## Results (1-50 of 87 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
555.1.b.a $$8$$ $$0.277$$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-111})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{16}-\zeta_{16}^{7})q^{2}+\zeta_{16}^{4}q^{3}+(-1+\cdots)q^{4}+\cdots$$
555.2.a.a $$1$$ $$4.432$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$-2$$ $$-$$ $$q+q^{3}-2q^{4}-q^{5}-2q^{7}+q^{9}+4q^{11}+\cdots$$
555.2.a.b $$1$$ $$4.432$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$2$$ $$-$$ $$q+q^{3}-2q^{4}+q^{5}+2q^{7}+q^{9}-2q^{12}+\cdots$$
555.2.a.c $$2$$ $$4.432$$ $$\Q(\sqrt{5})$$ None None $$-3$$ $$2$$ $$2$$ $$-4$$ $$+$$ $$q+(-1-\beta )q^{2}+q^{3}+3\beta q^{4}+q^{5}+\cdots$$
555.2.a.d $$2$$ $$4.432$$ $$\Q(\sqrt{13})$$ None None $$-1$$ $$-2$$ $$2$$ $$-6$$ $$+$$ $$q-\beta q^{2}-q^{3}+(1+\beta )q^{4}+q^{5}+\beta q^{6}+\cdots$$
555.2.a.e $$2$$ $$4.432$$ $$\Q(\sqrt{5})$$ None None $$-1$$ $$2$$ $$-2$$ $$-2$$ $$+$$ $$q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}-q^{5}-\beta q^{6}+\cdots$$
555.2.a.f $$2$$ $$4.432$$ $$\Q(\sqrt{5})$$ None None $$1$$ $$-2$$ $$-2$$ $$0$$ $$+$$ $$q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-q^{5}-\beta q^{6}+\cdots$$
555.2.a.g $$2$$ $$4.432$$ $$\Q(\sqrt{13})$$ None None $$1$$ $$2$$ $$-2$$ $$2$$ $$-$$ $$q+\beta q^{2}+q^{3}+(1+\beta )q^{4}-q^{5}+\beta q^{6}+\cdots$$
555.2.a.h $$3$$ $$4.432$$ 3.3.469.1 None None $$1$$ $$-3$$ $$3$$ $$4$$ $$-$$ $$q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+q^{5}-\beta _{1}q^{6}+\cdots$$
555.2.a.i $$3$$ $$4.432$$ 3.3.229.1 None None $$2$$ $$3$$ $$3$$ $$-4$$ $$-$$ $$q+(1+\beta _{2})q^{2}+q^{3}+(2+\beta _{1})q^{4}+q^{5}+\cdots$$
555.2.a.j $$5$$ $$4.432$$ 5.5.600268.1 None None $$-3$$ $$-5$$ $$-5$$ $$2$$ $$-$$ $$q+(-1+\beta _{3})q^{2}-q^{3}+(2-\beta _{3}+\beta _{4})q^{4}+\cdots$$
555.2.c.a $$2$$ $$4.432$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+2iq^{2}+iq^{3}-2q^{4}+(-1+2i)q^{5}+\cdots$$
555.2.c.b $$8$$ $$4.432$$ 8.0.309760000.3 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{4}+\beta _{5})q^{2}-\beta _{5}q^{3}+(1-\beta _{1}+\cdots)q^{4}+\cdots$$
555.2.c.c $$26$$ $$4.432$$ None None $$0$$ $$0$$ $$-2$$ $$0$$
555.2.e.a $$2$$ $$4.432$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$0$$ $$-8$$ $$q-q^{3}+2q^{4}+iq^{5}-4q^{7}+q^{9}+2q^{11}+\cdots$$
555.2.e.b $$10$$ $$4.432$$ 10.0.$$\cdots$$.1 None None $$0$$ $$10$$ $$0$$ $$16$$ $$q+\beta _{3}q^{2}+q^{3}+(-1+\beta _{1})q^{4}+\beta _{6}q^{5}+\cdots$$
555.2.e.c $$12$$ $$4.432$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$-12$$ $$0$$ $$8$$ $$q-\beta _{8}q^{2}-q^{3}+(-2-\beta _{7})q^{4}+\beta _{2}q^{5}+\cdots$$
555.2.g.a $$40$$ $$4.432$$ None None $$0$$ $$0$$ $$0$$ $$0$$
555.2.i.a $$2$$ $$4.432$$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$-1$$ $$1$$ $$-1$$ $$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{3}+\zeta_{6}q^{4}+\zeta_{6}q^{5}+\cdots$$
