orders:=
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  46656, 209952, 52488, 52488, 11664, 1944, 34992, 2916, 23328, 3888, 2592, 432, 1944, 648, 11664, 1944, 648, 216, 972, 324, 
  7776, 2592, 864, 288, 1296, 432, 17496, 17496, 7776, 1944, 11664, 3888, 1296, 864, 432, 216, 648, 1296, 216, 216, 216, 216, 
  108, 324, 2592, 864, 288, 288, 288, 288, 144, 432, 23328, 23328, 648, 19440, 1296, 15552, 2592, 2592, 288, 432, 72, 1296, 
  432, 1296, 216, 864, 288, 216, 72, 1296, 432, 7776, 7776, 2592, 648, 2592, 864, 432, 72, 144, 108, 432, 216, 144, 144, 72, 
  72, 72, 72, 108, 19440, 19440, 432, 25920, 4320, 432, 48, 432, 72, 6480, 6480, 1728, 432, 4320, 1440, 144, 144, 48, 38880, 
  38880, 720, 12960, 12960, 2880, 720, 209952, 34992, 349920, 2916, 11664, 11664, 972, 3888, 7776, 648, 2592, 12960, 1080, 
  4320, 11664, 7776, 11664, 1944, 1458, 2592, 432, 216, 432, 432, 108, 1296, 432, 108, 108, 216, 216, 54, 1728, 576, 144, 144, 
  288, 288, 72, 8748, 8748, 1296, 1296, 324, 108, 108, 324, 972, 108, 324, 324, 162, 54, 54, 162, 1296, 144, 432, 432, 216, 72, 
  72, 216, 34992, 972, 144, 108, 324, 34992, 648, 972, 144, 108, 324, 1944, 1296, 162, 108, 144, 72, 72, 36, 36, 36, 36, 36, 
  108, 18, 18, 432, 216, 108, 72, 72, 72, 72, 36, 36, 36, 36, 36, 36, 36, 108, 18, 18, 2916, 1944, 216, 72, 108, 54, 18, 54, 
  162, 648, 648, 108, 36, 36, 36, 108, 36, 108, 108, 54, 18, 54, 162, 11664, 9720, 216, 324, 2592, 96, 144, 432, 24, 36, 1296, 
  144, 216, 1296, 54, 144, 144, 48, 24, 24, 48, 12, 12, 12, 24, 12, 36, 12, 1944, 216, 36, 24, 72, 54, 18, 19440, 2160, 3240, 
  87480, 174960, 432, 6480, 648, 216, 3240, 12960, 864, 288, 4320, 7776, 9072, 216, 1296, 324, 3456, 144, 288, 36, 144, 432, 
  72, 72, 432, 108, 144, 864, 144, 144, 36, 144, 432, 72, 72, 432, 108, 1296, 108, 432, 72, 36, 72, 72, 36, 18, 18, 18, 18, 36, 
  36, 18, 72, 72, 144, 36, 36, 36, 36, 36, 36, 36, 36, 18, 18, 18, 18, 36, 36, 18, 3888, 864, 864, 18, 72, 18, 72, 216, 108, 
  144, 36, 432, 432, 216, 18, 72, 18, 72, 216, 1944, 54, 18, 144, 48, 48, 48, 72, 24, 24, 24, 12, 12, 12, 12, 36, 12, 1296, 
  108, 9, 72, 384, 24, 24, 96, 24, 96, 12, 12, 48, 48, 12, 48, 48, 48, 12, 12, 144, 24, 6, 24, 324, 27, 36, 24, 48, 24, 24, 12, 
  12, 12, 12, 12, 12, 24, 12, 12, 24, 12, 24, 12, 12, 12, 12, 36, 6, 6, 6, 6, 6, 6, 6, 6, 1944, 2592, 288, 96, 144, 72, 6, 24, 
  18, 72, 216, 31104, 864, 1296, 12, 9, 72, 12, 648, 18, 54, 216, 576, 48, 72, 48, 24, 24, 24, 12, 12, 12, 12, 12, 18, 6, 6, 6, 
  6, 18, 36, 12, 18, 18, 648, 432, 24, 24, 24, 6, 12, 6, 12, 12, 12, 6, 12, 6, 12, 12, 1296, 6, 6, 648, 9, 18, 3, 18, 216, 6, 
  9, 6, 324, 72, 1728, 18, 648, 432, 162 ];