Character Table for Point Group D93d

Character table for the D_93d point group

D93d E 2 C93 2 C93^2 2 C31 2 C93^4 2 C93^5 2 C31^2 2 C93^7 2 C93^8 2 C31^3 2 C93^10 2 C93^11 2 C31^4 2 C93^13 2 C93^14 2 C31^5 2 C93^16 2 C93^17 2 C31^6 2 C93^19 2 C93^20 2 C31^7 2 C93^22 2 C93^23 2 C31^8 2 C93^25 2 C93^26 2 C31^9 2 C93^28 2 C93^29 2 C31^10 2 C3 2 C93^32 2 C31^11 2 C93^34 2 C93^35 2 C31^12 2 C93^37 2 C93^38 2 C31^13 2 C93^40 2 C93^41 2 C31^14 2 C93^43 2 C93^44 2 C31^15 2 C93^46 93 C2' i 2 S186 2 S62 2 S186^5 2 S186^7 2 S62^3 2 S186^11 2 S186^13 2 S62^5 2 S186^17 2 S186^19 2 S62^7 2 S186^23 2 S186^25 2 S62^9 2 S186^29 2 S6 2 S62^11 2 S186^35 2 S186^37 2 S62^13 2 S186^41 2 S186^43 2 S62^15 2 S186^47 2 S186^49 2 S62^17 2 S186^53 2 S186^55 2 S62^19 2 S186^59 2 S186^61 2 S62^21 2 S186^65 2 S186^67 2 S62^23 2 S186^71 2 S186^73 2 S62^25 2 S186^77 2 S186^79 2 S62^27 2 S186^83 2 S186^85 2 S62^29 2 S186^89 2 S186^91 93 sd <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> A1g 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 ... ... ....T ....... ........T ........... ............T A2g 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 ..T ... ..... ....... ......... ........... ............. E1g 2.00000 1.99544 1.98177 1.95906 1.92741 1.88697 1.83792 1.78048 1.71491 1.64153 1.56065 1.47265 1.37793 1.27693 1.17010 1.05793 0.94093 0.81964 0.69461 0.56641 0.43563 0.30286 0.16870 0.03378 -0.10130 -0.23591 -0.36945 -0.50131 -0.63087 -0.75756 -0.88079 -1.00000 -1.11465 -1.22421 -1.32819 -1.42611 -1.51752 -1.60200 -1.67918 -1.74869 -1.81023 -1.86351 -1.90828 -1.94434 -1.97154 -1.98974 -1.99886 0.00000 2.00000 -1.99886 -1.98974 -1.97154 -1.94434 -1.90828 -1.86351 -1.81023 -1.74869 -1.67918 -1.60200 -1.51752 -1.42611 -1.32819 -1.22421 -1.11465 -1.00000 -0.88079 -0.75756 -0.63087 -0.50131 -0.36945 -0.23591 -0.10130 0.03378 0.16870 0.30286 0.43563 0.56641 0.69461 0.81964 0.94093 1.05793 1.17010 1.27693 1.37793 1.47265 1.56065 1.64153 1.71491 1.78048 1.83792 1.88697 1.92741 1.95906 1.98177 1.99544 0.00000 TT. ... ..TT. ....... ......TT. ........... ..........TT. E2g 2.00000 1.98177 1.92741 1.83792 1.71491 1.56065 1.37793 1.17010 0.94093 0.69461 0.43563 0.16870 -0.10130 -0.36945 -0.63087 -0.88079 -1.11465 -1.32819 -1.51752 -1.67918 -1.81023 -1.90828 -1.97154 -1.99886 -1.98974 -1.94434 -1.86351 -1.74869 -1.60200 -1.42611 -1.22421 -1.00000 -0.75756 -0.50131 -0.23591 0.03378 0.30286 0.56641 0.81964 1.05793 1.27693 1.47265 1.64153 1.78048 1.88697 1.95906 1.99544 0.00000 2.00000 1.99544 1.95906 1.88697 1.78048 1.64153 1.47265 1.27693 1.05793 0.81964 0.56641 0.30286 0.03378 -0.23591 -0.50131 -0.75756 -1.00000 -1.22421 -1.42611 -1.60200 -1.74869 -1.86351 -1.94434 -1.98974 -1.99886 -1.97154 -1.90828 -1.81023 -1.67918 -1.51752 -1.32819 -1.11465 -0.88079 -0.63087 -0.36945 -0.10130 0.16870 0.43563 0.69461 0.94093 1.17010 1.37793 1.56065 1.71491 1.83792 1.92741 1.98177 0.00000 ... ... TT... ....... ....TT... ........... ........TT... E3g 2.00000 1.95906 1.83792 1.64153 1.37793 1.05793 0.69461 0.30286 -0.10130 -0.50131 -0.88079 -1.22421 -1.51752 -1.74869 -1.90828 -1.98974 -1.98974 -1.90828 -1.74869 -1.51752 -1.22421 -0.88079 -0.50131 -0.10130 0.30286 0.69461 1.05793 1.37793 1.64153 1.83792 1.95906 2.00000 1.95906 1.83792 1.64153 1.37793 1.05793 0.69461 0.30286 -0.10130 -0.50131 -0.88079 -1.22421 -1.51752 -1.74869 -1.90828 -1.98974 0.00000 2.00000 -1.98974 -1.90828 -1.74869 -1.51752 -1.22421 -0.88079 -0.50131 -0.10130 0.30286 0.69461 1.05793 1.37793 1.64153 1.83792 1.95906 2.00000 1.95906 1.83792 1.64153 1.37793 1.05793 0.69461 0.30286 -0.10130 -0.50131 -0.88079 -1.22421 -1.51752 -1.74869 -1.90828 -1.98974 -1.98974 -1.90828 -1.74869 -1.51752 -1.22421 -0.88079 -0.50131 -0.10130 0.30286 0.69461 1.05793 1.37793 1.64153 1.83792 1.95906 0.00000 ... ... ..... ....... ..TT..... ........... ......TT..... E4g 2.00000 1.92741 1.71491 1.37793 0.94093 0.43563 -0.10130 -0.63087 -1.11465 -1.51752 -1.81023 -1.97154 -1.98974 -1.86351 -1.60200 -1.22421 -0.75756 -0.23591 0.30286 0.81964 1.27693 1.64153 1.88697 1.99544 1.95906 1.78048 1.47265 1.05793 0.56641 0.03378 -0.50131 -1.00000 -1.42611 -1.74869 -1.94434 -1.99886 -1.90828 -1.67918 -1.32819 -0.88079 -0.36945 0.16870 0.69461 1.17010 1.56065 1.83792 1.98177 0.00000 2.00000 1.98177 1.83792 1.56065 1.17010 0.69461 0.16870 -0.36945 -0.88079 -1.32819 -1.67918 -1.90828 -1.99886 -1.94434 -1.74869 -1.42611 -1.00000 -0.50131 0.03378 0.56641 1.05793 1.47265 1.78048 1.95906 1.99544 1.88697 1.64153 1.27693 0.81964 0.30286 -0.23591 -0.75756 -1.22421 -1.60200 -1.86351 -1.98974 -1.97154 -1.81023 -1.51752 -1.11465 -0.63087 -0.10130 0.43563 0.94093 1.37793 1.71491 1.92741 0.00000 ... ... ..... ....... TT....... ........... ....TT....... E5g 2.00000 1.88697 1.56065 1.05793 0.43563 -0.23591 -0.88079 -1.42611 -1.81023 -1.98974 -1.94434 -1.67918 -1.22421 -0.63087 0.03378 0.69461 1.27693 1.71491 1.95906 1.98177 1.78048 1.37793 0.81964 0.16870 -0.50131 -1.11465 -1.60200 -1.90828 -1.99886 -1.86351 -1.51752 -1.00000 -0.36945 0.30286 0.94093 1.47265 1.83792 1.99544 1.92741 1.64153 1.17010 0.56641 -0.10130 -0.75756 -1.32819 -1.74869 -1.97154 0.00000 2.00000 -1.97154 -1.74869 -1.32819 -0.75756 -0.10130 0.56641 1.17010 1.64153 1.92741 1.99544 1.83792 1.47265 0.94093 0.30286 -0.36945 -1.00000 -1.51752 -1.86351 -1.99886 -1.90828 -1.60200 -1.11465 -0.50131 0.16870 0.81964 1.37793 1.78048 1.98177 1.95906 1.71491 1.27693 0.69461 0.03378 -0.63087 -1.22421 -1.67918 -1.94434 -1.98974 -1.81023 -1.42611 -0.88079 -0.23591 0.43563 1.05793 1.56065 1.88697 0.00000 ... ... ..... ....... ......... ........... ..TT......... E6g 2.00000 1.83792 1.37793 0.69461 -0.10130 -0.88079 -1.51752 -1.90828 -1.98974 -1.74869 -1.22421 -0.50131 0.30286 1.05793 1.64153 1.95906 1.95906 1.64153 1.05793 0.30286 -0.50131 -1.22421 -1.74869 -1.98974 -1.90828 -1.51752 -0.88079 -0.10130 0.69461 1.37793 1.83792 2.00000 1.83792 1.37793 0.69461 -0.10130 -0.88079 -1.51752 -1.90828 -1.98974 -1.74869 -1.22421 -0.50131 0.30286 1.05793 1.64153 1.95906 0.00000 2.00000 1.95906 1.64153 1.05793 0.30286 -0.50131 -1.22421 -1.74869 -1.98974 -1.90828 -1.51752 -0.88079 -0.10130 0.69461 1.37793 1.83792 2.00000 1.83792 1.37793 0.69461 -0.10130 -0.88079 -1.51752 -1.90828 -1.98974 -1.74869 -1.22421 -0.50131 0.30286 1.05793 1.64153 1.95906 1.95906 1.64153 1.05793 0.30286 -0.50131 -1.22421 -1.74869 -1.98974 -1.90828 -1.51752 -0.88079 -0.10130 0.69461 1.37793 1.83792 0.00000 ... ... ..... ....... ......... ........... TT........... E7g 2.00000 1.78048 1.17010 0.30286 -0.63087 -1.42611 -1.90828 -1.97154 -1.60200 -0.88079 0.03378 0.94093 1.64153 1.98177 1.88697 1.37793 0.56641 -0.36945 -1.22421 -1.81023 -1.99886 -1.74869 -1.11465 -0.23591 0.69461 1.47265 1.92741 1.95906 1.56065 0.81964 -0.10130 -1.00000 -1.67918 -1.98974 -1.86351 -1.32819 -0.50131 0.43563 1.27693 1.83792 1.99544 1.71491 1.05793 0.16870 -0.75756 -1.51752 -1.94434 0.00000 2.00000 -1.94434 -1.51752 -0.75756 