C126 E 2 C126 2 C63 2 C42 2 C63^2 2 C126^5 2 C21 2 C18 2 C63^4 2 C14 2 C63^5 2 C126^11 2 C21^2 2 C126^13 2 C9 2 C42^5 2 C63^8 2 C126^17 2 C7 2 C126^19 2 C63^10 2 C6 2 C63^11 2 C126^23 2 C21^4 2 C126^25 2 C63^13 2 C14^3 2 C9^2 2 C126^29 2 C21^5 2 C126^31 2 C63^16 2 C42^11 2 C63^17 2 C18^5 2 C7^2 2 C126^37 2 C63^19 2 C42^13 2 C63^20 2 C126^41 2 C3 2 C126^43 2 C63^22 2 C14^5 2 C63^23 2 C126^47 2 C21^8 2 C18^7 2 C63^25 2 C42^17 2 C63^26 2 C126^53 2 C7^3 2 C126^55 2 C9^4 2 C42^19 2 C63^29 2 C126^59 2 C21^10 2 C126^61 2 C63^31 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 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 1.00000 -1.00000 ... ... ..... ....... ......... ........... ............. E1 * 2.00000 1.99751 1.99006 1.97766 1.96034 1.93815 1.91115 1.87939 1.84295 1.80194 1.75644 1.70658 1.65248 1.59427 1.53209 1.46610 1.39647 1.32337 1.24698 1.16749 1.08509 1.00000 0.91242 0.82257 0.73068 0.63697 0.54168 0.44504 0.34730 0.24869 0.14946 0.04986 -0.04986 -0.14946 -0.24869 -0.34730 -0.44504 -0.54168 -0.63697 -0.73068 -0.82257 -0.91242 -1.00000 -1.08509 -1.16749 -1.24698 -1.32337 -1.39647 -1.46610 -1.53209 -1.59427 -1.65248 -1.70658 -1.75644 -1.80194 -1.84295 -1.87939 -1.91115 -1.93815 -1.96034 -1.97766 -1.99006 -1.99751 -2.00000 TT. TT. ..TT. ....TT. ......TT. ........TT. ..........TT. E2 * 2.00000 1.99006 1.96034 1.91115 1.84295 1.75644 1.65248 1.53209 1.39647 1.24698 1.08509 0.91242 0.73068 0.54168 0.34730 0.14946 -0.04986 -0.24869 -0.44504 -0.63697 -0.82257 -1.00000 -1.16749 -1.32337 -1.46610 -1.59427 -1.70658 -1.80194 -1.87939 -1.93815 -1.97766 -1.99751 -1.99751 -1.97766 -1.93815 -1.87939 -1.80194 -1.70658 -1.59427 -1.46610 -1.32337 -1.16749 -1.00000 -0.82257 -0.63697 -0.44504 -0.24869 -0.04986 0.14946 0.34730 0.54168 0.73068 0.91242 1.08509 1.24698 1.39647 1.53209 1.65248 1.75644 1.84295 1.91115 1.96034 1.99006 2.00000 ... ... TT... ..TT... ....TT... ......TT... ........TT... E3 * 2.00000 1.97766 1.91115 1.80194 1.65248 1.46610 1.24698 1.00000 0.73068 0.44504 0.14946 -0.14946 -0.44504 -0.73068 -1.00000 -1.24698 -1.46610 -1.65248 -1.80194 -1.91115 -1.97766 -2.00000 -1.97766 -1.91115 -1.80194 -1.65248 -1.46610 -1.24698 -1.00000 -0.73068 -0.44504 -0.14946 0.14946 0.44504 0.73068 1.00000 1.24698 1.46610 1.65248 1.80194 1.91115 1.97766 2.00000 1.97766 1.91115 1.80194 1.65248 1.46610 1.24698 1.00000 0.73068 0.44504 0.14946 -0.14946 -0.44504 -0.73068 -1.00000 -1.24698 -1.46610 -1.65248 -1.80194 -1.91115 -1.97766 -2.00000 ... ... ..... TT..... ..TT..... ....TT..... ......TT..... E4 * 2.00000 1.96034 1.84295 1.65248 1.39647 1.08509 0.73068 0.34730 -0.04986 -0.44504 -0.82257 -1.16749 -1.46610 -1.70658 -1.87939 -1.97766 -1.99751 -1.93815 -1.80194 -1.59427 -1.32337 -1.00000 -0.63697 -0.24869 0.14946 0.54168 0.91242 1.24698 1.53209 1.75644 1.91115 1.99006 1.99006 1.91115 1.75644 1.53209 1.24698 0.91242 0.54168 0.14946 -0.24869 -0.63697 -1.00000 -1.32337 -1.59427 -1.80194 -1.93815 -1.99751 -1.97766 -1.87939 -1.70658 -1.46610 -1.16749 -0.82257 -0.44504 -0.04986 0.34730 0.73068 1.08509 1.39647 1.65248 1.84295 1.96034 2.00000 ... ... ..... ....... TT....... ..TT....... ....TT....... E5 * 2.00000 1.93815 1.75644 1.46610 1.08509 0.63697 0.14946 -0.34730 -0.82257 -1.24698 -1.59427 -1.84295 -1.97766 -1.99006 -1.87939 -1.65248 -1.32337 -0.91242 -0.44504 0.04986 0.54168 1.00000 1.39647 1.70658 1.91115 1.99751 1.96034 1.80194 1.53209 1.16749 0.73068 0.24869 -0.24869 -0.73068 -1.16749 -1.53209 -1.80194 -1.96034 -1.99751 -1.91115 -1.70658 -1.39647 -1.00000 -0.54168 -0.04986 0.44504 0.91242 1.32337 1.65248 1.87939 1.99006 1.97766 1.84295 1.59427 1.24698 0.82257 0.34730 -0.14946 -0.63697 -1.08509 -1.46610 -1.75644 -1.93815 -2.00000 ... ... ..... ....... ......... TT......... ..TT......... 