## Results (1-50 of 193 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
275.1.c.a $$1$$ $$0.137$$ $$\Q$$ $$\Q(\sqrt{-11})$$, $$\Q(\sqrt{-55})$$ $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+q^{4}-q^{9}-q^{11}+q^{16}-2q^{31}+\cdots$$
275.1.s.a $$4$$ $$0.137$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+(\zeta_{10}-\zeta_{10}^{3})q^{3}-\zeta_{10}^{2}q^{4}-q^{5}+\cdots$$
275.1.v.a $$4$$ $$0.137$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-2$$ $$4$$ $$0$$ $$q+(-\zeta_{10}^{3}+\zeta_{10}^{4})q^{3}-\zeta_{10}q^{4}+q^{5}+\cdots$$
275.2.a.a $$1$$ $$2.196$$ $$\Q$$ None None $$-1$$ $$0$$ $$0$$ $$0$$ $$+$$ $$q-q^{2}-q^{4}+3q^{8}-3q^{9}-q^{11}-2q^{13}+\cdots$$
275.2.a.b $$1$$ $$2.196$$ $$\Q$$ None None $$2$$ $$1$$ $$0$$ $$2$$ $$-$$ $$q+2q^{2}+q^{3}+2q^{4}+2q^{6}+2q^{7}+\cdots$$
275.2.a.c $$2$$ $$2.196$$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$0$$ $$0$$ $$4$$ $$-$$ $$q+(-1+\beta )q^{2}-2\beta q^{3}+(1-2\beta )q^{4}+\cdots$$
275.2.a.d $$2$$ $$2.196$$ $$\Q(\sqrt{5})$$ None None $$-1$$ $$-3$$ $$0$$ $$-1$$ $$+$$ $$q-\beta q^{2}+(-1-\beta )q^{3}+(-1+\beta )q^{4}+\cdots$$
275.2.a.e $$2$$ $$2.196$$ $$\Q(\sqrt{13})$$ None None $$-1$$ $$-1$$ $$0$$ $$-5$$ $$+$$ $$q-\beta q^{2}+(-1+\beta )q^{3}+(1+\beta )q^{4}-3q^{6}+\cdots$$
275.2.a.f $$2$$ $$2.196$$ $$\Q(\sqrt{13})$$ None None $$1$$ $$1$$ $$0$$ $$5$$ $$-$$ $$q+\beta q^{2}+(1-\beta )q^{3}+(1+\beta )q^{4}-3q^{6}+\cdots$$
275.2.a.g $$2$$ $$2.196$$ $$\Q(\sqrt{5})$$ None None $$1$$ $$3$$ $$0$$ $$1$$ $$-$$ $$q+\beta q^{2}+(1+\beta )q^{3}+(-1+\beta )q^{4}+(1+\cdots)q^{6}+\cdots$$
275.2.a.h $$4$$ $$2.196$$ $$\Q(\sqrt{3}, \sqrt{11})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q+\beta _{1}q^{2}+(\beta _{1}-\beta _{2})q^{3}+(2+\beta _{3})q^{4}+\cdots$$
275.2.b.a $$2$$ $$2.196$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{2}-iq^{3}-2q^{4}+2q^{6}+2iq^{7}+\cdots$$
275.2.b.b $$2$$ $$2.196$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}+q^{4}+3iq^{8}+3q^{9}-q^{11}+\cdots$$
275.2.b.c $$4$$ $$2.196$$ $$\Q(i, \sqrt{13})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{3}+(-2+\beta _{3})q^{4}+\cdots$$
275.2.b.d $$4$$ $$2.196$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{2}+(\zeta_{8}-\zeta_{8}^{2})q^{3}+(-1-\zeta_{8}^{3})q^{4}+\cdots$$
275.2.b.e $$4$$ $$2.196$$ $$\Q(i, \sqrt{5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(-\beta _{1}+\beta _{3})q^{3}+(1+\beta _{2}+\cdots)q^{4}+\cdots$$
275.2.e.a $$4$$ $$2.196$$ $$\Q(i, \sqrt{11})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+(\beta _{1}-\beta _{2})q^{3}-2\beta _{1}q^{4}+(-1+3\beta _{1}+\cdots)q^{9}+\cdots$$
275.2.e.b $$4$$ $$2.196$$ $$\Q(i, \sqrt{10})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(1+\beta _{2})q^{3}+3\beta _{2}q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots$$
275.2.e.c $$8$$ $$2.196$$ 8.0.1499238400.2 $$\Q(\sqrt{-55})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}+(-2\beta _{4}-\beta _{6})q^{4}+\beta _{5}q^{7}+\cdots$$
275.2.e.d $$16$$ $$2.196$$ 16.0.$$\cdots$$.2 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{9}q^{2}+(-\beta _{3}-\beta _{10})q^{3}+(\beta _{4}-\beta _{7}+\cdots)q^{4}+\cdots$$
275.2.g.a $$112$$ $$2.196$$ None None $$-1$$ $$1$$ $$0$$ $$-4$$