555.2.i.b $$4$$ $$4.432$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$-2$$ $$-2$$ $$2$$ $$2$$ $$q+(-1+\beta _{1}-\beta _{2})q^{2}+\beta _{2}q^{3}+(-2\beta _{1}+\cdots)q^{4}+\cdots$$
555.2.i.c $$4$$ $$4.432$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$-2$$ $$2$$ $$-2$$ $$q-\zeta_{12}^{2}q^{2}+(-1+\zeta_{12})q^{3}+(-1+\cdots)q^{4}+\cdots$$
555.2.i.d $$10$$ $$4.432$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$1$$ $$-5$$ $$-5$$ $$-1$$ $$q+(-\beta _{1}+\beta _{2})q^{2}-\beta _{6}q^{3}+(\beta _{3}-\beta _{6}+\cdots)q^{4}+\cdots$$
555.2.i.e $$14$$ $$4.432$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$-1$$ $$7$$ $$-7$$ $$5$$ $$q-\beta _{1}q^{2}-\beta _{5}q^{3}+(\beta _{4}+\beta _{5}+\beta _{7})q^{4}+\cdots$$
555.2.i.f $$14$$ $$4.432$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$-1$$ $$7$$ $$7$$ $$1$$ $$q-\beta _{1}q^{2}+\beta _{5}q^{3}+(\beta _{3}-\beta _{5}+\beta _{10}+\cdots)q^{4}+\cdots$$
555.2.j.a $$76$$ $$4.432$$ None None $$0$$ $$0$$ $$4$$ $$0$$
555.2.m.a $$16$$ $$4.432$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{3}-\beta _{10})q^{3}-2\beta _{9}q^{4}+(\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots$$
555.2.m.b $$128$$ $$4.432$$ None None $$0$$ $$0$$ $$0$$ $$0$$
555.2.n.a $$32$$ $$4.432$$ $$\Q(\sqrt{-111})$$ None $$0$$ $$0$$ $$0$$ $$0$$
555.2.n.b $$112$$ $$4.432$$ None None $$0$$ $$-8$$ $$0$$ $$-8$$
555.2.o.a $$144$$ $$4.432$$ None None $$0$$ $$0$$ $$0$$ $$-8$$
555.2.s.a $$104$$ $$4.432$$ None None $$0$$ $$0$$ $$0$$ $$0$$
555.2.t.a $$76$$ $$4.432$$ None None $$-4$$ $$0$$ $$-8$$ $$0$$
555.2.x.a $$80$$ $$4.432$$ None None $$0$$ $$0$$ $$-12$$ $$0$$
555.2.z.a $$20$$ $$4.432$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None None $$6$$ $$-10$$ $$0$$ $$2$$ $$q-\beta _{4}q^{2}+(-1-\beta _{2})q^{3}+(\beta _{1}-\beta _{4}+\cdots)q^{4}+\cdots$$
555.2.z.b $$28$$ $$4.432$$ None None $$6$$ $$14$$ $$0$$ $$-6$$
555.2.bb.a $$72$$ $$4.432$$ None None $$0$$ $$0$$ $$-2$$ $$0$$
555.2.bc.a $$6$$ $$4.432$$ $$\Q(\zeta_{18})$$ None None $$0$$ $$0$$ $$0$$ $$3$$ $$q-\zeta_{18}^{2}q^{3}+2\zeta_{18}^{5}q^{4}+(-\zeta_{18}^{2}+\cdots)q^{5}+\cdots$$
555.2.bc.b $$36$$ $$4.432$$ None None $$3$$ $$0$$ $$0$$ $$12$$
555.2.bc.c $$36$$ $$4.432$$ None None $$3$$ $$0$$ $$0$$ $$-6$$
555.2.bc.d $$36$$ $$4.432$$ None None $$3$$ $$0$$ $$0$$ $$0$$
555.2.bc.e $$42$$ $$4.432$$ None None $$3$$ $$0$$ $$0$$ $$-3$$
555.2.bd.a $$152$$ $$4.432$$ None None $$4$$ $$0$$ $$8$$ $$0$$
555.2.bg.a $$208$$ $$4.432$$ None None $$0$$ $$0$$ $$0$$ $$0$$
555.2.bh.a $$288$$ $$4.432$$ None None $$0$$ $$-4$$ $$0$$ $$-4$$
555.2.bi.a $$288$$ $$4.432$$ None None $$0$$ $$0$$ $$0$$ $$-4$$
555.2.bm.a $$288$$ $$4.432$$ None None $$0$$ $$0$$ $$0$$ $$0$$
555.2.bn.a $$152$$ $$4.432$$ None None $$0$$ $$0$$ $$-4$$ $$0$$
555.2.bp.a $$240$$ $$4.432$$ None None $$0$$ $$0$$ $$12$$ $$0$$
555.2.bs.a $$216$$ $$4.432$$ None None $$0$$ $$0$$ $$6$$ $$0$$
555.2.bt.a $$72$$ $$4.432$$ None None $$-6$$ $$0$$ $$0$$ $$-12$$