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11p4_242

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  1. Sun Jul 21 11:48:10 2019  
  2. Sun Jul 21 11:48:10 2019  
  3. Sun Jul 21 11:48:10 2019  Msieve v. 1.53 (SVN 988M)
  4. Sun Jul 21 11:48:10 2019  random seeds: f16267fc 2d7cec54
  5. Sun Jul 21 11:48:10 2019  factoring 10578906347133443327317734464467839551720133427254076868028344249658297360037757660369597680525200618396247020753012521591240379900361137720236371786631848681 (158 digits)
  6. Sun Jul 21 11:48:11 2019  searching for 15-digit factors
  7. Sun Jul 21 11:48:11 2019  commencing number field sieve (158-digit input)
  8. Sun Jul 21 11:48:11 2019  R0: -6645848166205279230129838697139
  9. Sun Jul 21 11:48:11 2019  R1: 249524320661882729
  10. Sun Jul 21 11:48:11 2019  A0: -3082278836192645547389507006728520141522560
  11. Sun Jul 21 11:48:11 2019  A1: 167260363166943817400923025046439896
  12. Sun Jul 21 11:48:11 2019  A2: 367553578787323205233493414
  13. Sun Jul 21 11:48:11 2019  A3: -37857988514340210075
  14. Sun Jul 21 11:48:11 2019  A4: -73123714012
  15. Sun Jul 21 11:48:11 2019  A5: 816
  16. Sun Jul 21 11:48:11 2019  skew 112298405.98, size 2.553e-15, alpha -8.500, combined = 1.944e-12 rroots = 5
  17. Sun Jul 21 11:48:11 2019  
  18. Sun Jul 21 11:48:11 2019  commencing relation filtering
  19. Sun Jul 21 11:48:11 2019  setting target matrix density to 120.0
  20. Sun Jul 21 11:48:11 2019  estimated available RAM is 32768.0 MB
  21. Sun Jul 21 11:48:11 2019  commencing duplicate removal, pass 1
  22. Sun Jul 21 11:53:04 2019  error -11 reading relation 48851734
  23. [5567 more error lines]
  24. Sun Jul 21 11:53:10 2019  error -1 reading relation 49828202
  25. Sun Jul 21 11:53:13 2019  skipped 47 relations with b > 2^32
  26. Sun Jul 21 11:53:13 2019  skipped 290 relations with composite factors
  27. Sun Jul 21 11:53:13 2019  found 2211732 hash collisions in 50231757 relations
  28. Sun Jul 21 11:53:34 2019  added 121546 free relations
  29. Sun Jul 21 11:53:34 2019  commencing duplicate removal, pass 2
  30. Sun Jul 21 11:53:44 2019  found 1 duplicates and 50353302 unique relations
  31. Sun Jul 21 11:53:44 2019  memory use: 130.6 MB
  32. Sun Jul 21 11:53:44 2019  reading ideals above 720000
  33. Sun Jul 21 11:53:44 2019  commencing singleton removal, initial pass
  34. Sun Jul 21 11:58:19 2019  memory use: 1378.0 MB
  35. Sun Jul 21 11:58:19 2019  reading all ideals from disk
  36. Sun Jul 21 11:58:20 2019  memory use: 1825.1 MB
  37. Sun Jul 21 11:58:23 2019  keeping 47060607 ideals with weight <= 200, target excess is 272287
  38. Sun Jul 21 11:58:27 2019  commencing in-memory singleton removal
  39. Sun Jul 21 11:58:30 2019  begin with 50353302 relations and 47060607 unique ideals
  40. Sun Jul 21 11:59:02 2019  reduce to 32490442 relations and 27388970 ideals in 14 passes
  41. Sun Jul 21 11:59:02 2019  max relations containing the same ideal: 160
  42. Sun Jul 21 11:59:14 2019  removing 4605095 relations and 3605095 ideals in 1000000 cliques
  43. Sun Jul 21 11:59:15 2019  commencing in-memory singleton removal
  44. Sun Jul 21 11:59:17 2019  begin with 27885347 relations and 27388970 unique ideals
  45. Sun Jul 21 11:59:31 2019  reduce to 27398269 relations and 23278936 ideals in 8 passes
  46. Sun Jul 21 11:59:31 2019  max relations containing the same ideal: 139
  47. Sun Jul 21 11:59:41 2019  removing 3611545 relations and 2611545 ideals in 1000000 cliques
  48. Sun Jul 21 11:59:41 2019  commencing in-memory singleton removal
  49. Sun Jul 21 11:59:43 2019  begin with 23786724 relations and 23278936 unique ideals
  50. Sun Jul 21 11:59:54 2019  reduce to 23444806 relations and 20313506 ideals in 7 passes
  51. Sun Jul 21 11:59:54 2019  max relations containing the same ideal: 125
  52. Sun Jul 21 12:00:02 2019  removing 3322921 relations and 2322921 ideals in 1000000 cliques
