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4p3_1371M

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Aug 18th, 2023
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  1. Thu Aug 17 16:41:36 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Thu Aug 17 16:41:36 2023 random seeds: 944037c9 bf51035a
  3. Thu Aug 17 16:41:36 2023 Using 16 OpenMP threads
  4. Thu Aug 17 16:41:36 2023 factoring 1686026047827720982973869848617318012794725656753963943089579178859596686929367956145970053690347362352624290803162083423277988855630148256477395316770069872461502080408739458621648308084694071476083178080118312914759666013233279486247244610812424216333893 (256 digits)
  5. Thu Aug 17 16:41:37 2023 no P-1/P+1/ECM available, skipping
  6. Thu Aug 17 16:41:37 2023 commencing number field sieve (256-digit input)
  7. Thu Aug 17 16:41:37 2023 R0: 5708990770823839524233143877797980545530986496
  8. Thu Aug 17 16:41:37 2023 R1: -1824800363140073127359051977856583921
  9. Thu Aug 17 16:41:37 2023 A0: 3
  10. Thu Aug 17 16:41:37 2023 A1: 0
  11. Thu Aug 17 16:41:37 2023 A2: 0
  12. Thu Aug 17 16:41:37 2023 A3: 6
  13. Thu Aug 17 16:41:37 2023 A4: 0
  14. Thu Aug 17 16:41:37 2023 A5: 0
  15. Thu Aug 17 16:41:37 2023 A6: 4
  16. Thu Aug 17 16:41:37 2023 skew 0.95, size 1.817e-13, alpha 1.048, combined = 3.137e-14 rroots = 0
  17. Thu Aug 17 16:41:37 2023
  18. Thu Aug 17 16:41:37 2023 commencing relation filtering
  19. Thu Aug 17 16:41:37 2023 estimated available RAM is 64223.0 MB
  20. Thu Aug 17 16:41:37 2023 commencing duplicate removal, pass 1
  21. Thu Aug 17 16:43:19 2023 error -15 reading relation 139251464
  22. Thu Aug 17 16:44:39 2023 skipped 1402 relations with b > 2^32
  23. Thu Aug 17 16:44:39 2023 found 13178291 hash collisions in 247060408 relations
  24. Thu Aug 17 16:44:45 2023 added 812988 free relations
  25. Thu Aug 17 16:44:45 2023 commencing duplicate removal, pass 2
  26. Thu Aug 17 16:45:34 2023 found 0 duplicates and 247873396 unique relations
  27. Thu Aug 17 16:45:34 2023 memory use: 788.8 MB
  28. Thu Aug 17 16:45:34 2023 reading ideals above 720000
  29. Thu Aug 17 16:45:34 2023 commencing singleton removal, initial pass
  30. Thu Aug 17 16:53:38 2023 memory use: 6024.0 MB
  31. Thu Aug 17 16:53:38 2023 reading all ideals from disk
  32. Thu Aug 17 16:53:43 2023 memory use: 12387.4 MB
  33. Thu Aug 17 16:53:56 2023 keeping 251525795 ideals with weight <= 200, target excess is 1287074
  34. Thu Aug 17 16:54:13 2023 commencing in-memory singleton removal
  35. Thu Aug 17 16:54:18 2023 begin with 247873396 relations and 251525795 unique ideals
  36. Thu Aug 17 16:54:59 2023 reduce to 147555424 relations and 143497150 ideals in 22 passes
  37. Thu Aug 17 16:54:59 2023 max relations containing the same ideal: 155
  38. Thu Aug 17 16:55:31 2023 removing 6208157 relations and 5808157 ideals in 400000 cliques
  39. Thu Aug 17 16:55:33 2023 commencing in-memory singleton removal
  40. Thu Aug 17 16:55:36 2023 begin with 141347267 relations and 143497150 unique ideals
  41. Thu Aug 17 16:55:52 2023 reduce to 141084666 relations and 137424993 ideals in 11 passes
  42. Thu Aug 17 16:55:52 2023 max relations containing the same ideal: 148
  43. Thu Aug 17 16:56:22 2023 removing 4509833 relations and 4109833 ideals in 400000 cliques
  44. Thu Aug 17 16:56:24 2023 commencing in-memory singleton removal
  45. Thu Aug 17 16:56:26 2023 begin with 136574833 relations and 137424993 unique ideals
  46. Thu Aug 17 16:56:39 2023 reduce to 136428082 relations and 133167837 ideals in 9 passes
