## Results (1-50 of 124 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1323.1.b.a $$1$$ $$0.660$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+q^{4}-q^{13}+q^{16}+2q^{19}+q^{25}+\cdots$$
1323.1.b.b $$1$$ $$0.660$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+q^{4}+q^{13}+q^{16}-2q^{19}+q^{25}+\cdots$$
1323.1.d.a $$2$$ $$0.660$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-q^{4}+(\zeta_{6}+\zeta_{6}^{2})q^{13}+q^{16}+q^{25}+\cdots$$
1323.1.m.a $$2$$ $$0.660$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{4}+(-\zeta_{6}-\zeta_{6}^{2})q^{13}-\zeta_{6}q^{16}+\cdots$$
1323.1.q.a $$2$$ $$0.660$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{4}+q^{13}+\zeta_{6}^{2}q^{16}-\zeta_{6}^{2}q^{19}+\cdots$$
1323.1.br.a $$12$$ $$0.660$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-\zeta_{42}^{13}q^{4}-\zeta_{42}^{3}q^{7}+(-\zeta_{42}-\zeta_{42}^{5}+\cdots)q^{13}+\cdots$$
1323.1.bv.a $$12$$ $$0.660$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q-\zeta_{42}^{10}q^{4}-\zeta_{42}^{12}q^{7}+(\zeta_{42}^{4}-\zeta_{42}^{20}+\cdots)q^{13}+\cdots$$
1323.2.a.a $$1$$ $$10.564$$ $$\Q$$ None None $$-2$$ $$0$$ $$-3$$ $$0$$ $$+$$ $$q-2q^{2}+2q^{4}-3q^{5}+6q^{10}-2q^{11}+\cdots$$
1323.2.a.b $$1$$ $$10.564$$ $$\Q$$ None None $$-2$$ $$0$$ $$1$$ $$0$$ $$+$$ $$q-2q^{2}+2q^{4}+q^{5}-2q^{10}-4q^{11}+\cdots$$
1323.2.a.c $$1$$ $$10.564$$ $$\Q$$ None None $$-2$$ $$0$$ $$3$$ $$0$$ $$-$$ $$q-2q^{2}+2q^{4}+3q^{5}-6q^{10}-2q^{11}+\cdots$$
1323.2.a.d $$1$$ $$10.564$$ $$\Q$$ None None $$-1$$ $$0$$ $$-4$$ $$0$$ $$-$$ $$q-q^{2}-q^{4}-4q^{5}+3q^{8}+4q^{10}+\cdots$$
1323.2.a.e $$1$$ $$10.564$$ $$\Q$$ None None $$-1$$ $$0$$ $$-3$$ $$0$$ $$+$$ $$q-q^{2}-q^{4}-3q^{5}+3q^{8}+3q^{10}+\cdots$$
1323.2.a.f $$1$$ $$10.564$$ $$\Q$$ None None $$-1$$ $$0$$ $$3$$ $$0$$ $$-$$ $$q-q^{2}-q^{4}+3q^{5}+3q^{8}-3q^{10}+\cdots$$
1323.2.a.g $$1$$ $$10.564$$ $$\Q$$ None None $$-1$$ $$0$$ $$4$$ $$0$$ $$-$$ $$q-q^{2}-q^{4}+4q^{5}+3q^{8}-4q^{10}+\cdots$$
1323.2.a.h $$1$$ $$10.564$$ $$\Q$$ None None $$0$$ $$0$$ $$-3$$ $$0$$ $$+$$ $$q-2q^{4}-3q^{5}+6q^{11}+4q^{13}+4q^{16}+\cdots$$
1323.2.a.i $$1$$ $$10.564$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q-2q^{4}-5q^{13}+4q^{16}+7q^{19}-5q^{25}+\cdots$$
1323.2.a.j $$1$$ $$10.564$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$q-2q^{4}-2q^{13}+4q^{16}+7q^{19}-5q^{25}+\cdots$$
