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Oct 20th, 2023
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  1. Thu Oct 19 10:12:39 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Thu Oct 19 10:12:39 2023 random seeds: 62293af3 7acf41bf
  3. Thu Oct 19 10:12:39 2023 Using 16 OpenMP threads
  4. Thu Oct 19 10:12:39 2023 factoring 50378383223026992266379441189716671364843281946880256422390197679854641762902489241382113694712854294757615353692063222385044101088610982305127166990631846186397622199738053834087602368746423657830038676086492533708930972458301077867617 (236 digits)
  5. Thu Oct 19 10:12:40 2023 no P-1/P+1/ECM available, skipping
  6. Thu Oct 19 10:12:40 2023 commencing number field sieve (236-digit input)
  7. Thu Oct 19 10:12:40 2023 R0: 4232942115750968977678335998443322724568793088
  8. Thu Oct 19 10:12:40 2023 R1: -227373675443232059478759765625
  9. Thu Oct 19 10:12:40 2023 A0: 100
  10. Thu Oct 19 10:12:40 2023 A1: 0
  11. Thu Oct 19 10:12:40 2023 A2: 0
  12. Thu Oct 19 10:12:40 2023 A3: 0
  13. Thu Oct 19 10:12:40 2023 A4: 0
  14. Thu Oct 19 10:12:40 2023 A5: 0
  15. Thu Oct 19 10:12:40 2023 A6: 9
  16. Thu Oct 19 10:12:40 2023 skew 1.49, size 1.421e-13, alpha 0.103, combined = 2.682e-14 rroots = 0
  17. Thu Oct 19 10:12:40 2023
  18. Thu Oct 19 10:12:40 2023 commencing relation filtering
  19. Thu Oct 19 10:12:40 2023 setting target matrix density to 114.0
  20. Thu Oct 19 10:12:40 2023 estimated available RAM is 128734.5 MB
  21. Thu Oct 19 10:12:40 2023 commencing duplicate removal, pass 1
  22. Thu Oct 19 10:13:22 2023 error -11 reading relation 56855611
  23. Thu Oct 19 10:14:55 2023 error -15 reading relation 180808219
  24. Thu Oct 19 10:15:23 2023 error -6 reading relation 218309321
  25. Thu Oct 19 10:15:48 2023 error -11 reading relation 251482479
  26. Thu Oct 19 10:16:03 2023 skipped 1122 relations with b > 2^32
  27. Thu Oct 19 10:16:03 2023 skipped 1 malformed relations
  28. Thu Oct 19 10:16:03 2023 found 8397305 hash collisions in 274180703 relations
  29. Thu Oct 19 10:16:09 2023 commencing duplicate removal, pass 2
  30. Thu Oct 19 10:17:00 2023 found 0 duplicates and 274180703 unique relations
  31. Thu Oct 19 10:17:00 2023 memory use: 810.4 MB
  32. Thu Oct 19 10:17:00 2023 reading ideals above 720000
  33. Thu Oct 19 10:17:00 2023 commencing singleton removal, initial pass
  34. Thu Oct 19 10:25:42 2023 memory use: 6024.0 MB
  35. Thu Oct 19 10:25:42 2023 reading all ideals from disk
  36. Thu Oct 19 10:25:43 2023 memory use: 13755.1 MB
  37. Thu Oct 19 10:25:55 2023 keeping 262352458 ideals with weight <= 200, target excess is 1444240
  38. Thu Oct 19 10:26:11 2023 commencing in-memory singleton removal
  39. Thu Oct 19 10:26:16 2023 begin with 274180703 relations and 262352458 unique ideals
  40. Thu Oct 19 10:26:53 2023 reduce to 189111435 relations and 172021854 ideals in 19 passes
  41. Thu Oct 19 10:26:53 2023 max relations containing the same ideal: 165
  42. Thu Oct 19 10:27:29 2023 removing 16349732 relations and 14349732 ideals in 2000000 cliques
