Character Table for Point Group D79d

Character table for the D_79d point group

D79d E 2 C79 2 C79^2 2 C79^3 2 C79^4 2 C79^5 2 C79^6 2 C79^7 2 C79^8 2 C79^9 2 C79^10 2 C79^11 2 C79^12 2 C79^13 2 C79^14 2 C79^15 2 C79^16 2 C79^17 2 C79^18 2 C79^19 2 C79^20 2 C79^21 2 C79^22 2 C79^23 2 C79^24 2 C79^25 2 C79^26 2 C79^27 2 C79^28 2 C79^29 2 C79^30 2 C79^31 2 C79^32 2 C79^33 2 C79^34 2 C79^35 2 C79^36 2 C79^37 2 C79^38 2 C79^39 79 C2' i 2 S158 2 S158^3 2 S158^5 2 S158^7 2 S158^9 2 S158^11 2 S158^13 2 S158^15 2 S158^17 2 S158^19 2 S158^21 2 S158^23 2 S158^25 2 S158^27 2 S158^29 2 S158^31 2 S158^33 2 S158^35 2 S158^37 2 S158^39 2 S158^41 2 S158^43 2 S158^45 2 S158^47 2 S158^49 2 S158^51 2 S158^53 2 S158^55 2 S158^57 2 S158^59 2 S158^61 2 S158^63 2 S158^65 2 S158^67 2 S158^69 2 S158^71 2 S158^73 2 S158^75 2 S158^77 79 sd <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> A1g 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 ... ... ....T ....... ........T ........... ............T A2g 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 ..T ... ..... ....... ......... ........... ............. E1g 2.00000 1.99368 1.97475 1.94334 1.89964 1.84393 1.77657 1.69797 1.60863 1.50913 1.40008 1.28219 1.15618 1.02287 0.88309 0.73773 0.58770 0.43396 0.27747 0.11923 -0.03976 -0.19851 -0.35600 -0.51123 -0.66324 -0.81105 -0.95374 -1.09039 -1.22015 -1.34220 -1.45576 -1.56011 -1.65461 -1.73864 -1.81168 -1.87327 -1.92301 -1.96059 -1.98578 -1.99842 0.00000 2.00000 -1.99842 -1.98578 -1.96059 -1.92301 -1.87327 -1.81168 -1.73864 -1.65461 -1.56011 -1.45576 -1.34220 -1.22015 -1.09039 -0.95374 -0.81105 -0.66324 -0.51123 -0.35600 -0.19851 -0.03976 0.11923 0.27747 0.43396 0.58770 0.73773 0.88309 1.02287 1.15618 1.28219 1.40008 1.50913 1.60863 1.69797 1.77657 1.84393 1.89964 1.94334 1.97475 1.99368 0.00000 TT. ... ..TT. ....... ......TT. ........... ..........TT. E2g 2.00000 1.97475 1.89964 1.77657 1.60863 1.40008 1.15618 0.88309 0.58770 0.27747 -0.03976 -0.35600 -0.66324 -0.95374 -1.22015 -1.45576 -1.65461 -1.81168 -1.92301 -1.98578 -1.99842 -1.96059 -1.87327 -1.73864 -1.56011 -1.34220 -1.09039 -0.81105 -0.51123 -0.19851 0.11923 0.43396 0.73773 1.02287 1.28219 1.50913 1.69797 1.84393 1.94334 1.99368 0.00000 2.00000 1.99368 1.94334 1.84393 1.69797 1.50913 1.28219 1.02287 0.73773 0.43396 0.11923 -0.19851 -0.51123 -0.81105 -1.09039 -1.34220 -1.56011 -1.73864 -1.87327 -1.96059 -1.99842 -1.98578 -1.92301 -1.81168 -1.65461 -1.45576 -1.22015 -0.95374 -0.66324 -0.35600 -0.03976 0.27747 0.58770 0.88309 1.15618 1.40008 1.60863 1.77657 1.89964 1.97475 0.00000 ... ... TT... ....... ....TT... ........... ........TT... E3g 2.00000 1.94334 1.77657 1.50913 1.15618 0.73773 0.27747 -0.19851 -0.66324 -1.09039 -1.45576 -1.73864 -1.92301 -1.99842 -1.96059 -1.81168 -1.56011 -1.22015 -0.81105 -0.35600 0.11923 0.58770 1.02287 1.40008 1.69797 1.89964 1.99368 1.97475 1.84393 1.60863 1.28219 0.88309 0.43396 -0.03976 -0.51123 -0.95374 -1.34220 -1.65461 -1.87327 -1.98578 0.00000 2.00000 -1.98578 -1.87327 -1.65461 -1.34220 -0.95374 -0.51123 -0.03976 0.43396 0.88309 1.28219 1.60863 1.84393 1.97475 1.99368 1.89964 1.69797 1.40008 1.02287 0.58770 0.11923 -0.35600 -0.81105 -1.22015 -1.56011 -1.81168 -1.96059 -1.99842 -1.92301 -1.73864 -1.45576 -1.09039 -0.66324 -0.19851 0.27747 0.73773 1.15618 1.50913 1.77657 1.94334 0.00000 ... ... ..... ....... ..TT..... ........... ......TT..... E4g 2.00000 1.89964 1.60863 1.15618 0.58770 -0.03976 -0.66324 -1.22015 -1.65461 -1.92301 -1.99842 -1.87327 -1.56011 -1.09039 -0.51123 0.11923 0.73773 1.28219 1.69797 1.94334 1.99368 1.84393 1.50913 1.02287 0.43396 -0.19851 -0.81105 -1.34220 -1.73864 -1.96059 -1.98578 -1.81168 -1.45576 -0.95374 -0.35600 0.27747 0.88309 1.40008 1.77657 1.97475 0.00000 2.00000 1.97475 1.77657 1.40008 0.88309 0.27747 -0.35600 -0.95374 -1.45576 -1.81168 -1.98578 -1.96059 -1.73864 -1.34220 -0.81105 -0.19851 0.43396 1.02287 1.50913 1.84393 1.99368 1.94334 1.69797 1.28219 0.73773 0.11923 -0.51123 -1.09039 -1.56011 -1.87327 -1.99842 -1.92301 -1.65461 -1.22015 -0.66324 -0.03976 0.58770 1.15618 1.60863 1.89964 0.00000 ... ... ..... ....... TT....... ........... ....TT....... E5g 2.00000 1.84393 1.40008 0.73773 -0.03976 -0.81105 -1.45576 -1.87327 -1.99842 -1.81168 -1.34220 -0.66324 0.11923 0.88309 1.50913 1.89964 1.99368 1.77657 1.28219 0.58770 -0.19851 -0.95374 -1.56011 -1.92301 -1.98578 -1.73864 -1.22015 -0.51123 0.27747 1.02287 1.60863 1.94334 1.97475 1.69797 1.15618 0.43396 -0.35600 -1.09039 -1.65461 -1.96059 0.00000 2.00000 -1.96059 -1.65461 -1.09039 -0.35600 0.43396 1.15618 1.69797 1.97475 1.94334 1.60863 1.02287 0.27747 -0.51123 -1.22015 -1.73864 -1.98578 -1.92301 -1.56011 -0.95374 -0.19851 0.58770 1.28219 1.77657 1.99368 1.89964 1.50913 0.88309 0.11923 -0.66324 -1.34220 -1.81168 -1.99842 -1.87327 -1.45576 -0.81105 -0.03976 0.73773 1.40008 1.84393 0.00000 ... ... ..... ....... ......... ........... ..TT......... E6g 2.00000 1.77657 1.15618 0.27747 -0.66324 -1.45576 -1.92301 -1.96059 -1.56011 -0.81105 0.11923 1.02287 1.69797 1.99368 1.84393 1.28219 0.43396 -0.51123 -1.34220 -1.87327 -1.98578 -1.65461 -0.95374 -0.03976 0.88309 1.60863 1.97475 1.89964 1.40008 0.58770 -0.35600 -1.22015 -1.81168 -1.99842 -1.73864 -1.09039 -0.19851 0.73773 1.50913 1.94334 0.00000 2.00000 1.94334 1.50913 0.73773 -0.19851 -1.09039 -1.73864 -1.99842 -1.81168 -1.22015 -0.35600 0.58770 1.40008 1.89964 1.97475 1.60863 0.88309 -0.03976 -0.95374 -1.65461 -1.98578 -1.87327 -1.34220 -0.51123 0.43396 1.28219 1.84393 1.99368 1.69797 1.02287 0.11923 -0.81105 -1.56011 -1.96059 -1.92301 -1.45576 -0.66324 0.27747 1.15618 1.77657 0.00000 ... ... ..... ....... ......... ........... TT........... E7g 2.00000 1.69797 0.88309 -0.19851 -1.22015 -1.87327 -1.96059 -1.45576 -0.51123 0.58770 1.50913 1.97475 1.84393 1.15618 0.11923 -0.95374 -1.73864 -1.99842 -1.65461 -0.81105 0.27747 1.28219 1.89964 1.94334 1.40008 0.43396 -0.66324 -1.56011 -1.98578 -1.81168 -1.09039 -0.03976 1.02287 1.77657 1.99368 1.60863 0.73773 -0.35600 -1.34220 -1.92301 0.00000 2.00000 -1.92301 -1.34220 -0.35600 0.73773 1.60863 1.99368 1.77657 1.02287 -0.03976 -1.09039 -1.81168 -1.98578 -1.56011 -0.66324 0.43396 1.40008 1.94334 1.89964 1.28219 0.27747 -0.81105 -1.65461 -1.99842 -1.73864 -0.95374 0.11923 1.15618 1.84393 1.97475 1.50913 0.58770 -0.51123 -1.45576 -1.96059 -1.87327 -1.22015 -0.19851 0.88309 1.69797 0.00000 ... ... ..... ....... ......... ........... ............. E8g 2.00000 1.60863 0.58770 -0.66324 -1.65461 -1.99842 -1.56011 -0.51123 0.73773 1.69797 1.99368 1.50913 0.43396 -0.81105 -1.73864 -1.98578 -1.45576 -0.35600 0.88309 1.77657 1.97475 1.40008 0.27747 -0.95374 -1.81168 -1.96059 -1.34220 -0.19851 1.02287 1.84393 1.94334 1.28219 0.11923 -1.09039 -1.87327 -1.92301 -1.22015 -0.03976 1.15618 1.89964 0.00000 2.00000 1.89964 1.15618 -0.03976 -1.22015 -1.92301 -1.87327 -1.09039 0.11923 1.28219 1.94334 1.84393 1.02287 -0.19851 -1.34220 -1.96059 -1.81168 -0.95374 0.27747 1.40008 1.97475 1.77657 0.88309 -0.35600 -1.45576 -1.98578 -1.73864 -0.81105 0.43396 1.50913 1.99368 1.69797 0.73773 -0.51123 -1.56011 -1.99842 -1.65461 -0.66324 0.58770 1.60863 0.00000 ... ... ..... ....... ......... ........... ............. E9g 2.00000 1.50913 0.27747 -1.09039 -1.92301 -1.81168 -0.81105 0.58770 1.69797 1.97475 1.28219 -0.03976 -1.34220 -1.98578 -1.65461 -0.51123 0.88309 1.84393 1.89964 1.02287 -0.35600 -1.56011 -1.99842 -1.45576 -0.19851 1.15618 1.94334 1.77657 0.73773 -0.66324 -1.73864 -1.96059 -1.22015 0.11923 1.40008 1.99368 1.60863 0.43396 -0.95374 -1.87327 0.00000 2.00000 -1.87327 -0.95374 0.43396 1.60863 1.99368 1.40008 0.11923 -1.22015 -1.96059 -1.73864 -0.66324 0.73773 1.77657 1.94334 1.15618 -0.19851 -1.45576 -1.99842 -1.56011 -0.35600 1.02287 1.89964 1.84393 0.88309 -0.51123 -1.65461 -1.98578 -1.34220 -0.03976 1.28219 1.97475 1.69797 0.58770 -0.81105 -1.81168 -1.92301 -1.09039 0.27747 1.50913 0.00000 ... ... ..... ....... ......... ........... ............. E10g 2.00000 1.40008 -0.03976 -1.45576 -1.99842 -1.34220 0.11923 1.50913 1.99368 1.28219 -0.19851 -1.56011 -1.98578 -1.22015 0.27747 1.60863 1.97475 1.15618 -0.35600 -1.65461 -1.96059 -1.09039 0.43396 1.69797 1.94334 1.02287 -0.51123 -1.73864 -1.92301 -0.95374 0.58770 1.77657 1.89964 0.88309 -0.66324 -1.81168 -1.87327 -0.81105 0.73773 1.84393 0.00000 2.00000 1.84393 0.73773 -0.81105 -1.87327 -1.81168 -0.66324 0.88309 1.89964 1.77657 0.58770 -0.95374 -1.92301 -1.73864 -0.51123 1.02287 1.94334 1.69797 0.43396 -1.09039 -1.96059 -1.65461 -0.35600 1.15618 1.97475 1.60863 0.27747 -1.22015 -1.98578 -1.56011 -0.19851 1.28219 1.99368 1.50913 0.11923 -1.34220 -1.99842 -1.45576 -0.03976 1.40008 0.00000 ... ... ..... ....... ......... ........... ............. E11g 2.00000 1.28219 -0.35600 -1.73864 -1.87327 -0.66324 1.02287 1.97475 1.50913 -0.03976 -1.56011 -1.96059 -0.95374 0.73773 1.89964 1.69797 0.27747 -1.34220 -1.99842 -1.22015 0.43396 1.77657 1.84393 0.58770 -1.09039 -1.98578 -1.45576 0.11923 1.60863 1.94334 0.88309 -0.81105 -1.92301 -1.65461 -0.19851 1.40008 1.99368 1.15618 -0.51123 -1.81168 0.00000 2.00000 -1.81168 -0.51123 1.15618 1.99368 1.40008 -0.19851 -1.65461 -1.92301 -0.81105 0.88309 1.94334 1.60863 0.11923 -1.45576 -1.98578 -1.09039 0.58770 1.84393 1.77657 0.43396 -1.22015 -1.99842 -1.34220 0.27747 1.69797 1.89964 0.73773 -0.95374 -1.96059 -1.56011 -0.03976 1.50913 1.97475 1.02287 -0.66324 -1.87327 -1.73864 -0.35600 1.28219 0.00000 ... ... ..... ....... ......... ........... ............. E12g 2.00000 1.15618 -0.66324 -1.92301 -1.56011 0.11923 1.69797 1.84393 0.43396 -1.34220 -1.98578 -0.95374 0.88309 1.97475 1.40008 -0.35600 -1.81168 -1.73864 -0.19851 1.50913 1.94334 0.73773 -1.09039 -1.99842 -1.22015 0.58770 1.89964 1.60863 -0.03976 -1.65461 -1.87327 -0.51123 1.28219 1.99368 1.02287 -0.81105 -1.96059 -1.45576 0.27747 1.77657 0.00000 2.00000 1.77657 0.27747 -1.45576 -1.96059 -0.81105 1.02287 1.99368 1.28219 -0.51123 -1.87327 -1.65461 -0.03976 1.60863 1.89964 0.58770 -1.22015 -1.99842 -1.09039 0.73773 1.94334 1.50913 -0.19851 -1.73864 -1.81168 -0.35600 1.40008 1.97475 0.88309 -0.95374 -1.98578 -1.34220 0.43396 1.84393 1.69797 0.11923 -1.56011 -1.92301 -0.66324 1.15618 0.00000 ... ... ..... ....... ......... ........... ............. E13g 2.00000 1.02287 -0.95374 -1.99842 -1.09039 0.88309 1.99368 1.15618 -0.81105 -1.98578 -1.22015 0.73773 1.97475 1.28219 -0.66324 -1.96059 -1.34220 0.58770 1.94334 1.40008 -0.51123 -1.92301 -1.45576 0.43396 1.89964 1.50913 -0.35600 -1.87327 -1.56011 0.27747 1.84393 1.60863 -0.19851 -1.81168 -1.65461 0.11923 1.77657 1.69797 -0.03976 -1.73864 0.00000 2.00000 -1.73864 -0.03976 1.69797 1.77657 0.11923 -1.65461 -1.81168 -0.19851 1.60863 1.84393 0.27747 -1.56011 -1.87327 -0.35600 1.50913 1.89964 0.43396 -1.45576 -1.92301 -0.51123 1.40008 1.94334 0.58770 -1.34220 -1.96059 -0.66324 1.28219 1.97475 0.73773 -1.22015 -1.98578 -0.81105 1.15618 1.99368 0.88309 -1.09039 -1.99842 -0.95374 1.02287 0.00000 ... ... ..... ....... ......... ........... ............. E14g 2.00000 0.88309 -1.22015 -1.96059 -0.51123 1.50913 1.84393 0.11923 -1.73864 -1.65461 0.27747 1.89964 1.40008 -0.66324 -1.98578 -1.09039 1.02287 1.99368 0.73773 -1.34220 -1.92301 -0.35600 1.60863 1.77657 -0.03976 -1.81168 -1.56011 0.43396 1.94334 1.28219 -0.81105 -1.99842 -0.95374 1.15618 1.97475 0.58770 -1.45576 -1.87327 -0.19851 1.69797 0.00000 2.00000 1.69797 -0.19851 -1.87327 -1.45576 0.58770 1.97475 1.15618 -0.95374 -1.99842 -0.81105 1.28219 1.94334 0.43396 -1.56011 -1.81168 -0.03976 1.77657 1.60863 -0.35600 -1.92301 -1.34220 0.73773 1.99368 1.02287 -1.09039 -1.98578 -0.66324 1.40008 1.89964 0.27747 -1.65461 -1.73864 0.11923 1.84393 1.50913 -0.51123 -1.96059 -1.22015 0.88309 0.00000 ... ... ..... ....... ......... ........... ............. E15g 2.00000 0.73773 -1.45576 -1.81168 0.11923 1.89964 1.28219 -0.95374 -1.98578 -0.51123 1.60863 1.69797 -0.35600 -1.96059 -1.09039 1.15618 1.94334 0.27747 -1.73864 -1.56011 0.58770 1.99368 0.88309 -1.34220 -1.87327 -0.03976 1.84393 1.40008 -0.81105 -1.99842 -0.66324 1.50913 1.77657 -0.19851 -1.92301 -1.22015 1.02287 1.97475 0.43396 -1.65461 0.00000 2.00000 -1.65461 0.43396 1.97475 1.02287 -1.22015 -1.92301 -0.19851 1.77657 1.50913 -0.66324 -1.99842 -0.81105 1.40008 1.84393 -0.03976 -1.87327 -1.34220 0.88309 1.99368 0.58770 -1.56011 -1.73864 0.27747 1.94334 1.15618 -1.09039 -1.96059 -0.35600 1.69797 1.60863 -0.51123 -1.98578 -0.95374 1.28219 1.89964 0.11923 -1.81168 -1.45576 0.73773 0.00000 ... ... ..... ....... ......... ........... ............. E16g 2.00000 0.58770 -1.65461 -1.56011 0.73773 1.99368 0.43396 -1.73864 -1.45576 0.88309 1.97475 0.27747 -1.81168 -1.34220 1.02287 1.94334 0.11923 -1.87327 -1.22015 1.15618 1.89964 -0.03976 -1.92301 -1.09039 1.28219 1.84393 -0.19851 -1.96059 -0.95374 1.40008 1.77657 -0.35600 -1.98578 -0.81105 1.50913 1.69797 -0.51123 -1.99842 -0.66324 1.60863 0.00000 2.00000 1.60863 -0.66324 -1.99842 -0.51123 1.69797 1.50913 -0.81105 -1.98578 -0.35600 1.77657 1.40008 -0.95374 -1.96059 -0.19851 1.84393 1.28219 -1.09039 -1.92301 -0.03976 1.89964 1.15618 -1.22015 -1.87327 0.11923 1.94334 1.02287 -1.34220 -1.81168 0.27747 1.97475 0.88309 -1.45576 -1.73864 0.43396 1.99368 0.73773 -1.56011 -1.65461 0.58770 0.00000 ... ... ..... ....... ......... ........... ............. E17g 2.00000 0.43396 -1.81168 -1.22015 1.28219 1.77657 -0.51123 -1.99842 -0.35600 1.84393 1.15618 -1.34220 -1.73864 0.58770 1.99368 0.27747 -1.87327 -1.09039 1.40008 1.69797 -0.66324 -1.98578 -0.19851 1.89964 1.02287 -1.45576 -1.65461 0.73773 1.97475 0.11923 -1.92301 -0.95374 1.50913 1.60863 -0.81105 -1.96059 -0.03976 1.94334 0.88309 -1.56011 0.00000 2.00000 -1.56011 0.88309 1.94334 -0.03976 -1.96059 -0.81105 1.60863 1.50913 -0.95374 -1.92301 0.11923 1.97475 0.73773 -1.65461 -1.45576 1.02287 1.89964 -0.19851 -1.98578 -0.66324 1.69797 1.40008 -1.09039 -1.87327 0.27747 1.99368 0.58770 -1.73864 -1.34220 1.15618 1.84393 -0.35600 -1.99842 -0.51123 1.77657 1.28219 -1.22015 -1.81168 0.43396 0.00000 ... ... ..... ....... ......... ........... ............. E18g 2.00000 0.27747 -1.92301 -0.81105 1.69797 1.28219 -1.34220 -1.65461 0.88309 1.89964 -0.35600 -1.99842 -0.19851 1.94334 0.73773 -1.73864 -1.22015 1.40008 1.60863 -0.95374 -1.87327 0.43396 1.99368 0.11923 -1.96059 -0.66324 1.77657 1.15618 -1.45576 -1.56011 1.02287 1.84393 -0.51123 -1.98578 -0.03976 1.97475 0.58770 -1.81168 -1.09039 1.50913 0.00000 2.00000 1.50913 -1.09039 -1.81168 0.58770 1.97475 -0.03976 -1.98578 -0.51123 1.84393 1.02287 -1.56011 -1.45576 1.15618 1.77657 -0.66324 -1.96059 0.11923 1.99368 0.43396 -1.87327 -0.95374 1.60863 1.40008 -1.22015 -1.73864 0.73773 1.94334 -0.19851 -1.99842 -0.35600 1.89964 0.88309 -1.65461 -1.34220 1.28219 1.69797 -0.81105 -1.92301 0.27747 0.00000 ... ... ..... ....... ......... ........... ............. E19g 2.00000 0.11923 -1.98578 -0.35600 1.94334 0.58770 -1.87327 -0.81105 1.77657 1.02287 -1.65461 -1.22015 1.50913 1.40008 -1.34220 -1.56011 1.15618 1.69797 -0.95374 -1.81168 0.73773 1.89964 -0.51123 -1.96059 0.27747 1.99368 -0.03976 -1.99842 -0.19851 1.97475 0.43396 -1.92301 -0.66324 1.84393 0.88309 -1.73864 -1.09039 1.60863 1.28219 -1.45576 0.00000 2.00000 -1.45576 1.28219 1.60863 -1.09039 -1.73864 0.88309 1.84393 -0.66324 -1.92301 0.43396 1.97475 -0.19851 -1.99842 -0.03976 1.99368 0.27747 -1.96059 -0.51123 1.89964 0.73773 -1.81168 -0.95374 1.69797 1.15618 -1.56011 -1.34220 1.40008 1.50913 -1.22015 -1.65461 1.02287 1.77657 -0.81105 -1.87327 0.58770 1.94334 -0.35600 -1.98578 0.11923 0.00000 ... ... ..... ....... ......... ........... ............. E20g 2.00000 -0.03976 -1.99842 0.11923 1.99368 -0.19851 -1.98578 0.27747 1.97475 -0.35600 -1.96059 0.43396 1.94334 -0.51123 -1.92301 0.58770 1.89964 -0.66324 -1.87327 0.73773 1.84393 -0.81105 -1.81168 0.88309 1.77657 -0.95374 -1.73864 1.02287 1.69797 -1.09039 -1.65461 1.15618 1.60863 -1.22015 -1.56011 1.28219 1.50913 -1.34220 -1.45576 1.40008 0.00000 2.00000 1.40008 -1.45576 -1.34220 1.50913 1.28219 -1.56011 -1.22015 1.60863 1.15618 -1.65461 -1.09039 1.69797 1.02287 -1.73864 -0.95374 1.77657 0.88309 -1.81168 -0.81105 1.84393 0.73773 -1.87327 -0.66324 1.89964 0.58770 -1.92301 -0.51123 1.94334 0.43396 -1.96059 -0.35600 1.97475 0.27747 -1.98578 -0.19851 1.99368 0.11923 -1.99842 -0.03976 0.00000 ... ... ..... ....... ......... ........... ............. E21g 2.00000 -0.19851 -1.96059 0.58770 1.84393 -0.95374 -1.65461 1.28219 1.40008 -1.56011 -1.09039 1.77657 0.73773 -1.92301 -0.35600 1.99368 -0.03976 -1.98578 0.43396 1.89964 -0.81105 -1.73864 1.15618 1.50913 -1.45576 -1.22015 1.69797 0.88309 -1.87327 -0.51123 1.97475 0.11923 -1.99842 0.27747 1.94334 -0.66324 -1.81168 1.02287 1.60863 -1.34220 0.00000 2.00000 -1.34220 1.60863 1.02287 -1.81168 -0.66324 1.94334 0.27747 -1.99842 0.11923 1.97475 -0.51123 -1.87327 0.88309 1.69797 -1.22015 -1.45576 1.50913 1.15618 -1.73864 -0.81105 1.89964 0.43396 -1.98578 -0.03976 1.99368 -0.35600 -1.92301 0.73773 1.77657 -1.09039 -1.56011 1.40008 1.28219 -1.65461 -0.95374 1.84393 0.58770 -1.96059 -0.19851 0.00000 ... ... ..... ....... ......... ........... ............. E22g 2.00000 -0.35600 -1.87327 1.02287 1.50913 -1.56011 -0.95374 1.89964 0.27747 -1.99842 0.43396 1.84393 -1.09039 -1.45576 1.60863 0.88309 -1.92301 -0.19851 1.99368 -0.51123 -1.81168 1.15618 1.40008 -1.65461 -0.81105 1.94334 0.11923 -1.98578 0.58770 1.77657 -1.22015 -1.34220 1.69797 0.73773 -1.96059 -0.03976 1.97475 -0.66324 -1.73864 1.28219 0.00000 2.00000 1.28219 -1.73864 -0.66324 1.97475 -0.03976 -1.96059 0.73773 1.69797 -1.34220 -1.22015 1.77657 0.58770 -1.98578 0.11923 1.94334 -0.81105 -1.65461 1.40008 1.15618 -1.81168 -0.51123 1.99368 -0.19851 -1.92301 0.88309 1.60863 -1.45576 -1.09039 1.84393 0.43396 -1.99842 0.27747 1.89964 -0.95374 -1.56011 1.50913 1.02287 -1.87327 -0.35600 0.00000 ... ... ..... ....... ......... ........... ............. E23g 2.00000 -0.51123 -1.73864 1.40008 1.02287 -1.92301 -0.03976 1.94334 -0.95374 -1.45576 1.69797 0.58770 -1.99842 0.43396 1.77657 -1.34220 -1.09039 1.89964 0.11923 -1.96059 0.88309 1.50913 -1.65461 -0.66324 1.99368 -0.35600 -1.81168 1.28219 1.15618 -1.87327 -0.19851 1.97475 -0.81105 -1.56011 1.60863 0.73773 -1.98578 0.27747 1.84393 -1.22015 0.00000 2.00000 -1.22015 1.84393 0.27747 -1.98578 0.73773 1.60863 -1.56011 -0.81105 1.97475 -0.19851 -1.87327 1.15618 1.28219 -1.81168 -0.35600 1.99368 -0.66324 -1.65461 1.50913 0.88309 -1.96059 0.11923 1.89964 -1.09039 -1.34220 1.77657 0.43396 -1.99842 0.58770 1.69797 -1.45576 -0.95374 1.94334 -0.03976 -1.92301 1.02287 1.40008 -1.73864 -0.51123 0.00000 ... ... ..... ....... ......... ........... ............. E24g 2.00000 -0.66324 -1.56011 1.69797 0.43396 -1.98578 0.88309 1.40008 -1.81168 -0.19851 1.94334 -1.09039 -1.22015 1.89964 -0.03976 -1.87327 1.28219 1.02287 -1.96059 0.27747 1.77657 -1.45576 -0.81105 1.99368 -0.51123 -1.65461 1.60863 0.58770 -1.99842 0.73773 1.50913 -1.73864 -0.35600 1.97475 -0.95374 -1.34220 1.84393 0.11923 -1.92301 1.15618 0.00000 2.00000 1.15618 -1.92301 0.11923 1.84393 -1.34220 -0.95374 1.97475 -0.35600 -1.73864 1.50913 0.73773 -1.99842 0.58770 1.60863 -1.65461 -0.51123 1.99368 -0.81105 -1.45576 1.77657 0.27747 -1.96059 1.02287 1.28219 -1.87327 -0.03976 1.89964 -1.22015 -1.09039 1.94334 -0.19851 -1.81168 1.40008 0.88309 -1.98578 0.43396 1.69797 -1.56011 -0.66324 0.00000 ... ... ..... ....... ......... ........... ............. E25g 2.00000 -0.81105 -1.34220 1.89964 -0.19851 -1.73864 1.60863 0.43396 -1.96059 1.15618 1.02287 -1.98578 0.58770 1.50913 -1.81168 -0.03976 1.84393 -1.45576 -0.66324 1.99368 -0.95374 -1.22015 1.94334 -0.35600 -1.65461 1.69797 0.27747 -1.92301 1.28219 0.88309 -1.99842 0.73773 1.40008 -1.87327 0.11923 1.77657 -1.56011 -0.51123 1.97475 -1.09039 0.00000 2.00000 -1.09039 1.97475 -0.51123 -1.56011 1.77657 0.11923 -1.87327 1.40008 0.73773 -1.99842 0.88309 1.28219 -1.92301 0.27747 1.69797 -1.65461 -0.35600 1.94334 -1.22015 -0.95374 1.99368 -0.66324 -1.45576 1.84393 -0.03976 -1.81168 1.50913 0.58770 -1.98578 1.02287 1.15618 -1.96059 0.43396 1.60863 -1.73864 -0.19851 1.89964 -1.34220 -0.81105 0.00000 ... ... ..... ....... ......... ........... ............. E26g 2.00000 -0.95374 -1.09039 1.99368 -0.81105 -1.22015 1.97475 -0.66324 -1.34220 1.94334 -0.51123 -1.45576 1.89964 -0.35600 -1.56011 1.84393 -0.19851 -1.65461 1.77657 -0.03976 -1.73864 1.69797 0.11923 -1.81168 1.60863 0.27747 -1.87327 1.50913 0.43396 -1.92301 1.40008 0.58770 -1.96059 1.28219 0.73773 -1.98578 1.15618 0.88309 -1.99842 1.02287 0.00000 2.00000 1.02287 -1.99842 0.88309 1.15618 -1.98578 0.73773 1.28219 -1.96059 0.58770 1.40008 -1.92301 0.43396 1.50913 -1.87327 0.27747 1.60863 -1.81168 0.11923 1.69797 -1.73864 -0.03976 1.77657 -1.65461 -0.19851 1.84393 -1.56011 -0.35600 1.89964 -1.45576 -0.51123 1.94334 -1.34220 -0.66324 1.97475 -1.22015 -0.81105 1.99368 -1.09039 -0.95374 0.00000 ... ... ..... ....... ......... ........... ............. E27g 2.00000 -1.09039 -0.81105 1.97475 -1.34220 -0.51123 1.89964 -1.56011 -0.19851 1.77657 -1.73864 0.11923 1.60863 -1.87327 0.43396 1.40008 -1.96059 0.73773 1.15618 -1.99842 1.02287 0.88309 -1.98578 1.28219 0.58770 -1.92301 1.50913 0.27747 -1.81168 1.69797 -0.03976 -1.65461 1.84393 -0.35600 -1.45576 1.94334 -0.66324 -1.22015 1.99368 -0.95374 0.00000 2.00000 -0.95374 1.99368 -1.22015 -0.66324 1.94334 -1.45576 -0.35600 1.84393 -1.65461 -0.03976 1.69797 -1.81168 0.27747 1.50913 -1.92301 0.58770 1.28219 -1.98578 0.88309 1.02287 -1.99842 1.15618 0.73773 -1.96059 1.40008 0.43396 -1.87327 1.60863 0.11923 -1.73864 1.77657 -0.19851 -1.56011 1.89964 -0.51123 -1.34220 1.97475 -0.81105 -1.09039 0.00000 ... ... ..... ....... ......... ........... ............. E28g 2.00000 -1.22015 -0.51123 1.84393 -1.73864 0.27747 1.40008 -1.98578 1.02287 0.73773 -1.92301 1.60863 -0.03976 -1.56011 1.94334 -0.81105 -0.95374 1.97475 -1.45576 -0.19851 1.69797 -1.87327 0.58770 1.15618 -1.99842 1.28219 0.43396 -1.81168 1.77657 -0.35600 -1.34220 1.99368 -1.09039 -0.66324 1.89964 -1.65461 0.11923 1.50913 -1.96059 0.88309 0.00000 2.00000 0.88309 -1.96059 1.50913 0.11923 -1.65461 1.89964 -0.66324 -1.09039 1.99368 -1.34220 -0.35600 1.77657 -1.81168 0.43396 1.28219 -1.99842 1.15618 0.58770 -1.87327 1.69797 -0.19851 -1.45576 1.97475 -0.95374 -0.81105 1.94334 -1.56011 -0.03976 1.60863 -1.92301 0.73773 1.02287 -1.98578 1.40008 0.27747 -1.73864 1.84393 -0.51123 -1.22015 0.00000 ... ... ..... ....... ......... ........... ............. E29g 2.00000 -1.34220 -0.19851 1.60863 -1.96059 1.02287 0.58770 -1.81168 1.84393 -0.66324 -0.95374 1.94334 -1.65461 0.27747 1.28219 -1.99842 1.40008 0.11923 -1.56011 1.97475 -1.09039 -0.51123 1.77657 -1.87327 0.73773 0.88309 -1.92301 1.69797 -0.35600 -1.22015 1.99368 -1.45576 -0.03976 1.50913 -1.98578 1.15618 0.43396 -1.73864 1.89964 -0.81105 0.00000 2.00000 -0.81105 1.89964 -1.73864 0.43396 1.15618 -1.98578 1.50913 -0.03976 -1.45576 1.99368 -1.22015 -0.35600 1.69797 -1.92301 0.88309 0.73773 -1.87327 1.77657 -0.51123 -1.09039 1.97475 -1.56011 0.11923 1.40008 -1.99842 1.28219 0.27747 -1.65461 1.94334 -0.95374 -0.66324 1.84393 -1.81168 0.58770 1.02287 -1.96059 1.60863 -0.19851 -1.34220 0.00000 ... ... ..... ....... ......... ........... ............. E30g 2.00000 -1.45576 0.11923 1.28219 -1.98578 1.60863 -0.35600 -1.09039 1.94334 -1.73864 0.58770 0.88309 -1.87327 1.84393 -0.81105 -0.66324 1.77657 -1.92301 1.02287 0.43396 -1.65461 1.97475 -1.22015 -0.19851 1.50913 -1.99842 1.40008 -0.03976 -1.34220 1.99368 -1.56011 0.27747 1.15618 -1.96059 1.69797 -0.51123 -0.95374 1.89964 -1.81168 