## Results (34 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1143.1.d.a $$1$$ $$0.570$$ $$\Q$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-127})$$ $$\Q(\sqrt{381})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-q^{4}+2q^{13}+q^{16}-2q^{19}+q^{25}+\cdots$$
1143.1.d.b $$2$$ $$0.570$$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-127})$$ None $$1$$ $$0$$ $$0$$ $$0$$ $$q+(1-\beta )q^{2}+(1-\beta )q^{4}+q^{8}+\beta q^{11}+\cdots$$
1143.1.d.c $$4$$ $$0.570$$ $$\Q(\zeta_{20})^+$$ $$\Q(\sqrt{-127})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-\beta _{1}-\beta _{3})q^{8}+\cdots$$
1143.1.i.a $$4$$ $$0.570$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+q^{4}-\beta _{3}q^{5}+(\beta _{1}-\beta _{3})q^{11}+(-1+\cdots)q^{13}+\cdots$$
1143.1.l.a $$4$$ $$0.570$$ $$\Q(\zeta_{12})$$ None None $$2$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{2}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}q^{5}-\zeta_{12}^{5}q^{6}+\cdots$$
1143.1.t.a $$2$$ $$0.570$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-q^{4}+\zeta_{6}q^{13}+q^{16}+q^{19}+q^{25}+\cdots$$
1143.1.y.a $$6$$ $$0.570$$ $$\Q(\zeta_{14})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$7$$ $$q+\zeta_{14}q^{4}+(1+\zeta_{14}^{5})q^{7}+(-\zeta_{14}+\cdots)q^{13}+\cdots$$
1143.1.bo.a $$12$$ $$0.570$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-7$$ $$q+\zeta_{42}^{9}q^{4}+(-\zeta_{42}^{7}-\zeta_{42}^{10})q^{7}+\cdots$$
1143.2.a.a $$1$$ $$9.127$$ $$\Q$$ None None $$-2$$ $$0$$ $$-3$$ $$-4$$ $$-$$ $$q-2q^{2}+2q^{4}-3q^{5}-4q^{7}+6q^{10}+\cdots$$
1143.2.a.b $$1$$ $$9.127$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$0$$ $$+$$ $$q-2q^{4}-q^{5}+4q^{11}+q^{13}+4q^{16}+\cdots$$
1143.2.a.c $$1$$ $$9.127$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-2$$ $$+$$ $$q-2q^{4}+q^{5}-2q^{7}+4q^{11}-3q^{13}+\cdots$$
1143.2.a.d $$1$$ $$9.127$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$0$$ $$+$$ $$q-2q^{4}+q^{5}-4q^{11}+q^{13}+4q^{16}+\cdots$$
1143.2.a.e $$3$$ $$9.127$$ $$\Q(\zeta_{18})^+$$ None None $$3$$ $$0$$ $$6$$ $$-3$$ $$-$$ $$q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+(2+\cdots)q^{5}+\cdots$$
1143.2.a.f $$4$$ $$9.127$$ $$\Q(\sqrt{3}, \sqrt{7})$$ None None $$0$$ $$0$$ $$0$$ $$-6$$ $$+$$ $$q+(\beta _{1}+\beta _{3})q^{2}+q^{4}-\beta _{1}q^{5}+(-1+\cdots)q^{7}+\cdots$$
1143.2.a.g $$5$$ $$9.127$$ 5.5.246832.1 None None $$-2$$ $$0$$ $$-1$$ $$0$$ $$+$$ $$q-\beta _{2}q^{2}+(\beta _{1}+\beta _{2}+\beta _{3}+\beta _{4})q^{4}+\cdots$$
1143.2.a.h $$5$$ $$9.127$$ 5.5.81509.1 None None $$1$$ $$0$$ $$5$$ $$0$$ $$-$$ $$q+\beta _{1}q^{2}+\beta _{2}q^{4}+(1-\beta _{1}+\beta _{2}+\beta _{4})q^{5}+\cdots$$
