D108h E 2 C108 2 C54 2 C36 2 C27 2 C108^5 2 C18 2 C108^7 2 C27^2 2 C12 2 C54^5 2 C108^11 2 C9 2 C108^13 2 C54^7 2 C36^5 2 C27^4 2 C108^17 2 C6 2 C108^19 2 C27^5 2 C36^7 2 C54^11 2 C108^23 2 C9^2 2 C108^25 2 C54^13 2 C4 2 C27^7 2 C108^29 2 C18^5 2 C108^31 2 C27^8 2 C36^11 2 C54^17 2 C108^35 2 C3 2 C108^37 2 C54^19 2 C36^13 2 C27^10 2 C108^41 2 C18^7 2 C108^43 2 C27^11 2 C12^5 2 C54^23 2 C108^47 2 C9^4 2 C108^49 2 C54^25 2 C36^17 2 C27^13 2 C108^53 C2 54 C2' 54 C2" i 2 S108 2 S54 2 S36 2 S27 2 S108^5 2 S18 2 S108^7 2 S27^2 2 S12 2 S54^5 2 S108^11 2 S9 2 S108^13 2 S54^7 2 S36^5 2 S27^4 2 S108^17 2 S6 2 S108^19 2 S27^5 2 S36^7 2 S54^11 2 S108^23 2 S9^2 2 S108^25 2 S54^13 2 S4 2 S27^7 2 S108^29 2 S18^5 2 S108^31 2 S27^8 2 S36^11 2 S54^17 2 S108^35 2 S3 2 S108^37 2 S54^19 2 S36^13 2 S27^10 2 S108^41 2 S18^7 2 S108^43 2 S27^11 2 S12^5 2 S54^23 2 S108^47 2 S9^4 2 S108^49 2 S54^25 2 S36^17 2 S27^13 2 S108^53 sh 54 sv 54 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 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 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 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 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 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -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 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -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 1.99662 1.98648 1.96962 1.94609 1.91598 1.87939 1.83643 1.78727 1.73205 1.67098 1.60425 1.53209 1.45475 1.37248 1.28558 1.19432 1.09902 1.00000 0.89760 0.79216 0.68404 0.57361 0.46123 0.34730 0.23219 0.11629 0.00000 -0.11629 -0.23219 -0.34730 -0.46123 -0.57361 -0.68404 -0.79216 -0.89760 -1.00000 -1.09902 -1.19432 -1.28558 -1.37248 -1.45475 -1.53209 -1.60425 -1.67098 -1.73205 -1.78727 -1.83643 -1.87939 -1.91598 -1.94609 -1.96962 -1.98648 -1.99662 -2.00000 0.00000 0.00000 2.00000 -1.99662 -1.98648 -1.96962 -1.94609 -1.91598 -1.87939 -1.83643 -1.78727 -1.73205 -1.67098 -1.60425 -1.53209 -1.45475 -1.37248 -1.28558 -1.19432 -1.09902 -1.00000 -0.89760 -0.79216 -0.68404 -0.57361 -0.46123 -0.34730 -0.23219 -0.11629 0.00000 0.11629 0.23219 0.34730 0.46123 0.57361 0.68404 0.79216 0.89760 1.00000 1.09902 1.19432 1.28558 1.37248 1.45475 1.53209 1.60425 1.67098 1.73205 1.78727 1.83643 1.87939 1.91598 1.94609 1.96962 1.98648 1.99662 -2.00000 0.00000 0.00000 TT. ... ..TT. ....... ......TT. ........... ..........TT. E2g 2.00000 1.98648 1.94609 1.87939 1.78727 1.67098 1.53209 1.37248 1.19432 1.00000 0.79216 0.57361 0.34730 0.11629 -0.11629 -0.34730 -0.57361 -0.79216 -1.00000 -1.19432 -1.37248 -1.53209 -1.67098 -1.78727 -1.87939 -1.94609 -1.98648 -2.00000 -1.98648 -1.94609 -1.87939 -1.78727 -1.67098 -1.53209 -1.37248 -1.19432 -1.00000 -0.79216 -0.57361 -0.34730 -0.11629 0.11629 0.34730 0.57361 0.79216 1.00000 1.19432 1.37248 1.53209 1.67098 1.78727 1.87939 1.94609 1.98648 2.00000 0.00000 0.00000 2.00000 1.98648 1.94609 1.87939 1.78727 1.67098 1.53209 1.37248 1.19432 1.00000 0.79216 0.57361 0.34730 0.11629 -0.11629 -0.34730 -0.57361 -0.79216 -1.00000 -1.19432 -1.37248 -1.53209 -1.67098 -1.78727 -1.87939 -1.94609 -1.98648 -2.00000 -1.98648 -1.94609 -1.87939 -1.78727 -1.67098 -1.53209 -1.37248 -1.19432 -1.00000 -0.79216 -0.57361 -0.34730 -0.11629 0.11629 0.34730 0.57361 0.79216 1.00000 1.19432 1.37248 1.53209 1.67098 1.78727 1.87939 1.94609 1.98648 2.00000 0.00000 0.00000 ... ... TT... ....... ....TT... ........... ........TT... E3g 2.00000 1.96962 1.87939 1.73205 1.53209 1.28558 1.00000 0.68404 0.34730 0.00000 -0.34730 -0.68404 -1.00000 -1.28558 -1.53209 -1.73205 -1.87939 -1.96962 -2.00000 -1.96962 -1.87939 -1.73205 -1.53209 -1.28558 -1.00000 -0.68404 -0.34730 0.00000 0.34730 0.68404 1.00000 1.28558 1.53209 1.73205 1.87939 1.96962 2.00000 1.96962 1.87939 1.73205 1.53209 1.28558 1.00000 0.68404 0.34730 0.00000 -0.34730 -0.68404 -1.00000 -1.28558 -1.53209 -1.73205 -1.87939 -1.96962 -2.00000 0.00000 0.00000 2.00000 -1.96962 -1.87939 -1.73205 -1.53209 -1.28558 -1.00000 -0.68404 -0.34730 0.00000 0.34730 0.68404 1.00000 1.28558 1.53209 1.73205 1.87939 1.96962 2.00000 1.96962 1.87939 1.73205 1.53209 1.28558 1.00000 0.68404 0.34730 0.00000 -0.34730 -0.68404 -1.00000 -1.28558 -1.53209 -1.73205 -1.87939 -1.96962 -2.00000 -1.96962 -1.87939 -1.73205 -1.53209 -1.28558 -1.00000 -0.68404 -0.34730 0.00000 0.34730 0.68404 1.00000 1.28558 1.53209 1.73205 1.87939 1.96962 -2.00000 0.00000 0.00000 ... ... ..... ....... ..TT..... ........... ......TT..... E4g 2.00000 1.94609 1.78727 1.53209 1.19432 0.79216 0.34730 -0.11629 -0.57361 -1.00000 -1.37248 -1.67098 -1.87939 -1.98648 -1.98648 -1.87939 -1.67098 -1.37248 -1.00000 -0.57361 -0.11629 0.34730 0.79216 1.19432 1.53209 1.78727 1.94609 2.00000 1.94609 1.78727 1.53209 1.19432 0.79216 0.34730 -0.11629 -0.57361 -1.00000 -1.37248 -1.67098 -1.87939 -1.98648 -1.98648 -1.87939 -1.67098 -1.37248 -1.00000 -0.57361 -0.11629 0.34730 0.79216 1.19432 1.53209 1.78727 1.94609 2.00000 0.00000 0.00000 2.00000 1.94609 1.78727 1.53209 1.19432 0.79216 0.34730 -0.11629 -0.57361 -1.00000 -1.37248 -1.67098 -1.87939 -1.98648 -1.98648 -1.87939 -1.67098 -1.37248 -1.00000 -0.57361 -0.11629 0.34730 0.79216 1.19432 1.53209 1.78727 1.94609 2.00000 1.94609 1.78727 1.53209 1.19432 0.79216 0.34730 -0.11629 -0.57361 -1.00000 -1.37248 -1.67098 -1.87939 -1.98648 -1.98648 -1.87939 -1.67098 -1.37248 -1.00000 -0.57361 -0.11629 0.34730 0.79216 1.19432 1.53209 1.78727 1.94609 2.00000 0.00000 0.00000 ... ... ..... ....... TT....... ........... ....TT....... E5g 2.00000 1.91598 1.67098 1.28558 0.79216 0.23219 -0.34730 -0.89760 -1.37248 -1.73205 -1.94609 -1.99662 -1.87939 -1.60425 -1.19432 -0.68404 -0.11629 0.46123 1.00000 1.45475 1.78727 1.96962 1.98648 1.83643 1.53209 1.09902 0.57361 0.00000 -0.57361 -1.09902 -1.53209 -1.83643 -1.98648 -1.96962 -1.78727 -1.45475 -1.00000 -0.46123 0.11629 0.68404 1.19432 1.60425 1.87939 1.99662 1.94609 1.73205 1.37248 0.89760 0.34730 -0.23219 -0.79216 -1.28558 -1.67098 -1.91598 -2.00000 0.00000 0.00000 2.00000 -1.91598 -1.67098 -1.28558 -0.79216 -0.23219 0.34730 0.89760 1.37248 1.73205 1.94609 1.99662 1.87939 1.60425 1.19432 0.68404 0.11629 -0.46123 -1.00000 -1.45475 -1.78727 -1.96962 -1.98648 -1.83643 -1.53209 -1.09902 -0.57361 0.00000 0.57361 1.09902 1.53209 1.83643 1.98648 1.96962 1.78727 1.45475 1.00000 0.46123 -0.11629 -0.68404 -1.19432 -1.60425 -1.87939 -1.99662 -1.94609 -1.73205 -1.37248 -0.89760 -0.34730 0.23219 0.79216 1.28558 1.67098 1.91598 