## Results (1-50 of 81 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
805.1.t.a $$2$$ $$0.402$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-115})$$ None $$0$$ $$0$$ $$-1$$ $$-1$$ $$q+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}-\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots$$
805.1.t.b $$2$$ $$0.402$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-115})$$ None $$0$$ $$0$$ $$1$$ $$1$$ $$q+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}+\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots$$
805.2.a.a $$1$$ $$6.428$$ $$\Q$$ None None $$-1$$ $$0$$ $$-1$$ $$-1$$ $$-$$ $$q-q^{2}-q^{4}-q^{5}-q^{7}+3q^{8}-3q^{9}+\cdots$$
805.2.a.b $$1$$ $$6.428$$ $$\Q$$ None None $$-1$$ $$0$$ $$-1$$ $$-1$$ $$-$$ $$q-q^{2}-q^{4}-q^{5}-q^{7}+3q^{8}-3q^{9}+\cdots$$
805.2.a.c $$1$$ $$6.428$$ $$\Q$$ None None $$2$$ $$-1$$ $$-1$$ $$-1$$ $$+$$ $$q+2q^{2}-q^{3}+2q^{4}-q^{5}-2q^{6}-q^{7}+\cdots$$
805.2.a.d $$1$$ $$6.428$$ $$\Q$$ None None $$2$$ $$3$$ $$-1$$ $$-1$$ $$-$$ $$q+2q^{2}+3q^{3}+2q^{4}-q^{5}+6q^{6}+\cdots$$
805.2.a.e $$2$$ $$6.428$$ $$\Q(\sqrt{5})$$ None None $$3$$ $$0$$ $$-2$$ $$-2$$ $$-$$ $$q+(1+\beta )q^{2}+(1-2\beta )q^{3}+3\beta q^{4}-q^{5}+\cdots$$
805.2.a.f $$3$$ $$6.428$$ $$\Q(\zeta_{14})^+$$ None None $$-2$$ $$0$$ $$-3$$ $$-3$$ $$+$$ $$q+(-1-\beta _{2})q^{2}+(-1+2\beta _{1}-\beta _{2})q^{3}+\cdots$$
805.2.a.g $$4$$ $$6.428$$ 4.4.2777.1 None None $$-2$$ $$-5$$ $$4$$ $$4$$ $$+$$ $$q+(-1+\beta _{3})q^{2}+(-1-\beta _{1})q^{3}+(1+\cdots)q^{4}+\cdots$$
805.2.a.h $$4$$ $$6.428$$ 4.4.22545.1 None None $$-1$$ $$0$$ $$-4$$ $$-4$$ $$-$$ $$q-\beta _{2}q^{2}+(\beta _{1}+\beta _{3})q^{3}+(3+\beta _{3})q^{4}+\cdots$$
805.2.a.i $$4$$ $$6.428$$ 4.4.7537.1 None None $$1$$ $$4$$ $$-4$$ $$4$$ $$-$$ $$q+\beta _{1}q^{2}+(1+\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots$$
805.2.a.j $$4$$ $$6.428$$ 4.4.2777.1 None None $$3$$ $$6$$ $$4$$ $$-4$$ $$-$$ $$q+(1-\beta _{1})q^{2}+(1+\beta _{3})q^{3}+(1-\beta _{1}+\cdots)q^{4}+\cdots$$
805.2.a.k $$5$$ $$6.428$$ 5.5.122821.1 None None $$-3$$ $$-6$$ $$5$$ $$-5$$ $$+$$ $$q+(-1+\beta _{1})q^{2}+(-1-\beta _{3})q^{3}+(\beta _{3}+\cdots)q^{4}+\cdots$$
805.2.a.l $$5$$ $$6.428$$ 5.5.255877.1 None None $$-1$$ $$-4$$ $$-5$$ $$5$$ $$+$$ $$q-\beta _{1}q^{2}+(-1-\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots$$
805.2.a.m $$8$$ $$6.428$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$1$$ $$7$$ $$8$$ $$8$$ $$-$$ $$q+\beta _{1}q^{2}+(1+\beta _{6})q^{3}+(1+\beta _{2})q^{4}+\cdots$$
805.2.c.a $$2$$ $$6.428$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+iq^{3}+2q^{4}+(2-i)q^{5}+iq^{7}+2q^{9}+\cdots$$
805.2.c.b $$24$$ $$6.428$$ None None $$0$$ $$0$$ $$-2$$ $$0$$
805.2.c.c $$42$$ $$6.428$$ None None $$0$$ $$0$$ $$2$$ $$0$$
805.2.d.a $$4$$ $$6.428$$ $$\Q(\sqrt{-5}, \sqrt{23})$$ $$\Q(\sqrt{-115})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2q^{4}-\beta _{2}q^{5}+(\beta _{1}-\beta _{2})q^{7}-3q^{9}+\cdots$$
