## Results (displaying both matches)

Label Dim. $$A$$ Field CM Traces A-L signs $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$ 3 5 89
4005.2.a.b $$1$$ $$31.980$$ $$\Q$$ None $$0$$ $$0$$ $$-1$$ $$-4$$ $$+$$ $$+$$ $$+$$ $$q-2q^{4}-q^{5}-4q^{7}-2q^{11}+4q^{13}+\cdots$$
4005.2.a.v $$12$$ $$31.980$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$3$$ $$0$$ $$-12$$ $$-8$$ $$+$$ $$+$$ $$+$$ $$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(-1-\beta _{2}+\cdots)q^{7}+\cdots$$