C101 E 2 C101 2 C101^2 2 C101^3 2 C101^4 2 C101^5 2 C101^6 2 C101^7 2 C101^8 2 C101^9 2 C101^10 2 C101^11 2 C101^12 2 C101^13 2 C101^14 2 C101^15 2 C101^16 2 C101^17 2 C101^18 2 C101^19 2 C101^20 2 C101^21 2 C101^22 2 C101^23 2 C101^24 2 C101^25 2 C101^26 2 C101^27 2 C101^28 2 C101^29 2 C101^30 2 C101^31 2 C101^32 2 C101^33 2 C101^34 2 C101^35 2 C101^36 2 C101^37 2 C101^38 2 C101^39 2 C101^40 2 C101^41 2 C101^42 2 C101^43 2 C101^44 2 C101^45 2 C101^46 2 C101^47 2 C101^48 2 C101^49 2 C101^50 <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 ..T ..T ....T ......T ........T ..........T ............T E1 * 2.00000 1.99613 1.98454 1.96527 1.93840 1.90403 1.86229 1.81335 1.75739 1.69463 1.62532 1.54971 1.46812 1.38084 1.28822 1.19062 1.08841 0.98199 0.87177 0.75818 0.64165 0.52264 0.40161 0.27903 0.15537 0.03110 -0.09328 -0.21730 -0.34049 -0.46235 -0.58243 -0.70025 -0.81537 -0.92733 -1.03570 -1.14006 -1.24002 -1.33518 -1.42517 -1.50965 -1.58828 -1.66078 -1.72684 -1.78623 -1.83871 -1.88407 -1.92214 -1.95278 -1.97586 -1.99130 -1.99903 TT. TT. ..TT. ....TT. ......TT. ........TT. ..........TT. E2 * 2.00000 1.98454 1.93840 1.86229 1.75739 1.62532 1.46812 1.28822 1.08841 0.87177 0.64165 0.40161 0.15537 -0.09328 -0.34049 -0.58243 -0.81537 -1.03570 -1.24002 -1.42517 -1.58828 -1.72684 -1.83871 -1.92214 -1.97586 -1.99903 -1.99130 -1.95278 -1.88407 -1.78623 -1.66078 -1.50965 -1.33518 -1.14006 -0.92733 -0.70025 -0.46235 -0.21730 0.03110 0.27903 0.52264 0.75818 0.98199 1.19062 1.38084 1.54971 1.69463 1.81335 1.90403 1.96527 1.99613 ... ... TT... ..TT... ....TT... ......TT... ........TT... E3 * 2.00000 1.96527 1.86229 1.69463 1.46812 1.19062 0.87177 0.52264 0.15537 -0.21730 -0.58243 -0.92733 -1.24002 -1.50965 -1.72684 -1.88407 -1.97586 -1.99903 -1.95278 -1.83871 -1.66078 -1.42517 -1.14006 -0.81537 -0.46235 -0.09328 0.27903 0.64165 0.98199 1.28822 1.54971 1.75739 1.90403 1.98454 1.99613 1.93840 1.81335 1.62532 1.38084 1.08841 0.75818 0.40161 0.03110 -0.34049 -0.70025 -1.03570 -1.33518 -1.58828 -1.78623 -1.92214 -1.99130 ... ... ..... TT..... ..TT..... ....TT..... ......TT..... E4 * 2.00000 1.93840 1.75739 1.46812 1.08841 0.64165 0.15537 -0.34049 -0.81537 -1.24002 -1.58828 -1.83871 -1.97586 -1.99130 -1.88407 -1.66078 -1.33518 -0.92733 -0.46235 0.03110 0.52264 0.98199 1.38084 1.69463 1.90403 1.99613 1.96527 1.81335 1.54971 1.19062 0.75818 0.27903 -0.21730 -0.70025 -1.14006 -1.50965 -1.78623 -1.95278 -1.99903 -1.92214 -1.72684 -1.42517 -1.03570 -0.58243 -0.09328 0.40161 0.87177 1.28822 1.62532 1.86229 1.98454 ... ... ..... ....... TT....... ..TT....... ....TT....... E5 * 2.00000 1.90403 1.62532 1.19062 0.64165 0.03110 -0.58243 -1.14006 -1.58828 -1.88407 -1.99903 -1.92214 -1.66078 -1.24002 -0.70025 -0.09328 0.52264 1.08841 1.54971 1.86229 1.99613 1.93840 1.69463 1.28822 0.75818 0.15537 -0.46235 -1.03570 -1.50965 -1.83871 -1.99130 -1.95278 -1.72684 -1.33518 -0.81537 -0.21730 0.40161 0.98199 1.46812 1.81335 1.98454 1.96527 1.75739 1.38084 0.87177 0.27903 -0.34049 -0.92733 -1.42517 -1.78623 -1.97586 ... ... ..... ....... ......... TT......... ..TT......... E6 * 2.00000 1.86229 1.46812 0.87177 0.15537 -0.58243 -1.24002 -1.72684 -1.97586 -1.95278 -1.66078 -1.14006 -0.46235 0.27903 0.98199 1.54971 1.90403 1.99613 1.81335 1.38084 0.75818 0.03110 -0.70025 -1.33518 -1.78623 -1.99130 -1.92214 -1.58828 -1.03570 -0.34049 0.40161 1.08841 1.62532 1.93840 1.98454 1.75739 1.28822 0.64165 -0.09328 -0.81537 -1.42517 -1.83871 -1.99903 -1.88407 -1.50965 -0.92733 -0.21730 0.52264 1.19062 1.69463 