C144 E 2 C144 2 C72 2 C48 2 C36 2 C144^5 2 C24 2 C144^7 2 C18 2 C16 2 C72^5 2 C144^11 2 C12 2 C144^13 2 C72^7 2 C48^5 2 C9 2 C144^17 2 C8 2 C144^19 2 C36^5 2 C48^7 2 C72^11 2 C144^23 2 C6 2 C144^25 2 C72^13 2 C16^3 2 C36^7 2 C144^29 2 C24^5 2 C144^31 2 C9^2 2 C48^11 2 C72^17 2 C144^35 2 C4 2 C144^37 2 C72^19 2 C48^13 2 C18^5 2 C144^41 2 C24^7 2 C144^43 2 C36^11 2 C16^5 2 C72^23 2 C144^47 2 C3 2 C144^49 2 C72^25 2 C48^17 2 C36^13 2 C144^53 2 C8^3 2 C144^55 2 C18^7 2 C48^19 2 C72^29 2 C144^59 2 C12^5 2 C144^61 2 C72^31 2 C16^7 2 C9^4 2 C144^65 2 C24^11 2 C144^67 2 C36^17 2 C48^23 2 C72^35 2 C144^71 C2 <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 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 B 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 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 -1.00000 1.00000 ... ... ..... ....... ......... ........... ............. E1 * 2.00000 1.99810 1.99239 1.98289 1.96962 1.95259 1.93185 1.90743 1.87939 1.84776 1.81262 1.77402 1.73205 1.68678 1.63830 1.58671 1.53209 1.47455 1.41421 1.35118 1.28558 1.21752 1.14715 1.07460 1.00000 0.92350 0.84524 0.76537 0.68404 0.60141 0.51764 0.43288 0.34730 0.26105 0.17431 0.08724 0.00000 -0.08724 -0.17431 -0.26105 -0.34730 -0.43288 -0.51764 -0.60141 -0.68404 -0.76537 -0.84524 -0.92350 -1.00000 -1.07460 -1.14715 -1.21752 -1.28558 -1.35118 -1.41421 -1.47455 -1.53209 -1.58671 -1.63830 -1.68678 -1.73205 -1.77402 -1.81262 -1.84776 -1.87939 -1.90743 -1.93185 -1.95259 -1.96962 -1.98289 -1.99239 -1.99810 -2.00000 TT. TT. ..TT. ....TT. ......TT. ........TT. ..........TT. E2 * 2.00000 1.99239 1.96962 1.93185 1.87939 1.81262 1.73205 1.63830 1.53209 1.41421 1.28558 1.14715 1.00000 0.84524 0.68404 0.51764 0.34730 0.17431 0.00000 -0.17431 -0.34730 -0.51764 -0.68404 -0.84524 -1.00000 -1.14715 -1.28558 -1.41421 -1.53209 -1.63830 -1.73205 -1.81262 -1.87939 -1.93185 -1.96962 -1.99239 -2.00000 -1.99239 -1.96962 -1.93185 -1.87939 -1.81262 -1.73205 -1.63830 -1.53209 -1.41421 -1.28558 -1.14715 -1.00000 -0.84524 -0.68404 -0.51764 -0.34730 -0.17431 0.00000 0.17431 0.34730 0.51764 0.68404 0.84524 1.00000 1.14715 1.28558 1.41421 1.53209 1.63830 1.73205 1.81262 1.87939 1.93185 1.96962 1.99239 2.00000 ... ... TT... ..TT... ....TT... ......TT... ........TT... E3 * 2.00000 1.98289 1.93185 1.84776 1.73205 1.58671 1.41421 1.21752 1.00000 0.76537 0.51764 0.26105 0.00000 -0.26105 -0.51764 -0.76537 -1.00000 -1.21752 -1.41421 -1.58671 -1.73205 -1.84776 -1.93185 -1.98289 -2.00000 -1.98289 -1.93185 -1.84776 -1.73205 -1.58671 -1.41421 -1.21752 -1.00000 -0.76537 -0.51764 -0.26105 0.00000 0.26105 0.51764 0.76537 1.00000 1.21752 1.41421 1.58671 1.73205 1.84776 1.93185 1.98289 2.00000 1.98289 1.93185 1.84776 1.73205 1.58671 1.41421 1.21752 1.00000 0.76537 0.51764 0.26105 0.00000 -0.26105 -0.51764 -0.76537 -1.00000 -1.21752 -1.41421 -1.58671 -1.73205 -1.84776 -1.93185 -1.98289 -2.00000 ... ... ..... TT..... ..TT..... ....TT..... ......TT..... E4 * 2.00000 1.96962 1.87939 1.73205 1.53209 1.28558 1.00000 0.68404 0.34730 0.00000 -0.34730 -0.68404 -1.00000 -1.28558 -1.53209 -1.73205 -1.87939 -1.96962 -2.00000 -1.96962 -1.87939 -1.73205 -1.53209 -1.28558 -1.00000 -0.68404 -0.34730 0.00000 0.34730 0.68404 1.00000 1.28558 1.53209 1.73205 1.87939 1.96962 2.00000 1.96962 1.87939 1.73205 1.53209 1.28558 1.00000 0.68404 0.34730 0.00000 -0.34730 -0.68404 -1.00000 -1.28558 -1.53209 -1.73205 -1.87939 -1.96962 -2.00000 -1.96962 -1.87939 -1.73205 -1.53209 -1.28558 -1.00000 -0.68404 -0.34730 0.00000 0.34730 0.68404 1.00000 1.28558 1.53209 1.73205 1.87939 1.96962 2.00000 ... ... ..... ....... TT....... ..TT....... ....TT....... E5 * 2.00000 1.95259 1.81262 1.58671 1.28558 0.92350 0.51764 0.08724 -0.34730 -0.76537 -1.14715 -1.47455 -1.73205 -1.90743 -1.99239 -1.98289 -1.87939 -1.68678 -1.41421 -1.07460 -0.68404 -0.26105 0.17431 0.60141 1.00000 1.35118 1.63830 1.84776 1.96962 1.99810 1.93185 1.77402 1.53209 1.21752 0.84524 0.43288 0.00000 -0.43288 -0.84524 -1.21752 -1.53209 -1.77402 -1.93185 -1.99810 -1.96962 -1.84776 -1.63830 -1.35118 -1.00000 -0.60141 -0.17431 0.26105 0.68404 1.07460 1.41421 1.68678 1.87939 1.98289 1.99239 1.90743 1.73205 1.47455 1.14715 0.76537 0.34730 -0.08724 -0.51764 -0.92350 -1.28558 -1.58671 -1.81262 -1.95259 -2.00000 ... ... ..... ....... ......... TT......... ..TT......... E6 * 2.00000 1.93185 1.73205 1.41421 1.00000 0.51764 0.00000 -0.51764 -1.00000 -1.41421 -1.73205 -1.93185 -2.00000 -1.93185 -1.73205 -1.41421 -1.00000 -0.51764 0.00000 0.51764 1.00000 1.41421 1.73205 1.93185 2.00000 1.93185 1.73205 1.41421 1.00000 0.51764 0.00000 -0.51764 -1.00000 -1.41421 -1.73205 -1.93185 -2.00000 -1.93185 -1.73205 -1.41421 -1.00000 -0.51764 0.00000 0.51764 1.00000 1.41421 1.73205 1.93185 2.00000 1.93185 1.73205 1.41421 1.00000 0.51764 0.00000 -0.51764 -1.00000 -1.41421 -1.73205 -1.93185 -2.00000 -1.93185 -1.73205 -1.41421 -1.00000 -0.51764 0.00000 0.51764 1.00000 1.41421 1.73205 1.93185 2.00000 ... ... ..... ....... ......... ........... TT........... E7 * 2.00000 1.90743 1.63830 1.21752 0.68404 0.08724 -0.51764 -1.07460 -1.53209 -1.84776 -1.99239 -1.95259 -1.73205 -1.35118 -0.84524 -0.26105 0.34730 0.92350 1.41421 1.77402 1.96962 1.98289 1.81262 1.47455 1.00000 0.43288 -0.17431 -0.76537 -1.28558 -1.68678 -1.93185 -1.99810 -1.87939 -1.58671 -1.14715 -0.60141 0.00000 0.60141 1.14715 1.58671 1.87939 1.99810 1.93185 1.68678 1.28558 0.76537 0.17431 -0.43288 -1.00000 -1.47455 -1.81262 -1.98289 -1.96962 -1.77402 -1.41421 -0.92350 -0.34730 0.26105 0.84524 1.35118 1.73205 1.95259 1.99239 1.84776 1.53209 1.07460 0.51764 -0.08724 -0.68404 -1.21752 -1.63830 -1.90743 -2.00000 ... ... ..... ....... ......... ........... ............. E8 * 2.00000 1.87939 1.53209 1.00000 0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730 0.34730 1.00000 1.53209 1.87939 2.00000 1.87939 1.53209 1.00000 0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730 0.34730 1.00000 1.53209 1.87939 2.00000 1.87939 1.53209 1.00000 0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730 0.34730 1.00000 1.53209 1.87939 2.00000 1.87939 1.53209 1.00000 0.34730 -0.34730 -1.00000 -1.53209 -1.87939 -2.00000 -1.87939 -1.53209 -1.00000 -0.34730 0.34730 1.00000 1.53209 1.87939 2.00000 ... ... ..... ....... ......... ........... ............. E9 * 2.00000 1.84776 1.41421 0.76537 0.00000 -0.76537 -1.41421 -1.84776 -2.00000 -1.84776 -1.41421 -0.76537 0.00000 0.76537 1.41421 1.84776 2.00000 1.84776 1.41421 0.76537 0.00000 -0.76537 -1.41421 -1.84776 -2.00000 -1.84776 -1.41421 -0.76537 0.00000 0.76537 1.41421 1.84776 2.00000 1.84776 1.41421 0.76537 0.00000 -0.76537 -1.41421 -1.84776 -2.00000 -1.84776 -1.41421 -0.76537 0.00000 0.76537 1.41421 1.84776 2.00000 1.84776 1.41421 0.76537 0.00000 -0.76537 -1.41421 -1.84776 -2.00000 -1.84776 -1.41421 -0.76537 0.00000 0.76537 1.41421 1.84776 2.00000 1.84776 1.41421 0.76537 0.00000 -0.76537 -1.41421 -1.84776 -2.00000 ... ... ..... ....... ......... ........... ............. E10 * 2.00000 1.81262 1.28558 0.51764 -0.34730 -1.14715 -1.73205 -1.99239 -1.87939 -1.41421 -0.68404 0.17431 1.00000 1.63830 1.96962 1.93185 1.53209 0.84524 0.00000 -0.84524 -1.53209 -1.93185 -1.96962 -1.63830 -1.00000 -0.17431 0.68404 1.41421 1.87939 1.99239 1.73205 1.14715 0.34730 -0.51764 -1.28558 -1.81262 -2.00000 -1.81262 -1.28558 -0.51764 0.34730 1.14715 1.73205 1.99239 1.87939 1.41421 0.68404 -0.17431 -1.00000 -1.63830 -1.96962 -1.93185 -1.53209 -0.84524 0.00000 0.84524 1.53209 1.93185 1.96962 1.63830 1.00000 0.17431 -0.68404 -1.41421 -1.87939 -1.99239 -1.73205 -1.14715 -0.34730 0.51764 1.28558 1.81262 2.00000 ... ... ..... ....... ......... ........... ............. E11 * 2.00000 1.77402 1.14715 0.26105 -0.68404 -1.47455 -1.93185 -1.95259 -1.53209 -0.76537 0.17431 1.07460 1.73205 1.99810 1.81262 1.21752 0.34730 -0.60141 -1.41421 -1.90743 -1.96962 -1.58671 -0.84524 0.08724 1.00000 1.68678 1.99239 1.84776 1.28558 0.43288 -0.51764 -1.35118 -1.87939 -1.98289 -1.63830 -0.92350 0.00000 0.92350 1.63830 1.98289 1.87939 1.35118 0.51764 -0.43288 -1.28558 -1.84776 -1.99239 -1.68678 -1.00000 -0.08724 0.84524 1.58671 1.96962 1.90743 1.41421 0.60141 -0.34730 -1.21752 -1.81262 -1.99810 -1.73205 -1.07460 -0.17431 0.76537 1.53209 1.95259 1.93185 1.47455 0.68404 -0.26105 -1.14715 -1.77402 -2.00000 ... ... ..... ....... ......... ........... ............. E12 * 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000 0.00000 1.00000 1.73205 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000 0.00000 1.00000 1.73205 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000 0.00000 1.00000 1.73205 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000 0.00000 1.00000 1.73205 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000 0.00000 1.00000 1.73205 2.00000 1.73205 1.00000 0.00000 -1.00000 -1.73205 -2.00000 -1.73205 -1.00000 0.00000 1.00000 1.73205 2.00000 ... ... ..... ....... ......... ........... ............. E13 * 2.00000 1.68678 0.84524 -0.26105 -1.28558 -1.90743 -1.93185 -1.35118 -0.34730 0.76537 1.63830 1.99810 1.73205 0.92350 -0.17431 -1.21752 -1.87939 -1.95259 -1.41421 -0.43288 0.68404 1.58671 1.99239 1.77402 1.00000 -0.08724 -1.14715 -1.84776 -1.96962 -1.47455 -0.51764 0.60141 1.53209 1.98289 1.81262 1.07460 0.00000 -1.07460 -1.81262 -1.98289 -1.53209 -0.60141 0.51764 1.47455 1.96962 1.84776 1.14715 0.08724 -1.00000 -1.77402 -1.99239 -1.58671 -0.68404 0.43288 1.41421 1.95259 1.87939 1.21752 0.17431 -0.92350 -1.73205 -1.99810 -1.63830 -0.76537 0.34730 1.35118 1.93185 1.90743 1.28558 0.26105 -0.84524 -1.68678 -2.00000 ... ... ..... ....... ......... ........... ............. E14 * 2.00000 1.63830 0.68404 -0.51764 -1.53209 -1.99239 -1.73205 -0.84524 0.34730 1.41421 1.96962 1.81262 1.00000 -0.17431 -1.28558 -1.93185 -1.87939 -1.14715 0.00000 1.14715 1.87939 1.93185 1.28558 0.17431 -1.00000 -1.81262 -1.96962 -1.41421 -0.34730 0.84524 1.73205 1.99239 1.53209 0.51764 -0.68404 -1.63830 -2.00000 -1.63830 -0.68404 0.51764 1.53209 1.99239 1.73205 0.84524 -0.34730 -1.41421 -1.96962 -1.81262 -1.00000 0.17431 1.28558 1.93185 1.87939 1.14715 0.00000 -1.14715 -1.87939 -1.93185 -1.28558 -0.17431 1.00000 1.81262 1.96962 1.41421 0.34730 -0.84524 -1.73205 -1.99239 -1.53209 -0.51764 0.68404 1.63830 2.00000 ... ... ..... ....... ......... ........... ............. E15 * 2.00000 1.58671 0.51764 -0.76537 -1.73205 -1.98289 -1.41421 -0.26105 1.00000 1.84776 1.93185 1.21752 0.00000 -1.21752 -1.93185 -1.84776 -1.00000 0.26105 1.41421 1.98289 1.73205 0.76537 -0.51764 -1.58671 -2.00000 -1.58671 -0.51764 0.76537 1.73205 1.98289 1.41421 0.26105 -1.00000 -1.84776 -1.93185 -1.21752 0.00000 1.21752 1.93185 1.84776 1.00000 -0.26105 -1.41421 -1.98289 -1.73205 -0.76537 0.51764 1.58671 2.00000 1.58671 0.51764 -0.76537 -1.73205 -1.98289 -1.41421 -0.26105 1.00000 1.84776 1.93185 1.21752 0.00000 -1.21752 -1.93185 -1.84776 -1.00000 0.26105 1.41421 1.98289 1.73205 0.76537 -0.51764 -1.58671 -2.00000 ... ... ..... ....... ......... ........... ............. E16 * 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 ... ... ..... ....... ......... ........... ............. E17 * 2.00000 1.47455 0.17431 -1.21752 -1.96962 -1.68678 -0.51764 0.92350 1.87939 1.84776 0.84524 -0.60141 -1.73205 -1.95259 -1.14715 0.26105 1.53209 1.99810 1.41421 0.08724 -1.28558 -1.98289 -1.63830 -0.43288 1.00000 1.90743 1.81262 0.76537 -0.68404 -1.77402 -1.93185 -1.07460 0.34730 1.58671 1.99239 1.35118 0.00000 -1.35118 -1.99239 -1.58671 -0.34730 1.07460 1.93185 1.77402 0.68404 -0.76537 -1.81262 -1.90743 -1.00000 0.43288 1.63830 1.98289 1.28558 -0.08724 -1.41421 -1.99810 -1.53209 -0.26105 1.14715 1.95259 1.73205 0.60141 -0.84524 -1.84776 -1.87939 -0.92350 0.51764 1.68678 1.96962 1.21752 -0.17431 -1.47455 -2.00000 ... ... ..... ....... ......... ........... ............. E18 * 2.00000 1.41421 0.00000 -1.41421 -2.00000 -1.41421 0.00000 1.41421 2.00000 1.41421 0.00000 -1.41421 -2.00000 -1.41421 0.00000 1.41421 2.00000 1.41421 0.00000 -1.41421 -2.00000 -1.41421 0.00000 1.41421 2.00000 1.41421 0.00000 -1.41421 -2.00000 -1.41421 0.00000 1.41421 2.00000 1.41421 0.00000 -1.41421 -2.00000 -1.41421 0.00000 1.41421 2.00000 1.41421 0.00000 -1.41421 -2.00000 -1.41421 0.00000 1.41421 2.00000 1.41421 0.00000 -1.41421 -2.00000 -1.41421 0.00000 1.41421 2.00000 1.41421 0.00000 -1.41421 -2.00000 -1.41421 0.00000 1.41421 2.00000 1.41421 0.00000 -1.41421 -2.00000 -1.41421 0.00000 1.41421 2.00000 ... ... ..... ....... ......... ........... ............. E19 * 2.00000 1.35118 -0.17431 -1.58671 -1.96962 -1.07460 0.51764 1.77402 1.87939 0.76537 -0.84524 -1.90743 -1.73205 -0.43288 1.14715 1.98289 1.53209 0.08724 -1.41421 -1.99810 -1.28558 0.26105 1.63830 1.95259 1.00000 -0.60141 -1.81262 -1.84776 -0.68404 0.92350 1.93185 1.68678 0.34730 -1.21752 -1.99239 -1.47455 0.00000 1.47455 1.99239 1.21752 -0.34730 -1.68678 -1.93185 -0.92350 0.68404 1.84776 1.81262 0.60141 -1.00000 -1.95259 -1.63830 -0.26105 1.28558 1.99810 1.41421 -0.08724 -1.53209 -1.98289 -1.14715 0.43288 1.73205 1.90743 0.84524 -0.76537 -1.87939 -1.77402 -0.51764 1.07460 1.96962 1.58671 0.17431 -1.35118 -2.00000 ... ... ..... ....... ......... ........... ............. E20 * 2.00000 1.28558 -0.34730 -1.73205 -1.87939 -0.68404 1.00000 1.96962 1.53209 0.00000 -1.53209 -1.96962 -1.00000 0.68404 1.87939 1.73205 0.34730 -1.28558 -2.00000 -1.28558 0.34730 1.73205 1.87939 0.68404 -1.00000 -1.96962 -1.53209 0.00000 1.53209 1.96962 1.00000 -0.68404 -1.87939 -1.73205 -0.34730 1.28558 2.00000 1.28558 -0.34730 -1.73205 -1.87939 -0.68404 1.00000 1.96962 1.53209 0.00000 -1.53209 -1.96962 -1.00000 0.68404 1.87939 1.73205 0.34730 -1.28558 -2.00000 -1.28558 0.34730 1.73205 1.87939 0.68404 -1.00000 -1.96962 -1.53209 0.00000 1.53209 1.96962 1.00000 -0.68404 -1.87939 -1.73205 -0.34730 1.28558 2.00000 ... ... ..... ....... ......... ........... ............. E21 * 2.00000 1.21752 -0.51764 -1.84776 -1.73205 -0.26105 1.41421 1.98289 1.00000 -0.76537 -1.93185 -1.58671 0.00000 1.58671 1.93185 0.76537 -1.00000 -1.98289 -1.41421 0.26105 1.73205 1.84776 0.51764 -1.21752 -2.00000 -1.21752 0.51764 1.84776 1.73205 0.26105 -1.41421 -1.98289 -1.00000 0.76537 1.93185 1.58671 0.00000 -1.58671 -1.93185 -0.76537 1.00000 1.98289 1.41421 -0.26105 -1.73205 -1.84776 -0.51764 1.21752 2.00000 1.21752 -0.51764 -1.84776 -1.73205 -0.26105 1.41421 1.98289 1.00000 -0.76537 -1.93185 -1.58671 0.00000 1.58671 1.93185 0.76537 -1.00000 -1.98289 -1.41421 0.26105 1.73205 1.84776 0.51764 -1.21752 -2.00000 ... ... ..... ....... ......... ........... ............. E22 * 2.00000 1.14715 -0.68404 -1.93185 -1.53209 0.17431 1.73205 1.81262 0.34730 -1.41421 -1.96962 -0.84524 1.00000 1.99239 1.28558 -0.51764 -1.87939 -1.63830 0.00000 1.63830 1.87939 0.51764 -1.28558 -1.99239 -1.00000 0.84524 1.96962 1.41421 -0.34730 -1.81262 -1.73205 -0.17431 1.53209 1.93185 0.68404 -1.14715 -2.00000 -1.14715 0.68404 1.93185 1.53209 -0.17431 -1.73205 -1.81262 -0.34730 1.41421 1.96962 0.84524 -1.00000 -1.99239 -1.28558 0.51764 1.87939 1.63830 0.00000 -1.63830 -1.87939 -0.51764 1.28558 1.99239 1.00000 -0.84524 -1.96962 -1.41421 0.34730 1.81262 1.73205 0.17431 -1.53209 -1.93185 -0.68404 1.14715 2.00000 ... ... ..... ....... ......... ........... ............. E23 * 2.00000 1.07460 -0.84524 -1.98289 -1.28558 0.60141 1.93185 1.47455 -0.34730 -1.84776 -1.63830 0.08724 1.73205 1.77402 0.17431 -1.58671 -1.87939 -0.43288 1.41421 1.95259 0.68404 -1.21752 -1.99239 -0.92350 1.00000 1.99810 1.14715 -0.76537 -1.96962 -1.35118 0.51764 1.90743 1.53209 -0.26105 -1.81262 -1.68678 0.00000 1.68678 1.81262 0.26105 -1.53209 -1.90743 -0.51764 1.35118 1.96962 0.76537 -1.14715 -1.99810 -1.00000 0.92350 1.99239 1.21752 -0.68404 -1.95259 -1.41421 0.43288 1.87939 1.58671 -0.17431 -1.77402 -1.73205 -0.08724 1.63830 1.84776 0.34730 -1.47455 -1.93185 -0.60141 1.28558 1.98289 0.84524 -1.07460 -2.00000 ... ... ..... ....... ......... ........... ............. E24 * 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 -1.00000 -2.00000 -1.00000 1.00000 2.00000 1.00000 -1.00000 -2.00000 -1.00000 1.00000 2.00000 ... ... ..... ....... ......... ........... ............. E25 * 2.00000 0.92350 -1.14715 -1.98289 -0.68404 1.35118 1.93185 0.43288 -1.53209 -1.84776 -0.17431 1.68678 1.73205 -0.08724 -1.81262 -1.58671 0.34730 1.90743 1.41421 -0.60141 -1.96962 -1.21752 0.84524 1.99810 1.00000 -1.07460 -1.99239 -0.76537 1.28558 1.95259 0.51764 -1.47455 -1.87939 -0.26105 1.63830 1.77402 0.00000 -1.77402 -1.63830 0.26105 1.87939 1.47455 -0.51764 -1.95259 -1.28558 0.76537 1.99239 1.07460 -1.00000 -1.99810 -0.84524 1.21752 1.96962 0.60141 -1.41421 -1.90743 -0.34730 1.58671 1.81262 0.08724 -1.73205 -1.68678 0.17431 1.84776 1.53209 -0.43288 -1.93185 -1.35118 0.68404 1.98289 1.14715 -0.92350 -2.00000 ... ... ..... ....... ......... ........... ............. E26 * 2.00000 0.84524 -1.28558 -1.93185 -0.34730 1.63830 1.73205 -0.17431 -1.87939 -1.41421 0.68404 1.99239 1.00000 -1.14715 -1.96962 -0.51764 1.53209 1.81262 0.00000 -1.81262 -1.53209 0.51764 1.96962 1.14715 -1.00000 -1.99239 -0.68404 1.41421 1.87939 0.17431 -1.73205 -1.63830 0.34730 1.93185 1.28558 -0.84524 -2.00000 -0.84524 1.28558 1.93185 0.34730 -1.63830 -1.73205 0.17431 1.87939 1.41421 -0.68404 -1.99239 -1.00000 1.14715 1.96962 0.51764 -1.53209 -1.81262 0.00000 1.81262 1.53209 -0.51764 -1.96962 -1.14715 1.00000 1.99239 0.68404 -1.41421 -1.87939 -0.17431 1.73205 1.63830 -0.34730 -1.93185 -1.28558 0.84524 2.00000 ... ... ..... ....... ......... ........... ............. E27 * 2.00000 0.76537 -1.41421 -1.84776 0.00000 1.84776 1.41421 -0.76537 -2.00000 -0.76537 1.41421 1.84776 0.00000 -1.84776 -1.41421 0.76537 2.00000 0.76537 -1.41421 -1.84776 0.00000 1.84776 1.41421 -0.76537 -2.00000 -0.76537 1.41421 1.84776 0.00000 -1.84776 -1.41421 0.76537 2.00000 0.76537 -1.41421 -1.84776 0.00000 1.84776 1.41421 -0.76537 -2.00000 -0.76537 1.41421 1.84776 0.00000 -1.84776 -1.41421 0.76537 2.00000 0.76537 -1.41421 -1.84776 0.00000 1.84776 1.41421 -0.76537 -2.00000 -0.76537 1.41421 1.84776 0.00000 -1.84776 -1.41421 0.76537 2.00000 0.76537 -1.41421 -1.84776 0.00000 1.84776 1.41421 -0.76537 -2.00000 ... ... ..... ....... ......... ........... ............. E28 * 2.00000 0.68404 -1.53209 -1.73205 0.34730 1.96962 1.00000 -1.28558 -1.87939 0.00000 1.87939 1.28558 -1.00000 -1.96962 -0.34730 1.73205 1.53209 -0.68404 -2.00000 -0.68404 1.53209 1.73205 -0.34730 -1.96962 -1.00000 1.28558 1.87939 0.00000 -1.87939 -1.28558 1.00000 1.96962 0.34730 -1.73205 -1.53209 0.68404 2.00000 0.68404 -1.53209 -1.73205 0.34730 1.96962 1.00000 -1.28558 -1.87939 0.00000 1.87939 1.28558 -1.00000 -1.96962 -0.34730 1.73205 1.53209 -0.68404 -2.00000 -0.68404 1.53209 1.73205 -0.34730 -1.96962 -1.00000 1.28558 1.87939 0.00000 -1.87939 -1.28558 1.00000 1.96962 0.34730 -1.73205 -1.53209 0.68404 2.00000 ... ... ..... ....... ......... ........... ............. E29 * 2.00000 0.60141 -1.63830 -1.58671 0.68404 1.99810 0.51764 -1.68678 -1.53209 0.76537 1.99239 0.43288 -1.73205 -1.47455 0.84524 1.98289 0.34730 -1.77402 -1.41421 0.92350 1.96962 0.26105 -1.81262 -1.35118 1.00000 1.95259 0.17431 -1.84776 -1.28558 1.07460 1.93185 0.08724 -1.87939 -1.21752 1.14715 1.90743 0.00000 -1.90743 -1.14715 1.21752 1.87939 -0.08724 -1.93185 -1.07460 1.28558 1.84776 -0.17431 -1.95259 -1.00000 1.35118 1.81262 -0.26105 -1.96962 -0.92350 1.41421 1.77402 -0.34730 -1.98289 -0.84524 1.47455 1.73205 -0.43288 -1.99239 -0.76537 1.53209 1.68678 -0.51764 -1.99810 -0.68404 1.58671 1.63830 -0.60141 -2.00000 ... ... ..... ....... ......... ........... ............. E30 * 2.00000 0.51764 -1.73205 -1.41421 1.00000 1.93185 0.00000 -1.93185 -1.00000 1.41421 1.73205 -0.51764 -2.00000 -0.51764 1.73205 1.41421 -1.00000 -1.93185 0.00000 1.93185 1.00000 -1.41421 -1.73205 0.51764 2.00000 0.51764 -1.73205 -1.41421 1.00000 1.93185 0.00000 -1.93185 -1.00000 1.41421 1.73205 -0.51764 -2.00000 -0.51764 1.73205 1.41421 -1.00000 -1.93185 0.00000 1.93185 1.00000 -1.41421 -1.73205 0.51764 2.00000 0.51764 -1.73205 -1.41421 1.00000 1.93185 0.00000 -1.93185 -1.00000 1.41421 1.73205 -0.51764 -2.00000 -0.51764 1.73205 1.41421 -1.00000 -1.93185 0.00000 1.93185 1.00000 -1.41421 -1.73205 0.51764 2.00000 ... ... ..... ....... ......... ........... ............. E31 * 2.00000 0.43288 -1.81262 -1.21752 1.28558 1.77402 -0.51764 -1.99810 -0.34730 1.84776 1.14715 -1.35118 -1.73205 0.60141 1.99239 0.26105 -1.87939 -1.07460 1.41421 1.68678 -0.68404 -1.98289 -0.17431 1.90743 1.00000 -1.47455 -1.63830 0.76537 1.96962 0.08724 -1.93185 -0.92350 1.53209 1.58671 -0.84524 -1.95259 0.00000 1.95259 0.84524 -1.58671 -1.53209 0.92350 1.93185 -0.08724 -1.96962 -0.76537 1.63830 1.47455 -1.00000 -1.90743 0.17431 1.98289 0.68404 -1.68678 -1.41421 1.07460 1.87939 -0.26105 -1.99239 -0.60141 1.73205 1.35118 -1.14715 -1.84776 0.34730 1.99810 0.51764 -1.77402 -1.28558 1.21752 1.81262 -0.43288 -2.00000 ... ... ..... ....... ......... ........... ............. E32 * 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 ... ... ..... ....... ......... ........... ............. E33 * 2.00000 0.26105 -1.93185 -0.76537 1.73205 1.21752 -1.41421 -1.58671 1.00000 1.84776 -0.51764 -1.98289 0.00000 1.98289 0.51764 -1.84776 -1.00000 1.58671 1.41421 -1.21752 -1.73205 0.76537 1.93185 -0.26105 -2.00000 -0.26105 1.93185 0.76537 -1.73205 -1.21752 1.41421 1.58671 -1.00000 -1.84776 0.51764 1.98289 0.00000 -1.98289 -0.51764 1.84776 1.00000 -1.58671 -1.41421 1.21752 1.73205 -0.76537 -1.93185 0.26105 2.00000 0.26105 -1.93185 -0.76537 1.73205 1.21752 -1.41421 -1.58671 1.00000 1.84776 -0.51764 -1.98289 0.00000 1.98289 0.51764 -1.84776 -1.00000 1.58671 1.41421 -1.21752 -1.73205 0.76537 1.93185 -0.26105 -2.00000 ... ... ..... ....... ......... ........... ............. E34 * 2.00000 0.17431 -1.96962 -0.51764 1.87939 0.84524 -1.73205 -1.14715 1.53209 1.41421 -1.28558 -1.63830 1.00000 1.81262 -0.68404 -1.93185 0.34730 1.99239 0.00000 -1.99239 -0.34730 1.93185 0.68404 -1.81262 -1.00000 1.63830 1.28558 -1.41421 -1.53209 1.14715 1.73205 -0.84524 -1.87939 0.51764 1.96962 -0.17431 -2.00000 -0.17431 1.96962 0.51764 -1.87939 -0.84524 1.73205 1.14715 -1.53209 -1.41421 1.28558 1.63830 -1.00000 -1.81262 0.68404 1.93185 -0.34730 -1.99239 0.00000 1.99239 0.34730 -1.93185 -0.68404 1.81262 1.00000 -1.63830 -1.28558 1.41421 1.53209 -1.14715 -1.73205 0.84524 1.87939 -0.51764 -1.96962 0.17431 2.00000 ... ... ..... ....... ......... ........... ............. E35 * 2.00000 0.08724 -1.99239 -0.26105 1.96962 0.43288 -1.93185 -0.60141 1.87939 0.76537 -1.81262 -0.92350 1.73205 1.07460 -1.63830 -1.21752 1.53209 1.35118 -1.41421 -1.47455 1.28558 1.58671 -1.14715 -1.68678 1.00000 1.77402 -0.84524 -1.84776 0.68404 1.90743 -0.51764 -1.95259 0.34730 1.98289 -0.17431 -1.99810 0.00000 1.99810 0.17431 -1.98289 -0.34730 1.95259 0.51764 -1.90743 -0.68404 1.84776 0.84524 -1.77402 -1.00000 1.68678 1.14715 -1.58671 -1.28558 1.47455 1.41421 -1.35118 -1.53209 1.21752 1.63830 -1.07460 -1.73205 0.92350 1.81262 -0.76537 -1.87939 0.60141 1.93185 -0.43288 -1.96962 0.26105 1.99239 -0.08724 -2.00000 ... ... ..... ....... ......... ........... ............. E36 * 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 0.00000 -2.00000 0.00000 2.00000 ... ... ..... ....... ......... ........... ............. E37 * 2.00000 -0.08724 -1.99239 0.26105 1.96962 -0.43288 -1.93185 0.60141 1.87939 -0.76537 -1.81262 0.92350 1.73205 -1.07460 -1.63830 1.21752 1.53209 -1.35118 -1.41421 1.47455 1.28558 -1.58671 -1.14715 1.68678 1.00000 -1.77402 -0.84524 1.84776 0.68404 -1.90743 -0.51764 1.95259 0.34730 -1.98289 -0.17431 1.99810 0.00000 -1.99810 0.17431 1.98289 -0.34730 -1.95259 0.51764 1.90743 -0.68404 -1.84776 0.84524 1.77402 -1.00000 -1.68678 1.14715 1.58671 -1.28558 -1.47455 1.41421 1.35118 -1.53209 -1.21752 1.63830 1.07460 -1.73205 -0.92350 1.81262 0.76537 -1.87939 -0.60141 1.93185 0.43288 -1.96962 -0.26105 1.99239 0.08724 -2.00000 ... ... ..... ....... ......... ........... ............. E38 * 2.00000 -0.17431 -1.96962 0.51764 1.87939 -0.84524 -1.73205 1.14715 1.53209 -1.41421 -1.28558 1.63830 1.00000 -1.81262 -0.68404 1.93185 0.34730 -1.99239 0.00000 1.99239 -0.34730 -1.93185 0.68404 1.81262 -1.00000 -1.63830 1.28558 1.41421 -1.53209 -1.14715 1.73205 0.84524 -1.87939 -0.51764 1.96962 0.17431 -2.00000 0.17431 1.96962 -0.51764 -1.87939 0.84524 1.73205 -1.14715 -1.53209 1.41421 1.28558 -1.63830 -1.00000 1.81262 0.68404 -1.93185 -0.34730 1.99239 0.00000 -1.99239 0.34730 1.93185 -0.68404 -1.81262 1.00000 1.63830 -1.28558 -1.41421 1.53209 1.14715 -1.73205 -0.84524 1.87939 0.51764 -1.96962 -0.17431 2.00000 ... ... ..... ....... ......... ........... ............. E39 * 2.00000 -0.26105 -1.93185 0.76537 1.73205 -1.21752 -1.41421 1.58671 1.00000 -1.84776 -0.51764 1.98289 0.00000 -1.98289 0.51764 1.84776 -1.00000 -1.58671 1.41421 1.21752 -1.73205 -0.76537 1.93185 0.26105 -2.00000 0.26105 1.93185 -0.76537 -1.73205 1.21752 1.41421 -1.58671 -1.00000 1.84776 0.51764 -1.98289 0.00000 1.98289 -0.51764 -1.84776 1.00000 1.58671 -1.41421 -1.21752 1.73205 0.76537 -1.93185 -0.26105 2.00000 -0.26105 -1.93185 0.76537 1.73205 -1.21752 -1.41421 1.58671 1.00000 -1.84776 -0.51764 1.98289 0.00000 -1.98289 0.51764 1.84776 -1.00000 -1.58671 1.41421 1.21752 -1.73205 -0.76537 1.93185 0.26105 -2.00000 ... ... ..... ....... ......... ........... ............. E40 * 2.00000 -0.34730 -1.87939 1.00000 1.53209 -1.53209 -1.00000 1.87939 0.34730 -2.00000 0.34730 1.87939 -1.00000 -1.53209 1.53209 1.00000 -1.87939 -0.34730 2.00000 -0.34730 -1.87939 1.00000 1.53209 -1.53209 -1.00000 1.87939 0.34730 -2.00000 0.34730 1.87939 -1.00000 -1.53209 1.53209 1.00000 -1.87939 -0.34730 2.00000 -0.34730 -1.87939 1.00000 1.53209 -1.53209 -1.00000 1.87939 0.34730 -2.00000 0.34730 1.87939 -1.00000 -1.53209 1.53209 1.00000 -1.87939 -0.34730 2.00000 -0.34730 -1.87939 1.00000 1.53209 -1.53209 -1.00000 1.87939 0.34730 -2.00000 0.34730 1.87939 -1.00000 -1.53209 1.53209 1.00000 -1.87939 -0.34730 2.00000 ... ... ..... ....... ......... ........... ............. E41 * 2.00000 -0.43288 -1.81262 1.21752 1.28558 -1.77402 -0.51764 1.99810 -0.34730 -1.84776 1.14715 1.35118 -1.73205 -0.60141 1.99239 -0.26105 -1.87939 1.07460 1.41421 -1.68678 -0.68404 1.98289 -0.17431 -1.90743 1.00000 1.47455 -1.63830 -0.76537 1.96962 -0.08724 -1.93185 0.92350 1.53209 -1.58671 -0.84524 1.95259 0.00000 -1.95259 0.84524 1.58671 -1.53209 -0.92350 1.93185 0.08724 -1.96962 0.76537 1.63830 -1.47455 -1.00000 1.90743 0.17431 -1.98289 0.68404 1.68678 -1.41421 -1.07460 1.87939 0.26105 -1.99239 0.60141 1.73205 -1.35118 -1.14715 1.84776 0.34730 -1.99810 0.51764 1.77402 -1.28558 -1.21752 1.81262 0.43288 -2.00000 ... ... ..... ....... ......... ........... ............. E42 * 2.00000 -0.51764 -1.73205 1.41421 1.00000 -1.93185 0.00000 1.93185 -1.00000 -1.41421 1.73205 0.51764 -2.00000 0.51764 1.73205 -1.41421 -1.00000 1.93185 0.00000 -1.93185 1.00000 1.41421 -1.73205 -0.51764 2.00000 -0.51764 -1.73205 1.41421 1.00000 -1.93185 0.00000 1.93185 -1.00000 -1.41421 1.73205 0.51764 -2.00000 0.51764 1.73205 -1.41421 -1.00000 1.93185 0.00000 -1.93185 1.00000 1.41421 -1.73205 -0.51764 2.00000 -0.51764 -1.73205 1.41421 1.00000 -1.93185 0.00000 1.93185 -1.00000 -1.41421 1.73205 0.51764 -2.00000 0.51764 1.73205 -1.41421 -1.00000 1.93185 0.00000 -1.93185 1.00000 1.41421 -1.73205 -0.51764 2.00000 ... ... ..... ....... ......... ........... ............. E43 * 2.00000 -0.60141 -1.63830 1.58671 0.68404 -1.99810 0.51764 1.68678 -1.53209 -0.76537 1.99239 -0.43288 -1.73205 1.47455 0.84524 -1.98289 0.34730 1.77402 -1.41421 -0.92350 1.96962 -0.26105 -1.81262 1.35118 1.00000 -1.95259 0.17431 1.84776 -1.28558 -1.07460 1.93185 -0.08724 -1.87939 1.21752 1.14715 -1.90743 0.00000 1.90743 -1.14715 -1.21752 1.87939 0.08724 -1.93185 1.07460 1.28558 -1.84776 -0.17431 1.95259 -1.00000 -1.35118 1.81262 0.26105 -1.96962 0.92350 1.41421 -1.77402 -0.34730 1.98289 -0.84524 -1.47455 1.73205 0.43288 -1.99239 0.76537 1.53209 -1.68678 -0.51764 1.99810 -0.68404 -1.58671 1.63830 0.60141 -2.00000 ... ... ..... ....... ......... ........... ............. E44 * 2.00000 -0.68404 -1.53209 1.73205 0.34730 -1.96962 1.00000 1.28558 -1.87939 0.00000 1.87939 -1.28558 -1.00000 1.96962 -0.34730 -1.73205 1.53209 0.68404 -2.00000 0.68404 1.53209 -1.73205 -0.34730 1.96962 -1.00000 -1.28558 1.87939 0.00000 -1.87939 1.28558 1.00000 -1.96962 0.34730 1.73205 -1.53209 -0.68404 2.00000 -0.68404 -1.53209 1.73205 0.34730 -1.96962 1.00000 1.28558 -1.87939 0.00000 1.87939 -1.28558 -1.00000 1.96962 -0.34730 -1.73205 1.53209 0.68404 -2.00000 0.68404 1.53209 -1.73205 -0.34730 1.96962 -1.00000 -1.28558 1.87939 0.00000 -1.87939 1.28558 1.00000 -1.96962 0.34730 1.73205 -1.53209 -0.68404 2.00000 ... ... ..... ....... ......... ........... ............. E45 * 2.00000 -0.76537 -1.41421 1.84776 0.00000 -1.84776 1.41421 0.76537 -2.00000 0.76537 1.41421 -1.84776 0.00000 1.84776 -1.41421 -0.76537 2.00000 -0.76537 -1.41421 1.84776 0.00000 -1.84776 1.41421 0.76537 -2.00000 0.76537 1.41421 -1.84776 0.00000 1.84776 -1.41421 -0.76537 2.00000 -0.76537 -1.41421 1.84776 0.00000 -1.84776 1.41421 0.76537 -2.00000 0.76537 1.41421 -1.84776 0.00000 1.84776 -1.41421 -0.76537 2.00000 -0.76537 -1.41421 1.84776 0.00000 -1.84776 1.41421 0.76537 -2.00000 0.76537 1.41421 -1.84776 0.00000 1.84776 -1.41421 -0.76537 2.00000 -0.76537 -1.41421 1.84776 0.00000 -1.84776 1.41421 0.76537 -2.00000 ... ... ..... ....... ......... ........... ............. E46 * 2.00000 -0.84524 -1.28558 1.93185 -0.34730 -1.63830 1.73205 0.17431 -1.87939 1.41421 0.68404 -1.99239 1.00000 1.14715 -1.96962 0.51764 1.53209 -1.81262 0.00000 1.81262 -1.53209 -0.51764 1.96962 -1.14715 -1.00000 1.99239 -0.68404 -1.41421 1.87939 -0.17431 -1.73205 1.63830 0.34730 -1.93185 1.28558 0.84524 -2.00000 0.84524 1.28558 -1.93185 0.34730 1.63830 -1.73205 -0.17431 1.87939 -1.41421 -0.68404 1.99239 -1.00000 -1.14715 1.96962 -0.51764 -1.53209 1.81262 0.00000 -1.81262 1.53209 0.51764 -1.96962 1.14715 1.00000 -1.99239 0.68404 1.41421 -1.87939 0.17431 1.73205 -1.63830 -0.34730 1.93185 -1.28558 -0.84524 2.00000 ... ... ..... ....... ......... ........... ............. E47 * 2.00000 -0.92350 -1.14715 1.98289 -0.68404 -1.35118 1.93185 -0.43288 -1.53209 1.84776 -0.17431 -1.68678 1.73205 0.08724 -1.81262 1.58671 0.34730 -1.90743 1.41421 0.60141 -1.96962 1.21752 0.84524 -1.99810 1.00000 1.07460 -1.99239 0.76537 1.28558 -1.95259 0.51764 1.47455 -1.87939 0.26105 1.63830 -1.77402 0.00000 1.77402 -1.63830 -0.26105 1.87939 -1.47455 -0.51764 1.95259 -1.28558 -0.76537 1.99239 -1.07460 -1.00000 1.99810 -0.84524 -1.21752 1.96962 -0.60141 -1.41421 1.90743 -0.34730 -1.58671 1.81262 -0.08724 -1.73205 1.68678 0.17431 -1.84776 1.53209 0.43288 -1.93185 1.35118 0.68404 -1.98289 1.14715 0.92350 -2.00000 ... ... ..... ....... ......... ........... ............. E48 * 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 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 ... ... ..... ....... ......... ........... ............. E49 * 2.00000 -1.07460 -0.84524 1.98289 -1.28558 -0.60141 1.93185 -1.47455 -0.34730 1.84776 -1.63830 -0.08724 1.73205 -1.77402 0.17431 1.58671 -1.87939 0.43288 1.41421 -1.95259 0.68404 1.21752 -1.99239 0.92350 1.00000 -1.99810 1.14715 0.76537 -1.96962 1.35118 0.51764 -1.90743 1.53209 0.26105 -1.81262 1.68678 0.00000 -1.68678 1.81262 -0.26105 -1.53209 1.90743 -0.51764 -1.35118 1.96962 -0.76537 -1.14715 1.99810 -1.00000 -0.92350 1.99239 -1.21752 -0.68404 1.95259 -1.41421 -0.43288 1.87939 -1.58671 -0.17431 