## Results (1-50 of 192 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
931.1.b.a $$1$$ $$0.465$$ $$\Q$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$-1$$ $$0$$ $$q+q^{4}-q^{5}+q^{9}-q^{11}+q^{16}+2q^{17}+\cdots$$
931.1.b.b $$1$$ $$0.465$$ $$\Q$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$1$$ $$0$$ $$q+q^{4}+q^{5}+q^{9}-q^{11}+q^{16}-2q^{17}+\cdots$$
931.1.k.a $$4$$ $$0.465$$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{4}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}q^{5}+\zeta_{12}q^{6}+\cdots$$
931.1.r.a $$2$$ $$0.465$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$-1$$ $$0$$ $$q+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{11}+\cdots$$
931.1.t.a $$4$$ $$0.465$$ $$\Q(\zeta_{12})$$ None None $$4$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+\zeta_{12}^{5}q^{3}+\zeta_{12}^{3}q^{5}+\zeta_{12}^{5}q^{6}+\cdots$$
931.1.ba.a $$6$$ $$0.465$$ $$\Q(\zeta_{14})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$-2$$ $$-1$$ $$q-\zeta_{14}^{5}q^{4}+(\zeta_{14}^{2}+\zeta_{14}^{6})q^{5}+\zeta_{14}^{4}q^{7}+\cdots$$
931.1.bq.a $$12$$ $$0.465$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$-1$$ $$1$$ $$q-\zeta_{42}^{17}q^{4}+(-\zeta_{42}^{5}+\zeta_{42}^{18})q^{5}+\cdots$$
931.2.a.a $$1$$ $$7.434$$ $$\Q$$ None None $$0$$ $$2$$ $$-3$$ $$0$$ $$-$$ $$q+2q^{3}-2q^{4}-3q^{5}+q^{9}+3q^{11}+\cdots$$
931.2.a.b $$1$$ $$7.434$$ $$\Q$$ None None $$2$$ $$-2$$ $$-3$$ $$0$$ $$-$$ $$q+2q^{2}-2q^{3}+2q^{4}-3q^{5}-4q^{6}+\cdots$$
931.2.a.c $$1$$ $$7.434$$ $$\Q$$ None None $$2$$ $$2$$ $$3$$ $$0$$ $$-$$ $$q+2q^{2}+2q^{3}+2q^{4}+3q^{5}+4q^{6}+\cdots$$
931.2.a.d $$2$$ $$7.434$$ $$\Q(\sqrt{5})$$ None None $$-3$$ $$3$$ $$0$$ $$0$$ $$+$$ $$q+(-1-\beta )q^{2}+(1+\beta )q^{3}+3\beta q^{4}+\cdots$$
931.2.a.e $$2$$ $$7.434$$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$0$$ $$-2$$ $$0$$ $$+$$ $$q+(-1+\beta )q^{2}+\beta q^{3}+(1-2\beta )q^{4}+\cdots$$
931.2.a.f $$2$$ $$7.434$$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$0$$ $$2$$ $$0$$ $$+$$ $$q+(-1+\beta )q^{2}-\beta q^{3}+(1-2\beta )q^{4}+\cdots$$
931.2.a.g $$2$$ $$7.434$$ $$\Q(\sqrt{13})$$ None None $$-1$$ $$3$$ $$6$$ $$0$$ $$-$$ $$q-\beta q^{2}+(2-\beta )q^{3}+(1+\beta )q^{4}+3q^{5}+\cdots$$
931.2.a.h $$2$$ $$7.434$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$q+\beta q^{2}-\beta q^{3}+2\beta q^{5}-2q^{6}-2\beta q^{8}+\cdots$$
931.2.a.i $$2$$ $$7.434$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$q+\beta q^{2}+\beta q^{3}-2\beta q^{5}+2q^{6}-2\beta q^{8}+\cdots$$
931.2.a.j $$2$$ $$7.434$$ $$\Q(\sqrt{5})$$ None None $$1$$ $$-3$$ $$-2$$ $$0$$ $$+$$ $$q+\beta q^{2}+(-2+\beta )q^{3}+(-1+\beta )q^{4}+\cdots$$
