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## Decomposition of $S_{12}^{\mathrm{new}}(1)$ into irreducible Hecke orbits

magma: S := CuspForms(1,12);
magma: N := Newforms(S);
sage: N = Newforms(1,12,names="a")
Label Dimension Field $q$-expansion of eigenform
1.12.1.a 1 $\Q$ $q$ $\mathstrut-$ $24q^{2}$ $\mathstrut+$ $252q^{3}$ $\mathstrut-$ $1472q^{4}$ $\mathstrut+$ $4830q^{5}$ $\mathstrut-$ $6048q^{6}$ $\mathstrut-$ $16744q^{7}$ $\mathstrut+$ $84480q^{8}$ $\mathstrut-$ $113643q^{9}$ $\mathstrut+O(q^{10})$