## Results (1-50 of 69 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
920.1.p.a $$2$$ $$0.459$$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-230})$$ None $$-2$$ $$1$$ $$-2$$ $$-1$$ $$q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}+(-1+\cdots)q^{7}+\cdots$$
920.1.p.b $$2$$ $$0.459$$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-230})$$ None $$-2$$ $$1$$ $$2$$ $$1$$ $$q-q^{2}+(1-\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$$
920.1.p.c $$2$$ $$0.459$$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-230})$$ None $$2$$ $$-1$$ $$-2$$ $$1$$ $$q+q^{2}+(-1+\beta )q^{3}+q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots$$
920.1.p.d $$2$$ $$0.459$$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-230})$$ None $$2$$ $$-1$$ $$2$$ $$-1$$ $$q+q^{2}-\beta q^{3}+q^{4}+q^{5}-\beta q^{6}+(-1+\cdots)q^{7}+\cdots$$
920.1.p.e $$4$$ $$0.459$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-46})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{2}q^{2}-q^{4}-\zeta_{8}q^{5}+\zeta_{8}^{2}q^{8}+\cdots$$
920.1.bh.a $$10$$ $$0.459$$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-10})$$ None $$-1$$ $$0$$ $$-1$$ $$-2$$ $$q-\zeta_{22}q^{2}+\zeta_{22}^{2}q^{4}+\zeta_{22}^{6}q^{5}+(-\zeta_{22}^{3}+\cdots)q^{7}+\cdots$$
920.1.bh.b $$10$$ $$0.459$$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-10})$$ None $$1$$ $$0$$ $$1$$ $$2$$ $$q+\zeta_{22}q^{2}+\zeta_{22}^{2}q^{4}-\zeta_{22}^{6}q^{5}+(\zeta_{22}^{3}+\cdots)q^{7}+\cdots$$
920.2.a.a $$1$$ $$7.346$$ $$\Q$$ None None $$0$$ $$-3$$ $$1$$ $$-2$$ $$+$$ $$q-3q^{3}+q^{5}-2q^{7}+6q^{9}+q^{13}+\cdots$$
920.2.a.b $$1$$ $$7.346$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$0$$ $$+$$ $$q-q^{3}+q^{5}-2q^{9}+2q^{11}-5q^{13}+\cdots$$
920.2.a.c $$1$$ $$7.346$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$1$$ $$+$$ $$q+q^{5}+q^{7}-3q^{9}-6q^{11}-2q^{13}+\cdots$$
920.2.a.d $$1$$ $$7.346$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$-2$$ $$+$$ $$q+q^{3}-q^{5}-2q^{7}-2q^{9}+q^{13}-q^{15}+\cdots$$
920.2.a.e $$2$$ $$7.346$$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-1$$ $$-2$$ $$-1$$ $$+$$ $$q-\beta q^{3}-q^{5}+(-1+\beta )q^{7}+(1+\beta )q^{9}+\cdots$$
920.2.a.f $$2$$ $$7.346$$ $$\Q(\sqrt{17})$$ None None $$0$$ $$1$$ $$2$$ $$2$$ $$-$$ $$q+\beta q^{3}+q^{5}+2\beta q^{7}+(1+\beta )q^{9}-4q^{11}+\cdots$$
920.2.a.g $$3$$ $$7.346$$ 3.3.621.1 None None $$0$$ $$0$$ $$-3$$ $$3$$ $$-$$ $$q+\beta _{1}q^{3}-q^{5}+(1+\beta _{1})q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots$$
920.2.a.h $$3$$ $$7.346$$ 3.3.2597.1 None None $$0$$ $$1$$ $$3$$ $$2$$ $$-$$ $$q+\beta _{1}q^{3}+q^{5}+(1-\beta _{1})q^{7}+(3+\beta _{2})q^{9}+\cdots$$
920.2.a.i $$3$$ $$7.346$$ 3.3.229.1 None None $$0$$ $$2$$ $$3$$ $$7$$ $$-$$ $$q+(1+\beta _{2})q^{3}+q^{5}+(2-\beta _{2})q^{7}+(1+\cdots)q^{9}+\cdots$$
