Character Table for Point Group D87d

Character table for the D_87d point group

D87d E 2 C87 2 C87^2 2 C29 2 C87^4 2 C87^5 2 C29^2 2 C87^7 2 C87^8 2 C29^3 2 C87^10 2 C87^11 2 C29^4 2 C87^13 2 C87^14 2 C29^5 2 C87^16 2 C87^17 2 C29^6 2 C87^19 2 C87^20 2 C29^7 2 C87^22 2 C87^23 2 C29^8 2 C87^25 2 C87^26 2 C29^9 2 C87^28 2 C3 2 C29^10 2 C87^31 2 C87^32 2 C29^11 2 C87^34 2 C87^35 2 C29^12 2 C87^37 2 C87^38 2 C29^13 2 C87^40 2 C87^41 2 C29^14 2 C87^43 87 C2' i 2 S174 2 S58 2 S174^5 2 S174^7 2 S58^3 2 S174^11 2 S174^13 2 S58^5 2 S174^17 2 S174^19 2 S58^7 2 S174^23 2 S174^25 2 S58^9 2 S6 2 S174^31 2 S58^11 2 S174^35 2 S174^37 2 S58^13 2 S174^41 2 S174^43 2 S58^15 2 S174^47 2 S174^49 2 S58^17 2 S174^53 2 S174^55 2 S58^19 2 S174^59 2 S174^61 2 S58^21 2 S174^65 2 S174^67 2 S58^23 2 S174^71 2 S174^73 2 S58^25 2 S174^77 2 S174^79 2 S58^27 2 S174^83 2 S174^85 87 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 1.00000 1.00000 1.00000 1.00000 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 1.00000 1.00000 1.00000 1.00000 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 1.99479 1.97917 1.95324 1.91713 1.87102 1.81515 1.74982 1.67537 1.59219 1.50070 1.40139 1.29477 1.18141 1.06188 0.93682 0.80687 0.67272 0.53506 0.39461 0.25210 0.10828 -0.03611 -0.18031 -0.32356 -0.46513 -0.60428 -0.74028 -0.87241 -1.00000 -1.12237 -1.23890 -1.34896 -1.45199 -1.54745 -1.63484 -1.71371 -1.78365 -1.84429 -1.89531 -1.93645 -1.96749 -1.98828 -1.99870 0.00000 2.00000 -1.99870 -1.98828 -1.96749 -1.93645 -1.89531 -1.84429 -1.78365 -1.71371 -1.63484 -1.54745 -1.45199 -1.34896 -1.23890 -1.12237 -1.00000 -0.87241 -0.74028 -0.60428 -0.46513 -0.32356 -0.18031 -0.03611 0.10828 0.25210 0.39461 0.53506 0.67272 0.80687 0.93682 1.06188 1.18141 1.29477 1.40139 1.50070 1.59219 1.67537 1.74982 1.81515 1.87102 1.91713 1.95324 1.97917 1.99479 0.00000 TT. ... ..TT. ....... ......TT. ........... ..........TT. E2g 2.00000 1.97917 1.91713 1.81515 1.67537 1.50070 1.29477 1.06188 0.80687 0.53506 0.25210 -0.03611 -0.32356 -0.60428 -0.87241 -1.12237 -1.34896 -1.54745 -1.71371 -1.84429 -1.93645 -1.98828 -1.99870 -1.96749 -1.89531 -1.78365 -1.63484 -1.45199 -1.23890 -1.00000 -0.74028 -0.46513 -0.18031 0.10828 0.39461 0.67272 0.93682 1.18141 1.40139 1.59219 1.74982 1.87102 1.95324 1.99479 0.00000 2.00000 1.99479 1.95324 1.87102 1.74982 1.59219 1.40139 1.18141 0.93682 0.67272 0.39461 0.10828 -0.18031 -0.46513 -0.74028 -1.00000 -1.23890 -1.45199 -1.63484 -1.78365 -1.89531 -1.96749 -1.99870 -1.98828 -1.93645 -1.84429 -1.71371 -1.54745 -1.34896 -1.12237 -0.87241 -0.60428 -0.32356 -0.03611 0.25210 0.53506 0.80687 1.06188 1.29477 1.50070 1.67537 1.81515 1.91713 1.97917 0.00000 ... ... TT... ....... ....TT... ........... ........TT... E3g 2.00000 1.95324 1.81515 1.59219 1.29477 0.93682 0.53506 0.10828 -0.32356 -0.74028 -1.12237 -1.45199 -1.71371 -1.89531 -1.98828 -1.98828 -1.89531 -1.71371 -1.45199 -1.12237 -0.74028 -0.32356 0.10828 0.53506 0.93682 1.29477 1.59219 1.81515 1.95324 2.00000 1.95324 1.81515 1.59219 1.29477 0.93682 0.53506 0.10828 -0.32356 -0.74028 -1.12237 -1.45199 -1.71371 -1.89531 -1.98828 0.00000 2.00000 -1.98828 -1.89531 -1.71371 -1.45199 -1.12237 -0.74028 -0.32356 0.10828 0.53506 0.93682 1.29477 1.59219 1.81515 1.95324 2.00000 1.95324 1.81515 1.59219 1.29477 0.93682 0.53506 0.10828 -0.32356 -0.74028 -1.12237 -1.45199 -1.71371 -1.89531 -1.98828 -1.98828 -1.89531 -1.71371 -1.45199 -1.12237 -0.74028 -0.32356 0.10828 0.53506 0.93682 1.29477 1.59219 1.81515 1.95324 0.00000 ... ... ..... ....... ..TT..... ........... ......TT..... E4g 2.00000 1.91713 1.67537 1.29477 0.80687 0.25210 -0.32356 -0.87241 -1.34896 -1.71371 -1.93645 -1.99870 -1.89531 -1.63484 -1.23890 -0.74028 -0.18031 0.39461 0.93682 1.40139 1.74982 1.95324 1.99479 1.87102 1.59219 1.18141 0.67272 0.10828 -0.46513 -1.00000 -1.45199 -1.78365 -1.96749 -1.98828 -1.84429 -1.54745 -1.12237 -0.60428 -0.03611 0.53506 1.06188 1.50070 1.81515 1.97917 0.00000 2.00000 1.97917 1.81515 1.50070 1.06188 0.53506 -0.03611 -0.60428 -1.12237 -1.54745 -1.84429 -1.98828 -1.96749 -1.78365 -1.45199 -1.00000 -0.46513 0.10828 0.67272 1.18141 1.59219 1.87102 1.99479 1.95324 1.74982 1.40139 0.93682 0.39461 -0.18031 -0.74028 -1.23890 -1.63484 -1.89531 -1.99870 -1.93645 -1.71371 -1.34896 -0.87241 -0.32356 0.25210 0.80687 1.29477 1.67537 1.91713 0.00000 ... ... ..... ....... TT....... ........... ....TT....... E5g 2.00000 1.87102 1.50070 0.93682 0.25210 -0.46513 -1.12237 -1.63484 -1.93645 -1.98828 -1.78365 -1.34896 -0.74028 -0.03611 0.67272 1.29477 1.74982 1.97917 1.95324 1.67537 1.18141 0.53506 -0.18031 -0.87241 -1.45199 -1.84429 -1.99870 -1.89531 -1.54745 -1.00000 -0.32356 0.39461 1.06188 1.59219 1.91713 1.99479 1.81515 1.40139 0.80687 0.10828 -0.60428 -1.23890 -1.71371 -1.96749 0.00000 2.00000 -1.96749 -1.71371 -1.23890 -0.60428 0.10828 0.80687 1.40139 1.81515 1.99479 1.91713 1.59219 1.06188 0.39461 -0.32356 -1.00000 -1.54745 -1.89531 -1.99870 -1.84429 -1.45199 -0.87241 -0.18031 0.53506 1.18141 1.67537 1.95324 1.97917 1.74982 1.29477 0.67272 -0.03611 -0.74028 -1.34896 -1.78365 -1.98828 -1.93645 -1.63484 -1.12237 -0.46513 0.25210 0.93682 1.50070 1.87102 0.00000 ... ... ..... ....... ......... ........... ..TT......... E6g 2.00000 1.81515 1.29477 0.53506 -0.32356 -1.12237 -1.71371 -1.98828 -1.89531 -1.45199 -0.74028 0.10828 0.93682 1.59219 1.95324 1.95324 1.59219 0.93682 0.10828 -0.74028 -1.45199 -1.89531 -1.98828 -1.71371 -1.12237 -0.32356 0.53506 1.29477 1.81515 2.00000 1.81515 1.29477 0.53506 -0.32356 -1.12237 -1.71371 -1.98828 -1.89531 -1.45199 -0.74028 0.10828 0.93682 1.59219 1.95324 0.00000 2.00000 1.95324 1.59219 0.93682 0.10828 -0.74028 -1.45199 -1.89531 -1.98828 -1.71371 -1.12237 -0.32356 0.53506 1.29477 1.81515 2.00000 1.81515 1.29477 0.53506 -0.32356 -1.12237 -1.71371 -1.98828 -1.89531 -1.45199 -0.74028 0.10828 0.93682 1.59219 1.95324 1.95324 1.59219 0.93682 0.10828 -0.74028 -1.45199 -1.89531 -1.98828 -1.71371 -1.12237 -0.32356 0.53506 1.29477 1.81515 0.00000 ... ... ..... ....... ......... ........... TT........... E7g 2.00000 1.74982 1.06188 0.10828 -0.87241 -1.63484 -1.98828 -1.84429 -1.23890 -0.32356 0.67272 1.50070 1.95324 1.91713 1.40139 0.53506 -0.46513 -1.34896 -1.89531 -1.96749 -1.54745 -0.74028 0.25210 1.18141 1.81515 1.99479 1.67537 0.93682 -0.03611 -1.00000 -1.71371 -1.99870 -1.78365 -1.12237 -0.18031 0.80687 1.59219 1.97917 1.87102 1.29477 0.39461 -0.60428 -1.45199 -1.93645 0.00000 2.00000 -1.93645 -1.45199 -0.60428 0.39461 1.29477 1.87102 1.97917 1.59219 0.80687 -0.18031 -1.12237 -1.78365 -1.99870 -1.71371 -1.00000 -0.03611 0.93682 1.67537 1.99479 1.81515 1.18141 0.25210 -0.74028 -1.54745 -1.96749 -1.89531 -1.34896 -0.46513 0.53506 1.40139 1.91713 1.95324 1.50070 0.67272 -0.32356 -1.23890 -1.84429 -1.98828 -1.63484 -0.87241 0.10828 1.06188 1.74982 0.00000 ... ... ..... ....... ......... ........... ............. E8g 2.00000 1.67537 0.80687 -0.32356 -1.34896 -1.93645 -1.89531 -1.23890 -0.18031 0.93682 1.74982 1.99479 1.59219 0.67272 -0.46513 -1.45199 -1.96749 -1.84429 -1.12237 -0.03611 1.06188 1.81515 1.97917 1.50070 0.53506 -0.60428 -1.54745 -1.98828 -1.78365 -1.00000 0.10828 1.18141 1.87102 1.95324 1.40139 0.39461 -0.74028 -1.63484 -1.99870 -1.71371 -0.87241 0.25210 1.29477 1.91713 0.00000 2.00000 1.91713 1.29477 0.25210 -0.87241 -1.71371 -1.99870 -1.63484 -0.74028 0.39461 1.40139 1.95324 1.87102 1.18141 0.10828 -1.00000 -1.78365 -1.98828 -1.54745 -0.60428 0.53506 1.50070 1.97917 1.81515 1.06188 -0.03611 -1.12237 -1.84429 -1.96749 -1.45199 -0.46513 0.67272 1.59219 1.99479 1.74982 0.93682 -0.18031 -1.23890 -1.89531 -1.93645 -1.34896 -0.32356 0.80687 1.67537 0.00000 ... ... ..... ....... ......... ........... ............. E9g 2.00000 1.59219 0.53506 -0.74028 -1.71371 -1.98828 -1.45199 -0.32356 0.93682 1.81515 1.95324 1.29477 0.10828 -1.12237 -1.89531 -1.89531 -1.12237 0.10828 1.29477 1.95324 1.81515 0.93682 -0.32356 -1.45199 -1.98828 -1.71371 -0.74028 0.53506 1.59219 2.00000 1.59219 0.53506 -0.74028 -1.71371 -1.98828 -1.45199 -0.32356 0.93682 1.81515 1.95324 1.29477 0.10828 -1.12237 -1.89531 0.00000 2.00000 -1.89531 -1.12237 0.10828 1.29477 1.95324 1.81515 0.93682 -0.32356 -1.45199 -1.98828 -1.71371 -0.74028 0.53506 1.59219 2.00000 1.59219 0.53506 -0.74028 -1.71371 -1.98828 -1.45199 -0.32356 0.93682 1.81515 1.95324 1.29477 0.10828 -1.12237 -1.89531 -1.89531 -1.12237 0.10828 1.29477 1.95324 1.81515 0.93682 -0.32356 -1.45199 -1.98828 -1.71371 -0.74028 0.53506 1.59219 0.00000 ... ... ..... ....... ......... ........... ............. E10g 2.00000 1.50070 0.25210 -1.12237 -1.93645 -1.78365 -0.74028 0.67272 1.74982 1.95324 1.18141 -0.18031 -1.45199 -1.99870 -1.54745 -0.32356 1.06188 1.91713 1.81515 0.80687 -0.60428 -1.71371 -1.96749 -1.23890 0.10828 1.40139 1.99479 1.59219 0.39461 -1.00000 -1.89531 -1.84429 -0.87241 0.53506 1.67537 1.97917 1.29477 -0.03611 -1.34896 -1.98828 -1.63484 -0.46513 0.93682 1.87102 0.00000 2.00000 1.87102 0.93682 -0.46513 -1.63484 -1.98828 -1.34896 -0.03611 1.29477 1.97917 1.67537 0.53506 -0.87241 -1.84429 -1.89531 -1.00000 0.39461 1.59219 1.99479 1.40139 0.10828 -1.23890 -1.96749 -1.71371 -0.60428 0.80687 1.81515 1.91713 1.06188 -0.32356 -1.54745 -1.99870 -1.45199 -0.18031 1.18141 1.95324 1.74982 0.67272 -0.74028 -1.78365 -1.93645 -1.12237 0.25210 1.50070 0.00000 ... ... ..... ....... ......... ........... ............. E11g 2.00000 1.40139 -0.03611 -1.45199 -1.99870 -1.34896 0.10828 1.50070 1.99479 1.29477 -0.18031 -1.54745 -1.98828 -1.23890 0.25210 1.59219 1.97917 1.18141 -0.32356 -1.63484 -1.96749 -1.12237 0.39461 1.67537 1.95324 1.06188 -0.46513 -1.71371 -1.93645 -1.00000 0.53506 1.74982 1.91713 0.93682 -0.60428 -1.78365 -1.89531 -0.87241 0.67272 1.81515 1.87102 0.80687 -0.74028 -1.84429 0.00000 2.00000 -1.84429 -0.74028 0.80687 1.87102 1.81515 0.67272 -0.87241 -1.89531 -1.78365 -0.60428 0.93682 1.91713 1.74982 0.53506 -1.00000 -1.93645 -1.71371 -0.46513 1.06188 1.95324 1.67537 0.39461 -1.12237 -1.96749 -1.63484 -0.32356 1.18141 1.97917 1.59219 0.25210 -1.23890 -1.98828 -1.54745 -0.18031 1.29477 1.99479 1.50070 0.10828 -1.34896 -1.99870 -1.45199 -0.03611 1.40139 0.00000 ... ... ..... ....... ......... ........... ............. E12g 2.00000 1.29477 -0.32356 -1.71371 -1.89531 -0.74028 0.93682 1.95324 1.59219 0.10828 -1.45199 -1.98828 -1.12237 0.53506 1.81515 1.81515 0.53506 -1.12237 -1.98828 -1.45199 0.10828 1.59219 1.95324 0.93682 -0.74028 -1.89531 -1.71371 -0.32356 1.29477 2.00000 1.29477 -0.32356 -1.71371 -1.89531 -0.74028 0.93682 1.95324 1.59219 0.10828 -1.45199 -1.98828 -1.12237 0.53506 1.81515 0.00000 2.00000 1.81515 0.53506 -1.12237 -1.98828 -1.45199 0.10828 1.59219 1.95324 0.93682 -0.74028 -1.89531 -1.71371 -0.32356 1.29477 2.00000 1.29477 -0.32356 -1.71371 -1.89531 -0.74028 0.93682 1.95324 1.59219 0.10828 -1.45199 -1.98828 -1.12237 0.53506 1.81515 1.81515 0.53506 -1.12237 -1.98828 -1.45199 0.10828 1.59219 1.95324 0.93682 -0.74028 -1.89531 -1.71371 -0.32356 1.29477 0.00000 ... ... ..... ....... ......... ........... ............. E13g 2.00000 1.18141 -0.60428 -1.89531 -1.63484 -0.03611 1.59219 1.91713 0.67272 -1.12237 -1.99870 -1.23890 0.53506 1.87102 1.67537 0.10828 -1.54745 -1.93645 -0.74028 1.06188 1.99479 1.29477 -0.46513 -1.84429 -1.71371 -0.18031 1.50070 1.95324 0.80687 -1.00000 -1.98828 -1.34896 0.39461 1.81515 1.74982 0.25210 -1.45199 -1.96749 -0.87241 0.93682 1.97917 1.40139 -0.32356 -1.78365 0.00000 2.00000 -1.78365 -0.32356 1.40139 1.97917 0.93682 -0.87241 -1.96749 -1.45199 0.25210 1.74982 1.81515 0.39461 -1.34896 -1.98828 -1.00000 0.80687 1.95324 1.50070 -0.18031 -1.71371 -1.84429 -0.46513 1.29477 1.99479 1.06188 -0.74028 -1.93645 -1.54745 0.10828 1.67537 1.87102 0.53506 -1.23890 -1.99870 -1.12237 0.67272 1.91713 1.59219 -0.03611 -1.63484 -1.89531 -0.60428 1.18141 0.00000 ... ... ..... ....... ......... ........... ............. E14g 2.00000 1.06188 -0.87241 -1.98828 -1.23890 0.67272 1.95324 1.40139 -0.46513 -1.89531 -1.54745 0.25210 1.81515 1.67537 -0.03611 -1.71371 -1.78365 -0.18031 1.59219 1.87102 0.39461 -1.45199 -1.93645 -0.60428 1.29477 1.97917 0.80687 -1.12237 -1.99870 -1.00000 0.93682 1.99479 1.18141 -0.74028 -1.96749 -1.34896 0.53506 1.91713 1.50070 -0.32356 -1.84429 -1.63484 0.10828 1.74982 0.00000 2.00000 1.74982 0.10828 -1.63484 -1.84429 -0.32356 1.50070 1.91713 0.53506 -1.34896 -1.96749 -0.74028 1.18141 1.99479 0.93682 -1.00000 -1.99870 -1.12237 0.80687 1.97917 1.29477 -0.60428 -1.93645 -1.45199 0.39461 1.87102 1.59219 -0.18031 -1.78365 -1.71371 -0.03611 1.67537 1.81515 0.25210 -1.54745 -1.89531 -0.46513 1.40139 1.95324 0.67272 -1.23890 -1.98828 -0.87241 1.06188 0.00000 ... ... ..... ....... ......... ........... ............. E15g 2.00000 0.93682 -1.12237 -1.98828 -0.74028 1.29477 1.95324 0.53506 -1.45199 -1.89531 -0.32356 1.59219 1.81515 0.10828 -1.71371 -1.71371 0.10828 1.81515 1.59219 -0.32356 -1.89531 -1.45199 0.53506 1.95324 1.29477 -0.74028 -1.98828 -1.12237 0.93682 2.00000 0.93682 -1.12237 -1.98828 -0.74028 1.29477 1.95324 0.53506 -1.45199 -1.89531 -0.32356 1.59219 1.81515 0.10828 -1.71371 0.00000 2.00000 -1.71371 0.10828 1.81515 1.59219 -0.32356 -1.89531 -1.45199 0.53506 1.95324 1.29477 -0.74028 -1.98828 -1.12237 0.93682 2.00000 0.93682 -1.12237 -1.98828 -0.74028 1.29477 1.95324 0.53506 -1.45199 -1.89531 -0.32356 1.59219 1.81515 0.10828 -1.71371 -1.71371 0.10828 1.81515 1.59219 -0.32356 -1.89531 -1.45199 0.53506 1.95324 1.29477 -0.74028 -1.98828 -1.12237 0.93682 0.00000 ... ... ..... ....... ......... ........... ............. E16g 2.00000 0.80687 -1.34896 -1.89531 -0.18031 1.74982 1.59219 -0.46513 -1.96749 -1.12237 1.06188 1.97917 0.53506 -1.54745 -1.78365 0.10828 1.87102 1.40139 -0.74028 -1.99870 -0.87241 1.29477 1.91713 0.25210 -1.71371 -1.63484 0.39461 1.95324 1.18141 -1.00000 -1.98828 -0.60428 1.50070 1.81515 -0.03611 -1.84429 -1.45199 0.67272 1.99479 0.93682 -1.23890 -1.93645 -0.32356 1.67537 0.00000 2.00000 1.67537 -0.32356 -1.93645 -1.23890 0.93682 1.99479 0.67272 -1.45199 -1.84429 -0.03611 1.81515 1.50070 -0.60428 -1.98828 -1.00000 1.18141 1.95324 0.39461 -1.63484 -1.71371 0.25210 1.91713 1.29477 -0.87241 -1.99870 -0.74028 1.40139 1.87102 0.10828 -1.78365 -1.54745 0.53506 1.97917 1.06188 -1.12237 -1.96749 -0.46513 1.59219 1.74982 -0.18031 -1.89531 -1.34896 0.80687 0.00000 ... ... ..... ....... ......... ........... ............. E17g 2.00000 0.67272 -1.54745 -1.71371 0.39461 1.97917 0.93682 -1.34896 -1.84429 0.10828 1.91713 1.18141 -1.12237 -1.93645 -0.18031 1.81515 1.40139 -0.87241 -1.98828 -0.46513 1.67537 1.59219 -0.60428 -1.99870 -0.74028 1.50070 1.74982 -0.32356 -1.96749 -1.00000 1.29477 1.87102 -0.03611 -1.89531 -1.23890 1.06188 1.95324 0.25210 -1.78365 -1.45199 0.80687 1.99479 0.53506 -1.63484 0.00000 2.00000 -1.63484 0.53506 1.99479 0.80687 -1.45199 -1.78365 0.25210 1.95324 1.06188 -1.23890 -1.89531 -0.03611 1.87102 1.29477 -1.00000 -1.96749 -0.32356 1.74982 1.50070 -0.74028 -1.99870 -0.60428 1.59219 1.67537 -0.46513 -1.98828 -0.87241 1.40139 1.81515 -0.18031 -1.93645 -1.12237 1.18141 1.91713 0.10828 -1.84429 -1.34896 0.93682 1.97917 0.39461 -1.71371 -1.54745 0.67272 0.00000 ... ... ..... ....... ......... ........... ............. E18g 2.00000 0.53506 -1.71371 -1.45199 0.93682 1.95324 0.10828 -1.89531 -1.12237 1.29477 1.81515 -0.32356 -1.98828 -0.74028 1.59219 1.59219 -0.74028 -1.98828 -0.32356 1.81515 1.29477 -1.12237 -1.89531 0.10828 1.95324 0.93682 -1.45199 -1.71371 0.53506 2.00000 0.53506 -1.71371 -1.45199 0.93682 1.95324 0.10828 -1.89531 -1.12237 1.29477 1.81515 -0.32356 -1.98828 -0.74028 1.59219 0.00000 2.00000 1.59219 -0.74028 -1.98828 -0.32356 1.81515 1.29477 -1.12237 -1.89531 0.10828 1.95324 0.93682 -1.45199 -1.71371 0.53506 2.00000 0.53506 -1.71371 -1.45199 0.93682 1.95324 0.10828 -1.89531 -1.12237 1.29477 1.81515 -0.32356 -1.98828 -0.74028 1.59219 1.59219 -0.74028 -1.98828 -0.32356 1.81515 1.29477 -1.12237 -1.89531 0.10828 1.95324 0.93682 -1.45199 -1.71371 0.53506 0.00000 ... ... ..... ....... ......... ........... ............. E19g 2.00000 0.39461 -1.84429 -1.12237 1.40139 1.67537 -0.74028 -1.96749 -0.03611 1.95324 0.80687 -1.63484 -1.45199 1.06188 1.87102 -0.32356 -1.99870 -0.46513 1.81515 1.18141 -1.34896 -1.71371 0.67272 1.97917 0.10828 -1.93645 -0.87241 1.59219 1.50070 -1.00000 -1.89531 0.25210 1.99479 0.53506 -1.78365 -1.23890 1.29477 1.74982 -0.60428 -1.98828 -0.18031 1.91713 0.93682 -1.54745 0.00000 2.00000 -1.54745 0.93682 1.91713 -0.18031 -1.98828 -0.60428 1.74982 1.29477 -1.23890 -1.78365 0.53506 1.99479 0.25210 -1.89531 -1.00000 1.50070 1.59219 -0.87241 -1.93645 0.10828 1.97917 0.67272 -1.71371 -1.34896 1.18141 1.81515 -0.46513 -1.99870 -0.32356 1.87102 1.06188 -1.45199 -1.63484 0.80687 1.95324 -0.03611 -1.96749 -0.74028 1.67537 1.40139 -1.12237 -1.84429 0.39461 0.00000 ... ... ..... ....... ......... ........... ............. E20g 2.00000 0.25210 -1.93645 -0.74028 1.74982 1.18141 -1.45199 -1.54745 1.06188 1.81515 -0.60428 -1.96749 0.10828 1.99479 0.39461 -1.89531 -0.87241 1.67537 1.29477 -1.34896 -1.63484 0.93682 1.87102 -0.46513 -1.98828 -0.03611 1.97917 0.53506 -1.84429 -1.00000 1.59219 1.40139 -1.23890 -1.71371 0.80687 1.91713 -0.32356 -1.99870 -0.18031 1.95324 0.67272 -1.78365 -1.12237 1.50070 0.00000 2.00000 1.50070 -1.12237 -1.78365 0.67272 1.95324 -0.18031 -1.99870 -0.32356 1.91713 0.80687 -1.71371 -1.23890 1.40139 1.59219 -1.00000 -1.84429 0.53506 1.97917 -0.03611 -1.98828 -0.46513 1.87102 0.93682 -1.63484 -1.34896 1.29477 1.67537 -0.87241 -1.89531 0.39461 1.99479 0.10828 -1.96749 -0.60428 1.81515 1.06188 -1.54745 -1.45199 1.18141 1.74982 -0.74028 -1.93645 0.25210 0.00000 ... ... ..... ....... ......... ........... ............. E21g 2.00000 0.10828 -1.98828 -0.32356 1.95324 0.53506 -1.89531 -0.74028 1.81515 0.93682 -1.71371 -1.12237 1.59219 1.29477 -1.45199 -1.45199 1.29477 1.59219 -1.12237 -1.71371 0.93682 1.81515 -0.74028 -1.89531 0.53506 1.95324 -0.32356 -1.98828 0.10828 2.00000 0.10828 -1.98828 -0.32356 1.95324 0.53506 -1.89531 -0.74028 1.81515 0.93682 -1.71371 -1.12237 1.59219 1.29477 -1.45199 0.00000 2.00000 -1.45199 1.29477 1.59219 -1.12237 -1.71371 0.93682 1.81515 -0.74028 -1.89531 0.53506 1.95324 -0.32356 -1.98828 0.10828 2.00000 0.10828 -1.98828 -0.32356 1.95324 0.53506 -1.89531 -0.74028 1.81515 0.93682 -1.71371 -1.12237 1.59219 1.29477 -1.45199 -1.45199 1.29477 1.59219 -1.12237 -1.71371 0.93682 1.81515 -0.74028 -1.89531 0.53506 1.95324 -0.32356 -1.98828 0.10828 0.00000 ... ... ..... ....... ......... ........... ............. E22g 2.00000 -0.03611 -1.99870 0.10828 1.99479 -0.18031 -1.98828 0.25210 1.97917 -0.32356 -1.96749 0.39461 1.95324 -0.46513 -1.93645 0.53506 1.91713 -0.60428 -1.89531 0.67272 1.87102 -0.74028 -1.84429 0.80687 1.81515 -0.87241 -1.78365 0.93682 1.74982 -1.00000 -1.71371 1.06188 1.67537 -1.12237 -1.63484 1.18141 1.59219 -1.23890 -1.54745 1.29477 1.50070 -1.34896 -1.45199 1.40139 0.00000 2.00000 1.40139 -1.45199 -1.34896 1.50070 1.29477 -1.54745 -1.23890 1.59219 1.18141 -1.63484 -1.12237 1.67537 1.06188 -1.71371 -1.00000 1.74982 0.93682 -1.78365 -0.87241 1.81515 0.80687 -1.84429 -0.74028 1.87102 0.67272 -1.89531 -0.60428 1.91713 0.53506 -1.93645 -0.46513 1.95324 0.39461 -1.96749 -0.32356 1.97917 0.25210 -1.98828 -0.18031 1.99479 0.10828 -1.99870 -0.03611 0.00000 ... ... ..... ....... ......... ........... ............. E23g 2.00000 -0.18031 -1.96749 0.53506 1.87102 -0.87241 -1.71371 1.18141 1.50070 -1.45199 -1.23890 1.67537 0.93682 -1.84429 -0.60428 1.95324 0.25210 -1.99870 0.10828 1.97917 -0.46513 -1.89531 0.80687 1.74982 -1.12237 -1.54745 1.40139 1.29477 -1.63484 -1.00000 1.81515 0.67272 -1.93645 -0.32356 1.99479 -0.03611 -1.98828 0.39461 1.91713 -0.74028 -1.78365 1.06188 1.59219 -1.34896 0.00000 2.00000 -1.34896 1.59219 1.06188 -1.78365 -0.74028 1.91713 0.39461 -1.98828 -0.03611 1.99479 -0.32356 -1.93645 0.67272 1.81515 -1.00000 -1.63484 1.29477 1.40139 -1.54745 -1.12237 1.74982 0.80687 -1.89531 -0.46513 1.97917 0.10828 -1.99870 0.25210 1.95324 -0.60428 -1.84429 0.93682 1.67537 -1.23890 -1.45199 1.50070 1.18141 -1.71371 -0.87241 1.87102 0.53506 -1.96749 -0.18031 0.00000 ... ... ..... ....... ......... ........... ............. E24g 2.00000 -0.32356 -1.89531 0.93682 1.59219 -1.45199 -1.12237 1.81515 0.53506 -1.98828 0.10828 1.95324 -0.74028 -1.71371 1.29477 1.29477 -1.71371 -0.74028 1.95324 0.10828 -1.98828 0.53506 1.81515 -1.12237 -1.45199 1.59219 0.93682 -1.89531 -0.32356 2.00000 -0.32356 -1.89531 0.93682 1.59219 -1.45199 -1.12237 1.81515 0.53506 -1.98828 0.10828 1.95324 -0.74028 -1.71371 1.29477 0.00000 2.00000 1.29477 -1.71371 -0.74028 1.95324 0.10828 -1.98828 0.53506 1.81515 -1.12237 -1.45199 1.59219 0.93682 -1.89531 -0.32356 2.00000 -0.32356 -1.89531 0.93682 1.59219 -1.45199 -1.12237 1.81515 0.53506 -1.98828 0.10828 1.95324 -0.74028 -1.71371 1.29477 1.29477 -1.71371 -0.74028 1.95324 0.10828 -1.98828 0.53506 1.81515 -1.12237 -1.45199 1.59219 0.93682 -1.89531 -0.32356 0.00000 ... ... ..... ....... ......... ........... ............. E25g 2.00000 -0.46513 -1.78365 1.29477 1.18141 -1.84429 -0.32356 1.99479 -0.60428 -1.71371 1.40139 1.06188 -1.89531 -0.18031 1.97917 -0.74028 -1.63484 1.50070 0.93682 -1.93645 -0.03611 1.95324 -0.87241 -1.54745 1.59219 0.80687 -1.96749 0.10828 1.91713 -1.00000 -1.45199 1.67537 0.67272 -1.98828 0.25210 1.87102 -1.12237 -1.34896 1.74982 0.53506 -1.99870 0.39461 1.81515 -1.23890 0.00000 2.00000 -1.23890 1.81515 0.39461 -1.99870 0.53506 1.74982 -1.34896 -1.12237 1.87102 0.25210 -1.98828 0.67272 1.67537 -1.45199 -1.00000 1.91713 0.10828 -1.96749 0.80687 1.59219 -1.54745 -0.87241 1.95324 -0.03611 -1.93645 0.93682 1.50070 -1.63484 -0.74028 1.97917 -0.18031 -1.89531 1.06188 1.40139 -1.71371 -0.60428 1.99479 -0.32356 -1.84429 1.18141 1.29477 -1.78365 -0.46513 0.00000 ... ... ..... ....... ......... ........... ............. E26g 2.00000 -0.60428 -1.63484 1.59219 0.67272 -1.99870 0.53506 1.67537 -1.54745 -0.74028 1.99479 -0.46513 -1.71371 1.50070 0.80687 -1.98828 0.39461 1.74982 -1.45199 -0.87241 1.97917 -0.32356 -1.78365 1.40139 0.93682 -1.96749 0.25210 1.81515 -1.34896 -1.00000 1.95324 -0.18031 -1.84429 1.29477 1.06188 -1.93645 0.10828 1.87102 -1.23890 -1.12237 1.91713 -0.03611 -1.89531 1.18141 0.00000 2.00000 1.18141 -1.89531 -0.03611 1.91713 -1.12237 -1.23890 1.87102 0.10828 -1.93645 1.06188 1.29477 -1.84429 -0.18031 1.95324 -1.00000 -1.34896 1.81515 0.25210 -1.96749 0.93682 1.40139 -1.78365 -0.32356 1.97917 -0.87241 -1.45199 1.74982 0.39461 -1.98828 0.80687 1.50070 -1.71371 -0.46513 1.99479 -0.74028 -1.54745 1.67537 0.53506 -1.99870 0.67272 1.59219 -1.63484 -0.60428 0.00000 ... ... ..... ....... ......... ........... ............. E27g 2.00000 -0.74028 -1.45199 1.81515 0.10828 -1.89531 1.29477 0.93682 -1.98828 0.53506 1.59219 -1.71371 -0.32356 1.95324 -1.12237 -1.12237 1.95324 -0.32356 -1.71371 1.59219 0.53506 -1.98828 0.93682 1.29477 -1.89531 0.10828 1.81515 -1.45199 -0.74028 2.00000 -0.74028 -1.45199 1.81515 0.10828 -1.89531 1.29477 0.93682 -1.98828 0.53506 1.59219 -1.71371 -0.32356 1.95324 -1.12237 0.00000 2.00000 -1.12237 1.95324 -0.32356 -1.71371 1.59219 0.53506 -1.98828 0.93682 1.29477 -1.89531 0.10828 1.81515 -1.45199 -0.74028 2.00000 -0.74028 -1.45199 1.81515 0.10828 -1.89531 1.29477 0.93682 -1.98828 0.53506 1.59219 -1.71371 -0.32356 1.95324 -1.12237 -1.12237 1.95324 -0.32356 -1.71371 1.59219 0.53506 -1.98828 0.93682 1.29477 -1.89531 0.10828 1.81515 -1.45199 -0.74028 0.00000 ... ... ..... ....... ......... ........... ............. E28g 2.00000 -0.87241 -1.23890 1.95324 -0.46513 -1.54745 1.81515 -0.03611 -1.78365 1.59219 0.39461 -1.93645 1.29477 0.80687 -1.99870 0.93682 1.18141 -1.96749 0.53506 1.50070 -1.84429 0.10828 1.74982 -1.63484 -0.32356 1.91713 -1.34896 -0.74028 1.99479 -1.00000 -1.12237 1.97917 -0.60428 -1.45199 1.87102 -0.18031 -1.71371 1.67537 0.25210 -1.89531 1.40139 0.67272 -1.98828 1.06188 0.00000 2.00000 1.06188 -1.98828 0.67272 1.40139 -1.89531 0.25210 1.67537 -1.71371 -0.18031 1.87102 -1.45199 -0.60428 1.97917 -1.12237 -1.00000 1.99479 -0.74028 -1.34896 1.91713 -0.32356 -1.63484 1.74982 0.10828 -1.84429 1.50070 0.53506 -1.96749 1.18141 0.93682 -1.99870 0.80687 1.29477 -1.93645 0.39461 1.59219 -1.78365 -0.03611 1.81515 -1.54745 -0.46513 1.95324 -1.23890 -0.87241 0.00000 ... ... ..... ....... ......... ........... ............. E29g 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 0.00000 2.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 0.00000 ... ... ..... ....... ......... ........... ............. E30g 2.00000 -1.12237 -0.74028 1.95324 -1.45199 -0.32356 1.81515 -1.71371 0.10828 1.59219 -1.89531 0.53506 1.29477 -1.98828 0.93682 0.93682 -1.98828 1.29477 0.53506 -1.89531 1.59219 0.10828 -1.71371 1.81515 -0.32356 -1.45199 1.95324 -0.74028 -1.12237 2.00000 -1.12237 -0.74028 1.95324 -1.45199 -0.32356 1.81515 -1.71371 0.10828 1.59219 -1.89531 0.53506 1.29477 -1.98828 0.93682 0.00000 2.00000 0.93682 -1.98828 1.29477 0.53506 -1.89531 1.59219 0.10828 -1.71371 1.81515 -0.32356 -1.45199 1.95324 -0.74028 -1.12237 2.00000 -1.12237 -0.74028 1.95324 -1.45199 -0.32356 1.81515 -1.71371 0.10828 1.59219 -1.89531 0.53506 1.29477 -1.98828 0.93682 0.93682 -1.98828 1.29477 0.53506 -1.89531 1.59219 0.10828 -1.71371 1.81515 -0.32356 -1.45199 1.95324 -0.74028 -1.12237 0.00000 ... ... ..... ....... ......... ........... ............. E31g 2.00000 -1.23890 -0.46513 1.81515 -1.78365 0.39461 1.29477 -1.99870 1.18141 0.53506 -1.84429 1.74982 -0.32356 -1.34896 1.99479 -1.12237 -0.60428 1.87102 -1.71371 0.25210 1.40139 -1.98828 1.06188 0.67272 -1.89531 1.67537 -0.18031 -1.45199 1.97917 -1.00000 -0.74028 1.91713 -1.63484 0.10828 1.50070 -1.96749 0.93682 0.80687 -1.93645 1.59219 -0.03611 -1.54745 1.95324 -0.87241 0.00000 2.00000 -0.87241 1.95324 -1.54745 -0.03611 1.59219 -1.93645 0.80687 0.93682 -1.96749 1.50070 0.10828 -1.63484 1.91713 -0.74028 -1.00000 1.97917 -1.45199 -0.18031 1.67537 -1.89531 0.67272 1.06188 -1.98828 1.40139 0.25210 -1.71371 1.87102 -0.60428 -1.12237 1.99479 -1.34896 -0.32356 1.74982 -1.84429 0.53506 1.18141 -1.99870 1.29477 0.39461 -1.78365 1.81515 -0.46513 -1.23890 0.00000 ... ... ..... ....... ......... ........... ............. E32g 2.00000 -1.34896 -0.18031 1.59219 -1.96749 1.06188 0.53506 -1.78365 1.87102 -0.74028 -0.87241 1.91713 -1.71371 0.39461 1.18141 -1.98828 1.50070 -0.03611 -1.45199 1.99479 -1.23890 -0.32356 1.67537 -1.93645 0.93682 0.67272 -1.84429 1.81515 -0.60428 -1.00000 1.95324 -1.63484 0.25210 1.29477 -1.99870 1.40139 0.10828 -1.54745 1.97917 -1.12237 -0.46513 1.74982 -1.89531 0.80687 0.00000 2.00000 0.80687 -1.89531 1.74982 -0.46513 -1.12237 1.97917 -1.54745 0.10828 1.40139 -1.99870 1.29477 0.25210 -1.63484 1.95324 -1.00000 -0.60428 1.81515 -1.84429 0.67272 0.93682 -1.93645 1.67537 -0.32356 -1.23890 1.99479 -1.45199 -0.03611 1.50070 -1.98828 1.18141 0.39461 -1.71371 1.91713 -0.87241 -0.74028 1.87102 -1.78365 0.53506 1.06188 -1.96749 1.59219 -0.18031 -1.34896 0.00000 ... ... ..... ....... ......... ........... ............. E33g 2.00000 -1.45199 0.10828 1.29477 -1.98828 1.59219 -0.32356 -1.12237 1.95324 -1.71371 0.53506 0.93682 -1.89531 1.81515 -0.74028 -0.74028 1.81515 -1.89531 0.93682 0.53506 -1.71371 1.95324 -1.12237 -0.32356 1.59219 -1.98828 1.29477 0.10828 -1.45199 2.00000 -1.45199 0.10828 1.29477 -1.98828 1.59219 -0.32356 -1.12237 1.95324 -1.71371 0.53506 0.93682 -1.89531 1.81515 -0.74028 0.00000 2.00000 -0.74028 1.81515 -1.89531 0.93682 0.53506 -1.71371 1.95324 -1.12237 -0.32356 1.59219 -1.98828 1.29477 0.10828 -1.45199 2.00000 -1.45199 0.10828 1.29477 -1.98828 1.59219 -0.32356 -1.12237 1.95324 -1.71371 0.53506 0.93682 -1.89531 