D84h E 2 C84 2 C42 2 C28 2 C21 2 C84^5 2 C14 2 C12 2 C21^2 2 C28^3 2 C42^5 2 C84^11 2 C7 2 C84^13 2 C6 2 C28^5 2 C21^4 2 C84^17 2 C14^3 2 C84^19 2 C21^5 2 C4 2 C42^11 2 C84^23 2 C7^2 2 C84^25 2 C42^13 2 C28^9 2 C3 2 C84^29 2 C14^5 2 C84^31 2 C21^8 2 C28^11 2 C42^17 2 C12^5 2 C7^3 2 C84^37 2 C42^19 2 C28^13 2 C21^10 2 C84^41 C2 42 C2' 42 C2" i 2 S84 2 S42 2 S28 2 S21 2 S84^5 2 S14 2 S12 2 S21^2 2 S28^3 2 S42^5 2 S84^11 2 S7 2 S84^13 2 S6 2 S28^5 2 S21^4 2 S84^17 2 S14^3 2 S84^19 2 S21^5 2 S4 2 S42^11 2 S84^23 2 S7^2 2 S84^25 2 S42^13 2 S28^9 2 S3 2 S84^29 2 S14^5 2 S84^31 2 S21^8 2 S28^11 2 S42^17 2 S12^5 2 S7^3 2 S84^37 2 S42^19 2 S28^13 2 S21^10 2 S84^41 sh 42 sv 42 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 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 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 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 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 ... ..... ....... ......... ........... ............. B1g 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 1.00000 -1.00000 ... ... ..... ....... ......... ........... ............. B2g 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 ... ... ..... ....... ......... ........... ............. E1g 2.00000 1.99441 1.97766 1.94986 1.91115 1.86175 1.80194 1.73205 1.65248 1.56366 1.46610 1.36035 1.24698 1.12664 1.00000 0.86777 0.73068 0.58951 0.44504 0.29808 0.14946 0.00000 -0.14946 -0.29808 -0.44504 -0.58951 -0.73068 -0.86777 -1.00000 -1.12664 -1.24698 -1.36035 -1.46610 -1.56366 -1.65248 -1.73205 -1.80194 -1.86175 -1.91115 -1.94986 -1.97766 -1.99441 -2.00000 0.00000 0.00000 2.00000 -1.99441 -1.97766 -1.94986 -1.91115 -1.86175 -1.80194 -1.73205 -1.65248 -1.56366 -1.46610 -1.36035 -1.24698 -1.12664 -1.00000 -0.86777 -0.73068 -0.58951 -0.44504 -0.29808 -0.14946 0.00000 0.14946 0.29808 0.44504 0.58951 0.73068 0.86777 1.00000 1.12664 1.24698 1.36035 1.46610 1.56366 1.65248 1.73205 1.80194 1.86175 1.91115 1.94986 1.97766 1.99441 -2.00000 0.00000 0.00000 TT. ... ..TT. ....... ......TT. ........... ..........TT. E2g 2.00000 1.97766 1.91115 1.80194 1.65248 1.46610 1.24698 1.00000 0.73068 0.44504 0.14946 -0.14946 -0.44504 -0.73068 -1.00000 -1.24698 -1.46610 -1.65248 -1.80194 -1.91115 -1.97766 -2.00000 -1.97766 -1.91115 -1.80194 -1.65248 -1.46610 -1.24698 -1.00000 -0.73068 -0.44504 -0.14946 0.14946 0.44504 0.73068 1.00000 1.24698 1.46610 1.65248 1.80194 1.91115 1.97766 2.00000 0.00000 0.00000 2.00000 1.97766 1.91115 1.80194 1.65248 1.46610 1.24698 1.00000 0.73068 0.44504 0.14946 -0.14946 -0.44504 -0.73068 -1.00000 -1.24698 -1.46610 -1.65248 -1.80194 -1.91115 -1.97766 -2.00000 -1.97766 -1.91115 -1.80194 -1.65248 -1.46610 -1.24698 -1.00000 -0.73068 -0.44504 -0.14946 0.14946 0.44504 0.73068 1.00000 1.24698 1.46610 1.65248 1.80194 1.91115 1.97766 2.00000 0.00000 0.00000 ... ... TT... ....... ....TT... ........... ........TT... E3g 2.00000 1.94986 1.80194 1.56366 1.24698 0.86777 0.44504 0.00000 -0.44504 -0.86777 -1.24698 -1.56366 -1.80194 -1.94986 -2.00000 -1.94986 -1.80194 -1.56366 -1.24698 -0.86777 -0.44504 0.00000 0.44504 0.86777 1.24698 1.56366 1.80194 1.94986 2.00000 1.94986 1.80194 1.56366 1.24698 0.86777 0.44504 0.00000 -0.44504 -0.86777 -1.24698 -1.56366 -1.80194 -1.94986 -2.00000 0.00000 0.00000 2.00000 -1.94986 -1.80194 -1.56366 -1.24698 -0.86777 -0.44504 0.00000 0.44504 0.86777 1.24698 1.56366 1.80194 1.94986 2.00000 1.94986 1.80194 1.56366 1.24698 0.86777 0.44504 0.00000 -0.44504 -0.86777 -1.24698 -1.56366 -1.80194 -1.94986 -2.00000 -1.94986 -1.80194 -1.56366 -1.24698 -0.86777 -0.44504 0.00000 0.44504 0.86777 1.24698 1.56366 1.80194 1.94986 -2.00000 0.00000 0.00000 ... ... ..... ....... ..TT..... ........... ......TT..... E4g 2.00000 1.91115 1.65248 1.24698 0.73068 0.14946 -0.44504 -1.00000 -1.46610 -1.80194 -1.97766 -1.97766 -1.80194 -1.46610 -1.00000 -0.44504 0.14946 0.73068 1.24698 1.65248 1.91115 2.00000 1.91115 1.65248 1.24698 0.73068 0.14946 -0.44504 -1.00000 -1.46610 -1.80194 -1.97766 -1.97766 -1.80194 -1.46610 -1.00000 -0.44504 0.14946 0.73068 1.24698 1.65248 1.91115 2.00000 0.00000 0.00000 2.00000 1.91115 1.65248 1.24698 0.73068 0.14946 -0.44504 -1.00000 -1.46610 -1.80194 -1.97766 -1.97766 -1.80194 -1.46610 -1.00000 -0.44504 0.14946 0.73068 1.24698 1.65248 1.91115 2.00000 1.91115 1.65248 1.24698 0.73068 0.14946 -0.44504 -1.00000 -1.46610 -1.80194 -1.97766 -1.97766 -1.80194 -1.46610 -1.00000 -0.44504 