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

## Results (7 matches)

Label Dim $A$ Field CM Traces A-L signs $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 5
75.22.a.a $1$ $209.608$ $$\Q$$ None $$-1728$$ $$59049$$ $$0$$ $$-538429808$$ $-$ $+$ $$q-12^{3}q^{2}+3^{10}q^{3}+888832q^{4}+\cdots$$
75.22.a.c $1$ $209.608$ $$\Q$$ None $$2844$$ $$59049$$ $$0$$ $$-363303920$$ $-$ $+$ $$q+2844q^{2}+3^{10}q^{3}+5991184q^{4}+\cdots$$
75.22.a.f $3$ $209.608$ $$\mathbb{Q}[x]/(x^{3} - \cdots)$$ None $$-702$$ $$177147$$ $$0$$ $$2072418204$$ $-$ $+$ $$q+(-234-\beta _{1})q^{2}+3^{10}q^{3}+(1748076+\cdots)q^{4}+\cdots$$
75.22.a.h $4$ $209.608$ $$\mathbb{Q}[x]/(x^{4} - \cdots)$$ None $$897$$ $$236196$$ $$0$$ $$234577504$$ $-$ $+$ $$q+(224+\beta _{1})q^{2}+3^{10}q^{3}+(-290854+\cdots)q^{4}+\cdots$$
75.22.a.k $8$ $209.608$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$-666$$ $$472392$$ $$0$$ $$-134034472$$ $-$ $+$ $$q+(-83-\beta _{1})q^{2}+3^{10}q^{3}+(1335201+\cdots)q^{4}+\cdots$$
75.22.a.l $8$ $209.608$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$666$$ $$-472392$$ $$0$$ $$134034472$$ $+$ $-$ $$q+(83+\beta _{1})q^{2}-3^{10}q^{3}+(1335201+\cdots)q^{4}+\cdots$$
75.22.a.n $10$ $209.608$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None $$645$$ $$-590490$$ $$0$$ $$115357290$$ $+$ $-$ $$q+(65-\beta _{1})q^{2}-3^{10}q^{3}+(1004337+\cdots)q^{4}+\cdots$$