## Results (1-50 of 69 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
3969.1.b.a $$4$$ $$1.981$$ $$\Q(\sqrt{-2}, \sqrt{3})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+(-1+\beta _{2})q^{4}+(2\beta _{1}-\beta _{3})q^{8}+\cdots$$
3969.1.j.a $$2$$ $$1.981$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+q^{4}-\zeta_{6}q^{13}+q^{16}+\zeta_{6}q^{19}-\zeta_{6}q^{25}+\cdots$$
3969.1.j.b $$4$$ $$1.981$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{2}-q^{4}+(-\beta _{1}+\beta _{3})q^{11}-q^{16}+\cdots$$
3969.1.j.c $$8$$ $$1.981$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{24}+\zeta_{24}^{11})q^{2}+(-1+\zeta_{24}^{2}+\cdots)q^{4}+\cdots$$
3969.1.k.a $$2$$ $$1.981$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-7})$$ None $$-1$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}-q^{8}+q^{11}-\zeta_{6}^{2}q^{16}+\cdots$$
3969.1.k.b $$2$$ $$1.981$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-7})$$ $$\Q(\sqrt{21})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{6}q^{4}+\zeta_{6}^{2}q^{16}+q^{25}+\zeta_{6}q^{37}+\cdots$$
3969.1.k.c $$2$$ $$1.981$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{6}q^{4}+(1+\zeta_{6})q^{13}+\zeta_{6}^{2}q^{16}+\cdots$$
3969.1.k.d $$2$$ $$1.981$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-7})$$ None $$1$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}+q^{8}-q^{11}-\zeta_{6}^{2}q^{16}+\cdots$$
3969.1.k.e $$4$$ $$1.981$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{12}+\zeta_{12}^{3})q^{2}+(-1+\zeta_{12}^{2}+\zeta_{12}^{4}+\cdots)q^{4}+\cdots$$
3969.1.l.a $$2$$ $$1.981$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{6}q^{4}+(-1+\zeta_{6}^{2})q^{13}+\zeta_{6}^{2}q^{16}+\cdots$$
3969.1.l.b $$2$$ $$1.981$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{6}q^{4}+(1-\zeta_{6}^{2})q^{13}+\zeta_{6}^{2}q^{16}+\cdots$$
3969.1.m.a $$2$$ $$1.981$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-7})$$ None $$-1$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}-q^{8}-\zeta_{6}q^{11}-\zeta_{6}^{2}q^{16}+\cdots$$
3969.1.m.b $$2$$ $$1.981$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-7})$$ None $$1$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}+q^{8}+\zeta_{6}q^{11}-\zeta_{6}^{2}q^{16}+\cdots$$
3969.1.m.c $$4$$ $$1.981$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{12}+\zeta_{12}^{3})q^{2}+(-1+\zeta_{12}^{2}+\zeta_{12}^{4}+\cdots)q^{4}+\cdots$$
3969.1.n.a $$2$$ $$1.981$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{13}-\zeta_{6}q^{16}-\zeta_{6}^{2}q^{19}+\cdots$$
3969.1.n.b $$4$$ $$1.981$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}-\beta _{3})q^{2}+(1-\beta _{2})q^{4}+\beta _{3}q^{11}+\cdots$$
3969.1.n.c $$8$$ $$1.981$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{24}^{7}-\zeta_{24}^{9})q^{2}+(-\zeta_{24}^{2}+\zeta_{24}^{4}+\cdots)q^{4}+\cdots$$
3969.1.q.a $$8$$ $$1.981$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{24}^{7}-\zeta_{24}^{9})q^{2}+(-\zeta_{24}^{2}+\zeta_{24}^{4}+\cdots)q^{4}+\cdots$$
3969.1.r.a $$2$$ $$1.981$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{13}-\zeta_{6}q^{16}-q^{19}+\cdots$$
3969.1.r.b $$2$$ $$1.981$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{13}-\zeta_{6}q^{16}+q^{19}+\cdots$$
3969.1.r.c $$4$$ $$1.981$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}-\beta _{3})q^{2}+(1-\beta _{2})q^{4}+(\beta _{1}-\beta _{3})q^{11}+\cdots$$
3969.1.r.d $$8$$ $$1.981$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{24}^{7}-\zeta_{24}^{9})q^{2}+(-\zeta_{24}^{2}+\zeta_{24}^{4}+\cdots)q^{4}+\cdots$$
3969.1.t.a $$2$$ $$1.981$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-7})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{8}-\zeta_{6}^{2}q^{11}-q^{16}+\zeta_{6}^{2}q^{22}+\cdots$$
3969.1.t.b $$2$$ $$1.981$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-q^{4}+(-1-\zeta_{6})q^{13}+q^{16}+\zeta_{6}^{2}q^{25}+\cdots$$
3969.1.t.c $$2$$ $$1.981$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-7})$$ $$\Q(\sqrt{21})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-q^{4}+q^{16}+\zeta_{6}^{2}q^{25}-\zeta_{6}^{2}q^{37}+\cdots$$
