## Results (displaying all 13 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
2008.1.c.a $$3$$ $$1.002$$ $$\Q(\zeta_{14})^+$$ $$\Q(\sqrt{-502})$$ None $$-3$$ $$0$$ $$0$$ $$-1$$ $$q-q^{2}+q^{4}-\beta _{1}q^{7}-q^{8}+q^{9}-\beta _{2}q^{11}+\cdots$$
2008.1.c.b $$3$$ $$1.002$$ $$\Q(\zeta_{14})^+$$ $$\Q(\sqrt{-502})$$ None $$3$$ $$0$$ $$0$$ $$-1$$ $$q+q^{2}+q^{4}-\beta _{1}q^{7}+q^{8}+q^{9}+\beta _{2}q^{11}+\cdots$$
2008.1.j.a $$4$$ $$1.002$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-2})$$ None $$4$$ $$-2$$ $$0$$ $$0$$ $$q+q^{2}+(-\zeta_{10}+\zeta_{10}^{2})q^{3}+q^{4}+(-\zeta_{10}+\cdots)q^{6}+\cdots$$
2008.1.w.a $$20$$ $$1.002$$ $$\Q(\zeta_{50})$$ $$\Q(\sqrt{-2})$$ None $$-5$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{50}^{5}q^{2}+(\zeta_{50}^{2}+\zeta_{50}^{4})q^{3}+\zeta_{50}^{10}q^{4}+\cdots$$
2008.1.bd.a $$100$$ $$1.002$$ $$\Q(\zeta_{250})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{250}^{35}q^{2}+(\zeta_{250}^{14}-\zeta_{250}^{53})q^{3}+\cdots$$
2008.2.a.a $$9$$ $$16.034$$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None None $$0$$ $$-1$$ $$-5$$ $$0$$ $$+$$ $$q-\beta _{1}q^{3}+(-1-\beta _{5})q^{5}+(\beta _{6}-\beta _{7}+\cdots)q^{7}+\cdots$$
2008.2.a.b $$12$$ $$16.034$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$3$$ $$5$$ $$5$$ $$-$$ $$q+\beta _{1}q^{3}+\beta _{8}q^{5}+\beta _{5}q^{7}+(\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots$$
2008.2.a.c $$19$$ $$16.034$$ $$\mathbb{Q}[x]/(x^{19} - \cdots)$$ None None $$0$$ $$-6$$ $$-8$$ $$-11$$ $$+$$ $$q-\beta _{1}q^{3}+\beta _{4}q^{5}+(-1-\beta _{13})q^{7}+\cdots$$
2008.2.a.d $$23$$ $$16.034$$ None None $$0$$ $$2$$ $$8$$ $$2$$ $$-$$
2008.4.a.a $$40$$ $$118.476$$ None None $$0$$ $$-4$$ $$-32$$ $$-10$$ $$-$$
2008.4.a.b $$43$$ $$118.476$$ None None $$0$$ $$16$$ $$34$$ $$41$$ $$+$$
2008.4.a.c $$50$$ $$118.476$$ None None $$0$$ $$-11$$ $$-31$$ $$-71$$ $$-$$
2008.4.a.d $$54$$ $$118.476$$ None None $$0$$ $$5$$ $$33$$ $$4$$ $$+$$