Results (45 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1444.1.b.a $$2$$ $$0.721$$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$0$$ $$-1$$ $$0$$ $$q-q^{2}+q^{4}+(-1+\beta )q^{5}-q^{8}+q^{9}+\cdots$$
1444.1.b.b $$2$$ $$0.721$$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$-1$$ $$0$$ $$q+q^{2}+q^{4}+(-1+\beta )q^{5}+q^{8}+q^{9}+\cdots$$
1444.1.c.a $$2$$ $$0.721$$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$2$$ $$2$$ $$q-\beta q^{3}+q^{5}+q^{7}-q^{9}-q^{11}-\beta q^{15}+\cdots$$
1444.1.g.a $$4$$ $$0.721$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$0$$ $$1$$ $$0$$ $$q+(-1-\beta _{3})q^{2}+\beta _{3}q^{4}+(1-\beta _{1}+\beta _{3})q^{5}+\cdots$$
1444.1.g.b $$4$$ $$0.721$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$1$$ $$0$$ $$q+(1+\beta _{3})q^{2}+\beta _{3}q^{4}+(1-\beta _{1}+\beta _{3})q^{5}+\cdots$$
1444.1.h.a $$2$$ $$0.721$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$1$$ $$-2$$ $$q-\zeta_{6}^{2}q^{5}-q^{7}-\zeta_{6}q^{9}-q^{11}-\zeta_{6}^{2}q^{17}+\cdots$$
1444.1.h.b $$4$$ $$0.721$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$-2$$ $$4$$ $$q+\beta _{1}q^{3}+(-1+\beta _{2})q^{5}+q^{7}+\beta _{2}q^{9}+\cdots$$
1444.1.j.a $$6$$ $$0.721$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$0$$ $$3$$ $$q-\zeta_{18}^{8}q^{5}+\zeta_{18}^{3}q^{7}+\zeta_{18}^{4}q^{9}+\cdots$$
1444.1.j.b $$12$$ $$0.721$$ 12.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$-6$$ $$q+(-\beta _{5}+\beta _{11})q^{3}+(\beta _{2}-\beta _{8})q^{5}+(-1+\cdots)q^{7}+\cdots$$
1444.1.l.a $$12$$ $$0.721$$ 12.0.$$\cdots$$.1 $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{3}+\beta _{9})q^{2}+(-\beta _{5}+\beta _{11})q^{4}+\cdots$$
1444.1.l.b $$12$$ $$0.721$$ 12.0.$$\cdots$$.1 $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{3}-\beta _{9})q^{2}+(-\beta _{5}+\beta _{11})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots$$
1444.2.a.a $$1$$ $$11.530$$ $$\Q$$ None None $$0$$ $$-2$$ $$-1$$ $$-3$$ $$+$$ $$q-2q^{3}-q^{5}-3q^{7}+q^{9}+5q^{11}+\cdots$$
1444.2.a.b $$1$$ $$11.530$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$0$$ $$-$$ $$q-q^{3}-q^{5}-2q^{9}-4q^{11}-q^{13}+\cdots$$
1444.2.a.c $$1$$ $$11.530$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$0$$ $$+$$ $$q+q^{3}-q^{5}-2q^{9}-4q^{11}+q^{13}+\cdots$$
1444.2.a.d $$2$$ $$11.530$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$-1$$ $$-2$$ $$4$$ $$+$$ $$q-\beta q^{3}-2\beta q^{5}+(1+2\beta )q^{7}+(-2+\cdots)q^{9}+\cdots$$
1444.2.a.e $$2$$ $$11.530$$ $$\Q(\sqrt{57})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$1$$ $$-3$$ $$-$$ $$q+\beta q^{5}+(-2+\beta )q^{7}-3q^{9}+(2+\beta )q^{11}+\cdots$$
