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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 3 7 127
8001.2.a.a \(1\) \(63.888\) \(\Q\) None \(-2\) \(0\) \(-3\) \(-1\) \(-\) \(+\) \(+\) \(q-2q^{2}+2q^{4}-3q^{5}-q^{7}+6q^{10}+\cdots\)
8001.2.a.p \(14\) \(63.888\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(5\) \(0\) \(4\) \(-14\) \(-\) \(+\) \(+\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{3}q^{5}-q^{7}+\cdots\)
8001.2.a.s \(16\) \(63.888\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-4\) \(0\) \(-5\) \(-16\) \(-\) \(+\) \(+\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{7}q^{5}-q^{7}+\cdots\)
8001.2.a.t \(16\) \(63.888\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(2\) \(0\) \(9\) \(-16\) \(-\) \(+\) \(+\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1-\beta _{11})q^{5}+\cdots\)
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