920.2.a.j $$5$$ $$7.346$$ 5.5.13955077.1 None None $$0$$ $$0$$ $$-5$$ $$-2$$ $$-$$ $$q+\beta _{1}q^{3}-q^{5}+(-\beta _{3}-\beta _{4})q^{7}+(2+\cdots)q^{9}+\cdots$$
920.2.b.a $$4$$ $$7.346$$ $$\Q(\sqrt{2}, \sqrt{-5})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+2q^{4}-\beta _{3}q^{5}-2\beta _{3}q^{7}+\cdots$$
920.2.b.b $$136$$ $$7.346$$ None None $$0$$ $$0$$ $$0$$ $$0$$
920.2.e.a $$2$$ $$7.346$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+2iq^{3}+(2-i)q^{5}-3iq^{7}-q^{9}+\cdots$$
920.2.e.b $$14$$ $$7.346$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q-\beta _{8}q^{3}+\beta _{3}q^{5}+(\beta _{7}-\beta _{13})q^{7}+(1+\cdots)q^{9}+\cdots$$
920.2.e.c $$16$$ $$7.346$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-\beta _{5}q^{3}-\beta _{7}q^{5}+(-\beta _{2}+\beta _{13})q^{7}+\cdots$$
920.2.f.a $$2$$ $$7.346$$ $$\Q(\sqrt{-1})$$ None None $$2$$ $$0$$ $$0$$ $$0$$ $$q+(1+i)q^{2}+2iq^{4}+iq^{5}+(-2+2i)q^{8}+\cdots$$
920.2.f.b $$8$$ $$7.346$$ 8.0.1871773696.1 None None $$0$$ $$0$$ $$0$$ $$4$$ $$q-\beta _{6}q^{2}+(\beta _{1}+\beta _{3})q^{3}-2q^{4}-\beta _{1}q^{5}+\cdots$$
920.2.f.c $$30$$ $$7.346$$ None None $$0$$ $$0$$ $$0$$ $$-4$$
920.2.f.d $$48$$ $$7.346$$ None None $$-2$$ $$0$$ $$0$$ $$0$$
920.2.j.a $$132$$ $$7.346$$ None None $$0$$ $$0$$ $$0$$ $$0$$
920.2.n.a $$48$$ $$7.346$$ None None $$-2$$ $$0$$ $$-48$$ $$0$$
920.2.n.b $$48$$ $$7.346$$ None None $$-2$$ $$0$$ $$48$$ $$0$$
920.2.q.a $$72$$ $$7.346$$ None None $$0$$ $$0$$ $$0$$ $$0$$
920.2.v.a $$264$$ $$7.346$$ None None $$0$$ $$0$$ $$0$$ $$0$$
920.2.x.a $$8$$ $$7.346$$ 8.0.$$\cdots$$.4 $$\Q(\sqrt{-46})$$ None $$-8$$ $$0$$ $$0$$ $$0$$ $$q+(-1+\beta _{4})q^{2}-2\beta _{4}q^{4}+\beta _{1}q^{5}+\cdots$$
920.2.x.b $$8$$ $$7.346$$ 8.0.$$\cdots$$.4 $$\Q(\sqrt{-46})$$ None $$8$$ $$0$$ $$0$$ $$0$$ $$q+(1-\beta _{3})q^{2}-2\beta _{3}q^{4}-\beta _{4}q^{5}+(-2+\cdots)q^{8}+\cdots$$
920.2.x.c $$264$$ $$7.346$$ None None $$-4$$ $$0$$ $$0$$ $$0$$
920.2.y.a $$50$$ $$7.346$$ None None $$0$$ $$1$$ $$5$$ $$9$$
920.2.y.b $$60$$ $$7.346$$ None None $$0$$ $$-1$$ $$-6$$ $$18$$
920.2.y.c $$60$$ $$7.346$$ None None $$0$$ $$-1$$ $$6$$ $$-7$$
920.2.y.d $$70$$ $$7.346$$ None None $$0$$ $$1$$ $$-7$$ $$-20$$
920.2.bb.a $$480$$ $$7.346$$ None None $$2$$ $$0$$ $$-48$$ $$0$$
920.2.bb.b $$480$$ $$7.346$$ None None $$2$$ $$0$$ $$48$$ $$0$$
920.2.bf.a $$1400$$ $$7.346$$ None None $$0$$ $$0$$ $$0$$ $$0$$
920.2.bj.a $$960$$ $$7.346$$ None None $$4$$ $$0$$ $$0$$ $$8$$
920.2.bk.a $$360$$ $$7.346$$ None None $$0$$ $$0$$ $$0$$ $$0$$
920.2.bn.a $$40$$ $$7.346$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$
920.2.bn.b $$1360$$ $$7.346$$ None None $$0$$ $$0$$ $$0$$ $$0$$
920.2.bo.a $$2800$$ $$7.346$$ None None $$-18$$ $$0$$ $$0$$ $$-44$$
920.2.bq.a $$2800$$ $$7.346$$ None None $$-18$$ $$-36$$ $$0$$ $$0$$
920.2.bv.a $$720$$ $$7.346$$ None None $$0$$ $$0$$ $$0$$ $$0$$
920.3.g.a $$72$$ $$25.068$$ None None $$0$$ $$0$$ $$0$$ $$0$$
920.3.k.a $$48$$ $$25.068$$ None None $$0$$ $$0$$ $$0$$ $$0$$