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Results (5 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 29
1682.2.a.a 1682.a 1.a $1$ $13.431$ \(\Q\) None \(-1\) \(-2\) \(-2\) \(-5\) $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}+q^{4}-2q^{5}+2q^{6}-5q^{7}+\cdots\)
1682.2.a.d 1682.a 1.a $1$ $13.431$ \(\Q\) None \(-1\) \(1\) \(1\) \(-2\) $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-2q^{7}+\cdots\)
1682.2.a.m 1682.a 1.a $3$ $13.431$ \(\Q(\zeta_{14})^+\) None \(-3\) \(-2\) \(5\) \(1\) $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1-\beta _{2})q^{3}+q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots\)
1682.2.a.o 1682.a 1.a $4$ $13.431$ \(\Q(\zeta_{15})^+\) None \(-4\) \(2\) \(-3\) \(-5\) $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots\)
1682.2.a.q 1682.a 1.a $6$ $13.431$ 6.6.13716913.1 None \(-6\) \(-2\) \(0\) \(-3\) $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
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