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Results (8 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 7 11
1232.2.a.a 1232.a 1.a $1$ $9.838$ \(\Q\) None \(0\) \(-2\) \(-2\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}-2q^{5}+q^{7}+q^{9}-q^{11}+4q^{13}+\cdots\)
1232.2.a.c 1232.a 1.a $1$ $9.838$ \(\Q\) None \(0\) \(-2\) \(2\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}+2q^{5}+q^{7}+q^{9}-q^{11}-4q^{13}+\cdots\)
1232.2.a.d 1232.a 1.a $1$ $9.838$ \(\Q\) None \(0\) \(-1\) \(3\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{5}-q^{7}-2q^{9}+q^{11}-4q^{13}+\cdots\)
1232.2.a.g 1232.a 1.a $1$ $9.838$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{7}-3q^{9}+q^{11}-6q^{13}+2q^{19}+\cdots\)
1232.2.a.i 1232.a 1.a $1$ $9.838$ \(\Q\) None \(0\) \(1\) \(-1\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-q^{7}-2q^{9}-q^{11}-q^{15}+\cdots\)
1232.2.a.j 1232.a 1.a $1$ $9.838$ \(\Q\) None \(0\) \(1\) \(-1\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}-2q^{9}-q^{11}-4q^{13}+\cdots\)
1232.2.a.m 1232.a 1.a $2$ $9.838$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(-4\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{3}-2q^{5}-q^{7}+(3+2\beta )q^{9}+\cdots\)
1232.2.a.q 1232.a 1.a $3$ $9.838$ 3.3.229.1 None \(0\) \(-1\) \(1\) \(-3\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{3}-\beta _{2}q^{5}-q^{7}+(1-\beta _{1})q^{9}+\cdots\)
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