## Results (1-50 of 69 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
671.1.d.a $$1$$ $$0.335$$ $$\Q$$ $$\Q(\sqrt{-671})$$ None $$-1$$ $$-1$$ $$2$$ $$-1$$ $$q-q^{2}-q^{3}+2q^{5}+q^{6}-q^{7}+q^{8}+\cdots$$
671.1.d.b $$1$$ $$0.335$$ $$\Q$$ $$\Q(\sqrt{-671})$$ None $$1$$ $$-1$$ $$2$$ $$1$$ $$q+q^{2}-q^{3}+2q^{5}-q^{6}+q^{7}-q^{8}+\cdots$$
671.1.d.c $$2$$ $$0.335$$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-671})$$ None $$-1$$ $$-1$$ $$-1$$ $$4$$ $$q+(-1+\beta )q^{2}-\beta q^{3}+(1-\beta )q^{4}-\beta q^{5}+\cdots$$
671.1.d.d $$2$$ $$0.335$$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-671})$$ None $$1$$ $$-1$$ $$-1$$ $$-4$$ $$q+(1-\beta )q^{2}-\beta q^{3}+(1-\beta )q^{4}-\beta q^{5}+\cdots$$
671.1.d.e $$4$$ $$0.335$$ $$\Q(\zeta_{15})^+$$ $$\Q(\sqrt{-671})$$ None $$-1$$ $$1$$ $$-2$$ $$4$$ $$q-\beta _{1}q^{2}+(-\beta _{2}-\beta _{3})q^{3}+(1+\beta _{2}+\cdots)q^{4}+\cdots$$
671.1.d.f $$4$$ $$0.335$$ $$\Q(\zeta_{15})^+$$ $$\Q(\sqrt{-671})$$ None $$1$$ $$1$$ $$-2$$ $$-4$$ $$q+\beta _{1}q^{2}+(-\beta _{2}-\beta _{3})q^{3}+(1+\beta _{2}+\cdots)q^{4}+\cdots$$
671.1.p.a $$4$$ $$0.335$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q-\zeta_{12}q^{2}-\zeta_{12}^{4}q^{5}-\zeta_{12}q^{7}+\zeta_{12}^{3}q^{8}+\cdots$$
671.2.a.a $$5$$ $$5.358$$ 5.5.24217.1 None None $$-2$$ $$0$$ $$-2$$ $$-1$$ $$+$$ $$q+\beta _{1}q^{2}+(-\beta _{1}+\beta _{4})q^{3}+(-2\beta _{1}+\cdots)q^{4}+\cdots$$
671.2.a.b $$6$$ $$5.358$$ 6.6.2661761.1 None None $$0$$ $$-1$$ $$-1$$ $$-5$$ $$+$$ $$q+\beta _{3}q^{2}-\beta _{1}q^{3}-\beta _{5}q^{4}+(\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots$$
671.2.a.c $$19$$ $$5.358$$ $$\mathbb{Q}[x]/(x^{19} - \cdots)$$ None None $$5$$ $$0$$ $$0$$ $$9$$ $$-$$ $$q+\beta _{1}q^{2}+\beta _{11}q^{3}+(1+\beta _{2})q^{4}-\beta _{3}q^{5}+\cdots$$
671.2.a.d $$21$$ $$5.358$$ None None $$0$$ $$3$$ $$7$$ $$5$$ $$-$$
671.2.c.a $$52$$ $$5.358$$ None None $$0$$ $$4$$ $$0$$ $$0$$
671.2.e.a $$52$$ $$5.358$$ None None $$-2$$ $$2$$ $$0$$ $$-7$$
671.2.e.b $$52$$ $$5.358$$ None None $$0$$ $$2$$ $$0$$ $$5$$
671.2.f.a $$120$$ $$5.358$$ None None $$0$$ $$0$$ $$0$$ $$0$$
671.2.h.a $$4$$ $$5.358$$ $$\Q(\zeta_{10})$$ None None $$-3$$ $$1$$ $$4$$ $$2$$ $$q+(-1+\zeta_{10})q^{2}+\zeta_{10}q^{3}+(1+\zeta_{10}^{2}+\cdots)q^{4}+\cdots$$
671.2.h.b $$236$$ $$5.358$$ None None $$2$$ $$-2$$ $$-6$$ $$1$$
671.2.i.a $$108$$ $$5.358$$ None None $$-2$$ $$-2$$ $$4$$ $$8$$
671.2.i.b $$108$$ $$5.358$$ None None $$0$$ $$-2$$ $$4$$ $$10$$
