## Results (1-50 of 135 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
475.1.c.a $$1$$ $$0.237$$ $$\Q$$ $$\Q(\sqrt{-19})$$, $$\Q(\sqrt{-95})$$ $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+q^{4}+q^{9}-2q^{11}+q^{16}-q^{19}+\cdots$$
475.1.c.b $$2$$ $$0.237$$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-95})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta q^{2}-\beta q^{3}-q^{4}-2q^{6}-q^{9}+\beta q^{12}+\cdots$$
475.1.m.a $$4$$ $$0.237$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$-1$$ $$0$$ $$q+\zeta_{10}^{3}q^{4}-\zeta_{10}q^{5}+(\zeta_{10}+\zeta_{10}^{4}+\cdots)q^{7}+\cdots$$
475.1.o.a $$4$$ $$0.237$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$-1$$ $$-2$$ $$q+\zeta_{10}^{2}q^{4}+\zeta_{10}^{4}q^{5}+(-\zeta_{10}+\zeta_{10}^{4}+\cdots)q^{7}+\cdots$$
475.2.a.a $$1$$ $$3.793$$ $$\Q$$ None None $$-1$$ $$0$$ $$0$$ $$2$$ $$+$$ $$q-q^{2}-q^{4}+2q^{7}+3q^{8}-3q^{9}-4q^{11}+\cdots$$
475.2.a.b $$1$$ $$3.793$$ $$\Q$$ None None $$0$$ $$2$$ $$0$$ $$1$$ $$-$$ $$q+2q^{3}-2q^{4}+q^{7}+q^{9}+3q^{11}+\cdots$$
475.2.a.c $$1$$ $$3.793$$ $$\Q$$ None None $$1$$ $$0$$ $$0$$ $$-2$$ $$+$$ $$q+q^{2}-q^{4}-2q^{7}-3q^{8}-3q^{9}-4q^{11}+\cdots$$
475.2.a.d $$3$$ $$3.793$$ $$\Q(\zeta_{14})^+$$ None None $$-4$$ $$-2$$ $$0$$ $$0$$ $$+$$ $$q+(-1-\beta _{1})q^{2}+(-\beta _{1}+\beta _{2})q^{3}+(1+\cdots)q^{4}+\cdots$$
475.2.a.e $$3$$ $$3.793$$ 3.3.169.1 None None $$-2$$ $$-2$$ $$0$$ $$-4$$ $$+$$ $$q+(-1+\beta _{1})q^{2}+(-1-\beta _{2})q^{3}+(2+\cdots)q^{4}+\cdots$$
475.2.a.f $$3$$ $$3.793$$ 3.3.148.1 None None $$-1$$ $$-2$$ $$0$$ $$0$$ $$+$$ $$q-\beta _{1}q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots$$
475.2.a.g $$3$$ $$3.793$$ 3.3.169.1 None None $$2$$ $$2$$ $$0$$ $$4$$ $$-$$ $$q+(1-\beta _{1})q^{2}+(1+\beta _{2})q^{3}+(2-\beta _{1}+\cdots)q^{4}+\cdots$$
475.2.a.h $$3$$ $$3.793$$ $$\Q(\zeta_{14})^+$$ None None $$4$$ $$2$$ $$0$$ $$0$$ $$-$$ $$q+(1+\beta _{1})q^{2}+(\beta _{1}-\beta _{2})q^{3}+(1+2\beta _{1}+\cdots)q^{4}+\cdots$$
475.2.a.i $$4$$ $$3.793$$ 4.4.11344.1 None None $$2$$ $$-2$$ $$0$$ $$-4$$ $$-$$ $$q-\beta _{2}q^{2}+\beta _{3}q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+\cdots$$
475.2.a.j $$6$$ $$3.793$$ 6.6.66064384.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q-\beta _{4}q^{2}+(-\beta _{1}-\beta _{5})q^{3}+(1-\beta _{3}+\cdots)q^{4}+\cdots$$
475.2.b.a $$2$$ $$3.793$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{3}+2q^{4}-iq^{7}-q^{9}+3q^{11}+\cdots$$
