## Results (1-50 of 113 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1176.1.e.a $$8$$ $$0.587$$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{16}^{4}q^{2}-\zeta_{16}q^{3}-q^{4}+\zeta_{16}^{5}q^{6}+\cdots$$
1176.1.n.a $$1$$ $$0.587$$ $$\Q$$ $$\Q(\sqrt{-6})$$ None $$-1$$ $$-1$$ $$1$$ $$0$$ $$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$$
1176.1.n.b $$1$$ $$0.587$$ $$\Q$$ $$\Q(\sqrt{-6})$$ None $$-1$$ $$1$$ $$-1$$ $$0$$ $$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$$
1176.1.n.c $$1$$ $$0.587$$ $$\Q$$ $$\Q(\sqrt{-6})$$ None $$1$$ $$-1$$ $$1$$ $$0$$ $$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$$
1176.1.n.d $$1$$ $$0.587$$ $$\Q$$ $$\Q(\sqrt{-6})$$ None $$1$$ $$1$$ $$-1$$ $$0$$ $$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$$
1176.1.n.e $$4$$ $$0.587$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}+(\zeta_{8}-\zeta_{8}^{3}+\cdots)q^{5}+\cdots$$
1176.1.s.a $$2$$ $$0.587$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-6})$$ None $$-1$$ $$1$$ $$-1$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}+\cdots$$
1176.1.s.b $$2$$ $$0.587$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-6})$$ None $$1$$ $$-1$$ $$1$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+\cdots$$
1176.1.s.c $$8$$ $$0.587$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{10}q^{2}-\zeta_{24}^{5}q^{3}-\zeta_{24}^{8}q^{4}+\cdots$$
1176.1.be.a $$16$$ $$0.587$$ $$\Q(\zeta_{48})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{48}^{4}q^{2}+\zeta_{48}^{5}q^{3}+\zeta_{48}^{8}q^{4}+\cdots$$
1176.1.bj.a $$6$$ $$0.587$$ $$\Q(\zeta_{14})$$ $$\Q(\sqrt{-6})$$ None $$-1$$ $$-1$$ $$-2$$ $$-1$$ $$q-\zeta_{14}^{3}q^{2}+\zeta_{14}^{2}q^{3}+\zeta_{14}^{6}q^{4}+\cdots$$
1176.1.bj.b $$6$$ $$0.587$$ $$\Q(\zeta_{14})$$ $$\Q(\sqrt{-6})$$ None $$1$$ $$1$$ $$2$$ $$-1$$ $$q+\zeta_{14}^{3}q^{2}-\zeta_{14}^{2}q^{3}+\zeta_{14}^{6}q^{4}+\cdots$$
1176.1.ck.a $$12$$ $$0.587$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-6})$$ None $$-1$$ $$-1$$ $$1$$ $$1$$ $$q+\zeta_{42}^{13}q^{2}+\zeta_{42}^{11}q^{3}-\zeta_{42}^{5}q^{4}+\cdots$$
1176.1.ck.b $$12$$ $$0.587$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-6})$$ None $$1$$ $$1$$ $$-1$$ $$1$$ $$q-\zeta_{42}^{13}q^{2}-\zeta_{42}^{11}q^{3}-\zeta_{42}^{5}q^{4}+\cdots$$
1176.2.a.a $$1$$ $$9.390$$ $$\Q$$ None None $$0$$ $$-1$$ $$-2$$ $$0$$ $$-$$ $$q-q^{3}-2q^{5}+q^{9}+2q^{13}+2q^{15}+\cdots$$
1176.2.a.b $$1$$ $$9.390$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$0$$ $$+$$ $$q-q^{3}+q^{9}-4q^{13}-4q^{17}+4q^{19}+\cdots$$
1176.2.a.c $$1$$ $$9.390$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$0$$ $$-$$ $$q-q^{3}+q^{5}+q^{9}+3q^{11}-4q^{13}+\cdots$$
1176.2.a.d $$1$$ $$9.390$$ $$\Q$$ None None $$0$$ $$-1$$ $$2$$ $$0$$ $$+$$ $$q-q^{3}+2q^{5}+q^{9}-6q^{11}-3q^{13}+\cdots$$
1176.2.a.e $$1$$ $$9.390$$ $$\Q$$ None None $$0$$ $$1$$ $$-2$$ $$0$$ $$+$$ $$q+q^{3}-2q^{5}+q^{9}-6q^{11}+3q^{13}+\cdots$$
1176.2.a.f $$1$$ $$9.390$$ $$\Q$$ None None $$0$$ $$1$$ $$-2$$ $$0$$ $$+$$ $$q+q^{3}-2q^{5}+q^{9}-6q^{13}-2q^{15}+\cdots$$
1176.2.a.g $$1$$ $$9.390$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$0$$ $$-$$ $$q+q^{3}-q^{5}+q^{9}+3q^{11}+4q^{13}+\cdots$$
1176.2.a.h $$1$$ $$9.390$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$0$$ $$-$$ $$q+q^{3}+q^{9}+4q^{13}+4q^{17}-4q^{19}+\cdots$$
1176.2.a.i $$1$$ $$9.390$$ $$\Q$$ None None $$0$$ $$1$$ $$2$$ $$0$$ $$-$$ $$q+q^{3}+2q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots$$
1176.2.a.j $$2$$ $$9.390$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$-4$$ $$0$$ $$+$$ $$q-q^{3}+(-2+\beta )q^{5}+q^{9}+(2-2\beta )q^{11}+\cdots$$
1176.2.a.k $$2$$ $$9.390$$ $$\Q(\sqrt{57})$$ None None $$0$$ $$-2$$ $$-1$$ $$0$$ $$-$$ $$q-q^{3}-\beta q^{5}+q^{9}-\beta q^{11}+(3-\beta )q^{13}+\cdots$$
