Character Table for Point Group D91d

Character table for the D_91d point group

D91d E 2 C91 2 C91^2 2 C91^3 2 C91^4 2 C91^5 2 C91^6 2 C13 2 C91^8 2 C91^9 2 C91^10 2 C91^11 2 C91^12 2 C7 2 C13^2 2 C91^15 2 C91^16 2 C91^17 2 C91^18 2 C91^19 2 C91^20 2 C13^3 2 C91^22 2 C91^23 2 C91^24 2 C91^25 2 C7^2 2 C91^27 2 C13^4 2 C91^29 2 C91^30 2 C91^31 2 C91^32 2 C91^33 2 C91^34 2 C13^5 2 C91^36 2 C91^37 2 C91^38 2 C7^3 2 C91^40 2 C91^41 2 C13^6 2 C91^43 2 C91^44 2 C91^45 91 C2' i 2 S182 2 S182^3 2 S182^5 2 S26 2 S182^9 2 S182^11 2 S14 2 S182^15 2 S182^17 2 S182^19 2 S26^3 2 S182^23 2 S182^25 2 S182^27 2 S182^29 2 S182^31 2 S182^33 2 S26^5 2 S182^37 2 S14^3 2 S182^41 2 S182^43 2 S182^45 2 S182^47 2 S26^7 2 S182^51 2 S182^53 2 S182^55 2 S182^57 2 S182^59 2 S182^61 2 S26^9 2 S14^5 2 S182^67 2 S182^69 2 S182^71 2 S182^73 2 S182^75 2 S26^11 2 S182^79 2 S182^81 2 S182^83 2 S182^85 2 S182^87 2 S182^89 91 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 ... ... ....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 ..T ... ..... ....... ......... ........... ............. E1g 2.00000 1.99523 1.98096 1.95725 1.92421 1.88200 1.83082 1.77091 1.70257 1.62611 1.54191 1.45035 1.35189 1.24698 1.13613 1.01987 0.89874 0.77333 0.64424 0.51208 0.37748 0.24107 0.10352 -0.03452 -0.17240 -0.30946 -0.44504 -0.57850 -0.70921 -0.83654 -0.95987 -1.07864 -1.19226 -1.30021 -1.40196 -1.49702 -1.58495 -1.66533 -1.73778 -1.80194 -1.85751 -1.90424 -1.94188 -1.97028 -1.98928 -1.99881 0.00000 2.00000 -1.99881 -1.98928 -1.97028 -1.94188 -1.90424 -1.85751 -1.80194 -1.73778 -1.66533 -1.58495 -1.49702 -1.40196 -1.30021 -1.19226 -1.07864 -0.95987 -0.83654 -0.70921 -0.57850 -0.44504 -0.30946 -0.17240 -0.03452 0.10352 0.24107 0.37748 0.51208 0.64424 0.77333 0.89874 1.01987 1.13613 1.24698 1.35189 1.45035 1.54191 1.62611 1.70257 1.77091 1.83082 1.88200 1.92421 1.95725 1.98096 1.99523 0.00000 TT. ... ..TT. ....... ......TT. ........... ..........TT. E2g 2.00000 1.98096 1.92421 1.83082 1.70257 1.54191 1.35189 1.13613 0.89874 0.64424 0.37748 0.10352 -0.17240 -0.44504 -0.70921 -0.95987 -1.19226 -1.40196 -1.58495 -1.73778 -1.85751 -1.94188 -1.98928 -1.99881 -1.97028 -1.90424 -1.80194 -1.66533 -1.49702 -1.30021 -1.07864 -0.83654 -0.57850 -0.30946 -0.03452 0.24107 0.51208 0.77333 1.01987 1.24698 1.45035 1.62611 1.77091 1.88200 1.95725 1.99523 0.00000 2.00000 1.99523 1.95725 1.88200 1.77091 1.62611 1.45035 1.24698 1.01987 0.77333 0.51208 0.24107 -0.03452 -0.30946 -0.57850 -0.83654 -1.07864 -1.30021 -1.49702 -1.66533 -1.80194 -1.90424 -1.97028 -1.99881 -1.98928 -1.94188 -1.85751 -1.73778 -1.58495 -1.40196 -1.19226 -0.95987 -0.70921 -0.44504 -0.17240 0.10352 0.37748 0.64424 0.89874 1.13613 1.35189 1.54191 1.70257 1.83082 1.92421 1.98096 0.00000 ... ... TT... ....... ....TT... ........... ........TT... E3g 2.00000 1.95725 1.83082 1.62611 1.35189 1.01987 0.64424 0.24107 -0.17240 -0.57850 -0.95987 -1.30021 -1.58495 -1.80194 -1.94188 -1.99881 -1.97028 -1.85751 -1.66533 -1.40196 -1.07864 -0.70921 -0.30946 0.10352 0.51208 0.89874 1.24698 1.54191 1.77091 1.92421 1.99523 1.98096 1.88200 1.70257 1.45035 1.13613 0.77333 0.37748 -0.03452 -0.44504 -0.83654 -1.19226 -1.49702 -1.73778 -1.90424 -1.98928 0.00000 2.00000 -1.98928 -1.90424 -1.73778 -1.49702 -1.19226 -0.83654 -0.44504 -0.03452 0.37748 0.77333 1.13613 1.45035 1.70257 1.88200 1.98096 1.99523 1.92421 1.77091 1.54191 1.24698 0.89874 0.51208 0.10352 -0.30946 -0.70921 -1.07864 -1.40196 -1.66533 -1.85751 -1.97028 -1.99881 -1.94188 -1.80194 -1.58495 -1.30021 -0.95987 -0.57850 -0.17240 0.24107 0.64424 1.01987 1.35189 1.62611 1.83082 1.95725 0.00000 ... ... ..... ....... ..TT..... ........... ......TT..... E4g 2.00000 1.92421 1.70257 1.35189 0.89874 0.37748 -0.17240 -0.70921 -1.19226 -1.58495 -1.85751 -1.98928 -1.97028 -1.80194 -1.49702 -1.07864 -0.57850 -0.03452 0.51208 1.01987 1.45035 1.77091 1.95725 1.99523 1.88200 1.62611 1.24698 0.77333 0.24107 -0.30946 -0.83654 -1.30021 -1.66533 -1.90424 -1.99881 -1.94188 -1.73778 -1.40196 -0.95987 -0.44504 0.10352 0.64424 1.13613 1.54191 1.83082 1.98096 0.00000 2.00000 1.98096 1.83082 1.54191 1.13613 0.64424 0.10352 -0.44504 -0.95987 -1.40196 -1.73778 -1.94188 -1.99881 -1.90424 -1.66533 -1.30021 -0.83654 -0.30946 0.24107 0.77333 1.24698 1.62611 1.88200 1.99523 1.95725 1.77091 1.45035 1.01987 0.51208 -0.03452 -0.57850 -1.07864 -1.49702 -1.80194 -1.97028 -1.98928 -1.85751 -1.58495 -1.19226 -0.70921 -0.17240 0.37748 0.89874 1.35189 1.70257 1.92421 0.00000 ... ... ..... ....... TT....... ........... ....TT....... E5g 2.00000 1.88200 1.54191 1.01987 0.37748 -0.30946 -0.95987 -1.49702 -1.85751 -1.99881 -1.90424 -1.58495 -1.07864 -0.44504 0.24107 0.89874 1.45035 1.83082 1.99523 1.92421 1.62611 1.13613 0.51208 -0.17240 -0.83654 -1.40196 -1.80194 -1.98928 -1.94188 -1.66533 -1.19226 -0.57850 0.10352 0.77333 1.35189 1.77091 1.98096 1.95725 1.70257 1.24698 0.64424 -0.03452 -0.70921 -1.30021 -1.73778 -1.97028 0.00000 2.00000 -1.97028 -1.73778 -1.30021 -0.70921 -0.03452 0.64424 1.24698 1.70257 1.95725 1.98096 1.77091 1.35189 0.77333 0.10352 -0.57850 -1.19226 -1.66533 -1.94188 -1.98928 -1.80194 -1.40196 -0.83654 -0.17240 0.51208 1.13613 1.62611 1.92421 1.99523 1.83082 1.45035 0.89874 0.24107 -0.44504 -1.07864 -1.58495 -1.90424 -1.99881 -1.85751 -1.49702 -0.95987 -0.30946 0.37748 1.01987 1.54191 1.88200 0.00000 ... ... ..... ....... ......... ........... ..TT......... E6g 2.00000 1.83082 1.35189 0.64424 -0.17240 -0.95987 -1.58495 -1.94188 -1.97028 -1.66533 -1.07864 -0.30946 0.51208 1.24698 1.77091 1.99523 1.88200 1.45035 0.77333 -0.03452 -0.83654 -1.49702 -1.90424 -1.98928 -1.73778 -1.19226 -0.44504 0.37748 1.13613 1.70257 1.98096 1.92421 1.54191 0.89874 0.10352 -0.70921 -1.40196 -1.85751 -1.99881 -1.80194 -1.30021 -0.57850 0.24107 1.01987 1.62611 1.95725 0.00000 2.00000 1.95725 1.62611 1.01987 0.24107 -0.57850 -1.30021 -1.80194 -1.99881 -1.85751 -1.40196 -0.70921 0.10352 0.89874 1.54191 1.92421 1.98096 1.70257 1.13613 0.37748 -0.44504 -1.19226 -1.73778 -1.98928 -1.90424 -1.49702 -0.83654 -0.03452 0.77333 1.45035 1.88200 1.99523 1.77091 1.24698 0.51208 -0.30946 -1.07864 -1.66533 -1.97028 -1.94188 -1.58495 -0.95987 -0.17240 0.64424 1.35189 1.83082 0.00000 ... ... ..... ....... ......... ........... TT........... E7g 2.00000 1.77091 1.13613 0.24107 -0.70921 -1.49702 -1.94188 -1.94188 -1.49702 -0.70921 0.24107 1.13613 1.77091 2.00000 1.77091 1.13613 0.24107 -0.70921 -1.49702 -1.94188 -1.94188 -1.49702 -0.70921 0.24107 1.13613 1.77091 2.00000 1.77091 1.13613 0.24107 -0.70921 -1.49702 -1.94188 -1.94188 -1.49702 -0.70921 0.24107 1.13613 1.77091 2.00000 1.77091 1.13613 0.24107 -0.70921 -1.49702 -1.94188 0.00000 2.00000 -1.94188 -1.49702 -0.70921 0.24107 1.13613 1.77091 2.00000 1.77091 1.13613 0.24107 -0.70921 -1.49702 -1.94188 -1.94188 -1.49702 -0.70921 0.24107 1.13613 1.77091 2.00000 1.77091 1.13613 0.24107 -0.70921 -1.49702 -1.94188 -1.94188 -1.49702 -0.70921 0.24107 1.13613 1.77091 2.00000 1.77091 1.13613 0.24107 -0.70921 -1.49702 -1.94188 -1.94188 -1.49702 -0.70921 0.24107 1.13613 1.77091 0.00000 ... ... ..... ....... ......... ........... ............. E8g 2.00000 1.70257 0.89874 -0.17240 -1.19226 -1.85751 -1.97028 -1.49702 -0.57850 0.51208 1.45035 1.95725 1.88200 1.24698 0.24107 -0.83654 -1.66533 -1.99881 -1.73778 -0.95987 0.10352 1.13613 1.83082 1.98096 1.54191 0.64424 -0.44504 -1.40196 -1.94188 -1.90424 -1.30021 -0.30946 0.77333 1.62611 1.99523 1.77091 1.01987 -0.03452 -1.07864 -1.80194 -1.98928 -1.58495 -0.70921 0.37748 1.35189 1.92421 0.00000 2.00000 1.92421 1.35189 0.37748 -0.70921 -1.58495 -1.98928 -1.80194 -1.07864 -0.03452 1.01987 1.77091 1.99523 1.62611 0.77333 -0.30946 -1.30021 -1.90424 -1.94188 -1.40196 -0.44504 0.64424 1.54191 1.98096 1.83082 1.13613 0.10352 -0.95987 -1.73778 -1.99881 -1.66533 -0.83654 0.24107 1.24698 1.88200 1.95725 1.45035 0.51208 -0.57850 -1.49702 -1.97028 -1.85751 -1.19226 -0.17240 0.89874 1.70257 0.00000 ... ... ..... ....... ......... ........... ............. E9g 2.00000 1.62611 0.64424 -0.57850 -1.58495 -1.99881 -1.66533 -0.70921 0.51208 1.54191 1.99523 1.70257 0.77333 -0.44504 -1.49702 -1.98928 -1.73778 -0.83654 0.37748 1.45035 1.98096 1.77091 0.89874 -0.30946 -1.40196 -1.97028 -1.80194 -0.95987 0.24107 1.35189 1.95725 1.83082 1.01987 -0.17240 -1.30021 -1.94188 -1.85751 -1.07864 0.10352 1.24698 1.92421 1.88200 1.13613 -0.03452 -1.19226 -1.90424 0.00000 2.00000 -1.90424 -1.19226 -0.03452 1.13613 1.88200 1.92421 1.24698 0.10352 -1.07864 -1.85751 -1.94188 -1.30021 -0.17240 1.01987 1.83082 1.95725 1.35189 0.24107 -0.95987 -1.80194 -1.97028 -1.40196 -0.30946 0.89874 1.77091 1.98096 1.45035 0.37748 -0.83654 -1.73778 -1.98928 -1.49702 -0.44504 0.77333 1.70257 1.99523 1.54191 0.51208 -0.70921 -1.66533 -1.99881 -1.58495 -0.57850 0.64424 1.62611 0.00000 ... ... ..... ....... ......... ........... ............. E10g 2.00000 1.54191 0.37748 -0.95987 -1.85751 -1.90424 -1.07864 0.24107 1.45035 1.99523 1.62611 0.51208 -0.83654 -1.80194 -1.94188 -1.19226 0.10352 1.35189 1.98096 1.70257 0.64424 -0.70921 -1.73778 -1.97028 -1.30021 -0.03452 1.24698 1.95725 1.77091 0.77333 -0.57850 -1.66533 -1.98928 -1.40196 -0.17240 1.13613 1.92421 1.83082 0.89874 -0.44504 -1.58495 -1.99881 -1.49702 -0.30946 1.01987 1.88200 0.00000 2.00000 1.88200 1.01987 -0.30946 -1.49702 -1.99881 -1.58495 -0.44504 0.89874 1.83082 1.92421 1.13613 -0.17240 -1.40196 -1.98928 -1.66533 -0.57850 0.77333 1.77091 1.95725 1.24698 -0.03452 -1.30021 -1.97028 -1.73778 -0.70921 0.64424 1.70257 1.98096 1.35189 0.10352 -1.19226 -1.94188 -1.80194 -0.83654 0.51208 1.62611 1.99523 1.45035 0.24107 -1.07864 -1.90424 -1.85751 -0.95987 0.37748 1.54191 0.00000 ... ... ..... ....... ......... ........... ............. E11g 2.00000 1.45035 0.10352 -1.30021 -1.98928 -1.58495 -0.30946 1.13613 1.95725 1.70257 0.51208 -0.95987 -1.90424 -1.80194 -0.70921 0.77333 1.83082 1.88200 0.89874 -0.57850 -1.73778 -1.94188 -1.07864 0.37748 1.62611 1.98096 1.24698 -0.17240 -1.49702 -1.99881 -1.40196 -0.03452 1.35189 1.99523 1.54191 0.24107 -1.19226 -1.97028 -1.66533 -0.44504 1.01987 1.92421 1.77091 0.64424 -0.83654 -1.85751 0.00000 2.00000 -1.85751 -0.83654 0.64424 1.77091 1.92421 1.01987 -0.44504 -1.66533 -1.97028 -1.19226 0.24107 1.54191 1.99523 1.35189 -0.03452 -1.40196 -1.99881 -1.49702 -0.17240 1.24698 1.98096 1.62611 0.37748 -1.07864 -1.94188 -1.73778 -0.57850 0.89874 1.88200 1.83082 0.77333 -0.70921 -1.80194 -1.90424 -0.95987 0.51208 1.70257 1.95725 1.13613 -0.30946 -1.58495 -1.98928 -1.30021 0.10352 1.45035 0.00000 ... ... ..... ....... ......... ........... ............. E12g 2.00000 1.35189 -0.17240 -1.58495 -1.97028 -1.07864 0.51208 1.77091 1.88200 0.77333 -0.83654 -1.90424 -1.73778 -0.44504 1.13613 1.98096 1.54191 0.10352 -1.40196 -1.99881 -1.30021 0.24107 1.62611 1.95725 1.01987 -0.57850 -1.80194 -1.85751 -0.70921 0.89874 1.92421 1.70257 0.37748 -1.19226 -1.98928 -1.49702 -0.03452 1.45035 1.99523 1.24698 -0.30946 -1.66533 -1.94188 -0.95987 0.64424 1.83082 0.00000 2.00000 1.83082 0.64424 -0.95987 -1.94188 -1.66533 -0.30946 1.24698 1.99523 1.45035 -0.03452 -1.49702 -1.98928 -1.19226 0.37748 1.70257 1.92421 0.89874 -0.70921 -1.85751 -1.80194 -0.57850 1.01987 1.95725 1.62611 0.24107 -1.30021 -1.99881 -1.40196 0.10352 1.54191 1.98096 1.13613 -0.44504 -1.73778 -1.90424 -0.83654 0.77333 1.88200 1.77091 0.51208 -1.07864 -1.97028 -1.58495 -0.17240 1.35189 0.00000 ... ... ..... ....... ......... ........... ............. E13g 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 0.00000 2.00000 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 0.00000 ... ... ..... ....... ......... ........... ............. E14g 2.00000 1.13613 -0.70921 -1.94188 -1.49702 0.24107 1.77091 1.77091 0.24107 -1.49702 -1.94188 -0.70921 1.13613 2.00000 1.13613 -0.70921 -1.94188 -1.49702 0.24107 1.77091 1.77091 0.24107 -1.49702 -1.94188 -0.70921 1.13613 2.00000 1.13613 -0.70921 -1.94188 -1.49702 0.24107 1.77091 1.77091 0.24107 -1.49702 -1.94188 -0.70921 1.13613 2.00000 1.13613 -0.70921 -1.94188 -1.49702 0.24107 1.77091 0.00000 2.00000 1.77091 0.24107 -1.49702 -1.94188 -0.70921 1.13613 2.00000 1.13613 -0.70921 -1.94188 -1.49702 0.24107 1.77091 1.77091 0.24107 -1.49702 -1.94188 -0.70921 1.13613 2.00000 1.13613 -0.70921 -1.94188 -1.49702 0.24107 1.77091 1.77091 0.24107 -1.49702 -1.94188 -0.70921 1.13613 2.00000 1.13613 -0.70921 -1.94188 -1.49702 0.24107 1.77091 1.77091 0.24107 -1.49702 -1.94188 -0.70921 1.13613 0.00000 ... ... ..... ....... ......... ........... ............. E15g 2.00000 1.01987 -0.95987 -1.99881 -1.07864 0.89874 1.99523 1.13613 -0.83654 -1.98928 -1.19226 0.77333 1.98096 1.24698 -0.70921 -1.97028 -1.30021 0.64424 1.95725 1.35189 -0.57850 -1.94188 -1.40196 0.51208 1.92421 1.45035 -0.44504 -1.90424 -1.49702 0.37748 1.88200 1.54191 -0.30946 -1.85751 -1.58495 0.24107 1.83082 1.62611 -0.17240 -1.80194 -1.66533 0.10352 1.77091 1.70257 -0.03452 -1.73778 0.00000 2.00000 -1.73778 -0.03452 1.70257 1.77091 0.10352 -1.66533 -1.80194 -0.17240 1.62611 1.83082 0.24107 -1.58495 -1.85751 -0.30946 1.54191 1.88200 0.37748 -1.49702 -1.90424 -0.44504 1.45035 1.92421 0.51208 -1.40196 -1.94188 -0.57850 1.35189 1.95725 0.64424 -1.30021 -1.97028 -0.70921 1.24698 1.98096 0.77333 -1.19226 -1.98928 -0.83654 1.13613 1.99523 0.89874 -1.07864 -1.99881 -0.95987 1.01987 0.00000 ... ... ..... ....... ......... ........... ............. E16g 2.00000 0.89874 -1.19226 -1.97028 -0.57850 1.45035 1.88200 0.24107 -1.66533 -1.73778 0.10352 1.83082 1.54191 -0.44504 -1.94188 -1.30021 0.77333 1.99523 1.01987 -1.07864 -1.98928 -0.70921 1.35189 1.92421 0.37748 -1.58495 -1.80194 -0.03452 1.77091 1.62611 -0.30946 -1.90424 -1.40196 0.64424 1.98096 1.13613 -0.95987 -1.99881 -0.83654 1.24698 1.95725 0.51208 -1.49702 -1.85751 -0.17240 1.70257 0.00000 2.00000 1.70257 -0.17240 -1.85751 -1.49702 0.51208 1.95725 1.24698 -0.83654 -1.99881 -0.95987 1.13613 1.98096 0.64424 -1.40196 -1.90424 -0.30946 1.62611 1.77091 -0.03452 -1.80194 -1.58495 0.37748 1.92421 1.35189 -0.70921 -1.98928 -1.07864 1.01987 1.99523 0.77333 -1.30021 -1.94188 -0.44504 1.54191 1.83082 0.10352 -1.73778 -1.66533 0.24107 1.88200 1.45035 -0.57850 -1.97028 -1.19226 0.89874 0.00000 ... ... ..... ....... ......... ........... ............. E17g 2.00000 0.77333 -1.40196 -1.85751 -0.03452 1.83082 1.45035 -0.70921 -1.99881 -0.83654 1.35189 1.88200 0.10352 -1.80194 -1.49702 0.64424 1.99523 0.89874 -1.30021 -1.90424 -0.17240 1.77091 1.54191 -0.57850 -1.98928 -0.95987 1.24698 1.92421 0.24107 -1.73778 -1.58495 0.51208 1.98096 1.01987 -1.19226 -1.94188 -0.30946 1.70257 1.62611 -0.44504 -1.97028 -1.07864 1.13613 1.95725 0.37748 -1.66533 0.00000 2.00000 -1.66533 0.37748 1.95725 1.13613 -1.07864 -1.97028 -0.44504 1.62611 1.70257 -0.30946 -1.94188 -1.19226 1.01987 1.98096 0.51208 -1.58495 -1.73778 0.24107 1.92421 1.24698 -0.95987 -1.98928 -0.57850 1.54191 1.77091 -0.17240 -1.90424 -1.30021 0.89874 1.99523 0.64424 -1.49702 -1.80194 0.10352 1.88200 1.35189 -0.83654 -1.99881 -0.70921 1.45035 1.83082 -0.03452 -1.85751 -1.40196 0.77333 0.00000 ... ... ..... ....... ......... ........... ............. E18g 2.00000 0.64424 -1.58495 -1.66533 0.51208 1.99523 0.77333 -1.49702 -1.73778 