1.96527 ... ... ..... ....... ......... ........... TT........... E7 * 2.00000 1.81335 1.28822 0.52264 -0.34049 -1.14006 -1.72684 -1.99130 -1.88407 -1.42517 -0.70025 0.15537 0.98199 1.62532 1.96527 1.93840 1.54971 0.87177 0.03110 -0.81537 -1.50965 -1.92214 -1.97586 -1.66078 -1.03570 -0.21730 0.64165 1.38084 1.86229 1.99613 1.75739 1.19062 0.40161 -0.46235 -1.24002 -1.78623 -1.99903 -1.83871 -1.33518 -0.58243 0.27903 1.08841 1.69463 1.98454 1.90403 1.46812 0.75818 -0.09328 -0.92733 -1.58828 -1.95278 ... ... ..... ....... ......... ........... ............. E8 * 2.00000 1.75739 1.08841 0.15537 -0.81537 -1.58828 -1.97586 -1.88407 -1.33518 -0.46235 0.52264 1.38084 1.90403 1.96527 1.54971 0.75818 -0.21730 -1.14006 -1.78623 -1.99903 -1.72684 -1.03570 -0.09328 0.87177 1.62532 1.98454 1.86229 1.28822 0.40161 -0.58243 -1.42517 -1.92214 -1.95278 -1.50965 -0.70025 0.27903 1.19062 1.81335 1.99613 1.69463 0.98199 0.03110 -0.92733 -1.66078 -1.99130 -1.83871 -1.24002 -0.34049 0.64165 1.46812 1.93840 ... ... ..... ....... ......... ........... ............. E9 * 2.00000 1.69463 0.87177 -0.21730 -1.24002 -1.88407 -1.95278 -1.42517 -0.46235 0.64165 1.54971 1.98454 1.81335 1.08841 0.03110 -1.03570 -1.78623 -1.99130 -1.58828 -0.70025 0.40161 1.38084 1.93840 1.90403 1.28822 0.27903 -0.81537 -1.66078 -1.99903 -1.72684 -0.92733 0.15537 1.19062 1.86229 1.96527 1.46812 0.52264 -0.58243 -1.50965 -1.97586 -1.83871 -1.14006 -0.09328 0.98199 1.75739 1.99613 1.62532 0.75818 -0.34049 -1.33518 -1.92214 ... ... ..... ....... ......... ........... ............. E10 * 2.00000 1.62532 0.64165 -0.58243 -1.58828 -1.99903 -1.66078 -0.70025 0.52264 1.54971 1.99613 1.69463 0.75818 -0.46235 -1.50965 -1.99130 -1.72684 -0.81537 0.40161 1.46812 1.98454 1.75739 0.87177 -0.34049 -1.42517 -1.97586 -1.78623 -0.92733 0.27903 1.38084 1.96527 1.81335 0.98199 -0.21730 -1.33518 -1.95278 -1.83871 -1.03570 0.15537 1.28822 1.93840 1.86229 1.08841 -0.09328 -1.24002 -1.92214 -1.88407 -1.14006 0.03110 1.19062 1.90403 ... ... ..... ....... ......... ........... ............. E11 * 2.00000 1.54971 0.40161 -0.92733 -1.83871 -1.92214 -1.14006 0.15537 1.38084 1.98454 1.69463 0.64165 -0.70025 -1.72684 -1.97586 -1.33518 -0.09328 1.19062 1.93840 1.81335 0.87177 -0.46235 -1.58828 -1.99903 -1.50965 -0.34049 0.98199 1.86229 1.90403 1.08841 -0.21730 -1.42517 -1.99130 -1.66078 -0.58243 0.75818 1.75739 1.96527 1.28822 0.03110 -1.24002 -1.95278 -1.78623 -0.81537 0.52264 1.62532 1.99613 1.46812 0.27903 -1.03570 -1.88407 ... ... ..... ....... ......... ........... ............. E12 * 2.00000 1.46812 0.15537 -1.24002 -1.97586 -1.66078 -0.46235 0.98199 1.90403 1.81335 0.75818 -0.70025 -1.78623 -1.92214 -1.03570 0.40161 1.62532 1.98454 1.28822 -0.09328 -1.42517 -1.99903 -1.50965 -0.21730 1.19062 1.96527 1.69463 0.52264 -0.92733 -1.88407 -1.83871 -0.81537 0.64165 1.75739 1.93840 1.08841 -0.34049 -1.58828 -1.99130 -1.33518 0.03110 1.38084 1.99613 1.54971 0.27903 -1.14006 -1.95278 -1.72684 -0.58243 0.87177 1.86229 ... ... ..... ....... ......... ........... ............. E13 * 2.00000 1.38084 -0.09328 -1.50965 -1.99130 -1.24002 0.27903 1.62532 1.96527 1.08841 -0.46235 -1.72684 -1.92214 -0.92733 0.64165 1.81335 1.86229 0.75818 -0.81537 -1.88407 -1.78623 -0.58243 0.98199 1.93840 1.69463 0.40161 -1.14006 -1.97586 -1.58828 -0.21730 1.28822 1.99613 1.46812 0.03110 -1.42517 -1.99903 -1.33518 0.15537 1.54971 1.98454 1.19062 -0.34049 -1.66078 -1.95278 -1.03570 0.52264 1.75739 1.90403 0.87177 -0.70025 -1.83871 ... ... ..... ....... ......... ........... ............. E14 * 2.00000 1.28822 -0.34049 -1.72684 -1.88407 -0.70025 0.98199 1.96527 1.54971 0.03110 -1.50965 -1.97586 -1.03570 0.64165 1.86229 1.75739 0.40161 -1.24002 -1.99903 -1.33518 0.27903 1.69463 1.90403 0.75818 -0.92733 -1.95278 -1.58828 -0.09328 1.46812 1.98454 1.08841 -0.58243 -1.83871 -1.78623 -0.46235 1.19062 1.99613 1.38084 -0.21730 -1.66078 -1.92214 -0.81537 0.87177 1.93840 1.62532 0.15537 -1.42517 -1.99130 -1.14006 0.52264 1.81335 ... ... ..... ....... ......... ........... ............. E15 * 2.00000 1.19062 -0.58243 -1.88407 -1.66078 -0.09328 1.54971 1.93840 0.75818 -1.03570 -1.99130 -1.33518 0.40161 1.81335 1.75739 0.27903 -1.42517 -1.97586 -0.92733 0.87177 1.96527 1.46812 -0.21730 -1.72684 -1.83871 -0.46235 1.28822 1.99613 1.08841 -0.70025 -1.92214 -1.58828 0.03110 1.62532 1.90403 0.64165 -1.14006 -1.99903 -1.24002 0.52264 1.86229 1.69463 0.15537 -1.50965 -1.95278 -0.81537 0.98199 1.98454 1.38084 -0.34049 -1.78623 ... ... ..... ....... ......... ........... ............. E16 * 2.00000 1.08841 -0.81537 -1.97586 -1.33518 0.52264 1.90403 1.54971 -0.21730 -1.78623 -1.72684 -0.09328 1.62532 1.86229 0.40161 -1.42517 -1.95278 -0.70025 1.19062 1.99613 0.98199 -0.92733 -1.99130 -1.24002 0.64165 1.93840 1.46812 -0.34049 -1.83871 -1.66078 0.03110 1.69463 1.81335 0.27903 -1.50965 -1.92214 -0.58243 1.28822 1.98454 0.87177 -1.03570 -1.99903 -1.14006 0.75818 1.96527 1.38084 -0.46235 -1.88407 -1.58828 0.15537 1.75739 ... ... ..... ....... ......... ........... ............. E17 * 2.00000 0.98199 -1.03570 -1.99903 -0.92733 1.08841 1.99613 0.87177 -1.14006 -1.99130 -0.81537 1.19062 1.98454 0.75818 -1.24002 -1.97586 -0.70025 1.28822 1.96527 0.64165 -1.33518 -1.95278 -0.58243 1.38084 1.93840 0.52264 -1.42517 -1.92214 -0.46235 1.46812 1.90403 0.40161 -1.50965 -1.88407 -0.34049 1.54971 1.86229 0.27903 -1.58828 -1.83871 -0.21730 1.62532 1.81335 0.15537 -1.66078 -1.78623 -0.09328 1.69463 1.75739 0.03110 -1.72684 ... ... ..... ....... ......... ........... ............. E18 * 2.00000 0.87177 -1.24002 -1.95278 -0.46235 1.54971 1.81335 0.03110 -1.78623 -1.58828 0.40161 1.93840 1.28822 -0.81537 -1.99903 -0.92733 1.19062 1.96527 0.52264 -1.50965 -1.83871 -0.09328 1.75739 1.62532 -0.34049 -1.92214 -1.33518 0.75818 1.99613 0.98199 -1.14006 -1.97586 -0.58243 1.46812 1.86229 0.15537 -1.72684 -1.66078 0.27903 1.90403 1.38084 -0.70025 -1.99130 -1.03570 1.08841 1.98454 0.64165 -1.42517 -1.88407 -0.21730 1.69463 ... ... ..... ....... ......... ........... ............. E19 * 2.00000 0.75818 -1.42517 -1.83871 0.03110 1.86229 1.38084 -0.81537 -1.99903 -0.70025 1.46812 1.81335 -0.09328 -1.88407 -1.33518 0.87177 1.99613 0.64165 -1.50965 -1.78623 0.15537 1.90403 1.28822 -0.92733 -1.99130 -0.58243 1.54971 1.75739 -0.21730 -1.92214 -1.24002 0.98199 1.98454 0.52264 -1.58828 -1.72684 0.27903 1.93840 1.19062 -1.03570 -1.97586 -0.46235 1.62532 1.69463 -0.34049 -1.95278 -1.14006 1.08841 1.96527 0.40161 -1.66078 ... ... ..... ....... ......... ........... ............. E20 * 2.00000 0.64165 -1.58828 -1.66078 0.52264 1.99613 0.75818 -1.50965 -1.72684 0.40161 1.98454 0.87177 -1.42517 -1.78623 0.27903 1.96527 0.98199 -1.33518 -1.83871 0.15537 1.93840 1.08841 -1.24002 -1.88407 0.03110 1.90403 1.19062 -1.14006 -1.92214 -0.09328 1.86229 1.28822 -1.03570 -1.95278 -0.21730 1.81335 1.38084 -0.92733 -1.97586 -0.34049 1.75739 1.46812 -0.81537 -1.99130 -0.46235 1.69463 1.54971 -0.70025 -1.99903 -0.58243 1.62532 ... ... ..... ....... ......... ........... ............. E21 * 2.00000 0.52264 -1.72684 -1.42517 0.98199 1.93840 0.03110 -1.92214 -1.03570 1.38084 1.75739 -0.46235 -1.99903 -0.58243 1.69463 1.46812 -0.92733 -1.95278 -0.09328 1.90403 1.08841 -1.33518 -1.78623 0.40161 1.99613 0.64165 -1.66078 -1.50965 0.87177 1.96527 0.15537 -1.88407 -1.14006 1.28822 1.81335 -0.34049 -1.99130 -0.70025 1.62532 1.54971 -0.81537 -1.97586 -0.21730 1.86229 1.19062 -1.24002 -1.83871 0.27903 1.98454 0.75818 -1.58828 ... ... ..... ....... ......... ........... ............. E22 * 2.00000 0.40161 -1.83871 -1.14006 1.38084 1.69463 -0.70025 -1.97586 -0.09328 1.93840 0.87177 -1.58828 -1.50965 0.98199 1.90403 -0.21730 -1.99130 -0.58243 1.75739 1.28822 -1.24002 -1.78623 0.52264 1.99613 0.27903 -1.88407 -1.03570 1.46812 1.62532 -0.81537 -1.95278 0.03110 1.96527 0.75818 -1.66078 -1.42517 1.08841 1.86229 -0.34049 -1.99903 -0.46235 1.81335 1.19062 -1.33518 -1.72684 0.64165 1.98454 0.15537 -1.92214 -0.92733 1.54971 ... ... ..... ....... ......... ........... ............. E23 * 2.00000 0.27903 -1.92214 -0.81537 1.69463 1.28822 -1.33518 -1.66078 0.87177 1.90403 -0.34049 -1.99903 -0.21730 1.93840 0.75818 -1.72684 -1.24002 1.38084 1.62532 -0.92733 -1.88407 0.40161 1.99613 0.15537 -1.95278 -0.70025 1.75739 1.19062 -1.42517 -1.58828 0.98199 1.86229 -0.46235 -1.99130 -0.09328 1.96527 0.64165 -1.78623 -1.14006 1.46812 1.54971 -1.03570 -1.83871 0.52264 1.98454 0.03110 -1.97586 -0.58243 1.81335 1.08841 -1.50965 ... ... ..... ....... ......... ........... ............. E24 * 2.00000 0.15537 -1.97586 -0.46235 1.90403 0.75818 -1.78623 -1.03570 1.62532 1.28822 -1.42517 -1.50965 1.19062 1.69463 -0.92733 -1.83871 0.64165 1.93840 -0.34049 -1.99130 0.03110 1.99613 0.27903 -1.95278 -0.58243 1.86229 0.87177 -1.72684 -1.14006 1.54971 1.38084 -1.33518 -1.58828 1.08841 1.75739 -0.81537 -1.88407 0.52264 1.96527 -0.21730 -1.99903 -0.09328 1.98454 0.40161 -1.92214 -0.70025 1.81335 0.98199 -1.66078 -1.24002 1.46812 ... ... ..... ....... ......... ........... ............. E25 * 2.00000 0.03110 -1.99903 -0.09328 1.99613 0.15537 -1.99130 -0.21730 1.98454 0.27903 -1.97586 -0.34049 1.96527 0.40161 -1.95278 -0.46235 1.93840 0.52264 -1.92214 -0.58243 1.90403 0.64165 -1.88407 -0.70025 1.86229 0.75818 -1.83871 -0.81537 1.81335 0.87177 -1.78623 -0.92733 1.75739 0.98199 -1.72684 -1.03570 1.69463 1.08841 -1.66078 -1.14006 1.62532 1.19062 -1.58828 -1.24002 1.54971 1.28822 -1.50965 -1.33518 1.46812 1.38084 -1.42517 ... ... ..... ....... ......... ........... ............. E26 * 2.00000 -0.09328 -1.99130 0.27903 1.96527 -0.46235 -1.92214 0.64165 1.86229 -0.81537 -1.78623 0.98199 1.69463 -1.14006 -1.58828 1.28822 1.46812 -1.42517 -1.33518 1.54971 1.19062 -1.66078 -1.03570 1.75739 0.87177 -1.83871 -0.70025 1.90403 0.52264 -1.95278 -0.34049 1.98454 0.15537 -1.99903 0.03110 1.99613 -0.21730 -1.97586 0.40161 1.93840 -0.58243 -1.88407 0.75818 1.81335 -0.92733 -1.72684 1.08841 1.62532 -1.24002 -1.50965 1.38084 ... ... ..... ....... ......... ........... ............. E27 * 2.00000 -0.21730 -1.95278 0.64165 1.81335 -1.03570 -1.58828 1.38084 1.28822 -1.66078 -0.92733 1.86229 0.52264 -1.97586 -0.09328 1.99613 -0.34049 -1.92214 0.75818 1.75739 -1.14006 -1.50965 1.46812 1.19062 -1.72684 -0.81537 1.90403 0.40161 -1.99130 0.03110 1.98454 -0.46235 -1.88407 0.87177 1.69463 -1.24002 -1.42517 1.54971 1.08841 -1.78623 -0.70025 1.93840 0.27903 -1.99903 0.15537 1.96527 -0.58243 -1.83871 0.98199 1.62532 -1.33518 ... ... ..... ....... ......... ........... ............. E28 * 2.00000 -0.34049 -1.88407 0.98199 1.54971 -1.50965 -1.03570 1.86229 0.40161 -1.99903 0.27903 1.90403 -0.92733 -1.58828 1.46812 1.08841 -1.83871 -0.46235 1.99613 -0.21730 -1.92214 0.87177 1.62532 -1.42517 -1.14006 1.81335 0.52264 -1.99130 0.15537 1.93840 -0.81537 -1.66078 1.38084 1.19062 -1.78623 -0.58243 1.98454 -0.09328 -1.95278 0.75818 1.69463 -1.33518 -1.24002 1.75739 0.64165 -1.97586 0.03110 1.96527 -0.70025 -1.72684 1.28822 ... ... ..... ....... ......... ........... ............. E29 * 2.00000 -0.46235 -1.78623 1.28822 1.19062 -1.83871 -0.34049 1.99613 -0.58243 -1.72684 1.38084 1.08841 -1.88407 -0.21730 1.98454 -0.70025 -1.66078 1.46812 0.98199 -1.92214 -0.09328 1.96527 -0.81537 -1.58828 1.54971 0.87177 -1.95278 0.03110 1.93840 -0.92733 -1.50965 1.62532 0.75818 -1.97586 0.15537 1.90403 -1.03570 -1.42517 1.69463 0.64165 -1.99130 0.27903 1.86229 -1.14006 -1.33518 1.75739 0.52264 -1.99903 0.40161 1.81335 -1.24002 ... ... ..... ....... ......... ........... ............. E30 * 2.00000 -0.58243 -1.66078 1.54971 0.75818 -1.99130 0.40161 1.75739 -1.42517 -0.92733 1.96527 -0.21730 -1.83871 1.28822 1.08841 -1.92214 0.03110 1.90403 -1.14006 -1.24002 1.86229 0.15537 -1.95278 0.98199 1.38084 -1.78623 -0.34049 1.98454 -0.81537 -1.50965 1.69463 0.52264 -1.99903 0.64165 1.62532 -1.58828 -0.70025 1.99613 -0.46235 -1.72684 1.46812 0.87177 -1.97586 0.27903 1.81335 -1.33518 -1.03570 1.93840 -0.09328 -1.88407 1.19062 ... ... ..... ....... ......... ........... ............. E31 * 2.00000 -0.70025 -1.50965 1.75739 0.27903 -1.95278 1.08841 1.19062 -1.92214 0.15537 1.81335 -1.42517 -0.81537 1.99613 -0.58243 -1.58828 1.69463 0.40161 -1.97586 0.98199 1.28822 -1.88407 0.03110 1.86229 -1.33518 -0.92733 1.98454 -0.46235 -1.66078 1.62532 0.52264 -1.99130 0.87177 1.38084 -1.83871 -0.09328 1.90403 -1.24002 -1.03570 1.96527 -0.34049 -1.72684 1.54971 0.64165 -1.99903 0.75818 1.46812 -1.78623 -0.21730 1.93840 -1.14006 ... ... ..... ....... ......... ........... ............. E32 * 2.00000 -0.81537 -1.33518 1.90403 -0.21730 -1.72684 1.62532 0.40161 -1.95278 1.19062 0.98199 -1.99130 0.64165 1.46812 -1.83871 0.03110 1.81335 -1.50965 -0.58243 1.98454 -1.03570 -1.14006 1.96527 -0.46235 -1.58828 1.75739 0.15537 -1.88407 1.38084 0.75818 -1.99903 0.87177 1.28822 -1.92214 0.27903 1.69463 -1.66078 -0.34049 1.93840 -1.24002 -0.92733 1.99613 -0.70025 -1.42517 1.86229 -0.09328 -1.78623 1.54971 0.52264 -1.97586 1.08841 ... ... ..... ....... ......... ........... ............. E33 * 2.00000 -0.92733 -1.14006 1.98454 -0.70025 -1.33518 1.93840 -0.46235 -1.50965 1.86229 -0.21730 -1.66078 1.75739 0.03110 -1.78623 1.62532 0.27903 -1.88407 1.46812 0.52264 -1.95278 1.28822 0.75818 -1.99130 1.08841 0.98199 -1.99903 0.87177 1.19062 -1.97586 0.64165 1.38084 -1.92214 0.40161 1.54971 -1.83871 0.15537 1.69463 -1.72684 -0.09328 1.81335 -1.58828 -0.34049 1.90403 -1.42517 -0.58243 1.96527 -1.24002 -0.81537 1.99613 -1.03570 ... ... ..... ....... ......... ........... ............. E34 * 2.00000 -1.03570 -0.92733 1.99613 -1.14006 -0.81537 1.98454 -1.24002 -0.70025 1.96527 -1.33518 -0.58243 1.93840 -1.42517 -0.46235 1.90403 -1.50965 -0.34049 1.86229 -1.58828 -0.21730 1.81335 -1.66078 -0.09328 1.75739 -1.72684 0.03110 1.69463 -1.78623 0.15537 1.62532 -1.83871 0.27903 1.54971 -1.88407 0.40161 1.46812 -1.92214 0.52264 1.38084 -1.95278 0.64165 1.28822 -1.97586 0.75818 1.19062 -1.99130 0.87177 1.08841 -1.99903 0.98199 ... ... ..... ....... ......... ........... ............. E35 * 2.00000 -1.14006 -0.70025 1.93840 -1.50965 -0.21730 1.75739 -1.78623 0.27903 1.46812 -1.95278 