## Results (1-50 of 226 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
273.1.o.a $$2$$ $$0.136$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}+iq^{4}-iq^{7}-q^{9}-q^{12}+\cdots$$
273.1.o.b $$2$$ $$0.136$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q-iq^{3}+iq^{4}+q^{7}-q^{9}+q^{12}-iq^{13}+\cdots$$
273.1.s.a $$2$$ $$0.136$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$-1$$ $$q+\zeta_{6}^{2}q^{3}+q^{4}+\zeta_{6}^{2}q^{7}-\zeta_{6}q^{9}+\cdots$$
273.1.s.b $$4$$ $$0.136$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-\zeta_{12}^{3}q^{2}-\zeta_{12}^{5}q^{3}+\zeta_{12}^{5}q^{5}+\cdots$$
273.1.x.a $$2$$ $$0.136$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$0$$ $$-1$$ $$q-q^{3}-\zeta_{6}^{2}q^{4}-\zeta_{6}q^{7}+q^{9}+\zeta_{6}^{2}q^{12}+\cdots$$
273.1.bm.a $$2$$ $$0.136$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$2$$ $$0$$ $$-1$$ $$q+q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{7}+q^{9}+\zeta_{6}^{2}q^{12}+\cdots$$
273.1.bm.b $$4$$ $$0.136$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$q-\zeta_{12}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}^{5}q^{5}+\zeta_{12}^{4}q^{6}+\cdots$$
273.1.bp.a $$2$$ $$0.136$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$1$$ $$q-\zeta_{6}^{2}q^{3}-q^{4}-\zeta_{6}^{2}q^{7}-\zeta_{6}q^{9}+\cdots$$
273.1.bs.a $$4$$ $$0.136$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{3}-\zeta_{12}^{3}q^{4}-\zeta_{12}q^{7}+\zeta_{12}^{2}q^{9}+\cdots$$
273.1.ch.a $$4$$ $$0.136$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-\zeta_{12}^{3}q^{3}-\zeta_{12}^{5}q^{4}+\zeta_{12}^{4}q^{7}+\cdots$$
273.2.a.a $$1$$ $$2.180$$ $$\Q$$ None None $$-2$$ $$-1$$ $$-1$$ $$1$$ $$+$$ $$q-2q^{2}-q^{3}+2q^{4}-q^{5}+2q^{6}+q^{7}+\cdots$$
273.2.a.b $$1$$ $$2.180$$ $$\Q$$ None None $$2$$ $$1$$ $$1$$ $$-1$$ $$-$$ $$q+2q^{2}+q^{3}+2q^{4}+q^{5}+2q^{6}-q^{7}+\cdots$$
273.2.a.c $$2$$ $$2.180$$ $$\Q(\sqrt{2})$$ None None $$2$$ $$-2$$ $$0$$ $$2$$ $$-$$ $$q+(1+\beta )q^{2}-q^{3}+(1+2\beta )q^{4}+(-1+\cdots)q^{6}+\cdots$$
273.2.a.d $$3$$ $$2.180$$ 3.3.316.1 None None $$-2$$ $$-3$$ $$-3$$ $$-3$$ $$+$$ $$q+(-1+\beta _{1})q^{2}-q^{3}+(2-2\beta _{1}+\beta _{2})q^{4}+\cdots$$
273.2.a.e $$4$$ $$2.180$$ 4.4.17428.1 None None $$1$$ $$4$$ $$-3$$ $$4$$ $$-$$ $$q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots$$
273.2.c.a $$2$$ $$2.180$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+2iq^{2}+q^{3}-2q^{4}+3iq^{5}+2iq^{6}+\cdots$$
273.2.c.b $$6$$ $$2.180$$ 6.0.350464.1 None None $$0$$ $$6$$ $$0$$ $$0$$ $$q-\beta _{4}q^{2}+q^{3}+(-\beta _{1}+\beta _{2})q^{4}+(-\beta _{3}+\cdots)q^{5}+\cdots$$
