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Serge_Batalov

11131_283.msieve.log

Serge_Batalov
Nov 17th, 2024
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  1. Found 320537245 unique, 89119055 duplicate, and 1 bad relations.
  2. Largest dimension used: 1120 of 1800
  3. Average dimension used: 978.2 of 1800
  4.  
  5. Sat Nov 16 17:41:30 2024
  6. Sat Nov 16 17:41:30 2024 Msieve v. 1.54 (SVN msieve-lacuda-nfsathome-cuda11.5)
  7. Sat Nov 16 17:41:30 2024 random seeds: 18f762d1 2440ac68
  8. Sat Nov 16 17:41:30 2024 factoring 179213135200019576698363753593816619529017004843856139167224944760559286533303483309358051070109231059582251156386473026660248331197388894461081047105057166108135152064600863 (174 digits)
  9. Sat Nov 16 17:41:30 2024 no P-1/P+1/ECM available, skipping
  10. Sat Nov 16 17:41:30 2024 commencing number field sieve (174-digit input)
  11. Sat Nov 16 17:41:30 2024 R0: -3235508949918997376540722683237575
  12. Sat Nov 16 17:41:30 2024 R1: 497036865870312941487487
  13. Sat Nov 16 17:41:30 2024 A0: 481249864292311113922261261951428717540
  14. Sat Nov 16 17:41:30 2024 A1: -418513812515152272299781968528667
  15. Sat Nov 16 17:41:30 2024 A2: -936992402329937059908716346
  16. Sat Nov 16 17:41:30 2024 A3: 79385320444353079391
  17. Sat Nov 16 17:41:30 2024 A4: 34170049279780
  18. Sat Nov 16 17:41:30 2024 A5: 5049000
  19. Sat Nov 16 17:41:30 2024 skew 3312222.03, size 5.319e-17, alpha -5.597, combined = 2.010e-13 rroots = 3
  20. Sat Nov 16 17:41:30 2024
  21. Sat Nov 16 17:41:30 2024 commencing relation filtering
  22. Sat Nov 16 17:41:30 2024 setting target matrix density to 136.0
  23. Sat Nov 16 17:41:30 2024 estimated available RAM is 1031034.1 MB
  24. Sat Nov 16 17:41:30 2024 commencing duplicate removal, pass 1
  25. Sat Nov 16 18:28:52 2024 skipped 1 relations with b > 2^32
  26. Sat Nov 16 18:28:52 2024 skipped 2 relations with composite factors
  27. Sat Nov 16 18:28:52 2024 found 11390264 hash collisions in 320537240 relations
  28. Sat Nov 16 18:29:18 2024 added 121552 free relations
  29. Sat Nov 16 18:29:18 2024 commencing duplicate removal, pass 2
  30. Sat Nov 16 18:34:47 2024 found 0 duplicates and 320658792 unique relations
  31. Sat Nov 16 18:34:47 2024 memory use: 1044.8 MB
  32. Sat Nov 16 18:34:47 2024 reading ideals above 720000
  33. Sat Nov 16 18:34:47 2024 commencing singleton removal, initial pass
  34. Sat Nov 16 18:41:49 2024 lanczos halted after 106600 iterations (dim = 27207417)
  35. Sat Nov 16 18:43:30 2024 recovered 36 nontrivial dependencies
  36. Sat Nov 16 18:43:31 2024 BLanczosTime: 72380
  37. Sat Nov 16 18:43:31 2024
  38. Sat Nov 16 18:43:31 2024 commencing square root phase
  39. Sat Nov 16 18:43:31 2024 handling dependencies 1 to 64
  40. Sat Nov 16 18:43:31 2024 reading relations for dependency 1
  41. Sat Nov 16 18:43:37 2024 read 13602357 cycles
  42. Sat Nov 16 18:44:01 2024 cycles contain 47439918 unique relations
  43. Sat Nov 16 19:00:15 2024 read 47439918 relations
  44. Sat Nov 16 19:03:30 2024 multiplying 47439918 relations
  45. Sat Nov 16 19:43:28 2024 multiply complete, coefficients have about 1543.56 million bits
  46. Sat Nov 16 19:43:32 2024 initial square root is modulo 8394643
  47. Sat Nov 16 19:47:00 2024 memory use: 6024.0 MB
  48. Sat Nov 16 19:47:01 2024 reading all ideals from disk
  49. Sat Nov 16 19:47:05 2024 memory use: 15273.0 MB
  50. Sat Nov 16 19:47:30 2024 keeping 298594477 ideals with weight <= 200, target excess is 1960825
  51. Sat Nov 16 19:48:05 2024 commencing in-memory singleton removal
