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Msieve log of 7m4_307

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Jan 12th, 2022
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  1. Tue Jan 4 10:50:41 2022
  2. Tue Jan 4 10:50:41 2022
  3. Tue Jan 4 10:50:41 2022 Msieve v. 1.53 (SVN unknown)
  4. Tue Jan 4 10:50:41 2022 random seeds: 6e762a24 e04b2de7
  5. Tue Jan 4 10:50:41 2022 factoring 5131286135063869878217550946868084220259625422090569880883049521468852367727407448778601993823236180709694711765989174801988503297203234779609807339948954685580345333260545981320260706095636820779286395877934963835902091748711289467364284404392052611 (250 digits)
  6. Tue Jan 4 10:50:43 2022 searching for 15-digit factors
  7. Tue Jan 4 10:50:43 2022 commencing number field sieve (250-digit input)
  8. Tue Jan 4 10:50:43 2022 R0: 12589255298531885026341962383987545444758743
  9. Tue Jan 4 10:50:43 2022 R1: -5070602400912917605986812821504
  10. Tue Jan 4 10:50:43 2022 A0: -4
  11. Tue Jan 4 10:50:43 2022 A1: 0
  12. Tue Jan 4 10:50:43 2022 A2: 0
  13. Tue Jan 4 10:50:43 2022 A3: 0
  14. Tue Jan 4 10:50:43 2022 A4: 0
  15. Tue Jan 4 10:50:43 2022 A5: 0
  16. Tue Jan 4 10:50:43 2022 A6: 7
  17. Tue Jan 4 10:50:43 2022 skew 0.91, size 8.701e-13, alpha 1.422, combined = 1.040e-13 rroots = 2
  18. Tue Jan 4 10:50:43 2022
  19. Tue Jan 4 10:50:43 2022 commencing relation filtering
  20. Tue Jan 4 10:50:43 2022 setting target matrix density to 120.0
  21. Tue Jan 4 10:50:43 2022 estimated available RAM is 32721.3 MB
  22. Tue Jan 4 10:50:43 2022 commencing duplicate removal, pass 1
  23. Tue Jan 4 10:51:31 2022 error -5 reading relation 3495574
  24. Tue Jan 4 10:52:18 2022 error -9 reading relation 6957441
  25. Tue Jan 4 10:52:18 2022 error -15 reading relation 6958865
  26. Tue Jan 4 10:54:38 2022 error -5 reading relation 17198069
  27. Tue Jan 4 10:55:20 2022 error -9 reading relation 20261196
  28. Tue Jan 4 10:55:50 2022 error -9 reading relation 22465919
  29. Tue Jan 4 10:56:20 2022 error -9 reading relation 24676803
  30. Tue Jan 4 11:48:54 2022 error -1 reading relation 255091876
  31. Tue Jan 4 11:49:10 2022 error -9 reading relation 256285110
  32. Tue Jan 4 11:49:10 2022 error -5 reading relation 256287793
  33. Tue Jan 4 11:49:10 2022 error -9 reading relation 256287898
  34. Tue Jan 4 11:49:38 2022 error -9 reading relation 258435993
  35. Tue Jan 4 11:49:56 2022 skipped 917 relations with b > 2^32
  36. Tue Jan 4 11:49:56 2022 skipped 85 relations with composite factors
  37. Tue Jan 4 11:49:56 2022 found 54959780 hash collisions in 259765940 relations
  38. Tue Jan 4 11:50:25 2022 added 1218581 free relations
  39. Tue Jan 4 11:50:25 2022 commencing duplicate removal, pass 2
  40. Tue Jan 4 11:53:27 2022 found 56558433 duplicates and 204426088 unique relations
  41. Tue Jan 4 11:53:27 2022 memory use: 1321.5 MB
  42. Tue Jan 4 11:53:27 2022 reading ideals above 189988864
  43. Tue Jan 4 11:53:27 2022 commencing singleton removal, initial pass
  44. Tue Jan 4 12:27:29 2022 memory use: 3012.0 MB
