Results (1-50 of 204 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
325.1.u.a $$8$$ $$0.162$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{5}q^{2}-\zeta_{24}^{11}q^{3}-\zeta_{24}^{4}q^{6}+\cdots$$
325.2.a.a $$1$$ $$2.595$$ $$\Q$$ None None $$-2$$ $$-1$$ $$0$$ $$-2$$ $$-$$ $$q-2q^{2}-q^{3}+2q^{4}+2q^{6}-2q^{7}+\cdots$$
325.2.a.b $$1$$ $$2.595$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$4$$ $$+$$ $$q-q^{3}-2q^{4}+4q^{7}-2q^{9}-6q^{11}+\cdots$$
325.2.a.c $$1$$ $$2.595$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$-4$$ $$+$$ $$q+q^{3}-2q^{4}-4q^{7}-2q^{9}-6q^{11}+\cdots$$
325.2.a.d $$1$$ $$2.595$$ $$\Q$$ None None $$1$$ $$2$$ $$0$$ $$4$$ $$-$$ $$q+q^{2}+2q^{3}-q^{4}+2q^{6}+4q^{7}-3q^{8}+\cdots$$
325.2.a.e $$1$$ $$2.595$$ $$\Q$$ None None $$2$$ $$1$$ $$0$$ $$2$$ $$-$$ $$q+2q^{2}+q^{3}+2q^{4}+2q^{6}+2q^{7}+\cdots$$
325.2.a.f $$2$$ $$2.595$$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$0$$ $$0$$ $$-2$$ $$-$$ $$q+(-1+\beta )q^{2}-2\beta q^{3}+(1-2\beta )q^{4}+\cdots$$
325.2.a.g $$2$$ $$2.595$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$-2$$ $$0$$ $$-4$$ $$+$$ $$q+\beta q^{2}+(-1-\beta )q^{3}+q^{4}+(-3-\beta )q^{6}+\cdots$$
325.2.a.h $$2$$ $$2.595$$ $$\Q(\sqrt{2})$$ None None $$2$$ $$0$$ $$0$$ $$2$$ $$-$$ $$q+(1+\beta )q^{2}-2\beta q^{3}+(1+2\beta )q^{4}+(-4+\cdots)q^{6}+\cdots$$
325.2.a.i $$2$$ $$2.595$$ $$\Q(\sqrt{2})$$ None None $$2$$ $$0$$ $$0$$ $$-4$$ $$-$$ $$q+(1+\beta )q^{2}+\beta q^{3}+(1+2\beta )q^{4}+(2+\cdots)q^{6}+\cdots$$
325.2.a.j $$3$$ $$2.595$$ 3.3.148.1 None None $$-3$$ $$-4$$ $$0$$ $$-2$$ $$+$$ $$q+(-1-\beta _{2})q^{2}+(-1-\beta _{1})q^{3}+(2+\cdots)q^{4}+\cdots$$
325.2.a.k $$3$$ $$2.595$$ 3.3.148.1 None None $$3$$ $$4$$ $$0$$ $$2$$ $$-$$ $$q+(1+\beta _{2})q^{2}+(1+\beta _{1})q^{3}+(2-\beta _{1}+\cdots)q^{4}+\cdots$$
325.2.b.a $$2$$ $$2.595$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{2}-iq^{3}-2q^{4}+2q^{6}+2iq^{7}+\cdots$$
325.2.b.b $$2$$ $$2.595$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-2iq^{3}+q^{4}+2q^{6}+4iq^{7}+\cdots$$
325.2.b.c $$2$$ $$2.595$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}+2q^{4}+4iq^{7}+2q^{9}-6q^{11}+\cdots$$
325.2.b.d $$4$$ $$2.595$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{8}+\zeta_{8}^{2})q^{2}+2\zeta_{8}^{2}q^{3}+(-1-2\zeta_{8}^{3})q^{4}+\cdots$$
325.2.b.e $$4$$ $$2.595$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{2}q^{2}+(-\zeta_{12}-\zeta_{12}^{2})q^{3}-q^{4}+\cdots$$
