## Results (44 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
536.1.h.a $$3$$ $$0.267$$ $$\Q(\zeta_{14})^+$$ $$\Q(\sqrt{-134})$$ None $$-3$$ $$1$$ $$1$$ $$0$$ $$q-q^{2}+\beta _{1}q^{3}+q^{4}+(1-\beta _{1}+\beta _{2})q^{5}+\cdots$$
536.1.h.b $$3$$ $$0.267$$ $$\Q(\zeta_{14})^+$$ $$\Q(\sqrt{-134})$$ None $$3$$ $$-1$$ $$-1$$ $$0$$ $$q+q^{2}-\beta _{1}q^{3}+q^{4}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots$$
536.1.o.a $$2$$ $$0.267$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$-1$$ $$-2$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{2}-q^{3}+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{6}+q^{8}+\cdots$$
536.1.t.a $$10$$ $$0.267$$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-2})$$ None $$-1$$ $$-2$$ $$0$$ $$0$$ $$q-\zeta_{22}^{7}q^{2}+(\zeta_{22}^{8}+\zeta_{22}^{10})q^{3}-\zeta_{22}^{3}q^{4}+\cdots$$
536.1.ba.a $$20$$ $$0.267$$ $$\Q(\zeta_{33})$$ $$\Q(\sqrt{-2})$$ None $$1$$ $$2$$ $$0$$ $$0$$ $$q-\zeta_{66}^{23}q^{2}+(\zeta_{66}^{14}-\zeta_{66}^{31})q^{3}+\cdots$$
536.2.a.a $$2$$ $$4.280$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$-1$$ $$-2$$ $$-1$$ $$+$$ $$q-\beta q^{3}-q^{5}+(-1+\beta )q^{7}+(-2+\beta )q^{9}+\cdots$$
536.2.a.b $$3$$ $$4.280$$ 3.3.229.1 None None $$0$$ $$-3$$ $$-2$$ $$-1$$ $$+$$ $$q+(-1-\beta _{1})q^{3}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots$$
536.2.a.c $$3$$ $$4.280$$ 3.3.733.1 None None $$0$$ $$3$$ $$2$$ $$1$$ $$-$$ $$q+(1+\beta _{2})q^{3}+(1-\beta _{1}-\beta _{2})q^{5}+\beta _{1}q^{7}+\cdots$$
536.2.a.d $$4$$ $$4.280$$ 4.4.10889.1 None None $$0$$ $$-3$$ $$-1$$ $$-2$$ $$-$$ $$q+(-1+\beta _{1})q^{3}+(\beta _{1}-\beta _{3})q^{5}+(-2+\cdots)q^{7}+\cdots$$
536.2.a.e $$5$$ $$4.280$$ 5.5.648101.1 None None $$0$$ $$4$$ $$1$$ $$7$$ $$-$$ $$q+(1-\beta _{1})q^{3}+(1-\beta _{1}-\beta _{2}-\beta _{3})q^{5}+\cdots$$
536.2.c.a $$66$$ $$4.280$$ None None $$0$$ $$0$$ $$0$$ $$0$$
536.2.e.a $$2$$ $$4.280$$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{2}-2\beta q^{3}-2q^{4}+4q^{6}-2\beta q^{8}+\cdots$$
536.2.e.b $$64$$ $$4.280$$ None None $$0$$ $$0$$ $$0$$ $$0$$
536.2.i.a $$4$$ $$4.280$$ $$\Q(\sqrt{-3}, \sqrt{17})$$ None None $$0$$ $$-2$$ $$8$$ $$1$$ $$q+\beta _{3}q^{3}+2q^{5}+(-\beta _{1}+\beta _{2})q^{7}+(1+\cdots)q^{9}+\cdots$$
536.2.i.b $$14$$ $$4.280$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$0$$ $$6$$ $$-10$$ $$-5$$ $$q-\beta _{2}q^{3}+(-1+\beta _{6}-\beta _{8})q^{5}+(-\beta _{4}+\cdots)q^{7}+\cdots$$
536.2.i.c $$16$$ $$4.280$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$2$$ $$-2$$ $$0$$ $$q+\beta _{2}q^{3}-\beta _{8}q^{5}+\beta _{6}q^{7}+(1-\beta _{4}+\cdots)q^{9}+\cdots$$
536.2.j.a $$132$$ $$4.280$$ None None $$-3$$ $$0$$ $$0$$ $$-6$$