3969.1.t.d $$2$$ $$1.981$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-7})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}-q^{8}+\zeta_{6}^{2}q^{11}-q^{16}+\zeta_{6}^{2}q^{22}+\cdots$$
3969.1.t.e $$4$$ $$1.981$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{12}-\zeta_{12}^{5})q^{2}+(1+\zeta_{12}^{2}-\zeta_{12}^{4}+\cdots)q^{4}+\cdots$$
3969.1.br.a $$12$$ $$1.981$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q-\zeta_{42}^{18}q^{4}-\zeta_{42}^{2}q^{7}+(-\zeta_{42}^{3}+\cdots)q^{13}+\cdots$$
3969.1.bt.a $$12$$ $$1.981$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q-\zeta_{42}^{11}q^{4}+\zeta_{42}^{16}q^{7}+(\zeta_{42}^{8}-\zeta_{42}^{17}+\cdots)q^{13}+\cdots$$
3969.1.bx.a $$12$$ $$1.981$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q-\zeta_{42}q^{4}+\zeta_{42}^{4}q^{7}+(-\zeta_{42}^{9}-\zeta_{42}^{13}+\cdots)q^{13}+\cdots$$
3969.1.bz.a $$12$$ $$1.981$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q-\zeta_{42}^{16}q^{4}-\zeta_{42}^{8}q^{7}+(-\zeta_{42}^{4}+\cdots)q^{13}+\cdots$$
3969.1.ca.a $$12$$ $$1.981$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q-\zeta_{42}^{10}q^{4}+\zeta_{42}^{19}q^{7}+(\zeta_{42}^{4}-\zeta_{42}^{6}+\cdots)q^{13}+\cdots$$
3969.1.cb.a $$12$$ $$1.981$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q+\zeta_{42}^{18}q^{4}+\zeta_{42}^{16}q^{7}+(-\zeta_{42}+\cdots)q^{13}+\cdots$$
3969.2.a.a $$1$$ $$31.693$$ $$\Q$$ None None $$-1$$ $$0$$ $$-1$$ $$0$$ $$+$$ $$q-q^{2}-q^{4}-q^{5}+3q^{8}+q^{10}-5q^{11}+\cdots$$
3969.2.a.b $$1$$ $$31.693$$ $$\Q$$ None None $$-1$$ $$0$$ $$-1$$ $$0$$ $$-$$ $$q-q^{2}-q^{4}-q^{5}+3q^{8}+q^{10}-2q^{11}+\cdots$$
3969.2.a.c $$1$$ $$31.693$$ $$\Q$$ None None $$-1$$ $$0$$ $$1$$ $$0$$ $$-$$ $$q-q^{2}-q^{4}+q^{5}+3q^{8}-q^{10}-5q^{11}+\cdots$$
3969.2.a.d $$1$$ $$31.693$$ $$\Q$$ None None $$1$$ $$0$$ $$-1$$ $$0$$ $$+$$ $$q+q^{2}-q^{4}-q^{5}-3q^{8}-q^{10}+5q^{11}+\cdots$$
3969.2.a.e $$1$$ $$31.693$$ $$\Q$$ None None $$1$$ $$0$$ $$1$$ $$0$$ $$-$$ $$q+q^{2}-q^{4}+q^{5}-3q^{8}+q^{10}+2q^{11}+\cdots$$
3969.2.a.f $$1$$ $$31.693$$ $$\Q$$ None None $$1$$ $$0$$ $$1$$ $$0$$ $$-$$ $$q+q^{2}-q^{4}+q^{5}-3q^{8}+q^{10}+5q^{11}+\cdots$$
3969.2.a.g $$2$$ $$31.693$$ $$\Q(\sqrt{15})$$ None None $$-2$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q-q^{2}-q^{4}+\beta q^{5}+3q^{8}-\beta q^{10}+\cdots$$
3969.2.a.h $$2$$ $$31.693$$ $$\Q(\sqrt{21})$$ $$\Q(\sqrt{-7})$$ None $$-1$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q-\beta q^{2}+(3+\beta )q^{4}+(-5-2\beta )q^{8}+\cdots$$
3969.2.a.i $$2$$ $$31.693$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$q+\beta q^{2}+q^{4}+\beta q^{5}-\beta q^{8}+3q^{10}+\cdots$$
3969.2.a.j $$2$$ $$31.693$$ $$\Q(\sqrt{21})$$ $$\Q(\sqrt{-7})$$ None $$1$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q+\beta q^{2}+(3+\beta )q^{4}+(5+2\beta )q^{8}+(1+\cdots)q^{11}+\cdots$$
3969.2.a.k $$2$$ $$31.693$$ $$\Q(\sqrt{15})$$ None None $$2$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q+q^{2}-q^{4}+\beta q^{5}-3q^{8}+\beta q^{10}+\cdots$$
3969.2.a.l $$3$$ $$31.693$$ $$\Q(\zeta_{18})^+$$ None None $$-3$$ $$0$$ $$3$$ $$0$$ $$+$$ $$q+(-1+\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+\cdots$$
3969.2.a.m $$3$$ $$31.693$$ 3.3.321.1 None None $$-1$$ $$0$$ $$5$$ $$0$$ $$-$$ $$q-\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(2+\beta _{2})q^{5}+\cdots$$
3969.2.a.n $$3$$ $$31.693$$ 3.3.621.1 None None $$0$$ $$0$$ $$-3$$ $$0$$ $$-$$ $$q-\beta _{1}q^{2}+(2+\beta _{1}+\beta _{2})q^{4}+(-1-\beta _{2})q^{5}+\cdots$$
3969.2.a.o $$3$$ $$31.693$$ 3.3.621.1 None None $$0$$ $$0$$ $$3$$ $$0$$ $$-$$ $$q+\beta _{1}q^{2}+(2+\beta _{1}+\beta _{2})q^{4}+(1+\beta _{2})q^{5}+\cdots$$
3969.2.a.p $$3$$ $$31.693$$ 3.3.321.1 None None $$1$$ $$0$$ $$-5$$ $$0$$ $$+$$ $$q+\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(-2-\beta _{2})q^{5}+\cdots$$
3969.2.a.q $$3$$ $$31.693$$ $$\Q(\zeta_{18})^+$$ None None $$3$$ $$0$$ $$-3$$ $$0$$ $$-$$ $$q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots$$