Character Table for Point Group D71d

Character table for the D_71d point group

D71d E 2 C71 2 C71^2 2 C71^3 2 C71^4 2 C71^5 2 C71^6 2 C71^7 2 C71^8 2 C71^9 2 C71^10 2 C71^11 2 C71^12 2 C71^13 2 C71^14 2 C71^15 2 C71^16 2 C71^17 2 C71^18 2 C71^19 2 C71^20 2 C71^21 2 C71^22 2 C71^23 2 C71^24 2 C71^25 2 C71^26 2 C71^27 2 C71^28 2 C71^29 2 C71^30 2 C71^31 2 C71^32 2 C71^33 2 C71^34 2 C71^35 71 C2' i 2 S142 2 S142^3 2 S142^5 2 S142^7 2 S142^9 2 S142^11 2 S142^13 2 S142^15 2 S142^17 2 S142^19 2 S142^21 2 S142^23 2 S142^25 2 S142^27 2 S142^29 2 S142^31 2 S142^33 2 S142^35 2 S142^37 2 S142^39 2 S142^41 2 S142^43 2 S142^45 2 S142^47 2 S142^49 2 S142^51 2 S142^53 2 S142^55 2 S142^57 2 S142^59 2 S142^61 2 S142^63 2 S142^65 2 S142^67 2 S142^69 71 sd <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> A1g 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 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 A2g 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 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 ... ..... ....... ......... ........... ............. E1g 2.00000 1.99217 1.96876 1.92993 1.87600 1.80739 1.72463 1.62837 1.51937 1.39848 1.26665 1.12490 0.97435 0.81617 0.65160 0.48194 0.30850 0.13265 -0.04424 -0.22079 -0.39560 -0.56732 -0.73460 -0.89613 -1.05065 -1.19694 -1.33387 -1.46036 -1.57542 -1.67814 -1.76774 -1.84350 -1.90483 -1.95125 -1.98241 -1.99804 0.00000 2.00000 -1.99804 -1.98241 -1.95125 -1.90483 -1.84350 -1.76774 -1.67814 -1.57542 -1.46036 -1.33387 -1.19694 -1.05065 -0.89613 -0.73460 -0.56732 -0.39560 -0.22079 -0.04424 0.13265 0.30850 0.48194 0.65160 0.81617 0.97435 1.12490 1.26665 1.39848 1.51937 1.62837 1.72463 1.80739 1.87600 1.92993 1.96876 1.99217 0.00000 TT. ... ..TT. ....... ......TT. ........... ..........TT. E2g 2.00000 1.96876 1.87600 1.72463 1.51937 1.26665 0.97435 0.65160 0.30850 -0.04424 -0.39560 -0.73460 -1.05065 -1.33387 -1.57542 -1.76774 -1.90483 -1.98241 -1.99804 -1.95125 -1.84350 -1.67814 -1.46036 -1.19694 -0.89613 -0.56732 -0.22079 0.13265 0.48194 0.81617 1.12490 1.39848 1.62837 1.80739 1.92993 1.99217 0.00000 2.00000 1.99217 1.92993 1.80739 1.62837 1.39848 1.12490 0.81617 0.48194 0.13265 -0.22079 -0.56732 -0.89613 -1.19694 -1.46036 -1.67814 -1.84350 -1.95125 -1.99804 -1.98241 -1.90483 -1.76774 -1.57542 -1.33387 -1.05065 -0.73460 -0.39560 -0.04424 0.30850 0.65160 0.97435 1.26665 1.51937 1.72463 1.87600 1.96876 0.00000 ... ... TT... ....... ....TT... ........... ........TT... E3g 2.00000 1.92993 1.72463 1.39848 0.97435 0.48194 -0.04424 -0.56732 -1.05065 -1.46036 -1.76774 -1.95125 -1.99804 -1.90483 -1.67814 -1.33387 -0.89613 -0.39560 0.13265 0.65160 1.12490 1.51937 1.80739 1.96876 1.99217 1.87600 1.62837 1.26665 0.81617 0.30850 -0.22079 -0.73460 -1.19694 -1.57542 -1.84350 -1.98241 0.00000 2.00000 -1.98241 -1.84350 -1.57542 -1.19694 -0.73460 -0.22079 0.30850 0.81617 1.26665 1.62837 1.87600 1.99217 1.96876 1.80739 1.51937 1.12490 0.65160 0.13265 -0.39560 -0.89613 -1.33387 -1.67814 -1.90483 -1.99804 -1.95125 -1.76774 -1.46036 -1.05065 -0.56732 -0.04424 0.48194 0.97435 1.39848 1.72463 1.92993 0.00000 ... ... ..... ....... ..TT..... ........... ......TT..... E4g 2.00000 1.87600 1.51937 0.97435 0.30850 -0.39560 -1.05065 -1.57542 -1.90483 -1.99804 -1.84350 -1.46036 -0.89613 -0.22079 0.48194 1.12490 1.62837 1.92993 1.99217 1.80739 1.39848 0.81617 0.13265 -0.56732 -1.19694 -1.67814 -1.95125 -1.98241 -1.76774 -1.33387 -0.73460 -0.04424 0.65160 1.26665 1.72463 1.96876 0.00000 2.00000 1.96876 1.72463 1.26665 0.65160 -0.04424 -0.73460 -1.33387 -1.76774 -1.98241 -1.95125 -1.67814 -1.19694 -0.56732 0.13265 0.81617 1.39848 1.80739 1.99217 1.92993 1.62837 1.12490 0.48194 -0.22079 -0.89613 -1.46036 -1.84350 -1.99804 -1.90483 -1.57542 -1.05065 -0.39560 0.30850 0.97435 1.51937 1.87600 0.00000 ... ... ..... ....... TT....... ........... ....TT....... E5g 2.00000 1.80739 1.26665 0.48194 -0.39560 -1.19694 -1.76774 -1.99804 -1.84350 -1.33387 -0.56732 0.30850 1.12490 1.72463 1.99217 1.87600 1.39848 0.65160 -0.22079 -1.05065 -1.67814 -1.98241 -1.90483 -1.46036 -0.73460 0.13265 0.97435 1.62837 1.96876 1.92993 1.51937 0.81617 -0.04424 -0.89613 -1.57542 -1.95125 0.00000 2.00000 -1.95125 -1.57542 -0.89613 -0.04424 0.81617 1.51937 1.92993 1.96876 1.62837 0.97435 0.13265 -0.73460 -1.46036 -1.90483 -1.98241 -1.67814 -1.05065 -0.22079 0.65160 1.39848 1.87600 1.99217 1.72463 1.12490 0.30850 -0.56732 -1.33387 -1.84350 -1.99804 -1.76774 -1.19694 -0.39560 0.48194 1.26665 1.80739 0.00000 ... ... ..... ....... ......... ........... ..TT......... E6g 2.00000 1.72463 0.97435 -0.04424 -1.05065 -1.76774 -1.99804 -1.67814 -0.89613 0.13265 1.12490 1.80739 1.99217 1.62837 0.81617 -0.22079 -1.19694 -1.84350 -1.98241 -1.57542 -0.73460 0.30850 1.26665 1.87600 1.96876 1.51937 0.65160 -0.39560 -1.33387 -1.90483 -1.95125 -1.46036 -0.56732 0.48194 1.39848 1.92993 0.00000 2.00000 1.92993 1.39848 0.48194 -0.56732 -1.46036 -1.95125 -1.90483 -1.33387 -0.39560 0.65160 1.51937 1.96876 1.87600 1.26665 0.30850 -0.73460 -1.57542 -1.98241 -1.84350 -1.19694 -0.22079 0.81617 1.62837 1.99217 1.80739 1.12490 0.13265 -0.89613 -1.67814 -1.99804 -1.76774 -1.05065 -0.04424 0.97435 1.72463 0.00000 ... ... ..... ....... ......... ........... TT........... E7g 2.00000 1.62837 0.65160 -0.56732 -1.57542 -1.99804 -1.67814 -0.73460 0.48194 1.51937 1.99217 1.72463 0.81617 -0.39560 -1.46036 -1.98241 -1.76774 -0.89613 0.30850 1.39848 1.96876 1.80739 0.97435 -0.22079 -1.33387 -1.95125 -1.84350 -1.05065 0.13265 1.26665 1.92993 1.87600 1.12490 -0.04424 -1.19694 -1.90483 0.00000 2.00000 -1.90483 -1.19694 -0.04424 1.12490 1.87600 1.92993 1.26665 0.13265 -1.05065 -1.84350 -1.95125 -1.33387 -0.22079 0.97435 1.80739 1.96876 1.39848 0.30850 -0.89613 -1.76774 -1.98241 -1.46036 -0.39560 0.81617 1.72463 1.99217 1.51937 0.48194 -0.73460 -1.67814 -1.99804 -1.57542 -0.56732 0.65160 1.62837 0.00000 ... ... ..... ....... ......... ........... ............. E8g 2.00000 1.51937 0.30850 -1.05065 -1.90483 -1.84350 -0.89613 0.48194 1.62837 1.99217 1.39848 0.13265 -1.19694 -1.95125 -1.76774 -0.73460 0.65160 1.72463 1.96876 1.26665 -0.04424 -1.33387 -1.98241 -1.67814 -0.56732 0.81617 1.80739 1.92993 1.12490 -0.22079 -1.46036 -1.99804 -1.57542 -0.39560 0.97435 1.87600 0.00000 2.00000 1.87600 0.97435 -0.39560 -1.57542 -1.99804 -1.46036 -0.22079 1.12490 1.92993 1.80739 0.81617 -0.56732 -1.67814 -1.98241 -1.33387 -0.04424 1.26665 1.96876 1.72463 0.65160 -0.73460 -1.76774 -1.95125 -1.19694 0.13265 1.39848 1.99217 1.62837 0.48194 -0.89613 -1.84350 -1.90483 -1.05065 0.30850 1.51937 0.00000 ... ... ..... ....... ......... ........... ............. E9g 2.00000 1.39848 -0.04424 -1.46036 -1.99804 -1.33387 0.13265 1.51937 1.99217 1.26665 -0.22079 -1.57542 -1.98241 -1.19694 0.30850 1.62837 1.96876 1.12490 -0.39560 -1.67814 -1.95125 -1.05065 0.48194 1.72463 1.92993 0.97435 -0.56732 -1.76774 -1.90483 -0.89613 0.65160 1.80739 1.87600 0.81617 -0.73460 -1.84350 0.00000 2.00000 -1.84350 -0.73460 0.81617 1.87600 1.80739 0.65160 -0.89613 -1.90483 -1.76774 -0.56732 0.97435 1.92993 1.72463 0.48194 -1.05065 -1.95125 -1.67814 -0.39560 1.12490 1.96876 1.62837 0.30850 -1.19694 -1.98241 -1.57542 -0.22079 1.26665 1.99217 1.51937 0.13265 -1.33387 -1.99804 -1.46036 -0.04424 1.39848 0.00000 ... ... ..... ....... ......... ........... ............. E10g 2.00000 1.26665 -0.39560 -1.76774 -1.84350 -0.56732 1.12490 1.99217 1.39848 -0.22079 -1.67814 -1.90483 -0.73460 0.97435 1.96876 1.51937 -0.04424 -1.57542 -1.95125 -0.89613 0.81617 1.92993 1.62837 0.13265 -1.46036 -1.98241 -1.05065 0.65160 1.87600 1.72463 0.30850 -1.33387 -1.99804 -1.19694 0.48194 1.80739 0.00000 2.00000 1.80739 0.48194 -1.19694 -1.99804 -1.33387 0.30850 1.72463 1.87600 0.65160 -1.05065 -1.98241 -1.46036 0.13265 1.62837 1.92993 0.81617 -0.89613 -1.95125 -1.57542 -0.04424 1.51937 1.96876 0.97435 -0.73460 -1.90483 -1.67814 -0.22079 1.39848 1.99217 1.12490 -0.56732 -1.84350 -1.76774 -0.39560 1.26665 0.00000 ... ... ..... ....... ......... ........... ............. E11g 2.00000 1.12490 -0.73460 -1.95125 -1.46036 0.30850 1.80739 1.72463 0.13265 -1.57542 -1.90483 -0.56732 1.26665 1.99217 0.97435 -0.89613 -1.98241 -1.33387 0.48194 1.87600 1.62837 -0.04424 -1.67814 -1.84350 -0.39560 1.39848 1.96876 0.81617 -1.05065 -1.99804 -1.19694 0.65160 1.92993 1.51937 -0.22079 -1.76774 0.00000 2.00000 -1.76774 -0.22079 1.51937 1.92993 0.65160 -1.19694 -1.99804 -1.05065 0.81617 1.96876 1.39848 -0.39560 -1.84350 -1.67814 -0.04424 1.62837 1.87600 0.48194 -1.33387 -1.98241 -0.89613 0.97435 1.99217 1.26665 -0.56732 -1.90483 -1.57542 0.13265 1.72463 1.80739 0.30850 -1.46036 -1.95125 -0.73460 1.12490 0.00000 ... ... ..... ....... ......... ........... ............. E12g 2.00000 0.97435 -1.05065 -1.99804 -0.89613 1.12490 1.99217 0.81617 -1.19694 -1.98241 -0.73460 1.26665 1.96876 0.65160 -1.33387 -1.95125 -0.56732 1.39848 1.92993 0.48194 -1.46036 -1.90483 -0.39560 1.51937 1.87600 0.30850 -1.57542 -1.84350 -0.22079 1.62837 1.80739 0.13265 -1.67814 -1.76774 -0.04424 1.72463 0.00000 2.00000 1.72463 -0.04424 -1.76774 -1.67814 0.13265 1.80739 1.62837 -0.22079 -1.84350 -1.57542 0.30850 1.87600 1.51937 -0.39560 -1.90483 -1.46036 0.48194 1.92993 1.39848 -0.56732 -1.95125 -1.33387 0.65160 1.96876 1.26665 -0.73460 -1.98241 -1.19694 0.81617 1.99217 1.12490 -0.89613 -1.99804 -1.05065 0.97435 0.00000 ... ... ..... ....... ......... ........... ............. E13g 2.00000 0.81617 -1.33387 -1.90483 -0.22079 1.72463 1.62837 -0.39560 -1.95125 -1.19694 0.97435 1.99217 0.65160 -1.46036 -1.84350 -0.04424 1.80739 1.51937 -0.56732 -1.98241 -1.05065 1.12490 1.96876 0.48194 -1.57542 -1.76774 0.13265 1.87600 1.39848 -0.73460 -1.99804 -0.89613 1.26665 1.92993 0.30850 -1.67814 0.00000 2.00000 -1.67814 0.30850 1.92993 1.26665 -0.89613 -1.99804 -0.73460 1.39848 1.87600 0.13265 -1.76774 -1.57542 0.48194 1.96876 1.12490 -1.05065 -1.98241 -0.56732 1.51937 1.80739 -0.04424 -1.84350 -1.46036 0.65160 1.99217 0.97435 -1.19694 -1.95125 -0.39560 1.62837 1.72463 -0.22079 -1.90483 -1.33387 0.81617 0.00000 ... ... ..... ....... ......... ........... ............. E14g 2.00000 0.65160 -1.57542 -1.67814 0.48194 1.99217 0.81617 -1.46036 -1.76774 0.30850 1.96876 0.97435 -1.33387 -1.84350 0.13265 1.92993 1.12490 -1.19694 -1.90483 -0.04424 1.87600 1.26665 -1.05065 -1.95125 -0.22079 1.80739 1.39848 -0.89613 -1.98241 -0.39560 1.72463 1.51937 -0.73460 -1.99804 -0.56732 1.62837 0.00000 2.00000 1.62837 -0.56732 -1.99804 -0.73460 1.51937 1.72463 -0.39560 -1.98241 -0.89613 1.39848 1.80739 -0.22079 -1.95125 -1.05065 1.26665 1.87600 -0.04424 -1.90483 -1.19694 1.12490 1.92993 0.13265 -1.84350 -1.33387 0.97435 1.96876 0.30850 -1.76774 -1.46036 0.81617 1.99217 0.48194 -1.67814 -1.57542 0.65160 0.00000 ... ... ..... ....... ......... ........... ............. E15g 2.00000 0.48194 -1.76774 -1.33387 1.12490 1.87600 -0.22079 -1.98241 -0.73460 1.62837 1.51937 -0.89613 -1.95125 -0.04424 1.92993 0.97435 -1.46036 -1.67814 0.65160 1.99217 0.30850 -1.84350 -1.19694 1.26665 1.80739 -0.39560 -1.99804 -0.56732 1.72463 1.39848 -1.05065 -1.90483 0.13265 1.96876 0.81617 -1.57542 0.00000 2.00000 -1.57542 0.81617 1.96876 0.13265 -1.90483 -1.05065 1.39848 1.72463 -0.56732 -1.99804 -0.39560 1.80739 1.26665 -1.19694 -1.84350 0.30850 1.99217 0.65160 -1.67814 -1.46036 0.97435 1.92993 -0.04424 -1.95125 -0.89613 1.51937 1.62837 -0.73460 -1.98241 -0.22079 1.87600 1.12490 -1.33387 -1.76774 0.48194 0.00000 ... ... ..... ....... ......... ........... ............. E16g 2.00000 0.30850 -1.90483 -0.89613 1.62837 1.39848 -1.19694 -1.76774 0.65160 1.96876 -0.04424 -1.98241 -0.56732 1.80739 1.12490 -1.46036 -1.57542 0.97435 1.87600 -0.39560 -1.99804 -0.22079 1.92993 0.81617 -1.67814 -1.33387 1.26665 1.72463 -0.73460 -1.95125 0.13265 1.99217 0.48194 -1.84350 -1.05065 1.51937 0.00000 2.00000 1.51937 -1.05065 -1.84350 0.48194 1.99217 0.13265 -1.95125 -0.73460 1.72463 1.26665 -1.33387 -1.67814 0.81617 1.92993 -0.22079 -1.99804 -0.39560 1.87600 0.97435 -1.57542 -1.46036 1.12490 1.80739 -0.56732 -1.98241 -0.04424 1.96876 0.65160 -1.76774 -1.19694 1.39848 1.62837 -0.89613 -1.90483 0.30850 0.00000 ... ... ..... ....... ......... ........... ............. E17g 2.00000 0.13265 -1.98241 -0.39560 1.92993 0.65160 -1.84350 -0.89613 1.72463 1.12490 -1.57542 -1.33387 1.39848 1.51937 -1.19694 -1.67814 0.97435 1.80739 -0.73460 -1.90483 0.48194 1.96876 -0.22079 -1.99804 -0.04424 1.99217 0.30850 -1.95125 -0.56732 1.87600 0.81617 -1.76774 -1.05065 1.62837 1.26665 -1.46036 0.00000 2.00000 -1.46036 1.26665 1.62837 -1.05065 -1.76774 0.81617 1.87600 -0.56732 -1.95125 0.30850 1.99217 -0.04424 -1.99804 -0.22079 1.96876 0.48194 -1.90483 -0.73460 1.80739 0.97435 -1.67814 -1.19694 1.51937 1.39848 -1.33387 -1.57542 1.12490 1.72463 -0.89613 -1.84350 0.65160 1.92993 -0.39560 -1.98241 0.13265 0.00000 ... ... ..... ....... ......... ........... ............. E18g 2.00000 -0.04424 -1.99804 0.13265 1.99217 -0.22079 -1.98241 0.30850 1.96876 -0.39560 -1.95125 0.48194 1.92993 -0.56732 -1.90483 0.65160 1.87600 -0.73460 -1.84350 0.81617 1.80739 -0.89613 -1.76774 0.97435 1.72463 -1.05065 -1.67814 1.12490 1.62837 -1.19694 -1.57542 1.26665 1.51937 -1.33387 -1.46036 1.39848 0.00000 2.00000 1.39848 -1.46036 -1.33387 1.51937 1.26665 -1.57542 -1.19694 1.62837 1.12490 -1.67814 -1.05065 1.72463 0.97435 -1.76774 -0.89613 1.80739 0.81617 -1.84350 -0.73460 1.87600 0.65160 -1.90483 -0.56732 1.92993 0.48194 -1.95125 -0.39560 1.96876 0.30850 -1.98241 -0.22079 1.99217 0.13265 -1.99804 -0.04424 0.00000 ... ... ..... ....... ......... ........... ............. E19g 2.00000 -0.22079 -1.95125 0.65160 1.80739 -1.05065 -1.57542 1.39848 1.26665 -1.67814 -0.89613 1.87600 0.48194 -1.98241 -0.04424 1.99217 -0.39560 -1.90483 0.81617 1.72463 -1.19694 -1.46036 1.51937 1.12490 -1.76774 -0.73460 1.92993 0.30850 -1.99804 0.13265 1.96876 -0.56732 -1.84350 0.97435 1.62837 -1.33387 0.00000 2.00000 -1.33387 1.62837 0.97435 -1.84350 -0.56732 1.96876 0.13265 -1.99804 0.30850 1.92993 -0.73460 -1.76774 1.12490 1.51937 -1.46036 -1.19694 1.72463 0.81617 -1.90483 -0.39560 1.99217 -0.04424 -1.98241 0.48194 1.87600 -0.89613 -1.67814 1.26665 1.39848 -1.57542 -1.05065 1.80739 0.65160 -1.95125 -0.22079 0.00000 ... ... ..... ....... ......... ........... ............. E20g 2.00000 -0.39560 -1.84350 1.12490 1.39848 -1.67814 -0.73460 1.96876 -0.04424 -1.95125 0.81617 1.62837 -1.46036 -1.05065 1.87600 0.30850 -1.99804 0.48194 1.80739 -1.19694 -1.33387 1.72463 0.65160 -1.98241 0.13265 1.92993 -0.89613 -1.57542 1.51937 0.97435 -1.90483 -0.22079 1.99217 -0.56732 -1.76774 1.26665 0.00000 2.00000 1.26665 -1.76774 -0.56732 1.99217 -0.22079 -1.90483 0.97435 1.51937 -1.57542 -0.89613 1.92993 0.13265 -1.98241 0.65160 1.72463 -1.33387 -1.19694 1.80739 0.48194 -1.99804 0.30850 1.87600 -1.05065 -1.46036 1.62837 0.81617 -1.95125 -0.04424 1.96876 -0.73460 -1.67814 1.39848 1.12490 -1.84350 -0.39560 0.00000 ... ... ..... ....... ......... ........... ............. E21g 2.00000 -0.56732 -1.67814 1.51937 0.81617 -1.98241 0.30850 1.80739 -1.33387 -1.05065 1.92993 -0.04424 -1.90483 1.12490 1.26665 -1.84350 -0.22079 1.96876 -0.89613 -1.46036 1.72463 0.48194 -1.99804 0.65160 1.62837 -1.57542 -0.73460 1.99217 -0.39560 -1.76774 1.39848 0.97435 -1.95125 0.13265 1.87600 -1.19694 0.00000 2.00000 -1.19694 1.87600 0.13265 -1.95125 0.97435 1.39848 -1.76774 -0.39560 1.99217 -0.73460 -1.57542 1.62837 0.65160 -1.99804 0.48194 1.72463 -1.46036 -0.89613 1.96876 -0.22079 -1.84350 1.26665 1.12490 -1.90483 -0.04424 1.92993 -1.05065 -1.33387 1.80739 0.30850 -1.98241 0.81617 1.51937 -1.67814 -0.56732 0.00000 ... ... ..... ....... ......... ........... ............. E22g 2.00000 -0.73460 -1.46036 1.80739 0.13265 -1.90483 1.26665 0.97435 -1.98241 0.48194 1.62837 -1.67814 -0.39560 1.96876 -1.05065 -1.19694 1.92993 -0.22079 -1.76774 1.51937 0.65160 -1.99804 0.81617 1.39848 -1.84350 -0.04424 1.87600 -1.33387 -0.89613 1.99217 -0.56732 -1.57542 1.72463 0.30850 -1.95125 1.12490 0.00000 2.00000 1.12490 -1.95125 0.30850 1.72463 -1.57542 -0.56732 1.99217 -0.89613 -1.33387 1.87600 -0.04424 -1.84350 1.39848 0.81617 -1.99804 0.65160 1.51937 -1.76774 -0.22079 1.92993 -1.19694 -1.05065 1.96876 -0.39560 -1.67814 1.62837 0.48194 -1.98241 0.97435 1.26665 -1.90483 0.13265 1.80739 -1.46036 -0.73460 0.00000 ... ... ..... ....... ......... ........... ............. E23g 2.00000 -0.89613 -1.19694 1.96876 -0.56732 -1.46036 1.87600 -0.22079 -1.67814 1.72463 0.13265 -1.84350 1.51937 0.48194 -1.95125 1.26665 0.81617 -1.99804 0.97435 1.12490 -1.98241 0.65160 1.39848 -1.90483 0.30850 1.62837 -1.76774 -0.04424 1.80739 -1.57542 -0.39560 1.92993 -1.33387 -0.73460 1.99217 -1.05065 0.00000 2.00000 -1.05065 1.99217 -0.73460 -1.33387 1.92993 -0.39560 -1.57542 1.80739 -0.04424 -1.76774 1.62837 0.30850 -1.90483 1.39848 0.65160 -1.98241 1.12490 0.97435 -1.99804 0.81617 1.26665 -1.95125 0.48194 1.51937 -1.84350 0.13265 1.72463 -1.67814 -0.22079 1.87600 -1.46036 -0.56732 1.96876 -1.19694 -0.89613 0.00000 ... ... ..... ....... ......... ........... ............. E24g 2.00000 -1.05065 -0.89613 1.99217 -1.19694 -0.73460 1.96876 -1.33387 -0.56732 1.92993 -1.46036 -0.39560 1.87600 -1.57542 -0.22079 1.80739 -1.67814 -0.04424 1.72463 -1.76774 0.13265 1.62837 -1.84350 0.30850 1.51937 -1.90483 0.48194 1.39848 -1.95125 0.65160 1.26665 -1.98241 0.81617 1.12490 -1.99804 0.97435 0.00000 2.00000 0.97435 -1.99804 1.12490 0.81617 -1.98241 1.26665 0.65160 -1.95125 1.39848 0.48194 -1.90483 1.51937 0.30850 -1.84350 1.62837 0.13265 -1.76774 1.72463 -0.04424 -1.67814 1.80739 -0.22079 -1.57542 1.87600 -0.39560 -1.46036 1.92993 -0.56732 -1.33387 1.96876 -0.73460 -1.19694 1.99217 -0.89613 -1.05065 0.00000 ... ... ..... ....... ......... ........... ............. E25g 2.00000 -1.19694 -0.56732 1.87600 -1.67814 0.13265 1.51937 -1.95125 0.81617 0.97435 -1.98241 1.39848 0.30850 -1.76774 1.80739 -0.39560 -1.33387 1.99217 -1.05065 -0.73460 1.92993 -1.57542 -0.04424 1.62837 -1.90483 0.65160 1.12490 -1.99804 1.26665 0.48194 -1.84350 1.72463 -0.22079 -1.46036 1.96876 -0.89613 0.00000 2.00000 -0.89613 1.96876 -1.46036 -0.22079 1.72463 -1.84350 0.48194 1.26665 -1.99804 1.12490 0.65160 -1.90483 1.62837 -0.04424 -1.57542 1.92993 -0.73460 -1.05065 1.99217 -1.33387 -0.39560 1.80739 -1.76774 0.30850 1.39848 -1.98241 0.97435 0.81617 -1.95125 1.51937 0.13265 -1.67814 1.87600 -0.56732 -1.19694 0.00000 ... ... ..... ....... ......... ........... ............. E26g 2.00000 -1.33387 -0.22079 1.62837 -1.95125 0.97435 0.65160 -1.84350 1.80739 -0.56732 -1.05065 1.96876 -1.57542 0.13265 1.39848 -1.99804 1.26665 0.30850 -1.67814 1.92993 -0.89613 -0.73460 1.87600 -1.76774 0.48194 1.12490 -1.98241 1.51937 -0.04424 -1.46036 1.99217 -1.19694 -0.39560 1.72463 -1.90483 0.81617 0.00000 2.00000 0.81617 -1.90483 1.72463 -0.39560 -1.19694 1.99217 -1.46036 -0.04424 1.51937 -1.98241 1.12490 0.48194 -1.76774 1.87600 -0.73460 -0.89613 1.92993 -1.67814 0.30850 1.26665 -1.99804 1.39848 0.13265 -1.57542 1.96876 -1.05065 -0.56732 1.80739 -1.84350 0.65160 0.97435 -1.95125 1.62837 -0.22079 -1.33387 0.00000 ... ... ..... ....... ......... ........... ............. E27g 2.00000 -1.46036 0.13265 1.26665 -1.98241 1.62837 -0.39560 -1.05065 1.92993 -1.76774 0.65160 0.81617 -1.84350 1.87600 -0.89613 -0.56732 1.72463 -1.95125 1.12490 0.30850 -1.57542 1.99217 -1.33387 -0.04424 1.39848 -1.99804 1.51937 -0.22079 -1.19694 1.96876 -1.67814 0.48194 0.97435 -1.90483 1.80739 -0.73460 0.00000 2.00000 -0.73460 1.80739 -1.90483 0.97435 0.48194 -1.67814 1.96876 -1.19694 -0.22079 1.51937 -1.99804 1.39848 -0.04424 -1.33387 1.99217 -1.57542 0.30850 1.12490 -1.95125 1.72463 -0.56732 -0.89613 1.87600 -1.84350 0.81617 0.65160 -1.76774 1.92993 -1.05065 -0.39560 1.62837 -1.98241 1.26665 0.13265 -1.46036 0.00000 ... ... ..... ....... ......... ........... ............. E28g 2.00000 -1.57542 0.48194 0.81617 -1.76774 1.96876 -1.33387 0.13265 1.12490 -1.90483 1.87600 -1.05065 -0.22079 1.39848 -1.98241 1.72463 -0.73460 -0.56732 1.62837 -1.99804 1.51937 -0.39560 -0.89613 1.80739 -1.95125 