0.14946 0.73068 1.24698 1.65248 1.91115 2.00000 0.00000 0.00000 ... ... ..... ....... TT....... ........... ....TT....... E5g 2.00000 1.86175 1.46610 0.86777 0.14946 -0.58951 -1.24698 -1.73205 -1.97766 -1.94986 -1.65248 -1.12664 -0.44504 0.29808 1.00000 1.56366 1.91115 1.99441 1.80194 1.36035 0.73068 0.00000 -0.73068 -1.36035 -1.80194 -1.99441 -1.91115 -1.56366 -1.00000 -0.29808 0.44504 1.12664 1.65248 1.94986 1.97766 1.73205 1.24698 0.58951 -0.14946 -0.86777 -1.46610 -1.86175 -2.00000 0.00000 0.00000 2.00000 -1.86175 -1.46610 -0.86777 -0.14946 0.58951 1.24698 1.73205 1.97766 1.94986 1.65248 1.12664 0.44504 -0.29808 -1.00000 -1.56366 -1.91115 -1.99441 -1.80194 -1.36035 -0.73068 0.00000 0.73068 1.36035 1.80194 1.99441 1.91115 1.56366 1.00000 0.29808 -0.44504 -1.12664 -1.65248 -1.94986 -1.97766 -1.73205 -1.24698 -0.58951 0.14946 0.86777 1.46610 1.86175 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ..TT......... E6g 2.00000 1.80194 1.24698 0.44504 -0.44504 -1.24698 -1.80194 -2.00000 -1.80194 -1.24698 -0.44504 0.44504 1.24698 1.80194 2.00000 1.80194 1.24698 0.44504 -0.44504 -1.24698 -1.80194 -2.00000 -1.80194 -1.24698 -0.44504 0.44504 1.24698 1.80194 2.00000 1.80194 1.24698 0.44504 -0.44504 -1.24698 -1.80194 -2.00000 -1.80194 -1.24698 -0.44504 0.44504 1.24698 1.80194 2.00000 0.00000 0.00000 2.00000 1.80194 1.24698 0.44504 -0.44504 -1.24698 -1.80194 -2.00000 -1.80194 -1.24698 -0.44504 0.44504 1.24698 1.80194 2.00000 1.80194 1.24698 0.44504 -0.44504 -1.24698 -1.80194 -2.00000 -1.80194 -1.24698 -0.44504 0.44504 1.24698 1.80194 2.00000 1.80194 1.24698 0.44504 -0.44504 -1.24698 -1.80194 -2.00000 -1.80194 -1.24698 -0.44504 0.44504 1.24698 1.80194 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... TT........... E7g 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000 0.00000 1.00000 1.73205 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000 0.00000 1.00000 1.73205 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000 0.00000 1.00000 1.73205 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 0.00000 0.00000 2.00000 -1.73205 -1.00000 0.00000 1.00000 1.73205 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000 0.00000 1.00000 1.73205 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000 0.00000 1.00000 1.73205 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000 0.00000 1.00000 1.73205 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E8g 2.00000 1.65248 0.73068 -0.44504 -1.46610 -1.97766 -1.80194 -1.00000 0.14946 1.24698 1.91115 1.91115 1.24698 0.14946 -1.00000 -1.80194 -1.97766 -1.46610 -0.44504 0.73068 1.65248 2.00000 1.65248 0.73068 -0.44504 -1.46610 -1.97766 -1.80194 -1.00000 0.14946 1.24698 1.91115 1.91115 1.24698 0.14946 -1.00000 -1.80194 -1.97766 -1.46610 -0.44504 0.73068 1.65248 2.00000 0.00000 0.00000 2.00000 1.65248 0.73068 -0.44504 -1.46610 -1.97766 -1.80194 -1.00000 0.14946 1.24698 1.91115 1.91115 1.24698 0.14946 -1.00000 -1.80194 -1.97766 -1.46610 -0.44504 0.73068 1.65248 2.00000 1.65248 0.73068 -0.44504 -1.46610 -1.97766 -1.80194 -1.00000 0.14946 1.24698 1.91115 1.91115 1.24698 0.14946 -1.00000 -1.80194 -1.97766 -1.46610 -0.44504 0.73068 1.65248 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E9g 2.00000 1.56366 0.44504 -0.86777 -1.80194 -1.94986 -1.24698 0.00000 1.24698 1.94986 1.80194 0.86777 -0.44504 -1.56366 -2.00000 -1.56366 -0.44504 0.86777 1.80194 1.94986 1.24698 0.00000 -1.24698 -1.94986 -1.80194 -0.86777 0.44504 1.56366 2.00000 1.56366 0.44504 -0.86777 -1.80194 -1.94986 -1.24698 0.00000 1.24698 1.94986 1.80194 0.86777 -0.44504 -1.56366 -2.00000 0.00000 0.00000 2.00000 -1.56366 -0.44504 0.86777 1.80194 1.94986 1.24698 0.00000 -1.24698 -1.94986 -1.80194 -0.86777 0.44504 1.56366 2.00000 1.56366 0.44504 -0.86777 -1.80194 -1.94986 -1.24698 0.00000 1.24698 1.94986 1.80194 0.86777 -0.44504 -1.56366 -2.00000 -1.56366 -0.44504 0.86777 1.80194 1.94986 1.24698 0.00000 -1.24698 -1.94986 -1.80194 -0.86777 0.44504 1.56366 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E10g 2.00000 1.46610 0.14946 -1.24698 -1.97766 -1.65248 -0.44504 1.00000 1.91115 1.80194 0.73068 -0.73068 -1.80194 -1.91115 -1.00000 0.44504 1.65248 1.97766 1.24698 -0.14946 -1.46610 -2.00000 -1.46610 -0.14946 1.24698 1.97766 1.65248 0.44504 -1.00000 -1.91115 -1.80194 -0.73068 0.73068 1.80194 1.91115 1.00000 -0.44504 -1.65248 -1.97766 -1.24698 0.14946 1.46610 2.00000 0.00000 0.00000 2.00000 1.46610 0.14946 -1.24698 -1.97766 -1.65248 -0.44504 1.00000 1.91115 1.80194 0.73068 -0.73068 -1.80194 -1.91115 -1.00000 0.44504 1.65248 1.97766 1.24698 -0.14946 -1.46610 -2.00000 -1.46610 -0.14946 1.24698 1.97766 1.65248 0.44504 -1.00000 -1.91115 -1.80194 -0.73068 0.73068 1.80194 1.91115 1.00000 -0.44504 -1.65248 -1.97766 -1.24698 0.14946 1.46610 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E11g 2.00000 1.36035 -0.14946 -1.56366 -1.97766 -1.12664 0.44504 1.73205 1.91115 0.86777 -0.73068 -1.86175 -1.80194 -0.58951 1.00000 1.94986 1.65248 0.29808 -1.24698 -1.99441 -1.46610 0.00000 1.46610 1.99441 1.24698 -0.29808 -1.65248 -1.94986 -1.00000 0.58951 1.80194 1.86175 0.73068 -0.86777 -1.91115 -1.73205 -0.44504 1.12664 1.97766 1.56366 0.14946 -1.36035 -2.00000 0.00000 0.00000 2.00000 -1.36035 0.14946 1.56366 1.97766 1.12664 -0.44504 -1.73205 -1.91115 -0.86777 0.73068 1.86175 1.80194 0.58951 -1.00000 -1.94986 -1.65248 -0.29808 1.24698 1.99441 1.46610 0.00000 -1.46610 -1.99441 -1.24698 0.29808 1.65248 1.94986 1.00000 -0.58951 -1.80194 -1.86175 -0.73068 0.86777 1.91115 1.73205 0.44504 -1.12664 -1.97766 -1.56366 -0.14946 1.36035 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E12g 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 0.00000 0.00000 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E13g 2.00000 1.12664 -0.73068 -1.94986 -1.46610 0.29808 1.80194 1.73205 0.14946 -1.56366 -1.91115 -0.58951 1.24698 1.99441 1.00000 -0.86777 -1.97766 -1.36035 0.44504 1.86175 1.65248 0.00000 -1.65248 -1.86175 -0.44504 1.36035 1.97766 0.86777 -1.00000 -1.99441 -1.24698 0.58951 1.91115 1.56366 -0.14946 -1.73205 -1.80194 -0.29808 1.46610 1.94986 0.73068 -1.12664 -2.00000 0.00000 0.00000 2.00000 -1.12664 0.73068 1.94986 1.46610 -0.29808 -1.80194 -1.73205 -0.14946 1.56366 1.91115 0.58951 -1.24698 -1.99441 -1.00000 0.86777 1.97766 1.36035 -0.44504 -1.86175 -1.65248 0.00000 1.65248 1.86175 0.44504 -1.36035 -1.97766 -0.86777 1.00000 1.99441 1.24698 -0.58951 -1.91115 -1.56366 0.14946 1.73205 1.80194 0.29808 -1.46610 -1.94986 -0.73068 1.12664 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E14g 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 0.00000 0.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E15g 2.00000 0.86777 -1.24698 -1.94986 -0.44504 1.56366 1.80194 0.00000 -1.80194 -1.56366 0.44504 1.94986 1.24698 -0.86777 -2.00000 -0.86777 1.24698 1.94986 0.44504 -1.56366 -1.80194 0.00000 1.80194 1.56366 -0.44504 -1.94986 -1.24698 0.86777 2.00000 0.86777 -1.24698 -1.94986 -0.44504 1.56366 1.80194 0.00000 -1.80194 -1.56366 0.44504 1.94986 1.24698 -0.86777 -2.00000 0.00000 0.00000 2.00000 -0.86777 1.24698 1.94986 0.44504 -1.56366 -1.80194 0.00000 1.80194 1.56366 -0.44504 -1.94986 -1.24698 0.86777 2.00000 0.86777 -1.24698 -1.94986 -0.44504 1.56366 1.80194 0.00000 -1.80194 -1.56366 0.44504 1.94986 1.24698 -0.86777 -2.00000 -0.86777 1.24698 1.94986 0.44504 -1.56366 -1.80194 0.00000 1.80194 1.56366 -0.44504 -1.94986 -1.24698 0.86777 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E16g 2.00000 0.73068 -1.46610 -1.80194 0.14946 1.91115 1.24698 -1.00000 -1.97766 -0.44504 1.65248 1.65248 -0.44504 -1.97766 -1.00000 1.24698 1.91115 0.14946 -1.80194 -1.46610 0.73068 2.00000 0.73068 -1.46610 -1.80194 0.14946 1.91115 1.24698 -1.00000 -1.97766 -0.44504 1.65248 1.65248 -0.44504 -1.97766 -1.00000 1.24698 1.91115 0.14946 -1.80194 -1.46610 0.73068 2.00000 0.00000 0.00000 2.00000 0.73068 -1.46610 -1.80194 0.14946 1.91115 1.24698 -1.00000 -1.97766 -0.44504 1.65248 1.65248 -0.44504 -1.97766 -1.00000 1.24698 1.91115 0.14946 -1.80194 -1.46610 0.73068 2.00000 0.73068 -1.46610 -1.80194 0.14946 1.91115 1.24698 -1.00000 -1.97766 -0.44504 1.65248 1.65248 -0.44504 -1.97766 -1.00000 1.24698 1.91115 0.14946 -1.80194 -1.46610 0.73068 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E17g 2.00000 0.58951 -1.65248 -1.56366 0.73068 1.99441 0.44504 -1.73205 -1.46610 0.86777 1.97766 0.29808 -1.80194 -1.36035 1.00000 1.94986 0.14946 -1.86175 -1.24698 1.12664 1.91115 0.00000 -1.91115 -1.12664 1.24698 1.86175 -0.14946 -1.94986 -1.00000 1.36035 1.80194 -0.29808 -1.97766 -0.86777 1.46610 1.73205 -0.44504 -1.99441 -0.73068 1.56366 1.65248 -0.58951 -2.00000 0.00000 0.00000 2.00000 -0.58951 1.65248 1.56366 -0.73068 -1.99441 -0.44504 1.73205 1.46610 -0.86777 -1.97766 -0.29808 1.80194 1.36035 -1.00000 -1.94986 -0.14946 1.86175 1.24698 -1.12664 -1.91115 0.00000 1.91115 1.12664 -1.24698 -1.86175 0.14946 