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Jun 18th, 2024
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  1. Tue Jun 18 00:40:42 2024
  2. Tue Jun 18 00:40:42 2024
  3. Tue Jun 18 00:40:42 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Jun 18 00:40:42 2024 random seeds: 34f0b130 9aef0689
  5. Tue Jun 18 00:40:42 2024 MPI process 0 of 1
  6. Tue Jun 18 00:40:42 2024 Using 32 OpenMP threads
  7. Tue Jun 18 00:40:42 2024 factoring 10560387341917787513692931456365801858910025799338394914839403770367205956589030184477929766423132671223036878071968732423318605801945365762438020060427039799914377512422733 (173 digits)
  8. Tue Jun 18 00:40:42 2024 searching for 15-digit factors
  9. Tue Jun 18 00:40:43 2024 commencing number field sieve (173-digit input)
  10. Tue Jun 18 00:40:43 2024 R0: -4094184031476920708146603600007363
  11. Tue Jun 18 00:40:43 2024 R1: 1745516341297265267
  12. Tue Jun 18 00:40:43 2024 A0: 327254527153074522883044309919570364810760
  13. Tue Jun 18 00:40:43 2024 A1: 2766366925648526547770628138053936
  14. Tue Jun 18 00:40:43 2024 A2: -11453226699886354499046612590
  15. Tue Jun 18 00:40:43 2024 A3: 114049581692422094792
  16. Tue Jun 18 00:40:43 2024 A4: 18159590225697
  17. Tue Jun 18 00:40:43 2024 A5: 9180
  18. Tue Jun 18 00:40:43 2024 skew 27101941.03, size 8.192e-17, alpha -7.102, combined = 2.532e-13 rroots = 5
  19. Tue Jun 18 00:40:43 2024
  20. Tue Jun 18 00:40:43 2024 commencing relation filtering
  21. Tue Jun 18 00:40:43 2024 setting target matrix density to 130.0
  22. Tue Jun 18 00:40:43 2024 estimated available RAM is 257736.5 MB
  23. Tue Jun 18 00:40:43 2024 commencing duplicate removal, pass 1
  24. Tue Jun 18 00:41:05 2024 error -1 reading relation 9336506
  25. Tue Jun 18 00:41:15 2024 error -11 reading relation 12908921
  26. Tue Jun 18 00:42:14 2024 error -1 reading relation 38386437
  27. Tue Jun 18 00:42:35 2024 error -1 reading relation 45798598
  28. Tue Jun 18 00:44:01 2024 error -1 reading relation 72533008
  29. Tue Jun 18 00:44:14 2024 error -1 reading relation 77450979
  30. Tue Jun 18 00:44:49 2024 error -1 reading relation 92622382
  31. Tue Jun 18 00:44:49 2024 error -1 reading relation 92635187
  32. Tue Jun 18 00:44:49 2024 error -1 reading relation 92657109
  33. Tue Jun 18 00:44:49 2024 error -11 reading relation 92690118
  34. Tue Jun 18 00:44:50 2024 error -11 reading relation 92709710
  35. Tue Jun 18 00:44:50 2024 error -1 reading relation 92764949
  36. Tue Jun 18 00:44:50 2024 error -5 reading relation 92771752
  37. Tue Jun 18 00:44:50 2024 error -1 reading relation 92802295
  38. Tue Jun 18 00:44:50 2024 error -1 reading relation 92818929
  39. Tue Jun 18 00:44:50 2024 error -1 reading relation 92822748
  40. Tue Jun 18 00:44:50 2024 error -5 reading relation 92829823
  41. Tue Jun 18 00:45:05 2024 error -1 reading relation 99127299
  42. Tue Jun 18 00:45:06 2024 error -1 reading relation 99376809
  43. Tue Jun 18 00:45:11 2024 error -1 reading relation 102036107
  44. Tue Jun 18 00:45:13 2024 error -1 reading relation 102907311
  45. Tue Jun 18 00:45:53 2024 error -1 reading relation 116059651
  46. Tue Jun 18 00:46:09 2024 error -1 reading relation 123244939
  47. Tue Jun 18 00:46:37 2024 error -1 reading relation 136214842
  48. Tue Jun 18 00:46:51 2024 error -1 reading relation 143254243
