## Results (1-50 of 181 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
324.1.d.a $$1$$ $$0.162$$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$-1$$ $$0$$ $$1$$ $$0$$ $$q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-q^{13}+\cdots$$
324.1.d.b $$1$$ $$0.162$$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$1$$ $$0$$ $$-1$$ $$0$$ $$q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}-q^{13}+\cdots$$
324.1.f.a $$2$$ $$0.162$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-1})$$ None $$-1$$ $$0$$ $$1$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+q^{8}-q^{10}+\cdots$$
324.1.f.b $$2$$ $$0.162$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-1})$$ None $$1$$ $$0$$ $$-1$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{5}-q^{8}-q^{10}+\cdots$$
324.1.g.a $$2$$ $$0.162$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q-\zeta_{6}^{2}q^{7}+\zeta_{6}q^{13}-q^{19}+\zeta_{6}^{2}q^{25}+\cdots$$
324.2.a.a $$1$$ $$2.587$$ $$\Q$$ None None $$0$$ $$0$$ $$-3$$ $$-1$$ $$+$$ $$q-3q^{5}-q^{7}-3q^{11}-q^{13}-6q^{17}+\cdots$$
324.2.a.b $$1$$ $$2.587$$ $$\Q$$ None None $$0$$ $$0$$ $$-3$$ $$2$$ $$-$$ $$q-3q^{5}+2q^{7}+6q^{11}+5q^{13}+3q^{17}+\cdots$$
324.2.a.c $$1$$ $$2.587$$ $$\Q$$ None None $$0$$ $$0$$ $$3$$ $$-1$$ $$-$$ $$q+3q^{5}-q^{7}+3q^{11}-q^{13}+6q^{17}+\cdots$$
324.2.a.d $$1$$ $$2.587$$ $$\Q$$ None None $$0$$ $$0$$ $$3$$ $$2$$ $$-$$ $$q+3q^{5}+2q^{7}-6q^{11}+5q^{13}-3q^{17}+\cdots$$
324.2.b.a $$4$$ $$2.587$$ $$\Q(\sqrt{-2}, \sqrt{3})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-2q^{4}-\beta _{2}q^{5}-2\beta _{1}q^{8}+\cdots$$
324.2.b.b $$8$$ $$2.587$$ 8.0.170772624.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{2}-\beta _{2}q^{4}+(\beta _{3}-\beta _{4}+\beta _{7})q^{5}+\cdots$$
324.2.b.c $$8$$ $$2.587$$ 8.0.5780865024.3 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(\beta _{3}+\beta _{5})q^{5}+\cdots$$
324.2.e.a $$2$$ $$2.587$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-3$$ $$-2$$ $$q-3\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{7}+(6-6\zeta_{6})q^{11}+\cdots$$
324.2.e.b $$2$$ $$2.587$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-5$$ $$q+(-5+5\zeta_{6})q^{7}+7\zeta_{6}q^{13}-q^{19}+\cdots$$
324.2.e.c $$2$$ $$2.587$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q+(4-4\zeta_{6})q^{7}-2\zeta_{6}q^{13}+8q^{19}+\cdots$$
324.2.e.d $$2$$ $$2.587$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$3$$ $$-2$$ $$q+3\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{7}+(-6+6\zeta_{6})q^{11}+\cdots$$
