## Results (1-50 of 91 matches)

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
185.2.a.a $$1$$ $$1.477$$ $$\Q$$ None $$-2$$ $$1$$ $$-1$$ $$-5$$ $$+$$ $$q-2q^{2}+q^{3}+2q^{4}-q^{5}-2q^{6}-5q^{7}+\cdots$$
185.2.a.b $$1$$ $$1.477$$ $$\Q$$ None $$0$$ $$-1$$ $$1$$ $$-3$$ $$+$$ $$q-q^{3}-2q^{4}+q^{5}-3q^{7}-2q^{9}-5q^{11}+\cdots$$
185.2.a.c $$1$$ $$1.477$$ $$\Q$$ None $$1$$ $$-2$$ $$-1$$ $$-2$$ $$+$$ $$q+q^{2}-2q^{3}-q^{4}-q^{5}-2q^{6}-2q^{7}+\cdots$$
185.2.a.d $$5$$ $$1.477$$ 5.5.368464.1 None $$0$$ $$-1$$ $$5$$ $$7$$ $$-$$ $$q-\beta _{2}q^{2}-\beta _{3}q^{3}+(2-\beta _{1}-\beta _{4})q^{4}+\cdots$$
185.2.a.e $$5$$ $$1.477$$ 5.5.973904.1 None $$2$$ $$3$$ $$-5$$ $$11$$ $$-$$ $$q+\beta _{4}q^{2}+(1-\beta _{1})q^{3}+(2+\beta _{3})q^{4}+\cdots$$
185.2.b.a $$18$$ $$1.477$$ $$\mathbb{Q}[x]/(x^{18} + \cdots)$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(\beta _{1}+\beta _{13})q^{2}+(\beta _{12}-\beta _{13})q^{3}+(-2+\cdots)q^{4}+\cdots$$
185.2.c.a $$2$$ $$1.477$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$2$$ $$0$$ $$2$$ $$q+q^{3}+2q^{4}+iq^{5}+q^{7}-2q^{9}-3q^{11}+\cdots$$
185.2.c.b $$12$$ $$1.477$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$0$$ $$2$$ $$0$$ $$-18$$ $$q+\beta _{1}q^{2}-\beta _{9}q^{3}+(-1+\beta _{9}+\beta _{10}+\cdots)q^{4}+\cdots$$
185.2.d.a $$16$$ $$1.477$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{7}q^{2}-\beta _{9}q^{3}+(1-\beta _{2})q^{4}-\beta _{1}q^{5}+\cdots$$
185.2.e.a $$14$$ $$1.477$$ $$\mathbb{Q}[x]/(x^{14} + \cdots)$$ None $$0$$ $$-2$$ $$-7$$ $$0$$ $$q+(-\beta _{1}+\beta _{4})q^{2}-\beta _{6}q^{3}+(\beta _{2}+\beta _{9}+\cdots)q^{4}+\cdots$$
185.2.e.b $$14$$ $$1.477$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None $$2$$ $$-2$$ $$7$$ $$2$$ $$q+\beta _{8}q^{2}+\beta _{6}q^{3}+(-1+\beta _{5}-\beta _{7}+\cdots)q^{4}+\cdots$$
185.2.f.a $$2$$ $$1.477$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$-2$$ $$-4$$ $$-6$$ $$q-iq^{2}+(-1-i)q^{3}+q^{4}+(-2+i)q^{5}+\cdots$$
185.2.f.b $$2$$ $$1.477$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$4$$ $$-4$$ $$0$$ $$q-iq^{2}+(2+2i)q^{3}+q^{4}+(-2+i)q^{5}+\cdots$$
185.2.f.c $$6$$ $$1.477$$ 6.0.350464.1 None $$0$$ $$-2$$ $$2$$ $$-4$$ $$q-\beta _{5}q^{2}+(-1+\beta _{1}-\beta _{3}-\beta _{4}+\beta _{5})q^{3}+\cdots$$
185.2.f.d $$24$$ $$1.477$$ None $$0$$ $$4$$ $$0$$ $$6$$
185.2.k.a $$2$$ $$1.477$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$-4$$ $$-2$$ $$0$$ $$q-q^{2}+(-2+2i)q^{3}-q^{4}+(-1+2i)q^{5}+\cdots$$
185.2.k.b $$2$$ $$1.477$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$2$$ $$-2$$ $$-6$$ $$q-q^{2}+(1-i)q^{3}-q^{4}+(-1+2i)q^{5}+\cdots$$
