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C154_P159_plus_1

mersenneforum May 9th, 2016 124 Never
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  1. Fri May 06 12:46:06 2016  
  2. Fri May 06 12:46:06 2016  
  3. Fri May 06 12:46:06 2016  Msieve v. 1.52 (SVN unknown)
  4. Fri May 06 12:46:06 2016  random seeds: 2a213480 90b3139f
  5. Fri May 06 12:46:06 2016  factoring 2522307487672037680093292821718856915147042456391580334755074350941494247522322109243435115854528991350768307899683200724825969502610855709121137375805723 (154 digits)
  6. Fri May 06 12:46:07 2016  no P-1/P+1/ECM available, skipping
  7. Fri May 06 12:46:07 2016  commencing number field sieve (154-digit input)
  8. Fri May 06 12:46:07 2016  R0: -795453083840817480402727009109
  9. Fri May 06 12:46:07 2016  R1: 47832050771999
  10. Fri May 06 12:46:07 2016  A0: 7978801607382516488215671294652731000
  11. Fri May 06 12:46:07 2016  A1: 307621010921458639435516900400420
  12. Fri May 06 12:46:07 2016  A2: 116657884644772860039184612
  13. Fri May 06 12:46:07 2016  A3: -3088368232817129629
  14. Fri May 06 12:46:07 2016  A4: -543000568716
  15. Fri May 06 12:46:07 2016  A5: 7920
  16. Fri May 06 12:46:07 2016  skew 1.00, size 6.341e-015, alpha -7.707, combined = 2.351e-014 rroots = 5
  17. Fri May 06 12:46:07 2016  
  18. Fri May 06 12:46:07 2016  commencing relation filtering
  19. Fri May 06 12:46:07 2016  setting target matrix density to 75.0
  20. Fri May 06 12:46:07 2016  estimated available RAM is 16335.3 MB
  21. Fri May 06 12:46:08 2016  commencing duplicate removal, pass 1
  22. Fri May 06 12:49:50 2016  error -15 reading relation 21482187
  23. Fri May 06 12:51:45 2016  error -1 reading relation 32737053
  24. Fri May 06 12:51:45 2016  error -15 reading relation 32785883
  25. Fri May 06 12:53:18 2016  error -15 reading relation 41823513
  26. Fri May 06 12:53:51 2016  error -9 reading relation 45182841
  27. Fri May 06 12:53:52 2016  error -1 reading relation 45229474
  28. Fri May 06 12:54:17 2016  error -9 reading relation 47792983
  29. Fri May 06 12:54:59 2016  error -15 reading relation 52048348
  30. Fri May 06 12:55:36 2016  found 10928678 hash collisions in 55865954 relations
  31. Fri May 06 12:56:24 2016  added 121398 free relations
  32. Fri May 06 12:56:24 2016  commencing duplicate removal, pass 2
  33. Fri May 06 12:56:47 2016  found 10749858 duplicates and 45237494 unique relations
  34. Fri May 06 12:56:47 2016  memory use: 330.4 MB
  35. Fri May 06 12:56:47 2016  reading ideals above 720000
  36. Fri May 06 12:56:48 2016  commencing singleton removal, initial pass
  37. Fri May 06 13:05:47 2016  memory use: 1378.0 MB
  38. Fri May 06 13:05:47 2016  reading all ideals from disk
  39. Fri May 06 13:05:48 2016  memory use: 1611.2 MB
  40. Fri May 06 13:05:51 2016  keeping 43859391 ideals with weight <= 200, target excess is 248420
  41. Fri May 06 13:05:55 2016  commencing in-memory singleton removal
  42. Fri May 06 13:05:58 2016  begin with 45237494 relations and 43859391 unique ideals
  43. Fri May 06 13:06:24 2016  reduce to 25834586 relations and 22027242 ideals in 13 passes
  44. Fri May 06 13:06:24 2016  max relations containing the same ideal: 149
  45. Fri May 06 13:06:34 2016  removing 2381633 relations and 1981634 ideals in 400000 cliques
  46. Fri May 06 13:06:34 2016  commencing in-memory singleton removal
  47. Fri May 06 13:06:36 2016  begin with 23452953 relations and 22027242 unique ideals
