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Jul 26th, 2024
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  1. Thu Jul 25 10:03:58 2024
  2. Thu Jul 25 10:03:58 2024
  3. Thu Jul 25 10:03:58 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Jul 25 10:03:58 2024 random seeds: c048f85e 04fb0c38
  5. Thu Jul 25 10:03:58 2024 factoring 51906682289429972204410287346967221770223519508926344222171625190277409247780966043754454686918489403811311793645795505245140982468528911351274072080296227786447146952201860385801296258040998273553722892217868736356768564965595348731 (233 digits)
  6. Thu Jul 25 10:03:59 2024 no P-1/P+1/ECM available, skipping
  7. Thu Jul 25 10:03:59 2024 commencing number field sieve (233-digit input)
  8. Thu Jul 25 10:03:59 2024 R0: 3685095691017511274846101541567656054843
  9. Thu Jul 25 10:03:59 2024 R1: -1
  10. Thu Jul 25 10:03:59 2024 A0: -1
  11. Thu Jul 25 10:03:59 2024 A1: 0
  12. Thu Jul 25 10:03:59 2024 A2: 0
  13. Thu Jul 25 10:03:59 2024 A3: 0
  14. Thu Jul 25 10:03:59 2024 A4: 0
  15. Thu Jul 25 10:03:59 2024 A5: 0
  16. Thu Jul 25 10:03:59 2024 A6: 449107
  17. Thu Jul 25 10:03:59 2024 skew 0.15, size 2.506e-12, alpha -0.023, combined = 2.391e-13 rroots = 2
  18. Thu Jul 25 10:03:59 2024
  19. Thu Jul 25 10:03:59 2024 commencing relation filtering
  20. Thu Jul 25 10:03:59 2024 setting target matrix density to 100.0
  21. Thu Jul 25 10:03:59 2024 estimated available RAM is 15960.0 MB
  22. Thu Jul 25 10:03:59 2024 commencing duplicate removal, pass 1
  23. Thu Jul 25 10:17:02 2024 error -11 reading relation 149016873
  24. Thu Jul 25 10:26:11 2024 skipped 2301 relations with b > 2^32
  25. Thu Jul 25 10:26:11 2024 skipped 4 relations with composite factors
  26. Thu Jul 25 10:26:11 2024 found 13779799 hash collisions in 252790171 relations
  27. Thu Jul 25 10:26:22 2024 commencing duplicate removal, pass 2
  28. Thu Jul 25 10:27:44 2024 found 1 duplicates and 252790170 unique relations
  29. Thu Jul 25 10:27:44 2024 memory use: 788.8 MB
  30. Thu Jul 25 10:27:44 2024 reading ideals above 199819264
  31. Thu Jul 25 10:27:44 2024 commencing singleton removal, initial pass
  32. Thu Jul 25 10:42:44 2024 memory use: 6024.0 MB
  33. Thu Jul 25 10:42:44 2024 reading all ideals from disk
  34. Thu Jul 25 10:42:54 2024 memory use: 4360.4 MB
  35. Thu Jul 25 10:43:02 2024 commencing in-memory singleton removal
  36. Thu Jul 25 10:43:10 2024 begin with 252790170 relations and 220327387 unique ideals
  37. Thu Jul 25 10:44:48 2024 reduce to 147316952 relations and 102411966 ideals in 17 passes
  38. Thu Jul 25 10:44:48 2024 max relations containing the same ideal: 39
  39. Thu Jul 25 10:44:55 2024 reading ideals above 720000
  40. Thu Jul 25 10:44:55 2024 commencing singleton removal, initial pass
  41. Thu Jul 25 10:58:17 2024 memory use: 3012.0 MB
  42. Thu Jul 25 10:58:17 2024 reading all ideals from disk
  43. Thu Jul 25 10:58:34 2024 memory use: 5851.1 MB
  44. Thu Jul 25 10:58:48 2024 keeping 123817183 ideals with weight <= 200, target excess is 734935
  45. Thu Jul 25 10:59:05 2024 commencing in-memory singleton removal