0.75818 1.08841 -1.99903 1.19062 0.64165 -1.92214 1.54971 0.15537 -1.72684 1.81335 -0.34049 -1.42517 1.96527 -0.81537 -1.03570 1.99613 -1.24002 -0.58243 1.90403 -1.58828 -0.09328 1.69463 -1.83871 0.40161 1.38084 -1.97586 0.87177 0.98199 -1.99130 1.28822 0.52264 -1.88407 1.62532 0.03110 -1.66078 1.86229 -0.46235 -1.33518 1.98454 -0.92733 ... ... ..... ....... ......... ........... ............. E36 * 2.00000 -1.24002 -0.46235 1.81335 -1.78623 0.40161 1.28822 -1.99903 1.19062 0.52264 -1.83871 1.75739 -0.34049 -1.33518 1.99613 -1.14006 -0.58243 1.86229 -1.72684 0.27903 1.38084 -1.99130 1.08841 0.64165 -1.88407 1.69463 -0.21730 -1.42517 1.98454 -1.03570 -0.70025 1.90403 -1.66078 0.15537 1.46812 -1.97586 0.98199 0.75818 -1.92214 1.62532 -0.09328 -1.50965 1.96527 -0.92733 -0.81537 1.93840 -1.58828 0.03110 1.54971 -1.95278 0.87177 ... ... ..... ....... ......... ........... ............. E37 * 2.00000 -1.33518 -0.21730 1.62532 -1.95278 0.98199 0.64165 -1.83871 1.81335 -0.58243 -1.03570 1.96527 -1.58828 0.15537 1.38084 -1.99903 1.28822 0.27903 -1.66078 1.93840 -0.92733 -0.70025 1.86229 -1.78623 0.52264 1.08841 -1.97586 1.54971 -0.09328 -1.42517 1.99613 -1.24002 -0.34049 1.69463 -1.92214 0.87177 0.75818 -1.88407 1.75739 -0.46235 -1.14006 1.98454 -1.50965 0.03110 1.46812 -1.99130 1.19062 0.40161 -1.72684 1.90403 -0.81537 ... ... ..... ....... ......... ........... ............. E38 * 2.00000 -1.42517 0.03110 1.38084 -1.99903 1.46812 -0.09328 -1.33518 1.99613 -1.50965 0.15537 1.28822 -1.99130 1.54971 -0.21730 -1.24002 1.98454 -1.58828 0.27903 1.19062 -1.97586 1.62532 -0.34049 -1.14006 1.96527 -1.66078 0.40161 1.08841 -1.95278 1.69463 -0.46235 -1.03570 1.93840 -1.72684 0.52264 0.98199 -1.92214 1.75739 -0.58243 -0.92733 1.90403 -1.78623 0.64165 0.87177 -1.88407 1.81335 -0.70025 -0.81537 1.86229 -1.83871 0.75818 ... ... ..... ....... ......... ........... ............. E39 * 2.00000 -1.50965 0.27903 1.08841 -1.92214 1.81335 -0.81537 -0.58243 1.69463 -1.97586 1.28822 0.03110 -1.33518 1.98454 -1.66078 0.52264 0.87177 -1.83871 1.90403 -1.03570 -0.34049 1.54971 -1.99903 1.46812 -0.21730 -1.14006 1.93840 -1.78623 0.75818 0.64165 -1.72684 1.96527 -1.24002 -0.09328 1.38084 -1.99130 1.62532 -0.46235 -0.92733 1.86229 -1.88407 0.98199 0.40161 -1.58828 1.99613 -1.42517 0.15537 1.19062 -1.95278 1.75739 -0.70025 ... ... ..... ....... ......... ........... ............. E40 * 2.00000 -1.58828 0.52264 0.75818 -1.72684 1.98454 -1.42517 0.27903 0.98199 -1.83871 1.93840 -1.24002 0.03110 1.19062 -1.92214 1.86229 -1.03570 -0.21730 1.38084 -1.97586 1.75739 -0.81537 -0.46235 1.54971 -1.99903 1.62532 -0.58243 -0.70025 1.69463 -1.99130 1.46812 -0.34049 -0.92733 1.81335 -1.95278 1.28822 -0.09328 -1.14006 1.90403 -1.88407 1.08841 0.15537 -1.33518 1.96527 -1.78623 0.87177 0.40161 -1.50965 1.99613 -1.66078 0.64165 ... ... ..... ....... ......... ........... ............. E41 * 2.00000 -1.66078 0.75818 0.40161 -1.42517 1.96527 -1.83871 1.08841 0.03110 -1.14006 1.86229 -1.95278 1.38084 -0.34049 -0.81537 1.69463 -1.99903 1.62532 -0.70025 -0.46235 1.46812 -1.97586 1.81335 -1.03570 -0.09328 1.19062 -1.88407 1.93840 -1.33518 0.27903 0.87177 -1.72684 1.99613 -1.58828 0.64165 0.52264 -1.50965 1.98454 -1.78623 0.98199 0.15537 -1.24002 1.90403 -1.92214 1.28822 -0.21730 -0.92733 1.75739 -1.99130 1.54971 -0.58243 ... ... ..... ....... ......... ........... ............. E42 * 2.00000 -1.72684 0.98199 0.03110 -1.03570 1.75739 -1.99903 1.69463 -0.92733 -0.09328 1.08841 -1.78623 1.99613 -1.66078 0.87177 0.15537 -1.14006 1.81335 -1.99130 1.62532 -0.81537 -0.21730 1.19062 -1.83871 1.98454 -1.58828 0.75818 0.27903 -1.24002 1.86229 -1.97586 1.54971 -0.70025 -0.34049 1.28822 -1.88407 1.96527 -1.50965 0.64165 0.40161 -1.33518 1.90403 -1.95278 1.46812 -0.58243 -0.46235 1.38084 -1.92214 1.93840 -1.42517 0.52264 ... ... ..... ....... ......... ........... ............. E43 * 2.00000 -1.78623 1.19062 -0.34049 -0.58243 1.38084 -1.88407 1.98454 -1.66078 0.98199 -0.09328 -0.81537 1.54971 -1.95278 1.93840 -1.50965 0.75818 0.15537 -1.03570 1.69463 -1.99130 1.86229 -1.33518 0.52264 0.40161 -1.24002 1.81335 -1.99903 1.75739 -1.14006 0.27903 0.64165 -1.42517 1.90403 -1.97586 1.62532 -0.92733 0.03110 0.87177 -1.58828 1.96527 -1.92214 1.46812 -0.70025 -0.21730 1.08841 -1.72684 1.99613 -1.83871 1.28822 -0.46235 ... ... ..... ....... ......... ........... ............. E44 * 2.00000 -1.83871 1.38084 -0.70025 -0.09328 0.87177 -1.50965 1.90403 -1.99130 1.75739 -1.24002 0.52264 0.27903 -1.03570 1.62532 -1.95278 1.96527 -1.66078 1.08841 -0.34049 -0.46235 1.19062 -1.72684 1.98454 -1.92214 1.54971 -0.92733 0.15537 0.64165 -1.33518 1.81335 -1.99903 1.86229 -1.42517 0.75818 0.03110 -0.81537 1.46812 -1.88407 1.99613 -1.78623 1.28822 -0.58243 -0.21730 0.98199 -1.58828 1.93840 -1.97586 1.69463 -1.14006 0.40161 ... ... ..... ....... ......... ........... ............. E45 * 2.00000 -1.88407 1.54971 -1.03570 0.40161 0.27903 -0.92733 1.46812 -1.83871 1.99613 -1.92214 1.62532 -1.14006 0.52264 0.15537 -0.81537 1.38084 -1.78623 1.98454 -1.95278 1.69463 -1.24002 0.64165 0.03110 -0.70025 1.28822 -1.72684 1.96527 -1.97586 1.75739 -1.33518 0.75818 -0.09328 -0.58243 1.19062 -1.66078 1.93840 -1.99130 1.81335 -1.42517 0.87177 -0.21730 -0.46235 1.08841 -1.58828 1.90403 -1.99903 1.86229 -1.50965 0.98199 -0.34049 ... ... ..... ....... ......... ........... ............. E46 * 2.00000 -1.92214 1.69463 -1.33518 0.87177 -0.34049 -0.21730 0.75818 -1.24002 1.62532 -1.88407 1.99613 -1.95278 1.75739 -1.42517 0.98199 -0.46235 -0.09328 0.64165 -1.14006 1.54971 -1.83871 1.98454 -1.97586 1.81335 -1.50965 1.08841 -0.58243 0.03110 0.52264 -1.03570 1.46812 -1.78623 1.96527 -1.99130 1.86229 -1.58828 1.19062 -0.70025 0.15537 0.40161 -0.92733 1.38084 -1.72684 1.93840 -1.99903 1.90403 -1.66078 1.28822 -0.81537 0.27903 ... ... ..... ....... ......... ........... ............. E47 * 2.00000 -1.95278 1.81335 -1.58828 1.28822 -0.92733 0.52264 -0.09328 -0.34049 0.75818 -1.14006 1.46812 -1.72684 1.90403 -1.99130 1.98454 -1.88407 1.69463 -1.42517 1.08841 -0.70025 0.27903 0.15537 -0.58243 0.98199 -1.33518 1.62532 -1.83871 1.96527 -1.99903 1.93840 -1.78623 1.54971 -1.24002 0.87177 -0.46235 0.03110 0.40161 -0.81537 1.19062 -1.50965 1.75739 -1.92214 1.99613 -1.97586 1.86229 -1.66078 1.38084 -1.03570 0.64165 -0.21730 ... ... ..... ....... ......... ........... ............. E48 * 2.00000 -1.97586 1.90403 -1.78623 1.62532 -1.42517 1.19062 -0.92733 0.64165 -0.34049 0.03110 0.27903 -0.58243 0.87177 -1.14006 1.38084 -1.58828 1.75739 -1.88407 1.96527 -1.99903 1.98454 -1.92214 1.81335 -1.66078 1.46812 -1.24002 0.98199 -0.70025 0.40161 -0.09328 -0.21730 0.52264 -0.81537 1.08841 -1.33518 1.54971 -1.72684 1.86229 -1.95278 1.99613 -1.99130 1.93840 -1.83871 1.69463 -1.50965 1.28822 -1.03570 0.75818 -0.46235 0.15537 ... ... ..... ....... ......... ........... ............. E49 * 2.00000 -1.99130 1.96527 -1.92214 1.86229 -1.78623 1.69463 -1.58828 1.46812 -1.33518 1.19062 -1.03570 0.87177 -0.70025 0.52264 -0.34049 0.15537 0.03110 -0.21730 0.40161 -0.58243 