## Results (displaying matches 1-50 of 178) Next

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
65.2.a.a $$1$$ $$0.519$$ $$\Q$$ None $$-1$$ $$-2$$ $$-1$$ $$-4$$ $$+$$ $$q-q^{2}-2q^{3}-q^{4}-q^{5}+2q^{6}-4q^{7}+\cdots$$
65.2.a.b $$2$$ $$0.519$$ $$\Q(\sqrt{2})$$ None $$-2$$ $$0$$ $$2$$ $$4$$ $$-$$ $$q+(-1+\beta )q^{2}+\beta q^{3}+(1-2\beta )q^{4}+\cdots$$
65.2.a.c $$2$$ $$0.519$$ $$\Q(\sqrt{3})$$ None $$0$$ $$2$$ $$-2$$ $$4$$ $$-$$ $$q+\beta q^{2}+(1-\beta )q^{3}+q^{4}-q^{5}+(-3+\cdots)q^{6}+\cdots$$
65.2.b.a $$6$$ $$0.519$$ 6.0.350464.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{3}-\beta _{5})q^{2}+(-\beta _{3}-\beta _{4})q^{3}+(-2+\cdots)q^{4}+\cdots$$
65.2.c.a $$6$$ $$0.519$$ 6.0.5089536.1 None $$0$$ $$-4$$ $$0$$ $$0$$ $$q-\beta _{5}q^{2}+(-1-\beta _{1})q^{3}+(-2+\beta _{3}+\cdots)q^{4}+\cdots$$
65.2.d.a $$2$$ $$0.519$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$0$$ $$-2$$ $$0$$ $$q-q^{2}+iq^{3}-q^{4}+(-1+i)q^{5}-iq^{6}+\cdots$$
65.2.d.b $$2$$ $$0.519$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$2$$ $$0$$ $$q+q^{2}+iq^{3}-q^{4}+(1-i)q^{5}+iq^{6}+\cdots$$
65.2.e.a $$4$$ $$0.519$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None $$-1$$ $$0$$ $$4$$ $$-4$$ $$q-\beta _{1}q^{2}+(-1+2\beta _{1}-\beta _{3})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots$$
65.2.e.b $$4$$ $$0.519$$ $$\Q(\sqrt{-3}, \sqrt{13})$$ None $$1$$ $$-2$$ $$-4$$ $$2$$ $$q+\beta _{1}q^{2}+(-1-\beta _{2})q^{3}+(-1+\beta _{1}+\cdots)q^{4}+\cdots$$
65.2.f.a $$2$$ $$0.519$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$2$$ $$-4$$ $$-4$$ $$q+iq^{2}+(1-i)q^{3}+q^{4}+(-2-i)q^{5}+\cdots$$
65.2.f.b $$8$$ $$0.519$$ 8.0.619810816.2 None $$0$$ $$-6$$ $$-2$$ $$0$$ $$q-\beta _{6}q^{2}+(-1+\beta _{2}+\beta _{4}-\beta _{5})q^{3}+\cdots$$
65.2.k.a $$2$$ $$0.519$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$2$$ $$-2$$ $$0$$ $$q+q^{2}+(1+i)q^{3}-q^{4}+(-1-2i)q^{5}+\cdots$$
65.2.k.b $$8$$ $$0.519$$ 8.0.619810816.2 None $$-4$$ $$-6$$ $$2$$ $$0$$ $$q+\beta _{5}q^{2}+(-1+\beta _{2}+\beta _{4}-\beta _{5})q^{3}+\cdots$$
65.2.l.a $$8$$ $$0.519$$ 8.0.49787136.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}+\beta _{5})q^{2}+(\beta _{3}+\beta _{5})q^{3}+(\beta _{2}+\beta _{4}+\cdots)q^{4}+\cdots$$
65.2.m.a $$8$$ $$0.519$$ 8.0.22581504.2 None $$0$$ $$2$$ $$0$$ $$-6$$ $$q+(-1+\beta _{1}+\beta _{2}+\beta _{4}-\beta _{5})q^{2}+(\beta _{2}+\cdots)q^{3}+\cdots$$
65.2.n.a $$12$$ $$0.519$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$0$$ $$0$$ $$-6$$ $$0$$ $$q-\beta _{4}q^{2}+(\beta _{4}-\beta _{11})q^{3}+(-\beta _{2}-\beta _{6}+\cdots)q^{4}+\cdots$$
65.2.o.a $$20$$ $$0.519$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None $$-4$$ $$-2$$ $$-6$$ $$-6$$ $$q+(-\beta _{3}+\beta _{4})q^{2}+(\beta _{2}+\beta _{4}+\beta _{8}-\beta _{12}+\cdots)q^{3}+\cdots$$
65.2.t.a $$20$$ $$0.519$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None $$-6$$ $$-2$$ $$0$$ $$-2$$ $$q+\beta _{1}q^{2}+(-\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\beta _{6}+\cdots)q^{3}+\cdots$$
65.3.g.a $$24$$ $$1.771$$ None $$0$$ $$0$$ $$-4$$ $$0$$
65.3.h.a $$24$$ $$1.771$$ None $$0$$ $$-4$$ $$0$$ $$0$$
65.3.i.a $$24$$ $$1.771$$ None $$0$$ $$-4$$ $$4$$ $$-4$$