  52. Sat Nov 16 19:48:39 2024 begin with 320658792 relations and 298594477 unique ideals
  53. Sat Nov 16 19:51:43 2024 reduce to 181614567 relations and 142879507 ideals in 14 passes
  54. Sat Nov 16 19:51:43 2024 max relations containing the same ideal: 147
  55. Sat Nov 16 19:52:59 2024 removing 12237345 relations and 10237345 ideals in 2000000 cliques
  56. Sat Nov 16 19:53:08 2024 commencing in-memory singleton removal
  57. Sat Nov 16 19:53:26 2024 begin with 169377222 relations and 142879507 unique ideals
  58. Sat Nov 16 19:54:46 2024 reduce to 168794017 relations and 132050708 ideals in 8 passes
  59. Sat Nov 16 19:54:46 2024 max relations containing the same ideal: 141
  60. Sat Nov 16 19:55:44 2024 removing 9190869 relations and 7190869 ideals in 2000000 cliques
  61. Sat Nov 16 19:55:50 2024 commencing in-memory singleton removal
  62. Sat Nov 16 19:56:02 2024 begin with 159603148 relations and 132050708 unique ideals
  63. Sat Nov 16 19:57:00 2024 reduce to 159220930 relations and 124472983 ideals in 8 passes
  64. Sat Nov 16 19:57:00 2024 max relations containing the same ideal: 134
  65. Sat Nov 16 19:57:53 2024 removing 8253659 relations and 6253659 ideals in 2000000 cliques
  66. Sat Nov 16 19:57:59 2024 commencing in-memory singleton removal
  67. Sat Nov 16 19:58:10 2024 begin with 150967271 relations and 124472983 unique ideals
  68. Sat Nov 16 19:59:04 2024 reduce to 150636198 relations and 117884293 ideals in 8 passes
  69. Sat Nov 16 19:59:04 2024 max relations containing the same ideal: 130
  70. Sat Nov 16 19:59:55 2024 removing 7745091 relations and 5745091 ideals in 2000000 cliques
  71. Sat Nov 16 20:00:00 2024 commencing in-memory singleton removal
  72. Sat Nov 16 20:00:10 2024 begin with 142891107 relations and 117884293 unique ideals
  73. Sat Nov 16 20:01:02 2024 reduce to 142582089 relations and 111826352 ideals in 8 passes
  74. Sat Nov 16 20:01:02 2024 max relations containing the same ideal: 124
  75. Sat Nov 16 20:01:50 2024 removing 7427057 relations and 5427057 ideals in 2000000 cliques
  76. Sat Nov 16 20:01:54 2024 commencing in-memory singleton removal
  77. Sat Nov 16 20:02:04 2024 begin with 135155032 relations and 111826352 unique ideals
  78. Sat Nov 16 20:02:47 2024 reduce to 134858672 relations and 106099100 ideals in 7 passes
  79. Sat Nov 16 20:02:47 2024 max relations containing the same ideal: 121
  80. Sat Nov 16 20:03:32 2024 removing 7199564 relations and 5199564 ideals in 2000000 cliques
  81. Sat Nov 16 20:03:37 2024 commencing in-memory singleton removal
  82. Sat Nov 16 20:03:47 2024 begin with 127659108 relations and 106099100 unique ideals
  83. Sat Nov 16 20:04:26 2024 reduce to 127368525 relations and 100605027 ideals in 7 passes
  84. Sat Nov 16 20:04:26 2024 max relations containing the same ideal: 117
  85. Sat Nov 16 20:05:08 2024 removing 7038880 relations and 5038880 ideals in 2000000 cliques
  86. Sat Nov 16 20:05:12 2024 commencing in-memory singleton removal
  87. Sat Nov 16 20:05:21 2024 begin with 120329645 relations and 100605027 unique ideals
  88. Sat Nov 16 20:06:04 2024 reduce to 120039326 relations and 95271522 ideals in 8 passes
  89. Sat Nov 16 20:06:04 2024 max relations containing the same ideal: 111
  90. Sat Nov 16 20:06:43 2024 removing 6914103 relations and 4914103 ideals in 2000000 cliques
  91. Sat Nov 16 20:06:47 2024 commencing in-memory singleton removal
  92. Sat Nov 16 20:06:55 2024 begin with 113125223 relations and 95271522 unique ideals
  93. Sat Nov 16 20:07:30 2024 reduce to 112829350 relations and 90057131 ideals in 7 passes
