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  1. Thu Apr 2 12:01:25 2026 Msieve v. 1.54 (SVN 573b9ef)
  2. Thu Apr 2 12:01:25 2026 random seeds: 0914ae4d f10afda3
  3. Thu Apr 2 12:01:25 2026 Using 32 OpenMP threads
  4. Thu Apr 2 12:01:25 2026 factoring 97329408589822154482678946251529733485755933340268885218363384368049244205280216582153614559664300480188430208095549393615179361528959859005426981041944699480615146127493028550005933 (182 digits)
  5. Thu Apr 2 12:01:26 2026 no P-1/P+1/ECM available, skipping
  6. Thu Apr 2 12:01:26 2026 commencing number field sieve (182-digit input)
  7. Thu Apr 2 12:01:26 2026 R0: -180322661540217934236816095499668833
  8. Thu Apr 2 12:01:26 2026 R1: 56375079656555138615639
  9. Thu Apr 2 12:01:26 2026 A0: -1922791098080009493878922765268775717280
  10. Thu Apr 2 12:01:26 2026 A1: -414816580657821162991542058606276
  11. Thu Apr 2 12:01:26 2026 A2: 7866057131537845369044884867
  12. Thu Apr 2 12:01:26 2026 A3: 2709176731760784521151
  13. Thu Apr 2 12:01:26 2026 A4: -2466343980612232
  14. Thu Apr 2 12:01:26 2026 A5: 28588560
  15. Thu Apr 2 12:01:26 2026 skew 1.00, size 9.798e-18, alpha -6.822, combined = 7.704e-16 rroots = 5
  16. Thu Apr 2 12:01:26 2026
  17. Thu Apr 2 12:01:26 2026 commencing relation filtering
  18. Thu Apr 2 12:01:26 2026 setting target matrix density to 105.0
  19. Thu Apr 2 12:01:26 2026 estimated available RAM is 128740.1 MB
  20. Thu Apr 2 12:01:26 2026 commencing duplicate removal, pass 1
  21. Thu Apr 2 12:02:38 2026 error -11 reading relation 127558260
  22. Thu Apr 2 12:03:25 2026 skipped 1 malformed relations
  23. Thu Apr 2 12:03:25 2026 found 9231326 hash collisions in 205481193 relations
  24. Thu Apr 2 12:03:38 2026 added 121779 free relations
  25. Thu Apr 2 12:03:38 2026 commencing duplicate removal, pass 2
  26. Thu Apr 2 12:04:08 2026 found 0 duplicates and 205602972 unique relations
  27. Thu Apr 2 12:04:08 2026 memory use: 554.4 MB
  28. Thu Apr 2 12:04:08 2026 reading ideals above 720000
  29. Thu Apr 2 12:04:09 2026 commencing singleton removal, initial pass
  30. Thu Apr 2 12:09:33 2026 memory use: 5512.0 MB
  31. Thu Apr 2 12:09:33 2026 reading all ideals from disk
  32. Thu Apr 2 12:09:34 2026 memory use: 10055.8 MB
  33. Thu Apr 2 12:09:43 2026 keeping 186051952 ideals with weight <= 200, target excess is 1095143
  34. Thu Apr 2 12:09:53 2026 commencing in-memory singleton removal
  35. Thu Apr 2 12:09:56 2026 begin with 205602972 relations and 186051952 unique ideals
  36. Thu Apr 2 12:10:17 2026 reduce to 158204381 relations and 136379516 ideals in 16 passes
  37. Thu Apr 2 12:10:17 2026 max relations containing the same ideal: 178
  38. Thu Apr 2 12:10:45 2026 removing 12938923 relations and 10938923 ideals in 2000000 cliques
  39. Thu Apr 2 12:10:48 2026 commencing in-memory singleton removal
  40. Thu Apr 2 12:10:50 2026 begin with 145265458 relations and 136379516 unique ideals
  41. Thu Apr 2 12:11:00 2026 reduce to 144419840 relations and 124580973 ideals in 9 passes
  42. Thu Apr 2 12:11:00 2026 max relations containing the same ideal: 170
