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Decomposition of \( S_{6}^{\mathrm{new}}(4) \) into irreducible Hecke orbits

magma: S := CuspForms(4,6);
magma: N := Newforms(S);
sage: N = Newforms(4,6,names="a")
Label Dimension Field $q$-expansion of eigenform
4.6.1.a 1 \(\Q\) \(q \) \(\mathstrut-\) \(12q^{3} \) \(\mathstrut+\) \(54q^{5} \) \(\mathstrut-\) \(88q^{7} \) \(\mathstrut-\) \(99q^{9} \) \(\mathstrut+O(q^{10}) \)