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ..TT......... E6g 2.00000 1.87939 1.53209 1.00000 0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730 0.34730 1.00000 1.53209 1.87939 2.00000 1.87939 1.53209 1.00000 0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730 0.34730 1.00000 1.53209 1.87939 2.00000 1.87939 1.53209 1.00000 0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730 0.34730 1.00000 1.53209 1.87939 2.00000 0.00000 0.00000 2.00000 1.87939 1.53209 1.00000 0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730 0.34730 1.00000 1.53209 1.87939 2.00000 1.87939 1.53209 1.00000 0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730 0.34730 1.00000 1.53209 1.87939 2.00000 1.87939 1.53209 1.00000 0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730 0.34730 1.00000 1.53209 1.87939 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... TT........... E7g 2.00000 1.83643 1.37248 0.68404 -0.11629 -0.89760 -1.53209 -1.91598 -1.98648 -1.73205 -1.19432 -0.46123 0.34730 1.09902 1.67098 1.96962 1.94609 1.60425 1.00000 0.23219 -0.57361 -1.28558 -1.78727 -1.99662 -1.87939 -1.45475 -0.79216 0.00000 0.79216 1.45475 1.87939 1.99662 1.78727 1.28558 0.57361 -0.23219 -1.00000 -1.60425 -1.94609 -1.96962 -1.67098 -1.09902 -0.34730 0.46123 1.19432 1.73205 1.98648 1.91598 1.53209 0.89760 0.11629 -0.68404 -1.37248 -1.83643 -2.00000 0.00000 0.00000 2.00000 -1.83643 -1.37248 -0.68404 0.11629 0.89760 1.53209 1.91598 1.98648 1.73205 1.19432 0.46123 -0.34730 -1.09902 -1.67098 -1.96962 -1.94609 -1.60425 -1.00000 -0.23219 0.57361 1.28558 1.78727 1.99662 1.87939 1.45475 0.79216 0.00000 -0.79216 -1.45475 -1.87939 -1.99662 -1.78727 -1.28558 -0.57361 0.23219 1.00000 1.60425 1.94609 1.96962 1.67098 1.09902 0.34730 -0.46123 -1.19432 -1.73205 -1.98648 -1.91598 -1.53209 -0.89760 -0.11629 0.68404 1.37248 1.83643 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E8g 2.00000 1.78727 1.19432 0.34730 -0.57361 -1.37248 -1.87939 -1.98648 -1.67098 -1.00000 -0.11629 0.79216 1.53209 1.94609 1.94609 1.53209 0.79216 -0.11629 -1.00000 -1.67098 -1.98648 -1.87939 -1.37248 -0.57361 0.34730 1.19432 1.78727 2.00000 1.78727 1.19432 0.34730 -0.57361 -1.37248 -1.87939 -1.98648 -1.67098 -1.00000 -0.11629 0.79216 1.53209 1.94609 1.94609 1.53209 0.79216 -0.11629 -1.00000 -1.67098 -1.98648 -1.87939 -1.37248 -0.57361 0.34730 1.19432 1.78727 2.00000 0.00000 0.00000 2.00000 1.78727 1.19432 0.34730 -0.57361 -1.37248 -1.87939 -1.98648 -1.67098 -1.00000 -0.11629 0.79216 1.53209 1.94609 1.94609 1.53209 0.79216 -0.11629 -1.00000 -1.67098 -1.98648 -1.87939 -1.37248 -0.57361 0.34730 1.19432 1.78727 2.00000 1.78727 1.19432 0.34730 -0.57361 -1.37248 -1.87939 -1.98648 -1.67098 -1.00000 -0.11629 0.79216 1.53209 1.94609 1.94609 1.53209 0.79216 -0.11629 -1.00000 -1.67098 -1.98648 -1.87939 -1.37248 -0.57361 0.34730 1.19432 1.78727 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E9g 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 -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 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 ... ... ..... ....... ......... ........... ............. E10g 2.00000 1.67098 0.79216 -0.34730 -1.37248 -1.94609 -1.87939 -1.19432 -0.11629 1.00000 1.78727 1.98648 1.53209 0.57361 -0.57361 -1.53209 -1.98648 -1.78727 -1.00000 0.11629 1.19432 1.87939 1.94609 1.37248 0.34730 -0.79216 -1.67098 -2.00000 -1.67098 -0.79216 0.34730 1.37248 1.94609 1.87939 1.19432 0.11629 -1.00000 -1.78727 -1.98648 -1.53209 -0.57361 0.57361 1.53209 1.98648 1.78727 1.00000 -0.11629 -1.19432 -1.87939 -1.94609 -1.37248 -0.34730 0.79216 1.67098 2.00000 0.00000 0.00000 2.00000 1.67098 0.79216 -0.34730 -1.37248 -1.94609 -1.87939 -1.19432 -0.11629 1.00000 1.78727 1.98648 1.53209 0.57361 -0.57361 -1.53209 -1.98648 -1.78727 -1.00000 0.11629 1.19432 1.87939 1.94609 1.37248 0.34730 -0.79216 -1.67098 -2.00000 -1.67098 -0.79216 0.34730 1.37248 1.94609 1.87939 1.19432 0.11629 -1.00000 -1.78727 -1.98648 -1.53209 -0.57361 0.57361 1.53209 1.98648 1.78727 1.00000 -0.11629 -1.19432 -1.87939 -1.94609 -1.37248 -0.34730 0.79216 1.67098 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E11g 2.00000 1.60425 0.57361 -0.68404 -1.67098 -1.99662 -1.53209 -0.46123 0.79216 1.73205 1.98648 1.45475 0.34730 -0.89760 -1.78727 -1.96962 -1.37248 -0.23219 1.00000 1.83643 1.94609 1.28558 0.11629 -1.09902 -1.87939 -1.91598 -1.19432 0.00000 1.19432 1.91598 1.87939 1.09902 -0.11629 -1.28558 -1.94609 -1.83643 -1.00000 0.23219 1.37248 1.96962 1.78727 0.89760 -0.34730 -1.45475 -1.98648 -1.73205 -0.79216 0.46123 1.53209 1.99662 1.67098 0.68404 -0.57361 -1.60425 -2.00000 0.00000 0.00000 2.00000 -1.60425 -0.57361 0.68404 1.67098 1.99662 1.53209 0.46123 -0.79216 -1.73205 -1.98648 -1.45475 -0.34730 0.89760 1.78727 1.96962 1.37248 0.23219 -1.00000 -1.83643 -1.94609 -1.28558 -0.11629 1.09902 1.87939 1.91598 1.19432 0.00000 -1.19432 -1.91598 -1.87939 -1.09902 0.11629 1.28558 1.94609 1.83643 1.00000 -0.23219 -1.37248 -1.96962 -1.78727 -0.89760 0.34730 1.45475 1.98648 1.73205 0.79216 -0.46123 -1.53209 -1.99662 -1.67098 -0.68404 0.57361 1.60425 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E12g 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 0.00000 0.00000 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E13g 2.00000 1.45475 0.11629 -1.28558 -1.98648 -1.60425 -0.34730 1.09902 1.94609 1.73205 0.57361 -0.89760 -1.87939 -1.83643 -0.79216 0.68404 1.78727 1.91598 1.00000 -0.46123 -1.67098 -1.96962 -1.19432 0.23219 1.53209 1.99662 1.37248 0.00000 -1.37248 -1.99662 -1.53209 -0.23219 1.19432 1.96962 1.67098 0.46123 -1.00000 -1.91598 -1.78727 -0.68404 0.79216 1.83643 1.87939 0.89760 -0.57361 -1.73205 -1.94609 -1.09902 0.34730 1.60425 1.98648 1.28558 -0.11629 -1.45475 -2.00000 0.00000 0.00000 2.00000 -1.45475 -0.11629 1.28558 1.98648 1.60425 0.34730 -1.09902 -1.94609 -1.73205 -0.57361 0.89760 1.87939 1.83643 0.79216 -0.68404 -1.78727 -1.91598 -1.00000 0.46123 1.67098 1.96962 1.19432 -0.23219 -1.53209 -1.99662 -1.37248 0.00000 1.37248 1.99662 1.53209 0.23219 -1.19432 -1.96962 -1.67098 -0.46123 1.00000 1.91598 1.78727 0.68404 -0.79216 -1.83643 -1.87939 -0.89760 0.57361 1.73205 1.94609 1.09902 -0.34730 -1.60425 -1.98648 -1.28558 0.11629 1.45475 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E14g 2.00000 1.37248 -0.11629 -1.53209 -1.98648 -1.19432 0.34730 1.67098 1.94609 1.00000 -0.57361 -1.78727 -1.87939 -0.79216 0.79216 1.87939 1.78727 0.57361 -1.00000 -1.94609 -1.67098 -0.34730 1.19432 1.98648 1.53209 0.11629 -1.37248 -2.00000 -1.37248 0.11629 1.53209 1.98648 