## Results (displaying matches 1-50 of 204) Next

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
945.1.n.a $$4$$ $$0.472$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{3}q^{5}-q^{7}-\zeta_{8}q^{8}+\cdots$$
945.1.n.b $$4$$ $$0.472$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{3}q^{5}-\zeta_{8}^{2}q^{7}+\zeta_{8}q^{8}+\cdots$$
945.1.y.a $$8$$ $$0.472$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{24}+\zeta_{24}^{7})q^{2}+\zeta_{24}^{8}q^{4}-\zeta_{24}^{7}q^{5}+\cdots$$
945.1.bg.a $$2$$ $$0.472$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$0$$ $$-1$$ $$1$$ $$q-\zeta_{6}q^{4}-\zeta_{6}q^{5}-\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{11}+\cdots$$
945.1.bg.b $$2$$ $$0.472$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$0$$ $$1$$ $$-1$$ $$q-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{11}+\cdots$$
945.1.cw.a $$6$$ $$0.472$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$-3$$ $$0$$ $$0$$ $$q+\zeta_{18}^{6}q^{3}+\zeta_{18}^{4}q^{4}-\zeta_{18}q^{5}-\zeta_{18}^{5}q^{7}+\cdots$$
945.1.cw.b $$6$$ $$0.472$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$3$$ $$0$$ $$0$$ $$q-\zeta_{18}^{6}q^{3}+\zeta_{18}^{4}q^{4}+\zeta_{18}q^{5}+\zeta_{18}^{5}q^{7}+\cdots$$
945.2.a.a $$2$$ $$7.546$$ $$\Q(\sqrt{5})$$ None None $$-3$$ $$0$$ $$2$$ $$2$$ $$+$$ $$q+(-1-\beta )q^{2}+3\beta q^{4}+q^{5}+q^{7}+\cdots$$
945.2.a.b $$2$$ $$7.546$$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$0$$ $$-2$$ $$-2$$ $$-$$ $$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-q^{5}-q^{7}+\cdots$$
945.2.a.c $$2$$ $$7.546$$ $$\Q(\sqrt{5})$$ None None $$-1$$ $$0$$ $$2$$ $$-2$$ $$+$$ $$q-\beta q^{2}+(-1+\beta )q^{4}+q^{5}-q^{7}+(-1+\cdots)q^{8}+\cdots$$
945.2.a.d $$2$$ $$7.546$$ $$\Q(\sqrt{5})$$ None None $$-1$$ $$0$$ $$2$$ $$-2$$ $$+$$ $$q-\beta q^{2}+(-1+\beta )q^{4}+q^{5}-q^{7}+(-1+\cdots)q^{8}+\cdots$$
945.2.a.e $$2$$ $$7.546$$ $$\Q(\sqrt{5})$$ None None $$-1$$ $$0$$ $$2$$ $$-2$$ $$-$$ $$q-\beta q^{2}+(-1+\beta )q^{4}+q^{5}-q^{7}+(-1+\cdots)q^{8}+\cdots$$
945.2.a.f $$2$$ $$7.546$$ $$\Q(\sqrt{13})$$ None None $$-1$$ $$0$$ $$-2$$ $$2$$ $$+$$ $$q-\beta q^{2}+(1+\beta )q^{4}-q^{5}+q^{7}-3q^{8}+\cdots$$
945.2.a.g $$2$$ $$7.546$$ $$\Q(\sqrt{5})$$ None None $$1$$ $$0$$ $$-2$$ $$-2$$ $$+$$ $$q+\beta q^{2}+(-1+\beta )q^{4}-q^{5}-q^{7}+(1+\cdots)q^{8}+\cdots$$
945.2.a.h $$2$$ $$7.546$$ $$\Q(\sqrt{5})$$ None None $$1$$ $$0$$ $$-2$$ $$-2$$ $$+$$ $$q+\beta q^{2}+(-1+\beta )q^{4}-q^{5}-q^{7}+(1+\cdots)q^{8}+\cdots$$
945.2.a.i $$2$$ $$7.546$$ $$\Q(\sqrt{5})$$ None None $$1$$ $$0$$ $$-2$$ $$-2$$ $$-$$ $$q+\beta q^{2}+(-1+\beta )q^{4}-q^{5}-q^{7}+(1+\cdots)q^{8}+\cdots$$
945.2.a.j $$2$$ $$7.546$$ $$\Q(\sqrt{13})$$ None None $$1$$ $$0$$ $$2$$ $$2$$ $$-$$ $$q+\beta q^{2}+(1+\beta )q^{4}+q^{5}+q^{7}+3q^{8}+\cdots$$
