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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.e 1520.a 1.a $1$ $12.137$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-3q^{9}+4q^{11}-4q^{13}+\cdots\)
1520.2.a.i 1520.a 1.a $1$ $12.137$ \(\Q\) None \(0\) \(2\) \(1\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{5}+q^{9}+4q^{11}+4q^{13}+\cdots\)
1520.2.a.j 1520.a 1.a $1$ $12.137$ \(\Q\) None \(0\) \(3\) \(-1\) \(5\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+3q^{3}-q^{5}+5q^{7}+6q^{9}+4q^{11}+\cdots\)
1520.2.a.m 1520.a 1.a $2$ $12.137$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-q^{5}+2\beta q^{7}-q^{9}+(-2+2\beta )q^{11}+\cdots\)
1520.2.a.n 1520.a 1.a $2$ $12.137$ \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(2\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+q^{5}+\beta q^{7}+(1+\beta )q^{9}-4q^{11}+\cdots\)
1520.2.a.o 1520.a 1.a $2$ $12.137$ \(\Q(\sqrt{2}) \) None \(0\) \(4\) \(2\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(2+\beta )q^{3}+q^{5}+(2-2\beta )q^{7}+(3+4\beta )q^{9}+\cdots\)
1520.2.a.p 1520.a 1.a $3$ $12.137$ 3.3.148.1 None \(0\) \(-2\) \(3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+q^{5}+(-\beta _{1}+\beta _{2})q^{7}+\cdots\)
1520.2.a.r 1520.a 1.a $3$ $12.137$ 3.3.568.1 None \(0\) \(1\) \(-3\) \(5\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-q^{5}+(2+\beta _{2})q^{7}+(1+2\beta _{1}+\cdots)q^{9}+\cdots\)
1520.2.a.s 1520.a 1.a $3$ $12.137$ 3.3.229.1 None \(0\) \(1\) \(3\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{3}+q^{5}-\beta _{1}q^{7}+(1-\beta _{1})q^{9}+\cdots\)
1520.2.a.t 1520.a 1.a $4$ $12.137$ 4.4.11344.1 None \(0\) \(-2\) \(-4\) \(-4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{3}-q^{5}+(-1+\beta _{1})q^{7}+(2-\beta _{3})q^{9}+\cdots\)
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