0.37748 1.98096 0.89874 -1.40196 -1.80194 0.24107 1.95725 1.01987 -1.30021 -1.85751 0.10352 1.92421 1.13613 -1.19226 -1.90424 -0.03452 1.88200 1.24698 -1.07864 -1.94188 -0.17240 1.83082 1.35189 -0.95987 -1.97028 -0.30946 1.77091 1.45035 -0.83654 -1.98928 -0.44504 1.70257 1.54191 -0.70921 -1.99881 -0.57850 1.62611 0.00000 2.00000 1.62611 -0.57850 -1.99881 -0.70921 1.54191 1.70257 -0.44504 -1.98928 -0.83654 1.45035 1.77091 -0.30946 -1.97028 -0.95987 1.35189 1.83082 -0.17240 -1.94188 -1.07864 1.24698 1.88200 -0.03452 -1.90424 -1.19226 1.13613 1.92421 0.10352 -1.85751 -1.30021 1.01987 1.95725 0.24107 -1.80194 -1.40196 0.89874 1.98096 0.37748 -1.73778 -1.49702 0.77333 1.99523 0.51208 -1.66533 -1.58495 0.64424 0.00000 ... ... ..... ....... ......... ........... ............. E19g 2.00000 0.51208 -1.73778 -1.40196 1.01987 1.92421 -0.03452 -1.94188 -0.95987 1.45035 1.70257 -0.57850 -1.99881 -0.44504 1.77091 1.35189 -1.07864 -1.90424 0.10352 1.95725 0.89874 -1.49702 -1.66533 0.64424 1.99523 0.37748 -1.80194 -1.30021 1.13613 1.88200 -0.17240 -1.97028 -0.83654 1.54191 1.62611 -0.70921 -1.98928 -0.30946 1.83082 1.24698 -1.19226 -1.85751 0.24107 1.98096 0.77333 -1.58495 0.00000 2.00000 -1.58495 0.77333 1.98096 0.24107 -1.85751 -1.19226 1.24698 1.83082 -0.30946 -1.98928 -0.70921 1.62611 1.54191 -0.83654 -1.97028 -0.17240 1.88200 1.13613 -1.30021 -1.80194 0.37748 1.99523 0.64424 -1.66533 -1.49702 0.89874 1.95725 0.10352 -1.90424 -1.07864 1.35189 1.77091 -0.44504 -1.99881 -0.57850 1.70257 1.45035 -0.95987 -1.94188 -0.03452 1.92421 1.01987 -1.40196 -1.73778 0.51208 0.00000 ... ... ..... ....... ......... ........... ............. E20g 2.00000 0.37748 -1.85751 -1.07864 1.45035 1.62611 -0.83654 -1.94188 0.10352 1.98096 0.64424 -1.73778 -1.30021 1.24698 1.77091 -0.57850 -1.98928 -0.17240 1.92421 0.89874 -1.58495 -1.49702 1.01987 1.88200 -0.30946 -1.99881 -0.44504 1.83082 1.13613 -1.40196 -1.66533 0.77333 1.95725 -0.03452 -1.97028 -0.70921 1.70257 1.35189 -1.19226 -1.80194 0.51208 1.99523 0.24107 -1.90424 -0.95987 1.54191 0.00000 2.00000 1.54191 -0.95987 -1.90424 0.24107 1.99523 0.51208 -1.80194 -1.19226 1.35189 1.70257 -0.70921 -1.97028 -0.03452 1.95725 0.77333 -1.66533 -1.40196 1.13613 1.83082 -0.44504 -1.99881 -0.30946 1.88200 1.01987 -1.49702 -1.58495 0.89874 1.92421 -0.17240 -1.98928 -0.57850 1.77091 1.24698 -1.30021 -1.73778 0.64424 1.98096 0.10352 -1.94188 -0.83654 1.62611 1.45035 -1.07864 -1.85751 0.37748 0.00000 ... ... ..... ....... ......... ........... ............. E21g 2.00000 0.24107 -1.94188 -0.70921 1.77091 1.13613 -1.49702 -1.49702 1.13613 1.77091 -0.70921 -1.94188 0.24107 2.00000 0.24107 -1.94188 -0.70921 1.77091 1.13613 -1.49702 -1.49702 1.13613 1.77091 -0.70921 -1.94188 0.24107 2.00000 0.24107 -1.94188 -0.70921 1.77091 1.13613 -1.49702 -1.49702 1.13613 1.77091 -0.70921 -1.94188 0.24107 2.00000 0.24107 -1.94188 -0.70921 1.77091 1.13613 -1.49702 0.00000 2.00000 -1.49702 1.13613 1.77091 -0.70921 -1.94188 0.24107 2.00000 0.24107 -1.94188 -0.70921 1.77091 1.13613 -1.49702 -1.49702 1.13613 1.77091 -0.70921 -1.94188 0.24107 2.00000 0.24107 -1.94188 -0.70921 1.77091 1.13613 -1.49702 -1.49702 1.13613 1.77091 -0.70921 -1.94188 0.24107 2.00000 0.24107 -1.94188 -0.70921 1.77091 1.13613 -1.49702 -1.49702 1.13613 1.77091 -0.70921 -1.94188 0.24107 0.00000 ... ... ..... ....... ......... ........... ............. E22g 2.00000 0.10352 -1.98928 -0.30946 1.95725 0.51208 -1.90424 -0.70921 1.83082 0.89874 -1.73778 -1.07864 1.62611 1.24698 -1.49702 -1.40196 1.35189 1.54191 -1.19226 -1.66533 1.01987 1.77091 -0.83654 -1.85751 0.64424 1.92421 -0.44504 -1.97028 0.24107 1.99523 -0.03452 -1.99881 -0.17240 1.98096 0.37748 -1.94188 -0.57850 1.88200 0.77333 -1.80194 -0.95987 1.70257 1.13613 -1.58495 -1.30021 1.45035 0.00000 2.00000 1.45035 -1.30021 -1.58495 1.13613 1.70257 -0.95987 -1.80194 0.77333 1.88200 -0.57850 -1.94188 0.37748 1.98096 -0.17240 -1.99881 -0.03452 1.99523 0.24107 -1.97028 -0.44504 1.92421 0.64424 -1.85751 -0.83654 1.77091 1.01987 -1.66533 -1.19226 1.54191 1.35189 -1.40196 -1.49702 1.24698 1.62611 -1.07864 -1.73778 0.89874 1.83082 -0.70921 -1.90424 0.51208 1.95725 -0.30946 -1.98928 0.10352 0.00000 ... ... ..... ....... ......... ........... ............. E23g 2.00000 -0.03452 -1.99881 0.10352 1.99523 -0.17240 -1.98928 0.24107 1.98096 -0.30946 -1.97028 0.37748 1.95725 -0.44504 -1.94188 0.51208 1.92421 -0.57850 -1.90424 0.64424 1.88200 -0.70921 -1.85751 0.77333 1.83082 -0.83654 -1.80194 0.89874 1.77091 -0.95987 -1.73778 1.01987 1.70257 -1.07864 -1.66533 1.13613 1.62611 -1.19226 -1.58495 1.24698 1.54191 -1.30021 -1.49702 1.35189 1.45035 -1.40196 0.00000 2.00000 -1.40196 1.45035 1.35189 -1.49702 -1.30021 1.54191 1.24698 -1.58495 -1.19226 1.62611 1.13613 -1.66533 -1.07864 1.70257 1.01987 -1.73778 -0.95987 1.77091 0.89874 -1.80194 -0.83654 1.83082 0.77333 -1.85751 -0.70921 1.88200 0.64424 -1.90424 -0.57850 1.92421 0.51208 -1.94188 -0.44504 1.95725 0.37748 -1.97028 -0.30946 1.98096 0.24107 -1.98928 -0.17240 1.99523 0.10352 -1.99881 -0.03452 0.00000 ... ... ..... ....... ......... ........... ............. E24g 2.00000 -0.17240 -1.97028 0.51208 1.88200 -0.83654 -1.73778 1.13613 1.54191 -1.40196 -1.30021 1.62611 1.01987 -1.80194 -0.70921 1.92421 0.37748 -1.98928 -0.03452 1.99523 -0.30946 -1.94188 0.64424 1.83082 -0.95987 -1.66533 1.24698 1.45035 -1.49702 -1.19226 1.70257 0.89874 -1.85751 -0.57850 1.95725 0.24107 -1.99881 0.10352 1.98096 -0.44504 -1.90424 0.77333 1.77091 -1.07864 -1.58495 1.35189 0.00000 2.00000 1.35189 -1.58495 -1.07864 1.77091 0.77333 -1.90424 -0.44504 1.98096 0.10352 -1.99881 0.24107 1.95725 -0.57850 -1.85751 0.89874 1.70257 -1.19226 -1.49702 1.45035 1.24698 -1.66533 -0.95987 1.83082 0.64424 -1.94188 -0.30946 1.99523 -0.03452 -1.98928 0.37748 1.92421 -0.70921 -1.80194 1.01987 1.62611 -1.30021 -1.40196 1.54191 1.13613 -1.73778 -0.83654 1.88200 0.51208 -1.97028 -0.17240 0.00000 ... ... ..... ....... ......... ........... ............. E25g 2.00000 -0.30946 -1.90424 0.89874 1.62611 -1.40196 -1.19226 1.77091 0.64424 -1.97028 -0.03452 1.98096 -0.57850 -1.80194 1.13613 1.45035 -1.58495 -0.95987 1.88200 0.37748 -1.99881 0.24107 1.92421 -0.83654 -1.66533 1.35189 1.24698 -1.73778 -0.70921 1.95725 0.10352 -1.98928 0.51208 1.83082 -1.07864 -1.49702 1.54191 1.01987 -1.85751 -0.44504 1.99523 -0.17240 -1.94188 0.77333 1.70257 -1.30021 0.00000 2.00000 -1.30021 1.70257 0.77333 -1.94188 -0.17240 1.99523 -0.44504 -1.85751 1.01987 1.54191 -1.49702 -1.07864 1.83082 0.51208 -1.98928 0.10352 1.95725 -0.70921 -1.73778 1.24698 1.35189 -1.66533 -0.83654 1.92421 0.24107 -1.99881 0.37748 1.88200 -0.95987 -1.58495 1.45035 1.13613 -1.80194 -0.57850 1.98096 -0.03452 -1.97028 0.64424 1.77091 -1.19226 -1.40196 1.62611 0.89874 -1.90424 -0.30946 0.00000 ... ... ..... ....... ......... ........... ............. E26g 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 0.00000 2.00000 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 0.00000 ... ... ..... ....... ......... ........... ............. E27g 2.00000 -0.57850 -1.66533 1.54191 0.77333 -1.98928 0.37748 1.77091 -1.40196 -0.95987 1.95725 -0.17240 -1.85751 1.24698 1.13613 -1.90424 -0.03452 1.92421 -1.07864 -1.30021 1.83082 0.24107 -1.97028 0.89874 1.45035 -1.73778 -0.44504 1.99523 -0.70921 -1.58495 1.62611 0.64424 -1.99881 0.51208 1.70257 -1.49702 -0.83654 1.98096 -0.30946 -1.80194 1.35189 1.01987 -1.94188 0.10352 1.88200 -1.19226 0.00000 2.00000 -1.19226 1.88200 0.10352 -1.94188 1.01987 1.35189 -1.80194 -0.30946 1.98096 -0.83654 -1.49702 1.70257 0.51208 -1.99881 0.64424 1.62611 -1.58495 -0.70921 1.99523 -0.44504 -1.73778 1.45035 0.89874 -1.97028 0.24107 1.83082 -1.30021 -1.07864 1.92421 -0.03452 -1.90424 1.13613 1.24698 -1.85751 -0.17240 1.95725 -0.95987 -1.40196 1.77091 0.37748 -1.98928 0.77333 1.54191 -1.66533 -0.57850 0.00000 ... ... ..... ....... ......... ........... ............. E28g 2.00000 -0.70921 -1.49702 1.77091 0.24107 -1.94188 1.13613 1.13613 -1.94188 0.24107 1.77091 -1.49702 -0.70921 2.00000 -0.70921 -1.49702 1.77091 0.24107 -1.94188 1.13613 1.13613 -1.94188 0.24107 1.77091 -1.49702 -0.70921 2.00000 -0.70921 -1.49702 1.77091 0.24107 -1.94188 1.13613 1.13613 -1.94188 0.24107 1.77091 -1.49702 -0.70921 2.00000 -0.70921 -1.49702 1.77091 0.24107 -1.94188 1.13613 0.00000 2.00000 1.13613 -1.94188 0.24107 1.77091 -1.49702 -0.70921 2.00000 -0.70921 -1.49702 1.77091 0.24107 -1.94188 1.13613 1.13613 -1.94188 0.24107 1.77091 -1.49702 -0.70921 2.00000 -0.70921 -1.49702 1.77091 0.24107 -1.94188 1.13613 1.13613 -1.94188 0.24107 1.77091 -1.49702 -0.70921 2.00000 -0.70921 -1.49702 1.77091 0.24107 -1.94188 1.13613 1.13613 -1.94188 0.24107 1.77091 -1.49702 -0.70921 0.00000 ... ... ..... ....... ......... ........... ............. E29g 2.00000 -0.83654 -1.30021 1.92421 -0.30946 -1.66533 1.70257 0.24107 -1.90424 1.35189 0.77333 -1.99881 0.89874 1.24698 -1.94188 0.37748 1.62611 -1.73778 -0.17240 1.88200 -1.40196 -0.70921 1.99523 -0.95987 -1.19226 1.95725 -0.44504 -1.58495 1.77091 0.10352 -1.85751 1.45035 0.64424 -1.98928 1.01987 1.13613 -1.97028 0.51208 1.54191 -1.80194 -0.03452 1.83082 -1.49702 -0.57850 1.98096 -1.07864 0.00000 2.00000 -1.07864 1.98096 -0.57850 -1.49702 1.83082 -0.03452 -1.80194 1.54191 0.51208 -1.97028 1.13613 1.01987 -1.98928 0.64424 1.45035 -1.85751 0.10352 1.77091 -1.58495 -0.44504 1.95725 -1.19226 -0.95987 1.99523 -0.70921 -1.40196 1.88200 -0.17240 -1.73778 1.62611 0.37748 -1.94188 1.24698 0.89874 -1.99881 0.77333 1.35189 -1.90424 0.24107 1.70257 -1.66533 -0.30946 1.92421 -1.30021 -0.83654 0.00000 ... ... ..... ....... ......... ........... ............. E30g 2.00000 -0.95987 -1.07864 1.99523 -0.83654 -1.19226 1.98096 -0.70921 -1.30021 1.95725 -0.57850 -1.40196 1.92421 -0.44504 -1.49702 1.88200 -0.30946 -1.58495 1.83082 -0.17240 -1.66533 1.77091 -0.03452 -1.73778 1.70257 0.10352 -1.80194 1.62611 0.24107 -1.85751 1.54191 0.37748 -1.90424 1.45035 0.51208 -1.94188 1.35189 0.64424 -1.97028 1.24698 0.77333 -1.98928 1.13613 0.89874 -1.99881 1.01987 0.00000 2.00000 1.01987 -1.99881 0.89874 1.13613 -1.98928 0.77333 1.24698 -1.97028 0.64424 1.35189 -1.94188 0.51208 1.45035 -1.90424 0.37748 1.54191 -1.85751 0.24107 1.62611 -1.80194 0.10352 1.70257 -1.73778 -0.03452 1.77091 -1.66533 -0.17240 1.83082 -1.58495 -0.30946 1.88200 -1.49702 -0.44504 1.92421 -1.40196 -0.57850 1.95725 -1.30021 -0.70921 1.98096 -1.19226 -0.83654 1.99523 -1.07864 -0.95987 0.00000 ... ... ..... ....... ......... ........... ............. E31g 2.00000 -1.07864 -0.83654 1.98096 -1.30021 -0.57850 1.92421 -1.49702 -0.30946 1.83082 -1.66533 -0.03452 1.70257 -1.80194 0.24107 1.54191 -1.90424 0.51208 1.35189 -1.97028 0.77333 1.13613 -1.99881 1.01987 0.89874 -1.98928 1.24698 0.64424 -1.94188 1.45035 0.37748 -1.85751 1.62611 0.10352 -1.73778 1.77091 -0.17240 -1.58495 1.88200 -0.44504 -1.40196 1.95725 -0.70921 -1.19226 1.99523 -0.95987 0.00000 2.00000 -0.95987 1.99523 -1.19226 -0.70921 1.95725 -1.40196 -0.44504 1.88200 -1.58495 -0.17240 1.77091 -1.73778 0.10352 1.62611 -1.85751 0.37748 1.45035 -1.94188 0.64424 1.24698 -1.98928 0.89874 1.01987 -1.99881 1.13613 0.77333 -1.97028 1.35189 0.51208 -1.90424 1.54191 0.24107 -1.80194 1.70257 -0.03452 -1.66533 1.83082 -0.30946 -1.49702 1.92421 -0.57850 -1.30021 1.98096 -0.83654 -1.07864 0.00000 ... ... ..... ....... ......... ........... ............. E32g 2.00000 -1.19226 -0.57850 1.88200 -1.66533 0.10352 1.54191 -1.94188 0.77333 1.01987 -1.98928 1.35189 0.37748 -1.80194 1.77091 -0.30946 -1.40196 1.98096 -0.95987 -0.83654 1.95725 -1.49702 -0.17240 1.70257 -1.85751 0.51208 1.24698 -1.99881 1.13613 0.64424 -1.90424 1.62611 -0.03452 -1.58495 1.92421 -0.70921 -1.07864 1.99523 -1.30021 -0.44504 1.83082 -1.73778 0.24107 1.45035 -1.97028 0.89874 0.00000 2.00000 0.89874 -1.97028 1.45035 0.24107 -1.73778 1.83082 -0.44504 -1.30021 1.99523 -1.07864 -0.70921 1.92421 -1.58495 -0.03452 1.62611 -1.90424 0.64424 1.13613 -1.99881 1.24698 0.51208 -1.85751 1.70257 -0.17240 -1.49702 1.95725 -0.83654 -0.95987 1.98096 -1.40196 -0.30946 1.77091 -1.80194 0.37748 1.35189 -1.98928 1.01987 0.77333 -1.94188 1.54191 0.10352 -1.66533 1.88200 -0.57850 -1.19226 0.00000 ... ... ..... ....... ......... ........... ............. E33g 2.00000 -1.30021 -0.30946 1.70257 -1.90424 0.77333 0.89874 -1.94188 1.62611 -0.17240 -1.40196 1.99523 -1.19226 -0.44504 1.77091 -1.85751 0.64424 1.01987 -1.97028 1.54191 -0.03452 -1.49702 1.98096 -1.07864 -0.57850 1.83082 -1.80194 0.51208 1.13613 -1.98928 1.45035 0.10352 -1.58495 1.95725 -0.95987 -0.70921 1.88200 -1.73778 0.37748 1.24698 -1.99881 1.35189 0.24107 -1.66533 1.92421 -0.83654 0.00000 2.00000 -0.83654 1.92421 -1.66533 0.24107 1.35189 -1.99881 1.24698 0.37748 -1.73778 1.88200 -0.70921 -0.95987 1.95725 -1.58495 0.10352 1.45035 -1.98928 1.13613 0.51208 -1.80194 1.83082 -0.57850 -1.07864 1.98096 -1.49702 -0.03452 1.54191 -1.97028 1.01987 0.64424 -1.85751 1.77091 -0.44504 -1.19226 1.99523 -1.40196 -0.17240 1.62611 -1.94188 0.89874 0.77333 -1.90424 1.70257 -0.30946 -1.30021 0.00000 ... ... ..... ....... ......... ........... ............. E34g 2.00000 -1.40196 -0.03452 1.45035 -1.99881 1.35189 0.10352 -1.49702 1.99523 -1.30021 -0.17240 1.54191 -1.98928 1.24698 0.24107 -1.58495 1.98096 -1.19226 -0.30946 1.62611 -1.97028 1.13613 0.37748 -1.66533 1.95725 -1.07864 -0.44504 1.70257 -1.94188 1.01987 0.51208 -1.73778 1.92421 -0.95987 -0.57850 1.77091 -1.90424 0.89874 0.64424 -1.80194 1.88200 -0.83654 -0.70921 1.83082 -1.85751 0.77333 0.00000 2.00000 0.77333 -1.85751 1.83082 -0.70921 -0.83654 1.88200 -1.80194 0.64424 0.89874 -1.90424 1.77091 -0.57850 -0.95987 1.92421 -1.73778 0.51208 1.01987 -1.94188 1.70257 -0.44504 -1.07864 1.95725 -1.66533 0.37748 1.13613 -1.97028 1.62611 -0.30946 -1.19226 1.98096 -1.58495 0.24107 1.24698 -1.98928 1.54191 -0.17240 -1.30021 1.99523 -1.49702 0.10352 1.35189 -1.99881 1.45035 -0.03452 -1.40196 0.00000 ... ... ..... ....... ......... ........... ............. E35g 2.00000 -1.49702 0.24107 1.13613 -1.94188 1.77091 -0.70921 -0.70921 1.77091 -1.94188 1.13613 0.24107 -1.49702 2.00000 -1.49702 0.24107 1.13613 -1.94188 1.77091 -0.70921 -0.70921 1.77091 -1.94188 1.13613 0.24107 -1.49702 2.00000 -1.49702 0.24107 1.13613 -1.94188 1.77091 -0.70921 -0.70921 1.77091 -1.94188 1.13613 0.24107 -1.49702 2.00000 -1.49702 0.24107 1.13613 -1.94188 1.77091 -0.70921 0.00000 2.00000 -0.70921 1.77091 -1.94188 1.13613 0.24107 -1.49702 2.00000 -1.49702 0.24107 1.13613 -1.94188 1.77091 -0.70921 -0.70921 1.77091 -1.94188 1.13613 0.24107 -1.49702 2.00000 -1.49702 0.24107 1.13613 -1.94188 1.77091 -0.70921 -0.70921 1.77091 -1.94188 1.13613 0.24107 -1.49702 2.00000 -1.49702 0.24107 1.13613 -1.94188 1.77091 -0.70921 -0.70921 1.77091 -1.94188 1.13613 0.24107 -1.49702 0.00000 ... ... ..... ....... ......... ........... ............. E36g 2.00000 -1.58495 0.51208 0.77333 -1.73778 1.98096 -1.40196 0.24107 1.01987 -1.85751 1.92421 -1.19226 -0.03452 1.24698 -1.94188 1.83082 -0.95987 -0.30946 1.45035 -1.98928 1.70257 -0.70921 -0.57850 1.62611 -1.99881 1.54191 -0.44504 -0.83654 1.77091 -1.97028 1.35189 -0.17240 -1.07864 1.88200 -1.90424 1.13613 0.10352 -1.30021 1.95725 -1.80194 0.89874 0.37748 -1.49702 