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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 7
7056.2.a.e \(1\) \(56.342\) \(\Q\) None \(0\) \(0\) \(-3\) \(0\) \(-\) \(+\) \(+\) \(q-3q^{5}-3q^{11}+2q^{13}-6q^{17}-2q^{19}+\cdots\)
7056.2.a.y \(1\) \(56.342\) \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q-7q^{13}+7q^{19}-5q^{25}+7q^{31}+\cdots\)
7056.2.a.be \(1\) \(56.342\) \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+5q^{13}+q^{19}-5q^{25}-11q^{31}+\cdots\)
7056.2.a.by \(1\) \(56.342\) \(\Q\) None \(0\) \(0\) \(3\) \(0\) \(-\) \(+\) \(+\) \(q+3q^{5}+3q^{11}+2q^{13}+6q^{17}-2q^{19}+\cdots\)
7056.2.a.ci \(2\) \(56.342\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+\beta q^{5}-4q^{11}+3\beta q^{13}-5\beta q^{17}+\cdots\)
7056.2.a.cs \(2\) \(56.342\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+\beta q^{5}+4q^{11}-3\beta q^{13}-5\beta q^{17}+\cdots\)
7056.2.a.cy \(4\) \(56.342\) \(\Q(\sqrt{2}, \sqrt{7})\) None \(0\) \(0\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+\beta _{2}q^{5}+\beta _{3}q^{11}-3\beta _{1}q^{13}+\beta _{2}q^{17}+\cdots\)


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