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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 7 11
9702.2.a.i 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(-2\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{5}-q^{8}+2q^{10}+q^{11}+\cdots\)
9702.2.a.o 9702.a 1.a $1$ $77.471$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}+q^{11}+5q^{13}+q^{16}+\cdots\)
9702.2.a.ci 9702.a 1.a $2$ $77.471$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(-4\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{5}-q^{8}+2q^{10}+q^{11}+\cdots\)
9702.2.a.co 9702.a 1.a $2$ $77.471$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}+q^{11}+3\beta q^{13}+\cdots\)
9702.2.a.cp 9702.a 1.a $2$ $77.471$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+3\beta q^{5}-q^{8}-3\beta q^{10}+\cdots\)
9702.2.a.cy 9702.a 1.a $2$ $77.471$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(4\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}+q^{11}+\cdots\)
9702.2.a.dv 9702.a 1.a $3$ $77.471$ 3.3.2700.1 None \(-3\) \(0\) \(0\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-\beta _{1}q^{5}-q^{8}+\beta _{1}q^{10}+\cdots\)
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