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Msieve log of 7p5_317

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Jul 16th, 2022
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  1. Fri Jun 24 22:34:05 2022
  2. Fri Jun 24 22:34:05 2022
  3. Fri Jun 24 22:34:05 2022 Msieve v. 1.53 (SVN unknown)
  4. Fri Jun 24 22:34:05 2022 random seeds: 239e7858 b72c4359
  5. Fri Jun 24 22:34:05 2022 factoring 8005250922964400623653409089801614163844341926791193708170502887552253315908849909972739725496845462858419218045491332116038813116004297778170450465664390084878683606503403611971956761968587663149 (196 digits)
  6. Fri Jun 24 22:34:06 2022 searching for 15-digit factors
  7. Fri Jun 24 22:34:07 2022 commencing number field sieve (196-digit input)
  8. Fri Jun 24 22:34:07 2022 R0: 616873509628062366290756156815389726793178407
  9. Fri Jun 24 22:34:07 2022 R1: -11102230246251565404236316680908203125
  10. Fri Jun 24 22:34:07 2022 A0: 7
  11. Fri Jun 24 22:34:07 2022 A1: 0
  12. Fri Jun 24 22:34:07 2022 A2: 0
  13. Fri Jun 24 22:34:07 2022 A3: 0
  14. Fri Jun 24 22:34:07 2022 A4: 0
  15. Fri Jun 24 22:34:07 2022 A5: 0
  16. Fri Jun 24 22:34:07 2022 A6: 5
  17. Fri Jun 24 22:34:07 2022 skew 1.06, size 3.355e-13, alpha 0.474, combined = 5.048e-14 rroots = 0
  18. Fri Jun 24 22:34:07 2022
  19. Fri Jun 24 22:34:07 2022 commencing relation filtering
  20. Fri Jun 24 22:34:07 2022 setting target matrix density to 104.0
  21. Fri Jun 24 22:34:07 2022 estimated available RAM is 32721.3 MB
  22. Fri Jun 24 22:34:07 2022 commencing duplicate removal, pass 1
  23. Fri Jun 24 22:40:49 2022 error -9 reading relation 28849781
  24. Fri Jun 24 22:40:52 2022 error -9 reading relation 29075186
  25. Fri Jun 24 22:40:52 2022 error -15 reading relation 29113080
  26. Fri Jun 24 22:40:54 2022 error -9 reading relation 29242644
  27. Fri Jun 24 22:40:56 2022 error -15 reading relation 29390427
  28. Sat Jun 25 00:10:29 2022 error -9 reading relation 414497457
  29. Sat Jun 25 00:11:01 2022 error -5 reading relation 416862483
  30. Sat Jun 25 00:11:15 2022 error -15 reading relation 417931121
  31. Sat Jun 25 00:11:23 2022 error -5 reading relation 418489202
  32. Sat Jun 25 00:11:35 2022 error -9 reading relation 419374564
  33. Sat Jun 25 00:11:35 2022 error -15 reading relation 419402396
  34. Sat Jun 25 00:11:52 2022 skipped 1383 relations with b > 2^32
  35. Sat Jun 25 00:11:52 2022 skipped 187 relations with composite factors
  36. Sat Jun 25 00:11:52 2022 found 95329248 hash collisions in 420614502 relations
  37. Sat Jun 25 00:12:20 2022 added 1218721 free relations
  38. Sat Jun 25 00:12:20 2022 commencing duplicate removal, pass 2
  39. Sat Jun 25 00:19:54 2022 found 93479866 duplicates and 328353357 unique relations
  40. Sat Jun 25 00:19:54 2022 memory use: 2387.0 MB
  41. Sat Jun 25 00:19:54 2022 reading ideals above 204931072
  42. Sat Jun 25 00:19:54 2022 commencing singleton removal, initial pass
  43. Sat Jun 25 01:17:04 2022 memory use: 6024.0 MB
  44. Sat Jun 25 01:17:05 2022 reading all ideals from disk
  45. Sat Jun 25 01:17:50 2022 memory use: 6048.4 MB
  46. Sat Jun 25 01:18:07 2022 commencing in-memory singleton removal
  47. Sat Jun 25 01:18:21 2022 begin with 328353357 relations and 305726654 unique ideals
  48. Sat Jun 25 01:21:42 2022 reduce to 179833037 relations and 138533409 ideals in 22 passes
  49. Sat Jun 25 01:21:42 2022 max relations containing the same ideal: 38