  45. Tue Jan 4 12:27:29 2022 reading all ideals from disk
  46. Tue Jan 4 12:27:31 2022 memory use: 3497.2 MB
  47. Tue Jan 4 12:27:38 2022 commencing in-memory singleton removal
  48. Tue Jan 4 12:27:46 2022 begin with 204426088 relations and 161634025 unique ideals
  49. Tue Jan 4 12:29:04 2022 reduce to 144119545 relations and 96082022 ideals in 12 passes
  50. Tue Jan 4 12:29:04 2022 max relations containing the same ideal: 34
  51. Tue Jan 4 12:29:16 2022 reading ideals above 720000
  52. Tue Jan 4 12:29:17 2022 commencing singleton removal, initial pass
  53. Tue Jan 4 12:58:18 2022 memory use: 3012.0 MB
  54. Tue Jan 4 12:58:18 2022 reading all ideals from disk
  55. Tue Jan 4 12:58:27 2022 memory use: 5953.7 MB
  56. Tue Jan 4 12:58:45 2022 keeping 116421258 ideals with weight <= 200, target excess is 766859
  57. Tue Jan 4 12:59:05 2022 commencing in-memory singleton removal
  58. Tue Jan 4 12:59:19 2022 begin with 144119545 relations and 116421258 unique ideals
  59. Tue Jan 4 13:01:19 2022 reduce to 144110222 relations and 116411934 ideals in 8 passes
  60. Tue Jan 4 13:01:19 2022 max relations containing the same ideal: 200
  61. Tue Jan 4 13:02:30 2022 removing 10506550 relations and 8506550 ideals in 2000000 cliques
  62. Tue Jan 4 13:02:34 2022 commencing in-memory singleton removal
  63. Tue Jan 4 13:02:48 2022 begin with 133603672 relations and 116411934 unique ideals
  64. Tue Jan 4 13:04:39 2022 reduce to 132994412 relations and 107285243 ideals in 8 passes
  65. Tue Jan 4 13:04:39 2022 max relations containing the same ideal: 198
  66. Tue Jan 4 13:05:43 2022 removing 8090896 relations and 6090896 ideals in 2000000 cliques
  67. Tue Jan 4 13:05:46 2022 commencing in-memory singleton removal
  68. Tue Jan 4 13:05:59 2022 begin with 124903516 relations and 107285243 unique ideals
  69. Tue Jan 4 13:07:29 2022 reduce to 124493075 relations and 100777639 ideals in 7 passes
  70. Tue Jan 4 13:07:29 2022 max relations containing the same ideal: 192
  71. Tue Jan 4 13:08:31 2022 removing 7377028 relations and 5377028 ideals in 2000000 cliques
  72. Tue Jan 4 13:08:34 2022 commencing in-memory singleton removal
  73. Tue Jan 4 13:08:46 2022 begin with 117116047 relations and 100777639 unique ideals
  74. Tue Jan 4 13:10:11 2022 reduce to 116756854 relations and 95035701 ideals in 7 passes
  75. Tue Jan 4 13:10:11 2022 max relations containing the same ideal: 183
  76. Tue Jan 4 13:11:12 2022 removing 7016610 relations and 5016610 ideals in 2000000 cliques
  77. Tue Jan 4 13:11:14 2022 commencing in-memory singleton removal
  78. Tue Jan 4 13:11:26 2022 begin with 109740244 relations and 95035701 unique ideals
  79. Tue Jan 4 13:12:46 2022 reduce to 109397932 relations and 89671259 ideals in 7 passes
  80. Tue Jan 4 13:12:46 2022 max relations containing the same ideal: 177
  81. Tue Jan 4 13:13:43 2022 removing 6800088 relations and 4800088 ideals in 2000000 cliques
  82. Tue Jan 4 13:13:46 2022 commencing in-memory singleton removal
  83. Tue Jan 4 13:13:56 2022 begin with 102597844 relations and 89671259 unique ideals
