## Results (1-50 of 98 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
760.1.b.a $$8$$ $$0.379$$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-95})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{16}q^{2}+(\zeta_{16}^{3}+\zeta_{16}^{5})q^{3}+\zeta_{16}^{2}q^{4}+\cdots$$
760.1.bm.a $$2$$ $$0.379$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-10})$$ None $$-1$$ $$0$$ $$-1$$ $$-2$$ $$q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}-q^{7}+q^{8}+\cdots$$
760.1.bm.b $$2$$ $$0.379$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-10})$$ None $$1$$ $$0$$ $$1$$ $$2$$ $$q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}+q^{7}-q^{8}+\cdots$$
760.1.bt.a $$4$$ $$0.379$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+(\zeta_{12}-\zeta_{12}^{4})q^{3}-\zeta_{12}q^{5}-\zeta_{12}^{5}q^{9}+\cdots$$
760.1.bz.a $$6$$ $$0.379$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{18}^{2}q^{2}+\zeta_{18}^{4}q^{4}-\zeta_{18}^{5}q^{5}+\cdots$$
760.1.bz.b $$6$$ $$0.379$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{18}^{2}q^{2}+\zeta_{18}^{4}q^{4}+\zeta_{18}^{5}q^{5}+\cdots$$
760.2.a.a $$1$$ $$6.069$$ $$\Q$$ None None $$0$$ $$-2$$ $$1$$ $$0$$ $$+$$ $$q-2q^{3}+q^{5}+q^{9}-4q^{11}+4q^{13}+\cdots$$
760.2.a.b $$1$$ $$6.069$$ $$\Q$$ None None $$0$$ $$-2$$ $$1$$ $$4$$ $$-$$ $$q-2q^{3}+q^{5}+4q^{7}+q^{9}+4q^{11}+\cdots$$
760.2.a.c $$1$$ $$6.069$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$0$$ $$+$$ $$q+q^{5}-3q^{9}-4q^{11}-6q^{13}-6q^{17}+\cdots$$
760.2.a.d $$1$$ $$6.069$$ $$\Q$$ None None $$0$$ $$2$$ $$1$$ $$4$$ $$-$$ $$q+2q^{3}+q^{5}+4q^{7}+q^{9}-4q^{11}+\cdots$$
760.2.a.e $$1$$ $$6.069$$ $$\Q$$ None None $$0$$ $$3$$ $$1$$ $$-1$$ $$-$$ $$q+3q^{3}+q^{5}-q^{7}+6q^{9}+4q^{11}+\cdots$$
760.2.a.f $$2$$ $$6.069$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$-$$ $$q+\beta q^{3}-q^{5}+2\beta q^{7}-q^{9}+(2+2\beta )q^{11}+\cdots$$
760.2.a.g $$2$$ $$6.069$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$2$$ $$-2$$ $$0$$ $$-$$ $$q+(1+\beta )q^{3}-q^{5}+(1+2\beta )q^{9}+2q^{11}+\cdots$$
760.2.a.h $$3$$ $$6.069$$ 3.3.568.1 None None $$0$$ $$-1$$ $$-3$$ $$-5$$ $$+$$ $$q-\beta _{1}q^{3}-q^{5}+(-2-\beta _{2})q^{7}+(1+2\beta _{1}+\cdots)q^{9}+\cdots$$
760.2.a.i $$3$$ $$6.069$$ 3.3.316.1 None None $$0$$ $$-1$$ $$-3$$ $$-1$$ $$+$$ $$q-\beta _{1}q^{3}-q^{5}+(-1+2\beta _{1}-\beta _{2})q^{7}+\cdots$$
760.2.a.j $$3$$ $$6.069$$ 3.3.229.1 None None $$0$$ $$-1$$ $$3$$ $$-1$$ $$-$$ $$q+\beta _{2}q^{3}+q^{5}+\beta _{1}q^{7}+(1-\beta _{1})q^{9}+\cdots$$
760.2.d.a $$2$$ $$6.069$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+iq^{3}+(-1+i)q^{5}+iq^{7}-q^{9}+\cdots$$
760.2.d.b $$4$$ $$6.069$$ $$\Q(i, \sqrt{5})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+\beta _{1}q^{3}+(-1+\beta _{2})q^{5}+(2\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots$$
760.2.d.c $$4$$ $$6.069$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{8}+\zeta_{8}^{2}+\zeta_{8}^{3})q^{3}+(\zeta_{8}-2\zeta_{8}^{3})q^{5}+\cdots$$
760.2.d.d $$4$$ $$6.069$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+\zeta_{8}^{2}q^{3}+(1+\zeta_{8})q^{5}+(-\zeta_{8}-2\zeta_{8}^{2}+\cdots)q^{7}+\cdots$$
760.2.d.e $$12$$ $$6.069$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$6$$ $$0$$ $$q-\beta _{11}q^{3}-\beta _{1}q^{5}+(\beta _{5}+\beta _{11})q^{7}+\cdots$$
760.2.e.a $$80$$ $$6.069$$ None None $$0$$ $$0$$ $$0$$ $$0$$
760.2.f.a $$28$$ $$6.069$$ None None $$2$$ $$0$$ $$0$$ $$4$$
760.2.f.b $$44$$ $$6.069$$ None None $$2$$ $$0$$ $$0$$ $$4$$
