{"paper":{"title":"Enumeration of Seidel matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Ferenc Sz\\\"oll\\H{o}si, Patric R.J. \\\"Osterg{\\aa}rd","submitted_at":"2017-03-08T18:00:17Z","abstract_excerpt":"In this paper Seidel matrices are studied, and their spectrum and several related algebraic properties are determined for order $n\\leq 13$. Based on this Seidel matrices with exactly three distinct eigenvalues of order $n\\leq 23$ are classified. One consequence of the computational results is that the maximum number of equiangular lines in $\\mathbb{R}^{12}$ with common angle $1/5$ is exactly $20$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.02943","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}