  94. Sat Nov 16 20:07:30 2024 max relations containing the same ideal: 107
  95. Sat Nov 16 20:08:07 2024 removing 6828043 relations and 4828043 ideals in 2000000 cliques
  96. Sat Nov 16 20:08:11 2024 commencing in-memory singleton removal
  97. Sat Nov 16 20:08:19 2024 begin with 106001307 relations and 90057131 unique ideals
  98. Sat Nov 16 20:08:46 2024 reduce to 105698553 relations and 84921469 ideals in 6 passes
  99. Sat Nov 16 20:08:46 2024 max relations containing the same ideal: 100
  100. Sat Nov 16 20:09:21 2024 removing 6765646 relations and 4765646 ideals in 2000000 cliques
  101. Sat Nov 16 20:09:25 2024 commencing in-memory singleton removal
  102. Sat Nov 16 20:09:32 2024 begin with 98932907 relations and 84921469 unique ideals
  103. Sat Nov 16 20:10:02 2024 reduce to 98617278 relations and 79834798 ideals in 7 passes
  104. Sat Nov 16 20:10:02 2024 max relations containing the same ideal: 97
  105. Sat Nov 16 20:10:35 2024 removing 6717423 relations and 4717423 ideals in 2000000 cliques
  106. Sat Nov 16 20:10:39 2024 commencing in-memory singleton removal
  107. Sat Nov 16 20:10:46 2024 begin with 91899855 relations and 79834798 unique ideals
  108. Sat Nov 16 20:11:13 2024 reduce to 91569677 relations and 74781108 ideals in 7 passes
  109. Sat Nov 16 20:11:13 2024 max relations containing the same ideal: 93
  110. Sat Nov 16 20:11:44 2024 removing 6697358 relations and 4697358 ideals in 2000000 cliques
  111. Sat Nov 16 20:11:48 2024 commencing in-memory singleton removal
  112. Sat Nov 16 20:11:54 2024 begin with 84872319 relations and 74781108 unique ideals
  113. Sat Nov 16 20:12:18 2024 reduce to 84519815 relations and 69724401 ideals in 7 passes
  114. Sat Nov 16 20:12:18 2024 max relations containing the same ideal: 88
  115. Sat Nov 16 20:12:47 2024 removing 6693377 relations and 4693377 ideals in 2000000 cliques
  116. Sat Nov 16 20:12:50 2024 commencing in-memory singleton removal
  117. Sat Nov 16 20:12:56 2024 begin with 77826438 relations and 69724401 unique ideals
  118. Sat Nov 16 20:13:18 2024 reduce to 77444790 relations and 64641486 ideals in 7 passes
  119. Sat Nov 16 20:13:18 2024 max relations containing the same ideal: 83
  120. Sat Nov 16 20:13:45 2024 removing 6712792 relations and 4712792 ideals in 2000000 cliques
  121. Sat Nov 16 20:13:48 2024 commencing in-memory singleton removal
  122. Sat Nov 16 20:13:53 2024 begin with 70731998 relations and 64641486 unique ideals
  123. Sat Nov 16 20:14:14 2024 reduce to 70312167 relations and 59499586 ideals in 7 passes
  124. Sat Nov 16 20:14:14 2024 max relations containing the same ideal: 77
  125. Sat Nov 16 20:14:39 2024 removing 6749812 relations and 4749812 ideals in 2000000 cliques
  126. Sat Nov 16 20:14:42 2024 commencing in-memory singleton removal
  127. Sat Nov 16 20:14:46 2024 begin with 63562355 relations and 59499586 unique ideals
  128. Sat Nov 16 20:15:07 2024 reduce to 63092637 relations and 54268474 ideals in 8 passes
  129. Sat Nov 16 20:15:07 2024 max relations containing the same ideal: 72
  130. Sat Nov 16 20:15:29 2024 removing 6828838 relations and 4828838 ideals in 2000000 cliques
  131. Sat Nov 16 20:15:32 2024 commencing in-memory singleton removal
  132. Sat Nov 16 20:15:36 2024 begin with 56263799 relations and 54268474 unique ideals
  133. Sat Nov 16 20:15:51 2024 reduce to 55724058 relations and 48885310 ideals in 7 passes
  134. Sat Nov 16 20:15:51 2024 max relations containing the same ideal: 66
  135. Sat Nov 16 20:16:11 2024 removing 6934283 relations and 4934283 ideals in 2000000 cliques
