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1896831168511_19m1

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  1. Wed Jan 23 09:13:39 2019  
  2. Wed Jan 23 09:13:39 2019  
  3. Wed Jan 23 09:13:39 2019  Msieve v. 1.54 (SVN 1025)
  4. Wed Jan 23 09:13:39 2019  random seeds: 7ada066b 8685530c
  5. Wed Jan 23 09:13:39 2019  factoring 83028198180229302894634720902973809460834555112604759486697981615321439907296101056454988194328734729256631617389903663117651026473844476315639897327200965773537912063850809146013607535691094712711197230676383640214337 (218 digits)
  6. Wed Jan 23 09:13:40 2019  searching for 15-digit factors
  7. Wed Jan 23 09:13:40 2019  commencing number field sieve (218-digit input)
  8. Wed Jan 23 09:13:40 2019  R0: 6824738759664463131390023381783416831
  9. Wed Jan 23 09:13:40 2019  R1: -1
  10. Wed Jan 23 09:13:40 2019  A0: -1
  11. Wed Jan 23 09:13:40 2019  A1: 0
  12. Wed Jan 23 09:13:40 2019  A2: 0
  13. Wed Jan 23 09:13:40 2019  A3: 0
  14. Wed Jan 23 09:13:40 2019  A4: 0
  15. Wed Jan 23 09:13:40 2019  A5: 0
  16. Wed Jan 23 09:13:40 2019  A6: 1896831168511
  17. Wed Jan 23 09:13:40 2019  skew 0.01, size 1.056e-12, alpha 0.392, combined = 1.311e-13 rroots = 2
  18. Wed Jan 23 09:13:40 2019  
  19. Wed Jan 23 09:13:40 2019  commencing relation filtering
  20. Wed Jan 23 09:13:40 2019  setting target matrix density to 108.0
  21. Wed Jan 23 09:13:40 2019  estimated available RAM is 15988.9 MB
  22. Wed Jan 23 09:13:40 2019  commencing duplicate removal, pass 1
  23. Wed Jan 23 09:21:28 2019  error -5 reading relation 72140593
  24. Wed Jan 23 09:22:22 2019  error -5 reading relation 80554344
  25. Wed Jan 23 09:26:33 2019  error -15 reading relation 118882521
  26. Wed Jan 23 09:26:33 2019  error -6 reading relation 118891854
  27. Wed Jan 23 09:29:12 2019  error -15 reading relation 143020002
  28. Wed Jan 23 09:30:08 2019  error -5 reading relation 151614292
  29. Wed Jan 23 09:32:39 2019  error -15 reading relation 174507245
  30. Wed Jan 23 09:33:12 2019  skipped 218139 relations with b > 2^32
  31. Wed Jan 23 09:33:12 2019  skipped 2 relations with composite factors
  32. Wed Jan 23 09:33:12 2019  found 7002687 hash collisions in 178251519 relations
  33. Wed Jan 23 09:33:22 2019  commencing duplicate removal, pass 2
  34. Wed Jan 23 09:33:59 2019  found 8 duplicates and 178251511 unique relations
  35. Wed Jan 23 09:33:59 2019  memory use: 522.4 MB
  36. Wed Jan 23 09:33:59 2019  reading ideals above 131006464
  37. Wed Jan 23 09:33:59 2019  commencing singleton removal, initial pass
  38. Wed Jan 23 09:48:37 2019  memory use: 3012.0 MB
  39. Wed Jan 23 09:48:37 2019  reading all ideals from disk
  40. Wed Jan 23 09:48:41 2019  memory use: 3572.7 MB
  41. Wed Jan 23 09:48:48 2019  commencing in-memory singleton removal
  42. Wed Jan 23 09:48:55 2019  begin with 178251511 relations and 162177410 unique ideals
  43. Wed Jan 23 09:50:24 2019  reduce to 107277159 relations and 83349369 ideals in 16 passes
  44. Wed Jan 23 09:50:24 2019  max relations containing the same ideal: 34
  45. Wed Jan 23 09:50:29 2019  reading ideals above 720000
  46. Wed Jan 23 09:50:30 2019  commencing singleton removal, initial pass
  47. Wed Jan 23 10:01:53 2019  memory use: 2756.0 MB
  48. Wed Jan 23 10:01:53 2019  reading all ideals from disk
  49. Wed Jan 23 10:01:59 2019  memory use: 4321.0 MB
  50. Wed Jan 23 10:02:10 2019  keeping 97672466 ideals with weight <= 200, target excess is 546203
  51. Wed Jan 23 10:02:22 2019  commencing in-memory singleton removal
  52. Wed Jan 23 10:02:31 2019  begin with 107277159 relations and 97672466 unique ideals
