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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 13 19
6422.2.a.c \(1\) \(51.280\) \(\Q\) None \(-1\) \(1\) \(3\) \(-1\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}-q^{7}+\cdots\)
6422.2.a.k \(3\) \(51.280\) \(\Q(\zeta_{14})^+\) None \(-3\) \(-3\) \(-5\) \(2\) \(+\) \(-\) \(-\) \(q-q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+q^{4}+(-2+\cdots)q^{5}+\cdots\)
6422.2.a.bg \(8\) \(51.280\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-8\) \(-4\) \(2\) \(2\) \(+\) \(-\) \(-\) \(q-q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{6}q^{5}+\beta _{1}q^{6}+\cdots\)
6422.2.a.bo \(15\) \(51.280\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(-15\) \(0\) \(-1\) \(-18\) \(+\) \(-\) \(-\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{10}q^{5}-\beta _{1}q^{6}+\cdots\)
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