Character table for the C125v point group

C125v   E         2 C125    2 C125^2  2 C125^3  2 C125^4  2 C25     2 C125^6  2 C125^7  2 C125^8  2 C125^9  2 C25^2   2 C125^11 2 C125^12 2 C125^13 2 C125^14 2 C25^3   2 C125^16 2 C125^17 2 C125^18 2 C125^19 2 C25^4   2 C125^21 2 C125^22 2 C125^23 2 C125^24 2 C5      2 C125^26 2 C125^27 2 C125^28 2 C125^29 2 C25^6   2 C125^31 2 C125^32 2 C125^33 2 C125^34 2 C25^7   2 C125^36 2 C125^37 2 C125^38 2 C125^39 2 C25^8   2 C125^41 2 C125^42 2 C125^43 2 C125^44 2 C25^9   2 C125^46 2 C125^47 2 C125^48 2 C125^49 2 C5^2    2 C125^51 2 C125^52 2 C125^53 2 C125^54 2 C25^11  2 C125^56 2 C125^57 2 C125^58 2 C125^59 2 C25^12  2 C125^61 2 C125^62 125 sv       <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> 
A1       1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000     ... ..T ....T ......T ........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   1.00000   1.00000  -1.00000     ..T ... ..... ....... ......... ........... .............
E1       2.00000   1.99747   1.98990   1.97730   1.95971   1.93717   1.90973   1.87747   1.84046   1.79881   1.75261   1.70199   1.64707   1.58798   1.52489   1.45794   1.38731   1.31317   1.23572   1.15515   1.07165   0.98545   0.89677   0.80581   0.71282   0.61803   0.52168   0.42401   0.32527   0.22571   0.12558   0.02513  -0.07538  -0.17570  -0.27558  -0.37476  -0.47300  -0.57004  -0.66564  -0.75956  -0.85156  -0.94141  -1.02888  -1.11375  -1.19581  -1.27485  -1.35067  -1.42307  -1.49188  -1.55692  -1.61803  -1.67506  -1.72785  -1.77627  -1.82021  -1.85955  -1.89420  -1.92406  -1.94905  -1.96913  -1.98423  -1.99432  -1.99937   0.00000     TT. TT. ..TT. ....TT. ......TT. ........TT. ..........TT.
E2       2.00000   1.98990   1.95971   1.90973   1.84046   1.75261   1.64707   1.52489   1.38731   1.23572   1.07165   0.89677   0.71282   0.52168   0.32527   0.12558  -0.07538  -0.27558  -0.47300  -0.66564  -0.85156  -1.02888  -1.19581  -1.35067  -1.49188  -1.61803  -1.72785  -1.82021  -1.89420  -1.94905  -1.98423  -1.99937  -1.99432  -1.96913  -1.92406  -1.85955  -1.77627  -1.67506  -1.55692  -1.42307  -1.27485  -1.11375  -0.94141  -0.75956  -0.57004  -0.37476  -0.17570   0.02513   0.22571   0.42401   0.61803   0.80581   0.98545   1.15515   1.31317   1.45794   1.58798   1.70199   1.79881   1.87747   1.93717   1.97730   1.99747   0.00000     ... ... TT... ..TT... ....TT... ......TT... ........TT...
E3       2.00000   1.97730   1.90973   1.79881   1.64707   1.45794   1.23572   0.98545   0.71282   0.42401   0.12558  -0.17570  -0.47300  -0.75956  -1.02888  -1.27485  -1.49188  -1.67506  -1.82021  -1.92406  -1.98423  -1.99937  -1.96913  -1.89420  -1.77627  -1.61803  -1.42307  -1.19581  -0.94141  -0.66564  -0.37476  -0.07538   0.22571   0.52168   0.80581   1.07165   1.31317   1.52489   1.70199   1.84046   1.93717   1.98990   1.99747   1.95971   1.87747   1.75261   1.58798   1.38731   1.15515   0.89677   0.61803   0.32527   0.02513  -0.27558  -0.57004  -0.85156  -1.11375  -1.35067  -1.55692  -1.72785  -1.85955  -1.94905  -1.99432   0.00000     ... ... ..... TT..... ..TT..... ....TT..... ......TT.....
E4       2.00000   1.95971   1.84046   1.64707   1.38731   1.07165   0.71282   0.32527  -0.07538  -0.47300  -0.85156  -1.19581  -1.49188  -1.72785  -1.89420  -1.98423  -1.99432  -1.92406  -1.77627  -1.55692  -1.27485  -0.94141  -0.57004  -0.17570   0.22571   0.61803   0.98545   1.31317   1.58798   1.79881   1.93717   1.99747   1.97730   1.87747   1.70199   1.45794   1.15515   0.80581   0.42401   0.02513  -0.37476  -0.75956  -1.11375  -1.42307  -1.67506  -1.85955  -1.96913  -1.99937  -1.94905  -1.82021  -1.61803  -1.35067  -1.02888  -0.66564  -0.27558   0.12558   0.52168   0.89677   1.23572   1.52489   1.75261   1.90973   1.98990   0.00000     ... ... ..... ....... TT....... ..TT....... ....TT.......
E5       2.00000   1.93717   1.75261   1.45794   1.07165   0.61803   0.12558  -0.37476  -0.85156  -1.27485  -1.61803  -1.85955  -1.98423  -1.98423  -1.85955  -1.61803  -1.27485  -0.85156  -0.37476   0.12558   0.61803   1.07165   1.45794   1.75261   1.93717   2.00000   1.93717   1.75261   1.45794   1.07165   0.61803   0.12558  -0.37476  -0.85156  -1.27485  -1.61803  -1.85955  -1.98423  -1.98423  -1.85955  -1.61803  -1.27485  -0.85156  -0.37476   0.12558   0.61803   1.07165   1.45794   1.75261   1.93717   2.00000   1.93717   1.75261   1.45794   1.07165   0.61803   0.12558  -0.37476  -0.85156  -1.27485  -1.61803  -1.85955  -1.98423   0.00000     ... ... ..... ....... ......... TT......... ..TT.........
E6       2.00000   1.90973   1.64707   1.23572   0.71282   0.12558  -0.47300  -1.02888  -1.49188  -1.82021  -1.98423  -1.96913  -1.77627  -1.42307  -0.94141  -0.37476   0.22571   0.80581   1.31317   1.70199   1.93717   1.99747   1.87747   1.58798   1.15515   0.61803   0.02513  -0.57004  -1.11375  -1.55692  -1.85955  -1.99432  -1.94905  -1.72785  -1.35067  -0.85156  -0.27558   0.32527   0.89677   1.38731   1.75261   1.95971   1.98990   1.84046   1.52489   1.07165   0.52168  -0.07538  -0.66564  -1.19581  -1.61803  -1.89420  -1.99937  -1.92406  -1.67506  -1.27485  -0.75956  -0.17570   0.42401   0.98545   1.45794   1.79881   1.97730   0.00000     ... ... ..... ....... ......... ........... TT...........
E7       2.00000   1.87747   1.52489   0.98545   0.32527  -0.37476  -1.02888  -1.55692  -1.89420  -1.99937  -1.85955  -1.49188  -0.94141  -0.27558   0.42401   1.07165   1.58798   1.90973   1.99747   1.84046   1.45794   0.89677   0.22571  -0.47300  -1.11375  -1.61803  -1.92406  -1.99432  -1.82021  -1.42307  -0.85156  -0.17570   0.52168   1.15515   1.64707   1.93717   1.98990   1.79881   1.38731   0.80581   0.12558  -0.57004  -1.19581  -1.67506  -1.94905  -1.98423  -1.77627  -1.35067  -0.75956  -0.07538   0.61803   1.23572   1.70199   1.95971   1.97730   1.75261   1.31317   0.71282   0.02513  -0.66564  -1.27485  -1.72785  -1.96913   0.00000     ... ... ..... ....... ......... ........... .............