0.73773 0.00000 2.00000 0.73773 -1.81168 1.89964 -0.95374 -0.51123 1.69797 -1.96059 1.15618 0.27747 -1.56011 1.99368 -1.34220 -0.03976 1.40008 -1.99842 1.50913 -0.19851 -1.22015 1.97475 -1.65461 0.43396 1.02287 -1.92301 1.77657 -0.66324 -0.81105 1.84393 -1.87327 0.88309 0.58770 -1.73864 1.94334 -1.09039 -0.35600 1.60863 -1.98578 1.28219 0.11923 -1.45576 0.00000 ... ... ..... ....... ......... ........... ............. E31g 2.00000 -1.56011 0.43396 0.88309 -1.81168 1.94334 -1.22015 -0.03976 1.28219 -1.96059 1.77657 -0.81105 -0.51123 1.60863 -1.99842 1.50913 -0.35600 -0.95374 1.84393 -1.92301 1.15618 0.11923 -1.34220 1.97475 -1.73864 0.73773 0.58770 -1.65461 1.99368 -1.45576 0.27747 1.02287 -1.87327 1.89964 -1.09039 -0.19851 1.40008 -1.98578 1.69797 -0.66324 0.00000 2.00000 -0.66324 1.69797 -1.98578 1.40008 -0.19851 -1.09039 1.89964 -1.87327 1.02287 0.27747 -1.45576 1.99368 -1.65461 0.58770 0.73773 -1.73864 1.97475 -1.34220 0.11923 1.15618 -1.92301 1.84393 -0.95374 -0.35600 1.50913 -1.99842 1.60863 -0.51123 -0.81105 1.77657 -1.96059 1.28219 -0.03976 -1.22015 1.94334 -1.81168 0.88309 0.43396 -1.56011 0.00000 ... ... ..... ....... ......... ........... ............. E32g 2.00000 -1.65461 0.73773 0.43396 -1.45576 1.97475 -1.81168 1.02287 0.11923 -1.22015 1.89964 -1.92301 1.28219 -0.19851 -0.95374 1.77657 -1.98578 1.50913 -0.51123 -0.66324 1.60863 -1.99842 1.69797 -0.81105 -0.35600 1.40008 -1.96059 1.84393 -1.09039 -0.03976 1.15618 -1.87327 1.94334 -1.34220 0.27747 0.88309 -1.73864 1.99368 -1.56011 0.58770 0.00000 2.00000 0.58770 -1.56011 1.99368 -1.73864 0.88309 0.27747 -1.34220 1.94334 -1.87327 1.15618 -0.03976 -1.09039 1.84393 -1.96059 1.40008 -0.35600 -0.81105 1.69797 -1.99842 1.60863 -0.66324 -0.51123 1.50913 -1.98578 1.77657 -0.95374 -0.19851 1.28219 -1.92301 1.89964 -1.22015 0.11923 1.02287 -1.81168 1.97475 -1.45576 0.43396 0.73773 -1.65461 0.00000 ... ... ..... ....... ......... ........... ............. E33g 2.00000 -1.73864 1.02287 -0.03976 -0.95374 1.69797 -1.99842 1.77657 -1.09039 0.11923 0.88309 -1.65461 1.99368 -1.81168 1.15618 -0.19851 -0.81105 1.60863 -1.98578 1.84393 -1.22015 0.27747 0.73773 -1.56011 1.97475 -1.87327 1.28219 -0.35600 -0.66324 1.50913 -1.96059 1.89964 -1.34220 0.43396 0.58770 -1.45576 1.94334 -1.92301 1.40008 -0.51123 0.00000 2.00000 -0.51123 1.40008 -1.92301 1.94334 -1.45576 0.58770 0.43396 -1.34220 1.89964 -1.96059 1.50913 -0.66324 -0.35600 1.28219 -1.87327 1.97475 -1.56011 0.73773 0.27747 -1.22015 1.84393 -1.98578 1.60863 -0.81105 -0.19851 1.15618 -1.81168 1.99368 -1.65461 0.88309 0.11923 -1.09039 1.77657 -1.99842 1.69797 -0.95374 -0.03976 1.02287 -1.73864 0.00000 ... ... ..... ....... ......... ........... ............. E34g 2.00000 -1.81168 1.28219 -0.51123 -0.35600 1.15618 -1.73864 1.99368 -1.87327 1.40008 -0.66324 -0.19851 1.02287 -1.65461 1.97475 -1.92301 1.50913 -0.81105 -0.03976 0.88309 -1.56011 1.94334 -1.96059 1.60863 -0.95374 0.11923 0.73773 -1.45576 1.89964 -1.98578 1.69797 -1.09039 0.27747 0.58770 -1.34220 1.84393 -1.99842 1.77657 -1.22015 0.43396 0.00000 2.00000 0.43396 -1.22015 1.77657 -1.99842 1.84393 -1.34220 0.58770 0.27747 -1.09039 1.69797 -1.98578 1.89964 -1.45576 0.73773 0.11923 -0.95374 1.60863 -1.96059 1.94334 -1.56011 0.88309 -0.03976 -0.81105 1.50913 -1.92301 1.97475 -1.65461 1.02287 -0.19851 -0.66324 1.40008 -1.87327 1.99368 -1.73864 1.15618 -0.35600 -0.51123 1.28219 -1.81168 0.00000 ... ... ..... ....... ......... ........... ............. E35g 2.00000 -1.87327 1.50913 -0.95374 0.27747 0.43396 -1.09039 1.60863 -1.92301 1.99368 -1.81168 1.40008 -0.81105 0.11923 0.58770 -1.22015 1.69797 -1.96059 1.97475 -1.73864 1.28219 -0.66324 -0.03976 0.73773 -1.34220 1.77657 -1.98578 1.94334 -1.65461 1.15618 -0.51123 -0.19851 0.88309 -1.45576 1.84393 -1.99842 1.89964 -1.56011 1.02287 -0.35600 0.00000 2.00000 -0.35600 1.02287 -1.56011 1.89964 -1.99842 1.84393 -1.45576 0.88309 -0.19851 -0.51123 1.15618 -1.65461 1.94334 -1.98578 1.77657 -1.34220 0.73773 -0.03976 -0.66324 1.28219 -1.73864 1.97475 -1.96059 1.69797 -1.22015 0.58770 0.11923 -0.81105 1.40008 -1.81168 1.99368 -1.92301 1.60863 -1.09039 0.43396 0.27747 -0.95374 1.50913 -1.87327 0.00000 ... ... ..... ....... ......... ........... ............. E36g 2.00000 -1.92301 1.69797 -1.34220 0.88309 -0.35600 -0.19851 0.73773 -1.22015 1.60863 -1.87327 1.99368 -1.96059 1.77657 -1.45576 1.02287 -0.51123 -0.03976 0.58770 -1.09039 1.50913 -1.81168 1.97475 -1.98578 1.84393 -1.56011 1.15618 -0.66324 0.11923 0.43396 -0.95374 1.40008 -1.73864 1.94334 -1.99842 1.89964 -1.65461 1.28219 -0.81105 0.27747 0.00000 2.00000 0.27747 -0.81105 1.28219 -1.65461 1.89964 -1.99842 1.94334 -1.73864 1.40008 -0.95374 0.43396 0.11923 -0.66324 1.15618 -1.56011 1.84393 -1.98578 1.97475 -1.81168 1.50913 -1.09039 0.58770 -0.03976 -0.51123 1.02287 -1.45576 1.77657 -1.96059 1.99368 -1.87327 1.60863 -1.22015 0.73773 -0.19851 -0.35600 0.88309 -1.34220 1.69797 -1.92301 0.00000 ... ... ..... ....... ......... ........... ............. E37g 2.00000 -1.96059 1.84393 -1.65461 1.40008 -1.09039 0.73773 -0.35600 -0.03976 0.43396 -0.81105 1.15618 -1.45576 1.69797 -1.87327 1.97475 -1.99842 1.94334 -1.81168 1.60863 -1.34220 1.02287 -0.66324 0.27747 0.11923 -0.51123 0.88309 -1.22015 1.50913 -1.73864 1.89964 -1.98578 1.99368 -1.92301 1.77657 -1.56011 1.28219 -0.95374 0.58770 -0.19851 0.00000 2.00000 -0.19851 0.58770 -0.95374 1.28219 -1.56011 1.77657 -1.92301 1.99368 -1.98578 1.89964 -1.73864 1.50913 -1.22015 0.88309 -0.51123 0.11923 0.27747 -0.66324 1.02287 -1.34220 1.60863 -1.81168 1.94334 -1.99842 1.97475 -1.87327 1.69797 -1.45576 1.15618 -0.81105 0.43396 -0.03976 -0.35600 0.73773 -1.09039 1.40008 -1.65461 1.84393 -1.96059 0.00000 ... ... ..... ....... ......... ........... ............. E38g 2.00000 -1.98578 1.94334 -1.87327 1.77657 -1.65461 1.50913 -1.34220 1.15618 -0.95374 0.73773 -0.51123 0.27747 -0.03976 -0.19851 0.43396 -0.66324 0.88309 -1.09039 1.28219 -1.45576 1.60863 -1.73864 1.84393 -1.92301 1.97475 -1.99842 1.99368 -1.96059 1.89964 -1.81168 1.69797 -1.56011 1.40008 -1.22015 1.02287 -0.81105 0.58770 -0.35600 0.11923 0.00000 2.00000 0.11923 -0.35600 0.58770 -0.81105 1.02287 -1.22015 1.40008 -1.56011 1.69797 -1.81168 1.89964 -1.96059 1.99368 -1.99842 1.97475 -1.92301 1.84393 -1.73864 1.60863 -1.45576 1.28219 -1.09039 0.88309 -0.66324 0.43396 -0.19851 -0.03976 0.27747 -0.51123 0.73773 -0.95374 1.15618 -1.34220 1.50913 -1.65461 1.77657 -1.87327 1.94334 -1.98578 0.00000 ... ... ..... ....... ......... ........... ............. E39g 2.00000 -1.99842 1.99368 -1.98578 1.97475 -1.96059 1.94334 -1.92301 1.89964 -1.87327 1.84393 -1.81168 1.77657 -1.73864 1.69797 -1.65461 1.60863 -1.56011 1.50913 -1.45576 1.40008 -1.34220 1.28219 -1.22015 1.15618 -1.09039 1.02287 -0.95374 0.88309 -0.81105 0.73773 -0.66324 0.58770 -0.51123 0.43396 -0.35600 0.27747 -0.19851 0.11923 -0.03976 0.00000 2.00000 -0.03976 0.11923 -0.19851 0.27747 -0.35600 0.43396 -0.51123 0.58770 -0.66324 0.73773 -0.81105 0.88309 -0.95374 1.02287 -1.09039 1.15618 -1.22015 1.28219 -1.34220 1.40008 -1.45576 1.50913 -1.56011 1.60863 -1.65461 1.69797 -1.73864 1.77657 -1.81168 1.84393 -1.87327 1.89964 -1.92301 1.94334 -1.96059 1.97475 -1.98578 1.99368 -1.99842 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 -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 -1.00000 1.00000 ... ..T ..... ......T ......... ..........T ............. E1u 2.00000 1.99368 1.97475 1.94334 1.89964 1.84393 1.77657 1.69797 1.60863 1.50913 1.40008 1.28219 1.15618 1.02287 0.88309 0.73773 0.58770 0.43396 0.27747 0.11923 -0.03976 -0.19851 -0.35600 -0.51123 -0.66324 -0.81105 -0.95374 -1.09039 -1.22015 -1.34220 -1.45576 -1.56011 -1.65461 -1.73864 -1.81168 -1.87327 -1.92301 -1.96059 -1.98578 -1.99842 0.00000 -2.00000 1.99842 1.98578 1.96059 1.92301 1.87327 1.81168 1.73864 1.65461 1.56011 1.45576 1.34220 