## Results (1-50 of 59 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1287.1.g.a $$2$$ $$0.642$$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-143})$$ None $$-1$$ $$0$$ $$0$$ $$1$$ $$q-\beta q^{2}+\beta q^{4}+(1-\beta )q^{7}-q^{8}+q^{11}+\cdots$$
1287.1.g.b $$2$$ $$0.642$$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-143})$$ None $$1$$ $$0$$ $$0$$ $$-1$$ $$q+\beta q^{2}+\beta q^{4}+(-1+\beta )q^{7}+q^{8}+\cdots$$
1287.1.g.c $$4$$ $$0.642$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{8}+\zeta_{8}^{3})q^{2}+q^{4}+(-\zeta_{8}-\zeta_{8}^{3}+\cdots)q^{5}+\cdots$$
1287.1.s.a $$4$$ $$0.642$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$-4$$ $$2$$ $$0$$ $$q-q^{3}+q^{4}+\zeta_{12}^{2}q^{5}+\zeta_{12}^{5}q^{7}+\cdots$$
1287.1.ba.a $$2$$ $$0.642$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-143})$$ None $$-1$$ $$-1$$ $$0$$ $$2$$ $$q+\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{6}-\zeta_{6}^{2}q^{7}+\cdots$$
1287.1.ba.b $$2$$ $$0.642$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-143})$$ None $$1$$ $$-1$$ $$0$$ $$-2$$ $$q-\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}q^{6}+\zeta_{6}^{2}q^{7}+\cdots$$
1287.1.ba.c $$8$$ $$0.642$$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-143})$$ None $$-1$$ $$1$$ $$0$$ $$2$$ $$q+(\zeta_{30}^{4}+\zeta_{30}^{6})q^{2}-\zeta_{30}^{11}q^{3}+(\zeta_{30}^{8}+\cdots)q^{4}+\cdots$$
1287.1.ba.d $$8$$ $$0.642$$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-143})$$ None $$1$$ $$1$$ $$0$$ $$-2$$ $$q+(-\zeta_{30}^{4}-\zeta_{30}^{6})q^{2}-\zeta_{30}^{11}q^{3}+\cdots$$
1287.1.bg.a $$4$$ $$0.642$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$2$$ $$2$$ $$0$$ $$q-\zeta_{12}^{4}q^{3}-\zeta_{12}^{2}q^{4}-\zeta_{12}^{4}q^{5}+\cdots$$
1287.1.bu.a $$16$$ $$0.642$$ $$\Q(\zeta_{40})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{40}^{9}+\zeta_{40}^{15})q^{2}+(-\zeta_{40}^{4}-\zeta_{40}^{10}+\cdots)q^{4}+\cdots$$
1287.2.a.a $$1$$ $$10.277$$ $$\Q$$ None None $$-1$$ $$0$$ $$2$$ $$-2$$ $$+$$ $$q-q^{2}-q^{4}+2q^{5}-2q^{7}+3q^{8}-2q^{10}+\cdots$$
1287.2.a.b $$1$$ $$10.277$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-2$$ $$+$$ $$q-2q^{4}+q^{5}-2q^{7}+q^{11}-q^{13}+\cdots$$
1287.2.a.c $$1$$ $$10.277$$ $$\Q$$ None None $$1$$ $$0$$ $$-2$$ $$-2$$ $$-$$ $$q+q^{2}-q^{4}-2q^{5}-2q^{7}-3q^{8}-2q^{10}+\cdots$$
1287.2.a.d $$1$$ $$10.277$$ $$\Q$$ None None $$1$$ $$0$$ $$0$$ $$0$$ $$+$$ $$q+q^{2}-q^{4}-3q^{8}-q^{11}+q^{13}-q^{16}+\cdots$$
1287.2.a.e $$1$$ $$10.277$$ $$\Q$$ None None $$1$$ $$0$$ $$2$$ $$0$$ $$-$$ $$q+q^{2}-q^{4}+2q^{5}-3q^{8}+2q^{10}+\cdots$$