1444.2.a.f $$2$$ $$11.530$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$1$$ $$-2$$ $$4$$ $$+$$ $$q+\beta q^{3}-2\beta q^{5}+(1+2\beta )q^{7}+(-2+\cdots)q^{9}+\cdots$$
1444.2.a.g $$6$$ $$11.530$$ 6.6.20319417.1 None None $$0$$ $$-3$$ $$-3$$ $$-3$$ $$+$$ $$q+(-\beta _{1}-\beta _{2}-\beta _{3})q^{3}-\beta _{4}q^{5}+(-1+\cdots)q^{7}+\cdots$$
1444.2.a.h $$6$$ $$11.530$$ 6.6.20319417.1 None None $$0$$ $$3$$ $$-3$$ $$-3$$ $$-$$ $$q+(\beta _{1}+\beta _{2}+\beta _{3})q^{3}-\beta _{4}q^{5}+(-1+\cdots)q^{7}+\cdots$$
1444.2.a.i $$8$$ $$11.530$$ 8.8.$$\cdots$$.1 None None $$0$$ $$0$$ $$14$$ $$8$$ $$-$$ $$q+(\beta _{3}+\beta _{5})q^{3}+(1+\beta _{1}+\beta _{4})q^{5}+(2+\cdots)q^{7}+\cdots$$
1444.2.e.a $$2$$ $$11.530$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-2$$ $$1$$ $$-6$$ $$q+(-2+2\zeta_{6})q^{3}+(1-\zeta_{6})q^{5}-3q^{7}+\cdots$$
1444.2.e.b $$2$$ $$11.530$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$1$$ $$0$$ $$q+(-1+\zeta_{6})q^{3}+(1-\zeta_{6})q^{5}+2\zeta_{6}q^{9}+\cdots$$
1444.2.e.c $$2$$ $$11.530$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$2$$ $$1$$ $$-6$$ $$q+(2-2\zeta_{6})q^{3}+(1-\zeta_{6})q^{5}-3q^{7}+\cdots$$
1444.2.e.d $$4$$ $$11.530$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None None $$0$$ $$-1$$ $$2$$ $$8$$ $$q-\beta _{1}q^{3}+2\beta _{1}q^{5}+(1-2\beta _{2})q^{7}+(\beta _{1}+\cdots)q^{9}+\cdots$$
1444.2.e.e $$4$$ $$11.530$$ $$\Q(\sqrt{-3}, \sqrt{-19})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$-1$$ $$-6$$ $$q+(-1-\beta _{1}+\beta _{3})q^{5}+(-1-\beta _{2})q^{7}+\cdots$$
1444.2.e.f $$4$$ $$11.530$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None None $$0$$ $$1$$ $$2$$ $$8$$ $$q+\beta _{1}q^{3}+2\beta _{1}q^{5}+(1-2\beta _{2})q^{7}+(\beta _{1}+\cdots)q^{9}+\cdots$$
1444.2.e.g $$12$$ $$11.530$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$-3$$ $$3$$ $$-6$$ $$q+(-\beta _{2}-\beta _{4}+\beta _{8})q^{3}+(1+\beta _{10}+\beta _{11})q^{5}+\cdots$$
1444.2.e.h $$12$$ $$11.530$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$3$$ $$3$$ $$-6$$ $$q+(-\beta _{5}-\beta _{11})q^{3}+\beta _{9}q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots$$
1444.2.e.i $$16$$ $$11.530$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$-14$$ $$16$$ $$q+(\beta _{5}-\beta _{14})q^{3}+(-\beta _{1}-\beta _{8}+2\beta _{9}+\cdots)q^{5}+\cdots$$
1444.3.c.a $$6$$ $$39.346$$ 6.0.253035008.1 None None $$0$$ $$0$$ $$2$$ $$-10$$ $$q+\beta _{3}q^{3}+(1+\beta _{2}+\beta _{4})q^{5}+(-2-2\beta _{2}+\cdots)q^{7}+\cdots$$
