## Results (20 matches)

Label Dim. $$A$$ Field CM Traces A-L signs $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$ 2 7 19
5054.2.a.c $$1$$ $$40.356$$ $$\Q$$ None $$1$$ $$2$$ $$0$$ $$1$$ $$-$$ $$-$$ $$-$$ $$q+q^{2}+2q^{3}+q^{4}+2q^{6}+q^{7}+q^{8}+\cdots$$
5054.2.a.f $$2$$ $$40.356$$ $$\Q(\sqrt{5})$$ None $$-2$$ $$-1$$ $$2$$ $$-2$$ $$+$$ $$+$$ $$-$$ $$q-q^{2}-\beta q^{3}+q^{4}+q^{5}+\beta q^{6}-q^{7}+\cdots$$
5054.2.a.g $$2$$ $$40.356$$ $$\Q(\sqrt{5})$$ None $$-2$$ $$1$$ $$-3$$ $$2$$ $$+$$ $$-$$ $$+$$ $$q-q^{2}+\beta q^{3}+q^{4}+(-1-\beta )q^{5}-\beta q^{6}+\cdots$$
5054.2.a.i $$2$$ $$40.356$$ $$\Q(\sqrt{5})$$ None $$-2$$ $$3$$ $$-4$$ $$-2$$ $$+$$ $$+$$ $$-$$ $$q-q^{2}+(1+\beta )q^{3}+q^{4}+(-3+2\beta )q^{5}+\cdots$$
5054.2.a.k $$2$$ $$40.356$$ $$\Q(\sqrt{5})$$ None $$2$$ $$-3$$ $$1$$ $$2$$ $$-$$ $$-$$ $$-$$ $$q+q^{2}+(-1-\beta )q^{3}+q^{4}+(2-3\beta )q^{5}+\cdots$$
5054.2.a.o $$2$$ $$40.356$$ $$\Q(\sqrt{5})$$ None $$2$$ $$1$$ $$-1$$ $$-2$$ $$-$$ $$+$$ $$+$$ $$q+q^{2}+\beta q^{3}+q^{4}+(1-3\beta )q^{5}+\beta q^{6}+\cdots$$
5054.2.a.q $$3$$ $$40.356$$ 3.3.148.1 None $$-3$$ $$-2$$ $$-1$$ $$-3$$ $$+$$ $$+$$ $$-$$ $$q-q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$$
5054.2.a.r $$3$$ $$40.356$$ 3.3.469.1 None $$-3$$ $$1$$ $$5$$ $$-3$$ $$+$$ $$+$$ $$-$$ $$q-q^{2}-\beta _{2}q^{3}+q^{4}+(2-\beta _{1})q^{5}+\beta _{2}q^{6}+\cdots$$
5054.2.a.u $$3$$ $$40.356$$ 3.3.148.1 None $$3$$ $$2$$ $$-1$$ $$-3$$ $$-$$ $$+$$ $$+$$ $$q+q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$$
5054.2.a.w $$4$$ $$40.356$$ 4.4.151572.1 None $$-4$$ $$-1$$ $$1$$ $$4$$ $$+$$ $$-$$ $$+$$ $$q-q^{2}-\beta _{1}q^{3}+q^{4}+(\beta _{1}+\beta _{3})q^{5}+\cdots$$
5054.2.a.x $$4$$ $$40.356$$ 4.4.151572.1 None $$4$$ $$1$$ $$1$$ $$4$$ $$-$$ $$-$$ $$-$$ $$q+q^{2}+\beta _{1}q^{3}+q^{4}+(\beta _{1}+\beta _{3})q^{5}+\cdots$$
5054.2.a.y $$4$$ $$40.356$$ $$\Q(\zeta_{20})^+$$ None $$4$$ $$4$$ $$2$$ $$4$$ $$-$$ $$-$$ $$-$$ $$q+q^{2}+(1+\beta _{1})q^{3}+q^{4}+(-\beta _{2}-\beta _{3})q^{5}+\cdots$$
5054.2.a.ba $$6$$ $$40.356$$ 6.6.48952000.1 None $$-6$$ $$2$$ $$-5$$ $$-6$$ $$+$$ $$+$$ $$-$$ $$q-q^{2}+(1-\beta _{1}+\beta _{2})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots$$
5054.2.a.be $$6$$ $$40.356$$ 6.6.36538000.1 None $$6$$ $$0$$ $$-1$$ $$6$$ $$-$$ $$-$$ $$-$$ $$q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{4}q^{5}-\beta _{1}q^{6}+\cdots$$
5054.2.a.bg $$8$$ $$40.356$$ 8.8.$$\cdots$$.1 None $$-8$$ $$4$$ $$-2$$ $$8$$ $$+$$ $$-$$ $$+$$ $$q-q^{2}+(1+\beta _{2}+\beta _{5})q^{3}+q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$$
5054.2.a.bi $$8$$ $$40.356$$ 8.8.$$\cdots$$.1 None $$8$$ $$4$$ $$6$$ $$-8$$ $$-$$ $$+$$ $$+$$ $$q+q^{2}+(1+\beta _{5}-\beta _{7})q^{3}+q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots$$
5054.2.a.bj $$9$$ $$40.356$$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None $$-9$$ $$-3$$ $$3$$ $$-9$$ $$+$$ $$+$$ $$-$$ $$q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{6}q^{5}+\beta _{1}q^{6}+\cdots$$
5054.2.a.bk $$9$$ $$40.356$$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None $$9$$ $$3$$ $$3$$ $$-9$$ $$-$$ $$+$$ $$+$$ $$q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{6}q^{5}+\beta _{1}q^{6}+\cdots$$
5054.2.a.bl $$12$$ $$40.356$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$-12$$ $$-3$$ $$3$$ $$12$$ $$+$$ $$-$$ $$+$$ $$q-q^{2}-\beta _{1}q^{3}+q^{4}+(\beta _{2}-\beta _{5})q^{5}+\cdots$$
5054.2.a.bm $$12$$ $$40.356$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$12$$ $$3$$ $$3$$ $$12$$ $$-$$ $$-$$ $$-$$ $$q+q^{2}+\beta _{1}q^{3}+q^{4}+(\beta _{2}-\beta _{5})q^{5}+\cdots$$