945.2.a.k $$2$$ $$7.546$$ $$\Q(\sqrt{2})$$ None None $$2$$ $$0$$ $$2$$ $$-2$$ $$-$$ $$q+(1+\beta )q^{2}+(1+2\beta )q^{4}+q^{5}-q^{7}+\cdots$$
945.2.a.l $$2$$ $$7.546$$ $$\Q(\sqrt{5})$$ None None $$3$$ $$0$$ $$-2$$ $$2$$ $$-$$ $$q+(1+\beta )q^{2}+3\beta q^{4}-q^{5}+q^{7}+(1+\cdots)q^{8}+\cdots$$
945.2.a.m $$4$$ $$7.546$$ 4.4.144344.1 None None $$-1$$ $$0$$ $$-4$$ $$4$$ $$-$$ $$q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}-q^{5}+q^{7}+(-1+\cdots)q^{8}+\cdots$$
945.2.a.n $$4$$ $$7.546$$ 4.4.144344.1 None None $$1$$ $$0$$ $$4$$ $$4$$ $$-$$ $$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+q^{5}+q^{7}+(1+\cdots)q^{8}+\cdots$$
945.2.b.a $$10$$ $$7.546$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None None $$0$$ $$0$$ $$-10$$ $$3$$ $$q+\beta _{1}q^{2}+(-1+\beta _{2})q^{4}-q^{5}-\beta _{8}q^{7}+\cdots$$
945.2.b.b $$10$$ $$7.546$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None None $$0$$ $$0$$ $$10$$ $$3$$ $$q+\beta _{1}q^{2}+(-1+\beta _{2})q^{4}+q^{5}-\beta _{7}q^{7}+\cdots$$
945.2.b.c $$12$$ $$7.546$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$-12$$ $$-2$$ $$q+\beta _{1}q^{2}+(-1+\beta _{2})q^{4}-q^{5}+\beta _{6}q^{7}+\cdots$$
945.2.b.d $$12$$ $$7.546$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$12$$ $$-2$$ $$q+\beta _{1}q^{2}+(-1+\beta _{2})q^{4}+q^{5}-\beta _{7}q^{7}+\cdots$$
945.2.d.a $$2$$ $$7.546$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+iq^{2}+q^{4}+(-1-2i)q^{5}-iq^{7}+\cdots$$
945.2.d.b $$2$$ $$7.546$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+iq^{2}+q^{4}+(1-2i)q^{5}+iq^{7}+3iq^{8}+\cdots$$
945.2.d.c $$8$$ $$7.546$$ 8.0.49787136.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}+(-1-\beta _{4})q^{4}+(-\beta _{5}+\beta _{6}+\cdots)q^{5}+\cdots$$
945.2.d.d $$10$$ $$7.546$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+\beta _{1}q^{2}+(-1+\beta _{2})q^{4}+\beta _{3}q^{5}-\beta _{5}q^{7}+\cdots$$
945.2.d.e $$10$$ $$7.546$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+\beta _{1}q^{2}+(-1+\beta _{2})q^{4}+\beta _{4}q^{5}+\beta _{5}q^{7}+\cdots$$
945.2.d.f $$16$$ $$7.546$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{10}q^{2}+(-2-\beta _{7})q^{4}-\beta _{9}q^{5}+\cdots$$
945.2.g.a $$32$$ $$7.546$$ None None $$0$$ $$0$$ $$0$$ $$0$$
945.2.g.b $$32$$ $$7.546$$ None None $$0$$ $$0$$ $$0$$ $$0$$
945.2.i.a $$2$$ $$7.546$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-1$$ $$-1$$ $$q+2\zeta_{6}q^{4}-\zeta_{6}q^{5}+(-1+\zeta_{6})q^{7}+\cdots$$
945.2.i.b $$2$$ $$7.546$$ $$\Q(\sqrt{-3})$$ None None $$2$$ $$0$$ $$-1$$ $$-1$$ $$q+(2-2\zeta_{6})q^{2}-2\zeta_{6}q^{4}-\zeta_{6}q^{5}+(-1+\cdots)q^{7}+\cdots$$
