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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 3 7 13
546.8.a.b \(1\) \(170.562\) \(\Q\) None \(8\) \(27\) \(-390\) \(-343\) \(-\) \(-\) \(+\) \(+\) \(q+8q^{2}+3^{3}q^{3}+2^{6}q^{4}-390q^{5}+\cdots\)
546.8.a.m \(5\) \(170.562\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(40\) \(135\) \(299\) \(-1715\) \(-\) \(-\) \(+\) \(+\) \(q+8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(60-\beta _{1}+\cdots)q^{5}+\cdots\)
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