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10p3_254

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  1. Thu Aug  1 21:21:54 2019  
  2. Thu Aug  1 21:21:54 2019  
  3. Thu Aug  1 21:21:54 2019  Msieve v. 1.53 (SVN 988M)
  4. Thu Aug  1 21:21:54 2019  random seeds: 12cef401 2c891be8
  5. Thu Aug  1 21:21:54 2019  factoring 223668626205650999008951019417225539688273193048222307344555867393459482745735320511876595914225560292952565819815137950043376051964070528899124243949292480627375281 (165 digits)
  6. Thu Aug  1 21:21:54 2019  searching for 15-digit factors
  7. Thu Aug  1 21:21:55 2019  commencing number field sieve (165-digit input)
  8. Thu Aug  1 21:21:55 2019  R0: -198817456170504328696733274028297
  9. Thu Aug  1 21:21:55 2019  R1: 16957339394894434
  10. Thu Aug  1 21:21:55 2019  A0: -6633635463188220900229508016253685039510670
  11. Thu Aug  1 21:21:55 2019  A1: 1633113432176374799634571618805813963
  12. Thu Aug  1 21:21:55 2019  A2: -19797786647658712570504852539
  13. Thu Aug  1 21:21:55 2019  A3: -250362486382344712008
  14. Thu Aug  1 21:21:55 2019  A4: 770932843814
  15. Thu Aug  1 21:21:55 2019  A5: 2880
  16. Thu Aug  1 21:21:55 2019  skew 150592716.27, size 4.375e-16, alpha -8.599, combined = 6.900e-13 rroots = 5
  17. Thu Aug  1 21:21:55 2019  
  18. Thu Aug  1 21:21:55 2019  commencing relation filtering
  19. Thu Aug  1 21:21:55 2019  setting target matrix density to 130.0
  20. Thu Aug  1 21:21:55 2019  estimated available RAM is 32768.0 MB
  21. Thu Aug  1 21:21:55 2019  commencing duplicate removal, pass 1
  22. Thu Aug  1 21:24:49 2019  error -1 reading relation 28051211
  23. Thu Aug  1 21:28:54 2019  error -15 reading relation 67913021
  24. Thu Aug  1 21:31:44 2019  error -15 reading relation 95686590
  25. Thu Aug  1 21:31:48 2019  error -11 reading relation 96186013
  26. Thu Aug  1 21:33:57 2019  skipped 1 relations with b > 2^32
  27. Thu Aug  1 21:33:57 2019  skipped 3 relations with composite factors
  28. Thu Aug  1 21:33:57 2019  found 5957959 hash collisions in 117215396 relations
  29. Thu Aug  1 21:34:18 2019  added 121873 free relations
  30. Thu Aug  1 21:34:18 2019  commencing duplicate removal, pass 2
  31. Thu Aug  1 21:34:44 2019  found 12 duplicates and 117337257 unique relations
  32. Thu Aug  1 21:34:44 2019  memory use: 378.4 MB
  33. Thu Aug  1 21:34:44 2019  reading ideals above 720000
  34. Thu Aug  1 21:34:44 2019  commencing singleton removal, initial pass
  35. Thu Aug  1 21:45:46 2019  memory use: 2756.0 MB
  36. Thu Aug  1 21:45:46 2019  reading all ideals from disk
  37. Thu Aug  1 21:45:48 2019  memory use: 4442.6 MB
  38. Thu Aug  1 21:45:57 2019  keeping 94730067 ideals with weight <= 200, target excess is 627054
  39. Thu Aug  1 21:46:07 2019  commencing in-memory singleton removal
  40. Thu Aug  1 21:46:15 2019  begin with 117337257 relations and 94730067 unique ideals
  41. Thu Aug  1 21:47:27 2019  reduce to 89155377 relations and 64502161 ideals in 11 passes
  42. Thu Aug  1 21:47:27 2019  max relations containing the same ideal: 176
  43. Thu Aug  1 21:47:56 2019  removing 7588400 relations and 5588400 ideals in 2000000 cliques
  44. Thu Aug  1 21:47:59 2019  commencing in-memory singleton removal
  45. Thu Aug  1 21:48:04 2019  begin with 81566977 relations and 64502161 unique ideals
  46. Thu Aug  1 21:48:38 2019  reduce to 81060977 relations and 58393886 ideals in 6 passes
  47. Thu Aug  1 21:48:38 2019  max relations containing the same ideal: 169
  48. Thu Aug  1 21:49:05 2019  removing 6073272 relations and 4073272 ideals in 2000000 cliques
  49. Thu Aug  1 21:49:07 2019  commencing in-memory singleton removal
  50. Thu Aug  1 21:49:11 2019  begin with 74987705 relations and 58393886 unique ideals
