## Results (displaying all 16 matches)

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
4004.2.a.a $$1$$ $$31.972$$ $$\Q$$ None $$0$$ $$-2$$ $$0$$ $$1$$ $$-$$ $$q-2q^{3}+q^{7}+q^{9}-q^{11}+q^{13}+6q^{17}+\cdots$$
4004.2.a.b $$1$$ $$31.972$$ $$\Q$$ None $$0$$ $$-1$$ $$-3$$ $$-1$$ $$+$$ $$q-q^{3}-3q^{5}-q^{7}-2q^{9}-q^{11}+q^{13}+\cdots$$
4004.2.a.c $$1$$ $$31.972$$ $$\Q$$ None $$0$$ $$2$$ $$4$$ $$1$$ $$-$$ $$q+2q^{3}+4q^{5}+q^{7}+q^{9}+q^{11}-q^{13}+\cdots$$
4004.2.a.d $$4$$ $$31.972$$ 4.4.3981.1 None $$0$$ $$-3$$ $$-1$$ $$4$$ $$+$$ $$q+(-1-\beta _{3})q^{3}+(\beta _{2}+\beta _{3})q^{5}+q^{7}+\cdots$$
4004.2.a.e $$4$$ $$31.972$$ $$\Q(\zeta_{15})^+$$ None $$0$$ $$1$$ $$1$$ $$-4$$ $$+$$ $$q+(-\beta _{2}-\beta _{3})q^{3}+(1-\beta _{1}+\beta _{3})q^{5}+\cdots$$
4004.2.a.f $$5$$ $$31.972$$ 5.5.463341.1 None $$0$$ $$3$$ $$0$$ $$-5$$ $$+$$ $$q+(1-\beta _{1})q^{3}-\beta _{2}q^{5}-q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots$$
4004.2.a.g $$6$$ $$31.972$$ 6.6.246302029.1 None $$0$$ $$-2$$ $$-3$$ $$6$$ $$+$$ $$q-\beta _{1}q^{3}+(-1-\beta _{4})q^{5}+q^{7}+(1+\beta _{3}+\cdots)q^{9}+\cdots$$
4004.2.a.h $$9$$ $$31.972$$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None $$0$$ $$3$$ $$0$$ $$9$$ $$-$$ $$q+\beta _{1}q^{3}-\beta _{4}q^{5}+q^{7}+(2+\beta _{1}-\beta _{2}+\cdots)q^{9}+\cdots$$
4004.2.a.i $$9$$ $$31.972$$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None $$0$$ $$4$$ $$4$$ $$9$$ $$-$$ $$q+\beta _{1}q^{3}-\beta _{7}q^{5}+q^{7}+(1+\beta _{3}+\beta _{4}+\cdots)q^{9}+\cdots$$
4004.2.a.j $$10$$ $$31.972$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None $$0$$ $$-2$$ $$-2$$ $$-10$$ $$-$$ $$q-\beta _{1}q^{3}+\beta _{3}q^{5}-q^{7}+(1+\beta _{2})q^{9}+\cdots$$
4004.2.a.k $$10$$ $$31.972$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None $$0$$ $$1$$ $$4$$ $$-10$$ $$-$$ $$q+\beta _{1}q^{3}-\beta _{4}q^{5}-q^{7}+(2+\beta _{2})q^{9}+\cdots$$
4004.2.e.a $$48$$ $$31.972$$ None $$0$$ $$0$$ $$0$$ $$-4$$
4004.2.e.b $$48$$ $$31.972$$ None $$0$$ $$0$$ $$0$$ $$4$$
4004.2.m.a $$2$$ $$31.972$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$4$$ $$0$$ $$0$$ $$q+2q^{3}+iq^{5}+iq^{7}+q^{9}-iq^{11}+\cdots$$
4004.2.m.b $$30$$ $$31.972$$ None $$0$$ $$0$$ $$0$$ $$0$$
4004.2.m.c $$36$$ $$31.972$$ None $$0$$ $$-4$$ $$0$$ $$0$$