  43. Thu Apr 2 12:11:25 2026 removing 9886271 relations and 7886271 ideals in 2000000 cliques
  44. Thu Apr 2 12:11:28 2026 commencing in-memory singleton removal
  45. Thu Apr 2 12:11:30 2026 begin with 134533569 relations and 124580973 unique ideals
  46. Thu Apr 2 12:11:38 2026 reduce to 133972362 relations and 116125417 ideals in 8 passes
  47. Thu Apr 2 12:11:38 2026 max relations containing the same ideal: 163
  48. Thu Apr 2 12:12:02 2026 removing 8963792 relations and 6963792 ideals in 2000000 cliques
  49. Thu Apr 2 12:12:04 2026 commencing in-memory singleton removal
  50. Thu Apr 2 12:12:06 2026 begin with 125008570 relations and 116125417 unique ideals
  51. Thu Apr 2 12:12:14 2026 reduce to 124504554 relations and 108650448 ideals in 8 passes
  52. Thu Apr 2 12:12:14 2026 max relations containing the same ideal: 154
  53. Thu Apr 2 12:12:36 2026 removing 8499647 relations and 6499647 ideals in 2000000 cliques
  54. Thu Apr 2 12:12:38 2026 commencing in-memory singleton removal
  55. Thu Apr 2 12:12:40 2026 begin with 116004907 relations and 108650448 unique ideals
  56. Thu Apr 2 12:12:47 2026 reduce to 115517890 relations and 101656610 ideals in 8 passes
  57. Thu Apr 2 12:12:47 2026 max relations containing the same ideal: 146
  58. Thu Apr 2 12:13:08 2026 removing 8234747 relations and 6234747 ideals in 2000000 cliques
  59. Thu Apr 2 12:13:10 2026 commencing in-memory singleton removal
  60. Thu Apr 2 12:13:11 2026 begin with 107283143 relations and 101656610 unique ideals
  61. Thu Apr 2 12:13:17 2026 reduce to 106791355 relations and 94922511 ideals in 7 passes
  62. Thu Apr 2 12:13:17 2026 max relations containing the same ideal: 137
  63. Thu Apr 2 12:13:36 2026 removing 8075955 relations and 6075955 ideals in 2000000 cliques
  64. Thu Apr 2 12:13:38 2026 commencing in-memory singleton removal
  65. Thu Apr 2 12:13:40 2026 begin with 98715400 relations and 94922511 unique ideals
  66. Thu Apr 2 12:13:46 2026 reduce to 98205003 relations and 88327811 ideals in 8 passes
  67. Thu Apr 2 12:13:46 2026 max relations containing the same ideal: 131
  68. Thu Apr 2 12:14:04 2026 removing 8000718 relations and 6000718 ideals in 2000000 cliques
  69. Thu Apr 2 12:14:06 2026 commencing in-memory singleton removal
  70. Thu Apr 2 12:14:07 2026 begin with 90204285 relations and 88327811 unique ideals
  71. Thu Apr 2 12:14:12 2026 reduce to 89664012 relations and 81777269 ideals in 8 passes
  72. Thu Apr 2 12:14:12 2026 max relations containing the same ideal: 122
  73. Thu Apr 2 12:14:29 2026 removing 7977044 relations and 5977044 ideals in 2000000 cliques
  74. Thu Apr 2 12:14:31 2026 commencing in-memory singleton removal
  75. Thu Apr 2 12:14:32 2026 begin with 81686968 relations and 81777269 unique ideals
  76. Thu Apr 2 12:14:37 2026 reduce to 81097334 relations and 75199287 ideals in 8 passes
  77. Thu Apr 2 12:14:37 2026 max relations containing the same ideal: 117
  78. Thu Apr 2 12:14:53 2026 removing 8016279 relations and 6016279 ideals in 2000000 cliques
  79. Thu Apr 2 12:14:54 2026 commencing in-memory singleton removal
  80. Thu Apr 2 12:14:55 2026 begin with 73081055 relations and 75199287 unique ideals
