## Results (displaying all 14 matches)

Label Dim. $$A$$ Field CM Traces A-L signs $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$ 5 7 23
4025.2.a.b $$1$$ $$32.140$$ $$\Q$$ None $$-2$$ $$1$$ $$0$$ $$1$$ $$+$$ $$-$$ $$-$$ $$q-2q^{2}+q^{3}+2q^{4}-2q^{6}+q^{7}-2q^{9}+\cdots$$
4025.2.a.c $$1$$ $$32.140$$ $$\Q$$ None $$0$$ $$-1$$ $$0$$ $$1$$ $$-$$ $$-$$ $$+$$ $$q-q^{3}-2q^{4}+q^{7}-2q^{9}-q^{11}+2q^{12}+\cdots$$
4025.2.a.d $$1$$ $$32.140$$ $$\Q$$ None $$0$$ $$1$$ $$0$$ $$-1$$ $$-$$ $$+$$ $$-$$ $$q+q^{3}-2q^{4}-q^{7}-2q^{9}-q^{11}-2q^{12}+\cdots$$
4025.2.a.i $$2$$ $$32.140$$ $$\Q(\sqrt{5})$$ None $$1$$ $$2$$ $$0$$ $$2$$ $$+$$ $$-$$ $$-$$ $$q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots$$
4025.2.a.k $$3$$ $$32.140$$ $$\Q(\zeta_{14})^+$$ None $$2$$ $$0$$ $$0$$ $$3$$ $$+$$ $$-$$ $$-$$ $$q+(1-\beta _{1})q^{2}+(-1+\beta _{1}-2\beta _{2})q^{3}+\cdots$$
4025.2.a.l $$4$$ $$32.140$$ 4.4.2777.1 None $$-3$$ $$-6$$ $$0$$ $$4$$ $$+$$ $$-$$ $$-$$ $$q+(-1+\beta _{1})q^{2}+(-1-\beta _{3})q^{3}+(1+\cdots)q^{4}+\cdots$$
4025.2.a.q $$5$$ $$32.140$$ 5.5.255877.1 None $$1$$ $$4$$ $$0$$ $$-5$$ $$+$$ $$+$$ $$+$$ $$q+\beta _{1}q^{2}+(1+\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots$$
4025.2.a.s $$8$$ $$32.140$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$-3$$ $$-2$$ $$0$$ $$8$$ $$+$$ $$-$$ $$-$$ $$q-\beta _{1}q^{2}-\beta _{3}q^{3}+(\beta _{1}+\beta _{2})q^{4}+(\beta _{6}+\cdots)q^{6}+\cdots$$
4025.2.a.t $$8$$ $$32.140$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$-1$$ $$-7$$ $$0$$ $$-8$$ $$+$$ $$+$$ $$+$$ $$q-\beta _{1}q^{2}+(-1-\beta _{6})q^{3}+(1+\beta _{2})q^{4}+\cdots$$
4025.2.a.u $$8$$ $$32.140$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$-1$$ $$-4$$ $$0$$ $$8$$ $$-$$ $$-$$ $$+$$ $$q-\beta _{1}q^{2}+(-1-\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots$$
4025.2.a.x $$12$$ $$32.140$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$-2$$ $$0$$ $$0$$ $$12$$ $$-$$ $$-$$ $$+$$ $$q-\beta _{1}q^{2}+\beta _{6}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots$$
4025.2.a.y $$12$$ $$32.140$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$2$$ $$0$$ $$0$$ $$-12$$ $$-$$ $$+$$ $$-$$ $$q+\beta _{1}q^{2}-\beta _{6}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots$$
4025.2.a.z $$14$$ $$32.140$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None $$-3$$ $$-4$$ $$0$$ $$-14$$ $$+$$ $$+$$ $$+$$ $$q-\beta _{1}q^{2}+\beta _{7}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots$$
4025.2.a.ba $$14$$ $$32.140$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None $$-1$$ $$-6$$ $$0$$ $$-14$$ $$-$$ $$+$$ $$-$$ $$q-\beta _{1}q^{2}-\beta _{4}q^{3}+(1+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots$$