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gchilders

1063_83m1

Jun 24th, 2025
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  1. Tue Jun 24 17:01:11 2025
  2. Tue Jun 24 17:01:11 2025
  3. Tue Jun 24 17:01:11 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Jun 24 17:01:11 2025 random seeds: aa1d248a bd7dcd25
  5. Tue Jun 24 17:01:11 2025 MPI process 0 of 1
  6. Tue Jun 24 17:01:11 2025 Using 64 OpenMP threads
  7. Tue Jun 24 17:01:11 2025 factoring 898297037748146060790814437738656828616855154533021433920853135390473344777802115279649189669227994532484831103330204678011462834209710328535981660765230933781368195508112076424466269758099981885120791299672560486683877853454457246850014415971199 (246 digits)
  8. Tue Jun 24 17:01:12 2025 no P-1/P+1/ECM available, skipping
  9. Tue Jun 24 17:01:12 2025 commencing number field sieve (246-digit input)
  10. Tue Jun 24 17:01:12 2025 R0: 2352153734098338176715588280993976704095889
  11. Tue Jun 24 17:01:12 2025 R1: -1
  12. Tue Jun 24 17:01:12 2025 A0: -1063
  13. Tue Jun 24 17:01:12 2025 A1: 0
  14. Tue Jun 24 17:01:12 2025 A2: 0
  15. Tue Jun 24 17:01:12 2025 A3: 0
  16. Tue Jun 24 17:01:12 2025 A4: 0
  17. Tue Jun 24 17:01:12 2025 A5: 0
  18. Tue Jun 24 17:01:12 2025 A6: 1
  19. Tue Jun 24 17:01:12 2025 skew 3.19, size 1.145e-12, alpha 0.946, combined = 1.304e-13 rroots = 2
  20. Tue Jun 24 17:01:12 2025
  21. Tue Jun 24 17:01:12 2025 commencing relation filtering
  22. Tue Jun 24 17:01:12 2025 setting target matrix density to 90.0
  23. Tue Jun 24 17:01:12 2025 estimated available RAM is 1031760.2 MB
  24. Tue Jun 24 17:01:12 2025 commencing duplicate removal, pass 1
  25. Tue Jun 24 17:02:22 2025 skipped 68 relations with b > 2^32
  26. Tue Jun 24 17:02:22 2025 skipped 1 relations with composite factors
  27. Tue Jun 24 17:02:22 2025 skipped 346 malformed relations
  28. Tue Jun 24 17:02:22 2025 found 8402907 hash collisions in 195775256 relations
  29. Tue Jun 24 17:02:31 2025 added 1218255 free relations
  30. Tue Jun 24 17:02:31 2025 commencing duplicate removal, pass 2
  31. Tue Jun 24 17:03:01 2025 found 0 duplicates and 196993511 unique relations
  32. Tue Jun 24 17:03:01 2025 memory use: 554.4 MB
  33. Tue Jun 24 17:03:01 2025 reading ideals above 720000
  34. Tue Jun 24 17:03:01 2025 commencing singleton removal, initial pass
  35. Tue Jun 24 17:07:10 2025 memory use: 5512.0 MB
  36. Tue Jun 24 17:07:11 2025 reading all ideals from disk
  37. Tue Jun 24 17:07:14 2025 memory use: 9531.3 MB
  38. Tue Jun 24 17:07:24 2025 keeping 178705122 ideals with weight <= 200, target excess is 1029119
  39. Tue Jun 24 17:07:38 2025 commencing in-memory singleton removal
  40. Tue Jun 24 17:07:38 2025 begin with 196993511 relations and 178705122 unique ideals
  41. Tue Jun 24 17:07:43 2025 reduce to 133032000 relations and 108705865 ideals in 14 passes
  42. Tue Jun 24 17:07:43 2025 max relations containing the same ideal: 162
  43. Tue Jun 24 17:08:08 2025 removing 10846689 relations and 8846689 ideals in 2000000 cliques
  44. Tue Jun 24 17:08:12 2025 commencing in-memory singleton removal
  45. Tue Jun 24 17:08:12 2025 begin with 122185311 relations and 108705865 unique ideals
  46. Tue Jun 24 17:08:15 2025 reduce to 121480871 relations and 99141248 ideals in 9 passes
  47. Tue Jun 24 17:08:15 2025 max relations containing the same ideal: 154
  48. Tue Jun 24 17:08:37 2025 removing 8327935 relations and 6327935 ideals in 2000000 cliques
