orders:=
[ 4723920, 209952, 52488, 23328, 19440, 38880, 104976, 34992, 5832, 5832, 139968, 17496, 5832, 5832, 3888, 23328, 1296, 3888, 
  1944, 1944, 864, 216, 216, 324, 1296, 648, 216, 72, 144, 72, 36, 108, 648, 432, 72, 72, 72, 72, 36, 108, 3888, 3888, 108, 
  432, 324, 3240, 216, 5184, 864, 216, 864, 96, 144, 24, 432, 144, 1296, 1296, 432, 108, 108, 864, 288, 72, 144, 24, 48, 36, 
  6480, 6480, 144, 324, 2160, 2160, 576, 144, 108, 17496, 2916, 29160, 3888, 324, 1296, 1944, 162, 648, 2592, 216, 864, 1296, 
  864, 1296, 216, 162, 432, 72, 36, 72, 72, 18, 432, 144, 36, 36, 72, 72, 18, 972, 972, 216, 216, 54, 18, 18, 54, 324, 36, 108, 
  108, 54, 18, 18, 54, 5832, 648, 162, 3888, 48, 36, 108, 324, 216, 27, 18, 48, 24, 24, 12, 12, 12, 12, 12, 36, 6, 6, 486, 324, 
  72, 24, 36, 18, 6, 18, 54, 3888, 3240, 72, 108, 432, 18, 648, 9720, 19440, 72, 1080, 216, 72, 1080, 1296, 1512, 36, 216, 54, 
  1152, 48, 96, 12, 48, 144, 24, 24, 144, 36, 216, 18, 144, 24, 12, 24, 24, 12, 6, 6, 6, 6, 12, 12, 6, 648, 288, 288, 6, 24, 6, 
  24, 72, 648, 18, 6, 432, 36, 3, 24, 108, 9, 12, 648, 864, 216, 6, 18, 72, 216 ];