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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 5 13 31
4030.2.a.p \(9\) \(32.180\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-9\) \(-3\) \(-9\) \(-3\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
4030.2.a.q \(9\) \(32.180\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(9\) \(3\) \(-9\) \(3\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
4030.2.a.r \(9\) \(32.180\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(9\) \(3\) \(9\) \(9\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}-\beta _{2}q^{3}+q^{4}+q^{5}-\beta _{2}q^{6}+\cdots\)


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