## Results (1-50 of 153 matches)

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
462.2.a.a $$1$$ $$3.689$$ $$\Q$$ None $$-1$$ $$-1$$ $$-2$$ $$1$$ $$+$$ $$q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}+q^{7}+\cdots$$
462.2.a.b $$1$$ $$3.689$$ $$\Q$$ None $$-1$$ $$-1$$ $$0$$ $$-1$$ $$+$$ $$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{7}-q^{8}+\cdots$$
462.2.a.c $$1$$ $$3.689$$ $$\Q$$ None $$-1$$ $$-1$$ $$2$$ $$-1$$ $$-$$ $$q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}-q^{7}+\cdots$$
462.2.a.d $$1$$ $$3.689$$ $$\Q$$ None $$-1$$ $$1$$ $$0$$ $$-1$$ $$-$$ $$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots$$
462.2.a.e $$1$$ $$3.689$$ $$\Q$$ None $$1$$ $$-1$$ $$-4$$ $$1$$ $$+$$ $$q+q^{2}-q^{3}+q^{4}-4q^{5}-q^{6}+q^{7}+\cdots$$
462.2.a.f $$1$$ $$3.689$$ $$\Q$$ None $$1$$ $$1$$ $$0$$ $$1$$ $$-$$ $$q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots$$
462.2.a.g $$1$$ $$3.689$$ $$\Q$$ None $$1$$ $$1$$ $$2$$ $$-1$$ $$-$$ $$q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}-q^{7}+\cdots$$
462.2.a.h $$2$$ $$3.689$$ $$\Q(\sqrt{3})$$ None $$-2$$ $$2$$ $$0$$ $$2$$ $$-$$ $$q-q^{2}+q^{3}+q^{4}+\beta q^{5}-q^{6}+q^{7}+\cdots$$
462.2.c.a $$12$$ $$3.689$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$-12$$ $$4$$ $$0$$ $$0$$ $$q-q^{2}+\beta _{6}q^{3}+q^{4}-\beta _{11}q^{5}-\beta _{6}q^{6}+\cdots$$
462.2.c.b $$12$$ $$3.689$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$12$$ $$4$$ $$0$$ $$0$$ $$q+q^{2}+\beta _{6}q^{3}+q^{4}-\beta _{11}q^{5}+\beta _{6}q^{6}+\cdots$$
462.2.e.a $$8$$ $$3.689$$ 8.0.6679465984.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{1}q^{3}-q^{4}+(-\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots$$
462.2.e.b $$8$$ $$3.689$$ 8.0.6679465984.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+\beta _{1}q^{3}-q^{4}+(-\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots$$
462.2.g.a $$4$$ $$3.689$$ $$\Q(i, \sqrt{5})$$ None $$0$$ $$-2$$ $$-4$$ $$6$$ $$q+\beta _{2}q^{2}+(-1-\beta _{1})q^{3}-q^{4}+(-2+\cdots)q^{5}+\cdots$$
462.2.g.b $$4$$ $$3.689$$ $$\Q(i, \sqrt{6})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $$q-\beta _{2}q^{2}+\beta _{1}q^{3}-q^{4}+(\beta _{1}-\beta _{3})q^{5}+\cdots$$
462.2.g.c $$4$$ $$3.689$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$8$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{3}q^{3}-q^{4}+\zeta_{12}^{2}q^{6}+\cdots$$
462.2.g.d $$4$$ $$3.689$$ $$\Q(i, \sqrt{5})$$ None $$0$$ $$2$$ $$4$$ $$6$$ $$q-\beta _{2}q^{2}+(\beta _{2}+\beta _{3})q^{3}-q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$$
462.2.g.e $$8$$ $$3.689$$ 8.0.342102016.5 None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+\beta _{1}q^{2}-\beta _{7}q^{3}-q^{4}+(\beta _{4}-\beta _{5})q^{5}+\cdots$$
462.2.i.a $$2$$ $$3.689$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$-3$$ $$-5$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
462.2.i.b $$2$$ $$3.689$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$0$$ $$-4$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
462.2.i.c $$2$$ $$3.689$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$3$$ $$5$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
462.2.i.d $$2$$ $$3.689$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$1$$ $$0$$ $$4$$ $$q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
462.2.i.e $$4$$ $$3.689$$ $$\Q(\sqrt{-3}, \sqrt{7})$$ None $$2$$ $$2$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}+(1+\beta _{2})q^{3}+(-1-\beta _{2})q^{4}+\cdots$$
462.2.i.f $$6$$ $$3.689$$ 6.0.1156923.1 None $$-3$$ $$-3$$ $$0$$ $$0$$ $$q+(-1-\beta _{2})q^{2}+\beta _{2}q^{3}+\beta _{2}q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$$
462.2.i.g $$6$$ $$3.689$$ 6.0.21870000.1 None $$-3$$ $$3$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}+(1+\beta _{2})q^{3}+(-1-\beta _{2})q^{4}+\cdots$$
