## Results (1-50 of 74 matches)

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
483.2.a.a $$1$$ $$3.857$$ $$\Q$$ None $$2$$ $$1$$ $$0$$ $$1$$ $$-$$ $$q+2q^{2}+q^{3}+2q^{4}+2q^{6}+q^{7}+q^{9}+\cdots$$
483.2.a.b $$1$$ $$3.857$$ $$\Q$$ None $$2$$ $$1$$ $$4$$ $$-1$$ $$-$$ $$q+2q^{2}+q^{3}+2q^{4}+4q^{5}+2q^{6}+\cdots$$
483.2.a.c $$2$$ $$3.857$$ $$\Q(\sqrt{5})$$ None $$-3$$ $$2$$ $$-5$$ $$2$$ $$+$$ $$q+(-1-\beta )q^{2}+q^{3}+3\beta q^{4}+(-2+\cdots)q^{5}+\cdots$$
483.2.a.d $$2$$ $$3.857$$ $$\Q(\sqrt{5})$$ None $$-1$$ $$-2$$ $$1$$ $$-2$$ $$+$$ $$q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(1-\beta )q^{5}+\cdots$$
483.2.a.e $$2$$ $$3.857$$ $$\Q(\sqrt{5})$$ None $$-1$$ $$2$$ $$5$$ $$2$$ $$-$$ $$q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}+(3-\beta )q^{5}+\cdots$$
483.2.a.f $$2$$ $$3.857$$ $$\Q(\sqrt{13})$$ None $$-1$$ $$2$$ $$-5$$ $$-2$$ $$+$$ $$q-\beta q^{2}+q^{3}+(1+\beta )q^{4}+(-3+\beta )q^{5}+\cdots$$
483.2.a.g $$2$$ $$3.857$$ $$\Q(\sqrt{5})$$ None $$1$$ $$-2$$ $$-3$$ $$2$$ $$+$$ $$q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(-1-\beta )q^{5}+\cdots$$
483.2.a.h $$3$$ $$3.857$$ 3.3.837.1 None $$0$$ $$3$$ $$3$$ $$-3$$ $$-$$ $$q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots$$
483.2.a.i $$4$$ $$3.857$$ 4.4.24197.1 None $$0$$ $$-4$$ $$5$$ $$4$$ $$-$$ $$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{3})q^{5}+\cdots$$
483.2.a.j $$4$$ $$3.857$$ 4.4.15317.1 None $$2$$ $$-4$$ $$5$$ $$-4$$ $$-$$ $$q+\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(2+\cdots)q^{5}+\cdots$$
483.2.d.a $$4$$ $$3.857$$ $$\Q(i, \sqrt{5})$$ None $$0$$ $$-2$$ $$-6$$ $$6$$ $$q+\beta _{1}q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+(1+\beta _{2}+\cdots)q^{4}+\cdots$$
483.2.d.b $$4$$ $$3.857$$ $$\Q(i, \sqrt{5})$$ None $$0$$ $$2$$ $$6$$ $$6$$ $$q+\beta _{1}q^{2}+(1-\beta _{1}+\beta _{2})q^{3}+(1+\beta _{2}+\cdots)q^{4}+\cdots$$
483.2.d.c $$8$$ $$3.857$$ $$\Q(\zeta_{16})$$ None $$0$$ $$0$$ $$0$$ $$-8$$ $$q-\zeta_{16}^{4}q^{2}+(\zeta_{16}+\zeta_{16}^{5}+\zeta_{16}^{7})q^{3}+\cdots$$
483.2.d.d $$44$$ $$3.857$$ None $$0$$ $$0$$ $$0$$ $$-8$$
483.2.e.a $$48$$ $$3.857$$ None $$0$$ $$-4$$ $$0$$ $$0$$
483.2.h.a $$8$$ $$3.857$$ 8.0.342102016.5 None $$-8$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}-\beta _{1}q^{3}-q^{4}+(\beta _{4}-\beta _{5})q^{5}+\cdots$$
483.2.h.b $$12$$ $$3.857$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{8}q^{2}-\beta _{5}q^{3}+(1-\beta _{7})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots$$
483.2.h.c $$12$$ $$3.857$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$4$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}+\beta _{9}q^{3}+(3+\beta _{7})q^{4}-\beta _{5}q^{5}+\cdots$$
483.2.i.a $$2$$ $$3.857$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$1$$ $$q+(-1+\zeta_{6})q^{3}+(2-2\zeta_{6})q^{4}+(2-3\zeta_{6})q^{7}+\cdots$$
483.2.i.b $$2$$ $$3.857$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$5$$ $$q+(-1+\zeta_{6})q^{3}+(2-2\zeta_{6})q^{4}+(2+\zeta_{6})q^{7}+\cdots$$
483.2.i.c $$2$$ $$3.857$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$-1$$ $$-5$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(1-\zeta_{6})q^{4}+\cdots$$
