C122 E 2 C122 2 C61 2 C122^3 2 C61^2 2 C122^5 2 C61^3 2 C122^7 2 C61^4 2 C122^9 2 C61^5 2 C122^11 2 C61^6 2 C122^13 2 C61^7 2 C122^15 2 C61^8 2 C122^17 2 C61^9 2 C122^19 2 C61^10 2 C122^21 2 C61^11 2 C122^23 2 C61^12 2 C122^25 2 C61^13 2 C122^27 2 C61^14 2 C122^29 2 C61^15 2 C122^31 2 C61^16 2 C122^33 2 C61^17 2 C122^35 2 C61^18 2 C122^37 2 C61^19 2 C122^39 2 C61^20 2 C122^41 2 C61^21 2 C122^43 2 C61^22 2 C122^45 2 C61^23 2 C122^47 2 C61^24 2 C122^49 2 C61^25 2 C122^51 2 C61^26 2 C122^53 2 C61^27 2 C122^55 2 C61^28 2 C122^57 2 C61^29 2 C122^59 2 C61^30 C2 <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> A 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 ..T ..T ....T ......T ........T ..........T ............T B 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 ... ... ..... ....... ......... ........... ............. E1 * 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 -0.05150 -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 -2.00000 TT. TT. ..TT. ....TT. ......TT. ........TT. ..........TT. E2 * 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 -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 2.00000 ... ... TT... ..TT... ....TT... ......TT... ........TT... E3 * 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 0.15435 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 -2.00000 ... ... ..... TT..... ..TT..... ....TT..... ......TT..... E4 * 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 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 2.00000 ... ... ..... ....... TT....... ..TT....... ....TT....... E5 * 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 -0.25680 -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 -2.00000 ... ... ..... ....... ......... TT......... ..TT......... E6 * 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 -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 2.00000 ... ... ..... ....... ......... ........... TT........... E7 * 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 0.35856 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 -2.00000 ... ... ..... ....... ......... ........... ............. E8 * 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 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 2.00000 ... ... ..... ....... ......... ........... ............. E9 * 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 -0.45938 -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 -2.00000 ... ... ..... ....... ......... ........... ............. E10 * 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 -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 2.00000 ... ... ..... ....... ......... ........... ............. E11 * 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 0.55897 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 -2.00000 ... ... ..... ....... ......... ........... ............. E12 * 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 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 2.00000 ... ... ..... ....... ......... ........... ............. E13 * 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 -0.65708 -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 -2.00000 ... ... ..... ....... ......... ........... ............. E14 * 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 -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 2.00000 ... ... ..... ....... ......... ........... ............. E15 * 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 0.75346 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 -2.00000 ... ... ..... ....... ......... ........... ............. E16 * 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 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 2.00000 ... ... ..... ....... ......... ........... ............. E17 * 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 -0.84783 -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 -2.00000 ... ... ..... ....... ......... ........... ............. E18 * 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 -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 2.00000 ... ... ..... ....... ......... ........... ............. E19 * 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 0.93995 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 -2.00000 ... ... ..... ....... ......... ........... ............. E20 * 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 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 2.00000 ... ... ..... ....... ......... ........... ............. E21 * 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 -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 -2.00000 ... ... ..... ....... ......... ........... ............. E22 * 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 -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 2.00000 ... ... ..... ....... ......... ........... ............. E23 * 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 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 -2.00000 ... ... ..... ....... ......... ........... ............. E24 * 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 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 2.00000 ... ... ..... ....... ......... ........... ............. E25 * 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 -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 -2.00000 ... ... ..... ....... ......... ........... ............. E26 * 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 -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 2.00000 ... ... ..... ....... ......... ........... ............. E27 * 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 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 -2.00000 ... ... ..... ....... ......... ........... ............. E28 * 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 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 2.00000 ... ... ..... ....... ......... ........... ............. E29 * 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 -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 -2.00000 ... ... ..... ....... ......... ........... ............. E30 * 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 -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 2.00000 ... ... ..... ....... ......... ........... ............. E31 * 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 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 -2.00000 ... ... ..... ....... ......... ........... ............. E32 * 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 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 2.00000 ... ... ..... ....... ......... ........... ............. E33 * 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 -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 -2.00000 ... ... ..... ....... ......... ........... ............. E34 * 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 -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 2.00000 ... ... ..... ....... ......... ........... ............. E35 * 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 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 -2.00000 ... ... ..... ....... ......... ........... ............. E36 * 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 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 2.00000 ... ... ..... ....... ......... ........... ............. E37 * 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 -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 -2.00000 ... ... ..... ....... ......... ........... ............. E38 * 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 -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 2.00000 ... ... ..... ....... ......... ........... ............. E39 * 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 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 -2.00000 ... ... ..... ....... ......... ........... ............. E40 * 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 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 2.00000 ... ... ..... ....... ......... ........... ............. E41 * 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 -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 -2.00000 ... ... ..... ....... ......... ........... ............. E42 * 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 -0.93995 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 2.00000 ... ... ..... ....... ......... ........... ............. E43 * 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 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 -2.00000 ... ... ..... ....... ......... ........... ............. E44 * 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 0.84783 -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 2.00000 ... ... ..... ....... ......... ........... ............. E45 * 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 -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 -2.00000 ... ... ..... ....... ......... ........... ............. E46 * 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 -0.75346 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 2.00000 ... ... ..... ....... ......... ........... ............. E47 * 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 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 -2.00000 ... ... ..... ....... ......... ........... ............. E48 * 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 0.65708 -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 2.00000 ... ... ..... ....... ......... ........... ............. E49 * 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 -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 -2.00000 ... ... ..... ....... ......... ........... ............. E50 * 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 -0.55897 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 2.00000 ... ... ..... ....... ......... ........... ............. E51 * 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 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 -2.00000 ... ... ..... ....... ......... ........... ............. E52 * 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 0.45938 -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 2.00000 ... ... ..... ....... ......... ........... ............. E53 * 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 -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 -2.00000 ... ... ..... ....... ......... ........... ............. E54 * 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 -0.35856 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 2.00000 ... ... ..... ....... ......... ........... ............. E55 * 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 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 -2.00000 ... ... ..... ....... ......... ........... ............. E56 * 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 0.25680 -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 2.00000 ... ... ..... ....... ......... ........... ............. E57 * 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 -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 -2.00000 ... ... ..... ....... ......... ........... ............. E58 * 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 -0.15435 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 2.00000 ... ... ..... ....... ......... ........... ............. E59 * 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 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 -2.00000 ... ... ..... ....... ......... ........... ............. E60 * 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 0.05150 -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 2.00000 ... ... ..... ....... ......... ........... ............. 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 A R+p+d+f+g+h+i+j+k+l+m Rz, z, z2, z3, z4, z5, z6 E1 R+p+d+f+g+h+i+j+k+l+m {Rx, Ry}, {x, y}, {xz, yz}, {xz2, yz2}, {xz3, yz3}, {xz4, yz4}, {xz5, yz5} E2 d+f+g+h+i+j+k+l+m {x2−y2, xy}, {z(x2−y2), xyz}, {z2(x2−y2), xyz2}, {z3(x2−y2), xyz3}, {z4(x2−y2), xyz4} E3 f+g+h+i+j+k+l+m {x(x2−3y2), y(3x2−y2)}, {xz(x2−3y2), yz(3x2−y2)}, {xz2(x2−3y2), yz2(3x2−y2)}, {xz3(x2−3y2), yz3(3x2−y2)} E4 g+h+i+j+k+l+m {(x2−y2)2−4x2y2, xy(x2−y2)}, {z((x2−y2)2−4x2y2), xyz(x2−y2)}, {z2((x2−y2)2−4x2y2), xyz2(x2−y2)} E5 h+i+j+k+l+m {x(x2−(5+2√5)y2)(x2−(5−2√5)y2), y((5+2√5)x2−y2)((5−2√5)x2−y2)}, {xz(x2−(5+2√5)y2)(x2−(5−2√5)y2), yz((5+2√5)x2−y2)((5−2√5)x2−y2)} E6 i+j+k+l+m {x2(x2−3y2)2−y2(3x2−y2)2, xy(x2−3y2)(3x2−y2)} E7 j+k+l+m E8 k+l+m E9 l+m E10 m Notes: α The order of the C122 point group is 122, and the order of the principal axis (C122) is 122. The group has 62 irreducible representations. β The C122 point group is isomorphic to S122 and C61h. γ The C122 point group is generated by one single symmetry element, C122. Therefore, it is a cyclic group. δ The lowest nonvanishing multipole moment in C122 is 2 (dipole moment). ε This is an Abelian point group (the commutative law holds between all symmetry operations). The C122 group is Abelian because it contains only one symmetry element, all the powers of which necessarily commute (sufficient condition). In Abelian groups, all symmetry operations form a class of their own, and all irreducible representations are one-dimensional. ζ Because the group is Abelian and the maximum order of rotation is >2, some irreducible representations have complex characters. These 120 cases have been combined into 60 two-dimensional representations that are no longer irreducible but have real-valued characters. Accordingly, 60 pairs of left and right rotations have been combined into one two-membered pseudo-class each. η The 60 reducible “E” representations almost behave like true irreducible representations. Their norm, however, is twice the group order. Therefore, they have been marked with an asterisk in the table. This is essential when trying to decompose a reducible representation into “irreducible” ones using the familiar projection formula. θ The point group is chiral, as it does not contain any mirroring operation. ι Some of the characters in the table are irrational because the order of the principal axis is neither 1,2,3,4 nor 6. These irrational values can be expressed as cosine values, or as solutions of algebraic equations with a leading coefficient of 1. All characters are algebraic integers of a degree much less than half the order of the principal axis. For this group, however, none of the irrational characters can be expressed by a closed algebraic form using real numbers only.
C120 | ||
C121 | ||
C122 | C122v C122h D122 D122h D122d S122 | |
C123 | ||
C124 |
This Character Table for the C122 point group was created by Gernot Katzer.
For other groups and some explanations, see the Main Page.