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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
1344.4.a.a 1344.a 1.a $1$ $79.299$ \(\Q\) None \(0\) \(-3\) \(-18\) \(-7\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}-18q^{5}-7q^{7}+9q^{9}-72q^{11}+\cdots\)
1344.4.a.c 1344.a 1.a $1$ $79.299$ \(\Q\) None \(0\) \(-3\) \(-6\) \(-7\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}-6q^{5}-7q^{7}+9q^{9}-4q^{11}+\cdots\)
1344.4.a.d 1344.a 1.a $1$ $79.299$ \(\Q\) None \(0\) \(-3\) \(-6\) \(-7\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}-6q^{5}-7q^{7}+9q^{9}+6^{2}q^{11}+\cdots\)
1344.4.a.h 1344.a 1.a $1$ $79.299$ \(\Q\) None \(0\) \(-3\) \(2\) \(-7\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}+2q^{5}-7q^{7}+9q^{9}+12q^{11}+\cdots\)
1344.4.a.j 1344.a 1.a $1$ $79.299$ \(\Q\) None \(0\) \(-3\) \(10\) \(-7\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}+10q^{5}-7q^{7}+9q^{9}-12q^{11}+\cdots\)
1344.4.a.n 1344.a 1.a $1$ $79.299$ \(\Q\) None \(0\) \(-3\) \(18\) \(-7\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}+18q^{5}-7q^{7}+9q^{9}-6^{2}q^{11}+\cdots\)
1344.4.a.bc 1344.a 1.a $2$ $79.299$ \(\Q(\sqrt{43}) \) None \(0\) \(-6\) \(-16\) \(-14\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}+(-8+\beta )q^{5}-7q^{7}+9q^{9}+\cdots\)
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