  53. Wed Jan 23 10:03:42 2019  reduce to 107275611 relations and 97670918 ideals in 8 passes
  54. Wed Jan 23 10:03:42 2019  max relations containing the same ideal: 200
  55. Wed Jan 23 10:04:27 2019  removing 7922410 relations and 6922410 ideals in 1000000 cliques
  56. Wed Jan 23 10:04:29 2019  commencing in-memory singleton removal
  57. Wed Jan 23 10:04:38 2019  begin with 99353201 relations and 97670918 unique ideals
  58. Wed Jan 23 10:06:01 2019  reduce to 98857503 relations and 90246162 ideals in 10 passes
  59. Wed Jan 23 10:06:01 2019  max relations containing the same ideal: 197
  60. Wed Jan 23 10:06:42 2019  removing 5931638 relations and 4931638 ideals in 1000000 cliques
  61. Wed Jan 23 10:06:44 2019  commencing in-memory singleton removal
  62. Wed Jan 23 10:06:52 2019  begin with 92925865 relations and 90246162 unique ideals
  63. Wed Jan 23 10:07:54 2019  reduce to 92618620 relations and 85003773 ideals in 8 passes
  64. Wed Jan 23 10:07:54 2019  max relations containing the same ideal: 191
  65. Wed Jan 23 10:08:32 2019  removing 5307213 relations and 4307213 ideals in 1000000 cliques
  66. Wed Jan 23 10:08:34 2019  commencing in-memory singleton removal
  67. Wed Jan 23 10:08:42 2019  begin with 87311407 relations and 85003773 unique ideals
  68. Wed Jan 23 10:09:39 2019  reduce to 87051190 relations and 80433483 ideals in 8 passes
  69. Wed Jan 23 10:09:39 2019  max relations containing the same ideal: 184
  70. Wed Jan 23 10:10:16 2019  removing 4971125 relations and 3971125 ideals in 1000000 cliques
  71. Wed Jan 23 10:10:17 2019  commencing in-memory singleton removal
  72. Wed Jan 23 10:10:24 2019  begin with 82080065 relations and 80433483 unique ideals
  73. Wed Jan 23 10:11:32 2019  reduce to 81841174 relations and 76220813 ideals in 10 passes
  74. Wed Jan 23 10:11:32 2019  max relations containing the same ideal: 177
  75. Wed Jan 23 10:12:06 2019  removing 4750036 relations and 3750036 ideals in 1000000 cliques
  76. Wed Jan 23 10:12:07 2019  commencing in-memory singleton removal
  77. Wed Jan 23 10:12:14 2019  begin with 77091138 relations and 76220813 unique ideals
  78. Wed Jan 23 10:13:04 2019  reduce to 76861861 relations and 72238898 ideals in 8 passes
  79. Wed Jan 23 10:13:04 2019  max relations containing the same ideal: 170
  80. Wed Jan 23 10:13:37 2019  removing 4595981 relations and 3595981 ideals in 1000000 cliques
  81. Wed Jan 23 10:13:38 2019  commencing in-memory singleton removal
  82. Wed Jan 23 10:13:44 2019  begin with 72265880 relations and 72238898 unique ideals
  83. Wed Jan 23 10:14:31 2019  reduce to 72040542 relations and 68414978 ideals in 8 passes
  84. Wed Jan 23 10:14:31 2019  max relations containing the same ideal: 163
  85. Wed Jan 23 10:15:02 2019  removing 4483285 relations and 3483285 ideals in 1000000 cliques
  86. Wed Jan 23 10:15:03 2019  commencing in-memory singleton removal
  87. Wed Jan 23 10:15:09 2019  begin with 67557257 relations and 68414978 unique ideals
  88. Wed Jan 23 10:15:53 2019  reduce to 67331455 relations and 64703100 ideals in 8 passes
  89. Wed Jan 23 10:15:53 2019  max relations containing the same ideal: 155
  90. Wed Jan 23 10:16:21 2019  removing 4401527 relations and 3401527 ideals in 1000000 cliques
  91. Wed Jan 23 10:16:22 2019  commencing in-memory singleton removal
  92. Wed Jan 23 10:16:28 2019  begin with 62929928 relations and 64703100 unique ideals
  93. Wed Jan 23 10:17:03 2019  reduce to 62699507 relations and 61068128 ideals in 7 passes
  94. Wed Jan 23 10:17:03 2019  max relations containing the same ideal: 152
  95. Wed Jan 23 10:17:30 2019  removing 4330836 relations and 3333053 ideals in 997783 cliques
