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Msieve log of C156_230916_6567

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Dec 28th, 2021
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  1. Tue Dec 28 09:00:08 2021
  2. Tue Dec 28 09:00:08 2021
  3. Tue Dec 28 09:00:08 2021 Msieve v. 1.53 (SVN 988)
  4. Tue Dec 28 09:00:08 2021 random seeds: 7ea82f88 5eab7b32
  5. Tue Dec 28 09:00:08 2021 factoring 479271163841723691207665057943856322496828541721549915867702874876733310245204746365296492287626859193261628432669410995233900893392363045009721477225270909 (156 digits)
  6. Tue Dec 28 09:00:09 2021 searching for 15-digit factors
  7. Tue Dec 28 09:00:09 2021 commencing number field sieve (156-digit input)
  8. Tue Dec 28 09:00:09 2021 R0: -4337958051461588706663445161091
  9. Tue Dec 28 09:00:09 2021 R1: 95463209936167507
  10. Tue Dec 28 09:00:09 2021 A0: 19480176040028204107653359247106614683280
  11. Tue Dec 28 09:00:09 2021 A1: 6400079265766601911377665791101112
  12. Tue Dec 28 09:00:09 2021 A2: 73608593221165223318378229
  13. Tue Dec 28 09:00:09 2021 A3: -3742116220332049808
  14. Tue Dec 28 09:00:09 2021 A4: -1123331590
  15. Tue Dec 28 09:00:09 2021 A5: 312
  16. Tue Dec 28 09:00:09 2021 skew 63877027.20, size 3.872e-015, alpha -7.234, combined = 2.534e-012 rroots = 3
  17. Tue Dec 28 09:00:09 2021
  18. Tue Dec 28 09:00:09 2021 commencing relation filtering
  19. Tue Dec 28 09:00:09 2021 setting target matrix density to 110.0
  20. Tue Dec 28 09:00:09 2021 estimated available RAM is 16151.1 MB
  21. Tue Dec 28 09:00:09 2021 commencing duplicate removal, pass 1
  22. Tue Dec 28 09:01:14 2021 error -1 reading relation 6758710
  23. Tue Dec 28 09:01:19 2021 error -9 reading relation 7222536
  24. Tue Dec 28 09:05:47 2021 error -1 reading relation 29509842
  25. Tue Dec 28 09:06:03 2021 error -1 reading relation 30833742
  26. Tue Dec 28 09:06:18 2021 error -15 reading relation 31996599
  27. Tue Dec 28 09:08:06 2021 error -15 reading relation 40835357
  28. Tue Dec 28 09:08:49 2021 error -1 reading relation 44340198
  29. Tue Dec 28 09:09:41 2021 error -9 reading relation 48664401
  30. Tue Dec 28 09:11:36 2021 error -1 reading relation 59130040
  31. Tue Dec 28 09:11:46 2021 error -1 reading relation 60301040
  32. Tue Dec 28 09:11:47 2021 error -9 reading relation 60344715
  33. Tue Dec 28 09:12:45 2021 error -15 reading relation 66097319
  34. Tue Dec 28 09:13:06 2021 skipped 7 relations with composite factors
  35. Tue Dec 28 09:13:06 2021 found 15414415 hash collisions in 68428279 relations
  36. Tue Dec 28 09:13:31 2021 added 122081 free relations
  37. Tue Dec 28 09:13:31 2021 commencing duplicate removal, pass 2
  38. Tue Dec 28 09:14:12 2021 found 15577878 duplicates and 52972482 unique relations
  39. Tue Dec 28 09:14:12 2021 memory use: 362.4 MB
  40. Tue Dec 28 09:14:12 2021 reading ideals above 720000
  41. Tue Dec 28 09:14:12 2021 commencing singleton removal, initial pass
  42. Tue Dec 28 09:23:49 2021 memory use: 1378.0 MB
  43. Tue Dec 28 09:23:49 2021 reading all ideals from disk
  44. Tue Dec 28 09:23:53 2021 memory use: 1901.7 MB
