## Results (displaying matches 1-50 of 98) Next

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
148.1.f.a $$2$$ $$0.074$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+iq^{3}-q^{7}-iq^{11}+(-1-i)q^{17}+\cdots$$
148.1.i.a $$2$$ $$0.074$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-1})$$ None $$-1$$ $$0$$ $$1$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+q^{8}+\zeta_{6}^{2}q^{9}+\cdots$$
148.1.p.a $$6$$ $$0.074$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-3$$ $$0$$ $$q-\zeta_{18}q^{2}+\zeta_{18}^{2}q^{4}+(\zeta_{18}^{4}+\zeta_{18}^{6}+\cdots)q^{5}+\cdots$$
148.2.a.a $$1$$ $$1.182$$ $$\Q$$ None None $$0$$ $$-1$$ $$-4$$ $$-3$$ $$+$$ $$q-q^{3}-4q^{5}-3q^{7}-2q^{9}+5q^{11}+\cdots$$
148.2.a.b $$2$$ $$1.182$$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-1$$ $$4$$ $$1$$ $$-$$ $$q-\beta q^{3}+2q^{5}+\beta q^{7}+(1+\beta )q^{9}+\beta q^{11}+\cdots$$
148.2.d.a $$2$$ $$1.182$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$2$$ $$0$$ $$2$$ $$q+q^{3}+\zeta_{6}q^{5}+q^{7}-2q^{9}+3q^{11}+\cdots$$
148.2.e.a $$6$$ $$1.182$$ 6.0.27870912.1 None None $$0$$ $$-1$$ $$3$$ $$-1$$ $$q-\beta _{1}q^{3}+\beta _{4}q^{5}+(-\beta _{1}+\beta _{3}-\beta _{5})q^{7}+\cdots$$
148.2.g.a $$2$$ $$1.182$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$6$$ $$0$$ $$q+(1+i)q^{2}+2iq^{4}+(3-3i)q^{5}+(-2+\cdots)q^{8}+\cdots$$
148.2.g.b $$4$$ $$1.182$$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{12}+\zeta_{12}^{2})q^{2}+(-\zeta_{12}+\zeta_{12}^{2}+\cdots)q^{3}+\cdots$$
148.2.g.c $$28$$ $$1.182$$ None None $$0$$ $$0$$ $$-8$$ $$0$$
148.2.h.a $$2$$ $$1.182$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$3$$ $$-1$$ $$q-\zeta_{6}q^{3}+(2-\zeta_{6})q^{5}-\zeta_{6}q^{7}+(2-2\zeta_{6})q^{9}+\cdots$$
148.2.h.b $$2$$ $$1.182$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$2$$ $$-3$$ $$2$$ $$q+2\zeta_{6}q^{3}+(-2+\zeta_{6})q^{5}+2\zeta_{6}q^{7}+\cdots$$
148.2.k.a $$24$$ $$1.182$$ None None $$0$$ $$3$$ $$-3$$ $$-9$$
148.2.l.a $$4$$ $$1.182$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{12}-\zeta_{12}^{2}+\zeta_{12}^{3})q^{2}+2\zeta_{12}q^{4}+\cdots$$
148.2.l.b $$64$$ $$1.182$$ None None $$-4$$ $$0$$ $$-4$$ $$0$$
148.2.n.a $$6$$ $$1.182$$ $$\Q(\zeta_{18})$$ None None $$0$$ $$9$$ $$0$$ $$3$$ $$q+(1-\zeta_{18}^{2}+\zeta_{18}^{3}+\zeta_{18}^{4}+2\zeta_{18}^{5})q^{3}+\cdots$$
148.2.n.b $$12$$ $$1.182$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$-12$$ $$0$$ $$6$$ $$q+(-1-\beta _{9})q^{3}+(-\beta _{5}-\beta _{8})q^{5}+(-\beta _{2}+\cdots)q^{7}+\cdots$$
148.2.q.a $$12$$ $$1.182$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-6$$ $$0$$ $$q+(\zeta_{36}^{2}+\zeta_{36}^{5}-\zeta_{36}^{8})q^{2}+2\zeta_{36}q^{4}+\cdots$$
148.2.q.b $$192$$ $$1.182$$ None None $$-12$$ $$0$$ $$-24$$ $$0$$
148.3.b.a $$1$$ $$4.033$$ $$\Q$$ $$\Q(\sqrt{-37})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-2q^{2}+4q^{4}-8q^{8}+9q^{9}+2^{4}q^{16}+\cdots$$
148.3.b.b $$1$$ $$4.033$$ $$\Q$$ $$\Q(\sqrt{-37})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+2q^{2}+4q^{4}+8q^{8}+9q^{9}+2^{4}q^{16}+\cdots$$
148.3.b.c $$2$$ $$4.033$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-4q^{4}-4iq^{5}-4iq^{8}+9q^{9}+\cdots$$
148.3.b.d $$32$$ $$4.033$$ None None $$0$$ $$0$$ $$0$$ $$0$$
