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Results (displaying all 5 matches)

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.e \(2\) \(31.980\) \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(-2\) \(0\) \(-\) \(+\) \(-\) \(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-q^{5}-\beta q^{7}+\cdots\)
4005.2.a.f \(2\) \(31.980\) \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(-2\) \(-2\) \(-\) \(+\) \(-\) \(q+\beta q^{2}+q^{4}-q^{5}+(-1+\beta )q^{7}-\beta q^{8}+\cdots\)
4005.2.a.j \(3\) \(31.980\) \(\Q(\zeta_{14})^+\) None \(2\) \(0\) \(-3\) \(-5\) \(-\) \(+\) \(-\) \(q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}-q^{5}+\cdots\)
4005.2.a.k \(4\) \(31.980\) 4.4.8069.1 None \(-1\) \(0\) \(-4\) \(12\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+3q^{7}+\cdots\)
4005.2.a.s \(10\) \(31.980\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-1\) \(0\) \(-10\) \(-1\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+\beta _{6}q^{7}+\cdots\)


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