0.16870 1.05793 1.71491 1.99544 1.83792 1.27693 0.43563 -0.50131 -1.32819 -1.86351 -1.98974 -1.67918 -1.00000 -0.10130 0.81964 1.56065 1.95906 1.92741 1.47265 0.69461 -0.23591 -1.11465 -1.74869 -1.99886 -1.81023 -1.22421 -0.36945 0.56641 1.37793 1.88697 1.98177 1.64153 0.94093 0.03378 -0.88079 -1.60200 -1.97154 -1.90828 -1.42611 -0.63087 0.30286 1.17010 1.78048 0.00000 ... ... ..... ....... ......... ........... ............. E8g 2.00000 1.71491 0.94093 -0.10130 -1.11465 -1.81023 -1.98974 -1.60200 -0.75756 0.30286 1.27693 1.88697 1.95906 1.47265 0.56641 -0.50131 -1.42611 -1.94434 -1.90828 -1.32819 -0.36945 0.69461 1.56065 1.98177 1.83792 1.17010 0.16870 -0.88079 -1.67918 -1.99886 -1.74869 -1.00000 0.03378 1.05793 1.78048 1.99544 1.64153 0.81964 -0.23591 -1.22421 -1.86351 -1.97154 -1.51752 -0.63087 0.43563 1.37793 1.92741 0.00000 2.00000 1.92741 1.37793 0.43563 -0.63087 -1.51752 -1.97154 -1.86351 -1.22421 -0.23591 0.81964 1.64153 1.99544 1.78048 1.05793 0.03378 -1.00000 -1.74869 -1.99886 -1.67918 -0.88079 0.16870 1.17010 1.83792 1.98177 1.56065 0.69461 -0.36945 -1.32819 -1.90828 -1.94434 -1.42611 -0.50131 0.56641 1.47265 1.95906 1.88697 1.27693 0.30286 -0.75756 -1.60200 -1.98974 -1.81023 -1.11465 -0.10130 0.94093 1.71491 0.00000 ... ... ..... ....... ......... ........... ............. E9g 2.00000 1.64153 0.69461 -0.50131 -1.51752 -1.98974 -1.74869 -0.88079 0.30286 1.37793 1.95906 1.83792 1.05793 -0.10130 -1.22421 -1.90828 -1.90828 -1.22421 -0.10130 1.05793 1.83792 1.95906 1.37793 0.30286 -0.88079 -1.74869 -1.98974 -1.51752 -0.50131 0.69461 1.64153 2.00000 1.64153 0.69461 -0.50131 -1.51752 -1.98974 -1.74869 -0.88079 0.30286 1.37793 1.95906 1.83792 1.05793 -0.10130 -1.22421 -1.90828 0.00000 2.00000 -1.90828 -1.22421 -0.10130 1.05793 1.83792 1.95906 1.37793 0.30286 -0.88079 -1.74869 -1.98974 -1.51752 -0.50131 0.69461 1.64153 2.00000 1.64153 0.69461 -0.50131 -1.51752 -1.98974 -1.74869 -0.88079 0.30286 1.37793 1.95906 1.83792 1.05793 -0.10130 -1.22421 -1.90828 -1.90828 -1.22421 -0.10130 1.05793 1.83792 1.95906 1.37793 0.30286 -0.88079 -1.74869 -1.98974 -1.51752 -0.50131 0.69461 1.64153 0.00000 ... ... ..... ....... ......... ........... ............. E10g 2.00000 1.56065 0.43563 -0.88079 -1.81023 -1.94434 -1.22421 0.03378 1.27693 1.95906 1.78048 0.81964 -0.50131 -1.60200 -1.99886 -1.51752 -0.36945 0.94093 1.83792 1.92741 1.17010 -0.10130 -1.32819 -1.97154 -1.74869 -0.75756 0.56641 1.64153 1.99544 1.47265 0.30286 -1.00000 -1.86351 -1.90828 -1.11465 0.16870 1.37793 1.98177 1.71491 0.69461 -0.63087 -1.67918 -1.98974 -1.42611 -0.23591 1.05793 1.88697 0.00000 2.00000 1.88697 1.05793 -0.23591 -1.42611 -1.98974 -1.67918 -0.63087 0.69461 1.71491 1.98177 1.37793 0.16870 -1.11465 -1.90828 -1.86351 -1.00000 0.30286 1.47265 1.99544 1.64153 0.56641 -0.75756 -1.74869 -1.97154 -1.32819 -0.10130 1.17010 1.92741 1.83792 0.94093 -0.36945 -1.51752 -1.99886 -1.60200 -0.50131 0.81964 1.78048 1.95906 1.27693 0.03378 -1.22421 -1.94434 -1.81023 -0.88079 0.43563 1.56065 0.00000 ... ... ..... ....... ......... ........... ............. E11g 2.00000 1.47265 0.16870 -1.22421 -1.97154 -1.67918 -0.50131 0.94093 1.88697 1.83792 0.81964 -0.63087 -1.74869 -1.94434 -1.11465 0.30286 1.56065 1.99544 1.37793 0.03378 -1.32819 -1.98974 -1.60200 -0.36945 1.05793 1.92741 1.78048 0.69461 -0.75756 -1.81023 -1.90828 -1.00000 0.43563 1.64153 1.98177 1.27693 -0.10130 -1.42611 -1.99886 -1.51752 -0.23591 1.17010 1.95906 1.71491 0.56641 -0.88079 -1.86351 0.00000 2.00000 -1.86351 -0.88079 0.56641 1.71491 1.95906 1.17010 -0.23591 -1.51752 -1.99886 -1.42611 -0.10130 1.27693 1.98177 1.64153 0.43563 -1.00000 -1.90828 -1.81023 -0.75756 0.69461 1.78048 1.92741 1.05793 -0.36945 -1.60200 -1.98974 -1.32819 0.03378 1.37793 1.99544 1.56065 0.30286 -1.11465 -1.94434 -1.74869 -0.63087 0.81964 1.83792 1.88697 0.94093 -0.50131 -1.67918 -1.97154 -1.22421 0.16870 1.47265 0.00000 ... ... ..... ....... ......... ........... ............. E12g 2.00000 1.37793 -0.10130 -1.51752 -1.98974 -1.22421 0.30286 1.64153 1.95906 1.05793 -0.50131 -1.74869 -1.90828 -0.88079 0.69461 1.83792 1.83792 0.69461 -0.88079 -1.90828 -1.74869 -0.50131 1.05793 1.95906 1.64153 0.30286 -1.22421 -1.98974 -1.51752 -0.10130 1.37793 2.00000 1.37793 -0.10130 -1.51752 -1.98974 -1.22421 0.30286 1.64153 1.95906 1.05793 -0.50131 -1.74869 -1.90828 -0.88079 0.69461 1.83792 0.00000 2.00000 1.83792 0.69461 -0.88079 -1.90828 -1.74869 -0.50131 1.05793 1.95906 1.64153 0.30286 -1.22421 -1.98974 -1.51752 -0.10130 1.37793 2.00000 1.37793 -0.10130 -1.51752 -1.98974 -1.22421 0.30286 1.64153 1.95906 1.05793 -0.50131 -1.74869 -1.90828 -0.88079 0.69461 1.83792 1.83792 0.69461 -0.88079 -1.90828 -1.74869 -0.50131 1.05793 1.95906 1.64153 0.30286 -1.22421 -1.98974 -1.51752 -0.10130 1.37793 0.00000 ... ... ..... ....... ......... ........... ............. E13g 2.00000 1.27693 -0.36945 -1.74869 -1.86351 -0.63087 1.05793 1.98177 1.47265 -0.10130 -1.60200 -1.94434 -0.88079 0.81964 1.92741 1.64153 0.16870 -1.42611 -1.98974 -1.11465 0.56641 1.83792 1.78048 0.43563 -1.22421 -1.99886 -1.32819 0.30286 1.71491 1.88697 0.69461 -1.00000 -1.97154 -1.51752 0.03378 1.56065 1.95906 0.94093 -0.75756 -1.90828 -1.67918 -0.23591 1.37793 1.99544 1.17010 -0.50131 -1.81023 0.00000 2.00000 -1.81023 -0.50131 1.17010 1.99544 1.37793 -0.23591 -1.67918 -1.90828 -0.75756 0.94093 1.95906 1.56065 0.03378 -1.51752 -1.97154 -1.00000 0.69461 1.88697 1.71491 0.30286 -1.32819 -1.99886 -1.22421 0.43563 1.78048 1.83792 0.56641 -1.11465 -1.98974 -1.42611 0.16870 1.64153 1.92741 0.81964 -0.88079 -1.94434 -1.60200 -0.10130 1.47265 1.98177 1.05793 -0.63087 -1.86351 -1.74869 -0.36945 1.27693 0.00000 ... ... ..... ....... ......... ........... ............. E14g 2.00000 1.17010 -0.63087 -1.90828 -1.60200 0.03378 1.64153 1.88697 0.56641 -1.22421 -1.99886 -1.11465 0.69461 1.92741 1.56065 -0.10130 -1.67918 -1.86351 -0.50131 1.27693 1.99544 1.05793 -0.75756 -1.94434 -1.51752 0.16870 1.71491 1.83792 0.43563 -1.32819 -1.98974 -1.00000 0.81964 1.95906 1.47265 -0.23591 -1.74869 -1.81023 -0.36945 1.37793 1.98177 0.94093 -0.88079 -1.97154 -1.42611 0.30286 1.78048 0.00000 2.00000 1.78048 0.30286 -1.42611 -1.97154 -0.88079 0.94093 1.98177 1.37793 -0.36945 -1.81023 -1.74869 -0.23591 1.47265 1.95906 0.81964 -1.00000 -1.98974 -1.32819 0.43563 1.83792 1.71491 0.16870 -1.51752 -1.94434 -0.75756 1.05793 1.99544 1.27693 -0.50131 -1.86351 -1.67918 -0.10130 1.56065 1.92741 0.69461 -1.11465 -1.99886 -1.22421 0.56641 1.88697 1.64153 0.03378 -1.60200 -1.90828 -0.63087 1.17010 0.00000 ... ... ..... ....... ......... ........... ............. E15g 2.00000 1.05793 -0.88079 -1.98974 -1.22421 0.69461 1.95906 1.37793 -0.50131 -1.90828 -1.51752 0.30286 1.83792 1.64153 -0.10130 -1.74869 -1.74869 -0.10130 1.64153 1.83792 0.30286 -1.51752 -1.90828 -0.50131 1.37793 1.95906 0.69461 -1.22421 -1.98974 -0.88079 1.05793 2.00000 1.05793 -0.88079 -1.98974 -1.22421 0.69461 1.95906 1.37793 -0.50131 -1.90828 -1.51752 0.30286 1.83792 1.64153 -0.10130 -1.74869 0.00000 2.00000 -1.74869 -0.10130 1.64153 1.83792 0.30286 -1.51752 -1.90828 -0.50131 1.37793 1.95906 0.69461 -1.22421 -1.98974 -0.88079 1.05793 2.00000 1.05793 -0.88079 -1.98974 -1.22421 0.69461 1.95906 1.37793 -0.50131 -1.90828 -1.51752 0.30286 1.83792 1.64153 -0.10130 -1.74869 -1.74869 -0.10130 1.64153 1.83792 0.30286 -1.51752 -1.90828 -0.50131 1.37793 1.95906 0.69461 -1.22421 -1.98974 -0.88079 1.05793 0.00000 ... ... ..... ....... ......... ........... ............. E16g 2.00000 0.94093 -1.11465 -1.98974 -0.75756 1.27693 1.95906 0.56641 -1.42611 -1.90828 -0.36945 1.56065 1.83792 0.16870 -1.67918 -1.74869 0.03378 1.78048 1.64153 -0.23591 -1.86351 -1.51752 0.43563 1.92741 1.37793 -0.63087 -1.97154 -1.22421 0.81964 1.99544 1.05793 -1.00000 -1.99886 -0.88079 1.17010 1.98177 0.69461 -1.32819 -1.94434 -0.50131 1.47265 1.88697 0.30286 -1.60200 -1.81023 -0.10130 1.71491 0.00000 2.00000 1.71491 -0.10130 -1.81023 -1.60200 0.30286 1.88697 1.47265 -0.50131 -1.94434 -1.32819 0.69461 1.98177 1.17010 -0.88079 -1.99886 -1.00000 1.05793 1.99544 0.81964 -1.22421 -1.97154 -0.63087 1.37793 1.92741 0.43563 -1.51752 -1.86351 -0.23591 1.64153 1.78048 0.03378 -1.74869 -1.67918 0.16870 1.83792 1.56065 -0.36945 -1.90828 -1.42611 0.56641 1.95906 1.27693 -0.75756 -1.98974 -1.11465 0.94093 0.00000 ... ... ..... ....... ......... ........... ............. E17g 2.00000 0.81964 -1.32819 -1.90828 -0.23591 1.71491 1.64153 -0.36945 -1.94434 -1.22421 0.94093 1.99544 0.69461 -1.42611 -1.86351 -0.10130 1.78048 1.56065 -0.50131 -1.97154 -1.11465 1.05793 1.98177 0.56641 -1.51752 -1.81023 0.03378 1.83792 1.47265 -0.63087 -1.98974 -1.00000 1.17010 1.95906 0.43563 -1.60200 -1.74869 0.16870 1.88697 1.37793 -0.75756 -1.99886 -0.88079 1.27693 1.92741 0.30286 -1.67918 0.00000 2.00000 -1.67918 0.30286 1.92741 1.27693 -0.88079 -1.99886 -0.75756 1.37793 1.88697 0.16870 -1.74869 -1.60200 0.43563 1.95906 1.17010 -1.00000 -1.98974 -0.63087 1.47265 1.83792 0.03378 -1.81023 -1.51752 0.56641 1.98177 1.05793 -1.11465 -1.97154 -0.50131 1.56065 1.78048 -0.10130 -1.86351 -1.42611 0.69461 1.99544 0.94093 -1.22421 -1.94434 -0.36945 1.64153 1.71491 -0.23591 -1.90828 -1.32819 0.81964 0.00000 ... ... ..... ....... ......... ........... ............. E18g 2.00000 0.69461 -1.51752 -1.74869 0.30286 1.95906 1.05793 -1.22421 -1.90828 -0.10130 1.83792 1.37793 -0.88079 -1.98974 -0.50131 1.64153 1.64153 -0.50131 -1.98974 -0.88079 1.37793 1.83792 -0.10130 -1.90828 -1.22421 1.05793 1.95906 0.30286 -1.74869 -1.51752 0.69461 2.00000 0.69461 -1.51752 -1.74869 0.30286 1.95906 1.05793 -1.22421 -1.90828 -0.10130 1.83792 1.37793 -0.88079 -1.98974 -0.50131 1.64153 0.00000 2.00000 1.64153 -0.50131 -1.98974 -0.88079 1.37793 1.83792 -0.10130 -1.90828 -1.22421 1.05793 1.95906 0.30286 -1.74869 -1.51752 0.69461 2.00000 0.69461 -1.51752 -1.74869 0.30286 1.95906 1.05793 -1.22421 -1.90828 -0.10130 1.83792 1.37793 -0.88079 -1.98974 -0.50131 1.64153 1.64153 -0.50131 -1.98974 -0.88079 1.37793 1.83792 -0.10130 -1.90828 -1.22421 1.05793 1.95906 0.30286 -1.74869 -1.51752 0.69461 0.00000 ... ... ..... ....... ......... ........... ............. E19g 2.00000 0.56641 -1.67918 -1.51752 0.81964 1.98177 0.30286 -1.81023 -1.32819 1.05793 1.92741 0.03378 -1.90828 -1.11465 1.27693 1.83792 -0.23591 -1.97154 -0.88079 1.47265 1.71491 -0.50131 -1.99886 -0.63087 1.64153 1.56065 -0.75756 -1.98974 -0.36945 1.78048 1.37793 -1.00000 -1.94434 -0.10130 1.88697 1.17010 -1.22421 -1.86351 0.16870 1.95906 0.94093 -1.42611 -1.74869 0.43563 1.99544 0.69461 -1.60200 0.00000 2.00000 -1.60200 0.69461 1.99544 0.43563 -1.74869 -1.42611 0.94093 1.95906 0.16870 -1.86351 -1.22421 1.17010 1.88697 -0.10130 -1.94434 -1.00000 1.37793 1.78048 -0.36945 -1.98974 -0.75756 1.56065 1.64153 -0.63087 -1.99886 -0.50131 1.71491 1.47265 -0.88079 -1.97154 -0.23591 1.83792 1.27693 -1.11465 -1.90828 0.03378 1.92741 1.05793 -1.32819 -1.81023 0.30286 1.98177 0.81964 -1.51752 -1.67918 0.56641 0.00000 ... ... ..... ....... ......... ........... ............. E20g 2.00000 0.43563 -1.81023 -1.22421 1.27693 1.78048 -0.50131 -1.99886 -0.36945 1.83792 1.17010 -1.32819 -1.74869 0.56641 1.99544 0.30286 -1.86351 -1.11465 1.37793 1.71491 -0.63087 -1.98974 -0.23591 1.88697 1.05793 -1.42611 -1.67918 0.69461 1.98177 0.16870 -1.90828 -1.00000 1.47265 1.64153 -0.75756 -1.97154 -0.10130 1.92741 0.94093 -1.51752 -1.60200 0.81964 1.95906 0.03378 -1.94434 -0.88079 1.56065 0.00000 2.00000 1.56065 -0.88079 -1.94434 0.03378 1.95906 0.81964 -1.60200 -1.51752 0.94093 1.92741 -0.10130 -1.97154 -0.75756 1.64153 1.47265 -1.00000 -1.90828 0.16870 1.98177 0.69461 -1.67918 -1.42611 1.05793 1.88697 -0.23591 -1.98974 -0.63087 1.71491 1.37793 -1.11465 -1.86351 0.30286 1.99544 0.56641 -1.74869 -1.32819 1.17010 1.83792 -0.36945 -1.99886 -0.50131 1.78048 1.27693 -1.22421 -1.81023 0.43563 0.00000 ... ... ..... ....... ......... ........... ............. E21g 2.00000 0.30286 -1.90828 -0.88079 1.64153 1.37793 -1.22421 -1.74869 0.69461 1.95906 -0.10130 -1.98974 -0.50131 1.83792 1.05793 -1.51752 -1.51752 1.05793 1.83792 -0.50131 -1.98974 -0.10130 1.95906 0.69461 -1.74869 -1.22421 1.37793 1.64153 -0.88079 -1.90828 0.30286 2.00000 0.30286 -1.90828 -0.88079 1.64153 1.37793 -1.22421 -1.74869 0.69461 1.95906 -0.10130 -1.98974 -0.50131 1.83792 1.05793 -1.51752 0.00000 2.00000 -1.51752 1.05793 1.83792 -0.50131 -1.98974 -0.10130 1.95906 0.69461 -1.74869 -1.22421 1.37793 1.64153 -0.88079 -1.90828 0.30286 2.00000 0.30286 -1.90828 -0.88079 1.64153 1.37793 -1.22421 -1.74869 0.69461 1.95906 -0.10130 -1.98974 -0.50131 1.83792 1.05793 -1.51752 -1.51752 1.05793 1.83792 -0.50131 -1.98974 -0.10130 1.95906 0.69461 -1.74869 -1.22421 1.37793 1.64153 -0.88079 -1.90828 0.30286 0.00000 ... ... ..... ....... ......... ........... ............. E22g 2.00000 0.16870 -1.97154 -0.50131 1.88697 0.81964 -1.74869 -1.11465 1.56065 1.37793 -1.32819 -1.60200 1.05793 1.78048 -0.75756 -1.90828 0.43563 1.98177 -0.10130 -1.99886 -0.23591 1.95906 0.56641 -1.86351 -0.88079 1.71491 1.17010 -1.51752 -1.42611 1.27693 1.64153 -1.00000 -1.81023 0.69461 1.92741 -0.36945 -1.98974 0.03378 1.99544 0.30286 -1.94434 -0.63087 1.83792 0.94093 -1.67918 -1.22421 1.47265 0.00000 2.00000 1.47265 -1.22421 -1.67918 0.94093 1.83792 -0.63087 -1.94434 0.30286 1.99544 0.03378 -1.98974 -0.36945 1.92741 0.69461 -1.81023 -1.00000 1.64153 1.27693 -1.42611 -1.51752 1.17010 1.71491 -0.88079 -1.86351 0.56641 1.95906 -0.23591 -1.99886 -0.10130 1.98177 0.43563 -1.90828 -0.75756 1.78048 1.05793 -1.60200 -1.32819 1.37793 1.56065 -1.11465 -1.74869 0.81964 1.88697 -0.50131 -1.97154 0.16870 0.00000 ... ... ..... ....... ......... ........... ............. E23g 2.00000 0.03378 -1.99886 -0.10130 1.99544 0.16870 -1.98974 -0.23591 1.98177 0.30286 -1.97154 -0.36945 1.95906 0.43563 -1.94434 -0.50131 1.92741 0.56641 -1.90828 -0.63087 1.88697 0.69461 -1.86351 -0.75756 1.83792 0.81964 -1.81023 -0.88079 1.78048 0.94093 -1.74869 -1.00000 1.71491 1.05793 -1.67918 -1.11465 1.64153 1.17010 -1.60200 -1.22421 1.56065 1.27693 -1.51752 -1.32819 1.47265 1.37793 -1.42611 0.00000 2.00000 -1.42611 1.37793 1.47265 -1.32819 -1.51752 1.27693 1.56065 -1.22421 -1.60200 1.17010 1.64153 -1.11465 -1.67918 1.05793 1.71491 -1.00000 -1.74869 0.94093 1.78048 -0.88079 -1.81023 0.81964 1.83792 -0.75756 -1.86351 0.69461 1.88697 -0.63087 -1.90828 0.56641 1.92741 -0.50131 -1.94434 0.43563 1.95906 -0.36945 -1.97154 0.30286 1.98177 -0.23591 -1.98974 0.16870 1.99544 -0.10130 -1.99886 0.03378 0.00000 ... ... ..... ....... ......... ........... ............. E24g 2.00000 -0.10130 -1.98974 0.30286 1.95906 -0.50131 -1.90828 0.69461 1.83792 -0.88079 -1.74869 1.05793 1.64153 -1.22421 -1.51752 1.37793 1.37793 -1.51752 -1.22421 1.64153 1.05793 -1.74869 -0.88079 1.83792 0.69461 -1.90828 -0.50131 1.95906 0.30286 -1.98974 -0.10130 2.00000 -0.10130 -1.98974 0.30286 1.95906 -0.50131 -1.90828 0.69461 1.83792 -0.88079 -1.74869 1.05793 1.64153 -1.22421 -1.51752 1.37793 0.00000 2.00000 1.37793 -1.51752 -1.22421 1.64153 1.05793 -1.74869 -0.88079 1.83792 0.69461 -1.90828 -0.50131 1.95906 0.30286 -1.98974 -0.10130 2.00000 -0.10130 -1.98974 0.30286 1.95906 -0.50131 -1.90828 0.69461 1.83792 -0.88079 -1.74869 1.05793 1.64153 -1.22421 -1.51752 1.37793 1.37793 -1.51752 -1.22421 1.64153 1.05793 -1.74869 -0.88079 1.83792 0.69461 -1.90828 -0.50131 1.95906 0.30286 -1.98974 -0.10130 0.00000 ... ... ..... ....... ......... ........... ............. E25g 2.00000 -0.23591 -1.94434 0.69461 1.78048 -1.11465 -1.51752 1.47265 1.17010 -1.74869 -0.75756 1.92741 0.30286 -1.99886 0.16870 1.95906 -0.63087 -1.81023 1.05793 1.56065 -1.42611 -1.22421 1.71491 0.81964 -1.90828 -0.36945 1.99544 -0.10130 -1.97154 0.56641 1.83792 -1.00000 -1.60200 1.37793 1.27693 -1.67918 -0.88079 1.88697 0.43563 -1.98974 0.03378 1.98177 -0.50131 -1.86351 0.94093 1.64153 -1.32819 0.00000 2.00000 -1.32819 1.64153 0.94093 -1.86351 -0.50131 1.98177 0.03378 -1.98974 0.43563 1.88697 -0.88079 -1.67918 1.27693 1.37793 -1.60200 -1.00000 1.83792 0.56641 -1.97154 -0.10130 1.99544 -0.36945 -1.90828 0.81964 1.71491 -1.22421 -1.42611 1.56065 1.05793 -1.81023 -0.63087 1.95906 0.16870 -1.99886 0.30286 1.92741 -0.75756 -1.74869 1.17010 1.47265 -1.51752 -1.11465 1.78048 0.69461 -1.94434 -0.23591 0.00000 ... ... ..... ....... ......... ........... ............. E26g 2.00000 -0.36945 -1.86351 1.05793 1.47265 -1.60200 -0.88079 1.92741 0.16870 -1.98974 0.56641 1.78048 -1.22421 -1.32819 1.71491 0.69461 -1.97154 0.03378 1.95906 -0.75756 -1.67918 1.37793 1.17010 -1.81023 -0.50131 1.99544 -0.23591 -1.90828 0.94093 1.56065 -1.51752 -1.00000 1.88697 0.30286 -1.99886 0.43563 1.83792 -1.11465 -1.42611 1.64153 0.81964 -1.94434 -0.10130 1.98177 -0.63087 -1.74869 1.27693 0.00000 2.00000 1.27693 -1.74869 -0.63087 1.98177 -0.10130 -1.94434 0.81964 1.64153 -1.42611 -1.11465 1.83792 0.43563 -1.99886 0.30286 1.88697 -1.00000 -1.51752 1.56065 0.94093 -1.90828 -0.23591 1.99544 -0.50131 -1.81023 1.17010 1.37793 -1.67918 -0.75756 1.95906 0.03378 -1.97154 0.69461 1.71491 -1.32819 -1.22421 1.78048 0.56641 -1.98974 0.16870 1.92741 -0.88079 -1.60200 1.47265 1.05793 -1.86351 -0.36945 0.00000 ... ... ..... ....... ......... ........... ............. E27g 2.00000 -0.50131 -1.74869 1.37793 1.05793 -1.90828 -0.10130 1.95906 -0.88079 -1.51752 1.64153 0.69461 -1.98974 0.30286 1.83792 -1.22421 -1.22421 1.83792 0.30286 -1.98974 0.69461 1.64153 -1.51752 -0.88079 1.95906 -0.10130 -1.90828 1.05793 1.37793 -1.74869 -0.50131 2.00000 -0.50131 -1.74869 1.37793 1.05793 -1.90828 -0.10130 1.95906 -0.88079 -1.51752 1.64153 0.69461 -1.98974 0.30286 1.83792 -1.22421 0.00000 2.00000 -1.22421 1.83792 0.30286 -1.98974 0.69461 1.64153 -1.51752 -0.88079 1.95906 -0.10130 -1.90828 1.05793 1.37793 -1.74869 -0.50131 2.00000 -0.50131 -1.74869 1.37793 1.05793 -1.90828 -0.10130 1.95906 -0.88079 -1.51752 1.64153 0.69461 -1.98974 0.30286 1.83792 -1.22421 -1.22421 1.83792 0.30286 -1.98974 0.69461 1.64153 -1.51752 -0.88079 1.95906 -0.10130 -1.90828 1.05793 1.37793 -1.74869 -0.50131 0.00000 ... ... ..... ....... ......... ........... ............. E28g 2.00000 -0.63087 -1.60200 1.64153 0.56641 -1.99886 0.69461 1.56065 -1.67918 -0.50131 1.99544 -0.75756 -1.51752 1.71491 0.43563 -1.98974 0.81964 1.47265 -1.74869 -0.36945 1.98177 -0.88079 -1.42611 1.78048 0.30286 -1.97154 0.94093 1.37793 -1.81023 -0.23591 1.95906 -1.00000 -1.32819 1.83792 0.16870 -1.94434 1.05793 1.27693 -1.86351 -0.10130 1.92741 -1.11465 -1.22421 1.88697 0.03378 -1.90828 1.17010 0.00000 2.00000 1.17010 -1.90828 0.03378 1.88697 -1.22421 -1.11465 1.92741 -0.10130 -1.86351 1.27693 1.05793 -1.94434 0.16870 1.83792 -1.32819 -1.00000 1.95906 -0.23591 -1.81023 1.37793 0.94093 -1.97154 0.30286 1.78048 -1.42611 -0.88079 1.98177 -0.36945 -1.74869 1.47265 0.81964 -1.98974 0.43563 1.71491 -1.51752 -0.75756 1.99544 -0.50131 -1.67918 1.56065 0.69461 -1.99886 0.56641 1.64153 -1.60200 -0.63087 0.00000 ... ... ..... ....... ......... ........... ............. E29g 2.00000 -0.75756 -1.42611 1.83792 0.03378 -1.86351 1.37793 0.81964 -1.99886 0.69461 1.47265 -1.81023 -0.10130 1.88697 -1.32819 -0.88079 1.99544 -0.63087 -1.51752 1.78048 0.16870 -1.90828 1.27693 0.94093 -1.98974 0.56641 1.56065 -1.74869 -0.23591 1.92741 -1.22421 -1.00000 1.98177 -0.50131 -1.60200 1.71491 0.30286 -1.94434 1.17010 1.05793 -1.97154 0.43563 1.64153 -1.67918 -0.36945 1.95906 -1.11465 0.00000 2.00000 -1.11465 1.95906 -0.36945 -1.67918 1.64153 0.43563 -1.97154 1.05793 1.17010 -1.94434 0.30286 1.71491 -1.60200 -0.50131 1.98177 -1.00000 -1.22421 1.92741 -0.23591 -1.74869 1.56065 0.56641 -1.98974 0.94093 1.27693 -1.90828 0.16870 1.78048 -1.51752 -0.63087 1.99544 -0.88079 -1.32819 1.88697 -0.10130 -1.81023 1.47265 0.69461 -1.99886 0.81964 1.37793 -1.86351 0.03378 1.83792 -1.42611 -0.75756 0.00000 ... ... ..... ....... ......... ........... ............. E30g 2.00000 -0.88079 -1.22421 1.95906 -0.50131 -1.51752 1.83792 -0.10130 -1.74869 1.64153 0.30286 -1.90828 1.37793 0.69461 -1.98974 1.05793 1.05793 -1.98974 0.69461 1.37793 -1.90828 0.30286 1.64153 -1.74869 -0.10130 1.83792 -1.51752 -0.50131 1.95906 -1.22421 -0.88079 2.00000 -0.88079 -1.22421 1.95906 -0.50131 -1.51752 1.83792 -0.10130 -1.74869 1.64153 0.30286 -1.90828 1.37793 0.69461 -1.98974 1.05793 0.00000 2.00000 1.05793 -1.98974 0.69461 1.37793 -1.90828 0.30286 1.64153 -1.74869 -0.10130 1.83792 -1.51752 -0.50131 1.95906 -1.22421 -0.88079 2.00000 -0.88079 -1.22421 1.95906 -0.50131 -1.51752 1.83792 -0.10130 -1.74869 1.64153 0.30286 -1.90828 1.37793 0.69461 -1.98974 1.05793 1.05793 -1.98974 0.69461 1.37793 -1.90828 0.30286 1.64153 -1.74869 -0.10130 1.83792 -1.51752 -0.50131 1.95906 -1.22421 -0.88079 0.00000 ... ... ..... ....... ......... ........... ............. E31g 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 0.00000 2.