Character table for the D61h point group

D61h     E        2 C61    2 C61^2  2 C61^3  2 C61^4  2 C61^5  2 C61^6  2 C61^7  2 C61^8  2 C61^9  2 C61^10 2 C61^11 2 C61^12 2 C61^13 2 C61^14 2 C61^15 2 C61^16 2 C61^17 2 C61^18 2 C61^19 2 C61^20 2 C61^21 2 C61^22 2 C61^23 2 C61^24 2 C61^25 2 C61^26 2 C61^27 2 C61^28 2 C61^29 2 C61^30 61 C2'   sh       2 S61    2 S61^3  2 S61^5  2 S61^7  2 S61^9  2 S61^11 2 S61^13 2 S61^15 2 S61^17 2 S61^19 2 S61^21 2 S61^23 2 S61^25 2 S61^27 2 S61^29 2 S61^31 2 S61^33 2 S61^35 2 S61^37 2 S61^39 2 S61^41 2 S61^43 2 S61^45 2 S61^47 2 S61^49 2 S61^51 2 S61^53 2 S61^55 2 S61^57 2 S61^59 61 sv      <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> 
A1'     1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  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
A1"     1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000     ... ... ..... ....... ......... ........... .............
A2'     1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000 -1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  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 ... ..... ....... ......... ........... .............
A2"     1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000  1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -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 .............
E1'     2.00000  1.98940  1.95771  1.90527  1.83263  1.74057  1.63006  1.50226  1.35855  1.20043  1.02959  0.84783  0.65708  0.45938  0.25680  0.05150 -0.15435 -0.35856 -0.55897 -0.75346 -0.93995 -1.11649 -1.28119 -1.43230 -1.56824 -1.68755 -1.78897 -1.87143 -1.93406 -1.97618 -1.99735  0.00000  2.00000  1.98940  1.90527  1.74057  1.50226  1.20043  0.84783  0.45938  0.05150 -0.35856 -0.75346 -1.11649 -1.43230 -1.68755 -1.87143 -1.97618 -1.99735 -1.93406 -1.78897 -1.56824 -1.28119 -0.93995 -0.55897 -0.15435  0.25680  0.65708  1.02959  1.35855  1.63006  1.83263  1.95771  0.00000     ... TT. ..... ....TT. ......... ........TT. .............
E1"     2.00000  1.98940  1.95771  1.90527  1.83263  1.74057  1.63006  1.50226  1.35855  1.20043  1.02959  0.84783  0.65708  0.45938  0.25680  0.05150 -0.15435 -0.35856 -0.55897 -0.75346 -0.93995 -1.11649 -1.28119 -1.43230 -1.56824 -1.68755 -1.78897 -1.87143 -1.93406 -1.97618 -1.99735  0.00000 -2.00000 -1.98940 -1.90527 -1.74057 -1.50226 -1.20043 -0.84783 -0.45938 -0.05150  0.35856  0.75346  1.11649  1.43230  1.68755  1.87143  1.97618  1.99735  1.93406  1.78897  1.56824  1.28119  0.93995  0.55897  0.15435 -0.25680 -0.65708 -1.02959 -1.35855 -1.63006 -1.83263 -1.95771  0.00000     TT. ... ..TT. ....... ......TT. ........... ..........TT.
E2'     2.00000  1.95771  1.83263  1.63006  1.35855  1.02959  0.65708  0.25680 -0.15435 -0.55897 -0.93995 -1.28119 -1.56824 -1.78897 -1.93406 -1.99735 -1.97618 -1.87143 -1.68755 -1.43230 -1.11649 -0.75346 -0.35856  0.05150  0.45938  0.84783  1.20043  1.50226  1.74057  1.90527  1.98940  0.00000  2.00000  1.95771  1.63006  1.02959  0.25680 -0.55897 -1.28119 -1.78897 -1.99735 -1.87143 -1.43230 -0.75346  0.05150  0.84783  1.50226  1.90527  1.98940  1.74057  1.20043  0.45938 -0.35856 -1.11649 -1.68755 -1.97618 -1.93406 -1.56824 -0.93995 -0.15435  0.65708  1.35855  1.83263  0.00000     ... ... TT... ....... ....TT... ........... ........TT...
E2"     2.00000  1.95771  1.83263  1.63006  1.35855  1.02959  0.65708  0.25680 -0.15435 -0.55897 -0.93995 -1.28119 -1.56824 -1.78897 -1.93406 -1.99735 -1.97618 -1.87143 -1.68755 -1.43230 -1.11649 -0.75346 -0.35856  0.05150  0.45938  0.84783  1.20043  1.50226  1.74057  1.90527  1.98940  0.00000 -2.00000 -1.95771 -1.63006 -1.02959 -0.25680  0.55897  1.28119  1.78897  1.99735  1.87143  1.43230  0.75346 -0.05150 -0.84783 -1.50226 -1.90527 -1.98940 -1.74057 -1.20043 -0.45938  0.35856  1.11649  1.68755  1.97618  1.93406  1.56824  0.93995  0.15435 -0.65708 -1.35855 -1.83263  0.00000     ... ... ..... ..TT... ......... ......TT... .............
E3'     2.00000  1.90527  1.63006  1.20043  0.65708  0.05150 -0.55897 -1.11649 -1.56824 -1.87143 -1.99735 -1.93406 -1.68755 -1.28119 -0.75346 -0.15435  0.45938  1.02959  1.50226  1.83263  1.98940  1.95771  1.74057  1.35855  0.84783  0.25680 -0.35856 -0.93995 -1.43230 -1.78897 -1.97618  0.00000  2.00000  1.90527  1.20043  0.05150 -1.11649 -1.87143 -1.93406 -1.28119 -0.15435  1.02959  1.83263  1.95771  1.35855  0.25680 -0.93995 -1.78897 -1.97618 -1.43230 -0.35856  0.84783  1.74057  1.98940  1.50226  0.45938 -0.75346 -1.68755 -1.99735 -1.56824 -0.55897  0.65708  1.63006  0.00000     ... ... ..... TT..... ......... ....TT..... .............
E3"     2.00000  1.90527  1.63006  1.20043  0.65708  0.05150 -0.55897 -1.11649 -1.56824 -1.87143 -1.99735 -1.93406 -1.68755 -1.28119 -0.75346 -0.15435  0.45938  1.02959  1.50226  1.83263  1.98940  1.95771  1.74057  1.35855  0.84783  0.25680 -0.35856 -0.93995 -1.43230 -1.78897 -1.97618  0.00000 -2.00000 -1.90527 -1.20043 -0.05150  1.11649  1.87143  1.93406  1.28119  0.15435 -1.02959 -1.83263 -1.95771 -1.35855 -0.25680  0.93995  1.78897  1.97618  1.43230  0.35856 -0.84783 -1.74057 -1.98940 -1.50226 -0.45938  0.75346  1.68755  1.99735  1.56824  0.55897 -0.65708 -1.63006  0.00000     ... ... ..... ....... ..TT..... ........... ......TT.....
E4'     2.00000  1.83263  1.35855  0.65708 -0.15435 -0.93995 -1.56824 -1.93406 -1.97618 -1.68755 -1.11649 -0.35856  0.45938  1.20043  1.74057  1.98940  1.90527  1.50226  0.84783  0.05150 -0.75346 -1.43230 -1.87143 -1.99735 -1.78897 -1.28119 -0.55897  0.25680  1.02959  1.63006  1.95771  0.00000  2.00000  1.83263  0.65708 -0.93995 -1.93406 -1.68755 -0.35856  1.20043  1.98940  1.50226  0.05150 -1.43230 -1.99735 -1.28119  0.25680  1.63006  1.95771  1.02959 -0.55897 -1.78897 -1.87143 -0.75346  0.84783  1.90527  1.74057  0.45938 -1.11649 -1.97618 -1.56824 -0.15435  1.35855  0.00000     ... ... ..... ....... TT....... ........... ....TT.......
