## Results (displaying matches 1-50 of 90) Next

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
574.2.a.a $$1$$ $$4.583$$ $$\Q$$ None $$-1$$ $$-2$$ $$4$$ $$1$$ $$-$$ $$q-q^{2}-2q^{3}+q^{4}+4q^{5}+2q^{6}+q^{7}+\cdots$$
574.2.a.b $$1$$ $$4.583$$ $$\Q$$ None $$-1$$ $$-1$$ $$1$$ $$-1$$ $$+$$ $$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots$$
574.2.a.c $$1$$ $$4.583$$ $$\Q$$ None $$-1$$ $$1$$ $$-3$$ $$1$$ $$+$$ $$q-q^{2}+q^{3}+q^{4}-3q^{5}-q^{6}+q^{7}+\cdots$$
574.2.a.d $$1$$ $$4.583$$ $$\Q$$ None $$-1$$ $$2$$ $$-2$$ $$-1$$ $$+$$ $$q-q^{2}+2q^{3}+q^{4}-2q^{5}-2q^{6}-q^{7}+\cdots$$
574.2.a.e $$1$$ $$4.583$$ $$\Q$$ None $$-1$$ $$2$$ $$2$$ $$1$$ $$-$$ $$q-q^{2}+2q^{3}+q^{4}+2q^{5}-2q^{6}+q^{7}+\cdots$$
574.2.a.f $$1$$ $$4.583$$ $$\Q$$ None $$-1$$ $$3$$ $$-1$$ $$1$$ $$-$$ $$q-q^{2}+3q^{3}+q^{4}-q^{5}-3q^{6}+q^{7}+\cdots$$
574.2.a.g $$1$$ $$4.583$$ $$\Q$$ None $$1$$ $$-3$$ $$-1$$ $$1$$ $$+$$ $$q+q^{2}-3q^{3}+q^{4}-q^{5}-3q^{6}+q^{7}+\cdots$$
574.2.a.h $$1$$ $$4.583$$ $$\Q$$ None $$1$$ $$-1$$ $$-1$$ $$-1$$ $$+$$ $$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$$
574.2.a.i $$1$$ $$4.583$$ $$\Q$$ None $$1$$ $$-1$$ $$1$$ $$1$$ $$-$$ $$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$$
574.2.a.j $$1$$ $$4.583$$ $$\Q$$ None $$1$$ $$0$$ $$-4$$ $$1$$ $$+$$ $$q+q^{2}+q^{4}-4q^{5}+q^{7}+q^{8}-3q^{9}+\cdots$$
574.2.a.k $$2$$ $$4.583$$ $$\Q(\sqrt{3})$$ None $$2$$ $$4$$ $$2$$ $$2$$ $$-$$ $$q+q^{2}+2q^{3}+q^{4}+(1+\beta )q^{5}+2q^{6}+\cdots$$
574.2.a.l $$3$$ $$4.583$$ 3.3.568.1 None $$3$$ $$1$$ $$1$$ $$-3$$ $$-$$ $$q+q^{2}-\beta _{2}q^{3}+q^{4}+\beta _{1}q^{5}-\beta _{2}q^{6}+\cdots$$
574.2.a.m $$4$$ $$4.583$$ 4.4.11348.1 None $$-4$$ $$-1$$ $$3$$ $$-4$$ $$-$$ $$q-q^{2}-\beta _{2}q^{3}+q^{4}+(1-\beta _{2}+\beta _{3})q^{5}+\cdots$$
574.2.c.a $$2$$ $$4.583$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$2$$ $$0$$ $$q+q^{2}+iq^{3}+q^{4}+q^{5}+iq^{6}+iq^{7}+\cdots$$
574.2.c.b $$8$$ $$4.583$$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None $$8$$ $$0$$ $$6$$ $$0$$ $$q+q^{2}+\beta _{1}q^{3}+q^{4}+(1-\beta _{6})q^{5}+\beta _{1}q^{6}+\cdots$$
574.2.c.c $$10$$ $$4.583$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None $$-10$$ $$0$$ $$-4$$ $$0$$ $$q-q^{2}+\beta _{1}q^{3}+q^{4}+(\beta _{4}-\beta _{8})q^{5}+\cdots$$
574.2.e.a $$2$$ $$4.583$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-2$$ $$2$$ $$5$$ $$q-\zeta_{6}q^{2}+(-2+2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
574.2.e.b $$2$$ $$4.583$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$1$$ $$1$$ $$5$$ $$q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
574.2.e.c $$2$$ $$4.583$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$3$$ $$1$$ $$-1$$ $$q+\zeta_{6}q^{2}+(3-3\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
574.2.e.d $$4$$ $$4.583$$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None $$2$$ $$-1$$ $$1$$ $$-10$$ $$q+(1-\beta _{1})q^{2}-\beta _{3}q^{3}-\beta _{1}q^{4}+(1+\beta _{2}+\cdots)q^{5}+\cdots$$
574.2.e.e $$6$$ $$4.583$$ 6.0.309123.1 None $$-3$$ $$3$$ $$-4$$ $$-4$$ $$q+(-1+\beta _{4})q^{2}+\beta _{4}q^{3}-\beta _{4}q^{4}+(-1+\cdots)q^{5}+\cdots$$
574.2.e.f $$8$$ $$4.583$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$4$$ $$-4$$ $$-3$$ $$5$$ $$q+\beta _{2}q^{2}+(-1+\beta _{2})q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots$$