1.26665 -0.04424 -1.19694 1.92993 -1.84350 0.97435 0.30850 -1.46036 1.99217 -1.67814 0.65160 0.00000 2.00000 0.65160 -1.67814 1.99217 -1.46036 0.30850 0.97435 -1.84350 1.92993 -1.19694 -0.04424 1.26665 -1.95125 1.80739 -0.89613 -0.39560 1.51937 -1.99804 1.62837 -0.56732 -0.73460 1.72463 -1.98241 1.39848 -0.22079 -1.05065 1.87600 -1.90483 1.12490 0.13265 -1.33387 1.96876 -1.76774 0.81617 0.48194 -1.57542 0.00000 ... ... ..... ....... ......... ........... ............. E29g 2.00000 -1.67814 0.81617 0.30850 -1.33387 1.92993 -1.90483 1.26665 -0.22079 -0.89613 1.72463 -1.99804 1.62837 -0.73460 -0.39560 1.39848 -1.95125 1.87600 -1.19694 0.13265 0.97435 -1.76774 1.99217 -1.57542 0.65160 0.48194 -1.46036 1.96876 -1.84350 1.12490 -0.04424 -1.05065 1.80739 -1.98241 1.51937 -0.56732 0.00000 2.00000 -0.56732 1.51937 -1.98241 1.80739 -1.05065 -0.04424 1.12490 -1.84350 1.96876 -1.46036 0.48194 0.65160 -1.57542 1.99217 -1.76774 0.97435 0.13265 -1.19694 1.87600 -1.95125 1.39848 -0.39560 -0.73460 1.62837 -1.99804 1.72463 -0.89613 -0.22079 1.26665 -1.90483 1.92993 -1.33387 0.30850 0.81617 -1.67814 0.00000 ... ... ..... ....... ......... ........... ............. E30g 2.00000 -1.76774 1.12490 -0.22079 -0.73460 1.51937 -1.95125 1.92993 -1.46036 0.65160 0.30850 -1.19694 1.80739 -1.99804 1.72463 -1.05065 0.13265 0.81617 -1.57542 1.96876 -1.90483 1.39848 -0.56732 -0.39560 1.26665 -1.84350 1.99217 -1.67814 0.97435 -0.04424 -0.89613 1.62837 -1.98241 1.87600 -1.33387 0.48194 0.00000 2.00000 0.48194 -1.33387 1.87600 -1.98241 1.62837 -0.89613 -0.04424 0.97435 -1.67814 1.99217 -1.84350 1.26665 -0.39560 -0.56732 1.39848 -1.90483 1.96876 -1.57542 0.81617 0.13265 -1.05065 1.72463 -1.99804 1.80739 -1.19694 0.30850 0.65160 -1.46036 1.92993 -1.95125 1.51937 -0.73460 -0.22079 1.12490 -1.76774 0.00000 ... ... ..... ....... ......... ........... ............. E31g 2.00000 -1.84350 1.39848 -0.73460 -0.04424 0.81617 -1.46036 1.87600 -1.99804 1.80739 -1.33387 0.65160 0.13265 -0.89613 1.51937 -1.90483 1.99217 -1.76774 1.26665 -0.56732 -0.22079 0.97435 -1.57542 1.92993 -1.98241 1.72463 -1.19694 0.48194 0.30850 -1.05065 1.62837 -1.95125 1.96876 -1.67814 1.12490 -0.39560 0.00000 2.00000 -0.39560 1.12490 -1.67814 1.96876 -1.95125 1.62837 -1.05065 0.30850 0.48194 -1.19694 1.72463 -1.98241 1.92993 -1.57542 0.97435 -0.22079 -0.56732 1.26665 -1.76774 1.99217 -1.90483 1.51937 -0.89613 0.13265 0.65160 -1.33387 1.80739 -1.99804 1.87600 -1.46036 0.81617 -0.04424 -0.73460 1.39848 -1.84350 0.00000 ... ... ..... ....... ......... ........... ............. E32g 2.00000 -1.90483 1.62837 -1.19694 0.65160 -0.04424 -0.56732 1.12490 -1.57542 1.87600 -1.99804 1.92993 -1.67814 1.26665 -0.73460 0.13265 0.48194 -1.05065 1.51937 -1.84350 1.99217 -1.95125 1.72463 -1.33387 0.81617 -0.22079 -0.39560 0.97435 -1.46036 1.80739 -1.98241 1.96876 -1.76774 1.39848 -0.89613 0.30850 0.00000 2.00000 0.30850 -0.89613 1.39848 -1.76774 1.96876 -1.98241 1.80739 -1.46036 0.97435 -0.39560 -0.22079 0.81617 -1.33387 1.72463 -1.95125 1.99217 -1.84350 1.51937 -1.05065 0.48194 0.13265 -0.73460 1.26665 -1.67814 1.92993 -1.99804 1.87600 -1.57542 1.12490 -0.56732 -0.04424 0.65160 -1.19694 1.62837 -1.90483 0.00000 ... ... ..... ....... ......... ........... ............. E33g 2.00000 -1.95125 1.80739 -1.57542 1.26665 -0.89613 0.48194 -0.04424 -0.39560 0.81617 -1.19694 1.51937 -1.76774 1.92993 -1.99804 1.96876 -1.84350 1.62837 -1.33387 0.97435 -0.56732 0.13265 0.30850 -0.73460 1.12490 -1.46036 1.72463 -1.90483 1.99217 -1.98241 1.87600 -1.67814 1.39848 -1.05065 0.65160 -0.22079 0.00000 2.00000 -0.22079 0.65160 -1.05065 1.39848 -1.67814 1.87600 -1.98241 1.99217 -1.90483 1.72463 -1.46036 1.12490 -0.73460 0.30850 0.13265 -0.56732 0.97435 -1.33387 1.62837 -1.84350 1.96876 -1.99804 1.92993 -1.76774 1.51937 -1.19694 0.81617 -0.39560 -0.04424 0.48194 -0.89613 1.26665 -1.57542 1.80739 -1.95125 0.00000 ... ... ..... ....... ......... ........... ............. E34g 2.00000 -1.98241 1.92993 -1.84350 1.72463 -1.57542 1.39848 -1.19694 0.97435 -0.73460 0.48194 -0.22079 -0.04424 0.30850 -0.56732 0.81617 -1.05065 1.26665 -1.46036 1.62837 -1.76774 1.87600 -1.95125 1.99217 -1.99804 1.96876 -1.90483 1.80739 -1.67814 1.51937 -1.33387 1.12490 -0.89613 0.65160 -0.39560 0.13265 0.00000 2.00000 0.13265 -0.39560 0.65160 -0.89613 1.12490 -1.33387 1.51937 -1.67814 1.80739 -1.90483 1.96876 -1.99804 1.99217 -1.95125 1.87600 -1.76774 1.62837 -1.46036 1.26665 -1.05065 0.81617 -0.56732 0.30850 -0.04424 -0.22079 0.48194 -0.73460 0.97435 -1.19694 1.39848 -1.57542 1.72463 -1.84350 1.92993 -1.98241 0.00000 ... ... ..... ....... ......... ........... ............. E35g 2.00000 -1.99804 1.99217 -1.98241 1.96876 -1.95125 1.92993 -1.90483 1.87600 -1.84350 1.80739 -1.76774 1.72463 -1.67814 1.62837 -1.57542 1.51937 -1.46036 1.39848 -1.33387 1.26665 -1.19694 1.12490 -1.05065 0.97435 -0.89613 0.81617 -0.73460 0.65160 -0.56732 0.48194 -0.39560 0.30850 -0.22079 0.13265 -0.04424 0.00000 2.00000 -0.04424 0.13265 -0.22079 0.30850 -0.39560 0.48194 -0.56732 0.65160 -0.73460 0.81617 -0.89613 0.97435 -1.05065 1.12490 -1.19694 1.26665 -1.33387 1.39848 -1.46036 1.51937 -1.57542 1.62837 -1.67814 1.72463 -1.76774 1.80739 -1.84350 1.87600 -1.90483 1.92993 -1.95125 1.96876 -1.98241 1.99217 -1.99804 0.00000 ... ... ..... ....... ......... ........... ............. A1u 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 ... ... ..... ....... ......... ........... ............. A2u 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -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 ............. E1u 2.00000 1.99217 1.96876 1.92993 1.87600 1.80739 1.72463 1.62837 1.51937 1.39848 1.26665 1.12490 0.97435 0.81617 0.65160 0.48194 0.30850 0.13265 -0.04424 -0.22079 -0.39560 -0.56732 -0.73460 -0.89613 -1.05065 -1.19694 -1.33387 -1.46036 -1.57542 -1.67814 -1.76774 -1.84350 -1.90483 -1.95125 -1.98241 -1.99804 0.00000 -2.00000 1.99804 1.98241 1.95125 1.90483 1.84350 1.76774 1.67814 1.57542 1.46036 1.33387 1.19694 1.05065 0.89613 0.73460 0.56732 0.39560 0.22079 0.04424 -0.13265 -0.30850 -0.48194 -0.65160 -0.81617 -0.97435 -1.12490 -1.26665 -1.39848 -1.51937 -1.62837 -1.72463 -1.80739 -1.87600 -1.92993 -1.96876 -1.99217 0.00000 ... TT. ..... ....TT. ......... ........TT. ............. E2u 2.00000 1.96876 1.87600 1.72463 1.51937 1.26665 0.97435 0.65160 0.30850 -0.04424 -0.39560 -0.73460 -1.05065 -1.33387 -1.57542 -1.76774 -1.90483 -1.98241 -1.99804 -1.95125 -1.84350 -1.67814 -1.46036 -1.19694 -0.89613 -0.56732 -0.22079 0.13265 0.48194 0.81617 1.12490 1.39848 1.62837 1.80739 1.92993 1.99217 0.00000 -2.00000 -1.99217 -1.92993 -1.80739 -1.62837 -1.39848 -1.12490 -0.81617 -0.48194 -0.13265 