E8       2.00000   1.84046   1.38731   0.71282  -0.07538  -0.85156  -1.49188  -1.89420  -1.99432  -1.77627  -1.27485  -0.57004   0.22571   0.98545   1.58798   1.93717   1.97730   1.70199   1.15515   0.42401  -0.37476  -1.11375  -1.67506  -1.96913  -1.94905  -1.61803  -1.02888  -0.27558   0.52168   1.23572   1.75261   1.98990   1.90973   1.52489   0.89677   0.12558  -0.66564  -1.35067  -1.82021  -1.99937  -1.85955  -1.42307  -0.75956   0.02513   0.80581   1.45794   1.87747   1.99747   1.79881   1.31317   0.61803  -0.17570  -0.94141  -1.55692  -1.92406  -1.98423  -1.72785  -1.19581  -0.47300   0.32527   1.07165   1.64707   1.95971   0.00000     ... ... ..... ....... ......... ........... .............
E9       2.00000   1.79881   1.23572   0.42401  -0.47300  -1.27485  -1.82021  -1.99937  -1.77627  -1.19581  -0.37476   0.52168   1.31317   1.84046   1.99747   1.75261   1.15515   0.32527  -0.57004  -1.35067  -1.85955  -1.99432  -1.72785  -1.11375  -0.27558   0.61803   1.38731   1.87747   1.98990   1.70199   1.07165   0.22571  -0.66564  -1.42307  -1.89420  -1.98423  -1.67506  -1.02888  -0.17570   0.71282   1.45794   1.90973   1.97730   1.64707   0.98545   0.12558  -0.75956  -1.49188  -1.92406  -1.96913  -1.61803  -0.94141  -0.07538   0.80581   1.52489   1.93717   1.95971   1.58798   0.89677   0.02513  -0.85156  -1.55692  -1.94905   0.00000     ... ... ..... ....... ......... ........... .............
E10      2.00000   1.75261   1.07165   0.12558  -0.85156  -1.61803  -1.98423  -1.85955  -1.27485  -0.37476   0.61803   1.45794   1.93717   1.93717   1.45794   0.61803  -0.37476  -1.27485  -1.85955  -1.98423  -1.61803  -0.85156   0.12558   1.07165   1.75261   2.00000   1.75261   1.07165   0.12558  -0.85156  -1.61803  -1.98423  -1.85955  -1.27485  -0.37476   0.61803   1.45794   1.93717   1.93717   1.45794   0.61803  -0.37476  -1.27485  -1.85955  -1.98423  -1.61803  -0.85156   0.12558   1.07165   1.75261   2.00000   1.75261   1.07165   0.12558  -0.85156  -1.61803  -1.98423  -1.85955  -1.27485  -0.37476   0.61803   1.45794   1.93717   0.00000     ... ... ..... ....... ......... ........... .............
E11      2.00000   1.70199   0.89677  -0.17570  -1.19581  -1.85955  -1.96913  -1.49188  -0.57004   0.52168   1.45794   1.95971   1.87747   1.23572   0.22571  -0.85156  -1.67506  -1.99937  -1.72785  -0.94141   0.12558   1.15515   1.84046   1.97730   1.52489   0.61803  -0.47300  -1.42307  -1.94905  -1.89420  -1.27485  -0.27558   0.80581   1.64707   1.99747   1.75261   0.98545  -0.07538  -1.11375  -1.82021  -1.98423  -1.55692  -0.66564   0.42401   1.38731   1.93717   1.90973   1.31317   0.32527  -0.75956  -1.61803  -1.99432  -1.77627  -1.02888   0.02513   1.07165   1.79881   1.98990   1.58798   0.71282  -0.37476  -1.35067  -1.92406   0.00000     ... ... ..... ....... ......... ........... .............
E12      2.00000   1.64707   0.71282  -0.47300  -1.49188  -1.98423  -1.77627  -0.94141   0.22571   1.31317   1.93717   1.87747   1.15515   0.02513  -1.11375  -1.85955  -1.94905  -1.35067  -0.27558   0.89677   1.75261   1.98990   1.52489   0.52168  -0.66564  -1.61803  -1.99937  -1.67506  -0.75956   0.42401   1.45794   1.97730   1.79881   0.98545  -0.17570  -1.27485  -1.92406  -1.89420  -1.19581  -0.07538   1.07165   1.84046   1.95971   1.38731   0.32527  -0.85156  -1.72785  -1.99432  -1.55692  -0.57004   0.61803   1.58798   1.99747   1.70199   0.80581  -0.37476  -1.42307  -1.96913  -1.82021  -1.02888   0.12558   1.23572   1.90973   0.00000     ... ... ..... ....... ......... ........... .............
E13      2.00000   1.58798   0.52168  -0.75956  -1.72785  -1.98423  -1.42307  -0.27558   0.98545   1.84046   1.93717   1.23572   0.02513  -1.19581  -1.92406  -1.85955  -1.02888   0.22571   1.38731   1.97730   1.75261   0.80581  -0.47300  -1.55692  -1.99937  -1.61803  -0.57004   0.71282   1.70199   1.98990   1.45794   0.32527  -0.94141  -1.82021  -1.94905  -1.27485  -0.07538   1.15515   1.90973   1.87747   1.07165  -0.17570  -1.35067  -1.96913  -1.77627  -0.85156   0.42401   1.52489   1.99747   1.64707   0.61803  -0.66564  -1.67506  -1.99432  -1.49188  -0.37476   0.89677   1.79881   1.95971   1.31317   0.12558  -1.11375  -1.89420   0.00000     ... ... ..... ....... ......... ........... .............
E14      2.00000   1.52489   0.32527  -1.02888  -1.89420  -1.85955  -0.94141   0.42401   1.58798   1.99747   1.45794   0.22571  -1.11375  -1.92406  -1.82021  -0.85156   0.52168   1.64707   1.98990   1.38731   0.12558  -1.19581  -1.94905  -1.77627  -0.75956   0.61803   1.70199   1.97730   1.31317   0.02513  -1.27485  -1.96913  -1.72785  -0.66564   0.71282   1.75261   1.95971   1.23572  -0.07538  -1.35067  -1.98423  -1.67506  -0.57004   0.80581   1.79881   1.93717   1.15515  -0.17570  -1.42307  -1.99432  -1.61803  -0.47300   0.89677   1.84046   1.90973   1.07165  -0.27558  -1.49188  -1.99937  -1.55692  -0.37476   0.98545   1.87747   0.00000     ... ... ..... ....... ......... ........... .............
E15      2.00000   1.45794   0.12558  -1.27485  -1.98423  -1.61803  -0.37476   1.07165   1.93717   1.75261   0.61803  -0.85156  -1.85955  -1.85955  -0.85156   0.61803   1.75261   1.93717   1.07165  -0.37476  -1.61803  -1.98423  -1.27485   0.12558   1.45794   2.00000   1.45794   0.12558  -1.27485  -1.98423  -1.61803  -0.37476   1.07165   1.93717   1.75261   0.61803  -0.85156  -1.85955  -1.85955  -0.85156   0.61803   1.75261   1.93717   1.07165  -0.37476  -1.61803  -1.98423  -1.27485   0.12558   1.45794   2.00000   1.45794   0.12558  -1.27485  -1.98423  -1.61803  -0.37476   1.07165   1.93717   1.75261   0.61803  -0.85156  -1.85955   0.00000     ... ... ..... ....... ......... ........... .............
