CycloDB is a database of invariants of cyclotomic fields. Class group structure computations take advantage of norm relations as presented in [1] and were computed using the abelianbnf [2] gp script by Aurel Page.

The source code for producing the data is available in the site repository and the data is available in raw json format here.

Currently all class group computations are conditional on the GRH. Once the upper limit of conditional class group computation is reached, unconditional certification will begin and unconditional results will be marked as such.

[1] Biasse, J.-F., Fieker, C., Hofmann, T. and Page, A. (2022), Norm relations and computational problems in number fields. J. London Math. Soc.. https://doi.org/10.1112/jlms.12563
[2] Page, Aurel. (2021), abelianbnf. http://www.normalesup.org/~page/Recherche/Logiciels/logiciels-en.html