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E7" 2.00000 1.66584 0.77503 -0.37476 -1.39933 -1.95630 -1.85955 -1.14143 -0.04188 1.07165 1.82709 1.97199 1.45794 0.45670 -0.69714 -1.61803 -1.99825 -1.71073 -0.85156 0.29217 1.33826 1.93717 1.88875 1.20920 0.12558 -1.00000 -1.79142 -1.98423 -1.51399 -0.53784 0.61803 1.56739 1.99299 1.75261 0.92659 -0.20906 -1.27485 -1.91464 0.00000 -2.00000 -1.66584 0.37476 1.95630 1.14143 -1.07165 -1.97199 -0.45670 1.61803 1.71073 -0.29217 -1.93717 -1.20920 1.00000 1.98423 0.53784 -1.56739 -1.75261 0.20906 1.91464 1.27485 -0.92659 -1.99299 -0.61803 1.51399 1.79142 -0.12558 -1.88875 -1.33826 0.85156 1.99825 0.69714 -1.45794 -1.82709 0.04188 1.85955 1.39933 -0.77503 0.00000 ... ... ..... ....... ......... ........... ............. 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E9' 2.00000 1.45794 0.12558 -1.27485 -1.98423 -1.61803 -0.37476 1.07165 1.93717 1.75261 0.61803 -0.85156 -1.85955 -1.85955 -0.85156 0.61803 1.75261 1.93717 1.07165 -0.37476 -1.61803 -1.98423 -1.27485 0.12558 1.45794 2.00000 1.45794 0.12558 -1.27485 -1.98423 -1.61803 -0.37476 1.07165 1.93717 1.75261 0.61803 -0.85156 -1.85955 0.00000 2.00000 1.45794 -1.27485 -1.61803 1.07165 1.75261 -0.85156 -1.85955 0.61803 1.93717 -0.37476 -1.98423 0.12558 2.00000 0.12558 -1.98423 -0.37476 1.93717 0.61803 -1.85955 -0.85156 1.75261 1.07165 -1.61803 -1.27485 1.45794 1.45794 -1.27485 -1.61803 1.07165 1.75261 -0.85156 -1.85955 0.61803 1.93717 -0.37476 -1.98423 0.12558 0.00000 ... ... ..... ....... ......... ........... ............. E9" 2.00000 1.45794 0.12558 -1.27485 -1.98423 -1.61803 -0.37476 1.07165 1.93717 1.75261 0.61803 -0.85156 -1.85955 -1.85955 -0.85156 0.61803 1.75261 1.93717 1.07165 -0.37476 -1.61803 -1.98423 -1.27485 0.12558 1.45794 2.00000 1.45794 0.12558 -1.27485 -1.98423 -1.61803 -0.37476 1.07165 1.93717 1.75261 0.61803 -0.85156 -1.85955 0.00000 -2.00000 -1.45794 1.27485 1.61803 -1.07165 -1.75261 0.85156 1.85955 -0.61803 -1.93717 0.37476 1.98423 -0.12558 -2.00000 -0.12558 1.98423 0.37476 -1.93717 -0.61803 1.85955 0.85156 -1.75261 -1.07165 1.61803 1.27485 -1.45794 -1.45794 1.27485 1.61803 -1.07165 -1.75261 0.85156 1.85955 -0.61803 -1.93717 0.37476 1.98423 -0.12558 0.00000 ... ... ..... ....... ......... ........... ............. E10' 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 0.00000 2.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E10" 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 0.00000 -2.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E11' 2.00000 1.20920 -0.53784 -1.85955 -1.71073 -0.20906 1.45794 1.97199 0.92659 -0.85156 -1.95630 -1.51399 0.12558 1.66584 1.88875 0.61803 -1.14143 -1.99825 -1.27485 0.45670 1.82709 1.75261 0.29217 -1.39933 -1.98423 -1.00000 0.77503 1.93717 1.56739 -0.04188 -1.61803 -1.91464 -0.69714 1.07165 1.99299 1.33826 -0.37476 -1.79142 0.00000 2.00000 1.20920 -1.85955 -0.20906 1.97199 -0.85156 -1.51399 1.66584 0.61803 -1.99825 0.45670 1.75261 -1.39933 -1.00000 1.93717 -0.04188 -1.91464 1.07165 1.33826 -1.79142 -0.37476 1.99299 -0.69714 -1.61803 1.56739 0.77503 -1.98423 0.29217 1.82709 -1.27485 -1.14143 1.88875 0.12558 -1.95630 0.92659 1.45794 -1.71073 -0.53784 0.00000 ... ... ..... ....... ......... ........... ............. E11" 2.00000 1.20920 -0.53784 -1.85955 -1.71073 -0.20906 1.45794 1.97199 0.92659 -0.85156 -1.95630 -1.51399 0.12558 1.66584 1.88875 0.61803 -1.14143 -1.99825 -1.27485 0.45670 1.82709 1.75261 0.29217 -1.39933 -1.98423 -1.00000 0.77503 1.93717 1.56739 -0.04188 -1.61803 -1.91464 -0.69714 1.07165 1.99299 1.33826 -0.37476 -1.79142 0.00000 -2.00000 -1.20920 1.85955 0.20906 -1.97199 0.85156 1.51399 -1.66584 -0.61803 1.99825 -0.45670 -1.75261 1.39933 1.00000 -1.93717 0.04188 1.91464 -1.07165 -1.33826 1.79142 0.37476 -1.99299 0.69714 1.61803 -1.56739 -0.77503 1.98423 -0.29217 -1.82709 1.27485 1.14143 -1.88875 -0.12558 1.95630 -0.92659 -1.45794 1.71073 0.53784 0.00000 ... ... ..... ....... ......... ........... ............. E12' 2.00000 1.07165 -0.85156 -1.98423 -1.27485 0.61803 1.93717 1.45794 -0.37476 -1.85955 -1.61803 0.12558 1.75261 1.75261 0.12558 -1.61803 -1.85955 -0.37476 1.45794 1.93717 0.61803 -1.27485 -1.98423 -0.85156 1.07165 2.00000 1.07165 -0.85156 -1.98423 -1.27485 0.61803 1.93717 1.45794 -0.37476 -1.85955 -1.61803 0.12558 1.75261 0.00000 2.00000 1.07165 -1.98423 0.61803 1.45794 -1.85955 0.12558 1.75261 -1.61803 -0.37476 1.93717 -1.27485 -0.85156 2.00000 -0.85156 -1.27485 1.93717 -0.37476 -1.61803 1.75261 0.12558 -1.85955 1.45794 0.61803 -1.98423 1.07165 1.07165 -1.98423 0.61803 1.45794 -1.85955 0.12558 1.75261 -1.61803 -0.37476 1.93717 -1.27485 -0.85156 0.00000 ... ... ..... ....... ......... ........... ............. E12" 2.00000 1.07165 -0.85156 -1.98423 -1.27485 0.61803 1.93717 1.45794 -0.37476 -1.85955 -1.61803 0.12558 1.75261 1.75261 0.12558 -1.61803 -1.85955 -0.37476 1.45794 1.93717 0.61803 -1.27485 -1.98423 -0.85156 1.07165 2.00000 1.07165 -0.85156 -1.98423 -1.27485 0.61803 1.93717 1.45794 -0.37476 -1.85955 -1.61803 0.12558 1.75261 0.00000 -2.00000 -1.07165 1.98423 -0.61803 -1.45794 1.85955 -0.12558 -1.75261 1.61803 0.37476 -1.93717 1.27485 0.85156 -2.00000 0.85156 1.27485 -1.93717 0.37476 1.61803 -1.75261 -0.12558 1.85955 -1.45794 -0.61803 1.98423 -1.07165 -1.07165 1.98423 -0.61803 -1.45794 1.85955 -0.12558 -1.75261 1.61803 0.37476 -1.93717 1.27485 0.85156 0.00000 ... ... ..... ....... ......... ........... ............. E13' 2.00000 0.92659 -1.14143 -1.98423 -0.69714 1.33826 1.93717 0.45670 -1.51399 -1.85955 -0.20906 1.66584 1.75261 -0.04188 -1.79142 -1.61803 0.29217 1.88875 1.45794 -0.53784 -1.95630 -1.27485 0.77503 1.99299 1.07165 -1.00000 -1.99825 -0.85156 1.20920 1.97199 0.61803 -1.39933 -1.91464 -0.37476 1.56739 1.82709 0.12558 -1.71073 0.00000 2.00000 0.92659 -1.98423 1.33826 0.45670 -1.85955 1.66584 -0.04188 -1.61803 1.88875 -0.53784 -1.27485 1.99299 -1.00000 -0.85156 1.97199 -1.39933 -0.37476 1.82709 -1.71073 0.12558 1.56739 -1.91464 0.61803 1.20920 -1.99825 1.07165 0.77503 -1.95630 1.45794 0.29217 -1.79142 1.75261 -0.20906 -1.51399 1.93717 -0.69714 -1.14143 0.00000 ... ... ..... ....... ......... ........... ............. E13" 2.00000 0.92659 -1.14143 -1.98423 -0.69714 1.33826 1.93717 0.45670 -1.51399 -1.85955 -0.20906 1.66584 1.75261 -0.04188 -1.79142 -1.61803 0.29217 1.88875 1.45794 -0.53784 -1.95630 -1.27485 0.77503 1.99299 1.07165 -1.00000 -1.99825 -0.85156 1.20920 1.97199 0.61803 -1.39933 -1.91464 -0.37476 1.56739 1.82709 0.12558 -1.71073 0.00000 -2.00000 -0.92659 1.98423 -1.33826 -0.45670 1.85955 -1.66584 0.04188 1.61803 -1.88875 0.53784 1.27485 -1.99299 1.00000 0.85156 -1.97199 1.39933 0.37476 -1.82709 1.71073 -0.12558 -1.56739 1.91464 -0.61803 -1.20920 1.99825 -1.07165 -0.77503 1.95630 -1.45794 -0.29217 1.79142 -1.75261 0.20906 1.51399 -1.93717 0.69714 1.14143 0.00000 ... ... ..... ....... ......... ........... ............. E14' 2.00000 0.77503 -1.39933 -1.85955 -0.04188 1.82709 1.45794 -0.69714 -1.99825 -0.85156 1.33826 1.88875 0.12558 -1.79142 -1.51399 0.61803 1.99299 0.92659 -1.27485 -1.91464 -0.20906 1.75261 1.56739 -0.53784 -1.98423 -1.00000 1.20920 1.93717 0.29217 -1.71073 -1.61803 0.45670 1.97199 1.07165 -1.14143 -1.95630 -0.37476 1.66584 0.00000 2.00000 0.77503 -1.85955 1.82709 -0.69714 -0.85156 1.88875 -1.79142 0.61803 0.92659 -1.91464 1.75261 -0.53784 -1.00000 1.93717 -1.71073 0.45670 1.07165 -1.95630 1.66584 -0.37476 -1.14143 1.97199 -1.61803 0.29217 1.20920 -1.98423 1.56739 -0.20906 -1.27485 1.99299 -1.51399 0.12558 1.33826 -1.99825 1.45794 -0.04188 -1.39933 0.00000 ... ... ..... ....... ......... ........... ............. E14" 2.00000 0.77503 -1.39933 -1.85955 -0.04188 1.82709 1.45794 -0.69714 -1.99825 -0.85156 1.33826 1.88875 0.12558 -1.79142 -1.51399 0.61803 1.99299 0.92659 -1.27485 -1.91464 -0.20906 1.75261 1.56739 -0.53784 -1.98423 -1.00000 1.20920 1.93717 0.29217 -1.71073 -1.61803 0.45670 1.97199 1.07165 -1.14143 -1.95630 -0.37476 1.66584 0.00000 -2.00000 -0.77503 1.85955 -1.82709 0.69714 0.85156 -1.88875 1.79142 -0.61803 -0.92659 1.91464 -1.75261 0.53784 1.00000 -1.93717 1.71073 -0.45670 -1.07165 1.95630 -1.66584 0.37476 1.14143 -1.97199 1.61803 -0.29217 -1.20920 1.98423 -1.56739 0.20906 1.27485 -1.99299 1.51399 -0.12558 -1.33826 1.99825 -1.45794 0.04188 1.39933 0.00000 ... ... ..... ....... ......... ........... ............. E15' 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 0.00000 2.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E15" 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 0.00000 -2.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E16' 2.00000 0.45670 -1.79142 -1.27485 1.20920 1.82709 -0.37476 -1.99825 -0.53784 1.75261 1.33826 -1.14143 -1.85955 0.29217 1.99299 0.61803 -1.71073 -1.39933 1.07165 1.88875 -0.20906 -1.98423 -0.69714 1.66584 1.45794 -1.00000 -1.91464 0.12558 1.97199 0.77503 -1.61803 -1.51399 0.92659 1.93717 -0.04188 -1.95630 -0.85156 1.56739 0.00000 2.00000 0.45670 -1.27485 1.82709 -1.99825 1.75261 -1.14143 0.29217 0.61803 -1.39933 1.88875 -1.98423 1.66584 -1.00000 0.12558 0.77503 -1.51399 1.93717 -1.95630 1.56739 -0.85156 -0.04188 0.92659 -1.61803 1.97199 -1.91464 1.45794 -0.69714 -0.20906 1.07165 -1.71073 1.99299 -1.85955 1.33826 -0.53784 -0.37476 1.20920 -1.79142 0.00000 ... ... ..... ....... ......... ........... ............. E16" 2.00000 0.45670 -1.79142 -1.27485 1.20920 1.82709 -0.37476 -1.99825 -0.53784 1.75261 1.33826 -1.14143 -1.85955 0.29217 1.99299 0.61803 -1.71073 -1.39933 1.07165 1.88875 -0.20906 -1.98423 -0.69714 1.66584 1.45794 -1.00000 -1.91464 0.12558 1.97199 0.77503 -1.61803 -1.51399 0.92659 1.93717 -0.04188 -1.95630 -0.85156 1.56739 0.00000 -2.00000 -0.45670 1.27485 -1.82709 1.99825 -1.75261 1.14143 -0.29217 -0.61803 1.39933 -1.88875 1.98423 -1.66584 1.00000 -0.12558 -0.77503 1.51399 -1.93717 1.95630 -1.56739 0.85156 0.04188 -0.92659 1.61803 -1.97199 1.91464 -1.45794 0.69714 0.20906 -1.07165 1.71073 -1.99299 1.85955 -1.33826 0.53784 0.37476 -1.20920 1.79142 0.00000 ... ... ..... ....... ......... ........... ............. E17' 2.00000 0.29217 -1.91464 -0.85156 