  43. Thu Oct 19 10:27:33 2023 commencing in-memory singleton removal
  44. Thu Oct 19 10:27:36 2023 begin with 172761703 relations and 172021854 unique ideals
  45. Thu Oct 19 10:27:53 2023 reduce to 171506594 relations and 156398106 ideals in 11 passes
  46. Thu Oct 19 10:27:53 2023 max relations containing the same ideal: 155
  47. Thu Oct 19 10:28:26 2023 removing 12283119 relations and 10283119 ideals in 2000000 cliques
  48. Thu Oct 19 10:28:30 2023 commencing in-memory singleton removal
  49. Thu Oct 19 10:28:32 2023 begin with 159223475 relations and 156398106 unique ideals
  50. Thu Oct 19 10:28:49 2023 reduce to 158427969 relations and 145309084 ideals in 12 passes
  51. Thu Oct 19 10:28:49 2023 max relations containing the same ideal: 149
  52. Thu Oct 19 10:29:20 2023 removing 11042666 relations and 9042666 ideals in 2000000 cliques
  53. Thu Oct 19 10:29:23 2023 commencing in-memory singleton removal
  54. Thu Oct 19 10:29:26 2023 begin with 147385303 relations and 145309084 unique ideals
  55. Thu Oct 19 10:29:38 2023 reduce to 146691223 relations and 135563359 ideals in 9 passes
  56. Thu Oct 19 10:29:38 2023 max relations containing the same ideal: 140
  57. Thu Oct 19 10:30:06 2023 removing 10403317 relations and 8403317 ideals in 2000000 cliques
  58. Thu Oct 19 10:30:09 2023 commencing in-memory singleton removal
  59. Thu Oct 19 10:30:11 2023 begin with 136287906 relations and 135563359 unique ideals
  60. Thu Oct 19 10:30:22 2023 reduce to 135629354 relations and 126492834 ideals in 9 passes
  61. Thu Oct 19 10:30:22 2023 max relations containing the same ideal: 133
  62. Thu Oct 19 10:30:49 2023 removing 10018401 relations and 8018401 ideals in 2000000 cliques
  63. Thu Oct 19 10:30:52 2023 commencing in-memory singleton removal
  64. Thu Oct 19 10:30:54 2023 begin with 125610953 relations and 126492834 unique ideals
  65. Thu Oct 19 10:31:04 2023 reduce to 124957383 relations and 117811916 ideals in 9 passes
  66. Thu Oct 19 10:31:04 2023 max relations containing the same ideal: 127
  67. Thu Oct 19 10:31:29 2023 removing 9776251 relations and 7776251 ideals in 2000000 cliques
  68. Thu Oct 19 10:31:32 2023 commencing in-memory singleton removal
  69. Thu Oct 19 10:31:34 2023 begin with 115181132 relations and 117811916 unique ideals
  70. Thu Oct 19 10:31:43 2023 reduce to 114508812 relations and 109353570 ideals in 9 passes
  71. Thu Oct 19 10:31:43 2023 max relations containing the same ideal: 116
  72. Thu Oct 19 10:32:06 2023 removing 9620294 relations and 7620294 ideals in 2000000 cliques
  73. Thu Oct 19 10:32:09 2023 commencing in-memory singleton removal
  74. Thu Oct 19 10:32:10 2023 begin with 104888518 relations and 109353570 unique ideals
  75. Thu Oct 19 10:32:19 2023 reduce to 104185781 relations and 101019506 ideals in 9 passes
  76. Thu Oct 19 10:32:19 2023 max relations containing the same ideal: 114
  77. Thu Oct 19 10:32:40 2023 removing 7543017 relations and 6052061 ideals in 1490956 cliques
  78. Thu Oct 19 10:32:42 2023 commencing in-memory singleton removal
  79. Thu Oct 19 10:32:44 2023 begin with 96642764 relations and 101019506 unique ideals
