## Results (1-50 of 128 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
891.1.c.a $$1$$ $$0.445$$ $$\Q$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$-1$$ $$0$$ $$q+q^{4}-q^{5}+q^{11}+q^{16}-q^{20}+2q^{23}+\cdots$$
891.1.c.b $$1$$ $$0.445$$ $$\Q$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$1$$ $$0$$ $$q+q^{4}+q^{5}-q^{11}+q^{16}+q^{20}-2q^{23}+\cdots$$
891.1.q.a $$6$$ $$0.445$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$3$$ $$0$$ $$q-\zeta_{18}^{5}q^{4}+(\zeta_{18}^{3}-\zeta_{18}^{4})q^{5}+\zeta_{18}q^{11}+\cdots$$
891.1.w.a $$18$$ $$0.445$$ $$\Q(\zeta_{54})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{54}^{13}q^{3}+\zeta_{54}^{10}q^{4}+(\zeta_{54}^{6}+\zeta_{54}^{8}+\cdots)q^{5}+\cdots$$
891.2.a.a $$1$$ $$7.115$$ $$\Q$$ None None $$-2$$ $$0$$ $$-2$$ $$4$$ $$-$$ $$q-2q^{2}+2q^{4}-2q^{5}+4q^{7}+4q^{10}+\cdots$$
891.2.a.b $$1$$ $$7.115$$ $$\Q$$ None None $$-1$$ $$0$$ $$-1$$ $$-2$$ $$+$$ $$q-q^{2}-q^{4}-q^{5}-2q^{7}+3q^{8}+q^{10}+\cdots$$
891.2.a.c $$1$$ $$7.115$$ $$\Q$$ None None $$-1$$ $$0$$ $$-1$$ $$4$$ $$-$$ $$q-q^{2}-q^{4}-q^{5}+4q^{7}+3q^{8}+q^{10}+\cdots$$
891.2.a.d $$1$$ $$7.115$$ $$\Q$$ None None $$0$$ $$0$$ $$-3$$ $$-4$$ $$-$$ $$q-2q^{4}-3q^{5}-4q^{7}+q^{11}+2q^{13}+\cdots$$
891.2.a.e $$1$$ $$7.115$$ $$\Q$$ None None $$0$$ $$0$$ $$3$$ $$-4$$ $$-$$ $$q-2q^{4}+3q^{5}-4q^{7}-q^{11}+2q^{13}+\cdots$$
891.2.a.f $$1$$ $$7.115$$ $$\Q$$ None None $$1$$ $$0$$ $$1$$ $$-2$$ $$-$$ $$q+q^{2}-q^{4}+q^{5}-2q^{7}-3q^{8}+q^{10}+\cdots$$
891.2.a.g $$1$$ $$7.115$$ $$\Q$$ None None $$1$$ $$0$$ $$1$$ $$4$$ $$-$$ $$q+q^{2}-q^{4}+q^{5}+4q^{7}-3q^{8}+q^{10}+\cdots$$
891.2.a.h $$1$$ $$7.115$$ $$\Q$$ None None $$2$$ $$0$$ $$2$$ $$4$$ $$-$$ $$q+2q^{2}+2q^{4}+2q^{5}+4q^{7}+4q^{10}+\cdots$$
891.2.a.i $$2$$ $$7.115$$ $$\Q(\sqrt{13})$$ None None $$-1$$ $$0$$ $$-1$$ $$0$$ $$+$$ $$q-\beta q^{2}+(1+\beta )q^{4}-\beta q^{5}+(-1+2\beta )q^{7}+\cdots$$
891.2.a.j $$2$$ $$7.115$$ $$\Q(\sqrt{13})$$ None None $$1$$ $$0$$ $$1$$ $$0$$ $$-$$ $$q+\beta q^{2}+(1+\beta )q^{4}+\beta q^{5}+(-1+2\beta )q^{7}+\cdots$$
891.2.a.k $$3$$ $$7.115$$ $$\Q(\zeta_{18})^+$$ None None $$0$$ $$0$$ $$-3$$ $$-3$$ $$+$$ $$q+\beta _{1}q^{2}+\beta _{2}q^{4}+(-1-\beta _{1})q^{5}+(-1+\cdots)q^{7}+\cdots$$
891.2.a.l $$3$$ $$7.115$$ $$\Q(\zeta_{18})^+$$ None None $$0$$ $$0$$ $$3$$ $$-3$$ $$+$$ $$q-\beta _{1}q^{2}+\beta _{2}q^{4}+(1+\beta _{1})q^{5}+(-1+\cdots)q^{7}+\cdots$$
891.2.a.m $$3$$ $$7.115$$ 3.3.837.1 None None $$0$$ $$0$$ $$-6$$ $$0$$ $$+$$ $$q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-2+\beta _{1})q^{5}+\cdots$$