1.81515 -0.74028 -0.74028 1.81515 -1.89531 0.93682 0.53506 -1.71371 1.95324 -1.12237 -0.32356 1.59219 -1.98828 1.29477 0.10828 -1.45199 0.00000 ... ... ..... ....... ......... ........... ............. E34g 2.00000 -1.54745 0.39461 0.93682 -1.84429 1.91713 -1.12237 -0.18031 1.40139 -1.98828 1.67537 -0.60428 -0.74028 1.74982 -1.96749 1.29477 -0.03611 -1.23890 1.95324 -1.78365 0.80687 0.53506 -1.63484 1.99479 -1.45199 0.25210 1.06188 -1.89531 1.87102 -1.00000 -0.32356 1.50070 -1.99870 1.59219 -0.46513 -0.87241 1.81515 -1.93645 1.18141 0.10828 -1.34896 1.97917 -1.71371 0.67272 0.00000 2.00000 0.67272 -1.71371 1.97917 -1.34896 0.10828 1.18141 -1.93645 1.81515 -0.87241 -0.46513 1.59219 -1.99870 1.50070 -0.32356 -1.00000 1.87102 -1.89531 1.06188 0.25210 -1.45199 1.99479 -1.63484 0.53506 0.80687 -1.78365 1.95324 -1.23890 -0.03611 1.29477 -1.96749 1.74982 -0.74028 -0.60428 1.67537 -1.98828 1.40139 -0.18031 -1.12237 1.91713 -1.84429 0.93682 0.39461 -1.54745 0.00000 ... ... ..... ....... ......... ........... ............. E35g 2.00000 -1.63484 0.67272 0.53506 -1.54745 1.99479 -1.71371 0.80687 0.39461 -1.45199 1.97917 -1.78365 0.93682 0.25210 -1.34896 1.95324 -1.84429 1.06188 0.10828 -1.23890 1.91713 -1.89531 1.18141 -0.03611 -1.12237 1.87102 -1.93645 1.29477 -0.18031 -1.00000 1.81515 -1.96749 1.40139 -0.32356 -0.87241 1.74982 -1.98828 1.50070 -0.46513 -0.74028 1.67537 -1.99870 1.59219 -0.60428 0.00000 2.00000 -0.60428 1.59219 -1.99870 1.67537 -0.74028 -0.46513 1.50070 -1.98828 1.74982 -0.87241 -0.32356 1.40139 -1.96749 1.81515 -1.00000 -0.18031 1.29477 -1.93645 1.87102 -1.12237 -0.03611 1.18141 -1.89531 1.91713 -1.23890 0.10828 1.06188 -1.84429 1.95324 -1.34896 0.25210 0.93682 -1.78365 1.97917 -1.45199 0.39461 0.80687 -1.71371 1.99479 -1.54745 0.53506 0.67272 -1.63484 0.00000 ... ... ..... ....... ......... ........... ............. E36g 2.00000 -1.71371 0.93682 0.10828 -1.12237 1.81515 -1.98828 1.59219 -0.74028 -0.32356 1.29477 -1.89531 1.95324 -1.45199 0.53506 0.53506 -1.45199 1.95324 -1.89531 1.29477 -0.32356 -0.74028 1.59219 -1.98828 1.81515 -1.12237 0.10828 0.93682 -1.71371 2.00000 -1.71371 0.93682 0.10828 -1.12237 1.81515 -1.98828 1.59219 -0.74028 -0.32356 1.29477 -1.89531 1.95324 -1.45199 0.53506 0.00000 2.00000 0.53506 -1.45199 1.95324 -1.89531 1.29477 -0.32356 -0.74028 1.59219 -1.98828 1.81515 -1.12237 0.10828 0.93682 -1.71371 2.00000 -1.71371 0.93682 0.10828 -1.12237 1.81515 -1.98828 1.59219 -0.74028 -0.32356 1.29477 -1.89531 1.95324 -1.45199 0.53506 0.53506 -1.45199 1.95324 -1.89531 1.29477 -0.32356 -0.74028 1.59219 -1.98828 1.81515 -1.12237 0.10828 0.93682 -1.71371 0.00000 ... ... ..... ....... ......... ........... ............. E37g 2.00000 -1.78365 1.18141 -0.32356 -0.60428 1.40139 -1.89531 1.97917 -1.63484 0.93682 -0.03611 -0.87241 1.59219 -1.96749 1.91713 -1.45199 0.67272 0.25210 -1.12237 1.74982 -1.99870 1.81515 -1.23890 0.39461 0.53506 -1.34896 1.87102 -1.98828 1.67537 -1.00000 0.10828 0.80687 -1.54745 1.95324 -1.93645 1.50070 -0.74028 -0.18031 1.06188 -1.71371 1.99479 -1.84429 1.29477 -0.46513 0.00000 2.00000 -0.46513 1.29477 -1.84429 1.99479 -1.71371 1.06188 -0.18031 -0.74028 1.50070 -1.93645 1.95324 -1.54745 0.80687 0.10828 -1.00000 1.67537 -1.98828 1.87102 -1.34896 0.53506 0.39461 -1.23890 1.81515 -1.99870 1.74982 -1.12237 0.25210 0.67272 -1.45199 1.91713 -1.96749 1.59219 -0.87241 -0.03611 0.93682 -1.63484 1.97917 -1.89531 1.40139 -0.60428 -0.32356 1.18141 -1.78365 0.00000 ... ... ..... ....... ......... ........... ............. E38g 2.00000 -1.84429 1.40139 -0.74028 -0.03611 0.80687 -1.45199 1.87102 -1.99870 1.81515 -1.34896 0.67272 0.10828 -0.87241 1.50070 -1.89531 1.99479 -1.78365 1.29477 -0.60428 -0.18031 0.93682 -1.54745 1.91713 -1.98828 1.74982 -1.23890 0.53506 0.25210 -1.00000 1.59219 -1.93645 1.97917 -1.71371 1.18141 -0.46513 -0.32356 1.06188 -1.63484 1.95324 -1.96749 1.67537 -1.12237 0.39461 0.00000 2.00000 0.39461 -1.12237 1.67537 -1.96749 1.95324 -1.63484 1.06188 -0.32356 -0.46513 1.18141 -1.71371 1.97917 -1.93645 1.59219 -1.00000 0.25210 0.53506 -1.23890 1.74982 -1.98828 1.91713 -1.54745 0.93682 -0.18031 -0.60428 1.29477 -1.78365 1.99479 -1.89531 1.50070 -0.87241 0.10828 0.67272 -1.34896 1.81515 -1.99870 1.87102 -1.45199 0.80687 -0.03611 -0.74028 1.40139 -1.84429 0.00000 ... ... ..... ....... ......... ........... ............. E39g 2.00000 -1.89531 1.59219 -1.12237 0.53506 0.10828 -0.74028 1.29477 -1.71371 1.95324 -1.98828 1.81515 -1.45199 0.93682 -0.32356 -0.32356 0.93682 -1.45199 1.81515 -1.98828 1.95324 -1.71371 1.29477 -0.74028 0.10828 0.53506 -1.12237 1.59219 -1.89531 2.00000 -1.89531 1.59219 -1.12237 0.53506 0.10828 -0.74028 1.29477 -1.71371 1.95324 -1.98828 1.81515 -1.45199 0.93682 -0.32356 0.00000 2.00000 -0.32356 0.93682 -1.45199 1.81515 -1.98828 1.95324 -1.71371 1.29477 -0.74028 0.10828 0.53506 -1.12237 1.59219 -1.89531 2.00000 -1.89531 1.59219 -1.12237 0.53506 0.10828 -0.74028 1.29477 -1.71371 1.95324 -1.98828 1.81515 -1.45199 0.93682 -0.32356 -0.32356 0.93682 -1.45199 1.81515 -1.98828 1.95324 -1.71371 1.29477 -0.74028 0.10828 0.53506 -1.12237 1.59219 -1.89531 0.00000 ... ... ..... ....... ......... ........... ............. E40g 2.00000 -1.93645 1.74982 -1.45199 1.06188 -0.60428 0.10828 0.39461 -0.87241 1.29477 -1.63484 1.87102 -1.98828 1.97917 -1.84429 1.59219 -1.23890 0.80687 -0.32356 -0.18031 0.67272 -1.12237 1.50070 -1.78365 1.95324 -1.99870 1.91713 -1.71371 1.40139 -1.00000 0.53506 -0.03611 -0.46513 0.93682 -1.34896 1.67537 -1.89531 1.99479 -1.96749 1.81515 -1.54745 1.18141 -0.74028 0.25210 0.00000 2.00000 0.25210 -0.74028 1.18141 -1.54745 1.81515 -1.96749 1.99479 -1.89531 1.67537 -1.34896 0.93682 -0.46513 -0.03611 0.53506 -1.00000 1.40139 -1.71371 1.91713 -1.99870 1.95324 -1.78365 1.50070 -1.12237 0.67272 -0.18031 -0.32356 0.80687 -1.23890 1.59219 -1.84429 1.97917 -1.98828 1.87102 -1.63484 1.29477 -0.87241 0.39461 0.10828 -0.60428 1.06188 -1.45199 1.74982 -1.93645 0.00000 ... ... ..... ....... ......... ........... ............. E41g 2.00000 -1.96749 1.87102 -1.71371 1.50070 -1.23890 0.93682 -0.60428 0.25210 0.10828 -0.46513 0.80687 -1.12237 1.40139 -1.63484 1.81515 -1.93645 1.99479 -1.98828 1.91713 -1.78365 1.59219 -1.34896 1.06188 -0.74028 0.39461 -0.03611 -0.32356 0.67272 -1.00000 1.29477 -1.54745 1.74982 -1.89531 1.97917 -1.99870 1.95324 -1.84429 1.67537 -1.45199 1.18141 -0.87241 0.53506 -0.18031 0.00000 2.00000 -0.18031 0.53506 -0.87241 1.18141 -1.45199 1.67537 -1.84429 1.95324 -1.99870 1.97917 -1.89531 1.74982 -1.54745 1.29477 -1.00000 0.67272 -0.32356 -0.03611 0.39461 -0.74028 1.06188 -1.34896 1.59219 -1.78365 1.91713 -1.98828 1.99479 -1.93645 1.81515 -1.63484 1.40139 -1.12237 0.80687 -0.46513 0.10828 0.25210 -0.60428 0.93682 -1.23890 1.50070 -1.71371 1.87102 -1.96749 0.00000 ... ... ..... ....... ......... ........... ............. E42g 2.00000 -1.98828 1.95324 -1.89531 1.81515 -1.71371 1.59219 -1.45199 1.29477 -1.12237 0.93682 -0.74028 0.53506 -0.32356 0.10828 0.10828 -0.32356 0.53506 -0.74028 0.93682 -1.12237 1.29477 -1.45199 1.59219 -1.71371 1.81515 -1.89531 1.95324 -1.98828 2.00000 -1.98828 1.95324 -1.89531 1.81515 -1.71371 1.59219 -1.45199 1.29477 -1.12237 0.93682 -0.74028 0.53506 -0.32356 0.10828 0.00000 2.00000 0.10828 -0.32356 0.53506 -0.74028 0.93682 -1.12237 1.29477 -1.45199 1.59219 -1.71371 1.81515 -1.89531 1.95324 -1.98828 2.00000 -1.98828 1.95324 -1.89531 1.81515 -1.71371 1.59219 -1.45199 1.29477 -1.12237 0.93682 -0.74028 0.53506 -0.32356 0.10828 0.10828 -0.32356 0.53506 -0.74028 0.93682 -1.12237 1.29477 -1.45199 1.59219 -1.71371 1.81515 -1.89531 1.95324 -1.98828 0.00000 ... ... ..... ....... ......... ........... ............. E43g 2.00000 -1.99870 1.99479 -1.98828 1.97917 -1.96749 1.95324 -1.93645 1.91713 -1.89531 1.87102 -1.84429 1.81515 -1.78365 1.74982 -1.71371 1.67537 -1.63484 1.59219 -1.54745 1.50070 -1.45199 1.40139 -1.34896 1.29477 -1.23890 1.18141 -1.12237 1.06188 -1.00000 0.93682 -0.87241 0.80687 -0.74028 0.67272 -0.60428 0.53506 -0.46513 0.39461 -0.32356 0.25210 -0.18031 0.10828 -0.03611 0.00000 2.00000 -0.03611 0.10828 -0.18031 0.25210 -0.32356 0.39461 -0.46513 0.53506 -0.60428 0.67272 -0.74028 0.80687 -0.87241 0.93682 -1.00000 1.06188 -1.12237 1.18141 -1.23890 1.29477 -1.34896 1.40139 -1.45199 1.50070 -1.54745 1.59219 -1.63484 1.67537 -1.71371 1.74982 -1.78365 1.81515 -1.84429 1.87102 -1.89531 1.91713 -1.93645 1.95324 -1.96749 1.97917 -1.98828 1.99479 -1.99870 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 -1.00000 -1.00000 -1.00000 -1.00000 -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 -1.00000 -1.00000 -1.00000 -1.00000 -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 1.99479 1.97917 1.95324 1.91713 1.87102 1.81515 1.74982 1.67537 1.59219 1.50070 1.40139 1.29477 1.18141 1.06188 0.93682 0.80687 0.67272 0.53506 0.39461 0.25210 0.10828 -0.03611 -0.18031 -0.32356 -0.46513 -0.60428 -0.74028 -0.87241 -1.00000 -1.12237 -1.23890 -1.34896 -1.45199 -1.54745 -1.63484 -1.71371 -1.78365 -1.84429 -1.89531 -1.93645 -1.96749 -1.98828 -1.99870 0.00000 -2.00000 1.99870 1.98828 1.96749 1.93645 1.89531 1.84429 1.78365 1.71371 1.63484 1.54745 1.45199 1.34896 1.23890 1.12237 1.00000 0.87241 0.74028 0.60428 