## Results (1-50 of 321 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
441.1.b.a $$2$$ $$0.220$$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta q^{2}-q^{4}-\beta q^{11}-q^{16}-2q^{22}+\cdots$$
441.1.m.a $$2$$ $$0.220$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-7})$$ $$\Q(\sqrt{21})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{4}-\zeta_{6}q^{16}+\zeta_{6}^{2}q^{25}+\zeta_{6}q^{37}+\cdots$$
441.1.q.a $$4$$ $$0.220$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{2}q^{4}+(-\beta _{1}+\beta _{3})q^{11}+\cdots$$
441.1.v.a $$6$$ $$0.220$$ $$\Q(\zeta_{14})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q-\zeta_{14}^{4}q^{4}-\zeta_{14}^{2}q^{7}+(\zeta_{14}-\zeta_{14}^{3}+\cdots)q^{13}+\cdots$$
441.2.a.a $$1$$ $$3.521$$ $$\Q$$ None None $$-2$$ $$0$$ $$-2$$ $$0$$ $$+$$ $$q-2q^{2}+2q^{4}-2q^{5}+4q^{10}+2q^{11}+\cdots$$
441.2.a.b $$1$$ $$3.521$$ $$\Q$$ None None $$-2$$ $$0$$ $$2$$ $$0$$ $$-$$ $$q-2q^{2}+2q^{4}+2q^{5}-4q^{10}+2q^{11}+\cdots$$
441.2.a.c $$1$$ $$3.521$$ $$\Q$$ $$\Q(\sqrt{-7})$$ None $$-1$$ $$0$$ $$0$$ $$0$$ $$+$$ $$q-q^{2}-q^{4}+3q^{8}-4q^{11}-q^{16}+\cdots$$
441.2.a.d $$1$$ $$3.521$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$q-2q^{4}-7q^{13}+4q^{16}-7q^{19}-5q^{25}+\cdots$$
441.2.a.e $$1$$ $$3.521$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q-2q^{4}+7q^{13}+4q^{16}+7q^{19}-5q^{25}+\cdots$$
441.2.a.f $$1$$ $$3.521$$ $$\Q$$ None None $$1$$ $$0$$ $$-2$$ $$0$$ $$+$$ $$q+q^{2}-q^{4}-2q^{5}-3q^{8}-2q^{10}+\cdots$$
441.2.a.g $$2$$ $$3.521$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q+\beta q^{2}+q^{4}+2\beta q^{5}-\beta q^{8}+6q^{10}+\cdots$$
441.2.a.h $$2$$ $$3.521$$ $$\Q(\sqrt{7})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q+\beta q^{2}+5q^{4}+3\beta q^{8}-2\beta q^{11}+11q^{16}+\cdots$$
441.2.a.i $$2$$ $$3.521$$ $$\Q(\sqrt{2})$$ None None $$2$$ $$0$$ $$-4$$ $$0$$ $$-$$ $$q+(1+\beta )q^{2}+(1+2\beta )q^{4}+(-2+\beta )q^{5}+\cdots$$
441.2.a.j $$2$$ $$3.521$$ $$\Q(\sqrt{2})$$ None None $$2$$ $$0$$ $$4$$ $$0$$ $$-$$ $$q+(1+\beta )q^{2}+(1+2\beta )q^{4}+(2-\beta )q^{5}+\cdots$$
441.2.c.a $$4$$ $$3.521$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+\beta _{3}q^{5}-2\beta _{1}q^{8}-2\beta _{2}q^{10}+\cdots$$
441.2.c.b $$8$$ $$3.521$$ $$\Q(\zeta_{16})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{16}-\zeta_{16}^{2})q^{2}+(-1+2\zeta_{16}^{3}+\cdots)q^{4}+\cdots$$
441.2.e.a $$2$$ $$3.521$$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$0$$ $$-2$$ $$0$$ $$q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{4}-2\zeta_{6}q^{5}-3q^{8}+\cdots$$
