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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 3 167
6012.2.a.a \(2\) \(48.006\) \(\Q(\sqrt{13}) \) None \(0\) \(0\) \(6\) \(3\) \(-\) \(-\) \(-\) \(q+3q^{5}+(2-\beta )q^{7}+(5-\beta )q^{13}-\beta q^{17}+\cdots\)
6012.2.a.c \(3\) \(48.006\) 3.3.148.1 None \(0\) \(0\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+\beta _{2}q^{5}+2\beta _{2}q^{7}+(1+\beta _{1}+\beta _{2})q^{11}+\cdots\)
6012.2.a.d \(5\) \(48.006\) 5.5.826865.1 None \(0\) \(0\) \(-10\) \(9\) \(-\) \(-\) \(-\) \(q-2q^{5}+(2-\beta _{3})q^{7}+(-\beta _{1}-\beta _{2}-\beta _{3}+\cdots)q^{11}+\cdots\)
6012.2.a.f \(5\) \(48.006\) 5.5.161121.1 None \(0\) \(0\) \(7\) \(-2\) \(-\) \(-\) \(-\) \(q+(1+\beta _{3}+\beta _{4})q^{5}+(-1+\beta _{1}+\beta _{3}+\cdots)q^{7}+\cdots\)
6012.2.a.i \(9\) \(48.006\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(0\) \(-1\) \(2\) \(-\) \(-\) \(-\) \(q-\beta _{1}q^{5}+(-\beta _{3}-\beta _{6})q^{7}+(1+\beta _{7}+\cdots)q^{11}+\cdots\)
6012.2.a.k \(10\) \(48.006\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(0\) \(6\) \(4\) \(-\) \(+\) \(+\) \(q+(1+\beta _{3})q^{5}+\beta _{1}q^{7}+(\beta _{2}-\beta _{3}-\beta _{6}+\cdots)q^{11}+\cdots\)
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