  47. Thu Aug 17 16:56:39 2023 max relations containing the same ideal: 145
  48. Thu Aug 17 16:57:08 2023 removing 3966767 relations and 3566767 ideals in 400000 cliques
  49. Thu Aug 17 16:57:10 2023 commencing in-memory singleton removal
  50. Thu Aug 17 16:57:12 2023 begin with 132461315 relations and 133167837 unique ideals
  51. Thu Aug 17 16:57:25 2023 reduce to 132344829 relations and 129484144 ideals in 9 passes
  52. Thu Aug 17 16:57:25 2023 max relations containing the same ideal: 144
  53. Thu Aug 17 16:57:53 2023 removing 3664372 relations and 3264372 ideals in 400000 cliques
  54. Thu Aug 17 16:57:55 2023 commencing in-memory singleton removal
  55. Thu Aug 17 16:57:57 2023 begin with 128680457 relations and 129484144 unique ideals
  56. Thu Aug 17 16:58:09 2023 reduce to 128578170 relations and 126117135 ideals in 9 passes
  57. Thu Aug 17 16:58:09 2023 max relations containing the same ideal: 140
  58. Thu Aug 17 16:58:36 2023 removing 3460028 relations and 3060028 ideals in 400000 cliques
  59. Thu Aug 17 16:58:38 2023 commencing in-memory singleton removal
  60. Thu Aug 17 16:58:40 2023 begin with 125118142 relations and 126117135 unique ideals
  61. Thu Aug 17 16:58:52 2023 reduce to 125025619 relations and 122964261 ideals in 9 passes
  62. Thu Aug 17 16:58:52 2023 max relations containing the same ideal: 138
  63. Thu Aug 17 16:59:19 2023 removing 3311142 relations and 2911142 ideals in 400000 cliques
  64. Thu Aug 17 16:59:20 2023 commencing in-memory singleton removal
  65. Thu Aug 17 16:59:23 2023 begin with 121714477 relations and 122964261 unique ideals
  66. Thu Aug 17 16:59:34 2023 reduce to 121625561 relations and 119963903 ideals in 9 passes
  67. Thu Aug 17 16:59:34 2023 max relations containing the same ideal: 137
  68. Thu Aug 17 17:00:00 2023 removing 1538191 relations and 1369539 ideals in 168652 cliques
  69. Thu Aug 17 17:00:01 2023 commencing in-memory singleton removal
  70. Thu Aug 17 17:00:04 2023 begin with 120087370 relations and 119963903 unique ideals
  71. Thu Aug 17 17:00:12 2023 reduce to 120068612 relations and 118575576 ideals in 7 passes
  72. Thu Aug 17 17:00:12 2023 max relations containing the same ideal: 136
  73. Thu Aug 17 17:00:25 2023 relations with 0 large ideals: 32902
  74. Thu Aug 17 17:00:25 2023 relations with 1 large ideals: 12737
  75. Thu Aug 17 17:00:25 2023 relations with 2 large ideals: 199505
  76. Thu Aug 17 17:00:25 2023 relations with 3 large ideals: 1547867
  77. Thu Aug 17 17:00:25 2023 relations with 4 large ideals: 6748905
  78. Thu Aug 17 17:00:25 2023 relations with 5 large ideals: 17849815
  79. Thu Aug 17 17:00:25 2023 relations with 6 large ideals: 29775143
  80. Thu Aug 17 17:00:25 2023 relations with 7+ large ideals: 63901738
  81. Thu Aug 17 17:00:25 2023 commencing 2-way merge
  82. Thu Aug 17 17:01:09 2023 reduce to 71680327 relation sets and 70187291 unique ideals
  83. Thu Aug 17 17:01:09 2023 commencing full merge
  84. Thu Aug 17 17:15:00 2023 memory use: 8152.2 MB
  85. Thu Aug 17 17:15:05 2023 found 34603959 cycles, need 34463491
  86. Thu Aug 17 17:15:12 2023 weight of 34463491 cycles is about 3101924611 (90.01/cycle)
  87. Thu Aug 17 17:15:12 2023 distribution of cycle lengths:
  88. Thu Aug 17 17:15:12 2023 1 relations: 4692090
  89. Thu Aug 17 17:15:12 2023 2 relations: 3970099
  90. Thu Aug 17 17:15:12 2023 3 relations: 3707646
  91. Thu Aug 17 17:15:12 2023 4 relations: 3232167
  92. Thu Aug 17 17:15:12 2023 5 relations: 2913017
  93. Thu Aug 17 17:15:12 2023 6 relations: 2443030
  94. Thu Aug 17 17:15:12 2023 7 relations: 2131954
