## Results (1-50 of 132 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
385.1.q.a $$2$$ $$0.192$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-55})$$ None $$-1$$ $$0$$ $$-1$$ $$-2$$ $$q-\zeta_{6}q^{2}-\zeta_{6}q^{5}-q^{7}-q^{8}-\zeta_{6}q^{9}+\cdots$$
385.1.q.b $$2$$ $$0.192$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-55})$$ None $$1$$ $$0$$ $$-1$$ $$2$$ $$q+\zeta_{6}q^{2}-\zeta_{6}q^{5}+q^{7}+q^{8}-\zeta_{6}q^{9}+\cdots$$
385.1.q.c $$4$$ $$0.192$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-55})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(-\zeta_{12}^{3}-\zeta_{12}^{5})q^{2}+(-1-\zeta_{12}^{2}+\cdots)q^{4}+\cdots$$
385.1.y.a $$4$$ $$0.192$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$-3$$ $$1$$ $$1$$ $$q+(-1+\zeta_{10})q^{3}+\zeta_{10}^{2}q^{4}-\zeta_{10}^{4}q^{5}+\cdots$$
385.1.y.b $$4$$ $$0.192$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$3$$ $$-1$$ $$-1$$ $$q+(1-\zeta_{10})q^{3}+\zeta_{10}^{2}q^{4}+\zeta_{10}^{4}q^{5}+\cdots$$
385.2.a.a $$1$$ $$3.074$$ $$\Q$$ None None $$-1$$ $$-2$$ $$1$$ $$1$$ $$+$$ $$q-q^{2}-2q^{3}-q^{4}+q^{5}+2q^{6}+q^{7}+\cdots$$
385.2.a.b $$1$$ $$3.074$$ $$\Q$$ None None $$-1$$ $$0$$ $$1$$ $$-1$$ $$+$$ $$q-q^{2}-q^{4}+q^{5}-q^{7}+3q^{8}-3q^{9}+\cdots$$
385.2.a.c $$2$$ $$3.074$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$2$$ $$-2$$ $$2$$ $$-$$ $$q+\beta q^{2}+(1+\beta )q^{3}+q^{4}-q^{5}+(3+\beta )q^{6}+\cdots$$
385.2.a.d $$2$$ $$3.074$$ $$\Q(\sqrt{2})$$ None None $$2$$ $$0$$ $$-2$$ $$-2$$ $$-$$ $$q+(1+\beta )q^{2}+\beta q^{3}+(1+2\beta )q^{4}-q^{5}+\cdots$$
385.2.a.e $$3$$ $$3.074$$ 3.3.148.1 None None $$-3$$ $$-4$$ $$-3$$ $$3$$ $$+$$ $$q+(-1-\beta _{2})q^{2}+(-1-\beta _{1})q^{3}+(2+\cdots)q^{4}+\cdots$$
385.2.a.f $$3$$ $$3.074$$ 3.3.148.1 None None $$-3$$ $$-2$$ $$-3$$ $$-3$$ $$+$$ $$q+(-1-\beta _{2})q^{2}+(-1+\beta _{1})q^{3}+(2+\cdots)q^{4}+\cdots$$
385.2.a.g $$3$$ $$3.074$$ 3.3.148.1 None None $$1$$ $$0$$ $$3$$ $$3$$ $$-$$ $$q+\beta _{1}q^{2}+\beta _{2}q^{3}+(\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots$$
385.2.a.h $$4$$ $$3.074$$ 4.4.11348.1 None None $$2$$ $$2$$ $$4$$ $$-4$$ $$-$$ $$q+(1+\beta _{2})q^{2}+(1+\beta _{3})q^{3}+(2+\beta _{2}+\cdots)q^{4}+\cdots$$
385.2.b.a $$2$$ $$3.074$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+iq^{2}-2iq^{3}+q^{4}+(1+2i)q^{5}+\cdots$$
385.2.b.b $$2$$ $$3.074$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+iq^{2}-2iq^{3}+q^{4}+(1-2i)q^{5}+\cdots$$
385.2.b.c $$12$$ $$3.074$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$6$$ $$0$$ $$q+\beta _{1}q^{2}+(\beta _{2}-\beta _{10})q^{3}+(-1+\beta _{4}+\cdots)q^{4}+\cdots$$
385.2.b.d $$16$$ $$3.074$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+\beta _{1}q^{2}+(\beta _{7}+\beta _{13})q^{3}+(-2+\beta _{2}+\cdots)q^{4}+\cdots$$
385.2.c.a $$32$$ $$3.074$$ None None $$0$$ $$0$$ $$0$$ $$0$$
385.2.h.a $$4$$ $$3.074$$ $$\Q(\sqrt{5}, \sqrt{-7})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}+\beta _{3})q^{3}-2q^{4}+(\beta _{1}+\beta _{3})q^{5}+\cdots$$
385.2.h.b $$8$$ $$3.074$$ 8.0.$$\cdots$$.19 $$\Q(\sqrt{-55})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{6}q^{2}+(2+\beta _{5})q^{4}+\beta _{1}q^{5}-\beta _{2}q^{7}+\cdots$$
385.2.h.c $$32$$ $$3.074$$ None None $$0$$ $$0$$ $$0$$ $$0$$
385.2.i.a $$8$$ $$3.074$$ 8.0.310217769.2 None None $$3$$ $$3$$ $$-4$$ $$1$$ $$q+(1+\beta _{1}+\beta _{2}-\beta _{5}-\beta _{7})q^{2}+(-\beta _{2}+\cdots)q^{3}+\cdots$$
