## Results (15 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
3484.1.q.a $$2$$ $$1.739$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-13})$$ None $$-1$$ $$0$$ $$0$$ $$1$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{7}+q^{8}+q^{9}+\cdots$$
3484.1.q.b $$2$$ $$1.739$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-13})$$ None $$1$$ $$0$$ $$0$$ $$-1$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{7}-q^{8}+q^{9}+\cdots$$
3484.1.bj.a $$4$$ $$1.739$$ $$\Q(\zeta_{12})$$ None None $$4$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+\zeta_{12}^{5}q^{3}+q^{4}+\zeta_{12}^{5}q^{6}+\cdots$$
3484.1.bm.a $$4$$ $$1.739$$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{4}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{2}q^{4}+\cdots$$
3484.1.co.a $$10$$ $$1.739$$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-13})$$ None $$-1$$ $$0$$ $$0$$ $$-2$$ $$q-\zeta_{22}^{3}q^{2}+\zeta_{22}^{6}q^{4}+(-\zeta_{22}-\zeta_{22}^{5}+\cdots)q^{7}+\cdots$$
3484.1.co.b $$10$$ $$1.739$$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-13})$$ None $$1$$ $$0$$ $$0$$ $$2$$ $$q+\zeta_{22}^{3}q^{2}+\zeta_{22}^{6}q^{4}+(\zeta_{22}+\zeta_{22}^{5}+\cdots)q^{7}+\cdots$$
3484.1.dz.a $$20$$ $$1.739$$ $$\Q(\zeta_{33})$$ $$\Q(\sqrt{-13})$$ None $$-1$$ $$0$$ $$0$$ $$1$$ $$q+\zeta_{66}^{19}q^{2}-\zeta_{66}^{5}q^{4}+(\zeta_{66}^{21}-\zeta_{66}^{28}+\cdots)q^{7}+\cdots$$
3484.1.dz.b $$20$$ $$1.739$$ $$\Q(\zeta_{33})$$ $$\Q(\sqrt{-13})$$ None $$1$$ $$0$$ $$0$$ $$-1$$ $$q-\zeta_{66}^{19}q^{2}-\zeta_{66}^{5}q^{4}+(-\zeta_{66}^{21}+\cdots)q^{7}+\cdots$$
3484.2.a.a $$1$$ $$27.820$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$4$$ $$-$$ $$q+2q^{5}+4q^{7}-3q^{9}-2q^{11}-q^{13}+\cdots$$
3484.2.a.b $$5$$ $$27.820$$ 5.5.2444177.1 None None $$0$$ $$0$$ $$-3$$ $$-5$$ $$-$$ $$q+(-1+\beta _{3})q^{5}+(-1-\beta _{1}+\beta _{2})q^{7}+\cdots$$
3484.2.a.c $$10$$ $$27.820$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$0$$ $$0$$ $$4$$ $$4$$ $$-$$ $$q-\beta _{5}q^{3}-\beta _{6}q^{5}+\beta _{1}q^{7}+(3-\beta _{4}+\cdots)q^{9}+\cdots$$
3484.2.a.d $$16$$ $$27.820$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$-6$$ $$-5$$ $$-1$$ $$+$$ $$q-\beta _{1}q^{3}+\beta _{13}q^{5}-\beta _{6}q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots$$
3484.2.a.e $$17$$ $$27.820$$ $$\mathbb{Q}[x]/(x^{17} - \cdots)$$ None None $$0$$ $$0$$ $$-7$$ $$-3$$ $$+$$ $$q+\beta _{1}q^{3}-\beta _{9}q^{5}-\beta _{6}q^{7}+(1+\beta _{2}+\cdots)q^{9}+\cdots$$
3484.2.a.f $$17$$ $$27.820$$ $$\mathbb{Q}[x]/(x^{17} - \cdots)$$ None None $$0$$ $$6$$ $$5$$ $$5$$ $$-$$ $$q+\beta _{1}q^{3}+\beta _{14}q^{5}+\beta _{15}q^{7}+(1+\beta _{2}+\cdots)q^{9}+\cdots$$
3484.2.f.a $$78$$ $$27.820$$ None None $$0$$ $$0$$ $$0$$ $$0$$