C127 E 2 C127 2 C127^2 2 C127^3 2 C127^4 2 C127^5 2 C127^6 2 C127^7 2 C127^8 2 C127^9 2 C127^10 2 C127^11 2 C127^12 2 C127^13 2 C127^14 2 C127^15 2 C127^16 2 C127^17 2 C127^18 2 C127^19 2 C127^20 2 C127^21 2 C127^22 2 C127^23 2 C127^24 2 C127^25 2 C127^26 2 C127^27 2 C127^28 2 C127^29 2 C127^30 2 C127^31 2 C127^32 2 C127^33 2 C127^34 2 C127^35 2 C127^36 2 C127^37 2 C127^38 2 C127^39 2 C127^40 2 C127^41 2 C127^42 2 C127^43 2 C127^44 2 C127^45 2 C127^46 2 C127^47 2 C127^48 2 C127^49 2 C127^50 2 C127^51 2 C127^52 2 C127^53 2 C127^54 2 C127^55 2 C127^56 2 C127^57 2 C127^58 2 C127^59 2 C127^60 2 C127^61 2 C127^62 2 C127^63 <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 1.00000 1.00000 ..T ..T ....T ......T ........T ..........T ............T E1 * 2.00000 1.99755 1.99022 1.97801 1.96096 1.93912 1.91253 1.88126 1.84538 1.80499 1.76019 1.71107 1.65777 1.60041 1.53913 1.47409 1.40544 1.33335 1.25800 1.17957 1.09825 1.01425 0.92776 0.83900 0.74819 0.65555 0.56131 0.46569 0.36893 0.27127 0.17294 0.07419 -0.02474 -0.12361 -0.22217 -0.32020 -0.41744 -0.51365 -0.60862 -0.70209 -0.79384 -0.88365 -0.97130 -1.05657 -1.13926 -1.21916 -1.29607 -1.36982 -1.44021 -1.50707 -1.57025 -1.62959 -1.68493 -1.73616 -1.78313 -1.82575 -1.86389 -1.89747 -1.92641 -1.95064 -1.97009 -1.98472 -1.99450 -1.99939 TT. TT. ..TT. ....TT. ......TT. ........TT. ..........TT. E2 * 2.00000 1.99022 1.96096 1.91253 1.84538 1.76019 1.65777 1.53913 1.40544 1.25800 1.09825 0.92776 0.74819 0.56131 0.36893 0.17294 -0.02474 -0.22217 -0.41744 -0.60862 -0.79384 -0.97130 -1.13926 -1.29607 -1.44021 -1.57025 -1.68493 -1.78313 -1.86389 -1.92641 -1.97009 -1.99450 -1.99939 -1.98472 -1.95064 -1.89747 -1.82575 -1.73616 -1.62959 -1.50707 -1.36982 -1.21916 -1.05657 -0.88365 -0.70209 -0.51365 -0.32020 -0.12361 0.07419 0.27127 0.46569 0.65555 0.83900 1.01425 1.17957 1.33335 1.47409 1.60041 1.71107 1.80499 1.88126 1.93912 1.97801 1.99755 ... ... TT... ..TT... ....TT... ......TT... ........TT... E3 * 2.00000 1.97801 1.91253 1.80499 1.65777 1.47409 1.25800 1.01425 0.74819 0.46569 0.17294 -0.12361 -0.41744 -0.70209 -0.97130 -1.21916 -1.44021 -1.62959 -1.78313 -1.89747 -1.97009 -1.99939 -1.98472 -1.92641 -1.82575 -1.68493 -1.50707 -1.29607 -1.05657 -0.79384 -0.51365 -0.22217 0.07419 0.36893 0.65555 0.92776 1.17957 1.40544 1.60041 1.76019 1.88126 1.96096 1.99755 1.99022 1.93912 1.84538 1.71107 1.53913 1.33335 1.09825 0.83900 0.56131 0.27127 -0.02474 -0.32020 -0.60862 -0.88365 -1.13926 -1.36982 -1.57025 -1.73616 -1.86389 -1.95064 -1.99450 ... ... ..... TT..... ..TT..... ....TT..... ......TT..... E4 * 2.00000 1.96096 1.84538 1.65777 1.40544 1.09825 0.74819 0.36893 -0.02474 -0.41744 -0.79384 -1.13926 -1.44021 -1.68493 -1.86389 -1.97009 -1.99939 -1.95064 -1.82575 -1.62959 -1.36982 -1.05657 -0.70209 -0.32020 0.07419 0.46569 0.83900 1.17957 1.47409 1.71107 1.88126 1.97801 1.99755 1.93912 1.80499 1.60041 1.33335 1.01425 0.65555 0.27127 -0.12361 -0.51365 -0.88365 -1.21916 -1.50707 -1.73616 -1.89747 -1.98472 -1.99450 -1.92641 -1.78313 -1.57025 -1.29607 -0.97130 -0.60862 -0.22217 0.17294 0.56131 0.92776 1.25800 1.53913 1.76019 1.91253 1.99022 ... ... ..... ....... TT....... ..TT....... ....TT....... E5 * 2.00000 1.93912 1.76019 1.47409 1.09825 0.65555 0.17294 -0.32020 -0.79384 -1.21916 -1.57025 -1.82575 -1.97009 -1.99450 -1.89747 -1.68493 -1.36982 -0.97130 -0.51365 -0.02474 0.46569 0.92776 1.33335 1.65777 1.88126 1.99022 1.97801 1.84538 1.60041 1.25800 0.83900 0.36893 -0.12361 -0.60862 -1.05657 -1.44021 -1.73616 -1.92641 -1.99939 -1.95064 -1.78313 -1.50707 -1.13926 -0.70209 -0.22217 0.27127 0.74819 1.17957 1.53913 1.80499 1.96096 1.99755 1.91253 1.71107 1.40544 1.01425 0.56131 0.07419 -0.41744 -0.88365 -1.29607 -1.62959 -1.86389 -1.98472 ... ... ..... ....... ......... TT......... ..TT......... E6 * 2.00000 1.91253 1.65777 1.25800 0.74819 0.17294 -0.41744 -0.97130 -1.44021 -1.78313 -1.97009 -1.98472 -1.82575 -1.50707 -1.05657 -0.51365 0.07419 0.65555 1.17957 1.60041 1.88126 1.99755 1.93912 1.71107 1.33335 0.83900 0.27127 -0.32020 -0.88365 -1.36982 -1.73616 -1.95064 -1.99450 -1.86389 -1.57025 -1.13926 -0.60862 -0.02474 0.56131 1.09825 1.53913 1.84538 1.99022 1.96096 1.76019 1.40544 0.92776 0.36893 -0.22217 -0.79384 -1.29607 -1.68493 -1.92641 -1.99939 -1.89747 -1.62959 -1.21916 -0.70209 -0.12361 0.46569 1.01425 1.47409 1.80499 1.97801 ... ... ..... ....... ......... ........... TT........... E7 * 2.00000 1.88126 1.53913 1.01425 0.36893 -0.32020 -0.97130 -1.50707 -1.86389 -1.99939 -1.89747 -1.57025 -1.05657 -0.41744 0.27127 0.92776 1.47409 1.84538 1.99755 1.91253 1.60041 1.09825 0.46569 -0.22217 -0.88365 -1.44021 -1.82575 -1.99450 -1.92641 -1.62959 -1.13926 -0.51365 0.17294 0.83900 1.40544 1.80499 1.99022 1.93912 1.65777 1.17957 0.56131 -0.12361 -0.79384 -1.36982 -1.78313 -1.98472 -1.95064 -1.68493 -1.21916 -0.60862 0.07419 0.74819 1.33335 1.76019 1.97801 1.96096 1.71107 1.25800 0.65555 -0.02474 -0.70209 -1.29607 -1.73616 -1.97009 ... ... ..... ....... ......... ........... ............. E8 * 2.00000 1.84538 1.40544 0.74819 -0.02474 -0.79384 -1.44021 -1.86389 -1.99939 -1.82575 -1.36982 -0.70209 0.07419 0.83900 1.47409 1.88126 1.99755 1.80499 1.33335 0.65555 -0.12361 -0.88365 -1.50707 -1.89747 -1.99450 -1.78313 -1.29607 -0.60862 0.17294 0.92776 1.53913 