## Results (1-50 of 64 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1716.1.m.a $$1$$ $$0.856$$ $$\Q$$ $$\Q(\sqrt{-143})$$, $$\Q(\sqrt{-429})$$ $$\Q(\sqrt{3})$$ $$-1$$ $$-1$$ $$0$$ $$0$$ $$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$$
1716.1.m.b $$1$$ $$0.856$$ $$\Q$$ $$\Q(\sqrt{-143})$$, $$\Q(\sqrt{-429})$$ $$\Q(\sqrt{3})$$ $$-1$$ $$1$$ $$0$$ $$0$$ $$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$$
1716.1.m.c $$1$$ $$0.856$$ $$\Q$$ $$\Q(\sqrt{-143})$$, $$\Q(\sqrt{-429})$$ $$\Q(\sqrt{3})$$ $$1$$ $$-1$$ $$0$$ $$0$$ $$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$$
1716.1.m.d $$1$$ $$0.856$$ $$\Q$$ $$\Q(\sqrt{-143})$$, $$\Q(\sqrt{-429})$$ $$\Q(\sqrt{3})$$ $$1$$ $$1$$ $$0$$ $$0$$ $$q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots$$
1716.1.m.e $$4$$ $$0.856$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-143})$$ None $$-1$$ $$-1$$ $$0$$ $$0$$ $$q+\zeta_{10}^{2}q^{2}-\zeta_{10}^{3}q^{3}+\zeta_{10}^{4}q^{4}+\cdots$$
1716.1.m.f $$4$$ $$0.856$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-143})$$ None $$-1$$ $$1$$ $$0$$ $$0$$ $$q-\zeta_{10}q^{2}+\zeta_{10}q^{3}+\zeta_{10}^{2}q^{4}-\zeta_{10}^{2}q^{6}+\cdots$$
1716.1.m.g $$4$$ $$0.856$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{2}+\zeta_{8}^{2}q^{3}+\zeta_{8}^{2}q^{4}+(-\zeta_{8}+\cdots)q^{5}+\cdots$$
1716.1.m.h $$4$$ $$0.856$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{3}-\zeta_{8}^{2}q^{4}+(-\zeta_{8}+\cdots)q^{5}+\cdots$$
1716.1.m.i $$4$$ $$0.856$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-143})$$ None $$1$$ $$-1$$ $$0$$ $$0$$ $$q-\zeta_{10}^{2}q^{2}-\zeta_{10}^{3}q^{3}+\zeta_{10}^{4}q^{4}+\cdots$$
1716.1.m.j $$4$$ $$0.856$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-143})$$ None $$1$$ $$1$$ $$0$$ $$0$$ $$q+\zeta_{10}q^{2}+\zeta_{10}q^{3}+\zeta_{10}^{2}q^{4}+\zeta_{10}^{2}q^{6}+\cdots$$
1716.1.bt.a $$16$$ $$0.856$$ $$\Q(\zeta_{40})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{40}^{15}q^{2}+\zeta_{40}^{14}q^{3}-\zeta_{40}^{10}q^{4}+\cdots$$
1716.1.bt.b $$16$$ $$0.856$$ $$\Q(\zeta_{40})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{40}^{11}q^{2}+\zeta_{40}^{14}q^{3}-\zeta_{40}^{2}q^{4}+\cdots$$
1716.2.a.a $$1$$ $$13.702$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-2$$ $$+$$ $$q-q^{3}-2q^{7}+q^{9}-q^{11}+q^{13}-2q^{17}+\cdots$$
1716.2.a.b $$1$$ $$13.702$$ $$\Q$$ None None $$0$$ $$1$$ $$-2$$ $$-2$$ $$+$$ $$q+q^{3}-2q^{5}-2q^{7}+q^{9}+q^{11}+q^{13}+\cdots$$
