## Results (1-50 of 222 matches)

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
342.2.a.a $$1$$ $$2.731$$ $$\Q$$ None $$-1$$ $$0$$ $$-2$$ $$0$$ $$+$$ $$q-q^{2}+q^{4}-2q^{5}-q^{8}+2q^{10}-2q^{11}+\cdots$$
342.2.a.b $$1$$ $$2.731$$ $$\Q$$ None $$-1$$ $$0$$ $$-2$$ $$0$$ $$-$$ $$q-q^{2}+q^{4}-2q^{5}-q^{8}+2q^{10}+4q^{11}+\cdots$$
342.2.a.c $$1$$ $$2.731$$ $$\Q$$ None $$-1$$ $$0$$ $$0$$ $$-4$$ $$+$$ $$q-q^{2}+q^{4}-4q^{7}-q^{8}-4q^{13}+4q^{14}+\cdots$$
342.2.a.d $$1$$ $$2.731$$ $$\Q$$ None $$-1$$ $$0$$ $$4$$ $$3$$ $$-$$ $$q-q^{2}+q^{4}+4q^{5}+3q^{7}-q^{8}-4q^{10}+\cdots$$
342.2.a.e $$1$$ $$2.731$$ $$\Q$$ None $$1$$ $$0$$ $$0$$ $$-1$$ $$-$$ $$q+q^{2}+q^{4}-q^{7}+q^{8}+6q^{11}+5q^{13}+\cdots$$
342.2.a.f $$1$$ $$2.731$$ $$\Q$$ None $$1$$ $$0$$ $$0$$ $$4$$ $$-$$ $$q+q^{2}+q^{4}+4q^{7}+q^{8}-4q^{11}+4q^{14}+\cdots$$
342.2.a.g $$1$$ $$2.731$$ $$\Q$$ None $$1$$ $$0$$ $$2$$ $$0$$ $$-$$ $$q+q^{2}+q^{4}+2q^{5}+q^{8}+2q^{10}+2q^{11}+\cdots$$
342.2.b.a $$2$$ $$2.731$$ $$\Q(\sqrt{-2})$$ None $$-2$$ $$0$$ $$0$$ $$4$$ $$q-q^{2}+q^{4}+\beta q^{5}+2q^{7}-q^{8}-\beta q^{10}+\cdots$$
342.2.b.b $$2$$ $$2.731$$ $$\Q(\sqrt{-2})$$ None $$2$$ $$0$$ $$0$$ $$4$$ $$q+q^{2}+q^{4}+\beta q^{5}+2q^{7}+q^{8}+\beta q^{10}+\cdots$$
342.2.e.a $$6$$ $$2.731$$ 6.0.309123.1 None $$-3$$ $$2$$ $$0$$ $$4$$ $$q+(-1-\beta _{4})q^{2}+(\beta _{1}+\beta _{2}-\beta _{5})q^{3}+\cdots$$
342.2.e.b $$6$$ $$2.731$$ $$\Q(\zeta_{18})$$ None $$3$$ $$0$$ $$0$$ $$6$$ $$q+(1-\zeta_{18})q^{2}+(\zeta_{18}^{2}+\zeta_{18}^{5})q^{3}+\cdots$$
342.2.e.c $$12$$ $$2.731$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$-6$$ $$2$$ $$0$$ $$-6$$ $$q+(-1+\beta _{6})q^{2}+\beta _{10}q^{3}-\beta _{6}q^{4}+\cdots$$
342.2.e.d $$12$$ $$2.731$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$6$$ $$0$$ $$0$$ $$-4$$ $$q+(1-\beta _{7})q^{2}+(\beta _{1}-\beta _{9})q^{3}-\beta _{7}q^{4}+\cdots$$
342.2.f.a $$2$$ $$2.731$$ $$\Q(\sqrt{-3})$$ None $$2$$ $$-3$$ $$0$$ $$-4$$ $$q+q^{2}+(-1-\zeta_{6})q^{3}+q^{4}+(-1-\zeta_{6})q^{6}+\cdots$$
342.2.f.b $$2$$ $$2.731$$ $$\Q(\sqrt{-3})$$ None $$2$$ $$0$$ $$-3$$ $$1$$ $$q+q^{2}+(1-2\zeta_{6})q^{3}+q^{4}-3\zeta_{6}q^{5}+\cdots$$
342.2.f.c $$2$$ $$2.731$$ $$\Q(\sqrt{-3})$$ None $$2$$ $$0$$ $$1$$ $$3$$ $$q+q^{2}+(-1+2\zeta_{6})q^{3}+q^{4}+\zeta_{6}q^{5}+\cdots$$
342.2.f.d $$2$$ $$2.731$$ $$\Q(\sqrt{-3})$$ None $$2$$ $$3$$ $$-2$$ $$0$$ $$q+q^{2}+(2-\zeta_{6})q^{3}+q^{4}-2\zeta_{6}q^{5}+\cdots$$
342.2.f.e $$4$$ $$2.731$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None $$4$$ $$-4$$ $$6$$ $$2$$ $$q+q^{2}+(-1+\beta _{3})q^{3}+q^{4}+3\beta _{2}q^{5}+\cdots$$
342.2.f.f $$10$$ $$2.731$$ 10.0.$$\cdots$$.1 None $$10$$ $$2$$ $$-2$$ $$-5$$ $$q+q^{2}+(\beta _{1}+\beta _{8})q^{3}+q^{4}+(-\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots$$
