Character Table for Point Group D90d

Character table for the D_90d point group

D90d E 2 S180 2 C90 2 S60 2 C45 2 S36 2 C30 2 S180^7 2 C45^2 2 S20 2 C18 2 S180^11 2 C15 2 S180^13 2 C90^7 2 S12 2 C45^4 2 S180^17 2 C10 2 S180^19 2 C9 2 S60^7 2 C90^11 2 S180^23 2 C15^2 2 S36^5 2 C90^13 2 S20^3 2 C45^7 2 S180^29 2 C6 2 S180^31 2 C45^8 2 S60^11 2 C90^17 2 S36^7 2 C5 2 S180^37 2 C90^19 2 S60^13 2 C9^2 2 S180^41 2 C30^7 2 S180^43 2 C45^11 2 S4 2 C90^23 2 S180^47 2 C15^4 2 S180^49 2 C18^5 2 S60^17 2 C45^13 2 S180^53 2 C10^3 2 S36^11 2 C45^14 2 S60^19 2 C90^29 2 S180^59 2 C3 2 S180^61 2 C90^31 2 S20^7 2 C45^16 2 S36^13 2 C30^11 2 S180^67 2 C45^17 2 S60^23 2 C18^7 2 S180^71 2 C5^2 2 S180^73 2 C90^37 2 S12^5 2 C45^19 2 S180^77 2 C30^13 2 S180^79 2 C9^4 2 S20^9 2 C90^41 2 S180^83 2 C15^7 2 S36^17 2 C90^43 2 S60^29 2 C45^22 2 S180^89 C2 90 C2' 90 sd <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> A1 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 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 A2 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 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 ... ..... ....... ......... ........... ............. B1 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 1.00000 -1.00000 ... ... ..... ....... ......... ........... ............. B2 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -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 ............. E1 2.00000 1.99878 1.99513 1.98904 1.98054 1.96962 1.95630 1.94059 1.92252 1.90211 1.87939 1.85437 1.82709 1.79759 1.76590 1.73205 1.69610 1.65808 1.61803 1.57602 1.53209 1.48629 1.43868 1.38932 1.33826 1.28558 1.23132 1.17557 1.11839 1.05984 1.00000 0.93894 0.87674 0.81347 0.74921 0.68404 0.61803 0.55127 0.48384 0.41582 0.34730 0.27835 0.20906 0.13951 0.06980 0.00000 -0.06980 -0.13951 -0.20906 -0.27835 -0.34730 -0.41582 -0.48384 -0.55127 -0.61803 -0.68404 -0.74921 -0.81347 -0.87674 -0.93894 -1.00000 -1.05984 -1.11839 -1.17557 -1.23132 -1.28558 -1.33826 -1.38932 -1.43868 -1.48629 -1.53209 -1.57602 -1.61803 -1.65808 -1.69610 -1.73205 -1.76590 -1.79759 -1.82709 -1.85437 -1.87939 -1.90211 -1.92252 -1.94059 -1.95630 -1.96962 -1.98054 -1.98904 -1.99513 -1.99878 -2.00000 0.00000 0.00000 ... TT. ..... ....TT. ......... ........TT. ............. E2 2.00000 1.99513 1.98054 1.95630 1.92252 1.87939 1.82709 1.76590 1.69610 1.61803 1.53209 1.43868 1.33826 1.23132 1.11839 1.00000 0.87674 0.74921 0.61803 0.48384 0.34730 0.20906 0.06980 -0.06980 -0.20906 -0.34730 -0.48384 -0.61803 -0.74921 -0.87674 -1.00000 -1.11839 -1.23132 -1.33826 -1.43868 -1.53209 -1.61803 -1.69610 -1.76590 -1.82709 -1.87939 -1.92252 -1.95630 -1.98054 -1.99513 -2.00000 -1.99513 -1.98054 -1.95630 -1.92252 -1.87939 -1.82709 -1.76590 -1.69610 -1.61803 -1.53209 -1.43868 -1.33826 -1.23132 -1.11839 -1.00000 -0.87674 -0.74921 -0.61803 -0.48384 -0.34730 -0.20906 -0.06980 0.06980 0.20906 0.34730 0.48384 0.61803 0.74921 0.87674 1.00000 1.11839 1.23132 1.33826 1.43868 1.53209 1.61803 1.69610 1.76590 1.82709 1.87939 1.92252 1.95630 1.98054 1.99513 2.00000 0.00000 0.00000 ... ... TT... ....... ....TT... ........... ........TT... E3 2.00000 1.98904 1.95630 1.90211 1.82709 1.73205 1.61803 1.48629 1.33826 1.17557 1.00000 0.81347 0.61803 0.41582 0.20906 0.00000 -0.20906 -0.41582 -0.61803 -0.81347 -1.00000 -1.17557 -1.33826 -1.48629 -1.61803 -1.73205 -1.82709 -1.90211 -1.95630 -1.98904 -2.00000 -1.98904 -1.95630 -1.90211 -1.82709 -1.73205 -1.61803 -1.48629 -1.33826 -1.17557 -1.00000 -0.81347 -0.61803 -0.41582 -0.20906 0.00000 0.20906 0.41582 0.61803 0.81347 1.00000 1.17557 1.33826 1.48629 1.61803 1.73205 1.82709 1.90211 1.95630 1.98904 2.00000 1.98904 1.95630 1.90211 1.82709 1.73205 1.61803 1.48629 1.33826 1.17557 1.00000 0.81347 0.61803 0.41582 0.20906 0.00000 -0.20906 -0.41582 -0.61803 -0.81347 -1.00000 -1.17557 -1.33826 -1.48629 -1.61803 -1.73205 -1.82709 -1.90211 -1.95630 -1.98904 -2.00000 0.00000 0.00000 ... ... ..... TT..... ......... ....TT..... ............. E4 2.00000 1.98054 1.92252 1.82709 1.69610 1.53209 1.33826 1.11839 0.87674 0.61803 0.34730 0.06980 -0.20906 -0.48384 -0.74921 -1.00000 -1.23132 -1.43868 -1.61803 -1.76590 -1.87939 -1.95630 -1.99513 -1.99513 -1.95630 -1.87939 -1.76590 -1.61803 -1.43868 -1.23132 -1.00000 -0.74921 -0.48384 -0.20906 0.06980 0.34730 0.61803 0.87674 1.11839 1.33826 1.53209 1.69610 1.82709 1.92252 1.98054 2.00000 1.98054 1.92252 1.82709 1.69610 1.53209 1.33826 1.11839 0.87674 0.61803 0.34730 0.06980 -0.20906 -0.48384 -0.74921 -1.00000 -1.23132 -1.43868 -1.61803 -1.76590 -1.87939 -1.95630 -1.99513 -1.99513 -1.95630 -1.87939 -1.76590 -1.61803 -1.43868 -1.23132 -1.00000 -0.74921 -0.48384 -0.20906 0.06980 0.34730 0.61803 0.87674 1.11839 1.33826 1.53209 1.69610 1.82709 1.92252 1.98054 2.00000 0.00000 0.00000 ... ... ..... ....... TT....... ........... ....TT....... E5 2.00000 1.96962 1.87939 1.73205 1.53209 1.28558 1.00000 0.68404 0.34730 0.00000 -0.34730 -0.68404 -1.00000 -1.28558 -1.53209 -1.73205 -1.87939 -1.96962 -2.00000 -1.96962 -1.87939 -1.73205 -1.53209 -1.28558 -1.00000 -0.68404 -0.34730 0.00000 0.34730 0.68404 1.00000 1.28558 1.53209 1.73205 1.87939 1.96962 2.00000 1.96962 1.87939 1.73205 1.53209 1.28558 1.00000 0.68404 0.34730 0.00000 -0.34730 -0.68404 -1.00000 -1.28558 -1.53209 -1.73205 -1.87939 -1.96962 -2.00000 -1.96962 -1.87939 -1.73205 -1.53209 -1.28558 -1.00000 -0.68404 -0.34730 0.00000 0.34730 0.68404 1.00000 1.28558 1.53209 1.73205 1.87939 1.96962 2.00000 1.96962 1.87939 1.73205 1.53209 1.28558 1.00000 0.68404 0.34730 0.00000 -0.34730 -0.68404 -1.00000 -1.28558 -1.53209 -1.73205 -1.87939 -1.96962 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... TT......... ............. E6 2.00000 1.95630 1.82709 1.61803 1.33826 1.00000 0.61803 0.20906 -0.20906 -0.61803 -1.00000 -1.33826 -1.61803 -1.82709 -1.95630 -2.00000 -1.95630 -1.82709 -1.61803 -1.33826 -1.00000 -0.61803 -0.20906 0.20906 0.61803 1.00000 1.33826 1.61803 1.82709 1.95630 2.00000 1.95630 1.82709 1.61803 1.33826 1.00000 0.61803 0.20906 -0.20906 -0.61803 -1.00000 -1.33826 -1.61803 -1.82709 -1.95630 -2.00000 -1.95630 -1.82709 -1.61803 -1.33826 -1.00000 -0.61803 -0.20906 0.20906 0.61803 1.00000 1.33826 1.61803 1.82709 1.95630 2.00000 1.95630 1.82709 1.61803 1.33826 1.00000 0.61803 0.20906 -0.20906 -0.61803 -1.00000 -1.33826 -1.61803 -1.82709 -1.95630 -2.00000 -1.95630 -1.82709 -1.61803 -1.33826 -1.00000 -0.61803 -0.20906 0.20906 0.61803 1.00000 1.33826 1.61803 1.82709 1.95630 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... TT........... E7 2.00000 1.94059 1.76590 1.48629 1.11839 0.68404 0.20906 -0.27835 -0.74921 -1.17557 -1.53209 -1.79759 -1.95630 -1.99878 -1.92252 -1.73205 -1.43868 -1.05984 -0.61803 -0.13951 0.34730 0.81347 1.23132 1.57602 1.82709 1.96962 1.99513 1.90211 1.69610 1.38932 1.00000 0.55127 0.06980 -0.41582 -0.87674 -1.28558 -1.61803 -1.85437 -1.98054 -1.98904 -1.87939 -1.65808 -1.33826 -0.93894 -0.48384 0.00000 0.48384 0.93894 1.33826 1.65808 1.87939 1.98904 1.98054 1.85437 1.61803 1.28558 0.87674 0.41582 -0.06980 -0.55127 -1.00000 -1.38932 -1.69610 -1.90211 -1.99513 -1.96962 -1.82709 -1.57602 -1.23132 -0.81347 -0.34730 0.13951 0.61803 1.05984 1.43868 1.73205 1.92252 1.99878 1.95630 1.79759 1.53209 1.17557 0.74921 0.27835 -0.20906 -0.68404 -1.11839 -1.48629 -1.76590 -1.94059 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E8 2.00000 1.92252 1.69610 1.33826 0.87674 0.34730 -0.20906 -0.74921 -1.23132 -1.61803 -1.87939 -1.99513 -1.95630 -1.76590 -1.43868 -1.00000 -0.48384 0.06980 0.61803 1.11839 1.53209 1.82709 1.98054 1.98054 1.82709 1.53209 1.11839 0.61803 0.06980 -0.48384 -1.00000 -1.43868 -1.76590 -1.95630 -1.99513 -1.87939 -1.61803 -1.23132 -0.74921 -0.20906 0.34730 0.87674 1.33826 1.69610 1.92252 2.00000 1.92252 1.69610 1.33826 0.87674 0.34730 -0.20906 -0.74921 -1.23132 -1.61803 -1.87939 -1.99513 -1.95630 -1.76590 -1.43868 -1.00000 -0.48384 0.06980 0.61803 1.11839 1.53209 1.82709 1.98054 1.98054 1.82709 1.53209 1.11839 0.61803 0.06980 -0.48384 -1.00000 -1.43868 -1.76590 -1.95630 -1.99513 -1.87939 -1.61803 -1.23132 -0.74921 -0.20906 0.34730 0.87674 1.33826 1.69610 1.92252 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E9 2.00000 1.90211 1.61803 1.17557 0.61803 0.00000 -0.61803 -1.17557 -1.61803 -1.90211 -2.00000 -1.90211 -1.61803 -1.17557 -0.61803 0.00000 0.61803 1.17557 1.61803 1.90211 2.00000 1.90211 1.61803 1.17557 0.61803 0.00000 -0.61803 -1.17557 -1.61803 -1.90211 -2.00000 -1.90211 -1.61803 -1.17557 -0.61803 0.00000 0.61803 1.17557 1.61803 1.90211 2.00000 1.90211 1.61803 1.17557 0.61803 0.00000 -0.61803 -1.17557 -1.61803 -1.90211 -2.00000 -1.90211 -1.61803 -1.17557 -0.61803 0.00000 0.61803 1.17557 1.61803 1.90211 2.00000 1.90211 1.61803 1.17557 0.61803 0.00000 -0.61803 -1.17557 -1.61803 -1.90211 -2.00000 -1.90211 -1.61803 -1.17557 -0.61803 0.00000 0.61803 1.17557 1.61803 1.90211 2.00000 1.90211 1.61803 1.17557 0.61803 0.00000 -0.61803 -1.17557 -1.61803 -1.90211 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E10 2.00000 1.87939 1.53209 1.00000 0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730 0.34730 1.00000 1.53209 1.87939 2.00000 1.87939 1.53209 1.00000 