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Aug 15th, 2023
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  1. Mon Aug 14 15:52:45 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Mon Aug 14 15:52:45 2023 random seeds: f31b74df c84e47fe
  3. Mon Aug 14 15:52:45 2023 Using 16 OpenMP threads
  4. Mon Aug 14 15:52:45 2023 factoring 9971104882365443966938487678689111817237524366019975481810863662826123780627141455559251708632061600034440653495987894915633016328422084418175014270408461426283147195006276198706100664588661420408737670806018716377299631149 (223 digits)
  5. Mon Aug 14 15:52:46 2023 no P-1/P+1/ECM available, skipping
  6. Mon Aug 14 15:52:46 2023 commencing number field sieve (223-digit input)
  7. Mon Aug 14 15:52:46 2023 R0: 6626407623023341735842836810834443894680475442
  8. Mon Aug 14 15:52:46 2023 R1: -318270182965192022252424017587489077700729
  9. Mon Aug 14 15:52:46 2023 A0: -1
  10. Mon Aug 14 15:52:46 2023 A1: -3
  11. Mon Aug 14 15:52:46 2023 A2: 6
  12. Mon Aug 14 15:52:46 2023 A3: 4
  13. Mon Aug 14 15:52:46 2023 A4: -5
  14. Mon Aug 14 15:52:46 2023 A5: -1
  15. Mon Aug 14 15:52:46 2023 A6: 1
  16. Mon Aug 14 15:52:46 2023 skew 1.00, size 1.824e-13, alpha 3.126, combined = 3.084e-14 rroots = 6
  17. Mon Aug 14 15:52:46 2023
  18. Mon Aug 14 15:52:46 2023 commencing relation filtering
  19. Mon Aug 14 15:52:46 2023 setting target matrix density to 100.0
  20. Mon Aug 14 15:52:46 2023 estimated available RAM is 64223.0 MB
  21. Mon Aug 14 15:52:46 2023 commencing duplicate removal, pass 1
  22. Mon Aug 14 15:54:52 2023 error -15 reading relation 172247015
  23. Mon Aug 14 15:55:37 2023 error -15 reading relation 235058308
  24. Mon Aug 14 15:55:50 2023 skipped 1425 relations with b > 2^32
  25. Mon Aug 14 15:55:50 2023 found 13991443 hash collisions in 254864460 relations
  26. Mon Aug 14 15:55:54 2023 added 2438358 free relations
  27. Mon Aug 14 15:55:54 2023 commencing duplicate removal, pass 2
  28. Mon Aug 14 15:56:43 2023 found 0 duplicates and 257302818 unique relations
  29. Mon Aug 14 15:56:43 2023 memory use: 852.8 MB
  30. Mon Aug 14 15:56:43 2023 reading ideals above 720000
  31. Mon Aug 14 15:56:43 2023 commencing singleton removal, initial pass
  32. Mon Aug 14 16:04:49 2023 memory use: 6024.0 MB
  33. Mon Aug 14 16:04:49 2023 reading all ideals from disk
  34. Mon Aug 14 16:04:54 2023 memory use: 12875.8 MB
  35. Mon Aug 14 16:05:07 2023 keeping 259196460 ideals with weight <= 200, target excess is 1340267
  36. Mon Aug 14 16:05:24 2023 commencing in-memory singleton removal
  37. Mon Aug 14 16:05:29 2023 begin with 257302818 relations and 259196460 unique ideals
  38. Mon Aug 14 16:06:11 2023 reduce to 153037750 relations and 146765591 ideals in 23 passes
  39. Mon Aug 14 16:06:11 2023 max relations containing the same ideal: 154
  40. Mon Aug 14 16:06:44 2023 removing 11569891 relations and 10569891 ideals in 1000000 cliques
  41. Mon Aug 14 16:06:48 2023 commencing in-memory singleton removal
  42. Mon Aug 14 16:06:50 2023 begin with 141467859 relations and 146765591 unique ideals
  43. Mon Aug 14 16:07:07 2023 reduce to 140605617 relations and 135324557 ideals in 12 passes
  44. Mon Aug 14 16:07:07 2023 max relations containing the same ideal: 142
  45. Mon Aug 14 16:07:36 2023 removing 8526875 relations and 7526875 ideals in 1000000 cliques
  46. Mon Aug 14 16:07:39 2023 commencing in-memory singleton removal
  47. Mon Aug 14 16:07:41 2023 begin with 132078742 relations and 135324557 unique ideals
