C123 E 2 C123 2 C123^2 2 C41 2 C123^4 2 C123^5 2 C41^2 2 C123^7 2 C123^8 2 C41^3 2 C123^10 2 C123^11 2 C41^4 2 C123^13 2 C123^14 2 C41^5 2 C123^16 2 C123^17 2 C41^6 2 C123^19 2 C123^20 2 C41^7 2 C123^22 2 C123^23 2 C41^8 2 C123^25 2 C123^26 2 C41^9 2 C123^28 2 C123^29 2 C41^10 2 C123^31 2 C123^32 2 C41^11 2 C123^34 2 C123^35 2 C41^12 2 C123^37 2 C123^38 2 C41^13 2 C123^40 2 C3 2 C41^14 2 C123^43 2 C123^44 2 C41^15 2 C123^46 2 C123^47 2 C41^16 2 C123^49 2 C123^50 2 C41^17 2 C123^52 2 C123^53 2 C41^18 2 C123^55 2 C123^56 2 C41^19 2 C123^58 2 C123^59 2 C41^20 2 C123^61 <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 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 1.99739 1.98957 1.97656 1.95839 1.93512 1.90679 1.87349 1.83531 1.79233 1.74468 1.69248 1.63586 1.57497 1.50998 1.44104 1.36835 1.29209 1.21245 1.12965 1.04391 0.95544 0.86448 0.77126 0.67603 0.57904 0.48054 0.38078 0.28003 0.17855 0.07661 -0.02554 -0.12762 -0.22937 -0.33052 -0.43080 -0.52996 -0.62774 -0.72388 -0.81814 -0.91026 -1.00000 -1.08714 -1.17143 -1.25268 -1.33065 -1.40515 -1.47599 -1.54298 -1.60594 -1.66471 -1.71914 -1.76908 -1.81441 -1.85500 -1.89076 -1.92158 -1.94739 -1.96812 -1.98371 -1.99413 -1.99935 TT. TT. ..TT. ....TT. ......TT. ........TT. ..........TT. E2 * 2.00000 1.98957 1.95839 1.90679 1.83531 1.74468 1.63586 1.50998 1.36835 1.21245 1.04391 0.86448 0.67603 0.48054 0.28003 0.07661 -0.12762 -0.33052 -0.52996 -0.72388 -0.91026 -1.08714 -1.25268 -1.40515 -1.54298 -1.66471 -1.76908 -1.85500 -1.92158 -1.96812 -1.99413 -1.99935 -1.98371 -1.94739 -1.89076 -1.81441 -1.71914 -1.60594 -1.47599 -1.33065 -1.17143 -1.00000 -0.81814 -0.62774 -0.43080 -0.22937 -0.02554 0.17855 0.38078 0.57904 0.77126 0.95544 1.12965 1.29209 1.44104 1.57497 1.69248 1.79233 1.87349 1.93512 1.97656 1.99739 ... ... TT... ..TT... ....TT... ......TT... ........TT... E3 * 2.00000 1.97656 1.90679 1.79233 1.63586 1.44104 1.21245 0.95544 0.67603 0.38078 0.07661 -0.22937 -0.52996 -0.81814 -1.08714 -1.33065 -1.54298 -1.71914 -1.85500 -1.94739 -1.99413 -1.99413 -1.94739 -1.85500 -1.71914 -1.54298 -1.33065 -1.08714 -0.81814 -0.52996 -0.22937 0.07661 0.38078 0.67603 0.95544 1.21245 1.44104 1.63586 1.79233 1.90679 1.97656 2.00000 1.97656 1.90679 1.79233 1.63586 1.44104 1.21245 0.95544 0.67603 0.38078 0.07661 -0.22937 -0.52996 -0.81814 -1.08714 -1.33065 -1.54298 -1.71914 -1.85500 -1.94739 -1.99413 ... ... ..... TT..... ..TT..... ....TT..... ......TT..... E4 * 2.00000 1.95839 1.83531 1.63586 1.36835 1.04391 0.67603 0.28003 -0.12762 -0.52996 -0.91026 -1.25268 -1.54298 -1.76908 -1.92158 -1.99413 -1.98371 -1.89076 -1.71914 -1.47599 -1.17143 -0.81814 -0.43080 -0.02554 0.38078 0.77126 1.12965 1.44104 1.69248 1.87349 1.97656 1.99739 1.93512 1.79233 1.57497 1.29209 0.95544 0.57904 0.17855 -0.22937 -0.62774 -1.00000 -1.33065 -1.60594 -1.81441 -1.94739 -1.99935 -1.96812 -1.85500 -1.66471 -1.40515 -1.08714 -0.72388 -0.33052 0.07661 0.48054 0.86448 1.21245 1.50998 1.74468 1.90679 1.98957 ... ... ..... ....... TT....... ..TT....... ....TT....... E5 * 2.00000 1.93512 1.74468 1.44104 1.04391 0.57904 0.07661 -0.43080 -0.91026 -1.33065 -1.66471 -1.89076 -1.99413 -1.96812 -1.81441 -1.54298 -1.17143 -0.72388 -0.22937 0.28003 0.77126 1.21245 1.57497 1.83531 1.97656 1.98957 1.87349 1.63586 1.29209 0.86448 0.38078 -0.12762 -0.62774 -1.08714 -1.47599 -1.76908 -1.94739 -1.99935 -1.92158 -1.71914 -1.40515 -1.00000 -0.52996 -0.02554 0.48054 0.95544 1.36835 1.69248 1.90679 1.99739 1.95839 1.79233 1.50998 1.12965 0.67603 0.17855 -0.33052 -0.81814 -1.25268 -1.60594 -1.85500 -1.98371 ... ... ..... ....... ......... TT......... ..TT......... E6 * 2.00000 1.90679 1.63586 1.21245 0.67603 0.07661 -0.52996 -1.08714 -1.54298 -1.85500 -1.99413 -1.94739 -1.71914 -1.33065 -0.81814 -0.22937 0.38078 0.95544 1.44104 1.79233 1.97656 1.97656 1.79233 1.44104 0.95544 0.38078 -0.22937 -0.81814 -1.33065 -1.71914 -1.94739 -1.99413 -1.85500 -1.54298 -1.08714 -0.52996 0.07661 0.67603 1.21245 1.63586 1.90679 2.00000 1.90679 1.63586 1.21245 0.67603 0.07661 -0.52996 -1.08714 -1.54298 -1.85500 -1.99413 -1.94739 -1.71914 -1.33065 -0.81814 -0.22937 0.38078 0.95544 1.44104 1.79233 1.97656 ... ... ..... ....... ......... ........... TT........... E7 * 2.00000 1.87349 1.50998 0.95544 0.28003 -0.43080 -1.08714 -1.60594 -1.92158 -1.99413 -1.81441 -1.40515 -0.81814 -0.12762 0.57904 1.21245 1.69248 1.95839 1.97656 1.74468 1.29209 0.67603 -0.02554 -0.72388 -1.33065 -1.76908 -1.98371 -1.94739 -1.66471 -1.17143 -0.52996 0.17855 0.86448 1.44104 1.83531 1.99739 1.90679 1.57497 1.04391 0.38078 -0.33052 -1.00000 -1.54298 -1.89076 -1.99935 -1.85500 -1.47599 -0.91026 -0.22937 0.48054 1.12965 1.63586 1.93512 1.98957 1.79233 1.36835 0.77126 0.07661 -0.62774 -1.25268 -1.71914 -1.96812 ... ... ..... ....... ......... ........... ............. E8 * 2.00000 1.83531 1.36835 0.67603 -0.12762 -0.91026 -1.54298 -1.92158 -1.98371 -1.71914 -1.17143 -0.43080 0.38078 1.12965 1.69248 1.97656 1.93512 1.57497 