Results (35 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
2667.1.b.a $$1$$ $$1.331$$ $$\Q$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-2667})$$ $$\Q(\sqrt{889})$$ $$0$$ $$-1$$ $$0$$ $$1$$ $$q-q^{3}+q^{4}+q^{7}+q^{9}-q^{12}+q^{16}+\cdots$$
2667.1.b.b $$1$$ $$1.331$$ $$\Q$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-2667})$$ $$\Q(\sqrt{889})$$ $$0$$ $$1$$ $$0$$ $$-1$$ $$q+q^{3}+q^{4}-q^{7}+q^{9}+q^{12}+q^{16}+\cdots$$
2667.1.n.a $$2$$ $$1.331$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$1$$ $$q-\zeta_{6}q^{3}+q^{4}+\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}-\zeta_{6}q^{12}+\cdots$$
2667.1.n.b $$2$$ $$1.331$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$-1$$ $$q+\zeta_{6}q^{3}+q^{4}-\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\zeta_{6}q^{12}+\cdots$$
2667.1.bf.a $$4$$ $$1.331$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$-2$$ $$0$$ $$-2$$ $$q-\zeta_{12}q^{2}+\zeta_{12}^{4}q^{3}+\zeta_{12}q^{5}-\zeta_{12}^{5}q^{6}+\cdots$$
2667.1.bi.a $$4$$ $$1.331$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$4$$ $$0$$ $$4$$ $$q+\zeta_{12}^{5}q^{2}+q^{3}-\zeta_{12}^{5}q^{5}+\zeta_{12}^{5}q^{6}+\cdots$$
2667.1.by.a $$6$$ $$1.331$$ $$\Q(\zeta_{14})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$-6$$ $$q+\zeta_{14}^{2}q^{3}-\zeta_{14}q^{4}-q^{7}+\zeta_{14}^{4}q^{9}+\cdots$$
2667.1.by.b $$6$$ $$1.331$$ $$\Q(\zeta_{14})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$-1$$ $$q-\zeta_{14}^{2}q^{3}-\zeta_{14}q^{4}-\zeta_{14}^{5}q^{7}+\zeta_{14}^{4}q^{9}+\cdots$$
2667.1.cj.a $$6$$ $$1.331$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{18}^{7}q^{3}+\zeta_{18}^{6}q^{4}-\zeta_{18}q^{7}-\zeta_{18}^{5}q^{9}+\cdots$$
2667.1.ck.a $$6$$ $$1.331$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{18}^{4}q^{3}+\zeta_{18}^{6}q^{4}-\zeta_{18}^{7}q^{7}+\cdots$$
2667.1.cn.a $$6$$ $$1.331$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{18}^{2}q^{3}+\zeta_{18}^{6}q^{4}-\zeta_{18}^{2}q^{7}+\cdots$$
2667.1.co.a $$6$$ $$1.331$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{18}^{8}q^{3}+\zeta_{18}^{6}q^{4}+\zeta_{18}^{8}q^{7}+\cdots$$
2667.1.dy.a $$12$$ $$1.331$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$1$$ $$q-\zeta_{42}^{16}q^{3}-\zeta_{42}^{15}q^{4}-\zeta_{42}^{19}q^{7}+\cdots$$
2667.1.dy.b $$12$$ $$1.331$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$6$$ $$q+\zeta_{42}^{16}q^{3}-\zeta_{42}^{15}q^{4}+\zeta_{42}^{7}q^{7}+\cdots$$
2667.1.ei.a $$36$$ $$1.331$$ $$\Q(\zeta_{63})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{126}^{10}q^{3}+\zeta_{126}^{12}q^{4}-\zeta_{126}^{28}q^{7}+\cdots$$
2667.1.ej.a $$36$$ $$1.331$$ $$\Q(\zeta_{63})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{126}^{20}q^{3}+\zeta_{126}^{24}q^{4}+\zeta_{126}^{56}q^{7}+\cdots$$
2667.1.em.a $$36$$ $$1.331$$ $$\Q(\zeta_{63})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{126}^{62}q^{3}-\zeta_{126}^{3}q^{4}+\zeta_{126}^{50}q^{7}+\cdots$$
