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.m $$4$$ $$31.980$$ 4.4.2777.1 None $$0$$ $$0$$ $$4$$ $$-7$$ $$-$$ $$-$$ $$+$$ $$q-\beta _{2}q^{2}+(1-\beta _{3})q^{4}+q^{5}+(-2+\beta _{1}+\cdots)q^{7}+\cdots$$
4005.2.a.p $$8$$ $$31.980$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$-1$$ $$0$$ $$8$$ $$-6$$ $$-$$ $$-$$ $$+$$ $$q-\beta _{1}q^{2}+(1-\beta _{1}-\beta _{3}-\beta _{4}+\beta _{5}+\cdots)q^{4}+\cdots$$
4005.2.a.q $$9$$ $$31.980$$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None $$-5$$ $$0$$ $$9$$ $$-3$$ $$-$$ $$-$$ $$+$$ $$q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots$$