1287.2.a.f $$2$$ $$10.277$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$2$$ $$-4$$ $$+$$ $$q+\beta q^{2}+q^{4}+(1-\beta )q^{5}-2q^{7}-\beta q^{8}+\cdots$$
1287.2.a.g $$2$$ $$10.277$$ $$\Q(\sqrt{2})$$ None None $$2$$ $$0$$ $$4$$ $$-4$$ $$-$$ $$q+(1+\beta )q^{2}+(1+2\beta )q^{4}+(2+\beta )q^{5}+\cdots$$
1287.2.a.h $$3$$ $$10.277$$ 3.3.148.1 None None $$-3$$ $$0$$ $$-4$$ $$-2$$ $$+$$ $$q+(-1-\beta _{2})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots$$
1287.2.a.i $$3$$ $$10.277$$ 3.3.148.1 None None $$-1$$ $$0$$ $$0$$ $$-2$$ $$+$$ $$q-\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}+\beta _{2}q^{5}+(-1+\cdots)q^{7}+\cdots$$
1287.2.a.j $$3$$ $$10.277$$ 3.3.564.1 None None $$1$$ $$0$$ $$2$$ $$2$$ $$-$$ $$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots$$
1287.2.a.k $$4$$ $$10.277$$ 4.4.1957.1 None None $$-3$$ $$0$$ $$0$$ $$6$$ $$-$$ $$q+(-1-\beta _{1}-\beta _{2})q^{2}+(1+2\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
1287.2.a.l $$4$$ $$10.277$$ 4.4.11344.1 None None $$-2$$ $$0$$ $$-6$$ $$6$$ $$+$$ $$q+\beta _{2}q^{2}+(1+\beta _{1}-\beta _{2})q^{4}+(-1-\beta _{1}+\cdots)q^{5}+\cdots$$
1287.2.a.m $$4$$ $$10.277$$ 4.4.8468.1 None None $$2$$ $$0$$ $$0$$ $$2$$ $$-$$ $$q-\beta _{2}q^{2}+(2-\beta _{1})q^{4}-\beta _{3}q^{5}+(1+\beta _{2}+\cdots)q^{7}+\cdots$$
1287.2.a.n $$4$$ $$10.277$$ 4.4.11344.1 None None $$2$$ $$0$$ $$6$$ $$6$$ $$-$$ $$q-\beta _{2}q^{2}+(1+\beta _{1}-\beta _{2})q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots$$
1287.2.a.o $$5$$ $$10.277$$ 5.5.368464.1 None None $$-3$$ $$0$$ $$-4$$ $$-4$$ $$+$$ $$q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots$$
1287.2.a.p $$5$$ $$10.277$$ 5.5.368464.1 None None $$3$$ $$0$$ $$4$$ $$-4$$ $$-$$ $$q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots$$
1287.2.a.q $$6$$ $$10.277$$ 6.6.194616205.1 None None $$0$$ $$0$$ $$-1$$ $$4$$ $$-$$ $$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{5}q^{5}+(\beta _{1}+\cdots)q^{7}+\cdots$$
1287.2.b.a $$10$$ $$10.277$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(-1+\beta _{2})q^{4}+(-\beta _{5}+\beta _{7}+\cdots)q^{5}+\cdots$$
1287.2.b.b $$12$$ $$10.277$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(-1+\beta _{4}-\beta _{5})q^{4}+(-\beta _{6}+\cdots)q^{5}+\cdots$$
1287.2.b.c $$14$$ $$10.277$$ $$\mathbb{Q}[x]/(x^{14} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(-1-\beta _{5}+\beta _{6})q^{4}+(\beta _{2}+\cdots)q^{5}+\cdots$$
1287.2.b.d $$20$$ $$10.277$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{12}q^{2}+(-1-\beta _{8})q^{4}+(\beta _{10}+\beta _{11}+\cdots)q^{5}+\cdots$$
1287.2.e.a $$4$$ $$10.277$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$-8$$ $$q+(\zeta_{8}+\zeta_{8}^{2})q^{2}+(-1-2\zeta_{8}^{3})q^{4}+\cdots$$