  50. Sat Jun 25 01:21:59 2022 reading ideals above 720000
  51. Sat Jun 25 01:21:59 2022 commencing singleton removal, initial pass
  52. Sat Jun 25 02:00:45 2022 memory use: 3012.0 MB
  53. Sat Jun 25 02:00:46 2022 reading all ideals from disk
  54. Sat Jun 25 02:01:47 2022 memory use: 7514.4 MB
  55. Sat Jun 25 02:02:11 2022 keeping 160260554 ideals with weight <= 200, target excess is 942804
  56. Sat Jun 25 02:02:37 2022 commencing in-memory singleton removal
  57. Sat Jun 25 02:02:54 2022 begin with 179833037 relations and 160260554 unique ideals
  58. Sat Jun 25 02:05:23 2022 reduce to 179822969 relations and 160250485 ideals in 8 passes
  59. Sat Jun 25 02:05:23 2022 max relations containing the same ideal: 200
  60. Sat Jun 25 02:06:57 2022 removing 15919224 relations and 13919224 ideals in 2000000 cliques
  61. Sat Jun 25 02:07:03 2022 commencing in-memory singleton removal
  62. Sat Jun 25 02:07:19 2022 begin with 163903745 relations and 160250485 unique ideals
  63. Sat Jun 25 02:10:07 2022 reduce to 162704240 relations and 145112912 ideals in 10 passes
  64. Sat Jun 25 02:10:07 2022 max relations containing the same ideal: 196
  65. Sat Jun 25 02:11:32 2022 removing 11906667 relations and 9906667 ideals in 2000000 cliques
  66. Sat Jun 25 02:11:37 2022 commencing in-memory singleton removal
  67. Sat Jun 25 02:11:51 2022 begin with 150797573 relations and 145112912 unique ideals
  68. Sat Jun 25 02:14:09 2022 reduce to 150037461 relations and 134435950 ideals in 9 passes
  69. Sat Jun 25 02:14:09 2022 max relations containing the same ideal: 189
  70. Sat Jun 25 02:15:28 2022 removing 10681165 relations and 8681165 ideals in 2000000 cliques
  71. Sat Jun 25 02:15:33 2022 commencing in-memory singleton removal
  72. Sat Jun 25 02:15:46 2022 begin with 139356296 relations and 134435950 unique ideals
  73. Sat Jun 25 02:18:20 2022 reduce to 138692051 relations and 125081748 ideals in 11 passes
  74. Sat Jun 25 02:18:20 2022 max relations containing the same ideal: 179
  75. Sat Jun 25 02:19:34 2022 removing 10039219 relations and 8039219 ideals in 2000000 cliques
  76. Sat Jun 25 02:19:38 2022 commencing in-memory singleton removal
  77. Sat Jun 25 02:19:50 2022 begin with 128652832 relations and 125081748 unique ideals
  78. Sat Jun 25 02:21:46 2022 reduce to 128021030 relations and 116402102 ideals in 9 passes
  79. Sat Jun 25 02:21:46 2022 max relations containing the same ideal: 170
  80. Sat Jun 25 02:22:54 2022 removing 9656101 relations and 7656101 ideals in 2000000 cliques
  81. Sat Jun 25 02:22:58 2022 commencing in-memory singleton removal
  82. Sat Jun 25 02:23:09 2022 begin with 118364929 relations and 116402102 unique ideals
  83. Sat Jun 25 02:24:55 2022 reduce to 117735894 relations and 108107925 ideals in 9 passes
  84. Sat Jun 25 02:24:55 2022 max relations containing the same ideal: 161
  85. Sat Jun 25 02:26:01 2022 removing 9411325 relations and 7411325 ideals in 2000000 cliques
  86. Sat Jun 25 02:26:05 2022 commencing in-memory singleton removal
  87. Sat Jun 25 02:26:15 2022 begin with 108324569 relations and 108107925 unique ideals
  88. Sat Jun 25 02:27:53 2022 reduce to 107677523 relations and 100039638 ideals in 9 passes
  89. Sat Jun 25 02:27:53 2022 max relations containing the same ideal: 154
  90. Sat Jun 25 02:28:51 2022 removing 9260079 relations and 7260079 ideals in 2000000 cliques
  91. Sat Jun 25 02:28:54 2022 commencing in-memory singleton removal