  49. Tue Jun 18 00:47:00 2024 error -1 reading relation 146904800
  50. Tue Jun 18 00:47:06 2024 error -1 reading relation 149042048
  51. Tue Jun 18 00:47:14 2024 error -1 reading relation 152612627
  52. Tue Jun 18 00:47:24 2024 error -1 reading relation 155609606
  53. Tue Jun 18 00:47:34 2024 error -1 reading relation 159297031
  54. Tue Jun 18 00:47:37 2024 error -1 reading relation 161031968
  55. Tue Jun 18 00:47:43 2024 skipped 1 relations with b > 2^32
  56. Tue Jun 18 00:47:43 2024 skipped 207 malformed relations
  57. Tue Jun 18 00:47:43 2024 found 41747384 hash collisions in 163874105 relations
  58. Tue Jun 18 00:48:13 2024 added 122124 free relations
  59. Tue Jun 18 00:48:13 2024 commencing duplicate removal, pass 2
  60. Tue Jun 18 00:52:28 2024 found 48720756 duplicates and 115275473 unique relations
  61. Tue Jun 18 00:52:28 2024 memory use: 1321.5 MB
  62. Tue Jun 18 00:52:28 2024 reading ideals above 720000
  63. Tue Jun 18 00:52:28 2024 commencing singleton removal, initial pass
  64. Tue Jun 18 01:01:47 2024 memory use: 2756.0 MB
  65. Tue Jun 18 01:01:47 2024 reading all ideals from disk
  66. Tue Jun 18 01:01:50 2024 memory use: 5451.6 MB
  67. Tue Jun 18 01:02:06 2024 keeping 96702839 ideals with weight <= 200, target excess is 622206
  68. Tue Jun 18 01:02:36 2024 commencing in-memory singleton removal
  69. Tue Jun 18 01:02:39 2024 begin with 115275473 relations and 96702839 unique ideals
  70. Tue Jun 18 01:02:45 2024 reduce to 89790597 relations and 69511904 ideals in 11 passes
  71. Tue Jun 18 01:02:45 2024 max relations containing the same ideal: 179
  72. Tue Jun 18 01:03:17 2024 removing 7762251 relations and 5762251 ideals in 2000000 cliques
  73. Tue Jun 18 01:03:22 2024 commencing in-memory singleton removal
  74. Tue Jun 18 01:03:25 2024 begin with 82028346 relations and 69511904 unique ideals
  75. Tue Jun 18 01:03:32 2024 reduce to 81455619 relations and 63161140 ideals in 7 passes
  76. Tue Jun 18 01:03:32 2024 max relations containing the same ideal: 168
  77. Tue Jun 18 01:04:06 2024 removing 6266625 relations and 4266625 ideals in 2000000 cliques
  78. Tue Jun 18 01:04:09 2024 commencing in-memory singleton removal
  79. Tue Jun 18 01:04:10 2024 begin with 75188994 relations and 63161140 unique ideals
  80. Tue Jun 18 01:04:13 2024 reduce to 74788083 relations and 58483805 ideals in 7 passes
  81. Tue Jun 18 01:04:13 2024 max relations containing the same ideal: 161
  82. Tue Jun 18 01:04:40 2024 removing 5884268 relations and 3884268 ideals in 2000000 cliques
  83. Tue Jun 18 01:04:43 2024 commencing in-memory singleton removal
  84. Tue Jun 18 01:04:45 2024 begin with 68903815 relations and 58483805 unique ideals
  85. Tue Jun 18 01:04:50 2024 reduce to 68539032 relations and 54225846 ideals in 7 passes
  86. Tue Jun 18 01:04:50 2024 max relations containing the same ideal: 154
  87. Tue Jun 18 01:05:18 2024 removing 5710631 relations and 3710631 ideals in 2000000 cliques
  88. Tue Jun 18 01:05:22 2024 commencing in-memory singleton removal
  89. Tue Jun 18 01:05:24 2024 begin with 62828401 relations and 54225846 unique ideals
  90. Tue Jun 18 01:05:28 2024 reduce to 62469789 relations and 50147373 ideals in 6 passes
  91. Tue Jun 18 01:05:28 2024 max relations containing the same ideal: 143
  92. Tue Jun 18 01:05:59 2024 removing 5625371 relations and 3625371 ideals in 2000000 cliques
