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Msieve log of 10+3,342

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Apr 27th, 2025
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  1. Sat Apr 26 10:38:59 2025
  2. Sat Apr 26 10:38:59 2025
  3. Sat Apr 26 10:38:59 2025 Msieve v. 1.52 (SVN unknown)
  4. Sat Apr 26 10:38:59 2025 random seeds: 7b303134 80d53f9e
  5. Sat Apr 26 10:38:59 2025 factoring 17318508665473052504502320173183679093634579125039508233700330050949202108582535103055881683331322111199710910433880302624921835815959641993792951203878962123105879297477997471517725401 (185 digits)
  6. Sat Apr 26 10:39:00 2025 no P-1/P+1/ECM available, skipping
  7. Sat Apr 26 10:39:00 2025 commencing number field sieve (185-digit input)
  8. Sat Apr 26 10:39:00 2025 R0: 100000000000000000000000000000000000000
  9. Sat Apr 26 10:39:00 2025 R1: -1350851717672992089
  10. Sat Apr 26 10:39:00 2025 A0: 1
  11. Sat Apr 26 10:39:00 2025 A1: 0
  12. Sat Apr 26 10:39:00 2025 A2: 0
  13. Sat Apr 26 10:39:00 2025 A3: -1
  14. Sat Apr 26 10:39:00 2025 A4: 0
  15. Sat Apr 26 10:39:00 2025 A5: 0
  16. Sat Apr 26 10:39:00 2025 A6: 1
  17. Sat Apr 26 10:39:00 2025 skew 1.00, size 3.154e-011, alpha 1.996, combined = 1.466e-012 rroots = 0
  18. Sat Apr 26 10:39:00 2025
  19. Sat Apr 26 10:39:00 2025 commencing relation filtering
  20. Sat Apr 26 10:39:00 2025 setting target matrix density to 100.0
  21. Sat Apr 26 10:39:00 2025 estimated available RAM is 16289.0 MB
  22. Sat Apr 26 10:39:00 2025 commencing duplicate removal, pass 1
  23. Sat Apr 26 10:40:05 2025 error -9 reading relation 9100284
  24. Sat Apr 26 10:40:34 2025 error -9 reading relation 13487684
  25. Sat Apr 26 10:41:58 2025 error -9 reading relation 27320646
  26. Sat Apr 26 10:53:29 2025 error -15 reading relation 133186496
  27. Sat Apr 26 10:53:31 2025 error -15 reading relation 133421199
  28. Sat Apr 26 10:53:31 2025 skipped 14 relations with b > 2^32
  29. Sat Apr 26 10:53:31 2025 found 23986850 hash collisions in 133424939 relations
  30. Sat Apr 26 10:53:45 2025 added 2438352 free relations
  31. Sat Apr 26 10:53:45 2025 commencing duplicate removal, pass 2
  32. Sat Apr 26 10:59:40 2025 found 21971350 duplicates and 113891941 unique relations
  33. Sat Apr 26 10:59:40 2025 memory use: 660.8 MB
  34. Sat Apr 26 10:59:40 2025 reading ideals above 85000192
  35. Sat Apr 26 10:59:40 2025 commencing singleton removal, initial pass
  36. Sat Apr 26 11:13:21 2025 memory use: 2756.0 MB
  37. Sat Apr 26 11:13:22 2025 reading all ideals from disk
  38. Sat Apr 26 11:13:22 2025 memory use: 1896.2 MB
  39. Sat Apr 26 11:13:26 2025 commencing in-memory singleton removal
  40. Sat Apr 26 11:13:29 2025 begin with 113891941 relations and 83432090 unique ideals
  41. Sat Apr 26 11:14:07 2025 reduce to 83772621 relations and 50896047 ideals in 12 passes
  42. Sat Apr 26 11:14:07 2025 max relations containing the same ideal: 42
  43. Sat Apr 26 11:14:13 2025 reading ideals above 720000
  44. Sat Apr 26 11:14:13 2025 commencing singleton removal, initial pass
  45. Sat Apr 26 11:27:52 2025 memory use: 1506.0 MB
  46. Sat Apr 26 11:27:52 2025 reading all ideals from disk
  47. Sat Apr 26 11:27:54 2025 memory use: 3137.6 MB
  48. Sat Apr 26 11:28:01 2025 keeping 60352068 ideals with weight <= 200, target excess is 430619
  49. Sat Apr 26 11:28:09 2025 commencing in-memory singleton removal
  50. Sat Apr 26 11:28:15 2025 begin with 83772623 relations and 60352068 unique ideals
  51. Sat Apr 26 11:28:41 2025 reduce to 83772430 relations and 60351873 ideals in 4 passes
  52. Sat Apr 26 11:28:41 2025 max relations containing the same ideal: 200
  53. Sat Apr 26 11:29:13 2025 removing 7494342 relations and 5494342 ideals in 2000000 cliques
