C103 E 2 C103 2 C103^2 2 C103^3 2 C103^4 2 C103^5 2 C103^6 2 C103^7 2 C103^8 2 C103^9 2 C103^10 2 C103^11 2 C103^12 2 C103^13 2 C103^14 2 C103^15 2 C103^16 2 C103^17 2 C103^18 2 C103^19 2 C103^20 2 C103^21 2 C103^22 2 C103^23 2 C103^24 2 C103^25 2 C103^26 2 C103^27 2 C103^28 2 C103^29 2 C103^30 2 C103^31 2 C103^32 2 C103^33 2 C103^34 2 C103^35 2 C103^36 2 C103^37 2 C103^38 2 C103^39 2 C103^40 2 C103^41 2 C103^42 2 C103^43 2 C103^44 2 C103^45 2 C103^46 2 C103^47 2 C103^48 2 C103^49 2 C103^50 2 C103^51 <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 ..T ..T ....T ......T ........T ..........T ............T E1 * 2.00000 1.99628 1.98513 1.96660 1.94076 1.90769 1.86752 1.82041 1.76653 1.70608 1.63928 1.56638 1.48765 1.40339 1.31391 1.21954 1.12063 1.01756 0.91070 0.80045 0.68722 0.57144 0.45353 0.33394 0.21310 0.09147 -0.03050 -0.15236 -0.27365 -0.39392 -0.51273 -0.62963 -0.74418 -0.85597 -0.96458 -1.06959 -1.17063 -1.26731 -1.35928 -1.44619 -1.52772 -1.60357 -1.67345 -1.73711 -1.79431 -1.84483 -1.88849 -1.92512 -1.95459 -1.97679 -1.99163 -1.99907 TT. TT. ..TT. ....TT. ......TT. ........TT. ..........TT. E2 * 2.00000 1.98513 1.94076 1.86752 1.76653 1.63928 1.48765 1.31391 1.12063 0.91070 0.68722 0.45353 0.21310 -0.03050 -0.27365 -0.51273 -0.74418 -0.96458 -1.17063 -1.35928 -1.52772 -1.67345 -1.79431 -1.88849 -1.95459 -1.99163 -1.99907 -1.97679 -1.92512 -1.84483 -1.73711 -1.60357 -1.44619 -1.26731 -1.06959 -0.85597 -0.62963 -0.39392 -0.15236 0.09147 0.33394 0.57144 0.80045 1.01756 1.21954 1.40339 1.56638 1.70608 1.82041 1.90769 1.96660 1.99628 ... ... TT... ..TT... ....TT... ......TT... ........TT... E3 * 2.00000 1.96660 1.86752 1.70608 1.48765 1.21954 0.91070 0.57144 0.21310 -0.15236 -0.51273 -0.85597 -1.17063 -1.44619 -1.67345 -1.84483 -1.95459 -1.99907 -1.97679 -1.88849 -1.73711 -1.52772 -1.26731 -0.96458 -0.62963 -0.27365 0.09147 0.45353 0.80045 1.12063 1.40339 1.63928 1.82041 1.94076 1.99628 1.98513 1.90769 1.76653 1.56638 1.31391 1.01756 0.68722 0.33394 -0.03050 -0.39392 -0.74418 -1.06959 -1.35928 -1.60357 -1.79431 -1.92512 -1.99163 ... ... ..... TT..... ..TT..... ....TT..... ......TT..... E4 * 2.00000 1.94076 1.76653 1.48765 1.12063 0.68722 0.21310 -0.27365 -0.74418 -1.17063 -1.52772 -1.79431 -1.95459 -1.99907 -1.92512 -1.73711 -1.44619 -1.06959 -0.62963 -0.15236 0.33394 0.80045 1.21954 1.56638 1.82041 1.96660 1.99628 1.90769 1.70608 1.40339 1.01756 0.57144 0.09147 -0.39392 -0.85597 -1.26731 -1.60357 -1.84483 -1.97679 -1.99163 -1.88849 -1.67345 -1.35928 -0.96458 -0.51273 -0.03050 0.45353 0.91070 1.31391 1.63928 1.86752 1.98513 ... ... ..... ....... TT....... ..TT....... ....TT....... E5 * 2.00000 1.90769 1.63928 1.21954 0.68722 0.09147 -0.51273 -1.06959 -1.52772 -1.84483 -1.99163 -1.95459 -1.73711 -1.35928 -0.85597 -0.27365 0.33394 0.91070 1.40339 1.76653 1.96660 1.98513 1.82041 1.48765 1.01756 0.45353 -0.15236 -0.74418 -1.26731 -1.67345 -1.92512 -1.99907 -1.88849 -1.60357 -1.17063 -0.62963 -0.03050 0.57144 1.12063 1.56638 1.86752 1.99628 1.94076 1.70608 1.31391 0.80045 0.21310 -0.39392 -0.96458 -1.44619 -1.79431 -1.97679 ... ... ..... ....... ......... TT......... ..TT......... E6 * 2.00000 1.86752 1.48765 0.91070 0.21310 -0.51273 -1.17063 -1.67345 -1.95459 -1.97679 -1.73711 -1.26731 -0.62963 0.09147 0.80045 1.40339 1.82041 1.99628 1.90769 1.56638 1.01756 0.33394 -0.39392 -1.06959 -1.60357 -1.92512 -1.99163 -1.79431 -1.35928 -0.74418 -0.03050 0.68722 1.31391 1.76653 1.98513 1.94076 1.63928 1.12063 0.45353 -0.27365 -0.96458 -1.52772 -1.88849 -1.99907 -1.84483 -1.44619 -0.85597 -0.15236 0.57144 1.21954 1.70608 1.96660 ... ... ..... ....... ......... ........... TT........... E7 * 2.00000 1.82041 1.31391 0.57144 -0.27365 -1.06959 -1.67345 -1.97679 -1.92512 -1.52772 -0.85597 -0.03050 0.80045 1.48765 1.90769 1.98513 1.70608 1.12063 0.33394 -0.51273 -1.26731 -1.79431 -1.99907 -1.84483 -1.35928 -0.62963 0.21310 1.01756 1.63928 1.96660 1.94076 1.56638 0.91070 0.09147 -0.74418 -1.44619 -1.88849 -1.99163 -1.73711 -1.17063 -0.39392 0.45353 1.21954 1.76653 1.99628 1.86752 1.40339 0.68722 -0.15236 -0.96458 -1.60357 -1.95459 ... ... ..... ....... ......... ........... ............. E8 * 2.00000 1.76653 1.12063 0.21310 -0.74418 -1.52772 -1.95459 -1.92512 -1.44619 -0.62963 0.33394 1.21954 1.82041 1.99628 1.70608 1.01756 0.09147 -0.85597 -1.60357 -1.97679 -1.88849 -1.35928 -0.51273 0.45353 1.31391 1.86752 1.98513 1.63928 0.91070 -0.03050 -0.96458 -1.67345 -1.99163 -1.84483 -1.26731 -0.39392 0.57144 1.40339 1.90769 1.96660 1.56638 0.80045 -0.15236 -1.06959 -1.73711 -1.99907 -1.79431 -1.17063 -0.27365 0.68722 1.48765 1.94076 ... ... ..... ....... ......... ........... ............. E9 * 2.00000 1.70608 0.91070 -0.15236 -1.17063 -1.84483 -1.97679 -1.52772 -0.62963 0.45353 1.40339 1.94076 1.90769 1.31391 0.33394 -0.74418 -1.60357 -1.99163 -1.79431 -1.06959 -0.03050 1.01756 1.76653 1.99628 1.63928 0.80045 -0.27365 -1.26731 -1.88849 -1.95459 -1.44619 -0.51273 0.57144 1.48765 1.96660 1.86752 1.21954 0.21310 -0.85597 -1.67345 -1.99907 -1.73711 -0.96458 0.09147 1.12063 1.82041 1.98513 1.56638 0.68722 -0.39392 -1.35928 -1.92512 ... ... ..... ....... ......... ........... ............. E10 * 2.00000 1.63928 0.68722 -0.51273 -1.52772 -1.99163 -1.73711 -0.85597 0.33394 1.40339 1.96660 1.82041 1.01756 -0.15236 -1.26731 -1.92512 -1.88849 -1.17063 -0.03050 1.12063 1.86752 1.94076 1.31391 0.21310 -0.96458 -1.79431 -1.97679 -1.44619 -0.39392 0.80045 1.70608 1.99628 1.56638 0.57144 -0.62963 -1.60357 -1.99907 -1.67345 -0.74418 0.45353 1.48765 1.98513 1.76653 0.91070 -0.27365 -1.35928 -1.95459 -1.84483 -1.06959 0.09147 1.21954 1.90769 ... ... ..... ....... ......... ........... ............. E11 * 2.00000 1.56638 0.45353 -0.85597 -1.79431 -1.95459 -1.26731 -0.03050 1.21954 1.94076 1.82041 0.91070 -0.39392 -1.52772 -1.99907 -1.60357 -0.51273 0.80045 1.76653 1.96660 1.31391 0.09147 -1.17063 -1.92512 -1.84483 -0.96458 0.33394 1.48765 1.99628 1.63928 0.57144 -0.74418 -1.73711 -1.97679 -1.35928 -0.15236 1.12063 1.90769 1.86752 1.01756 -0.27365 -1.44619 -1.99163 -1.67345 -0.62963 0.68722 1.70608 1.98513 1.40339 0.21310 -1.06959 -1.88849 ... ... ..... ....... ......... ........... ............. E12 * 2.00000 1.48765 0.21310 -1.17063 -1.95459 -1.73711 -0.62963 0.80045 1.82041 1.90769 1.01756 -0.39392 -1.60357 -1.99163 -1.35928 -0.03050 1.31391 1.98513 1.63928 0.45353 -0.96458 -1.88849 -1.84483 -0.85597 0.57144 1.70608 1.96660 1.21954 -0.15236 -1.44619 -1.99907 -1.52772 -0.27365 1.12063 1.94076 1.76653 0.68722 -0.74418 -1.79431 -1.92512 -1.06959 0.33394 1.56638 1.99628 1.40339 0.09147 -1.26731 -1.97679 -1.67345 -0.51273 0.91070 1.86752 ... ... ..... ....... ......... ........... ............. E13 * 2.00000 1.40339 -0.03050 -1.44619 -1.99907 -1.35928 0.09147 1.48765 1.99628 1.31391 -0.15236 -1.52772 -1.99163 -1.26731 0.21310 1.56638 1.98513 1.21954 -0.27365 -1.60357 -1.97679 -1.17063 0.33394 1.63928 1.96660 1.12063 -0.39392 -1.67345 -1.95459 -1.06959 0.45353 1.70608 1.94076 1.01756 -0.51273 -1.73711 -1.92512 -0.96458 0.57144 1.76653 1.90769 0.91070 -0.62963 -1.79431 -1.88849 -0.85597 0.68722 1.82041 1.86752 0.80045 -0.74418 -1.84483 ... ... ..... ....... ......... ........... ............. E14 * 2.00000 1.31391 -0.27365 -1.67345 -1.92512 -0.85597 0.80045 1.90769 1.70608 0.33394 -1.26731 -1.99907 -1.35928 0.21310 1.63928 1.94076 0.91070 -0.74418 -1.88849 -1.73711 -0.39392 1.21954 1.99628 1.40339 -0.15236 -1.60357 -1.95459 -0.96458 0.68722 1.86752 1.76653 0.45353 -1.17063 -1.99163 -1.44619 0.09147 1.56638 1.96660 1.01756 -0.62963 -1.84483 -1.79431 -0.51273 1.12063 1.98513 1.48765 -0.03050 -1.52772 -1.97679 -1.06959 0.57144 1.82041 ... ... ..... ....... ......... ........... ............. E15 * 2.00000 1.21954 -0.51273 -1.84483 -1.73711 -0.27365 1.40339 1.98513 1.01756 -0.74418 -1.92512 -1.60357 -0.03050 1.56638 1.94076 0.80045 -0.96458 -1.97679 -1.44619 0.21310 1.70608 1.86752 0.57144 -1.17063 -1.99907 -1.26731 0.45353 1.82041 1.76653 0.33394 -1.35928 -1.99163 -1.06959 0.68722 1.90769 1.63928 0.09147 -1.52772 -1.95459 -0.85597 0.91070 1.96660 1.48765 -0.15236 -1.67345 -1.88849 -0.62963 1.12063 1.99628 1.31391 -0.39392 -1.79431 ... ... ..... ....... ......... ........... ............. E16 * 2.00000 1.12063 -0.74418 -1.95459 -1.44619 0.33394 1.82041 1.70608 0.09147 -1.60357 -1.88849 -0.51273 1.31391 1.98513 0.91070 -0.96458 -1.99163 -1.26731 0.57144 1.90769 1.56638 -0.15236 -1.73711 -1.79431 -0.27365 1.48765 1.94076 0.68722 -1.17063 -1.99907 -1.06959 0.80045 1.96660 1.40339 -0.39392 -1.84483 -1.67345 -0.03050 1.63928 1.86752 0.45353 -1.35928 -1.97679 -0.85597 1.01756 1.99628 1.21954 -0.62963 -1.92512 -1.52772 0.21310 1.76653 ... ... ..... ....... ......... ........... ............. E17 * 2.00000 1.01756 -0.96458 -1.99907 -1.06959 0.91070 1.99628 1.12063 -0.85597 -1.99163 -1.17063 0.80045 1.98513 1.21954 -0.74418 -1.97679 -1.26731 0.68722 1.96660 1.31391 -0.62963 -1.95459 -1.35928 0.57144 1.94076 1.40339 -0.51273 -1.92512 -1.44619 0.45353 1.90769 1.48765 -0.39392 -1.88849 -1.52772 0.33394 1.86752 1.56638 -0.27365 -1.84483 -1.60357 0.21310 1.82041 1.63928 -0.15236 -1.79431 -1.67345 0.09147 1.76653 1.70608 -0.03050 -1.73711 ... ... ..... ....... ......... ........... ............. E18 * 2.00000 0.91070 -1.17063 -1.97679 -0.62963 1.40339 1.90769 0.33394 -1.60357 -1.79431 -0.03050 1.76653 1.63928 -0.27365 -1.88849 -1.44619 0.57144 1.96660 1.21954 -0.85597 -1.99907 -0.96458 1.12063 1.98513 0.68722 -1.35928 -1.92512 -0.39392 1.56638 1.82041 0.09147 -1.73711 -1.67345 0.21310 1.86752 1.48765 -0.51273 -1.95459 -1.26731 0.80045 1.99628 1.01756 -1.06959 -1.99163 -0.74418 1.31391 1.94076 0.45353 -1.52772 -1.84483 -0.15236 1.70608 ... ... ..... ....... ......... ........... ............. E19 * 2.00000 0.80045 -1.35928 -1.88849 -0.15236 1.76653 1.56638 -0.51273 -1.97679 -1.06959 1.12063 1.96660 0.45353 -1.60357 -1.73711 0.21310 1.90769 1.31391 -0.85597 -1.99907 -0.74418 1.40339 1.86752 0.09147 -1.79431 -1.52772 0.57144 1.98513 1.01756 -1.17063 -1.95459 -0.39392 1.63928 1.70608 -0.27365 -1.92512 -1.26731 0.91070 1.99628 0.68722 -1.44619 -1.84483 -0.03050 1.82041 1.48765 -0.62963 -1.99163 -0.96458 1.21954 1.94076 0.33394 -1.67345 ... ... ..... ....... ......... ........... ............. E20 * 2.00000 0.68722 -1.52772 -1.73711 0.33394 1.96660 1.01756 -1.26731 -1.88849 -0.03050 1.86752 1.31391 -0.96458 -1.97679 -0.39392 1.70608 1.56638 -0.62963 -1.99907 -0.74418 1.48765 1.76653 -0.27365 -1.95459 -1.06959 1.21954 1.90769 0.09147 -1.84483 -1.35928 0.91070 1.98513 0.45353 -1.67345 -1.60357 0.57144 1.99628 0.80045 -1.44619 -1.79431 0.21310 1.94076 1.12063 -1.17063 -1.92512 -0.15236 1.82041 1.40339 -0.85597 -1.99163 -0.51273 1.63928 ... ... ..... ....... ......... ........... ............. E21 * 2.00000 0.57144 -1.67345 -1.52772 0.80045 1.98513 0.33394 -1.79431 -1.35928 1.01756 1.94076 0.09147 -1.88849 -1.17063 1.21954 1.86752 -0.15236 -1.95459 -0.96458 1.40339 1.76653 -0.39392 -1.99163 -0.74418 1.56638 1.63928 -0.62963 -1.99907 -0.51273 1.70608 1.48765 -0.85597 -1.97679 -0.27365 1.82041 1.31391 -1.06959 -1.92512 -0.03050 1.90769 1.12063 -1.26731 -1.84483 0.21310 1.96660 0.91070 -1.44619 -1.73711 0.45353 1.99628 0.68722 -1.60357 ... ... ..... ....... ......... ........... ............. E22 * 2.00000 0.45353 -1.79431 -1.26731 1.21954 1.82041 -0.39392 -1.99907 -0.51273 1.76653 1.31391 -1.17063 -1.84483 0.33394 1.99628 0.57144 -1.73711 -1.35928 1.12063 1.86752 -0.27365 -1.99163 -0.62963 1.70608 1.40339 -1.06959 -1.88849 0.21310 1.98513 0.68722 -1.67345 -1.44619 1.01756 1.90769 -0.15236 -1.97679 -0.74418 1.63928 1.48765 -0.96458 -1.92512 0.09147 1.96660 0.80045 -1.60357 -1.52772 0.91070 1.94076 -0.03050 -1.95459 -0.85597 1.56638 ... ... ..... ....... ......... ........... ............. E23 * 2.00000 0.33394 -1.88849 -0.96458 1.56638 1.48765 -1.06959 -1.84483 0.45353 1.99628 0.21310 -1.92512 -0.85597 1.63928 1.40339 -1.17063 -1.79431 0.57144 1.98513 0.09147 -1.95459 -0.74418 1.70608 1.31391 -1.26731 -1.73711 0.68722 1.96660 -0.03050 -1.97679 -0.62963 1.76653 1.21954 -1.35928 -1.67345 0.80045 1.94076 -0.15236 -1.99163 -0.51273 1.82041 1.12063 -1.44619 -1.60357 0.91070 1.90769 -0.27365 -1.99907 -0.39392 1.86752 1.01756 -1.52772 ... ... ..... ....... ......... ........... ............. E24 * 2.00000 0.21310 -1.95459 -0.62963 1.82041 1.01756 -1.60357 -1.35928 1.31391 1.63928 -0.96458 -1.84483 0.57144 1.96660 -0.15236 -1.99907 -0.27365 1.94076 0.68722 -1.79431 -1.06959 1.56638 1.40339 -1.26731 -1.67345 0.91070 1.86752 -0.51273 -1.97679 0.09147 1.99628 0.33394 -1.92512 -0.74418 1.76653 1.12063 -1.52772 -1.44619 1.21954 1.70608 -0.85597 -1.88849 0.45353 1.98513 -0.03050 -1.99163 -0.39392 1.90769 0.80045 -1.73711 -1.17063 1.48765 ... ... ..... ....... ......... ........... ............. E25 * 2.00000 0.09147 -1.99163 -0.27365 1.96660 0.45353 -1.92512 -0.62963 1.86752 0.80045 -1.79431 -0.96458 1.70608 1.12063 -1.60357 -1.26731 1.48765 1.40339 -1.35928 -1.52772 1.21954 1.63928 -1.06959 -1.73711 0.91070 1.82041 -0.74418 -1.88849 0.57144 1.94076 -0.39392 -1.97679 0.21310 1.99628 -0.03050 -1.99907 -0.15236 1.98513 0.33394 -1.95459 -0.51273 1.90769 0.68722 -1.84483 -0.85597 1.76653 1.01756 -1.67345 -1.17063 1.56638 1.31391 -1.44619 ... ... ..... ....... ......... ........... ............. E26 * 2.00000 -0.03050 -1.99907 0.09147 1.99628 -0.15236 -1.99163 0.21310 1.98513 -0.27365 -1.97679 0.33394 1.96660 -0.39392 -1.95459 0.45353 1.94076 -0.51273 -1.92512 0.57144 1.90769 -0.62963 -1.88849 0.68722 1.86752 -0.74418 -1.84483 0.80045 1.82041 -0.85597 -1.79431 0.91070 1.76653 -0.96458 -1.73711 1.01756 1.70608 -1.06959 -1.67345 1.12063 1.63928 -1.17063 -1.60357 1.21954 1.56638 -1.26731 -1.52772 1.31391 1.48765 -1.35928 -1.44619 1.40339 ... ... ..... ....... ......... ........... ............. E27 * 2.00000 -0.15236 -1.97679 0.45353 1.90769 -0.74418 -1.79431 1.01756 1.63928 -1.26731 -1.44619 1.48765 1.21954 -1.67345 -0.96458 1.82041 0.68722 -1.92512 -0.39392 1.98513 0.09147 -1.99907 0.21310 1.96660 -0.51273 -1.88849 0.80045 1.76653 -1.06959 -1.60357 1.31391 1.40339 -1.52772 -1.17063 1.70608 0.91070 -1.84483 -0.62963 1.94076 0.33394 -1.99163 -0.03050 1.99628 -0.27365 -1.95459 0.57144 1.86752 -0.85597 -1.73711 1.12063 1.56638 -1.35928 ... ... ..... ....... ......... ........... ............. E28 * 2.00000 -0.27365 -1.92512 0.80045 1.70608 -1.26731 -1.35928 1.63928 0.91070 -1.88849 -0.39392 1.99628 -0.15236 -1.95459 0.68722 1.76653 -1.17063 -1.44619 1.56638 1.01756 -1.84483 -0.51273 1.98513 -0.03050 -1.97679 0.57144 1.82041 -1.06959 -1.52772 1.48765 1.12063 -1.79431 -0.62963 1.96660 0.09147 -1.99163 0.45353 1.86752 -0.96458 -1.60357 1.40339 1.21954 -1.73711 -0.74418 1.94076 0.21310 -1.99907 0.33394 1.90769 -0.85597 -1.67345 1.31391 ... ... ..... ....... ......... ........... ............. E29 * 2.00000 -0.39392 -1.84483 1.12063 1.40339 -1.67345 -0.74418 1.96660 -0.03050 -1.95459 0.80045 1.63928 -1.44619 -1.06959 1.86752 0.33394 -1.99907 0.45353 1.82041 -1.17063 -1.35928 1.70608 0.68722 -1.97679 0.09147 1.94076 -0.85597 -1.60357 1.48765 1.01756 -1.88849 -0.27365 1.99628 -0.51273 -1.79431 1.21954 1.31391 -1.73711 -0.62963 1.98513 -0.15236 -1.92512 0.91070 1.56638 -1.52772 -0.96458 1.90769 0.21310 -1.99163 0.57144 1.76653 -1.26731 ... ... ..... ....... ......... ........... ............. E30 * 2.00000 -0.51273 -1.73711 1.40339 1.01756 -1.92512 -0.03050 1.94076 -0.96458 -1.44619 1.70608 0.57144 -1.99907 0.45353 1.76653 -1.35928 -1.06959 1.90769 0.09147 -1.95459 0.91070 1.48765 -1.67345 -0.62963 1.99628 -0.39392 -1.79431 1.31391 1.12063 -1.88849 -0.15236 1.96660 -0.85597 -1.52772 1.63928 0.68722 -1.99163 0.33394 1.82041 -1.26731 -1.17063 1.86752 0.21310 -1.97679 0.80045 1.56638 -1.60357 -0.74418 1.98513 -0.27365 -1.84483 1.21954 ... ... ..... ....... ......... ........... ............. E31 * 2.00000 -0.62963 -1.60357 1.63928 0.57144 -1.99907 0.68722 1.56638 -1.67345 -0.51273 1.99628 -0.74418 -1.52772 1.70608 0.45353 -1.99163 0.80045 1.48765 -1.73711 -0.39392 1.98513 -0.85597 -1.44619 1.76653 0.33394 -1.97679 0.91070 1.40339 -1.79431 -0.27365 1.96660 -0.96458 -1.35928 1.82041 0.21310 -1.95459 1.01756 1.31391 -1.84483 -0.15236 1.94076 -1.06959 -1.26731 1.86752 0.09147 -1.92512 1.12063 1.21954 -1.88849 -0.03050 1.90769 -1.17063 ... ... ..... ....... ......... ........... ............. E32 * 2.00000 -0.74418 -1.44619 1.82041 0.09147 -1.88849 1.31391 0.91070 -1.99163 0.57144 1.56638 -1.73711 -0.27365 1.94076 -1.17063 -1.06959 1.96660 -0.39392 -1.67345 1.63928 0.45353 -1.97679 1.01756 1.21954 -1.92512 0.21310 1.76653 -1.52772 -0.62963 1.99628 -0.85597 -1.35928 1.86752 -0.03050 -1.84483 1.40339 0.80045 -1.99907 0.68722 1.48765 -1.79431 -0.15236 1.90769 -1.26731 -0.96458 1.98513 -0.51273 -1.60357 1.70608 0.33394 -1.95459 1.12063 ... ... ..... ....... ......... ........... ............. E33 * 2.00000 -0.85597 -1.26731 1.94076 -0.39392 -1.60357 1.76653 0.09147 -1.84483 1.48765 0.57144 -1.97679 1.12063 1.01756 -1.99163 0.68722 1.40339 -1.88849 0.21310 1.70608 -1.67345 -0.27365 1.90769 -1.35928 -0.74418 1.99628 -0.96458 -1.17063 1.96660 -0.51273 -1.52772 1.82041 -0.03050 -1.79431 1.56638 0.45353 -1.95459 1.21954 0.91070 -1.99907 0.80045 1.31391 -1.92512 0.33394 1.63928 -1.73711 -0.15236 1.86752 -1.44619 -0.62963 1.98513 -1.06959 ... ... ..... ....... ......... ........... ............. E34 * 2.00000 -0.96458 -1.06959 1.99628 -0.85597 -1.17063 1.98513 -0.74418 -1.26731 1.96660 -0.62963 -1.35928 1.94076 -0.51273 -1.44619 1.90769 -0.39392 -1.52772 1.86752 -0.27365 -1.60357 1.82041 -0.15236 -1.67345 1.76653 -0.03050 -1.73711 1.70608 0.09147 -1.79431 1.63928 0.21310 -1.84483 1.56638 0.33394 -1.88849 1.48765 0.45353 -1.92512 1.40339 0.57144 -1.95459 1.31391 0.68722 -1.97679 1.21954 0.80045 -1.99163 1.12063 0.91070 -1.99907 1.01756 ... ... ..... ....... ......... ........... ............. E35 * 2.00000 -1.06959 -0.85597 1.98513 -1.26731 -0.62963 1.94076 -1.44619 -0.39392 1.86752 -1.60357 -0.15236 1.76653 -1.73711 0.09147 1.63928 -1.84483 0.33394 1.48765 -1.92512 0.57144 1.31391 -1.97679 0.80045 1.12063 -1.99907 1.01756 0.91070 -1.99163 1.21954 0.68722 -1.95459 1.40339 0.45353 -1.88849 1.56638 0.21310 -1.79431 1.70608 -0.03050 -1.67345 1.82041 -0.27365 -1.52772 1.90769 -0.51273 -1.35928 1.96660 -0.74418 -1.17063 1.99628 -0.96458 ... ... ..... ....... ......... ........... ............. E36 * 2.00000 -1.17063 -0.62963 1.90769 -1.60357 -0.03050 1.63928 -1.88849 0.57144 1.21954 -1.99907 1.12063 0.68722 -1.92512 1.56638 0.09147 -1.67345 1.86752 -0.51273 -1.26731 1.99628 -1.06959 -0.74418 1.94076 -1.52772 -0.15236 1.70608 -1.84483 0.45353 1.31391 -1.99163 1.01756 0.80045 -1.95459 1.48765 0.21310 -1.73711 1.82041 -0.39392 -1.35928 1.98513 -0.96458 -0.85597 1.96660 -1.44619 -0.27365 1.76653 -1.79431 0.33394 1.40339 -1.97679 0.91070 ... ... ..... ....... ......... ........... ............. E37 * 2.00000 -1.26731 -0.39392 1.76653 -1.84483 0.57144 1.12063 -1.99163 1.40339 0.21310 -1.67345 1.90769 -0.74418 -0.96458 1.96660 -1.52772 -0.03050 1.56638 -1.95459 0.91070 0.80045 -1.92512 1.63928 -0.15236 -1.44619 1.98513 -1.06959 -0.62963 1.86752 -1.73711 0.33394 1.31391 -1.99907 1.21954 0.45353 -1.79431 1.82041 -0.51273 -1.17063 1.99628 -1.35928 -0.27365 1.70608 -1.88849 0.68722 1.01756 -1.97679 1.48765 0.09147 -1.60357 1.94076 -0.85597 ... ... ..... ....... ......... ........... ............. E38 * 2.00000 -1.35928 -0.15236 1.56638 -1.97679 1.12063 0.45353 -1.73711 1.90769 -0.85597 -0.74418 1.86752 -1.79431 0.57144 1.01756 -1.95459 1.63928 -0.27365 -1.26731 1.99628 -1.44619 -0.03050 1.48765 -1.99163 1.21954 0.33394 -1.67345 1.94076 -0.96458 -0.62963 1.82041 -1.84483 0.68722 0.91070 -1.92512 1.70608 -0.39392 -1.17063 1.98513 -1.52772 0.09147 1.40339 -1.99907 1.31391 0.21310 -1.60357 1.96660 -1.06959 -0.51273 1.76653 -1.88849 0.80045 ... ... ..... ....... ......... ........... ............. E39 * 2.00000 -1.44619 0.09147 1.31391 -1.99163 1.56638 -0.27365 -1.17063 1.96660 -1.67345 0.45353 1.01756 -1.92512 1.76653 -0.62963 -0.85597 1.86752 -1.84483 0.80045 0.68722 -1.79431 1.90769 -0.96458 -0.51273 1.70608 -1.95459 1.12063 0.33394 -1.60357 1.98513 -1.26731 -0.15236 1.48765 -1.99907 1.40339 -0.03050 -1.35928 1.99628 -1.52772 0.21310 1.21954 -1.97679 1.63928 -0.39392 -1.06959 1.94076 -1.73711 0.57144 0.91070 -1.88849 1.82041 -0.74418 ... ... ..... ....... ......... ........... ............. E40 * 2.00000 -1.52772 0.33394 1.01756 -1.88849 1.86752 -0.96458 -0.39392 1.56638 -1.99907 1.48765 -0.27365 -1.06959 1.90769 -1.84483 0.91070 0.45353 -1.60357 1.99628 -1.44619 0.21310 1.12063 -1.92512 1.82041 -0.85597 -0.51273 1.63928 -1.99163 1.40339 -0.15236 -1.17063 1.94076 -1.79431 0.80045 0.57144 -1.67345 1.98513 -1.35928 0.09147 1.21954 -1.95459 1.76653 -0.74418 -0.62963 1.70608 -1.97679 1.31391 -0.03050 -1.26731 1.96660 -1.73711 0.68722 ... ... ..... ....... ......... ........... ............. E41 * 2.00000 -1.60357 0.57144 0.68722 -1.67345 1.99628 -1.52772 0.45353 0.80045 -1.73711 1.98513 -1.44619 0.33394 0.91070 -1.79431 1.96660 -1.35928 0.21310 1.01756 -1.84483 1.94076 -1.26731 0.09147 1.12063 -1.88849 1.90769 -1.17063 -0.03050 1.21954 -1.92512 1.86752 -1.06959 -0.15236 1.31391 -1.95459 1.82041 -0.96458 -0.27365 1.40339 -1.97679 1.76653 -0.85597 -0.39392 1.48765 -1.99163 1.70608 -0.74418 -0.51273 1.56638 -1.99907 1.63928 -0.62963 ... ... ..... ....... ......... ........... ............. E42 * 2.00000 -1.67345 0.80045 0.33394 -1.35928 1.94076 -1.88849 1.21954 -0.15236 -0.96458 1.76653 -1.99163 1.56638 -0.62963 -0.51273 1.48765 -1.97679 1.82041 -1.06959 -0.03050 1.12063 -1.84483 1.96660 -1.44619 0.45353 0.68722 -1.60357 1.99628 -1.73711 0.91070 0.21310 -1.26731 1.90769 -1.92512 1.31391 -0.27365 -0.85597 1.70608 -1.99907 1.63928 -0.74418 -0.39392 1.40339 -1.95459 1.86752 -1.17063 0.09147 1.01756 -1.79431 1.98513 -1.52772 0.57144 ... ... ..... ....... ......... ........... ............. E43 * 