When the first argument is an integer, then the dimensions up to that degree are given. When the first argument is a list, then the dimension in that specific multidegree is given. Observe that if the Lie algebra has no differential, then an extra homological degree=0 is added to the given weights of the generators.
i1 : L = lieAlgebra({a,b,c},{[c,a]},genSigns=>{1,0,1},genWeights=>{{1,0},{1,0},{1,2}})
o1 = L
o1 : LieAlgebra
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i2 : computeLie 5
o2 = {3, 4, 5, 12, 24}
o2 : List
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i3 : d=defLie(mb_{4,5}+2*mb_{4,6})
o3 = {{1, 2}, {[c, b, b, a], [b, c, b, a]}}
o3 : List
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i4 : idealLie(5,{[a,a],d})
o4 = {0, 1, 1, 4, 11}
o4 : List
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i5 : idealLie({5,4,0},{[a,a],d})
o5 = 2
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Below is shown a way to construct the quotient Lie algebra Q=L/I, where I is the ideal generated by [a,a] and d defined above.
i6 : Q=lieAlgebra({a,b,c},{[c,a],[a,a],d},genSigns=>{1,0,1},genWeights=>{{1,0},{1,0},{1,2}})
o6 = Q
o6 : LieAlgebra
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i7 : computeLie 5
o7 = {3, 3, 4, 8, 13}
o7 : List
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