## Results (1-50 of 338 matches)

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
450.2.a.a $$1$$ $$3.593$$ $$\Q$$ None $$-1$$ $$0$$ $$0$$ $$-2$$ $$+$$ $$q-q^{2}+q^{4}-2q^{7}-q^{8}-6q^{11}+4q^{13}+\cdots$$
450.2.a.b $$1$$ $$3.593$$ $$\Q$$ None $$-1$$ $$0$$ $$0$$ $$-2$$ $$+$$ $$q-q^{2}+q^{4}-2q^{7}-q^{8}-2q^{11}-6q^{13}+\cdots$$
450.2.a.c $$1$$ $$3.593$$ $$\Q$$ None $$-1$$ $$0$$ $$0$$ $$-2$$ $$-$$ $$q-q^{2}+q^{4}-2q^{7}-q^{8}+3q^{11}+4q^{13}+\cdots$$
450.2.a.d $$1$$ $$3.593$$ $$\Q$$ None $$-1$$ $$0$$ $$0$$ $$4$$ $$-$$ $$q-q^{2}+q^{4}+4q^{7}-q^{8}-2q^{13}-4q^{14}+\cdots$$
450.2.a.e $$1$$ $$3.593$$ $$\Q$$ None $$1$$ $$0$$ $$0$$ $$-2$$ $$-$$ $$q+q^{2}+q^{4}-2q^{7}+q^{8}+6q^{11}+4q^{13}+\cdots$$
450.2.a.f $$1$$ $$3.593$$ $$\Q$$ None $$1$$ $$0$$ $$0$$ $$2$$ $$-$$ $$q+q^{2}+q^{4}+2q^{7}+q^{8}-2q^{11}+6q^{13}+\cdots$$
450.2.a.g $$1$$ $$3.593$$ $$\Q$$ None $$1$$ $$0$$ $$0$$ $$2$$ $$-$$ $$q+q^{2}+q^{4}+2q^{7}+q^{8}+3q^{11}-4q^{13}+\cdots$$
450.2.c.a $$2$$ $$3.593$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-q^{4}+2iq^{7}-iq^{8}-6q^{11}+\cdots$$
450.2.c.b $$2$$ $$3.593$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-q^{4}-4iq^{7}-iq^{8}-2iq^{13}+\cdots$$
450.2.c.c $$2$$ $$3.593$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-q^{4}+2iq^{7}-iq^{8}+3q^{11}+\cdots$$
450.2.c.d $$2$$ $$3.593$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-q^{4}-2iq^{7}-iq^{8}+6q^{11}+\cdots$$
450.2.e.a $$2$$ $$3.593$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-3$$ $$0$$ $$-4$$ $$q+(-1+\zeta_{6})q^{2}+(-2+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
450.2.e.b $$2$$ $$3.593$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-3$$ $$0$$ $$1$$ $$q+(-1+\zeta_{6})q^{2}+(-2+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
450.2.e.c $$2$$ $$3.593$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$0$$ $$-2$$ $$q+(-1+\zeta_{6})q^{2}+(-1+2\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
450.2.e.d $$2$$ $$3.593$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$3$$ $$0$$ $$-4$$ $$q+(-1+\zeta_{6})q^{2}+(1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
450.2.e.e $$2$$ $$3.593$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-3$$ $$0$$ $$-1$$ $$q+(1-\zeta_{6})q^{2}+(-2+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
450.2.e.f $$2$$ $$3.593$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$0$$ $$2$$ $$q+(1-\zeta_{6})q^{2}+(1-2\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
450.2.e.g $$2$$ $$3.593$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$3$$ $$0$$ $$-1$$ $$q+(1-\zeta_{6})q^{2}+(2-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
450.2.e.h $$2$$ $$3.593$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$3$$ $$0$$ $$4$$ $$q+(1-\zeta_{6})q^{2}+(2-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
450.2.e.i $$2$$ $$3.593$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$3$$ $$0$$ $$2$$ $$q+(1-\zeta_{6})q^{2}+(1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
450.2.e.j $$4$$ $$3.593$$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None $$-2$$ $$-2$$ $$0$$ $$1$$ $$q+(-1+\beta _{2})q^{2}+(-\beta _{1}+\beta _{3})q^{3}-\beta _{2}q^{4}+\cdots$$
450.2.e.k $$4$$ $$3.593$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None $$-2$$ $$2$$ $$0$$ $$4$$ $$q-\beta _{2}q^{2}+(-\beta _{1}+\beta _{2}+\beta _{3})q^{3}+(-1+\cdots)q^{4}+\cdots$$
450.2.e.l $$4$$ $$3.593$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None $$-2$$ $$4$$ $$0$$ $$4$$ $$q+(-1+\beta _{2})q^{2}+(1-\beta _{3})q^{3}-\beta _{2}q^{4}+\cdots$$
450.2.e.m $$4$$ $$3.593$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None $$2$$ $$-4$$ $$0$$ $$-4$$ $$q+(1-\beta _{2})q^{2}+(-1+\beta _{3})q^{3}-\beta _{2}q^{4}+\cdots$$
450.2.e.n $$4$$ $$3.593$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None $$2$$ $$-2$$ $$0$$ $$-4$$ $$q+\beta _{2}q^{2}+(-\beta _{1}-\beta _{2}+\beta _{3})q^{3}+(-1+\cdots)q^{4}+\cdots$$
