Results (1-50 of 205 matches)

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
245.2.a.a $$1$$ $$1.956$$ $$\Q$$ None $$-2$$ $$-3$$ $$1$$ $$0$$ $$+$$ $$q-2q^{2}-3q^{3}+2q^{4}+q^{5}+6q^{6}+\cdots$$
245.2.a.b $$1$$ $$1.956$$ $$\Q$$ None $$-2$$ $$3$$ $$-1$$ $$0$$ $$-$$ $$q-2q^{2}+3q^{3}+2q^{4}-q^{5}-6q^{6}+\cdots$$
245.2.a.c $$1$$ $$1.956$$ $$\Q$$ None $$0$$ $$-1$$ $$1$$ $$0$$ $$+$$ $$q-q^{3}-2q^{4}+q^{5}-2q^{9}-3q^{11}+\cdots$$
245.2.a.d $$2$$ $$1.956$$ $$\Q(\sqrt{17})$$ None $$-1$$ $$1$$ $$-2$$ $$0$$ $$-$$ $$q-\beta q^{2}+(1-\beta )q^{3}+(2+\beta )q^{4}-q^{5}+\cdots$$
245.2.a.e $$2$$ $$1.956$$ $$\Q(\sqrt{2})$$ None $$0$$ $$-2$$ $$-2$$ $$0$$ $$+$$ $$q+\beta q^{2}+(-1-\beta )q^{3}-q^{5}+(-2-\beta )q^{6}+\cdots$$
245.2.a.f $$2$$ $$1.956$$ $$\Q(\sqrt{2})$$ None $$0$$ $$2$$ $$2$$ $$0$$ $$-$$ $$q+\beta q^{2}+(1+\beta )q^{3}+q^{5}+(2+\beta )q^{6}+\cdots$$
245.2.a.g $$2$$ $$1.956$$ $$\Q(\sqrt{2})$$ None $$2$$ $$-2$$ $$-2$$ $$0$$ $$-$$ $$q+(1+\beta )q^{2}+(-1+\beta )q^{3}+(1+2\beta )q^{4}+\cdots$$
245.2.a.h $$2$$ $$1.956$$ $$\Q(\sqrt{2})$$ None $$2$$ $$2$$ $$2$$ $$0$$ $$-$$ $$q+(1+\beta )q^{2}+(1-\beta )q^{3}+(1+2\beta )q^{4}+\cdots$$
245.2.b.a $$2$$ $$1.956$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+2iq^{2}+iq^{3}-2q^{4}+(2+i)q^{5}+\cdots$$
245.2.b.b $$2$$ $$1.956$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+iq^{2}-iq^{3}+q^{4}+(-1+2i)q^{5}+\cdots$$
245.2.b.c $$2$$ $$1.956$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+iq^{2}+iq^{3}+q^{4}+(1-2i)q^{5}-q^{6}+\cdots$$
245.2.b.d $$2$$ $$1.956$$ $$\Q(\sqrt{-5})$$ $$\Q(\sqrt{-35})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{3}+2q^{4}+\beta q^{5}-2q^{9}-3q^{11}+\cdots$$
245.2.b.e $$4$$ $$1.956$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{2}+\beta _{2}q^{3}-4q^{4}+(-\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots$$
245.2.b.f $$4$$ $$1.956$$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{2}+(2\zeta_{8}+2\zeta_{8}^{3})q^{3}+q^{4}+\cdots$$
245.2.e.a $$2$$ $$1.956$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$1$$ $$0$$ $$q+(-1+\zeta_{6})q^{3}+(2-2\zeta_{6})q^{4}+\zeta_{6}q^{5}+\cdots$$
245.2.e.b $$2$$ $$1.956$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$-1$$ $$0$$ $$q+(1-\zeta_{6})q^{3}+(2-2\zeta_{6})q^{4}-\zeta_{6}q^{5}+\cdots$$
245.2.e.c $$2$$ $$1.956$$ $$\Q(\sqrt{-3})$$ None $$2$$ $$-3$$ $$1$$ $$0$$ $$q+2\zeta_{6}q^{2}+(-3+3\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{4}+\cdots$$
245.2.e.d $$2$$ $$1.956$$ $$\Q(\sqrt{-3})$$ None $$2$$ $$3$$ $$-1$$ $$0$$ $$q+2\zeta_{6}q^{2}+(3-3\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{4}+\cdots$$
245.2.e.e $$4$$ $$1.956$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None $$-2$$ $$2$$ $$2$$ $$0$$ $$q+(-1+\beta _{1}-\beta _{2})q^{2}+(-\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots$$
245.2.e.f $$4$$ $$1.956$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None $$0$$ $$-2$$ $$-2$$ $$0$$ $$q+\beta _{1}q^{2}+(-\beta _{1}+\beta _{2}-\beta _{3})q^{3}+(-1+\cdots)q^{5}+\cdots$$
245.2.e.g $$4$$ $$1.956$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None $$0$$ $$2$$ $$2$$ $$0$$ $$q+\beta _{1}q^{2}+(\beta _{1}-\beta _{2}+\beta _{3})q^{3}+(1+\beta _{2}+\cdots)q^{5}+\cdots$$
245.2.e.h $$4$$ $$1.956$$ $$\Q(\sqrt{-3}, \sqrt{17})$$ None $$1$$ $$-1$$ $$2$$ $$0$$ $$q+\beta _{1}q^{2}+(-1-\beta _{1}+\beta _{2}-\beta _{3})q^{3}+\cdots$$
