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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 5 7 11
4235.2.a.b \(1\) \(33.817\) \(\Q\) None \(-1\) \(0\) \(1\) \(1\) \(-\) \(-\) \(+\) \(q-q^{2}-q^{4}+q^{5}+q^{7}+3q^{8}-3q^{9}+\cdots\)
4235.2.a.i \(2\) \(33.817\) \(\Q(\sqrt{5}) \) None \(-2\) \(1\) \(2\) \(2\) \(-\) \(-\) \(+\) \(q-q^{2}+(1-\beta )q^{3}-q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
4235.2.a.u \(4\) \(33.817\) 4.4.15952.1 None \(0\) \(-2\) \(4\) \(4\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}-\beta _{2}q^{3}+(1+\beta _{1}+\beta _{2}+\beta _{3})q^{4}+\cdots\)
4235.2.a.w \(4\) \(33.817\) 4.4.725.1 None \(1\) \(-3\) \(4\) \(4\) \(-\) \(-\) \(+\) \(q+(1-\beta _{1}-\beta _{2})q^{2}+(-1-\beta _{1}+\beta _{3})q^{3}+\cdots\)
4235.2.a.bi \(10\) \(33.817\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-2\) \(-4\) \(10\) \(10\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}+\beta _{7}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
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