## Results (19 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
503.1.b.a $$1$$ $$0.251$$ $$\Q$$ $$\Q(\sqrt{-503})$$ None $$2$$ $$-1$$ $$0$$ $$-1$$ $$q+2q^{2}-q^{3}+3q^{4}-2q^{6}-q^{7}+4q^{8}+\cdots$$
503.1.b.b $$3$$ $$0.251$$ $$\Q(\zeta_{14})^+$$ $$\Q(\sqrt{-503})$$ None $$-1$$ $$-1$$ $$0$$ $$-1$$ $$q-\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}+(2+\beta _{2})q^{6}+\cdots$$
503.1.b.c $$6$$ $$0.251$$ $$\Q(\zeta_{21})^+$$ $$\Q(\sqrt{-503})$$ None $$-2$$ $$1$$ $$0$$ $$1$$ $$q+\beta _{3}q^{2}+\beta _{4}q^{3}+(-\beta _{3}+\beta _{5})q^{4}+\cdots$$
503.2.a.a $$1$$ $$4.016$$ $$\Q$$ None None $$-1$$ $$1$$ $$-4$$ $$-3$$ $$-$$ $$q-q^{2}+q^{3}-q^{4}-4q^{5}-q^{6}-3q^{7}+\cdots$$
503.2.a.b $$1$$ $$4.016$$ $$\Q$$ None None $$1$$ $$1$$ $$-2$$ $$-3$$ $$+$$ $$q+q^{2}+q^{3}-q^{4}-2q^{5}+q^{6}-3q^{7}+\cdots$$
503.2.a.c $$1$$ $$4.016$$ $$\Q$$ None None $$1$$ $$3$$ $$-2$$ $$3$$ $$-$$ $$q+q^{2}+3q^{3}-q^{4}-2q^{5}+3q^{6}+3q^{7}+\cdots$$
503.2.a.d $$3$$ $$4.016$$ 3.3.257.1 None None $$0$$ $$1$$ $$0$$ $$1$$ $$-$$ $$q+\beta _{2}q^{2}+\beta _{1}q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+\cdots$$
503.2.a.e $$10$$ $$4.016$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$-4$$ $$-8$$ $$-1$$ $$-5$$ $$+$$ $$q-\beta _{9}q^{2}+(-1+\beta _{1})q^{3}+\beta _{5}q^{4}-\beta _{2}q^{5}+\cdots$$
503.2.a.f $$26$$ $$4.016$$ None None $$4$$ $$4$$ $$9$$ $$11$$ $$-$$
503.2.c.a $$10250$$ $$4.016$$ None None $$-249$$ $$-249$$ $$-245$$ $$-247$$
503.3.b.a $$21$$ $$13.706$$ $$\Q(\sqrt{-503})$$ None $$0$$ $$0$$ $$0$$ $$0$$
503.3.b.b $$62$$ $$13.706$$ None None $$-2$$ $$-2$$ $$0$$ $$-8$$
503.4.a.a $$1$$ $$29.678$$ $$\Q$$ None None $$5$$ $$7$$ $$-4$$ $$-3$$ $$+$$ $$q+5q^{2}+7q^{3}+17q^{4}-4q^{5}+35q^{6}+\cdots$$
503.4.a.b $$52$$ $$29.678$$ None None $$-11$$ $$-31$$ $$-22$$ $$-101$$ $$-$$
503.4.a.c $$72$$ $$29.678$$ None None $$4$$ $$22$$ $$42$$ $$98$$ $$+$$
503.6.a.a $$94$$ $$80.673$$ None None $$-21$$ $$-91$$ $$-187$$ $$-628$$ $$+$$
503.6.a.b $$115$$ $$80.673$$ None None $$19$$ $$89$$ $$113$$ $$744$$ $$-$$
503.8.a.a $$136$$ $$157.130$$ None None $$-41$$ $$-271$$ $$-627$$ $$-5000$$ $$-$$
503.8.a.b $$157$$ $$157.130$$ None None $$39$$ $$269$$ $$873$$ $$4604$$ $$+$$