Character table for the D66d point group

D66d    E         2 S132    2 C66     2 S44     2 C33     2 S132^5  2 C22     2 S132^7  2 C33^2   2 S44^3   2 C66^5   2 S12     2 C11     2 S132^13 2 C66^7   2 S44^5   2 C33^4   2 S132^17 2 C22^3   2 S132^19 2 C33^5   2 S44^7   2 C6      2 S132^23 2 C11^2   2 S132^25 2 C66^13  2 S44^9   2 C33^7   2 S132^29 2 C22^5   2 S132^31 2 C33^8   2 S4      2 C66^17  2 S132^35 2 C11^3   2 S132^37 2 C66^19  2 S44^13  2 C33^10  2 S132^41 2 C22^7   2 S132^43 2 C3      2 S44^15  2 C66^23  2 S132^47 2 C11^4   2 S132^49 2 C66^25  2 S44^17  2 C33^13  2 S132^53 2 C22^9   2 S12^5   2 C33^14  2 S44^19  2 C66^29  2 S132^59 2 C11^5   2 S132^61 2 C66^31  2 S44^21  2 C33^16  2 S132^65 C2        66 C2'    66 sd        <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   1.00000   1.00000   1.00000   1.00000   1.00000     ... ... ....T ....... ........T ........... ............T
A2       1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000   1.00000  -1.00000  -1.00000     ..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   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   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 .............
E1       2.00000   1.99773   1.99094   1.97964   1.96386   1.94362   1.91899   1.89000   1.85674   1.81926   1.77767   1.73205   1.68251   1.62915   1.57211   1.51150   1.44747   1.38016   1.30972   1.23632   1.16011   1.08128   1.00000   0.91645   0.83083   0.74332   0.65414   0.56347   0.47152   0.37850   0.28463   0.19011   0.09516   0.00000  -0.09516  -0.19011  -0.28463  -0.37850  -0.47152  -0.56347  -0.65414  -0.74332  -0.83083  -0.91645  -1.00000  -1.08128  -1.16011  -1.23632  -1.30972  -1.38016  -1.44747  -1.51150  -1.57211  -1.62915  -1.68251  -1.73205  -1.77767  -1.81926  -1.85674  -1.89000  -1.91899  -1.94362  -1.96386  -1.97964  -1.99094  -1.99773  -2.00000   0.00000   0.00000     ... TT. ..... ....TT. ......... ........TT. .............
E2       2.00000   1.99094   1.96386   1.91899   1.85674   1.77767   1.68251   1.57211   1.44747   1.30972   1.16011   1.00000   0.83083   0.65414   0.47152   0.28463   0.09516  -0.09516  -0.28463  -0.47152  -0.65414  -0.83083  -1.00000  -1.16011  -1.30972  -1.44747  -1.57211  -1.68251  -1.77767  -1.85674  -1.91899  -1.96386  -1.99094  -2.00000  -1.99094  -1.96386  -1.91899  -1.85674  -1.77767  -1.68251  -1.57211  -1.44747  -1.30972  -1.16011  -1.00000  -0.83083  -0.65414  -0.47152  -0.28463  -0.09516   0.09516   0.28463   0.47152   0.65414   0.83083   1.00000   1.16011   1.30972   1.44747   1.57211   1.68251   1.77767   1.85674   1.91899   1.96386   1.99094   2.00000   0.00000   0.00000     ... ... TT... ....... ....TT... ........... ........TT...
E3       2.00000   1.97964   1.91899   1.81926   1.68251   1.51150   1.30972   1.08128   0.83083   0.56347   0.28463   0.00000  -0.28463  -0.56347  -0.83083  -1.08128  -1.30972  -1.51150  -1.68251  -1.81926  -1.91899  -1.97964  -2.00000  -1.97964  -1.91899  -1.81926  -1.68251  -1.51150  -1.30972  -1.08128  -0.83083  -0.56347  -0.28463   0.00000   0.28463   0.56347   0.83083   1.08128   1.30972   1.51150   1.68251   1.81926   1.91899   1.97964   2.00000   1.97964   1.91899   1.81926   1.68251   1.51150   1.30972   1.08128   0.83083   0.56347   0.28463   0.00000  -0.28463  -0.56347  -0.83083  -1.08128  -1.30972  -1.51150  -1.68251  -1.81926  -1.91899  -1.97964  -2.00000   0.00000   0.00000     ... ... ..... TT..... ......... ....TT..... .............
E4       2.00000   1.96386   1.85674   1.68251   1.44747   1.16011   0.83083   0.47152   0.09516  -0.28463  -0.65414  -1.00000  -1.30972  -1.57211  -1.77767  -1.91899  -1.99094  -1.99094  -1.91899  -1.77767  -1.57211  -1.30972  -1.00000  -0.65414  -0.28463   0.09516   0.47152   0.83083   1.16011   1.44747   1.68251   1.85674   1.96386   2.00000   1.96386   1.85674   1.68251   1.44747   1.16011   0.83083   0.47152   0.09516  -0.28463  -0.65414  -1.00000  -1.30972  -1.57211  -1.77767  -1.91899  -1.99094  -1.99094  -1.91899  -1.77767  -1.57211  -1.30972  -1.00000  -0.65414  -0.28463   0.09516   0.47152   0.83083   1.16011   1.44747   1.68251   1.85674   1.96386   2.00000   0.00000   0.00000     ... ... ..... ....... TT....... ........... ....TT.......
E5       2.00000   1.94362   1.77767   1.51150   1.16011   0.74332   0.28463  -0.19011  -0.65414  -1.08128  -1.44747  -1.73205  -1.91899  -1.99773  -1.96386  -1.81926  -1.57211  -1.23632  -0.83083  -0.37850   0.09516   0.56347   1.00000   1.38016   1.68251   1.89000   1.99094   1.97964   1.85674   1.62915   1.30972   0.91645   0.47152   0.00000  -0.47152  -0.91645  -1.30972  -1.62915  -1.85674  -1.97964  -1.99094  -1.89000  -1.68251  -1.38016  -1.00000  -0.56347  -0.09516   0.37850   0.83083   1.23632   1.57211   1.81926   1.96386   1.99773   1.91899   1.73205   1.44747   1.08128   0.65414   0.19011  -0.28463  -0.74332  -1.16011  -1.51150  -1.77767  -1.94362  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... TT......... .............
E6       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  -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...........
