C118 E 2 C118 2 C59 2 C118^3 2 C59^2 2 C118^5 2 C59^3 2 C118^7 2 C59^4 2 C118^9 2 C59^5 2 C118^11 2 C59^6 2 C118^13 2 C59^7 2 C118^15 2 C59^8 2 C118^17 2 C59^9 2 C118^19 2 C59^10 2 C118^21 2 C59^11 2 C118^23 2 C59^12 2 C118^25 2 C59^13 2 C118^27 2 C59^14 2 C118^29 2 C59^15 2 C118^31 2 C59^16 2 C118^33 2 C59^17 2 C118^35 2 C59^18 2 C118^37 2 C59^19 2 C118^39 2 C59^20 2 C118^41 2 C59^21 2 C118^43 2 C59^22 2 C118^45 2 C59^23 2 C118^47 2 C59^24 2 C118^49 2 C59^25 2 C118^51 2 C59^26 2 C118^53 2 C59^27 2 C118^55 2 C59^28 2 C118^57 2 C59^29 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 ..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 ... ... ..... ....... ......... ........... ............. E1 * 2.00000 1.99717 1.98867 1.97454 1.95481 1.92954 1.89880 1.86267 1.82127 1.77470 1.72311 1.66663 1.60542 1.53967 1.46955 1.39526 1.31702 1.23505 1.14957 1.06084 0.96910 0.87461 0.77765 0.67848 0.57738 0.47465 0.37058 0.26545 0.15957 0.05324 -0.05324 -0.15957 -0.26545 -0.37058 -0.47465 -0.57738 -0.67848 -0.77765 -0.87461 -0.96910 -1.06084 -1.14957 -1.23505 -1.31702 -1.39526 -1.46955 -1.53967 -1.60542 -1.66663 -1.72311 -1.77470 -1.82127 -1.86267 -1.89880 -1.92954 -1.95481 -1.97454 -1.98867 -1.99717 -2.00000 TT. TT. ..TT. ....TT. ......TT. ........TT. ..........TT. E2 * 2.00000 1.98867 1.95481 1.89880 1.82127 1.72311 1.60542 1.46955 1.31702 1.14957 0.96910 0.77765 0.57738 0.37058 0.15957 -0.05324 -0.26545 -0.47465 -0.67848 -0.87461 -1.06084 -1.23505 -1.39526 -1.53967 -1.66663 -1.77470 -1.86267 -1.92954 -1.97454 -1.99717 -1.99717 -1.97454 -1.92954 -1.86267 -1.77470 -1.66663 -1.53967 -1.39526 -1.23505 -1.06084 -0.87461 -0.67848 -0.47465 -0.26545 -0.05324 0.15957 0.37058 0.57738 0.77765 0.96910 1.14957 1.31702 1.46955 1.60542 1.72311 1.82127 1.89880 1.95481 1.98867 2.00000 ... ... TT... ..TT... ....TT... ......TT... ........TT... E3 * 2.00000 1.97454 1.89880 1.77470 1.60542 1.39526 1.14957 0.87461 0.57738 0.26545 -0.05324 -0.37058 -0.67848 -0.96910 -1.23505 -1.46955 -1.66663 -1.82127 -1.92954 -1.98867 -1.99717 -1.95481 -1.86267 -1.72311 -1.53967 -1.31702 -1.06084 -0.77765 -0.47465 -0.15957 0.15957 0.47465 0.77765 1.06084 1.31702 1.53967 1.72311 1.86267 1.95481 1.99717 1.98867 1.92954 1.82127 1.66663 1.46955 1.23505 0.96910 0.67848 0.37058 0.05324 -0.26545 -0.57738 -0.87461 -1.14957 -1.39526 -1.60542 -1.77470 -1.89880 -1.97454 -2.00000 ... ... ..... TT..... ..TT..... ....TT..... ......TT..... E4 * 2.00000 1.95481 1.82127 1.60542 1.31702 0.96910 0.57738 0.15957 -0.26545 -0.67848 -1.06084 -1.39526 -1.66663 -1.86267 -1.97454 -1.99717 -1.92954 -1.77470 -1.53967 -1.23505 -0.87461 -0.47465 -0.05324 0.37058 0.77765 1.14957 1.46955 1.72311 1.89880 1.98867 1.98867 1.89880 1.72311 1.46955 1.14957 0.77765 0.37058 -0.05324 -0.47465 -0.87461 -1.23505 -1.53967 -1.77470 -1.92954 -1.99717 -1.97454 -1.86267 -1.66663 -1.39526 -1.06084 -0.67848 -0.26545 0.15957 0.57738 0.96910 1.31702 1.60542 1.82127 1.95481 2.00000 ... ... ..... ....... TT....... ..TT....... ....TT....... E5 * 2.00000 1.92954 1.72311 1.39526 0.96910 0.47465 -0.05324 -0.57738 -1.06084 -1.46955 -1.77470 -1.95481 -1.99717 -1.89880 -1.66663 -1.31702 -0.87461 -0.37058 0.15957 0.67848 1.14957 1.53967 1.82127 1.97454 1.98867 1.86267 1.60542 1.23505 0.77765 0.26545 -0.26545 -0.77765 -1.23505 -1.60542 -1.86267 -1.98867 -1.97454 -1.82127 -1.53967 -1.14957 -0.67848 -0.15957 0.37058 0.87461 1.31702 1.66663 1.89880 1.99717 1.95481 1.77470 1.46955 1.06084 0.57738 0.05324 -0.47465 -0.96910 -1.39526 -1.72311 -1.92954 -2.00000 ... ... ..... ....... ......... TT......... ..TT......... E6 * 2.00000 1.89880 1.60542 1.14957 0.57738 -0.05324 -0.67848 -1.23505 -1.66663 -1.92954 -1.99717 -1.86267 -1.53967 -1.06084 -0.47465 0.15957 0.77765 1.31702 1.72311 1.95481 1.98867 1.82127 1.46955 0.96910 0.37058 -0.26545 -0.87461 -1.39526 -1.77470 -1.97454 -1.97454 -1.77470 -1.39526 -0.87461 -0.26545 0.37058 0.96910 1.46955 1.82127 1.98867 1.95481 1.72311 1.31702 0.77765 0.15957 -0.47465 -1.06084 -1.53967 -1.86267 -1.99717 -1.92954 -1.66663 -1.23505 -0.67848 -0.05324 0.57738 1.14957 1.60542 1.89880 2.00000 ... ... ..... ....... ......... ........... TT........... E7 * 2.00000 1.86267 1.46955 0.87461 0.15957 -0.57738 -1.23505 -1.72311 -1.97454 -1.95481 -1.66663 -1.14957 -0.47465 0.26545 0.96910 1.53967 1.89880 1.99717 1.82127 1.39526 0.77765 0.05324 -0.67848 -1.31702 -1.77470 -1.98867 -1.92954 -1.60542 -1.06084 -0.37058 0.37058 1.06084 1.60542 1.92954 1.98867 1.77470 1.31702 0.67848 -0.05324 -0.77765 -1.39526 -1.82127 -1.99717 -1.89880 -1.53967 -0.96910 -0.26545 0.47465 