931.2.a.k $$3$$ $$7.434$$ 3.3.229.1 None None $$2$$ $$-3$$ $$2$$ $$0$$ $$-$$ $$q+(1+\beta _{2})q^{2}+(-1+\beta _{1})q^{3}+(2+\beta _{1}+\cdots)q^{4}+\cdots$$
931.2.a.l $$4$$ $$7.434$$ 4.4.5744.1 None None $$0$$ $$-2$$ $$-8$$ $$0$$ $$+$$ $$q+\beta _{1}q^{2}-\beta _{2}q^{3}+(\beta _{1}+\beta _{2}+\beta _{3})q^{4}+\cdots$$
931.2.a.m $$4$$ $$7.434$$ 4.4.5744.1 None None $$0$$ $$2$$ $$8$$ $$0$$ $$-$$ $$q+\beta _{1}q^{2}+\beta _{2}q^{3}+(\beta _{1}+\beta _{2}+\beta _{3})q^{4}+\cdots$$
931.2.a.n $$7$$ $$7.434$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$2$$ $$-2$$ $$-2$$ $$0$$ $$-$$ $$q+\beta _{3}q^{2}-\beta _{2}q^{3}+(1+\beta _{3}-\beta _{5})q^{4}+\cdots$$
931.2.a.o $$7$$ $$7.434$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$2$$ $$2$$ $$2$$ $$0$$ $$-$$ $$q+\beta _{3}q^{2}+\beta _{2}q^{3}+(1+\beta _{3}-\beta _{5})q^{4}+\cdots$$
931.2.a.p $$10$$ $$7.434$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$-2$$ $$-4$$ $$-16$$ $$0$$ $$+$$ $$q-\beta _{1}q^{2}-\beta _{4}q^{3}+(1+\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots$$
931.2.a.q $$10$$ $$7.434$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$-2$$ $$4$$ $$16$$ $$0$$ $$-$$ $$q-\beta _{1}q^{2}+\beta _{4}q^{3}+(1+\beta _{2})q^{4}+(2+\beta _{9})q^{5}+\cdots$$
931.2.c.a $$4$$ $$7.434$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+(\zeta_{12}-\zeta_{12}^{2})q^{2}+(-1-\zeta_{12}^{3})q^{3}+\cdots$$
931.2.c.b $$4$$ $$7.434$$ $$\Q(\sqrt{-3}, \sqrt{-19})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2q^{4}+(\beta _{1}+\beta _{3})q^{5}-3q^{9}+(-3+\cdots)q^{11}+\cdots$$
931.2.c.c $$4$$ $$7.434$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+(\zeta_{12}-\zeta_{12}^{2})q^{2}+(1+\zeta_{12}^{3})q^{3}+\cdots$$
931.2.c.d $$6$$ $$7.434$$ 6.0.6967728.1 None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q-\beta _{3}q^{2}+(-1-\beta _{1})q^{3}-q^{4}+\beta _{4}q^{5}+\cdots$$
931.2.c.e $$6$$ $$7.434$$ 6.0.6967728.1 None None $$0$$ $$4$$ $$0$$ $$0$$ $$q-\beta _{3}q^{2}+(1+\beta _{1})q^{3}-q^{4}-\beta _{4}q^{5}+\cdots$$
931.2.c.f $$40$$ $$7.434$$ None None $$0$$ $$0$$ $$0$$ $$0$$
931.2.e.a $$4$$ $$7.434$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None None $$-1$$ $$0$$ $$2$$ $$0$$ $$q-\beta _{1}q^{2}+(-1+2\beta _{1}-\beta _{3})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots$$
931.2.e.b $$6$$ $$7.434$$ 6.0.309123.1 None None $$-2$$ $$1$$ $$-3$$ $$0$$ $$q+(-\beta _{1}-\beta _{4}+\beta _{5})q^{2}+(-\beta _{1}+\beta _{5})q^{3}+\cdots$$
931.2.e.c $$10$$ $$7.434$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$1$$ $$-3$$ $$1$$ $$0$$ $$q+\beta _{1}q^{2}+(-\beta _{6}-\beta _{7})q^{3}+(-1+\beta _{6}+\cdots)q^{4}+\cdots$$
