Character table for the D110 point group

D110    E         2 C110    2 C55     2 C110^3  2 C55^2   2 C22     2 C55^3   2 C110^7  2 C55^4   2 C110^9  2 C11     2 C10     2 C55^6   2 C110^13 2 C55^7   2 C22^3   2 C55^8   2 C110^17 2 C55^9   2 C110^19 2 C11^2   2 C110^21 2 C5      2 C110^23 2 C55^12  2 C22^5   2 C55^13  2 C110^27 2 C55^14  2 C110^29 2 C11^3   2 C110^31 2 C55^16  2 C10^3   2 C55^17  2 C22^7   2 C55^18  2 C110^37 2 C55^19  2 C110^39 2 C11^4   2 C110^41 2 C55^21  2 C110^43 2 C5^2    2 C22^9   2 C55^23  2 C110^47 2 C55^24  2 C110^49 2 C11^5   2 C110^51 2 C55^26  2 C110^53 2 C55^27  C2        55 C2'    55 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     ... ... ....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     ..T ..T ..... ......T ......... ..........T .............
B1       1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000     ... ... ..... ....... ......... ........... .............
B2       1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000   1.00000  -1.00000  -1.00000   1.00000     ... ... ..... ....... ......... ........... .............
E1       2.00000   1.99674   1.98696   1.97071   1.94802   1.91899   1.88369   1.84225   1.79480   1.74149   1.68251   1.61803   1.54828   1.47348   1.39388   1.30972   1.22130   1.12889   1.03279   0.93333   0.83083   0.72562   0.61803   0.50844   0.39718   0.28463   0.17115   0.05711  -0.05711  -0.17115  -0.28463  -0.39718  -0.50844  -0.61803  -0.72562  -0.83083  -0.93333  -1.03279  -1.12889  -1.22130  -1.30972  -1.39388  -1.47348  -1.54828  -1.61803  -1.68251  -1.74149  -1.79480  -1.84225  -1.88369  -1.91899  -1.94802  -1.97071  -1.98696  -1.99674  -2.00000   0.00000   0.00000     TT. TT. ..TT. ....TT. ......TT. ........TT. ..........TT.
E2       2.00000   1.98696   1.94802   1.88369   1.79480   1.68251   1.54828   1.39388   1.22130   1.03279   0.83083   0.61803   0.39718   0.17115  -0.05711  -0.28463  -0.50844  -0.72562  -0.93333  -1.12889  -1.30972  -1.47348  -1.61803  -1.74149  -1.84225  -1.91899  -1.97071  -1.99674  -1.99674  -1.97071  -1.91899  -1.84225  -1.74149  -1.61803  -1.47348  -1.30972  -1.12889  -0.93333  -0.72562  -0.50844  -0.28463  -0.05711   0.17115   0.39718   0.61803   0.83083   1.03279   1.22130   1.39388   1.54828   1.68251   1.79480   1.88369   1.94802   1.98696   2.00000   0.00000   0.00000     ... ... TT... ..TT... ....TT... ......TT... ........TT...
E3       2.00000   1.97071   1.88369   1.74149   1.54828   1.30972   1.03279   0.72562   0.39718   0.05711  -0.28463  -0.61803  -0.93333  -1.22130  -1.47348  -1.68251  -1.84225  -1.94802  -1.99674  -1.98696  -1.91899  -1.79480  -1.61803  -1.39388  -1.12889  -0.83083  -0.50844  -0.17115   0.17115   0.50844   0.83083   1.12889   1.39388   1.61803   1.79480   1.91899   1.98696   1.99674   1.94802   1.84225   1.68251   1.47348   1.22130   0.93333   0.61803   0.28463  -0.05711  -0.39718  -0.72562  -1.03279  -1.30972  -1.54828  -1.74149  -1.88369  -1.97071  -2.00000   0.00000   0.00000     ... ... ..... TT..... ..TT..... ....TT..... ......TT.....
E4       2.00000   1.94802   1.79480   1.54828   1.22130   0.83083   0.39718  -0.05711  -0.50844  -0.93333  -1.30972  -1.61803  -1.84225  -1.97071  -1.99674  -1.91899  -1.74149  -1.47348  -1.12889  -0.72562  -0.28463   0.17115   0.61803   1.03279   1.39388   1.68251   1.88369   1.98696   1.98696   1.88369   1.68251   1.39388   1.03279   0.61803   0.17115  -0.28463  -0.72562  -1.12889  -1.47348  -1.74149  -1.91899  -1.99674  -1.97071  -1.84225  -1.61803  -1.30972  -0.93333  -0.50844  -0.05711   0.39718   0.83083   1.22130   1.54828   1.79480   1.94802   2.00000   0.00000   0.00000     ... ... ..... ....... TT....... ..TT....... ....TT.......
E5       2.00000   1.91899   1.68251   1.30972   0.83083   0.28463  -0.28463  -0.83083  -1.30972  -1.68251  -1.91899  -2.00000  -1.91899  -1.68251  -1.30972  -0.83083  -0.28463   0.28463   0.83083   1.30972   1.68251   1.91899   2.00000   1.91899   1.68251   1.30972   0.83083   0.28463  -0.28463  -0.83083  -1.30972  -1.68251  -1.91899  -2.00000  -1.91899  -1.68251  -1.30972  -0.83083  -0.28463   0.28463   0.83083   1.30972   1.68251   1.91899   2.00000   1.91899   1.68251   1.30972   0.83083   0.28463  -0.28463  -0.83083  -1.30972  -1.68251  -1.91899  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... TT......... ..TT.........
