## Results (1-50 of 113 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1232.1.m.a $$2$$ $$0.615$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-77})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-\beta q^{3}-q^{7}+q^{9}+q^{11}-\beta q^{13}+\cdots$$
1232.1.m.b $$2$$ $$0.615$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-77})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q-\beta q^{3}+q^{7}+q^{9}-q^{11}+\beta q^{13}+\cdots$$
1232.1.u.a $$2$$ $$0.615$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}-q^{4}+iq^{7}+iq^{8}+iq^{9}+\cdots$$
1232.1.u.b $$2$$ $$0.615$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-q^{4}-iq^{7}-iq^{8}+iq^{9}+\cdots$$
1232.1.cd.a $$4$$ $$0.615$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q+\zeta_{10}^{3}q^{7}+\zeta_{10}^{4}q^{9}+\zeta_{10}q^{11}+\cdots$$
1232.1.cq.a $$8$$ $$0.615$$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{20}^{7}q^{2}-\zeta_{20}^{4}q^{4}-\zeta_{20}^{3}q^{7}+\cdots$$
1232.1.cq.b $$8$$ $$0.615$$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{20}q^{2}+\zeta_{20}^{2}q^{4}-\zeta_{20}^{3}q^{7}+\zeta_{20}^{3}q^{8}+\cdots$$
1232.1.cr.a $$8$$ $$0.615$$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{20}^{9}q^{2}-\zeta_{20}^{8}q^{4}+\zeta_{20}^{7}q^{7}+\cdots$$
1232.1.cr.b $$8$$ $$0.615$$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{20}^{3}q^{2}+\zeta_{20}^{6}q^{4}-\zeta_{20}^{7}q^{7}+\cdots$$
1232.2.a.a $$1$$ $$9.838$$ $$\Q$$ None None $$0$$ $$-2$$ $$-2$$ $$1$$ $$+$$ $$q-2q^{3}-2q^{5}+q^{7}+q^{9}-q^{11}+4q^{13}+\cdots$$
1232.2.a.b $$1$$ $$9.838$$ $$\Q$$ None None $$0$$ $$-2$$ $$2$$ $$-1$$ $$-$$ $$q-2q^{3}+2q^{5}-q^{7}+q^{9}+q^{11}-4q^{15}+\cdots$$
1232.2.a.c $$1$$ $$9.838$$ $$\Q$$ None None $$0$$ $$-2$$ $$2$$ $$1$$ $$+$$ $$q-2q^{3}+2q^{5}+q^{7}+q^{9}-q^{11}-4q^{13}+\cdots$$
1232.2.a.d $$1$$ $$9.838$$ $$\Q$$ None None $$0$$ $$-1$$ $$3$$ $$-1$$ $$+$$ $$q-q^{3}+3q^{5}-q^{7}-2q^{9}+q^{11}-4q^{13}+\cdots$$
1232.2.a.e $$1$$ $$9.838$$ $$\Q$$ None None $$0$$ $$0$$ $$-4$$ $$1$$ $$-$$ $$q-4q^{5}+q^{7}-3q^{9}+q^{11}+2q^{13}+\cdots$$
1232.2.a.f $$1$$ $$9.838$$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$-1$$ $$-$$ $$q-2q^{5}-q^{7}-3q^{9}+q^{11}+2q^{13}+\cdots$$
1232.2.a.g $$1$$ $$9.838$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$1$$ $$+$$ $$q+q^{7}-3q^{9}+q^{11}-6q^{13}+2q^{19}+\cdots$$
1232.2.a.h $$1$$ $$9.838$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$1$$ $$-$$ $$q+2q^{5}+q^{7}-3q^{9}+q^{11}+2q^{13}+\cdots$$
