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P49_5_minus1

CarlosPinho May 31st, 2016 30 Never
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  1. Thu May 12 10:37:13 2016  
  2. Thu May 12 10:37:13 2016  
  3. Thu May 12 10:37:13 2016  Msieve v. 1.52 (SVN unknown)
  4. Thu May 12 10:37:13 2016  random seeds: a74414b0 ded852a2
  5. Thu May 12 10:37:13 2016  factoring 300911822686298141937410902293155005199492223050905788286049370638958897273949150396740055698769073955953095109639041803350527646307710577918584595128129907326157513725111 (171 digits)
  6. Thu May 12 10:37:14 2016  no P-1/P+1/ECM available, skipping
  7. Thu May 12 10:37:14 2016  commencing number field sieve (171-digit input)
  8. Thu May 12 10:37:14 2016  R0: -18235585058347355670053250479221912692450174779629
  9. Thu May 12 10:37:14 2016  R1: 1
  10. Thu May 12 10:37:14 2016  A0: 1
  11. Thu May 12 10:37:14 2016  A1: 1
  12. Thu May 12 10:37:14 2016  A2: 1
  13. Thu May 12 10:37:14 2016  A3: 1
  14. Thu May 12 10:37:14 2016  A4: 1
  15. Thu May 12 10:37:14 2016  skew 1.00, size 4.042e-020, alpha 1.694, combined = 4.665e-012 rroots = 0
  16. Thu May 12 10:37:14 2016  
  17. Thu May 12 10:37:14 2016  commencing relation filtering
  18. Thu May 12 10:37:14 2016  setting target matrix density to 120.0
  19. Thu May 12 10:37:14 2016  estimated available RAM is 16335.3 MB
  20. Thu May 12 10:37:14 2016  commencing duplicate removal, pass 1
  21. Thu May 12 10:39:29 2016  error -15 reading relation 14233273
  22. Thu May 12 10:41:01 2016  error -15 reading relation 24332846
  23. Thu May 12 10:54:21 2016  error -9 reading relation 113956468
  24. Thu May 12 10:56:40 2016  error -15 reading relation 130581342
  25. Thu May 12 10:56:40 2016  error -11 reading relation 130591638
  26. Thu May 12 10:57:02 2016  error -9 reading relation 133105566
  27. Thu May 12 10:57:16 2016  skipped 88 relations with b > 2^32
  28. Thu May 12 10:57:16 2016  found 18079566 hash collisions in 134900669 relations
  29. Thu May 12 10:57:30 2016  added 3657740 free relations
  30. Thu May 12 10:57:30 2016  commencing duplicate removal, pass 2
  31. Thu May 12 10:58:23 2016  found 13532835 duplicates and 125025574 unique relations
  32. Thu May 12 10:58:23 2016  memory use: 660.8 MB
  33. Thu May 12 10:58:23 2016  reading ideals above 51970048
  34. Thu May 12 10:58:23 2016  commencing singleton removal, initial pass
  35. Thu May 12 11:19:28 2016  memory use: 2756.0 MB
  36. Thu May 12 11:19:28 2016  reading all ideals from disk
  37. Thu May 12 11:19:29 2016  memory use: 2159.8 MB
  38. Thu May 12 11:19:34 2016  commencing in-memory singleton removal
  39. Thu May 12 11:19:38 2016  begin with 125025574 relations and 86703307 unique ideals
  40. Thu May 12 11:20:19 2016  reduce to 96156295 relations and 55714337 ideals in 10 passes
  41. Thu May 12 11:20:19 2016  max relations containing the same ideal: 96
  42. Thu May 12 11:20:26 2016  reading ideals above 720000
  43. Thu May 12 11:20:26 2016  commencing singleton removal, initial pass
  44. Thu May 12 11:39:43 2016  memory use: 1506.0 MB
  45. Thu May 12 11:39:43 2016  reading all ideals from disk
  46. Thu May 12 11:40:17 2016  memory use: 3446.2 MB
  47. Thu May 12 11:40:25 2016  keeping 61442495 ideals with weight <= 200, target excess is 496339
  48. Thu May 12 11:40:34 2016  commencing in-memory singleton removal
  49. Thu May 12 11:40:41 2016  begin with 96156295 relations and 61442495 unique ideals
  50. Thu May 12 11:40:55 2016  reduce to 96156294 relations and 61442494 ideals in 2 passes
