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Jun 22nd, 2023
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  1. Thu Jun 22 13:29:03 2023
  2. Thu Jun 22 13:29:03 2023
  3. Thu Jun 22 13:29:03 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Jun 22 13:29:03 2023 random seeds: 867531bc 66a66dfc
  5. Thu Jun 22 13:29:03 2023 factoring 1887129440563330211610194498098292989650306863736022510558977299220433723894649531431146541642707057383472565458843671040270253290861636903683163213517896060618805995157958252331524649022372369 (193 digits)
  6. Thu Jun 22 13:29:04 2023 no P-1/P+1/ECM available, skipping
  7. Thu Jun 22 13:29:04 2023 commencing number field sieve (193-digit input)
  8. Thu Jun 22 13:29:04 2023 R0: 12245527302066334423806864870650902612082
  9. Thu Jun 22 13:29:04 2023 R1: -110659510671547497241
  10. Thu Jun 22 13:29:04 2023 A0: -1
  11. Thu Jun 22 13:29:04 2023 A1: 3
  12. Thu Jun 22 13:29:04 2023 A2: 6
  13. Thu Jun 22 13:29:04 2023 A3: -4
  14. Thu Jun 22 13:29:04 2023 A4: -5
  15. Thu Jun 22 13:29:04 2023 A5: 1
  16. Thu Jun 22 13:29:04 2023 A6: 1
  17. Thu Jun 22 13:29:04 2023 skew 1.00, size 7.926e-12, alpha 3.126, combined = 5.258e-13 rroots = 6
  18. Thu Jun 22 13:29:04 2023
  19. Thu Jun 22 13:29:04 2023 commencing relation filtering
  20. Thu Jun 22 13:29:04 2023 setting target matrix density to 110.0
  21. Thu Jun 22 13:29:04 2023 estimated available RAM is 15960.0 MB
  22. Thu Jun 22 13:29:04 2023 commencing duplicate removal, pass 1
  23. Thu Jun 22 13:48:26 2023 error -15 reading relation 120670676
  24. Thu Jun 22 13:53:17 2023 skipped 27 relations with b > 2^32
  25. Thu Jun 22 13:53:17 2023 skipped 5 relations with composite factors
  26. Thu Jun 22 13:53:17 2023 found 9229807 hash collisions in 147273991 relations
  27. Thu Jun 22 13:53:17 2023 commencing duplicate removal, pass 2
  28. Thu Jun 22 13:54:20 2023 found 0 duplicates and 147273991 unique relations
  29. Thu Jun 22 13:54:20 2023 memory use: 394.4 MB
  30. Thu Jun 22 13:54:20 2023 reading ideals above 119865344
  31. Thu Jun 22 13:54:20 2023 commencing singleton removal, initial pass
  32. Thu Jun 22 14:13:04 2023 memory use: 3012.0 MB
  33. Thu Jun 22 14:13:04 2023 reading all ideals from disk
  34. Thu Jun 22 14:13:11 2023 memory use: 2556.6 MB
  35. Thu Jun 22 14:13:20 2023 commencing in-memory singleton removal
  36. Thu Jun 22 14:13:28 2023 begin with 147273991 relations and 117885618 unique ideals
  37. Thu Jun 22 14:14:56 2023 reduce to 99902173 relations and 66213001 ideals in 13 passes
  38. Thu Jun 22 14:14:56 2023 max relations containing the same ideal: 38
  39. Thu Jun 22 14:15:04 2023 reading ideals above 720000
  40. Thu Jun 22 14:15:04 2023 commencing singleton removal, initial pass
  41. Thu Jun 22 14:32:15 2023 memory use: 1506.0 MB
  42. Thu Jun 22 14:32:15 2023 reading all ideals from disk
  43. Thu Jun 22 14:32:26 2023 memory use: 3874.2 MB
  44. Thu Jun 22 14:32:41 2023 keeping 79385400 ideals with weight <= 200, target excess is 496173
  45. Thu Jun 22 14:32:59 2023 commencing in-memory singleton removal
  46. Thu Jun 22 14:33:13 2023 begin with 99902173 relations and 79385400 unique ideals
  47. Thu Jun 22 14:33:49 2023 reduce to 99902094 relations and 79385321 ideals in 3 passes
  48. Thu Jun 22 14:33:49 2023 max relations containing the same ideal: 200