945.2.i.c $$8$$ $$7.546$$ $$\Q(\zeta_{15})$$ None None $$-1$$ $$0$$ $$-4$$ $$4$$ $$q+(-1-\zeta_{15}+\zeta_{15}^{2}-\zeta_{15}^{3})q^{2}+\cdots$$
945.2.i.d $$8$$ $$7.546$$ 8.0.142635249.1 None None $$-1$$ $$0$$ $$4$$ $$-4$$ $$q-\beta _{7}q^{2}+(\beta _{1}+\beta _{4}+\beta _{7})q^{4}+(1-\beta _{2}+\cdots)q^{5}+\cdots$$
945.2.i.e $$12$$ $$7.546$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$-3$$ $$0$$ $$-6$$ $$-6$$ $$q+(1-\beta _{1}+\beta _{4}-\beta _{5})q^{2}+(-2-\beta _{2}+\cdots)q^{4}+\cdots$$
945.2.i.f $$16$$ $$7.546$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$-1$$ $$0$$ $$8$$ $$8$$ $$q+(\beta _{1}-\beta _{13})q^{2}+(-\beta _{3}-\beta _{10})q^{4}+\cdots$$
945.2.j.a $$2$$ $$7.546$$ $$\Q(\sqrt{-3})$$ None None $$-1$$ $$0$$ $$-1$$ $$-1$$ $$q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{4}-\zeta_{6}q^{5}+(1-3\zeta_{6})q^{7}+\cdots$$
945.2.j.b $$2$$ $$7.546$$ $$\Q(\sqrt{-3})$$ None None $$1$$ $$0$$ $$1$$ $$-1$$ $$q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{4}+\zeta_{6}q^{5}+(1-3\zeta_{6})q^{7}+\cdots$$
945.2.j.c $$6$$ $$7.546$$ 6.0.1783323.2 None None $$-1$$ $$0$$ $$3$$ $$-2$$ $$q-\beta _{1}q^{2}+(-\beta _{3}-\beta _{4}+\beta _{5})q^{4}+(1+\cdots)q^{5}+\cdots$$
945.2.j.d $$6$$ $$7.546$$ 6.0.1783323.2 None None $$1$$ $$0$$ $$-3$$ $$-2$$ $$q+\beta _{1}q^{2}+(-\beta _{3}-\beta _{4}+\beta _{5})q^{4}+(-1+\cdots)q^{5}+\cdots$$
945.2.j.e $$10$$ $$7.546$$ 10.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$-5$$ $$-5$$ $$q+\beta _{1}q^{2}+(\beta _{2}-\beta _{6}+\beta _{9})q^{4}+(-1+\cdots)q^{5}+\cdots$$
945.2.j.f $$10$$ $$7.546$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None None $$0$$ $$0$$ $$-5$$ $$-1$$ $$q+(\beta _{1}-\beta _{2})q^{2}+(-1+\beta _{3}+\beta _{6}-\beta _{8}+\cdots)q^{4}+\cdots$$
945.2.j.g $$10$$ $$7.546$$ 10.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$5$$ $$-5$$ $$q+(\beta _{1}-\beta _{3})q^{2}+(-1+\beta _{6}-\beta _{9})q^{4}+\cdots$$
945.2.j.h $$10$$ $$7.546$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None None $$0$$ $$0$$ $$5$$ $$-1$$ $$q+(-\beta _{1}+\beta _{2})q^{2}+(-1+\beta _{3}+\beta _{6}+\cdots)q^{4}+\cdots$$
945.2.j.i $$14$$ $$7.546$$ $$\mathbb{Q}[x]/(x^{14} + \cdots)$$ None None $$0$$ $$0$$ $$-7$$ $$2$$ $$q+(-\beta _{1}-\beta _{2})q^{2}+(\beta _{3}-\beta _{7}+\beta _{10}+\cdots)q^{4}+\cdots$$
945.2.j.j $$14$$ $$7.546$$ $$\mathbb{Q}[x]/(x^{14} + \cdots)$$ None None $$0$$ $$0$$ $$7$$ $$2$$ $$q+(\beta _{1}+\beta _{2})q^{2}+(\beta _{3}-\beta _{7}+\beta _{10})q^{4}+\cdots$$
945.2.k.a $$4$$ $$7.546$$ $$\Q(\sqrt{-3}, \sqrt{13})$$ None None $$-1$$ $$0$$ $$4$$ $$-8$$ $$q-\beta _{1}q^{2}+(-1+\beta _{1}+\beta _{2}+\beta _{3})q^{4}+\cdots$$
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