  48. Fri May 06 13:06:47 2016  reduce to 23316369 relations and 19906272 ideals in 7 passes
  49. Fri May 06 13:06:47 2016  max relations containing the same ideal: 138
  50. Fri May 06 13:06:56 2016  removing 1772399 relations and 1372399 ideals in 400000 cliques
  51. Fri May 06 13:06:56 2016  commencing in-memory singleton removal
  52. Fri May 06 13:06:58 2016  begin with 21543970 relations and 19906272 unique ideals
  53. Fri May 06 13:07:08 2016  reduce to 21459864 relations and 18448311 ideals in 7 passes
  54. Fri May 06 13:07:08 2016  max relations containing the same ideal: 132
  55. Fri May 06 13:07:16 2016  removing 1575532 relations and 1175532 ideals in 400000 cliques
  56. Fri May 06 13:07:16 2016  commencing in-memory singleton removal
  57. Fri May 06 13:07:17 2016  begin with 19884332 relations and 18448311 unique ideals
  58. Fri May 06 13:07:25 2016  reduce to 19812843 relations and 17200087 ideals in 6 passes
  59. Fri May 06 13:07:25 2016  max relations containing the same ideal: 125
  60. Fri May 06 13:07:32 2016  removing 1466327 relations and 1066327 ideals in 400000 cliques
  61. Fri May 06 13:07:33 2016  commencing in-memory singleton removal
  62. Fri May 06 13:07:34 2016  begin with 18346516 relations and 17200087 unique ideals
  63. Fri May 06 13:07:41 2016  reduce to 18280824 relations and 16066827 ideals in 6 passes
  64. Fri May 06 13:07:41 2016  max relations containing the same ideal: 117
  65. Fri May 06 13:07:48 2016  removing 1395749 relations and 995749 ideals in 400000 cliques
  66. Fri May 06 13:07:48 2016  commencing in-memory singleton removal
  67. Fri May 06 13:07:49 2016  begin with 16885075 relations and 16066827 unique ideals
  68. Fri May 06 13:07:56 2016  reduce to 16820846 relations and 15005666 ideals in 6 passes
  69. Fri May 06 13:07:56 2016  max relations containing the same ideal: 112
  70. Fri May 06 13:08:02 2016  removing 1345917 relations and 945917 ideals in 400000 cliques
  71. Fri May 06 13:08:03 2016  commencing in-memory singleton removal
  72. Fri May 06 13:08:03 2016  begin with 15474929 relations and 15005666 unique ideals
  73. Fri May 06 13:08:10 2016  reduce to 15410888 relations and 13994402 ideals in 6 passes
  74. Fri May 06 13:08:10 2016  max relations containing the same ideal: 103
  75. Fri May 06 13:08:15 2016  removing 1310057 relations and 910057 ideals in 400000 cliques
  76. Fri May 06 13:08:15 2016  commencing in-memory singleton removal
  77. Fri May 06 13:08:16 2016  begin with 14100831 relations and 13994402 unique ideals
  78. Fri May 06 13:08:22 2016  reduce to 14034157 relations and 13016238 ideals in 6 passes
  79. Fri May 06 13:08:22 2016  max relations containing the same ideal: 101
  80. Fri May 06 13:08:27 2016  removing 1286082 relations and 886082 ideals in 400000 cliques
  81. Fri May 06 13:08:27 2016  commencing in-memory singleton removal
  82. Fri May 06 13:08:28 2016  begin with 12748075 relations and 13016238 unique ideals
  83. Fri May 06 13:08:33 2016  reduce to 12675300 relations and 12055618 ideals in 6 passes
  84. Fri May 06 13:08:33 2016  max relations containing the same ideal: 93
  85. Fri May 06 13:08:37 2016  removing 1089771 relations and 758257 ideals in 331514 cliques
  86. Fri May 06 13:08:38 2016  commencing in-memory singleton removal
  87. Fri May 06 13:08:38 2016  begin with 11585529 relations and 12055618 unique ideals
