C107 E 2 C107 2 C107^2 2 C107^3 2 C107^4 2 C107^5 2 C107^6 2 C107^7 2 C107^8 2 C107^9 2 C107^10 2 C107^11 2 C107^12 2 C107^13 2 C107^14 2 C107^15 2 C107^16 2 C107^17 2 C107^18 2 C107^19 2 C107^20 2 C107^21 2 C107^22 2 C107^23 2 C107^24 2 C107^25 2 C107^26 2 C107^27 2 C107^28 2 C107^29 2 C107^30 2 C107^31 2 C107^32 2 C107^33 2 C107^34 2 C107^35 2 C107^36 2 C107^37 2 C107^38 2 C107^39 2 C107^40 2 C107^41 2 C107^42 2 C107^43 2 C107^44 2 C107^45 2 C107^46 2 C107^47 2 C107^48 2 C107^49 2 C107^50 2 C107^51 2 C107^52 2 C107^53 <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> A 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 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 ......T ........T ..........T ............T E1 * 2.00000 1.99655 1.98622 1.96905 1.94508 1.91441 1.87714 1.83340 1.78334 1.72714 1.66498 1.59707 1.52367 1.44501 1.36137 1.27304 1.18032 1.08353 0.98300 0.87909 0.77214 0.66254 0.55065 0.43686 0.32157 0.20516 0.08805 -0.02936 -0.14667 -0.26348 -0.37938 -0.49397 -0.60685 -0.71765 -0.82597 -0.93145 -1.03371 -1.13241 -1.22721 -1.31777 -1.40379 -1.48498 -1.56104 -1.63173 -1.69679 -1.75600 -1.80915 -1.85607 -1.89660 -1.93058 -1.95791 -1.97849 -1.99225 -1.99914 TT. TT. ..TT. ....TT. ......TT. ........TT. ..........TT. E2 * 2.00000 1.98622 1.94508 1.87714 1.78334 1.66498 1.52367 1.36137 1.18032 0.98300 0.77214 0.55065 0.32157 0.08805 -0.14667 -0.37938 -0.60685 -0.82597 -1.03371 -1.22721 -1.40379 -1.56104 -1.69679 -1.80915 -1.89660 -1.95791 -1.99225 -1.99914 -1.97849 -1.93058 -1.85607 -1.75600 -1.63173 -1.48498 -1.31777 -1.13241 -0.93145 -0.71765 -0.49397 -0.26348 -0.02936 0.20516 0.43686 0.66254 0.87909 1.08353 1.27304 1.44501 1.59707 1.72714 1.83340 1.91441 1.96905 1.99655 ... ... TT... ..TT... ....TT... ......TT... ........TT... E3 * 2.00000 1.96905 1.87714 1.72714 1.52367 1.27304 0.98300 0.66254 0.32157 -0.02936 -0.37938 -0.71765 -1.03371 -1.31777 -1.56104 -1.75600 -1.89660 -1.97849 -1.99914 -1.95791 -1.85607 -1.69679 -1.48498 -1.22721 -0.93145 -0.60685 -0.26348 0.08805 0.43686 0.77214 1.08353 1.36137 1.59707 1.78334 1.91441 1.98622 1.99655 1.94508 1.83340 1.66498 1.44501 1.18032 0.87909 0.55065 0.20516 -0.14667 -0.49397 -0.82597 -1.13241 -1.40379 -1.63173 -1.80915 -1.93058 -1.99225 ... ... ..... TT..... ..TT..... ....TT..... ......TT..... E4 * 2.00000 1.94508 1.78334 1.52367 1.18032 0.77214 0.32157 -0.14667 -0.60685 -1.03371 -1.40379 -1.69679 -1.89660 -1.99225 -1.97849 -1.85607 -1.63173 -1.31777 -0.93145 -0.49397 -0.02936 0.43686 0.87909 1.27304 1.59707 1.83340 1.96905 1.99655 1.91441 1.72714 1.44501 1.08353 0.66254 0.20516 -0.26348 -0.71765 -1.13241 -1.48498 -1.75600 -1.93058 -1.99914 -1.95791 -1.80915 -1.56104 -1.22721 -0.82597 -0.37938 0.08805 0.55065 0.98300 1.36137 1.66498 1.87714 1.98622 ... ... ..... ....... TT....... ..TT....... ....TT....... E5 * 2.00000 1.91441 1.66498 1.27304 0.77214 0.20516 -0.37938 -0.93145 -1.40379 -1.75600 -1.95791 -1.99225 -1.85607 -1.56104 -1.13241 -0.60685 -0.02936 0.55065 1.08353 1.52367 1.83340 1.98622 1.96905 1.78334 1.44501 0.98300 0.43686 -0.14667 -0.71765 -1.22721 -1.63173 -1.89660 -1.99914 -1.93058 -1.69679 -1.31777 -0.82597 -0.26348 0.32157 0.87909 1.36137 1.72714 1.94508 1.99655 1.87714 1.59707 1.18032 0.66254 0.08805 -0.49397 -1.03371 -1.48498 -1.80915 -1.97849 ... ... ..... ....... ......... TT......... ..TT......... E6 * 2.00000 1.87714 1.52367 0.98300 0.32157 -0.37938 -1.03371 -1.56104 -1.89660 -1.99914 -1.85607 -1.48498 -0.93145 -0.26348 0.43686 1.08353 1.59707 1.91441 1.99655 1.83340 1.44501 0.87909 0.20516 -0.49397 -1.13241 -1.63173 -1.93058 -1.99225 -1.80915 -1.40379 -0.82597 -0.14667 0.55065 1.18032 1.66498 1.94508 1.98622 1.78334 1.36137 0.77214 0.08805 -0.60685 -1.22721 -1.69679 -1.95791 -1.97849 -1.75600 -1.31777 -0.71765 -0.02936 0.66254 1.27304 1.72714 1.96905 ... ... ..... ....... ......... ........... TT........... E7 * 2.00000 1.83340 1.36137 0.66254 -0.14667 -0.93145 -1.56104 -1.93058 -1.97849 -1.69679 -1.13241 -0.37938 0.43686 1.18032 1.72714 1.98622 1.91441 1.52367 0.87909 0.08805 -0.71765 -1.40379 -1.85607 -1.99914 -1.80915 -1.31777 -0.60685 0.20516 0.98300 1.59707 1.94508 1.96905 1.66498 1.08353 0.32157 -0.49397 -1.22721 -1.75600 -1.99225 -1.89660 -1.48498 -0.82597 -0.02936 0.77214 1.44501 1.87714 1.99655 1.78334 1.27304 0.55065 -0.26348 -1.03371 -1.63173 -1.95791 ... ... ..... ....... ......... ........... ............. E8 * 2.00000 1.78334 1.18032 0.32157 -0.60685 -1.40379 -1.89660 -1.97849 -1.63173 -0.93145 -0.02936 0.87909 1.59707 1.96905 1.91441 1.44501 0.66254 -0.26348 -1.13241 -1.75600 -1.99914 -1.80915 -1.22721 -0.37938 0.55065 1.36137 1.87714 1.98622 1.66498 0.98300 0.08805 -0.82597 -1.56104 -1.95791 -1.93058 -1.48498 -0.71765 0.20516 1.08353 1.72714 1.99655 1.83340 1.27304 0.43686 -0.49397 -1.31777 -1.85607 -1.99225 -1.69679 -1.03371 -0.14667 0.77214 1.52367 1.94508 ... ... ..... ....... ......... ........... ............. E9 * 2.00000 1.72714 0.98300 -0.02936 -1.03371 -1.75600 -1.99914 -1.69679 -0.93145 0.08805 1.08353 1.78334 1.99655 1.66498 0.87909 -0.14667 -1.13241 -1.80915 -1.99225 -1.63173 -0.82597 0.20516 1.18032 1.83340 1.98622 1.59707 0.77214 -0.26348 -1.22721 -1.85607 -1.97849 -1.56104 -0.71765 0.32157 1.27304 1.87714 1.96905 1.52367 0.66254 -0.37938 -1.31777 -1.89660 -1.95791 -1.48498 -0.60685 0.43686 1.36137 1.91441 1.94508 1.44501 0.55065 -0.49397 -1.40379 -1.93058 ... ... ..... ....... ......... ........... ............. E10 * 2.00000 1.66498 0.77214 -0.37938 -1.40379 -1.95791 -1.85607 -1.13241 -0.02936 1.08353 1.83340 1.96905 1.44501 0.43686 -0.71765 -1.63173 -1.99914 -1.69679 -0.82597 0.32157 1.36137 1.94508 1.87714 1.18032 0.08805 -1.03371 -1.80915 -1.97849 -1.48498 -0.49397 0.66254 1.59707 1.99655 1.72714 0.87909 -0.26348 -1.31777 -1.93058 -1.89660 -1.22721 -0.14667 0.98300 1.78334 1.98622 1.52367 0.55065 -0.60685 -1.56104 -1.99225 -1.75600 -0.93145 0.20516 1.27304 1.91441 ... ... ..... ....... ......... ........... ............. E11 * 2.00000 1.59707 0.55065 -0.71765 -1.69679 -1.99225 -1.48498 -0.37938 0.87909 1.78334 1.96905 1.36137 0.20516 -1.03371 -1.85607 -1.93058 -1.22721 -0.02936 1.18032 1.91441 1.87714 1.08353 -0.14667 -1.31777 -1.95791 -1.80915 -0.93145 0.32157 1.44501 1.98622 1.72714 0.77214 -0.49397 -1.56104 -1.99914 -1.63173 -0.60685 0.66254 1.66498 1.99655 1.52367 0.43686 -0.82597 -1.75600 -1.97849 -1.40379 -0.26348 0.98300 1.83340 1.94508 1.27304 0.08805 -1.13241 -1.89660 ... ... ..... ....... ......... ........... ............. E12 * 2.00000 1.52367 0.32157 -1.03371 -1.89660 -1.85607 -0.93145 0.43686 1.59707 1.99655 1.44501 0.20516 -1.13241 -1.93058 -1.80915 -0.82597 0.55065 1.66498 1.98622 1.36137 0.08805 -1.22721 -1.95791 -1.75600 -0.71765 0.66254 1.72714 1.96905 1.27304 -0.02936 -1.31777 -1.97849 -1.69679 -0.60685 0.77214 1.78334 1.94508 1.18032 -0.14667 -1.40379 -1.99225 -1.63173 -0.49397 0.87909 1.83340 1.91441 1.08353 -0.26348 -1.48498 -1.99914 -1.56104 -0.37938 0.98300 1.87714 ... ... ..... ....... ......... ........... ............. E13 * 2.00000 1.44501 0.08805 -1.31777 -1.99225 -1.56104 -0.26348 1.18032 1.96905 1.66498 0.43686 -1.03371 -1.93058 -1.75600 -0.60685 0.87909 1.87714 1.83340 0.77214 -0.71765 -1.80915 -1.89660 -0.93145 0.55065 1.72714 1.94508 1.08353 -0.37938 -1.63173 -1.97849 -1.22721 0.20516 1.52367 1.99655 1.36137 -0.02936 -1.40379 -1.99914 -1.48498 -0.14667 1.27304 1.98622 1.59707 0.32157 -1.13241 -1.95791 -1.69679 -0.49397 0.98300 1.91441 1.78334 0.66254 -0.82597 -1.85607 ... ... ..... ....... ......... ........... ............. E14 * 2.00000 1.36137 -0.14667 -1.56104 -1.97849 -1.13241 0.43686 1.72714 1.91441 0.87909 -0.71765 -1.85607 -1.80915 -0.60685 0.98300 1.94508 1.66498 0.32157 -1.22721 -1.99225 -1.48498 -0.02936 1.44501 1.99655 1.27304 -0.26348 -1.63173 -1.95791 -1.03371 0.55065 1.78334 1.87714 0.77214 -0.82597 -1.89660 -1.75600 -0.49397 1.08353 1.96905 1.59707 0.20516 -1.31777 -1.99914 -1.40379 0.08805 1.52367 1.98622 1.18032 -0.37938 -1.69679 -1.93058 -0.93145 0.66254 1.83340 ... ... ..... ....... ......... ........... ............. E15 * 2.00000 1.27304 -0.37938 -1.75600 -1.85607 -0.60685 1.08353 