map length (tiers :: [[ Int3 ]])  =  [1,1,1,1,1,1,1,1]

length (list :: [ Int3 ])  =  8

allUnique (list :: [ Int3 ])  =  True

ratioRepetitions (list :: [ Int3 ])  =  0 % 1

tiers :: [Int3]  =
  [ [0]
  , [1]
  , [-1]
  , [2]
  , [-2]
  , [3]
  , [-3]
  , [-4]
  ]