## Results (1-50 of 107 matches)

Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
310.2.a.a $1$ $2.475$ $$\Q$$ None $$1$$ $$-2$$ $$-1$$ $$-4$$ $+$ $$q+q^{2}-2q^{3}+q^{4}-q^{5}-2q^{6}-4q^{7}+\cdots$$
310.2.a.b $1$ $2.475$ $$\Q$$ None $$1$$ $$2$$ $$-1$$ $$0$$ $-$ $$q+q^{2}+2q^{3}+q^{4}-q^{5}+2q^{6}+q^{8}+\cdots$$
310.2.a.c $2$ $2.475$ $$\Q(\sqrt{3})$$ None $$-2$$ $$-2$$ $$-2$$ $$0$$ $+$ $$q-q^{2}+(-1+\beta )q^{3}+q^{4}-q^{5}+(1+\cdots)q^{6}+\cdots$$
310.2.a.d $2$ $2.475$ $$\Q(\sqrt{6})$$ None $$-2$$ $$0$$ $$2$$ $$-4$$ $-$ $$q-q^{2}+\beta q^{3}+q^{4}+q^{5}-\beta q^{6}-2q^{7}+\cdots$$
310.2.a.e $3$ $2.475$ 3.3.148.1 None $$3$$ $$2$$ $$3$$ $$0$$ $-$ $$q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+q^{5}+(1-\beta _{1}+\cdots)q^{6}+\cdots$$
310.2.b.a $8$ $2.475$ 8.0.619810816.2 None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-\beta _{2}q^{2}+(-\beta _{2}+\beta _{3}-\beta _{4}+\beta _{5}-\beta _{6}+\cdots)q^{3}+\cdots$$
310.2.b.b $8$ $2.475$ 8.0.2058981376.2 None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+\beta _{4}q^{2}+\beta _{6}q^{3}-q^{4}+(-1-\beta _{1}+\cdots)q^{5}+\cdots$$
310.2.e.a $6$ $2.475$ 6.0.309123.1 None $$-6$$ $$-1$$ $$-3$$ $$2$$ $$q-q^{2}-\beta _{2}q^{3}+q^{4}-\beta _{4}q^{5}+\beta _{2}q^{6}+\cdots$$
310.2.e.b $6$ $2.475$ 6.0.49572675.1 None $$-6$$ $$1$$ $$3$$ $$-2$$ $$q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{4}q^{5}-\beta _{1}q^{6}+\cdots$$
310.2.e.c $6$ $2.475$ 6.0.309123.1 None $$6$$ $$-1$$ $$3$$ $$-4$$ $$q+q^{2}+(\beta _{1}-\beta _{5})q^{3}+q^{4}+(1-\beta _{4}+\cdots)q^{5}+\cdots$$
310.2.e.d $6$ $2.475$ 6.0.771147.1 None $$6$$ $$1$$ $$-3$$ $$0$$ $$q+q^{2}+(-\beta _{1}+\beta _{2})q^{3}+q^{4}+\beta _{4}q^{5}+\cdots$$
310.2.f.a $32$ $2.475$ None $$0$$ $$0$$ $$0$$ $$8$$
310.2.h.a $4$ $2.475$ $$\Q(\zeta_{10})$$ None $$1$$ $$-1$$ $$4$$ $$7$$ $$q+\zeta_{10}q^{2}+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{3}+\cdots$$
310.2.h.b $4$ $2.475$ $$\Q(\zeta_{10})$$ None $$1$$ $$1$$ $$4$$ $$-3$$ $$q+\zeta_{10}q^{2}+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{3}+\cdots$$
310.2.h.c $8$ $2.475$ 8.0.484000000.9 None $$-2$$ $$0$$ $$-8$$ $$4$$ $$q+(-1-\beta _{2}-\beta _{3}+\beta _{5})q^{2}+(\beta _{1}-\beta _{6}+\cdots)q^{3}+\cdots$$
310.2.h.d $8$ $2.475$ 8.0.64000000.2 None $$-2$$ $$2$$ $$8$$ $$-2$$ $$q+(-1-\beta _{2}-\beta _{4}-\beta _{6})q^{2}+(-\beta _{2}+\cdots)q^{3}+\cdots$$
310.2.h.e $8$ $2.475$ 8.0.64000000.2 None $$2$$ $$2$$ $$-8$$ $$10$$ $$q+(1+\beta _{2}+\beta _{4}+\beta _{6})q^{2}+(-\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots$$
310.2.k.a $32$ $2.475$ None $$0$$ $$0$$ $$-2$$ $$0$$
