## Results (1-50 of 153 matches)

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
370.2.a.a $$1$$ $$2.954$$ $$\Q$$ None $$-1$$ $$-2$$ $$-1$$ $$-1$$ $$-$$ $$q-q^{2}-2q^{3}+q^{4}-q^{5}+2q^{6}-q^{7}+\cdots$$
370.2.a.b $$1$$ $$2.954$$ $$\Q$$ None $$-1$$ $$0$$ $$-1$$ $$0$$ $$+$$ $$q-q^{2}+q^{4}-q^{5}-q^{8}-3q^{9}+q^{10}+\cdots$$
370.2.a.c $$1$$ $$2.954$$ $$\Q$$ None $$-1$$ $$2$$ $$1$$ $$1$$ $$-$$ $$q-q^{2}+2q^{3}+q^{4}+q^{5}-2q^{6}+q^{7}+\cdots$$
370.2.a.d $$1$$ $$2.954$$ $$\Q$$ None $$1$$ $$-2$$ $$1$$ $$2$$ $$-$$ $$q+q^{2}-2q^{3}+q^{4}+q^{5}-2q^{6}+2q^{7}+\cdots$$
370.2.a.e $$2$$ $$2.954$$ $$\Q(\sqrt{3})$$ None $$-2$$ $$-2$$ $$2$$ $$-6$$ $$+$$ $$q-q^{2}+(-1+\beta )q^{3}+q^{4}+q^{5}+(1+\cdots)q^{6}+\cdots$$
370.2.a.f $$2$$ $$2.954$$ $$\Q(\sqrt{33})$$ None $$2$$ $$4$$ $$2$$ $$-3$$ $$-$$ $$q+q^{2}+2q^{3}+q^{4}+q^{5}+2q^{6}+(-1+\cdots)q^{7}+\cdots$$
370.2.a.g $$3$$ $$2.954$$ 3.3.892.1 None $$3$$ $$0$$ $$-3$$ $$-1$$ $$-$$ $$q+q^{2}-\beta _{2}q^{3}+q^{4}-q^{5}-\beta _{2}q^{6}+\cdots$$
370.2.b.a $$2$$ $$2.954$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+iq^{2}-q^{4}+(-2-i)q^{5}-2iq^{7}+\cdots$$
370.2.b.b $$2$$ $$2.954$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+iq^{2}-q^{4}+(1+2i)q^{5}+iq^{7}-iq^{8}+\cdots$$
370.2.b.c $$4$$ $$2.954$$ $$\Q(i, \sqrt{6})$$ None $$0$$ $$0$$ $$-8$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{2}q^{3}-q^{4}+(-2+\beta _{1}+\cdots)q^{5}+\cdots$$
370.2.b.d $$10$$ $$2.954$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None $$0$$ $$0$$ $$6$$ $$0$$ $$q-\beta _{2}q^{2}+(\beta _{4}-\beta _{5})q^{3}-q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots$$
370.2.c.a $$10$$ $$2.954$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None $$-10$$ $$0$$ $$-3$$ $$0$$ $$q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{3}q^{5}-\beta _{1}q^{6}+\cdots$$
370.2.c.b $$10$$ $$2.954$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None $$10$$ $$0$$ $$3$$ $$0$$ $$q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{3}q^{5}+\beta _{1}q^{6}+\cdots$$
370.2.d.a $$2$$ $$2.954$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+iq^{2}-q^{4}+iq^{5}-2q^{7}-iq^{8}+\cdots$$
370.2.d.b $$2$$ $$2.954$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$10$$ $$q+iq^{2}-q^{4}+iq^{5}+5q^{7}-iq^{8}+\cdots$$
370.2.d.c $$6$$ $$2.954$$ 6.0.399424.1 None $$0$$ $$-4$$ $$0$$ $$10$$ $$q+\beta _{2}q^{2}+(-1-\beta _{1}-\beta _{3})q^{3}-q^{4}+\cdots$$
370.2.e.a $$2$$ $$2.954$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-2$$ $$-1$$ $$0$$ $$q+(1-\zeta_{6})q^{2}-2\zeta_{6}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+\cdots$$
370.2.e.b $$2$$ $$2.954$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$1$$ $$-2$$ $$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\cdots$$
370.2.e.c $$2$$ $$2.954$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$3$$ $$1$$ $$0$$ $$q+(1-\zeta_{6})q^{2}+3\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\cdots$$
370.2.e.d $$4$$ $$2.954$$ $$\Q(\zeta_{12})$$ None $$-2$$ $$2$$ $$-2$$ $$0$$ $$q+(-1+\zeta_{12})q^{2}+\zeta_{12}q^{3}-\zeta_{12}q^{4}+\cdots$$
370.2.e.e $$4$$ $$2.954$$ $$\Q(\sqrt{-3}, \sqrt{10})$$ None $$2$$ $$2$$ $$-2$$ $$-4$$ $$q-\beta _{2}q^{2}+(1+\beta _{2})q^{3}+(-1-\beta _{2})q^{4}+\cdots$$
370.2.e.f $$6$$ $$2.954$$ 6.0.2696112.1 None $$-3$$ $$0$$ $$3$$ $$-2$$ $$q-\beta _{4}q^{2}+\beta _{5}q^{3}+(-1+\beta _{4})q^{4}+(1+\cdots)q^{5}+\cdots$$
370.2.g.a $$2$$ $$2.954$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$-2$$ $$4$$ $$2$$ $$q+iq^{2}+(-1-i)q^{3}-q^{4}+(2+i)q^{5}+\cdots$$
370.2.g.b $$2$$ $$2.954$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-4$$ $$-4$$ $$q+iq^{2}-q^{4}+(-2+i)q^{5}+(-2-2i)q^{7}+\cdots$$
370.2.g.c $$4$$ $$2.954$$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$0$$ $$8$$ $$q+\zeta_{8}^{2}q^{2}+2\zeta_{8}q^{3}-q^{4}+(2\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots$$
