Results (1-50 of 234 matches)

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
91.2.a.a $$1$$ $$0.727$$ $$\Q$$ None $$-2$$ $$0$$ $$-3$$ $$-1$$ $$+$$ $$q-2q^{2}+2q^{4}-3q^{5}-q^{7}-3q^{9}+\cdots$$
91.2.a.b $$1$$ $$0.727$$ $$\Q$$ None $$0$$ $$-2$$ $$-3$$ $$1$$ $$+$$ $$q-2q^{3}-2q^{4}-3q^{5}+q^{7}+q^{9}+4q^{12}+\cdots$$
91.2.a.c $$2$$ $$0.727$$ $$\Q(\sqrt{2})$$ None $$0$$ $$0$$ $$6$$ $$2$$ $$-$$ $$q+\beta q^{2}-\beta q^{3}+(3+\beta )q^{5}-2q^{6}+q^{7}+\cdots$$
91.2.a.d $$3$$ $$0.727$$ 3.3.316.1 None $$1$$ $$-2$$ $$2$$ $$-3$$ $$-$$ $$q+\beta _{1}q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+(1+\beta _{2})q^{4}+\cdots$$
91.2.c.a $$6$$ $$0.727$$ 6.0.350464.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{3}+\beta _{4})q^{2}+\beta _{1}q^{3}+(-1-\beta _{1}+\cdots)q^{4}+\cdots$$
91.2.e.a $$2$$ $$0.727$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$0$$ $$1$$ $$q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{4}+(2-3\zeta_{6})q^{7}+\cdots$$
91.2.e.b $$4$$ $$0.727$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None $$3$$ $$0$$ $$0$$ $$-8$$ $$q+(1+\beta _{1}+\beta _{3})q^{2}+(-2\beta _{1}-2\beta _{2}+\cdots)q^{3}+\cdots$$
91.2.e.c $$10$$ $$0.727$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None $$-4$$ $$0$$ $$-2$$ $$1$$ $$q+(\beta _{1}-\beta _{7})q^{2}+(-\beta _{4}+\beta _{9})q^{3}+(-2+\cdots)q^{4}+\cdots$$
91.2.f.a $$4$$ $$0.727$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None $$-3$$ $$3$$ $$6$$ $$-2$$ $$q+(-1-\beta _{1}-\beta _{3})q^{2}+(1+\beta _{1}+\beta _{3})q^{3}+\cdots$$
91.2.f.b $$4$$ $$0.727$$ $$\Q(\zeta_{12})$$ None $$0$$ $$-2$$ $$0$$ $$-2$$ $$q-\zeta_{12}^{2}q^{2}+(-\zeta_{12}-\zeta_{12}^{2})q^{3}+(-1+\cdots)q^{4}+\cdots$$
91.2.f.c $$8$$ $$0.727$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$1$$ $$-1$$ $$-14$$ $$4$$ $$q+\beta _{1}q^{2}-\beta _{5}q^{3}+(-1+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
91.2.g.a $$2$$ $$0.727$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-6$$ $$-3$$ $$-5$$ $$q-\zeta_{6}q^{2}-3q^{3}+(1-\zeta_{6})q^{4}+(-3+\cdots)q^{5}+\cdots$$
91.2.g.b $$12$$ $$0.727$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$2$$ $$-2$$ $$1$$ $$9$$ $$q+(-\beta _{1}-\beta _{5}+\beta _{11})q^{2}+(\beta _{3}-\beta _{11})q^{3}+\cdots$$
91.2.h.a $$2$$ $$0.727$$ $$\Q(\sqrt{-3})$$ None $$2$$ $$3$$ $$-3$$ $$4$$ $$q+q^{2}+3\zeta_{6}q^{3}-q^{4}-3\zeta_{6}q^{5}+3\zeta_{6}q^{6}+\cdots$$
91.2.h.b $$12$$ $$0.727$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$-4$$ $$1$$ $$1$$ $$-3$$ $$q+(\beta _{3}+\beta _{5}-\beta _{11})q^{2}+\beta _{11}q^{3}+(1+\cdots)q^{4}+\cdots$$
91.2.i.a $$12$$ $$0.727$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$-4$$ $$0$$ $$0$$ $$-8$$ $$q-\beta _{8}q^{2}+\beta _{10}q^{3}+(-\beta _{4}+\beta _{6}+\beta _{7}+\cdots)q^{4}+\cdots$$
91.2.k.a $$2$$ $$0.727$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$3$$ $$-4$$ $$q+(1-2\zeta_{6})q^{2}+\zeta_{6}q^{3}-q^{4}+(2-\zeta_{6})q^{5}+\cdots$$
91.2.k.b $$12$$ $$0.727$$ 12.0.$$\cdots$$.1 None $$0$$ $$-3$$ $$-3$$ $$-3$$ $$q+\beta _{9}q^{2}+(\beta _{1}+\beta _{4}+\beta _{6})q^{3}+(-1+\cdots)q^{4}+\cdots$$
91.2.q.a $$12$$ $$0.727$$ 12.0.$$\cdots$$.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{1}-\beta _{4}-\beta _{6}+\beta _{10})q^{2}+(-\beta _{2}+\cdots)q^{3}+\cdots$$