  80. Thu Oct 19 10:32:51 2023 reduce to 96186027 relations and 94504792 ideals in 8 passes
  81. Thu Oct 19 10:32:51 2023 max relations containing the same ideal: 108
  82. Thu Oct 19 10:33:19 2023 relations with 0 large ideals: 55238
  83. Thu Oct 19 10:33:19 2023 relations with 1 large ideals: 19361
  84. Thu Oct 19 10:33:19 2023 relations with 2 large ideals: 263451
  85. Thu Oct 19 10:33:19 2023 relations with 3 large ideals: 1838850
  86. Thu Oct 19 10:33:19 2023 relations with 4 large ideals: 7122735
  87. Thu Oct 19 10:33:19 2023 relations with 5 large ideals: 16702706
  88. Thu Oct 19 10:33:19 2023 relations with 6 large ideals: 24766306
  89. Thu Oct 19 10:33:19 2023 relations with 7+ large ideals: 45417380
  90. Thu Oct 19 10:33:19 2023 commencing 2-way merge
  91. Thu Oct 19 10:33:50 2023 reduce to 59977695 relation sets and 58296460 unique ideals
  92. Thu Oct 19 10:33:50 2023 commencing full merge
  93. Thu Oct 19 10:48:51 2023 memory use: 7423.9 MB
  94. Thu Oct 19 10:48:55 2023 found 27182520 cycles, need 27132660
  95. Thu Oct 19 10:49:00 2023 weight of 27132660 cycles is about 3093562964 (114.02/cycle)
  96. Thu Oct 19 10:49:00 2023 distribution of cycle lengths:
  97. Thu Oct 19 10:49:00 2023 1 relations: 2148718
  98. Thu Oct 19 10:49:00 2023 2 relations: 2244117
  99. Thu Oct 19 10:49:00 2023 3 relations: 2280334
  100. Thu Oct 19 10:49:00 2023 4 relations: 2152194
  101. Thu Oct 19 10:49:00 2023 5 relations: 2039438
  102. Thu Oct 19 10:49:00 2023 6 relations: 1911432
  103. Thu Oct 19 10:49:00 2023 7 relations: 1776645
  104. Thu Oct 19 10:49:00 2023 8 relations: 1647689
  105. Thu Oct 19 10:49:00 2023 9 relations: 1503449
  106. Thu Oct 19 10:49:00 2023 10+ relations: 9428644
  107. Thu Oct 19 10:49:00 2023 heaviest cycle: 28 relations
  108. Thu Oct 19 10:49:04 2023 commencing cycle optimization
  109. Thu Oct 19 10:49:42 2023 start with 220129231 relations
  110. Thu Oct 19 10:54:29 2023 pruned 7897681 relations
  111. Thu Oct 19 10:54:30 2023 memory use: 6205.0 MB
  112. Thu Oct 19 10:54:30 2023 distribution of cycle lengths:
  113. Thu Oct 19 10:54:30 2023 1 relations: 2148718
  114. Thu Oct 19 10:54:30 2023 2 relations: 2295893
  115. Thu Oct 19 10:54:30 2023 3 relations: 2369090
  116. Thu Oct 19 10:54:30 2023 4 relations: 2224836
  117. Thu Oct 19 10:54:30 2023 5 relations: 2117221
  118. Thu Oct 19 10:54:30 2023 6 relations: 1972892
  119. Thu Oct 19 10:54:30 2023 7 relations: 1834214
  120. Thu Oct 19 10:54:30 2023 8 relations: 1689952
  121. Thu Oct 19 10:54:30 2023 9 relations: 1538497
  122. Thu Oct 19 10:54:30 2023 10+ relations: 8941347
  123. Thu Oct 19 10:54:30 2023 heaviest cycle: 28 relations
  124. Thu Oct 19 10:54:59 2023 RelProcTime: 2539
  125. Thu Oct 19 10:54:59 2023 elapsed time 00:42:20
  126. Thu Oct 19 11:35:43 2023
  127. Thu Oct 19 11:35:43 2023
  128. Thu Oct 19 11:35:43 2023 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI)
  129. Thu Oct 19 11:35:43 2023 random seeds: 8ef33764 7f558458
  130. Thu Oct 19 11:35:43 2023 MPI process 0 of 2