342.2.f.g $$18$$ $$2.731$$ $$\mathbb{Q}[x]/(x^{18} + \cdots)$$ None $$-18$$ $$0$$ $$0$$ $$5$$ $$q-q^{2}-\beta _{9}q^{3}+q^{4}+(\beta _{4}-\beta _{16})q^{5}+\cdots$$
342.2.g.a $$2$$ $$2.731$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$-2$$ $$6$$ $$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-2+2\zeta_{6})q^{5}+\cdots$$
342.2.g.b $$2$$ $$2.731$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$0$$ $$-8$$ $$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}-4q^{7}+q^{8}+\cdots$$
342.2.g.c $$2$$ $$2.731$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$0$$ $$2$$ $$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+q^{7}+q^{8}+\cdots$$
342.2.g.d $$2$$ $$2.731$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$-4$$ $$-6$$ $$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-4+4\zeta_{6})q^{5}+\cdots$$
342.2.g.e $$2$$ $$2.731$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$2$$ $$6$$ $$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(2-2\zeta_{6})q^{5}+\cdots$$
342.2.g.f $$4$$ $$2.731$$ $$\Q(\sqrt{-3}, \sqrt{7})$$ None $$2$$ $$0$$ $$2$$ $$4$$ $$q+(1+\beta _{2})q^{2}+\beta _{2}q^{4}+(1+\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots$$
342.2.h.a $$2$$ $$2.731$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-3$$ $$-2$$ $$3$$ $$q-\zeta_{6}q^{2}+(-2+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
342.2.h.b $$2$$ $$2.731$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$4$$ $$0$$ $$q-\zeta_{6}q^{2}+(1-2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
342.2.h.c $$2$$ $$2.731$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$3$$ $$0$$ $$-4$$ $$q-\zeta_{6}q^{2}+(1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
342.2.h.d $$2$$ $$2.731$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$3$$ $$6$$ $$1$$ $$q-\zeta_{6}q^{2}+(2-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
342.2.h.e $$4$$ $$2.731$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None $$-2$$ $$2$$ $$-12$$ $$2$$ $$q-\beta _{2}q^{2}+(-\beta _{1}+\beta _{2}+\beta _{3})q^{3}+(-1+\cdots)q^{4}+\cdots$$
342.2.h.f $$10$$ $$2.731$$ 10.0.$$\cdots$$.1 None $$-5$$ $$-4$$ $$4$$ $$-5$$ $$q+\beta _{4}q^{2}-\beta _{3}q^{3}+(-1-\beta _{4})q^{4}+(-\beta _{5}+\cdots)q^{5}+\cdots$$
342.2.h.g $$18$$ $$2.731$$ $$\mathbb{Q}[x]/(x^{18} + \cdots)$$ None $$9$$ $$0$$ $$0$$ $$5$$ $$q+\beta _{8}q^{2}+(\beta _{1}+\beta _{9})q^{3}+(-1+\beta _{8}+\cdots)q^{4}+\cdots$$
342.2.j.a $$2$$ $$2.731$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-3$$ $$0$$ $$-1$$ $$q-\zeta_{6}q^{2}+(-2+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