148.3.c.a $$36$$ $$4.033$$ None None $$0$$ $$0$$ $$0$$ $$0$$
148.3.f.a $$14$$ $$4.033$$ $$\mathbb{Q}[x]/(x^{14} + \cdots)$$ None None $$0$$ $$0$$ $$12$$ $$0$$ $$q+\beta _{1}q^{3}+(1-\beta _{4}-\beta _{8})q^{5}-\beta _{5}q^{7}+\cdots$$
148.3.i.a $$72$$ $$4.033$$ None None $$0$$ $$0$$ $$0$$ $$0$$
148.3.j.a $$4$$ $$4.033$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-18$$ $$0$$ $$q+\zeta_{12}q^{2}+4\zeta_{12}^{2}q^{4}+(-6-2\zeta_{12}+\cdots)q^{5}+\cdots$$
148.3.j.b $$68$$ $$4.033$$ None None $$-6$$ $$0$$ $$18$$ $$0$$
148.3.m.a $$28$$ $$4.033$$ None None $$0$$ $$0$$ $$-6$$ $$0$$
148.3.o.a $$12$$ $$4.033$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$18$$ $$0$$ $$q+\zeta_{36}q^{2}+4\zeta_{36}^{2}q^{4}+(2\zeta_{36}-2\zeta_{36}^{3}+\cdots)q^{5}+\cdots$$
148.3.o.b $$204$$ $$4.033$$ None None $$-3$$ $$0$$ $$-36$$ $$0$$
148.3.p.a $$216$$ $$4.033$$ None None $$-9$$ $$0$$ $$-18$$ $$0$$
148.3.r.a $$72$$ $$4.033$$ None None $$0$$ $$0$$ $$-6$$ $$0$$
148.4.a.a $$4$$ $$8.732$$ 4.4.1264493.1 None None $$0$$ $$-1$$ $$-19$$ $$-6$$ $$-$$ $$q-\beta _{2}q^{3}+(-5-\beta _{1}+2\beta _{2})q^{5}+(-2+\cdots)q^{7}+\cdots$$
148.4.a.b $$5$$ $$8.732$$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None None $$0$$ $$-1$$ $$21$$ $$22$$ $$+$$ $$q-\beta _{1}q^{3}+(4-\beta _{1}+\beta _{3})q^{5}+(5-2\beta _{1}+\cdots)q^{7}+\cdots$$
148.4.d.a $$2$$ $$8.732$$ $$\Q(\sqrt{-7})$$ None None $$0$$ $$-10$$ $$0$$ $$-18$$ $$q-5q^{3}-\beta q^{5}-9q^{7}-2q^{9}+57q^{11}+\cdots$$
148.4.d.b $$8$$ $$8.732$$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$q-\beta _{2}q^{3}-\beta _{5}q^{5}+(\beta _{2}-\beta _{3}+\beta _{4})q^{7}+\cdots$$
148.4.e.a $$18$$ $$8.732$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$0$$ $$8$$ $$13$$ $$8$$ $$q+(\beta _{2}+\beta _{4})q^{3}+(\beta _{4}-\beta _{7})q^{5}+(-\beta _{2}+\cdots)q^{7}+\cdots$$
148.4.g.a $$2$$ $$8.732$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$-4$$ $$0$$ $$-18$$ $$0$$ $$q+(-2-2i)q^{2}+8iq^{4}+(-9+9i)q^{5}+\cdots$$
148.4.g.b $$108$$ $$8.732$$ None None $$0$$ $$0$$ $$12$$ $$0$$
148.4.h.a $$20$$ $$8.732$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None None $$0$$ $$4$$ $$-18$$ $$-8$$ $$q+\beta _{8}q^{3}+(\beta _{3}+\beta _{7})q^{5}+(-1+\beta _{6}+\cdots)q^{7}+\cdots$$
148.4.k.a $$54$$ $$8.732$$ None None $$0$$ $$-6$$ $$-15$$ $$48$$
148.4.l.a $$4$$ $$8.732$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$4$$ $$0$$ $$-48$$ $$0$$ $$q+(2\zeta_{12}+2\zeta_{12}^{2}-2\zeta_{12}^{3})q^{2}+8\zeta_{12}q^{4}+\cdots$$
148.4.l.b $$216$$ $$8.732$$ None None $$-6$$ $$0$$ $$36$$ $$0$$
148.4.n.a $$60$$ $$8.732$$ None None $$0$$ $$6$$ $$18$$ $$-48$$
148.4.q.a $$12$$ $$8.732$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$66$$ $$0$$ $$q+(-2\zeta_{36}^{2}-2\zeta_{36}^{5}+2\zeta_{36}^{8})q^{2}+\cdots$$
148.4.q.b $$648$$ $$8.732$$ None None $$-12$$ $$0$$ $$-84$$ $$0$$
148.5.b.a $$1$$ $$15.299$$ $$\Q$$ $$\Q(\sqrt{-37})$$ None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-4q^{2}+2^{4}q^{4}-2^{6}q^{8}+3^{4}q^{9}+2^{8}q^{16}+\cdots$$
148.5.b.b $$1$$ $$15.299$$ $$\Q$$ $$\Q(\sqrt{-37})$$ None $$4$$ $$0$$ $$0$$ $$0$$ $$q+4q^{2}+2^{4}q^{4}+2^{6}q^{8}+3^{4}q^{9}+2^{8}q^{16}+\cdots$$
148.5.b.c $$72$$ $$15.299$$ None None $$0$$ $$0$$ $$0$$ $$0$$
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