1.91253 1.99022 1.76019 1.25800 0.56131 -0.22217 -0.97130 -1.57025 -1.92641 -1.98472 -1.73616 -1.21916 -0.51365 0.27127 1.01425 1.60041 1.93912 1.97801 1.71107 1.17957 0.46569 -0.32020 -1.05657 -1.62959 -1.95064 -1.97009 -1.68493 -1.13926 -0.41744 0.36893 1.09825 1.65777 1.96096 ... ... ..... ....... ......... ........... ............. E9 * 2.00000 1.80499 1.25800 0.46569 -0.41744 -1.21916 -1.78313 -1.99939 -1.82575 -1.29607 -0.51365 0.36893 1.17957 1.76019 1.99755 1.84538 1.33335 0.56131 -0.32020 -1.13926 -1.73616 -1.99450 -1.86389 -1.36982 -0.60862 0.27127 1.09825 1.71107 1.99022 1.88126 1.40544 0.65555 -0.22217 -1.05657 -1.68493 -1.98472 -1.89747 -1.44021 -0.70209 0.17294 1.01425 1.65777 1.97801 1.91253 1.47409 0.74819 -0.12361 -0.97130 -1.62959 -1.97009 -1.92641 -1.50707 -0.79384 0.07419 0.92776 1.60041 1.96096 1.93912 1.53913 0.83900 -0.02474 -0.88365 -1.57025 -1.95064 ... ... ..... ....... ......... ........... ............. E10 * 2.00000 1.76019 1.09825 0.17294 -0.79384 -1.57025 -1.97009 -1.89747 -1.36982 -0.51365 0.46569 1.33335 1.88126 1.97801 1.60041 0.83900 -0.12361 -1.05657 -1.73616 -1.99939 -1.78313 -1.13926 -0.22217 0.74819 1.53913 1.96096 1.91253 1.40544 0.56131 -0.41744 -1.29607 -1.86389 -1.98472 -1.62959 -0.88365 0.07419 1.01425 1.71107 1.99755 1.80499 1.17957 0.27127 -0.70209 -1.50707 -1.95064 -1.92641 -1.44021 -0.60862 0.36893 1.25800 1.84538 1.99022 1.65777 0.92776 -0.02474 -0.97130 -1.68493 -1.99450 -1.82575 -1.21916 -0.32020 0.65555 1.47409 1.93912 ... ... ..... ....... ......... ........... ............. E11 * 2.00000 1.71107 0.92776 -0.12361 -1.13926 -1.82575 -1.98472 -1.57025 -0.70209 0.36893 1.33335 1.91253 1.93912 1.40544 0.46569 -0.60862 -1.50707 -1.97009 -1.86389 -1.21916 -0.22217 0.83900 1.65777 1.99755 1.76019 1.01425 -0.02474 -1.05657 -1.78313 -1.99450 -1.62959 -0.79384 0.27127 1.25800 1.88126 1.96096 1.47409 0.56131 -0.51365 -1.44021 -1.95064 -1.89747 -1.29607 -0.32020 0.74819 1.60041 1.99022 1.80499 1.09825 0.07419 -0.97130 -1.73616 -1.99939 -1.68493 -0.88365 0.17294 1.17957 1.84538 1.97801 1.53913 0.65555 -0.41744 -1.36982 -1.92641 ... ... ..... ....... ......... ........... ............. E12 * 2.00000 1.65777 0.74819 -0.41744 -1.44021 -1.97009 -1.82575 -1.05657 0.07419 1.17957 1.88126 1.93912 1.33335 0.27127 -0.88365 -1.73616 -1.99450 -1.57025 -0.60862 0.56131 1.53913 1.99022 1.76019 0.92776 -0.22217 -1.29607 -1.92641 -1.89747 -1.21916 -0.12361 1.01425 1.80499 1.97801 1.47409 0.46569 -0.70209 -1.62959 -1.99939 -1.68493 -0.79384 0.36893 1.40544 1.96096 1.84538 1.09825 -0.02474 -1.13926 -1.86389 -1.95064 -1.36982 -0.32020 0.83900 1.71107 1.99755 1.60041 0.65555 -0.51365 -1.50707 -1.98472 -1.78313 -0.97130 0.17294 1.25800 1.91253 ... ... ..... ....... ......... ........... ............. E13 * 2.00000 1.60041 0.56131 -0.70209 -1.68493 -1.99450 -1.50707 -0.41744 0.83900 1.76019 1.97801 1.40544 0.27127 -0.97130 -1.82575 -1.95064 -1.29607 -0.12361 1.09825 1.88126 1.91253 1.17957 -0.02474 -1.21916 -1.92641 -1.86389 -1.05657 0.17294 1.33335 1.96096 1.80499 0.92776 -0.32020 -1.44021 -1.98472 -1.73616 -0.79384 0.46569 1.53913 1.99755 1.65777 0.65555 -0.60862 -1.62959 -1.99939 -1.57025 -0.51365 0.74819 1.71107 1.99022 1.47409 0.36893 -0.88365 -1.78313 -1.97009 -1.36982 -0.22217 1.01425 1.84538 1.93912 1.25800 0.07419 -1.13926 -1.89747 ... ... ..... ....... ......... ........... ............. E14 * 2.00000 1.53913 0.36893 -0.97130 -1.86389 -1.89747 -1.05657 0.27127 1.47409 1.99755 1.60041 0.46569 -0.88365 -1.82575 -1.92641 -1.13926 0.17294 1.40544 1.99022 1.65777 0.56131 -0.79384 -1.78313 -1.95064 -1.21916 0.07419 1.33335 1.97801 1.71107 0.65555 -0.70209 -1.73616 -1.97009 -1.29607 -0.02474 1.25800 1.96096 1.76019 0.74819 -0.60862 -1.68493 -1.98472 -1.36982 -0.12361 1.17957 1.93912 1.80499 0.83900 -0.51365 -1.62959 -1.99450 -1.44021 -0.22217 1.09825 1.91253 1.84538 0.92776 -0.41744 -1.57025 -1.99939 -1.50707 -0.32020 1.01425 1.88126 ... ... ..... ....... ......... ........... ............. E15 * 2.00000 1.47409 0.17294 -1.21916 -1.97009 -1.68493 -0.51365 0.92776 1.88126 1.84538 0.83900 -0.60862 -1.73616 -1.95064 -1.13926 0.27127 1.53913 1.99755 1.40544 0.07419 -1.29607 -1.98472 -1.62959 -0.41744 1.01425 1.91253 1.80499 0.74819 -0.70209 -1.78313 -1.92641 -1.05657 0.36893 1.60041 1.99022 1.33335 -0.02474 -1.36982 -1.99450 -1.57025 -0.32020 1.09825 1.93912 1.76019 0.65555 -0.79384 -1.82575 -1.89747 -0.97130 0.46569 1.65777 1.97801 1.25800 -0.12361 -1.44021 -1.99939 -1.50707 -0.22217 1.17957 1.96096 1.71107 0.56131 -0.88365 -1.86389 ... ... ..... ....... ......... ........... ............. E16 * 2.00000 1.40544 -0.02474 -1.44021 -1.99939 -1.36982 0.07419 1.47409 1.99755 1.33335 -0.12361 -1.50707 -1.99450 -1.29607 0.17294 1.53913 1.99022 1.25800 -0.22217 -1.57025 -1.98472 -1.21916 0.27127 1.60041 1.97801 1.17957 -0.32020 -1.62959 -1.97009 -1.13926 0.36893 1.65777 1.96096 1.09825 -0.41744 -1.68493 -1.95064 -1.05657 0.46569 1.71107 1.93912 1.01425 -0.51365 -1.73616 -1.92641 -0.97130 0.56131 1.76019 1.91253 0.92776 -0.60862 -1.78313 -1.89747 -0.88365 0.65555 1.80499 1.88126 0.83900 -0.70209 -1.82575 -1.86389 -0.79384 0.74819 1.84538 ... ... ..... ....... ......... ........... ............. E17 * 2.00000 1.33335 -0.22217 -1.62959 -1.95064 -0.97130 0.65555 1.84538 