  93. Tue Jun 18 01:06:02 2024 commencing in-memory singleton removal
  94. Tue Jun 18 01:06:03 2024 begin with 56844418 relations and 50147373 unique ideals
  95. Tue Jun 18 01:06:05 2024 reduce to 56473101 relations and 46140360 ideals in 7 passes
  96. Tue Jun 18 01:06:05 2024 max relations containing the same ideal: 133
  97. Tue Jun 18 01:06:23 2024 removing 5590778 relations and 3590778 ideals in 2000000 cliques
  98. Tue Jun 18 01:06:26 2024 commencing in-memory singleton removal
  99. Tue Jun 18 01:06:27 2024 begin with 50882323 relations and 46140360 unique ideals
  100. Tue Jun 18 01:06:31 2024 reduce to 50483786 relations and 42138901 ideals in 7 passes
  101. Tue Jun 18 01:06:31 2024 max relations containing the same ideal: 124
  102. Tue Jun 18 01:06:53 2024 removing 5602680 relations and 3602680 ideals in 2000000 cliques
  103. Tue Jun 18 01:06:55 2024 commencing in-memory singleton removal
  104. Tue Jun 18 01:06:56 2024 begin with 44881106 relations and 42138901 unique ideals
  105. Tue Jun 18 01:06:58 2024 reduce to 44434024 relations and 38074129 ideals in 6 passes
  106. Tue Jun 18 01:06:58 2024 max relations containing the same ideal: 114
  107. Tue Jun 18 01:07:14 2024 removing 5651976 relations and 3651976 ideals in 2000000 cliques
  108. Tue Jun 18 01:07:17 2024 commencing in-memory singleton removal
  109. Tue Jun 18 01:07:18 2024 begin with 38782048 relations and 38074129 unique ideals
  110. Tue Jun 18 01:07:22 2024 reduce to 38261749 relations and 33882328 ideals in 8 passes
  111. Tue Jun 18 01:07:22 2024 max relations containing the same ideal: 104
  112. Tue Jun 18 01:07:49 2024 removing 5747475 relations and 3747475 ideals in 2000000 cliques
  113. Tue Jun 18 01:07:52 2024 commencing in-memory singleton removal
  114. Tue Jun 18 01:07:52 2024 begin with 32514274 relations and 33882328 unique ideals
  115. Tue Jun 18 01:07:54 2024 reduce to 31877986 relations and 29470726 ideals in 7 passes
  116. Tue Jun 18 01:07:54 2024 max relations containing the same ideal: 95
  117. Tue Jun 18 01:08:05 2024 removing 5124241 relations and 3438740 ideals in 1685501 cliques
  118. Tue Jun 18 01:08:07 2024 commencing in-memory singleton removal
  119. Tue Jun 18 01:08:07 2024 begin with 26753745 relations and 29470726 unique ideals
  120. Tue Jun 18 01:08:08 2024 reduce to 26115536 relations and 25364472 ideals in 9 passes
  121. Tue Jun 18 01:08:08 2024 max relations containing the same ideal: 80
  122. Tue Jun 18 01:08:19 2024 removing 188380 relations and 159075 ideals in 29305 cliques
  123. Tue Jun 18 01:08:20 2024 commencing in-memory singleton removal
  124. Tue Jun 18 01:08:21 2024 begin with 25927156 relations and 25364472 unique ideals
  125. Tue Jun 18 01:08:21 2024 reduce to 25926183 relations and 25204421 ideals in 4 passes
  126. Tue Jun 18 01:08:21 2024 max relations containing the same ideal: 80
  127. Tue Jun 18 01:08:25 2024 relations with 0 large ideals: 2095
  128. Tue Jun 18 01:08:25 2024 relations with 1 large ideals: 7768
  129. Tue Jun 18 01:08:25 2024 relations with 2 large ideals: 112711
  130. Tue Jun 18 01:08:25 2024 relations with 3 large ideals: 728141
  131. Tue Jun 18 01:08:25 2024 relations with 4 large ideals: 2545997
  132. Tue Jun 18 01:08:25 2024 relations with 5 large ideals: 5321239