0.95544 0.17855 -0.62774 -1.33065 -1.81441 -1.99935 -1.85500 -1.40515 -0.72388 0.07661 0.86448 1.50998 1.90679 1.98957 1.74468 1.21245 0.48054 -0.33052 -1.08714 -1.66471 -1.96812 -1.94739 -1.60594 -1.00000 -0.22937 0.57904 1.29209 1.79233 1.99739 1.87349 1.44104 0.77126 -0.02554 -0.81814 -1.47599 -1.89076 -1.99413 -1.76908 -1.25268 -0.52996 0.28003 1.04391 1.63586 1.95839 ... ... ..... ....... ......... ........... ............. E9 * 2.00000 1.79233 1.21245 0.38078 -0.52996 -1.33065 -1.85500 -1.99413 -1.71914 -1.08714 -0.22937 0.67603 1.44104 1.90679 1.97656 1.63586 0.95544 0.07661 -0.81814 -1.54298 -1.94739 -1.94739 -1.54298 -0.81814 0.07661 0.95544 1.63586 1.97656 1.90679 1.44104 0.67603 -0.22937 -1.08714 -1.71914 -1.99413 -1.85500 -1.33065 -0.52996 0.38078 1.21245 1.79233 2.00000 1.79233 1.21245 0.38078 -0.52996 -1.33065 -1.85500 -1.99413 -1.71914 -1.08714 -0.22937 0.67603 1.44104 1.90679 1.97656 1.63586 0.95544 0.07661 -0.81814 -1.54298 -1.94739 ... ... ..... ....... ......... ........... ............. E10 * 2.00000 1.74468 1.04391 0.07661 -0.91026 -1.66471 -1.99413 -1.81441 -1.17143 -0.22937 0.77126 1.57497 1.97656 1.87349 1.29209 0.38078 -0.62774 -1.47599 -1.94739 -1.92158 -1.40515 -0.52996 0.48054 1.36835 1.90679 1.95839 1.50998 0.67603 -0.33052 -1.25268 -1.85500 -1.98371 -1.60594 -0.81814 0.17855 1.12965 1.79233 1.99739 1.69248 0.95544 -0.02554 -1.00000 -1.71914 -1.99935 -1.76908 -1.08714 -0.12762 0.86448 1.63586 1.98957 1.83531 1.21245 0.28003 -0.72388 -1.54298 -1.96812 -1.89076 -1.33065 -0.43080 0.57904 1.44104 1.93512 ... ... ..... ....... ......... ........... ............. E11 * 2.00000 1.69248 0.86448 -0.22937 -1.25268 -1.89076 -1.94739 -1.40515 -0.43080 0.67603 1.57497 1.98957 1.79233 1.04391 -0.02554 -1.08714 -1.81441 -1.98371 -1.54298 -0.62774 0.48054 1.44104 1.95839 1.87349 1.21245 0.17855 -0.91026 -1.71914 -1.99935 -1.66471 -0.81814 0.28003 1.29209 1.90679 1.93512 1.36835 0.38078 -0.72388 -1.60594 -1.99413 -1.76908 -1.00000 0.07661 1.12965 1.83531 1.97656 1.50998 0.57904 -0.52996 -1.47599 -1.96812 -1.85500 -1.17143 -0.12762 0.95544 1.74468 1.99739 1.63586 0.77126 -0.33052 -1.33065 -1.92158 ... ... ..... ....... ......... ........... ............. E12 * 2.00000 1.63586 0.67603 -0.52996 -1.54298 -1.99413 -1.71914 -0.81814 0.38078 1.44104 1.97656 1.79233 0.95544 -0.22937 -1.33065 -1.94739 -1.85500 -1.08714 0.07661 1.21245 1.90679 1.90679 1.21245 0.07661 -1.08714 -1.85500 -1.94739 -1.33065 -0.22937 0.95544 1.79233 1.97656 1.44104 0.38078 -0.81814 -1.71914 -1.99413 -1.54298 -0.52996 0.67603 1.63586 2.00000 1.63586 0.67603 -0.52996 -1.54298 -1.99413 -1.71914 -0.81814 0.38078 1.44104 1.97656 1.79233 0.95544 -0.22937 -1.33065 -1.94739 -1.85500 -1.08714 0.07661 1.21245 1.90679 ... ... ..... ....... ......... ........... ............. E13 * 2.00000 1.57497 0.48054 -0.81814 -1.76908 -1.96812 -1.33065 -0.12762 1.12965 1.90679 1.87349 1.04391 -0.22937 -1.40515 -1.98371 -1.71914 -0.72388 0.57904 1.63586 1.99739 1.50998 0.38078 -0.91026 -1.81441 -1.94739 -1.25268 -0.02554 1.21245 1.93512 1.83531 0.95544 -0.33052 -1.47599 -1.99413 -1.66471 -0.62774 0.67603 1.69248 1.98957 1.44104 0.28003 -1.00000 -1.85500 -1.92158 -1.17143 0.07661 1.29209 1.95839 1.79233 0.86448 -0.43080 -1.54298 -1.99935 -1.60594 -0.52996 0.77126 1.74468 1.97656 1.36835 0.17855 -1.08714 -1.89076 ... ... ..... ....... ......... ........... ............. E14 * 2.00000 1.50998 0.28003 -1.08714 -1.92158 -1.81441 -0.81814 0.57904 1.69248 1.97656 1.29209 -0.02554 -1.33065 -1.98371 -1.66471 -0.52996 0.86448 1.83531 1.90679 1.04391 -0.33052 -1.54298 -1.99935 -1.47599 -0.22937 1.12965 1.93512 1.79233 0.77126 -0.62774 -1.71914 -1.96812 -1.25268 0.07661 1.36835 1.98957 1.63586 0.48054 -0.91026 -1.85500 -1.89076 -1.00000 0.38078 1.57497 1.99739 1.44104 0.17855 -1.17143 -1.94739 -1.76908 -0.72388 0.67603 1.74468 1.95839 1.21245 -0.12762 -1.40515 -1.99413 -1.60594 -0.43080 0.95544 1.87349 ... ... ..... ....... ......... ........... ............. E15 * 2.00000 1.44104 0.07661 -1.33065 -1.99413 -1.54298 -0.22937 1.21245 1.97656 1.63586 0.38078 -1.08714 -1.94739 -1.71914 -0.52996 0.95544 1.90679 1.79233 0.67603 -0.81814 -1.85500 -1.85500 -0.81814 0.67603 1.79233 1.90679 0.95544 -0.52996 -1.71914 -1.94739 -1.08714 0.38078 1.63586 1.97656 1.21245 -0.22937 -1.54298 -1.99413 -1.33065 0.07661 1.44104 2.00000 1.44104 0.07661 -1.33065 -1.99413 -1.54298 -0.22937 1.21245 1.97656 1.63586 0.38078 -1.08714 -1.94739 -1.71914 -0.52996 0.95544 1.90679 1.79233 0.67603 -0.81814 -1.85500 ... ... ..... ....... ......... ........... ............. E16 * 2.00000 1.36835 -0.12762 -1.54298 -1.98371 -1.17143 0.38078 1.69248 1.93512 0.95544 -0.62774 -1.81441 -1.85500 -0.72388 0.86448 1.90679 1.74468 0.48054 -1.08714 -1.96812 -1.60594 -0.22937 1.29209 1.99739 1.44104 -0.02554 -1.47599 -1.99413 -1.25268 0.28003 1.63586 1.95839 1.04391 -0.52996 -1.76908 -1.89076 -0.81814 0.77126 1.87349 1.79233 0.57904 -1.00000 -1.94739 -1.66471 -0.33052 