  51. Thu May 12 11:40:55 2016  max relations containing the same ideal: 200
  52. Thu May 12 11:41:27 2016  removing 6808129 relations and 4808129 ideals in 2000000 cliques
  53. Thu May 12 11:41:30 2016  commencing in-memory singleton removal
  54. Thu May 12 11:41:36 2016  begin with 89348165 relations and 61442494 unique ideals
  55. Thu May 12 11:42:15 2016  reduce to 88913949 relations and 56188106 ideals in 6 passes
  56. Thu May 12 11:42:15 2016  max relations containing the same ideal: 199
  57. Thu May 12 11:42:46 2016  removing 5605982 relations and 3605982 ideals in 2000000 cliques
  58. Thu May 12 11:42:48 2016  commencing in-memory singleton removal
  59. Thu May 12 11:42:53 2016  begin with 83307967 relations and 56188106 unique ideals
  60. Thu May 12 11:43:36 2016  reduce to 83032774 relations and 52300216 ideals in 7 passes
  61. Thu May 12 11:43:36 2016  max relations containing the same ideal: 193
  62. Thu May 12 11:44:05 2016  removing 5273553 relations and 3273553 ideals in 2000000 cliques
  63. Thu May 12 11:44:06 2016  commencing in-memory singleton removal
  64. Thu May 12 11:44:12 2016  begin with 77759221 relations and 52300216 unique ideals
  65. Thu May 12 11:44:46 2016  reduce to 77531496 relations and 48793529 ideals in 6 passes
  66. Thu May 12 11:44:46 2016  max relations containing the same ideal: 187
  67. Thu May 12 11:45:12 2016  removing 5087505 relations and 3087505 ideals in 2000000 cliques
  68. Thu May 12 11:45:14 2016  commencing in-memory singleton removal
  69. Thu May 12 11:45:19 2016  begin with 72443991 relations and 48793529 unique ideals
  70. Thu May 12 11:45:50 2016  reduce to 72240795 relations and 45497912 ideals in 6 passes
  71. Thu May 12 11:45:50 2016  max relations containing the same ideal: 179
  72. Thu May 12 11:46:15 2016  removing 4958410 relations and 2958410 ideals in 2000000 cliques
  73. Thu May 12 11:46:17 2016  commencing in-memory singleton removal
  74. Thu May 12 11:46:21 2016  begin with 67282385 relations and 45497912 unique ideals
  75. Thu May 12 11:46:50 2016  reduce to 67092712 relations and 42345033 ideals in 6 passes
  76. Thu May 12 11:46:50 2016  max relations containing the same ideal: 172
  77. Thu May 12 11:47:13 2016  removing 4861427 relations and 2861427 ideals in 2000000 cliques
  78. Thu May 12 11:47:15 2016  commencing in-memory singleton removal
  79. Thu May 12 11:47:19 2016  begin with 62231285 relations and 42345033 unique ideals
  80. Thu May 12 11:47:41 2016  reduce to 62050422 relations and 39298058 ideals in 5 passes
  81. Thu May 12 11:47:41 2016  max relations containing the same ideal: 162
  82. Thu May 12 11:48:03 2016  removing 4784873 relations and 2784873 ideals in 2000000 cliques
  83. Thu May 12 11:48:05 2016  commencing in-memory singleton removal
  84. Thu May 12 11:48:08 2016  begin with 57265549 relations and 39298058 unique ideals
  85. Thu May 12 11:48:28 2016  reduce to 57088362 relations and 36331021 ideals in 5 passes
  86. Thu May 12 11:48:28 2016  max relations containing the same ideal: 155
  87. Thu May 12 11:48:48 2016  removing 4720769 relations and 2720769 ideals in 2000000 cliques
  88. Thu May 12 11:48:49 2016  commencing in-memory singleton removal
  89. Thu May 12 11:48:53 2016  begin with 52367593 relations and 36331021 unique ideals
  90. Thu May 12 11:49:15 2016  reduce to 52190465 relations and 33427934 ideals in 6 passes
  91. Thu May 12 11:49:15 2016  max relations containing the same ideal: 147