  95. Thu Aug 17 17:15:12 2023 8 relations: 1845891
  96. Thu Aug 17 17:15:12 2023 9 relations: 1570934
  97. Thu Aug 17 17:15:12 2023 10+ relations: 7956663
  98. Thu Aug 17 17:15:12 2023 heaviest cycle: 28 relations
  99. Thu Aug 17 17:15:16 2023 commencing cycle optimization
  100. Thu Aug 17 17:15:53 2023 start with 221595740 relations
  101. Thu Aug 17 17:19:30 2023 pruned 5294441 relations
  102. Thu Aug 17 17:19:32 2023 memory use: 7131.6 MB
  103. Thu Aug 17 17:19:32 2023 distribution of cycle lengths:
  104. Thu Aug 17 17:19:32 2023 1 relations: 4692090
  105. Thu Aug 17 17:19:32 2023 2 relations: 4062911
  106. Thu Aug 17 17:19:32 2023 3 relations: 3835363
  107. Thu Aug 17 17:19:32 2023 4 relations: 3305967
  108. Thu Aug 17 17:19:32 2023 5 relations: 2970226
  109. Thu Aug 17 17:19:32 2023 6 relations: 2470325
  110. Thu Aug 17 17:19:32 2023 7 relations: 2146989
  111. Thu Aug 17 17:19:32 2023 8 relations: 1838768
  112. Thu Aug 17 17:19:32 2023 9 relations: 1557031
  113. Thu Aug 17 17:19:32 2023 10+ relations: 7583821
  114. Thu Aug 17 17:19:32 2023 heaviest cycle: 28 relations
  115. Thu Aug 17 17:20:08 2023 RelProcTime: 2311
  116. Thu Aug 17 17:20:08 2023 elapsed time 00:38:32
  117. Thu Aug 17 18:00:14 2023
  118. Thu Aug 17 18:00:14 2023
  119. Thu Aug 17 18:00:14 2023 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI)
  120. Thu Aug 17 18:00:14 2023 random seeds: 35abee85 f4e856fe
  121. Thu Aug 17 18:00:14 2023 MPI process 0 of 2
  122. Thu Aug 17 18:00:14 2023 Using 8 OpenMP threads
  123. Thu Aug 17 18:00:14 2023 factoring 1686026047827720982973869848617318012794725656753963943089579178859596686929367956145970053690347362352624290803162083423277988855630148256477395316770069872461502080408739458621648308084694071476083178080118312914759666013233279486247244610812424216333893 (256 digits)
  124. Thu Aug 17 18:00:15 2023 no P-1/P+1/ECM available, skipping
  125. Thu Aug 17 18:00:15 2023 commencing number field sieve (256-digit input)
  126. Thu Aug 17 18:00:15 2023 R0: 5708990770823839524233143877797980545530986496
  127. Thu Aug 17 18:00:15 2023 R1: -1824800363140073127359051977856583921
  128. Thu Aug 17 18:00:15 2023 A0: 3
  129. Thu Aug 17 18:00:15 2023 A1: 0
  130. Thu Aug 17 18:00:15 2023 A2: 0
  131. Thu Aug 17 18:00:15 2023 A3: 6
  132. Thu Aug 17 18:00:15 2023 A4: 0
  133. Thu Aug 17 18:00:15 2023 A5: 0
  134. Thu Aug 17 18:00:15 2023 A6: 4
  135. Thu Aug 17 18:00:15 2023 skew 0.95, size 1.817e-13, alpha 1.048, combined = 3.137e-14 rroots = 0
  136. Thu Aug 17 18:00:15 2023
  137. Thu Aug 17 18:00:15 2023 commencing linear algebra
  138. Thu Aug 17 18:00:15 2023 using VBITS=256
  139. Thu Aug 17 18:00:15 2023 initialized process (0,0) of 1 x 2 grid
  140. Thu Aug 17 18:00:17 2023 read 34463491 cycles
  141. Thu Aug 17 18:00:52 2023 cycles contain 118594460 unique relations
  142. Thu Aug 17 18:02:26 2023 read 118594460 relations
  143. Thu Aug 17 18:02:51 2023 using 20 quadratic characters above 4294917295
  144. Thu Aug 17 18:03:33 2023 building initial matrix
  145. Thu Aug 17 18:14:52 2023 memory use: 14684.6 MB
  146. Thu Aug 17 18:15:04 2023 read 34463491 cycles
  147. Thu Aug 17 18:15:08 2023 matrix is 34463310 x 34463491 (12865.2 MB) with weight 3699048329 (107.33/col)
  148. Thu Aug 17 18:15:08 2023 sparse part has weight 2993442879 (86.86/col)
  149. Thu Aug 17 18:18:33 2023 filtering completed in 2 passes
  150. Thu Aug 17 18:18:37 2023 matrix is 34441783 x 34441958 (12863.6 MB) with weight 3698397913 (107.38/col)
  151. Thu Aug 17 18:18:37 2023 sparse part has weight 2993253479 (86.91/col)
