D54h E 2 C54 2 C27 2 C18 2 C27^2 2 C54^5 2 C9 2 C54^7 2 C27^4 2 C6 2 C27^5 2 C54^11 2 C9^2 2 C54^13 2 C27^7 2 C18^5 2 C27^8 2 C54^17 2 C3 2 C54^19 2 C27^10 2 C18^7 2 C27^11 2 C54^23 2 C9^4 2 C54^25 2 C27^13 C2 27 C2' 27 C2" i 2 S54 2 S27 2 S18 2 S27^2 2 S54^5 2 S9 2 S54^7 2 S27^4 2 S6 2 S27^5 2 S54^11 2 S9^2 2 S54^13 2 S27^7 2 S18^5 2 S27^8 2 S54^17 2 S3 2 S54^19 2 S27^10 2 S18^7 2 S27^11 2 S54^23 2 S9^4 2 S54^25 2 S27^13 sh 27 sv 27 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 ... ... ....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 ..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 ... ... ..... ....... ......... ........... ............. 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 ... ... ..... ....... ......... ........... ............. E1g 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 0.00000 0.00000 TT. ... ..TT. ....... ......TT. ........... ..........TT. E2g 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 0.00000 0.00000 ... ... TT... ....... ....TT... ........... ........TT... E3g 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 0.00000 0.00000 ... ... ..... ....... ..TT..... ........... ......TT..... E4g 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 0.00000 0.00000 ... ... ..... ....... TT....... ........... ....TT....... E5g 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ..TT......... E6g 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 0.00000 0.00000 ... ... ..... ....... ......... ........... TT........... E7g 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E8g 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E9g 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E10g 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E11g 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E12g 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E13g 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E14g 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E15g 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E16g 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E17g 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 0.00000 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 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E19g 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E20g 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E21g 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E22g 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E23g 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E24g 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E25g 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E26g 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 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 ... ... ..... ....... ......... ........... ............. A2u 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 1.00000 1.00000 ... ..T ..... ......T ......... ..........T ............. 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 ... ... ..... ....... ......... ........... ............. 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 ... ... ..... ....... ......... ........... ............. E1u 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 0.00000 0.00000 ... TT. ..... ....TT. ......... ........TT. ............. E2u 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 0.00000 0.00000 ... ... ..... ..TT... ......... ......TT... ............. E3u 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 0.00000 0.00000 ... ... ..... TT..... ......... ....TT..... ............. E4u 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 0.00000 0.00000 ... ... ..... ....... ......... ..TT....... ............. E5u 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 0.00000 0.00000 ... ... ..... ....... ......... TT......... ............. E6u 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E7u 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E8u 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E9u 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E10u 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E11u 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E12u 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E13u 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E14u 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E15u 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E16u 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E17u 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E18u 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E19u 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E20u 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E21u 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E22u 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E23u 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E24u 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E25u 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E26u 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 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.986476715484 = 2*cos(2*π/54) = 2*cos(π/27) 1.946089741160 = 2*cos(4*π/54) = 2*cos(2*π/27) 1.879385241572 = 2*cos(6*π/54) = 2*cos(π/9) 1.787265280647 = 2*cos(8*π/54) = 2*cos(4*π/27) 1.670975622826 = 2*cos(10*π/54) = 2*cos(5*π/27) 1.532088886238 = 2*cos(12*π/54) = 2*cos(2*π/9) 1.372483275737 = 2*cos(14*π/54) = 2*cos(7*π/27) 1.194317183406 = 2*cos(16*π/54) = 2*cos(8*π/27) 0.792159532078 = 2*cos(20*π/54) = 2*cos(10*π/27) 0.573606465422 = 2*cos(22*π/54) = 2*cos(11*π/27) 0.347296355334 = 2*cos(24*π/54) = 2*cos(4*π/9) 0.116289657821 = 2*cos(26*π/54) = 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 D54h point group is 216, and the order of the principal axis (C54) is 54. The group has 60 irreducible representations. β The D54h point group is generated by three symmetry elements that are canonically chosen C54, 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 S54 can be chosen, together with σh or C2 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′ has the x axis as a member, while the y axis is a member of the C2″ set. 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 has the xz plane as a member, while the yz plane is a member of the σd set. ε The lowest nonvanishing multipole moment in D54h 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. All characters of this group can be expressed using complex numbers, elementary arithmetic operations, square roots and third roots.
D52h | ||
D53h | ||
C54 C54v C54h D54 | D54h | D54d S54 |
D55h | ||
D56h |
This Character Table for the D54h point group was created by Gernot Katzer.
For other groups and some explanations, see the Main Page.