  46. Thu Jul 25 10:59:16 2024 begin with 147316952 relations and 123817183 unique ideals
  47. Thu Jul 25 11:01:08 2024 reduce to 147300146 relations and 123800376 ideals in 10 passes
  48. Thu Jul 25 11:01:08 2024 max relations containing the same ideal: 200
  49. Thu Jul 25 11:02:11 2024 removing 13122703 relations and 11122703 ideals in 2000000 cliques
  50. Thu Jul 25 11:02:15 2024 commencing in-memory singleton removal
  51. Thu Jul 25 11:02:26 2024 begin with 134177443 relations and 123800376 unique ideals
  52. Thu Jul 25 11:03:56 2024 reduce to 133222216 relations and 111704612 ideals in 9 passes
  53. Thu Jul 25 11:03:56 2024 max relations containing the same ideal: 196
  54. Thu Jul 25 11:04:53 2024 removing 9866255 relations and 7866255 ideals in 2000000 cliques
  55. Thu Jul 25 11:04:57 2024 commencing in-memory singleton removal
  56. Thu Jul 25 11:05:07 2024 begin with 123355961 relations and 111704612 unique ideals
  57. Thu Jul 25 11:06:30 2024 reduce to 122746125 relations and 103218660 ideals in 9 passes
  58. Thu Jul 25 11:06:30 2024 max relations containing the same ideal: 188
  59. Thu Jul 25 11:07:23 2024 removing 8853678 relations and 6853678 ideals in 2000000 cliques
  60. Thu Jul 25 11:07:27 2024 commencing in-memory singleton removal
  61. Thu Jul 25 11:07:35 2024 begin with 113892447 relations and 103218660 unique ideals
  62. Thu Jul 25 11:08:42 2024 reduce to 113363028 relations and 95827041 ideals in 8 passes
  63. Thu Jul 25 11:08:42 2024 max relations containing the same ideal: 179
  64. Thu Jul 25 11:09:30 2024 removing 8325293 relations and 6325293 ideals in 2000000 cliques
  65. Thu Jul 25 11:09:34 2024 commencing in-memory singleton removal
  66. Thu Jul 25 11:09:42 2024 begin with 105037735 relations and 95827041 unique ideals
  67. Thu Jul 25 11:10:43 2024 reduce to 104539881 relations and 88995641 ideals in 8 passes
  68. Thu Jul 25 11:10:43 2024 max relations containing the same ideal: 172
  69. Thu Jul 25 11:11:29 2024 removing 7988736 relations and 5988736 ideals in 2000000 cliques
  70. Thu Jul 25 11:11:33 2024 commencing in-memory singleton removal
  71. Thu Jul 25 11:11:40 2024 begin with 96551145 relations and 88995641 unique ideals
  72. Thu Jul 25 11:12:36 2024 reduce to 96066737 relations and 82514086 ideals in 8 passes
  73. Thu Jul 25 11:12:36 2024 max relations containing the same ideal: 164
  74. Thu Jul 25 11:13:17 2024 removing 7761022 relations and 5761022 ideals in 2000000 cliques
  75. Thu Jul 25 11:13:21 2024 commencing in-memory singleton removal
  76. Thu Jul 25 11:13:27 2024 begin with 88305715 relations and 82514086 unique ideals
  77. Thu Jul 25 11:14:12 2024 reduce to 87818967 relations and 76257038 ideals in 7 passes
  78. Thu Jul 25 11:14:12 2024 max relations containing the same ideal: 156
  79. Thu Jul 25 11:14:50 2024 removing 7596410 relations and 5596410 ideals in 2000000 cliques
  80. Thu Jul 25 11:14:52 2024 commencing in-memory singleton removal
  81. Thu Jul 25 11:14:58 2024 begin with 80222557 relations and 76257038 unique ideals