185.2.k.c $$6$$ $$1.477$$ 6.0.350464.1 None $$-2$$ $$2$$ $$0$$ $$-4$$ $$q+\beta _{3}q^{2}+(1-\beta _{2}+\beta _{3}-\beta _{4}+\beta _{5})q^{3}+\cdots$$
185.2.k.d $$24$$ $$1.477$$ None $$4$$ $$-4$$ $$8$$ $$6$$
185.2.l.a $$32$$ $$1.477$$ None $$0$$ $$0$$ $$3$$ $$0$$
185.2.m.a $$28$$ $$1.477$$ None $$-6$$ $$-4$$ $$0$$ $$-2$$
185.2.n.a $$36$$ $$1.477$$ None $$0$$ $$0$$ $$-2$$ $$0$$
185.2.o.a $$36$$ $$1.477$$ None $$-3$$ $$0$$ $$0$$ $$6$$
185.2.o.b $$36$$ $$1.477$$ None $$-3$$ $$0$$ $$0$$ $$0$$
185.2.p.a $$68$$ $$1.477$$ None $$-4$$ $$-8$$ $$-10$$ $$-2$$
185.2.u.a $$68$$ $$1.477$$ None $$-6$$ $$-4$$ $$0$$ $$-2$$
185.2.v.a $$96$$ $$1.477$$ None $$0$$ $$0$$ $$-12$$ $$0$$
185.2.w.a $$72$$ $$1.477$$ None $$6$$ $$0$$ $$0$$ $$-6$$
185.2.x.a $$108$$ $$1.477$$ None $$0$$ $$0$$ $$-9$$ $$0$$
185.2.z.a $$204$$ $$1.477$$ None $$-12$$ $$-6$$ $$-12$$ $$-12$$
185.2.bc.a $$204$$ $$1.477$$ None $$-12$$ $$-18$$ $$-12$$ $$-12$$
185.3.g.a $$48$$ $$5.041$$ None $$4$$ $$0$$ $$0$$ $$0$$
185.3.h.a $$72$$ $$5.041$$ None $$0$$ $$-8$$ $$0$$ $$-4$$
185.3.i.a $$72$$ $$5.041$$ None $$0$$ $$0$$ $$4$$ $$-4$$
185.3.j.a $$72$$ $$5.041$$ None $$0$$ $$0$$ $$-6$$ $$0$$
185.3.q.a $$144$$ $$5.041$$ None $$0$$ $$0$$ $$18$$ $$0$$
185.3.r.a $$144$$ $$5.041$$ None $$-6$$ $$-4$$ $$-18$$ $$-2$$
185.3.s.a $$144$$ $$5.041$$ None $$-6$$ $$0$$ $$2$$ $$-2$$
185.3.t.a $$96$$ $$5.041$$ None $$-4$$ $$0$$ $$0$$ $$0$$
185.3.y.a $$432$$ $$5.041$$ None $$-12$$ $$-6$$ $$0$$ $$-12$$
185.3.ba.a $$432$$ $$5.041$$ None $$0$$ $$0$$ $$-30$$ $$0$$
185.3.bb.a $$312$$ $$5.041$$ None $$0$$ $$0$$ $$0$$ $$0$$
185.3.bd.a $$432$$ $$5.041$$ None $$-12$$ $$-18$$ $$-24$$ $$-12$$
185.4.a.a $$7$$ $$10.915$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None $$-5$$ $$-6$$ $$35$$ $$-49$$ $$-$$ $$q+(-1+\beta _{1})q^{2}+(-1-\beta _{1}+\beta _{3})q^{3}+\cdots$$
185.4.a.b $$7$$ $$10.915$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None $$1$$ $$-8$$ $$-35$$ $$-77$$ $$-$$ $$q+\beta _{1}q^{2}+(-1-\beta _{5})q^{3}+(2+\beta _{5}-\beta _{6})q^{4}+\cdots$$
185.4.a.c $$10$$ $$10.915$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None $$7$$ $$4$$ $$-50$$ $$49$$ $$+$$ $$q+(1-\beta _{1})q^{2}-\beta _{5}q^{3}+(5-\beta _{1}+\beta _{4}+\cdots)q^{4}+\cdots$$
185.4.a.d $$12$$ $$10.915$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$1$$ $$6$$ $$60$$ $$77$$ $$+$$ $$q+\beta _{1}q^{2}+\beta _{3}q^{3}+(7+\beta _{2}-\beta _{3})q^{4}+\cdots$$
185.4.b.a $$54$$ $$10.915$$ None $$0$$ $$0$$ $$-8$$ $$0$$
185.4.c.a $$38$$ $$10.915$$ None $$0$$ $$0$$ $$0$$ $$-12$$
185.4.d.a $$56$$ $$10.915$$ None $$0$$ $$0$$ $$0$$ $$0$$