450.2.f.a $$4$$ $$3.593$$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$0$$ $$-12$$ $$q+\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+(-3+3\zeta_{8}^{2})q^{7}+\cdots$$
450.2.f.b $$4$$ $$3.593$$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$0$$ $$-8$$ $$q+\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+(-2+2\zeta_{8}^{2})q^{7}+\cdots$$
450.2.f.c $$4$$ $$3.593$$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$0$$ $$12$$ $$q+\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+(3-3\zeta_{8}^{2})q^{7}+\cdots$$
450.2.h.a $$4$$ $$3.593$$ $$\Q(\zeta_{10})$$ None $$-1$$ $$0$$ $$-5$$ $$-12$$ $$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$$
450.2.h.b $$4$$ $$3.593$$ $$\Q(\zeta_{10})$$ None $$-1$$ $$0$$ $$-5$$ $$8$$ $$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$$
450.2.h.c $$4$$ $$3.593$$ $$\Q(\zeta_{10})$$ None $$1$$ $$0$$ $$-5$$ $$6$$ $$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}-\zeta_{10}^{3}q^{4}+\cdots$$
450.2.h.d $$8$$ $$3.593$$ 8.0.1064390625.3 None $$-2$$ $$0$$ $$4$$ $$-2$$ $$q-\beta _{3}q^{2}+(-1-\beta _{2}+\beta _{3}-\beta _{5})q^{4}+\cdots$$
450.2.h.e $$8$$ $$3.593$$ 8.0.58140625.2 None $$2$$ $$0$$ $$0$$ $$4$$ $$q+\beta _{6}q^{2}-\beta _{3}q^{4}+(-\beta _{1}-\beta _{3})q^{5}+\cdots$$
450.2.h.f $$12$$ $$3.593$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$-3$$ $$0$$ $$1$$ $$-2$$ $$q-\beta _{7}q^{2}+(-1+\beta _{4}-\beta _{6}+\beta _{7})q^{4}+\cdots$$
450.2.h.g $$12$$ $$3.593$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$3$$ $$0$$ $$-1$$ $$-2$$ $$q+\beta _{7}q^{2}+(-1+\beta _{4}-\beta _{6}+\beta _{7})q^{4}+\cdots$$
450.2.j.a $$4$$ $$3.593$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+(-\zeta_{12}+2\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots$$
450.2.j.b $$4$$ $$3.593$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+(-2\zeta_{12}+\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots$$
450.2.j.c $$4$$ $$3.593$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+(\zeta_{12}+\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots$$
450.2.j.d $$4$$ $$3.593$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+(-\zeta_{12}-\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots$$
450.2.j.e $$4$$ $$3.593$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+(\zeta_{12}-2\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots$$
450.2.j.f $$8$$ $$3.593$$ $$\Q(\zeta_{24})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{24}+\zeta_{24}^{3})q^{2}+(\zeta_{24}^{3}+\zeta_{24}^{7})q^{3}+\cdots$$
450.2.j.g $$8$$ $$3.593$$ 8.0.303595776.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{2}+(\beta _{1}-\beta _{3}-\beta _{5}-\beta _{7})q^{3}+\cdots$$
450.2.l.a $$8$$ $$3.593$$ $$\Q(\zeta_{20})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{20}q^{2}+\zeta_{20}^{2}q^{4}+(\zeta_{20}+\zeta_{20}^{2}+\cdots)q^{5}+\cdots$$
450.2.l.b $$8$$ $$3.593$$ $$\Q(\zeta_{20})$$ None $$0$$ $$0$$ $$10$$ $$0$$ $$q+\zeta_{20}q^{2}+\zeta_{20}^{2}q^{4}+(1-\zeta_{20}-\zeta_{20}^{3}+\cdots)q^{5}+\cdots$$
450.2.l.c $$16$$ $$3.593$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-\beta _{8}q^{2}-\beta _{10}q^{4}+(-1-\beta _{3}+\beta _{5}+\cdots)q^{5}+\cdots$$
450.2.l.d $$16$$ $$3.593$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{11}q^{2}+(1+\beta _{3}+\beta _{4}+\beta _{5})q^{4}+\cdots$$
450.2.p.a $$8$$ $$3.593$$ $$\Q(\zeta_{24})$$ None $$0$$ $$-4$$ $$0$$ $$8$$ $$q+\zeta_{24}^{7}q^{2}+(-1-\zeta_{24}^{2}+\zeta_{24}^{4}+\cdots)q^{3}+\cdots$$
450.2.p.b $$8$$ $$3.593$$ $$\Q(\zeta_{24})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{7}q^{2}+(2\zeta_{24}-\zeta_{24}^{5})q^{3}-\zeta_{24}^{2}q^{4}+\cdots$$
450.2.p.c $$8$$ $$3.593$$ $$\Q(\zeta_{24})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{7}q^{2}+(\zeta_{24}^{3}-2\zeta_{24}^{7})q^{3}-\zeta_{24}^{2}q^{4}+\cdots$$
450.2.p.d $$8$$ $$3.593$$ $$\Q(\zeta_{24})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{7}q^{2}+(-2\zeta_{24}+\zeta_{24}^{5})q^{3}+\cdots$$