  136. Sat Nov 16 20:16:13 2024 commencing in-memory singleton removal
  137. Sat Nov 16 20:16:16 2024 begin with 48789775 relations and 48885310 unique ideals
  138. Sat Nov 16 20:16:33 2024 reduce to 48146720 relations and 43288438 ideals in 9 passes
  139. Sat Nov 16 20:16:33 2024 max relations containing the same ideal: 61
  140. Sat Nov 16 20:16:50 2024 removing 7092744 relations and 5092744 ideals in 2000000 cliques
  141. Sat Nov 16 20:16:53 2024 commencing in-memory singleton removal
  142. Sat Nov 16 20:16:55 2024 begin with 41053976 relations and 43288438 unique ideals
  143. Sat Nov 16 20:17:07 2024 reduce to 40251453 relations and 37365115 ideals in 8 passes
  144. Sat Nov 16 20:17:07 2024 max relations containing the same ideal: 57
  145. Sat Nov 16 20:17:22 2024 removing 2879088 relations and 2267308 ideals in 611780 cliques
  146. Sat Nov 16 20:17:24 2024 commencing in-memory singleton removal
  147. Sat Nov 16 20:17:26 2024 begin with 37372365 relations and 37365115 unique ideals
  148. Sat Nov 16 20:17:36 2024 reduce to 37222347 relations and 34945893 ideals in 8 passes
  149. Sat Nov 16 20:17:36 2024 max relations containing the same ideal: 53
  150. Sat Nov 16 20:17:55 2024 relations with 0 large ideals: 18080
  151. Sat Nov 16 20:17:55 2024 relations with 1 large ideals: 208759
  152. Sat Nov 16 20:17:55 2024 relations with 2 large ideals: 1359884
  153. Sat Nov 16 20:17:55 2024 relations with 3 large ideals: 4622720
  154. Sat Nov 16 20:17:55 2024 relations with 4 large ideals: 8968337
  155. Sat Nov 16 20:17:55 2024 relations with 5 large ideals: 10412879
  156. Sat Nov 16 20:17:55 2024 relations with 6 large ideals: 7444490
  157. Sat Nov 16 20:17:55 2024 relations with 7+ large ideals: 4187198
  158. Sat Nov 16 20:17:55 2024 commencing 2-way merge
  159. Sat Nov 16 20:18:13 2024 reduce to 22520438 relation sets and 20243984 unique ideals
  160. Sat Nov 16 20:18:13 2024 commencing full merge
  161. Sat Nov 16 20:20:44 2024 cycles contain 47435744 unique relations
  162. Sat Nov 16 20:23:38 2024 memory use: 2359.7 MB
  163. Sat Nov 16 20:23:39 2024 found 9635128 cycles, need 9454184
  164. Sat Nov 16 20:23:43 2024 weight of 9454184 cycles is about 1286452071 (136.07/cycle)
  165. Sat Nov 16 20:23:43 2024 distribution of cycle lengths:
  166. Sat Nov 16 20:23:43 2024 1 relations: 471953
  167. Sat Nov 16 20:23:43 2024 2 relations: 508174
  168. Sat Nov 16 20:23:43 2024 3 relations: 557434
  169. Sat Nov 16 20:23:43 2024 4 relations: 573658
  170. Sat Nov 16 20:23:43 2024 5 relations: 601612
  171. Sat Nov 16 20:23:43 2024 6 relations: 612183
  172. Sat Nov 16 20:23:43 2024 7 relations: 613877
  173. Sat Nov 16 20:23:43 2024 8 relations: 611365
  174. Sat Nov 16 20:23:43 2024 9 relations: 591461
  175. Sat Nov 16 20:23:43 2024 10+ relations: 4312467
  176. Sat Nov 16 20:23:43 2024 heaviest cycle: 28 relations
  177. Sat Nov 16 20:23:45 2024 commencing cycle optimization
  178. Sat Nov 16 20:24:00 2024 start with 89780295 relations
  179. Sat Nov 16 20:26:47 2024 pruned 4158734 relations
  180. Sat Nov 16 20:26:48 2024 memory use: 2410.0 MB
  181. Sat Nov 16 20:26:48 2024 distribution of cycle lengths:
  182. Sat Nov 16 20:26:48 2024 1 relations: 471953
  183. Sat Nov 16 20:26:48 2024 2 relations: 521416
  184. Sat Nov 16 20:26:48 2024 3 relations: 579988
  185. Sat Nov 16 20:26:48 2024 4 relations: 598240
  186. Sat Nov 16 20:26:48 2024 5 relations: 632574
  187. Sat Nov 16 20:26:48 2024 6 relations: 643904
  188. Sat Nov 16 20:26:48 2024 7 relations: 650434
  189. Sat Nov 16 20:26:48 2024 8 relations: 645936