275.2.h.a $$8$$ $$2.196$$ 8.0.13140625.1 None None $$2$$ $$5$$ $$0$$ $$1$$ $$q+\beta _{6}q^{2}+(1-\beta _{1}-\beta _{3}+\beta _{4}+\beta _{5}+\cdots)q^{3}+\cdots$$
275.2.h.b $$8$$ $$2.196$$ 8.0.159390625.1 None None $$4$$ $$-1$$ $$0$$ $$3$$ $$q+(\beta _{1}+\beta _{2}-\beta _{4})q^{2}-\beta _{1}q^{3}+(-2+\cdots)q^{4}+\cdots$$
275.2.h.c $$16$$ $$2.196$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$-2$$ $$0$$ $$4$$ $$q+(\beta _{2}+\beta _{5}-\beta _{9})q^{2}-\beta _{14}q^{3}+(-1+\cdots)q^{4}+\cdots$$
275.2.h.d $$16$$ $$2.196$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{1}+\beta _{12}+\beta _{13})q^{2}+(-\beta _{5}+\beta _{13}+\cdots)q^{3}+\cdots$$
275.2.h.e $$16$$ $$2.196$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$2$$ $$0$$ $$-4$$ $$q+(-\beta _{2}-\beta _{5}+\beta _{9})q^{2}+\beta _{14}q^{3}+(-1+\cdots)q^{4}+\cdots$$
275.2.i.a $$44$$ $$2.196$$ None None $$-1$$ $$0$$ $$-6$$ $$0$$
275.2.i.b $$60$$ $$2.196$$ None None $$-1$$ $$-2$$ $$6$$ $$0$$
275.2.j.a $$112$$ $$2.196$$ None None $$-1$$ $$-4$$ $$-5$$ $$-4$$
275.2.k.a $$4$$ $$2.196$$ $$\Q(\zeta_{10})$$ None None $$-2$$ $$-6$$ $$-5$$ $$-2$$ $$q+(-1+\zeta_{10}+\zeta_{10}^{3})q^{2}+(-2-\zeta_{10}^{2}+\cdots)q^{3}+\cdots$$
275.2.k.b $$4$$ $$2.196$$ $$\Q(\zeta_{10})$$ None None $$-2$$ $$-6$$ $$-5$$ $$-2$$ $$q+(-1+\zeta_{10}+\zeta_{10}^{3})q^{2}+(-1+\zeta_{10}^{2}+\cdots)q^{3}+\cdots$$
275.2.k.c $$4$$ $$2.196$$ $$\Q(\zeta_{10})$$ None None $$1$$ $$0$$ $$5$$ $$-10$$ $$q+\zeta_{10}^{3}q^{2}+(1+2\zeta_{10}^{2}-2\zeta_{10}^{3})q^{3}+\cdots$$
275.2.k.d $$100$$ $$2.196$$ None None $$2$$ $$8$$ $$0$$ $$5$$
275.2.l.a $$4$$ $$2.196$$ $$\Q(\zeta_{10})$$ None None $$-4$$ $$-5$$ $$-5$$ $$-10$$ $$q-q^{2}+(-1-\zeta_{10}+\zeta_{10}^{2}+\zeta_{10}^{3})q^{3}+\cdots$$
275.2.l.b $$4$$ $$2.196$$ $$\Q(\zeta_{10})$$ None None $$-2$$ $$-1$$ $$-5$$ $$-2$$ $$q+(-1-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+(1-2\zeta_{10}+\cdots)q^{3}+\cdots$$
275.2.l.c $$4$$ $$2.196$$ $$\Q(\zeta_{10})$$ None None $$-2$$ $$4$$ $$5$$ $$-2$$ $$q+(-1-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+(2-\zeta_{10}+\cdots)q^{3}+\cdots$$
275.2.l.d $$100$$ $$2.196$$ None None $$2$$ $$-2$$ $$5$$ $$5$$
275.2.n.a $$112$$ $$2.196$$ None None $$0$$ $$-10$$ $$-2$$ $$15$$
275.2.t.a $$112$$ $$2.196$$ None None $$-5$$ $$0$$ $$-7$$ $$-15$$
275.2.y.a $$40$$ $$2.196$$ None None $$0$$ $$0$$ $$5$$ $$0$$
275.2.y.b $$56$$ $$2.196$$ None None $$0$$ $$0$$ $$-7$$ $$0$$
275.2.z.a $$16$$ $$2.196$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{4}q^{2}+(-\beta _{1}-\beta _{11}-\beta _{13}+\beta _{15})q^{3}+\cdots$$
275.2.z.b $$16$$ $$2.196$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{6}+\beta _{12}-\beta _{15})q^{2}+(\beta _{14}-\beta _{15})q^{3}+\cdots$$
275.2.z.c $$32$$ $$2.196$$ None None $$0$$ $$0$$ $$0$$ $$0$$
275.2.ba.a $$112$$ $$2.196$$ None None $$-5$$ $$-5$$ $$-2$$ $$10$$
275.2.bb.a $$112$$ $$2.196$$ None None $$-5$$ $$0$$ $$-7$$ $$-10$$
275.2.bf.a $$224$$ $$2.196$$ None None $$-10$$ $$-14$$ $$-2$$ $$-10$$
275.2.bg.a $$224$$ $$2.196$$ None None $$-10$$ $$-4$$ $$-12$$ $$-30$$
275.2.bl.a $$224$$ $$2.196$$ None None $$-10$$ $$-4$$ $$-12$$ $$0$$
275.2.bm.a $$32$$ $$2.196$$ None None $$0$$ $$0$$ $$0$$ $$0$$