  92. Thu May 12 11:49:32 2016  removing 4668093 relations and 2668093 ideals in 2000000 cliques
  93. Thu May 12 11:49:34 2016  commencing in-memory singleton removal
  94. Thu May 12 11:49:37 2016  begin with 47522372 relations and 33427934 unique ideals
  95. Thu May 12 11:49:53 2016  reduce to 47343021 relations and 30574920 ideals in 5 passes
  96. Thu May 12 11:49:53 2016  max relations containing the same ideal: 140
  97. Thu May 12 11:50:09 2016  removing 4621457 relations and 2621457 ideals in 2000000 cliques
  98. Thu May 12 11:50:10 2016  commencing in-memory singleton removal
  99. Thu May 12 11:50:13 2016  begin with 42721564 relations and 30574920 unique ideals
  100. Thu May 12 11:50:28 2016  reduce to 42536151 relations and 27762070 ideals in 5 passes
  101. Thu May 12 11:50:28 2016  max relations containing the same ideal: 132
  102. Thu May 12 11:50:42 2016  removing 4580563 relations and 2580563 ideals in 2000000 cliques
  103. Thu May 12 11:50:43 2016  commencing in-memory singleton removal
  104. Thu May 12 11:50:45 2016  begin with 37955588 relations and 27762070 unique ideals
  105. Thu May 12 11:50:58 2016  reduce to 37761324 relations and 24980546 ideals in 5 passes
  106. Thu May 12 11:50:58 2016  max relations containing the same ideal: 121
  107. Thu May 12 11:51:11 2016  removing 4546727 relations and 2546727 ideals in 2000000 cliques
  108. Thu May 12 11:51:12 2016  commencing in-memory singleton removal
  109. Thu May 12 11:51:14 2016  begin with 33214597 relations and 24980546 unique ideals
  110. Thu May 12 11:51:27 2016  reduce to 33006735 relations and 22218224 ideals in 6 passes
  111. Thu May 12 11:51:27 2016  max relations containing the same ideal: 109
  112. Thu May 12 11:51:38 2016  removing 4515564 relations and 2515564 ideals in 2000000 cliques
  113. Thu May 12 11:51:39 2016  commencing in-memory singleton removal
  114. Thu May 12 11:51:41 2016  begin with 28491171 relations and 22218224 unique ideals
  115. Thu May 12 11:51:52 2016  reduce to 28262539 relations and 19464553 ideals in 6 passes
  116. Thu May 12 11:51:52 2016  max relations containing the same ideal: 98
  117. Thu May 12 11:52:01 2016  removing 4489535 relations and 2489535 ideals in 2000000 cliques
  118. Thu May 12 11:52:02 2016  commencing in-memory singleton removal
  119. Thu May 12 11:52:03 2016  begin with 23773004 relations and 19464553 unique ideals
  120. Thu May 12 11:52:11 2016  reduce to 23515590 relations and 16705639 ideals in 5 passes
  121. Thu May 12 11:52:11 2016  max relations containing the same ideal: 84
  122. Thu May 12 11:52:18 2016  removing 4466637 relations and 2466637 ideals in 2000000 cliques
  123. Thu May 12 11:52:19 2016  commencing in-memory singleton removal
  124. Thu May 12 11:52:20 2016  begin with 19048953 relations and 16705639 unique ideals
  125. Thu May 12 11:52:27 2016  reduce to 18748486 relations and 13922271 ideals in 6 passes
  126. Thu May 12 11:52:27 2016  max relations containing the same ideal: 72
  127. Thu May 12 11:52:33 2016  removing 4441175 relations and 2441175 ideals in 2000000 cliques
  128. Thu May 12 11:52:34 2016  commencing in-memory singleton removal
  129. Thu May 12 11:52:35 2016  begin with 14307311 relations and 13922271 unique ideals
  130. Thu May 12 11:52:40 2016  reduce to 13948184 relations and 11098848 ideals in 6 passes
  131. Thu May 12 11:52:40 2016  max relations containing the same ideal: 58
  132. Thu May 12 11:52:44 2016  removing 4404962 relations and 2404962 ideals in 2000000 cliques