  49. Thu Jun 22 14:35:03 2023 removing 9149072 relations and 7149072 ideals in 2000000 cliques
  50. Thu Jun 22 14:35:09 2023 commencing in-memory singleton removal
  51. Thu Jun 22 14:35:21 2023 begin with 90753022 relations and 79385321 unique ideals
  52. Thu Jun 22 14:36:47 2023 reduce to 90081152 relations and 71547425 ideals in 8 passes
  53. Thu Jun 22 14:36:47 2023 max relations containing the same ideal: 196
  54. Thu Jun 22 14:37:53 2023 removing 7196615 relations and 5196615 ideals in 2000000 cliques
  55. Thu Jun 22 14:37:57 2023 commencing in-memory singleton removal
  56. Thu Jun 22 14:38:08 2023 begin with 82884537 relations and 71547425 unique ideals
  57. Thu Jun 22 14:39:27 2023 reduce to 82415897 relations and 65871586 ideals in 8 passes
  58. Thu Jun 22 14:39:27 2023 max relations containing the same ideal: 185
  59. Thu Jun 22 14:40:28 2023 removing 6664904 relations and 4664904 ideals in 2000000 cliques
  60. Thu Jun 22 14:40:32 2023 commencing in-memory singleton removal
  61. Thu Jun 22 14:40:41 2023 begin with 75750993 relations and 65871586 unique ideals
  62. Thu Jun 22 14:41:40 2023 reduce to 75325729 relations and 60771600 ideals in 7 passes
  63. Thu Jun 22 14:41:40 2023 max relations containing the same ideal: 177
  64. Thu Jun 22 14:42:33 2023 removing 6407993 relations and 4407993 ideals in 2000000 cliques
  65. Thu Jun 22 14:42:37 2023 commencing in-memory singleton removal
  66. Thu Jun 22 14:42:45 2023 begin with 68917736 relations and 60771600 unique ideals
  67. Thu Jun 22 14:43:42 2023 reduce to 68501296 relations and 55937135 ideals in 8 passes
  68. Thu Jun 22 14:43:42 2023 max relations containing the same ideal: 167
  69. Thu Jun 22 14:44:28 2023 removing 6253730 relations and 4253730 ideals in 2000000 cliques
  70. Thu Jun 22 14:44:31 2023 commencing in-memory singleton removal
  71. Thu Jun 22 14:44:38 2023 begin with 62247566 relations and 55937135 unique ideals
  72. Thu Jun 22 14:45:23 2023 reduce to 61821998 relations and 51246884 ideals in 7 passes
  73. Thu Jun 22 14:45:23 2023 max relations containing the same ideal: 155
  74. Thu Jun 22 14:46:03 2023 removing 6169519 relations and 4169519 ideals in 2000000 cliques
  75. Thu Jun 22 14:46:06 2023 commencing in-memory singleton removal
  76. Thu Jun 22 14:46:12 2023 begin with 55652479 relations and 51246884 unique ideals
  77. Thu Jun 22 14:46:50 2023 reduce to 55203402 relations and 46615434 ideals in 7 passes
  78. Thu Jun 22 14:46:50 2023 max relations containing the same ideal: 146
  79. Thu Jun 22 14:47:27 2023 removing 6123223 relations and 4123223 ideals in 2000000 cliques
  80. Thu Jun 22 14:47:30 2023 commencing in-memory singleton removal
  81. Thu Jun 22 14:47:36 2023 begin with 49080179 relations and 46615434 unique ideals
  82. Thu Jun 22 14:48:16 2023 reduce to 48596486 relations and 41993032 ideals in 8 passes
  83. Thu Jun 22 14:48:16 2023 max relations containing the same ideal: 131
  84. Thu Jun 22 14:48:49 2023 removing 6105540 relations and 4105540 ideals in 2000000 cliques
  85. Thu Jun 22 14:48:52 2023 commencing in-memory singleton removal
  86. Thu Jun 22 14:48:58 2023 begin with 42490946 relations and 41993032 unique ideals
  87. Thu Jun 22 14:49:27 2023 reduce to 41951276 relations and 37328445 ideals in 7 passes