1.99523 -1.66533 0.64424 0.00000 2.00000 0.64424 -1.66533 1.99523 -1.49702 0.37748 0.89874 -1.80194 1.95725 -1.30021 0.10352 1.13613 -1.90424 1.88200 -1.07864 -0.17240 1.35189 -1.97028 1.77091 -0.83654 -0.44504 1.54191 -1.99881 1.62611 -0.57850 -0.70921 1.70257 -1.98928 1.45035 -0.30946 -0.95987 1.83082 -1.94188 1.24698 -0.03452 -1.19226 1.92421 -1.85751 1.01987 0.24107 -1.40196 1.98096 -1.73778 0.77333 0.51208 -1.58495 0.00000 ... ... ..... ....... ......... ........... ............. E37g 2.00000 -1.66533 0.77333 0.37748 -1.40196 1.95725 -1.85751 1.13613 -0.03452 -1.07864 1.83082 -1.97028 1.45035 -0.44504 -0.70921 1.62611 -1.99881 1.70257 -0.83654 -0.30946 1.35189 -1.94188 1.88200 -1.19226 0.10352 1.01987 -1.80194 1.98096 -1.49702 0.51208 0.64424 -1.58495 1.99523 -1.73778 0.89874 0.24107 -1.30021 1.92421 -1.90424 1.24698 -0.17240 -0.95987 1.77091 -1.98928 1.54191 -0.57850 0.00000 2.00000 -0.57850 1.54191 -1.98928 1.77091 -0.95987 -0.17240 1.24698 -1.90424 1.92421 -1.30021 0.24107 0.89874 -1.73778 1.99523 -1.58495 0.64424 0.51208 -1.49702 1.98096 -1.80194 1.01987 0.10352 -1.19226 1.88200 -1.94188 1.35189 -0.30946 -0.83654 1.70257 -1.99881 1.62611 -0.70921 -0.44504 1.45035 -1.97028 1.83082 -1.07864 -0.03452 1.13613 -1.85751 1.95725 -1.40196 0.37748 0.77333 -1.66533 0.00000 ... ... ..... ....... ......... ........... ............. E38g 2.00000 -1.73778 1.01987 -0.03452 -0.95987 1.70257 -1.99881 1.77091 -1.07864 0.10352 0.89874 -1.66533 1.99523 -1.80194 1.13613 -0.17240 -0.83654 1.62611 -1.98928 1.83082 -1.19226 0.24107 0.77333 -1.58495 1.98096 -1.85751 1.24698 -0.30946 -0.70921 1.54191 -1.97028 1.88200 -1.30021 0.37748 0.64424 -1.49702 1.95725 -1.90424 1.35189 -0.44504 -0.57850 1.45035 -1.94188 1.92421 -1.40196 0.51208 0.00000 2.00000 0.51208 -1.40196 1.92421 -1.94188 1.45035 -0.57850 -0.44504 1.35189 -1.90424 1.95725 -1.49702 0.64424 0.37748 -1.30021 1.88200 -1.97028 1.54191 -0.70921 -0.30946 1.24698 -1.85751 1.98096 -1.58495 0.77333 0.24107 -1.19226 1.83082 -1.98928 1.62611 -0.83654 -0.17240 1.13613 -1.80194 1.99523 -1.66533 0.89874 0.10352 -1.07864 1.77091 -1.99881 1.70257 -0.95987 -0.03452 1.01987 -1.73778 0.00000 ... ... ..... ....... ......... ........... ............. E39g 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 0.00000 2.00000 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 0.00000 ... ... ..... ....... ......... ........... ............. E40g 2.00000 -1.85751 1.45035 -0.83654 0.10352 0.64424 -1.30021 1.77091 -1.98928 1.92421 -1.58495 1.01987 -0.30946 -0.44504 1.13613 -1.66533 1.95725 -1.97028 1.70257 -1.19226 0.51208 0.24107 -0.95987 1.54191 -1.90424 1.99523 -1.80194 1.35189 -0.70921 -0.03452 0.77333 -1.40196 1.83082 -1.99881 1.88200 -1.49702 0.89874 -0.17240 -0.57850 1.24698 -1.73778 1.98096 -1.94188 1.62611 -1.07864 0.37748 0.00000 2.00000 0.37748 -1.07864 1.62611 -1.94188 1.98096 -1.73778 1.24698 -0.57850 -0.17240 0.89874 -1.49702 1.88200 -1.99881 1.83082 -1.40196 0.77333 -0.03452 -0.70921 1.35189 -1.80194 1.99523 -1.90424 1.54191 -0.95987 0.24107 0.51208 -1.19226 1.70257 -1.97028 1.95725 -1.66533 1.13613 -0.44504 -0.30946 1.01987 -1.58495 1.92421 -1.98928 1.77091 -1.30021 0.64424 0.10352 -0.83654 1.45035 -1.85751 0.00000 ... ... ..... ....... ......... ........... ............. E41g 2.00000 -1.90424 1.62611 -1.19226 0.64424 -0.03452 -0.57850 1.13613 -1.58495 1.88200 -1.99881 1.92421 -1.66533 1.24698 -0.70921 0.10352 0.51208 -1.07864 1.54191 -1.85751 1.99523 -1.94188 1.70257 -1.30021 0.77333 -0.17240 -0.44504 1.01987 -1.49702 1.83082 -1.98928 1.95725 -1.73778 1.35189 -0.83654 0.24107 0.37748 -0.95987 1.45035 -1.80194 1.98096 -1.97028 1.77091 -1.40196 0.89874 -0.30946 0.00000 2.00000 -0.30946 0.89874 -1.40196 1.77091 -1.97028 1.98096 -1.80194 1.45035 -0.95987 0.37748 0.24107 -0.83654 1.35189 -1.73778 1.95725 -1.98928 1.83082 -1.49702 1.01987 -0.44504 -0.17240 0.77333 -1.30021 1.70257 -1.94188 1.99523 -1.85751 1.54191 -1.07864 0.51208 0.10352 -0.70921 1.24698 -1.66533 1.92421 -1.99881 1.88200 -1.58495 1.13613 -0.57850 -0.03452 0.64424 -1.19226 1.62611 -1.90424 0.00000 ... ... ..... ....... ......... ........... ............. E42g 2.00000 -1.94188 1.77091 -1.49702 1.13613 -0.70921 0.24107 0.24107 -0.70921 1.13613 -1.49702 1.77091 -1.94188 2.00000 -1.94188 1.77091 -1.49702 1.13613 -0.70921 0.24107 0.24107 -0.70921 1.13613 -1.49702 1.77091 -1.94188 2.00000 -1.94188 1.77091 -1.49702 1.13613 -0.70921 0.24107 0.24107 -0.70921 1.13613 -1.49702 1.77091 -1.94188 2.00000 -1.94188 1.77091 -1.49702 1.13613 -0.70921 0.24107 0.00000 2.00000 0.24107 -0.70921 1.13613 -1.49702 1.77091 -1.94188 2.00000 -1.94188 1.77091 -1.49702 1.13613 -0.70921 0.24107 0.24107 -0.70921 1.13613 -1.49702 1.77091 -1.94188 2.00000 -1.94188 1.77091 -1.49702 1.13613 -0.70921 0.24107 0.24107 -0.70921 1.13613 -1.49702 1.77091 -1.94188 2.00000 -1.94188 1.77091 -1.49702 1.13613 -0.70921 0.24107 0.24107 -0.70921 1.13613 -1.49702 1.77091 -1.94188 0.00000 ... ... ..... ....... ......... ........... ............. E43g 2.00000 -1.97028 1.88200 -1.73778 1.54191 -1.30021 1.01987 -0.70921 0.37748 -0.03452 -0.30946 0.64424 -0.95987 1.24698 -1.49702 1.70257 -1.85751 1.95725 -1.99881 1.98096 -1.90424 1.77091 -1.58495 1.35189 -1.07864 0.77333 -0.44504 0.10352 0.24107 -0.57850 0.89874 -1.19226 1.45035 -1.66533 1.83082 -1.94188 1.99523 -1.98928 1.92421 -1.80194 1.62611 -1.40196 1.13613 -0.83654 0.51208 -0.17240 0.00000 2.00000 -0.17240 0.51208 -0.83654 1.13613 -1.40196 1.62611 -1.80194 1.92421 -1.98928 1.99523 -1.94188 1.83082 -1.66533 1.45035 -1.19226 0.89874 -0.57850 0.24107 0.10352 -0.44504 0.77333 -1.07864 1.35189 -1.58495 1.77091 -1.90424 1.98096 -1.99881 1.95725 -1.85751 1.70257 -1.49702 1.24698 -0.95987 0.64424 -0.30946 -0.03452 0.37748 -0.70921 1.01987 -1.30021 1.54191 -1.73778 1.88200 -1.97028 0.00000 ... ... ..... ....... ......... ........... ............. E44g 2.00000 -1.98928 1.95725 -1.90424 1.83082 -1.73778 1.62611 -1.49702 1.35189 -1.19226 1.01987 -0.83654 0.64424 -0.44504 0.24107 -0.03452 -0.17240 0.37748 -0.57850 0.77333 -0.95987 1.13613 -1.30021 1.45035 -1.58495 1.70257 -1.80194 1.88200 -1.94188 1.98096 -1.99881 1.99523 -1.97028 1.92421 -1.85751 1.77091 -1.66533 1.54191 -1.40196 1.24698 -1.07864 0.89874 -0.70921 0.51208 -0.30946 0.10352 0.00000 2.00000 0.10352 -0.30946 0.51208 -0.70921 0.89874 -1.07864 1.24698 -1.40196 1.54191 -1.66533 1.77091 -1.85751 1.92421 -1.97028 1.99523 -1.99881 1.98096 -1.94188 1.88200 -1.80194 1.70257 -1.58495 1.45035 -1.30021 1.13613 -0.95987 0.77333 -0.57850 0.37748 -0.17240 -0.03452 0.24107 -0.44504 0.64424 -0.83654 1.01987 -1.19226 1.35189 -1.49702 1.62611 -1.73778 1.83082 -1.90424 1.95725 -1.98928 0.00000 ... ... ..... ....... ......... ........... ............. E45g 2.00000 -1.99881 1.99523 -1.98928 1.98096 -1.97028 1.95725 -1.94188 1.92421 -1.90424 1.88200 -1.85751 1.83082 -1.80194 1.77091 -1.73778 1.70257 -1.66533 1.62611 -1.58495 1.54191 -1.49702 1.45035 -1.40196 1.35189 -1.30021 1.24698 -1.19226 1.13613 -1.07864 1.01987 -0.95987 0.89874 -0.83654 0.77333 -0.70921 0.64424 -0.57850 0.51208 -0.44504 0.37748 -0.30946 0.24107 -0.17240 0.10352 -0.03452 0.00000 2.00000 -0.03452 0.10352 -0.17240 0.24107 -0.30946 0.37748 -0.44504 0.51208 -0.57850 0.64424 -0.70921 0.77333 -0.83654 0.89874 -0.95987 1.01987 -1.07864 1.13613 -1.19226 1.24698 -1.30021 1.35189 -1.40196 1.45035 -1.49702 1.54191 -1.58495 1.62611 -1.66533 1.70257 -1.73778 1.77091 -1.80194 1.83082 -1.85751 1.88200 -1.90424 1.92421 -1.94188 1.95725 -1.97028 1.98096 -1.98928 1.99523 -1.99881 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 ... ... ..... ....... ......... ........... ............. 