## Results (1-50 of 162 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
567.1.d.a $$1$$ $$0.283$$ $$\Q$$ $$\Q(\sqrt{-7})$$ None $$-1$$ $$0$$ $$0$$ $$1$$ $$q-q^{2}+q^{7}+q^{8}-q^{11}-q^{14}-q^{16}+\cdots$$
567.1.d.b $$1$$ $$0.283$$ $$\Q$$ $$\Q(\sqrt{-7})$$ None $$1$$ $$0$$ $$0$$ $$1$$ $$q+q^{2}+q^{7}-q^{8}+q^{11}+q^{14}-q^{16}+\cdots$$
567.1.d.c $$2$$ $$0.283$$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-\beta q^{2}+2q^{4}-q^{7}-\beta q^{8}+\beta q^{11}+\cdots$$
567.1.j.a $$2$$ $$0.283$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q+q^{4}+\zeta_{6}^{2}q^{7}+\zeta_{6}q^{13}+q^{16}-\zeta_{6}q^{19}+\cdots$$
567.1.k.a $$2$$ $$0.283$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q-\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{7}+(-1+\zeta_{6}^{2})q^{13}+\cdots$$
567.1.l.a $$2$$ $$0.283$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-7})$$ None $$-1$$ $$0$$ $$0$$ $$-1$$ $$q+\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{7}-q^{8}+\zeta_{6}^{2}q^{11}+\cdots$$
567.1.l.b $$2$$ $$0.283$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-7})$$ $$\Q(\sqrt{21})$$ $$0$$ $$0$$ $$0$$ $$1$$ $$q+\zeta_{6}q^{4}-\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{16}+\zeta_{6}^{2}q^{25}+\cdots$$
567.1.l.c $$2$$ $$0.283$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-7})$$ None $$1$$ $$0$$ $$0$$ $$-1$$ $$q-\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{7}+q^{8}-\zeta_{6}^{2}q^{11}+\cdots$$
567.1.l.d $$4$$ $$0.283$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q+(\zeta_{12}+\zeta_{12}^{3})q^{2}+(-1+\zeta_{12}^{2}+\zeta_{12}^{4}+\cdots)q^{4}+\cdots$$
567.1.n.a $$2$$ $$0.283$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q-\zeta_{6}q^{4}-\zeta_{6}q^{7}-\zeta_{6}^{2}q^{13}+\zeta_{6}^{2}q^{16}+\cdots$$
567.1.t.a $$2$$ $$0.283$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q-q^{4}+\zeta_{6}q^{7}+(1+\zeta_{6})q^{13}+q^{16}+\cdots$$
567.2.a.a $$1$$ $$4.528$$ $$\Q$$ None None $$-1$$ $$0$$ $$1$$ $$-1$$ $$+$$ $$q-q^{2}-q^{4}+q^{5}-q^{7}+3q^{8}-q^{10}+\cdots$$
567.2.a.b $$1$$ $$4.528$$ $$\Q$$ None None $$1$$ $$0$$ $$-1$$ $$-1$$ $$+$$ $$q+q^{2}-q^{4}-q^{5}-q^{7}-3q^{8}-q^{10}+\cdots$$
567.2.a.c $$3$$ $$4.528$$ $$\Q(\zeta_{18})^+$$ None None $$-3$$ $$0$$ $$-3$$ $$3$$ $$+$$ $$q+(-1+\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+\cdots$$
567.2.a.d $$3$$ $$4.528$$ 3.3.321.1 None None $$-1$$ $$0$$ $$-5$$ $$-3$$ $$+$$ $$q-\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(-2-\beta _{2})q^{5}+\cdots$$
567.2.a.e $$3$$ $$4.528$$ 3.3.621.1 None None $$0$$ $$0$$ $$-3$$ $$3$$ $$-$$ $$q+\beta _{1}q^{2}+(2+\beta _{1}+\beta _{2})q^{4}+(-1-\beta _{2})q^{5}+\cdots$$
567.2.a.f $$3$$ $$4.528$$ 3.3.621.1 None None $$0$$ $$0$$ $$3$$ $$3$$ $$-$$ $$q-\beta _{1}q^{2}+(2+\beta _{1}+\beta _{2})q^{4}+(1+\beta _{2})q^{5}+\cdots$$
