## Results (1-50 of 69 matches)

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1122.2.a.a $$1$$ $$8.959$$ $$\Q$$ None $$-1$$ $$-1$$ $$-2$$ $$0$$ $$-$$ $$q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}-q^{8}+\cdots$$
1122.2.a.b $$1$$ $$8.959$$ $$\Q$$ None $$-1$$ $$-1$$ $$2$$ $$-2$$ $$+$$ $$q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}-2q^{7}+\cdots$$
1122.2.a.c $$1$$ $$8.959$$ $$\Q$$ None $$-1$$ $$-1$$ $$2$$ $$4$$ $$-$$ $$q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}+4q^{7}+\cdots$$
1122.2.a.d $$1$$ $$8.959$$ $$\Q$$ None $$-1$$ $$1$$ $$-2$$ $$-2$$ $$+$$ $$q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-2q^{7}+\cdots$$
1122.2.a.e $$1$$ $$8.959$$ $$\Q$$ None $$1$$ $$-1$$ $$-2$$ $$0$$ $$+$$ $$q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}+q^{8}+\cdots$$
1122.2.a.f $$1$$ $$8.959$$ $$\Q$$ None $$1$$ $$-1$$ $$-2$$ $$0$$ $$+$$ $$q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}+q^{8}+\cdots$$
1122.2.a.g $$1$$ $$8.959$$ $$\Q$$ None $$1$$ $$-1$$ $$2$$ $$-2$$ $$-$$ $$q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}-2q^{7}+\cdots$$
1122.2.a.h $$1$$ $$8.959$$ $$\Q$$ None $$1$$ $$-1$$ $$2$$ $$4$$ $$-$$ $$q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+4q^{7}+\cdots$$
1122.2.a.i $$1$$ $$8.959$$ $$\Q$$ None $$1$$ $$1$$ $$-2$$ $$-4$$ $$+$$ $$q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}-4q^{7}+\cdots$$
1122.2.a.j $$1$$ $$8.959$$ $$\Q$$ None $$1$$ $$1$$ $$0$$ $$2$$ $$-$$ $$q+q^{2}+q^{3}+q^{4}+q^{6}+2q^{7}+q^{8}+\cdots$$
1122.2.a.k $$1$$ $$8.959$$ $$\Q$$ None $$1$$ $$1$$ $$0$$ $$2$$ $$-$$ $$q+q^{2}+q^{3}+q^{4}+q^{6}+2q^{7}+q^{8}+\cdots$$
1122.2.a.l $$1$$ $$8.959$$ $$\Q$$ None $$1$$ $$1$$ $$2$$ $$-2$$ $$-$$ $$q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}-2q^{7}+\cdots$$
1122.2.a.m $$1$$ $$8.959$$ $$\Q$$ None $$1$$ $$1$$ $$2$$ $$4$$ $$-$$ $$q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+4q^{7}+\cdots$$
1122.2.a.n $$1$$ $$8.959$$ $$\Q$$ None $$1$$ $$1$$ $$4$$ $$-2$$ $$-$$ $$q+q^{2}+q^{3}+q^{4}+4q^{5}+q^{6}-2q^{7}+\cdots$$
1122.2.a.o $$2$$ $$8.959$$ $$\Q(\sqrt{5})$$ None $$-2$$ $$-2$$ $$-2$$ $$6$$ $$-$$ $$q-q^{2}-q^{3}+q^{4}+(-1-\beta )q^{5}+q^{6}+\cdots$$
1122.2.a.p $$2$$ $$8.959$$ $$\Q(\sqrt{2})$$ None $$-2$$ $$-2$$ $$0$$ $$-4$$ $$+$$ $$q-q^{2}-q^{3}+q^{4}+q^{6}+(-2+\beta )q^{7}+\cdots$$
1122.2.a.q $$2$$ $$8.959$$ $$\Q(\sqrt{2})$$ None $$-2$$ $$2$$ $$0$$ $$-4$$ $$+$$ $$q-q^{2}+q^{3}+q^{4}+\beta q^{5}-q^{6}+(-2+\cdots)q^{7}+\cdots$$
1122.2.a.r $$2$$ $$8.959$$ $$\Q(\sqrt{5})$$ None $$-2$$ $$2$$ $$2$$ $$-2$$ $$-$$ $$q-q^{2}+q^{3}+q^{4}+(1+\beta )q^{5}-q^{6}+\cdots$$
1122.2.a.s $$3$$ $$8.959$$ 3.3.148.1 None $$3$$ $$-3$$ $$0$$ $$2$$ $$-$$ $$q+q^{2}-q^{3}+q^{4}-\beta _{2}q^{5}-q^{6}+(1+\cdots)q^{7}+\cdots$$
1122.2.b.a $$16$$ $$8.959$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$-16$$ $$1$$ $$0$$ $$0$$ $$q-q^{2}-\beta _{9}q^{3}+q^{4}+\beta _{13}q^{5}+\beta _{9}q^{6}+\cdots$$
1122.2.b.b $$16$$ $$8.959$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$-16$$ $$1$$ $$0$$ $$0$$ $$q-q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{3}q^{5}-\beta _{1}q^{6}+\cdots$$
1122.2.b.c $$16$$ $$8.959$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$16$$ $$1$$ $$0$$ $$0$$ $$q+q^{2}-\beta _{9}q^{3}+q^{4}+\beta _{13}q^{5}-\beta _{9}q^{6}+\cdots$$
1122.2.b.d $$16$$ $$8.959$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$16$$ $$1$$ $$0$$ $$0$$ $$q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{3}q^{5}+\beta _{1}q^{6}+\cdots$$
1122.2.c.a $$2$$ $$8.959$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}-iq^{3}+q^{4}+4iq^{5}+iq^{6}+\cdots$$
