## Results (1-50 of 126 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1776.1.n.a $$1$$ $$0.886$$ $$\Q$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-111})$$ $$\Q(\sqrt{37})$$ $$0$$ $$-1$$ $$0$$ $$2$$ $$q-q^{3}+2q^{7}+q^{9}-2q^{21}-q^{25}+\cdots$$
1776.1.n.b $$2$$ $$0.886$$ $$\Q(\sqrt{-3})$$ None $$\Q(\sqrt{37})$$ $$0$$ $$1$$ $$0$$ $$-2$$ $$q-\zeta_{6}^{2}q^{3}-q^{7}-\zeta_{6}q^{9}+(-\zeta_{6}-\zeta_{6}^{2}+\cdots)q^{11}+\cdots$$
1776.1.n.c $$2$$ $$0.886$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-111})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+q^{3}-\beta q^{5}+q^{9}-\beta q^{15}+\beta q^{17}+\cdots$$
1776.1.w.a $$2$$ $$0.886$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-q^{3}-iq^{7}+q^{9}+(-1-i)q^{13}+\cdots$$
1776.1.w.b $$2$$ $$0.886$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+q^{3}+iq^{7}+q^{9}+(-1-i)q^{13}+\cdots$$
1776.1.z.a $$4$$ $$0.886$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+\zeta_{8}^{2}q^{2}-\zeta_{8}^{3}q^{3}-q^{4}+(-1+\zeta_{8}^{2}+\cdots)q^{5}+\cdots$$
1776.1.z.b $$4$$ $$0.886$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q-\zeta_{8}^{2}q^{2}-\zeta_{8}^{3}q^{3}-q^{4}+(1-\zeta_{8}^{2}+\cdots)q^{5}+\cdots$$
1776.1.z.c $$16$$ $$0.886$$ $$\Q(\zeta_{32})$$ $$\Q(\sqrt{-111})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{32}^{3}q^{2}+\zeta_{32}^{4}q^{3}+\zeta_{32}^{6}q^{4}+\cdots$$
1776.1.bq.a $$2$$ $$0.886$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$1$$ $$q-\zeta_{6}^{2}q^{3}-\zeta_{6}^{2}q^{7}-\zeta_{6}q^{9}+(-1+\cdots)q^{13}+\cdots$$
1776.1.bw.a $$2$$ $$0.886$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$-1$$ $$q+\zeta_{6}q^{3}-\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\zeta_{6}q^{13}+\cdots$$
1776.1.cr.a $$4$$ $$0.886$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+\zeta_{12}^{4}q^{3}+\zeta_{12}q^{7}-\zeta_{12}^{2}q^{9}+(\zeta_{12}^{2}+\cdots)q^{13}+\cdots$$
1776.1.cr.b $$4$$ $$0.886$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q-\zeta_{12}^{4}q^{3}-\zeta_{12}q^{7}-\zeta_{12}^{2}q^{9}+(\zeta_{12}^{2}+\cdots)q^{13}+\cdots$$
1776.1.dk.a $$6$$ $$0.886$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-3$$ $$q+\zeta_{18}^{7}q^{3}+(-\zeta_{18}^{5}+\zeta_{18}^{6})q^{7}+\cdots$$
1776.1.dr.a $$6$$ $$0.886$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$3$$ $$q+\zeta_{18}q^{3}+(-\zeta_{18}^{2}-\zeta_{18}^{6})q^{7}+\zeta_{18}^{2}q^{9}+\cdots$$
1776.1.em.a $$12$$ $$0.886$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{36}^{16}q^{3}+(-\zeta_{36}^{5}+\zeta_{36}^{15})q^{7}+\cdots$$
