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Results (11 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 23 29
8004.2.a.a 8004.a 1.a $1$ $63.912$ \(\Q\) None \(0\) \(-1\) \(-2\) \(-5\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}-5q^{7}+q^{9}-3q^{11}+\cdots\)
8004.2.a.b 8004.a 1.a $1$ $63.912$ \(\Q\) None \(0\) \(-1\) \(-2\) \(2\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}+2q^{7}+q^{9}+4q^{11}+\cdots\)
8004.2.a.c 8004.a 1.a $1$ $63.912$ \(\Q\) None \(0\) \(1\) \(-2\) \(3\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}+3q^{7}+q^{9}+3q^{11}+\cdots\)
8004.2.a.d 8004.a 1.a $8$ $63.912$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(8\) \(-5\) \(-4\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+(-1-\beta _{7})q^{5}+(\beta _{6}+\beta _{7})q^{7}+\cdots\)
8004.2.a.e 8004.a 1.a $9$ $63.912$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(-9\) \(-3\) \(7\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+\beta _{1}q^{5}+(1-\beta _{3})q^{7}+q^{9}+(\beta _{3}+\cdots)q^{11}+\cdots\)
8004.2.a.f 8004.a 1.a $9$ $63.912$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(9\) \(-1\) \(-5\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-\beta _{1}q^{5}+(-1-\beta _{6})q^{7}+q^{9}+\cdots\)
8004.2.a.g 8004.a 1.a $12$ $63.912$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(-12\) \(-3\) \(4\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-\beta _{1}q^{5}+\beta _{3}q^{7}+q^{9}-\beta _{2}q^{11}+\cdots\)
8004.2.a.h 8004.a 1.a $13$ $63.912$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(0\) \(-13\) \(5\) \(-8\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+\beta _{1}q^{5}+(-1+\beta _{12})q^{7}+q^{9}+\cdots\)
8004.2.a.i 8004.a 1.a $16$ $63.912$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(-16\) \(5\) \(-4\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+\beta _{1}q^{5}-\beta _{12}q^{7}+q^{9}-\beta _{4}q^{11}+\cdots\)
8004.2.a.j 8004.a 1.a $16$ $63.912$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(16\) \(3\) \(4\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta _{1}q^{5}-\beta _{7}q^{7}+q^{9}-\beta _{6}q^{11}+\cdots\)
8004.2.a.k 8004.a 1.a $18$ $63.912$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(0\) \(18\) \(5\) \(6\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta _{1}q^{5}+\beta _{7}q^{7}+q^{9}-\beta _{9}q^{11}+\cdots\)
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