1.94986 1.00000 -1.36035 -1.80194 0.29808 1.97766 0.86777 -1.46610 -1.73205 0.44504 1.99441 0.73068 -1.56366 -1.65248 0.58951 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E18g 2.00000 0.44504 -1.80194 -1.24698 1.24698 1.80194 -0.44504 -2.00000 -0.44504 1.80194 1.24698 -1.24698 -1.80194 0.44504 2.00000 0.44504 -1.80194 -1.24698 1.24698 1.80194 -0.44504 -2.00000 -0.44504 1.80194 1.24698 -1.24698 -1.80194 0.44504 2.00000 0.44504 -1.80194 -1.24698 1.24698 1.80194 -0.44504 -2.00000 -0.44504 1.80194 1.24698 -1.24698 -1.80194 0.44504 2.00000 0.00000 0.00000 2.00000 0.44504 -1.80194 -1.24698 1.24698 1.80194 -0.44504 -2.00000 -0.44504 1.80194 1.24698 -1.24698 -1.80194 0.44504 2.00000 0.44504 -1.80194 -1.24698 1.24698 1.80194 -0.44504 -2.00000 -0.44504 1.80194 1.24698 -1.24698 -1.80194 0.44504 2.00000 0.44504 -1.80194 -1.24698 1.24698 1.80194 -0.44504 -2.00000 -0.44504 1.80194 1.24698 -1.24698 -1.80194 0.44504 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E19g 2.00000 0.29808 -1.91115 -0.86777 1.65248 1.36035 -1.24698 -1.73205 0.73068 1.94986 -0.14946 -1.99441 -0.44504 1.86175 1.00000 -1.56366 -1.46610 1.12664 1.80194 -0.58951 -1.97766 0.00000 1.97766 0.58951 -1.80194 -1.12664 1.46610 1.56366 -1.00000 -1.86175 0.44504 1.99441 0.14946 -1.94986 -0.73068 1.73205 1.24698 -1.36035 -1.65248 0.86777 1.91115 -0.29808 -2.00000 0.00000 0.00000 2.00000 -0.29808 1.91115 0.86777 -1.65248 -1.36035 1.24698 1.73205 -0.73068 -1.94986 0.14946 1.99441 0.44504 -1.86175 -1.00000 1.56366 1.46610 -1.12664 -1.80194 0.58951 1.97766 0.00000 -1.97766 -0.58951 1.80194 1.12664 -1.46610 -1.56366 1.00000 1.86175 -0.44504 -1.99441 -0.14946 1.94986 0.73068 -1.73205 -1.24698 1.36035 1.65248 -0.86777 -1.91115 0.29808 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E20g 2.00000 0.14946 -1.97766 -0.44504 1.91115 0.73068 -1.80194 -1.00000 1.65248 1.24698 -1.46610 -1.46610 1.24698 1.65248 -1.00000 -1.80194 0.73068 1.91115 -0.44504 -1.97766 0.14946 2.00000 0.14946 -1.97766 -0.44504 1.91115 0.73068 -1.80194 -1.00000 1.65248 1.24698 -1.46610 -1.46610 1.24698 1.65248 -1.00000 -1.80194 0.73068 1.91115 -0.44504 -1.97766 0.14946 2.00000 0.00000 0.00000 2.00000 0.14946 -1.97766 -0.44504 1.91115 0.73068 -1.80194 -1.00000 1.65248 1.24698 -1.46610 -1.46610 1.24698 1.65248 -1.00000 -1.80194 0.73068 1.91115 -0.44504 -1.97766 0.14946 2.00000 0.14946 -1.97766 -0.44504 1.91115 0.73068 -1.80194 -1.00000 1.65248 1.24698 -1.46610 -1.46610 1.24698 1.65248 -1.00000 -1.80194 0.73068 1.91115 -0.44504 -1.97766 0.14946 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E21g 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 0.00000 2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E22g 2.00000 -0.14946 -1.97766 0.44504 1.91115 -0.73068 -1.80194 1.00000 1.65248 -1.24698 -1.46610 1.46610 1.24698 -1.65248 -1.00000 1.80194 0.73068 -1.91115 -0.44504 1.97766 0.14946 -2.00000 0.14946 1.97766 -0.44504 -1.91115 0.73068 1.80194 -1.00000 -1.65248 1.24698 1.46610 -1.46610 -1.24698 1.65248 1.00000 -1.80194 -0.73068 1.91115 0.44504 -1.97766 -0.14946 2.00000 0.00000 0.00000 2.00000 -0.14946 -1.97766 0.44504 1.91115 -0.73068 -1.80194 1.00000 1.65248 -1.24698 -1.46610 1.46610 1.24698 -1.65248 -1.00000 1.80194 0.73068 -1.91115 -0.44504 1.97766 0.14946 -2.00000 0.14946 1.97766 -0.44504 -1.91115 0.73068 1.80194 -1.00000 -1.65248 1.24698 1.46610 -1.46610 -1.24698 1.65248 1.00000 -1.80194 -0.73068 1.91115 0.44504 -1.97766 -0.14946 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E23g 2.00000 -0.29808 -1.91115 0.86777 1.65248 -1.36035 -1.24698 1.73205 0.73068 -1.94986 -0.14946 1.99441 -0.44504 -1.86175 1.00000 1.56366 -1.46610 -1.12664 1.80194 0.58951 -1.97766 0.00000 1.97766 -0.58951 -1.80194 1.12664 1.46610 -1.56366 -1.00000 1.86175 0.44504 -1.99441 0.14946 1.94986 -0.73068 -1.73205 1.24698 1.36035 -1.65248 -0.86777 1.91115 0.29808 -2.00000 0.00000 0.00000 2.00000 0.29808 1.91115 -0.86777 -1.65248 1.36035 1.24698 -1.73205 -0.73068 1.94986 0.14946 -1.99441 0.44504 1.86175 -1.00000 -1.56366 1.46610 1.12664 -1.80194 -0.58951 1.97766 0.00000 -1.97766 0.58951 1.80194 -1.12664 -1.46610 1.56366 1.00000 -1.86175 -0.44504 1.99441 -0.14946 -1.94986 0.73068 1.73205 -1.24698 -1.36035 1.65248 0.86777 -1.91115 -0.29808 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E24g 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 0.00000 0.00000 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E25g 2.00000 -0.58951 -1.65248 1.56366 0.73068 -1.99441 0.44504 1.73205 -1.46610 -0.86777 1.97766 -0.29808 -1.80194 1.36035 1.00000 -1.94986 0.14946 1.86175 -1.24698 -1.12664 1.91115 0.00000 -1.91115 1.12664 1.24698 -1.86175 -0.14946 1.94986 -1.00000 -1.36035 1.80194 0.29808 -1.97766 0.86777 1.46610 -1.73205 -0.44504 1.99441 -0.73068 -1.56366 1.65248 0.58951 -2.00000 0.00000 0.00000 2.00000 0.58951 1.65248 -1.56366 -0.73068 1.99441 -0.44504 -1.73205 1.46610 0.86777 -1.97766 0.29808 1.80194 -1.36035 -1.00000 1.94986 -0.14946 -1.86175 1.24698 1.12664 -1.91115 0.00000 1.91115 -1.12664 -1.24698 1.86175 0.14946 -1.94986 1.00000 1.36035 -1.80194 -0.29808 1.97766 -0.86777 -1.46610 1.73205 0.44504 -1.99441 0.73068 1.56366 -1.65248 -0.58951 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E26g 2.00000 -0.73068 -1.46610 1.80194 0.14946 -1.91115 1.24698 1.00000 -1.97766 0.44504 1.65248 -1.65248 -0.44504 1.97766 -1.00000 -1.24698 1.91115 -0.14946 -1.80194 1.46610 0.73068 -2.00000 0.73068 1.46610 -1.80194 -0.14946 1.91115 -1.24698 -1.00000 1.97766 -0.44504 -1.65248 1.65248 0.44504 -1.97766 1.00000 1.24698 -1.91115 0.14946 1.80194 -1.46610 -0.73068 2.00000 0.00000 0.00000 2.00000 -0.73068 -1.46610 1.80194 0.14946 -1.91115 1.24698 1.00000 -1.97766 0.44504 1.65248 -1.65248 -0.44504 1.97766 -1.00000 -1.24698 1.91115 -0.14946 -1.80194 1.46610 0.73068 -2.00000 0.73068 1.46610 -1.80194 -0.14946 1.91115 -1.24698 -1.00000 1.97766 -0.44504 -1.65248 1.65248 0.44504 -1.97766 1.00000 1.24698 -1.91115 0.14946 1.80194 -1.46610 -0.73068 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E27g 2.00000 -0.86777 -1.24698 1.94986 -0.44504 -1.56366 1.80194 0.00000 -1.80194 1.56366 0.44504 -1.94986 1.24698 0.86777 -2.00000 0.86777 1.24698 -1.94986 0.44504 1.56366 -1.80194 0.00000 1.80194 -1.56366 -0.44504 1.94986 -1.24698 -0.86777 2.00000 -0.86777 -1.24698 1.94986 -0.44504 -1.56366 1.80194 0.00000 -1.80194 1.56366 0.44504 -1.94986 1.24698 0.86777 -2.00000 0.00000 0.00000 2.00000 0.86777 1.24698 -1.94986 0.44504 1.56366 -1.80194 0.00000 1.80194 -1.56366 -0.44504 1.94986 -1.24698 -0.86777 2.00000 -0.86777 -1.24698 1.94986 -0.44504 -1.56366 1.80194 0.00000 -1.80194 1.56366 0.44504 -1.94986 1.24698 0.86777 -2.00000 0.86777 1.24698 -1.94986 0.44504 1.56366 -1.80194 0.00000 1.80194 -1.56366 -0.44504 1.94986 -1.24698 -0.86777 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E28g 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 0.00000 0.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E29g 2.00000 -1.12664 -0.73068 1.94986 -1.46610 -0.29808 1.80194 -1.73205 0.14946 1.56366 -1.91115 0.58951 1.24698 -1.99441 1.00000 0.86777 -1.97766 1.36035 0.44504 -1.86175 1.65248 0.00000 -1.65248 1.86175 -0.44504 -1.36035 1.97766 -0.86777 -1.00000 1.99441 -1.24698 -0.58951 1.91115 -1.56366 -0.14946 1.73205 -1.80194 0.29808 1.46610 -1.94986 0.73068 1.12664 -2.00000 0.00000 0.00000 2.00000 1.12664 0.73068 -1.94986 1.46610 0.29808 -1.80194 1.73205 -0.14946 -1.56366 1.91115 -0.58951 -1.24698 1.99441 -1.00000 -0.86777 1.97766 -1.36035 -0.44504 1.86175 -1.65248 0.00000 1.65248 -1.86175 0.44504 1.36035 -1.97766 0.86777 1.00000 -1.99441 1.24698 0.58951 -1.91115 1.56366 0.14946 -1.73205 1.80194 -0.29808 -1.46610 1.94986 -0.73068 -1.12664 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E30g 2.00000 -1.24698 -0.44504 1.80194 -1.80194 0.44504 1.24698 -2.00000 1.24698 0.44504 -1.80194 1.80194 -0.44504 -1.24698 2.00000 -1.24698 -0.44504 1.80194 -1.80194 0.44504 1.24698 -2.00000 1.24698 0.44504 -1.80194 1.80194 -0.44504 -1.24698 2.00000 -1.24698 -0.44504 1.80194 -1.80194 0.44504 1.24698 -2.00000 1.24698 0.44504 -1.80194 1.80194 -0.44504 -1.24698 2.00000 0.00000 0.00000 2.00000 -1.24698 -0.44504 1.80194 -1.80194 0.44504 1.24698 -2.00000 1.24698 0.44504 -1.80194 1.80194 -0.44504 -1.24698 2.00000 -1.24698 -0.44504 1.80194 -1.80194 0.44504 1.24698 -2.00000 1.24698 0.44504 -1.80194 1.80194 -0.44504 -1.24698 2.00000 -1.24698 -0.44504 1.80194 -1.80194 0.44504 1.24698 -2.00000 1.24698 0.44504 -1.80194 1.80194 -0.44504 -1.24698 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E31g 2.00000 -1.36035 -0.14946 1.56366 -1.97766 1.12664 0.44504 -1.73205 1.91115 -0.86777 -0.73068 1.86175 -1.80194 0.58951 1.00000 -1.94986 1.65248 -0.29808 -1.24698 1.99441 -1.46610 0.00000 1.46610 -1.99441 1.24698 0.29808 -1.65248 1.94986 -1.00000 -0.58951 1.80194 -1.86175 0.73068 0.86777 -1.91115 1.73205 -0.44504 -1.12664 1.97766 -1.56366 0.14946 1.36035 -2.00000 0.00000 0.00000 2.00000 1.36035 0.14946 -1.56366 1.97766 -1.12664 -0.44504 1.73205 -1.91115 0.86777 0.73068 -1.86175 1.80194 -0.58951 -1.00000 1.94986 -1.65248 0.29808 1.24698 -1.99441 1.46610 0.00000 -1.46610 1.99441 -1.24698 -0.29808 1.65248 -1.94986 1.00000 0.58951 -1.80194 1.86175 -0.73068 -0.86777 1.91115 -1.73205 0.44504 1.12664 -1.97766 1.56366 -0.14946 -1.36035 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E32g 2.00000 -1.46610 0.14946 1.24698 -1.97766 1.65248 -0.44504 -1.00000 1.91115 -1.80194 0.73068 0.73068 -1.80194 1.91115 -1.00000 -0.44504 1.65248 -1.97766 1.24698 0.14946 -1.46610 2.00000 -1.46610 0.14946 1.24698 -1.97766 1.65248 -0.44504 -1.00000 1.91115 -1.80194 0.73068 0.73068 -1.80194 1.91115 -1.00000 -0.44504 1.65248 -1.97766 1.24698 0.14946 -1.46610 2.00000 0.00000 0.00000 2.00000 -1.46610 0.14946 1.24698 -1.97766 1.65248 -0.44504 -1.00000 1.91115 -1.80194 0.73068 0.73068 -1.80194 1.91115 -1.00000 -0.44504 1.65248 -1.97766 1.24698 0.14946 -1.46610 2.00000 -1.46610 0.14946 1.24698 -1.97766 1.65248 -0.44504 -1.00000 1.91115 -1.80194 0.73068 0.73068 -1.80194 1.91115 -1.00000 -0.44504 1.65248 -1.97766 1.24698 0.14946 -1.46610 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E33g 2.00000 -1.56366 0.44504 0.86777 -1.80194 1.94986 -1.24698 0.00000 1.24698 -1.94986 1.80194 -0.86777 -0.44504 1.56366 -2.00000 1.56366 -0.44504 -0.86777 1.80194 -1.94986 1.24698 0.00000 -1.24698 1.94986 -1.80194 0.86777 0.44504 -1.56366 2.00000 -1.56366 0.44504 0.86777 -1.80194 1.94986 -1.24698 0.00000 1.24698 -1.94986 1.80194 -0.86777 -0.44504 1.56366 -2.00000 0.00000 0.00000 2.00000 1.56366 -0.44504 -0.86777 1.80194 -1.94986 1.24698 0.00000 -1.24698 1.94986 -1.80194 0.86777 0.44504 -1.56366 2.00000 -1.56366 0.44504 0.86777 -1.80194 1.94986 -1.24698 0.00000 1.24698 -1.94986 1.80194 -0.86777 -0.44504 1.56366 -2.00000 1.56366 -0.44504 -0.86777 1.80194 -1.94986 1.24698 0.00000 -1.24698 1.94986 -1.80194 0.86777 0.44504 -1.56366 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E34g 2.00000 -1.65248 0.73068 0.44504 -1.46610 1.97766 -1.80194 1.00000 0.14946 -1.24698 1.91115 -1.91115 1.24698 -0.14946 -1.00000 1.80194 -1.97766 1.46610 -0.44504 -0.73068 1.65248 -2.00000 1.65248 -0.73068 -0.44504 1.46610 -1.97766 1.80194 -1.00000 -0.14946 1.24698 -1.91115 1.91115 -1.24698 0.14946 1.00000 -1.80194 1.97766 -1.46610 0.44504 0.73068 -1.65248 2.00000 0.00000 0.00000 2.00000 -1.65248 0.73068 0.44504 -1.46610 1.97766 -1.80194 1.00000 0.14946 -1.24698 1.91115 -1.91115 1.24698 -0.14946 -1.00000 1.80194 -1.97766 1.46610 -0.44504 -0.73068 1.65248 -2.00000 1.65248 -0.73068 -0.44504 1.46610 -1.97766 1.80194 -1.00000 -0.14946 1.24698 -1.91115 1.91115 -1.24698 0.14946 1.00000 -1.80194 1.97766 -1.46610 0.44504 0.73068 -1.65248 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E35g 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 1.73205 -1.00000 0.00000 1.00000 -1.73205 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 1.73205 -1.00000 0.00000 1.00000 -1.73205 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 1.73205 -1.00000 0.00000 1.00000 -1.73205 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 0.00000 0.00000 2.00000 1.73205 -1.00000 0.00000 1.00000 -1.73205 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 1.73205 -1.00000 0.00000 1.00000 -1.73205 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 1.73205 -1.00000 0.00000 1.00000 -1.73205 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 1.73205 -1.00000 0.00000 1.00000 -1.73205 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E36g 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 0.00000 0.00000 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E37g 2.00000 -1.86175 1.46610 -0.86777 0.14946 0.58951 -1.24698 1.73205 -1.97766 1.94986 -1.65248 1.12664 -0.44504 -0.29808 1.00000 -1.56366 1.91115 -1.99441 1.80194 -1.36035 0.73068 0.00000 -0.73068 1.36035 -1.80194 1.99441 -1.91115 1.56366 -1.00000 0.29808 0.44504 -1.12664 1.65248 -1.94986 1.97766 -1.73205 1.24698 -0.58951 -0.14946 0.86777 -1.46610 1.86175 -2.00000 0.00000 0.00000 2.00000 1.86175 -1.46610 0.86777 -0.14946 -0.58951 1.24698 -1.73205 1.97766 -1.94986 1.65248 -1.12664 0.44504 0.29808 -1.00000 1.56366 -1.91115 1.99441 -1.80194 1.36035 -0.73068 0.00000 0.73068 -1.36035 1.80194 -1.99441 1.91115 -1.56366 1.00000 -0.29808 -0.44504 1.12664 -1.65248 1.94986 -1.97766 1.73205 -1.24698 