1.80499 0.56131 -1.05657 -1.97009 -1.57025 -0.12361 1.40544 1.99755 1.25800 -0.32020 -1.68493 -1.92641 -0.88365 0.74819 1.88126 1.76019 0.46569 -1.13926 -1.98472 -1.50707 -0.02474 1.47409 1.99022 1.17957 -0.41744 -1.73616 -1.89747 -0.79384 0.83900 1.91253 1.71107 0.36893 -1.21916 -1.99450 -1.44021 0.07419 1.53913 1.97801 1.09825 -0.51365 -1.78313 -1.86389 -0.70209 0.92776 1.93912 1.65777 0.27127 -1.29607 -1.99939 -1.36982 0.17294 1.60041 1.96096 1.01425 -0.60862 -1.82575 ... ... ..... ....... ......... ........... ............. E18 * 2.00000 1.25800 -0.41744 -1.78313 -1.82575 -0.51365 1.17957 1.99755 1.33335 -0.32020 -1.73616 -1.86389 -0.60862 1.09825 1.99022 1.40544 -0.22217 -1.68493 -1.89747 -0.70209 1.01425 1.97801 1.47409 -0.12361 -1.62959 -1.92641 -0.79384 0.92776 1.96096 1.53913 -0.02474 -1.57025 -1.95064 -0.88365 0.83900 1.93912 1.60041 0.07419 -1.50707 -1.97009 -0.97130 0.74819 1.91253 1.65777 0.17294 -1.44021 -1.98472 -1.05657 0.65555 1.88126 1.71107 0.27127 -1.36982 -1.99450 -1.13926 0.56131 1.84538 1.76019 0.36893 -1.29607 -1.99939 -1.21916 0.46569 1.80499 ... ... ..... ....... ......... ........... ............. E19 * 2.00000 1.17957 -0.60862 -1.89747 -1.62959 -0.02474 1.60041 1.91253 0.65555 -1.13926 -1.99939 -1.21916 0.56131 1.88126 1.65777 0.07419 -1.57025 -1.92641 -0.70209 1.09825 1.99755 1.25800 -0.51365 -1.86389 -1.68493 -0.12361 1.53913 1.93912 0.74819 -1.05657 -1.99450 -1.29607 0.46569 1.84538 1.71107 0.17294 -1.50707 -1.95064 -0.79384 1.01425 1.99022 1.33335 -0.41744 -1.82575 -1.73616 -0.22217 1.47409 1.96096 0.83900 -0.97130 -1.98472 -1.36982 0.36893 1.80499 1.76019 0.27127 -1.44021 -1.97009 -0.88365 0.92776 1.97801 1.40544 -0.32020 -1.78313 ... ... ..... ....... ......... ........... ............. E20 * 2.00000 1.09825 -0.79384 -1.97009 -1.36982 0.46569 1.88126 1.60041 -0.12361 -1.73616 -1.78313 -0.22217 1.53913 1.91253 0.56131 -1.29607 -1.98472 -0.88365 1.01425 1.99755 1.17957 -0.70209 -1.95064 -1.44021 0.36893 1.84538 1.65777 -0.02474 -1.68493 -1.82575 -0.32020 1.47409 1.93912 0.65555 -1.21916 -1.99450 -0.97130 0.92776 1.99022 1.25800 -0.60862 -1.92641 -1.50707 0.27127 1.80499 1.71107 0.07419 -1.62959 -1.86389 -0.41744 1.40544 1.96096 0.74819 -1.13926 -1.99939 -1.05657 0.83900 1.97801 1.33335 -0.51365 -1.89747 -1.57025 0.17294 1.76019 ... ... ..... ....... ......... ........... ............. E21 * 2.00000 1.01425 -0.97130 -1.99939 -1.05657 0.92776 1.99755 1.09825 -0.88365 -1.99450 -1.13926 0.83900 1.99022 1.17957 -0.79384 -1.98472 -1.21916 0.74819 1.97801 1.25800 -0.70209 -1.97009 -1.29607 0.65555 1.96096 1.33335 -0.60862 -1.95064 -1.36982 0.56131 1.93912 1.40544 -0.51365 -1.92641 -1.44021 0.46569 1.91253 1.47409 -0.41744 -1.89747 -1.50707 0.36893 1.88126 1.53913 -0.32020 -1.86389 -1.57025 0.27127 1.84538 1.60041 -0.22217 -1.82575 -1.62959 0.17294 1.80499 1.65777 -0.12361 -1.78313 -1.68493 0.07419 1.76019 1.71107 -0.02474 -1.73616 ... ... ..... ....... ......... ........... ............. E22 * 2.00000 0.92776 -1.13926 -1.98472 -0.70209 1.33335 1.93912 0.46569 -1.50707 -1.86389 -0.22217 1.65777 1.76019 -0.02474 -1.78313 -1.62959 0.27127 1.88126 1.47409 -0.51365 -1.95064 -1.29607 0.74819 1.99022 1.09825 -0.97130 -1.99939 -0.88365 1.17957 1.97801 0.65555 -1.36982 -1.92641 -0.41744 1.53913 1.84538 0.17294 -1.68493 -1.73616 0.07419 1.80499 1.60041 -0.32020 -1.89747 -1.44021 0.56131 1.96096 1.25800 -0.79384 -1.99450 -1.05657 1.01425 1.99755 0.83900 -1.21916 -1.97009 -0.60862 1.40544 1.91253 0.36893 -1.57025 -1.82575 -0.12361 1.71107 ... ... ..... ....... ......... ........... ............. E23 * 2.00000 0.83900 -1.29607 -1.92641 -0.32020 1.65777 1.71107 -0.22217 -1.89747 -1.36982 0.74819 1.99755 0.92776 -1.21916 -1.95064 -0.41744 1.60041 1.76019 -0.12361 -1.86389 -1.44021 0.65555 1.99022 1.01425 -1.13926 -1.97009 -0.51365 1.53913 1.80499 -0.02474 -1.82575 -1.50707 0.56131 1.97801 1.09825 -1.05657 -1.98472 -0.60862 1.47409 1.84538 0.07419 -1.78313 -1.57025 0.46569 1.96096 1.17957 -0.97130 -1.99450 -0.70209 1.40544 1.88126 0.17294 -1.73616 -1.62959 0.36893 1.93912 1.25800 -0.88365 -1.99939 -0.79384 1.33335 1.91253 0.27127 -1.68493 ... ... ..... ....... ......... ........... ............. E24 * 2.00000 0.74819 -1.44021 -1.82575 0.07419 1.88126 1.33335 -0.88365 -1.99450 -0.60862 1.53913 1.76019 -0.22217 -1.92641 -1.21916 1.01425 1.97801 0.46569 -1.62959 -1.68493 0.36893 1.96096 1.09825 -1.13926 -1.95064 -0.32020 1.71107 1.60041 -0.51365 -1.98472 -0.97130 1.25800 1.91253 0.17294 -1.78313 -1.50707 0.65555 1.99755 0.83900 -1.36982 -1.86389 -0.02474 1.84538 1.40544 -0.79384 -1.99939 -0.70209 1.47409 1.80499 -0.12361 -1.89747 -1.29607 0.92776 1.99022 0.56131 -1.57025 -1.73616 0.27127 1.93912 1.17957 -1.05657 -1.97009 -0.41744 1.65777 ... ... ..... ....... ......... ........... ............. E25 * 2.00000 0.65555 -1.57025 -1.68493 0.46569 1.99022 0.83900 -1.44021 -1.78313 0.27127 1.96096 1.01425 -1.29607 -1.86389 0.07419 1.91253 1.17957 -1.13926 -1.92641 -0.12361 1.84538 1.33335 -0.97130 -1.97009 -0.32020 1.76019 1.47409 -0.79384 -1.99450 -0.51365 1.65777 1.60041 -0.60862 -1.99939 -0.70209 1.53913 1.71107 -0.41744 -1.98472 -0.88365 1.40544 1.80499 -0.22217 -1.95064 -1.05657 1.25800 1.88126 -0.02474 -1.89747 -1.21916 1.09825 1.93912 0.17294 -1.82575 -1.36982 0.92776 1.97801 