  81. Thu Apr 2 12:15:00 2026 reduce to 72420262 relations and 68508045 ideals in 8 passes
  82. Thu Apr 2 12:15:00 2026 max relations containing the same ideal: 108
  83. Thu Apr 2 12:15:14 2026 removing 8099884 relations and 6099884 ideals in 2000000 cliques
  84. Thu Apr 2 12:15:16 2026 commencing in-memory singleton removal
  85. Thu Apr 2 12:15:16 2026 begin with 64320378 relations and 68508045 unique ideals
  86. Thu Apr 2 12:15:20 2026 reduce to 63554762 relations and 61624637 ideals in 9 passes
  87. Thu Apr 2 12:15:20 2026 max relations containing the same ideal: 99
  88. Thu Apr 2 12:15:33 2026 removing 3447738 relations and 2787979 ideals in 659759 cliques
  89. Thu Apr 2 12:15:35 2026 commencing in-memory singleton removal
  90. Thu Apr 2 12:15:35 2026 begin with 60107024 relations and 61624637 unique ideals
  91. Thu Apr 2 12:15:38 2026 reduce to 59966882 relations and 58695229 ideals in 7 passes
  92. Thu Apr 2 12:15:38 2026 max relations containing the same ideal: 93
  93. Thu Apr 2 12:15:55 2026 relations with 0 large ideals: 4043
  94. Thu Apr 2 12:15:55 2026 relations with 1 large ideals: 13299
  95. Thu Apr 2 12:15:55 2026 relations with 2 large ideals: 210186
  96. Thu Apr 2 12:15:55 2026 relations with 3 large ideals: 1434263
  97. Thu Apr 2 12:15:55 2026 relations with 4 large ideals: 5324074
  98. Thu Apr 2 12:15:55 2026 relations with 5 large ideals: 11792365
  99. Thu Apr 2 12:15:55 2026 relations with 6 large ideals: 16353506
  100. Thu Apr 2 12:15:55 2026 relations with 7+ large ideals: 24835146
  101. Thu Apr 2 12:15:55 2026 commencing 2-way merge
  102. Thu Apr 2 12:16:13 2026 reduce to 37434733 relation sets and 36163080 unique ideals
  103. Thu Apr 2 12:16:13 2026 commencing full merge
  104. Thu Apr 2 12:22:24 2026 memory use: 4342.6 MB
  105. Thu Apr 2 12:22:26 2026 found 17455383 cycles, need 17307280
  106. Thu Apr 2 12:22:30 2026 weight of 17307280 cycles is about 1817501361 (105.01/cycle)
  107. Thu Apr 2 12:22:30 2026 distribution of cycle lengths:
  108. Thu Apr 2 12:22:30 2026 1 relations: 1442448
  109. Thu Apr 2 12:22:30 2026 2 relations: 1434293
  110. Thu Apr 2 12:22:30 2026 3 relations: 1483195
  111. Thu Apr 2 12:22:30 2026 4 relations: 1455764
  112. Thu Apr 2 12:22:30 2026 5 relations: 1432053
  113. Thu Apr 2 12:22:30 2026 6 relations: 1343383
  114. Thu Apr 2 12:22:30 2026 7 relations: 1290978
  115. Thu Apr 2 12:22:30 2026 8 relations: 1188780
  116. Thu Apr 2 12:22:30 2026 9 relations: 1076781
  117. Thu Apr 2 12:22:30 2026 10+ relations: 5159605
  118. Thu Apr 2 12:22:30 2026 heaviest cycle: 25 relations
  119. Thu Apr 2 12:22:33 2026 commencing cycle optimization
  120. Thu Apr 2 12:22:52 2026 start with 127034594 relations
  121. Thu Apr 2 12:24:49 2026 pruned 4405364 relations
  122. Thu Apr 2 12:24:50 2026 memory use: 3760.4 MB
  123. Thu Apr 2 12:24:50 2026 distribution of cycle lengths:
  124. Thu Apr 2 12:24:50 2026 1 relations: 1442448
  125. Thu Apr 2 12:24:50 2026 2 relations: 1470966
  126. Thu Apr 2 12:24:50 2026 3 relations: 1542441
  127. Thu Apr 2 12:24:50 2026 4 relations: 1505790