1176.2.a.l $$2$$ $$9.390$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$4$$ $$0$$ $$-$$ $$q-q^{3}+(2+\beta )q^{5}+q^{9}+(-2+2\beta )q^{11}+\cdots$$
1176.2.a.m $$2$$ $$9.390$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$2$$ $$-4$$ $$0$$ $$+$$ $$q+q^{3}+(-2+\beta )q^{5}+q^{9}+(-2-2\beta )q^{11}+\cdots$$
1176.2.a.n $$2$$ $$9.390$$ $$\Q(\sqrt{57})$$ None None $$0$$ $$2$$ $$1$$ $$0$$ $$-$$ $$q+q^{3}+\beta q^{5}+q^{9}-\beta q^{11}+(-3+\beta )q^{13}+\cdots$$
1176.2.a.o $$2$$ $$9.390$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$2$$ $$4$$ $$0$$ $$-$$ $$q+q^{3}+(2+\beta )q^{5}+q^{9}+(2+2\beta )q^{11}+\cdots$$
1176.2.c.a $$2$$ $$9.390$$ $$\Q(\sqrt{-1})$$ None None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+(-1+i)q^{2}-iq^{3}-2iq^{4}+2iq^{5}+\cdots$$
1176.2.c.b $$4$$ $$9.390$$ $$\Q(\zeta_{12})$$ None None $$2$$ $$0$$ $$0$$ $$0$$ $$q+(1+\zeta_{12}^{3})q^{2}+\zeta_{12}^{2}q^{3}+(\zeta_{12}-2\zeta_{12}^{2}+\cdots)q^{4}+\cdots$$
1176.2.c.c $$8$$ $$9.390$$ 8.0.386672896.3 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}-\beta _{4}q^{3}+\beta _{2}q^{4}+(\beta _{2}-\beta _{4}+\cdots)q^{5}+\cdots$$
1176.2.c.d $$12$$ $$9.390$$ 12.0.$$\cdots$$.1 None None $$2$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{6}q^{2}+\beta _{7}q^{3}-\beta _{11}q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots$$
1176.2.c.e $$16$$ $$9.390$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{6}q^{2}+\beta _{5}q^{3}-\beta _{2}q^{4}-\beta _{4}q^{5}+\cdots$$
1176.2.c.f $$16$$ $$9.390$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{10}q^{2}+\beta _{4}q^{3}-\beta _{3}q^{4}-\beta _{2}q^{5}+\cdots$$
1176.2.c.g $$24$$ $$9.390$$ None None $$4$$ $$0$$ $$0$$ $$0$$
1176.2.k.a $$16$$ $$9.390$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{3}+\beta _{8}q^{5}+\beta _{5}q^{9}-\beta _{6}q^{11}+\cdots$$
1176.2.k.b $$24$$ $$9.390$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1176.2.p.a $$32$$ $$9.390$$ None None $$4$$ $$0$$ $$0$$ $$0$$
1176.2.p.b $$48$$ $$9.390$$ None None $$-8$$ $$0$$ $$0$$ $$0$$
1176.2.q.a $$2$$ $$9.390$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$-2$$ $$0$$ $$q+(-1+\zeta_{6})q^{3}-2\zeta_{6}q^{5}-\zeta_{6}q^{9}+\cdots$$
1176.2.q.b $$2$$ $$9.390$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$-2$$ $$0$$ $$q+(-1+\zeta_{6})q^{3}-2\zeta_{6}q^{5}-\zeta_{6}q^{9}+\cdots$$
1176.2.q.c $$2$$ $$9.390$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$0$$ $$0$$ $$q+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{9}+4q^{13}+(-4+\cdots)q^{17}+\cdots$$
1176.2.q.d $$2$$ $$9.390$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$2$$ $$0$$ $$q+(-1+\zeta_{6})q^{3}+2\zeta_{6}q^{5}-\zeta_{6}q^{9}+\cdots$$
1176.2.q.e $$2$$ $$9.390$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$2$$ $$0$$ $$q+(-1+\zeta_{6})q^{3}+2\zeta_{6}q^{5}-\zeta_{6}q^{9}+\cdots$$
1176.2.q.f $$2$$ $$9.390$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$-2$$ $$0$$ $$q+(1-\zeta_{6})q^{3}-2\zeta_{6}q^{5}-\zeta_{6}q^{9}+6q^{13}+\cdots$$
1176.2.q.g $$2$$ $$9.390$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$-1$$ $$0$$ $$q+(1-\zeta_{6})q^{3}-\zeta_{6}q^{5}-\zeta_{6}q^{9}+(-3+\cdots)q^{11}+\cdots$$
1176.2.q.h $$2$$ $$9.390$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$0$$ $$0$$ $$q+(1-\zeta_{6})q^{3}-\zeta_{6}q^{9}-4q^{13}+(4-4\zeta_{6})q^{17}+\cdots$$
1176.2.q.i $$2$$ $$9.390$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$2$$ $$0$$ $$q+(1-\zeta_{6})q^{3}+2\zeta_{6}q^{5}-\zeta_{6}q^{9}+(-4+\cdots)q^{11}+\cdots$$
1176.2.q.j $$2$$ $$9.390$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$2$$ $$0$$ $$q+(1-\zeta_{6})q^{3}+2\zeta_{6}q^{5}-\zeta_{6}q^{9}+2q^{13}+\cdots$$