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 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -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 ............. E1u 2.00000 1.99523 1.98096 1.95725 1.92421 1.88200 1.83082 1.77091 1.70257 1.62611 1.54191 1.45035 1.35189 1.24698 1.13613 1.01987 0.89874 0.77333 0.64424 0.51208 0.37748 0.24107 0.10352 -0.03452 -0.17240 -0.30946 -0.44504 -0.57850 -0.70921 -0.83654 -0.95987 -1.07864 -1.19226 -1.30021 -1.40196 -1.49702 -1.58495 -1.66533 -1.73778 -1.80194 -1.85751 -1.90424 -1.94188 -1.97028 -1.98928 -1.99881 0.00000 -2.00000 1.99881 1.98928 1.97028 1.94188 1.90424 1.85751 1.80194 1.73778 1.66533 1.58495 1.49702 1.40196 1.30021 1.19226 1.07864 0.95987 0.83654 0.70921 0.57850 0.44504 0.30946 0.17240 0.03452 -0.10352 -0.24107 -0.37748 -0.51208 -0.64424 -0.77333 -0.89874 -1.01987 -1.13613 -1.24698 -1.35189 -1.45035 -1.54191 -1.62611 -1.70257 -1.77091 -1.83082 -1.88200 -1.92421 -1.95725 -1.98096 -1.99523 0.00000 ... TT. ..... ....TT. ......... ........TT. ............. 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E21u 2.00000 0.24107 -1.94188 -0.70921 1.77091 1.13613 -1.49702 -1.49702 1.13613 1.77091 -0.70921 -1.94188 0.24107 2.00000 0.24107 -1.94188 -0.70921 1.77091 1.13613 -1.49702 -1.49702 1.13613 1.77091 -0.70921 -1.94188 0.24107 2.00000 0.24107 -1.94188 -0.70921 1.77091 1.13613 -1.49702 -1.49702 1.13613 1.77091 -0.70921 -1.94188 0.24107 2.00000 0.24107 -1.94188 -0.70921 1.77091 1.13613 -1.49702 0.00000 -2.00000 1.49702 -1.13613 -1.77091 0.70921 1.94188 -0.24107 -2.00000 -0.24107 1.94188 0.70921 -1.77091 -1.13613 1.49702 1.49702 -1.13613 -1.77091 0.70921 1.94188 -0.24107 -2.00000 -0.24107 1.94188 0.70921 -1.77091 -1.13613 1.49702 1.49702 -1.13613 -1.77091 0.70921 1.94188 -0.24107 -2.00000 -0.24107 1.94188 0.70921 -1.77091 -1.13613 1.49702 1.49702 -1.13613 -1.77091 0.70921 1.94188 -0.24107 0.00000 ... ... ..... ....... ......... ........... ............. E22u 2.00000 0.10352 -1.98928 -0.30946 1.95725 0.51208 -1.90424 -0.70921 1.83082 0.89874 -1.73778 -1.07864 1.62611 1.24698 -1.49702 -1.40196 1.35189 1.54191 -1.19226 -1.66533 1.01987 1.77091 -0.83654 -1.85751 0.64424 1.92421 -0.44504 -1.97028 0.24107 1.99523 -0.03452 -1.99881 -0.17240 1.98096 0.37748 -1.94188 -0.57850 1.88200 0.77333 -1.80194 -0.95987 1.70257 1.13613 -1.58495 -1.30021 1.45035 0.00000 -2.00000 -1.45035 1.30021 1.58495 -1.13613 -1.70257 0.95987 1.80194 -0.77333 -1.88200 0.57850 1.94188 -0.37748 -1.98096 0.17240 1.99881 0.03452 -1.99523 -0.24107 1.97028 0.44504 -1.92421 -0.64424 1.85751 0.83654 -1.77091 -1.01987 1.66533 1.19226 -1.54191 -1.35189 1.40196 1.49702 -1.24698 -1.62611 1.07864 1.73778 -0.89874 -1.83082 0.70921 1.90424 -0.51208 -1.95725 0.30946 1.98928 -0.10352 0.00000 ... ... ..... ....... ......... ........... ............. E23u 2.00000 -0.03452 -1.99881 0.10352 1.99523 -0.17240 -1.98928 0.24107 1.98096 -0.30946 -1.97028 0.37748 1.95725 -0.44504 -1.94188 0.51208 1.92421 -0.57850 -1.90424 0.64424 1.88200 -0.70921 -1.85751 0.77333 1.83082 -0.83654 -1.80194 0.89874 1.77091 -0.95987 -1.73778 1.01987 1.70257 -1.07864 -1.66533 1.13613 1.62611 -1.19226 -1.58495 1.24698 1.54191 -1.30021 -1.49702 1.35189 1.45035 -1.40196 0.00000 -2.00000 1.40196 -1.45035 -1.35189 1.49702 1.30021 -1.54191 -1.24698 1.58495 1.19226 -1.62611 -1.13613 1.66533 1.07864 -1.70257 -1.01987 1.73778 0.95987 -1.77091 -0.89874 1.80194 0.83654 -1.83082 -0.77333 1.85751 0.70921 -1.88200 -0.64424 1.90424 0.57850 -1.92421 -0.51208 1.94188 0.44504 -1.95725 -0.37748 1.97028 0.30946 -1.98096 -0.24107 1.98928 0.17240 -1.99523 -0.10352 1.99881 0.03452 0.00000 ... ... ..... ....... ......... ........... ............. E24u 2.00000 -0.17240 -1.97028 0.51208 1.88200 -0.83654 -1.73778 1.13613 1.54191 -1.40196 -1.30021 1.62611 1.01987 -1.80194 -0.70921 1.92421 0.37748 -1.98928 -0.03452 1.99523 -0.30946 -1.94188 0.64424 1.83082 -0.95987 -1.66533 1.24698 1.45035 -1.49702 -1.19226 1.70257 0.89874 -1.85751 -0.57850 1.95725 0.24107 -1.99881 0.10352 1.98096 -0.44504 -1.90424 0.77333 1.77091 -1.07864 -1.58495 1.35189 0.00000 -2.00000 -1.35189 1.58495 1.07864 -1.77091 -0.77333 1.90424 0.44504 -1.98096 -0.10352 1.99881 -0.24107 -1.95725 0.57850 1.85751 -0.89874 -1.70257 1.19226 1.49702 -1.45035 -1.24698 1.66533 0.95987 -1.83082 -0.64424 1.94188 0.30946 -1.99523 0.03452 1.98928 -0.37748 -1.92421 0.70921 1.80194 -1.01987 -1.62611 1.30021 1.40196 -1.54191 -1.13613 1.73778 0.83654 -1.88200 -0.51208 1.97028 0.17240 0.00000 ... ... ..... ....... ......... ........... ............. 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E26u 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 0.00000 -2.00000 -1.24698 1.80194 0.44504 -2.00000 0.44504 1.80194 -1.24698 -1.24698 1.80194 0.44504 -2.00000 0.44504 1.80194 -1.24698 -1.24698 1.80194 0.44504 -2.00000 0.44504 1.80194 -1.24698 -1.24698 1.80194 0.44504 -2.00000 0.44504 1.80194 -1.24698 -1.24698 1.80194 0.44504 -2.00000 0.44504 1.80194 -1.24698 -1.24698 1.80194 0.44504 -2.00000 0.44504 1.80194 -1.24698 -1.24698 1.80194 0.44504 0.00000 ... ... ..... ....... ......... ........... ............. E27u 2.00000 -0.57850 -1.66533 1.54191 0.77333 -1.98928 0.37748 1.77091 -1.40196 -0.95987 1.95725 -0.17240 -1.85751 1.24698 1.13613 -1.90424 -0.03452 1.92421 -1.07864 -1.30021 1.83082 0.24107 -1.97028 0.89874 1.45035 -1.73778 -0.44504 1.99523 -0.70921 -1.58495 1.62611 0.64424 -1.99881 0.51208 1.70257 -1.49702 -0.83654 1.98096 -0.30946 -1.80194 1.35189 1.01987 -1.94188 0.10352 1.88200 -1.19226 0.00000 -2.00000 1.19226 -1.88200 -0.10352 1.94188 -1.01987 -1.35189 1.80194 0.30946 -1.98096 0.83654 1.49702 -1.70257 -0.51208 1.99881 -0.64424 -1.62611 1.58495 0.70921 -1.99523 0.44504 1.73778 -1.45035 -0.89874 1.97028 -0.24107 -1.83082 1.30021 1.07864 -1.92421 0.03452 1.90424 -1.13613 -1.24698 1.85751 0.17240 -1.95725 0.95987 1.40196 -1.77091 -0.37748 1.98928 -0.77333 -1.54191 1.66533 0.57850 0.00000 ... ... ..... ....... ......... ........... ............. E28u 2.00000 -0.70921 -1.49702 1.77091 0.24107 -1.94188 1.13613 1.13613 -1.94188 0.24107 1.77091 -1.49702 -0.70921 2.00000 -0.70921 -1.49702 1.77091 0.24107 -1.94188 1.13613 1.13613 -1.94188 0.24107 1.77091 -1.49702 -0.70921 2.00000 -0.70921 -1.49702 1.77091 0.24107 -1.94188 1.13613 1.13613 -1.94188 0.24107 1.77091 -1.49702 -0.70921 2.00000 -0.70921 -1.49702 1.77091 0.24107 -1.94188 1.13613 0.00000 -2.00000 -1.13613 1.94188 -0.24107 -1.77091 1.49702 0.70921 -2.00000 0.70921 1.49702 -1.77091 -0.24107 1.94188 -1.13613 -1.13613 1.94188 -0.24107 -1.77091 1.49702 0.70921 -2.00000 0.70921 1.49702 -1.77091 -0.24107 1.94188 -1.13613 -1.13613 1.94188 -0.24107 -1.77091 1.49702 0.70921 -2.00000 0.70921 1.49702 -1.77091 -0.24107 1.94188 -1.13613 -1.13613 1.94188 -0.24107 -1.77091 1.49702 0.70921 0.00000 ... ... ..... ....... ......... ........... ............. 