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7p5_322

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  1. Tue Jan 22 07:08:04 2019  
  2. Tue Jan 22 07:08:04 2019  
  3. Tue Jan 22 07:08:04 2019  Msieve v. 1.53 (SVN 988M)
  4. Tue Jan 22 07:08:04 2019  random seeds: 845f630a 036b5b18
  5. Tue Jan 22 07:08:04 2019  factoring 7665535437502390942333207635267700661913189934667292238055318553810235146999296467385387538080407498419481572588262983261426603384312284969209641786737432200429625374214443584514609953850171809117662411991121522478573 (217 digits)
  6. Tue Jan 22 07:08:05 2019  searching for 15-digit factors
  7. Tue Jan 22 07:08:06 2019  commencing number field sieve (217-digit input)
  8. Tue Jan 22 07:08:06 2019  R0: 749048330965186233494494102694564493649
  9. Tue Jan 22 07:08:06 2019  R1: -142108547152020037174224853515625
  10. Tue Jan 22 07:08:06 2019  A0: 1
  11. Tue Jan 22 07:08:06 2019  A1: -1
  12. Tue Jan 22 07:08:06 2019  A2: 1
  13. Tue Jan 22 07:08:06 2019  A3: -1
  14. Tue Jan 22 07:08:06 2019  A4: 1
  15. Tue Jan 22 07:08:06 2019  A5: -1
  16. Tue Jan 22 07:08:06 2019  A6: 1
  17. Tue Jan 22 07:08:06 2019  skew 1.00, size 1.520e-11, alpha 2.428, combined = 8.659e-13 rroots = 0
  18. Tue Jan 22 07:08:06 2019  
  19. Tue Jan 22 07:08:06 2019  commencing relation filtering
  20. Tue Jan 22 07:08:06 2019  setting target matrix density to 120.0
  21. Tue Jan 22 07:08:06 2019  estimated available RAM is 32768.0 MB
  22. Tue Jan 22 07:08:06 2019  commencing duplicate removal, pass 1
  23. Tue Jan 22 07:08:18 2019  error -15 reading relation 1818539
  24. [744 more error lines]
  25. Tue Jan 22 07:21:27 2019  error -9 reading relation 125377461
  26. Tue Jan 22 07:21:28 2019  skipped 19 relations with b > 2^32
  27. Tue Jan 22 07:21:28 2019  skipped 254 relations with composite factors
  28. Tue Jan 22 07:21:28 2019  found 24300577 hash collisions in 125515654 relations
  29. Tue Jan 22 07:21:34 2019  added 2438534 free relations
  30. Tue Jan 22 07:21:34 2019  commencing duplicate removal, pass 2
  31. Tue Jan 22 07:23:15 2019  found 23413787 duplicates and 104540401 unique relations
  32. Tue Jan 22 07:23:15 2019  memory use: 660.8 MB
  33. Tue Jan 22 07:23:15 2019  reading ideals above 720000
  34. Tue Jan 22 07:23:15 2019  commencing singleton removal, initial pass
  35. Tue Jan 22 07:34:22 2019  memory use: 2756.0 MB
  36. Tue Jan 22 07:34:22 2019  reading all ideals from disk
  37. Tue Jan 22 07:34:25 2019  memory use: 3979.7 MB
  38. Tue Jan 22 07:34:33 2019  keeping 91937778 ideals with weight <= 200, target excess is 542955
  39. Tue Jan 22 07:34:42 2019  commencing in-memory singleton removal
  40. Tue Jan 22 07:34:48 2019  begin with 104540401 relations and 91937778 unique ideals
  41. Tue Jan 22 07:35:59 2019  reduce to 72006998 relations and 56376191 ideals in 13 passes
  42. Tue Jan 22 07:35:59 2019  max relations containing the same ideal: 163
  43. Tue Jan 22 07:36:25 2019  removing 8320154 relations and 6320154 ideals in 2000000 cliques
  44. Tue Jan 22 07:36:28 2019  commencing in-memory singleton removal