  53. Sun Jul 21 12:00:03 2019  commencing in-memory singleton removal
  54. Sun Jul 21 12:00:04 2019  begin with 20121885 relations and 20313506 unique ideals
  55. Sun Jul 21 12:00:13 2019  reduce to 19802921 relations and 17659346 ideals in 7 passes
  56. Sun Jul 21 12:00:13 2019  max relations containing the same ideal: 109
  57. Sun Jul 21 12:00:19 2019  removing 3171936 relations and 2171936 ideals in 1000000 cliques
  58. Sun Jul 21 12:00:20 2019  commencing in-memory singleton removal
  59. Sun Jul 21 12:00:21 2019  begin with 16630985 relations and 17659346 unique ideals
  60. Sun Jul 21 12:00:29 2019  reduce to 16304574 relations and 15146734 ideals in 8 passes
  61. Sun Jul 21 12:00:29 2019  max relations containing the same ideal: 99
  62. Sun Jul 21 12:00:35 2019  removing 2680557 relations and 1838570 ideals in 841987 cliques
  63. Sun Jul 21 12:00:36 2019  commencing in-memory singleton removal
  64. Sun Jul 21 12:00:37 2019  begin with 13624017 relations and 15146734 unique ideals
  65. Sun Jul 21 12:00:42 2019  reduce to 13342561 relations and 13013943 ideals in 7 passes
  66. Sun Jul 21 12:00:42 2019  max relations containing the same ideal: 86
  67. Sun Jul 21 12:00:47 2019  removing 82707 relations and 69942 ideals in 12765 cliques
  68. Sun Jul 21 12:00:48 2019  commencing in-memory singleton removal
  69. Sun Jul 21 12:00:48 2019  begin with 13259854 relations and 13013943 unique ideals
  70. Sun Jul 21 12:00:51 2019  reduce to 13259592 relations and 12943739 ideals in 4 passes
  71. Sun Jul 21 12:00:51 2019  max relations containing the same ideal: 84
  72. Sun Jul 21 12:00:53 2019  relations with 0 large ideals: 849
  73. Sun Jul 21 12:00:53 2019  relations with 1 large ideals: 2704
  74. Sun Jul 21 12:00:53 2019  relations with 2 large ideals: 42345
  75. Sun Jul 21 12:00:53 2019  relations with 3 large ideals: 303424
  76. Sun Jul 21 12:00:53 2019  relations with 4 large ideals: 1155253
  77. Sun Jul 21 12:00:53 2019  relations with 5 large ideals: 2603157
  78. Sun Jul 21 12:00:53 2019  relations with 6 large ideals: 3647663
  79. Sun Jul 21 12:00:53 2019  relations with 7+ large ideals: 5504197
  80. Sun Jul 21 12:00:53 2019  commencing 2-way merge
  81. Sun Jul 21 12:01:00 2019  reduce to 9057133 relation sets and 8741280 unique ideals
  82. Sun Jul 21 12:01:00 2019  commencing full merge
  83. Sun Jul 21 12:03:42 2019  memory use: 1108.7 MB
  84. Sun Jul 21 12:03:44 2019  found 4070624 cycles, need 4049480
  85. Sun Jul 21 12:03:44 2019  weight of 4049480 cycles is about 486561111 (120.15/cycle)
  86. Sun Jul 21 12:03:44 2019  distribution of cycle lengths:
  87. Sun Jul 21 12:03:44 2019  1 relations: 89629
  88. Sun Jul 21 12:03:44 2019  2 relations: 231759
  89. Sun Jul 21 12:03:44 2019  3 relations: 294375
  90. Sun Jul 21 12:03:44 2019  4 relations: 314424
  91. Sun Jul 21 12:03:44 2019  5 relations: 329394
  92. Sun Jul 21 12:03:44 2019  6 relations: 325607
  93. Sun Jul 21 12:03:44 2019  7 relations: 318419
  94. Sun Jul 21 12:03:44 2019  8 relations: 299772
  95. Sun Jul 21 12:03:44 2019  9 relations: 278057
  96. Sun Jul 21 12:03:44 2019  10+ relations: 1568044
  97. Sun Jul 21 12:03:44 2019  heaviest cycle: 28 relations
  98. Sun Jul 21 12:03:45 2019  commencing cycle optimization
  99. Sun Jul 21 12:03:53 2019  start with 35545303 relations
  100. Sun Jul 21 12:05:14 2019  pruned 1778746 relations
  101. Sun Jul 21 12:05:14 2019  memory use: 920.9 MB
  102. Sun Jul 21 12:05:14 2019  distribution of cycle lengths:
  103. Sun Jul 21 12:05:14 2019  1 relations: 89629
  104. Sun Jul 21 12:05:14 2019  2 relations: 239110
  105. Sun Jul 21 12:05:14 2019  3 relations: 309779
  106. Sun Jul 21 12:05:14 2019  4 relations: 330431
  107. Sun Jul 21 12:05:14 2019  5 relations: 349071
  108. Sun Jul 21 12:05:14 2019  6 relations: 343967
  109. Sun Jul 21 12:05:14 2019  7 relations: 336476
  110. Sun Jul 21 12:05:14 2019  8 relations: 315154