1.14957 1.66663 1.95481 1.97454 1.72311 1.23505 0.57738 -0.15957 -0.87461 -1.46955 -1.86267 -2.00000 ... ... ..... ....... ......... ........... ............. E8 * 2.00000 1.82127 1.31702 0.57738 -0.26545 -1.06084 -1.66663 -1.97454 -1.92954 -1.53967 -0.87461 -0.05324 0.77765 1.46955 1.89880 1.98867 1.72311 1.14957 0.37058 -0.47465 -1.23505 -1.77470 -1.99717 -1.86267 -1.39526 -0.67848 0.15957 0.96910 1.60542 1.95481 1.95481 1.60542 0.96910 0.15957 -0.67848 -1.39526 -1.86267 -1.99717 -1.77470 -1.23505 -0.47465 0.37058 1.14957 1.72311 1.98867 1.89880 1.46955 0.77765 -0.05324 -0.87461 -1.53967 -1.92954 -1.97454 -1.66663 -1.06084 -0.26545 0.57738 1.31702 1.82127 2.00000 ... ... ..... ....... ......... ........... ............. E9 * 2.00000 1.77470 1.14957 0.26545 -0.67848 -1.46955 -1.92954 -1.95481 -1.53967 -0.77765 0.15957 1.06084 1.72311 1.99717 1.82127 1.23505 0.37058 -0.57738 -1.39526 -1.89880 -1.97454 -1.60542 -0.87461 0.05324 0.96910 1.66663 1.98867 1.86267 1.31702 0.47465 -0.47465 -1.31702 -1.86267 -1.98867 -1.66663 -0.96910 -0.05324 0.87461 1.60542 1.97454 1.89880 1.39526 0.57738 -0.37058 -1.23505 -1.82127 -1.99717 -1.72311 -1.06084 -0.15957 0.77765 1.53967 1.95481 1.92954 1.46955 0.67848 -0.26545 -1.14957 -1.77470 -2.00000 ... ... ..... ....... ......... ........... ............. E10 * 2.00000 1.72311 0.96910 -0.05324 -1.06084 -1.77470 -1.99717 -1.66663 -0.87461 0.15957 1.14957 1.82127 1.98867 1.60542 0.77765 -0.26545 -1.23505 -1.86267 -1.97454 -1.53967 -0.67848 0.37058 1.31702 1.89880 1.95481 1.46955 0.57738 -0.47465 -1.39526 -1.92954 -1.92954 -1.39526 -0.47465 0.57738 1.46955 1.95481 1.89880 1.31702 0.37058 -0.67848 -1.53967 -1.97454 -1.86267 -1.23505 -0.26545 0.77765 1.60542 1.98867 1.82127 1.14957 0.15957 -0.87461 -1.66663 -1.99717 -1.77470 -1.06084 -0.05324 0.96910 1.72311 2.00000 ... ... ..... ....... ......... ........... ............. E11 * 2.00000 1.66663 0.77765 -0.37058 -1.39526 -1.95481 -1.86267 -1.14957 -0.05324 1.06084 1.82127 1.97454 1.46955 0.47465 -0.67848 -1.60542 -1.99717 -1.72311 -0.87461 0.26545 1.31702 1.92954 1.89880 1.23505 0.15957 -0.96910 -1.77470 -1.98867 -1.53967 -0.57738 0.57738 1.53967 1.98867 1.77470 0.96910 -0.15957 -1.23505 -1.89880 -1.92954 -1.31702 -0.26545 0.87461 1.72311 1.99717 1.60542 0.67848 -0.47465 -1.46955 -1.97454 -1.82127 -1.06084 0.05324 1.14957 1.86267 1.95481 1.39526 0.37058 -0.77765 -1.66663 -2.00000 ... ... ..... ....... ......... ........... ............. E12 * 2.00000 1.60542 0.57738 -0.67848 -1.66663 -1.99717 -1.53967 -0.47465 0.77765 1.72311 1.98867 1.46955 0.37058 -0.87461 -1.77470 -1.97454 -1.39526 -0.26545 0.96910 1.82127 1.95481 1.31702 0.15957 -1.06084 -1.86267 -1.92954 -1.23505 -0.05324 1.14957 1.89880 1.89880 1.14957 -0.05324 -1.23505 -1.92954 -1.86267 -1.06084 0.15957 1.31702 1.95481 1.82127 0.96910 -0.26545 -1.39526 -1.97454 -1.77470 -0.87461 0.37058 1.46955 1.98867 1.72311 0.77765 -0.47465 -1.53967 -1.99717 -1.66663 -0.67848 0.57738 1.60542 2.00000 ... ... ..... ....... ......... ........... ............. E13 * 2.00000 1.53967 0.37058 -0.96910 -1.86267 -1.89880 -1.06084 0.26545 1.46955 1.99717 1.60542 0.47465 -0.87461 -1.82127 -1.92954 -1.14957 0.15957 1.39526 1.98867 1.66663 0.57738 -0.77765 -1.77470 -1.95481 -1.23505 0.05324 1.31702 1.97454 1.72311 0.67848 -0.67848 -1.72311 -1.97454 -1.31702 -0.05324 1.23505 1.95481 1.77470 0.77765 -0.57738 -1.66663 -1.98867 -1.39526 -0.15957 1.14957 1.92954 1.82127 0.87461 -0.47465 -1.60542 -1.99717 -1.46955 -0.26545 1.06084 1.89880 1.86267 0.96910 -0.37058 -1.53967 -2.00000 ... ... ..... ....... ......... ........... ............. E14 * 2.00000 1.46955 0.15957 -1.23505 -1.97454 -1.66663 -0.47465 0.96910 1.89880 1.82127 0.77765 -0.67848 -1.77470 -1.92954 -1.06084 0.37058 1.60542 1.98867 1.31702 -0.05324 -1.39526 -1.99717 -1.53967 -0.26545 1.14957 1.95481 1.72311 0.57738 -0.87461 -1.86267 -1.86267 -0.87461 0.57738 1.72311 1.95481 1.14957 -0.26545 -1.53967 -1.99717 -1.39526 -0.05324 1.31702 1.98867 1.60542 0.37058 -1.06084 -1.92954 -1.77470 -0.67848 0.77765 1.82127 1.89880 0.96910 -0.47465 -1.66663 -1.97454 -1.23505 0.15957 1.46955 2.00000 ... ... ..... ....... ......... ........... ............. E15 * 2.00000 1.39526 -0.05324 -1.46955 -1.99717 -1.31702 0.15957 1.53967 1.98867 1.23505 -0.26545 -1.60542 -1.97454 -1.14957 0.37058 1.66663 1.95481 1.06084 -0.47465 -1.72311 -1.92954 -0.96910 0.57738 1.77470 1.89880 0.87461 -0.67848 -1.82127 -1.86267 -0.77765 0.77765 1.86267 1.82127 0.67848 -0.87461 -1.89880 -1.77470 -0.57738 0.96910 1.92954 1.72311 0.47465 -1.06084 -1.95481 -1.66663 -0.37058 1.14957 1.97454 1.60542 0.26545 -1.23505 -1.98867 -1.53967 -0.15957 1.31702 1.99717 1.46955 0.05324 -1.39526 -2.00000 ... ... ..... ....... ......... ........... ............. E16 * 2.00000 1.31702 -0.26545 -1.66663 -1.92954 -0.87461 0.77765 1.89880 1.72311 0.37058 -1.23505 -1.99717 -1.39526 0.15957 1.60542 1.95481 0.96910 -0.67848 -1.86267 -1.77470 -0.47465 1.14957 1.98867 1.46955 -0.05324 -1.53967 -1.97454 -1.06084 0.57738 1.82127 1.82127 0.57738 -1.06084 -1.97454 -1.53967 -0.05324 1.46955 1.98867 1.14957 -0.47465 -1.77470 -1.86267 -0.67848 0.96910 1.95481 1.60542 0.15957 -1.39526 -1.99717 -1.23505 0.37058 1.72311 1.89880 0.77765 -0.87461 -1.92954 -1.66663 -0.26545 1.31702 2.00000 ... ... ..... ....... ......... ........... ............. E17 * 2.00000 1.23505 -0.47465 -1.82127 -1.77470 -0.37058 1.31702 1.99717 1.14957 -0.57738 -1.86267 -1.72311 -0.26545 1.39526 1.98867 1.06084 -0.67848 -1.89880 -1.66663 -0.15957 1.46955 1.97454 0.96910 -0.77765 -1.92954 -1.60542 -0.05324 1.53967 1.95481 0.87461 -0.87461 -1.95481 -1.53967 0.05324 1.60542 1.92954 0.77765 -0.96910 -1.97454 -1.46955 0.15957 1.66663 1.89880 0.67848 -1.06084 -1.98867 -1.39526 0.26545 1.72311 1.86267 0.57738 -1.14957 -1.99717 -1.31702 0.37058 1.77470 1.82127 0.47465 -1.23505 -2.00000 ... ... ..... ....... ......... ........... ............. E18 * 2.00000 1.14957 -0.67848 -1.92954 -1.53967 0.15957 1.72311 1.82127 0.37058 -1.39526 -1.97454 -0.87461 0.96910 1.98867 1.31702 -0.47465 -1.86267 -1.66663 -0.05324 1.60542 1.89880 0.57738 -1.23505 -1.99717 -1.06084 0.77765 1.95481 1.46955 -0.26545 -1.77470 -1.77470 -0.26545 1.46955 1.95481 0.77765 -1.06084 -1.99717 -1.23505 0.57738 1.89880 1.60542 -0.05324 -1.66663 -1.86267 -0.47465 1.31702 1.98867 0.96910 -0.87461 -1.97454 -1.39526 0.37058 1.82127 1.72311 0.15957 -1.53967 -1.92954 -0.67848 1.14957 2.00000 ... ... ..... ....... ......... ........... ............. E19 * 2.00000 1.06084 -0.87461 -1.98867 -1.23505 0.67848 1.95481 1.39526 -0.47465 -1.89880 -1.53967 0.26545 1.82127 1.66663 -0.05324 -1.72311 -1.77470 -0.15957 1.60542 1.86267 0.37058 -1.46955 -1.92954 -0.57738 1.31702 1.97454 0.77765 -1.14957 -1.99717 -0.96910 0.96910 1.99717 1.14957 -0.77765 -1.97454 -1.31702 0.57738 1.92954 1.46955 -0.37058 -1.86267 -1.60542 0.15957 1.77470 1.72311 0.05324 -1.66663 -1.82127 -0.26545 1.53967 1.89880 0.47465 -1.39526 -1.95481 -0.67848 1.23505 1.98867 0.87461 -1.06084 -2.00000 ... ... ..... ....... ......... ........... ............. E20 * 2.00000 0.96910 -1.06084 -1.99717 -0.87461 1.14957 1.98867 0.77765 -1.23505 -1.97454 -0.67848 1.31702 1.95481 0.57738 -1.39526 -1.92954 -0.47465 1.46955 1.89880 0.37058 -1.53967 -1.86267 -0.26545 1.60542 1.82127 0.15957 -1.66663 -1.77470 -0.05324 1.72311 1.72311 -0.05324 -1.77470 -1.66663 0.15957 1.82127 1.60542 -0.26545 -1.86267 -1.53967 0.37058 1.89880 1.46955 -0.47465 -1.92954 -1.39526 0.57738 1.95481 1.31702 -0.67848 -1.97454 -1.23505 0.77765 1.98867 1.14957 -0.87461 -1.99717 -1.06084 0.96910 2.00000 ... ... ..... ....... ......... ........... ............. E21 * 2.00000 0.87461 -1.23505 -1.95481 -0.47465 1.53967 1.82127 0.05324 -1.77470 -1.60542 0.37058 1.92954 1.31702 -0.77765 -1.99717 -0.96910 1.14957 1.97454 0.57738 -1.46955 -1.86267 -0.15957 1.72311 1.66663 -0.26545 -1.89880 -1.39526 0.67848 1.98867 1.06084 -1.06084 -1.98867 -0.67848 1.39526 1.89880 0.26545 -1.66663 -1.72311 0.15957 1.86267 1.46955 -0.57738 -1.97454 -1.14957 0.96910 1.99717 0.77765 -1.31702 -1.92954 -0.37058 1.60542 1.77470 -0.05324 -1.82127 -1.53967 0.47465 1.95481 1.23505 -0.87461 -2.00000 ... ... ..... ....... ......... ........... ............. E22 * 2.00000 0.77765 -1.39526 -1.86267 -0.05324 1.82127 1.46955 -0.67848 -1.99717 -0.87461 1.31702 1.89880 0.15957 -1.77470 -1.53967 0.57738 1.98867 0.96910 -1.23505 -1.92954 -0.26545 1.72311 1.60542 -0.47465 -1.97454 -1.06084 1.14957 1.95481 0.37058 -1.66663 -1.66663 0.37058 1.95481 1.14957 -1.06084 -1.97454 -0.47465 1.60542 1.72311 -0.26545 -1.92954 -1.23505 0.96910 1.98867 0.57738 -1.53967 -1.77470 0.15957 1.89880 1.31702 -0.87461 -1.99717 -0.67848 1.46955 1.82127 -0.05324 -1.86267 -1.39526 0.77765 2.00000 ... ... ..... ....... ......... ........... ............. E23 * 2.00000 0.67848 -1.53967 -1.72311 0.37058 1.97454 0.96910 -1.31702 -1.86267 0.05324 1.89880 1.23505 -1.06084 -1.95481 -0.26545 1.77470 1.46955 -0.77765 -1.99717 -0.57738 1.60542 1.66663 -0.47465 -1.98867 -0.87461 1.39526 1.82127 -0.15957 -1.92954 -1.14957 1.14957 1.92954 0.15957 -1.82127 -1.39526 0.87461 1.98867 0.47465 -1.66663 -1.60542 0.57738 1.99717 