805.2.d.b $$8$$ $$6.428$$ 8.0.40960000.1 None None $$0$$ $$-8$$ $$0$$ $$0$$ $$q+(\beta _{4}-\beta _{5})q^{2}-q^{3}-\beta _{2}q^{4}+(\beta _{3}+2\beta _{7})q^{5}+\cdots$$
805.2.d.c $$8$$ $$6.428$$ 8.0.40960000.1 None None $$0$$ $$8$$ $$0$$ $$0$$ $$q+(-\beta _{4}+\beta _{5})q^{2}+q^{3}-\beta _{2}q^{4}+(-2\beta _{3}+\cdots)q^{5}+\cdots$$
805.2.d.d $$12$$ $$6.428$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$-12$$ $$0$$ $$0$$ $$q-\beta _{3}q^{2}-q^{3}+(-2-\beta _{2})q^{4}-\beta _{1}q^{5}+\cdots$$
805.2.d.e $$12$$ $$6.428$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$12$$ $$0$$ $$0$$ $$q+\beta _{3}q^{2}+q^{3}+(-2-\beta _{2})q^{4}-\beta _{11}q^{5}+\cdots$$
805.2.d.f $$48$$ $$6.428$$ None None $$0$$ $$0$$ $$0$$ $$0$$
805.2.f.a $$32$$ $$6.428$$ None None $$-2$$ $$0$$ $$-32$$ $$-3$$
805.2.f.b $$32$$ $$6.428$$ None None $$-2$$ $$0$$ $$32$$ $$3$$
805.2.i.a $$2$$ $$6.428$$ $$\Q(\sqrt{-3})$$ None None $$-2$$ $$-2$$ $$1$$ $$-5$$ $$q-2\zeta_{6}q^{2}+(-2+2\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{4}+\cdots$$
805.2.i.b $$4$$ $$6.428$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$2$$ $$2$$ $$q+\beta _{1}q^{2}+(-\beta _{1}-\beta _{3})q^{3}+(1+\beta _{2}+\cdots)q^{5}+\cdots$$
805.2.i.c $$24$$ $$6.428$$ None None $$7$$ $$2$$ $$12$$ $$3$$
805.2.i.d $$26$$ $$6.428$$ None None $$5$$ $$2$$ $$-13$$ $$0$$
805.2.i.e $$30$$ $$6.428$$ None None $$-5$$ $$0$$ $$15$$ $$-3$$
805.2.i.f $$34$$ $$6.428$$ None None $$-5$$ $$2$$ $$-17$$ $$-1$$
805.2.k.a $$176$$ $$6.428$$ None None $$0$$ $$0$$ $$0$$ $$-8$$
805.2.l.a $$144$$ $$6.428$$ None None $$0$$ $$8$$ $$0$$ $$0$$
805.2.p.a $$64$$ $$6.428$$ None None $$2$$ $$0$$ $$-32$$ $$3$$
805.2.p.b $$64$$ $$6.428$$ None None $$2$$ $$0$$ $$32$$ $$-3$$
805.2.r.a $$8$$ $$6.428$$ 8.0.$$\cdots$$.4 $$\Q(\sqrt{-115})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2\beta _{3}q^{4}+(\beta _{4}+\beta _{5})q^{5}+\beta _{1}q^{7}+(3+\cdots)q^{9}+\cdots$$
805.2.r.b $$176$$ $$6.428$$ None None $$0$$ $$0$$ $$0$$ $$0$$
805.2.s.a $$4$$ $$6.428$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-2\zeta_{12}q^{3}+(-2+2\zeta_{12}^{2})q^{4}+(\zeta_{12}+\cdots)q^{5}+\cdots$$
805.2.s.b $$4$$ $$6.428$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+\zeta_{12}q^{2}+(2\zeta_{12}-2\zeta_{12}^{3})q^{3}-\zeta_{12}^{2}q^{4}+\cdots$$
805.2.s.c $$4$$ $$6.428$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+2\zeta_{12}q^{2}+(-2\zeta_{12}+2\zeta_{12}^{3})q^{3}+\cdots$$
805.2.s.d $$164$$ $$6.428$$ None None $$0$$ $$0$$ $$-4$$ $$0$$
805.2.u.a $$110$$ $$6.428$$ None None $$0$$ $$-2$$ $$11$$ $$-11$$
805.2.u.b $$110$$ $$6.428$$ None None $$4$$ $$2$$ $$-11$$ $$-11$$
805.2.u.c $$130$$ $$6.428$$ None None $$-2$$ $$-2$$ $$13$$ $$13$$
805.2.u.d $$130$$ $$6.428$$ None None $$2$$ $$2$$ $$-13$$ $$13$$
805.2.v.a $$352$$ $$6.428$$ None None $$0$$ $$0$$ $$0$$ $$8$$
805.2.y.a $$368$$ $$6.428$$ None None $$-4$$ $$-4$$ $$0$$ $$0$$
805.2.bb.a $$320$$ $$6.428$$ None None $$2$$ $$0$$ $$-32$$ $$-3$$
805.2.bb.b $$320$$ $$6.428$$ None None $$2$$ $$0$$ $$32$$ $$3$$