## Results (displaying matches 1-50 of 256) Next

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
117.1.j.a $$2$$ $$0.058$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+iq^{4}+(-1-i)q^{7}-iq^{13}-q^{16}+\cdots$$
117.2.a.a $$1$$ $$0.934$$ $$\Q$$ None None $$-1$$ $$0$$ $$-2$$ $$-4$$ $$+$$ $$q-q^{2}-q^{4}-2q^{5}-4q^{7}+3q^{8}+2q^{10}+\cdots$$
117.2.a.b $$2$$ $$0.934$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$-$$ $$q+\beta q^{2}+q^{4}+2q^{7}-\beta q^{8}-2\beta q^{11}+\cdots$$
117.2.a.c $$2$$ $$0.934$$ $$\Q(\sqrt{2})$$ None None $$2$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q+(1+\beta )q^{2}+(1+2\beta )q^{4}-2\beta q^{5}-2\beta q^{7}+\cdots$$
117.2.b.a $$2$$ $$0.934$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{2}-q^{4}-2\zeta_{6}q^{7}-\zeta_{6}q^{8}+2\zeta_{6}q^{11}+\cdots$$
117.2.b.b $$4$$ $$0.934$$ 4.0.8112.1 $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}+(-2-\beta _{3})q^{4}-\beta _{1}q^{5}+(\beta _{1}+\cdots)q^{8}+\cdots$$
117.2.e.a $$2$$ $$0.934$$ $$\Q(\sqrt{-3})$$ None None $$-2$$ $$-3$$ $$-4$$ $$-2$$ $$q+(-2+2\zeta_{6})q^{2}+(-2+\zeta_{6})q^{3}-2\zeta_{6}q^{4}+\cdots$$
117.2.e.b $$10$$ $$0.934$$ 10.0.$$\cdots$$.1 None None $$-2$$ $$1$$ $$-1$$ $$2$$ $$q-\beta _{9}q^{2}+(\beta _{1}-\beta _{5}+\beta _{9})q^{3}+(\beta _{1}-\beta _{6}+\cdots)q^{4}+\cdots$$
117.2.e.c $$12$$ $$0.934$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$2$$ $$-2$$ $$3$$ $$0$$ $$q+(\beta _{3}-\beta _{7}-\beta _{8}+\beta _{10}-\beta _{11})q^{2}+\cdots$$
117.2.f.a $$24$$ $$0.934$$ None None $$1$$ $$-1$$ $$-2$$ $$-6$$
117.2.g.a $$2$$ $$0.934$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q+2\zeta_{6}q^{4}+\zeta_{6}q^{7}+(4-3\zeta_{6})q^{13}+\cdots$$
117.2.g.b $$2$$ $$0.934$$ $$\Q(\sqrt{-3})$$ None None $$1$$ $$0$$ $$2$$ $$-2$$ $$q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{4}+q^{5}-2\zeta_{6}q^{7}+\cdots$$
117.2.g.c $$4$$ $$0.934$$ $$\Q(\sqrt{-3}, \sqrt{17})$$ None None $$1$$ $$0$$ $$6$$ $$3$$ $$q+\beta _{1}q^{2}+(-2+\beta _{1}+2\beta _{2}+\beta _{3})q^{4}+\cdots$$
117.2.h.a $$24$$ $$0.934$$ None None $$-2$$ $$-1$$ $$-2$$ $$3$$
117.2.i.a $$12$$ $$0.934$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-8$$ $$q-\beta _{9}q^{2}+(\beta _{3}-2\beta _{4})q^{4}-\beta _{8}q^{5}+(-1+\cdots)q^{7}+\cdots$$
117.2.l.a $$2$$ $$0.934$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$3$$ $$3$$ $$q+(1-2\zeta_{6})q^{2}+(-1+2\zeta_{6})q^{3}-q^{4}+\cdots$$
117.2.l.b $$22$$ $$0.934$$ None None $$0$$ $$-1$$ $$-3$$ $$-6$$
117.2.q.a $$2$$ $$0.934$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$-3$$ $$q-2\zeta_{6}q^{4}+(2-4\zeta_{6})q^{5}+(-2+\zeta_{6})q^{7}+\cdots$$
117.2.q.b $$2$$ $$0.934$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$9$$ $$q-2\zeta_{6}q^{4}+(6-3\zeta_{6})q^{7}+(-4+3\zeta_{6})q^{13}+\cdots$$
117.2.q.c $$2$$ $$0.934$$ $$\Q(\sqrt{-3})$$ None None $$3$$ $$0$$ $$0$$ $$0$$ $$q+(1+\zeta_{6})q^{2}+\zeta_{6}q^{4}+(-1+2\zeta_{6})q^{5}+\cdots$$
117.2.q.d $$4$$ $$0.934$$ $$\Q(\sqrt{-3}, \sqrt{-5})$$ None None $$0$$ $$0$$ $$0$$ $$-12$$ $$q+\beta _{1}q^{2}+3\beta _{2}q^{4}-\beta _{3}q^{5}+(-4+2\beta _{2}+\cdots)q^{7}+\cdots$$
117.2.r.a $$2$$ $$0.934$$ $$\Q(\sqrt{-3})$$ None None $$-3$$ $$-3$$ $$-3$$ $$0$$ $$q+(-2+\zeta_{6})q^{2}+(-2+\zeta_{6})q^{3}+(1+\cdots)q^{4}+\cdots$$
117.2.r.b $$22$$ $$0.934$$ None None $$0$$ $$2$$ $$3$$ $$0$$
