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Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
101.5.c.a | $66$ | $10.440$ | None | \(-2\) | \(-2\) | \(-76\) | \(48\) | ||
101.5.f.a | $264$ | $10.440$ | None | \(-8\) | \(-8\) | \(66\) | \(-58\) | ||
101.5.i.a | $1320$ | $10.440$ | None | \(-40\) | \(-40\) | \(-40\) | \(-40\) | ||
102.5.c.a | $20$ | $10.544$ | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) | None | \(0\) | \(20\) | \(0\) | \(-104\) | \(q+\beta _{1}q^{2}+(1-\beta _{4})q^{3}-8q^{4}+\beta _{2}q^{5}+\cdots\) |
102.5.d.a | $24$ | $10.544$ | None | \(0\) | \(0\) | \(0\) | \(0\) | ||
102.5.e.a | $48$ | $10.544$ | None | \(0\) | \(-8\) | \(0\) | \(0\) | ||
102.5.g.a | $4$ | $10.544$ | \(\Q(\zeta_{8})\) | None | \(-8\) | \(24\) | \(8\) | \(-132\) | \(q+(-2-2\zeta_{8}^{2})q^{2}+(6+3\zeta_{8}-6\zeta_{8}^{2}+\cdots)q^{3}+\cdots\) |
102.5.g.b | $4$ | $10.544$ | \(\Q(\zeta_{8})\) | None | \(8\) | \(12\) | \(-8\) | \(-132\) | \(q+(2+2\zeta_{8}^{2})q^{2}+(3+6\zeta_{8}+6\zeta_{8}^{3})q^{3}+\cdots\) |
102.5.g.c | $44$ | $10.544$ | None | \(-88\) | \(-32\) | \(-72\) | \(132\) | ||
102.5.g.d | $44$ | $10.544$ | None | \(88\) | \(-4\) | \(72\) | \(132\) | ||
102.5.j.a | $48$ | $10.544$ | None | \(0\) | \(0\) | \(0\) | \(-192\) | ||
102.5.j.b | $48$ | $10.544$ | None | \(0\) | \(0\) | \(0\) | \(192\) | ||
103.5.b.a | $5$ | $10.647$ | 5.5.33153125.1 | \(\Q(\sqrt{-103}) \) | \(0\) | \(0\) | \(0\) | \(0\) | \(q+\beta _{4}q^{2}+(2^{4}+6\beta _{2}-\beta _{3})q^{4}+(11\beta _{2}+\cdots)q^{7}+\cdots\) |
103.5.b.b | $28$ | $10.647$ | None | \(-2\) | \(0\) | \(0\) | \(28\) | ||
103.5.d.a | $68$ | $10.647$ | None | \(-1\) | \(0\) | \(-3\) | \(69\) | ||
103.5.f.a | $528$ | $10.647$ | None | \(-15\) | \(-17\) | \(-17\) | \(-45\) | ||
103.5.h.a | $1088$ | $10.647$ | None | \(-33\) | \(-34\) | \(-31\) | \(-103\) | ||
104.5.g.a | $48$ | $10.750$ | None | \(-6\) | \(0\) | \(0\) | \(0\) | ||
104.5.h.a | $3$ | $10.750$ | 3.3.2808.1 | \(\Q(\sqrt{-26}) \) | \(-12\) | \(0\) | \(0\) | \(0\) | \(q-4q^{2}+(-\beta _{1}+2\beta _{2})q^{3}+2^{4}q^{4}+\cdots\) |
104.5.h.b | $3$ | $10.750$ | 3.3.2808.1 | \(\Q(\sqrt{-26}) \) | \(12\) | \(0\) | \(0\) | \(0\) | \(q+4q^{2}+(-\beta _{1}+2\beta _{2})q^{3}+2^{4}q^{4}+\cdots\) |
104.5.h.c | $48$ | $10.750$ | None | \(0\) | \(-4\) | \(0\) | \(0\) | ||
104.5.j.a | $108$ | $10.750$ | None | \(-2\) | \(0\) | \(0\) | \(-4\) | ||
104.5.l.a | $14$ | $10.750$ | \(\mathbb{Q}[x]/(x^{14} + \cdots)\) | None | \(0\) | \(0\) | \(6\) | \(-8\) | \(q+\beta _{2}q^{3}+(\beta _{1}+\beta _{2}+\beta _{7})q^{5}+(-1+\cdots)q^{7}+\cdots\) |
104.5.l.b | $14$ | $10.750$ | \(\mathbb{Q}[x]/(x^{14} + \cdots)\) | None | \(0\) | \(0\) | \(54\) | \(40\) | \(q-\beta _{3}q^{3}+(4-4\beta _{4}-\beta _{6})q^{5}+(3+\beta _{1}+\cdots)q^{7}+\cdots\) |
104.5.n.a | $108$ | $10.750$ | None | \(-1\) | \(-2\) | \(0\) | \(0\) | ||