  111. Sun Jul 21 12:05:14 2019  9 relations: 290847
  112. Sun Jul 21 12:05:14 2019  10+ relations: 1445016
  113. Sun Jul 21 12:05:14 2019  heaviest cycle: 28 relations
  114. Sun Jul 21 12:05:23 2019  RelProcTime: 1032
  115. Sun Jul 21 12:05:23 2019  
  116. Sun Jul 21 12:05:23 2019  commencing linear algebra
  117. Sun Jul 21 12:05:23 2019  read 4049480 cycles
  118. Sun Jul 21 12:05:31 2019  cycles contain 13098378 unique relations
  119. Sun Jul 21 12:06:22 2019  read 13098378 relations
  120. Sun Jul 21 12:06:43 2019  using 20 quadratic characters above 4294917295
  121. Sun Jul 21 12:07:30 2019  building initial matrix
  122. Sun Jul 21 12:09:42 2019  memory use: 1817.5 MB
  123. Sun Jul 21 12:09:45 2019  read 4049480 cycles
  124. Sun Jul 21 12:09:45 2019  matrix is 4049300 x 4049480 (1904.2 MB) with weight 590224730 (145.75/col)
  125. Sun Jul 21 12:09:45 2019  sparse part has weight 450578951 (111.27/col)
  126. Sun Jul 21 12:10:23 2019  filtering completed in 2 passes
  127. Sun Jul 21 12:10:24 2019  matrix is 4049221 x 4049401 (1904.2 MB) with weight 590220637 (145.76/col)
  128. Sun Jul 21 12:10:24 2019  sparse part has weight 450577695 (111.27/col)
  129. Sun Jul 21 12:10:36 2019  matrix starts at (0, 0)
  130. Sun Jul 21 12:10:36 2019  matrix is 4049221 x 4049401 (1904.2 MB) with weight 590220637 (145.76/col)
  131. Sun Jul 21 12:10:36 2019  sparse part has weight 450577695 (111.27/col)
  132. Sun Jul 21 12:10:36 2019  saving the first 48 matrix rows for later
  133. Sun Jul 21 12:10:37 2019  matrix includes 128 packed rows
  134. Sun Jul 21 12:10:37 2019  matrix is 4049173 x 4049401 (1808.1 MB) with weight 508163521 (125.49/col)
  135. Sun Jul 21 12:10:37 2019  sparse part has weight 425386209 (105.05/col)
  136. Sun Jul 21 12:10:37 2019  using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  137. Sun Jul 21 12:10:55 2019  commencing Lanczos iteration (8 threads)
  138. Sun Jul 21 12:10:55 2019  memory use: 1514.7 MB
  139. Sun Jul 21 12:11:02 2019  linear algebra at 0.0%, ETA 4h26m
  140. Sun Jul 21 12:11:04 2019  checkpointing every 910000 dimensions
  141. Sun Jul 21 16:44:45 2019  lanczos halted after 64037 iterations (dim = 4049173)
  142. Sun Jul 21 16:44:48 2019  recovered 31 nontrivial dependencies
  143. Sun Jul 21 16:44:49 2019  BLanczosTime: 16766
  144. Sun Jul 21 16:44:49 2019  
  145. Sun Jul 21 16:44:49 2019  commencing square root phase
  146. Sun Jul 21 16:44:49 2019  handling dependencies 1 to 64
  147. Sun Jul 21 16:44:49 2019  reading relations for dependency 1
  148. Sun Jul 21 16:44:50 2019  read 2026108 cycles
  149. Sun Jul 21 16:44:53 2019  cycles contain 6552232 unique relations
  150. Sun Jul 21 16:45:20 2019  read 6552232 relations
  151. Sun Jul 21 16:45:45 2019  multiplying 6552232 relations
  152. Sun Jul 21 16:49:49 2019  multiply complete, coefficients have about 315.20 million bits
  153. Sun Jul 21 16:49:51 2019  initial square root is modulo 452773
  154. Sun Jul 21 16:54:30 2019  GCD is 1, no factor found
  155. Sun Jul 21 16:54:30 2019  reading relations for dependency 2
  156. Sun Jul 21 16:54:31 2019  read 2026469 cycles
  157. Sun Jul 21 16:54:34 2019  cycles contain 6551518 unique relations
  158. Sun Jul 21 16:55:01 2019  read 6551518 relations
  159. Sun Jul 21 16:55:26 2019  multiplying 6551518 relations
  160. Sun Jul 21 16:59:30 2019  multiply complete, coefficients have about 315.17 million bits
  161. Sun Jul 21 16:59:32 2019  initial square root is modulo 452009
  162. Sun Jul 21 17:04:11 2019  sqrtTime: 1162
  163. Sun Jul 21 17:04:11 2019  p57 factor: 690413085698992816316464706645996352756086727351117324481
  164. Sun Jul 21 17:04:11 2019  p101 factor: 15322575087670989627269431478424163518435892308409313695860072997850798698283373922745686492071388201
  165. Sun Jul 21 17:04:11 2019  elapsed time 05:16:01
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