## Decomposition of \( S_{4}^{\mathrm{new}}(9) \) into irreducible Hecke orbits

magma: S := CuspForms(9,4);

magma: N := Newforms(S);

magma: N := Newforms(S);

sage: N = Newforms(9,4,names="a")

Label | Dimension | Field | $q$-expansion of eigenform |
---|---|---|---|

9.4.1.a | 1 | \(\Q\) | \(q \) \(\mathstrut-\) \(8q^{4} \) \(\mathstrut+\) \(20q^{7} \) \(\mathstrut+O(q^{10}) \) |