E7       2.00000   1.89000   1.57211   1.08128   0.47152  -0.19011  -0.83083  -1.38016  -1.77767  -1.97964  -1.96386  -1.73205  -1.30972  -0.74332  -0.09516   0.56347   1.16011   1.62915   1.91899   1.99773   1.85674   1.51150   1.00000   0.37850  -0.28463  -0.91645  -1.44747  -1.81926  -1.99094  -1.94362  -1.68251  -1.23632  -0.65414   0.00000   0.65414   1.23632   1.68251   1.94362   1.99094   1.81926   1.44747   0.91645   0.28463  -0.37850  -1.00000  -1.51150  -1.85674  -1.99773  -1.91899  -1.62915  -1.16011  -0.56347   0.09516   0.74332   1.30972   1.73205   1.96386   1.97964   1.77767   1.38016   0.83083   0.19011  -0.47152  -1.08128  -1.57211  -1.89000  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E8       2.00000   1.85674   1.44747   0.83083   0.09516  -0.65414  -1.30972  -1.77767  -1.99094  -1.91899  -1.57211  -1.00000  -0.28463   0.47152   1.16011   1.68251   1.96386   1.96386   1.68251   1.16011   0.47152  -0.28463  -1.00000  -1.57211  -1.91899  -1.99094  -1.77767  -1.30972  -0.65414   0.09516   0.83083   1.44747   1.85674   2.00000   1.85674   1.44747   0.83083   0.09516  -0.65414  -1.30972  -1.77767  -1.99094  -1.91899  -1.57211  -1.00000  -0.28463   0.47152   1.16011   1.68251   1.96386   1.96386   1.68251   1.16011   0.47152  -0.28463  -1.00000  -1.57211  -1.91899  -1.99094  -1.77767  -1.30972  -0.65414   0.09516   0.83083   1.44747   1.85674   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E9       2.00000   1.81926   1.30972   0.56347  -0.28463  -1.08128  -1.68251  -1.97964  -1.91899  -1.51150  -0.83083   0.00000   0.83083   1.51150   1.91899   1.97964   1.68251   1.08128   0.28463  -0.56347  -1.30972  -1.81926  -2.00000  -1.81926  -1.30972  -0.56347   0.28463   1.08128   1.68251   1.97964   1.91899   1.51150   0.83083   0.00000  -0.83083  -1.51150  -1.91899  -1.97964  -1.68251  -1.08128  -0.28463   0.56347   1.30972   1.81926   2.00000   1.81926   1.30972   0.56347  -0.28463  -1.08128  -1.68251  -1.97964  -1.91899  -1.51150  -0.83083   0.00000   0.83083   1.51150   1.91899   1.97964   1.68251   1.08128   0.28463  -0.56347  -1.30972  -1.81926  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E10      2.00000   1.77767   1.16011   0.28463  -0.65414  -1.44747  -1.91899  -1.96386  -1.57211  -0.83083   0.09516   1.00000   1.68251   1.99094   1.85674   1.30972   0.47152  -0.47152  -1.30972  -1.85674  -1.99094  -1.68251  -1.00000  -0.09516   0.83083   1.57211   1.96386   1.91899   1.44747   0.65414  -0.28463  -1.16011  -1.77767  -2.00000  -1.77767  -1.16011  -0.28463   0.65414   1.44747   1.91899   1.96386   1.57211   0.83083  -0.09516  -1.00000  -1.68251  -1.99094  -1.85674  -1.30972  -0.47152   0.47152   1.30972   1.85674   1.99094   1.68251   1.00000   0.09516  -0.83083  -1.57211  -1.96386  -1.91899  -1.44747  -0.65414   0.28463   1.16011   1.77767   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E11      2.00000   1.73205   1.00000   0.00000  -1.00000  -1.73205  -2.00000  -1.73205  -1.00000   0.00000   1.00000   1.73205   2.00000   1.73205   1.00000   0.00000  -1.00000  -1.73205  -2.00000  -1.73205  -1.00000   0.00000   1.00000   1.73205   2.00000   1.73205   1.00000   0.00000  -1.00000  -1.73205  -2.00000  -1.73205  -1.00000   0.00000   1.00000   1.73205   2.00000   1.73205   1.00000   0.00000  -1.00000  -1.73205  -2.00000  -1.73205  -1.00000   0.00000   1.00000   1.73205   2.00000   1.73205   1.00000   0.00000  -1.00000  -1.73205  -2.00000  -1.73205  -1.00000   0.00000   1.00000   1.73205   2.00000   1.73205   1.00000   0.00000  -1.00000  -1.73205  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E12      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   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     ... ... ..... ....... ......... ........... .............
E13      2.00000   1.62915   0.65414  -0.56347  -1.57211  -1.99773  -1.68251  -0.74332   0.47152   1.51150   1.99094   1.73205   0.83083  -0.37850  -1.44747  -1.97964  -1.77767  -0.91645   0.28463   1.38016   1.96386   1.81926   1.00000  -0.19011  -1.30972  -1.94362  -1.85674  -1.08128   0.09516   1.23632   1.91899   1.89000   1.16011   0.00000  -1.16011  -1.89000  -1.91899  -1.23632  -0.09516   1.08128   1.85674   1.94362   1.30972   0.19011  -1.00000  -1.81926  -1.96386  -1.38016  -0.28463   0.91645   1.77767   1.97964   1.44747   0.37850  -0.83083  -1.73205  -1.99094  -1.51150  -0.47152   0.74332   1.68251   1.99773   1.57211   0.56347  -0.65414  -1.62915  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E14      2.00000   1.57211   0.47152  -0.83083  -1.77767  -1.96386  -1.30972  -0.09516   1.16011   1.91899   1.85674   1.00000  -0.28463  -1.44747  -1.99094  -1.68251  -0.65414   0.65414   1.68251   1.99094   1.44747   0.28463  -1.00000  -1.85674  -1.91899  -1.16011   0.09516   1.30972   1.96386   1.77767   0.83083  -0.47152  -1.57211  -2.00000  -1.57211  -0.47152   0.83083   1.77767   1.96386   1.30972   0.09516  -1.16011  -1.91899  -1.85674  -1.00000   0.28463   1.44747   1.99094   1.68251   0.65414  -0.65414  -1.68251  -1.99094  -1.44747  -0.28463   1.00000   1.85674   1.91899   1.16011  -0.09516  -1.30972  -1.96386  -1.77767  -0.83083   0.47152   1.57211   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E15      2.00000   1.51150   0.28463  -1.08128  -1.91899  -1.81926  -0.83083   0.56347   1.68251   1.97964   1.30972   0.00000  -1.30972  -1.97964  -1.68251  -0.56347   0.83083   1.81926   1.91899   1.08128  -0.28463  -1.51150  -2.00000  -1.51150  -0.28463   1.08128   1.91899   1.81926   0.83083  -0.56347  -1.68251  -1.97964  -1.30972   0.00000   1.30972   1.97964   1.68251   0.56347  -0.83083  -1.81926  -1.91899  -1.08128   0.28463   1.51150   2.00000   1.51150   0.28463  -1.08128  -1.91899  -1.81926  -0.83083   0.56347   1.68251   1.97964   1.30972   0.00000  -1.30972  -1.97964  -1.68251  -0.56347   0.83083   1.81926   1.91899   1.08128  -0.28463  -1.51150  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E16      2.00000   1.44747   0.09516  -1.30972  -1.99094  -1.57211  -0.28463   1.16011   1.96386   1.68251   0.47152  -1.00000  -1.91899  -1.77767  -0.65414   0.83083   1.85674   1.85674   0.83083  -0.65414  -1.77767  -1.91899  -1.00000   0.47152   1.68251   1.96386   1.16011  -0.28463  -1.57211  -1.99094  -1.30972   0.09516   1.44747   2.00000   1.44747   0.09516  -1.30972  -1.99094  -1.57211  -0.28463   1.16011   1.96386   1.68251   0.47152  -1.00000  -1.91899  -1.77767  -0.65414   0.83083   1.85674   1.85674   0.83083  -0.65414  -1.77767  -1.91899  -1.00000   0.47152   1.68251   1.96386   1.16011  -0.28463  -1.57211  -1.99094  -1.30972   0.09516   1.44747   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E17      2.00000   1.38016  -0.09516  -1.51150  -1.99094  -1.23632   0.28463   1.62915   1.96386   1.08128  -0.47152  -1.73205  -1.91899  -0.91645   0.65414   1.81926   1.85674   0.74332  -0.83083  -1.89000  -1.77767  -0.56347   1.00000   1.94362   1.68251   0.37850  -1.16011  -1.97964  -1.57211  -0.19011   1.30972   1.99773   1.44747   0.00000  -1.44747  -1.99773  -1.30972   0.19011   1.57211   1.97964   1.16011  -0.37850  -1.68251  -1.94362  -1.00000   0.56347   1.77767   1.89000   0.83083  -0.74332  -1.85674  -1.81926  -0.65414   0.91645   1.91899   1.73205   0.47152  -1.08128  -1.96386  -1.62915  -0.28463   1.23632   1.99094   1.51150   0.09516  -1.38016  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E18      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  -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     ... ... ..... ....... ......... ........... .............