  45. Tue Dec 28 09:24:04 2021 keeping 47601400 ideals with weight <= 200, target excess is 287063
  46. Tue Dec 28 09:24:13 2021 commencing in-memory singleton removal
  47. Tue Dec 28 09:24:22 2021 begin with 52972482 relations and 47601400 unique ideals
  48. Tue Dec 28 09:25:57 2021 reduce to 35911136 relations and 28949352 ideals in 13 passes
  49. Tue Dec 28 09:25:57 2021 max relations containing the same ideal: 160
  50. Tue Dec 28 09:26:27 2021 removing 4398149 relations and 3398149 ideals in 1000000 cliques
  51. Tue Dec 28 09:26:29 2021 commencing in-memory singleton removal
  52. Tue Dec 28 09:26:35 2021 begin with 31512987 relations and 28949352 unique ideals
  53. Tue Dec 28 09:27:00 2021 reduce to 31099543 relations and 25124076 ideals in 7 passes
  54. Tue Dec 28 09:27:00 2021 max relations containing the same ideal: 146
  55. Tue Dec 28 09:27:17 2021 removing 3475274 relations and 2475274 ideals in 1000000 cliques
  56. Tue Dec 28 09:27:18 2021 commencing in-memory singleton removal
  57. Tue Dec 28 09:27:22 2021 begin with 27624269 relations and 25124076 unique ideals
  58. Tue Dec 28 09:27:42 2021 reduce to 27330954 relations and 22346387 ideals in 7 passes
  59. Tue Dec 28 09:27:42 2021 max relations containing the same ideal: 137
  60. Tue Dec 28 09:27:59 2021 removing 3225786 relations and 2225786 ideals in 1000000 cliques
  61. Tue Dec 28 09:28:00 2021 commencing in-memory singleton removal
  62. Tue Dec 28 09:28:02 2021 begin with 24105168 relations and 22346387 unique ideals
  63. Tue Dec 28 09:28:19 2021 reduce to 23833332 relations and 19839792 ideals in 7 passes
  64. Tue Dec 28 09:28:19 2021 max relations containing the same ideal: 129
  65. Tue Dec 28 09:28:33 2021 removing 3107215 relations and 2107215 ideals in 1000000 cliques
  66. Tue Dec 28 09:28:34 2021 commencing in-memory singleton removal
  67. Tue Dec 28 09:28:36 2021 begin with 20726117 relations and 19839792 unique ideals
  68. Tue Dec 28 09:28:51 2021 reduce to 20452290 relations and 17448636 ideals in 7 passes
  69. Tue Dec 28 09:28:51 2021 max relations containing the same ideal: 113
  70. Tue Dec 28 09:29:10 2021 removing 3038475 relations and 2038475 ideals in 1000000 cliques
  71. Tue Dec 28 09:29:12 2021 commencing in-memory singleton removal
  72. Tue Dec 28 09:29:14 2021 begin with 17413815 relations and 17448636 unique ideals
  73. Tue Dec 28 09:29:36 2021 reduce to 17121204 relations and 15105376 ideals in 7 passes
  74. Tue Dec 28 09:29:36 2021 max relations containing the same ideal: 104
  75. Tue Dec 28 09:29:51 2021 removing 2995440 relations and 1995440 ideals in 1000000 cliques
  76. Tue Dec 28 09:29:52 2021 commencing in-memory singleton removal
  77. Tue Dec 28 09:29:54 2021 begin with 14125764 relations and 15105376 unique ideals
  78. Tue Dec 28 09:30:14 2021 reduce to 13793468 relations and 12761048 ideals in 8 passes
  79. Tue Dec 28 09:30:14 2021 max relations containing the same ideal: 92
  80. Tue Dec 28 09:30:26 2021 removing 2228124 relations and 1528698 ideals in 699426 cliques
  81. Tue Dec 28 09:30:27 2021 commencing in-memory singleton removal