  92. Sat Jun 25 02:29:03 2022 begin with 98417444 relations and 100039638 unique ideals
  93. Sat Jun 25 02:30:21 2022 reduce to 97734747 relations and 92085528 ideals in 8 passes
  94. Sat Jun 25 02:30:21 2022 max relations containing the same ideal: 145
  95. Sat Jun 25 02:31:14 2022 removing 9184122 relations and 7184122 ideals in 2000000 cliques
  96. Sat Jun 25 02:31:17 2022 commencing in-memory singleton removal
  97. Sat Jun 25 02:31:25 2022 begin with 88550625 relations and 92085528 unique ideals
  98. Sat Jun 25 02:32:34 2022 reduce to 87814413 relations and 84151801 ideals in 8 passes
  99. Sat Jun 25 02:32:34 2022 max relations containing the same ideal: 132
  100. Sat Jun 25 02:33:22 2022 removing 9156276 relations and 7156276 ideals in 2000000 cliques
  101. Sat Jun 25 02:33:25 2022 commencing in-memory singleton removal
  102. Sat Jun 25 02:33:33 2022 begin with 78658137 relations and 84151801 unique ideals
  103. Sat Jun 25 02:34:48 2022 reduce to 77844130 relations and 76165352 ideals in 10 passes
  104. Sat Jun 25 02:34:48 2022 max relations containing the same ideal: 121
  105. Sat Jun 25 02:35:32 2022 removing 3476761 relations and 2891636 ideals in 585125 cliques
  106. Sat Jun 25 02:35:34 2022 commencing in-memory singleton removal
  107. Sat Jun 25 02:35:40 2022 begin with 74367369 relations and 76165352 unique ideals
  108. Sat Jun 25 02:36:31 2022 reduce to 74248665 relations and 73154216 ideals in 7 passes
  109. Sat Jun 25 02:36:31 2022 max relations containing the same ideal: 119
  110. Sat Jun 25 02:37:25 2022 relations with 0 large ideals: 35825
  111. Sat Jun 25 02:37:25 2022 relations with 1 large ideals: 9017
  112. Sat Jun 25 02:37:25 2022 relations with 2 large ideals: 115555
  113. Sat Jun 25 02:37:25 2022 relations with 3 large ideals: 927028
  114. Sat Jun 25 02:37:25 2022 relations with 4 large ideals: 4087603
  115. Sat Jun 25 02:37:25 2022 relations with 5 large ideals: 10865229
  116. Sat Jun 25 02:37:25 2022 relations with 6 large ideals: 18122205
  117. Sat Jun 25 02:37:25 2022 relations with 7+ large ideals: 40086203
  118. Sat Jun 25 02:37:25 2022 commencing 2-way merge
  119. Sat Jun 25 02:38:21 2022 reduce to 45482964 relation sets and 44388515 unique ideals
  120. Sat Jun 25 02:38:21 2022 commencing full merge
  121. Sat Jun 25 02:58:28 2022 memory use: 5815.5 MB
  122. Sat Jun 25 02:58:34 2022 found 21448669 cycles, need 21352715
  123. Sat Jun 25 02:58:36 2022 weight of 21352715 cycles is about 2220788131 (104.00/cycle)
  124. Sat Jun 25 02:58:36 2022 distribution of cycle lengths:
  125. Sat Jun 25 02:58:36 2022 1 relations: 2022580
  126. Sat Jun 25 02:58:36 2022 2 relations: 1897783
  127. Sat Jun 25 02:58:36 2022 3 relations: 1854461
  128. Sat Jun 25 02:58:36 2022 4 relations: 1753913
  129. Sat Jun 25 02:58:36 2022 5 relations: 1670584
  130. Sat Jun 25 02:58:36 2022 6 relations: 1542530
  131. Sat Jun 25 02:58:36 2022 7 relations: 1456239
  132. Sat Jun 25 02:58:36 2022 8 relations: 1336568
  133. Sat Jun 25 02:58:36 2022 9 relations: 1213467
  134. Sat Jun 25 02:58:36 2022 10+ relations: 6604590
  135. Sat Jun 25 02:58:36 2022 heaviest cycle: 28 relations
  136. Sat Jun 25 02:58:41 2022 commencing cycle optimization
  137. Sat Jun 25 02:59:16 2022 start with 159492486 relations
  138. Sat Jun 25 03:06:29 2022 pruned 5192262 relations
  139. Sat Jun 25 03:06:29 2022 memory use: 4683.3 MB
  140. Sat Jun 25 03:06:29 2022 distribution of cycle lengths:
