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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.e | \(1\) | \(63.888\) | \(\Q\) | None | \(1\) | \(0\) | \(0\) | \(1\) | \(-\) | \(-\) | \(+\) | \(q+q^{2}-q^{4}+q^{7}-3q^{8}+2q^{13}+q^{14}+\cdots\) | |
8001.2.a.j | \(2\) | \(63.888\) | \(\Q(\sqrt{2}) \) | None | \(0\) | \(0\) | \(0\) | \(2\) | \(-\) | \(-\) | \(+\) | \(q+\beta q^{2}-\beta q^{5}+q^{7}-2\beta q^{8}-2q^{10}+\cdots\) | |
8001.2.a.l | \(7\) | \(63.888\) | 7.7.118870813.1 | None | \(2\) | \(0\) | \(8\) | \(7\) | \(-\) | \(-\) | \(+\) | \(q-\beta _{4}q^{2}+(\beta _{1}+\beta _{2}+\beta _{3}-\beta _{4}-\beta _{5}+\cdots)q^{4}+\cdots\) | |
8001.2.a.o | \(13\) | \(63.888\) | \(\mathbb{Q}[x]/(x^{13} - \cdots)\) | None | \(-4\) | \(0\) | \(-12\) | \(13\) | \(-\) | \(-\) | \(+\) | \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{10}+\cdots)q^{5}+\cdots\) | |
8001.2.a.w | \(20\) | \(63.888\) | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) | None | \(-8\) | \(0\) | \(-3\) | \(20\) | \(-\) | \(-\) | \(+\) | \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{16}q^{5}+q^{7}+\cdots\) |