## Results (1-50 of 72 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
572.1.ba.a $$4$$ $$0.285$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-13})$$ None $$-1$$ $$0$$ $$0$$ $$-2$$ $$q+\zeta_{10}^{2}q^{2}+\zeta_{10}^{4}q^{4}+(-\zeta_{10}+\zeta_{10}^{2}+\cdots)q^{7}+\cdots$$
572.1.ba.b $$4$$ $$0.285$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-13})$$ None $$1$$ $$0$$ $$0$$ $$2$$ $$q-\zeta_{10}^{2}q^{2}+\zeta_{10}^{4}q^{4}+(\zeta_{10}-\zeta_{10}^{2}+\cdots)q^{7}+\cdots$$
572.2.a.a $$1$$ $$4.567$$ $$\Q$$ None None $$0$$ $$1$$ $$3$$ $$2$$ $$-$$ $$q+q^{3}+3q^{5}+2q^{7}-2q^{9}+q^{11}+\cdots$$
572.2.a.b $$2$$ $$4.567$$ $$\Q(\sqrt{13})$$ None None $$0$$ $$-3$$ $$0$$ $$-3$$ $$+$$ $$q+(-1-\beta )q^{3}+(-2+\beta )q^{7}+(1+3\beta )q^{9}+\cdots$$
572.2.a.c $$2$$ $$4.567$$ $$\Q(\sqrt{21})$$ None None $$0$$ $$1$$ $$-4$$ $$3$$ $$-$$ $$q+\beta q^{3}-2q^{5}+(1+\beta )q^{7}+(2+\beta )q^{9}+\cdots$$
572.2.a.d $$2$$ $$4.567$$ $$\Q(\sqrt{21})$$ None None $$0$$ $$1$$ $$4$$ $$5$$ $$-$$ $$q+\beta q^{3}+2q^{5}+(3-\beta )q^{7}+(2+\beta )q^{9}+\cdots$$
572.2.a.e $$3$$ $$4.567$$ 3.3.229.1 None None $$0$$ $$-2$$ $$-1$$ $$-7$$ $$+$$ $$q+(-1-\beta _{2})q^{3}+(\beta _{1}+\beta _{2})q^{5}+(-2+\cdots)q^{7}+\cdots$$
572.2.b.a $$4$$ $$4.567$$ $$\Q(\sqrt{-2}, \sqrt{-13})$$ $$\Q(\sqrt{-13})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}-2q^{4}+\beta _{2}q^{7}+2\beta _{2}q^{8}+\cdots$$
572.2.b.b $$20$$ $$4.567$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ $$\Q(\sqrt{-143})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{14}q^{2}-\beta _{9}q^{3}+\beta _{12}q^{4}+(-\beta _{3}+\cdots)q^{6}+\cdots$$
572.2.b.c $$56$$ $$4.567$$ None None $$0$$ $$0$$ $$0$$ $$0$$
572.2.e.a $$8$$ $$4.567$$ 8.0.342102016.5 None None $$0$$ $$0$$ $$-12$$ $$0$$ $$q-\beta _{4}q^{2}+(-\beta _{3}-\beta _{5}+\beta _{7})q^{4}+(-2+\cdots)q^{5}+\cdots$$
572.2.e.b $$64$$ $$4.567$$ None None $$0$$ $$0$$ $$12$$ $$0$$
572.2.f.a $$2$$ $$4.567$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+4iq^{7}-3q^{9}-iq^{11}+(-3+2i)q^{13}+\cdots$$
572.2.f.b $$4$$ $$4.567$$ $$\Q(i, \sqrt{21})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+(1-\beta _{3})q^{3}+(\beta _{1}-\beta _{2})q^{7}+(3-\beta _{3})q^{9}+\cdots$$
572.2.f.c $$8$$ $$4.567$$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-\beta _{2}q^{3}+(\beta _{1}+\beta _{5}+\beta _{6}-\beta _{7})q^{5}+\cdots$$
572.2.i.a $$4$$ $$4.567$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$2$$ $$-4$$ $$-2$$ $$q+(\zeta_{12}-\zeta_{12}^{2})q^{3}-q^{5}+(-1+\zeta_{12}+\cdots)q^{7}+\cdots$$
572.2.i.b $$6$$ $$4.567$$ 6.0.309123.1 None None $$0$$ $$-1$$ $$6$$ $$-5$$ $$q+(\beta _{1}-\beta _{5})q^{3}+(1+\beta _{1}-\beta _{3})q^{5}+(-1+\cdots)q^{7}+\cdots$$