1716.2.a.c $$1$$ $$13.702$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$2$$ $$-$$ $$q+q^{3}+2q^{7}+q^{9}-q^{11}+q^{13}+6q^{17}+\cdots$$
1716.2.a.d $$2$$ $$13.702$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$-2$$ $$-2$$ $$0$$ $$+$$ $$q-q^{3}+(-1+\beta )q^{5}+q^{9}+q^{11}-q^{13}+\cdots$$
1716.2.a.e $$2$$ $$13.702$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$2$$ $$-4$$ $$0$$ $$+$$ $$q+q^{3}+(-2+\beta )q^{5}-2\beta q^{7}+q^{9}+\cdots$$
1716.2.a.f $$3$$ $$13.702$$ 3.3.1620.1 None None $$0$$ $$-3$$ $$0$$ $$0$$ $$-$$ $$q-q^{3}+\beta _{1}q^{5}+\beta _{2}q^{7}+q^{9}-q^{11}+\cdots$$
1716.2.a.g $$3$$ $$13.702$$ 3.3.564.1 None None $$0$$ $$3$$ $$2$$ $$4$$ $$-$$ $$q+q^{3}+(1-\beta _{1})q^{5}+(1-\beta _{2})q^{7}+q^{9}+\cdots$$
1716.2.a.h $$3$$ $$13.702$$ 3.3.404.1 None None $$0$$ $$3$$ $$4$$ $$-4$$ $$-$$ $$q+q^{3}+(1+2\beta _{1}-\beta _{2})q^{5}+(-2+\beta _{1}+\cdots)q^{7}+\cdots$$
1716.2.a.i $$4$$ $$13.702$$ 4.4.90996.1 None None $$0$$ $$-4$$ $$2$$ $$2$$ $$-$$ $$q-q^{3}-\beta _{1}q^{5}+(1+\beta _{2})q^{7}+q^{9}+q^{11}+\cdots$$
1716.2.d.a $$48$$ $$13.702$$ None None $$0$$ $$2$$ $$0$$ $$0$$
1716.2.e.a $$10$$ $$13.702$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$0$$ $$-10$$ $$0$$ $$0$$ $$q-q^{3}-\beta _{8}q^{5}+(-\beta _{8}-\beta _{9})q^{7}+q^{9}+\cdots$$
1716.2.e.b $$10$$ $$13.702$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$0$$ $$10$$ $$0$$ $$0$$ $$q+q^{3}-\beta _{6}q^{5}+\beta _{9}q^{7}+q^{9}-\beta _{3}q^{11}+\cdots$$
1716.2.p.a $$56$$ $$13.702$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1716.2.q.a $$2$$ $$13.702$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$2$$ $$-2$$ $$q+(-1+\zeta_{6})q^{3}+q^{5}-2\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots$$
1716.2.q.b $$12$$ $$13.702$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$-6$$ $$0$$ $$2$$ $$q+\beta _{5}q^{3}-\beta _{3}q^{5}-\beta _{4}q^{7}+(-1-\beta _{5}+\cdots)q^{9}+\cdots$$
1716.2.q.c $$12$$ $$13.702$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$6$$ $$-6$$ $$1$$ $$q-\beta _{5}q^{3}-\beta _{4}q^{5}-\beta _{7}q^{7}+(-1-\beta _{5}+\cdots)q^{9}+\cdots$$
1716.2.q.d $$12$$ $$13.702$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$6$$ $$2$$ $$1$$ $$q+(1+\beta _{4})q^{3}-\beta _{9}q^{5}+(\beta _{3}-\beta _{10})q^{7}+\cdots$$
1716.2.q.e $$14$$ $$13.702$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$0$$ $$-7$$ $$-6$$ $$0$$ $$q+(-1+\beta _{1})q^{3}-\beta _{9}q^{5}+(-\beta _{4}-\beta _{10}+\cdots)q^{7}+\cdots$$