2667.1.en.a $$36$$ $$1.331$$ $$\Q(\zeta_{63})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{126}^{58}q^{3}-\zeta_{126}^{15}q^{4}-\zeta_{126}^{61}q^{7}+\cdots$$
2667.2.a.a $$1$$ $$21.296$$ $$\Q$$ None None $$-2$$ $$1$$ $$0$$ $$-1$$ $$+$$ $$q-2q^{2}+q^{3}+2q^{4}-2q^{6}-q^{7}+q^{9}+\cdots$$
2667.2.a.b $$1$$ $$21.296$$ $$\Q$$ None None $$-1$$ $$-1$$ $$4$$ $$-1$$ $$-$$ $$q-q^{2}-q^{3}-q^{4}+4q^{5}+q^{6}-q^{7}+\cdots$$
2667.2.a.c $$1$$ $$21.296$$ $$\Q$$ None None $$-1$$ $$1$$ $$0$$ $$1$$ $$+$$ $$q-q^{2}+q^{3}-q^{4}-q^{6}+q^{7}+3q^{8}+\cdots$$
2667.2.a.d $$1$$ $$21.296$$ $$\Q$$ None None $$0$$ $$1$$ $$3$$ $$1$$ $$-$$ $$q+q^{3}-2q^{4}+3q^{5}+q^{7}+q^{9}+6q^{11}+\cdots$$
2667.2.a.e $$1$$ $$21.296$$ $$\Q$$ None None $$2$$ $$1$$ $$3$$ $$-1$$ $$-$$ $$q+2q^{2}+q^{3}+2q^{4}+3q^{5}+2q^{6}+\cdots$$
2667.2.a.f $$2$$ $$21.296$$ $$\Q(\sqrt{17})$$ None None $$0$$ $$2$$ $$-3$$ $$-2$$ $$+$$ $$q+q^{3}-2q^{4}+(-1-\beta )q^{5}-q^{7}+q^{9}+\cdots$$
2667.2.a.g $$2$$ $$21.296$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$2$$ $$0$$ $$2$$ $$+$$ $$q+\beta q^{2}+q^{3}-\beta q^{5}+\beta q^{6}+q^{7}-2\beta q^{8}+\cdots$$
2667.2.a.h $$2$$ $$21.296$$ $$\Q(\sqrt{6})$$ None None $$0$$ $$2$$ $$0$$ $$2$$ $$-$$ $$q+\beta q^{2}+q^{3}+4q^{4}+\beta q^{5}+\beta q^{6}+\cdots$$
2667.2.a.i $$2$$ $$21.296$$ $$\Q(\sqrt{17})$$ None None $$1$$ $$-2$$ $$3$$ $$-2$$ $$-$$ $$q+\beta q^{2}-q^{3}+(2+\beta )q^{4}+(1+\beta )q^{5}+\cdots$$
2667.2.a.j $$7$$ $$21.296$$ 7.7.118870813.1 None None $$-2$$ $$7$$ $$-8$$ $$7$$ $$+$$ $$q+\beta _{4}q^{2}+q^{3}+(\beta _{1}+\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{4}+\cdots$$
2667.2.a.k $$11$$ $$21.296$$ $$\mathbb{Q}[x]/(x^{11} - \cdots)$$ None None $$-2$$ $$11$$ $$1$$ $$-11$$ $$+$$ $$q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{7}q^{5}+\cdots$$
2667.2.a.l $$13$$ $$21.296$$ $$\mathbb{Q}[x]/(x^{13} - \cdots)$$ None None $$4$$ $$-13$$ $$12$$ $$13$$ $$-$$ $$q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{10}+\cdots)q^{5}+\cdots$$
2667.2.a.m $$14$$ $$21.296$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$-5$$ $$-14$$ $$-4$$ $$-14$$ $$+$$ $$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{3}q^{5}+\cdots$$
2667.2.a.n $$16$$ $$21.296$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$4$$ $$16$$ $$5$$ $$-16$$ $$-$$ $$q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{7}q^{5}+\cdots$$
2667.2.a.o $$16$$ $$21.296$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$5$$ $$-16$$ $$-1$$ $$-16$$ $$-$$ $$q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{13}q^{5}+\cdots$$
2667.2.a.p $$18$$ $$21.296$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$-6$$ $$-18$$ $$-10$$ $$18$$ $$+$$ $$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{12}+\cdots)q^{5}+\cdots$$
2667.2.a.q $$19$$ $$21.296$$ $$\mathbb{Q}[x]/(x^{19} - \cdots)$$ None None $$4$$ $$19$$ $$5$$ $$19$$ $$-$$ $$q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{10}q^{5}+\cdots$$