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E32u 2.00000 -1.19226 -0.57850 1.88200 -1.66533 0.10352 1.54191 -1.94188 0.77333 1.01987 -1.98928 1.35189 0.37748 -1.80194 1.77091 -0.30946 -1.40196 1.98096 -0.95987 -0.83654 1.95725 -1.49702 -0.17240 1.70257 -1.85751 0.51208 1.24698 -1.99881 1.13613 0.64424 -1.90424 1.62611 -0.03452 -1.58495 1.92421 -0.70921 -1.07864 1.99523 -1.30021 -0.44504 1.83082 -1.73778 0.24107 1.45035 -1.97028 0.89874 0.00000 -2.00000 -0.89874 1.97028 -1.45035 -0.24107 1.73778 -1.83082 0.44504 1.30021 -1.99523 1.07864 0.70921 -1.92421 1.58495 0.03452 -1.62611 1.90424 -0.64424 -1.13613 1.99881 -1.24698 -0.51208 1.85751 -1.70257 0.17240 1.49702 -1.95725 0.83654 0.95987 -1.98096 1.40196 0.30946 -1.77091 1.80194 -0.37748 -1.35189 1.98928 -1.01987 -0.77333 1.94188 -1.54191 -0.10352 1.66533 -1.88200 0.57850 1.19226 0.00000 ... ... ..... ....... ......... ........... ............. E33u 2.00000 -1.30021 -0.30946 1.70257 -1.90424 0.77333 0.89874 -1.94188 1.62611 -0.17240 -1.40196 1.99523 -1.19226 -0.44504 1.77091 -1.85751 0.64424 1.01987 -1.97028 1.54191 -0.03452 -1.49702 1.98096 -1.07864 -0.57850 1.83082 -1.80194 0.51208 1.13613 -1.98928 1.45035 0.10352 -1.58495 1.95725 -0.95987 -0.70921 1.88200 -1.73778 0.37748 1.24698 -1.99881 1.35189 0.24107 -1.66533 1.92421 -0.83654 0.00000 -2.00000 0.83654 -1.92421 1.66533 -0.24107 -1.35189 1.99881 -1.24698 -0.37748 1.73778 -1.88200 0.70921 0.95987 -1.95725 1.58495 -0.10352 -1.45035 1.98928 -1.13613 -0.51208 1.80194 -1.83082 0.57850 1.07864 -1.98096 1.49702 0.03452 -1.54191 1.97028 -1.01987 -0.64424 1.85751 -1.77091 0.44504 1.19226 -1.99523 1.40196 0.17240 -1.62611 1.94188 -0.89874 -0.77333 1.90424 -1.70257 0.30946 1.30021 0.00000 ... ... ..... ....... ......... ........... ............. E34u 2.00000 -1.40196 -0.03452 1.45035 -1.99881 1.35189 0.10352 -1.49702 1.99523 -1.30021 -0.17240 1.54191 -1.98928 1.24698 0.24107 -1.58495 1.98096 -1.19226 -0.30946 1.62611 -1.97028 1.13613 0.37748 -1.66533 1.95725 -1.07864 -0.44504 1.70257 -1.94188 1.01987 0.51208 -1.73778 1.92421 -0.95987 -0.57850 1.77091 -1.90424 0.89874 0.64424 -1.80194 1.88200 -0.83654 -0.70921 1.83082 -1.85751 0.77333 0.00000 -2.00000 -0.77333 1.85751 -1.83082 0.70921 0.83654 -1.88200 1.80194 -0.64424 -0.89874 1.90424 -1.77091 0.57850 0.95987 -1.92421 1.73778 -0.51208 -1.01987 1.94188 -1.70257 0.44504 1.07864 -1.95725 1.66533 -0.37748 -1.13613 1.97028 -1.62611 0.30946 1.19226 -1.98096 1.58495 -0.24107 -1.24698 1.98928 -1.54191 0.17240 1.30021 -1.99523 1.49702 -0.10352 -1.35189 1.99881 -1.45035 0.03452 1.40196 0.00000 ... ... ..... ....... ......... ........... ............. E35u 2.00000 -1.49702 0.24107 1.13613 -1.94188 1.77091 -0.70921 -0.70921 1.77091 -1.94188 1.13613 0.24107 -1.49702 2.00000 -1.49702 0.24107 1.13613 -1.94188 1.77091 -0.70921 -0.70921 1.77091 -1.94188 1.13613 0.24107 -1.49702 2.00000 -1.49702 0.24107 1.13613 -1.94188 1.77091 -0.70921 -0.70921 1.77091 -1.94188 1.13613 0.24107 -1.49702 2.00000 -1.49702 0.24107 1.13613 -1.94188 1.77091 -0.70921 0.00000 -2.00000 0.70921 -1.77091 1.94188 -1.13613 -0.24107 1.49702 -2.00000 1.49702 -0.24107 -1.13613 1.94188 -1.77091 0.70921 0.70921 -1.77091 1.94188 -1.13613 -0.24107 1.49702 -2.00000 1.49702 -0.24107 -1.13613 1.94188 -1.77091 0.70921 0.70921 -1.77091 1.94188 -1.13613 -0.24107 1.49702 -2.00000 1.49702 -0.24107 -1.13613 1.94188 -1.77091 0.70921 0.70921 -1.77091 1.94188 -1.13613 -0.24107 1.49702 0.00000 ... ... ..... ....... ......... ........... ............. E36u 2.00000 -1.58495 0.51208 0.77333 -1.73778 1.98096 -1.40196 0.24107 1.01987 -1.85751 1.92421 -1.19226 -0.03452 1.24698 -1.94188 1.83082 -0.95987 -0.30946 1.45035 -1.98928 1.70257 -0.70921 -0.57850 1.62611 -1.99881 1.54191 -0.44504 -0.83654 1.77091 -1.97028 1.35189 -0.17240 -1.07864 1.88200 -1.90424 1.13613 0.10352 -1.30021 1.95725 -1.80194 0.89874 0.37748 -1.49702 1.99523 -1.66533 0.64424 0.00000 -2.00000 -0.64424 1.66533 -1.99523 1.49702 -0.37748 -0.89874 1.80194 -1.95725 1.30021 -0.10352 -1.13613 1.90424 -1.88200 1.07864 0.17240 -1.35189 1.97028 -1.77091 0.83654 0.44504 -1.54191 1.99881 -1.62611 0.57850 0.70921 -1.70257 1.98928 -1.45035 0.30946 0.95987 -1.83082 1.94188 -1.24698 0.03452 1.19226 -1.92421 1.85751 -1.01987 -0.24107 1.40196 -1.98096 1.73778 -0.77333 -0.51208 1.58495 0.00000 ... ... ..... ....... ......... ........... ............. E37u 2.00000 -1.66533 0.77333 0.37748 -1.40196 1.95725 -1.85751 1.13613 -0.03452 -1.07864 1.83082 -1.97028 1.45035 -0.44504 -0.70921 1.62611 -1.99881 1.70257 -0.83654 -0.30946 1.35189 -1.94188 1.88200 -1.19226 0.10352 1.01987 -1.80194 1.98096 -1.49702 0.51208 0.64424 -1.58495 1.99523 -1.73778 0.89874 0.24107 -1.30021 1.92421 -1.90424 1.24698 -0.17240 -0.95987 1.77091 -1.98928 1.54191 -0.57850 0.00000 -2.00000 0.57850 -1.54191 1.98928 -1.77091 0.95987 0.17240 -1.24698 1.90424 -1.92421 1.30021 -0.24107 -0.89874 1.73778 -1.99523 1.58495 -0.64424 -0.51208 1.49702 -1.98096 1.80194 -1.01987 -0.10352 1.19226 -1.88200 1.94188 -1.35189 0.30946 0.83654 -1.70257 1.99881 -1.62611 0.70921 0.44504 -1.45035 1.97028 -1.83082 1.07864 0.03452 -1.13613 1.85751 -1.95725 1.40196 -0.37748 -0.77333 1.66533 0.00000 ... ... ..... ....... ......... ........... ............. E38u 2.00000 -1.73778 1.01987 -0.03452 -0.95987 1.70257 -1.99881 1.77091 -1.07864 0.10352 0.89874 -1.66533 1.99523 -1.80194 1.13613 -0.17240 -0.83654 1.62611 -1.98928 1.83082 -1.19226 0.24107 0.77333 -1.58495 1.98096 -1.85751 1.24698 -0.30946 -0.70921 1.54191 -1.97028 1.88200 -1.30021 0.37748 0.64424 -1.49702 1.95725 -1.90424 1.35189 -0.44504 -0.57850 1.45035 -1.94188 1.92421 -1.40196 0.51208 0.00000 -2.00000 -0.51208 1.40196 -1.92421 1.94188 -1.45035 0.57850 0.44504 -1.35189 1.90424 -1.95725 1.49702 -0.64424 -0.37748 1.30021 -1.88200 1.97028 -1.54191 0.70921 0.30946 -1.24698 1.85751 -1.98096 1.58495 -0.77333 -0.24107 1.19226 -1.83082 1.98928 -1.62611 0.83654 0.17240 -1.13613 1.80194 -1.99523 1.66533 -0.89874 -0.10352 1.07864 -1.77091 1.99881 -1.70257 0.95987 0.03452 -1.01987 1.73778 0.00000 ... ... ..... ....... ......... ........... ............. E39u 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 0.00000 -2.00000 0.44504 -1.24698 1.80194 -2.00000 1.80194 -1.24698 0.44504 0.44504 -1.24698 1.80194 -2.00000 1.80194 -1.24698 0.44504 0.44504 -1.24698 1.80194 -2.00000 1.80194 -1.24698 0.44504 0.44504 -1.24698 1.80194 -2.00000 1.80194 -1.24698 0.44504 0.44504 -1.24698 1.80194 -2.00000 1.80194 -1.24698 0.44504 0.44504 -1.24698 1.80194 -2.00000 1.80194 -1.24698 0.44504 0.44504 -1.24698 1.80194 0.00000 ... ... ..... ....... ......... ........... ............. E40u 2.00000 -1.85751 1.45035 -0.83654 0.10352 0.64424 -1.30021 1.77091 -1.98928 1.92421 -1.58495 1.01987 -0.30946 -0.44504 1.13613 -1.66533 1.95725 -1.97028 1.70257 -1.19226 0.51208 0.24107 -0.95987 1.54191 -1.90424 1.99523 -1.80194 1.35189 -0.70921 -0.03452 0.77333 -1.40196 1.83082 -1.99881 1.88200 -1.49702 0.89874 -0.17240 -0.57850 1.24698 -1.73778 1.98096 -1.94188 1.62611 -1.07864 0.37748 0.00000 -2.00000 -0.37748 1.07864 -1.62611 1.94188 -1.98096 1.73778 -1.24698 0.57850 0.17240 -0.89874 1.49702 -1.88200 1.99881 -1.83082 1.40196 -0.77333 0.03452 0.70921 -1.35189 1.80194 -1.99523 1.90424 -1.54191 0.95987 -0.24107 -0.51208 1.19226 -1.70257 1.97028 -1.95725 1.66533 -1.13613 0.44504 0.30946 -1.01987 1.58495 -1.92421 1.98928 -1.77091 1.30021 -0.64424 -0.10352 0.83654 -1.45035 1.85751 0.00000 ... ... ..... ....... ......... ........... ............. E41u 2.00000 -1.90424 1.62611 -1.19226 0.64424 -0.03452 -0.57850 1.13613 -1.58495 1.88200 -1.99881 1.92421 -1.66533 1.24698 -0.70921 0.10352 0.51208 -1.07864 1.54191 -1.85751 1.99523 -1.94188 1.70257 -1.30021 0.77333 -0.17240 -0.44504 1.01987 -1.49702 1.83082 -1.98928 1.95725 -1.73778 1.35189 -0.83654 0.24107 0.37748 -0.95987 1.45035 -1.80194 1.98096 -1.97028 1.77091 -1.40196 0.89874 -0.30946 0.00000 -2.00000 0.30946 -0.89874 1.40196 -1.77091 1.97028 -1.98096 1.80194 -1.45035 0.95987 -0.37748 -0.24107 0.83654 -1.35189 1.73778 -1.95725 1.98928 -1.83082 1.49702 -1.01987 0.44504 0.17240 -0.77333 1.30021 -1.70257 1.94188 -1.99523 1.85751 -1.54191 1.07864 -0.51208 -0.10352 0.70921 -1.24698 1.66533 -1.92421 1.99881 -1.88200 1.58495 -1.13613 0.57850 0.03452 -0.64424 