## Results (1-50 of 142 matches)

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
714.2.a.a $$1$$ $$5.701$$ $$\Q$$ None $$-1$$ $$-1$$ $$-2$$ $$1$$ $$+$$ $$q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}+q^{7}+\cdots$$
714.2.a.b $$1$$ $$5.701$$ $$\Q$$ None $$-1$$ $$-1$$ $$1$$ $$-1$$ $$-$$ $$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots$$
714.2.a.c $$1$$ $$5.701$$ $$\Q$$ None $$-1$$ $$-1$$ $$1$$ $$1$$ $$-$$ $$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$$
714.2.a.d $$1$$ $$5.701$$ $$\Q$$ None $$-1$$ $$-1$$ $$2$$ $$-1$$ $$+$$ $$q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}-q^{7}+\cdots$$
714.2.a.e $$1$$ $$5.701$$ $$\Q$$ None $$1$$ $$-1$$ $$-2$$ $$-1$$ $$+$$ $$q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}-q^{7}+\cdots$$
714.2.a.f $$1$$ $$5.701$$ $$\Q$$ None $$1$$ $$-1$$ $$-2$$ $$1$$ $$-$$ $$q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}+q^{7}+\cdots$$
714.2.a.g $$1$$ $$5.701$$ $$\Q$$ None $$1$$ $$-1$$ $$3$$ $$-1$$ $$-$$ $$q+q^{2}-q^{3}+q^{4}+3q^{5}-q^{6}-q^{7}+\cdots$$
714.2.a.h $$1$$ $$5.701$$ $$\Q$$ None $$1$$ $$-1$$ $$3$$ $$1$$ $$-$$ $$q+q^{2}-q^{3}+q^{4}+3q^{5}-q^{6}+q^{7}+\cdots$$
714.2.a.i $$1$$ $$5.701$$ $$\Q$$ None $$1$$ $$1$$ $$-3$$ $$1$$ $$-$$ $$q+q^{2}+q^{3}+q^{4}-3q^{5}+q^{6}+q^{7}+\cdots$$
714.2.a.j $$2$$ $$5.701$$ $$\Q(\sqrt{33})$$ None $$-2$$ $$2$$ $$-3$$ $$2$$ $$-$$ $$q-q^{2}+q^{3}+q^{4}+(-1-\beta )q^{5}-q^{6}+\cdots$$
714.2.a.k $$2$$ $$5.701$$ $$\Q(\sqrt{41})$$ None $$-2$$ $$2$$ $$1$$ $$-2$$ $$-$$ $$q-q^{2}+q^{3}+q^{4}+\beta q^{5}-q^{6}-q^{7}+\cdots$$
714.2.a.l $$2$$ $$5.701$$ $$\Q(\sqrt{17})$$ None $$2$$ $$2$$ $$3$$ $$-2$$ $$-$$ $$q+q^{2}+q^{3}+q^{4}+(1+\beta )q^{5}+q^{6}+\cdots$$
714.2.a.m $$2$$ $$5.701$$ $$\Q(\sqrt{6})$$ None $$2$$ $$2$$ $$4$$ $$2$$ $$-$$ $$q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots$$
714.2.b.a $$2$$ $$5.701$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+iq^{3}+q^{4}+3iq^{5}+iq^{6}+\cdots$$
714.2.b.b $$2$$ $$5.701$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+iq^{3}+q^{4}+3iq^{5}+iq^{6}+\cdots$$
714.2.b.c $$2$$ $$5.701$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+iq^{3}+q^{4}-2iq^{5}+iq^{6}+\cdots$$
714.2.b.d $$2$$ $$5.701$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+iq^{3}+q^{4}-2iq^{5}+iq^{6}+\cdots$$
714.2.b.e $$4$$ $$5.701$$ $$\Q(i, \sqrt{17})$$ None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}-\beta _{2}q^{3}+q^{4}+\beta _{1}q^{5}+\beta _{2}q^{6}+\cdots$$
714.2.b.f $$8$$ $$5.701$$ 8.0.$$\cdots$$.23 None $$-8$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}-\beta _{3}q^{3}+q^{4}+\beta _{6}q^{5}+\beta _{3}q^{6}+\cdots$$
714.2.e.a $$48$$ $$5.701$$ None $$0$$ $$0$$ $$0$$ $$0$$
714.2.f.a $$20$$ $$5.701$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q+\beta _{1}q^{2}+\beta _{9}q^{3}-q^{4}+\beta _{14}q^{5}+\beta _{6}q^{6}+\cdots$$
714.2.f.b $$20$$ $$5.701$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q-\beta _{1}q^{2}-\beta _{4}q^{3}-q^{4}-\beta _{14}q^{5}+\beta _{10}q^{6}+\cdots$$
714.2.i.a $$2$$ $$5.701$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-1$$ $$1$$ $$-4$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
714.2.i.b $$2$$ $$5.701$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-1$$ $$1$$ $$5$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
714.2.i.c $$2$$ $$5.701$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$1$$ $$-3$$ $$4$$ $$q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
