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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 5 401
4010.2.a.c \(1\) \(32.020\) \(\Q\) None \(-1\) \(2\) \(1\) \(0\) \(+\) \(-\) \(-\) \(q-q^{2}+2q^{3}+q^{4}+q^{5}-2q^{6}-q^{8}+\cdots\)
4010.2.a.g \(2\) \(32.020\) \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(2\) \(0\) \(+\) \(-\) \(-\) \(q-q^{2}+\beta q^{3}+q^{4}+q^{5}-\beta q^{6}+2\beta q^{7}+\cdots\)
4010.2.a.i \(10\) \(32.020\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-10\) \(-4\) \(10\) \(-3\) \(+\) \(-\) \(-\) \(q-q^{2}-\beta _{7}q^{3}+q^{4}+q^{5}+\beta _{7}q^{6}+\cdots\)


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