Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

## Results (10 matches)

Label Dim $A$ Field CM Traces A-L signs $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 13
507.4.a.a $1$ $29.914$ $$\Q$$ None $$-3$$ $$3$$ $$9$$ $$-2$$ $-$ $+$ $$q-3q^{2}+3q^{3}+q^{4}+9q^{5}-9q^{6}+\cdots$$
507.4.a.b $1$ $29.914$ $$\Q$$ None $$-1$$ $$3$$ $$7$$ $$-10$$ $-$ $+$ $$q-q^{2}+3q^{3}-7q^{4}+7q^{5}-3q^{6}+\cdots$$
507.4.a.d $1$ $29.914$ $$\Q$$ None $$1$$ $$3$$ $$-7$$ $$10$$ $-$ $+$ $$q+q^{2}+3q^{3}-7q^{4}-7q^{5}+3q^{6}+\cdots$$
507.4.a.e $1$ $29.914$ $$\Q$$ None $$3$$ $$3$$ $$-9$$ $$2$$ $-$ $+$ $$q+3q^{2}+3q^{3}+q^{4}-9q^{5}+9q^{6}+\cdots$$
507.4.a.g $2$ $29.914$ $$\Q(\sqrt{3})$$ None $$0$$ $$-6$$ $$0$$ $$0$$ $+$ $-$ $$q-3q^{3}-8q^{4}+3\beta q^{5}+6\beta q^{7}+9q^{9}+\cdots$$
507.4.a.h $3$ $29.914$ 3.3.3144.1 None $$-2$$ $$9$$ $$-4$$ $$-30$$ $-$ $+$ $$q+(-1+\beta _{1})q^{2}+3q^{3}+(3+\beta _{2})q^{4}+\cdots$$
507.4.a.j $4$ $29.914$ 4.4.5054412.1 None $$0$$ $$-12$$ $$0$$ $$0$$ $+$ $-$ $$q+\beta _{1}q^{2}-3q^{3}+(7+\beta _{3})q^{4}-\beta _{2}q^{5}+\cdots$$
507.4.a.k $4$ $29.914$ $$\Q(\sqrt{3}, \sqrt{17})$$ None $$0$$ $$-12$$ $$0$$ $$0$$ $+$ $-$ $$q+\beta _{3}q^{2}-3q^{3}+9q^{4}+(3\beta _{1}-2\beta _{3})q^{5}+\cdots$$
507.4.a.n $9$ $29.914$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None $$-8$$ $$-27$$ $$-41$$ $$-1$$ $+$ $-$ $$q+(-1+\beta _{1})q^{2}-3q^{3}+(3-2\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
507.4.a.o $9$ $29.914$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None $$-6$$ $$27$$ $$-33$$ $$-83$$ $-$ $+$ $$q+(-1-\beta _{3})q^{2}+3q^{3}+(5+\beta _{3}+\beta _{5}+\cdots)q^{4}+\cdots$$