## Results (1-50 of 102 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
456.1.l.a $$1$$ $$0.228$$ $$\Q$$ $$\Q(\sqrt{-2})$$, $$\Q(\sqrt{-114})$$ $$\Q(\sqrt{57})$$ $$-1$$ $$1$$ $$0$$ $$0$$ $$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$$
456.1.l.b $$1$$ $$0.228$$ $$\Q$$ $$\Q(\sqrt{-2})$$, $$\Q(\sqrt{-114})$$ $$\Q(\sqrt{57})$$ $$1$$ $$-1$$ $$0$$ $$0$$ $$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$$
456.1.s.a $$2$$ $$0.228$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$-1$$ $$-2$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}-q^{3}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{6}+\cdots$$
456.1.s.b $$2$$ $$0.228$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$1$$ $$-1$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}-q^{6}-q^{8}+\cdots$$
456.1.bt.a $$6$$ $$0.228$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{18}^{5}q^{2}-\zeta_{18}^{7}q^{3}-\zeta_{18}q^{4}+\zeta_{18}^{3}q^{6}+\cdots$$
456.1.bt.b $$6$$ $$0.228$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$3$$ $$0$$ $$0$$ $$q-\zeta_{18}^{5}q^{2}-\zeta_{18}^{6}q^{3}-\zeta_{18}q^{4}-\zeta_{18}^{2}q^{6}+\cdots$$
456.2.a.a $$1$$ $$3.641$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$-3$$ $$+$$ $$q-q^{3}+q^{5}-3q^{7}+q^{9}-5q^{11}-2q^{13}+\cdots$$
456.2.a.b $$1$$ $$3.641$$ $$\Q$$ None None $$0$$ $$-1$$ $$4$$ $$4$$ $$-$$ $$q-q^{3}+4q^{5}+4q^{7}+q^{9}-4q^{11}+\cdots$$
456.2.a.c $$1$$ $$3.641$$ $$\Q$$ None None $$0$$ $$1$$ $$-3$$ $$-3$$ $$+$$ $$q+q^{3}-3q^{5}-3q^{7}+q^{9}-q^{11}-2q^{13}+\cdots$$
456.2.a.d $$1$$ $$3.641$$ $$\Q$$ None None $$0$$ $$1$$ $$2$$ $$0$$ $$-$$ $$q+q^{3}+2q^{5}+q^{9}+2q^{13}+2q^{15}+\cdots$$
456.2.a.e $$2$$ $$3.641$$ $$\Q(\sqrt{41})$$ None None $$0$$ $$-2$$ $$-1$$ $$-3$$ $$-$$ $$q-q^{3}-\beta q^{5}+(-2+\beta )q^{7}+q^{9}+(2+\cdots)q^{11}+\cdots$$
456.2.a.f $$2$$ $$3.641$$ $$\Q(\sqrt{17})$$ None None $$0$$ $$2$$ $$1$$ $$1$$ $$-$$ $$q+q^{3}+\beta q^{5}+\beta q^{7}+q^{9}+(4-\beta )q^{11}+\cdots$$
456.2.e.a $$40$$ $$3.641$$ None None $$0$$ $$0$$ $$0$$ $$0$$
456.2.f.a $$10$$ $$3.641$$ 10.0.$$\cdots$$.1 None None $$0$$ $$-1$$ $$0$$ $$-2$$ $$q+\beta _{5}q^{3}+\beta _{6}q^{5}-\beta _{4}q^{7}-\beta _{3}q^{9}+\cdots$$
456.2.f.b $$10$$ $$3.641$$ 10.0.$$\cdots$$.1 None None $$0$$ $$1$$ $$0$$ $$-2$$ $$q-\beta _{5}q^{3}+\beta _{6}q^{5}-\beta _{4}q^{7}-\beta _{3}q^{9}+\cdots$$
456.2.g.a $$18$$ $$3.641$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$2$$ $$0$$ $$0$$ $$-12$$ $$q+\beta _{14}q^{2}-\beta _{3}q^{3}-\beta _{2}q^{4}+\beta _{13}q^{5}+\cdots$$
456.2.g.b $$18$$ $$3.641$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$2$$ $$0$$ $$0$$ $$20$$ $$q+\beta _{9}q^{2}+\beta _{4}q^{3}+\beta _{2}q^{4}-\beta _{5}q^{5}+\cdots$$
456.2.j.a $$4$$ $$3.641$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(-1+\beta _{2})q^{3}+(1+\beta _{3})q^{4}+\cdots$$
456.2.j.b $$8$$ $$3.641$$ 8.0.170772624.1 None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+\beta _{5}q^{2}+(-\beta _{1}-\beta _{5}-\beta _{6}-\beta _{7})q^{3}+\cdots$$
456.2.j.c $$12$$ $$3.641$$ 12.0.$$\cdots$$.1 None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}-\beta _{8}q^{3}+(-\beta _{4}+\beta _{5})q^{4}+\cdots$$
456.2.j.d $$24$$ $$3.641$$ None None $$0$$ $$2$$ $$0$$ $$0$$
456.2.j.e $$24$$ $$3.641$$ None None $$0$$ $$6$$ $$0$$ $$0$$
456.2.p.a $$12$$ $$3.641$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ $$\Q(\sqrt{-38})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{2}+\beta _{8}q^{3}-2q^{4}-\beta _{2}q^{6}+(\beta _{10}+\cdots)q^{7}+\cdots$$