  96. Wed Jan 23 10:17:31 2019  commencing in-memory singleton removal
  97. Wed Jan 23 10:17:36 2019  begin with 58368671 relations and 61068128 unique ideals
  98. Wed Jan 23 10:18:09 2019  reduce to 58128874 relations and 57491873 ideals in 7 passes
  99. Wed Jan 23 10:18:09 2019  max relations containing the same ideal: 144
  100. Wed Jan 23 10:18:41 2019  relations with 0 large ideals: 20269
  101. Wed Jan 23 10:18:41 2019  relations with 1 large ideals: 3810
  102. Wed Jan 23 10:18:41 2019  relations with 2 large ideals: 58090
  103. Wed Jan 23 10:18:41 2019  relations with 3 large ideals: 500209
  104. Wed Jan 23 10:18:41 2019  relations with 4 large ideals: 2388886
  105. Wed Jan 23 10:18:41 2019  relations with 5 large ideals: 6958148
  106. Wed Jan 23 10:18:41 2019  relations with 6 large ideals: 12897525
  107. Wed Jan 23 10:18:41 2019  relations with 7+ large ideals: 35301937
  108. Wed Jan 23 10:18:41 2019  commencing 2-way merge
  109. Wed Jan 23 10:19:15 2019  reduce to 38321881 relation sets and 37684880 unique ideals
  110. Wed Jan 23 10:19:15 2019  commencing full merge
  111. Wed Jan 23 10:31:18 2019  memory use: 4830.2 MB
  112. Wed Jan 23 10:31:22 2019  found 17591049 cycles, need 17587080
  113. Wed Jan 23 10:31:27 2019  weight of 17587080 cycles is about 1899800824 (108.02/cycle)
  114. Wed Jan 23 10:31:27 2019  distribution of cycle lengths:
  115. Wed Jan 23 10:31:27 2019  1 relations: 1149267
  116. Wed Jan 23 10:31:27 2019  2 relations: 1405348
  117. Wed Jan 23 10:31:27 2019  3 relations: 1510619
  118. Wed Jan 23 10:31:27 2019  4 relations: 1461979
  119. Wed Jan 23 10:31:27 2019  5 relations: 1405320
  120. Wed Jan 23 10:31:27 2019  6 relations: 1322418
  121. Wed Jan 23 10:31:27 2019  7 relations: 1223526
  122. Wed Jan 23 10:31:27 2019  8 relations: 1127232
  123. Wed Jan 23 10:31:27 2019  9 relations: 1023406
  124. Wed Jan 23 10:31:27 2019  10+ relations: 5957965
  125. Wed Jan 23 10:31:27 2019  heaviest cycle: 28 relations
  126. Wed Jan 23 10:31:30 2019  commencing cycle optimization
  127. Wed Jan 23 10:31:59 2019  start with 141553143 relations
  128. Wed Jan 23 10:36:14 2019  pruned 5589874 relations
  129. Wed Jan 23 10:36:14 2019  memory use: 3874.1 MB
  130. Wed Jan 23 10:36:14 2019  distribution of cycle lengths:
  131. Wed Jan 23 10:36:14 2019  1 relations: 1149267
  132. Wed Jan 23 10:36:14 2019  2 relations: 1439999
  133. Wed Jan 23 10:36:14 2019  3 relations: 1574306
  134. Wed Jan 23 10:36:14 2019  4 relations: 1517877
  135. Wed Jan 23 10:36:14 2019  5 relations: 1466532
  136. Wed Jan 23 10:36:14 2019  6 relations: 1369374
  137. Wed Jan 23 10:36:14 2019  7 relations: 1268223
  138. Wed Jan 23 10:36:14 2019  8 relations: 1158821
  139. Wed Jan 23 10:36:14 2019  9 relations: 1048955
  140. Wed Jan 23 10:36:14 2019  10+ relations: 5593726
  141. Wed Jan 23 10:36:14 2019  heaviest cycle: 28 relations
  142. Wed Jan 23 10:36:47 2019  RelProcTime: 4987
  143. Wed Jan 23 10:36:47 2019  
  144. Wed Jan 23 10:36:47 2019  commencing linear algebra
  145. Wed Jan 23 10:36:48 2019  read 17587080 cycles
  146. Wed Jan 23 10:37:16 2019  cycles contain 57680589 unique relations
  147. Wed Jan 23 10:41:20 2019  read 57680589 relations
  148. Wed Jan 23 10:42:56 2019  using 20 quadratic characters above 4294917295
  149. Wed Jan 23 10:46:04 2019  building initial matrix
  150. Wed Jan 23 10:55:03 2019  memory use: 7447.8 MB
  151. Wed Jan 23 10:55:10 2019  read 17587080 cycles
  152. Wed Jan 23 10:55:12 2019  matrix is 17586903 x 17587080 (7568.0 MB) with weight 2199710961 (125.08/col)