441.2.e.b $$2$$ $$3.521$$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$0$$ $$2$$ $$0$$ $$q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{4}+2\zeta_{6}q^{5}-3q^{8}+\cdots$$
441.2.e.c $$2$$ $$3.521$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(2-2\zeta_{6})q^{4}+7q^{13}-4\zeta_{6}q^{16}+\cdots$$
441.2.e.d $$2$$ $$3.521$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-7})$$ None $$1$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{4}+3q^{8}+(4-4\zeta_{6})q^{11}+\cdots$$
441.2.e.e $$2$$ $$3.521$$ $$\Q(\sqrt{-3})$$ None None $$2$$ $$0$$ $$2$$ $$0$$ $$q+2\zeta_{6}q^{2}+(-2+2\zeta_{6})q^{4}+2\zeta_{6}q^{5}+\cdots$$
441.2.e.f $$4$$ $$3.521$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$-2$$ $$0$$ $$-4$$ $$0$$ $$q+(-1+\beta _{1}-\beta _{2})q^{2}+(-2\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
441.2.e.g $$4$$ $$3.521$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$-2$$ $$0$$ $$4$$ $$0$$ $$q+(-1+\beta _{1}-\beta _{2})q^{2}+(-2\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
441.2.e.h $$4$$ $$3.521$$ $$\Q(\sqrt{-3}, \sqrt{7})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+5\beta _{2}q^{4}+3\beta _{3}q^{8}+(2\beta _{1}+\cdots)q^{11}+\cdots$$
441.2.e.i $$4$$ $$3.521$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{2}q^{2}+(-1+\zeta_{12})q^{4}-2\zeta_{12}^{2}q^{5}+\cdots$$
441.2.e.j $$4$$ $$3.521$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{2}q^{2}+(-1+\zeta_{12})q^{4}+2\zeta_{12}^{2}q^{5}+\cdots$$
441.2.f.a $$2$$ $$3.521$$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$-3$$ $$-1$$ $$0$$ $$q+(-1+\zeta_{6})q^{2}+(-2+\zeta_{6})q^{3}+\zeta_{6}q^{4}+\cdots$$
441.2.f.b $$2$$ $$3.521$$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$3$$ $$1$$ $$0$$ $$q+(-1+\zeta_{6})q^{2}+(2-\zeta_{6})q^{3}+\zeta_{6}q^{4}+\cdots$$
441.2.f.c $$6$$ $$3.521$$ $$\Q(\zeta_{18})$$ None None $$-3$$ $$0$$ $$3$$ $$0$$ $$q+(-1+\zeta_{18}+\zeta_{18}^{5})q^{2}+(\zeta_{18}^{3}-\zeta_{18}^{5})q^{3}+\cdots$$
441.2.f.d $$6$$ $$3.521$$ 6.0.309123.1 None None $$1$$ $$4$$ $$-5$$ $$0$$ $$q+(-\beta _{1}-\beta _{2}-\beta _{3}+\beta _{5})q^{2}+(-\beta _{2}+\cdots)q^{3}+\cdots$$
441.2.f.e $$10$$ $$3.521$$ 10.0.$$\cdots$$.1 None None $$2$$ $$-1$$ $$4$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{4}q^{3}+(-1-\beta _{2}+\beta _{4}+\cdots)q^{4}+\cdots$$
441.2.f.f $$10$$ $$3.521$$ 10.0.$$\cdots$$.1 None None $$2$$ $$1$$ $$-4$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{4}q^{3}+(-1-\beta _{2}+\beta _{4}+\cdots)q^{4}+\cdots$$