  84. Tue Jan 4 13:15:11 2022 reduce to 102262826 relations and 84530618 ideals in 7 passes
  85. Tue Jan 4 13:15:11 2022 max relations containing the same ideal: 172
  86. Tue Jan 4 13:16:03 2022 removing 6659546 relations and 4659546 ideals in 2000000 cliques
  87. Tue Jan 4 13:16:06 2022 commencing in-memory singleton removal
  88. Tue Jan 4 13:16:15 2022 begin with 95603280 relations and 84530618 unique ideals
  89. Tue Jan 4 13:17:24 2022 reduce to 95267321 relations and 79529213 ideals in 7 passes
  90. Tue Jan 4 13:17:24 2022 max relations containing the same ideal: 164
  91. Tue Jan 4 13:18:12 2022 removing 6569221 relations and 4569221 ideals in 2000000 cliques
  92. Tue Jan 4 13:18:15 2022 commencing in-memory singleton removal
  93. Tue Jan 4 13:18:23 2022 begin with 88698100 relations and 79529213 unique ideals
  94. Tue Jan 4 13:19:26 2022 reduce to 88354781 relations and 74610216 ideals in 7 passes
  95. Tue Jan 4 13:19:26 2022 max relations containing the same ideal: 154
  96. Tue Jan 4 13:20:13 2022 removing 6510058 relations and 4510058 ideals in 2000000 cliques
  97. Tue Jan 4 13:20:15 2022 commencing in-memory singleton removal
  98. Tue Jan 4 13:20:23 2022 begin with 81844723 relations and 74610216 unique ideals
  99. Tue Jan 4 13:21:23 2022 reduce to 81488797 relations and 69737174 ideals in 7 passes
  100. Tue Jan 4 13:21:23 2022 max relations containing the same ideal: 146
  101. Tue Jan 4 13:22:05 2022 removing 6473947 relations and 4473947 ideals in 2000000 cliques
  102. Tue Jan 4 13:22:08 2022 commencing in-memory singleton removal
  103. Tue Jan 4 13:22:14 2022 begin with 75014850 relations and 69737174 unique ideals
  104. Tue Jan 4 13:23:06 2022 reduce to 74639835 relations and 64880287 ideals in 7 passes
  105. Tue Jan 4 13:23:06 2022 max relations containing the same ideal: 137
  106. Tue Jan 4 13:23:46 2022 removing 6462328 relations and 4462328 ideals in 2000000 cliques
  107. Tue Jan 4 13:23:49 2022 commencing in-memory singleton removal
  108. Tue Jan 4 13:23:55 2022 begin with 68177507 relations and 64880287 unique ideals
  109. Tue Jan 4 13:24:43 2022 reduce to 67776270 relations and 60007514 ideals in 7 passes
  110. Tue Jan 4 13:24:43 2022 max relations containing the same ideal: 130
  111. Tue Jan 4 13:25:19 2022 removing 6466808 relations and 4466808 ideals in 2000000 cliques
  112. Tue Jan 4 13:25:21 2022 commencing in-memory singleton removal
  113. Tue Jan 4 13:25:27 2022 begin with 61309462 relations and 60007514 unique ideals
  114. Tue Jan 4 13:26:16 2022 reduce to 60874263 relations and 55094533 ideals in 8 passes
  115. Tue Jan 4 13:26:16 2022 max relations containing the same ideal: 122
  116. Tue Jan 4 13:26:48 2022 removing 6486765 relations and 4486765 ideals in 2000000 cliques
  117. Tue Jan 4 13:26:50 2022 commencing in-memory singleton removal
  118. Tue Jan 4 13:26:55 2022 begin with 54387498 relations and 55094533 unique ideals
  119. Tue Jan 4 13:27:37 2022 reduce to 53906394 relations and 50113344 ideals in 8 passes
  120. Tue Jan 4 13:27:37 2022 max relations containing the same ideal: 113