E6       2.00000   1.88369   1.54828   1.03279   0.39718  -0.28463  -0.93333  -1.47348  -1.84225  -1.99674  -1.91899  -1.61803  -1.12889  -0.50844   0.17115   0.83083   1.39388   1.79480   1.98696   1.94802   1.68251   1.22130   0.61803  -0.05711  -0.72562  -1.30972  -1.74149  -1.97071  -1.97071  -1.74149  -1.30972  -0.72562  -0.05711   0.61803   1.22130   1.68251   1.94802   1.98696   1.79480   1.39388   0.83083   0.17115  -0.50844  -1.12889  -1.61803  -1.91899  -1.99674  -1.84225  -1.47348  -0.93333  -0.28463   0.39718   1.03279   1.54828   1.88369   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... TT...........
E7       2.00000   1.84225   1.39388   0.72562  -0.05711  -0.83083  -1.47348  -1.88369  -1.99674  -1.79480  -1.30972  -0.61803   0.17115   0.93333   1.54828   1.91899   1.98696   1.74149   1.22130   0.50844  -0.28463  -1.03279  -1.61803  -1.94802  -1.97071  -1.68251  -1.12889  -0.39718   0.39718   1.12889   1.68251   1.97071   1.94802   1.61803   1.03279   0.28463  -0.50844  -1.22130  -1.74149  -1.98696  -1.91899  -1.54828  -0.93333  -0.17115   0.61803   1.30972   1.79480   1.99674   1.88369   1.47348   0.83083   0.05711  -0.72562  -1.39388  -1.84225  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E8       2.00000   1.79480   1.22130   0.39718  -0.50844  -1.30972  -1.84225  -1.99674  -1.74149  -1.12889  -0.28463   0.61803   1.39388   1.88369   1.98696   1.68251   1.03279   0.17115  -0.72562  -1.47348  -1.91899  -1.97071  -1.61803  -0.93333  -0.05711   0.83083   1.54828   1.94802   1.94802   1.54828   0.83083  -0.05711  -0.93333  -1.61803  -1.97071  -1.91899  -1.47348  -0.72562   0.17115   1.03279   1.68251   1.98696   1.88369   1.39388   0.61803  -0.28463  -1.12889  -1.74149  -1.99674  -1.84225  -1.30972  -0.50844   0.39718   1.22130   1.79480   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E9       2.00000   1.74149   1.03279   0.05711  -0.93333  -1.68251  -1.99674  -1.79480  -1.12889  -0.17115   0.83083   1.61803   1.98696   1.84225   1.22130   0.28463  -0.72562  -1.54828  -1.97071  -1.88369  -1.30972  -0.39718   0.61803   1.47348   1.94802   1.91899   1.39388   0.50844  -0.50844  -1.39388  -1.91899  -1.94802  -1.47348  -0.61803   0.39718   1.30972   1.88369   1.97071   1.54828   0.72562  -0.28463  -1.22130  -1.84225  -1.98696  -1.61803  -0.83083   0.17115   1.12889   1.79480   1.99674   1.68251   0.93333  -0.05711  -1.03279  -1.74149  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E10      2.00000   1.68251   0.83083  -0.28463  -1.30972  -1.91899  -1.91899  -1.30972  -0.28463   0.83083   1.68251   2.00000   1.68251   0.83083  -0.28463  -1.30972  -1.91899  -1.91899  -1.30972  -0.28463   0.83083   1.68251   2.00000   1.68251   0.83083  -0.28463  -1.30972  -1.91899  -1.91899  -1.30972  -0.28463   0.83083   1.68251   2.00000   1.68251   0.83083  -0.28463  -1.30972  -1.91899  -1.91899  -1.30972  -0.28463   0.83083   1.68251   2.00000   1.68251   0.83083  -0.28463  -1.30972  -1.91899  -1.91899  -1.30972  -0.28463   0.83083   1.68251   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E11      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   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E12      2.00000   1.54828   0.39718  -0.93333  -1.84225  -1.91899  -1.12889   0.17115   1.39388   1.98696   1.68251   0.61803  -0.72562  -1.74149  -1.97071  -1.30972  -0.05711   1.22130   1.94802   1.79480   0.83083  -0.50844  -1.61803  -1.99674  -1.47348  -0.28463   1.03279   1.88369   1.88369   1.03279  -0.28463  -1.47348  -1.99674  -1.61803  -0.50844   0.83083   1.79480   1.94802   1.22130  -0.05711  -1.30972  -1.97071  -1.74149  -0.72562   0.61803   1.68251   1.98696   1.39388   0.17115  -1.12889  -1.91899  -1.84225  -0.93333   0.39718   1.54828   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E13      2.00000   1.47348   0.17115  -1.22130  -1.97071  -1.68251  -0.50844   0.93333   1.88369   1.84225   0.83083  -0.61803  -1.74149  -1.94802  -1.12889   0.28463   1.54828   1.99674   1.39388   0.05711  -1.30972  -1.98696  -1.61803  -0.39718   1.03279   1.91899   1.79480   0.72562  -0.72562  -1.79480  -1.91899  -1.03279   0.39718   1.61803   1.98696   1.30972  -0.05711  -1.39388  -1.99674  -1.54828  -0.28463   1.12889   1.94802   1.74149   0.61803  -0.83083  -1.84225  -1.88369  -0.93333   0.50844   1.68251   1.97071   1.22130  -0.17115  -1.47348  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E14      2.00000   1.39388  -0.05711  -1.47348  -1.99674  -1.30972   0.17115   1.54828   1.98696   1.22130  -0.28463  -1.61803  -1.97071  -1.12889   0.39718   1.68251   1.94802   1.03279  -0.50844  -1.74149  -1.91899  -0.93333   0.61803   1.79480   1.88369   0.83083  -0.72562  -1.84225  -1.84225  -0.72562   0.83083   1.88369   1.79480   0.61803  -0.93333  -1.91899  -1.74149  -0.50844   1.03279   1.94802   1.68251   0.39718  -1.12889  -1.97071  -1.61803  -0.28463   1.22130   1.98696   1.54828   0.17115  -1.30972  -1.99674  -1.47348  -0.05711   1.39388   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E15      2.00000   1.30972  -0.28463  -1.68251  -1.91899  -0.83083   0.83083   1.91899   1.68251   0.28463  -1.30972  -2.00000  -1.30972   0.28463   1.68251   1.91899   0.83083  -0.83083  -1.91899  -1.68251  -0.28463   1.30972   2.00000   1.30972  -0.28463  -1.68251  -1.91899  -0.83083   0.83083   1.91899   1.68251   0.28463  -1.30972  -2.00000  -1.30972   0.28463   1.68251   1.91899   0.83083  -0.83083  -1.91899  -1.68251  -0.28463   1.30972   2.00000   1.30972  -0.28463  -1.68251  -1.91899  -0.83083   0.83083   1.91899   1.68251   0.28463  -1.30972  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E16      2.00000   1.22130  -0.50844  -1.84225  -1.74149  -0.28463   1.39388   1.98696   1.03279  -0.72562  -1.91899  -1.61803  -0.05711   1.54828   1.94802   0.83083  -0.93333  -1.97071  -1.47348   0.17115   1.68251   1.88369   0.61803  -1.12889  -1.99674  -1.30972   0.39718   1.79480   1.79480   0.39718  -1.30972  -1.99674  -1.12889   0.61803   1.88369   1.68251   0.17115  -1.47348  -1.97071  -0.93333   0.83083   1.94802   1.54828  -0.05711  -1.61803  -1.91899  -0.72562   1.03279   1.98696   1.39388  -0.28463  -1.74149  -1.84225  -0.50844   1.22130   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E17      2.00000   1.12889  -0.72562  -1.94802  -1.47348   0.28463   1.79480   1.74149   0.17115  -1.54828  -1.91899  -0.61803   1.22130   1.99674   1.03279  -0.83083  -1.97071  -1.39388   0.39718   1.84225   1.68251   0.05711  -1.61803  -1.88369  -0.50844   1.30972   1.98696   0.93333  -0.93333  -1.98696  -1.30972   0.50844   1.88369   1.61803  -0.05711  -1.68251  -1.84225  -0.39718   1.39388   1.97071   0.83083  -1.03279  -1.99674  -1.22130   0.61803   1.91899   1.54828  -0.17115  -1.74149  -1.79480  -0.28463   1.47348   1.94802   0.72562  -1.12889  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E18      2.00000   1.03279  -0.93333  -1.99674  -1.12889   0.83083   1.98696   1.22130  -0.72562  -1.97071  -1.30972   0.61803   1.94802   1.39388  -0.50844  -1.91899  -1.47348   0.39718   1.88369   1.54828  -0.28463  -1.84225  -1.61803   0.17115   1.79480   1.68251  -0.05711  -1.74149  -1.74149  -0.05711   1.68251   1.79480   0.17115  -1.61803  -1.84225  -0.28463   1.54828   1.88369   0.39718  -1.47348  -1.91899  -0.50844   1.39388   1.94802   0.61803  -1.30972  -1.97071  -0.72562   1.22130   1.98696   0.83083  -1.12889  -1.99674  -0.93333   1.03279   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E19      2.00000   0.93333  -1.12889  -1.98696  -0.72562   1.30972   1.94802   0.50844  -1.47348  -1.88369  -0.28463   1.61803   1.79480   0.05711  -1.74149  -1.68251   0.17115   1.84225   1.54828  -0.39718  -1.91899  -1.39388   0.61803   1.97071   1.22130  -0.83083  -1.99674  -1.03279   1.03279   1.99674   0.83083  -1.22130  -1.97071  -0.61803   1.39388   1.91899   0.39718  -1.54828  -1.84225  -0.17115   1.68251   1.74149  -0.05711  -1.79480  -1.61803   0.28463   1.88369   1.47348  -0.50844  -1.94802  -1.30972   0.72562   1.98696   1.12889  -0.93333  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E20      2.00000   0.83083  -1.30972  -1.91899  -0.28463   1.68251   1.68251  -0.28463  -1.91899  -1.30972   0.83083   2.00000   0.83083  -1.30972  -1.91899  -0.28463   1.68251   1.68251  -0.28463  -1.91899  -1.30972   0.83083   2.00000   0.83083  -1.30972  -1.91899  -0.28463   1.68251   1.68251  -0.28463  -1.91899  -1.30972   0.83083   2.00000   0.83083  -1.30972  -1.91899  -0.28463   1.68251   1.68251  -0.28463  -1.91899  -1.30972   0.83083   2.00000   0.83083  -1.30972  -1.91899  -0.28463   1.68251   1.68251  -0.28463  -1.91899  -1.30972   0.83083   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E21      2.00000   0.72562  -1.47348  -1.79480   0.17115   1.91899   1.22130  -1.03279  -1.97071  -0.39718   1.68251   1.61803  -0.50844  -1.98696  -0.93333   1.30972   1.88369   0.05711  -1.84225  -1.39388   0.83083   1.99674   0.61803  -1.54828  -1.74149   0.28463   1.94802   1.12889  -1.12889  -1.94802  -0.28463   1.74149   1.54828  -0.61803  -1.99674  -0.83083   1.39388   1.84225  -0.05711  -1.88369  -1.30972   0.93333   1.98696   0.50844  -1.61803  -1.68251   0.39718   1.97071   1.03279  -1.22130  -1.91899  -0.17115   1.79480   1.47348  -0.72562  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E22      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   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E23      2.00000   0.50844  -1.74149  -1.39388   1.03279   1.91899  -0.05711  -1.94802  -0.93333   1.47348   1.68251  -0.61803  -1.99674  -0.39718   1.79480   1.30972  -1.12889  -1.88369   0.17115   1.97071   0.83083  -1.54828  -1.61803   0.72562   1.98696   0.28463  -1.84225  -1.22130   1.22130   1.84225  -0.28463  -1.98696  -0.72562   1.61803   1.54828  -0.83083  -1.97071  -0.17115   1.88369   1.12889  -1.30972  -1.79480   0.39718   1.99674   0.61803  -1.68251  -1.47348   0.93333   1.94802   0.05711  -1.91899  -1.03279   1.39388   1.74149  -0.50844  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E24      2.00000   0.39718  -1.84225  -1.12889   1.39388   1.68251  -0.72562  -1.97071  -0.05711   1.94802   0.83083  -1.61803  -1.47348   1.03279   1.88369  -0.28463  -1.99674  -0.50844   1.79480   1.22130  -1.30972  -1.74149   0.61803   1.98696   0.17115  -1.91899  -0.93333   1.54828   1.54828  -0.93333  -1.91899   0.17115   1.98696   0.61803  -1.74149  -1.30972   1.22130   1.79480  -0.50844  -1.99674  -0.28463   1.88369   1.03279  -1.47348  -1.61803   0.83083   1.94802  -0.05711  -1.97071  -0.72562   1.68251   1.39388  -1.12889  -1.84225   0.39718   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E25      2.00000   0.28463  -1.91899  -0.83083   1.68251   1.30972  -1.30972  -1.68251   0.83083   1.91899  -0.28463  -2.00000  -0.28463   1.91899   0.83083  -1.68251  -1.30972   1.30972   1.68251  -0.83083  -1.91899   0.28463   2.00000   0.28463  -1.91899  -0.83083   1.68251   1.30972  -1.30972  -1.68251   0.83083   1.91899  -0.28463  -2.00000  -0.28463   1.91899   0.83083  -1.68251  -1.30972   1.30972   1.68251  -0.83083  -1.91899   0.28463   2.00000   0.28463  -1.91899  -0.83083   1.68251   1.30972  -1.30972  -1.68251   0.83083   1.91899  -0.28463  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E26      2.00000   0.17115  -1.97071  -0.50844   1.88369   0.83083  -1.74149  -1.12889   1.54828   1.39388  -1.30972  -1.61803   1.03279   1.79480  -0.72562  -1.91899   0.39718   1.98696  -0.05711  -1.99674  -0.28463   1.94802   0.61803  -1.84225  -0.93333   1.68251   1.22130  -1.47348  -1.47348   1.22130   1.68251  -0.93333  -1.84225   0.61803   1.94802  -0.28463  -1.99674  -0.05711   1.98696   0.39718  -1.91899  -0.72562   1.79480   1.03279  -1.61803  -1.30972   1.39388   1.54828  -1.12889  -1.74149   0.83083   1.88369  -0.50844  -1.97071   0.17115   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E27      2.00000   0.05711  -1.99674  -0.17115   1.98696   0.28463  -1.97071  -0.39718   1.94802   0.50844  -1.91899  -0.61803   1.88369   0.72562  -1.84225  -0.83083   1.79480   0.93333  -1.74149  -1.03279   1.68251   1.12889  -1.61803  -1.22130   1.54828   1.30972  -1.47348  -1.39388   1.39388   1.47348  -1.30972  -1.54828   1.22130   1.61803  -1.12889  -1.68251   1.03279   1.74149  -0.93333  -1.79480   0.83083   1.84225  -0.72562  -1.88369   0.61803   1.91899  -0.50844  -1.94802   0.39718   1.97071  -0.28463  -1.98696   0.17115   1.99674  -0.05711  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E28      2.00000  -0.05711  -1.99674   0.17115   1.98696  -0.28463  -1.97071   0.39718   1.94802  -0.50844  -1.91899   0.61803   1.88369  -0.72562  -1.84225   0.83083   1.79480  -0.93333  -1.74149   1.03279   1.68251  -1.12889  -1.61803   1.22130   1.54828  -1.30972  -1.47348   1.39388   1.39388  -1.47348  -1.30972   1.54828   1.22130  -1.61803  -1.12889   1.68251   1.03279  -1.74149  -0.93333   1.79480   0.83083  -1.84225  -0.72562   1.88369   0.61803  -1.91899  -0.50844   1.94802   0.39718  -1.97071  -0.28463   1.98696   0.17115  -1.99674  -0.05711   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E29      2.00000  -0.17115  -1.97071   0.50844   1.88369  -0.83083  -1.74149   1.12889   1.54828  -1.39388  -1.30972   1.61803   1.03279  -1.79480  -0.72562   1.91899   0.39718  -1.98696  -0.05711   1.99674  -0.28463  -1.94802   0.61803   1.84225  -0.93333  -1.68251   1.22130   1.47348  -1.47348  -1.22130   1.68251   0.93333  -1.84225  -0.61803   1.94802   0.28463  -1.99674   0.05711   1.98696  -0.39718  -1.91899   0.72562   1.79480  -1.03279  -1.61803   1.30972   1.39388  -1.54828  -1.12889   1.74149   0.83083  -1.88369  -0.50844   1.97071   0.17115  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E30      2.00000  -0.28463  -1.91899   0.83083   1.68251  -1.30972  -1.30972   1.68251   0.83083  -1.91899  -0.28463   2.00000  -0.28463  -1.91899   0.83083   1.68251  -1.30972  -1.30972   1.68251   0.83083  -1.91899  -0.28463   2.00000  -0.28463  -1.91899   0.83083   1.68251  -1.30972  -1.30972   1.68251   0.83083  -1.91899  -0.28463   2.00000  -0.28463  -1.91899   0.83083   1.68251  -1.30972  -1.30972   1.68251   0.83083  -1.91899  -0.28463   2.00000  -0.28463  -1.91899   0.83083   1.68251  -1.30972  -1.30972   1.68251   0.83083  -1.91899  -0.28463   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E31      2.00000  -0.39718  -1.84225   1.12889   1.39388  -1.68251  -0.72562   1.97071  -0.05711  -1.94802   0.83083   1.61803  -1.47348  -1.03279   1.88369   0.28463  -1.99674   0.50844   1.79480  -1.22130  -1.30972   1.74149   0.61803  -1.98696   0.17115   1.91899  -0.93333  -1.54828   1.54828   0.93333  -1.91899  -0.17115   1.98696  -0.61803  -1.74149   1.30972   1.22130  -1.79480  -0.50844   1.99674  -0.28463  -1.88369   1.03279   1.47348  -1.61803  -0.83083   1.94802   0.05711  -1.97071   0.72562   1.68251  -1.39388  -1.12889   1.84225   0.39718  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E32      2.00000  -0.50844  -1.74149   1.39388   1.03279  -1.91899  -0.05711   1.94802  -0.93333  -1.47348   1.68251   0.61803  -1.99674   0.39718   1.79480  -1.30972  -1.12889   1.88369   0.17115  -1.97071   0.83083   1.54828  -1.61803  -0.72562   1.98696  -0.28463  -1.84225   1.22130   1.22130  -1.84225  -0.28463   1.98696  -0.72562  -1.61803   1.54828   0.83083  -1.97071   0.17115   1.88369  -1.12889  -1.30972   1.79480   0.39718  -1.99674   0.61803   1.68251  -1.47348  -0.93333   1.94802  -0.05711  -1.91899   1.03279   1.39388  -1.74149  -0.50844   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E33      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   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E34      2.00000  -0.72562  -1.47348   1.79480   0.17115  -1.91899   1.22130   1.03279  -1.97071   0.39718   1.68251  -1.61803  -0.50844   1.98696  -0.93333  -1.30972   1.88369  -0.05711  -1.84225   1.39388   0.83083  -1.99674   0.61803   1.54828  -1.74149  -0.28463   1.94802  -1.12889  -1.12889   1.94802  -0.28463  -1.74149   1.54828   0.61803  -1.99674   0.83083   1.39388  -1.84225  -0.05711   1.88369  -1.30972  -0.93333   1.98696  -0.50844  -1.61803   1.68251   0.39718  -1.97071   1.03279   1.22130  -1.91899   0.17115   1.79480  -1.47348  -0.72562   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E35      2.00000  -0.83083  -1.30972   1.91899  -0.28463  -1.68251   1.68251   0.28463  -1.91899   1.30972   0.83083  -2.00000   0.83083   1.30972  -1.91899   0.28463   1.68251  -1.68251  -0.28463   1.91899  -1.30972  -0.83083   2.00000  -0.83083  -1.30972   1.91899  -0.28463  -1.68251   1.68251   0.28463  -1.91899   1.30972   0.83083  -2.00000   0.83083   1.30972  -1.91899   0.28463   1.68251  -1.68251  -0.28463   1.91899  -1.30972  -0.83083   2.00000  -0.83083  -1.30972   1.91899  -0.28463  -1.68251   1.68251   0.28463  -1.91899   1.30972   0.83083  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E36      2.00000  -0.93333  -1.12889   1.98696  -0.72562  -1.30972   1.94802  -0.50844  -1.47348   1.88369  -0.28463  -1.61803   1.79480  -0.05711  -1.74149   1.68251   0.17115  -1.84225   1.54828   0.39718  -1.91899   1.39388   0.61803  -1.97071   1.22130   0.83083  -1.99674   1.03279   1.03279  -1.99674   0.83083   1.22130  -1.97071   0.61803   1.39388  -1.91899   0.39718   1.54828  -1.84225   0.17115   1.68251  -1.74149  -0.05711   1.79480  -1.61803  -0.28463   1.88369  -1.47348  -0.50844   1.94802  -1.30972  -0.72562   1.98696  -1.12889  -0.93333   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E37      2.00000  -1.03279  -0.93333   1.99674  -1.12889  -0.83083   1.98696  -1.22130  -0.72562   1.97071  -1.30972  -0.61803   1.94802  -1.39388  -0.50844   1.91899  -1.47348  -0.39718   1.88369  -1.54828  -0.28463   1.84225  -1.61803  -0.17115   1.79480  -1.68251  -0.05711   1.74149  -1.74149   0.05711   1.68251  -1.79480   0.17115   1.61803  -1.84225   0.28463   1.54828  -1.88369   0.39718   1.47348  -1.91899   0.50844   1.39388  -1.94802   0.61803   1.30972  -1.97071   0.72562   1.22130  -1.98696   0.83083   1.12889  -1.99674   0.93333   1.03279  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E38      