In arXiv:1708.07907, a favorable configuration has been found for all but 48 CICY three-folds. The remaining CICYs can be described favorably in products of almost del Pezzo surfaces. This website holds the data describing these new descriptions of CICYs. Any use of this data should be acknowledged by referencing the associated publication given above.
The new version of the CICY list, with non-favorable configuration matrices replaced by favorable ones (the "favourable CICY list"), can be found here:
- Text file containing the Favorable CICY list in a Mathematica readable format (3MB)
Hodge data and the second chern class of the manifolds are included. In addition, a flag indicates whether the Kahler cone is the naive one induced from the ambient space. See arXiv:1708.07907 for more details and explanation of format.
Obvious Fibrations
The elliptic fibrations which can be observed directly from the configuration matrices of the favorable CICY list can be found here:
- Text file (12.5 MB)
The data is in the format described in Appendix E of arXiv:1708.07907 and includes elliptic and K3 fibrations as well as nestings of these possibilties. This list only contains 7868 configurations, as the 22 direct product CICYs are excluded. Any use of the data on this website should be acknowledged by referencing the associated publication given above.