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randomArrangement -- generate an arrangement at random

Synopsis

Description

As N increases, the random arrangement is a generic arrangement with probability tending to 1.
i1 : randomArrangement(4,3,5)

o1 = {- 4x  - 2x  + 4x , - x  + 4x  + 3x , 5x  + 4x  - 2x , - 4x  - 4x }
          1     2     3     1     2     3    1     2     3      2     3

o1 : Hyperplane Arrangement 
i2 : tally apply(12, i -> poincare randomArrangement(6,3,5))

                       2      3
o2 = Tally{1 + 6T + 15T  + 10T  => 8}
                       2     3
           1 + 6T + 14T  + 9T  => 4

o2 : Tally

Ways to use randomArrangement :