0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730 0.34730 1.00000 1.53209 1.87939 2.00000 1.87939 1.53209 1.00000 0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730 0.34730 1.00000 1.53209 1.87939 2.00000 1.87939 1.53209 1.00000 0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730 0.34730 1.00000 1.53209 1.87939 2.00000 1.87939 1.53209 1.00000 0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730 0.34730 1.00000 1.53209 1.87939 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E11 2.00000 1.85437 1.43868 0.81347 0.06980 -0.68404 -1.33826 -1.79759 -1.99513 -1.90211 -1.53209 -0.93894 -0.20906 0.55127 1.23132 1.73205 1.98054 1.94059 1.61803 1.05984 0.34730 -0.41582 -1.11839 -1.65808 -1.95630 -1.96962 -1.69610 -1.17557 -0.48384 0.27835 1.00000 1.57602 1.92252 1.98904 1.76590 1.28558 0.61803 -0.13951 -0.87674 -1.48629 -1.87939 -1.99878 -1.82709 -1.38932 -0.74921 0.00000 0.74921 1.38932 1.82709 1.99878 1.87939 1.48629 0.87674 0.13951 -0.61803 -1.28558 -1.76590 -1.98904 -1.92252 -1.57602 -1.00000 -0.27835 0.48384 1.17557 1.69610 1.96962 1.95630 1.65808 1.11839 0.41582 -0.34730 -1.05984 -1.61803 -1.94059 -1.98054 -1.73205 -1.23132 -0.55127 0.20906 0.93894 1.53209 1.90211 1.99513 1.79759 1.33826 0.68404 -0.06980 -0.81347 -1.43868 -1.85437 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E12 2.00000 1.82709 1.33826 0.61803 -0.20906 -1.00000 -1.61803 -1.95630 -1.95630 -1.61803 -1.00000 -0.20906 0.61803 1.33826 1.82709 2.00000 1.82709 1.33826 0.61803 -0.20906 -1.00000 -1.61803 -1.95630 -1.95630 -1.61803 -1.00000 -0.20906 0.61803 1.33826 1.82709 2.00000 1.82709 1.33826 0.61803 -0.20906 -1.00000 -1.61803 -1.95630 -1.95630 -1.61803 -1.00000 -0.20906 0.61803 1.33826 1.82709 2.00000 1.82709 1.33826 0.61803 -0.20906 -1.00000 -1.61803 -1.95630 -1.95630 -1.61803 -1.00000 -0.20906 0.61803 1.33826 1.82709 2.00000 1.82709 1.33826 0.61803 -0.20906 -1.00000 -1.61803 -1.95630 -1.95630 -1.61803 -1.00000 -0.20906 0.61803 1.33826 1.82709 2.00000 1.82709 1.33826 0.61803 -0.20906 -1.00000 -1.61803 -1.95630 -1.95630 -1.61803 -1.00000 -0.20906 0.61803 1.33826 1.82709 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E13 2.00000 1.79759 1.23132 0.41582 -0.48384 -1.28558 -1.82709 -1.99878 -1.76590 -1.17557 -0.34730 0.55127 1.33826 1.85437 1.99513 1.73205 1.11839 0.27835 -0.61803 -1.38932 -1.87939 -1.98904 -1.69610 -1.05984 -0.20906 0.68404 1.43868 1.90211 1.98054 1.65808 1.00000 0.13951 -0.74921 -1.48629 -1.92252 -1.96962 -1.61803 -0.93894 -0.06980 0.81347 1.53209 1.94059 1.95630 1.57602 0.87674 0.00000 -0.87674 -1.57602 -1.95630 -1.94059 -1.53209 -0.81347 0.06980 0.93894 1.61803 1.96962 1.92252 1.48629 0.74921 -0.13951 -1.00000 -1.65808 -1.98054 -1.90211 -1.43868 -0.68404 0.20906 1.05984 1.69610 1.98904 1.87939 1.38932 0.61803 -0.27835 -1.11839 -1.73205 -1.99513 -1.85437 -1.33826 -0.55127 0.34730 1.17557 1.76590 1.99878 1.82709 1.28558 0.48384 -0.41582 -1.23132 -1.79759 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E14 2.00000 1.76590 1.11839 0.20906 -0.74921 -1.53209 -1.95630 -1.92252 -1.43868 -0.61803 0.34730 1.23132 1.82709 1.99513 1.69610 1.00000 0.06980 -0.87674 -1.61803 -1.98054 -1.87939 -1.33826 -0.48384 0.48384 1.33826 1.87939 1.98054 1.61803 0.87674 -0.06980 -1.00000 -1.69610 -1.99513 -1.82709 -1.23132 -0.34730 0.61803 1.43868 1.92252 1.95630 1.53209 0.74921 -0.20906 -1.11839 -1.76590 -2.00000 -1.76590 -1.11839 -0.20906 0.74921 1.53209 1.95630 1.92252 1.43868 0.61803 -0.34730 -1.23132 -1.82709 -1.99513 -1.69610 -1.00000 -0.06980 0.87674 1.61803 1.98054 1.87939 1.33826 0.48384 -0.48384 -1.33826 -1.87939 -1.98054 -1.61803 -0.87674 0.06980 1.00000 1.69610 1.99513 1.82709 1.23132 0.34730 -0.61803 -1.43868 -1.92252 -1.95630 -1.53209 -0.74921 0.20906 1.11839 1.76590 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E15 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000 0.00000 1.00000 1.73205 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000 0.00000 1.00000 1.73205 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000 0.00000 1.00000 1.73205 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000 0.00000 1.00000 1.73205 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000 0.00000 1.00000 1.73205 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000 0.00000 1.00000 1.73205 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000 0.00000 1.00000 1.73205 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E16 2.00000 1.69610 0.87674 -0.20906 -1.23132 -1.87939 -1.95630 -1.43868 -0.48384 0.61803 1.53209 1.98054 1.82709 1.11839 0.06980 -1.00000 -1.76590 -1.99513 -1.61803 -0.74921 0.34730 1.33826 1.92252 1.92252 1.33826 0.34730 -0.74921 -1.61803 -1.99513 -1.76590 -1.00000 0.06980 1.11839 1.82709 1.98054 1.53209 0.61803 -0.48384 -1.43868 -1.95630 -1.87939 -1.23132 -0.20906 0.87674 1.69610 2.00000 1.69610 0.87674 -0.20906 -1.23132 -1.87939 -1.95630 -1.43868 -0.48384 0.61803 1.53209 1.98054 1.82709 1.11839 0.06980 -1.00000 -1.76590 -1.99513 -1.61803 -0.74921 0.34730 1.33826 1.92252 1.92252 1.33826 0.34730 -0.74921 -1.61803 -1.99513 -1.76590 -1.00000 0.06980 1.11839 1.82709 1.98054 1.53209 0.61803 -0.48384 -1.43868 -1.95630 -1.87939 -1.23132 -0.20906 0.87674 1.69610 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E17 2.00000 1.65808 0.74921 -0.41582 -1.43868 -1.96962 -1.82709 -1.05984 0.06980 1.17557 1.87939 1.94059 1.33826 0.27835 -0.87674 -1.73205 -1.99513 -1.57602 -0.61803 0.55127 1.53209 1.98904 1.76590 0.93894 -0.20906 -1.28558 -1.92252 -1.90211 -1.23132 -0.13951 1.00000 1.79759 1.98054 1.48629 0.48384 -0.68404 -1.61803 -1.99878 -1.69610 -0.81347 0.34730 1.38932 1.95630 1.85437 1.11839 0.00000 -1.11839 -1.85437 -1.95630 -1.38932 -0.34730 0.81347 1.69610 1.99878 1.61803 0.68404 -0.48384 -1.48629 -1.98054 -1.79759 -1.00000 0.13951 1.23132 1.90211 1.92252 1.28558 0.20906 -0.93894 -1.76590 -1.98904 -1.53209 -0.55127 0.61803 1.57602 1.99513 1.73205 0.87674 -0.27835 -1.33826 -1.94059 -1.87939 -1.17557 -0.06980 1.05984 1.82709 1.96962 1.43868 0.41582 -0.74921 -1.65808 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E18 2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803 0.61803 1.61803 2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803 0.61803 1.61803 2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803 0.61803 1.61803 2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803 0.61803 1.61803 2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803 0.61803 1.61803 2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803 0.61803 1.61803 2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803 0.61803 1.61803 2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803 0.61803 1.61803 2.00000 1.61803 0.61803 -0.61803 -1.61803 -2.00000 -1.61803 -0.61803 0.61803 1.61803 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E19 2.00000 1.57602 0.48384 -0.81347 -1.76590 -1.96962 -1.33826 -0.13951 1.11839 1.90211 1.87939 1.05984 -0.20906 -1.38932 -1.98054 -1.73205 -0.74921 0.55127 1.61803 1.99878 1.53209 0.41582 -0.87674 -1.79759 -1.95630 -1.28558 -0.06980 1.17557 1.92252 1.85437 1.00000 -0.27835 -1.43868 -1.98904 -1.69610 -0.68404 0.61803 1.65808 1.99513 1.48629 0.34730 -0.93894 -1.82709 -1.94059 -1.23132 0.00000 1.23132 1.94059 1.82709 0.93894 -0.34730 -1.48629 -1.99513 -1.65808 -0.61803 0.68404 1.69610 1.98904 1.43868 0.27835 -1.00000 -1.85437 -1.92252 -1.17557 0.06980 1.28558 1.95630 1.79759 0.87674 -0.41582 -1.53209 -1.99878 -1.61803 -0.55127 0.74921 1.73205 1.98054 1.38932 0.20906 -1.05984 -1.87939 -1.90211 -1.11839 0.13951 1.33826 1.96962 1.76590 0.81347 -0.48384 -1.57602 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E20 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E21 2.00000 1.48629 0.20906 -1.17557 -1.95630 -1.73205 -0.61803 0.81347 1.82709 1.90211 1.00000 -0.41582 -1.61803 -1.98904 -1.33826 0.00000 1.33826 1.98904 1.61803 0.41582 -1.00000 -1.90211 -1.82709 -0.81347 0.61803 1.73205 1.95630 1.17557 -0.20906 -1.48629 -2.00000 -1.48629 -0.20906 1.17557 1.95630 1.73205 0.61803 -0.81347 -1.82709 -1.90211 -1.00000 0.41582 1.61803 1.98904 1.33826 0.00000 -1.33826 -1.98904 -1.61803 -0.41582 1.00000 1.90211 1.82709 0.81347 -0.61803 -1.73205 -1.95630 -1.17557 0.20906 1.48629 2.00000 1.48629 0.20906 -1.17557 -1.95630 -1.73205 -0.61803 0.81347 1.82709 1.90211 1.00000 -0.41582 -1.61803 -1.98904 -1.33826 0.00000 1.33826 1.98904 1.61803 0.41582 -1.00000 -1.90211 -1.82709 -0.81347 0.61803 1.73205 1.95630 1.17557 -0.20906 -1.48629 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E22 2.00000 1.43868 0.06980 -1.33826 -1.99513 -1.53209 -0.20906 1.23132 1.98054 1.61803 0.34730 -1.11839 -1.95630 -1.69610 -0.48384 1.00000 1.92252 1.76590 0.61803 -0.87674 -1.87939 -1.82709 -0.74921 0.74921 1.82709 1.87939 0.87674 -0.61803 -1.76590 -1.92252 -1.00000 0.48384 1.69610 1.95630 1.11839 -0.34730 -1.61803 -1.98054 -1.23132 0.20906 1.53209 1.99513 1.33826 -0.06980 -1.43868 -2.00000 -1.43868 -0.06980 1.33826 1.99513 1.53209 0.20906 -1.23132 -1.98054 -1.61803 -0.34730 1.11839 1.95630 1.69610 0.48384 -1.00000 -1.92252 -1.76590 -0.61803 0.87674 1.87939 1.82709 0.74921 -0.74921 -1.82709 -1.87939 -0.87674 0.61803 1.76590 1.92252 1.00000 -0.48384 -1.69610 -1.95630 -1.11839 