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

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Results (7 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 5 7
245.6.a.a 245.a 1.a $1$ $39.294$ \(\Q\) None \(-8\) \(-1\) \(-25\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q-8q^{2}-q^{3}+2^{5}q^{4}-5^{2}q^{5}+8q^{6}+\cdots\)
245.6.a.b 245.a 1.a $1$ $39.294$ \(\Q\) None \(2\) \(4\) \(-25\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+4q^{3}-28q^{4}-5^{2}q^{5}+8q^{6}+\cdots\)
245.6.a.e 245.a 1.a $4$ $39.294$ \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(7\) \(-14\) \(-100\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(2-\beta _{1})q^{2}+(-4+\beta _{1}-\beta _{3})q^{3}+\cdots\)
245.6.a.g 245.a 1.a $5$ $39.294$ \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(-3\) \(7\) \(-125\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(1+\beta _{1}+\beta _{2})q^{3}+\cdots\)
245.6.a.j 245.a 1.a $8$ $39.294$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(3\) \(-2\) \(200\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{3}q^{3}+(5^{2}+\beta _{1}+\beta _{2})q^{4}+\cdots\)
245.6.a.k 245.a 1.a $8$ $39.294$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(3\) \(2\) \(-200\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{3}q^{3}+(5^{2}+\beta _{1}+\beta _{2})q^{4}+\cdots\)
245.6.a.m 245.a 1.a $10$ $39.294$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(10\) \(58\) \(250\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(6-\beta _{3})q^{3}+(18-\beta _{1}+\cdots)q^{4}+\cdots\)
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