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Decomposition of \( S_{8}^{\mathrm{new}}(24) \) into irreducible Hecke orbits

magma: S := CuspForms(24,8);
magma: N := Newforms(S);
sage: N = Newforms(24,8,names="a")
Label Dimension Field $q$-expansion of eigenform
24.8.1.a 1 \(\Q\) \(q \) \(\mathstrut-\) \(27q^{3} \) \(\mathstrut-\) \(26q^{5} \) \(\mathstrut+\) \(1056q^{7} \) \(\mathstrut+\) \(729q^{9} \) \(\mathstrut+O(q^{10}) \)
24.8.1.b 1 \(\Q\) \(q \) \(\mathstrut+\) \(27q^{3} \) \(\mathstrut-\) \(530q^{5} \) \(\mathstrut+\) \(120q^{7} \) \(\mathstrut+\) \(729q^{9} \) \(\mathstrut+O(q^{10}) \)
24.8.1.c 1 \(\Q\) \(q \) \(\mathstrut+\) \(27q^{3} \) \(\mathstrut+\) \(110q^{5} \) \(\mathstrut+\) \(504q^{7} \) \(\mathstrut+\) \(729q^{9} \) \(\mathstrut+O(q^{10}) \)