310.2.n.a $64$ $2.475$ None $$0$$ $$0$$ $$4$$ $$0$$
310.2.p.a $64$ $2.475$ None $$0$$ $$0$$ $$0$$ $$4$$
310.2.q.a $8$ $2.475$ $$\Q(\zeta_{15})$$ None $$-2$$ $$-8$$ $$-4$$ $$-16$$ $$q+\zeta_{15}^{3}q^{2}+(-2+\zeta_{15}+\zeta_{15}^{2}-2\zeta_{15}^{3}+\cdots)q^{3}+\cdots$$
310.2.q.b $8$ $2.475$ $$\Q(\zeta_{15})$$ None $$-2$$ $$3$$ $$-4$$ $$2$$ $$q+\zeta_{15}^{3}q^{2}+(1-\zeta_{15}^{4}+\zeta_{15}^{5})q^{3}+\cdots$$
310.2.q.c $8$ $2.475$ $$\Q(\zeta_{15})$$ None $$-2$$ $$4$$ $$-4$$ $$9$$ $$q+\zeta_{15}^{3}q^{2}+(1-\zeta_{15}-\zeta_{15}^{2}+2\zeta_{15}^{3}+\cdots)q^{3}+\cdots$$
310.2.q.d $8$ $2.475$ $$\Q(\zeta_{15})$$ None $$2$$ $$-8$$ $$4$$ $$-7$$ $$q-\zeta_{15}^{3}q^{2}+(-1-\zeta_{15}+\zeta_{15}^{2}+\zeta_{15}^{5}+\cdots)q^{3}+\cdots$$
310.2.q.e $8$ $2.475$ $$\Q(\zeta_{15})$$ None $$2$$ $$1$$ $$4$$ $$12$$ $$q-\zeta_{15}^{3}q^{2}+(1-\zeta_{15}^{4}+\zeta_{15}^{5}-2\zeta_{15}^{7})q^{3}+\cdots$$
310.2.q.f $8$ $2.475$ $$\Q(\zeta_{15})$$ None $$2$$ $$6$$ $$4$$ $$2$$ $$q-\zeta_{15}^{3}q^{2}+(\zeta_{15}-\zeta_{15}^{2}+\zeta_{15}^{4}+\cdots)q^{3}+\cdots$$
310.2.q.g $24$ $2.475$ None $$-6$$ $$1$$ $$12$$ $$-11$$
310.2.q.h $24$ $2.475$ None $$6$$ $$1$$ $$-12$$ $$13$$
310.2.s.a $128$ $2.475$ None $$0$$ $$0$$ $$0$$ $$12$$
310.2.t.a $128$ $2.475$ None $$0$$ $$0$$ $$2$$ $$0$$
310.2.w.a $256$ $2.475$ None $$0$$ $$0$$ $$0$$ $$-24$$
310.3.c.a $24$ $8.447$ None $$0$$ $$0$$ $$0$$ $$8$$
310.3.d.a $32$ $8.447$ None $$0$$ $$0$$ $$12$$ $$0$$
310.3.g.a $28$ $8.447$ None $$-28$$ $$4$$ $$8$$ $$-16$$
310.3.g.b $32$ $8.447$ None $$32$$ $$-4$$ $$-8$$ $$-8$$
310.3.i.a $64$ $8.447$ None $$0$$ $$0$$ $$6$$ $$0$$
310.3.j.a $40$ $8.447$ None $$0$$ $$12$$ $$0$$ $$-12$$
310.3.l.a $128$ $8.447$ None $$0$$ $$0$$ $$-12$$ $$0$$
310.3.m.a $48$ $8.447$ None $$0$$ $$0$$ $$0$$ $$-14$$
310.3.m.b $48$ $8.447$ None $$0$$ $$0$$ $$0$$ $$6$$
310.3.o.a $4$ $8.447$ $$\Q(\zeta_{12})$$ None $$-4$$ $$-6$$ $$-6$$ $$18$$ $$q+(-1-\zeta_{12}^{3})q^{2}+(-3\zeta_{12}-3\zeta_{12}^{2}+\cdots)q^{3}+\cdots$$
310.3.o.b $4$ $8.447$ $$\Q(\zeta_{12})$$ None $$4$$ $$6$$ $$8$$ $$8$$ $$q+(1+\zeta_{12}^{3})q^{2}+(3\zeta_{12}+3\zeta_{12}^{2}-3\zeta_{12}^{3})q^{3}+\cdots$$
310.3.o.c $60$ $8.447$ None $$-60$$ $$10$$ $$-2$$ $$-22$$
310.3.o.d $60$ $8.447$ None $$60$$ $$-2$$ $$0$$ $$-12$$
310.3.r.a $128$ $8.447$ None $$-32$$ $$4$$ $$8$$ $$-12$$
310.3.r.b $128$ $8.447$ None $$32$$ $$4$$ $$-8$$ $$-12$$
310.3.u.a $80$ $8.447$ None $$0$$ $$-6$$ $$0$$ $$-4$$
310.3.u.b $80$ $8.447$ None $$0$$ $$-6$$ $$0$$ $$16$$
310.3.v.a $256$ $8.447$ None $$0$$ $$0$$ $$-6$$ $$0$$
310.3.x.a $256$ $8.447$ None $$-64$$ $$-4$$ $$-8$$ $$24$$