  128. Thu Apr 2 12:24:50 2026 5 relations: 1486983
  129. Thu Apr 2 12:24:50 2026 6 relations: 1391032
  130. Thu Apr 2 12:24:50 2026 7 relations: 1335371
  131. Thu Apr 2 12:24:50 2026 8 relations: 1219858
  132. Thu Apr 2 12:24:50 2026 9 relations: 1102116
  133. Thu Apr 2 12:24:50 2026 10+ relations: 4810275
  134. Thu Apr 2 12:24:50 2026 heaviest cycle: 25 relations
  135. Thu Apr 2 12:25:06 2026 RelProcTime: 1420
  136. Thu Apr 2 12:25:08 2026 elapsed time 00:23:43
  137. Thu Apr 2 12:25:15 2026
  138. Thu Apr 2 12:25:15 2026
  139. Thu Apr 2 12:25:15 2026 Msieve v. 1.54 (SVN 573b9ef)
  140. Thu Apr 2 12:25:15 2026 random seeds: cdb7fdb0 679de01f
  141. Thu Apr 2 12:25:15 2026 MPI process 0 of 2
  142. Thu Apr 2 12:25:15 2026 Using 8 OpenMP threads
  143. Thu Apr 2 12:25:15 2026 factoring 97329408589822154482678946251529733485755933340268885218363384368049244205280216582153614559664300480188430208095549393615179361528959859005426981041944699480615146127493028550005933 (182 digits)
  144. Thu Apr 2 12:25:16 2026 no P-1/P+1/ECM available, skipping
  145. Thu Apr 2 12:25:16 2026 commencing number field sieve (182-digit input)
  146. Thu Apr 2 12:25:16 2026 R0: -180322661540217934236816095499668833
  147. Thu Apr 2 12:25:16 2026 R1: 56375079656555138615639
  148. Thu Apr 2 12:25:16 2026 A0: -1922791098080009493878922765268775717280
  149. Thu Apr 2 12:25:16 2026 A1: -414816580657821162991542058606276
  150. Thu Apr 2 12:25:16 2026 A2: 7866057131537845369044884867
  151. Thu Apr 2 12:25:16 2026 A3: 2709176731760784521151
  152. Thu Apr 2 12:25:16 2026 A4: -2466343980612232
  153. Thu Apr 2 12:25:16 2026 A5: 28588560
  154. Thu Apr 2 12:25:16 2026 skew 1.00, size 9.798e-18, alpha -6.822, combined = 7.704e-16 rroots = 5
  155. Thu Apr 2 12:25:16 2026
  156. Thu Apr 2 12:25:16 2026 commencing linear algebra
  157. Thu Apr 2 12:25:16 2026 using VBITS=256
  158. Thu Apr 2 12:25:16 2026 initialized process (0,0) of 1 x 2 grid
  159. Thu Apr 2 12:25:17 2026 read 17307280 cycles
  160. Thu Apr 2 12:25:35 2026 cycles contain 59161426 unique relations
  161. Thu Apr 2 12:26:04 2026 read 59161426 relations
  162. Thu Apr 2 12:26:15 2026 using 20 quadratic characters above 4294917295
  163. Thu Apr 2 12:26:32 2026 building initial matrix
  164. Thu Apr 2 12:32:33 2026 memory use: 8172.6 MB
  165. Thu Apr 2 12:32:40 2026 read 17307280 cycles
  166. Thu Apr 2 12:32:42 2026 matrix is 17307103 x 17307280 (7313.7 MB) with weight 2244343157 (129.68/col)
  167. Thu Apr 2 12:32:42 2026 sparse part has weight 1726869611 (99.78/col)
  168. Thu Apr 2 12:34:10 2026 filtering completed in 2 passes
  169. Thu Apr 2 12:34:12 2026 matrix is 17304737 x 17304914 (7313.5 MB) with weight 2244240132 (129.69/col)
  170. Thu Apr 2 12:34:12 2026 sparse part has weight 1726840063 (99.79/col)
  171. Thu Apr 2 12:34:35 2026 matrix starts at (0, 0)
  172. Thu Apr 2 12:34:36 2026 matrix is 17304737 x 8652485 (3656.8 MB) with weight 1122114892 (129.69/col)
  173. Thu Apr 2 12:34:36 2026 sparse part has weight 863420151 (99.79/col)
  174. Thu Apr 2 12:34:36 2026 saving the first 240 matrix rows for later