0.22079 0.56732 0.89613 1.19694 1.46036 1.67814 1.84350 1.95125 1.99804 1.98241 1.90483 1.76774 1.57542 1.33387 1.05065 0.73460 0.39560 0.04424 -0.30850 -0.65160 -0.97435 -1.26665 -1.51937 -1.72463 -1.87600 -1.96876 0.00000 ... ... ..... ..TT... ......... ......TT... ............. E3u 2.00000 1.92993 1.72463 1.39848 0.97435 0.48194 -0.04424 -0.56732 -1.05065 -1.46036 -1.76774 -1.95125 -1.99804 -1.90483 -1.67814 -1.33387 -0.89613 -0.39560 0.13265 0.65160 1.12490 1.51937 1.80739 1.96876 1.99217 1.87600 1.62837 1.26665 0.81617 0.30850 -0.22079 -0.73460 -1.19694 -1.57542 -1.84350 -1.98241 0.00000 -2.00000 1.98241 1.84350 1.57542 1.19694 0.73460 0.22079 -0.30850 -0.81617 -1.26665 -1.62837 -1.87600 -1.99217 -1.96876 -1.80739 -1.51937 -1.12490 -0.65160 -0.13265 0.39560 0.89613 1.33387 1.67814 1.90483 1.99804 1.95125 1.76774 1.46036 1.05065 0.56732 0.04424 -0.48194 -0.97435 -1.39848 -1.72463 -1.92993 0.00000 ... ... ..... TT..... ......... ....TT..... ............. E4u 2.00000 1.87600 1.51937 0.97435 0.30850 -0.39560 -1.05065 -1.57542 -1.90483 -1.99804 -1.84350 -1.46036 -0.89613 -0.22079 0.48194 1.12490 1.62837 1.92993 1.99217 1.80739 1.39848 0.81617 0.13265 -0.56732 -1.19694 -1.67814 -1.95125 -1.98241 -1.76774 -1.33387 -0.73460 -0.04424 0.65160 1.26665 1.72463 1.96876 0.00000 -2.00000 -1.96876 -1.72463 -1.26665 -0.65160 0.04424 0.73460 1.33387 1.76774 1.98241 1.95125 1.67814 1.19694 0.56732 -0.13265 -0.81617 -1.39848 -1.80739 -1.99217 -1.92993 -1.62837 -1.12490 -0.48194 0.22079 0.89613 1.46036 1.84350 1.99804 1.90483 1.57542 1.05065 0.39560 -0.30850 -0.97435 -1.51937 -1.87600 0.00000 ... ... ..... ....... ......... ..TT....... ............. E5u 2.00000 1.80739 1.26665 0.48194 -0.39560 -1.19694 -1.76774 -1.99804 -1.84350 -1.33387 -0.56732 0.30850 1.12490 1.72463 1.99217 1.87600 1.39848 0.65160 -0.22079 -1.05065 -1.67814 -1.98241 -1.90483 -1.46036 -0.73460 0.13265 0.97435 1.62837 1.96876 1.92993 1.51937 0.81617 -0.04424 -0.89613 -1.57542 -1.95125 0.00000 -2.00000 1.95125 1.57542 0.89613 0.04424 -0.81617 -1.51937 -1.92993 -1.96876 -1.62837 -0.97435 -0.13265 0.73460 1.46036 1.90483 1.98241 1.67814 1.05065 0.22079 -0.65160 -1.39848 -1.87600 -1.99217 -1.72463 -1.12490 -0.30850 0.56732 1.33387 1.84350 1.99804 1.76774 1.19694 0.39560 -0.48194 -1.26665 -1.80739 0.00000 ... ... ..... ....... ......... TT......... ............. E6u 2.00000 1.72463 0.97435 -0.04424 -1.05065 -1.76774 -1.99804 -1.67814 -0.89613 0.13265 1.12490 1.80739 1.99217 1.62837 0.81617 -0.22079 -1.19694 -1.84350 -1.98241 -1.57542 -0.73460 0.30850 1.26665 1.87600 1.96876 1.51937 0.65160 -0.39560 -1.33387 -1.90483 -1.95125 -1.46036 -0.56732 0.48194 1.39848 1.92993 0.00000 -2.00000 -1.92993 -1.39848 -0.48194 0.56732 1.46036 1.95125 1.90483 1.33387 0.39560 -0.65160 -1.51937 -1.96876 -1.87600 -1.26665 -0.30850 0.73460 1.57542 1.98241 1.84350 1.19694 0.22079 -0.81617 -1.62837 -1.99217 -1.80739 -1.12490 -0.13265 0.89613 1.67814 1.99804 1.76774 1.05065 0.04424 -0.97435 -1.72463 0.00000 ... ... ..... ....... ......... ........... ............. E7u 2.00000 1.62837 0.65160 -0.56732 -1.57542 -1.99804 -1.67814 -0.73460 0.48194 1.51937 1.99217 1.72463 0.81617 -0.39560 -1.46036 -1.98241 -1.76774 -0.89613 0.30850 1.39848 1.96876 1.80739 0.97435 -0.22079 -1.33387 -1.95125 -1.84350 -1.05065 0.13265 1.26665 1.92993 1.87600 1.12490 -0.04424 -1.19694 -1.90483 0.00000 -2.00000 1.90483 1.19694 0.04424 -1.12490 -1.87600 -1.92993 -1.26665 -0.13265 1.05065 1.84350 1.95125 1.33387 0.22079 -0.97435 -1.80739 -1.96876 -1.39848 -0.30850 0.89613 1.76774 1.98241 1.46036 0.39560 -0.81617 -1.72463 -1.99217 -1.51937 -0.48194 0.73460 1.67814 1.99804 1.57542 0.56732 -0.65160 -1.62837 0.00000 ... ... ..... ....... ......... ........... ............. E8u 2.00000 1.51937 0.30850 -1.05065 -1.90483 -1.84350 -0.89613 0.48194 1.62837 1.99217 1.39848 0.13265 -1.19694 -1.95125 -1.76774 -0.73460 0.65160 1.72463 1.96876 1.26665 -0.04424 -1.33387 -1.98241 -1.67814 -0.56732 0.81617 1.80739 1.92993 1.12490 -0.22079 -1.46036 -1.99804 -1.57542 -0.39560 0.97435 1.87600 0.00000 -2.00000 -1.87600 -0.97435 0.39560 1.57542 1.99804 1.46036 0.22079 -1.12490 -1.92993 -1.80739 -0.81617 0.56732 1.67814 1.98241 1.33387 0.04424 -1.26665 -1.96876 -1.72463 -0.65160 0.73460 1.76774 1.95125 1.19694 -0.13265 -1.39848 -1.99217 -1.62837 -0.48194 0.89613 1.84350 1.90483 1.05065 -0.30850 -1.51937 0.00000 ... ... ..... ....... ......... ........... ............. E9u 2.00000 1.39848 -0.04424 -1.46036 -1.99804 -1.33387 0.13265 1.51937 1.99217 1.26665 -0.22079 -1.57542 -1.98241 -1.19694 0.30850 1.62837 1.96876 1.12490 -0.39560 -1.67814 -1.95125 -1.05065 0.48194 1.72463 1.92993 0.97435 -0.56732 -1.76774 -1.90483 -0.89613 0.65160 1.80739 1.87600 0.81617 -0.73460 -1.84350 0.00000 -2.00000 1.84350 0.73460 -0.81617 -1.87600 -1.80739 -0.65160 0.89613 1.90483 1.76774 0.56732 -0.97435 -1.92993 -1.72463 -0.48194 1.05065 1.95125 1.67814 0.39560 -1.12490 -1.96876 -1.62837 -0.30850 1.19694 1.98241 1.57542 0.22079 -1.26665 -1.99217 -1.51937 -0.13265 1.33387 1.99804 1.46036 0.04424 -1.39848 0.00000 ... ... ..... ....... ......... ........... ............. E10u 2.00000 1.26665 -0.39560 -1.76774 -1.84350 -0.56732 1.12490 1.99217 1.39848 -0.22079 -1.67814 -1.90483 -0.73460 0.97435 1.96876 1.51937 -0.04424 -1.57542 -1.95125 -0.89613 0.81617 1.92993 1.62837 0.13265 -1.46036 -1.98241 -1.05065 0.65160 1.87600 1.72463 0.30850 -1.33387 -1.99804 -1.19694 0.48194 1.80739 0.00000 -2.00000 -1.80739 -0.48194 1.19694 1.99804 1.33387 -0.30850 -1.72463 -1.87600 -0.65160 1.05065 1.98241 1.46036 -0.13265 -1.62837 -1.92993 -0.81617 0.89613 1.95125 1.57542 0.04424 -1.51937 -1.96876 -0.97435 0.73460 1.90483 1.67814 0.22079 -1.39848 -1.99217 -1.12490 0.56732 1.84350 1.76774 0.39560 -1.26665 0.00000 ... ... ..... ....... ......... ........... ............. E11u 2.00000 1.12490 -0.73460 -1.95125 -1.46036 0.30850 1.80739 1.72463 0.13265 -1.57542 -1.90483 -0.56732 1.26665 1.99217 0.97435 -0.89613 -1.98241 -1.33387 0.48194 1.87600 1.62837 -0.04424 -1.67814 -1.84350 -0.39560 1.39848 1.96876 0.81617 -1.05065 -1.99804 -1.19694 0.65160 1.92993 1.51937 -0.22079 -1.76774 0.00000 -2.00000 1.76774 0.22079 -1.51937 -1.92993 -0.65160 1.19694 1.99804 1.05065 -0.81617 -1.96876 -1.39848 0.39560 1.84350 1.67814 0.04424 -1.62837 -1.87600 -0.48194 1.33387 1.98241 0.89613 -0.97435 -1.99217 -1.26665 0.56732 1.90483 1.57542 -0.13265 -1.72463 -1.80739 -0.30850 1.46036 1.95125 0.73460 -1.12490 0.00000 ... ... ..... ....... ......... ........... ............. E12u 2.00000 0.97435 -1.05065 -1.99804 -0.89613 1.12490 1.99217 0.81617 -1.19694 -1.98241 -0.73460 1.26665 1.96876 0.65160 -1.33387 -1.95125 -0.56732 