C119 E 2 C119 2 C119^2 2 C119^3 2 C119^4 2 C119^5 2 C119^6 2 C17 2 C119^8 2 C119^9 2 C119^10 2 C119^11 2 C119^12 2 C119^13 2 C17^2 2 C119^15 2 C119^16 2 C7 2 C119^18 2 C119^19 2 C119^20 2 C17^3 2 C119^22 2 C119^23 2 C119^24 2 C119^25 2 C119^26 2 C119^27 2 C17^4 2 C119^29 2 C119^30 2 C119^31 2 C119^32 2 C119^33 2 C7^2 2 C17^5 2 C119^36 2 C119^37 2 C119^38 2 C119^39 2 C119^40 2 C119^41 2 C17^6 2 C119^43 2 C119^44 2 C119^45 2 C119^46 2 C119^47 2 C119^48 2 C17^7 2 C119^50 2 C7^3 2 C119^52 2 C119^53 2 C119^54 2 C119^55 2 C17^8 2 C119^57 2 C119^58 2 C119^59 <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> A 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 ..T ..T ....T ......T ........T ..........T ............T E1 * 2.00000 1.99721 1.98886 1.97496 1.95556 1.93071 1.90047 1.86494 1.82422 1.77840 1.72763 1.67205 1.61180 1.54707 1.47802 1.40485 1.32776 1.24698 1.16272 1.07522 0.98472 0.89148 0.79575 0.69780 0.59791 0.49636 0.39342 0.28938 0.18454 0.07918 -0.02640 -0.13190 -0.23704 -0.34152 -0.44504 -0.54733 -0.64808 -0.74704 -0.84391 -0.93843 -1.03033 -1.11936 -1.20527 -1.28782 -1.36678 -1.44194 -1.51307 -1.57999 -1.64250 -1.70043 -1.75363 -1.80194 -1.84522 -1.88337 -1.91626 -1.94381 -1.96595 -1.98260 -1.99373 -1.99930 TT. TT. ..TT. ....TT. ......TT. ........TT. ..........TT. E2 * 2.00000 1.98886 1.95556 1.90047 1.82422 1.72763 1.61180 1.47802 1.32776 1.16272 0.98472 0.79575 0.59791 0.39342 0.18454 -0.02640 -0.23704 -0.44504 -0.64808 -0.84391 -1.03033 -1.20527 -1.36678 -1.51307 -1.64250 -1.75363 -1.84522 -1.91626 -1.96595 -1.99373 -1.99930 -1.98260 -1.94381 -1.88337 -1.80194 -1.70043 -1.57999 -1.44194 -1.28782 -1.11936 -0.93843 -0.74704 -0.54733 -0.34152 -0.13190 0.07918 0.28938 0.49636 0.69780 0.89148 1.07522 1.24698 1.40485 1.54707 1.67205 1.77840 1.86494 1.93071 1.97496 1.99721 ... ... TT... ..TT... ....TT... ......TT... ........TT... E3 * 2.00000 1.97496 1.90047 1.77840 1.61180 1.40485 1.16272 0.89148 0.59791 0.28938 -0.02640 -0.34152 -0.64808 -0.93843 -1.20527 -1.44194 -1.64250 -1.80194 -1.91626 -1.98260 -1.99930 -1.96595 -1.88337 -1.75363 -1.57999 -1.36678 -1.11936 -0.84391 -0.54733 -0.23704 0.07918 0.39342 0.69780 0.98472 1.24698 1.47802 1.67205 1.82422 1.93071 1.98886 1.99721 1.95556 1.86494 1.72763 1.54707 1.32776 1.07522 0.79575 0.49636 0.18454 -0.13190 -0.44504 -0.74704 -1.03033 -1.28782 -1.51307 -1.70043 -1.84522 -1.94381 -1.99373 ... ... ..... TT..... ..TT..... ....TT..... ......TT..... E4 * 2.00000 1.95556 1.82422 1.61180 1.32776 0.98472 0.59791 0.18454 -0.23704 -0.64808 -1.03033 -1.36678 -1.64250 -1.84522 -1.96595 -1.99930 -1.94381 -1.80194 -1.57999 -1.28782 -0.93843 -0.54733 -0.13190 0.28938 0.69780 1.07522 1.40485 1.67205 1.86494 1.97496 1.99721 1.93071 1.77840 1.54707 1.24698 0.89148 0.49636 0.07918 -0.34152 -0.74704 -1.11936 -1.44194 -1.70043 -1.88337 -1.98260 -1.99373 -1.91626 -1.75363 -1.51307 -1.20527 -0.84391 -0.44504 -0.02640 0.39342 0.79575 1.16272 1.47802 1.72763 1.90047 1.98886 ... ... ..... ....... TT....... ..TT....... ....TT....... E5 * 2.00000 1.93071 1.72763 1.40485 0.98472 0.49636 -0.02640 -0.54733 -1.03033 -1.44194 -1.75363 -1.94381 -1.99930 -1.91626 -1.70043 -1.36678 -0.93843 -0.44504 0.07918 0.59791 1.07522 1.47802 1.77840 1.95556 1.99721 1.90047 1.67205 1.32776 0.89148 0.39342 -0.13190 -0.64808 -1.11936 -1.51307 -1.80194 -1.96595 -1.99373 -1.88337 -1.64250 -1.28782 -0.84391 -0.34152 0.18454 0.69780 1.16272 1.54707 1.82422 1.97496 1.98886 1.86494 1.61180 1.24698 0.79575 0.28938 -0.23704 -0.74704 -1.20527 -1.57999 -1.84522 -1.98260 ... ... ..... ....... ......... TT......... ..TT......... E6 * 2.00000 1.90047 1.61180 1.16272 0.59791 -0.02640 -0.64808 -1.20527 -1.64250 -1.91626 -1.99930 -1.88337 -1.57999 -1.11936 -0.54733 0.07918 0.69780 1.24698 1.67205 1.93071 1.99721 1.86494 1.54707 1.07522 0.49636 -0.13190 -0.74704 -1.28782 -1.70043 -1.94381 -1.99373 -1.84522 -1.51307 -1.03033 -0.44504 0.18454 0.79575 1.32776 1.72763 1.95556 1.98886 1.82422 1.47802 0.98472 0.39342 -0.23704 -0.84391 -1.36678 -1.75363 -1.96595 -1.98260 -1.80194 -1.44194 -0.93843 -0.34152 0.28938 0.89148 1.40485 1.77840 1.97496 ... ... ..... ....... ......... ........... TT........... E7 * 2.00000 1.86494 1.47802 0.89148 0.18454 -0.54733 -1.20527 -1.70043 -1.96595 -1.96595 -1.70043 -1.20527 -0.54733 0.18454 0.89148 1.47802 1.86494 2.00000 1.86494 1.47802 0.89148 0.18454 -0.54733 -1.20527 -1.70043 -1.96595 -1.96595 -1.70043 -1.20527 -0.54733 0.18454 0.89148 1.47802 1.86494 2.00000 1.86494 1.47802 0.89148 0.18454 -0.54733 -1.20527 -1.70043 -1.96595 -1.96595 -1.70043 -1.20527 -0.54733 0.18454 0.89148 1.47802 1.86494 2.00000 1.86494 1.47802 0.89148 0.18454 -0.54733 -1.20527 -1.70043 -1.96595 ... ... ..... ....... ......... ........... ............. E8 * 2.00000 1.82422 1.32776 0.59791 -0.23704 -1.03033 -1.64250 -1.96595 -1.94381 -1.57999 -0.93843 -0.13190 0.69780 1.40485 1.86494 1.99721 1.77840 1.24698 0.49636 -0.34152 -1.11936 -1.70043 -1.98260 -1.91626 -1.51307 -0.84391 -0.02640 0.79575 1.47802 1.90047 1.98886 1.72763 1.16272 0.39342 -0.44504 -1.20527 -1.75363 -1.99373 -1.88337 -1.44194 -0.74704 0.07918 0.89148 1.54707 1.93071 1.97496 1.67205 1.07522 0.28938 -0.54733 -1.28782 -1.80194 -1.99930 -1.84522 -1.36678 -0.64808 0.18454 0.98472 1.61180 1.95556 ... ... ..... ....... ......... ........... ............. E9 * 2.00000 1.77840 1.16272 0.28938 -0.64808 -1.44194 -1.91626 -1.96595 -1.57999 -0.84391 0.07918 0.98472 1.67205 1.98886 1.86494 1.32776 0.49636 -0.44504 -1.28782 -1.84522 -1.99373 -1.70043 -1.03033 -0.13190 0.79575 1.54707 1.95556 1.93071 1.47802 0.69780 -0.23704 -1.11936 -1.75363 -1.99930 -1.80194 -1.20527 -0.34152 0.59791 1.40485 1.90047 1.97496 1.61180 0.89148 -0.02640 -0.93843 -1.64250 -1.98260 -1.88337 -1.36678 -0.54733 0.39342 1.24698 1.82422 1.99721 1.72763 1.07522 0.18454 -0.74704 -1.51307 -1.94381 ... ... ..... ....... ......... ........... ............. E10 * 2.00000 1.72763 0.98472 -0.02640 -1.03033 -1.75363 -1.99930 -1.70043 -0.93843 0.07918 1.07522 1.77840 1.99721 1.67205 0.89148 -0.13190 -1.11936 -1.80194 -1.99373 -1.64250 -0.84391 0.18454 1.16272 1.82422 1.98886 1.61180 0.79575 -0.23704 -1.20527 -1.84522 -1.98260 -1.57999 -0.74704 0.28938 1.24698 1.86494 1.97496 1.54707 0.69780 -0.34152 -1.28782 -1.88337 -1.96595 -1.51307 -0.64808 0.39342 1.32776 1.90047 1.95556 1.47802 0.59791 -0.44504 -1.36678 -1.91626 -1.94381 -1.44194 -0.54733 0.49636 1.40485 1.93071 ... ... ..... ....... ......... ........... ............. E11 * 2.00000 1.67205 0.79575 -0.34152 -1.36678 -1.94381 -1.88337 -1.20527 -0.13190 0.98472 1.77840 1.98886 1.54707 0.59791 -0.54733 -1.51307 -1.98260 -1.80194 -1.03033 0.07918 1.16272 1.86494 1.95556 1.40485 0.39342 -0.74704 -1.64250 -1.99930 -1.70043 -0.84391 0.28938 1.32776 1.93071 1.90047 1.24698 0.18454 -0.93843 -1.75363 -1.99373 -1.57999 -0.64808 0.49636 1.47802 1.97496 1.82422 1.07522 -0.02640 -1.11936 -1.84522 -1.96595 -1.44194 -0.44504 0.69780 1.61180 1.99721 1.72763 0.89148 -0.23704 -1.28782 -1.91626 ... ... ..... ....... ......... ........... ............. E12 * 2.00000 1.61180 0.59791 -0.64808 -1.64250 -1.99930 -1.57999 -0.54733 0.69780 1.67205 1.99721 1.54707 0.49636 -0.74704 -1.70043 -1.99373 -1.51307 -0.44504 0.79575 1.72763 1.98886 1.47802 0.39342 -0.84391 -1.75363 -1.98260 -1.44194 -0.34152 0.89148 1.77840 1.97496 1.40485 0.28938 -0.93843 -1.80194 -1.96595 -1.36678 -0.23704 0.98472 1.82422 1.95556 1.32776 0.18454 -1.03033 -1.84522 -1.94381 -1.28782 -0.13190 1.07522 1.86494 1.93071 1.24698 0.07918 -1.11936 -1.88337 -1.91626 -1.20527 -0.02640 1.16272 1.90047 ... ... ..... ....... ......... ........... ............. E13 * 2.00000 1.54707 0.39342 -0.93843 -1.84522 -1.91626 -1.11936 0.18454 1.40485 1.98886 1.67205 0.59791 -0.74704 -1.75363 -1.96595 -1.28782 -0.02640 1.24698 1.95556 1.77840 0.79575 -0.54733 -1.64250 -1.99373 -1.44194 -0.23704 1.07522 1.90047 1.86494 0.98472 -0.34152 -1.51307 -1.99930 -1.57999 -0.44504 0.89148 1.82422 1.93071 1.16272 -0.13190 -1.36678 -1.98260 -1.70043 -0.64808 0.69780 1.72763 1.97496 1.32776 0.07918 -1.20527 -1.94381 -1.80194 -0.84391 0.49636 1.61180 1.99721 1.47802 0.28938 -1.03033 -1.88337 ... ... ..... ....... ......... ........... ............. E14 * 2.00000 1.47802 0.18454 -1.20527 -1.96595 -1.70043 -0.54733 0.89148 1.86494 1.86494 0.89148 -0.54733 -1.70043 -1.96595 -1.20527 0.18454 1.47802 2.00000 1.47802 0.18454 -1.20527 -1.96595 -1.70043 -0.54733 0.89148 1.86494 1.86494 0.89148 -0.54733 -1.70043 -1.96595 -1.20527 0.18454 1.47802 2.00000 1.47802 0.18454 -1.20527 -1.96595 -1.70043 -0.54733 0.89148 1.86494 1.86494 0.89148 -0.54733 -1.70043 -1.96595 -1.20527 0.18454 1.47802 2.00000 1.47802 0.18454 -1.20527 -1.96595 -1.70043 -0.54733 0.89148 1.86494 ... ... ..... ....... ......... ........... ............. E15 * 2.00000 1.40485 -0.02640 -1.44194 -1.99930 -1.36678 0.07918 1.47802 1.99721 1.32776 -0.13190 -1.51307 -1.99373 -1.28782 0.18454 1.54707 1.98886 1.24698 -0.23704 -1.57999 -1.98260 -1.20527 0.28938 1.61180 1.97496 1.16272 -0.34152 -1.64250 -1.96595 -1.11936 0.39342 1.67205 1.95556 1.07522 -0.44504 -1.70043 -1.94381 -1.03033 0.49636 1.72763 1.93071 0.98472 -0.54733 -1.75363 -1.91626 -0.93843 0.59791 1.77840 1.90047 0.89148 -0.64808 -1.80194 -1.88337 -0.84391 0.69780 1.82422 1.86494 0.79575 -0.74704 -1.84522 ... ... ..... ....... ......... ........... ............. E16 * 2.00000 1.32776 -0.23704 -1.64250 -1.94381 -0.93843 0.69780 1.86494 1.77840 0.49636 -1.11936 -1.98260 -1.51307 -0.02640 1.47802 1.98886 1.16272 -0.44504 -1.75363 -1.88337 -0.74704 0.89148 1.93071 1.67205 0.28938 -1.28782 -1.99930 -1.36678 0.18454 1.61180 1.95556 0.98472 -0.64808 -1.84522 -1.80194 -0.54733 1.07522 1.97496 1.54707 0.07918 -1.44194 -1.99373 -1.20527 0.39342 1.72763 1.90047 0.79575 -0.84391 -1.91626 -1.70043 -0.34152 1.24698 1.99721 1.40485 -0.13190 -1.57999 -1.96595 -1.03033 0.59791 1.82422 ... ... ..... ....... ......... ........... ............. E17 * 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 -1.80194 -0.44504 1.24698 2.00000 1.24698 -0.44504 -1.80194 ... ... ..... ....... ......... ........... ............. E18 * 2.00000 1.16272 -0.64808 -1.91626 -1.57999 0.07918 1.67205 1.86494 0.49636 -1.28782 -1.99373 -1.03033 0.79575 1.95556 1.47802 -0.23704 -1.75363 -1.80194 -0.34152 1.40485 1.97496 0.89148 -0.93843 -1.98260 -1.36678 0.39342 1.82422 1.72763 0.18454 -1.51307 -1.94381 -0.74704 1.07522 1.99721 1.24698 -0.54733 -1.88337 -1.64250 -0.02640 1.61180 1.90047 0.59791 -1.20527 -1.99930 -1.11936 0.69780 1.93071 1.54707 -0.13190 -1.70043 -1.84522 -0.44504 1.32776 1.98886 0.98472 -0.84391 -1.96595 -1.44194 0.28938 1.77840 ... ... ..... ....... ......... ........... ............. E19 * 2.00000 1.07522 -0.84391 -1.98260 -1.28782 0.59791 1.93071 1.47802 -0.34152 -1.84522 -1.64250 0.07918 1.72763 1.77840 0.18454 -1.57999 -1.88337 -0.44504 1.40485 1.95556 0.69780 -1.20527 -1.99373 -0.93843 0.98472 1.99721 1.16272 -0.74704 -1.96595 -1.36678 0.49636 1.90047 1.54707 -0.23704 -1.80194 -1.70043 -0.02640 1.67205 1.82422 0.28938 -1.51307 -1.91626 -0.54733 1.32776 1.97496 0.79575 -1.11936 -1.99930 -1.03033 0.89148 1.98886 1.24698 -0.64808 -1.94381 -1.44194 0.39342 1.86494 1.61180 -0.13190 -1.75363 ... ... ..... ....... ......... ........... ............. E20 * 2.00000 0.98472 -1.03033 -1.99930 -0.93843 1.07522 1.99721 0.89148 -1.11936 -1.99373 -0.84391 1.16272 1.98886 0.79575 -1.20527 -1.98260 -0.74704 1.24698 1.97496 0.69780 -1.28782 -1.96595 -0.64808 1.32776 1.95556 0.59791 -1.36678 -1.94381 -0.54733 1.40485 1.93071 0.49636 -1.44194 -1.91626 -0.44504 1.47802 1.90047 0.39342 -1.51307 -1.88337 -0.34152 1.54707 1.86494 0.28938 -1.57999 -1.84522 -0.23704 1.61180 1.82422 0.18454 -1.64250 -1.80194 -0.13190 1.67205 1.77840 0.07918 -1.70043 -1.75363 -0.02640 1.72763 ... ... ..... ....... ......... ........... ............. E21 * 2.00000 0.89148 -1.20527 -1.96595 -0.54733 1.47802 1.86494 0.18454 -1.70043 -1.70043 0.18454 1.86494 1.47802 -0.54733 -1.96595 -1.20527 0.89148 2.00000 0.89148 -1.20527 -1.96595 -0.54733 1.47802 1.86494 0.18454 -1.70043 -1.70043 0.18454 1.86494 1.47802 -0.54733 -1.96595 -1.20527 0.89148 2.00000 0.89148 -1.20527 -1.96595 -0.54733 1.47802 1.86494 0.18454 -1.70043 -1.70043 0.18454 1.86494 1.47802 -0.54733 -1.96595 -1.20527 0.89148 2.00000 0.89148 -1.20527 -1.96595 -0.54733 1.47802 1.86494 0.18454 -1.70043 ... ... ..... ....... ......... ........... ............. E22 * 2.00000 0.79575 -1.36678 -1.88337 -0.13190 1.77840 1.54707 -0.54733 -1.98260 -1.03033 1.16272 1.95556 0.39342 -1.64250 -1.70043 0.28938 1.93071 1.24698 -0.93843 -1.99373 -0.64808 1.47802 1.82422 -0.02640 -1.84522 -1.44194 0.69780 1.99721 0.89148 -1.28782 -1.91626 -0.23704 1.72763 1.61180 -0.44504 -1.96595 -1.11936 1.07522 1.97496 0.49636 -1.57999 -1.75363 0.18454 1.90047 1.32776 -0.84391 -1.99930 -0.74704 1.40485 1.86494 0.07918 -1.80194 -1.51307 0.59791 1.98886 0.98472 -1.20527 -1.94381 -0.34152 1.67205 ... ... ..... ....... ......... ........... ............. E23 * 2.00000 0.69780 -1.51307 -1.75363 0.28938 1.95556 1.07522 -1.20527 -1.91626 -0.13190 1.82422 1.40485 -0.84391 -1.99373 -0.54733 1.61180 1.67205 -0.44504 -1.98260 -0.93843 1.32776 1.86494 -0.02640 -1.88337 -1.28782 0.98472 1.97496 0.39342 -1.70043 -1.57999 0.59791 1.99721 0.79575 -1.44194 -1.80194 0.18454 1.93071 1.16272 -1.11936 -1.94381 -0.23704 1.77840 1.47802 -0.74704 -1.99930 -0.64808 1.54707 1.72763 -0.34152 -1.96595 -1.03033 1.24698 1.90047 0.07918 -1.84522 -1.36678 0.89148 1.98886 0.49636 -1.64250 ... ... ..... ....... ......... ........... ............. E24 * 2.00000 0.59791 -1.64250 -1.57999 0.69780 1.99721 0.49636 -1.70043 -1.51307 0.79575 1.98886 0.39342 -1.75363 -1.44194 0.89148 1.97496 0.28938 -1.80194 -1.36678 0.98472 1.95556 0.18454 -1.84522 -1.28782 1.07522 1.93071 0.07918 -1.88337 -1.20527 1.16272 1.90047 -0.02640 -1.91626 -1.11936 1.24698 1.86494 -0.13190 -1.94381 -1.03033 1.32776 1.82422 -0.23704 -1.96595 -0.93843 1.40485 1.77840 -0.34152 -1.98260 -0.84391 1.47802 1.72763 -0.44504 -1.99373 -0.74704 1.54707 1.67205 -0.54733 -1.99930 -0.64808 1.61180 ... ... ..... ....... ......... ........... ............. E25 * 2.00000 0.49636 -1.75363 -1.36678 1.07522 1.90047 -0.13190 -1.96595 -0.84391 1.54707 1.61180 -0.74704 -1.98260 -0.23704 1.86494 1.16272 -1.28782 -1.80194 0.39342 1.99721 0.59791 -1.70043 -1.44194 0.98472 1.93071 -0.02640 -1.94381 -0.93843 1.47802 1.67205 -0.64808 -1.99373 -0.34152 1.82422 1.24698 -1.20527 -1.84522 0.28938 1.98886 0.69780 -1.64250 -1.51307 0.89148 1.95556 0.07918 -1.91626 -1.03033 1.40485 1.72763 -0.54733 -1.99930 -0.44504 1.77840 1.32776 -1.11936 -1.88337 0.18454 1.97496 0.79575 -1.57999 ... ... ..... ....... ......... ........... ............. E26 * 2.00000 0.39342 -1.84522 -1.11936 1.40485 1.67205 -0.74704 -1.96595 -0.02640 1.95556 0.79575 -1.64250 -1.44194 1.07522 1.86494 -0.34152 -1.99930 -0.44504 1.82422 1.16272 -1.36678 -1.70043 0.69780 1.97496 0.07918 -1.94381 -0.84391 1.61180 1.47802 -1.03033 -1.88337 0.28938 1.99721 0.49636 -1.80194 -1.20527 1.32776 1.72763 -0.64808 -1.98260 -0.13190 1.93071 0.89148 -1.57999 -1.51307 0.98472 1.90047 -0.23704 -1.99373 -0.54733 1.77840 1.24698 -1.28782 -1.75363 0.59791 1.98886 0.18454 -1.91626 -0.93843 1.54707 ... ... ..... ....... ......... ........... ............. E27 * 2.00000 0.28938 -1.91626 -0.84391 1.67205 1.32776 -1.28782 -1.70043 0.79575 1.93071 -0.23704 -1.99930 -0.34152 1.90047 0.89148 -1.64250 -1.36678 1.24698 1.72763 -0.74704 -1.94381 0.18454 1.99721 0.39342 -1.88337 -0.93843 1.61180 1.40485 -1.20527 -1.75363 0.69780 1.95556 -0.13190 -1.99373 -0.44504 1.86494 0.98472 -1.57999 -1.44194 1.16272 1.77840 -0.64808 -1.96595 0.07918 1.98886 0.49636 -1.84522 -1.03033 1.54707 1.47802 -1.11936 -1.80194 0.59791 1.97496 -0.02640 -1.98260 -0.54733 1.82422 1.07522 -1.51307 ... ... ..... ....... ......... ........... ............. E28 * 2.00000 0.18454 -1.96595 -0.54733 1.86494 0.89148 -1.70043 -1.20527 1.47802 1.47802 -1.20527 -1.70043 0.89148 1.86494 -0.54733 -1.96595 0.18454 2.00000 0.18454 -1.96595 -0.54733 1.86494 0.89148 -1.70043 -1.20527 1.47802 1.47802 -1.20527 -1.70043 0.89148 1.86494 -0.54733 -1.96595 0.18454 2.00000 0.18454 -1.96595 -0.54733 1.86494 0.89148 -1.70043 -1.20527 1.47802 1.47802 -1.20527 -1.70043 0.89148 1.86494 -0.54733 -1.96595 0.18454 2.00000 0.18454 -1.96595 -0.54733 1.86494 0.89148 -1.70043 -1.20527 1.47802 ... ... ..... ....... ......... ........... ............. E29 * 2.00000 0.07918 -1.99373 -0.23704 1.97496 0.39342 -1.94381 -0.54733 1.90047 0.69780 -1.84522 -0.84391 1.77840 0.98472 -1.70043 -1.11936 1.61180 1.24698 -1.51307 -1.36678 1.40485 1.47802 -1.28782 -1.57999 1.16272 1.67205 -1.03033 -1.75363 0.89148 1.82422 -0.74704 -1.88337 0.59791 1.93071 -0.44504 -1.96595 0.28938 1.98886 -0.13190 -1.99930 -0.02640 1.99721 0.18454 -1.98260 -0.34152 1.95556 0.49636 -1.91626 -0.64808 1.86494 0.79575 -1.80194 -0.93843 1.72763 1.07522 -1.64250 -1.20527 1.54707 1.32776 -1.44194 ... ... ..... ....... ......... ........... ............. E30 * 2.00000 -0.02640 -1.99930 0.07918 1.99721 -0.13190 -1.99373 0.18454 1.98886 -0.23704 -1.98260 0.28938 1.97496 -0.34152 -1.96595 0.39342 1.95556 -0.44504 -1.94381 0.49636 1.93071 -0.54733 -1.91626 0.59791 1.90047 -0.64808 -1.88337 0.69780 1.86494 -0.74704 -1.84522 0.79575 1.82422 -0.84391 -1.80194 0.89148 1.77840 -0.93843 -1.75363 0.98472 1.72763 -1.03033 -1.70043 1.07522 1.67205 -1.11936 -1.64250 1.16272 1.61180 -1.20527 -1.57999 1.24698 1.54707 -1.28782 -1.51307 1.32776 1.47802 -1.36678 -1.44194 1.40485 ... ... ..... ....... ......... ........... ............. E31 * 2.00000 -0.13190 -1.98260 0.39342 1.93071 -0.64808 -1.84522 0.89148 1.72763 -1.11936 -1.57999 1.32776 1.40485 -1.51307 -1.20527 1.67205 0.98472 -1.80194 -0.74704 1.90047 0.49636 -1.96595 -0.23704 1.99721 -0.02640 -1.99373 0.28938 1.95556 -0.54733 -1.88337 0.79575 1.77840 -1.03033 -1.64250 1.24698 1.47802 -1.44194 -1.28782 1.61180 1.07522 -1.75363 -0.84391 1.86494 0.59791 -1.94381 -0.34152 1.98886 0.07918 -1.99930 0.18454 1.97496 -0.44504 -1.91626 0.69780 1.82422 -0.93843 -1.70043 1.16272 1.54707 -1.36678 ... ... ..... ....... ......... ........... ............. E32 * 2.00000 -0.23704 -1.94381 0.69780 1.77840 -1.11936 -1.51307 1.47802 1.16272 -1.75363 -0.74704 1.93071 0.28938 -1.99930 0.18454 1.95556 -0.64808 -1.80194 1.07522 1.54707 -1.44194 -1.20527 1.72763 0.79575 -1.91626 -0.34152 1.99721 -0.13190 -1.96595 0.59791 1.82422 -1.03033 -1.57999 1.40485 1.24698 -1.70043 -0.84391 1.90047 0.39342 -1.99373 0.07918 1.97496 -0.54733 -1.84522 0.98472 1.61180 -1.36678 -1.28782 1.67205 0.89148 -1.88337 -0.44504 1.98886 -0.02640 -1.98260 0.49636 1.86494 -0.93843 -1.64250 1.32776 ... ... ..... ....... ......... ........... ............. E33 * 2.00000 -0.34152 -1.88337 0.98472 1.54707 -1.51307 -1.03033 1.86494 0.39342 -1.99930 0.28938 1.90047 -0.93843 -1.57999 1.47802 1.07522 -1.84522 -0.44504 1.99721 -0.23704 -1.91626 0.89148 1.61180 -1.44194 -1.11936 1.82422 0.49636 -1.99373 0.18454 1.93071 -0.84391 -1.64250 1.40485 1.16272 -1.80194 -0.54733 1.98886 -0.13190 -1.94381 0.79575 1.67205 -1.36678 -1.20527 1.77840 0.59791 -1.98260 0.07918 1.95556 -0.74704 -1.70043 1.32776 1.24698 -1.75363 -0.64808 1.97496 -0.02640 -1.96595 0.69780 1.72763 -1.28782 ... ... ..... ....... ......... ........... ............. E34 * 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 1.24698 -1.80194 -0.44504 2.00000 -0.44504 -1.80194 1.24698 ... ... ..... ....... ......... ........... ............. E35 * 2.00000 -0.54733 -1.70043 1.47802 0.89148 -1.96595 0.18454 1.86494 -1.20527 -1.20527 1.86494 0.18454 -1.96595 0.89148 1.47802 -1.70043 -0.54733 2.00000 -0.54733 -1.70043 1.47802 0.89148 -1.96595 0.18454 1.86494 -1.20527 -1.20527 1.86494 0.18454 -1.96595 0.89148 1.47802 -1.70043 -0.54733 2.00000 -0.54733 -1.70043 1.47802 0.89148 -1.96595 0.18454 1.86494 -1.20527 -1.20527 1.86494 0.18454 -1.96595 0.89148 1.47802 -1.70043 -0.54733 2.00000 -0.54733 -1.70043 1.47802 0.89148 -1.96595 0.18454 1.86494 -1.20527 ... ... ..... ....... ......... ........... ............. E36 * 2.00000 -0.64808 -1.57999 1.67205 0.49636 -1.99373 0.79575 1.47802 -1.75363 -0.34152 1.97496 -0.93843 -1.36678 1.82422 0.18454 -1.94381 1.07522 1.24698 -1.88337 -0.02640 1.90047 -1.20527 -1.11936 1.93071 -0.13190 -1.84522 1.32776 0.98472 -1.96595 0.28938 1.77840 -1.44194 -0.84391 1.98886 -0.44504 -1.70043 1.54707 0.69780 -1.99930 0.59791 1.61180 -1.64250 -0.54733 1.99721 -0.74704 -1.51307 1.72763 0.39342 -1.98260 0.89148 1.40485 -1.80194 -0.23704 1.95556 -1.03033 -1.28782 1.86494 0.07918 -1.91626 1.16272 ... ... ..... ....... ......... ........... ............. E37 * 2.00000 -0.74704 -1.44194 1.82422 0.07918 -1.88337 1.32776 0.89148 -1.99373 0.59791 1.54707 -1.75363 -0.23704 1.93071 -1.20527 -1.03033 1.97496 -0.44504 -1.64250 1.67205 0.39342 -1.96595 1.07522 1.16272 -1.94381 0.28938 1.72763 -1.57999 -0.54733 1.98886 -0.93843 -1.28782 1.90047 -0.13190 -1.80194 1.47802 0.69780 -1.99930 0.79575 1.40485 -1.84522 -0.02640 1.86494 -1.36678 -0.84391 1.99721 -0.64808 -1.51307 1.77840 0.18454 -1.91626 1.24698 0.98472 -1.98260 0.49636 1.61180 -1.70043 -0.34152 1.95556 -1.11936 ... ... ..... ....... ......... ........... ............. E38 * 2.00000 -0.84391 -1.28782 1.93071 -0.34152 -1.64250 1.72763 0.18454 -1.88337 1.40485 0.69780 -1.99373 0.98472 1.16272 -1.96595 0.49636 1.54707 -1.80194 -0.02640 1.82422 -1.51307 -0.54733 1.97496 -1.11936 -1.03033 1.98886 -0.64808 -1.44194 1.86494 -0.13190 -1.75363 1.61180 0.39342 -1.94381 1.24698 0.89148 -1.99930 0.79575 1.32776 -1.91626 0.28938 1.67205 -1.70043 -0.23704 1.90047 -1.36678 -0.74704 1.99721 -0.93843 -1.20527 1.95556 -0.44504 -1.57999 1.77840 0.07918 -1.84522 1.47802 0.59791 -1.98260 1.07522 ... ... ..... ....... ......... ........... ............. E39 * 2.00000 -0.93843 -1.11936 1.98886 -0.74704 -1.28782 1.95556 -0.54733 -1.44194 1.90047 -0.34152 -1.57999 1.82422 -0.13190 -1.70043 1.72763 0.07918 -1.80194 1.61180 0.28938 -1.88337 1.47802 0.49636 -1.94381 1.32776 0.69780 -1.98260 1.16272 0.89148 -1.99930 0.98472 1.07522 -1.99373 0.79575 1.24698 -1.96595 0.59791 1.40485 -1.91626 0.39342 1.54707 -1.84522 0.18454 1.67205 -1.75363 -0.02640 1.77840 -1.64250 -0.23704 1.86494 -1.51307 -0.44504 1.93071 -1.36678 -0.64808 1.97496 -1.20527 -0.84391 1.99721 -1.03033 ... ... ..... ....... ......... ........... ............. E40 * 2.00000 -1.03033 -0.93843 1.99721 -1.11936 -0.84391 1.98886 -1.20527 -0.74704 1.97496 -1.28782 -0.64808 1.95556 -1.36678 -0.54733 1.93071 -1.44194 -0.44504 1.90047 -1.51307 -0.34152 1.86494 -1.57999 -0.23704 1.82422 -1.64250 -0.13190 1.77840 -1.70043 -0.02640 1.72763 -1.75363 0.07918 1.67205 -1.80194 0.18454 1.61180 -1.84522 0.28938 1.54707 -1.88337 0.39342 1.47802 -1.91626 0.49636 1.40485 -1.94381 0.59791 1.32776 -1.96595 0.69780 1.24698 -1.98260 0.79575 1.16272 -1.99373 0.89148 1.07522 -1.99930 0.98472 ... ... ..... ....... ......... ........... ............. E41 * 2.00000 -1.11936 -0.74704 1.95556 -1.44194 -0.34152 1.82422 -1.70043 0.07918 1.61180 -1.88337 0.49636 1.32776 -1.98260 0.89148 0.98472 -1.99373 1.24698 0.59791 -1.91626 1.54707 0.18454 -1.75363 1.77840 -0.23704 -1.51307 1.93071 -0.64808 -1.20527 1.99721 -1.03033 -0.84391 1.97496 -1.36678 -0.44504 1.86494 -1.64250 -0.02640 1.67205 -1.84522 0.39342 1.40485 -1.96595 0.79575 1.07522 -1.99930 1.16272 0.69780 -1.94381 1.47802 0.28938 -1.80194 1.72763 -0.13190 -1.57999 1.90047 -0.54733 -1.28782 1.98886 -0.93843 ... ... ..... ....... ......... ........... ............. E42 * 2.00000 -1.20527 -0.54733 1.86494 -1.70043 0.18454 1.47802 -1.96595 0.89148 0.89148 -1.96595 1.47802 0.18454 -1.70043 1.86494 -0.54733 -1.20527 2.00000 -1.20527 -0.54733 1.86494 -1.70043 0.18454 1.47802 -1.96595 0.89148 0.89148 -1.96595 1.47802 0.18454 -1.70043 1.86494 -0.54733 -1.20527 2.00000 -1.20527 -0.54733 1.86494 -1.70043 0.18454 1.47802 -1.96595 0.89148 0.89148 -1.96595 1.47802 0.18454 -1.70043 1.86494 -0.54733 -1.20527 2.00000 -1.20527 -0.54733 1.86494 -1.70043 0.18454 1.47802 -1.96595 0.89148 ... ... ..... ....... ......... ........... ............. E43 * 2.00000 -1.28782 -0.34152 1.72763 -1.88337 0.69780 0.98472 -1.96595 1.54707 -0.02640 -1.51307 1.97496 -1.03033 -0.64808 1.86494 -1.75363 0.39342 1.24698 -1.99930 1.32776 0.28938 -1.70043 1.90047 -0.74704 -0.93843 1.95556 -1.57999 0.07918 1.47802 -1.98260 1.07522 0.59791 -1.84522 1.77840 -0.44504 -1.20527 1.99721 -1.36678 -0.23704 1.67205 -1.91626 0.79575 0.89148 -1.94381 1.61180 -0.13190 -1.44194 1.98886 -1.11936 -0.54733 1.82422 -1.80194 0.49636 1.16272 -1.99373 1.40485 0.18454 -1.64250 1.93071 -0.84391 ... ... ..... ....... ......... ........... ............. E44 * 2.00000 -1.36678 -0.13190 1.54707 -1.98260 1.16272 0.39342 -1.70043 1.93071 -0.93843 -0.64808 1.82422 -1.84522 0.69780 0.89148 -1.91626 