1716.2.v.a $$4$$ $$13.702$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$4$$ $$4$$ $$-4$$ $$q+q^{3}+(1+\zeta_{8}+\zeta_{8}^{2}+\zeta_{8}^{3})q^{5}+(-1+\cdots)q^{7}+\cdots$$
1716.2.v.b $$4$$ $$13.702$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$4$$ $$4$$ $$4$$ $$q+q^{3}+(1+\zeta_{8}+\zeta_{8}^{2}+\zeta_{8}^{3})q^{5}+(1+\cdots)q^{7}+\cdots$$
1716.2.v.c $$20$$ $$13.702$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None None $$0$$ $$20$$ $$-12$$ $$0$$ $$q+q^{3}+(-1+\beta _{6}-\beta _{9})q^{5}+(-\beta _{5}+\cdots)q^{7}+\cdots$$
1716.2.v.d $$28$$ $$13.702$$ None None $$0$$ $$-28$$ $$4$$ $$0$$
1716.2.x.a $$96$$ $$13.702$$ None None $$0$$ $$0$$ $$0$$ $$-8$$
1716.2.z.a $$4$$ $$13.702$$ $$\Q(\zeta_{10})$$ None None $$0$$ $$1$$ $$0$$ $$2$$ $$q-\zeta_{10}^{2}q^{3}+(1-3\zeta_{10}+\zeta_{10}^{2})q^{5}+\cdots$$
1716.2.z.b $$4$$ $$13.702$$ $$\Q(\zeta_{10})$$ None None $$0$$ $$1$$ $$2$$ $$-2$$ $$q-\zeta_{10}^{2}q^{3}+(1-\zeta_{10}+\zeta_{10}^{2})q^{5}+\cdots$$
1716.2.z.c $$4$$ $$13.702$$ $$\Q(\zeta_{10})$$ None None $$0$$ $$1$$ $$4$$ $$-6$$ $$q-\zeta_{10}^{2}q^{3}+(1+\zeta_{10}+\zeta_{10}^{2})q^{5}+\cdots$$
1716.2.z.d $$16$$ $$13.702$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$4$$ $$-2$$ $$1$$ $$q+\beta _{10}q^{3}+(-1+\beta _{3}+\beta _{4}-\beta _{6}+\beta _{10}+\cdots)q^{5}+\cdots$$
1716.2.z.e $$20$$ $$13.702$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$0$$ $$-5$$ $$2$$ $$-9$$ $$q-\beta _{3}q^{3}+\beta _{1}q^{5}+(-1+\beta _{3}-\beta _{6}+\cdots)q^{7}+\cdots$$
1716.2.z.f $$20$$ $$13.702$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$0$$ $$5$$ $$4$$ $$-1$$ $$q-\beta _{8}q^{3}+(1-\beta _{4}+\beta _{8}+\beta _{16})q^{5}+\cdots$$
1716.2.z.g $$28$$ $$13.702$$ None None $$0$$ $$-7$$ $$-2$$ $$-5$$
1716.2.be.a $$20$$ $$13.702$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$0$$ $$-10$$ $$0$$ $$6$$ $$q+(-1-\beta _{11})q^{3}+(-\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{5}+\cdots$$
1716.2.be.b $$24$$ $$13.702$$ None None $$0$$ $$12$$ $$0$$ $$-12$$
1716.3.f.a $$80$$ $$46.758$$ None None $$0$$ $$-2$$ $$0$$ $$0$$
1716.3.g.a $$56$$ $$46.758$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1716.3.j.a $$92$$ $$46.758$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1716.3.k.a $$48$$ $$46.758$$ None None $$0$$ $$0$$ $$-8$$ $$0$$
1716.3.s.a $$96$$ $$46.758$$ None None $$0$$ $$0$$ $$-24$$ $$16$$
1716.4.a.a $$1$$ $$101.247$$ $$\Q$$ None None $$0$$ $$-3$$ $$-9$$ $$-25$$ $$+$$ $$q-3q^{3}-9q^{5}-5^{2}q^{7}+9q^{9}-11q^{11}+\cdots$$