324.2.h.a $$4$$ $$2.587$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$6$$ $$q-\beta _{3}q^{2}-2q^{4}+2\beta _{1}q^{5}+(2-\beta _{2}+\cdots)q^{7}+\cdots$$
324.2.h.b $$4$$ $$2.587$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$-6$$ $$q+\beta _{1}q^{2}+2\beta _{2}q^{4}+2\beta _{1}q^{5}+(-2+\cdots)q^{7}+\cdots$$
324.2.h.c $$4$$ $$2.587$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}-\beta _{3})q^{2}+(2-2\beta _{2})q^{4}+\beta _{1}q^{5}+\cdots$$
324.2.h.d $$8$$ $$2.587$$ 8.0.12960000.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{3}+\beta _{7})q^{2}+(-\beta _{1}-\beta _{2})q^{4}+\cdots$$
324.2.h.e $$8$$ $$2.587$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{3}q^{2}+(2-2\zeta_{24})q^{4}+(\zeta_{24}^{5}+\cdots)q^{5}+\cdots$$
324.2.h.f $$16$$ $$2.587$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{15}q^{2}+(-1+\beta _{8}-\beta _{9}-\beta _{11}+\cdots)q^{4}+\cdots$$
324.2.i.a $$18$$ $$2.587$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$0$$ $$0$$ $$-3$$ $$0$$ $$q+(-\beta _{1}-\beta _{3})q^{5}+(-\beta _{8}-\beta _{9}-\beta _{10}+\cdots)q^{7}+\cdots$$
324.2.l.a $$96$$ $$2.587$$ None None $$6$$ $$0$$ $$12$$ $$0$$
324.2.m.a $$162$$ $$2.587$$ None None $$0$$ $$0$$ $$0$$ $$0$$
324.2.p.a $$936$$ $$2.587$$ None None $$-18$$ $$0$$ $$-36$$ $$0$$
324.3.c.a $$4$$ $$8.828$$ $$\Q(\sqrt{-2}, \sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+\beta _{1}q^{5}+(-1+\beta _{2})q^{7}-\beta _{3}q^{11}+\cdots$$
324.3.c.b $$4$$ $$8.828$$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$q+\beta _{1}q^{5}+(1-\beta _{2})q^{7}+(-\beta _{1}+\beta _{3})q^{11}+\cdots$$
324.3.d.a $$2$$ $$8.828$$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-1})$$ None $$-4$$ $$0$$ $$-8$$ $$0$$ $$q-2q^{2}+4q^{4}+(-4+\beta )q^{5}-8q^{8}+\cdots$$
324.3.d.b $$2$$ $$8.828$$ $$\Q(\sqrt{-3})$$ None None $$-2$$ $$0$$ $$8$$ $$0$$ $$q+(-1-\zeta_{6})q^{2}+(-2+2\zeta_{6})q^{4}+4q^{5}+\cdots$$
324.3.d.c $$2$$ $$8.828$$ $$\Q(\sqrt{-3})$$ None None $$2$$ $$0$$ $$-8$$ $$0$$ $$q+(1+\zeta_{6})q^{2}+(-2+2\zeta_{6})q^{4}-4q^{5}+\cdots$$
324.3.d.d $$2$$ $$8.828$$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-1})$$ None $$4$$ $$0$$ $$8$$ $$0$$ $$q+2q^{2}+4q^{4}+(4+\beta )q^{5}+8q^{8}+(8+\cdots)q^{10}+\cdots$$
324.3.d.e $$6$$ $$8.828$$ 6.0.3636603.2 None None $$-1$$ $$0$$ $$-2$$ $$0$$ $$q-\beta _{3}q^{2}-\beta _{1}q^{4}+(-\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{5}+\cdots$$
324.3.d.f $$6$$ $$8.828$$ 6.0.3636603.2 None None $$1$$ $$0$$ $$2$$ $$0$$ $$q-\beta _{1}q^{2}-\beta _{2}q^{4}+(-\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{5}+\cdots$$