671.2.j.a $$4$$ $$5.358$$ $$\Q(\zeta_{10})$$ None None $$2$$ $$6$$ $$-1$$ $$-3$$ $$q+(2-2\zeta_{10}+2\zeta_{10}^{2}-2\zeta_{10}^{3})q^{2}+\cdots$$
671.2.j.b $$108$$ $$5.358$$ None None $$-3$$ $$5$$ $$7$$ $$-6$$
671.2.j.c $$128$$ $$5.358$$ None None $$-5$$ $$-17$$ $$-8$$ $$-3$$
671.2.k.a $$4$$ $$5.358$$ $$\Q(\zeta_{10})$$ None None $$2$$ $$5$$ $$4$$ $$2$$ $$q+(\zeta_{10}+\zeta_{10}^{3})q^{2}+(2-2\zeta_{10}-\zeta_{10}^{3})q^{3}+\cdots$$
671.2.k.b $$236$$ $$5.358$$ None None $$-3$$ $$-6$$ $$-16$$ $$1$$
671.2.l.a $$4$$ $$5.358$$ $$\Q(\zeta_{10})$$ None None $$-3$$ $$0$$ $$-1$$ $$2$$ $$q+(-1-\zeta_{10}^{2})q^{2}+(1+2\zeta_{10}^{2}-2\zeta_{10}^{3})q^{3}+\cdots$$
671.2.l.b $$236$$ $$5.358$$ None None $$2$$ $$-6$$ $$4$$ $$-4$$
671.2.m.a $$4$$ $$5.358$$ $$\Q(\zeta_{10})$$ None None $$2$$ $$1$$ $$-6$$ $$2$$ $$q+(-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}-\zeta_{10}^{2}q^{3}+\cdots$$
671.2.m.b $$236$$ $$5.358$$ None None $$-8$$ $$-2$$ $$4$$ $$-9$$
671.2.o.a $$100$$ $$5.358$$ None None $$0$$ $$4$$ $$-6$$ $$6$$
671.2.q.a $$240$$ $$5.358$$ None None $$0$$ $$-1$$ $$0$$ $$-5$$
671.2.x.a $$240$$ $$5.358$$ None None $$0$$ $$-6$$ $$-10$$ $$0$$
671.2.ba.a $$240$$ $$5.358$$ None None $$-5$$ $$-1$$ $$0$$ $$-5$$
671.2.bc.a $$208$$ $$5.358$$ None None $$0$$ $$-4$$ $$-10$$ $$-30$$
671.2.bd.a $$240$$ $$5.358$$ None None $$-5$$ $$-1$$ $$0$$ $$-5$$
671.2.bf.a $$240$$ $$5.358$$ None None $$-5$$ $$-6$$ $$-5$$ $$0$$
671.2.bj.a $$240$$ $$5.358$$ None None $$0$$ $$0$$ $$-12$$ $$0$$
671.2.bk.a $$480$$ $$5.358$$ None None $$-3$$ $$-2$$ $$-16$$ $$-11$$
671.2.bl.a $$480$$ $$5.358$$ None None $$-8$$ $$-2$$ $$-6$$ $$-6$$
671.2.bm.a $$480$$ $$5.358$$ None None $$-3$$ $$-12$$ $$-1$$ $$-6$$
671.2.bn.a $$208$$ $$5.358$$ None None $$0$$ $$-2$$ $$-10$$ $$-10$$
671.2.bn.b $$208$$ $$5.358$$ None None $$2$$ $$-2$$ $$-10$$ $$-8$$
671.2.bo.a $$480$$ $$5.358$$ None None $$-8$$ $$-2$$ $$-1$$ $$-6$$
671.2.bp.a $$480$$ $$5.358$$ None None $$-8$$ $$-12$$ $$-6$$ $$-1$$
671.2.br.a $$480$$ $$5.358$$ None None $$-10$$ $$0$$ $$-10$$ $$-10$$
671.2.bt.a $$480$$ $$5.358$$ None None $$-10$$ $$-10$$ $$-10$$ $$-20$$
671.2.bv.a $$480$$ $$5.358$$ None None $$-10$$ $$-10$$ $$0$$ $$-10$$
671.2.bw.a $$480$$ $$5.358$$ None None $$0$$ $$-20$$ $$-20$$ $$0$$
671.2.by.a $$480$$ $$5.358$$ None None $$-10$$ $$-10$$ $$-10$$ $$-10$$
671.2.cb.a $$480$$ $$5.358$$ None None $$-10$$ $$0$$ $$0$$ $$0$$
671.2.ce.a $$480$$ $$5.358$$ None None $$-4$$ $$-2$$ $$0$$ $$2$$