  49. Tue Jun 24 17:08:41 2025 commencing in-memory singleton removal
  50. Tue Jun 24 17:08:41 2025 begin with 113152936 relations and 99141248 unique ideals
  51. Tue Jun 24 17:08:43 2025 reduce to 112678139 relations and 92330525 ideals in 7 passes
  52. Tue Jun 24 17:08:43 2025 max relations containing the same ideal: 147
  53. Tue Jun 24 17:09:04 2025 removing 7589252 relations and 5589252 ideals in 2000000 cliques
  54. Tue Jun 24 17:09:07 2025 commencing in-memory singleton removal
  55. Tue Jun 24 17:09:07 2025 begin with 105088887 relations and 92330525 unique ideals
  56. Tue Jun 24 17:09:09 2025 reduce to 104667106 relations and 86312425 ideals in 7 passes
  57. Tue Jun 24 17:09:09 2025 max relations containing the same ideal: 140
  58. Tue Jun 24 17:09:29 2025 removing 7220280 relations and 5220280 ideals in 2000000 cliques
  59. Tue Jun 24 17:09:32 2025 commencing in-memory singleton removal
  60. Tue Jun 24 17:09:32 2025 begin with 97446826 relations and 86312425 unique ideals
  61. Tue Jun 24 17:09:34 2025 reduce to 97041162 relations and 80679205 ideals in 8 passes
  62. Tue Jun 24 17:09:34 2025 max relations containing the same ideal: 138
  63. Tue Jun 24 17:09:53 2025 removing 7005621 relations and 5005621 ideals in 2000000 cliques
  64. Tue Jun 24 17:09:55 2025 commencing in-memory singleton removal
  65. Tue Jun 24 17:09:56 2025 begin with 90035541 relations and 80679205 unique ideals
  66. Tue Jun 24 17:09:57 2025 reduce to 89633051 relations and 75263652 ideals in 7 passes
  67. Tue Jun 24 17:09:57 2025 max relations containing the same ideal: 127
  68. Tue Jun 24 17:10:17 2025 removing 6874420 relations and 4874420 ideals in 2000000 cliques
  69. Tue Jun 24 17:10:19 2025 commencing in-memory singleton removal
  70. Tue Jun 24 17:10:20 2025 begin with 82758631 relations and 75263652 unique ideals
  71. Tue Jun 24 17:10:21 2025 reduce to 82343383 relations and 69965866 ideals in 7 passes
  72. Tue Jun 24 17:10:21 2025 max relations containing the same ideal: 119
  73. Tue Jun 24 17:10:38 2025 removing 6803236 relations and 4803236 ideals in 2000000 cliques
  74. Tue Jun 24 17:10:40 2025 commencing in-memory singleton removal
  75. Tue Jun 24 17:10:40 2025 begin with 75540147 relations and 69965866 unique ideals
  76. Tue Jun 24 17:10:42 2025 reduce to 75103085 relations and 64716306 ideals in 7 passes
  77. Tue Jun 24 17:10:42 2025 max relations containing the same ideal: 112
  78. Tue Jun 24 17:10:57 2025 removing 6770551 relations and 4770551 ideals in 2000000 cliques
  79. Tue Jun 24 17:11:00 2025 commencing in-memory singleton removal
  80. Tue Jun 24 17:11:00 2025 begin with 68332534 relations and 64716306 unique ideals
  81. Tue Jun 24 17:11:01 2025 reduce to 67861988 relations and 59464447 ideals in 7 passes
  82. Tue Jun 24 17:11:01 2025 max relations containing the same ideal: 105
  83. Tue Jun 24 17:11:15 2025 removing 6778944 relations and 4778944 ideals in 2000000 cliques
  84. Tue Jun 24 17:11:17 2025 commencing in-memory singleton removal
  85. Tue Jun 24 17:11:17 2025 begin with 61083044 relations and 59464447 unique ideals
  86. Tue Jun 24 17:11:18 2025 reduce to 60566604 relations and 54155932 ideals in 7 passes
  87. Tue Jun 24 17:11:18 2025 max relations containing the same ideal: 98
  88. Tue Jun 24 17:11:31 2025 removing 6819190 relations and 4819190 ideals in 2000000 cliques
  89. Tue Jun 24 17:11:33 2025 commencing in-memory singleton removal
  90. Tue Jun 24 17:11:33 2025 begin with 53747414 relations and 54155932 unique ideals