E19      2.00000   1.23632  -0.47152  -1.81926  -1.77767  -0.37850   1.30972   1.99773   1.16011  -0.56347  -1.85674  -1.73205  -0.28463   1.38016   1.99094   1.08128  -0.65414  -1.89000  -1.68251  -0.19011   1.44747   1.97964   1.00000  -0.74332  -1.91899  -1.62915  -0.09516   1.51150   1.96386   0.91645  -0.83083  -1.94362  -1.57211   0.00000   1.57211   1.94362   0.83083  -0.91645  -1.96386  -1.51150   0.09516   1.62915   1.91899   0.74332  -1.00000  -1.97964  -1.44747   0.19011   1.68251   1.89000   0.65414  -1.08128  -1.99094  -1.38016   0.28463   1.73205   1.85674   0.56347  -1.16011  -1.99773  -1.30972   0.37850   1.77767   1.81926   0.47152  -1.23632  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E20      2.00000   1.16011  -0.65414  -1.91899  -1.57211   0.09516   1.68251   1.85674   0.47152  -1.30972  -1.99094  -1.00000   0.83083   1.96386   1.44747  -0.28463  -1.77767  -1.77767  -0.28463   1.44747   1.96386   0.83083  -1.00000  -1.99094  -1.30972   0.47152   1.85674   1.68251   0.09516  -1.57211  -1.91899  -0.65414   1.16011   2.00000   1.16011  -0.65414  -1.91899  -1.57211   0.09516   1.68251   1.85674   0.47152  -1.30972  -1.99094  -1.00000   0.83083   1.96386   1.44747  -0.28463  -1.77767  -1.77767  -0.28463   1.44747   1.96386   0.83083  -1.00000  -1.99094  -1.30972   0.47152   1.85674   1.68251   0.09516  -1.57211  -1.91899  -0.65414   1.16011   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E21      2.00000   1.08128  -0.83083  -1.97964  -1.30972   0.56347   1.91899   1.51150  -0.28463  -1.81926  -1.68251   0.00000   1.68251   1.81926   0.28463  -1.51150  -1.91899  -0.56347   1.30972   1.97964   0.83083  -1.08128  -2.00000  -1.08128   0.83083   1.97964   1.30972  -0.56347  -1.91899  -1.51150   0.28463   1.81926   1.68251   0.00000  -1.68251  -1.81926  -0.28463   1.51150   1.91899   0.56347  -1.30972  -1.97964  -0.83083   1.08128   2.00000   1.08128  -0.83083  -1.97964  -1.30972   0.56347   1.91899   1.51150  -0.28463  -1.81926  -1.68251   0.00000   1.68251   1.81926   0.28463  -1.51150  -1.91899  -0.56347   1.30972   1.97964   0.83083  -1.08128  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E22      2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   1.00000  -1.00000  -2.00000  -1.00000   1.00000   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E23      2.00000   0.91645  -1.16011  -1.97964  -0.65414   1.38016   1.91899   0.37850  -1.57211  -1.81926  -0.09516   1.73205   1.68251  -0.19011  -1.85674  -1.51150   0.47152   1.94362   1.30972  -0.74332  -1.99094  -1.08128   1.00000   1.99773   0.83083  -1.23632  -1.96386  -0.56347   1.44747   1.89000   0.28463  -1.62915  -1.77767   0.00000   1.77767   1.62915  -0.28463  -1.89000  -1.44747   0.56347   1.96386   1.23632  -0.83083  -1.99773  -1.00000   1.08128   1.99094   0.74332  -1.30972  -1.94362  -0.47152   1.51150   1.85674   0.19011  -1.68251  -1.73205   0.09516   1.81926   1.57211  -0.37850  -1.91899  -1.38016   0.65414   1.97964   1.16011  -0.91645  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E24      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   0.83083  -1.30972  -1.91899  -0.28463   1.68251   1.68251  -0.28463  -1.91899  -1.30972   0.83083   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E25      2.00000   0.74332  -1.44747  -1.81926   0.09516   1.89000   1.30972  -0.91645  -1.99094  -0.56347   1.57211   1.73205  -0.28463  -1.94362  -1.16011   1.08128   1.96386   0.37850  -1.68251  -1.62915   0.47152   1.97964   1.00000  -1.23632  -1.91899  -0.19011   1.77767   1.51150  -0.65414  -1.99773  -0.83083   1.38016   1.85674   0.00000  -1.85674  -1.38016   0.83083   1.99773   0.65414  -1.51150  -1.77767   0.19011   1.91899   1.23632  -1.00000  -1.97964  -0.47152   1.62915   1.68251  -0.37850  -1.96386  -1.08128   1.16011   1.94362   0.28463  -1.73205  -1.57211   0.56347   1.99094   0.91645  -1.30972  -1.89000  -0.09516   1.81926   1.44747  -0.74332  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E26      2.00000   0.65414  -1.57211  -1.68251   0.47152   1.99094   0.83083  -1.44747  -1.77767   0.28463   1.96386   1.00000  -1.30972  -1.85674   0.09516   1.91899   1.16011  -1.16011  -1.91899  -0.09516   1.85674   1.30972  -1.00000  -1.96386  -0.28463   1.77767   1.44747  -0.83083  -1.99094  -0.47152   1.68251   1.57211  -0.65414  -2.00000  -0.65414   1.57211   1.68251  -0.47152  -1.99094  -0.83083   1.44747   1.77767  -0.28463  -1.96386  -1.00000   1.30972   1.85674  -0.09516  -1.91899  -1.16011   1.16011   1.91899   0.09516  -1.85674  -1.30972   1.00000   1.96386   0.28463  -1.77767  -1.44747   0.83083   1.99094   0.47152  -1.68251  -1.57211   0.65414   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E27      2.00000   0.56347  -1.68251  -1.51150   0.83083   1.97964   0.28463  -1.81926  -1.30972   1.08128   1.91899   0.00000  -1.91899  -1.08128   1.30972   1.81926  -0.28463  -1.97964  -0.83083   1.51150   1.68251  -0.56347  -2.00000  -0.56347   1.68251   1.51150  -0.83083  -1.97964  -0.28463   1.81926   1.30972  -1.08128  -1.91899   0.00000   1.91899   1.08128  -1.30972  -1.81926   0.28463   1.97964   0.83083  -1.51150  -1.68251   0.56347   2.00000   0.56347  -1.68251  -1.51150   0.83083   1.97964   0.28463  -1.81926  -1.30972   1.08128   1.91899   0.00000  -1.91899  -1.08128   1.30972   1.81926  -0.28463  -1.97964  -0.83083   1.51150   1.68251  -0.56347  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E28      2.00000   0.47152  -1.77767  -1.30972   1.16011   1.85674  -0.28463  -1.99094  -0.65414   1.68251   1.44747  -1.00000  -1.91899   0.09516   1.96386   0.83083  -1.57211  -1.57211   0.83083   1.96386   0.09516  -1.91899  -1.00000   1.44747   1.68251  -0.65414  -1.99094  -0.28463   1.85674   