1.19226 -1.62611 1.90424 0.00000 ... ... ..... ....... ......... ........... ............. E42u 2.00000 -1.94188 1.77091 -1.49702 1.13613 -0.70921 0.24107 0.24107 -0.70921 1.13613 -1.49702 1.77091 -1.94188 2.00000 -1.94188 1.77091 -1.49702 1.13613 -0.70921 0.24107 0.24107 -0.70921 1.13613 -1.49702 1.77091 -1.94188 2.00000 -1.94188 1.77091 -1.49702 1.13613 -0.70921 0.24107 0.24107 -0.70921 1.13613 -1.49702 1.77091 -1.94188 2.00000 -1.94188 1.77091 -1.49702 1.13613 -0.70921 0.24107 0.00000 -2.00000 -0.24107 0.70921 -1.13613 1.49702 -1.77091 1.94188 -2.00000 1.94188 -1.77091 1.49702 -1.13613 0.70921 -0.24107 -0.24107 0.70921 -1.13613 1.49702 -1.77091 1.94188 -2.00000 1.94188 -1.77091 1.49702 -1.13613 0.70921 -0.24107 -0.24107 0.70921 -1.13613 1.49702 -1.77091 1.94188 -2.00000 1.94188 -1.77091 1.49702 -1.13613 0.70921 -0.24107 -0.24107 0.70921 -1.13613 1.49702 -1.77091 1.94188 0.00000 ... ... ..... ....... ......... ........... ............. E43u 2.00000 -1.97028 1.88200 -1.73778 1.54191 -1.30021 1.01987 -0.70921 0.37748 -0.03452 -0.30946 0.64424 -0.95987 1.24698 -1.49702 1.70257 -1.85751 1.95725 -1.99881 1.98096 -1.90424 1.77091 -1.58495 1.35189 -1.07864 0.77333 -0.44504 0.10352 0.24107 -0.57850 0.89874 -1.19226 1.45035 -1.66533 1.83082 -1.94188 1.99523 -1.98928 1.92421 -1.80194 1.62611 -1.40196 1.13613 -0.83654 0.51208 -0.17240 0.00000 -2.00000 0.17240 -0.51208 0.83654 -1.13613 1.40196 -1.62611 1.80194 -1.92421 1.98928 -1.99523 1.94188 -1.83082 1.66533 -1.45035 1.19226 -0.89874 0.57850 -0.24107 -0.10352 0.44504 -0.77333 1.07864 -1.35189 1.58495 -1.77091 1.90424 -1.98096 1.99881 -1.95725 1.85751 -1.70257 1.49702 -1.24698 0.95987 -0.64424 0.30946 0.03452 -0.37748 0.70921 -1.01987 1.30021 -1.54191 1.73778 -1.88200 1.97028 0.00000 ... ... ..... ....... ......... ........... ............. E44u 2.00000 -1.98928 1.95725 -1.90424 1.83082 -1.73778 1.62611 -1.49702 1.35189 -1.19226 1.01987 -0.83654 0.64424 -0.44504 0.24107 -0.03452 -0.17240 0.37748 -0.57850 0.77333 -0.95987 1.13613 -1.30021 1.45035 -1.58495 1.70257 -1.80194 1.88200 -1.94188 1.98096 -1.99881 1.99523 -1.97028 1.92421 -1.85751 1.77091 -1.66533 1.54191 -1.40196 1.24698 -1.07864 0.89874 -0.70921 0.51208 -0.30946 0.10352 0.00000 -2.00000 -0.10352 0.30946 -0.51208 0.70921 -0.89874 1.07864 -1.24698 1.40196 -1.54191 1.66533 -1.77091 1.85751 -1.92421 1.97028 -1.99523 1.99881 -1.98096 1.94188 -1.88200 1.80194 -1.70257 1.58495 -1.45035 1.30021 -1.13613 0.95987 -0.77333 0.57850 -0.37748 0.17240 0.03452 -0.24107 0.44504 -0.64424 0.83654 -1.01987 1.19226 -1.35189 1.49702 -1.62611 1.73778 -1.83082 1.90424 -1.95725 1.98928 0.00000 ... ... ..... ....... ......... ........... ............. E45u 2.00000 -1.99881 1.99523 -1.98928 1.98096 -1.97028 1.95725 -1.94188 1.92421 -1.90424 1.88200 -1.85751 1.83082 -1.80194 1.77091 -1.73778 1.70257 -1.66533 1.62611 -1.58495 1.54191 -1.49702 1.45035 -1.40196 1.35189 -1.30021 1.24698 -1.19226 1.13613 -1.07864 1.01987 -0.95987 0.89874 -0.83654 0.77333 -0.70921 0.64424 -0.57850 0.51208 -0.44504 0.37748 -0.30946 0.24107 -0.17240 0.10352 -0.03452 0.00000 -2.00000 0.03452 -0.10352 0.17240 -0.24107 0.30946 -0.37748 0.44504 -0.51208 0.57850 -0.64424 0.70921 -0.77333 0.83654 -0.89874 0.95987 -1.01987 1.07864 -1.13613 1.19226 -1.24698 1.30021 -1.35189 1.40196 -1.45035 1.49702 -1.54191 1.58495 -1.62611 1.66533 -1.70257 1.73778 -1.77091 1.80194 -1.83082 1.85751 -1.88200 1.90424 -1.92421 1.94188 -1.95725 1.97028 -1.98096 1.98928 -1.99523 1.99881 0.00000 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.998808281102 = 2*cos(2*π/182) = 2*cos(π/91) 1.995234544602 = 2*cos(4*π/182) = 2*cos(2*π/91) 1.989283049390 = 2*cos(6*π/182) = 2*cos(3*π/91) 1.980960887975 = 2*cos(8*π/182) = 2*cos(4*π/91) 1.970277978034 = 2*cos(10*π/182) = 2*cos(5*π/91) 1.957247050592 = 2*cos(12*π/182) = 2*cos(6*π/91) 1.941883634852 = 2*cos(14*π/182) = 2*cos(π/13) 1.924206039687 = 2*cos(16*π/182) = 2*cos(8*π/91) 1.904235331821 = 2*cos(18*π/182) = 2*cos(9*π/91) 1.881995310725 = 2*cos(20*π/182) = 2*cos(10*π/91) 1.857512480251 = 2*cos(22*π/182) = 2*cos(11*π/91) 1.830816017051 = 2*cos(24*π/182) = 2*cos(12*π/91) 1.801937735805 = 2*cos(26*π/182) = 2*cos(π/7) 1.770912051306 = 2*cos(28*π/182) = 2*cos(2*π/13) 1.737775937450 = 2*cos(30*π/182) = 2*cos(15*π/91) 1.702568883169 = 2*cos(32*π/182) = 2*cos(16*π/91) 1.665332845374 = 2*cos(34*π/182) = 2*cos(17*π/91) 1.626112198957 = 2*cos(36*π/182) = 2*cos(18*π/91) 1.584953683902 = 2*cos(38*π/182) = 2*cos(19*π/91) 1.541906349590 = 2*cos(40*π/182) = 2*cos(20*π/91) 1.497021496342 = 2*cos(42*π/182) = 2*cos(3*π/13) 1.450352614287 = 2*cos(44*π/182) = 2*cos(22*π/91) 1.401955319612 = 2*cos(46*π/182) = 2*cos(23*π/91) 1.351887288290 = 2*cos(48*π/182) = 2*cos(24*π/91) 1.300208187337 = 2*cos(50*π/182) = 2*cos(25*π/91) 1.246979603717 = 2*cos(52*π/182) = 2*cos(2*π/7) 1.192264970938 = 2*cos(54*π/182) = 2*cos(27*π/91) 1.136129493462 = 2*cos(56*π/182) = 2*cos(4*π/13) 1.078640068998 = 2*cos(58*π/182) = 2*cos(29*π/91) 1.019865208780 = 2*cos(60*π/182) = 2*cos(30*π/91) 0.959874955920 = 2*cos(62*π/182) = 2*cos(31*π/91) 0.898740801934 = 2*cos(64*π/182) = 2*cos(32*π/91) 0.836535601551 = 2*cos(66*π/182) = 2*cos(33*π/91) 0.773333485883 = 2*cos(68*π/182) = 2*cos(34*π/91) 0.709209774085 = 2*cos(70*π/182) = 2*cos(5*π/13) 0.644240883597 = 2*cos(72*π/182) = 2*cos(36*π/91) 0.578504239073 = 2*cos(74*π/182) = 2*cos(37*π/91) 0.512078180115 = 2*cos(76*π/182) = 2*cos(38*π/91) 0.445041867913 = 2*cos(78*π/182) = 2*cos(3*π/7) 0.377475190906 = 2*cos(80*π/182) = 2*cos(40*π/91) 0.309458669581 = 2*cos(82*π/182) = 2*cos(41*π/91) 0.241073360511 = 2*cos(84*π/182) = 2*cos(6*π/13) 0.172400759761 = 2*cos(86*π/182) = 2*cos(43*π/91) 0.103522705768 = 2*cos(88*π/182) = 2*cos(44*π/91) 0.034521281811 = 2*cos(90*π/182) = 2*cos(45*π/91) 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_91d point group is 364, and the order of the principal axis (S₁₈₂) is 182. The group has 94 irreducible representations. β The D_91d point group is isomorphic to D_91h, C_182v and D₁₈₂. γ The D_91d point group is generated by two symmetry elements, S₁₈₂ 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: C₉₁, 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_91d is 4 (quadrupole moment). ζ This point group is non-Abelian (some symmetry operations are not commutative). Therefore, the character table contains multi-membered classes and degenerate irreducible representations. η Some of the characters in the table are irrational because the order of the principal axis is neither 1,2,3,4 nor 6. These irrational values can be expressed as cosine values, or as solutions of algebraic equations with a leading coefficient of 1. All characters are algebraic integers of a degree much less than half the order of the principal axis. θ The point group corresponds to a polygon inconstructible by the classical means of ruler and compass. Yet it becomes constructible if angle trisection is allowed, e.g., with neusis construction or origami. This is because the order of the principal axis is given by a product of any number of different Pierpont primes (...,5,7,13,17,19,37,73,97,109,163,...) times arbitrary powers of two and three. All characters of this group can be expressed using complex numbers, elementary arithmetic operations, square roots and third roots.

This Character Table for the D_91d point group was created by Gernot Katzer.

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

	D_89d
	D_90d
C₉₁ C_91v C_91h D₉₁ D_91h	D_91d
	D_92d
	D_93d

Character table for the D91d point group

Character table for the D_91d point group