  82. Tue Dec 28 09:30:29 2021 begin with 11565344 relations and 12761048 unique ideals
  83. Tue Dec 28 09:30:46 2021 reduce to 11330716 relations and 10987465 ideals in 8 passes
  84. Tue Dec 28 09:30:46 2021 max relations containing the same ideal: 75
  85. Tue Dec 28 09:30:57 2021 removing 66162 relations and 55905 ideals in 10257 cliques
  86. Tue Dec 28 09:30:57 2021 commencing in-memory singleton removal
  87. Tue Dec 28 09:30:59 2021 begin with 11264554 relations and 10987465 unique ideals
  88. Tue Dec 28 09:31:08 2021 reduce to 11264337 relations and 10931343 ideals in 5 passes
  89. Tue Dec 28 09:31:08 2021 max relations containing the same ideal: 75
  90. Tue Dec 28 09:31:11 2021 relations with 0 large ideals: 896
  91. Tue Dec 28 09:31:11 2021 relations with 1 large ideals: 4109
  92. Tue Dec 28 09:31:11 2021 relations with 2 large ideals: 58028
  93. Tue Dec 28 09:31:11 2021 relations with 3 large ideals: 371452
  94. Tue Dec 28 09:31:11 2021 relations with 4 large ideals: 1264551
  95. Tue Dec 28 09:31:11 2021 relations with 5 large ideals: 2523031
  96. Tue Dec 28 09:31:11 2021 relations with 6 large ideals: 3123934
  97. Tue Dec 28 09:31:11 2021 relations with 7+ large ideals: 3918336
  98. Tue Dec 28 09:31:11 2021 commencing 2-way merge
  99. Tue Dec 28 09:31:26 2021 reduce to 7554459 relation sets and 7221465 unique ideals
  100. Tue Dec 28 09:31:26 2021 commencing full merge
  101. Tue Dec 28 09:35:18 2021 memory use: 905.7 MB
  102. Tue Dec 28 09:35:19 2021 found 3502548 cycles, need 3465665
  103. Tue Dec 28 09:35:20 2021 weight of 3465665 cycles is about 381918773 (110.20/cycle)
  104. Tue Dec 28 09:35:20 2021 distribution of cycle lengths:
  105. Tue Dec 28 09:35:20 2021 1 relations: 119732
  106. Tue Dec 28 09:35:20 2021 2 relations: 219975
  107. Tue Dec 28 09:35:20 2021 3 relations: 272742
  108. Tue Dec 28 09:35:20 2021 4 relations: 289147
  109. Tue Dec 28 09:35:20 2021 5 relations: 303203
  110. Tue Dec 28 09:35:20 2021 6 relations: 298902
  111. Tue Dec 28 09:35:20 2021 7 relations: 289317
  112. Tue Dec 28 09:35:20 2021 8 relations: 267907
  113. Tue Dec 28 09:35:20 2021 9 relations: 244407
  114. Tue Dec 28 09:35:20 2021 10+ relations: 1160333
  115. Tue Dec 28 09:35:20 2021 heaviest cycle: 25 relations
  116. Tue Dec 28 09:35:21 2021 commencing cycle optimization
  117. Tue Dec 28 09:35:27 2021 start with 27806417 relations
  118. Tue Dec 28 09:37:18 2021 pruned 1298462 relations
  119. Tue Dec 28 09:37:18 2021 memory use: 755.2 MB
  120. Tue Dec 28 09:37:18 2021 distribution of cycle lengths:
  121. Tue Dec 28 09:37:18 2021 1 relations: 119732
  122. Tue Dec 28 09:37:18 2021 2 relations: 226897
  123. Tue Dec 28 09:37:18 2021 3 relations: 286401
  124. Tue Dec 28 09:37:18 2021 4 relations: 303307
  125. Tue Dec 28 09:37:18 2021 5 relations: 320669
  126. Tue Dec 28 09:37:18 2021 6 relations: 315094
  127. Tue Dec 28 09:37:18 2021 7 relations: 304786
  128. Tue Dec 28 09:37:18 2021 8 relations: 280366
  129. Tue Dec 28 09:37:18 2021 9 relations: 253504
  130. Tue Dec 28 09:37:18 2021 10+ relations: 1054909
  131. Tue Dec 28 09:37:18 2021 heaviest cycle: 25 relations
