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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 17
289.10.a.a \(5\) \(148.845\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(-33\) \(236\) \(-1480\) \(13202\) \(+\) \(q+(-7+\beta _{1})q^{2}+(48-2\beta _{1}-\beta _{4})q^{3}+\cdots\)
289.10.a.b \(7\) \(148.845\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-1\) \(-88\) \(-1362\) \(-9388\) \(+\) \(q-\beta _{1}q^{2}+(-12-2\beta _{1}+\beta _{4})q^{3}+(341+\cdots)q^{4}+\cdots\)
289.10.a.c \(12\) \(148.845\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-30\) \(0\) \(0\) \(0\) \(+\) \(q+(-2+\beta _{2})q^{2}-\beta _{1}q^{3}+(154-4\beta _{2}+\cdots)q^{4}+\cdots\)
289.10.a.d \(12\) \(148.845\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(17\) \(-74\) \(-454\) \(5524\) \(+\) \(q+(1+\beta _{1})q^{2}+(-6+\beta _{3})q^{3}+(249+\cdots)q^{4}+\cdots\)
289.10.a.f \(24\) \(148.845\) None \(0\) \(0\) \(0\) \(0\) \(+\)
289.10.a.g \(36\) \(148.845\) None \(0\) \(-486\) \(-3750\) \(-29040\) \(+\)
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