## Results (43 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1288.1.c.a $$1$$ $$0.643$$ $$\Q$$ $$\Q(\sqrt{-7})$$, $$\Q(\sqrt{-322})$$ $$\Q(\sqrt{46})$$ $$-1$$ $$0$$ $$0$$ $$-1$$ $$q-q^{2}+q^{4}-q^{7}-q^{8}+q^{9}+q^{14}+\cdots$$
1288.1.c.b $$1$$ $$0.643$$ $$\Q$$ $$\Q(\sqrt{-7})$$, $$\Q(\sqrt{-322})$$ $$\Q(\sqrt{46})$$ $$-1$$ $$0$$ $$0$$ $$1$$ $$q-q^{2}+q^{4}+q^{7}-q^{8}+q^{9}-q^{14}+\cdots$$
1288.1.bi.a $$10$$ $$0.643$$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-14})$$ None $$-1$$ $$-9$$ $$2$$ $$-1$$ $$q-\zeta_{22}^{3}q^{2}+(-1-\zeta_{22}^{4})q^{3}+\zeta_{22}^{6}q^{4}+\cdots$$
1288.1.bi.b $$10$$ $$0.643$$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-14})$$ None $$-1$$ $$9$$ $$-2$$ $$-1$$ $$q-\zeta_{22}^{3}q^{2}+(1+\zeta_{22}^{4})q^{3}+\zeta_{22}^{6}q^{4}+\cdots$$
1288.1.bi.c $$10$$ $$0.643$$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-7})$$ None $$1$$ $$0$$ $$0$$ $$1$$ $$q+\zeta_{22}^{9}q^{2}-\zeta_{22}^{7}q^{4}+\zeta_{22}q^{7}+\zeta_{22}^{5}q^{8}+\cdots$$
1288.1.bi.d $$10$$ $$0.643$$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-7})$$ None $$1$$ $$0$$ $$0$$ $$1$$ $$q-\zeta_{22}^{8}q^{2}-\zeta_{22}^{5}q^{4}+\zeta_{22}q^{7}-\zeta_{22}^{2}q^{8}+\cdots$$
1288.1.bi.e $$20$$ $$0.643$$ $$\Q(\zeta_{44})$$ $$\Q(\sqrt{-14})$$ None $$2$$ $$0$$ $$0$$ $$2$$ $$q+\zeta_{44}^{18}q^{2}+(\zeta_{44}^{11}+\zeta_{44}^{13})q^{3}+\cdots$$
1288.1.bu.a $$10$$ $$0.643$$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-7})$$ None $$1$$ $$0$$ $$0$$ $$-1$$ $$q+\zeta_{22}^{5}q^{2}+\zeta_{22}^{10}q^{4}-\zeta_{22}^{3}q^{7}+\cdots$$
1288.1.bu.b $$10$$ $$0.643$$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-7})$$ None $$1$$ $$0$$ $$0$$ $$1$$ $$q-\zeta_{22}^{2}q^{2}+\zeta_{22}^{4}q^{4}+\zeta_{22}^{3}q^{7}+\cdots$$
1288.2.a.a $$1$$ $$10.285$$ $$\Q$$ None None $$0$$ $$-3$$ $$-4$$ $$-1$$ $$+$$ $$q-3q^{3}-4q^{5}-q^{7}+6q^{9}+2q^{11}+\cdots$$
1288.2.a.b $$1$$ $$10.285$$ $$\Q$$ None None $$0$$ $$-3$$ $$0$$ $$-1$$ $$-$$ $$q-3q^{3}-q^{7}+6q^{9}-6q^{11}+q^{13}+\cdots$$
1288.2.a.c $$1$$ $$10.285$$ $$\Q$$ None None $$0$$ $$-2$$ $$0$$ $$1$$ $$+$$ $$q-2q^{3}+q^{7}+q^{9}-6q^{17}+6q^{19}+\cdots$$
1288.2.a.d $$1$$ $$10.285$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$-1$$ $$+$$ $$q+2q^{5}-q^{7}-3q^{9}-4q^{13}-4q^{17}+\cdots$$
1288.2.a.e $$1$$ $$10.285$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$1$$ $$+$$ $$q+q^{3}+q^{7}-2q^{9}-6q^{11}-3q^{13}+\cdots$$
1288.2.a.f $$1$$ $$10.285$$ $$\Q$$ None None $$0$$ $$2$$ $$0$$ $$-1$$ $$-$$ $$q+2q^{3}-q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots$$
1288.2.a.g $$1$$ $$10.285$$ $$\Q$$ None None $$0$$ $$2$$ $$2$$ $$1$$ $$-$$ $$q+2q^{3}+2q^{5}+q^{7}+q^{9}+2q^{11}+\cdots$$
1288.2.a.h $$1$$ $$10.285$$ $$\Q$$ None None $$0$$ $$2$$ $$4$$ $$1$$ $$-$$ $$q+2q^{3}+4q^{5}+q^{7}+q^{9}+4q^{11}+\cdots$$
1288.2.a.i $$1$$ $$10.285$$ $$\Q$$ None None $$0$$ $$3$$ $$2$$ $$-1$$ $$-$$ $$q+3q^{3}+2q^{5}-q^{7}+6q^{9}+2q^{11}+\cdots$$
1288.2.a.j $$2$$ $$10.285$$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-1$$ $$-4$$ $$-2$$ $$+$$ $$q-\beta q^{3}-2q^{5}-q^{7}+(1+\beta )q^{9}+2\beta q^{11}+\cdots$$