E16      2.00000   1.38731  -0.07538  -1.49188  -1.99432  -1.27485   0.22571   1.58798   1.97730   1.15515  -0.37476  -1.67506  -1.94905  -1.02888   0.52168   1.75261   1.90973   0.89677  -0.66564  -1.82021  -1.85955  -0.75956   0.80581   1.87747   1.79881   0.61803  -0.94141  -1.92406  -1.72785  -0.47300   1.07165   1.95971   1.64707   0.32527  -1.19581  -1.98423  -1.55692  -0.17570   1.31317   1.99747   1.45794   0.02513  -1.42307  -1.99937  -1.35067   0.12558   1.52489   1.98990   1.23572  -0.27558  -1.61803  -1.96913  -1.11375   0.42401   1.70199   1.93717   0.98545  -0.57004  -1.77627  -1.89420  -0.85156   0.71282   1.84046   0.00000     ... ... ..... ....... ......... ........... .............
E17      2.00000   1.31317  -0.27558  -1.67506  -1.92406  -0.85156   0.80581   1.90973   1.70199   0.32527  -1.27485  -1.99937  -1.35067   0.22571   1.64707   1.93717   0.89677  -0.75956  -1.89420  -1.72785  -0.37476   1.23572   1.99747   1.38731  -0.17570  -1.61803  -1.94905  -0.94141   0.71282   1.87747   1.75261   0.42401  -1.19581  -1.99432  -1.42307   0.12558   1.58798   1.95971   0.98545  -0.66564  -1.85955  -1.77627  -0.47300   1.15515   1.98990   1.45794  -0.07538  -1.55692  -1.96913  -1.02888   0.61803   1.84046   1.79881   0.52168  -1.11375  -1.98423  -1.49188   0.02513   1.52489   1.97730   1.07165  -0.57004  -1.82021   0.00000     ... ... ..... ....... ......... ........... .............
E18      2.00000   1.23572  -0.47300  -1.82021  -1.77627  -0.37476   1.31317   1.99747   1.15515  -0.57004  -1.85955  -1.72785  -0.27558   1.38731   1.98990   1.07165  -0.66564  -1.89420  -1.67506  -0.17570   1.45794   1.97730   0.98545  -0.75956  -1.92406  -1.61803  -0.07538   1.52489   1.95971   0.89677  -0.85156  -1.94905  -1.55692   0.02513   1.58798   1.93717   0.80581  -0.94141  -1.96913  -1.49188   0.12558   1.64707   1.90973   0.71282  -1.02888  -1.98423  -1.42307   0.22571   1.70199   1.87747   0.61803  -1.11375  -1.99432  -1.35067   0.32527   1.75261   1.84046   0.52168  -1.19581  -1.99937  -1.27485   0.42401   1.79881   0.00000     ... ... ..... ....... ......... ........... .............
E19      2.00000   1.15515  -0.66564  -1.92406  -1.55692   0.12558   1.70199   1.84046   0.42401  -1.35067  -1.98423  -0.94141   0.89677   1.97730   1.38731  -0.37476  -1.82021  -1.72785  -0.17570   1.52489   1.93717   0.71282  -1.11375  -1.99937  -1.19581   0.61803   1.90973   1.58798  -0.07538  -1.67506  -1.85955  -0.47300   1.31317   1.98990   0.98545  -0.85156  -1.96913  -1.42307   0.32527   1.79881   1.75261   0.22571  -1.49188  -1.94905  -0.75956   1.07165   1.99747   1.23572  -0.57004  -1.89420  -1.61803   0.02513   1.64707   1.87747   0.52168  -1.27485  -1.99432  -1.02888   0.80581   1.95971   1.45794  -0.27558  -1.77627   0.00000     ... ... ..... ....... ......... ........... .............
E20      2.00000   1.07165  -0.85156  -1.98423  -1.27485   0.61803   1.93717   1.45794  -0.37476  -1.85955  -1.61803   0.12558   1.75261   1.75261   0.12558  -1.61803  -1.85955  -0.37476   1.45794   1.93717   0.61803  -1.27485  -1.98423  -0.85156   1.07165   2.00000   1.07165  -0.85156  -1.98423  -1.27485   0.61803   1.93717   1.45794  -0.37476  -1.85955  -1.61803   0.12558   1.75261   1.75261   0.12558  -1.61803  -1.85955  -0.37476   1.45794   1.93717   0.61803  -1.27485  -1.98423  -0.85156   1.07165   2.00000   1.07165  -0.85156  -1.98423  -1.27485   0.61803   1.93717   1.45794  -0.37476  -1.85955  -1.61803   0.12558   1.75261   0.00000     ... ... ..... ....... ......... ........... .............
E21      2.00000   0.98545  -1.02888  -1.99937  -0.94141   1.07165   1.99747   0.89677  -1.11375  -1.99432  -0.85156   1.15515   1.98990   0.80581  -1.19581  -1.98423  -0.75956   1.23572   1.97730   0.71282  -1.27485  -1.96913  -0.66564   1.31317   1.95971   0.61803  -1.35067  -1.94905  -0.57004   1.38731   1.93717   0.52168  -1.42307  -1.92406  -0.47300   1.45794   1.90973   0.42401  -1.49188  -1.89420  -0.37476   1.52489   1.87747   0.32527  -1.55692  -1.85955  -0.27558   1.58798   1.84046   0.22571  -1.61803  -1.82021  -0.17570   1.64707   1.79881   0.12558  -1.67506  -1.77627  -0.07538   1.70199   1.75261   0.02513  -1.72785   0.00000     ... ... ..... ....... ......... ........... .............
E22      2.00000   0.89677  -1.19581  -1.96913  -0.57004   1.45794   1.87747   0.22571  -1.67506  -1.72785   0.12558   1.84046   1.52489  -0.47300  -1.94905  -1.27485   0.80581   1.99747   0.98545  -1.11375  -1.98423  -0.66564   1.38731   1.90973   0.32527  -1.61803  -1.77627   0.02513   1.79881   1.58798  -0.37476  -1.92406  -1.35067   0.71282   1.98990   1.07165  -1.02888  -1.99432  -0.75956   1.31317   1.93717   0.42401  -1.55692  -1.82021  -0.07538   1.75261   1.64707  -0.27558  -1.89420  -1.42307   0.61803   1.97730   1.15515  -0.94141  -1.99937  -0.85156   1.23572   1.95971   0.52168  -1.49188  -1.85955  -0.17570   1.70199   0.00000     ... ... ..... ....... ......... ........... .............
E23      2.00000   0.80581  -1.35067  -1.89420  -0.17570   1.75261   1.58798  -0.47300  -1.96913  -1.11375   1.07165   1.97730   0.52168  -1.55692  -1.77627   0.12558   1.87747   1.38731  -0.75956  -1.99937  -0.85156   1.31317   1.90973   0.22571  -1.72785  -1.61803   0.42401   1.95971   1.15515  -1.02888  -1.98423  -0.57004   1.52489   1.79881  -0.07538  -1.85955  -1.42307   0.71282   1.99747   0.89677  -1.27485  -1.92406  -0.27558   1.70199   1.64707  -0.37476  -1.94905  -1.19581   0.98545   1.98990   0.61803  -1.49188  -1.82021   0.02513   1.84046   1.45794  -0.66564  -1.99432  -0.94141   1.23572   1.93717   0.32527  -1.67506   0.00000     ... ... ..... ....... ......... ........... .............
E24      2.00000   0.71282  -1.49188  -1.77627   0.22571   1.93717   1.15515  -1.11375  -1.94905  -0.27558   1.75261   1.52489  -0.66564  -1.99937  -0.75956   1.45794   1.79881  -0.17570  -1.92406  -1.19581   1.07165   1.95971   0.32527  -1.72785  -1.55692   0.61803   1.99747   0.80581  -1.42307  -1.82021   0.12558   1.90973   1.23572  -1.02888  -1.96913  -0.37476   1.70199   1.58798  -0.57004  -1.99432  -0.85156   1.38731   1.84046  -0.07538  -1.89420  -1.27485   0.98545   1.97730   0.42401  -1.67506  -1.61803   0.52168   1.98990   0.89677  -1.35067  -1.85955   0.02513   1.87747   1.31317  -0.94141  -1.98423  -0.47300   1.64707   0.00000     ... ... ..... ....... ......... ........... .............
