Character table for the D119 point group

D119    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 C119^59 119 C2'      <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> 
A1       1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000     ... ... ....T ....... ........T ........... ............T
A2       1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000     ..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   0.00000     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   0.00000     ... ... 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   0.00000     ... ... ..... 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   0.00000     ... ... ..... ....... 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   0.00000     ... ... ..... ....... ......... 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   0.00000     ... ... ..... ....... ......... ........... 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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............
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   0.00000     ... ... ..... ....... ......... ........... .............

 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

A1   d+g+i+k+m              z2, z4, z6 
A2   R+p+f+h+j+l            Rz, z, z3, z5 
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      {x2y2, xy}, {z(x2y2), xyz}, {z2(x2y2), xyz2}, {z3(x2y2), xyz3}, {z4(x2y2), xyz4} 
E3   f+g+h+i+j+k+l+m        {x(x2−3y2), y(3x2y2)}, {xz(x2−3y2), yz(3x2y2)}, {xz2(x2−3y2), yz2(3x2y2)}, {xz3(x2−3y2), yz3(3x2y2)} 
E4   g+h+i+j+k+l+m          {(x2y2)2−4x2y2, xy(x2y2)}, {z((x2y2)2−4x2y2), xyz(x2y2)}, {z2((x2y2)2−4x2y2), xyz2(x2y2)} 
E5   h+i+j+k+l+m            {x(x2−(5+2√5)y2)(x2−(5−2√5)y2), y((5+2√5)x2y2)((5−2√5)x2y2)}, {xz(x2−(5+2√5)y2)(x2−(5−2√5)y2), yz((5+2√5)x2y2)((5−2√5)x2y2)} 
E6   i+j+k+l+m              {x2(x2−3y2)2y2(3x2y2)2, xy(x2−3y2)(3x2y2)} 
E7   j+k+l+m 
E8   k+l+m 
E9   l+m 
E10  m 

 Notes:

    α  The order of the D119 point group is 238, and the order of the principal axis (C119) is 119. The group has 61 irreducible representations.

    β  The D119 point group is isomorphic to C119v.

    γ  The D119 point group is generated by two symmetry elements, C119 and a perpendicular C2.
       Also, the group may be generated from two C2 axes (some pairs will yield smaller groups, though; choosing a minimum angle is safe).

    δ  The lowest nonvanishing multipole moment in D119 is 4 (quadrupole moment).

    ε  This point group is non-Abelian (some symmetry operations are not commutative).
       Therefore, the character table contains multi-membered classes and degenerate irreducible representations.

    ζ  The point group is chiral, as it does not contain any mirroring operation.

    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.

    θ  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.

    ι  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.

This Character Table for the D119 point group was created by Gernot Katzer.

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