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8p3_308

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Feb 12th, 2019
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  1. Mon Feb 11 08:09:46 2019
  2. Mon Feb 11 08:09:46 2019
  3. Mon Feb 11 08:09:46 2019 Msieve v. 1.53 (SVN 988M)
  4. Mon Feb 11 08:09:46 2019 random seeds: a27acf3a 07aad187
  5. Mon Feb 11 08:09:46 2019 factoring 2580548738229838906226249294106827901482313472590094567216854533168128470156670538266495245731820113114202435008803324645542452636150378194816740290994756708523331437249803419352186121172407530884916233 (202 digits)
  6. Mon Feb 11 08:09:47 2019 searching for 15-digit factors
  7. Mon Feb 11 08:09:48 2019 commencing number field sieve (202-digit input)
  8. Mon Feb 11 08:09:48 2019 R0: 5444517870735015415413993718908291383296
  9. Mon Feb 11 08:09:48 2019 R1: -984770902183611232881
  10. Mon Feb 11 08:09:48 2019 A0: 1
  11. Mon Feb 11 08:09:48 2019 A1: -1
  12. Mon Feb 11 08:09:48 2019 A2: 1
  13. Mon Feb 11 08:09:48 2019 A3: -1
  14. Mon Feb 11 08:09:48 2019 A4: 1
  15. Mon Feb 11 08:09:48 2019 A5: -1
  16. Mon Feb 11 08:09:48 2019 A6: 1
  17. Mon Feb 11 08:09:48 2019 skew 1.00, size 8.625e-12, alpha 2.428, combined = 5.725e-13 rroots = 0
  18. Mon Feb 11 08:09:48 2019
  19. Mon Feb 11 08:09:48 2019 commencing relation filtering
  20. Mon Feb 11 08:09:48 2019 setting target matrix density to 120.0
  21. Mon Feb 11 08:09:48 2019 estimated available RAM is 32768.0 MB
  22. Mon Feb 11 08:09:48 2019 commencing duplicate removal, pass 1
  23. Mon Feb 11 08:24:00 2019 error -15 reading relation 124050539
  24. Mon Feb 11 08:28:26 2019 error -15 reading relation 162980317
  25. Mon Feb 11 08:30:16 2019 error -5 reading relation 179359072
  26. Mon Feb 11 08:30:17 2019 error -5 reading relation 179507586
  27. Mon Feb 11 08:31:51 2019 error -15 reading relation 193401568
  28. Mon Feb 11 08:32:07 2019 error -15 reading relation 195595988
  29. Mon Feb 11 08:32:22 2019 skipped 58 relations with b > 2^32
  30. Mon Feb 11 08:32:22 2019 found 8581700 hash collisions in 197815637 relations
  31. Mon Feb 11 08:32:29 2019 added 2438534 free relations
  32. Mon Feb 11 08:32:29 2019 commencing duplicate removal, pass 2
  33. Mon Feb 11 08:33:19 2019 found 0 duplicates and 200254171 unique relations
  34. Mon Feb 11 08:33:19 2019 memory use: 522.4 MB
  35. Mon Feb 11 08:33:19 2019 reading ideals above 119996416
  36. Mon Feb 11 08:33:19 2019 commencing singleton removal, initial pass
  37. Mon Feb 11 08:49:03 2019 memory use: 3012.0 MB
  38. Mon Feb 11 08:49:03 2019 reading all ideals from disk
  39. Mon Feb 11 08:49:05 2019 memory use: 3487.7 MB
  40. Mon Feb 11 08:49:12 2019 commencing in-memory singleton removal
  41. Mon Feb 11 08:49:18 2019 begin with 200254171 relations and 161895055 unique ideals
  42. Mon Feb 11 08:50:36 2019 reduce to 133637758 relations and 88691563 ideals in 13 passes
  43. Mon Feb 11 08:50:36 2019 max relations containing the same ideal: 43
  44. Mon Feb 11 08:50:46 2019 reading ideals above 720000
  45. Mon Feb 11 08:50:47 2019 commencing singleton removal, initial pass
  46. Mon Feb 11 09:03:54 2019 memory use: 2756.0 MB
  47. Mon Feb 11 09:03:54 2019 reading all ideals from disk
  48. Mon Feb 11 09:03:57 2019 memory use: 5167.6 MB