  91. Tue Jun 24 17:11:34 2025 reduce to 53158993 relations and 48731557 ideals in 8 passes
  92. Tue Jun 24 17:11:34 2025 max relations containing the same ideal: 87
  93. Tue Jun 24 17:11:45 2025 removing 6891123 relations and 4891123 ideals in 2000000 cliques
  94. Tue Jun 24 17:11:47 2025 commencing in-memory singleton removal
  95. Tue Jun 24 17:11:47 2025 begin with 46267870 relations and 48731557 unique ideals
  96. Tue Jun 24 17:11:48 2025 reduce to 45580104 relations and 43130342 ideals in 8 passes
  97. Tue Jun 24 17:11:48 2025 max relations containing the same ideal: 80
  98. Tue Jun 24 17:11:57 2025 removing 4837473 relations and 3581490 ideals in 1255983 cliques
  99. Tue Jun 24 17:11:59 2025 commencing in-memory singleton removal
  100. Tue Jun 24 17:11:59 2025 begin with 40742631 relations and 43130342 unique ideals
  101. Tue Jun 24 17:12:00 2025 reduce to 40350933 relations and 39147638 ideals in 8 passes
  102. Tue Jun 24 17:12:00 2025 max relations containing the same ideal: 76
  103. Tue Jun 24 17:12:09 2025 removing 75452 relations and 65936 ideals in 9516 cliques
  104. Tue Jun 24 17:12:09 2025 commencing in-memory singleton removal
  105. Tue Jun 24 17:12:10 2025 begin with 40275481 relations and 39147638 unique ideals
  106. Tue Jun 24 17:12:10 2025 reduce to 40275367 relations and 39081588 ideals in 5 passes
  107. Tue Jun 24 17:12:10 2025 max relations containing the same ideal: 76
  108. Tue Jun 24 17:12:14 2025 relations with 0 large ideals: 38507
  109. Tue Jun 24 17:12:14 2025 relations with 1 large ideals: 19296
  110. Tue Jun 24 17:12:14 2025 relations with 2 large ideals: 222462
  111. Tue Jun 24 17:12:14 2025 relations with 3 large ideals: 1350276
  112. Tue Jun 24 17:12:14 2025 relations with 4 large ideals: 4438952
  113. Tue Jun 24 17:12:14 2025 relations with 5 large ideals: 8713846
  114. Tue Jun 24 17:12:14 2025 relations with 6 large ideals: 10726545
  115. Tue Jun 24 17:12:14 2025 relations with 7+ large ideals: 14765483
  116. Tue Jun 24 17:12:14 2025 commencing 2-way merge
  117. Tue Jun 24 17:12:28 2025 reduce to 26029103 relation sets and 24835324 unique ideals
  118. Tue Jun 24 17:12:28 2025 commencing full merge
  119. Tue Jun 24 17:16:37 2025 memory use: 3168.4 MB
  120. Tue Jun 24 17:16:38 2025 found 13011312 cycles, need 12853524
  121. Tue Jun 24 17:16:41 2025 weight of 12853524 cycles is about 1157297137 (90.04/cycle)
  122. Tue Jun 24 17:16:41 2025 distribution of cycle lengths:
  123. Tue Jun 24 17:16:41 2025 1 relations: 1200558
  124. Tue Jun 24 17:16:41 2025 2 relations: 1223099
  125. Tue Jun 24 17:16:41 2025 3 relations: 1265203
  126. Tue Jun 24 17:16:41 2025 4 relations: 1226456
  127. Tue Jun 24 17:16:41 2025 5 relations: 1197550
  128. Tue Jun 24 17:16:41 2025 6 relations: 1131599
  129. Tue Jun 24 17:16:41 2025 7 relations: 1039606
  130. Tue Jun 24 17:16:41 2025 8 relations: 926075
  131. Tue Jun 24 17:16:41 2025 9 relations: 801719
  132. Tue Jun 24 17:16:41 2025 10+ relations: 2841659
  133. Tue Jun 24 17:16:41 2025 heaviest cycle: 23 relations
  134. Tue Jun 24 17:16:44 2025 commencing cycle optimization
  135. Tue Jun 24 17:16:54 2025 start with 82667581 relations
  136. Tue Jun 24 17:18:12 2025 pruned 2794160 relations
  137. Tue Jun 24 17:18:13 2025 memory use: 2503.8 MB
  138. Tue Jun 24 17:18:13 2025 distribution of cycle lengths:
  139. Tue Jun 24 17:18:13 2025 1 relations: 1200558
  140. Tue Jun 24 17:18:13 2025 2 relations: 1250566
