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Results (6 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 11 19
4598.2.a.l 4598.a 1.a $1$ $36.715$ \(\Q\) None \(1\) \(-1\) \(2\) \(-3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}-3q^{7}+\cdots\)
4598.2.a.p 4598.a 1.a $1$ $36.715$ \(\Q\) None \(1\) \(1\) \(0\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots\)
4598.2.a.q 4598.a 1.a $1$ $36.715$ \(\Q\) None \(1\) \(1\) \(0\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots\)
4598.2.a.bc 4598.a 1.a $2$ $36.715$ \(\Q(\sqrt{13}) \) None \(2\) \(-3\) \(-1\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1-\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
4598.2.a.bn 4598.a 1.a $3$ $36.715$ 3.3.568.1 None \(3\) \(-2\) \(-1\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}-\beta _{1}q^{5}+\cdots\)
4598.2.a.bz 4598.a 1.a $8$ $36.715$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(8\) \(-2\) \(-2\) \(-14\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta _{1}q^{3}+q^{4}+(-\beta _{1}-\beta _{3}-\beta _{6}+\cdots)q^{5}+\cdots\)
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