1.58877 0.36514 -1.91899 1.37028 0.67978 -1.98504 1.11538 0.97635 -1.99834 0.83083 1.24698 -1.95853 0.52420 1.48447 -1.86667 0.20365 1.68251 -1.72521 -0.12232 1.83583 -1.53790 -0.44504 1.94037 -1.30972 -0.75593 1.99335 -1.04674 0.00000 2.00000 -1.04674 1.99335 -0.75593 -1.30972 1.94037 -0.44504 -1.53790 1.83583 -0.12232 -1.72521 1.68251 0.20365 -1.86667 1.48447 0.52420 -1.95853 1.24698 0.83083 -1.99834 0.97635 1.11538 -1.98504 0.67978 1.37028 -1.91899 0.36514 1.58877 -1.80194 0.04080 1.76504 -1.63700 -0.28463 1.89441 -1.42856 -0.60249 1.97342 -1.18216 -0.90434 0.00000 ... ... ..... ....... ......... ........... ............. E26g 2.00000 -1.04674 -0.90434 1.99335 -1.18216 -0.75593 1.97342 -1.30972 -0.60249 1.94037 -1.42856 -0.44504 1.89441 -1.53790 -0.28463 1.83583 -1.63700 -0.12232 1.76504 -1.72521 0.04080 1.68251 -1.80194 0.20365 1.58877 -1.86667 0.36514 1.48447 -1.91899 0.52420 1.37028 -1.95853 0.67978 1.24698 -1.98504 0.83083 1.11538 -1.99834 0.97635 0.00000 2.00000 0.97635 -1.99834 1.11538 0.83083 -1.98504 1.24698 0.67978 -1.95853 1.37028 0.52420 -1.91899 1.48447 0.36514 -1.86667 1.58877 0.20365 -1.80194 1.68251 0.04080 -1.72521 1.76504 -0.12232 -1.63700 1.83583 -0.28463 -1.53790 1.89441 -0.44504 -1.42856 1.94037 -0.60249 -1.30972 1.97342 -0.75593 -1.18216 1.99335 -0.90434 -1.04674 0.00000 ... ... ..... ....... ......... ........... ............. E27g 2.00000 -1.18216 -0.60249 1.89441 -1.63700 0.04080 1.58877 -1.91899 0.67978 1.11538 -1.99834 1.24698 0.52420 -1.86667 1.68251 -0.12232 -1.53790 1.94037 -0.75593 -1.04674 1.99335 -1.30972 -0.44504 1.83583 -1.72521 0.20365 1.48447 -1.95853 0.83083 0.97635 -1.98504 1.37028 0.36514 -1.80194 1.76504 -0.28463 -1.42856 1.97342 -0.90434 0.00000 2.00000 -0.90434 1.97342 -1.42856 -0.28463 1.76504 -1.80194 0.36514 1.37028 -1.98504 0.97635 0.83083 -1.95853 1.48447 0.20365 -1.72521 1.83583 -0.44504 -1.30972 1.99335 -1.04674 -0.75593 1.94037 -1.53790 -0.12232 1.68251 -1.86667 0.52420 1.24698 -1.99834 1.11538 0.67978 -1.91899 1.58877 0.04080 -1.63700 1.89441 -0.60249 -1.18216 0.00000 ... ... ..... ....... ......... ........... ............. E28g 2.00000 -1.30972 -0.28463 1.68251 -1.91899 0.83083 0.83083 -1.91899 1.68251 -0.28463 -1.30972 2.00000 -1.30972 -0.28463 1.68251 -1.91899 0.83083 0.83083 -1.91899 1.68251 -0.28463 -1.30972 2.00000 -1.30972 -0.28463 1.68251 -1.91899 0.83083 0.83083 -1.91899 1.68251 -0.28463 -1.30972 2.00000 -1.30972 -0.28463 1.68251 -1.91899 0.83083 0.00000 2.00000 0.83083 -1.91899 1.68251 -0.28463 -1.30972 2.00000 -1.30972 -0.28463 1.68251 -1.91899 0.83083 0.83083 -1.91899 1.68251 -0.28463 -1.30972 2.00000 -1.30972 -0.28463 1.68251 -1.91899 0.83083 0.83083 -1.91899 1.68251 -0.28463 -1.30972 2.00000 -1.30972 -0.28463 1.68251 -1.91899 0.83083 0.83083 -1.91899 1.68251 -0.28463 -1.30972 0.00000 ... ... ..... ....... ......... ........... ............. E29g 2.00000 -1.42856 0.04080 1.37028 -1.99834 1.48447 -0.12232 -1.30972 1.99335 -1.53790 0.20365 1.24698 -1.98504 1.58877 -0.28463 -1.18216 1.97342 -1.63700 0.36514 1.11538 -1.95853 1.68251 -0.44504 -1.04674 1.94037 -1.72521 0.52420 0.97635 -1.91899 1.76504 -0.60249 -0.90434 1.89441 -1.80194 0.67978 0.83083 -1.86667 1.83583 -0.75593 0.00000 2.00000 -0.75593 1.83583 -1.86667 0.83083 0.67978 -1.80194 1.89441 -0.90434 -0.60249 1.76504 -1.91899 0.97635 0.52420 -1.72521 1.94037 -1.04674 -0.44504 1.68251 -1.95853 1.11538 0.36514 -1.63700 1.97342 -1.18216 -0.28463 1.58877 -1.98504 1.24698 0.20365 -1.53790 1.99335 -1.30972 -0.12232 1.48447 -1.99834 1.37028 0.04080 -1.42856 0.00000 ... ... ..... ....... ......... ........... ............. E30g 2.00000 -1.53790 0.36514 0.97635 -1.86667 1.89441 -1.04674 -0.28463 1.48447 -1.99834 1.58877 -0.44504 -0.90434 1.83583 -1.91899 1.11538 0.20365 -1.42856 1.99335 -1.63700 0.52420 0.83083 -1.80194 1.94037 -1.18216 -0.12232 1.37028 -1.98504 1.68251 -0.60249 -0.75593 1.76504 -1.95853 1.24698 0.04080 -1.30972 1.97342 -1.72521 0.67978 0.00000 2.00000 0.67978 -1.72521 1.97342 -1.30972 0.04080 1.24698 -1.95853 1.76504 -0.75593 -0.60249 1.68251 -1.98504 1.37028 -0.12232 -1.18216 1.94037 -1.80194 0.83083 0.52420 -1.63700 1.99335 -1.42856 0.20365 1.11538 -1.91899 1.83583 -0.90434 -0.44504 1.58877 -1.99834 1.48447 -0.28463 -1.04674 1.89441 -1.86667 0.97635 0.36514 -1.53790 0.00000 ... ... ..... ....... ......... ........... ............. E31g 2.00000 -1.63700 0.67978 0.52420 -1.53790 1.99335 -1.72521 0.83083 0.36514 -1.42856 1.97342 -1.80194 0.97635 0.20365 -1.30972 1.94037 -1.86667 1.11538 0.04080 -1.18216 1.89441 -1.91899 1.24698 -0.12232 -1.04674 1.83583 -1.95853 1.37028 -0.28463 -0.90434 1.76504 -1.98504 1.48447 -0.44504 -0.75593 1.68251 -1.99834 1.58877 -0.60249 0.00000 2.00000 -0.60249 1.58877 -1.99834 1.68251 -0.75593 -0.44504 1.48447 -1.98504 1.76504 -0.90434 -0.28463 1.37028 -1.95853 1.83583 -1.04674 -0.12232 1.24698 -1.91899 1.89441 -1.18216 0.04080 1.11538 -1.86667 1.94037 -1.30972 0.20365 0.97635 -1.80194 1.97342 -1.42856 0.36514 0.83083 -1.72521 1.99335 -1.53790 0.52420 0.67978 -1.63700 0.00000 ... ... ..... ....... ......... ........... ............. E32g 2.00000 -1.72521 0.97635 0.04080 -1.04674 1.76504 -1.99834 1.68251 -0.90434 -0.12232 1.11538 -1.80194 1.99335 -1.63700 0.83083 0.20365 -1.18216 