1.16011  -1.30972  -1.77767   0.47152   2.00000   0.47152  -1.77767  -1.30972   1.16011   1.85674  -0.28463  -1.99094  -0.65414   1.68251   1.44747  -1.00000  -1.91899   0.09516   1.96386   0.83083  -1.57211  -1.57211   0.83083   1.96386   0.09516  -1.91899  -1.00000   1.44747   1.68251  -0.65414  -1.99094  -0.28463   1.85674   1.16011  -1.30972  -1.77767   0.47152   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E29      2.00000   0.37850  -1.85674  -1.08128   1.44747   1.62915  -0.83083  -1.94362   0.09516   1.97964   0.65414  -1.73205  -1.30972   1.23632   1.77767  -0.56347  -1.99094  -0.19011   1.91899   0.91645  -1.57211  -1.51150   1.00000   1.89000  -0.28463  -1.99773  -0.47152   1.81926   1.16011  -1.38016  -1.68251   0.74332   1.96386   0.00000  -1.96386  -0.74332   1.68251   1.38016  -1.16011  -1.81926   0.47152   1.99773   0.28463  -1.89000  -1.00000   1.51150   1.57211  -0.91645  -1.91899   0.19011   1.99094   0.56347  -1.77767  -1.23632   1.30972   1.73205  -0.65414  -1.97964  -0.09516   1.94362   0.83083  -1.62915  -1.44747   1.08128   1.85674  -0.37850  -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  -0.28463   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   0.19011  -1.96386  -0.56347   1.85674   0.91645  -1.68251  -1.23632   1.44747   1.51150  -1.16011  -1.73205   0.83083   1.89000  -0.47152  -1.97964   0.09516   1.99773   0.28463  -1.94362  -0.65414   1.81926   1.00000  -1.62915  -1.30972   1.38016   1.57211  -1.08128  -1.77767   0.74332   1.91899  -0.37850  -1.99094   0.00000   1.99094   0.37850  -1.91899  -0.74332   1.77767   1.08128  -1.57211  -1.38016   1.30972   1.62915  -1.00000  -1.81926   0.65414   1.94362  -0.28463  -1.99773  -0.09516   1.97964   0.47152  -1.89000  -0.83083   1.73205   1.16011  -1.51150  -1.44747   1.23632   1.68251  -0.91645  -1.85674   0.56347   1.96386  -0.19011  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E32      2.00000   0.09516  -1.99094  -0.28463   1.96386   0.47152  -1.91899  -0.65414   1.85674   0.83083  -1.77767  -1.00000   1.68251   1.16011  -1.57211  -1.30972   1.44747   1.44747  -1.30972  -1.57211   1.16011   1.68251  -1.00000  -1.77767   0.83083   1.85674  -0.65414  -1.91899   0.47152   1.96386  -0.28463  -1.99094   0.09516   2.00000   0.09516  -1.99094  -0.28463   1.96386   0.47152  -1.91899  -0.65414   1.85674   0.83083  -1.77767  -1.00000   1.68251   1.16011  -1.57211  -1.30972   1.44747   1.44747  -1.30972  -1.57211   1.16011   1.68251  -1.00000  -1.77767   0.83083   1.85674  -0.65414  -1.91899   0.47152   1.96386  -0.28463  -1.99094   0.09516   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E33      2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   2.00000   0.00000  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E34      2.00000  -0.09516  -1.99094   0.28463   1.96386  -0.47152  -1.91899   0.65414   1.85674  -0.83083  -1.77767   1.00000   1.68251  -1.16011  -1.57211   1.30972   1.44747  -1.44747  -1.30972   1.57211   1.16011  -1.68251  -1.00000   1.77767   0.83083  -1.85674  -0.65414   1.91899   0.47152  -1.96386  -0.28463   1.99094   0.09516  -2.00000   0.09516   1.99094  -0.28463  -1.96386   0.47152   1.91899  -0.65414  -1.85674   0.83083   1.77767  -1.00000  -1.68251   1.16011   1.57211  -1.30972  -1.44747   1.44747   1.30972  -1.57211  -1.16011   1.68251   1.00000  -1.77767  -0.83083   1.85674   0.65414  -1.91899  -0.47152   1.96386   0.28463  -1.99094  -0.09516   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E35      2.00000  -0.19011  -1.96386   0.56347   1.85674  -0.91645  -1.68251   1.23632   1.44747  -1.51150  -1.16011   1.73205   0.83083  -1.89000  -0.47152   1.97964   0.09516  -1.99773   0.28463   1.94362  -0.65414  -1.81926   1.00000   1.62915  -1.30972  -1.38016   1.57211   1.08128  -1.77767  -0.74332   1.91899   0.37850  -1.99094   0.00000   1.99094  -0.37850  -1.91899   0.74332   1.77767  -1.08128  -1.57211   1.38016   1.30972  -1.62915  -1.00000   1.81926   0.65414  -1.94362  -0.28463   1.99773  -0.09516  -1.97964   0.47152   1.89000  -0.83083  -1.73205   1.16011   1.51150  -1.44747  -1.23632   1.68251   0.91645  -1.85674  -0.56347   1.96386   0.19011  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E36      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  -0.28463  -1.91899   0.83083   1.68251  -1.30972  -1.30972   1.68251   0.83083  -1.91899  -0.28463   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E37      2.00000  -0.37850  -1.85674   1.08128   1.44747  -1.62915  -0.83083   1.94362   0.09516  -1.97964   0.65414   1.73205  -1.30972  -1.23632   1.77767   0.56347  -1.99094   0.19011   1.91899  -0.91645  -1.57211   1.51150   1.00000  -1.89000  -0.28463   1.99773  -0.47152  -1.81926   1.16011   1.38016  -1.68251  -0.74332   1.96386   0.00000  -1.96386   0.74332   1.68251  -1.38016  -1.16011   1.81926   0.47152  -1.99773   0.28463   1.89000  -1.00000  -1.51150   1.57211   0.91645  -1.91899  -0.19011   1.99094  -0.56347  -1.77767   1.23632   1.30972  -1.73205  -0.65414   1.97964  -0.09516  -1.94362   0.83083   1.62915  -1.44747  -1.08128   1.85674   0.37850  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E38      2.00000  -0.47152  -1.77767   1.30972   1.16011  -1.85674  -0.28463   1.99094  -0.65414  -1.68251   1.44747   1.00000  -1.91899  -0.09516   1.96386  -0.83083  -1.57211   1.57211   0.83083  -1.96386   0.09516   1.91899  -1.00000  -1.44747   1.68251   0.65414  -1.99094   0.28463   1.85674  -1.16011  -1.30972   1.77767   0.47152  -2.00000   0.47152   1.77767  -1.30972  -1.16011   1.85674   0.28463  -1.99094   0.65414   1.68251  -1.44747  -1.00000   1.91899   0.09516  -1.96386   0.83083   1.57211  -1.57211  -0.83083   1.96386  -0.09516  -1.91899   1.00000   1.44747  -1.68251  -0.65414   1.99094  -0.28463  -1.85674   1.16011   1.30972  -1.77767  -0.47152   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E39      2.00000  -0.56347  -1.68251   1.51150   0.83083  -1.97964   0.28463   1.81926  -1.30972  -1.08128   1.91899   0.00000  -1.91899   1.08128   1.30972  -1.81926  -0.28463   1.97964  -0.83083  -1.51150   1.68251   0.56347  -2.00000   0.56347   1.68251  -1.51150  -0.83083   1.97964  -0.28463  -1.81926   1.30972   1.08128  -1.91899   0.00000   1.91899  -1.08128  -1.30972   1.81926   0.28463  -1.97964   0.83083   1.51150  -1.68251  -0.56347   2.00000  -0.56347  -1.68251   1.51150   0.83083  -1.97964   0.28463   1.81926  -1.30972  -1.08128   1.91899   0.00000  -1.91899   1.08128   1.30972  -1.81926  -0.28463   1.97964  -0.83083  -1.51150   1.68251   0.56347  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E40      2.00000  -0.65414  -1.57211   1.68251   0.47152  -1.99094   0.83083   1.44747  -1.77767  -0.28463   1.96386  -1.00000  -1.30972   1.85674   0.09516  -1.91899   1.16011   1.16011  -1.91899   0.09516   1.85674  -1.30972  -1.00000   1.96386  -0.28463  -1.77767   1.44747   0.83083  -1.99094   0.47152   1.68251  -1.57211  -0.65414   2.00000  -0.65414  -1.57211   1.68251   0.47152  -1.99094   0.83083   1.44747  -1.77767  -0.28463   1.96386  -1.00000  -1.30972   1.85674   0.09516  -1.91899   1.16011   1.16011  -1.91899   0.09516   1.85674  -1.30972  -1.00000   1.96386  -0.28463  -1.77767   1.44747   0.83083  -1.99094   0.47152   1.68251  -1.57211  -0.65414   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E41      2.00000  -0.74332  -1.44747   1.81926   0.09516  -1.89000   1.30972   0.91645  -1.99094   0.56347   1.57211  -1.73205  -0.28463   1.94362  -1.16011  -1.08128   1.96386  -0.37850  -1.68251   1.62915   0.47152  -1.97964   1.00000   1.23632  -1.91899   0.19011   1.77767  -1.51150  -0.65414   1.99773  -0.83083  -1.38016   1.85674   0.00000  -1.85674   1.38016   0.83083  -1.99773   0.65414   1.51150  -1.77767  -0.19011   1.91899  -1.23632  -1.00000   1.97964  -0.47152  -1.62915   1.68251   0.37850  -1.96386   1.08128   1.16011  -1.94362   0.28463   1.73205  -1.57211  -0.56347   1.99094  -0.91645  -1.30972   1.89000  -0.09516  -1.81926   1.44747   0.74332  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E42      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   0.83083   1.30972  -1.91899   0.28463   1.68251  -1.68251  -0.28463   1.91899  -1.30972  -0.83083   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E43      2.00000  -0.91645  -1.16011   1.97964  -0.65414  -1.38016   1.91899  -0.37850  -1.57211   1.81926  -0.09516  -1.73205   1.68251   0.19011  -1.85674   1.51150   0.47152  -1.94362   1.30972   0.74332  -1.99094   1.08128   1.00000  -1.99773   0.83083   1.23632  -1.96386   0.56347   1.44747  -1.89000   0.28463   1.62915  -1.77767   0.00000   1.77767  -1.62915  -0.28463   1.89000  -1.44747  -0.56347   1.96386  -1.23632  -0.83083   1.99773  -1.00000  -1.08128   1.99094  -0.74332  -1.30972   1.94362  -0.47152  -1.51150   1.85674  -0.19011  -1.68251   1.73205   0.09516  -1.81926   1.57211   0.37850  -1.91899   1.38016   0.65414  -1.97964   1.16011   0.91645  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E44      2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000  -1.00000  -1.00000   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E45      2.00000  -1.08128  -0.83083   1.97964  -1.30972  -0.56347   1.91899  -1.51150  -0.28463   1.81926  -1.68251   0.00000   1.68251  -1.81926   0.28463   1.51150  -1.91899   0.56347   1.30972  -1.97964   0.83083   1.08128  -2.00000   1.08128   0.83083  -1.97964   1.30972   0.56347  -1.91899   1.51150   0.28463  -1.81926   1.68251   0.00000  -1.68251   1.81926  -0.28463  -1.51150   1.91899  -0.56347  -1.30972   1.97964  -0.83083  -1.08128   2.00000  -1.08128  -0.83083   1.97964  -1.30972  -0.56347   1.91899  -1.51150  -0.28463   1.81926  -1.68251   0.00000   1.68251  -1.81926   0.28463   1.51150  -1.91899   0.56347   1.30972  -1.97964   0.83083   1.08128  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E46      2.00000  -1.16011  -0.65414   1.91899  -1.57211  -0.09516   1.68251  -1.85674   0.47152   1.30972  -1.99094   1.00000   0.83083  -1.96386   1.44747   0.28463  -1.77767   1.77767  -0.28463  -1.44747   1.96386  -0.83083  -1.00000   1.99094  -1.30972  -0.47152   1.85674  -1.68251   0.09516   1.57211  -1.91899   0.65414   1.16011  -2.00000   1.16011   0.65414  -1.91899   1.57211   0.09516  -1.68251   1.85674  -0.47152  -1.30972   1.99094  -1.00000  -0.83083   1.96386  -1.44747  -0.28463   1.77767  -1.77767   0.28463   1.44747  -1.96386   0.83083   1.00000  -1.99094   1.30972   0.47152  -1.85674   1.68251  -0.09516  -1.57211   1.91899  -0.65414  -1.16011   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E47      2.00000  -1.23632  -0.47152   1.81926  -1.77767   0.37850   1.30972  -1.99773   1.16011   0.56347  -1.85674   1.73205  -0.28463  -1.38016   1.99094  -1.08128  -0.65414   1.89000  -1.68251   0.19011   1.44747  -1.97964   1.00000   0.74332  -1.91899   1.62915  -0.09516  -1.51150   1.96386  -0.91645  -0.83083   1.94362  -1.57211   0.00000   1.57211  -1.94362   0.83083   0.91645  -1.96386   1.51150   0.09516  -1.62915   1.91899  -0.74332  -1.00000   1.97964  -1.44747  -0.19011   1.68251  -1.89000   0.65414   1.08128  -1.99094   1.38016   0.28463  -1.73205   1.85674  -0.56347  -1.16011   1.99773  -1.30972  -0.37850   1.77767  -1.81926   0.47152   1.23632  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E48      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  -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     ... ... ..... ....... ......... ........... .............
