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

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Results (6 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.c 245.a 1.a $2$ $39.294$ \(\Q(\sqrt{65}) \) None \(1\) \(-3\) \(50\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(-3+3\beta )q^{3}+(-2^{4}+\beta )q^{4}+\cdots\)
245.6.a.d 245.a 1.a $3$ $39.294$ 3.3.577880.1 None \(-6\) \(-26\) \(75\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-2+\beta _{1})q^{2}+(-9-\beta _{2})q^{3}+(38+\cdots)q^{4}+\cdots\)
245.6.a.f 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.h 245.a 1.a $6$ $39.294$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(-5\) \(-20\) \(150\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(-3-\beta _{1}+\beta _{3})q^{3}+\cdots\)
245.6.a.i 245.a 1.a $6$ $39.294$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(-5\) \(20\) \(-150\) \(0\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(3+\beta _{1}-\beta _{3})q^{3}+\cdots\)
245.6.a.l 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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