E4"     2.00000  1.83263  1.35855  0.65708 -0.15435 -0.93995 -1.56824 -1.93406 -1.97618 -1.68755 -1.11649 -0.35856  0.45938  1.20043  1.74057  1.98940  1.90527  1.50226  0.84783  0.05150 -0.75346 -1.43230 -1.87143 -1.99735 -1.78897 -1.28119 -0.55897  0.25680  1.02959  1.63006  1.95771  0.00000 -2.00000 -1.83263 -0.65708  0.93995  1.93406  1.68755  0.35856 -1.20043 -1.98940 -1.50226 -0.05150  1.43230  1.99735  1.28119 -0.25680 -1.63006 -1.95771 -1.02959  0.55897  1.78897  1.87143  0.75346 -0.84783 -1.90527 -1.74057 -0.45938  1.11649  1.97618  1.56824  0.15435 -1.35855  0.00000     ... ... ..... ....... ......... ..TT....... .............
E5'     2.00000  1.74057  1.02959  0.05150 -0.93995 -1.68755 -1.99735 -1.78897 -1.11649 -0.15435  0.84783  1.63006  1.98940  1.83263  1.20043  0.25680 -0.75346 -1.56824 -1.97618 -1.87143 -1.28119 -0.35856  0.65708  1.50226  1.95771  1.90527  1.35855  0.45938 -0.55897 -1.43230 -1.93406  0.00000  2.00000  1.74057  0.05150 -1.68755 -1.78897 -0.15435  1.63006  1.83263  0.25680 -1.56824 -1.87143 -0.35856  1.50226  1.90527  0.45938 -1.43230 -1.93406 -0.55897  1.35855  1.95771  0.65708 -1.28119 -1.97618 -0.75346  1.20043  1.98940  0.84783 -1.11649 -1.99735 -0.93995  1.02959  0.00000     ... ... ..... ....... ......... TT......... .............
E5"     2.00000  1.74057  1.02959  0.05150 -0.93995 -1.68755 -1.99735 -1.78897 -1.11649 -0.15435  0.84783  1.63006  1.98940  1.83263  1.20043  0.25680 -0.75346 -1.56824 -1.97618 -1.87143 -1.28119 -0.35856  0.65708  1.50226  1.95771  1.90527  1.35855  0.45938 -0.55897 -1.43230 -1.93406  0.00000 -2.00000 -1.74057 -0.05150  1.68755  1.78897  0.15435 -1.63006 -1.83263 -0.25680  1.56824  1.87143  0.35856 -1.50226 -1.90527 -0.45938  1.43230  1.93406  0.55897 -1.35855 -1.95771 -0.65708  1.28119  1.97618  0.75346 -1.20043 -1.98940 -0.84783  1.11649  1.99735  0.93995 -1.02959  0.00000     ... ... ..... ....... ......... ........... ..TT.........
E6'     2.00000  1.63006  0.65708 -0.55897 -1.56824 -1.99735 -1.68755 -0.75346  0.45938  1.50226  1.98940  1.74057  0.84783 -0.35856 -1.43230 -1.97618 -1.78897 -0.93995  0.25680  1.35855  1.95771  1.83263  1.02959 -0.15435 -1.28119 -1.93406 -1.87143 -1.11649  0.05150  1.20043  1.90527  0.00000  2.00000  1.63006 -0.55897 -1.99735 -0.75346  1.50226  1.74057 -0.35856 -1.97618 -0.93995  1.35855  1.83263 -0.15435 -1.93406 -1.11649  1.20043  1.90527  0.05150 -1.87143 -1.28119  1.02959  1.95771  0.25680 -1.78897 -1.43230  0.84783  1.98940  0.45938 -1.68755 -1.56824  0.65708  0.00000     ... ... ..... ....... ......... ........... TT...........
E6"     2.00000  1.63006  0.65708 -0.55897 -1.56824 -1.99735 -1.68755 -0.75346  0.45938  1.50226  1.98940  1.74057  0.84783 -0.35856 -1.43230 -1.97618 -1.78897 -0.93995  0.25680  1.35855  1.95771  1.83263  1.02959 -0.15435 -1.28119 -1.93406 -1.87143 -1.11649  0.05150  1.20043  1.90527  0.00000 -2.00000 -1.63006  0.55897  1.99735  0.75346 -1.50226 -1.74057  0.35856  1.97618  0.93995 -1.35855 -1.83263  0.15435  1.93406  1.11649 -1.20043 -1.90527 -0.05150  1.87143  1.28119 -1.02959 -1.95771 -0.25680  1.78897  1.43230 -0.84783 -1.98940 -0.45938  1.68755  1.56824 -0.65708  0.00000     ... ... ..... ....... ......... ........... .............
E7'     2.00000  1.50226  0.25680 -1.11649 -1.93406 -1.78897 -0.75346  0.65708  1.74057  1.95771  1.20043 -0.15435 -1.43230 -1.99735 -1.56824 -0.35856  1.02959  1.90527  1.83263  0.84783 -0.55897 -1.68755 -1.97618 -1.28119  0.05150  1.35855  1.98940  1.63006  0.45938 -0.93995 -1.87143  0.00000  2.00000  1.50226 -1.11649 -1.78897  0.65708  1.95771 -0.15435 -1.99735 -0.35856  1.90527  0.84783 -1.68755 -1.28119  1.35855  1.63006 -0.93995 -1.87143  0.45938  1.98940  0.05150 -1.97618 -0.55897  1.83263  1.02959 -1.56824 -1.43230  1.20043  1.74057 -0.75346 -1.93406  0.25680  0.00000     ... ... ..... ....... ......... ........... .............
E7"     2.00000  1.50226  0.25680 -1.11649 -1.93406 -1.78897 -0.75346  0.65708  1.74057  1.95771  1.20043 -0.15435 -1.43230 -1.99735 -1.56824 -0.35856  1.02959  1.90527  1.83263  0.84783 -0.55897 -1.68755 -1.97618 -1.28119  0.05150  1.35855  1.98940  1.63006  0.45938 -0.93995 -1.87143  0.00000 -2.00000 -1.50226  1.11649  1.78897 -0.65708 -1.95771  0.15435  1.99735  0.35856 -1.90527 -0.84783  1.68755  1.28119 -1.35855 -1.63006  0.93995  1.87143 -0.45938 -1.98940 -0.05150  1.97618  0.55897 -1.83263 -1.02959  1.56824  1.43230 -1.20043 -1.74057  0.75346  1.93406 -0.25680  0.00000     ... ... ..... ....... ......... ........... .............
E8'     2.00000  1.35855 -0.15435 -1.56824 -1.97618 -1.11649  0.45938  1.74057  1.90527  0.84783 -0.75346 -1.87143 -1.78897 -0.55897  1.02959  1.95771  1.63006  0.25680 -1.28119 -1.99735 -1.43230  0.05150  1.50226  1.98940  1.20043 -0.35856 -1.68755 -1.93406 -0.93995  0.65708  1.83263  0.00000  2.00000  1.35855 -1.56824 -1.11649  1.74057  0.84783 -1.87143 -0.55897  1.95771  0.25680 -1.99735  0.05150  1.98940 -0.35856 -1.93406  0.65708  1.83263 -0.93995 -1.68755  1.20043  1.50226 -1.43230 -1.28119  1.63006  1.02959 -1.78897 -0.75346  1.90527  0.45938 -1.97618 -0.15435  0.00000     ... ... ..... ....... ......... ........... .............