1.83583 -1.98504 1.58877 -0.75593 -0.28463 1.24698 -1.86667 1.97342 -1.53790 0.67978 0.36514 -1.30972 1.89441 -1.95853 1.48447 -0.60249 -0.44504 1.37028 -1.91899 1.94037 -1.42856 0.52420 0.00000 2.00000 0.52420 -1.42856 1.94037 -1.91899 1.37028 -0.44504 -0.60249 1.48447 -1.95853 1.89441 -1.30972 0.36514 0.67978 -1.53790 1.97342 -1.86667 1.24698 -0.28463 -0.75593 1.58877 -1.98504 1.83583 -1.18216 0.20365 0.83083 -1.63700 1.99335 -1.80194 1.11538 -0.12232 -0.90434 1.68251 -1.99834 1.76504 -1.04674 0.04080 0.97635 -1.72521 0.00000 ... ... ..... ....... ......... ........... ............. E33g 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 0.00000 2.00000 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 0.00000 ... ... ..... ....... ......... ........... ............. E34g 2.00000 -1.86667 1.48447 -0.90434 0.20365 0.52420 -1.18216 1.68251 -1.95853 1.97342 -1.72521 1.24698 -0.60249 -0.12232 0.83083 -1.42856 1.83583 -1.99834 1.89441 -1.53790 0.97635 -0.28463 -0.44504 1.11538 -1.63700 1.94037 -1.98504 1.76504 -1.30972 0.67978 0.04080 -0.75593 1.37028 -1.80194 1.99335 -1.91899 1.58877 -1.04674 0.36514 0.00000 2.00000 0.36514 -1.04674 1.58877 -1.91899 1.99335 -1.80194 1.37028 -0.75593 0.04080 0.67978 -1.30972 1.76504 -1.98504 1.94037 -1.63700 1.11538 -0.44504 -0.28463 0.97635 -1.53790 1.89441 -1.99834 1.83583 -1.42856 0.83083 -0.12232 -0.60249 1.24698 -1.72521 1.97342 -1.95853 1.68251 -1.18216 0.52420 0.20365 -0.90434 1.48447 -1.86667 0.00000 ... ... ..... ....... ......... ........... ............. E35g 2.00000 -1.91899 1.68251 -1.30972 0.83083 -0.28463 -0.28463 0.83083 -1.30972 1.68251 -1.91899 2.00000 -1.91899 1.68251 -1.30972 0.83083 -0.28463 -0.28463 0.83083 -1.30972 1.68251 -1.91899 2.00000 -1.91899 1.68251 -1.30972 0.83083 -0.28463 -0.28463 0.83083 -1.30972 1.68251 -1.91899 2.00000 -1.91899 1.68251 -1.30972 0.83083 -0.28463 0.00000 2.00000 -0.28463 0.83083 -1.30972 1.68251 -1.91899 2.00000 -1.91899 1.68251 -1.30972 0.83083 -0.28463 -0.28463 0.83083 -1.30972 1.68251 -1.91899 2.00000 -1.91899 1.68251 -1.30972 0.83083 -0.28463 -0.28463 0.83083 -1.30972 1.68251 -1.91899 2.00000 -1.91899 1.68251 -1.30972 0.83083 -0.28463 -0.28463 0.83083 -1.30972 1.68251 -1.91899 0.00000 ... ... ..... ....... ......... ........... ............. E36g 2.00000 -1.95853 1.83583 -1.63700 1.37028 -1.04674 0.67978 -0.28463 -0.12232 0.52420 -0.90434 1.24698 -1.53790 1.76504 -1.91899 1.99335 -1.98504 1.89441 -1.72521 1.48447 -1.18216 0.83083 -0.44504 0.04080 0.36514 -0.75593 1.11538 -1.42856 1.68251 -1.86667 1.97342 -1.99834 1.94037 -1.80194 1.58877 -1.30972 0.97635 -0.60249 0.20365 0.00000 2.00000 0.20365 -0.60249 0.97635 -1.30972 1.58877 -1.80194 1.94037 -1.99834 1.97342 -1.86667 1.68251 -1.42856 1.11538 -0.75593 0.36514 0.04080 -0.44504 0.83083 -1.18216 1.48447 -1.72521 1.89441 -1.98504 1.99335 -1.91899 1.76504 -1.53790 1.24698 -0.90434 0.52420 -0.12232 -0.28463 0.67978 -1.04674 1.37028 -1.63700 1.83583 -1.95853 0.00000 ... ... ..... ....... ......... ........... ............. E37g 2.00000 -1.98504 1.94037 -1.86667 1.76504 -1.63700 1.48447 -1.30972 1.11538 -0.90434 0.67978 -0.44504 0.20365 0.04080 -0.28463 0.52420 -0.75593 0.97635 -1.18216 1.37028 -1.53790 1.68251 -1.80194 1.89441 -1.95853 1.99335 -1.99834 1.97342 -1.91899 1.83583 -1.72521 1.58877 -1.42856 1.24698 -1.04674 0.83083 -0.60249 0.36514 -0.12232 0.00000 2.00000 -0.12232 0.36514 -0.60249 0.83083 -1.04674 1.24698 -1.42856 1.58877 -1.72521 1.83583 -1.91899 1.97342 -1.99834 1.99335 -1.95853 1.89441 -1.80194 1.68251 -1.53790 1.37028 -1.18216 0.97635 -0.75593 0.52420 -0.28463 0.04080 0.20365 -0.44504 0.67978 -0.90434 1.11538 -1.30972 1.48447 -1.63700 1.76504 -1.86667 1.94037 -1.98504 0.00000 ... ... ..... ....... ......... ........... ............. E38g 2.00000 -1.99834 1.99335 -1.98504 1.97342 -1.95853 1.94037 -1.91899 1.89441 -1.86667 1.83583 -1.80194 1.76504 -1.72521 1.68251 -1.63700 1.58877 -1.53790 1.48447 -1.42856 1.37028 -1.30972 1.24698 -1.18216 1.11538 -1.04674 0.97635 -0.90434 0.83083 -0.75593 0.67978 -0.60249 0.52420 -0.44504 0.36514 -0.28463 0.20365 -0.12232 0.04080 0.00000 2.00000 0.04080 -0.12232 0.20365 -0.28463 0.36514 -0.44504 0.52420 -0.60249 0.67978 -0.75593 0.83083 -0.90434 0.97635 -1.04674 1.11538 -1.18216 1.24698 -1.30972 1.37028 -1.42856 1.48447 -1.53790 1.58877 -1.63700 1.68251 -1.72521 1.76504 -1.80194 1.83583 -1.86667 1.89441 -1.91899 1.94037 -1.95853 1.97342 -1.98504 1.99335 -1.99834 0.00000 ... ... ..... ....... ......... ........... ............. A1u 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 ... ... ..... ....... ......... ........... ............. A2u 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -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 ............. E1u 2.00000 1.99335 1.97342 1.94037 1.89441 1.83583 1.76504 1.68251 1.58877 1.48447 1.37028 1.24698 1.11538 0.97635 0.83083 0.67978 0.52420 0.36514 0.20365 0.04080 -0.12232 -0.28463 -0.44504 -0.60249 -0.75593 -0.90434 -1.04674 -1.18216 -1.30972 -1.42856 -1.53790 -1.63700 -1.72521 -1.80194 -1.86667 -1.91899 -1.95853 -1.98504 -1.99834 0.00000 -2.00000 1.99834 1.98504 1.95853 1.91899 1.86667 1.80194 1.72521 1.63700 1.53790 1.42856 1.30972 1.18216 1.04674 0.90434 0.75593 0.60249 0.44504 