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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.d \(1\) \(63.888\) \(\Q\) None \(1\) \(0\) \(-4\) \(-1\) \(-\) \(+\) \(-\) \(q+q^{2}-q^{4}-4q^{5}-q^{7}-3q^{8}-4q^{10}+\cdots\)
8001.2.a.f \(1\) \(63.888\) \(\Q\) None \(2\) \(0\) \(0\) \(-1\) \(-\) \(+\) \(-\) \(q+2q^{2}+2q^{4}-q^{7}+2q^{13}-2q^{14}+\cdots\)
8001.2.a.h \(2\) \(63.888\) \(\Q(\sqrt{17}) \) None \(-1\) \(0\) \(-3\) \(-2\) \(-\) \(+\) \(-\) \(q-\beta q^{2}+(2+\beta )q^{4}+(-1-\beta )q^{5}-q^{7}+\cdots\)
8001.2.a.i \(2\) \(63.888\) \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(3\) \(-2\) \(-\) \(+\) \(-\) \(q-2q^{4}+(1+\beta )q^{5}-q^{7}+(2-2\beta )q^{11}+\cdots\)
8001.2.a.m \(11\) \(63.888\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(2\) \(0\) \(-1\) \(-11\) \(-\) \(+\) \(-\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{7}q^{5}-q^{7}+\cdots\)
8001.2.a.q \(15\) \(63.888\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(0\) \(0\) \(-7\) \(-15\) \(-\) \(+\) \(-\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{8}q^{5}-q^{7}+\cdots\)
8001.2.a.r \(16\) \(63.888\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-5\) \(0\) \(1\) \(-16\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{13}q^{5}-q^{7}+\cdots\)
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