  49. Mon Feb 11 09:04:08 2019 keeping 101703039 ideals with weight <= 200, target excess is 670153
  50. Mon Feb 11 09:04:20 2019 commencing in-memory singleton removal
  51. Mon Feb 11 09:04:29 2019 begin with 133637758 relations and 101703039 unique ideals
  52. Mon Feb 11 09:05:08 2019 reduce to 133637702 relations and 101702983 ideals in 4 passes
  53. Mon Feb 11 09:05:08 2019 max relations containing the same ideal: 200
  54. Mon Feb 11 09:05:56 2019 removing 10206973 relations and 8206973 ideals in 2000000 cliques
  55. Mon Feb 11 09:06:00 2019 commencing in-memory singleton removal
  56. Mon Feb 11 09:06:08 2019 begin with 123430729 relations and 101702983 unique ideals
  57. Mon Feb 11 09:07:21 2019 reduce to 122854949 relations and 92909205 ideals in 8 passes
  58. Mon Feb 11 09:07:21 2019 max relations containing the same ideal: 197
  59. Mon Feb 11 09:08:05 2019 removing 7741757 relations and 5741757 ideals in 2000000 cliques
  60. Mon Feb 11 09:08:08 2019 commencing in-memory singleton removal
  61. Mon Feb 11 09:08:15 2019 begin with 115113192 relations and 92909205 unique ideals
  62. Mon Feb 11 09:09:31 2019 reduce to 114729952 relations and 86777932 ideals in 9 passes
  63. Mon Feb 11 09:09:31 2019 max relations containing the same ideal: 190
  64. Mon Feb 11 09:10:13 2019 removing 7029263 relations and 5029263 ideals in 2000000 cliques
  65. Mon Feb 11 09:10:16 2019 commencing in-memory singleton removal
  66. Mon Feb 11 09:10:23 2019 begin with 107700689 relations and 86777932 unique ideals
  67. Mon Feb 11 09:11:18 2019 reduce to 107369200 relations and 81411616 ideals in 7 passes
  68. Mon Feb 11 09:11:18 2019 max relations containing the same ideal: 182
  69. Mon Feb 11 09:11:57 2019 removing 6657791 relations and 4657791 ideals in 2000000 cliques
  70. Mon Feb 11 09:12:00 2019 commencing in-memory singleton removal
  71. Mon Feb 11 09:12:07 2019 begin with 100711409 relations and 81411616 unique ideals
  72. Mon Feb 11 09:12:57 2019 reduce to 100402754 relations and 76439885 ideals in 7 passes
  73. Mon Feb 11 09:12:57 2019 max relations containing the same ideal: 176
  74. Mon Feb 11 09:13:34 2019 removing 6423258 relations and 4423258 ideals in 2000000 cliques
  75. Mon Feb 11 09:13:37 2019 commencing in-memory singleton removal
  76. Mon Feb 11 09:13:43 2019 begin with 93979496 relations and 76439885 unique ideals
  77. Mon Feb 11 09:14:31 2019 reduce to 93682655 relations and 71714468 ideals in 7 passes
  78. Mon Feb 11 09:14:31 2019 max relations containing the same ideal: 168
  79. Mon Feb 11 09:15:05 2019 removing 6262301 relations and 4262301 ideals in 2000000 cliques
  80. Mon Feb 11 09:15:08 2019 commencing in-memory singleton removal
  81. Mon Feb 11 09:15:13 2019 begin with 87420354 relations and 71714468 unique ideals
  82. Mon Feb 11 09:15:51 2019 reduce to 87126342 relations and 67152528 ideals in 6 passes
  83. Mon Feb 11 09:15:51 2019 max relations containing the same ideal: 159
  84. Mon Feb 11 09:16:23 2019 removing 6140552 relations and 4140552 ideals in 2000000 cliques
  85. Mon Feb 11 09:16:26 2019 commencing in-memory singleton removal
  86. Mon Feb 11 09:16:31 2019 begin with 80985790 relations and 67152528 unique ideals
  87. Mon Feb 11 09:17:05 2019 reduce to 80691114 relations and 62711209 ideals in 6 passes
  88. Mon Feb 11 09:17:05 2019 max relations containing the same ideal: 152