1.66584 1.33826 -1.27485 -1.71073 0.77503 1.93717 -0.20906 -1.99825 -0.37476 1.88875 0.92659 -1.61803 -1.39933 1.20920 1.75261 -0.69714 -1.95630 0.12558 1.99299 0.45670 -1.85955 -1.00000 1.56739 1.45794 -1.14143 -1.79142 0.61803 1.97199 -0.04188 -1.98423 -0.53784 1.82709 1.07165 -1.51399 0.00000 2.00000 0.29217 -0.85156 1.33826 -1.71073 1.93717 -1.99825 1.88875 -1.61803 1.20920 -0.69714 0.12558 0.45670 -1.00000 1.45794 -1.79142 1.97199 -1.98423 1.82709 -1.51399 1.07165 -0.53784 -0.04188 0.61803 -1.14143 1.56739 -1.85955 1.99299 -1.95630 1.75261 -1.39933 0.92659 -0.37476 -0.20906 0.77503 -1.27485 1.66584 -1.91464 0.00000 ... ... ..... ....... ......... ........... ............. E17" 2.00000 0.29217 -1.91464 -0.85156 1.66584 1.33826 -1.27485 -1.71073 0.77503 1.93717 -0.20906 -1.99825 -0.37476 1.88875 0.92659 -1.61803 -1.39933 1.20920 1.75261 -0.69714 -1.95630 0.12558 1.99299 0.45670 -1.85955 -1.00000 1.56739 1.45794 -1.14143 -1.79142 0.61803 1.97199 -0.04188 -1.98423 -0.53784 1.82709 1.07165 -1.51399 0.00000 -2.00000 -0.29217 0.85156 -1.33826 1.71073 -1.93717 1.99825 -1.88875 1.61803 -1.20920 0.69714 -0.12558 -0.45670 1.00000 -1.45794 1.79142 -1.97199 1.98423 -1.82709 1.51399 -1.07165 0.53784 0.04188 -0.61803 1.14143 -1.56739 1.85955 -1.99299 1.95630 -1.75261 1.39933 -0.92659 0.37476 0.20906 -0.77503 1.27485 -1.66584 1.91464 0.00000 ... ... ..... ....... ......... ........... ............. E18' 2.00000 0.12558 -1.98423 -0.37476 1.93717 0.61803 -1.85955 -0.85156 1.75261 1.07165 -1.61803 -1.27485 1.45794 1.45794 -1.27485 -1.61803 1.07165 1.75261 -0.85156 -1.85955 0.61803 1.93717 -0.37476 -1.98423 0.12558 2.00000 0.12558 -1.98423 -0.37476 1.93717 0.61803 -1.85955 -0.85156 1.75261 1.07165 -1.61803 -1.27485 1.45794 0.00000 2.00000 0.12558 -0.37476 0.61803 -0.85156 1.07165 -1.27485 1.45794 -1.61803 1.75261 -1.85955 1.93717 -1.98423 2.00000 -1.98423 1.93717 -1.85955 1.75261 -1.61803 1.45794 -1.27485 1.07165 -0.85156 0.61803 -0.37476 0.12558 0.12558 -0.37476 0.61803 -0.85156 1.07165 -1.27485 1.45794 -1.61803 1.75261 -1.85955 1.93717 -1.98423 0.00000 ... ... ..... ....... ......... ........... ............. E18" 2.00000 0.12558 -1.98423 -0.37476 1.93717 0.61803 -1.85955 -0.85156 1.75261 1.07165 -1.61803 -1.27485 1.45794 1.45794 -1.27485 -1.61803 1.07165 1.75261 -0.85156 -1.85955 0.61803 1.93717 -0.37476 -1.98423 0.12558 2.00000 0.12558 -1.98423 -0.37476 1.93717 0.61803 -1.85955 -0.85156 1.75261 1.07165 -1.61803 -1.27485 1.45794 0.00000 -2.00000 -0.12558 0.37476 -0.61803 0.85156 -1.07165 1.27485 -1.45794 1.61803 -1.75261 1.85955 -1.93717 1.98423 -2.00000 1.98423 -1.93717 1.85955 -1.75261 1.61803 -1.45794 1.27485 -1.07165 0.85156 -0.61803 0.37476 -0.12558 -0.12558 0.37476 -0.61803 0.85156 -1.07165 1.27485 -1.45794 1.61803 -1.75261 1.85955 -1.93717 1.98423 0.00000 ... ... ..... ....... ......... ........... ............. E19' 2.00000 -0.04188 -1.99825 0.12558 1.99299 -0.20906 -1.98423 0.29217 1.97199 -0.37476 -1.95630 0.45670 1.93717 -0.53784 -1.91464 0.61803 1.88875 -0.69714 -1.85955 0.77503 1.82709 -0.85156 -1.79142 0.92659 1.75261 -1.00000 -1.71073 1.07165 1.66584 -1.14143 -1.61803 1.20920 1.56739 -1.27485 -1.51399 1.33826 1.45794 -1.39933 0.00000 2.00000 -0.04188 0.12558 -0.20906 0.29217 -0.37476 0.45670 -0.53784 0.61803 -0.69714 0.77503 -0.85156 0.92659 -1.00000 1.07165 -1.14143 1.20920 -1.27485 1.33826 -1.39933 1.45794 -1.51399 1.56739 -1.61803 1.66584 -1.71073 1.75261 -1.79142 1.82709 -1.85955 1.88875 -1.91464 1.93717 -1.95630 1.97199 -1.98423 1.99299 -1.99825 0.00000 ... ... ..... ....... ......... ........... ............. E19" 2.00000 -0.04188 -1.99825 0.12558 1.99299 -0.20906 -1.98423 0.29217 1.97199 -0.37476 -1.95630 0.45670 1.93717 -0.53784 -1.91464 0.61803 1.88875 -0.69714 -1.85955 0.77503 1.82709 -0.85156 -1.79142 0.92659 1.75261 -1.00000 -1.71073 1.07165 1.66584 -1.14143 -1.61803 1.20920 1.56739 -1.27485 -1.51399 1.33826 1.45794 -1.39933 0.00000 -2.00000 0.04188 -0.12558 0.20906 -0.29217 0.37476 -0.45670 0.53784 -0.61803 0.69714 -0.77503 0.85156 -0.92659 1.00000 -1.07165 1.14143 -1.20920 1.27485 -1.33826 1.39933 -1.45794 1.51399 -1.56739 1.61803 -1.66584 1.71073 -1.75261 1.79142 -1.82709 1.85955 -1.88875 1.91464 -1.93717 1.95630 -1.97199 1.98423 -1.99299 1.99825 0.00000 ... ... ..... ....... ......... ........... ............. E20' 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 0.00000 2.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E20" 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 0.00000 -2.