E49      2.00000  -1.38016  -0.09516   1.51150  -1.99094   1.23632   0.28463  -1.62915   1.96386  -1.08128  -0.47152   1.73205  -1.91899   0.91645   0.65414  -1.81926   1.85674  -0.74332  -0.83083   1.89000  -1.77767   0.56347   1.00000  -1.94362   1.68251  -0.37850  -1.16011   1.97964  -1.57211   0.19011   1.30972  -1.99773   1.44747   0.00000  -1.44747   1.99773  -1.30972  -0.19011   1.57211  -1.97964   1.16011   0.37850  -1.68251   1.94362  -1.00000  -0.56347   1.77767  -1.89000   0.83083   0.74332  -1.85674   1.81926  -0.65414  -0.91645   1.91899  -1.73205   0.47152   1.08128  -1.96386   1.62915  -0.28463  -1.23632   1.99094  -1.51150   0.09516   1.38016  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E50      2.00000  -1.44747   0.09516   1.30972  -1.99094   1.57211  -0.28463  -1.16011   1.96386  -1.68251   0.47152   1.00000  -1.91899   1.77767  -0.65414  -0.83083   1.85674  -1.85674   0.83083   0.65414  -1.77767   1.91899  -1.00000  -0.47152   1.68251  -1.96386   1.16011   0.28463  -1.57211   1.99094  -1.30972  -0.09516   1.44747  -2.00000   1.44747  -0.09516  -1.30972   1.99094  -1.57211   0.28463   1.16011  -1.96386   1.68251  -0.47152  -1.00000   1.91899  -1.77767   0.65414   0.83083  -1.85674   1.85674  -0.83083  -0.65414   1.77767  -1.91899   1.00000   0.47152  -1.68251   1.96386  -1.16011  -0.28463   1.57211  -1.99094   1.30972   0.09516  -1.44747   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E51      2.00000  -1.51150   0.28463   1.08128  -1.91899   1.81926  -0.83083  -0.56347   1.68251  -1.97964   1.30972   0.00000  -1.30972   1.97964  -1.68251   0.56347   0.83083  -1.81926   1.91899  -1.08128  -0.28463   1.51150  -2.00000   1.51150  -0.28463  -1.08128   1.91899  -1.81926   0.83083   0.56347  -1.68251   1.97964  -1.30972   0.00000   1.30972  -1.97964   1.68251  -0.56347  -0.83083   1.81926  -1.91899   1.08128   0.28463  -1.51150   2.00000  -1.51150   0.28463   1.08128  -1.91899   1.81926  -0.83083  -0.56347   1.68251  -1.97964   1.30972   0.00000  -1.30972   1.97964  -1.68251   0.56347   0.83083  -1.81926   1.91899  -1.08128  -0.28463   1.51150  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E52      2.00000  -1.57211   0.47152   0.83083  -1.77767   1.96386  -1.30972   0.09516   1.16011  -1.91899   1.85674  -1.00000  -0.28463   1.44747  -1.99094   1.68251  -0.65414  -0.65414   1.68251  -1.99094   1.44747  -0.28463  -1.00000   1.85674  -1.91899   1.16011   0.09516  -1.30972   1.96386  -1.77767   0.83083   0.47152  -1.57211   2.00000  -1.57211   0.47152   0.83083  -1.77767   1.96386  -1.30972   0.09516   1.16011  -1.91899   1.85674  -1.00000  -0.28463   1.44747  -1.99094   1.68251  -0.65414  -0.65414   1.68251  -1.99094   1.44747  -0.28463  -1.00000   1.85674  -1.91899   1.16011   0.09516  -1.30972   1.96386  -1.77767   0.83083   0.47152  -1.57211   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E53      2.00000  -1.62915   0.65414   0.56347  -1.57211   1.99773  -1.68251   0.74332   0.47152  -1.51150   1.99094  -1.73205   0.83083   0.37850  -1.44747   1.97964  -1.77767   0.91645   0.28463  -1.38016   1.96386  -1.81926   1.00000   0.19011  -1.30972   1.94362  -1.85674   1.08128   0.09516  -1.23632   1.91899  -1.89000   1.16011   0.00000  -1.16011   1.89000  -1.91899   1.23632  -0.09516  -1.08128   1.85674  -1.94362   1.30972  -0.19011  -1.00000   1.81926  -1.96386   1.38016  -0.28463  -0.91645   1.77767  -1.97964   1.44747  -0.37850  -0.83083   1.73205  -1.99094   1.51150  -0.47152  -0.74332   1.68251  -1.99773   1.57211  -0.56347  -0.65414   1.62915  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E54      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   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     ... ... ..... ....... ......... ........... .............
