Character Table for Point Group D67h

Character table for the D_67h point group

D67h E 2 C67 2 C67^2 2 C67^3 2 C67^4 2 C67^5 2 C67^6 2 C67^7 2 C67^8 2 C67^9 2 C67^10 2 C67^11 2 C67^12 2 C67^13 2 C67^14 2 C67^15 2 C67^16 2 C67^17 2 C67^18 2 C67^19 2 C67^20 2 C67^21 2 C67^22 2 C67^23 2 C67^24 2 C67^25 2 C67^26 2 C67^27 2 C67^28 2 C67^29 2 C67^30 2 C67^31 2 C67^32 2 C67^33 67 C2' sh 2 S67 2 S67^3 2 S67^5 2 S67^7 2 S67^9 2 S67^11 2 S67^13 2 S67^15 2 S67^17 2 S67^19 2 S67^21 2 S67^23 2 S67^25 2 S67^27 2 S67^29 2 S67^31 2 S67^33 2 S67^35 2 S67^37 2 S67^39 2 S67^41 2 S67^43 2 S67^45 2 S67^47 2 S67^49 2 S67^51 2 S67^53 2 S67^55 2 S67^57 2 S67^59 2 S67^61 2 S67^63 2 S67^65 67 sv <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> A1' 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 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 A1" 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 ... ... ..... ....... ......... ........... ............. A2' 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 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 ... ..... ....... ......... ........... ............. A2" 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -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 ............. E1' 2.00000 1.99121 1.96493 1.92137 1.86093 1.78414 1.69166 1.58432 1.46306 1.32894 1.18314 1.02695 0.86173 0.68893 0.51009 0.32675 0.14055 -0.04689 -0.23391 -0.41888 -0.60017 -0.77618 -0.94538 -1.10626 -1.25743 -1.39754 -1.52537 -1.63980 -1.73981 -1.82454 -1.89323 -1.94529 -1.98025 -1.99780 0.00000 2.00000 1.99121 1.92137 1.78414 1.58432 1.32894 1.02695 0.68893 0.32675 -0.04689 -0.41888 -0.77618 -1.10626 -1.39754 -1.63980 -1.82454 -1.94529 -1.99780 -1.98025 -1.89323 -1.73981 -1.52537 -1.25743 -0.94538 -0.60017 -0.23391 0.14055 0.51009 0.86173 1.18314 1.46306 1.69166 1.86093 1.96493 0.00000 ... TT. ..... ....TT. ......... ........TT. ............. E1" 2.00000 1.99121 1.96493 1.92137 1.86093 1.78414 1.69166 1.58432 1.46306 1.32894 1.18314 1.02695 0.86173 0.68893 0.51009 0.32675 0.14055 -0.04689 -0.23391 -0.41888 -0.60017 -0.77618 -0.94538 -1.10626 -1.25743 -1.39754 -1.52537 -1.63980 -1.73981 -1.82454 -1.89323 -1.94529 -1.98025 -1.99780 0.00000 -2.00000 -1.99121 -1.92137 -1.78414 -1.58432 -1.32894 -1.02695 -0.68893 -0.32675 0.04689 0.41888 0.77618 1.10626 1.39754 1.63980 1.82454 1.94529 1.99780 1.98025 1.89323 1.73981 1.52537 1.25743 0.94538 0.60017 0.23391 -0.14055 -0.51009 -0.86173 -1.18314 -1.46306 -1.69166 -1.86093 -1.96493 0.00000 TT. ... ..TT. ....... ......TT. ........... ..........TT. E2' 2.00000 1.96493 1.86093 1.69166 1.46306 1.18314 0.86173 0.51009 0.14055 -0.23391 -0.60017 -0.94538 -1.25743 -1.52537 -1.73981 -1.89323 -1.98025 -1.99780 -1.94529 -1.82454 -1.63980 -1.39754 -1.10626 -0.77618 -0.41888 -0.04689 0.32675 0.68893 1.02695 1.32894 1.58432 1.78414 1.92137 1.99121 0.00000 2.00000 1.96493 1.69166 1.18314 0.51009 -0.23391 -0.94538 -1.52537 -1.89323 -1.99780 -1.82454 -1.39754 -0.77618 -0.04689 0.68893 1.32894 1.78414 1.99121 1.92137 1.58432 1.02695 0.32675 -0.41888 -1.10626 -1.63980 -1.94529 -1.98025 -1.73981 -1.25743 -0.60017 0.14055 0.86173 1.46306 1.86093 0.00000 ... ... TT... ....... ....TT... ........... ........TT... E2" 2.00000 1.96493 1.86093 1.69166 1.46306 1.18314 0.86173 0.51009 0.14055 -0.23391 -0.60017 -0.94538 -1.25743 -1.52537 -1.73981 -1.89323 -1.98025 -1.99780 -1.94529 -1.82454 -1.63980 -1.39754 -1.10626 -0.77618 -0.41888 -0.04689 0.32675 0.68893 1.02695 1.32894 1.58432 1.78414 1.92137 1.99121 0.00000 -2.00000 -1.96493 -1.69166 -1.18314 -0.51009 0.23391 0.94538 1.52537 1.89323 1.99780 1.82454 1.39754 0.77618 0.04689 -0.68893 -1.32894 -1.78414 -1.99121 -1.92137 -1.58432 -1.02695 -0.32675 0.41888 1.10626 1.63980 1.94529 1.98025 1.73981 1.25743 0.60017 -0.14055 -0.86173 -1.46306 -1.86093 0.00000 ... ... ..... ..TT... ......... ......TT... ............. E3' 2.00000 1.92137 1.69166 1.32894 0.86173 0.32675 -0.23391 -0.77618 -1.25743 -1.63980 -1.89323 -1.99780 -1.94529 -1.73981 -1.39754 -0.94538 -0.41888 0.14055 0.68893 1.18314 1.58432 1.86093 1.99121 1.96493 1.78414 1.46306 1.02695 0.51009 -0.04689 -0.60017 -1.10626 -1.52537 -1.82454 -1.98025 0.00000 2.00000 1.92137 1.32894 0.32675 -0.77618 -1.63980 -1.99780 -1.73981 -0.94538 0.14055 1.18314 1.86093 1.96493 1.46306 0.51009 -0.60017 -1.52537 -1.98025 -1.82454 -1.10626 -0.04689 1.02695 1.78414 1.99121 1.58432 0.68893 -0.41888 -1.39754 -1.94529 -1.89323 -1.25743 -0.23391 0.86173 1.69166 0.00000 ... ... ..... TT..... ......... ....TT..... ............. E3" 2.00000 1.92137 1.69166 1.32894 0.86173 0.32675 -0.23391 -0.77618 -1.25743 -1.63980 -1.89323 -1.99780 -1.94529 -1.73981 -1.39754 -0.94538 -0.41888 0.14055 0.68893 1.18314 1.58432 1.86093 1.99121 1.96493 1.78414 1.46306 1.02695 0.51009 -0.04689 -0.60017 -1.10626 -1.52537 -1.82454 -1.98025 0.00000 -2.00000 -1.92137 -1.32894 -0.32675 0.77618 1.63980 1.99780 1.73981 0.94538 -0.14055 -1.18314 -1.86093 -1.96493 -1.46306 -0.51009 0.60017 1.52537 1.98025 1.82454 1.10626 0.04689 -1.02695 -1.78414 -1.99121 -1.58432 -0.68893 0.41888 1.39754 1.94529 1.89323 1.25743 0.23391 -0.86173 -1.69166 0.00000 ... ... ..... ....... ..TT..... ........... ......TT..... E4' 2.00000 1.86093 1.46306 0.86173 0.14055 -0.60017 -1.25743 -1.73981 -1.98025 -1.94529 -1.63980 -1.10626 -0.41888 0.32675 1.02695 1.58432 1.92137 1.99121 1.78414 1.32894 0.68893 -0.04689 -0.77618 -1.39754 -1.82454 -1.99780 -1.89323 -1.52537 -0.94538 -0.23391 0.51009 1.18314 1.69166 1.96493 0.00000 2.00000 1.86093 0.86173 -0.60017 -1.73981 -1.94529 -1.10626 0.32675 1.58432 1.99121 1.32894 -0.04689 -1.39754 -1.99780 -1.52537 -0.23391 1.18314 1.96493 1.69166 0.51009 -0.94538 -1.89323 -1.82454 -0.77618 0.68893 1.78414 1.92137 1.02695 -0.41888 -1.63980 -1.98025 -1.25743 0.14055 1.46306 0.00000 ... ... ..... ....... TT....... ........... ....TT....... E4" 2.00000 1.86093 1.46306 0.86173 0.14055 -0.60017 -1.25743 -1.73981 -1.98025 -1.94529 -1.63980 -1.10626 -0.41888 0.32675 1.02695 1.58432 1.92137 1.99121 1.78414 1.32894 0.68893 -0.04689 -0.77618 -1.39754 -1.82454 -1.99780 -1.89323 -1.52537 -0.94538 -0.23391 0.51009 1.18314 1.69166 1.96493 0.00000 -2.00000 -1.86093 -0.86173 0.60017 1.73981 1.94529 1.10626 -0.32675 -1.58432 -1.99121 -1.32894 0.04689 1.39754 1.99780 1.52537 0.23391 -1.18314 -1.96493 -1.69166 -0.51009 0.94538 1.89323 1.82454 0.77618 -0.68893 -1.78414 -1.92137 -1.02695 0.41888 1.63980 1.98025 1.25743 -0.14055 -1.46306 0.00000 ... ... ..... ....... ......... ..TT....... ............. E5' 2.00000 1.78414 1.18314 0.32675 -0.60017 -1.39754 -1.89323 -1.98025 -1.63980 -0.94538 -0.04689 0.86173 1.58432 1.96493 1.92137 1.46306 0.68893 -0.23391 -1.10626 -1.73981 -1.99780 -1.82454 -1.25743 -0.41888 0.51009 1.32894 1.86093 1.99121 1.69166 1.02695 0.14055 -0.77618 -1.52537 -1.94529 0.00000 2.00000 1.78414 0.32675 -1.39754 -1.98025 -0.94538 0.86173 1.96493 1.46306 -0.23391 -1.73981 -1.82454 -0.41888 1.32894 1.99121 1.02695 -0.77618 -1.94529 -1.52537 0.14055 1.69166 1.86093 0.51009 -1.25743 -1.99780 -1.10626 0.68893 1.92137 1.58432 -0.04689 -1.63980 -1.89323 -0.60017 1.18314 0.00000 ... ... ..... ....... ......... TT......... ............. E5" 2.00000 1.78414 1.18314 0.32675 -0.60017 -1.39754 -1.89323 -1.98025 -1.63980 -0.94538 -0.04689 0.86173 1.58432 1.96493 1.92137 1.46306 0.68893 -0.23391 -1.10626 -1.73981 -1.99780 -1.82454 -1.25743 -0.41888 0.51009 1.32894 1.86093 1.99121 1.69166 1.02695 0.14055 -0.77618 -1.52537 -1.94529 0.00000 -2.00000 -1.78414 -0.32675 1.39754 1.98025 0.94538 -0.86173 -1.96493 -1.46306 0.23391 1.73981 1.82454 0.41888 -1.32894 -1.99121 -1.02695 0.77618 1.94529 1.52537 -0.14055 -1.69166 -1.86093 -0.51009 1.25743 1.99780 1.10626 -0.68893 -1.92137 -1.58432 0.04689 1.63980 1.89323 0.60017 -1.18314 0.00000 ... ... ..... ....... ......... ........... ..TT......... E6' 2.00000 1.69166 0.86173 -0.23391 -1.25743 -1.89323 -1.94529 -1.39754 -0.41888 0.68893 1.58432 1.99121 1.78414 1.02695 -0.04689 -1.10626 -1.82454 -1.98025 -1.52537 -0.60017 0.51009 1.46306 1.96493 1.86093 1.18314 0.14055 -0.94538 -1.73981 -1.99780 -1.63980 -0.77618 0.32675 1.32894 1.92137 0.00000 2.00000 1.69166 -0.23391 -1.89323 -1.39754 0.68893 1.99121 1.02695 -1.10626 -1.98025 -0.60017 1.46306 1.86093 0.14055 -1.73981 -1.63980 0.32675 1.92137 1.32894 -0.77618 -1.99780 -0.94538 1.18314 1.96493 0.51009 -1.52537 -1.82454 -0.04689 1.78414 1.58432 -0.41888 -1.94529 -1.25743 0.86173 0.00000 ... ... ..... ....... ......... ........... TT........... E6" 2.00000 1.69166 0.86173 -0.23391 -1.25743 -1.89323 -1.94529 -1.39754 -0.41888 0.68893 1.58432 1.99121 1.78414 1.02695 -0.04689 -1.10626 -1.82454 -1.98025 -1.52537 -0.60017 0.51009 1.46306 1.96493 1.86093 1.18314 0.14055 -0.94538 -1.73981 -1.99780 -1.63980 -0.77618 0.32675 1.32894 1.92137 0.00000 -2.00000 -1.69166 0.23391 1.89323 1.39754 -0.68893 -1.99121 -1.02695 1.10626 1.98025 0.60017 -1.46306 -1.86093 -0.14055 1.73981 1.63980 -0.32675 -1.92137 -1.32894 0.77618 1.99780 0.94538 -1.18314 -1.96493 -0.51009 1.52537 1.82454 0.04689 -1.78414 -1.58432 0.41888 1.94529 1.25743 -0.86173 0.00000 ... ... ..... ....... ......... ........... ............. E7' 2.00000 1.58432 0.51009 -0.77618 -1.73981 -1.98025 -1.39754 -0.23391 1.02695 1.86093 1.92137 1.18314 -0.04689 -1.25743 -1.94529 -1.82454 -0.94538 0.32675 1.46306 1.99121 1.69166 0.68893 -0.60017 -1.63980 -1.99780 -1.52537 -0.41888 0.86173 1.78414 1.96493 1.32894 0.14055 -1.10626 -1.89323 0.00000 2.00000 1.58432 -0.77618 -1.98025 -0.23391 1.86093 1.18314 -1.25743 -1.82454 0.32675 1.99121 0.68893 -1.63980 -1.52537 0.86173 1.96493 0.14055 -1.89323 -1.10626 1.32894 1.78414 -0.41888 -1.99780 -0.60017 1.69166 1.46306 -0.94538 -1.94529 -0.04689 1.92137 1.02695 -1.39754 -1.73981 0.51009 0.00000 ... ... ..... ....... ......... ........... ............. E7" 2.00000 1.58432 0.51009 -0.77618 -1.73981 -1.98025 -1.39754 -0.23391 1.02695 1.86093 1.92137 1.18314 -0.04689 -1.25743 -1.94529 -1.82454 -0.94538 0.32675 1.46306 1.99121 1.69166 0.68893 -0.60017 -1.63980 -1.99780 -1.52537 -0.41888 0.86173 1.78414 1.96493 1.32894 0.14055 -1.10626 -1.89323 0.00000 -2.00000 -1.58432 0.77618 1.98025 0.23391 -1.86093 -1.18314 1.25743 1.82454 -0.32675 -1.99121 -0.68893 1.63980 1.52537 -0.86173 -1.96493 -0.14055 1.89323 1.10626 -1.32894 -1.78414 0.41888 1.99780 0.60017 -1.69166 -1.46306 0.94538 1.94529 0.04689 -1.92137 -1.02695 1.39754 1.73981 -0.51009 0.00000 ... ... ..... ....... ......... ........... ............. E8' 2.00000 1.46306 0.14055 -1.25743 -1.98025 -1.63980 -0.41888 1.02695 1.92137 1.78414 0.68893 -0.77618 -1.82454 -1.89323 -0.94538 0.51009 1.69166 1.96493 1.18314 -0.23391 -1.52537 -1.99780 -1.39754 -0.04689 1.32894 1.99121 1.58432 0.32675 -1.10626 -1.94529 -1.73981 -0.60017 0.86173 1.86093 0.00000 2.00000 1.46306 -1.25743 -1.63980 1.02695 1.78414 -0.77618 -1.89323 0.51009 1.96493 -0.23391 -1.99780 -0.04689 1.99121 0.32675 -1.94529 -0.60017 1.86093 0.86173 -1.73981 -1.10626 1.58432 1.32894 -1.39754 -1.52537 1.18314 1.69166 -0.94538 -1.82454 0.68893 1.92137 -0.41888 -1.98025 0.14055 0.00000 ... ... ..... ....... ......... ........... ............. E8" 2.00000 1.46306 0.14055 -1.25743 -1.98025 -1.63980 -0.41888 1.02695 1.92137 1.78414 0.68893 -0.77618 -1.82454 -1.89323 -0.94538 0.51009 1.69166 1.96493 1.18314 -0.23391 -1.52537 -1.99780 -1.39754 -0.04689 1.32894 1.99121 1.58432 0.32675 -1.10626 -1.94529 -1.73981 -0.60017 0.86173 1.86093 0.00000 -2.00000 -1.46306 1.25743 1.63980 -1.02695 -1.78414 0.77618 1.89323 -0.51009 -1.96493 0.23391 1.99780 0.04689 -1.99121 -0.32675 1.94529 0.60017 -1.86093 -0.86173 1.73981 1.10626 -1.58432 -1.32894 1.39754 1.52537 -1.18314 -1.69166 0.94538 1.82454 -0.68893 -1.92137 0.41888 1.98025 -0.14055 0.00000 ... ... ..... ....... ......... ........... ............. E9' 2.00000 1.32894 -0.23391 -1.63980 -1.94529 -0.94538 0.68893 1.86093 1.78414 0.51009 -1.10626 -1.98025 -1.52537 -0.04689 1.46306 1.99121 1.18314 -0.41888 -1.73981 -1.89323 -0.77618 0.86173 1.92137 1.69166 0.32675 -1.25743 -1.99780 -1.39754 0.14055 1.58432 1.96493 1.02695 -0.60017 -1.82454 0.00000 2.00000 1.32894 -1.63980 -0.94538 1.86093 0.51009 -1.98025 -0.04689 1.99121 -0.41888 -1.89323 0.86173 1.69166 -1.25743 -1.39754 1.58432 1.02695 -1.82454 -0.60017 1.96493 0.14055 -1.99780 0.32675 1.92137 -0.77618 -1.73981 1.18314 1.46306 -1.52537 -1.10626 1.78414 0.68893 -1.94529 -0.23391 0.00000 ... ... ..... ....... ......... ........... ............. E9" 2.00000 1.32894 -0.23391 -1.63980 -1.94529 -0.94538 0.68893 1.86093 1.78414 0.51009 -1.10626 -1.98025 -1.52537 -0.04689 1.46306 1.99121 1.18314 -0.41888 -1.73981 -1.89323 -0.77618 0.86173 1.92137 1.69166 0.32675 -1.25743 -1.99780 -1.39754 0.14055 1.58432 1.96493 1.02695 -0.60017 -1.82454 0.00000 -2.00000 -1.32894 1.63980 0.94538 -1.86093 -0.51009 1.98025 0.04689 -1.99121 0.41888 1.89323 -0.86173 -1.69166 1.25743 1.39754 -1.58432 -1.02695 1.82454 0.60017 -1.96493 -0.14055 1.99780 -0.32675 -1.92137 0.77618 1.73981 -1.18314 -1.46306 1.52537 1.10626 -1.78414 -0.68893 1.94529 0.23391 0.00000 ... ... ..... ....... ......... ........... ............. E10' 2.00000 1.18314 -0.60017 -1.89323 -1.63980 -0.04689 1.58432 1.92137 0.68893 -1.10626 -1.99780 -1.25743 0.51009 1.86093 1.69166 0.14055 -1.52537 -1.94529 -0.77618 1.02695 1.99121 1.32894 -0.41888 -1.82454 -1.73981 -0.23391 1.46306 1.96493 0.86173 -0.94538 -1.98025 -1.39754 0.32675 1.78414 0.00000 2.00000 1.18314 -1.89323 -0.04689 1.92137 -1.10626 -1.25743 1.86093 0.14055 -1.94529 1.02695 1.32894 -1.82454 -0.23391 1.96493 -0.94538 -1.39754 1.78414 0.32675 -1.98025 0.86173 1.46306 -1.73981 -0.41888 1.99121 -0.77618 -1.52537 1.69166 0.51009 -1.99780 0.68893 1.58432 -1.63980 -0.60017 0.00000 ... ... ..... ....... ......... ........... ............. E10" 2.00000 1.18314 -0.60017 -1.89323 -1.63980 -0.04689 1.58432 1.92137 0.68893 -1.10626 -1.99780 -1.25743 0.51009 1.86093 1.69166 0.14055 -1.52537 -1.94529 -0.77618 1.02695 1.99121 1.32894 -0.41888 -1.82454 -1.73981 -0.23391 1.46306 1.96493 0.86173 -0.94538 -1.98025 -1.39754 0.32675 1.78414 0.00000 -2.00000 -1.18314 1.89323 0.04689 -1.92137 1.10626 1.25743 -1.86093 -0.14055 1.94529 -1.02695 -1.32894 1.82454 0.23391 -1.96493 0.94538 1.39754 -1.78414 -0.32675 1.98025 -0.86173 -1.46306 1.73981 0.41888 -1.99121 0.77618 1.52537 -1.69166 -0.51009 1.99780 -0.68893 -1.58432 1.63980 0.60017 0.00000 ... ... ..... ....... ......... ........... ............. E11' 2.00000 1.02695 -0.94538 -1.99780 -1.10626 0.86173 1.99121 1.18314 -0.77618 -1.98025 -1.25743 0.68893 1.96493 1.32894 -0.60017 -1.94529 -1.39754 0.51009 1.92137 1.46306 -0.41888 -1.89323 -1.52537 0.32675 1.86093 1.58432 -0.23391 -1.82454 -1.63980 0.14055 1.78414 1.69166 -0.04689 -1.73981 0.00000 2.00000 1.02695 -1.99780 0.86173 1.18314 -1.98025 0.68893 1.32894 -1.94529 0.51009 1.46306 -1.89323 0.32675 1.58432 -1.82454 0.14055 1.69166 -1.73981 -0.04689 1.78414 -1.63980 -0.23391 1.86093 -1.52537 -0.41888 1.92137 -1.39754 -0.60017 1.96493 -1.25743 -0.77618 1.99121 -1.10626 -0.94538 0.00000 ... ... ..... ....... ......... ........... ............. E11" 2.00000 1.02695 -0.94538 -1.99780 -1.10626 0.86173 1.99121 1.18314 -0.77618 -1.98025 -1.25743 0.68893 1.96493 1.32894 -0.60017 -1.94529 -1.39754 0.51009 1.92137 1.46306 -0.41888 -1.89323 -1.52537 0.32675 1.86093 1.58432 -0.23391 -1.82454 -1.63980 0.14055 1.78414 1.69166 -0.04689 -1.73981 0.00000 -2.00000 -1.02695 1.99780 -0.86173 -1.18314 1.98025 -0.68893 -1.32894 1.94529 -0.51009 -1.46306 1.89323 -0.32675 -1.58432 1.82454 -0.14055 -1.69166 1.73981 0.04689 -1.78414 1.63980 0.23391 -1.86093 1.52537 0.41888 -1.92137 1.39754 0.60017 -1.96493 1.25743 0.77618 -1.99121 1.10626 0.94538 0.00000 ... ... ..... ....... ......... ........... ............. E12' 2.00000 0.86173 -1.25743 -1.94529 -0.41888 1.58432 1.78414 -0.04689 -1.82454 -1.52537 0.51009 1.96493 1.18314 -0.94538 -1.99780 -0.77618 1.32894 1.92137 0.32675 -1.63980 -1.73981 0.14055 1.86093 1.46306 -0.60017 -1.98025 -1.10626 1.02695 1.99121 0.68893 -1.39754 -1.89323 -0.23391 1.69166 0.00000 2.00000 0.86173 -1.94529 1.58432 -0.04689 -1.52537 1.96493 -0.94538 -0.77618 1.92137 -1.63980 0.14055 1.46306 -1.98025 1.02695 0.68893 -1.89323 1.69166 -0.23391 -1.39754 1.99121 -1.10626 -0.60017 1.86093 -1.73981 0.32675 1.32894 -1.99780 1.18314 0.51009 -1.82454 1.78414 -0.41888 -1.25743 0.00000 ... ... ..... ....... ......... ........... ............. E12" 2.00000 0.86173 -1.25743 -1.94529 -0.41888 1.58432 1.78414 -0.04689 -1.82454 -1.52537 0.51009 1.96493 1.18314 -0.94538 -1.99780 -0.77618 1.32894 1.92137 0.32675 -1.63980 -1.73981 0.14055 1.86093 1.46306 -0.60017 -1.98025 -1.10626 1.02695 1.99121 0.68893 -1.39754 -1.89323 -0.23391 1.69166 0.00000 -2.00000 -0.86173 1.94529 -1.58432 0.04689 1.52537 -1.96493 0.94538 0.77618 -1.92137 1.63980 -0.14055 -1.46306 1.98025 -1.02695 -0.68893 1.89323 -1.69166 0.23391 1.39754 -1.99121 1.10626 0.60017 -1.86093 1.73981 -0.32675 -1.32894 1.99780 -1.18314 -0.51009 1.82454 -1.78414 0.41888 1.25743 0.00000 ... ... ..... ....... ......... ........... ............. E13' 2.00000 0.68893 -1.52537 -1.73981 0.32675 1.96493 1.02695 -1.25743 -1.89323 -0.04689 1.86093 1.32894 -0.94538 -1.98025 -0.41888 1.69166 1.58432 -0.60017 -1.99780 -0.77618 1.46306 1.78414 -0.23391 -1.94529 -1.10626 1.18314 1.92137 0.14055 -1.82454 -1.39754 0.86173 1.99121 0.51009 -1.63980 0.00000 2.00000 0.68893 -1.73981 1.96493 -1.25743 -0.04689 1.32894 -1.98025 1.69166 -0.60017 -0.77618 1.78414 -1.94529 1.18314 0.14055 -1.39754 1.99121 -1.63980 0.51009 0.86173 -1.82454 1.92137 -1.10626 -0.23391 1.46306 -1.99780 1.58432 -0.41888 -0.94538 1.86093 -1.89323 1.02695 0.32675 -1.52537 0.00000 ... ... ..... ....... ......... ........... ............. E13" 2.00000 0.68893 -1.52537 -1.73981 0.32675 1.96493 1.02695 -1.25743 -1.89323 -0.04689 1.86093 1.32894 -0.94538 -1.98025 -0.41888 1.69166 1.58432 -0.60017 -1.99780 -0.77618 1.46306 1.78414 -0.23391 -1.94529 -1.10626 1.18314 1.92137 0.14055 -1.82454 -1.39754 0.86173 1.99121 0.51009 -1.63980 0.00000 -2.00000 -0.68893 1.73981 -1.96493 1.25743 0.04689 -1.32894 1.98025 -1.69166 0.60017 0.77618 -1.78414 1.94529 -1.18314 -0.14055 1.39754 -1.99121 1.63980 -0.51009 -0.86173 1.82454 -1.92137 1.10626 