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Results (19 matches)
Download displayed columns for resultsLabel | Dim | $A$ | Field | CM | RM | Traces | Fricke sign | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||||
503.1.b.a | $1$ | $0.251$ | \(\Q\) | \(\Q(\sqrt{-503}) \) | None | \(2\) | \(-1\) | \(0\) | \(-1\) | \(q+2q^{2}-q^{3}+3q^{4}-2q^{6}-q^{7}+4q^{8}+\cdots\) | |
503.1.b.b | $3$ | $0.251$ | \(\Q(\zeta_{14})^+\) | \(\Q(\sqrt{-503}) \) | None | \(-1\) | \(-1\) | \(0\) | \(-1\) | \(q-\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}+(2+\beta _{2})q^{6}+\cdots\) | |
503.1.b.c | $6$ | $0.251$ | \(\Q(\zeta_{21})^+\) | \(\Q(\sqrt{-503}) \) | None | \(-2\) | \(1\) | \(0\) | \(1\) | \(q+\beta _{3}q^{2}+\beta _{4}q^{3}+(-\beta _{3}+\beta _{5})q^{4}+\cdots\) | |
503.2.a.a | $1$ | $4.016$ | \(\Q\) | None | None | \(-1\) | \(1\) | \(-4\) | \(-3\) | $-$ | \(q-q^{2}+q^{3}-q^{4}-4q^{5}-q^{6}-3q^{7}+\cdots\) |
503.2.a.b | $1$ | $4.016$ | \(\Q\) | None | None | \(1\) | \(1\) | \(-2\) | \(-3\) | $+$ | \(q+q^{2}+q^{3}-q^{4}-2q^{5}+q^{6}-3q^{7}+\cdots\) |
503.2.a.c | $1$ | $4.016$ | \(\Q\) | None | None | \(1\) | \(3\) | \(-2\) | \(3\) | $-$ | \(q+q^{2}+3q^{3}-q^{4}-2q^{5}+3q^{6}+3q^{7}+\cdots\) |
503.2.a.d | $3$ | $4.016$ | 3.3.257.1 | None | None | \(0\) | \(1\) | \(0\) | \(1\) | $-$ | \(q+\beta _{2}q^{2}+\beta _{1}q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+\cdots\) |
503.2.a.e | $10$ | $4.016$ | \(\mathbb{Q}[x]/(x^{10} - \cdots)\) | None | None | \(-4\) | \(-8\) | \(-1\) | \(-5\) | $+$ | \(q-\beta _{9}q^{2}+(-1+\beta _{1})q^{3}+\beta _{5}q^{4}-\beta _{2}q^{5}+\cdots\) |
503.2.a.f | $26$ | $4.016$ | None | None | \(4\) | \(4\) | \(9\) | \(11\) | $-$ | ||
503.2.c.a | $10250$ | $4.016$ | None | None | \(-249\) | \(-249\) | \(-245\) | \(-247\) | |||
503.3.b.a | $21$ | $13.706$ | \(\Q(\sqrt{-503}) \) | None | \(0\) | \(0\) | \(0\) | \(0\) | |||
503.3.b.b | $62$ | $13.706$ | None | None | \(-2\) | \(-2\) | \(0\) | \(-8\) | |||
503.4.a.a | $1$ | $29.678$ | \(\Q\) | None | None | \(5\) | \(7\) | \(-4\) | \(-3\) | $+$ | \(q+5q^{2}+7q^{3}+17q^{4}-4q^{5}+35q^{6}+\cdots\) |
503.4.a.b | $52$ | $29.678$ | None | None | \(-11\) | \(-31\) | \(-22\) | \(-101\) | $-$ | ||
503.4.a.c | $72$ | $29.678$ | None | None | \(4\) | \(22\) | \(42\) | \(98\) | $+$ | ||
503.6.a.a | $94$ | $80.673$ | None | None | \(-21\) | \(-91\) | \(-187\) | \(-628\) | $+$ | ||
503.6.a.b | $115$ | $80.673$ | None | None | \(19\) | \(89\) | \(113\) | \(744\) | $-$ | ||
503.8.a.a | $136$ | $157.130$ | None | None | \(-41\) | \(-271\) | \(-627\) | \(-5000\) | $-$ | ||
503.8.a.b | $157$ | $157.130$ | None | None | \(39\) | \(269\) | \(873\) | \(4604\) | $+$ |