1323.2.a.k $$1$$ $$10.564$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$q-2q^{4}+2q^{13}+4q^{16}-7q^{19}-5q^{25}+\cdots$$
1323.2.a.l $$1$$ $$10.564$$ $$\Q$$ None None $$0$$ $$0$$ $$3$$ $$0$$ $$-$$ $$q-2q^{4}+3q^{5}-6q^{11}+4q^{13}+4q^{16}+\cdots$$
1323.2.a.m $$1$$ $$10.564$$ $$\Q$$ None None $$1$$ $$0$$ $$-4$$ $$0$$ $$-$$ $$q+q^{2}-q^{4}-4q^{5}-3q^{8}-4q^{10}+\cdots$$
1323.2.a.n $$1$$ $$10.564$$ $$\Q$$ None None $$1$$ $$0$$ $$-3$$ $$0$$ $$-$$ $$q+q^{2}-q^{4}-3q^{5}-3q^{8}-3q^{10}+\cdots$$
1323.2.a.o $$1$$ $$10.564$$ $$\Q$$ None None $$1$$ $$0$$ $$3$$ $$0$$ $$+$$ $$q+q^{2}-q^{4}+3q^{5}-3q^{8}+3q^{10}+\cdots$$
1323.2.a.p $$1$$ $$10.564$$ $$\Q$$ None None $$1$$ $$0$$ $$4$$ $$0$$ $$-$$ $$q+q^{2}-q^{4}+4q^{5}-3q^{8}+4q^{10}+\cdots$$
1323.2.a.q $$1$$ $$10.564$$ $$\Q$$ None None $$2$$ $$0$$ $$-3$$ $$0$$ $$+$$ $$q+2q^{2}+2q^{4}-3q^{5}-6q^{10}+2q^{11}+\cdots$$
1323.2.a.r $$1$$ $$10.564$$ $$\Q$$ None None $$2$$ $$0$$ $$-1$$ $$0$$ $$-$$ $$q+2q^{2}+2q^{4}-q^{5}-2q^{10}+4q^{11}+\cdots$$
1323.2.a.s $$1$$ $$10.564$$ $$\Q$$ None None $$2$$ $$0$$ $$3$$ $$0$$ $$-$$ $$q+2q^{2}+2q^{4}+3q^{5}+6q^{10}+2q^{11}+\cdots$$
1323.2.a.t $$2$$ $$10.564$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$q+\beta q^{2}+q^{4}-\beta q^{5}-\beta q^{8}-3q^{10}+\cdots$$
1323.2.a.u $$2$$ $$10.564$$ $$\Q(\sqrt{6})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q+\beta q^{2}+4q^{4}-\beta q^{5}+2\beta q^{8}-6q^{10}+\cdots$$
1323.2.a.v $$2$$ $$10.564$$ $$\Q(\sqrt{6})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q+\beta q^{2}+4q^{4}+\beta q^{5}+2\beta q^{8}+6q^{10}+\cdots$$
1323.2.a.w $$2$$ $$10.564$$ $$\Q(\sqrt{7})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q+\beta q^{2}+5q^{4}+\beta q^{5}+3\beta q^{8}+7q^{10}+\cdots$$
1323.2.a.x $$3$$ $$10.564$$ 3.3.321.1 None None $$-2$$ $$0$$ $$-1$$ $$0$$ $$+$$ $$q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots$$
1323.2.a.y $$3$$ $$10.564$$ 3.3.321.1 None None $$-2$$ $$0$$ $$1$$ $$0$$ $$+$$ $$q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots$$
1323.2.a.z $$3$$ $$10.564$$ 3.3.321.1 None None $$2$$ $$0$$ $$-1$$ $$0$$ $$-$$ $$q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\beta _{2}q^{5}+\cdots$$
1323.2.a.ba $$3$$ $$10.564$$ 3.3.321.1 None None $$2$$ $$0$$ $$1$$ $$0$$ $$-$$ $$q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}-\beta _{2}q^{5}+\cdots$$
1323.2.a.bb $$4$$ $$10.564$$ $$\Q(\sqrt{2}, \sqrt{5})$$ None None $$0$$ $$0$$ $$-8$$ $$0$$ $$+$$ $$q+\beta _{1}q^{2}+(1+\beta _{3})q^{4}+(-2-\beta _{3})q^{5}+\cdots$$