  141. Sat Jun 25 03:06:29 2022 1 relations: 2022580
  142. Sat Jun 25 03:06:29 2022 2 relations: 1937978
  143. Sat Jun 25 03:06:29 2022 3 relations: 1920067
  144. Sat Jun 25 03:06:29 2022 4 relations: 1804975
  145. Sat Jun 25 03:06:29 2022 5 relations: 1728185
  146. Sat Jun 25 03:06:29 2022 6 relations: 1590064
  147. Sat Jun 25 03:06:29 2022 7 relations: 1499223
  148. Sat Jun 25 03:06:29 2022 8 relations: 1367972
  149. Sat Jun 25 03:06:29 2022 9 relations: 1239513
  150. Sat Jun 25 03:06:29 2022 10+ relations: 6242158
  151. Sat Jun 25 03:06:29 2022 heaviest cycle: 28 relations
  152. Sat Jun 25 03:08:02 2022 RelProcTime: 16435
  153. Sat Jun 25 03:08:02 2022
  154. Sat Jun 25 03:08:02 2022 commencing linear algebra
  155. Sat Jun 25 03:08:05 2022 read 21352715 cycles
  156. Sat Jun 25 03:08:53 2022 cycles contain 73486273 unique relations
  157. Sat Jun 25 03:28:14 2022 read 73486273 relations
  158. Sat Jun 25 03:31:14 2022 using 20 quadratic characters above 4294917295
  159. Sat Jun 25 03:36:22 2022 building initial matrix
  160. Sat Jun 25 03:51:33 2022 memory use: 9600.6 MB
  161. Sat Jun 25 03:52:00 2022 read 21352715 cycles
  162. Sat Jun 25 03:52:09 2022 matrix is 21352537 x 21352715 (8987.3 MB) with weight 2583184935 (120.98/col)
  163. Sat Jun 25 03:52:09 2022 sparse part has weight 2121081434 (99.34/col)
  164. Sat Jun 25 03:57:21 2022 filtering completed in 2 passes
  165. Sat Jun 25 03:57:28 2022 matrix is 21350347 x 21350525 (8987.1 MB) with weight 2583112278 (120.99/col)
  166. Sat Jun 25 03:57:28 2022 sparse part has weight 2121057772 (99.34/col)
  167. Sat Jun 25 03:59:58 2022 matrix starts at (0, 0)
  168. Sat Jun 25 04:00:04 2022 matrix is 21350347 x 21350525 (8987.1 MB) with weight 2583112278 (120.99/col)
  169. Sat Jun 25 04:00:04 2022 sparse part has weight 2121057772 (99.34/col)
  170. Sat Jun 25 04:00:04 2022 saving the first 48 matrix rows for later
  171. Sat Jun 25 04:00:10 2022 matrix includes 64 packed rows
  172. Sat Jun 25 04:00:14 2022 matrix is 21350299 x 21350525 (8592.8 MB) with weight 2188009742 (102.48/col)
  173. Sat Jun 25 04:00:14 2022 sparse part has weight 2039043398 (95.50/col)
  174. Sat Jun 25 04:00:14 2022 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  175. Sat Jun 25 04:02:51 2022 commencing Lanczos iteration (6 threads)
  176. Sat Jun 25 04:02:51 2022 memory use: 7380.0 MB
  177. Sat Jun 25 04:05:04 2022 linear algebra at 0.0%, ETA 494h30m
  178. Sat Jun 25 04:05:47 2022 checkpointing every 50000 dimensions
  179. Wed Jul 6 16:39:23 2022 lanczos halted after 187409 iterations (dim = 11850944)
  180. Wed Jul 6 16:39:56 2022 BLanczosTime: 999114
  181. Wed Jul 6 16:39:56 2022
  182. Wed Jul 6 16:39:56 2022 commencing square root phase
  183. Wed Jul 6 16:39:56 2022 handling dependencies 1 to 64
  184. Wed Jul 6 16:39:56 2022 reading relations for dependency 1
  185. Wed Jul 6 16:39:56 2022 error: read_cycles can't open dependency file
  186. Wed Jul 6 16:40:33 2022
  187. Wed Jul 6 16:40:33 2022
  188. Wed Jul 6 16:40:33 2022 Msieve v. 1.53 (SVN unknown)
  189. Wed Jul 6 16:40:33 2022 random seeds: 159c66d0 dcbb5f27
  190. Wed Jul 6 16:40:33 2022 factoring 8005250922964400623653409089801614163844341926791193708170502887552253315908849909972739725496845462858419218045491332116038813116004297778170450465664390084878683606503403611971956761968587663149 (196 digits)
  191. Wed Jul 6 16:40:34 2022 searching for 15-digit factors
