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## Results (33 matches)

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Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1148.1.o.a $$2$$ $$0.573$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-41})$$ None $$-1$$ $$-1$$ $$1$$ $$1$$ $$q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}+\cdots$$
1148.1.o.b $$2$$ $$0.573$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-41})$$ None $$-1$$ $$1$$ $$1$$ $$-1$$ $$q-\zeta_{6}q^{2}-\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}+\cdots$$
1148.1.o.c $$4$$ $$0.573$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-41})$$ None $$-2$$ $$0$$ $$-2$$ $$0$$ $$q+\zeta_{12}^{4}q^{2}+(\zeta_{12}+\zeta_{12}^{3})q^{3}-\zeta_{12}^{2}q^{4}+\cdots$$
1148.1.o.d $$8$$ $$0.573$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-41})$$ None $$4$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{8}q^{2}+(-\zeta_{24}^{9}+\zeta_{24}^{11})q^{3}+\cdots$$
1148.1.bc.a $$8$$ $$0.573$$ $$\Q(\zeta_{20})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+\zeta_{20}^{5}q^{3}-\zeta_{20}q^{5}-\zeta_{20}^{2}q^{7}+(\zeta_{20}^{2}+\cdots)q^{11}+\cdots$$
1148.1.bj.a $$8$$ $$0.573$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{2}q^{2}-\zeta_{24}^{7}q^{3}+\zeta_{24}^{4}q^{4}+\cdots$$
1148.2.a.a $$2$$ $$9.167$$ $$\Q(\sqrt{13})$$ None None $$0$$ $$-3$$ $$-3$$ $$2$$ $$+$$ $$q+(-1-\beta )q^{3}+(-1-\beta )q^{5}+q^{7}+\cdots$$
1148.2.a.b $$3$$ $$9.167$$ $$\Q(\zeta_{18})^+$$ None None $$0$$ $$-3$$ $$0$$ $$3$$ $$+$$ $$q+(-1+\beta _{1})q^{3}+(-2\beta _{1}+2\beta _{2})q^{5}+\cdots$$
1148.2.a.c $$5$$ $$9.167$$ 5.5.470117.1 None None $$0$$ $$-2$$ $$-1$$ $$-5$$ $$+$$ $$q-\beta _{1}q^{3}+(-1+\beta _{1}-\beta _{2})q^{5}-q^{7}+\cdots$$
1148.2.a.d $$5$$ $$9.167$$ 5.5.287349.1 None None $$0$$ $$2$$ $$-3$$ $$-5$$ $$-$$ $$q+\beta _{2}q^{3}+(-1+\beta _{2}-\beta _{3})q^{5}-q^{7}+\cdots$$
1148.2.a.e $$5$$ $$9.167$$ 5.5.1935333.1 None None $$0$$ $$2$$ $$3$$ $$5$$ $$-$$ $$q+\beta _{1}q^{3}+(1+\beta _{4})q^{5}+q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots$$
1148.2.d.a $$20$$ $$9.167$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+\beta _{12}q^{3}+\beta _{2}q^{5}-\beta _{9}q^{7}+(-1-\beta _{7}+\cdots)q^{9}+\cdots$$
1148.2.i.a $$2$$ $$9.167$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$3$$ $$5$$ $$q+(-1+\zeta_{6})q^{3}+3\zeta_{6}q^{5}+(2+\zeta_{6})q^{7}+\cdots$$
1148.2.i.b $$2$$ $$9.167$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$1$$ $$-4$$ $$q+(1-\zeta_{6})q^{3}+\zeta_{6}q^{5}+(-1-2\zeta_{6})q^{7}+\cdots$$
1148.2.i.c $$2$$ $$9.167$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$1$$ $$4$$ $$q+(1-\zeta_{6})q^{3}+\zeta_{6}q^{5}+(3-2\zeta_{6})q^{7}+\cdots$$
1148.2.i.d $$16$$ $$9.167$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{3}+\beta _{14}q^{5}+(-\beta _{5}+\beta _{8})q^{7}+\cdots$$
1148.2.i.e $$30$$ $$9.167$$ None None $$0$$ $$1$$ $$-3$$ $$3$$
1148.2.k.a $$8$$ $$9.167$$ 8.0.110166016.2 None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+(-1-\beta _{5})q^{3}+(-1+\beta _{1}-\beta _{2}+\beta _{3}+\cdots)q^{5}+\cdots$$
1148.2.k.b $$36$$ $$9.167$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1148.2.n.a $$8$$ $$9.167$$ 8.0.64000000.2 None None $$0$$ $$-4$$ $$-2$$ $$-2$$ $$q+(-\beta _{3}+\beta _{4}+\beta _{6}-\beta _{7})q^{3}+(-\beta _{1}+\cdots)q^{5}+\cdots$$
1148.2.n.b $$8$$ $$9.167$$ 8.0.64000000.2 None None $$0$$ $$8$$ $$-2$$ $$-2$$ $$q+(1+\beta _{5})q^{3}+(\beta _{2}+\beta _{7})q^{5}+\beta _{4}q^{7}+\cdots$$
1148.2.n.c $$16$$ $$9.167$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$-2$$ $$-13$$ $$4$$ $$q+(-\beta _{1}-\beta _{2}+\beta _{5}-\beta _{6})q^{3}+(-1+\cdots)q^{5}+\cdots$$
1148.2.n.d $$24$$ $$9.167$$ None None $$0$$ $$-10$$ $$4$$ $$-6$$
1148.2.n.e $$24$$ $$9.167$$ None None $$0$$ $$12$$ $$17$$ $$6$$
1148.2.r.a $$56$$ $$9.167$$ None None $$0$$ $$0$$ $$4$$ $$0$$
1148.2.ba.a $$80$$ $$9.167$$ None None $$0$$ $$0$$ $$-4$$ $$0$$
1148.3.b.a $$52$$ $$31.281$$ None None $$0$$ $$0$$ $$0$$ $$-20$$
1148.3.g.a $$56$$ $$31.281$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1148.4.a.a $$15$$ $$67.734$$ $$\mathbb{Q}[x]/(x^{15} - \cdots)$$ None None $$0$$ $$-14$$ $$-24$$ $$105$$ $$-$$ $$q+(-1+\beta _{1})q^{3}+(-2-\beta _{3})q^{5}+7q^{7}+\cdots$$
1148.4.a.b $$15$$ $$67.734$$ $$\mathbb{Q}[x]/(x^{15} - \cdots)$$ None None $$0$$ $$0$$ $$6$$ $$-105$$ $$-$$ $$q+\beta _{1}q^{3}-\beta _{4}q^{5}-7q^{7}+(6+\beta _{2})q^{9}+\cdots$$
1148.4.a.c $$15$$ $$67.734$$ $$\mathbb{Q}[x]/(x^{15} - \cdots)$$ None None $$0$$ $$10$$ $$6$$ $$105$$ $$+$$ $$q+(1-\beta _{1})q^{3}+\beta _{3}q^{5}+7q^{7}+(11-\beta _{1}+\cdots)q^{9}+\cdots$$
1148.4.a.d $$15$$ $$67.734$$ $$\mathbb{Q}[x]/(x^{15} - \cdots)$$ None None $$0$$ $$12$$ $$-4$$ $$-105$$ $$+$$ $$q+(1-\beta _{1})q^{3}+\beta _{4}q^{5}-7q^{7}+(6-\beta _{1}+\cdots)q^{9}+\cdots$$
1148.4.d.a $$64$$ $$67.734$$ None None $$0$$ $$0$$ $$20$$ $$0$$
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