325.2.b.f $$4$$ $$2.595$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{8}+\zeta_{8}^{2})q^{2}-\zeta_{8}^{2}q^{3}+(-1-2\zeta_{8}^{3})q^{4}+\cdots$$
325.2.c.a $$2$$ $$2.595$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+iq^{2}-2q^{3}+q^{4}-2iq^{6}-5iq^{7}+\cdots$$
325.2.c.b $$2$$ $$2.595$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+iq^{2}-2q^{3}+q^{4}-2iq^{6}+3iq^{8}+\cdots$$
325.2.c.c $$2$$ $$2.595$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+iq^{2}-q^{3}-2q^{4}-iq^{6}+iq^{7}+\cdots$$
325.2.c.d $$2$$ $$2.595$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+iq^{2}+q^{3}-2q^{4}+iq^{6}+iq^{7}+\cdots$$
325.2.c.e $$2$$ $$2.595$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+iq^{2}+2q^{3}+q^{4}+2iq^{6}+3iq^{8}+\cdots$$
325.2.c.f $$2$$ $$2.595$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+iq^{2}+2q^{3}+q^{4}+2iq^{6}-5iq^{7}+\cdots$$
325.2.c.g $$6$$ $$2.595$$ 6.0.5089536.1 None None $$0$$ $$4$$ $$0$$ $$0$$ $$q-\beta _{4}q^{2}+(1+\beta _{1})q^{3}+(-2+\beta _{3})q^{4}+\cdots$$
325.2.d.a $$2$$ $$2.595$$ $$\Q(\sqrt{-1})$$ None None $$-4$$ $$0$$ $$0$$ $$-4$$ $$q-2q^{2}+iq^{3}+2q^{4}-2iq^{6}-2q^{7}+\cdots$$
325.2.d.b $$2$$ $$2.595$$ $$\Q(\sqrt{-1})$$ None None $$-2$$ $$0$$ $$0$$ $$10$$ $$q-q^{2}+2iq^{3}-q^{4}-2iq^{6}+5q^{7}+\cdots$$
325.2.d.c $$2$$ $$2.595$$ $$\Q(\sqrt{-1})$$ None None $$2$$ $$0$$ $$0$$ $$-10$$ $$q+q^{2}+2iq^{3}-q^{4}+2iq^{6}-5q^{7}+\cdots$$
325.2.d.d $$2$$ $$2.595$$ $$\Q(\sqrt{-1})$$ None None $$4$$ $$0$$ $$0$$ $$4$$ $$q+2q^{2}+iq^{3}+2q^{4}+2iq^{6}+2q^{7}+\cdots$$
325.2.d.e $$6$$ $$2.595$$ 6.0.5089536.1 None None $$-2$$ $$0$$ $$0$$ $$4$$ $$q-\beta _{1}q^{2}-\beta _{5}q^{3}+(2-\beta _{3})q^{4}+(\beta _{2}+\cdots)q^{6}+\cdots$$
325.2.d.f $$6$$ $$2.595$$ 6.0.5089536.1 None None $$2$$ $$0$$ $$0$$ $$-4$$ $$q+\beta _{1}q^{2}-\beta _{5}q^{3}+(2-\beta _{3})q^{4}+(-\beta _{2}+\cdots)q^{6}+\cdots$$
325.2.e.a $$4$$ $$2.595$$ $$\Q(\sqrt{-3}, \sqrt{13})$$ None None $$-1$$ $$2$$ $$0$$ $$-2$$ $$q-\beta _{1}q^{2}+(1+\beta _{2})q^{3}+(-1+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
325.2.e.b $$4$$ $$2.595$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None None $$1$$ $$0$$ $$0$$ $$4$$ $$q+\beta _{1}q^{2}+(1-2\beta _{1}+\beta _{3})q^{3}+(\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
325.2.e.c $$10$$ $$2.595$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None None $$0$$ $$-3$$ $$0$$ $$2$$ $$q+\beta _{1}q^{2}+(-1-\beta _{4}+\beta _{6}+\beta _{8})q^{3}+\cdots$$