2.00000 -1.73711 1.01756 -0.03050 -0.96458 1.70608 -1.99907 1.76653 -1.06959 0.09147 0.91070 -1.67345 1.99628 -1.79431 1.12063 -0.15236 -0.85597 1.63928 -1.99163 1.82041 -1.17063 0.21310 0.80045 -1.60357 1.98513 -1.84483 1.21954 -0.27365 -0.74418 1.56638 -1.97679 1.86752 -1.26731 0.33394 0.68722 -1.52772 1.96660 -1.88849 1.31391 -0.39392 -0.62963 1.48765 -1.95459 1.90769 -1.35928 0.45353 0.57144 -1.44619 1.94076 -1.92512 1.40339 -0.51273 ... ... ..... ....... ......... ........... ............. E44 * 2.00000 -1.79431 1.21954 -0.39392 -0.51273 1.31391 -1.84483 1.99628 -1.73711 1.12063 -0.27365 -0.62963 1.40339 -1.88849 1.98513 -1.67345 1.01756 -0.15236 -0.74418 1.48765 -1.92512 1.96660 -1.60357 0.91070 -0.03050 -0.85597 1.56638 -1.95459 1.94076 -1.52772 0.80045 0.09147 -0.96458 1.63928 -1.97679 1.90769 -1.44619 0.68722 0.21310 -1.06959 1.70608 -1.99163 1.86752 -1.35928 0.57144 0.33394 -1.17063 1.76653 -1.99907 1.82041 -1.26731 0.45353 ... ... ..... ....... ......... ........... ............. E45 * 2.00000 -1.84483 1.40339 -0.74418 -0.03050 0.80045 -1.44619 1.86752 -1.99907 1.82041 -1.35928 0.68722 0.09147 -0.85597 1.48765 -1.88849 1.99628 -1.79431 1.31391 -0.62963 -0.15236 0.91070 -1.52772 1.90769 -1.99163 1.76653 -1.26731 0.57144 0.21310 -0.96458 1.56638 -1.92512 1.98513 -1.73711 1.21954 -0.51273 -0.27365 1.01756 -1.60357 1.94076 -1.97679 1.70608 -1.17063 0.45353 0.33394 -1.06959 1.63928 -1.95459 1.96660 -1.67345 1.12063 -0.39392 ... ... ..... ....... ......... ........... ............. E46 * 2.00000 -1.88849 1.56638 -1.06959 0.45353 0.21310 -0.85597 1.40339 -1.79431 1.98513 -1.95459 1.70608 -1.26731 0.68722 -0.03050 -0.62963 1.21954 -1.67345 1.94076 -1.99163 1.82041 -1.44619 0.91070 -0.27365 -0.39392 1.01756 -1.52772 1.86752 -1.99907 1.90769 -1.60357 1.12063 -0.51273 -0.15236 0.80045 -1.35928 1.76653 -1.97679 1.96660 -1.73711 1.31391 -0.74418 0.09147 0.57144 -1.17063 1.63928 -1.92512 1.99628 -1.84483 1.48765 -0.96458 0.33394 ... ... ..... ....... ......... ........... ............. E47 * 2.00000 -1.92512 1.70608 -1.35928 0.91070 -0.39392 -0.15236 0.68722 -1.17063 1.56638 -1.84483 1.98513 -1.97679 1.82041 -1.52772 1.12063 -0.62963 0.09147 0.45353 -0.96458 1.40339 -1.73711 1.94076 -1.99907 1.90769 -1.67345 1.31391 -0.85597 0.33394 0.21310 -0.74418 1.21954 -1.60357 1.86752 -1.99163 1.96660 -1.79431 1.48765 -1.06959 0.57144 -0.03050 -0.51273 1.01756 -1.44619 1.76653 -1.95459 1.99628 -1.88849 1.63928 -1.26731 0.80045 -0.27365 ... ... ..... ....... ......... ........... ............. E48 * 2.00000 -1.95459 1.82041 -1.60357 1.31391 -0.96458 0.57144 -0.15236 -0.27365 0.68722 -1.06959 1.40339 -1.67345 1.86752 -1.97679 1.99628 -1.92512 1.76653 -1.52772 1.21954 -0.85597 0.45353 -0.03050 -0.39392 0.80045 -1.17063 1.48765 -1.73711 1.90769 -1.99163 1.98513 -1.88849 1.70608 -1.44619 1.12063 -0.74418 0.33394 0.09147 -0.51273 0.91070 -1.26731 1.56638 -1.79431 1.94076 -1.99907 1.96660 -1.84483 1.63928 -1.35928 1.01756 -0.62963 0.21310 ... ... ..... ....... ......... ........... ............. E49 * 2.00000 -1.97679 1.90769 -1.79431 1.63928 -1.44619 1.21954 -0.96458 0.68722 -0.39392 0.09147 0.21310 -0.51273 0.80045 -1.06959 1.31391 -1.52772 1.70608 -1.84483 1.94076 -1.99163 1.99628 -1.95459 1.86752 -1.73711 1.56638 -1.35928 1.12063 -0.85597 0.57144 -0.27365 -0.03050 0.33394 -0.62963 0.91070 -1.17063 1.40339 -1.60357 1.76653 -1.88849 1.96660 -1.99907 1.98513 -1.92512 1.82041 -1.67345 1.48765 -1.26731 1.01756 -0.74418 0.45353 -0.15236 ... ... ..... ....... ......... ........... ............. E50 * 2.00000 -1.99163 1.96660 -1.92512 1.86752 -1.79431 1.70608 -1.60357 1.48765 -1.35928 1.21954 -1.06959 