104.5.p.a | $108$ | $10.750$ | None | \(-3\) | \(-2\) | \(0\) | \(0\) | ||
104.5.v.a | $28$ | $10.750$ | None | \(0\) | \(0\) | \(-54\) | \(-112\) | ||
104.5.v.b | $28$ | $10.750$ | None | \(0\) | \(0\) | \(-6\) | \(80\) | ||
104.5.x.a | $216$ | $10.750$ | None | \(-4\) | \(0\) | \(0\) | \(-8\) | ||
105.5.c.a | $32$ | $10.854$ | None | \(0\) | \(-16\) | \(0\) | \(0\) | ||
105.5.e.a | $32$ | $10.854$ | None | \(0\) | \(0\) | \(0\) | \(0\) | ||
105.5.f.a | $48$ | $10.854$ | None | \(0\) | \(0\) | \(0\) | \(0\) | ||
105.5.h.a | $20$ | $10.854$ | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) | None | \(12\) | \(0\) | \(0\) | \(24\) | \(q+(1-\beta _{2})q^{2}-\beta _{4}q^{3}+(7+\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots\) |
105.5.k.a | $120$ | $10.854$ | None | \(0\) | \(0\) | \(0\) | \(-84\) | ||
105.5.l.a | $48$ | $10.854$ | None | \(0\) | \(0\) | \(96\) | \(0\) | ||
105.5.n.a | $4$ | $10.854$ | \(\Q(\sqrt{-3}, \sqrt{-5})\) | None | \(2\) | \(18\) | \(0\) | \(28\) | \(q+(-\beta _{1}+\beta _{2}-\beta _{3})q^{2}+(3+3\beta _{2})q^{3}+\cdots\) |
105.5.n.b | $8$ | $10.854$ | 8.0.\(\cdots\).5 | None | \(2\) | \(-36\) | \(0\) | \(98\) | \(q+(1-\beta _{1}-\beta _{2}+\beta _{4}+\beta _{5})q^{2}+(-3+\cdots)q^{3}+\cdots\) |
105.5.n.c | $12$ | $10.854$ | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) | None | \(-8\) | \(-54\) | \(0\) | \(-68\) | \(q+(-\beta _{1}+\beta _{2})q^{2}+(-3+3\beta _{2})q^{3}+\cdots\) |
105.5.n.d | $20$ | $10.854$ | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) | None | \(-8\) | \(90\) | \(0\) | \(-56\) | \(q+(-1+\beta _{1}-\beta _{2})q^{2}+(6+3\beta _{2})q^{3}+\cdots\) |
105.5.o.a | $120$ | $10.854$ | None | \(0\) | \(0\) | \(0\) | \(0\) | ||
105.5.r.a | $64$ | $10.854$ | None | \(0\) | \(0\) | \(54\) | \(0\) | ||
105.5.t.a | $84$ | $10.854$ | None | \(0\) | \(0\) | \(0\) | \(106\) | ||
105.5.v.a | $128$ | $10.854$ | None | \(0\) | \(0\) | \(-36\) | \(-20\) | ||
105.5.w.a | $240$ | $10.854$ | None | \(0\) | \(-6\) | \(0\) | \(72\) | ||
106.5.c.a | $18$ | $10.957$ | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) | None | \(-36\) | \(-10\) | \(-64\) | \(0\) | \(q+(-2+2\beta _{2})q^{2}+(-1+\beta _{1}+\beta _{2}+\cdots)q^{3}+\cdots\) |
106.5.c.b | $18$ | $10.957$ | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) | None | \(36\) | \(-10\) | \(16\) | \(0\) | \(q+(2+2\beta _{3})q^{2}+(-1+\beta _{1}-\beta _{3})q^{3}+\cdots\) |
106.5.f.a | $216$ | $10.957$ | None | \(-36\) | \(10\) | \(-16\) | \(0\) | ||
106.5.f.b | $216$ | $10.957$ | None | \(36\) | \(10\) | \(64\) | \(0\) | ||
107.5.b.a | $3$ | $11.061$ | 3.3.321.1 | \(\Q(\sqrt{-107}) \) | \(0\) | \(0\) | \(0\) | \(0\) | \(q+(\beta _{1}-3\beta _{2})q^{3}+2^{4}q^{4}+(3^{4}-9\beta _{1}+\cdots)q^{9}+\cdots\) |
107.5.b.b | $32$ | $11.061$ | None | \(0\) | \(-10\) | \(0\) | \(0\) |