D59d 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 59 C2' i 2 S118 2 S118^3 2 S118^5 2 S118^7 2 S118^9 2 S118^11 2 S118^13 2 S118^15 2 S118^17 2 S118^19 2 S118^21 2 S118^23 2 S118^25 2 S118^27 2 S118^29 2 S118^31 2 S118^33 2 S118^35 2 S118^37 2 S118^39 2 S118^41 2 S118^43 2 S118^45 2 S118^47 2 S118^49 2 S118^51 2 S118^53 2 S118^55 2 S118^57 59 sd <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> A1g 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 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 A2g 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 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 ... ..... ....... ......... ........... ............. E1g 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 0.00000 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 0.00000 TT. ... ..TT. ....... ......TT. ........... ..........TT. E2g 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 0.00000 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 0.00000 ... ... TT... ....... ....TT... ........... ........TT... E3g 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 0.00000 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 0.00000 ... ... ..... ....... ..TT..... ........... ......TT..... E4g 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 0.00000 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 0.00000 ... ... ..... ....... TT....... ........... ....TT....... E5g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ..TT......... E6g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... TT........... E7g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E8g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E9g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E10g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E11g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E12g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E13g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E14g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E15g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E16g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E17g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E18g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E19g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E20g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E21g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E22g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E23g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E24g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E25g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E26g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E27g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E28g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E29g 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 0.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. A1u 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 ... ... ..... ....... ......... ........... ............. A2u 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -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 ............. E1u 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 0.00000 -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 0.00000 ... TT. ..... ....TT. ......... ........TT. ............. E2u 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 0.00000 -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 0.00000 ... ... ..... ..TT... ......... ......TT... ............. E3u 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 0.00000 -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 0.00000 ... ... ..... TT..... ......... ....TT..... ............. E4u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ..TT....... ............. E5u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... TT......... ............. E6u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E7u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E8u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E9u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E10u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E11u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E12u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E13u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E14u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E15u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E16u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E17u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E18u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E19u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E20u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E21u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E22u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E23u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E24u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E25u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E26u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E27u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E28u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E29u 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 0.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. 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 A1g d+g+i+k+m z2, z4, z6 A2g R Rz E1g R+d+g+i+k+m {Rx, Ry}, {xz, yz}, {xz3, yz3}, {xz5, yz5} E2g d+g+i+k+m {x2−y2, xy}, {z2(x2−y2), xyz2}, {z4(x2−y2), xyz4} E3g g+i+k+m {xz(x2−3y2), yz(3x2−y2)}, {xz3(x2−3y2), yz3(3x2−y2)} E4g g+i+k+m {(x2−y2)2−4x2y2, xy(x2−y2)}, {z2((x2−y2)2−4x2y2), xyz2(x2−y2)} E5g 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)} E6g i+k+m {x2(x2−3y2)2−y2(3x2−y2)2, xy(x2−3y2)(3x2−y2)} E7g k+m E8g k+m E9g m E10g m A2u p+f+h+j+l z, z3, z5 E1u p+f+h+j+l {x, y}, {xz2, yz2}, {xz4, yz4} E2u f+h+j+l {z(x2−y2), xyz}, {z3(x2−y2), xyz3} E3u f+h+j+l {x(x2−3y2), y(3x2−y2)}, {xz2(x2−3y2), yz2(3x2−y2)} E4u h+j+l {z((x2−y2)2−4x2y2), xyz(x2−y2)} E5u 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)} E6u j+l E7u j+l E8u l E9u l Notes: α The order of the D59d point group is 236, and the order of the principal axis (S118) is 118. The group has 62 irreducible representations. β The D59d point group is isomorphic to D59h, C118v and D118. γ The D59d point group is generated by two symmetry elements, S118 and either a perpendicular C2′ or a vertical σd. Also, the group may be generated from any C2′ plus any σd plane. The canonical choice, however, is to use redundant generators: C59, C2′ and i. δ The group contains one set of C2′ symmetry axes perpendicular to the principal (z) axis. The x axis (but not the y axis) is a member of that set. Reversely, the single set of symmetry planes denoted σd contains the yz plane but not the xz plane. ε The lowest nonvanishing multipole moment in D59d is 4 (quadrupole moment). ζ This point group is non-Abelian (some symmetry operations are not commutative). Therefore, the character table contains multi-membered classes and degenerate irreducible representations. η 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.
D57d | ||
D58d | ||
C59 C59v C59h D59 D59h | D59d | |
D60d | ||
D61d |
This Character Table for the D59d point group was created by Gernot Katzer.
For other groups and some explanations, see the Main Page.