  152. Thu Aug 17 18:19:20 2023 matrix starts at (0, 0)
  153. Thu Aug 17 18:19:22 2023 matrix is 34441783 x 17221031 (6431.8 MB) with weight 1849187353 (107.38/col)
  154. Thu Aug 17 18:19:22 2023 sparse part has weight 1496626839 (86.91/col)
  155. Thu Aug 17 18:19:22 2023 saving the first 240 matrix rows for later
  156. Thu Aug 17 18:19:24 2023 matrix includes 256 packed rows
  157. Thu Aug 17 18:19:30 2023 matrix is 34441543 x 17221031 (6016.3 MB) with weight 1367291378 (79.40/col)
  158. Thu Aug 17 18:19:30 2023 sparse part has weight 1301591546 (75.58/col)
  159. Thu Aug 17 18:19:30 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  160. Thu Aug 17 18:19:30 2023 selected card has CUDA arch 8.6
  161. Thu Aug 17 18:21:04 2023 commencing Lanczos iteration
  162. Thu Aug 17 18:21:05 2023 memory use: 15908.4 MB
  163. Thu Aug 17 18:22:00 2023 linear algebra at 0.1%, ETA 16h32m
  164. Thu Aug 17 18:23:21 2023 checking every 30000 dimensions, checkpointing every 2070000 dimensions
  165. Fri Aug 18 11:39:28 2023 lanczos halted after 134942 iterations (dim = 34441542)
  166. Fri Aug 18 11:41:08 2023 recovered 38 nontrivial dependencies
  167. Fri Aug 18 11:41:09 2023 BLanczosTime: 63654
  168. Fri Aug 18 11:41:09 2023 elapsed time 17:40:55
  169. Fri Aug 18 11:41:10 2023
  170. Fri Aug 18 11:41:10 2023
  171. Fri Aug 18 11:41:10 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  172. Fri Aug 18 11:41:10 2023 random seeds: 17fd3045 6ac4c72a
  173. Fri Aug 18 11:41:10 2023 Using 16 OpenMP threads
  174. Fri Aug 18 11:41:10 2023 factoring 1686026047827720982973869848617318012794725656753963943089579178859596686929367956145970053690347362352624290803162083423277988855630148256477395316770069872461502080408739458621648308084694071476083178080118312914759666013233279486247244610812424216333893 (256 digits)
  175. Fri Aug 18 11:41:11 2023 no P-1/P+1/ECM available, skipping
  176. Fri Aug 18 11:41:11 2023 commencing number field sieve (256-digit input)
  177. Fri Aug 18 11:41:11 2023 R0: 5708990770823839524233143877797980545530986496
  178. Fri Aug 18 11:41:11 2023 R1: -1824800363140073127359051977856583921
  179. Fri Aug 18 11:41:11 2023 A0: 3
  180. Fri Aug 18 11:41:11 2023 A1: 0
  181. Fri Aug 18 11:41:11 2023 A2: 0
  182. Fri Aug 18 11:41:11 2023 A3: 6
  183. Fri Aug 18 11:41:11 2023 A4: 0
  184. Fri Aug 18 11:41:11 2023 A5: 0
  185. Fri Aug 18 11:41:11 2023 A6: 4
  186. Fri Aug 18 11:41:11 2023 skew 0.95, size 1.817e-13, alpha 1.048, combined = 3.137e-14 rroots = 0
  187. Fri Aug 18 11:41:11 2023
  188. Fri Aug 18 11:41:11 2023 commencing square root phase
  189. Fri Aug 18 11:41:11 2023 reading relations for dependency 1
  190. Fri Aug 18 11:41:12 2023 read 17221207 cycles
  191. Fri Aug 18 11:41:31 2023 cycles contain 59289060 unique relations
  192. Fri Aug 18 11:42:08 2023 read 59289060 relations
  193. Fri Aug 18 11:44:49 2023 multiplying 59289060 relations
  194. Fri Aug 18 11:49:26 2023 multiply complete, coefficients have about 1675.33 million bits
  195. Fri Aug 18 11:49:29 2023 initial square root is modulo 32740787
  196. Fri Aug 18 11:56:40 2023 sqrtTime: 929
  197. Fri Aug 18 11:56:40 2023 p76 factor: 1002375417446616682432572651453524504832794932810828490815043421268774455877
  198. Fri Aug 18 11:56:40 2023 p181 factor: 1682030523177224019014558051594555804266677288596438441254748293256689537076482793933877783887762620417891916089566571123791427769238734585937119307519021647637935110824436901803009
  199. Fri Aug 18 11:56:40 2023 elapsed time 00:15:30
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