## Results (1-50 of 157 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1089.1.c.a $$2$$ $$0.543$$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+q^{4}-\beta q^{7}+\beta q^{13}+q^{16}-\beta q^{19}+\cdots$$
1089.1.h.a $$4$$ $$0.543$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$2$$ $$2$$ $$0$$ $$q+(\beta _{1}-\beta _{3})q^{2}+(1-\beta _{2})q^{3}+(1-\beta _{2}+\cdots)q^{4}+\cdots$$
1089.1.i.a $$2$$ $$0.543$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$1$$ $$3$$ $$0$$ $$q-\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+(1+\zeta_{6})q^{5}-\zeta_{6}q^{9}+\cdots$$
1089.1.k.a $$8$$ $$0.543$$ 8.0.64000000.1 $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{4}-\beta _{7}q^{7}-\beta _{1}q^{13}+\beta _{4}q^{16}+\cdots$$
1089.1.r.a $$8$$ $$0.543$$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-1$$ $$-3$$ $$0$$ $$q+\zeta_{30}^{7}q^{3}-\zeta_{30}^{13}q^{4}+(\zeta_{30}^{6}+\zeta_{30}^{11}+\cdots)q^{5}+\cdots$$
1089.1.s.a $$8$$ $$0.543$$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$1$$ $$-1$$ $$0$$ $$q-\zeta_{30}^{7}q^{3}-\zeta_{30}^{13}q^{4}+\zeta_{30}q^{5}+\cdots$$
1089.1.s.b $$16$$ $$0.543$$ 16.0.$$\cdots$$.1 None None $$0$$ $$-2$$ $$-2$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{7}q^{3}+\beta _{2}q^{4}+(\beta _{3}+\beta _{15})q^{5}+\cdots$$
1089.2.a.a $$1$$ $$8.696$$ $$\Q$$ None None $$-2$$ $$0$$ $$-4$$ $$-1$$ $$+$$ $$q-2q^{2}+2q^{4}-4q^{5}-q^{7}+8q^{10}+\cdots$$
1089.2.a.b $$1$$ $$8.696$$ $$\Q$$ None None $$-2$$ $$0$$ $$-1$$ $$2$$ $$+$$ $$q-2q^{2}+2q^{4}-q^{5}+2q^{7}+2q^{10}+\cdots$$
1089.2.a.c $$1$$ $$8.696$$ $$\Q$$ None None $$-1$$ $$0$$ $$-1$$ $$-2$$ $$+$$ $$q-q^{2}-q^{4}-q^{5}-2q^{7}+3q^{8}+q^{10}+\cdots$$
1089.2.a.d $$1$$ $$8.696$$ $$\Q$$ None None $$-1$$ $$0$$ $$4$$ $$2$$ $$-$$ $$q-q^{2}-q^{4}+4q^{5}+2q^{7}+3q^{8}-4q^{10}+\cdots$$
1089.2.a.e $$1$$ $$8.696$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-5$$ $$-$$ $$q-2q^{4}-5q^{7}-2q^{13}+4q^{16}+7q^{19}+\cdots$$
1089.2.a.f $$1$$ $$8.696$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$5$$ $$-$$ $$q-2q^{4}+5q^{7}+2q^{13}+4q^{16}-7q^{19}+\cdots$$
1089.2.a.g $$1$$ $$8.696$$ $$\Q$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$3$$ $$0$$ $$-$$ $$q-2q^{4}+3q^{5}+4q^{16}-6q^{20}+9q^{23}+\cdots$$
1089.2.a.h $$1$$ $$8.696$$ $$\Q$$ None None $$1$$ $$0$$ $$-4$$ $$2$$ $$-$$ $$q+q^{2}-q^{4}-4q^{5}+2q^{7}-3q^{8}-4q^{10}+\cdots$$
1089.2.a.i $$1$$ $$8.696$$ $$\Q$$ None None $$1$$ $$0$$ $$-1$$ $$2$$ $$+$$ $$q+q^{2}-q^{4}-q^{5}+2q^{7}-3q^{8}-q^{10}+\cdots$$
1089.2.a.j $$1$$ $$8.696$$ $$\Q$$ None None $$1$$ $$0$$ $$2$$ $$-4$$ $$+$$ $$q+q^{2}-q^{4}+2q^{5}-4q^{7}-3q^{8}+2q^{10}+\cdots$$
1089.2.a.k $$1$$ $$8.696$$ $$\Q$$ None None $$2$$ $$0$$ $$-4$$ $$1$$ $$+$$ $$q+2q^{2}+2q^{4}-4q^{5}+q^{7}-8q^{10}+\cdots$$