0.46513 0.32356 0.18031 0.03611 -0.10828 -0.25210 -0.39461 -0.53506 -0.67272 -0.80687 -0.93682 -1.06188 -1.18141 -1.29477 -1.40139 -1.50070 -1.59219 -1.67537 -1.74982 -1.81515 -1.87102 -1.91713 -1.95324 -1.97917 -1.99479 0.00000 ... TT. ..... ....TT. ......... ........TT. ............. E2u 2.00000 1.97917 1.91713 1.81515 1.67537 1.50070 1.29477 1.06188 0.80687 0.53506 0.25210 -0.03611 -0.32356 -0.60428 -0.87241 -1.12237 -1.34896 -1.54745 -1.71371 -1.84429 -1.93645 -1.98828 -1.99870 -1.96749 -1.89531 -1.78365 -1.63484 -1.45199 -1.23890 -1.00000 -0.74028 -0.46513 -0.18031 0.10828 0.39461 0.67272 0.93682 1.18141 1.40139 1.59219 1.74982 1.87102 1.95324 1.99479 0.00000 -2.00000 -1.99479 -1.95324 -1.87102 -1.74982 -1.59219 -1.40139 -1.18141 -0.93682 -0.67272 -0.39461 -0.10828 0.18031 0.46513 0.74028 1.00000 1.23890 1.45199 1.63484 1.78365 1.89531 1.96749 1.99870 1.98828 1.93645 1.84429 1.71371 1.54745 1.34896 1.12237 0.87241 0.60428 0.32356 0.03611 -0.25210 -0.53506 -0.80687 -1.06188 -1.29477 -1.50070 -1.67537 -1.81515 -1.91713 -1.97917 0.00000 ... ... ..... ..TT... ......... ......TT... ............. E3u 2.00000 1.95324 1.81515 1.59219 1.29477 0.93682 0.53506 0.10828 -0.32356 -0.74028 -1.12237 -1.45199 -1.71371 -1.89531 -1.98828 -1.98828 -1.89531 -1.71371 -1.45199 -1.12237 -0.74028 -0.32356 0.10828 0.53506 0.93682 1.29477 1.59219 1.81515 1.95324 2.00000 1.95324 1.81515 1.59219 1.29477 0.93682 0.53506 0.10828 -0.32356 -0.74028 -1.12237 -1.45199 -1.71371 -1.89531 -1.98828 0.00000 -2.00000 1.98828 1.89531 1.71371 1.45199 1.12237 0.74028 0.32356 -0.10828 -0.53506 -0.93682 -1.29477 -1.59219 -1.81515 -1.95324 -2.00000 -1.95324 -1.81515 -1.59219 -1.29477 -0.93682 -0.53506 -0.10828 0.32356 0.74028 1.12237 1.45199 1.71371 1.89531 1.98828 1.98828 1.89531 1.71371 1.45199 1.12237 0.74028 0.32356 -0.10828 -0.53506 -0.93682 -1.29477 -1.59219 -1.81515 -1.95324 0.00000 ... ... ..... TT..... ......... ....TT..... ............. E4u 2.00000 1.91713 1.67537 1.29477 0.80687 0.25210 -0.32356 -0.87241 -1.34896 -1.71371 -1.93645 -1.99870 -1.89531 -1.63484 -1.23890 -0.74028 -0.18031 0.39461 0.93682 1.40139 1.74982 1.95324 1.99479 1.87102 1.59219 1.18141 0.67272 0.10828 -0.46513 -1.00000 -1.45199 -1.78365 -1.96749 -1.98828 -1.84429 -1.54745 -1.12237 -0.60428 -0.03611 0.53506 1.06188 1.50070 1.81515 1.97917 0.00000 -2.00000 -1.97917 -1.81515 -1.50070 -1.06188 -0.53506 0.03611 0.60428 1.12237 1.54745 1.84429 1.98828 1.96749 1.78365 1.45199 1.00000 0.46513 -0.10828 -0.67272 -1.18141 -1.59219 -1.87102 -1.99479 -1.95324 -1.74982 -1.40139 -0.93682 -0.39461 0.18031 0.74028 1.23890 1.63484 1.89531 1.99870 1.93645 1.71371 1.34896 0.87241 0.32356 -0.25210 -0.80687 -1.29477 -1.67537 -1.91713 0.00000 ... ... ..... ....... ......... ..TT....... ............. E5u 2.00000 1.87102 1.50070 0.93682 0.25210 -0.46513 -1.12237 -1.63484 -1.93645 -1.98828 -1.78365 -1.34896 -0.74028 -0.03611 0.67272 1.29477 1.74982 1.97917 1.95324 1.67537 1.18141 0.53506 -0.18031 -0.87241 -1.45199 -1.84429 -1.99870 -1.89531 -1.54745 -1.00000 -0.32356 0.39461 1.06188 1.59219 1.91713 1.99479 1.81515 1.40139 0.80687 0.10828 -0.60428 -1.23890 -1.71371 -1.96749 0.00000 -2.00000 1.96749 1.71371 1.23890 0.60428 -0.10828 -0.80687 -1.40139 -1.81515 -1.99479 -1.91713 -1.59219 -1.06188 -0.39461 0.32356 1.00000 1.54745 1.89531 1.99870 1.84429 1.45199 0.87241 0.18031 -0.53506 -1.18141 -1.67537 -1.95324 -1.97917 -1.74982 -1.29477 -0.67272 0.03611 0.74028 1.34896 1.78365 1.98828 1.93645 1.63484 1.12237 0.46513 -0.25210 -0.93682 -1.50070 -1.87102 0.00000 ... ... ..... ....... ......... TT......... ............. E6u 2.00000 1.81515 1.29477 0.53506 -0.32356 -1.12237 -1.71371 -1.98828 -1.89531 -1.45199 -0.74028 0.10828 0.93682 1.59219 1.95324 1.95324 1.59219 0.93682 0.10828 -0.74028 -1.45199 -1.89531 -1.98828 -1.71371 -1.12237 -0.32356 0.53506 1.29477 1.81515 2.00000 1.81515 1.29477 0.53506 -0.32356 -1.12237 -1.71371 -1.98828 -1.89531 -1.45199 -0.74028 0.10828 0.93682 1.59219 1.95324 0.00000 -2.00000 -1.95324 -1.59219 -0.93682 -0.10828 0.74028 1.45199 1.89531 1.98828 1.71371 1.12237 0.32356 -0.53506 -1.29477 -1.81515 -2.00000 -1.81515 -1.29477 -0.53506 0.32356 1.12237 1.71371 1.98828 1.89531 1.45199 0.74028 -0.10828 -0.93682 -1.59219 -1.95324 -1.95324 -1.59219 -0.93682 -0.10828 0.74028 1.45199 1.89531 1.98828 1.71371 1.12237 0.32356 -0.53506 -1.29477 -1.81515 0.00000 ... ... ..... ....... ......... ........... ............. E7u 2.00000 1.74982 1.06188 0.10828 -0.87241 -1.63484 -1.98828 -1.84429 -1.23890 -0.32356 0.67272 1.50070 1.95324 1.91713 1.40139 0.53506 -0.46513 -1.34896 -1.89531 -1.96749 -1.54745 -0.74028 0.25210 1.18141 1.81515 1.99479 1.67537 0.93682 -0.03611 -1.00000 -1.71371 -1.99870 -1.78365 -1.12237 -0.18031 0.80687 1.59219 1.97917 1.87102 1.29477 0.39461 -0.60428 -1.45199 -1.93645 0.00000 -2.00000 1.93645 1.45199 0.60428 -0.39461 -1.29477 -1.87102 -1.97917 -1.59219 -0.80687 0.18031 1.12237 1.78365 1.99870 1.71371 1.00000 0.03611 -0.93682 -1.67537 -1.99479 -1.81515 -1.18141 -0.25210 0.74028 1.54745 1.96749 1.89531 1.34896 0.46513 -0.53506 -1.40139 -1.91713 -1.95324 -1.50070 -0.67272 0.32356 1.23890 1.84429 1.98828 1.63484 0.87241 -0.10828 -1.06188 -1.74982 0.00000 ... ... ..... ....... ......... ........... ............. E8u 2.00000 1.67537 0.80687 -0.32356 -1.34896 -1.93645 -1.89531 -1.23890 -0.18031 0.93682 1.74982 1.99479 1.59219 0.67272 -0.46513 -1.45199 -1.96749 -1.84429 -1.12237 -0.03611 1.06188 1.81515 1.97917 1.50070 0.53506 -0.60428 -1.54745 -1.98828 -1.78365 -1.00000 0.10828 1.18141 1.87102 1.95324 1.40139 0.39461 -0.74028 -1.63484 -1.99870 -1.71371 -0.87241 0.25210 1.29477 1.91713 0.00000 -2.00000 -1.91713 -1.29477 -0.25210 0.87241 1.71371 1.99870 1.63484 0.74028 -0.39461 -1.40139 -1.95324 -1.87102 -1.18141 -0.10828 1.00000 1.78365 1.98828 1.54745 0.60428 -0.53506 -1.50070 -1.97917 -1.81515 -1.06188 0.03611 1.12237 1.84429 1.96749 1.45199 0.46513 -0.67272 -1.59219 -1.99479 -1.74982 -0.93682 0.18031 1.23890 1.89531 1.93645 1.34896 0.32356 -0.80687 -1.67537 0.00000 ... ... ..... ....... ......... ........... ............. E9u 2.00000 1.59219 0.53506 -0.74028 -1.71371 -1.98828 -1.45199 -0.32356 0.93682 1.81515 1.95324 1.29477 0.10828 -1.12237 -1.89531 -1.89531 -1.12237 0.10828 1.29477 1.95324 1.81515 0.93682 -0.32356 -1.45199 -1.98828 -1.71371 -0.74028 0.53506 1.59219 2.00000 1.59219 0.53506 -0.74028 -1.71371 -1.98828 -1.45199 -0.32356 0.93682 1.81515 1.95324 1.29477 0.10828 -1.12237 -1.89531 0.00000 -2.00000 1.89531 1.12237 -0.10828 -1.29477 -1.95324 -1.81515 -0.93682 0.32356 1.45199 1.98828 1.71371 0.74028 -0.53506 -1.59219 -2.00000 -1.59219 -0.53506 0.74028 1.71371 1.98828 1.45199 0.32356 -0.93682 -1.81515 -1.95324 -1.29477 -0.10828 1.12237 1.89531 1.89531 1.12237 -0.10828 -1.29477 -1.95324 -1.81515 -0.93682 0.32356 1.45199 1.98828 1.71371 0.74028 -0.53506 -1.59219 0.00000 ... ... ..... ....... ......... ........... ............. E10u 2.00000 1.50070 0.25210 -1.12237 -1.93645 -1.78365 -0.74028 0.67272 1.74982 1.95324 1.18141 -0.18031 -1.45199 -1.99870 -1.54745 -0.32356 1.06188 1.91713 1.81515 0.80687 -0.60428 -1.71371 -1.96749 -1.23890 0.10828 1.40139 1.99479 1.59219 0.39461 -1.00000 -1.89531 -1.84429 -0.87241 0.53506 1.67537 1.97917 1.29477 -0.03611 -1.34896 -1.98828 -1.63484 -0.46513 0.93682 1.87102 0.00000 -2.00000 -1.87102 -0.93682 0.46513 1.63484 1.98828 1.34896 0.03611 -1.29477 -1.97917 -1.67537 -0.53506 0.87241 1.84429 1.89531 1.00000 -0.39461 -1.59219 -1.99479 -1.40139 -0.10828 1.23890 1.96749 1.71371 0.60428 -0.80687 -1.81515 -1.91713 -1.06188 0.32356 1.54745 1.99870 1.45199 0.18031 -1.18141 -1.95324 -1.74982 -0.67272 0.74028 1.78365 1.93645 1.12237 -0.25210 -1.50070 0.00000 ... ... ..... ....... ......... ........... ............. E11u 2.00000 1.40139 -0.03611 -1.45199 -1.99870 -1.34896 0.10828 1.50070 1.99479 1.29477 -0.18031 -1.54745 -1.98828 -1.23890 0.25210 1.59219 1.97917 1.18141 -0.32356 -1.63484 -1.96749 -1.12237 0.39461 1.67537 1.95324 1.06188 -0.46513 -1.71371 -1.93645 -1.00000 0.53506 1.74982 1.91713 0.93682 -0.60428 -1.78365 -1.89531 -0.87241 0.67272 1.81515 1.87102 0.80687 -0.74028 -1.84429 0.00000 -2.00000 1.84429 0.74028 -0.80687 -1.87102 -1.81515 -0.67272 0.87241 1.89531 1.78365 0.60428 -0.93682 -1.91713 -1.74982 -0.53506 1.00000 1.93645 1.71371 0.46513 -1.06188 -1.95324 -1.67537 -0.39461 1.12237 1.96749 1.63484 0.32356 -1.18141 -1.97917 -1.59219 -0.25210 1.23890 1.98828 1.54745 0.18031 -1.29477 -1.99479 -1.50070 -0.10828 1.34896 1.99870 1.45199 0.03611 -1.40139 0.00000 ... ... ..... ....... ......... ........... ............. E12u 2.00000 1.29477 -0.32356 -1.71371 -1.89531 -0.74028 0.93682 1.95324 1.59219 0.10828 -1.45199 -1.98828 -1.12237 0.53506 1.81515 1.81515 0.53506 -1.12237 -1.98828 -1.45199 0.10828 1.59219 1.95324 0.93682 -0.74028 -1.89531 -1.71371 -0.32356 1.29477 2.00000 1.29477 -0.32356 -1.71371 -1.89531 -0.74028 0.93682 1.95324 1.59219 0.10828 -1.45199 -1.98828 -1.12237 0.53506 1.81515 0.00000 -2.00000 -1.81515 -0.53506 1.12237 1.98828 1.45199 -0.10828 -1.59219 -1.95324 -0.93682 0.74028 1.89531 1.71371 0.32356 -1.29477 -2.00000 -1.29477 0.32356 1.71371 1.89531 0.74028 -0.93682 -1.95324 -1.59219 -0.10828 1.45199 1.98828 