## Results (39 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1161.1.i.a $$2$$ $$0.579$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+q^{4}-\zeta_{6}q^{7}+\zeta_{6}q^{13}+q^{16}-\zeta_{6}^{2}q^{19}+\cdots$$
1161.1.i.b $$4$$ $$0.579$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{2}-q^{4}-\beta _{1}q^{5}+(-2+2\beta _{2}+\cdots)q^{10}+\cdots$$
1161.1.i.c $$8$$ $$0.579$$ 8.0.12960000.1 None None $$0$$ $$0$$ $$0$$ $$2$$ $$q+\beta _{7}q^{2}+(-\beta _{3}-\beta _{6}-\beta _{7})q^{5}+(-\beta _{2}+\cdots)q^{7}+\cdots$$
1161.1.j.a $$2$$ $$0.579$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+q^{4}-\zeta_{6}q^{13}+q^{16}+(1+\zeta_{6})q^{19}+\cdots$$
1161.1.by.a $$12$$ $$0.579$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q+\zeta_{42}^{12}q^{4}+(-\zeta_{42}^{11}-\zeta_{42}^{17}+\cdots)q^{7}+\cdots$$
1161.1.bz.a $$12$$ $$0.579$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{42}^{3}q^{4}+(-\zeta_{42}+\zeta_{42}^{13})q^{7}+\cdots$$
1161.2.a.a $$1$$ $$9.271$$ $$\Q$$ None None $$-2$$ $$0$$ $$2$$ $$-3$$ $$+$$ $$q-2q^{2}+2q^{4}+2q^{5}-3q^{7}-4q^{10}+\cdots$$
1161.2.a.b $$1$$ $$9.271$$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$1$$ $$+$$ $$q-2q^{4}-2q^{5}+q^{7}+4q^{11}-3q^{13}+\cdots$$
1161.2.a.c $$1$$ $$9.271$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$1$$ $$+$$ $$q-2q^{4}+2q^{5}+q^{7}-4q^{11}-3q^{13}+\cdots$$
1161.2.a.d $$1$$ $$9.271$$ $$\Q$$ None None $$2$$ $$0$$ $$-2$$ $$-3$$ $$+$$ $$q+2q^{2}+2q^{4}-2q^{5}-3q^{7}-4q^{10}+\cdots$$
1161.2.a.e $$2$$ $$9.271$$ $$\Q(\sqrt{5})$$ None None $$-3$$ $$0$$ $$1$$ $$-1$$ $$+$$ $$q+(-1-\beta )q^{2}+3\beta q^{4}+\beta q^{5}-\beta q^{7}+\cdots$$
1161.2.a.f $$2$$ $$9.271$$ $$\Q(\sqrt{5})$$ None None $$3$$ $$0$$ $$-1$$ $$-1$$ $$-$$ $$q+(1+\beta )q^{2}+3\beta q^{4}-\beta q^{5}-\beta q^{7}+\cdots$$
1161.2.a.g $$4$$ $$9.271$$ $$\Q(\sqrt{2}, \sqrt{5})$$ None None $$0$$ $$0$$ $$0$$ $$-8$$ $$+$$ $$q+\beta _{2}q^{2}+\beta _{1}q^{5}+(-2-\beta _{3})q^{7}-2\beta _{2}q^{8}+\cdots$$
1161.2.a.h $$5$$ $$9.271$$ 5.5.675097.1 None None $$-1$$ $$0$$ $$6$$ $$0$$ $$-$$ $$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1+\beta _{4})q^{5}+\cdots$$
1161.2.a.i $$5$$ $$9.271$$ 5.5.675097.1 None None $$1$$ $$0$$ $$-6$$ $$0$$ $$+$$ $$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1-\beta _{4})q^{5}+\cdots$$
1161.2.a.j $$7$$ $$9.271$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$-2$$ $$0$$ $$-3$$ $$-1$$ $$+$$ $$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots$$
1161.2.a.k $$7$$ $$9.271$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$2$$ $$0$$ $$3$$ $$-1$$ $$-$$ $$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1-\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots$$
1161.2.a.l $$10$$ $$9.271$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$8$$ $$-$$ $$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}-\beta _{9}q^{5}+(1-\beta _{8}+\cdots)q^{7}+\cdots$$
1161.2.a.m $$10$$ $$9.271$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$12$$ $$-$$ $$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+\beta _{7}q^{5}+(1-\beta _{3}+\cdots)q^{7}+\cdots$$
1161.2.d.a $$2$$ $$9.271$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-2q^{4}+\zeta_{6}q^{7}-5q^{13}+4q^{16}-\zeta_{6}q^{19}+\cdots$$
1161.2.d.b $$28$$ $$9.271$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1161.2.d.c $$28$$ $$9.271$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1161.2.e.a $$84$$ $$9.271$$ None None $$0$$ $$0$$ $$-5$$ $$3$$
1161.2.f.a $$2$$ $$9.271$$ $$\Q(\sqrt{-3})$$ None None $$1$$ $$0$$ $$2$$ $$3$$ $$q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{4}+2\zeta_{6}q^{5}+(3+\cdots)q^{7}+\cdots$$
1161.2.f.b $$4$$ $$9.271$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None None $$1$$ $$0$$ $$4$$ $$7$$ $$q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2}-\beta _{3})q^{4}+(-2\beta _{1}+\cdots)q^{5}+\cdots$$
1161.2.f.c $$38$$ $$9.271$$ None None $$4$$ $$0$$ $$9$$ $$-7$$
1161.2.f.d $$40$$ $$9.271$$ None None $$-6$$ $$0$$ $$-17$$ $$-3$$
1161.2.g.a $$84$$ $$9.271$$ None None $$0$$ $$0$$ $$10$$ $$-6$$
1161.2.k.a $$84$$ $$9.271$$ None None $$0$$ $$0$$ $$3$$ $$-3$$
1161.2.l.a $$84$$ $$9.271$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1161.2.m.a $$84$$ $$9.271$$ None None $$0$$ $$0$$ $$6$$ $$0$$
1161.4.a.a $$18$$ $$68.501$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-76$$ $$-$$ $$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}-\beta _{11}q^{5}+(-4+\cdots)q^{7}+\cdots$$
1161.4.a.b $$18$$ $$68.501$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-48$$ $$-$$ $$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}-\beta _{13}q^{5}+(-3+\cdots)q^{7}+\cdots$$
1161.4.a.c $$21$$ $$68.501$$ None None $$-7$$ $$0$$ $$-37$$ $$3$$ $$-$$
1161.4.a.d $$21$$ $$68.501$$ None None $$-1$$ $$0$$ $$-3$$ $$3$$ $$-$$
1161.4.a.e $$21$$ $$68.501$$ None None $$1$$ $$0$$ $$3$$ $$3$$ $$+$$
1161.4.a.f $$21$$ $$68.501$$ None None $$7$$ $$0$$ $$37$$ $$3$$ $$+$$
1161.4.a.g $$24$$ $$68.501$$ None None $$0$$ $$0$$ $$0$$ $$36$$ $$+$$
1161.4.a.h $$24$$ $$68.501$$ None None $$0$$ $$0$$ $$0$$ $$64$$ $$+$$