0.36893 -1.73616 -1.50707 0.74819 1.99755 0.56131 -1.62959 ... ... ..... ....... ......... ........... ............. E26 * 2.00000 0.56131 -1.68493 -1.50707 0.83900 1.97801 0.27127 -1.82575 -1.29607 1.09825 1.91253 -0.02474 -1.92641 -1.05657 1.33335 1.80499 -0.32020 -1.98472 -0.79384 1.53913 1.65777 -0.60862 -1.99939 -0.51365 1.71107 1.47409 -0.88365 -1.97009 -0.22217 1.84538 1.25800 -1.13926 -1.89747 0.07419 1.93912 1.01425 -1.36982 -1.78313 0.36893 1.99022 0.74819 -1.57025 -1.62959 0.65555 1.99755 0.46569 -1.73616 -1.44021 0.92776 1.96096 0.17294 -1.86389 -1.21916 1.17957 1.88126 -0.12361 -1.95064 -0.97130 1.40544 1.76019 -0.41744 -1.99450 -0.70209 1.60041 ... ... ..... ....... ......... ........... ............. E27 * 2.00000 0.46569 -1.78313 -1.29607 1.17957 1.84538 -0.32020 -1.99450 -0.60862 1.71107 1.40544 -1.05657 -1.89747 0.17294 1.97801 0.74819 -1.62959 -1.50707 0.92776 1.93912 -0.02474 -1.95064 -0.88365 1.53913 1.60041 -0.79384 -1.97009 -0.12361 1.91253 1.01425 -1.44021 -1.68493 0.65555 1.99022 0.27127 -1.86389 -1.13926 1.33335 1.76019 -0.51365 -1.99939 -0.41744 1.80499 1.25800 -1.21916 -1.82575 0.36893 1.99755 0.56131 -1.73616 -1.36982 1.09825 1.88126 -0.22217 -1.98472 -0.70209 1.65777 1.47409 -0.97130 -1.92641 0.07419 1.96096 0.83900 -1.57025 ... ... ..... ....... ......... ........... ............. E28 * 2.00000 0.36893 -1.86389 -1.05657 1.47409 1.60041 -0.88365 -1.92641 0.17294 1.99022 0.56131 -1.78313 -1.21916 1.33335 1.71107 -0.70209 -1.97009 -0.02474 1.96096 0.74819 -1.68493 -1.36982 1.17957 1.80499 -0.51365 -1.99450 -0.22217 1.91253 0.92776 -1.57025 -1.50707 1.01425 1.88126 -0.32020 -1.99939 -0.41744 1.84538 1.09825 -1.44021 -1.62959 0.83900 1.93912 -0.12361 -1.98472 -0.60862 1.76019 1.25800 -1.29607 -1.73616 0.65555 1.97801 0.07419 -1.95064 -0.79384 1.65777 1.40544 -1.13926 -1.82575 0.46569 1.99755 0.27127 -1.89747 -0.97130 1.53913 ... ... ..... ....... ......... ........... ............. E29 * 2.00000 0.27127 -1.92641 -0.79384 1.71107 1.25800 -1.36982 -1.62959 0.92776 1.88126 -0.41744 -1.99450 -0.12361 1.96096 0.65555 -1.78313 -1.13926 1.47409 1.53913 -1.05657 -1.82575 0.56131 1.97801 -0.02474 -1.98472 -0.51365 1.84538 1.01425 -1.57025 -1.44021 1.17957 1.76019 -0.70209 -1.95064 0.17294 1.99755 0.36893 -1.89747 -0.88365 1.65777 1.33335 -1.29607 -1.68493 0.83900 1.91253 -0.32020 -1.99939 -0.22217 1.93912 0.74819 -1.73616 -1.21916 1.40544 1.60041 -0.97130 -1.86389 0.46569 1.99022 0.07419 -1.97009 -0.60862 1.80499 1.09825 -1.50707 ... ... ..... ....... ......... ........... ............. E30 * 2.00000 0.17294 -1.97009 -0.51365 1.88126 0.83900 -1.73616 -1.13926 1.53913 1.40544 -1.29607 -1.62959 1.01425 1.80499 -0.70209 -1.92641 0.36893 1.99022 -0.02474 -1.99450 -0.32020 1.93912 0.65555 -1.82575 -0.97130 1.65777 1.25800 -1.44021 -1.50707 1.17957 1.71107 -0.88365 -1.86389 0.56131 1.96096 -0.22217 -1.99939 -0.12361 1.97801 0.46569 -1.89747 -0.79384 1.76019 1.09825 -1.57025 -1.36982 1.33335 1.60041 -1.05657 -1.78313 0.74819 1.91253 -0.41744 -1.98472 0.07419 1.99755 0.27127 -1.95064 -0.60862 1.84538 0.92776 -1.68493 -1.21916 1.47409 ... ... ..... ....... ......... ........... ............. E31 * 2.00000 0.07419 -1.99450 -0.22217 1.97801 0.36893 -1.95064 -0.51365 1.91253 0.65555 -1.86389 -0.79384 1.80499 0.92776 -1.73616 -1.05657 1.65777 1.17957 -1.57025 -1.29607 1.47409 1.40544 -1.36982 -1.50707 1.25800 1.60041 -1.13926 -1.68493 1.01425 1.76019 -0.88365 -1.82575 0.74819 1.88126 -0.60862 -1.92641 0.46569 1.96096 -0.32020 -1.98472 0.17294 1.99755 -0.02474 -1.99939 -0.12361 1.99022 0.27127 -1.97009 -0.41744 1.93912 0.56131 -1.89747 -0.70209 1.84538 0.83900 -1.78313 -0.97130 1.71107 1.09825 -1.62959 -1.21916 1.53913 1.33335 -1.44021 ... ... ..... ....... ......... ........... ............. E32 * 2.00000 -0.02474 -1.99939 0.07419 1.99755 -0.12361 -1.99450 0.17294 1.99022 -0.22217 -1.98472 0.27127 1.97801 -0.32020 -1.97009 0.36893 1.96096 -0.41744 -1.95064 0.46569 1.93912 -0.51365 -1.92641 0.56131 1.91253 -0.60862 -1.89747 0.65555 1.88126 -0.70209 -1.86389 0.74819 1.84538 -0.79384 -1.82575 0.83900 1.80499 -0.88365 -1.78313 0.92776 1.76019 -0.97130 -1.73616 1.01425 1.71107 -1.05657 -1.68493 1.09825 1.65777 -1.13926 -1.62959 1.17957 1.60041 -1.21916 -1.57025 1.25800 1.53913 -1.29607 -1.50707 1.33335 1.47409 -1.36982 -1.44021 1.40544 ... ... ..... ....... ......... ........... ............. E33 * 2.00000 -0.12361 -1.98472 0.36893 1.93912 -0.60862 -1.86389 0.83900 1.76019 -1.05657 -1.62959 1.25800 1.47409 -1.44021 -1.29607 1.60041 1.09825 -1.73616 -0.88365 1.84538 0.65555 -1.92641 -0.41744 1.97801 0.17294 -1.99939 0.07419 1.99022 -0.32020 -1.95064 0.56131 1.88126 -0.79384 -1.78313 1.01425 1.65777 -1.21916 -1.50707 1.40544 1.33335 -1.57025 -1.13926 1.71107 0.92776 -1.82575 -0.70209 1.91253 0.46569 -1.97009 -0.22217 1.99755 -0.02474 -1.99450 0.27127 1.96096 -0.51365 -1.89747 0.74819 1.80499 -0.97130 -1.68493 1.17957 1.53913 -1.36982 ... ... ..... ....... ......... ........... ............. E34 * 2.00000 -0.22217 -1.95064 0.65555 1.80499 -1.05657 -1.57025 1.40544 1.25800 -1.68493 -0.88365 1.88126 0.46569 -1.98472 -0.02474 1.99022 -0.41744 -1.89747 0.83900 1.71107 -1.21916 -1.44021 1.53913 1.09825 -1.78313 -0.70209 1.93912 0.27127 -1.99939 0.17294 1.96096 -0.60862 -1.82575 1.01425 