  45. Tue Jan 22 07:36:32 2019  begin with 63686844 relations and 56376191 unique ideals
  46. Tue Jan 22 07:37:07 2019  reduce to 62863348 relations and 49204048 ideals in 8 passes
  47. Tue Jan 22 07:37:07 2019  max relations containing the same ideal: 154
  48. Tue Jan 22 07:37:30 2019  removing 6779740 relations and 4779740 ideals in 2000000 cliques
  49. Tue Jan 22 07:37:32 2019  commencing in-memory singleton removal
  50. Tue Jan 22 07:37:36 2019  begin with 56083608 relations and 49204048 unique ideals
  51. Tue Jan 22 07:38:07 2019  reduce to 55504920 relations and 43827220 ideals in 8 passes
  52. Tue Jan 22 07:38:07 2019  max relations containing the same ideal: 138
  53. Tue Jan 22 07:38:27 2019  removing 6291696 relations and 4291696 ideals in 2000000 cliques
  54. Tue Jan 22 07:38:29 2019  commencing in-memory singleton removal
  55. Tue Jan 22 07:38:32 2019  begin with 49213224 relations and 43827220 unique ideals
  56. Tue Jan 22 07:38:59 2019  reduce to 48684294 relations and 38988496 ideals in 8 passes
  57. Tue Jan 22 07:38:59 2019  max relations containing the same ideal: 128
  58. Tue Jan 22 07:39:17 2019  removing 6049461 relations and 4049461 ideals in 2000000 cliques
  59. Tue Jan 22 07:39:19 2019  commencing in-memory singleton removal
  60. Tue Jan 22 07:39:21 2019  begin with 42634833 relations and 38988496 unique ideals
  61. Tue Jan 22 07:39:47 2019  reduce to 42111014 relations and 34395677 ideals in 9 passes
  62. Tue Jan 22 07:39:47 2019  max relations containing the same ideal: 120
  63. Tue Jan 22 07:40:03 2019  removing 5899034 relations and 3899034 ideals in 2000000 cliques
  64. Tue Jan 22 07:40:05 2019  commencing in-memory singleton removal
  65. Tue Jan 22 07:40:07 2019  begin with 36211980 relations and 34395677 unique ideals
  66. Tue Jan 22 07:40:24 2019  reduce to 35674440 relations and 29935860 ideals in 7 passes
  67. Tue Jan 22 07:40:24 2019  max relations containing the same ideal: 109
  68. Tue Jan 22 07:40:37 2019  removing 5777049 relations and 3777049 ideals in 2000000 cliques
  69. Tue Jan 22 07:40:39 2019  commencing in-memory singleton removal
  70. Tue Jan 22 07:40:40 2019  begin with 29897391 relations and 29935860 unique ideals
  71. Tue Jan 22 07:40:54 2019  reduce to 29329216 relations and 25562720 ideals in 7 passes
  72. Tue Jan 22 07:40:54 2019  max relations containing the same ideal: 87
  73. Tue Jan 22 07:41:05 2019  removing 5657390 relations and 3657390 ideals in 2000000 cliques
  74. Tue Jan 22 07:41:07 2019  commencing in-memory singleton removal
  75. Tue Jan 22 07:41:08 2019  begin with 23671826 relations and 25562720 unique ideals
  76. Tue Jan 22 07:41:20 2019  reduce to 23051560 relations and 21248738 ideals in 8 passes
  77. Tue Jan 22 07:41:20 2019  max relations containing the same ideal: 74
  78. Tue Jan 22 07:41:29 2019  removing 3553282 relations and 2380288 ideals in 1172994 cliques
  79. Tue Jan 22 07:41:30 2019  commencing in-memory singleton removal
  80. Tue Jan 22 07:41:31 2019  begin with 19498278 relations and 21248738 unique ideals
  81. Tue Jan 22 07:41:41 2019  reduce to 19154639 relations and 18509105 ideals in 8 passes
