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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 19
456.2.a.b \(1\) \(3.641\) \(\Q\) None \(0\) \(-1\) \(4\) \(4\) \(+\) \(+\) \(-\) \(q-q^{3}+4q^{5}+4q^{7}+q^{9}-4q^{11}+\cdots\)
456.2.a.d \(1\) \(3.641\) \(\Q\) None \(0\) \(1\) \(2\) \(0\) \(+\) \(-\) \(+\) \(q+q^{3}+2q^{5}+q^{9}+2q^{13}+2q^{15}+\cdots\)
456.2.a.e \(2\) \(3.641\) \(\Q(\sqrt{41}) \) None \(0\) \(-2\) \(-1\) \(-3\) \(+\) \(+\) \(-\) \(q-q^{3}-\beta q^{5}+(-2+\beta )q^{7}+q^{9}+(2+\cdots)q^{11}+\cdots\)
456.2.a.f \(2\) \(3.641\) \(\Q(\sqrt{17}) \) None \(0\) \(2\) \(1\) \(1\) \(-\) \(-\) \(-\) \(q+q^{3}+\beta q^{5}+\beta q^{7}+q^{9}+(4-\beta )q^{11}+\cdots\)
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