1.98622 1.44501 -0.14667 -1.63173 -1.93058 -0.82597 0.87909 1.94508 1.59707 0.08805 -1.48498 -1.97849 -1.03371 0.66254 1.87714 1.72714 0.32157 -1.31777 -1.99914 -1.22721 0.43686 1.78334 1.83340 0.55065 -1.13241 -1.99225 -1.40379 0.20516 1.66498 1.91441 0.77214 -0.93145 -1.95791 -1.56104 -0.02936 1.52367 1.96905 0.98300 -0.71765 -1.89660 -1.69679 -0.26348 1.36137 1.99655 1.18032 -0.49397 -1.80915 ... ... ..... ....... ......... ........... ............. E16 * 2.00000 1.18032 -0.60685 -1.89660 -1.63173 -0.02936 1.59707 1.91441 0.66254 -1.13241 -1.99914 -1.22721 0.55065 1.87714 1.66498 0.08805 -1.56104 -1.93058 -0.71765 1.08353 1.99655 1.27304 -0.49397 -1.85607 -1.69679 -0.14667 1.52367 1.94508 0.77214 -1.03371 -1.99225 -1.31777 0.43686 1.83340 1.72714 0.20516 -1.48498 -1.95791 -0.82597 0.98300 1.98622 1.36137 -0.37938 -1.80915 -1.75600 -0.26348 1.44501 1.96905 0.87909 -0.93145 -1.97849 -1.40379 0.32157 1.78334 ... ... ..... ....... ......... ........... ............. E17 * 2.00000 1.08353 -0.82597 -1.97849 -1.31777 0.55065 1.91441 1.52367 -0.26348 -1.80915 -1.69679 -0.02936 1.66498 1.83340 0.32157 -1.48498 -1.93058 -0.60685 1.27304 1.98622 0.87909 -1.03371 -1.99914 -1.13241 0.77214 1.96905 1.36137 -0.49397 -1.89660 -1.56104 0.20516 1.78334 1.72714 0.08805 -1.63173 -1.85607 -0.37938 1.44501 1.94508 0.66254 -1.22721 -1.99225 -0.93145 0.98300 1.99655 1.18032 -0.71765 -1.95791 -1.40379 0.43686 1.87714 1.59707 -0.14667 -1.75600 ... ... ..... ....... ......... ........... ............. E18 * 2.00000 0.98300 -1.03371 -1.99914 -0.93145 1.08353 1.99655 0.87909 -1.13241 -1.99225 -0.82597 1.18032 1.98622 0.77214 -1.22721 -1.97849 -0.71765 1.27304 1.96905 0.66254 -1.31777 -1.95791 -0.60685 1.36137 1.94508 0.55065 -1.40379 -1.93058 -0.49397 1.44501 1.91441 0.43686 -1.48498 -1.89660 -0.37938 1.52367 1.87714 0.32157 -1.56104 -1.85607 -0.26348 1.59707 1.83340 0.20516 -1.63173 -1.80915 -0.14667 1.66498 1.78334 0.08805 -1.69679 -1.75600 -0.02936 1.72714 ... ... ..... ....... ......... ........... ............. E19 * 2.00000 0.87909 -1.22721 -1.95791 -0.49397 1.52367 1.83340 0.08805 -1.75600 -1.63173 0.32157 1.91441 1.36137 -0.71765 -1.99225 -1.03371 1.08353 1.98622 0.66254 -1.40379 -1.89660 -0.26348 1.66498 1.72714 -0.14667 -1.85607 -1.48498 0.55065 1.96905 1.18032 -0.93145 -1.99914 -0.82597 1.27304 1.94508 0.43686 -1.56104 -1.80915 -0.02936 1.78334 1.59707 -0.37938 -1.93058 -1.31777 0.77214 1.99655 0.98300 -1.13241 -1.97849 -0.60685 1.44501 1.87714 0.20516 -1.69679 ... ... ..... ....... ......... ........... ............. E20 * 2.00000 0.77214 -1.40379 -1.85607 -0.02936 1.83340 1.44501 -0.71765 -1.99914 -0.82597 1.36137 1.87714 0.08805 -1.80915 -1.48498 0.66254 1.99655 0.87909 -1.31777 -1.89660 -0.14667 1.78334 1.52367 -0.60685 -1.99225 -0.93145 1.27304 1.91441 0.20516 -1.75600 -1.56104 0.55065 1.98622 0.98300 -1.22721 -1.93058 -0.26348 1.72714 1.59707 -0.49397 -1.97849 -1.03371 1.18032 1.94508 0.32157 -1.69679 -1.63173 0.43686 1.96905 1.08353 -1.13241 -1.95791 -0.37938 1.66498 ... ... ..... ....... ......... ........... ............. E21 * 2.00000 0.66254 -1.56104 -1.69679 0.43686 1.98622 0.87909 -1.40379 -1.80915 0.20516 1.94508 1.08353 -1.22721 -1.89660 -0.02936 1.87714 1.27304 -1.03371 -1.95791 -0.26348 1.78334 1.44501 -0.82597 -1.99225 -0.49397 1.66498 1.59707 -0.60685 -1.99914 -0.71765 1.52367 1.72714 -0.37938 -1.97849 -0.93145 1.36137 1.83340 -0.14667 -1.93058 -1.13241 1.18032 1.91441 0.08805 -1.85607 -1.31777 0.98300 1.96905 0.32157 -1.75600 -1.48498 0.77214 1.99655 0.55065 -1.63173 ... ... ..... ....... ......... ........... ............. E22 * 2.00000 0.55065 -1.69679 -1.48498 0.87909 1.96905 0.20516 -1.85607 -1.22721 1.18032 1.87714 -0.14667 -1.95791 -0.93145 1.44501 1.72714 -0.49397 -1.99914 -0.60685 1.66498 1.52367 -0.82597 -1.97849 -0.26348 1.83340 1.27304 -1.13241 -1.89660 0.08805 1.94508 0.98300 -1.40379 -1.75600 0.43686 1.99655 0.66254 -1.63173 -1.56104 0.77214 1.98622 0.32157 -1.80915 -1.31777 1.08353 1.91441 -0.02936 -1.93058 -1.03371 1.36137 1.78334 -0.37938 -1.99225 -0.71765 1.59707 ... ... ..... ....... ......... ........... ............. E23 * 2.00000 0.43686 -1.80915 -1.22721 1.27304 1.78334 -0.49397 -1.99914 -0.37938 1.83340 1.18032 -1.31777 -1.75600 0.55065 1.99655 0.32157 -1.85607 -1.13241 1.36137 1.72714 -0.60685 -1.99225 -0.26348 1.87714 1.08353 -1.40379 -1.69679 0.66254 1.98622 0.20516 -1.89660 -1.03371 1.44501 1.66498 -0.71765 -1.97849 -0.14667 1.91441 0.98300 -1.48498 -1.63173 0.77214 1.96905 0.08805 -1.93058 -0.93145 1.52367 1.59707 -0.82597 -1.95791 -0.02936 1.94508 0.87909 -1.56104 ... ... ..... ....... ......... ........... ............. E24 * 2.00000 0.32157 -1.89660 -0.93145 1.59707 1.44501 -1.13241 -1.80915 0.55065 1.98622 0.08805 -1.95791 -0.71765 1.72714 1.27304 -1.31777 -1.69679 0.77214 1.94508 -0.14667 -1.99225 -0.49397 1.83340 1.08353 -1.48498 -1.56104 0.98300 1.87714 -0.37938 -1.99914 -0.26348 1.91441 0.87909 -1.63173 -1.40379 1.18032 1.78334 -0.60685 -1.97849 -0.02936 1.96905 0.66254 -1.75600 -1.22721 1.36137 1.66498 -0.82597 -1.93058 0.20516 1.99655 0.43686 -1.85607 -1.03371 1.52367 ... ... ..... ....... ......... ........... ............. E25 * 2.00000 0.20516 -1.95791 -0.60685 1.83340 0.98300 -1.63173 -1.31777 1.36137 1.59707 -1.03371 -1.80915 0.66254 1.94508 -0.26348 -1.99914 -0.14667 1.96905 0.55065 -1.85607 -0.93145 1.66498 1.27304 -1.40379 -1.56104 1.08353 1.78334 -0.71765 -1.93058 0.32157 1.99655 0.08805 -1.97849 -0.49397 1.87714 0.87909 -1.69679 -1.22721 1.44501 1.52367 -1.13241 -1.75600 0.77214 1.91441 -0.37938 -1.99225 -0.02936 1.98622 0.43686 -1.89660 -0.82597 1.72714 1.18032 -1.48498 ... ... ..... ....... ......... ........... ............. E26 * 2.00000 0.08805 -1.99225 -0.26348 1.96905 0.43686 -1.93058 -0.60685 1.87714 0.77214 -1.80915 -0.93145 1.72714 1.08353 -1.63173 -1.22721 1.52367 1.36137 -1.40379 -1.48498 1.27304 1.59707 -1.13241 -1.69679 0.98300 1.78334 -0.82597 -1.85607 0.66254 1.91441 -0.49397 -1.95791 0.32157 1.98622 -0.14667 -1.99914 -0.02936 1.99655 0.20516 -1.97849 -0.37938 1.94508 0.55065 -1.89660 -0.71765 1.83340 0.87909 -1.75600 -1.03371 1.66498 1.18032 -1.56104 -1.31777 1.44501 ... ... ..... ....... ......... ........... ............. E27 * 2.00000 -0.02936 -1.99914 0.08805 1.99655 -0.14667 -1.99225 0.20516 1.98622 -0.26348 -1.97849 0.32157 1.96905 -0.37938 -1.95791 0.43686 1.94508 -0.49397 -1.93058 0.55065 1.91441 -0.60685 -1.89660 0.66254 1.87714 -0.71765 -1.85607 0.77214 1.83340 -0.82597 -1.80915 0.87909 1.78334 -0.93145 -1.75600 0.98300 1.72714 -1.03371 -1.69679 1.08353 1.66498 -1.13241 -1.63173 1.18032 1.59707 -1.22721 -1.56104 1.27304 1.52367 -1.31777 -1.48498 1.36137 1.44501 -1.40379 ... ... ..... ....... ......... ........... ............. E28 * 2.00000 -0.14667 -1.97849 0.43686 1.91441 -0.71765 -1.80915 0.98300 1.66498 -1.22721 -1.48498 1.44501 1.27304 -1.63173 -1.03371 1.78334 0.77214 -1.89660 -0.49397 1.96905 0.20516 -1.99914 0.08805 1.98622 -0.37938 -1.93058 0.66254 1.83340 -0.93145 -1.69679 1.18032 1.52367 -1.40379 -1.31777 1.59707 1.08353 -1.75600 -0.82597 1.87714 0.55065 -1.95791 -0.26348 1.99655 -0.02936 -1.99225 0.32157 1.94508 -0.60685 -1.85607 0.87909 1.72714 -1.13241 -1.56104 1.36137 ... ... ..... ....... ......... ........... ............. E29 * 2.00000 -0.26348 -1.93058 0.77214 1.72714 -1.22721 -1.40379 1.59707 0.98300 -1.85607 -0.49397 1.98622 -0.02936 -1.97849 0.55065 1.83340 -1.03371 -1.56104 1.44501 1.18032 -1.75600 -0.71765 1.94508 0.20516 -1.99914 0.32157 1.91441 -0.82597 -1.69679 1.27304 1.36137 -1.63173 -0.93145 1.87714 0.43686 -1.99225 0.08805 1.96905 -0.60685 -1.80915 1.08353 1.52367 -1.48498 -1.13241 1.78334 0.66254 -1.95791 -0.14667 1.99655 -0.37938 -1.89660 0.87909 1.66498 -1.31777 ... ... ..... ....... ......... ........... ............. E30 * 2.00000 -0.37938 -1.85607 1.08353 1.44501 -1.63173 -0.82597 1.94508 0.08805 -1.97849 0.66254 1.72714 -1.31777 -1.22721 1.78334 0.55065 -1.99225 0.20516 1.91441 -0.93145 -1.56104 1.52367 0.98300 -1.89660 -0.26348 1.99655 -0.49397 -1.80915 1.18032 1.36137 -1.69679 -0.71765 1.96905 -0.02936 -1.95791 0.77214 1.66498 -1.40379 -1.13241 