E55      2.00000  -1.73205   1.00000   0.00000  -1.00000   1.73205  -2.00000   1.73205  -1.00000   0.00000   1.00000  -1.73205   2.00000  -1.73205   1.00000   0.00000  -1.00000   1.73205  -2.00000   1.73205  -1.00000   0.00000   1.00000  -1.73205   2.00000  -1.73205   1.00000   0.00000  -1.00000   1.73205  -2.00000   1.73205  -1.00000   0.00000   1.00000  -1.73205   2.00000  -1.73205   1.00000   0.00000  -1.00000   1.73205  -2.00000   1.73205  -1.00000   0.00000   1.00000  -1.73205   2.00000  -1.73205   1.00000   0.00000  -1.00000   1.73205  -2.00000   1.73205  -1.00000   0.00000   1.00000  -1.73205   2.00000  -1.73205   1.00000   0.00000  -1.00000   1.73205  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E56      2.00000  -1.77767   1.16011  -0.28463  -0.65414   1.44747  -1.91899   1.96386  -1.57211   0.83083   0.09516  -1.00000   1.68251  -1.99094   1.85674  -1.30972   0.47152   0.47152  -1.30972   1.85674  -1.99094   1.68251  -1.00000   0.09516   0.83083  -1.57211   1.96386  -1.91899   1.44747  -0.65414  -0.28463   1.16011  -1.77767   2.00000  -1.77767   1.16011  -0.28463  -0.65414   1.44747  -1.91899   1.96386  -1.57211   0.83083   0.09516  -1.00000   1.68251  -1.99094   1.85674  -1.30972   0.47152   0.47152  -1.30972   1.85674  -1.99094   1.68251  -1.00000   0.09516   0.83083  -1.57211   1.96386  -1.91899   1.44747  -0.65414  -0.28463   1.16011  -1.77767   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E57      2.00000  -1.81926   1.30972  -0.56347  -0.28463   1.08128  -1.68251   1.97964  -1.91899   1.51150  -0.83083   0.00000   0.83083  -1.51150   1.91899  -1.97964   1.68251  -1.08128   0.28463   0.56347  -1.30972   1.81926  -2.00000   1.81926  -1.30972   0.56347   0.28463  -1.08128   1.68251  -1.97964   1.91899  -1.51150   0.83083   0.00000  -0.83083   1.51150  -1.91899   1.97964  -1.68251   1.08128  -0.28463  -0.56347   1.30972  -1.81926   2.00000  -1.81926   1.30972  -0.56347  -0.28463   1.08128  -1.68251   1.97964  -1.91899   1.51150  -0.83083   0.00000   0.83083  -1.51150   1.91899  -1.97964   1.68251  -1.08128   0.28463   0.56347  -1.30972   1.81926  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E58      2.00000  -1.85674   1.44747  -0.83083   0.09516   0.65414  -1.30972   1.77767  -1.99094   1.91899  -1.57211   1.00000  -0.28463  -0.47152   1.16011  -1.68251   1.96386  -1.96386   1.68251  -1.16011   0.47152   0.28463  -1.00000   1.57211  -1.91899   1.99094  -1.77767   1.30972  -0.65414  -0.09516   0.83083  -1.44747   1.85674  -2.00000   1.85674  -1.44747   0.83083  -0.09516  -0.65414   1.30972  -1.77767   1.99094  -1.91899   1.57211  -1.00000   0.28463   0.47152  -1.16011   1.68251  -1.96386   1.96386  -1.68251   1.16011  -0.47152  -0.28463   1.00000  -1.57211   1.91899  -1.99094   1.77767  -1.30972   0.65414   0.09516  -0.83083   1.44747  -1.85674   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E59      2.00000  -1.89000   1.57211  -1.08128   0.47152   0.19011  -0.83083   1.38016  -1.77767   1.97964  -1.96386   1.73205  -1.30972   0.74332  -0.09516  -0.56347   1.16011  -1.62915   1.91899  -1.99773   1.85674  -1.51150   1.00000  -0.37850  -0.28463   0.91645  -1.44747   1.81926  -1.99094   1.94362  -1.68251   1.23632  -0.65414   0.00000   0.65414  -1.23632   1.68251  -1.94362   1.99094  -1.81926   1.44747  -0.91645   0.28463   0.37850  -1.00000   1.51150  -1.85674   1.99773  -1.91899   1.62915  -1.16011   0.56347   0.09516  -0.74332   1.30972  -1.73205   1.96386  -1.97964   1.77767  -1.38016   0.83083  -0.19011  -0.47152   1.08128  -1.57211   1.89000  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... .............
E60      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  -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     ... ... ..... ....... ......... ........... .............
E61      2.00000  -1.94362   1.77767  -1.51150   1.16011  -0.74332   0.28463   0.19011  -0.65414   1.08128  -1.44747   1.73205  -1.91899   1.99773  -1.96386   1.81926  -1.57211   1.23632  -0.83083   0.37850   0.09516  -0.56347   1.00000  -1.38016   1.68251  -1.89000   1.99094  -1.97964   1.85674  -1.62915   1.30972  -0.91645   0.47152   0.00000  -0.47152   0.91645  -1.30972   1.62915  -1.85674   1.97964  -1.99094   1.89000  -1.68251   1.38016  -1.00000   0.56347  -0.09516  -0.37850   0.83083  -1.23632   1.57211  -1.81926   1.96386  -1.99773   1.91899  -1.73205   1.44747  -1.08128   0.65414  -0.19011  -0.28463   0.74332  -1.16011   1.51150  -1.77767   1.94362  -2.00000   0.00000   0.00000     ... ... ..... ....... ......... ........... ..TT.........
E62      2.00000  -1.96386   1.85674  -1.68251   1.44747  -1.16011   0.83083  -0.47152   0.09516   0.28463  -0.65414   1.00000  -1.30972   1.57211  -1.77767   1.91899  -1.99094   1.99094  -1.91899   1.77767  -1.57211   1.30972  -1.00000   0.65414  -0.28463  -0.09516   0.47152  -0.83083   1.16011  -1.44747   1.68251  -1.85674   1.96386  -2.00000   1.96386  -1.85674   1.68251  -1.44747   1.16011  -0.83083   0.47152  -0.09516  -0.28463   0.65414  -1.00000   1.30972  -1.57211   1.77767  -1.91899   1.99094  -1.99094   1.91899  -1.77767   1.57211  -1.30972   1.00000  -0.65414   0.28463   0.09516  -0.47152   0.83083  -1.16011   1.44747  -1.68251   1.85674  -1.96386   2.00000   0.00000   0.00000     ... ... ..... ....... ......... ..TT....... .............
E63      2.00000  -1.97964   1.91899  -1.81926   1.68251  -1.51150   1.30972  -1.08128   0.83083  -0.56347   0.28463   0.00000  -0.28463   0.56347  -0.83083   1.08128  -1.30972   1.51150  -1.68251   1.81926  -1.91899   1.97964  -2.00000   1.97964  -1.91899   1.81926  -1.68251   1.51150  -1.30972   1.08128  -0.83083   0.56347  -0.28463   0.00000   0.28463  -0.56347   0.83083  -1.08128   1.30972  -1.51150   1.68251  -1.81926   1.91899  -1.97964   2.00000  -1.97964   1.91899  -1.81926   1.68251  -1.51150   1.30972  -1.08128   0.83083  -0.56347   0.28463   0.00000  -0.28463   0.56347  -0.83083   1.08128  -1.30972   1.51150  -1.68251   1.81926  -1.91899   1.97964  -2.00000   0.00000   0.00000     ... ... ..... ....... ..TT..... ........... ......TT.....