441.2.f.g $$12$$ $$3.521$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{1}+\beta _{6})q^{2}+\beta _{10}q^{3}+(-1-\beta _{2}+\cdots)q^{4}+\cdots$$
441.2.f.h $$24$$ $$3.521$$ None None $$4$$ $$0$$ $$0$$ $$0$$
441.2.g.a $$2$$ $$3.521$$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$3$$ $$2$$ $$0$$ $$q+(-1+\zeta_{6})q^{2}+(2-\zeta_{6})q^{3}+\zeta_{6}q^{4}+\cdots$$
441.2.g.b $$6$$ $$3.521$$ $$\Q(\zeta_{18})$$ None None $$-3$$ $$0$$ $$-6$$ $$0$$ $$q+(-1+\zeta_{18}+\zeta_{18}^{5})q^{2}+(\zeta_{18}^{2}+\zeta_{18}^{4}+\cdots)q^{3}+\cdots$$
441.2.g.c $$6$$ $$3.521$$ $$\Q(\zeta_{18})$$ None None $$-3$$ $$0$$ $$6$$ $$0$$ $$q+(-1+\zeta_{18}+\zeta_{18}^{5})q^{2}+(-\zeta_{18}^{2}+\cdots)q^{3}+\cdots$$
441.2.g.d $$6$$ $$3.521$$ 6.0.309123.1 None None $$1$$ $$-2$$ $$10$$ $$0$$ $$q+(-\beta _{1}-\beta _{2}-\beta _{3}+\beta _{5})q^{2}+(-1+\cdots)q^{3}+\cdots$$
441.2.g.e $$6$$ $$3.521$$ 6.0.309123.1 None None $$1$$ $$2$$ $$-10$$ $$0$$ $$q+(-\beta _{1}-\beta _{2}-\beta _{3}+\beta _{5})q^{2}+(1-\beta _{1}+\cdots)q^{3}+\cdots$$
441.2.g.f $$10$$ $$3.521$$ 10.0.$$\cdots$$.1 None None $$2$$ $$-2$$ $$8$$ $$0$$ $$q+\beta _{1}q^{2}+(-\beta _{2}+\beta _{7})q^{3}+(-1-\beta _{2}+\cdots)q^{4}+\cdots$$
441.2.g.g $$12$$ $$3.521$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{2}+\beta _{5})q^{2}+(-\beta _{8}-\beta _{10})q^{3}+\cdots$$
441.2.g.h $$24$$ $$3.521$$ None None $$4$$ $$0$$ $$0$$ $$0$$
441.2.h.a $$2$$ $$3.521$$ $$\Q(\sqrt{-3})$$ None None $$2$$ $$0$$ $$-1$$ $$0$$ $$q+q^{2}+(1-2\zeta_{6})q^{3}-q^{4}+(-1+\zeta_{6})q^{5}+\cdots$$
441.2.h.b $$6$$ $$3.521$$ 6.0.309123.1 None None $$-2$$ $$-2$$ $$-5$$ $$0$$ $$q+(\beta _{2}+\beta _{3})q^{2}+(-\beta _{1}-\beta _{2}+\beta _{5})q^{3}+\cdots$$
441.2.h.c $$6$$ $$3.521$$ 6.0.309123.1 None None $$-2$$ $$2$$ $$5$$ $$0$$ $$q+(\beta _{2}+\beta _{3})q^{2}+(\beta _{1}+\beta _{2}-\beta _{5})q^{3}+\cdots$$
441.2.h.d $$6$$ $$3.521$$ $$\Q(\zeta_{18})$$ None None $$6$$ $$0$$ $$-3$$ $$0$$ $$q+(1-\zeta_{18}^{3}-\zeta_{18}^{4})q^{2}+(\zeta_{18}^{2}+\zeta_{18}^{5})q^{3}+\cdots$$
441.2.h.e $$6$$ $$3.521$$ $$\Q(\zeta_{18})$$ None None $$6$$ $$0$$ $$3$$ $$0$$ $$q+(1-\zeta_{18}^{3}-\zeta_{18}^{4})q^{2}+(-\zeta_{18}^{2}+\cdots)q^{3}+\cdots$$
441.2.h.f $$10$$ $$3.521$$ 10.0.$$\cdots$$.1 None None $$-4$$ $$1$$ $$-4$$ $$0$$ $$q+(-\beta _{1}+\beta _{5})q^{2}+\beta _{8}q^{3}+(1-\beta _{4}+\cdots)q^{4}+\cdots$$
441.2.h.g $$12$$ $$3.521$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$4$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}+\beta _{10}q^{3}+(1+\beta _{2}+\beta _{4})q^{4}+\cdots$$
441.2.h.h $$24$$ $$3.521$$ None None $$-8$$ $$0$$ $$0$$ $$0$$