  121. Tue Jan 4 13:28:06 2022 removing 6524791 relations and 4524791 ideals in 2000000 cliques
  122. Tue Jan 4 13:28:08 2022 commencing in-memory singleton removal
  123. Tue Jan 4 13:28:13 2022 begin with 47381603 relations and 50113344 unique ideals
  124. Tue Jan 4 13:28:51 2022 reduce to 46831291 relations and 45021099 ideals in 8 passes
  125. Tue Jan 4 13:28:51 2022 max relations containing the same ideal: 103
  126. Tue Jan 4 13:29:16 2022 removing 3514609 relations and 2593974 ideals in 920635 cliques
  127. Tue Jan 4 13:29:18 2022 commencing in-memory singleton removal
  128. Tue Jan 4 13:29:22 2022 begin with 43316682 relations and 45021099 unique ideals
  129. Tue Jan 4 13:29:51 2022 reduce to 43134990 relations and 42242378 ideals in 7 passes
  130. Tue Jan 4 13:29:51 2022 max relations containing the same ideal: 98
  131. Tue Jan 4 13:30:21 2022 relations with 0 large ideals: 28854
  132. Tue Jan 4 13:30:21 2022 relations with 1 large ideals: 8198
  133. Tue Jan 4 13:30:21 2022 relations with 2 large ideals: 92050
  134. Tue Jan 4 13:30:21 2022 relations with 3 large ideals: 685879
  135. Tue Jan 4 13:30:21 2022 relations with 4 large ideals: 2796496
  136. Tue Jan 4 13:30:21 2022 relations with 5 large ideals: 6882683
  137. Tue Jan 4 13:30:22 2022 relations with 6 large ideals: 10725293
  138. Tue Jan 4 13:30:22 2022 relations with 7+ large ideals: 21915537
  139. Tue Jan 4 13:30:22 2022 commencing 2-way merge
  140. Tue Jan 4 13:30:54 2022 reduce to 29055090 relation sets and 28162478 unique ideals
  141. Tue Jan 4 13:30:54 2022 commencing full merge
  142. Tue Jan 4 13:45:35 2022 memory use: 3884.9 MB
  143. Tue Jan 4 13:45:39 2022 found 13373305 cycles, need 13310678
  144. Tue Jan 4 13:45:40 2022 weight of 13310678 cycles is about 1597737664 (120.03/cycle)
  145. Tue Jan 4 13:45:40 2022 distribution of cycle lengths:
  146. Tue Jan 4 13:45:40 2022 1 relations: 537010
  147. Tue Jan 4 13:45:40 2022 2 relations: 823191
  148. Tue Jan 4 13:45:40 2022 3 relations: 981699
  149. Tue Jan 4 13:45:40 2022 4 relations: 1018130
  150. Tue Jan 4 13:45:40 2022 5 relations: 1044372
  151. Tue Jan 4 13:45:40 2022 6 relations: 1027459
  152. Tue Jan 4 13:45:40 2022 7 relations: 1004183
  153. Tue Jan 4 13:45:40 2022 8 relations: 951329
  154. Tue Jan 4 13:45:40 2022 9 relations: 889154
  155. Tue Jan 4 13:45:40 2022 10+ relations: 5034151
  156. Tue Jan 4 13:45:40 2022 heaviest cycle: 28 relations
  157. Tue Jan 4 13:45:43 2022 commencing cycle optimization
  158. Tue Jan 4 13:46:08 2022 start with 113922653 relations
  159. Tue Jan 4 13:52:08 2022 pruned 5499391 relations
  160. Tue Jan 4 13:52:08 2022 memory use: 2974.0 MB
  161. Tue Jan 4 13:52:08 2022 distribution of cycle lengths:
  162. Tue Jan 4 13:52:08 2022 1 relations: 537010
  163. Tue Jan 4 13:52:08 2022 2 relations: 844310
  164. Tue Jan 4 13:52:08 2022 3 relations: 1025412
  165. Tue Jan 4 13:52:08 2022 4 relations: 1064468
  166. Tue Jan 4 13:52:08 2022 5 relations: 1100097
  167. Tue Jan 4 13:52:08 2022 6 relations: 1080702