  131. Thu Oct 19 11:35:43 2023 Using 8 OpenMP threads
  132. Thu Oct 19 11:35:43 2023 factoring 50378383223026992266379441189716671364843281946880256422390197679854641762902489241382113694712854294757615353692063222385044101088610982305127166990631846186397622199738053834087602368746423657830038676086492533708930972458301077867617 (236 digits)
  133. Thu Oct 19 11:35:44 2023 no P-1/P+1/ECM available, skipping
  134. Thu Oct 19 11:35:44 2023 commencing number field sieve (236-digit input)
  135. Thu Oct 19 11:35:44 2023 R0: 4232942115750968977678335998443322724568793088
  136. Thu Oct 19 11:35:44 2023 R1: -227373675443232059478759765625
  137. Thu Oct 19 11:35:44 2023 A0: 100
  138. Thu Oct 19 11:35:44 2023 A1: 0
  139. Thu Oct 19 11:35:44 2023 A2: 0
  140. Thu Oct 19 11:35:44 2023 A3: 0
  141. Thu Oct 19 11:35:44 2023 A4: 0
  142. Thu Oct 19 11:35:44 2023 A5: 0
  143. Thu Oct 19 11:35:44 2023 A6: 9
  144. Thu Oct 19 11:35:44 2023 skew 1.49, size 1.421e-13, alpha 0.103, combined = 2.682e-14 rroots = 0
  145. Thu Oct 19 11:35:44 2023
  146. Thu Oct 19 11:35:44 2023 commencing linear algebra
  147. Thu Oct 19 11:35:44 2023 using VBITS=256
  148. Thu Oct 19 11:35:44 2023 initialized process (0,0) of 1 x 2 grid
  149. Thu Oct 19 11:35:45 2023 read 27132660 cycles
  150. Thu Oct 19 11:36:20 2023 cycles contain 94878944 unique relations
  151. Thu Oct 19 11:37:36 2023 read 94878944 relations
  152. Thu Oct 19 11:37:56 2023 using 20 quadratic characters above 4294917295
  153. Thu Oct 19 11:38:29 2023 building initial matrix
  154. Thu Oct 19 11:49:46 2023 memory use: 12010.5 MB
  155. Thu Oct 19 11:49:58 2023 read 27132660 cycles
  156. Thu Oct 19 11:50:01 2023 matrix is 27132483 x 27132660 (12278.3 MB) with weight 3503506516 (129.13/col)
  157. Thu Oct 19 11:50:01 2023 sparse part has weight 2920211305 (107.63/col)
  158. Thu Oct 19 11:53:14 2023 filtering completed in 2 passes
  159. Thu Oct 19 11:53:17 2023 matrix is 27130925 x 27131098 (12278.1 MB) with weight 3503455672 (129.13/col)
  160. Thu Oct 19 11:53:17 2023 sparse part has weight 2920196088 (107.63/col)
  161. Thu Oct 19 11:54:02 2023 matrix starts at (0, 0)
  162. Thu Oct 19 11:54:03 2023 matrix is 27130925 x 13565543 (6139.1 MB) with weight 1751713257 (129.13/col)
  163. Thu Oct 19 11:54:03 2023 sparse part has weight 1460098220 (107.63/col)
  164. Thu Oct 19 11:54:03 2023 saving the first 240 matrix rows for later
  165. Thu Oct 19 11:54:05 2023 matrix includes 256 packed rows
  166. Thu Oct 19 11:54:10 2023 matrix is 27130685 x 13565543 (5690.7 MB) with weight 1339387490 (98.73/col)
  167. Thu Oct 19 11:54:10 2023 sparse part has weight 1274734170 (93.97/col)
  168. Thu Oct 19 11:54:10 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  169. Thu Oct 19 11:54:10 2023 selected card has CUDA arch 8.6
  170. Thu Oct 19 11:55:04 2023 commencing Lanczos iteration
  171. Thu Oct 19 11:55:05 2023 memory use: 14434.5 MB
  172. Thu Oct 19 11:55:51 2023 linear algebra at 0.1%, ETA 11h 3m
  173. Thu Oct 19 11:56:59 2023 checking every 40000 dimensions, checkpointing every 2480000 dimensions