1232.2.a.i $$1$$ $$9.838$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$-1$$ $$+$$ $$q+q^{3}-q^{5}-q^{7}-2q^{9}-q^{11}-q^{15}+\cdots$$
1232.2.a.j $$1$$ $$9.838$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$1$$ $$+$$ $$q+q^{3}-q^{5}+q^{7}-2q^{9}-q^{11}-4q^{13}+\cdots$$
1232.2.a.k $$1$$ $$9.838$$ $$\Q$$ None None $$0$$ $$2$$ $$2$$ $$-1$$ $$-$$ $$q+2q^{3}+2q^{5}-q^{7}+q^{9}+q^{11}+4q^{13}+\cdots$$
1232.2.a.l $$1$$ $$9.838$$ $$\Q$$ None None $$0$$ $$3$$ $$-1$$ $$1$$ $$-$$ $$q+3q^{3}-q^{5}+q^{7}+6q^{9}+q^{11}-4q^{13}+\cdots$$
1232.2.a.m $$2$$ $$9.838$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$-2$$ $$-4$$ $$-2$$ $$+$$ $$q+(-1-\beta )q^{3}-2q^{5}-q^{7}+(3+2\beta )q^{9}+\cdots$$
1232.2.a.n $$2$$ $$9.838$$ $$\Q(\sqrt{6})$$ None None $$0$$ $$0$$ $$4$$ $$2$$ $$-$$ $$q+\beta q^{3}+2q^{5}+q^{7}+3q^{9}+q^{11}+\cdots$$
1232.2.a.o $$2$$ $$9.838$$ $$\Q(\sqrt{17})$$ None None $$0$$ $$1$$ $$-3$$ $$2$$ $$-$$ $$q+\beta q^{3}+(-2+\beta )q^{5}+q^{7}+(1+\beta )q^{9}+\cdots$$
1232.2.a.p $$2$$ $$9.838$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$2$$ $$2$$ $$-2$$ $$-$$ $$q+(1+\beta )q^{3}+(1+\beta )q^{5}-q^{7}+(3+2\beta )q^{9}+\cdots$$
1232.2.a.q $$3$$ $$9.838$$ 3.3.229.1 None None $$0$$ $$-1$$ $$1$$ $$-3$$ $$+$$ $$q+\beta _{2}q^{3}-\beta _{2}q^{5}-q^{7}+(1-\beta _{1})q^{9}+\cdots$$
1232.2.a.r $$3$$ $$9.838$$ 3.3.1016.1 None None $$0$$ $$1$$ $$-1$$ $$-3$$ $$-$$ $$q+\beta _{1}q^{3}+(-\beta _{1}-\beta _{2})q^{5}-q^{7}+(1+\cdots)q^{9}+\cdots$$
1232.2.a.s $$4$$ $$9.838$$ 4.4.11348.1 None None $$0$$ $$-1$$ $$5$$ $$4$$ $$-$$ $$q-\beta _{2}q^{3}+(1-\beta _{1})q^{5}+q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots$$
1232.2.e.a $$2$$ $$9.838$$ $$\Q(\sqrt{-7})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{7}+3q^{9}+(-2-\beta )q^{11}+8q^{23}+\cdots$$
1232.2.e.b $$4$$ $$9.838$$ $$\Q(\sqrt{2}, \sqrt{-5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{3}-\beta _{3}q^{5}+(\beta _{1}-\beta _{2})q^{7}-2q^{9}+\cdots$$
1232.2.e.c $$4$$ $$9.838$$ $$\Q(\sqrt{-2}, \sqrt{-5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{3}+\beta _{3}q^{5}+(\beta _{1}-2\beta _{2})q^{7}-2q^{9}+\cdots$$
1232.2.e.d $$4$$ $$9.838$$ $$\Q(\sqrt{-2}, \sqrt{-7})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{3}-2\beta _{2}q^{5}-\beta _{3}q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots$$
1232.2.e.e $$8$$ $$9.838$$ 8.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{3}+\beta _{6}q^{5}+(\beta _{1}-\beta _{3}-\beta _{7})q^{7}+\cdots$$
1232.2.e.f $$24$$ $$9.838$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1232.2.f.a $$6$$ $$9.838$$ 6.0.10323968.1 None None $$0$$ $$0$$ $$-2$$ $$-6$$ $$q+\beta _{1}q^{3}+\beta _{3}q^{5}-q^{7}+(1+\beta _{2})q^{9}+\cdots$$