  51. Thu Aug  1 21:49:42 2019  reduce to 74644546 relations and 53968939 ideals in 6 passes
  52. Thu Aug  1 21:49:42 2019  max relations containing the same ideal: 158
  53. Thu Aug  1 21:50:07 2019  removing 5676056 relations and 3676056 ideals in 2000000 cliques
  54. Thu Aug  1 21:50:09 2019  commencing in-memory singleton removal
  55. Thu Aug  1 21:50:14 2019  begin with 68968490 relations and 53968939 unique ideals
  56. Thu Aug  1 21:50:42 2019  reduce to 68671601 relations and 49988713 ideals in 6 passes
  57. Thu Aug  1 21:50:42 2019  max relations containing the same ideal: 150
  58. Thu Aug  1 21:51:05 2019  removing 5465803 relations and 3465803 ideals in 2000000 cliques
  59. Thu Aug  1 21:51:07 2019  commencing in-memory singleton removal
  60. Thu Aug  1 21:51:11 2019  begin with 63205798 relations and 49988713 unique ideals
  61. Thu Aug  1 21:51:33 2019  reduce to 62929067 relations and 46238958 ideals in 5 passes
  62. Thu Aug  1 21:51:33 2019  max relations containing the same ideal: 140
  63. Thu Aug  1 21:51:54 2019  removing 5330169 relations and 3330169 ideals in 2000000 cliques
  64. Thu Aug  1 21:51:56 2019  commencing in-memory singleton removal
  65. Thu Aug  1 21:51:59 2019  begin with 57598898 relations and 46238958 unique ideals
  66. Thu Aug  1 21:52:23 2019  reduce to 57330152 relations and 42632656 ideals in 6 passes
  67. Thu Aug  1 21:52:23 2019  max relations containing the same ideal: 134
  68. Thu Aug  1 21:52:42 2019  removing 5229986 relations and 3229986 ideals in 2000000 cliques
  69. Thu Aug  1 21:52:44 2019  commencing in-memory singleton removal
  70. Thu Aug  1 21:52:47 2019  begin with 52100166 relations and 42632656 unique ideals
  71. Thu Aug  1 21:53:08 2019  reduce to 51832459 relations and 39127101 ideals in 6 passes
  72. Thu Aug  1 21:53:08 2019  max relations containing the same ideal: 125
  73. Thu Aug  1 21:53:25 2019  removing 5155463 relations and 3155463 ideals in 2000000 cliques
  74. Thu Aug  1 21:53:27 2019  commencing in-memory singleton removal
  75. Thu Aug  1 21:53:30 2019  begin with 46676996 relations and 39127101 unique ideals
  76. Thu Aug  1 21:53:48 2019  reduce to 46403471 relations and 35689375 ideals in 6 passes
  77. Thu Aug  1 21:53:48 2019  max relations containing the same ideal: 115
  78. Thu Aug  1 21:54:04 2019  removing 5097720 relations and 3097720 ideals in 2000000 cliques
  79. Thu Aug  1 21:54:05 2019  commencing in-memory singleton removal
  80. Thu Aug  1 21:54:08 2019  begin with 41305751 relations and 35689375 unique ideals
  81. Thu Aug  1 21:54:24 2019  reduce to 41017649 relations and 32293331 ideals in 6 passes
  82. Thu Aug  1 21:54:24 2019  max relations containing the same ideal: 107
  83. Thu Aug  1 21:54:38 2019  removing 5048918 relations and 3048918 ideals in 2000000 cliques
  84. Thu Aug  1 21:54:39 2019  commencing in-memory singleton removal
  85. Thu Aug  1 21:54:41 2019  begin with 35968731 relations and 32293331 unique ideals
  86. Thu Aug  1 21:54:55 2019  reduce to 35656333 relations and 28919802 ideals in 6 passes
  87. Thu Aug  1 21:54:55 2019  max relations containing the same ideal: 97
  88. Thu Aug  1 21:55:08 2019  removing 5018752 relations and 3018752 ideals in 2000000 cliques
  89. Thu Aug  1 21:55:09 2019  commencing in-memory singleton removal
  90. Thu Aug  1 21:55:11 2019  begin with 30637581 relations and 28919802 unique ideals
  91. Thu Aug  1 21:55:25 2019  reduce to 30283022 relations and 25530694 ideals in 7 passes
  92. Thu Aug  1 21:55:25 2019  max relations containing the same ideal: 87
  93. Thu Aug  1 21:55:35 2019  removing 5007025 relations and 3007025 ideals in 2000000 cliques
