Character Table for Point Group C59h

Character table for the C_59h point group

C59h E 2 C59 2 C59^2 2 C59^3 2 C59^4 2 C59^5 2 C59^6 2 C59^7 2 C59^8 2 C59^9 2 C59^10 2 C59^11 2 C59^12 2 C59^13 2 C59^14 2 C59^15 2 C59^16 2 C59^17 2 C59^18 2 C59^19 2 C59^20 2 C59^21 2 C59^22 2 C59^23 2 C59^24 2 C59^25 2 C59^26 2 C59^27 2 C59^28 2 C59^29 sh 2 S59 2 S59^3 2 S59^5 2 S59^7 2 S59^9 2 S59^11 2 S59^13 2 S59^15 2 S59^17 2 S59^19 2 S59^21 2 S59^23 2 S59^25 2 S59^27 2 S59^29 2 S59^31 2 S59^33 2 S59^35 2 S59^37 2 S59^39 2 S59^41 2 S59^43 2 S59^45 2 S59^47 2 S59^49 2 S59^51 2 S59^53 2 S59^55 2 S59^57 <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 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 ............. E1' * 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 2.00000 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 ... TT. ..... ....TT. ......... ........TT. ............. E1" * 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 -2.00000 -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 TT. ... ..TT. ....... ......TT. ........... ..........TT. E2' * 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 2.00000 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 ... ... TT... ....... ....TT... ........... ........TT... E2" * 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 -2.00000 -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 ... ... ..... ..TT... ......... ......TT... ............. E3' * 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 2.00000 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 ... ... ..... TT..... ......... ....TT..... ............. E3" * 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 -2.00000 -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 ... ... ..... ....... ..TT..... ........... ......TT..... E4' * 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 2.00000 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 ... ... ..... ....... TT....... ........... ....TT....... E4" * 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 -2.00000 -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 ... ... ..... ....... ......... ..TT....... ............. E5' * 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 2.00000 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 ... ... ..... ....... ......... TT......... ............. E5" * 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 -2.00000 -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 ... ... ..... ....... ......... ........... ..TT......... E6' * 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 2.00000 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 ... ... ..... ....... ......... ........... TT........... E6" * 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 -2.00000 -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 ... ... ..... ....... ......... ........... ............. E7' * 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 2.00000 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 ... ... ..... ....... ......... ........... ............. E7" * 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 -2.00000 -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 ... ... ..... ....... ......... ........... ............. E8' * 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 2.00000 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 ... ... ..... ....... ......... ........... ............. E8" * 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 -2.00000 -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 ... ... ..... ....... ......... ........... ............. E9' * 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 2.00000 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 ... ... ..... ....... ......... ........... ............. E9" * 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 -2.00000 -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 ... ... ..... ....... ......... ........... ............. E10' * 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 2.00000 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 ... ... ..... ....... ......... ........... ............. E10" * 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 -2.00000 -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 ... ... ..... ....... ......... ........... ............. E11' * 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 2.00000 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 ... ... ..... ....... ......... ........... ............. E11" * 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 -2.00000 -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 ... ... ..... ....... ......... ........... ............. E12' * 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 2.00000 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 ... ... ..... ....... ......... ........... ............. E12" * 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 -2.00000 -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 ... ... ..... ....... ......... ........... ............. E13' * 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 2.00000 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 ... ... ..... ....... ......... ........... ............. E13" * 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 -2.00000 -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 ... ... ..... ....... ......... ........... ............. E14' * 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 2.00000 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 ... ... ..... ....... ......... ........... ............. E14" * 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 -2.00000 -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 ... ... ..... ....... ......... ........... ............. E15' * 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 2.00000 -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 ... ... ..... ....... ......... ........... ............. E15" * 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 -2.00000 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 ... ... ..... ....... ......... ........... ............. E16' * 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 2.00000 -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 ... ... ..... ....... ......... ........... ............. E16" * 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 -2.00000 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 ... ... ..... ....... ......... ........... ............. E17' * 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 2.00000 -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 ... ... ..... ....... ......... ........... ............. E17" * 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 -2.00000 