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

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Results (3 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 23
4025.2.a.c 4025.a 1.a $1$ $32.140$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{4}+q^{7}-2q^{9}-q^{11}+2q^{12}+\cdots\)
4025.2.a.u 4025.a 1.a $8$ $32.140$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-1\) \(-4\) \(0\) \(8\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(-1-\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
4025.2.a.x 4025.a 1.a $12$ $32.140$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-2\) \(0\) \(0\) \(12\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+\beta _{6}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
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