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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 3 127
1143.2.a.b \(1\) \(9.127\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(+\) \(+\) \(q-2q^{4}-q^{5}+4q^{11}+q^{13}+4q^{16}+\cdots\)
1143.2.a.c \(1\) \(9.127\) \(\Q\) None \(0\) \(0\) \(1\) \(-2\) \(-\) \(-\) \(q-2q^{4}+q^{5}-2q^{7}+4q^{11}-3q^{13}+\cdots\)
1143.2.a.d \(1\) \(9.127\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(+\) \(+\) \(q-2q^{4}+q^{5}-4q^{11}+q^{13}+4q^{16}+\cdots\)
1143.2.a.f \(4\) \(9.127\) \(\Q(\sqrt{3}, \sqrt{7})\) None \(0\) \(0\) \(0\) \(-6\) \(+\) \(+\) \(q+(\beta _{1}+\beta _{3})q^{2}+q^{4}-\beta _{1}q^{5}+(-1+\cdots)q^{7}+\cdots\)
1143.2.a.g \(5\) \(9.127\) 5.5.246832.1 None \(-2\) \(0\) \(-1\) \(0\) \(-\) \(-\) \(q-\beta _{2}q^{2}+(\beta _{1}+\beta _{2}+\beta _{3}+\beta _{4})q^{4}+\cdots\)
1143.2.a.i \(7\) \(9.127\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-2\) \(0\) \(-8\) \(-3\) \(-\) \(-\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{4})q^{5}+\cdots\)
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