1.83340 0.43686 -1.99914 0.32157 1.87714 -1.03371 -1.48498 1.59707 0.87909 -1.93058 -0.14667 1.98622 -0.60685 -1.75600 1.27304 ... ... ..... ....... ......... ........... ............. E31 * 2.00000 -0.49397 -1.75600 1.36137 1.08353 -1.89660 -0.14667 1.96905 -0.82597 -1.56104 1.59707 0.77214 -1.97849 0.20516 1.87714 -1.13241 -1.31777 1.78334 0.43686 -1.99914 0.55065 1.72714 -1.40379 -1.03371 1.91441 0.08805 -1.95791 0.87909 1.52367 -1.63173 -0.71765 1.98622 -0.26348 -1.85607 1.18032 1.27304 -1.80915 -0.37938 1.99655 -0.60685 -1.69679 1.44501 0.98300 -1.93058 -0.02936 1.94508 -0.93145 -1.48498 1.66498 0.66254 -1.99225 0.32157 1.83340 -1.22721 ... ... ..... ....... ......... ........... ............. E32 * 2.00000 -0.60685 -1.63173 1.59707 0.66254 -1.99914 0.55065 1.66498 -1.56104 -0.71765 1.99655 -0.49397 -1.69679 1.52367 0.77214 -1.99225 0.43686 1.72714 -1.48498 -0.82597 1.98622 -0.37938 -1.75600 1.44501 0.87909 -1.97849 0.32157 1.78334 -1.40379 -0.93145 1.96905 -0.26348 -1.80915 1.36137 0.98300 -1.95791 0.20516 1.83340 -1.31777 -1.03371 1.94508 -0.14667 -1.85607 1.27304 1.08353 -1.93058 0.08805 1.87714 -1.22721 -1.13241 1.91441 -0.02936 -1.89660 1.18032 ... ... ..... ....... ......... ........... ............. E33 * 2.00000 -0.71765 -1.48498 1.78334 0.20516 -1.93058 1.18032 1.08353 -1.95791 0.32157 1.72714 -1.56104 -0.60685 1.99655 -0.82597 -1.40379 1.83340 0.08805 -1.89660 1.27304 0.98300 -1.97849 0.43686 1.66498 -1.63173 -0.49397 1.98622 -0.93145 -1.31777 1.87714 -0.02936 -1.85607 1.36137 0.87909 -1.99225 0.55065 1.59707 -1.69679 -0.37938 1.96905 -1.03371 -1.22721 1.91441 -0.14667 -1.80915 1.44501 0.77214 -1.99914 0.66254 1.52367 -1.75600 -0.26348 1.94508 -1.13241 ... ... ..... ....... ......... ........... ............. E34 * 2.00000 -0.82597 -1.31777 1.91441 -0.26348 -1.69679 1.66498 0.32157 -1.93058 1.27304 0.87909 -1.99914 0.77214 1.36137 -1.89660 0.20516 1.72714 -1.63173 -0.37938 1.94508 -1.22721 -0.93145 1.99655 -0.71765 -1.40379 1.87714 -0.14667 -1.75600 1.59707 0.43686 -1.95791 1.18032 0.98300 -1.99225 0.66254 1.44501 -1.85607 0.08805 1.78334 -1.56104 -0.49397 1.96905 -1.13241 -1.03371 1.98622 -0.60685 -1.48498 1.83340 -0.02936 -1.80915 1.52367 0.55065 -1.97849 1.08353 ... ... ..... ....... ......... ........... ............. E35 * 2.00000 -0.93145 -1.13241 1.98622 -0.71765 -1.31777 1.94508 -0.49397 -1.48498 1.87714 -0.26348 -1.63173 1.78334 -0.02936 -1.75600 1.66498 0.20516 -1.85607 1.52367 0.43686 -1.93058 1.36137 0.66254 -1.97849 1.18032 0.87909 -1.99914 0.98300 1.08353 -1.99225 0.77214 1.27304 -1.95791 0.55065 1.44501 -1.89660 0.32157 1.59707 -1.80915 0.08805 1.72714 -1.69679 -0.14667 1.83340 -1.56104 -0.37938 1.91441 -1.40379 -0.60685 1.96905 -1.22721 -0.82597 1.99655 -1.03371 ... ... ..... ....... ......... ........... ............. E36 * 2.00000 -1.03371 -0.93145 1.99655 -1.13241 -0.82597 1.98622 -1.22721 -0.71765 1.96905 -1.31777 -0.60685 1.94508 -1.40379 -0.49397 1.91441 -1.48498 -0.37938 1.87714 -1.56104 -0.26348 1.83340 -1.63173 -0.14667 1.78334 -1.69679 -0.02936 1.72714 -1.75600 0.08805 1.66498 -1.80915 0.20516 1.59707 -1.85607 0.32157 1.52367 -1.89660 0.43686 1.44501 -1.93058 0.55065 1.36137 -1.95791 0.66254 1.27304 -1.97849 0.77214 1.18032 -1.99225 0.87909 1.08353 -1.99914 0.98300 ... ... ..... ....... ......... ........... ............. E37 * 2.00000 -1.13241 -0.71765 1.94508 -1.48498 -0.26348 1.78334 -1.75600 0.20516 1.52367 -1.93058 0.66254 1.18032 -1.99914 1.08353 0.77214 -1.95791 1.44501 0.32157 -1.80915 1.72714 -0.14667 -1.56104 1.91441 -0.60685 -1.22721 1.99655 -1.03371 -0.82597 1.96905 -1.40379 -0.37938 1.83340 -1.69679 0.08805 1.59707 -1.89660 0.55065 1.27304 -1.99225 0.98300 0.87909 -1.97849 1.36137 0.43686 -1.85607 1.66498 -0.02936 -1.63173 1.87714 -0.49397 -1.31777 1.98622 -0.93145 ... ... ..... ....... ......... ........... ............. E38 * 2.00000 -1.22721 -0.49397 1.83340 -1.75600 0.32157 1.36137 -1.99225 1.08353 0.66254 -1.89660 1.66498 -0.14667 -1.48498 1.96905 -0.93145 -0.82597 1.94508 -1.56104 -0.02936 1.59707 -1.93058 0.77214 0.98300 -1.97849 1.44501 0.20516 -1.69679 1.87714 -0.60685 -1.13241 1.99655 -1.31777 -0.37938 1.78334 -1.80915 0.43686 1.27304 -1.99914 1.18032 0.55065 -1.85607 1.72714 -0.26348 -1.40379 1.98622 -1.03371 -0.71765 1.91441 -1.63173 0.08805 1.52367 -1.95791 0.87909 ... ... ..... ....... ......... ........... ............. E39 * 2.00000 -1.31777 -0.26348 1.66498 -1.93058 0.87909 0.77214 -1.89660 1.72714 -0.37938 -1.22721 1.99655 -1.40379 -0.14667 1.59707 -1.95791 0.98300 0.66254 -1.85607 1.78334 -0.49397 -1.13241 1.98622 -1.48498 -0.02936 1.52367 -1.97849 1.08353 0.55065 -1.80915 1.83340 -0.60685 -1.03371 1.96905 -1.56104 0.08805 1.44501 -1.99225 1.18032 0.43686 -1.75600 1.87714 -0.71765 -0.93145 1.94508 -1.63173 0.20516 1.36137 -1.99914 1.27304 0.32157 -1.69679 1.91441 -0.82597 ... ... ..... ....... ......... ........... ............. E40 * 2.00000 -1.40379 -0.02936 1.44501 -1.99914 1.36137 0.08805 -1.48498 1.99655 -1.31777 -0.14667 1.52367 -1.99225 1.27304 0.20516 -1.56104 1.98622 -1.22721 -0.26348 1.59707 -1.97849 1.18032 0.32157 -1.63173 1.96905 -1.13241 -0.37938 1.66498 -1.95791 1.08353 0.43686 -1.69679 1.94508 -1.03371 -0.49397 1.72714 -1.93058 0.98300 0.55065 -1.75600 1.91441 -0.93145 -0.60685 1.78334 -1.89660 0.87909 0.66254 -1.80915 1.87714 -0.82597 -0.71765 1.83340 -1.85607 0.77214 ... ... ..... ....... ......... ........... ............. E41 * 2.00000 -1.48498 0.20516 1.18032 -1.95791 1.72714 -0.60685 -0.82597 1.83340 -1.89660 0.98300 0.43686 -1.63173 1.98622 -1.31777 -0.02936 1.36137 -1.99225 1.59707 -0.37938 -1.03371 1.91441 -1.80915 0.77214 0.66254 -1.75600 1.94508 -1.13241 -0.26348 1.52367 -1.99914 1.44501 -0.14667 -1.22721 1.96905 -1.69679 0.55065 0.87909 -1.85607 1.87714 -0.93145 -0.49397 1.66498 -1.97849 1.27304 0.08805 -1.40379 1.99655 -1.56104 0.32157 1.08353 -1.93058 1.78334 -0.71765 ... ... ..... ....... ......... ........... ............. 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E43 * 2.00000 -1.63173 0.66254 0.55065 -1.56104 1.99655 -1.69679 0.77214 0.43686 -1.48498 1.98622 -1.75600 0.87909 0.32157 -1.40379 1.96905 -1.80915 0.98300 0.20516 -1.31777 1.94508 -1.85607 1.08353 0.08805 -1.22721 1.91441 -1.89660 1.18032 -0.02936 -1.13241 1.87714 -1.93058 1.27304 -0.14667 -1.03371 1.83340 -1.95791 1.36137 -0.26348 -0.93145 1.78334 -1.97849 1.44501 -0.37938 -0.82597 1.72714 -1.99225 1.52367 -0.49397 -0.71765 1.66498 -1.99914 1.59707 -0.60685 ... ... ..... ....... ......... ........... ............. E44 * 2.00000 -1.69679 0.87909 0.20516 -1.22721 1.87714 -1.95791 1.44501 -0.49397 -0.60685 1.52367 -1.97849 1.83340 -1.13241 0.08805 0.98300 -1.75600 1.99655 -1.63173 0.77214 0.32157 -1.31777 1.91441 -1.93058 1.36137 -0.37938 -0.71765 1.59707 -1.99225 1.78334 -1.03371 -0.02936 1.08353 -1.80915 1.98622 -1.56104 0.66254 0.43686 -1.40379 1.94508 -1.89660 1.27304 -0.26348 -0.82597 1.66498 -1.99914 1.72714 -0.93145 -0.14667 1.18032 -1.85607 1.96905 -1.48498 0.55065 ... ... ..... ....... ......... ........... ............. E45 * 2.00000 -1.75600 1.08353 -0.14667 -0.82597 1.59707 -1.97849 1.87714 -1.31777 0.43686 0.55065 -1.40379 1.91441 -1.95791 1.52367 -0.71765 -0.26348 1.18032 -1.80915 1.99655 -1.69679 0.98300 -0.02936 -0.93145 1.66498 -1.99225 1.83340 -1.22721 0.32157 0.66254 -1.48498 1.94508 -1.93058 1.44501 -0.60685 -0.37938 1.27304 -1.85607 1.98622 -1.63173 0.87909 0.08805 -1.03371 1.72714 -1.99914 1.78334 -1.13241 0.20516 0.77214 -1.56104 1.96905 -1.89660 1.36137 -0.49397 ... ... ..... ....... ......... ........... ............. E46 * 2.00000 -1.80915 1.27304 -0.49397 -0.37938 1.18032 -1.75600 1.99655 -1.85607 1.36137 -0.60685 -0.26348 1.08353 -1.69679 1.98622 -1.89660 1.44501 -0.71765 -0.14667 0.98300 -1.63173 1.96905 -1.93058 1.52367 -0.82597 -0.02936 0.87909 -1.56104 1.94508 -1.95791 1.59707 -0.93145 0.08805 0.77214 -1.48498 1.91441 -1.97849 1.66498 -1.03371 0.20516 0.66254 -1.40379 1.87714 -1.99225 1.72714 -1.13241 0.32157 0.55065 -1.31777 1.83340 -1.99914 1.78334 -1.22721 0.43686 ... ... ..... ....... ......... ........... ............. E47 * 2.00000 -1.85607 1.44501 -0.82597 0.08805 0.66254 -1.31777 1.78334 -1.99225 1.91441 -1.56104 0.98300 -0.26348 -0.49397 1.18032 -1.69679 1.96905 -1.95791 1.66498 -1.13241 0.43686 0.32157 -1.03371 1.59707 -1.93058 1.98622 -1.75600 1.27304 -0.60685 -0.14667 0.87909 -1.48498 1.87714 -1.99914 1.83340 -1.40379 0.77214 -0.02936 -0.71765 1.36137 -1.80915 1.99655 -1.89660 1.52367 -0.93145 0.20516 0.55065 -1.22721 1.72714 -1.97849 1.94508 -1.63173 1.08353 -0.37938 ... ... ..... ....... ......... ........... ............. E48 * 2.00000 -1.89660 1.59707 -1.13241 0.55065 0.08805 -0.71765 1.27304 -1.69679 1.94508 -1.99225 1.83340 -1.48498 0.98300 -0.37938 -0.26348 0.87909 -1.40379 1.78334 -1.97849 1.96905 -1.75600 1.36137 -0.82597 0.20516 0.43686 -1.03371 1.52367 -1.85607 1.99655 -1.93058 1.66498 -1.22721 0.66254 -0.02936 -0.60685 1.18032 -1.63173 1.91441 -1.99914 1.87714 -1.56104 1.08353 -0.49397 -0.14667 0.77214 -1.31777 1.72714 -1.95791 1.98622 -1.80915 1.44501 -0.93145 0.32157 ... ... ..... ....... ......... ........... ............. E49 * 2.00000 -1.93058 1.72714 -1.40379 0.98300 -0.49397 -0.02936 0.55065 -1.03371 1.44501 -1.75600 1.94508 -1.99914 1.91441 -1.69679 1.36137 -0.93145 0.43686 0.08805 -0.60685 1.08353 -1.48498 1.78334 -1.95791 1.99655 -1.89660 1.66498 -1.31777 0.87909 -0.37938 -0.14667 0.66254 -1.13241 1.52367 -1.80915 1.96905 -1.99225 1.87714 -1.63173 1.27304 -0.82597 0.32157 0.20516 -0.71765 1.18032 -1.56104 1.83340 -1.97849 1.98622 -1.85607 1.59707 -1.22721 0.77214 -0.26348 ... ... ..... ....... ......... ........... ............. E50 * 2.00000 -1.95791 1.83340 -1.63173 1.36137 -1.03371 0.66254 -0.26348 -0.14667 0.55065 -0.93145 1.27304 -1.56104 1.78334 -1.93058 1.99655 -1.97849 1.87714 -1.69679 1.44501 -1.13241 0.77214 -0.37938 -0.02936 0.43686 -0.82597 1.18032 -1.48498 1.72714 -1.89660 1.98622 -1.99225 1.91441 -1.75600 1.52367 -1.22721 0.87909 -0.49397 0.08805 0.32157 -0.71765 1.08353 -1.40379 1.66498 -1.85607 1.96905 -1.99914 1.94508 -1.80915 1.59707 -1.31777 0.98300 -0.60685 0.20516 ... ... ..... ....... ......... ........... ............. E51 * 2.00000 -1.97849 1.91441 -1.80915 1.66498 -1.48498 1.27304 -1.03371 0.77214 -0.49397 0.20516 0.08805 -0.37938 0.66254 -0.93145 1.18032 -1.40379 1.59707 -1.75600 1.87714 -1.95791 1.99655 -1.99225 1.94508 -1.85607 1.72714 -1.56104 1.36137 -1.13241 0.87909 -0.60685 0.32157 -0.02936 -0.26348 0.55065 -0.82597 1.08353 -1.31777 1.52367 -1.69679 1.83340 -1.93058 1.98622 -1.99914 1.96905 -1.89660 1.78334 -1.63173 1.44501 -1.22721 0.98300 -0.71765 0.43686 -0.14667 ... ... ..... ....... ......... ........... ............. E52 * 2.00000 -1.99225 1.96905 -1.93058 1.87714 -1.80915 1.72714 -1.63173 1.52367 -1.40379 1.27304 -1.13241 0.98300 -0.82597 0.66254 -0.49397 0.32157 -0.14667 -0.02936 0.20516 -0.37938 0.55065 -0.71765 0.87909 -1.03371 1.18032 -1.31777 1.44501 -1.56104 1.66498 -1.75600 1.83340 -1.89660 1.94508 -1.97849 1.99655 -1.99914 1.98622 -1.95791 1.91441 -1.85607 1.78334 -1.69679 1.59707 -1.48498 1.36137 -1.22721 1.08353 -0.93145 0.77214 -0.60685 0.43686 -0.26348 0.08805 ... ... ..... ....... ......... ........... ............. E53 * 2.00000 -1.99914 1.99655 -1.99225 1.98622 -1.97849 1.96905 -1.95791 1.94508 -1.93058 1.91441 -1.89660 1.87714 -1.85607 1.83340 -1.80915 1.78334 -1.75600 1.72714 -1.69679 1.66498 -1.63173 1.59707 -1.56104 1.52367 -1.48498 1.44501 -1.40379 1.36137 -1.31777 1.27304 -1.22721 1.18032 -1.13241 1.08353 -1.03371 0.98300 -0.93145 0.87909 -0.82597 0.77214 -0.71765 0.66254 -0.60685 0.55065 -0.49397 0.43686 -0.37938 0.32157 -0.26348 0.20516 -0.14667 0.08805 -0.02936 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.996552792839 = 2*cos(2*π/107) 1.986223054591 = 2*cos(4*π/107) 1.969046394006 = 2*cos(6*π/107) 1.945082022590 = 2*cos(8*π/107) 1.914412550496 = 2*cos(10*π/107) 1.877143701748 = 2*cos(12*π/107) 1.833403949788 = 2*cos(14*π/107) 1.783344074602 = 2*cos(16*π/107) 1.727136642952 = 2*cos(18*π/107) 1.664975413496 = 2*cos(20*π/107) 1.597074668872 = 2*cos(22*π/107) 1.523668477012 = 2*cos(24*π/107) 1.445009884266 = 2*cos(26*π/107) 