1.21245 1.98957 1.50998 0.07661 -1.40515 -1.99935 -1.33065 0.17855 1.57497 1.97656 1.12965 -0.43080 -1.71914 -1.92158 -0.91026 0.67603 1.83531 ... ... ..... ....... ......... ........... ............. E17 * 2.00000 1.29209 -0.33052 -1.71914 -1.89076 -0.72388 0.95544 1.95839 1.57497 0.07661 -1.47599 -1.98371 -1.08714 0.57904 1.83531 1.79233 0.48054 -1.17143 -1.99413 -1.40515 0.17855 1.63586 1.93512 0.86448 -0.81814 -1.92158 -1.66471 -0.22937 1.36835 1.99739 1.21245 -0.43080 -1.76908 -1.85500 -0.62774 1.04391 1.97656 1.50998 -0.02554 -1.54298 -1.96812 -1.00000 0.67603 1.87349 1.74468 0.38078 -1.25268 -1.99935 -1.33065 0.28003 1.69248 1.90679 0.77126 -0.91026 -1.94739 -1.60594 -0.12762 1.44104 1.98957 1.12965 -0.52996 -1.81441 ... ... ..... ....... ......... ........... ............. E18 * 2.00000 1.21245 -0.52996 -1.85500 -1.71914 -0.22937 1.44104 1.97656 0.95544 -0.81814 -1.94739 -1.54298 0.07661 1.63586 1.90679 0.67603 -1.08714 -1.99413 -1.33065 0.38078 1.79233 1.79233 0.38078 -1.33065 -1.99413 -1.08714 0.67603 1.90679 1.63586 0.07661 -1.54298 -1.94739 -0.81814 0.95544 1.97656 1.44104 -0.22937 -1.71914 -1.85500 -0.52996 1.21245 2.00000 1.21245 -0.52996 -1.85500 -1.71914 -0.22937 1.44104 1.97656 0.95544 -0.81814 -1.94739 -1.54298 0.07661 1.63586 1.90679 0.67603 -1.08714 -1.99413 -1.33065 0.38078 1.79233 ... ... ..... ....... ......... ........... ............. E19 * 2.00000 1.12965 -0.72388 -1.94739 -1.47599 0.28003 1.79233 1.74468 0.17855 -1.54298 -1.92158 -0.62774 1.21245 1.99739 1.04391 -0.81814 -1.96812 -1.40515 0.38078 1.83531 1.69248 0.07661 -1.60594 -1.89076 -0.52996 1.29209 1.98957 0.95544 -0.91026 -1.98371 -1.33065 0.48054 1.87349 1.63586 -0.02554 -1.66471 -1.85500 -0.43080 1.36835 1.97656 0.86448 -1.00000 -1.99413 -1.25268 0.57904 1.90679 1.57497 -0.12762 -1.71914 -1.81441 -0.33052 1.44104 1.95839 0.77126 -1.08714 -1.99935 -1.17143 0.67603 1.93512 1.50998 -0.22937 -1.76908 ... ... ..... ....... ......... ........... ............. E20 * 2.00000 1.04391 -0.91026 -1.99413 -1.17143 0.77126 1.97656 1.29209 -0.62774 -1.94739 -1.40515 0.48054 1.90679 1.50998 -0.33052 -1.85500 -1.60594 0.17855 1.79233 1.69248 -0.02554 -1.71914 -1.76908 -0.12762 1.63586 1.83531 0.28003 -1.54298 -1.89076 -0.43080 1.44104 1.93512 0.57904 -1.33065 -1.96812 -0.72388 1.21245 1.98957 0.86448 -1.08714 -1.99935 -1.00000 0.95544 1.99739 1.12965 -0.81814 -1.98371 -1.25268 0.67603 1.95839 1.36835 -0.52996 -1.92158 -1.47599 0.38078 1.87349 1.57497 -0.22937 -1.81441 -1.66471 0.07661 1.74468 ... ... ..... ....... ......... ........... ............. E21 * 2.00000 0.95544 -1.08714 -1.99413 -0.81814 1.21245 1.97656 0.67603 -1.33065 -1.94739 -0.52996 1.44104 1.90679 0.38078 -1.54298 -1.85500 -0.22937 1.63586 1.79233 0.07661 -1.71914 -1.71914 0.07661 1.79233 1.63586 -0.22937 -1.85500 -1.54298 0.38078 1.90679 1.44104 -0.52996 -1.94739 -1.33065 0.67603 1.97656 1.21245 -0.81814 -1.99413 -1.08714 0.95544 2.00000 0.95544 -1.08714 -1.99413 -0.81814 1.21245 1.97656 0.67603 -1.33065 -1.94739 -0.52996 1.44104 1.90679 0.38078 -1.54298 -1.85500 -0.22937 1.63586 1.79233 0.07661 -1.71914 ... ... ..... ....... ......... ........... ............. E22 * 2.00000 0.86448 -1.25268 -1.94739 -0.43080 1.57497 1.79233 -0.02554 -1.81441 -1.54298 0.48054 1.95839 1.21245 -0.91026 -1.99935 -0.81814 1.29209 1.93512 0.38078 -1.60594 -1.76908 0.07661 1.83531 1.50998 -0.52996 -1.96812 -1.17143 0.95544 1.99739 0.77126 -1.33065 -1.92158 -0.33052 1.63586 1.74468 -0.12762 -1.85500 -1.47599 0.57904 1.97656 1.12965 -1.00000 -1.99413 -0.72388 1.36835 1.90679 0.28003 -1.66471 -1.71914 0.17855 1.87349 1.44104 -0.62774 -1.98371 -1.08714 1.04391 1.98957 0.67603 -1.40515 -1.89076 -0.22937 1.69248 ... ... ..... ....... ......... ........... ............. E23 * 2.00000 0.77126 -1.40515 -1.85500 -0.02554 1.83531 1.44104 -0.72388 -1.99935 -0.81814 1.36835 1.87349 0.07661 -1.81441 -1.47599 0.67603 1.99739 0.86448 -1.33065 -1.89076 -0.12762 1.79233 1.50998 -0.62774 -1.99413 -0.91026 1.29209 1.90679 0.17855 -1.76908 -1.54298 0.57904 1.98957 0.95544 -1.25268 -1.92158 -0.22937 1.74468 1.57497 -0.52996 -1.98371 -1.00000 1.21245 1.93512 0.28003 -1.71914 -1.60594 0.48054 1.97656 1.04391 -1.17143 -1.94739 -0.33052 1.69248 1.63586 -0.43080 -1.96812 -1.08714 1.12965 1.95839 0.38078 -1.66471 ... ... ..... ....... ......... ........... ............. E24 * 2.00000 0.67603 -1.54298 -1.71914 0.38078 1.97656 0.95544 -1.33065 -1.85500 0.07661 1.90679 1.21245 -1.08714 -1.94739 -0.22937 1.79233 1.44104 -0.81814 -1.99413 -0.52996 1.63586 1.63586 -0.52996 -1.99413 -0.81814 1.44104 1.79233 -0.22937 -1.94739 -1.08714 1.21245 1.90679 0.07661 -1.85500 -1.33065 0.95544 1.97656 0.38078 -1.71914 -1.54298 0.67603 2.00000 0.67603 -1.54298 -1.71914 0.38078 1.97656 0.95544 -1.33065 -1.85500 0.07661 1.90679 1.21245 -1.08714 -1.94739 -0.22937 1.79233 1.44104 -0.81814 -1.99413 -0.52996 1.63586 ... ... ..... ....... ......... ........... ............. E25 * 2.00000 0.57904 -1.66471 -1.54298 0.77126 1.98957 0.38078 -1.76908 -1.40515 0.95544 1.95839 0.17855 -1.85500 -1.25268 1.12965 1.90679 -0.02554 -1.92158 -1.08714 1.29209 1.83531 -0.22937 -1.96812 -0.91026 1.44104 1.74468 -0.43080 -1.99413 -0.72388 1.57497 1.63586 -0.62774 -1.99935 -0.52996 1.69248 1.50998 -0.81814 -1.98371 -0.33052 1.79233 1.36835 -1.00000 -1.94739 -0.12762 1.87349 1.21245 -1.17143 -1.89076 0.07661 1.93512 1.04391 -1.33065 -1.81441 0.28003 1.97656 0.86448 -1.47599 -1.71914 0.48054 1.99739 0.67603 -1.60594 ... ... ..... ....... ......... ........... ............. E26 * 2.00000 0.48054 -1.76908 -1.33065 1.12965 1.87349 -0.22937 -1.98371 -0.72388 1.63586 1.50998 -0.91026 -1.94739 -0.02554 1.93512 0.95544 -1.47599 -1.66471 0.67603 1.98957 0.28003 -1.85500 -1.17143 1.29209 1.79233 -0.43080 -1.99935 -0.52996 1.74468 1.36835 -1.08714 -1.89076 0.17855 1.97656 0.77126 -1.60594 -1.54298 0.86448 1.95839 0.07661 -1.92158 -1.00000 1.44104 1.69248 -0.62774 -1.99413 -0.33052 1.83531 1.21245 -1.25268 -1.81441 0.38078 1.99739 0.57904 -1.71914 -1.40515 1.04391 1.90679 -0.12762 -1.96812 -0.81814 1.57497 ... ... ..... ....... ......... ........... ............. E27 * 2.00000 0.38078 -1.85500 -1.08714 1.44104 1.63586 -0.81814 -1.94739 0.07661 1.97656 0.67603 -1.71914 -1.33065 1.21245 1.79233 -0.52996 -1.99413 -0.22937 1.90679 0.95544 -1.54298 -1.54298 0.95544 1.90679 -0.22937 -1.99413 -0.52996 1.79233 1.21245 -1.33065 -1.71914 0.67603 1.97656 0.07661 -1.94739 -0.81814 1.63586 1.44104 -1.08714 -1.85500 0.38078 2.00000 0.38078 -1.85500 -1.08714 1.44104 1.63586 -0.81814 -1.94739 0.07661 1.97656 0.67603 -1.71914 -1.33065 1.21245 1.79233 -0.52996 -1.99413 -0.22937 1.90679 0.95544 -1.54298 ... ... ..... ....... ......... ........... ............. E28 * 2.00000 0.28003 -1.92158 -0.81814 1.69248 1.29209 -1.33065 -1.66471 0.86448 1.90679 -0.33052 -1.99935 -0.22937 1.93512 0.77126 -1.71914 -1.25268 1.36835 1.63586 -0.91026 -1.89076 0.38078 1.99739 0.17855 -1.94739 -0.72388 1.74468 1.21245 -1.40515 -1.60594 0.95544 1.87349 -0.43080 -1.99413 -0.12762 1.95839 0.67603 -1.76908 -1.17143 1.44104 1.57497 -1.00000 -1.85500 0.48054 1.98957 0.07661 -1.96812 -0.62774 1.79233 1.12965 -1.47599 -1.54298 1.04391 1.83531 -0.52996 -1.98371 -0.02554 1.97656 0.57904 -1.81441 -1.08714 1.50998 ... ... ..... ....... ......... ........... ............. E29 * 2.00000 0.17855 -1.96812 -0.52996 1.87349 0.86448 -1.71914 -1.17143 1.50998 1.44104 -1.25268 -1.66471 0.95544 1.83531 -0.62774 -1.94739 0.28003 1.99739 0.07661 -1.98371 -0.43080 1.90679 0.77126 -1.76908 -1.08714 1.57497 1.36835 -1.33065 -1.60594 1.04391 1.79233 -0.72388 -1.92158 0.38078 1.98957 -0.02554 -1.99413 -0.33052 1.93512 0.67603 -1.81441 -1.00000 1.63586 1.29209 -1.40515 -1.54298 1.12965 1.74468 -0.81814 -1.89076 0.48054 1.97656 -0.12762 -1.99935 -0.22937 1.95839 0.57904 -1.85500 -0.91026 1.69248 1.21245 -1.47599 ... ... ..... ....... ......... ........... ............. E30 * 2.00000 0.07661 -1.99413 -0.22937 1.97656 0.38078 -1.94739 -0.52996 1.90679 0.67603 -1.85500 -0.81814 1.79233 0.95544 -1.71914 -1.08714 1.63586 1.21245 -1.54298 -1.33065 1.44104 1.44104 -1.33065 -1.54298 1.21245 1.63586 -1.08714 -1.71914 0.95544 1.79233 -0.81814 -1.85500 0.67603 1.90679 -0.52996 -1.94739 0.38078 1.97656 -0.22937 -1.99413 0.07661 2.00000 0.07661 -1.99413 -0.22937 1.97656 0.38078 -1.94739 -0.52996 1.90679 0.67603 -1.85500 -0.81814 1.79233 0.95544 -1.71914 -1.08714 1.63586 1.21245 -1.54298 -1.33065 1.44104 ... ... ..... ....... ......... ........... ............. E31 * 2.00000 -0.02554 -1.99935 0.07661 1.99739 -0.12762 -1.99413 0.17855 1.98957 -0.22937 -1.98371 0.28003 1.97656 -0.33052 -1.96812 0.38078 1.95839 -0.43080 -1.94739 0.48054 1.93512 -0.52996 -1.92158 0.57904 1.90679 -0.62774 -1.89076 0.67603 1.87349 -0.72388 -1.85500 0.77126 1.83531 -0.81814 -1.81441 0.86448 1.79233 -0.91026 -1.76908 0.95544 1.74468 -1.00000 -1.71914 1.04391 1.69248 -1.08714 -1.66471 1.12965 1.63586 -1.17143 -1.60594 1.21245 1.57497 -1.25268 -1.54298 1.29209 1.50998 -1.33065 -1.47599 1.36835 1.44104 -1.40515 ... ... ..... ....... ......... ........... ............. E32 * 2.00000 -0.12762 -1.98371 0.38078 1.93512 -0.62774 -1.85500 0.86448 1.74468 -1.08714 -1.60594 1.29209 1.44104 -1.47599 -1.25268 1.63586 1.04391 -1.76908 -0.81814 1.87349 0.57904 -1.94739 -0.33052 1.98957 0.07661 -1.99935 0.17855 1.97656 -0.43080 -1.92158 0.67603 1.83531 -0.91026 -1.71914 1.12965 1.57497 -1.33065 -1.40515 1.50998 1.21245 -1.66471 -1.00000 1.79233 0.77126 -1.89076 -0.52996 1.95839 0.28003 -1.99413 -0.02554 1.99739 -0.22937 -1.96812 0.48054 1.90679 -0.72388 -1.81441 0.95544 1.69248 -1.17143 -1.54298 1.36835 ... ... ..... ....... ......... ........... ............. E33 * 2.00000 -0.22937 -1.94739 0.67603 1.79233 -1.08714 -1.54298 1.44104 1.21245 -1.71914 -0.81814 1.90679 0.38078 -1.99413 0.07661 1.97656 -0.52996 -1.85500 0.95544 1.63586 -1.33065 -1.33065 1.63586 0.95544 -1.85500 -0.52996 1.97656 0.07661 -1.99413 0.38078 1.90679 -0.81814 -1.71914 1.21245 1.44104 -1.54298 -1.08714 1.79233 0.67603 -1.94739 -0.22937 2.00000 -0.22937 -1.94739 0.67603 1.79233 -1.08714 -1.54298 1.44104 1.21245 -1.71914 -0.81814 1.90679 0.38078 -1.99413 0.07661 1.97656 -0.52996 -1.85500 0.95544 1.63586 -1.33065 ... ... ..... ....... ......... ........... ............. E34 * 2.00000 -0.33052 -1.89076 0.95544 1.57497 -1.47599 -1.08714 1.83531 0.48054 -1.99413 0.17855 1.93512 -0.81814 -1.66471 1.36835 1.21245 -1.76908 -0.62774 1.97656 -0.02554 -1.96812 0.67603 1.74468 -1.25268 -1.33065 1.69248 0.77126 -1.94739 -0.12762 1.98957 -0.52996 -1.81441 1.12965 1.44104 -1.60594 -0.91026 1.90679 0.28003 -1.99935 0.38078 1.87349 -1.00000 -1.54298 1.50998 1.04391 -1.85500 -0.43080 1.99739 -0.22937 -1.92158 0.86448 1.63586 -1.40515 -1.17143 1.79233 0.57904 -1.98371 0.07661 1.95839 -0.72388 -1.71914 1.29209 ... ... ..... ....... ......... ........... ............. E35 * 2.00000 -0.43080 -1.81441 1.21245 1.29209 -1.76908 -0.52996 1.99739 -0.33052 -1.85500 1.12965 1.36835 -1.71914 -0.62774 1.98957 -0.22937 -1.89076 1.04391 1.44104 -1.66471 -0.72388 1.97656 -0.12762 -1.92158 0.95544 1.50998 -1.60594 -0.81814 1.95839 -0.02554 -1.94739 0.86448 1.57497 -1.54298 -0.91026 1.93512 0.07661 -1.96812 0.77126 1.63586 -1.47599 -1.00000 1.90679 0.17855 -1.98371 0.67603 1.69248 -1.40515 -1.08714 1.87349 0.28003 -1.99413 0.57904 1.74468 -1.33065 -1.17143 1.83531 0.38078 -1.99935 0.48054 1.79233 -1.25268 ... ... ..... ....... ......... ........... ............. E36 * 2.00000 -0.52996 -1.71914 1.44104 0.95544 -1.94739 0.07661 1.90679 -1.08714 -1.33065 1.79233 0.38078 -1.99413 0.67603 1.63586 -1.54298 -0.81814 1.97656 -0.22937 -1.85500 1.21245 1.21245 -1.85500 -0.22937 1.97656 -0.81814 -1.54298 1.63586 0.67603 -1.99413 0.38078 1.79233 -1.33065 -1.08714 1.90679 0.07661 -1.94739 0.95544 1.44104 -1.71914 -0.52996 2.00000 -0.52996 -1.71914 1.44104 0.95544 -1.94739 0.07661 1.90679 -1.08714 -1.33065 1.79233 0.38078 -1.99413 0.67603 1.63586 -1.54298 -0.81814 1.97656 -0.22937 -1.85500 1.21245 ... ... ..... ....... ......... ........... ............. E37 * 2.00000 -0.62774 -1.60594 1.63586 0.57904 -1.99935 0.67603 1.57497 -1.66471 -0.52996 1.99739 -0.72388 -1.54298 1.69248 0.48054 -1.99413 0.77126 1.50998 -1.71914 -0.43080 1.98957 -0.81814 -1.47599 1.74468 0.38078 -1.98371 0.86448 1.44104 -1.76908 -0.33052 1.97656 -0.91026 -1.40515 1.79233 0.28003 -1.96812 0.95544 1.36835 -1.81441 -0.22937 1.95839 -1.00000 -1.33065 1.83531 0.17855 -1.94739 1.04391 1.29209 -1.85500 -0.12762 1.93512 -1.08714 -1.25268 1.87349 0.07661 -1.92158 1.12965 1.21245 -1.89076 -0.02554 1.90679 -1.17143 ... ... ..... ....... ......... ........... ............. E38 * 2.00000 -0.72388 -1.47599 1.79233 0.17855 -1.92158 1.21245 1.04391 -1.96812 0.38078 1.69248 -1.60594 -0.52996 1.98957 -0.91026 -1.33065 1.87349 -0.02554 -1.85500 1.36835 0.86448 -1.99413 0.57904 1.57497 -1.71914 -0.33052 1.95839 -1.08714 -1.17143 1.93512 -0.22937 -1.76908 1.50998 0.67603 -1.99935 0.77126 1.44104 -1.81441 -0.12762 1.90679 -1.25268 -1.00000 1.97656 -0.43080 -1.66471 1.63586 0.48054 -1.98371 0.95544 1.29209 -1.89076 0.07661 1.83531 -1.40515 -0.81814 1.99739 -0.62774 -1.54298 1.74468 0.28003 -1.94739 1.12965 ... ... ..... ....... ......... ........... ............. E39 * 2.00000 -0.81814 -1.33065 1.90679 -0.22937 -1.71914 1.63586 0.38078 -1.94739 1.21245 0.95544 -1.99413 0.67603 1.44104 -1.85500 0.07661 1.79233 -1.54298 -0.52996 1.97656 -1.08714 -1.08714 1.97656 -0.52996 -1.54298 1.79233 0.07661 -1.85500 1.44104 0.67603 -1.99413 0.95544 1.21245 -1.94739 0.38078 1.63586 -1.71914 -0.22937 1.90679 -1.33065 -0.81814 2.00000 -0.81814 -1.33065 1.90679 -0.22937 -1.71914 1.63586 0.38078 -1.94739 1.21245 0.95544 -1.99413 0.67603 1.44104 -1.85500 0.07661 1.79233 -1.54298 -0.52996 1.97656 -1.08714 ... ... ..... ....... ......... ........... ............. E40 * 2.00000 -0.91026 -1.17143 1.97656 -0.62774 -1.40515 1.90679 -0.33052 -1.60594 1.79233 -0.02554 -1.76908 1.63586 0.28003 -1.89076 1.44104 0.57904 -1.96812 1.21245 0.86448 -1.99935 0.95544 1.12965 -1.98371 0.67603 1.36835 -1.92158 0.38078 1.57497 -1.81441 0.07661 1.74468 -1.66471 -0.22937 1.87349 -1.47599 -0.52996 1.95839 -1.25268 -0.81814 1.99739 -1.00000 -1.08714 1.98957 -0.72388 -1.33065 1.93512 -0.43080 -1.54298 1.83531 -0.12762 -1.71914 1.69248 0.17855 -1.85500 1.50998 0.48054 -1.94739 1.29209 0.77126 -1.99413 1.04391 ... ... ..... ....... ......... ........... ............. E41 * 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 ... ... ..... ....... ......... ........... ............. E42 * 2.00000 -1.08714 -0.81814 1.97656 -1.33065 -0.52996 1.90679 -1.54298 -0.22937 1.79233 -1.71914 0.07661 1.63586 -1.85500 0.38078 1.44104 -1.94739 0.67603 1.21245 -1.99413 0.95544 0.95544 -1.99413 1.21245 0.67603 -1.94739 1.44104 0.38078 -1.85500 1.63586 0.07661 -1.71914 1.79233 -0.22937 -1.54298 1.90679 -0.52996 -1.33065 1.97656 -0.81814 -1.08714 2.00000 -1.08714 -0.81814 