1.72763 -0.44504 -1.11936 1.97496 -1.57999 0.18454 1.32776 -1.99930 1.40485 0.07918 -1.51307 1.98886 -1.20527 -0.34152 1.67205 -1.94381 0.98472 0.59791 -1.80194 1.86494 -0.74704 -0.84391 1.90047 -1.75363 0.49636 1.07522 -1.96595 1.61180 -0.23704 -1.28782 1.99721 -1.44194 -0.02640 1.47802 -1.99373 1.24698 0.28938 -1.64250 1.95556 -1.03033 -0.54733 1.77840 -1.88337 0.79575 ... ... ..... ....... ......... ........... ............. E45 * 2.00000 -1.44194 0.07918 1.32776 -1.99373 1.54707 -0.23704 -1.20527 1.97496 -1.64250 0.39342 1.07522 -1.94381 1.72763 -0.54733 -0.93843 1.90047 -1.80194 0.69780 0.79575 -1.84522 1.86494 -0.84391 -0.64808 1.77840 -1.91626 0.98472 0.49636 -1.70043 1.95556 -1.11936 -0.34152 1.61180 -1.98260 1.24698 0.18454 -1.51307 1.99721 -1.36678 -0.02640 1.40485 -1.99930 1.47802 -0.13190 -1.28782 1.98886 -1.57999 0.28938 1.16272 -1.96595 1.67205 -0.44504 -1.03033 1.93071 -1.75363 0.59791 0.89148 -1.88337 1.82422 -0.74704 ... ... ..... ....... ......... ........... ............. E46 * 2.00000 -1.51307 0.28938 1.07522 -1.91626 1.82422 -0.84391 -0.54733 1.67205 -1.98260 1.32776 -0.02640 -1.28782 1.97496 -1.70043 0.59791 0.79575 -1.80194 1.93071 -1.11936 -0.23704 1.47802 -1.99930 1.54707 -0.34152 -1.03033 1.90047 -1.84522 0.89148 0.49636 -1.64250 1.98886 -1.36678 0.07918 1.24698 -1.96595 1.72763 -0.64808 -0.74704 1.77840 -1.94381 1.16272 0.18454 -1.44194 1.99721 -1.57999 0.39342 0.98472 -1.88337 1.86494 -0.93843 -0.44504 1.61180 -1.99373 1.40485 -0.13190 -1.20527 1.95556 -1.75363 0.69780 ... ... ..... ....... ......... ........... ............. E47 * 2.00000 -1.57999 0.49636 0.79575 -1.75363 1.97496 -1.36678 0.18454 1.07522 -1.88337 1.90047 -1.11936 -0.13190 1.32776 -1.96595 1.77840 -0.84391 -0.44504 1.54707 -1.99930 1.61180 -0.54733 -0.74704 1.72763 -1.98260 1.40485 -0.23704 -1.03033 1.86494 -1.91626 1.16272 0.07918 -1.28782 1.95556 -1.80194 0.89148 0.39342 -1.51307 1.99721 -1.64250 0.59791 0.69780 -1.70043 1.98886 -1.44194 0.28938 0.98472 -1.84522 1.93071 -1.20527 -0.02640 1.24698 -1.94381 1.82422 -0.93843 -0.34152 1.47802 -1.99373 1.67205 -0.64808 ... ... ..... ....... ......... ........... ............. E48 * 2.00000 -1.64250 0.69780 0.49636 -1.51307 1.98886 -1.75363 0.89148 0.28938 -1.36678 1.95556 -1.84522 1.07522 0.07918 -1.20527 1.90047 -1.91626 1.24698 -0.13190 -1.03033 1.82422 -1.96595 1.40485 -0.34152 -0.84391 1.72763 -1.99373 1.54707 -0.54733 -0.64808 1.61180 -1.99930 1.67205 -0.74704 -0.44504 1.47802 -1.98260 1.77840 -0.93843 -0.23704 1.32776 -1.94381 1.86494 -1.11936 -0.02640 1.16272 -1.88337 1.93071 -1.28782 0.18454 0.98472 -1.80194 1.97496 -1.44194 0.39342 0.79575 -1.70043 1.99721 -1.57999 0.59791 ... ... ..... ....... ......... ........... ............. E49 * 2.00000 -1.70043 0.89148 0.18454 -1.20527 1.86494 -1.96595 1.47802 -0.54733 -0.54733 1.47802 -1.96595 1.86494 -1.20527 0.18454 0.89148 -1.70043 2.00000 -1.70043 0.89148 0.18454 -1.20527 1.86494 -1.96595 1.47802 -0.54733 -0.54733 1.47802 -1.96595 1.86494 -1.20527 0.18454 0.89148 -1.70043 2.00000 -1.70043 0.89148 0.18454 -1.20527 1.86494 -1.96595 1.47802 -0.54733 -0.54733 1.47802 -1.96595 1.86494 -1.20527 0.18454 0.89148 -1.70043 2.00000 -1.70043 0.89148 0.18454 -1.20527 1.86494 -1.96595 1.47802 -0.54733 ... ... ..... ....... ......... ........... ............. E50 * 2.00000 -1.75363 1.07522 -0.13190 -0.84391 1.61180 -1.98260 1.86494 -1.28782 0.39342 0.59791 -1.44194 1.93071 -1.94381 1.47802 -0.64808 -0.34152 1.24698 -1.84522 1.98886 -1.64250 0.89148 0.07918 -1.03033 1.72763 -1.99930 1.77840 -1.11936 0.18454 0.79575 -1.57999 1.97496 -1.88337 1.32776 -0.44504 -0.54733 1.40485 -1.91626 1.95556 -1.51307 0.69780 0.28938 -1.20527 1.82422 -1.99373 1.67205 -0.93843 -0.02640 0.98472 -1.70043 1.99721 -1.80194 1.16272 -0.23704 -0.74704 1.54707 -1.96595 1.90047 -1.36678 0.49636 ... ... ..... ....... ......... ........... ............. E51 * 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 -0.44504 1.24698 -1.80194 2.00000 -1.80194 1.24698 -0.44504 ... ... ..... ....... ......... ........... ............. E52 * 2.00000 -1.84522 1.40485 -0.74704 -0.02640 0.79575 -1.44194 1.86494 -1.99930 1.82422 -1.36678 0.69780 0.07918 -0.84391 1.47802 -1.88337 1.99721 -1.80194 1.32776 -0.64808 -0.13190 0.89148 -1.51307 1.90047 -1.99373 1.77840 -1.28782 0.59791 0.18454 -0.93843 1.54707 -1.91626 1.98886 -1.75363 1.24698 -0.54733 -0.23704 0.98472 -1.57999 1.93071 -1.98260 1.72763 -1.20527 0.49636 0.28938 -1.03033 1.61180 -1.94381 1.97496 -1.70043 1.16272 -0.44504 -0.34152 1.07522 -1.64250 1.95556 -1.96595 1.67205 -1.11936 0.39342 ... ... ..... ....... ......... ........... ............. E53 * 2.00000 -1.88337 1.54707 -1.03033 0.39342 0.28938 -0.93843 1.47802 -1.84522 1.99721 -1.91626 1.61180 -1.11936 0.49636 0.18454 -0.84391 1.40485 -1.80194 1.98886 -1.94381 1.67205 -1.20527 0.59791 0.07918 -0.74704 1.32776 -1.75363 1.97496 -1.96595 1.72763 -1.28782 0.69780 -0.02640 -0.64808 1.24698 -1.70043 1.95556 -1.98260 