## Results (displaying matches 1-50 of 281) Next

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
630.2.a.a $$1$$ $$5.031$$ $$\Q$$ None $$-1$$ $$0$$ $$-1$$ $$-1$$ $$-$$ $$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$$
630.2.a.b $$1$$ $$5.031$$ $$\Q$$ None $$-1$$ $$0$$ $$-1$$ $$1$$ $$+$$ $$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$$
630.2.a.c $$1$$ $$5.031$$ $$\Q$$ None $$-1$$ $$0$$ $$-1$$ $$1$$ $$-$$ $$q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots$$
630.2.a.d $$1$$ $$5.031$$ $$\Q$$ None $$-1$$ $$0$$ $$1$$ $$-1$$ $$+$$ $$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$$
630.2.a.e $$1$$ $$5.031$$ $$\Q$$ None $$-1$$ $$0$$ $$1$$ $$-1$$ $$-$$ $$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$$
630.2.a.f $$1$$ $$5.031$$ $$\Q$$ None $$-1$$ $$0$$ $$1$$ $$1$$ $$-$$ $$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$$
630.2.a.g $$1$$ $$5.031$$ $$\Q$$ None $$1$$ $$0$$ $$-1$$ $$-1$$ $$-$$ $$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$$
630.2.a.h $$1$$ $$5.031$$ $$\Q$$ None $$1$$ $$0$$ $$-1$$ $$1$$ $$-$$ $$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$$
630.2.a.i $$1$$ $$5.031$$ $$\Q$$ None $$1$$ $$0$$ $$1$$ $$-1$$ $$-$$ $$q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots$$
630.2.a.j $$1$$ $$5.031$$ $$\Q$$ None $$1$$ $$0$$ $$1$$ $$1$$ $$-$$ $$q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots$$
630.2.b.a $$8$$ $$5.031$$ 8.0.7442857984.4 None $$0$$ $$0$$ $$-8$$ $$-4$$ $$q+\beta _{3}q^{2}-q^{4}-q^{5}+\beta _{6}q^{7}-\beta _{3}q^{8}+\cdots$$
630.2.b.b $$8$$ $$5.031$$ 8.0.7442857984.4 None $$0$$ $$0$$ $$8$$ $$-4$$ $$q-\beta _{3}q^{2}-q^{4}+q^{5}+\beta _{6}q^{7}+\beta _{3}q^{8}+\cdots$$
630.2.d.a $$4$$ $$5.031$$ $$\Q(\sqrt{-2}, \sqrt{-5})$$ None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}+\beta _{3}q^{5}+(-\beta _{1}-\beta _{2})q^{7}+\cdots$$
630.2.d.b $$4$$ $$5.031$$ $$\Q(\sqrt{-2}, \sqrt{5})$$ None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}+\beta _{3}q^{5}+(-\beta _{1}-\beta _{3})q^{7}+\cdots$$
630.2.d.c $$4$$ $$5.031$$ $$\Q(\sqrt{-2}, \sqrt{5})$$ None $$4$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}-\beta _{3}q^{5}+(\beta _{1}-\beta _{3})q^{7}+\cdots$$
630.2.d.d $$4$$ $$5.031$$ $$\Q(\sqrt{-2}, \sqrt{-5})$$ None $$4$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}-\beta _{3}q^{5}+(-\beta _{1}-\beta _{2})q^{7}+\cdots$$
630.2.g.a $$2$$ $$5.031$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+iq^{2}-q^{4}+(-2-i)q^{5}+iq^{7}+\cdots$$
630.2.g.b $$2$$ $$5.031$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+iq^{2}-q^{4}+(-1+2i)q^{5}-iq^{7}+\cdots$$
630.2.g.c $$2$$ $$5.031$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+iq^{2}-q^{4}+(-1-2i)q^{5}+iq^{7}+\cdots$$
630.2.g.d $$2$$ $$5.031$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+iq^{2}-q^{4}+(1+2i)q^{5}-iq^{7}-iq^{8}+\cdots$$
630.2.g.e $$2$$ $$5.031$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+iq^{2}-q^{4}+(1+2i)q^{5}+iq^{7}-iq^{8}+\cdots$$
630.2.g.f $$2$$ $$5.031$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+iq^{2}-q^{4}+(2-i)q^{5}-iq^{7}-iq^{8}+\cdots$$
630.2.g.g $$4$$ $$5.031$$ $$\Q(i, \sqrt{6})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-\beta _{2}q^{2}-q^{4}+(-1-\beta _{1}+\beta _{2})q^{5}+\cdots$$
630.2.i.a $$2$$ $$5.031$$ $$\Q(\sqrt{-3})$$ None $$-2$$ $$-3$$ $$-1$$ $$-1$$ $$q-q^{2}+(-1-\zeta_{6})q^{3}+q^{4}+(-1+\zeta_{6})q^{5}+\cdots$$
630.2.i.b $$2$$ $$5.031$$ $$\Q(\sqrt{-3})$$ None $$-2$$ $$-3$$ $$1$$ $$-4$$ $$q-q^{2}+(-2+\zeta_{6})q^{3}+q^{4}+(1-\zeta_{6})q^{5}+\cdots$$
630.2.i.c $$2$$ $$5.031$$ $$\Q(\sqrt{-3})$$ None $$2$$ $$3$$ $$-1$$ $$-5$$ $$q+q^{2}+(1+\zeta_{6})q^{3}+q^{4}+(-1+\zeta_{6})q^{5}+\cdots$$
630.2.i.d $$2$$ $$5.031$$ $$\Q(\sqrt{-3})$$ None $$2$$ $$3$$ $$1$$ $$-4$$ $$q+q^{2}+(2-\zeta_{6})q^{3}+q^{4}+(1-\zeta_{6})q^{5}+\cdots$$
630.2.i.e $$4$$ $$5.031$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None $$4$$ $$-6$$ $$2$$ $$-2$$ $$q+q^{2}+(-2-\beta _{1})q^{3}+q^{4}-\beta _{1}q^{5}+\cdots$$
