gchilders

166__721_13m1

May 1st, 2026
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  1. Fri May 1 10:06:57 2026
  2. Fri May 1 10:06:57 2026
  3. Fri May 1 10:06:57 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri May 1 10:06:57 2026 random seeds: 686c732c 2082b94c
  5. Fri May 1 10:06:57 2026 MPI process 0 of 1
  6. Fri May 1 10:06:57 2026 Using 46 OpenMP threads
  7. Fri May 1 10:06:57 2026 factoring 475124954795288860129705042192865805219563886611137707745256496004970537225839911490841533785739561088207738818567789939053711429964982878456082732389300441952218103118455912743476379439 (186 digits)
  8. Fri May 1 10:06:57 2026 no P-1/P+1/ECM available, skipping
  9. Fri May 1 10:06:57 2026 commencing number field sieve (186-digit input)
  10. Fri May 1 10:06:57 2026 R0: 278149787999229560574306992271448827842
  11. Fri May 1 10:06:57 2026 R1: -16677823239236874721
  12. Fri May 1 10:06:57 2026 A0: -1
  13. Fri May 1 10:06:57 2026 A1: 3
  14. Fri May 1 10:06:57 2026 A2: 6
  15. Fri May 1 10:06:57 2026 A3: -4
  16. Fri May 1 10:06:57 2026 A4: -5
  17. Fri May 1 10:06:57 2026 A5: 1
  18. Fri May 1 10:06:57 2026 A6: 1
  19. Fri May 1 10:06:57 2026 skew 1.37, size 2.337e-11, alpha 3.126, combined = 1.165e-12 rroots = 6
  20. Fri May 1 10:06:57 2026
  21. Fri May 1 10:06:57 2026 commencing relation filtering
  22. Fri May 1 10:06:57 2026 setting target matrix density to 110.0
  23. Fri May 1 10:06:57 2026 estimated available RAM is 773418.9 MB
  24. Fri May 1 10:06:57 2026 commencing duplicate removal, pass 1
  25. Fri May 1 10:07:47 2026 skipped 4 relations with b > 2^32
  26. Fri May 1 10:07:47 2026 skipped 26 malformed relations
  27. Fri May 1 10:07:47 2026 found 4749989 hash collisions in 104265510 relations
  28. Fri May 1 10:07:52 2026 added 2438358 free relations
  29. Fri May 1 10:07:52 2026 commencing duplicate removal, pass 2
  30. Fri May 1 10:08:13 2026 found 0 duplicates and 106703868 unique relations
  31. Fri May 1 10:08:13 2026 memory use: 277.2 MB
  32. Fri May 1 10:08:13 2026 reading ideals above 720000
  33. Fri May 1 10:08:13 2026 commencing singleton removal, initial pass
  34. Fri May 1 10:10:55 2026 memory use: 3012.0 MB
  35. Fri May 1 10:10:55 2026 reading all ideals from disk
  36. Fri May 1 10:10:57 2026 memory use: 4809.1 MB
  37. Fri May 1 10:11:01 2026 keeping 111185109 ideals with weight <= 200, target excess is 545080
  38. Fri May 1 10:11:07 2026 commencing in-memory singleton removal
  39. Fri May 1 10:11:07 2026 begin with 106703868 relations and 111185109 unique ideals
  40. Fri May 1 10:11:11 2026 reduce to 47869806 relations and 43464474 ideals in 18 passes
  41. Fri May 1 10:11:11 2026 max relations containing the same ideal: 119
  42. Fri May 1 10:11:21 2026 removing 3714646 relations and 3314646 ideals in 400000 cliques
  43. Fri May 1 10:11:22 2026 commencing in-memory singleton removal
  44. Fri May 1 10:11:22 2026 begin with 44155160 relations and 43464474 unique ideals
  45. Fri May 1 10:11:23 2026 reduce to 43887454 relations and 39878742 ideals in 10 passes
  46. Fri May 1 10:11:23 2026 max relations containing the same ideal: 113
  47. Fri May 1 10:11:32 2026 removing 2754366 relations and 2354366 ideals in 400000 cliques
  48. Fri May 1 10:11:34 2026 commencing in-memory singleton removal