  133. Thu May 12 11:52:45 2016  commencing in-memory singleton removal
  134. Thu May 12 11:52:45 2016  begin with 9543222 relations and 11098848 unique ideals
  135. Thu May 12 11:52:49 2016  reduce to 9128150 relations and 8246356 ideals in 7 passes
  136. Thu May 12 11:52:49 2016  max relations containing the same ideal: 45
  137. Thu May 12 11:52:52 2016  removing 900274 relations and 594234 ideals in 306040 cliques
  138. Thu May 12 11:52:52 2016  commencing in-memory singleton removal
  139. Thu May 12 11:52:52 2016  begin with 8227876 relations and 8246356 unique ideals
  140. Thu May 12 11:52:55 2016  reduce to 8121623 relations and 7541947 ideals in 6 passes
  141. Thu May 12 11:52:55 2016  max relations containing the same ideal: 43
  142. Thu May 12 11:52:58 2016  relations with 0 large ideals: 38091
  143. Thu May 12 11:52:58 2016  relations with 1 large ideals: 18278
  144. Thu May 12 11:52:58 2016  relations with 2 large ideals: 163349
  145. Thu May 12 11:52:58 2016  relations with 3 large ideals: 667475
  146. Thu May 12 11:52:58 2016  relations with 4 large ideals: 1552978
  147. Thu May 12 11:52:58 2016  relations with 5 large ideals: 2449622
  148. Thu May 12 11:52:58 2016  relations with 6 large ideals: 1829579
  149. Thu May 12 11:52:58 2016  relations with 7+ large ideals: 1402251
  150. Thu May 12 11:52:58 2016  commencing 2-way merge
  151. Thu May 12 11:53:02 2016  reduce to 6612053 relation sets and 6032376 unique ideals
  152. Thu May 12 11:53:02 2016  commencing full merge
  153. Thu May 12 11:54:58 2016  memory use: 688.3 MB
  154. Thu May 12 11:54:59 2016  found 2716879 cycles, need 2706576
  155. Thu May 12 11:54:59 2016  weight of 2706576 cycles is about 325552160 (120.28/cycle)
  156. Thu May 12 11:54:59 2016  distribution of cycle lengths:
  157. Thu May 12 11:54:59 2016  1 relations: 81837
  158. Thu May 12 11:54:59 2016  2 relations: 129818
  159. Thu May 12 11:54:59 2016  3 relations: 177645
  160. Thu May 12 11:54:59 2016  4 relations: 192203
  161. Thu May 12 11:54:59 2016  5 relations: 197066
  162. Thu May 12 11:54:59 2016  6 relations: 192820
  163. Thu May 12 11:54:59 2016  7 relations: 185357
  164. Thu May 12 11:54:59 2016  8 relations: 175107
  165. Thu May 12 11:54:59 2016  9 relations: 163573
  166. Thu May 12 11:54:59 2016  10+ relations: 1211150
  167. Thu May 12 11:54:59 2016  heaviest cycle: 28 relations
  168. Thu May 12 11:54:59 2016  commencing cycle optimization
  169. Thu May 12 11:55:04 2016  start with 26530419 relations
  170. Thu May 12 11:56:15 2016  pruned 2003455 relations
  171. Thu May 12 11:56:15 2016  memory use: 602.4 MB
  172. Thu May 12 11:56:15 2016  distribution of cycle lengths:
  173. Thu May 12 11:56:15 2016  1 relations: 81837
  174. Thu May 12 11:56:15 2016  2 relations: 134556
  175. Thu May 12 11:56:15 2016  3 relations: 189018
  176. Thu May 12 11:56:15 2016  4 relations: 206653
  177. Thu May 12 11:56:15 2016  5 relations: 215125
  178. Thu May 12 11:56:15 2016  6 relations: 209923
  179. Thu May 12 11:56:15 2016  7 relations: 202974
  180. Thu May 12 11:56:15 2016  8 relations: 190003
  181. Thu May 12 11:56:15 2016  9 relations: 176579
  182. Thu May 12 11:56:15 2016  10+ relations: 1099908
  183. Thu May 12 11:56:15 2016  heaviest cycle: 28 relations
  184. Thu May 12 11:56:18 2016  RelProcTime: 4744
  185. Thu May 12 11:56:18 2016  
  186. Thu May 12 11:56:18 2016  commencing linear algebra
  187. Thu May 12 11:56:18 2016  read 2706576 cycles