  133. Tue Jun 18 01:08:25 2024 relations with 6 large ideals: 7016018
  134. Tue Jun 18 01:08:25 2024 relations with 7+ large ideals: 10192214
  135. Tue Jun 18 01:08:25 2024 commencing 2-way merge
  136. Tue Jun 18 01:08:42 2024 reduce to 17535415 relation sets and 16813653 unique ideals
  137. Tue Jun 18 01:08:42 2024 commencing full merge
  138. Tue Jun 18 01:15:39 2024 memory use: 2121.8 MB
  139. Tue Jun 18 01:15:40 2024 found 7667212 cycles, need 7639853
  140. Tue Jun 18 01:15:42 2024 weight of 7639853 cycles is about 993530383 (130.05/cycle)
  141. Tue Jun 18 01:15:42 2024 distribution of cycle lengths:
  142. Tue Jun 18 01:15:42 2024 1 relations: 298297
  143. Tue Jun 18 01:15:42 2024 2 relations: 436500
  144. Tue Jun 18 01:15:42 2024 3 relations: 517486
  145. Tue Jun 18 01:15:42 2024 4 relations: 543987
  146. Tue Jun 18 01:15:42 2024 5 relations: 568977
  147. Tue Jun 18 01:15:42 2024 6 relations: 571686
  148. Tue Jun 18 01:15:42 2024 7 relations: 560909
  149. Tue Jun 18 01:15:42 2024 8 relations: 538025
  150. Tue Jun 18 01:15:42 2024 9 relations: 501123
  151. Tue Jun 18 01:15:42 2024 10+ relations: 3102863
  152. Tue Jun 18 01:15:42 2024 heaviest cycle: 28 relations
  153. Tue Jun 18 01:15:44 2024 commencing cycle optimization
  154. Tue Jun 18 01:16:02 2024 start with 68911503 relations
  155. Tue Jun 18 01:19:03 2024 pruned 3773983 relations
  156. Tue Jun 18 01:19:03 2024 memory use: 1776.9 MB
  157. Tue Jun 18 01:19:03 2024 distribution of cycle lengths:
  158. Tue Jun 18 01:19:03 2024 1 relations: 298297
  159. Tue Jun 18 01:19:03 2024 2 relations: 450372
  160. Tue Jun 18 01:19:03 2024 3 relations: 544296
  161. Tue Jun 18 01:19:03 2024 4 relations: 571866
  162. Tue Jun 18 01:19:03 2024 5 relations: 604102
  163. Tue Jun 18 01:19:03 2024 6 relations: 606345
  164. Tue Jun 18 01:19:03 2024 7 relations: 598299
  165. Tue Jun 18 01:19:03 2024 8 relations: 569724
  166. Tue Jun 18 01:19:03 2024 9 relations: 529007
  167. Tue Jun 18 01:19:03 2024 10+ relations: 2867545
  168. Tue Jun 18 01:19:03 2024 heaviest cycle: 28 relations
  169. Tue Jun 18 01:19:17 2024 RelProcTime: 2314
  170. Tue Jun 18 01:19:17 2024 elapsed time 00:38:35
  171. Tue Jun 18 05:02:20 2024
  172. Tue Jun 18 05:02:20 2024
  173. Tue Jun 18 05:02:20 2024 Msieve v. 1.54 (SVN Unversioned directory)
  174. Tue Jun 18 05:02:20 2024 random seeds: 73d4a067 b6cbe470
  175. Tue Jun 18 05:02:20 2024 MPI process 0 of 1
  176. Tue Jun 18 05:02:20 2024 Using 64 OpenMP threads
  177. Tue Jun 18 05:02:20 2024 factoring 10560387341917787513692931456365801858910025799338394914839403770367205956589030184477929766423132671223036878071968732423318605801945365762438020060427039799914377512422733 (173 digits)
  178. Tue Jun 18 05:02:21 2024 searching for 15-digit factors
  179. Tue Jun 18 05:02:21 2024 commencing number field sieve (173-digit input)
  180. Tue Jun 18 05:02:21 2024 R0: -4094184031476920708146603600007363
  181. Tue Jun 18 05:02:21 2024 R1: 1745516341297265267
  182. Tue Jun 18 05:02:21 2024 A0: 327254527153074522883044309919570364810760
  183. Tue Jun 18 05:02:21 2024 A1: 2766366925648526547770628138053936
  184. Tue Jun 18 05:02:21 2024 A2: -11453226699886354499046612590
  185. Tue Jun 18 05:02:21 2024 A3: 114049581692422094792
  186. Tue Jun 18 05:02:21 2024 A4: 18159590225697
  187. Tue Jun 18 05:02:21 2024 A5: 9180