0.91070 -0.74418 0.57144 -0.39392 0.21310 -0.03050 -0.15236 0.33394 -0.51273 0.68722 -0.85597 1.01756 -1.17063 1.31391 -1.44619 1.56638 -1.67345 1.76653 -1.84483 1.90769 -1.95459 1.98513 -1.99907 1.99628 -1.97679 1.94076 -1.88849 1.82041 -1.73711 1.63928 -1.52772 1.40339 -1.26731 1.12063 -0.96458 0.80045 -0.62963 0.45353 -0.27365 0.09147 ... ... ..... ....... ......... ........... ............. E51 * 2.00000 -1.99907 1.99628 -1.99163 1.98513 -1.97679 1.96660 -1.95459 1.94076 -1.92512 1.90769 -1.88849 1.86752 -1.84483 1.82041 -1.79431 1.76653 -1.73711 1.70608 -1.67345 1.63928 -1.60357 1.56638 -1.52772 1.48765 -1.44619 1.40339 -1.35928 1.31391 -1.26731 1.21954 -1.17063 1.12063 -1.06959 1.01756 -0.96458 0.91070 -0.85597 0.80045 -0.74418 0.68722 -0.62963 0.57144 -0.51273 0.45353 -0.39392 0.33394 -0.27365 0.21310 -0.15236 0.09147 -0.03050 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.996279934320 = 2*cos(2*π/103) 1.985133576168 = 2*cos(4*π/103) 1.966602390729 = 2*cos(6*π/103) 1.940755315229 = 2*cos(8*π/103) 1.907688502487 = 2*cos(10*π/103) 1.867524963219 = 2*cos(12*π/103) 1.820414108428 = 2*cos(14*π/103) 1.766531193589 = 2*cos(16*π/103) 1.706076666683 = 2*cos(18*π/103) 1.639275422522 = 2*cos(20*π/103) 1.566375966121 = 2*cos(22*π/103) 1.487649488246 = 2*cos(24*π/103) 1.403388856566 = 2*cos(26*π/103) 1.313907526165 = 2*cos(28*π/103) 1.219538373468 = 2*cos(30*π/103) 1.120632457923 = 2*cos(32*π/103) 1.017557716030 = 2*cos(34*π/103) 0.910697592601 = 2*cos(36*π/103) 0.800449614313 = 2*cos(38*π/103) 0.687223910885 = 2*cos(40*π/103) 0.571441689372 = 2*cos(42*π/103) 0.453533667242 = 2*cos(44*π/103) 0.333938470082 = 2*cos(46*π/103) 0.213100999880 = 2*cos(48*π/103) 0.091470779962 = 2*cos(50*π/103) -0.030499717266 = 2*cos(52*π/103) -0.152356753542 = 2*cos(54*π/103) -0.273647012688 = 2*cos(56*π/103) -0.393919286973 = 2*cos(58*π/103) -0.512726155639 = 2*cos(60*π/103) -0.629625649329 = 2*cos(62*π/103) -0.744182894250 = 2*cos(64*π/103) -0.855971729926 = 2*cos(66*π/103) -0.964576294547 = 2*cos(68*π/103) -1.069592571998 = 2*cos(70*π/103) -1.170629894830 = 2*cos(72*π/103) -1.267312397567 = 2*cos(74*π/103) -1.359280414947 = 2*cos(76*π/103) -1.446191819906 = 2*cos(78*π/103) -1.527723296308 = 2*cos(80*π/103) -1.603571541707 = 2*cos(82*π/103) -1.673454395648 = 2*cos(84*π/103) -1.737111889324 = 2*cos(86*π/103) -1.794307212678 = 2*cos(88*π/103) -1.844827595350 = 2*cos(90*π/103) -1.888485098199 = 2*cos(92*π/103) -1.925117312447 = 2*cos(94*π/103) -1.954587963850 = 2*cos(96*π/103) -1.976787419650 = 2*cos(98*π/103) -1.991633096413 = 2*cos(100*π/103) -1.999069767247 = 2*cos(102*π/103) 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 C103 point group is 103, and the order of the principal axis (C103) is 103. The group has 52 irreducible representations. β The C103 point group is generated by one single symmetry element, C103. Therefore, it is a cyclic group. γ The lowest nonvanishing multipole moment in C103 is 2 (dipole moment). δ This is an Abelian point group (the commutative law holds between all symmetry operations). The C103 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 102 cases have been combined into 51 two-dimensional representations that are no longer irreducible but have real-valued characters. Accordingly, 51 pairs of left and right rotations have been combined into one two-membered pseudo-class each. ζ The 51 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.
| C101 | ||
| C102 | ||
| C103 | C103v C103h D103 D103h D103d | |
| C104 | ||
| C105 |
This Character Table for the C103 point group was created by Gernot Katzer.
For other groups and some explanations, see the Main Page.