  48. Mon Aug 14 16:07:54 2023 reduce to 131562465 relations and 127276965 ideals in 10 passes
  49. Mon Aug 14 16:07:54 2023 max relations containing the same ideal: 136
  50. Mon Aug 14 16:08:22 2023 removing 7570143 relations and 6570143 ideals in 1000000 cliques
  51. Mon Aug 14 16:08:24 2023 commencing in-memory singleton removal
  52. Mon Aug 14 16:08:26 2023 begin with 123992322 relations and 127276965 unique ideals
  53. Mon Aug 14 16:08:39 2023 reduce to 123559785 relations and 120270542 ideals in 10 passes
  54. Mon Aug 14 16:08:39 2023 max relations containing the same ideal: 129
  55. Mon Aug 14 16:09:05 2023 removing 7066328 relations and 6066328 ideals in 1000000 cliques
  56. Mon Aug 14 16:09:07 2023 commencing in-memory singleton removal
  57. Mon Aug 14 16:09:09 2023 begin with 116493457 relations and 120270542 unique ideals
  58. Mon Aug 14 16:09:21 2023 reduce to 116094205 relations and 113801608 ideals in 10 passes
  59. Mon Aug 14 16:09:21 2023 max relations containing the same ideal: 123
  60. Mon Aug 14 16:09:45 2023 removing 5263678 relations and 4525791 ideals in 737887 cliques
  61. Mon Aug 14 16:09:47 2023 commencing in-memory singleton removal
  62. Mon Aug 14 16:09:49 2023 begin with 110830527 relations and 113801608 unique ideals
  63. Mon Aug 14 16:09:59 2023 reduce to 110602163 relations and 109046015 ideals in 9 passes
  64. Mon Aug 14 16:09:59 2023 max relations containing the same ideal: 118
  65. Mon Aug 14 16:10:33 2023 relations with 0 large ideals: 102699
  66. Mon Aug 14 16:10:33 2023 relations with 1 large ideals: 17736
  67. Mon Aug 14 16:10:33 2023 relations with 2 large ideals: 213877
  68. Mon Aug 14 16:10:33 2023 relations with 3 large ideals: 1592501
  69. Mon Aug 14 16:10:33 2023 relations with 4 large ideals: 6667246
  70. Mon Aug 14 16:10:33 2023 relations with 5 large ideals: 17005830
  71. Mon Aug 14 16:10:33 2023 relations with 6 large ideals: 27379378
  72. Mon Aug 14 16:10:33 2023 relations with 7+ large ideals: 57622896
  73. Mon Aug 14 16:10:33 2023 commencing 2-way merge
  74. Mon Aug 14 16:11:12 2023 reduce to 66731994 relation sets and 65175846 unique ideals
  75. Mon Aug 14 16:11:12 2023 commencing full merge
  76. Mon Aug 14 16:26:59 2023 memory use: 8313.7 MB
  77. Mon Aug 14 16:27:03 2023 found 31035627 cycles, need 31022046
  78. Mon Aug 14 16:27:09 2023 weight of 31022046 cycles is about 3102338028 (100.00/cycle)
  79. Mon Aug 14 16:27:09 2023 distribution of cycle lengths:
  80. Mon Aug 14 16:27:09 2023 1 relations: 3823885
  81. Mon Aug 14 16:27:09 2023 2 relations: 3185920
  82. Mon Aug 14 16:27:09 2023 3 relations: 2873254
  83. Mon Aug 14 16:27:09 2023 4 relations: 2577237
  84. Mon Aug 14 16:27:09 2023 5 relations: 2329671
  85. Mon Aug 14 16:27:09 2023 6 relations: 2100479
  86. Mon Aug 14 16:27:09 2023 7 relations: 1869760
  87. Mon Aug 14 16:27:09 2023 8 relations: 1639789
  88. Mon Aug 14 16:27:09 2023 9 relations: 1472304
  89. Mon Aug 14 16:27:09 2023 10+ relations: 9149747
  90. Mon Aug 14 16:27:09 2023 heaviest cycle: 28 relations
  91. Mon Aug 14 16:27:14 2023 commencing cycle optimization
  92. Mon Aug 14 16:27:51 2023 start with 228071972 relations
  93. Mon Aug 14 16:32:23 2023 pruned 6420514 relations
  94. Mon Aug 14 16:32:24 2023 memory use: 6821.2 MB
  95. Mon Aug 14 16:32:24 2023 distribution of cycle lengths:
  96. Mon Aug 14 16:32:24 2023 1 relations: 3823885
  97. Mon Aug 14 16:32:24 2023 2 relations: 3249473