  49. Fri May 1 10:11:34 2026 begin with 41133088 relations and 39878742 unique ideals
  50. Fri May 1 10:11:35 2026 reduce to 40972510 relations and 37362201 ideals in 10 passes
  51. Fri May 1 10:11:35 2026 max relations containing the same ideal: 108
  52. Fri May 1 10:11:43 2026 removing 2456827 relations and 2056827 ideals in 400000 cliques
  53. Fri May 1 10:11:44 2026 commencing in-memory singleton removal
  54. Fri May 1 10:11:44 2026 begin with 38515683 relations and 37362201 unique ideals
  55. Fri May 1 10:11:45 2026 reduce to 38382108 relations and 35170484 ideals in 9 passes
  56. Fri May 1 10:11:45 2026 max relations containing the same ideal: 103
  57. Fri May 1 10:11:53 2026 removing 2296911 relations and 1896911 ideals in 400000 cliques
  58. Fri May 1 10:11:54 2026 commencing in-memory singleton removal
  59. Fri May 1 10:11:54 2026 begin with 36085197 relations and 35170484 unique ideals
  60. Fri May 1 10:11:55 2026 reduce to 35961012 relations and 33148124 ideals in 9 passes
  61. Fri May 1 10:11:55 2026 max relations containing the same ideal: 97
  62. Fri May 1 10:12:02 2026 removing 2195259 relations and 1795259 ideals in 400000 cliques
  63. Fri May 1 10:12:03 2026 commencing in-memory singleton removal
  64. Fri May 1 10:12:03 2026 begin with 33765753 relations and 33148124 unique ideals
  65. Fri May 1 10:12:04 2026 reduce to 33648624 relations and 31234503 ideals in 8 passes
  66. Fri May 1 10:12:04 2026 max relations containing the same ideal: 94
  67. Fri May 1 10:12:11 2026 removing 2127650 relations and 1727650 ideals in 400000 cliques
  68. Fri May 1 10:12:12 2026 commencing in-memory singleton removal
  69. Fri May 1 10:12:12 2026 begin with 31520974 relations and 31234503 unique ideals
  70. Fri May 1 10:12:13 2026 reduce to 31404259 relations and 29388850 ideals in 8 passes
  71. Fri May 1 10:12:13 2026 max relations containing the same ideal: 92
  72. Fri May 1 10:12:19 2026 removing 2076509 relations and 1676509 ideals in 400000 cliques
  73. Fri May 1 10:12:20 2026 commencing in-memory singleton removal
  74. Fri May 1 10:12:20 2026 begin with 29327750 relations and 29388850 unique ideals
  75. Fri May 1 10:12:21 2026 reduce to 29211441 relations and 27594658 ideals in 8 passes
  76. Fri May 1 10:12:21 2026 max relations containing the same ideal: 88
  77. Fri May 1 10:12:27 2026 removing 2037655 relations and 1637655 ideals in 400000 cliques
  78. Fri May 1 10:12:27 2026 commencing in-memory singleton removal
  79. Fri May 1 10:12:28 2026 begin with 27173786 relations and 27594658 unique ideals
  80. Fri May 1 10:12:28 2026 reduce to 27055288 relations and 25837080 ideals in 8 passes
  81. Fri May 1 10:12:28 2026 max relations containing the same ideal: 83
  82. Fri May 1 10:12:34 2026 removing 2012130 relations and 1612130 ideals in 400000 cliques
  83. Fri May 1 10:12:34 2026 commencing in-memory singleton removal
  84. Fri May 1 10:12:35 2026 begin with 25043158 relations and 25837080 unique ideals
  85. Fri May 1 10:12:35 2026 reduce to 24919235 relations and 24099396 ideals in 8 passes
  86. Fri May 1 10:12:35 2026 max relations containing the same ideal: 79
  87. Fri May 1 10:12:40 2026 removing 1079331 relations and 891785 ideals in 187546 cliques
  88. Fri May 1 10:12:41 2026 commencing in-memory singleton removal
  89. Fri May 1 10:12:41 2026 begin with 23839904 relations and 24099396 unique ideals