273.2.c.c $$8$$ $$2.180$$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None None $$0$$ $$-8$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-q^{3}+(-2+\beta _{2})q^{4}+(-\beta _{3}+\cdots)q^{5}+\cdots$$
273.2.e.a $$32$$ $$2.180$$ None None $$0$$ $$0$$ $$0$$ $$4$$
273.2.g.a $$32$$ $$2.180$$ None None $$0$$ $$0$$ $$0$$ $$0$$
273.2.i.a $$2$$ $$2.180$$ $$\Q(\sqrt{-3})$$ None None $$1$$ $$-1$$ $$-4$$ $$-5$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(1-\zeta_{6})q^{4}+\cdots$$
273.2.i.b $$6$$ $$2.180$$ $$\Q(\zeta_{18})$$ None None $$0$$ $$3$$ $$-3$$ $$0$$ $$q+(-\zeta_{18}+\zeta_{18}^{2}+\zeta_{18}^{4}-\zeta_{18}^{5})q^{2}+\cdots$$
273.2.i.c $$6$$ $$2.180$$ 6.0.64827.1 None None $$2$$ $$-3$$ $$3$$ $$0$$ $$q+(\beta _{1}+\beta _{4})q^{2}-\beta _{5}q^{3}+(2\beta _{1}-2\beta _{2}+\cdots)q^{4}+\cdots$$
273.2.i.d $$8$$ $$2.180$$ 8.0.4868829729.1 None None $$1$$ $$-4$$ $$-3$$ $$9$$ $$q+(-\beta _{1}+\beta _{3}+\beta _{6})q^{2}+\beta _{4}q^{3}+(\beta _{3}+\cdots)q^{4}+\cdots$$
273.2.i.e $$10$$ $$2.180$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$0$$ $$5$$ $$3$$ $$4$$ $$q+(\beta _{4}-\beta _{8})q^{2}+(1-\beta _{2})q^{3}+(-1-\beta _{1}+\cdots)q^{4}+\cdots$$
273.2.j.a $$2$$ $$2.180$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$2$$ $$0$$ $$5$$ $$q+q^{3}+(2-2\zeta_{6})q^{4}+(3-\zeta_{6})q^{7}+q^{9}+\cdots$$
273.2.j.b $$16$$ $$2.180$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$-16$$ $$0$$ $$1$$ $$q+\beta _{1}q^{2}-q^{3}+(-\beta _{3}+\beta _{5}-\beta _{9}+\beta _{14}+\cdots)q^{4}+\cdots$$
273.2.j.c $$20$$ $$2.180$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None None $$0$$ $$20$$ $$0$$ $$-9$$ $$q+(\beta _{1}+\beta _{4})q^{2}+q^{3}+(-\beta _{2}-2\beta _{7}+\cdots)q^{4}+\cdots$$
273.2.k.a $$6$$ $$2.180$$ $$\Q(\zeta_{18})$$ None None $$0$$ $$-3$$ $$12$$ $$3$$ $$q+(\zeta_{18}-\zeta_{18}^{2}-\zeta_{18}^{4}+\zeta_{18}^{5})q^{2}+\cdots$$
273.2.k.b $$6$$ $$2.180$$ 6.0.6040683.1 None None $$0$$ $$3$$ $$4$$ $$-3$$ $$q+(\beta _{1}+\beta _{2})q^{2}+(1-\beta _{4})q^{3}+(\beta _{3}-\beta _{4}+\cdots)q^{4}+\cdots$$
273.2.k.c $$6$$ $$2.180$$ 6.0.64827.1 None None $$2$$ $$-3$$ $$0$$ $$-3$$ $$q+(\beta _{1}+\beta _{4})q^{2}+(-1+\beta _{5})q^{3}+(2\beta _{1}+\cdots)q^{4}+\cdots$$
273.2.k.d $$6$$ $$2.180$$ 6.0.771147.1 None None $$2$$ $$3$$ $$0$$ $$3$$ $$q+(1+\beta _{1}-\beta _{2}-\beta _{3}+\beta _{5})q^{2}-\beta _{4}q^{3}+\cdots$$
273.2.l.a $$2$$ $$2.180$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$0$$ $$-4$$ $$q-\zeta_{6}q^{3}-2q^{4}+(-3+2\zeta_{6})q^{7}+(-1+\cdots)q^{9}+\cdots$$
