Lists of representations

The degree of a representation is also known as the dimension. The level of the congruent representation determined by the pair (S,T) is equal to the order of T.

We assign to each representation a name according to the conventions of .
Lists by degree a list of records of the form `rec(S, T, degree, level, name)`. Constructs a list of all irreps of \mathrm{SL}_2(\mathbb{Z}) that have the given degree. a list of records of the form `rec(S, T, degree, level, name)`. Constructs a list of all irreps of \mathrm{SL}_2(\mathbb{Z}) that have at most the given maximum degree.
Lists by level a list of records of the form `rec(S, T, degree, level, name)`. Constructs a list of all irreps of \mathrm{SL}_2(\mathbb{Z}) with the given level.
Lists of exceptional representations a list of records of the form `rec(S, T, degree, level, name)`. Constructs a list of the 18 exceptional irreps of \mathrm{SL}_2(\mathbb{Z}).