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E8 * 2.00000 1.84295 1.39647 0.73068 -0.04986 -0.82257 -1.46610 -1.87939 -1.99751 -1.80194 -1.32337 -0.63697 0.14946 0.91242 1.53209 1.91115 1.99006 1.75644 1.24698 0.54168 -0.24869 -1.00000 -1.59427 -1.93815 -1.97766 -1.70658 -1.16749 -0.44504 0.34730 1.08509 1.65248 1.96034 1.96034 1.65248 1.08509 0.34730 -0.44504 -1.16749 -1.70658 -1.97766 -1.93815 -1.59427 -1.00000 -0.24869 0.54168 1.24698 1.75644 1.99006 1.91115 1.53209 0.91242 0.14946 -0.63697 -1.32337 -1.80194 -1.99751 -1.87939 -1.46610 -0.82257 -0.04986 0.73068 1.39647 1.84295 2.00000 ... ... ..... ....... ......... ........... ............. E9 * 2.00000 1.80194 1.24698 0.44504 -0.44504 -1.24698 -1.80194 -2.00000 -1.80194 -1.24698 -0.44504 0.44504 1.24698 1.80194 2.00000 1.80194 1.24698 0.44504 -0.44504 -1.24698 -1.80194 -2.00000 -1.80194 -1.24698 -0.44504 0.44504 1.24698 1.80194 2.00000 1.80194 1.24698 0.44504 -0.44504 -1.24698 -1.80194 -2.00000 -1.80194 -1.24698 -0.44504 0.44504 1.24698 1.80194 2.00000 1.80194 1.24698 0.44504 -0.44504 -1.24698 -1.80194 -2.00000 -1.80194 -1.24698 -0.44504 0.44504 1.24698 1.80194 2.00000 1.80194 1.24698 0.44504 -0.44504 -1.24698 -1.80194 -2.00000 ... ... ..... ....... ......... ........... ............. E10 * 2.00000 1.75644 1.08509 0.14946 -0.82257 -1.59427 -1.97766 -1.87939 -1.32337 -0.44504 0.54168 1.39647 1.91115 1.96034 1.53209 0.73068 -0.24869 -1.16749 -1.80194 -1.99751 -1.70658 -1.00000 -0.04986 0.91242 1.65248 1.99006 1.84295 1.24698 0.34730 -0.63697 -1.46610 -1.93815 -1.93815 -1.46610 -0.63697 0.34730 1.24698 1.84295 1.99006 1.65248 0.91242 -0.04986 -1.00000 -1.70658 -1.99751 -1.80194 -1.16749 -0.24869 0.73068 1.53209 1.96034 1.91115 1.39647 0.54168 -0.44504 -1.32337 -1.87939 -1.97766 -1.59427 -0.82257 0.14946 1.08509 1.75644 2.00000 ... ... ..... ....... ......... ........... ............. E11 * 2.00000 1.70658 0.91242 -0.14946 -1.16749 -1.84295 -1.97766 -1.53209 -0.63697 0.44504 1.39647 1.93815 1.91115 1.32337 0.34730 -0.73068 -1.59427 -1.99006 -1.80194 -1.08509 -0.04986 1.00000 1.75644 1.99751 1.65248 0.82257 -0.24869 -1.24698 -1.87939 -1.96034 -1.46610 -0.54168 0.54168 1.46610 1.96034 1.87939 1.24698 0.24869 -0.82257 -1.65248 -1.99751 -1.75644 -1.00000 0.04986 1.08509 1.80194 1.99006 1.59427 0.73068 -0.34730 -1.32337 -1.91115 -1.93815 -1.39647 -0.44504 0.63697 1.53209 1.97766 1.84295 1.16749 0.14946 -0.91242 -1.70658 -2.00000 ... ... ..... ....... ......... ........... ............. E12 * 2.00000 1.65248 0.73068 -0.44504 -1.46610 -1.97766 -1.80194 -1.00000 0.14946 1.24698 1.91115 1.91115 1.24698 0.14946 -1.00000 -1.80194 -1.97766 -1.46610 -0.44504 0.73068 1.65248 2.00000 1.65248 0.73068 -0.44504 -1.46610 -1.97766 -1.80194 -1.00000 0.14946 1.24698 1.91115 1.91115 1.24698 0.14946 -1.00000 -1.80194 -1.97766 -1.46610 -0.44504 0.73068 1.65248 2.00000 1.65248 0.73068 -0.44504 -1.46610 -1.97766 -1.80194 -1.00000 0.14946 1.24698 1.91115 1.91115 1.24698 0.14946 -1.00000 -1.80194 -1.97766 -1.46610 -0.44504 0.73068 1.65248 2.00000 ... ... ..... ....... ......... ........... ............. E13 * 2.00000 1.59427 0.54168 -0.73068 -1.70658 -1.99006 -1.46610 -0.34730 0.91242 1.80194 1.96034 1.32337 0.14946 -1.08509 -1.87939 -1.91115 -1.16749 0.04986 1.24698 1.93815 1.84295 1.00000 -0.24869 -1.39647 -1.97766 -1.75644 -0.82257 0.44504 1.53209 1.99751 1.65248 0.63697 -0.63697 -1.65248 -1.99751 -1.53209 -0.44504 0.82257 1.75644 1.97766 1.39647 0.24869 -1.00000 -1.84295 -1.93815 -1.24698 -0.04986 1.16749 1.91115 1.87939 1.08509 -0.14946 -1.32337 -1.96034 -1.80194 -0.91242 0.34730 1.46610 1.99006 1.70658 0.73068 -0.54168 -1.59427 -2.00000 ... ... ..... ....... ......... ........... ............. E14 * 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 ... ... ..... ....... ......... ........... ............. E15 * 2.00000 1.46610 0.14946 -1.24698 -1.97766 -1.65248 -0.44504 1.00000 1.91115 1.80194 0.73068 -0.73068 -1.80194 -1.91115 -1.00000 0.44504 1.65248 1.97766 1.24698 -0.14946 -1.46610 -2.00000 -1.46610 -0.14946 1.24698 1.97766 1.65248 0.44504 -1.00000 -1.91115 -1.80194 -0.73068 0.73068 1.80194 1.91115 1.00000 -0.44504 -1.65248 -1.97766 -1.24698 0.14946 1.46610 2.00000 1.46610 0.14946 -1.24698 -1.97766 -1.65248 -0.44504 1.00000 1.91115 1.80194 0.73068 -0.73068 -1.80194 -1.91115 -1.00000 0.44504 1.65248 1.97766 1.24698 -0.14946 -1.46610 -2.00000 ... ... ..... ....... ......... ........... ............. E16 * 2.00000 1.39647 -0.04986 -1.46610 -1.99751 -1.32337 0.14946 1.53209 1.99006 1.24698 -0.24869 -1.59427 -1.97766 -1.16749 0.34730 1.65248 1.96034 1.08509 -0.44504 -1.70658 -1.93815 -1.00000 0.54168 1.75644 1.91115 0.91242 -0.63697 -1.80194 -1.87939 -0.82257 0.73068 1.84295 1.84295 0.73068 -0.82257 -1.87939 -1.80194 -0.63697 0.91242 1.91115 1.75644 0.54168 -1.00000 -1.93815 -1.70658 -0.44504 1.08509 1.96034 1.65248 0.34730 -1.16749 -1.97766 -1.59427 -0.24869 1.24698 1.99006 1.53209 0.14946 -1.32337 -1.99751 -1.46610 -0.04986 1.39647 2.00000 ... ... ..... ....... ......... ........... ............. E17 * 2.00000 1.32337 -0.24869 -1.65248 -1.93815 -0.91242 0.73068 1.87939 1.75644 0.44504 -1.16749 -1.99006 -1.46610 0.04986 1.53209 1.97766 1.08509 -0.54168 -1.80194 -1.84295 -0.63697 1.00000 1.96034 1.59427 0.14946 -1.39647 -1.99751 -1.24698 0.34730 1.70658 1.91115 0.82257 -0.82257 -1.91115 -1.70658 -0.34730 1.24698 1.99751 1.39647 -0.14946 -1.59427 -1.96034 -1.00000 0.63697 1.84295 1.80194 0.54168 -1.08509 -1.97766 -1.53209 -0.04986 1.46610 1.99006 1.16749 -0.44504 -1.75644 -1.87939 -0.73068 0.91242 1.93815 1.65248 0.24869 -1.32337 -2.00000 ... ... ..... ....... ......... ........... ............. 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E24 * 2.00000 0.73068 -1.46610 -1.80194 0.14946 1.91115 1.24698 -1.00000 -1.97766 -0.44504 1.65248 1.65248 -0.44504 -1.97766 -1.00000 1.24698 1.91115 0.14946 -1.80194 -1.46610 0.73068 2.00000 0.73068 -1.46610 -1.80194 0.14946 1.91115 1.24698 -1.00000 -1.97766 -0.44504 1.65248 1.65248 -0.44504 -1.97766 -1.00000 1.24698 1.91115 0.14946 -1.80194 -1.46610 0.73068 2.00000 0.73068 -1.46610 -1.80194 0.14946 1.91115 1.24698 -1.00000 -1.97766 -0.44504 1.65248 1.65248 -0.44504 -1.97766 -1.00000 1.24698 1.91115 0.14946 -1.80194 -1.46610 0.73068 2.00000 ... ... ..... ....... ......... ........... ............. E25 * 2.00000 0.63697 -1.59427 -1.65248 0.54168 1.99751 0.73068 -1.53209 -1.70658 0.44504 1.99006 0.82257 -1.46610 -1.75644 0.34730 1.97766 0.91242 -1.39647 -1.80194 0.24869 1.96034 1.00000 -1.32337 -1.84295 0.14946 1.93815 1.08509 -1.24698 -1.87939 0.04986 1.91115 1.16749 -1.16749 -1.91115 -0.04986 1.87939 1.24698 -1.08509 -1.93815 -0.14946 1.84295 1.32337 -1.00000 -1.96034 -0.24869 1.80194 1.39647 -0.91242 -1.97766 -0.34730 1.75644 1.46610 -0.82257 -1.99006 -0.44504 1.70658 1.53209 -0.73068 -1.99751 -0.54168 1.65248 1.59427 -0.63697 -2.00000 ... ... ..... ....... ......... ........... ............. E26 * 2.00000 0.54168 -1.70658 -1.46610 0.91242 1.96034 0.14946 -1.87939 -1.16749 1.24698 1.84295 -0.24869 -1.97766 -0.82257 1.53209 1.65248 -0.63697 -1.99751 -0.44504 1.75644 1.39647 -1.00000 -1.93815 -0.04986 1.91115 1.08509 -1.32337 -1.80194 0.34730 1.99006 0.73068 -1.59427 -1.59427 0.73068 1.99006 0.34730 -1.80194 -1.32337 1.08509 1.91115 -0.04986 -1.93815 -1.00000 1.39647 1.75644 -0.44504 -1.99751 -0.63697 1.65248 1.53209 -0.82257 -1.97766 -0.24869 1.84295 1.24698 -1.16749 -1.87939 0.14946 1.96034 0.91242 -1.46610 -1.70658 0.54168 2.00000 ... ... ..... ....... ......... ........... ............. E27 * 2.00000 0.44504 -1.80194 -1.24698 1.24698 1.80194 -0.44504 -2.00000 -0.44504 1.80194 1.24698 -1.24698 -1.80194 0.44504 2.00000 0.44504 -1.80194 -1.24698 1.24698 1.80194 -0.44504 -2.00000 -0.44504 1.80194 1.24698 -1.24698 -1.80194 0.44504 2.00000 0.44504 -1.80194 -1.24698 1.24698 1.80194 -0.44504 -2.00000 -0.44504 1.80194 1.24698 -1.24698 -1.80194 0.44504 2.00000 0.44504 -1.80194 -1.24698 1.24698 1.80194 -0.44504 -2.00000 -0.44504 1.80194 1.24698 -1.24698 -1.80194 0.44504 2.00000 0.44504 -1.80194 -1.24698 1.24698 1.80194 -0.44504 -2.00000 ... ... ..... ....... ......... ........... ............. E28 * 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 ... ... ..... ....... ......... ........... ............. E29 * 2.00000 0.24869 -1.93815 -0.73068 1.75644 1.16749 -1.46610 -1.53209 1.08509 1.80194 -0.63697 -1.96034 0.14946 1.99751 0.34730 -1.91115 -0.82257 1.70658 1.24698 -1.39647 -1.59427 1.00000 1.84295 -0.54168 -1.97766 0.04986 1.99006 0.44504 -1.87939 -0.91242 1.65248 