1143.2.a.i $$7$$ $$9.127$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$-2$$ $$0$$ $$-8$$ $$-3$$ $$+$$ $$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{4})q^{5}+\cdots$$
1143.2.a.j $$9$$ $$9.127$$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None None $$2$$ $$0$$ $$4$$ $$10$$ $$-$$ $$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+\beta _{5}q^{5}+(1-\beta _{8})q^{7}+\cdots$$
1143.2.a.k $$16$$ $$9.127$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$10$$ $$-$$ $$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{14}q^{5}+(1+\cdots)q^{7}+\cdots$$
1143.2.c.a $$4$$ $$9.127$$ $$\Q(\sqrt{-2}, \sqrt{7})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2q^{4}+\beta _{3}q^{5}+\beta _{2}q^{7}-2\beta _{1}q^{11}+\cdots$$
1143.2.c.b $$20$$ $$9.127$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ $$\Q(\sqrt{-127})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(-2+\beta _{2})q^{4}+(-2\beta _{1}+\beta _{3}+\cdots)q^{8}+\cdots$$
1143.2.c.c $$20$$ $$9.127$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{11}q^{2}+(-1+\beta _{2})q^{4}-\beta _{12}q^{5}+\cdots$$
1143.2.j.a $$88$$ $$9.127$$ None None $$0$$ $$0$$ $$0$$ $$12$$
1143.3.b.a $$84$$ $$31.144$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1143.4.a.a $$1$$ $$67.439$$ $$\Q$$ None None $$1$$ $$0$$ $$15$$ $$-25$$ $$-$$ $$q+q^{2}-7q^{4}+15q^{5}-5^{2}q^{7}-15q^{8}+\cdots$$
1143.4.a.b $$4$$ $$67.439$$ $$\Q(\sqrt{13}, \sqrt{73})$$ None None $$0$$ $$0$$ $$0$$ $$-42$$ $$-$$ $$q-8q^{4}+\beta _{2}q^{5}+(-11-\beta _{3})q^{7}-\beta _{1}q^{11}+\cdots$$
1143.4.a.c $$11$$ $$67.439$$ $$\mathbb{Q}[x]/(x^{11} - \cdots)$$ None None $$5$$ $$0$$ $$10$$ $$-51$$ $$-$$ $$q+\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots$$
1143.4.a.d $$13$$ $$67.439$$ $$\mathbb{Q}[x]/(x^{13} - \cdots)$$ None None $$8$$ $$0$$ $$46$$ $$-26$$ $$+$$ $$q+(1-\beta _{1})q^{2}+(3-\beta _{1}+\beta _{8}+\beta _{9})q^{4}+\cdots$$
1143.4.a.e $$16$$ $$67.439$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$-3$$ $$0$$ $$-10$$ $$-9$$ $$-$$ $$q-\beta _{1}q^{2}+(5+\beta _{2})q^{4}+(-1+\beta _{11}+\cdots)q^{5}+\cdots$$
1143.4.a.f $$16$$ $$67.439$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$3$$ $$0$$ $$20$$ $$-9$$ $$+$$ $$q+\beta _{1}q^{2}+(4+\beta _{2})q^{4}+(1+\beta _{13})q^{5}+\cdots$$
1143.4.a.g $$17$$ $$67.439$$ $$\mathbb{Q}[x]/(x^{17} - \cdots)$$ None None $$-9$$ $$0$$ $$-69$$ $$55$$ $$-$$ $$q+(-1+\beta _{1})q^{2}+(5+\beta _{2})q^{4}+(-4+\cdots)q^{5}+\cdots$$
1143.4.a.h $$21$$ $$67.439$$ None None $$-1$$ $$0$$ $$-20$$ $$61$$ $$+$$
1143.4.a.i $$22$$ $$67.439$$ None None $$0$$ $$0$$ $$0$$ $$-10$$ $$-$$
1143.4.a.j $$36$$ $$67.439$$ None None $$0$$ $$0$$ $$0$$ $$60$$ $$+$$