117.2.t.a $$2$$ $$0.934$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-3$$ $$-6$$ $$-6$$ $$q+(-1-\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{4}+(-2+\cdots)q^{5}+\cdots$$
117.2.t.b $$2$$ $$0.934$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-3$$ $$6$$ $$6$$ $$q+(-1-\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{4}+(2+\cdots)q^{5}+\cdots$$
117.2.t.c $$20$$ $$0.934$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$q-\beta _{17}q^{2}+\beta _{10}q^{3}+(1-\beta _{6}+\beta _{11}+\cdots)q^{4}+\cdots$$
117.2.x.a $$48$$ $$0.934$$ None None $$-6$$ $$-2$$ $$-6$$ $$-4$$
117.2.z.a $$4$$ $$0.934$$ $$\Q(\zeta_{12})$$ None None $$-6$$ $$-6$$ $$-6$$ $$-4$$ $$q+(-1+\zeta_{12}-\zeta_{12}^{2}-2\zeta_{12}^{3})q^{2}+\cdots$$
117.2.z.b $$44$$ $$0.934$$ None None $$0$$ $$-2$$ $$0$$ $$0$$
117.2.ba.a $$8$$ $$0.934$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+(\zeta_{24}^{4}-\zeta_{24}^{5})q^{2}-2\zeta_{24}q^{4}+(\zeta_{24}^{4}+\cdots)q^{5}+\cdots$$
117.2.ba.b $$8$$ $$0.934$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$8$$ $$q+\zeta_{24}^{7}q^{2}+\zeta_{24}^{2}q^{4}+(-\zeta_{24}+2\zeta_{24}^{3}+\cdots)q^{5}+\cdots$$
117.2.bc.a $$48$$ $$0.934$$ None None $$-6$$ $$-2$$ $$-6$$ $$2$$
117.3.c.a $$8$$ $$3.188$$ 8.0.$$\cdots$$.15 None None $$0$$ $$0$$ $$0$$ $$-16$$ $$q+\beta _{1}q^{2}+(-1+\beta _{2}+\beta _{3})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots$$
117.3.d.a $$8$$ $$3.188$$ 8.0.$$\cdots$$.5 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{6}q^{5}-\beta _{4}q^{7}+\cdots$$
117.3.j.a $$4$$ $$3.188$$ $$\Q(i, \sqrt{10})$$ None None $$4$$ $$0$$ $$-8$$ $$-12$$ $$q+(1+\beta _{1}+\beta _{2})q^{2}+(2\beta _{1}+3\beta _{2}+2\beta _{3})q^{4}+\cdots$$
117.3.j.b $$8$$ $$3.188$$ 8.0.$$\cdots$$.10 None None $$-4$$ $$0$$ $$20$$ $$8$$ $$q+\beta _{4}q^{2}+(-1-\beta _{1}-\beta _{4}-\beta _{7})q^{4}+\cdots$$
117.3.j.c $$8$$ $$3.188$$ 8.0.897122304.10 None None $$0$$ $$0$$ $$0$$ $$8$$ $$q+\beta _{2}q^{2}+(\beta _{3}+\beta _{7})q^{4}-\beta _{1}q^{5}+(1+\cdots)q^{7}+\cdots$$
117.3.k.a $$52$$ $$3.188$$ None None $$0$$ $$-1$$ $$-6$$ $$-1$$
117.3.m.a $$52$$ $$3.188$$ None None $$-3$$ $$-1$$ $$0$$ $$0$$
117.3.n.a $$52$$ $$3.188$$ None None $$0$$ $$-4$$ $$0$$ $$0$$
117.3.o.a $$20$$ $$3.188$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$42$$ $$q+\beta _{1}q^{2}+(-2\beta _{5}+\beta _{10})q^{4}+(\beta _{12}+\cdots)q^{5}+\cdots$$
117.3.p.a $$20$$ $$3.188$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-6$$ $$q-\beta _{5}q^{2}+(2\beta _{3}-\beta _{4})q^{4}+(\beta _{8}-\beta _{15}+\cdots)q^{5}+\cdots$$
117.3.s.a $$48$$ $$3.188$$ None None $$0$$ $$2$$ $$-18$$ $$0$$
117.3.u.a $$52$$ $$3.188$$ None None $$-3$$ $$-1$$ $$-6$$ $$2$$
117.3.v.a $$52$$ $$3.188$$ None None $$-6$$ $$-1$$ $$0$$ $$-3$$
117.3.w.a $$104$$ $$3.188$$ None None $$-2$$ $$-2$$ $$-2$$ $$0$$
117.3.y.a $$104$$ $$3.188$$ None None $$-2$$ $$-8$$ $$-2$$ $$0$$
117.3.bb.a $$104$$ $$3.188$$ None None $$-2$$ $$-2$$ $$-2$$ $$-6$$
117.3.bd.a $$4$$ $$3.188$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-22$$ $$q-4\zeta_{12}q^{4}+(-8-8\zeta_{12}+5\zeta_{12}^{2}+\cdots)q^{7}+\cdots$$
117.3.bd.b $$4$$ $$3.188$$ $$\Q(\zeta_{12})$$ None None $$2$$ $$0$$ $$14$$ $$16$$ $$q+(1-\zeta_{12}^{2}+\zeta_{12}^{3})q^{2}+(-1-2\zeta_{12}+\cdots)q^{4}+\cdots$$
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