  88. Fri May 06 13:08:43 2016  reduce to 11526392 relations and 11236834 ideals in 7 passes
  89. Fri May 06 13:08:43 2016  max relations containing the same ideal: 89
  90. Fri May 06 13:08:49 2016  relations with 0 large ideals: 617
  91. Fri May 06 13:08:49 2016  relations with 1 large ideals: 3243
  92. Fri May 06 13:08:49 2016  relations with 2 large ideals: 44429
  93. Fri May 06 13:08:49 2016  relations with 3 large ideals: 309950
  94. Fri May 06 13:08:49 2016  relations with 4 large ideals: 1141480
  95. Fri May 06 13:08:49 2016  relations with 5 large ideals: 2438590
  96. Fri May 06 13:08:49 2016  relations with 6 large ideals: 3210103
  97. Fri May 06 13:08:49 2016  relations with 7+ large ideals: 4377980
  98. Fri May 06 13:08:49 2016  commencing 2-way merge
  99. Fri May 06 13:08:55 2016  reduce to 8036792 relation sets and 7747234 unique ideals
  100. Fri May 06 13:08:55 2016  commencing full merge
  101. Fri May 06 13:10:26 2016  memory use: 879.3 MB
  102. Fri May 06 13:10:27 2016  found 4144268 cycles, need 4103434
  103. Fri May 06 13:10:27 2016  weight of 4103434 cycles is about 308166071 (75.10/cycle)
  104. Fri May 06 13:10:27 2016  distribution of cycle lengths:
  105. Fri May 06 13:10:27 2016  1 relations: 225831
  106. Fri May 06 13:10:27 2016  2 relations: 435386
  107. Fri May 06 13:10:27 2016  3 relations: 531836
  108. Fri May 06 13:10:27 2016  4 relations: 535083
  109. Fri May 06 13:10:27 2016  5 relations: 516879
  110. Fri May 06 13:10:27 2016  6 relations: 454727
  111. Fri May 06 13:10:27 2016  7 relations: 386059
  112. Fri May 06 13:10:27 2016  8 relations: 307436
  113. Fri May 06 13:10:27 2016  9 relations: 234608
  114. Fri May 06 13:10:27 2016  10+ relations: 475589
  115. Fri May 06 13:10:27 2016  heaviest cycle: 17 relations
  116. Fri May 06 13:10:28 2016  commencing cycle optimization
  117. Fri May 06 13:10:32 2016  start with 22848708 relations
  118. Fri May 06 13:11:02 2016  pruned 732090 relations
  119. Fri May 06 13:11:02 2016  memory use: 721.8 MB
  120. Fri May 06 13:11:02 2016  distribution of cycle lengths:
  121. Fri May 06 13:11:02 2016  1 relations: 225831
  122. Fri May 06 13:11:02 2016  2 relations: 447581
  123. Fri May 06 13:11:02 2016  3 relations: 557808
  124. Fri May 06 13:11:02 2016  4 relations: 556031
  125. Fri May 06 13:11:02 2016  5 relations: 537322
  126. Fri May 06 13:11:02 2016  6 relations: 466158
  127. Fri May 06 13:11:02 2016  7 relations: 389827
  128. Fri May 06 13:11:02 2016  8 relations: 302887
  129. Fri May 06 13:11:02 2016  9 relations: 224514
  130. Fri May 06 13:11:02 2016  10+ relations: 395475
  131. Fri May 06 13:11:02 2016  heaviest cycle: 17 relations
  132. Fri May 06 13:11:05 2016  RelProcTime: 1498
  133. Fri May 06 13:11:05 2016  
  134. Fri May 06 13:11:05 2016  commencing linear algebra
  135. Fri May 06 13:11:06 2016  read 4103434 cycles
  136. Fri May 06 13:11:11 2016  cycles contain 11380458 unique relations
  137. Fri May 06 13:13:13 2016  read 11380458 relations
  138. Fri May 06 13:13:25 2016  using 20 quadratic characters above 536870792
  139. Fri May 06 13:14:13 2016  building initial matrix
  140. Fri May 06 13:16:10 2016  memory use: 1580.9 MB
  141. Fri May 06 13:16:12 2016  read 4103434 cycles
  142. Fri May 06 13:16:13 2016  matrix is 4103256 x 4103434 (1313.2 MB) with weight 413461170 (100.76/col)
  143. Fri May 06 13:16:13 2016  sparse part has weight 295013060 (71.89/col)
  144. Fri May 06 13:16:44 2016  filtering completed in 2 passes