0.23391 -1.46306 1.99780 -1.58432 0.41888 0.94538 -1.86093 1.89323 -1.02695 -0.32675 1.52537 0.00000 ... ... ..... ....... ......... ........... ............. E14' 2.00000 0.51009 -1.73981 -1.39754 1.02695 1.92137 -0.04689 -1.94529 -0.94538 1.46306 1.69166 -0.60017 -1.99780 -0.41888 1.78414 1.32894 -1.10626 -1.89323 0.14055 1.96493 0.86173 -1.52537 -1.63980 0.68893 1.99121 0.32675 -1.82454 -1.25743 1.18314 1.86093 -0.23391 -1.98025 -0.77618 1.58432 0.00000 2.00000 0.51009 -1.39754 1.92137 -1.94529 1.46306 -0.60017 -0.41888 1.32894 -1.89323 1.96493 -1.52537 0.68893 0.32675 -1.25743 1.86093 -1.98025 1.58432 -0.77618 -0.23391 1.18314 -1.82454 1.99121 -1.63980 0.86173 0.14055 -1.10626 1.78414 -1.99780 1.69166 -0.94538 -0.04689 1.02695 -1.73981 0.00000 ... ... ..... ....... ......... ........... ............. E14" 2.00000 0.51009 -1.73981 -1.39754 1.02695 1.92137 -0.04689 -1.94529 -0.94538 1.46306 1.69166 -0.60017 -1.99780 -0.41888 1.78414 1.32894 -1.10626 -1.89323 0.14055 1.96493 0.86173 -1.52537 -1.63980 0.68893 1.99121 0.32675 -1.82454 -1.25743 1.18314 1.86093 -0.23391 -1.98025 -0.77618 1.58432 0.00000 -2.00000 -0.51009 1.39754 -1.92137 1.94529 -1.46306 0.60017 0.41888 -1.32894 1.89323 -1.96493 1.52537 -0.68893 -0.32675 1.25743 -1.86093 1.98025 -1.58432 0.77618 0.23391 -1.18314 1.82454 -1.99121 1.63980 -0.86173 -0.14055 1.10626 -1.78414 1.99780 -1.69166 0.94538 0.04689 -1.02695 1.73981 0.00000 ... ... ..... ....... ......... ........... ............. E15' 2.00000 0.32675 -1.89323 -0.94538 1.58432 1.46306 -1.10626 -1.82454 0.51009 1.99121 0.14055 -1.94529 -0.77618 1.69166 1.32894 -1.25743 -1.73981 0.68893 1.96493 -0.04689 -1.98025 -0.60017 1.78414 1.18314 -1.39754 -1.63980 0.86173 1.92137 -0.23391 -1.99780 -0.41888 1.86093 1.02695 -1.52537 0.00000 2.00000 0.32675 -0.94538 1.46306 -1.82454 1.99121 -1.94529 1.69166 -1.25743 0.68893 -0.04689 -0.60017 1.18314 -1.63980 1.92137 -1.99780 1.86093 -1.52537 1.02695 -0.41888 -0.23391 0.86173 -1.39754 1.78414 -1.98025 1.96493 -1.73981 1.32894 -0.77618 0.14055 0.51009 -1.10626 1.58432 -1.89323 0.00000 ... ... ..... ....... ......... ........... ............. E15" 2.00000 0.32675 -1.89323 -0.94538 1.58432 1.46306 -1.10626 -1.82454 0.51009 1.99121 0.14055 -1.94529 -0.77618 1.69166 1.32894 -1.25743 -1.73981 0.68893 1.96493 -0.04689 -1.98025 -0.60017 1.78414 1.18314 -1.39754 -1.63980 0.86173 1.92137 -0.23391 -1.99780 -0.41888 1.86093 1.02695 -1.52537 0.00000 -2.00000 -0.32675 0.94538 -1.46306 1.82454 -1.99121 1.94529 -1.69166 1.25743 -0.68893 0.04689 0.60017 -1.18314 1.63980 -1.92137 1.99780 -1.86093 1.52537 -1.02695 0.41888 0.23391 -0.86173 1.39754 -1.78414 1.98025 -1.96493 1.73981 -1.32894 0.77618 -0.14055 -0.51009 1.10626 -1.58432 1.89323 0.00000 ... ... ..... ....... ......... ........... ............. E16' 2.00000 0.14055 -1.98025 -0.41888 1.92137 0.68893 -1.82454 -0.94538 1.69166 1.18314 -1.52537 -1.39754 1.32894 1.58432 -1.10626 -1.73981 0.86173 1.86093 -0.60017 -1.94529 0.32675 1.99121 -0.04689 -1.99780 -0.23391 1.96493 0.51009 -1.89323 -0.77618 1.78414 1.02695 -1.63980 -1.25743 1.46306 0.00000 2.00000 0.14055 -0.41888 0.68893 -0.94538 1.18314 -1.39754 1.58432 -1.73981 1.86093 -1.94529 1.99121 -1.99780 1.96493 -1.89323 1.78414 -1.63980 1.46306 -1.25743 1.02695 -0.77618 0.51009 -0.23391 -0.04689 0.32675 -0.60017 0.86173 -1.10626 1.32894 -1.52537 1.69166 -1.82454 1.92137 -1.98025 0.00000 ... ... ..... ....... ......... ........... ............. E16" 2.00000 0.14055 -1.98025 -0.41888 1.92137 0.68893 -1.82454 -0.94538 1.69166 1.18314 -1.52537 -1.39754 1.32894 1.58432 -1.10626 -1.73981 0.86173 1.86093 -0.60017 -1.94529 0.32675 1.99121 -0.04689 -1.99780 -0.23391 1.96493 0.51009 -1.89323 -0.77618 1.78414 1.02695 -1.63980 -1.25743 1.46306 0.00000 -2.00000 -0.14055 0.41888 -0.68893 0.94538 -1.18314 1.39754 -1.58432 1.73981 -1.86093 1.94529 -1.99121 1.99780 -1.96493 1.89323 -1.78414 1.63980 -1.46306 1.25743 -1.02695 0.77618 -0.51009 0.23391 0.04689 -0.32675 0.60017 -0.86173 1.10626 -1.32894 1.52537 -1.69166 1.82454 -1.92137 1.98025 0.00000 ... ... ..... ....... ......... ........... ............. E17' 2.00000 -0.04689 -1.99780 0.14055 1.99121 -0.23391 -1.98025 0.32675 1.96493 -0.41888 -1.94529 0.51009 1.92137 -0.60017 -1.89323 0.68893 1.86093 -0.77618 -1.82454 0.86173 1.78414 -0.94538 -1.73981 1.02695 1.69166 -1.10626 -1.63980 1.18314 1.58432 -1.25743 -1.52537 1.32894 1.46306 -1.39754 0.00000 2.00000 -0.04689 0.14055 -0.23391 0.32675 -0.41888 0.51009 -0.60017 0.68893 -0.77618 0.86173 -0.94538 1.02695 -1.10626 1.18314 -1.25743 1.32894 -1.39754 1.46306 -1.52537 1.58432 -1.63980 1.69166 -1.73981 1.78414 -1.82454 1.86093 -1.89323 1.92137 -1.94529 1.96493 -1.98025 1.99121 -1.99780 0.00000 ... ... ..... ....... ......... ........... ............. E17" 2.00000 -0.04689 -1.99780 0.14055 1.99121 -0.23391 -1.98025 0.32675 1.96493 -0.41888 -1.94529 0.51009 1.92137 -0.60017 -1.89323 0.68893 1.86093 -0.77618 -1.82454 0.86173 1.78414 -0.94538 -1.73981 1.02695 1.69166 -1.10626 -1.63980 1.18314 1.58432 -1.25743 -1.52537 1.32894 1.46306 -1.39754 0.00000 -2.00000 0.04689 -0.14055 0.23391 -0.32675 0.41888 -0.51009 0.60017 -0.68893 0.77618 -0.86173 0.94538 -1.02695 1.10626 -1.18314 1.25743 -1.32894 1.39754 -1.46306 1.52537 -1.58432 1.63980 -1.69166 1.73981 -1.78414 1.82454 -1.86093 1.89323 -1.92137 1.94529 -1.96493 1.98025 -1.99121 1.99780 0.00000 ... ... ..... ....... ......... ........... ............. E18' 2.00000 -0.23391 -1.94529 0.68893 1.78414 -1.10626 -1.52537 1.46306 1.18314 -1.73981 -0.77618 1.92137 0.32675 -1.99780 0.14055 1.96493 -0.60017 -1.82454 1.02695 1.58432 -1.39754 -1.25743 1.69166 0.86173 -1.89323 -0.41888 1.99121 -0.04689 -1.98025 0.51009 1.86093 -0.94538 -1.63980 1.32894 0.00000 2.00000 -0.23391 0.68893 -1.10626 1.46306 -1.73981 1.92137 -1.99780 1.96493 -1.82454 1.58432 -1.25743 0.86173 -0.41888 -0.04689 0.51009 -0.94538 1.32894 -1.63980 1.86093 -1.98025 1.99121 -1.89323 1.69166 -1.39754 1.02695 -0.60017 0.14055 0.32675 -0.77618 1.18314 -1.52537 1.78414 -1.94529 0.00000 ... ... ..... ....... ......... ........... ............. E18" 