  192. Wed Jul 6 16:40:35 2022 commencing number field sieve (196-digit input)
  193. Wed Jul 6 16:40:35 2022 R0: 616873509628062366290756156815389726793178407
  194. Wed Jul 6 16:40:35 2022 R1: -11102230246251565404236316680908203125
  195. Wed Jul 6 16:40:35 2022 A0: 7
  196. Wed Jul 6 16:40:35 2022 A1: 0
  197. Wed Jul 6 16:40:35 2022 A2: 0
  198. Wed Jul 6 16:40:35 2022 A3: 0
  199. Wed Jul 6 16:40:35 2022 A4: 0
  200. Wed Jul 6 16:40:35 2022 A5: 0
  201. Wed Jul 6 16:40:35 2022 A6: 5
  202. Wed Jul 6 16:40:35 2022 skew 1.06, size 3.355e-13, alpha 0.474, combined = 5.048e-14 rroots = 0
  203. Wed Jul 6 16:40:35 2022
  204. Wed Jul 6 16:40:35 2022 commencing linear algebra
  205. Wed Jul 6 16:42:10 2022 matrix starts at (0, 0)
  206. Wed Jul 6 16:42:16 2022 matrix is 21350347 x 21350525 (8987.1 MB) with weight 2583112278 (120.99/col)
  207. Wed Jul 6 16:42:16 2022 sparse part has weight 2121057772 (99.34/col)
  208. Wed Jul 6 16:42:16 2022 saving the first 48 matrix rows for later
  209. Wed Jul 6 16:42:23 2022 matrix includes 64 packed rows
  210. Wed Jul 6 16:42:27 2022 matrix is 21350299 x 21350525 (8592.8 MB) with weight 2188009742 (102.48/col)
  211. Wed Jul 6 16:42:27 2022 sparse part has weight 2039043398 (95.50/col)
  212. Wed Jul 6 16:42:27 2022 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  213. Wed Jul 6 16:45:03 2022 commencing Lanczos iteration (8 threads)
  214. Wed Jul 6 16:45:03 2022 memory use: 7380.0 MB
  215. Wed Jul 6 16:45:04 2022 restarting at iteration 187409 (dim = 11850944)
  216. Wed Jul 6 16:46:34 2022 checkpointing every 50000 dimensions
  217. Wed Jul 6 16:47:11 2022 linear algebra at 55.5%, ETA 221h 1m
  218. Fri Jul 15 22:42:27 2022 lanczos halted after 337629 iterations (dim = 21350297)
  219. Fri Jul 15 22:43:21 2022 recovered 37 nontrivial dependencies
  220. Fri Jul 15 22:43:43 2022 BLanczosTime: 799388
  221. Fri Jul 15 22:43:43 2022
  222. Fri Jul 15 22:43:43 2022 commencing square root phase
  223. Fri Jul 15 22:43:43 2022 reading relations for dependency 1
  224. Fri Jul 15 22:43:56 2022 read 10673403 cycles
  225. Fri Jul 15 22:44:18 2022 cycles contain 36737628 unique relations
  226. Fri Jul 15 22:52:21 2022 read 36737628 relations
  227. Fri Jul 15 22:55:52 2022 multiplying 36737628 relations
  228. Fri Jul 15 23:27:47 2022 multiply complete, coefficients have about 1049.91 million bits
  229. Fri Jul 15 23:27:55 2022 initial square root is modulo 2625687703
  230. Sat Jul 16 00:04:20 2022 GCD is N, no factor found
  231. Sat Jul 16 00:04:20 2022 reading relations for dependency 2
  232. Sat Jul 16 00:04:24 2022 read 10672189 cycles
  233. Sat Jul 16 00:04:47 2022 cycles contain 36733116 unique relations
  234. Sat Jul 16 00:12:49 2022 read 36733116 relations
  235. Sat Jul 16 00:16:18 2022 multiplying 36733116 relations
  236. Sat Jul 16 00:48:09 2022 multiply complete, coefficients have about 1049.79 million bits
  237. Sat Jul 16 00:48:17 2022 initial square root is modulo 2619025567
  238. Sat Jul 16 01:24:44 2022 sqrtTime: 9661
  239. Sat Jul 16 01:24:44 2022 p74 factor: 39551807143587968689431661033886896020314449933187827579745593137725006467
  240. Sat Jul 16 01:24:44 2022 p123 factor: 202399119056743027031994778317527608276024857357314487929570373130442077743681850892953261134627882216621790325374367637647
  241. Sat Jul 16 01:24:44 2022 elapsed time 224:44:11
  242.  
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