  82. Thu Jul 25 11:15:38 2024 reduce to 79726906 relations and 70154839 ideals in 7 passes
  83. Thu Jul 25 11:15:38 2024 max relations containing the same ideal: 148
  84. Thu Jul 25 11:16:13 2024 removing 7473423 relations and 5473423 ideals in 2000000 cliques
  85. Thu Jul 25 11:16:15 2024 commencing in-memory singleton removal
  86. Thu Jul 25 11:16:21 2024 begin with 72253483 relations and 70154839 unique ideals
  87. Thu Jul 25 11:17:01 2024 reduce to 71736411 relations and 64152862 ideals in 8 passes
  88. Thu Jul 25 11:17:01 2024 max relations containing the same ideal: 134
  89. Thu Jul 25 11:17:32 2024 removing 7383860 relations and 5383860 ideals in 2000000 cliques
  90. Thu Jul 25 11:17:35 2024 commencing in-memory singleton removal
  91. Thu Jul 25 11:17:40 2024 begin with 64352551 relations and 64152862 unique ideals
  92. Thu Jul 25 11:18:11 2024 reduce to 63802150 relations and 58205364 ideals in 7 passes
  93. Thu Jul 25 11:18:11 2024 max relations containing the same ideal: 124
  94. Thu Jul 25 11:18:39 2024 removing 7318676 relations and 5318676 ideals in 2000000 cliques
  95. Thu Jul 25 11:18:41 2024 commencing in-memory singleton removal
  96. Thu Jul 25 11:18:45 2024 begin with 56483474 relations and 58205364 unique ideals
  97. Thu Jul 25 11:19:16 2024 reduce to 55883438 relations and 52270324 ideals in 8 passes
  98. Thu Jul 25 11:19:16 2024 max relations containing the same ideal: 114
  99. Thu Jul 25 11:19:40 2024 removing 7269588 relations and 5269588 ideals in 2000000 cliques
  100. Thu Jul 25 11:19:42 2024 commencing in-memory singleton removal
  101. Thu Jul 25 11:19:46 2024 begin with 48613850 relations and 52270324 unique ideals
  102. Thu Jul 25 11:20:12 2024 reduce to 47935839 relations and 46302093 ideals in 8 passes
  103. Thu Jul 25 11:20:12 2024 max relations containing the same ideal: 103
  104. Thu Jul 25 11:20:33 2024 removing 3440081 relations and 2658860 ideals in 781221 cliques
  105. Thu Jul 25 11:20:34 2024 commencing in-memory singleton removal
  106. Thu Jul 25 11:20:37 2024 begin with 44495758 relations and 46302093 unique ideals
  107. Thu Jul 25 11:20:58 2024 reduce to 44328892 relations and 43473974 ideals in 7 passes
  108. Thu Jul 25 11:20:58 2024 max relations containing the same ideal: 97
  109. Thu Jul 25 11:21:23 2024 relations with 0 large ideals: 25896
  110. Thu Jul 25 11:21:23 2024 relations with 1 large ideals: 13752
  111. Thu Jul 25 11:21:23 2024 relations with 2 large ideals: 139516
  112. Thu Jul 25 11:21:23 2024 relations with 3 large ideals: 969679
  113. Thu Jul 25 11:21:23 2024 relations with 4 large ideals: 3671079
  114. Thu Jul 25 11:21:23 2024 relations with 5 large ideals: 8310125
  115. Thu Jul 25 11:21:23 2024 relations with 6 large ideals: 11727371
  116. Thu Jul 25 11:21:23 2024 relations with 7+ large ideals: 19471474
  117. Thu Jul 25 11:21:23 2024 commencing 2-way merge
  118. Thu Jul 25 11:21:50 2024 reduce to 28734081 relation sets and 27879163 unique ideals
  119. Thu Jul 25 11:21:50 2024 commencing full merge
  120. Thu Jul 25 11:30:05 2024 memory use: 3612.1 MB
