Character Table for Point Group D70h

Character table for the D_70h point group

D70h E 2 C70 2 C35 2 C70^3 2 C35^2 2 C14 2 C35^3 2 C10 2 C35^4 2 C70^9 2 C7 2 C70^11 2 C35^6 2 C70^13 2 C5 2 C14^3 2 C35^8 2 C70^17 2 C35^9 2 C70^19 2 C7^2 2 C10^3 2 C35^11 2 C70^23 2 C35^12 2 C14^5 2 C35^13 2 C70^27 2 C5^2 2 C70^29 2 C7^3 2 C70^31 2 C35^16 2 C70^33 2 C35^17 C2 35 C2' 35 C2" i 2 S70 2 S35 2 S70^3 2 S35^2 2 S14 2 S35^3 2 S10 2 S35^4 2 S70^9 2 S7 2 S70^11 2 S35^6 2 S70^13 2 S5 2 S14^3 2 S35^8 2 S70^17 2 S35^9 2 S70^19 2 S7^2 2 S10^3 2 S35^11 2 S70^23 2 S35^12 2 S14^5 2 S35^13 2 S70^27 2 S5^2 2 S70^29 2 S7^3 2 S70^31 2 S35^16 2 S70^33 2 S35^17 sh 35 sv 35 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 ... ... ....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 ..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 ... ... ..... ....... ......... ........... ............. 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 ... ... ..... ....... ......... ........... ............. E1g 2.00000 1.99195 1.96786 1.92793 1.87247 1.80194 1.71690 1.61803 1.50614 1.38213 1.24698 1.10179 0.94774 0.78605 0.61803 0.44504 0.26847 0.08973 -0.08973 -0.26847 -0.44504 -0.61803 -0.78605 -0.94774 -1.10179 -1.24698 -1.38213 -1.50614 -1.61803 -1.71690 -1.80194 -1.87247 -1.92793 -1.96786 -1.99195 -2.00000 0.00000 0.00000 2.00000 -1.99195 -1.96786 -1.92793 -1.87247 -1.80194 -1.71690 -1.61803 -1.50614 -1.38213 -1.24698 -1.10179 -0.94774 -0.78605 -0.61803 -0.44504 -0.26847 -0.08973 0.08973 0.26847 0.44504 0.61803 0.78605 0.94774 1.10179 1.24698 1.38213 1.50614 1.61803 1.71690 1.80194 1.87247 1.92793 1.96786 1.99195 -2.00000 0.00000 0.00000 TT. ... ..TT. ....... ......TT. ........... ..........TT. E2g 2.00000 1.96786 1.87247 1.71690 1.50614 1.24698 0.94774 0.61803 0.26847 -0.08973 -0.44504 -0.78605 -1.10179 -1.38213 -1.61803 -1.80194 -1.92793 -1.99195 -1.99195 -1.92793 -1.80194 -1.61803 -1.38213 -1.10179 -0.78605 -0.44504 -0.08973 0.26847 0.61803 0.94774 1.24698 1.50614 1.71690 1.87247 1.96786 2.00000 0.00000 0.00000 2.00000 1.96786 1.87247 1.71690 1.50614 1.24698 0.94774 0.61803 0.26847 -0.08973 -0.44504 -0.78605 -1.10179 -1.38213 -1.61803 -1.80194 -1.92793 -1.99195 -1.99195 -1.92793 -1.80194 -1.61803 -1.38213 -1.10179 -0.78605 -0.44504 -0.08973 0.26847 0.61803 0.94774 1.24698 1.50614 1.71690 1.87247 1.96786 2.00000 0.00000 0.00000 ... ... TT... ....... ....TT... ........... ........TT... E3g 2.00000 1.92793 1.71690 1.38213 0.94774 0.44504 -0.08973 -0.61803 -1.10179 -1.50614 -1.80194 -1.96786 -1.99195 -1.87247 -1.61803 -1.24698 -0.78605 -0.26847 0.26847 0.78605 1.24698 1.61803 1.87247 1.99195 1.96786 1.80194 1.50614 1.10179 0.61803 0.08973 -0.44504 -0.94774 -1.38213 -1.71690 -1.92793 -2.00000 0.00000 0.00000 2.00000 -1.92793 -1.71690 -1.38213 -0.94774 -0.44504 0.08973 0.61803 1.10179 1.50614 1.80194 1.96786 1.99195 1.87247 1.61803 1.24698 0.78605 0.26847 -0.26847 -0.78605 -1.24698 -1.61803 -1.87247 -1.99195 -1.96786 -1.80194 -1.50614 -1.10179 -0.61803 -0.08973 0.44504 0.94774 1.38213 1.71690 1.92793 -2.00000 0.00000 0.00000 ... ... ..... ....... ..TT..... ........... ......TT..... E4g 2.00000 1.87247 1.50614 0.94774 0.26847 -0.44504 -1.10179 -1.61803 -1.92793 -1.99195 -1.80194 -1.38213 -0.78605 -0.08973 0.61803 1.24698 1.71690 1.96786 1.96786 1.71690 1.24698 0.61803 -0.08973 -0.78605 -1.38213 -1.80194 -1.99195 -1.92793 -1.61803 -1.10179 -0.44504 0.26847 0.94774 1.50614 1.87247 2.00000 0.00000 0.00000 2.00000 1.87247 1.50614 0.94774 0.26847 -0.44504 -1.10179 -1.61803 -1.92793 -1.99195 -1.80194 -1.38213 -0.78605 -0.08973 0.61803 1.24698 1.71690 1.96786 1.96786 1.71690 1.24698 0.61803 -0.08973 -0.78605 -1.38213 -1.80194 -1.99195 -1.92793 -1.61803 -1.10179 -0.44504 0.26847 0.94774 1.50614 1.87247 2.00000 0.00000 0.00000 ... ... ..... ....... TT....... ........... ....TT....... E5g 2.00000 1.80194 1.24698 0.44504 -0.44504 -1.24698 -1.80194 -2.00000 -1.80194 -1.24698 -0.44504 0.44504 1.24698 1.80194 2.00000 1.80194 1.24698 0.44504 -0.44504 -1.24698 -1.80194 -2.00000 -1.80194 -1.24698 -0.44504 0.44504 1.24698 1.80194 2.00000 1.80194 1.24698 0.44504 -0.44504 -1.24698 -1.80194 -2.00000 0.00000 0.00000 2.00000 -1.80194 -1.24698 -0.44504 0.44504 1.24698 1.80194 2.00000 1.80194 1.24698 0.44504 -0.44504 -1.24698 -1.80194 -2.00000 -1.80194 -1.24698 -0.44504 0.44504 1.24698 1.80194 2.00000 1.80194 1.24698 0.44504 -0.44504 -1.24698 -1.80194 -2.00000 -1.80194 -1.24698 -0.44504 0.44504 1.24698 1.80194 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ..TT......... E6g 2.00000 1.71690 0.94774 -0.08973 -1.10179 -1.80194 -1.99195 -1.61803 -0.78605 0.26847 1.24698 1.87247 1.96786 1.50614 0.61803 -0.44504 -1.38213 -1.92793 -1.92793 -1.38213 -0.44504 0.61803 1.50614 1.96786 1.87247 1.24698 0.26847 -0.78605 -1.61803 -1.99195 -1.80194 -1.10179 -0.08973 0.94774 1.71690 2.00000 0.00000 0.00000 2.00000 1.71690 0.94774 -0.08973 -1.10179 -1.80194 -1.99195 -1.61803 -0.78605 0.26847 1.24698 1.87247 1.96786 1.50614 0.61803 -0.44504 -1.38213 -1.92793 -1.92793 -1.38213 -0.44504 0.61803 1.50614 1.96786 1.87247 1.24698 0.26847 -0.78605 -1.61803 -1.99195 -1.80194 -1.10179 -0.08973 0.94774 1.71690 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... TT........... E7g 2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803 0.61803 1.61803 2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803 0.61803 1.61803 2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803 0.61803 1.61803 2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 0.00000 0.00000 2.00000 -1.61803 -0.61803 0.61803 1.61803 2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803 0.61803 1.61803 