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32173_53m1

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Jan 20th, 2019
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  1. Thu Jan 10 20:34:00 2019
  2. Thu Jan 10 20:34:00 2019
  3. Thu Jan 10 20:34:00 2019 Msieve v. 1.52 (SVN unknown)
  4. Thu Jan 10 20:34:00 2019 random seeds: 43510480 a14365cb
  5. Thu Jan 10 20:34:00 2019 factoring 2452305460284105191850288595796189321362311742612420771105707023424572220187160802559144991222849763149288325341073435486597580843535082483688289553589776890340990150277690971463656154644819328527288968421356020091236091378545351238381 (235 digits)
  6. Thu Jan 10 20:34:01 2019 no P-1/P+1/ECM available, skipping
  7. Thu Jan 10 20:34:01 2019 commencing number field sieve (235-digit input)
  8. Thu Jan 10 20:34:01 2019 R0: 36933803195485351014980314368857775988813
  9. Thu Jan 10 20:34:01 2019 R1: -1
  10. Thu Jan 10 20:34:01 2019 A0: -32173
  11. Thu Jan 10 20:34:01 2019 A1: 0
  12. Thu Jan 10 20:34:01 2019 A2: 0
  13. Thu Jan 10 20:34:01 2019 A3: 0
  14. Thu Jan 10 20:34:01 2019 A4: 0
  15. Thu Jan 10 20:34:01 2019 A5: 0
  16. Thu Jan 10 20:34:01 2019 A6: 1
  17. Thu Jan 10 20:34:01 2019 skew 5.64, size 2.986e-012, alpha 0.326, combined = 2.686e-013 rroots = 2
  18. Thu Jan 10 20:34:01 2019
  19. Thu Jan 10 20:34:01 2019 commencing relation filtering
  20. Thu Jan 10 20:34:01 2019 setting target matrix density to 122.0
  21. Thu Jan 10 20:34:01 2019 estimated available RAM is 16289.0 MB
  22. Thu Jan 10 20:34:02 2019 commencing duplicate removal, pass 1
  23. Thu Jan 10 20:34:52 2019 error -9 reading relation 5473831
  24. Thu Jan 10 20:34:57 2019 error -5 reading relation 6076597
  25. Thu Jan 10 20:35:21 2019 error -15 reading relation 8806458
  26. Thu Jan 10 20:36:21 2019 error -15 reading relation 15695645
  27. Thu Jan 10 20:36:32 2019 error -15 reading relation 16897618
  28. Thu Jan 10 20:36:33 2019 error -15 reading relation 16929882
  29. Thu Jan 10 21:12:09 2019 error -9 reading relation 254200380
  30. Thu Jan 10 21:12:10 2019 error -15 reading relation 254312545
  31. Thu Jan 10 21:12:10 2019 error -15 reading relation 254313520
  32. Thu Jan 10 21:12:10 2019 error -9 reading relation 254343219
  33. Thu Jan 10 21:12:10 2019 error -15 reading relation 254344872
  34. Thu Jan 10 21:12:10 2019 error -1 reading relation 254356784
  35. Thu Jan 10 21:12:11 2019 error -5 reading relation 254489777
  36. Thu Jan 10 21:12:11 2019 error -5 reading relation 254493441
  37. Thu Jan 10 21:12:12 2019 error -1 reading relation 254582065
  38. Thu Jan 10 21:12:12 2019 error -15 reading relation 254588762
  39. Thu Jan 10 21:12:14 2019 error -1 reading relation 254823872
  40. Thu Jan 10 21:12:14 2019 error -15 reading relation 254827294
  41. Thu Jan 10 21:12:14 2019 error -15 reading relation 254830816
  42. Thu Jan 10 21:12:15 2019 error -1 reading relation 254871602
  43. Thu Jan 10 21:12:15 2019 error -15 reading relation 254911754
  44. Thu Jan 10 21:12:15 2019 error -15 reading relation 254915587
  45. Thu Jan 10 21:12:15 2019 error -9 reading relation 254922294
  46. Thu Jan 10 21:12:15 2019 error -15 reading relation 254922444
  47. Thu Jan 10 21:12:15 2019 error -15 reading relation 254924492
  48. Thu Jan 10 21:12:15 2019 error -9 reading relation 254928882
  49. Thu Jan 10 21:12:16 2019 error -15 reading relation 254987190