1.22015 1.09039 0.95374 0.81105 0.66324 0.51123 0.35600 0.19851 0.03976 -0.11923 -0.27747 -0.43396 -0.58770 -0.73773 -0.88309 -1.02287 -1.15618 -1.28219 -1.40008 -1.50913 -1.60863 -1.69797 -1.77657 -1.84393 -1.89964 -1.94334 -1.97475 -1.99368 0.00000 ... TT. ..... ....TT. ......... ........TT. ............. E2u 2.00000 1.97475 1.89964 1.77657 1.60863 1.40008 1.15618 0.88309 0.58770 0.27747 -0.03976 -0.35600 -0.66324 -0.95374 -1.22015 -1.45576 -1.65461 -1.81168 -1.92301 -1.98578 -1.99842 -1.96059 -1.87327 -1.73864 -1.56011 -1.34220 -1.09039 -0.81105 -0.51123 -0.19851 0.11923 0.43396 0.73773 1.02287 1.28219 1.50913 1.69797 1.84393 1.94334 1.99368 0.00000 -2.00000 -1.99368 -1.94334 -1.84393 -1.69797 -1.50913 -1.28219 -1.02287 -0.73773 -0.43396 -0.11923 0.19851 0.51123 0.81105 1.09039 1.34220 1.56011 1.73864 1.87327 1.96059 1.99842 1.98578 1.92301 1.81168 1.65461 1.45576 1.22015 0.95374 0.66324 0.35600 0.03976 -0.27747 -0.58770 -0.88309 -1.15618 -1.40008 -1.60863 -1.77657 -1.89964 -1.97475 0.00000 ... ... ..... ..TT... ......... ......TT... ............. E3u 2.00000 1.94334 1.77657 1.50913 1.15618 0.73773 0.27747 -0.19851 -0.66324 -1.09039 -1.45576 -1.73864 -1.92301 -1.99842 -1.96059 -1.81168 -1.56011 -1.22015 -0.81105 -0.35600 0.11923 0.58770 1.02287 1.40008 1.69797 1.89964 1.99368 1.97475 1.84393 1.60863 1.28219 0.88309 0.43396 -0.03976 -0.51123 -0.95374 -1.34220 -1.65461 -1.87327 -1.98578 0.00000 -2.00000 1.98578 1.87327 1.65461 1.34220 0.95374 0.51123 0.03976 -0.43396 -0.88309 -1.28219 -1.60863 -1.84393 -1.97475 -1.99368 -1.89964 -1.69797 -1.40008 -1.02287 -0.58770 -0.11923 0.35600 0.81105 1.22015 1.56011 1.81168 1.96059 1.99842 1.92301 1.73864 1.45576 1.09039 0.66324 0.19851 -0.27747 -0.73773 -1.15618 -1.50913 -1.77657 -1.94334 0.00000 ... ... ..... TT..... ......... ....TT..... ............. E4u 2.00000 1.89964 1.60863 1.15618 0.58770 -0.03976 -0.66324 -1.22015 -1.65461 -1.92301 -1.99842 -1.87327 -1.56011 -1.09039 -0.51123 0.11923 0.73773 1.28219 1.69797 1.94334 1.99368 1.84393 1.50913 1.02287 0.43396 -0.19851 -0.81105 -1.34220 -1.73864 -1.96059 -1.98578 -1.81168 -1.45576 -0.95374 -0.35600 0.27747 0.88309 1.40008 1.77657 1.97475 0.00000 -2.00000 -1.97475 -1.77657 -1.40008 -0.88309 -0.27747 0.35600 0.95374 1.45576 1.81168 1.98578 1.96059 1.73864 1.34220 0.81105 0.19851 -0.43396 -1.02287 -1.50913 -1.84393 -1.99368 -1.94334 -1.69797 -1.28219 -0.73773 -0.11923 0.51123 1.09039 1.56011 1.87327 1.99842 1.92301 1.65461 1.22015 0.66324 0.03976 -0.58770 -1.15618 -1.60863 -1.89964 0.00000 ... ... ..... ....... ......... ..TT....... ............. E5u 2.00000 1.84393 1.40008 0.73773 -0.03976 -0.81105 -1.45576 -1.87327 -1.99842 -1.81168 -1.34220 -0.66324 0.11923 0.88309 1.50913 1.89964 1.99368 1.77657 1.28219 0.58770 -0.19851 -0.95374 -1.56011 -1.92301 -1.98578 -1.73864 -1.22015 -0.51123 0.27747 1.02287 1.60863 1.94334 1.97475 1.69797 1.15618 0.43396 -0.35600 -1.09039 -1.65461 -1.96059 0.00000 -2.00000 1.96059 1.65461 1.09039 0.35600 -0.43396 -1.15618 -1.69797 -1.97475 -1.94334 -1.60863 -1.02287 -0.27747 0.51123 1.22015 1.73864 1.98578 1.92301 1.56011 0.95374 0.19851 -0.58770 -1.28219 -1.77657 -1.99368 -1.89964 -1.50913 -0.88309 -0.11923 0.66324 1.34220 1.81168 1.99842 1.87327 1.45576 0.81105 0.03976 -0.73773 -1.40008 -1.84393 0.00000 ... ... ..... ....... ......... TT......... ............. E6u 2.00000 1.77657 1.15618 0.27747 -0.66324 -1.45576 -1.92301 -1.96059 -1.56011 -0.81105 0.11923 1.02287 1.69797 1.99368 1.84393 1.28219 0.43396 -0.51123 -1.34220 -1.87327 -1.98578 -1.65461 -0.95374 -0.03976 0.88309 1.60863 1.97475 1.89964 1.40008 0.58770 -0.35600 -1.22015 -1.81168 -1.99842 -1.73864 -1.09039 -0.19851 0.73773 1.50913 1.94334 0.00000 -2.00000 -1.94334 -1.50913 -0.73773 0.19851 1.09039 1.73864 1.99842 1.81168 1.22015 0.35600 -0.58770 -1.40008 -1.89964 -1.97475 -1.60863 -0.88309 0.03976 0.95374 1.65461 1.98578 1.87327 1.34220 0.51123 -0.43396 -1.28219 -1.84393 -1.99368 -1.69797 -1.02287 -0.11923 0.81105 1.56011 1.96059 1.92301 1.45576 0.66324 -0.27747 -1.15618 -1.77657 0.00000 ... ... ..... ....... ......... ........... ............. E7u 2.00000 1.69797 0.88309 -0.19851 -1.22015 -1.87327 -1.96059 -1.45576 -0.51123 0.58770 1.50913 1.97475 1.84393 1.15618 0.11923 -0.95374 -1.73864 -1.99842 -1.65461 -0.81105 0.27747 1.28219 1.89964 1.94334 1.40008 0.43396 -0.66324 -1.56011 -1.98578 -1.81168 -1.09039 -0.03976 1.02287 1.77657 1.99368 1.60863 0.73773 -0.35600 -1.34220 -1.92301 0.00000 -2.00000 1.92301 1.34220 0.35600 -0.73773 -1.60863 -1.99368 -1.77657 -1.02287 0.03976 1.09039 1.81168 1.98578 1.56011 0.66324 -0.43396 -1.40008 -1.94334 -1.89964 -1.28219 -0.27747 0.81105 1.65461 1.99842 1.73864 0.95374 -0.11923 -1.15618 -1.84393 -1.97475 -1.50913 -0.58770 0.51123 1.45576 1.96059 1.87327 1.22015 0.19851 -0.88309 -1.69797 0.00000 ... ... ..... ....... ......... ........... ............. E8u 2.00000 1.60863 0.58770 -0.66324 -1.65461 -1.99842 -1.56011 -0.51123 0.73773 1.69797 1.99368 1.50913 0.43396 -0.81105 -1.73864 -1.98578 -1.45576 -0.35600 0.88309 1.77657 1.97475 1.40008 0.27747 -0.95374 -1.81168 -1.96059 -1.34220 -0.19851 1.02287 1.84393 1.94334 1.28219 0.11923 -1.09039 -1.87327 -1.92301 -1.22015 -0.03976 1.15618 1.89964 0.00000 -2.00000 -1.89964 -1.15618 0.03976 1.22015 1.92301 1.87327 1.09039 -0.11923 -1.28219 -1.94334 -1.84393 -1.02287 0.19851 1.34220 1.96059 1.81168 0.95374 -0.27747 -1.40008 -1.97475 -1.77657 -0.88309 0.35600 1.45576 1.98578 1.73864 0.81105 -0.43396 -1.50913 -1.99368 -1.69797 -0.73773 0.51123 1.56011 1.99842 1.65461 0.66324 -0.58770 -1.60863 0.00000 ... ... ..... ....... ......... ........... ............. E9u 2.00000 1.50913 0.27747 -1.09039 -1.92301 -1.81168 -0.81105 0.58770 1.69797 1.97475 1.28219 -0.03976 -1.34220 -1.98578 -1.65461 -0.51123 0.88309 1.84393 1.89964 1.02287 -0.35600 -1.56011 -1.99842 -1.45576 -0.19851 1.15618 1.94334 1.77657 0.73773 -0.66324 -1.73864 -1.96059 -1.22015 0.11923 1.40008 1.99368 1.60863 0.43396 -0.95374 -1.87327 0.00000 -2.00000 1.87327 0.95374 -0.43396 -1.60863 -1.99368 -1.40008 -0.11923 1.22015 1.96059 1.73864 0.66324 -0.73773 -1.77657 -1.94334 -1.15618 0.19851 1.45576 1.99842 1.56011 0.35600 -1.02287 -1.89964 -1.84393 -0.88309 0.51123 1.65461 1.98578 1.34220 0.03976 -1.28219 -1.97475 -1.69797 -0.58770 0.81105 1.81168 1.92301 1.09039 -0.27747 -1.50913 0.00000 ... ... ..... ....... ......... ........... ............. E10u 2.00000 1.40008 -0.03976 -1.45576 -1.99842 -1.34220 0.11923 1.50913 1.99368 1.28219 -0.19851 -1.56011 -1.98578 -1.22015 0.27747 1.60863 1.97475 1.15618 -0.35600 -1.65461 -1.96059 -1.09039 0.43396 1.69797 1.94334 1.02287 -0.51123 -1.73864 -1.92301 -0.95374 0.58770 1.77657 1.89964 0.88309 -0.66324 -1.81168 -1.87327 -0.81105 0.73773 1.84393 0.00000 -2.00000 -1.84393 -0.73773 0.81105 1.87327 1.81168 0.66324 -0.88309 -1.89964 -1.77657 -0.58770 0.95374 1.92301 1.73864 0.51123 -1.02287 -1.94334 -1.69797 -0.43396 1.09039 1.96059 1.65461 0.35600 -1.15618 -1.97475 -1.60863 -0.27747 1.22015 1.98578 1.56011 0.19851 -1.28219 -1.99368 -1.50913 -0.11923 1.34220 1.99842 1.45576 0.03976 -1.40008 0.00000 ... ... ..... ....... ......... ........... ............. E11u 2.00000 1.28219 -0.35600 -1.73864 -1.87327 -0.66324 1.02287 1.97475 1.50913 -0.03976 -1.56011 -1.96059 -0.95374 0.73773 1.89964 1.69797 0.27747 -1.34220 -1.99842 -1.22015 0.43396 1.77657 1.84393 0.58770 -1.09039 -1.98578 -1.45576 0.11923 1.60863 1.94334 0.88309 -0.81105 -1.92301 -1.65461 -0.19851 1.40008 1.99368 1.15618 -0.51123 -1.81168 0.00000 -2.00000 1.81168 0.51123 -1.15618 -1.99368 -1.40008 0.19851 1.65461 1.92301 0.81105 -0.88309 -1.94334 -1.60863 -0.11923 1.45576 1.98578 1.09039 -0.58770 -1.84393 -1.77657 -0.43396 1.22015 1.99842 1.34220 -0.27747 -1.69797 -1.89964 -0.73773 0.95374 1.96059 1.56011 0.03976 -1.50913 -1.97475 -1.02287 0.66324 1.87327 1.73864 0.35600 -1.28219 