  89. Mon Feb 11 09:17:36 2019 removing 6054070 relations and 4054070 ideals in 2000000 cliques
  90. Mon Feb 11 09:17:38 2019 commencing in-memory singleton removal
  91. Mon Feb 11 09:17:43 2019 begin with 74637044 relations and 62711209 unique ideals
  92. Mon Feb 11 09:18:15 2019 reduce to 74335032 relations and 58348393 ideals in 6 passes
  93. Mon Feb 11 09:18:15 2019 max relations containing the same ideal: 143
  94. Mon Feb 11 09:18:42 2019 removing 5989425 relations and 3989425 ideals in 2000000 cliques
  95. Mon Feb 11 09:18:45 2019 commencing in-memory singleton removal
  96. Mon Feb 11 09:18:49 2019 begin with 68345607 relations and 58348393 unique ideals
  97. Mon Feb 11 09:19:18 2019 reduce to 68030155 relations and 54036135 ideals in 6 passes
  98. Mon Feb 11 09:19:18 2019 max relations containing the same ideal: 137
  99. Mon Feb 11 09:19:44 2019 removing 5942544 relations and 3942544 ideals in 2000000 cliques
  100. Mon Feb 11 09:19:46 2019 commencing in-memory singleton removal
  101. Mon Feb 11 09:19:50 2019 begin with 62087611 relations and 54036135 unique ideals
  102. Mon Feb 11 09:20:16 2019 reduce to 61756142 relations and 49753531 ideals in 6 passes
  103. Mon Feb 11 09:20:16 2019 max relations containing the same ideal: 127
  104. Mon Feb 11 09:20:40 2019 removing 5911722 relations and 3911722 ideals in 2000000 cliques
  105. Mon Feb 11 09:20:41 2019 commencing in-memory singleton removal
  106. Mon Feb 11 09:20:45 2019 begin with 55844420 relations and 49753531 unique ideals
  107. Mon Feb 11 09:21:12 2019 reduce to 55489610 relations and 45476982 ideals in 7 passes
  108. Mon Feb 11 09:21:12 2019 max relations containing the same ideal: 121
  109. Mon Feb 11 09:21:33 2019 removing 5890830 relations and 3890830 ideals in 2000000 cliques
  110. Mon Feb 11 09:21:35 2019 commencing in-memory singleton removal
  111. Mon Feb 11 09:21:38 2019 begin with 49598780 relations and 45476982 unique ideals
  112. Mon Feb 11 09:22:02 2019 reduce to 49212513 relations and 41187861 ideals in 7 passes
  113. Mon Feb 11 09:22:02 2019 max relations containing the same ideal: 109
  114. Mon Feb 11 09:22:21 2019 removing 5883958 relations and 3883958 ideals in 2000000 cliques
  115. Mon Feb 11 09:22:22 2019 commencing in-memory singleton removal
  116. Mon Feb 11 09:22:25 2019 begin with 43328555 relations and 41187861 unique ideals
  117. Mon Feb 11 09:22:48 2019 reduce to 42900166 relations and 36860580 ideals in 8 passes
  118. Mon Feb 11 09:22:48 2019 max relations containing the same ideal: 100
  119. Mon Feb 11 09:23:05 2019 removing 5878826 relations and 3878826 ideals in 2000000 cliques
  120. Mon Feb 11 09:23:07 2019 commencing in-memory singleton removal
  121. Mon Feb 11 09:23:09 2019 begin with 37021340 relations and 36860580 unique ideals
  122. Mon Feb 11 09:23:26 2019 reduce to 36531806 relations and 32472909 ideals in 7 passes
  123. Mon Feb 11 09:23:26 2019 max relations containing the same ideal: 90
  124. Mon Feb 11 09:23:41 2019 removing 5889938 relations and 3889938 ideals in 2000000 cliques
  125. Mon Feb 11 09:23:42 2019 commencing in-memory singleton removal
  126. Mon Feb 11 09:23:44 2019 begin with 30641868 relations and 32472909 unique ideals
  127. Mon Feb 11 09:23:58 2019 reduce to 30055116 relations and 27969081 ideals in 7 passes
