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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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Results (10 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 5 19
1520.2.a.a 1520.a 1.a $1$ $12.137$ \(\Q\) None \(0\) \(-3\) \(1\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}+q^{5}+q^{7}+6q^{9}-4q^{11}+\cdots\)
1520.2.a.b 1520.a 1.a $1$ $12.137$ \(\Q\) None \(0\) \(-2\) \(-1\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{5}-2q^{7}+q^{9}+6q^{13}+\cdots\)
1520.2.a.c 1520.a 1.a $1$ $12.137$ \(\Q\) None \(0\) \(-2\) \(1\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}-4q^{7}+q^{9}+4q^{11}+\cdots\)
1520.2.a.d 1520.a 1.a $1$ $12.137$ \(\Q\) None \(0\) \(-1\) \(1\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}-2q^{9}-q^{13}-q^{15}+\cdots\)
1520.2.a.f 1520.a 1.a $1$ $12.137$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-3q^{9}+4q^{11}-6q^{13}-6q^{17}+\cdots\)
1520.2.a.g 1520.a 1.a $1$ $12.137$ \(\Q\) None \(0\) \(1\) \(-1\) \(1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}-2q^{9}-3q^{13}-q^{15}+\cdots\)
1520.2.a.h 1520.a 1.a $1$ $12.137$ \(\Q\) None \(0\) \(2\) \(1\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{5}-4q^{7}+q^{9}-4q^{11}+\cdots\)
1520.2.a.k 1520.a 1.a $2$ $12.137$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(-2\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}-q^{5}+(1-2\beta )q^{9}-2q^{11}+\cdots\)
1520.2.a.l 1520.a 1.a $2$ $12.137$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(-4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}+q^{5}-2q^{7}+(1-2\beta )q^{9}+\cdots\)
1520.2.a.q 1520.a 1.a $3$ $12.137$ 3.3.316.1 None \(0\) \(1\) \(-3\) \(1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-q^{5}+(1-2\beta _{1}+\beta _{2})q^{7}+\cdots\)
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