Label Dim. $$A$$ Field CM Traces A-L signs $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$ 2 3 23 29
4002.2.a.bi $$8$$ $$31.956$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$-8$$ $$8$$ $$-3$$ $$-6$$ $$+$$ $$-$$ $$+$$ $$-$$ $$q-q^{2}+q^{3}+q^{4}-\beta _{4}q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots$$
4002.2.a.bj $$8$$ $$31.956$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$8$$ $$-8$$ $$1$$ $$0$$ $$-$$ $$+$$ $$-$$ $$-$$ $$q+q^{2}-q^{3}+q^{4}+\beta _{1}q^{5}-q^{6}-\beta _{4}q^{7}+\cdots$$
4002.2.a.bk $$8$$ $$31.956$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$8$$ $$-8$$ $$2$$ $$5$$ $$-$$ $$+$$ $$+$$ $$+$$ $$q+q^{2}-q^{3}+q^{4}+\beta _{1}q^{5}-q^{6}+(1+\cdots)q^{7}+\cdots$$