1.32337 -1.32337 -1.65248 0.91242 1.87939 -0.44504 -1.99006 -0.04986 1.97766 0.54168 -1.84295 -1.00000 1.59427 1.39647 -1.24698 -1.70658 0.82257 1.91115 -0.34730 -1.99751 -0.14946 1.96034 0.63697 -1.80194 -1.08509 1.53209 1.46610 -1.16749 -1.75644 0.73068 1.93815 -0.24869 -2.00000 ... ... ..... ....... ......... ........... ............. E30 * 2.00000 0.14946 -1.97766 -0.44504 1.91115 0.73068 -1.80194 -1.00000 1.65248 1.24698 -1.46610 -1.46610 1.24698 1.65248 -1.00000 -1.80194 0.73068 1.91115 -0.44504 -1.97766 0.14946 2.00000 0.14946 -1.97766 -0.44504 1.91115 0.73068 -1.80194 -1.00000 1.65248 1.24698 -1.46610 -1.46610 1.24698 1.65248 -1.00000 -1.80194 0.73068 1.91115 -0.44504 -1.97766 0.14946 2.00000 0.14946 -1.97766 -0.44504 1.91115 0.73068 -1.80194 -1.00000 1.65248 1.24698 -1.46610 -1.46610 1.24698 1.65248 -1.00000 -1.80194 0.73068 1.91115 -0.44504 -1.97766 0.14946 2.00000 ... ... ..... ....... ......... ........... ............. E31 * 2.00000 0.04986 -1.99751 -0.14946 1.99006 0.24869 -1.97766 -0.34730 1.96034 0.44504 -1.93815 -0.54168 1.91115 0.63697 -1.87939 -0.73068 1.84295 0.82257 -1.80194 -0.91242 1.75644 1.00000 -1.70658 -1.08509 1.65248 1.16749 -1.59427 -1.24698 1.53209 1.32337 -1.46610 -1.39647 1.39647 1.46610 -1.32337 -1.53209 1.24698 1.59427 -1.16749 -1.65248 1.08509 1.70658 -1.00000 -1.75644 0.91242 1.80194 -0.82257 -1.84295 0.73068 1.87939 -0.63697 -1.91115 0.54168 1.93815 -0.44504 -1.96034 0.34730 1.97766 -0.24869 -1.99006 0.14946 1.99751 -0.04986 -2.00000 ... ... ..... ....... ......... ........... ............. E32 * 2.00000 -0.04986 -1.99751 0.14946 1.99006 -0.24869 -1.97766 0.34730 1.96034 -0.44504 -1.93815 0.54168 1.91115 -0.63697 -1.87939 0.73068 1.84295 -0.82257 -1.80194 0.91242 1.75644 -1.00000 -1.70658 1.08509 1.65248 -1.16749 -1.59427 1.24698 1.53209 -1.32337 -1.46610 1.39647 1.39647 -1.46610 -1.32337 1.53209 1.24698 -1.59427 -1.16749 1.65248 1.08509 -1.70658 -1.00000 1.75644 0.91242 -1.80194 -0.82257 1.84295 0.73068 -1.87939 -0.63697 1.91115 0.54168 -1.93815 -0.44504 1.96034 0.34730 -1.97766 -0.24869 1.99006 0.14946 -1.99751 -0.04986 2.00000 ... ... ..... ....... ......... ........... ............. E33 * 2.00000 -0.14946 -1.97766 0.44504 1.91115 -0.73068 -1.80194 1.00000 1.65248 -1.24698 -1.46610 1.46610 1.24698 -1.65248 -1.00000 1.80194 0.73068 -1.91115 -0.44504 1.97766 0.14946 -2.00000 0.14946 1.97766 -0.44504 -1.91115 0.73068 1.80194 -1.00000 -1.65248 1.24698 1.46610 -1.46610 -1.24698 1.65248 1.00000 -1.80194 -0.73068 1.91115 0.44504 -1.97766 -0.14946 2.00000 -0.14946 -1.97766 0.44504 1.91115 -0.73068 -1.80194 1.00000 1.65248 -1.24698 -1.46610 1.46610 1.24698 -1.65248 -1.00000 1.80194 0.73068 -1.91115 -0.44504 1.97766 0.14946 -2.00000 ... ... ..... ....... ......... ........... ............. E34 * 2.00000 -0.24869 -1.93815 0.73068 1.75644 -1.16749 -1.46610 1.53209 1.08509 -1.80194 -0.63697 1.96034 0.14946 -1.99751 0.34730 1.91115 -0.82257 -1.70658 1.24698 1.39647 -1.59427 -1.00000 1.84295 0.54168 -1.97766 -0.04986 1.99006 -0.44504 -1.87939 0.91242 1.65248 -1.32337 -1.32337 1.65248 0.91242 -1.87939 -0.44504 1.99006 -0.04986 -1.97766 0.54168 1.84295 -1.00000 -1.59427 1.39647 1.24698 -1.70658 -0.82257 1.91115 0.34730 -1.99751 0.14946 1.96034 -0.63697 -1.80194 1.08509 1.53209 -1.46610 -1.16749 1.75644 0.73068 -1.93815 -0.24869 2.00000 ... ... ..... ....... ......... ........... ............. E35 * 2.00000 -0.34730 -1.87939 1.00000 1.53209 -1.53209 -1.00000 1.87939 0.34730 -2.00000 0.34730 1.87939 -1.00000 -1.53209 1.53209 1.00000 -1.87939 -0.34730 2.00000 -0.34730 -1.87939 1.00000 1.53209 -1.53209 -1.00000 1.87939 0.34730 -2.00000 0.34730 1.87939 -1.00000 -1.53209 1.53209 1.00000 -1.87939 -0.34730 2.00000 -0.34730 -1.87939 1.00000 1.53209 -1.53209 -1.00000 1.87939 0.34730 -2.00000 0.34730 1.87939 -1.00000 -1.53209 1.53209 1.00000 -1.87939 -0.34730 2.00000 -0.34730 -1.87939 1.00000 1.53209 -1.53209 -1.00000 1.87939 0.34730 -2.00000 ... ... ..... ....... ......... ........... ............. E36 * 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 ... ... ..... ....... ......... ........... ............. E37 * 2.00000 -0.54168 -1.70658 1.46610 0.91242 -1.96034 0.14946 1.87939 -1.16749 -1.24698 1.84295 0.24869 -1.97766 0.82257 1.53209 -1.65248 -0.63697 1.99751 -0.44504 -1.75644 1.39647 1.00000 -1.93815 0.04986 1.91115 -1.08509 -1.32337 1.80194 0.34730 -1.99006 0.73068 1.59427 -1.59427 -0.73068 1.99006 -0.34730 -1.80194 1.32337 1.08509 -1.91115 -0.04986 1.93815 -1.00000 -1.39647 1.75644 0.44504 -1.99751 0.63697 1.65248 -1.53209 -0.82257 1.97766 -0.24869 -1.84295 1.24698 1.16749 -1.87939 -0.14946 1.96034 -0.91242 -1.46610 1.70658 0.54168 -2.00000 ... ... ..... ....... ......... ........... ............. E38 * 2.00000 -0.63697 -1.59427 1.65248 0.54168 -1.99751 0.73068 1.53209 -1.70658 -0.44504 1.99006 -0.82257 -1.46610 1.75644 0.34730 -1.97766 0.91242 1.39647 -1.80194 -0.24869 1.96034 -1.00000 -1.32337 1.84295 0.14946 -1.93815 1.08509 1.24698 -1.87939 -0.04986 1.91115 -1.16749 -1.16749 1.91115 -0.04986 -1.87939 1.24698 1.08509 -1.93815 0.14946 1.84295 -1.32337 -1.00000 1.96034 -0.24869 -1.80194 1.39647 0.91242 -1.97766 0.34730 1.75644 -1.46610 -0.82257 1.99006 -0.44504 -1.70658 1.53209 0.73068 -1.99751 0.54168 1.65248 -1.59427 -0.63697 2.00000 ... ... ..... ....... ......... ........... ............. E39 * 2.00000 -0.73068 -1.46610 1.80194 0.14946 -1.91115 1.24698 1.00000 -1.97766 0.44504 1.65248 -1.65248 -0.44504 1.97766 -1.00000 -1.24698 1.91115 -0.14946 -1.80194 1.46610 0.73068 -2.00000 0.73068 1.46610 -1.80194 -0.14946 1.91115 -1.24698 -1.00000 1.97766 -0.44504 -1.65248 1.65248 0.44504 -1.97766 1.00000 1.24698 -1.91115 0.14946 1.80194 -1.46610 -0.73068 2.00000 -0.73068 -1.46610 1.80194 0.14946 -1.91115 1.24698 1.00000 -1.97766 0.44504 1.65248 -1.65248 -0.44504 1.97766 -1.00000 -1.24698 1.91115 -0.14946 -1.80194 1.46610 0.73068 -2.00000 ... ... ..... ....... ......... ........... ............. E40 * 2.00000 -0.82257 -1.32337 1.91115 -0.24869 -1.70658 1.65248 0.34730 -1.93815 1.24698 0.91242 -1.99751 0.73068 1.39647 -1.87939 0.14946 1.75644 -1.59427 -0.44504 1.96034 -1.16749 -1.00000 1.99006 -0.63697 -1.46610 1.84295 -0.04986 -1.80194 1.53209 0.54168 -1.97766 1.08509 1.08509 -1.97766 0.54168 1.53209 -1.80194 -0.04986 1.84295 -1.46610 -0.63697 1.99006 -1.00000 -1.16749 1.96034 -0.44504 -1.59427 1.75644 0.14946 -1.87939 1.39647 0.73068 -1.99751 0.91242 1.24698 -1.93815 0.34730 1.65248 -1.70658 -0.24869 1.91115 -1.32337 -0.82257 2.00000 ... ... ..... ....... ......... ........... ............. E41 * 2.00000 -0.91242 -1.16749 1.97766 -0.63697 -1.39647 1.91115 -0.34730 -1.59427 1.80194 -0.04986 -1.75644 1.65248 0.24869 -1.87939 1.46610 0.54168 -1.96034 1.24698 0.82257 -1.99751 1.00000 1.08509 -1.99006 0.73068 1.32337 -1.93815 0.44504 1.53209 -1.84295 0.14946 1.70658 -1.70658 -0.14946 1.84295 -1.53209 -0.44504 1.93815 -1.32337 -0.73068 1.99006 -1.08509 -1.00000 1.99751 -0.82257 -1.24698 1.96034 -0.54168 -1.46610 1.87939 -0.24869 -1.65248 1.75644 0.04986 -1.80194 1.59427 0.34730 -1.91115 1.39647 0.63697 -1.97766 1.16749 0.91242 -2.00000 ... ... ..... ....... ......... ........... ............. E42 * 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 ... ... ..... ....... ......... ........... ............. E43 * 2.00000 -1.08509 -0.82257 1.97766 -1.32337 -0.54168 1.91115 -1.53209 -0.24869 1.80194 -1.70658 0.04986 1.65248 -1.84295 0.34730 1.46610 -1.93815 0.63697 1.24698 -1.99006 0.91242 1.00000 -1.99751 1.16749 0.73068 -1.96034 1.39647 0.44504 -1.87939 1.59427 0.14946 -1.75644 1.75644 -0.14946 -1.59427 1.87939 -0.44504 -1.39647 1.96034 -0.73068 -1.16749 1.99751 -1.00000 -0.91242 1.99006 -1.24698 -0.63697 1.93815 -1.46610 -0.34730 1.84295 -1.65248 -0.04986 1.70658 -1.80194 0.24869 1.53209 -1.91115 0.54168 1.32337 -1.97766 0.82257 1.08509 -2.00000 ... ... ..... ....... ......... ........... ............. E44 * 2.00000 -1.16749 -0.63697 1.91115 -1.59427 -0.04986 1.65248 -1.87939 0.54168 1.24698 -1.99751 1.08509 0.73068 -1.93815 1.53209 0.14946 -1.70658 1.84295 -0.44504 -1.32337 1.99006 -1.00000 -0.82257 1.96034 -1.46610 -0.24869 1.75644 -1.80194 0.34730 1.39647 -1.97766 0.91242 0.91242 -1.97766 1.39647 0.34730 -1.80194 1.75644 -0.24869 -1.46610 1.96034 -0.82257 -1.00000 1.99006 -1.32337 -0.44504 1.84295 -1.70658 0.14946 1.53209 -1.93815 0.73068 1.08509 -1.99751 1.24698 0.54168 -1.87939 1.65248 -0.04986 -1.59427 1.91115 -0.63697 -1.16749 2.00000 ... ... ..... ....... ......... ........... ............. 