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Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
65.2.o.a | $20$ | $0.519$ | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) | None | \(-4\) | \(-2\) | \(-6\) | \(-6\) | \(q+(-\beta _{3}+\beta _{4})q^{2}+(\beta _{2}+\beta _{4}+\beta _{8}-\beta _{12}+\cdots)q^{3}+\cdots\) |
65.2.t.a | $20$ | $0.519$ | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) | None | \(-6\) | \(-2\) | \(0\) | \(-2\) | \(q+\beta _{1}q^{2}+(-\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\beta _{6}+\cdots)q^{3}+\cdots\) |
73.2.h.a | $20$ | $0.583$ | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) | None | \(-4\) | \(0\) | \(-4\) | \(-2\) | \(q-\beta _{9}q^{2}+(\beta _{2}+\beta _{6}-\beta _{8}-\beta _{11}+\beta _{13}+\cdots)q^{3}+\cdots\) |
73.2.i.a | $30$ | $0.583$ | None | \(-6\) | \(-6\) | \(0\) | \(-9\) | ||
77.2.m.b | $40$ | $0.615$ | None | \(-3\) | \(-4\) | \(4\) | \(-2\) | ||
79.2.e.a | $60$ | $0.631$ | None | \(-9\) | \(-9\) | \(-11\) | \(1\) | ||
27.3.f.a | $30$ | $0.736$ | None | \(-6\) | \(-6\) | \(-15\) | \(-6\) | ||
115.2.g.c | $50$ | $0.918$ | None | \(-5\) | \(-2\) | \(-5\) | \(-5\) | ||
155.2.q.a | $40$ | $1.238$ | None | \(-2\) | \(-1\) | \(20\) | \(4\) | ||
155.2.q.b | $40$ | $1.238$ | None | \(2\) | \(3\) | \(-20\) | \(-2\) | ||
159.2.g.a | $60$ | $1.270$ | None | \(-6\) | \(-5\) | \(-8\) | \(-4\) | ||
159.2.g.b | $60$ | $1.270$ | None | \(0\) | \(5\) | \(0\) | \(-4\) | ||
161.2.i.a | $50$ | $1.286$ | None | \(2\) | \(0\) | \(-11\) | \(5\) | ||
23.4.c.a | $50$ | $1.357$ | None | \(-11\) | \(-13\) | \(-19\) | \(-19\) | ||
170.2.o.b | $40$ | $1.357$ | None | \(0\) | \(0\) | \(0\) | \(0\) | ||
170.2.r.b | $40$ | $1.357$ | None | \(0\) | \(0\) | \(0\) | \(0\) | ||
178.2.e.b | $50$ | $1.421$ | None | \(-5\) | \(5\) | \(-8\) | \(-4\) | ||
183.2.q.a | $40$ | $1.461$ | None | \(-1\) | \(10\) | \(-15\) | \(-7\) | ||
194.2.g.b | $20$ | $1.549$ | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) | None | \(0\) | \(-6\) | \(-6\) | \(0\) | \(q-\beta _{7}q^{2}-\beta _{2}q^{3}+(1+\beta _{3})q^{4}+\beta _{14}q^{5}+\cdots\) |
194.2.h.b | $40$ | $1.549$ | None | \(0\) | \(-8\) | \(8\) | \(0\) | ||
198.2.m.a | $40$ | $1.581$ | None | \(-5\) | \(1\) | \(-1\) | \(0\) | ||
201.2.i.a | $50$ | $1.605$ | None | \(-2\) | \(5\) | \(2\) | \(2\) | ||
206.2.e.c | $80$ | $1.645$ | None | \(-5\) | \(-6\) | \(-6\) | \(-10\) | ||
212.2.g.a | $60$ | $1.693$ | None | \(0\) | \(2\) | \(0\) | \(-4\) | ||
219.2.n.b | $20$ | $1.749$ | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) | None | \(2\) | \(0\) | \(4\) | \(-10\) | \(q+\beta _{10}q^{2}+(-\beta _{5}-\beta _{6})q^{3}+(-1-\beta _{8}+\cdots)q^{4}+\cdots\) |
17.5.e.a | $40$ | $1.757$ | None | \(-8\) | \(-8\) | \(-8\) | \(-8\) | ||
242.2.e.a | $50$ | $1.932$ | None | \(5\) | \(-10\) | \(1\) | \(0\) | ||