1.77840 -1.36678 0.79575 -0.13190 -0.54733 1.16272 -1.64250 1.93071 -1.99373 1.82422 -1.44194 0.89148 -0.23704 -0.44504 1.07522 -1.57999 1.90047 -1.99930 1.86494 -1.51307 0.98472 -0.34152 ... ... ..... ....... ......... ........... ............. E54 * 2.00000 -1.91626 1.67205 -1.28782 0.79575 -0.23704 -0.34152 0.89148 -1.36678 1.72763 -1.94381 1.99721 -1.88337 1.61180 -1.20527 0.69780 -0.13190 -0.44504 0.98472 -1.44194 1.77840 -1.96595 1.98886 -1.84522 1.54707 -1.11936 0.59791 -0.02640 -0.54733 1.07522 -1.51307 1.82422 -1.98260 1.97496 -1.80194 1.47802 -1.03033 0.49636 0.07918 -0.64808 1.16272 -1.57999 1.86494 -1.99373 1.95556 -1.75363 1.40485 -0.93843 0.39342 0.18454 -0.74704 1.24698 -1.64250 1.90047 -1.99930 1.93071 -1.70043 1.32776 -0.84391 0.28938 ... ... ..... ....... ......... ........... ............. E55 * 2.00000 -1.94381 1.77840 -1.51307 1.16272 -0.74704 0.28938 0.18454 -0.64808 1.07522 -1.44194 1.72763 -1.91626 1.99721 -1.96595 1.82422 -1.57999 1.24698 -0.84391 0.39342 0.07918 -0.54733 0.98472 -1.36678 1.67205 -1.88337 1.98886 -1.98260 1.86494 -1.64250 1.32776 -0.93843 0.49636 -0.02640 -0.44504 0.89148 -1.28782 1.61180 -1.84522 1.97496 -1.99373 1.90047 -1.70043 1.40485 -1.03033 0.59791 -0.13190 -0.34152 0.79575 -1.20527 1.54707 -1.80194 1.95556 -1.99930 1.93071 -1.75363 1.47802 -1.11936 0.69780 -0.23704 ... ... ..... ....... ......... ........... ............. E56 * 2.00000 -1.96595 1.86494 -1.70043 1.47802 -1.20527 0.89148 -0.54733 0.18454 0.18454 -0.54733 0.89148 -1.20527 1.47802 -1.70043 1.86494 -1.96595 2.00000 -1.96595 1.86494 -1.70043 1.47802 -1.20527 0.89148 -0.54733 0.18454 0.18454 -0.54733 0.89148 -1.20527 1.47802 -1.70043 1.86494 -1.96595 2.00000 -1.96595 1.86494 -1.70043 1.47802 -1.20527 0.89148 -0.54733 0.18454 0.18454 -0.54733 0.89148 -1.20527 1.47802 -1.70043 1.86494 -1.96595 2.00000 -1.96595 1.86494 -1.70043 1.47802 -1.20527 0.89148 -0.54733 0.18454 ... ... ..... ....... ......... ........... ............. E57 * 2.00000 -1.98260 1.93071 -1.84522 1.72763 -1.57999 1.40485 -1.20527 0.98472 -0.74704 0.49636 -0.23704 -0.02640 0.28938 -0.54733 0.79575 -1.03033 1.24698 -1.44194 1.61180 -1.75363 1.86494 -1.94381 1.98886 -1.99930 1.97496 -1.91626 1.82422 -1.70043 1.54707 -1.36678 1.16272 -0.93843 0.69780 -0.44504 0.18454 0.07918 -0.34152 0.59791 -0.84391 1.07522 -1.28782 1.47802 -1.64250 1.77840 -1.88337 1.95556 -1.99373 1.99721 -1.96595 1.90047 -1.80194 1.67205 -1.51307 1.32776 -1.11936 0.89148 -0.64808 0.39342 -0.13190 ... ... ..... ....... ......... ........... ............. E58 * 2.00000 -1.99373 1.97496 -1.94381 1.90047 -1.84522 1.77840 -1.70043 1.61180 -1.51307 1.40485 -1.28782 1.16272 -1.03033 0.89148 -0.74704 0.59791 -0.44504 0.28938 -0.13190 -0.02640 0.18454 -0.34152 0.49636 -0.64808 0.79575 -0.93843 1.07522 -1.20527 1.32776 -1.44194 1.54707 -1.64250 1.72763 -1.80194 1.86494 -1.91626 1.95556 -1.98260 1.99721 -1.99930 1.98886 -1.96595 1.93071 -1.88337 1.82422 -1.75363 1.67205 -1.57999 1.47802 -1.36678 1.24698 -1.11936 0.98472 -0.84391 0.69780 -0.54733 0.39342 -0.23704 0.07918 ... ... ..... ....... ......... ........... ............. E59 * 2.00000 -1.99930 1.99721 -1.99373 1.98886 -1.98260 1.97496 -1.96595 1.95556 -1.94381 1.93071 -1.91626 1.90047 -1.88337 1.86494 -1.84522 1.82422 -1.80194 1.77840 -1.75363 1.72763 -1.70043 1.67205 -1.64250 1.61180 -1.57999 1.54707 -1.51307 1.47802 -1.44194 1.40485 -1.36678 1.32776 -1.28782 1.24698 -1.20527 1.16272 -1.11936 1.07522 -1.03033 0.98472 -0.93843 0.89148 -0.84391 0.79575 -0.74704 0.69780 -0.64808 0.59791 -0.54733 0.49636 -0.44504 0.39342 -0.34152 0.28938 -0.23704 0.18454 -0.13190 0.07918 -0.02640 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.997212820643 = 2*cos(2*π/119) 1.988859050941 = 2*cos(4*π/119) 1.974961974348 = 2*cos(6*π/119) 1.955560324510 = 2*cos(8*π/119) 1.930708177304 = 2*cos(10*π/119) 1.900474800122 = 2*cos(12*π/119) 1.864944458809 = 2*cos(14*π/119) = 2*cos(2*π/17) = (−1+√17+√34−2*√17+2*√17+3*√17−√34−2*√17−2*√34+2*√17)/8 1.824216182798 = 2*cos(16*π/119) 1.778403489100 = 2*cos(18*π/119) 1.727634065909 = 2*cos(20*π/119) 1.672049416713 = 2*cos(22*π/119) 1.611804465899 = 2*cos(24*π/119) 1.547067126950 = 2*cos(26*π/119) 1.478017834441 = 2*cos(28*π/119) = 2*cos(4*π/17) = (−1+√17−√34−2*√17+2*√17+3*√17+√34−2*√17+2*√34+2*√17)/8 1.404849041135 = 2*cos(30*π/119) 1.327764681582 = 2*cos(32*π/119) 1.246979603717 = 2*cos(34*π/119) = 2*cos(2*π/7) 1.162718970043 = 2*cos(36*π/119) 1.075217630057 = 2*cos(38*π/119) 0.984719465689 = 2*cos(40*π/119) 0.891476711553 = 2*cos(42*π/119) = 2*cos(6*π/17) = (−1−√17+√34+2*√17+2*√17−3*√17−√34+2*√17+2*√34−2*√17)/8 0.795749251930 = 2*cos(44*π/119) 0.697803896418 = 2*cos(46*π/119) 0.597913636292 = 2*cos(48*π/119) 0.496356883620 = 2*cos(50*π/119) 0.393416695290 = 2*cos(52*π/119) 0.289379984067 = 2*cos(54*π/119) 0.184536718927 = 2*cos(56*π/119) = 2*cos(8*π/17) = (−1+√17+√34−2*√17−2*√17+3*√17−√34−2*√17−2*√34+2*√17)/8 0.079179116853 = 2*cos(58*π/119) -0.026399171622 = 2*cos(60*π/119) -0.131903880869 = 2*cos(62*π/119) -0.237040950343 = 2*cos(64*π/119) -0.341517344174 = 2*cos(66*π/119) -0.445041867913 = 2*cos(68*π/119) = 2*cos(4*π/7) -0.547325980144 = 2*cos(70*π/119) = 2*cos(10*π/17) = −(1+√17−√34+2*√17+2*√17−3*√17−√34+2*√17+2*√34−2*√17)/8 -0.648084596702 = 2*cos(72*π/119) -0.747036885251 = 2*cos(74*π/119) -0.843907048014 = 2*cos(76*π/119) -0.938425090474 = 2*cos(78*π/119) -1.030327573894 = 2*cos(80*π/119) -1.119358349569 = 2*cos(82*π/119) -1.205269272759 = 2*cos(84*π/119) = 2*cos(12*π/17) = −(1+√17+√34+2*√17−2*√17−3*√17+√34+2*√17−2*√34−2*√17)/8 -1.287820894312 = 2*cos(86*π/119) -1.366783128053 = 2*cos(88*π/119) -1.441935892074 = 2*cos(90*π/119) -1.513069722143 = 2*cos(92*π/119) -1.579986355517 = 2*cos(94*π/119) -1.642499283537 = 2*cos(96*π/119) -1.700434271459 = 2*cos(98*π/119) = 2*cos(14*π/17) = −(1+√17+√34+2*√17+2*√17−3*√17+√34+2*√17−2*√34−2*√17)/8 -1.753629844083 = 2*cos(100*π/119) -1.801937735805 = 2*cos(102*π/119) = 2*cos(6*π/7) -1.845223303867 = 2*cos(104*π/119) -1.883365903628 = 2*cos(106*π/119) -1.916259224821 = 2*cos(108*π/119) -1.943811587860 = 2*cos(110*π/119) -1.965946199368 = 2*cos(112*π/119) = 2*cos(16*π/17) = −(1−√17+√34−2*√17+2*√17+3*√17+√34−2*√17+2*√34+2*√17)/8 -1.982601366212 = 2*cos(114*π/119) -1.993730667454 = 2*cos(116*π/119) -1.999303083738 = 2*cos(118*π/119) Symmetry of Rotations and Cartesian products A R+p+d+f+g+h+i+j+k+l+m Rz, z, z2, z3, z4, z5, z6 E1 R+p+d+f+g+h+i+j+k+l+m {Rx, Ry}, {x, y}, {xz, yz}, {xz2, yz2}, {xz3, yz3}, {xz4, yz4}, {xz5, yz5} E2 d+f+g+h+i+j+k+l+m {x2−y2, xy}, {z(x2−y2), xyz}, {z2(x2−y2), xyz2}, {z3(x2−y2), xyz3}, {z4(x2−y2), xyz4} E3 f+g+h+i+j+k+l+m {x(x2−3y2), y(3x2−y2)}, {xz(x2−3y2), yz(3x2−y2)}, {xz2(x2−3y2), yz2(3x2−y2)}, {xz3(x2−3y2), yz3(3x2−y2)} E4 g+h+i+j+k+l+m {(x2−y2)2−4x2y2, xy(x2−y2)}, {z((x2−y2)2−4x2y2), xyz(x2−y2)}, {z2((x2−y2)2−4x2y2), xyz2(x2−y2)} E5 h+i+j+k+l+m {x(x2−(5+2√5)y2)(x2−(5−2√5)y2), y((5+2√5)x2−y2)((5−2√5)x2−y2)}, {xz(x2−(5+2√5)y2)(x2−(5−2√5)y2), yz((5+2√5)x2−y2)((5−2√5)x2−y2)} E6 i+j+k+l+m {x2(x2−3y2)2−y2(3x2−y2)2, xy(x2−3y2)(3x2−y2)} E7 j+k+l+m E8 k+l+m E9 l+m E10 m Notes: α The order of the C119 point group is 119, and the order of the principal axis (C119) is 119. The group has 60 irreducible representations. β The C119 point group is generated by one single symmetry element, C119. Therefore, it is a cyclic group. γ The lowest nonvanishing multipole moment in C119 is 2 (dipole moment). δ This is an Abelian point group (the commutative law holds between all symmetry operations). The C119 group is Abelian because it contains only one symmetry element, all the powers of which necessarily commute (sufficient condition). In Abelian groups, all symmetry operations form a class of their own, and all irreducible representations are one-dimensional. ε Because the group is Abelian and the maximum order of rotation is >2, some irreducible representations have complex characters. These 118 cases have been combined into 59 two-dimensional representations that are no longer irreducible but have real-valued characters. Accordingly, 59 pairs of left and right rotations have been combined into one two-membered pseudo-class each. ζ The 59 reducible “E” representations almost behave like true irreducible representations. Their norm, however, is twice the group order. Therefore, they have been marked with an asterisk in the table. This is essential when trying to decompose a reducible representation into “irreducible” ones using the familiar projection formula. η The point group is chiral, as it does not contain any mirroring operation. θ Some of the characters in the table are irrational because the order of the principal axis is neither 1,2,3,4 nor 6. These irrational values can be expressed as cosine values, or as solutions of algebraic equations with a leading coefficient of 1. All characters are algebraic integers of a degree much less than half the order of the principal axis. ι The point group corresponds to a polygon inconstructible by the classical means of ruler and compass. Yet it becomes constructible if angle trisection is allowed, e.g., with neusis construction or origami. This is because the order of the principal axis is given by a product of any number of different Pierpont primes (...,5,7,13,17,19,37,73,97,109,163,...) times arbitrary powers of two and three. While some characters of this group can be expressed using real integers and square roots alone, others need complex numbers and third roots. κ That a regular 17-gon can be constructed with compass and ruler was unknown to mathematicians until Gauss proved it in 1796. The first actual construction was performed thirty years later by Johannes Erchinger in 1825.
| C117 | ||
| C118 | ||
| C119 | C119v C119h D119 D119h D119d | |
| C120 | ||
| C121 |
This Character Table for the C119 point group was created by Gernot Katzer.
For other groups and some explanations, see the Main Page.