E25      2.00000   0.61803  -1.61803  -1.61803   0.61803   2.00000   0.61803  -1.61803  -1.61803   0.61803   2.00000   0.61803  -1.61803  -1.61803   0.61803   2.00000   0.61803  -1.61803  -1.61803   0.61803   2.00000   0.61803  -1.61803  -1.61803   0.61803   2.00000   0.61803  -1.61803  -1.61803   0.61803   2.00000   0.61803  -1.61803  -1.61803   0.61803   2.00000   0.61803  -1.61803  -1.61803   0.61803   2.00000   0.61803  -1.61803  -1.61803   0.61803   2.00000   0.61803  -1.61803  -1.61803   0.61803   2.00000   0.61803  -1.61803  -1.61803   0.61803   2.00000   0.61803  -1.61803  -1.61803   0.61803   2.00000   0.61803  -1.61803   0.00000     ... ... ..... ....... ......... ........... .............
E26      2.00000   0.52168  -1.72785  -1.42307   0.98545   1.93717   0.02513  -1.92406  -1.02888   1.38731   1.75261  -0.47300  -1.99937  -0.57004   1.70199   1.45794  -0.94141  -1.94905  -0.07538   1.90973   1.07165  -1.35067  -1.77627   0.42401   1.99747   0.61803  -1.67506  -1.49188   0.89677   1.95971   0.12558  -1.89420  -1.11375   1.31317   1.79881  -0.37476  -1.99432  -0.66564   1.64707   1.52489  -0.85156  -1.96913  -0.17570   1.87747   1.15515  -1.27485  -1.82021   0.32527   1.98990   0.71282  -1.61803  -1.55692   0.80581   1.97730   0.22571  -1.85955  -1.19581   1.23572   1.84046  -0.27558  -1.98423  -0.75956   1.58798   0.00000     ... ... ..... ....... ......... ........... .............
E27      2.00000   0.42401  -1.82021  -1.19581   1.31317   1.75261  -0.57004  -1.99432  -0.27558   1.87747   1.07165  -1.42307  -1.67506   0.71282   1.97730   0.12558  -1.92406  -0.94141   1.52489   1.58798  -0.85156  -1.94905   0.02513   1.95971   0.80581  -1.61803  -1.49188   0.98545   1.90973  -0.17570  -1.98423  -0.66564   1.70199   1.38731  -1.11375  -1.85955   0.32527   1.99747   0.52168  -1.77627  -1.27485   1.23572   1.79881  -0.47300  -1.99937  -0.37476   1.84046   1.15515  -1.35067  -1.72785   0.61803   1.98990   0.22571  -1.89420  -1.02888   1.45794   1.64707  -0.75956  -1.96913  -0.07538   1.93717   0.89677  -1.55692   0.00000     ... ... ..... ....... ......... ........... .............
E28      2.00000   0.32527  -1.89420  -0.94141   1.58798   1.45794  -1.11375  -1.82021   0.52168   1.98990   0.12558  -1.94905  -0.75956   1.70199   1.31317  -1.27485  -1.72785   0.71282   1.95971  -0.07538  -1.98423  -0.57004   1.79881   1.15515  -1.42307  -1.61803   0.89677   1.90973  -0.27558  -1.99937  -0.37476   1.87747   0.98545  -1.55692  -1.49188   1.07165   1.84046  -0.47300  -1.99432  -0.17570   1.93717   0.80581  -1.67506  -1.35067   1.23572   1.75261  -0.66564  -1.96913   0.02513   1.97730   0.61803  -1.77627  -1.19581   1.38731   1.64707  -0.85156  -1.92406   0.22571   1.99747   0.42401  -1.85955  -1.02888   1.52489   0.00000     ... ... ..... ....... ......... ........... .............
E29      2.00000   0.22571  -1.94905  -0.66564   1.79881   1.07165  -1.55692  -1.42307   1.23572   1.70199  -0.85156  -1.89420   0.42401   1.98990   0.02513  -1.98423  -0.47300   1.87747   0.89677  -1.67506  -1.27485   1.38731   1.58798  -1.02888  -1.82021   0.61803   1.95971  -0.17570  -1.99937  -0.27558   1.93717   0.71282  -1.77627  -1.11375   1.52489   1.45794  -1.19581  -1.72785   0.80581   1.90973  -0.37476  -1.99432  -0.07538   1.97730   0.52168  -1.85955  -0.94141   1.64707   1.31317  -1.35067  -1.61803   0.98545   1.84046  -0.57004  -1.96913   0.12558   1.99747   0.32527  -1.92406  -0.75956   1.75261   1.15515  -1.49188   0.00000     ... ... ..... ....... ......... ........... .............
E30      2.00000   0.12558  -1.98423  -0.37476   1.93717   0.61803  -1.85955  -0.85156   1.75261   1.07165  -1.61803  -1.27485   1.45794   1.45794  -1.27485  -1.61803   1.07165   1.75261  -0.85156  -1.85955   0.61803   1.93717  -0.37476  -1.98423   0.12558   2.00000   0.12558  -1.98423  -0.37476   1.93717   0.61803  -1.85955  -0.85156   1.75261   1.07165  -1.61803  -1.27485   1.45794   1.45794  -1.27485  -1.61803   1.07165   1.75261  -0.85156  -1.85955   0.61803   1.93717  -0.37476  -1.98423   0.12558   2.00000   0.12558  -1.98423  -0.37476   1.93717   0.61803  -1.85955  -0.85156   1.75261   1.07165  -1.61803  -1.27485   1.45794   0.00000     ... ... ..... ....... ......... ........... .............
E31      2.00000   0.02513  -1.99937  -0.07538   1.99747   0.12558  -1.99432  -0.17570   1.98990   0.22571  -1.98423  -0.27558   1.97730   0.32527  -1.96913  -0.37476   1.95971   0.42401  -1.94905  -0.47300   1.93717   0.52168  -1.92406  -0.57004   1.90973   0.61803  -1.89420  -0.66564   1.87747   0.71282  -1.85955  -0.75956   1.84046   0.80581  -1.82021  -0.85156   1.79881   0.89677  -1.77627  -0.94141   1.75261   0.98545  -1.72785  -1.02888   1.70199   1.07165  -1.67506  -1.11375   1.64707   1.15515  -1.61803  -1.19581   1.58798   1.23572  -1.55692  -1.27485   1.52489   1.31317  -1.49188  -1.35067   1.45794   1.38731  -1.42307   0.00000     ... ... ..... ....... ......... ........... .............
E32      2.00000  -0.07538  -1.99432   0.22571   1.97730  -0.37476  -1.94905   0.52168   1.90973  -0.66564  -1.85955   0.80581   1.79881  -0.94141  -1.72785   1.07165   1.64707  -1.19581  -1.55692   1.31317   1.45794  -1.42307  -1.35067   1.52489   1.23572  -1.61803  -1.11375   1.70199   0.98545  -1.77627  -0.85156   1.84046   0.71282  -1.89420  -0.57004   1.93717   0.42401  -1.96913  -0.27558   1.98990   0.12558  -1.99937   0.02513   1.99747  -0.17570  -1.98423   0.32527   1.95971  -0.47300  -1.92406   0.61803   1.87747  -0.75956  -1.82021   0.89677   1.75261  -1.02888  -1.67506   1.15515   1.58798  -1.27485  -1.49188   1.38731   0.00000     ... ... ..... ....... ......... ........... .............