0.34730 1.61803 1.98054 1.23132 -0.20906 -1.53209 -1.99513 -1.33826 0.06980 1.43868 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E23 2.00000 1.38932 -0.06980 -1.48629 -1.99513 -1.28558 0.20906 1.57602 1.98054 1.17557 -0.34730 -1.65808 -1.95630 -1.05984 0.48384 1.73205 1.92252 0.93894 -0.61803 -1.79759 -1.87939 -0.81347 0.74921 1.85437 1.82709 0.68404 -0.87674 -1.90211 -1.76590 -0.55127 1.00000 1.94059 1.69610 0.41582 -1.11839 -1.96962 -1.61803 -0.27835 1.23132 1.98904 1.53209 0.13951 -1.33826 -1.99878 -1.43868 0.00000 1.43868 1.99878 1.33826 -0.13951 -1.53209 -1.98904 -1.23132 0.27835 1.61803 1.96962 1.11839 -0.41582 -1.69610 -1.94059 -1.00000 0.55127 1.76590 1.90211 0.87674 -0.68404 -1.82709 -1.85437 -0.74921 0.81347 1.87939 1.79759 0.61803 -0.93894 -1.92252 -1.73205 -0.48384 1.05984 1.95630 1.65808 0.34730 -1.17557 -1.98054 -1.57602 -0.20906 1.28558 1.99513 1.48629 0.06980 -1.38932 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E24 2.00000 1.33826 -0.20906 -1.61803 -1.95630 -1.00000 0.61803 1.82709 1.82709 0.61803 -1.00000 -1.95630 -1.61803 -0.20906 1.33826 2.00000 1.33826 -0.20906 -1.61803 -1.95630 -1.00000 0.61803 1.82709 1.82709 0.61803 -1.00000 -1.95630 -1.61803 -0.20906 1.33826 2.00000 1.33826 -0.20906 -1.61803 -1.95630 -1.00000 0.61803 1.82709 1.82709 0.61803 -1.00000 -1.95630 -1.61803 -0.20906 1.33826 2.00000 1.33826 -0.20906 -1.61803 -1.95630 -1.00000 0.61803 1.82709 1.82709 0.61803 -1.00000 -1.95630 -1.61803 -0.20906 1.33826 2.00000 1.33826 -0.20906 -1.61803 -1.95630 -1.00000 0.61803 1.82709 1.82709 0.61803 -1.00000 -1.95630 -1.61803 -0.20906 1.33826 2.00000 1.33826 -0.20906 -1.61803 -1.95630 -1.00000 0.61803 1.82709 1.82709 0.61803 -1.00000 -1.95630 -1.61803 -0.20906 1.33826 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E25 2.00000 1.28558 -0.34730 -1.73205 -1.87939 -0.68404 1.00000 1.96962 1.53209 0.00000 -1.53209 -1.96962 -1.00000 0.68404 1.87939 1.73205 0.34730 -1.28558 -2.00000 -1.28558 0.34730 1.73205 1.87939 0.68404 -1.00000 -1.96962 -1.53209 0.00000 1.53209 1.96962 1.00000 -0.68404 -1.87939 -1.73205 -0.34730 1.28558 2.00000 1.28558 -0.34730 -1.73205 -1.87939 -0.68404 1.00000 1.96962 1.53209 0.00000 -1.53209 -1.96962 -1.00000 0.68404 1.87939 1.73205 0.34730 -1.28558 -2.00000 -1.28558 0.34730 1.73205 1.87939 0.68404 -1.00000 -1.96962 -1.53209 0.00000 1.53209 1.96962 1.00000 -0.68404 -1.87939 -1.73205 -0.34730 1.28558 2.00000 1.28558 -0.34730 -1.73205 -1.87939 -0.68404 1.00000 1.96962 1.53209 0.00000 -1.53209 -1.96962 -1.00000 0.68404 1.87939 1.73205 0.34730 -1.28558 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E26 2.00000 1.23132 -0.48384 -1.82709 -1.76590 -0.34730 1.33826 1.99513 1.11839 -0.61803 -1.87939 -1.69610 -0.20906 1.43868 1.98054 1.00000 -0.74921 -1.92252 -1.61803 -0.06980 1.53209 1.95630 0.87674 -0.87674 -1.95630 -1.53209 0.06980 1.61803 1.92252 0.74921 -1.00000 -1.98054 -1.43868 0.20906 1.69610 1.87939 0.61803 -1.11839 -1.99513 -1.33826 0.34730 1.76590 1.82709 0.48384 -1.23132 -2.00000 -1.23132 0.48384 1.82709 1.76590 0.34730 -1.33826 -1.99513 -1.11839 0.61803 1.87939 1.69610 0.20906 -1.43868 -1.98054 -1.00000 0.74921 1.92252 1.61803 0.06980 -1.53209 -1.95630 -0.87674 0.87674 1.95630 1.53209 -0.06980 -1.61803 -1.92252 -0.74921 1.00000 1.98054 1.43868 -0.20906 -1.69610 -1.87939 -0.61803 1.11839 1.99513 1.33826 -0.34730 -1.76590 -1.82709 -0.48384 1.23132 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E27 2.00000 1.17557 -0.61803 -1.90211 -1.61803 0.00000 1.61803 1.90211 0.61803 -1.17557 -2.00000 -1.17557 0.61803 1.90211 1.61803 0.00000 -1.61803 -1.90211 -0.61803 1.17557 2.00000 1.17557 -0.61803 -1.90211 -1.61803 0.00000 1.61803 1.90211 0.61803 -1.17557 -2.00000 -1.17557 0.61803 1.90211 1.61803 0.00000 -1.61803 -1.90211 -0.61803 1.17557 2.00000 1.17557 -0.61803 -1.90211 -1.61803 0.00000 1.61803 1.90211 0.61803 -1.17557 -2.00000 -1.17557 0.61803 1.90211 1.61803 0.00000 -1.61803 -1.90211 -0.61803 1.17557 2.00000 1.17557 -0.61803 -1.90211 -1.61803 0.00000 1.61803 1.90211 0.61803 -1.17557 -2.00000 -1.17557 0.61803 1.90211 1.61803 0.00000 -1.61803 -1.90211 -0.61803 1.17557 2.00000 1.17557 -0.61803 -1.90211 -1.61803 0.00000 1.61803 1.90211 0.61803 -1.17557 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E28 2.00000 1.11839 -0.74921 -1.95630 -1.43868 0.34730 1.82709 1.69610 0.06980 -1.61803 -1.87939 -0.48384 1.33826 1.98054 0.87674 -1.00000 -1.99513 -1.23132 0.61803 1.92252 1.53209 -0.20906 -1.76590 -1.76590 -0.20906 1.53209 1.92252 0.61803 -1.23132 -1.99513 -1.00000 0.87674 1.98054 1.33826 -0.48384 -1.87939 -1.61803 0.06980 1.69610 1.82709 0.34730 -1.43868 -1.95630 -0.74921 1.11839 2.00000 1.11839 -0.74921 -1.95630 -1.43868 0.34730 1.82709 1.69610 0.06980 -1.61803 -1.87939 -0.48384 1.33826 1.98054 0.87674 -1.00000 -1.99513 -1.23132 0.61803 1.92252 1.53209 -0.20906 -1.76590 -1.76590 -0.20906 1.53209 1.92252 0.61803 -1.23132 -1.99513 -1.00000 0.87674 1.98054 1.33826 -0.48384 -1.87939 -1.61803 0.06980 1.69610 1.82709 0.34730 -1.43868 -1.95630 -0.74921 1.11839 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E29 2.00000 1.05984 -0.87674 -1.98904 -1.23132 0.68404 1.95630 1.38932 -0.48384 -1.90211 -1.53209 0.27835 1.82709 1.65808 -0.06980 -1.73205 -1.76590 -0.13951 1.61803 1.85437 0.34730 -1.48629 -1.92252 -0.55127 1.33826 1.96962 0.74921 -1.17557 -1.99513 -0.93894 1.00000 1.99878 1.11839 -0.81347 -1.98054 -1.28558 0.61803 1.94059 1.43868 -0.41582 -1.87939 -1.57602 0.20906 1.79759 1.69610 0.00000 -1.69610 -1.79759 -0.20906 1.57602 1.87939 0.41582 -1.43868 -1.94059 -0.61803 1.28558 1.98054 0.81347 -1.11839 -1.99878 -1.00000 0.93894 1.99513 1.17557 -0.74921 -1.96962 -1.33826 0.55127 1.92252 1.48629 -0.34730 -1.85437 -1.61803 0.13951 1.76590 1.73205 0.06980 -1.65808 -1.82709 -0.27835 1.53209 1.90211 0.48384 -1.38932 -1.95630 -0.68404 1.23132 1.98904 0.87674 -1.05984 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E30 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E31 2.00000 0.93894 -1.11839 -1.98904 -0.74921 1.28558 1.95630 0.55127 -1.43868 -1.90211 -0.34730 1.57602 1.82709 0.13951 -1.69610 -1.73205 0.06980 1.79759 1.61803 -0.27835 -1.87939 -1.48629 0.48384 1.94059 1.33826 -0.68404 -1.98054 -1.17557 0.87674 1.99878 1.00000 -1.05984 -1.99513 -0.81347 1.23132 1.96962 0.61803 -1.38932 -1.92252 -0.41582 1.53209 1.85437 0.20906 -1.65808 -1.76590 0.00000 1.76590 1.65808 -0.20906 -1.85437 -1.53209 0.41582 1.92252 1.38932 -0.61803 -1.96962 -1.23132 0.81347 1.99513 1.05984 -1.00000 -1.99878 -0.87674 1.17557 1.98054 0.68404 -1.33826 -1.94059 -0.48384 1.48629 1.87939 0.27835 -1.61803 -1.79759 -0.06980 1.73205 1.69610 -0.13951 -1.82709 -1.57602 0.34730 1.90211 1.43868 -0.55127 -1.95630 -1.28558 0.74921 1.98904 1.11839 -0.93894 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E32 2.00000 0.87674 -1.23132 -1.95630 -0.48384 1.53209 1.82709 0.06980 -1.76590 -1.61803 0.34730 1.92252 1.33826 -0.74921 -1.99513 -1.00000 1.11839 1.98054 0.61803 -1.43868 -1.87939 -0.20906 1.69610 1.69610 -0.20906 -1.87939 -1.43868 0.61803 1.98054 1.11839 -1.00000 -1.99513 -0.74921 1.33826 1.92252 0.34730 -1.61803 -1.76590 0.06980 1.82709 1.53209 -0.48384 -1.95630 -1.23132 0.87674 2.00000 0.87674 -1.23132 -1.95630 -0.48384 1.53209 1.82709 0.06980 -1.76590 -1.61803 0.34730 1.92252 1.33826 -0.74921 -1.99513 -1.00000 1.11839 1.98054 0.61803 -1.43868 -1.87939 -0.20906 1.69610 1.69610 -0.20906 -1.87939 -1.43868 0.61803 1.98054 1.11839 -1.00000 -1.99513 -0.74921 1.33826 1.92252 0.34730 -1.61803 -1.76590 0.06980 1.82709 1.53209 -0.48384 -1.95630 -1.23132 0.87674 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E33 2.00000 0.81347 -1.33826 -1.90211 -0.20906 1.73205 1.61803 -0.41582 -1.95630 -1.17557 1.00000 1.98904 0.61803 -1.48629 -1.82709 0.00000 1.82709 1.48629 -0.61803 -1.98904 -1.00000 1.17557 1.95630 0.41582 -1.61803 -1.73205 0.20906 1.90211 1.33826 -0.81347 -2.00000 -0.81347 1.33826 1.90211 0.20906 -1.73205 -1.61803 0.41582 1.95630 1.17557 -1.00000 -1.98904 -0.61803 1.48629 1.82709 0.00000 -1.82709 -1.48629 0.61803 1.98904 1.00000 -1.17557 -1.95630 -0.41582 1.61803 1.73205 -0.20906 -1.90211 -1.33826 0.81347 2.00000 0.81347 -1.33826 -1.90211 -0.20906 1.73205 1.61803 -0.41582 -1.95630 -1.17557 1.00000 1.98904 0.61803 -1.48629 -1.82709 0.00000 1.82709 1.48629 -0.61803 -1.98904 -1.00000 1.17557 1.95630 0.41582 -1.61803 -1.73205 0.20906 1.90211 1.33826 -0.81347 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E34 2.00000 0.74921 -1.43868 -1.82709 0.06980 1.87939 1.33826 -0.87674 -1.99513 -0.61803 1.53209 1.76590 -0.20906 -1.92252 -1.23132 1.00000 1.98054 0.48384 -1.61803 -1.69610 0.34730 1.95630 1.11839 -1.11839 -1.95630 -0.34730 1.69610 1.61803 -0.48384 -1.98054 -1.00000 1.23132 1.92252 0.20906 -1.76590 -1.53209 0.61803 1.99513 0.87674 -1.33826 -1.87939 -0.06980 1.82709 1.43868 -0.74921 -2.00000 -0.74921 1.43868 1.82709 -0.06980 -1.87939 -1.33826 0.87674 1.99513 0.61803 -1.53209 -1.76590 0.20906 1.92252 1.23132 -1.00000 -1.98054 -0.48384 1.61803 1.69610 -0.34730 -1.95630 -1.11839 1.11839 1.95630 0.34730 -1.69610 -1.61803 0.48384 1.98054 1.00000 -1.23132 -1.92252 -0.20906 1.76590 1.53209 -0.61803 -1.99513 -0.87674 1.33826 1.87939 0.06980 -1.82709 -1.43868 0.74921 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E35 2.00000 0.68404 -1.53209 -1.73205 0.34730 1.96962 1.00000 -1.28558 -1.87939 0.00000 1.87939 1.28558 -1.00000 -1.96962 -0.34730 1.73205 1.53209 -0.68404 -2.00000 -0.68404 1.53209 1.73205 -0.34730 -1.96962 -1.00000 1.28558 1.87939 0.00000 -1.87939 -1.28558 1.00000 1.96962 0.34730 -1.73205 -1.53209 0.68404 2.00000 0.68404 -1.53209 -1.73205 0.34730 1.96962 1.00000 -1.28558 -1.87939 0.00000 1.87939 1.28558 -1.00000 -1.96962 -0.34730 1.73205 1.53209 -0.68404 -2.00000 -0.68404 1.53209 1.73205 -0.34730 -1.96962 -1.00000 1.28558 1.87939 0.00000 -1.87939 -1.28558 1.00000 1.96962 0.34730 -1.73205 -1.53209 0.68404 2.00000 0.68404 -1.53209 -1.73205 0.34730 1.96962 1.00000 -1.28558 -1.87939 0.00000 1.87939 1.28558 -1.00000 -1.96962 -0.34730 1.73205 1.53209 -0.68404 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E36 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.61803 -1.61803 -1.61803 0.61803 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E37 2.00000 0.55127 -1.69610 -1.48629 0.87674 1.96962 0.20906 -1.85437 -1.23132 1.17557 1.87939 -0.13951 -1.95630 -0.93894 1.43868 1.73205 -0.48384 -1.99878 -0.61803 1.65808 1.53209 -0.81347 -1.98054 -0.27835 1.82709 1.28558 -1.11839 -1.90211 0.06980 1.94059 1.00000 -1.38932 -1.76590 0.41582 1.99513 0.68404 -1.61803 -1.57602 0.74921 1.98904 0.34730 -1.79759 -1.33826 1.05984 1.92252 0.00000 -1.92252 -1.05984 1.33826 1.79759 -0.34730 -1.98904 -0.74921 1.57602 1.61803 -0.68404 -1.99513 -0.41582 1.76590 1.38932 -1.00000 -1.94059 -0.06980 1.90211 1.11839 -1.28558 -1.82709 0.27835 1.98054 0.81347 -1.53209 -1.65808 0.61803 1.99878 0.48384 -1.73205 -1.43868 0.93894 1.95630 0.13951 -1.87939 -1.17557 1.23132 1.85437 -0.20906 -1.96962 -0.87674 1.48629 1.69610 -0.55127 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E38 2.00000 0.48384 -1.76590 -1.33826 1.11839 1.87939 -0.20906 -1.98054 -0.74921 1.61803 1.53209 -0.87674 -1.95630 -0.06980 1.92252 1.00000 -1.43868 -1.69610 0.61803 1.99513 0.34730 -1.82709 -1.23132 1.23132 1.82709 -0.34730 -1.99513 -0.61803 1.69610 1.43868 -1.00000 -1.92252 0.06980 1.95630 0.87674 -1.53209 -1.61803 0.74921 1.98054 0.20906 -1.87939 -1.11839 1.33826 1.76590 -0.48384 -2.00000 -0.48384 1.76590 1.33826 -1.11839 -1.87939 0.20906 1.98054 0.74921 -1.61803 -1.53209 0.87674 1.95630 0.06980 -1.92252 -1.00000 1.43868 1.69610 -0.61803 -1.99513 -0.34730 1.82709 1.23132 -1.23132 -1.82709 0.34730 1.99513 0.61803 -1.69610 -1.43868 1.00000 1.92252 -0.06980 -1.95630 -0.87674 1.53209 1.61803 -0.74921 -1.98054 -0.20906 1.87939 1.11839 -1.33826 -1.76590 0.48384 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E39 2.00000 0.41582 -1.82709 -1.17557 1.33826 1.73205 -0.61803 -1.98904 -0.20906 1.90211 1.00000 -1.48629 -1.61803 0.81347 1.95630 0.00000 -1.95630 -0.81347 1.61803 1.48629 -1.00000 -1.90211 0.20906 1.98904 0.61803 -1.73205 -1.33826 1.17557 1.82709 -0.41582 -2.00000 -0.41582 1.82709 1.17557 -1.33826 -1.73205 0.61803 1.98904 0.20906 -1.90211 -1.00000 1.48629 1.61803 -0.81347 -1.95630 0.00000 1.95630 0.81347 -1.61803 -1.48629 1.00000 1.90211 -0.20906 -1.98904 -0.61803 1.73205 1.33826 -1.17557 -1.82709 0.41582 2.00000 0.41582 -1.82709 -1.17557 1.33826 1.73205 -0.61803 -1.98904 -0.20906 1.90211 1.00000 -1.48629 -1.61803 0.81347 1.95630 0.00000 -1.95630 -0.81347 1.61803 1.48629 -1.00000 -1.90211 0.20906 1.98904 0.61803 -1.73205 -1.33826 1.17557 1.82709 -0.41582 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E40 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E41 2.00000 0.27835 -1.92252 -0.81347 1.69610 1.28558 -1.33826 -1.65808 0.87674 1.90211 -0.34730 -1.99878 -0.20906 1.94059 0.74921 -1.73205 -1.23132 1.38932 1.61803 -0.93894 -1.87939 0.41582 1.99513 0.13951 -1.95630 -0.68404 1.76590 1.17557 -1.43868 -1.57602 1.00000 1.85437 -0.48384 -1.98904 -0.06980 1.96962 0.61803 -1.79759 -1.11839 1.48629 1.53209 -1.05984 -1.82709 0.55127 1.98054 0.00000 -1.98054 -0.55127 1.82709 1.05984 -1.53209 -1.48629 1.11839 1.79759 -0.61803 -1.96962 0.06980 1.98904 0.48384 -1.85437 -1.00000 1.57602 1.43868 -1.17557 -1.76590 0.68404 1.95630 -0.13951 -1.99513 -0.41582 1.87939 0.93894 -1.61803 -1.38932 1.23132 1.73205 -0.74921 -1.94059 0.20906 1.99878 0.34730 -1.90211 -0.87674 1.65808 1.33826 -1.28558 -1.69610 0.81347 1.92252 -0.27835 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E42 2.00000 0.20906 -1.95630 -0.61803 1.82709 1.00000 -1.61803 -1.33826 1.33826 1.61803 -1.00000 -1.82709 0.61803 1.95630 -0.20906 -2.00000 -0.20906 1.95630 0.61803 -1.82709 -1.00000 1.61803 1.33826 -1.33826 -1.61803 1.00000 1.82709 -0.61803 -1.95630 0.20906 2.00000 0.20906 -1.95630 -0.61803 1.82709 1.00000 -1.61803 -1.33826 1.33826 1.61803 -1.00000 -1.82709 0.61803 1.95630 -0.20906 -2.00000 -0.20906 1.95630 0.61803 -1.82709 -1.00000 1.61803 1.33826 -1.33826 -1.61803 1.00000 1.82709 -0.61803 -1.95630 0.20906 2.00000 0.20906 -1.95630 -0.61803 1.82709 1.00000 -1.61803 -1.33826 1.33826 1.61803 -1.00000 -1.82709 0.61803 1.95630 -0.20906 -2.00000 -0.20906 1.95630 0.61803 -1.82709 -1.00000 1.61803 1.33826 -1.33826 -1.61803 1.00000 1.82709 -0.61803 -1.95630 0.20906 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E43 2.00000 0.13951 -1.98054 -0.41582 1.92252 0.68404 -1.82709 -0.93894 1.69610 1.17557 -1.53209 -1.38932 1.33826 1.57602 -1.11839 -1.73205 0.87674 1.85437 -0.61803 -1.94059 0.34730 1.98904 -0.06980 -1.99878 -0.20906 1.96962 0.48384 -1.90211 -0.74921 1.79759 1.00000 -1.65808 -1.23132 1.48629 1.43868 -1.28558 -1.61803 1.05984 1.76590 -0.81347 -1.87939 0.55127 1.95630 -0.27835 -1.99513 0.00000 1.99513 0.27835 -1.95630 -0.55127 1.87939 0.81347 -1.76590 -1.05984 1.61803 1.28558 -1.43868 -1.48629 1.23132 1.65808 -1.00000 -1.79759 0.74921 1.90211 -0.48384 -1.96962 0.20906 1.99878 0.06980 -1.98904 -0.34730 1.94059 0.61803 -1.85437 -0.87674 1.73205 1.11839 -1.57602 -1.33826 1.38932 1.53209 -1.17557 -1.69610 0.93894 1.82709 -0.68404 -1.92252 0.41582 1.98054 -0.13951 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E44 2.00000 0.06980 -1.99513 -0.20906 1.98054 0.34730 -1.95630 -0.48384 1.92252 0.61803 -1.87939 -0.74921 1.82709 0.87674 -1.76590 -1.00000 1.69610 1.11839 -1.61803 -1.23132 1.53209 1.33826 -1.43868 -1.43868 1.33826 1.53209 -1.23132 -1.61803 1.11839 1.69610 -1.00000 -1.76590 0.87674 1.82709 -0.74921 -1.87939 0.61803 1.92252 -0.48384 -1.95630 0.34730 1.98054 -0.20906 -1.99513 0.06980 2.00000 0.06980 -1.99513 -0.20906 1.98054 0.34730 -1.95630 -0.48384 1.92252 0.61803 -1.87939 -0.74921 1.82709 0.87674 -1.76590 -1.00000 1.69610 1.11839 -1.61803 -1.23132 1.53209 1.33826 -1.43868 -1.43868 1.33826 1.53209 -1.23132 -1.61803 1.11839 1.69610 -1.00000 -1.76590 0.87674 1.82709 -0.74921 -1.87939 0.61803 1.92252 -0.48384 -1.95630 0.34730 1.98054 -0.20906 -1.99513 0.06980 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E45 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E46 2.00000 -0.06980 -1.99513 0.20906 1.98054 -0.34730 -1.95630 0.48384 1.92252 -0.61803 -1.87939 0.74921 1.82709 -0.87674 -1.76590 1.00000 1.69610 -1.11839 -1.61803 1.23132 1.53209 -1.33826 -1.43868 1.43868 1.33826 -1.53209 -1.23132 1.61803 1.11839 -1.69610 -1.00000 1.76590 0.87674 -1.82709 -0.74921 1.87939 0.61803 -1.92252 -0.48384 1.95630 0.34730 -1.98054 -0.20906 1.99513 0.06980 -2.00000 0.06980 1.99513 -0.20906 -1.98054 0.34730 1.95630 -0.48384 -1.92252 0.61803 1.87939 -0.74921 -1.82709 0.87674 1.76590 -1.00000 -1.69610 1.11839 1.61803 -1.23132 -1.53209 1.33826 1.43868 -1.43868 -1.33826 1.53209 1.23132 -1.61803 -1.11839 1.69610 1.00000 -1.76590 -0.87674 1.82709 0.74921 -1.87939 -0.61803 1.92252 0.48384 -1.95630 -0.34730 1.98054 0.20906 -1.99513 -0.06980 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E47 2.00000 -0.13951 -1.98054 0.41582 1.92252 -0.68404 -1.82709 0.93894 1.69610 -1.17557 -1.53209 1.38932 1.33826 -1.57602 -1.11839 1.73205 0.87674 -1.85437 -0.61803 1.94059 0.34730 -1.98904 -0.06980 1.99878 -0.20906 -1.96962 0.48384 1.90211 -0.74921 -1.79759 1.00000 1.65808 -1.23132 -1.48629 1.43868 1.28558 -1.61803 -1.05984 1.76590 0.81347 -1.87939 -0.55127 1.95630 0.27835 -1.99513 0.00000 1.99513 -0.27835 -1.95630 0.55127 1.87939 -0.81347 -1.76590 1.05984 1.61803 -1.28558 -1.43868 1.48629 1.23132 -1.65808 -1.00000 1.79759 0.74921 -1.90211 -0.48384 1.96962 0.20906 -1.99878 0.06980 1.98904 -0.34730 -1.94059 0.61803 1.85437 -0.87674 -1.73205 1.11839 1.57602 -1.33826 -1.38932 1.53209 1.17557 -1.69610 -0.93894 1.82709 0.68404 -1.92252 -0.41582 1.98054 0.13951 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E48 2.00000 -0.20906 -1.95630 0.61803 1.82709 -1.00000 -1.61803 1.33826 1.33826 -1.61803 -1.00000 1.82709 0.61803 -1.95630 -0.20906 2.00000 -0.20906 -1.95630 0.61803 1.82709 -1.00000 -1.61803 1.33826 1.33826 -1.61803 -1.00000 1.82709 0.61803 -1.95630 -0.20906 2.00000 -0.20906 -1.95630 0.61803 1.82709 -1.00000 -1.61803 1.33826 1.33826 -1.61803 -1.00000 1.82709 0.61803 -1.95630 -0.20906 2.00000 -0.20906 -1.95630 0.61803 1.82709 -1.00000 -1.61803 1.33826 1.33826 -1.61803 -1.00000 1.82709 0.61803 -1.95630 -0.20906 2.00000 -0.20906 -1.95630 0.61803 1.82709 -1.00000 -1.61803 1.33826 1.33826 -1.61803 -1.00000 1.82709 