456.2.p.b $$64$$ $$3.641$$ None None $$0$$ $$0$$ $$0$$ $$-8$$
456.2.q.a $$2$$ $$3.641$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$-2$$ $$-6$$ $$q+(-1+\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{5}-3q^{7}+\cdots$$
456.2.q.b $$2$$ $$3.641$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$0$$ $$6$$ $$q+(-1+\zeta_{6})q^{3}+3q^{7}-\zeta_{6}q^{9}+2q^{11}+\cdots$$
456.2.q.c $$2$$ $$3.641$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$2$$ $$-10$$ $$q+(1-\zeta_{6})q^{3}+(2-2\zeta_{6})q^{5}-5q^{7}+\cdots$$
456.2.q.d $$4$$ $$3.641$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None None $$0$$ $$-2$$ $$2$$ $$8$$ $$q+(-1-\beta _{1})q^{3}+(1+\beta _{1}+\beta _{2})q^{5}+\cdots$$
456.2.q.e $$4$$ $$3.641$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None None $$0$$ $$2$$ $$-2$$ $$0$$ $$q+(1+\beta _{1})q^{3}+(-1-\beta _{1}-\beta _{2})q^{5}+\cdots$$
456.2.q.f $$6$$ $$3.641$$ $$\Q(\zeta_{18})$$ None None $$0$$ $$3$$ $$0$$ $$6$$ $$q+\zeta_{18}q^{3}+\zeta_{18}^{2}q^{5}+(1+\zeta_{18}^{5})q^{7}+\cdots$$
456.2.u.a $$4$$ $$3.641$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(-1+\beta _{3})q^{3}+2\beta _{2}q^{4}+\cdots$$
456.2.u.b $$4$$ $$3.641$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2}-\beta _{3})q^{3}+2\beta _{2}q^{4}+\cdots$$
456.2.u.c $$8$$ $$3.641$$ 8.0.4857532416.1 None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+(-\beta _{1}-\beta _{7})q^{2}-\beta _{3}q^{3}+(-2+2\beta _{6}+\cdots)q^{4}+\cdots$$
456.2.u.d $$136$$ $$3.641$$ None None $$0$$ $$-2$$ $$0$$ $$0$$
456.2.v.a $$152$$ $$3.641$$ None None $$0$$ $$0$$ $$0$$ $$-16$$
456.2.y.a $$80$$ $$3.641$$ None None $$0$$ $$0$$ $$0$$ $$0$$
456.2.be.a $$80$$ $$3.641$$ None None $$0$$ $$0$$ $$0$$ $$0$$
456.2.bf.a $$4$$ $$3.641$$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None None $$0$$ $$1$$ $$-3$$ $$2$$ $$q+\beta _{1}q^{3}+(-1-\beta _{3})q^{5}+(\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots$$
456.2.bf.b $$4$$ $$3.641$$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None None $$0$$ $$2$$ $$3$$ $$2$$ $$q+(1-\beta _{1}+\beta _{3})q^{3}+(1-\beta _{1})q^{5}+(1+\cdots)q^{7}+\cdots$$
456.2.bf.c $$16$$ $$3.641$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$-1$$ $$-3$$ $$0$$ $$q-\beta _{1}q^{3}-\beta _{14}q^{5}+(\beta _{5}-\beta _{13})q^{7}+\cdots$$
456.2.bf.d $$16$$ $$3.641$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$1$$ $$3$$ $$0$$ $$q+\beta _{4}q^{3}+(-\beta _{11}+\beta _{14})q^{5}+(\beta _{5}-\beta _{13}+\cdots)q^{7}+\cdots$$
456.2.bg.a $$12$$ $$3.641$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$-3$$ $$0$$ $$q+(\beta _{2}-\beta _{11})q^{3}-\beta _{1}q^{5}+(-\beta _{2}-\beta _{3}+\cdots)q^{7}+\cdots$$
456.2.bg.b $$12$$ $$3.641$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$3$$ $$-6$$ $$q-\beta _{4}q^{3}+(1+\beta _{6}+\beta _{9}+\beta _{11})q^{5}+\cdots$$
456.2.bg.c $$18$$ $$3.641$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$0$$ $$0$$ $$-3$$ $$0$$ $$q-\beta _{7}q^{3}+(\beta _{2}-\beta _{4})q^{5}+(-\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots$$
456.2.bg.d $$18$$ $$3.641$$ $$\mathbb{Q}[x]/(x^{18} + \cdots)$$ None None $$0$$ $$0$$ $$3$$ $$6$$ $$q+\beta _{9}q^{3}+(1+\beta _{5}-\beta _{6}+\beta _{12}+\beta _{16}+\cdots)q^{5}+\cdots$$
456.2.bj.a $$456$$ $$3.641$$ None None $$0$$ $$0$$ $$0$$ $$-12$$
456.2.bk.a $$240$$ $$3.641$$ None None $$0$$ $$0$$ $$0$$ $$0$$
456.2.bm.a $$60$$ $$3.641$$ None None $$0$$ $$-3$$ $$0$$ $$0$$
456.2.bm.b $$60$$ $$3.641$$ None None $$0$$ $$0$$ $$0$$ $$0$$
456.2.bp.a $$240$$ $$3.641$$ None None $$0$$ $$0$$ $$0$$ $$0$$