0.28463 0.12232 -0.04080 -0.20365 -0.36514 -0.52420 -0.67978 -0.83083 -0.97635 -1.11538 -1.24698 -1.37028 -1.48447 -1.58877 -1.68251 -1.76504 -1.83583 -1.89441 -1.94037 -1.97342 -1.99335 0.00000 ... TT. ..... ....TT. ......... ........TT. ............. E2u 2.00000 1.97342 1.89441 1.76504 1.58877 1.37028 1.11538 0.83083 0.52420 0.20365 -0.12232 -0.44504 -0.75593 -1.04674 -1.30972 -1.53790 -1.72521 -1.86667 -1.95853 -1.99834 -1.98504 -1.91899 -1.80194 -1.63700 -1.42856 -1.18216 -0.90434 -0.60249 -0.28463 0.04080 0.36514 0.67978 0.97635 1.24698 1.48447 1.68251 1.83583 1.94037 1.99335 0.00000 -2.00000 -1.99335 -1.94037 -1.83583 -1.68251 -1.48447 -1.24698 -0.97635 -0.67978 -0.36514 -0.04080 0.28463 0.60249 0.90434 1.18216 1.42856 1.63700 1.80194 1.91899 1.98504 1.99834 1.95853 1.86667 1.72521 1.53790 1.30972 1.04674 0.75593 0.44504 0.12232 -0.20365 -0.52420 -0.83083 -1.11538 -1.37028 -1.58877 -1.76504 -1.89441 -1.97342 0.00000 ... ... ..... ..TT... ......... ......TT... ............. E3u 2.00000 1.94037 1.76504 1.48447 1.11538 0.67978 0.20365 -0.28463 -0.75593 -1.18216 -1.53790 -1.80194 -1.95853 -1.99834 -1.91899 -1.72521 -1.42856 -1.04674 -0.60249 -0.12232 0.36514 0.83083 1.24698 1.58877 1.83583 1.97342 1.99335 1.89441 1.68251 1.37028 0.97635 0.52420 0.04080 -0.44504 -0.90434 -1.30972 -1.63700 -1.86667 -1.98504 0.00000 -2.00000 1.98504 1.86667 1.63700 1.30972 0.90434 0.44504 -0.04080 -0.52420 -0.97635 -1.37028 -1.68251 -1.89441 -1.99335 -1.97342 -1.83583 -1.58877 -1.24698 -0.83083 -0.36514 0.12232 0.60249 1.04674 1.42856 1.72521 1.91899 1.99834 1.95853 1.80194 1.53790 1.18216 0.75593 0.28463 -0.20365 -0.67978 -1.11538 -1.48447 -1.76504 -1.94037 0.00000 ... ... ..... TT..... ......... ....TT..... ............. E4u 2.00000 1.89441 1.58877 1.11538 0.52420 -0.12232 -0.75593 -1.30972 -1.72521 -1.95853 -1.98504 -1.80194 -1.42856 -0.90434 -0.28463 0.36514 0.97635 1.48447 1.83583 1.99335 1.94037 1.68251 1.24698 0.67978 0.04080 -0.60249 -1.18216 -1.63700 -1.91899 -1.99834 -1.86667 -1.53790 -1.04674 -0.44504 0.20365 0.83083 1.37028 1.76504 1.97342 0.00000 -2.00000 -1.97342 -1.76504 -1.37028 -0.83083 -0.20365 0.44504 1.04674 1.53790 1.86667 1.99834 1.91899 1.63700 1.18216 0.60249 -0.04080 -0.67978 -1.24698 -1.68251 -1.94037 -1.99335 -1.83583 -1.48447 -0.97635 -0.36514 0.28463 0.90434 1.42856 1.80194 1.98504 1.95853 1.72521 1.30972 0.75593 0.12232 -0.52420 -1.11538 -1.58877 -1.89441 0.00000 ... ... ..... ....... ......... ..TT....... ............. E5u 2.00000 1.83583 1.37028 0.67978 -0.12232 -0.90434 -1.53790 -1.91899 -1.98504 -1.72521 -1.18216 -0.44504 0.36514 1.11538 1.68251 1.97342 1.94037 1.58877 0.97635 0.20365 -0.60249 -1.30972 -1.80194 -1.99834 -1.86667 -1.42856 -0.75593 0.04080 0.83083 1.48447 1.89441 1.99335 1.76504 1.24698 0.52420 -0.28463 -1.04674 -1.63700 -1.95853 0.00000 -2.00000 1.95853 1.63700 1.04674 0.28463 -0.52420 -1.24698 -1.76504 -1.99335 -1.89441 -1.48447 -0.83083 -0.04080 0.75593 1.42856 1.86667 1.99834 1.80194 1.30972 0.60249 -0.20365 -0.97635 -1.58877 -1.94037 -1.97342 -1.68251 -1.11538 -0.36514 0.44504 1.18216 1.72521 1.98504 1.91899 1.53790 0.90434 0.12232 -0.67978 -1.37028 -1.83583 0.00000 ... ... ..... ....... ......... TT......... ............. E6u 2.00000 1.76504 1.11538 0.20365 -0.75593 -1.53790 -1.95853 -1.91899 -1.42856 -0.60249 0.36514 1.24698 1.83583 1.99335 1.68251 0.97635 0.04080 -0.90434 -1.63700 -1.98504 -1.86667 -1.30972 -0.44504 0.52420 1.37028 1.89441 1.97342 1.58877 0.83083 -0.12232 -1.04674 -1.72521 -1.99834 -1.80194 -1.18216 -0.28463 0.67978 1.48447 1.94037 0.00000 -2.00000 -1.94037 -1.48447 -0.67978 0.28463 1.18216 1.80194 1.99834 1.72521 1.04674 0.12232 -0.83083 -1.58877 -1.97342 -1.89441 -1.37028 -0.52420 0.44504 1.30972 1.86667 1.98504 1.63700 0.90434 -0.04080 -0.97635 -1.68251 -1.99335 -1.83583 -1.24698 -0.36514 0.60249 1.42856 1.91899 1.95853 1.53790 0.75593 -0.20365 -1.11538 -1.76504 0.00000 ... ... ..... ....... ......... ........... ............. E7u 2.00000 1.68251 0.83083 -0.28463 -1.30972 -1.91899 -1.91899 -1.30972 -0.28463 0.83083 1.68251 2.00000 1.68251 0.83083 -0.28463 -1.30972 -1.91899 -1.91899 -1.30972 -0.28463 0.83083 1.68251 2.00000 1.68251 0.83083 -0.28463 -1.30972 -1.91899 -1.91899 -1.30972 -0.28463 0.83083 1.68251 2.00000 1.68251 0.83083 -0.28463 -1.30972 -1.91899 0.00000 -2.00000 1.91899 1.30972 0.28463 -0.83083 -1.68251 -2.00000 -1.68251 -0.83083 0.28463 1.30972 1.91899 1.91899 1.30972 0.28463 -0.83083 -1.68251 -2.00000 -1.68251 -0.83083 0.28463 1.30972 1.91899 1.91899 1.30972 0.28463 -0.83083 -1.68251 -2.00000 -1.68251 -0.83083 0.28463 1.30972 1.91899 1.91899 1.30972 0.28463 -0.83083 -1.68251 0.00000 ... ... ..... ....... ......... ........... ............. E8u 2.00000 1.58877 0.52420 -0.75593 -1.72521 -1.98504 -1.42856 -0.28463 0.97635 1.83583 1.94037 1.24698 0.04080 -1.18216 -1.91899 -1.86667 -1.04674 0.20365 1.37028 1.97342 1.76504 0.83083 -0.44504 -1.53790 -1.99834 -1.63700 -0.60249 0.67978 1.68251 1.99335 1.48447 0.36514 -0.90434 -1.80194 -1.95853 -1.30972 -0.12232 1.11538 1.89441 0.00000 -2.00000 -1.89441 -1.11538 0.12232 1.30972 1.95853 1.80194 0.90434 -0.36514 -1.48447 -1.99335 -1.68251 -0.67978 0.60249 1.63700 1.99834 1.53790 0.44504 -0.83083 -1.76504 -1.97342 -1.37028 -0.20365 1.04674 1.86667 1.91899 1.18216 -0.04080 -1.24698 -1.94037 -1.83583 -0.97635 0.28463 1.42856 1.98504 1.72521 0.75593 -0.52420 -1.58877 0.00000 ... ... ..... ....... ......... ........... ............. E9u 2.00000 1.48447 0.20365 -1.18216 -1.95853 -1.72521 -0.60249 0.83083 1.83583 1.89441 0.97635 -0.44504 -1.63700 -1.98504 -1.30972 0.04080 1.37028 1.99335 1.58877 0.36514 -1.04674 -1.91899 -1.80194 -0.75593 0.67978 1.76504 1.94037 1.11538 -0.28463 -1.53790 -1.99834 -1.42856 -0.12232 1.24698 1.97342 1.68251 0.52420 -0.90434 -1.86667 0.00000 -2.00000 1.86667 0.90434 -0.52420 -1.68251 -1.97342 -1.24698 0.12232 1.42856 1.99834 1.53790 0.28463 -1.11538 -1.94037 -1.76504 -0.67978 0.75593 1.80194 1.91899 1.04674 -0.36514 -1.58877 -1.99335 -1.37028 -0.04080 1.30972 1.98504 1.63700 0.44504 -0.97635 -1.89441 -1.83583 -0.83083 0.60249 1.72521 1.95853 1.18216 -0.20365 -1.48447 0.00000 ... ... ..... ....... ......... ........... ............. E10u 2.00000 1.37028 -0.12232 -1.53790 -1.98504 -1.18216 0.36514 1.68251 1.94037 0.97635 -0.60249 -1.80194 -1.86667 -0.75593 0.83083 1.89441 1.76504 0.52420 -1.04674 -1.95853 -1.63700 -0.28463 1.24698 1.99335 1.48447 0.04080 -1.42856 -1.99834 -1.30972 0.20365 1.58877 1.97342 1.11538 -0.44504 -1.72521 -1.91899 -0.90434 0.67978 1.83583 0.00000 -2.00000 -1.83583 -0.67978 0.90434 1.91899 1.72521 0.44504 -1.11538 -1.97342 -1.58877 -0.20365 1.30972 1.99834 1.42856 -0.04080 -1.48447 -1.99335 -1.24698 0.28463 1.63700 1.95853 1.04674 -0.52420 -1.76504 -1.89441 -0.83083 0.75593 1.86667 1.80194 0.60249 -0.97635 -1.94037 -1.68251 -0.36514 1.18216 1.98504 1.53790 0.12232 -1.37028 0.00000 ... ... ..... ....... ......... ........... ............. E11u 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 0.00000 -2.00000 1.80194 0.44504 -1.24698 -2.00000 -1.24698 0.44504 1.80194 1.80194 0.44504 -1.24698 -2.00000 -1.24698 0.44504 1.80194 1.80194 0.44504 -1.24698 -2.00000 -1.24698 0.44504 1.80194 1.80194 0.44504 -1.24698 -2.00000 -1.24698 0.44504 1.80194 1.80194 0.44504 -1.24698 -2.00000 -1.24698 0.44504 1.80194 1.80194 0.44504 -1.24698 0.00000 ... ... ..... ....... ......... ........... ............. E12u 2.00000 1.11538 -0.75593 -1.95853 -1.42856 0.36514 1.83583 1.68251 0.04080 -1.63700 -1.86667 -0.44504 1.37028 1.97342 0.83083 -1.04674 -1.99834 -1.18216 0.67978 1.94037 1.48447 -0.28463 -1.80194 -1.72521 -0.12232 1.58877 1.89441 0.52420 -1.30972 -1.98504 -0.90434 0.97635 1.99335 1.24698 -0.60249 -1.91899 -1.53790 0.20365 1.76504 0.00000 -2.00000 -1.76504 -0.20365 1.53790 1.91899 0.60249 -1.24698 -1.99335 -0.97635 0.90434 1.98504 1.30972 -0.52420 -1.89441 -1.58877 0.12232 1.72521 1.80194 0.28463 -1.48447 -1.94037 -0.67978 1.18216 1.99834 1.04674 -0.83083 -1.97342 -1.37028 0.44504 1.86667 1.63700 -0.04080 -1.68251 -1.83583 -0.36514 1.42856 1.95853 0.75593 -1.11538 0.00000 ... ... ..... ....... ......... ........... ............. E13u 2.00000 0.97635 -1.04674 -1.99834 -0.90434 1.11538 1.99335 0.83083 -1.18216 -1.98504 -0.75593 1.24698 1.97342 0.67978 -1.30972 -1.95853 -0.60249 1.37028 1.94037 0.52420 -1.42856 -1.91899 -0.44504 1.48447 1.89441 0.36514 -1.53790 -1.86667 -0.28463 1.58877 1.83583 0.20365 -1.63700 -1.80194 -0.12232 1.68251 1.76504 0.04080 -1.72521 0.00000 -2.00000 1.72521 -0.04080 -1.76504 -1.68251 0.12232 1.80194 1.63700 -0.20365 -1.83583 -1.58877 0.28463 1.86667 1.53790 -0.36514 -1.89441 -1.48447 0.44504 1.91899 1.42856 -0.52420 -1.94037 -1.37028 0.60249 1.95853 1.30972 -0.67978 -1.97342 -1.24698 0.75593 1.98504 1.18216 -0.83083 -1.99335 -1.11538 0.90434 1.99834 1.04674 -0.97635 0.00000 ... ... ..... ....... ......... ........... ............. E14u 2.00000 0.83083 -1.30972 -1.91899 -0.28463 1.68251 1.68251 -0.28463 -1.91899 -1.30972 0.83083 2.00000 0.83083 -1.30972 -1.91899 -0.28463 1.68251 1.68251 -0.28463 -1.91899 -1.30972 0.83083 2.00000 0.83083 -1.30972 -1.91899 -0.28463 1.68251 1.68251 -0.28463 -1.91899 -1.30972 0.83083 2.00000 0.83083 -1.30972 -1.91899 -0.28463 1.68251 0.00000 -2.00000 -1.68251 0.28463 1.91899 1.30972 -0.83083 -2.00000 -0.83083 1.30972 1.91899 0.28463 -1.68251 -1.68251 0.28463 1.91899 1.30972 -0.83083 -2.00000 -0.83083 1.30972 1.91899 0.28463 -1.68251 -1.68251 0.28463 1.91899 1.30972 -0.83083 -2.00000 -0.83083 1.30972 1.91899 0.28463 -1.68251 -1.68251 0.28463 1.91899 1.30972 -0.83083 0.00000 ... ... ..... ....... ......... ........... ............. E15u 2.00000 0.67978 -1.53790 -1.72521 0.36514 1.97342 0.97635 -1.30972 -1.86667 0.04080 1.89441 1.24698 -1.04674 -1.95853 -0.28463 1.76504 1.48447 -0.75593 -1.99834 -0.60249 1.58877 1.68251 -0.44504 -1.98504 -0.90434 1.37028 1.83583 -0.12232 -1.91899 -1.18216 1.11538 1.94037 0.20365 -1.80194 -1.42856 0.83083 1.99335 0.52420 -1.63700 0.00000 -2.00000 1.63700 -0.52420 -1.99335 -0.83083 1.42856 1.80194 -0.20365 -1.94037 -1.11538 1.18216 1.91899 0.12232 -1.83583 -1.37028 0.90434 1.98504 0.44504 -1.68251 -1.58877 0.60249 1.99834 0.75593 -1.48447 -1.76504 0.28463 1.95853 1.04674 -1.24698 -1.89441 -0.04080 1.86667 1.30972 -0.97635 -1.97342 -0.36514 1.72521 1.53790 -0.67978 0.00000 ... ... ..... ....... ......... ........... ............. E16u 2.00000 0.52420 -1.72521 -1.42856 0.97635 1.94037 0.04080 -1.91899 -1.04674 1.37028 1.76504 -0.44504 -1.99834 -0.60249 1.68251 1.48447 -0.90434 -1.95853 -0.12232 1.89441 1.11538 -1.30972 -1.80194 0.36514 1.99335 0.67978 -1.63700 -1.53790 0.83083 1.97342 0.20365 -1.86667 -1.18216 1.24698 1.83583 -0.28463 -1.98504 -0.75593 1.58877 0.00000 -2.00000 -1.58877 0.75593 1.98504 0.28463 -1.83583 -1.24698 1.18216 1.86667 -0.20365 -1.97342 -0.83083 1.53790 1.63700 -0.67978 -1.99335 -0.36514 1.80194 1.30972 -1.11538 -1.89441 0.12232 1.95853 0.90434 -1.48447 -1.68251 0.60249 1.99834 0.44504 -1.76504 -1.37028 1.04674 1.91899 -0.04080 -1.94037 -0.97635 1.42856 1.72521 -0.52420 0.00000 ... ... ..... ....... ......... ........... ............. E17u 2.00000 0.36514 -1.86667 -1.04674 1.48447 1.58877 -0.90434 -1.91899 0.20365 1.99335 0.52420 -1.80194 -1.18216 1.37028 1.68251 -0.75593 -1.95853 0.04080 1.97342 0.67978 -1.72521 -1.30972 1.24698 1.76504 -0.60249 -1.98504 -0.12232 1.94037 0.83083 -1.63700 -1.42856 1.11538 1.83583 -0.44504 -1.99834 -0.28463 1.89441 0.97635 -1.53790 0.00000 -2.00000 1.53790 -0.97635 -1.89441 0.28463 1.99834 0.44504 -1.83583 -1.11538 1.42856 1.63700 -0.83083 -1.94037 0.12232 1.98504 0.60249 -1.76504 -1.24698 1.30972 1.72521 -0.67978 -1.97342 -0.04080 1.95853 0.75593 -1.68251 -1.37028 1.18216 1.80194 -0.52420 -1.99335 -0.20365 1.91899 0.90434 -1.58877 -1.48447 1.04674 1.86667 -0.36514 0.00000 ... ... ..... ....... ......... ........... ............. E18u 2.00000 0.20365 -1.95853 -0.60249 1.83583 0.97635 -1.63700 -1.30972 1.37028 1.58877 -1.04674 -1.80194 0.67978 1.94037 -0.28463 -1.99834 -0.12232 1.97342 0.52420 -1.86667 -0.90434 1.68251 1.24698 -1.42856 -1.53790 1.11538 1.76504 -0.75593 -1.91899 0.36514 1.99335 0.04080 -1.98504 -0.44504 1.89441 0.83083 -1.72521 -1.18216 1.48447 0.00000 -2.00000 -1.48447 1.18216 1.72521 -0.83083 -1.89441 0.44504 1.98504 -0.04080 -1.99335 -0.36514 1.91899 0.75593 -1.76504 -1.11538 1.53790 1.42856 -1.24698 -1.68251 0.90434 1.86667 -0.52420 -1.97342 0.12232 1.99834 0.28463 -1.94037 -0.67978 1.80194 1.04674 -1.58877 -1.37028 1.30972 1.63700 -0.97635 -1.83583 0.60249 1.95853 -0.20365 0.00000 ... ... ..... ....... ......... ........... ............. E19u 2.00000 0.04080 -1.99834 -0.12232 1.99335 0.20365 -1.98504 -0.28463 1.97342 0.36514 -1.95853 -0.44504 1.94037 0.52420 -1.91899 -0.60249 1.89441 0.67978 -1.86667 -0.75593 1.83583 0.83083 -1.80194 -0.90434 1.76504 0.97635 -1.72521 -1.04674 1.68251 1.11538 -1.63700 -1.18216 1.58877 1.24698 -1.53790 -1.30972 1.48447 1.37028 -1.42856 0.00000 -2.00000 1.42856 -1.37028 -1.48447 1.30972 1.53790 -1.24698 -1.58877 1.18216 1.63700 -1.11538 -1.68251 1.04674 1.72521 -0.97635 -1.76504 0.90434 1.80194 -0.83083 -1.83583 0.75593 1.86667 -0.67978 -1.89441 0.60249 1.91899 -0.52420 -1.94037 0.44504 1.95853 -0.36514 -1.97342 0.28463 1.98504 -0.20365 -1.99335 0.12232 1.99834 -0.04080 0.00000 ... ... ..... ....... ......... ........... ............. E20u 2.00000 -0.12232 -1.98504 0.36514 1.94037 -0.60249 -1.86667 0.83083 1.76504 -1.04674 -1.63700 1.24698 1.48447 -1.42856 -1.30972 1.58877 1.11538 -1.72521 -0.90434 1.83583 0.67978 -1.91899 -0.44504 1.97342 0.20365 -1.99834 0.04080 1.99335 -0.28463 -1.95853 0.52420 1.89441 -0.75593 -1.80194 0.97635 1.68251 -1.18216 -1.53790 1.37028 0.00000 -2.00000 -1.37028 1.53790 1.18216 -1.68251 -0.97635 1.80194 0.75593 -1.89441 -0.52420 1.95853 0.28463 -1.99335 -0.04080 1.99834 -0.20365 -1.97342 0.44504 1.91899 -0.67978 -1.83583 0.90434 1.72521 -1.11538 -1.58877 1.30972 1.42856 -1.48447 -1.24698 1.63700 1.04674 -1.76504 -0.83083 1.86667 0.60249 -1.94037 -0.36514 1.98504 0.12232 0.00000 ... ... ..... ....... ......... ........... ............. E21u 2.00000 -0.28463 -1.91899 0.83083 1.68251 -1.30972 -1.30972 1.68251 0.83083 -1.91899 -0.28463 2.00000 -0.28463 -1.91899 0.83083 1.68251 -1.30972 -1.30972 1.68251 0.83083 -1.91899 -0.28463 2.00000 -0.28463 -1.91899 0.83083 1.68251 -1.30972 -1.30972 1.68251 0.83083 -1.91899 -0.28463 2.00000 -0.28463 -1.91899 0.83083 1.68251 -1.30972 0.00000 -2.00000 1.30972 -1.68251 -0.83083 1.91899 0.28463 -2.00000 0.28463 1.91899 -0.83083 -1.68251 1.30972 1.30972 -1.68251 -0.83083 1.91899 0.28463 -2.00000 0.28463 1.91899 -0.83083 -1.68251 1.30972 1.30972 -1.68251 -0.83083 1.91899 0.28463 -2.00000 0.28463 1.91899 -0.83083 -1.68251 1.30972 1.30972 -1.68251 -0.83083 1.91899 0.28463 0.00000 ... ... ..... ....... ......... ........... ............. E22u 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 0.00000 -2.00000 -1.24698 1.80194 0.44504 -2.00000 0.44504 1.80194 -1.24698 -1.24698 1.80194 0.44504 -2.00000 0.44504 1.80194 -1.24698 -1.24698 1.80194 0.44504 -2.00000 0.44504 1.80194 -1.24698 -1.24698 1.80194 0.44504 -2.00000 0.44504 1.80194 -1.24698 -1.24698 1.80194 0.44504 -2.00000 0.44504 1.80194 -1.24698 -1.24698 1.80194 0.44504 0.00000 ... ... ..... ....... ......... ........... ............. E23u 2.00000 -0.60249 -1.63700 1.58877 0.67978 -1.99834 0.52420 1.68251 -1.53790 -0.75593 1.99335 -0.44504 -1.72521 1.48447 0.83083 -1.98504 0.36514 1.76504 -1.42856 -0.90434 1.97342 -0.28463 -1.80194 1.37028 0.97635 -1.95853 0.20365 1.83583 -1.30972 -1.04674 1.94037 -0.12232 -1.86667 1.24698 1.11538 -1.91899 0.04080 1.89441 -1.18216 0.00000 -2.00000 1.18216 -1.89441 -0.04080 1.91899 -1.11538 -1.24698 1.86667 0.12232 -1.94037 1.04674 1.30972 -1.83583 -0.20365 1.95853 -0.97635 -1.37028 1.80194 0.28463 -1.97342 0.90434 1.42856 -1.76504 -0.36514 1.98504 -0.83083 -1.48447 1.72521 0.44504 -1.99335 0.75593 1.53790 -1.68251 -0.52420 1.99834 -0.67978 -1.58877 1.63700 0.60249 0.00000 ... ... ..... ....... ......... ........... ............. E24u 2.00000 -0.75593 -1.42856 1.83583 0.04080 -1.86667 1.37028 0.83083 -1.99834 0.67978 1.48447 -1.80194 -0.12232 1.89441 -1.30972 -0.90434 1.99335 -0.60249 -1.53790 1.76504 0.20365 -1.91899 1.24698 0.97635 -1.98504 0.52420 1.58877 -1.72521 -0.28463 1.94037 -1.18216 -1.04674 1.97342 -0.44504 -1.63700 1.68251 0.36514 -1.95853 1.11538 0.00000 -2.00000 -1.11538 1.95853 -0.36514 -1.68251 1.63700 0.44504 -1.97342 1.04674 1.18216 -1.94037 0.28463 1.72521 -1.58877 -0.52420 1.98504 -0.97635 -1.24698 1.91899 -0.20365 -1.76504 1.53790 0.60249 -1.99335 0.90434 1.30972 -1.89441 0.12232 1.80194 -1.48447 -0.67978 1.99834 -0.83083 -1.37028 1.86667 -0.04080 -1.83583 1.42856 0.75593 0.00000 ... ... ..... ....... ......... ........... ............. E25u 2.00000 -0.90434 -1.18216 1.97342 -0.60249 -1.42856 1.89441 -0.28463 -1.63700 1.76504 0.04080 -1.80194 1.58877 0.36514 -1.91899 1.37028 0.67978 -1.98504 1.11538 0.97635 -1.99834 0.83083 1.24698 -1.95853 0.52420 1.48447 -1.86667 0.20365 1.68251 -1.72521 -0.12232 1.83583 -1.53790 -0.44504 1.94037 -1.30972 -0.75593 1.99335 -1.04674 0.00000 -2.00000 1.04674 -1.99335 0.75593 1.30972 -1.94037 0.44504 1.53790 -1.83583 0.12232 1.72521 -1.68251 -0.20365 1.86667 -1.48447 -0.52420 1.95853 -1.24698 -0.83083 1.99834 -0.97635 -1.11538 1.98504 -0.67978 -1.37028 1.91899 -0.36514 -1.58877 1.80194 -0.04080 -1.76504 1.63700 0.28463 -1.89441 1.42856 0.60249 -1.97342 1.18216 0.90434 0.00000 ... ... ..... ....... ......... ........... ............. E26u 2.00000 -1.04674 -0.90434 1.99335 -1.18216 -0.75593 1.97342 -1.30972 -0.60249 1.94037 -1.42856 -0.44504 1.89441 -1.53790 -0.28463 1.83583 -1.63700 -0.12232 1.76504 -1.72521 0.04080 1.68251 -1.80194 0.20365 1.58877 -1.86667 0.36514 1.48447 -1.91899 0.52420 1.37028 -1.95853 0.67978 1.24698 -1.98504 0.83083 1.11538 -1.99834 0.97635 0.00000 -2.00000 -0.97635 1.99834 -1.11538 -0.83083 1.98504 -1.24698 -0.67978 1.95853 -1.37028 -0.52420 1.91899 -1.48447 -0.36514 1.86667 -1.58877 -0.20365 1.80194 -1.68251 -0.04080 1.72521 -1.76504 0.12232 1.63700 -1.83583 0.28463 1.53790 -1.89441 0.44504 1.42856 -1.94037 0.60249 1.30972 -1.97342 0.75593 1.18216 -1.99335 0.90434 1.04674 0.00000 ... ... ..... ....... ......... ........... ............. E27u 2.00000 -1.18216 -0.60249 1.89441 -1.63700 0.04080 1.58877 -1.91899 0.67978 1.11538 -1.99834 1.24698 0.52420 -1.86667 1.68251 -0.12232 -1.53790 1.94037 -0.75593 -1.04674 1.99335 -1.30972 -0.44504 1.83583 -1.72521 0.20365 1.48447 -1.95853 0.83083 0.97635 -1.98504 1.37028 0.36514 -1.80194 1.76504 -0.28463 -1.42856 1.97342 -0.90434 0.00000 -2.00000 0.90434 -1.97342 1.42856 0.28463 -1.76504 1.80194 -0.36514 -1.37028 1.98504 -0.97635 -0.83083 1.95853 -1.48447 -0.20365 1.72521 -1.83583 0.44504 1.30972 -1.99335 1.04674 0.75593 -1.94037 1.53790 0.12232 -1.68251 1.86667 -0.52420 -1.24698 1.99834 -1.11538 -0.67978 1.91899 -1.58877 -0.04080 1.63700 -1.89441 0.60249 1.18216 0.00000 ... ... ..... ....... ......... ........... ............. E28u 2.00000 -1.30972 -0.28463 1.68251 -1.91899 0.83083 0.83083 -1.91899 1.68251 -0.28463 -1.30972 2.00000 -1.30972 -0.28463 1.68251 -1.91899 0.83083 0.83083 -1.91899 1.68251 -0.28463 -1.30972 2.00000 -1.30972 -0.28463 1.68251 -1.91899 0.83083 0.83083 -1.91899 1.68251 -0.28463 -1.30972 2.00000 -1.30972 -0.28463 1.68251 -1.91899 0.83083 0.00000 -2.00000 -0.83083 1.91899 -1.68251 0.28463 1.30972 -2.00000 1.30972 0.28463 -1.68251 1.91899 -0.83083 -0.83083 1.91899 -1.68251 0.28463 1.30972 -2.00000 1.30972 0.28463 -1.68251 1.91899 -0.83083 -0.83083 1.91899 -1.68251 0.28463 1.30972 -2.00000 1.30972 0.28463 -1.68251 1.91899 -0.83083 -0.83083 1.91899 -1.68251 0.28463 1.30972 0.00000 ... ... ..... ....... ......... ........... ............. E29u 2.00000 -1.42856 0.04080 1.37028 -1.99834 1.48447 -0.12232 -1.30972 1.99335 -1.53790 0.20365 1.24698 -1.98504 1.58877 -0.28463 -1.18216 1.97342 -1.63700 0.36514 1.11538 -1.95853 1.68251 -0.44504 -1.04674 1.94037 -1.72521 0.52420 0.97635 -1.91899 1.76504 -0.60249 -0.90434 1.89441 -1.80194 0.67978 0.83083 -1.86667 1.83583 -0.75593 0.00000 -2.00000 0.75593 -1.83583 1.86667 -0.83083 -0.67978 1.80194 -1.89441 0.90434 0.60249 -1.76504 1.91899 -0.97635 -0.52420 1.72521 -1.94037 1.04674 0.44504 -1.68251 1.95853 -1.11538 -0.36514 1.63700 -1.97342 1.18216 0.28463 -1.58877 1.98504 -1.24698 -0.20365 1.53790 -1.99335 1.30972 0.12232 -1.48447 1.99834 -1.37028 -0.04080 1.42856 0.00000 ... ... ..... ....... ......... ........... ............. E30u 2.00000 -1.53790 0.36514 0.97635 -1.86667 1.89441 -1.04674 -0.28463 1.48447 -1.99834 1.58877 -0.44504 -0.90434 1.83583 -1.91899 1.11538 0.20365 -1.42856 1.99335 -1.63700 0.52420 0.83083 -1.80194 1.94037 -1.18216 -0.12232 1.37028 -1.98504 1.68251 -0.60249 -0.75593 1.76504 -1.95853 1.24698 0.04080 -1.30972 1.97342 -1.72521 0.67978 0.00000 -2.00000 -0.67978 1.72521 -1.97342 1.30972 -0.04080 -1.24698 1.95853 -1.76504 0.75593 0.60249 -1.68251 1.98504 -1.37028 0.12232 1.18216 -1.94037 1.80194 -0.83083 -0.52420 1.63700 -1.99335 1.42856 -0.20365 -1.11538 1.91899 -1.83583 0.90434 0.44504 -1.58877 1.99834 -1.48447 0.28463 1.04674 -1.89441 1.86667 -0.97635 -0.36514 1.53790 0.00000 ... ... ..... ....... ......... ........... ............. E31u 2.00000 -1.63700 0.67978 0.52420 -1.53790 1.99335 -1.72521 0.83083 0.36514 -1.42856 1.97342 -1.80194 0.97635 0.20365 -1.30972 1.94037 -1.86667 1.11538 0.04080 -1.18216 1.89441 -1.91899 1.24698 -0.12232 -1.04674 1.83583 -1.95853 1.37028 -0.28463 -0.90434 1.76504 -1.98504 1.48447 -0.44504 -0.75593 1.68251 -1.99834 1.58877 -0.60249 0.00000 -2.00000 0.60249 -1.58877 1.99834 -1.68251 0.75593 0.44504 -1.48447 1.98504 -1.76504 0.90434 0.28463 -1.37028 1.95853 -1.83583 1.04674 0.12232 -1.24698 1.91899 -1.89441 1.18216 -0.04080 -1.11538 1.86667 -1.94037 1.30972 -0.20365 -0.97635 1.80194 -1.97342 1.42856 -0.36514 -0.83083 1.72521 -1.99335 1.53790 -0.52420 -0.67978 1.63700 0.00000 ... ... ..... ....... ......... ........... ............. E32u 2.00000 -1.72521 0.97635 0.04080 -1.04674 1.76504 -1.99834 1.68251 -0.90434 -0.12232 1.11538 -1.80194 1.99335 -1.63700 0.83083 0.20365 -1.18216 1.83583 -1.98504 1.58877 -0.75593 -0.28463 1.24698 -1.86667 1.97342 -1.53790 0.67978 0.36514 -1.30972 1.89441 -1.95853 1.48447 -0.60249 -0.44504 1.37028 -1.91899 1.94037 -1.42856 0.52420 0.00000 -2.00000 -0.52420 1.42856 -1.94037 1.91899 -1.37028 0.44504 0.60249 -1.48447 1.95853 -1.89441 1.30972 -0.36514 -0.67978 1.53790 -1.97342 1.86667 -1.24698 0.28463 0.75593 -1.58877 1.98504 -1.83583 1.18216 -0.20365 -0.83083 1.63700 -1.99335 1.80194 -1.11538 0.12232 0.90434 -1.68251 1.99834 -1.76504 1.04674 -0.04080 -0.97635 1.72521 0.00000 ... ... ..... ....... ......... ........... ............. E33u 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 0.00000 -2.00000 0.44504 -1.24698 1.80194 -2.00000 1.80194 -1.24698 0.44504 0.44504 -1.24698 1.80194 -2.00000 1.80194 -1.24698 0.44504 0.44504 -1.24698 1.80194 -2.00000 1.80194 -1.24698 0.44504 0.44504 -1.24698 1.80194 -2.00000 1.80194 -1.24698 0.44504 0.44504 -1.24698 1.80194 -2.00000 1.80194 -1.24698 0.44504 0.44504 -1.24698 1.80194 0.00000 ... ... ..... ....... ......... ........... ............. E34u 2.00000 -1.86667 1.48447 -0.90434 0.20365 0.52420 -1.18216 1.68251 -1.95853 1.97342 -1.72521 1.24698 -0.60249 -0.12232 0.83083 -1.42856 1.83583 -1.99834 1.89441 -1.53790 0.97635 -0.28463 -0.44504 1.11538 -1.63700 1.94037 -1.98504 1.76504 -1.30972 0.67978 0.04080 -0.75593 1.37028 -1.80194 1.99335 -1.91899 1.58877 -1.04674 0.36514 0.00000 -2.00000 -0.36514 1.04674 -1.58877 1.91899 -1.99335 1.80194 -1.37028 0.75593 -0.04080 -0.67978 1.30972 -1.76504 1.98504 -1.94037 1.63700 -1.11538 0.44504 0.28463 -0.97635 1.53790 -1.89441 1.99834 -1.83583 1.42856 -0.83083 0.12232 0.60249 -1.24698 1.72521 -1.97342 1.95853 -1.68251 1.18216 -0.52420 -0.20365 0.90434 -1.48447 1.86667 0.00000 ... ... ..... ....... ......... ........... ............. E35u 2.00000 -1.91899 1.68251 -1.30972 0.83083 -0.28463 -0.28463 0.83083 -1.30972 1.68251 -1.91899 2.00000 -1.91899 1.68251 -1.30972 0.83083 -0.28463 -0.28463 0.83083 -1.30972 1.68251 -1.91899 2.00000 -1.91899 1.68251 -1.30972 0.83083 -0.28463 -0.28463 0.83083 -1.30972 1.68251 -1.91899 2.00000 -1.91899 1.68251 -1.30972 0.83083 -0.28463 0.00000 -2.00000 0.28463 -0.83083 1.30972 -1.68251 1.91899 -2.00000 1.91899 -1.68251 1.30972 -0.83083 0.28463 0.28463 -0.83083 1.30972 -1.68251 1.91899 -2.00000 1.91899 -1.68251 1.30972 -0.83083 0.28463 0.28463 -0.83083 1.30972 -1.68251 1.91899 -2.00000 1.91899 -1.68251 1.30972 -0.83083 0.28463 0.28463 -0.83083 1.30972 -1.68251 1.91899 0.00000 ... ... ..... ....... ......... ........... ............. E36u 2.00000 -1.95853 1.83583 -1.63700 1.37028 -1.04674 0.67978 -0.28463 -0.12232 0.52420 -0.90434 1.24698 -1.53790 1.76504 -1.91899 1.99335 -1.98504 1.89441 -1.72521 1.48447 -1.18216 0.83083 -0.44504 0.04080 0.36514 -0.75593 1.11538 -1.42856 1.68251 -1.86667 1.97342 -1.99834 1.94037 -1.80194 1.58877 -1.30972 0.97635 -0.60249 0.20365 0.00000 -2.00000 -0.20365 0.60249 -0.97635 1.30972 -1.58877 1.80194 -1.94037 1.99834 -1.97342 1.86667 -1.68251 1.42856 -1.11538 0.75593 -0.36514 -0.04080 0.44504 -0.83083 1.18216 -1.48447 1.72521 -1.89441 1.98504 -1.99335 1.91899 -1.76504 1.53790 -1.24698 0.90434 -0.52420 0.12232 0.28463 -0.67978 1.04674 -1.37028 1.63700 -1.83583 1.95853 0.00000 ... ... ..... ....... ......... ........... ............. E37u 2.00000 -1.98504 1.94037 -1.86667 1.76504 -1.63700 1.48447 -1.30972 1.11538 -0.90434 0.67978 -0.44504 0.20365 0.04080 -0.28463 0.52420 -0.75593 0.97635 -1.18216 1.37028 -1.53790 1.68251 -1.80194 1.89441 -1.95853 1.99335 -1.99834 1.97342 -1.91899 1.83583 -1.72521 1.58877 -1.42856 1.24698 -1.04674 0.83083 -0.60249 0.36514 -0.12232 0.00000 -2.00000 0.12232 -0.36514 0.60249 -0.83083 1.04674 -1.24698 1.42856 -1.58877 1.72521 -1.83583 1.91899 -1.97342 1.99834 -1.99335 1.95853 -1.89441 1.80194 -1.68251 1.53790 -1.37028 1.18216 -0.97635 0.75593 -0.52420 0.28463 -0.04080 -0.20365 0.44504 -0.67978 0.90434 -1.11538 1.30972 -1.48447 1.63700 -1.76504 1.86667 -1.94037 1.98504 0.00000 ... ... ..... ....... ......... ........... ............. E38u 2.00000 -1.99834 1.99335 -1.98504 1.97342 -1.95853 1.94037 -1.91899 1.89441 -1.86667 1.83583 -1.80194 1.76504 -1.72521 1.68251 -1.63700 1.58877 -1.53790 1.48447 -1.42856 1.37028 -1.30972 1.24698 -1.18216 1.11538 -1.04674 0.97635 -0.90434 0.83083 -0.75593 0.67978 -0.60249 0.52420 -0.44504 0.36514 -0.28463 0.20365 -0.12232 0.04080 0.00000 -2.00000 -0.04080 0.12232 -0.20365 0.28463 -0.36514 0.44504 -0.52420 0.60249 -0.67978 0.75593 -0.83083 0.90434 -0.97635 1.04674 -1.11538 1.18216 -1.24698 1.30972 -1.37028 1.42856 -1.48447 1.53790 -1.58877 1.63700 -1.68251 1.72521 -1.76504 1.80194 -1.83583 1.86667 -1.89441 1.91899 -1.94037 1.95853 -1.97342 1.98504 -1.99335 1.99834 0.00000 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.998335598689 = 2*cos(2*π/154) = 2*cos(π/77) 1.993345164988 = 2*cos(4*π/154) = 2*cos(2*π/77) 1.985037004982 = 2*cos(6*π/154) = 2*cos(3*π/77) 1.973424946783 = 2*cos(8*π/154) = 2*cos(4*π/77) 1.958528317515 = 2*cos(10*π/154) = 2*cos(5*π/77) 1.940371911148 = 2*cos(12*π/154) = 2*cos(6*π/77) 1.918985947229 = 2*cos(14*π/154) = 2*cos(π/11) 1.894406020584 = 2*cos(16*π/154) = 2*cos(8*π/77) 1.866673042075 = 2*cos(18*π/154) = 2*cos(9*π/77) 1.835833170508 = 2*cos(20*π/154) = 2*cos(10*π/77) 1.801937735805 = 2*cos(22*π/154) = 2*cos(π/7) 1.765043153573 = 2*cos(24*π/154) = 2*cos(12*π/77) 1.725210831202 = 2*cos(26*π/154) = 2*cos(13*π/77) 1.682507065662 = 2*cos(28*π/154) = 2*cos(2*π/11) 1.637002933157 = 2*cos(30*π/154) = 2*cos(15*π/77) 1.588774170824 = 2*cos(32*π/154) = 2*cos(16*π/77) 1.537901050679 = 2*cos(34*π/154) = 2*cos(17*π/77) 1.484468246009 = 2*cos(36*π/154) = 2*cos(18*π/77) 1.428564690444 = 2*cos(38*π/154) = 2*cos(19*π/77) 1.370283429936 = 2*cos(40*π/154) = 2*cos(20*π/77) 1.309721467891 = 2*cos(42*π/154) = 2*cos(3*π/11) 1.246979603717 = 2*cos(44*π/154) = 2*cos(2*π/7) 1.182162265057 = 2*cos(46*π/154) = 2*cos(23*π/77) 1.115377333974 = 2*cos(48*π/154) = 2*cos(24*π/77) 1.046735967393 = 2*cos(50*π/154) = 2*cos(25*π/77) 0.976352412097 = 2*cos(52*π/154) = 2*cos(26*π/77) 0.904343814565 = 2*cos(54*π/154) = 2*cos(27*π/77) 0.830830026004 = 2*cos(56*π/154) = 2*cos(4*π/11) 0.755933402858 = 2*cos(58*π/154) = 2*cos(29*π/77) 0.679778603165 = 2*cos(60*π/154) = 2*cos(30*π/77) 0.602492379074 = 2*cos(62*π/154) = 2*cos(31*π/77) 0.524203365878 = 2*cos(64*π/154) = 2*cos(32*π/77) 0.445041867913 = 2*cos(66*π/154) = 2*cos(3*π/7) 0.365139641679 = 2*cos(68*π/154) = 2*cos(34*π/77) 0.284629676547 = 2*cos(70*π/154) = 2*cos(5*π/11) 0.203645973408 = 2*cos(72*π/154) = 2*cos(36*π/77) 0.122323321644 = 2*cos(74*π/154) = 2*cos(37*π/77) 0.040797074783 = 2*cos(76*π/154) = 2*cos(38*π/77) Symmetry of Rotations and Cartesian products A1g d+g+i+k+m z², z⁴, z⁶ A2g R R_z E1g R+d+g+i+k+m {R_x, R_y}, {xz, yz}, {xz³, yz³}, {xz⁵, yz⁵} E2g d+g+i+k+m {x²−y², xy}, {z²(x²−y²), xyz²}, {z⁴(x²−y²), xyz⁴} E3g g+i+k+m {xz(x²−3y²), yz(3x²−y²)}, {xz³(x²−3y²), yz³(3x²−y²)} E4g g+i+k+m {(x²−y²)²−4x²y², xy(x²−y²)}, {z²((x²−y²)²−4x²y²), xyz²(x²−y²)} E5g i+k+m {xz(x²−(5+2√5)y²)(x²−(5−2√5)y²), yz((5+2√5)x²−y²)((5−2√5)x²−y²)} E6g i+k+m {x²(x²−3y²)²−y²(3x²−y²)², xy(x²−3y²)(3x²−y²)} E7g k+m E8g k+m E9g m E10g m A2u p+f+h+j+l z, z³, z⁵ E1u p+f+h+j+l {x, y}, {xz², yz²}, {xz⁴, yz⁴} E2u f+h+j+l {z(x²−y²), xyz}, {z³(x²−y²), xyz³} E3u f+h+j+l {x(x²−3y²), y(3x²−y²)}, {xz²(x²−3y²), yz²(3x²−y²)} E4u h+j+l {z((x²−y²)²−4x²y²), xyz(x²−y²)} E5u h+j+l {x(x²−(5+2√5)y²)(x²−(5−2√5)y²), y((5+2√5)x²−y²)((5−2√5)x²−y²)} E6u j+l E7u j+l E8u l E9u l Notes: α The order of the D_77d point group is 308, and the order of the principal axis (S₁₅₄) is 154. The group has 80 irreducible representations. β The D_77d point group is isomorphic to D_77h, C_154v and D₁₅₄. γ The D_77d point group is generated by two symmetry elements, S₁₅₄ and either a perpendicular C₂^′ or a vertical σ_d. Also, the group may be generated from a C₂^′ plus a σ_d (some pairs will yield smaller groups, though; choosing a minimum angle is safe). The canonical choice, however, is to use redundant generators: C₇₇, C₂^′ and i. δ The group contains one set of C₂^′ symmetry axes perpendicular to the principal (z) axis. The x axis (but not the y axis) is a member of that set. Reversely, the single set of symmetry planes denoted σ_d contains the yz plane but not the xz plane. ε The lowest nonvanishing multipole moment in D_77d is 4 (quadrupole moment). ζ This point group is non-Abelian (some symmetry operations are not commutative). Therefore, the character table contains multi-membered classes and degenerate irreducible representations. η Some of the characters in the table are irrational because the order of the principal axis is neither 1,2,3,4 nor 6. These irrational values can be expressed as cosine values, or as solutions of algebraic equations with a leading coefficient of 1. All characters are algebraic integers of a degree much less than half the order of the principal axis. For this group, however, none of the irrational characters can be expressed by a closed algebraic form using real numbers only.

This Character Table for the D_77d point group was created by Gernot Katzer.

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

	D_75d
	D_76d
C₇₇ C_77v C_77h D₇₇ D_77h	D_77d
	D_78d
	D_79d

Character table for the D77d point group

Character table for the D_77d point group