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 0.00000 ... ... ..... ....... ......... ........... ............. E32g 2.00000 -1.11465 -0.75756 1.95906 -1.42611 -0.36945 1.83792 -1.67918 0.03378 1.64153 -1.86351 0.43563 1.37793 -1.97154 0.81964 1.05793 -1.99886 1.17010 0.69461 -1.94434 1.47265 0.30286 -1.81023 1.71491 -0.10130 -1.60200 1.88697 -0.50131 -1.32819 1.98177 -0.88079 -1.00000 1.99544 -1.22421 -0.63087 1.92741 -1.51752 -0.23591 1.78048 -1.74869 0.16870 1.56065 -1.90828 0.56641 1.27693 -1.98974 0.94093 0.00000 2.00000 0.94093 -1.98974 1.27693 0.56641 -1.90828 1.56065 0.16870 -1.74869 1.78048 -0.23591 -1.51752 1.92741 -0.63087 -1.22421 1.99544 -1.00000 -0.88079 1.98177 -1.32819 -0.50131 1.88697 -1.60200 -0.10130 1.71491 -1.81023 0.30286 1.47265 -1.94434 0.69461 1.17010 -1.99886 1.05793 0.81964 -1.97154 1.37793 0.43563 -1.86351 1.64153 0.03378 -1.67918 1.83792 -0.36945 -1.42611 1.95906 -0.75756 -1.11465 0.00000 ... ... ..... ....... ......... ........... ............. E33g 2.00000 -1.22421 -0.50131 1.83792 -1.74869 0.30286 1.37793 -1.98974 1.05793 0.69461 -1.90828 1.64153 -0.10130 -1.51752 1.95906 -0.88079 -0.88079 1.95906 -1.51752 -0.10130 1.64153 -1.90828 0.69461 1.05793 -1.98974 1.37793 0.30286 -1.74869 1.83792 -0.50131 -1.22421 2.00000 -1.22421 -0.50131 1.83792 -1.74869 0.30286 1.37793 -1.98974 1.05793 0.69461 -1.90828 1.64153 -0.10130 -1.51752 1.95906 -0.88079 0.00000 2.00000 -0.88079 1.95906 -1.51752 -0.10130 1.64153 -1.90828 0.69461 1.05793 -1.98974 1.37793 0.30286 -1.74869 1.83792 -0.50131 -1.22421 2.00000 -1.22421 -0.50131 1.83792 -1.74869 0.30286 1.37793 -1.98974 1.05793 0.69461 -1.90828 1.64153 -0.10130 -1.51752 1.95906 -0.88079 -0.88079 1.95906 -1.51752 -0.10130 1.64153 -1.90828 0.69461 1.05793 -1.98974 1.37793 0.30286 -1.74869 1.83792 -0.50131 -1.22421 0.00000 ... ... ..... ....... ......... ........... ............. E34g 2.00000 -1.32819 -0.23591 1.64153 -1.94434 0.94093 0.69461 -1.86351 1.78048 -0.50131 -1.11465 1.98177 -1.51752 0.03378 1.47265 -1.98974 1.17010 0.43563 -1.74869 1.88697 -0.75756 -0.88079 1.92741 -1.67918 0.30286 1.27693 -1.99886 1.37793 0.16870 -1.60200 1.95906 -1.00000 -0.63087 1.83792 -1.81023 0.56641 1.05793 -1.97154 1.56065 -0.10130 -1.42611 1.99544 -1.22421 -0.36945 1.71491 -1.90828 0.81964 0.00000 2.00000 0.81964 -1.90828 1.71491 -0.36945 -1.22421 1.99544 -1.42611 -0.10130 1.56065 -1.97154 1.05793 0.56641 -1.81023 1.83792 -0.63087 -1.00000 1.95906 -1.60200 0.16870 1.37793 -1.99886 1.27693 0.30286 -1.67918 1.92741 -0.88079 -0.75756 1.88697 -1.74869 0.43563 1.17010 -1.98974 1.47265 0.03378 -1.51752 1.98177 -1.11465 -0.50131 1.78048 -1.86351 0.69461 0.94093 -1.94434 1.64153 -0.23591 -1.32819 0.00000 ... ... ..... ....... ......... ........... ............. E35g 2.00000 -1.42611 0.03378 1.37793 -1.99886 1.47265 -0.10130 -1.32819 1.99544 -1.51752 0.16870 1.27693 -1.98974 1.56065 -0.23591 -1.22421 1.98177 -1.60200 0.30286 1.17010 -1.97154 1.64153 -0.36945 -1.11465 1.95906 -1.67918 0.43563 1.05793 -1.94434 1.71491 -0.50131 -1.00000 1.92741 -1.74869 0.56641 0.94093 -1.90828 1.78048 -0.63087 -0.88079 1.88697 -1.81023 0.69461 0.81964 -1.86351 1.83792 -0.75756 0.00000 2.00000 -0.75756 1.83792 -1.86351 0.81964 0.69461 -1.81023 1.88697 -0.88079 -0.63087 1.78048 -1.90828 0.94093 0.56641 -1.74869 1.92741 -1.00000 -0.50131 1.71491 -1.94434 1.05793 0.43563 -1.67918 1.95906 -1.11465 -0.36945 1.64153 -1.97154 1.17010 0.30286 -1.60200 1.98177 -1.22421 -0.23591 1.56065 -1.98974 1.27693 0.16870 -1.51752 1.99544 -1.32819 -0.10130 1.47265 -1.99886 1.37793 0.03378 -1.42611 0.00000 ... ... ..... ....... ......... ........... ............. E36g 2.00000 -1.51752 0.30286 1.05793 -1.90828 1.83792 -0.88079 -0.50131 1.64153 -1.98974 1.37793 -0.10130 -1.22421 1.95906 -1.74869 0.69461 0.69461 -1.74869 1.95906 -1.22421 -0.10130 1.37793 -1.98974 1.64153 -0.50131 -0.88079 1.83792 -1.90828 1.05793 0.30286 -1.51752 2.00000 -1.51752 0.30286 1.05793 -1.90828 1.83792 -0.88079 -0.50131 1.64153 -1.98974 1.37793 -0.10130 -1.22421 1.95906 -1.74869 0.69461 0.00000 2.00000 0.69461 -1.74869 1.95906 -1.22421 -0.10130 1.37793 -1.98974 1.64153 -0.50131 -0.88079 1.83792 -1.90828 1.05793 0.30286 -1.51752 2.00000 -1.51752 0.30286 1.05793 -1.90828 1.83792 -0.88079 -0.50131 1.64153 -1.98974 1.37793 -0.10130 -1.22421 1.95906 -1.74869 0.69461 0.69461 -1.74869 1.95906 -1.22421 -0.10130 1.37793 -1.98974 1.64153 -0.50131 -0.88079 1.83792 -1.90828 1.05793 0.30286 -1.51752 0.00000 ... ... ..... ....... ......... ........... ............. E37g 2.00000 -1.60200 0.56641 0.69461 -1.67918 1.99544 -1.51752 0.43563 0.81964 -1.74869 1.98177 -1.42611 0.30286 0.94093 -1.81023 1.95906 -1.32819 0.16870 1.05793 -1.86351 1.92741 -1.22421 0.03378 1.17010 -1.90828 1.88697 -1.11465 -0.10130 1.27693 -1.94434 1.83792 -1.00000 -0.23591 1.37793 -1.97154 1.78048 -0.88079 -0.36945 1.47265 -1.98974 1.71491 -0.75756 -0.50131 1.56065 -1.99886 1.64153 -0.63087 0.00000 2.00000 -0.63087 1.64153 -1.99886 1.56065 -0.50131 -0.75756 1.71491 -1.98974 1.47265 -0.36945 -0.88079 1.78048 -1.97154 1.37793 -0.23591 -1.00000 1.83792 -1.94434 1.27693 -0.10130 -1.11465 1.88697 -1.90828 1.17010 0.03378 -1.22421 1.92741 -1.86351 1.05793 0.16870 -1.32819 1.95906 -1.81023 0.94093 0.30286 -1.42611 1.98177 -1.74869 0.81964 0.43563 -1.51752 1.99544 -1.67918 0.69461 0.56641 -1.60200 0.00000 ... ... ..... ....... ......... ........... ............. E38g 2.00000 -1.67918 0.81964 0.30286 -1.32819 1.92741 -1.90828 1.27693 -0.23591 -0.88079 1.71491 -1.99886 1.64153 -0.75756 -0.36945 1.37793 -1.94434 1.88697 -1.22421 0.16870 0.94093 -1.74869 1.99544 -1.60200 0.69461 0.43563 -1.42611 1.95906 -1.86351 1.17010 -0.10130 -1.00000 1.78048 -1.98974 1.56065 -0.63087 -0.50131 1.47265 -1.97154 1.83792 -1.11465 0.03378 1.05793 -1.81023 1.98177 -1.51752 0.56641 0.00000 2.00000 0.56641 -1.51752 1.98177 -1.81023 1.05793 0.03378 -1.11465 1.83792 -1.97154 1.47265 -0.50131 -0.63087 1.56065 -1.98974 1.78048 -1.00000 -0.10130 1.17010 -1.86351 1.95906 -1.42611 0.43563 0.69461 -1.60200 1.99544 -1.74869 0.94093 0.16870 -1.22421 1.88697 -1.94434 1.37793 -0.36945 -0.75756 1.64153 -1.99886 1.71491 -0.88079 -0.23591 1.27693 -1.90828 1.92741 -1.32819 0.30286 0.81964 -1.67918 0.00000 ... ... ..... ....... ......... ........... ............. E39g 2.00000 -1.74869 1.05793 -0.10130 -0.88079 1.64153 -1.98974 1.83792 -1.22421 0.30286 0.69461 -1.51752 1.95906 -1.90828 1.37793 -0.50131 -0.50131 1.37793 -1.90828 1.95906 -1.51752 0.69461 0.30286 -1.22421 1.83792 -1.98974 1.64153 -0.88079 -0.10130 1.05793 -1.74869 2.00000 -1.74869 1.05793 -0.10130 -0.88079 1.64153 -1.98974 1.83792 -1.22421 0.30286 0.69461 -1.51752 1.95906 -1.90828 1.37793 -0.50131 0.00000 2.00000 -0.50131 1.37793 -1.90828 1.95906 -1.51752 0.69461 0.30286 -1.22421 1.83792 -1.98974 1.64153 -0.88079 -0.10130 1.05793 -1.74869 2.00000 -1.74869 1.05793 -0.10130 -0.88079 1.64153 -1.98974 1.83792 -1.22421 0.30286 0.69461 -1.51752 1.95906 -1.90828 1.37793 -0.50131 -0.50131 1.37793 -1.90828 1.95906 -1.51752 0.69461 0.30286 -1.22421 1.83792 -1.98974 1.64153 -0.88079 -0.10130 1.05793 -1.74869 0.00000 ... ... ..... ....... ......... ........... ............. E40g 2.00000 -1.81023 1.27693 -0.50131 -0.36945 1.17010 -1.74869 1.99544 -1.86351 1.37793 -0.63087 -0.23591 1.05793 -1.67918 1.98177 -1.90828 1.47265 -0.75756 -0.10130 0.94093 -1.60200 1.95906 -1.94434 1.56065 -0.88079 0.03378 0.81964 -1.51752 1.92741 -1.97154 1.64153 -1.00000 0.16870 0.69461 -1.42611 1.88697 -1.98974 1.71491 -1.11465 0.30286 0.56641 -1.32819 1.83792 -1.99886 1.78048 -1.22421 0.43563 0.00000 2.00000 0.43563 -1.22421 1.78048 -1.99886 1.83792 -1.32819 0.56641 0.30286 -1.11465 1.71491 -1.98974 1.88697 -1.42611 0.69461 0.16870 -1.00000 1.64153 -1.97154 1.92741 -1.51752 0.81964 0.03378 -0.88079 1.56065 -1.94434 1.95906 -1.60200 0.94093 -0.10130 -0.75756 1.47265 -1.90828 1.98177 -1.67918 1.05793 -0.23591 -0.63087 1.37793 -1.86351 1.99544 -1.74869 1.17010 -0.36945 -0.50131 1.27693 -1.81023 0.00000 ... ... ..... ....... ......... ........... ............. E41g 2.00000 -1.86351 1.47265 -0.88079 0.16870 0.56641 -1.22421 1.71491 -1.97154 1.95906 -1.67918 1.17010 -0.50131 -0.23591 0.94093 -1.51752 1.88697 -1.99886 1.83792 -1.42611 0.81964 -0.10130 -0.63087 1.27693 -1.74869 1.98177 -1.94434 1.64153 -1.11465 0.43563 0.30286 -1.00000 1.56065 -1.90828 1.99544 -1.81023 1.37793 -0.75756 0.03378 0.69461 -1.32819 1.78048 -1.98974 1.92741 -1.60200 1.05793 -0.36945 0.00000 2.00000 -0.36945 1.05793 -1.60200 1.92741 -1.98974 1.78048 -1.32819 0.69461 0.03378 -0.75756 1.37793 -1.81023 1.99544 -1.90828 1.56065 -1.00000 0.30286 0.43563 -1.11465 1.64153 -1.94434 1.98177 -1.74869 1.27693 -0.63087 -0.10130 0.81964 -1.42611 1.83792 -1.99886 1.88697 -1.51752 0.94093 -0.23591 -0.50131 1.17010 -1.67918 1.95906 -1.97154 1.71491 -1.22421 0.56641 0.16870 -0.88079 1.47265 -1.86351 0.00000 ... ... ..... ....... ......... ........... ............. E42g 2.00000 -1.90828 1.64153 -1.22421 0.69461 -0.10130 -0.50131 1.05793 -1.51752 1.83792 -1.98974 1.95906 -1.74869 1.37793 -0.88079 0.30286 0.30286 -0.88079 1.37793 -1.74869 1.95906 -1.98974 1.83792 -1.51752 1.05793 -0.50131 -0.10130 0.69461 -1.22421 1.64153 -1.90828 2.00000 -1.90828 1.64153 -1.22421 0.69461 -0.10130 -0.50131 1.05793 -1.51752 1.83792 -1.98974 1.95906 -1.74869 1.37793 -0.88079 0.30286 0.00000 2.00000 0.30286 -0.88079 1.37793 -1.74869 1.95906 -1.98974 1.83792 -1.51752 1.05793 -0.50131 -0.10130 0.69461 -1.22421 1.64153 -1.90828 2.00000 -1.90828 1.64153 -1.22421 0.69461 -0.10130 -0.50131 1.05793 -1.51752 1.83792 -1.98974 1.95906 -1.74869 1.37793 -0.88079 0.30286 0.30286 -0.88079 1.37793 -1.74869 1.95906 -1.98974 1.83792 -1.51752 1.05793 -0.50131 -0.10130 0.69461 -1.22421 1.64153 -1.90828 0.00000 ... ... ..... ....... ......... ........... ............. E43g 2.00000 -1.94434 1.78048 -1.51752 1.17010 -0.75756 0.30286 0.16870 -0.63087 1.05793 -1.42611 1.71491 -1.90828 1.99544 -1.97154 1.83792 -1.60200 1.27693 -0.88079 0.43563 0.03378 -0.50131 0.94093 -1.32819 1.64153 -1.86351 1.98177 -1.98974 1.88697 -1.67918 1.37793 -1.00000 0.56641 -0.10130 -0.36945 0.81964 -1.22421 1.56065 -1.81023 1.95906 -1.99886 1.92741 -1.74869 1.47265 -1.11465 0.69461 -0.23591 0.00000 2.00000 -0.23591 0.69461 -1.11465 1.47265 -1.74869 1.92741 -1.99886 1.95906 -1.81023 1.56065 -1.22421 0.81964 -0.36945 -0.10130 0.56641 -1.00000 1.37793 -1.67918 1.88697 -1.98974 1.98177 -1.86351 1.64153 -1.32819 0.94093 -0.50131 0.03378 0.43563 -0.88079 1.27693 -1.60200 1.83792 -1.97154 1.99544 -1.90828 1.71491 -1.42611 1.05793 -0.63087 0.16870 0.30286 -0.75756 1.17010 -1.51752 1.78048 -1.94434 0.00000 ... ... ..... ....... ......... ........... ............. E44g 2.00000 -1.97154 1.88697 -1.74869 1.56065 -1.32819 1.05793 -0.75756 0.43563 -0.10130 -0.23591 0.56641 -0.88079 1.17010 -1.42611 1.64153 -1.81023 1.92741 -1.98974 1.99544 -1.94434 1.83792 -1.67918 1.47265 -1.22421 0.94093 -0.63087 0.30286 0.03378 -0.36945 0.69461 -1.00000 1.27693 -1.51752 1.71491 -1.86351 1.95906 -1.99886 1.98177 -1.90828 1.78048 -1.60200 1.37793 -1.11465 0.81964 -0.50131 0.16870 0.00000 2.00000 0.16870 -0.50131 0.81964 -1.11465 1.37793 -1.60200 1.78048 -1.90828 1.98177 -1.99886 1.95906 -1.86351 1.71491 -1.51752 1.27693 -1.00000 0.69461 -0.36945 0.03378 0.30286 -0.63087 0.94093 -1.22421 1.47265 -1.67918 1.83792 -1.94434 1.99544 -1.98974 1.92741 -1.81023 1.64153 -1.42611 1.17010 -0.88079 0.56641 -0.23591 -0.10130 0.43563 -0.75756 1.05793 -1.32819 1.56065 -1.74869 1.88697 -1.97154 0.00000 ... ... ..... ....... ......... ........... ............. E45g 2.00000 -1.98974 1.95906 -1.90828 1.83792 -1.74869 1.64153 -1.51752 1.37793 -1.22421 1.05793 -0.88079 0.69461 -0.50131 0.30286 -0.10130 -0.10130 0.30286 -0.50131 0.69461 -0.88079 1.05793 -1.22421 1.37793 -1.51752 1.64153 -1.74869 1.83792 -1.90828 1.95906 -1.98974 2.00000 -1.98974 1.95906 -1.90828 1.83792 -1.74869 1.64153 -1.51752 1.37793 -1.22421 1.05793 -0.88079 0.69461 -0.50131 0.30286 -0.10130 0.00000 2.00000 -0.10130 0.30286 -0.50131 0.69461 -0.88079 1.05793 -1.22421 1.37793 -1.51752 1.64153 -1.74869 1.83792 -1.90828 1.95906 -1.98974 2.00000 -1.98974 1.95906 -1.90828 1.83792 -1.74869 1.64153 -1.51752 1.37793 -1.22421 1.05793 -0.88079 0.69461 -0.50131 0.30286 -0.10130 -0.10130 0.30286 -0.50131 0.69461 -0.88079 1.05793 -1.22421 1.37793 -1.51752 1.64153 -1.74869 1.83792 -1.90828 1.95906 -1.98974 0.00000 ... ... ..... ....... ......... ........... ............. E46g 2.00000 -1.99886 1.99544 -1.98974 1.98177 -1.97154 1.95906 -1.94434 1.92741 -1.90828 1.88697 -1.86351 1.83792 -1.81023 1.78048 -1.74869 1.71491 -1.67918 1.64153 -1.60200 1.56065 -1.51752 1.47265 -1.42611 1.37793 -1.32819 1.27693 -1.22421 1.17010 -1.11465 1.05793 -1.00000 0.94093 -0.88079 0.81964 -0.75756 0.69461 -0.63087 0.56641 -0.50131 0.43563 -0.36945 0.30286 -0.23591 0.16870 -0.10130 0.03378 0.00000 2.00000 0.03378 -0.10130 0.16870 -0.23591 0.30286 -0.36945 0.43563 -0.50131 0.56641 -0.63087 0.69461 -0.75756 0.81964 -0.88079 0.94093 -1.00000 1.05793 -1.11465 1.17010 -1.22421 1.27693 -1.32819 1.37793 -1.42611 1.47265 -1.51752 1.56065 -1.60200 1.64153 -1.67918 1.71491 -1.74869 1.78048 -1.81023 1.83792 -1.86351 1.88697 -1.90828 1.92741 -1.94434 1.95906 -1.97154 1.98177 -1.98974 1.99544 -1.99886 0.00000 ... ... ..... ....... ......... ........... ............. A1u 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 ... ... ..... ....... ......... ........... ............. 