  50. Thu Jan 10 21:12:16 2019 skipped 6 relations with b > 2^32
  51. Thu Jan 10 21:12:16 2019 found 53943627 hash collisions in 255017683 relations
  52. Thu Jan 10 21:12:42 2019 added 1218204 free relations
  53. Thu Jan 10 21:12:42 2019 commencing duplicate removal, pass 2
  54. Thu Jan 10 21:18:41 2019 found 54230367 duplicates and 202005520 unique relations
  55. Thu Jan 10 21:18:41 2019 memory use: 1321.5 MB
  56. Thu Jan 10 21:18:41 2019 reading ideals above 189857792
  57. Thu Jan 10 21:18:41 2019 commencing singleton removal, initial pass
  58. Thu Jan 10 21:53:11 2019 memory use: 3012.0 MB
  59. Thu Jan 10 21:53:12 2019 reading all ideals from disk
  60. Thu Jan 10 21:53:50 2019 memory use: 3449.3 MB
  61. Thu Jan 10 21:53:57 2019 commencing in-memory singleton removal
  62. Thu Jan 10 21:54:03 2019 begin with 202005520 relations and 160357473 unique ideals
  63. Thu Jan 10 21:55:17 2019 reduce to 140552258 relations and 93404713 ideals in 13 passes
  64. Thu Jan 10 21:55:17 2019 max relations containing the same ideal: 37
  65. Thu Jan 10 21:55:27 2019 reading ideals above 720000
  66. Thu Jan 10 21:55:28 2019 commencing singleton removal, initial pass
  67. Thu Jan 10 22:23:39 2019 memory use: 3012.0 MB
  68. Thu Jan 10 22:23:39 2019 reading all ideals from disk
  69. Thu Jan 10 22:23:42 2019 memory use: 5574.2 MB
  70. Thu Jan 10 22:23:56 2019 keeping 113789074 ideals with weight <= 200, target excess is 705010
  71. Thu Jan 10 22:24:12 2019 commencing in-memory singleton removal
  72. Thu Jan 10 22:24:23 2019 begin with 140552258 relations and 113789074 unique ideals
  73. Thu Jan 10 22:25:36 2019 reduce to 140548814 relations and 113785629 ideals in 6 passes
  74. Thu Jan 10 22:25:36 2019 max relations containing the same ideal: 200
  75. Thu Jan 10 22:26:35 2019 removing 10736691 relations and 8736691 ideals in 2000000 cliques
  76. Thu Jan 10 22:26:38 2019 commencing in-memory singleton removal
  77. Thu Jan 10 22:26:48 2019 begin with 129812123 relations and 113785629 unique ideals
  78. Thu Jan 10 22:28:27 2019 reduce to 129134634 relations and 104358423 ideals in 9 passes
  79. Thu Jan 10 22:28:27 2019 max relations containing the same ideal: 198
  80. Thu Jan 10 22:29:21 2019 removing 8254286 relations and 6254286 ideals in 2000000 cliques
  81. Thu Jan 10 22:29:24 2019 commencing in-memory singleton removal
  82. Thu Jan 10 22:29:33 2019 begin with 120880348 relations and 104358423 unique ideals
  83. Thu Jan 10 22:30:55 2019 reduce to 120430000 relations and 97646272 ideals in 8 passes
  84. Thu Jan 10 22:30:55 2019 max relations containing the same ideal: 190
  85. Thu Jan 10 22:31:46 2019 removing 7514328 relations and 5514328 ideals in 2000000 cliques
  86. Thu Jan 10 22:31:49 2019 commencing in-memory singleton removal
  87. Thu Jan 10 22:31:58 2019 begin with 112915672 relations and 97646272 unique ideals
  88. Thu Jan 10 22:33:05 2019 reduce to 112518023 relations and 91727838 ideals in 7 passes
  89. Thu Jan 10 22:33:05 2019 max relations containing the same ideal: 182
  90. Thu Jan 10 22:33:53 2019 removing 7137890 relations and 5137890 ideals in 2000000 cliques
  91. Thu Jan 10 22:33:55 2019 commencing in-memory singleton removal
  92. Thu Jan 10 22:34:03 2019 begin with 105380133 relations and 91727838 unique ideals
  93. Thu Jan 10 22:35:14 2019 reduce to 105006803 relations and 86210338 ideals in 8 passes