273.2.l.b $$16$$ $$2.180$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$8$$ $$0$$ $$1$$ $$q+(-\beta _{1}-\beta _{2})q^{2}+\beta _{9}q^{3}+(1+\beta _{3}+\cdots)q^{4}+\cdots$$
273.2.l.c $$20$$ $$2.180$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None None $$0$$ $$-10$$ $$0$$ $$3$$ $$q-\beta _{4}q^{2}+(-1+\beta _{7})q^{3}+(2+\beta _{2})q^{4}+\cdots$$
273.2.n.a $$4$$ $$2.180$$ $$\Q(\zeta_{8})$$ None None $$-4$$ $$-4$$ $$-8$$ $$0$$ $$q+(-1-\zeta_{8}^{2})q^{2}+(-1+\zeta_{8}+\zeta_{8}^{2}+\cdots)q^{3}+\cdots$$
273.2.n.b $$4$$ $$2.180$$ $$\Q(\zeta_{8})$$ None None $$4$$ $$-4$$ $$8$$ $$0$$ $$q+(1-\zeta_{8}^{2})q^{2}+(-1+\zeta_{8}+\zeta_{8}^{2})q^{3}+\cdots$$
273.2.n.c $$48$$ $$2.180$$ None None $$0$$ $$8$$ $$0$$ $$0$$
273.2.p.a $$4$$ $$2.180$$ $$\Q(i, \sqrt{6})$$ None None $$0$$ $$0$$ $$-8$$ $$4$$ $$q+\beta _{1}q^{2}+\beta _{2}q^{3}+\beta _{2}q^{4}+(-2+2\beta _{2}+\cdots)q^{5}+\cdots$$
273.2.p.b $$4$$ $$2.180$$ $$\Q(i, \sqrt{10})$$ None None $$0$$ $$0$$ $$-4$$ $$-4$$ $$q-\beta _{2}q^{3}+2\beta _{2}q^{4}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots$$
273.2.p.c $$4$$ $$2.180$$ $$\Q(i, \sqrt{10})$$ None None $$0$$ $$0$$ $$4$$ $$-4$$ $$q-\beta _{2}q^{3}-2\beta _{2}q^{4}+(1-\beta _{2}+\beta _{3})q^{5}+\cdots$$
273.2.p.d $$4$$ $$2.180$$ $$\Q(i, \sqrt{6})$$ None None $$0$$ $$0$$ $$8$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{2}q^{3}+\beta _{2}q^{4}+(2-2\beta _{2}+\cdots)q^{5}+\cdots$$
273.2.p.e $$12$$ $$2.180$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$-12$$ $$12$$ $$q+\beta _{8}q^{2}-\beta _{4}q^{3}+(3\beta _{4}-\beta _{6}-\beta _{11})q^{4}+\cdots$$
273.2.p.f $$12$$ $$2.180$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$12$$ $$-4$$ $$q+\beta _{8}q^{2}+\beta _{4}q^{3}+(3\beta _{4}-\beta _{6}-\beta _{11})q^{4}+\cdots$$
273.2.r.a $$2$$ $$2.180$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-3$$ $$0$$ $$4$$ $$q+(-1-\zeta_{6})q^{3}+2q^{4}+(1+2\zeta_{6})q^{7}+\cdots$$
273.2.r.b $$64$$ $$2.180$$ None None $$0$$ $$0$$ $$0$$ $$-10$$
273.2.t.a $$2$$ $$2.180$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$-6$$ $$5$$ $$q+(-1+2\zeta_{6})q^{2}+\zeta_{6}q^{3}-q^{4}+(-4+\cdots)q^{5}+\cdots$$
273.2.t.b $$4$$ $$2.180$$ $$\Q(\sqrt{-3}, \sqrt{-7})$$ None None $$0$$ $$-2$$ $$6$$ $$0$$ $$q+(\beta _{1}-\beta _{3})q^{2}+(-1+\beta _{2})q^{3}+(-1+\cdots)q^{4}+\cdots$$
273.2.t.c $$12$$ $$2.180$$ 12.0.$$\cdots$$.1 None None $$0$$ $$-6$$ $$-6$$ $$-3$$ $$q+(\beta _{1}+\beta _{3}+\beta _{6})q^{2}+(-1-\beta _{4})q^{3}+\cdots$$
273.2.t.d $$20$$ $$2.180$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None None $$0$$ $$10$$ $$6$$ $$2$$ $$q+(\beta _{2}+\beta _{3})q^{2}+\beta _{11}q^{3}+(-1+\beta _{1}+\cdots)q^{4}+\cdots$$