462.2.j.a $$4$$ $$3.689$$ $$\Q(\zeta_{10})$$ None $$-1$$ $$-1$$ $$3$$ $$1$$ $$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$$
462.2.j.b $$4$$ $$3.689$$ $$\Q(\zeta_{10})$$ None $$-1$$ $$1$$ $$-1$$ $$-1$$ $$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$$
462.2.j.c $$4$$ $$3.689$$ $$\Q(\zeta_{10})$$ None $$1$$ $$-1$$ $$5$$ $$1$$ $$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+\zeta_{10}^{2}q^{3}+\cdots$$
462.2.j.d $$4$$ $$3.689$$ $$\Q(\zeta_{10})$$ None $$1$$ $$1$$ $$-3$$ $$-1$$ $$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}-\zeta_{10}^{2}q^{3}+\cdots$$
462.2.j.e $$8$$ $$3.689$$ 8.0.484000000.9 None $$-2$$ $$-2$$ $$4$$ $$-2$$ $$q+\beta _{2}q^{2}+(-1-\beta _{2}-\beta _{3}+\beta _{5})q^{3}+\cdots$$
462.2.j.f $$8$$ $$3.689$$ 8.0.64000000.1 None $$-2$$ $$2$$ $$-6$$ $$2$$ $$q-\beta _{6}q^{2}+(1-\beta _{2}+\beta _{4}-\beta _{6})q^{3}-\beta _{2}q^{4}+\cdots$$
462.2.j.g $$8$$ $$3.689$$ 8.0.324000000.3 None $$2$$ $$-2$$ $$0$$ $$-2$$ $$q-\beta _{2}q^{2}+\beta _{6}q^{3}+\beta _{4}q^{4}+(-\beta _{1}-\beta _{5}+\cdots)q^{5}+\cdots$$
462.2.j.h $$8$$ $$3.689$$ 8.0.$$\cdots$$.8 None $$2$$ $$2$$ $$-2$$ $$2$$ $$q-\beta _{3}q^{2}-\beta _{2}q^{3}+(-1-\beta _{2}-\beta _{3}+\cdots)q^{4}+\cdots$$
462.2.k.a $$4$$ $$3.689$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$8$$ $$q+\zeta_{12}q^{2}+(-\zeta_{12}-\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots$$
462.2.k.b $$4$$ $$3.689$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$8$$ $$q+\zeta_{12}q^{2}+(\zeta_{12}+\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots$$
462.2.k.c $$4$$ $$3.689$$ $$\Q(\zeta_{12})$$ None $$0$$ $$6$$ $$0$$ $$2$$ $$q+\zeta_{12}q^{2}+(2-\zeta_{12}^{2})q^{3}+\zeta_{12}^{2}q^{4}+\cdots$$
462.2.k.d $$8$$ $$3.689$$ $$\Q(\zeta_{24})$$ None $$0$$ $$-12$$ $$0$$ $$4$$ $$q+(-\zeta_{24}+\zeta_{24}^{3})q^{2}+(-1-\zeta_{24}^{2}+\cdots)q^{3}+\cdots$$
462.2.k.e $$8$$ $$3.689$$ $$\Q(\zeta_{24})$$ None $$0$$ $$4$$ $$-4$$ $$0$$ $$q+(-\zeta_{24}^{2}+\zeta_{24}^{6})q^{2}+(-\zeta_{24}-\zeta_{24}^{2}+\cdots)q^{3}+\cdots$$
462.2.k.f $$8$$ $$3.689$$ $$\Q(\zeta_{24})$$ None $$0$$ $$8$$ $$4$$ $$0$$ $$q+(\zeta_{24}^{2}-\zeta_{24}^{6})q^{2}+(1-\zeta_{24}^{3}-\zeta_{24}^{6}+\cdots)q^{3}+\cdots$$
462.2.k.g $$20$$ $$3.689$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$0$$ $$-6$$ $$0$$ $$-6$$ $$q-\beta _{7}q^{2}-\beta _{12}q^{3}-\beta _{3}q^{4}+(2\beta _{6}+\beta _{7}+\cdots)q^{5}+\cdots$$
462.2.n.a $$4$$ $$3.689$$ $$\Q(\sqrt{-3}, \sqrt{-19})$$ None $$-2$$ $$-6$$ $$3$$ $$3$$ $$q-\beta _{2}q^{2}+(-1-\beta _{2})q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots$$
462.2.n.b $$4$$ $$3.689$$ $$\Q(\sqrt{-3}, \sqrt{-19})$$ None $$-2$$ $$6$$ $$-3$$ $$-3$$ $$q-\beta _{2}q^{2}+(1+\beta _{2})q^{3}+(-1+\beta _{2})q^{4}+\cdots$$
462.2.n.c $$4$$ $$3.689$$ $$\Q(\sqrt{-3}, \sqrt{-19})$$ None $$2$$ $$-6$$ $$3$$ $$-3$$ $$q+(1-\beta _{2})q^{2}+(-2+\beta _{2})q^{3}-\beta _{2}q^{4}+\cdots$$
462.2.n.d $$4$$ $$3.689$$ $$\Q(\sqrt{-3}, \sqrt{-19})$$ None $$2$$ $$6$$ $$-3$$ $$3$$ $$q+\beta _{2}q^{2}+(1+\beta _{2})q^{3}+(-1+\beta _{2})q^{4}+\cdots$$
462.2.n.e $$24$$ $$3.689$$ None $$-12$$ $$0$$ $$0$$ $$0$$
462.2.n.f $$24$$ $$3.689$$ None $$12$$ $$0$$ $$0$$ $$0$$
462.2.p.a $$16$$ $$3.689$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$0$$ $$0$$ $$12$$ $$-6$$ $$q-\beta _{11}q^{2}-\beta _{12}q^{3}-\beta _{13}q^{4}+(1+\beta _{8}+\cdots)q^{5}+\cdots$$
462.2.p.b $$16$$ $$3.689$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$0$$ $$0$$ $$12$$ $$6$$ $$q-\beta _{12}q^{2}+\beta _{11}q^{3}+(1+\beta _{13})q^{4}+\cdots$$
462.2.s.a $$128$$ $$3.689$$ None $$0$$ $$0$$ $$0$$ $$-4$$
462.2.u.a $$32$$ $$3.689$$ None $$0$$ $$0$$ $$-10$$ $$-10$$
462.2.u.b $$32$$ $$3.689$$ None $$0$$ $$0$$ $$10$$ $$-10$$