1.97656 -1.33065 -0.52996 1.90679 -1.54298 -0.22937 1.79233 -1.71914 0.07661 1.63586 -1.85500 0.38078 1.44104 -1.94739 0.67603 1.21245 -1.99413 0.95544 ... ... ..... ....... ......... ........... ............. E43 * 2.00000 -1.17143 -0.62774 1.90679 -1.60594 -0.02554 1.63586 -1.89076 0.57904 1.21245 -1.99935 1.12965 0.67603 -1.92158 1.57497 0.07661 -1.66471 1.87349 -0.52996 -1.25268 1.99739 -1.08714 -0.72388 1.93512 -1.54298 -0.12762 1.69248 -1.85500 0.48054 1.29209 -1.99413 1.04391 0.77126 -1.94739 1.50998 0.17855 -1.71914 1.83531 -0.43080 -1.33065 1.98957 -1.00000 -0.81814 1.95839 -1.47599 -0.22937 1.74468 -1.81441 0.38078 1.36835 -1.98371 0.95544 0.86448 -1.96812 1.44104 0.28003 -1.76908 1.79233 -0.33052 -1.40515 1.97656 -0.91026 ... ... ..... ....... ......... ........... ............. E44 * 2.00000 -1.25268 -0.43080 1.79233 -1.81441 0.48054 1.21245 -1.99935 1.29209 0.38078 -1.76908 1.83531 -0.52996 -1.17143 1.99739 -1.33065 -0.33052 1.74468 -1.85500 0.57904 1.12965 -1.99413 1.36835 0.28003 -1.71914 1.87349 -0.62774 -1.08714 1.98957 -1.40515 -0.22937 1.69248 -1.89076 0.67603 1.04391 -1.98371 1.44104 0.17855 -1.66471 1.90679 -0.72388 -1.00000 1.97656 -1.47599 -0.12762 1.63586 -1.92158 0.77126 0.95544 -1.96812 1.50998 0.07661 -1.60594 1.93512 -0.81814 -0.91026 1.95839 -1.54298 -0.02554 1.57497 -1.94739 0.86448 ... ... ..... ....... ......... ........... ............. E45 * 2.00000 -1.33065 -0.22937 1.63586 -1.94739 0.95544 0.67603 -1.85500 1.79233 -0.52996 -1.08714 1.97656 -1.54298 0.07661 1.44104 -1.99413 1.21245 0.38078 -1.71914 1.90679 -0.81814 -0.81814 1.90679 -1.71914 0.38078 1.21245 -1.99413 1.44104 0.07661 -1.54298 1.97656 -1.08714 -0.52996 1.79233 -1.85500 0.67603 0.95544 -1.94739 1.63586 -0.22937 -1.33065 2.00000 -1.33065 -0.22937 1.63586 -1.94739 0.95544 0.67603 -1.85500 1.79233 -0.52996 -1.08714 1.97656 -1.54298 0.07661 1.44104 -1.99413 1.21245 0.38078 -1.71914 1.90679 -0.81814 ... ... ..... ....... ......... ........... ............. E46 * 2.00000 -1.40515 -0.02554 1.44104 -1.99935 1.36835 0.07661 -1.47599 1.99739 -1.33065 -0.12762 1.50998 -1.99413 1.29209 0.17855 -1.54298 1.98957 -1.25268 -0.22937 1.57497 -1.98371 1.21245 0.28003 -1.60594 1.97656 -1.17143 -0.33052 1.63586 -1.96812 1.12965 0.38078 -1.66471 1.95839 -1.08714 -0.43080 1.69248 -1.94739 1.04391 0.48054 -1.71914 1.93512 -1.00000 -0.52996 1.74468 -1.92158 0.95544 0.57904 -1.76908 1.90679 -0.91026 -0.62774 1.79233 -1.89076 0.86448 0.67603 -1.81441 1.87349 -0.81814 -0.72388 1.83531 -1.85500 0.77126 ... ... ..... ....... ......... ........... ............. E47 * 2.00000 -1.47599 0.17855 1.21245 -1.96812 1.69248 -0.52996 -0.91026 1.87349 -1.85500 0.86448 0.57904 -1.71914 1.95839 -1.17143 -0.22937 1.50998 -1.99935 1.44104 -0.12762 -1.25268 1.97656 -1.66471 0.48054 0.95544 -1.89076 1.83531 -0.81814 -0.62774 1.74468 -1.94739 1.12965 0.28003 -1.54298 1.99739 -1.40515 0.07661 1.29209 -1.98371 1.63586 -0.43080 -1.00000 1.90679 -1.81441 0.77126 0.67603 -1.76908 1.93512 -1.08714 -0.33052 1.57497 -1.99413 1.36835 -0.02554 -1.33065 1.98957 -1.60594 0.38078 1.04391 -1.92158 1.79233 -0.72388 ... ... ..... ....... ......... ........... ............. E48 * 2.00000 -1.54298 0.38078 0.95544 -1.85500 1.90679 -1.08714 -0.22937 1.44104 -1.99413 1.63586 -0.52996 -0.81814 1.79233 -1.94739 1.21245 0.07661 -1.33065 1.97656 -1.71914 0.67603 0.67603 -1.71914 1.97656 -1.33065 0.07661 1.21245 -1.94739 1.79233 -0.81814 -0.52996 1.63586 -1.99413 1.44104 -0.22937 -1.08714 1.90679 -1.85500 0.95544 0.38078 -1.54298 2.00000 -1.54298 0.38078 0.95544 -1.85500 1.90679 -1.08714 -0.22937 1.44104 -1.99413 1.63586 -0.52996 -0.81814 1.79233 -1.94739 1.21245 0.07661 -1.33065 1.97656 -1.71914 0.67603 ... ... ..... ....... ......... ........... ............. E49 * 2.00000 -1.60594 0.57904 0.67603 -1.66471 1.99739 -1.54298 0.48054 0.77126 -1.71914 1.98957 -1.47599 0.38078 0.86448 -1.76908 1.97656 -1.40515 0.28003 0.95544 -1.81441 1.95839 -1.33065 0.17855 1.04391 -1.85500 1.93512 -1.25268 0.07661 1.12965 -1.89076 1.90679 -1.17143 -0.02554 1.21245 -1.92158 1.87349 -1.08714 -0.12762 1.29209 -1.94739 1.83531 -1.00000 -0.22937 1.36835 -1.96812 1.79233 -0.91026 -0.33052 1.44104 -1.98371 1.74468 -0.81814 -0.43080 1.50998 -1.99413 1.69248 -0.72388 -0.52996 1.57497 -1.99935 1.63586 -0.62774 ... ... ..... ....... ......... ........... ............. E50 * 2.00000 -1.66471 0.77126 0.38078 -1.40515 1.95839 -1.85500 1.12965 -0.02554 -1.08714 1.83531 -1.96812 1.44104 -0.43080 -0.72388 1.63586 -1.99935 1.69248 -0.81814 -0.33052 1.36835 -1.94739 1.87349 -1.17143 0.07661 1.04391 -1.81441 1.97656 -1.47599 0.48054 0.67603 -1.60594 1.99739 -1.71914 0.86448 0.28003 -1.33065 1.93512 -1.89076 1.21245 -0.12762 -1.00000 1.79233 -1.98371 1.50998 -0.52996 -0.62774 1.57497 -1.99413 1.74468 -0.91026 -0.22937 1.29209 -1.92158 1.90679 -1.25268 0.17855 0.95544 -1.76908 1.98957 -1.54298 0.57904 ... ... ..... ....... ......... ........... ............. E51 * 2.00000 -1.71914 