1776.1.em.b $$12$$ $$0.886$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{36}^{16}q^{3}+(\zeta_{36}^{5}-\zeta_{36}^{15})q^{7}+\cdots$$
1776.2.a.a $$1$$ $$14.181$$ $$\Q$$ None None $$0$$ $$-1$$ $$-2$$ $$0$$ $$-$$ $$q-q^{3}-2q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots$$
1776.2.a.b $$1$$ $$14.181$$ $$\Q$$ None None $$0$$ $$-1$$ $$-2$$ $$4$$ $$-$$ $$q-q^{3}-2q^{5}+4q^{7}+q^{9}+4q^{11}+\cdots$$
1776.2.a.c $$1$$ $$14.181$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$1$$ $$+$$ $$q-q^{3}+q^{7}+q^{9}-3q^{11}-q^{13}-3q^{17}+\cdots$$
1776.2.a.d $$1$$ $$14.181$$ $$\Q$$ None None $$0$$ $$-1$$ $$4$$ $$0$$ $$-$$ $$q-q^{3}+4q^{5}+q^{9}+2q^{13}-4q^{15}+\cdots$$
1776.2.a.e $$1$$ $$14.181$$ $$\Q$$ None None $$0$$ $$-1$$ $$4$$ $$1$$ $$-$$ $$q-q^{3}+4q^{5}+q^{7}+q^{9}+q^{11}-3q^{13}+\cdots$$
1776.2.a.f $$1$$ $$14.181$$ $$\Q$$ None None $$0$$ $$1$$ $$-4$$ $$-3$$ $$-$$ $$q+q^{3}-4q^{5}-3q^{7}+q^{9}-5q^{11}+\cdots$$
1776.2.a.g $$1$$ $$14.181$$ $$\Q$$ None None $$0$$ $$1$$ $$-4$$ $$1$$ $$+$$ $$q+q^{3}-4q^{5}+q^{7}+q^{9}+3q^{11}-5q^{13}+\cdots$$
1776.2.a.h $$1$$ $$14.181$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$-3$$ $$+$$ $$q+q^{3}-3q^{7}+q^{9}-q^{11}+q^{13}-3q^{17}+\cdots$$
1776.2.a.i $$1$$ $$14.181$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$0$$ $$+$$ $$q+q^{3}+q^{9}-4q^{11}-2q^{13}-6q^{19}+\cdots$$
1776.2.a.j $$1$$ $$14.181$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$0$$ $$+$$ $$q+q^{3}+q^{9}-6q^{13}-4q^{17}-4q^{19}+\cdots$$
1776.2.a.k $$1$$ $$14.181$$ $$\Q$$ None None $$0$$ $$1$$ $$2$$ $$0$$ $$-$$ $$q+q^{3}+2q^{5}+q^{9}+4q^{11}+6q^{13}+\cdots$$
1776.2.a.l $$2$$ $$14.181$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$-4$$ $$4$$ $$+$$ $$q-q^{3}+(-2+\beta )q^{5}+(2+2\beta )q^{7}+q^{9}+\cdots$$
1776.2.a.m $$2$$ $$14.181$$ $$\Q(\sqrt{6})$$ None None $$0$$ $$-2$$ $$0$$ $$-4$$ $$+$$ $$q-q^{3}+\beta q^{5}-2q^{7}+q^{9}+(2-2\beta )q^{13}+\cdots$$
1776.2.a.n $$2$$ $$14.181$$ $$\Q(\sqrt{41})$$ None None $$0$$ $$-2$$ $$0$$ $$-3$$ $$-$$ $$q-q^{3}+(-1-\beta )q^{7}+q^{9}+(-1-\beta )q^{11}+\cdots$$
1776.2.a.o $$2$$ $$14.181$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$2$$ $$-2$$ $$0$$ $$-$$ $$q+q^{3}+(-1+\beta )q^{5}+2\beta q^{7}+q^{9}+\cdots$$
1776.2.a.p $$2$$ $$14.181$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$2$$ $$2$$ $$-8$$ $$+$$ $$q+q^{3}+(1+\beta )q^{5}-4q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots$$
1776.2.a.q $$2$$ $$14.181$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$2$$ $$2$$ $$4$$ $$-$$ $$q+q^{3}+(1+\beta )q^{5}+2q^{7}+q^{9}+(2+2\beta )q^{11}+\cdots$$
