## Results (displaying all 28 matches)

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
4020.2.a.a $$1$$ $$32.100$$ $$\Q$$ None $$0$$ $$1$$ $$-1$$ $$-2$$ $$+$$ $$q+q^{3}-q^{5}-2q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots$$
4020.2.a.b $$4$$ $$32.100$$ 4.4.9301.1 None $$0$$ $$-4$$ $$-4$$ $$-1$$ $$+$$ $$q-q^{3}-q^{5}+(\beta _{1}+\beta _{2})q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots$$
4020.2.a.c $$4$$ $$32.100$$ 4.4.98117.1 None $$0$$ $$4$$ $$-4$$ $$1$$ $$+$$ $$q+q^{3}-q^{5}+\beta _{1}q^{7}+q^{9}+(-1-\beta _{1}+\cdots)q^{11}+\cdots$$
4020.2.a.d $$4$$ $$32.100$$ $$\Q(\zeta_{15})^+$$ None $$0$$ $$4$$ $$4$$ $$-3$$ $$+$$ $$q+q^{3}+q^{5}+(-\beta _{2}+\beta _{3})q^{7}+q^{9}+\cdots$$
4020.2.a.e $$5$$ $$32.100$$ 5.5.1257629.1 None $$0$$ $$-5$$ $$5$$ $$-3$$ $$+$$ $$q-q^{3}+q^{5}+(-1+\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{7}+\cdots$$
4020.2.a.f $$6$$ $$32.100$$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None $$0$$ $$-6$$ $$6$$ $$1$$ $$-$$ $$q-q^{3}+q^{5}+\beta _{1}q^{7}+q^{9}+(-1-\beta _{5})q^{11}+\cdots$$
4020.2.a.g $$6$$ $$32.100$$ 6.6.195727752.1 None $$0$$ $$6$$ $$-6$$ $$3$$ $$-$$ $$q+q^{3}-q^{5}+(\beta _{1}+\beta _{4})q^{7}+q^{9}+(-\beta _{2}+\cdots)q^{11}+\cdots$$
4020.2.a.h $$7$$ $$32.100$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None $$0$$ $$-7$$ $$-7$$ $$3$$ $$-$$ $$q-q^{3}-q^{5}+\beta _{1}q^{7}+q^{9}+(-1+\beta _{2}+\cdots)q^{11}+\cdots$$
4020.2.a.i $$7$$ $$32.100$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None $$0$$ $$7$$ $$7$$ $$1$$ $$-$$ $$q+q^{3}+q^{5}-\beta _{4}q^{7}+q^{9}+(\beta _{3}+\beta _{6})q^{11}+\cdots$$
4020.2.f.a $$46$$ $$32.100$$ None $$0$$ $$0$$ $$-46$$ $$0$$
4020.2.f.b $$46$$ $$32.100$$ None $$0$$ $$0$$ $$46$$ $$0$$
4020.2.g.a $$2$$ $$32.100$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+iq^{3}+(1-2i)q^{5}-q^{9}+2iq^{13}+\cdots$$
4020.2.g.b $$24$$ $$32.100$$ None $$0$$ $$0$$ $$-4$$ $$0$$
4020.2.g.c $$38$$ $$32.100$$ None $$0$$ $$0$$ $$-2$$ $$0$$
4020.2.q.a $$2$$ $$32.100$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$2$$ $$-3$$ $$q-q^{3}+q^{5}-3\zeta_{6}q^{7}+q^{9}-5\zeta_{6}q^{11}+\cdots$$
4020.2.q.b $$2$$ $$32.100$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$2$$ $$-3$$ $$q-q^{3}+q^{5}-3\zeta_{6}q^{7}+q^{9}+5\zeta_{6}q^{11}+\cdots$$
4020.2.q.c $$2$$ $$32.100$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$2$$ $$1$$ $$q-q^{3}+q^{5}+\zeta_{6}q^{7}+q^{9}-3\zeta_{6}q^{11}+\cdots$$
4020.2.q.d $$2$$ $$32.100$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$2$$ $$1$$ $$q-q^{3}+q^{5}+\zeta_{6}q^{7}+q^{9}+\zeta_{6}q^{11}+\cdots$$
4020.2.q.e $$2$$ $$32.100$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$2$$ $$-2$$ $$-1$$ $$q+q^{3}-q^{5}-\zeta_{6}q^{7}+q^{9}-3\zeta_{6}q^{11}+\cdots$$
4020.2.q.f $$2$$ $$32.100$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$2$$ $$-2$$ $$-1$$ $$q+q^{3}-q^{5}-\zeta_{6}q^{7}+q^{9}+\zeta_{6}q^{11}+\cdots$$
4020.2.q.g $$2$$ $$32.100$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$2$$ $$-2$$ $$-1$$ $$q+q^{3}-q^{5}-\zeta_{6}q^{7}+q^{9}+5\zeta_{6}q^{11}+\cdots$$
4020.2.q.h $$2$$ $$32.100$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$2$$ $$-2$$ $$1$$ $$q+q^{3}-q^{5}+\zeta_{6}q^{7}+q^{9}-3\zeta_{6}q^{11}+\cdots$$
4020.2.q.i $$4$$ $$32.100$$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None $$0$$ $$4$$ $$-4$$ $$-1$$ $$q+q^{3}-q^{5}+(-\beta _{1}+\beta _{3})q^{7}+q^{9}+\cdots$$
4020.2.q.j $$12$$ $$32.100$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$0$$ $$12$$ $$-12$$ $$2$$ $$q+q^{3}-q^{5}+(\beta _{1}-\beta _{6}-\beta _{9})q^{7}+q^{9}+\cdots$$
4020.2.q.k $$14$$ $$32.100$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None $$0$$ $$-14$$ $$14$$ $$3$$ $$q-q^{3}+q^{5}-\beta _{6}q^{7}+q^{9}+(1-\beta _{5}+\cdots)q^{11}+\cdots$$
4020.2.q.l $$22$$ $$32.100$$ None $$0$$ $$-22$$ $$-22$$ $$1$$
4020.2.q.m $$24$$ $$32.100$$ None $$0$$ $$24$$ $$24$$ $$-3$$
4020.3.c.a $$92$$ $$109.537$$ None $$0$$ $$0$$ $$0$$ $$0$$