714.2.i.d $$2$$ $$5.701$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$1$$ $$-1$$ $$-4$$ $$q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
714.2.i.e $$2$$ $$5.701$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$1$$ $$-1$$ $$1$$ $$q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
714.2.i.f $$2$$ $$5.701$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$1$$ $$3$$ $$5$$ $$q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
714.2.i.g $$2$$ $$5.701$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$-3$$ $$-4$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
714.2.i.h $$2$$ $$5.701$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$3$$ $$-4$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
714.2.i.i $$2$$ $$5.701$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$1$$ $$-1$$ $$-4$$ $$q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
714.2.i.j $$2$$ $$5.701$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$1$$ $$-1$$ $$1$$ $$q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
714.2.i.k $$2$$ $$5.701$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$1$$ $$-1$$ $$5$$ $$q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
714.2.i.l $$4$$ $$5.701$$ $$\Q(\sqrt{-3}, \sqrt{-19})$$ None $$-2$$ $$-2$$ $$-2$$ $$-3$$ $$q-\beta _{2}q^{2}+(-1+\beta _{2})q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots$$
714.2.i.m $$4$$ $$5.701$$ $$\Q(\sqrt{-3}, \sqrt{17})$$ None $$-2$$ $$-2$$ $$0$$ $$2$$ $$q-\beta _{2}q^{2}+(-1+\beta _{2})q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots$$
714.2.i.n $$4$$ $$5.701$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None $$2$$ $$-2$$ $$2$$ $$2$$ $$q+(1+\beta _{2})q^{2}+\beta _{2}q^{3}+\beta _{2}q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots$$
714.2.i.o $$6$$ $$5.701$$ 6.0.11337408.1 None $$3$$ $$3$$ $$3$$ $$-6$$ $$q+\beta _{2}q^{2}+(1-\beta _{2})q^{3}+(-1+\beta _{2})q^{4}+\cdots$$
714.2.k.a $$8$$ $$5.701$$ 8.0.40960000.1 None $$-8$$ $$0$$ $$0$$ $$-8$$ $$q-q^{2}+(-\beta _{1}+\beta _{6}+\beta _{7})q^{3}+q^{4}+\cdots$$
714.2.k.b $$8$$ $$5.701$$ 8.0.40960000.1 None $$8$$ $$0$$ $$0$$ $$-8$$ $$q+q^{2}+(-\beta _{4}+\beta _{7})q^{3}+q^{4}+2\beta _{1}q^{5}+\cdots$$
714.2.k.c $$40$$ $$5.701$$ None $$-40$$ $$0$$ $$0$$ $$8$$
714.2.k.d $$40$$ $$5.701$$ None $$40$$ $$0$$ $$0$$ $$8$$
714.2.m.a $$4$$ $$5.701$$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$-8$$ $$0$$ $$q+\zeta_{8}^{2}q^{2}+\zeta_{8}q^{3}-q^{4}+(-2+\zeta_{8}+\cdots)q^{5}+\cdots$$
714.2.m.b $$4$$ $$5.701$$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{2}q^{2}+\zeta_{8}q^{3}-q^{4}-\zeta_{8}q^{5}-\zeta_{8}^{3}q^{6}+\cdots$$
714.2.m.c $$8$$ $$5.701$$ 8.0.836829184.2 None $$0$$ $$0$$ $$4$$ $$0$$ $$q+\beta _{5}q^{2}-\beta _{1}q^{3}-q^{4}+(1+\beta _{1}+\beta _{4}+\cdots)q^{5}+\cdots$$
714.2.m.d $$12$$ $$5.701$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+\beta _{7}q^{2}+\beta _{2}q^{3}-q^{4}+\beta _{6}q^{5}-\beta _{3}q^{6}+\cdots$$
714.2.m.e $$12$$ $$5.701$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{9}q^{2}+\beta _{5}q^{3}-q^{4}+(-\beta _{5}-\beta _{7}+\cdots)q^{5}+\cdots$$
714.2.p.a $$44$$ $$5.701$$ None $$0$$ $$0$$ $$0$$ $$10$$
714.2.p.b $$44$$ $$5.701$$ None $$0$$ $$0$$ $$0$$ $$10$$
714.2.q.a $$96$$ $$5.701$$ None $$0$$ $$0$$ $$0$$ $$0$$
714.2.t.a $$4$$ $$5.701$$ $$\Q(\zeta_{12})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{2}q^{2}+\zeta_{12}q^{3}+(-1+\zeta_{12}^{2}+\cdots)q^{4}+\cdots$$