1776.2.a.r $$3$$ $$14.181$$ 3.3.568.1 None None $$0$$ $$-3$$ $$0$$ $$1$$ $$+$$ $$q-q^{3}+(\beta _{1}+\beta _{2})q^{5}-\beta _{2}q^{7}+q^{9}+\cdots$$
1776.2.a.s $$3$$ $$14.181$$ 3.3.316.1 None None $$0$$ $$3$$ $$2$$ $$5$$ $$-$$ $$q+q^{3}+(1-\beta _{1}-\beta _{2})q^{5}+(1+2\beta _{1}+\cdots)q^{7}+\cdots$$
1776.2.a.t $$3$$ $$14.181$$ 3.3.148.1 None None $$0$$ $$3$$ $$4$$ $$4$$ $$-$$ $$q+q^{3}+(1+\beta _{2})q^{5}+(2-\beta _{1}-\beta _{2})q^{7}+\cdots$$
1776.2.a.u $$4$$ $$14.181$$ 4.4.6224.1 None None $$0$$ $$-4$$ $$-2$$ $$-4$$ $$-$$ $$q-q^{3}+(-1+\beta _{3})q^{5}+(-2+\beta _{2}+\beta _{3})q^{7}+\cdots$$
1776.2.e.a $$2$$ $$14.181$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-3$$ $$0$$ $$0$$ $$q+(-1-\zeta_{6})q^{3}+(2-4\zeta_{6})q^{5}+(1-2\zeta_{6})q^{7}+\cdots$$
1776.2.e.b $$2$$ $$14.181$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{3}-2\zeta_{6}q^{5}-2\zeta_{6}q^{7}-3q^{9}+\cdots$$
1776.2.e.c $$2$$ $$14.181$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{6}q^{3}-2\zeta_{6}q^{5}+2\zeta_{6}q^{7}-3q^{9}+\cdots$$
1776.2.e.d $$2$$ $$14.181$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$3$$ $$0$$ $$0$$ $$q+(1+\zeta_{6})q^{3}+(2-4\zeta_{6})q^{5}+(-1+2\zeta_{6})q^{7}+\cdots$$
1776.2.e.e $$8$$ $$14.181$$ 8.0.8275904784.2 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{3}+(2\beta _{3}-2\beta _{5}-\beta _{6})q^{7}+(-\beta _{2}+\cdots)q^{9}+\cdots$$
1776.2.e.f $$12$$ $$14.181$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{10}q^{3}-\beta _{1}q^{5}+(-\beta _{6}-\beta _{10})q^{7}+\cdots$$
1776.2.e.g $$12$$ $$14.181$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{8}q^{3}+\beta _{10}q^{5}-\beta _{11}q^{7}+(-\beta _{2}+\cdots)q^{9}+\cdots$$
1776.2.e.h $$16$$ $$14.181$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{5}q^{3}+\beta _{6}q^{5}-\beta _{2}q^{9}+(\beta _{5}+\beta _{12}+\cdots)q^{11}+\cdots$$
1776.2.e.i $$16$$ $$14.181$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+\beta _{7}q^{5}+(-\beta _{1}-\beta _{3}-\beta _{13}+\cdots)q^{7}+\cdots$$
1776.2.h.a $$2$$ $$14.181$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$0$$ $$-6$$ $$q-q^{3}+2iq^{5}-3q^{7}+q^{9}+3q^{11}+\cdots$$
1776.2.h.b $$2$$ $$14.181$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-q^{3}+q^{9}-4q^{11}-2iq^{13}+2iq^{17}+\cdots$$
1776.2.h.c $$2$$ $$14.181$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+q^{3}+iq^{5}+q^{9}+iq^{15}-iq^{17}+\cdots$$
1776.2.h.d $$4$$ $$14.181$$ 4.0.32448.1 None None $$0$$ $$-4$$ $$0$$ $$4$$ $$q-q^{3}+\beta _{1}q^{5}+(1-\beta _{2})q^{7}+q^{9}+2\beta _{1}q^{13}+\cdots$$