1.60041 -1.36982 -1.29607 1.65777 0.92776 -1.86389 -0.51365 1.97801 0.07419 -1.99450 0.36893 1.91253 -0.79384 -1.73616 1.17957 1.47409 -1.50707 -1.13926 1.76019 0.74819 -1.92641 -0.32020 1.99755 -0.12361 -1.97009 0.56131 1.84538 -0.97130 -1.62959 1.33335 ... ... ..... ....... ......... ........... ............. E35 * 2.00000 -0.32020 -1.89747 0.92776 1.60041 -1.44021 -1.13926 1.80499 0.56131 -1.98472 0.07419 1.96096 -0.70209 -1.73616 1.25800 1.33335 -1.68493 -0.79384 1.93912 0.17294 -1.99450 0.46569 1.84538 -1.05657 -1.50707 1.53913 1.01425 -1.86389 -0.41744 1.99755 -0.22217 -1.92641 0.83900 1.65777 -1.36982 -1.21916 1.76019 0.65555 -1.97009 -0.02474 1.97801 -0.60862 -1.78313 1.17957 1.40544 -1.62959 -0.88365 1.91253 0.27127 -1.99939 0.36893 1.88126 -0.97130 -1.57025 1.47409 1.09825 -1.82575 -0.51365 1.99022 -0.12361 -1.95064 0.74819 1.71107 -1.29607 ... ... ..... ....... ......... ........... ............. E36 * 2.00000 -0.41744 -1.82575 1.17957 1.33335 -1.73616 -0.60862 1.99022 -0.22217 -1.89747 1.01425 1.47409 -1.62959 -0.79384 1.96096 -0.02474 -1.95064 0.83900 1.60041 -1.50707 -0.97130 1.91253 0.17294 -1.98472 0.65555 1.71107 -1.36982 -1.13926 1.84538 0.36893 -1.99939 0.46569 1.80499 -1.21916 -1.29607 1.76019 0.56131 -1.99450 0.27127 1.88126 -1.05657 -1.44021 1.65777 0.74819 -1.97009 0.07419 1.93912 -0.88365 -1.57025 1.53913 0.92776 -1.92641 -0.12361 1.97801 -0.70209 -1.68493 1.40544 1.09825 -1.86389 -0.32020 1.99755 -0.51365 -1.78313 1.25800 ... ... ..... ....... ......... ........... ............. E37 * 2.00000 -0.51365 -1.73616 1.40544 1.01425 -1.92641 -0.02474 1.93912 -0.97130 -1.44021 1.71107 0.56131 -1.99939 0.46569 1.76019 -1.36982 -1.05657 1.91253 0.07419 -1.95064 0.92776 1.47409 -1.68493 -0.60862 1.99755 -0.41744 -1.78313 1.33335 1.09825 -1.89747 -0.12361 1.96096 -0.88365 -1.50707 1.65777 0.65555 -1.99450 0.36893 1.80499 -1.29607 -1.13926 1.88126 0.17294 -1.97009 0.83900 1.53913 -1.62959 -0.70209 1.99022 -0.32020 -1.82575 1.25800 1.17957 -1.86389 -0.22217 1.97801 -0.79384 -1.57025 1.60041 0.74819 -1.98472 0.27127 1.84538 -1.21916 ... ... ..... ....... ......... ........... ............. E38 * 2.00000 -0.60862 -1.62959 1.60041 0.65555 -1.99939 0.56131 1.65777 -1.57025 -0.70209 1.99755 -0.51365 -1.68493 1.53913 0.74819 -1.99450 0.46569 1.71107 -1.50707 -0.79384 1.99022 -0.41744 -1.73616 1.47409 0.83900 -1.98472 0.36893 1.76019 -1.44021 -0.88365 1.97801 -0.32020 -1.78313 1.40544 0.92776 -1.97009 0.27127 1.80499 -1.36982 -0.97130 1.96096 -0.22217 -1.82575 1.33335 1.01425 -1.95064 0.17294 1.84538 -1.29607 -1.05657 1.93912 -0.12361 -1.86389 1.25800 1.09825 -1.92641 0.07419 1.88126 -1.21916 -1.13926 1.91253 -0.02474 -1.89747 1.17957 ... ... ..... ....... ......... ........... ............. E39 * 2.00000 -0.70209 -1.50707 1.76019 0.27127 -1.95064 1.09825 1.17957 -1.92641 0.17294 1.80499 -1.44021 -0.79384 1.99755 -0.60862 -1.57025 1.71107 0.36893 -1.97009 1.01425 1.25800 -1.89747 0.07419 1.84538 -1.36982 -0.88365 1.99022 -0.51365 -1.62959 1.65777 0.46569 -1.98472 0.92776 1.33335 -1.86389 -0.02474 1.88126 -1.29607 -0.97130 1.97801 -0.41744 -1.68493 1.60041 0.56131 -1.99450 0.83900 1.40544 -1.82575 -0.12361 1.91253 -1.21916 -1.05657 1.96096 -0.32020 -1.73616 1.53913 0.65555 -1.99939 0.74819 1.47409 -1.78313 -0.22217 1.93912 -1.13926 ... ... ..... ....... ......... ........... ............. E40 * 2.00000 -0.79384 -1.36982 1.88126 -0.12361 -1.78313 1.53913 0.56131 -1.98472 1.01425 1.17957 -1.95064 0.36893 1.65777 -1.68493 -0.32020 1.93912 -1.21916 -0.97130 1.99022 -0.60862 -1.50707 1.80499 0.07419 -1.86389 1.40544 0.74819 -1.99939 0.83900 1.33335 -1.89747 0.17294 1.76019 -1.57025 -0.51365 1.97801 -1.05657 -1.13926 1.96096 -0.41744 -1.62959 1.71107 0.27127 -1.92641 1.25800 0.92776 -1.99450 0.65555 1.47409 -1.82575 -0.02474 1.84538 -1.44021 -0.70209 1.99755 -0.88365 -1.29607 1.91253 -0.22217 -1.73616 1.60041 0.46569 -1.97009 1.09825 ... ... ..... ....... ......... ........... ............. E41 * 2.00000 -0.88365 -1.21916 1.96096 -0.51365 -1.50707 1.84538 -0.12361 -1.73616 1.65777 0.27127 -1.89747 1.40544 0.65555 -1.98472 1.09825 1.01425 -1.99450 0.74819 1.33335 -1.92641 0.36893 1.60041 -1.78313 -0.02474 1.80499 -1.57025 -0.41744 1.93912 -1.29607 -0.79384 1.99755 -0.97130 -1.13926 1.97801 -0.60862 -1.44021 1.88126 -0.22217 -1.68493 1.71107 0.17294 -1.86389 1.47409 0.56131 -1.97009 1.17957 0.92776 -1.99939 0.83900 1.25800 -1.95064 0.46569 1.53913 -1.82575 0.07419 1.76019 -1.62959 -0.32020 1.91253 -1.36982 -0.70209 1.99022 -1.05657 ... ... ..... ....... ......... ........... ............. E42 * 2.00000 -0.97130 -1.05657 1.99755 -0.88365 -1.13926 1.99022 -0.79384 -1.21916 1.97801 -0.70209 -1.29607 1.96096 -0.60862 -1.36982 1.93912 -0.51365 -1.44021 1.91253 -0.41744 -1.50707 1.88126 -0.32020 -1.57025 1.84538 -0.22217 -1.62959 1.80499 -0.12361 -1.68493 1.76019 -0.02474 -1.73616 1.71107 0.07419 -1.78313 1.65777 0.17294 -1.82575 1.60041 0.27127 -1.86389 1.53913 0.36893 -1.89747 1.47409 0.46569 -1.92641 1.40544 0.56131 -1.95064 1.33335 0.65555 -1.97009 1.25800 0.74819 -1.98472 1.17957 0.83900 -1.99450 1.09825 0.92776 -1.99939 1.01425 ... ... ..... ....... ......... ........... ............. E43 * 2.00000 -1.05657 -0.88365 1.99022 -1.21916 -0.70209 1.96096 -1.36982 -0.51365 1.91253 -1.50707 -0.32020 1.84538 -1.62959 -0.12361 1.76019 -1.73616 0.07419 1.65777 -1.82575 0.27127 1.53913 -1.89747 0.46569 1.40544 -1.95064 0.65555 1.25800 -1.98472 0.83900 1.09825 -1.99939 1.01425 0.92776 -1.99450 1.17957 0.74819 -1.97009 1.33335 0.56131 -1.92641 1.47409 0.36893 -1.86389 1.60041 0.17294 -1.78313 1.71107 -0.02474 -1.68493 1.80499 -0.22217 -1.57025 1.88126 -0.41744 -1.44021 1.93912 -0.60862 -1.29607 1.97801 -0.79384 -1.13926 1.99755 -0.97130 ... ... ..... ....... ......... ........... ............. E44 * 2.00000 -1.13926 -0.70209 1.93912 -1.50707 -0.22217 1.76019 -1.78313 0.27127 1.47409 -1.95064 0.74819 1.09825 -1.99939 1.17957 0.65555 -1.92641 1.53913 0.17294 -1.73616 1.80499 -0.32020 -1.44021 1.96096 -0.79384 -1.05657 1.99755 -1.21916 -0.60862 1.91253 -1.57025 -0.12361 1.71107 -1.82575 0.36893 1.40544 -1.97009 0.83900 1.01425 -1.99450 1.25800 0.56131 -1.89747 1.60041 0.07419 -1.68493 1.84538 -0.41744 -1.36982 1.97801 -0.88365 -0.97130 1.99022 -1.29607 -0.51365 1.88126 -1.62959 -0.02474 1.65777 -1.86389 0.46569 1.33335 -1.98472 0.92776 ... ... ..... ....... ......... ........... ............. E45 * 2.00000 -1.21916 -0.51365 1.84538 -1.73616 0.27127 1.40544 -1.98472 1.01425 0.74819 -1.92641 1.60041 -0.02474 -1.57025 1.93912 -0.79384 -0.97130 1.97801 -1.44021 -0.22217 1.71107 -1.86389 0.56131 1.17957 -1.99939 1.25800 0.46569 -1.82575 1.76019 -0.32020 -1.36982 1.99022 -1.05657 -0.70209 1.91253 -1.62959 0.07419 1.53913 -1.95064 0.83900 0.92776 -1.97009 1.47409 0.17294 -1.68493 1.88126 -0.60862 -1.13926 1.99755 -1.29607 -0.41744 1.80499 -1.78313 0.36893 1.33335 -1.99450 1.09825 0.65555 -1.89747 1.65777 -0.12361 -1.50707 1.96096 -0.88365 ... ... ..... ....... ......... ........... ............. E46 * 2.00000 -1.29607 -0.32020 1.71107 -1.89747 0.74819 0.92776 -1.95064 1.60041 -0.12361 -1.44021 1.99022 -1.13926 -0.51365 1.80499 -1.82575 0.56131 1.09825 -1.98472 1.47409 0.07419 -1.57025 1.96096 -0.97130 -0.70209 1.88126 -1.73616 0.36893 1.25800 -1.99939 1.33335 0.27127 -1.68493 1.91253 -0.79384 -0.88365 1.93912 -1.62959 0.17294 1.40544 -1.99450 1.17957 0.46569 -1.78313 1.84538 -0.60862 -1.05657 1.97801 -1.50707 -0.02474 1.53913 -1.97009 1.01425 0.65555 -1.86389 1.76019 -0.41744 -1.21916 1.99755 -1.36982 -0.22217 1.65777 -1.92641 0.83900 ... ... ..... ....... ......... ........... ............. E47 * 2.00000 -1.36982 -0.12361 1.53913 -1.98472 1.17957 0.36893 -1.68493 1.93912 -0.97130 -0.60862 1.80499 -1.86389 0.74819 0.83900 -1.89747 1.76019 -0.51365 -1.05657 1.96096 -1.62959 0.27127 1.25800 -1.99450 1.47409 -0.02474 -1.44021 1.99755 -1.29607 -0.22217 1.60041 -1.97009 1.09825 0.46569 -1.73616 1.91253 -0.88365 -0.70209 1.84538 -1.82575 0.65555 0.92776 -1.92641 1.71107 -0.41744 -1.13926 1.97801 -1.57025 0.17294 1.33335 -1.99939 1.40544 0.07419 -1.50707 1.99022 -1.21916 -0.32020 1.65777 -1.95064 1.01425 0.56131 -1.78313 1.88126 -0.79384 ... ... ..... ....... ......... ........... ............. E48 * 2.00000 -1.44021 0.07419 1.33335 -1.99450 1.53913 -0.22217 -1.21916 1.97801 -1.62959 0.36893 1.09825 -1.95064 1.71107 -0.51365 -0.97130 1.91253 -1.78313 0.65555 0.83900 -1.86389 1.84538 -0.79384 -0.70209 1.80499 -1.89747 0.92776 0.56131 -1.73616 1.93912 -1.05657 -0.41744 1.65777 -1.97009 1.17957 0.27127 -1.57025 1.99022 -1.29607 -0.12361 1.47409 -1.99939 1.40544 -0.02474 -1.36982 1.99755 -1.50707 0.17294 1.25800 -1.98472 1.60041 -0.32020 -1.13926 1.96096 -1.68493 0.46569 1.01425 -1.92641 1.76019 -0.60862 -0.88365 1.88126 -1.82575 0.74819 ... ... ..... ....... ......... ........... ............. E49 * 2.00000 -1.50707 0.27127 1.09825 -1.92641 1.80499 -0.79384 -0.60862 1.71107 -1.97009 1.25800 0.07419 -1.36982 1.99022 -1.62959 0.46569 0.92776 -1.86389 1.88126 -0.97130 -0.41744 1.60041 -1.99450 1.40544 -0.12361 -1.21916 1.96096 -1.73616 0.65555 0.74819 -1.78313 1.93912 -1.13926 -0.22217 1.47409 -1.99939 1.53913 -0.32020 -1.05657 1.91253 -1.82575 0.83900 0.56131 -1.68493 1.97801 -1.29607 -0.02474 1.33335 -1.98472 1.65777 -0.51365 -0.88365 1.84538 -1.89747 1.01425 0.36893 -1.57025 1.99755 -1.44021 0.17294 1.17957 -1.95064 1.76019 -0.70209 ... ... ..... ....... ......... ........... ............. E50 * 2.00000 -1.57025 0.46569 0.83900 -1.78313 1.96096 -1.29607 0.07419 1.17957 -1.92641 1.84538 -0.97130 -0.32020 1.47409 -1.99450 1.65777 -0.60862 -0.70209 1.71107 -1.98472 1.40544 -0.22217 -1.05657 1.88126 -1.89747 1.09825 0.17294 -1.36982 1.97801 -1.73616 0.74819 0.56131 -1.62959 1.99755 -1.50707 0.36893 0.92776 -1.82575 1.93912 -1.21916 -0.02474 1.25800 -1.95064 1.80499 -0.88365 -0.41744 1.53913 -1.99939 1.60041 -0.51365 -0.79384 1.76019 -1.97009 1.33335 -0.12361 -1.13926 1.91253 -1.86389 1.01425 0.27127 -1.44021 1.99022 -1.68493 0.65555 ... ... ..... ....... ......... ........... ............. E51 * 2.00000 -1.62959 0.65555 0.56131 -1.57025 1.99755 -1.68493 0.74819 0.46569 -1.50707 1.99022 -1.73616 0.83900 0.36893 -1.44021 1.97801 -1.78313 0.92776 0.27127 -1.36982 1.96096 -1.82575 1.01425 0.17294 -1.29607 1.93912 -1.86389 1.09825 0.07419 -1.21916 1.91253 -1.89747 1.17957 -0.02474 -1.13926 1.88126 -1.92641 1.25800 -0.12361 -1.05657 1.84538 -1.95064 1.33335 -0.22217 -0.97130 1.80499 -1.97009 1.40544 -0.32020 -0.88365 1.76019 -1.98472 1.47409 -0.41744 -0.79384 1.71107 -1.99450 1.53913 -0.51365 -0.70209 1.65777 -1.99939 1.60041 -0.60862 ... ... ..... ....... ......... ........... ............. E52 * 2.00000 -1.68493 0.83900 0.27127 -1.29607 1.91253 -1.92641 1.33335 -0.32020 -0.79384 1.65777 -1.99939 1.71107 -0.88365 -0.22217 1.25800 -1.89747 1.93912 -1.36982 0.36893 0.74819 -1.62959 1.99755 -1.73616 0.92776 0.17294 -1.21916 1.88126 -1.95064 1.40544 -0.41744 -0.70209 1.60041 -1.99450 1.76019 -0.97130 -0.12361 1.17957 -1.86389 1.96096 -1.44021 0.46569 0.65555 -1.57025 1.99022 -1.78313 1.01425 0.07419 -1.13926 1.84538 -1.97009 1.47409 -0.51365 -0.60862 1.53913 -1.98472 1.80499 -1.05657 -0.02474 1.09825 -1.82575 1.97801 -1.50707 0.56131 ... ... ..... ....... ......... ........... ............. E53 * 2.00000 -1.73616 1.01425 -0.02474 -0.97130 1.71107 -1.99939 1.76019 -1.05657 0.07419 0.92776 -1.68493 1.99755 -1.78313 1.09825 -0.12361 -0.88365 1.65777 -1.99450 1.80499 -1.13926 0.17294 0.83900 -1.62959 1.99022 -1.82575 1.17957 -0.22217 -0.79384 1.60041 -1.98472 1.84538 -1.21916 0.27127 0.74819 -1.57025 1.97801 -1.86389 1.25800 -0.32020 -0.70209 1.53913 -1.97009 1.88126 -1.29607 0.36893 0.65555 -1.50707 1.96096 -1.89747 1.33335 -0.41744 -0.60862 1.47409 -1.95064 1.91253 -1.36982 0.46569 0.56131 -1.44021 1.93912 -1.92641 1.40544 -0.51365 ... ... ..... ....... ......... ........... ............. E54 * 2.00000 -1.78313 1.17957 -0.32020 -0.60862 1.40544 -1.89747 1.97801 -1.62959 0.92776 -0.02474 -0.88365 1.60041 -1.97009 1.91253 -1.44021 0.65555 0.27127 -1.13926 1.76019 -1.99939 1.80499 -1.21916 0.36893 0.56131 -1.36982 1.88126 -1.98472 1.65777 -0.97130 0.07419 0.83900 -1.57025 1.96096 -1.92641 1.47409 -0.70209 -0.22217 1.09825 -1.73616 1.99755 -1.82575 1.25800 -0.41744 -0.51365 1.33335 -1.86389 1.99022 -1.68493 1.01425 -0.12361 -0.79384 1.53913 -1.95064 1.93912 -1.50707 0.74819 0.17294 -1.05657 1.71107 -1.99450 1.84538 -1.29607 0.46569 ... ... ..... ....... ......... ........... ............. E55 * 2.00000 -1.82575 1.33335 -0.60862 -0.22217 1.01425 -1.62959 1.96096 -1.95064 1.60041 -0.97130 0.17294 0.65555 -1.36982 1.84538 -1.99939 1.80499 -1.29607 0.56131 0.27127 -1.05657 1.65777 -1.97009 1.93912 -1.57025 0.92776 -0.12361 -0.70209 1.40544 -1.86389 1.99755 -1.78313 1.25800 -0.51365 -0.32020 1.09825 -1.68493 1.97801 -1.92641 1.53913 -0.88365 0.07419 0.74819 -1.44021 1.88126 -1.99450 1.76019 -1.21916 0.46569 0.36893 -1.13926 1.71107 -1.98472 1.91253 -1.50707 0.83900 -0.02474 -0.79384 1.47409 -1.89747 1.99022 -1.73616 1.17957 -0.41744 ... ... ..... ....... ......... ........... ............. E56 * 2.00000 -1.86389 1.47409 -0.88365 0.17294 0.56131 -1.21916 1.71107 -1.97009 1.96096 -1.68493 1.17957 -0.51365 -0.22217 0.92776 -1.50707 1.88126 -1.99939 1.84538 -1.44021 0.83900 -0.12361 -0.60862 1.25800 -1.73616 1.97801 -1.95064 1.65777 -1.13926 0.46569 0.27127 -0.97130 1.53913 -1.89747 1.99755 -1.82575 1.40544 -0.79384 0.07419 0.65555 -1.29607 1.76019 -1.98472 1.93912 -1.62959 1.09825 -0.41744 -0.32020 1.01425 -1.57025 1.91253 -1.99450 1.80499 -1.36982 0.74819 -0.02474 -0.70209 1.33335 -1.78313 1.99022 -1.92641 1.60041 -1.05657 0.36893 ... ... ..... ....... ......... ........... ............. E57 * 2.00000 -1.89747 1.60041 -1.13926 0.56131 0.07419 -0.70209 1.25800 -1.68493 1.93912 -1.99450 1.84538 -1.50707 1.01425 -0.41744 -0.22217 0.83900 -1.36982 1.76019 -1.97009 1.97801 -1.78313 1.40544 -0.88365 0.27127 0.36893 -0.97130 1.47409 -1.82575 1.99022 -1.95064 1.71107 -1.29607 0.74819 -0.12361 -0.51365 1.09825 -1.57025 1.88126 -1.99939 1.91253 -1.62959 1.17957 -0.60862 -0.02474 0.65555 -1.21916 1.65777 -1.92641 1.99755 -1.86389 1.53913 -1.05657 0.46569 0.17294 -0.79384 1.33335 -1.73616 1.96096 -1.98472 1.80499 -1.44021 0.92776 -0.32020 ... ... ..... ....... ......... ........... ............. E58 * 2.00000 -1.92641 1.71107 -1.36982 0.92776 -0.41744 -0.12361 0.65555 -1.13926 1.53913 -1.82575 1.97801 -1.98472 1.84538 -1.57025 1.17957 -0.70209 0.17294 0.36893 -0.88365 1.33335 -1.68493 1.91253 -1.99939 1.93912 -1.73616 1.40544 -0.97130 0.46569 0.07419 -0.60862 1.09825 -1.50707 1.80499 -1.97009 1.99022 -1.86389 1.60041 -1.21916 0.74819 -0.22217 -0.32020 0.83900 -1.29607 1.65777 -1.89747 1.99755 -1.95064 1.76019 -1.44021 1.01425 -0.51365 -0.02474 0.56131 -1.05657 1.47409 -1.78313 1.96096 -1.99450 1.88126 -1.62959 1.25800 -0.79384 0.27127 ... ... ..... ....... ......... ........... ............. E59 * 2.00000 -1.95064 1.80499 -1.57025 1.25800 -0.88365 0.46569 -0.02474 -0.41744 0.83900 -1.21916 1.53913 -1.78313 1.93912 -1.99939 1.96096 -1.82575 1.60041 -1.29607 0.92776 -0.51365 0.07419 0.36893 -0.79384 1.17957 -1.50707 1.76019 -1.92641 1.99755 -1.97009 1.84538 -1.62959 1.33335 -0.97130 0.56131 -0.12361 -0.32020 0.74819 -1.13926 1.47409 -1.73616 1.91253 -1.99450 1.97801 -1.86389 1.65777 -1.36982 1.01425 -0.60862 0.17294 0.27127 -0.70209 1.09825 -1.44021 1.71107 -1.89747 1.99022 -1.98472 1.88126 -1.68493 1.40544 -1.05657 0.65555 -0.22217 ... ... ..... ....... ......... ........... ............. E60 * 2.00000 -1.97009 1.88126 -1.73616 1.53913 -1.29607 1.01425 -0.70209 0.36893 -0.02474 -0.32020 0.65555 -0.97130 1.25800 -1.50707 1.71107 -1.86389 1.96096 -1.99939 1.97801 -1.89747 1.76019 -1.57025 1.33335 -1.05657 0.74819 -0.41744 0.07419 0.27127 -0.60862 0.92776 -1.21916 1.47409 -1.68493 1.84538 -1.95064 