  128. Mon Feb 11 09:23:58 2019 max relations containing the same ideal: 77
  129. Mon Feb 11 09:24:10 2019 removing 4165030 relations and 2856373 ideals in 1308657 cliques
  130. Mon Feb 11 09:24:11 2019 commencing in-memory singleton removal
  131. Mon Feb 11 09:24:13 2019 begin with 25890086 relations and 27969081 unique ideals
  132. Mon Feb 11 09:24:30 2019 reduce to 25486922 relations and 24693535 ideals in 10 passes
  133. Mon Feb 11 09:24:30 2019 max relations containing the same ideal: 73
  134. Mon Feb 11 09:24:39 2019 removing 100733 relations and 84724 ideals in 16009 cliques
  135. Mon Feb 11 09:24:40 2019 commencing in-memory singleton removal
  136. Mon Feb 11 09:24:41 2019 begin with 25386189 relations and 24693535 unique ideals
  137. Mon Feb 11 09:24:48 2019 reduce to 25385867 relations and 24608488 ideals in 4 passes
  138. Mon Feb 11 09:24:48 2019 max relations containing the same ideal: 73
  139. Mon Feb 11 09:24:51 2019 relations with 0 large ideals: 51228
  140. Mon Feb 11 09:24:51 2019 relations with 1 large ideals: 13728
  141. Mon Feb 11 09:24:51 2019 relations with 2 large ideals: 158653
  142. Mon Feb 11 09:24:51 2019 relations with 3 large ideals: 951979
  143. Mon Feb 11 09:24:51 2019 relations with 4 large ideals: 3045715
  144. Mon Feb 11 09:24:51 2019 relations with 5 large ideals: 5739989
  145. Mon Feb 11 09:24:51 2019 relations with 6 large ideals: 6700855
  146. Mon Feb 11 09:24:51 2019 relations with 7+ large ideals: 8723720
  147. Mon Feb 11 09:24:51 2019 commencing 2-way merge
  148. Mon Feb 11 09:25:05 2019 reduce to 17055828 relation sets and 16278449 unique ideals
  149. Mon Feb 11 09:25:05 2019 commencing full merge
  150. Mon Feb 11 09:31:33 2019 memory use: 2249.4 MB
  151. Mon Feb 11 09:31:36 2019 found 7675020 cycles, need 7658649
  152. Mon Feb 11 09:31:37 2019 weight of 7658649 cycles is about 919072022 (120.00/cycle)
  153. Mon Feb 11 09:31:37 2019 distribution of cycle lengths:
  154. Mon Feb 11 09:31:37 2019 1 relations: 283185
  155. Mon Feb 11 09:31:37 2019 2 relations: 400970
  156. Mon Feb 11 09:31:37 2019 3 relations: 492102
  157. Mon Feb 11 09:31:37 2019 4 relations: 527393
  158. Mon Feb 11 09:31:37 2019 5 relations: 549562
  159. Mon Feb 11 09:31:37 2019 6 relations: 557305
  160. Mon Feb 11 09:31:37 2019 7 relations: 553202
  161. Mon Feb 11 09:31:37 2019 8 relations: 533965
  162. Mon Feb 11 09:31:37 2019 9 relations: 504840
  163. Mon Feb 11 09:31:37 2019 10+ relations: 3256125
  164. Mon Feb 11 09:31:37 2019 heaviest cycle: 28 relations
  165. Mon Feb 11 09:31:39 2019 commencing cycle optimization
  166. Mon Feb 11 09:31:57 2019 start with 71174701 relations
  167. Mon Feb 11 09:34:59 2019 pruned 3648019 relations
  168. Mon Feb 11 09:34:59 2019 memory use: 1787.3 MB
  169. Mon Feb 11 09:34:59 2019 distribution of cycle lengths:
  170. Mon Feb 11 09:34:59 2019 1 relations: 283185
  171. Mon Feb 11 09:34:59 2019 2 relations: 410506
  172. Mon Feb 11 09:34:59 2019 3 relations: 512301
  173. Mon Feb 11 09:34:59 2019 4 relations: 549998
  174. Mon Feb 11 09:34:59 2019 5 relations: 579956
  175. Mon Feb 11 09:34:59 2019 6 relations: 588196
  176. Mon Feb 11 09:34:59 2019 7 relations: 587611
  177. Mon Feb 11 09:34:59 2019 8 relations: 564573
  178. Mon Feb 11 09:34:59 2019 9 relations: 533154