  98. Mon Aug 14 16:32:24 2023 3 relations: 2971812
  99. Mon Aug 14 16:32:24 2023 4 relations: 2645576
  100. Mon Aug 14 16:32:24 2023 5 relations: 2397621
  101. Mon Aug 14 16:32:24 2023 6 relations: 2143580
  102. Mon Aug 14 16:32:24 2023 7 relations: 1903402
  103. Mon Aug 14 16:32:24 2023 8 relations: 1658972
  104. Mon Aug 14 16:32:24 2023 9 relations: 1482864
  105. Mon Aug 14 16:32:24 2023 10+ relations: 8744861
  106. Mon Aug 14 16:32:24 2023 heaviest cycle: 28 relations
  107. Mon Aug 14 16:32:58 2023 RelProcTime: 2412
  108. Mon Aug 14 16:32:58 2023 elapsed time 00:40:13
  109. Mon Aug 14 16:42:56 2023
  110. Mon Aug 14 16:42:56 2023
  111. Mon Aug 14 16:42:56 2023 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI)
  112. Mon Aug 14 16:42:56 2023 random seeds: 2b5540ee 200511a0
  113. Mon Aug 14 16:42:56 2023 MPI process 0 of 2
  114. Mon Aug 14 16:42:56 2023 Using 8 OpenMP threads
  115. Mon Aug 14 16:42:56 2023 factoring 9971104882365443966938487678689111817237524366019975481810863662826123780627141455559251708632061600034440653495987894915633016328422084418175014270408461426283147195006276198706100664588661420408737670806018716377299631149 (223 digits)
  116. Mon Aug 14 16:42:57 2023 no P-1/P+1/ECM available, skipping
  117. Mon Aug 14 16:42:57 2023 commencing number field sieve (223-digit input)
  118. Mon Aug 14 16:42:57 2023 R0: 6626407623023341735842836810834443894680475442
  119. Mon Aug 14 16:42:57 2023 R1: -318270182965192022252424017587489077700729
  120. Mon Aug 14 16:42:57 2023 A0: -1
  121. Mon Aug 14 16:42:57 2023 A1: -3
  122. Mon Aug 14 16:42:57 2023 A2: 6
  123. Mon Aug 14 16:42:57 2023 A3: 4
  124. Mon Aug 14 16:42:57 2023 A4: -5
  125. Mon Aug 14 16:42:57 2023 A5: -1
  126. Mon Aug 14 16:42:57 2023 A6: 1
  127. Mon Aug 14 16:42:57 2023 skew 1.00, size 1.824e-13, alpha 3.126, combined = 3.084e-14 rroots = 6
  128. Mon Aug 14 16:42:57 2023
  129. Mon Aug 14 16:42:57 2023 commencing linear algebra
  130. Mon Aug 14 16:42:57 2023 using VBITS=256
  131. Mon Aug 14 16:42:57 2023 initialized process (0,0) of 1 x 2 grid
  132. Mon Aug 14 16:42:58 2023 read 31022046 cycles
  133. Mon Aug 14 16:43:35 2023 cycles contain 109030838 unique relations
  134. Mon Aug 14 16:44:59 2023 read 109030838 relations
  135. Mon Aug 14 16:45:25 2023 using 20 quadratic characters above 4294917295
  136. Mon Aug 14 16:46:04 2023 building initial matrix
  137. Mon Aug 14 16:57:01 2023 memory use: 13258.5 MB
  138. Mon Aug 14 16:57:15 2023 read 31022046 cycles
  139. Mon Aug 14 16:57:18 2023 matrix is 31021868 x 31022046 (12493.7 MB) with weight 3527078777 (113.70/col)
  140. Mon Aug 14 16:57:18 2023 sparse part has weight 2964919588 (95.57/col)
  141. Mon Aug 14 17:00:48 2023 filtering completed in 2 passes
  142. Mon Aug 14 17:00:51 2023 matrix is 31018924 x 31019086 (12493.4 MB) with weight 3526993054 (113.70/col)
  143. Mon Aug 14 17:00:51 2023 sparse part has weight 2964891530 (95.58/col)
  144. Mon Aug 14 17:01:33 2023 matrix starts at (0, 0)
  145. Mon Aug 14 17:01:35 2023 matrix is 31018924 x 15509563 (6246.7 MB) with weight 1763507013 (113.70/col)
  146. Mon Aug 14 17:01:35 2023 sparse part has weight 1482445914 (95.58/col)
  147. Mon Aug 14 17:01:35 2023 saving the first 240 matrix rows for later
  148. Mon Aug 14 17:01:37 2023 matrix includes 256 packed rows
  149. Mon Aug 14 17:01:42 2023 matrix is 31018684 x 15509563 (5880.1 MB) with weight 1355799984 (87.42/col)
  150. Mon Aug 14 17:01:42 2023 sparse part has weight 1293272679 (83.39/col)