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 ... ... ..... ....... ......... ........... ............. E18' * 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 2.00000 -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 ... ... ..... ....... ......... ........... ............. E18" * 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 -2.00000 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 ... ... ..... ....... ......... ........... ............. E19' * 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 2.00000 -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 ... ... ..... ....... ......... ........... ............. E19" * 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 -2.00000 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 ... ... ..... ....... ......... ........... ............. E20' * 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 2.00000 -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 ... ... ..... ....... ......... ........... ............. E20" * 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 -2.00000 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 ... ... ..... ....... ......... ........... ............. E21' * 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 2.00000 -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 ... ... ..... ....... ......... ........... ............. E21" * 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 -2.00000 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 ... ... ..... ....... ......... ........... ............. E22' * 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 2.00000 -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 ... ... ..... ....... ......... ........... ............. E22" * 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 -2.00000 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 ... ... ..... ....... ......... ........... ............. E23' * 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 2.00000 -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 ... ... ..... ....... ......... ........... ............. E23" * 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 -2.00000 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 ... ... ..... ....... ......... ........... ............. E24' * 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 2.00000 -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 ... ... ..... ....... ......... ........... ............. E24" * 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 -2.00000 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 ... ... ..... ....... ......... ........... ............. E25' * 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 2.00000 -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 ... ... ..... ....... ......... ........... ............. E25" * 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 -2.00000 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 ... ... ..... ....... ......... ........... ............. E26' * 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 2.00000 -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 ... ... ..... ....... ......... ........... ............. E26" * 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 -2.00000 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 ... ... ..... ....... ......... ........... ............. E27' * 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 2.00000 -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 ... ... ..... ....... ......... ........... ............. E27" * 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 -2.00000 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 ... ... ..... ....... ......... ........... ............. E28' * 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 2.00000 -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 ... ... ..... ....... ......... ........... ............. E28" * 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 -2.00000 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 ... ... ..... ....... ......... ........... ............. E29' * 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 2.00000 -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 ... ... ..... ....... ......... ........... ............. E29" * 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 -2.00000 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 ... ... ..... ....... ......... ........... ............. 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+d+g+i+k+m R_z, z², z⁴, z⁶ A" p+f+h+j+l z, z³, z⁵ E1' p+f+h+j+l {x, y}, {xz², yz²}, {xz⁴, yz⁴} E1" R+d+g+i+k+m {R_x, R_y}, {xz, yz}, {xz³, yz³}, {xz⁵, yz⁵} E2' d+g+i+k+m {x²−y², xy}, {z²(x²−y²), xyz²}, {z⁴(x²−y²), xyz⁴} E2" f+h+j+l {z(x²−y²), xyz}, {z³(x²−y²), xyz³} E3' f+h+j+l {x(x²−3y²), y(3x²−y²)}, {xz²(x²−3y²), yz²(3x²−y²)} E3" g+i+k+m {xz(x²−3y²), yz(3x²−y²)}, {xz³(x²−3y²), yz³(3x²−y²)} E4' g+i+k+m {(x²−y²)²−4x²y², xy(x²−y²)}, {z²((x²−y²)²−4x²y²), xyz²(x²−y²)} E4" h+j+l {z((x²−y²)²−4x²y²), xyz(x²−y²)} E5' h+j+l {x(x²−(5+2√5)y²)(x²−(5−2√5)y²), y((5+2√5)x²−y²)((5−2√5)x²−y²)} E5" i+k+m {xz(x²−(5+2√5)y²)(x²−(5−2√5)y²), yz((5+2√5)x²−y²)((5−2√5)x²−y²)} E6' i+k+m {x²(x²−3y²)²−y²(3x²−y²)², xy(x²−3y²)(3x²−y²)} E6" j+l E7' j+l E7" k+m E8' k+m E8" l E9' l E9" m E10' m Notes: α The order of the C_59h point group is 118, and the order of the principal axis (S₅₉) is 118. The group has 60 irreducible representations. β The C_59h point group could also be named S₅₉, as it contains the S₅₉ axis as its only symmetry element. Another rare designation is C_118i because the S₅₉ axis is identical to a roto-inversion axis of order 118. γ The C_59h point group is isomorphic to C₁₁₈ and S₁₁₈. δ The C_59h point group is generated by one single symmetry element, S₅₉. Therefore, it is a cyclic group. The canonical choice, however, is to use redundant generators: C₅₉ and σ_h. ε The lowest nonvanishing multipole moment in C_59h is 4 (quadrupole moment). ζ This is an Abelian point group (the commutative law holds between all symmetry operations). The C_59h 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. η 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. θ 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. 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 just less than half the order of the principal axis. For this group, however, none of the irrational characters can be expressed by a closed algebraic form using real numbers only.

This Character Table for the C_59h point group was created by Gernot Katzer.

For other groups and some explanations, see the Main Page.

	C_57h
	C_58h
C₅₉ C_59v	C_59h	D₅₉ D_59h D_59d
	C_60h
	C_61h

Character table for the C59h point group

Character table for the C_59h point group