Label Dim. $$A$$ Field CM Traces A-L signs $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$ 2 17 59
4012.2.a.b $$1$$ $$32.036$$ $$\Q$$ None $$0$$ $$-3$$ $$-1$$ $$-5$$ $$-$$ $$-$$ $$+$$ $$q-3q^{3}-q^{5}-5q^{7}+6q^{9}-2q^{11}+\cdots$$
4012.2.a.f $$3$$ $$32.036$$ 3.3.321.1 None $$0$$ $$-3$$ $$1$$ $$3$$ $$-$$ $$-$$ $$+$$ $$q-q^{3}-\beta _{1}q^{5}+q^{7}-2q^{9}-2q^{11}+\cdots$$
4012.2.a.h $$15$$ $$32.036$$ $$\mathbb{Q}[x]/(x^{15} - \cdots)$$ None $$0$$ $$-1$$ $$1$$ $$-11$$ $$-$$ $$-$$ $$+$$ $$q+\beta _{5}q^{3}-\beta _{8}q^{5}+(-1-\beta _{9})q^{7}+(1+\cdots)q^{9}+\cdots$$