  88. Thu Jun 22 14:49:27 2023 max relations containing the same ideal: 119
  89. Thu Jun 22 14:49:55 2023 removing 6116399 relations and 4116399 ideals in 2000000 cliques
  90. Thu Jun 22 14:49:58 2023 commencing in-memory singleton removal
  91. Thu Jun 22 14:50:02 2023 begin with 35834877 relations and 37328445 unique ideals
  92. Thu Jun 22 14:50:27 2023 reduce to 35209413 relations and 32560511 ideals in 8 passes
  93. Thu Jun 22 14:50:27 2023 max relations containing the same ideal: 106
  94. Thu Jun 22 14:50:46 2023 removing 6148502 relations and 4148502 ideals in 2000000 cliques
  95. Thu Jun 22 14:50:50 2023 commencing in-memory singleton removal
  96. Thu Jun 22 14:50:52 2023 begin with 29060911 relations and 32560511 unique ideals
  97. Thu Jun 22 14:51:10 2023 reduce to 28291001 relations and 27603896 ideals in 7 passes
  98. Thu Jun 22 14:51:10 2023 max relations containing the same ideal: 92
  99. Thu Jun 22 14:51:27 2023 removing 600944 relations and 489400 ideals in 111544 cliques
  100. Thu Jun 22 14:51:28 2023 commencing in-memory singleton removal
  101. Thu Jun 22 14:51:31 2023 begin with 27690057 relations and 27603896 unique ideals
  102. Thu Jun 22 14:51:44 2023 reduce to 27679571 relations and 27103972 ideals in 5 passes
  103. Thu Jun 22 14:51:44 2023 max relations containing the same ideal: 91
  104. Thu Jun 22 14:51:51 2023 relations with 0 large ideals: 38001
  105. Thu Jun 22 14:51:51 2023 relations with 1 large ideals: 6464
  106. Thu Jun 22 14:51:51 2023 relations with 2 large ideals: 76963
  107. Thu Jun 22 14:51:51 2023 relations with 3 large ideals: 541506
  108. Thu Jun 22 14:51:51 2023 relations with 4 large ideals: 2099164
  109. Thu Jun 22 14:51:51 2023 relations with 5 large ideals: 4875152
  110. Thu Jun 22 14:51:51 2023 relations with 6 large ideals: 7095779
  111. Thu Jun 22 14:51:51 2023 relations with 7+ large ideals: 12946542
  112. Thu Jun 22 14:51:51 2023 commencing 2-way merge
  113. Thu Jun 22 14:52:19 2023 reduce to 18646775 relation sets and 18071176 unique ideals
  114. Thu Jun 22 14:52:19 2023 commencing full merge
  115. Thu Jun 22 15:01:55 2023 memory use: 2494.9 MB
  116. Thu Jun 22 15:01:58 2023 found 8588357 cycles, need 8567376
  117. Thu Jun 22 15:02:02 2023 weight of 8567376 cycles is about 943017640 (110.07/cycle)
  118. Thu Jun 22 15:02:02 2023 distribution of cycle lengths:
  119. Thu Jun 22 15:02:02 2023 1 relations: 435282
  120. Thu Jun 22 15:02:02 2023 2 relations: 565408
  121. Thu Jun 22 15:02:02 2023 3 relations: 643722
  122. Thu Jun 22 15:02:02 2023 4 relations: 657868
  123. Thu Jun 22 15:02:02 2023 5 relations: 666788
  124. Thu Jun 22 15:02:02 2023 6 relations: 654314
  125. Thu Jun 22 15:02:02 2023 7 relations: 630694
  126. Thu Jun 22 15:02:02 2023 8 relations: 593739
  127. Thu Jun 22 15:02:02 2023 9 relations: 549005
  128. Thu Jun 22 15:02:02 2023 10+ relations: 3170556
  129. Thu Jun 22 15:02:02 2023 heaviest cycle: 28 relations
  130. Thu Jun 22 15:02:05 2023 commencing cycle optimization
  131. Thu Jun 22 15:02:26 2023 start with 72960304 relations
  132. Thu Jun 22 15:06:02 2023 pruned 3400381 relations
  133. Thu Jun 22 15:06:02 2023 memory use: 1904.8 MB
  134. Thu Jun 22 15:06:02 2023 distribution of cycle lengths:
  135. Thu Jun 22 15:06:02 2023 1 relations: 435282
  136. Thu Jun 22 15:06:02 2023 2 relations: 577980