  82. Tue Jan 22 07:41:41 2019  max relations containing the same ideal: 67
  83. Tue Jan 22 07:41:48 2019  removing 91687 relations and 75981 ideals in 15706 cliques
  84. Tue Jan 22 07:41:49 2019  commencing in-memory singleton removal
  85. Tue Jan 22 07:41:50 2019  begin with 19062952 relations and 18509105 unique ideals
  86. Tue Jan 22 07:41:55 2019  reduce to 19062623 relations and 18432795 ideals in 4 passes
  87. Tue Jan 22 07:41:55 2019  max relations containing the same ideal: 67
  88. Tue Jan 22 07:41:57 2019  relations with 0 large ideals: 36888
  89. Tue Jan 22 07:41:57 2019  relations with 1 large ideals: 9484
  90. Tue Jan 22 07:41:57 2019  relations with 2 large ideals: 117978
  91. Tue Jan 22 07:41:57 2019  relations with 3 large ideals: 706779
  92. Tue Jan 22 07:41:57 2019  relations with 4 large ideals: 2255716
  93. Tue Jan 22 07:41:57 2019  relations with 5 large ideals: 4249991
  94. Tue Jan 22 07:41:57 2019  relations with 6 large ideals: 4965399
  95. Tue Jan 22 07:41:57 2019  relations with 7+ large ideals: 6720388
  96. Tue Jan 22 07:41:57 2019  commencing 2-way merge
  97. Tue Jan 22 07:42:07 2019  reduce to 13328038 relation sets and 12698210 unique ideals
  98. Tue Jan 22 07:42:07 2019  commencing full merge
  99. Tue Jan 22 07:47:04 2019  memory use: 1760.8 MB
  100. Tue Jan 22 07:47:07 2019  found 5981408 cycles, need 5964410
  101. Tue Jan 22 07:47:07 2019  weight of 5964410 cycles is about 715930298 (120.03/cycle)
  102. Tue Jan 22 07:47:07 2019  distribution of cycle lengths:
  103. Tue Jan 22 07:47:07 2019  1 relations: 192224
  104. Tue Jan 22 07:47:07 2019  2 relations: 288011
  105. Tue Jan 22 07:47:07 2019  3 relations: 370361
  106. Tue Jan 22 07:47:07 2019  4 relations: 408633
  107. Tue Jan 22 07:47:07 2019  5 relations: 435482
  108. Tue Jan 22 07:47:07 2019  6 relations: 441810
  109. Tue Jan 22 07:47:07 2019  7 relations: 439113
  110. Tue Jan 22 07:47:07 2019  8 relations: 422814
  111. Tue Jan 22 07:47:07 2019  9 relations: 398457
  112. Tue Jan 22 07:47:07 2019  10+ relations: 2567505
  113. Tue Jan 22 07:47:07 2019  heaviest cycle: 28 relations
  114. Tue Jan 22 07:47:09 2019  commencing cycle optimization
  115. Tue Jan 22 07:47:22 2019  start with 56000185 relations
  116. Tue Jan 22 07:49:49 2019  pruned 3255105 relations
  117. Tue Jan 22 07:49:49 2019  memory use: 1369.0 MB
  118. Tue Jan 22 07:49:49 2019  distribution of cycle lengths:
  119. Tue Jan 22 07:49:49 2019  1 relations: 192224
  120. Tue Jan 22 07:49:49 2019  2 relations: 295509
  121. Tue Jan 22 07:49:49 2019  3 relations: 387482
  122. Tue Jan 22 07:49:49 2019  4 relations: 428877
  123. Tue Jan 22 07:49:49 2019  5 relations: 463817
  124. Tue Jan 22 07:49:49 2019  6 relations: 471261
  125. Tue Jan 22 07:49:49 2019  7 relations: 470832
  126. Tue Jan 22 07:49:49 2019  8 relations: 451693
  127. Tue Jan 22 07:49:49 2019  9 relations: 425281
  128. Tue Jan 22 07:49:49 2019  10+ relations: 2377434
  129. Tue Jan 22 07:49:49 2019  heaviest cycle: 28 relations
  130. Tue Jan 22 07:50:02 2019  RelProcTime: 2516
  131. Tue Jan 22 07:50:02 2019  
  132. Tue Jan 22 07:50:02 2019  commencing linear algebra