  90. Fri May 1 10:12:41 2026 reduce to 23804177 relations and 23171646 ideals in 7 passes
  91. Fri May 1 10:12:41 2026 max relations containing the same ideal: 77
  92. Fri May 1 10:12:49 2026 relations with 0 large ideals: 41791
  93. Fri May 1 10:12:49 2026 relations with 1 large ideals: 10179
  94. Fri May 1 10:12:49 2026 relations with 2 large ideals: 123646
  95. Fri May 1 10:12:49 2026 relations with 3 large ideals: 776559
  96. Fri May 1 10:12:49 2026 relations with 4 large ideals: 2628480
  97. Fri May 1 10:12:49 2026 relations with 5 large ideals: 5249770
  98. Fri May 1 10:12:49 2026 relations with 6 large ideals: 6415185
  99. Fri May 1 10:12:49 2026 relations with 7+ large ideals: 8558567
  100. Fri May 1 10:12:49 2026 commencing 2-way merge
  101. Fri May 1 10:12:58 2026 reduce to 14465457 relation sets and 13832926 unique ideals
  102. Fri May 1 10:12:58 2026 commencing full merge
  103. Fri May 1 10:16:33 2026 memory use: 1917.8 MB
  104. Fri May 1 10:16:34 2026 found 6531907 cycles, need 6529126
  105. Fri May 1 10:16:35 2026 weight of 6529126 cycles is about 718782678 (110.09/cycle)
  106. Fri May 1 10:16:35 2026 distribution of cycle lengths:
  107. Fri May 1 10:16:35 2026 1 relations: 515668
  108. Fri May 1 10:16:35 2026 2 relations: 515008
  109. Fri May 1 10:16:35 2026 3 relations: 502376
  110. Fri May 1 10:16:35 2026 4 relations: 476255
  111. Fri May 1 10:16:35 2026 5 relations: 452182
  112. Fri May 1 10:16:35 2026 6 relations: 427446
  113. Fri May 1 10:16:35 2026 7 relations: 399947
  114. Fri May 1 10:16:35 2026 8 relations: 371303
  115. Fri May 1 10:16:35 2026 9 relations: 345422
  116. Fri May 1 10:16:35 2026 10+ relations: 2523519
  117. Fri May 1 10:16:35 2026 heaviest cycle: 28 relations
  118. Fri May 1 10:16:36 2026 commencing cycle optimization
  119. Fri May 1 10:16:44 2026 start with 56969867 relations
  120. Fri May 1 10:18:05 2026 pruned 2159565 relations
  121. Fri May 1 10:18:05 2026 memory use: 1556.6 MB
  122. Fri May 1 10:18:05 2026 distribution of cycle lengths:
  123. Fri May 1 10:18:05 2026 1 relations: 515668
  124. Fri May 1 10:18:05 2026 2 relations: 524605
  125. Fri May 1 10:18:05 2026 3 relations: 519010
  126. Fri May 1 10:18:05 2026 4 relations: 491240
  127. Fri May 1 10:18:05 2026 5 relations: 469784
  128. Fri May 1 10:18:05 2026 6 relations: 442362
  129. Fri May 1 10:18:05 2026 7 relations: 414306
  130. Fri May 1 10:18:05 2026 8 relations: 383550
  131. Fri May 1 10:18:05 2026 9 relations: 356608
  132. Fri May 1 10:18:05 2026 10+ relations: 2411993
  133. Fri May 1 10:18:05 2026 heaviest cycle: 28 relations
  134. Fri May 1 10:18:12 2026 RelProcTime: 675
  135. Fri May 1 10:18:12 2026 elapsed time 00:11:15
  136. Fri May 1 10:18:14 2026
  137. Fri May 1 10:18:14 2026
  138. Fri May 1 10:18:14 2026 Msieve v. 1.54 (SVN Unversioned directory)
  139. Fri May 1 10:18:14 2026 random seeds: 6949ce34 605bb5a8
  140. Fri May 1 10:18:14 2026 MPI process 0 of 1
  141. Fri May 1 10:18:14 2026 Using 46 OpenMP threads
  142. Fri May 1 10:18:14 2026 factoring 475124954795288860129705042192865805219563886611137707745256496004970537225839911490841533785739561088207738818567789939053711429964982878456082732389300441952218103118455912743476379439 (186 digits)
