Sato-Tate groups

The database currently contains all rational Sato-Tate groups of weight 1 and degree up to 6, as well as all Sato-Tate groups of weight 0 and degree 1 with component group of order at most $10^{20}$. Here are some further statistics.

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By weight:	0  1
By degree:	1  2  3  4  5  6
Some interesting Sato-Tate groups or a random Sato-Tate group

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Weight		e.g. 1 or 0-3	Trace zero density		e.g. 0, 1/2, or 3/8
Degree		e.g. 4 or 1-6	Second trace moment		e.g. 8
Include irrational			Fourth trace moment		e.g. 96
Identity component		e.g. U(1) or USp(4)	First $a_2$ moment		e.g. 4
Maximal			Components		e.g. 1 (connected) or 4-12
Results to display			Component group		e.g. list of GAP ids, e.g. [8,3], or group labels, e.g. S4.

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Label or name
	e.g. 0.1.3 or 0.1.mu(3), or 1.2.B.2.1a or N(U(1)), or 1.4.A.1.1a or 1.4.USp(4)