0.58951 0.14946 -0.86777 1.46610 -1.86175 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E38g 2.00000 -1.91115 1.65248 -1.24698 0.73068 -0.14946 -0.44504 1.00000 -1.46610 1.80194 -1.97766 1.97766 -1.80194 1.46610 -1.00000 0.44504 0.14946 -0.73068 1.24698 -1.65248 1.91115 -2.00000 1.91115 -1.65248 1.24698 -0.73068 0.14946 0.44504 -1.00000 1.46610 -1.80194 1.97766 -1.97766 1.80194 -1.46610 1.00000 -0.44504 -0.14946 0.73068 -1.24698 1.65248 -1.91115 2.00000 0.00000 0.00000 2.00000 -1.91115 1.65248 -1.24698 0.73068 -0.14946 -0.44504 1.00000 -1.46610 1.80194 -1.97766 1.97766 -1.80194 1.46610 -1.00000 0.44504 0.14946 -0.73068 1.24698 -1.65248 1.91115 -2.00000 1.91115 -1.65248 1.24698 -0.73068 0.14946 0.44504 -1.00000 1.46610 -1.80194 1.97766 -1.97766 1.80194 -1.46610 1.00000 -0.44504 -0.14946 0.73068 -1.24698 1.65248 -1.91115 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E39g 2.00000 -1.94986 1.80194 -1.56366 1.24698 -0.86777 0.44504 0.00000 -0.44504 0.86777 -1.24698 1.56366 -1.80194 1.94986 -2.00000 1.94986 -1.80194 1.56366 -1.24698 0.86777 -0.44504 0.00000 0.44504 -0.86777 1.24698 -1.56366 1.80194 -1.94986 2.00000 -1.94986 1.80194 -1.56366 1.24698 -0.86777 0.44504 0.00000 -0.44504 0.86777 -1.24698 1.56366 -1.80194 1.94986 -2.00000 0.00000 0.00000 2.00000 1.94986 -1.80194 1.56366 -1.24698 0.86777 -0.44504 0.00000 0.44504 -0.86777 1.24698 -1.56366 1.80194 -1.94986 2.00000 -1.94986 1.80194 -1.56366 1.24698 -0.86777 0.44504 0.00000 -0.44504 0.86777 -1.24698 1.56366 -1.80194 1.94986 -2.00000 1.94986 -1.80194 1.56366 -1.24698 0.86777 -0.44504 0.00000 0.44504 -0.86777 1.24698 -1.56366 1.80194 -1.94986 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E40g 2.00000 -1.97766 1.91115 -1.80194 1.65248 -1.46610 1.24698 -1.00000 0.73068 -0.44504 0.14946 0.14946 -0.44504 0.73068 -1.00000 1.24698 -1.46610 1.65248 -1.80194 1.91115 -1.97766 2.00000 -1.97766 1.91115 -1.80194 1.65248 -1.46610 1.24698 -1.00000 0.73068 -0.44504 0.14946 0.14946 -0.44504 0.73068 -1.00000 1.24698 -1.46610 1.65248 -1.80194 1.91115 -1.97766 2.00000 0.00000 0.00000 2.00000 -1.97766 1.91115 -1.80194 1.65248 -1.46610 1.24698 -1.00000 0.73068 -0.44504 0.14946 0.14946 -0.44504 0.73068 -1.00000 1.24698 -1.46610 1.65248 -1.80194 1.91115 -1.97766 2.00000 -1.97766 1.91115 -1.80194 1.65248 -1.46610 1.24698 -1.00000 0.73068 -0.44504 0.14946 0.14946 -0.44504 0.73068 -1.00000 1.24698 -1.46610 1.65248 -1.80194 1.91115 -1.97766 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E41g 2.00000 -1.99441 1.97766 -1.94986 1.91115 -1.86175 1.80194 -1.73205 1.65248 -1.56366 1.46610 -1.36035 1.24698 -1.12664 1.00000 -0.86777 0.73068 -0.58951 0.44504 -0.29808 0.14946 0.00000 -0.14946 0.29808 -0.44504 0.58951 -0.73068 0.86777 -1.00000 1.12664 -1.24698 1.36035 -1.46610 1.56366 -1.65248 1.73205 -1.80194 1.86175 -1.91115 1.94986 -1.97766 1.99441 -2.00000 0.00000 0.00000 2.00000 1.99441 -1.97766 1.94986 -1.91115 1.86175 -1.80194 1.73205 -1.65248 1.56366 -1.46610 1.36035 -1.24698 1.12664 -1.00000 0.86777 -0.73068 0.58951 -0.44504 0.29808 -0.14946 0.00000 0.14946 -0.29808 0.44504 -0.58951 0.73068 -0.86777 1.00000 -1.12664 1.24698 -1.36035 1.46610 -1.56366 1.65248 -1.73205 1.80194 -1.86175 1.91115 -1.94986 1.97766 -1.99441 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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B1u 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 1.00000 -1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 -1.00000 1.00000 ... ... ..... ....... ......... ........... ............. B2u 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 ... ... ..... ....... ......... ........... ............. E1u 2.00000 1.99441 1.97766 1.94986 1.91115 1.86175 1.80194 1.73205 1.65248 1.56366 1.46610 1.36035 1.24698 1.12664 1.00000 0.86777 0.73068 0.58951 0.44504 0.29808 0.14946 0.00000 -0.14946 -0.29808 -0.44504 -0.58951 -0.73068 -0.86777 -1.00000 -1.12664 -1.24698 -1.36035 -1.46610 -1.56366 -1.65248 -1.73205 -1.80194 -1.86175 -1.91115 -1.94986 -1.97766 -1.99441 -2.00000 0.00000 0.00000 -2.00000 1.99441 1.97766 1.94986 1.91115 1.86175 1.80194 1.73205 1.65248 1.56366 1.46610 1.36035 1.24698 1.12664 1.00000 0.86777 0.73068 0.58951 0.44504 0.29808 0.14946 0.00000 -0.14946 -0.29808 -0.44504 -0.58951 -0.73068 -0.86777 -1.00000 -1.12664 -1.24698 -1.36035 -1.46610 -1.56366 -1.65248 -1.73205 -1.80194 -1.86175 -1.91115 -1.94986 -1.97766 -1.99441 2.00000 0.00000 0.00000 ... TT. ..... ....TT. ......... ........TT. ............. 