## Results (displaying matches 1-50 of 212) Next

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
490.2.a.a $$1$$ $$3.913$$ $$\Q$$ None $$-1$$ $$-2$$ $$1$$ $$0$$ $$-$$ $$q-q^{2}-2q^{3}+q^{4}+q^{5}+2q^{6}-q^{8}+\cdots$$
490.2.a.b $$1$$ $$3.913$$ $$\Q$$ None $$-1$$ $$-1$$ $$1$$ $$0$$ $$+$$ $$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$$
490.2.a.c $$1$$ $$3.913$$ $$\Q$$ None $$-1$$ $$1$$ $$-1$$ $$0$$ $$+$$ $$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$$
490.2.a.d $$1$$ $$3.913$$ $$\Q$$ None $$-1$$ $$2$$ $$-1$$ $$0$$ $$-$$ $$q-q^{2}+2q^{3}+q^{4}-q^{5}-2q^{6}-q^{8}+\cdots$$
490.2.a.e $$1$$ $$3.913$$ $$\Q$$ None $$1$$ $$-3$$ $$1$$ $$0$$ $$-$$ $$q+q^{2}-3q^{3}+q^{4}+q^{5}-3q^{6}+q^{8}+\cdots$$
490.2.a.f $$1$$ $$3.913$$ $$\Q$$ None $$1$$ $$-2$$ $$-1$$ $$0$$ $$+$$ $$q+q^{2}-2q^{3}+q^{4}-q^{5}-2q^{6}+q^{8}+\cdots$$
490.2.a.g $$1$$ $$3.913$$ $$\Q$$ None $$1$$ $$-2$$ $$-1$$ $$0$$ $$-$$ $$q+q^{2}-2q^{3}+q^{4}-q^{5}-2q^{6}+q^{8}+\cdots$$
490.2.a.h $$1$$ $$3.913$$ $$\Q$$ None $$1$$ $$0$$ $$1$$ $$0$$ $$-$$ $$q+q^{2}+q^{4}+q^{5}+q^{8}-3q^{9}+q^{10}+\cdots$$
490.2.a.i $$1$$ $$3.913$$ $$\Q$$ None $$1$$ $$2$$ $$1$$ $$0$$ $$-$$ $$q+q^{2}+2q^{3}+q^{4}+q^{5}+2q^{6}+q^{8}+\cdots$$
490.2.a.j $$1$$ $$3.913$$ $$\Q$$ None $$1$$ $$2$$ $$1$$ $$0$$ $$-$$ $$q+q^{2}+2q^{3}+q^{4}+q^{5}+2q^{6}+q^{8}+\cdots$$
490.2.a.k $$1$$ $$3.913$$ $$\Q$$ None $$1$$ $$3$$ $$-1$$ $$0$$ $$-$$ $$q+q^{2}+3q^{3}+q^{4}-q^{5}+3q^{6}+q^{8}+\cdots$$
490.2.a.l $$2$$ $$3.913$$ $$\Q(\sqrt{2})$$ None $$-2$$ $$-4$$ $$-2$$ $$0$$ $$+$$ $$q-q^{2}+(-2+\beta )q^{3}+q^{4}-q^{5}+(2+\cdots)q^{6}+\cdots$$
490.2.a.m $$2$$ $$3.913$$ $$\Q(\sqrt{2})$$ None $$-2$$ $$4$$ $$2$$ $$0$$ $$-$$ $$q-q^{2}+(2+\beta )q^{3}+q^{4}+q^{5}+(-2+\cdots)q^{6}+\cdots$$
490.2.c.a $$2$$ $$3.913$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+iq^{2}-q^{4}+(-2-i)q^{5}-iq^{8}+\cdots$$
490.2.c.b $$2$$ $$3.913$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+iq^{2}-3iq^{3}-q^{4}+(-1-2i)q^{5}+\cdots$$
490.2.c.c $$2$$ $$3.913$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+iq^{2}+3iq^{3}-q^{4}+(1+2i)q^{5}+\cdots$$
490.2.c.d $$2$$ $$3.913$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+iq^{2}-q^{4}+(2+i)q^{5}-iq^{8}+3q^{9}+\cdots$$
490.2.c.e $$4$$ $$3.913$$ $$\Q(i, \sqrt{6})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+\beta _{2}q^{2}+(\beta _{1}+\beta _{3})q^{3}-q^{4}+(-1+\cdots)q^{5}+\cdots$$
490.2.c.f $$4$$ $$3.913$$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{2}+(\zeta_{8}+\zeta_{8}^{3})q^{3}-q^{4}+(\zeta_{8}+\cdots)q^{5}+\cdots$$
490.2.c.g $$4$$ $$3.913$$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{2}q^{2}-q^{4}+(2\zeta_{8}+\zeta_{8}^{3})q^{5}+\zeta_{8}^{2}q^{8}+\cdots$$
490.2.e.a $$2$$ $$3.913$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-2$$ $$-1$$ $$0$$ $$q-\zeta_{6}q^{2}+(-2+2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
490.2.e.b $$2$$ $$3.913$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-2$$ $$-1$$ $$0$$ $$q-\zeta_{6}q^{2}+(-2+2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
490.2.e.c $$2$$ $$3.913$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$-1$$ $$0$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-\zeta_{6}q^{5}+q^{8}+\cdots$$
490.2.e.d $$2$$ $$3.913$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$1$$ $$0$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+\zeta_{6}q^{5}+q^{8}+\cdots$$
490.2.e.e $$2$$ $$3.913$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$2$$ $$1$$ $$0$$ $$q-\zeta_{6}q^{2}+(2-2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
490.2.e.f $$2$$ $$3.913$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$3$$ $$-1$$ $$0$$ $$q-\zeta_{6}q^{2}+(3-3\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