  137. Thu Jun 22 15:06:02 2023 3 relations: 670032
  138. Thu Jun 22 15:06:02 2023 4 relations: 684923
  139. Thu Jun 22 15:06:02 2023 5 relations: 700153
  140. Thu Jun 22 15:06:02 2023 6 relations: 686618
  141. Thu Jun 22 15:06:02 2023 7 relations: 664603
  142. Thu Jun 22 15:06:02 2023 8 relations: 621316
  143. Thu Jun 22 15:06:02 2023 9 relations: 572970
  144. Thu Jun 22 15:06:02 2023 10+ relations: 2953499
  145. Thu Jun 22 15:06:02 2023 heaviest cycle: 28 relations
  146. Thu Jun 22 15:06:30 2023 RelProcTime: 5846
  147. Thu Jun 22 15:06:30 2023 elapsed time 01:37:27
  148. Thu Jun 22 15:20:04 2023
  149. Thu Jun 22 15:20:04 2023
  150. Thu Jun 22 15:20:04 2023 Msieve v. 1.54 (SVN Unversioned directory)
  151. Thu Jun 22 15:20:04 2023 random seeds: 24eaf225 4fafa603
  152. Thu Jun 22 15:20:04 2023 factoring 1887129440563330211610194498098292989650306863736022510558977299220433723894649531431146541642707057383472565458843671040270253290861636903683163213517896060618805995157958252331524649022372369 (193 digits)
  153. Thu Jun 22 15:20:05 2023 no P-1/P+1/ECM available, skipping
  154. Thu Jun 22 15:20:05 2023 commencing number field sieve (193-digit input)
  155. Thu Jun 22 15:20:05 2023 R0: 12245527302066334423806864870650902612082
  156. Thu Jun 22 15:20:05 2023 R1: -110659510671547497241
  157. Thu Jun 22 15:20:05 2023 A0: -1
  158. Thu Jun 22 15:20:05 2023 A1: 3
  159. Thu Jun 22 15:20:05 2023 A2: 6
  160. Thu Jun 22 15:20:05 2023 A3: -4
  161. Thu Jun 22 15:20:05 2023 A4: -5
  162. Thu Jun 22 15:20:05 2023 A5: 1
  163. Thu Jun 22 15:20:05 2023 A6: 1
  164. Thu Jun 22 15:20:05 2023 skew 1.00, size 7.926e-12, alpha 3.126, combined = 5.258e-13 rroots = 6
  165. Thu Jun 22 15:20:05 2023
  166. Thu Jun 22 15:20:05 2023 commencing linear algebra
  167. Thu Jun 22 15:20:05 2023 using VBITS=512
  168. Thu Jun 22 15:20:05 2023 read 8567376 cycles
  169. Thu Jun 22 15:20:19 2023 cycles contain 27389216 unique relations
  170. Thu Jun 22 15:22:32 2023 read 27389216 relations
  171. Thu Jun 22 15:23:04 2023 using 20 quadratic characters above 4294917295
  172. Thu Jun 22 15:24:50 2023 building initial matrix
  173. Thu Jun 22 15:29:20 2023 memory use: 3335.4 MB
  174. Thu Jun 22 15:29:23 2023 read 8567376 cycles
  175. Thu Jun 22 15:29:24 2023 matrix is 8567199 x 8567376 (3692.7 MB) with weight 1047612788 (122.28/col)
  176. Thu Jun 22 15:29:24 2023 sparse part has weight 882357413 (102.99/col)
  177. Thu Jun 22 15:30:55 2023 filtering completed in 2 passes
  178. Thu Jun 22 15:30:56 2023 matrix is 8567044 x 8567185 (3692.7 MB) with weight 1047607421 (122.28/col)
  179. Thu Jun 22 15:30:56 2023 sparse part has weight 882355547 (102.99/col)
  180. Thu Jun 22 15:31:17 2023 matrix starts at (0, 0)
  181. Thu Jun 22 15:31:18 2023 matrix is 8567044 x 8567185 (3692.7 MB) with weight 1047607421 (122.28/col)
  182. Thu Jun 22 15:31:18 2023 sparse part has weight 882355547 (102.99/col)
  183. Thu Jun 22 15:31:18 2023 saving the first 496 matrix rows for later
  184. Thu Jun 22 15:31:20 2023 matrix includes 512 packed rows
  185. Thu Jun 22 15:31:26 2023 matrix is 8566548 x 8567185 (3529.2 MB) with weight 759912193 (88.70/col)
  186. Thu Jun 22 15:31:26 2023 sparse part has weight 719546817 (83.99/col)
  187. Thu Jun 22 15:31:26 2023 using GPU 0 (NVIDIA GeForce RTX 3060)