  121. Thu Jul 25 11:30:07 2024 found 13734320 cycles, need 13639363
  122. Thu Jul 25 11:30:12 2024 weight of 13639363 cycles is about 1364249277 (100.02/cycle)
  123. Thu Jul 25 11:30:12 2024 distribution of cycle lengths:
  124. Thu Jul 25 11:30:12 2024 1 relations: 833942
  125. Thu Jul 25 11:30:12 2024 2 relations: 1076841
  126. Thu Jul 25 11:30:12 2024 3 relations: 1186922
  127. Thu Jul 25 11:30:12 2024 4 relations: 1186084
  128. Thu Jul 25 11:30:12 2024 5 relations: 1163823
  129. Thu Jul 25 11:30:12 2024 6 relations: 1115583
  130. Thu Jul 25 11:30:12 2024 7 relations: 1055074
  131. Thu Jul 25 11:30:12 2024 8 relations: 977835
  132. Thu Jul 25 11:30:12 2024 9 relations: 883197
  133. Thu Jul 25 11:30:12 2024 10+ relations: 4160062
  134. Thu Jul 25 11:30:12 2024 heaviest cycle: 27 relations
  135. Thu Jul 25 11:30:16 2024 commencing cycle optimization
  136. Thu Jul 25 11:30:35 2024 start with 102630864 relations
  137. Thu Jul 25 11:33:27 2024 pruned 3848487 relations
  138. Thu Jul 25 11:33:27 2024 memory use: 2901.3 MB
  139. Thu Jul 25 11:33:27 2024 distribution of cycle lengths:
  140. Thu Jul 25 11:33:27 2024 1 relations: 833942
  141. Thu Jul 25 11:33:27 2024 2 relations: 1102680
  142. Thu Jul 25 11:33:27 2024 3 relations: 1235844
  143. Thu Jul 25 11:33:27 2024 4 relations: 1229123
  144. Thu Jul 25 11:33:27 2024 5 relations: 1213821
  145. Thu Jul 25 11:33:27 2024 6 relations: 1156900
  146. Thu Jul 25 11:33:27 2024 7 relations: 1096578
  147. Thu Jul 25 11:33:27 2024 8 relations: 1007722
  148. Thu Jul 25 11:33:27 2024 9 relations: 907182
  149. Thu Jul 25 11:33:27 2024 10+ relations: 3855571
  150. Thu Jul 25 11:33:27 2024 heaviest cycle: 27 relations
  151. Thu Jul 25 11:33:51 2024 RelProcTime: 5392
  152. Thu Jul 25 11:33:51 2024 elapsed time 01:29:53
  153. Thu Jul 25 11:51:00 2024
  154. Thu Jul 25 11:51:00 2024
  155. Thu Jul 25 11:51:00 2024 Msieve v. 1.54 (SVN Unversioned directory)
  156. Thu Jul 25 11:51:00 2024 random seeds: 669816e8 c239c295
  157. Thu Jul 25 11:51:00 2024 factoring 51906682289429972204410287346967221770223519508926344222171625190277409247780966043754454686918489403811311793645795505245140982468528911351274072080296227786447146952201860385801296258040998273553722892217868736356768564965595348731 (233 digits)
  158. Thu Jul 25 11:51:01 2024 no P-1/P+1/ECM available, skipping
  159. Thu Jul 25 11:51:01 2024 commencing number field sieve (233-digit input)
  160. Thu Jul 25 11:51:01 2024 R0: 3685095691017511274846101541567656054843
  161. Thu Jul 25 11:51:01 2024 R1: -1
  162. Thu Jul 25 11:51:01 2024 A0: -1
  163. Thu Jul 25 11:51:01 2024 A1: 0
  164. Thu Jul 25 11:51:01 2024 A2: 0
  165. Thu Jul 25 11:51:01 2024 A3: 0
  166. Thu Jul 25 11:51:01 2024 A4: 0
  167. Thu Jul 25 11:51:01 2024 A5: 0
  168. Thu Jul 25 11:51:01 2024 A6: 449107
  169. Thu Jul 25 11:51:01 2024 skew 0.15, size 2.506e-12, alpha -0.023, combined = 2.391e-13 rroots = 2
  170. Thu Jul 25 11:51:01 2024
  171. Thu Jul 25 11:51:01 2024 commencing linear algebra
  172. Thu Jul 25 11:51:01 2024 using VBITS=128
  173. Thu Jul 25 11:51:02 2024 read 13639363 cycles