1.12237 -0.53506 -1.81515 -1.81515 -0.53506 1.12237 1.98828 1.45199 -0.10828 -1.59219 -1.95324 -0.93682 0.74028 1.89531 1.71371 0.32356 -1.29477 0.00000 ... ... ..... ....... ......... ........... ............. E13u 2.00000 1.18141 -0.60428 -1.89531 -1.63484 -0.03611 1.59219 1.91713 0.67272 -1.12237 -1.99870 -1.23890 0.53506 1.87102 1.67537 0.10828 -1.54745 -1.93645 -0.74028 1.06188 1.99479 1.29477 -0.46513 -1.84429 -1.71371 -0.18031 1.50070 1.95324 0.80687 -1.00000 -1.98828 -1.34896 0.39461 1.81515 1.74982 0.25210 -1.45199 -1.96749 -0.87241 0.93682 1.97917 1.40139 -0.32356 -1.78365 0.00000 -2.00000 1.78365 0.32356 -1.40139 -1.97917 -0.93682 0.87241 1.96749 1.45199 -0.25210 -1.74982 -1.81515 -0.39461 1.34896 1.98828 1.00000 -0.80687 -1.95324 -1.50070 0.18031 1.71371 1.84429 0.46513 -1.29477 -1.99479 -1.06188 0.74028 1.93645 1.54745 -0.10828 -1.67537 -1.87102 -0.53506 1.23890 1.99870 1.12237 -0.67272 -1.91713 -1.59219 0.03611 1.63484 1.89531 0.60428 -1.18141 0.00000 ... ... ..... ....... ......... ........... ............. E14u 2.00000 1.06188 -0.87241 -1.98828 -1.23890 0.67272 1.95324 1.40139 -0.46513 -1.89531 -1.54745 0.25210 1.81515 1.67537 -0.03611 -1.71371 -1.78365 -0.18031 1.59219 1.87102 0.39461 -1.45199 -1.93645 -0.60428 1.29477 1.97917 0.80687 -1.12237 -1.99870 -1.00000 0.93682 1.99479 1.18141 -0.74028 -1.96749 -1.34896 0.53506 1.91713 1.50070 -0.32356 -1.84429 -1.63484 0.10828 1.74982 0.00000 -2.00000 -1.74982 -0.10828 1.63484 1.84429 0.32356 -1.50070 -1.91713 -0.53506 1.34896 1.96749 0.74028 -1.18141 -1.99479 -0.93682 1.00000 1.99870 1.12237 -0.80687 -1.97917 -1.29477 0.60428 1.93645 1.45199 -0.39461 -1.87102 -1.59219 0.18031 1.78365 1.71371 0.03611 -1.67537 -1.81515 -0.25210 1.54745 1.89531 0.46513 -1.40139 -1.95324 -0.67272 1.23890 1.98828 0.87241 -1.06188 0.00000 ... ... ..... ....... ......... ........... ............. E15u 2.00000 0.93682 -1.12237 -1.98828 -0.74028 1.29477 1.95324 0.53506 -1.45199 -1.89531 -0.32356 1.59219 1.81515 0.10828 -1.71371 -1.71371 0.10828 1.81515 1.59219 -0.32356 -1.89531 -1.45199 0.53506 1.95324 1.29477 -0.74028 -1.98828 -1.12237 0.93682 2.00000 0.93682 -1.12237 -1.98828 -0.74028 1.29477 1.95324 0.53506 -1.45199 -1.89531 -0.32356 1.59219 1.81515 0.10828 -1.71371 0.00000 -2.00000 1.71371 -0.10828 -1.81515 -1.59219 0.32356 1.89531 1.45199 -0.53506 -1.95324 -1.29477 0.74028 1.98828 1.12237 -0.93682 -2.00000 -0.93682 1.12237 1.98828 0.74028 -1.29477 -1.95324 -0.53506 1.45199 1.89531 0.32356 -1.59219 -1.81515 -0.10828 1.71371 1.71371 -0.10828 -1.81515 -1.59219 0.32356 1.89531 1.45199 -0.53506 -1.95324 -1.29477 0.74028 1.98828 1.12237 -0.93682 0.00000 ... ... ..... ....... ......... ........... ............. E16u 2.00000 0.80687 -1.34896 -1.89531 -0.18031 1.74982 1.59219 -0.46513 -1.96749 -1.12237 1.06188 1.97917 0.53506 -1.54745 -1.78365 0.10828 1.87102 1.40139 -0.74028 -1.99870 -0.87241 1.29477 1.91713 0.25210 -1.71371 -1.63484 0.39461 1.95324 1.18141 -1.00000 -1.98828 -0.60428 1.50070 1.81515 -0.03611 -1.84429 -1.45199 0.67272 1.99479 0.93682 -1.23890 -1.93645 -0.32356 1.67537 0.00000 -2.00000 -1.67537 0.32356 1.93645 1.23890 -0.93682 -1.99479 -0.67272 1.45199 1.84429 0.03611 -1.81515 -1.50070 0.60428 1.98828 1.00000 -1.18141 -1.95324 -0.39461 1.63484 1.71371 -0.25210 -1.91713 -1.29477 0.87241 1.99870 0.74028 -1.40139 -1.87102 -0.10828 1.78365 1.54745 -0.53506 -1.97917 -1.06188 1.12237 1.96749 0.46513 -1.59219 -1.74982 0.18031 1.89531 1.34896 -0.80687 0.00000 ... ... ..... ....... ......... ........... ............. E17u 2.00000 0.67272 -1.54745 -1.71371 0.39461 1.97917 0.93682 -1.34896 -1.84429 0.10828 1.91713 1.18141 -1.12237 -1.93645 -0.18031 1.81515 1.40139 -0.87241 -1.98828 -0.46513 1.67537 1.59219 -0.60428 -1.99870 -0.74028 1.50070 1.74982 -0.32356 -1.96749 -1.00000 1.29477 1.87102 -0.03611 -1.89531 -1.23890 1.06188 1.95324 0.25210 -1.78365 -1.45199 0.80687 1.99479 0.53506 -1.63484 0.00000 -2.00000 1.63484 -0.53506 -1.99479 -0.80687 1.45199 1.78365 -0.25210 -1.95324 -1.06188 1.23890 1.89531 0.03611 -1.87102 -1.29477 1.00000 1.96749 0.32356 -1.74982 -1.50070 0.74028 1.99870 0.60428 -1.59219 -1.67537 0.46513 1.98828 0.87241 -1.40139 -1.81515 0.18031 1.93645 1.12237 -1.18141 -1.91713 -0.10828 1.84429 1.34896 -0.93682 -1.97917 -0.39461 1.71371 1.54745 -0.67272 0.00000 ... ... ..... ....... ......... ........... ............. E18u 2.00000 0.53506 -1.71371 -1.45199 0.93682 1.95324 0.10828 -1.89531 -1.12237 1.29477 1.81515 -0.32356 -1.98828 -0.74028 1.59219 1.59219 -0.74028 -1.98828 -0.32356 1.81515 1.29477 -1.12237 -1.89531 0.10828 1.95324 0.93682 -1.45199 -1.71371 0.53506 2.00000 0.53506 -1.71371 -1.45199 0.93682 1.95324 0.10828 -1.89531 -1.12237 1.29477 1.81515 -0.32356 -1.98828 -0.74028 1.59219 0.00000 -2.00000 -1.59219 0.74028 1.98828 0.32356 -1.81515 -1.29477 1.12237 1.89531 -0.10828 -1.95324 -0.93682 1.45199 1.71371 -0.53506 -2.00000 -0.53506 1.71371 1.45199 -0.93682 -1.95324 -0.10828 1.89531 1.12237 -1.29477 -1.81515 0.32356 1.98828 0.74028 -1.59219 -1.59219 0.74028 1.98828 0.32356 -1.81515 -1.29477 1.12237 1.89531 -0.10828 -1.95324 -0.93682 1.45199 1.71371 -0.53506 0.00000 ... ... ..... ....... ......... ........... ............. E19u 2.00000 0.39461 -1.84429 -1.12237 1.40139 1.67537 -0.74028 -1.96749 -0.03611 1.95324 0.80687 -1.63484 -1.45199 1.06188 1.87102 -0.32356 -1.99870 -0.46513 1.81515 1.18141 -1.34896 -1.71371 0.67272 1.97917 0.10828 -1.93645 -0.87241 1.59219 1.50070 -1.00000 -1.89531 0.25210 1.99479 0.53506 -1.78365 -1.23890 1.29477 1.74982 -0.60428 -1.98828 -0.18031 1.91713 0.93682 -1.54745 0.00000 -2.00000 1.54745 -0.93682 -1.91713 0.18031 1.98828 0.60428 -1.74982 -1.29477 1.23890 1.78365 -0.53506 -1.99479 -0.25210 1.89531 1.00000 -1.50070 -1.59219 0.87241 1.93645 -0.10828 -1.97917 -0.67272 1.71371 1.34896 -1.18141 -1.81515 0.46513 1.99870 0.32356 -1.87102 -1.06188 1.45199 1.63484 -0.80687 -1.95324 0.03611 1.96749 0.74028 -1.67537 -1.40139 1.12237 1.84429 -0.39461 0.00000 ... ... ..... ....... ......... ........... ............. 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E21u 2.00000 0.10828 -1.98828 -0.32356 1.95324 0.53506 -1.89531 -0.74028 1.81515 0.93682 -1.71371 -1.12237 1.59219 1.29477 -1.45199 -1.45199 1.29477 1.59219 -1.12237 -1.71371 0.93682 1.81515 -0.74028 -1.89531 0.53506 1.95324 -0.32356 -1.98828 0.10828 2.00000 0.10828 -1.98828 -0.32356 1.95324 0.53506 -1.89531 -0.74028 1.81515 0.93682 -1.71371 -1.12237 1.59219 1.29477 -1.45199 0.00000 -2.00000 1.45199 -1.29477 -1.59219 1.12237 1.71371 -0.93682 -1.81515 0.74028 1.89531 -0.53506 -1.95324 0.32356 1.98828 -0.10828 -2.00000 -0.10828 1.98828 0.32356 -1.95324 -0.53506 1.89531 0.74028 -1.81515 -0.93682 1.71371 1.12237 -1.59219 -1.29477 1.45199 1.45199 -1.29477 -1.59219 1.12237 1.71371 -0.93682 -1.81515 0.74028 1.89531 -0.53506 -1.95324 0.32356 1.98828 -0.10828 0.00000 ... ... ..... ....... ......... ........... ............. E22u 2.00000 -0.03611 -1.99870 0.10828 1.99479 -0.18031 -1.98828 0.25210 1.97917 -0.32356 -1.96749 0.39461 1.95324 -0.46513 -1.93645 0.53506 1.91713 -0.60428 -1.89531 0.67272 1.87102 -0.74028 -1.84429 0.80687 1.81515 -0.87241 -1.78365 0.93682 1.74982 -1.00000 -1.71371 1.06188 1.67537 -1.12237 -1.63484 1.18141 1.59219 -1.23890 -1.54745 1.29477 1.50070 -1.34896 -1.45199 1.40139 0.00000 -2.00000 -1.40139 1.45199 1.34896 -1.50070 -1.29477 1.54745 1.23890 -1.59219 -1.18141 1.63484 1.12237 -1.67537 -1.06188 1.71371 1.00000 -1.74982 -0.93682 1.78365 0.87241 -1.81515 -0.80687 1.84429 0.74028 -1.87102 -0.67272 1.89531 0.60428 -1.91713 -0.53506 1.93645 0.46513 -1.95324 -0.39461 1.96749 0.32356 -1.97917 -0.25210 1.98828 0.18031 -1.99479 -0.10828 1.99870 0.03611 0.00000 ... ... ..... ....... ......... ........... ............. E23u 2.00000 -0.18031 -1.96749 0.53506 1.87102 -0.87241 -1.71371 1.18141 1.50070 -1.45199 -1.23890 1.67537 0.93682 -1.84429 -0.60428 1.95324 0.25210 -1.99870 0.10828 1.97917 -0.46513 -1.89531 0.80687 1.74982 -1.12237 -1.54745 1.40139 1.29477 -1.63484 -1.00000 1.81515 0.67272 -1.93645 -0.32356 1.99479 -0.03611 -1.98828 0.39461 1.91713 -0.74028 -1.78365 1.06188 1.59219 -1.34896 0.00000 -2.00000 1.34896 -1.59219 -1.06188 1.78365 0.74028 -1.91713 -0.39461 1.98828 0.03611 -1.99479 0.32356 1.93645 -0.67272 -1.81515 1.00000 1.63484 -1.29477 -1.40139 1.54745 1.12237 -1.74982 -0.80687 1.89531 0.46513 -1.97917 -0.10828 1.99870 -0.25210 -1.95324 0.60428 1.84429 -0.93682 -1.67537 1.23890 1.45199 -1.50070 -1.18141 1.71371 0.87241 -1.87102 -0.53506 1.96749 0.18031 0.00000 ... ... ..... ....... ......... ........... ............. E24u 2.00000 -0.32356 -1.89531 0.93682 1.59219 -1.45199 -1.12237 1.81515 0.53506 -1.98828 0.10828 1.95324 -0.74028 -1.71371 1.29477 1.29477 -1.71371 -0.74028 1.95324 0.10828 -1.98828 0.53506 1.81515 -1.12237 -1.45199 1.59219 0.93682 -1.89531 -0.32356 2.00000 -0.32356 -1.89531 0.93682 1.59219 -1.45199 -1.12237 1.81515 0.53506 -1.98828 0.10828 1.95324 -0.74028 -1.71371 1.29477 0.00000 -2.00000 -1.29477 1.71371 0.74028 -1.95324 -0.10828 1.98828 -0.53506 -1.81515 1.12237 1.45199 -1.59219 -0.93682 1.89531 0.32356 -2.00000 0.32356 1.89531 -0.93682 -1.59219 1.45199 1.12237 -1.81515 -0.53506 1.98828 -0.10828 -1.95324 0.74028 