  145. Fri May 06 13:16:46 2016  matrix is 4102920 x 4103098 (1313.2 MB) with weight 413448550 (100.76/col)
  146. Fri May 06 13:16:46 2016  sparse part has weight 295009483 (71.90/col)
  147. Fri May 06 13:16:53 2016  matrix starts at (0, 0)
  148. Fri May 06 13:16:55 2016  matrix is 4102920 x 4103098 (1313.2 MB) with weight 413448550 (100.76/col)
  149. Fri May 06 13:16:55 2016  sparse part has weight 295009483 (71.90/col)
  150. Fri May 06 13:16:55 2016  saving the first 48 matrix rows for later
  151. Fri May 06 13:16:56 2016  matrix includes 64 packed rows
  152. Fri May 06 13:16:56 2016  matrix is 4102872 x 4103098 (1272.9 MB) with weight 332847649 (81.12/col)
  153. Fri May 06 13:16:56 2016  sparse part has weight 292649690 (71.32/col)
  154. Fri May 06 13:16:57 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  155. Fri May 06 13:17:13 2016  commencing Lanczos iteration (4 threads)
  156. Fri May 06 13:17:13 2016  memory use: 1019.7 MB
  157. Fri May 06 13:17:25 2016  linear algebra at 0.0%, ETA 8h14m
  158. Fri May 06 13:17:28 2016  checkpointing every 530000 dimensions
  159. Fri May 06 21:28:02 2016  lanczos halted after 64894 iterations (dim = 4102872)
  160. Fri May 06 21:28:06 2016  recovered 31 nontrivial dependencies
  161. Fri May 06 21:28:07 2016  BLanczosTime: 29822
  162. Fri May 06 21:28:07 2016  
  163. Fri May 06 21:28:07 2016  commencing square root phase
  164. Fri May 06 21:28:07 2016  handling dependencies 1 to 64
  165. Fri May 06 21:28:07 2016  reading relations for dependency 1
  166. Fri May 06 21:28:08 2016  read 2052525 cycles
  167. Fri May 06 21:28:11 2016  cycles contain 5690540 unique relations
  168. Fri May 06 21:29:19 2016  read 5690540 relations
  169. Fri May 06 21:29:48 2016  multiplying 5690540 relations
  170. Fri May 06 21:36:39 2016  multiply complete, coefficients have about 286.17 million bits
  171. Fri May 06 21:36:42 2016  initial square root is modulo 136429
  172. Fri May 06 21:45:38 2016  GCD is 1, no factor found
  173. Fri May 06 21:45:38 2016  reading relations for dependency 2
  174. Fri May 06 21:45:39 2016  read 2050469 cycles
  175. Fri May 06 21:45:42 2016  cycles contain 5687196 unique relations
  176. Fri May 06 21:46:53 2016  read 5687196 relations
  177. Fri May 06 21:47:23 2016  multiplying 5687196 relations
  178. Fri May 06 21:54:16 2016  multiply complete, coefficients have about 286.00 million bits
  179. Fri May 06 21:54:19 2016  initial square root is modulo 135449
  180. Fri May 06 22:03:06 2016  GCD is N, no factor found
  181. Fri May 06 22:03:06 2016  reading relations for dependency 3
  182. Fri May 06 22:03:07 2016  read 2050894 cycles
  183. Fri May 06 22:03:09 2016  cycles contain 5689952 unique relations
  184. Fri May 06 22:04:17 2016  read 5689952 relations
  185. Fri May 06 22:04:46 2016  multiplying 5689952 relations
  186. Fri May 06 22:11:28 2016  multiply complete, coefficients have about 286.13 million bits
  187. Fri May 06 22:11:32 2016  initial square root is modulo 136309
  188. Fri May 06 22:20:33 2016  sqrtTime: 3146
  189. Fri May 06 22:20:33 2016  prp54 factor: 904104109337089406096596389002478181407937584163924639
  190. Fri May 06 22:20:33 2016  prp100 factor: 2789841857395663650590004348109088189950806390009609804449583739331936209263215412813140776218186757
  191. Fri May 06 22:20:33 2016  elapsed time 09:34:27
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