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

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Results (4 matches)

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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 5 23
115.4.a.a 115.a 1.a $1$ $6.785$ \(\Q\) None 115.4.a.a \(1\) \(4\) \(-5\) \(-32\) $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+4q^{3}-7q^{4}-5q^{5}+4q^{6}+\cdots\)
115.4.a.b 115.a 1.a $1$ $6.785$ \(\Q\) None 115.4.a.b \(2\) \(-3\) \(5\) \(-2\) $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}-3q^{3}-4q^{4}+5q^{5}-6q^{6}+\cdots\)
115.4.a.c 115.a 1.a $2$ $6.785$ \(\Q(\sqrt{109}) \) None 115.4.a.c \(-6\) \(-3\) \(10\) \(1\) $-$ $+$ $\mathrm{SU}(2)$ \(q-3q^{2}+(-1-\beta )q^{3}+q^{4}+5q^{5}+\cdots\)
115.4.a.d 115.a 1.a $5$ $6.785$ \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None 115.4.a.d \(-5\) \(-6\) \(-25\) \(-15\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(-1-\beta _{2}-\beta _{3}-\beta _{4})q^{3}+\cdots\)
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