1.39848 1.92993 0.48194 -1.46036 -1.90483 -0.39560 1.51937 1.87600 0.30850 -1.57542 -1.84350 -0.22079 1.62837 1.80739 0.13265 -1.67814 -1.76774 -0.04424 1.72463 0.00000 -2.00000 -1.72463 0.04424 1.76774 1.67814 -0.13265 -1.80739 -1.62837 0.22079 1.84350 1.57542 -0.30850 -1.87600 -1.51937 0.39560 1.90483 1.46036 -0.48194 -1.92993 -1.39848 0.56732 1.95125 1.33387 -0.65160 -1.96876 -1.26665 0.73460 1.98241 1.19694 -0.81617 -1.99217 -1.12490 0.89613 1.99804 1.05065 -0.97435 0.00000 ... ... ..... ....... ......... ........... ............. E13u 2.00000 0.81617 -1.33387 -1.90483 -0.22079 1.72463 1.62837 -0.39560 -1.95125 -1.19694 0.97435 1.99217 0.65160 -1.46036 -1.84350 -0.04424 1.80739 1.51937 -0.56732 -1.98241 -1.05065 1.12490 1.96876 0.48194 -1.57542 -1.76774 0.13265 1.87600 1.39848 -0.73460 -1.99804 -0.89613 1.26665 1.92993 0.30850 -1.67814 0.00000 -2.00000 1.67814 -0.30850 -1.92993 -1.26665 0.89613 1.99804 0.73460 -1.39848 -1.87600 -0.13265 1.76774 1.57542 -0.48194 -1.96876 -1.12490 1.05065 1.98241 0.56732 -1.51937 -1.80739 0.04424 1.84350 1.46036 -0.65160 -1.99217 -0.97435 1.19694 1.95125 0.39560 -1.62837 -1.72463 0.22079 1.90483 1.33387 -0.81617 0.00000 ... ... ..... ....... ......... ........... ............. E14u 2.00000 0.65160 -1.57542 -1.67814 0.48194 1.99217 0.81617 -1.46036 -1.76774 0.30850 1.96876 0.97435 -1.33387 -1.84350 0.13265 1.92993 1.12490 -1.19694 -1.90483 -0.04424 1.87600 1.26665 -1.05065 -1.95125 -0.22079 1.80739 1.39848 -0.89613 -1.98241 -0.39560 1.72463 1.51937 -0.73460 -1.99804 -0.56732 1.62837 0.00000 -2.00000 -1.62837 0.56732 1.99804 0.73460 -1.51937 -1.72463 0.39560 1.98241 0.89613 -1.39848 -1.80739 0.22079 1.95125 1.05065 -1.26665 -1.87600 0.04424 1.90483 1.19694 -1.12490 -1.92993 -0.13265 1.84350 1.33387 -0.97435 -1.96876 -0.30850 1.76774 1.46036 -0.81617 -1.99217 -0.48194 1.67814 1.57542 -0.65160 0.00000 ... ... ..... ....... ......... ........... ............. E15u 2.00000 0.48194 -1.76774 -1.33387 1.12490 1.87600 -0.22079 -1.98241 -0.73460 1.62837 1.51937 -0.89613 -1.95125 -0.04424 1.92993 0.97435 -1.46036 -1.67814 0.65160 1.99217 0.30850 -1.84350 -1.19694 1.26665 1.80739 -0.39560 -1.99804 -0.56732 1.72463 1.39848 -1.05065 -1.90483 0.13265 1.96876 0.81617 -1.57542 0.00000 -2.00000 1.57542 -0.81617 -1.96876 -0.13265 1.90483 1.05065 -1.39848 -1.72463 0.56732 1.99804 0.39560 -1.80739 -1.26665 1.19694 1.84350 -0.30850 -1.99217 -0.65160 1.67814 1.46036 -0.97435 -1.92993 0.04424 1.95125 0.89613 -1.51937 -1.62837 0.73460 1.98241 0.22079 -1.87600 -1.12490 1.33387 1.76774 -0.48194 0.00000 ... ... ..... ....... ......... ........... ............. E16u 2.00000 0.30850 -1.90483 -0.89613 1.62837 1.39848 -1.19694 -1.76774 0.65160 1.96876 -0.04424 -1.98241 -0.56732 1.80739 1.12490 -1.46036 -1.57542 0.97435 1.87600 -0.39560 -1.99804 -0.22079 1.92993 0.81617 -1.67814 -1.33387 1.26665 1.72463 -0.73460 -1.95125 0.13265 1.99217 0.48194 -1.84350 -1.05065 1.51937 0.00000 -2.00000 -1.51937 1.05065 1.84350 -0.48194 -1.99217 -0.13265 1.95125 0.73460 -1.72463 -1.26665 1.33387 1.67814 -0.81617 -1.92993 0.22079 1.99804 0.39560 -1.87600 -0.97435 1.57542 1.46036 -1.12490 -1.80739 0.56732 1.98241 0.04424 -1.96876 -0.65160 1.76774 1.19694 -1.39848 -1.62837 0.89613 1.90483 -0.30850 0.00000 ... ... ..... ....... ......... ........... ............. E17u 2.00000 0.13265 -1.98241 -0.39560 1.92993 0.65160 -1.84350 -0.89613 1.72463 1.12490 -1.57542 -1.33387 1.39848 1.51937 -1.19694 -1.67814 0.97435 1.80739 -0.73460 -1.90483 0.48194 1.96876 -0.22079 -1.99804 -0.04424 1.99217 0.30850 -1.95125 -0.56732 1.87600 0.81617 -1.76774 -1.05065 1.62837 1.26665 -1.46036 0.00000 -2.00000 1.46036 -1.26665 -1.62837 1.05065 1.76774 -0.81617 -1.87600 0.56732 1.95125 -0.30850 -1.99217 0.04424 1.99804 0.22079 -1.96876 -0.48194 1.90483 0.73460 -1.80739 -0.97435 1.67814 1.19694 -1.51937 -1.39848 1.33387 1.57542 -1.12490 -1.72463 0.89613 1.84350 -0.65160 -1.92993 0.39560 1.98241 -0.13265 0.00000 ... ... ..... ....... ......... ........... ............. E18u 2.00000 -0.04424 -1.99804 0.13265 1.99217 -0.22079 -1.98241 0.30850 1.96876 -0.39560 -1.95125 0.48194 1.92993 -0.56732 -1.90483 0.65160 1.87600 -0.73460 -1.84350 0.81617 1.80739 -0.89613 -1.76774 0.97435 1.72463 -1.05065 -1.67814 1.12490 1.62837 -1.19694 -1.57542 1.26665 1.51937 -1.33387 -1.46036 1.39848 0.00000 -2.00000 -1.39848 1.46036 1.33387 -1.51937 -1.26665 1.57542 1.19694 -1.62837 -1.12490 1.67814 1.05065 -1.72463 -0.97435 1.76774 0.89613 -1.80739 -0.81617 1.84350 0.73460 -1.87600 -0.65160 1.90483 0.56732 -1.92993 -0.48194 1.95125 0.39560 -1.96876 -0.30850 1.98241 0.22079 -1.99217 -0.13265 1.99804 0.04424 0.00000 ... ... ..... ....... ......... ........... ............. E19u 2.00000 -0.22079 -1.95125 0.65160 1.80739 -1.05065 -1.57542 1.39848 1.26665 -1.67814 -0.89613 1.87600 0.48194 -1.98241 -0.04424 1.99217 -0.39560 -1.90483 0.81617 1.72463 -1.19694 -1.46036 1.51937 1.12490 -1.76774 -0.73460 1.92993 0.30850 -1.99804 0.13265 1.96876 -0.56732 -1.84350 0.97435 1.62837 -1.33387 0.00000 -2.00000 1.33387 -1.62837 -0.97435 1.84350 0.56732 -1.96876 -0.13265 1.99804 -0.30850 -1.92993 0.73460 1.76774 -1.12490 -1.51937 1.46036 1.19694 -1.72463 -0.81617 1.90483 0.39560 -1.99217 0.04424 1.98241 -0.48194 -1.87600 0.89613 1.67814 -1.26665 -1.39848 1.57542 1.05065 -1.80739 -0.65160 1.95125 0.22079 0.00000 ... ... ..... ....... ......... ........... ............. E20u 2.00000 -0.39560 -1.84350 1.12490 1.39848 -1.67814 -0.73460 1.96876 -0.04424 -1.95125 0.81617 1.62837 -1.46036 -1.05065 1.87600 0.30850 -1.99804 0.48194 1.80739 -1.19694 -1.33387 1.72463 0.65160 -1.98241 0.13265 1.92993 -0.89613 -1.57542 1.51937 0.97435 -1.90483 -0.22079 1.99217 -0.56732 -1.76774 1.26665 0.00000 -2.00000 -1.26665 1.76774 0.56732 -1.99217 0.22079 1.90483 -0.97435 -1.51937 1.57542 0.89613 -1.92993 -0.13265 1.98241 -0.65160 -1.72463 1.33387 1.19694 -1.80739 -0.48194 1.99804 -0.30850 -1.87600 1.05065 1.46036 -1.62837 -0.81617 1.95125 0.04424 -1.96876 0.73460 1.67814 -1.39848 -1.12490 1.84350 0.39560 0.00000 ... ... ..... ....... ......... ........... ............. E21u 2.00000 -0.56732 -1.67814 1.51937 0.81617 -1.98241 0.30850 1.80739 -1.33387 -1.05065 1.92993 -0.04424 -1.90483 1.12490 1.26665 -1.84350 -0.22079 1.96876 -0.89613 -1.46036 1.72463 0.48194 -1.99804 0.65160 1.62837 -1.57542 -0.73460 1.99217 -0.39560 -1.76774 1.39848 0.97435 -1.95125 0.13265 1.87600 -1.19694 0.00000 -2.00000 1.19694 -1.87600 -0.13265 1.95125 -0.97435 -1.39848 1.76774 0.39560 -1.99217 0.73460 1.57542 -1.62837 -0.65160 1.99804 -0.48194 -1.72463 1.46036 0.89613 -1.96876 0.22079 1.84350 -1.26665 -1.12490 1.90483 0.04424 -1.92993 1.05065 1.33387 -1.80739 -0.30850 