E64      2.00000  -1.99094   1.96386  -1.91899   1.85674  -1.77767   1.68251  -1.57211   1.44747  -1.30972   1.16011  -1.00000   0.83083  -0.65414   0.47152  -0.28463   0.09516   0.09516  -0.28463   0.47152  -0.65414   0.83083  -1.00000   1.16011  -1.30972   1.44747  -1.57211   1.68251  -1.77767   1.85674  -1.91899   1.96386  -1.99094   2.00000  -1.99094   1.96386  -1.91899   1.85674  -1.77767   1.68251  -1.57211   1.44747  -1.30972   1.16011  -1.00000   0.83083  -0.65414   0.47152  -0.28463   0.09516   0.09516  -0.28463   0.47152  -0.65414   0.83083  -1.00000   1.16011  -1.30972   1.44747  -1.57211   1.68251  -1.77767   1.85674  -1.91899   1.96386  -1.99094   2.00000   0.00000   0.00000     ... ... ..... ..TT... ......... ......TT... .............
E65      2.00000  -1.99773   1.99094  -1.97964   1.96386  -1.94362   1.91899  -1.89000   1.85674  -1.81926   1.77767  -1.73205   1.68251  -1.62915   1.57211  -1.51150   1.44747  -1.38016   1.30972  -1.23632   1.16011  -1.08128   1.00000  -0.91645   0.83083  -0.74332   0.65414  -0.56347   0.47152  -0.37850   0.28463  -0.19011   0.09516   0.00000  -0.09516   0.19011  -0.28463   0.37850  -0.47152   0.56347  -0.65414   0.74332  -0.83083   0.91645  -1.00000   1.08128  -1.16011   1.23632  -1.30972   1.38016  -1.44747   1.51150  -1.57211   1.62915  -1.68251   1.73205  -1.77767   1.81926  -1.85674   1.89000  -1.91899   1.94362  -1.96386   1.97964  -1.99094   1.99773  -2.00000   0.00000   0.00000     TT. ... ..TT. ....... ......TT. ........... ..........TT.

 Irrational character values:  1.997734678366 = 2*cos(2*π/132) = 2*cos(π/66)
                               1.990943845146 = 2*cos(4*π/132) = 2*cos(π/33)
                               1.979642883762 = 2*cos(6*π/132) = 2*cos(π/22)
                               1.963857394525 = 2*cos(8*π/132) = 2*cos(2*π/33)
                               1.943623136647 = 2*cos(10*π/132) = 2*cos(5*π/66)
                               1.918985947229 = 2*cos(12*π/132) = 2*cos(π/11)
                               1.890001637429 = 2*cos(14*π/132) = 2*cos(7*π/66)
                               1.856735866032 = 2*cos(16*π/132) = 2*cos(4*π/33)
                               1.819263990709 = 2*cos(18*π/132) = 2*cos(3*π/22)
                               1.777670897310 = 2*cos(20*π/132) = 2*cos(5*π/33)
                               1.732050807569 = 2*cos(22*π/132) = 2*cos(π/6) = √3
                               1.682507065662 = 2*cos(24*π/132) = 2*cos(2*π/11)
                               1.629151904101 = 2*cos(26*π/132) = 2*cos(13*π/66)
                               1.572106189486 = 2*cos(28*π/132) = 2*cos(7*π/33)
                               1.511499148709 = 2*cos(30*π/132) = 2*cos(5*π/22)
                               1.447468076210 = 2*cos(32*π/132) = 2*cos(8*π/33)
                               1.380158022964 = 2*cos(34*π/132) = 2*cos(17*π/66)
                               1.309721467891 = 2*cos(36*π/132) = 2*cos(3*π/11)
                               1.236317972441 = 2*cos(38*π/132) = 2*cos(19*π/66)
                               1.160113819142 = 2*cos(40*π/132) = 2*cos(10*π/33)
                               1.081281634911 = 2*cos(42*π/132) = 2*cos(7*π/22)
                               0.916453043455 = 2*cos(46*π/132) = 2*cos(23*π/66)
                               0.830830026004 = 2*cos(48*π/132) = 2*cos(4*π/11)
                               0.743324911321 = 2*cos(50*π/132) = 2*cos(25*π/66)
                               0.654135926635 = 2*cos(52*π/132) = 2*cos(13*π/33)
                               0.563465113683 = 2*cos(54*π/132) = 2*cos(9*π/22)
                               0.471517871019 = 2*cos(56*π/132) = 2*cos(14*π/33)
                               0.378502488721 = 2*cos(58*π/132) = 2*cos(29*π/66)
                               0.284629676547 = 2*cos(60*π/132) = 2*cos(5*π/11)
                               0.190112086608 = 2*cos(62*π/132) = 2*cos(31*π/66)
                               0.095163831647 = 2*cos(64*π/132) = 2*cos(16*π/33)



 Symmetry of Rotations and Cartesian products

A1   d+g+i+k+m    z2, z4, z6 
A2   R            Rz 
B2   p+f+h+j+l    z, z3, z5 
E1   p+f+h+j+l    {x, y}, {xz2, yz2}, {xz4, yz4} 
E2   d+g+i+k+m    {x2y2, xy}, {z2(x2y2), xyz2}, {z4(x2y2), xyz4} 
E3   f+h+j+l      {x(x2−3y2), y(3x2y2)}, {xz2(x2−3y2), yz2(3x2y2)} 
E4   g+i+k+m      {(x2y2)2−4x2y2, xy(x2y2)}, {z2((x2y2)2−4x2y2), xyz2(x2y2)} 
E5   h+j+l        {x(x2−(5+2√5)y2)(x2−(5−2√5)y2), y((5+2√5)x2y2)((5−2√5)x2y2)} 
E6   i+k+m        {x2(x2−3y2)2y2(3x2y2)2, xy(x2−3y2)(3x2y2)} 
E7   j+l 
E8   k+m 
E9   l 
E10  m 
E57  m 
E58  l 
E59  k+m 
E60  j+l 
E61  i+k+m        {xz(x2−(5+2√5)y2)(x2−(5−2√5)y2), yz((5+2√5)x2y2)((5−2√5)x2y2)} 
E62  h+j+l        {z((x2y2)2−4x2y2), xyz(x2y2)} 
E63  g+i+k+m      {xz(x2−3y2), yz(3x2y2)}, {xz3(x2−3y2), yz3(3x2y2)} 
E64  f+h+j+l      {z(x2y2), xyz}, {z3(x2y2), xyz3} 
E65  R+d+g+i+k+m  {Rx, Ry}, {xz, yz}, {xz3, yz3}, {xz5, yz5} 

 Notes:

    α  The order of the D66d point group is 264, and the order of the principal axis (S132) is 132. The group has 69 irreducible representations.

    β  The D66d point group is isomorphic to C132v and D132.

    γ  The D66d point group is generated by two symmetry elements, S132 and either a perpendicular C2 or a vertical σd.
       Also, the group may be generated from a C2 plus a σd (some pairs will yield smaller groups, though; choosing a minimum angle is safe).

    δ  The group contains one set of twofold symmetry axes (C2) perpendicular to the principal (z) axis. Both x and y axes are members of that set.

    ε  The single σd set of symmetry planes contains neither the xz nor the yz planes; but it contains the median plane (x+y)z.

    ζ  The lowest nonvanishing multipole moment in D66d is 4 (quadrupole moment).

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

    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 D66d point group was created by Gernot Katzer.

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