0.61803 -1.95630 -0.20906 2.00000 -0.20906 -1.95630 0.61803 1.82709 -1.00000 -1.61803 1.33826 1.33826 -1.61803 -1.00000 1.82709 0.61803 -1.95630 -0.20906 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E49 2.00000 -0.27835 -1.92252 0.81347 1.69610 -1.28558 -1.33826 1.65808 0.87674 -1.90211 -0.34730 1.99878 -0.20906 -1.94059 0.74921 1.73205 -1.23132 -1.38932 1.61803 0.93894 -1.87939 -0.41582 1.99513 -0.13951 -1.95630 0.68404 1.76590 -1.17557 -1.43868 1.57602 1.00000 -1.85437 -0.48384 1.98904 -0.06980 -1.96962 0.61803 1.79759 -1.11839 -1.48629 1.53209 1.05984 -1.82709 -0.55127 1.98054 0.00000 -1.98054 0.55127 1.82709 -1.05984 -1.53209 1.48629 1.11839 -1.79759 -0.61803 1.96962 0.06980 -1.98904 0.48384 1.85437 -1.00000 -1.57602 1.43868 1.17557 -1.76590 -0.68404 1.95630 0.13951 -1.99513 0.41582 1.87939 -0.93894 -1.61803 1.38932 1.23132 -1.73205 -0.74921 1.94059 0.20906 -1.99878 0.34730 1.90211 -0.87674 -1.65808 1.33826 1.28558 -1.69610 -0.81347 1.92252 0.27835 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E50 2.00000 -0.34730 -1.87939 1.00000 1.53209 -1.53209 -1.00000 1.87939 0.34730 -2.00000 0.34730 1.87939 -1.00000 -1.53209 1.53209 1.00000 -1.87939 -0.34730 2.00000 -0.34730 -1.87939 1.00000 1.53209 -1.53209 -1.00000 1.87939 0.34730 -2.00000 0.34730 1.87939 -1.00000 -1.53209 1.53209 1.00000 -1.87939 -0.34730 2.00000 -0.34730 -1.87939 1.00000 1.53209 -1.53209 -1.00000 1.87939 0.34730 -2.00000 0.34730 1.87939 -1.00000 -1.53209 1.53209 1.00000 -1.87939 -0.34730 2.00000 -0.34730 -1.87939 1.00000 1.53209 -1.53209 -1.00000 1.87939 0.34730 -2.00000 0.34730 1.87939 -1.00000 -1.53209 1.53209 1.00000 -1.87939 -0.34730 2.00000 -0.34730 -1.87939 1.00000 1.53209 -1.53209 -1.00000 1.87939 0.34730 -2.00000 0.34730 1.87939 -1.00000 -1.53209 1.53209 1.00000 -1.87939 -0.34730 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E51 2.00000 -0.41582 -1.82709 1.17557 1.33826 -1.73205 -0.61803 1.98904 -0.20906 -1.90211 1.00000 1.48629 -1.61803 -0.81347 1.95630 0.00000 -1.95630 0.81347 1.61803 -1.48629 -1.00000 1.90211 0.20906 -1.98904 0.61803 1.73205 -1.33826 -1.17557 1.82709 0.41582 -2.00000 0.41582 1.82709 -1.17557 -1.33826 1.73205 0.61803 -1.98904 0.20906 1.90211 -1.00000 -1.48629 1.61803 0.81347 -1.95630 0.00000 1.95630 -0.81347 -1.61803 1.48629 1.00000 -1.90211 -0.20906 1.98904 -0.61803 -1.73205 1.33826 1.17557 -1.82709 -0.41582 2.00000 -0.41582 -1.82709 1.17557 1.33826 -1.73205 -0.61803 1.98904 -0.20906 -1.90211 1.00000 1.48629 -1.61803 -0.81347 1.95630 0.00000 -1.95630 0.81347 1.61803 -1.48629 -1.00000 1.90211 0.20906 -1.98904 0.61803 1.73205 -1.33826 -1.17557 1.82709 0.41582 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E52 2.00000 -0.48384 -1.76590 1.33826 1.11839 -1.87939 -0.20906 1.98054 -0.74921 -1.61803 1.53209 0.87674 -1.95630 0.06980 1.92252 -1.00000 -1.43868 1.69610 0.61803 -1.99513 0.34730 1.82709 -1.23132 -1.23132 1.82709 0.34730 -1.99513 0.61803 1.69610 -1.43868 -1.00000 1.92252 0.06980 -1.95630 0.87674 1.53209 -1.61803 -0.74921 1.98054 -0.20906 -1.87939 1.11839 1.33826 -1.76590 -0.48384 2.00000 -0.48384 -1.76590 1.33826 1.11839 -1.87939 -0.20906 1.98054 -0.74921 -1.61803 1.53209 0.87674 -1.95630 0.06980 1.92252 -1.00000 -1.43868 1.69610 0.61803 -1.99513 0.34730 1.82709 -1.23132 -1.23132 1.82709 0.34730 -1.99513 0.61803 1.69610 -1.43868 -1.00000 1.92252 0.06980 -1.95630 0.87674 1.53209 -1.61803 -0.74921 1.98054 -0.20906 -1.87939 1.11839 1.33826 -1.76590 -0.48384 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E53 2.00000 -0.55127 -1.69610 1.48629 0.87674 -1.96962 0.20906 1.85437 -1.23132 -1.17557 1.87939 0.13951 -1.95630 0.93894 1.43868 -1.73205 -0.48384 1.99878 -0.61803 -1.65808 1.53209 0.81347 -1.98054 0.27835 1.82709 -1.28558 -1.11839 1.90211 0.06980 -1.94059 1.00000 1.38932 -1.76590 -0.41582 1.99513 -0.68404 -1.61803 1.57602 0.74921 -1.98904 0.34730 1.79759 -1.33826 -1.05984 1.92252 0.00000 -1.92252 1.05984 1.33826 -1.79759 -0.34730 1.98904 -0.74921 -1.57602 1.61803 0.68404 -1.99513 0.41582 1.76590 -1.38932 -1.00000 1.94059 -0.06980 -1.90211 1.11839 1.28558 -1.82709 -0.27835 1.98054 -0.81347 -1.53209 1.65808 0.61803 -1.99878 0.48384 1.73205 -1.43868 -0.93894 1.95630 -0.13951 -1.87939 1.17557 1.23132 -1.85437 -0.20906 1.96962 -0.87674 -1.48629 1.69610 0.55127 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E54 2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.61803 1.61803 -1.61803 -0.61803 2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.61803 1.61803 -1.61803 -0.61803 2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.61803 1.61803 -1.61803 -0.61803 2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.61803 1.61803 -1.61803 -0.61803 2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.61803 1.61803 -1.61803 -0.61803 2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.61803 1.61803 -1.61803 -0.61803 2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.61803 1.61803 -1.61803 -0.61803 2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.61803 1.61803 -1.61803 -0.61803 2.00000 -0.61803 -1.61803 1.61803 0.61803 -2.00000 0.61803 1.61803 -1.61803 -0.61803 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E55 2.00000 -0.68404 -1.53209 1.73205 0.34730 -1.96962 1.00000 1.28558 -1.87939 0.00000 1.87939 -1.28558 -1.00000 1.96962 -0.34730 -1.73205 1.53209 0.68404 -2.00000 0.68404 1.53209 -1.73205 -0.34730 1.96962 -1.00000 -1.28558 1.87939 0.00000 -1.87939 1.28558 1.00000 -1.96962 0.34730 1.73205 -1.53209 -0.68404 2.00000 -0.68404 -1.53209 1.73205 0.34730 -1.96962 1.00000 1.28558 -1.87939 0.00000 1.87939 -1.28558 -1.00000 1.96962 -0.34730 -1.73205 1.53209 0.68404 -2.00000 0.68404 1.53209 -1.73205 -0.34730 1.96962 -1.00000 -1.28558 1.87939 0.00000 -1.87939 1.28558 1.00000 -1.96962 0.34730 1.73205 -1.53209 -0.68404 2.00000 -0.68404 -1.53209 1.73205 0.34730 -1.96962 1.00000 1.28558 -1.87939 0.00000 1.87939 -1.28558 -1.00000 1.96962 -0.34730 -1.73205 1.53209 0.68404 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E56 2.00000 -0.74921 -1.43868 1.82709 0.06980 -1.87939 1.33826 0.87674 -1.99513 0.61803 1.53209 -1.76590 -0.20906 1.92252 -1.23132 -1.00000 1.98054 -0.48384 -1.61803 1.69610 0.34730 -1.95630 1.11839 1.11839 -1.95630 0.34730 1.69610 -1.61803 -0.48384 1.98054 -1.00000 -1.23132 1.92252 -0.20906 -1.76590 1.53209 0.61803 -1.99513 0.87674 1.33826 -1.87939 0.06980 1.82709 -1.43868 -0.74921 2.00000 -0.74921 -1.43868 1.82709 0.06980 -1.87939 1.33826 0.87674 -1.99513 0.61803 1.53209 -1.76590 -0.20906 1.92252 -1.23132 -1.00000 1.98054 -0.48384 -1.61803 1.69610 0.34730 -1.95630 1.11839 1.11839 -1.95630 0.34730 1.69610 -1.61803 -0.48384 1.98054 -1.00000 -1.23132 1.92252 -0.20906 -1.76590 1.53209 0.61803 -1.99513 0.87674 1.33826 -1.87939 0.06980 1.82709 -1.43868 -0.74921 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E57 2.00000 -0.81347 -1.33826 1.90211 -0.20906 -1.73205 1.61803 0.41582 -1.95630 1.17557 1.00000 -1.98904 0.61803 1.48629 -1.82709 0.00000 1.82709 -1.48629 -0.61803 1.98904 -1.00000 -1.17557 1.95630 -0.41582 -1.61803 1.73205 0.20906 -1.90211 1.33826 0.81347 -2.00000 0.81347 1.33826 -1.90211 0.20906 1.73205 -1.61803 -0.41582 1.95630 -1.17557 -1.00000 1.98904 -0.61803 -1.48629 1.82709 0.00000 -1.82709 1.48629 0.61803 -1.98904 1.00000 1.17557 -1.95630 0.41582 1.61803 -1.73205 -0.20906 1.90211 -1.33826 -0.81347 2.00000 -0.81347 -1.33826 1.90211 -0.20906 -1.73205 1.61803 0.41582 -1.95630 1.17557 1.00000 -1.98904 0.61803 1.48629 -1.82709 0.00000 1.82709 -1.48629 -0.61803 1.98904 -1.00000 -1.17557 1.95630 -0.41582 -1.61803 1.73205 0.20906 -1.90211 1.33826 0.81347 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E58 2.00000 -0.87674 -1.23132 1.95630 -0.48384 -1.53209 1.82709 -0.06980 -1.76590 1.61803 0.34730 -1.92252 1.33826 0.74921 -1.99513 1.00000 1.11839 -1.98054 0.61803 1.43868 -1.87939 0.20906 1.69610 -1.69610 -0.20906 1.87939 -1.43868 -0.61803 1.98054 -1.11839 -1.00000 1.99513 -0.74921 -1.33826 1.92252 -0.34730 -1.61803 1.76590 0.06980 -1.82709 1.53209 0.48384 -1.95630 1.23132 0.87674 -2.00000 0.87674 1.23132 -1.95630 0.48384 1.53209 -1.82709 0.06980 1.76590 -1.61803 -0.34730 1.92252 -1.33826 -0.74921 1.99513 -1.00000 -1.11839 1.98054 -0.61803 -1.43868 1.87939 -0.20906 -1.69610 1.69610 0.20906 -1.87939 1.43868 0.61803 -1.98054 1.11839 1.00000 -1.99513 0.74921 1.33826 -1.92252 0.34730 1.61803 -1.76590 -0.06980 1.82709 -1.53209 -0.48384 1.95630 -1.23132 -0.87674 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E59 2.00000 -0.93894 -1.11839 1.98904 -0.74921 -1.28558 1.95630 -0.55127 -1.43868 1.90211 -0.34730 -1.57602 1.82709 -0.13951 -1.69610 1.73205 0.06980 -1.79759 1.61803 0.27835 -1.87939 1.48629 0.48384 -1.94059 1.33826 0.68404 -1.98054 1.17557 0.87674 -1.99878 1.00000 1.05984 -1.99513 0.81347 1.23132 -1.96962 0.61803 1.38932 -1.92252 0.41582 1.53209 -1.85437 0.20906 1.65808 -1.76590 0.00000 1.76590 -1.65808 -0.20906 1.85437 -1.53209 -0.41582 1.92252 -1.38932 -0.61803 1.96962 -1.23132 -0.81347 1.99513 -1.05984 -1.00000 1.99878 -0.87674 -1.17557 1.98054 -0.68404 -1.33826 1.94059 -0.48384 -1.48629 1.87939 -0.27835 -1.61803 1.79759 -0.06980 -1.73205 1.69610 0.13951 -1.82709 1.57602 0.34730 -1.90211 1.43868 0.55127 -1.95630 