1.19432 -0.34730 -1.67098 -1.94609 -1.00000 0.57361 1.78727 1.87939 0.79216 -0.79216 -1.87939 -1.78727 -0.57361 1.00000 1.94609 1.67098 0.34730 -1.19432 -1.98648 -1.53209 -0.11629 1.37248 2.00000 0.00000 0.00000 2.00000 1.37248 -0.11629 -1.53209 -1.98648 -1.19432 0.34730 1.67098 1.94609 1.00000 -0.57361 -1.78727 -1.87939 -0.79216 0.79216 1.87939 1.78727 0.57361 -1.00000 -1.94609 -1.67098 -0.34730 1.19432 1.98648 1.53209 0.11629 -1.37248 -2.00000 -1.37248 0.11629 1.53209 1.98648 1.19432 -0.34730 -1.67098 -1.94609 -1.00000 0.57361 1.78727 1.87939 0.79216 -0.79216 -1.87939 -1.78727 -0.57361 1.00000 1.94609 1.67098 0.34730 -1.19432 -1.98648 -1.53209 -0.11629 1.37248 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E15g 2.00000 1.28558 -0.34730 -1.73205 -1.87939 -0.68404 1.00000 1.96962 1.53209 0.00000 -1.53209 -1.96962 -1.00000 0.68404 1.87939 1.73205 0.34730 -1.28558 -2.00000 -1.28558 0.34730 1.73205 1.87939 0.68404 -1.00000 -1.96962 -1.53209 0.00000 1.53209 1.96962 1.00000 -0.68404 -1.87939 -1.73205 -0.34730 1.28558 2.00000 1.28558 -0.34730 -1.73205 -1.87939 -0.68404 1.00000 1.96962 1.53209 0.00000 -1.53209 -1.96962 -1.00000 0.68404 1.87939 1.73205 0.34730 -1.28558 -2.00000 0.00000 0.00000 2.00000 -1.28558 0.34730 1.73205 1.87939 0.68404 -1.00000 -1.96962 -1.53209 0.00000 1.53209 1.96962 1.00000 -0.68404 -1.87939 -1.73205 -0.34730 1.28558 2.00000 1.28558 -0.34730 -1.73205 -1.87939 -0.68404 1.00000 1.96962 1.53209 0.00000 -1.53209 -1.96962 -1.00000 0.68404 1.87939 1.73205 0.34730 -1.28558 -2.00000 -1.28558 0.34730 1.73205 1.87939 0.68404 -1.00000 -1.96962 -1.53209 0.00000 1.53209 1.96962 1.00000 -0.68404 -1.87939 -1.73205 -0.34730 1.28558 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E16g 2.00000 1.19432 -0.57361 -1.87939 -1.67098 -0.11629 1.53209 1.94609 0.79216 -1.00000 -1.98648 -1.37248 0.34730 1.78727 1.78727 0.34730 -1.37248 -1.98648 -1.00000 0.79216 1.94609 1.53209 -0.11629 -1.67098 -1.87939 -0.57361 1.19432 2.00000 1.19432 -0.57361 -1.87939 -1.67098 -0.11629 1.53209 1.94609 0.79216 -1.00000 -1.98648 -1.37248 0.34730 1.78727 1.78727 0.34730 -1.37248 -1.98648 -1.00000 0.79216 1.94609 1.53209 -0.11629 -1.67098 -1.87939 -0.57361 1.19432 2.00000 0.00000 0.00000 2.00000 1.19432 -0.57361 -1.87939 -1.67098 -0.11629 1.53209 1.94609 0.79216 -1.00000 -1.98648 -1.37248 0.34730 1.78727 1.78727 0.34730 -1.37248 -1.98648 -1.00000 0.79216 1.94609 1.53209 -0.11629 -1.67098 -1.87939 -0.57361 1.19432 2.00000 1.19432 -0.57361 -1.87939 -1.67098 -0.11629 1.53209 1.94609 0.79216 -1.00000 -1.98648 -1.37248 0.34730 1.78727 1.78727 0.34730 -1.37248 -1.98648 -1.00000 0.79216 1.94609 1.53209 -0.11629 -1.67098 -1.87939 -0.57361 1.19432 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E17g 2.00000 1.09902 -0.79216 -1.96962 -1.37248 0.46123 1.87939 1.60425 -0.11629 -1.73205 -1.78727 -0.23219 1.53209 1.91598 0.57361 -1.28558 -1.98648 -0.89760 1.00000 1.99662 1.19432 -0.68404 -1.94609 -1.45475 0.34730 1.83643 1.67098 0.00000 -1.67098 -1.83643 -0.34730 1.45475 1.94609 0.68404 -1.19432 -1.99662 -1.00000 0.89760 1.98648 1.28558 -0.57361 -1.91598 -1.53209 0.23219 1.78727 1.73205 0.11629 -1.60425 -1.87939 -0.46123 1.37248 1.96962 0.79216 -1.09902 -2.00000 0.00000 0.00000 2.00000 -1.09902 0.79216 1.96962 1.37248 -0.46123 -1.87939 -1.60425 0.11629 1.73205 1.78727 0.23219 -1.53209 -1.91598 -0.57361 1.28558 1.98648 0.89760 -1.00000 -1.99662 -1.19432 0.68404 1.94609 1.45475 -0.34730 -1.83643 -1.67098 0.00000 1.67098 1.83643 0.34730 -1.45475 -1.94609 -0.68404 1.19432 1.99662 1.00000 -0.89760 -1.98648 -1.28558 0.57361 1.91598 1.53209 -0.23219 -1.78727 -1.73205 -0.11629 1.60425 1.87939 0.46123 -1.37248 -1.96962 -0.79216 1.09902 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E18g 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 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 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 ... ... ..... ....... ......... ........... ............. E19g 2.00000 0.89760 -1.19432 -1.96962 -0.57361 1.45475 1.87939 0.23219 -1.67098 -1.73205 0.11629 1.83643 1.53209 -0.46123 -1.94609 -1.28558 0.79216 1.99662 1.00000 -1.09902 -1.98648 -0.68404 1.37248 1.91598 0.34730 -1.60425 -1.78727 0.00000 1.78727 1.60425 -0.34730 -1.91598 -1.37248 0.68404 1.98648 1.09902 -1.00000 -1.99662 -0.79216 1.28558 1.94609 0.46123 -1.53209 -1.83643 -0.11629 1.73205 1.67098 -0.23219 -1.87939 -1.45475 0.57361 1.96962 1.19432 -0.89760 -2.00000 0.00000 0.00000 2.00000 -0.89760 1.19432 1.96962 0.57361 -1.45475 -1.87939 -0.23219 1.67098 1.73205 -0.11629 -1.83643 -1.53209 0.46123 1.94609 1.28558 -0.79216 -1.99662 -1.00000 1.09902 1.98648 0.68404 -1.37248 -1.91598 -0.34730 1.60425 1.78727 0.00000 -1.78727 -1.60425 0.34730 1.91598 1.37248 -0.68404 -1.98648 -1.09902 1.00000 1.99662 0.79216 -1.28558 -1.94609 -0.46123 1.53209 1.83643 0.11629 -1.73205 -1.67098 0.23219 1.87939 1.45475 -0.57361 -1.96962 -1.19432 0.89760 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E20g 2.00000 0.79216 -1.37248 -1.87939 -0.11629 1.78727 1.53209 -0.57361 -1.98648 -1.00000 1.19432 1.94609 0.34730 -1.67098 -1.67098 0.34730 1.94609 1.19432 -1.00000 -1.98648 -0.57361 1.53209 1.78727 -0.11629 -1.87939 -1.37248 0.79216 2.00000 0.79216 -1.37248 -1.87939 -0.11629 1.78727 1.53209 -0.57361 -1.98648 -1.00000 1.19432 1.94609 0.34730 -1.67098 -1.67098 0.34730 1.94609 1.19432 -1.00000 -1.98648 -0.57361 1.53209 1.78727 -0.11629 -1.87939 -1.37248 0.79216 2.00000 0.00000 0.00000 2.00000 0.79216 -1.37248 -1.87939 -0.11629 1.78727 1.53209 -0.57361 -1.98648 -1.00000 1.19432 1.94609 0.34730 -1.67098 -1.67098 0.34730 1.94609 1.19432 -1.00000 -1.98648 -0.57361 1.53209 1.78727 -0.11629 -1.87939 -1.37248 0.79216 2.00000 0.79216 -1.37248 -1.87939 -0.11629 1.78727 1.53209 -0.57361 -1.98648 -1.00000 1.19432 1.94609 0.34730 -1.67098 -1.67098 0.34730 1.94609 1.19432 -1.00000 -1.98648 -0.57361 1.53209 1.78727 -0.11629 -1.87939 -1.37248 0.79216 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E21g 2.00000 0.68404 -1.53209 -1.73205 0.34730 1.96962 1.00000 -1.28558 -1.87939 0.00000 1.87939 1.28558 -1.00000 -1.96962 -0.34730 1.73205 1.53209 -0.68404 -2.00000 -0.68404 1.53209 1.73205 -0.34730 -1.96962 -1.00000 1.28558 1.87939 0.00000 -1.87939 -1.28558 1.00000 1.96962 0.34730 -1.73205 -1.53209 0.68404 2.00000 0.68404 -1.53209 -1.73205 0.34730 1.96962 1.00000 -1.28558 -1.87939 0.00000 1.87939 1.28558 -1.00000 -1.96962 -0.34730 1.73205 1.53209 -0.68404 -2.00000 0.00000 0.00000 2.00000 -0.68404 1.53209 1.73205 -0.34730 -1.96962 -1.00000 