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Results (41 matches)
Download displayed columns for resultsLabel | Dim | $A$ | Field | CM | RM | Traces | Fricke sign | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||||
869.1.j.a | $20$ | $0.434$ | \(\Q(\zeta_{50})\) | \(\Q(\sqrt{-79}) \) | None | \(0\) | \(0\) | \(0\) | \(0\) | \(q+(-\zeta_{50}^{9}-\zeta_{50}^{21})q^{2}+(-\zeta_{50}^{5}+\cdots)q^{4}+\cdots\) | |
869.2.a.a | $1$ | $6.939$ | \(\Q\) | None | None | \(-2\) | \(1\) | \(1\) | \(-2\) | $+$ | \(q-2q^{2}+q^{3}+2q^{4}+q^{5}-2q^{6}-2q^{7}+\cdots\) |
869.2.a.b | $1$ | $6.939$ | \(\Q\) | None | None | \(-1\) | \(-2\) | \(2\) | \(4\) | $-$ | \(q-q^{2}-2q^{3}-q^{4}+2q^{5}+2q^{6}+4q^{7}+\cdots\) |
869.2.a.c | $1$ | $6.939$ | \(\Q\) | None | None | \(1\) | \(-1\) | \(1\) | \(1\) | $+$ | \(q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}+q^{7}+\cdots\) |
869.2.a.d | $1$ | $6.939$ | \(\Q\) | None | None | \(1\) | \(1\) | \(1\) | \(-5\) | $+$ | \(q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}-5q^{7}+\cdots\) |
869.2.a.e | $11$ | $6.939$ | \(\mathbb{Q}[x]/(x^{11} - \cdots)\) | None | None | \(-3\) | \(-3\) | \(-8\) | \(-7\) | $+$ | \(q-\beta _{1}q^{2}+\beta _{6}q^{3}+(\beta _{1}+\beta _{7}+\beta _{8})q^{4}+\cdots\) |
869.2.a.f | $11$ | $6.939$ | \(\mathbb{Q}[x]/(x^{11} - \cdots)\) | None | None | \(1\) | \(-9\) | \(-8\) | \(-3\) | $+$ | \(q+\beta _{1}q^{2}+(-1-\beta _{7})q^{3}+(1+\beta _{2})q^{4}+\cdots\) |
869.2.a.g | $18$ | $6.939$ | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) | None | None | \(4\) | \(8\) | \(-3\) | \(10\) | $-$ | \(q+\beta _{1}q^{2}-\beta _{15}q^{3}+(1+\beta _{2})q^{4}+\beta _{10}q^{5}+\cdots\) |
869.2.a.h | $21$ | $6.939$ | None | None | \(0\) | \(7\) | \(6\) | \(10\) | $-$ | ||
869.2.b.a | $10$ | $6.939$ | 10.0.\(\cdots\).1 | \(\Q(\sqrt{-79}) \) | None | \(0\) | \(0\) | \(0\) | \(0\) | \(q+\beta _{8}q^{2}+(-2+\beta _{1}+\beta _{5}-\beta _{6}-\beta _{8}+\cdots)q^{4}+\cdots\) | |
869.2.b.b | $68$ | $6.939$ | None | None | \(0\) | \(0\) | \(-4\) | \(0\) | |||
869.2.e.a | $66$ | $6.939$ | None | None | \(0\) | \(-3\) | \(0\) | \(-4\) | |||
869.2.e.b | $66$ | $6.939$ | None | None | \(0\) | \(1\) | \(0\) | \(2\) | |||
869.2.f.a | $4$ | $6.939$ | \(\Q(\zeta_{10})\) | None | None | \(-3\) | \(-1\) | \(-3\) | \(-5\) | \(q+(-1+\zeta_{10}^{3})q^{2}+(-\zeta_{10}-\zeta_{10}^{2}+\cdots)q^{3}+\cdots\) | |
869.2.f.b | $132$ | $6.939$ | None | None | \(2\) | \(4\) | \(16\) | \(8\) | |||
