S_{4}^{10}
(An explanation of this table appears at the bottom of this page.)
ell m11m22m33m44m12m13m23m14m24m34 cusp:term terms dimM_{1}^{40}(ell) #rels
2 2 2 2 2 0 0 0 1 1 1 1/0: q^{7/1} 16 11 2
1/1: q^{7/2}
6 2 2 2 4 1 1 0 1 0 0 1/0: q^{9/1} 49 41 8
1/1: q^{13/6}
1/2: q^{15/3}
1/3: q^{8/2}
NUMBER OF RESTRICTION MAPS: 2 TOTAL RELS: 10
Total relations: 10.
Total independent relations: 9.
Because the net set of coefficients has size 10,
this implies S_{4}^{10} has dimension at most 109=1.
Since S_{4}^{10} contains G_{10}, we conclude
dim S_{4}^{10} = 1.
 ell: This is the level.
 The next 10 numbers give the entries of the matrix.
 The cusps (of G_{0}(ell))
are listed vertically in form a/c.
To the right of each of these is the maximum term kept in the corresponding
cusp expansion.
For example, q^{15/3} would indicate that
the expansion is in powers of q^{1/3},
and that we keep the first 16 terms (q^{0/3} through q^{15/3}).
 The number under "terms" is the total number of terms kept
over the various cusps.
 The next entry is dim M_{1}^{40}(G_{0}(ell)).

The number under "rels" is the number of relations (on the net set) obtained from
this particular restriction map.
The number is usually the difference between the "terms" and "dim"
unless the matrix has some "selfsimilarity" in the sense that the matrix
boxoperation with a cusp yields something that is a multiple of the original matrix.