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For a fixed weight $w$ and degree $d$, the set of (conjugacy classes of) Sato-Tate groups $G$ with the same identity component $G^0$ form a finite partially ordered set that has a unique minimal element (namely, $G^0$), but does not necessarily have a unique maximal element.

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• Review status: reviewed
• Last edited by Andrew Sutherland on 2016-05-04 20:48:18
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