891.2.a.n $$3$$ $$7.115$$ 3.3.837.1 None None $$0$$ $$0$$ $$6$$ $$0$$ $$-$$ $$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(2-\beta _{1})q^{5}+\cdots$$
891.2.a.o $$4$$ $$7.115$$ 4.4.4752.1 None None $$-2$$ $$0$$ $$-8$$ $$-2$$ $$+$$ $$q-\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}+(-2-\beta _{1}+\cdots)q^{5}+\cdots$$
891.2.a.p $$4$$ $$7.115$$ 4.4.22545.1 None None $$-1$$ $$0$$ $$-4$$ $$1$$ $$-$$ $$q-\beta _{2}q^{2}+(3+\beta _{3})q^{4}+(-1+\beta _{1}+\beta _{3})q^{5}+\cdots$$
891.2.a.q $$4$$ $$7.115$$ 4.4.22545.1 None None $$1$$ $$0$$ $$4$$ $$1$$ $$-$$ $$q+\beta _{2}q^{2}+(3+\beta _{3})q^{4}+(1-\beta _{1}-\beta _{3})q^{5}+\cdots$$
891.2.a.r $$4$$ $$7.115$$ 4.4.4752.1 None None $$2$$ $$0$$ $$8$$ $$-2$$ $$-$$ $$q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}+(2+\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots$$
891.2.d.a $$4$$ $$7.115$$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-2q^{4}+\beta _{2}q^{5}+(\beta _{2}+\beta _{3})q^{11}+4q^{16}+\cdots$$
891.2.d.b $$16$$ $$7.115$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+(2-\beta _{3})q^{4}-\beta _{7}q^{5}+\beta _{6}q^{7}+\cdots$$
891.2.d.c $$24$$ $$7.115$$ None None $$0$$ $$0$$ $$0$$ $$0$$
891.2.e.a $$2$$ $$7.115$$ $$\Q(\sqrt{-3})$$ None None $$-2$$ $$0$$ $$-2$$ $$-1$$ $$q+(-2+2\zeta_{6})q^{2}-2\zeta_{6}q^{4}-2\zeta_{6}q^{5}+\cdots$$
891.2.e.b $$2$$ $$7.115$$ $$\Q(\sqrt{-3})$$ None None $$-2$$ $$0$$ $$1$$ $$2$$ $$q+(-2+2\zeta_{6})q^{2}-2\zeta_{6}q^{4}+\zeta_{6}q^{5}+\cdots$$
891.2.e.c $$2$$ $$7.115$$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$0$$ $$-4$$ $$2$$ $$q+(-1+\zeta_{6})q^{2}+\zeta_{6}q^{4}-4\zeta_{6}q^{5}+\cdots$$
891.2.e.d $$2$$ $$7.115$$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$0$$ $$-1$$ $$2$$ $$q+(-1+\zeta_{6})q^{2}+\zeta_{6}q^{4}-\zeta_{6}q^{5}+(2+\cdots)q^{7}+\cdots$$
891.2.e.e $$2$$ $$7.115$$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$0$$ $$2$$ $$-4$$ $$q+(-1+\zeta_{6})q^{2}+\zeta_{6}q^{4}+2\zeta_{6}q^{5}+\cdots$$
891.2.e.f $$2$$ $$7.115$$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$0$$ $$2$$ $$5$$ $$q+(-1+\zeta_{6})q^{2}+\zeta_{6}q^{4}+2\zeta_{6}q^{5}+\cdots$$
891.2.e.g $$2$$ $$7.115$$ $$\Q(\sqrt{-3})$$ None None $$1$$ $$0$$ $$-2$$ $$-4$$ $$q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{4}-2\zeta_{6}q^{5}+(-4+\cdots)q^{7}+\cdots$$
891.2.e.h $$2$$ $$7.115$$ $$\Q(\sqrt{-3})$$ None None $$1$$ $$0$$ $$-2$$ $$5$$ $$q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{4}-2\zeta_{6}q^{5}+(5+\cdots)q^{7}+\cdots$$
891.2.e.i $$2$$ $$7.115$$ $$\Q(\sqrt{-3})$$ None None $$1$$ $$0$$ $$1$$ $$2$$ $$q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{4}+\zeta_{6}q^{5}+(2-2\zeta_{6})q^{7}+\cdots$$