  168. Tue Jan 4 13:52:08 2022 7 relations: 1059476
  169. Tue Jan 4 13:52:08 2022 8 relations: 998603
  170. Tue Jan 4 13:52:08 2022 9 relations: 931805
  171. Tue Jan 4 13:52:08 2022 10+ relations: 4668795
  172. Tue Jan 4 13:52:08 2022 heaviest cycle: 28 relations
  173. Tue Jan 4 13:52:45 2022 RelProcTime: 10922
  174. Tue Jan 4 13:52:45 2022
  175. Tue Jan 4 13:52:45 2022 commencing linear algebra
  176. Tue Jan 4 13:52:47 2022 read 13310678 cycles
  177. Tue Jan 4 13:53:19 2022 cycles contain 42683201 unique relations
  178. Tue Jan 4 14:00:34 2022 read 42683201 relations
  179. Tue Jan 4 14:02:21 2022 using 20 quadratic characters above 4294917295
  180. Tue Jan 4 14:05:19 2022 building initial matrix
  181. Tue Jan 4 14:15:52 2022 memory use: 5527.8 MB
  182. Tue Jan 4 14:16:03 2022 read 13310678 cycles
  183. Tue Jan 4 14:16:07 2022 matrix is 13310501 x 13310678 (6231.3 MB) with weight 1774653224 (133.33/col)
  184. Tue Jan 4 14:16:07 2022 sparse part has weight 1487079411 (111.72/col)
  185. Tue Jan 4 14:19:42 2022 filtering completed in 2 passes
  186. Tue Jan 4 14:19:46 2022 matrix is 13310290 x 13310467 (6231.3 MB) with weight 1774646317 (133.33/col)
  187. Tue Jan 4 14:19:46 2022 sparse part has weight 1487077125 (111.72/col)
  188. Tue Jan 4 14:20:55 2022 matrix starts at (0, 0)
  189. Tue Jan 4 14:20:59 2022 matrix is 13310290 x 13310467 (6231.3 MB) with weight 1774646317 (133.33/col)
  190. Tue Jan 4 14:20:59 2022 sparse part has weight 1487077125 (111.72/col)
  191. Tue Jan 4 14:20:59 2022 saving the first 48 matrix rows for later
  192. Tue Jan 4 14:21:04 2022 matrix includes 64 packed rows
  193. Tue Jan 4 14:21:06 2022 matrix is 13310242 x 13310467 (5962.4 MB) with weight 1531336305 (115.05/col)
  194. Tue Jan 4 14:21:06 2022 sparse part has weight 1429893748 (107.43/col)
  195. Tue Jan 4 14:21:06 2022 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  196. Tue Jan 4 14:22:42 2022 commencing Lanczos iteration (6 threads)
  197. Tue Jan 4 14:22:42 2022 memory use: 5108.2 MB
  198. Tue Jan 4 14:23:58 2022 linear algebra at 0.0%, ETA 178h15m
  199. Tue Jan 4 14:24:22 2022 checkpointing every 80000 dimensions
  200. Tue Jan 11 09:35:25 2022 lanczos halted after 194714 iterations (dim = 12312747)
  201. Tue Jan 11 09:35:41 2022 BLanczosTime: 589376
  202. Tue Jan 11 09:35:41 2022
  203. Tue Jan 11 09:35:41 2022 commencing square root phase
  204. Tue Jan 11 09:35:41 2022 handling dependencies 1 to 64
  205. Tue Jan 11 09:35:41 2022 reading relations for dependency 1
  206. Tue Jan 11 09:35:41 2022 error: read_cycles can't open dependency file
  207. Tue Jan 11 09:38:23 2022
  208. Tue Jan 11 09:38:23 2022
  209. Tue Jan 11 09:38:23 2022 Msieve v. 1.53 (SVN unknown)
  210. Tue Jan 11 09:38:23 2022 random seeds: 2673bfc0 41515c03
  211. Tue Jan 11 09:38:23 2022 factoring 5131286135063869878217550946868084220259625422090569880883049521468852367727407448778601993823236180709694711765989174801988503297203234779609807339948954685580345333260545981320260706095636820779286395877934963835902091748711289467364284404392052611 (250 digits)