E8"     2.00000  1.35855 -0.15435 -1.56824 -1.97618 -1.11649  0.45938  1.74057  1.90527  0.84783 -0.75346 -1.87143 -1.78897 -0.55897  1.02959  1.95771  1.63006  0.25680 -1.28119 -1.99735 -1.43230  0.05150  1.50226  1.98940  1.20043 -0.35856 -1.68755 -1.93406 -0.93995  0.65708  1.83263  0.00000 -2.00000 -1.35855  1.56824  1.11649 -1.74057 -0.84783  1.87143  0.55897 -1.95771 -0.25680  1.99735 -0.05150 -1.98940  0.35856  1.93406 -0.65708 -1.83263  0.93995  1.68755 -1.20043 -1.50226  1.43230  1.28119 -1.63006 -1.02959  1.78897  0.75346 -1.90527 -0.45938  1.97618  0.15435  0.00000     ... ... ..... ....... ......... ........... .............
E9'     2.00000  1.20043 -0.55897 -1.87143 -1.68755 -0.15435  1.50226  1.95771  0.84783 -0.93995 -1.97618 -1.43230  0.25680  1.74057  1.83263  0.45938 -1.28119 -1.99735 -1.11649  0.65708  1.90527  1.63006  0.05150 -1.56824 -1.93406 -0.75346  1.02959  1.98940  1.35855 -0.35856 -1.78897  0.00000  2.00000  1.20043 -1.87143 -0.15435  1.95771 -0.93995 -1.43230  1.74057  0.45938 -1.99735  0.65708  1.63006 -1.56824 -0.75346  1.98940 -0.35856 -1.78897  1.35855  1.02959 -1.93406  0.05150  1.90527 -1.11649 -1.28119  1.83263  0.25680 -1.97618  0.84783  1.50226 -1.68755 -0.55897  0.00000     ... ... ..... ....... ......... ........... .............
E9"     2.00000  1.20043 -0.55897 -1.87143 -1.68755 -0.15435  1.50226  1.95771  0.84783 -0.93995 -1.97618 -1.43230  0.25680  1.74057  1.83263  0.45938 -1.28119 -1.99735 -1.11649  0.65708  1.90527  1.63006  0.05150 -1.56824 -1.93406 -0.75346  1.02959  1.98940  1.35855 -0.35856 -1.78897  0.00000 -2.00000 -1.20043  1.87143  0.15435 -1.95771  0.93995  1.43230 -1.74057 -0.45938  1.99735 -0.65708 -1.63006  1.56824  0.75346 -1.98940  0.35856  1.78897 -1.35855 -1.02959  1.93406 -0.05150 -1.90527  1.11649  1.28119 -1.83263 -0.25680  1.97618 -0.84783 -1.50226  1.68755  0.55897  0.00000     ... ... ..... ....... ......... ........... .............
E10'    2.00000  1.02959 -0.93995 -1.99735 -1.11649  0.84783  1.98940  1.20043 -0.75346 -1.97618 -1.28119  0.65708  1.95771  1.35855 -0.55897 -1.93406 -1.43230  0.45938  1.90527  1.50226 -0.35856 -1.87143 -1.56824  0.25680  1.83263  1.63006 -0.15435 -1.78897 -1.68755  0.05150  1.74057  0.00000  2.00000  1.02959 -1.99735  0.84783  1.20043 -1.97618  0.65708  1.35855 -1.93406  0.45938  1.50226 -1.87143  0.25680  1.63006 -1.78897  0.05150  1.74057 -1.68755 -0.15435  1.83263 -1.56824 -0.35856  1.90527 -1.43230 -0.55897  1.95771 -1.28119 -0.75346  1.98940 -1.11649 -0.93995  0.00000     ... ... ..... ....... ......... ........... .............
E10"    2.00000  1.02959 -0.93995 -1.99735 -1.11649  0.84783  1.98940  1.20043 -0.75346 -1.97618 -1.28119  0.65708  1.95771  1.35855 -0.55897 -1.93406 -1.43230  0.45938  1.90527  1.50226 -0.35856 -1.87143 -1.56824  0.25680  1.83263  1.63006 -0.15435 -1.78897 -1.68755  0.05150  1.74057  0.00000 -2.00000 -1.02959  1.99735 -0.84783 -1.20043  1.97618 -0.65708 -1.35855  1.93406 -0.45938 -1.50226  1.87143 -0.25680 -1.63006  1.78897 -0.05150 -1.74057  1.68755  0.15435 -1.83263  1.56824  0.35856 -1.90527  1.43230  0.55897 -1.95771  1.28119  0.75346 -1.98940  1.11649  0.93995  0.00000     ... ... ..... ....... ......... ........... .............
E11'    2.00000  0.84783 -1.28119 -1.93406 -0.35856  1.63006  1.74057 -0.15435 -1.87143 -1.43230  0.65708  1.98940  1.02959 -1.11649 -1.97618 -0.55897  1.50226  1.83263  0.05150 -1.78897 -1.56824  0.45938  1.95771  1.20043 -0.93995 -1.99735 -0.75346  1.35855  1.90527  0.25680 -1.68755  0.00000  2.00000  0.84783 -1.93406  1.63006 -0.15435 -1.43230  1.98940 -1.11649 -0.55897  1.83263 -1.78897  0.45938  1.20043 -1.99735  1.35855  0.25680 -1.68755  1.90527 -0.75346 -0.93995  1.95771 -1.56824  0.05150  1.50226 -1.97618  1.02959  0.65708 -1.87143  1.74057 -0.35856 -1.28119  0.00000     ... ... ..... ....... ......... ........... .............
E11"    2.00000  0.84783 -1.28119 -1.93406 -0.35856  1.63006  1.74057 -0.15435 -1.87143 -1.43230  0.65708  1.98940  1.02959 -1.11649 -1.97618 -0.55897  1.50226  1.83263  0.05150 -1.78897 -1.56824  0.45938  1.95771  1.20043 -0.93995 -1.99735 -0.75346  1.35855  1.90527  0.25680 -1.68755  0.00000 -2.00000 -0.84783  1.93406 -1.63006  0.15435  1.43230 -1.98940  1.11649  0.55897 -1.83263  1.78897 -0.45938 -1.20043  1.99735 -1.35855 -0.25680  1.68755 -1.90527  0.75346  0.93995 -1.95771  1.56824 -0.05150 -1.50226  1.97618 -1.02959 -0.65708  1.87143 -1.74057  0.35856  1.28119  0.00000     ... ... ..... ....... ......... ........... .............
E12'    2.00000  0.65708 -1.56824 -1.68755  0.45938  1.98940  0.84783 -1.43230 -1.78897  0.25680  1.95771  1.02959 -1.28119 -1.87143  0.05150  1.90527  1.20043 -1.11649 -1.93406 -0.15435  1.83263  1.35855 -0.93995 -1.97618 -0.35856  1.74057  1.50226 -0.75346 -1.99735 -0.55897  1.63006  0.00000  2.00000  0.65708 -1.68755  1.98940 -1.43230  0.25680  1.02959 -1.87143  1.90527 -1.11649 -0.15435  1.35855 -1.97618  1.74057 -0.75346 -0.55897  1.63006 -1.99735  1.50226 -0.35856 -0.93995  1.83263 -1.93406  1.20043  0.05150 -1.28119  1.95771 -1.78897  0.84783  0.45938 -1.56824  0.00000     ... ... ..... ....... ......... ........... .............
E12"    2.00000  0.65708 -1.56824 -1.68755  0.45938  1.98940  0.84783 -1.43230 -1.78897  0.25680  1.95771  1.02959 -1.28119 -1.87143  0.05150  1.90527  1.20043 -1.11649 -1.93406 -0.15435  1.83263  1.35855 -0.93995 -1.97618 -0.35856  1.74057  1.50226 -0.75346 -1.99735 -0.55897  1.63006  0.00000 -2.00000 -0.65708  1.68755 -1.98940  1.43230 -0.25680 -1.02959  1.87143 -1.90527  1.11649  0.15435 -1.35855  1.97618 -1.74057  0.75346  0.55897 -1.63006  1.99735 -1.50226  0.35856  0.93995 -1.83263  1.93406 -1.20043 -0.05150  1.28119 -1.95771  1.78897 -0.84783 -0.45938  1.56824  0.00000     ... ... ..... ....... ......... ........... .............
