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Results (7 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 5 13
2535.2.a.l 2535.a 1.a $1$ $20.242$ \(\Q\) None \(1\) \(1\) \(1\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}+2q^{7}+\cdots\)
2535.2.a.q 2535.a 1.a $2$ $20.242$ \(\Q(\sqrt{17}) \) None \(1\) \(2\) \(2\) \(-3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{3}+(2+\beta )q^{4}+q^{5}+\beta q^{6}+\cdots\)
2535.2.a.s 2535.a 1.a $2$ $20.242$ \(\Q(\sqrt{3}) \) None \(2\) \(2\) \(2\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+q^{3}+(2+2\beta )q^{4}+q^{5}+\cdots\)
2535.2.a.t 2535.a 1.a $3$ $20.242$ \(\Q(\zeta_{14})^+\) None \(-3\) \(3\) \(3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1}+\beta _{2})q^{2}+q^{3}+(4-\beta _{1}+\cdots)q^{4}+\cdots\)
2535.2.a.x 2535.a 1.a $3$ $20.242$ \(\Q(\zeta_{14})^+\) None \(-1\) \(3\) \(3\) \(12\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}+q^{5}-\beta _{1}q^{6}+\cdots\)
2535.2.a.bg 2535.a 1.a $3$ $20.242$ \(\Q(\zeta_{14})^+\) None \(2\) \(3\) \(3\) \(-4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+q^{3}+(1-2\beta _{1}+\beta _{2})q^{4}+\cdots\)
2535.2.a.bl 2535.a 1.a $4$ $20.242$ 4.4.7488.1 None \(2\) \(4\) \(4\) \(6\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{3}q^{2}+q^{3}+(1-\beta _{2})q^{4}+q^{5}-\beta _{3}q^{6}+\cdots\)
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