325.2.e.d $$10$$ $$2.595$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None None $$0$$ $$3$$ $$0$$ $$-2$$ $$q-\beta _{1}q^{2}+(1+\beta _{4}-\beta _{6}-\beta _{8})q^{3}+(-\beta _{6}+\cdots)q^{4}+\cdots$$
325.2.e.e $$12$$ $$2.595$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{6}q^{2}+(\beta _{6}-\beta _{11})q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots$$
325.2.f.a $$2$$ $$2.595$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$0$$ $$4$$ $$q-iq^{2}+(-1+i)q^{3}+q^{4}+(1+i)q^{6}+\cdots$$
325.2.f.b $$8$$ $$2.595$$ 8.0.619810816.2 None None $$0$$ $$6$$ $$0$$ $$0$$ $$q-\beta _{6}q^{2}+(1+\beta _{2}-\beta _{3})q^{3}+(-1-\beta _{4}+\cdots)q^{4}+\cdots$$
325.2.f.c $$12$$ $$2.595$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{7}q^{2}-\beta _{4}q^{3}+(-2+\beta _{5})q^{4}+(-1+\cdots)q^{6}+\cdots$$
325.2.f.d $$16$$ $$2.595$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{13}q^{2}+\beta _{3}q^{3}+\beta _{1}q^{4}+(1+\beta _{4}+\cdots)q^{6}+\cdots$$
325.2.k.a $$2$$ $$2.595$$ $$\Q(\sqrt{-1})$$ None None $$-2$$ $$-2$$ $$0$$ $$0$$ $$q-q^{2}+(-1-i)q^{3}-q^{4}+(1+i)q^{6}+\cdots$$
325.2.k.b $$8$$ $$2.595$$ 8.0.619810816.2 None None $$4$$ $$6$$ $$0$$ $$0$$ $$q-\beta _{5}q^{2}+(1+\beta _{2}-\beta _{3})q^{3}+(1+\beta _{4}+\cdots)q^{4}+\cdots$$
325.2.k.c $$12$$ $$2.595$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}+\beta _{4}q^{3}+(2-\beta _{5})q^{4}+(-1+\cdots)q^{6}+\cdots$$
325.2.k.d $$16$$ $$2.595$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{12}q^{2}+\beta _{3}q^{3}-\beta _{1}q^{4}+(1-\beta _{4}+\cdots)q^{6}+\cdots$$
325.2.l.a $$4$$ $$2.595$$ $$\Q(\zeta_{10})$$ None None $$3$$ $$4$$ $$-5$$ $$-2$$ $$q+(1-\zeta_{10}^{3})q^{2}+(1-\zeta_{10}+\zeta_{10}^{3})q^{3}+\cdots$$
325.2.l.b $$56$$ $$2.595$$ None None $$0$$ $$-2$$ $$9$$ $$-20$$
325.2.l.c $$60$$ $$2.595$$ None None $$-3$$ $$-6$$ $$2$$ $$10$$
325.2.m.a $$4$$ $$2.595$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{12}-\zeta_{12}^{3})q^{2}+(-2\zeta_{12}+2\zeta_{12}^{3})q^{3}+\cdots$$
325.2.m.b $$8$$ $$2.595$$ 8.0.22581504.2 None None $$-2$$ $$6$$ $$0$$ $$10$$ $$q+(1-\beta _{1}-\beta _{3}-\beta _{6})q^{2}+(2-\beta _{3}-\beta _{4}+\cdots)q^{3}+\cdots$$
325.2.m.c $$8$$ $$2.595$$ 8.0.22581504.2 None None $$2$$ $$-6$$ $$0$$ $$-10$$ $$q+(-1+\beta _{1}+\beta _{3}+\beta _{6})q^{2}+(-2+\beta _{3}+\cdots)q^{3}+\cdots$$