  175. Thu Apr 2 12:34:37 2026 matrix includes 256 packed rows
  176. Thu Apr 2 12:34:40 2026 matrix is 17304497 x 8652485 (3374.9 MB) with weight 790124509 (91.32/col)
  177. Thu Apr 2 12:34:40 2026 sparse part has weight 746273588 (86.25/col)
  178. Thu Apr 2 12:34:40 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  179. Thu Apr 2 12:34:40 2026 selected card has CUDA arch 8.6
  180. Thu Apr 2 12:35:08 2026 commencing Lanczos iteration
  181. Thu Apr 2 12:35:09 2026 memory use: 8697.2 MB
  182. Thu Apr 2 12:35:43 2026 linear algebra at 0.2%, ETA 5h10m
  183. Thu Apr 2 12:36:32 2026 checking every 50000 dimensions, checkpointing every 3400000 dimensions
  184. Thu Apr 2 17:42:50 2026 lanczos halted after 67800 iterations (dim = 17304496)
  185. Thu Apr 2 17:43:46 2026 recovered 30 nontrivial dependencies
  186. Thu Apr 2 17:43:46 2026 BLanczosTime: 19110
  187. Thu Apr 2 17:43:46 2026 elapsed time 05:18:31
  188. Thu Apr 2 18:21:25 2026
  189. Thu Apr 2 18:21:25 2026
  190. Thu Apr 2 18:21:25 2026 Msieve v. 1.54 (SVN 573b9ef)
  191. Thu Apr 2 18:21:25 2026 random seeds: 6a685162 10d6a7bb
  192. Thu Apr 2 18:21:25 2026 Using 32 OpenMP threads
  193. Thu Apr 2 18:21:25 2026 factoring 97329408589822154482678946251529733485755933340268885218363384368049244205280216582153614559664300480188430208095549393615179361528959859005426981041944699480615146127493028550005933 (182 digits)
  194. Thu Apr 2 18:21:25 2026 no P-1/P+1/ECM available, skipping
  195. Thu Apr 2 18:21:25 2026 commencing number field sieve (182-digit input)
  196. Thu Apr 2 18:21:25 2026 R0: -180322661540217934236816095499668833
  197. Thu Apr 2 18:21:25 2026 R1: 56375079656555138615639
  198. Thu Apr 2 18:21:25 2026 A0: -1922791098080009493878922765268775717280
  199. Thu Apr 2 18:21:25 2026 A1: -414816580657821162991542058606276
  200. Thu Apr 2 18:21:25 2026 A2: 7866057131537845369044884867
  201. Thu Apr 2 18:21:25 2026 A3: 2709176731760784521151
  202. Thu Apr 2 18:21:25 2026 A4: -2466343980612232
  203. Thu Apr 2 18:21:25 2026 A5: 28588560
  204. Thu Apr 2 18:21:25 2026 skew 1.00, size 9.798e-18, alpha -6.822, combined = 7.704e-16 rroots = 5
  205. Thu Apr 2 18:21:25 2026
  206. Thu Apr 2 18:21:25 2026 commencing square root phase
  207. Thu Apr 2 18:21:25 2026 reading relations for dependency 1
  208. Thu Apr 2 18:21:26 2026 read 8649640 cycles
  209. Thu Apr 2 18:21:35 2026 cycles contain 29574254 unique relations
  210. Thu Apr 2 18:21:52 2026 read 29574254 relations
  211. Thu Apr 2 18:23:02 2026 multiplying 29574254 relations
  212. Thu Apr 2 18:25:53 2026 multiply complete, coefficients have about 1949.53 million bits
  213. Thu Apr 2 18:25:55 2026 initial square root is modulo 555982517
  214. Thu Apr 2 18:32:37 2026 sqrtTime: 672
  215. Thu Apr 2 18:32:37 2026 p68 factor: 43288539674791287925515831425159022475172032405289474021756066581133
  216. Thu Apr 2 18:32:37 2026 p115 factor: 2248387432817492476154461990608717299602707034891242301527942612667434490214463896053226238512853304541432496765601
  217. Thu Apr 2 18:32:37 2026 elapsed time 00:11:12
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