536.2.l.a $$4$$ $$4.280$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(-1+2\beta _{2}-\beta _{3})q^{3}+2\beta _{2}q^{4}+\cdots$$
536.2.l.b $$128$$ $$4.280$$ None None $$-3$$ $$0$$ $$0$$ $$0$$
536.2.q.a $$80$$ $$4.280$$ None None $$0$$ $$-1$$ $$1$$ $$-6$$
536.2.q.b $$90$$ $$4.280$$ None None $$0$$ $$1$$ $$1$$ $$2$$
536.2.u.a $$20$$ $$4.280$$ 20.0.$$\cdots$$.5 $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{7}q^{2}+(-\beta _{1}+\beta _{3}-\beta _{5}+\beta _{7}-\beta _{8}+\cdots)q^{3}+\cdots$$
536.2.u.b $$640$$ $$4.280$$ None None $$-11$$ $$-22$$ $$0$$ $$0$$
536.2.w.a $$660$$ $$4.280$$ None None $$-11$$ $$0$$ $$0$$ $$-22$$
536.2.y.a $$160$$ $$4.280$$ None None $$0$$ $$-2$$ $$2$$ $$0$$
536.2.y.b $$180$$ $$4.280$$ None None $$0$$ $$-4$$ $$2$$ $$4$$
536.2.bd.a $$40$$ $$4.280$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$
536.2.bd.b $$1280$$ $$4.280$$ None None $$-19$$ $$-44$$ $$0$$ $$0$$
536.2.bf.a $$1320$$ $$4.280$$ None None $$-19$$ $$0$$ $$0$$ $$-38$$
536.3.b.a $$34$$ $$14.605$$ None None $$0$$ $$0$$ $$0$$ $$0$$
536.3.k.a $$68$$ $$14.605$$ None None $$0$$ $$0$$ $$0$$ $$0$$
536.4.a.a $$10$$ $$31.625$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$0$$ $$0$$ $$-5$$ $$3$$ $$-$$ $$q+\beta _{1}q^{3}+\beta _{3}q^{5}+(-\beta _{1}+\beta _{7})q^{7}+\cdots$$
536.4.a.b $$11$$ $$31.625$$ $$\mathbb{Q}[x]/(x^{11} - \cdots)$$ None None $$0$$ $$-12$$ $$-3$$ $$-37$$ $$-$$ $$q+(-1-\beta _{1})q^{3}-\beta _{3}q^{5}+(-3-\beta _{7}+\cdots)q^{7}+\cdots$$
536.4.a.c $$13$$ $$31.625$$ $$\mathbb{Q}[x]/(x^{13} - \cdots)$$ None None $$0$$ $$9$$ $$12$$ $$19$$ $$+$$ $$q+(1-\beta _{1})q^{3}+(1+\beta _{2})q^{5}+(1+\beta _{4}+\cdots)q^{7}+\cdots$$
536.4.a.d $$15$$ $$31.625$$ $$\mathbb{Q}[x]/(x^{15} - \cdots)$$ None None $$0$$ $$3$$ $$10$$ $$3$$ $$+$$ $$q+\beta _{1}q^{3}+(1+\beta _{3})q^{5}-\beta _{6}q^{7}+(12+\cdots)q^{9}+\cdots$$
536.5.b.a $$68$$ $$55.406$$ None None $$0$$ $$0$$ $$0$$ $$0$$
536.6.a.a $$18$$ $$85.966$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$0$$ $$-9$$ $$24$$ $$-13$$ $$+$$ $$q-\beta _{1}q^{3}+(1-\beta _{6})q^{5}+(-1+\beta _{1}-\beta _{3}+\cdots)q^{7}+\cdots$$
536.6.a.b $$20$$ $$85.966$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$0$$ $$-27$$ $$-50$$ $$-221$$ $$+$$ $$q+(-1-\beta _{1})q^{3}+(-3+\beta _{6})q^{5}+(-11+\cdots)q^{7}+\cdots$$
536.6.a.c $$22$$ $$85.966$$ None None $$0$$ $$36$$ $$25$$ $$171$$ $$-$$
536.6.a.d $$23$$ $$85.966$$ None None $$0$$ $$0$$ $$99$$ $$-13$$ $$-$$
536.8.a.a $$26$$ $$167.438$$ None None $$0$$ $$0$$ $$-43$$ $$399$$ $$-$$
536.8.a.b $$28$$ $$167.438$$ None None $$0$$ $$-108$$ $$-555$$ $$-1097$$ $$-$$
536.8.a.c $$30$$ $$167.438$$ None None $$0$$ $$81$$ $$-180$$ $$1647$$ $$+$$
536.8.a.d $$31$$ $$167.438$$ None None $$0$$ $$27$$ $$332$$ $$399$$ $$+$$