0.95544 0.07661 -1.08714 1.79233 -1.99413 1.63586 -0.81814 -0.22937 1.21245 -1.85500 1.97656 -1.54298 0.67603 0.38078 -1.33065 1.90679 -1.94739 1.44104 -0.52996 -0.52996 1.44104 -1.94739 1.90679 -1.33065 0.38078 0.67603 -1.54298 1.97656 -1.85500 1.21245 -0.22937 -0.81814 1.63586 -1.99413 1.79233 -1.08714 0.07661 0.95544 -1.71914 2.00000 -1.71914 0.95544 0.07661 -1.08714 1.79233 -1.99413 1.63586 -0.81814 -0.22937 1.21245 -1.85500 1.97656 -1.54298 0.67603 0.38078 -1.33065 1.90679 -1.94739 1.44104 -0.52996 ... ... ..... ....... ......... ........... ............. E52 * 2.00000 -1.76908 1.12965 -0.22937 -0.72388 1.50998 -1.94739 1.93512 -1.47599 0.67603 0.28003 -1.17143 1.79233 -1.99935 1.74468 -1.08714 0.17855 0.77126 -1.54298 1.95839 -1.92158 1.44104 -0.62774 -0.33052 1.21245 -1.81441 1.99739 -1.71914 1.04391 -0.12762 -0.81814 1.57497 -1.96812 1.90679 -1.40515 0.57904 0.38078 -1.25268 1.83531 -1.99413 1.69248 -1.00000 0.07661 0.86448 -1.60594 1.97656 -1.89076 1.36835 -0.52996 -0.43080 1.29209 -1.85500 1.98957 -1.66471 0.95544 -0.02554 -0.91026 1.63586 -1.98371 1.87349 -1.33065 0.48054 ... ... ..... ....... ......... ........... ............. E53 * 2.00000 -1.81441 1.29209 -0.52996 -0.33052 1.12965 -1.71914 1.98957 -1.89076 1.44104 -0.72388 -0.12762 0.95544 -1.60594 1.95839 -1.94739 1.57497 -0.91026 0.07661 0.77126 -1.47599 1.90679 -1.98371 1.69248 -1.08714 0.28003 0.57904 -1.33065 1.83531 -1.99935 1.79233 -1.25268 0.48054 0.38078 -1.17143 1.74468 -1.99413 1.87349 -1.40515 0.67603 0.17855 -1.00000 1.63586 -1.96812 1.93512 -1.54298 0.86448 -0.02554 -0.81814 1.50998 -1.92158 1.97656 -1.66471 1.04391 -0.22937 -0.62774 1.36835 -1.85500 1.99739 -1.76908 1.21245 -0.43080 ... ... ..... ....... ......... ........... ............. E54 * 2.00000 -1.85500 1.44104 -0.81814 0.07661 0.67603 -1.33065 1.79233 -1.99413 1.90679 -1.54298 0.95544 -0.22937 -0.52996 1.21245 -1.71914 1.97656 -1.94739 1.63586 -1.08714 0.38078 0.38078 -1.08714 1.63586 -1.94739 1.97656 -1.71914 1.21245 -0.52996 -0.22937 0.95544 -1.54298 1.90679 -1.99413 1.79233 -1.33065 0.67603 0.07661 -0.81814 1.44104 -1.85500 2.00000 -1.85500 1.44104 -0.81814 0.07661 0.67603 -1.33065 1.79233 -1.99413 1.90679 -1.54298 0.95544 -0.22937 -0.52996 1.21245 -1.71914 1.97656 -1.94739 1.63586 -1.08714 0.38078 ... ... ..... ....... ......... ........... ............. E55 * 2.00000 -1.89076 1.57497 -1.08714 0.48054 0.17855 -0.81814 1.36835 -1.76908 1.97656 -1.96812 1.74468 -1.33065 0.77126 -0.12762 -0.52996 1.12965 -1.60594 1.90679 -1.99935 1.87349 -1.54298 1.04391 -0.43080 -0.22937 0.86448 -1.40515 1.79233 -1.98371 1.95839 -1.71914 1.29209 -0.72388 0.07661 0.57904 -1.17143 1.63586 -1.92158 1.99739 -1.85500 1.50998 -1.00000 0.38078 0.28003 -0.91026 1.44104 -1.81441 1.98957 -1.94739 1.69248 -1.25268 0.67603 -0.02554 -0.62774 1.21245 -1.66471 1.93512 -1.99413 1.83531 -1.47599 0.95544 -0.33052 ... ... ..... ....... ......... ........... ............. E56 * 2.00000 -1.92158 1.69248 -1.33065 0.86448 -0.33052 -0.22937 0.77126 -1.25268 1.63586 -1.89076 1.99739 -1.94739 1.74468 -1.40515 0.95544 -0.43080 -0.12762 0.67603 -1.17143 1.57497 -1.85500 1.98957 -1.96812 1.79233 -1.47599 1.04391 -0.52996 -0.02554 0.57904 -1.08714 1.50998 -1.81441 1.97656 -1.98371 1.83531 -1.54298 1.12965 -0.62774 0.07661 0.48054 -1.00000 1.44104 -1.76908 1.95839 -1.99413 1.87349 -1.60594 1.21245 -0.72388 0.17855 0.38078 -0.91026 1.36835 -1.71914 1.93512 -1.99935 1.90679 -1.66471 1.29209 -0.81814 0.28003 ... ... ..... ....... ......... ........... ............. E57 * 2.00000 -1.94739 1.79233 -1.54298 1.21245 -0.81814 0.38078 0.07661 -0.52996 0.95544 -1.33065 1.63586 -1.85500 1.97656 -1.99413 1.90679 -1.71914 1.44104 -1.08714 0.67603 -0.22937 -0.22937 0.67603 -1.08714 1.44104 -1.71914 1.90679 -1.99413 1.97656 -1.85500 1.63586 -1.33065 0.95544 -0.52996 0.07661 0.38078 -0.81814 1.21245 -1.54298 1.79233 -1.94739 2.00000 -1.94739 1.79233 -1.54298 1.21245 -0.81814 0.38078 0.07661 -0.52996 0.95544 -1.33065 1.63586 -1.85500 1.97656 -1.99413 1.90679 -1.71914 1.44104 -1.08714 0.67603 -0.22937 ... ... ..... ....... ......... ........... ............. E58 * 2.00000 -1.96812 1.87349 -1.71914 1.50998 -1.25268 0.95544 -0.62774 0.28003 0.07661 -0.43080 0.77126 -1.08714 1.36835 -1.60594 1.79233 -1.92158 1.98957 -1.99413 1.93512 -1.81441 1.63586 -1.40515 1.12965 -0.81814 0.48054 -0.12762 -0.22937 0.57904 -0.91026 1.21245 -1.47599 1.69248 -1.85500 1.95839 -1.99935 1.97656 -1.89076 1.74468 -1.54298 1.29209 -1.00000 0.67603 -0.33052 -0.02554 0.38078 -0.72388 1.04391 -1.33065 1.57497 -1.76908 1.90679 -1.98371 1.99739 -1.94739 1.83531 -1.66471 1.44104 -1.17143 0.86448 -0.52996 0.17855 ... ... ..... ....... ......... ........... ............. E59 * 2.00000 -1.98371 1.93512 -1.85500 1.74468 -1.60594 1.44104 -1.25268 1.04391 -0.81814 0.57904 -0.33052 0.07661 0.17855 -0.43080 0.67603 -0.91026 1.12965 -1.33065 1.50998 -1.66471 1.79233 -1.89076 1.95839 -1.99413 1.99739 -1.96812 1.90679 -1.81441 