## Results (1-50 of 121 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
136.1.e.a $$1$$ $$0.068$$ $$\Q$$ $$\Q(\sqrt{-2})$$, $$\Q(\sqrt{-34})$$ $$\Q(\sqrt{17})$$ $$-1$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{17}+\cdots$$
136.1.j.a $$2$$ $$0.068$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-iq^{2}+(-1-i)q^{3}-q^{4}+(-1+i+\cdots)q^{6}+\cdots$$
136.1.p.a $$4$$ $$0.068$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{3}q^{2}+(\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}-\zeta_{8}^{2}q^{4}+\cdots$$
136.2.a.a $$1$$ $$1.086$$ $$\Q$$ None None $$0$$ $$-2$$ $$-2$$ $$-2$$ $$+$$ $$q-2q^{3}-2q^{5}-2q^{7}+q^{9}-6q^{11}+\cdots$$
136.2.a.b $$1$$ $$1.086$$ $$\Q$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$-$$ $$q+2q^{3}+q^{9}+2q^{11}-6q^{13}-q^{17}+\cdots$$
136.2.a.c $$2$$ $$1.086$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$-2$$ $$4$$ $$2$$ $$-$$ $$q+(-1-\beta )q^{3}+2q^{5}+(1+\beta )q^{7}+(3+\cdots)q^{9}+\cdots$$
136.2.b.a $$2$$ $$1.086$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}+iq^{7}-q^{9}+iq^{11}-2q^{13}+\cdots$$
136.2.b.b $$2$$ $$1.086$$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{5}+\beta q^{7}+3q^{9}-2\beta q^{11}+2q^{13}+\cdots$$
136.2.c.a $$8$$ $$1.086$$ 8.0.1649659456.5 None None $$-1$$ $$0$$ $$0$$ $$8$$ $$q-\beta _{1}q^{2}-\beta _{5}q^{3}+(\beta _{1}+\beta _{3}+\beta _{4})q^{4}+\cdots$$
136.2.c.b $$8$$ $$1.086$$ 8.0.4469724736.1 None None $$-1$$ $$0$$ $$0$$ $$-12$$ $$q-\beta _{1}q^{2}+(\beta _{1}+\beta _{6})q^{3}+\beta _{2}q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$$
136.2.h.a $$16$$ $$1.086$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{5}q^{2}+\beta _{12}q^{3}-\beta _{3}q^{4}-\beta _{6}q^{5}+\cdots$$
136.2.i.a $$8$$ $$1.086$$ 8.0.342102016.5 None None $$0$$ $$0$$ $$0$$ $$4$$ $$q-\beta _{5}q^{2}+(-\beta _{2}+\beta _{6})q^{3}+\beta _{7}q^{4}+\cdots$$
136.2.i.b $$24$$ $$1.086$$ None None $$0$$ $$0$$ $$0$$ $$-8$$
136.2.k.a $$2$$ $$1.086$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$-6$$ $$-6$$ $$q+(-1-i)q^{3}+(-3-3i)q^{5}+(-3+\cdots)q^{7}+\cdots$$
136.2.k.b $$2$$ $$1.086$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$4$$ $$4$$ $$q+(-1-i)q^{3}+(2+2i)q^{5}+(2-2i)q^{7}+\cdots$$
136.2.k.c $$2$$ $$1.086$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$2$$ $$2$$ $$-2$$ $$q+(1+i)q^{3}+(1+i)q^{5}+(-1+i)q^{7}+\cdots$$
136.2.k.d $$2$$ $$1.086$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$4$$ $$-2$$ $$4$$ $$q+(2+2i)q^{3}+(-1-i)q^{5}+(2-2i)q^{7}+\cdots$$
136.2.n.a $$4$$ $$1.086$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$-4$$ $$4$$ $$-4$$ $$q+(-1-\zeta_{8})q^{3}+(1-\zeta_{8})q^{5}+(-1+\cdots)q^{7}+\cdots$$
136.2.n.b $$4$$ $$1.086$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$4$$ $$-8$$ $$4$$ $$q+(1+\zeta_{8}-\zeta_{8}^{2}+\zeta_{8}^{3})q^{3}+(-2+2\zeta_{8}+\cdots)q^{5}+\cdots$$
136.2.n.c $$12$$ $$1.086$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+\beta _{2}q^{3}+\beta _{8}q^{5}+(1-\beta _{3}-\beta _{6}-\beta _{8}+\cdots)q^{7}+\cdots$$
136.2.o.a $$64$$ $$1.086$$ None None $$-4$$ $$0$$ $$0$$ $$-8$$
136.2.s.a $$8$$ $$1.086$$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-8$$ $$0$$ $$0$$ $$q+(-\zeta_{16}+\zeta_{16}^{5})q^{2}+(-1-\zeta_{16}+\cdots)q^{3}+\cdots$$