760.2.k.a $$108$$ $$6.069$$ None None $$0$$ $$0$$ $$0$$ $$0$$
760.2.p.a $$4$$ $$6.069$$ $$\Q(\sqrt{-2}, \sqrt{5})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-2q^{4}-\beta _{3}q^{5}+2\beta _{3}q^{7}+\cdots$$
760.2.p.b $$4$$ $$6.069$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}+\beta _{2})q^{2}-2\beta _{2}q^{3}+(-1-\beta _{3})q^{4}+\cdots$$
760.2.p.c $$4$$ $$6.069$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}+\beta _{2})q^{2}-2\beta _{2}q^{3}+(-1-\beta _{3})q^{4}+\cdots$$
760.2.p.d $$8$$ $$6.069$$ 8.0.1499238400.2 None None $$-8$$ $$-8$$ $$0$$ $$0$$ $$q+(-1-\beta _{5})q^{2}-q^{3}+2\beta _{5}q^{4}+(\beta _{5}+\cdots)q^{5}+\cdots$$
760.2.p.e $$8$$ $$6.069$$ 8.0.5473632256.3 None None $$-4$$ $$8$$ $$0$$ $$0$$ $$q+\beta _{6}q^{2}+q^{3}+(-1-\beta _{3}-\beta _{4}-\beta _{6}+\cdots)q^{4}+\cdots$$
760.2.p.f $$8$$ $$6.069$$ 8.0.5473632256.3 None None $$4$$ $$-8$$ $$0$$ $$0$$ $$q-\beta _{6}q^{2}-q^{3}+(-1-\beta _{3}-\beta _{4}-\beta _{6}+\cdots)q^{4}+\cdots$$
760.2.p.g $$8$$ $$6.069$$ 8.0.1499238400.2 None None $$8$$ $$8$$ $$0$$ $$0$$ $$q+(1+\beta _{5})q^{2}+q^{3}+2\beta _{5}q^{4}+(-\beta _{4}+\cdots)q^{5}+\cdots$$
760.2.p.h $$16$$ $$6.069$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ $$\Q(\sqrt{-95})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}-\beta _{7}q^{3}+\beta _{2}q^{4}+\beta _{4}q^{5}+\cdots$$
760.2.p.i $$56$$ $$6.069$$ None None $$0$$ $$0$$ $$0$$ $$0$$
760.2.q.a $$2$$ $$6.069$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$-1$$ $$-4$$ $$q+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{5}-2q^{7}+\cdots$$
760.2.q.b $$2$$ $$6.069$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$2$$ $$-1$$ $$8$$ $$q+(2-2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{5}+4q^{7}+\cdots$$
760.2.q.c $$2$$ $$6.069$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$2$$ $$1$$ $$0$$ $$q+(2-2\zeta_{6})q^{3}+(1-\zeta_{6})q^{5}-\zeta_{6}q^{9}+\cdots$$
760.2.q.d $$8$$ $$6.069$$ 8.0.$$\cdots$$.1 None None $$0$$ $$-1$$ $$-4$$ $$-6$$ $$q-\beta _{1}q^{3}-\beta _{4}q^{5}+(-1+\beta _{3})q^{7}+(-4+\cdots)q^{9}+\cdots$$
760.2.q.e $$8$$ $$6.069$$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None None $$0$$ $$0$$ $$4$$ $$-4$$ $$q+\beta _{1}q^{3}+(1-\beta _{5})q^{5}+(-1-\beta _{4}+2\beta _{7})q^{7}+\cdots$$
760.2.q.f $$8$$ $$6.069$$ 8.0.4601315889.1 None None $$0$$ $$1$$ $$-4$$ $$4$$ $$q-\beta _{7}q^{3}-\beta _{5}q^{5}+(-\beta _{2}-\beta _{3}-\beta _{4}+\cdots)q^{7}+\cdots$$
760.2.q.g $$10$$ $$6.069$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$0$$ $$1$$ $$5$$ $$10$$ $$q+\beta _{1}q^{3}+(1-\beta _{6})q^{5}+(1+\beta _{5})q^{7}+\cdots$$
760.2.t.a $$232$$ $$6.069$$ None None $$0$$ $$0$$ $$0$$ $$-8$$
760.2.v.a $$12$$ $$6.069$$ 12.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$-12$$ $$-4$$ $$q+\beta _{10}q^{3}+(-1-2\beta _{5})q^{5}+(-\beta _{6}+\cdots)q^{7}+\cdots$$
760.2.v.b $$48$$ $$6.069$$ None None $$0$$ $$0$$ $$12$$ $$4$$
760.2.w.a $$2$$ $$6.069$$ $$\Q(\sqrt{-1})$$ None None $$-2$$ $$4$$ $$2$$ $$-6$$ $$q+(-1+i)q^{2}+(2-2i)q^{3}-2iq^{4}+\cdots$$
760.2.w.b $$2$$ $$6.069$$ $$\Q(\sqrt{-1})$$ None None $$2$$ $$4$$ $$-2$$ $$6$$ $$q+(1-i)q^{2}+(2-2i)q^{3}-2iq^{4}+(-1+\cdots)q^{5}+\cdots$$
760.2.w.c $$104$$ $$6.069$$ None None $$0$$ $$-8$$ $$0$$ $$0$$
760.2.w.d $$108$$ $$6.069$$ None None $$0$$ $$0$$ $$0$$ $$0$$
760.2.z.a $$232$$ $$6.069$$ None None $$0$$ $$0$$ $$0$$ $$0$$
760.2.bf.a $$8$$ $$6.069$$ 8.0.207360000.2 $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(2+2\beta _{4})q^{4}-\beta _{6}q^{5}+(-2\beta _{1}+\cdots)q^{7}+\cdots$$