1089.2.a.l $$2$$ $$8.696$$ $$\Q(\sqrt{5})$$ None None $$-3$$ $$0$$ $$-1$$ $$2$$ $$+$$ $$q+(-1-\beta )q^{2}+3\beta q^{4}+(-1+\beta )q^{5}+\cdots$$
1089.2.a.m $$2$$ $$8.696$$ $$\Q(\sqrt{5})$$ None None $$-1$$ $$0$$ $$3$$ $$6$$ $$-$$ $$q-\beta q^{2}+(-1+\beta )q^{4}+(2-\beta )q^{5}+3q^{7}+\cdots$$
1089.2.a.n $$2$$ $$8.696$$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$q-2q^{4}-\beta q^{7}+4\beta q^{13}+4q^{16}-3\beta q^{19}+\cdots$$
1089.2.a.o $$2$$ $$8.696$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$6$$ $$0$$ $$-$$ $$q+\beta q^{2}+q^{4}+3q^{5}+2\beta q^{7}-\beta q^{8}+\cdots$$
1089.2.a.p $$2$$ $$8.696$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$-$$ $$q-\beta q^{2}+3q^{4}-2q^{5}-2\beta q^{7}-\beta q^{8}+\cdots$$
1089.2.a.q $$2$$ $$8.696$$ $$\Q(\sqrt{7})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$-$$ $$q+\beta q^{2}+5q^{4}+\beta q^{5}-2q^{7}+3\beta q^{8}+\cdots$$
1089.2.a.r $$2$$ $$8.696$$ $$\Q(\sqrt{7})$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$-$$ $$q+\beta q^{2}+5q^{4}-\beta q^{5}+2q^{7}+3\beta q^{8}+\cdots$$
1089.2.a.s $$2$$ $$8.696$$ $$\Q(\sqrt{5})$$ None None $$1$$ $$0$$ $$3$$ $$-6$$ $$+$$ $$q+\beta q^{2}+(-1+\beta )q^{4}+(2-\beta )q^{5}-3q^{7}+\cdots$$
1089.2.a.t $$2$$ $$8.696$$ $$\Q(\sqrt{5})$$ None None $$3$$ $$0$$ $$-1$$ $$-2$$ $$-$$ $$q+(1+\beta )q^{2}+3\beta q^{4}+(-1+\beta )q^{5}+\cdots$$
1089.2.a.u $$4$$ $$8.696$$ $$\Q(\sqrt{3}, \sqrt{11})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$-$$ $$q+\beta _{1}q^{2}+(2+\beta _{3})q^{4}+\beta _{3}q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots$$
1089.2.a.v $$4$$ $$8.696$$ 4.4.4400.1 None None $$0$$ $$0$$ $$0$$ $$-8$$ $$+$$ $$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}-\beta _{1}q^{5}+(-3+\cdots)q^{7}+\cdots$$
1089.2.a.w $$4$$ $$8.696$$ 4.4.4400.1 None None $$0$$ $$0$$ $$0$$ $$8$$ $$-$$ $$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+\beta _{1}q^{5}+(3+2\beta _{2}+\cdots)q^{7}+\cdots$$
1089.2.d.a $$2$$ $$8.696$$ $$\Q(\sqrt{-2})$$ None None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}-q^{4}-\beta q^{5}-2\beta q^{7}+3q^{8}+\cdots$$
1089.2.d.b $$2$$ $$8.696$$ $$\Q(\sqrt{-2})$$ None None $$2$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}-q^{4}+\beta q^{5}-2\beta q^{7}-3q^{8}+\cdots$$
1089.2.d.c $$4$$ $$8.696$$ $$\Q(\sqrt{-2}, \sqrt{3})$$ None None $$-4$$ $$0$$ $$0$$ $$0$$ $$q+(-1-\beta _{2})q^{2}+(2+2\beta _{2})q^{4}-2\beta _{1}q^{5}+\cdots$$
1089.2.d.d $$4$$ $$8.696$$ $$\Q(\sqrt{-2}, \sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}+q^{4}+(-2\beta _{1}+\beta _{3})q^{5}+2\beta _{3}q^{7}+\cdots$$
