Results (21 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1503.1.d.a $$5$$ $$0.750$$ $$\Q(\zeta_{22})^+$$ $$\Q(\sqrt{-167})$$ None $$1$$ $$0$$ $$0$$ $$-1$$ $$q+(1-\beta _{1}+\beta _{2}-\beta _{3}+\beta _{4})q^{2}+(1-\beta _{1}+\cdots)q^{4}+\cdots$$
1503.1.f.a $$2$$ $$0.750$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-167})$$ None $$1$$ $$-1$$ $$0$$ $$1$$ $$q+\zeta_{6}q^{2}-\zeta_{6}q^{3}-\zeta_{6}^{2}q^{6}+\zeta_{6}q^{7}+\cdots$$
1503.1.f.b $$20$$ $$0.750$$ $$\Q(\zeta_{33})$$ $$\Q(\sqrt{-167})$$ None $$-1$$ $$1$$ $$0$$ $$-1$$ $$q+(-\zeta_{66}^{9}-\zeta_{66}^{13})q^{2}+\zeta_{66}^{14}q^{3}+\cdots$$
1503.2.a.a $$1$$ $$12.002$$ $$\Q$$ None None $$-1$$ $$0$$ $$4$$ $$4$$ $$-$$ $$q-q^{2}-q^{4}+4q^{5}+4q^{7}+3q^{8}-4q^{10}+\cdots$$
1503.2.a.b $$2$$ $$12.002$$ $$\Q(\sqrt{5})$$ None None $$1$$ $$0$$ $$2$$ $$-5$$ $$+$$ $$q+\beta q^{2}+(-1+\beta )q^{4}+q^{5}+(-2-\beta )q^{7}+\cdots$$
1503.2.a.c $$5$$ $$12.002$$ 5.5.38569.1 None None $$0$$ $$0$$ $$1$$ $$-4$$ $$+$$ $$q+\beta _{1}q^{2}+(\beta _{2}+\beta _{3})q^{4}+(-\beta _{1}-\beta _{4})q^{5}+\cdots$$
1503.2.a.d $$5$$ $$12.002$$ 5.5.36497.1 None None $$4$$ $$0$$ $$9$$ $$-4$$ $$-$$ $$q+(1-\beta _{3})q^{2}+(1+\beta _{1}-2\beta _{3}+\beta _{4})q^{4}+\cdots$$
1503.2.a.e $$8$$ $$12.002$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$-3$$ $$0$$ $$-7$$ $$-4$$ $$+$$ $$q-\beta _{1}q^{2}+(1+\beta _{3}+\beta _{5}+\beta _{7})q^{4}+(-1+\cdots)q^{5}+\cdots$$
1503.2.a.f $$8$$ $$12.002$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$3$$ $$0$$ $$-1$$ $$0$$ $$-$$ $$q+\beta _{3}q^{2}+(1-\beta _{2}+\beta _{5}+\beta _{6}+\beta _{7})q^{4}+\cdots$$
1503.2.a.g $$12$$ $$12.002$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$-2$$ $$0$$ $$-4$$ $$11$$ $$-$$ $$q-\beta _{1}q^{2}+(1+\beta _{4}+\beta _{6}+\beta _{7})q^{4}+(-1+\cdots)q^{5}+\cdots$$
1503.2.a.h $$14$$ $$12.002$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$-6$$ $$0$$ $$-12$$ $$0$$ $$+$$ $$q-\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(-1-\beta _{11}+\cdots)q^{5}+\cdots$$
1503.2.a.i $$14$$ $$12.002$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$6$$ $$0$$ $$12$$ $$0$$ $$-$$ $$q+\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(1+\beta _{11}+\cdots)q^{5}+\cdots$$
1503.2.c.a $$56$$ $$12.002$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1503.4.a.a $$15$$ $$88.680$$ $$\mathbb{Q}[x]/(x^{15} - \cdots)$$ None None $$7$$ $$0$$ $$26$$ $$-85$$ $$-$$ $$q+\beta _{1}q^{2}+(2+\beta _{1}+\beta _{2})q^{4}+(2+\beta _{11}+\cdots)q^{5}+\cdots$$
1503.4.a.b $$19$$ $$88.680$$ $$\mathbb{Q}[x]/(x^{19} - \cdots)$$ None None $$-1$$ $$0$$ $$-12$$ $$-28$$ $$-$$ $$q-\beta _{1}q^{2}+(3+\beta _{2})q^{4}+(-1-\beta _{13}+\cdots)q^{5}+\cdots$$
1503.4.a.c $$19$$ $$88.680$$ $$\mathbb{Q}[x]/(x^{19} - \cdots)$$ None None $$9$$ $$0$$ $$62$$ $$-28$$ $$+$$ $$q+\beta _{1}q^{2}+(2+\beta _{1}+\beta _{2})q^{4}+(4-\beta _{1}+\cdots)q^{5}+\cdots$$
1503.4.a.d $$23$$ $$88.680$$ None None $$-11$$ $$0$$ $$-48$$ $$28$$ $$-$$
1503.4.a.e $$23$$ $$88.680$$ None None $$3$$ $$0$$ $$-2$$ $$28$$ $$+$$
1503.4.a.f $$26$$ $$88.680$$ None None $$-5$$ $$0$$ $$-34$$ $$83$$ $$+$$
1503.4.a.g $$41$$ $$88.680$$ None None $$-12$$ $$0$$ $$-60$$ $$-20$$ $$-$$
1503.4.a.h $$41$$ $$88.680$$ None None $$12$$ $$0$$ $$60$$ $$-20$$ $$+$$