  212. Tue Jan 11 09:38:24 2022 searching for 15-digit factors
  213. Tue Jan 11 09:38:25 2022 commencing number field sieve (250-digit input)
  214. Tue Jan 11 09:38:25 2022 R0: 12589255298531885026341962383987545444758743
  215. Tue Jan 11 09:38:25 2022 R1: -5070602400912917605986812821504
  216. Tue Jan 11 09:38:25 2022 A0: -4
  217. Tue Jan 11 09:38:25 2022 A1: 0
  218. Tue Jan 11 09:38:25 2022 A2: 0
  219. Tue Jan 11 09:38:25 2022 A3: 0
  220. Tue Jan 11 09:38:25 2022 A4: 0
  221. Tue Jan 11 09:38:25 2022 A5: 0
  222. Tue Jan 11 09:38:25 2022 A6: 7
  223. Tue Jan 11 09:38:25 2022 skew 0.91, size 8.701e-13, alpha 1.422, combined = 1.040e-13 rroots = 2
  224. Tue Jan 11 09:38:25 2022
  225. Tue Jan 11 09:38:25 2022 commencing linear algebra
  226. Tue Jan 11 09:38:31 2022 matrix starts at (0, 0)
  227. Tue Jan 11 09:38:35 2022 matrix is 13310290 x 13310467 (6231.3 MB) with weight 1774646317 (133.33/col)
  228. Tue Jan 11 09:38:35 2022 sparse part has weight 1487077125 (111.72/col)
  229. Tue Jan 11 09:38:35 2022 saving the first 48 matrix rows for later
  230. Tue Jan 11 09:38:39 2022 matrix includes 64 packed rows
  231. Tue Jan 11 09:38:41 2022 matrix is 13310242 x 13310467 (5962.4 MB) with weight 1531336305 (115.05/col)
  232. Tue Jan 11 09:38:41 2022 sparse part has weight 1429893748 (107.43/col)
  233. Tue Jan 11 09:38:41 2022 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  234. Tue Jan 11 09:40:20 2022 commencing Lanczos iteration (6 threads)
  235. Tue Jan 11 09:40:20 2022 memory use: 5108.2 MB
  236. Tue Jan 11 09:40:20 2022 restarting at iteration 194714 (dim = 12312747)
  237. Tue Jan 11 09:41:34 2022 checkpointing every 70000 dimensions
  238. Tue Jan 11 09:41:49 2022 linear algebra at 92.5%, ETA 16h17m
  239. Tue Jan 11 23:18:25 2022 lanczos halted after 210489 iterations (dim = 13310239)
  240. Tue Jan 11 23:19:06 2022 recovered 37 nontrivial dependencies
  241. Tue Jan 11 23:19:21 2022 BLanczosTime: 49256
  242. Tue Jan 11 23:19:21 2022
  243. Tue Jan 11 23:19:21 2022 commencing square root phase
  244. Tue Jan 11 23:19:21 2022 reading relations for dependency 1
  245. Tue Jan 11 23:19:26 2022 read 6652874 cycles
  246. Tue Jan 11 23:19:41 2022 cycles contain 21335126 unique relations
  247. Tue Jan 11 23:24:25 2022 read 21335126 relations
  248. Tue Jan 11 23:26:29 2022 multiplying 21335126 relations
  249. Tue Jan 11 23:45:07 2022 multiply complete, coefficients have about 614.82 million bits
  250. Tue Jan 11 23:45:12 2022 initial square root is modulo 328171
  251. Wed Jan 12 00:05:40 2022 sqrtTime: 2779
  252. Wed Jan 12 00:05:40 2022 p59 factor: 35145131921410732084755973510606824612712017928146249392939
  253. Wed Jan 12 00:05:40 2022 p192 factor: 146002756414120727115521944814260714618678011479642548629903528628963726903994718997114347312250407283978677280562590060524110820098612136654929820695414562567382321845410541542498309748957449
  254. Wed Jan 12 00:05:40 2022 elapsed time 14:27:17
  255.  
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