1323.2.a.bc $$4$$ $$10.564$$ 4.4.7168.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{1}q^{5}+\beta _{3}q^{8}+\cdots$$
1323.2.a.bd $$4$$ $$10.564$$ 4.4.7168.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{1}q^{5}+\beta _{3}q^{8}+\cdots$$
1323.2.a.be $$4$$ $$10.564$$ $$\Q(\sqrt{2}, \sqrt{5})$$ None None $$0$$ $$0$$ $$8$$ $$0$$ $$-$$ $$q+\beta _{1}q^{2}+(1+\beta _{3})q^{4}+(2+\beta _{3})q^{5}+\cdots$$
1323.2.c.a $$2$$ $$10.564$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2q^{4}-4\zeta_{6}q^{13}+4q^{16}-3\zeta_{6}q^{19}+\cdots$$
1323.2.c.b $$4$$ $$10.564$$ $$\Q(\sqrt{-3}, \sqrt{-5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-3q^{4}-\beta _{1}q^{8}-2\beta _{1}q^{11}+\cdots$$
1323.2.c.c $$4$$ $$10.564$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{3}q^{5}+2\beta _{1}q^{8}+2\beta _{2}q^{10}+\cdots$$
1323.2.c.d $$12$$ $$10.564$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{8}q^{2}+(-1-\beta _{6})q^{4}+\beta _{1}q^{5}+(-\beta _{8}+\cdots)q^{8}+\cdots$$
1323.2.c.e $$16$$ $$10.564$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{7}q^{2}+(-1-\beta _{1}-\beta _{4})q^{4}+(-\beta _{3}+\cdots)q^{5}+\cdots$$
1323.2.c.f $$16$$ $$10.564$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{5}q^{2}+(-1+\beta _{13})q^{4}-\beta _{2}q^{5}+\cdots$$
1323.2.f.a $$2$$ $$10.564$$ $$\Q(\sqrt{-3})$$ None None $$1$$ $$0$$ $$-1$$ $$0$$ $$q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{4}-\zeta_{6}q^{5}+3q^{8}+\cdots$$
1323.2.f.b $$2$$ $$10.564$$ $$\Q(\sqrt{-3})$$ None None $$1$$ $$0$$ $$1$$ $$0$$ $$q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{4}+\zeta_{6}q^{5}+3q^{8}+\cdots$$
1323.2.f.c $$6$$ $$10.564$$ 6.0.309123.1 None None $$-1$$ $$0$$ $$5$$ $$0$$ $$q+(\beta _{1}-\beta _{5})q^{2}+(-1+\beta _{2}+\beta _{4}+\beta _{5})q^{4}+\cdots$$
1323.2.f.d $$6$$ $$10.564$$ $$\Q(\zeta_{18})$$ None None $$3$$ $$0$$ $$-3$$ $$0$$ $$q+(\zeta_{18}-\zeta_{18}^{3}-\zeta_{18}^{4}+\zeta_{18}^{5})q^{2}+\cdots$$
1323.2.f.e $$10$$ $$10.564$$ 10.0.$$\cdots$$.1 None None $$-2$$ $$0$$ $$-4$$ $$0$$ $$q-\beta _{1}q^{2}+(-\beta _{3}+\beta _{6}+\beta _{7})q^{4}+(\beta _{6}+\cdots)q^{5}+\cdots$$
1323.2.f.f $$10$$ $$10.564$$ 10.0.$$\cdots$$.1 None None $$-2$$ $$0$$ $$4$$ $$0$$ $$q-\beta _{1}q^{2}+(-\beta _{3}+\beta _{6}+\beta _{7})q^{4}+(-\beta _{6}+\cdots)q^{5}+\cdots$$