E13'    2.00000  0.45938 -1.78897 -1.28119  1.20043  1.83263 -0.35856 -1.99735 -0.55897  1.74057  1.35855 -1.11649 -1.87143  0.25680  1.98940  0.65708 -1.68755 -1.43230  1.02959  1.90527 -0.15435 -1.97618 -0.75346  1.63006  1.50226 -0.93995 -1.93406  0.05150  1.95771  0.84783 -1.56824  0.00000  2.00000  0.45938 -1.28119  1.83263 -1.99735  1.74057 -1.11649  0.25680  0.65708 -1.43230  1.90527 -1.97618  1.63006 -0.93995  0.05150  0.84783 -1.56824  1.95771 -1.93406  1.50226 -0.75346 -0.15435  1.02959 -1.68755  1.98940 -1.87143  1.35855 -0.55897 -0.35856  1.20043 -1.78897  0.00000     ... ... ..... ....... ......... ........... .............
E13"    2.00000  0.45938 -1.78897 -1.28119  1.20043  1.83263 -0.35856 -1.99735 -0.55897  1.74057  1.35855 -1.11649 -1.87143  0.25680  1.98940  0.65708 -1.68755 -1.43230  1.02959  1.90527 -0.15435 -1.97618 -0.75346  1.63006  1.50226 -0.93995 -1.93406  0.05150  1.95771  0.84783 -1.56824  0.00000 -2.00000 -0.45938  1.28119 -1.83263  1.99735 -1.74057  1.11649 -0.25680 -0.65708  1.43230 -1.90527  1.97618 -1.63006  0.93995 -0.05150 -0.84783  1.56824 -1.95771  1.93406 -1.50226  0.75346  0.15435 -1.02959  1.68755 -1.98940  1.87143 -1.35855  0.55897  0.35856 -1.20043  1.78897  0.00000     ... ... ..... ....... ......... ........... .............
E14'    2.00000  0.25680 -1.93406 -0.75346  1.74057  1.20043 -1.43230 -1.56824  1.02959  1.83263 -0.55897 -1.97618  0.05150  1.98940  0.45938 -1.87143 -0.93995  1.63006  1.35855 -1.28119 -1.68755  0.84783  1.90527 -0.35856 -1.99735 -0.15435  1.95771  0.65708 -1.78897 -1.11649  1.50226  0.00000  2.00000  0.25680 -0.75346  1.20043 -1.56824  1.83263 -1.97618  1.98940 -1.87143  1.63006 -1.28119  0.84783 -0.35856 -0.15435  0.65708 -1.11649  1.50226 -1.78897  1.95771 -1.99735  1.90527 -1.68755  1.35855 -0.93995  0.45938  0.05150 -0.55897  1.02959 -1.43230  1.74057 -1.93406  0.00000     ... ... ..... ....... ......... ........... .............
E14"    2.00000  0.25680 -1.93406 -0.75346  1.74057  1.20043 -1.43230 -1.56824  1.02959  1.83263 -0.55897 -1.97618  0.05150  1.98940  0.45938 -1.87143 -0.93995  1.63006  1.35855 -1.28119 -1.68755  0.84783  1.90527 -0.35856 -1.99735 -0.15435  1.95771  0.65708 -1.78897 -1.11649  1.50226  0.00000 -2.00000 -0.25680  0.75346 -1.20043  1.56824 -1.83263  1.97618 -1.98940  1.87143 -1.63006  1.28119 -0.84783  0.35856  0.15435 -0.65708  1.11649 -1.50226  1.78897 -1.95771  1.99735 -1.90527  1.68755 -1.35855  0.93995 -0.45938 -0.05150  0.55897 -1.02959  1.43230 -1.74057  1.93406  0.00000     ... ... ..... ....... ......... ........... .............
E15'    2.00000  0.05150 -1.99735 -0.15435  1.98940  0.25680 -1.97618 -0.35856  1.95771  0.45938 -1.93406 -0.55897  1.90527  0.65708 -1.87143 -0.75346  1.83263  0.84783 -1.78897 -0.93995  1.74057  1.02959 -1.68755 -1.11649  1.63006  1.20043 -1.56824 -1.28119  1.50226  1.35855 -1.43230  0.00000  2.00000  0.05150 -0.15435  0.25680 -0.35856  0.45938 -0.55897  0.65708 -0.75346  0.84783 -0.93995  1.02959 -1.11649  1.20043 -1.28119  1.35855 -1.43230  1.50226 -1.56824  1.63006 -1.68755  1.74057 -1.78897  1.83263 -1.87143  1.90527 -1.93406  1.95771 -1.97618  1.98940 -1.99735  0.00000     ... ... ..... ....... ......... ........... .............
E15"    2.00000  0.05150 -1.99735 -0.15435  1.98940  0.25680 -1.97618 -0.35856  1.95771  0.45938 -1.93406 -0.55897  1.90527  0.65708 -1.87143 -0.75346  1.83263  0.84783 -1.78897 -0.93995  1.74057  1.02959 -1.68755 -1.11649  1.63006  1.20043 -1.56824 -1.28119  1.50226  1.35855 -1.43230  0.00000 -2.00000 -0.05150  0.15435 -0.25680  0.35856 -0.45938  0.55897 -0.65708  0.75346 -0.84783  0.93995 -1.02959  1.11649 -1.20043  1.28119 -1.35855  1.43230 -1.50226  1.56824 -1.63006  1.68755 -1.74057  1.78897 -1.83263  1.87143 -1.90527  1.93406 -1.95771  1.97618 -1.98940  1.99735  0.00000     ... ... ..... ....... ......... ........... .............
E16'    2.00000 -0.15435 -1.97618  0.45938  1.90527 -0.75346 -1.78897  1.02959  1.63006 -1.28119 -1.43230  1.50226  1.20043 -1.68755 -0.93995  1.83263  0.65708 -1.93406 -0.35856  1.98940  0.05150 -1.99735  0.25680  1.95771 -0.55897 -1.87143  0.84783  1.74057 -1.11649 -1.56824  1.35855  0.00000  2.00000 -0.15435  0.45938 -0.75346  1.02959 -1.28119  1.50226 -1.68755  1.83263 -1.93406  1.98940 -1.99735  1.95771 -1.87143  1.74057 -1.56824  1.35855 -1.11649  0.84783 -0.55897  0.25680  0.05150 -0.35856  0.65708 -0.93995  1.20043 -1.43230  1.63006 -1.78897  1.90527 -1.97618  0.00000     ... ... ..... ....... ......... ........... .............
E16"    2.00000 -0.15435 -1.97618  0.45938  1.90527 -0.75346 -1.78897  1.02959  1.63006 -1.28119 -1.43230  1.50226  1.20043 -1.68755 -0.93995  1.83263  0.65708 -1.93406 -0.35856  1.98940  0.05150 -1.99735  0.25680  1.95771 -0.55897 -1.87143  0.84783  1.74057 -1.11649 -1.56824  1.35855  0.00000 -2.00000  0.15435 -0.45938  0.75346 -1.02959  1.28119 -1.50226  1.68755 -1.83263  1.93406 -1.98940  1.99735 -1.95771  1.87143 -1.74057  1.56824 -1.35855  1.11649 -0.84783  0.55897 -0.25680 -0.05150  0.35856 -0.65708  0.93995 -1.20043  1.43230 -1.63006  1.78897 -1.90527  1.97618  0.00000     ... ... ..... ....... ......... ........... .............
