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## Results (1-50 of 158 matches)

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Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
330.2.a.a $$1$$ $$2.635$$ $$\Q$$ None $$-1$$ $$-1$$ $$-1$$ $$0$$ $$-$$ $$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots$$
330.2.a.b $$1$$ $$2.635$$ $$\Q$$ None $$-1$$ $$-1$$ $$1$$ $$-4$$ $$+$$ $$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-4q^{7}+\cdots$$
330.2.a.c $$1$$ $$2.635$$ $$\Q$$ None $$1$$ $$-1$$ $$-1$$ $$4$$ $$-$$ $$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+4q^{7}+\cdots$$
330.2.a.d $$1$$ $$2.635$$ $$\Q$$ None $$1$$ $$-1$$ $$1$$ $$0$$ $$-$$ $$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$$
330.2.a.e $$1$$ $$2.635$$ $$\Q$$ None $$1$$ $$1$$ $$1$$ $$0$$ $$-$$ $$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\cdots$$
330.2.c.a $$4$$ $$2.635$$ $$\Q(i, \sqrt{10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}+\beta _{2}q^{3}-q^{4}+\beta _{1}q^{5}-q^{6}+\cdots$$
330.2.c.b $$4$$ $$2.635$$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{2}-\zeta_{8}^{2}q^{3}-q^{4}+(2\zeta_{8}+\zeta_{8}^{3})q^{5}+\cdots$$
330.2.d.a $$8$$ $$2.635$$ 8.0.2051727616.3 None $$-8$$ $$2$$ $$0$$ $$0$$ $$q-q^{2}+(\beta _{3}+\beta _{4})q^{3}+q^{4}-\beta _{4}q^{5}+\cdots$$
330.2.d.b $$8$$ $$2.635$$ 8.0.2051727616.3 None $$8$$ $$2$$ $$0$$ $$0$$ $$q+q^{2}+(\beta _{3}+\beta _{4})q^{3}+q^{4}-\beta _{4}q^{5}+\cdots$$
330.2.f.a $$24$$ $$2.635$$ None $$0$$ $$0$$ $$0$$ $$0$$
330.2.j.a $$20$$ $$2.635$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{6}q^{2}-\beta _{3}q^{3}-\beta _{14}q^{4}+(\beta _{6}-\beta _{7}+\cdots)q^{5}+\cdots$$
330.2.j.b $$20$$ $$2.635$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$0$$ $$4$$ $$0$$ $$0$$ $$q-\beta _{6}q^{2}+\beta _{1}q^{3}-\beta _{14}q^{4}+(-\beta _{6}+\cdots)q^{5}+\cdots$$
330.2.l.a $$4$$ $$2.635$$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+\zeta_{8}q^{2}+\zeta_{8}q^{3}+\zeta_{8}^{2}q^{4}+(2\zeta_{8}+\zeta_{8}^{3})q^{5}+\cdots$$
330.2.l.b $$4$$ $$2.635$$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q+\zeta_{8}q^{2}-\zeta_{8}q^{3}+\zeta_{8}^{2}q^{4}+(-2\zeta_{8}+\cdots)q^{5}+\cdots$$
330.2.l.c $$8$$ $$2.635$$ 8.0.822083584.4 None $$0$$ $$0$$ $$-8$$ $$-8$$ $$q+\beta _{2}q^{2}-\beta _{2}q^{3}+\beta _{4}q^{4}+(-1+\beta _{6}+\cdots)q^{5}+\cdots$$
330.2.l.d $$8$$ $$2.635$$ 8.0.822083584.4 None $$0$$ $$0$$ $$-8$$ $$8$$ $$q+\beta _{6}q^{2}+\beta _{6}q^{3}-\beta _{4}q^{4}+(-1-\beta _{1}+\cdots)q^{5}+\cdots$$
330.2.m.a $$4$$ $$2.635$$ $$\Q(\zeta_{10})$$ None $$-1$$ $$1$$ $$-1$$ $$5$$ $$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$$
330.2.m.b $$4$$ $$2.635$$ $$\Q(\zeta_{10})$$ None $$-1$$ $$1$$ $$1$$ $$-4$$ $$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$$