0.77765 -1.46955 -1.77470 0.26545 1.95481 1.06084 -1.23505 -1.89880 -0.05324 1.86267 1.31702 -0.96910 -1.97454 -0.37058 1.72311 1.53967 -0.67848 -2.00000 ... ... ..... ....... ......... ........... ............. E24 * 2.00000 0.57738 -1.66663 -1.53967 0.77765 1.98867 0.37058 -1.77470 -1.39526 0.96910 1.95481 0.15957 -1.86267 -1.23505 1.14957 1.89880 -0.05324 -1.92954 -1.06084 1.31702 1.82127 -0.26545 -1.97454 -0.87461 1.46955 1.72311 -0.47465 -1.99717 -0.67848 1.60542 1.60542 -0.67848 -1.99717 -0.47465 1.72311 1.46955 -0.87461 -1.97454 -0.26545 1.82127 1.31702 -1.06084 -1.92954 -0.05324 1.89880 1.14957 -1.23505 -1.86267 0.15957 1.95481 0.96910 -1.39526 -1.77470 0.37058 1.98867 0.77765 -1.53967 -1.66663 0.57738 2.00000 ... ... ..... ....... ......... ........... ............. E25 * 2.00000 0.47465 -1.77470 -1.31702 1.14957 1.86267 -0.26545 -1.98867 -0.67848 1.66663 1.46955 -0.96910 -1.92954 0.05324 1.95481 0.87461 -1.53967 -1.60542 0.77765 1.97454 0.15957 -1.89880 -1.06084 1.39526 1.72311 -0.57738 -1.99717 -0.37058 1.82127 1.23505 -1.23505 -1.82127 0.37058 1.99717 0.57738 -1.72311 -1.39526 1.06084 1.89880 -0.15957 -1.97454 -0.77765 1.60542 1.53967 -0.87461 -1.95481 -0.05324 1.92954 0.96910 -1.46955 -1.66663 0.67848 1.98867 0.26545 -1.86267 -1.14957 1.31702 1.77470 -0.47465 -2.00000 ... ... ..... ....... ......... ........... ............. E26 * 2.00000 0.37058 -1.86267 -1.06084 1.46955 1.60542 -0.87461 -1.92954 0.15957 1.98867 0.57738 -1.77470 -1.23505 1.31702 1.72311 -0.67848 -1.97454 -0.05324 1.95481 0.77765 -1.66663 -1.39526 1.14957 1.82127 -0.47465 -1.99717 -0.26545 1.89880 0.96910 -1.53967 -1.53967 0.96910 1.89880 -0.26545 -1.99717 -0.47465 1.82127 1.14957 -1.39526 -1.66663 0.77765 1.95481 -0.05324 -1.97454 -0.67848 1.72311 1.31702 -1.23505 -1.77470 0.57738 1.98867 0.15957 -1.92954 -0.87461 1.60542 1.46955 -1.06084 -1.86267 0.37058 2.00000 ... ... ..... ....... ......... ........... ............. E27 * 2.00000 0.26545 -1.92954 -0.77765 1.72311 1.23505 -1.39526 -1.60542 0.96910 1.86267 -0.47465 -1.98867 -0.05324 1.97454 0.57738 -1.82127 -1.06084 1.53967 1.46955 -1.14957 -1.77470 0.67848 1.95481 -0.15957 -1.99717 -0.37058 1.89880 0.87461 -1.66663 -1.31702 1.31702 1.66663 -0.87461 -1.89880 0.37058 1.99717 0.15957 -1.95481 -0.67848 1.77470 1.14957 -1.46955 -1.53967 1.06084 1.82127 -0.57738 -1.97454 0.05324 1.98867 0.47465 -1.86267 -0.96910 1.60542 1.39526 -1.23505 -1.72311 0.77765 1.92954 -0.26545 -2.00000 ... ... ..... ....... ......... ........... ............. E28 * 2.00000 0.15957 -1.97454 -0.47465 1.89880 0.77765 -1.77470 -1.06084 1.60542 1.31702 -1.39526 -1.53967 1.14957 1.72311 -0.87461 -1.86267 0.57738 1.95481 -0.26545 -1.99717 -0.05324 1.98867 0.37058 -1.92954 -0.67848 1.82127 0.96910 -1.66663 -1.23505 1.46955 1.46955 -1.23505 -1.66663 0.96910 1.82127 -0.67848 -1.92954 0.37058 1.98867 -0.05324 -1.99717 -0.26545 1.95481 0.57738 -1.86267 -0.87461 1.72311 1.14957 -1.53967 -1.39526 1.31702 1.60542 -1.06084 -1.77470 0.77765 1.89880 -0.47465 -1.97454 0.15957 2.00000 ... ... ..... ....... ......... ........... ............. E29 * 2.00000 0.05324 -1.99717 -0.15957 1.98867 0.26545 -1.97454 -0.37058 1.95481 0.47465 -1.92954 -0.57738 1.89880 0.67848 -1.86267 -0.77765 1.82127 0.87461 -1.77470 -0.96910 1.72311 1.06084 -1.66663 -1.14957 1.60542 1.23505 -1.53967 -1.31702 1.46955 1.39526 -1.39526 -1.46955 1.31702 1.53967 -1.23505 -1.60542 1.14957 1.66663 -1.06084 -1.72311 0.96910 1.77470 -0.87461 -1.82127 0.77765 1.86267 -0.67848 -1.89880 0.57738 1.92954 -0.47465 -1.95481 0.37058 1.97454 -0.26545 -1.98867 0.15957 1.99717 -0.05324 -2.00000 ... ... ..... ....... ......... ........... ............. E30 * 2.00000 -0.05324 -1.99717 0.15957 1.98867 -0.26545 -1.97454 0.37058 1.95481 -0.47465 -1.92954 0.57738 1.89880 -0.67848 -1.86267 0.77765 1.82127 -0.87461 -1.77470 0.96910 1.72311 -1.06084 -1.66663 1.14957 1.60542 -1.23505 -1.53967 1.31702 1.46955 -1.39526 -1.39526 1.46955 1.31702 -1.53967 -1.23505 1.60542 1.14957 -1.66663 -1.06084 1.72311 0.96910 -1.77470 -0.87461 1.82127 0.77765 -1.86267 -0.67848 1.89880 0.57738 -1.92954 -0.47465 1.95481 0.37058 -1.97454 -0.26545 1.98867 0.15957 -1.99717 -0.05324 2.00000 ... ... ..... ....... ......... ........... ............. E31 * 2.00000 -0.15957 -1.97454 0.47465 1.89880 -0.77765 -1.77470 1.06084 1.60542 -1.31702 -1.39526 1.53967 1.14957 -1.72311 -0.87461 1.86267 0.57738 -1.95481 -0.26545 1.99717 -0.05324 -1.98867 0.37058 1.92954 -0.67848 -1.82127 0.96910 1.66663 -1.23505 -1.46955 1.46955 1.23505 -1.66663 -0.96910 1.82127 0.67848 -1.92954 -0.37058 1.98867 