Sato-Tate groups in weight 0 and degree 1 are computed on demand.

Rational Sato-Tate groups in weight 1 and degree 2 are taken from *Hyperelliptic curves, L-polynomials, and random matrices*, by K.S. Kedlaya and A.V. Sutherland [arXiv:0803.4462, 10.1090/conm/487, MR:2555991].

Rational Sato-Tate groups in weight 1 and degree 4 are taken from *Sato-Tate distributions and Galois endomorphism modules in genus $2$*, by F. Fité, K.S. Kedlaya, V. Rotger, and A.V. Sutherland [arXiv:1110.6638, 10.1112/S0010437X12000279, MR:2982436].

Rational Sato-Tate groups in weight 1 and degree 6 are taken from *Sato-Tate groups of abelian threefolds: a preview of the classification*, by F. Fité, K.S. Kedlaya, and A.V. Sutherland [arXiv:1911.02071] and *Sato-Tate groups of abelian threefolds*, by F. Fité, K.S. Kedlaya, and A.V. Sutherland [arXiv:2106.13759].

**Authors:**

**Knowl status:**

- Review status: reviewed
- Last edited by Kiran S. Kedlaya on 2021-06-27 22:06:18

**Referred to by:**

**History:**(expand/hide all)

- 2021-06-27 22:06:18 by Kiran S. Kedlaya (Reviewed)
- 2021-06-21 22:46:31 by Andrew Sutherland (Reviewed)
- 2021-06-21 22:45:52 by Andrew Sutherland
- 2021-06-21 22:45:52 by Andrew Sutherland
- 2021-02-02 00:14:54 by Kiran S. Kedlaya (Reviewed)
- 2019-04-22 20:53:39 by Andrew Sutherland (Reviewed)
- 2019-03-22 00:42:32 by Andrew Sutherland (Reviewed)

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