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E15u 2.00000 1.05793 -0.88079 -1.98974 -1.22421 0.69461 1.95906 1.37793 -0.50131 -1.90828 -1.51752 0.30286 1.83792 1.64153 -0.10130 -1.74869 -1.74869 -0.10130 1.64153 1.83792 0.30286 -1.51752 -1.90828 -0.50131 1.37793 1.95906 0.69461 -1.22421 -1.98974 -0.88079 1.05793 2.00000 1.05793 -0.88079 -1.98974 -1.22421 0.69461 1.95906 1.37793 -0.50131 -1.90828 -1.51752 0.30286 1.83792 1.64153 -0.10130 -1.74869 0.00000 -2.00000 1.74869 0.10130 -1.64153 -1.83792 -0.30286 1.51752 1.90828 0.50131 -1.37793 -1.95906 -0.69461 1.22421 1.98974 0.88079 -1.05793 -2.00000 -1.05793 0.88079 1.98974 1.22421 -0.69461 -1.95906 -1.37793 0.50131 1.90828 1.51752 -0.30286 -1.83792 -1.64153 0.10130 1.74869 1.74869 0.10130 -1.64153 -1.83792 -0.30286 1.51752 1.90828 0.50131 -1.37793 -1.95906 -0.69461 1.22421 1.98974 0.88079 -1.05793 0.00000 ... ... ..... ....... ......... ........... ............. E16u 2.00000 0.94093 -1.11465 -1.98974 -0.75756 1.27693 1.95906 0.56641 -1.42611 -1.90828 -0.36945 1.56065 1.83792 0.16870 -1.67918 -1.74869 0.03378 1.78048 1.64153 -0.23591 -1.86351 -1.51752 0.43563 1.92741 1.37793 -0.63087 -1.97154 -1.22421 0.81964 1.99544 1.05793 -1.00000 -1.99886 -0.88079 1.17010 1.98177 0.69461 -1.32819 -1.94434 -0.50131 1.47265 1.88697 0.30286 -1.60200 -1.81023 -0.10130 1.71491 0.00000 -2.00000 -1.71491 0.10130 1.81023 1.60200 -0.30286 -1.88697 -1.47265 0.50131 1.94434 1.32819 -0.69461 -1.98177 -1.17010 0.88079 1.99886 1.00000 -1.05793 -1.99544 -0.81964 1.22421 1.97154 0.63087 -1.37793 -1.92741 -0.43563 1.51752 1.86351 0.23591 -1.64153 -1.78048 -0.03378 1.74869 1.67918 -0.16870 -1.83792 -1.56065 0.36945 1.90828 1.42611 -0.56641 -1.95906 -1.27693 0.75756 1.98974 1.11465 -0.94093 0.00000 ... ... ..... ....... ......... ........... ............. E17u 2.00000 0.81964 -1.32819 -1.90828 -0.23591 1.71491 1.64153 -0.36945 -1.94434 -1.22421 0.94093 1.99544 0.69461 -1.42611 -1.86351 -0.10130 1.78048 1.56065 -0.50131 -1.97154 -1.11465 1.05793 1.98177 0.56641 -1.51752 -1.81023 0.03378 1.83792 1.47265 -0.63087 -1.98974 -1.00000 1.17010 1.95906 0.43563 -1.60200 -1.74869 0.16870 1.88697 1.37793 -0.75756 -1.99886 -0.88079 1.27693 1.92741 0.30286 -1.67918 0.00000 -2.00000 1.67918 -0.30286 -1.92741 -1.27693 0.88079 1.99886 0.75756 -1.37793 -1.88697 -0.16870 1.74869 1.60200 -0.43563 -1.95906 -1.17010 1.00000 1.98974 0.63087 -1.47265 -1.83792 -0.03378 1.81023 1.51752 -0.56641 -1.98177 -1.05793 1.11465 1.97154 0.50131 -1.56065 -1.78048 0.10130 1.86351 1.42611 -0.69461 -1.99544 -0.94093 1.22421 1.94434 0.36945 -1.64153 -1.71491 0.23591 1.90828 1.32819 -0.81964 0.00000 ... ... ..... ....... ......... ........... ............. E18u 2.00000 0.69461 -1.51752 -1.74869 0.30286 1.95906 1.05793 -1.22421 -1.90828 -0.10130 1.83792 1.37793 -0.88079 -1.98974 -0.50131 1.64153 1.64153 -0.50131 -1.98974 -0.88079 1.37793 1.83792 -0.10130 -1.90828 -1.22421 1.05793 1.95906 0.30286 -1.74869 -1.51752 0.69461 2.00000 0.69461 -1.51752 -1.74869 0.30286 1.95906 1.05793 -1.22421 -1.90828 -0.10130 1.83792 1.37793 -0.88079 -1.98974 -0.50131 1.64153 0.00000 -2.00000 -1.64153 0.50131 1.98974 0.88079 -1.37793 -1.83792 0.10130 1.90828 1.22421 -1.05793 -1.95906 -0.30286 1.74869 1.51752 -0.69461 -2.00000 -0.69461 1.51752 1.74869 -0.30286 -1.95906 -1.05793 1.22421 1.90828 0.10130 -1.83792 -1.37793 0.88079 1.98974 0.50131 -1.64153 -1.64153 0.50131 1.98974 0.88079 -1.37793 -1.83792 0.10130 1.90828 1.22421 -1.05793 -1.95906 -0.30286 1.74869 1.51752 -0.69461 0.00000 ... ... ..... ....... ......... ........... ............. E19u 2.00000 0.56641 -1.67918 -1.51752 0.81964 1.98177 0.30286 -1.81023 -1.32819 1.05793 1.92741 0.03378 -1.90828 -1.11465 1.27693 1.83792 -0.23591 -1.97154 -0.88079 1.47265 1.71491 -0.50131 -1.99886 -0.63087 1.64153 1.56065 -0.75756 -1.98974 -0.36945 1.78048 1.37793 -1.00000 -1.94434 -0.10130 1.88697 1.17010 -1.22421 -1.86351 0.16870 1.95906 0.94093 -1.42611 -1.74869 0.43563 1.99544 0.69461 -1.60200 0.00000 -2.00000 1.60200 -0.69461 -1.99544 -0.43563 1.74869 1.42611 -0.94093 -1.95906 -0.16870 1.86351 1.22421 -1.17010 -1.88697 0.10130 1.94434 1.00000 -1.37793 -1.78048 0.36945 1.98974 0.75756 -1.56065 -1.64153 0.63087 1.99886 0.50131 -1.71491 -1.47265 0.88079 1.97154 0.23591 -1.83792 -1.27693 1.11465 1.90828 -0.03378 -1.92741 -1.05793 1.32819 1.81023 -0.30286 -1.98177 -0.81964 1.51752 1.67918 -0.56641 0.00000 ... ... ..... ....... ......... ........... ............. E20u 2.00000 0.43563 -1.81023 -1.22421 1.27693 1.78048 -0.50131 -1.99886 -0.36945 1.83792 1.17010 -1.32819 -1.74869 0.56641 1.99544 0.30286 -1.86351 -1.11465 1.37793 1.71491 -0.63087 -1.98974 -0.23591 1.88697 1.05793 -1.42611 -1.67918 0.69461 1.98177 0.16870 -1.90828 -1.00000 1.47265 1.64153 -0.75756 -1.97154 -0.10130 1.92741 0.94093 -1.51752 -1.60200 0.81964 1.95906 0.03378 -1.94434 -0.88079 1.56065 0.00000 -2.00000 -1.56065 0.88079 1.94434 -0.03378 -1.95906 -0.81964 1.60200 1.51752 -0.94093 -1.92741 0.10130 1.97154 0.75756 -1.64153 -1.47265 1.00000 1.90828 -0.16870 -1.98177 -0.69461 1.67918 1.42611 -1.05793 -1.88697 0.23591 1.98974 0.63087 -1.71491 -1.37793 1.11465 1.86351 -0.30286 -1.99544 -0.56641 1.74869 1.32819 -1.17010 -1.83792 0.36945 1.99886 0.50131 -1.78048 -1.27693 1.22421 1.81023 -0.43563 0.00000 ... ... ..... ....... ......... ........... ............. E21u 2.00000 0.30286 -1.90828 -0.88079 1.64153 1.37793 -1.22421 -1.74869 0.69461 1.95906 -0.10130 -1.98974 -0.50131 1.83792 1.05793 -1.51752 -1.51752 1.05793 1.83792 -0.50131 -1.98974 -0.10130 1.95906 0.69461 -1.74869 -1.22421 1.37793 1.64153 -0.88079 -1.90828 0.30286 2.00000 0.30286 -1.90828 -0.88079 1.64153 1.37793 -1.22421 -1.74869 0.69461 1.95906 -0.10130 -1.98974 -0.50131 1.83792 1.05793 -1.51752 0.00000 -2.00000 1.51752 -1.05793 -1.83792 0.50131 1.98974 0.10130 -1.95906 -0.69461 1.74869 1.22421 -1.37793 -1.64153 0.88079 1.90828 -0.30286 -2.00000 -0.30286 1.90828 0.88079 -1.64153 -1.37793 1.22421 1.74869 -0.69461 -1.95906 0.10130 1.98974 0.50131 -1.83792 -1.05793 1.51752 1.51752 -1.05793 -1.83792 0.50131 1.98974 0.10130 -1.95906 -0.69461 1.74869 1.22421 -1.37793 -1.64153 0.88079 1.90828 -0.30286 0.00000 ... ... ..... ....... ......... ........... ............. E22u 2.00000 0.16870 -1.97154 -0.50131 1.88697 0.81964 -1.74869 -1.11465 1.56065 1.37793 -1.32819 -1.60200 1.05793 1.78048 -0.75756 -1.90828 0.43563 1.98177 -0.10130 -1.99886 -0.23591 1.95906 0.56641 -1.86351 -0.88079 1.71491 1.17010 -1.51752 -1.42611 1.27693 1.64153 -1.00000 -1.81023 0.69461 1.92741 -0.36945 -1.98974 0.03378 1.99544 0.30286 -1.94434 -0.63087 1.83792 0.94093 -1.67918 -1.22421 1.47265 0.00000 -2.00000 -1.47265 1.22421 1.67918 -0.94093 -1.83792 0.63087 1.94434 -0.30286 -1.99544 -0.03378 1.98974 0.36945 -1.92741 -0.69461 1.81023 1.00000 -1.64153 -1.27693 1.42611 1.51752 -1.17010 -1.71491 0.88079 1.86351 -0.56641 -1.95906 0.23591 1.99886 0.10130 -1.98177 -0.43563 1.90828 0.75756 -1.78048 -1.05793 1.60200 1.32819 -1.37793 -1.56065 1.11465 1.74869 -0.81964 -1.88697 0.50131 1.97154 -0.16870 0.00000 ... ... ..... ....... ......... ........... ............. 