  94. Thu Jan 10 22:35:14 2019 max relations containing the same ideal: 176
  95. Thu Jan 10 22:35:59 2019 removing 6909634 relations and 4909634 ideals in 2000000 cliques
  96. Thu Jan 10 22:36:01 2019 commencing in-memory singleton removal
  97. Thu Jan 10 22:36:09 2019 begin with 98097169 relations and 86210338 unique ideals
  98. Thu Jan 10 22:37:06 2019 reduce to 97731405 relations and 80928519 ideals in 7 passes
  99. Thu Jan 10 22:37:06 2019 max relations containing the same ideal: 167
  100. Thu Jan 10 22:37:49 2019 removing 6761630 relations and 4761630 ideals in 2000000 cliques
  101. Thu Jan 10 22:37:51 2019 commencing in-memory singleton removal
  102. Thu Jan 10 22:37:58 2019 begin with 90969775 relations and 80928519 unique ideals
  103. Thu Jan 10 22:38:58 2019 reduce to 90603091 relations and 75793340 ideals in 8 passes
  104. Thu Jan 10 22:38:58 2019 max relations containing the same ideal: 161
  105. Thu Jan 10 22:39:37 2019 removing 6656334 relations and 4656334 ideals in 2000000 cliques
  106. Thu Jan 10 22:39:39 2019 commencing in-memory singleton removal
  107. Thu Jan 10 22:39:46 2019 begin with 83946757 relations and 75793340 unique ideals
  108. Thu Jan 10 22:40:34 2019 reduce to 83573604 relations and 70756509 ideals in 7 passes
  109. Thu Jan 10 22:40:34 2019 max relations containing the same ideal: 151
  110. Thu Jan 10 22:41:11 2019 removing 6587170 relations and 4587170 ideals in 2000000 cliques
  111. Thu Jan 10 22:41:13 2019 commencing in-memory singleton removal
  112. Thu Jan 10 22:41:19 2019 begin with 76986434 relations and 70756509 unique ideals
  113. Thu Jan 10 22:42:03 2019 reduce to 76597960 relations and 65772550 ideals in 7 passes
  114. Thu Jan 10 22:42:03 2019 max relations containing the same ideal: 144
  115. Thu Jan 10 22:42:37 2019 removing 6543768 relations and 4543768 ideals in 2000000 cliques
  116. Thu Jan 10 22:42:39 2019 commencing in-memory singleton removal
  117. Thu Jan 10 22:42:44 2019 begin with 70054192 relations and 65772550 unique ideals
  118. Thu Jan 10 22:43:24 2019 reduce to 69646006 relations and 60811247 ideals in 7 passes
  119. Thu Jan 10 22:43:24 2019 max relations containing the same ideal: 137
  120. Thu Jan 10 22:43:55 2019 removing 6519562 relations and 4519562 ideals in 2000000 cliques
  121. Thu Jan 10 22:43:57 2019 commencing in-memory singleton removal
  122. Thu Jan 10 22:44:02 2019 begin with 63126444 relations and 60811247 unique ideals
  123. Thu Jan 10 22:44:37 2019 reduce to 62685876 relations and 55840117 ideals in 7 passes
  124. Thu Jan 10 22:44:37 2019 max relations containing the same ideal: 127
  125. Thu Jan 10 22:45:05 2019 removing 6518230 relations and 4518230 ideals in 2000000 cliques
  126. Thu Jan 10 22:45:07 2019 commencing in-memory singleton removal
  127. Thu Jan 10 22:45:11 2019 begin with 56167646 relations and 55840117 unique ideals
  128. Thu Jan 10 22:45:42 2019 reduce to 55681149 relations and 50821972 ideals in 7 passes
  129. Thu Jan 10 22:45:42 2019 max relations containing the same ideal: 113
  130. Thu Jan 10 22:46:08 2019 removing 6539071 relations and 4539071 ideals in 2000000 cliques
  131. Thu Jan 10 22:46:09 2019 commencing in-memory singleton removal
  132. Thu Jan 10 22:46:13 2019 begin with 49142078 relations and 50821972 unique ideals
