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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.r \(10\) \(31.980\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-6\) \(0\) \(-10\) \(7\) \(-\) \(+\) \(+\) \(q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
4005.2.a.s \(10\) \(31.980\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-1\) \(0\) \(-10\) \(-1\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+\beta _{6}q^{7}+\cdots\)
4005.2.a.t \(10\) \(31.980\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(0\) \(10\) \(9\) \(-\) \(-\) \(-\) \(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+q^{5}+(1-\beta _{4}+\cdots)q^{7}+\cdots\)


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