E17'    2.00000 -0.35856 -1.87143  1.02959  1.50226 -1.56824 -0.93995  1.90527  0.25680 -1.99735  0.45938  1.83263 -1.11649 -1.43230  1.63006  0.84783 -1.93406 -0.15435  1.98940 -0.55897 -1.78897  1.20043  1.35855 -1.68755 -0.75346  1.95771  0.05150 -1.97618  0.65708  1.74057 -1.28119  0.00000  2.00000 -0.35856  1.02959 -1.56824  1.90527 -1.99735  1.83263 -1.43230  0.84783 -0.15435 -0.55897  1.20043 -1.68755  1.95771 -1.97618  1.74057 -1.28119  0.65708  0.05150 -0.75346  1.35855 -1.78897  1.98940 -1.93406  1.63006 -1.11649  0.45938  0.25680 -0.93995  1.50226 -1.87143  0.00000     ... ... ..... ....... ......... ........... .............
E17"    2.00000 -0.35856 -1.87143  1.02959  1.50226 -1.56824 -0.93995  1.90527  0.25680 -1.99735  0.45938  1.83263 -1.11649 -1.43230  1.63006  0.84783 -1.93406 -0.15435  1.98940 -0.55897 -1.78897  1.20043  1.35855 -1.68755 -0.75346  1.95771  0.05150 -1.97618  0.65708  1.74057 -1.28119  0.00000 -2.00000  0.35856 -1.02959  1.56824 -1.90527  1.99735 -1.83263  1.43230 -0.84783  0.15435  0.55897 -1.20043  1.68755 -1.95771  1.97618 -1.74057  1.28119 -0.65708 -0.05150  0.75346 -1.35855  1.78897 -1.98940  1.93406 -1.63006  1.11649 -0.45938 -0.25680  0.93995 -1.50226  1.87143  0.00000     ... ... ..... ....... ......... ........... .............
E18'    2.00000 -0.55897 -1.68755  1.50226  0.84783 -1.97618  0.25680  1.83263 -1.28119 -1.11649  1.90527  0.05150 -1.93406  1.02959  1.35855 -1.78897 -0.35856  1.98940 -0.75346 -1.56824  1.63006  0.65708 -1.99735  0.45938  1.74057 -1.43230 -0.93995  1.95771 -0.15435 -1.87143  1.20043  0.00000  2.00000 -0.55897  1.50226 -1.97618  1.83263 -1.11649  0.05150  1.02959 -1.78897  1.98940 -1.56824  0.65708  0.45938 -1.43230  1.95771 -1.87143  1.20043 -0.15435 -0.93995  1.74057 -1.99735  1.63006 -0.75346 -0.35856  1.35855 -1.93406  1.90527 -1.28119  0.25680  0.84783 -1.68755  0.00000     ... ... ..... ....... ......... ........... .............
E18"    2.00000 -0.55897 -1.68755  1.50226  0.84783 -1.97618  0.25680  1.83263 -1.28119 -1.11649  1.90527  0.05150 -1.93406  1.02959  1.35855 -1.78897 -0.35856  1.98940 -0.75346 -1.56824  1.63006  0.65708 -1.99735  0.45938  1.74057 -1.43230 -0.93995  1.95771 -0.15435 -1.87143  1.20043  0.00000 -2.00000  0.55897 -1.50226  1.97618 -1.83263  1.11649 -0.05150 -1.02959  1.78897 -1.98940  1.56824 -0.65708 -0.45938  1.43230 -1.95771  1.87143 -1.20043  0.15435  0.93995 -1.74057  1.99735 -1.63006  0.75346  0.35856 -1.35855  1.93406 -1.90527  1.28119 -0.25680 -0.84783  1.68755  0.00000     ... ... ..... ....... ......... ........... .............
E19'    2.00000 -0.75346 -1.43230  1.83263  0.05150 -1.87143  1.35855  0.84783 -1.99735  0.65708  1.50226 -1.78897 -0.15435  1.90527 -1.28119 -0.93995  1.98940 -0.55897 -1.56824  1.74057  0.25680 -1.93406  1.20043  1.02959 -1.97618  0.45938  1.63006 -1.68755 -0.35856  1.95771 -1.11649  0.00000  2.00000 -0.75346  1.83263 -1.87143  0.84783  0.65708 -1.78897  1.90527 -0.93995 -0.55897  1.74057 -1.93406  1.02959  0.45938 -1.68755  1.95771 -1.11649 -0.35856  1.63006 -1.97618  1.20043  0.25680 -1.56824  1.98940 -1.28119 -0.15435  1.50226 -1.99735  1.35855  0.05150 -1.43230  0.00000     ... ... ..... ....... ......... ........... .............
E19"    2.00000 -0.75346 -1.43230  1.83263  0.05150 -1.87143  1.35855  0.84783 -1.99735  0.65708  1.50226 -1.78897 -0.15435  1.90527 -1.28119 -0.93995  1.98940 -0.55897 -1.56824  1.74057  0.25680 -1.93406  1.20043  1.02959 -1.97618  0.45938  1.63006 -1.68755 -0.35856  1.95771 -1.11649  0.00000 -2.00000  0.75346 -1.83263  1.87143 -0.84783 -0.65708  1.78897 -1.90527  0.93995  0.55897 -1.74057  1.93406 -1.02959 -0.45938  1.68755 -1.95771  1.11649  0.35856 -1.63006  1.97618 -1.20043 -0.25680  1.56824 -1.98940  1.28119  0.15435 -1.50226  1.99735 -1.35855 -0.05150  1.43230  0.00000     ... ... ..... ....... ......... ........... .............
E20'    2.00000 -0.93995 -1.11649  1.98940 -0.75346 -1.28119  1.95771 -0.55897 -1.43230  1.90527 -0.35856 -1.56824  1.83263 -0.15435 -1.68755  1.74057  0.05150 -1.78897  1.63006  0.25680 -1.87143  1.50226  0.45938 -1.93406  1.35855  0.65708 -1.97618  1.20043  0.84783 -1.99735  1.02959  0.00000  2.00000 -0.93995  1.98940 -1.28119 -0.55897  1.90527 -1.56824 -0.15435  1.74057 -1.78897  0.25680  1.50226 -1.93406  0.65708  1.20043 -1.99735  1.02959  0.84783 -1.97618  1.35855  0.45938 -1.87143  1.63006  0.05150 -1.68755  1.83263 -0.35856 -1.43230  1.95771 -0.75346 -1.11649  0.00000     ... ... ..... ....... ......... ........... .............
E20"    2.00000 -0.93995 -1.11649  1.98940 -0.75346 -1.28119  1.95771 -0.55897 -1.43230  1.90527 -0.35856 -1.56824  1.83263 -0.15435 -1.68755  1.74057  0.05150 -1.78897  1.63006  0.25680 -1.87143  1.50226  0.45938 -1.93406  1.35855  0.65708 -1.97618  1.20043  0.84783 -1.99735  1.02959  0.00000 -2.00000  0.93995 -1.98940  1.28119  0.55897 -1.90527  1.56824  0.15435 -1.74057  1.78897 -0.25680 -1.50226  1.93406 -0.65708 -1.20043  1.99735 -1.02959 -0.84783  1.97618 -1.35855 -0.45938  1.87143 -1.63006 -0.05150  1.68755 -1.83263  0.35856  1.43230 -1.95771  0.75346  1.11649  0.00000     ... ... ..... ....... ......... ........... .............