0.00000 ... ... ..... ....... ......... ........... ............. E12u 2.00000 1.15618 -0.66324 -1.92301 -1.56011 0.11923 1.69797 1.84393 0.43396 -1.34220 -1.98578 -0.95374 0.88309 1.97475 1.40008 -0.35600 -1.81168 -1.73864 -0.19851 1.50913 1.94334 0.73773 -1.09039 -1.99842 -1.22015 0.58770 1.89964 1.60863 -0.03976 -1.65461 -1.87327 -0.51123 1.28219 1.99368 1.02287 -0.81105 -1.96059 -1.45576 0.27747 1.77657 0.00000 -2.00000 -1.77657 -0.27747 1.45576 1.96059 0.81105 -1.02287 -1.99368 -1.28219 0.51123 1.87327 1.65461 0.03976 -1.60863 -1.89964 -0.58770 1.22015 1.99842 1.09039 -0.73773 -1.94334 -1.50913 0.19851 1.73864 1.81168 0.35600 -1.40008 -1.97475 -0.88309 0.95374 1.98578 1.34220 -0.43396 -1.84393 -1.69797 -0.11923 1.56011 1.92301 0.66324 -1.15618 0.00000 ... ... ..... ....... ......... ........... ............. E13u 2.00000 1.02287 -0.95374 -1.99842 -1.09039 0.88309 1.99368 1.15618 -0.81105 -1.98578 -1.22015 0.73773 1.97475 1.28219 -0.66324 -1.96059 -1.34220 0.58770 1.94334 1.40008 -0.51123 -1.92301 -1.45576 0.43396 1.89964 1.50913 -0.35600 -1.87327 -1.56011 0.27747 1.84393 1.60863 -0.19851 -1.81168 -1.65461 0.11923 1.77657 1.69797 -0.03976 -1.73864 0.00000 -2.00000 1.73864 0.03976 -1.69797 -1.77657 -0.11923 1.65461 1.81168 0.19851 -1.60863 -1.84393 -0.27747 1.56011 1.87327 0.35600 -1.50913 -1.89964 -0.43396 1.45576 1.92301 0.51123 -1.40008 -1.94334 -0.58770 1.34220 1.96059 0.66324 -1.28219 -1.97475 -0.73773 1.22015 1.98578 0.81105 -1.15618 -1.99368 -0.88309 1.09039 1.99842 0.95374 -1.02287 0.00000 ... ... ..... ....... ......... ........... ............. E14u 2.00000 0.88309 -1.22015 -1.96059 -0.51123 1.50913 1.84393 0.11923 -1.73864 -1.65461 0.27747 1.89964 1.40008 -0.66324 -1.98578 -1.09039 1.02287 1.99368 0.73773 -1.34220 -1.92301 -0.35600 1.60863 1.77657 -0.03976 -1.81168 -1.56011 0.43396 1.94334 1.28219 -0.81105 -1.99842 -0.95374 1.15618 1.97475 0.58770 -1.45576 -1.87327 -0.19851 1.69797 0.00000 -2.00000 -1.69797 0.19851 1.87327 1.45576 -0.58770 -1.97475 -1.15618 0.95374 1.99842 0.81105 -1.28219 -1.94334 -0.43396 1.56011 1.81168 0.03976 -1.77657 -1.60863 0.35600 1.92301 1.34220 -0.73773 -1.99368 -1.02287 1.09039 1.98578 0.66324 -1.40008 -1.89964 -0.27747 1.65461 1.73864 -0.11923 -1.84393 -1.50913 0.51123 1.96059 1.22015 -0.88309 0.00000 ... ... ..... ....... ......... ........... ............. E15u 2.00000 0.73773 -1.45576 -1.81168 0.11923 1.89964 1.28219 -0.95374 -1.98578 -0.51123 1.60863 1.69797 -0.35600 -1.96059 -1.09039 1.15618 1.94334 0.27747 -1.73864 -1.56011 0.58770 1.99368 0.88309 -1.34220 -1.87327 -0.03976 1.84393 1.40008 -0.81105 -1.99842 -0.66324 1.50913 1.77657 -0.19851 -1.92301 -1.22015 1.02287 1.97475 0.43396 -1.65461 0.00000 -2.00000 1.65461 -0.43396 -1.97475 -1.02287 1.22015 1.92301 0.19851 -1.77657 -1.50913 0.66324 1.99842 0.81105 -1.40008 -1.84393 0.03976 1.87327 1.34220 -0.88309 -1.99368 -0.58770 1.56011 1.73864 -0.27747 -1.94334 -1.15618 1.09039 1.96059 0.35600 -1.69797 -1.60863 0.51123 1.98578 0.95374 -1.28219 -1.89964 -0.11923 1.81168 1.45576 -0.73773 0.00000 ... ... ..... ....... ......... ........... ............. E16u 2.00000 0.58770 -1.65461 -1.56011 0.73773 1.99368 0.43396 -1.73864 -1.45576 0.88309 1.97475 0.27747 -1.81168 -1.34220 1.02287 1.94334 0.11923 -1.87327 -1.22015 1.15618 1.89964 -0.03976 -1.92301 -1.09039 1.28219 1.84393 -0.19851 -1.96059 -0.95374 1.40008 1.77657 -0.35600 -1.98578 -0.81105 1.50913 1.69797 -0.51123 -1.99842 -0.66324 1.60863 0.00000 -2.00000 -1.60863 0.66324 1.99842 0.51123 -1.69797 -1.50913 0.81105 1.98578 0.35600 -1.77657 -1.40008 0.95374 1.96059 0.19851 -1.84393 -1.28219 1.09039 1.92301 0.03976 -1.89964 -1.15618 1.22015 1.87327 -0.11923 -1.94334 -1.02287 1.34220 1.81168 -0.27747 -1.97475 -0.88309 1.45576 1.73864 -0.43396 -1.99368 -0.73773 1.56011 1.65461 -0.58770 0.00000 ... ... ..... ....... ......... ........... ............. E17u 2.00000 0.43396 -1.81168 -1.22015 1.28219 1.77657 -0.51123 -1.99842 -0.35600 1.84393 1.15618 -1.34220 -1.73864 0.58770 1.99368 0.27747 -1.87327 -1.09039 1.40008 1.69797 -0.66324 -1.98578 -0.19851 1.89964 1.02287 -1.45576 -1.65461 0.73773 1.97475 0.11923 -1.92301 -0.95374 1.50913 1.60863 -0.81105 -1.96059 -0.03976 1.94334 0.88309 -1.56011 0.00000 -2.00000 1.56011 -0.88309 -1.94334 0.03976 1.96059 0.81105 -1.60863 -1.50913 0.95374 1.92301 -0.11923 -1.97475 -0.73773 1.65461 1.45576 -1.02287 -1.89964 0.19851 1.98578 0.66324 -1.69797 -1.40008 1.09039 1.87327 -0.27747 -1.99368 -0.58770 1.73864 1.34220 -1.15618 -1.84393 0.35600 1.99842 0.51123 -1.77657 -1.28219 1.22015 1.81168 -0.43396 0.00000 ... ... ..... ....... ......... ........... ............. E18u 2.00000 0.27747 -1.92301 -0.81105 1.69797 1.28219 -1.34220 -1.65461 0.88309 1.89964 -0.35600 -1.99842 -0.19851 1.94334 0.73773 -1.73864 -1.22015 1.40008 1.60863 -0.95374 -1.87327 0.43396 1.99368 0.11923 -1.96059 -0.66324 1.77657 1.15618 -1.45576 -1.56011 1.02287 1.84393 -0.51123 -1.98578 -0.03976 1.97475 0.58770 -1.81168 -1.09039 1.50913 0.00000 -2.00000 -1.50913 1.09039 1.81168 -0.58770 -1.97475 0.03976 1.98578 0.51123 -1.84393 -1.02287 1.56011 1.45576 -1.15618 -1.77657 0.66324 1.96059 -0.11923 -1.99368 -0.43396 1.87327 0.95374 -1.60863 -1.40008 1.22015 1.73864 -0.73773 -1.94334 0.19851 1.99842 0.35600 -1.89964 -0.88309 1.65461 1.34220 -1.28219 -1.69797 0.81105 1.92301 -0.27747 0.00000 ... ... ..... ....... ......... ........... ............. E19u 2.00000 0.11923 -1.98578 -0.35600 1.94334 0.58770 -1.87327 -0.81105 1.77657 1.02287 -1.65461 -1.22015 1.50913 1.40008 -1.34220 -1.56011 1.15618 1.69797 -0.95374 -1.81168 0.73773 1.89964 -0.51123 -1.96059 0.27747 1.99368 -0.03976 -1.99842 -0.19851 1.97475 0.43396 -1.92301 -0.66324 1.84393 0.88309 -1.73864 -1.09039 1.60863 1.28219 -1.45576 0.00000 -2.00000 1.45576 -1.28219 -1.60863 1.09039 1.73864 -0.88309 -1.84393 0.66324 1.92301 -0.43396 -1.97475 0.19851 1.99842 0.03976 -1.99368 -0.27747 1.96059 0.51123 -1.89964 -0.73773 1.81168 0.95374 -1.69797 -1.15618 1.56011 1.34220 -1.40008 -1.50913 1.22015 1.65461 -1.02287 -1.77657 0.81105 1.87327 -0.58770 -1.94334 0.35600 1.98578 -0.11923 0.00000 ... ... ..... ....... ......... ........... ............. E20u 2.00000 -0.03976 -1.99842 0.11923 1.99368 -0.19851 -1.98578 0.27747 1.97475 -0.35600 -1.96059 0.43396 1.94334 -0.51123 -1.92301 0.58770 1.89964 -0.66324 -1.87327 0.73773 1.84393 -0.81105 -1.81168 0.88309 1.77657 -0.95374 -1.73864 1.02287 1.69797 -1.09039 -1.65461 1.15618 1.60863 -1.22015 -1.56011 1.28219 1.50913 -1.34220 -1.45576 1.40008 0.00000 -2.00000 -1.40008 1.45576 1.34220 -1.50913 -1.28219 1.56011 1.22015 -1.60863 -1.15618 1.65461 1.09039 -1.69797 -1.02287 1.73864 0.95374 -1.77657 -0.88309 1.81168 0.81105 -1.84393 -0.73773 1.87327 0.66324 -1.89964 -0.58770 1.92301 0.51123 -1.94334 -0.43396 1.96059 0.35600 -1.97475 -0.27747 1.98578 0.19851 -1.99368 -0.11923 1.99842 0.03976 0.00000 ... ... ..... ....... ......... ........... ............. E21u 2.00000 -0.19851 -1.96059 0.58770 1.84393 -0.95374 -1.65461 1.28219 1.40008 -1.56011 -1.09039 1.77657 0.73773 -1.92301 -0.35600 1.99368 -0.03976 -1.98578 0.43396 1.89964 -0.81105 -1.73864 1.15618 1.50913 -1.45576 -1.22015 1.69797 0.88309 -1.87327 -0.51123 1.97475 0.11923 -1.99842 0.27747 1.94334 -0.66324 -1.81168 1.02287 1.60863 -1.34220 0.00000 -2.00000 1.34220 -1.60863 -1.02287 1.81168 0.66324 -1.94334 -0.27747 1.99842 -0.11923 -1.97475 0.51123 1.87327 -0.88309 -1.69797 1.22015 1.45576 -1.50913 -1.15618 1.73864 0.81105 -1.89964 -0.43396 1.98578 0.03976 -1.99368 0.35600 1.92301 -0.73773 -1.77657 1.09039 1.56011 -1.40008 -1.28219 1.65461 0.95374 -1.84393 -0.58770 1.96059 0.19851 0.00000 ... ... ..... ....... ......... ........... ............. E22u 2.00000 -0.35600 -1.87327 1.02287 1.50913 -1.56011 -0.95374 1.89964 0.27747 -1.99842 0.43396 1.84393 -1.09039 -1.45576 1.60863 0.88309 -1.92301 -0.19851 