1.28558 0.74921 -1.98904 1.11839 0.93894 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E60 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E61 2.00000 -1.05984 -0.87674 1.98904 -1.23132 -0.68404 1.95630 -1.38932 -0.48384 1.90211 -1.53209 -0.27835 1.82709 -1.65808 -0.06980 1.73205 -1.76590 0.13951 1.61803 -1.85437 0.34730 1.48629 -1.92252 0.55127 1.33826 -1.96962 0.74921 1.17557 -1.99513 0.93894 1.00000 -1.99878 1.11839 0.81347 -1.98054 1.28558 0.61803 -1.94059 1.43868 0.41582 -1.87939 1.57602 0.20906 -1.79759 1.69610 0.00000 -1.69610 1.79759 -0.20906 -1.57602 1.87939 -0.41582 -1.43868 1.94059 -0.61803 -1.28558 1.98054 -0.81347 -1.11839 1.99878 -1.00000 -0.93894 1.99513 -1.17557 -0.74921 1.96962 -1.33826 -0.55127 1.92252 -1.48629 -0.34730 1.85437 -1.61803 -0.13951 1.76590 -1.73205 0.06980 1.65808 -1.82709 0.27835 1.53209 -1.90211 0.48384 1.38932 -1.95630 0.68404 1.23132 -1.98904 0.87674 1.05984 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E62 2.00000 -1.11839 -0.74921 1.95630 -1.43868 -0.34730 1.82709 -1.69610 0.06980 1.61803 -1.87939 0.48384 1.33826 -1.98054 0.87674 1.00000 -1.99513 1.23132 0.61803 -1.92252 1.53209 0.20906 -1.76590 1.76590 -0.20906 -1.53209 1.92252 -0.61803 -1.23132 1.99513 -1.00000 -0.87674 1.98054 -1.33826 -0.48384 1.87939 -1.61803 -0.06980 1.69610 -1.82709 0.34730 1.43868 -1.95630 0.74921 1.11839 -2.00000 1.11839 0.74921 -1.95630 1.43868 0.34730 -1.82709 1.69610 -0.06980 -1.61803 1.87939 -0.48384 -1.33826 1.98054 -0.87674 -1.00000 1.99513 -1.23132 -0.61803 1.92252 -1.53209 -0.20906 1.76590 -1.76590 0.20906 1.53209 -1.92252 0.61803 1.23132 -1.99513 1.00000 0.87674 -1.98054 1.33826 0.48384 -1.87939 1.61803 0.06980 -1.69610 1.82709 -0.34730 -1.43868 1.95630 -0.74921 -1.11839 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E63 2.00000 -1.17557 -0.61803 1.90211 -1.61803 0.00000 1.61803 -1.90211 0.61803 1.17557 -2.00000 1.17557 0.61803 -1.90211 1.61803 0.00000 -1.61803 1.90211 -0.61803 -1.17557 2.00000 -1.17557 -0.61803 1.90211 -1.61803 0.00000 1.61803 -1.90211 0.61803 1.17557 -2.00000 1.17557 0.61803 -1.90211 1.61803 0.00000 -1.61803 1.90211 -0.61803 -1.17557 2.00000 -1.17557 -0.61803 1.90211 -1.61803 0.00000 1.61803 -1.90211 0.61803 1.17557 -2.00000 1.17557 0.61803 -1.90211 1.61803 0.00000 -1.61803 1.90211 -0.61803 -1.17557 2.00000 -1.17557 -0.61803 1.90211 -1.61803 0.00000 1.61803 -1.90211 0.61803 1.17557 -2.00000 1.17557 0.61803 -1.90211 1.61803 0.00000 -1.61803 1.90211 -0.61803 -1.17557 2.00000 -1.17557 -0.61803 1.90211 -1.61803 0.00000 1.61803 -1.90211 0.61803 1.17557 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E64 2.00000 -1.23132 -0.48384 1.82709 -1.76590 0.34730 1.33826 -1.99513 1.11839 0.61803 -1.87939 1.69610 -0.20906 -1.43868 1.98054 -1.00000 -0.74921 1.92252 -1.61803 0.06980 1.53209 -1.95630 0.87674 0.87674 -1.95630 1.53209 0.06980 -1.61803 1.92252 -0.74921 -1.00000 1.98054 -1.43868 -0.20906 1.69610 -1.87939 0.61803 1.11839 -1.99513 1.33826 0.34730 -1.76590 1.82709 -0.48384 -1.23132 2.00000 -1.23132 -0.48384 1.82709 -1.76590 0.34730 1.33826 -1.99513 1.11839 0.61803 -1.87939 1.69610 -0.20906 -1.43868 1.98054 -1.00000 -0.74921 1.92252 -1.61803 0.06980 1.53209 -1.95630 0.87674 0.87674 -1.95630 1.53209 0.06980 -1.61803 1.92252 -0.74921 -1.00000 1.98054 -1.43868 -0.20906 1.69610 -1.87939 0.61803 1.11839 -1.99513 1.33826 0.34730 -1.76590 1.82709 -0.48384 -1.23132 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E65 2.00000 -1.28558 -0.34730 1.73205 -1.87939 0.68404 1.00000 -1.96962 1.53209 0.00000 -1.53209 1.96962 -1.00000 -0.68404 1.87939 -1.73205 0.34730 1.28558 -2.00000 1.28558 0.34730 -1.73205 1.87939 -0.68404 -1.00000 1.96962 -1.53209 0.00000 1.53209 -1.96962 1.00000 0.68404 -1.87939 1.73205 -0.34730 -1.28558 2.00000 -1.28558 -0.34730 1.73205 -1.87939 0.68404 1.00000 -1.96962 1.53209 0.00000 -1.53209 1.96962 -1.00000 -0.68404 1.87939 -1.73205 0.34730 1.28558 -2.00000 1.28558 0.34730 -1.73205 1.87939 -0.68404 -1.00000 1.96962 -1.53209 0.00000 1.53209 -1.96962 1.00000 0.68404 -1.87939 1.73205 -0.34730 -1.28558 2.00000 -1.28558 -0.34730 1.73205 -1.87939 0.68404 1.00000 -1.96962 1.53209 0.00000 -1.53209 1.96962 -1.00000 -0.68404 1.87939 -1.73205 0.34730 1.28558 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E66 2.00000 -1.33826 -0.20906 1.61803 -1.95630 1.00000 0.61803 -1.82709 1.82709 -0.61803 -1.00000 1.95630 -1.61803 0.20906 1.33826 -2.00000 1.33826 0.20906 -1.61803 1.95630 -1.00000 -0.61803 1.82709 -1.82709 0.61803 1.00000 -1.95630 1.61803 -0.20906 -1.33826 2.00000 -1.33826 -0.20906 1.61803 -1.95630 1.00000 0.61803 -1.82709 1.82709 -0.61803 -1.00000 1.95630 -1.61803 0.20906 1.33826 -2.00000 1.33826 0.20906 -1.61803 1.95630 -1.00000 -0.61803 1.82709 -1.82709 0.61803 1.00000 -1.95630 1.61803 -0.20906 -1.33826 2.00000 -1.33826 -0.20906 1.61803 -1.95630 1.00000 0.61803 -1.82709 1.82709 -0.61803 -1.00000 1.95630 -1.61803 0.20906 1.33826 -2.00000 1.33826 0.20906 -1.61803 1.95630 -1.00000 -0.61803 1.82709 -1.82709 0.61803 1.00000 -1.95630 1.61803 -0.20906 -1.33826 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E67 2.00000 -1.38932 -0.06980 1.48629 -1.99513 1.28558 0.20906 -1.57602 1.98054 -1.17557 -0.34730 1.65808 -1.95630 1.05984 0.48384 -1.73205 1.92252 -0.93894 -0.61803 1.79759 -1.87939 0.81347 0.74921 -1.85437 1.82709 -0.68404 -0.87674 1.90211 -1.76590 0.55127 1.00000 -1.94059 1.69610 -0.41582 -1.11839 1.96962 -1.61803 0.27835 1.23132 -1.98904 1.53209 -0.13951 -1.33826 1.99878 -1.43868 0.00000 1.43868 -1.99878 1.33826 0.13951 -1.53209 1.98904 -1.23132 -0.27835 1.61803 -1.96962 1.11839 0.41582 -1.69610 1.94059 -1.00000 -0.55127 1.76590 -1.90211 0.87674 0.68404 -1.82709 1.85437 -0.74921 -0.81347 1.87939 -1.79759 0.61803 0.93894 -1.92252 1.73205 -0.48384 -1.05984 1.95630 -1.65808 0.34730 1.17557 -1.98054 1.57602 -0.20906 -1.28558 1.99513 -1.48629 0.06980 1.38932 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E68 2.00000 -1.43868 0.06980 1.33826 -1.99513 1.53209 -0.20906 -1.23132 1.98054 -1.61803 0.34730 1.11839 -1.95630 1.69610 -0.48384 -1.00000 1.92252 -1.76590 0.61803 0.87674 -1.87939 1.82709 -0.74921 -0.74921 1.82709 -1.87939 0.87674 0.61803 -1.76590 1.92252 -1.00000 -0.48384 1.69610 -1.95630 1.11839 0.34730 -1.61803 1.98054 -1.23132 -0.20906 1.53209 -1.99513 1.33826 0.06980 -1.43868 2.00000 -1.43868 0.06980 1.33826 -1.99513 1.53209 -0.20906 -1.23132 1.98054 -1.61803 0.34730 1.11839 -1.95630 1.69610 -0.48384 -1.00000 1.92252 -1.76590 0.61803 0.87674 -1.87939 1.82709 -0.74921 -0.74921 1.82709 -1.87939 0.87674 0.61803 -1.76590 1.92252 -1.00000 -0.48384 1.69610 -1.95630 1.11839 0.34730 -1.61803 1.98054 -1.23132 -0.20906 1.53209 -1.99513 1.33826 0.06980 -1.43868 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E69 2.00000 -1.48629 0.20906 1.17557 -1.95630 1.73205 -0.61803 -0.81347 1.82709 -1.90211 1.00000 0.41582 -1.61803 1.98904 -1.33826 0.00000 1.33826 -1.98904 1.61803 -0.41582 -1.00000 1.90211 -1.82709 0.81347 0.61803 -1.73205 1.95630 -1.17557 -0.20906 1.48629 -2.00000 1.48629 -0.20906 -1.17557 1.95630 -1.73205 0.61803 0.81347 -1.82709 1.90211 -1.00000 -0.41582 1.61803 -1.98904 1.33826 0.00000 -1.33826 1.98904 -1.61803 0.41582 1.00000 -1.90211 1.82709 -0.81347 -0.61803 1.73205 -1.95630 1.17557 0.20906 -1.48629 2.00000 -1.48629 0.20906 1.17557 -1.95630 1.73205 -0.61803 -0.81347 1.82709 -1.90211 1.00000 0.41582 -1.61803 1.98904 -1.33826 0.00000 1.33826 -1.98904 1.61803 -0.41582 -1.00000 1.90211 -1.82709 0.81347 0.61803 -1.73205 1.95630 -1.17557 -0.20906 1.48629 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E70 2.00000 -1.53209 0.34730 1.00000 -1.87939 1.87939 -1.00000 -0.34730 1.53209 -2.00000 1.53209 -0.34730 -1.00000 1.87939 -1.87939 1.00000 0.34730 -1.53209 2.00000 -1.53209 0.34730 1.00000 -1.87939 1.87939 -1.00000 -0.34730 1.53209 -2.00000 1.53209 -0.34730 -1.00000 1.87939 -1.87939 1.00000 0.34730 -1.53209 2.00000 -1.53209 0.34730 1.00000 -1.87939 1.87939 -1.00000 -0.34730 1.53209 -2.00000 1.53209 -0.34730 -1.00000 1.87939 -1.87939 1.00000 0.34730 -1.53209 2.00000 -1.53209 0.34730 1.00000 -1.87939 1.87939 -1.00000 -0.34730 1.53209 -2.00000 1.53209 -0.34730 -1.00000 1.87939 -1.87939 1.00000 0.34730 -1.53209 2.00000 -1.53209 0.34730 1.00000 -1.87939 1.87939 -1.00000 -0.34730 1.53209 -2.00000 1.53209 -0.34730 -1.00000 1.87939 -1.87939 1.00000 0.34730 -1.53209 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E71 2.00000 -1.57602 0.48384 0.81347 -1.76590 1.96962 -1.33826 0.13951 1.11839 -1.90211 1.87939 -1.05984 -0.20906 1.38932 -1.98054 1.73205 -0.74921 -0.55127 1.61803 -1.99878 1.53209 -0.41582 -0.87674 1.79759 -1.95630 1.28558 -0.06980 -1.17557 1.92252 -1.85437 1.00000 0.27835 -1.43868 1.98904 -1.69610 0.68404 0.61803 -1.65808 1.99513 -1.48629 0.34730 0.93894 -1.82709 1.94059 -1.23132 0.00000 1.23132 -1.94059 1.82709 -0.93894 -0.34730 1.48629 -1.99513 1.65808 -0.61803 -0.68404 1.69610 -1.98904 1.43868 -0.27835 -1.00000 1.85437 -1.92252 1.17557 0.06980 -1.28558 1.95630 -1.79759 0.87674 0.41582 -1.53209 1.99878 -1.61803 0.55127 0.74921 -1.73205 1.98054 -1.38932 0.20906 1.05984 -1.87939 1.90211 -1.11839 -0.13951 1.33826 -1.96962 1.76590 -0.81347 -0.48384 1.57602 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E72 