  54. Sat Apr 26 11:29:15 2025 commencing in-memory singleton removal
  55. Sat Apr 26 11:29:20 2025 begin with 76278088 relations and 60351873 unique ideals
  56. Sat Apr 26 11:29:56 2025 reduce to 75725293 relations and 54288667 ideals in 6 passes
  57. Sat Apr 26 11:29:56 2025 max relations containing the same ideal: 196
  58. Sat Apr 26 11:30:25 2025 removing 6129701 relations and 4129701 ideals in 2000000 cliques
  59. Sat Apr 26 11:30:27 2025 commencing in-memory singleton removal
  60. Sat Apr 26 11:30:32 2025 begin with 69595592 relations and 54288667 unique ideals
  61. Sat Apr 26 11:31:04 2025 reduce to 69214425 relations and 49767617 ideals in 6 passes
  62. Sat Apr 26 11:31:04 2025 max relations containing the same ideal: 186
  63. Sat Apr 26 11:31:31 2025 removing 5719230 relations and 3719230 ideals in 2000000 cliques
  64. Sat Apr 26 11:31:32 2025 commencing in-memory singleton removal
  65. Sat Apr 26 11:31:37 2025 begin with 63495195 relations and 49767617 unique ideals
  66. Sat Apr 26 11:32:07 2025 reduce to 63159635 relations and 45703562 ideals in 6 passes
  67. Sat Apr 26 11:32:07 2025 max relations containing the same ideal: 176
  68. Sat Apr 26 11:32:32 2025 removing 5506463 relations and 3506463 ideals in 2000000 cliques
  69. Sat Apr 26 11:32:33 2025 commencing in-memory singleton removal
  70. Sat Apr 26 11:32:37 2025 begin with 57653172 relations and 45703562 unique ideals
  71. Sat Apr 26 11:33:08 2025 reduce to 57336235 relations and 41870856 ideals in 7 passes
  72. Sat Apr 26 11:33:08 2025 max relations containing the same ideal: 166
  73. Sat Apr 26 11:33:31 2025 removing 5372358 relations and 3372358 ideals in 2000000 cliques
  74. Sat Apr 26 11:33:32 2025 commencing in-memory singleton removal
  75. Sat Apr 26 11:33:36 2025 begin with 51963877 relations and 41870856 unique ideals
  76. Sat Apr 26 11:33:59 2025 reduce to 51649929 relations and 38174861 ideals in 6 passes
  77. Sat Apr 26 11:33:59 2025 max relations containing the same ideal: 154
  78. Sat Apr 26 11:34:20 2025 removing 5281910 relations and 3281910 ideals in 2000000 cliques
  79. Sat Apr 26 11:34:21 2025 commencing in-memory singleton removal
  80. Sat Apr 26 11:34:25 2025 begin with 46368019 relations and 38174861 unique ideals
  81. Sat Apr 26 11:34:45 2025 reduce to 46048003 relations and 34562281 ideals in 6 passes
  82. Sat Apr 26 11:34:45 2025 max relations containing the same ideal: 144
  83. Sat Apr 26 11:35:04 2025 removing 5218391 relations and 3218391 ideals in 2000000 cliques
  84. Sat Apr 26 11:35:05 2025 commencing in-memory singleton removal
  85. Sat Apr 26 11:35:08 2025 begin with 40829612 relations and 34562281 unique ideals
  86. Sat Apr 26 11:35:26 2025 reduce to 40495464 relations and 30997276 ideals in 6 passes
  87. Sat Apr 26 11:35:26 2025 max relations containing the same ideal: 136
  88. Sat Apr 26 11:35:42 2025 removing 5167071 relations and 3167071 ideals in 2000000 cliques
  89. Sat Apr 26 11:35:44 2025 commencing in-memory singleton removal
  90. Sat Apr 26 11:35:46 2025 begin with 35328393 relations and 30997276 unique ideals
  91. Sat Apr 26 11:36:02 2025 reduce to 34970241 relations and 27457163 ideals in 6 passes
  92. Sat Apr 26 11:36:02 2025 max relations containing the same ideal: 118
  93. Sat Apr 26 11:36:16 2025 removing 5128146 relations and 3128146 ideals in 2000000 cliques
  94. Sat Apr 26 11:36:17 2025 commencing in-memory singleton removal
  95. Sat Apr 26 11:36:19 2025 begin with 29842095 relations and 27457163 unique ideals
  96. Sat Apr 26 11:36:34 2025 reduce to 29450211 relations and 23918840 ideals in 7 passes