  143. Fri May 1 10:18:14 2026 no P-1/P+1/ECM available, skipping
  144. Fri May 1 10:18:14 2026 commencing number field sieve (186-digit input)
  145. Fri May 1 10:18:14 2026 R0: 278149787999229560574306992271448827842
  146. Fri May 1 10:18:14 2026 R1: -16677823239236874721
  147. Fri May 1 10:18:14 2026 A0: -1
  148. Fri May 1 10:18:14 2026 A1: 3
  149. Fri May 1 10:18:14 2026 A2: 6
  150. Fri May 1 10:18:14 2026 A3: -4
  151. Fri May 1 10:18:14 2026 A4: -5
  152. Fri May 1 10:18:14 2026 A5: 1
  153. Fri May 1 10:18:14 2026 A6: 1
  154. Fri May 1 10:18:14 2026 skew 1.37, size 2.337e-11, alpha 3.126, combined = 1.165e-12 rroots = 6
  155. Fri May 1 10:18:14 2026
  156. Fri May 1 10:18:14 2026 commencing linear algebra
  157. Fri May 1 10:18:14 2026 using VBITS=256
  158. Fri May 1 10:18:14 2026 stopping after matrix build
  159. Fri May 1 10:18:14 2026 initialized process (0,0) of 1 x 1 grid
  160. Fri May 1 10:18:15 2026 read 6529126 cycles
  161. Fri May 1 10:18:23 2026 cycles contain 23374510 unique relations
  162. Fri May 1 10:18:31 2026 read 23374510 relations
  163. Fri May 1 10:18:33 2026 using 20 quadratic characters above 4294917295
  164. Fri May 1 10:18:36 2026 building initial matrix
  165. Fri May 1 10:21:28 2026 memory use: 2788.6 MB
  166. Fri May 1 10:21:33 2026 read 6529126 cycles
  167. Fri May 1 10:21:34 2026 matrix is 6528949 x 6529126 (2831.8 MB) with weight 801534945 (122.76/col)
  168. Fri May 1 10:21:34 2026 sparse part has weight 677060552 (103.70/col)
  169. Fri May 1 10:22:19 2026 filtering completed in 2 passes
  170. Fri May 1 10:22:20 2026 matrix is 6528793 x 6528955 (2831.8 MB) with weight 801530102 (122.77/col)
  171. Fri May 1 10:22:20 2026 sparse part has weight 677058965 (103.70/col)
  172. Fri May 1 10:22:31 2026 BLanczosTime: 257
  173. Fri May 1 10:22:31 2026 elapsed time 00:04:17
  174. Fri May 1 10:22:33 2026
  175. Fri May 1 10:22:33 2026
  176. Fri May 1 10:22:33 2026 Msieve v. 1.54 (SVN Unversioned directory)
  177. Fri May 1 10:22:33 2026 random seeds: dce95d3f 2258d030
  178. Fri May 1 10:22:33 2026 MPI process 0 of 1
  179. Fri May 1 10:22:33 2026 Using 6 OpenMP threads
  180. Fri May 1 10:22:33 2026 factoring 475124954795288860129705042192865805219563886611137707745256496004970537225839911490841533785739561088207738818567789939053711429964982878456082732389300441952218103118455912743476379439 (186 digits)
  181. Fri May 1 10:22:33 2026 no P-1/P+1/ECM available, skipping
  182. Fri May 1 10:22:33 2026 commencing number field sieve (186-digit input)
  183. Fri May 1 10:22:33 2026 R0: 278149787999229560574306992271448827842
  184. Fri May 1 10:22:33 2026 R1: -16677823239236874721
  185. Fri May 1 10:22:33 2026 A0: -1
  186. Fri May 1 10:22:33 2026 A1: 3
  187. Fri May 1 10:22:33 2026 A2: 6
  188. Fri May 1 10:22:33 2026 A3: -4
  189. Fri May 1 10:22:33 2026 A4: -5
  190. Fri May 1 10:22:33 2026 A5: 1
  191. Fri May 1 10:22:33 2026 A6: 1
  192. Fri May 1 10:22:33 2026 skew 1.37, size 2.337e-11, alpha 3.126, combined = 1.165e-12 rroots = 6
  193. Fri May 1 10:22:33 2026
  194. Fri May 1 10:22:33 2026 commencing linear algebra
  195. Fri May 1 10:22:33 2026 using VBITS=256
  196. Fri May 1 10:22:33 2026 skipping matrix build
  197. Fri May 1 10:22:33 2026 initialized process (0,0) of 1 x 1 grid
  198. Fri May 1 10:22:37 2026 matrix starts at (0, 0)