483.2.i.d $$2$$ $$3.857$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$3$$ $$-1$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(1-\zeta_{6})q^{4}+\cdots$$
483.2.i.e $$4$$ $$3.857$$ $$\Q(\sqrt{-3}, \sqrt{17})$$ None $$1$$ $$-2$$ $$1$$ $$10$$ $$q+\beta _{1}q^{2}+(-1+\beta _{2})q^{3}+(-2+\beta _{1}+\cdots)q^{4}+\cdots$$
483.2.i.f $$12$$ $$3.857$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$1$$ $$6$$ $$-3$$ $$-2$$ $$q+(-\beta _{1}-\beta _{5})q^{2}+\beta _{7}q^{3}+(1+\beta _{4}+\cdots)q^{4}+\cdots$$
483.2.i.g $$16$$ $$3.857$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$-1$$ $$-8$$ $$-5$$ $$-2$$ $$q+(\beta _{1}-\beta _{5})q^{2}+(-1-\beta _{4})q^{3}+(-2+\cdots)q^{4}+\cdots$$
483.2.i.h $$20$$ $$3.857$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$-3$$ $$10$$ $$5$$ $$0$$ $$q+(\beta _{1}+\beta _{4})q^{2}-\beta _{9}q^{3}+(-\beta _{1}-\beta _{8}+\cdots)q^{4}+\cdots$$
483.2.j.a $$64$$ $$3.857$$ None $$4$$ $$0$$ $$0$$ $$0$$
483.2.m.a $$120$$ $$3.857$$ None $$0$$ $$-2$$ $$0$$ $$0$$
483.2.n.a $$116$$ $$3.857$$ None $$0$$ $$0$$ $$0$$ $$-10$$
483.2.q.a $$10$$ $$3.857$$ $$\Q(\zeta_{22})$$ None $$4$$ $$-1$$ $$1$$ $$-1$$ $$q+(-\zeta_{22}^{2}+\zeta_{22}^{3}+\zeta_{22}^{5}-\zeta_{22}^{6}+\cdots)q^{2}+\cdots$$
483.2.q.b $$10$$ $$3.857$$ $$\Q(\zeta_{22})$$ None $$5$$ $$-1$$ $$-5$$ $$-1$$ $$q+(\zeta_{22}-\zeta_{22}^{2}-\zeta_{22}^{4}-\zeta_{22}^{6}+\zeta_{22}^{7}+\cdots)q^{2}+\cdots$$
483.2.q.c $$20$$ $$3.857$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$-4$$ $$-2$$ $$-1$$ $$-2$$ $$q+(-\beta _{2}-\beta _{6})q^{2}+\beta _{12}q^{3}+(-\beta _{5}+\cdots)q^{4}+\cdots$$
483.2.q.d $$60$$ $$3.857$$ None $$-1$$ $$6$$ $$-13$$ $$-6$$
483.2.q.e $$60$$ $$3.857$$ None $$-1$$ $$6$$ $$5$$ $$6$$
483.2.q.f $$80$$ $$3.857$$ None $$1$$ $$-8$$ $$13$$ $$8$$
483.2.r.a $$320$$ $$3.857$$ None $$4$$ $$0$$ $$0$$ $$0$$
483.2.u.a $$480$$ $$3.857$$ None $$0$$ $$4$$ $$0$$ $$0$$
483.2.v.a $$600$$ $$3.857$$ None $$0$$ $$0$$ $$0$$ $$-18$$
483.2.y.a $$320$$ $$3.857$$ None $$2$$ $$-16$$ $$-2$$ $$2$$
483.2.y.b $$320$$ $$3.857$$ None $$2$$ $$16$$ $$-2$$ $$2$$
483.2.bb.a $$1200$$ $$3.857$$ None $$0$$ $$-27$$ $$0$$ $$-36$$
483.2.bc.a $$1200$$ $$3.857$$ None $$0$$ $$-9$$ $$0$$ $$-44$$
483.2.bf.a $$640$$ $$3.857$$ None $$-4$$ $$0$$ $$0$$ $$0$$
483.3.b.a $$88$$ $$13.161$$ None $$0$$ $$8$$ $$0$$ $$0$$
483.3.f.a $$48$$ $$13.161$$ None $$4$$ $$0$$ $$0$$ $$0$$
483.3.g.a $$60$$ $$13.161$$ None $$0$$ $$0$$ $$0$$ $$-16$$
483.4.a.a $$3$$ $$28.498$$ 3.3.3877.1 None $$-4$$ $$9$$ $$2$$ $$-21$$ $$-$$ $$q+(-1-\beta _{1})q^{2}+3q^{3}+(1+4\beta _{1}+\beta _{2})q^{4}+\cdots$$
483.4.a.b $$4$$ $$28.498$$ 4.4.8184789.1 None $$2$$ $$12$$ $$-23$$ $$-28$$ $$-$$ $$q+(1+\beta _{1})q^{2}+3q^{3}+(3+\beta _{1})q^{4}+(-6+\cdots)q^{5}+\cdots$$
483.4.a.c $$7$$ $$28.498$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None $$-6$$ $$21$$ $$-41$$ $$49$$ $$-$$ $$q+(-1+\beta _{1})q^{2}+3q^{3}+(3-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
483.4.a.d $$7$$ $$28.498$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None $$-2$$ $$-21$$ $$-11$$ $$-49$$ $$-$$ $$q-\beta _{1}q^{2}-3q^{3}+(3+\beta _{4}+\beta _{5})q^{4}+\cdots$$