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## Results (displaying all 20 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
2013.1.bm.a $$4$$ $$1.005$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-183})$$ None $$-3$$ $$-1$$ $$0$$ $$0$$ $$q+(-1+\zeta_{10})q^{2}+\zeta_{10}^{4}q^{3}+(1-\zeta_{10}+\cdots)q^{4}+\cdots$$
2013.1.bm.b $$4$$ $$1.005$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-183})$$ None $$3$$ $$-1$$ $$0$$ $$0$$ $$q+(1-\zeta_{10})q^{2}+\zeta_{10}^{4}q^{3}+(1-\zeta_{10}+\cdots)q^{4}+\cdots$$
2013.1.bm.c $$8$$ $$1.005$$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-183})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+(\zeta_{20}^{5}+\zeta_{20}^{7})q^{2}+\zeta_{20}^{8}q^{3}+(-1+\cdots)q^{4}+\cdots$$
2013.1.bm.d $$16$$ $$1.005$$ $$\Q(\zeta_{40})$$ $$\Q(\sqrt{-183})$$ None $$0$$ $$4$$ $$0$$ $$0$$ $$q+(\zeta_{40}^{9}+\zeta_{40}^{15})q^{2}-\zeta_{40}^{16}q^{3}+\cdots$$
2013.2.a.a $$11$$ $$16.074$$ $$\mathbb{Q}[x]/(x^{11} - \cdots)$$ None None $$-4$$ $$11$$ $$-13$$ $$-5$$ $$+$$ $$q-\beta _{1}q^{2}+q^{3}+(1+\beta _{5}+\beta _{6})q^{4}+(-1+\cdots)q^{5}+\cdots$$
2013.2.a.b $$11$$ $$16.074$$ $$\mathbb{Q}[x]/(x^{11} - \cdots)$$ None None $$-2$$ $$-11$$ $$-1$$ $$-11$$ $$+$$ $$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{8}q^{5}+\cdots$$
2013.2.a.c $$12$$ $$16.074$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$-7$$ $$12$$ $$-7$$ $$-15$$ $$+$$ $$q+(-1+\beta _{1})q^{2}+q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
2013.2.a.d $$12$$ $$16.074$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$1$$ $$-12$$ $$-3$$ $$-9$$ $$+$$ $$q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{3}q^{5}+\cdots$$
2013.2.a.e $$13$$ $$16.074$$ $$\mathbb{Q}[x]/(x^{13} - \cdots)$$ None None $$2$$ $$-13$$ $$3$$ $$11$$ $$-$$ $$q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{8}q^{5}+\cdots$$
2013.2.a.f $$13$$ $$16.074$$ $$\mathbb{Q}[x]/(x^{13} - \cdots)$$ None None $$4$$ $$13$$ $$7$$ $$5$$ $$-$$ $$q+\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots$$
2013.2.a.g $$13$$ $$16.074$$ $$\mathbb{Q}[x]/(x^{13} - \cdots)$$ None None $$4$$ $$13$$ $$7$$ $$7$$ $$-$$ $$q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{5}+\cdots)q^{5}+\cdots$$
2013.2.a.h $$14$$ $$16.074$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$-1$$ $$-14$$ $$1$$ $$9$$ $$-$$ $$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{10}q^{5}+\cdots$$
2013.4.a.a $$36$$ $$118.771$$ None None $$-14$$ $$108$$ $$-65$$ $$-105$$ $$-$$
2013.4.a.b $$36$$ $$118.771$$ None None $$2$$ $$-108$$ $$-5$$ $$-63$$ $$-$$
2013.4.a.c $$37$$ $$118.771$$ None None $$-8$$ $$111$$ $$-35$$ $$-35$$ $$-$$
2013.4.a.d $$37$$ $$118.771$$ None None $$-4$$ $$-111$$ $$-15$$ $$-77$$ $$-$$
2013.4.a.e $$38$$ $$118.771$$ None None $$-2$$ $$-114$$ $$15$$ $$63$$ $$+$$
2013.4.a.f $$38$$ $$118.771$$ None None $$14$$ $$114$$ $$35$$ $$105$$ $$+$$
2013.4.a.g $$39$$ $$118.771$$ None None $$4$$ $$-117$$ $$5$$ $$77$$ $$+$$
2013.4.a.h $$39$$ $$118.771$$ None None $$8$$ $$117$$ $$65$$ $$35$$ $$+$$

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