1.361370043098 = 2*cos(28*π/107) 1.273037277369 = 2*cos(30*π/107) 1.180316088420 = 2*cos(32*π/107) 1.083526105398 = 2*cos(34*π/107) 0.983000983426 = 2*cos(36*π/107) 0.879087253425 = 2*cos(38*π/107) 0.772143127547 = 2*cos(40*π/107) 0.662537264351 = 2*cos(42*π/107) 0.550647497953 = 2*cos(44*π/107) 0.436859535555 = 2*cos(46*π/107) 0.321565627839 = 2*cos(48*π/107) 0.205163216787 = 2*cos(50*π/107) 0.088053565625 = 2*cos(52*π/107) -0.029359624419 = 2*cos(54*π/107) -0.146671605755 = 2*cos(56*π/107) -0.263477979682 = 2*cos(58*π/107) -0.379376090430 = 2*cos(60*π/107) -0.493966413202 = 2*cos(62*π/107) -0.606853931417 = 2*cos(64*π/107) -0.717649498414 = 2*cos(66*π/107) -0.825971178921 = 2*cos(68*π/107) -0.931445565664 = 2*cos(70*π/107) -1.033709066583 = 2*cos(72*π/107) -1.132409158205 = 2*cos(74*π/107) -1.227205600866 = 2*cos(76*π/107) -1.317771611592 = 2*cos(78*π/107) -1.403794990581 = 2*cos(80*π/107) -1.484979197426 = 2*cos(82*π/107) -1.561044373346 = 2*cos(84*π/107) -1.631728305923 = 2*cos(86*π/107) -1.696787332999 = 2*cos(88*π/107) -1.755997182628 = 2*cos(90*π/107) -1.809153746194 = 2*cos(92*π/107) -1.856073782010 = 2*cos(94*π/107) -1.896595546993 = 2*cos(96*π/107) -1.930579354223 = 2*cos(98*π/107) -1.957908054478 = 2*cos(100*π/107) -1.978487440065 = 2*cos(102*π/107) -1.992246569581 = 2*cos(104*π/107) -1.999138012454 = 2*cos(106*π/107) Symmetry of Rotations and Cartesian products A R+p+d+f+g+h+i+j+k+l+m Rz, z, z2, z3, z4, z5, z6 E1 R+p+d+f+g+h+i+j+k+l+m {Rx, Ry}, {x, y}, {xz, yz}, {xz2, yz2}, {xz3, yz3}, {xz4, yz4}, {xz5, yz5} E2 d+f+g+h+i+j+k+l+m {x2−y2, xy}, {z(x2−y2), xyz}, {z2(x2−y2), xyz2}, {z3(x2−y2), xyz3}, {z4(x2−y2), xyz4} E3 f+g+h+i+j+k+l+m {x(x2−3y2), y(3x2−y2)}, {xz(x2−3y2), yz(3x2−y2)}, {xz2(x2−3y2), yz2(3x2−y2)}, {xz3(x2−3y2), yz3(3x2−y2)} E4 g+h+i+j+k+l+m {(x2−y2)2−4x2y2, xy(x2−y2)}, {z((x2−y2)2−4x2y2), xyz(x2−y2)}, {z2((x2−y2)2−4x2y2), xyz2(x2−y2)} E5 h+i+j+k+l+m {x(x2−(5+2√5)y2)(x2−(5−2√5)y2), y((5+2√5)x2−y2)((5−2√5)x2−y2)}, {xz(x2−(5+2√5)y2)(x2−(5−2√5)y2), yz((5+2√5)x2−y2)((5−2√5)x2−y2)} E6 i+j+k+l+m {x2(x2−3y2)2−y2(3x2−y2)2, xy(x2−3y2)(3x2−y2)} E7 j+k+l+m E8 k+l+m E9 l+m E10 m Notes: α The order of the C107 point group is 107, and the order of the principal axis (C107) is 107. The group has 54 irreducible representations. β The C107 point group is generated by one single symmetry element, C107. Therefore, it is a cyclic group. γ The lowest nonvanishing multipole moment in C107 is 2 (dipole moment). δ This is an Abelian point group (the commutative law holds between all symmetry operations). The C107 group is Abelian because it contains only one symmetry element, all the powers of which necessarily commute (sufficient condition). In Abelian groups, all symmetry operations form a class of their own, and all irreducible representations are one-dimensional. ε Because the group is Abelian and the maximum order of rotation is >2, some irreducible representations have complex characters. These 106 cases have been combined into 53 two-dimensional representations that are no longer irreducible but have real-valued characters. Accordingly, 53 pairs of left and right rotations have been combined into one two-membered pseudo-class each. ζ The 53 reducible “E” representations almost behave like true irreducible representations. Their norm, however, is twice the group order. Therefore, they have been marked with an asterisk in the table. This is essential when trying to decompose a reducible representation into “irreducible” ones using the familiar projection formula. η The point group is chiral, as it does not contain any mirroring operation. 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 just less than half the order of the principal axis. For this group, however, none of the irrational characters can be expressed by a closed algebraic form using real numbers only.
| C105 | ||
| C106 | ||
| C107 | C107v C107h D107 D107h D107d | |
| C108 | ||
| C109 |
This Character Table for the C107 point group was created by Gernot Katzer.
For other groups and some explanations, see the Main Page.