245.2.e.i $$4$$ $$1.956$$ $$\Q(\sqrt{-3}, \sqrt{17})$$ None $$1$$ $$1$$ $$-2$$ $$0$$ $$q+\beta _{1}q^{2}+(1+\beta _{1}-\beta _{2}+\beta _{3})q^{3}+(-2+\cdots)q^{4}+\cdots$$
245.2.f.a $$4$$ $$1.956$$ $$\Q(\zeta_{12})$$ None $$2$$ $$-2$$ $$8$$ $$0$$ $$q+(1-\zeta_{12}+\zeta_{12}^{2})q^{2}+(-1+\zeta_{12}+\cdots)q^{3}+\cdots$$
245.2.f.b $$4$$ $$1.956$$ $$\Q(\zeta_{12})$$ None $$2$$ $$2$$ $$-8$$ $$0$$ $$q+(1-\zeta_{12}+\zeta_{12}^{2})q^{2}+(1-\zeta_{12}+\zeta_{12}^{2}+\cdots)q^{3}+\cdots$$
245.2.f.c $$24$$ $$1.956$$ None $$0$$ $$0$$ $$0$$ $$0$$
245.2.j.a $$4$$ $$1.956$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None $$0$$ $$-6$$ $$6$$ $$0$$ $$q+(\beta _{1}-\beta _{3})q^{2}+(-1+\beta _{2})q^{3}+(4+4\beta _{2}+\cdots)q^{4}+\cdots$$
245.2.j.b $$4$$ $$1.956$$ $$\Q(\sqrt{-3}, \sqrt{-5})$$ $$\Q(\sqrt{-35})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+(-2+2\beta _{2})q^{4}+(-\beta _{1}+\beta _{3})q^{5}+\cdots$$
245.2.j.c $$4$$ $$1.956$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+\zeta_{12}q^{2}+(\zeta_{12}-\zeta_{12}^{3})q^{3}-\zeta_{12}^{2}q^{4}+\cdots$$
245.2.j.d $$4$$ $$1.956$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+2\zeta_{12}q^{2}+(-\zeta_{12}+\zeta_{12}^{3})q^{3}+2\zeta_{12}^{2}q^{4}+\cdots$$
245.2.j.e $$4$$ $$1.956$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+2\zeta_{12}q^{2}+(\zeta_{12}-\zeta_{12}^{3})q^{3}+2\zeta_{12}^{2}q^{4}+\cdots$$
245.2.j.f $$4$$ $$1.956$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None $$0$$ $$6$$ $$-6$$ $$0$$ $$q+(\beta _{1}-\beta _{3})q^{2}+(1-\beta _{2})q^{3}+(4+4\beta _{2}+\cdots)q^{4}+\cdots$$
245.2.j.g $$8$$ $$1.956$$ $$\Q(\zeta_{24})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{24}^{2}-\zeta_{24}^{6})q^{2}+(2\zeta_{24}^{3}+2\zeta_{24}^{5}+\cdots)q^{3}+\cdots$$
245.2.k.a $$54$$ $$1.956$$ None $$1$$ $$-2$$ $$9$$ $$-1$$
245.2.k.b $$66$$ $$1.956$$ None $$-1$$ $$-2$$ $$-11$$ $$-5$$
245.2.l.a $$4$$ $$1.956$$ $$\Q(\zeta_{12})$$ None $$-4$$ $$2$$ $$4$$ $$0$$ $$q+(-1+\zeta_{12})q^{2}+(\zeta_{12}^{2}-\zeta_{12}^{3})q^{3}+\cdots$$
245.2.l.b $$4$$ $$1.956$$ $$\Q(\zeta_{12})$$ None $$2$$ $$4$$ $$-4$$ $$0$$ $$q+(1-\zeta_{12}^{2}-\zeta_{12}^{3})q^{2}+(1+\zeta_{12}+\cdots)q^{3}+\cdots$$
245.2.l.c $$8$$ $$1.956$$ 8.0.3317760000.2 None $$4$$ $$0$$ $$0$$ $$0$$ $$q+(1-\beta _{2}-\beta _{4})q^{2}+\beta _{1}q^{3}+\beta _{5}q^{5}+\cdots$$
245.2.l.d $$48$$ $$1.956$$ None $$0$$ $$0$$ $$0$$ $$0$$
245.2.p.a $$12$$ $$1.956$$ $$\Q(\zeta_{28})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-\zeta_{28}^{9}q^{2}+(-2\zeta_{28}^{3}+\zeta_{28}^{5}-\zeta_{28}^{7}+\cdots)q^{3}+\cdots$$
245.2.p.b $$144$$ $$1.956$$ None $$0$$ $$0$$ $$-1$$ $$0$$
245.2.q.a $$96$$ $$1.956$$ None $$-1$$ $$1$$ $$-8$$ $$0$$
245.2.q.b $$120$$ $$1.956$$ None $$1$$ $$1$$ $$10$$ $$-2$$
245.2.s.a $$312$$ $$1.956$$ None $$-10$$ $$-14$$ $$-14$$ $$-18$$
245.2.t.a $$312$$ $$1.956$$ None $$0$$ $$0$$ $$-12$$ $$0$$
245.2.x.a $$624$$ $$1.956$$ None $$-26$$ $$-22$$ $$-28$$ $$-18$$
245.3.c.a $$12$$ $$6.676$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{2}+\beta _{9}q^{3}+(-1+\beta _{1})q^{4}+(-\beta _{5}+\cdots)q^{5}+\cdots$$
245.3.c.b $$24$$ $$6.676$$ None $$0$$ $$0$$ $$0$$ $$0$$
245.3.d.a $$12$$ $$6.676$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$4$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}-\beta _{11}q^{3}+(2-\beta _{5}+\beta _{6})q^{4}+\cdots$$
245.3.d.b $$16$$ $$6.676$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$-8$$ $$0$$ $$0$$ $$0$$ $$q+(-1+\beta _{2})q^{2}+\beta _{6}q^{3}+(3-\beta _{1})q^{4}+\cdots$$