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E21' 2.00000 -0.37476 -1.85955 1.07165 1.45794 -1.61803 -0.85156 1.93717 0.12558 -1.98423 0.61803 1.75261 -1.27485 -1.27485 1.75261 0.61803 -1.98423 0.12558 1.93717 -0.85156 -1.61803 1.45794 1.07165 -1.85955 -0.37476 2.00000 -0.37476 -1.85955 1.07165 1.45794 -1.61803 -0.85156 1.93717 0.12558 -1.98423 0.61803 1.75261 -1.27485 0.00000 2.00000 -0.37476 1.07165 -1.61803 1.93717 -1.98423 1.75261 -1.27485 0.61803 0.12558 -0.85156 1.45794 -1.85955 2.00000 -1.85955 1.45794 -0.85156 0.12558 0.61803 -1.27485 1.75261 -1.98423 1.93717 -1.61803 1.07165 -0.37476 -0.37476 1.07165 -1.61803 1.93717 -1.98423 1.75261 -1.27485 0.61803 0.12558 -0.85156 1.45794 -1.85955 0.00000 ... ... ..... ....... ......... ........... ............. E21" 2.00000 -0.37476 -1.85955 1.07165 1.45794 -1.61803 -0.85156 1.93717 0.12558 -1.98423 0.61803 1.75261 -1.27485 -1.27485 1.75261 0.61803 -1.98423 0.12558 1.93717 -0.85156 -1.61803 1.45794 1.07165 -1.85955 -0.37476 2.00000 -0.37476 -1.85955 1.07165 1.45794 -1.61803 -0.85156 1.93717 0.12558 -1.98423 0.61803 1.75261 -1.27485 0.00000 -2.00000 0.37476 -1.07165 1.61803 -1.93717 1.98423 -1.75261 1.27485 -0.61803 -0.12558 0.85156 -1.45794 1.85955 -2.00000 1.85955 -1.45794 0.85156 -0.12558 -0.61803 1.27485 -1.75261 1.98423 -1.93717 1.61803 -1.07165 0.37476 0.37476 -1.07165 1.61803 -1.93717 1.98423 -1.75261 1.27485 -0.61803 -0.12558 0.85156 -1.45794 1.85955 0.00000 ... ... ..... ....... ......... ........... ............. E22' 2.00000 -0.53784 -1.71073 1.45794 0.92659 -1.95630 0.12558 1.88875 -1.14143 -1.27485 1.82709 0.29217 -1.98423 0.77503 1.56739 -1.61803 -0.69714 1.99299 -0.37476 -1.79142 1.33826 1.07165 -1.91464 -0.04188 1.93717 -1.00000 -1.39933 1.75261 0.45670 -1.99825 0.61803 1.66584 -1.51399 -0.85156 1.97199 -0.20906 -1.85955 1.20920 0.00000 2.00000 -0.53784 1.45794 -1.95630 1.88875 -1.27485 0.29217 0.77503 -1.61803 1.99299 -1.79142 1.07165 -0.04188 -1.00000 1.75261 -1.99825 1.66584 -0.85156 -0.20906 1.20920 -1.85955 1.97199 -1.51399 0.61803 0.45670 -1.39933 1.93717 -1.91464 1.33826 -0.37476 -0.69714 1.56739 -1.98423 1.82709 -1.14143 0.12558 0.92659 -1.71073 0.00000 ... ... ..... ....... ......... ........... ............. E22" 2.00000 -0.53784 -1.71073 1.45794 0.92659 -1.95630 0.12558 1.88875 -1.14143 -1.27485 1.82709 0.29217 -1.98423 0.77503 1.56739 -1.61803 -0.69714 1.99299 -0.37476 -1.79142 1.33826 1.07165 -1.91464 -0.04188 1.93717 -1.00000 -1.39933 1.75261 0.45670 -1.99825 0.61803 1.66584 -1.51399 -0.85156 1.97199 -0.20906 -1.85955 1.20920 0.00000 -2.00000 0.53784 -1.45794 1.95630 -1.88875 1.27485 -0.29217 -0.77503 1.61803 -1.99299 1.79142 -1.07165 0.04188 1.00000 -1.75261 1.99825 -1.66584 0.85156 0.20906 -1.20920 1.85955 -1.97199 1.51399 -0.61803 -0.45670 1.39933 -1.93717 1.91464 -1.33826 0.37476 0.69714 -1.56739 1.98423 -1.82709 1.14143 -0.12558 -0.92659 1.71073 0.00000 ... ... ..... ....... ......... ........... ............. E23' 2.00000 -0.69714 -1.51399 1.75261 0.29217 -1.95630 1.07165 1.20920 -1.91464 0.12558 1.82709 -1.39933 -0.85156 1.99299 -0.53784 -1.61803 1.66584 0.45670 -1.98423 0.92659 1.33826 -1.85955 -0.04188 1.88875 -1.27485 -1.00000 1.97199 -0.37476 -1.71073 1.56739 0.61803 -1.99825 0.77503 1.45794 -1.79142 -0.20906 1.93717 -1.14143 0.00000 2.00000 -0.69714 1.75261 -1.95630 1.20920 0.12558 -1.39933 1.99299 -1.61803 0.45670 0.92659 -1.85955 1.88875 -1.00000 -0.37476 1.56739 -1.99825 1.45794 -0.20906 -1.14143 1.93717 -1.79142 0.77503 0.61803 -1.71073 1.97199 -1.27485 -0.04188 1.33826 -1.98423 1.66584 -0.53784 -0.85156 1.82709 -1.91464 1.07165 0.29217 -1.51399 0.00000 ... ... ..... ....... ......... ........... ............. E23" 2.00000 -0.69714 -1.51399 1.75261 0.29217 -1.95630 1.07165 1.20920 -1.91464 0.12558 1.82709 -1.39933 -0.85156 1.99299 -0.53784 -1.61803 1.66584 0.45670 -1.98423 0.92659 1.33826 -1.85955 -0.04188 1.88875 -1.27485 -1.00000 1.97199 -0.37476 -1.71073 1.56739 0.61803 -1.99825 0.77503 1.45794 -1.79142 -0.20906 1.93717 -1.14143 0.00000 -2.00000 0.69714 -1.75261 1.95630 -1.20920 -0.12558 1.39933 -1.99299 1.61803 -0.45670 -0.92659 1.85955 -1.88875 1.00000 0.37476 -1.56739 1.99825 -1.45794 0.20906 1.14143 -1.93717 1.79142 -0.77503 -0.61803 1.71073 -1.97199 1.27485 0.04188 -1.33826 1.98423 -1.66584 0.53784 0.85156 -1.82709 1.91464 -1.07165 -0.29217 1.51399 0.00000 ... ... ..... ....... ......... ........... ............. E24' 2.00000 -0.85156 -1.27485 1.93717 -0.37476 -1.61803 1.75261 0.12558 -1.85955 1.45794 0.61803 -1.98423 1.07165 1.07165 -1.98423 0.61803 1.45794 -1.85955 0.12558 1.75261 -1.61803 -0.37476 1.93717 -1.27485 -0.85156 2.00000 -0.85156 -1.27485 1.93717 -0.37476 -1.61803 1.75261 0.12558 -1.85955 1.45794 0.61803 -1.98423 1.07165 0.00000 2.00000 -0.85156 1.93717 -1.61803 0.12558 1.45794 -1.98423 1.07165 0.61803 -1.85955 1.75261 -0.37476 -1.27485 2.00000 -1.27485 -0.37476 1.75261 -1.85955 0.61803 1.07165 -1.98423 1.45794 0.12558 -1.61803 1.93717 -0.85156 -0.85156 1.93717 -1.61803 0.12558 1.45794 -1.98423 1.07165 0.61803 -1.85955 1.75261 -0.37476 -1.27485 0.00000 ... ... ..... ....... ......... ........... ............. E24" 2.00000 -0.85156 -1.27485 1.93717 -0.37476 -1.61803 1.75261 0.12558 -1.85955 1.45794 0.61803 -1.98423 1.07165 1.07165 -1.98423 0.61803 1.45794 -1.85955 0.12558 1.75261 -1.61803 -0.37476 1.93717 -1.27485 -0.85156 2.00000 -0.85156 -1.27485 1.93717 -0.37476 -1.61803 1.75261 0.12558 -1.85955 1.45794 0.61803 -1.98423 1.07165 0.00000 -2.00000 0.85156 -1.93717 1.61803 -0.12558 -1.45794 1.98423 -1.07165 -0.61803 1.85955 -1.75261 0.37476 1.27485 -2.00000 1.27485 0.37476 -1.75261 1.85955 -0.61803 -1.07165 1.98423 -1.45794 -0.12558 1.61803 -1.93717 0.85156 0.85156 -1.93717 1.61803 -0.12558 -1.45794 1.98423 -1.07165 -0.61803 1.85955 -1.75261 0.37476 1.27485 0.00000 ... ... ..... ....... ......... ........... ............. E25' 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 0.00000 2.