572.2.i.c $$10$$ $$4.567$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$0$$ $$1$$ $$2$$ $$1$$ $$q+\beta _{1}q^{3}+(-\beta _{2}-\beta _{3}-\beta _{5})q^{5}+(-\beta _{3}+\cdots)q^{7}+\cdots$$
572.2.j.a $$140$$ $$4.567$$ None None $$0$$ $$0$$ $$4$$ $$0$$
572.2.m.a $$28$$ $$4.567$$ None None $$0$$ $$0$$ $$0$$ $$0$$
572.2.n.a $$20$$ $$4.567$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$0$$ $$1$$ $$1$$ $$3$$ $$q+\beta _{5}q^{3}+(-\beta _{9}-\beta _{10})q^{5}+(1-\beta _{1}+\cdots)q^{7}+\cdots$$
572.2.n.b $$28$$ $$4.567$$ None None $$0$$ $$1$$ $$-7$$ $$11$$
572.2.p.a $$24$$ $$4.567$$ None None $$0$$ $$-2$$ $$0$$ $$6$$
572.2.s.a $$160$$ $$4.567$$ None None $$0$$ $$0$$ $$0$$ $$0$$
572.2.t.a $$160$$ $$4.567$$ None None $$0$$ $$0$$ $$-16$$ $$0$$
572.2.x.a $$56$$ $$4.567$$ None None $$0$$ $$0$$ $$0$$ $$0$$
572.2.y.a $$288$$ $$4.567$$ None None $$0$$ $$0$$ $$0$$ $$0$$
572.2.bb.a $$16$$ $$4.567$$ 16.0.$$\cdots$$.9 $$\Q(\sqrt{-13})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{8}q^{2}+(2+2\beta _{2}-2\beta _{7}-2\beta _{9})q^{4}+\cdots$$
572.2.bb.b $$304$$ $$4.567$$ None None $$0$$ $$0$$ $$0$$ $$0$$
572.2.bc.a $$56$$ $$4.567$$ None None $$0$$ $$0$$ $$0$$ $$0$$
572.2.bf.a $$280$$ $$4.567$$ None None $$0$$ $$0$$ $$-4$$ $$0$$
572.2.bg.a $$112$$ $$4.567$$ None None $$0$$ $$0$$ $$0$$ $$0$$
572.2.bh.a $$112$$ $$4.567$$ None None $$0$$ $$0$$ $$0$$ $$0$$
572.2.bk.a $$640$$ $$4.567$$ None None $$-6$$ $$0$$ $$-12$$ $$0$$
572.2.bm.a $$640$$ $$4.567$$ None None $$-5$$ $$0$$ $$-24$$ $$0$$
572.2.bn.a $$640$$ $$4.567$$ None None $$-15$$ $$0$$ $$0$$ $$0$$
572.2.bq.a $$112$$ $$4.567$$ None None $$0$$ $$0$$ $$0$$ $$0$$
572.2.bs.a $$1280$$ $$4.567$$ None None $$-12$$ $$0$$ $$-24$$ $$0$$
572.2.bv.a $$224$$ $$4.567$$ None None $$0$$ $$0$$ $$0$$ $$0$$
572.3.g.a $$28$$ $$15.586$$ None None $$0$$ $$0$$ $$0$$ $$0$$
572.3.h.a $$24$$ $$15.586$$ None None $$0$$ $$-10$$ $$-2$$ $$0$$
572.3.l.a $$44$$ $$15.586$$ None None $$0$$ $$0$$ $$12$$ $$-12$$
572.3.o.a $$56$$ $$15.586$$ None None $$0$$ $$0$$ $$0$$ $$0$$
572.3.q.a $$56$$ $$15.586$$ None None $$0$$ $$0$$ $$0$$ $$0$$
572.3.v.a $$96$$ $$15.586$$ None None $$0$$ $$10$$ $$2$$ $$-30$$
572.3.bd.a $$96$$ $$15.586$$ None None $$0$$ $$0$$ $$-12$$ $$-8$$
572.4.a.a $$1$$ $$33.749$$ $$\Q$$ None None $$0$$ $$7$$ $$-15$$ $$-1$$ $$-$$ $$q+7q^{3}-15q^{5}-q^{7}+22q^{9}+11q^{11}+\cdots$$
572.4.a.b $$1$$ $$33.749$$ $$\Q$$ None None $$0$$ $$10$$ $$13$$ $$-11$$ $$+$$ $$q+10q^{3}+13q^{5}-11q^{7}+73q^{9}+\cdots$$
572.4.a.c $$6$$ $$33.749$$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None None $$0$$ $$-19$$ $$-14$$ $$-45$$ $$-$$ $$q+(-3-\beta _{1})q^{3}+(-2-\beta _{1}-\beta _{3})q^{5}+\cdots$$
572.4.a.d $$7$$ $$33.749$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$0$$ $$0$$ $$-3$$ $$38$$ $$+$$ $$q-\beta _{1}q^{3}+\beta _{3}q^{5}+(5-\beta _{1}+\beta _{2})q^{7}+\cdots$$