1444.3.c.b $$8$$ $$39.346$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$0$$ $$0$$ $$2$$ $$-12$$ $$q+(\beta _{2}-\beta _{3})q^{3}-\beta _{6}q^{5}+(-2+\beta _{1}+\cdots)q^{7}+\cdots$$
1444.3.c.c $$18$$ $$39.346$$ $$\mathbb{Q}[x]/(x^{18} + \cdots)$$ None None $$0$$ $$0$$ $$6$$ $$-18$$ $$q-\beta _{10}q^{3}+\beta _{6}q^{5}+(-1-\beta _{5})q^{7}+\cdots$$
1444.3.c.d $$24$$ $$39.346$$ None None $$0$$ $$0$$ $$-12$$ $$40$$
1444.4.a.a $$1$$ $$85.199$$ $$\Q$$ None None $$0$$ $$-7$$ $$2$$ $$-11$$ $$-$$ $$q-7q^{3}+2q^{5}-11q^{7}+22q^{9}+22q^{11}+\cdots$$
1444.4.a.b $$1$$ $$85.199$$ $$\Q$$ None None $$0$$ $$7$$ $$2$$ $$-11$$ $$-$$ $$q+7q^{3}+2q^{5}-11q^{7}+22q^{9}+22q^{11}+\cdots$$
1444.4.a.c $$2$$ $$85.199$$ $$\Q(\sqrt{57})$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$-14$$ $$36$$ $$-$$ $$q+(-7-2\beta )q^{5}+(18+\beta )q^{7}-3^{3}q^{9}+\cdots$$
1444.4.a.d $$2$$ $$85.199$$ $$\Q(\sqrt{33})$$ None None $$0$$ $$5$$ $$-5$$ $$-30$$ $$+$$ $$q+(3-\beta )q^{3}-5\beta q^{5}+(-17+4\beta )q^{7}+\cdots$$
1444.4.a.e $$3$$ $$85.199$$ 3.3.35529.1 None None $$0$$ $$-1$$ $$9$$ $$44$$ $$+$$ $$q+(-\beta _{1}-\beta _{2})q^{3}+(3+\beta _{2})q^{5}+(15+\cdots)q^{7}+\cdots$$
1444.4.a.f $$5$$ $$85.199$$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None None $$0$$ $$-7$$ $$4$$ $$-10$$ $$-$$ $$q+(-1-\beta _{1})q^{3}+(1+\beta _{3})q^{5}+(-2+\cdots)q^{7}+\cdots$$
1444.4.a.g $$5$$ $$85.199$$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None None $$0$$ $$7$$ $$4$$ $$-10$$ $$+$$ $$q+(1+\beta _{1})q^{3}+(1+\beta _{3})q^{5}+(-2+\beta _{1}+\cdots)q^{7}+\cdots$$
1444.4.a.h $$10$$ $$85.199$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$0$$ $$-2$$ $$13$$ $$-2$$ $$+$$ $$q-\beta _{1}q^{3}+(2-2\beta _{3}-\beta _{7})q^{5}+(\beta _{1}-2\beta _{3}+\cdots)q^{7}+\cdots$$
1444.4.a.i $$10$$ $$85.199$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$0$$ $$2$$ $$13$$ $$-2$$ $$+$$ $$q+\beta _{1}q^{3}+(2-2\beta _{3}-\beta _{7})q^{5}+(\beta _{1}-2\beta _{3}+\cdots)q^{7}+\cdots$$
1444.4.a.j $$15$$ $$85.199$$ $$\mathbb{Q}[x]/(x^{15} - \cdots)$$ None None $$0$$ $$0$$ $$12$$ $$-6$$ $$-$$ $$q-\beta _{1}q^{3}+(1-\beta _{9})q^{5}-\beta _{11}q^{7}+(9+\cdots)q^{9}+\cdots$$
1444.4.a.k $$15$$ $$85.199$$ $$\mathbb{Q}[x]/(x^{15} - \cdots)$$ None None $$0$$ $$0$$ $$12$$ $$-6$$ $$+$$ $$q+\beta _{1}q^{3}+(1-\beta _{9})q^{5}-\beta _{11}q^{7}+(9+\cdots)q^{9}+\cdots$$
1444.4.a.l $$16$$ $$85.199$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$-60$$ $$-4$$ $$-$$ $$q+\beta _{1}q^{3}+(-4+\beta _{9})q^{5}-\beta _{8}q^{7}+(6+\cdots)q^{9}+\cdots$$