869.2.f.c | $176$ | $6.939$ | None | None | \(-1\) | \(-9\) | \(-19\) | \(3\) | |||
869.2.i.a | $156$ | $6.939$ | None | None | \(0\) | \(-6\) | \(-2\) | \(0\) | |||
869.2.l.a | $8$ | $6.939$ | 8.0.484000000.9 | None | None | \(10\) | \(0\) | \(14\) | \(0\) | \(q+(2+\beta _{2}+\beta _{3}-\beta _{5})q^{2}+(-\beta _{1}-\beta _{4}+\cdots)q^{3}+\cdots\) | |
869.2.l.b | $40$ | $6.939$ | \(\Q(\sqrt{-79}) \) | None | \(0\) | \(0\) | \(0\) | \(0\) | |||
869.2.l.c | $264$ | $6.939$ | None | None | \(-20\) | \(0\) | \(-20\) | \(0\) | |||
869.2.m.a | $408$ | $6.939$ | None | None | \(0\) | \(-4\) | \(0\) | \(1\) | |||
869.2.m.b | $408$ | $6.939$ | None | None | \(0\) | \(0\) | \(0\) | \(-13\) | |||
869.2.n.a | $8$ | $6.939$ | \(\Q(\zeta_{15})\) | None | None | \(-3\) | \(-1\) | \(-2\) | \(4\) | \(q+(\zeta_{15}^{2}+\zeta_{15}^{5})q^{2}+(1-\zeta_{15}+\zeta_{15}^{3}+\cdots)q^{3}+\cdots\) | |
869.2.n.b | $616$ | $6.939$ | None | None | \(2\) | \(-2\) | \(-1\) | \(-7\) | |||
869.2.q.a | $936$ | $6.939$ | None | None | \(0\) | \(-26\) | \(-22\) | \(0\) | |||
869.2.r.a | $624$ | $6.939$ | None | None | \(-5\) | \(-9\) | \(-3\) | \(-15\) | |||
869.2.u.a | $792$ | $6.939$ | None | None | \(0\) | \(-1\) | \(0\) | \(11\) | |||
869.2.u.b | $792$ | $6.939$ | None | None | \(0\) | \(3\) | \(0\) | \(-9\) | |||
869.2.v.a | $3744$ | $6.939$ | None | None | \(-37\) | \(-33\) | \(-33\) | \(-45\) | |||
869.2.w.a | $1872$ | $6.939$ | None | None | \(0\) | \(-46\) | \(-50\) | \(0\) | |||
869.2.z.a | $3744$ | $6.939$ | None | None | \(-55\) | \(-39\) | \(-33\) | \(-65\) | |||
869.2.bc.a | $7488$ | $6.939$ | None | None | \(-77\) | \(-75\) | \(-75\) | \(-75\) | |||
869.2.bf.a | $7488$ | $6.939$ | None | None | \(-125\) | \(-69\) | \(-75\) | \(-115\) | |||
869.4.a.a | $44$ | $51.273$ | None | None | \(-2\) | \(-16\) | \(-32\) | \(-70\) | $-$ | ||
869.4.a.b | $46$ | $51.273$ | None | None | \(-8\) | \(-24\) | \(-30\) | \(-98\) | $-$ | ||
869.4.a.c | $52$ | $51.273$ | None | None | \(-2\) | \(26\) | \(28\) | \(70\) | $+$ | ||
869.4.a.d | $54$ | $51.273$ | None | None | \(8\) | \(18\) | \(30\) | \(98\) | $+$ | ||
869.6.a.a | $76$ | $139.374$ | None | None | \(-16\) | \(-79\) | \(-174\) | \(-686\) | $+$ | ||
869.6.a.b | $78$ | $139.374$ | None | None | \(4\) | \(-48\) | \(-131\) | \(-490\) | $+$ | ||
869.6.a.c | $84$ | $139.374$ | None | None | \(16\) | \(47\) | \(126\) | \(686\) | $-$ | ||
869.6.a.d | $86$ | $139.374$ | None | None | \(4\) | \(78\) | \(169\) | \(490\) | $-$ |