  141. Tue Jun 24 17:18:13 2025 3 relations: 1313708
  142. Tue Jun 24 17:18:13 2025 4 relations: 1269134
  143. Tue Jun 24 17:18:13 2025 5 relations: 1246519
  144. Tue Jun 24 17:18:13 2025 6 relations: 1171380
  145. Tue Jun 24 17:18:13 2025 7 relations: 1074886
  146. Tue Jun 24 17:18:13 2025 8 relations: 947449
  147. Tue Jun 24 17:18:13 2025 9 relations: 811800
  148. Tue Jun 24 17:18:13 2025 10+ relations: 2567524
  149. Tue Jun 24 17:18:13 2025 heaviest cycle: 23 relations
  150. Tue Jun 24 17:18:22 2025 RelProcTime: 1030
  151. Tue Jun 24 17:18:22 2025 elapsed time 00:17:11
  152. Tue Jun 24 17:18:29 2025
  153. Tue Jun 24 17:18:29 2025
  154. Tue Jun 24 17:18:29 2025 Msieve v. 1.54 (SVN unknown)
  155. Tue Jun 24 17:18:29 2025 random seeds: 4966dc3e 24abd075
  156. Tue Jun 24 17:18:29 2025 MPI process 0 of 4
  157. Tue Jun 24 17:18:29 2025 Using 10 OpenMP threads
  158. Tue Jun 24 17:18:29 2025 factoring 898297037748146060790814437738656828616855154533021433920853135390473344777802115279649189669227994532484831103330204678011462834209710328535981660765230933781368195508112076424466269758099981885120791299672560486683877853454457246850014415971199 (246 digits)
  159. Tue Jun 24 17:18:29 2025 no P-1/P+1/ECM available, skipping
  160. Tue Jun 24 17:18:29 2025 commencing number field sieve (246-digit input)
  161. Tue Jun 24 17:18:29 2025 R0: 2352153734098338176715588280993976704095889
  162. Tue Jun 24 17:18:29 2025 R1: -1
  163. Tue Jun 24 17:18:29 2025 A0: -1063
  164. Tue Jun 24 17:18:29 2025 A1: 0
  165. Tue Jun 24 17:18:29 2025 A2: 0
  166. Tue Jun 24 17:18:29 2025 A3: 0
  167. Tue Jun 24 17:18:29 2025 A4: 0
  168. Tue Jun 24 17:18:29 2025 A5: 0
  169. Tue Jun 24 17:18:29 2025 A6: 1
  170. Tue Jun 24 17:18:29 2025 skew 3.19, size 1.145e-12, alpha 0.946, combined = 1.304e-13 rroots = 2
  171. Tue Jun 24 17:18:29 2025
  172. Tue Jun 24 17:18:29 2025 commencing linear algebra
  173. Tue Jun 24 17:18:29 2025 using VBITS=256
  174. Tue Jun 24 17:18:29 2025 initialized process (0,0) of 2 x 2 grid
  175. Tue Jun 24 17:18:30 2025 read 12853524 cycles
  176. Tue Jun 24 17:18:41 2025 cycles contain 39585443 unique relations
  177. Tue Jun 24 17:19:01 2025 read 39585443 relations
  178. Tue Jun 24 17:19:09 2025 using 20 quadratic characters above 4294917295
  179. Tue Jun 24 17:19:22 2025 building initial matrix
  180. Tue Jun 24 17:23:32 2025 memory use: 5068.9 MB
  181. Tue Jun 24 17:23:38 2025 read 12853524 cycles
  182. Tue Jun 24 17:23:39 2025 matrix is 12853346 x 12853524 (4689.7 MB) with weight 1351594414 (105.15/col)
  183. Tue Jun 24 17:23:39 2025 sparse part has weight 1100832752 (85.64/col)
  184. Tue Jun 24 17:24:43 2025 filtering completed in 2 passes
  185. Tue Jun 24 17:24:45 2025 matrix is 12851014 x 12851185 (4689.5 MB) with weight 1351521733 (105.17/col)
  186. Tue Jun 24 17:24:45 2025 sparse part has weight 1100805042 (85.66/col)
  187. Tue Jun 24 17:25:05 2025 matrix starts at (0, 0)
  188. Tue Jun 24 17:25:05 2025 matrix is 6425627 x 6425610 (1400.0 MB) with weight 428094672 (66.62/col)
  189. Tue Jun 24 17:25:05 2025 sparse part has weight 302733436 (47.11/col)
  190. Tue Jun 24 17:25:05 2025 saving the first 240 matrix rows for later
  191. Tue Jun 24 17:25:06 2025 matrix includes 256 packed rows
  192. Tue Jun 24 17:25:07 2025 matrix is 6425387 x 6425610 (1261.1 MB) with weight 247769603 (38.56/col)
  193. Tue Jun 24 17:25:07 2025 sparse part has weight 227773880 (35.45/col)
  194. Tue Jun 24 17:25:07 2025 using GPU 0 (NVIDIA H200)