  190. Sat Nov 16 20:26:48 2024 9 relations: 626501
  191. Sat Nov 16 20:26:48 2024 10+ relations: 4083238
  192. Sat Nov 16 20:26:48 2024 heaviest cycle: 27 relations
  193. Sat Nov 16 20:27:17 2024 RelProcTime: 9947
  194. Sat Nov 16 20:27:17 2024
  195. Sat Nov 16 20:27:17 2024 commencing linear algebra
  196. Sat Nov 16 20:27:17 2024 using VBITS=256
  197. Sat Nov 16 20:27:18 2024 read 9454184 cycles
  198. Sat Nov 16 20:27:40 2024 cycles contain 35897331 unique relations
  199. Sat Nov 16 20:36:32 2024 read 35897331 relations
  200. Sat Nov 16 20:37:08 2024 read 47435744 relations
  201. Sat Nov 16 20:37:35 2024 using 20 quadratic characters above 4294917295
  202. Sat Nov 16 20:40:38 2024 building initial matrix
  203. Sat Nov 16 20:41:15 2024 multiplying 47435744 relations
  204. Sat Nov 16 20:53:16 2024 memory use: 4928.3 MB
  205. Sat Nov 16 20:53:22 2024 read 9454184 cycles
  206. Sat Nov 16 20:53:23 2024 matrix is 9454006 x 9454184 (4935.9 MB) with weight 1494431008 (158.07/col)
  207. Sat Nov 16 20:53:23 2024 sparse part has weight 1189925005 (125.86/col)
  208. Sat Nov 16 20:55:39 2024 filtering completed in 2 passes
  209. Sat Nov 16 20:55:41 2024 matrix is 9453153 x 9453331 (4935.8 MB) with weight 1494378695 (158.08/col)
  210. Sat Nov 16 20:55:41 2024 sparse part has weight 1189901351 (125.87/col)
  211. Sat Nov 16 20:59:35 2024 matrix starts at (0, 0)
  212. Sat Nov 16 20:59:36 2024 matrix is 9453153 x 9453331 (4935.8 MB) with weight 1494378695 (158.08/col)
  213. Sat Nov 16 20:59:36 2024 sparse part has weight 1189901351 (125.87/col)
  214. Sat Nov 16 20:59:36 2024 saving the first 240 matrix rows for later
  215. Sat Nov 16 20:59:39 2024 matrix includes 256 packed rows
  216. Sat Nov 16 20:59:42 2024 matrix is 9452913 x 9453331 (4474.1 MB) with weight 1087419846 (115.03/col)
  217. Sat Nov 16 20:59:42 2024 sparse part has weight 1021592929 (108.07/col)
  218. Sat Nov 16 20:59:42 2024 using GPU 0 (NVIDIA L40S)
  219. Sat Nov 16 20:59:42 2024 selected card has CUDA arch 8.9
  220. Sat Nov 16 21:01:04 2024 commencing Lanczos iteration
  221. Sat Nov 16 21:01:04 2024 memory use: 10174.2 MB
  222. Sat Nov 16 21:01:31 2024 linear algebra at 0.3%, ETA 2h13m
  223. Sat Nov 16 21:02:11 2024 checking every 30000 dimensions, checkpointing every 2100000 dimensions
  224. Sat Nov 16 23:17:36 2024 lanczos halted after 37036 iterations (dim = 9452913)
  225. Sat Nov 16 23:18:17 2024 recovered 32 nontrivial dependencies
  226. Sat Nov 16 23:18:17 2024 BLanczosTime: 10260
  227. Sat Nov 16 23:18:17 2024
  228. Sat Nov 16 23:18:17 2024 commencing square root phase
  229. Sat Nov 16 23:18:17 2024 handling dependencies 1 to 64
  230. Sat Nov 16 23:18:17 2024 reading relations for dependency 1
  231. Sat Nov 16 23:18:19 2024 read 4729116 cycles
  232. Sat Nov 16 23:18:28 2024 cycles contain 17953530 unique relations
  233. Sat Nov 16 23:24:45 2024 read 17953530 relations
  234. Sat Nov 16 23:25:49 2024 multiplying 17953530 relations
  235. Sat Nov 16 23:44:38 2024 multiply complete, coefficients have about 1066.07 million bits
  236. Sat Nov 16 23:44:42 2024 initial square root is modulo 60661
  237. Sun Nov 17 00:02:40 2024 sqrtTime: 2663
  238. Sun Nov 17 00:02:40 2024 p80 factor: 73243120863021056505193464866455356106294331796722292389669171940503023844748841
  239. Sun Nov 17 00:02:40 2024 p94 factor: 2446825491436706355420389377657912196164105124666163353088104733460162811491856463919561332743
  240. Sun Nov 17 00:02:40 2024 elapsed time 06:21:10
  241.  
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