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E46 * 2.00000 -1.32337 -0.24869 1.65248 -1.93815 0.91242 0.73068 -1.87939 1.75644 -0.44504 -1.16749 1.99006 -1.46610 -0.04986 1.53209 -1.97766 1.08509 0.54168 -1.80194 1.84295 -0.63697 -1.00000 1.96034 -1.59427 0.14946 1.39647 -1.99751 1.24698 0.34730 -1.70658 1.91115 -0.82257 -0.82257 1.91115 -1.70658 0.34730 1.24698 -1.99751 1.39647 0.14946 -1.59427 1.96034 -1.00000 -0.63697 1.84295 -1.80194 0.54168 1.08509 -1.97766 1.53209 -0.04986 -1.46610 1.99006 -1.16749 -0.44504 1.75644 -1.87939 0.73068 0.91242 -1.93815 1.65248 -0.24869 -1.32337 2.00000 ... ... ..... ....... ......... ........... ............. 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E48 * 2.00000 -1.46610 0.14946 1.24698 -1.97766 1.65248 -0.44504 -1.00000 1.91115 -1.80194 0.73068 0.73068 -1.80194 1.91115 -1.00000 -0.44504 1.65248 -1.97766 1.24698 0.14946 -1.46610 2.00000 -1.46610 0.14946 1.24698 -1.97766 1.65248 -0.44504 -1.00000 1.91115 -1.80194 0.73068 0.73068 -1.80194 1.91115 -1.00000 -0.44504 1.65248 -1.97766 1.24698 0.14946 -1.46610 2.00000 -1.46610 0.14946 1.24698 -1.97766 1.65248 -0.44504 -1.00000 1.91115 -1.80194 0.73068 0.73068 -1.80194 1.91115 -1.00000 -0.44504 1.65248 -1.97766 1.24698 0.14946 -1.46610 2.00000 ... ... ..... ....... ......... ........... ............. E49 * 2.00000 -1.53209 0.34730 1.00000 -1.87939 1.87939 -1.00000 -0.34730 1.53209 -2.00000 1.53209 -0.34730 -1.00000 1.87939 -1.87939 1.00000 0.34730 -1.53209 2.00000 -1.53209 0.34730 1.00000 -1.87939 1.87939 -1.00000 -0.34730 1.53209 -2.00000 1.53209 -0.34730 -1.00000 1.87939 -1.87939 1.00000 0.34730 -1.53209 2.00000 -1.53209 0.34730 1.00000 -1.87939 1.87939 -1.00000 -0.34730 1.53209 -2.00000 1.53209 -0.34730 -1.00000 1.87939 -1.87939 1.00000 0.34730 -1.53209 2.00000 -1.53209 0.34730 1.00000 -1.87939 1.87939 -1.00000 -0.34730 1.53209 -2.00000 ... ... ..... ....... ......... ........... ............. E50 * 2.00000 -1.59427 0.54168 0.73068 -1.70658 1.99006 -1.46610 0.34730 0.91242 -1.80194 1.96034 -1.32337 0.14946 1.08509 -1.87939 1.91115 -1.16749 -0.04986 1.24698 -1.93815 1.84295 -1.00000 -0.24869 1.39647 -1.97766 1.75644 -0.82257 -0.44504 1.53209 -1.99751 1.65248 -0.63697 -0.63697 1.65248 -1.99751 1.53209 -0.44504 -0.82257 1.75644 -1.97766 1.39647 -0.24869 -1.00000 1.84295 -1.93815 1.24698 -0.04986 -1.16749 1.91115 -1.87939 1.08509 0.14946 -1.32337 1.96034 -1.80194 0.91242 0.34730 -1.46610 1.99006 -1.70658 0.73068 0.54168 -1.59427 2.00000 ... ... ..... ....... ......... ........... ............. E51 * 2.00000 -1.65248 0.73068 0.44504 -1.46610 1.97766 -1.80194 1.00000 0.14946 -1.24698 1.91115 -1.91115 1.24698 -0.14946 -1.00000 1.80194 -1.97766 1.46610 -0.44504 -0.73068 1.65248 -2.00000 1.65248 -0.73068 -0.44504 1.46610 -1.97766 1.80194 -1.00000 -0.14946 1.24698 -1.91115 1.91115 -1.24698 0.14946 1.00000 -1.80194 1.97766 -1.46610 0.44504 0.73068 -1.65248 2.00000 -1.65248 0.73068 0.44504 -1.46610 1.97766 -1.80194 1.00000 0.14946 -1.24698 1.91115 -1.91115 1.24698 -0.14946 -1.00000 1.80194 -1.97766 1.46610 -0.44504 -0.73068 1.65248 -2.00000 ... ... ..... ....... ......... ........... ............. E52 * 2.00000 -1.70658 0.91242 0.14946 -1.16749 1.84295 -1.97766 1.53209 -0.63697 -0.44504 1.39647 -1.93815 1.91115 -1.32337 0.34730 0.73068 -1.59427 1.99006 -1.80194 1.08509 -0.04986 -1.00000 1.75644 -1.99751 1.65248 -0.82257 -0.24869 1.24698 -1.87939 1.96034 -1.46610 0.54168 0.54168 -1.46610 1.96034 -1.87939 1.24698 -0.24869 -0.82257 1.65248 -1.99751 1.75644 -1.00000 -0.04986 1.08509 -1.80194 1.99006 -1.59427 0.73068 0.34730 -1.32337 1.91115 -1.93815 1.39647 -0.44504 -0.63697 1.53209 -1.97766 1.84295 -1.16749 0.14946 0.91242 -1.70658 2.00000 ... ... ..... ....... ......... ........... ............. E53 * 2.00000 -1.75644 1.08509 -0.14946 -0.82257 1.59427 -1.97766 1.87939 -1.32337 0.44504 0.54168 -1.39647 1.91115 -1.96034 1.53209 -0.73068 -0.24869 1.16749 -1.80194 1.99751 -1.70658 1.00000 -0.04986 -0.91242 1.65248 -1.99006 1.84295 -1.24698 0.34730 0.63697 -1.46610 1.93815 -1.93815 1.46610 -0.63697 -0.34730 1.24698 -1.84295 1.99006 -1.65248 0.91242 0.04986 -1.00000 1.70658 -1.99751 1.80194 -1.16749 0.24869 0.73068 -1.53209 1.96034 -1.91115 1.39647 -0.54168 -0.44504 1.32337 -1.87939 1.97766 -1.59427 0.82257 0.14946 -1.08509 1.75644 -2.00000 ... ... ..... ....... ......... ........... ............. E54 * 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 ... ... ..... ....... ......... ........... ............. E55 * 2.00000 -1.84295 1.39647 -0.73068 -0.04986 0.82257 -1.46610 1.87939 -1.99751 1.80194 -1.32337 0.63697 0.14946 -0.91242 1.53209 -1.91115 1.99006 -1.75644 1.24698 -0.54168 -0.24869 1.00000 -1.59427 1.93815 -1.97766 1.70658 -1.16749 0.44504 0.34730 -1.08509 1.65248 -1.96034 1.96034 -1.65248 1.08509 -0.34730 -0.44504 1.16749 -1.70658 1.97766 -1.93815 1.59427 -1.00000 0.24869 0.54168 -1.24698 1.75644 -1.99006 1.91115 -1.53209 0.91242 -0.14946 -0.63697 1.32337 -1.80194 1.99751 -1.87939 1.46610 -0.82257 0.04986 0.73068 -1.39647 1.84295 -2.00000 ... ... ..... ....... ......... ........... ............. E56 * 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 ... ... ..... ....... ......... ........... ............. E57 * 2.00000 -1.91115 1.65248 -1.24698 0.73068 -0.14946 -0.44504 1.00000 -1.46610 1.80194 -1.97766 1.97766 -1.80194 1.46610 -1.00000 0.44504 0.14946 -0.73068 1.24698 -1.65248 1.91115 -2.00000 1.91115 -1.65248 1.24698 -0.73068 0.14946 0.44504 -1.00000 1.46610 -1.80194 1.97766 -1.97766 1.80194 -1.46610 1.00000 -0.44504 -0.14946 0.73068 -1.24698 1.65248 -1.91115 2.00000 -1.91115 1.65248 -1.24698 0.73068 -0.14946 -0.44504 1.00000 -1.46610 1.80194 -1.97766 1.97766 -1.80194 1.46610 -1.00000 0.44504 0.14946 -0.73068 1.24698 -1.65248 1.91115 -2.00000 ... ... ..... ....... ......... ........... ............. E58 * 2.00000 -1.93815 1.75644 -1.46610 1.08509 -0.63697 0.14946 0.34730 -0.82257 1.24698 -1.59427 1.84295 -1.97766 1.99006 -1.87939 1.65248 -1.32337 0.91242 -0.44504 -0.04986 0.54168 -1.00000 1.39647 -1.70658 1.91115 -1.99751 1.96034 -1.80194 1.53209 -1.16749 0.73068 -0.24869 -0.24869 0.73068 -1.16749 1.53209 -1.80194 1.96034 -1.99751 1.91115 -1.70658 1.39647 -1.00000 0.54168 -0.04986 -0.44504 0.91242 -1.32337 1.65248 -1.87939 1.99006 -1.97766 1.84295 -1.59427 1.24698 -0.82257 0.34730 0.14946 -0.63697 1.08509 -1.46610 1.75644 -1.93815 2.00000 ... ... ..... ....... ......... ........... ............. E59 * 2.00000 -1.96034 1.84295 -1.65248 1.39647 -1.08509 0.73068 -0.34730 -0.04986 0.44504 -0.82257 1.16749 -1.46610 1.70658 -1.87939 1.97766 -1.99751 1.93815 -1.80194 1.59427 -1.32337 1.00000 -0.63697 0.24869 0.14946 -0.54168 0.91242 -1.24698 1.53209 -1.75644 1.91115 -1.99006 1.99006 -1.91115 1.75644 -1.53209 1.24698 -0.91242 0.54168 -0.14946 -0.24869 0.63697 -1.00000 1.32337 -1.59427 1.80194 -1.93815 1.99751 -1.97766 1.87939 -1.70658 1.46610 -1.16749 0.82257 -0.44504 0.04986 0.34730 -0.73068 1.08509 -1.39647 1.65248 -1.84295 1.96034 -2.00000 ... ... ..... ....... ......... ........... ............. E60 * 2.00000 -1.97766 1.91115 -1.80194 1.65248 -1.46610 1.24698 -1.00000 0.73068 -0.44504 0.14946 0.14946 -0.44504 0.73068 -1.00000 1.24698 -1.46610 1.65248 -1.80194 1.91115 -1.97766 2.00000 -1.97766 1.91115 -1.80194 1.65248 -1.46610 1.24698 -1.00000 0.73068 -0.44504 0.14946 0.14946 -0.44504 0.73068 -1.00000 1.24698 -1.46610 1.65248 -1.80194 1.91115 -1.97766 2.00000 -1.97766 1.91115 -1.80194 1.65248 -1.46610 1.24698 -1.00000 0.73068 -0.44504 0.14946 0.14946 -0.44504 0.73068 -1.00000 1.24698 -1.46610 1.65248 -1.80194 1.91115 -1.97766 2.00000 ... ... ..... ....... ......... ........... ............. E61 * 2.00000 -1.99006 1.96034 -1.91115 1.84295 -1.75644 1.65248 -1.53209 1.39647 -1.24698 1.08509 -0.91242 0.73068 -0.54168 0.34730 -0.14946 -0.04986 0.24869 -0.44504 0.63697 -0.82257 1.00000 -1.16749 1.32337 -1.46610 