## Results (29 matches)

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
5780.2.a.a $$1$$ $$46.154$$ $$\Q$$ None $$0$$ $$-2$$ $$1$$ $$-2$$ $$-$$ $$q-2q^{3}+q^{5}-2q^{7}+q^{9}-5q^{11}+\cdots$$
5780.2.a.b $$1$$ $$46.154$$ $$\Q$$ None $$0$$ $$0$$ $$-1$$ $$2$$ $$+$$ $$q-q^{5}+2q^{7}-3q^{9}-q^{11}+3q^{19}+\cdots$$
5780.2.a.c $$1$$ $$46.154$$ $$\Q$$ None $$0$$ $$0$$ $$1$$ $$-2$$ $$+$$ $$q+q^{5}-2q^{7}-3q^{9}+q^{11}+3q^{19}+\cdots$$
5780.2.a.d $$1$$ $$46.154$$ $$\Q$$ None $$0$$ $$0$$ $$1$$ $$4$$ $$+$$ $$q+q^{5}+4q^{7}-3q^{9}-2q^{11}-6q^{13}+\cdots$$
5780.2.a.e $$1$$ $$46.154$$ $$\Q$$ None $$0$$ $$2$$ $$-1$$ $$2$$ $$-$$ $$q+2q^{3}-q^{5}+2q^{7}+q^{9}+5q^{11}+\cdots$$
5780.2.a.f $$1$$ $$46.154$$ $$\Q$$ None $$0$$ $$2$$ $$1$$ $$-2$$ $$+$$ $$q+2q^{3}+q^{5}-2q^{7}+q^{9}+2q^{13}+\cdots$$
5780.2.a.g $$2$$ $$46.154$$ $$\Q(\sqrt{2})$$ None $$0$$ $$-2$$ $$-2$$ $$-2$$ $$-$$ $$q+(-1+\beta )q^{3}-q^{5}+(-1+\beta )q^{7}+\cdots$$
5780.2.a.h $$2$$ $$46.154$$ $$\Q(\sqrt{2})$$ None $$0$$ $$2$$ $$2$$ $$2$$ $$-$$ $$q+(1+\beta )q^{3}+q^{5}+(1+\beta )q^{7}+2\beta q^{9}+\cdots$$
5780.2.a.i $$3$$ $$46.154$$ 3.3.1524.1 None $$0$$ $$-2$$ $$3$$ $$-4$$ $$+$$ $$q+(-1+\beta _{1})q^{3}+q^{5}+(-1-\beta _{1})q^{7}+\cdots$$
5780.2.a.j $$3$$ $$46.154$$ 3.3.404.1 None $$0$$ $$0$$ $$-3$$ $$0$$ $$-$$ $$q+\beta _{2}q^{3}-q^{5}+\beta _{2}q^{7}+(2-\beta _{1}+\beta _{2})q^{9}+\cdots$$
5780.2.a.k $$3$$ $$46.154$$ 3.3.1524.1 None $$0$$ $$2$$ $$-3$$ $$4$$ $$-$$ $$q+(1-\beta _{1})q^{3}-q^{5}+(1+\beta _{1})q^{7}+(3+\cdots)q^{9}+\cdots$$
5780.2.a.l $$6$$ $$46.154$$ 6.6.14414517.1 None $$0$$ $$-3$$ $$6$$ $$0$$ $$+$$ $$q-\beta _{5}q^{3}+q^{5}-\beta _{2}q^{7}+\beta _{5}q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots$$
5780.2.a.m $$6$$ $$46.154$$ 6.6.9521152.1 None $$0$$ $$0$$ $$-6$$ $$4$$ $$-$$ $$q-\beta _{1}q^{3}-q^{5}+(\beta _{1}+\beta _{2}+\beta _{3}+\beta _{5})q^{7}+\cdots$$
5780.2.a.n $$6$$ $$46.154$$ 6.6.9521152.1 None $$0$$ $$0$$ $$6$$ $$-4$$ $$+$$ $$q+\beta _{1}q^{3}+q^{5}+(-\beta _{1}-\beta _{2}-\beta _{3}-\beta _{5})q^{7}+\cdots$$
5780.2.a.o $$6$$ $$46.154$$ 6.6.14414517.1 None $$0$$ $$3$$ $$-6$$ $$0$$ $$+$$ $$q+\beta _{5}q^{3}-q^{5}+\beta _{2}q^{7}+\beta _{5}q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots$$
5780.2.a.p $$12$$ $$46.154$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$0$$ $$-3$$ $$-12$$ $$0$$ $$-$$ $$q-\beta _{1}q^{3}-q^{5}+\beta _{3}q^{7}+(2+\beta _{2})q^{9}+\cdots$$
5780.2.a.q $$12$$ $$46.154$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$0$$ $$0$$ $$-12$$ $$-8$$ $$+$$ $$q+\beta _{1}q^{3}-q^{5}+(-1+\beta _{11})q^{7}+(1+\cdots)q^{9}+\cdots$$
5780.2.a.r $$12$$ $$46.154$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$0$$ $$0$$ $$12$$ $$8$$ $$-$$ $$q-\beta _{1}q^{3}+q^{5}+(1-\beta _{11})q^{7}+(1+\beta _{8}+\cdots)q^{9}+\cdots$$
5780.2.a.s $$12$$ $$46.154$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$0$$ $$3$$ $$12$$ $$0$$ $$-$$ $$q+\beta _{1}q^{3}+q^{5}-\beta _{3}q^{7}+(2+\beta _{2})q^{9}+\cdots$$
5780.2.c.a $$2$$ $$46.154$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{3}+iq^{5}+2iq^{7}-q^{9}+2q^{13}+\cdots$$
5780.2.c.b $$2$$ $$46.154$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{3}-iq^{5}-2iq^{7}-q^{9}-5iq^{11}+\cdots$$
5780.2.c.c $$2$$ $$46.154$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{5}+4iq^{7}+3q^{9}-2iq^{11}-6q^{13}+\cdots$$
5780.2.c.d $$2$$ $$46.154$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{5}-2iq^{7}+3q^{9}+iq^{11}-3q^{19}+\cdots$$
5780.2.c.e $$4$$ $$46.154$$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{8}+\zeta_{8}^{2})q^{3}+\zeta_{8}q^{5}+(-\zeta_{8}-\zeta_{8}^{2}+\cdots)q^{7}+\cdots$$
5780.2.c.f $$6$$ $$46.154$$ 6.0.2611456.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{3}-\beta _{4}q^{5}-\beta _{2}q^{7}+(-2+\beta _{1}+\cdots)q^{9}+\cdots$$
5780.2.c.g $$12$$ $$46.154$$ 12.0.$$\cdots$$.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{11}q^{3}-\beta _{3}q^{5}-\beta _{6}q^{7}+\beta _{8}q^{9}+\cdots$$
5780.2.c.h $$12$$ $$46.154$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{7}q^{3}-\beta _{6}q^{5}+(\beta _{7}-\beta _{9}-\beta _{10}+\cdots)q^{7}+\cdots$$
5780.2.c.i $$24$$ $$46.154$$ None $$0$$ $$0$$ $$0$$ $$0$$
5780.2.c.j $$24$$ $$46.154$$ None $$0$$ $$0$$ $$0$$ $$0$$