E33      2.00000  -0.17570  -1.96913   0.52168   1.87747  -0.85156  -1.72785   1.15515   1.52489  -1.42307  -1.27485   1.64707   0.98545  -1.82021  -0.66564   1.93717   0.32527  -1.99432   0.02513   1.98990  -0.37476  -1.92406   0.71282   1.79881  -1.02888  -1.61803   1.31317   1.38731  -1.55692  -1.11375   1.75261   0.80581  -1.89420  -0.47300   1.97730   0.12558  -1.99937   0.22571   1.95971  -0.57004  -1.85955   0.89677   1.70199  -1.19581  -1.49188   1.45794   1.23572  -1.67506  -0.94141   1.84046   0.61803  -1.94905  -0.27558   1.99747  -0.07538  -1.98423   0.42401   1.90973  -0.75956  -1.77627   1.07165   1.58798  -1.35067   0.00000     ... ... ..... ....... ......... ........... .............
E34      2.00000  -0.27558  -1.92406   0.80581   1.70199  -1.27485  -1.35067   1.64707   0.89677  -1.89420  -0.37476   1.99747  -0.17570  -1.94905   0.71282   1.75261  -1.19581  -1.42307   1.58798   0.98545  -1.85955  -0.47300   1.98990  -0.07538  -1.96913   0.61803   1.79881  -1.11375  -1.49188   1.52489   1.07165  -1.82021  -0.57004   1.97730   0.02513  -1.98423   0.52168   1.84046  -1.02888  -1.55692   1.45794   1.15515  -1.77627  -0.66564   1.95971   0.12558  -1.99432   0.42401   1.87747  -0.94141  -1.61803   1.38731   1.23572  -1.72785  -0.75956   1.93717   0.22571  -1.99937   0.32527   1.90973  -0.85156  -1.67506   1.31317   0.00000     ... ... ..... ....... ......... ........... .............
E35      2.00000  -0.37476  -1.85955   1.07165   1.45794  -1.61803  -0.85156   1.93717   0.12558  -1.98423   0.61803   1.75261  -1.27485  -1.27485   1.75261   0.61803  -1.98423   0.12558   1.93717  -0.85156  -1.61803   1.45794   1.07165  -1.85955  -0.37476   2.00000  -0.37476  -1.85955   1.07165   1.45794  -1.61803  -0.85156   1.93717   0.12558  -1.98423   0.61803   1.75261  -1.27485  -1.27485   1.75261   0.61803  -1.98423   0.12558   1.93717  -0.85156  -1.61803   1.45794   1.07165  -1.85955  -0.37476   2.00000  -0.37476  -1.85955   1.07165   1.45794  -1.61803  -0.85156   1.93717   0.12558  -1.98423   0.61803   1.75261  -1.27485   0.00000     ... ... ..... ....... ......... ........... .............
E36      2.00000  -0.47300  -1.77627   1.31317   1.15515  -1.85955  -0.27558   1.98990  -0.66564  -1.67506   1.45794   0.98545  -1.92406  -0.07538   1.95971  -0.85156  -1.55692   1.58798   0.80581  -1.96913   0.12558   1.90973  -1.02888  -1.42307   1.70199   0.61803  -1.99432   0.32527   1.84046  -1.19581  -1.27485   1.79881   0.42401  -1.99937   0.52168   1.75261  -1.35067  -1.11375   1.87747   0.22571  -1.98423   0.71282   1.64707  -1.49188  -0.94141   1.93717   0.02513  -1.94905   0.89677   1.52489  -1.61803  -0.75956   1.97730  -0.17570  -1.89420   1.07165   1.38731  -1.72785  -0.57004   1.99747  -0.37476  -1.82021   1.23572   0.00000     ... ... ..... ....... ......... ........... .............
E37      2.00000  -0.57004  -1.67506   1.52489   0.80581  -1.98423   0.32527   1.79881  -1.35067  -1.02888   1.93717  -0.07538  -1.89420   1.15515   1.23572  -1.85955  -0.17570   1.95971  -0.94141  -1.42307   1.75261   0.42401  -1.99432   0.71282   1.58798  -1.61803  -0.66564   1.99747  -0.47300  -1.72785   1.45794   0.89677  -1.96913   0.22571   1.84046  -1.27485  -1.11375   1.90973   0.02513  -1.92406   1.07165   1.31317  -1.82021  -0.27558   1.97730  -0.85156  -1.49188   1.70199   0.52168  -1.99937   0.61803   1.64707  -1.55692  -0.75956   1.98990  -0.37476  -1.77627   1.38731   0.98545  -1.94905   0.12558   1.87747  -1.19581   0.00000     ... ... ..... ....... ......... ........... .............
E38      2.00000  -0.66564  -1.55692   1.70199   0.42401  -1.98423   0.89677   1.38731  -1.82021  -0.17570   1.93717  -1.11375  -1.19581   1.90973  -0.07538  -1.85955   1.31317   0.98545  -1.96913   0.32527   1.75261  -1.49188  -0.75956   1.99747  -0.57004  -1.61803   1.64707   0.52168  -1.99432   0.80581   1.45794  -1.77627  -0.27558   1.95971  -1.02888  -1.27485   1.87747   0.02513  -1.89420   1.23572   1.07165  -1.94905   0.22571   1.79881  -1.42307  -0.85156   1.98990  -0.47300  -1.67506   1.58798   0.61803  -1.99937   0.71282   1.52489  -1.72785  -0.37476   1.97730  -0.94141  -1.35067   1.84046   0.12558  -1.92406   1.15515   0.00000     ... ... ..... ....... ......... ........... .............
E39      2.00000  -0.75956  -1.42307   1.84046   0.02513  -1.85955   1.38731   0.80581  -1.99937   0.71282   1.45794  -1.82021  -0.07538   1.87747  -1.35067  -0.85156   1.99747  -0.66564  -1.49188   1.79881   0.12558  -1.89420   1.31317   0.89677  -1.99432   0.61803   1.52489  -1.77627  -0.17570   1.90973  -1.27485  -0.94141   1.98990  -0.57004  -1.55692   1.75261   0.22571  -1.92406   1.23572   0.98545  -1.98423   0.52168   1.58798  -1.72785  -0.27558   1.93717  -1.19581  -1.02888   1.97730  -0.47300  -1.61803   1.70199   0.32527  -1.94905   1.15515   1.07165  -1.96913   0.42401   1.64707  -1.67506  -0.37476   1.95971  -1.11375   0.00000     ... ... ..... ....... ......... ........... .............
E40      2.00000  -0.85156  -1.27485   1.93717  -0.37476  -1.61803   1.75261   0.12558  -1.85955   1.45794   0.61803  -1.98423   1.07165   1.07165  -1.98423   0.61803   1.45794  -1.85955   0.12558   1.75261  -1.61803  -0.37476   1.93717  -1.27485  -0.85156   2.00000  -0.85156  -1.27485   1.93717  -0.37476  -1.61803   1.75261   0.12558  -1.85955   1.45794   0.61803  -1.98423   1.07165   1.07165  -1.98423   0.61803   1.45794  -1.85955   0.12558   1.75261  -1.61803  -0.37476   1.93717  -1.27485  -0.85156   2.00000  -0.85156  -1.27485   1.93717  -0.37476  -1.61803   1.75261   0.12558  -1.85955   1.45794   0.61803  -1.98423   1.07165   0.00000     ... ... ..... ....... ......... ........... .............
E41      2.00000  -0.94141  -1.11375   1.98990  -0.75956  -1.27485   1.95971  -0.57004  -1.42307   1.90973  -0.37476  -1.55692   1.84046  -0.17570  -1.67506   1.75261   0.02513  -1.77627   1.64707   0.22571  -1.85955   1.52489   0.42401  -1.92406   1.38731   0.61803  -1.96913   1.23572   0.80581  -1.99432   1.07165   0.98545  -1.99937   0.89677   1.15515  -1.98423   0.71282   1.31317  -1.94905   0.52168   1.45794  -1.89420   0.32527   1.58798  -1.82021   0.12558   1.70199  -1.72785  -0.07538   1.79881  -1.61803  -0.27558   1.87747  -1.49188  -0.47300   1.93717  -1.35067  -0.66564   1.97730  -1.19581  -0.85156   1.99747  -1.02888   0.00000     ... ... ..... ....... ......... ........... .............