  94. Thu Aug  1 21:55:36 2019  commencing in-memory singleton removal
  95. Thu Aug  1 21:55:38 2019  begin with 25275997 relations and 25530694 unique ideals
  96. Thu Aug  1 21:55:49 2019  reduce to 24844918 relations and 22070843 ideals in 7 passes
  97. Thu Aug  1 21:55:49 2019  max relations containing the same ideal: 79
  98. Thu Aug  1 21:55:57 2019  removing 5037530 relations and 3037530 ideals in 2000000 cliques
  99. Thu Aug  1 21:55:58 2019  commencing in-memory singleton removal
  100. Thu Aug  1 21:55:59 2019  begin with 19807388 relations and 22070843 unique ideals
  101. Thu Aug  1 21:56:08 2019  reduce to 19219115 relations and 18407679 ideals in 7 passes
  102. Thu Aug  1 21:56:08 2019  max relations containing the same ideal: 63
  103. Thu Aug  1 21:56:14 2019  removing 380090 relations and 296037 ideals in 84053 cliques
  104. Thu Aug  1 21:56:15 2019  commencing in-memory singleton removal
  105. Thu Aug  1 21:56:16 2019  begin with 18839025 relations and 18407679 unique ideals
  106. Thu Aug  1 21:56:22 2019  reduce to 18831393 relations and 18103965 ideals in 5 passes
  107. Thu Aug  1 21:56:22 2019  max relations containing the same ideal: 62
  108. Thu Aug  1 21:56:24 2019  relations with 0 large ideals: 2077
  109. Thu Aug  1 21:56:24 2019  relations with 1 large ideals: 17442
  110. Thu Aug  1 21:56:24 2019  relations with 2 large ideals: 219758
  111. Thu Aug  1 21:56:24 2019  relations with 3 large ideals: 1133641
  112. Thu Aug  1 21:56:24 2019  relations with 4 large ideals: 3069474
  113. Thu Aug  1 21:56:24 2019  relations with 5 large ideals: 4884486
  114. Thu Aug  1 21:56:24 2019  relations with 6 large ideals: 4882577
  115. Thu Aug  1 21:56:24 2019  relations with 7+ large ideals: 4621938
  116. Thu Aug  1 21:56:24 2019  commencing 2-way merge
  117. Thu Aug  1 21:56:33 2019  reduce to 13610725 relation sets and 12883297 unique ideals
  118. Thu Aug  1 21:56:33 2019  commencing full merge
  119. Thu Aug  1 22:00:19 2019  memory use: 1514.2 MB
  120. Thu Aug  1 22:00:21 2019  found 5835917 cycles, need 5787497
  121. Thu Aug  1 22:00:21 2019  weight of 5787497 cycles is about 752529310 (130.03/cycle)
  122. Thu Aug  1 22:00:21 2019  distribution of cycle lengths:
  123. Thu Aug  1 22:00:21 2019  1 relations: 96039
  124. Thu Aug  1 22:00:21 2019  2 relations: 269121
  125. Thu Aug  1 22:00:21 2019  3 relations: 369322
  126. Thu Aug  1 22:00:21 2019  4 relations: 418920
  127. Thu Aug  1 22:00:21 2019  5 relations: 462424
  128. Thu Aug  1 22:00:21 2019  6 relations: 470416
  129. Thu Aug  1 22:00:21 2019  7 relations: 464205
  130. Thu Aug  1 22:00:21 2019  8 relations: 443799
  131. Thu Aug  1 22:00:21 2019  9 relations: 410736
  132. Thu Aug  1 22:00:21 2019  10+ relations: 2382515
  133. Thu Aug  1 22:00:21 2019  heaviest cycle: 28 relations
  134. Thu Aug  1 22:00:23 2019  commencing cycle optimization
  135. Thu Aug  1 22:00:36 2019  start with 53051693 relations
  136. Thu Aug  1 22:02:46 2019  pruned 3252372 relations
  137. Thu Aug  1 22:02:46 2019  memory use: 1325.7 MB
  138. Thu Aug  1 22:02:46 2019  distribution of cycle lengths:
  139. Thu Aug  1 22:02:46 2019  1 relations: 96039
  140. Thu Aug  1 22:02:46 2019  2 relations: 278925
  141. Thu Aug  1 22:02:46 2019  3 relations: 390350
  142. Thu Aug  1 22:02:46 2019  4 relations: 445371
  143. Thu Aug  1 22:02:46 2019  5 relations: 496220
  144. Thu Aug  1 22:02:46 2019  6 relations: 505589
  145. Thu Aug  1 22:02:46 2019  7 relations: 500780
  146. Thu Aug  1 22:02:46 2019  8 relations: 474896
  147. Thu Aug  1 22:02:46 2019  9 relations: 437113
  148. Thu Aug  1 22:02:46 2019  10+ relations: 2162214
  149. Thu Aug  1 22:02:46 2019  heaviest cycle: 28 relations