1.59427 -1.70658 1.80194 -1.87939 1.93815 -1.97766 1.99751 -1.99751 1.97766 -1.93815 1.87939 -1.80194 1.70658 -1.59427 1.46610 -1.32337 1.16749 -1.00000 0.82257 -0.63697 0.44504 -0.24869 0.04986 0.14946 -0.34730 0.54168 -0.73068 0.91242 -1.08509 1.24698 -1.39647 1.53209 -1.65248 1.75644 -1.84295 1.91115 -1.96034 1.99006 -2.00000 ... ... ..... ....... ......... ........... ............. E62 * 2.00000 -1.99751 1.99006 -1.97766 1.96034 -1.93815 1.91115 -1.87939 1.84295 -1.80194 1.75644 -1.70658 1.65248 -1.59427 1.53209 -1.46610 1.39647 -1.32337 1.24698 -1.16749 1.08509 -1.00000 0.91242 -0.82257 0.73068 -0.63697 0.54168 -0.44504 0.34730 -0.24869 0.14946 -0.04986 -0.04986 0.14946 -0.24869 0.34730 -0.44504 0.54168 -0.63697 0.73068 -0.82257 0.91242 -1.00000 1.08509 -1.16749 1.24698 -1.32337 1.39647 -1.46610 1.53209 -1.59427 1.65248 -1.70658 1.75644 -1.80194 1.84295 -1.87939 1.91115 -1.93815 1.96034 -1.97766 1.99006 -1.99751 2.00000 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.997513842438 = 2*cos(2*π/126) = 2*cos(π/63) 1.990061550731 = 2*cos(4*π/126) = 2*cos(2*π/63) 1.977661652450 = 2*cos(6*π/126) = 2*cos(π/21) 1.960344975697 = 2*cos(8*π/126) = 2*cos(4*π/63) 1.938154572458 = 2*cos(10*π/126) = 2*cos(5*π/63) 1.911145611572 = 2*cos(12*π/126) = 2*cos(2*π/21) 1.879385241572 = 2*cos(14*π/126) = 2*cos(π/9) 1.842952423741 = 2*cos(16*π/126) = 2*cos(8*π/63) 1.801937735805 = 2*cos(18*π/126) = 2*cos(π/7) 1.756443146740 = 2*cos(20*π/126) = 2*cos(10*π/63) 1.706581763264 = 2*cos(22*π/126) = 2*cos(11*π/63) 1.652477548632 = 2*cos(24*π/126) = 2*cos(4*π/21) 1.594265014446 = 2*cos(26*π/126) = 2*cos(13*π/63) 1.532088886238 = 2*cos(28*π/126) = 2*cos(2*π/9) 1.466103743660 = 2*cos(30*π/126) = 2*cos(5*π/21) 1.396473636172 = 2*cos(32*π/126) = 2*cos(16*π/63) 1.323371675194 = 2*cos(34*π/126) = 2*cos(17*π/63) 1.246979603717 = 2*cos(36*π/126) = 2*cos(2*π/7) 1.167487344470 = 2*cos(38*π/126) = 2*cos(19*π/63) 1.085092527732 = 2*cos(40*π/126) = 2*cos(20*π/63) 0.912421314706 = 2*cos(44*π/126) = 2*cos(22*π/63) 0.822574206261 = 2*cos(46*π/126) = 2*cos(23*π/63) 0.730682048733 = 2*cos(48*π/126) = 2*cos(8*π/21) 0.636973300503 = 2*cos(50*π/126) = 2*cos(25*π/63) 0.541680936286 = 2*cos(52*π/126) = 2*cos(26*π/63) 0.445041867913 = 2*cos(54*π/126) = 2*cos(3*π/7) 0.347296355334 = 2*cos(56*π/126) = 2*cos(4*π/9) 0.248687409295 = 2*cos(58*π/126) = 2*cos(29*π/63) 0.149460187173 = 2*cos(60*π/126) = 2*cos(10*π/21) 0.049861383476 = 2*cos(62*π/126) = 2*cos(31*π/63) 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 C126 point group is 126, and the order of the principal axis (C126) is 126. The group has 64 irreducible representations. β The C126 point group is isomorphic to S126 and C63h. γ The C126 point group is generated by one single symmetry element, C126. Therefore, it is a cyclic group. δ The lowest nonvanishing multipole moment in C126 is 2 (dipole moment). ε This is an Abelian point group (the commutative law holds between all symmetry operations). The C126 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 124 cases have been combined into 62 two-dimensional representations that are no longer irreducible but have real-valued characters. Accordingly, 62 pairs of left and right rotations have been combined into one two-membered pseudo-class each. η The 62 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. κ The point group corresponds to a polygon inconstructible by the classical means of ruler and compass. Yet it becomes constructible if angle trisection is allowed, e.g., with neusis construction or origami. This is because the order of the principal axis is given by a product of any number of different Pierpont primes (...,5,7,13,17,19,37,73,97,109,163,...) times arbitrary powers of two and three. All characters of this group can be expressed using complex numbers, elementary arithmetic operations, square roots and third roots.
C124 | ||
C125 | ||
C126 | C126v C126h D126 D126h D126d S126 | |
C127 | ||
C128 |
This Character Table for the C126 point group was created by Gernot Katzer.
For other groups and some explanations, see the Main Page.