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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 Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 7
112.6.a.a 112.a 1.a $1$ $17.963$ \(\Q\) None 56.6.a.b \(0\) \(-30\) \(32\) \(-49\) $+$ $+$ $\mathrm{SU}(2)$ \(q-30q^{3}+2^{5}q^{5}-7^{2}q^{7}+657q^{9}+\cdots\)
112.6.a.b 112.a 1.a $1$ $17.963$ \(\Q\) None 28.6.a.b \(0\) \(-26\) \(16\) \(49\) $-$ $-$ $\mathrm{SU}(2)$ \(q-26q^{3}+2^{4}q^{5}+7^{2}q^{7}+433q^{9}+\cdots\)
112.6.a.d 112.a 1.a $1$ $17.963$ \(\Q\) None 14.6.a.b \(0\) \(-8\) \(10\) \(49\) $-$ $-$ $\mathrm{SU}(2)$ \(q-8q^{3}+10q^{5}+7^{2}q^{7}-179q^{9}+\cdots\)
112.6.a.f 112.a 1.a $1$ $17.963$ \(\Q\) None 56.6.a.a \(0\) \(6\) \(4\) \(-49\) $+$ $+$ $\mathrm{SU}(2)$ \(q+6q^{3}+4q^{5}-7^{2}q^{7}-207q^{9}+240q^{11}+\cdots\)
112.6.a.g 112.a 1.a $1$ $17.963$ \(\Q\) None 7.6.a.a \(0\) \(14\) \(-56\) \(49\) $-$ $-$ $\mathrm{SU}(2)$ \(q+14q^{3}-56q^{5}+7^{2}q^{7}-47q^{9}+\cdots\)
112.6.a.k 112.a 1.a $2$ $17.963$ \(\Q(\sqrt{177}) \) None 56.6.a.c \(0\) \(26\) \(-62\) \(-98\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(13-\beta )q^{3}+(-31+5\beta )q^{5}-7^{2}q^{7}+\cdots\)
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