## Results (35 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1340.1.t.a $$2$$ $$0.669$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-5})$$ None $$-1$$ $$-2$$ $$2$$ $$1$$ $$q-\zeta_{6}q^{2}-q^{3}+\zeta_{6}^{2}q^{4}+q^{5}+\zeta_{6}q^{6}+\cdots$$
1340.1.t.b $$2$$ $$0.669$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-5})$$ None $$1$$ $$2$$ $$2$$ $$-1$$ $$q+\zeta_{6}q^{2}+q^{3}+\zeta_{6}^{2}q^{4}+q^{5}+\zeta_{6}q^{6}+\cdots$$
1340.1.bb.a $$10$$ $$0.669$$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-5})$$ None $$-1$$ $$-2$$ $$-1$$ $$-2$$ $$q-\zeta_{22}q^{2}+(\zeta_{22}^{4}+\zeta_{22}^{8})q^{3}+\zeta_{22}^{2}q^{4}+\cdots$$
1340.1.bb.b $$10$$ $$0.669$$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-5})$$ None $$1$$ $$2$$ $$-1$$ $$2$$ $$q+\zeta_{22}q^{2}+(-\zeta_{22}^{4}-\zeta_{22}^{8})q^{3}+\zeta_{22}^{2}q^{4}+\cdots$$
1340.1.bl.a $$20$$ $$0.669$$ $$\Q(\zeta_{33})$$ $$\Q(\sqrt{-5})$$ None $$-1$$ $$-2$$ $$-2$$ $$1$$ $$q+\zeta_{66}^{31}q^{2}+(\zeta_{66}^{17}+\zeta_{66}^{25})q^{3}+\cdots$$
1340.1.bl.b $$20$$ $$0.669$$ $$\Q(\zeta_{33})$$ $$\Q(\sqrt{-5})$$ None $$1$$ $$2$$ $$-2$$ $$-1$$ $$q-\zeta_{66}^{31}q^{2}+(-\zeta_{66}^{17}-\zeta_{66}^{25}+\cdots)q^{3}+\cdots$$
1340.2.a.a $$1$$ $$10.700$$ $$\Q$$ None None $$0$$ $$-2$$ $$-1$$ $$2$$ $$-$$ $$q-2q^{3}-q^{5}+2q^{7}+q^{9}+2q^{13}+\cdots$$
1340.2.a.b $$1$$ $$10.700$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$1$$ $$+$$ $$q+q^{3}-q^{5}+q^{7}-2q^{9}-6q^{11}+2q^{13}+\cdots$$
1340.2.a.c $$1$$ $$10.700$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$5$$ $$-$$ $$q+q^{3}-q^{5}+5q^{7}-2q^{9}+2q^{13}+\cdots$$
1340.2.a.d $$2$$ $$10.700$$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-1$$ $$2$$ $$-3$$ $$+$$ $$q-\beta q^{3}+q^{5}+(-2+\beta )q^{7}+(1+\beta )q^{9}+\cdots$$
1340.2.a.e $$2$$ $$10.700$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$2$$ $$2$$ $$4$$ $$-$$ $$q+(1+\beta )q^{3}+q^{5}+2q^{7}+(1+2\beta )q^{9}+\cdots$$
1340.2.a.f $$3$$ $$10.700$$ $$\Q(\zeta_{14})^+$$ None None $$0$$ $$-2$$ $$3$$ $$-2$$ $$+$$ $$q+(-1-\beta _{2})q^{3}+q^{5}+(1-3\beta _{1}+2\beta _{2})q^{7}+\cdots$$
1340.2.a.g $$3$$ $$10.700$$ 3.3.257.1 None None $$0$$ $$4$$ $$-3$$ $$-2$$ $$-$$ $$q+(1+\beta _{1})q^{3}-q^{5}+(-1+\beta _{1}+\beta _{2})q^{7}+\cdots$$
1340.2.a.h $$4$$ $$10.700$$ 4.4.60513.1 None None $$0$$ $$-1$$ $$4$$ $$5$$ $$-$$ $$q-\beta _{1}q^{3}+q^{5}+(1+\beta _{3})q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots$$
1340.2.a.i $$5$$ $$10.700$$ 5.5.1465016.1 None None $$0$$ $$-2$$ $$-5$$ $$-10$$ $$+$$ $$q-\beta _{1}q^{3}-q^{5}+(-2+\beta _{2})q^{7}+(2+\beta _{1}+\cdots)q^{9}+\cdots$$