E42      2.00000  -1.02888  -0.94141   1.99747  -1.11375  -0.85156   1.98990  -1.19581  -0.75956   1.97730  -1.27485  -0.66564   1.95971  -1.35067  -0.57004   1.93717  -1.42307  -0.47300   1.90973  -1.49188  -0.37476   1.87747  -1.55692  -0.27558   1.84046  -1.61803  -0.17570   1.79881  -1.67506  -0.07538   1.75261  -1.72785   0.02513   1.70199  -1.77627   0.12558   1.64707  -1.82021   0.22571   1.58798  -1.85955   0.32527   1.52489  -1.89420   0.42401   1.45794  -1.92406   0.52168   1.38731  -1.94905   0.61803   1.31317  -1.96913   0.71282   1.23572  -1.98423   0.80581   1.15515  -1.99432   0.89677   1.07165  -1.99937   0.98545   0.00000     ... ... ..... ....... ......... ........... .............
E43      2.00000  -1.11375  -0.75956   1.95971  -1.42307  -0.37476   1.84046  -1.67506   0.02513   1.64707  -1.85955   0.42401   1.38731  -1.96913   0.80581   1.07165  -1.99937   1.15515   0.71282  -1.94905   1.45794   0.32527  -1.82021   1.70199  -0.07538  -1.61803   1.87747  -0.47300  -1.35067   1.97730  -0.85156  -1.02888   1.99747  -1.19581  -0.66564   1.93717  -1.49188  -0.27558   1.79881  -1.72785   0.12558   1.58798  -1.89420   0.52168   1.31317  -1.98423   0.89677   0.98545  -1.99432   1.23572   0.61803  -1.92406   1.52489   0.22571  -1.77627   1.75261  -0.17570  -1.55692   1.90973  -0.57004  -1.27485   1.98990  -0.94141   0.00000     ... ... ..... ....... ......... ........... .............
E44      2.00000  -1.19581  -0.57004   1.87747  -1.67506   0.12558   1.52489  -1.94905   0.80581   0.98545  -1.98423   1.38731   0.32527  -1.77627   1.79881  -0.37476  -1.35067   1.98990  -1.02888  -0.75956   1.93717  -1.55692  -0.07538   1.64707  -1.89420   0.61803   1.15515  -1.99937   1.23572   0.52168  -1.85955   1.70199  -0.17570  -1.49188   1.95971  -0.85156  -0.94141   1.97730  -1.42307  -0.27558   1.75261  -1.82021   0.42401   1.31317  -1.99432   1.07165   0.71282  -1.92406   1.58798   0.02513  -1.61803   1.90973  -0.66564  -1.11375   1.99747  -1.27485  -0.47300   1.84046  -1.72785   0.22571   1.45794  -1.96913   0.89677   0.00000     ... ... ..... ....... ......... ........... .............
E45      2.00000  -1.27485  -0.37476   1.75261  -1.85955   0.61803   1.07165  -1.98423   1.45794   0.12558  -1.61803   1.93717  -0.85156  -0.85156   1.93717  -1.61803   0.12558   1.45794  -1.98423   1.07165   0.61803  -1.85955   1.75261  -0.37476  -1.27485   2.00000  -1.27485  -0.37476   1.75261  -1.85955   0.61803   1.07165  -1.98423   1.45794   0.12558  -1.61803   1.93717  -0.85156  -0.85156   1.93717  -1.61803   0.12558   1.45794  -1.98423   1.07165   0.61803  -1.85955   1.75261  -0.37476  -1.27485   2.00000  -1.27485  -0.37476   1.75261  -1.85955   0.61803   1.07165  -1.98423   1.45794   0.12558  -1.61803   1.93717  -0.85156   0.00000     ... ... ..... ....... ......... ........... .............
E46      2.00000  -1.35067  -0.17570   1.58798  -1.96913   1.07165   0.52168  -1.77627   1.87747  -0.75956  -0.85156   1.90973  -1.72785   0.42401   1.15515  -1.98423   1.52489  -0.07538  -1.42307   1.99747  -1.27485  -0.27558   1.64707  -1.94905   0.98545   0.61803  -1.82021   1.84046  -0.66564  -0.94141   1.93717  -1.67506   0.32527   1.23572  -1.99432   1.45794   0.02513  -1.49188   1.98990  -1.19581  -0.37476   1.70199  -1.92406   0.89677   0.71282  -1.85955   1.79881  -0.57004  -1.02888   1.95971  -1.61803   0.22571   1.31317  -1.99937   1.38731   0.12558  -1.55692   1.97730  -1.11375  -0.47300   1.75261  -1.89420   0.80581   0.00000     ... ... ..... ....... ......... ........... .............
E47      2.00000  -1.42307   0.02513   1.38731  -1.99937   1.45794  -0.07538  -1.35067   1.99747  -1.49188   0.12558   1.31317  -1.99432   1.52489  -0.17570  -1.27485   1.98990  -1.55692   0.22571   1.23572  -1.98423   1.58798  -0.27558  -1.19581   1.97730  -1.61803   0.32527   1.15515  -1.96913   1.64707  -0.37476  -1.11375   1.95971  -1.67506   0.42401   1.07165  -1.94905   1.70199  -0.47300  -1.02888   1.93717  -1.72785   0.52168   0.98545  -1.92406   1.75261  -0.57004  -0.94141   1.90973  -1.77627   0.61803   0.89677  -1.89420   1.79881  -0.66564  -0.85156   1.87747  -1.82021   0.71282   0.80581  -1.85955   1.84046  -0.75956   0.00000     ... ... ..... ....... ......... ........... .............
E48      2.00000  -1.49188   0.22571   1.15515  -1.94905   1.75261  -0.66564  -0.75956   1.79881  -1.92406   1.07165   0.32527  -1.55692   1.99747  -1.42307   0.12558   1.23572  -1.96913   1.70199  -0.57004  -0.85156   1.84046  -1.89420   0.98545   0.42401  -1.61803   1.98990  -1.35067   0.02513   1.31317  -1.98423   1.64707  -0.47300  -0.94141   1.87747  -1.85955   0.89677   0.52168  -1.67506   1.97730  -1.27485  -0.07538   1.38731  -1.99432   1.58798  -0.37476  -1.02888   1.90973  -1.82021   0.80581   0.61803  -1.72785   1.95971  -1.19581  -0.17570   1.45794  -1.99937   1.52489  -0.27558  -1.11375   1.93717  -1.77627   0.71282   0.00000     ... ... ..... ....... ......... ........... .............
E49      2.00000  -1.55692   0.42401   0.89677  -1.82021   1.93717  -1.19581  -0.07538   1.31317  -1.96913   1.75261  -0.75956  -0.57004   1.64707  -1.99432   1.45794  -0.27558  -1.02888   1.87747  -1.89420   1.07165   0.22571  -1.42307   1.98990  -1.67506   0.61803   0.71282  -1.72785   1.97730  -1.35067   0.12558   1.15515  -1.92406   1.84046  -0.94141  -0.37476   1.52489  -1.99937   1.58798  -0.47300  -0.85156   1.79881  -1.94905   1.23572   0.02513  -1.27485   1.95971  -1.77627   0.80581   0.52168  -1.61803   1.99747  -1.49188   0.32527   0.98545  -1.85955   1.90973  -1.11375  -0.17570   1.38731  -1.98423   1.70199  -0.66564   0.00000     ... ... ..... ....... ......... ........... .............
E50      2.00000  -1.61803   0.61803   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.61803  -1.61803   2.00000  -1.61803   0.61803   0.00000     ... ... ..... ....... ......... ........... .............
