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Results (33 matches)
Download displayed columns for resultsLabel | Dim | $A$ | Field | CM | Traces | Fricke sign | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | |||||||
163.2.a.a | $1$ | $1.302$ | \(\Q\) | None | \(0\) | \(0\) | \(-4\) | \(2\) | $+$ | \(q-2q^{4}-4q^{5}+2q^{7}-3q^{9}-6q^{11}+\cdots\) |
163.2.a.b | $5$ | $1.302$ | 5.5.65657.1 | None | \(-5\) | \(-5\) | \(-9\) | \(-6\) | $+$ | \(q+(-1+\beta _{2}+\beta _{3})q^{2}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots\) |
163.2.a.c | $7$ | $1.302$ | \(\mathbb{Q}[x]/(x^{7} - \cdots)\) | None | \(3\) | \(1\) | \(11\) | \(0\) | $-$ | \(q+\beta _{1}q^{2}+\beta _{4}q^{3}+(1+\beta _{2})q^{4}+(2-\beta _{6})q^{5}+\cdots\) |
163.2.c.a | $24$ | $1.302$ | None | \(-1\) | \(-1\) | \(-10\) | \(-3\) | |||
163.2.e.a | $72$ | $1.302$ | None | \(-3\) | \(0\) | \(0\) | \(6\) | |||
163.2.g.a | $216$ | $1.302$ | None | \(-18\) | \(-18\) | \(-9\) | \(-18\) | |||
163.2.i.a | $702$ | $1.302$ | None | \(-54\) | \(-54\) | \(-54\) | \(-54\) | |||
163.3.b.a | $1$ | $4.441$ | \(\Q\) | \(\Q(\sqrt{-163}) \) | \(0\) | \(0\) | \(0\) | \(0\) | \(q+4q^{4}+9q^{9}+2^{4}q^{16}+5^{2}q^{25}+\cdots\) | |
163.3.b.b | $26$ | $4.441$ | None | \(0\) | \(0\) | \(0\) | \(0\) | |||
163.3.d.a | $54$ | $4.441$ | None | \(0\) | \(-12\) | \(0\) | \(3\) | |||
163.3.f.a | $162$ | $4.441$ | None | \(-9\) | \(3\) | \(18\) | \(-12\) | |||
163.3.h.a | $486$ | $4.441$ | None | \(-18\) | \(-18\) | \(-45\) | \(-18\) | |||
163.3.j.a | $1404$ | $4.441$ | None | \(-54\) | \(-54\) | \(-54\) | \(-54\) | |||
163.4.a.a | $19$ | $9.617$ | \(\mathbb{Q}[x]/(x^{19} - \cdots)\) | None | \(-10\) | \(-15\) | \(-71\) | \(-48\) | $-$ | \(q+(-1+\beta _{1})q^{2}+(-1+\beta _{4})q^{3}+(4+\cdots)q^{4}+\cdots\) |
163.4.a.b | $21$ | $9.617$ | None | \(12\) | \(15\) | \(79\) | \(36\) | $+$ | ||
163.4.c.a | $80$ | $9.617$ | None | \(-2\) | \(0\) | \(-8\) | \(-27\) | |||
163.4.e.a | $240$ | $9.617$ | None | \(-9\) | \(-9\) | \(-45\) | \(30\) | |||
163.4.g.a | $720$ | $9.617$ | None | \(-18\) | \(-18\) | \(18\) | \(-18\) | |||
163.4.i.a | $2160$ | $9.617$ | None | \(-54\) | \(-54\) | \(-54\) | \(-54\) | |||
163.5.b.a | $1$ | $16.849$ | \(\Q\) | \(\Q(\sqrt{-163}) \) | \(0\) | \(0\) | \(0\) | \(0\) | \(q+2^{4}q^{4}+3^{4}q^{9}+2^{8}q^{16}+5^{4}q^{25}+\cdots\) | |
163.5.b.b | $52$ | $16.849$ | None | \(0\) | \(0\) | \(0\) | \(0\) | |||
163.6.a.a | $33$ | $26.143$ | None | \(-24\) | \(-45\) | \(-383\) | \(-332\) | $+$ | ||
163.6.a.b | $35$ | $26.143$ | None | \(20\) | \(45\) | \(367\) | \(256\) | $-$ | ||
163.7.b.a | $1$ | $37.499$ | \(\Q\) | \(\Q(\sqrt{-163}) \) | \(0\) | \(0\) | \(0\) | \(0\) | \(q+2^{6}q^{4}+3^{6}q^{9}+2^{12}q^{16}+5^{6}q^{25}+\cdots\) | |
163.7.b.b | $80$ | $37.499$ | None | \(0\) | \(0\) | \(0\) | \(0\) | |||
163.8.a.a | $46$ | $50.919$ | None | \(-48\) | \(-135\) | \(-1681\) | \(-1384\) | $-$ | ||
163.8.a.b | $48$ | $50.919$ | None | \(40\) | \(135\) | \(2069\) | \(2732\) | $+$ | ||
163.10.a.a | $60$ | $83.951$ | None | \(-80\) | \(-405\) | \(-10513\) | \(-19284\) | $+$ | ||
163.10.a.b | $62$ | $83.951$ | None | \(96\) | \(405\) | \(8237\) | \(9528\) | $-$ | ||
163.12.a.a | $73$ | $125.240$ | None | \(-160\) | \(-1215\) | \(-52091\) | \(-85088\) | $-$ | ||
163.12.a.b | $75$ | $125.240$ | None | \(192\) | \(1215\) | \(41659\) | \(116596\) | $+$ | ||
163.14.a.a | $87$ | $174.786$ | None | \(-384\) | \(-3645\) | \(-213443\) | \(-624412\) | $+$ | ||
163.14.a.b | $89$ | $174.786$ | None | \(320\) | \(3645\) | \(255307\) | \(787376\) | $-$ |