root system   reduced mass          #
-------------------------------------
empty         1/8315553613086720000 1
24A1          1/244823040           1
12A2          1/190080              1
8A3           1/2688                1
6A4           1/240                 1
4A6           1/24                  1
3A8           1/12                  1
2A12          1/4                   1
A24           1/2                   1
6D4           1/2160                1
4D6           1/24                  1
3D8           1/6                   1
2D12          1/2                   1
D24           1                     1
4E6           1/48                  1
3E8           1/6                   1
4A5 D4        1/48                  1
2A7 2D5       1/8                   1
2A9 D6        1/4                   1
A15 D9        1/2                   1
A17 E7        1/2                   1
D10 2E7       1/2                   1
D16 E8        1                     1
A11 D7 E6     1/2                   1