  132. Tue Dec 28 09:37:28 2021 RelProcTime: 2239
  133. Tue Dec 28 09:37:28 2021
  134. Tue Dec 28 09:37:28 2021 commencing linear algebra
  135. Tue Dec 28 09:37:29 2021 read 3465665 cycles
  136. Tue Dec 28 09:37:40 2021 cycles contain 11096336 unique relations
  137. Tue Dec 28 09:39:35 2021 read 11096336 relations
  138. Tue Dec 28 09:40:07 2021 using 20 quadratic characters above 4294917295
  139. Tue Dec 28 09:41:05 2021 building initial matrix
  140. Tue Dec 28 09:44:17 2021 memory use: 1558.5 MB
  141. Tue Dec 28 09:44:22 2021 read 3465665 cycles
  142. Tue Dec 28 09:44:23 2021 matrix is 3465486 x 3465665 (1514.9 MB) with weight 469766685 (135.55/col)
  143. Tue Dec 28 09:44:23 2021 sparse part has weight 355538554 (102.59/col)
  144. Tue Dec 28 09:45:08 2021 filtering completed in 2 passes
  145. Tue Dec 28 09:45:09 2021 matrix is 3465347 x 3465526 (1514.9 MB) with weight 469760223 (135.55/col)
  146. Tue Dec 28 09:45:09 2021 sparse part has weight 355536789 (102.59/col)
  147. Tue Dec 28 09:45:21 2021 matrix starts at (0, 0)
  148. Tue Dec 28 09:45:22 2021 matrix is 3465347 x 3465526 (1514.9 MB) with weight 469760223 (135.55/col)
  149. Tue Dec 28 09:45:22 2021 sparse part has weight 355536789 (102.59/col)
  150. Tue Dec 28 09:45:22 2021 saving the first 48 matrix rows for later
  151. Tue Dec 28 09:45:23 2021 matrix includes 64 packed rows
  152. Tue Dec 28 09:45:24 2021 matrix is 3465299 x 3465526 (1475.3 MB) with weight 397883889 (114.81/col)
  153. Tue Dec 28 09:45:24 2021 sparse part has weight 352096368 (101.60/col)
  154. Tue Dec 28 09:45:24 2021 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  155. Tue Dec 28 09:45:43 2021 commencing Lanczos iteration (6 threads)
  156. Tue Dec 28 09:45:43 2021 memory use: 1200.9 MB
  157. Tue Dec 28 09:45:58 2021 linear algebra at 0.0%, ETA 9h30m
  158. Tue Dec 28 09:46:03 2021 checkpointing every 370000 dimensions
  159. Tue Dec 28 19:24:37 2021 lanczos halted after 54801 iterations (dim = 3465299)
  160. Tue Dec 28 19:24:40 2021 recovered 34 nontrivial dependencies
  161. Tue Dec 28 19:24:41 2021 BLanczosTime: 35233
  162. Tue Dec 28 19:24:41 2021
  163. Tue Dec 28 19:24:41 2021 commencing square root phase
  164. Tue Dec 28 19:24:41 2021 handling dependencies 1 to 64
  165. Tue Dec 28 19:24:41 2021 reading relations for dependency 1
  166. Tue Dec 28 19:24:41 2021 read 1732827 cycles
  167. Tue Dec 28 19:24:46 2021 cycles contain 5547528 unique relations
  168. Tue Dec 28 19:25:24 2021 read 5547528 relations
  169. Tue Dec 28 19:25:53 2021 multiplying 5547528 relations
  170. Tue Dec 28 19:29:49 2021 multiply complete, coefficients have about 253.04 million bits
  171. Tue Dec 28 19:29:51 2021 initial square root is modulo 1204668823
  172. Tue Dec 28 19:34:44 2021 sqrtTime: 603
  173. Tue Dec 28 19:34:44 2021 p74 factor: 12814282117940837120164584844247765794343621384271058980146367108325297303
  174. Tue Dec 28 19:34:44 2021 p83 factor: 37401327630418918599615345622749069571705413750124454451685425877844382160593493003
  175. Tue Dec 28 19:34:44 2021 elapsed time 10:34:36
  176.  
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