## Results (15 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1336.1.e.a $$1$$ $$0.667$$ $$\Q$$ $$\Q(\sqrt{-167})$$, $$\Q(\sqrt{-334})$$ $$\Q(\sqrt{2})$$ $$-1$$ $$0$$ $$0$$ $$2$$ $$q-q^{2}+q^{4}+2q^{7}-q^{8}+q^{9}-2q^{14}+\cdots$$
1336.1.e.b $$1$$ $$0.667$$ $$\Q$$ $$\Q(\sqrt{-334})$$ None $$1$$ $$0$$ $$-1$$ $$-1$$ $$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}+q^{9}+\cdots$$
1336.1.e.c $$1$$ $$0.667$$ $$\Q$$ $$\Q(\sqrt{-334})$$ None $$1$$ $$0$$ $$1$$ $$-1$$ $$q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{9}+\cdots$$
1336.1.e.d $$2$$ $$0.667$$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-334})$$ None $$-2$$ $$0$$ $$0$$ $$-2$$ $$q-q^{2}+q^{4}-\beta q^{5}-q^{7}-q^{8}+q^{9}+\cdots$$
1336.1.e.e $$10$$ $$0.667$$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-167})$$ None $$1$$ $$0$$ $$0$$ $$-2$$ $$q-\zeta_{22}^{6}q^{2}+(\zeta_{22}^{2}+\zeta_{22}^{9})q^{3}-\zeta_{22}q^{4}+\cdots$$
1336.2.a.a $$2$$ $$10.668$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$3$$ $$0$$ $$-7$$ $$+$$ $$q+(1+\beta )q^{3}+(1-2\beta )q^{5}+(-4+\beta )q^{7}+\cdots$$
1336.2.a.b $$7$$ $$10.668$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$0$$ $$-6$$ $$0$$ $$-1$$ $$+$$ $$q+(-1+\beta _{1})q^{3}+(-\beta _{4}+\beta _{5})q^{5}+(-1+\cdots)q^{7}+\cdots$$
1336.2.a.c $$9$$ $$10.668$$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None None $$0$$ $$-1$$ $$-8$$ $$2$$ $$+$$ $$q-\beta _{1}q^{3}+(-1-\beta _{2}-\beta _{8})q^{5}+(\beta _{1}+\cdots)q^{7}+\cdots$$
1336.2.a.d $$12$$ $$10.668$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$-1$$ $$8$$ $$-4$$ $$-$$ $$q-\beta _{1}q^{3}+(1-\beta _{9})q^{5}+\beta _{11}q^{7}+(2+\cdots)q^{9}+\cdots$$
1336.2.a.e $$12$$ $$10.668$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$5$$ $$-2$$ $$10$$ $$-$$ $$q+\beta _{1}q^{3}+\beta _{9}q^{5}+(1+\beta _{11})q^{7}+(2+\cdots)q^{9}+\cdots$$
1336.3.g.a $$84$$ $$36.403$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1336.4.a.a $$29$$ $$78.827$$ None None $$0$$ $$-9$$ $$12$$ $$-82$$ $$-$$
1336.4.a.b $$30$$ $$78.827$$ None None $$0$$ $$1$$ $$-40$$ $$16$$ $$-$$
1336.4.a.c $$32$$ $$78.827$$ None None $$0$$ $$15$$ $$2$$ $$44$$ $$+$$
1336.4.a.d $$33$$ $$78.827$$ None None $$0$$ $$1$$ $$40$$ $$-26$$ $$+$$