-- -*- M2-comint -*- {* hash: 1947769501 *}

i1 : randomArrangement(4,3,5)

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

o1 : Hyperplane Arrangement 

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

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

o2 : Tally

i3 :