## Results (displaying all 45 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
633.1.m.a $$4$$ $$0.316$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$3$$ $$q-\zeta_{10}^{3}q^{3}+\zeta_{10}^{2}q^{4}+(1-\zeta_{10}^{3}+\cdots)q^{7}+\cdots$$
633.1.m.b $$8$$ $$0.316$$ $$\Q(\zeta_{20})$$ None None $$0$$ $$2$$ $$0$$ $$-2$$ $$q+(\zeta_{20}^{5}+\zeta_{20}^{9})q^{2}+\zeta_{20}^{6}q^{3}+(-1+\cdots)q^{4}+\cdots$$
633.1.p.a $$6$$ $$0.316$$ $$\Q(\zeta_{14})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$-2$$ $$q+\zeta_{14}^{2}q^{3}+\zeta_{14}^{4}q^{4}-\zeta_{14}^{5}q^{7}+\cdots$$
633.1.z.a $$24$$ $$0.316$$ $$\Q(\zeta_{35})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$-3$$ $$q-\zeta_{70}^{9}q^{3}-\zeta_{70}^{11}q^{4}+(-\zeta_{70}^{5}+\cdots)q^{7}+\cdots$$
633.2.a.a $$1$$ $$5.055$$ $$\Q$$ None None $$-1$$ $$-1$$ $$-3$$ $$2$$ $$+$$ $$q-q^{2}-q^{3}-q^{4}-3q^{5}+q^{6}+2q^{7}+\cdots$$
633.2.a.b $$4$$ $$5.055$$ 4.4.725.1 None None $$-2$$ $$4$$ $$-3$$ $$-11$$ $$+$$ $$q-\beta _{2}q^{2}+q^{3}+(\beta _{2}-\beta _{3})q^{4}+(-1+\cdots)q^{5}+\cdots$$
633.2.a.c $$8$$ $$5.055$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$-3$$ $$-8$$ $$-2$$ $$-11$$ $$+$$ $$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots$$
633.2.a.d $$8$$ $$5.055$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$4$$ $$-8$$ $$3$$ $$7$$ $$-$$ $$q+(1-\beta _{1})q^{2}-q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots$$
633.2.a.e $$14$$ $$5.055$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$3$$ $$14$$ $$-1$$ $$13$$ $$-$$ $$q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}-\beta _{6}q^{5}+\cdots$$
633.2.d.a $$68$$ $$5.055$$ None None $$0$$ $$0$$ $$0$$ $$0$$
633.2.e.a $$34$$ $$5.055$$ None None $$-3$$ $$17$$ $$-4$$ $$-4$$
633.2.e.b $$36$$ $$5.055$$ None None $$-1$$ $$-18$$ $$4$$ $$1$$
633.2.f.a $$68$$ $$5.055$$ None None $$0$$ $$17$$ $$2$$ $$-8$$
633.2.f.b $$76$$ $$5.055$$ None None $$-4$$ $$-19$$ $$-2$$ $$10$$
633.2.g.a $$2$$ $$5.055$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-3$$ $$0$$ $$9$$ $$q+(-1-\zeta_{6})q^{3}+2\zeta_{6}q^{4}+(3+3\zeta_{6})q^{7}+\cdots$$
633.2.g.b $$136$$ $$5.055$$ None None $$0$$ $$0$$ $$0$$ $$-12$$
633.2.j.a $$102$$ $$5.055$$ None None $$7$$ $$17$$ $$2$$ $$2$$
633.2.j.b $$114$$ $$5.055$$ None None $$3$$ $$-19$$ $$-2$$ $$-10$$
633.2.k.a $$272$$ $$5.055$$ None None $$0$$ $$-10$$ $$0$$ $$-30$$
633.2.n.a $$408$$ $$5.055$$ None None $$0$$ $$-7$$ $$0$$ $$-14$$
633.2.q.a $$136$$ $$5.055$$ None None $$3$$ $$-17$$ $$4$$ $$-1$$
633.2.q.b $$144$$ $$5.055$$ None None $$1$$ $$18$$ $$-4$$ $$-1$$
633.2.r.a $$204$$ $$5.055$$ None None $$-4$$ $$-17$$ $$4$$ $$4$$
633.2.r.b $$216$$ $$5.055$$ None None $$-6$$ $$18$$ $$-4$$ $$-1$$
633.2.u.a $$8$$ $$5.055$$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$3$$ $$0$$ $$16$$ $$q+(\zeta_{15}-\zeta_{15}^{6})q^{3}-2\zeta_{15}^{4}q^{4}+(3+\cdots)q^{7}+\cdots$$
633.2.u.b $$544$$ $$5.055$$ None None $$0$$ $$-5$$ $$0$$ $$-18$$
633.2.v.a $$408$$ $$5.055$$ None None $$-7$$ $$-17$$ $$-2$$ $$8$$
633.2.v.b $$456$$ $$5.055$$ None None $$-3$$ $$19$$ $$2$$ $$-10$$
633.2.y.a $$12$$ $$5.055$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$3$$ $$0$$ $$-9$$ $$q+(2\zeta_{21}+\zeta_{21}^{8})q^{3}+(2\zeta_{21}^{2}+2\zeta_{21}^{9}+\cdots)q^{4}+\cdots$$
633.2.y.b $$816$$ $$5.055$$ None None $$0$$ $$-14$$ $$0$$ $$-16$$
633.2.bb.a $$1632$$ $$5.055$$ None None $$0$$ $$-18$$ $$0$$ $$-26$$
633.2.bc.a $$816$$ $$5.055$$ None None $$4$$ $$17$$ $$-4$$ $$1$$
633.2.bc.b $$864$$ $$5.055$$ None None $$6$$ $$-18$$ $$4$$ $$1$$
633.2.bd.a $$48$$ $$5.055$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-3$$ $$0$$ $$-16$$
633.2.bd.b $$3264$$ $$5.055$$ None None $$0$$ $$-51$$ $$0$$ $$-94$$
633.3.c.a $$70$$ $$17.248$$ None None $$0$$ $$0$$ $$0$$ $$0$$
633.4.a.a $$1$$ $$37.348$$ $$\Q$$ None None $$-4$$ $$-3$$ $$3$$ $$30$$ $$-$$ $$q-4q^{2}-3q^{3}+8q^{4}+3q^{5}+12q^{6}+\cdots$$
633.4.a.b $$21$$ $$37.348$$ None None $$-8$$ $$63$$ $$-25$$ $$-104$$ $$-$$
633.4.a.c $$26$$ $$37.348$$ None None $$-6$$ $$-78$$ $$-18$$ $$-92$$ $$-$$
633.4.a.d $$26$$ $$37.348$$ None None $$6$$ $$-78$$ $$25$$ $$50$$ $$+$$
633.4.a.e $$32$$ $$37.348$$ None None $$8$$ $$96$$ $$15$$ $$120$$ $$+$$
633.6.a.a $$38$$ $$101.523$$ None None $$-16$$ $$342$$ $$-81$$ $$-755$$ $$+$$
633.6.a.b $$43$$ $$101.523$$ None None $$20$$ $$-387$$ $$75$$ $$519$$ $$-$$
633.6.a.c $$44$$ $$101.523$$ None None $$-12$$ $$-396$$ $$-125$$ $$-265$$ $$+$$
633.6.a.d $$49$$ $$101.523$$ None None $$16$$ $$441$$ $$119$$ $$813$$ $$-$$