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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 13 31
403.2.a.a \(2\) \(3.218\) \(\Q(\sqrt{5}) \) None \(3\) \(-4\) \(0\) \(2\) \(-\) \(+\) \(q+(1+\beta )q^{2}-2q^{3}+3\beta q^{4}+(-1+2\beta )q^{5}+\cdots\)
403.2.a.c \(7\) \(3.218\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(2\) \(5\) \(11\) \(4\) \(+\) \(-\) \(q+\beta _{3}q^{2}+(1-\beta _{1})q^{3}+(\beta _{1}+\beta _{4}+\beta _{6})q^{4}+\cdots\)
403.2.a.e \(8\) \(3.218\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-1\) \(7\) \(11\) \(-2\) \(-\) \(+\) \(q-\beta _{1}q^{2}+(1+\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots\)


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