  179. Mon Feb 11 09:34:59 2019 10+ relations: 3049169
  180. Mon Feb 11 09:34:59 2019 heaviest cycle: 28 relations
  181. Mon Feb 11 09:35:16 2019 RelProcTime: 5128
  182. Mon Feb 11 09:35:16 2019
  183. Mon Feb 11 09:35:16 2019 commencing linear algebra
  184. Mon Feb 11 09:35:17 2019 read 7658649 cycles
  185. Mon Feb 11 09:35:34 2019 cycles contain 25007573 unique relations
  186. Mon Feb 11 09:37:18 2019 read 25007573 relations
  187. Mon Feb 11 09:38:07 2019 using 20 quadratic characters above 4294917295
  188. Mon Feb 11 09:39:34 2019 building initial matrix
  189. Mon Feb 11 09:43:37 2019 memory use: 3103.1 MB
  190. Mon Feb 11 09:43:43 2019 read 7658649 cycles
  191. Mon Feb 11 09:43:44 2019 matrix is 7658472 x 7658649 (3577.3 MB) with weight 1016534402 (132.73/col)
  192. Mon Feb 11 09:43:44 2019 sparse part has weight 853532132 (111.45/col)
  193. Mon Feb 11 09:45:01 2019 filtering completed in 2 passes
  194. Mon Feb 11 09:45:02 2019 matrix is 7658374 x 7658551 (3577.3 MB) with weight 1016531247 (132.73/col)
  195. Mon Feb 11 09:45:02 2019 sparse part has weight 853531050 (111.45/col)
  196. Mon Feb 11 09:45:27 2019 matrix starts at (0, 0)
  197. Mon Feb 11 09:45:28 2019 matrix is 7658374 x 7658551 (3577.3 MB) with weight 1016531247 (132.73/col)
  198. Mon Feb 11 09:45:28 2019 sparse part has weight 853531050 (111.45/col)
  199. Mon Feb 11 09:45:28 2019 saving the first 48 matrix rows for later
  200. Mon Feb 11 09:45:29 2019 matrix includes 64 packed rows
  201. Mon Feb 11 09:45:30 2019 matrix is 7658326 x 7658551 (3423.9 MB) with weight 878125088 (114.66/col)
  202. Mon Feb 11 09:45:30 2019 sparse part has weight 820973921 (107.20/col)
  203. Mon Feb 11 09:45:30 2019 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  204. Mon Feb 11 09:46:05 2019 commencing Lanczos iteration (8 threads)
  205. Mon Feb 11 09:46:05 2019 memory use: 2909.2 MB
  206. Mon Feb 11 09:46:19 2019 linear algebra at 0.0%, ETA 18h17m
  207. Mon Feb 11 09:46:24 2019 checkpointing every 410000 dimensions
  208. Tue Feb 12 04:56:52 2019 lanczos halted after 121110 iterations (dim = 7658323)
  209. Tue Feb 12 04:56:59 2019 recovered 37 nontrivial dependencies
  210. Tue Feb 12 04:57:01 2019 BLanczosTime: 69705
  211. Tue Feb 12 04:57:01 2019
  212. Tue Feb 12 04:57:01 2019 commencing square root phase
  213. Tue Feb 12 04:57:01 2019 handling dependencies 1 to 64
  214. Tue Feb 12 04:57:01 2019 reading relations for dependency 1
  215. Tue Feb 12 04:57:03 2019 read 3829816 cycles
  216. Tue Feb 12 04:57:10 2019 cycles contain 12499724 unique relations
  217. Tue Feb 12 04:58:07 2019 read 12499724 relations
  218. Tue Feb 12 04:58:55 2019 multiplying 12499724 relations
  219. Tue Feb 12 05:04:59 2019 multiply complete, coefficients have about 309.08 million bits
  220. Tue Feb 12 05:05:01 2019 initial square root is modulo 351503
  221. Tue Feb 12 05:10:53 2019 sqrtTime: 832
  222. Tue Feb 12 05:10:53 2019 p94 factor: 6293056309879252181529326368557687667178614506379582317495781043697447109594774021400454445969
  223. Tue Feb 12 05:10:53 2019 p108 factor: 410062871069296550334488896381810880528009921658937634188947171478716644396513334327694605289393629092984057
  224. Tue Feb 12 05:10:53 2019 elapsed time 21:01:07
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