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Results (25 matches)
Download displayed columns for resultsLabel | Dim | $A$ | Field | CM | RM | Traces | Fricke sign | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||||
179.1.b.a | $2$ | $0.089$ | \(\Q(\sqrt{5}) \) | \(\Q(\sqrt{-179}) \) | None | \(0\) | \(-1\) | \(-1\) | \(0\) | \(q+(-1+\beta )q^{3}+q^{4}-\beta q^{5}+(1-\beta )q^{9}+\cdots\) | |
179.2.a.a | $1$ | $1.429$ | \(\Q\) | None | None | \(2\) | \(0\) | \(3\) | \(-4\) | $-$ | \(q+2q^{2}+2q^{4}+3q^{5}-4q^{7}-3q^{9}+\cdots\) |
179.2.a.b | $3$ | $1.429$ | \(\Q(\zeta_{14})^+\) | None | None | \(-1\) | \(-2\) | \(-4\) | \(-4\) | $+$ | \(q-\beta _{1}q^{2}+(-1+\beta _{1})q^{3}+\beta _{2}q^{4}+(-2+\cdots)q^{5}+\cdots\) |
179.2.a.c | $11$ | $1.429$ | \(\mathbb{Q}[x]/(x^{11} - \cdots)\) | None | None | \(-3\) | \(0\) | \(3\) | \(8\) | $-$ | \(q-\beta _{1}q^{2}-\beta _{7}q^{3}+(1+\beta _{2})q^{4}-\beta _{3}q^{5}+\cdots\) |
179.2.c.a | $1232$ | $1.429$ | None | None | \(-84\) | \(-83\) | \(-85\) | \(-81\) | |||
179.3.b.a | $5$ | $4.877$ | 5.5.100128125.1 | \(\Q(\sqrt{-179}) \) | None | \(0\) | \(0\) | \(0\) | \(0\) | \(q+\beta _{2}q^{3}+4q^{4}+(-2\beta _{1}-\beta _{4})q^{5}+\cdots\) | |
179.3.b.b | $24$ | $4.877$ | None | None | \(0\) | \(0\) | \(4\) | \(0\) | |||
179.3.d.a | $2552$ | $4.877$ | None | None | \(-89\) | \(-89\) | \(-93\) | \(-89\) | |||
179.4.a.a | $17$ | $10.561$ | \(\mathbb{Q}[x]/(x^{17} - \cdots)\) | None | None | \(-2\) | \(-9\) | \(-45\) | \(-44\) | $-$ | \(q-\beta _{1}q^{2}+(-1+\beta _{3})q^{3}+(2+\beta _{2})q^{4}+\cdots\) |
179.4.a.b | $27$ | $10.561$ | None | None | \(4\) | \(9\) | \(35\) | \(68\) | $+$ | ||
179.4.c.a | $3872$ | $10.561$ | None | None | \(-91\) | \(-89\) | \(-79\) | \(-113\) | |||
179.5.b.a | $5$ | $18.503$ | 5.5.100128125.1 | \(\Q(\sqrt{-179}) \) | None | \(0\) | \(0\) | \(0\) | \(0\) | \(q+(3\beta _{1}+2\beta _{4})q^{3}+2^{4}q^{4}+(-\beta _{2}+11\beta _{3}+\cdots)q^{5}+\cdots\) | |
179.5.b.b | $54$ | $18.503$ | None | None | \(0\) | \(0\) | \(-8\) | \(0\) | |||
179.6.a.a | $32$ | $28.709$ | None | None | \(-8\) | \(-18\) | \(-172\) | \(-404\) | $+$ | ||
179.6.a.b | $42$ | $28.709$ | None | None | \(4\) | \(36\) | \(228\) | \(380\) | $-$ | ||
179.7.b.a | $5$ | $41.180$ | 5.5.100128125.1 | \(\Q(\sqrt{-179}) \) | None | \(0\) | \(0\) | \(0\) | \(0\) | \(q+(\beta _{1}-3\beta _{3})q^{3}+2^{6}q^{4}+(5\beta _{2}+7\beta _{4})q^{5}+\cdots\) | |
179.7.b.b | $84$ | $41.180$ | None | None | \(0\) | \(-54\) | \(-146\) | \(0\) | |||
179.8.a.a | $47$ | $55.917$ | None | None | \(-16\) | \(-108\) | \(-930\) | \(-3076\) | $-$ | ||
179.8.a.b | $57$ | $55.917$ | None | None | \(8\) | \(54\) | \(1070\) | \(2412\) | $+$ | ||
179.10.a.a | $62$ | $92.191$ | None | None | \(-16\) | \(-243\) | \(-5797\) | \(-16732\) | $+$ | ||
179.10.a.b | $72$ | $92.191$ | None | None | \(32\) | \(243\) | \(4203\) | \(21684\) | $-$ | ||
179.12.a.a | $76$ | $137.533$ | None | None | \(-32\) | \(-972\) | \(-30810\) | \(-116660\) | $-$ | ||
179.12.a.b | $86$ | $137.533$ | None | None | \(64\) | \(486\) | \(19190\) | \(152252\) | $+$ | ||
179.14.a.a | $92$ | $191.943$ | None | None | \(-128\) | \(-1458\) | \(-104122\) | \(-1140324\) | $+$ | ||
179.14.a.b | $102$ | $191.943$ | None | None | \(64\) | \(2916\) | \(145878\) | \(742060\) | $-$ |