orders:=
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  793618560, 132269760, 56687040, 18895680, 12597120, 4199040, 4199040, 1399680, 2099520, 699840, 1632960, 544320, 2177280, 
  725760, 6531840, 2177280, 396809280, 12597120, 9447840, 18895680, 1049760, 1574640, 2519424, 279936, 419904, 1049760, 116640, 
  174960, 699840, 77760, 116640, 816480, 90720, 136080, 2177280, 241920, 362880, 94478400, 4199040, 699840, 2099520, 419904, 
  279936, 69984, 419904, 1679616, 69984, 93312, 23328, 139968, 466560, 38880, 51840, 12960, 77760, 466560, 38880, 51840, 12960, 
  77760, 1088640, 90720, 120960, 30240, 181440, 139968, 139968, 69984, 34992, 11664, 17496, 62208, 15552, 7776, 5184, 7776, 
  777600, 25920, 12960, 6480, 4320, 6480, 777600, 51840, 25920, 12960, 8640, 12960, 93312, 23328, 69984, 3888, 11664, 7776, 
  2592, 20736, 10368, 15552, 2592, 2592, 3888, 5184, 1728, 86400, 17280, 8640, 25920, 4320, 4320, 6480, 8640, 2880, 10368, 
  5832, 2592, 1296, 1296, 20736, 3456, 10368, 2592, 1728, 864, 1728, 17280, 3888, 3888, 864, 3456 ];