C106 E 2 C106 2 C53 2 C106^3 2 C53^2 2 C106^5 2 C53^3 2 C106^7 2 C53^4 2 C106^9 2 C53^5 2 C106^11 2 C53^6 2 C106^13 2 C53^7 2 C106^15 2 C53^8 2 C106^17 2 C53^9 2 C106^19 2 C53^10 2 C106^21 2 C53^11 2 C106^23 2 C53^12 2 C106^25 2 C53^13 2 C106^27 2 C53^14 2 C106^29 2 C53^15 2 C106^31 2 C53^16 2 C106^33 2 C53^17 2 C106^35 2 C53^18 2 C106^37 2 C53^19 2 C106^39 2 C53^20 2 C106^41 2 C53^21 2 C106^43 2 C53^22 2 C106^45 2 C53^23 2 C106^47 2 C53^24 2 C106^49 2 C53^25 2 C106^51 2 C53^26 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 ..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 ... ... ..... ....... ......... ........... ............. E1 * 2.00000 1.99649 1.98596 1.96846 1.94405 1.91280 1.87484 1.83029 1.77931 1.72209 1.65881 1.58971 1.51502 1.43501 1.34997 1.26018 1.16596 1.06765 0.96558 0.86013 0.75166 0.64054 0.52717 0.41196 0.29529 0.17759 0.05927 -0.05927 -0.17759 -0.29529 -0.41196 -0.52717 -0.64054 -0.75166 -0.86013 -0.96558 -1.06765 -1.16596 -1.26018 -1.34997 -1.43501 -1.51502 -1.58971 -1.65881 -1.72209 -1.77931 -1.83029 -1.87484 -1.91280 -1.94405 -1.96846 -1.98596 -1.99649 -2.00000 TT. TT. ..TT. ....TT. ......TT. ........TT. ..........TT. E2 * 2.00000 1.98596 1.94405 1.87484 1.77931 1.65881 1.51502 1.34997 1.16596 0.96558 0.75166 0.52717 0.29529 0.05927 -0.17759 -0.41196 -0.64054 -0.86013 -1.06765 -1.26018 -1.43501 -1.58971 -1.72209 -1.83029 -1.91280 -1.96846 -1.99649 -1.99649 -1.96846 -1.91280 -1.83029 -1.72209 -1.58971 -1.43501 -1.26018 -1.06765 -0.86013 -0.64054 -0.41196 -0.17759 0.05927 0.29529 0.52717 0.75166 0.96558 1.16596 1.34997 1.51502 1.65881 1.77931 1.87484 1.94405 1.98596 2.00000 ... ... TT... ..TT... ....TT... ......TT... ........TT... E3 * 2.00000 1.96846 1.87484 1.72209 1.51502 1.26018 0.96558 0.64054 0.29529 -0.05927 -0.41196 -0.75166 -1.06765 -1.34997 -1.58971 -1.77931 -1.91280 -1.98596 -1.99649 -1.94405 -1.83029 -1.65881 -1.43501 -1.16596 -0.86013 -0.52717 -0.17759 0.17759 0.52717 0.86013 1.16596 1.43501 1.65881 1.83029 1.94405 1.99649 1.98596 1.91280 1.77931 1.58971 1.34997 1.06765 0.75166 0.41196 0.05927 -0.29529 -0.64054 -0.96558 -1.26018 -1.51502 -1.72209 -1.87484 -1.96846 -2.00000 ... ... ..... TT..... ..TT..... ....TT..... ......TT..... E4 * 2.00000 1.94405 1.77931 1.51502 1.16596 0.75166 0.29529 -0.17759 -0.64054 -1.06765 -1.43501 -1.72209 -1.91280 -1.99649 -1.96846 -1.83029 -1.58971 -1.26018 -0.86013 -0.41196 0.05927 0.52717 0.96558 1.34997 1.65881 1.87484 1.98596 1.98596 1.87484 1.65881 1.34997 0.96558 0.52717 0.05927 -0.41196 -0.86013 -1.26018 -1.58971 -1.83029 -1.96846 -1.99649 -1.91280 -1.72209 -1.43501 -1.06765 -0.64054 -0.17759 0.29529 0.75166 1.16596 1.51502 1.77931 1.94405 2.00000 ... ... ..... ....... TT....... ..TT....... ....TT....... E5 * 2.00000 1.91280 1.65881 1.26018 0.75166 0.17759 -0.41196 -0.96558 -1.43501 -1.77931 -1.96846 -1.98596 -1.83029 -1.51502 -1.06765 -0.52717 0.05927 0.64054 1.16596 1.58971 1.87484 1.99649 1.94405 1.72209 1.34997 0.86013 0.29529 -0.29529 -0.86013 -1.34997 -1.72209 -1.94405 -1.99649 -1.87484 -1.58971 -1.16596 -0.64054 -0.05927 0.52717 1.06765 1.51502 1.83029 1.98596 1.96846 1.77931 1.43501 0.96558 0.41196 -0.17759 -0.75166 -1.26018 -1.65881 -1.91280 -2.00000 ... ... ..... ....... ......... TT......... ..TT......... E6 * 2.00000 1.87484 1.51502 0.96558 0.29529 -0.41196 -1.06765 -1.58971 -1.91280 -1.99649 -1.83029 -1.43501 -0.86013 -0.17759 0.52717 1.16596 1.65881 1.94405 1.98596 1.77931 1.34997 0.75166 0.05927 -0.64054 -1.26018 -1.72209 -1.96846 -1.96846 -1.72209 -1.26018 -0.64054 0.05927 0.75166 1.34997 1.77931 1.98596 1.94405 1.65881 1.16596 0.52717 -0.17759 -0.86013 -1.43501 -1.83029 -1.99649 -1.91280 -1.58971 -1.06765 -0.41196 0.29529 0.96558 1.51502 1.87484 2.00000 ... ... ..... ....... ......... ........... TT........... E7 * 2.00000 1.83029 1.34997 0.64054 -0.17759 -0.96558 -1.58971 -1.94405 -1.96846 -1.65881 -1.06765 -0.29529 0.52717 1.26018 1.77931 1.99649 1.87484 1.43501 0.75166 -0.05927 -0.86013 -1.51502 -1.91280 -1.98596 -1.72209 -1.16596 -0.41196 0.41196 1.16596 1.72209 1.98596 1.91280 1.51502 0.86013 0.05927 -0.75166 -1.43501 -1.87484 -1.99649 -1.77931 -1.26018 -0.52717 0.29529 1.06765 1.65881 1.96846 1.94405 1.58971 0.96558 0.17759 -0.64054 -1.34997 -1.83029 -2.00000 ... ... ..... ....... ......... ........... ............. E8 * 2.00000 1.77931 1.16596 0.29529 -0.64054 -1.43501 -1.91280 -1.96846 -1.58971 -0.86013 0.05927 0.96558 1.65881 1.98596 1.87484 1.34997 0.52717 -0.41196 -1.26018 -1.83029 -1.99649 -1.72209 -1.06765 -0.17759 0.75166 1.51502 1.94405 1.94405 1.51502 0.75166 -0.17759 -1.06765 -1.72209 -1.99649 -1.83029 -1.26018 -0.41196 0.52717 1.34997 1.87484 1.98596 1.65881 0.96558 0.05927 -0.86013 -1.58971 -1.96846 -1.91280 -1.43501 -0.64054 0.29529 1.16596 1.77931 2.00000 ... ... ..... ....... ......... ........... ............. E9 * 2.00000 1.72209 0.96558 -0.05927 -1.06765 -1.77931 -1.99649 -1.65881 -0.86013 0.17759 1.16596 1.83029 1.98596 1.58971 0.75166 -0.29529 -1.26018 -1.87484 -1.96846 -1.51502 -0.64054 0.41196 1.34997 1.91280 1.94405 1.43501 0.52717 -0.52717 -1.43501 -1.94405 -1.91280 -1.34997 -0.41196 0.64054 1.51502 1.96846 1.87484 1.26018 0.29529 -0.75166 -1.58971 -1.98596 -1.83029 -1.16596 -0.17759 0.86013 1.65881 1.99649 1.77931 1.06765 0.05927 -0.96558 -1.72209 -2.00000 ... ... ..... ....... ......... ........... ............. E10 * 2.00000 1.65881 0.75166 -0.41196 -1.43501 -1.96846 -1.83029 -1.06765 0.05927 1.16596 1.87484 1.94405 1.34997 0.29529 -0.86013 -1.72209 -1.99649 -1.58971 -0.64054 0.52717 1.51502 1.98596 1.77931 0.96558 -0.17759 -1.26018 -1.91280 -1.91280 -1.26018 -0.17759 0.96558 1.77931 1.98596 1.51502 0.52717 -0.64054 -1.58971 -1.99649 -1.72209 -0.86013 0.29529 1.34997 1.94405 1.87484 1.16596 0.05927 -1.06765 -1.83029 -1.96846 -1.43501 -0.41196 0.75166 1.65881 2.00000 ... ... ..... ....... ......... ........... ............. E11 * 2.00000 1.58971 0.52717 -0.75166 -1.72209 -1.98596 -1.43501 -0.29529 0.96558 1.83029 1.94405 1.26018 0.05927 -1.16596 -1.91280 -1.87484 -1.06765 0.17759 1.34997 1.96846 1.77931 0.86013 -0.41196 -1.51502 -1.99649 -1.65881 -0.64054 0.64054 1.65881 1.99649 1.51502 0.41196 -0.86013 -1.77931 -1.96846 -1.34997 -0.17759 1.06765 1.87484 1.91280 1.16596 -0.05927 -1.26018 -1.94405 -1.83029 -0.96558 0.29529 1.43501 1.98596 1.72209 0.75166 -0.52717 -1.58971 -2.00000 ... ... ..... ....... ......... ........... ............. E12 * 2.00000 1.51502 0.29529 -1.06765 -1.91280 -1.83029 -0.86013 0.52717 1.65881 1.98596 1.34997 0.05927 -1.26018 -1.96846 -1.72209 -0.64054 0.75166 1.77931 1.94405 1.16596 -0.17759 -1.43501 -1.99649 -1.58971 -0.41196 0.96558 1.87484 1.87484 0.96558 -0.41196 -1.58971 -1.99649 -1.43501 -0.17759 1.16596 1.94405 1.77931 0.75166 -0.64054 -1.72209 -1.96846 -1.26018 0.05927 1.34997 1.98596 1.65881 0.52717 -0.86013 -1.83029 -1.91280 -1.06765 0.29529 1.51502 2.00000 ... ... ..... ....... ......... ........... ............. E13 * 2.00000 1.43501 0.05927 -1.34997 -1.99649 -1.51502 -0.17759 1.26018 1.98596 1.58971 0.29529 -1.16596 -1.96846 -1.65881 -0.41196 1.06765 1.94405 1.72209 0.52717 -0.96558 -1.91280 -1.77931 -0.64054 0.86013 1.87484 1.83029 0.75166 -0.75166 -1.83029 -1.87484 -0.86013 0.64054 1.77931 1.91280 0.96558 -0.52717 -1.72209 -1.94405 -1.06765 0.41196 1.65881 1.96846 1.16596 -0.29529 -1.58971 -1.98596 -1.26018 0.17759 1.51502 1.99649 1.34997 -0.05927 -1.43501 -2.00000 ... ... ..... ....... ......... ........... ............. E14 * 2.00000 1.34997 -0.17759 -1.58971 -1.96846 -1.06765 0.52717 1.77931 1.87484 0.75166 -0.86013 -1.91280 -1.72209 -0.41196 1.16596 1.98596 1.51502 0.05927 -1.43501 -1.99649 -1.26018 0.29529 1.65881 1.94405 0.96558 -0.64054 -1.83029 -1.83029 -0.64054 0.96558 1.94405 1.65881 0.29529 -1.26018 -1.99649 -1.43501 0.05927 1.51502 1.98596 1.16596 -0.41196 -1.72209 -1.91280 -0.86013 0.75166 1.87484 1.77931 0.52717 -1.06765 -1.96846 -1.58971 -0.17759 1.34997 2.00000 ... ... ..... ....... ......... ........... ............. E15 * 2.00000 1.26018 -0.41196 -1.77931 -1.83029 -0.52717 1.16596 1.99649 1.34997 -0.29529 -1.72209 -1.87484 -0.64054 1.06765 1.98596 1.43501 -0.17759 -1.65881 -1.91280 -0.75166 0.96558 1.96846 1.51502 -0.05927 -1.58971 -1.94405 -0.86013 0.86013 1.94405 1.58971 0.05927 -1.51502 -1.96846 -0.96558 0.75166 1.91280 1.65881 0.17759 -1.43501 -1.98596 -1.06765 0.64054 1.87484 1.72209 0.29529 -1.34997 -1.99649 -1.16596 0.52717 1.83029 1.77931 0.41196 -1.26018 -2.00000 ... ... ..... ....... ......... ........... ............. E16 * 2.00000 1.16596 -0.64054 -1.91280 -1.58971 0.05927 1.65881 1.87484 0.52717 -1.26018 -1.99649 -1.06765 0.75166 1.94405 1.51502 -0.17759 -1.72209 -1.83029 -0.41196 1.34997 1.98596 0.96558 -0.86013 -1.96846 -1.43501 0.29529 1.77931 1.77931 0.29529 -1.43501 -1.96846 -0.86013 0.96558 1.98596 1.34997 -0.41196 -1.83029 -1.72209 -0.17759 1.51502 1.94405 0.75166 -1.06765 -1.99649 -1.26018 0.52717 1.87484 1.65881 0.05927 -1.58971 -1.91280 -0.64054 1.16596 2.00000 ... ... ..... ....... ......... ........... ............. E17 * 2.00000 1.06765 -0.86013 -1.98596 -1.26018 0.64054 1.94405 1.43501 -0.41196 -1.87484 -1.58971 0.17759 1.77931 1.72209 0.05927 -1.65881 -1.83029 -0.29529 1.51502 1.91280 0.52717 -1.34997 -1.96846 -0.75166 1.16596 1.99649 0.96558 -0.96558 -1.99649 -1.16596 0.75166 1.96846 1.34997 -0.52717 -1.91280 -1.51502 0.29529 1.83029 1.65881 -0.05927 -1.72209 -1.77931 -0.17759 1.58971 1.87484 0.41196 -1.43501 -1.94405 -0.64054 1.26018 1.98596 0.86013 -1.06765 -2.00000 ... ... ..... ....... ......... ........... ............. E18 * 2.00000 0.96558 -1.06765 -1.99649 -0.86013 1.16596 1.98596 0.75166 -1.26018 -1.96846 -0.64054 1.34997 1.94405 0.52717 -1.43501 -1.91280 -0.41196 1.51502 1.87484 0.29529 -1.58971 -1.83029 -0.17759 1.65881 1.77931 0.05927 -1.72209 -1.72209 0.05927 1.77931 1.65881 -0.17759 -1.83029 -1.58971 0.29529 1.87484 1.51502 -0.41196 -1.91280 -1.43501 0.52717 1.94405 1.34997 -0.64054 -1.96846 -1.26018 0.75166 1.98596 1.16596 -0.86013 -1.99649 -1.06765 0.96558 2.00000 ... ... ..... ....... ......... ........... ............. E19 * 2.00000 0.86013 -1.26018 -1.94405 -0.41196 1.58971 1.77931 -0.05927 -1.83029 -1.51502 0.52717 1.96846 1.16596 -0.96558 -1.99649 -0.75166 1.34997 1.91280 0.29529 -1.65881 -1.72209 0.17759 1.87484 1.43501 -0.64054 -1.98596 -1.06765 1.06765 1.98596 0.64054 -1.43501 -1.87484 -0.17759 1.72209 1.65881 -0.29529 -1.91280 -1.34997 0.75166 1.99649 0.96558 -1.16596 -1.96846 -0.52717 1.51502 1.83029 0.05927 -1.77931 -1.58971 0.41196 1.94405 1.26018 -0.86013 -2.00000 ... ... ..... ....... ......... ........... ............. E20 * 2.00000 0.75166 -1.43501 -1.83029 0.05927 1.87484 1.34997 -0.86013 -1.99649 -0.64054 1.51502 1.77931 -0.17759 -1.91280 -1.26018 0.96558 1.98596 0.52717 -1.58971 -1.72209 0.29529 1.94405 1.16596 -1.06765 -1.96846 -0.41196 1.65881 1.65881 -0.41196 -1.96846 -1.06765 1.16596 1.94405 0.29529 -1.72209 -1.58971 0.52717 1.98596 0.96558 -1.26018 -1.91280 -0.17759 1.77931 1.51502 -0.64054 -1.99649 -0.86013 1.34997 1.87484 0.05927 -1.83029 -1.43501 0.75166 2.00000 ... ... ..... ....... ......... ........... ............. E21 * 2.00000 0.64054 -1.58971 -1.65881 0.52717 1.99649 0.75166 -1.51502 -1.72209 0.41196 1.98596 0.86013 -1.43501 -1.77931 0.29529 1.96846 0.96558 -1.34997 -1.83029 0.17759 1.94405 1.06765 -1.26018 -1.87484 0.05927 1.91280 1.16596 -1.16596 -1.91280 -0.05927 1.87484 1.26018 -1.06765 -1.94405 -0.17759 1.83029 1.34997 -0.96558 -1.96846 -0.29529 1.77931 1.43501 -0.86013 -1.98596 -0.41196 1.72209 1.51502 -0.75166 -1.99649 -0.52717 1.65881 1.58971 -0.64054 -2.00000 ... ... ..... ....... ......... ........... ............. E22 * 2.00000 0.52717 -1.72209 -1.43501 0.96558 1.94405 0.05927 -1.91280 -1.06765 1.34997 1.77931 -0.41196 -1.99649 -0.64054 1.65881 1.51502 -0.86013 -1.96846 -0.17759 1.87484 1.16596 -1.26018 -1.83029 0.29529 1.98596 0.75166 -1.58971 -1.58971 0.75166 1.98596 0.29529 -1.83029 -1.26018 1.16596 1.87484 -0.17759 -1.96846 -0.86013 1.51502 1.65881 -0.64054 -1.99649 -0.41196 1.77931 1.34997 -1.06765 -1.91280 0.05927 1.94405 0.96558 -1.43501 -1.72209 0.52717 2.00000 ... ... ..... ....... ......... ........... ............. E23 * 2.00000 0.41196 -1.83029 -1.16596 1.34997 1.72209 -0.64054 -1.98596 -0.17759 1.91280 0.96558 -1.51502 -1.58971 0.86013 1.94405 -0.05927 -1.96846 -0.75166 1.65881 1.43501 -1.06765 -1.87484 0.29529 1.99649 0.52717 -1.77931 -1.26018 1.26018 1.77931 -0.52717 -1.99649 -0.29529 1.87484 1.06765 -1.43501 -1.65881 0.75166 1.96846 0.05927 -1.94405 -0.86013 1.58971 1.51502 -0.96558 -1.91280 0.17759 1.98596 0.64054 -1.72209 -1.34997 1.16596 1.83029 -0.41196 -2.00000 ... ... ..... ....... ......... ........... ............. E24 * 2.00000 0.29529 -1.91280 -0.86013 1.65881 1.34997 -1.26018 -1.72209 0.75166 1.94405 -0.17759 -1.99649 -0.41196 1.87484 0.96558 -1.58971 -1.43501 1.16596 1.77931 -0.64054 -1.96846 0.05927 1.98596 0.52717 -1.83029 -1.06765 1.51502 1.51502 -1.06765 -1.83029 0.52717 1.98596 0.05927 -1.96846 -0.64054 1.77931 1.16596 -1.43501 -1.58971 0.96558 1.87484 -0.41196 -1.99649 -0.17759 1.94405 0.75166 -1.72209 -1.26018 1.34997 1.65881 -0.86013 -1.91280 0.29529 2.00000 ... ... ..... ....... ......... ........... ............. E25 * 2.00000 0.17759 -1.96846 -0.52717 1.87484 0.86013 -1.72209 -1.16596 1.51502 1.43501 -1.26018 -1.65881 0.96558 1.83029 -0.64054 -1.94405 0.29529 1.99649 0.05927 -1.98596 -0.41196 1.91280 0.75166 -1.77931 -1.06765 1.58971 1.34997 -1.34997 -1.58971 1.06765 1.77931 -0.75166 -1.91280 0.41196 1.98596 -0.05927 -1.99649 -0.29529 1.94405 0.64054 -1.83029 -0.96558 1.65881 1.26018 -1.43501 -1.51502 1.16596 1.72209 -0.86013 -1.87484 0.52717 1.96846 -0.17759 -2.00000 ... ... ..... ....... ......... ........... ............. E26 * 2.00000 0.05927 -1.99649 -0.17759 1.98596 0.29529 -1.96846 -0.41196 1.94405 0.52717 -1.91280 -0.64054 1.87484 0.75166 -1.83029 -0.86013 1.77931 0.96558 -1.72209 -1.06765 1.65881 1.16596 -1.58971 -1.26018 1.51502 1.34997 -1.43501 -1.43501 1.34997 1.51502 -1.26018 -1.58971 1.16596 1.65881 -1.06765 -1.72209 0.96558 1.77931 -0.86013 -1.83029 0.75166 1.87484 -0.64054 -1.91280 0.52717 1.94405 -0.41196 -1.96846 0.29529 1.98596 -0.17759 -1.99649 0.05927 2.00000 ... ... ..... ....... ......... ........... ............. E27 * 2.00000 -0.05927 -1.99649 0.17759 1.98596 -0.29529 -1.96846 0.41196 1.94405 -0.52717 -1.91280 0.64054 1.87484 -0.75166 -1.83029 0.86013 1.77931 -0.96558 -1.72209 1.06765 1.65881 -1.16596 -1.58971 1.26018 1.51502 -1.34997 -1.43501 1.43501 1.34997 -1.51502 -1.26018 1.58971 1.16596 -1.65881 -1.06765 1.72209 0.96558 -1.77931 -0.86013 1.83029 0.75166 -1.87484 -0.64054 1.91280 0.52717 -1.94405 -0.41196 1.96846 0.29529 -1.98596 -0.17759 1.99649 0.05927 -2.00000 ... ... ..... ....... ......... ........... ............. E28 * 2.00000 -0.17759 -1.96846 0.52717 1.87484 -0.86013 -1.72209 1.16596 1.51502 -1.43501 -1.26018 1.65881 0.96558 -1.83029 -0.64054 1.94405 0.29529 -1.99649 0.05927 1.98596 -0.41196 -1.91280 0.75166 1.77931 -1.06765 -1.58971 1.34997 1.34997 -1.58971 -1.06765 1.77931 0.75166 -1.91280 -0.41196 1.98596 0.05927 -1.99649 0.29529 1.94405 -0.64054 -1.83029 0.96558 1.65881 -1.26018 -1.43501 1.51502 1.16596 -1.72209 -0.86013 1.87484 0.52717 -1.96846 -0.17759 2.00000 ... ... ..... ....... ......... ........... ............. E29 * 2.00000 -0.29529 -1.91280 0.86013 1.65881 -1.34997 -1.26018 1.72209 0.75166 -1.94405 -0.17759 1.99649 -0.41196 -1.87484 0.96558 1.58971 -1.43501 -1.16596 1.77931 0.64054 -1.96846 -0.05927 1.98596 -0.52717 -1.83029 1.06765 1.51502 -1.51502 -1.06765 1.83029 0.52717 -1.98596 0.05927 1.96846 -0.64054 -1.77931 1.16596 1.43501 -1.58971 -0.96558 1.87484 0.41196 -1.99649 0.17759 1.94405 -0.75166 -1.72209 1.26018 1.34997 -1.65881 -0.86013 1.91280 0.29529 -2.00000 ... ... ..... ....... ......... ........... ............. E30 * 2.00000 -0.41196 -1.83029 1.16596 1.34997 -1.72209 -0.64054 1.98596 -0.17759 -1.91280 0.96558 1.51502 -1.58971 -0.86013 1.94405 0.05927 -1.96846 0.75166 1.65881 -1.43501 -1.06765 1.87484 0.29529 -1.99649 0.52717 1.77931 -1.26018 -1.26018 1.77931 0.52717 -1.99649 0.29529 1.87484 -1.06765 -1.43501 1.65881 0.75166 -1.96846 0.05927 1.94405 -0.86013 -1.58971 1.51502 0.96558 -1.91280 -0.17759 1.98596 -0.64054 -1.72209 1.34997 1.16596 -1.83029 -0.41196 2.00000 ... ... ..... ....... ......... ........... ............. E31 * 2.00000 -0.52717 -1.72209 1.43501 0.96558 -1.94405 0.05927 1.91280 -1.06765 -1.34997 1.77931 0.41196 -1.99649 0.64054 1.65881 -1.51502 -0.86013 1.96846 -0.17759 -1.87484 1.16596 1.26018 -1.83029 -0.29529 1.98596 -0.75166 -1.58971 1.58971 0.75166 -1.98596 0.29529 1.83029 -1.26018 -1.16596 1.87484 0.17759 -1.96846 0.86013 1.51502 -1.65881 -0.64054 1.99649 -0.41196 -1.77931 1.34997 1.06765 -1.91280 -0.05927 1.94405 -0.96558 -1.43501 1.72209 0.52717 -2.00000 ... ... ..... ....... ......... ........... ............. E32 * 2.00000 -0.64054 -1.58971 1.65881 0.52717 -1.99649 0.75166 1.51502 -1.72209 -0.41196 1.98596 -0.86013 -1.43501 1.77931 0.29529 -1.96846 0.96558 1.34997 -1.83029 -0.17759 1.94405 -1.06765 -1.26018 1.87484 0.05927 -1.91280 1.16596 1.16596 -1.91280 0.05927 1.87484 -1.26018 -1.06765 1.94405 -0.17759 -1.83029 1.34997 0.96558 -1.96846 0.29529 1.77931 -1.43501 -0.86013 1.98596 -0.41196 -1.72209 1.51502 0.75166 -1.99649 0.52717 1.65881 -1.58971 -0.64054 2.00000 ... ... ..... ....... ......... ........... ............. E33 * 2.00000 -0.75166 -1.43501 1.83029 0.05927 -1.87484 1.34997 0.86013 -1.99649 0.64054 1.51502 -1.77931 -0.17759 1.91280 -1.26018 -0.96558 1.98596 -0.52717 -1.58971 1.72209 0.29529 -1.94405 1.16596 1.06765 -1.96846 0.41196 1.65881 -1.65881 -0.41196 1.96846 -1.06765 -1.16596 1.94405 -0.29529 -1.72209 1.58971 0.52717 -1.98596 0.96558 1.26018 -1.91280 0.17759 1.77931 -1.51502 -0.64054 1.99649 -0.86013 -1.34997 1.87484 -0.05927 -1.83029 1.43501 0.75166 -2.00000 ... ... ..... ....... ......... ........... ............. E34 * 2.00000 -0.86013 -1.26018 1.94405 -0.41196 -1.58971 1.77931 0.05927 -1.83029 1.51502 0.52717 -1.96846 1.16596 0.96558 -1.99649 0.75166 1.34997 -1.91280 0.29529 1.65881 -1.72209 -0.17759 1.87484 -1.43501 -0.64054 1.98596 -1.06765 -1.06765 1.98596 -0.64054 -1.43501 1.87484 -0.17759 -1.72209 1.65881 0.29529 -1.91280 1.34997 0.75166 -1.99649 0.96558 1.16596 -1.96846 0.52717 1.51502 -1.83029 0.05927 1.77931 -1.58971 -0.41196 1.94405 -1.26018 -0.86013 2.00000 ... ... ..... ....... ......... ........... ............. E35 * 2.00000 -0.96558 -1.06765 1.99649 -0.86013 -1.16596 1.98596 -0.75166 -1.26018 1.96846 -0.64054 -1.34997 1.94405 -0.52717 -1.43501 1.91280 -0.41196 -1.51502 1.87484 -0.29529 -1.58971 1.83029 -0.17759 -1.65881 1.77931 -0.05927 -1.72209 1.72209 0.05927 -1.77931 1.65881 0.17759 -1.83029 1.58971 0.29529 -1.87484 1.51502 0.41196 -1.91280 1.43501 0.52717 -1.94405 1.34997 0.64054 -1.96846 1.26018 0.75166 -1.98596 1.16596 0.86013 -1.99649 1.06765 0.96558 -2.00000 ... ... ..... ....... ......... ........... ............. E36 * 2.00000 -1.06765 -0.86013 1.98596 -1.26018 -0.64054 1.94405 -1.43501 -0.41196 1.87484 -1.58971 -0.17759 1.77931 -1.72209 0.05927 1.65881 -1.83029 0.29529 1.51502 -1.91280 0.52717 1.34997 -1.96846 0.75166 1.16596 -1.99649 0.96558 0.96558 -1.99649 1.16596 0.75166 -1.96846 1.34997 0.52717 -1.91280 1.51502 0.29529 -1.83029 1.65881 0.05927 -1.72209 1.77931 -0.17759 -1.58971 1.87484 -0.41196 -1.43501 1.94405 -0.64054 -1.26018 1.98596 -0.86013 -1.06765 2.00000 ... ... ..... ....... ......... ........... ............. E37 * 2.00000 -1.16596 -0.64054 1.91280 -1.58971 -0.05927 1.65881 -1.87484 0.52717 1.26018 -1.99649 1.06765 0.75166 -1.94405 1.51502 0.17759 -1.72209 1.83029 -0.41196 -1.34997 1.98596 -0.96558 -0.86013 1.96846 -1.43501 -0.29529 1.77931 -1.77931 0.29529 1.43501 -1.96846 0.86013 0.96558 -1.98596 1.34997 0.41196 -1.83029 1.72209 -0.17759 -1.51502 1.94405 -0.75166 -1.06765 1.99649 -1.26018 -0.52717 1.87484 -1.65881 0.05927 1.58971 -1.91280 0.64054 1.16596 -2.00000 ... ... ..... ....... ......... ........... ............. E38 * 2.00000 -1.26018 -0.41196 1.77931 -1.83029 0.52717 1.16596 -1.99649 1.34997 0.29529 -1.72209 1.87484 -0.64054 -1.06765 1.98596 -1.43501 -0.17759 1.65881 -1.91280 0.75166 0.96558 -1.96846 1.51502 0.05927 -1.58971 1.94405 -0.86013 -0.86013 1.94405 -1.58971 0.05927 1.51502 -1.96846 0.96558 0.75166 -1.91280 1.65881 -0.17759 -1.43501 1.98596 -1.06765 -0.64054 1.87484 -1.72209 0.29529 1.34997 -1.99649 1.16596 0.52717 -1.83029 1.77931 -0.41196 -1.26018 2.00000 ... ... ..... ....... ......... ........... ............. E39 * 2.00000 -1.34997 -0.17759 1.58971 -1.96846 1.06765 0.52717 -1.77931 1.87484 -0.75166 -0.86013 1.91280 -1.72209 0.41196 1.16596 -1.98596 1.51502 -0.05927 -1.43501 1.99649 -1.26018 -0.29529 1.65881 -1.94405 0.96558 0.64054 -1.83029 1.83029 -0.64054 -0.96558 1.94405 -1.65881 0.29529 1.26018 -1.99649 1.43501 0.05927 -1.51502 1.98596 -1.16596 -0.41196 1.72209 -1.91280 0.86013 0.75166 -1.87484 1.77931 -0.52717 -1.06765 1.96846 -1.58971 0.17759 1.34997 -2.00000 ... ... ..... ....... ......... ........... ............. E40 * 2.00000 -1.43501 0.05927 1.34997 -1.99649 1.51502 -0.17759 -1.26018 1.98596 -1.58971 0.29529 1.16596 -1.96846 1.65881 -0.41196 -1.06765 1.94405 -1.72209 0.52717 0.96558 -1.91280 1.77931 -0.64054 -0.86013 1.87484 -1.83029 0.75166 0.75166 -1.83029 1.87484 -0.86013 -0.64054 1.77931 -1.91280 0.96558 0.52717 -1.72209 1.94405 -1.06765 -0.41196 1.65881 -1.96846 1.16596 0.29529 -1.58971 1.98596 -1.26018 -0.17759 1.51502 -1.99649 1.34997 0.05927 -1.43501 2.00000 ... ... ..... ....... ......... ........... ............. E41 * 2.00000 -1.51502 0.29529 1.06765 -1.91280 1.83029 -0.86013 -0.52717 1.65881 -1.98596 1.34997 -0.05927 -1.26018 1.96846 -1.72209 0.64054 0.75166 -1.77931 1.94405 -1.16596 -0.17759 1.43501 -1.99649 1.58971 -0.41196 -0.96558 1.87484 -1.87484 0.96558 0.41196 -1.58971 1.99649 -1.43501 0.17759 1.16596 -1.94405 1.77931 -0.75166 -0.64054 1.72209 -1.96846 1.26018 0.05927 -1.34997 1.98596 -1.65881 0.52717 0.86013 -1.83029 1.91280 -1.06765 -0.29529 1.51502 -2.00000 ... ... ..... ....... ......... ........... ............. E42 * 2.00000 -1.58971 0.52717 0.75166 -1.72209 1.98596 -1.43501 0.29529 0.96558 -1.83029 1.94405 -1.26018 0.05927 1.16596 -1.91280 1.87484 -1.06765 -0.17759 1.34997 -1.96846 1.77931 -0.86013 -0.41196 1.51502 -1.99649 1.65881 -0.64054 -0.64054 1.65881 -1.99649 1.51502 -0.41196 -0.86013 1.77931 -1.96846 1.34997 -0.17759 -1.06765 1.87484 -1.91280 1.16596 0.05927 -1.26018 1.94405 -1.83029 0.96558 0.29529 -1.43501 1.98596 -1.72209 0.75166 0.52717 -1.58971 2.00000 ... ... ..... ....... ......... ........... ............. E43 * 2.00000 -1.65881 0.75166 0.41196 -1.43501 1.96846 -1.83029 1.06765 0.05927 -1.16596 1.87484 -1.94405 1.34997 -0.29529 -0.86013 1.72209 -1.99649 1.58971 -0.64054 -0.52717 1.51502 -1.98596 1.77931 -0.96558 -0.17759 1.26018 -1.91280 1.91280 -1.26018 0.17759 0.96558 -1.77931 1.98596 -1.51502 0.52717 0.64054 -1.58971 1.99649 -1.72209 0.86013 0.29529 -1.34997 1.94405 -1.87484 1.16596 -0.05927 -1.06765 1.83029 -1.96846 1.43501 -0.41196 -0.75166 1.65881 -2.00000 ... ... ..... ....... ......... ........... ............. E44 * 2.00000 -1.72209 0.96558 0.05927 -1.06765 1.77931 -1.99649 1.65881 -0.86013 -0.17759 1.16596 -1.83029 1.98596 -1.58971 0.75166 0.29529 -1.26018 1.87484 -1.96846 1.51502 -0.64054 -0.41196 1.34997 -1.91280 1.94405 -1.43501 0.52717 0.52717 -1.43501 1.94405 -1.91280 1.34997 -0.41196 -0.64054 1.51502 -1.96846 1.87484 -1.26018 0.29529 0.75166 -1.58971 1.98596 -1.83029 1.16596 -0.17759 -0.86013 1.65881 -1.99649 1.77931 -1.06765 0.05927 0.96558 -1.72209 2.00000 ... ... ..... ....... ......... ........... ............. E45 * 2.00000 -1.77931 1.16596 -0.29529 -0.64054 1.43501 -1.91280 1.96846 -1.58971 0.86013 0.05927 -0.96558 1.65881 -1.98596 1.87484 -1.34997 0.52717 0.41196 -1.26018 1.83029 -1.99649 1.72209 -1.06765 0.17759 0.75166 -1.51502 1.94405 -1.94405 1.51502 -0.75166 -0.17759 1.06765 -1.72209 1.99649 -1.83029 1.26018 -0.41196 -0.52717 1.34997 -1.87484 1.98596 -1.65881 0.96558 -0.05927 -0.86013 1.58971 -1.96846 1.91280 -1.43501 0.64054 0.29529 -1.16596 1.77931 -2.00000 ... ... ..... ....... ......... ........... ............. E46 * 2.00000 -1.83029 1.34997 -0.64054 -0.17759 0.96558 -1.58971 1.94405 -1.96846 1.65881 -1.06765 0.29529 0.52717 -1.26018 1.77931 -1.99649 1.87484 -1.43501 0.75166 0.05927 -0.86013 1.51502 -1.91280 1.98596 -1.72209 1.16596 -0.41196 -0.41196 1.16596 -1.72209 1.98596 -1.91280 1.51502 -0.86013 0.05927 0.75166 -1.43501 1.87484 -1.99649 1.77931 -1.26018 0.52717 0.29529 -1.06765 1.65881 -1.96846 1.94405 -1.58971 0.96558 -0.17759 -0.64054 1.34997 -1.83029 2.00000 ... ... ..... ....... ......... ........... ............. E47 * 2.00000 -1.87484 1.51502 -0.96558 0.29529 0.41196 -1.06765 1.58971 -1.91280 1.99649 -1.83029 1.43501 -0.86013 0.17759 0.52717 -1.16596 1.65881 -1.94405 1.98596 -1.77931 1.34997 -0.75166 0.05927 0.64054 -1.26018 1.72209 -1.96846 1.96846 -1.72209 1.26018 -0.64054 -0.05927 0.75166 -1.34997 1.77931 -1.98596 1.94405 -1.65881 1.16596 -0.52717 -0.17759 0.86013 -1.43501 1.83029 -1.99649 1.91280 -1.58971 1.06765 -0.41196 -0.29529 0.96558 -1.51502 1.87484 -2.00000 ... ... ..... ....... ......... ........... ............. E48 * 2.00000 -1.91280 1.65881 -1.26018 0.75166 -0.17759 -0.41196 0.96558 -1.43501 1.77931 -1.96846 1.98596 -1.83029 1.51502 -1.06765 0.52717 0.05927 -0.64054 1.16596 -1.58971 1.87484 -1.99649 1.94405 -1.72209 1.34997 -0.86013 0.29529 0.29529 -0.86013 1.34997 -1.72209 1.94405 -1.99649 1.87484 -1.58971 1.16596 -0.64054 0.05927 0.52717 -1.06765 1.51502 -1.83029 1.98596 -1.96846 1.77931 -1.43501 0.96558 -0.41196 -0.17759 0.75166 -1.26018 1.65881 -1.91280 2.00000 ... ... ..... ....... ......... ........... ............. E49 * 2.00000 -1.94405 1.77931 -1.51502 1.16596 -0.75166 0.29529 0.17759 -0.64054 1.06765 -1.43501 1.72209 -1.91280 1.99649 -1.96846 1.83029 -1.58971 1.26018 -0.86013 0.41196 0.05927 -0.52717 0.96558 -1.34997 1.65881 -1.87484 1.98596 -1.98596 1.87484 -1.65881 1.34997 -0.96558 0.52717 -0.05927 -0.41196 0.86013 -1.26018 1.58971 -1.83029 1.96846 -1.99649 1.91280 -1.72209 1.43501 -1.06765 0.64054 -0.17759 -0.29529 0.75166 -1.16596 1.51502 -1.77931 1.94405 -2.00000 ... ... ..... ....... ......... ........... ............. E50 * 2.00000 -1.96846 1.87484 -1.72209 1.51502 -1.26018 0.96558 -0.64054 0.29529 0.05927 -0.41196 0.75166 -1.06765 1.34997 -1.58971 1.77931 -1.91280 1.98596 -1.99649 1.94405 -1.83029 1.65881 -1.43501 1.16596 -0.86013 0.52717 -0.17759 -0.17759 0.52717 -0.86013 1.16596 -1.43501 1.65881 -1.83029 1.94405 -1.99649 1.98596 -1.91280 1.77931 -1.58971 1.34997 -1.06765 0.75166 -0.41196 0.05927 0.29529 -0.64054 0.96558 -1.26018 1.51502 -1.72209 1.87484 -1.96846 2.00000 ... ... ..... ....... ......... ........... ............. E51 * 2.00000 -1.98596 1.94405 -1.87484 1.77931 -1.65881 1.51502 -1.34997 1.16596 -0.96558 0.75166 -0.52717 0.29529 -0.05927 -0.17759 0.41196 -0.64054 0.86013 -1.06765 1.26018 -1.43501 1.58971 -1.72209 1.83029 -1.91280 1.96846 -1.99649 1.99649 -1.96846 1.91280 -1.83029 1.72209 -1.58971 1.43501 -1.26018 1.06765 -0.86013 0.64054 -0.41196 0.17759 0.05927 -0.29529 0.52717 -0.75166 0.96558 -1.16596 1.34997 -1.51502 1.65881 -1.77931 1.87484 -1.94405 1.98596 -2.00000 ... ... ..... ....... ......... ........... ............. E52 * 2.00000 -1.99649 1.98596 -1.96846 1.94405 -1.91280 1.87484 -1.83029 1.77931 -1.72209 1.65881 -1.58971 1.51502 -1.43501 1.34997 -1.26018 1.16596 -1.06765 0.96558 -0.86013 0.75166 -0.64054 0.52717 -0.41196 0.29529 -0.17759 0.05927 0.05927 -0.17759 0.29529 -0.41196 0.52717 -0.64054 0.75166 -0.86013 0.96558 -1.06765 1.16596 -1.26018 1.34997 -1.43501 1.51502 -1.58971 1.65881 -1.72209 1.77931 -1.83029 1.87484 -1.91280 1.94405 -1.96846 1.98596 -1.99649 2.00000 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.996487463529 = 2*cos(2*π/106) = 2*cos(π/53) 1.985962192027 = 2*cos(4*π/106) = 2*cos(2*π/53) 1.968461155895 = 2*cos(6*π/106) = 2*cos(3*π/53) 1.944045828161 = 2*cos(8*π/106) = 2*cos(4*π/53) 1.912801968553 = 2*cos(10*π/106) = 2*cos(5*π/53) 1.874839322268 = 2*cos(12*π/106) = 2*cos(6*π/53) 1.830291234486 = 2*cos(14*π/106) = 2*cos(7*π/53) 1.779314181989 = 2*cos(16*π/106) = 2*cos(8*π/53) 1.722087223535 = 2*cos(18*π/106) = 2*cos(9*π/53) 1.658811370900 = 2*cos(20*π/106) = 2*cos(10*π/53) 1.589708882827 = 2*cos(22*π/106) = 2*cos(11*π/53) 1.515022484323 = 2*cos(24*π/106) = 2*cos(12*π/53) 1.435014514089 = 2*cos(26*π/106) = 2*cos(13*π/53) 1.349966003036 = 2*cos(28*π/106) = 2*cos(14*π/53) 1.260175687163 = 2*cos(30*π/106) = 2*cos(15*π/53) 1.165958958229 = 2*cos(32*π/106) = 2*cos(16*π/53) 1.067646755930 = 2*cos(34*π/106) = 2*cos(17*π/53) 0.965584405461 = 2*cos(36*π/106) = 2*cos(18*π/53) 0.860130404553 = 2*cos(38*π/106) = 2*cos(19*π/53) 0.751655164228 = 2*cos(40*π/106) = 2*cos(20*π/53) 0.640539707726 = 2*cos(42*π/106) = 2*cos(21*π/53) 0.527174332138 = 2*cos(44*π/106) = 2*cos(22*π/53) 0.411957237482 = 2*cos(46*π/106) = 2*cos(23*π/53) 0.295293128005 = 2*cos(48*π/106) = 2*cos(24*π/53) 0.177591790646 = 2*cos(50*π/106) = 2*cos(25*π/53) 0.059266655645 = 2*cos(52*π/106) = 2*cos(26*π/53) 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 C106 point group is 106, and the order of the principal axis (C106) is 106. The group has 54 irreducible representations. β The C106 point group is isomorphic to S106 and C53h. γ The C106 point group is generated by one single symmetry element, C106. Therefore, it is a cyclic group. δ The lowest nonvanishing multipole moment in C106 is 2 (dipole moment). ε This is an Abelian point group (the commutative law holds between all symmetry operations). The C106 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 104 cases have been combined into 52 two-dimensional representations that are no longer irreducible but have real-valued characters. Accordingly, 52 pairs of left and right rotations have been combined into one two-membered pseudo-class each. η The 52 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.
| C104 | ||
| C105 | ||
| C106 | C106v C106h D106 D106h D106d S106 | |
| C107 | ||
| C108 |
This Character Table for the C106 point group was created by Gernot Katzer.
For other groups and some explanations, see the Main Page.