574.2.e.g $$12$$ $$4.583$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$6$$ $$-1$$ $$0$$ $$-1$$ $$q-\beta _{8}q^{2}+\beta _{2}q^{3}+(-1-\beta _{8})q^{4}+\beta _{10}q^{5}+\cdots$$
574.2.e.h $$20$$ $$4.583$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$-10$$ $$1$$ $$-2$$ $$1$$ $$q+\beta _{10}q^{2}+(-\beta _{1}+\beta _{2})q^{3}+(-1-\beta _{10}+\cdots)q^{4}+\cdots$$
574.2.f.a $$20$$ $$4.583$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+\beta _{14}q^{2}+\beta _{13}q^{3}-q^{4}+\beta _{4}q^{5}+\cdots$$
574.2.f.b $$24$$ $$4.583$$ None $$0$$ $$0$$ $$0$$ $$0$$
574.2.h.a $$4$$ $$4.583$$ $$\Q(\zeta_{10})$$ None $$-1$$ $$-2$$ $$1$$ $$-1$$ $$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$$
574.2.h.b $$4$$ $$4.583$$ $$\Q(\zeta_{10})$$ None $$-1$$ $$0$$ $$4$$ $$-1$$ $$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$$
574.2.h.c $$4$$ $$4.583$$ $$\Q(\zeta_{10})$$ None $$1$$ $$-12$$ $$-2$$ $$-1$$ $$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}-3q^{3}+\cdots$$
574.2.h.d $$4$$ $$4.583$$ $$\Q(\zeta_{10})$$ None $$1$$ $$2$$ $$6$$ $$-1$$ $$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(1+\cdots)q^{3}+\cdots$$
574.2.h.e $$4$$ $$4.583$$ $$\Q(\zeta_{10})$$ None $$1$$ $$4$$ $$-2$$ $$-1$$ $$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(2+\cdots)q^{3}+\cdots$$
574.2.h.f $$4$$ $$4.583$$ $$\Q(\zeta_{10})$$ None $$1$$ $$6$$ $$-1$$ $$1$$ $$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(2+\cdots)q^{3}+\cdots$$
574.2.h.g $$8$$ $$4.583$$ 8.0.4709390625.5 None $$-2$$ $$-4$$ $$3$$ $$-2$$ $$q-\beta _{4}q^{2}+(-\beta _{3}+\beta _{5})q^{3}+\beta _{5}q^{4}+\cdots$$
574.2.h.h $$8$$ $$4.583$$ 8.0.123765625.1 None $$-2$$ $$-2$$ $$1$$ $$2$$ $$q+\beta _{2}q^{2}+(-1-\beta _{3}+\beta _{4}-\beta _{7})q^{3}+\cdots$$
574.2.h.i $$8$$ $$4.583$$ 8.0.511890625.1 None $$-2$$ $$12$$ $$-1$$ $$2$$ $$q-\beta _{2}q^{2}+(1+\beta _{2}+\beta _{7})q^{3}+\beta _{4}q^{4}+\cdots$$
574.2.h.j $$12$$ $$4.583$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$3$$ $$6$$ $$-4$$ $$-3$$ $$q+\beta _{1}q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+\beta _{6}q^{4}+\cdots$$
574.2.h.k $$20$$ $$4.583$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$5$$ $$-6$$ $$-1$$ $$5$$ $$q-\beta _{4}q^{2}-\beta _{6}q^{3}+\beta _{3}q^{4}+\beta _{18}q^{5}+\cdots$$
574.2.j.a $$28$$ $$4.583$$ None $$-14$$ $$0$$ $$0$$ $$0$$
574.2.j.b $$28$$ $$4.583$$ None $$14$$ $$0$$ $$4$$ $$0$$
574.2.m.a $$56$$ $$4.583$$ None $$0$$ $$0$$ $$0$$ $$-4$$
574.2.m.b $$56$$ $$4.583$$ None $$0$$ $$0$$ $$0$$ $$4$$
574.2.n.a $$40$$ $$4.583$$ None $$-10$$ $$0$$ $$-8$$ $$0$$
574.2.n.b $$40$$ $$4.583$$ None $$10$$ $$0$$ $$4$$ $$0$$
574.2.r.a $$8$$ $$4.583$$ $$\Q(\zeta_{24})$$ None $$0$$ $$-4$$ $$0$$ $$12$$ $$q+(\zeta_{24}^{2}-\zeta_{24}^{6})q^{2}+(-1+\zeta_{24}^{2}+\cdots)q^{3}+\cdots$$
574.2.r.b $$8$$ $$4.583$$ 8.0.303595776.1 None $$0$$ $$-2$$ $$0$$ $$6$$ $$q+\beta _{2}q^{2}+(\beta _{3}+\beta _{4}-\beta _{5})q^{3}-\beta _{4}q^{4}+\cdots$$
574.2.r.c $$40$$ $$4.583$$ None $$0$$ $$4$$ $$0$$ $$-12$$
574.2.r.d $$56$$ $$4.583$$ None $$0$$ $$2$$ $$0$$ $$-6$$
574.2.s.a $$112$$ $$4.583$$ None $$-14$$ $$2$$ $$0$$ $$2$$
574.2.s.b $$112$$ $$4.583$$ None $$14$$ $$-2$$ $$4$$ $$-2$$
574.2.u.a $$80$$ $$4.583$$ None $$0$$ $$4$$ $$0$$ $$0$$
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