370.2.g.d $$10$$ $$2.954$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None $$0$$ $$-2$$ $$2$$ $$-4$$ $$q-\beta _{6}q^{2}+(-\beta _{2}-\beta _{3}-\beta _{8})q^{3}-q^{4}+\cdots$$
370.2.g.e $$20$$ $$2.954$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$0$$ $$-4$$ $$2$$ $$-2$$ $$q-\beta _{10}q^{2}-\beta _{1}q^{3}-q^{4}-\beta _{8}q^{5}+\beta _{4}q^{6}+\cdots$$
370.2.h.a $$2$$ $$2.954$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$-2$$ $$-4$$ $$q+q^{2}+q^{4}+(-1+2i)q^{5}+(-2+2i)q^{7}+\cdots$$
370.2.h.b $$2$$ $$2.954$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$2$$ $$-2$$ $$2$$ $$q+q^{2}+(1-i)q^{3}+q^{4}+(-1-2i)q^{5}+\cdots$$
370.2.h.c $$4$$ $$2.954$$ $$\Q(\zeta_{8})$$ None $$4$$ $$0$$ $$0$$ $$8$$ $$q+q^{2}+2\zeta_{8}q^{3}+q^{4}+(-\zeta_{8}-2\zeta_{8}^{3})q^{5}+\cdots$$
370.2.h.d $$10$$ $$2.954$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None $$10$$ $$2$$ $$2$$ $$-4$$ $$q+q^{2}+(\beta _{1}-\beta _{4})q^{3}+q^{4}+(-\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots$$
370.2.h.e $$20$$ $$2.954$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$-20$$ $$4$$ $$-4$$ $$-2$$ $$q-q^{2}-\beta _{4}q^{3}+q^{4}+\beta _{13}q^{5}+\beta _{4}q^{6}+\cdots$$
370.2.l.a $$4$$ $$2.954$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q+\zeta_{12}q^{2}+(-\zeta_{12}-\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots$$
370.2.l.b $$4$$ $$2.954$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q+\zeta_{12}q^{2}+(\zeta_{12}+\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots$$
370.2.l.c $$12$$ $$2.954$$ 12.0.$$\cdots$$.2 None $$0$$ $$4$$ $$0$$ $$2$$ $$q-\beta _{2}q^{2}+(1-\beta _{6}+\beta _{10})q^{3}+(1-\beta _{6}+\cdots)q^{4}+\cdots$$
370.2.m.a $$4$$ $$2.954$$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None $$-2$$ $$-3$$ $$-6$$ $$-12$$ $$q-\beta _{2}q^{2}+(-1+\beta _{1})q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots$$
370.2.m.b $$4$$ $$2.954$$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None $$2$$ $$3$$ $$-3$$ $$12$$ $$q+\beta _{2}q^{2}+(1-\beta _{1})q^{3}+(-1+\beta _{2})q^{4}+\cdots$$
370.2.m.c $$16$$ $$2.954$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$-8$$ $$3$$ $$6$$ $$12$$ $$q+(-1-\beta _{1})q^{2}+\beta _{10}q^{3}+\beta _{1}q^{4}+\cdots$$
370.2.m.d $$16$$ $$2.954$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$8$$ $$-3$$ $$0$$ $$-12$$ $$q+(1+\beta _{1})q^{2}-\beta _{10}q^{3}+\beta _{1}q^{4}+\beta _{8}q^{5}+\cdots$$
370.2.n.a $$4$$ $$2.954$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$-8$$ $$-6$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(-2+\zeta_{12}^{3})q^{5}+\cdots$$
370.2.n.b $$4$$ $$2.954$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(-\zeta_{12}+2\zeta_{12}^{2}+\cdots)q^{5}+\cdots$$
370.2.n.c $$4$$ $$2.954$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$4$$ $$6$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(2-\zeta_{12}-2\zeta_{12}^{2}+\cdots)q^{5}+\cdots$$
370.2.n.d $$4$$ $$2.954$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+\zeta_{12}q^{2}+(3\zeta_{12}-3\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots$$
370.2.n.e $$8$$ $$2.954$$ 8.0.303595776.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{2}-2\beta _{5}q^{3}-\beta _{4}q^{4}+(\beta _{1}+\beta _{5}+\cdots)q^{5}+\cdots$$
370.2.n.f $$12$$ $$2.954$$ 12.0.$$\cdots$$.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{2}+(\beta _{5}-\beta _{6}-\beta _{7}+\beta _{9})q^{3}+\cdots$$
370.2.o.a $$18$$ $$2.954$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$-3$$ $$q-\beta _{7}q^{2}+(-\beta _{2}+\beta _{8}-\beta _{17})q^{3}+\beta _{6}q^{4}+\cdots$$
370.2.o.b $$18$$ $$2.954$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$-9$$ $$q+\beta _{4}q^{2}+\beta _{8}q^{3}+(-\beta _{10}+\beta _{11})q^{4}+\cdots$$
370.2.o.c $$24$$ $$2.954$$ None $$0$$ $$0$$ $$0$$ $$-3$$
370.2.o.d $$24$$ $$2.954$$ None $$0$$ $$0$$ $$0$$ $$-9$$
370.2.q.a $$4$$ $$2.954$$ $$\Q(\zeta_{12})$$ None $$-2$$ $$4$$ $$-4$$ $$4$$ $$q-\zeta_{12}^{2}q^{2}+(1+\zeta_{12}-\zeta_{12}^{3})q^{3}+\cdots$$