E21'    2.00000 -1.11649 -0.75346  1.95771 -1.43230 -0.35856  1.83263 -1.68755  0.05150  1.63006 -1.87143  0.45938  1.35855 -1.97618  0.84783  1.02959 -1.99735  1.20043  0.65708 -1.93406  1.50226  0.25680 -1.78897  1.74057 -0.15435 -1.56824  1.90527 -0.55897 -1.28119  1.98940 -0.93995  0.00000  2.00000 -1.11649  1.95771 -0.35856 -1.68755  1.63006  0.45938 -1.97618  1.02959  1.20043 -1.93406  0.25680  1.74057 -1.56824 -0.55897  1.98940 -0.93995 -1.28119  1.90527 -0.15435 -1.78897  1.50226  0.65708 -1.99735  0.84783  1.35855 -1.87143  0.05150  1.83263 -1.43230 -0.75346  0.00000     ... ... ..... ....... ......... ........... .............
E21"    2.00000 -1.11649 -0.75346  1.95771 -1.43230 -0.35856  1.83263 -1.68755  0.05150  1.63006 -1.87143  0.45938  1.35855 -1.97618  0.84783  1.02959 -1.99735  1.20043  0.65708 -1.93406  1.50226  0.25680 -1.78897  1.74057 -0.15435 -1.56824  1.90527 -0.55897 -1.28119  1.98940 -0.93995  0.00000 -2.00000  1.11649 -1.95771  0.35856  1.68755 -1.63006 -0.45938  1.97618 -1.02959 -1.20043  1.93406 -0.25680 -1.74057  1.56824  0.55897 -1.98940  0.93995  1.28119 -1.90527  0.15435  1.78897 -1.50226 -0.65708  1.99735 -0.84783 -1.35855  1.87143 -0.05150 -1.83263  1.43230  0.75346  0.00000     ... ... ..... ....... ......... ........... .............
E22'    2.00000 -1.28119 -0.35856  1.74057 -1.87143  0.65708  1.02959 -1.97618  1.50226  0.05150 -1.56824  1.95771 -0.93995 -0.75346  1.90527 -1.68755  0.25680  1.35855 -1.99735  1.20043  0.45938 -1.78897  1.83263 -0.55897 -1.11649  1.98940 -1.43230 -0.15435  1.63006 -1.93406  0.84783  0.00000  2.00000 -1.28119  1.74057  0.65708 -1.97618  0.05150  1.95771 -0.75346 -1.68755  1.35855  1.20043 -1.78897 -0.55897  1.98940 -0.15435 -1.93406  0.84783  1.63006 -1.43230 -1.11649  1.83263  0.45938 -1.99735  0.25680  1.90527 -0.93995 -1.56824  1.50226  1.02959 -1.87143 -0.35856  0.00000     ... ... ..... ....... ......... ........... .............
E22"    2.00000 -1.28119 -0.35856  1.74057 -1.87143  0.65708  1.02959 -1.97618  1.50226  0.05150 -1.56824  1.95771 -0.93995 -0.75346  1.90527 -1.68755  0.25680  1.35855 -1.99735  1.20043  0.45938 -1.78897  1.83263 -0.55897 -1.11649  1.98940 -1.43230 -0.15435  1.63006 -1.93406  0.84783  0.00000 -2.00000  1.28119 -1.74057 -0.65708  1.97618 -0.05150 -1.95771  0.75346  1.68755 -1.35855 -1.20043  1.78897  0.55897 -1.98940  0.15435  1.93406 -0.84783 -1.63006  1.43230  1.11649 -1.83263 -0.45938  1.99735 -0.25680 -1.90527  0.93995  1.56824 -1.50226 -1.02959  1.87143  0.35856  0.00000     ... ... ..... ....... ......... ........... .............
E23'    2.00000 -1.43230  0.05150  1.35855 -1.99735  1.50226 -0.15435 -1.28119  1.98940 -1.56824  0.25680  1.20043 -1.97618  1.63006 -0.35856 -1.11649  1.95771 -1.68755  0.45938  1.02959 -1.93406  1.74057 -0.55897 -0.93995  1.90527 -1.78897  0.65708  0.84783 -1.87143  1.83263 -0.75346  0.00000  2.00000 -1.43230  1.35855  1.50226 -1.28119 -1.56824  1.20043  1.63006 -1.11649 -1.68755  1.02959  1.74057 -0.93995 -1.78897  0.84783  1.83263 -0.75346 -1.87143  0.65708  1.90527 -0.55897 -1.93406  0.45938  1.95771 -0.35856 -1.97618  0.25680  1.98940 -0.15435 -1.99735  0.05150  0.00000     ... ... ..... ....... ......... ........... .............
E23"    2.00000 -1.43230  0.05150  1.35855 -1.99735  1.50226 -0.15435 -1.28119  1.98940 -1.56824  0.25680  1.20043 -1.97618  1.63006 -0.35856 -1.11649  1.95771 -1.68755  0.45938  1.02959 -1.93406  1.74057 -0.55897 -0.93995  1.90527 -1.78897  0.65708  0.84783 -1.87143  1.83263 -0.75346  0.00000 -2.00000  1.43230 -1.35855 -1.50226  1.28119  1.56824 -1.20043 -1.63006  1.11649  1.68755 -1.02959 -1.74057  0.93995  1.78897 -0.84783 -1.83263  0.75346  1.87143 -0.65708 -1.90527  0.55897  1.93406 -0.45938 -1.95771  0.35856  1.97618 -0.25680 -1.98940  0.15435  1.99735 -0.05150  0.00000     ... ... ..... ....... ......... ........... .............
E24'    2.00000 -1.56824  0.45938  0.84783 -1.78897  1.95771 -1.28119  0.05150  1.20043 -1.93406  1.83263 -0.93995 -0.35856  1.50226 -1.99735  1.63006 -0.55897 -0.75346  1.74057 -1.97618  1.35855 -0.15435 -1.11649  1.90527 -1.87143  1.02959  0.25680 -1.43230  1.98940 -1.68755  0.65708  0.00000  2.00000 -1.56824  0.84783  1.95771  0.05150 -1.93406 -0.93995  1.50226  1.63006 -0.75346 -1.97618 -0.15435  1.90527  1.02959 -1.43230 -1.68755  0.65708  1.98940  0.25680 -1.87143 -1.11649  1.35855  1.74057 -0.55897 -1.99735 -0.35856  1.83263  1.20043 -1.28119 -1.78897  0.45938  0.00000     ... ... ..... ....... ......... ........... .............
E24"    2.00000 -1.56824  0.45938  0.84783 -1.78897  1.95771 -1.28119  0.05150  1.20043 -1.93406  1.83263 -0.93995 -0.35856  1.50226 -1.99735  1.63006 -0.55897 -0.75346  1.74057 -1.97618  1.35855 -0.15435 -1.11649  1.90527 -1.87143  1.02959  0.25680 -1.43230  1.98940 -1.68755  0.65708  0.00000 -2.00000  1.56824 -0.84783 -1.95771 -0.05150  1.93406  0.93995 -1.50226 -1.63006  0.75346  1.97618  0.15435 -1.90527 -1.02959  1.43230  1.68755 -0.65708 -1.98940 -0.25680  1.87143  1.11649 -1.35855 -1.74057  0.55897  1.99735  0.35856 -1.83263 -1.20043  1.28119  1.78897 -0.45938  0.00000     ... ... ..... ....... ......... ........... .............
E25'    2.00000 -1.68755  0.84783  0.25680 -1.28119  1.90527 -1.93406  1.35855 -0.35856 -0.75346  1.63006 -1.99735  1.74057 -0.93995 -0.15435  1.20043 -1.87143  1.95771 -1.43230  0.45938  0.65708 -1.56824  1.98940 -1.78897  1.02959  0.05150 -1.11649  1.83263 -1.97618  1.50226 -0.55897  0.00000  2.00000 -1.68755  0.25680  1.90527  1.35855 -0.75346 -1.99735 -0.93995  1.20043  1.95771  0.45938 -1.56824 -1.78897  0.05150  1.83263  1.50226 -0.55897 -1.97618 -1.11649  1.02959  1.98940  0.65708 -1.43230 -1.87143 -0.15435  1.74057  1.63006 -0.35856 -1.93406 -1.28119  0.84783  0.00000     ... ... ..... ....... ......... ........... .............