2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803 0.61803 1.61803 2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803 0.61803 1.61803 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E8g 2.00000 1.50614 0.26847 -1.10179 -1.92793 -1.80194 -0.78605 0.61803 1.71690 1.96786 1.24698 -0.08973 -1.38213 -1.99195 -1.61803 -0.44504 0.94774 1.87247 1.87247 0.94774 -0.44504 -1.61803 -1.99195 -1.38213 -0.08973 1.24698 1.96786 1.71690 0.61803 -0.78605 -1.80194 -1.92793 -1.10179 0.26847 1.50614 2.00000 0.00000 0.00000 2.00000 1.50614 0.26847 -1.10179 -1.92793 -1.80194 -0.78605 0.61803 1.71690 1.96786 1.24698 -0.08973 -1.38213 -1.99195 -1.61803 -0.44504 0.94774 1.87247 1.87247 0.94774 -0.44504 -1.61803 -1.99195 -1.38213 -0.08973 1.24698 1.96786 1.71690 0.61803 -0.78605 -1.80194 -1.92793 -1.10179 0.26847 1.50614 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E9g 2.00000 1.38213 -0.08973 -1.50614 -1.99195 -1.24698 0.26847 1.61803 1.96786 1.10179 -0.44504 -1.71690 -1.92793 -0.94774 0.61803 1.80194 1.87247 0.78605 -0.78605 -1.87247 -1.80194 -0.61803 0.94774 1.92793 1.71690 0.44504 -1.10179 -1.96786 -1.61803 -0.26847 1.24698 1.99195 1.50614 0.08973 -1.38213 -2.00000 0.00000 0.00000 2.00000 -1.38213 0.08973 1.50614 1.99195 1.24698 -0.26847 -1.61803 -1.96786 -1.10179 0.44504 1.71690 1.92793 0.94774 -0.61803 -1.80194 -1.87247 -0.78605 0.78605 1.87247 1.80194 0.61803 -0.94774 -1.92793 -1.71690 -0.44504 1.10179 1.96786 1.61803 0.26847 -1.24698 -1.99195 -1.50614 -0.08973 1.38213 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E10g 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 0.00000 0.00000 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E11g 2.00000 1.10179 -0.78605 -1.96786 -1.38213 0.44504 1.87247 1.61803 -0.08973 -1.71690 -1.80194 -0.26847 1.50614 1.92793 0.61803 -1.24698 -1.99195 -0.94774 0.94774 1.99195 1.24698 -0.61803 -1.92793 -1.50614 0.26847 1.80194 1.71690 0.08973 -1.61803 -1.87247 -0.44504 1.38213 1.96786 0.78605 -1.10179 -2.00000 0.00000 0.00000 2.00000 -1.10179 0.78605 1.96786 1.38213 -0.44504 -1.87247 -1.61803 0.08973 1.71690 1.80194 0.26847 -1.50614 -1.92793 -0.61803 1.24698 1.99195 0.94774 -0.94774 -1.99195 -1.24698 0.61803 1.92793 1.50614 -0.26847 -1.80194 -1.71690 -0.08973 1.61803 1.87247 0.44504 -1.38213 -1.96786 -0.78605 1.10179 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E12g 2.00000 0.94774 -1.10179 -1.99195 -0.78605 1.24698 1.96786 0.61803 -1.38213 -1.92793 -0.44504 1.50614 1.87247 0.26847 -1.61803 -1.80194 -0.08973 1.71690 1.71690 -0.08973 -1.80194 -1.61803 0.26847 1.87247 1.50614 -0.44504 -1.92793 -1.38213 0.61803 1.96786 1.24698 -0.78605 -1.99195 -1.10179 0.94774 2.00000 0.00000 0.00000 2.00000 0.94774 -1.10179 -1.99195 -0.78605 1.24698 1.96786 0.61803 -1.38213 -1.92793 -0.44504 1.50614 1.87247 0.26847 -1.61803 -1.80194 -0.08973 1.71690 1.71690 -0.08973 -1.80194 -1.61803 0.26847 1.87247 1.50614 -0.44504 -1.92793 -1.38213 0.61803 1.96786 1.24698 -0.78605 -1.99195 -1.10179 0.94774 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E13g 2.00000 0.78605 -1.38213 -1.87247 -0.08973 1.80194 1.50614 -0.61803 -1.99195 -0.94774 1.24698 1.92793 0.26847 -1.71690 -1.61803 0.44504 1.96786 1.10179 -1.10179 -1.96786 -0.44504 1.61803 1.71690 -0.26847 -1.92793 -1.24698 0.94774 1.99195 0.61803 -1.50614 -1.80194 0.08973 1.87247 1.38213 -0.78605 -2.00000 0.00000 0.00000 2.00000 -0.78605 1.38213 1.87247 0.08973 -1.80194 -1.50614 0.61803 1.99195 0.94774 -1.24698 -1.92793 -0.26847 1.71690 1.61803 -0.44504 -1.96786 -1.10179 1.10179 1.96786 0.44504 -1.61803 -1.71690 0.26847 1.92793 1.24698 -0.94774 -1.99195 -0.61803 1.50614 1.80194 -0.08973 -1.87247 -1.38213 0.78605 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E14g 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.00000 0.00000 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E15g 2.00000 0.44504 -1.80194 -1.24698 1.24698 1.80194 -0.44504 -2.00000 -0.44504 1.80194 1.24698 -1.24698 -1.80194 0.44504 2.00000 0.44504 -1.80194 -1.24698 1.24698 1.80194 -0.44504 -2.00000 -0.44504 1.80194 1.24698 -1.24698 -1.80194 0.44504 2.00000 0.44504 -1.80194 -1.24698 1.24698 1.80194 -0.44504 -2.00000 0.00000 0.00000 2.00000 -0.44504 1.80194 1.24698 -1.24698 -1.80194 0.44504 2.00000 0.44504 -1.80194 -1.24698 1.24698 1.80194 -0.44504 -2.00000 -0.44504 1.80194 1.24698 -1.24698 -1.80194 0.44504 2.00000 0.44504 -1.80194 -1.24698 1.24698 1.80194 -0.44504 -2.00000 -0.44504 1.80194 1.24698 -1.24698 -1.80194 0.44504 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E16g 2.00000 0.26847 -1.92793 -0.78605 1.71690 1.24698 -1.38213 -1.61803 0.94774 1.87247 -0.44504 -1.99195 -0.08973 1.96786 0.61803 -1.80194 -1.10179 1.50614 1.50614 -1.10179 -1.80194 0.61803 1.96786 -0.08973 -1.99195 -0.44504 1.87247 0.94774 -1.61803 -1.38213 1.24698 1.71690 -0.78605 -1.92793 0.26847 2.00000 0.00000 0.00000 2.00000 0.26847 -1.92793 -0.78605 1.71690 1.24698 -1.38213 -1.61803 0.94774 1.87247 -0.44504 -1.99195 -0.08973 1.96786 0.61803 -1.80194 -1.10179 1.50614 1.50614 -1.10179 -1.80194 0.61803 1.96786 -0.08973 -1.99195 -0.44504 1.87247 0.94774 -1.61803 -1.38213 1.24698 1.71690 -0.78605 -1.92793 0.26847 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E17g 2.00000 0.08973 -1.99195 -0.26847 1.96786 0.44504 -1.92793 -0.61803 1.87247 0.78605 -1.80194 -0.94774 1.71690 1.10179 -1.61803 -1.24698 1.50614 1.38213 -1.38213 -1.50614 1.24698 1.61803 -1.10179 -1.71690 0.94774 1.80194 -0.78605 -1.87247 0.61803 1.92793 -0.44504 -1.96786 0.26847 1.99195 -0.08973 -2.00000 0.00000 0.00000 2.00000 -0.08973 1.99195 0.26847 -1.96786 -0.44504 1.92793 0.61803 -1.87247 -0.78605 1.80194 0.94774 -1.71690 -1.10179 1.61803 1.24698 -1.50614 -1.38213 1.38213 1.50614 -1.24698 -1.61803 1.10179 1.71690 -0.94774 -1.80194 0.78605 1.87247 -0.61803 -1.92793 0.44504 1.96786 -0.26847 -1.99195 0.08973 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E18g 2.00000 -0.08973 -1.99195 0.26847 1.96786 -0.44504 -1.92793 0.61803 1.87247 -0.78605 -1.80194 0.94774 1.71690 -1.10179 -1.61803 1.24698 1.50614 -1.38213 -1.38213 1.50614 1.24698 -1.61803 -1.10179 1.71690 0.94774 -1.80194 -0.78605 1.87247 0.61803 -1.92793 -0.44504 1.96786 0.26847 -1.99195 -0.08973 2.00000 0.00000 0.00000 2.00000 -0.08973 -1.99195 0.26847 1.96786 -0.44504 -1.92793 0.61803 1.87247 -0.78605 -1.80194 0.94774 1.71690 -1.10179 -1.61803 1.24698 1.50614 -1.38213 -1.38213 1.50614 1.24698 -1.61803 -1.10179 1.71690 0.94774 -1.80194 -0.78605 1.87247 0.61803 -1.92793 -0.44504 1.96786 0.26847 -1.99195 -0.08973 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E19g 2.00000 -0.26847 -1.92793 0.78605 1.71690 -1.24698 -1.38213 1.61803 0.94774 -1.87247 -0.44504 1.99195 -0.08973 -1.96786 0.61803 1.80194 -1.10179 -1.50614 1.50614 1.10179 -1.80194 -0.61803 1.96786 0.08973 -1.99195 0.44504 1.87247 -0.94774 -1.61803 1.38213 1.24698 -1.71690 -0.78605 1.92793 0.26847 -2.00000 0.00000 0.00000 2.00000 0.26847 1.92793 -0.78605 -1.71690 1.24698 1.38213 -1.61803 -0.94774 1.87247 0.44504 -1.99195 0.08973 1.96786 -0.61803 -1.80194 1.10179 1.50614 -1.50614 -1.10179 1.80194 0.61803 -1.96786 -0.08973 1.99195 -0.44504 -1.87247 0.94774 1.61803 -1.38213 -1.24698 1.71690 0.78605 -1.92793 -0.26847 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E20g 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 0.00000 0.00000 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E21g 2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.61803 1.61803 -1.61803 -0.61803 2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.61803 1.61803 -1.61803 -0.61803 2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.61803 1.61803 -1.61803 -0.61803 2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.00000 0.00000 2.00000 0.61803 1.61803 -1.61803 -0.61803 2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.61803 1.61803 -1.61803 -0.61803 2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.61803 1.61803 -1.61803 -0.61803 2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.61803 1.61803 -1.61803 -0.61803 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E22g 2.00000 -0.78605 -1.38213 1.87247 -0.08973 -1.80194 1.50614 0.61803 -1.99195 0.94774 1.24698 -1.92793 0.26847 1.71690 -1.61803 -0.44504 1.96786 -1.10179 -1.10179 1.96786 -0.44504 -1.61803 1.71690 0.26847 -1.92793 1.24698 0.94774 -1.99195 0.61803 1.50614 -1.80194 -0.08973 1.87247 -1.38213 -0.78605 2.00000 0.00000 0.00000 2.00000 -0.78605 -1.38213 1.87247 -0.08973 -1.80194 1.50614 0.61803 -1.99195 0.94774 1.24698 -1.92793 0.26847 1.71690 -1.61803 -0.44504 1.96786 -1.10179 -1.10179 1.96786 -0.44504 -1.61803 1.71690 0.26847 -1.92793 1.24698 0.94774 -1.99195 0.61803 1.50614 -1.80194 -0.08973 1.87247 -1.38213 -0.78605 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E23g 2.00000 -0.94774 -1.10179 1.99195 -0.78605 -1.24698 1.96786 -0.61803 -1.38213 1.92793 -0.44504 -1.50614 1.87247 -0.26847 -1.61803 1.80194 -0.08973 -1.71690 1.71690 0.08973 -1.80194 1.61803 0.26847 -1.87247 1.50614 0.44504 -1.92793 1.38213 0.61803 -1.96786 1.24698 0.78605 -1.99195 1.10179 0.94774 -2.00000 0.00000 0.00000 2.00000 0.94774 1.10179 -1.99195 0.78605 1.24698 -1.96786 0.61803 1.38213 -1.92793 0.44504 1.50614 -1.87247 0.26847 1.61803 -1.80194 0.08973 1.71690 -1.71690 -0.08973 1.80194 -1.61803 -0.26847 1.87247 -1.50614 -0.44504 1.92793 -1.38213 -0.61803 1.96786 -1.24698 -0.78605 1.99195 -1.10179 -0.94774 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E24g 2.00000 -1.10179 -0.78605 1.96786 -1.38213 -0.44504 1.87247 -1.61803 -0.08973 1.71690 -1.80194 0.26847 1.50614 -1.92793 0.61803 1.24698 -1.99195 0.94774 0.94774 -1.99195 1.24698 0.61803 -1.92793 1.50614 0.26847 -1.80194 1.71690 -0.08973 -1.61803 1.87247 -0.44504 -1.38213 1.96786 -0.78605 -1.10179 2.00000 0.00000 0.00000 2.00000 -1.10179 -0.78605 1.96786 -1.38213 -0.44504 1.87247 -1.61803 -0.08973 1.71690 -1.80194 0.26847 1.50614 -1.92793 0.61803 1.24698 -1.99195 0.94774 0.94774 -1.99195 1.24698 0.61803 -1.92793 1.50614 0.26847 -1.80194 1.71690 -0.08973 -1.61803 1.87247 -0.44504 -1.38213 1.96786 -0.78605 -1.10179 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E25g 2.00000 -1.24698 -0.44504 1.80194 -1.80194 0.44504 1.24698 -2.00000 1.24698 0.44504 -1.80194 1.80194 -0.44504 -1.24698 2.00000 -1.24698 -0.44504 1.80194 -1.80194 0.44504 1.24698 -2.00000 1.24698 0.44504 -1.80194 1.80194 -0.44504 -1.24698 2.00000 -1.24698 -0.44504 1.80194 -1.80194 0.44504 1.24698 -2.00000 0.00000 0.00000 2.00000 1.24698 0.44504 -1.80194 1.80194 -0.44504 -1.24698 2.00000 -1.24698 -0.44504 1.80194 -1.80194 0.44504 1.24698 -2.00000 1.24698 0.44504 -1.80194 1.80194 -0.44504 -1.24698 2.00000 -1.24698 -0.44504 1.80194 -1.80194 0.44504 1.24698 -2.00000 1.24698 0.44504 -1.80194 1.80194 -0.44504 -1.24698 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E26g 2.00000 -1.38213 -0.08973 1.50614 -1.99195 1.24698 0.26847 -1.61803 1.96786 -1.10179 -0.44504 1.71690 -1.92793 0.94774 0.61803 -1.80194 1.87247 -0.78605 -0.78605 1.87247 -1.80194 0.61803 0.94774 -1.92793 1.71690 -0.44504 -1.10179 1.96786 -1.61803 0.26847 1.24698 -1.99195 1.50614 -0.08973 -1.38213 2.00000 0.00000 0.00000 2.00000 -1.38213 -0.08973 1.50614 -1.99195 1.24698 0.26847 -1.61803 1.96786 -1.10179 -0.44504 1.71690 -1.92793 0.94774 0.61803 -1.80194 1.87247 -0.78605 -0.78605 1.87247 -1.80194 0.61803 0.94774 -1.92793 1.71690 -0.44504 -1.10179 1.96786 -1.61803 0.26847 1.24698 -1.99195 1.50614 -0.08973 -1.38213 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E27g 2.00000 -1.50614 0.26847 1.10179 -1.92793 1.80194 -0.78605 -0.61803 1.71690 -1.96786 1.24698 0.08973 -1.38213 1.99195 -1.61803 0.44504 0.94774 -1.87247 1.87247 -0.94774 -0.44504 1.61803 -1.99195 1.38213 -0.08973 -1.24698 1.96786 -1.71690 0.61803 0.78605 -1.80194 1.92793 -1.10179 -0.26847 1.50614 -2.00000 0.00000 0.00000 2.00000 1.50614 -0.26847 -1.10179 1.92793 -1.80194 0.78605 0.61803 -1.71690 1.96786 -1.24698 -0.08973 1.38213 -1.99195 1.61803 -0.44504 -0.94774 1.87247 -1.87247 0.94774 0.44504 -1.61803 1.99195 -1.38213 0.08973 1.24698 -1.96786 1.71690 -0.61803 -0.78605 1.80194 -1.92793 1.10179 0.26847 -1.50614 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E28g 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 0.00000 0.00000 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E29g 2.00000 -1.71690 0.94774 0.08973 -1.10179 1.80194 -1.99195 1.61803 -0.78605 -0.26847 1.24698 -1.87247 1.96786 -1.50614 0.61803 0.44504 -1.38213 1.92793 -1.92793 1.38213 -0.44504 -0.61803 1.50614 -1.96786 1.87247 -1.24698 0.26847 0.78605 -1.61803 1.99195 -1.80194 1.10179 -0.08973 -0.94774 1.71690 -2.00000 0.00000 0.00000 2.00000 1.71690 -0.94774 -0.08973 1.10179 -1.80194 1.99195 -1.61803 0.78605 0.26847 -1.24698 1.87247 -1.96786 1.50614 -0.61803 -0.44504 1.38213 -1.92793 1.92793 -1.38213 0.44504 0.61803 -1.50614 1.96786 -1.87247 1.24698 -0.26847 -0.78605 1.61803 -1.99195 1.80194 -1.10179 0.08973 0.94774 -1.71690 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E30g 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 0.00000 0.00000 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E31g 2.00000 -1.87247 1.50614 -0.94774 0.26847 0.44504 -1.10179 1.61803 -1.92793 1.99195 -1.80194 1.38213 -0.78605 0.08973 0.61803 -1.24698 1.71690 -1.96786 1.96786 -1.71690 1.24698 -0.61803 -0.08973 0.78605 -1.38213 1.80194 -1.99195 1.92793 -1.61803 1.10179 -0.44504 -0.26847 0.94774 -1.50614 1.87247 -2.00000 0.00000 0.00000 2.00000 1.87247 -1.50614 0.94774 -0.26847 -0.44504 1.10179 -1.61803 1.92793 -1.99195 1.80194 -1.38213 0.78605 -0.08973 -0.61803 1.24698 -1.71690 1.96786 -1.96786 1.71690 -1.24698 0.61803 0.08973 -0.78605 1.38213 -1.80194 1.99195 -1.92793 1.61803 -1.10179 0.44504 0.26847 -0.94774 1.50614 -1.87247 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E32g 2.00000 -1.92793 1.71690 -1.38213 0.94774 -0.44504 -0.08973 0.61803 -1.10179 1.50614 -1.80194 1.96786 -1.99195 1.87247 -1.61803 1.24698 -0.78605 0.26847 0.26847 -0.78605 1.24698 -1.61803 1.87247 -1.99195 1.96786 -1.80194 1.50614 -1.10179 0.61803 -0.08973 -0.44504 0.94774 -1.38213 1.71690 -1.92793 2.00000 0.00000 0.00000 2.00000 -1.92793 1.71690 -1.38213 0.94774 -0.44504 -0.08973 0.61803 -1.10179 1.50614 -1.80194 1.96786 -1.99195 1.87247 -1.61803 1.24698 -0.78605 0.26847 0.26847 -0.78605 1.24698 -1.61803 1.87247 -1.99195 1.96786 -1.80194 1.50614 -1.10179 0.61803 -0.08973 -0.44504 0.94774 -1.38213 1.71690 -1.92793 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E33g 2.00000 -1.96786 1.87247 -1.71690 1.50614 -1.24698 0.94774 -0.61803 0.26847 0.08973 -0.44504 0.78605 -1.10179 1.38213 -1.61803 1.80194 -1.92793 1.99195 -1.99195 1.92793 -1.80194 1.61803 -1.38213 1.10179 -0.78605 0.44504 -0.08973 -0.26847 0.61803 -0.94774 1.24698 -1.50614 1.71690 -1.87247 1.96786 -2.00000 0.00000 0.00000 2.00000 1.96786 -1.87247 1.71690 -1.50614 1.24698 -0.94774 0.61803 -0.26847 -0.08973 0.44504 -0.78605 1.10179 -1.38213 1.61803 -1.80194 1.92793 -1.99195 1.99195 -1.92793 1.80194 -1.61803 1.38213 -1.10179 0.78605 -0.44504 0.08973 0.26847 -0.61803 0.94774 -1.24698 1.50614 -1.71690 1.87247 -1.96786 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E34g 2.00000 -1.99195 1.96786 -1.92793 1.87247 -1.80194 1.71690 -1.61803 1.50614 -1.38213 1.24698 -1.10179 0.94774 -0.78605 0.61803 -0.44504 0.26847 -0.08973 -0.08973 0.26847 -0.44504 0.61803 -0.78605 0.94774 -1.10179 1.24698 -1.38213 1.50614 -1.61803 1.71690 -1.80194 1.87247 -1.92793 1.96786 -1.99195 2.00000 0.00000 0.00000 2.00000 -1.99195 1.96786 -1.92793 1.87247 -1.80194 1.71690 -1.61803 1.50614 -1.38213 1.24698 -1.10179 0.94774 -0.78605 0.61803 -0.44504 0.26847 -0.08973 -0.08973 0.26847 -0.44504 0.61803 -0.78605 0.94774 -1.10179 1.24698 -1.38213 1.50614 -1.61803 1.71690 -1.80194 1.87247 -1.92793 1.96786 -1.99195 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 ... ... ..... ....... ......... ........... ............. A2u 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -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 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 1.00000 1.00000 -1.00000 ... ... ..... ....... ......... ........... ............. B2u 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 -1.00000 1.00000 -1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 1.00000 -1.00000 1.00000 ... ... ..... ....... ......... ........... ............. E1u 2.00000 1.99195 1.96786 1.92793 1.87247 1.80194 1.71690 1.61803 1.50614 1.38213 1.24698 1.10179 0.94774 0.78605 0.61803 0.44504 0.26847 0.08973 -0.08973 -0.26847 -0.44504 -0.61803 -0.78605 -0.94774 -1.10179 -1.24698 -1.38213 -1.50614 -1.61803 -1.71690 -1.80194 -1.87247 -1.92793 -1.96786 -1.99195 -2.00000 0.00000 0.00000 -2.00000 1.99195 1.96786 1.92793 1.87247 1.80194 1.71690 1.61803 1.50614 1.38213 1.24698 1.10179 0.94774 0.78605 0.61803 0.44504 0.26847 0.08973 -0.08973 -0.26847 -0.44504 -0.61803 -0.78605 -0.94774 -1.10179 -1.24698 -1.38213 -1.50614 -1.61803 -1.71690 -1.80194 -1.87247 -1.92793 -1.96786 -1.99195 2.00000 0.00000 0.00000 ... TT. ..... ....TT. ......... ........TT. ............. E2u 2.00000 1.96786 1.87247 1.71690 1.50614 1.24698 0.94774 0.61803 0.26847 -0.08973 -0.44504 -0.78605 -1.10179 -1.38213 -1.61803 -1.80194 -1.92793 -1.99195 -1.99195 -1.92793 -1.80194 -1.61803 -1.38213 -1.10179 -0.78605 -0.44504 -0.08973 0.26847 0.61803 0.94774 1.24698 1.50614 1.71690 1.87247 1.96786 2.00000 0.00000 0.00000 -2.00000 -1.96786 -1.87247 -1.71690 -1.50614 -1.24698 -0.94774 -0.61803 -0.26847 0.08973 0.44504 0.78605 1.10179 1.38213 1.61803 1.80194 1.92793 1.99195 1.99195 1.92793 1.80194 1.61803 1.38213 1.10179 0.78605 0.44504 0.08973 -0.26847 -0.61803 -0.94774 -1.24698 -1.50614 -1.71690 -1.87247 -1.96786 -2.00000 0.00000 0.00000 ... ... ..... ..TT... ......... ......TT... ............. E3u 2.00000 1.92793 1.71690 1.38213 0.94774 0.44504 -0.08973 -0.61803 -1.10179 -1.50614 -1.80194 -1.96786 -1.99195 -1.87247 -1.61803 -1.24698 -0.78605 -0.26847 0.26847 0.78605 1.24698 1.61803 1.87247 1.99195 1.96786 1.80194 1.50614 1.10179 0.61803 0.08973 -0.44504 -0.94774 -1.38213 -1.71690 -1.92793 -2.00000 0.00000 0.00000 -2.00000 1.92793 1.71690 1.38213 0.94774 0.44504 -0.08973 -0.61803 -1.10179 -1.50614 -1.80194 -1.96786 -1.99195 -1.87247 -1.61803 -1.24698 -0.78605 -0.26847 0.26847 0.78605 1.24698 1.61803 1.87247 1.99195 1.96786 1.80194 1.50614 1.10179 0.61803 0.08973 -0.44504 -0.94774 -1.38213 -1.71690 -1.92793 2.00000 0.00000 0.00000 ... ... ..... TT..... ......... ....TT..... ............. E4u 2.00000 1.87247 1.50614 0.94774 0.26847 -0.44504 -1.10179 -1.61803 -1.92793 -1.99195 -1.80194 -1.38213 -0.78605 -0.08973 0.61803 1.24698 1.71690 1.96786 1.96786 1.71690 1.24698 0.61803 -0.08973 -0.78605 -1.38213 -1.80194 -1.99195 -1.92793 -1.61803 -1.10179 -0.44504 0.26847 0.94774 1.50614 1.87247 2.00000 0.00000 0.00000 -2.00000 -1.87247 -1.50614 -0.94774 -0.26847 0.44504 1.10179 1.61803 1.92793 1.99195 1.80194 1.38213 0.78605 0.08973 -0.61803 -1.24698 -1.71690 -1.96786 -1.96786 -1.71690 -1.24698 -0.61803 0.08973 0.78605 1.38213 1.80194 1.99195 1.92793 1.61803 1.10179 0.44504 -0.26847 -0.94774 -1.50614 -1.87247 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ..TT....... ............. E5u 2.00000 1.80194 1.24698 0.44504 -0.44504 -1.24698 -1.80194 -2.00000 -1.80194 -1.24698 -0.44504 0.44504 1.24698 1.80194 2.00000 1.80194 1.24698 0.44504 -0.44504 -1.24698 -1.80194 -2.00000 -1.80194 -1.24698 -0.44504 0.44504 1.24698 1.80194 2.00000 1.80194 1.24698 0.44504 -0.44504 -1.24698 -1.80194 -2.00000 0.00000 0.00000 -2.00000 1.80194 1.24698 0.44504 -0.44504 -1.24698 -1.80194 -2.00000 -1.80194 -1.24698 -0.44504 0.44504 1.24698 1.80194 2.00000 1.80194 1.24698 0.44504 -0.44504 -1.24698 -1.80194 -2.00000 -1.80194 -1.24698 -0.44504 0.44504 1.24698 1.80194 2.00000 1.80194 1.24698 0.44504 -0.44504 -1.24698 -1.80194 2.00000 0.00000 0.00000 ... ... ..... ....... ......... TT......... ............. E6u 2.00000 1.71690 0.94774 -0.08973 -1.10179 -1.80194 -1.99195 -1.61803 -0.78605 0.26847 1.24698 1.87247 1.96786 1.50614 0.61803 -0.44504 -1.38213 -1.92793 -1.92793 -1.38213 -0.44504 0.61803 1.50614 1.96786 1.87247 1.24698 0.26847 -0.78605 -1.61803 -1.99195 -1.80194 -1.10179 -0.08973 0.94774 1.71690 2.00000 0.00000 0.00000 -2.00000 -1.71690 -0.94774 0.08973 1.10179 1.80194 1.99195 1.61803 0.78605 -0.26847 -1.24698 -1.87247 -1.96786 -1.50614 -0.61803 0.44504 1.38213 1.92793 1.92793 1.38213 0.44504 -0.61803 -1.50614 -1.96786 -1.87247 -1.24698 -0.26847 0.78605 1.61803 1.99195 1.80194 1.10179 0.08973 -0.94774 -1.71690 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E7u 2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803 0.61803 1.61803 2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803 0.61803 1.61803 2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803 0.61803 1.61803 2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 0.00000 0.00000 -2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803 0.61803 1.61803 2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803 0.61803 1.61803 2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803 0.61803 1.61803 2.00000 1.61803 0.61803 -0.61803 -1.61803 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E8u 2.00000 1.50614 0.26847 -1.10179 -1.92793 -1.80194 -0.78605 0.61803 1.71690 1.96786 1.24698 -0.08973 -1.38213 -1.99195 -1.61803 -0.44504 0.94774 1.87247 1.87247 0.94774 -0.44504 -1.61803 -1.99195 -1.38213 -0.08973 1.24698 1.96786 1.71690 0.61803 -0.78605 -1.80194 -1.92793 -1.10179 0.26847 1.50614 2.00000 0.00000 0.00000 -2.00000 -1.50614 -0.26847 1.10179 1.92793 1.80194 0.78605 -0.61803 -1.71690 -1.96786 -1.24698 0.08973 1.38213 1.99195 1.61803 0.44504 -0.94774 -1.87247 -1.87247 -0.94774 0.44504 1.61803 1.99195 1.38213 0.08973 -1.24698 -1.96786 -1.71690 -0.61803 0.78605 1.80194 1.92793 1.10179 -0.26847 -1.50614 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E9u 2.00000 1.38213 -0.08973 -1.50614 -1.99195 -1.24698 0.26847 1.61803 1.96786 1.10179 -0.44504 -1.71690 -1.92793 -0.94774 0.61803 1.80194 1.87247 0.78605 -0.78605 -1.87247 -1.80194 -0.61803 0.94774 1.92793 1.71690 0.44504 -1.10179 -1.96786 -1.61803 -0.26847 1.24698 1.99195 1.50614 0.08973 -1.38213 -2.00000 0.00000 0.00000 -2.00000 1.38213 -0.08973 -1.50614 -1.99195 -1.24698 0.26847 1.61803 1.96786 1.10179 -0.44504 -1.71690 -1.92793 -0.94774 0.61803 1.80194 1.87247 0.78605 -0.78605 -1.87247 -1.80194 -0.61803 0.94774 1.92793 1.71690 0.44504 -1.10179 -1.96786 -1.61803 -0.26847 1.24698 1.99195 1.50614 0.08973 -1.38213 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E10u 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 0.00000 0.00000 -2.00000 -1.24698 0.44504 1.80194 1.80194 0.44504 -1.24698 -2.00000 -1.24698 0.44504 1.80194 1.80194 0.44504 -1.24698 -2.00000 -1.24698 0.44504 1.80194 1.80194 0.44504 -1.24698 -2.00000 -1.24698 0.44504 1.80194 1.80194 0.44504 -1.24698 -2.00000 -1.24698 0.44504 1.80194 1.80194 0.44504 -1.24698 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E11u 2.00000 1.10179 -0.78605 -1.96786 -1.38213 0.44504 1.87247 1.61803 -0.08973 -1.71690 -1.80194 -0.26847 1.50614 1.92793 0.61803 -1.24698 -1.99195 -0.94774 0.94774 1.99195 1.24698 -0.61803 -1.92793 -1.50614 0.26847 1.80194 1.71690 0.08973 -1.61803 -1.87247 -0.44504 1.38213 1.96786 0.78605 -1.10179 -2.00000 0.00000 0.00000 -2.00000 1.10179 -0.78605 -1.96786 -1.38213 0.44504 1.87247 1.61803 -0.08973 -1.71690 -1.80194 -0.26847 1.50614 1.92793 0.61803 -1.24698 -1.99195 -0.94774 0.94774 1.99195 1.24698 -0.61803 -1.92793 -1.50614 0.26847 1.80194 1.71690 0.08973 -1.61803 -1.87247 -0.44504 1.38213 1.96786 0.78605 -1.10179 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E12u 2.00000 0.94774 -1.10179 -1.99195 -0.78605 1.24698 1.96786 0.61803 -1.38213 -1.92793 -0.44504 1.50614 1.87247 0.26847 -1.61803 -1.80194 -0.08973 1.71690 1.71690 -0.08973 -1.80194 -1.61803 0.26847 1.87247 1.50614 -0.44504 -1.92793 -1.38213 0.61803 1.96786 1.24698 -0.78605 -1.99195 -1.10179 0.94774 2.00000 0.00000 0.00000 -2.00000 -0.94774 1.10179 1.99195 0.78605 -1.24698 -1.96786 -0.61803 1.38213 1.92793 0.44504 -1.50614 -1.87247 -0.26847 1.61803 1.80194 0.08973 -1.71690 -1.71690 0.08973 1.80194 1.61803 -0.26847 -1.87247 -1.50614 0.44504 1.92793 1.38213 -0.61803 -1.96786 -1.24698 0.78605 1.99195 1.10179 -0.94774 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E13u 2.00000 0.78605 -1.38213 -1.87247 -0.08973 1.80194 1.50614 -0.61803 -1.99195 -0.94774 1.24698 1.92793 0.26847 -1.71690 -1.61803 0.44504 1.96786 1.10179 -1.10179 -1.96786 -0.44504 1.61803 1.71690 -0.26847 -1.92793 -1.24698 0.94774 1.99195 0.61803 -1.50614 -1.80194 0.08973 1.87247 1.38213 -0.78605 -2.00000 0.00000 0.00000 -2.00000 0.78605 -1.38213 -1.87247 -0.08973 1.80194 1.50614 -0.61803 -1.99195 -0.94774 1.24698 1.92793 0.26847 -1.71690 -1.61803 0.44504 1.96786 1.10179 -1.10179 -1.96786 -0.44504 1.61803 1.71690 -0.26847 -1.92793 -1.24698 0.94774 1.99195 0.61803 -1.50614 -1.80194 0.08973 1.87247 1.38213 -0.78605 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E14u 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.00000 0.00000 -2.00000 -0.61803 1.61803 1.61803 -0.61803 -2.00000 -0.61803 1.61803 1.61803 -0.61803 -2.00000 -0.61803 1.61803 1.61803 -0.61803 -2.00000 -0.61803 1.61803 1.61803 -0.61803 -2.00000 -0.61803 1.61803 1.61803 -0.61803 -2.00000 -0.61803 1.61803 1.61803 -0.61803 -2.00000 -0.61803 1.61803 1.61803 -0.61803 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E15u 2.00000 0.44504 -1.80194 -1.24698 1.24698 1.80194 -0.44504 -2.00000 -0.44504 1.80194 1.24698 -1.24698 -1.80194 0.44504 2.00000 0.44504 -1.80194 -1.24698 1.24698 1.80194 -0.44504 -2.00000 -0.44504 1.80194 1.24698 -1.24698 -1.80194 0.44504 2.00000 0.44504 -1.80194 -1.24698 1.24698 1.80194 -0.44504 -2.00000 0.00000 0.00000 -2.00000 0.44504 -1.80194 -1.24698 1.24698 1.80194 -0.44504 -2.00000 -0.44504 1.80194 1.24698 -1.24698 -1.80194 0.44504 2.00000 0.44504 -1.80194 -1.24698 1.24698 1.80194 -0.44504 -2.00000 -0.44504 1.80194 1.24698 -1.24698 -1.80194 0.44504 2.00000 0.44504 -1.80194 -1.24698 1.24698 1.80194 -0.44504 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E16u 2.00000 0.26847 -1.92793 -0.78605 1.71690 1.24698 -1.38213 -1.61803 0.94774 1.87247 -0.44504 -1.99195 -0.08973 1.96786 0.61803 -1.80194 -1.10179 1.50614 1.50614 -1.10179 -1.80194 0.61803 1.96786 -0.08973 -1.99195 -0.44504 1.87247 0.94774 -1.61803 -1.38213 1.24698 1.71690 -0.78605 -1.92793 0.26847 2.00000 0.00000 0.00000 -2.00000 -0.26847 1.92793 0.78605 -1.71690 -1.24698 1.38213 1.61803 -0.94774 -1.87247 0.44504 1.99195 0.08973 -1.96786 -0.61803 1.80194 1.10179 -1.50614 -1.50614 1.10179 1.80194 -0.61803 -1.96786 0.08973 1.99195 0.44504 -1.87247 -0.94774 1.61803 1.38213 -1.24698 -1.71690 0.78605 1.92793 -0.26847 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E17u 2.00000 0.08973 -1.99195 -0.26847 1.96786 0.44504 -1.92793 -0.61803 1.87247 0.78605 -1.80194 -0.94774 1.71690 1.10179 -1.61803 -1.24698 1.50614 1.38213 -1.38213 -1.50614 1.24698 1.61803 -1.10179 -1.71690 0.94774 1.80194 -0.78605 -1.87247 0.61803 1.92793 -0.44504 -1.96786 0.26847 1.99195 -0.08973 -2.00000 0.00000 0.00000 -2.00000 0.08973 -1.99195 -0.26847 1.96786 0.44504 -1.92793 -0.61803 1.87247 0.78605 -1.80194 -0.94774 1.71690 1.10179 -1.61803 -1.24698 1.50614 1.38213 -1.38213 -1.50614 1.24698 1.61803 -1.10179 -1.71690 0.94774 1.80194 -0.78605 -1.87247 0.61803 1.92793 -0.44504 -1.96786 0.26847 1.99195 -0.08973 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E18u 2.00000 -0.08973 -1.99195 0.26847 1.96786 -0.44504 -1.92793 0.61803 1.87247 -0.78605 -1.80194 0.94774 1.71690 -1.10179 -1.61803 1.24698 1.50614 -1.38213 -1.38213 1.50614 1.24698 -1.61803 -1.10179 1.71690 0.94774 -1.80194 -0.78605 1.87247 0.61803 -1.92793 -0.44504 1.96786 0.26847 -1.99195 -0.08973 2.00000 0.00000 0.00000 -2.00000 0.08973 1.99195 -0.26847 -1.96786 0.44504 1.92793 -0.61803 -1.87247 0.78605 1.80194 -0.94774 -1.71690 1.10179 1.61803 -1.24698 -1.50614 1.38213 1.38213 -1.50614 -1.24698 1.61803 1.10179 -1.71690 -0.94774 1.80194 0.78605 -1.87247 -0.61803 1.92793 0.44504 -1.96786 -0.26847 1.99195 0.08973 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. 