  97. Sat Apr 26 11:36:34 2025 max relations containing the same ideal: 107
  98. Sat Apr 26 11:36:46 2025 removing 5091695 relations and 3091695 ideals in 2000000 cliques
  99. Sat Apr 26 11:36:47 2025 commencing in-memory singleton removal
  100. Sat Apr 26 11:36:49 2025 begin with 24358516 relations and 23918840 unique ideals
  101. Sat Apr 26 11:37:01 2025 reduce to 23917436 relations and 20362046 ideals in 7 passes
  102. Sat Apr 26 11:37:01 2025 max relations containing the same ideal: 95
  103. Sat Apr 26 11:37:11 2025 removing 5047917 relations and 3047917 ideals in 2000000 cliques
  104. Sat Apr 26 11:37:12 2025 commencing in-memory singleton removal
  105. Sat Apr 26 11:37:13 2025 begin with 18869519 relations and 20362046 unique ideals
  106. Sat Apr 26 11:37:22 2025 reduce to 18343701 relations and 16753248 ideals in 7 passes
  107. Sat Apr 26 11:37:22 2025 max relations containing the same ideal: 79
  108. Sat Apr 26 11:37:30 2025 removing 2972401 relations and 1881467 ideals in 1090934 cliques
  109. Sat Apr 26 11:37:30 2025 commencing in-memory singleton removal
  110. Sat Apr 26 11:37:31 2025 begin with 15371300 relations and 16753248 unique ideals
  111. Sat Apr 26 11:37:39 2025 reduce to 15030240 relations and 14512298 ideals in 7 passes
  112. Sat Apr 26 11:37:39 2025 max relations containing the same ideal: 68
  113. Sat Apr 26 11:37:45 2025 removing 97084 relations and 78661 ideals in 18423 cliques
  114. Sat Apr 26 11:37:45 2025 commencing in-memory singleton removal
  115. Sat Apr 26 11:37:46 2025 begin with 14933156 relations and 14512298 unique ideals
  116. Sat Apr 26 11:37:50 2025 reduce to 14932500 relations and 14432980 ideals in 4 passes
  117. Sat Apr 26 11:37:50 2025 max relations containing the same ideal: 68
  118. Sat Apr 26 11:37:52 2025 relations with 0 large ideals: 32267
  119. Sat Apr 26 11:37:52 2025 relations with 1 large ideals: 9296
  120. Sat Apr 26 11:37:52 2025 relations with 2 large ideals: 88640
  121. Sat Apr 26 11:37:52 2025 relations with 3 large ideals: 536641
  122. Sat Apr 26 11:37:52 2025 relations with 4 large ideals: 1740395
  123. Sat Apr 26 11:37:52 2025 relations with 5 large ideals: 3312705
  124. Sat Apr 26 11:37:52 2025 relations with 6 large ideals: 3920874
  125. Sat Apr 26 11:37:52 2025 relations with 7+ large ideals: 5291682
  126. Sat Apr 26 11:37:52 2025 commencing 2-way merge
  127. Sat Apr 26 11:38:01 2025 reduce to 10700795 relation sets and 10201275 unique ideals
  128. Sat Apr 26 11:38:01 2025 commencing full merge
  129. Sat Apr 26 11:41:57 2025 memory use: 1358.9 MB
  130. Sat Apr 26 11:41:59 2025 found 5067383 cycles, need 5015475
  131. Sat Apr 26 11:41:59 2025 weight of 5015475 cycles is about 501944118 (100.08/cycle)
  132. Sat Apr 26 11:41:59 2025 distribution of cycle lengths:
  133. Sat Apr 26 11:41:59 2025 1 relations: 188438
  134. Sat Apr 26 11:41:59 2025 2 relations: 315059
  135. Sat Apr 26 11:41:59 2025 3 relations: 407369
  136. Sat Apr 26 11:41:59 2025 4 relations: 445293
  137. Sat Apr 26 11:41:59 2025 5 relations: 465687
  138. Sat Apr 26 11:41:59 2025 6 relations: 461308
  139. Sat Apr 26 11:41:59 2025 7 relations: 435074
  140. Sat Apr 26 11:41:59 2025 8 relations: 397420
  141. Sat Apr 26 11:41:59 2025 9 relations: 351874
  142. Sat Apr 26 11:41:59 2025 10+ relations: 1547953
  143. Sat Apr 26 11:41:59 2025 heaviest cycle: 28 relations
  144. Sat Apr 26 11:42:03 2025 commencing cycle optimization
  145. Sat Apr 26 11:42:11 2025 start with 39058676 relations
  146. Sat Apr 26 11:43:45 2025 pruned 1921352 relations
  147. Sat Apr 26 11:43:45 2025 memory use: 1029.1 MB
  148. Sat Apr 26 11:43:45 2025 distribution of cycle lengths:
  149. Sat Apr 26 11:43:45 2025 1 relations: 188438