260.2.bf.c | $20$ | $2.076$ | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) | None | \(0\) | \(-2\) | \(-6\) | \(-6\) | \(q+(-1-\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\beta _{5}+\cdots)q^{3}+\cdots\) |
260.2.bk.c | $20$ | $2.076$ | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) | None | \(0\) | \(-2\) | \(12\) | \(6\) | \(q+(\beta _{2}-\beta _{3}+\beta _{4}-\beta _{5}+\beta _{6}+2\beta _{7}+\cdots)q^{3}+\cdots\) |
262.2.e.a | $60$ | $2.092$ | None | \(5\) | \(1\) | \(1\) | \(0\) | ||
268.2.i.a | $50$ | $2.140$ | None | \(0\) | \(0\) | \(0\) | \(2\) | ||
274.2.e.a | $80$ | $2.188$ | None | \(5\) | \(-2\) | \(-2\) | \(17\) | ||
81.3.f.a | $30$ | $2.207$ | None | \(6\) | \(0\) | \(15\) | \(-6\) | ||
292.2.n.a | $20$ | $2.332$ | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) | None | \(0\) | \(0\) | \(-2\) | \(-2\) | \(q+(\beta _{1}-\beta _{2})q^{3}-\beta _{14}q^{5}+(\beta _{6}+\beta _{8}+\cdots)q^{7}+\cdots\) |
302.2.g.b | $40$ | $2.411$ | None | \(20\) | \(0\) | \(-21\) | \(-3\) | ||
325.2.s.b | $20$ | $2.595$ | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) | None | \(4\) | \(2\) | \(0\) | \(6\) | \(q+(\beta _{3}-\beta _{4})q^{2}+(-\beta _{2}-\beta _{4}-\beta _{8}+\beta _{12}+\cdots)q^{3}+\cdots\) |
325.2.x.b | $20$ | $2.595$ | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) | None | \(6\) | \(2\) | \(0\) | \(2\) | \(q+\beta _{2}q^{2}+(\beta _{2}+\beta _{4}+\beta _{8}-\beta _{12}+\beta _{15}+\cdots)q^{3}+\cdots\) |
328.2.ba.a | $40$ | $2.619$ | None | \(0\) | \(0\) | \(0\) | \(-4\) | ||
100.3.k.a | $40$ | $2.725$ | None | \(0\) | \(-2\) | \(6\) | \(14\) | ||
345.2.m.c | $50$ | $2.755$ | None | \(0\) | \(-5\) | \(5\) | \(-3\) | ||
345.2.m.d | $50$ | $2.755$ | None | \(2\) | \(5\) | \(-5\) | \(3\) | ||
351.2.bd.d | $20$ | $2.803$ | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) | None | \(0\) | \(0\) | \(-6\) | \(0\) | \(q-\beta _{4}q^{2}+(-\beta _{3}-\beta _{6}-\beta _{13}+\beta _{15}+\cdots)q^{4}+\cdots\) |
351.2.bd.e | $20$ | $2.803$ | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) | None | \(0\) | \(0\) | \(6\) | \(0\) | \(q+\beta _{4}q^{2}+(-\beta _{3}-\beta _{6}-\beta _{13}+\beta _{15}+\cdots)q^{4}+\cdots\) |
410.2.u.d | $40$ | $3.274$ | None | \(0\) | \(0\) | \(0\) | \(10\) | ||
122.3.h.a | $20$ | $3.324$ | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) | None | \(10\) | \(0\) | \(6\) | \(4\) | \(q+(\beta _{5}-\beta _{10})q^{2}+(\beta _{1}+\beta _{2})q^{3}+2\beta _{9}q^{4}+\cdots\) |
122.3.j.b | $40$ | $3.324$ | None | \(-10\) | \(-10\) | \(30\) | \(-8\) | ||
460.2.m.b | $50$ | $3.673$ | None | \(0\) | \(0\) | \(5\) | \(-1\) | ||
462.2.y.c | $40$ | $3.689$ | None | \(-5\) | \(5\) | \(1\) | \(9\) | ||
462.2.y.d | $40$ | $3.689$ | None | \(5\) | \(-5\) | \(-3\) | \(-7\) | ||
136.3.t.b | $40$ | $3.706$ | None | \(0\) | \(8\) | \(0\) | \(-8\) |