1122.2.c.b $$2$$ $$8.959$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+iq^{3}+q^{4}-iq^{6}-q^{8}-q^{9}+\cdots$$
1122.2.c.c $$2$$ $$8.959$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}-iq^{3}+q^{4}+2iq^{5}-iq^{6}+\cdots$$
1122.2.c.d $$2$$ $$8.959$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}-iq^{3}+q^{4}+2iq^{5}-iq^{6}+\cdots$$
1122.2.c.e $$4$$ $$8.959$$ $$\Q(i, \sqrt{13})$$ None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+(\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots$$
1122.2.c.f $$4$$ $$8.959$$ $$\Q(\zeta_{8})$$ None $$4$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+\zeta_{8}q^{3}+q^{4}+(2\zeta_{8}-\zeta_{8}^{2})q^{5}+\cdots$$
1122.2.c.g $$6$$ $$8.959$$ 6.0.419904.1 None $$6$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+\beta _{2}q^{3}+q^{4}+\beta _{1}q^{5}+\beta _{2}q^{6}+\cdots$$
1122.2.c.h $$10$$ $$8.959$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None $$-10$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}-\beta _{1}q^{3}+q^{4}+(-\beta _{1}+\beta _{7})q^{5}+\cdots$$
1122.2.h.a $$2$$ $$8.959$$ $$\Q(\sqrt{-2})$$ None $$-2$$ $$-2$$ $$0$$ $$4$$ $$q-q^{2}+(-1-\beta )q^{3}+q^{4}+(1+\beta )q^{6}+\cdots$$
1122.2.h.b $$2$$ $$8.959$$ $$\Q(\sqrt{-2})$$ None $$-2$$ $$2$$ $$0$$ $$-4$$ $$q-q^{2}+(1-\beta )q^{3}+q^{4}+(-1+\beta )q^{6}+\cdots$$
1122.2.h.c $$2$$ $$8.959$$ $$\Q(\sqrt{-2})$$ None $$2$$ $$-2$$ $$0$$ $$-4$$ $$q+q^{2}+(-1+\beta )q^{3}+q^{4}+(-1+\beta )q^{6}+\cdots$$
1122.2.h.d $$2$$ $$8.959$$ $$\Q(\sqrt{-2})$$ None $$2$$ $$2$$ $$0$$ $$4$$ $$q+q^{2}+(1+\beta )q^{3}+q^{4}+(1+\beta )q^{6}+\cdots$$
1122.2.h.e $$4$$ $$8.959$$ $$\Q(\sqrt{-2}, \sqrt{3})$$ None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+\beta _{2}q^{3}+q^{4}-\beta _{2}q^{6}-2\beta _{2}q^{7}+\cdots$$
1122.2.h.f $$4$$ $$8.959$$ $$\Q(\sqrt{-2}, \sqrt{3})$$ None $$4$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}-\beta _{2}q^{3}+q^{4}-\beta _{2}q^{6}-2\beta _{2}q^{7}+\cdots$$
1122.2.h.g $$28$$ $$8.959$$ None $$-28$$ $$0$$ $$0$$ $$0$$
1122.2.h.h $$28$$ $$8.959$$ None $$28$$ $$0$$ $$0$$ $$0$$
1122.2.l.a $$4$$ $$8.959$$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}+(-1+2\zeta_{8}+\cdots)q^{5}+\cdots$$
1122.2.l.b $$4$$ $$8.959$$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}+(-1+2\zeta_{8}+\cdots)q^{5}+\cdots$$
1122.2.l.c $$4$$ $$8.959$$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q-\zeta_{8}^{2}q^{2}+\zeta_{8}q^{3}-q^{4}+(1+2\zeta_{8}+\cdots)q^{5}+\cdots$$
1122.2.l.d $$4$$ $$8.959$$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$8$$ $$0$$ $$q+\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}+(2+2\zeta_{8}^{2}+\cdots)q^{5}+\cdots$$
1122.2.l.e $$12$$ $$8.959$$ 12.0.$$\cdots$$.1 None $$0$$ $$0$$ $$-12$$ $$0$$ $$q-\beta _{2}q^{2}-\beta _{1}q^{3}-q^{4}+(-1+\beta _{2}+\cdots)q^{5}+\cdots$$
1122.2.l.f $$16$$ $$8.959$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q-\beta _{10}q^{2}-\beta _{6}q^{3}-q^{4}+\beta _{15}q^{5}+\cdots$$
1122.2.l.g $$20$$ $$8.959$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-\beta _{8}q^{2}-\beta _{2}q^{3}-q^{4}+\beta _{6}q^{5}+\beta _{1}q^{6}+\cdots$$
1122.3.d.a $$72$$ $$30.572$$ None $$0$$ $$0$$ $$0$$ $$0$$
1122.3.f.a $$64$$ $$30.572$$ None $$0$$ $$0$$ $$0$$ $$0$$
1122.4.a.a $$1$$ $$66.200$$ $$\Q$$ None $$-2$$ $$-3$$ $$-18$$ $$26$$ $$+$$ $$q-2q^{2}-3q^{3}+4q^{4}-18q^{5}+6q^{6}+\cdots$$
1122.4.a.b $$3$$ $$66.200$$ 3.3.2636.1 None $$6$$ $$9$$ $$-20$$ $$-28$$ $$-$$ $$q+2q^{2}+3q^{3}+4q^{4}+(-6+\beta _{1}+2\beta _{2})q^{5}+\cdots$$