0.05324 -1.99717 0.26545 1.95481 -0.57738 -1.86267 0.87461 1.72311 -1.14957 -1.53967 1.39526 1.31702 -1.60542 -1.06084 1.77470 0.77765 -1.89880 -0.47465 1.97454 0.15957 -2.00000 ... ... ..... ....... ......... ........... ............. E32 * 2.00000 -0.26545 -1.92954 0.77765 1.72311 -1.23505 -1.39526 1.60542 0.96910 -1.86267 -0.47465 1.98867 -0.05324 -1.97454 0.57738 1.82127 -1.06084 -1.53967 1.46955 1.14957 -1.77470 -0.67848 1.95481 0.15957 -1.99717 0.37058 1.89880 -0.87461 -1.66663 1.31702 1.31702 -1.66663 -0.87461 1.89880 0.37058 -1.99717 0.15957 1.95481 -0.67848 -1.77470 1.14957 1.46955 -1.53967 -1.06084 1.82127 0.57738 -1.97454 -0.05324 1.98867 -0.47465 -1.86267 0.96910 1.60542 -1.39526 -1.23505 1.72311 0.77765 -1.92954 -0.26545 2.00000 ... ... ..... ....... ......... ........... ............. E33 * 2.00000 -0.37058 -1.86267 1.06084 1.46955 -1.60542 -0.87461 1.92954 0.15957 -1.98867 0.57738 1.77470 -1.23505 -1.31702 1.72311 0.67848 -1.97454 0.05324 1.95481 -0.77765 -1.66663 1.39526 1.14957 -1.82127 -0.47465 1.99717 -0.26545 -1.89880 0.96910 1.53967 -1.53967 -0.96910 1.89880 0.26545 -1.99717 0.47465 1.82127 -1.14957 -1.39526 1.66663 0.77765 -1.95481 -0.05324 1.97454 -0.67848 -1.72311 1.31702 1.23505 -1.77470 -0.57738 1.98867 -0.15957 -1.92954 0.87461 1.60542 -1.46955 -1.06084 1.86267 0.37058 -2.00000 ... ... ..... ....... ......... ........... ............. E34 * 2.00000 -0.47465 -1.77470 1.31702 1.14957 -1.86267 -0.26545 1.98867 -0.67848 -1.66663 1.46955 0.96910 -1.92954 -0.05324 1.95481 -0.87461 -1.53967 1.60542 0.77765 -1.97454 0.15957 1.89880 -1.06084 -1.39526 1.72311 0.57738 -1.99717 0.37058 1.82127 -1.23505 -1.23505 1.82127 0.37058 -1.99717 0.57738 1.72311 -1.39526 -1.06084 1.89880 0.15957 -1.97454 0.77765 1.60542 -1.53967 -0.87461 1.95481 -0.05324 -1.92954 0.96910 1.46955 -1.66663 -0.67848 1.98867 -0.26545 -1.86267 1.14957 1.31702 -1.77470 -0.47465 2.00000 ... ... ..... ....... ......... ........... ............. E35 * 2.00000 -0.57738 -1.66663 1.53967 0.77765 -1.98867 0.37058 1.77470 -1.39526 -0.96910 1.95481 -0.15957 -1.86267 1.23505 1.14957 -1.89880 -0.05324 1.92954 -1.06084 -1.31702 1.82127 0.26545 -1.97454 0.87461 1.46955 -1.72311 -0.47465 1.99717 -0.67848 -1.60542 1.60542 0.67848 -1.99717 0.47465 1.72311 -1.46955 -0.87461 1.97454 -0.26545 -1.82127 1.31702 1.06084 -1.92954 0.05324 1.89880 -1.14957 -1.23505 1.86267 0.15957 -1.95481 0.96910 1.39526 -1.77470 -0.37058 1.98867 -0.77765 -1.53967 1.66663 0.57738 -2.00000 ... ... ..... ....... ......... ........... ............. E36 * 2.00000 -0.67848 -1.53967 1.72311 0.37058 -1.97454 0.96910 1.31702 -1.86267 -0.05324 1.89880 -1.23505 -1.06084 1.95481 -0.26545 -1.77470 1.46955 0.77765 -1.99717 0.57738 1.60542 -1.66663 -0.47465 1.98867 -0.87461 -1.39526 1.82127 0.15957 -1.92954 1.14957 1.14957 -1.92954 0.15957 1.82127 -1.39526 -0.87461 1.98867 -0.47465 -1.66663 1.60542 0.57738 -1.99717 0.77765 1.46955 -1.77470 -0.26545 1.95481 -1.06084 -1.23505 1.89880 -0.05324 -1.86267 1.31702 0.96910 -1.97454 0.37058 1.72311 -1.53967 -0.67848 2.00000 ... ... ..... ....... ......... ........... ............. E37 * 2.00000 -0.77765 -1.39526 1.86267 -0.05324 -1.82127 1.46955 0.67848 -1.99717 0.87461 1.31702 -1.89880 0.15957 1.77470 -1.53967 -0.57738 1.98867 -0.96910 -1.23505 1.92954 -0.26545 -1.72311 1.60542 0.47465 -1.97454 1.06084 1.14957 -1.95481 0.37058 1.66663 -1.66663 -0.37058 1.95481 -1.14957 -1.06084 1.97454 -0.47465 -1.60542 1.72311 0.26545 -1.92954 1.23505 0.96910 -1.98867 0.57738 1.53967 -1.77470 -0.15957 1.89880 -1.31702 -0.87461 1.99717 -0.67848 -1.46955 1.82127 0.05324 -1.86267 1.39526 0.77765 -2.00000 ... ... ..... ....... ......... ........... ............. E38 * 2.00000 -0.87461 -1.23505 1.95481 -0.47465 -1.53967 1.82127 -0.05324 -1.77470 1.60542 0.37058 -1.92954 1.31702 0.77765 -1.99717 0.96910 1.14957 -1.97454 0.57738 1.46955 -1.86267 0.15957 1.72311 -1.66663 -0.26545 1.89880 -1.39526 -0.67848 1.98867 -1.06084 -1.06084 1.98867 -0.67848 -1.39526 1.89880 -0.26545 -1.66663 1.72311 0.15957 -1.86267 1.46955 0.57738 -1.97454 1.14957 0.96910 -1.99717 0.77765 1.31702 -1.92954 0.37058 1.60542 -1.77470 -0.05324 1.82127 -1.53967 -0.47465 1.95481 -1.23505 -0.87461 2.00000 ... ... ..... ....... ......... ........... ............. E39 * 2.00000 -0.96910 -1.06084 1.99717 -0.87461 -1.14957 1.98867 -0.77765 -1.23505 1.97454 -0.67848 -1.31702 1.95481 -0.57738 -1.39526 1.92954 -0.47465 -1.46955 1.89880 -0.37058 -1.53967 1.86267 -0.26545 -1.60542 1.82127 -0.15957 -1.66663 1.77470 -0.05324 -1.72311 1.72311 0.05324 -1.77470 1.66663 0.15957 -1.82127 1.60542 0.26545 -1.86267 1.53967 0.37058 -1.89880 1.46955 0.47465 -1.92954 1.39526 0.57738 -1.95481 1.31702 0.67848 -1.97454 1.23505 0.77765 -1.98867 1.14957 0.87461 -1.99717 1.06084 0.96910 -2.00000 ... ... ..... ....... ......... ........... ............. E40 * 2.00000 -1.06084 -0.87461 1.98867 -1.23505 -0.67848 1.95481 -1.39526 -0.47465 1.89880 -1.53967 -0.26545 1.82127 -1.66663 -0.05324 1.72311 -1.77470 0.15957 1.60542 -1.86267 0.37058 1.46955 -1.92954 0.57738 1.31702 -1.97454 0.77765 1.14957 -1.99717 0.96910 0.96910 -1.99717 1.14957 0.77765 -1.97454 1.31702 0.57738 -1.92954 1.46955 0.37058 -1.86267 1.60542 0.15957 -1.77470 1.72311 -0.05324 -1.66663 1.82127 -0.26545 -1.53967 1.89880 -0.47465 -1.39526 1.95481 -0.67848 -1.23505 1.98867 -0.87461 -1.06084 2.00000 ... ... ..... ....... ......... ........... ............. E41 * 2.00000 -1.14957 -0.67848 1.92954 -1.53967 -0.15957 1.72311 -1.82127 0.37058 1.39526 -1.97454 0.87461 0.96910 -1.98867 1.31702 0.47465 -1.86267 1.66663 -0.05324 -1.60542 1.89880 -0.57738 -1.23505 1.99717 -1.06084 -0.77765 1.95481 -1.46955 -0.26545 1.77470 -1.77470 0.26545 1.46955 -1.95481 0.77765 1.06084 -1.99717 1.23505 0.57738 -1.89880 1.60542 0.05324 -1.66663 1.86267 -0.47465 -1.31702 1.98867 -0.96910 -0.87461 1.97454 -1.39526 -0.37058 1.82127 -1.72311 0.15957 1.53967 -1.92954 0.67848 1.14957 -2.00000 ... ... ..... ....... ......... ........... ............. E42 * 2.00000 -1.23505 -0.47465 1.82127 -1.77470 0.37058 1.31702 -1.99717 1.14957 0.57738 -1.86267 1.72311 -0.26545 -1.39526 1.98867 -1.06084 -0.67848 1.89880 -1.66663 0.15957 1.46955 -1.97454 0.96910 0.77765 -1.92954 1.60542 -0.05324 -1.53967 1.95481 -0.87461 -0.87461 1.95481 -1.53967 -0.05324 1.60542 -1.92954 0.77765 0.96910 -1.97454 1.46955 0.15957 -1.66663 1.89880 -0.67848 -1.06084 1.98867 -1.39526 -0.26545 1.72311 -1.86267 0.57738 1.14957 -1.99717 1.31702 0.37058 -1.77470 1.82127 -0.47465 -1.23505 2.00000 ... ... ..... ....... ......... ........... ............. E43 * 2.00000 -1.31702 -0.26545 1.66663 -1.92954 0.87461 0.77765 -1.89880 1.72311 -0.37058 -1.23505 1.99717 -1.39526 -0.15957 1.60542 -1.95481 0.96910 0.67848 -1.86267 1.77470 -0.47465 -1.14957 1.98867 -1.46955 -0.05324 1.53967 -1.97454 1.06084 0.57738 -1.82127 1.82127 -0.57738 -1.06084 1.97454 -1.53967 0.05324 1.46955 -1.98867 1.14957 0.47465 -1.77470 1.86267 -0.67848 -0.96910 1.95481 -1.60542 0.15957 1.39526 -1.99717 1.23505 0.37058 -1.72311 1.89880 -0.77765 -0.87461 1.92954 -1.66663 0.26545 1.31702 -2.00000 ... ... ..... ....... ......... ........... ............. E44 * 2.00000 -1.39526 -0.05324 1.46955 -1.99717 1.31702 0.15957 -1.53967 1.98867 -1.23505 -0.26545 1.60542 -1.97454 1.14957 0.37058 -1.66663 1.95481 -1.06084 -0.47465 1.72311 -1.92954 0.96910 0.57738 -1.77470 1.89880 -0.87461 -0.67848 1.82127 -1.86267 0.77765 0.77765 -1.86267 1.82127 -0.67848 -0.87461 1.89880 -1.77470 0.57738 0.96910 -1.92954 1.72311 -0.47465 -1.06084 1.95481 -1.66663 0.37058 1.14957 -1.97454 1.60542 -0.26545 -1.23505 1.98867 -1.53967 0.15957 1.31702 -1.99717 1.46955 -0.05324 -1.39526 2.00000 ... ... ..... ....... ......... ........... ............. E45 * 2.00000 -1.46955 0.15957 1.23505 -1.97454 1.66663 -0.47465 -0.96910 1.89880 -1.82127 0.77765 0.67848 -1.77470 1.92954 -1.06084 -0.37058 1.60542 -1.98867 1.31702 0.05324 -1.39526 1.99717 -1.53967 0.26545 1.14957 -1.95481 1.72311 -0.57738 -0.87461 1.86267 -1.86267 0.87461 0.57738 -1.72311 1.95481 -1.14957 -0.26545 1.53967 -1.99717 1.39526 -0.05324 -1.31702 1.98867 -1.60542 0.37058 1.06084 -1.92954 1.77470 -0.67848 -0.77765 1.82127 -1.89880 0.96910 0.47465 -1.66663 1.97454 -1.23505 -0.15957 1.46955 -2.00000 ... ... ..... ....... ......... ........... ............. E46 * 2.00000 -1.53967 0.37058 0.96910 -1.86267 1.89880 -1.06084 -0.26545 1.46955 -1.99717 1.60542 -0.47465 -0.87461 1.82127 -1.92954 1.14957 0.15957 -1.39526 1.98867 -1.66663 0.57738 0.77765 -1.77470 1.95481 -1.23505 -0.05324 1.31702 -1.97454 1.72311 -0.67848 -0.67848 1.72311 -1.97454 1.31702 -0.05324 -1.23505 1.95481 -1.77470 0.77765 0.57738 -1.66663 1.98867 -1.39526 0.15957 1.14957 -1.92954 1.82127 -0.87461 -0.47465 1.60542 -1.99717 1.46955 -0.26545 -1.06084 1.89880 -1.86267 0.96910 0.37058 -1.53967 2.00000 ... ... ..... ....... ......... ........... ............. E47 * 2.00000 -1.60542 0.57738 0.67848 -1.66663 1.99717 -1.53967 0.47465 0.77765 -1.72311 1.98867 -1.46955 0.37058 0.87461 -1.77470 1.97454 -1.39526 0.26545 0.96910 -1.82127 1.95481 -1.31702 0.15957 1.06084 -1.86267 1.92954 -1.23505 0.05324 1.14957 -1.89880 1.89880 -1.14957 -0.05324 