  150. Sat Apr 26 11:43:45 2025 2 relations: 323383
  151. Sat Apr 26 11:43:45 2025 3 relations: 426352
  152. Sat Apr 26 11:43:45 2025 4 relations: 467342
  153. Sat Apr 26 11:43:45 2025 5 relations: 493613
  154. Sat Apr 26 11:43:45 2025 6 relations: 487723
  155. Sat Apr 26 11:43:45 2025 7 relations: 460793
  156. Sat Apr 26 11:43:45 2025 8 relations: 416064
  157. Sat Apr 26 11:43:45 2025 9 relations: 364431
  158. Sat Apr 26 11:43:45 2025 10+ relations: 1387336
  159. Sat Apr 26 11:43:45 2025 heaviest cycle: 28 relations
  160. Sat Apr 26 11:43:52 2025 RelProcTime: 3892
  161. Sat Apr 26 11:43:52 2025
  162. Sat Apr 26 11:43:52 2025 commencing linear algebra
  163. Sat Apr 26 11:43:53 2025 read 5015475 cycles
  164. Sat Apr 26 11:44:02 2025 cycles contain 14717592 unique relations
  165. Sat Apr 26 11:49:17 2025 read 14717592 relations
  166. Sat Apr 26 11:49:39 2025 using 20 quadratic characters above 1073740934
  167. Sat Apr 26 11:50:36 2025 building initial matrix
  168. Sat Apr 26 11:53:23 2025 memory use: 1824.0 MB
  169. Sat Apr 26 11:53:40 2025 read 5015475 cycles
  170. Sat Apr 26 11:53:42 2025 matrix is 5015296 x 5015475 (2001.0 MB) with weight 573938849 (114.43/col)
  171. Sat Apr 26 11:53:42 2025 sparse part has weight 469385784 (93.59/col)
  172. Sat Apr 26 11:54:30 2025 filtering completed in 2 passes
  173. Sat Apr 26 11:54:31 2025 matrix is 5014996 x 5015175 (2001.0 MB) with weight 573926888 (114.44/col)
  174. Sat Apr 26 11:54:31 2025 sparse part has weight 469380167 (93.59/col)
  175. Sat Apr 26 11:55:04 2025 matrix starts at (0, 0)
  176. Sat Apr 26 11:55:05 2025 matrix is 5014996 x 5015175 (2001.0 MB) with weight 573926888 (114.44/col)
  177. Sat Apr 26 11:55:06 2025 sparse part has weight 469380167 (93.59/col)
  178. Sat Apr 26 11:55:06 2025 saving the first 48 matrix rows for later
  179. Sat Apr 26 11:55:07 2025 matrix includes 64 packed rows
  180. Sat Apr 26 11:55:08 2025 matrix is 5014948 x 5015175 (1908.5 MB) with weight 483822041 (96.47/col)
  181. Sat Apr 26 11:55:08 2025 sparse part has weight 450157481 (89.76/col)
  182. Sat Apr 26 11:55:08 2025 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  183. Sat Apr 26 11:55:29 2025 commencing Lanczos iteration (4 threads)
  184. Sat Apr 26 11:55:29 2025 memory use: 1598.6 MB
  185. Sat Apr 26 11:55:58 2025 linear algebra at 0.0%, ETA 25h39m
  186. Sat Apr 26 11:56:08 2025 checkpointing every 200000 dimensions
  187. Sun Apr 27 13:17:47 2025 lanczos halted after 79314 iterations (dim = 5014944)
  188. Sun Apr 27 13:17:53 2025 recovered 37 nontrivial dependencies
  189. Sun Apr 27 13:17:55 2025 BLanczosTime: 92043
  190. Sun Apr 27 13:17:55 2025
  191. Sun Apr 27 13:17:55 2025 commencing square root phase
  192. Sun Apr 27 13:17:55 2025 handling dependencies 1 to 64
  193. Sun Apr 27 13:17:55 2025 reading relations for dependency 1
  194. Sun Apr 27 13:17:56 2025 read 2506716 cycles
  195. Sun Apr 27 13:18:00 2025 cycles contain 7357968 unique relations
  196. Sun Apr 27 13:23:00 2025 read 7357968 relations
  197. Sun Apr 27 13:23:36 2025 multiplying 7357968 relations
  198. Sun Apr 27 13:28:26 2025 multiply complete, coefficients have about 180.02 million bits
  199. Sun Apr 27 13:28:28 2025 initial square root is modulo 2886683
  200. Sun Apr 27 13:34:36 2025 sqrtTime: 1001
  201. Sun Apr 27 13:34:36 2025 prp89 factor: 44288727842181634942186330349717957742830777261511619817134159407922464388593959193818221
  202. Sun Apr 27 13:34:36 2025 prp96 factor: 391036489627468912077496951326112353171885567329058459353789202781916545296667030086465408359581
  203. Sun Apr 27 13:34:36 2025 elapsed time 26:55:37
  204.  
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