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 -1.61803 0.61803 0.61803 -1.61803 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E73 2.00000 -1.65808 0.74921 0.41582 -1.43868 1.96962 -1.82709 1.05984 0.06980 -1.17557 1.87939 -1.94059 1.33826 -0.27835 -0.87674 1.73205 -1.99513 1.57602 -0.61803 -0.55127 1.53209 -1.98904 1.76590 -0.93894 -0.20906 1.28558 -1.92252 1.90211 -1.23132 0.13951 1.00000 -1.79759 1.98054 -1.48629 0.48384 0.68404 -1.61803 1.99878 -1.69610 0.81347 0.34730 -1.38932 1.95630 -1.85437 1.11839 0.00000 -1.11839 1.85437 -1.95630 1.38932 -0.34730 -0.81347 1.69610 -1.99878 1.61803 -0.68404 -0.48384 1.48629 -1.98054 1.79759 -1.00000 -0.13951 1.23132 -1.90211 1.92252 -1.28558 0.20906 0.93894 -1.76590 1.98904 -1.53209 0.55127 0.61803 -1.57602 1.99513 -1.73205 0.87674 0.27835 -1.33826 1.94059 -1.87939 1.17557 -0.06980 -1.05984 1.82709 -1.96962 1.43868 -0.41582 -0.74921 1.65808 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E74 2.00000 -1.69610 0.87674 0.20906 -1.23132 1.87939 -1.95630 1.43868 -0.48384 -0.61803 1.53209 -1.98054 1.82709 -1.11839 0.06980 1.00000 -1.76590 1.99513 -1.61803 0.74921 0.34730 -1.33826 1.92252 -1.92252 1.33826 -0.34730 -0.74921 1.61803 -1.99513 1.76590 -1.00000 -0.06980 1.11839 -1.82709 1.98054 -1.53209 0.61803 0.48384 -1.43868 1.95630 -1.87939 1.23132 -0.20906 -0.87674 1.69610 -2.00000 1.69610 -0.87674 -0.20906 1.23132 -1.87939 1.95630 -1.43868 0.48384 0.61803 -1.53209 1.98054 -1.82709 1.11839 -0.06980 -1.00000 1.76590 -1.99513 1.61803 -0.74921 -0.34730 1.33826 -1.92252 1.92252 -1.33826 0.34730 0.74921 -1.61803 1.99513 -1.76590 1.00000 0.06980 -1.11839 1.82709 -1.98054 1.53209 -0.61803 -0.48384 1.43868 -1.95630 1.87939 -1.23132 0.20906 0.87674 -1.69610 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E75 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 1.73205 -1.00000 0.00000 1.00000 -1.73205 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 1.73205 -1.00000 0.00000 1.00000 -1.73205 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 1.73205 -1.00000 0.00000 1.00000 -1.73205 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 1.73205 -1.00000 0.00000 1.00000 -1.73205 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 1.73205 -1.00000 0.00000 1.00000 -1.73205 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 1.73205 -1.00000 0.00000 1.00000 -1.73205 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 1.73205 -1.00000 0.00000 1.00000 -1.73205 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E76 2.00000 -1.76590 1.11839 -0.20906 -0.74921 1.53209 -1.95630 1.92252 -1.43868 0.61803 0.34730 -1.23132 1.82709 -1.99513 1.69610 -1.00000 0.06980 0.87674 -1.61803 1.98054 -1.87939 1.33826 -0.48384 -0.48384 1.33826 -1.87939 1.98054 -1.61803 0.87674 0.06980 -1.00000 1.69610 -1.99513 1.82709 -1.23132 0.34730 0.61803 -1.43868 1.92252 -1.95630 1.53209 -0.74921 -0.20906 1.11839 -1.76590 2.00000 -1.76590 1.11839 -0.20906 -0.74921 1.53209 -1.95630 1.92252 -1.43868 0.61803 0.34730 -1.23132 1.82709 -1.99513 1.69610 -1.00000 0.06980 0.87674 -1.61803 1.98054 -1.87939 1.33826 -0.48384 -0.48384 1.33826 -1.87939 1.98054 -1.61803 0.87674 0.06980 -1.00000 1.69610 -1.99513 1.82709 -1.23132 0.34730 0.61803 -1.43868 1.92252 -1.95630 1.53209 -0.74921 -0.20906 1.11839 -1.76590 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E77 2.00000 -1.79759 1.23132 -0.41582 -0.48384 1.28558 -1.82709 1.99878 -1.76590 1.17557 -0.34730 -0.55127 1.33826 -1.85437 1.99513 -1.73205 1.11839 -0.27835 -0.61803 1.38932 -1.87939 1.98904 -1.69610 1.05984 -0.20906 -0.68404 1.43868 -1.90211 1.98054 -1.65808 1.00000 -0.13951 -0.74921 1.48629 -1.92252 1.96962 -1.61803 0.93894 -0.06980 -0.81347 1.53209 -1.94059 1.95630 -1.57602 0.87674 0.00000 -0.87674 1.57602 -1.95630 1.94059 -1.53209 0.81347 0.06980 -0.93894 1.61803 -1.96962 1.92252 -1.48629 0.74921 0.13951 -1.00000 1.65808 -1.98054 1.90211 -1.43868 0.68404 0.20906 -1.05984 1.69610 -1.98904 1.87939 -1.38932 0.61803 0.27835 -1.11839 1.73205 -1.99513 1.85437 -1.33826 0.55127 0.34730 -1.17557 1.76590 -1.99878 1.82709 -1.28558 0.48384 0.41582 -1.23132 1.79759 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E78 2.00000 -1.82709 1.33826 -0.61803 -0.20906 1.00000 -1.61803 1.95630 -1.95630 1.61803 -1.00000 0.20906 0.61803 -1.33826 1.82709 -2.00000 1.82709 -1.33826 0.61803 0.20906 -1.00000 1.61803 -1.95630 1.95630 -1.61803 1.00000 -0.20906 -0.61803 1.33826 -1.82709 2.00000 -1.82709 1.33826 -0.61803 -0.20906 1.00000 -1.61803 1.95630 -1.95630 1.61803 -1.00000 0.20906 0.61803 -1.33826 1.82709 -2.00000 1.82709 -1.33826 0.61803 0.20906 -1.00000 1.61803 -1.95630 1.95630 -1.61803 1.00000 -0.20906 -0.61803 1.33826 -1.82709 2.00000 -1.82709 1.33826 -0.61803 -0.20906 1.00000 -1.61803 1.95630 -1.95630 1.61803 -1.00000 0.20906 0.61803 -1.33826 1.82709 -2.00000 1.82709 -1.33826 0.61803 0.20906 -1.00000 1.61803 -1.95630 1.95630 -1.61803 1.00000 -0.20906 -0.61803 1.33826 -1.82709 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E79 2.00000 -1.85437 1.43868 -0.81347 0.06980 0.68404 -1.33826 1.79759 -1.99513 1.90211 -1.53209 0.93894 -0.20906 -0.55127 1.23132 -1.73205 1.98054 -1.94059 1.61803 -1.05984 0.34730 0.41582 -1.11839 1.65808 -1.95630 1.96962 -1.69610 1.17557 -0.48384 -0.27835 1.00000 -1.57602 1.92252 -1.98904 1.76590 -1.28558 0.61803 0.13951 -0.87674 1.48629 -1.87939 1.99878 -1.82709 1.38932 -0.74921 0.00000 0.74921 -1.38932 1.82709 -1.99878 1.87939 -1.48629 0.87674 -0.13951 -0.61803 1.28558 -1.76590 1.98904 -1.92252 1.57602 -1.00000 0.27835 0.48384 -1.17557 1.69610 -1.96962 1.95630 -1.65808 1.11839 -0.41582 -0.34730 1.05984 -1.61803 1.94059 -1.98054 1.73205 -1.23132 0.55127 0.20906 -0.93894 1.53209 -1.90211 1.99513 -1.79759 1.33826 -0.68404 -0.06980 0.81347 -1.43868 1.85437 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E80 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E81 2.00000 -1.90211 1.61803 -1.17557 0.61803 0.00000 -0.61803 1.17557 -1.61803 1.90211 -2.00000 1.90211 -1.61803 1.17557 -0.61803 0.00000 0.61803 -1.17557 1.61803 -1.90211 2.00000 -1.90211 1.61803 -1.17557 0.61803 0.00000 -0.61803 1.17557 -1.61803 1.90211 -2.00000 1.90211 -1.61803 1.17557 -0.61803 0.00000 0.61803 -1.17557 1.61803 -1.90211 2.00000 -1.90211 1.61803 -1.17557 0.61803 0.00000 -0.61803 1.17557 -1.61803 1.90211 -2.00000 1.90211 -1.61803 1.17557 -0.61803 0.00000 0.61803 -1.17557 1.61803 -1.90211 2.00000 -1.90211 1.61803 -1.17557 0.61803 0.00000 -0.61803 1.17557 -1.61803 1.90211 -2.00000 1.90211 -1.61803 1.17557 -0.61803 0.00000 0.61803 -1.17557 1.61803 -1.90211 2.00000 -1.90211 1.61803 -1.17557 0.61803 0.00000 -0.61803 1.17557 -1.61803 1.90211 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E82 2.00000 -1.92252 1.69610 -1.33826 0.87674 -0.34730 -0.20906 0.74921 -1.23132 1.61803 -1.87939 1.99513 -1.95630 1.76590 -1.43868 1.00000 -0.48384 -0.06980 0.61803 -1.11839 1.53209 -1.82709 1.98054 -1.98054 1.82709 -1.53209 1.11839 -0.61803 0.06980 0.48384 -1.00000 1.43868 -1.76590 1.95630 -1.99513 1.87939 -1.61803 1.23132 -0.74921 0.20906 0.34730 -0.87674 1.33826 -1.69610 1.92252 -2.00000 1.92252 -1.69610 1.33826 -0.87674 0.34730 0.20906 -0.74921 1.23132 -1.61803 1.87939 -1.99513 1.95630 -1.76590 1.43868 -1.00000 0.48384 0.06980 -0.61803 1.11839 -1.53209 1.82709 -1.98054 1.98054 -1.82709 1.53209 -1.11839 0.61803 -0.06980 -0.48384 1.00000 -1.43868 1.76590 -1.95630 1.99513 -1.87939 1.61803 -1.23132 0.74921 -0.20906 -0.34730 0.87674 -1.33826 1.69610 -1.92252 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E83 2.00000 -1.94059 1.76590 -1.48629 1.11839 -0.68404 0.20906 0.27835 -0.74921 1.17557 -1.53209 1.79759 -1.95630 1.99878 -1.92252 1.73205 -1.43868 1.05984 -0.61803 0.13951 0.34730 -0.81347 1.23132 -1.57602 1.82709 -1.96962 1.99513 -1.90211 1.69610 -1.38932 1.00000 -0.55127 0.06980 0.41582 -0.87674 1.28558 -1.61803 1.85437 -1.98054 1.98904 -1.87939 1.65808 -1.33826 0.93894 -0.48384 0.00000 0.48384 -0.93894 1.33826 -1.65808 1.87939 -1.98904 1.98054 -1.85437 1.61803 -1.28558 0.87674 -0.41582 -0.06980 0.55127 -1.00000 1.38932 -1.69610 1.90211 -1.99513 1.96962 -1.82709 1.57602 -1.23132 0.81347 -0.34730 -0.13951 0.61803 -1.05984 1.43868 -1.73205 1.92252 -1.99878 1.95630 -1.79759 1.53209 -1.17557 0.74921 -0.27835 -0.20906 0.68404 -1.11839 1.48629 -1.76590 1.94059 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E84 2.00000 -1.95630 1.82709 -1.61803 1.33826 -1.00000 0.61803 -0.20906 -0.20906 0.61803 -1.00000 1.33826 -1.61803 1.82709 -1.95630 2.00000 -1.95630 1.82709 -1.61803 1.33826 -1.00000 0.61803 -0.20906 -0.20906 0.61803 -1.00000 1.33826 -1.61803 1.82709 -1.95630 2.00000 -1.95630 1.82709 -1.61803 1.33826 -1.00000 0.61803 -0.20906 -0.20906 0.61803 -1.00000 1.33826 -1.61803 1.82709 -1.95630 2.00000 -1.95630 1.82709 -1.61803 1.33826 -1.00000 0.61803 -0.20906 -0.20906 0.61803 -1.00000 1.33826 -1.61803 1.82709 -1.95630 2.00000 -1.95630 1.82709 -1.61803 1.33826 -1.00000 0.61803 -0.20906 -0.20906 0.61803 -1.00000 1.33826 -1.61803 1.82709 -1.95630 2.00000 -1.95630 1.82709 -1.61803 1.33826 -1.00000 0.61803 -0.20906 -0.20906 0.61803 -1.00000 1.33826 -1.61803 1.82709 -1.95630 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ............. E85 