2.00000 -0.23391 -1.94529 0.68893 1.78414 -1.10626 -1.52537 1.46306 1.18314 -1.73981 -0.77618 1.92137 0.32675 -1.99780 0.14055 1.96493 -0.60017 -1.82454 1.02695 1.58432 -1.39754 -1.25743 1.69166 0.86173 -1.89323 -0.41888 1.99121 -0.04689 -1.98025 0.51009 1.86093 -0.94538 -1.63980 1.32894 0.00000 -2.00000 0.23391 -0.68893 1.10626 -1.46306 1.73981 -1.92137 1.99780 -1.96493 1.82454 -1.58432 1.25743 -0.86173 0.41888 0.04689 -0.51009 0.94538 -1.32894 1.63980 -1.86093 1.98025 -1.99121 1.89323 -1.69166 1.39754 -1.02695 0.60017 -0.14055 -0.32675 0.77618 -1.18314 1.52537 -1.78414 1.94529 0.00000 ... ... ..... ....... ......... ........... ............. E19' 2.00000 -0.41888 -1.82454 1.18314 1.32894 -1.73981 -0.60017 1.99121 -0.23391 -1.89323 1.02695 1.46306 -1.63980 -0.77618 1.96493 -0.04689 -1.94529 0.86173 1.58432 -1.52537 -0.94538 1.92137 0.14055 -1.98025 0.68893 1.69166 -1.39754 -1.10626 1.86093 0.32675 -1.99780 0.51009 1.78414 -1.25743 0.00000 2.00000 -0.41888 1.18314 -1.73981 1.99121 -1.89323 1.46306 -0.77618 -0.04689 0.86173 -1.52537 1.92137 -1.98025 1.69166 -1.10626 0.32675 0.51009 -1.25743 1.78414 -1.99780 1.86093 -1.39754 0.68893 0.14055 -0.94538 1.58432 -1.94529 1.96493 -1.63980 1.02695 -0.23391 -0.60017 1.32894 -1.82454 0.00000 ... ... ..... ....... ......... ........... ............. E19" 2.00000 -0.41888 -1.82454 1.18314 1.32894 -1.73981 -0.60017 1.99121 -0.23391 -1.89323 1.02695 1.46306 -1.63980 -0.77618 1.96493 -0.04689 -1.94529 0.86173 1.58432 -1.52537 -0.94538 1.92137 0.14055 -1.98025 0.68893 1.69166 -1.39754 -1.10626 1.86093 0.32675 -1.99780 0.51009 1.78414 -1.25743 0.00000 -2.00000 0.41888 -1.18314 1.73981 -1.99121 1.89323 -1.46306 0.77618 0.04689 -0.86173 1.52537 -1.92137 1.98025 -1.69166 1.10626 -0.32675 -0.51009 1.25743 -1.78414 1.99780 -1.86093 1.39754 -0.68893 -0.14055 0.94538 -1.58432 1.94529 -1.96493 1.63980 -1.02695 0.23391 0.60017 -1.32894 1.82454 0.00000 ... ... ..... ....... ......... ........... ............. E20' 2.00000 -0.60017 -1.63980 1.58432 0.68893 -1.99780 0.51009 1.69166 -1.52537 -0.77618 1.99121 -0.41888 -1.73981 1.46306 0.86173 -1.98025 0.32675 1.78414 -1.39754 -0.94538 1.96493 -0.23391 -1.82454 1.32894 1.02695 -1.94529 0.14055 1.86093 -1.25743 -1.10626 1.92137 -0.04689 -1.89323 1.18314 0.00000 2.00000 -0.60017 1.58432 -1.99780 1.69166 -0.77618 -0.41888 1.46306 -1.98025 1.78414 -0.94538 -0.23391 1.32894 -1.94529 1.86093 -1.10626 -0.04689 1.18314 -1.89323 1.92137 -1.25743 0.14055 1.02695 -1.82454 1.96493 -1.39754 0.32675 0.86173 -1.73981 1.99121 -1.52537 0.51009 0.68893 -1.63980 0.00000 ... ... ..... ....... ......... ........... ............. E20" 2.00000 -0.60017 -1.63980 1.58432 0.68893 -1.99780 0.51009 1.69166 -1.52537 -0.77618 1.99121 -0.41888 -1.73981 1.46306 0.86173 -1.98025 0.32675 1.78414 -1.39754 -0.94538 1.96493 -0.23391 -1.82454 1.32894 1.02695 -1.94529 0.14055 1.86093 -1.25743 -1.10626 1.92137 -0.04689 -1.89323 1.18314 0.00000 -2.00000 0.60017 -1.58432 1.99780 -1.69166 0.77618 0.41888 -1.46306 1.98025 -1.78414 0.94538 0.23391 -1.32894 1.94529 -1.86093 1.10626 0.04689 -1.18314 1.89323 -1.92137 1.25743 -0.14055 -1.02695 1.82454 -1.96493 1.39754 -0.32675 -0.86173 1.73981 -1.99121 1.52537 -0.51009 -0.68893 1.63980 0.00000 ... ... ..... ....... ......... ........... ............. E21' 2.00000 -0.77618 -1.39754 1.86093 -0.04689 -1.82454 1.46306 0.68893 -1.99780 0.86173 1.32894 -1.89323 0.14055 1.78414 -1.52537 -0.60017 1.99121 -0.94538 -1.25743 1.92137 -0.23391 -1.73981 1.58432 0.51009 -1.98025 1.02695 1.18314 -1.94529 0.32675 1.69166 -1.63980 -0.41888 1.96493 -1.10626 0.00000 2.00000 -0.77618 1.86093 -1.82454 0.68893 0.86173 -1.89323 1.78414 -0.60017 -0.94538 1.92137 -1.73981 0.51009 1.02695 -1.94529 1.69166 -0.41888 -1.10626 1.96493 -1.63980 0.32675 1.18314 -1.98025 1.58432 -0.23391 -1.25743 1.99121 -1.52537 0.14055 1.32894 -1.99780 1.46306 -0.04689 -1.39754 0.00000 ... ... ..... ....... ......... ........... ............. E21" 2.00000 -0.77618 -1.39754 1.86093 -0.04689 -1.82454 1.46306 0.68893 -1.99780 0.86173 1.32894 -1.89323 0.14055 1.78414 -1.52537 -0.60017 1.99121 -0.94538 -1.25743 1.92137 -0.23391 -1.73981 1.58432 0.51009 -1.98025 1.02695 1.18314 -1.94529 0.32675 1.69166 -1.63980 -0.41888 1.96493 -1.10626 0.00000 -2.00000 0.77618 -1.86093 1.82454 -0.68893 -0.86173 1.89323 -1.78414 0.60017 0.94538 -1.92137 1.73981 -0.51009 -1.02695 1.94529 -1.69166 0.41888 1.10626 -1.96493 1.63980 -0.32675 -1.18314 1.98025 -1.58432 0.23391 1.25743 -1.99121 1.52537 -0.14055 -1.32894 1.99780 -1.46306 0.04689 1.39754 0.00000 ... ... ..... ....... ......... ........... ............. E22' 2.00000 -0.94538 -1.10626 1.99121 -0.77618 -1.25743 1.96493 -0.60017 -1.39754 1.92137 -0.41888 -1.52537 1.86093 -0.23391 -1.63980 1.78414 -0.04689 -1.73981 1.69166 0.14055 -1.82454 1.58432 0.32675 -1.89323 1.46306 0.51009 -1.94529 1.32894 0.68893 -1.98025 1.18314 0.86173 -1.99780 1.02695 0.00000 2.00000 -0.94538 1.99121 -1.25743 -0.60017 1.92137 -1.52537 -0.23391 1.78414 -1.73981 0.14055 1.58432 -1.89323 0.51009 1.32894 -1.98025 0.86173 1.02695 -1.99780 1.18314 0.68893 -1.94529 1.46306 0.32675 -1.82454 1.69166 -0.04689 -1.63980 1.86093 -0.41888 -1.39754 1.96493 -0.77618 -1.10626 0.00000 ... ... ..... ....... ......... ........... ............. E22" 2.00000 -0.94538 -1.10626 1.99121 -0.77618 -1.25743 1.96493 -0.60017 -1.39754 1.92137 -0.41888 -1.52537 1.86093 -0.23391 -1.63980 1.78414 -0.04689 -1.73981 1.69166 0.14055 -1.82454 1.58432 0.32675 -1.89323 1.46306 0.51009 -1.94529 1.32894 0.68893 -1.98025 1.18314 0.86173 -1.99780 1.02695 0.00000 -2.00000 0.94538 -1.99121 1.25743 0.60017 -1.92137 1.52537 0.23391 -1.78414 1.73981 -0.14055 -1.58432 1.89323 -0.51009 -1.32894 1.98025 -0.86173 -1.02695 1.99780 -1.18314 -0.68893 1.94529 -1.46306 -0.32675 1.82454 -1.69166 0.04689 1.63980 -1.86093 0.41888 1.39754 -1.96493 0.77618 1.10626 0.00000 ... ... ..... ....... ......... ........... ............. E23' 2.00000 -1.10626 -0.77618 1.96493 -1.39754 -0.41888 1.86093 -1.63980 -0.04689 1.69166 -1.82454 0.32675 1.46306 -1.94529 0.68893 1.18314 -1.99780 1.02695 0.86173 -1.98025 1.32894 0.51009 -1.89323 1.58432 0.14055 -1.73981 1.78414 -0.23391 -1.52537 1.92137 -0.60017 -1.25743 1.99121 -0.94538 0.00000 2.00000 -1.10626 1.96493 -0.41888 -1.63980 1.69166 0.32675 -1.94529 1.18314 1.02695 -1.98025 0.51009 1.58432 -1.73981 -0.23391 1.92137 -1.25743 -0.94538 1.99121 -0.60017 -1.52537 1.78414 0.14055 -1.89323 1.32894 0.86173 -1.99780 0.68893 1.46306 -1.82454 -0.04689 1.86093 -1.39754 -0.77618 0.00000 ... ... ..... ....... ......... ........... ............. E23" 2.00000 -1.10626 -0.77618 1.96493 -1.39754 -0.41888 1.86093 -1.63980 -0.04689 1.69166 -1.82454 0.32675 1.46306 -1.94529 0.68893 1.18314 -1.99780 1.02695 0.86173 -1.98025 1.32894 0.51009 -1.89323 1.58432 0.14055 -1.73981 1.78414 -0.23391 -1.52537 1.92137 -0.60017 -1.25743 1.99121 -0.94538 0.00000 -2.00000 1.10626 -1.96493 0.41888 1.63980 -1.69166 -0.32675 1.94529 -1.18314 -1.02695 1.98025 -0.51009 -1.58432 1.73981 0.23391 -1.92137 1.25743 0.94538 -1.99121 0.60017 1.52537 -1.78414 -0.14055 1.89323 -1.32894 -0.86173 1.99780 -0.68893 -1.46306 1.82454 0.04689 -1.86093 1.39754 0.77618 0.00000 ... ... ..... ....... ......... ........... ............. E24' 2.00000 -1.25743 -0.41888 1.78414 -1.82454 0.51009 1.18314 -1.99780 1.32894 0.32675 -1.73981 1.86093 -0.60017 -1.10626 1.99121 -1.39754 -0.23391 1.69166 -1.89323 0.68893 1.02695 -1.98025 1.46306 0.14055 -1.63980 1.92137 -0.77618 -0.94538 1.96493 -1.52537 -0.04689 1.58432 -1.94529 0.86173 0.00000 2.00000 -1.25743 1.78414 0.51009 -1.99780 0.32675 1.86093 -1.10626 -1.39754 1.69166 0.68893 -1.98025 0.14055 1.92137 -0.94538 -1.52537 1.58432 0.86173 -1.94529 -0.04689 1.96493 -0.77618 -1.63980 1.46306 1.02695 -1.89323 -0.23391 1.99121 -0.60017 -1.73981 1.32894 1.18314 -1.82454 -0.41888 0.00000 ... ... ..... ....... ......... ........... ............. E24" 2.00000 -1.25743 -0.41888 1.78414 -1.82454 0.51009 1.18314 -1.99780 1.32894 0.32675 -1.73981 1.86093 -0.60017 -1.10626 1.99121 -1.39754 -0.23391 1.69166 -1.89323 0.68893 1.02695 -1.98025 1.46306 0.14055 -1.63980 1.92137 -0.77618 -0.94538 1.96493 -1.52537 -0.04689 1.58432 -1.94529 0.86173 0.00000 -2.00000 1.25743 -1.78414 -0.51009 1.99780 -0.32675 -1.86093 1.10626 1.39754 -1.69166 -0.68893 1.98025 -0.14055 -1.92137 0.94538 1.52537 -1.58432 -0.86173 1.94529 0.04689 -1.96493 0.77618 1.63980 -1.46306 -1.02695 1.89323 0.23391 -1.99121 0.60017 1.73981 -1.32894 -1.18314 1.82454 0.41888 0.00000 ... ... ..... ....... ......... ........... ............. E25' 2.00000 -1.39754 -0.04689 1.46306 -1.99780 1.32894 0.14055 -1.52537 1.99121 -1.25743 -0.23391 1.58432 -1.98025 1.18314 0.32675 -1.63980 1.96493 -1.10626 -0.41888 1.69166 -1.94529 1.02695 0.51009 -1.73981 1.92137 -0.94538 -0.60017 1.78414 -1.89323 0.86173 0.68893 -1.82454 1.86093 -0.77618 0.00000 2.00000 -1.39754 1.46306 1.32894 -1.52537 -1.25743 1.58432 1.18314 -1.63980 -1.10626 1.69166 1.02695 -1.73981 -0.94538 1.78414 0.86173 -1.82454 -0.77618 1.86093 0.68893 -1.89323 -0.60017 1.92137 0.51009 -1.94529 -0.41888 1.96493 0.32675 -1.98025 -0.23391 1.99121 0.14055 -1.99780 -0.04689 0.00000 ... ... ..... ....... ......... ........... ............. E25" 2.00000 -1.39754 -0.04689 1.46306 -1.99780 1.32894 0.14055 -1.52537 1.99121 -1.25743 -0.23391 1.58432 -1.98025 1.18314 0.32675 -1.63980 1.96493 -1.10626 -0.41888 1.69166 -1.94529 1.02695 0.51009 -1.73981 1.92137 -0.94538 -0.60017 1.78414 -1.89323 0.86173 0.68893 -1.82454 1.86093 -0.77618 0.00000 -2.00000 1.39754 -1.46306 -1.32894 1.52537 1.25743 -1.58432 -1.18314 1.63980 1.10626 -1.69166 -1.02695 1.73981 0.94538 -1.78414 -0.86173 1.82454 0.77618 -1.86093 -0.68893 1.89323 0.60017 -1.92137 -0.51009 1.94529 0.41888 -1.96493 -0.32675 1.98025 0.23391 -1.99121 -0.14055 1.99780 0.04689 0.00000 ... ... ..... ....... ......... ........... ............. E26' 2.00000 -1.52537 0.32675 1.02695 -1.89323 1.86093 -0.94538 -0.41888 1.58432 -1.99780 1.46306 -0.23391 -1.10626 1.92137 -1.82454 0.86173 0.51009 -1.63980 1.99121 -1.39754 0.14055 1.18314 -1.94529 1.78414 -0.77618 -0.60017 1.69166 -1.98025 1.32894 -0.04689 -1.25743 1.96493 -1.73981 0.68893 0.00000 2.00000 -1.52537 1.02695 1.86093 -0.41888 -1.99780 -0.23391 1.92137 0.86173 -1.63980 -1.39754 1.18314 1.78414 -0.60017 -1.98025 -0.04689 1.96493 0.68893 -1.73981 -1.25743 1.32894 1.69166 -0.77618 -1.94529 0.14055 1.99121 0.51009 -1.82454 -1.10626 1.46306 1.58432 -0.94538 -1.89323 0.32675 0.00000 ... ... ..... ....... ......... ........... ............. E26" 2.00000 -1.52537 0.32675 1.02695 -1.89323 1.86093 -0.94538 -0.41888 1.58432 -1.99780 1.46306 -0.23391 -1.10626 1.92137 -1.82454 0.86173 0.51009 -1.63980 1.99121 -1.39754 0.14055 1.18314 -1.94529 1.78414 -0.77618 -0.60017 1.69166 -1.98025 1.32894 -0.04689 -1.25743 1.96493 -1.73981 0.68893 0.00000 -2.00000 1.52537 -1.02695 -1.86093 0.41888 1.99780 0.23391 -1.92137 -0.86173 1.63980 1.39754 -1.18314 -1.78414 0.60017 1.98025 0.04689 -1.96493 -0.68893 1.73981 1.25743 -1.32894 -1.69166 0.77618 1.94529 -0.14055 -1.99121 -0.51009 1.82454 1.10626 -1.46306 -1.58432 0.94538 1.89323 -0.32675 0.00000 ... ... ..... ....... ......... ........... ............. E27' 2.00000 -1.63980 0.68893 0.51009 -1.52537 1.99121 -1.73981 0.86173 0.32675 -1.39754 1.96493 -1.82454 1.02695 0.14055 -1.25743 1.92137 -1.89323 1.18314 -0.04689 -1.10626 1.86093 -1.94529 1.32894 -0.23391 -0.94538 1.78414 -1.98025 1.46306 -0.41888 -0.77618 1.69166 -1.99780 1.58432 -0.60017 0.00000 2.00000 -1.63980 0.51009 1.99121 0.86173 -1.39754 -1.82454 0.14055 1.92137 1.18314 -1.10626 -1.94529 -0.23391 1.78414 1.46306 -0.77618 -1.99780 -0.60017 1.58432 1.69166 -0.41888 -1.98025 -0.94538 1.32894 1.86093 -0.04689 -1.89323 -1.25743 1.02695 1.96493 0.32675 -1.73981 -1.52537 0.68893 0.00000 ... ... ..... ....... ......... ........... ............. E27" 2.00000 -1.63980 0.68893 0.51009 -1.52537 1.99121 -1.73981 0.86173 0.32675 -1.39754 1.96493 -1.82454 1.02695 0.14055 -1.25743 1.92137 -1.89323 1.18314 -0.04689 -1.10626 1.86093 -1.94529 1.32894 -0.23391 -0.94538 1.78414 -1.98025 1.46306 -0.41888 -0.77618 