E51      2.00000  -1.67506   0.80581   0.32527  -1.35067   1.93717  -1.89420   1.23572  -0.17570  -0.94141   1.75261  -1.99432   1.58798  -0.66564  -0.47300   1.45794  -1.96913   1.84046  -1.11375   0.02513   1.07165  -1.82021   1.97730  -1.49188   0.52168   0.61803  -1.55692   1.98990  -1.77627   0.98545   0.12558  -1.19581   1.87747  -1.94905   1.38731  -0.37476  -0.75956   1.64707  -1.99937   1.70199  -0.85156  -0.27558   1.31317  -1.92406   1.90973  -1.27485   0.22571   0.89677  -1.72785   1.99747  -1.61803   0.71282   0.42401  -1.42307   1.95971  -1.85955   1.15515  -0.07538  -1.02888   1.79881  -1.98423   1.52489  -0.57004   0.00000     ... ... ..... ....... ......... ........... .............
E52      2.00000  -1.72785   0.98545   0.02513  -1.02888   1.75261  -1.99937   1.70199  -0.94141  -0.07538   1.07165  -1.77627   1.99747  -1.67506   0.89677   0.12558  -1.11375   1.79881  -1.99432   1.64707  -0.85156  -0.17570   1.15515  -1.82021   1.98990  -1.61803   0.80581   0.22571  -1.19581   1.84046  -1.98423   1.58798  -0.75956  -0.27558   1.23572  -1.85955   1.97730  -1.55692   0.71282   0.32527  -1.27485   1.87747  -1.96913   1.52489  -0.66564  -0.37476   1.31317  -1.89420   1.95971  -1.49188   0.61803   0.42401  -1.35067   1.90973  -1.94905   1.45794  -0.57004  -0.47300   1.38731  -1.92406   1.93717  -1.42307   0.52168   0.00000     ... ... ..... ....... ......... ........... .............
E53      2.00000  -1.77627   1.15515  -0.27558  -0.66564   1.45794  -1.92406   1.95971  -1.55692   0.80581   0.12558  -1.02888   1.70199  -1.99432   1.84046  -1.27485   0.42401   0.52168  -1.35067   1.87747  -1.98423   1.64707  -0.94141   0.02513   0.89677  -1.61803   1.97730  -1.89420   1.38731  -0.57004  -0.37476   1.23572  -1.82021   1.99747  -1.72785   1.07165  -0.17570  -0.75956   1.52489  -1.94905   1.93717  -1.49188   0.71282   0.22571  -1.11375   1.75261  -1.99937   1.79881  -1.19581   0.32527   0.61803  -1.42307   1.90973  -1.96913   1.58798  -0.85156  -0.07538   0.98545  -1.67506   1.98990  -1.85955   1.31317  -0.47300   0.00000     ... ... ..... ....... ......... ........... .............
E54      2.00000  -1.82021   1.31317  -0.57004  -0.27558   1.07165  -1.67506   1.97730  -1.92406   1.52489  -0.85156   0.02513   0.80581  -1.49188   1.90973  -1.98423   1.70199  -1.11375   0.32527   0.52168  -1.27485   1.79881  -1.99937   1.84046  -1.35067   0.61803   0.22571  -1.02888   1.64707  -1.96913   1.93717  -1.55692   0.89677  -0.07538  -0.75956   1.45794  -1.89420   1.98990  -1.72785   1.15515  -0.37476  -0.47300   1.23572  -1.77627   1.99747  -1.85955   1.38731  -0.66564  -0.17570   0.98545  -1.61803   1.95971  -1.94905   1.58798  -0.94141   0.12558   0.71282  -1.42307   1.87747  -1.99432   1.75261  -1.19581   0.42401   0.00000     ... ... ..... ....... ......... ........... .............
E55      2.00000  -1.85955   1.45794  -0.85156   0.12558   0.61803  -1.27485   1.75261  -1.98423   1.93717  -1.61803   1.07165  -0.37476  -0.37476   1.07165  -1.61803   1.93717  -1.98423   1.75261  -1.27485   0.61803   0.12558  -0.85156   1.45794  -1.85955   2.00000  -1.85955   1.45794  -0.85156   0.12558   0.61803  -1.27485   1.75261  -1.98423   1.93717  -1.61803   1.07165  -0.37476  -0.37476   1.07165  -1.61803   1.93717  -1.98423   1.75261  -1.27485   0.61803   0.12558  -0.85156   1.45794  -1.85955   2.00000  -1.85955   1.45794  -0.85156   0.12558   0.61803  -1.27485   1.75261  -1.98423   1.93717  -1.61803   1.07165  -0.37476   0.00000     ... ... ..... ....... ......... ........... .............
E56      2.00000  -1.89420   1.58798  -1.11375   0.52168   0.12558  -0.75956   1.31317  -1.72785   1.95971  -1.98423   1.79881  -1.42307   0.89677  -0.27558  -0.37476   0.98545  -1.49188   1.84046  -1.99432   1.93717  -1.67506   1.23572  -0.66564   0.02513   0.61803  -1.19581   1.64707  -1.92406   1.99747  -1.85955   1.52489  -1.02888   0.42401   0.22571  -0.85156   1.38731  -1.77627   1.97730  -1.96913   1.75261  -1.35067   0.80581  -0.17570  -0.47300   1.07165  -1.55692   1.87747  -1.99937   1.90973  -1.61803   1.15515  -0.57004  -0.07538   0.71282  -1.27485   1.70199  -1.94905   1.98990  -1.82021   1.45794  -0.94141   0.32527   0.00000     ... ... ..... ....... ......... ........... .............
E57      2.00000  -1.92406   1.70199  -1.35067   0.89677  -0.37476  -0.17570   0.71282  -1.19581   1.58798  -1.85955   1.98990  -1.96913   1.79881  -1.49188   1.07165  -0.57004   0.02513   0.52168  -1.02888   1.45794  -1.77627   1.95971  -1.99432   1.87747  -1.61803   1.23572  -0.75956   0.22571   0.32527  -0.85156   1.31317  -1.67506   1.90973  -1.99937   1.93717  -1.72785   1.38731  -0.94141   0.42401   0.12558  -0.66564   1.15515  -1.55692   1.84046  -1.98423   1.97730  -1.82021   1.52489  -1.11375   0.61803  -0.07538  -0.47300   0.98545  -1.42307   1.75261  -1.94905   1.99747  -1.89420   1.64707  -1.27485   0.80581  -0.27558   0.00000     ... ... ..... ....... ......... ........... .............
E58      2.00000  -1.94905   1.79881  -1.55692   1.23572  -0.85156   0.42401   0.02513  -0.47300   0.89677  -1.27485   1.58798  -1.82021   1.95971  -1.99937   1.93717  -1.77627   1.52489  -1.19581   0.80581  -0.37476  -0.07538   0.52168  -0.94141   1.31317  -1.61803   1.84046  -1.96913   1.99747  -1.92406   1.75261  -1.49188   1.15515  -0.75956   0.32527   0.12558  -0.57004   0.98545  -1.35067   1.64707  -1.85955   1.97730  -1.99432   1.90973  -1.72785   1.45794  -1.11375   0.71282  -0.27558  -0.17570   0.61803  -1.02888   1.38731  -1.67506   1.87747  -1.98423   1.98990  -1.89420   1.70199  -1.42307   1.07165  -0.66564   0.22571   0.00000     ... ... ..... ....... ......... ........... .............
E59      2.00000  -1.96913   1.87747  -1.72785   1.52489  -1.27485   0.98545  -0.66564   0.32527   0.02513  -0.37476   0.71282  -1.02888   1.31317  -1.55692   1.75261  -1.89420   1.97730  -1.99937   1.95971  -1.85955   1.70199  -1.49188   1.23572  -0.94141   0.61803  -0.27558  -0.07538   0.42401  -0.75956   1.07165  -1.35067   1.58798  -1.77627   1.90973  -1.98423   1.99747  -1.94905   1.84046  -1.67506   1.45794  -1.19581   0.89677  -0.57004   0.22571   0.12558  -0.47300   0.80581  -1.11375   1.38731  -1.61803   1.79881  -1.92406   1.98990  -1.99432   1.93717  -1.82021   1.64707  -1.42307   1.15515  -0.85156   0.52168  -0.17570   0.00000     ... ... ..... ....... ......... ........... .............