324.3.d.g $$8$$ $$8.828$$ 8.0.$$\cdots$$.1 None None $$-3$$ $$0$$ $$6$$ $$0$$ $$q-\beta _{1}q^{2}+(\beta _{1}+\beta _{2}+\beta _{5}-\beta _{6})q^{4}+\cdots$$
324.3.d.h $$8$$ $$8.828$$ 8.0.$$\cdots$$.4 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{2}+(-1-\beta _{6})q^{4}+(-2\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots$$
324.3.d.i $$8$$ $$8.828$$ 8.0.$$\cdots$$.1 None None $$3$$ $$0$$ $$-6$$ $$0$$ $$q+\beta _{6}q^{2}+(-\beta _{1}+\beta _{2}+\beta _{4}+\beta _{6})q^{4}+\cdots$$
324.3.f.a $$2$$ $$8.828$$ $$\Q(\sqrt{-3})$$ None None $$-4$$ $$0$$ $$-2$$ $$12$$ $$q-2q^{2}+4q^{4}+(-2+2\zeta_{6})q^{5}+(8+\cdots)q^{7}+\cdots$$
324.3.f.b $$2$$ $$8.828$$ $$\Q(\sqrt{-3})$$ None None $$-4$$ $$0$$ $$7$$ $$-15$$ $$q-2q^{2}+4q^{4}+(7-7\zeta_{6})q^{5}+(-10+\cdots)q^{7}+\cdots$$
324.3.f.c $$2$$ $$8.828$$ $$\Q(\sqrt{-3})$$ None None $$-2$$ $$0$$ $$-7$$ $$15$$ $$q+(-2+2\zeta_{6})q^{2}-4\zeta_{6}q^{4}+(-7+7\zeta_{6})q^{5}+\cdots$$
324.3.f.d $$2$$ $$8.828$$ $$\Q(\sqrt{-3})$$ None None $$-2$$ $$0$$ $$2$$ $$-12$$ $$q+(-2+2\zeta_{6})q^{2}-4\zeta_{6}q^{4}+(2-2\zeta_{6})q^{5}+\cdots$$
324.3.f.e $$2$$ $$8.828$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$0$$ $$8$$ $$0$$ $$q-2\zeta_{6}q^{2}+(-4+4\zeta_{6})q^{4}+(8-8\zeta_{6})q^{5}+\cdots$$
324.3.f.f $$2$$ $$8.828$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$-8$$ $$0$$ $$q+2\zeta_{6}q^{2}+(-4+4\zeta_{6})q^{4}+(-8+8\zeta_{6})q^{5}+\cdots$$
324.3.f.g $$2$$ $$8.828$$ $$\Q(\sqrt{-3})$$ None None $$2$$ $$0$$ $$-2$$ $$-12$$ $$q+(2-2\zeta_{6})q^{2}-4\zeta_{6}q^{4}+(-2+2\zeta_{6})q^{5}+\cdots$$
324.3.f.h $$2$$ $$8.828$$ $$\Q(\sqrt{-3})$$ None None $$2$$ $$0$$ $$7$$ $$15$$ $$q+(2-2\zeta_{6})q^{2}-4\zeta_{6}q^{4}+(7-7\zeta_{6})q^{5}+\cdots$$
324.3.f.i $$2$$ $$8.828$$ $$\Q(\sqrt{-3})$$ None None $$4$$ $$0$$ $$-7$$ $$-15$$ $$q+2q^{2}+4q^{4}+(-7+7\zeta_{6})q^{5}+(-10+\cdots)q^{7}+\cdots$$
324.3.f.j $$2$$ $$8.828$$ $$\Q(\sqrt{-3})$$ None None $$4$$ $$0$$ $$2$$ $$12$$ $$q+2q^{2}+4q^{4}+(2-2\zeta_{6})q^{5}+(8-4\zeta_{6})q^{7}+\cdots$$
324.3.f.k $$4$$ $$8.828$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$-4$$ $$0$$ $$-8$$ $$0$$ $$q+(-2+2\zeta_{12})q^{2}-4\zeta_{12}q^{4}+(-4\zeta_{12}+\cdots)q^{5}+\cdots$$
324.3.f.l $$4$$ $$8.828$$ $$\Q(\sqrt{-3}, \sqrt{13})$$ None None $$-3$$ $$0$$ $$0$$ $$0$$ $$q+(-1+\beta _{1})q^{2}+(-\beta _{1}+3\beta _{2}+\beta _{3})q^{4}+\cdots$$
324.3.f.m $$4$$ $$8.828$$ $$\Q(\sqrt{-3}, \sqrt{13})$$ None None $$3$$ $$0$$ $$0$$ $$0$$ $$q+(1-\beta _{1})q^{2}+(-\beta _{1}+3\beta _{2}+\beta _{3})q^{4}+\cdots$$