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E20u 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 0.00000 0.00000 -2.00000 0.44504 1.80194 -1.24698 -1.24698 1.80194 0.44504 -2.00000 0.44504 1.80194 -1.24698 -1.24698 1.80194 0.44504 -2.00000 0.44504 1.80194 -1.24698 -1.24698 1.80194 0.44504 -2.00000 0.44504 1.80194 -1.24698 -1.24698 1.80194 0.44504 -2.00000 0.44504 1.80194 -1.24698 -1.24698 1.80194 0.44504 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E21u 2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.61803 1.61803 -1.61803 -0.61803 2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.61803 1.61803 -1.61803 -0.61803 2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.61803 1.61803 -1.61803 -0.61803 2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.00000 0.00000 -2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.61803 1.61803 -1.61803 -0.61803 2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.61803 1.61803 -1.61803 -0.61803 2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.61803 1.61803 -1.61803 -0.61803 2.00000 -0.61803 -1.61803 1.61803 0.61803 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E22u 2.00000 -0.78605 -1.38213 1.87247 -0.08973 -1.80194 1.50614 0.61803 -1.99195 0.94774 1.24698 -1.92793 0.26847 1.71690 -1.61803 -0.44504 1.96786 -1.10179 -1.10179 1.96786 -0.44504 -1.61803 1.71690 0.26847 -1.92793 1.24698 0.94774 -1.99195 0.61803 1.50614 -1.80194 -0.08973 1.87247 -1.38213 -0.78605 2.00000 0.00000 0.00000 -2.00000 0.78605 1.38213 -1.87247 0.08973 1.80194 -1.50614 -0.61803 1.99195 -0.94774 -1.24698 1.92793 -0.26847 -1.71690 1.61803 0.44504 -1.96786 1.10179 1.10179 -1.96786 0.44504 1.61803 -1.71690 -0.26847 1.92793 -1.24698 -0.94774 1.99195 -0.61803 -1.50614 1.80194 0.08973 -1.87247 1.38213 0.78605 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E23u 2.00000 -0.94774 -1.10179 1.99195 -0.78605 -1.24698 1.96786 -0.61803 -1.38213 1.92793 -0.44504 -1.50614 1.87247 -0.26847 -1.61803 1.80194 -0.08973 -1.71690 1.71690 0.08973 -1.80194 1.61803 0.26847 -1.87247 1.50614 0.44504 -1.92793 1.38213 0.61803 -1.96786 1.24698 0.78605 -1.99195 1.10179 0.94774 -2.00000 0.00000 0.00000 -2.00000 -0.94774 -1.10179 1.99195 -0.78605 -1.24698 1.96786 -0.61803 -1.38213 1.92793 -0.44504 -1.50614 1.87247 -0.26847 -1.61803 1.80194 -0.08973 -1.71690 1.71690 0.08973 -1.80194 1.61803 0.26847 -1.87247 1.50614 0.44504 -1.92793 1.38213 0.61803 -1.96786 1.24698 0.78605 -1.99195 1.10179 0.94774 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E24u 2.00000 -1.10179 -0.78605 1.96786 -1.38213 -0.44504 1.87247 -1.61803 -0.08973 1.71690 -1.80194 0.26847 1.50614 -1.92793 0.61803 1.24698 -1.99195 0.94774 0.94774 -1.99195 1.24698 0.61803 -1.92793 1.50614 0.26847 -1.80194 1.71690 -0.08973 -1.61803 1.87247 -0.44504 -1.38213 1.96786 -0.78605 -1.10179 2.00000 0.00000 0.00000 -2.00000 1.10179 0.78605 -1.96786 1.38213 0.44504 -1.87247 1.61803 0.08973 -1.71690 1.80194 -0.26847 -1.50614 1.92793 -0.61803 -1.24698 1.99195 -0.94774 -0.94774 1.99195 -1.24698 -0.61803 1.92793 -1.50614 -0.26847 1.80194 -1.71690 0.08973 1.61803 -1.87247 0.44504 1.38213 -1.96786 0.78605 1.10179 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E25u 2.00000 -1.24698 -0.44504 1.80194 -1.80194 0.44504 1.24698 -2.00000 1.24698 0.44504 -1.80194 1.80194 -0.44504 -1.24698 2.00000 -1.24698 -0.44504 1.80194 -1.80194 0.44504 1.24698 -2.00000 1.24698 0.44504 -1.80194 1.80194 -0.44504 -1.24698 2.00000 -1.24698 -0.44504 1.80194 -1.80194 0.44504 1.24698 -2.00000 0.00000 0.00000 -2.00000 -1.24698 -0.44504 1.80194 -1.80194 0.44504 1.24698 -2.00000 1.24698 0.44504 -1.80194 1.80194 -0.44504 -1.24698 2.00000 -1.24698 -0.44504 1.80194 -1.80194 0.44504 1.24698 -2.00000 1.24698 0.44504 -1.80194 1.80194 -0.44504 -1.24698 2.00000 -1.24698 -0.44504 1.80194 -1.80194 0.44504 1.24698 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E26u 2.00000 -1.38213 -0.08973 1.50614 -1.99195 1.24698 0.26847 -1.61803 1.96786 -1.10179 -0.44504 1.71690 -1.92793 0.94774 0.61803 -1.80194 1.87247 -0.78605 -0.78605 1.87247 -1.80194 0.61803 0.94774 -1.92793 1.71690 -0.44504 -1.10179 1.96786 -1.61803 0.26847 1.24698 -1.99195 1.50614 -0.08973 -1.38213 2.00000 0.00000 0.00000 -2.00000 1.38213 0.08973 -1.50614 1.99195 -1.24698 -0.26847 1.61803 -1.96786 1.10179 0.44504 -1.71690 1.92793 -0.94774 -0.61803 1.80194 -1.87247 0.78605 0.78605 -1.87247 1.80194 -0.61803 -0.94774 1.92793 -1.71690 0.44504 1.10179 -1.96786 1.61803 -0.26847 -1.24698 1.99195 -1.50614 0.08973 1.38213 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E27u 2.00000 -1.50614 0.26847 1.10179 -1.92793 1.80194 -0.78605 -0.61803 1.71690 -1.96786 1.24698 0.08973 -1.38213 1.99195 -1.61803 0.44504 0.94774 -1.87247 1.87247 -0.94774 -0.44504 1.61803 -1.99195 1.38213 -0.08973 -1.24698 1.96786 -1.71690 0.61803 0.78605 -1.80194 1.92793 -1.10179 -0.26847 1.50614 -2.00000 0.00000 0.00000 -2.00000 -1.50614 0.26847 1.10179 -1.92793 1.80194 -0.78605 -0.61803 1.71690 -1.96786 1.24698 0.08973 -1.38213 1.99195 -1.61803 0.44504 0.94774 -1.87247 1.87247 -0.94774 -0.44504 1.61803 -1.99195 1.38213 -0.08973 -1.24698 1.96786 -1.71690 0.61803 0.78605 -1.80194 1.92793 -1.10179 -0.26847 1.50614 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E28u 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 0.00000 0.00000 -2.00000 1.61803 -0.61803 -0.61803 1.61803 -2.00000 1.61803 -0.61803 -0.61803 1.61803 -2.00000 1.61803 -0.61803 -0.61803 1.61803 -2.00000 1.61803 -0.61803 -0.61803 1.61803 -2.00000 1.61803 -0.61803 -0.61803 1.61803 -2.00000 1.61803 -0.61803 -0.61803 1.61803 -2.00000 1.61803 -0.61803 -0.61803 1.61803 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E29u 2.00000 -1.71690 0.94774 0.08973 -1.10179 1.80194 -1.99195 1.61803 -0.78605 -0.26847 1.24698 -1.87247 1.96786 -1.50614 0.61803 0.44504 -1.38213 1.92793 -1.92793 