1.71371 -1.29477 -1.29477 1.71371 0.74028 -1.95324 -0.10828 1.98828 -0.53506 -1.81515 1.12237 1.45199 -1.59219 -0.93682 1.89531 0.32356 0.00000 ... ... ..... ....... ......... ........... ............. E25u 2.00000 -0.46513 -1.78365 1.29477 1.18141 -1.84429 -0.32356 1.99479 -0.60428 -1.71371 1.40139 1.06188 -1.89531 -0.18031 1.97917 -0.74028 -1.63484 1.50070 0.93682 -1.93645 -0.03611 1.95324 -0.87241 -1.54745 1.59219 0.80687 -1.96749 0.10828 1.91713 -1.00000 -1.45199 1.67537 0.67272 -1.98828 0.25210 1.87102 -1.12237 -1.34896 1.74982 0.53506 -1.99870 0.39461 1.81515 -1.23890 0.00000 -2.00000 1.23890 -1.81515 -0.39461 1.99870 -0.53506 -1.74982 1.34896 1.12237 -1.87102 -0.25210 1.98828 -0.67272 -1.67537 1.45199 1.00000 -1.91713 -0.10828 1.96749 -0.80687 -1.59219 1.54745 0.87241 -1.95324 0.03611 1.93645 -0.93682 -1.50070 1.63484 0.74028 -1.97917 0.18031 1.89531 -1.06188 -1.40139 1.71371 0.60428 -1.99479 0.32356 1.84429 -1.18141 -1.29477 1.78365 0.46513 0.00000 ... ... ..... ....... ......... ........... ............. E26u 2.00000 -0.60428 -1.63484 1.59219 0.67272 -1.99870 0.53506 1.67537 -1.54745 -0.74028 1.99479 -0.46513 -1.71371 1.50070 0.80687 -1.98828 0.39461 1.74982 -1.45199 -0.87241 1.97917 -0.32356 -1.78365 1.40139 0.93682 -1.96749 0.25210 1.81515 -1.34896 -1.00000 1.95324 -0.18031 -1.84429 1.29477 1.06188 -1.93645 0.10828 1.87102 -1.23890 -1.12237 1.91713 -0.03611 -1.89531 1.18141 0.00000 -2.00000 -1.18141 1.89531 0.03611 -1.91713 1.12237 1.23890 -1.87102 -0.10828 1.93645 -1.06188 -1.29477 1.84429 0.18031 -1.95324 1.00000 1.34896 -1.81515 -0.25210 1.96749 -0.93682 -1.40139 1.78365 0.32356 -1.97917 0.87241 1.45199 -1.74982 -0.39461 1.98828 -0.80687 -1.50070 1.71371 0.46513 -1.99479 0.74028 1.54745 -1.67537 -0.53506 1.99870 -0.67272 -1.59219 1.63484 0.60428 0.00000 ... ... ..... ....... ......... ........... ............. E27u 2.00000 -0.74028 -1.45199 1.81515 0.10828 -1.89531 1.29477 0.93682 -1.98828 0.53506 1.59219 -1.71371 -0.32356 1.95324 -1.12237 -1.12237 1.95324 -0.32356 -1.71371 1.59219 0.53506 -1.98828 0.93682 1.29477 -1.89531 0.10828 1.81515 -1.45199 -0.74028 2.00000 -0.74028 -1.45199 1.81515 0.10828 -1.89531 1.29477 0.93682 -1.98828 0.53506 1.59219 -1.71371 -0.32356 1.95324 -1.12237 0.00000 -2.00000 1.12237 -1.95324 0.32356 1.71371 -1.59219 -0.53506 1.98828 -0.93682 -1.29477 1.89531 -0.10828 -1.81515 1.45199 0.74028 -2.00000 0.74028 1.45199 -1.81515 -0.10828 1.89531 -1.29477 -0.93682 1.98828 -0.53506 -1.59219 1.71371 0.32356 -1.95324 1.12237 1.12237 -1.95324 0.32356 1.71371 -1.59219 -0.53506 1.98828 -0.93682 -1.29477 1.89531 -0.10828 -1.81515 1.45199 0.74028 0.00000 ... ... ..... ....... ......... ........... ............. E28u 2.00000 -0.87241 -1.23890 1.95324 -0.46513 -1.54745 1.81515 -0.03611 -1.78365 1.59219 0.39461 -1.93645 1.29477 0.80687 -1.99870 0.93682 1.18141 -1.96749 0.53506 1.50070 -1.84429 0.10828 1.74982 -1.63484 -0.32356 1.91713 -1.34896 -0.74028 1.99479 -1.00000 -1.12237 1.97917 -0.60428 -1.45199 1.87102 -0.18031 -1.71371 1.67537 0.25210 -1.89531 1.40139 0.67272 -1.98828 1.06188 0.00000 -2.00000 -1.06188 1.98828 -0.67272 -1.40139 1.89531 -0.25210 -1.67537 1.71371 0.18031 -1.87102 1.45199 0.60428 -1.97917 1.12237 1.00000 -1.99479 0.74028 1.34896 -1.91713 0.32356 1.63484 -1.74982 -0.10828 1.84429 -1.50070 -0.53506 1.96749 -1.18141 -0.93682 1.99870 -0.80687 -1.29477 1.93645 -0.39461 -1.59219 1.78365 0.03611 -1.81515 1.54745 0.46513 -1.95324 1.23890 0.87241 0.00000 ... ... ..... ....... ......... ........... ............. E29u 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 0.00000 -2.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 0.00000 ... ... ..... ....... ......... ........... ............. E30u 2.00000 -1.12237 -0.74028 1.95324 -1.45199 -0.32356 1.81515 -1.71371 0.10828 1.59219 -1.89531 0.53506 1.29477 -1.98828 0.93682 0.93682 -1.98828 1.29477 0.53506 -1.89531 1.59219 0.10828 -1.71371 1.81515 -0.32356 -1.45199 1.95324 -0.74028 -1.12237 2.00000 -1.12237 -0.74028 1.95324 -1.45199 -0.32356 1.81515 -1.71371 0.10828 1.59219 -1.89531 0.53506 1.29477 -1.98828 0.93682 0.00000 -2.00000 -0.93682 1.98828 -1.29477 -0.53506 1.89531 -1.59219 -0.10828 1.71371 -1.81515 0.32356 1.45199 -1.95324 0.74028 1.12237 -2.00000 1.12237 0.74028 -1.95324 1.45199 0.32356 -1.81515 1.71371 -0.10828 -1.59219 1.89531 -0.53506 -1.29477 1.98828 -0.93682 -0.93682 1.98828 -1.29477 -0.53506 1.89531 -1.59219 -0.10828 1.71371 -1.81515 0.32356 1.45199 -1.95324 0.74028 1.12237 0.00000 ... ... ..... ....... ......... ........... ............. E31u 2.00000 -1.23890 -0.46513 1.81515 -1.78365 0.39461 1.29477 -1.99870 1.18141 0.53506 -1.84429 1.74982 -0.32356 -1.34896 1.99479 -1.12237 -0.60428 1.87102 -1.71371 0.25210 1.40139 -1.98828 1.06188 0.67272 -1.89531 1.67537 -0.18031 -1.45199 1.97917 -1.00000 -0.74028 1.91713 -1.63484 0.10828 1.50070 -1.96749 0.93682 0.80687 -1.93645 1.59219 -0.03611 -1.54745 1.95324 -0.87241 0.00000 -2.00000 0.87241 -1.95324 1.54745 0.03611 -1.59219 1.93645 -0.80687 -0.93682 1.96749 -1.50070 -0.10828 1.63484 -1.91713 0.74028 1.00000 -1.97917 1.45199 0.18031 -1.67537 1.89531 -0.67272 -1.06188 1.98828 -1.40139 -0.25210 1.71371 -1.87102 0.60428 1.12237 -1.99479 1.34896 0.32356 -1.74982 1.84429 -0.53506 -1.18141 1.99870 -1.29477 -0.39461 1.78365 -1.81515 0.46513 1.23890 0.00000 ... ... ..... ....... ......... ........... ............. E32u 2.00000 -1.34896 -0.18031 1.59219 -1.96749 1.06188 0.53506 -1.78365 1.87102 -0.74028 -0.87241 1.91713 -1.71371 0.39461 1.18141 -1.98828 1.50070 -0.03611 -1.45199 1.99479 -1.23890 -0.32356 1.67537 -1.93645 0.93682 0.67272 -1.84429 1.81515 -0.60428 -1.00000 1.95324 -1.63484 0.25210 1.29477 -1.99870 1.40139 0.10828 -1.54745 1.97917 -1.12237 -0.46513 1.74982 -1.89531 0.80687 0.00000 -2.00000 -0.80687 1.89531 -1.74982 0.46513 1.12237 -1.97917 1.54745 -0.10828 -1.40139 1.99870 -1.29477 -0.25210 1.63484 -1.95324 1.00000 0.60428 -1.81515 1.84429 -0.67272 -0.93682 1.93645 -1.67537 0.32356 1.23890 -1.99479 1.45199 0.03611 -1.50070 1.98828 -1.18141 -0.39461 1.71371 -1.91713 0.87241 0.74028 -1.87102 1.78365 -0.53506 -1.06188 1.96749 -1.59219 0.18031 1.34896 0.00000 ... ... ..... ....... ......... ........... ............. E33u 2.00000 -1.45199 0.10828 1.29477 -1.98828 1.59219 -0.32356 -1.12237 1.95324 -1.71371 0.53506 0.93682 -1.89531 1.81515 -0.74028 -0.74028 1.81515 -1.89531 0.93682 0.53506 -1.71371 1.95324 -1.12237 -0.32356 1.59219 -1.98828 1.29477 0.10828 -1.45199 2.00000 -1.45199 0.10828 1.29477 -1.98828 1.59219 -0.32356 -1.12237 1.95324 -1.71371 0.53506 0.93682 -1.89531 1.81515 -0.74028 0.00000 -2.00000 0.74028 -1.81515 1.89531 -0.93682 -0.53506 1.71371 -1.95324 1.12237 0.32356 -1.59219 1.98828 -1.29477 -0.10828 1.45199 -2.00000 1.45199 -0.10828 -1.29477 1.98828 -1.59219 0.32356 1.12237 -1.95324 1.71371 -0.53506 -0.93682 1.89531 -1.81515 0.74028 0.74028 -1.81515 1.89531 -0.93682 -0.53506 1.71371 -1.95324 1.12237 0.32356 -1.59219 1.98828 -1.29477 -0.10828 1.45199 0.00000 ... ... ..... ....... ......... ........... ............. E34u 2.00000 -1.54745 0.39461 0.93682 -1.84429 1.91713 -1.12237 -0.18031 1.40139 -1.98828 1.67537 -0.60428 -0.74028 1.74982 -1.96749 1.29477 -0.03611 -1.23890 1.95324 -1.78365 0.80687 0.53506 -1.63484 1.99479 -1.45199 0.25210 1.06188 -1.89531 1.87102 -1.00000 -0.32356 1.50070 -1.99870 1.59219 -0.46513 -0.87241 1.81515 -1.93645 1.18141 0.10828 -1.34896 1.97917 -1.71371 0.67272 0.00000 -2.00000 -0.67272 1.71371 -1.97917 1.34896 -0.10828 -1.18141 1.93645 -1.81515 0.87241 0.46513 -1.59219 1.99870 -1.50070 0.32356 1.00000 -1.87102 1.89531 -1.06188 -0.25210 1.45199 -1.99479 1.63484 -0.53506 -0.80687 1.78365 -1.95324 1.23890 0.03611 -1.29477 1.96749 -1.74982 0.74028 0.60428 -1.67537 1.98828 -1.40139 0.18031 1.12237 -1.91713 1.84429 -0.93682 -0.39461 1.54745 0.00000 ... ... ..... ....... ......... ........... ............. E35u 2.00000 -1.63484 0.67272 0.53506 -1.54745 1.99479 -1.71371 0.80687 0.39461 -1.45199 1.97917 -1.78365 0.93682 0.25210 -1.34896 1.95324 -1.84429 1.06188 0.10828 -1.23890 1.91713 -1.89531 1.18141 -0.03611 -1.12237 1.87102 -1.93645 1.29477 -0.18031 -1.00000 1.81515 -1.96749 1.40139 -0.32356 -0.87241 1.74982 -1.98828 1.50070 -0.46513 -0.74028 1.67537 -1.99870 1.59219 -0.60428 0.00000 -2.00000 0.60428 -1.59219 1.99870 -1.67537 0.74028 0.46513 -1.50070 1.98828 -1.74982 0.87241 0.32356 -1.40139 1.96749 -1.81515 1.00000 0.18031 -1.29477 1.93645 -1.87102 1.12237 0.03611 -1.18141 1.89531 -1.91713 1.23890 -0.10828 -1.06188 1.84429 -1.95324 1.34896 -0.25210 -0.93682 1.78365 -1.97917 1.45199 -0.39461 -0.80687 1.71371 -1.99479 1.54745 -0.53506 -0.67272 1.63484 0.00000 ... ... ..... ....... ......... ........... ............. E36u 2.00000 -1.71371 0.93682 0.10828 -1.12237 1.81515 -1.98828 1.59219 -0.74028 -0.32356 1.29477 -1.89531 1.95324 -1.45199 0.53506 0.53506 -1.45199 1.95324 -1.89531 1.29477 -0.32356 -0.74028 1.59219 -1.98828 1.81515 -1.12237 0.10828 0.93682 -1.71371 2.00000 -1.71371 0.93682 0.10828 -1.12237 1.81515 -1.98828 1.59219 -0.74028 -0.32356 1.29477 -1.89531 1.95324 -1.45199 0.53506 0.00000 -2.00000 -0.53506 1.45199 -1.95324 1.89531 -1.29477 0.32356 0.74028 -1.59219 1.98828 -1.81515 1.12237 -0.10828 -0.93682 