  150. Thu Aug  1 22:02:58 2019  RelProcTime: 2463
  151. Thu Aug  1 22:02:58 2019  
  152. Thu Aug  1 22:02:58 2019  commencing linear algebra
  153. Thu Aug  1 22:02:59 2019  read 5787497 cycles
  154. Thu Aug  1 22:03:11 2019  cycles contain 18526345 unique relations
  155. Thu Aug  1 22:04:25 2019  read 18526345 relations
  156. Thu Aug  1 22:04:59 2019  using 20 quadratic characters above 4294917295
  157. Thu Aug  1 22:06:05 2019  building initial matrix
  158. Thu Aug  1 22:09:38 2019  memory use: 2693.9 MB
  159. Thu Aug  1 22:09:43 2019  read 5787497 cycles
  160. Thu Aug  1 22:09:43 2019  matrix is 5787318 x 5787497 (2865.1 MB) with weight 889692788 (153.73/col)
  161. Thu Aug  1 22:09:43 2019  sparse part has weight 681609048 (117.77/col)
  162. Thu Aug  1 22:10:42 2019  filtering completed in 2 passes
  163. Thu Aug  1 22:10:43 2019  matrix is 5787146 x 5787325 (2865.0 MB) with weight 889683068 (153.73/col)
  164. Thu Aug  1 22:10:43 2019  sparse part has weight 681605795 (117.78/col)
  165. Thu Aug  1 22:11:01 2019  matrix starts at (0, 0)
  166. Thu Aug  1 22:11:01 2019  matrix is 5787146 x 5787325 (2865.0 MB) with weight 889683068 (153.73/col)
  167. Thu Aug  1 22:11:01 2019  sparse part has weight 681605795 (117.78/col)
  168. Thu Aug  1 22:11:01 2019  saving the first 48 matrix rows for later
  169. Thu Aug  1 22:11:02 2019  matrix includes 64 packed rows
  170. Thu Aug  1 22:11:03 2019  matrix is 5787098 x 5787325 (2817.8 MB) with weight 766347815 (132.42/col)
  171. Thu Aug  1 22:11:03 2019  sparse part has weight 680796808 (117.64/col)
  172. Thu Aug  1 22:11:03 2019  using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  173. Thu Aug  1 22:11:33 2019  commencing Lanczos iteration (8 threads)
  174. Thu Aug  1 22:11:33 2019  memory use: 2320.1 MB
  175. Thu Aug  1 22:11:44 2019  linear algebra at 0.0%, ETA 10h34m
  176. Thu Aug  1 22:11:47 2019  checkpointing every 570000 dimensions
  177. Fri Aug  2 08:49:35 2019  lanczos halted after 91520 iterations (dim = 5787098)
  178. Fri Aug  2 08:49:40 2019  recovered 31 nontrivial dependencies
  179. Fri Aug  2 08:49:41 2019  BLanczosTime: 38803
  180. Fri Aug  2 08:49:41 2019  
  181. Fri Aug  2 08:49:41 2019  commencing square root phase
  182. Fri Aug  2 08:49:41 2019  handling dependencies 1 to 64
  183. Fri Aug  2 08:49:41 2019  reading relations for dependency 1
  184. Fri Aug  2 08:49:42 2019  read 2894527 cycles
  185. Fri Aug  2 08:49:48 2019  cycles contain 9261770 unique relations
  186. Fri Aug  2 08:50:28 2019  read 9261770 relations
  187. Fri Aug  2 08:51:06 2019  multiplying 9261770 relations
  188. Fri Aug  2 08:57:56 2019  multiply complete, coefficients have about 470.30 million bits
  189. Fri Aug  2 08:57:58 2019  initial square root is modulo 274608443
  190. Fri Aug  2 09:05:59 2019  GCD is N, no factor found
  191. Fri Aug  2 09:05:59 2019  reading relations for dependency 2
  192. Fri Aug  2 09:06:00 2019  read 2895161 cycles
  193. Fri Aug  2 09:06:05 2019  cycles contain 9264302 unique relations
  194. Fri Aug  2 09:06:46 2019  read 9264302 relations
  195. Fri Aug  2 09:07:22 2019  multiplying 9264302 relations
  196. Fri Aug  2 09:14:18 2019  multiply complete, coefficients have about 470.45 million bits
  197. Fri Aug  2 09:14:21 2019  initial square root is modulo 276250463
  198. Fri Aug  2 09:22:23 2019  sqrtTime: 1962
  199. Fri Aug  2 09:22:23 2019  p64 factor: 1075281862462246040134306954648161485921913427913045660670236341
  200. Fri Aug  2 09:22:23 2019  p102 factor: 208009298783744874825249343972300765348854582734459994464293416524239491639575431286035488205385363341
  201. Fri Aug  2 09:22:23 2019  elapsed time 12:00:29
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