1.69166 -1.99780 1.58432 -0.60017 0.00000 -2.00000 1.63980 -0.51009 -1.99121 -0.86173 1.39754 1.82454 -0.14055 -1.92137 -1.18314 1.10626 1.94529 0.23391 -1.78414 -1.46306 0.77618 1.99780 0.60017 -1.58432 -1.69166 0.41888 1.98025 0.94538 -1.32894 -1.86093 0.04689 1.89323 1.25743 -1.02695 -1.96493 -0.32675 1.73981 1.52537 -0.68893 0.00000 ... ... ..... ....... ......... ........... ............. E28' 2.00000 -1.73981 1.02695 -0.04689 -0.94538 1.69166 -1.99780 1.78414 -1.10626 0.14055 0.86173 -1.63980 1.99121 -1.82454 1.18314 -0.23391 -0.77618 1.58432 -1.98025 1.86093 -1.25743 0.32675 0.68893 -1.52537 1.96493 -1.89323 1.32894 -0.41888 -0.60017 1.46306 -1.94529 1.92137 -1.39754 0.51009 0.00000 2.00000 -1.73981 -0.04689 1.69166 1.78414 0.14055 -1.63980 -1.82454 -0.23391 1.58432 1.86093 0.32675 -1.52537 -1.89323 -0.41888 1.46306 1.92137 0.51009 -1.39754 -1.94529 -0.60017 1.32894 1.96493 0.68893 -1.25743 -1.98025 -0.77618 1.18314 1.99121 0.86173 -1.10626 -1.99780 -0.94538 1.02695 0.00000 ... ... ..... ....... ......... ........... ............. E28" 2.00000 -1.73981 1.02695 -0.04689 -0.94538 1.69166 -1.99780 1.78414 -1.10626 0.14055 0.86173 -1.63980 1.99121 -1.82454 1.18314 -0.23391 -0.77618 1.58432 -1.98025 1.86093 -1.25743 0.32675 0.68893 -1.52537 1.96493 -1.89323 1.32894 -0.41888 -0.60017 1.46306 -1.94529 1.92137 -1.39754 0.51009 0.00000 -2.00000 1.73981 0.04689 -1.69166 -1.78414 -0.14055 1.63980 1.82454 0.23391 -1.58432 -1.86093 -0.32675 1.52537 1.89323 0.41888 -1.46306 -1.92137 -0.51009 1.39754 1.94529 0.60017 -1.32894 -1.96493 -0.68893 1.25743 1.98025 0.77618 -1.18314 -1.99121 -0.86173 1.10626 1.99780 0.94538 -1.02695 0.00000 ... ... ..... ....... ......... ........... ............. E29' 2.00000 -1.82454 1.32894 -0.60017 -0.23391 1.02695 -1.63980 1.96493 -1.94529 1.58432 -0.94538 0.14055 0.68893 -1.39754 1.86093 -1.99780 1.78414 -1.25743 0.51009 0.32675 -1.10626 1.69166 -1.98025 1.92137 -1.52537 0.86173 -0.04689 -0.77618 1.46306 -1.89323 1.99121 -1.73981 1.18314 -0.41888 0.00000 2.00000 -1.82454 -0.60017 1.02695 1.96493 1.58432 0.14055 -1.39754 -1.99780 -1.25743 0.32675 1.69166 1.92137 0.86173 -0.77618 -1.89323 -1.73981 -0.41888 1.18314 1.99121 1.46306 -0.04689 -1.52537 -1.98025 -1.10626 0.51009 1.78414 1.86093 0.68893 -0.94538 -1.94529 -1.63980 -0.23391 1.32894 0.00000 ... ... ..... ....... ......... ........... ............. E29" 2.00000 -1.82454 1.32894 -0.60017 -0.23391 1.02695 -1.63980 1.96493 -1.94529 1.58432 -0.94538 0.14055 0.68893 -1.39754 1.86093 -1.99780 1.78414 -1.25743 0.51009 0.32675 -1.10626 1.69166 -1.98025 1.92137 -1.52537 0.86173 -0.04689 -0.77618 1.46306 -1.89323 1.99121 -1.73981 1.18314 -0.41888 0.00000 -2.00000 1.82454 0.60017 -1.02695 -1.96493 -1.58432 -0.14055 1.39754 1.99780 1.25743 -0.32675 -1.69166 -1.92137 -0.86173 0.77618 1.89323 1.73981 0.41888 -1.18314 -1.99121 -1.46306 0.04689 1.52537 1.98025 1.10626 -0.51009 -1.78414 -1.86093 -0.68893 0.94538 1.94529 1.63980 0.23391 -1.32894 0.00000 ... ... ..... ....... ......... ........... ............. E30' 2.00000 -1.89323 1.58432 -1.10626 0.51009 0.14055 -0.77618 1.32894 -1.73981 1.96493 -1.98025 1.78414 -1.39754 0.86173 -0.23391 -0.41888 1.02695 -1.52537 1.86093 -1.99780 1.92137 -1.63980 1.18314 -0.60017 -0.04689 0.68893 -1.25743 1.69166 -1.94529 1.99121 -1.82454 1.46306 -0.94538 0.32675 0.00000 2.00000 -1.89323 -1.10626 0.14055 1.32894 1.96493 1.78414 0.86173 -0.41888 -1.52537 -1.99780 -1.63980 -0.60017 0.68893 1.69166 1.99121 1.46306 0.32675 -0.94538 -1.82454 -1.94529 -1.25743 -0.04689 1.18314 1.92137 1.86093 1.02695 -0.23391 -1.39754 -1.98025 -1.73981 -0.77618 0.51009 1.58432 0.00000 ... ... ..... ....... ......... ........... ............. E30" 2.00000 -1.89323 1.58432 -1.10626 0.51009 0.14055 -0.77618 1.32894 -1.73981 1.96493 -1.98025 1.78414 -1.39754 0.86173 -0.23391 -0.41888 1.02695 -1.52537 1.86093 -1.99780 1.92137 -1.63980 1.18314 -0.60017 -0.04689 0.68893 -1.25743 1.69166 -1.94529 1.99121 -1.82454 1.46306 -0.94538 0.32675 0.00000 -2.00000 1.89323 1.10626 -0.14055 -1.32894 -1.96493 -1.78414 -0.86173 0.41888 1.52537 1.99780 1.63980 0.60017 -0.68893 -1.69166 -1.99121 -1.46306 -0.32675 0.94538 1.82454 1.94529 1.25743 0.04689 -1.18314 -1.92137 -1.86093 -1.02695 0.23391 1.39754 1.98025 1.73981 0.77618 -0.51009 -1.58432 0.00000 ... ... ..... ....... ......... ........... ............. E31' 2.00000 -1.94529 1.78414 -1.52537 1.18314 -0.77618 0.32675 0.14055 -0.60017 1.02695 -1.39754 1.69166 -1.89323 1.99121 -1.98025 1.86093 -1.63980 1.32894 -0.94538 0.51009 -0.04689 -0.41888 0.86173 -1.25743 1.58432 -1.82454 1.96493 -1.99780 1.92137 -1.73981 1.46306 -1.10626 0.68893 -0.23391 0.00000 2.00000 -1.94529 -1.52537 -0.77618 0.14055 1.02695 1.69166 1.99121 1.86093 1.32894 0.51009 -0.41888 -1.25743 -1.82454 -1.99780 -1.73981 -1.10626 -0.23391 0.68893 1.46306 1.92137 1.96493 1.58432 0.86173 -0.04689 -0.94538 -1.63980 -1.98025 -1.89323 -1.39754 -0.60017 0.32675 1.18314 1.78414 0.00000 ... ... ..... ....... ......... ........... ............. E31" 2.00000 -1.94529 1.78414 -1.52537 1.18314 -0.77618 0.32675 0.14055 -0.60017 1.02695 -1.39754 1.69166 -1.89323 1.99121 -1.98025 1.86093 -1.63980 1.32894 -0.94538 0.51009 -0.04689 -0.41888 0.86173 -1.25743 1.58432 -1.82454 1.96493 -1.99780 1.92137 -1.73981 1.46306 -1.10626 0.68893 -0.23391 0.00000 -2.00000 1.94529 1.52537 0.77618 -0.14055 -1.02695 -1.69166 -1.99121 -1.86093 -1.32894 -0.51009 0.41888 1.25743 1.82454 1.99780 1.73981 1.10626 0.23391 -0.68893 -1.46306 -1.92137 -1.96493 -1.58432 -0.86173 0.04689 0.94538 1.63980 1.98025 1.89323 1.39754 0.60017 -0.32675 -1.18314 -1.78414 0.00000 ... ... ..... ....... ......... ........... ............. E32' 2.00000 -1.98025 1.92137 -1.82454 1.69166 -1.52537 1.32894 -1.10626 0.86173 -0.60017 0.32675 -0.04689 -0.23391 0.51009 -0.77618 1.02695 -1.25743 1.46306 -1.63980 1.78414 -1.89323 1.96493 -1.99780 1.99121 -1.94529 1.86093 -1.73981 1.58432 -1.39754 1.18314 -0.94538 0.68893 -0.41888 0.14055 0.00000 2.00000 -1.98025 -1.82454 -1.52537 -1.10626 -0.60017 -0.04689 0.51009 1.02695 1.46306 1.78414 