Label Dim. $$A$$ Field CM Traces A-L signs $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$ 2 3 223
4014.2.a.v $$7$$ $$32.052$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None $$-7$$ $$0$$ $$-6$$ $$3$$ $$+$$ $$-$$ $$+$$ $$q-q^{2}+q^{4}+(-1-\beta _{4})q^{5}-\beta _{3}q^{7}+\cdots$$
4014.2.a.w $$7$$ $$32.052$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None $$-7$$ $$0$$ $$-2$$ $$6$$ $$+$$ $$-$$ $$+$$ $$q-q^{2}+q^{4}+\beta _{3}q^{5}+(1-\beta _{2}+\beta _{6})q^{7}+\cdots$$