1.23505 -1.92954 1.86267 -1.06084 -0.15957 1.31702 -1.95481 1.82127 -0.96910 -0.26545 1.39526 -1.97454 1.77470 -0.87461 -0.37058 1.46955 -1.98867 1.72311 -0.77765 -0.47465 1.53967 -1.99717 1.66663 -0.67848 -0.57738 1.60542 -2.00000 ... ... ..... ....... ......... ........... ............. E48 * 2.00000 -1.66663 0.77765 0.37058 -1.39526 1.95481 -1.86267 1.14957 -0.05324 -1.06084 1.82127 -1.97454 1.46955 -0.47465 -0.67848 1.60542 -1.99717 1.72311 -0.87461 -0.26545 1.31702 -1.92954 1.89880 -1.23505 0.15957 0.96910 -1.77470 1.98867 -1.53967 0.57738 0.57738 -1.53967 1.98867 -1.77470 0.96910 0.15957 -1.23505 1.89880 -1.92954 1.31702 -0.26545 -0.87461 1.72311 -1.99717 1.60542 -0.67848 -0.47465 1.46955 -1.97454 1.82127 -1.06084 -0.05324 1.14957 -1.86267 1.95481 -1.39526 0.37058 0.77765 -1.66663 2.00000 ... ... ..... ....... ......... ........... ............. E49 * 2.00000 -1.72311 0.96910 0.05324 -1.06084 1.77470 -1.99717 1.66663 -0.87461 -0.15957 1.14957 -1.82127 1.98867 -1.60542 0.77765 0.26545 -1.23505 1.86267 -1.97454 1.53967 -0.67848 -0.37058 1.31702 -1.89880 1.95481 -1.46955 0.57738 0.47465 -1.39526 1.92954 -1.92954 1.39526 -0.47465 -0.57738 1.46955 -1.95481 1.89880 -1.31702 0.37058 0.67848 -1.53967 1.97454 -1.86267 1.23505 -0.26545 -0.77765 1.60542 -1.98867 1.82127 -1.14957 0.15957 0.87461 -1.66663 1.99717 -1.77470 1.06084 -0.05324 -0.96910 1.72311 -2.00000 ... ... ..... ....... ......... ........... ............. E50 * 2.00000 -1.77470 1.14957 -0.26545 -0.67848 1.46955 -1.92954 1.95481 -1.53967 0.77765 0.15957 -1.06084 1.72311 -1.99717 1.82127 -1.23505 0.37058 0.57738 -1.39526 1.89880 -1.97454 1.60542 -0.87461 -0.05324 0.96910 -1.66663 1.98867 -1.86267 1.31702 -0.47465 -0.47465 1.31702 -1.86267 1.98867 -1.66663 0.96910 -0.05324 -0.87461 1.60542 -1.97454 1.89880 -1.39526 0.57738 0.37058 -1.23505 1.82127 -1.99717 1.72311 -1.06084 0.15957 0.77765 -1.53967 1.95481 -1.92954 1.46955 -0.67848 -0.26545 1.14957 -1.77470 2.00000 ... ... ..... ....... ......... ........... ............. E51 * 2.00000 -1.82127 1.31702 -0.57738 -0.26545 1.06084 -1.66663 1.97454 -1.92954 1.53967 -0.87461 0.05324 0.77765 -1.46955 1.89880 -1.98867 1.72311 -1.14957 0.37058 0.47465 -1.23505 1.77470 -1.99717 1.86267 -1.39526 0.67848 0.15957 -0.96910 1.60542 -1.95481 1.95481 -1.60542 0.96910 -0.15957 -0.67848 1.39526 -1.86267 1.99717 -1.77470 1.23505 -0.47465 -0.37058 1.14957 -1.72311 1.98867 -1.89880 1.46955 -0.77765 -0.05324 0.87461 -1.53967 1.92954 -1.97454 1.66663 -1.06084 0.26545 0.57738 -1.31702 1.82127 -2.00000 ... ... ..... ....... ......... ........... ............. E52 * 2.00000 -1.86267 1.46955 -0.87461 0.15957 0.57738 -1.23505 1.72311 -1.97454 1.95481 -1.66663 1.14957 -0.47465 -0.26545 0.96910 -1.53967 1.89880 -1.99717 1.82127 -1.39526 0.77765 -0.05324 -0.67848 1.31702 -1.77470 1.98867 -1.92954 1.60542 -1.06084 0.37058 0.37058 -1.06084 1.60542 -1.92954 1.98867 -1.77470 1.31702 -0.67848 -0.05324 0.77765 -1.39526 1.82127 -1.99717 1.89880 -1.53967 0.96910 -0.26545 -0.47465 1.14957 -1.66663 1.95481 -1.97454 1.72311 -1.23505 0.57738 0.15957 -0.87461 1.46955 -1.86267 2.00000 ... ... ..... ....... ......... ........... ............. E53 * 2.00000 -1.89880 1.60542 -1.14957 0.57738 0.05324 -0.67848 1.23505 -1.66663 1.92954 -1.99717 1.86267 -1.53967 1.06084 -0.47465 -0.15957 0.77765 -1.31702 1.72311 -1.95481 1.98867 -1.82127 1.46955 -0.96910 0.37058 0.26545 -0.87461 1.39526 -1.77470 1.97454 -1.97454 1.77470 -1.39526 0.87461 -0.26545 -0.37058 0.96910 -1.46955 1.82127 -1.98867 1.95481 -1.72311 1.31702 -0.77765 0.15957 0.47465 -1.06084 1.53967 -1.86267 1.99717 -1.92954 1.66663 -1.23505 0.67848 -0.05324 -0.57738 1.14957 -1.60542 1.89880 -2.00000 ... ... ..... ....... ......... ........... ............. E54 * 2.00000 -1.92954 1.72311 -1.39526 0.96910 -0.47465 -0.05324 0.57738 -1.06084 1.46955 -1.77470 1.95481 -1.99717 1.89880 -1.66663 1.31702 -0.87461 0.37058 0.15957 -0.67848 1.14957 -1.53967 1.82127 -1.97454 1.98867 -1.86267 1.60542 -1.23505 0.77765 -0.26545 -0.26545 0.77765 -1.23505 1.60542 -1.86267 1.98867 -1.97454 1.82127 -1.53967 1.14957 -0.67848 0.15957 0.37058 -0.87461 1.31702 -1.66663 1.89880 -1.99717 1.95481 -1.77470 1.46955 -1.06084 0.57738 -0.05324 -0.47465 0.96910 -1.39526 1.72311 -1.92954 2.00000 ... ... ..... ....... ......... ........... ............. E55 * 2.00000 -1.95481 1.82127 -1.60542 1.31702 -0.96910 0.57738 -0.15957 -0.26545 0.67848 -1.06084 1.39526 -1.66663 1.86267 -1.97454 1.99717 -1.92954 1.77470 -1.53967 1.23505 -0.87461 0.47465 -0.05324 -0.37058 0.77765 -1.14957 1.46955 -1.72311 1.89880 -1.98867 1.98867 -1.89880 1.72311 -1.46955 1.14957 -0.77765 0.37058 0.05324 -0.47465 0.87461 -1.23505 1.53967 -1.77470 1.92954 -1.99717 1.97454 -1.86267 1.66663 -1.39526 1.06084 -0.67848 0.26545 0.15957 -0.57738 0.96910 -1.31702 1.60542 -1.82127 1.95481 -2.00000 ... ... ..... ....... ......... ........... ............. E56 * 2.00000 -1.97454 1.89880 -1.77470 1.60542 -1.39526 1.14957 -0.87461 0.57738 -0.26545 -0.05324 0.37058 -0.67848 0.96910 -1.23505 1.46955 -1.66663 1.82127 -1.92954 1.98867 -1.99717 1.95481 -1.86267 1.72311 -1.53967 1.31702 -1.06084 0.77765 -0.47465 0.15957 0.15957 -0.47465 0.77765 -1.06084 1.31702 -1.53967 1.72311 -1.86267 1.95481 -1.99717 1.98867 -1.92954 1.82127 -1.66663 1.46955 -1.23505 0.96910 -0.67848 0.37058 -0.05324 -0.26545 0.57738 -0.87461 1.14957 -1.39526 1.60542 -1.77470 1.89880 -1.97454 2.00000 ... ... ..... ....... ......... ........... ............. E57 * 2.00000 -1.98867 1.95481 -1.89880 1.82127 -1.72311 1.60542 -1.46955 1.31702 -1.14957 0.96910 -0.77765 0.57738 -0.37058 0.15957 0.05324 -0.26545 0.47465 -0.67848 0.87461 -1.06084 1.23505 -1.39526 1.53967 -1.66663 1.77470 -1.86267 1.92954 -1.97454 1.99717 -1.99717 1.97454 -1.92954 1.86267 -1.77470 1.66663 -1.53967 1.39526 -1.23505 1.06084 -0.87461 0.67848 -0.47465 0.26545 -0.05324 -0.15957 0.37058 -0.57738 0.77765 -0.96910 1.14957 -1.31702 1.46955 -1.60542 1.72311 -1.82127 1.89880 -1.95481 1.98867 -2.00000 ... ... ..... ....... ......... ........... ............. E58 * 2.00000 -1.99717 1.98867 -1.97454 1.95481 -1.92954 1.89880 -1.86267 1.82127 -1.77470 1.72311 -1.66663 1.60542 -1.53967 1.46955 -1.39526 1.31702 -1.23505 1.14957 -1.06084 0.96910 -0.87461 0.77765 -0.67848 0.57738 -0.47465 0.37058 -0.26545 0.15957 -0.05324 -0.05324 0.15957 -0.26545 0.37058 -0.47465 0.57738 -0.67848 0.77765 -0.87461 0.96910 -1.06084 1.14957 -1.23505 1.31702 -1.39526 1.46955 -1.53967 1.60542 -1.66663 1.72311 -1.77470 1.82127 -1.86267 1.89880 -1.92954 1.95481 -1.97454 1.98867 -1.99717 2.00000 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.997165391354 = 2*cos(2*π/118) = 2*cos(π/59) 1.988669600420 = 2*cos(4*π/118) = 2*cos(2*π/59) 1.974536709443 = 2*cos(6*π/118) = 2*cos(3*π/59) 1.954806779636 = 2*cos(8*π/118) = 2*cos(4*π/59) 1.929535737629 = 2*cos(10*π/118) = 2*cos(5*π/59) 1.898795216937 = 2*cos(12*π/118) = 2*cos(6*π/59) 1.862672354905 = 2*cos(14*π/118) = 2*cos(7*π/59) 1.821269545710 = 2*cos(16*π/118) = 2*cos(8*π/59) 1.774704150113 = 2*cos(18*π/118) = 2*cos(9*π/59) 1.723108162788 = 2*cos(20*π/118) = 2*cos(10*π/59) 1.666627838165 = 2*cos(22*π/118) = 2*cos(11*π/59) 1.605423275862 = 2*cos(24*π/118) = 2*cos(12*π/59) 1.539667966860 = 2*cos(26*π/118) = 2*cos(13*π/59) 1.469548301726 = 2*cos(28*π/118) = 2*cos(14*π/59) 1.395263042270 = 2*cos(30*π/118) = 2*cos(15*π/59) 1.317022758130 = 2*cos(32*π/118) = 2*cos(16*π/59) 1.235049229892 = 2*cos(34*π/118) = 2*cos(17*π/59) 1.149574820429 = 2*cos(36*π/118) = 2*cos(18*π/59) 1.060841816239 = 2*cos(38*π/118) = 2*cos(19*π/59) 0.969101740665 = 2*cos(40*π/118) = 2*cos(20*π/59) 0.874614640918 = 2*cos(42*π/118) = 2*cos(21*π/59) 0.777648350947 = 2*cos(44*π/118) = 2*cos(22*π/59) 0.678477732236 = 2*cos(46*π/118) = 2*cos(23*π/59) 0.577383894679 = 2*cos(48*π/118) = 2*cos(24*π/59) 0.474653399742 = 2*cos(50*π/118) = 2*cos(25*π/59) 0.370577448174 = 2*cos(52*π/118) = 2*cos(26*π/59) 0.265451054567 = 2*cos(54*π/118) = 2*cos(27*π/59) 0.159572211106 = 2*cos(56*π/118) = 2*cos(28*π/59) 0.053241042876 = 2*cos(58*π/118) = 2*cos(29*π/59) 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 C118 point group is 118, and the order of the principal axis (C118) is 118. The group has 60 irreducible representations. β The C118 point group is isomorphic to S118 and C59h. γ The C118 point group is generated by one single symmetry element, C118. Therefore, it is a cyclic group. δ The lowest nonvanishing multipole moment in C118 is 2 (dipole moment). ε This is an Abelian point group (the commutative law holds between all symmetry operations). The C118 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 116 cases have been combined into 58 two-dimensional representations that are no longer irreducible but have real-valued characters. Accordingly, 58 pairs of left and right rotations have been combined into one two-membered pseudo-class each. η The 58 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.
C116 | ||
C117 | ||
C118 | C118v C118h D118 D118h D118d S118 | |
C119 | ||
C120 |
This Character Table for the C118 point group was created by Gernot Katzer.
For other groups and some explanations, see the Main Page.