490.2.e.g $$2$$ $$3.913$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-2$$ $$1$$ $$0$$ $$q+\zeta_{6}q^{2}+(-2+2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
490.2.e.h $$2$$ $$3.913$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$1$$ $$-1$$ $$0$$ $$q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
490.2.e.i $$4$$ $$3.913$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None $$2$$ $$-4$$ $$-2$$ $$0$$ $$q+(1+\beta _{2})q^{2}+(\beta _{1}+2\beta _{2}+\beta _{3})q^{3}+\cdots$$
490.2.e.j $$4$$ $$3.913$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None $$2$$ $$4$$ $$2$$ $$0$$ $$q-\beta _{2}q^{2}+(2+\beta _{1}+2\beta _{2})q^{3}+(-1+\cdots)q^{4}+\cdots$$
490.2.g.a $$8$$ $$3.913$$ $$\Q(\zeta_{16})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{16}^{2}q^{2}+(-\zeta_{16}-\zeta_{16}^{3}-\zeta_{16}^{5}+\cdots)q^{3}+\cdots$$
490.2.g.b $$16$$ $$3.913$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{9}q^{2}+(-\beta _{11}-\beta _{12}+\beta _{13})q^{3}+\cdots$$
490.2.g.c $$16$$ $$3.913$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{5}q^{2}+(-\beta _{8}+\beta _{14})q^{3}-\beta _{9}q^{4}+\cdots$$
490.2.i.a $$4$$ $$3.913$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(-2+\zeta_{12}+\cdots)q^{5}+\cdots$$
490.2.i.b $$4$$ $$3.913$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+\zeta_{12}q^{2}+(3\zeta_{12}-3\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots$$
490.2.i.c $$8$$ $$3.913$$ $$\Q(\zeta_{24})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+(-\zeta_{24}+\zeta_{24}^{4})q^{2}+(-\zeta_{24}^{5}-\zeta_{24}^{6}+\cdots)q^{3}+\cdots$$
490.2.i.d $$8$$ $$3.913$$ $$\Q(\zeta_{24})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{2}q^{2}+\zeta_{24}^{4}q^{4}+(\zeta_{24}^{3}+2\zeta_{24}^{5}+\cdots)q^{5}+\cdots$$
490.2.i.e $$8$$ $$3.913$$ $$\Q(\zeta_{24})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{2}q^{2}+(-\zeta_{24}+\zeta_{24}^{7})q^{3}+\zeta_{24}^{4}q^{4}+\cdots$$
490.2.i.f $$8$$ $$3.913$$ $$\Q(\zeta_{24})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+(-\zeta_{24}+\zeta_{24}^{4})q^{2}+(-\zeta_{24}^{5}-\zeta_{24}^{6}+\cdots)q^{3}+\cdots$$
490.2.k.a $$6$$ $$3.913$$ $$\Q(\zeta_{14})$$ None $$-1$$ $$0$$ $$-1$$ $$7$$ $$q+(-1+\zeta_{14}-\zeta_{14}^{2}+\zeta_{14}^{3}-\zeta_{14}^{4}+\cdots)q^{2}+\cdots$$
490.2.k.b $$6$$ $$3.913$$ $$\Q(\zeta_{14})$$ None $$1$$ $$-1$$ $$1$$ $$-7$$ $$q+(1-\zeta_{14}+\zeta_{14}^{2}-\zeta_{14}^{3}+\zeta_{14}^{4}+\cdots)q^{2}+\cdots$$
490.2.k.c $$6$$ $$3.913$$ $$\Q(\zeta_{14})$$ None $$1$$ $$6$$ $$1$$ $$7$$ $$q+(1-\zeta_{14}+\zeta_{14}^{2}-\zeta_{14}^{3}+\zeta_{14}^{4}+\cdots)q^{2}+\cdots$$
490.2.k.d $$12$$ $$3.913$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$-2$$ $$-4$$ $$-2$$ $$0$$ $$q-\beta _{6}q^{2}+(-1-\beta _{3}-\beta _{4}-\beta _{7}-\beta _{10}+\cdots)q^{3}+\cdots$$
490.2.k.e $$12$$ $$3.913$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$2$$ $$-4$$ $$2$$ $$0$$ $$q-\beta _{2}q^{2}+(\beta _{2}-\beta _{6})q^{3}+(-1+\beta _{1}+\cdots)q^{4}+\cdots$$
490.2.k.f $$24$$ $$3.913$$ None $$4$$ $$6$$ $$-4$$ $$0$$
490.2.k.g $$30$$ $$3.913$$ None $$-5$$ $$1$$ $$5$$ $$1$$
490.2.l.a $$16$$ $$3.913$$ $$\Q(\zeta_{48})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{48}^{10}q^{2}+(-\zeta_{48}^{5}-\zeta_{48}^{7}+\zeta_{48}^{15})q^{3}+\cdots$$
490.2.l.b $$16$$ $$3.913$$ $$\Q(\zeta_{48})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{48}^{14}q^{2}+(-\zeta_{48}-\zeta_{48}^{3}+\zeta_{48}^{7}+\cdots)q^{3}+\cdots$$
490.2.l.c $$16$$ $$3.913$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$12$$ $$0$$ $$q+(-\beta _{7}-\beta _{15})q^{2}+(\beta _{4}-\beta _{13})q^{3}+\cdots$$
490.2.l.d $$32$$ $$3.913$$ None $$0$$ $$0$$ $$0$$ $$0$$
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