  188. Thu Jun 22 15:31:26 2023 selected card has CUDA arch 8.6
  189. Thu Jun 22 15:32:13 2023 commencing Lanczos iteration
  190. Thu Jun 22 15:32:14 2023 memory use: 9869.0 MB
  191. Thu Jun 22 15:32:45 2023 linear algebra at 0.2%, ETA 4h38m
  192. Thu Jun 22 15:32:46 2023 checkpointing every 1850000 dimensions
  193. Thu Jun 22 20:12:59 2023 lanczos halted after 16758 iterations (dim = 8566542)
  194. Thu Jun 22 20:16:45 2023 recovered 31 nontrivial dependencies
  195. Thu Jun 22 20:16:46 2023 BLanczosTime: 17801
  196. Thu Jun 22 20:16:46 2023
  197. Thu Jun 22 20:16:46 2023 commencing square root phase
  198. Thu Jun 22 20:16:46 2023 handling dependencies 1 to 64
  199. Thu Jun 22 20:16:46 2023 reading relations for dependency 1
  200. Thu Jun 22 20:16:55 2023 read 4285393 cycles
  201. Thu Jun 22 20:17:07 2023 cycles contain 13700020 unique relations
  202. Thu Jun 22 20:19:03 2023 read 13700020 relations
  203. Thu Jun 22 20:20:41 2023 multiplying 13700020 relations
  204. Thu Jun 22 20:31:58 2023 multiply complete, coefficients have about 338.56 million bits
  205. Thu Jun 22 20:32:01 2023 initial square root is modulo 1188029
  206. Thu Jun 22 20:42:54 2023 GCD is 1, no factor found
  207. Thu Jun 22 20:42:54 2023 reading relations for dependency 2
  208. Thu Jun 22 20:42:55 2023 read 4282939 cycles
  209. Thu Jun 22 20:43:02 2023 cycles contain 13691782 unique relations
  210. Thu Jun 22 20:44:16 2023 read 13691782 relations
  211. Thu Jun 22 20:45:05 2023 multiplying 13691782 relations
  212. Thu Jun 22 20:52:48 2023 multiply complete, coefficients have about 338.36 million bits
  213. Thu Jun 22 20:52:50 2023 initial square root is modulo 1178461
  214. Thu Jun 22 21:01:04 2023 found factor: 905530857198956012542077343972706978769255552841712577347870536657421549
  215. Thu Jun 22 21:01:04 2023 reading relations for dependency 3
  216. Thu Jun 22 21:01:05 2023 read 4281267 cycles
  217. Thu Jun 22 21:01:11 2023 cycles contain 13688028 unique relations
  218. Thu Jun 22 21:02:25 2023 read 13688028 relations
  219. Thu Jun 22 21:03:16 2023 multiplying 13688028 relations
  220. Thu Jun 22 21:11:01 2023 multiply complete, coefficients have about 338.26 million bits
  221. Thu Jun 22 21:11:03 2023 initial square root is modulo 1173803
  222. Thu Jun 22 21:19:18 2023 found factor: 905530857198956012542077343972706978769255552841712577347870536657421549
  223. Thu Jun 22 21:19:18 2023 reading relations for dependency 4
  224. Thu Jun 22 21:19:20 2023 read 4284350 cycles
  225. Thu Jun 22 21:19:26 2023 cycles contain 13694784 unique relations
  226. Thu Jun 22 21:20:39 2023 read 13694784 relations
  227. Thu Jun 22 21:21:27 2023 multiplying 13694784 relations
  228. Thu Jun 22 21:29:03 2023 multiply complete, coefficients have about 338.43 million bits
  229. Thu Jun 22 21:29:05 2023 initial square root is modulo 1181759
  230. Thu Jun 22 21:37:18 2023 sqrtTime: 4832
  231. Thu Jun 22 21:37:18 2023 p55 factor: 9411894968933956718536718345716766411610971104155629399
  232. Thu Jun 22 21:37:18 2023 p66 factor: 221422303160997541175304155800339483252808156747649266952485390419
  233. Thu Jun 22 21:37:18 2023 p72 factor: 905530857198956012542077343972706978769255552841712577347870536657421549
  234. Thu Jun 22 21:37:18 2023 elapsed time 06:17:14
  235.  
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