E60      2.00000  -1.98423   1.93717  -1.85955   1.75261  -1.61803   1.45794  -1.27485   1.07165  -0.85156   0.61803  -0.37476   0.12558   0.12558  -0.37476   0.61803  -0.85156   1.07165  -1.27485   1.45794  -1.61803   1.75261  -1.85955   1.93717  -1.98423   2.00000  -1.98423   1.93717  -1.85955   1.75261  -1.61803   1.45794  -1.27485   1.07165  -0.85156   0.61803  -0.37476   0.12558   0.12558  -0.37476   0.61803  -0.85156   1.07165  -1.27485   1.45794  -1.61803   1.75261  -1.85955   1.93717  -1.98423   2.00000  -1.98423   1.93717  -1.85955   1.75261  -1.61803   1.45794  -1.27485   1.07165  -0.85156   0.61803  -0.37476   0.12558   0.00000     ... ... ..... ....... ......... ........... .............
E61      2.00000  -1.99432   1.97730  -1.94905   1.90973  -1.85955   1.79881  -1.72785   1.64707  -1.55692   1.45794  -1.35067   1.23572  -1.11375   0.98545  -0.85156   0.71282  -0.57004   0.42401  -0.27558   0.12558   0.02513  -0.17570   0.32527  -0.47300   0.61803  -0.75956   0.89677  -1.02888   1.15515  -1.27485   1.38731  -1.49188   1.58798  -1.67506   1.75261  -1.82021   1.87747  -1.92406   1.95971  -1.98423   1.99747  -1.99937   1.98990  -1.96913   1.93717  -1.89420   1.84046  -1.77627   1.70199  -1.61803   1.52489  -1.42307   1.31317  -1.19581   1.07165  -0.94141   0.80581  -0.66564   0.52168  -0.37476   0.22571  -0.07538   0.00000     ... ... ..... ....... ......... ........... .............
E62      2.00000  -1.99937   1.99747  -1.99432   1.98990  -1.98423   1.97730  -1.96913   1.95971  -1.94905   1.93717  -1.92406   1.90973  -1.89420   1.87747  -1.85955   1.84046  -1.82021   1.79881  -1.77627   1.75261  -1.72785   1.70199  -1.67506   1.64707  -1.61803   1.58798  -1.55692   1.52489  -1.49188   1.45794  -1.42307   1.38731  -1.35067   1.31317  -1.27485   1.23572  -1.19581   1.15515  -1.11375   1.07165  -1.02888   0.98545  -0.94141   0.89677  -0.85156   0.80581  -0.75956   0.71282  -0.66564   0.61803  -0.57004   0.52168  -0.47300   0.42401  -0.37476   0.32527  -0.27558   0.22571  -0.17570   0.12558  -0.07538   0.02513   0.00000     ... ... ..... ....... ......... ........... .............

 Irrational character values:  1.997473913212 = 2*cos(2*π/125)
                               1.989902033963 = 2*cos(4*π/125)
                               1.977303489476 = 2*cos(6*π/125)
                               1.959710104768 = 2*cos(8*π/125)
                               1.937166322257 = 2*cos(10*π/125) = 2*cos(2*π/25)
                               1.909729089493 = 2*cos(12*π/125)
                               1.877467715308 = 2*cos(14*π/125)
                               1.840463694732 = 2*cos(16*π/125)
                               1.798810503133 = 2*cos(18*π/125)
                               1.752613360088 = 2*cos(20*π/125) = 2*cos(4*π/25)
                               1.701988963589 = 2*cos(22*π/125)
                               1.647065195257 = 2*cos(24*π/125)
                               1.587980797296 = 2*cos(26*π/125)
                               1.524885022023 = 2*cos(28*π/125)
                               1.457937254843 = 2*cos(30*π/125) = 2*cos(6*π/25)
                               1.387306611626 = 2*cos(32*π/125)
                               1.313171511506 = 2*cos(34*π/125)
                               1.235719226181 = 2*cos(36*π/125)
                               1.155145406845 = 2*cos(38*π/125)
                               1.071653589958 = 2*cos(40*π/125) = 2*cos(8*π/25)
                               0.985454683097 = 2*cos(42*π/125)
                               0.896766432180 = 2*cos(44*π/125)
                               0.805812871427 = 2*cos(46*π/125)
                               0.712823757427 = 2*cos(48*π/125)
                               0.618033988750 = 2*cos(50*π/125) = 2*cos(2*π/5) = (√5−1)/2
                               0.521683012580 = 2*cos(52*π/125)
                               0.424014219844 = 2*cos(54*π/125)
                               0.325274330390 = 2*cos(56*π/125)
                               0.225712769747 = 2*cos(58*π/125)
                               0.125581039059 = 2*cos(60*π/125) = 2*cos(12*π/25)
                               0.025132079767 = 2*cos(62*π/125)
                              -0.075380365340 = 2*cos(64*π/125)
                              -0.175702393101 = 2*cos(66*π/125)
                              -0.275580581369 = 2*cos(68*π/125)
                              -0.374762629171 = 2*cos(70*π/125) = 2*cos(14*π/25)
                              -0.472997994047 = 2*cos(72*π/125)
                              -0.570038524940 = 2*cos(74*π/125)
                              -0.665639089046 = 2*cos(76*π/125)
                              -0.759558191044 = 2*cos(78*π/125)
                              -0.851558583130 = 2*cos(80*π/125) = 2*cos(16*π/25)
                              -0.941407864331 = 2*cos(82*π/125)
                              -1.028879067563 = 2*cos(84*π/125)
                              -1.113751232976 = 2*cos(86*π/125)
                              -1.195809966115 = 2*cos(88*π/125)
                              -1.274847979497 = 2*cos(90*π/125) = 2*cos(18*π/25)
                              -1.350665616242 = 2*cos(92*π/125)
                              -1.423071354419 = 2*cos(94*π/125)
                              -1.491882290848 = 2*cos(96*π/125)
                              -1.556924603134 = 2*cos(98*π/125)
                              -1.618033988750 = 2*cos(100*π/125) = 2*cos(4*π/5) = −(√5+1)/2
                              -1.675056080084 = 2*cos(102*π/125)
                              -1.727846834386 = 2*cos(104*π/125)
                              -1.776272897627 = 2*cos(106*π/125)
                              -1.820211941370 = 2*cos(108*π/125)
                              -1.859552971777 = 2*cos(110*π/125) = 2*cos(22*π/25)
                              -1.894196609989 = 2*cos(112*π/125)
                              -1.924055343172 = 2*cos(114*π/125)
                              -1.949053745573 = 2*cos(116*π/125)
                              -1.969128669058 = 2*cos(118*π/125)
                              -1.984229402629 = 2*cos(120*π/125) = 2*cos(24*π/25)
                              -1.994317800521 = 2*cos(122*π/125)
                              -1.999368378567 = 2*cos(124*π/125)



 Symmetry of Rotations and Cartesian products

A1   p+d+f+g+h+i+j+k+l+m    z, z2, z3, z4, z5, z6 
A2   R                      Rz 
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 C125v point group is 250, and the order of the principal axis (C125) is 125. The group has 64 irreducible representations.

    β  The C125v point group is isomorphic to D125.

    γ  The C125v point group is generated by two symmetry elements, C125 and any σv.
       Also, the group may be generated from two σv planes (some pairs will yield smaller groups, though; choosing a minimum angle is safe).

    δ  The lowest nonvanishing multipole moment in C125v is 2 (dipole 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  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, some of the irrational characters cannot be expressed by a closed algebraic form using real numbers only.

This Character Table for the C125v point group was created by Gernot Katzer.

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