## Results (27 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
2169.1.bp.a $$8$$ $$1.082$$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{16}^{6}q^{4}+(-\zeta_{16}^{2}-\zeta_{16}^{7})q^{7}+\cdots$$
2169.1.de.a $$32$$ $$1.082$$ $$\Q(\zeta_{80})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{80}^{30}q^{4}+(\zeta_{80}^{18}-\zeta_{80}^{19})q^{7}+\cdots$$
2169.2.a.a $$1$$ $$17.320$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$+$$ $$q-2q^{4}-2q^{7}+q^{11}+4q^{16}+2q^{17}+\cdots$$
2169.2.a.b $$1$$ $$17.320$$ $$\Q$$ None None $$1$$ $$0$$ $$2$$ $$0$$ $$-$$ $$q+q^{2}-q^{4}+2q^{5}-3q^{8}+2q^{10}+\cdots$$
2169.2.a.c $$2$$ $$17.320$$ $$\Q(\sqrt{5})$$ None None $$-2$$ $$0$$ $$-4$$ $$2$$ $$-$$ $$q-q^{2}-q^{4}-2q^{5}+(1+\beta )q^{7}+3q^{8}+\cdots$$
2169.2.a.d $$5$$ $$17.320$$ 5.5.24217.1 None None $$2$$ $$0$$ $$8$$ $$-7$$ $$+$$ $$q+(\beta _{1}+\beta _{2}-\beta _{4})q^{2}-\beta _{4}q^{4}+(2-\beta _{1}+\cdots)q^{5}+\cdots$$
2169.2.a.e $$7$$ $$17.320$$ 7.7.31056073.1 None None $$4$$ $$0$$ $$8$$ $$-7$$ $$-$$ $$q+(1-\beta _{1})q^{2}+(1-\beta _{1}+\beta _{2}-\beta _{3})q^{4}+\cdots$$
2169.2.a.f $$9$$ $$17.320$$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None None $$-3$$ $$0$$ $$-12$$ $$-5$$ $$+$$ $$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{8})q^{5}+\cdots$$
2169.2.a.g $$10$$ $$17.320$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$4$$ $$0$$ $$10$$ $$3$$ $$-$$ $$q-\beta _{9}q^{2}+(1+\beta _{7}-\beta _{9})q^{4}+(\beta _{2}+\beta _{3}+\cdots)q^{5}+\cdots$$
2169.2.a.h $$12$$ $$17.320$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$-3$$ $$0$$ $$-6$$ $$3$$ $$+$$ $$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{9})q^{5}+\cdots$$
2169.2.a.i $$13$$ $$17.320$$ $$\mathbb{Q}[x]/(x^{13} - \cdots)$$ None None $$-1$$ $$0$$ $$-6$$ $$9$$ $$-$$ $$q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}-\beta _{7}q^{5}+(1+\beta _{11}+\cdots)q^{7}+\cdots$$
2169.2.a.j $$14$$ $$17.320$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-14$$ $$+$$ $$q+\beta _{1}q^{2}+\beta _{2}q^{4}-\beta _{12}q^{5}+(-1-\beta _{8}+\cdots)q^{7}+\cdots$$
2169.2.a.k $$26$$ $$17.320$$ None None $$0$$ $$0$$ $$0$$ $$22$$ $$-$$
2169.2.d.a $$4$$ $$17.320$$ 4.0.696972.1 $$\Q(\sqrt{-723})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-2q^{4}+\beta _{2}q^{11}+4q^{16}+\beta _{1}q^{17}+\cdots$$
2169.2.d.b $$4$$ $$17.320$$ $$\Q(\sqrt{-2}, \sqrt{3})$$ None None $$0$$ $$0$$ $$8$$ $$0$$ $$q+\beta _{2}q^{2}+q^{4}+(2-\beta _{2})q^{5}+(-2\beta _{1}+\cdots)q^{7}+\cdots$$
2169.2.d.c $$16$$ $$17.320$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$2$$ $$0$$ $$-4$$ $$0$$ $$q-\beta _{11}q^{2}+(1-\beta _{5}+\beta _{6}-\beta _{8})q^{4}+\cdots$$
2169.2.d.d $$18$$ $$17.320$$ $$\mathbb{Q}[x]/(x^{18} + \cdots)$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-\beta _{3}q^{2}-\beta _{2}q^{4}+\beta _{13}q^{5}+\beta _{1}q^{7}+\cdots$$
2169.2.d.e $$22$$ $$17.320$$ None None $$0$$ $$0$$ $$4$$ $$0$$
2169.2.d.f $$36$$ $$17.320$$ None None $$0$$ $$0$$ $$0$$ $$0$$
2169.4.a.a $$25$$ $$127.975$$ None None $$7$$ $$0$$ $$54$$ $$-86$$ $$-$$
2169.4.a.b $$27$$ $$127.975$$ None None $$11$$ $$0$$ $$50$$ $$-68$$ $$+$$
2169.4.a.c $$29$$ $$127.975$$ None None $$-9$$ $$0$$ $$-62$$ $$-30$$ $$-$$
2169.4.a.d $$31$$ $$127.975$$ None None $$7$$ $$0$$ $$58$$ $$26$$ $$+$$
2169.4.a.e $$33$$ $$127.975$$ None None $$-9$$ $$0$$ $$-50$$ $$58$$ $$-$$
2169.4.a.f $$35$$ $$127.975$$ None None $$-9$$ $$0$$ $$-66$$ $$110$$ $$+$$
2169.4.a.g $$54$$ $$127.975$$ None None $$0$$ $$0$$ $$0$$ $$-136$$ $$-$$
2169.4.a.h $$66$$ $$127.975$$ None None $$0$$ $$0$$ $$0$$ $$116$$ $$+$$