1.71371 -2.00000 1.71371 -0.93682 -0.10828 1.12237 -1.81515 1.98828 -1.59219 0.74028 0.32356 -1.29477 1.89531 -1.95324 1.45199 -0.53506 -0.53506 1.45199 -1.95324 1.89531 -1.29477 0.32356 0.74028 -1.59219 1.98828 -1.81515 1.12237 -0.10828 -0.93682 1.71371 0.00000 ... ... ..... ....... ......... ........... ............. E37u 2.00000 -1.78365 1.18141 -0.32356 -0.60428 1.40139 -1.89531 1.97917 -1.63484 0.93682 -0.03611 -0.87241 1.59219 -1.96749 1.91713 -1.45199 0.67272 0.25210 -1.12237 1.74982 -1.99870 1.81515 -1.23890 0.39461 0.53506 -1.34896 1.87102 -1.98828 1.67537 -1.00000 0.10828 0.80687 -1.54745 1.95324 -1.93645 1.50070 -0.74028 -0.18031 1.06188 -1.71371 1.99479 -1.84429 1.29477 -0.46513 0.00000 -2.00000 0.46513 -1.29477 1.84429 -1.99479 1.71371 -1.06188 0.18031 0.74028 -1.50070 1.93645 -1.95324 1.54745 -0.80687 -0.10828 1.00000 -1.67537 1.98828 -1.87102 1.34896 -0.53506 -0.39461 1.23890 -1.81515 1.99870 -1.74982 1.12237 -0.25210 -0.67272 1.45199 -1.91713 1.96749 -1.59219 0.87241 0.03611 -0.93682 1.63484 -1.97917 1.89531 -1.40139 0.60428 0.32356 -1.18141 1.78365 0.00000 ... ... ..... ....... ......... ........... ............. E38u 2.00000 -1.84429 1.40139 -0.74028 -0.03611 0.80687 -1.45199 1.87102 -1.99870 1.81515 -1.34896 0.67272 0.10828 -0.87241 1.50070 -1.89531 1.99479 -1.78365 1.29477 -0.60428 -0.18031 0.93682 -1.54745 1.91713 -1.98828 1.74982 -1.23890 0.53506 0.25210 -1.00000 1.59219 -1.93645 1.97917 -1.71371 1.18141 -0.46513 -0.32356 1.06188 -1.63484 1.95324 -1.96749 1.67537 -1.12237 0.39461 0.00000 -2.00000 -0.39461 1.12237 -1.67537 1.96749 -1.95324 1.63484 -1.06188 0.32356 0.46513 -1.18141 1.71371 -1.97917 1.93645 -1.59219 1.00000 -0.25210 -0.53506 1.23890 -1.74982 1.98828 -1.91713 1.54745 -0.93682 0.18031 0.60428 -1.29477 1.78365 -1.99479 1.89531 -1.50070 0.87241 -0.10828 -0.67272 1.34896 -1.81515 1.99870 -1.87102 1.45199 -0.80687 0.03611 0.74028 -1.40139 1.84429 0.00000 ... ... ..... ....... ......... ........... ............. E39u 2.00000 -1.89531 1.59219 -1.12237 0.53506 0.10828 -0.74028 1.29477 -1.71371 1.95324 -1.98828 1.81515 -1.45199 0.93682 -0.32356 -0.32356 0.93682 -1.45199 1.81515 -1.98828 1.95324 -1.71371 1.29477 -0.74028 0.10828 0.53506 -1.12237 1.59219 -1.89531 2.00000 -1.89531 1.59219 -1.12237 0.53506 0.10828 -0.74028 1.29477 -1.71371 1.95324 -1.98828 1.81515 -1.45199 0.93682 -0.32356 0.00000 -2.00000 0.32356 -0.93682 1.45199 -1.81515 1.98828 -1.95324 1.71371 -1.29477 0.74028 -0.10828 -0.53506 1.12237 -1.59219 1.89531 -2.00000 1.89531 -1.59219 1.12237 -0.53506 -0.10828 0.74028 -1.29477 1.71371 -1.95324 1.98828 -1.81515 1.45199 -0.93682 0.32356 0.32356 -0.93682 1.45199 -1.81515 1.98828 -1.95324 1.71371 -1.29477 0.74028 -0.10828 -0.53506 1.12237 -1.59219 1.89531 0.00000 ... ... ..... ....... ......... ........... ............. E40u 2.00000 -1.93645 1.74982 -1.45199 1.06188 -0.60428 0.10828 0.39461 -0.87241 1.29477 -1.63484 1.87102 -1.98828 1.97917 -1.84429 1.59219 -1.23890 0.80687 -0.32356 -0.18031 0.67272 -1.12237 1.50070 -1.78365 1.95324 -1.99870 1.91713 -1.71371 1.40139 -1.00000 0.53506 -0.03611 -0.46513 0.93682 -1.34896 1.67537 -1.89531 1.99479 -1.96749 1.81515 -1.54745 1.18141 -0.74028 0.25210 0.00000 -2.00000 -0.25210 0.74028 -1.18141 1.54745 -1.81515 1.96749 -1.99479 1.89531 -1.67537 1.34896 -0.93682 0.46513 0.03611 -0.53506 1.00000 -1.40139 1.71371 -1.91713 1.99870 -1.95324 1.78365 -1.50070 1.12237 -0.67272 0.18031 0.32356 -0.80687 1.23890 -1.59219 1.84429 -1.97917 1.98828 -1.87102 1.63484 -1.29477 0.87241 -0.39461 -0.10828 0.60428 -1.06188 1.45199 -1.74982 1.93645 0.00000 ... ... ..... ....... ......... ........... ............. E41u 2.00000 -1.96749 1.87102 -1.71371 1.50070 -1.23890 0.93682 -0.60428 0.25210 0.10828 -0.46513 0.80687 -1.12237 1.40139 -1.63484 1.81515 -1.93645 1.99479 -1.98828 1.91713 -1.78365 1.59219 -1.34896 1.06188 -0.74028 0.39461 -0.03611 -0.32356 0.67272 -1.00000 1.29477 -1.54745 1.74982 -1.89531 1.97917 -1.99870 1.95324 -1.84429 1.67537 -1.45199 1.18141 -0.87241 0.53506 -0.18031 0.00000 -2.00000 0.18031 -0.53506 0.87241 -1.18141 1.45199 -1.67537 1.84429 -1.95324 1.99870 -1.97917 1.89531 -1.74982 1.54745 -1.29477 1.00000 -0.67272 0.32356 0.03611 -0.39461 0.74028 -1.06188 1.34896 -1.59219 1.78365 -1.91713 1.98828 -1.99479 1.93645 -1.81515 1.63484 -1.40139 1.12237 -0.80687 0.46513 -0.10828 -0.25210 0.60428 -0.93682 1.23890 -1.50070 1.71371 -1.87102 1.96749 0.00000 ... ... ..... ....... ......... ........... ............. E42u 2.00000 -1.98828 1.95324 -1.89531 1.81515 -1.71371 1.59219 -1.45199 1.29477 -1.12237 0.93682 -0.74028 0.53506 -0.32356 0.10828 0.10828 -0.32356 0.53506 -0.74028 0.93682 -1.12237 1.29477 -1.45199 1.59219 -1.71371 1.81515 -1.89531 1.95324 -1.98828 2.00000 -1.98828 1.95324 -1.89531 1.81515 -1.71371 1.59219 -1.45199 1.29477 -1.12237 0.93682 -0.74028 0.53506 -0.32356 0.10828 0.00000 -2.00000 -0.10828 0.32356 -0.53506 0.74028 -0.93682 1.12237 -1.29477 1.45199 -1.59219 1.71371 -1.81515 1.89531 -1.95324 1.98828 -2.00000 1.98828 -1.95324 1.89531 -1.81515 1.71371 -1.59219 1.45199 -1.29477 1.12237 -0.93682 0.74028 -0.53506 0.32356 -0.10828 -0.10828 0.32356 -0.53506 0.74028 -0.93682 1.12237 -1.29477 1.45199 -1.59219 1.71371 -1.81515 1.89531 -1.95324 1.98828 0.00000 ... ... ..... ....... ......... ........... ............. E43u 2.00000 -1.99870 1.99479 -1.98828 1.97917 -1.96749 1.95324 -1.93645 1.91713 -1.89531 1.87102 -1.84429 1.81515 -1.78365 1.74982 -1.71371 1.67537 -1.63484 1.59219 -1.54745 1.50070 -1.45199 1.40139 -1.34896 1.29477 -1.23890 1.18141 -1.12237 1.06188 -1.00000 0.93682 -0.87241 0.80687 -0.74028 0.67272 -0.60428 0.53506 -0.46513 0.39461 -0.32356 0.25210 -0.18031 0.10828 -0.03611 0.00000 -2.00000 0.03611 -0.10828 0.18031 -0.25210 0.32356 -0.39461 0.46513 -0.53506 0.60428 -0.67272 0.74028 -0.80687 0.87241 -0.93682 1.00000 -1.06188 1.12237 -1.18141 1.23890 -1.29477 1.34896 -1.40139 1.45199 -1.50070 1.54745 -1.59219 1.63484 -1.67537 1.71371 -1.74982 1.78365 -1.81515 1.84429 -1.87102 1.89531 -1.91713 1.93645 -1.95324 1.96749 -1.97917 1.98828 -1.99479 1.99870 0.00000 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.998696190779 = 2*cos(2*π/174) = 2*cos(π/87) 1.994786463036 = 2*cos(4*π/174) = 2*cos(2*π/87) 1.988275914309 = 2*cos(6*π/174) = 2*cos(π/29) 1.979173033111 = 2*cos(8*π/174) = 2*cos(4*π/87) 1.967489687864 = 2*cos(10*π/174) = 2*cos(5*π/87) 1.953241111420 = 2*cos(12*π/174) = 2*cos(2*π/29) 1.936445881205 = 2*cos(14*π/174) = 2*cos(7*π/87) 1.917125894995 = 2*cos(16*π/174) = 2*cos(8*π/87) 1.895306342366 = 2*cos(18*π/174) = 2*cos(3*π/29) 1.871015671851 = 2*cos(20*π/174) = 2*cos(10*π/87) 1.844285553852 = 2*cos(22*π/174) = 2*cos(11*π/87) 1.815150839342 = 2*cos(24*π/174) = 2*cos(4*π/29) 1.783649514431 = 2*cos(26*π/174) = 2*cos(13*π/87) 1.749822650836 = 2*cos(28*π/174) = 2*cos(14*π/87) 1.713714352335 = 2*cos(30*π/174) = 2*cos(5*π/29) 1.675371697260 = 2*cos(32*π/174) = 2*cos(16*π/87) 1.634844677118 = 2*cos(34*π/174) = 2*cos(17*π/87) 1.592186131411 = 2*cos(36*π/174) = 2*cos(6*π/29) 1.547451678746 = 2*cos(38*π/174) = 2*cos(19*π/87) 1.500699644313 = 2*cos(40*π/174) = 2*cos(20*π/87) 1.451990983846 = 2*cos(42*π/174) = 2*cos(7*π/29) 1.401389204147 = 2*cos(44*π/174) = 2*cos(22*π/87) 1.348960280281 = 2*cos(46*π/174) = 2*cos(23*π/87) 1.294772569564 = 2*cos(48*π/174) = 2*cos(8*π/29) 1.238896722431 = 2*cos(50*π/174) = 2*cos(25*π/87) 1.181405590329 = 2*cos(52*π/174) = 2*cos(26*π/87) 1.122374130725 = 2*cos(54*π/174) = 2*cos(9*π/29) 1.061879309380 = 2*cos(56*π/174) = 2*cos(28*π/87) 0.936816881400 = 2*cos(60*π/174) = 2*cos(10*π/29) 0.872412332311 = 2*cos(62*π/174) = 2*cos(31*π/87) 0.806870323980 = 2*cos(64*π/174) = 2*cos(32*π/87) 0.740276310680 = 2*cos(66*π/174) = 2*cos(11*π/29) 0.672717118300 = 2*cos(68*π/174) = 2*cos(34*π/87) 0.604280831139 = 2*cos(70*π/174) = 2*cos(35*π/87) 0.535056677058 = 2*cos(72*π/174) = 2*cos(12*π/29) 0.465134911149 = 2*cos(74*π/174) = 2*cos(37*π/87) 0.394606698053 = 2*cos(76*π/174) = 2*cos(38*π/87) 0.323563993106 = 2*cos(78*π/174) = 2*cos(13*π/29) 0.252099422441 = 2*cos(80*π/174) = 2*cos(40*π/87) 0.180306162224 = 2*cos(82*π/174) = 2*cos(41*π/87) 0.108277817171 = 2*cos(84*π/174) = 2*cos(14*π/29) 0.036108298501 = 2*cos(86*π/174) = 2*cos(43*π/87) 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_87d point group is 348, and the order of the principal axis (S₁₇₄) is 174. The group has 90 irreducible representations. β The D_87d point group is isomorphic to D_87h, C_174v and D₁₇₄. γ The D_87d point group is generated by two symmetry elements, S₁₇₄ and either a perpendicular C₂^′ or a vertical σ_d. Also, the group may be generated from a C₂^′ plus a σ_d (some pairs will yield smaller groups, though; choosing a minimum angle is safe). The canonical choice, however, is to use redundant generators: C₈₇, 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_87d 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 much 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_87d point group was created by Gernot Katzer.

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

	D_85d
	D_86d
C₈₇ C_87v C_87h D₈₇ D_87h	D_87d
	D_88d
	D_89d

Character table for the D87d point group

Character table for the D_87d point group