## Results (16 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
2004.1.g.a $$1$$ $$1.000$$ $$\Q$$ $$\Q(\sqrt{-167})$$, $$\Q(\sqrt{-501})$$ $$\Q(\sqrt{3})$$ $$-1$$ $$-1$$ $$0$$ $$0$$ $$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$$
2004.1.g.b $$1$$ $$1.000$$ $$\Q$$ $$\Q(\sqrt{-167})$$, $$\Q(\sqrt{-501})$$ $$\Q(\sqrt{3})$$ $$1$$ $$1$$ $$0$$ $$0$$ $$q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots$$
2004.1.g.c $$2$$ $$1.000$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-501})$$ None $$-2$$ $$2$$ $$0$$ $$0$$ $$q-q^{2}+q^{3}+q^{4}-\beta q^{5}-q^{6}-q^{8}+\cdots$$
2004.1.g.d $$2$$ $$1.000$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-501})$$ None $$2$$ $$-2$$ $$0$$ $$0$$ $$q+q^{2}-q^{3}+q^{4}-\beta q^{5}-q^{6}+q^{8}+\cdots$$
2004.1.g.e $$10$$ $$1.000$$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-167})$$ None $$-1$$ $$-1$$ $$0$$ $$0$$ $$q+\zeta_{22}^{6}q^{2}+\zeta_{22}^{2}q^{3}-\zeta_{22}q^{4}+\zeta_{22}^{8}q^{6}+\cdots$$
2004.1.g.f $$10$$ $$1.000$$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-167})$$ None $$1$$ $$1$$ $$0$$ $$0$$ $$q-\zeta_{22}^{6}q^{2}+\zeta_{22}^{9}q^{3}-\zeta_{22}q^{4}+\zeta_{22}^{4}q^{6}+\cdots$$
2004.2.a.a $$5$$ $$16.002$$ 5.5.149169.1 None None $$0$$ $$-5$$ $$-3$$ $$-2$$ $$+$$ $$q-q^{3}+(-\beta _{1}+\beta _{3}-\beta _{4})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots$$
2004.2.a.b $$5$$ $$16.002$$ 5.5.161121.1 None None $$0$$ $$5$$ $$-7$$ $$-2$$ $$+$$ $$q+q^{3}+(-1-\beta _{3}-\beta _{4})q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots$$
2004.2.a.c $$9$$ $$16.002$$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None None $$0$$ $$-9$$ $$1$$ $$2$$ $$-$$ $$q-q^{3}+\beta _{1}q^{5}+(-\beta _{3}-\beta _{6})q^{7}+q^{9}+\cdots$$
2004.2.a.d $$9$$ $$16.002$$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None None $$0$$ $$9$$ $$9$$ $$2$$ $$-$$ $$q+q^{3}+(1-\beta _{1})q^{5}-\beta _{6}q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots$$
2004.2.h.a $$56$$ $$16.002$$ None None $$0$$ $$0$$ $$0$$ $$0$$
2004.3.e.a $$56$$ $$54.605$$ None None $$0$$ $$0$$ $$0$$ $$0$$
2004.4.a.a $$18$$ $$118.240$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$0$$ $$54$$ $$-24$$ $$-22$$ $$-$$ $$q+3q^{3}+(-1-\beta _{1})q^{5}+(-1+\beta _{5}+\cdots)q^{7}+\cdots$$
2004.4.a.b $$19$$ $$118.240$$ $$\mathbb{Q}[x]/(x^{19} - \cdots)$$ None None $$0$$ $$-57$$ $$-8$$ $$-14$$ $$-$$ $$q-3q^{3}-\beta _{1}q^{5}+(-1-\beta _{10})q^{7}+9q^{9}+\cdots$$
2004.4.a.c $$22$$ $$118.240$$ None None $$0$$ $$66$$ $$56$$ $$6$$ $$+$$
2004.4.a.d $$23$$ $$118.240$$ None None $$0$$ $$-69$$ $$12$$ $$14$$ $$+$$