## Results (1-50 of 365 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
960.1.c.a $$4$$ $$0.479$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{3}q^{3}+\zeta_{8}^{2}q^{5}+(\zeta_{8}+\zeta_{8}^{3})q^{7}+\cdots$$
960.1.u.a $$4$$ $$0.479$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $$q-\zeta_{8}^{3}q^{3}-\zeta_{8}^{3}q^{5}+(-1-\zeta_{8}^{2})q^{7}+\cdots$$
960.1.u.b $$4$$ $$0.479$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q-\zeta_{8}^{3}q^{3}+\zeta_{8}^{3}q^{5}+(1+\zeta_{8}^{2})q^{7}+\cdots$$
960.1.bm.a $$4$$ $$0.479$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{3}-\zeta_{8}^{3}q^{5}+\zeta_{8}^{2}q^{9}+q^{15}+\cdots$$
960.1.cl.a $$16$$ $$0.479$$ $$\Q(\zeta_{32})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{32}^{13}q^{2}+\zeta_{32}q^{3}-\zeta_{32}^{10}q^{4}+\cdots$$
960.2.a.a $$1$$ $$7.666$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$0$$ $$-$$ $$q-q^{3}-q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots$$
960.2.a.b $$1$$ $$7.666$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$0$$ $$+$$ $$q-q^{3}-q^{5}+q^{9}-2q^{13}+q^{15}+6q^{17}+\cdots$$
960.2.a.c $$1$$ $$7.666$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$0$$ $$+$$ $$q-q^{3}-q^{5}+q^{9}+4q^{11}-6q^{13}+\cdots$$
960.2.a.d $$1$$ $$7.666$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$4$$ $$-$$ $$q-q^{3}-q^{5}+4q^{7}+q^{9}+2q^{13}+q^{15}+\cdots$$
960.2.a.e $$1$$ $$7.666$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$-4$$ $$-$$ $$q-q^{3}+q^{5}-4q^{7}+q^{9}-2q^{13}-q^{15}+\cdots$$
960.2.a.f $$1$$ $$7.666$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$0$$ $$+$$ $$q-q^{3}+q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots$$
960.2.a.g $$1$$ $$7.666$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$4$$ $$-$$ $$q-q^{3}+q^{5}+4q^{7}+q^{9}+6q^{13}-q^{15}+\cdots$$
960.2.a.h $$1$$ $$7.666$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$4$$ $$-$$ $$q-q^{3}+q^{5}+4q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots$$
960.2.a.i $$1$$ $$7.666$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$-4$$ $$+$$ $$q+q^{3}-q^{5}-4q^{7}+q^{9}+2q^{13}-q^{15}+\cdots$$
960.2.a.j $$1$$ $$7.666$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$0$$ $$+$$ $$q+q^{3}-q^{5}+q^{9}-4q^{11}-6q^{13}+\cdots$$
960.2.a.k $$1$$ $$7.666$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$0$$ $$-$$ $$q+q^{3}-q^{5}+q^{9}-2q^{13}-q^{15}+6q^{17}+\cdots$$
960.2.a.l $$1$$ $$7.666$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$0$$ $$-$$ $$q+q^{3}-q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots$$
960.2.a.m $$1$$ $$7.666$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$-4$$ $$+$$ $$q+q^{3}+q^{5}-4q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots$$
960.2.a.n $$1$$ $$7.666$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$-4$$ $$-$$ $$q+q^{3}+q^{5}-4q^{7}+q^{9}+6q^{13}+q^{15}+\cdots$$
960.2.a.o $$1$$ $$7.666$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$0$$ $$-$$ $$q+q^{3}+q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots$$
960.2.a.p $$1$$ $$7.666$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$4$$ $$-$$ $$q+q^{3}+q^{5}+4q^{7}+q^{9}-2q^{13}+q^{15}+\cdots$$
960.2.b.a $$4$$ $$7.666$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+\zeta_{8}q^{3}-q^{5}+(\zeta_{8}-\zeta_{8}^{2})q^{7}+(1-\zeta_{8}^{3})q^{9}+\cdots$$
960.2.b.b $$4$$ $$7.666$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q-\zeta_{8}^{2}q^{3}+q^{5}+(-\zeta_{8}+\zeta_{8}^{2})q^{7}+\cdots$$
960.2.b.c $$12$$ $$7.666$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$-12$$ $$0$$ $$q-\beta _{5}q^{3}-q^{5}+(-\beta _{4}+\beta _{5}+\beta _{6})q^{7}+\cdots$$