1.98241 -0.81617 -1.51937 1.67814 0.56732 0.00000 ... ... ..... ....... ......... ........... ............. E22u 2.00000 -0.73460 -1.46036 1.80739 0.13265 -1.90483 1.26665 0.97435 -1.98241 0.48194 1.62837 -1.67814 -0.39560 1.96876 -1.05065 -1.19694 1.92993 -0.22079 -1.76774 1.51937 0.65160 -1.99804 0.81617 1.39848 -1.84350 -0.04424 1.87600 -1.33387 -0.89613 1.99217 -0.56732 -1.57542 1.72463 0.30850 -1.95125 1.12490 0.00000 -2.00000 -1.12490 1.95125 -0.30850 -1.72463 1.57542 0.56732 -1.99217 0.89613 1.33387 -1.87600 0.04424 1.84350 -1.39848 -0.81617 1.99804 -0.65160 -1.51937 1.76774 0.22079 -1.92993 1.19694 1.05065 -1.96876 0.39560 1.67814 -1.62837 -0.48194 1.98241 -0.97435 -1.26665 1.90483 -0.13265 -1.80739 1.46036 0.73460 0.00000 ... ... ..... ....... ......... ........... ............. E23u 2.00000 -0.89613 -1.19694 1.96876 -0.56732 -1.46036 1.87600 -0.22079 -1.67814 1.72463 0.13265 -1.84350 1.51937 0.48194 -1.95125 1.26665 0.81617 -1.99804 0.97435 1.12490 -1.98241 0.65160 1.39848 -1.90483 0.30850 1.62837 -1.76774 -0.04424 1.80739 -1.57542 -0.39560 1.92993 -1.33387 -0.73460 1.99217 -1.05065 0.00000 -2.00000 1.05065 -1.99217 0.73460 1.33387 -1.92993 0.39560 1.57542 -1.80739 0.04424 1.76774 -1.62837 -0.30850 1.90483 -1.39848 -0.65160 1.98241 -1.12490 -0.97435 1.99804 -0.81617 -1.26665 1.95125 -0.48194 -1.51937 1.84350 -0.13265 -1.72463 1.67814 0.22079 -1.87600 1.46036 0.56732 -1.96876 1.19694 0.89613 0.00000 ... ... ..... ....... ......... ........... ............. E24u 2.00000 -1.05065 -0.89613 1.99217 -1.19694 -0.73460 1.96876 -1.33387 -0.56732 1.92993 -1.46036 -0.39560 1.87600 -1.57542 -0.22079 1.80739 -1.67814 -0.04424 1.72463 -1.76774 0.13265 1.62837 -1.84350 0.30850 1.51937 -1.90483 0.48194 1.39848 -1.95125 0.65160 1.26665 -1.98241 0.81617 1.12490 -1.99804 0.97435 0.00000 -2.00000 -0.97435 1.99804 -1.12490 -0.81617 1.98241 -1.26665 -0.65160 1.95125 -1.39848 -0.48194 1.90483 -1.51937 -0.30850 1.84350 -1.62837 -0.13265 1.76774 -1.72463 0.04424 1.67814 -1.80739 0.22079 1.57542 -1.87600 0.39560 1.46036 -1.92993 0.56732 1.33387 -1.96876 0.73460 1.19694 -1.99217 0.89613 1.05065 0.00000 ... ... ..... ....... ......... ........... ............. E25u 2.00000 -1.19694 -0.56732 1.87600 -1.67814 0.13265 1.51937 -1.95125 0.81617 0.97435 -1.98241 1.39848 0.30850 -1.76774 1.80739 -0.39560 -1.33387 1.99217 -1.05065 -0.73460 1.92993 -1.57542 -0.04424 1.62837 -1.90483 0.65160 1.12490 -1.99804 1.26665 0.48194 -1.84350 1.72463 -0.22079 -1.46036 1.96876 -0.89613 0.00000 -2.00000 0.89613 -1.96876 1.46036 0.22079 -1.72463 1.84350 -0.48194 -1.26665 1.99804 -1.12490 -0.65160 1.90483 -1.62837 0.04424 1.57542 -1.92993 0.73460 1.05065 -1.99217 1.33387 0.39560 -1.80739 1.76774 -0.30850 -1.39848 1.98241 -0.97435 -0.81617 1.95125 -1.51937 -0.13265 1.67814 -1.87600 0.56732 1.19694 0.00000 ... ... ..... ....... ......... ........... ............. E26u 2.00000 -1.33387 -0.22079 1.62837 -1.95125 0.97435 0.65160 -1.84350 1.80739 -0.56732 -1.05065 1.96876 -1.57542 0.13265 1.39848 -1.99804 1.26665 0.30850 -1.67814 1.92993 -0.89613 -0.73460 1.87600 -1.76774 0.48194 1.12490 -1.98241 1.51937 -0.04424 -1.46036 1.99217 -1.19694 -0.39560 1.72463 -1.90483 0.81617 0.00000 -2.00000 -0.81617 1.90483 -1.72463 0.39560 1.19694 -1.99217 1.46036 0.04424 -1.51937 1.98241 -1.12490 -0.48194 1.76774 -1.87600 0.73460 0.89613 -1.92993 1.67814 -0.30850 -1.26665 1.99804 -1.39848 -0.13265 1.57542 -1.96876 1.05065 0.56732 -1.80739 1.84350 -0.65160 -0.97435 1.95125 -1.62837 0.22079 1.33387 0.00000 ... ... ..... ....... ......... ........... ............. E27u 2.00000 -1.46036 0.13265 1.26665 -1.98241 1.62837 -0.39560 -1.05065 1.92993 -1.76774 0.65160 0.81617 -1.84350 1.87600 -0.89613 -0.56732 1.72463 -1.95125 1.12490 0.30850 -1.57542 1.99217 -1.33387 -0.04424 1.39848 -1.99804 1.51937 -0.22079 -1.19694 1.96876 -1.67814 0.48194 0.97435 -1.90483 1.80739 -0.73460 0.00000 -2.00000 0.73460 -1.80739 1.90483 -0.97435 -0.48194 1.67814 -1.96876 1.19694 0.22079 -1.51937 1.99804 -1.39848 0.04424 1.33387 -1.99217 1.57542 -0.30850 -1.12490 1.95125 -1.72463 0.56732 0.89613 -1.87600 1.84350 -0.81617 -0.65160 1.76774 -1.92993 1.05065 0.39560 -1.62837 1.98241 -1.26665 -0.13265 1.46036 0.00000 ... ... ..... ....... ......... ........... ............. E28u 2.00000 -1.57542 0.48194 0.81617 -1.76774 1.96876 -1.33387 0.13265 1.12490 -1.90483 1.87600 -1.05065 -0.22079 1.39848 -1.98241 1.72463 -0.73460 -0.56732 1.62837 -1.99804 1.51937 -0.39560 -0.89613 1.80739 -1.95125 1.26665 -0.04424 -1.19694 1.92993 -1.84350 0.97435 0.30850 -1.46036 1.99217 -1.67814 0.65160 0.00000 -2.00000 -0.65160 1.67814 -1.99217 1.46036 -0.30850 -0.97435 1.84350 -1.92993 1.19694 0.04424 -1.26665 1.95125 -1.80739 0.89613 0.39560 -1.51937 1.99804 -1.62837 0.56732 0.73460 -1.72463 1.98241 -1.39848 0.22079 1.05065 -1.87600 1.90483 -1.12490 -0.13265 1.33387 -1.96876 1.76774 -0.81617 -0.48194 1.57542 0.00000 ... ... ..... ....... ......... ........... ............. E29u 2.00000 -1.67814 0.81617 0.30850 -1.33387 1.92993 -1.90483 1.26665 -0.22079 -0.89613 1.72463 -1.99804 1.62837 -0.73460 -0.39560 1.39848 -1.95125 1.87600 -1.19694 0.13265 0.97435 -1.76774 1.99217 -1.57542 0.65160 0.48194 -1.46036 1.96876 -1.84350 1.12490 -0.04424 -1.05065 1.80739 -1.98241 1.51937 -0.56732 0.00000 -2.00000 0.56732 -1.51937 1.98241 -1.80739 1.05065 0.04424 -1.12490 1.84350 -1.96876 1.46036 -0.48194 -0.65160 1.57542 -1.99217 1.76774 -0.97435 -0.13265 1.19694 -1.87600 1.95125 -1.39848 0.39560 0.73460 -1.62837 1.99804 -1.72463 0.89613 0.22079 -1.26665 1.90483 -1.92993 1.33387 -0.30850 -0.81617 1.67814 0.00000 ... ... ..... ....... ......... ........... ............. E30u 2.00000 -1.76774 1.12490 -0.22079 -0.73460 1.51937 -1.95125 1.92993 -1.46036 0.65160 0.30850 -1.19694 1.80739 -1.99804 1.72463 -1.05065 0.13265 0.81617 -1.57542 1.96876 -1.90483 1.39848 -0.56732 -0.39560 1.26665 -1.84350 1.99217 -1.67814 0.97435 -0.04424 -0.89613 1.62837 -1.98241 1.87600 -1.33387 0.48194 0.00000 -2.00000 -0.48194 1.33387 -1.87600 1.98241 -1.62837 0.89613 0.04424 -0.97435 1.67814 -1.99217 1.84350 -1.26665 0.39560 0.56732 -1.39848 1.90483 -1.96876 1.57542 -0.81617 -0.13265 1.05065 -1.72463 1.99804 -1.80739 1.19694 -0.30850 -0.65160 1.46036 -1.92993 1.95125 -1.51937 0.73460 0.22079 -1.12490 1.76774 0.00000 ... ... ..... ....... ......... ........... ............. E31u 2.00000 -1.84350 1.39848 -0.73460 -0.04424 0.81617 -1.46036 1.87600 -1.99804 1.80739 -1.33387 0.65160 0.13265 -0.89613 1.51937 -1.90483 1.99217 -1.76774 1.26665 -0.56732 -0.22079 0.97435 -1.57542 1.92993 -1.98241 1.72463 -1.19694 0.48194 0.30850 -1.05065 1.62837 -1.95125 1.96876 -1.67814 1.12490 -0.39560 0.00000 -2.00000 0.39560 -1.12490 1.67814 -1.96876 1.95125 -1.62837 1.05065 -0.30850 -0.48194 1.19694 -1.72463 1.98241 -1.92993 1.57542 -0.97435 0.22079 0.56732 -1.26665 1.76774 -1.99217 1.90483 -1.51937 0.89613 -0.13265 -0.65160 1.33387 -1.80739 1.99804 -1.87600 1.46036 -0.81617 0.04424 0.73460 -1.39848 1.84350 0.00000 ... ... ..... ....... ......... ........... ............. E32u 2.00000 -1.90483 1.62837 -1.19694 0.65160 -0.04424 -0.56732 1.12490 -1.57542 1.87600 -1.99804 1.92993 -1.67814 1.26665 -0.73460 0.13265 0.48194 -1.05065 1.51937 -1.84350 1.99217 -1.95125 1.72463 -1.33387 0.81617 -0.22079 -0.39560 0.97435 -1.46036 1.80739 -1.98241 1.96876 -1.76774 1.39848 -0.89613 0.30850 0.00000 -2.00000 -0.30850 0.89613 -1.39848 1.76774 -1.96876 1.98241 -1.80739 1.46036 -0.97435 0.39560 0.22079 -0.81617 1.33387 -1.72463 1.95125 -1.99217 1.84350 -1.51937 1.05065 -0.48194 -0.13265 0.73460 -1.26665 1.67814 -1.92993 1.99804 -1.87600 1.57542 -1.12490 0.56732 0.04424 -0.65160 1.19694 -1.62837 1.90483 0.00000 ... ... ..... ....... ......... ........... ............. E33u 2.00000 -1.95125 1.80739 -1.57542 1.26665 -0.89613 0.48194 -0.04424 -0.39560 0.81617 -1.19694 1.51937 -1.76774 1.92993 -1.99804 1.96876 -1.84350 1.62837 -1.33387 0.97435 -0.56732 0.13265 0.30850 -0.73460 1.12490 -1.46036 1.72463 -1.90483 1.99217 -1.98241 1.87600 -1.67814 1.39848 -1.05065 0.65160 -0.22079 0.00000 -2.00000 0.22079 -0.65160 1.05065 -1.39848 1.67814 -1.87600 1.98241 -1.99217 1.90483 -1.72463 1.46036 -1.12490 0.73460 -0.30850 -0.13265 0.56732 -0.97435 1.33387 -1.62837 1.84350 -1.96876 1.99804 -1.92993 1.76774 -1.51937 1.19694 -0.81617 0.39560 0.04424 -0.48194 0.89613 -1.26665 1.57542 -1.80739 1.95125 0.00000 ... ... ..... ....... ......... ........... ............. E34u 2.00000 -1.98241 1.92993 -1.84350 1.72463 -1.57542 1.39848 -1.19694 0.97435 -0.73460 0.48194 -0.22079 -0.04424 0.30850 -0.56732 0.81617 -1.05065 1.26665 -1.46036 1.62837 -1.76774 1.87600 -1.95125 1.99217 -1.99804 1.96876 -1.90483 1.80739 -1.67814 1.51937 -1.33387 1.12490 -0.89613 0.65160 -0.39560 0.13265 0.00000 -2.00000 -0.13265 0.39560 -0.65160 0.89613 -1.12490 1.33387 -1.51937 1.67814 -1.80739 1.90483 -1.96876 1.99804 -1.99217 1.95125 -1.87600 1.76774 -1.62837 1.46036 -1.26665 1.05065 -0.81617 0.56732 -0.30850 0.04424 0.22079 -0.48194 0.73460 -0.97435 1.19694 -1.39848 1.57542 -1.72463 1.84350 -1.92993 1.98241 0.00000 ... ... ..... ....... ......... ........... ............. E35u 2.00000 -1.99804 1.99217 -1.98241 1.96876 -1.95125 1.92993 -1.90483 1.87600 -1.84350 1.80739 -1.76774 1.72463 -1.67814 1.62837 -1.57542 1.51937 -1.46036 1.39848 -1.33387 1.26665 -1.19694 1.12490 -1.05065 0.97435 -0.89613 0.81617 -0.73460 0.65160 -0.56732 0.48194 -0.39560 0.30850 -0.22079 0.13265 -0.04424 0.00000 -2.00000 0.04424 -0.13265 0.22079 -0.30850 0.39560 -0.48194 0.56732 -0.65160 0.73460 -0.81617 0.89613 -0.97435 1.05065 -1.12490 1.19694 -1.26665 1.33387 -1.39848 1.46036 -1.51937 1.57542 -1.62837 1.67814 -1.72463 1.76774 -1.80739 1.84350 -1.87600 1.90483 -1.92993 1.95125 -1.96876 1.98241 -1.99217 1.99804 0.00000 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.998042453040 = 2*cos(2*π/142) = 2*cos(π/71) 1.992173644150 = 2*cos(4*π/142) = 2*cos(2*π/71) 1.982405061799 = 2*cos(6*π/142) = 2*cos(3*π/71) 1.968755828445 = 2*cos(8*π/142) = 2*cos(4*π/71) 1.951252663105 = 2*cos(10*π/142) = 2*cos(5*π/71) 1.929929829046 = 2*cos(12*π/142) = 2*cos(6*π/71) 1.904829066716 = 2*cos(14*π/142) = 2*cos(7*π/71) 1.875999512038 = 2*cos(16*π/142) = 2*cos(8*π/71) 1.843497600218 = 2*cos(18*π/142) = 2*cos(9*π/71) 1.807386955274 = 2*cos(20*π/142) = 2*cos(10*π/71) 1.767738265491 = 2*cos(22*π/142) = 2*cos(11*π/71) 1.724629145040 = 2*cos(24*π/142) = 2*cos(12*π/71) 1.678143982049 = 2*cos(26*π/142) = 2*cos(13*π/71) 1.628373773407 = 2*cos(28*π/142) = 2*cos(14*π/71) 1.575415946635 = 2*cos(30*π/142) = 2*cos(15*π/71) 1.519374169167 = 2*cos(32*π/142) = 2*cos(16*π/71) 1.460358145412 = 2*cos(34*π/142) = 2*cos(17*π/71) 1.398483402009 = 2*cos(36*π/142) = 2*cos(18*π/71) 1.333871061673 = 2*cos(38*π/142) = 2*cos(19*π/71) 1.266647606096 = 2*cos(40*π/142) = 2*cos(20*π/71) 1.196944628348 = 2*cos(42*π/142) = 2*cos(21*π/71) 1.124898575282 = 2*cos(44*π/142) = 2*cos(22*π/71) 1.050650480429 = 2*cos(46*π/142) = 2*cos(23*π/71) 0.974345687922 = 2*cos(48*π/142) = 2*cos(24*π/71) 0.896133567975 = 2*cos(50*π/142) = 2*cos(25*π/71) 0.816167224487 = 2*cos(52*π/142) = 2*cos(26*π/71) 0.734603195330 = 2*cos(54*π/142) = 2*cos(27*π/71) 0.651601145920 = 2*cos(56*π/142) = 2*cos(28*π/71) 0.567323556669 = 2*cos(58*π/142) = 2*cos(29*π/71) 0.481935404913 = 2*cos(60*π/142) = 2*cos(30*π/71) 0.395603841971 = 2*cos(62*π/142) = 2*cos(31*π/71) 0.308497865931 = 2*cos(64*π/142) = 2*cos(32*π/71) 0.220787990831 = 2*cos(66*π/142) = 2*cos(33*π/71) 0.132645912870 = 2*cos(68*π/142) = 2*cos(34*π/71) 0.044244174306 = 2*cos(70*π/142) = 2*cos(35*π/71) Symmetry of Rotations and Cartesian products A1g d+g+i+k+m z², z⁴, z⁶ A2g R R_z E1g R+d+g+i+k+m {R_x, R_y}, {xz, yz}, {xz³, yz³}, {xz⁵, yz⁵} E2g d+g+i+k+m {x²−y², xy}, {z²(x²−y²), xyz²}, {z⁴(x²−y²), xyz⁴} E3g g+i+k+m {xz(x²−3y²), yz(3x²−y²)}, {xz³(x²−3y²), yz³(3x²−y²)} E4g g+i+k+m {(x²−y²)²−4x²y², xy(x²−y²)}, {z²((x²−y²)²−4x²y²), xyz²(x²−y²)} E5g 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)} E6g i+k+m {x²(x²−3y²)²−y²(3x²−y²)², xy(x²−3y²)(3x²−y²)} E7g k+m E8g k+m E9g m E10g m A2u p+f+h+j+l z, z³, z⁵ E1u p+f+h+j+l {x, y}, {xz², yz²}, {xz⁴, yz⁴} E2u f+h+j+l {z(x²−y²), xyz}, {z³(x²−y²), xyz³} E3u f+h+j+l {x(x²−3y²), y(3x²−y²)}, {xz²(x²−3y²), yz²(3x²−y²)} E4u h+j+l {z((x²−y²)²−4x²y²), xyz(x²−y²)} E5u 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)} E6u j+l E7u j+l E8u l E9u l Notes: α The order of the D_71d point group is 284, and the order of the principal axis (S₁₄₂) is 142. The group has 74 irreducible representations. β The D_71d point group is isomorphic to D_71h, C_142v and D₁₄₂. γ The D_71d point group is generated by two symmetry elements, S₁₄₂ and either a perpendicular C₂^′ or a vertical σ_d. Also, the group may be generated from any C₂^′ plus any σ_d plane. The canonical choice, however, is to use redundant generators: C₇₁, C₂^′ and i. 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. Reversely, the single set of symmetry planes denoted σ_d contains the yz plane but not the xz plane. ε The lowest nonvanishing multipole moment in D_71d 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_71d point group was created by Gernot Katzer.

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

	D_69d
	D_70d
C₇₁ C_71v C_71h D₇₁ D_71h	D_71d
	D_72d
	D_73d

Character table for the D71d point group

Character table for the D_71d point group