dimtotLie -- the total dimension up to degree d

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 : dimTableLie 6

o2 = | 2 1 1 1 2 2 |
     | 0 0 1 3 5 9 |
     | 0 0 0 1 2 5 |
     | 0 0 0 0 0 0 |
     | 0 0 0 0 0 0 |
     | 0 0 0 0 0 0 |
     | 0 0 0 0 0 0 |

              7        6
o2 : Matrix ZZ  <--- ZZ

i3 : dimtotLie 6

o3 = 35