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E24u 2.00000 -0.10130 -1.98974 0.30286 1.95906 -0.50131 -1.90828 0.69461 1.83792 -0.88079 -1.74869 1.05793 1.64153 -1.22421 -1.51752 1.37793 1.37793 -1.51752 -1.22421 1.64153 1.05793 -1.74869 -0.88079 1.83792 0.69461 -1.90828 -0.50131 1.95906 0.30286 -1.98974 -0.10130 2.00000 -0.10130 -1.98974 0.30286 1.95906 -0.50131 -1.90828 0.69461 1.83792 -0.88079 -1.74869 1.05793 1.64153 -1.22421 -1.51752 1.37793 0.00000 -2.00000 -1.37793 1.51752 1.22421 -1.64153 -1.05793 1.74869 0.88079 -1.83792 -0.69461 1.90828 0.50131 -1.95906 -0.30286 1.98974 0.10130 -2.00000 0.10130 1.98974 -0.30286 -1.95906 0.50131 1.90828 -0.69461 -1.83792 0.88079 1.74869 -1.05793 -1.64153 1.22421 1.51752 -1.37793 -1.37793 1.51752 1.22421 -1.64153 -1.05793 1.74869 0.88079 -1.83792 -0.69461 1.90828 0.50131 -1.95906 -0.30286 1.98974 0.10130 0.00000 ... ... ..... ....... ......... ........... ............. 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E29u 2.00000 -0.75756 -1.42611 1.83792 0.03378 -1.86351 1.37793 0.81964 -1.99886 0.69461 1.47265 -1.81023 -0.10130 1.88697 -1.32819 -0.88079 1.99544 -0.63087 -1.51752 1.78048 0.16870 -1.90828 1.27693 0.94093 -1.98974 0.56641 1.56065 -1.74869 -0.23591 1.92741 -1.22421 -1.00000 1.98177 -0.50131 -1.60200 1.71491 0.30286 -1.94434 1.17010 1.05793 -1.97154 0.43563 1.64153 -1.67918 -0.36945 1.95906 -1.11465 0.00000 -2.00000 1.11465 -1.95906 0.36945 1.67918 -1.64153 -0.43563 1.97154 -1.05793 -1.17010 1.94434 -0.30286 -1.71491 1.60200 0.50131 -1.98177 1.00000 1.22421 -1.92741 0.23591 1.74869 -1.56065 -0.56641 1.98974 -0.94093 -1.27693 1.90828 -0.16870 -1.78048 1.51752 0.63087 -1.99544 0.88079 1.32819 -1.88697 0.10130 1.81023 -1.47265 -0.69461 1.99886 -0.81964 -1.37793 1.86351 -0.03378 -1.83792 1.42611 0.75756 0.00000 ... ... ..... ....... ......... ........... ............. 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E45u 2.00000 -1.98974 1.95906 -1.90828 1.83792 -1.74869 1.64153 -1.51752 1.37793 -1.22421 1.05793 -0.88079 0.69461 -0.50131 0.30286 -0.10130 -0.10130 0.30286 -0.50131 0.69461 -0.88079 1.05793 -1.22421 1.37793 -1.51752 1.64153 -1.74869 1.83792 -1.90828 1.95906 -1.98974 2.00000 -1.98974 1.95906 -1.90828 1.83792 -1.74869 1.64153 -1.51752 1.37793 -1.22421 1.05793 -0.88079 0.69461 -0.50131 0.30286 -0.10130 0.00000 -2.00000 0.10130 -0.30286 0.50131 -0.69461 0.88079 -1.05793 1.22421 -1.37793 1.51752 -1.64153 1.74869 -1.83792 1.90828 -1.95906 1.98974 -2.00000 1.98974 -1.95906 1.90828 -1.83792 1.74869 -1.64153 1.51752 -1.37793 1.22421 -1.05793 0.88079 -0.69461 0.50131 -0.30286 0.10130 0.10130 -0.30286 0.50131 -0.69461 0.88079 -1.05793 1.22421 -1.37793 1.51752 -1.64153 1.74869 -1.83792 1.90828 -1.95906 1.98974 0.00000 ... ... ..... ....... ......... ........... ............. E46u 2.00000 -1.99886 1.99544 -1.98974 1.98177 -1.97154 1.95906 -1.94434 1.92741 -1.90828 1.88697 -1.86351 1.83792 -1.81023 1.78048 -1.74869 1.71491 -1.67918 1.64153 -1.60200 1.56065 -1.51752 1.47265 -1.42611 1.37793 -1.32819 1.27693 -1.22421 1.17010 -1.11465 1.05793 -1.00000 0.94093 -0.88079 0.81964 -0.75756 0.69461 -0.63087 0.56641 -0.50131 0.43563 -0.36945 0.30286 -0.23591 0.16870 -0.10130 0.03378 0.00000 -2.00000 -0.03378 0.10130 -0.16870 0.23591 -0.30286 0.36945 -0.43563 0.50131 -0.56641 0.63087 -0.69461 0.75756 -0.81964 0.88079 -0.94093 1.00000 -1.05793 1.11465 -1.17010 1.22421 -1.27693 1.32819 -1.37793 1.42611 -1.47265 1.51752 -1.56065 1.60200 -1.64153 1.67918 -1.71491 1.74869 -1.78048 1.81023 -1.83792 1.86351 -1.88697 1.90828 -1.92741 1.94434 -1.95906 1.97154 -1.98177 1.98974 -1.99544 1.99886 0.00000 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.998858981859 = 2*cos(2*π/186) = 2*cos(π/93) 1.995437229360 = 2*cos(4*π/186) = 2*cos(2*π/93) 1.989738646784 = 2*cos(6*π/186) = 2*cos(π/31) 1.981769736316 = 2*cos(8*π/186) = 2*cos(4*π/93) 1.971539590630 = 2*cos(10*π/186) = 2*cos(5*π/93) 1.959059882505 = 2*cos(12*π/186) = 2*cos(2*π/31) 1.944344851516 = 2*cos(14*π/186) = 2*cos(7*π/93) 1.927411287780 = 2*cos(16*π/186) = 2*cos(8*π/93) 1.908278512800 = 2*cos(18*π/186) = 2*cos(3*π/31) 1.886968357420 = 2*cos(20*π/186) = 2*cos(10*π/93) 1.863505136913 = 2*cos(22*π/186) = 2*cos(11*π/93) 1.837915623240 = 2*cos(24*π/186) = 2*cos(4*π/31) 1.810229014501 = 2*cos(26*π/186) = 2*cos(13*π/93) 1.780476901617 = 2*cos(28*π/186) = 2*cos(14*π/93) 1.748693232289 = 2*cos(30*π/186) = 2*cos(5*π/31) 1.714914272261 = 2*cos(32*π/186) = 2*cos(16*π/93) 1.679178563939 = 2*cos(34*π/186) = 2*cos(17*π/93) 1.641526882415 = 2*cos(36*π/186) = 2*cos(6*π/31) 1.602002188939 = 2*cos(38*π/186) = 2*cos(19*π/93) 1.560649581904 = 2*cos(40*π/186) = 2*cos(20*π/93) 1.517516245386 = 2*cos(42*π/186) = 2*cos(7*π/31) 1.472651395302 = 2*cos(44*π/186) = 2*cos(22*π/93) 1.426106223262 = 2*cos(46*π/186) = 2*cos(23*π/93) 1.377933838151 = 2*cos(48*π/186) = 2*cos(8*π/31) 1.328189205534 = 2*cos(50*π/186) = 2*cos(25*π/93) 1.276929084940 = 2*cos(52*π/186) = 2*cos(26*π/93) 1.224211965095 = 2*cos(54*π/186) = 2*cos(9*π/31) 1.170097997191 = 2*cos(56*π/186) = 2*cos(28*π/93) 1.114648926245 = 2*cos(58*π/186) = 2*cos(29*π/93) 1.057928020654 = 2*cos(60*π/186) = 2*cos(10*π/31) 0.940930961206 = 2*cos(64*π/186) = 2*cos(32*π/93) 0.880788303115 = 2*cos(66*π/186) = 2*cos(11*π/31) 0.819640649593 = 2*cos(68*π/186) = 2*cos(34*π/93) 0.757557771221 = 2*cos(70*π/186) = 2*cos(35*π/93) 0.694610505690 = 2*cos(72*π/186) = 2*cos(12*π/31) 0.630870676971 = 2*cos(74*π/186) = 2*cos(37*π/93) 0.566411013365 = 2*cos(76*π/186) = 2*cos(38*π/93) 0.501305064517 = 2*cos(78*π/186) = 2*cos(13*π/31) 0.435627117498 = 2*cos(80*π/186) = 2*cos(40*π/93) 0.369452112034 = 2*cos(82*π/186) = 2*cos(41*π/93) 0.302855555009 = 2*cos(84*π/186) = 2*cos(14*π/31) 0.235913434302 = 2*cos(86*π/186) = 2*cos(43*π/93) 0.168702132086 = 2*cos(88*π/186) = 2*cos(44*π/93) 0.101298337677 = 2*cos(90*π/186) = 2*cos(15*π/31) 0.033778960028 = 2*cos(92*π/186) = 2*cos(46*π/93) 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_93d point group is 372, and the order of the principal axis (S₁₈₆) is 186. The group has 96 irreducible representations. β The D_93d point group is isomorphic to D_93h, C_186v and D₁₈₆. γ The D_93d point group is generated by two symmetry elements, S₁₈₆ and either a perpendicular C₂^′ or a vertical σ_d. Also, the group may be generated from a C₂^′ plus a σ_d (some pairs will yield smaller groups, though; choosing a minimum angle is safe). The canonical choice, however, is to use redundant generators: C₉₃, C₂^′ and i. δ The group contains one set of C₂^′ symmetry axes perpendicular to the principal (z) axis. The x axis (but not the y axis) is a member of that set. Reversely, the single set of symmetry planes denoted σ_d contains the yz plane but not the xz plane. ε The lowest nonvanishing multipole moment in D_93d 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. For this group, however, none of the irrational characters can be expressed by a closed algebraic form using real numbers only.

This Character Table for the D_93d point group was created by Gernot Katzer.

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

	D_91d
	D_92d
C₉₃ C_93v C_93h D₉₃ D_93h	D_93d
	D_94d
	D_95d

Character table for the D93d point group

Character table for the D_93d point group