1288.2.a.k $$2$$ $$10.285$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$-4$$ $$-2$$ $$-$$ $$q+\beta q^{3}+(-2-\beta )q^{5}-q^{7}-q^{9}+2q^{11}+\cdots$$
1288.2.a.l $$3$$ $$10.285$$ 3.3.148.1 None None $$0$$ $$0$$ $$4$$ $$-3$$ $$-$$ $$q-\beta _{2}q^{3}+(2-2\beta _{1}-\beta _{2})q^{5}-q^{7}+\cdots$$
1288.2.a.m $$3$$ $$10.285$$ 3.3.568.1 None None $$0$$ $$1$$ $$0$$ $$3$$ $$-$$ $$q+\beta _{1}q^{3}+(-\beta _{1}-\beta _{2})q^{5}+q^{7}+(1+\cdots)q^{9}+\cdots$$
1288.2.a.n $$4$$ $$10.285$$ 4.4.8468.1 None None $$0$$ $$-3$$ $$0$$ $$4$$ $$+$$ $$q+(-1+\beta _{1})q^{3}+(-\beta _{2}+\beta _{3})q^{5}+q^{7}+\cdots$$
1288.2.a.o $$4$$ $$10.285$$ 4.4.34196.1 None None $$0$$ $$0$$ $$0$$ $$-4$$ $$+$$ $$q-\beta _{1}q^{3}+\beta _{1}q^{5}-q^{7}+(1+\beta _{2})q^{9}+\cdots$$
1288.2.a.p $$5$$ $$10.285$$ 5.5.3385684.1 None None $$0$$ $$-3$$ $$2$$ $$5$$ $$-$$ $$q+(-1+\beta _{3})q^{3}+\beta _{1}q^{5}+q^{7}+(3-\beta _{4})q^{9}+\cdots$$
1288.2.f.a $$24$$ $$10.285$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1288.2.f.b $$24$$ $$10.285$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1288.2.q.a $$22$$ $$10.285$$ None None $$0$$ $$-4$$ $$-1$$ $$1$$
1288.2.q.b $$22$$ $$10.285$$ None None $$0$$ $$2$$ $$-9$$ $$-1$$
1288.2.q.c $$22$$ $$10.285$$ None None $$0$$ $$2$$ $$7$$ $$-1$$
1288.2.q.d $$22$$ $$10.285$$ None None $$0$$ $$4$$ $$3$$ $$1$$
1288.2.ba.a $$48$$ $$10.285$$ None None $$0$$ $$-6$$ $$0$$ $$0$$
1288.2.ba.b $$48$$ $$10.285$$ None None $$0$$ $$6$$ $$0$$ $$0$$
1288.3.d.a $$88$$ $$35.095$$ None None $$0$$ $$0$$ $$0$$ $$-8$$
1288.3.k.a $$72$$ $$35.095$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1288.4.a.a $$11$$ $$75.994$$ $$\mathbb{Q}[x]/(x^{11} - \cdots)$$ None None $$0$$ $$-3$$ $$-24$$ $$77$$ $$-$$ $$q-\beta _{1}q^{3}+(-2-\beta _{7})q^{5}+7q^{7}+(5+\cdots)q^{9}+\cdots$$
1288.4.a.b $$11$$ $$75.994$$ $$\mathbb{Q}[x]/(x^{11} - \cdots)$$ None None $$0$$ $$11$$ $$12$$ $$-77$$ $$+$$ $$q+(1-\beta _{1})q^{3}+(1+\beta _{4})q^{5}-7q^{7}+(8+\cdots)q^{9}+\cdots$$
1288.4.a.c $$12$$ $$75.994$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$-7$$ $$-18$$ $$84$$ $$-$$ $$q+(-1+\beta _{1})q^{3}+(-2-\beta _{5})q^{5}+7q^{7}+\cdots$$
1288.4.a.d $$12$$ $$75.994$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$-3$$ $$-14$$ $$-84$$ $$-$$ $$q-\beta _{1}q^{3}+(-1-\beta _{4})q^{5}-7q^{7}+(7+\cdots)q^{9}+\cdots$$
1288.4.a.e $$12$$ $$75.994$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$11$$ $$-8$$ $$84$$ $$+$$ $$q+(1-\beta _{1})q^{3}+(-1-\beta _{4})q^{5}+7q^{7}+\cdots$$
1288.4.a.f $$13$$ $$75.994$$ $$\mathbb{Q}[x]/(x^{13} - \cdots)$$ None None $$0$$ $$-7$$ $$2$$ $$-91$$ $$-$$ $$q+(-1+\beta _{1})q^{3}+\beta _{6}q^{5}-7q^{7}+(11+\cdots)q^{9}+\cdots$$
1288.4.a.g $$14$$ $$75.994$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$0$$ $$-3$$ $$16$$ $$-98$$ $$+$$ $$q-\beta _{1}q^{3}+(1-\beta _{5})q^{5}-7q^{7}+(10+\beta _{2}+\cdots)q^{9}+\cdots$$
1288.4.a.h $$15$$ $$75.994$$ $$\mathbb{Q}[x]/(x^{15} - \cdots)$$ None None $$0$$ $$-3$$ $$6$$ $$105$$ $$+$$ $$q-\beta _{1}q^{3}+\beta _{3}q^{5}+7q^{7}+(13+\beta _{2}+\cdots)q^{9}+\cdots$$