567.2.a.g $$3$$ $$4.528$$ 3.3.321.1 None None $$1$$ $$0$$ $$5$$ $$-3$$ $$-$$ $$q+\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(2+\beta _{2})q^{5}+\cdots$$
567.2.a.h $$3$$ $$4.528$$ $$\Q(\zeta_{18})^+$$ None None $$3$$ $$0$$ $$3$$ $$3$$ $$-$$ $$q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots$$
567.2.a.i $$4$$ $$4.528$$ $$\Q(\sqrt{3}, \sqrt{7})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$-$$ $$q+\beta _{3}q^{2}-\beta _{2}q^{4}-2\beta _{1}q^{5}-q^{7}+(\beta _{1}+\cdots)q^{8}+\cdots$$
567.2.c.a $$8$$ $$4.528$$ 8.0.$$\cdots$$.3 $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(-2+\beta _{2})q^{4}+\beta _{4}q^{7}+(-2\beta _{1}+\cdots)q^{8}+\cdots$$
567.2.c.b $$8$$ $$4.528$$ 8.0.$$\cdots$$.6 None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+(-\beta _{3}-\beta _{5})q^{2}-\beta _{1}q^{4}+\beta _{2}q^{5}+\cdots$$
567.2.c.c $$12$$ $$4.528$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$q-\beta _{2}q^{2}-\beta _{4}q^{4}-\beta _{3}q^{5}+(\beta _{1}-\beta _{6}+\cdots)q^{7}+\cdots$$
567.2.e.a $$2$$ $$4.528$$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$0$$ $$1$$ $$-5$$ $$q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{4}+\zeta_{6}q^{5}+(-2+\cdots)q^{7}+\cdots$$
567.2.e.b $$2$$ $$4.528$$ $$\Q(\sqrt{-3})$$ None None $$1$$ $$0$$ $$-1$$ $$-5$$ $$q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{4}-\zeta_{6}q^{5}+(-2+\cdots)q^{7}+\cdots$$
567.2.e.c $$8$$ $$4.528$$ 8.0.1767277521.3 None None $$-1$$ $$0$$ $$-2$$ $$1$$ $$q+(-\beta _{2}-\beta _{6})q^{2}+(-\beta _{5}+\beta _{7})q^{4}+\cdots$$
567.2.e.d $$8$$ $$4.528$$ 8.0.1767277521.3 None None $$1$$ $$0$$ $$2$$ $$1$$ $$q+(\beta _{2}+\beta _{6})q^{2}+(-\beta _{5}+\beta _{7})q^{4}+(1+\cdots)q^{5}+\cdots$$
567.2.e.e $$10$$ $$4.528$$ 10.0.$$\cdots$$.1 None None $$-2$$ $$0$$ $$-4$$ $$5$$ $$q-\beta _{1}q^{2}+(-\beta _{3}+\beta _{6}+\beta _{7})q^{4}+(-1+\cdots)q^{5}+\cdots$$
567.2.e.f $$10$$ $$4.528$$ 10.0.$$\cdots$$.1 None None $$2$$ $$0$$ $$4$$ $$5$$ $$q+\beta _{1}q^{2}+(-\beta _{3}+\beta _{6}+\beta _{7})q^{4}+(1+\cdots)q^{5}+\cdots$$
567.2.e.g $$16$$ $$4.528$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$6$$ $$q-\beta _{1}q^{2}+(-\beta _{5}-\beta _{7}-\beta _{8}-\beta _{12}+\cdots)q^{4}+\cdots$$
567.2.f.a $$2$$ $$4.528$$ $$\Q(\sqrt{-3})$$ None None $$-2$$ $$0$$ $$-1$$ $$1$$ $$q+(-2+2\zeta_{6})q^{2}-2\zeta_{6}q^{4}-\zeta_{6}q^{5}+\cdots$$
567.2.f.b $$2$$ $$4.528$$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$0$$ $$-2$$ $$1$$ $$q+(-1+\zeta_{6})q^{2}+\zeta_{6}q^{4}-2\zeta_{6}q^{5}+\cdots$$
567.2.f.c $$2$$ $$4.528$$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$0$$ $$1$$ $$1$$ $$q+(-1+\zeta_{6})q^{2}+\zeta_{6}q^{4}+\zeta_{6}q^{5}+(1+\cdots)q^{7}+\cdots$$