1340.2.d.a $$2$$ $$10.700$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+iq^{3}+(-2+i)q^{5}+3iq^{7}+2q^{9}+\cdots$$
1340.2.d.b $$8$$ $$10.700$$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None None $$0$$ $$0$$ $$16$$ $$0$$ $$q+\beta _{6}q^{3}+(2-\beta _{5})q^{5}+(-\beta _{1}-\beta _{5}+\cdots)q^{7}+\cdots$$
1340.2.d.c $$24$$ $$10.700$$ None None $$0$$ $$0$$ $$-10$$ $$0$$
1340.2.i.a $$2$$ $$10.700$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$2$$ $$2$$ $$1$$ $$q+q^{3}+q^{5}+\zeta_{6}q^{7}-2q^{9}+6\zeta_{6}q^{11}+\cdots$$
1340.2.i.b $$8$$ $$10.700$$ 8.0.5808268944.1 None None $$0$$ $$2$$ $$-8$$ $$2$$ $$q-\beta _{3}q^{3}-q^{5}+(\beta _{1}-\beta _{6})q^{7}+\beta _{2}q^{9}+\cdots$$
1340.2.i.c $$16$$ $$10.700$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$-2$$ $$-16$$ $$0$$ $$q-\beta _{6}q^{3}-q^{5}+\beta _{11}q^{7}+(2+\beta _{2})q^{9}+\cdots$$
1340.2.i.d $$18$$ $$10.700$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$0$$ $$-2$$ $$18$$ $$3$$ $$q+(-\beta _{1}+\beta _{5})q^{3}+q^{5}-\beta _{10}q^{7}+(1+\cdots)q^{9}+\cdots$$
1340.2.j.a $$68$$ $$10.700$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1340.2.o.a $$68$$ $$10.700$$ None None $$0$$ $$0$$ $$-2$$ $$0$$
1340.3.b.a $$2$$ $$36.512$$ $$\Q(\sqrt{-5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{3}-\beta q^{5}-\beta q^{7}+4q^{9}+6\beta q^{11}+\cdots$$
1340.3.b.b $$42$$ $$36.512$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1340.3.g.a $$68$$ $$36.512$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1340.3.q.a $$92$$ $$36.512$$ None None $$0$$ $$0$$ $$0$$ $$18$$
1340.4.a.a $$1$$ $$79.063$$ $$\Q$$ None None $$0$$ $$-4$$ $$-5$$ $$-16$$ $$-$$ $$q-4q^{3}-5q^{5}-2^{4}q^{7}-11q^{9}-2^{6}q^{11}+\cdots$$
1340.4.a.b $$16$$ $$79.063$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$-8$$ $$80$$ $$-43$$ $$-$$ $$q-\beta _{1}q^{3}+5q^{5}+(-3-\beta _{8})q^{7}+(8+\cdots)q^{9}+\cdots$$
1340.4.a.c $$16$$ $$79.063$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$-80$$ $$-39$$ $$-$$ $$q+\beta _{1}q^{3}-5q^{5}+(-2-\beta _{4})q^{7}+(11+\cdots)q^{9}+\cdots$$
1340.4.a.d $$16$$ $$79.063$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$8$$ $$-80$$ $$43$$ $$+$$ $$q+(1-\beta _{1})q^{3}-5q^{5}+(3-\beta _{4})q^{7}+(8+\cdots)q^{9}+\cdots$$
1340.4.a.e $$17$$ $$79.063$$ $$\mathbb{Q}[x]/(x^{17} - \cdots)$$ None None $$0$$ $$4$$ $$85$$ $$55$$ $$+$$ $$q+\beta _{1}q^{3}+5q^{5}+(3-\beta _{6})q^{7}+(11+\beta _{1}+\cdots)q^{9}+\cdots$$
1340.4.d.a $$98$$ $$79.063$$ None None $$0$$ $$0$$ $$-20$$ $$0$$
1340.5.b.a $$92$$ $$138.516$$ None None $$0$$ $$0$$ $$0$$ $$0$$