1.99755 -1.98472 1.91253 -1.78313 1.60041 -1.36982 1.09825 -0.79384 0.46569 -0.12361 -0.22217 0.56131 -0.88365 1.17957 -1.44021 1.65777 -1.82575 1.93912 -1.99450 1.99022 -1.92641 1.80499 -1.62959 1.40544 -1.13926 0.83900 -0.51365 0.17294 ... ... ..... ....... ......... ........... ............. E61 * 2.00000 -1.98472 1.93912 -1.86389 1.76019 -1.62959 1.47409 -1.29607 1.09825 -0.88365 0.65555 -0.41744 0.17294 0.07419 -0.32020 0.56131 -0.79384 1.01425 -1.21916 1.40544 -1.57025 1.71107 -1.82575 1.91253 -1.97009 1.99755 -1.99450 1.96096 -1.89747 1.80499 -1.68493 1.53913 -1.36982 1.17957 -0.97130 0.74819 -0.51365 0.27127 -0.02474 -0.22217 0.46569 -0.70209 0.92776 -1.13926 1.33335 -1.50707 1.65777 -1.78313 1.88126 -1.95064 1.99022 -1.99939 1.97801 -1.92641 1.84538 -1.73616 1.60041 -1.44021 1.25800 -1.05657 0.83900 -0.60862 0.36893 -0.12361 ... ... ..... ....... ......... ........... ............. E62 * 2.00000 -1.99450 1.97801 -1.95064 1.91253 -1.86389 1.80499 -1.73616 1.65777 -1.57025 1.47409 -1.36982 1.25800 -1.13926 1.01425 -0.88365 0.74819 -0.60862 0.46569 -0.32020 0.17294 -0.02474 -0.12361 0.27127 -0.41744 0.56131 -0.70209 0.83900 -0.97130 1.09825 -1.21916 1.33335 -1.44021 1.53913 -1.62959 1.71107 -1.78313 1.84538 -1.89747 1.93912 -1.97009 1.99022 -1.99939 1.99755 -1.98472 1.96096 -1.92641 1.88126 -1.82575 1.76019 -1.68493 1.60041 -1.50707 1.40544 -1.29607 1.17957 -1.05657 0.92776 -0.79384 0.65555 -0.51365 0.36893 -0.22217 0.07419 ... ... ..... ....... ......... ........... ............. E63 * 2.00000 -1.99939 1.99755 -1.99450 1.99022 -1.98472 1.97801 -1.97009 1.96096 -1.95064 1.93912 -1.92641 1.91253 -1.89747 1.88126 -1.86389 1.84538 -1.82575 1.80499 -1.78313 1.76019 -1.73616 1.71107 -1.68493 1.65777 -1.62959 1.60041 -1.57025 1.53913 -1.50707 1.47409 -1.44021 1.40544 -1.36982 1.33335 -1.29607 1.25800 -1.21916 1.17957 -1.13926 1.09825 -1.05657 1.01425 -0.97130 0.92776 -0.88365 0.83900 -0.79384 0.74819 -0.70209 0.65555 -0.60862 0.56131 -0.51365 0.46569 -0.41744 0.36893 -0.32020 0.27127 -0.22217 0.17294 -0.12361 0.07419 -0.02474 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.997552832429 = 2*cos(2*π/127) 1.990217318343 = 2*cos(4*π/127) 1.978011408976 = 2*cos(6*π/127) 1.960964974233 = 2*cos(8*π/127) 1.939119729596 = 2*cos(10*π/127) 1.912529134040 = 2*cos(12*π/127) 1.881258259208 = 2*cos(14*π/127) 1.845383630170 = 2*cos(16*π/127) 1.804993038155 = 2*cos(18*π/127) 1.760185325710 = 2*cos(20*π/127) 1.711070144817 = 2*cos(22*π/127) 1.657767688553 = 2*cos(24*π/127) 1.600408396960 = 2*cos(26*π/127) 1.539132637837 = 2*cos(28*π/127) 1.474090363235 = 2*cos(30*π/127) 1.405440742498 = 2*cos(32*π/127) 1.333351772753 = 2*cos(34*π/127) 1.257999867787 = 2*cos(36*π/127) 1.179569426341 = 2*cos(38*π/127) 1.098252380846 = 2*cos(40*π/127) 1.014247727740 = 2*cos(42*π/127) 0.927761040484 = 2*cos(44*π/127) 0.839003966496 = 2*cos(46*π/127) 0.748193709210 = 2*cos(48*π/127) 0.655552496540 = 2*cos(50*π/127) 0.561307037060 = 2*cos(52*π/127) 0.465687965201 = 2*cos(54*π/127) 0.368929276856 = 2*cos(56*π/127) 0.271267756747 = 2*cos(58*π/127) 0.172942398981 = 2*cos(60*π/127) 0.074193822185 = 2*cos(62*π/127) -0.024736319327 = 2*cos(64*π/127) -0.123605926920 = 2*cos(66*π/127) -0.222173050098 = 2*cos(68*π/127) -0.320196478592 = 2*cos(70*π/127) -0.417436332647 = 2*cos(72*π/127) -0.513654650045 = 2*cos(74*π/127) -0.608615968441 = 2*cos(76*π/127) -0.702087901576 = 2*cos(78*π/127) -0.793841707966 = 2*cos(80*π/127) -0.883652850671 = 2*cos(82*π/127) -0.971301546775 = 2*cos(84*π/127) -1.056573305232 = 2*cos(86*π/127) -1.139259451760 = 2*cos(88*π/127) -1.219157639501 = 2*cos(90*π/127) -1.296072344203 = 2*cos(92*π/127) -1.369815342694 = 2*cos(94*π/127) -1.440206173499 = 2*cos(96*π/127) -1.507072578460 = 2*cos(98*π/127) -1.570250924280 = 2*cos(100*π/127) -1.629586602958 = 2*cos(102*π/127) -1.684934410147 = 2*cos(104*π/127) -1.736158900487 = 2*cos(106*π/127) -1.783134719067 = 2*cos(108*π/127) -1.825746908186 = 2*cos(110*π/127) -1.863891188679 = 2*cos(112*π/127) -1.897474215098 = 2*cos(114*π/127) -1.926413804149 = 2*cos(116*π/127) -1.950639135810 = 2*cos(118*π/127) -1.970090926635 = 2*cos(120*π/127) -1.984721574830 = 2*cos(122*π/127) -1.994495276750 = 2*cos(124*π/127) -1.999388114506 = 2*cos(126*π/127) 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 C127 point group is 127, and the order of the principal axis (C127) is 127. The group has 64 irreducible representations. β The C127 point group is generated by one single symmetry element, C127. Therefore, it is a cyclic group. γ The lowest nonvanishing multipole moment in C127 is 2 (dipole moment). δ This is an Abelian point group (the commutative law holds between all symmetry operations). The C127 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 126 cases have been combined into 63 two-dimensional representations that are no longer irreducible but have real-valued characters. Accordingly, 63 pairs of left and right rotations have been combined into one two-membered pseudo-class each. ζ The 63 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.
| C125 | ||
| C126 | ||
| C127 | C127v C127h D127 D127h D127d | |
| C128 | ||
| C136 |
This Character Table for the C127 point group was created by Gernot Katzer.
For other groups and some explanations, see the Main Page.