330.2.m.c $$4$$ $$2.635$$ $$\Q(\zeta_{10})$$ None $$1$$ $$1$$ $$-1$$ $$4$$ $$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}-\zeta_{10}^{2}q^{3}+\cdots$$
330.2.m.d $$4$$ $$2.635$$ $$\Q(\zeta_{10})$$ None $$1$$ $$1$$ $$1$$ $$-5$$ $$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}-\zeta_{10}^{2}q^{3}+\cdots$$
330.2.m.e $$8$$ $$2.635$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$-2$$ $$-2$$ $$-2$$ $$-3$$ $$q-\beta _{2}q^{2}+\beta _{4}q^{3}-\beta _{3}q^{4}+(-1+\beta _{2}+\cdots)q^{5}+\cdots$$
330.2.m.f $$8$$ $$2.635$$ 8.0.2769390625.1 None $$2$$ $$-2$$ $$2$$ $$3$$ $$q-\beta _{5}q^{2}+(-1-\beta _{2}+\beta _{3}-\beta _{5})q^{3}+\cdots$$
330.2.p.a $$96$$ $$2.635$$ None $$0$$ $$0$$ $$0$$ $$0$$
330.2.r.a $$32$$ $$2.635$$ None $$-8$$ $$-2$$ $$0$$ $$0$$
330.2.r.b $$32$$ $$2.635$$ None $$8$$ $$-2$$ $$0$$ $$0$$
330.2.s.a $$8$$ $$2.635$$ $$\Q(\zeta_{20})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{20}q^{2}-\zeta_{20}^{3}q^{3}+\zeta_{20}^{2}q^{4}+(\zeta_{20}+\cdots)q^{5}+\cdots$$
330.2.s.b $$8$$ $$2.635$$ $$\Q(\zeta_{20})$$ None $$0$$ $$0$$ $$10$$ $$0$$ $$q+\zeta_{20}q^{2}-\zeta_{20}^{3}q^{3}+\zeta_{20}^{2}q^{4}+(2\zeta_{20}^{2}+\cdots)q^{5}+\cdots$$
330.2.s.c $$32$$ $$2.635$$ None $$0$$ $$0$$ $$-2$$ $$0$$
330.2.u.a $$48$$ $$2.635$$ None $$0$$ $$0$$ $$8$$ $$16$$
330.2.u.b $$48$$ $$2.635$$ None $$0$$ $$0$$ $$8$$ $$24$$
330.2.w.a $$192$$ $$2.635$$ None $$0$$ $$4$$ $$0$$ $$8$$
330.3.b.a $$16$$ $$8.992$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}+\beta _{6}q^{3}-2q^{4}-\beta _{5}q^{5}+\beta _{13}q^{6}+\cdots$$
330.3.e.a $$40$$ $$8.992$$ None $$0$$ $$0$$ $$0$$ $$0$$
330.3.g.a $$24$$ $$8.992$$ None $$0$$ $$0$$ $$0$$ $$-16$$
330.3.h.a $$24$$ $$8.992$$ None $$0$$ $$0$$ $$-8$$ $$0$$
330.3.i.a $$16$$ $$8.992$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$16$$ $$0$$ $$0$$ $$0$$ $$q+(1+\beta _{6})q^{2}+\beta _{5}q^{3}+2\beta _{6}q^{4}+(-\beta _{11}+\cdots)q^{5}+\cdots$$
330.3.i.b $$24$$ $$8.992$$ None $$-24$$ $$0$$ $$-16$$ $$0$$
330.3.k.a $$48$$ $$8.992$$ None $$-48$$ $$2$$ $$0$$ $$0$$
330.3.k.b $$48$$ $$8.992$$ None $$48$$ $$2$$ $$0$$ $$0$$
330.3.n.a $$96$$ $$8.992$$ None $$0$$ $$0$$ $$8$$ $$0$$
330.3.o.a $$128$$ $$8.992$$ None $$0$$ $$-8$$ $$0$$ $$0$$
330.3.q.a $$192$$ $$8.992$$ None $$0$$ $$0$$ $$0$$ $$0$$
330.3.t.a $$32$$ $$8.992$$ None $$0$$ $$0$$ $$-40$$ $$20$$
330.3.t.b $$32$$ $$8.992$$ None $$0$$ $$0$$ $$40$$ $$-20$$
330.3.v.a $$192$$ $$8.992$$ None $$-48$$ $$-2$$ $$0$$ $$0$$
330.3.v.b $$192$$ $$8.992$$ None $$48$$ $$-2$$ $$0$$ $$0$$
330.3.x.a $$96$$ $$8.992$$ None $$-24$$ $$0$$ $$0$$ $$-68$$
330.3.x.b $$96$$ $$8.992$$ None $$24$$ $$0$$ $$16$$ $$-20$$
330.4.a.a $$1$$ $$19.471$$ $$\Q$$ None $$-2$$ $$-3$$ $$-5$$ $$2$$ $$-$$ $$q-2q^{2}-3q^{3}+4q^{4}-5q^{5}+6q^{6}+\cdots$$
330.4.a.b $$1$$ $$19.471$$ $$\Q$$ None $$-2$$ $$-3$$ $$5$$ $$20$$ $$+$$ $$q-2q^{2}-3q^{3}+4q^{4}+5q^{5}+6q^{6}+\cdots$$
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