homologyBasisLie -- computes a basis for the homology of a given degree

i1 : L=lieAlgebra({a,b,c,r3,r4,r42},{{{1,-1},{[b,c],[a,c]}},[a,b],
             {{1,-1},{[b,r4],[a,r4]}}},
         genWeights => {{1,0},{1,0},{2,0},{3,1},{4,1},{4,2}},
         genDiffs=>{[],[],[],{{-1},{[a,c]}},
             [a,a,c],{{1,1},{[r4],[a,r3]}}},genSigns=>{0,0,0,1,1,0})

o1 = L

o1 : LieAlgebra

i2 : homologyLie 5

o2 = | 2 1 0 0 0 |
     | 0 0 0 1 1 |
     | 0 0 0 0 0 |
     | 0 0 0 0 0 |
     | 0 0 0 0 0 |

              5        5
o2 : Matrix ZZ  <--- ZZ

i3 : homologyBasisLie(5,1)

o3 = {{{1, -1}, {[b, a, r3], [b, b, r3]}}}

o3 : List