2.00000 -1.96962 1.87939 -1.73205 1.53209 -1.28558 1.00000 -0.68404 0.34730 0.00000 -0.34730 0.68404 -1.00000 1.28558 -1.53209 1.73205 -1.87939 1.96962 -2.00000 1.96962 -1.87939 1.73205 -1.53209 1.28558 -1.00000 0.68404 -0.34730 0.00000 0.34730 -0.68404 1.00000 -1.28558 1.53209 -1.73205 1.87939 -1.96962 2.00000 -1.96962 1.87939 -1.73205 1.53209 -1.28558 1.00000 -0.68404 0.34730 0.00000 -0.34730 0.68404 -1.00000 1.28558 -1.53209 1.73205 -1.87939 1.96962 -2.00000 1.96962 -1.87939 1.73205 -1.53209 1.28558 -1.00000 0.68404 -0.34730 0.00000 0.34730 -0.68404 1.00000 -1.28558 1.53209 -1.73205 1.87939 -1.96962 2.00000 -1.96962 1.87939 -1.73205 1.53209 -1.28558 1.00000 -0.68404 0.34730 0.00000 -0.34730 0.68404 -1.00000 1.28558 -1.53209 1.73205 -1.87939 1.96962 -2.00000 0.00000 0.00000 ... ... ..... ....... ......... ........... ..TT......... E86 2.00000 -1.98054 1.92252 -1.82709 1.69610 -1.53209 1.33826 -1.11839 0.87674 -0.61803 0.34730 -0.06980 -0.20906 0.48384 -0.74921 1.00000 -1.23132 1.43868 -1.61803 1.76590 -1.87939 1.95630 -1.99513 1.99513 -1.95630 1.87939 -1.76590 1.61803 -1.43868 1.23132 -1.00000 0.74921 -0.48384 0.20906 0.06980 -0.34730 0.61803 -0.87674 1.11839 -1.33826 1.53209 -1.69610 1.82709 -1.92252 1.98054 -2.00000 1.98054 -1.92252 1.82709 -1.69610 1.53209 -1.33826 1.11839 -0.87674 0.61803 -0.34730 0.06980 0.20906 -0.48384 0.74921 -1.00000 1.23132 -1.43868 1.61803 -1.76590 1.87939 -1.95630 1.99513 -1.99513 1.95630 -1.87939 1.76590 -1.61803 1.43868 -1.23132 1.00000 -0.74921 0.48384 -0.20906 -0.06980 0.34730 -0.61803 0.87674 -1.11839 1.33826 -1.53209 1.69610 -1.82709 1.92252 -1.98054 2.00000 0.00000 0.00000 ... ... ..... ....... ......... ..TT....... ............. E87 2.00000 -1.98904 1.95630 -1.90211 1.82709 -1.73205 1.61803 -1.48629 1.33826 -1.17557 1.00000 -0.81347 0.61803 -0.41582 0.20906 0.00000 -0.20906 0.41582 -0.61803 0.81347 -1.00000 1.17557 -1.33826 1.48629 -1.61803 1.73205 -1.82709 1.90211 -1.95630 1.98904 -2.00000 1.98904 -1.95630 1.90211 -1.82709 1.73205 -1.61803 1.48629 -1.33826 1.17557 -1.00000 0.81347 -0.61803 0.41582 -0.20906 0.00000 0.20906 -0.41582 0.61803 -0.81347 1.00000 -1.17557 1.33826 -1.48629 1.61803 -1.73205 1.82709 -1.90211 1.95630 -1.98904 2.00000 -1.98904 1.95630 -1.90211 1.82709 -1.73205 1.61803 -1.48629 1.33826 -1.17557 1.00000 -0.81347 0.61803 -0.41582 0.20906 0.00000 -0.20906 0.41582 -0.61803 0.81347 -1.00000 1.17557 -1.33826 1.48629 -1.61803 1.73205 -1.82709 1.90211 -1.95630 1.98904 -2.00000 0.00000 0.00000 ... ... ..... ....... ..TT..... ........... ......TT..... E88 2.00000 -1.99513 1.98054 -1.95630 1.92252 -1.87939 1.82709 -1.76590 1.69610 -1.61803 1.53209 -1.43868 1.33826 -1.23132 1.11839 -1.00000 0.87674 -0.74921 0.61803 -0.48384 0.34730 -0.20906 0.06980 0.06980 -0.20906 0.34730 -0.48384 0.61803 -0.74921 0.87674 -1.00000 1.11839 -1.23132 1.33826 -1.43868 1.53209 -1.61803 1.69610 -1.76590 1.82709 -1.87939 1.92252 -1.95630 1.98054 -1.99513 2.00000 -1.99513 1.98054 -1.95630 1.92252 -1.87939 1.82709 -1.76590 1.69610 -1.61803 1.53209 -1.43868 1.33826 -1.23132 1.11839 -1.00000 0.87674 -0.74921 0.61803 -0.48384 0.34730 -0.20906 0.06980 0.06980 -0.20906 0.34730 -0.48384 0.61803 -0.74921 0.87674 -1.00000 1.11839 -1.23132 1.33826 -1.43868 1.53209 -1.61803 1.69610 -1.76590 1.82709 -1.87939 1.92252 -1.95630 1.98054 -1.99513 2.00000 0.00000 0.00000 ... ... ..... ..TT... ......... ......TT... ............. E89 2.00000 -1.99878 1.99513 -1.98904 1.98054 -1.96962 1.95630 -1.94059 1.92252 -1.90211 1.87939 -1.85437 1.82709 -1.79759 1.76590 -1.73205 1.69610 -1.65808 1.61803 -1.57602 1.53209 -1.48629 1.43868 -1.38932 1.33826 -1.28558 1.23132 -1.17557 1.11839 -1.05984 1.00000 -0.93894 0.87674 -0.81347 0.74921 -0.68404 0.61803 -0.55127 0.48384 -0.41582 0.34730 -0.27835 0.20906 -0.13951 0.06980 0.00000 -0.06980 0.13951 -0.20906 0.27835 -0.34730 0.41582 -0.48384 0.55127 -0.61803 0.68404 -0.74921 0.81347 -0.87674 0.93894 -1.00000 1.05984 -1.11839 1.17557 -1.23132 1.28558 -1.33826 1.38932 -1.43868 1.48629 -1.53209 1.57602 -1.61803 1.65808 -1.69610 1.73205 -1.76590 1.79759 -1.82709 1.85437 -1.87939 1.90211 -1.92252 1.94059 -1.95630 1.96962 -1.98054 1.98904 -1.99513 1.99878 -2.00000 0.00000 0.00000 TT. ... ..TT. ....... ......TT. ........... ..........TT. Irrational character values: 1.998781654038 = 2*cos(2*π/180) = 2*cos(π/90) 1.995128100520 = 2*cos(4*π/180) = 2*cos(π/45) 1.989043790737 = 2*cos(6*π/180) = 2*cos(π/30) = (√15+√3+√10−2*√5)/4 1.980536137483 = 2*cos(8*π/180) = 2*cos(2*π/45) 1.969615506024 = 2*cos(10*π/180) = 2*cos(π/18) 1.956295201468 = 2*cos(12*π/180) = 2*cos(π/15) = (√5−1+√30+6*√5)/4 1.940591452552 = 2*cos(14*π/180) = 2*cos(7*π/90) 1.922523391877 = 2*cos(16*π/180) = 2*cos(4*π/45) 1.902113032590 = 2*cos(18*π/180) = 2*cos(π/10) = (√10+2*√5)/2 1.879385241572 = 2*cos(20*π/180) = 2*cos(π/9) 1.854367709134 = 2*cos(22*π/180) = 2*cos(11*π/90) 1.827090915285 = 2*cos(24*π/180) = 2*cos(2*π/15) = (1+√5+√30−6*√5)/4 1.797588092598 = 2*cos(26*π/180) = 2*cos(13*π/90) 1.765895185718 = 2*cos(28*π/180) = 2*cos(7*π/45) 1.732050807569 = 2*cos(30*π/180) = 2*cos(π/6) = √3 1.696096192313 = 2*cos(32*π/180) = 2*cos(8*π/45) 1.658075145110 = 2*cos(34*π/180) = 2*cos(17*π/90) 1.618033988750 = 2*cos(36*π/180) = 2*cos(π/5) = (√5+1)/2 1.576021507213 = 2*cos(38*π/180) = 2*cos(19*π/90) 1.532088886238 = 2*cos(40*π/180) = 2*cos(2*π/9) 1.486289650955 = 2*cos(42*π/180) = 2*cos(7*π/30) = (√15−√3+√10+2*√5)/4 1.438679600677 = 2*cos(44*π/180) = 2*cos(11*π/45) 1.389316740918 = 2*cos(46*π/180) = 2*cos(23*π/90) 1.338261212718 = 2*cos(48*π/180) = 2*cos(4*π/15) = (1−√5+√30+6*√5)/4 1.285575219373 = 2*cos(50*π/180) = 2*cos(5*π/18) 1.231322950651 = 2*cos(52*π/180) = 2*cos(13*π/45) 1.175570504585 = 2*cos(54*π/180) = 2*cos(3*π/10) = (√10−2*√5)/2 1.118385806941 = 2*cos(56*π/180) = 2*cos(14*π/45) 1.059838528466 = 2*cos(58*π/180) = 2*cos(29*π/90) 0.938943125572 = 2*cos(62*π/180) = 2*cos(31*π/90) 0.876742293578 = 2*cos(64*π/180) = 2*cos(16*π/45) 0.813473286152 = 2*cos(66*π/180) = 2*cos(11*π/30) = (√15+√3−√10−2*√5)/4 0.749213186832 = 2*cos(68*π/180) = 2*cos(17*π/45) 0.684040286651 = 2*cos(70*π/180) = 2*cos(7*π/18) 0.618033988750 = 2*cos(72*π/180) = 2*cos(2*π/5) = (√5−1)/2 0.551274711634 = 2*cos(74*π/180) = 2*cos(37*π/90) 0.483843791199 = 2*cos(76*π/180) = 2*cos(19*π/45) 0.415823381636 = 2*cos(78*π/180) = 2*cos(13*π/30) = (√3−√15+√10+2*√5)/4 0.347296355334 = 2*cos(80*π/180) = 2*cos(4*π/9) 0.278346201920 = 2*cos(82*π/180) = 2*cos(41*π/90) 0.209056926535 = 2*cos(84*π/180) = 2*cos(7*π/15) = (√30−6*√5−√5−1)/4 0.139512947488 = 2*cos(86*π/180) = 2*cos(43*π/90) 0.069798993405 = 2*cos(88*π/180) = 2*cos(22*π/45) Symmetry of Rotations and Cartesian products A1 d+g+i+k+m z², z⁴, z⁶ A2 R R_z B2 p+f+h+j+l z, z³, z⁵ E1 p+f+h+j+l {x, y}, {xz², yz²}, {xz⁴, yz⁴} E2 d+g+i+k+m {x²−y², xy}, {z²(x²−y²), xyz²}, {z⁴(x²−y²), xyz⁴} E3 f+h+j+l {x(x²−3y²), y(3x²−y²)}, {xz²(x²−3y²), yz²(3x²−y²)} E4 g+i+k+m {(x²−y²)²−4x²y², xy(x²−y²)}, {z²((x²−y²)²−4x²y²), xyz²(x²−y²)} E5 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)} E6 i+k+m {x²(x²−3y²)²−y²(3x²−y²)², xy(x²−3y²)(3x²−y²)} E7 j+l E8 k+m E9 l E10 m E81 m E82 l E83 k+m E84 j+l E85 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)} E86 h+j+l {z((x²−y²)²−4x²y²), xyz(x²−y²)} E87 g+i+k+m {xz(x²−3y²), yz(3x²−y²)}, {xz³(x²−3y²), yz³(3x²−y²)} E88 f+h+j+l {z(x²−y²), xyz}, {z³(x²−y²), xyz³} E89 R+d+g+i+k+m {R_x, R_y}, {xz, yz}, {xz³, yz³}, {xz⁵, yz⁵} Notes: α The order of the D_90d point group is 360, and the order of the principal axis (S₁₈₀) is 180. The group has 93 irreducible representations. β The D_90d point group is isomorphic to C_180v and D₁₈₀. γ The D_90d point group is generated by two symmetry elements, S₁₈₀ 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). δ The group contains one set of twofold symmetry axes (C₂^′) perpendicular to the principal (z) axis. Both x and y axes are members of that set. ε The single σ_d set of symmetry planes contains neither the xz nor the yz planes; but it contains the median plane (x+y)z. ζ The lowest nonvanishing multipole moment in D_90d is 4 (quadrupole moment). η This point group is non-Abelian (some symmetry operations are not commutative). Therefore, the character table contains multi-membered classes and degenerate irreducible representations. θ 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. ι The point group corresponds to a polygon inconstructible by the classical means of ruler and compass. Yet it becomes constructible if angle trisection is allowed, e.g., with neusis construction or origami. This is because the order of the principal axis is given by a product of any number of different Pierpont primes (...,5,7,13,17,19,37,73,97,109,163,...) times arbitrary powers of two and three. While some characters of this group can be expressed using real integers and square roots alone, others need complex numbers and third roots.

This Character Table for the D_90d point group was created by Gernot Katzer.

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

	D_88d
	D_89d
C₉₀ C_90v C_90h D₉₀ D_90h	D_90d	S₉₀
	D_91d
	D_92d

Character table for the D90d point group

Character table for the D_90d point group