1232.2.f.b $$6$$ $$9.838$$ 6.0.10323968.1 None None $$0$$ $$0$$ $$-2$$ $$6$$ $$q+\beta _{1}q^{3}+\beta _{3}q^{5}+q^{7}+(1+\beta _{2})q^{9}+\cdots$$
1232.2.f.c $$12$$ $$9.838$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$2$$ $$-12$$ $$q+\beta _{4}q^{3}+\beta _{5}q^{5}-q^{7}+(-1+\beta _{1}+\cdots)q^{9}+\cdots$$
1232.2.f.d $$12$$ $$9.838$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$2$$ $$12$$ $$q+\beta _{4}q^{3}+\beta _{5}q^{5}+q^{7}+(-1+\beta _{1}+\cdots)q^{9}+\cdots$$
1232.2.j.a $$16$$ $$9.838$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{15}q^{3}-\beta _{12}q^{5}-\beta _{13}q^{7}+(1+\beta _{6}+\cdots)q^{9}+\cdots$$
1232.2.j.b $$24$$ $$9.838$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1232.2.q.a $$2$$ $$9.838$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-3$$ $$4$$ $$5$$ $$q+(-3+3\zeta_{6})q^{3}+4\zeta_{6}q^{5}+(2+\zeta_{6})q^{7}+\cdots$$
1232.2.q.b $$2$$ $$9.838$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$-2$$ $$-5$$ $$q+(-1+\zeta_{6})q^{3}-2\zeta_{6}q^{5}+(-2-\zeta_{6})q^{7}+\cdots$$
1232.2.q.c $$2$$ $$9.838$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$0$$ $$-5$$ $$q+(1-\zeta_{6})q^{3}+(-2-\zeta_{6})q^{7}+2\zeta_{6}q^{9}+\cdots$$
1232.2.q.d $$2$$ $$9.838$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$0$$ $$1$$ $$q+(1-\zeta_{6})q^{3}+(2-3\zeta_{6})q^{7}+2\zeta_{6}q^{9}+\cdots$$
1232.2.q.e $$2$$ $$9.838$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$3$$ $$-2$$ $$5$$ $$q+(3-3\zeta_{6})q^{3}-2\zeta_{6}q^{5}+(2+\zeta_{6})q^{7}+\cdots$$
1232.2.q.f $$4$$ $$9.838$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$0$$ $$-2$$ $$4$$ $$2$$ $$q+(-1+\beta _{1}-\beta _{2})q^{3}+(-\beta _{1}-2\beta _{2}+\cdots)q^{5}+\cdots$$
1232.2.q.g $$4$$ $$9.838$$ $$\Q(\sqrt{-3}, \sqrt{7})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+\beta _{1}q^{3}+(-\beta _{1}+\beta _{2}-\beta _{3})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots$$
1232.2.q.h $$4$$ $$9.838$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$0$$ $$2$$ $$0$$ $$-2$$ $$q+(1+\beta _{1}+\beta _{2})q^{3}+(-\beta _{1}-\beta _{3})q^{5}+\cdots$$
1232.2.q.i $$6$$ $$9.838$$ 6.0.64827.1 None None $$0$$ $$-5$$ $$2$$ $$0$$ $$q+(\beta _{1}-\beta _{2}+\beta _{3}+\beta _{4}-\beta _{5})q^{3}+(1+\cdots)q^{5}+\cdots$$
1232.2.q.j $$6$$ $$9.838$$ 6.0.1783323.2 None None $$0$$ $$-3$$ $$2$$ $$-2$$ $$q+(-1+\beta _{4}-\beta _{5})q^{3}+(\beta _{1}+\beta _{2}+\beta _{4}+\cdots)q^{5}+\cdots$$