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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 17 59
4012.2.a.b \(1\) \(32.036\) \(\Q\) None \(0\) \(-3\) \(-1\) \(-5\) \(-\) \(-\) \(+\) \(q-3q^{3}-q^{5}-5q^{7}+6q^{9}-2q^{11}+\cdots\)
4012.2.a.f \(3\) \(32.036\) 3.3.321.1 None \(0\) \(-3\) \(1\) \(3\) \(-\) \(-\) \(+\) \(q-q^{3}-\beta _{1}q^{5}+q^{7}-2q^{9}-2q^{11}+\cdots\)
4012.2.a.h \(15\) \(32.036\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(0\) \(-1\) \(1\) \(-11\) \(-\) \(-\) \(+\) \(q+\beta _{5}q^{3}-\beta _{8}q^{5}+(-1-\beta _{9})q^{7}+(1+\cdots)q^{9}+\cdots\)


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