342.2.j.b $$2$$ $$2.731$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-3$$ $$0$$ $$5$$ $$q+\zeta_{6}q^{2}+(-2+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
342.2.j.c $$2$$ $$2.731$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$0$$ $$-4$$ $$q+\zeta_{6}q^{2}+(1-2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
342.2.j.d $$8$$ $$2.731$$ 8.0.764411904.5 None $$4$$ $$0$$ $$0$$ $$-8$$ $$q-\beta _{3}q^{2}+(-\beta _{1}-\beta _{6})q^{3}+(-1-\beta _{3}+\cdots)q^{4}+\cdots$$
342.2.j.e $$8$$ $$2.731$$ 8.0.152695449.1 None $$4$$ $$5$$ $$0$$ $$6$$ $$q+(1+\beta _{6})q^{2}+(1-\beta _{1}+\beta _{4}+\beta _{5}+\beta _{6}+\cdots)q^{3}+\cdots$$
342.2.j.f $$18$$ $$2.731$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None $$-9$$ $$4$$ $$0$$ $$0$$ $$q+\beta _{9}q^{2}+(\beta _{1}+\beta _{14})q^{3}+(-1-\beta _{9}+\cdots)q^{4}+\cdots$$
342.2.n.a $$2$$ $$2.731$$ $$\Q(\sqrt{-3})$$ None $$-2$$ $$0$$ $$-3$$ $$-1$$ $$q-q^{2}+(1-2\zeta_{6})q^{3}+q^{4}+(-2+\zeta_{6})q^{5}+\cdots$$
342.2.n.b $$2$$ $$2.731$$ $$\Q(\sqrt{-3})$$ None $$2$$ $$-3$$ $$-6$$ $$-4$$ $$q+q^{2}+(-2+\zeta_{6})q^{3}+q^{4}+(-4+2\zeta_{6})q^{5}+\cdots$$
342.2.n.c $$2$$ $$2.731$$ $$\Q(\sqrt{-3})$$ None $$2$$ $$0$$ $$3$$ $$5$$ $$q+q^{2}+(1-2\zeta_{6})q^{3}+q^{4}+(2-\zeta_{6})q^{5}+\cdots$$
342.2.n.d $$8$$ $$2.731$$ 8.0.764411904.5 None $$8$$ $$0$$ $$12$$ $$-8$$ $$q+q^{2}+(-\beta _{1}+\beta _{4})q^{3}+q^{4}+(1+\beta _{2}+\cdots)q^{5}+\cdots$$
342.2.n.e $$8$$ $$2.731$$ 8.0.152695449.1 None $$8$$ $$4$$ $$-9$$ $$6$$ $$q+q^{2}+(\beta _{3}-\beta _{6})q^{3}+q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots$$
342.2.n.f $$18$$ $$2.731$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None $$-18$$ $$-1$$ $$3$$ $$0$$ $$q-q^{2}+\beta _{14}q^{3}+q^{4}-\beta _{10}q^{5}-\beta _{14}q^{6}+\cdots$$
342.2.p.a $$20$$ $$2.731$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$-10$$ $$1$$ $$0$$ $$2$$ $$q+\beta _{5}q^{2}+(-\beta _{1}+\beta _{9})q^{3}+(-1-\beta _{5}+\cdots)q^{4}+\cdots$$
342.2.p.b $$20$$ $$2.731$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$10$$ $$-1$$ $$0$$ $$2$$ $$q-\beta _{5}q^{2}+(\beta _{1}-\beta _{9})q^{3}+(-1-\beta _{5}+\cdots)q^{4}+\cdots$$
342.2.s.a $$4$$ $$2.731$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None $$-2$$ $$0$$ $$0$$ $$-4$$ $$q-\beta _{2}q^{2}+(-1+\beta _{2})q^{4}+(-\beta _{1}+\beta _{3})q^{5}+\cdots$$
342.2.s.b $$4$$ $$2.731$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None $$2$$ $$0$$ $$0$$ $$-4$$ $$q+\beta _{2}q^{2}+(-1+\beta _{2})q^{4}+(\beta _{1}-\beta _{3})q^{5}+\cdots$$
342.2.u.a $$6$$ $$2.731$$ $$\Q(\zeta_{18})$$ None $$0$$ $$0$$ $$-9$$ $$3$$ $$q-\zeta_{18}q^{2}+\zeta_{18}^{2}q^{4}+(-1+\zeta_{18}^{2}+\cdots)q^{5}+\cdots$$