  195. Tue Jun 24 17:25:07 2025 selected card has CUDA arch 9.0
  196. Tue Jun 24 17:25:23 2025 commencing Lanczos iteration
  197. Tue Jun 24 17:25:23 2025 memory use: 2963.4 MB
  198. Tue Jun 24 17:25:27 2025 linear algebra at 0.2%, ETA 0h20m
  199. Tue Jun 24 17:25:31 2025 checking every 650000 dimensions, checkpointing every 39650000 dimensions
  200. Tue Jun 24 17:46:35 2025 lanczos halted after 50350 iterations (dim = 12850774)
  201. Tue Jun 24 17:47:06 2025 recovered 35 nontrivial dependencies
  202. Tue Jun 24 17:47:06 2025 BLanczosTime: 1717
  203. Tue Jun 24 17:47:06 2025 elapsed time 00:28:37
  204. Tue Jun 24 17:47:10 2025
  205. Tue Jun 24 17:47:10 2025
  206. Tue Jun 24 17:47:10 2025 Msieve v. 1.54 (SVN Unversioned directory)
  207. Tue Jun 24 17:47:10 2025 random seeds: 2e4c5b0e 77ee6756
  208. Tue Jun 24 17:47:10 2025 MPI process 0 of 1
  209. Tue Jun 24 17:47:10 2025 Using 64 OpenMP threads
  210. Tue Jun 24 17:47:10 2025 factoring 898297037748146060790814437738656828616855154533021433920853135390473344777802115279649189669227994532484831103330204678011462834209710328535981660765230933781368195508112076424466269758099981885120791299672560486683877853454457246850014415971199 (246 digits)
  211. Tue Jun 24 17:47:10 2025 no P-1/P+1/ECM available, skipping
  212. Tue Jun 24 17:47:10 2025 commencing number field sieve (246-digit input)
  213. Tue Jun 24 17:47:10 2025 R0: 2352153734098338176715588280993976704095889
  214. Tue Jun 24 17:47:10 2025 R1: -1
  215. Tue Jun 24 17:47:10 2025 A0: -1063
  216. Tue Jun 24 17:47:10 2025 A1: 0
  217. Tue Jun 24 17:47:10 2025 A2: 0
  218. Tue Jun 24 17:47:10 2025 A3: 0
  219. Tue Jun 24 17:47:10 2025 A4: 0
  220. Tue Jun 24 17:47:10 2025 A5: 0
  221. Tue Jun 24 17:47:10 2025 A6: 1
  222. Tue Jun 24 17:47:10 2025 skew 3.19, size 1.145e-12, alpha 0.946, combined = 1.304e-13 rroots = 2
  223. Tue Jun 24 17:47:10 2025
  224. Tue Jun 24 17:47:10 2025 commencing square root phase
  225. Tue Jun 24 17:47:10 2025 reading relations for dependency 1
  226. Tue Jun 24 17:47:11 2025 read 6428324 cycles
  227. Tue Jun 24 17:47:16 2025 cycles contain 19797112 unique relations
  228. Tue Jun 24 17:47:26 2025 read 19797112 relations
  229. Tue Jun 24 17:48:07 2025 multiplying 19797112 relations
  230. Tue Jun 24 17:48:57 2025 multiply complete, coefficients have about 525.59 million bits
  231. Tue Jun 24 17:48:59 2025 initial square root is modulo 2695694413
  232. Tue Jun 24 17:51:04 2025 GCD is N, no factor found
  233. Tue Jun 24 17:51:04 2025 reading relations for dependency 2
  234. Tue Jun 24 17:51:05 2025 read 6427065 cycles
  235. Tue Jun 24 17:51:10 2025 cycles contain 19789020 unique relations
  236. Tue Jun 24 17:51:19 2025 read 19789020 relations
  237. Tue Jun 24 17:52:00 2025 multiplying 19789020 relations
  238. Tue Jun 24 17:52:47 2025 multiply complete, coefficients have about 525.35 million bits
  239. Tue Jun 24 17:52:48 2025 initial square root is modulo 2669708017
  240. Tue Jun 24 17:54:55 2025 sqrtTime: 465
  241. Tue Jun 24 17:54:55 2025 p97 factor: 6446751621956303280602221368100532552996980277221386307511716943491658939006626948684762559727937
  242. Tue Jun 24 17:54:55 2025 p150 factor: 139341034124648459561756557831827298510808416836418277245563374689583442431853768130107968937883567860540749404313776180381456514132350637037436353727
  243. Tue Jun 24 17:54:55 2025 elapsed time 00:07:45
  244.  
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