475.2.b.b $$6$$ $$3.793$$ 6.0.1827904.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{4}+\beta _{5})q^{2}+(\beta _{1}+\beta _{4})q^{3}+(-1+\cdots)q^{4}+\cdots$$
475.2.b.c $$6$$ $$3.793$$ 6.0.153664.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{3}-\beta _{5})q^{2}+(\beta _{1}-\beta _{3})q^{3}+(-3+\cdots)q^{4}+\cdots$$
475.2.b.d $$6$$ $$3.793$$ 6.0.350464.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{4}q^{2}+(\beta _{2}-\beta _{4})q^{3}+\beta _{1}q^{4}+(-1+\cdots)q^{6}+\cdots$$
475.2.b.e $$8$$ $$3.793$$ 8.0.2058981376.2 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{6}q^{2}+\beta _{1}q^{3}+(-2-\beta _{3})q^{4}+(-\beta _{2}+\cdots)q^{6}+\cdots$$
475.2.e.a $$2$$ $$3.793$$ $$\Q(\sqrt{-3})$$ None None $$-2$$ $$0$$ $$0$$ $$-8$$ $$q+(-2+2\zeta_{6})q^{2}-2\zeta_{6}q^{4}-4q^{7}+\cdots$$
475.2.e.b $$2$$ $$3.793$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-2$$ $$0$$ $$8$$ $$q+(-2+2\zeta_{6})q^{3}+2\zeta_{6}q^{4}+4q^{7}+\cdots$$
475.2.e.c $$2$$ $$3.793$$ $$\Q(\sqrt{-3})$$ None None $$2$$ $$0$$ $$0$$ $$8$$ $$q+(2-2\zeta_{6})q^{2}-2\zeta_{6}q^{4}+4q^{7}+3\zeta_{6}q^{9}+\cdots$$
475.2.e.d $$6$$ $$3.793$$ 6.0.3518667.1 None None $$1$$ $$1$$ $$0$$ $$-4$$ $$q+\beta _{1}q^{2}+(-\beta _{1}-\beta _{3}+\beta _{5})q^{3}+(-3+\cdots)q^{4}+\cdots$$
475.2.e.e $$8$$ $$3.793$$ 8.0.4601315889.1 None None $$1$$ $$3$$ $$0$$ $$8$$ $$q-\beta _{7}q^{2}+(-\beta _{1}+\beta _{5})q^{3}+(-1+\beta _{4}+\cdots)q^{4}+\cdots$$
475.2.e.f $$12$$ $$3.793$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$-2$$ $$-3$$ $$0$$ $$4$$ $$q+(\beta _{7}+\beta _{8})q^{2}+(1-\beta _{1}+\beta _{2}+\beta _{9}+\cdots)q^{3}+\cdots$$
475.2.e.g $$12$$ $$3.793$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{5}q^{2}+(\beta _{4}-\beta _{5})q^{3}+(\beta _{2}-\beta _{3}+\beta _{8}+\cdots)q^{4}+\cdots$$
475.2.e.h $$12$$ $$3.793$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$2$$ $$3$$ $$0$$ $$-4$$ $$q+(-\beta _{7}-\beta _{8})q^{2}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots$$
475.2.g.a $$4$$ $$3.793$$ $$\Q(i, \sqrt{19})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$0$$ $$-6$$ $$q-2\beta _{1}q^{4}+(-2+2\beta _{1}+\beta _{3})q^{7}+3\beta _{1}q^{9}+\cdots$$
475.2.g.b $$12$$ $$3.793$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$12$$ $$q-\beta _{7}q^{2}+\beta _{5}q^{3}+(-\beta _{6}-\beta _{8})q^{4}+\cdots$$
475.2.g.c $$16$$ $$3.793$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ $$\Q(\sqrt{-95})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{9}q^{2}-\beta _{3}q^{3}+(-2\beta _{7}-\beta _{10})q^{4}+\cdots$$
