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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 3 5 89
4005.2.a.m \(4\) \(31.980\) 4.4.2777.1 None \(0\) \(0\) \(4\) \(-7\) \(-\) \(-\) \(+\) \(q-\beta _{2}q^{2}+(1-\beta _{3})q^{4}+q^{5}+(-2+\beta _{1}+\cdots)q^{7}+\cdots\)
4005.2.a.p \(8\) \(31.980\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-1\) \(0\) \(8\) \(-6\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}+(1-\beta _{1}-\beta _{3}-\beta _{4}+\beta _{5}+\cdots)q^{4}+\cdots\)
4005.2.a.q \(9\) \(31.980\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-5\) \(0\) \(9\) \(-3\) \(-\) \(-\) \(+\) \(q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)


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