1.69248 -1.54298 1.36835 -1.17143 0.95544 -0.72388 0.48054 -0.22937 -0.02554 0.28003 -0.52996 0.77126 -1.00000 1.21245 -1.40515 1.57497 -1.71914 1.83531 -1.92158 1.97656 -1.99935 1.98957 -1.94739 1.87349 -1.76908 1.63586 -1.47599 1.29209 -1.08714 0.86448 -0.62774 0.38078 -0.12762 ... ... ..... ....... ......... ........... ............. E60 * 2.00000 -1.99413 1.97656 -1.94739 1.90679 -1.85500 1.79233 -1.71914 1.63586 -1.54298 1.44104 -1.33065 1.21245 -1.08714 0.95544 -0.81814 0.67603 -0.52996 0.38078 -0.22937 0.07661 0.07661 -0.22937 0.38078 -0.52996 0.67603 -0.81814 0.95544 -1.08714 1.21245 -1.33065 1.44104 -1.54298 1.63586 -1.71914 1.79233 -1.85500 1.90679 -1.94739 1.97656 -1.99413 2.00000 -1.99413 1.97656 -1.94739 1.90679 -1.85500 1.79233 -1.71914 1.63586 -1.54298 1.44104 -1.33065 1.21245 -1.08714 0.95544 -0.81814 0.67603 -0.52996 0.38078 -0.22937 0.07661 ... ... ..... ....... ......... ........... ............. E61 * 2.00000 -1.99935 1.99739 -1.99413 1.98957 -1.98371 1.97656 -1.96812 1.95839 -1.94739 1.93512 -1.92158 1.90679 -1.89076 1.87349 -1.85500 1.83531 -1.81441 1.79233 -1.76908 1.74468 -1.71914 1.69248 -1.66471 1.63586 -1.60594 1.57497 -1.54298 1.50998 -1.47599 1.44104 -1.40515 1.36835 -1.33065 1.29209 -1.25268 1.21245 -1.17143 1.12965 -1.08714 1.04391 -1.00000 0.95544 -0.91026 0.86448 -0.81814 0.77126 -0.72388 0.67603 -0.62774 0.57904 -0.52996 0.48054 -0.43080 0.38078 -0.33052 0.28003 -0.22937 0.17855 -0.12762 0.07661 -0.02554 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.997391114178 = 2*cos(2*π/123) 1.989571262999 = 2*cos(4*π/123) 1.976560847561 = 2*cos(6*π/123) = 2*cos(2*π/41) 1.958393810552 = 2*cos(8*π/123) 1.935117547697 = 2*cos(10*π/123) 1.906792784110 = 2*cos(12*π/123) = 2*cos(4*π/41) 1.873493415863 = 2*cos(14*π/123) 1.835306317207 = 2*cos(16*π/123) 1.792331113922 = 2*cos(18*π/123) = 2*cos(6*π/41) 1.744679923406 = 2*cos(20*π/123) 1.692477062175 = 2*cos(22*π/123) 1.635858721533 = 2*cos(24*π/123) = 2*cos(8*π/41) 1.574972612267 = 2*cos(26*π/123) 1.509977579283 = 2*cos(28*π/123) 1.441043187202 = 2*cos(30*π/123) = 2*cos(10*π/41) 1.368349277981 = 2*cos(32*π/123) 1.292085501730 = 2*cos(34*π/123) 1.212450821933 = 2*cos(36*π/123) = 2*cos(12*π/41) 1.129652996378 = 2*cos(38*π/123) 1.043908035137 = 2*cos(40*π/123) 0.955439637025 = 2*cos(42*π/123) = 2*cos(14*π/41) 0.864478605989 = 2*cos(44*π/123) 0.771262248976 = 2*cos(46*π/123) 0.676033756817 = 2*cos(48*π/123) = 2*cos(16*π/41) 0.579041569775 = 2*cos(50*π/123) 0.480538729391 = 2*cos(52*π/123) 0.380782218329 = 2*cos(54*π/123) = 2*cos(18*π/41) 0.280032289937 = 2*cos(56*π/123) 0.178551789274 = 2*cos(58*π/123) 0.076605467380 = 2*cos(60*π/123) = 2*cos(20*π/41) -0.025540709432 = 2*cos(62*π/123) -0.127620253449 = 2*cos(64*π/123) -0.229366850797 = 2*cos(66*π/123) = 2*cos(22*π/41) -0.330515056219 = 2*cos(68*π/123) -0.430800985598 = 2*cos(70*π/123) -0.529963004393 = 2*cos(72*π/123) = 2*cos(24*π/41) -0.627742410221 = 2*cos(74*π/123) -0.723884107774 = 2*cos(76*π/123) -0.818137274343 = 2*cos(78*π/123) = 2*cos(26*π/41) -0.910256014176 = 2*cos(80*π/123) -1.087135100002 = 2*cos(84*π/123) = 2*cos(28*π/41) -1.171433988656 = 2*cos(86*π/123) -1.252676739786 = 2*cos(88*π/123) -1.330651400331 = 2*cos(90*π/123) = 2*cos(30*π/41) -1.405154543304 = 2*cos(92*π/123) -1.475991798512 = 2*cos(94*π/123) -1.542978359644 = 2*cos(96*π/123) = 2*cos(32*π/41) -1.605939466410 = 2*cos(98*π/123) -1.664710860473 = 2*cos(100*π/123) -1.719139213974 = 2*cos(102*π/123) = 2*cos(34*π/41) -1.769082529555 = 2*cos(104*π/123) -1.814410510808 = 2*cos(106*π/123) -1.855004902204 = 2*cos(108*π/123) = 2*cos(36*π/41) -1.890759797612 = 2*cos(110*π/123) -1.921581916592 = 2*cos(112*π/123) -1.947390847756 = 2*cos(114*π/123) = 2*cos(38*π/41) -1.968119258547 = 2*cos(116*π/123) -1.983713070910 = 2*cos(118*π/123) -1.994131602367 = 2*cos(120*π/123) = 2*cos(40*π/41) -1.999347672162 = 2*cos(122*π/123) 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 C123 point group is 123, and the order of the principal axis (C123) is 123. The group has 62 irreducible representations. β The C123 point group is generated by one single symmetry element, C123. Therefore, it is a cyclic group. γ The lowest nonvanishing multipole moment in C123 is 2 (dipole moment). δ This is an Abelian point group (the commutative law holds between all symmetry operations). The C123 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 122 cases have been combined into 61 two-dimensional representations that are no longer irreducible but have real-valued characters. Accordingly, 61 pairs of left and right rotations have been combined into one two-membered pseudo-class each. ζ The 61 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 much 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.
C121 | ||
C122 | ||
C123 | C123v C123h D123 D123h D123d | |
C124 | ||
C125 |
This Character Table for the C123 point group was created by Gernot Katzer.
For other groups and some explanations, see the Main Page.