  133. Tue Jan 22 07:50:03 2019  read 5964410 cycles
  134. Tue Jan 22 07:50:15 2019  cycles contain 18778173 unique relations
  135. Tue Jan 22 07:52:34 2019  read 18778173 relations
  136. Tue Jan 22 07:53:10 2019  using 20 quadratic characters above 4294917295
  137. Tue Jan 22 07:54:15 2019  building initial matrix
  138. Tue Jan 22 07:57:29 2019  memory use: 2370.7 MB
  139. Tue Jan 22 07:57:34 2019  read 5964410 cycles
  140. Tue Jan 22 07:57:34 2019  matrix is 5964233 x 5964410 (2770.0 MB) with weight 787735401 (132.07/col)
  141. Tue Jan 22 07:57:34 2019  sparse part has weight 660528053 (110.74/col)
  142. Tue Jan 22 07:58:33 2019  filtering completed in 2 passes
  143. Tue Jan 22 07:58:34 2019  matrix is 5964187 x 5964364 (2770.0 MB) with weight 787733229 (132.07/col)
  144. Tue Jan 22 07:58:34 2019  sparse part has weight 660526879 (110.75/col)
  145. Tue Jan 22 07:58:53 2019  matrix starts at (0, 0)
  146. Tue Jan 22 07:58:53 2019  matrix is 5964187 x 5964364 (2770.0 MB) with weight 787733229 (132.07/col)
  147. Tue Jan 22 07:58:53 2019  sparse part has weight 660526879 (110.75/col)
  148. Tue Jan 22 07:58:53 2019  saving the first 48 matrix rows for later
  149. Tue Jan 22 07:58:54 2019  matrix includes 64 packed rows
  150. Tue Jan 22 07:58:55 2019  matrix is 5964139 x 5964364 (2650.3 MB) with weight 679950349 (114.00/col)
  151. Tue Jan 22 07:58:55 2019  sparse part has weight 635111651 (106.48/col)
  152. Tue Jan 22 07:58:55 2019  using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  153. Tue Jan 22 07:59:21 2019  commencing Lanczos iteration (8 threads)
  154. Tue Jan 22 07:59:21 2019  memory use: 2245.1 MB
  155. Tue Jan 22 07:59:32 2019  linear algebra at 0.0%, ETA 10h55m
  156. Tue Jan 22 07:59:35 2019  checkpointing every 560000 dimensions
  157. Tue Jan 22 18:42:12 2019  lanczos halted after 94314 iterations (dim = 5964135)
  158. Tue Jan 22 18:42:16 2019  recovered 35 nontrivial dependencies
  159. Tue Jan 22 18:42:17 2019  BLanczosTime: 39135
  160. Tue Jan 22 18:42:17 2019  
  161. Tue Jan 22 18:42:17 2019  commencing square root phase
  162. Tue Jan 22 18:42:18 2019  handling dependencies 1 to 64
  163. Tue Jan 22 18:42:18 2019  reading relations for dependency 1
  164. Tue Jan 22 18:42:19 2019  read 2981129 cycles
  165. Tue Jan 22 18:42:24 2019  cycles contain 9384164 unique relations
  166. Tue Jan 22 18:44:06 2019  read 9384164 relations
  167. Tue Jan 22 18:44:43 2019  multiplying 9384164 relations
  168. Tue Jan 22 18:48:44 2019  multiply complete, coefficients have about 231.96 million bits
  169. Tue Jan 22 18:48:45 2019  initial square root is modulo 210985913
  170. Tue Jan 22 18:52:55 2019  sqrtTime: 638
  171. Tue Jan 22 18:52:55 2019  p73 factor: 9798967288185626374658705322259549332620085421751989616106797683720802209
  172. Tue Jan 22 18:52:55 2019  p144 factor: 782279929308932208274080960550845401875386783159185604422169635203717942590086536851309084525611523660511477197096791387754495413117583664302797
  173. Tue Jan 22 18:52:55 2019  elapsed time 11:44:51
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