E25"    2.00000 -1.68755  0.84783  0.25680 -1.28119  1.90527 -1.93406  1.35855 -0.35856 -0.75346  1.63006 -1.99735  1.74057 -0.93995 -0.15435  1.20043 -1.87143  1.95771 -1.43230  0.45938  0.65708 -1.56824  1.98940 -1.78897  1.02959  0.05150 -1.11649  1.83263 -1.97618  1.50226 -0.55897  0.00000 -2.00000  1.68755 -0.25680 -1.90527 -1.35855  0.75346  1.99735  0.93995 -1.20043 -1.95771 -0.45938  1.56824  1.78897 -0.05150 -1.83263 -1.50226  0.55897  1.97618  1.11649 -1.02959 -1.98940 -0.65708  1.43230  1.87143  0.15435 -1.74057 -1.63006  0.35856  1.93406  1.28119 -0.84783  0.00000     ... ... ..... ....... ......... ........... .............
E26'    2.00000 -1.78897  1.20043 -0.35856 -0.55897  1.35855 -1.87143  1.98940 -1.68755  1.02959 -0.15435 -0.75346  1.50226 -1.93406  1.95771 -1.56824  0.84783  0.05150 -0.93995  1.63006 -1.97618  1.90527 -1.43230  0.65708  0.25680 -1.11649  1.74057 -1.99735  1.83263 -1.28119  0.45938  0.00000  2.00000 -1.78897 -0.35856  1.35855  1.98940  1.02959 -0.75346 -1.93406 -1.56824  0.05150  1.63006  1.90527  0.65708 -1.11649 -1.99735 -1.28119  0.45938  1.83263  1.74057  0.25680 -1.43230 -1.97618 -0.93995  0.84783  1.95771  1.50226 -0.15435 -1.68755 -1.87143 -0.55897  1.20043  0.00000     ... ... ..... ....... ......... ........... .............
E26"    2.00000 -1.78897  1.20043 -0.35856 -0.55897  1.35855 -1.87143  1.98940 -1.68755  1.02959 -0.15435 -0.75346  1.50226 -1.93406  1.95771 -1.56824  0.84783  0.05150 -0.93995  1.63006 -1.97618  1.90527 -1.43230  0.65708  0.25680 -1.11649  1.74057 -1.99735  1.83263 -1.28119  0.45938  0.00000 -2.00000  1.78897  0.35856 -1.35855 -1.98940 -1.02959  0.75346  1.93406  1.56824 -0.05150 -1.63006 -1.90527 -0.65708  1.11649  1.99735  1.28119 -0.45938 -1.83263 -1.74057 -0.25680  1.43230  1.97618  0.93995 -0.84783 -1.95771 -1.50226  0.15435  1.68755  1.87143  0.55897 -1.20043  0.00000     ... ... ..... ....... ......... ........... .............
E27'    2.00000 -1.87143  1.50226 -0.93995  0.25680  0.45938 -1.11649  1.63006 -1.93406  1.98940 -1.78897  1.35855 -0.75346  0.05150  0.65708 -1.28119  1.74057 -1.97618  1.95771 -1.68755  1.20043 -0.55897 -0.15435  0.84783 -1.43230  1.83263 -1.99735  1.90527 -1.56824  1.02959 -0.35856  0.00000  2.00000 -1.87143 -0.93995  0.45938  1.63006  1.98940  1.35855  0.05150 -1.28119 -1.97618 -1.68755 -0.55897  0.84783  1.83263  1.90527  1.02959 -0.35856 -1.56824 -1.99735 -1.43230 -0.15435  1.20043  1.95771  1.74057  0.65708 -0.75346 -1.78897 -1.93406 -1.11649  0.25680  1.50226  0.00000     ... ... ..... ....... ......... ........... .............
E27"    2.00000 -1.87143  1.50226 -0.93995  0.25680  0.45938 -1.11649  1.63006 -1.93406  1.98940 -1.78897  1.35855 -0.75346  0.05150  0.65708 -1.28119  1.74057 -1.97618  1.95771 -1.68755  1.20043 -0.55897 -0.15435  0.84783 -1.43230  1.83263 -1.99735  1.90527 -1.56824  1.02959 -0.35856  0.00000 -2.00000  1.87143  0.93995 -0.45938 -1.63006 -1.98940 -1.35855 -0.05150  1.28119  1.97618  1.68755  0.55897 -0.84783 -1.83263 -1.90527 -1.02959  0.35856  1.56824  1.99735  1.43230  0.15435 -1.20043 -1.95771 -1.74057 -0.65708  0.75346  1.78897  1.93406  1.11649 -0.25680 -1.50226  0.00000     ... ... ..... ....... ......... ........... .............
E28'    2.00000 -1.93406  1.74057 -1.43230  1.02959 -0.55897  0.05150  0.45938 -0.93995  1.35855 -1.68755  1.90527 -1.99735  1.95771 -1.78897  1.50226 -1.11649  0.65708 -0.15435 -0.35856  0.84783 -1.28119  1.63006 -1.87143  1.98940 -1.97618  1.83263 -1.56824  1.20043 -0.75346  0.25680  0.00000  2.00000 -1.93406 -1.43230 -0.55897  0.45938  1.35855  1.90527  1.95771  1.50226  0.65708 -0.35856 -1.28119 -1.87143 -1.97618 -1.56824 -0.75346  0.25680  1.20043  1.83263  1.98940  1.63006  0.84783 -0.15435 -1.11649 -1.78897 -1.99735 -1.68755 -0.93995  0.05150  1.02959  1.74057  0.00000     ... ... ..... ....... ......... ........... .............
E28"    2.00000 -1.93406  1.74057 -1.43230  1.02959 -0.55897  0.05150  0.45938 -0.93995  1.35855 -1.68755  1.90527 -1.99735  1.95771 -1.78897  1.50226 -1.11649  0.65708 -0.15435 -0.35856  0.84783 -1.28119  1.63006 -1.87143  1.98940 -1.97618  1.83263 -1.56824  1.20043 -0.75346  0.25680  0.00000 -2.00000  1.93406  1.43230  0.55897 -0.45938 -1.35855 -1.90527 -1.95771 -1.50226 -0.65708  0.35856  1.28119  1.87143  1.97618  1.56824  0.75346 -0.25680 -1.20043 -1.83263 -1.98940 -1.63006 -0.84783  0.15435  1.11649  1.78897  1.99735  1.68755  0.93995 -0.05150 -1.02959 -1.74057  0.00000     ... ... ..... ....... ......... ........... .............
E29'    2.00000 -1.97618  1.90527 -1.78897  1.63006 -1.43230  1.20043 -0.93995  0.65708 -0.35856  0.05150  0.25680 -0.55897  0.84783 -1.11649  1.35855 -1.56824  1.74057 -1.87143  1.95771 -1.99735  1.98940 -1.93406  1.83263 -1.68755  1.50226 -1.28119  1.02959 -0.75346  0.45938 -0.15435  0.00000  2.00000 -1.97618 -1.78897 -1.43230 -0.93995 -0.35856  0.25680  0.84783  1.35855  1.74057  1.95771  1.98940  1.83263  1.50226  1.02959  0.45938 -0.15435 -0.75346 -1.28119 -1.68755 -1.93406 -1.99735 -1.87143 -1.56824 -1.11649 -0.55897  0.05150  0.65708  1.20043  1.63006  1.90527  0.00000     ... ... ..... ....... ......... ........... .............