1287.2.e.b $$4$$ $$10.277$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$-8$$ $$q+(\zeta_{8}+\zeta_{8}^{2})q^{2}+(-1-2\zeta_{8}^{3})q^{4}+\cdots$$
1287.2.e.c $$4$$ $$10.277$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$8$$ $$q+(\zeta_{8}+\zeta_{8}^{2})q^{2}+(-1-2\zeta_{8}^{3})q^{4}+\cdots$$
1287.2.e.d $$4$$ $$10.277$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$8$$ $$q+(\zeta_{8}+\zeta_{8}^{2})q^{2}+(-1-2\zeta_{8}^{3})q^{4}+\cdots$$
1287.2.e.e $$40$$ $$10.277$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1287.2.f.a $$48$$ $$10.277$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1287.2.m.a $$4$$ $$10.277$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{2}-\zeta_{8}^{2}q^{4}-3\zeta_{8}^{3}q^{8}-\zeta_{8}^{3}q^{11}+\cdots$$
1287.2.m.b $$40$$ $$10.277$$ None None $$0$$ $$0$$ $$0$$ $$8$$
1287.2.m.c $$44$$ $$10.277$$ None None $$0$$ $$0$$ $$0$$ $$8$$
1287.3.c.a $$80$$ $$35.068$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1287.3.h.a $$96$$ $$35.068$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1287.4.a.a $$1$$ $$75.935$$ $$\Q$$ None None $$1$$ $$0$$ $$19$$ $$19$$ $$-$$ $$q+q^{2}-7q^{4}+19q^{5}+19q^{7}-15q^{8}+\cdots$$
1287.4.a.b $$4$$ $$75.935$$ 4.4.297133.1 None None $$0$$ $$0$$ $$6$$ $$-17$$ $$-$$ $$q-\beta _{1}q^{2}+(2+\beta _{1}+2\beta _{2})q^{4}+(2+3\beta _{1}+\cdots)q^{5}+\cdots$$
1287.4.a.c $$6$$ $$75.935$$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None None $$-1$$ $$0$$ $$-13$$ $$-25$$ $$-$$ $$q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-2-\beta _{4})q^{5}+\cdots$$
1287.4.a.d $$6$$ $$75.935$$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None None $$0$$ $$0$$ $$-16$$ $$-22$$ $$-$$ $$q+\beta _{1}q^{2}+(5+\beta _{1}+\beta _{2})q^{4}+(-2-\beta _{3}+\cdots)q^{5}+\cdots$$
1287.4.a.e $$6$$ $$75.935$$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None None $$5$$ $$0$$ $$17$$ $$-31$$ $$+$$ $$q+(1-\beta _{1})q^{2}+(1-\beta _{1}+\beta _{3}+\beta _{4})q^{4}+\cdots$$
1287.4.a.f $$6$$ $$75.935$$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None None $$6$$ $$0$$ $$8$$ $$-53$$ $$-$$ $$q+(1-\beta _{1})q^{2}+(4-\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots$$
1287.4.a.g $$7$$ $$75.935$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$3$$ $$0$$ $$33$$ $$3$$ $$+$$ $$q+\beta _{1}q^{2}+(3+\beta _{1}+\beta _{2})q^{4}+(5-\beta _{5}+\cdots)q^{5}+\cdots$$
1287.4.a.h $$8$$ $$75.935$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$-7$$ $$0$$ $$-7$$ $$39$$ $$-$$ $$q+(-1+\beta _{1})q^{2}+(4-\beta _{1}+\beta _{2})q^{4}+\cdots$$