385.2.i.b $$12$$ $$3.074$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$3$$ $$-1$$ $$6$$ $$-3$$ $$q+(-\beta _{1}+\beta _{5})q^{2}-\beta _{9}q^{3}+(-\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots$$
385.2.i.c $$16$$ $$3.074$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$-3$$ $$-1$$ $$-8$$ $$-1$$ $$q-\beta _{1}q^{2}+(-\beta _{4}+\beta _{7})q^{3}+(-\beta _{8}+\beta _{11}+\cdots)q^{4}+\cdots$$
385.2.i.d $$20$$ $$3.074$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$-3$$ $$3$$ $$10$$ $$-1$$ $$q-\beta _{1}q^{2}+(-\beta _{10}+\beta _{17})q^{3}+(-\beta _{3}+\cdots)q^{4}+\cdots$$
385.2.j.a $$4$$ $$3.074$$ $$\Q(\zeta_{12})$$ None None $$-4$$ $$-6$$ $$-2$$ $$-8$$ $$q+(-1-\zeta_{12}^{3})q^{2}+(-1-\zeta_{12}-\zeta_{12}^{2}+\cdots)q^{3}+\cdots$$
385.2.j.b $$4$$ $$3.074$$ $$\Q(\zeta_{12})$$ None None $$-4$$ $$6$$ $$2$$ $$0$$ $$q+(-1+\zeta_{12}^{3})q^{2}+(1-\zeta_{12}+\zeta_{12}^{2}+\cdots)q^{3}+\cdots$$
385.2.j.c $$32$$ $$3.074$$ None None $$8$$ $$0$$ $$0$$ $$8$$
385.2.j.d $$40$$ $$3.074$$ None None $$0$$ $$0$$ $$0$$ $$0$$
385.2.k.a $$72$$ $$3.074$$ None None $$0$$ $$4$$ $$0$$ $$0$$
385.2.n.a $$4$$ $$3.074$$ $$\Q(\zeta_{10})$$ None None $$1$$ $$-3$$ $$-1$$ $$-1$$ $$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(-\zeta_{10}+\cdots)q^{3}+\cdots$$
385.2.n.b $$4$$ $$3.074$$ $$\Q(\zeta_{10})$$ None None $$5$$ $$3$$ $$1$$ $$1$$ $$q+(1+\zeta_{10}-\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(\zeta_{10}+\cdots)q^{3}+\cdots$$
385.2.n.c $$8$$ $$3.074$$ 8.0.13140625.1 None None $$2$$ $$4$$ $$-2$$ $$-2$$ $$q+(-\beta _{3}+\beta _{5}+\beta _{6})q^{2}+(1-\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots$$
385.2.n.d $$16$$ $$3.074$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$-4$$ $$4$$ $$4$$ $$4$$ $$q+(-1-\beta _{4}+\beta _{7}-\beta _{8}-\beta _{9}-\beta _{10}+\cdots)q^{2}+\cdots$$
385.2.n.e $$28$$ $$3.074$$ None None $$3$$ $$0$$ $$7$$ $$-7$$
385.2.n.f $$36$$ $$3.074$$ None None $$1$$ $$0$$ $$-9$$ $$9$$
385.2.o.a $$16$$ $$3.074$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ $$\Q(\sqrt{-55})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{10}-\beta _{14})q^{2}+(\beta _{1}+2\beta _{5}-\beta _{7}+\cdots)q^{4}+\cdots$$
385.2.o.b $$72$$ $$3.074$$ None None $$0$$ $$0$$ $$0$$ $$0$$
385.2.t.a $$4$$ $$3.074$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+\zeta_{12}q^{2}+(-\zeta_{12}+\zeta_{12}^{3})q^{3}-\zeta_{12}^{2}q^{4}+\cdots$$
385.2.t.b $$36$$ $$3.074$$ None None $$0$$ $$0$$ $$2$$ $$0$$
385.2.t.c $$40$$ $$3.074$$ None None $$0$$ $$0$$ $$0$$ $$0$$
385.2.u.a $$64$$ $$3.074$$ None None $$0$$ $$0$$ $$0$$ $$0$$
385.2.v.a $$8$$ $$3.074$$ 8.0.37515625.1 $$\Q(\sqrt{-35})$$ None $$0$$ $$-5$$ $$-10$$ $$0$$ $$q+(\beta _{2}+\beta _{5}-\beta _{6}+\beta _{7})q^{3}-2\beta _{3}q^{4}+\cdots$$
385.2.v.b $$8$$ $$3.074$$ 8.0.37515625.1 $$\Q(\sqrt{-35})$$ None $$0$$ $$5$$ $$10$$ $$0$$ $$q+(2-\beta _{1}-\beta _{2}+\beta _{3}+\beta _{4}+\beta _{5}-2\beta _{6}+\cdots)q^{3}+\cdots$$
385.2.v.c $$160$$ $$3.074$$ None None $$0$$ $$0$$ $$0$$ $$0$$
385.2.ba.a $$128$$ $$3.074$$ None None $$0$$ $$0$$ $$0$$ $$0$$
385.2.bb.a $$144$$ $$3.074$$ None None $$0$$ $$0$$ $$2$$ $$0$$
385.2.bc.a $$176$$ $$3.074$$ None None $$0$$ $$-4$$ $$-8$$ $$0$$
385.2.bd.a $$80$$ $$3.074$$ None None $$0$$ $$0$$ $$0$$ $$0$$
385.2.bd.b $$80$$ $$3.074$$ None None $$0$$ $$0$$ $$0$$ $$0$$