2.00000  -1.12889  -0.72562   1.94802  -1.47348  -0.28463   1.79480  -1.74149   0.17115   1.54828  -1.91899   0.61803   1.22130  -1.99674   1.03279   0.83083  -1.97071   1.39388   0.39718  -1.84225   1.68251  -0.05711  -1.61803   1.88369  -0.50844  -1.30972   1.98696  -0.93333  -0.93333   1.98696  -1.30972  -0.50844   1.88369  -1.61803  -0.05711   1.68251  -1.84225   0.39718   1.39388  -1.97071   0.83083   1.03279  -1.99674   1.22130   0.61803  -1.91899   1.54828   0.17115  -1.74149   1.79480  -0.28463  -1.47348   1.94802  -0.72562  -1.12889   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E39      2.00000  -1.22130  -0.50844   1.84225  -1.74149   0.28463   1.39388  -1.98696   1.03279   0.72562  -1.91899   1.61803  -0.05711  -1.54828   1.94802  -0.83083  -0.93333   1.97071  -1.47348  -0.17115   1.68251  -1.88369   0.61803   1.12889  -1.99674   1.30972   0.39718  -1.79480   1.79480  -0.39718  -1.30972   1.99674  -1.12889  -0.61803   1.88369  -1.68251   0.17115   1.47348  -1.97071   0.93333   0.83083  -1.94802   1.54828   0.05711  -1.61803   1.91899  -0.72562  -1.03279   1.98696  -1.39388  -0.28463   1.74149  -1.84225   0.50844   1.22130  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E40      2.00000  -1.30972  -0.28463   1.68251  -1.91899   0.83083   0.83083  -1.91899   1.68251  -0.28463  -1.30972   2.00000  -1.30972  -0.28463   1.68251  -1.91899   0.83083   0.83083  -1.91899   1.68251  -0.28463  -1.30972   2.00000  -1.30972  -0.28463   1.68251  -1.91899   0.83083   0.83083  -1.91899   1.68251  -0.28463  -1.30972   2.00000  -1.30972  -0.28463   1.68251  -1.91899   0.83083   0.83083  -1.91899   1.68251  -0.28463  -1.30972   2.00000  -1.30972  -0.28463   1.68251  -1.91899   0.83083   0.83083  -1.91899   1.68251  -0.28463  -1.30972   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E41      2.00000  -1.39388  -0.05711   1.47348  -1.99674   1.30972   0.17115  -1.54828   1.98696  -1.22130  -0.28463   1.61803  -1.97071   1.12889   0.39718  -1.68251   1.94802  -1.03279  -0.50844   1.74149  -1.91899   0.93333   0.61803  -1.79480   1.88369  -0.83083  -0.72562   1.84225  -1.84225   0.72562   0.83083  -1.88369   1.79480  -0.61803  -0.93333   1.91899  -1.74149   0.50844   1.03279  -1.94802   1.68251  -0.39718  -1.12889   1.97071  -1.61803   0.28463   1.22130  -1.98696   1.54828  -0.17115  -1.30972   1.99674  -1.47348   0.05711   1.39388  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E42      2.00000  -1.47348   0.17115   1.22130  -1.97071   1.68251  -0.50844  -0.93333   1.88369  -1.84225   0.83083   0.61803  -1.74149   1.94802  -1.12889  -0.28463   1.54828  -1.99674   1.39388  -0.05711  -1.30972   1.98696  -1.61803   0.39718   1.03279  -1.91899   1.79480  -0.72562  -0.72562   1.79480  -1.91899   1.03279   0.39718  -1.61803   1.98696  -1.30972  -0.05711   1.39388  -1.99674   1.54828  -0.28463  -1.12889   1.94802  -1.74149   0.61803   0.83083  -1.84225   1.88369  -0.93333  -0.50844   1.68251  -1.97071   1.22130   0.17115  -1.47348   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E43      2.00000  -1.54828   0.39718   0.93333  -1.84225   1.91899  -1.12889  -0.17115   1.39388  -1.98696   1.68251  -0.61803  -0.72562   1.74149  -1.97071   1.30972  -0.05711  -1.22130   1.94802  -1.79480   0.83083   0.50844  -1.61803   1.99674  -1.47348   0.28463   1.03279  -1.88369   1.88369  -1.03279  -0.28463   1.47348  -1.99674   1.61803  -0.50844  -0.83083   1.79480  -1.94802   1.22130   0.05711  -1.30972   1.97071  -1.74149   0.72562   0.61803  -1.68251   1.98696  -1.39388   0.17115   1.12889  -1.91899   1.84225  -0.93333  -0.39718   1.54828  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E44      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   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E45      2.00000  -1.68251   0.83083   0.28463  -1.30972   1.91899  -1.91899   1.30972  -0.28463  -0.83083   1.68251  -2.00000   1.68251  -0.83083  -0.28463   1.30972  -1.91899   1.91899  -1.30972   0.28463   0.83083  -1.68251   2.00000  -1.68251   0.83083   0.28463  -1.30972   1.91899  -1.91899   1.30972  -0.28463  -0.83083   1.68251  -2.00000   1.68251  -0.83083  -0.28463   1.30972  -1.91899   1.91899  -1.30972   0.28463   0.83083  -1.68251   2.00000  -1.68251   0.83083   0.28463  -1.30972   1.91899  -1.91899   1.30972  -0.28463  -0.83083   1.68251  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E46      2.00000  -1.74149   1.03279  -0.05711  -0.93333   1.68251  -1.99674   1.79480  -1.12889   0.17115   0.83083  -1.61803   1.98696  -1.84225   1.22130  -0.28463  -0.72562   1.54828  -1.97071   1.88369  -1.30972   0.39718   0.61803  -1.47348   1.94802  -1.91899   1.39388  -0.50844  -0.50844   1.39388  -1.91899   1.94802  -1.47348   0.61803   0.39718  -1.30972   1.88369  -1.97071   1.54828  -0.72562  -0.28463   1.22130  -1.84225   1.98696  -1.61803   0.83083   0.17115  -1.12889   1.79480  -1.99674   1.68251  -0.93333  -0.05711   1.03279  -1.74149   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E47      2.00000  -1.79480   1.22130  -0.39718  -0.50844   1.30972  -1.84225   1.99674  -1.74149   1.12889  -0.28463  -0.61803   1.39388  -1.88369   1.98696  -1.68251   1.03279  -0.17115  -0.72562   1.47348  -1.91899   1.97071  -1.61803   0.93333  -0.05711  -0.83083   1.54828  -1.94802   1.94802  -1.54828   0.83083   0.05711  -0.93333   1.61803  -1.97071   1.91899  -1.47348   0.72562   0.17115  -1.03279   1.68251  -1.98696   1.88369  -1.39388   0.61803   0.28463  -1.12889   1.74149  -1.99674   1.84225  -1.30972   0.50844   0.39718  -1.22130   1.79480  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E48      2.00000  -1.84225   1.39388  -0.72562  -0.05711   0.83083  -1.47348   1.88369  -1.99674   1.79480  -1.30972   0.61803   0.17115  -0.93333   1.54828  -1.91899   1.98696  -1.74149   1.22130  -0.50844  -0.28463   1.03279  -1.61803   1.94802  -1.97071   1.68251  -1.12889   0.39718   0.39718  -1.12889   1.68251  -1.97071   1.94802  -1.61803   1.03279  -0.28463  -0.50844   1.22130  -1.74149   1.98696  -1.91899   1.54828  -0.93333   0.17115   0.61803  -1.30972   1.79480  -1.99674   1.88369  -1.47348   0.83083  -0.05711  -0.72562   1.39388  -1.84225   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E49      2.00000  -1.88369   1.54828  -1.03279   0.39718   0.28463  -0.93333   1.47348  -1.84225   1.99674  -1.91899   1.61803  -1.12889   0.50844   0.17115  -0.83083   1.39388  -1.79480   1.98696  -1.94802   1.68251  -1.22130   0.61803   0.05711  -0.72562   1.30972  -1.74149   1.97071  -1.97071   1.74149  -1.30972   0.72562  -0.05711  -0.61803   1.22130  -1.68251   1.94802  -1.98696   1.79480  -1.39388   0.83083  -0.17115  -0.50844   1.12889  -1.61803   1.91899  -1.99674   1.84225  -1.47348   0.93333  -0.28463  -0.39718   1.03279  -1.54828   1.88369  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E50      2.00000  -1.91899   1.68251  -1.30972   0.83083  -0.28463  -0.28463   0.83083  -1.30972   1.68251  -1.91899   2.00000  -1.91899   1.68251  -1.30972   0.83083  -0.28463  -0.28463   0.83083  -1.30972   1.68251  -1.91899   2.00000  -1.91899   1.68251  -1.30972   0.83083  -0.28463  -0.28463   0.83083  -1.30972   1.68251  -1.91899   2.00000  -1.91899   1.68251  -1.30972   0.83083  -0.28463  -0.28463   0.83083  -1.30972   1.68251  -1.91899   2.00000  -1.91899   1.68251  -1.30972   0.83083  -0.28463  -0.28463   0.83083  -1.30972   1.68251  -1.91899   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E51      2.00000  -1.94802   1.79480  -1.54828   1.22130  -0.83083   0.39718   0.05711  -0.50844   0.93333  -1.30972   1.61803  -1.84225   1.97071  -1.99674   1.91899  -1.74149   1.47348  -1.12889   0.72562  -0.28463  -0.17115   0.61803  -1.03279   1.39388  -1.68251   1.88369  -1.98696   1.98696  -1.88369   1.68251  -1.39388   1.03279  -0.61803   0.17115   0.28463  -0.72562   1.12889  -1.47348   1.74149  -1.91899   1.99674  -1.97071   1.84225  -1.61803   1.30972  -0.93333   0.50844  -0.05711  -0.39718   0.83083  -1.22130   1.54828  -1.79480   1.94802  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E52      2.00000  -1.97071   1.88369  -1.74149   1.54828  -1.30972   1.03279  -0.72562   0.39718  -0.05711  -0.28463   0.61803  -0.93333   1.22130  -1.47348   1.68251  -1.84225   1.94802  -1.99674   1.98696  -1.91899   1.79480  -1.61803   1.39388  -1.12889   0.83083  -0.50844   0.17115   0.17115  -0.50844   0.83083  -1.12889   1.39388  -1.61803   1.79480  -1.91899   1.98696  -1.99674   1.94802  -1.84225   1.68251  -1.47348   1.22130  -0.93333   0.61803  -0.28463  -0.05711   0.39718  -0.72562   1.03279  -1.30972   1.54828  -1.74149   1.88369  -1.97071   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E53      2.00000  -1.98696   1.94802  -1.88369   1.79480  -1.68251   1.54828  -1.39388   1.22130  -1.03279   0.83083  -0.61803   0.39718  -0.17115  -0.05711   0.28463  -0.50844   0.72562  -0.93333   1.12889  -1.30972   1.47348  -1.61803   1.74149  -1.84225   1.91899  -1.97071   1.99674  -1.99674   1.97071  -1.91899   1.84225  -1.74149   1.61803  -1.47348   1.30972  -1.12889   