  174. Thu Jul 25 11:51:23 2024 cycles contain 43830834 unique relations
  175. Thu Jul 25 11:53:41 2024 read 43830834 relations
  176. Thu Jul 25 11:54:45 2024 using 20 quadratic characters above 4294917295
  177. Thu Jul 25 11:57:36 2024 building initial matrix
  178. Thu Jul 25 12:05:00 2024 memory use: 5733.9 MB
  179. Thu Jul 25 12:05:05 2024 read 13639363 cycles
  180. Thu Jul 25 12:05:06 2024 matrix is 13639184 x 13639363 (5498.0 MB) with weight 1620541197 (118.81/col)
  181. Thu Jul 25 12:05:06 2024 sparse part has weight 1291244521 (94.67/col)
  182. Thu Jul 25 12:07:21 2024 filtering completed in 2 passes
  183. Thu Jul 25 12:07:23 2024 matrix is 13638323 x 13638500 (5498.0 MB) with weight 1620510963 (118.82/col)
  184. Thu Jul 25 12:07:23 2024 sparse part has weight 1291235485 (94.68/col)
  185. Thu Jul 25 12:08:00 2024 matrix starts at (0, 0)
  186. Thu Jul 25 12:08:01 2024 matrix is 13638323 x 13638500 (5498.0 MB) with weight 1620510963 (118.82/col)
  187. Thu Jul 25 12:08:01 2024 sparse part has weight 1291235485 (94.68/col)
  188. Thu Jul 25 12:08:01 2024 saving the first 112 matrix rows for later
  189. Thu Jul 25 12:08:03 2024 matrix includes 128 packed rows
  190. Thu Jul 25 12:08:07 2024 matrix is 13638211 x 13638500 (5114.7 MB) with weight 1248527533 (91.54/col)
  191. Thu Jul 25 12:08:07 2024 sparse part has weight 1177134896 (86.31/col)
  192. Thu Jul 25 12:08:07 2024 using GPU 0 (NVIDIA GeForce RTX 3060)
  193. Thu Jul 25 12:08:07 2024 selected card has CUDA arch 8.6
  194. Thu Jul 25 12:09:50 2024 commencing Lanczos iteration
  195. Thu Jul 25 12:09:50 2024 memory use: 11270.0 MB
  196. Thu Jul 25 12:10:25 2024 checkpointing every 420000 dimensions
  197. Thu Jul 25 12:10:43 2024 linear algebra at 0.1%, ETA 25h46m
  198. Fri Jul 26 06:42:39 2024 lanczos halted after 107190 iterations (dim = 13638210)
  199. Fri Jul 26 06:42:59 2024 recovered 35 nontrivial dependencies
  200. Fri Jul 26 06:43:00 2024 BLanczosTime: 67919
  201. Fri Jul 26 06:43:00 2024
  202. Fri Jul 26 06:43:00 2024 commencing square root phase
  203. Fri Jul 26 06:43:00 2024 handling dependencies 1 to 64
  204. Fri Jul 26 06:43:00 2024 reading relations for dependency 1
  205. Fri Jul 26 06:43:02 2024 read 6820341 cycles
  206. Fri Jul 26 06:43:12 2024 cycles contain 21916340 unique relations
  207. Fri Jul 26 06:44:44 2024 read 21916340 relations
  208. Fri Jul 26 06:46:12 2024 multiplying 21916340 relations
  209. Fri Jul 26 07:08:10 2024 multiply complete, coefficients have about 927.05 million bits
  210. Fri Jul 26 07:08:12 2024 initial square root is modulo 207518263
  211. Fri Jul 26 07:32:03 2024 sqrtTime: 2943
  212. Fri Jul 26 07:32:03 2024 p97 factor: 1356070332704279383701952609386346483093974076281909947654569941022111430677778512608206770570381
  213. Fri Jul 26 07:32:03 2024 p137 factor: 38277278867916471631448021701348732051628408218760489720473706641281094568458882795818110200025099397067483441067140474091627578618045351
  214. Fri Jul 26 07:32:03 2024 elapsed time 19:41:03
  215.  
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