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 0.00000 ... ... ..... ....... ......... ........... ............. E25" 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 0.00000 -2.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 0.00000 ... ... ..... ....... ......... ........... ............. E26' 2.00000 -1.14143 -0.69714 1.93717 -1.51399 -0.20906 1.75261 -1.79142 0.29217 1.45794 -1.95630 0.77503 1.07165 -1.99825 1.20920 0.61803 -1.91464 1.56739 0.12558 -1.71073 1.82709 -0.37476 -1.39933 1.97199 -0.85156 -1.00000 1.99299 -1.27485 -0.53784 1.88875 -1.61803 -0.04188 1.66584 -1.85955 0.45670 1.33826 -1.98423 0.92659 0.00000 2.00000 -1.14143 1.93717 -0.20906 -1.79142 1.45794 0.77503 -1.99825 0.61803 1.56739 -1.71073 -0.37476 1.97199 -1.00000 -1.27485 1.88875 -0.04188 -1.85955 1.33826 0.92659 -1.98423 0.45670 1.66584 -1.61803 -0.53784 1.99299 -0.85156 -1.39933 1.82709 0.12558 -1.91464 1.20920 1.07165 -1.95630 0.29217 1.75261 -1.51399 -0.69714 0.00000 ... ... ..... ....... ......... ........... ............. E26" 2.00000 -1.14143 -0.69714 1.93717 -1.51399 -0.20906 1.75261 -1.79142 0.29217 1.45794 -1.95630 0.77503 1.07165 -1.99825 1.20920 0.61803 -1.91464 1.56739 0.12558 -1.71073 1.82709 -0.37476 -1.39933 1.97199 -0.85156 -1.00000 1.99299 -1.27485 -0.53784 1.88875 -1.61803 -0.04188 1.66584 -1.85955 0.45670 1.33826 -1.98423 0.92659 0.00000 -2.00000 1.14143 -1.93717 0.20906 1.79142 -1.45794 -0.77503 1.99825 -0.61803 -1.56739 1.71073 0.37476 -1.97199 1.00000 1.27485 -1.88875 0.04188 1.85955 -1.33826 -0.92659 1.98423 -0.45670 -1.66584 1.61803 0.53784 -1.99299 0.85156 1.39933 -1.82709 -0.12558 1.91464 -1.20920 -1.07165 1.95630 -0.29217 -1.75261 1.51399 0.69714 0.00000 ... ... ..... ....... ......... ........... ............. E27' 2.00000 -1.27485 -0.37476 1.75261 -1.85955 0.61803 1.07165 -1.98423 1.45794 0.12558 -1.61803 1.93717 -0.85156 -0.85156 1.93717 -1.61803 0.12558 1.45794 -1.98423 1.07165 0.61803 -1.85955 1.75261 -0.37476 -1.27485 2.00000 -1.27485 -0.37476 1.75261 -1.85955 0.61803 1.07165 -1.98423 1.45794 0.12558 -1.61803 1.93717 -0.85156 0.00000 2.00000 -1.27485 1.75261 0.61803 -1.98423 0.12558 1.93717 -0.85156 -1.61803 1.45794 1.07165 -1.85955 -0.37476 2.00000 -0.37476 -1.85955 1.07165 1.45794 -1.61803 -0.85156 1.93717 0.12558 -1.98423 0.61803 1.75261 -1.27485 -1.27485 1.75261 0.61803 -1.98423 0.12558 1.93717 -0.85156 -1.61803 1.45794 1.07165 -1.85955 -0.37476 0.00000 ... ... ..... ....... ......... ........... ............. E27" 2.00000 -1.27485 -0.37476 1.75261 -1.85955 0.61803 1.07165 -1.98423 1.45794 0.12558 -1.61803 1.93717 -0.85156 -0.85156 1.93717 -1.61803 0.12558 1.45794 -1.98423 1.07165 0.61803 -1.85955 1.75261 -0.37476 -1.27485 2.00000 -1.27485 -0.37476 1.75261 -1.85955 0.61803 1.07165 -1.98423 1.45794 0.12558 -1.61803 1.93717 -0.85156 0.00000 -2.00000 1.27485 -1.75261 -0.61803 1.98423 -0.12558 -1.93717 0.85156 1.61803 -1.45794 -1.07165 1.85955 0.37476 -2.00000 0.37476 1.85955 -1.07165 -1.45794 1.61803 0.85156 -1.93717 -0.12558 1.98423 -0.61803 -1.75261 1.27485 1.27485 -1.75261 -0.61803 1.98423 -0.12558 -1.93717 0.85156 1.61803 -1.45794 -1.07165 1.85955 0.37476 0.00000 ... ... ..... ....... ......... ........... ............. E28' 2.00000 -1.39933 -0.04188 1.45794 -1.99825 1.33826 0.12558 -1.51399 1.99299 -1.27485 -0.20906 1.56739 -1.98423 1.20920 0.29217 -1.61803 1.97199 -1.14143 -0.37476 1.66584 -1.95630 1.07165 0.45670 -1.71073 1.93717 -1.00000 -0.53784 1.75261 -1.91464 0.92659 0.61803 -1.79142 1.88875 -0.85156 -0.69714 1.82709 -1.85955 0.77503 0.00000 2.00000 -1.39933 1.45794 1.33826 -1.51399 -1.27485 1.56739 1.20920 -1.61803 -1.14143 1.66584 1.07165 -1.71073 -1.00000 1.75261 0.92659 -1.79142 -0.85156 1.82709 0.77503 -1.85955 -0.69714 1.88875 0.61803 -1.91464 -0.53784 1.93717 0.45670 -1.95630 -0.37476 1.97199 0.29217 -1.98423 -0.20906 1.99299 0.12558 -1.99825 -0.04188 0.00000 ... ... ..... ....... ......... ........... ............. E28" 2.00000 -1.39933 -0.04188 1.45794 -1.99825 1.33826 0.12558 -1.51399 1.99299 -1.27485 -0.20906 1.56739 -1.98423 1.20920 0.29217 -1.61803 1.97199 -1.14143 -0.37476 1.66584 -1.95630 1.07165 0.45670 -1.71073 1.93717 -1.00000 -0.53784 1.75261 -1.91464 0.92659 0.61803 -1.79142 1.88875 -0.85156 -0.69714 1.82709 -1.85955 0.77503 0.00000 -2.00000 1.39933 -1.45794 -1.33826 1.51399 1.27485 -1.56739 -1.20920 1.61803 1.14143 -1.66584 -1.07165 1.71073 1.00000 -1.75261 -0.92659 1.79142 0.85156 -1.82709 -0.77503 1.85955 0.69714 -1.88875 -0.61803 1.91464 0.53784 -1.93717 -0.45670 1.95630 0.37476 -1.97199 -0.29217 1.98423 0.20906 -1.99299 -0.12558 1.99825 0.04188 0.00000 ... ... ..... ....... ......... ........... ............. E29' 2.00000 -1.51399 0.29217 1.07165 -1.91464 1.82709 -0.85156 -0.53784 1.66584 -1.98423 1.33826 -0.04188 -1.27485 1.97199 -1.71073 0.61803 0.77503 -1.79142 1.93717 -1.14143 -0.20906 1.45794 -1.99825 1.56739 -0.37476 -1.00000 1.88875 -1.85955 0.92659 0.45670 -1.61803 1.99299 -1.39933 0.12558 1.20920 -1.95630 1.75261 -0.69714 0.00000 2.00000 -1.51399 1.07165 1.82709 -0.53784 -1.98423 -0.04188 1.97199 0.61803 -1.79142 -1.14143 1.45794 1.56739 -1.00000 -1.85955 0.45670 1.99299 0.12558 -1.95630 -0.69714 1.75261 1.20920 -1.39933 -1.61803 0.92659 1.88875 -0.37476 -1.99825 -0.20906 1.93717 0.77503 -1.71073 -1.27485 1.33826 1.66584 -0.85156 -1.91464 0.29217 0.00000 ... ... ..... ....... ......... ........... ............. E29" 2.00000 -1.51399 0.29217 1.07165 -1.91464 1.82709 -0.85156 -0.53784 1.66584 -1.98423 1.33826 -0.04188 -1.27485 1.97199 -1.71073 0.61803 0.77503 -1.79142 1.93717 -1.14143 -0.20906 1.45794 -1.99825 1.56739 -0.37476 -1.00000 1.88875 -1.85955 0.92659 0.45670 -1.61803 1.99299 -1.39933 0.12558 1.20920 -1.95630 1.75261 -0.69714 0.00000 -2.00000 1.51399 -1.07165 -1.82709 0.53784 1.98423 0.04188 -1.97199 -0.61803 1.79142 1.14143 -1.45794 -1.56739 1.00000 1.85955 -0.45670 -1.99299 -0.12558 1.95630 0.69714 -1.75261 -1.20920 1.39933 1.61803 -0.92659 -1.88875 0.37476 1.99825 0.20906 -1.93717 -0.77503 1.71073 1.27485 -1.33826 -1.66584 0.85156 1.91464 -0.29217 0.00000 ... ... ..... ....... ......... ........... ............. E30' 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 0.00000 2.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E30" 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 0.00000 -2.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E31' 2.00000 -1.71073 0.92659 0.12558 -1.14143 1.82709 -1.98423 1.56739 -0.69714 -0.37476 1.33826 -1.91464 1.93717 -1.39933 0.45670 0.61803 -1.51399 1.97199 -1.85955 1.20920 -0.20906 -0.85156 1.66584 -1.99825 1.75261 -1.00000 -0.04188 1.07165 -1.79142 1.99299 -1.61803 0.77503 0.29217 -1.27485 1.88875 -1.95630 1.45794 -0.53784 0.00000 2.00000 -1.71073 0.12558 1.82709 1.56739 -0.37476 -1.91464 -1.39933 0.61803 1.97199 1.20920 -0.85156 -1.99825 -1.00000 1.07165 1.99299 0.77503 -1.27485 -1.95630 -0.53784 1.45794 1.88875 0.29217 -1.61803 -1.79142 -0.04188 1.75261 1.66584 -0.20906 -1.85955 -1.51399 0.45670 1.93717 1.33826 -0.69714 -1.98423 -1.14143 0.92659 0.00000 ... ... ..... ....... ......... ........... ............. E31" 2.00000 -1.71073 0.92659 0.12558 -1.14143 1.82709 -1.98423 1.56739 -0.69714 -0.37476 1.33826 -1.91464 1.93717 -1.39933 0.45670 0.61803 -1.51399 1.97199 -1.85955 1.20920 -0.20906 -0.85156 1.66584 -1.99825 1.75261 -1.00000 -0.04188 1.07165 -1.79142 1.99299 -1.61803 0.77503 0.29217 -1.27485 1.88875 -1.95630 1.45794 -0.53784 0.00000 -2.00000 1.71073 -0.12558 -1.82709 -1.56739 0.37476 1.91464 1.39933 -0.61803 -1.97199 -1.20920 0.85156 1.99825 1.00000 -1.07165 -1.99299 -0.77503 1.27485 1.95630 0.53784 -1.45794 -1.88875 -0.29217 1.61803 1.79142 0.04188 -1.75261 -1.66584 0.20906 1.85955 1.51399 -0.45670 -1.93717 -1.33826 0.69714 1.98423 1.14143 -0.92659 0.00000 ... ... ..... ....... ......... ........... ............. E32' 2.00000 -1.79142 1.20920 -0.37476 -0.53784 1.33826 -1.85955 1.99299 -1.71073 1.07165 -0.20906 -0.69714 1.45794 -1.91464 1.97199 -1.61803 0.92659 -0.04188 -0.85156 1.56739 -1.95630 1.93717 -1.51399 0.77503 0.12558 -1.00000 1.66584 -1.98423 1.88875 -1.39933 0.61803 0.29217 -1.14143 1.75261 -1.99825 1.82709 -1.27485 0.45670 0.00000 2.00000 -1.79142 -0.37476 1.33826 1.99299 1.07165 -0.69714 -1.91464 -1.61803 -0.04188 1.56739 1.93717 0.77503 -1.00000 -1.98423 -1.39933 0.29217 1.75261 1.82709 0.45670 -1.27485 -1.99825 -1.14143 0.61803 1.88875 1.66584 0.12558 -1.51399 -1.95630 -0.85156 0.92659 1.97199 1.45794 -0.20906 -1.71073 -1.85955 -0.53784 1.20920 0.00000 ... ... ..... ....... ......... ........... ............. E32" 2.00000 -1.79142 1.20920 -0.37476 -0.53784 1.33826 -1.85955 1.99299 -1.71073 1.07165 -0.20906 -0.69714 1.45794 -1.91464 1.97199 -1.61803 0.92659 -0.04188 -0.85156 1.56739 -1.95630 1.93717 -1.51399 0.77503 0.12558 -1.00000 1.66584 -1.98423 1.88875 -1.39933 0.61803 0.29217 -1.14143 1.75261 -1.99825 1.82709 -1.27485 0.45670 0.00000 -2.00000 1.79142 0.37476 -1.33826 -1.99299 -1.07165 0.69714 1.91464 1.61803 0.04188 -1.56739 -1.93717 -0.77503 1.00000 1.98423 1.39933 -0.29217 -1.75261 -1.82709 -0.45670 1.27485 1.99825 1.14143 -0.61803 -1.88875 -1.66584 -0.12558 1.51399 1.95630 0.85156 -0.92659 -1.97199 -1.45794 0.20906 1.71073 1.85955 0.53784 -1.20920 0.00000 ... ... ..... ....... ......... ........... ............. E33' 2.00000 -1.85955 1.45794 -0.85156 0.12558 0.61803 -1.27485 1.75261 -1.98423 1.93717 -1.61803 1.07165 -0.37476 -0.37476 1.07165 -1.61803 1.93717 -1.98423 1.75261 -1.27485 0.61803 0.12558 -0.85156 1.45794 -1.85955 2.00000 -1.85955 1.45794 -0.85156 0.12558 0.61803 -1.27485 1.75261 -1.98423 1.93717 -1.61803 1.07165 -0.37476 0.00000 2.00000 -1.85955 -0.85156 0.61803 1.75261 1.93717 1.07165 -0.37476 -1.61803 -1.98423 -1.27485 0.12558 1.45794 