1.99368 -0.51123 -1.81168 1.15618 1.40008 -1.65461 -0.81105 1.94334 0.11923 -1.98578 0.58770 1.77657 -1.22015 -1.34220 1.69797 0.73773 -1.96059 -0.03976 1.97475 -0.66324 -1.73864 1.28219 0.00000 -2.00000 -1.28219 1.73864 0.66324 -1.97475 0.03976 1.96059 -0.73773 -1.69797 1.34220 1.22015 -1.77657 -0.58770 1.98578 -0.11923 -1.94334 0.81105 1.65461 -1.40008 -1.15618 1.81168 0.51123 -1.99368 0.19851 1.92301 -0.88309 -1.60863 1.45576 1.09039 -1.84393 -0.43396 1.99842 -0.27747 -1.89964 0.95374 1.56011 -1.50913 -1.02287 1.87327 0.35600 0.00000 ... ... ..... ....... ......... ........... ............. E23u 2.00000 -0.51123 -1.73864 1.40008 1.02287 -1.92301 -0.03976 1.94334 -0.95374 -1.45576 1.69797 0.58770 -1.99842 0.43396 1.77657 -1.34220 -1.09039 1.89964 0.11923 -1.96059 0.88309 1.50913 -1.65461 -0.66324 1.99368 -0.35600 -1.81168 1.28219 1.15618 -1.87327 -0.19851 1.97475 -0.81105 -1.56011 1.60863 0.73773 -1.98578 0.27747 1.84393 -1.22015 0.00000 -2.00000 1.22015 -1.84393 -0.27747 1.98578 -0.73773 -1.60863 1.56011 0.81105 -1.97475 0.19851 1.87327 -1.15618 -1.28219 1.81168 0.35600 -1.99368 0.66324 1.65461 -1.50913 -0.88309 1.96059 -0.11923 -1.89964 1.09039 1.34220 -1.77657 -0.43396 1.99842 -0.58770 -1.69797 1.45576 0.95374 -1.94334 0.03976 1.92301 -1.02287 -1.40008 1.73864 0.51123 0.00000 ... ... ..... ....... ......... ........... ............. E24u 2.00000 -0.66324 -1.56011 1.69797 0.43396 -1.98578 0.88309 1.40008 -1.81168 -0.19851 1.94334 -1.09039 -1.22015 1.89964 -0.03976 -1.87327 1.28219 1.02287 -1.96059 0.27747 1.77657 -1.45576 -0.81105 1.99368 -0.51123 -1.65461 1.60863 0.58770 -1.99842 0.73773 1.50913 -1.73864 -0.35600 1.97475 -0.95374 -1.34220 1.84393 0.11923 -1.92301 1.15618 0.00000 -2.00000 -1.15618 1.92301 -0.11923 -1.84393 1.34220 0.95374 -1.97475 0.35600 1.73864 -1.50913 -0.73773 1.99842 -0.58770 -1.60863 1.65461 0.51123 -1.99368 0.81105 1.45576 -1.77657 -0.27747 1.96059 -1.02287 -1.28219 1.87327 0.03976 -1.89964 1.22015 1.09039 -1.94334 0.19851 1.81168 -1.40008 -0.88309 1.98578 -0.43396 -1.69797 1.56011 0.66324 0.00000 ... ... ..... ....... ......... ........... ............. E25u 2.00000 -0.81105 -1.34220 1.89964 -0.19851 -1.73864 1.60863 0.43396 -1.96059 1.15618 1.02287 -1.98578 0.58770 1.50913 -1.81168 -0.03976 1.84393 -1.45576 -0.66324 1.99368 -0.95374 -1.22015 1.94334 -0.35600 -1.65461 1.69797 0.27747 -1.92301 1.28219 0.88309 -1.99842 0.73773 1.40008 -1.87327 0.11923 1.77657 -1.56011 -0.51123 1.97475 -1.09039 0.00000 -2.00000 1.09039 -1.97475 0.51123 1.56011 -1.77657 -0.11923 1.87327 -1.40008 -0.73773 1.99842 -0.88309 -1.28219 1.92301 -0.27747 -1.69797 1.65461 0.35600 -1.94334 1.22015 0.95374 -1.99368 0.66324 1.45576 -1.84393 0.03976 1.81168 -1.50913 -0.58770 1.98578 -1.02287 -1.15618 1.96059 -0.43396 -1.60863 1.73864 0.19851 -1.89964 1.34220 0.81105 0.00000 ... ... ..... ....... ......... ........... ............. E26u 2.00000 -0.95374 -1.09039 1.99368 -0.81105 -1.22015 1.97475 -0.66324 -1.34220 1.94334 -0.51123 -1.45576 1.89964 -0.35600 -1.56011 1.84393 -0.19851 -1.65461 1.77657 -0.03976 -1.73864 1.69797 0.11923 -1.81168 1.60863 0.27747 -1.87327 1.50913 0.43396 -1.92301 1.40008 0.58770 -1.96059 1.28219 0.73773 -1.98578 1.15618 0.88309 -1.99842 1.02287 0.00000 -2.00000 -1.02287 1.99842 -0.88309 -1.15618 1.98578 -0.73773 -1.28219 1.96059 -0.58770 -1.40008 1.92301 -0.43396 -1.50913 1.87327 -0.27747 -1.60863 1.81168 -0.11923 -1.69797 1.73864 0.03976 -1.77657 1.65461 0.19851 -1.84393 1.56011 0.35600 -1.89964 1.45576 0.51123 -1.94334 1.34220 0.66324 -1.97475 1.22015 0.81105 -1.99368 1.09039 0.95374 0.00000 ... ... ..... ....... ......... ........... ............. 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E28u 2.00000 -1.22015 -0.51123 1.84393 -1.73864 0.27747 1.40008 -1.98578 1.02287 0.73773 -1.92301 1.60863 -0.03976 -1.56011 1.94334 -0.81105 -0.95374 1.97475 -1.45576 -0.19851 1.69797 -1.87327 0.58770 1.15618 -1.99842 1.28219 0.43396 -1.81168 1.77657 -0.35600 -1.34220 1.99368 -1.09039 -0.66324 1.89964 -1.65461 0.11923 1.50913 -1.96059 0.88309 0.00000 -2.00000 -0.88309 1.96059 -1.50913 -0.11923 1.65461 -1.89964 0.66324 1.09039 -1.99368 1.34220 0.35600 -1.77657 1.81168 -0.43396 -1.28219 1.99842 -1.15618 -0.58770 1.87327 -1.69797 0.19851 1.45576 -1.97475 0.95374 0.81105 -1.94334 1.56011 0.03976 -1.60863 1.92301 -0.73773 -1.02287 1.98578 -1.40008 -0.27747 1.73864 -1.84393 0.51123 1.22015 0.00000 ... ... ..... ....... ......... ........... ............. E29u 2.00000 -1.34220 -0.19851 1.60863 -1.96059 1.02287 0.58770 -1.81168 1.84393 -0.66324 -0.95374 1.94334 -1.65461 0.27747 1.28219 -1.99842 1.40008 0.11923 -1.56011 1.97475 -1.09039 -0.51123 1.77657 -1.87327 0.73773 0.88309 -1.92301 1.69797 -0.35600 -1.22015 1.99368 -1.45576 -0.03976 1.50913 -1.98578 1.15618 0.43396 -1.73864 1.89964 -0.81105 0.00000 -2.00000 0.81105 -1.89964 1.73864 -0.43396 -1.15618 1.98578 -1.50913 0.03976 1.45576 -1.99368 1.22015 0.35600 -1.69797 1.92301 -0.88309 -0.73773 1.87327 -1.77657 0.51123 1.09039 -1.97475 1.56011 -0.11923 -1.40008 1.99842 -1.28219 -0.27747 1.65461 -1.94334 0.95374 0.66324 -1.84393 1.81168 -0.58770 -1.02287 1.96059 -1.60863 0.19851 1.34220 0.00000 ... ... ..... ....... ......... ........... ............. E30u 2.00000 -1.45576 0.11923 1.28219 -1.98578 1.60863 -0.35600 -1.09039 1.94334 -1.73864 0.58770 0.88309 -1.87327 1.84393 -0.81105 -0.66324 1.77657 -1.92301 1.02287 0.43396 -1.65461 1.97475 -1.22015 -0.19851 1.50913 -1.99842 1.40008 -0.03976 -1.34220 1.99368 -1.56011 0.27747 1.15618 -1.96059 1.69797 -0.51123 -0.95374 1.89964 -1.81168 0.73773 0.00000 -2.00000 -0.73773 1.81168 -1.89964 0.95374 0.51123 -1.69797 1.96059 -1.15618 -0.27747 1.56011 -1.99368 1.34220 0.03976 -1.40008 1.99842 -1.50913 0.19851 1.22015 -1.97475 1.65461 -0.43396 -1.02287 1.92301 -1.77657 0.66324 0.81105 -1.84393 1.87327 -0.88309 -0.58770 1.73864 -1.94334 1.09039 0.35600 -1.60863 1.98578 -1.28219 -0.11923 1.45576 0.00000 ... ... ..... ....... ......... ........... ............. E31u 2.00000 -1.56011 0.43396 0.88309 -1.81168 1.94334 -1.22015 -0.03976 1.28219 -1.96059 1.77657 -0.81105 -0.51123 1.60863 -1.99842 1.50913 -0.35600 -0.95374 1.84393 -1.92301 1.15618 0.11923 -1.34220 1.97475 -1.73864 0.73773 0.58770 -1.65461 1.99368 -1.45576 0.27747 1.02287 -1.87327 1.89964 -1.09039 -0.19851 1.40008 -1.98578 1.69797 -0.66324 0.00000 -2.00000 0.66324 -1.69797 1.98578 -1.40008 0.19851 1.09039 -1.89964 1.87327 -1.02287 -0.27747 1.45576 -1.99368 1.65461 -0.58770 -0.73773 1.73864 -1.97475 1.34220 -0.11923 -1.15618 1.92301 -1.84393 0.95374 0.35600 -1.50913 1.99842 -1.60863 0.51123 0.81105 -1.77657 1.96059 -1.28219 0.03976 1.22015 -1.94334 1.81168 -0.88309 -0.43396 1.56011 0.00000 ... ... ..... ....... ......... ........... ............. E32u 2.00000 -1.65461 0.73773 0.43396 -1.45576 1.97475 -1.81168 1.02287 0.11923 -1.22015 1.89964 -1.92301 1.28219 -0.19851 -0.95374 1.77657 -1.98578 1.50913 -0.51123 -0.66324 1.60863 -1.99842 1.69797 -0.81105 -0.35600 1.40008 -1.96059 1.84393 -1.09039 -0.03976 1.15618 -1.87327 1.94334 -1.34220 0.27747 0.88309 -1.73864 1.99368 -1.56011 0.58770 0.00000 -2.00000 -0.58770 1.56011 -1.99368 1.73864 -0.88309 -0.27747 1.34220 -1.94334 1.87327 -1.15618 0.03976 1.09039 -1.84393 1.96059 -1.40008 0.35600 0.81105 -1.69797 1.99842 -1.60863 0.66324 0.51123 -1.50913 1.98578 -1.77657 0.95374 0.19851 -1.28219 1.92301 -1.89964 1.22015 -0.11923 -1.02287 1.81168 -1.97475 1.45576 -0.43396 -0.73773 1.65461 0.00000 ... ... ..... ....... ......... ........... ............. E33u 2.00000 -1.73864 1.02287 -0.03976 -0.95374 1.69797 -1.99842 1.77657 -1.09039 0.11923 0.88309 -1.65461 1.99368 -1.81168 1.15618 -0.19851 -0.81105 1.60863 -1.98578 1.84393 -1.22015 0.27747 0.73773 -1.56011 1.97475 -1.87327 1.28219 -0.35600 -0.66324 1.50913 -1.96059 1.89964 -1.34220 0.43396 0.58770 -1.45576 1.94334 -1.92301 1.40008 -0.51123 0.00000 -2.00000 0.51123 -1.40008 1.92301 -1.94334 1.45576 -0.58770 -0.43396 1.34220 -1.89964 1.96059 -1.50913 0.66324 0.35600 -1.28219 1.87327 -1.97475 1.56011 -0.73773 -0.27747 1.22015 -1.84393 1.98578 -1.60863 0.81105 0.19851 -1.15618 1.81168 -1.99368 1.65461 -0.88309 -0.11923 1.09039 -1.77657 1.99842 -1.69797 0.95374 0.03976 -1.02287 1.73864 0.00000 ... ... ..... ....... ......... ........... ............. E34u 2.00000 -1.81168 1.28219 -0.51123 -0.35600 1.15618 -1.73864 1.99368 -1.87327 1.40008 -0.66324 -0.19851 1.02287 -1.65461 1.97475 -1.92301 1.50913 -0.81105 -0.03976 0.88309 -1.56011 1.94334 -1.96059 1.60863 -0.95374 0.11923 0.73773 -1.45576 1.89964 -1.98578 1.69797 -1.09039 0.27747 0.58770 -1.34220 1.84393 -1.99842 1.77657 -1.22015 0.43396 0.00000 -2.00000 -0.43396 1.22015 -1.77657 1.99842 -1.84393 1.34220 -0.58770 -0.27747 1.09039 -1.69797 1.98578 -1.89964 1.45576 -0.73773 -0.11923 0.95374 -1.60863 1.96059 -1.94334 1.56011 -0.88309 0.03976 0.81105 -1.50913 1.92301 -1.97475 1.65461 -1.02287 0.19851 0.66324 -1.40008 1.87327 -1.99368 1.73864 -1.15618 0.35600 0.51123 -1.28219 1.81168 0.00000 ... ... ..... ....... ......... ........... ............. E35u 2.00000 -1.87327 1.50913 -0.95374 0.27747 0.43396 -1.09039 1.60863 -1.92301 1.99368 -1.81168 1.40008 -0.81105 0.11923 0.58770 -1.22015 1.69797 -1.96059 1.97475 -1.73864 1.28219 -0.66324 -0.03976 0.73773 -1.34220 1.77657 -1.98578 1.94334 -1.65461 1.15618 -0.51123 -0.19851 0.88309 -1.45576 1.84393 -1.99842 1.89964 -1.56011 1.02287 -0.35600 0.00000 -2.00000 0.35600 -1.02287 1.56011 -1.89964 1.99842 -1.84393 1.45576 -0.88309 0.19851 0.51123 -1.15618 1.65461 -1.94334 1.98578 -1.77657 1.34220 -0.73773 0.03976 0.66324 -1.28219 1.73864 -1.97475 1.96059 -1.69797 1.22015 -0.58770 -0.11923 0.81105 -1.40008 1.81168 -1.99368 1.92301 -1.60863 1.09039 -0.43396 -0.27747 0.95374 -1.50913 1.87327 0.00000 ... ... ..... ....... ......... ........... ............. E36u 2.00000 -1.92301 1.69797 -1.34220 0.88309 -0.35600 -0.19851 0.73773 -1.22015 1.60863 -1.87327 1.99368 -1.96059 1.77657 -1.45576 1.02287 -0.51123 -0.03976 0.58770 -1.09039 1.50913 -1.81168 1.97475 -1.98578 1.84393 -1.56011 1.15618 -0.66324 0.11923 0.43396 -0.95374 1.40008 -1.73864 1.94334 -1.99842 1.89964 -1.65461 1.28219 -0.81105 0.27747 0.00000 -2.00000 -0.27747 0.81105 -1.28219 1.65461 -1.89964 1.99842 -1.94334 1.73864 -1.40008 0.95374 -0.43396 -0.11923 0.66324 -1.15618 1.56011 -1.84393 1.98578 -1.97475 1.81168 -1.50913 1.09039 -0.58770 0.03976 0.51123 -1.02287 1.45576 -1.77657 1.96059 -1.99368 1.87327 -1.60863 1.22015 -0.73773 0.19851 0.35600 -0.88309 1.34220 -1.69797 1.92301 0.00000 ... ... ..... ....... ......... ........... ............. E37u 2.00000 -1.96059 1.84393 -1.65461 1.40008 -1.09039 0.73773 -0.35600 -0.03976 0.43396 -0.81105 1.15618 -1.45576 1.69797 -1.87327 1.97475 -1.99842 1.94334 -1.81168 1.60863 -1.34220 1.02287 -0.66324 0.27747 0.11923 -0.51123 0.88309 -1.22015 1.50913 -1.73864 1.89964 -1.98578 1.99368 -1.92301 1.77657 -1.56011 1.28219 -0.95374 0.58770 -0.19851 0.00000 -2.00000 0.19851 -0.58770 0.95374 -1.28219 1.56011 -1.77657 1.92301 -1.99368 1.98578 -1.89964 1.73864 -1.50913 1.22015 -0.88309 0.51123 -0.11923 -0.27747 0.66324 -1.02287 1.34220 -1.60863 1.81168 -1.94334 1.99842 -1.97475 1.87327 -1.69797 1.45576 -1.15618 0.81105 -0.43396 0.03976 0.35600 -0.73773 1.09039 -1.40008 1.65461 -1.84393 1.96059 0.00000 ... ... ..... ....... ......... ........... ............. E38u 2.00000 -1.98578 1.94334 -1.87327 1.77657 -1.65461 1.50913 -1.34220 1.15618 -0.95374 0.73773 -0.51123 0.27747 -0.03976 -0.19851 0.43396 -0.66324 0.88309 -1.09039 1.28219 -1.45576 1.60863 -1.73864 1.84393 -1.92301 1.97475 -1.99842 1.99368 -1.96059 1.89964 -1.81168 1.69797 -1.56011 1.40008 -1.22015 1.02287 -0.81105 0.58770 -0.35600 0.11923 0.00000 -2.00000 -0.11923 0.35600 -0.58770 0.81105 -1.02287 1.22015 -1.40008 1.56011 -1.69797 1.81168 -1.89964 1.96059 -1.99368 1.99842 -1.97475 1.92301 -1.84393 1.73864 -1.60863 1.45576 -1.28219 1.09039 -0.88309 0.66324 -0.43396 0.19851 0.03976 -0.27747 0.51123 -0.73773 0.95374 -1.15618 1.34220 -1.50913 1.65461 -1.77657 1.87327 -1.94334 1.98578 0.00000 ... ... ..... ....... ......... ........... ............. E39u 2.00000 -1.99842 1.99368 -1.98578 1.97475 -1.96059 1.94334 -1.92301 1.89964 -1.87327 1.84393 -1.81168 1.77657 -1.73864 1.69797 -1.65461 1.60863 -1.56011 1.50913 -1.45576 1.40008 -1.34220 1.28219 -1.22015 1.15618 -1.09039 1.02287 -0.95374 0.88309 -0.81105 0.73773 -0.66324 0.58770 -0.51123 0.43396 -0.35600 0.27747 -0.19851 0.11923 -0.03976 0.00000 -2.00000 0.03976 -0.11923 0.19851 -0.27747 0.35600 -0.43396 0.51123 -0.58770 0.66324 -0.73773 0.81105 -0.88309 0.95374 -1.02287 1.09039 -1.15618 1.22015 -1.28219 1.34220 -1.40008 1.45576 -1.50913 1.56011 -1.60863 1.65461 -1.69797 1.73864 -1.77657 1.81168 -1.84393 1.87327 -1.89964 1.92301 -1.94334 1.96059 -1.97475 1.98578 -1.99368 1.99842 0.00000 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.998418794455 = 2*cos(2*π/158) = 2*cos(π/79) 1.993677678029 = 2*cos(4*π/158) = 2*cos(2*π/79) 1.985784147404 = 2*cos(6*π/158) = 2*cos(3*π/79) 1.974750683873 = 2*cos(8*π/158) = 2*cos(4*π/79) 1.960594733609 = 2*cos(10*π/158) = 2*cos(5*π/79) 1.943338680081 = 2*cos(12*π/158) = 2*cos(6*π/79) 1.923009808655 = 2*cos(14*π/158) = 2*cos(7*π/79) 1.899640263456 = 2*cos(16*π/158) = 2*cos(8*π/79) 1.873266996537 = 2*cos(18*π/158) = 2*cos(9*π/79) 1.843931709456 = 2*cos(20*π/158) = 2*cos(10*π/79) 1.811680787331 = 2*cos(22*π/158) = 2*cos(11*π/79) 1.776565225498 = 2*cos(24*π/158) = 2*cos(12*π/79) 1.738640548879 = 2*cos(26*π/158) = 2*cos(13*π/79) 1.697966724183 = 2*cos(28*π/158) = 2*cos(14*π/79) 1.654608065086 = 2*cos(30*π/158) = 2*cos(15*π/79) 1.608633130542 = 2*cos(32*π/158) = 2*cos(16*π/79) 1.560114616370 = 2*cos(34*π/158) = 2*cos(17*π/79) 1.509129240316 = 2*cos(36*π/158) = 2*cos(18*π/79) 1.455757620739 = 2*cos(38*π/158) = 2*cos(19*π/79) 1.400084149139 = 2*cos(40*π/158) = 2*cos(20*π/79) 1.342196856718 = 2*cos(42*π/158) = 2*cos(21*π/79) 1.282187275184 = 2*cos(44*π/158) = 2*cos(22*π/79) 1.220150292021 = 2*cos(46*π/158) = 2*cos(23*π/79) 1.156184000450 = 2*cos(48*π/158) = 2*cos(24*π/79) 1.090389544325 = 2*cos(50*π/158) = 2*cos(25*π/79) 1.022870958207 = 2*cos(52*π/158) = 2*cos(26*π/79) 0.953735002857 = 2*cos(54*π/158) = 2*cos(27*π/79) 0.883090996432 = 2*cos(56*π/158) = 2*cos(28*π/79) 0.811050641626 = 2*cos(58*π/158) = 2*cos(29*π/79) 0.737727849048 = 2*cos(60*π/158) = 2*cos(30*π/79) 0.663238557104 = 2*cos(62*π/158) = 2*cos(31*π/79) 0.587700548676 = 2*cos(64*π/158) = 2*cos(32*π/79) 0.511233264881 = 2*cos(66*π/158) = 2*cos(33*π/79) 0.433957616213 = 2*cos(68*π/158) = 2*cos(34*π/79) 0.355995791355 = 2*cos(70*π/158) = 2*cos(35*π/79) 0.277471063978 = 2*cos(72*π/158) = 2*cos(36*π/79) 0.198507597816 = 2*cos(74*π/158) = 2*cos(37*π/79) 0.119230250340 = 2*cos(76*π/158) = 2*cos(38*π/79) 0.039764375330 = 2*cos(78*π/158) = 2*cos(39*π/79) 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_79d point group is 316, and the order of the principal axis (S₁₅₈) is 158. The group has 82 irreducible representations. β The D_79d point group is isomorphic to D_79h, C_158v and D₁₅₈. γ The D_79d point group is generated by two symmetry elements, S₁₅₈ and either a perpendicular C₂^′ or a vertical σ_d. Also, the group may be generated from any C₂^′ plus any σ_d plane. The canonical choice, however, is to use redundant generators: C₇₉, 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_79d 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 just 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_79d point group was created by Gernot Katzer.

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

	D_77d
	D_78d
C₇₉ C_79v C_79h D₇₉ D_79h	D_79d
	D_80d
	D_81d

Character table for the D79d point group

Character table for the D_79d point group