475.2.g.d $$24$$ $$3.793$$ None None $$0$$ $$0$$ $$0$$ $$0$$
475.2.h.a $$84$$ $$3.793$$ None None $$-1$$ $$-2$$ $$2$$ $$0$$
475.2.h.b $$100$$ $$3.793$$ None None $$-1$$ $$-2$$ $$1$$ $$-10$$
475.2.j.a $$4$$ $$3.793$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{3}-2\zeta_{12}^{2}q^{4}+2\zeta_{12}^{3}q^{7}+\cdots$$
475.2.j.b $$12$$ $$3.793$$ 12.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{11}q^{3}+(2-\beta _{2}+3\beta _{3}+\cdots)q^{4}+\cdots$$
475.2.j.c $$16$$ $$3.793$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{14}q^{2}+(\beta _{7}+\beta _{13})q^{3}+(-\beta _{4}-\beta _{6}+\cdots)q^{4}+\cdots$$
475.2.j.d $$24$$ $$3.793$$ None None $$0$$ $$0$$ $$0$$ $$0$$
475.2.l.a $$6$$ $$3.793$$ $$\Q(\zeta_{18})$$ None None $$6$$ $$3$$ $$0$$ $$0$$ $$q+(1+\zeta_{18}-\zeta_{18}^{4}-\zeta_{18}^{5})q^{2}+(1+\cdots)q^{3}+\cdots$$
475.2.l.b $$18$$ $$3.793$$ $$\mathbb{Q}[x]/(x^{18} + \cdots)$$ None None $$-3$$ $$3$$ $$0$$ $$0$$ $$q+\beta _{14}q^{2}+(\beta _{4}-\beta _{6}+\beta _{7}+\beta _{15})q^{3}+\cdots$$
475.2.l.c $$18$$ $$3.793$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$3$$ $$3$$ $$0$$ $$0$$ $$q+(\beta _{4}-\beta _{15})q^{2}+(-\beta _{5}-\beta _{6}-\beta _{8}+\cdots)q^{3}+\cdots$$
475.2.l.d $$42$$ $$3.793$$ None None $$0$$ $$-3$$ $$0$$ $$0$$
475.2.l.e $$42$$ $$3.793$$ None None $$0$$ $$3$$ $$0$$ $$0$$
475.2.l.f $$48$$ $$3.793$$ None None $$0$$ $$0$$ $$0$$ $$0$$
475.2.n.a $$80$$ $$3.793$$ None None $$0$$ $$0$$ $$-3$$ $$0$$
475.2.n.b $$96$$ $$3.793$$ None None $$0$$ $$0$$ $$-4$$ $$0$$
475.2.p.a $$4$$ $$3.793$$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$4$$ $$0$$ $$0$$ $$q+(-1+\zeta_{12}+\zeta_{12}^{2})q^{2}+(2+2\zeta_{12}+\cdots)q^{3}+\cdots$$
475.2.p.b $$4$$ $$3.793$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$6$$ $$0$$ $$-8$$ $$q+(1+\zeta_{12}+\zeta_{12}^{2}-2\zeta_{12}^{3})q^{3}+(2\zeta_{12}+\cdots)q^{4}+\cdots$$
475.2.p.c $$4$$ $$3.793$$ $$\Q(\zeta_{12})$$ None None $$2$$ $$-4$$ $$0$$ $$0$$ $$q+(1-\zeta_{12}-\zeta_{12}^{2})q^{2}+(-2-2\zeta_{12}+\cdots)q^{3}+\cdots$$
475.2.p.d $$4$$ $$3.793$$ $$\Q(\zeta_{12})$$ None None $$6$$ $$6$$ $$0$$ $$8$$ $$q+(1-\zeta_{12}+\zeta_{12}^{2}+2\zeta_{12}^{3})q^{2}+(1+\cdots)q^{3}+\cdots$$
475.2.p.e $$16$$ $$3.793$$ 16.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{14}q^{2}+(\beta _{1}+\beta _{3})q^{3}-\beta _{5}q^{4}-\beta _{6}q^{6}+\cdots$$