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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 3 167
4008.2.a.a \(1\) \(32.004\) \(\Q\) None \(0\) \(-1\) \(1\) \(-3\) \(-\) \(+\) \(+\) \(q-q^{3}+q^{5}-3q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
4008.2.a.g \(7\) \(32.004\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(-7\) \(-3\) \(8\) \(-\) \(+\) \(+\) \(q-q^{3}-\beta _{1}q^{5}+(1+\beta _{2})q^{7}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)


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