  174. Thu Oct 19 23:22:40 2023 lanczos halted after 106298 iterations (dim = 27130683)
  175. Thu Oct 19 23:23:56 2023 recovered 42 nontrivial dependencies
  176. Thu Oct 19 23:23:57 2023 BLanczosTime: 42493
  177. Thu Oct 19 23:23:57 2023 elapsed time 11:48:14
  178. Thu Oct 19 23:23:57 2023
  179. Thu Oct 19 23:23:57 2023
  180. Thu Oct 19 23:23:57 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  181. Thu Oct 19 23:23:57 2023 random seeds: 64f183b8 16b33be6
  182. Thu Oct 19 23:23:57 2023 Using 16 OpenMP threads
  183. Thu Oct 19 23:23:57 2023 factoring 50378383223026992266379441189716671364843281946880256422390197679854641762902489241382113694712854294757615353692063222385044101088610982305127166990631846186397622199738053834087602368746423657830038676086492533708930972458301077867617 (236 digits)
  184. Thu Oct 19 23:23:58 2023 no P-1/P+1/ECM available, skipping
  185. Thu Oct 19 23:23:58 2023 commencing number field sieve (236-digit input)
  186. Thu Oct 19 23:23:58 2023 R0: 4232942115750968977678335998443322724568793088
  187. Thu Oct 19 23:23:58 2023 R1: -227373675443232059478759765625
  188. Thu Oct 19 23:23:58 2023 A0: 100
  189. Thu Oct 19 23:23:58 2023 A1: 0
  190. Thu Oct 19 23:23:58 2023 A2: 0
  191. Thu Oct 19 23:23:58 2023 A3: 0
  192. Thu Oct 19 23:23:58 2023 A4: 0
  193. Thu Oct 19 23:23:58 2023 A5: 0
  194. Thu Oct 19 23:23:58 2023 A6: 9
  195. Thu Oct 19 23:23:58 2023 skew 1.49, size 1.421e-13, alpha 0.103, combined = 2.682e-14 rroots = 0
  196. Thu Oct 19 23:23:58 2023
  197. Thu Oct 19 23:23:58 2023 commencing square root phase
  198. Thu Oct 19 23:23:58 2023 reading relations for dependency 1
  199. Thu Oct 19 23:23:59 2023 read 13563927 cycles
  200. Thu Oct 19 23:24:17 2023 cycles contain 47437218 unique relations
  201. Thu Oct 19 23:24:52 2023 read 47437218 relations
  202. Thu Oct 19 23:26:58 2023 multiplying 47437218 relations
  203. Thu Oct 19 23:30:51 2023 multiply complete, coefficients have about 1417.90 million bits
  204. Thu Oct 19 23:30:53 2023 initial square root is modulo 2292547
  205. Thu Oct 19 23:36:50 2023 GCD is N, no factor found
  206. Thu Oct 19 23:36:50 2023 reading relations for dependency 2
  207. Thu Oct 19 23:36:51 2023 read 13562839 cycles
  208. Thu Oct 19 23:37:08 2023 cycles contain 47430374 unique relations
  209. Thu Oct 19 23:37:38 2023 read 47430374 relations
  210. Thu Oct 19 23:39:44 2023 multiplying 47430374 relations
  211. Thu Oct 19 23:43:34 2023 multiply complete, coefficients have about 1417.70 million bits
  212. Thu Oct 19 23:43:36 2023 initial square root is modulo 2287891
  213. Thu Oct 19 23:49:35 2023 sqrtTime: 1537
  214. Thu Oct 19 23:49:35 2023 p111 factor: 333771236443763207298156774299367308012778542402683844781576080043989386754001943338840436718844470696695098529
  215. Thu Oct 19 23:49:35 2023 p126 factor: 150936862504373402811492720677148908956582807051886963432389403926991365391719878459367290152398037591048347191839097274075073
  216. Thu Oct 19 23:49:35 2023 elapsed time 00:25:38
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