1.38213 -0.44504 -0.61803 1.50614 -1.96786 1.87247 -1.24698 0.26847 0.78605 -1.61803 1.99195 -1.80194 1.10179 -0.08973 -0.94774 1.71690 -2.00000 0.00000 0.00000 -2.00000 -1.71690 0.94774 0.08973 -1.10179 1.80194 -1.99195 1.61803 -0.78605 -0.26847 1.24698 -1.87247 1.96786 -1.50614 0.61803 0.44504 -1.38213 1.92793 -1.92793 1.38213 -0.44504 -0.61803 1.50614 -1.96786 1.87247 -1.24698 0.26847 0.78605 -1.61803 1.99195 -1.80194 1.10179 -0.08973 -0.94774 1.71690 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E30u 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 0.00000 0.00000 -2.00000 1.80194 -1.24698 0.44504 0.44504 -1.24698 1.80194 -2.00000 1.80194 -1.24698 0.44504 0.44504 -1.24698 1.80194 -2.00000 1.80194 -1.24698 0.44504 0.44504 -1.24698 1.80194 -2.00000 1.80194 -1.24698 0.44504 0.44504 -1.24698 1.80194 -2.00000 1.80194 -1.24698 0.44504 0.44504 -1.24698 1.80194 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E31u 2.00000 -1.87247 1.50614 -0.94774 0.26847 0.44504 -1.10179 1.61803 -1.92793 1.99195 -1.80194 1.38213 -0.78605 0.08973 0.61803 -1.24698 1.71690 -1.96786 1.96786 -1.71690 1.24698 -0.61803 -0.08973 0.78605 -1.38213 1.80194 -1.99195 1.92793 -1.61803 1.10179 -0.44504 -0.26847 0.94774 -1.50614 1.87247 -2.00000 0.00000 0.00000 -2.00000 -1.87247 1.50614 -0.94774 0.26847 0.44504 -1.10179 1.61803 -1.92793 1.99195 -1.80194 1.38213 -0.78605 0.08973 0.61803 -1.24698 1.71690 -1.96786 1.96786 -1.71690 1.24698 -0.61803 -0.08973 0.78605 -1.38213 1.80194 -1.99195 1.92793 -1.61803 1.10179 -0.44504 -0.26847 0.94774 -1.50614 1.87247 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E32u 2.00000 -1.92793 1.71690 -1.38213 0.94774 -0.44504 -0.08973 0.61803 -1.10179 1.50614 -1.80194 1.96786 -1.99195 1.87247 -1.61803 1.24698 -0.78605 0.26847 0.26847 -0.78605 1.24698 -1.61803 1.87247 -1.99195 1.96786 -1.80194 1.50614 -1.10179 0.61803 -0.08973 -0.44504 0.94774 -1.38213 1.71690 -1.92793 2.00000 0.00000 0.00000 -2.00000 1.92793 -1.71690 1.38213 -0.94774 0.44504 0.08973 -0.61803 1.10179 -1.50614 1.80194 -1.96786 1.99195 -1.87247 1.61803 -1.24698 0.78605 -0.26847 -0.26847 0.78605 -1.24698 1.61803 -1.87247 1.99195 -1.96786 1.80194 -1.50614 1.10179 -0.61803 0.08973 0.44504 -0.94774 1.38213 -1.71690 1.92793 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E33u 2.00000 -1.96786 1.87247 -1.71690 1.50614 -1.24698 0.94774 -0.61803 0.26847 0.08973 -0.44504 0.78605 -1.10179 1.38213 -1.61803 1.80194 -1.92793 1.99195 -1.99195 1.92793 -1.80194 1.61803 -1.38213 1.10179 -0.78605 0.44504 -0.08973 -0.26847 0.61803 -0.94774 1.24698 -1.50614 1.71690 -1.87247 1.96786 -2.00000 0.00000 0.00000 -2.00000 -1.96786 1.87247 -1.71690 1.50614 -1.24698 0.94774 -0.61803 0.26847 0.08973 -0.44504 0.78605 -1.10179 1.38213 -1.61803 1.80194 -1.92793 1.99195 -1.99195 1.92793 -1.80194 1.61803 -1.38213 1.10179 -0.78605 0.44504 -0.08973 -0.26847 0.61803 -0.94774 1.24698 -1.50614 1.71690 -1.87247 1.96786 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E34u 2.00000 -1.99195 1.96786 -1.92793 1.87247 -1.80194 1.71690 -1.61803 1.50614 -1.38213 1.24698 -1.10179 0.94774 -0.78605 0.61803 -0.44504 0.26847 -0.08973 -0.08973 0.26847 -0.44504 0.61803 -0.78605 0.94774 -1.10179 1.24698 -1.38213 1.50614 -1.61803 1.71690 -1.80194 1.87247 -1.92793 1.96786 -1.99195 2.00000 0.00000 0.00000 -2.00000 1.99195 -1.96786 1.92793 -1.87247 1.80194 -1.71690 1.61803 -1.50614 1.38213 -1.24698 1.10179 -0.94774 0.78605 -0.61803 0.44504 -0.26847 0.08973 0.08973 -0.26847 0.44504 -0.61803 0.78605 -0.94774 1.10179 -1.24698 1.38213 -1.50614 1.61803 -1.71690 1.80194 -1.87247 1.92793 -1.96786 1.99195 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.991948587990 = 2*cos(2*π/70) = 2*cos(π/35) 1.967859177197 = 2*cos(4*π/70) = 2*cos(2*π/35) 1.927925721392 = 2*cos(6*π/70) = 2*cos(3*π/35) 1.872469741279 = 2*cos(8*π/70) = 2*cos(4*π/35) 1.801937735805 = 2*cos(10*π/70) = 2*cos(π/7) 1.716897587204 = 2*cos(12*π/70) = 2*cos(6*π/35) 1.618033988750 = 2*cos(14*π/70) = 2*cos(π/5) = (√5+1)/2 1.506142932007 = 2*cos(16*π/70) = 2*cos(8*π/35) 1.382125297974 = 2*cos(18*π/70) = 2*cos(9*π/35) 1.246979603717 = 2*cos(20*π/70) = 2*cos(2*π/7) 1.101793962904 = 2*cos(22*π/70) = 2*cos(11*π/35) 0.947737324946 = 2*cos(24*π/70) = 2*cos(12*π/35) 0.786050063308 = 2*cos(26*π/70) = 2*cos(13*π/35) 0.618033988750 = 2*cos(28*π/70) = 2*cos(2*π/5) = (√5−1)/2 0.445041867913 = 2*cos(30*π/70) = 2*cos(3*π/7) 0.268466531635 = 2*cos(32*π/70) = 2*cos(16*π/35) 0.089729660701 = 2*cos(34*π/70) = 2*cos(17*π/35) Symmetry of Rotations and Cartesian products A1g d+g+i+k+m z², z⁴, z⁶ A2g R R_z E1g R+d+g+i+k+m {R_x, R_y}, {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 D_70h point group is 280, and the order of the principal axis (C₇₀) is 70. The group has 76 irreducible representations. β The D_70h point group is generated by three symmetry elements that are canonically chosen C₇₀, C₂^′ and i. Other choices include σ_h instead of i, or any of C₂^″, σ_v or σ_d instead of C₂^′. Also, some ternary combinations of C₂^′, C₂^″, σ_v and σ_d act as generators. Lastly, the S₇₀ can be chosen, together with σ_h or C₂ and any one of C₂^′, C₂^″, σ_v or σ_d. 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 σ_v has the xz plane as a member, while the yz plane is a member of the σ_d set. ε The lowest nonvanishing multipole moment in D_70h 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.

This Character Table for the D_70h point group was created by Gernot Katzer.

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

	D_68h
	D_69h
C₇₀ C_70v C_70h D₇₀	D_70h	D_70d S₇₀
	D_71h
	D_72h

Character table for the D70h point group

Character table for the D_70h point group