  151. Mon Aug 14 17:01:42 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  152. Mon Aug 14 17:01:42 2023 selected card has CUDA arch 8.6
  153. Mon Aug 14 17:06:22 2023 commencing Lanczos iteration
  154. Mon Aug 14 17:06:23 2023 memory use: 15250.8 MB
  155. Mon Aug 14 17:07:51 2023 linear algebra at 0.1%, ETA 13h12m
  156. Mon Aug 14 17:09:11 2023 checking every 30000 dimensions, checkpointing every 2190000 dimensions
  157. Tue Aug 15 08:08:49 2023 lanczos halted after 121531 iterations (dim = 31018682)
  158. Tue Aug 15 08:10:56 2023 recovered 34 nontrivial dependencies
  159. Tue Aug 15 08:10:57 2023 BLanczosTime: 55680
  160. Tue Aug 15 08:10:57 2023 elapsed time 15:28:01
  161. Tue Aug 15 08:10:59 2023
  162. Tue Aug 15 08:10:59 2023
  163. Tue Aug 15 08:10:59 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  164. Tue Aug 15 08:10:59 2023 random seeds: bdc5a3c0 9c72ebab
  165. Tue Aug 15 08:10:59 2023 Using 16 OpenMP threads
  166. Tue Aug 15 08:10:59 2023 factoring 9971104882365443966938487678689111817237524366019975481810863662826123780627141455559251708632061600034440653495987894915633016328422084418175014270408461426283147195006276198706100664588661420408737670806018716377299631149 (223 digits)
  167. Tue Aug 15 08:11:00 2023 no P-1/P+1/ECM available, skipping
  168. Tue Aug 15 08:11:00 2023 commencing number field sieve (223-digit input)
  169. Tue Aug 15 08:11:00 2023 R0: 6626407623023341735842836810834443894680475442
  170. Tue Aug 15 08:11:00 2023 R1: -318270182965192022252424017587489077700729
  171. Tue Aug 15 08:11:00 2023 A0: -1
  172. Tue Aug 15 08:11:00 2023 A1: -3
  173. Tue Aug 15 08:11:00 2023 A2: 6
  174. Tue Aug 15 08:11:00 2023 A3: 4
  175. Tue Aug 15 08:11:00 2023 A4: -5
  176. Tue Aug 15 08:11:00 2023 A5: -1
  177. Tue Aug 15 08:11:00 2023 A6: 1
  178. Tue Aug 15 08:11:00 2023 skew 1.00, size 1.824e-13, alpha 3.126, combined = 3.084e-14 rroots = 6
  179. Tue Aug 15 08:11:00 2023
  180. Tue Aug 15 08:11:00 2023 commencing square root phase
  181. Tue Aug 15 08:11:00 2023 reading relations for dependency 1
  182. Tue Aug 15 08:11:03 2023 read 15511528 cycles
  183. Tue Aug 15 08:11:32 2023 cycles contain 54524672 unique relations
  184. Tue Aug 15 08:12:48 2023 read 54524672 relations
  185. Tue Aug 15 08:16:20 2023 multiplying 54524672 relations
  186. Tue Aug 15 08:21:27 2023 multiply complete, coefficients have about 1432.43 million bits
  187. Tue Aug 15 08:21:31 2023 initial square root is modulo 2663867
  188. Tue Aug 15 08:32:38 2023 GCD is 1, no factor found
  189. Tue Aug 15 08:32:38 2023 reading relations for dependency 2
  190. Tue Aug 15 08:32:41 2023 read 15504997 cycles
  191. Tue Aug 15 08:33:09 2023 cycles contain 54498190 unique relations
  192. Tue Aug 15 08:34:16 2023 read 54498190 relations
  193. Tue Aug 15 08:37:48 2023 multiplying 54498190 relations
  194. Tue Aug 15 08:42:49 2023 multiply complete, coefficients have about 1431.75 million bits
  195. Tue Aug 15 08:42:53 2023 initial square root is modulo 2645051
  196. Tue Aug 15 08:54:03 2023 sqrtTime: 2583
  197. Tue Aug 15 08:54:03 2023 p102 factor: 597735021001745863141950551519605528337201076171761831334705439337397539299769509989126330836119003193
  198. Tue Aug 15 08:54:03 2023 p122 factor: 16681480140907320847120479317921468047308684180313695751438535675622983129495005812330401829321512569190508418049652249493
  199. Tue Aug 15 08:54:03 2023 elapsed time 00:43:04
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