1.96493 1.99121 1.86093 1.58432 1.18314 0.68893 0.14055 -0.41888 -0.94538 -1.39754 -1.73981 -1.94529 -1.99780 -1.89323 -1.63980 -1.25743 -0.77618 -0.23391 0.32675 0.86173 1.32894 1.69166 1.92137 0.00000 ... ... ..... ....... ......... ........... ............. E32" 2.00000 -1.98025 1.92137 -1.82454 1.69166 -1.52537 1.32894 -1.10626 0.86173 -0.60017 0.32675 -0.04689 -0.23391 0.51009 -0.77618 1.02695 -1.25743 1.46306 -1.63980 1.78414 -1.89323 1.96493 -1.99780 1.99121 -1.94529 1.86093 -1.73981 1.58432 -1.39754 1.18314 -0.94538 0.68893 -0.41888 0.14055 0.00000 -2.00000 1.98025 1.82454 1.52537 1.10626 0.60017 0.04689 -0.51009 -1.02695 -1.46306 -1.78414 -1.96493 -1.99121 -1.86093 -1.58432 -1.18314 -0.68893 -0.14055 0.41888 0.94538 1.39754 1.73981 1.94529 1.99780 1.89323 1.63980 1.25743 0.77618 0.23391 -0.32675 -0.86173 -1.32894 -1.69166 -1.92137 0.00000 ... ... ..... ....... ......... ........... ............. E33' 2.00000 -1.99780 1.99121 -1.98025 1.96493 -1.94529 1.92137 -1.89323 1.86093 -1.82454 1.78414 -1.73981 1.69166 -1.63980 1.58432 -1.52537 1.46306 -1.39754 1.32894 -1.25743 1.18314 -1.10626 1.02695 -0.94538 0.86173 -0.77618 0.68893 -0.60017 0.51009 -0.41888 0.32675 -0.23391 0.14055 -0.04689 0.00000 2.00000 -1.99780 -1.98025 -1.94529 -1.89323 -1.82454 -1.73981 -1.63980 -1.52537 -1.39754 -1.25743 -1.10626 -0.94538 -0.77618 -0.60017 -0.41888 -0.23391 -0.04689 0.14055 0.32675 0.51009 0.68893 0.86173 1.02695 1.18314 1.32894 1.46306 1.58432 1.69166 1.78414 1.86093 1.92137 1.96493 1.99121 0.00000 ... ... ..... ....... ......... ........... ............. E33" 2.00000 -1.99780 1.99121 -1.98025 1.96493 -1.94529 1.92137 -1.89323 1.86093 -1.82454 1.78414 -1.73981 1.69166 -1.63980 1.58432 -1.52537 1.46306 -1.39754 1.32894 -1.25743 1.18314 -1.10626 1.02695 -0.94538 0.86173 -0.77618 0.68893 -0.60017 0.51009 -0.41888 0.32675 -0.23391 0.14055 -0.04689 0.00000 -2.00000 1.99780 1.98025 1.94529 1.89323 1.82454 1.73981 1.63980 1.52537 1.39754 1.25743 1.10626 0.94538 0.77618 0.60017 0.41888 0.23391 0.04689 -0.14055 -0.32675 -0.51009 -0.68893 -0.86173 -1.02695 -1.18314 -1.32894 -1.46306 -1.58432 -1.69166 -1.78414 -1.86093 -1.92137 -1.96493 -1.99121 0.00000 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.997801782971 = 2*cos(2*π/134) = 2*cos(π/67) 1.991211964044 = 2*cos(4*π/134) = 2*cos(2*π/67) 1.980245029069 = 2*cos(6*π/134) = 2*cos(3*π/67) 1.964925085751 = 2*cos(8*π/134) = 2*cos(4*π/67) 1.945285810650 = 2*cos(10*π/134) = 2*cos(5*π/67) 1.921370375154 = 2*cos(12*π/134) = 2*cos(6*π/67) 1.893231350581 = 2*cos(14*π/134) = 2*cos(7*π/67) 1.860930592614 = 2*cos(16*π/134) = 2*cos(8*π/67) 1.824539105330 = 2*cos(18*π/134) = 2*cos(9*π/67) 1.784136885115 = 2*cos(20*π/134) = 2*cos(10*π/67) 1.739812744818 = 2*cos(22*π/134) = 2*cos(11*π/67) 1.691664118518 = 2*cos(24*π/134) = 2*cos(12*π/67) 1.639796847347 = 2*cos(26*π/134) = 2*cos(13*π/67) 1.584324946822 = 2*cos(28*π/134) = 2*cos(14*π/67) 1.525370356221 = 2*cos(30*π/134) = 2*cos(15*π/67) 1.463062670527 = 2*cos(32*π/134) = 2*cos(16*π/67) 1.397538855558 = 2*cos(34*π/134) = 2*cos(17*π/67) 1.328942946878 = 2*cos(36*π/134) = 2*cos(18*π/67) 1.257425733182 = 2*cos(38*π/134) = 2*cos(19*π/67) 1.183144424827 = 2*cos(40*π/134) = 2*cos(20*π/67) 1.106262308250 = 2*cos(42*π/134) = 2*cos(21*π/67) 1.026948387030 = 2*cos(44*π/134) = 2*cos(22*π/67) 0.945377010377 = 2*cos(46*π/134) = 2*cos(23*π/67) 0.861727489882 = 2*cos(48*π/134) = 2*cos(24*π/67) 0.776183705344 = 2*cos(50*π/134) = 2*cos(25*π/67) 0.688933700569 = 2*cos(52*π/134) = 2*cos(26*π/67) 0.600169270001 = 2*cos(54*π/134) = 2*cos(27*π/67) 0.510085537123 = 2*cos(56*π/134) = 2*cos(28*π/67) 0.418880525532 = 2*cos(58*π/134) = 2*cos(29*π/67) 0.326754723637 = 2*cos(60*π/134) = 2*cos(30*π/67) 0.233910643944 = 2*cos(62*π/134) = 2*cos(31*π/67) 0.140552377891 = 2*cos(64*π/134) = 2*cos(32*π/67) 0.046885147207 = 2*cos(66*π/134) = 2*cos(33*π/67) Symmetry of Rotations and Cartesian products A1' d+g+i+k+m z², z⁴, z⁶ A2' R R_z A2" p+f+h+j+l z, z³, z⁵ E1' p+f+h+j+l {x, y}, {xz², yz²}, {xz⁴, yz⁴} E1" R+d+g+i+k+m {R_x, R_y}, {xz, yz}, {xz³, yz³}, {xz⁵, yz⁵} E2' d+g+i+k+m {x²−y², xy}, {z²(x²−y²), xyz²}, {z⁴(x²−y²), xyz⁴} E2" f+h+j+l {z(x²−y²), xyz}, {z³(x²−y²), xyz³} E3' f+h+j+l {x(x²−3y²), y(3x²−y²)}, {xz²(x²−3y²), yz²(3x²−y²)} E3" g+i+k+m {xz(x²−3y²), yz(3x²−y²)}, {xz³(x²−3y²), yz³(3x²−y²)} E4' g+i+k+m {(x²−y²)²−4x²y², xy(x²−y²)}, {z²((x²−y²)²−4x²y²), xyz²(x²−y²)} E4" h+j+l {z((x²−y²)²−4x²y²), xyz(x²−y²)} E5' h+j+l {x(x²−(5+2√5)y²)(x²−(5−2√5)y²), y((5+2√5)x²−y²)((5−2√5)x²−y²)} E5" i+k+m {xz(x²−(5+2√5)y²)(x²−(5−2√5)y²), yz((5+2√5)x²−y²)((5−2√5)x²−y²)} E6' i+k+m {x²(x²−3y²)²−y²(3x²−y²)², xy(x²−3y²)(3x²−y²)} E6" j+l E7' j+l E7" k+m E8' k+m E8" l E9' l E9" m E10' m Notes: α The order of the D_67h point group is 268, and the order of the principal axis (S₆₇) is 134. The group has 70 irreducible representations. β The D_67h point group is isomorphic to D_67d, C_134v and D₁₃₄. γ The D_67h point group is generated by two symmetry elements, S₆₇ and either a perpendicular C₂^′ or a vertical σ_v. Also, the group may be generated from any two σ_v planes, or any σ_v and a non-coplanar C₂^′. The canonical choice, however, is to use redundant generators: C₆₇, C₂^′ and σ_h. δ The group contains one set of C₂^′ symmetry axes perpendicular to the principal (z) axis. The x axis (but not the y axis) is a member of that set. Similarly, the single set of symmetry planes denoted σ_d contains the xz plane but not the yz plane. ε The lowest nonvanishing multipole moment in D_67h is 4 (quadrupole moment). ζ This point group is non-Abelian (some symmetry operations are not commutative). Therefore, the character table contains multi-membered classes and degenerate irreducible representations. η 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.

This Character Table for the D_67h point group was created by Gernot Katzer.

For other groups and some explanations, see the Main Page.

	D_65h
	D_66h
C₆₇ C_67v C_67h D₆₇	D_67h	D_67d
	D_68h
	D_69h

Character table for the D67h point group

Character table for the D_67h point group