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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.h \(7\) \(32.180\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-7\) \(-1\) \(7\) \(-4\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}-\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
4030.2.a.i \(7\) \(32.180\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-7\) \(3\) \(-7\) \(2\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
4030.2.a.j \(7\) \(32.180\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(7\) \(-3\) \(-7\) \(4\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}-\beta _{3}q^{3}+q^{4}-q^{5}-\beta _{3}q^{6}+\cdots\)


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