TFPT scientific source excerpt Original repository path: experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/independent-seam-graph-results.json Original file SHA-256: e7cb292768c5432840f188c865c81924350fbbc2eb14defacb100be3d82ece6f Inclusive original lines: 191-380 Line numbers below refer to the original source. This bounded excerpt is source evidence; it is not a new proof/checker run. Conversation metadata and personal execution details are omitted where indicated. 000191 | -1, 000192 | 0 000193 | ], 000194 | [ 000195 | 0, 000196 | 1 000197 | ] 000198 | ], 000199 | "order": 2, 000200 | "shift": [ 000201 | "0", 000202 | "0" 000203 | ], 000204 | "type": "dividing" 000205 | }, 000206 | { 000207 | "linear": [ 000208 | [ 000209 | -1, 000210 | 0 000211 | ], 000212 | [ 000213 | 0, 000214 | 1 000215 | ] 000216 | ], 000217 | "order": 2, 000218 | "shift": [ 000219 | "1/2", 000220 | "1/2" 000221 | ], 000222 | "type": "empty" 000223 | }, 000224 | { 000225 | "linear": [ 000226 | [ 000227 | 0, 000228 | -1 000229 | ], 000230 | [ 000231 | -1, 000232 | 0 000233 | ] 000234 | ], 000235 | "order": 2, 000236 | "shift": [ 000237 | "0", 000238 | "0" 000239 | ], 000240 | "type": "nondividing" 000241 | }, 000242 | { 000243 | "linear": [ 000244 | [ 000245 | 0, 000246 | -1 000247 | ], 000248 | [ 000249 | -1, 000250 | 0 000251 | ] 000252 | ], 000253 | "order": 2, 000254 | "shift": [ 000255 | "1/2", 000256 | "1/2" 000257 | ], 000258 | "type": "nondividing" 000259 | }, 000260 | { 000261 | "linear": [ 000262 | [ 000263 | 0, 000264 | 1 000265 | ], 000266 | [ 000267 | 1, 000268 | 0 000269 | ] 000270 | ], 000271 | "order": 2, 000272 | "shift": [ 000273 | "0", 000274 | "0" 000275 | ], 000276 | "type": "nondividing" 000277 | }, 000278 | { 000279 | "linear": [ 000280 | [ 000281 | 0, 000282 | 1 000283 | ], 000284 | [ 000285 | 1, 000286 | 0 000287 | ] 000288 | ], 000289 | "order": 2, 000290 | "shift": [ 000291 | "1/2", 000292 | "1/2" 000293 | ], 000294 | "type": "nondividing" 000295 | }, 000296 | { 000297 | "linear": [ 000298 | [ 000299 | 1, 000300 | 0 000301 | ], 000302 | [ 000303 | 0, 000304 | -1 000305 | ] 000306 | ], 000307 | "order": 2, 000308 | "shift": [ 000309 | "0", 000310 | "0" 000311 | ], 000312 | "type": "dividing" 000313 | }, 000314 | { 000315 | "linear": [ 000316 | [ 000317 | 1, 000318 | 0 000319 | ], 000320 | [ 000321 | 0, 000322 | -1 000323 | ] 000324 | ], 000325 | "order": 2, 000326 | "shift": [ 000327 | "1/2", 000328 | "1/2" 000329 | ], 000330 | "type": "empty" 000331 | } 000332 | ], 000333 | "real_census": { 000334 | "full_sixteen": { 000335 | "anti_order_4": 4, 000336 | "dividing": 4, 000337 | "empty": 4, 000338 | "nondividing": 4 000339 | }, 000340 | "new_eight": { 000341 | "anti_order_4": 4, 000342 | "dividing": 2, 000343 | "empty": 2 000344 | }, 000345 | "old_eight": { 000346 | "dividing": 2, 000347 | "empty": 2, 000348 | "nondividing": 4 000349 | } 000350 | }, 000351 | "scope": "Exact affine square-torus group and equator-preimage graph. This does not identify a chosen oval or smoothing with the original physical P1 seam state.", 000352 | "seam_graph": { 000353 | "E": 8, 000354 | "F": 4, 000355 | "V": 4, 000356 | "b1": 5, 000357 | "edges": [ 000358 | [ 000359 | 0, 000360 | 2, 000361 | "horizontal_y=1/4:0" 000362 | ], 000363 | [ 000364 | 0, 000365 | 2, 000366 | "horizontal_y=1/4:1" 000367 | ], 000368 | [ 000369 | 1, 000370 | 3, 000371 | "horizontal_y=3/4:0" 000372 | ], 000373 | [ 000374 | 1, 000375 | 3, 000376 | "horizontal_y=3/4:1" 000377 | ], 000378 | [ 000379 | 0, 000380 | 1,