0.75818 -0.92733 1.08841 -1.24002 1.38084 -1.50965 1.62532 -1.72684 1.81335 -1.88407 1.93840 -1.97586 1.99613 -1.99903 1.98454 -1.95278 1.90403 -1.83871 1.75739 -1.66078 1.54971 -1.42517 1.28822 -1.14006 0.98199 -0.81537 0.64165 -0.46235 0.27903 -0.09328 ... ... ..... ....... ......... ........... ............. E50 * 2.00000 -1.99903 1.99613 -1.99130 1.98454 -1.97586 1.96527 -1.95278 1.93840 -1.92214 1.90403 -1.88407 1.86229 -1.83871 1.81335 -1.78623 1.75739 -1.72684 1.69463 -1.66078 1.62532 -1.58828 1.54971 -1.50965 1.46812 -1.42517 1.38084 -1.33518 1.28822 -1.24002 1.19062 -1.14006 1.08841 -1.03570 0.98199 -0.92733 0.87177 -0.81537 0.75818 -0.70025 0.64165 -0.58243 0.52264 -0.46235 0.40161 -0.34049 0.27903 -0.21730 0.15537 -0.09328 0.03110 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.996131194267 = 2*cos(2*π/101) 1.984539744727 = 2*cos(4*π/101) 1.965270496445 = 2*cos(6*π/101) 1.938397998399 = 2*cos(8*π/101) 1.904026215065 = 2*cos(10*π/101) 1.862288124195 = 2*cos(12*π/101) 1.813345202354 = 2*cos(14*π/101) 1.757386800199 = 2*cos(16*π/101) 1.694629409916 = 2*cos(18*π/101) 1.625315827657 = 2*cos(20*π/101) 1.549714214206 = 2*cos(22*π/101) 1.468117057519 = 2*cos(24*π/101) 1.380840041143 = 2*cos(26*π/101) 1.288220822901 = 2*cos(28*π/101) 1.190617728553 = 2*cos(30*π/101) 1.088408365512 = 2*cos(32*π/101) 0.981988161947 = 2*cos(34*π/101) 0.871768836951 = 2*cos(36*π/101) 0.758176807681 = 2*cos(38*π/101) 0.641651539631 = 2*cos(40*π/101) 0.522643846426 = 2*cos(42*π/101) 0.401614145711 = 2*cos(44*π/101) 0.279030677888 = 2*cos(46*π/101) 0.155367694578 = 2*cos(48*π/101) 0.031103623841 = 2*cos(50*π/101) -0.093280780775 = 2*cos(52*π/101) -0.217304300171 = 2*cos(54*π/101) -0.340487111445 = 2*cos(56*π/101) -0.462352644230 = 2*cos(58*π/101) -0.582429424455 = 2*cos(60*π/101) -0.700252898383 = 2*cos(62*π/101) -0.815367229883 = 2*cos(64*π/101) -0.927327063971 = 2*cos(66*π/101) -1.035699249797 = 2*cos(68*π/101) -1.140064516428 = 2*cos(70*π/101) -1.240019094922 = 2*cos(72*π/101) -1.335176280432 = 2*cos(74*π/101) -1.425167928295 = 2*cos(76*π/101) -1.509645878307 = 2*cos(78*π/101) -1.588283301690 = 2*cos(80*π/101) -1.660775965530 = 2*cos(82*π/101) -1.726843409793 = 2*cos(84*π/101) -1.786230032374 = 2*cos(86*π/101) -1.838706077964 = 2*cos(88*π/101) -1.884068526940 = 2*cos(90*π/101) -1.922141880797 = 2*cos(92*π/101) -1.952778841127 = 2*cos(94*π/101) -1.975860879482 = 2*cos(96*π/101) -1.991298695938 = 2*cos(98*π/101) -1.999032564584 = 2*cos(100*π/101) 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 C101 point group is 101, and the order of the principal axis (C101) is 101. The group has 51 irreducible representations. β The C101 point group is generated by one single symmetry element, C101. Therefore, it is a cyclic group. γ The lowest nonvanishing multipole moment in C101 is 2 (dipole moment). δ This is an Abelian point group (the commutative law holds between all symmetry operations). The C101 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 100 cases have been combined into 50 two-dimensional representations that are no longer irreducible but have real-valued characters. Accordingly, 50 pairs of left and right rotations have been combined into one two-membered pseudo-class each. ζ The 50 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.
| C99 | ||
| C100 | ||
| C101 | C101v C101h D101 D101h D101d | |
| C102 | ||
| C103 |
This Character Table for the C101 point group was created by Gernot Katzer.
For other groups and some explanations, see the Main Page.