  188. Tue Jun 18 05:02:21 2024 skew 27101941.03, size 8.192e-17, alpha -7.102, combined = 2.532e-13 rroots = 5
  189. Tue Jun 18 05:02:21 2024
  190. Tue Jun 18 05:02:21 2024 commencing linear algebra
  191. Tue Jun 18 05:02:21 2024 using VBITS=256
  192. Tue Jun 18 05:02:21 2024 initialized process (0,0) of 1 x 1 grid
  193. Tue Jun 18 05:02:22 2024 read 7639853 cycles
  194. Tue Jun 18 05:02:34 2024 cycles contain 25552666 unique relations
  195. Tue Jun 18 05:04:43 2024 read 25552666 relations
  196. Tue Jun 18 05:04:45 2024 using 20 quadratic characters above 4294917295
  197. Tue Jun 18 05:04:46 2024 building initial matrix
  198. Tue Jun 18 05:09:36 2024 memory use: 3598.7 MB
  199. Tue Jun 18 05:09:41 2024 read 7639853 cycles
  200. Tue Jun 18 05:09:42 2024 matrix is 7639676 x 7639853 (3824.4 MB) with weight 1160255186 (151.87/col)
  201. Tue Jun 18 05:09:42 2024 sparse part has weight 910872014 (119.23/col)
  202. Tue Jun 18 05:11:02 2024 filtering completed in 2 passes
  203. Tue Jun 18 05:11:03 2024 matrix is 7639544 x 7639721 (3824.4 MB) with weight 1160247895 (151.87/col)
  204. Tue Jun 18 05:11:03 2024 sparse part has weight 910869255 (119.23/col)
  205. Tue Jun 18 05:11:47 2024 matrix starts at (0, 0)
  206. Tue Jun 18 05:11:48 2024 matrix is 7639544 x 7639721 (3824.4 MB) with weight 1160247895 (151.87/col)
  207. Tue Jun 18 05:11:48 2024 sparse part has weight 910869255 (119.23/col)
  208. Tue Jun 18 05:11:48 2024 saving the first 240 matrix rows for later
  209. Tue Jun 18 05:11:49 2024 matrix includes 256 packed rows
  210. Tue Jun 18 05:11:52 2024 matrix is 7639304 x 7639721 (3443.2 MB) with weight 833701998 (109.13/col)
  211. Tue Jun 18 05:11:52 2024 sparse part has weight 780369147 (102.15/col)
  212. Tue Jun 18 05:11:52 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  213. Tue Jun 18 05:12:08 2024 commencing Lanczos iteration (64 threads)
  214. Tue Jun 18 05:12:08 2024 memory use: 4876.2 MB
  215. Tue Jun 18 05:13:20 2024 linear algebra at 0.4%, ETA 4h49m
  216. Tue Jun 18 05:14:58 2024 checking every 20000 dimensions, checkpointing every 1660000 dimensions
  217. Tue Jun 18 09:45:01 2024 lanczos halted after 29932 iterations (dim = 7639302)
  218. Tue Jun 18 09:45:33 2024 recovered 27 nontrivial dependencies
  219. Tue Jun 18 09:45:34 2024 BLanczosTime: 16993
  220. Tue Jun 18 09:45:34 2024
  221. Tue Jun 18 09:45:34 2024 commencing square root phase
  222. Tue Jun 18 09:45:34 2024 reading relations for dependency 1
  223. Tue Jun 18 09:45:35 2024 read 3818051 cycles
  224. Tue Jun 18 09:45:40 2024 cycles contain 12776334 unique relations
  225. Tue Jun 18 09:47:45 2024 read 12776334 relations
  226. Tue Jun 18 09:48:31 2024 multiplying 12776334 relations
  227. Tue Jun 18 09:49:43 2024 multiply complete, coefficients have about 716.94 million bits
  228. Tue Jun 18 09:49:44 2024 initial square root is modulo 2704189
  229. Tue Jun 18 09:54:02 2024 sqrtTime: 508
  230. Tue Jun 18 09:54:02 2024 p75 factor: 207438562630405388463143105676271890301910063314277612075484378467435024323
  231. Tue Jun 18 09:54:02 2024 p98 factor: 50908506152413411526649726687442840160954676133170060712549663767715292155969782305996838734474671
  232. Tue Jun 18 09:54:02 2024 elapsed time 04:51:42
  233.  
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