  153. Wed Jan 23 10:55:12 2019  sparse part has weight 1790442367 (101.80/col)
  154. Wed Jan 23 10:58:16 2019  filtering completed in 2 passes
  155. Wed Jan 23 10:58:19 2019  matrix is 17586752 x 17586929 (7568.0 MB) with weight 2199705867 (125.08/col)
  156. Wed Jan 23 10:58:19 2019  sparse part has weight 1790440985 (101.81/col)
  157. Wed Jan 23 10:59:13 2019  matrix starts at (0, 0)
  158. Wed Jan 23 10:59:15 2019  matrix is 17586752 x 17586929 (7568.0 MB) with weight 2199705867 (125.08/col)
  159. Wed Jan 23 10:59:15 2019  sparse part has weight 1790440985 (101.81/col)
  160. Wed Jan 23 10:59:15 2019  saving the first 48 matrix rows for later
  161. Wed Jan 23 10:59:18 2019  matrix includes 64 packed rows
  162. Wed Jan 23 10:59:21 2019  matrix is 17586704 x 17586929 (7259.0 MB) with weight 1854657362 (105.46/col)
  163. Wed Jan 23 10:59:21 2019  sparse part has weight 1727038534 (98.20/col)
  164. Wed Jan 23 10:59:21 2019  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  165. Wed Jan 23 11:00:18 2019  commencing Lanczos iteration (4 threads)
  166. Wed Jan 23 11:00:18 2019  memory use: 7024.7 MB
  167. Wed Jan 23 11:01:43 2019  linear algebra at 0.0%, ETA 263h31m
  168. Wed Jan 23 11:02:10 2019  checkpointing every 70000 dimensions
  169. Sat Feb  2 07:59:06 2019  lanczos halted after 278115 iterations (dim = 17586704)
  170. Sat Feb  2 07:59:31 2019  recovered 37 nontrivial dependencies
  171. Sat Feb  2 07:59:31 2019  BLanczosTime: 854564
  172. Sat Feb  2 07:59:31 2019  
  173. Sat Feb  2 07:59:31 2019  commencing square root phase
  174. Sat Feb  2 07:59:31 2019  handling dependencies 1 to 64
  175. Sat Feb  2 07:59:31 2019  reading relations for dependency 1
  176. Sat Feb  2 07:59:33 2019  read 8796649 cycles
  177. Sat Feb  2 07:59:45 2019  cycles contain 28839814 unique relations
  178. Sat Feb  2 08:01:56 2019  read 28839814 relations
  179. Sat Feb  2 08:03:37 2019  multiplying 28839814 relations
  180. Sat Feb  2 08:50:55 2019  multiply complete, coefficients have about 1811.63 million bits
  181. Sat Feb  2 08:51:00 2019  initial square root is modulo 133806679
  182. Sat Feb  2 09:40:42 2019  GCD is 1, no factor found
  183. Sat Feb  2 09:40:42 2019  reading relations for dependency 2
  184. Sat Feb  2 09:40:44 2019  read 8793310 cycles
  185. Sat Feb  2 09:40:57 2019  cycles contain 28842280 unique relations
  186. Sat Feb  2 09:43:08 2019  read 28842280 relations
  187. Sat Feb  2 09:44:49 2019  multiplying 28842280 relations
  188. Sat Feb  2 10:32:50 2019  multiply complete, coefficients have about 1811.78 million bits
  189. Sat Feb  2 10:32:56 2019  initial square root is modulo 134013877
  190. Sat Feb  2 11:22:41 2019  GCD is N, no factor found
  191. Sat Feb  2 11:22:41 2019  reading relations for dependency 3
  192. Sat Feb  2 11:22:43 2019  read 8791865 cycles
  193. Sat Feb  2 11:22:55 2019  cycles contain 28839122 unique relations
  194. Sat Feb  2 11:25:07 2019  read 28839122 relations
  195. Sat Feb  2 11:26:47 2019  multiplying 28839122 relations
  196. Sat Feb  2 12:14:03 2019  multiply complete, coefficients have about 1811.60 million bits
  197. Sat Feb  2 12:14:08 2019  initial square root is modulo 133762441
  198. Sat Feb  2 13:03:34 2019  sqrtTime: 18243
  199. Sat Feb  2 13:03:34 2019  p77 factor: 60497492249796013719554696322022818871085896360486173603160331130559000958701
  200. Sat Feb  2 13:03:34 2019  p142 factor: 1372423799608144228833078565626426644494173971049293186790952678878333057510485557352599908011005410938820241122980151748484665929571121862437
  201. Sat Feb  2 13:03:34 2019  elapsed time 243:49:55
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