1089.2.d.e $$4$$ $$8.696$$ $$\Q(\sqrt{-2}, \sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}+q^{4}+(2\beta _{1}-\beta _{3})q^{5}+2\beta _{3}q^{7}+\cdots$$
1089.2.d.f $$4$$ $$8.696$$ $$\Q(\sqrt{-2}, \sqrt{3})$$ None None $$4$$ $$0$$ $$0$$ $$0$$ $$q+(1+\beta _{2})q^{2}+(2+2\beta _{2})q^{4}-2\beta _{1}q^{5}+\cdots$$
1089.2.d.g $$16$$ $$8.696$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{15}q^{2}+(1+\beta _{4})q^{4}+(-\beta _{2}+\beta _{5}+\cdots)q^{5}+\cdots$$
1089.2.e.a $$2$$ $$8.696$$ $$\Q(\sqrt{-3})$$ None None $$-2$$ $$0$$ $$2$$ $$4$$ $$q+(-2+2\zeta_{6})q^{2}+(1-2\zeta_{6})q^{3}-2\zeta_{6}q^{4}+\cdots$$
1089.2.e.b $$2$$ $$8.696$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-3$$ $$3$$ $$-4$$ $$q+(-1-\zeta_{6})q^{3}+2\zeta_{6}q^{4}+3\zeta_{6}q^{5}+\cdots$$
1089.2.e.c $$2$$ $$8.696$$ $$\Q(\sqrt{-3})$$ None None $$1$$ $$-3$$ $$-1$$ $$4$$ $$q+(1-\zeta_{6})q^{2}+(-2+\zeta_{6})q^{3}+\zeta_{6}q^{4}+\cdots$$
1089.2.e.d $$4$$ $$8.696$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None None $$-3$$ $$-6$$ $$-2$$ $$-2$$ $$q+(-1-\beta _{1}-\beta _{3})q^{2}+(-2-\beta _{3})q^{3}+\cdots$$
1089.2.e.e $$4$$ $$8.696$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$-6$$ $$6$$ $$0$$ $$q-\zeta_{12}^{2}q^{2}+(-1-\zeta_{12})q^{3}+(-1+\cdots)q^{4}+\cdots$$
1089.2.e.f $$4$$ $$8.696$$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$1$$ $$-3$$ $$0$$ $$q-\beta _{3}q^{3}+2\beta _{2}q^{4}+(1-2\beta _{1}-2\beta _{2}+\cdots)q^{5}+\cdots$$
1089.2.e.g $$4$$ $$8.696$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None None $$3$$ $$-6$$ $$-2$$ $$2$$ $$q+(1+\beta _{1}+\beta _{3})q^{2}+(-2-\beta _{3})q^{3}+\cdots$$
1089.2.e.h $$6$$ $$8.696$$ $$\Q(\zeta_{18})$$ None None $$0$$ $$0$$ $$-3$$ $$-3$$ $$q+(-\zeta_{18}^{2}+\zeta_{18}^{3}+\zeta_{18}^{4}-\zeta_{18}^{5})q^{2}+\cdots$$
1089.2.e.i $$8$$ $$8.696$$ 8.0.508277025.1 None None $$1$$ $$5$$ $$-4$$ $$1$$ $$q+(\beta _{2}+\beta _{7})q^{2}+(1+\beta _{7})q^{3}+(-2+\beta _{1}+\cdots)q^{4}+\cdots$$
1089.2.e.j $$12$$ $$8.696$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$4$$ $$2$$ $$0$$ $$q+\beta _{7}q^{2}+(1+\beta _{2}-\beta _{6})q^{3}+(-1-2\beta _{4}+\cdots)q^{4}+\cdots$$
1089.2.e.k $$16$$ $$8.696$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$-2$$ $$4$$ $$0$$ $$q+(-\beta _{1}-\beta _{2}-\beta _{6})q^{2}-\beta _{13}q^{3}+(2\beta _{5}+\cdots)q^{4}+\cdots$$
1089.2.e.l $$20$$ $$8.696$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None None $$0$$ $$-1$$ $$-3$$ $$1$$ $$q-\beta _{3}q^{2}-\beta _{16}q^{3}+(-\beta _{12}+\beta _{17}+\cdots)q^{4}+\cdots$$
1089.2.e.m $$20$$ $$8.696$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None None $$0$$ $$-1$$ $$-3$$ $$-1$$ $$q+\beta _{3}q^{2}-\beta _{16}q^{3}+(-\beta _{12}+\beta _{17}+\cdots)q^{4}+\cdots$$