  188. Thu May 12 11:56:24 2016  cycles contain 7859819 unique relations
  189. Thu May 12 11:58:56 2016  read 7859819 relations
  190. Thu May 12 11:59:08 2016  using 20 quadratic characters above 1073727342
  191. Thu May 12 11:59:41 2016  building initial matrix
  192. Thu May 12 12:01:23 2016  memory use: 1043.5 MB
  193. Thu May 12 12:01:25 2016  read 2706576 cycles
  194. Thu May 12 12:01:26 2016  matrix is 2706399 x 2706576 (1233.4 MB) with weight 355774250 (131.45/col)
  195. Thu May 12 12:01:26 2016  sparse part has weight 293549177 (108.46/col)
  196. Thu May 12 12:01:56 2016  filtering completed in 2 passes
  197. Thu May 12 12:01:57 2016  matrix is 2706345 x 2706522 (1233.4 MB) with weight 355772231 (131.45/col)
  198. Thu May 12 12:01:57 2016  sparse part has weight 293548412 (108.46/col)
  199. Thu May 12 12:02:03 2016  matrix starts at (0, 0)
  200. Thu May 12 12:02:04 2016  matrix is 2706345 x 2706522 (1233.4 MB) with weight 355772231 (131.45/col)
  201. Thu May 12 12:02:04 2016  sparse part has weight 293548412 (108.46/col)
  202. Thu May 12 12:02:04 2016  saving the first 48 matrix rows for later
  203. Thu May 12 12:02:05 2016  matrix includes 64 packed rows
  204. Thu May 12 12:02:05 2016  matrix is 2706297 x 2706522 (1178.7 MB) with weight 303774122 (112.24/col)
  205. Thu May 12 12:02:05 2016  sparse part has weight 281919538 (104.16/col)
  206. Thu May 12 12:02:05 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  207. Thu May 12 12:02:19 2016  commencing Lanczos iteration (4 threads)
  208. Thu May 12 12:02:19 2016  memory use: 984.5 MB
  209. Thu May 12 12:02:28 2016  linear algebra at 0.1%, ETA 4h26m
  210. Thu May 12 12:02:31 2016  checkpointing every 610000 dimensions
  211. Thu May 12 16:26:10 2016  lanczos halted after 42796 iterations (dim = 2706296)
  212. Thu May 12 16:26:13 2016  recovered 38 nontrivial dependencies
  213. Thu May 12 16:26:14 2016  BLanczosTime: 16196
  214. Thu May 12 16:26:14 2016  
  215. Thu May 12 16:26:14 2016  commencing square root phase
  216. Thu May 12 16:26:14 2016  handling dependencies 1 to 64
  217. Thu May 12 16:26:14 2016  reading relations for dependency 1
  218. Thu May 12 16:26:15 2016  read 1351706 cycles
  219. Thu May 12 16:26:17 2016  cycles contain 3927924 unique relations
  220. Thu May 12 16:28:41 2016  read 3927924 relations
  221. Thu May 12 16:29:02 2016  multiplying 3927924 relations
  222. Thu May 12 16:30:27 2016  multiply complete, coefficients have about 96.96 million bits
  223. Thu May 12 16:30:28 2016  initial square root is modulo 9109813
  224. Thu May 12 16:32:29 2016  GCD is N, no factor found
  225. Thu May 12 16:32:29 2016  reading relations for dependency 2
  226. Thu May 12 16:32:31 2016  read 1354219 cycles
  227. Thu May 12 16:32:33 2016  cycles contain 3930950 unique relations
  228. Thu May 12 16:33:59 2016  read 3930950 relations
  229. Thu May 12 16:34:19 2016  multiplying 3930950 relations
  230. Thu May 12 16:35:40 2016  multiply complete, coefficients have about 97.03 million bits
  231. Thu May 12 16:35:41 2016  initial square root is modulo 9220583
  232. Thu May 12 16:37:42 2016  sqrtTime: 688
  233. Thu May 12 16:37:42 2016  prp71 factor: 33157577139602599542701369768424795153381988305964413072503097542521591
  234. Thu May 12 16:37:42 2016  prp100 factor: 9075205387274705823345718168426088651539966868615770860362715926421527236410700260785246638887238721
  235. Thu May 12 16:37:42 2016  elapsed time 06:00:29
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