  133. Thu Jan 10 22:46:44 2019 reduce to 48587557 relations and 45711108 ideals in 8 passes
  134. Thu Jan 10 22:46:44 2019 max relations containing the same ideal: 104
  135. Thu Jan 10 22:47:07 2019 removing 6592640 relations and 4592640 ideals in 2000000 cliques
  136. Thu Jan 10 22:47:08 2019 commencing in-memory singleton removal
  137. Thu Jan 10 22:47:11 2019 begin with 41994917 relations and 45711108 unique ideals
  138. Thu Jan 10 22:47:38 2019 reduce to 41330567 relations and 40430396 ideals in 8 passes
  139. Thu Jan 10 22:47:38 2019 max relations containing the same ideal: 97
  140. Thu Jan 10 22:47:57 2019 removing 489694 relations and 407335 ideals in 82359 cliques
  141. Thu Jan 10 22:47:58 2019 commencing in-memory singleton removal
  142. Thu Jan 10 22:48:01 2019 begin with 40840873 relations and 40430396 unique ideals
  143. Thu Jan 10 22:48:16 2019 reduce to 40837114 relations and 40019296 ideals in 5 passes
  144. Thu Jan 10 22:48:16 2019 max relations containing the same ideal: 96
  145. Thu Jan 10 22:48:24 2019 relations with 0 large ideals: 26975
  146. Thu Jan 10 22:48:24 2019 relations with 1 large ideals: 8932
  147. Thu Jan 10 22:48:24 2019 relations with 2 large ideals: 132203
  148. Thu Jan 10 22:48:24 2019 relations with 3 large ideals: 914652
  149. Thu Jan 10 22:48:24 2019 relations with 4 large ideals: 3434242
  150. Thu Jan 10 22:48:24 2019 relations with 5 large ideals: 7717530
  151. Thu Jan 10 22:48:24 2019 relations with 6 large ideals: 10835446
  152. Thu Jan 10 22:48:24 2019 relations with 7+ large ideals: 17767134
  153. Thu Jan 10 22:48:24 2019 commencing 2-way merge
  154. Thu Jan 10 22:48:50 2019 reduce to 27366276 relation sets and 26548458 unique ideals
  155. Thu Jan 10 22:48:50 2019 commencing full merge
  156. Thu Jan 10 23:01:34 2019 memory use: 3444.4 MB
  157. Thu Jan 10 23:01:40 2019 found 12098551 cycles, need 12092658
  158. Thu Jan 10 23:01:41 2019 weight of 12092658 cycles is about 1475344727 (122.00/cycle)
  159. Thu Jan 10 23:01:41 2019 distribution of cycle lengths:
  160. Thu Jan 10 23:01:41 2019 1 relations: 498287
  161. Thu Jan 10 23:01:41 2019 2 relations: 707980
  162. Thu Jan 10 23:01:41 2019 3 relations: 837873
  163. Thu Jan 10 23:01:41 2019 4 relations: 864265
  164. Thu Jan 10 23:01:41 2019 5 relations: 886552
  165. Thu Jan 10 23:01:41 2019 6 relations: 878292
  166. Thu Jan 10 23:01:41 2019 7 relations: 858381
  167. Thu Jan 10 23:01:41 2019 8 relations: 818027
  168. Thu Jan 10 23:01:41 2019 9 relations: 770669
  169. Thu Jan 10 23:01:41 2019 10+ relations: 4972332
  170. Thu Jan 10 23:01:41 2019 heaviest cycle: 28 relations
  171. Thu Jan 10 23:01:57 2019 commencing cycle optimization
  172. Thu Jan 10 23:02:20 2019 start with 109979441 relations
  173. Thu Jan 10 23:07:54 2019 pruned 5328893 relations
  174. Thu Jan 10 23:07:54 2019 memory use: 2829.6 MB
  175. Thu Jan 10 23:07:54 2019 distribution of cycle lengths:
  176. Thu Jan 10 23:07:54 2019 1 relations: 498287
  177. Thu Jan 10 23:07:54 2019 2 relations: 726685
  178. Thu Jan 10 23:07:54 2019 3 relations: 875117
  179. Thu Jan 10 23:07:54 2019 4 relations: 902653
  180. Thu Jan 10 23:07:54 2019 5 relations: 933647
  181. Thu Jan 10 23:07:54 2019 6 relations: 922470
  182. Thu Jan 10 23:07:55 2019 7 relations: 905496
  183. Thu Jan 10 23:07:55 2019 8 relations: 857910
  184. Thu Jan 10 23:07:55 2019 9 relations: 807957