1.28558 1.87939 0.00000 -1.87939 -1.28558 1.00000 1.96962 0.34730 -1.73205 -1.53209 0.68404 2.00000 0.68404 -1.53209 -1.73205 0.34730 1.96962 1.00000 -1.28558 -1.87939 0.00000 1.87939 1.28558 -1.00000 -1.96962 -0.34730 1.73205 1.53209 -0.68404 -2.00000 -0.68404 1.53209 1.73205 -0.34730 -1.96962 -1.00000 1.28558 1.87939 0.00000 -1.87939 -1.28558 1.00000 1.96962 0.34730 -1.73205 -1.53209 0.68404 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E22g 2.00000 0.57361 -1.67098 -1.53209 0.79216 1.98648 0.34730 -1.78727 -1.37248 1.00000 1.94609 0.11629 -1.87939 -1.19432 1.19432 1.87939 -0.11629 -1.94609 -1.00000 1.37248 1.78727 -0.34730 -1.98648 -0.79216 1.53209 1.67098 -0.57361 -2.00000 -0.57361 1.67098 1.53209 -0.79216 -1.98648 -0.34730 1.78727 1.37248 -1.00000 -1.94609 -0.11629 1.87939 1.19432 -1.19432 -1.87939 0.11629 1.94609 1.00000 -1.37248 -1.78727 0.34730 1.98648 0.79216 -1.53209 -1.67098 0.57361 2.00000 0.00000 0.00000 2.00000 0.57361 -1.67098 -1.53209 0.79216 1.98648 0.34730 -1.78727 -1.37248 1.00000 1.94609 0.11629 -1.87939 -1.19432 1.19432 1.87939 -0.11629 -1.94609 -1.00000 1.37248 1.78727 -0.34730 -1.98648 -0.79216 1.53209 1.67098 -0.57361 -2.00000 -0.57361 1.67098 1.53209 -0.79216 -1.98648 -0.34730 1.78727 1.37248 -1.00000 -1.94609 -0.11629 1.87939 1.19432 -1.19432 -1.87939 0.11629 1.94609 1.00000 -1.37248 -1.78727 0.34730 1.98648 0.79216 -1.53209 -1.67098 0.57361 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E23g 2.00000 0.46123 -1.78727 -1.28558 1.19432 1.83643 -0.34730 -1.99662 -0.57361 1.73205 1.37248 -1.09902 -1.87939 0.23219 1.98648 0.68404 -1.67098 -1.45475 1.00000 1.91598 -0.11629 -1.96962 -0.79216 1.60425 1.53209 -0.89760 -1.94609 0.00000 1.94609 0.89760 -1.53209 -1.60425 0.79216 1.96962 0.11629 -1.91598 -1.00000 1.45475 1.67098 -0.68404 -1.98648 -0.23219 1.87939 1.09902 -1.37248 -1.73205 0.57361 1.99662 0.34730 -1.83643 -1.19432 1.28558 1.78727 -0.46123 -2.00000 0.00000 0.00000 2.00000 -0.46123 1.78727 1.28558 -1.19432 -1.83643 0.34730 1.99662 0.57361 -1.73205 -1.37248 1.09902 1.87939 -0.23219 -1.98648 -0.68404 1.67098 1.45475 -1.00000 -1.91598 0.11629 1.96962 0.79216 -1.60425 -1.53209 0.89760 1.94609 0.00000 -1.94609 -0.89760 1.53209 1.60425 -0.79216 -1.96962 -0.11629 1.91598 1.00000 -1.45475 -1.67098 0.68404 1.98648 0.23219 -1.87939 -1.09902 1.37248 1.73205 -0.57361 -1.99662 -0.34730 1.83643 1.19432 -1.28558 -1.78727 0.46123 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E24g 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.00000 0.00000 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E25g 2.00000 0.23219 -1.94609 -0.68404 1.78727 1.09902 -1.53209 -1.45475 1.19432 1.73205 -0.79216 -1.91598 0.34730 1.99662 0.11629 -1.96962 -0.57361 1.83643 1.00000 -1.60425 -1.37248 1.28558 1.67098 -0.89760 -1.87939 0.46123 1.98648 0.00000 -1.98648 -0.46123 1.87939 0.89760 -1.67098 -1.28558 1.37248 1.60425 -1.00000 -1.83643 0.57361 1.96962 -0.11629 -1.99662 -0.34730 1.91598 0.79216 -1.73205 -1.19432 1.45475 1.53209 -1.09902 -1.78727 0.68404 1.94609 -0.23219 -2.00000 0.00000 0.00000 2.00000 -0.23219 1.94609 0.68404 -1.78727 -1.09902 1.53209 1.45475 -1.19432 -1.73205 0.79216 1.91598 -0.34730 -1.99662 -0.11629 1.96962 0.57361 -1.83643 -1.00000 1.60425 1.37248 -1.28558 -1.67098 0.89760 1.87939 -0.46123 -1.98648 0.00000 1.98648 0.46123 -1.87939 -0.89760 1.67098 1.28558 -1.37248 -1.60425 1.00000 1.83643 -0.57361 -1.96962 0.11629 1.99662 0.34730 -1.91598 -0.79216 1.73205 1.19432 -1.45475 -1.53209 1.09902 1.78727 -0.68404 -1.94609 0.23219 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E26g 2.00000 0.11629 -1.98648 -0.34730 1.94609 0.57361 -1.87939 -0.79216 1.78727 1.00000 -1.67098 -1.19432 1.53209 1.37248 -1.37248 -1.53209 1.19432 1.67098 -1.00000 -1.78727 0.79216 1.87939 -0.57361 -1.94609 0.34730 1.98648 -0.11629 -2.00000 -0.11629 1.98648 0.34730 -1.94609 -0.57361 1.87939 0.79216 -1.78727 -1.00000 1.67098 1.19432 -1.53209 -1.37248 1.37248 1.53209 -1.19432 -1.67098 1.00000 1.78727 -0.79216 -1.87939 0.57361 1.94609 -0.34730 -1.98648 0.11629 2.00000 0.00000 0.00000 2.00000 0.11629 -1.98648 -0.34730 1.94609 0.57361 -1.87939 -0.79216 1.78727 1.00000 -1.67098 -1.19432 1.53209 1.37248 -1.37248 -1.53209 1.19432 1.67098 -1.00000 -1.78727 0.79216 1.87939 -0.57361 -1.94609 0.34730 1.98648 -0.11629 -2.00000 -0.11629 1.98648 0.34730 -1.94609 -0.57361 1.87939 0.79216 -1.78727 -1.00000 1.67098 1.19432 -1.53209 -1.37248 1.37248 1.53209 -1.19432 -1.67098 1.00000 1.78727 -0.79216 -1.87939 0.57361 1.94609 -0.34730 -1.98648 0.11629 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E27g 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 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 -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 ... ... ..... ....... ......... ........... ............. E28g 2.00000 -0.11629 -1.98648 0.34730 1.94609 -0.57361 -1.87939 0.79216 1.78727 -1.00000 -1.67098 1.19432 1.53209 -1.37248 -1.37248 1.53209 1.19432 -1.67098 -1.00000 1.78727 0.79216 -1.87939 -0.57361 1.94609 0.34730 -1.98648 -0.11629 2.00000 -0.11629 -1.98648 0.34730 1.94609 -0.57361 -1.87939 0.79216 1.78727 -1.00000 -1.67098 1.19432 1.53209 -1.37248 -1.37248 1.53209 1.19432 -1.67098 -1.00000 1.78727 0.79216 -1.87939 -0.57361 1.94609 0.34730 -1.98648 -0.11629 2.00000 0.00000 0.00000 2.00000 -0.11629 -1.98648 0.34730 1.94609 -0.57361 -1.87939 0.79216 1.78727 -1.00000 -1.67098 1.19432 1.53209 -1.37248 -1.37248 1.53209 1.19432 -1.67098 -1.00000 1.78727 0.79216 -1.87939 -0.57361 1.94609 0.34730 -1.98648 -0.11629 2.00000 -0.11629 -1.98648 0.34730 1.94609 -0.57361 -1.87939 0.79216 1.78727 -1.00000 -1.67098 1.19432 1.53209 -1.37248 -1.37248 1.53209 1.19432 -1.67098 -1.00000 1.78727 0.79216 -1.87939 -0.57361 1.94609 0.34730 -1.98648 -0.11629 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E29g 2.00000 -0.23219 -1.94609 0.68404 1.78727 -1.09902 -1.53209 1.45475 1.19432 -1.73205 -0.79216 1.91598 0.34730 -1.99662 0.11629 1.96962 -0.57361 -1.83643 1.00000 1.60425 -1.37248 -1.28558 1.67098 0.89760 -1.87939 -0.46123 1.98648 0.00000 -1.98648 0.46123 1.87939 -0.89760 -1.67098 1.28558 1.37248 -1.60425 -1.00000 1.83643 0.57361 -1.96962 -0.11629 1.99662 -0.34730 -1.91598 0.79216 1.73205 -1.19432 -1.45475 1.53209 1.09902 -1.78727 -0.68404 1.94609 0.23219 -2.00000 0.00000 0.00000 2.00000 0.23219 1.94609 -0.68404 -1.78727 1.09902 1.53209 -1.45475 -1.19432 1.73205 0.79216 -1.91598 -0.34730 1.99662 -0.11629 -1.96962 0.57361 1.83643 -1.00000 -1.60425 1.37248 1.28558 -1.67098 -0.89760 1.87939 0.46123 -1.98648 0.00000 1.98648 -0.46123 -1.87939 0.89760 1.67098 -1.28558 -1.37248 1.60425 1.00000 -1.83643 -0.57361 1.96962 0.11629 -1.99662 0.34730 1.91598 -0.79216 -1.73205 1.19432 1.45475 -1.53209 -1.09902 1.78727 0.68404 -1.94609 -0.23219 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E30g 2.00000 -0.34730 -1.87939 1.00000 1.53209 -1.53209 -1.00000 1.87939 0.34730 -2.00000 0.34730 1.87939 -1.00000 -1.53209 1.53209 1.00000 -1.87939 -0.34730 2.00000 -0.34730 -1.87939 1.00000 1.53209 -1.53209 -1.00000 1.87939 0.34730 -2.00000 0.34730 1.87939 -1.00000 -1.53209 1.53209 1.00000 -1.87939 -0.34730 2.00000 -0.34730 -1.87939 1.00000 1.53209 -1.53209 -1.00000 1.87939 0.34730 -2.00000 0.34730 1.87939 -1.00000 -1.53209 1.53209 1.00000 -1.87939 -0.34730 2.00000 0.00000 0.00000 2.00000 -0.34730 -1.87939 1.00000 1.53209 -1.53209 -1.00000 1.87939 0.34730 -2.00000 0.34730 1.87939 -1.00000 -1.53209 1.53209 1.00000 -1.87939 -0.34730 2.00000 -0.34730 -1.87939 1.00000 1.53209 -1.53209 -1.00000 1.87939 0.34730 -2.00000 0.34730 1.87939 -1.00000 -1.53209 1.53209 1.00000 -1.87939 -0.34730 2.00000 -0.34730 -1.87939 1.00000 1.53209 -1.53209 -1.00000 1.87939 0.34730 -2.00000 0.34730 1.87939 -1.00000 -1.53209 1.53209 1.00000 -1.87939 -0.34730 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E31g 2.00000 -0.46123 -1.78727 1.28558 1.19432 -1.83643 -0.34730 1.99662 -0.57361 -1.73205 1.37248 1.09902 -1.87939 -0.23219 1.98648 -0.68404 -1.67098 1.45475 1.00000 -1.91598 -0.11629 1.96962 -0.79216 -1.60425 1.53209 0.89760 -1.94609 0.00000 1.94609 -0.89760 -1.53209 1.60425 0.79216 -1.96962 0.11629 1.91598 -1.00000 -1.45475 1.67098 0.68404 -1.98648 0.23219 1.87939 -1.09902 -1.37248 1.73205 0.57361 -1.99662 0.34730 1.83643 -1.19432 -1.28558 1.78727 0.46123 -2.00000 0.00000 0.00000 2.00000 0.46123 1.78727 -1.28558 -1.19432 1.83643 0.34730 -1.99662 0.57361 1.73205 -1.37248 -1.09902 1.87939 0.23219 -1.98648 0.68404 1.67098 -1.45475 -1.00000 1.91598 0.11629 -1.96962 0.79216 1.60425 -1.53209 -0.89760 1.94609 0.00000 -1.94609 0.89760 1.53209 -1.60425 -0.79216 1.96962 -0.11629 -1.91598 1.00000 1.45475 -1.67098 -0.68404 1.98648 -0.23219 -1.87939 1.09902 1.37248 -1.73205 -0.57361 1.99662 -0.34730 -1.83643 1.19432 1.28558 -1.78727 -0.46123 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E32g 2.00000 -0.57361 -1.67098 1.53209 0.79216 -1.98648 0.34730 1.78727 -1.37248 -1.00000 1.94609 -0.11629 -1.87939 1.19432 1.19432 -1.87939 -0.11629 1.94609 -1.00000 -1.37248 1.78727 0.34730 -1.98648 0.79216 1.53209 -1.67098 -0.57361 2.00000 -0.57361 -1.67098 1.53209 0.79216 -1.98648 0.34730 1.78727 -1.37248 -1.00000 1.94609 -0.11629 -1.87939 1.19432 1.19432 -1.87939 -0.11629 1.94609 -1.00000 -1.37248 1.78727 0.34730 -1.98648 0.79216 1.53209 -1.67098 -0.57361 2.00000 0.00000 0.00000 2.00000 -0.57361 -1.67098 1.53209 0.79216 -1.98648 0.34730 1.78727 -1.37248 -1.00000 1.94609 -0.11629 -1.87939 1.19432 1.19432 -1.87939 -0.11629 1.94609 -1.00000 -1.37248 1.78727 0.34730 -1.98648 0.79216 1.53209 -1.67098 -0.57361 2.00000 -0.57361 -1.67098 1.53209 0.79216 -1.98648 0.34730 1.78727 -1.37248 -1.00000 1.94609 -0.11629 -1.87939 1.19432 1.19432 -1.87939 -0.11629 1.94609 -1.00000 -1.37248 1.78727 0.34730 -1.98648 0.79216 1.53209 -1.67098 -0.57361 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E33g 2.00000 -0.68404 -1.53209 1.73205 0.34730 -1.96962 1.00000 1.28558 -1.87939 0.00000 1.87939 -1.28558 -1.00000 1.96962 -0.34730 -1.73205 1.53209 0.68404 -2.00000 0.68404 1.53209 -1.73205 -0.34730 1.96962 -1.00000 -1.28558 1.87939 0.00000 -1.87939 1.28558 1.00000 -1.96962 0.34730 1.73205 -1.53209 -0.68404 2.00000 -0.68404 -1.53209 1.73205 0.34730 -1.96962 1.00000 1.28558 -1.87939 0.00000 1.87939 -1.28558 -1.00000 1.96962 -0.34730 -1.73205 1.53209 0.68404 -2.00000 0.00000 0.00000 2.00000 0.68404 1.53209 -1.73205 -0.34730 1.96962 -1.00000 -1.28558 1.87939 0.00000 -1.87939 1.28558 1.00000 -1.96962 0.34730 1.73205 -1.53209 -0.68404 2.00000 -0.68404 -1.53209 1.73205 0.34730 -1.96962 1.00000 1.28558 -1.87939 0.00000 1.87939 -1.28558 -1.00000 1.96962 -0.34730 -1.73205 1.53209 0.68404 -2.00000 0.68404 1.53209 -1.73205 -0.34730 1.96962 -1.00000 -1.28558 1.87939 0.00000 -1.87939 1.28558 1.00000 -1.96962 0.34730 1.73205 -1.53209 -0.68404 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E34g 2.00000 -0.79216 -1.37248 1.87939 -0.11629 -1.78727 1.53209 0.57361 -1.98648 1.00000 1.19432 -1.94609 0.34730 1.67098 -1.67098 -0.34730 1.94609 -1.19432 -1.00000 1.98648 -0.57361 -1.53209 1.78727 0.11629 -1.87939 1.37248 0.79216 -2.00000 0.79216 1.37248 -1.87939 0.11629 1.78727 -1.53209 -0.57361 1.98648 -1.00000 -1.19432 1.94609 -0.34730 -1.67098 1.67098 0.34730 -1.94609 1.19432 1.00000 -1.98648 0.57361 1.53209 -1.78727 -0.11629 1.87939 -1.37248 -0.79216 2.00000 0.00000 0.00000 2.00000 -0.79216 -1.37248 1.87939 -0.11629 -1.78727 1.53209 0.57361 -1.98648 1.00000 1.19432 -1.94609 0.34730 1.67098 -1.67098 -0.34730 1.94609 -1.19432 -1.00000 1.98648 -0.57361 -1.53209 1.78727 0.11629 -1.87939 1.37248 0.79216 -2.00000 0.79216 1.37248 -1.87939 0.11629 1.78727 -1.53209 -0.57361 1.98648 -1.00000 -1.19432 1.94609 -0.34730 -1.67098 1.67098 0.34730 -1.94609 1.19432 1.00000 -1.98648 0.57361 1.53209 -1.78727 -0.11629 1.87939 -1.37248 -0.79216 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E35g 2.00000 -0.89760 -1.19432 1.96962 -0.57361 -1.45475 1.87939 -0.23219 -1.67098 1.73205 0.11629 -1.83643 1.53209 0.46123 -1.94609 1.28558 0.79216 -1.99662 1.00000 1.09902 -1.98648 0.68404 1.37248 -1.91598 0.34730 1.60425 -1.78727 0.00000 1.78727 -1.60425 -0.34730 1.91598 -1.37248 -0.68404 1.98648 -1.09902 -1.00000 1.99662 -0.79216 -1.28558 1.94609 -0.46123 -1.53209 1.83643 -0.11629 -1.73205 1.67098 0.23219 -1.87939 1.45475 0.57361 -1.96962 1.19432 0.89760 -2.00000 0.00000 0.00000 2.00000 0.89760 1.19432 -1.96962 0.57361 1.45475 -1.87939 0.23219 1.67098 -1.73205 -0.11629 1.83643 -1.53209 -0.46123 1.94609 -1.28558 -0.79216 1.99662 -1.00000 -1.09902 1.98648 -0.68404 -1.37248 1.91598 -0.34730 -1.60425 1.78727 0.00000 -1.78727 1.60425 0.34730 -1.91598 1.37248 0.68404 -1.98648 1.09902 1.00000 -1.99662 0.79216 1.28558 -1.94609 0.46123 1.53209 -1.83643 0.11629 1.73205 -1.67098 -0.23219 1.87939 -1.45475 -0.57361 1.96962 -1.19432 -0.89760 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E36g 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 -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 -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 ... ... ..... ....... ......... ........... ............. E37g 2.00000 -1.09902 -0.79216 1.96962 -1.37248 -0.46123 1.87939 -1.60425 -0.11629 1.73205 -1.78727 0.23219 1.53209 -1.91598 0.57361 1.28558 -1.98648 0.89760 1.00000 -1.99662 1.19432 0.68404 -1.94609 1.45475 0.34730 -1.83643 1.67098 0.00000 -1.67098 1.83643 -0.34730 -1.45475 1.94609 -0.68404 -1.19432 1.99662 -1.00000 -0.89760 1.98648 -1.28558 -0.57361 1.91598 -1.53209 -0.23219 1.78727 -1.73205 0.11629 1.60425 -1.87939 0.46123 1.37248 -1.96962 0.79216 1.09902 -2.00000 0.00000 0.00000 2.00000 1.09902 0.79216 -1.96962 1.37248 0.46123 -1.87939 1.60425 0.11629 -1.73205 1.78727 -0.23219 -1.53209 1.91598 -0.57361 -1.28558 1.98648 -0.89760 -1.00000 1.99662 -1.19432 -0.68404 1.94609 -1.45475 -0.34730 1.83643 -1.67098 0.00000 1.67098 -1.83643 0.34730 1.45475 -1.94609 0.68404 1.19432 -1.99662 1.00000 0.89760 -1.98648 1.28558 0.57361 -1.91598 1.53209 0.23219 -1.78727 1.73205 -0.11629 -1.60425 1.87939 -0.46123 -1.37248 1.96962 -0.79216 -1.09902 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E38g 2.00000 -1.19432 -0.57361 1.87939 -1.67098 0.11629 1.53209 -1.94609 0.79216 1.00000 -1.98648 1.37248 0.34730 -1.78727 1.78727 -0.34730 -1.37248 1.98648 -1.00000 -0.79216 1.94609 -1.53209 -0.11629 1.67098 -1.87939 0.57361 1.19432 -2.00000 1.19432 0.57361 -1.87939 1.67098 -0.11629 -1.53209 1.94609 -0.79216 -1.00000 1.98648 -1.37248 -0.34730 1.78727 -1.78727 0.34730 1.37248 -1.98648 1.00000 0.79216 -1.94609 1.53209 0.11629 -1.67098 1.87939 -0.57361 -1.19432 2.00000 0.00000 0.00000 2.00000 -1.19432 -0.57361 1.87939 -1.67098 0.11629 1.53209 -1.94609 0.79216 1.00000 -1.98648 1.37248 0.34730 -1.78727 1.78727 -0.34730 -1.37248 1.98648 -1.00000 -0.79216 1.94609 -1.53209 -0.11629 1.67098 -1.87939 0.57361 1.19432 -2.00000 1.19432 0.57361 -1.87939 1.67098 -0.11629 -1.53209 1.94609 -0.79216 -1.00000 1.98648 -1.37248 -0.34730 1.78727 -1.78727 0.34730 1.37248 -1.98648 1.00000 0.79216 -1.94609 1.53209 0.11629 -1.67098 1.87939 -0.57361 -1.19432 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E39g 2.00000 -1.28558 -0.34730 1.73205 -1.87939 0.68404 1.00000 -1.96962 1.53209 0.00000 -1.53209 1.96962 -1.00000 -0.68404 1.87939 -1.73205 0.34730 1.28558 -2.00000 1.28558 0.34730 -1.73205 1.87939 -0.68404 -1.00000 1.96962 -1.53209 0.00000 1.53209 -1.96962 1.00000 0.68404 -1.87939 1.73205 -0.34730 -1.28558 2.00000 -1.28558 -0.34730 1.73205 -1.87939 0.68404 1.00000 -1.96962 1.53209 0.00000 -1.53209 1.96962 -1.00000 -0.68404 1.87939 -1.73205 0.34730 1.28558 -2.00000 0.00000 0.00000 2.00000 1.28558 0.34730 -1.73205 1.87939 -0.68404 -1.00000 1.96962 -1.53209 0.00000 1.53209 -1.96962 1.00000 0.68404 -1.87939 1.73205 -0.34730 -1.28558 2.00000 -1.28558 -0.34730 1.73205 -1.87939 0.68404 1.00000 -1.96962 1.53209 0.00000 -1.53209 1.96962 -1.00000 -0.68404 1.87939 -1.73205 0.34730 1.28558 -2.00000 1.28558 0.34730 -1.73205 1.87939 -0.68404 -1.00000 1.96962 -1.53209 0.00000 1.53209 -1.96962 1.00000 0.68404 -1.87939 1.73205 -0.34730 -1.28558 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E40g 2.00000 -1.37248 -0.11629 1.53209 -1.98648 1.19432 0.34730 -1.67098 1.94609 -1.00000 -0.57361 1.78727 -1.87939 0.79216 0.79216 -1.87939 1.78727 -0.57361 -1.00000 1.94609 -1.67098 0.34730 1.19432 -1.98648 1.53209 -0.11629 -1.37248 2.00000 -1.37248 -0.11629 1.53209 -1.98648 1.19432 0.34730 -1.67098 1.94609 -1.00000 -0.57361 1.78727 -1.87939 0.79216 0.79216 -1.87939 1.78727 -0.57361 -1.00000 1.94609 -1.67098 0.34730 1.19432 -1.98648 1.53209 -0.11629 -1.37248 2.00000 0.00000 0.00000 2.00000 -1.37248 -0.11629 1.53209 -1.98648 1.19432 0.34730 -1.67098 1.94609 -1.00000 -0.57361 1.78727 -1.87939 0.79216 0.79216 -1.87939 1.78727 -0.57361 -1.00000 1.94609 -1.67098 0.34730 1.19432 -1.98648 1.53209 -0.11629 -1.37248 2.00000 -1.37248 -0.11629 1.53209 -1.98648 1.19432 0.34730 -1.67098 1.94609 -1.00000 -0.57361 1.78727 -1.87939 0.79216 0.79216 -1.87939 1.78727 -0.57361 -1.00000 1.94609 -1.67098 0.34730 1.19432 -1.98648 1.53209 -0.11629 -1.37248 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E41g 2.00000 -1.45475 0.11629 1.28558 -1.98648 1.60425 -0.34730 -1.09902 1.94609 -1.73205 0.57361 0.89760 -1.87939 1.83643 -0.79216 -0.68404 1.78727 -1.91598 1.00000 0.46123 -1.67098 1.96962 -1.19432 -0.23219 1.53209 -1.99662 1.37248 0.00000 -1.37248 1.99662 -1.53209 0.23219 1.19432 -1.96962 1.67098 -0.46123 -1.00000 1.91598 -1.78727 0.68404 0.79216 -1.83643 1.87939 -0.89760 -0.57361 1.73205 -1.94609 1.09902 0.34730 -1.60425 1.98648 -1.28558 -0.11629 1.45475 -2.00000 0.00000 0.00000 2.00000 1.45475 -0.11629 -1.28558 1.98648 -1.60425 0.34730 1.09902 -1.94609 1.73205 -0.57361 -0.89760 1.87939 -1.83643 0.79216 0.68404 -1.78727 1.91598 -1.00000 -0.46123 1.67098 -1.96962 1.19432 0.23219 -1.53209 1.99662 -1.37248 0.00000 1.37248 -1.99662 1.53209 -0.23219 -1.19432 1.96962 -1.67098 0.46123 1.00000 -1.91598 1.78727 -0.68404 -0.79216 1.83643 -1.87939 0.89760 0.57361 -1.73205 1.94609 -1.09902 -0.34730 1.60425 -1.98648 1.28558 0.11629 -1.45475 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E42g 2.00000 -1.53209 0.34730 1.00000 -1.87939 1.87939 -1.00000 -0.34730 1.53209 -2.00000 1.53209 -0.34730 -1.00000 1.87939 -1.87939 1.00000 0.34730 -1.53209 2.00000 -1.53209 0.34730 1.00000 -1.87939 1.87939 -1.00000 -0.34730 1.53209 -2.00000 1.53209 -0.34730 -1.00000 1.87939 -1.87939 1.00000 0.34730 -1.53209 2.00000 -1.53209 0.34730 1.00000 -1.87939 1.87939 -1.00000 -0.34730 1.53209 -2.00000 1.53209 -0.34730 -1.00000 1.87939 -1.87939 1.00000 0.34730 -1.53209 2.00000 0.00000 0.00000 2.00000 -1.53209 0.34730 1.00000 -1.87939 1.87939 -1.00000 -0.34730 1.53209 -2.00000 1.53209 -0.34730 -1.00000 1.87939 -1.87939 1.00000 0.34730 -1.53209 2.00000 -1.53209 0.34730 1.00000 -1.87939 1.87939 -1.00000 -0.34730 1.53209 -2.00000 1.53209 -0.34730 -1.00000 1.87939 -1.87939 1.00000 0.34730 -1.53209 2.00000 -1.53209 0.34730 1.00000 -1.87939 1.87939 -1.00000 -0.34730 1.53209 -2.00000 1.53209 -0.34730 -1.00000 1.87939 -1.87939 1.00000 0.34730 -1.53209 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E43g 2.00000 -1.60425 0.57361 0.68404 -1.67098 1.99662 -1.53209 0.46123 0.79216 -1.73205 1.98648 -1.45475 0.34730 0.89760 -1.78727 1.96962 -1.37248 0.23219 1.00000 -1.83643 1.94609 -1.28558 0.11629 1.09902 -1.87939 1.91598 -1.19432 0.00000 1.19432 -1.91598 1.87939 -1.09902 -0.11629 1.28558 -1.94609 1.83643 -1.00000 -0.23219 1.37248 -1.96962 1.78727 -0.89760 -0.34730 1.45475 -1.98648 1.73205 -0.79216 -0.46123 1.53209 -1.99662 1.67098 -0.68404 -0.57361 1.60425 -2.00000 0.00000 0.00000 2.00000 1.60425 -0.57361 -0.68404 1.67098 -1.99662 1.53209 -0.46123 -0.79216 1.73205 -1.98648 1.45475 -0.34730 -0.89760 1.78727 -1.96962 1.37248 -0.23219 -1.00000 1.83643 -1.94609 1.28558 -0.11629 -1.09902 1.87939 -1.91598 1.19432 0.00000 -1.19432 1.91598 -1.87939 1.09902 0.11629 -1.28558 1.94609 -1.83643 1.00000 0.23219 -1.37248 1.96962 -1.78727 0.89760 0.34730 -1.45475 1.98648 -1.73205 0.79216 0.46123 -1.53209 1.99662 -1.67098 0.68404 0.57361 -1.60425 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E44g 2.00000 -1.67098 0.79216 0.34730 -1.37248 1.94609 -1.87939 1.19432 -0.11629 -1.00000 1.78727 -1.98648 1.53209 -0.57361 -0.57361 1.53209 -1.98648 1.78727 -1.00000 -0.11629 1.19432 -1.87939 1.94609 -1.37248 0.34730 0.79216 -1.67098 2.00000 -1.67098 0.79216 0.34730 -1.37248 1.94609 -1.87939 1.19432 -0.11629 -1.00000 1.78727 -1.98648 1.53209 -0.57361 -0.57361 1.53209 -1.98648 1.78727 -1.00000 -0.11629 1.19432 -1.87939 1.94609 -1.37248 0.34730 0.79216 -1.67098 2.00000 0.00000 0.00000 2.00000 -1.67098 0.79216 0.34730 -1.37248 1.94609 -1.87939 1.19432 -0.11629 -1.00000 1.78727 -1.98648 1.53209 -0.57361 -0.57361 1.53209 -1.98648 1.78727 -1.00000 -0.11629 1.19432 -1.87939 1.94609 -1.37248 0.34730 0.79216 -1.67098 2.00000 -1.67098 0.79216 0.34730 -1.37248 1.94609 -1.87939 1.19432 -0.11629 -1.00000 1.78727 -1.98648 1.53209 -0.57361 -0.57361 1.53209 -1.98648 1.78727 -1.00000 -0.11629 1.19432 -1.87939 1.94609 -1.37248 0.34730 0.79216 -1.67098 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E45g 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 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 -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 ... ... ..... ....... ......... ........... ............. E46g 2.00000 -1.78727 1.19432 -0.34730 -0.57361 1.37248 -1.87939 1.98648 -1.67098 1.00000 -0.11629 -0.79216 1.53209 -1.94609 1.94609 -1.53209 0.79216 0.11629 -1.00000 1.67098 -1.98648 1.87939 -1.37248 0.57361 0.34730 -1.19432 1.78727 -2.00000 1.78727 -1.19432 0.34730 0.57361 -1.37248 1.87939 -1.98648 1.67098 -1.00000 0.11629 0.79216 -1.53209 1.94609 -1.94609 1.53209 -0.79216 -0.11629 1.00000 -1.67098 1.98648 -1.87939 1.37248 -0.57361 -0.34730 1.19432 -1.78727 2.00000 0.00000 0.00000 2.00000 -1.78727 1.19432 -0.34730 -0.57361 1.37248 -1.87939 1.98648 -1.67098 1.00000 -0.11629 -0.79216 1.53209 -1.94609 1.94609 -1.53209 0.79216 0.11629 -1.00000 1.67098 -1.98648 1.87939 -1.37248 0.57361 0.34730 -1.19432 1.78727 -2.00000 1.78727 -1.19432 0.34730 0.57361 -1.37248 1.87939 -1.98648 1.67098 -1.00000 0.11629 0.79216 -1.53209 1.94609 -1.94609 1.53209 -0.79216 -0.11629 1.00000 -1.67098 1.98648 -1.87939 1.37248 -0.57361 -0.34730 1.19432 -1.78727 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E47g 2.00000 -1.83643 1.37248 -0.68404 -0.11629 0.89760 -1.53209 1.91598 -1.98648 1.73205 -1.19432 0.46123 0.34730 -1.09902 1.67098 -1.96962 1.94609 -1.60425 1.00000 -0.23219 -0.57361 1.28558 -1.78727 1.99662 -1.87939 1.45475 -0.79216 0.00000 0.79216 -1.45475 1.87939 -1.99662 1.78727 -1.28558 0.57361 0.23219 -1.00000 1.60425 -1.94609 1.96962 -1.67098 1.09902 -0.34730 -0.46123 1.19432 -1.73205 1.98648 -1.91598 1.53209 -0.89760 0.11629 0.68404 -1.37248 1.83643 -2.00000 0.00000 0.00000 2.00000 1.83643 -1.37248 0.68404 0.11629 -0.89760 1.53209 -1.91598 1.98648 -1.73205 1.19432 -0.46123 -0.34730 1.09902 -1.67098 1.96962 -1.94609 1.60425 -1.00000 0.23219 0.57361 -1.28558 1.78727 -1.99662 1.87939 -1.45475 0.79216 0.00000 -0.79216 1.45475 -1.87939 1.99662 -1.78727 1.28558 -0.57361 -0.23219 1.00000 -1.60425 1.94609 -1.96962 1.67098 -1.09902 0.34730 0.46123 -1.19432 1.73205 -1.98648 1.91598 -1.53209 0.89760 -0.11629 -0.68404 1.37248 -1.83643 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E48g 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 0.00000 0.00000 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E49g 2.00000 -1.91598 1.67098 -1.28558 0.79216 -0.23219 -0.34730 0.89760 -1.37248 1.73205 -1.94609 1.99662 -1.87939 1.60425 -1.19432 0.68404 -0.11629 -0.46123 1.00000 -1.45475 1.78727 -1.96962 1.98648 -1.83643 1.53209 -1.09902 0.57361 0.00000 -0.57361 1.09902 -1.53209 1.83643 -1.98648 1.96962 -1.78727 1.45475 -1.00000 0.46123 0.11629 -0.68404 1.19432 -1.60425 1.87939 -1.99662 1.94609 -1.73205 1.37248 -0.89760 0.34730 0.23219 -0.79216 1.28558 -1.67098 1.91598 -2.00000 0.00000 0.00000 2.00000 1.91598 -1.67098 1.28558 -0.79216 0.23219 0.34730 -0.89760 1.37248 -1.73205 1.94609 -1.99662 1.87939 -1.60425 1.19432 -0.68404 0.11629 0.46123 -1.00000 1.45475 -1.78727 1.96962 -1.98648 1.83643 -1.53209 1.09902 -0.57361 0.00000 0.57361 -1.09902 1.53209 -1.83643 1.98648 -1.96962 1.78727 -1.45475 1.00000 -0.46123 -0.11629 0.68404 -1.19432 1.60425 -1.87939 1.99662 -1.94609 1.73205 -1.37248 0.89760 -0.34730 -0.23219 0.79216 -1.28558 1.67098 -1.91598 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E50g 2.00000 -1.94609 1.78727 -1.53209 1.19432 -0.79216 0.34730 0.11629 -0.57361 1.00000 -1.37248 1.67098 -1.87939 1.98648 -1.98648 1.87939 -1.67098 1.37248 -1.00000 0.57361 -0.11629 -0.34730 0.79216 -1.19432 1.53209 -1.78727 1.94609 -2.00000 1.94609 -1.78727 1.53209 -1.19432 0.79216 -0.34730 -0.11629 0.57361 -1.00000 1.37248 -1.67098 1.87939 -1.98648 1.98648 -1.87939 1.67098 -1.37248 1.00000 -0.57361 0.11629 0.34730 -0.79216 1.19432 -1.53209 1.78727 -1.94609 2.00000 0.00000 0.00000 2.00000 -1.94609 1.78727 -1.53209 1.19432 -0.79216 0.34730 0.11629 -0.57361 1.00000 -1.37248 1.67098 -1.87939 1.98648 -1.98648 1.87939 -1.67098 1.37248 -1.00000 0.57361 -0.11629 -0.34730 0.79216 -1.19432 1.53209 -1.78727 1.94609 -2.00000 1.94609 -1.78727 1.53209 -1.19432 0.79216 -0.34730 -0.11629 0.57361 -1.00000 1.37248 -1.67098 1.87939 -1.98648 1.98648 -1.87939 1.67098 -1.37248 1.00000 -0.57361 0.11629 0.34730 -0.79216 1.19432 -1.53209 1.78727 -1.94609 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E51g 2.00000 -1.96962 1.87939 -1.73205 1.53209 -1.28558 1.00000 -0.68404 0.34730 0.00000 -0.34730 0.68404 -1.00000 1.28558 -1.53209 1.73205 -1.87939 1.96962 -2.00000 1.96962 -1.87939 1.73205 -1.53209 1.28558 -1.00000 0.68404 -0.34730 0.00000 0.34730 -0.68404 1.00000 -1.28558 1.53209 -1.73205 1.87939 -1.96962 2.00000 -1.96962 1.87939 -1.73205 1.53209 -1.28558 1.00000 -0.68404 0.34730 0.00000 -0.34730 0.68404 -1.00000 1.28558 -1.53209 1.73205 -1.87939 1.96962 -2.00000 0.00000 0.00000 2.00000 1.96962 -1.87939 1.73205 -1.53209 1.28558 -1.00000 0.68404 -0.34730 0.00000 0.34730 -0.68404 1.00000 -1.28558 1.53209 -1.73205 1.87939 -1.96962 2.00000 -1.96962 1.87939 -1.73205 1.53209 -1.28558 1.00000 -0.68404 0.34730 0.00000 -0.34730 0.68404 -1.00000 1.28558 -1.53209 1.73205 -1.87939 1.96962 -2.00000 1.96962 -1.87939 1.73205 -1.53209 1.28558 -1.00000 0.68404 -0.34730 0.00000 0.34730 -0.68404 1.00000 -1.28558 1.53209 -1.73205 1.87939 -1.96962 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E52g 2.00000 -1.98648 1.94609 -1.87939 1.78727 -1.67098 1.53209 -1.37248 1.19432 -1.00000 0.79216 -0.57361 0.34730 -0.11629 -0.11629 0.34730 -0.57361 0.79216 -1.00000 1.19432 -1.37248 1.53209 -1.67098 1.78727 -1.87939 1.94609 -1.98648 2.00000 -1.98648 1.94609 -1.87939 1.78727 -1.67098 1.53209 -1.37248 1.19432 -1.00000 0.79216 -0.57361 0.34730 -0.11629 -0.11629 0.34730 -0.57361 0.79216 -1.00000 1.19432 -1.37248 1.53209 -1.67098 1.78727 -1.87939 1.94609 -1.98648 2.00000 0.00000 0.00000 2.00000 -1.98648 1.94609 -1.87939 1.78727 -1.67098 1.53209 -1.37248 1.19432 -1.00000 0.79216 -0.57361 0.34730 -0.11629 -0.11629 0.34730 -0.57361 0.79216 -1.00000 1.19432 -1.37248 1.53209 -1.67098 1.78727 -1.87939 1.94609 -1.98648 2.00000 -1.98648 1.94609 -1.87939 1.78727 -1.67098 1.53209 -1.37248 1.19432 -1.00000 0.79216 -0.57361 0.34730 -0.11629 -0.11629 0.34730 -0.57361 0.79216 -1.00000 1.19432 -1.37248 1.53209 -1.67098 1.78727 -1.87939 1.94609 -1.98648 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E53g 2.00000 -1.99662 1.98648 -1.96962 1.94609 -1.91598 1.87939 -1.83643 1.78727 -1.73205 1.67098 -1.60425 1.53209 -1.45475 1.37248 -1.28558 1.19432 -1.09902 1.00000 -0.89760 0.79216 -0.68404 0.57361 -0.46123 0.34730 -0.23219 0.11629 0.00000 -0.11629 0.23219 -0.34730 0.46123 -0.57361 0.68404 -0.79216 0.89760 -1.00000 1.09902 -1.19432 1.28558 -1.37248 1.45475 -1.53209 1.60425 -1.67098 1.73205 -1.78727 1.83643 -1.87939 1.91598 -1.94609 1.96962 -1.98648 1.99662 -2.00000 0.00000 0.00000 2.00000 1.99662 -1.98648 1.96962 -1.94609 1.91598 -1.87939 1.83643 -1.78727 1.73205 -1.67098 1.60425 -1.53209 1.45475 -1.37248 1.28558 -1.19432 1.09902 -1.00000 0.89760 -0.79216 0.68404 -0.57361 0.46123 -0.34730 0.23219 -0.11629 0.00000 0.11629 -0.23219 0.34730 -0.46123 0.57361 -0.68404 0.79216 -0.89760 1.00000 -1.09902 1.19432 -1.28558 1.37248 -1.45475 1.53209 -1.60425 1.67098 -1.73205 1.78727 -1.83643 1.87939 -1.91598 1.94609 -1.96962 1.98648 -1.99662 -2.00000 0.00000 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 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 ... ... ..... ....... ......... ........... ............. 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E52u 2.00000 -1.98648 1.94609 -1.87939 1.78727 -1.67098 1.53209 -1.37248 1.19432 -1.00000 0.79216 -0.57361 0.34730 -0.11629 -0.11629 0.34730 -0.57361 0.79216 -1.00000 1.19432 -1.37248 1.53209 -1.67098 1.78727 -1.87939 1.94609 -1.98648 2.00000 -1.98648 1.94609 -1.87939 1.78727 -1.67098 1.53209 -1.37248 1.19432 -1.00000 0.79216 -0.57361 0.34730 -0.11629 -0.11629 0.34730 -0.57361 0.79216 -1.00000 1.19432 -1.37248 1.53209 -1.67098 1.78727 -1.87939 1.94609 -1.98648 2.00000 0.00000 0.00000 -2.00000 1.98648 -1.94609 1.87939 -1.78727 1.67098 -1.53209 1.37248 -1.19432 1.00000 -0.79216 0.57361 -0.34730 0.11629 0.11629 -0.34730 0.57361 -0.79216 1.00000 -1.19432 1.37248 -1.53209 1.67098 -1.78727 1.87939 -1.94609 1.98648 -2.00000 1.98648 -1.94609 1.87939 -1.78727 1.67098 -1.53209 1.37248 -1.19432 1.00000 -0.79216 0.57361 -0.34730 0.11629 0.11629 -0.34730 0.57361 -0.79216 1.00000 -1.19432 1.37248 -1.53209 1.67098 -1.78727 1.87939 -1.94609 1.98648 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E53u 2.00000 -1.99662 1.98648 -1.96962 1.94609 -1.91598 1.87939 -1.83643 1.78727 -1.73205 1.67098 -1.60425 1.53209 -1.45475 1.37248 -1.28558 1.19432 -1.09902 1.00000 -0.89760 0.79216 -0.68404 0.57361 -0.46123 0.34730 -0.23219 0.11629 0.00000 -0.11629 0.23219 -0.34730 0.46123 -0.57361 0.68404 -0.79216 0.89760 -1.00000 1.09902 -1.19432 1.28558 -1.37248 1.45475 -1.53209 1.60425 -1.67098 1.73205 -1.78727 1.83643 -1.87939 1.91598 -1.94609 1.96962 -1.98648 1.99662 -2.00000 0.00000 0.00000 -2.00000 -1.99662 1.98648 -1.96962 1.94609 -1.91598 1.87939 -1.83643 1.78727 -1.73205 1.67098 -1.60425 1.53209 -1.45475 1.37248 -1.28558 1.19432 -1.09902 1.00000 -0.89760 0.79216 -0.68404 0.57361 -0.46123 0.34730 -0.23219 0.11629 0.00000 -0.11629 0.23219 -0.34730 0.46123 -0.57361 0.68404 -0.79216 0.89760 -1.00000 1.09902 -1.19432 1.28558 -1.37248 1.45475 -1.53209 1.60425 -1.67098 1.73205 -1.78727 1.83643 -1.87939 1.91598 -1.94609 1.96962 -1.98648 1.99662 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.996616316543 = 2*cos(2*π/108) = 2*cos(π/54) 1.986476715484 = 2*cos(4*π/108) = 2*cos(π/27) 1.969615506024 = 2*cos(6*π/108) = 2*cos(π/18) 1.946089741160 = 2*cos(8*π/108) = 2*cos(2*π/27) 1.915979024631 = 2*cos(10*π/108) = 2*cos(5*π/54) 1.879385241572 = 2*cos(12*π/108) = 2*cos(π/9) 1.836432213761 = 2*cos(14*π/108) = 2*cos(7*π/54) 1.787265280647 = 2*cos(16*π/108) = 2*cos(4*π/27) 1.732050807569 = 2*cos(18*π/108) = 2*cos(π/6) = √3 1.670975622826 = 2*cos(20*π/108) = 2*cos(5*π/27) 1.604246385510 = 2*cos(22*π/108) = 2*cos(11*π/54) 1.532088886238 = 2*cos(24*π/108) = 2*cos(2*π/9) 1.454747283146 = 2*cos(26*π/108) = 2*cos(13*π/54) 1.372483275737 = 2*cos(28*π/108) = 2*cos(7*π/27) 1.285575219373 = 2*cos(30*π/108) = 2*cos(5*π/18) 1.194317183406 = 2*cos(32*π/108) = 2*cos(8*π/27) 1.099017956142 = 2*cos(34*π/108) = 2*cos(17*π/54) 0.897598360401 = 2*cos(38*π/108) = 2*cos(19*π/54) 0.792159532078 = 2*cos(40*π/108) = 2*cos(10*π/27) 0.684040286651 = 2*cos(42*π/108) = 2*cos(7*π/18) 0.573606465422 = 2*cos(44*π/108) = 2*cos(11*π/27) 0.461231741485 = 2*cos(46*π/108) = 2*cos(23*π/54) 0.347296355334 = 2*cos(48*π/108) = 2*cos(4*π/9) 0.232185828250 = 2*cos(50*π/108) = 2*cos(25*π/54) 0.116289657821 = 2*cos(52*π/108) = 2*cos(13*π/27) 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 D108h point group is 432, and the order of the principal axis (C108) is 108. The group has 114 irreducible representations. β The D108h point group is generated by three symmetry elements that are canonically chosen C108, 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 S108 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 D108h 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.
D106h | ||
D107h | ||
C108 C108v C108h D108 | D108h | D108d S108 |
D109h | ||
D110h |
This Character Table for the D108h point group was created by Gernot Katzer.
For other groups and some explanations, see the Main Page.