891.2.e.j $$2$$ $$7.115$$ $$\Q(\sqrt{-3})$$ None None $$1$$ $$0$$ $$4$$ $$2$$ $$q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{4}+4\zeta_{6}q^{5}+(2+\cdots)q^{7}+\cdots$$
891.2.e.k $$2$$ $$7.115$$ $$\Q(\sqrt{-3})$$ None None $$2$$ $$0$$ $$-1$$ $$2$$ $$q+(2-2\zeta_{6})q^{2}-2\zeta_{6}q^{4}-\zeta_{6}q^{5}+(2+\cdots)q^{7}+\cdots$$
891.2.e.l $$2$$ $$7.115$$ $$\Q(\sqrt{-3})$$ None None $$2$$ $$0$$ $$2$$ $$-1$$ $$q+(2-2\zeta_{6})q^{2}-2\zeta_{6}q^{4}+2\zeta_{6}q^{5}+\cdots$$
891.2.e.m $$4$$ $$7.115$$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$0$$ $$-2$$ $$4$$ $$q+(-\zeta_{12}+\zeta_{12}^{2})q^{2}+(-2+2\zeta_{12}+\cdots)q^{4}+\cdots$$
891.2.e.n $$4$$ $$7.115$$ $$\Q(\sqrt{-3}, \sqrt{13})$$ None None $$-1$$ $$0$$ $$-1$$ $$0$$ $$q-\beta _{1}q^{2}+(-1+\beta _{1}+\beta _{2}+\beta _{3})q^{4}+\cdots$$
891.2.e.o $$4$$ $$7.115$$ $$\Q(\sqrt{-3}, \sqrt{13})$$ None None $$1$$ $$0$$ $$1$$ $$0$$ $$q+\beta _{1}q^{2}+(-1+\beta _{1}+\beta _{2}+\beta _{3})q^{4}+\cdots$$
891.2.e.p $$4$$ $$7.115$$ $$\Q(\zeta_{12})$$ None None $$2$$ $$0$$ $$2$$ $$4$$ $$q+(\zeta_{12}-\zeta_{12}^{2})q^{2}+(-2+2\zeta_{12}-2\zeta_{12}^{2}+\cdots)q^{4}+\cdots$$
891.2.e.q $$6$$ $$7.115$$ 6.0.954288.1 None None $$-1$$ $$0$$ $$2$$ $$-7$$ $$q+(\beta _{4}-\beta _{5})q^{2}+(-2-\beta _{1}-\beta _{2}+2\beta _{3}+\cdots)q^{4}+\cdots$$
891.2.e.r $$6$$ $$7.115$$ 6.0.2101707.2 None None $$0$$ $$0$$ $$-6$$ $$0$$ $$q+(-\beta _{2}+\beta _{4})q^{2}+(-\beta _{1}-2\beta _{3}-\beta _{5})q^{4}+\cdots$$
891.2.e.s $$6$$ $$7.115$$ 6.0.2101707.2 None None $$0$$ $$0$$ $$6$$ $$0$$ $$q+(\beta _{2}-\beta _{4})q^{2}+(-\beta _{1}-2\beta _{3}-\beta _{5})q^{4}+\cdots$$
891.2.e.t $$6$$ $$7.115$$ 6.0.954288.1 None None $$1$$ $$0$$ $$-2$$ $$-7$$ $$q+(-\beta _{4}+\beta _{5})q^{2}+(-2-\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots$$
891.2.e.u $$8$$ $$7.115$$ 8.0.22581504.2 None None $$-2$$ $$0$$ $$-8$$ $$2$$ $$q+(-1+\beta _{1}+\beta _{5})q^{2}+(1-\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots$$
891.2.e.v $$8$$ $$7.115$$ 8.0.22581504.2 None None $$2$$ $$0$$ $$8$$ $$2$$ $$q+(1-\beta _{1}-\beta _{5})q^{2}+(1-\beta _{1}-\beta _{2}-\beta _{5}+\cdots)q^{4}+\cdots$$
891.2.f.a $$4$$ $$7.115$$ $$\Q(\zeta_{10})$$ None None $$-4$$ $$0$$ $$6$$ $$1$$ $$q+(-2+\zeta_{10}-\zeta_{10}^{2}+2\zeta_{10}^{3})q^{2}+\cdots$$
891.2.f.b $$4$$ $$7.115$$ $$\Q(\zeta_{10})$$ None None $$4$$ $$0$$ $$-6$$ $$1$$ $$q+(2-\zeta_{10}+\zeta_{10}^{2}-2\zeta_{10}^{3})q^{2}+(3+\cdots)q^{4}+\cdots$$
891.2.f.c $$24$$ $$7.115$$ None None $$-2$$ $$0$$ $$4$$ $$7$$