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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.a \(1\) \(170.562\) \(\Q\) None \(8\) \(-27\) \(-135\) \(343\) \(-\) \(+\) \(-\) \(-\) \(q+8q^{2}-3^{3}q^{3}+2^{6}q^{4}-135q^{5}+\cdots\)
546.8.a.d \(3\) \(170.562\) \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None \(24\) \(-81\) \(351\) \(1029\) \(-\) \(+\) \(-\) \(-\) \(q+8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(117+\beta _{1}+\cdots)q^{5}+\cdots\)
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