960.2.b.d $$12$$ $$7.666$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$12$$ $$0$$ $$q-\beta _{4}q^{3}+q^{5}+(-\beta _{4}+\beta _{5}+\beta _{6})q^{7}+\cdots$$
960.2.d.a $$2$$ $$7.666$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$-2$$ $$0$$ $$q-q^{3}+(-1-i)q^{5}+iq^{7}+q^{9}-iq^{11}+\cdots$$
960.2.d.b $$2$$ $$7.666$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$2$$ $$0$$ $$q-q^{3}+(1-i)q^{5}+iq^{7}+q^{9}+iq^{11}+\cdots$$
960.2.d.c $$2$$ $$7.666$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$2$$ $$-2$$ $$0$$ $$q+q^{3}+(-1+i)q^{5}+iq^{7}+q^{9}-iq^{11}+\cdots$$
960.2.d.d $$2$$ $$7.666$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$2$$ $$2$$ $$0$$ $$q+q^{3}+(1+i)q^{5}+iq^{7}+q^{9}+iq^{11}+\cdots$$
960.2.d.e $$8$$ $$7.666$$ 8.0.49787136.1 None None $$0$$ $$-8$$ $$0$$ $$0$$ $$q-q^{3}-\beta _{4}q^{5}+(-\beta _{4}+\beta _{5})q^{7}+q^{9}+\cdots$$
960.2.d.f $$8$$ $$7.666$$ 8.0.49787136.1 None None $$0$$ $$8$$ $$0$$ $$0$$ $$q+q^{3}+\beta _{4}q^{5}+(-\beta _{4}+\beta _{5})q^{7}+q^{9}+\cdots$$
960.2.f.a $$2$$ $$7.666$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-iq^{3}+(-2+i)q^{5}+2iq^{7}-q^{9}+\cdots$$
960.2.f.b $$2$$ $$7.666$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-iq^{3}+(-2-i)q^{5}+2iq^{7}-q^{9}+\cdots$$
960.2.f.c $$2$$ $$7.666$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+iq^{3}+(-1-2i)q^{5}+4iq^{7}-q^{9}+\cdots$$
960.2.f.d $$2$$ $$7.666$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-iq^{3}+(-1-2i)q^{5}+4iq^{7}-q^{9}+\cdots$$
960.2.f.e $$2$$ $$7.666$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-iq^{3}+(-1+2i)q^{5}+4iq^{7}-q^{9}+\cdots$$
960.2.f.f $$2$$ $$7.666$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+iq^{3}+(-1+2i)q^{5}+4iq^{7}-q^{9}+\cdots$$
960.2.f.g $$2$$ $$7.666$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+iq^{3}+(2-i)q^{5}+2iq^{7}-q^{9}-6q^{11}+\cdots$$
960.2.f.h $$2$$ $$7.666$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q-iq^{3}+(2+i)q^{5}+2iq^{7}-q^{9}-2q^{11}+\cdots$$
960.2.f.i $$2$$ $$7.666$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q-iq^{3}+(2-i)q^{5}+2iq^{7}-q^{9}+2q^{11}+\cdots$$
960.2.f.j $$2$$ $$7.666$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+iq^{3}+(2+i)q^{5}+2iq^{7}-q^{9}+6q^{11}+\cdots$$
960.2.f.k $$4$$ $$7.666$$ $$\Q(i, \sqrt{5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}-\beta _{2}q^{5}+2\beta _{1}q^{7}-q^{9}+2\beta _{3}q^{11}+\cdots$$
960.2.h.a $$4$$ $$7.666$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+(-1+\zeta_{8}^{2})q^{3}-\zeta_{8}q^{5}+(2\zeta_{8}+2\zeta_{8}^{2}+\cdots)q^{7}+\cdots$$
960.2.h.b $$4$$ $$7.666$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+(-1-\zeta_{8}^{2}+\zeta_{8}^{3})q^{3}-\zeta_{8}^{2}q^{5}+\cdots$$
960.2.h.c $$4$$ $$7.666$$ $$\Q(i, \sqrt{6})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{3}+\beta _{2}q^{5}+(\beta _{1}+\beta _{3})q^{7}+3\beta _{2}q^{9}+\cdots$$
960.2.h.d $$4$$ $$7.666$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{3}q^{3}-\zeta_{12}q^{5}-2\zeta_{12}^{2}q^{7}+\cdots$$
960.2.h.e $$4$$ $$7.666$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+(1+\zeta_{8}^{2})q^{3}+\zeta_{8}q^{5}+(2\zeta_{8}+2\zeta_{8}^{2}+\cdots)q^{7}+\cdots$$
960.2.h.f $$4$$ $$7.666$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+(1+\zeta_{8}-\zeta_{8}^{2})q^{3}+\zeta_{8}^{2}q^{5}+(-\zeta_{8}+\cdots)q^{7}+\cdots$$
960.2.h.g $$8$$ $$7.666$$ 8.0.342102016.5 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{5}q^{3}-\beta _{1}q^{5}+(\beta _{3}+\beta _{4})q^{7}+\beta _{6}q^{9}+\cdots$$
960.2.k.a $$2$$ $$7.666$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$-8$$ $$q-iq^{3}-iq^{5}-4q^{7}-q^{9}-4iq^{11}+\cdots$$