567.2.f.d $$2$$ $$4.528$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-3$$ $$-1$$ $$q+2\zeta_{6}q^{4}-3\zeta_{6}q^{5}+(-1+\zeta_{6})q^{7}+\cdots$$
567.2.f.e $$2$$ $$4.528$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$3$$ $$-1$$ $$q+2\zeta_{6}q^{4}+3\zeta_{6}q^{5}+(-1+\zeta_{6})q^{7}+\cdots$$
567.2.f.f $$2$$ $$4.528$$ $$\Q(\sqrt{-3})$$ None None $$1$$ $$0$$ $$-1$$ $$1$$ $$q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{4}-\zeta_{6}q^{5}+(1-\zeta_{6})q^{7}+\cdots$$
567.2.f.g $$2$$ $$4.528$$ $$\Q(\sqrt{-3})$$ None None $$1$$ $$0$$ $$2$$ $$1$$ $$q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{4}+2\zeta_{6}q^{5}+(1+\cdots)q^{7}+\cdots$$
567.2.f.h $$2$$ $$4.528$$ $$\Q(\sqrt{-3})$$ None None $$2$$ $$0$$ $$1$$ $$1$$ $$q+(2-2\zeta_{6})q^{2}-2\zeta_{6}q^{4}+\zeta_{6}q^{5}+(1+\cdots)q^{7}+\cdots$$
567.2.f.i $$4$$ $$4.528$$ $$\Q(\sqrt{-3}, \sqrt{7})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$q+\beta _{1}q^{2}+5\beta _{2}q^{4}+(\beta _{1}+\beta _{3})q^{5}+(1+\cdots)q^{7}+\cdots$$
567.2.f.j $$4$$ $$4.528$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-\zeta_{12}^{2}q^{2}+(-1+\zeta_{12})q^{4}+(-2\zeta_{12}^{2}+\cdots)q^{5}+\cdots$$
567.2.f.k $$4$$ $$4.528$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-\zeta_{12}^{2}q^{2}+(-1+\zeta_{12})q^{4}+(\zeta_{12}^{2}+\cdots)q^{5}+\cdots$$
567.2.f.l $$6$$ $$4.528$$ 6.0.1156923.1 None None $$0$$ $$0$$ $$-3$$ $$-3$$ $$q+\beta _{4}q^{2}+(-\beta _{1}+\beta _{2}-2\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots$$
567.2.f.m $$6$$ $$4.528$$ 6.0.1156923.1 None None $$0$$ $$0$$ $$3$$ $$-3$$ $$q-\beta _{4}q^{2}+(-\beta _{1}+\beta _{2}-2\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots$$
567.2.f.n $$8$$ $$4.528$$ 8.0.49787136.1 None None $$0$$ $$0$$ $$0$$ $$4$$ $$q+\beta _{3}q^{2}+\beta _{4}q^{4}-2\beta _{7}q^{5}+(1-\beta _{5}+\cdots)q^{7}+\cdots$$
567.2.g.a $$2$$ $$4.528$$ $$\Q(\sqrt{-3})$$ None None $$-2$$ $$0$$ $$-4$$ $$1$$ $$q+(-2+2\zeta_{6})q^{2}-2\zeta_{6}q^{4}-2q^{5}+\cdots$$
567.2.g.b $$2$$ $$4.528$$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$0$$ $$-8$$ $$1$$ $$q+(-1+\zeta_{6})q^{2}+\zeta_{6}q^{4}-4q^{5}+(2+\cdots)q^{7}+\cdots$$
567.2.g.c $$2$$ $$4.528$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+2\zeta_{6}q^{4}+(-3+2\zeta_{6})q^{7}+(-2+2\zeta_{6})q^{13}+\cdots$$
567.2.g.d $$2$$ $$4.528$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$5$$ $$q+2\zeta_{6}q^{4}+(3-\zeta_{6})q^{7}+(7-7\zeta_{6})q^{13}+\cdots$$
567.2.g.e $$2$$ $$4.528$$ $$\Q(\sqrt{-3})$$ None None $$1$$ $$0$$ $$8$$ $$1$$ $$q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{4}+4q^{5}+(2-3\zeta_{6})q^{7}+\cdots$$
567.2.g.f $$2$$ $$4.528$$ $$\Q(\sqrt{-3})$$ None None $$2$$ $$0$$ $$4$$ $$1$$ $$q+(2-2\zeta_{6})q^{2}-2\zeta_{6}q^{4}+2q^{5}+(-1+\cdots)q^{7}+\cdots$$