1.77402 -1.73205 0.08724 1.63830 -1.84776 0.34730 1.47455 -1.93185 0.60141 1.28558 -1.98289 0.84524 1.07460 -2.00000 ... ... ..... ....... ......... ........... ............. E50 * 2.00000 -1.14715 -0.68404 1.93185 -1.53209 -0.17431 1.73205 -1.81262 0.34730 1.41421 -1.96962 0.84524 1.00000 -1.99239 1.28558 0.51764 -1.87939 1.63830 0.00000 -1.63830 1.87939 -0.51764 -1.28558 1.99239 -1.00000 -0.84524 1.96962 -1.41421 -0.34730 1.81262 -1.73205 0.17431 1.53209 -1.93185 0.68404 1.14715 -2.00000 1.14715 0.68404 -1.93185 1.53209 0.17431 -1.73205 1.81262 -0.34730 -1.41421 1.96962 -0.84524 -1.00000 1.99239 -1.28558 -0.51764 1.87939 -1.63830 0.00000 1.63830 -1.87939 0.51764 1.28558 -1.99239 1.00000 0.84524 -1.96962 1.41421 0.34730 -1.81262 1.73205 -0.17431 -1.53209 1.93185 -0.68404 -1.14715 2.00000 ... ... ..... ....... ......... ........... ............. E51 * 2.00000 -1.21752 -0.51764 1.84776 -1.73205 0.26105 1.41421 -1.98289 1.00000 0.76537 -1.93185 1.58671 0.00000 -1.58671 1.93185 -0.76537 -1.00000 1.98289 -1.41421 -0.26105 1.73205 -1.84776 0.51764 1.21752 -2.00000 1.21752 0.51764 -1.84776 1.73205 -0.26105 -1.41421 1.98289 -1.00000 -0.76537 1.93185 -1.58671 0.00000 1.58671 -1.93185 0.76537 1.00000 -1.98289 1.41421 0.26105 -1.73205 1.84776 -0.51764 -1.21752 2.00000 -1.21752 -0.51764 1.84776 -1.73205 0.26105 1.41421 -1.98289 1.00000 0.76537 -1.93185 1.58671 0.00000 -1.58671 1.93185 -0.76537 -1.00000 1.98289 -1.41421 -0.26105 1.73205 -1.84776 0.51764 1.21752 -2.00000 ... ... ..... ....... ......... ........... ............. E52 * 2.00000 -1.28558 -0.34730 1.73205 -1.87939 0.68404 1.00000 -1.96962 1.53209 0.00000 -1.53209 1.96962 -1.00000 -0.68404 1.87939 -1.73205 0.34730 1.28558 -2.00000 1.28558 0.34730 -1.73205 1.87939 -0.68404 -1.00000 1.96962 -1.53209 0.00000 1.53209 -1.96962 1.00000 0.68404 -1.87939 1.73205 -0.34730 -1.28558 2.00000 -1.28558 -0.34730 1.73205 -1.87939 0.68404 1.00000 -1.96962 1.53209 0.00000 -1.53209 1.96962 -1.00000 -0.68404 1.87939 -1.73205 0.34730 1.28558 -2.00000 1.28558 0.34730 -1.73205 1.87939 -0.68404 -1.00000 1.96962 -1.53209 0.00000 1.53209 -1.96962 1.00000 0.68404 -1.87939 1.73205 -0.34730 -1.28558 2.00000 ... ... ..... ....... ......... ........... ............. E53 * 2.00000 -1.35118 -0.17431 1.58671 -1.96962 1.07460 0.51764 -1.77402 1.87939 -0.76537 -0.84524 1.90743 -1.73205 0.43288 1.14715 -1.98289 1.53209 -0.08724 -1.41421 1.99810 -1.28558 -0.26105 1.63830 -1.95259 1.00000 0.60141 -1.81262 1.84776 -0.68404 -0.92350 1.93185 -1.68678 0.34730 1.21752 -1.99239 1.47455 0.00000 -1.47455 1.99239 -1.21752 -0.34730 1.68678 -1.93185 0.92350 0.68404 -1.84776 1.81262 -0.60141 -1.00000 1.95259 -1.63830 0.26105 1.28558 -1.99810 1.41421 0.08724 -1.53209 1.98289 -1.14715 -0.43288 1.73205 -1.90743 0.84524 0.76537 -1.87939 1.77402 -0.51764 -1.07460 1.96962 -1.58671 0.17431 1.35118 -2.00000 ... ... ..... ....... ......... ........... ............. E54 * 2.00000 -1.41421 0.00000 1.41421 -2.00000 1.41421 0.00000 -1.41421 2.00000 -1.41421 0.00000 1.41421 -2.00000 1.41421 0.00000 -1.41421 2.00000 -1.41421 0.00000 1.41421 -2.00000 1.41421 0.00000 -1.41421 2.00000 -1.41421 0.00000 1.41421 -2.00000 1.41421 0.00000 -1.41421 2.00000 -1.41421 0.00000 1.41421 -2.00000 1.41421 0.00000 -1.41421 2.00000 -1.41421 0.00000 1.41421 -2.00000 1.41421 0.00000 -1.41421 2.00000 -1.41421 0.00000 1.41421 -2.00000 1.41421 0.00000 -1.41421 2.00000 -1.41421 0.00000 1.41421 -2.00000 1.41421 0.00000 -1.41421 2.00000 -1.41421 0.00000 1.41421 -2.00000 1.41421 0.00000 -1.41421 2.00000 ... ... ..... ....... ......... ........... ............. E55 * 2.00000 -1.47455 0.17431 1.21752 -1.96962 1.68678 -0.51764 -0.92350 1.87939 -1.84776 0.84524 0.60141 -1.73205 1.95259 -1.14715 -0.26105 1.53209 -1.99810 1.41421 -0.08724 -1.28558 1.98289 -1.63830 0.43288 1.00000 -1.90743 1.81262 -0.76537 -0.68404 1.77402 -1.93185 1.07460 0.34730 -1.58671 1.99239 -1.35118 0.00000 1.35118 -1.99239 1.58671 -0.34730 -1.07460 1.93185 -1.77402 0.68404 0.76537 -1.81262 1.90743 -1.00000 -0.43288 1.63830 -1.98289 1.28558 0.08724 -1.41421 1.99810 -1.53209 0.26105 1.14715 -1.95259 1.73205 -0.60141 -0.84524 1.84776 -1.87939 0.92350 0.51764 -1.68678 1.96962 -1.21752 -0.17431 1.47455 -2.00000 ... ... ..... ....... ......... ........... ............. E56 * 2.00000 -1.53209 0.34730 1.00000 -1.87939 1.87939 -1.00000 -0.34730 1.53209 -2.00000 1.53209 -0.34730 -1.00000 1.87939 -1.87939 1.00000 0.34730 -1.53209 2.00000 -1.53209 0.34730 1.00000 -1.87939 1.87939 -1.00000 -0.34730 1.53209 -2.00000 1.53209 -0.34730 -1.00000 1.87939 -1.87939 1.00000 0.34730 -1.53209 2.00000 -1.53209 0.34730 1.00000 -1.87939 1.87939 -1.00000 -0.34730 1.53209 -2.00000 1.53209 -0.34730 -1.00000 1.87939 -1.87939 1.00000 0.34730 -1.53209 2.00000 -1.53209 0.34730 1.00000 -1.87939 1.87939 -1.00000 -0.34730 1.53209 -2.00000 1.53209 -0.34730 -1.00000 1.87939 -1.87939 1.00000 0.34730 -1.53209 2.00000 ... ... ..... ....... ......... ........... ............. E57 * 2.00000 -1.58671 0.51764 0.76537 -1.73205 1.98289 -1.41421 0.26105 1.00000 -1.84776 1.93185 -1.21752 0.00000 1.21752 -1.93185 1.84776 -1.00000 -0.26105 1.41421 -1.98289 1.73205 -0.76537 -0.51764 1.58671 -2.00000 1.58671 -0.51764 -0.76537 1.73205 -1.98289 1.41421 -0.26105 -1.00000 1.84776 -1.93185 1.21752 0.00000 -1.21752 1.93185 -1.84776 1.00000 0.26105 -1.41421 1.98289 -1.73205 0.76537 0.51764 -1.58671 2.00000 -1.58671 0.51764 0.76537 -1.73205 1.98289 -1.41421 0.26105 1.00000 -1.84776 1.93185 -1.21752 0.00000 1.21752 -1.93185 1.84776 -1.00000 -0.26105 1.41421 -1.98289 1.73205 -0.76537 -0.51764 1.58671 -2.00000 ... ... ..... ....... ......... ........... ............. E58 * 2.00000 -1.63830 0.68404 0.51764 -1.53209 1.99239 -1.73205 0.84524 0.34730 -1.41421 1.96962 -1.81262 1.00000 0.17431 -1.28558 1.93185 -1.87939 1.14715 0.00000 -1.14715 1.87939 -1.93185 1.28558 -0.17431 -1.00000 1.81262 -1.96962 1.41421 -0.34730 -0.84524 1.73205 -1.99239 1.53209 -0.51764 -0.68404 1.63830 -2.00000 1.63830 -0.68404 -0.51764 1.53209 -1.99239 1.73205 -0.84524 -0.34730 1.41421 -1.96962 1.81262 -1.00000 -0.17431 1.28558 -1.93185 1.87939 -1.14715 0.00000 1.14715 -1.87939 1.93185 -1.28558 0.17431 1.00000 -1.81262 1.96962 -1.41421 0.34730 0.84524 -1.73205 1.99239 -1.53209 0.51764 0.68404 -1.63830 2.00000 ... ... ..... ....... ......... ........... ............. E59 * 2.00000 -1.68678 0.84524 0.26105 -1.28558 1.90743 -1.93185 1.35118 -0.34730 -0.76537 1.63830 -1.99810 1.73205 -0.92350 -0.17431 1.21752 -1.87939 1.95259 -1.41421 0.43288 0.68404 -1.58671 1.99239 -1.77402 1.00000 0.08724 -1.14715 1.84776 -1.96962 1.47455 -0.51764 -0.60141 1.53209 -1.98289 1.81262 -1.07460 0.00000 1.07460 -1.81262 1.98289 -1.53209 0.60141 0.51764 -1.47455 1.96962 -1.84776 1.14715 -0.08724 -1.00000 1.77402 -1.99239 1.58671 -0.68404 -0.43288 1.41421 -1.95259 1.87939 -1.21752 0.17431 0.92350 -1.73205 1.99810 -1.63830 0.76537 0.34730 -1.35118 1.93185 -1.90743 1.28558 -0.26105 -0.84524 1.68678 -2.00000 ... ... ..... ....... ......... ........... ............. E60 * 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 1.73205 -1.00000 0.00000 1.00000 -1.73205 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 1.73205 -1.00000 0.00000 1.00000 -1.73205 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 1.73205 -1.00000 0.00000 1.00000 -1.73205 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 1.73205 -1.00000 0.00000 1.00000 -1.73205 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 1.73205 -1.00000 0.00000 1.00000 -1.73205 2.00000 -1.73205 1.00000 0.00000 -1.00000 1.73205 -2.00000 1.73205 -1.00000 0.00000 1.00000 -1.73205 2.00000 ... ... ..... ....... ......... ........... ............. E61 * 2.00000 -1.77402 1.14715 -0.26105 -0.68404 1.47455 -1.93185 1.95259 -1.53209 0.76537 0.17431 -1.07460 1.73205 -1.99810 1.81262 -1.21752 0.34730 0.60141 -1.41421 1.90743 -1.96962 1.58671 -0.84524 -0.08724 1.00000 -1.68678 1.99239 -1.84776 1.28558 -0.43288 -0.51764 1.35118 -1.87939 1.98289 -1.63830 0.92350 0.00000 -0.92350 1.63830 -1.98289 1.87939 -1.35118 0.51764 0.43288 -1.28558 1.84776 -1.99239 1.68678 -1.00000 0.08724 0.84524 -1.58671 1.96962 -1.90743 1.41421 -0.60141 -0.34730 1.21752 -1.81262 1.99810 -1.73205 1.07460 -0.17431 -0.76537 1.53209 -1.95259 1.93185 -1.47455 0.68404 0.26105 -1.14715 1.77402 -2.00000 ... ... ..... ....... ......... ........... ............. E62 * 2.00000 -1.81262 1.28558 -0.51764 -0.34730 1.14715 -1.73205 1.99239 -1.87939 1.41421 -0.68404 -0.17431 1.00000 -1.63830 1.96962 -1.93185 1.53209 -0.84524 0.00000 0.84524 -1.53209 1.93185 -1.96962 1.63830 -1.00000 0.17431 0.68404 -1.41421 1.87939 -1.99239 1.73205 -1.14715 0.34730 0.51764 -1.28558 1.81262 -2.00000 1.81262 -1.28558 0.51764 0.34730 -1.14715 1.73205 -1.99239 1.87939 -1.41421 0.68404 0.17431 -1.00000 1.63830 -1.96962 1.93185 -1.53209 0.84524 0.00000 -0.84524 1.53209 -1.93185 1.96962 -1.63830 1.00000 -0.17431 -0.68404 1.41421 -1.87939 1.99239 -1.73205 1.14715 -0.34730 -0.51764 1.28558 -1.81262 2.00000 ... ... ..... ....... ......... ........... ............. E63 * 2.00000 -1.84776 1.41421 -0.76537 0.00000 0.76537 -1.41421 1.84776 -2.00000 1.84776 -1.41421 0.76537 0.00000 -0.76537 1.41421 -1.84776 2.00000 -1.84776 1.41421 -0.76537 0.00000 0.76537 -1.41421 1.84776 -2.00000 1.84776 -1.41421 0.76537 0.00000 -0.76537 1.41421 -1.84776 2.00000 -1.84776 1.41421 -0.76537 0.00000 0.76537 -1.41421 1.84776 -2.00000 1.84776 -1.41421 0.76537 0.00000 -0.76537 1.41421 -1.84776 2.00000 -1.84776 1.41421 -0.76537 0.00000 0.76537 -1.41421 1.84776 -2.00000 1.84776 -1.41421 0.76537 0.00000 -0.76537 1.41421 -1.84776 2.00000 -1.84776 1.41421 -0.76537 0.00000 0.76537 -1.41421 1.84776 -2.00000 ... ... ..... ....... ......... ........... ............. E64 * 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 ... ... ..... ....... ......... ........... ............. E65 * 2.00000 -1.90743 1.63830 -1.21752 0.68404 -0.08724 -0.51764 1.07460 -1.53209 1.84776 -1.99239 1.95259 -1.73205 1.35118 -0.84524 0.26105 0.34730 -0.92350 1.41421 -1.77402 1.96962 -1.98289 1.81262 -1.47455 1.00000 -0.43288 -0.17431 0.76537 -1.28558 1.68678 -1.93185 1.99810 -1.87939 1.58671 -1.14715 0.60141 0.00000 -0.60141 1.14715 -1.58671 1.87939 -1.99810 1.93185 -1.68678 1.28558 -0.76537 0.17431 0.43288 -1.00000 1.47455 -1.81262 1.98289 -1.96962 1.77402 -1.41421 0.92350 -0.34730 -0.26105 0.84524 -1.35118 1.73205 -1.95259 1.99239 -1.84776 1.53209 -1.07460 0.51764 0.08724 -0.68404 1.21752 -1.63830 1.90743 -2.00000 ... ... ..... ....... ......... ........... ............. E66 * 2.00000 -1.93185 1.73205 -1.41421 1.00000 -0.51764 0.00000 0.51764 -1.00000 1.41421 -1.73205 1.93185 -2.00000 1.93185 -1.73205 1.41421 -1.00000 0.51764 0.00000 -0.51764 1.00000 -1.41421 1.73205 -1.93185 2.00000 -1.93185 1.73205 -1.41421 1.00000 -0.51764 0.00000 0.51764 -1.00000 1.41421 -1.73205 1.93185 -2.00000 1.93185 -1.73205 1.41421 -1.00000 0.51764 0.00000 -0.51764 1.00000 -1.41421 1.73205 -1.93185 2.00000 -1.93185 1.73205 -1.41421 1.00000 -0.51764 0.00000 0.51764 -1.00000 1.41421 -1.73205 1.93185 -2.00000 1.93185 -1.73205 1.41421 -1.00000 0.51764 0.00000 -0.51764 1.00000 -1.41421 1.73205 -1.93185 2.00000 ... ... ..... ....... ......... ........... ............. E67 * 2.00000 -1.95259 1.81262 -1.58671 1.28558 -0.92350 0.51764 -0.08724 -0.34730 0.76537 -1.14715 1.47455 -1.73205 1.90743 -1.99239 1.98289 -1.87939 1.68678 -1.41421 1.07460 -0.68404 0.26105 0.17431 -0.60141 1.00000 -1.35118 1.63830 -1.84776 1.96962 -1.99810 1.93185 -1.77402 1.53209 -1.21752 0.84524 -0.43288 0.00000 0.43288 -0.84524 1.21752 -1.53209 1.77402 -1.93185 1.99810 -1.96962 1.84776 -1.63830 1.35118 -1.00000 0.60141 -0.17431 -0.26105 0.68404 -1.07460 1.41421 -1.68678 1.87939 -1.98289 1.99239 -1.90743 1.73205 -1.47455 1.14715 -0.76537 0.34730 0.08724 -0.51764 0.92350 -1.28558 1.58671 -1.81262 1.95259 -2.00000 ... ... ..... ....... ......... ........... ............. E68 * 2.00000 -1.96962 1.87939 -1.73205 1.53209 -1.28558 1.00000 -0.68404 0.34730 0.00000 -0.34730 0.68404 -1.00000 1.28558 -1.53209 1.73205 -1.87939 1.96962 -2.00000 1.96962 -1.87939 1.73205 -1.53209 1.28558 -1.00000 0.68404 -0.34730 0.00000 0.34730 -0.68404 1.00000 -1.28558 1.53209 -1.73205 1.87939 -1.96962 2.00000 -1.96962 1.87939 -1.73205 1.53209 -1.28558 1.00000 -0.68404 0.34730 0.00000 -0.34730 0.68404 -1.00000 1.28558 -1.53209 1.73205 -1.87939 1.96962 -2.00000 1.96962 -1.87939 1.73205 -1.53209 1.28558 -1.00000 0.68404 -0.34730 0.00000 0.34730 -0.68404 1.00000 -1.28558 1.53209 -1.73205 1.87939 -1.96962 2.00000 ... ... ..... ....... ......... ........... ............. E69 * 2.00000 -1.98289 1.93185 -1.84776 1.73205 -1.58671 1.41421 -1.21752 1.00000 -0.76537 0.51764 -0.26105 0.00000 0.26105 -0.51764 0.76537 -1.00000 1.21752 -1.41421 1.58671 -1.73205 1.84776 -1.93185 1.98289 -2.00000 1.98289 -1.93185 1.84776 -1.73205 1.58671 -1.41421 1.21752 -1.00000 0.76537 -0.51764 0.26105 0.00000 -0.26105 0.51764 -0.76537 1.00000 -1.21752 1.41421 -1.58671 1.73205 -1.84776 1.93185 -1.98289 2.00000 -1.98289 1.93185 -1.84776 1.73205 -1.58671 1.41421 -1.21752 1.00000 -0.76537 0.51764 -0.26105 0.00000 0.26105 -0.51764 0.76537 -1.00000 1.21752 -1.41421 1.58671 -1.73205 1.84776 -1.93185 1.98289 -2.00000 ... ... ..... ....... ......... ........... ............. E70 * 2.00000 -1.99239 1.96962 -1.93185 1.87939 -1.81262 1.73205 -1.63830 1.53209 -1.41421 1.28558 -1.14715 1.00000 -0.84524 0.68404 -0.51764 0.34730 -0.17431 0.00000 0.17431 -0.34730 0.51764 -0.68404 0.84524 -1.00000 1.14715 -1.28558 1.41421 -1.53209 1.63830 -1.73205 1.81262 -1.87939 1.93185 -1.96962 1.99239 -2.00000 1.99239 -1.96962 1.93185 -1.87939 1.81262 -1.73205 1.63830 -1.53209 1.41421 -1.28558 1.14715 -1.00000 0.84524 -0.68404 0.51764 -0.34730 0.17431 0.00000 -0.17431 0.34730 -0.51764 0.68404 -0.84524 1.00000 -1.14715 1.28558 -1.41421 1.53209 -1.63830 1.73205 -1.81262 1.87939 -1.93185 1.96962 -1.99239 2.00000 ... ... ..... ....... ......... ........... ............. E71 * 2.00000 -1.99810 1.99239 -1.98289 1.96962 -1.95259 1.93185 -1.90743 1.87939 -1.84776 1.81262 -1.77402 1.73205 -1.68678 1.63830 -1.58671 1.53209 -1.47455 1.41421 -1.35118 1.28558 -1.21752 1.14715 -1.07460 1.00000 -0.92350 0.84524 -0.76537 0.68404 -0.60141 0.51764 -0.43288 0.34730 -0.26105 0.17431 -0.08724 0.00000 0.08724 -0.17431 0.26105 -0.34730 0.43288 -0.51764 0.60141 -0.68404 0.76537 -0.84524 0.92350 -1.00000 1.07460 -1.14715 1.21752 -1.28558 1.35118 -1.41421 1.47455 -1.53209 1.58671 -1.63830 1.68678 -1.73205 1.77402 -1.81262 1.84776 -1.87939 1.90743 -1.93185 1.95259 -1.96962 1.98289 -1.99239 1.99810 -2.00000 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.998096443164 = 2*cos(2*π/144) = 2*cos(π/72) 1.992389396183 = 2*cos(4*π/144) = 2*cos(π/36) 1.982889722748 = 2*cos(6*π/144) = 2*cos(π/24) = √2+√2+√3 1.969615506024 = 2*cos(8*π/144) = 2*cos(π/18) 1.952592014240 = 2*cos(10*π/144) = 2*cos(5*π/72) 1.931851652578 = 2*cos(12*π/144) = 2*cos(π/12) = √2+√3 1.907433901496 = 2*cos(14*π/144) = 2*cos(7*π/72) 1.879385241572 = 2*cos(16*π/144) = 2*cos(π/9) 1.847759065023 = 2*cos(18*π/144) = 2*cos(π/8) = √2+√2 1.812615574073 = 2*cos(20*π/144) = 2*cos(5*π/36) 1.774021666356 = 2*cos(22*π/144) = 2*cos(11*π/72) 1.732050807569 = 2*cos(24*π/144) = 2*cos(π/6) = √3 1.686782891626 = 2*cos(26*π/144) = 2*cos(13*π/72) 1.638304088578 = 2*cos(28*π/144) = 2*cos(7*π/36) 1.586706680582 = 2*cos(30*π/144) = 2*cos(5*π/24) = √2+√2−√3 1.532088886238 = 2*cos(32*π/144) = 2*cos(2*π/9) 1.474554673620 = 2*cos(34*π/144) = 2*cos(17*π/72) 1.414213562373 = 2*cos(36*π/144) = 2*cos(π/4) = √2 1.351180415231 = 2*cos(38*π/144) = 2*cos(19*π/72) 1.285575219373 = 2*cos(40*π/144) = 2*cos(5*π/18) 1.217522858017 = 2*cos(42*π/144) = 2*cos(7*π/24) = √2−√2−√3 1.147152872702 = 2*cos(44*π/144) = 2*cos(11*π/36) 1.074599216694 = 2*cos(46*π/144) = 2*cos(23*π/72) 0.923497226470 = 2*cos(50*π/144) = 2*cos(25*π/72) 0.845236523481 = 2*cos(52*π/144) = 2*cos(13*π/36) 0.765366864730 = 2*cos(54*π/144) = 2*cos(3*π/8) = √2−√2 0.684040286651 = 2*cos(56*π/144) = 2*cos(7*π/18) 0.601411599009 = 2*cos(58*π/144) = 2*cos(29*π/72) 0.517638090205 = 2*cos(60*π/144) = 2*cos(5*π/12) = √2−√3 0.432879227876 = 2*cos(62*π/144) = 2*cos(31*π/72) 0.347296355334 = 2*cos(64*π/144) = 2*cos(4*π/9) 0.261052384440 = 2*cos(66*π/144) = 2*cos(11*π/24) = √2−√2+√3 0.174311485495 = 2*cos(68*π/144) = 2*cos(17*π/36) 0.087238774731 = 2*cos(70*π/144) = 2*cos(35*π/72) 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 C144 point group is 144, and the order of the principal axis (C144) is 144. The group has 73 irreducible representations. β The C144 point group is isomorphic to S144. γ The C144 point group is generated by one single symmetry element, C144. Therefore, it is a cyclic group. δ The lowest nonvanishing multipole moment in C144 is 2 (dipole moment). ε This is an Abelian point group (the commutative law holds between all symmetry operations). The C144 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. ζ Because the group is Abelian and the maximum order of rotation is >2, some irreducible representations have complex characters. These 142 cases have been combined into 71 two-dimensional representations that are no longer irreducible but have real-valued characters. Accordingly, 71 pairs of left and right rotations have been combined into one two-membered pseudo-class each. η The 71 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. θ The point group is chiral, as it does not contain any mirroring operation. ι 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. κ The point group corresponds to a polygon inconstructible by the classical means of ruler and compass. Yet it becomes constructible if angle trisection is allowed, e.g., with neusis construction or origami. This is because the order of the principal axis is given by a product of any number of different Pierpont primes (...,5,7,13,17,19,37,73,97,109,163,...) times arbitrary powers of two and three. While some characters of this group can be expressed using real integers and square roots alone, others need complex numbers and third roots. λ The regular nonagon or enneagon is not constructible by ruler and compass because cos(2*π/9) has an algebraic degree of 3. (It can be constructed by extended methods that allow angle trisection, as this corresponds to solving cubic equations). The value of cos(2*π/9) can be expressed using cubic roots and complex numbers, which, however, is not very useful for a real-valued quantity: 2*cos(2π/9) = (3√−4+i*4*√3 + 3√−4−i*4*√3)/2. Therefore, regular polygons of order 18,27,36,45,54 etc. are also inconstructible, and their cosines have no representation in real radicals.
C128 | ||
C136 | ||
C144 | C144v C144h D144 D144h D144d S144 | |
C153 | ||
C160 |
This Character Table for the C144 point group was created by Gernot Katzer.
For other groups and some explanations, see the Main Page.