## Results (displaying all 12 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.c $$1$$ $$31.980$$ $$\Q$$ None $$0$$ $$0$$ $$1$$ $$-4$$ $$+$$ $$-$$ $$-$$ $$q-2q^{4}+q^{5}-4q^{7}+2q^{11}+4q^{13}+\cdots$$
4005.2.a.e $$2$$ $$31.980$$ $$\Q(\sqrt{2})$$ None $$-2$$ $$0$$ $$-2$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-q^{5}-\beta q^{7}+\cdots$$
4005.2.a.f $$2$$ $$31.980$$ $$\Q(\sqrt{3})$$ None $$0$$ $$0$$ $$-2$$ $$-2$$ $$-$$ $$+$$ $$-$$ $$q+\beta q^{2}+q^{4}-q^{5}+(-1+\beta )q^{7}-\beta q^{8}+\cdots$$
4005.2.a.j $$3$$ $$31.980$$ $$\Q(\zeta_{14})^+$$ None $$2$$ $$0$$ $$-3$$ $$-5$$ $$-$$ $$+$$ $$-$$ $$q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}-q^{5}+\cdots$$
4005.2.a.k $$4$$ $$31.980$$ 4.4.8069.1 None $$-1$$ $$0$$ $$-4$$ $$12$$ $$-$$ $$+$$ $$-$$ $$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+3q^{7}+\cdots$$
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 $$-5$$ $$0$$ $$9$$ $$-3$$ $$-$$ $$-$$ $$+$$ $$q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots$$
4005.2.a.s $$10$$ $$31.980$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None $$-1$$ $$0$$ $$-10$$ $$-1$$ $$-$$ $$+$$ $$-$$ $$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+\beta _{6}q^{7}+\cdots$$
4005.2.a.u $$12$$ $$31.980$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$-3$$ $$0$$ $$12$$ $$-8$$ $$+$$ $$-$$ $$-$$ $$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(-1-\beta _{2}+\cdots)q^{7}+\cdots$$
4005.2.a.v $$12$$ $$31.980$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$3$$ $$0$$ $$-12$$ $$-8$$ $$+$$ $$+$$ $$+$$ $$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(-1-\beta _{2}+\cdots)q^{7}+\cdots$$