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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........... 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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 ... ... ..... ....... ......... ........... ............. 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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 ... ... ..... ....... ......... ........... ............. 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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 {x2−y2, xy}, {z2(x2−y2), xyz2}, {z4(x2−y2), xyz4} E2" f+h+j+l {z(x2−y2), xyz}, {z3(x2−y2), xyz3} E3' f+h+j+l {x(x2−3y2), y(3x2−y2)}, {xz2(x2−3y2), yz2(3x2−y2)} E3" g+i+k+m {xz(x2−3y2), yz(3x2−y2)}, {xz3(x2−3y2), yz3(3x2−y2)} E4' g+i+k+m {(x2−y2)2−4x2y2, xy(x2−y2)}, {z2((x2−y2)2−4x2y2), xyz2(x2−y2)} E4" h+j+l {z((x2−y2)2−4x2y2), xyz(x2−y2)} E5' 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)} E5" 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)} E6' i+k+m {x2(x2−3y2)2−y2(3x2−y2)2, xy(x2−3y2)(3x2−y2)} 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.
D59h | ||
D60h | ||
C61 C61v C61h D61 | D61h | D61d |
D62h | ||
D63h |
This Character Table for the D61h point group was created by Gernot Katzer.
For other groups and some explanations, see the Main Page.