931.2.e.d $$20$$ $$7.434$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{5}-\beta _{8})q^{2}+\beta _{3}q^{3}+(-1-\beta _{2}+\cdots)q^{4}+\cdots$$
931.2.e.e $$24$$ $$7.434$$ None None $$1$$ $$-3$$ $$0$$ $$0$$
931.2.e.f $$24$$ $$7.434$$ None None $$1$$ $$3$$ $$0$$ $$0$$
931.2.e.g $$40$$ $$7.434$$ None None $$4$$ $$0$$ $$0$$ $$0$$
931.2.f.a $$2$$ $$7.434$$ $$\Q(\sqrt{-3})$$ None None $$-2$$ $$2$$ $$3$$ $$0$$ $$q-2\zeta_{6}q^{2}+(2-2\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{4}+\cdots$$
931.2.f.b $$2$$ $$7.434$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-2$$ $$3$$ $$0$$ $$q+(-2+2\zeta_{6})q^{3}+(2-2\zeta_{6})q^{4}+3\zeta_{6}q^{5}+\cdots$$
931.2.f.c $$2$$ $$7.434$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$2$$ $$-3$$ $$0$$ $$q+(2-2\zeta_{6})q^{3}+(2-2\zeta_{6})q^{4}-3\zeta_{6}q^{5}+\cdots$$
931.2.f.d $$4$$ $$7.434$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None None $$-1$$ $$-3$$ $$-2$$ $$0$$ $$q-\beta _{1}q^{2}+(-\beta _{1}-\beta _{2}+2\beta _{3})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots$$
931.2.f.e $$4$$ $$7.434$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None None $$-1$$ $$3$$ $$2$$ $$0$$ $$q-\beta _{1}q^{2}+(\beta _{1}+\beta _{2}-2\beta _{3})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots$$
931.2.f.f $$4$$ $$7.434$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(\beta _{1}+\beta _{3})q^{3}+2\beta _{1}q^{5}-2q^{6}+\cdots$$
931.2.f.g $$4$$ $$7.434$$ $$\Q(\sqrt{-3}, \sqrt{13})$$ None None $$1$$ $$-3$$ $$-6$$ $$0$$ $$q+\beta _{1}q^{2}+(1-\beta _{1}+2\beta _{2}-\beta _{3})q^{3}+\cdots$$
931.2.f.h $$4$$ $$7.434$$ $$\Q(\sqrt{-3}, \sqrt{13})$$ None None $$1$$ $$3$$ $$6$$ $$0$$ $$q+\beta _{1}q^{2}+(-1+\beta _{1}-2\beta _{2}+\beta _{3})q^{3}+\cdots$$
931.2.f.i $$4$$ $$7.434$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$2$$ $$0$$ $$2$$ $$0$$ $$q+(1+\beta _{1}+\beta _{2})q^{2}+(-\beta _{1}-\beta _{3})q^{3}+\cdots$$
931.2.f.j $$4$$ $$7.434$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None None $$3$$ $$-3$$ $$0$$ $$0$$ $$q+(1+\beta _{1}+\beta _{3})q^{2}+(\beta _{1}+\beta _{2}+\beta _{3})q^{3}+\cdots$$
931.2.f.k $$4$$ $$7.434$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None None $$3$$ $$3$$ $$0$$ $$0$$ $$q+(1+\beta _{1}+\beta _{3})q^{2}+(-\beta _{1}-\beta _{2}-\beta _{3})q^{3}+\cdots$$
931.2.f.l $$6$$ $$7.434$$ 6.0.1415907.1 None None $$-2$$ $$-3$$ $$2$$ $$0$$ $$q+(\beta _{4}+\beta _{5})q^{2}+(-1-\beta _{1}-\beta _{4})q^{3}+\cdots$$
931.2.f.m $$6$$ $$7.434$$ 6.0.1415907.1 None None $$-2$$ $$3$$ $$-2$$ $$0$$ $$q+(\beta _{4}+\beta _{5})q^{2}+(1+\beta _{1}+\beta _{4})q^{3}+(-2+\cdots)q^{4}+\cdots$$