  185. Thu Jan 10 23:07:55 2019 10+ relations: 4662436
  186. Thu Jan 10 23:07:55 2019 heaviest cycle: 28 relations
  187. Thu Jan 10 23:08:21 2019 RelProcTime: 9260
  188. Thu Jan 10 23:08:21 2019
  189. Thu Jan 10 23:08:21 2019 commencing linear algebra
  190. Thu Jan 10 23:08:25 2019 read 12092658 cycles
  191. Thu Jan 10 23:08:49 2019 cycles contain 40418696 unique relations
  192. Thu Jan 10 23:15:57 2019 read 40418696 relations
  193. Thu Jan 10 23:17:12 2019 using 20 quadratic characters above 2147483424
  194. Thu Jan 10 23:19:56 2019 building initial matrix
  195. Thu Jan 10 23:28:42 2019 memory use: 5219.9 MB
  196. Thu Jan 10 23:29:08 2019 read 12092658 cycles
  197. Thu Jan 10 23:29:12 2019 matrix is 12092481 x 12092658 (5734.7 MB) with weight 1646965335 (136.20/col)
  198. Thu Jan 10 23:29:12 2019 sparse part has weight 1370304463 (113.32/col)
  199. Thu Jan 10 23:31:46 2019 filtering completed in 2 passes
  200. Thu Jan 10 23:31:50 2019 matrix is 12092402 x 12092579 (5734.7 MB) with weight 1646962925 (136.20/col)
  201. Thu Jan 10 23:31:50 2019 sparse part has weight 1370303891 (113.32/col)
  202. Thu Jan 10 23:33:33 2019 matrix starts at (0, 0)
  203. Thu Jan 10 23:33:37 2019 matrix is 12092402 x 12092579 (5734.7 MB) with weight 1646962925 (136.20/col)
  204. Thu Jan 10 23:33:37 2019 sparse part has weight 1370303891 (113.32/col)
  205. Thu Jan 10 23:33:37 2019 saving the first 48 matrix rows for later
  206. Thu Jan 10 23:33:41 2019 matrix includes 64 packed rows
  207. Thu Jan 10 23:33:43 2019 matrix is 12092354 x 12092579 (5495.3 MB) with weight 1409305802 (116.54/col)
  208. Thu Jan 10 23:33:43 2019 sparse part has weight 1319630468 (109.13/col)
  209. Thu Jan 10 23:33:43 2019 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  210. Thu Jan 10 23:34:53 2019 commencing Lanczos iteration (8 threads)
  211. Thu Jan 10 23:34:53 2019 memory use: 4691.2 MB
  212. Thu Jan 10 23:36:36 2019 linear algebra at 0.0%, ETA 216h32m
  213. Thu Jan 10 23:37:09 2019 checkpointing every 60000 dimensions
  214. Sun Jan 20 02:44:27 2019 lanczos halted after 191236 iterations (dim = 12092351)
  215. Sun Jan 20 02:44:42 2019 recovered 34 nontrivial dependencies
  216. Sun Jan 20 02:44:52 2019 BLanczosTime: 790591
  217. Sun Jan 20 02:44:52 2019
  218. Sun Jan 20 02:44:52 2019 commencing square root phase
  219. Sun Jan 20 02:44:52 2019 handling dependencies 1 to 64
  220. Sun Jan 20 02:44:52 2019 reading relations for dependency 1
  221. Sun Jan 20 02:44:55 2019 read 6045682 cycles
  222. Sun Jan 20 02:45:07 2019 cycles contain 20205702 unique relations
  223. Sun Jan 20 02:50:45 2019 read 20205702 relations
  224. Sun Jan 20 02:52:34 2019 multiplying 20205702 relations
  225. Sun Jan 20 03:08:52 2019 multiply complete, coefficients have about 530.25 million bits
  226. Sun Jan 20 03:08:59 2019 initial square root is modulo 57283
  227. Sun Jan 20 03:27:56 2019 sqrtTime: 2584
  228. Sun Jan 20 03:27:56 2019 prp85 factor: 1017419215550993395112892282537266791974380006945207962413437393015925304898462850101
  229. Sun Jan 20 03:27:56 2019 prp151 factor: 2410319583905278436290615360840015127941014133308074452040765291763561590303811824629753707417635335708243046659709632777489041997458856234965854360281
  230. Sun Jan 20 03:27:56 2019 elapsed time 222:53:56
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