2.00000 1.45794 0.12558 -1.27485 -1.98423 -1.61803 -0.37476 1.07165 1.93717 1.75261 0.61803 -0.85156 -1.85955 -1.85955 -0.85156 0.61803 1.75261 1.93717 1.07165 -0.37476 -1.61803 -1.98423 -1.27485 0.12558 1.45794 0.00000 ... ... ..... ....... ......... ........... ............. E33" 2.00000 -1.85955 1.45794 -0.85156 0.12558 0.61803 -1.27485 1.75261 -1.98423 1.93717 -1.61803 1.07165 -0.37476 -0.37476 1.07165 -1.61803 1.93717 -1.98423 1.75261 -1.27485 0.61803 0.12558 -0.85156 1.45794 -1.85955 2.00000 -1.85955 1.45794 -0.85156 0.12558 0.61803 -1.27485 1.75261 -1.98423 1.93717 -1.61803 1.07165 -0.37476 0.00000 -2.00000 1.85955 0.85156 -0.61803 -1.75261 -1.93717 -1.07165 0.37476 1.61803 1.98423 1.27485 -0.12558 -1.45794 -2.00000 -1.45794 -0.12558 1.27485 1.98423 1.61803 0.37476 -1.07165 -1.93717 -1.75261 -0.61803 0.85156 1.85955 1.85955 0.85156 -0.61803 -1.75261 -1.93717 -1.07165 0.37476 1.61803 1.98423 1.27485 -0.12558 -1.45794 0.00000 ... ... ..... ....... ......... ........... ............. E34' 2.00000 -1.91464 1.66584 -1.27485 0.77503 -0.20906 -0.37476 0.92659 -1.39933 1.75261 -1.95630 1.99299 -1.85955 1.56739 -1.14143 0.61803 -0.04188 -0.53784 1.07165 -1.51399 1.82709 -1.98423 1.97199 -1.79142 1.45794 -1.00000 0.45670 0.12558 -0.69714 1.20920 -1.61803 1.88875 -1.99825 1.93717 -1.71073 1.33826 -0.85156 0.29217 0.00000 2.00000 -1.91464 -1.27485 -0.20906 0.92659 1.75261 1.99299 1.56739 0.61803 -0.53784 -1.51399 -1.98423 -1.79142 -1.00000 0.12558 1.20920 1.88875 1.93717 1.33826 0.29217 -0.85156 -1.71073 -1.99825 -1.61803 -0.69714 0.45670 1.45794 1.97199 1.82709 1.07165 -0.04188 -1.14143 -1.85955 -1.95630 -1.39933 -0.37476 0.77503 1.66584 0.00000 ... ... ..... ....... ......... ........... ............. E34" 2.00000 -1.91464 1.66584 -1.27485 0.77503 -0.20906 -0.37476 0.92659 -1.39933 1.75261 -1.95630 1.99299 -1.85955 1.56739 -1.14143 0.61803 -0.04188 -0.53784 1.07165 -1.51399 1.82709 -1.98423 1.97199 -1.79142 1.45794 -1.00000 0.45670 0.12558 -0.69714 1.20920 -1.61803 1.88875 -1.99825 1.93717 -1.71073 1.33826 -0.85156 0.29217 0.00000 -2.00000 1.91464 1.27485 0.20906 -0.92659 -1.75261 -1.99299 -1.56739 -0.61803 0.53784 1.51399 1.98423 1.79142 1.00000 -0.12558 -1.20920 -1.88875 -1.93717 -1.33826 -0.29217 0.85156 1.71073 1.99825 1.61803 0.69714 -0.45670 -1.45794 -1.97199 -1.82709 -1.07165 0.04188 1.14143 1.85955 1.95630 1.39933 0.37476 -0.77503 -1.66584 0.00000 ... ... ..... ....... ......... ........... ............. E35' 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 0.00000 2.00000 -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 0.00000 ... ... ..... ....... ......... ........... ............. E35" 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 0.00000 -2.00000 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 0.00000 ... ... ..... ....... ......... ........... ............. E36' 2.00000 -1.98423 1.93717 -1.85955 1.75261 -1.61803 1.45794 -1.27485 1.07165 -0.85156 0.61803 -0.37476 0.12558 0.12558 -0.37476 0.61803 -0.85156 1.07165 -1.27485 1.45794 -1.61803 1.75261 -1.85955 1.93717 -1.98423 2.00000 -1.98423 1.93717 -1.85955 1.75261 -1.61803 1.45794 -1.27485 1.07165 -0.85156 0.61803 -0.37476 0.12558 0.00000 2.00000 -1.98423 -1.85955 -1.61803 -1.27485 -0.85156 -0.37476 0.12558 0.61803 1.07165 1.45794 1.75261 1.93717 2.00000 1.93717 1.75261 1.45794 1.07165 0.61803 0.12558 -0.37476 -0.85156 -1.27485 -1.61803 -1.85955 -1.98423 -1.98423 -1.85955 -1.61803 -1.27485 -0.85156 -0.37476 0.12558 0.61803 1.07165 1.45794 1.75261 1.93717 0.00000 ... ... ..... ....... ......... ........... ............. E36" 2.00000 -1.98423 1.93717 -1.85955 1.75261 -1.61803 1.45794 -1.27485 1.07165 -0.85156 0.61803 -0.37476 0.12558 0.12558 -0.37476 0.61803 -0.85156 1.07165 -1.27485 1.45794 -1.61803 1.75261 -1.85955 1.93717 -1.98423 2.00000 -1.98423 1.93717 -1.85955 1.75261 -1.61803 1.45794 -1.27485 1.07165 -0.85156 0.61803 -0.37476 0.12558 0.00000 -2.00000 1.98423 1.85955 1.61803 1.27485 0.85156 0.37476 -0.12558 -0.61803 -1.07165 -1.45794 -1.75261 -1.93717 -2.00000 -1.93717 -1.75261 -1.45794 -1.07165 -0.61803 -0.12558 0.37476 0.85156 1.27485 1.61803 1.85955 1.98423 1.98423 1.85955 1.61803 1.27485 0.85156 0.37476 -0.12558 -0.61803 -1.07165 -1.45794 -1.75261 -1.93717 0.00000 ... ... ..... ....... ......... ........... ............. E37' 2.00000 -1.99825 1.99299 -1.98423 1.97199 -1.95630 1.93717 -1.91464 1.88875 -1.85955 1.82709 -1.79142 1.75261 -1.71073 1.66584 -1.61803 1.56739 -1.51399 1.45794 -1.39933 1.33826 -1.27485 1.20920 -1.14143 1.07165 -1.00000 0.92659 -0.85156 0.77503 -0.69714 0.61803 -0.53784 0.45670 -0.37476 0.29217 -0.20906 0.12558 -0.04188 0.00000 2.00000 -1.99825 -1.98423 -1.95630 -1.91464 -1.85955 -1.79142 -1.71073 -1.61803 -1.51399 -1.39933 -1.27485 -1.14143 -1.00000 -0.85156 -0.69714 -0.53784 -0.37476 -0.20906 -0.04188 0.12558 0.29217 0.45670 0.61803 0.77503 0.92659 1.07165 1.20920 1.33826 1.45794 1.56739 1.66584 1.75261 1.82709 1.88875 1.93717 1.97199 1.99299 0.00000 ... ... ..... ....... ......... ........... ............. E37" 2.00000 -1.99825 1.99299 -1.98423 1.97199 -1.95630 1.93717 -1.91464 1.88875 -1.85955 1.82709 -1.79142 1.75261 -1.71073 1.66584 -1.61803 1.56739 -1.51399 1.45794 -1.39933 1.33826 -1.27485 1.20920 -1.14143 1.07165 -1.00000 0.92659 -0.85156 0.77503 -0.69714 0.61803 -0.53784 0.45670 -0.37476 0.29217 -0.20906 0.12558 -0.04188 0.00000 -2.00000 1.99825 1.98423 1.95630 1.91464 1.85955 1.79142 1.71073 1.61803 1.51399 1.39933 1.27485 1.14143 1.00000 0.85156 0.69714 0.53784 0.37476 0.20906 0.04188 -0.12558 -0.29217 -0.45670 -0.61803 -0.77503 -0.92659 -1.07165 -1.20920 -1.33826 -1.45794 -1.56739 -1.66584 -1.75261 -1.82709 -1.88875 -1.93717 -1.97199 -1.99299 0.00000 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.998245660198 = 2*cos(2*π/150) = 2*cos(π/75) 1.992985718499 = 2*cos(4*π/150) = 2*cos(2*π/75) 1.984229402629 = 2*cos(6*π/150) = 2*cos(π/25) 1.971992074141 = 2*cos(8*π/150) = 2*cos(4*π/75) 1.956295201468 = 2*cos(10*π/150) = 2*cos(π/15) = (√5−1+√30+6*√5)/4 1.937166322257 = 2*cos(12*π/150) = 2*cos(2*π/25) 1.914638995064 = 2*cos(14*π/150) = 2*cos(7*π/75) 1.888752740475 = 2*cos(16*π/150) = 2*cos(8*π/75) 1.859552971777 = 2*cos(18*π/150) = 2*cos(3*π/25) 1.827090915285 = 2*cos(20*π/150) = 2*cos(2*π/15) = (1+√5+√30−6*√5)/4 1.791423520479 = 2*cos(22*π/150) = 2*cos(11*π/75) 1.752613360088 = 2*cos(24*π/150) = 2*cos(4*π/25) 1.710728520321 = 2*cos(26*π/150) = 2*cos(13*π/75) 1.665842481420 = 2*cos(28*π/150) = 2*cos(14*π/75) 1.618033988750 = 2*cos(30*π/150) = 2*cos(π/5) = (√5+1)/2 1.567386914652 = 2*cos(32*π/150) = 2*cos(16*π/75) 1.513990111304 = 2*cos(34*π/150) = 2*cos(17*π/75) 1.457937254843 = 2*cos(36*π/150) = 2*cos(6*π/25) 1.399326681027 = 2*cos(38*π/150) = 2*cos(19*π/75) 1.338261212718 = 2*cos(40*π/150) = 2*cos(4*π/15) = (1−√5+√30+6*√5)/4 1.274847979497 = 2*cos(42*π/150) = 2*cos(7*π/25) 1.209198229725 = 2*cos(44*π/150) = 2*cos(22*π/75) 1.141427135369 = 2*cos(46*π/150) = 2*cos(23*π/75) 1.071653589958 = 2*cos(48*π/150) = 2*cos(8*π/25) 0.926592070240 = 2*cos(52*π/150) = 2*cos(26*π/75) 0.851558583130 = 2*cos(54*π/150) = 2*cos(9*π/25) 0.775031172904 = 2*cos(56*π/150) = 2*cos(28*π/75) 0.697144094644 = 2*cos(58*π/150) = 2*cos(29*π/75) 0.618033988750 = 2*cos(60*π/150) = 2*cos(2*π/5) = (√5−1)/2 0.537839641231 = 2*cos(62*π/150) = 2*cos(31*π/75) 0.456701740221 = 2*cos(64*π/150) = 2*cos(32*π/75) 0.374762629171 = 2*cos(66*π/150) = 2*cos(11*π/25) 0.292166057125 = 2*cos(68*π/150) = 2*cos(34*π/75) 0.209056926535 = 2*cos(70*π/150) = 2*cos(7*π/15) = (√30−6*√5−√5−1)/4 0.125581039059 = 2*cos(72*π/150) = 2*cos(12*π/25) 0.041884839767 = 2*cos(74*π/150) = 2*cos(37*π/75) Symmetry of Rotations and Cartesian products A1' d+g+i+k+m z2, z4, z6 A2' R Rz A2" p+f+h+j+l z, z3, z5 E1' p+f+h+j+l {x, y}, {xz2, yz2}, {xz4, yz4} E1" R+d+g+i+k+m {Rx, Ry}, {xz, yz}, {xz3, yz3}, {xz5, yz5} E2' d+g+i+k+m {x2−y2, xy}, {z2(x2−y2), xyz2}, {z4(x2−y2), xyz4} E2" f+h+j+l {z(x2−y2), xyz}, {z3(x2−y2), xyz3} E3' f+h+j+l {x(x2−3y2), y(3x2−y2)}, {xz2(x2−3y2), yz2(3x2−y2)} E3" g+i+k+m {xz(x2−3y2), yz(3x2−y2)}, {xz3(x2−3y2), yz3(3x2−y2)} E4' g+i+k+m {(x2−y2)2−4x2y2, xy(x2−y2)}, {z2((x2−y2)2−4x2y2), xyz2(x2−y2)} E4" h+j+l {z((x2−y2)2−4x2y2), xyz(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)} E5" 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)} E6' i+k+m {x2(x2−3y2)2−y2(3x2−y2)2, xy(x2−3y2)(3x2−y2)} E6" j+l E7' j+l E7" k+m E8' k+m E8" l E9' l E9" m E10' m Notes: α The order of the D75h point group is 300, and the order of the principal axis (S75) is 150. The group has 78 irreducible representations. β The D75h point group is isomorphic to D75d, C150v and D150. γ The D75h point group is generated by two symmetry elements, S75 and either a perpendicular C2′ or a vertical σv. Also, the group may be generated from two σv planes, or a σv and a C2′ (some pairs will yield smaller groups, though; choosing a minimum angle is safe). The canonical choice, however, is to use redundant generators: C75, C2′ and σh. 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. Similarly, the single set of symmetry planes denoted σd contains the xz plane but not the yz plane. ε The lowest nonvanishing multipole moment in D75h is 4 (quadrupole moment). ζ This point group is non-Abelian (some symmetry operations are not commutative). Therefore, the character table contains multi-membered classes and degenerate irreducible representations. η Some of the characters in the table are irrational because the order of the principal axis is neither 1,2,3,4 nor 6. These irrational values can be expressed as cosine values, or as solutions of algebraic equations with a leading coefficient of 1. All characters are algebraic integers of a degree much less than half the order of the principal axis. For this group, however, some of the irrational characters cannot be expressed by a closed algebraic form using real numbers only.
D73h | ||
D74h | ||
C75 C75v C75h D75 | D75h | D75d |
D76h | ||
D77h |
This Character Table for the D75h point group was created by Gernot Katzer.
For other groups and some explanations, see the Main Page.