91.2.r.a $$16$$ $$0.727$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+\beta _{11}q^{2}+(-1+\beta _{3}+\beta _{6})q^{3}+(1+\cdots)q^{4}+\cdots$$
91.2.u.a $$2$$ $$0.727$$ $$\Q(\sqrt{-3})$$ None $$-3$$ $$-2$$ $$-3$$ $$-5$$ $$q+(-2+\zeta_{6})q^{2}-q^{3}+(1-\zeta_{6})q^{4}+\cdots$$
91.2.u.b $$12$$ $$0.727$$ 12.0.$$\cdots$$.1 None $$0$$ $$6$$ $$3$$ $$3$$ $$q-\beta _{10}q^{2}+(1-\beta _{1}+\beta _{3}+\beta _{8})q^{3}+\cdots$$
91.2.w.a $$28$$ $$0.727$$ None $$-2$$ $$0$$ $$-6$$ $$2$$
91.2.ba.a $$28$$ $$0.727$$ None $$-2$$ $$-6$$ $$-6$$ $$-6$$
91.2.bb.a $$32$$ $$0.727$$ None $$-2$$ $$-12$$ $$-6$$ $$-6$$
91.2.bc.a $$32$$ $$0.727$$ None $$-8$$ $$0$$ $$0$$ $$0$$
91.3.b.a $$1$$ $$2.480$$ $$\Q$$ $$\Q(\sqrt{-91})$$ $$0$$ $$0$$ $$-3$$ $$7$$ $$q+4q^{4}-3q^{5}+7q^{7}+9q^{9}-13q^{13}+\cdots$$
91.3.b.b $$1$$ $$2.480$$ $$\Q$$ $$\Q(\sqrt{-91})$$ $$0$$ $$0$$ $$3$$ $$-7$$ $$q+4q^{4}+3q^{5}-7q^{7}+9q^{9}+13q^{13}+\cdots$$
91.3.b.c $$4$$ $$2.480$$ $$\Q(i, \sqrt{26})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}+(\beta _{1}+\beta _{3})q^{3}+3q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots$$
91.3.b.d $$6$$ $$2.480$$ $$\mathbb{Q}[x]/(x^{6} + \cdots)$$ None $$0$$ $$0$$ $$-8$$ $$7$$ $$q+\beta _{1}q^{2}+\beta _{1}q^{3}+(-5+\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots$$
91.3.b.e $$6$$ $$2.480$$ $$\mathbb{Q}[x]/(x^{6} + \cdots)$$ None $$0$$ $$0$$ $$8$$ $$-7$$ $$q+\beta _{1}q^{2}-\beta _{1}q^{3}+(-5+\beta _{2})q^{4}+(2+\cdots)q^{5}+\cdots$$
91.3.d.a $$16$$ $$2.480$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$2$$ $$0$$ $$0$$ $$2$$ $$q-\beta _{2}q^{2}+\beta _{1}q^{3}+(2+\beta _{4})q^{4}+\beta _{3}q^{5}+\cdots$$
91.3.j.a $$28$$ $$2.480$$ None $$4$$ $$0$$ $$-20$$ $$0$$
91.3.l.a $$34$$ $$2.480$$ None $$0$$ $$-6$$ $$0$$ $$-19$$
91.3.m.a $$34$$ $$2.480$$ None $$1$$ $$0$$ $$-6$$ $$14$$
91.3.n.a $$4$$ $$2.480$$ $$\Q(\sqrt{-3}, \sqrt{-13})$$ None $$-2$$ $$0$$ $$0$$ $$-14$$ $$q+(-1+\beta _{2})q^{2}-\beta _{1}q^{3}+3\beta _{2}q^{4}+\cdots$$
91.3.n.b $$28$$ $$2.480$$ None $$0$$ $$0$$ $$0$$ $$12$$
91.3.o.a $$32$$ $$2.480$$ None $$-2$$ $$0$$ $$-6$$ $$-2$$
91.3.p.a $$34$$ $$2.480$$ None $$-3$$ $$0$$ $$0$$ $$-8$$
91.3.s.a $$32$$ $$2.480$$ None $$0$$ $$-12$$ $$0$$ $$0$$
91.3.t.a $$32$$ $$2.480$$ None $$-6$$ $$0$$ $$0$$ $$18$$
91.3.v.a $$34$$ $$2.480$$ None $$-2$$ $$0$$ $$-6$$ $$-7$$
91.3.x.a $$68$$ $$2.480$$ None $$-2$$ $$2$$ $$-2$$ $$-26$$
91.3.y.a $$56$$ $$2.480$$ None $$-4$$ $$0$$ $$20$$ $$0$$
91.3.z.a $$64$$ $$2.480$$ None $$-2$$ $$-4$$ $$-2$$ $$-2$$
91.3.bd.a $$68$$ $$2.480$$ None $$-2$$ $$-4$$ $$-2$$ $$6$$
91.4.a.a $$3$$ $$5.369$$ 3.3.1384.1 None $$1$$ $$1$$ $$-22$$ $$-21$$ $$-$$ $$q+\beta _{1}q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+(-1-\beta _{1}+\cdots)q^{4}+\cdots$$
91.4.a.b $$4$$ $$5.369$$ 4.4.5364412.1 None $$-4$$ $$-5$$ $$-36$$ $$28$$ $$-$$ $$q+(-1+\beta _{1})q^{2}+(-1-\beta _{1}-\beta _{2})q^{3}+\cdots$$
91.4.a.c $$5$$ $$5.369$$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None $$7$$ $$-5$$ $$16$$ $$-35$$ $$+$$ $$q+(1+\beta _{4})q^{2}+(-1-\beta _{3})q^{3}+(10-\beta _{2}+\cdots)q^{4}+\cdots$$
91.4.a.d $$6$$ $$5.369$$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None $$2$$ $$13$$ $$26$$ $$42$$ $$+$$ $$q+\beta _{1}q^{2}+(2-\beta _{4})q^{3}+(2+\beta _{2})q^{4}+\cdots$$