  199. Fri May 1 10:22:38 2026 matrix is 6528793 x 6528955 (2831.8 MB) with weight 801530102 (122.77/col)
  200. Fri May 1 10:22:38 2026 sparse part has weight 677058965 (103.70/col)
  201. Fri May 1 10:22:38 2026 saving the first 240 matrix rows for later
  202. Fri May 1 10:22:39 2026 matrix includes 256 packed rows
  203. Fri May 1 10:22:40 2026 matrix is 6528553 x 6528955 (2616.8 MB) with weight 613577564 (93.98/col)
  204. Fri May 1 10:22:40 2026 sparse part has weight 581518542 (89.07/col)
  205. Fri May 1 10:22:40 2026 using GPU 0 (NVIDIA A100-SXM4-40GB)
  206. Fri May 1 10:22:40 2026 selected card has CUDA arch 8.0
  207. Fri May 1 10:23:22 2026 commencing Lanczos iteration
  208. Fri May 1 10:23:23 2026 memory use: 6279.7 MB
  209. Fri May 1 10:23:34 2026 linear algebra at 0.5%, ETA 0h38m
  210. Fri May 1 10:23:51 2026 checking every 160000 dimensions, checkpointing every 9920000 dimensions
  211. Fri May 1 11:03:05 2026 lanczos halted after 25580 iterations (dim = 6528552)
  212. Fri May 1 11:03:29 2026 recovered 36 nontrivial dependencies
  213. Fri May 1 11:03:29 2026 BLanczosTime: 2456
  214. Fri May 1 11:03:29 2026 elapsed time 00:40:56
  215. Fri May 1 11:17:35 2026
  216. Fri May 1 11:17:35 2026
  217. Fri May 1 11:17:35 2026 Msieve v. 1.54 (SVN Unversioned directory)
  218. Fri May 1 11:17:35 2026 random seeds: d3dd1122 8d22d40b
  219. Fri May 1 11:17:35 2026 MPI process 0 of 1
  220. Fri May 1 11:17:35 2026 Using 32 OpenMP threads
  221. Fri May 1 11:17:35 2026 factoring 475124954795288860129705042192865805219563886611137707745256496004970537225839911490841533785739561088207738818567789939053711429964982878456082732389300441952218103118455912743476379439 (186 digits)
  222. Fri May 1 11:17:35 2026 no P-1/P+1/ECM available, skipping
  223. Fri May 1 11:17:35 2026 commencing number field sieve (186-digit input)
  224. Fri May 1 11:17:35 2026 R0: 278149787999229560574306992271448827842
  225. Fri May 1 11:17:35 2026 R1: -16677823239236874721
  226. Fri May 1 11:17:35 2026 A0: -1
  227. Fri May 1 11:17:35 2026 A1: 3
  228. Fri May 1 11:17:35 2026 A2: 6
  229. Fri May 1 11:17:35 2026 A3: -4
  230. Fri May 1 11:17:35 2026 A4: -5
  231. Fri May 1 11:17:35 2026 A5: 1
  232. Fri May 1 11:17:35 2026 A6: 1
  233. Fri May 1 11:17:35 2026 skew 1.37, size 2.337e-11, alpha 3.126, combined = 1.165e-12 rroots = 6
  234. Fri May 1 11:17:35 2026
  235. Fri May 1 11:17:35 2026 commencing square root phase
  236. Fri May 1 11:17:35 2026 reading relations for dependency 1
  237. Fri May 1 11:17:36 2026 read 3266321 cycles
  238. Fri May 1 11:17:40 2026 cycles contain 11689050 unique relations
  239. Fri May 1 11:17:47 2026 read 11689050 relations
  240. Fri May 1 11:18:13 2026 multiplying 11689050 relations
  241. Fri May 1 11:18:39 2026 multiply complete, coefficients have about 282.49 million bits
  242. Fri May 1 11:18:40 2026 initial square root is modulo 117223
  243. Fri May 1 11:19:52 2026 sqrtTime: 137
  244. Fri May 1 11:19:52 2026 p74 factor: 34792941923811807427698623526273564623891801399681973906565381791250092023
  245. Fri May 1 11:19:52 2026 p113 factor: 13655785585355170081127431415696150102496663350882750813648985173888766918441191614858631412547754571037031853193
  246. Fri May 1 11:19:52 2026 elapsed time 00:02:17
  247.  
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