630.2.i.f $$12$$ $$5.031$$ 12.0.$$\cdots$$.1 None $$-12$$ $$2$$ $$-6$$ $$4$$ $$q-q^{2}+(\beta _{4}-\beta _{7})q^{3}+q^{4}+(-1+\beta _{6}+\cdots)q^{5}+\cdots$$
630.2.i.g $$12$$ $$5.031$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$12$$ $$0$$ $$-6$$ $$4$$ $$q+q^{2}-\beta _{8}q^{3}+q^{4}+(-1-\beta _{6})q^{5}+\cdots$$
630.2.i.h $$12$$ $$5.031$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$12$$ $$2$$ $$6$$ $$8$$ $$q+q^{2}+(-\beta _{2}+\beta _{6})q^{3}+q^{4}+(1+\beta _{2}+\cdots)q^{5}+\cdots$$
630.2.i.i $$16$$ $$5.031$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$-16$$ $$2$$ $$8$$ $$4$$ $$q-q^{2}+(-\beta _{1}+\beta _{7})q^{3}+q^{4}+(1-\beta _{4}+\cdots)q^{5}+\cdots$$
630.2.j.a $$2$$ $$5.031$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$-1$$ $$-1$$ $$q+(-1+\zeta_{6})q^{2}+(-1+2\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
630.2.j.b $$2$$ $$5.031$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-3$$ $$1$$ $$-1$$ $$q+(1-\zeta_{6})q^{2}+(-1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
630.2.j.c $$2$$ $$5.031$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-3$$ $$1$$ $$1$$ $$q+(1-\zeta_{6})q^{2}+(-1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
630.2.j.d $$2$$ $$5.031$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$-1$$ $$-1$$ $$q+(1-\zeta_{6})q^{2}+(-1+2\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
630.2.j.e $$2$$ $$5.031$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$3$$ $$1$$ $$-1$$ $$q+(1-\zeta_{6})q^{2}+(1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
630.2.j.f $$4$$ $$5.031$$ $$\Q(\zeta_{12})$$ None $$2$$ $$0$$ $$-2$$ $$2$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{3}+(-1+\zeta_{12}+\cdots)q^{4}+\cdots$$
630.2.j.g $$4$$ $$5.031$$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None $$2$$ $$1$$ $$2$$ $$2$$ $$q+(1-\beta _{2})q^{2}-\beta _{3}q^{3}-\beta _{2}q^{4}+\beta _{2}q^{5}+\cdots$$
630.2.j.h $$4$$ $$5.031$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None $$2$$ $$2$$ $$-2$$ $$-2$$ $$q+\beta _{2}q^{2}+(-\beta _{1}+\beta _{2}+\beta _{3})q^{3}+(-1+\cdots)q^{4}+\cdots$$
630.2.j.i $$6$$ $$5.031$$ 6.0.954288.1 None $$-3$$ $$-1$$ $$-3$$ $$3$$ $$q+\beta _{3}q^{2}+(-\beta _{2}+\beta _{5})q^{3}+(-1-\beta _{3}+\cdots)q^{4}+\cdots$$
630.2.j.j $$6$$ $$5.031$$ 6.0.954288.1 None $$-3$$ $$-1$$ $$3$$ $$-3$$ $$q+\beta _{2}q^{2}-\beta _{1}q^{3}+(-1-\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots$$
630.2.j.k $$6$$ $$5.031$$ 6.0.954288.1 None $$-3$$ $$1$$ $$-3$$ $$-3$$ $$q+(-1-\beta _{3})q^{2}+\beta _{1}q^{3}+\beta _{3}q^{4}+\beta _{3}q^{5}+\cdots$$
630.2.j.l $$8$$ $$5.031$$ 8.0.856615824.2 None $$-4$$ $$-3$$ $$4$$ $$4$$ $$q+(-1+\beta _{1})q^{2}+\beta _{6}q^{3}-\beta _{1}q^{4}+\beta _{1}q^{5}+\cdots$$
630.2.k.a $$2$$ $$5.031$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$-1$$ $$-4$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-\zeta_{6}q^{5}+(-3+\cdots)q^{7}+\cdots$$
630.2.k.b $$2$$ $$5.031$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$-1$$ $$-1$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-\zeta_{6}q^{5}+(1+\cdots)q^{7}+\cdots$$
630.2.k.c $$2$$ $$5.031$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$-1$$ $$4$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-\zeta_{6}q^{5}+(1+\cdots)q^{7}+\cdots$$
630.2.k.d $$2$$ $$5.031$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$1$$ $$-4$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+\zeta_{6}q^{5}+(-3+\cdots)q^{7}+\cdots$$
630.2.k.e $$2$$ $$5.031$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$-1$$ $$-4$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-\zeta_{6}q^{5}+(-1+\cdots)q^{7}+\cdots$$
630.2.k.f $$2$$ $$5.031$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$-1$$ $$1$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-\zeta_{6}q^{5}+(-1+\cdots)q^{7}+\cdots$$
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