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E40u 2.00000 -1.97766 1.91115 -1.80194 1.65248 -1.46610 1.24698 -1.00000 0.73068 -0.44504 0.14946 0.14946 -0.44504 0.73068 -1.00000 1.24698 -1.46610 1.65248 -1.80194 1.91115 -1.97766 2.00000 -1.97766 1.91115 -1.80194 1.65248 -1.46610 1.24698 -1.00000 0.73068 -0.44504 0.14946 0.14946 -0.44504 0.73068 -1.00000 1.24698 -1.46610 1.65248 -1.80194 1.91115 -1.97766 2.00000 0.00000 0.00000 -2.00000 1.97766 -1.91115 1.80194 -1.65248 1.46610 -1.24698 1.00000 -0.73068 0.44504 -0.14946 -0.14946 0.44504 -0.73068 1.00000 -1.24698 1.46610 -1.65248 1.80194 -1.91115 1.97766 -2.00000 1.97766 -1.91115 1.80194 -1.65248 1.46610 -1.24698 1.00000 -0.73068 0.44504 -0.14946 -0.14946 0.44504 -0.73068 1.00000 -1.24698 1.46610 -1.65248 1.80194 -1.91115 1.97766 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E41u 2.00000 -1.99441 1.97766 -1.94986 1.91115 -1.86175 1.80194 -1.73205 1.65248 -1.56366 1.46610 -1.36035 1.24698 -1.12664 1.00000 -0.86777 0.73068 -0.58951 0.44504 -0.29808 0.14946 0.00000 -0.14946 0.29808 -0.44504 0.58951 -0.73068 0.86777 -1.00000 1.12664 -1.24698 1.36035 -1.46610 1.56366 -1.65248 1.73205 -1.80194 1.86175 -1.91115 1.94986 -1.97766 1.99441 -2.00000 0.00000 0.00000 -2.00000 -1.99441 1.97766 -1.94986 1.91115 -1.86175 1.80194 -1.73205 1.65248 -1.56366 1.46610 -1.36035 1.24698 -1.12664 1.00000 -0.86777 0.73068 -0.58951 0.44504 -0.29808 0.14946 0.00000 -0.14946 0.29808 -0.44504 0.58951 -0.73068 0.86777 -1.00000 1.12664 -1.24698 1.36035 -1.46610 1.56366 -1.65248 1.73205 -1.80194 1.86175 -1.91115 1.94986 -1.97766 1.99441 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.994407594362 = 2*cos(2*π/84) = 2*cos(π/42) 1.977661652450 = 2*cos(4*π/84) = 2*cos(π/21) 1.949855824364 = 2*cos(6*π/84) = 2*cos(π/14) 1.911145611572 = 2*cos(8*π/84) = 2*cos(2*π/21) 1.861747497288 = 2*cos(10*π/84) = 2*cos(5*π/42) 1.801937735805 = 2*cos(12*π/84) = 2*cos(π/7) 1.732050807569 = 2*cos(14*π/84) = 2*cos(π/6) = √3 1.652477548632 = 2*cos(16*π/84) = 2*cos(4*π/21) 1.563662964936 = 2*cos(18*π/84) = 2*cos(3*π/14) 1.466103743660 = 2*cos(20*π/84) = 2*cos(5*π/21) 1.360345475542 = 2*cos(22*π/84) = 2*cos(11*π/42) 1.246979603717 = 2*cos(24*π/84) = 2*cos(2*π/7) 1.126640116127 = 2*cos(26*π/84) = 2*cos(13*π/42) 0.867767478235 = 2*cos(30*π/84) = 2*cos(5*π/14) 0.730682048733 = 2*cos(32*π/84) = 2*cos(8*π/21) 0.589510348822 = 2*cos(34*π/84) = 2*cos(17*π/42) 0.445041867913 = 2*cos(36*π/84) = 2*cos(3*π/7) 0.298084532352 = 2*cos(38*π/84) = 2*cos(19*π/42) 0.149460187173 = 2*cos(40*π/84) = 2*cos(10*π/21) 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 D84h point group is 336, and the order of the principal axis (C84) is 84. The group has 90 irreducible representations. β The D84h point group is generated by three symmetry elements that are canonically chosen C84, C2′ and i. Other choices include σh instead of i, or any of C2″, σv or σd instead of C2′. Also, some ternary combinations of C2′, C2″, σv and σd act as generators. Lastly, the S84 can be chosen, together with i or σh and any one of C2′, C2″, σv or σd. γ There are two different sets of twofold symmetry axes perpendicular to the principal axis (z axis in standard orientation). By convention, the set denoted as C2′ contains both the x and y axes. δ There are two different sets of symmetry planes containing the principal axis (z axis in standard orientation). By convention, the set denoted as σv contains both the xz and the yz planes. ε The lowest nonvanishing multipole moment in D84h 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 much less than half the order of the principal axis. θ The point group corresponds to a polygon inconstructible by the classical means of ruler and compass. Yet it becomes constructible if angle trisection is allowed, e.g., with neusis construction or origami. This is because the order of the principal axis is given by a product of any number of different Pierpont primes (...,5,7,13,17,19,37,73,97,109,163,...) times arbitrary powers of two and three. While some characters of this group can be expressed using real integers and square roots alone, others need complex numbers and third roots.
D82h | ||
D83h | ||
C84 C84v C84h D84 | D84h | D84d S84 |
D85h | ||
D86h |
This Character Table for the D84h point group was created by Gernot Katzer.
For other groups and some explanations, see the Main Page.