orders:=
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  1049760, 839808, 279936, 349920, 116640, 233280, 77760, 272160, 90720, 725760, 241920, 18895680, 699840, 524880, 1259712, 
  69984, 104976, 209952, 23328, 34992, 116640, 12960, 19440, 116640, 12960, 19440, 272160, 30240, 45360, 5248800, 279936, 
  46656, 139968, 34992, 23328, 5832, 34992, 186624, 7776, 10368, 2592, 15552, 77760, 6480, 8640, 2160, 12960, 155520, 12960, 
  17280, 4320, 25920, 11664, 11664, 7776, 3888, 1296, 1944, 10368, 2592, 1296, 864, 1296, 259200, 8640, 4320, 2160, 1440, 2160, 
  10368, 2592, 11664, 648, 1944, 1296, 432, 6912, 3456, 5184, 864, 864, 1296, 1728, 576, 1728, 1944, 864, 432, 432, 5760 ];