0.93333  -0.72562   0.50844  -0.28463   0.05711   0.17115  -0.39718   0.61803  -0.83083   1.03279  -1.22130   1.39388  -1.54828   1.68251  -1.79480   1.88369  -1.94802   1.98696  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E54      2.00000  -1.99674   1.98696  -1.97071   1.94802  -1.91899   1.88369  -1.84225   1.79480  -1.74149   1.68251  -1.61803   1.54828  -1.47348   1.39388  -1.30972   1.22130  -1.12889   1.03279  -0.93333   0.83083  -0.72562   0.61803  -0.50844   0.39718  -0.28463   0.17115  -0.05711  -0.05711   0.17115  -0.28463   0.39718  -0.50844   0.61803  -0.72562   0.83083  -0.93333   1.03279  -1.12889   1.22130  -1.30972   1.39388  -1.47348   1.54828  -1.61803   1.68251  -1.74149   1.79480  -1.84225   1.88369  -1.91899   1.94802  -1.97071   1.98696  -1.99674   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............

 Irrational character values:  1.996738207852 = 2*cos(2*π/110) = 2*cos(π/55)
                               1.986963470697 = 2*cos(4*π/110) = 2*cos(2*π/55)
                               1.970707671695 = 2*cos(6*π/110) = 2*cos(3*π/55)
                               1.948023833885 = 2*cos(8*π/110) = 2*cos(4*π/55)
                               1.918985947229 = 2*cos(10*π/110) = 2*cos(π/11)
                               1.883688727279 = 2*cos(12*π/110) = 2*cos(6*π/55)
                               1.842247306230 = 2*cos(14*π/110) = 2*cos(7*π/55)
                               1.794796857383 = 2*cos(16*π/110) = 2*cos(8*π/55)
                               1.741492154240 = 2*cos(18*π/110) = 2*cos(9*π/55)
                               1.682507065662 = 2*cos(20*π/110) = 2*cos(2*π/11)
                               1.618033988750 = 2*cos(22*π/110) = 2*cos(π/5) = (√5+1)/2
                               1.548283221278 = 2*cos(24*π/110) = 2*cos(12*π/55)
                               1.473482275753 = 2*cos(26*π/110) = 2*cos(13*π/55)
                               1.393875137311 = 2*cos(28*π/110) = 2*cos(14*π/55)
                               1.309721467891 = 2*cos(30*π/110) = 2*cos(3*π/11)
                               1.221295759271 = 2*cos(32*π/110) = 2*cos(16*π/55)
                               1.128886437734 = 2*cos(34*π/110) = 2*cos(17*π/55)
                               1.032794923278 = 2*cos(36*π/110) = 2*cos(18*π/55)
                               0.933334646451 = 2*cos(38*π/110) = 2*cos(19*π/55)
                               0.830830026004 = 2*cos(40*π/110) = 2*cos(4*π/11)
                               0.725615410701 = 2*cos(42*π/110) = 2*cos(21*π/55)
                               0.618033988750 = 2*cos(44*π/110) = 2*cos(2*π/5) = (√5−1)/2
                               0.508436668387 = 2*cos(46*π/110) = 2*cos(23*π/55)
                               0.397180933291 = 2*cos(48*π/110) = 2*cos(24*π/55)
                               0.284629676547 = 2*cos(50*π/110) = 2*cos(5*π/11)
                               0.171150016958 = 2*cos(52*π/110) = 2*cos(26*π/55)
                               0.057112101587 = 2*cos(54*π/110) = 2*cos(27*π/55)



 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 D110 point group is 220, and the order of the principal axis (C110) is 110. The group has 58 irreducible representations.

    β  The D110 point group is isomorphic to D55d, D55h and C110v.

    γ  The D110 point group is generated by two symmetry elements, C110 and a perpendicular C2 (or, non-canonically, C2).
       Also, the group may be generated from a C2 plus a C2 (some pairs will yield smaller groups, though; choosing a minimum angle is safe).

    δ  There are two different sets of twofold symmetry axes perpendicular to the principal axis (z axis in standard orientation).
       By convention, the set denoted as C2 has the x axis as a member, while the y axis is a member of the C2 set.

    ε  The lowest nonvanishing multipole moment in D110 is 4 (quadrupole moment).

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

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

    θ  Some of the characters in the table are irrational because the order of the principal axis is neither 1,2,3,4 nor 6.
       These irrational values can be expressed as cosine values, or as solutions of algebraic equations with a leading coefficient of 1.
       All characters are algebraic integers of a degree much less than half the order of the principal axis.
       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 D110 point group was created by Gernot Katzer.

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