E29"    2.00000 -1.97618  1.90527 -1.78897  1.63006 -1.43230  1.20043 -0.93995  0.65708 -0.35856  0.05150  0.25680 -0.55897  0.84783 -1.11649  1.35855 -1.56824  1.74057 -1.87143  1.95771 -1.99735  1.98940 -1.93406  1.83263 -1.68755  1.50226 -1.28119  1.02959 -0.75346  0.45938 -0.15435  0.00000 -2.00000  1.97618  1.78897  1.43230  0.93995  0.35856 -0.25680 -0.84783 -1.35855 -1.74057 -1.95771 -1.98940 -1.83263 -1.50226 -1.02959 -0.45938  0.15435  0.75346  1.28119  1.68755  1.93406  1.99735  1.87143  1.56824  1.11649  0.55897 -0.05150 -0.65708 -1.20043 -1.63006 -1.90527  0.00000     ... ... ..... ....... ......... ........... .............
E30'    2.00000 -1.99735  1.98940 -1.97618  1.95771 -1.93406  1.90527 -1.87143  1.83263 -1.78897  1.74057 -1.68755  1.63006 -1.56824  1.50226 -1.43230  1.35855 -1.28119  1.20043 -1.11649  1.02959 -0.93995  0.84783 -0.75346  0.65708 -0.55897  0.45938 -0.35856  0.25680 -0.15435  0.05150  0.00000  2.00000 -1.99735 -1.97618 -1.93406 -1.87143 -1.78897 -1.68755 -1.56824 -1.43230 -1.28119 -1.11649 -0.93995 -0.75346 -0.55897 -0.35856 -0.15435  0.05150  0.25680  0.45938  0.65708  0.84783  1.02959  1.20043  1.35855  1.50226  1.63006  1.74057  1.83263  1.90527  1.95771  1.98940  0.00000     ... ... ..... ....... ......... ........... .............
E30"    2.00000 -1.99735  1.98940 -1.97618  1.95771 -1.93406  1.90527 -1.87143  1.83263 -1.78897  1.74057 -1.68755  1.63006 -1.56824  1.50226 -1.43230  1.35855 -1.28119  1.20043 -1.11649  1.02959 -0.93995  0.84783 -0.75346  0.65708 -0.55897  0.45938 -0.35856  0.25680 -0.15435  0.05150  0.00000 -2.00000  1.99735  1.97618  1.93406  1.87143  1.78897  1.68755  1.56824  1.43230  1.28119  1.11649  0.93995  0.75346  0.55897  0.35856  0.15435 -0.05150 -0.25680 -0.45938 -0.65708 -0.84783 -1.02959 -1.20043 -1.35855 -1.50226 -1.63006 -1.74057 -1.83263 -1.90527 -1.95771 -1.98940  0.00000     ... ... ..... ....... ......... ........... .............

 Irrational character values:  1.997348179770 = 2*cos(2*π/122) = 2*cos(π/61)
                               1.989399751229 = 2*cos(4*π/122) = 2*cos(2*π/61)
                               1.976175792182 = 2*cos(6*π/122) = 2*cos(3*π/61)
                               1.957711370191 = 2*cos(8*π/122) = 2*cos(4*π/61)
                               1.934055449583 = 2*cos(10*π/122) = 2*cos(5*π/61)
                               1.905270761607 = 2*cos(12*π/122) = 2*cos(6*π/61)
                               1.871433638081 = 2*cos(14*π/122) = 2*cos(7*π/61)
                               1.832633808974 = 2*cos(16*π/122) = 2*cos(8*π/61)
                               1.788974164458 = 2*cos(18*π/122) = 2*cos(9*π/61)
                               1.740570482060 = 2*cos(20*π/122) = 2*cos(10*π/61)
                               1.687551119646 = 2*cos(22*π/122) = 2*cos(11*π/61)
                               1.630056675034 = 2*cos(24*π/122) = 2*cos(12*π/61)
                               1.568239613153 = 2*cos(26*π/122) = 2*cos(13*π/61)
                               1.502263861741 = 2*cos(28*π/122) = 2*cos(14*π/61)
                               1.432304376629 = 2*cos(30*π/122) = 2*cos(15*π/61)
                               1.358546677795 = 2*cos(32*π/122) = 2*cos(16*π/61)
                               1.281186357396 = 2*cos(34*π/122) = 2*cos(17*π/61)
                               1.200428561097 = 2*cos(36*π/122) = 2*cos(18*π/61)
                               1.116487444054 = 2*cos(38*π/122) = 2*cos(19*π/61)
                               1.029585603020 = 2*cos(40*π/122) = 2*cos(20*π/61)
                               0.939953486055 = 2*cos(42*π/122) = 2*cos(21*π/61)
                               0.847828781420 = 2*cos(44*π/122) = 2*cos(22*π/61)
                               0.753455787270 = 2*cos(46*π/122) = 2*cos(23*π/61)
                               0.657084763822 = 2*cos(48*π/122) = 2*cos(24*π/61)
                               0.558971269703 = 2*cos(50*π/122) = 2*cos(25*π/61)
                               0.459375484264 = 2*cos(52*π/122) = 2*cos(26*π/61)
                               0.358561517621 = 2*cos(54*π/122) = 2*cos(27*π/61)
                               0.256796710293 = 2*cos(56*π/122) = 2*cos(28*π/61)
                               0.154350924253 = 2*cos(58*π/122) = 2*cos(29*π/61)
                               0.051495827310 = 2*cos(60*π/122) = 2*cos(30*π/61)



 Symmetry of Rotations and Cartesian products

A1'  d+g+i+k+m    z2, z4, z6 
A2'  R            Rz 
A2"  p+f+h+j+l    z, z3, z5 
E1'  p+f+h+j+l    {x, y}, {xz2, yz2}, {xz4, yz4} 
E1"  R+d+g+i+k+m  {Rx, Ry}, {xz, yz}, {xz3, yz3}, {xz5, yz5} 
E2'  d+g+i+k+m    {x2y2, xy}, {z2(x2y2), xyz2}, {z4(x2y2), xyz4} 
E2"  f+h+j+l      {z(x2y2), xyz}, {z3(x2y2), xyz3} 
E3'  f+h+j+l      {x(x2−3y2), y(3x2y2)}, {xz2(x2−3y2), yz2(3x2y2)} 
E3"  g+i+k+m      {xz(x2−3y2), yz(3x2y2)}, {xz3(x2−3y2), yz3(3x2y2)} 
E4'  g+i+k+m      {(x2y2)2−4x2y2, xy(x2y2)}, {z2((x2y2)2−4x2y2), xyz2(x2y2)} 
E4"  h+j+l        {z((x2y2)2−4x2y2), xyz(x2y2)} 
E5'  h+j+l        {x(x2−(5+2√5)y2)(x2−(5−2√5)y2), y((5+2√5)x2y2)((5−2√5)x2y2)} 
E5"  i+k+m        {xz(x2−(5+2√5)y2)(x2−(5−2√5)y2), yz((5+2√5)x2y2)((5−2√5)x2y2)} 
E6'  i+k+m        {x2(x2−3y2)2y2(3x2y2)2, xy(x2−3y2)(3x2y2)} 
E6"  j+l 
E7'  j+l 
E7"  k+m 
E8'  k+m 
E8"  l 
E9'  l 
E9"  m 
E10' m 

 Notes:

    α  The order of the D61h point group is 244, and the order of the principal axis (S61) is 122. The group has 64 irreducible representations.

    β  The D61h point group is isomorphic to D61d, C122v and D122.

    γ  The D61h point group is generated by two symmetry elements, S61 and either a perpendicular C2 or a vertical σv.
       Also, the group may be generated from any two σv planes, or any σv and a non-coplanar C2.
       The canonical choice, however, is to use redundant generators: C61, C2 and σh.

    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.
       Similarly, the single set of symmetry planes denoted σd contains the xz plane but not the yz plane.

    ε  The lowest nonvanishing multipole moment in D61h 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 D61h point group was created by Gernot Katzer.

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