65.3.j.a $$16$$ $$1.771$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$20$$ $$q-\beta _{2}q^{2}+\beta _{6}q^{3}+(\beta _{1}-\beta _{2}+\beta _{8}+\beta _{12}+\cdots)q^{4}+\cdots$$
65.3.p.a $$40$$ $$1.771$$ None $$0$$ $$0$$ $$0$$ $$-40$$
65.3.q.a $$48$$ $$1.771$$ None $$-6$$ $$-2$$ $$-16$$ $$-2$$
65.3.r.a $$48$$ $$1.771$$ None $$-6$$ $$-2$$ $$0$$ $$-6$$
65.3.s.a $$48$$ $$1.771$$ None $$0$$ $$0$$ $$-2$$ $$0$$
65.4.a.a $$1$$ $$3.835$$ $$\Q$$ None $$5$$ $$2$$ $$-5$$ $$-12$$ $$+$$ $$q+5q^{2}+2q^{3}+17q^{4}-5q^{5}+10q^{6}+\cdots$$
65.4.a.b $$2$$ $$3.835$$ $$\Q(\sqrt{6})$$ None $$-2$$ $$-4$$ $$10$$ $$-20$$ $$-$$ $$q+(-1+\beta )q^{2}+(-2-\beta )q^{3}+(-1+\cdots)q^{4}+\cdots$$
65.4.a.c $$2$$ $$3.835$$ $$\Q(\sqrt{17})$$ None $$1$$ $$0$$ $$-10$$ $$58$$ $$+$$ $$q+\beta q^{2}+(-2+4\beta )q^{3}+(-4+\beta )q^{4}+\cdots$$
65.4.a.d $$2$$ $$3.835$$ $$\Q(\sqrt{3})$$ None $$4$$ $$-10$$ $$-10$$ $$-36$$ $$-$$ $$q+(2+\beta )q^{2}+(-5-3\beta )q^{3}+(-1+4\beta )q^{4}+\cdots$$
65.4.a.e $$5$$ $$3.835$$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None $$0$$ $$8$$ $$25$$ $$38$$ $$+$$ $$q-\beta _{1}q^{2}+(2+\beta _{1}+\beta _{3})q^{3}+(7-\beta _{2}+\cdots)q^{4}+\cdots$$
65.4.b.a $$2$$ $$3.835$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+3iq^{2}-4iq^{3}-q^{4}+(2-11i)q^{5}+\cdots$$
65.4.b.b $$16$$ $$3.835$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$-20$$ $$0$$ $$q+\beta _{2}q^{2}+\beta _{4}q^{3}+(-4+\beta _{1})q^{4}+(-1+\cdots)q^{5}+\cdots$$
65.4.c.a $$14$$ $$3.835$$ $$\mathbb{Q}[x]/(x^{14} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{4}q^{3}+(-4+\beta _{2})q^{4}-\beta _{7}q^{5}+\cdots$$
65.4.d.a $$2$$ $$3.835$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$0$$ $$10$$ $$48$$ $$q-q^{2}+iq^{3}-7q^{4}+(5-5i)q^{5}-iq^{6}+\cdots$$
65.4.d.b $$2$$ $$3.835$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$-10$$ $$-48$$ $$q+q^{2}+iq^{3}-7q^{4}+(-5+5i)q^{5}+\cdots$$
65.4.d.c $$16$$ $$3.835$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{7}q^{2}-\beta _{6}q^{3}+(6+\beta _{2})q^{4}+(-\beta _{4}+\cdots)q^{5}+\cdots$$
65.4.e.a $$14$$ $$3.835$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None $$-2$$ $$4$$ $$-70$$ $$-7$$ $$q-\beta _{1}q^{2}+(-\beta _{6}+\beta _{11})q^{3}+(-4-\beta _{5}+\cdots)q^{4}+\cdots$$
65.4.e.b $$14$$ $$3.835$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None $$2$$ $$8$$ $$70$$ $$75$$ $$q+(-\beta _{1}+\beta _{2})q^{2}+(1+\beta _{4}-\beta _{6}-\beta _{11}+\cdots)q^{3}+\cdots$$
65.4.f.a $$2$$ $$3.835$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$-10$$ $$20$$ $$-52$$ $$q+iq^{2}+(-5+5i)q^{3}+7q^{4}+(10+\cdots)q^{5}+\cdots$$
65.4.f.b $$36$$ $$3.835$$ None $$0$$ $$6$$ $$-30$$ $$48$$
65.4.k.a $$2$$ $$3.835$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$-10$$ $$10$$ $$0$$ $$q+q^{2}+(-5-5i)q^{3}-7q^{4}+(5+10i)q^{5}+\cdots$$
65.4.k.b $$36$$ $$3.835$$ None $$-2$$ $$6$$ $$-26$$ $$0$$
65.4.l.a $$40$$ $$3.835$$ None $$0$$ $$0$$ $$0$$ $$0$$
65.4.m.a $$28$$ $$3.835$$ None $$0$$ $$-12$$ $$0$$ $$-36$$
65.4.n.a $$36$$ $$3.835$$ None $$0$$ $$0$$ $$10$$ $$0$$
65.4.o.a $$76$$ $$3.835$$ None $$-6$$ $$-2$$ $$10$$ $$-6$$
65.4.t.a $$76$$ $$3.835$$ None $$-6$$ $$-2$$ $$4$$ $$-2$$
65.5.g.a $$52$$ $$6.719$$ None $$0$$ $$0$$ $$58$$ $$0$$
65.5.h.a $$52$$ $$6.719$$ None $$0$$ $$-4$$ $$0$$ $$0$$
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