136.2.s.b $$8$$ $$1.086$$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$8$$ $$0$$ $$0$$ $$q+(\zeta_{16}-\zeta_{16}^{5})q^{2}+(1+\zeta_{16}-\zeta_{16}^{2}+\cdots)q^{3}+\cdots$$
136.2.s.c $$112$$ $$1.086$$ None None $$-8$$ $$-16$$ $$0$$ $$0$$
136.3.e.a $$2$$ $$3.706$$ $$\Q(\sqrt{17})$$ $$\Q(\sqrt{-34})$$ None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-2q^{2}+4q^{4}+\beta q^{5}-\beta q^{7}-8q^{8}+\cdots$$
136.3.e.b $$2$$ $$3.706$$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-2})$$ None $$4$$ $$0$$ $$0$$ $$0$$ $$q+2q^{2}+\beta q^{3}+4q^{4}+2\beta q^{6}+8q^{8}+\cdots$$
136.3.e.c $$2$$ $$3.706$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-34})$$ None $$4$$ $$0$$ $$0$$ $$0$$ $$q+2q^{2}+4q^{4}+\beta q^{5}-2\beta q^{7}+8q^{8}+\cdots$$
136.3.e.d $$28$$ $$3.706$$ None None $$-6$$ $$0$$ $$0$$ $$0$$
136.3.f.a $$32$$ $$3.706$$ None None $$2$$ $$0$$ $$0$$ $$0$$
136.3.j.a $$4$$ $$3.706$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$4$$ $$0$$ $$0$$ $$q+2\zeta_{8}^{2}q^{2}+(1+\zeta_{8}+\zeta_{8}^{2})q^{3}-4q^{4}+\cdots$$
136.3.j.b $$64$$ $$3.706$$ None None $$0$$ $$-8$$ $$0$$ $$0$$
136.3.p.a $$4$$ $$3.706$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-8$$ $$0$$ $$0$$ $$q-2\zeta_{8}^{3}q^{2}+(-2-2\zeta_{8}-3\zeta_{8}^{2}+3\zeta_{8}^{3})q^{3}+\cdots$$
136.3.p.b $$4$$ $$3.706$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$8$$ $$0$$ $$0$$ $$q-2\zeta_{8}^{3}q^{2}+(2+2\zeta_{8}+\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}+\cdots$$
136.3.p.c $$128$$ $$3.706$$ None None $$-4$$ $$-8$$ $$0$$ $$0$$
136.3.q.a $$272$$ $$3.706$$ None None $$-8$$ $$0$$ $$0$$ $$-16$$
136.3.t.a $$32$$ $$3.706$$ None None $$0$$ $$-8$$ $$0$$ $$8$$
136.3.t.b $$40$$ $$3.706$$ None None $$0$$ $$8$$ $$0$$ $$-8$$
136.4.a.a $$2$$ $$8.024$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$4$$ $$-12$$ $$-36$$ $$-$$ $$q+(2+\beta )q^{3}+(-6-2\beta )q^{5}+(-18+\cdots)q^{7}+\cdots$$
136.4.a.b $$3$$ $$8.024$$ 3.3.8396.1 None None $$0$$ $$-4$$ $$-8$$ $$-2$$ $$-$$ $$q+(-1+\beta _{2})q^{3}+(-3+\beta _{1}-2\beta _{2})q^{5}+\cdots$$
136.4.a.c $$3$$ $$8.024$$ 3.3.1556.1 None None $$0$$ $$8$$ $$2$$ $$12$$ $$+$$ $$q+(3-\beta _{2})q^{3}+(1-\beta _{1})q^{5}+(4-\beta _{1}+\cdots)q^{7}+\cdots$$
136.4.a.d $$4$$ $$8.024$$ 4.4.550476.1 None None $$0$$ $$-2$$ $$8$$ $$-22$$ $$+$$ $$q-\beta _{1}q^{3}+(1-\beta _{1}-\beta _{2}-2\beta _{3})q^{5}+\cdots$$
136.4.b.a $$6$$ $$8.024$$ $$\mathbb{Q}[x]/(x^{6} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{3}-\beta _{4}q^{5}+(-\beta _{1}+\beta _{2}+\beta _{4}+\cdots)q^{7}+\cdots$$
136.4.b.b $$8$$ $$8.024$$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{3}-\beta _{4}q^{5}+(-\beta _{1}-\beta _{2}-\beta _{4}+\cdots)q^{7}+\cdots$$
136.4.c.a $$24$$ $$8.024$$ None None $$1$$ $$0$$ $$0$$ $$-56$$
136.4.c.b $$24$$ $$8.024$$ None None $$1$$ $$0$$ $$0$$ $$84$$
136.4.h.a $$52$$ $$8.024$$ None None $$-2$$ $$0$$ $$0$$ $$0$$
136.4.i.a $$104$$ $$8.024$$ None None $$0$$ $$0$$ $$0$$ $$-4$$
136.4.k.a $$14$$ $$8.024$$ $$\mathbb{Q}[x]/(x^{14} + \cdots)$$ None None $$0$$ $$-4$$ $$8$$ $$-10$$ $$q+\beta _{1}q^{3}+(1-\beta _{5}+\beta _{7})q^{5}+(-1-\beta _{5}+\cdots)q^{7}+\cdots$$
136.4.k.b $$14$$ $$8.024$$ $$\mathbb{Q}[x]/(x^{14} + \cdots)$$ None None $$0$$ $$6$$ $$6$$ $$10$$ $$q-\beta _{3}q^{3}-\beta _{7}q^{5}+(1-\beta _{5}-\beta _{8})q^{7}+\cdots$$
136.4.n.a $$24$$ $$8.024$$ None None $$0$$ $$0$$ $$-28$$ $$0$$