Backbone structures generated by FoldingDiff spanning lengths [50, 128). Each length has 10 randomly sampled structures for a total of 780 backbone structures. These were used to derive all results in our manuscript's main results section. In addition to structures in .pse format, we provide an excel table with the following sheets: Table containing metadata for each of the aforementioned generated structures. Metadata includes scTM designability scores using ProteinMPNN + OmegaFold and using ProteinMPNN + AlphaFold2, maximum training set TM score (similarity), structure length, and number of sheets/helices present as annotated by P-SEA. Table containing Gauss integral embeddings for each of the 780 backbones generated by FoldingDiff Table containing Gauss integral embeddings for select test set structures between 50 and 128 residues in length. These were used to compare and contextualize structures/embeddings from FoldingDiff.