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C214_121_71

CarlosPinho May 31st, 2016 30 Never
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  1. Fri May 13 03:59:51 2016  
  2. Fri May 13 03:59:51 2016  
  3. Fri May 13 03:59:51 2016  Msieve v. 1.52 (SVN unknown)
  4. Fri May 13 03:59:51 2016  random seeds: e8accd54 1cca838f
  5. Fri May 13 03:59:51 2016  factoring 3350336870735885041358904513994064451452385473926897193621294613051785010526714078420044743464783195506636924221224432656264012002589835851336645466836892489972113102407350556613666260292676869995925163701815246177 (214 digits)
  6. Fri May 13 03:59:52 2016  no P-1/P+1/ECM available, skipping
  7. Fri May 13 03:59:52 2016  commencing number field sieve (214-digit input)
  8. Fri May 13 03:59:52 2016  R0: 269277687648484922418719360310447236922646081
  9. Fri May 13 03:59:52 2016  R1: -144209936106499234037676064081
  10. Fri May 13 03:59:52 2016  A0: 121
  11. Fri May 13 03:59:52 2016  A1: 0
  12. Fri May 13 03:59:52 2016  A2: 0
  13. Fri May 13 03:59:52 2016  A3: 0
  14. Fri May 13 03:59:52 2016  A4: 0
  15. Fri May 13 03:59:52 2016  A5: 71
  16. Fri May 13 03:59:52 2016  skew 1.11, size 1.262e-015, alpha 0.505, combined = 1.251e-012 rroots = 1
  17. Fri May 13 03:59:52 2016  
  18. Fri May 13 03:59:52 2016  commencing relation filtering
  19. Fri May 13 03:59:52 2016  setting target matrix density to 115.0
  20. Fri May 13 03:59:52 2016  estimated available RAM is 16335.3 MB
  21. Fri May 13 03:59:52 2016  commencing duplicate removal, pass 1
  22. Fri May 13 04:10:34 2016  error -15 reading relation 66080208
  23. Fri May 13 04:16:33 2016  error -9 reading relation 104744652
  24. Fri May 13 04:16:34 2016  error -15 reading relation 104818480
  25. Fri May 13 04:17:22 2016  error -9 reading relation 110291728
  26. Fri May 13 04:17:24 2016  error -15 reading relation 110505296
  27. Fri May 13 04:17:26 2016  error -1 reading relation 110784841
  28. Fri May 13 04:18:30 2016  error -5 reading relation 117911480
  29. Fri May 13 04:18:32 2016  error -15 reading relation 118187125
  30. Fri May 13 04:18:38 2016  error -15 reading relation 118826081
  31. Fri May 13 04:18:39 2016  error -9 reading relation 118889299
  32. Fri May 13 04:19:04 2016  error -1 reading relation 121797212
  33. Fri May 13 04:19:08 2016  error -11 reading relation 122347610
  34. Fri May 13 04:19:19 2016  error -15 reading relation 123586835
  35. Fri May 13 04:19:31 2016  skipped 29 relations with b > 2^32
  36. Fri May 13 04:19:31 2016  found 21129200 hash collisions in 124865938 relations
  37. Fri May 13 04:20:22 2016  added 732577 free relations
  38. Fri May 13 04:20:22 2016  commencing duplicate removal, pass 2
  39. Fri May 13 04:21:14 2016  found 18958625 duplicates and 106639890 unique relations
  40. Fri May 13 04:21:14 2016  memory use: 660.8 MB
  41. Fri May 13 04:21:14 2016  reading ideals above 79888384
  42. Fri May 13 04:21:14 2016  commencing singleton removal, initial pass
  43. Fri May 13 04:39:21 2016  memory use: 2756.0 MB
  44. Fri May 13 04:39:21 2016  reading all ideals from disk
  45. Fri May 13 04:39:22 2016  memory use: 1789.3 MB
  46. Fri May 13 04:39:25 2016  commencing in-memory singleton removal
  47. Fri May 13 04:39:28 2016  begin with 106639890 relations and 83347754 unique ideals
  48. Fri May 13 04:40:06 2016  reduce to 74177987 relations and 47960272 ideals in 13 passes
  49. Fri May 13 04:40:06 2016  max relations containing the same ideal: 52
  50. Fri May 13 04:40:11 2016  reading ideals above 720000
  51. Fri May 13 04:40:11 2016  commencing singleton removal, initial pass
  52. Fri May 13 04:54:59 2016  memory use: 1506.0 MB
  53. Fri May 13 04:54:59 2016  reading all ideals from disk
  54. Fri May 13 04:55:34 2016  memory use: 2779.7 MB
  55. Fri May 13 04:55:41 2016  keeping 56901838 ideals with weight <= 200, target excess is 388149
  56. Fri May 13 04:55:48 2016  commencing in-memory singleton removal
  57. Fri May 13 04:55:54 2016  begin with 74177990 relations and 56901838 unique ideals
  58. Fri May 13 04:56:29 2016  reduce to 74174475 relations and 56898321 ideals in 6 passes
  59. Fri May 13 04:56:29 2016  max relations containing the same ideal: 200
  60. Fri May 13 04:56:59 2016  removing 8308968 relations and 6308968 ideals in 2000000 cliques
  61. Fri May 13 04:57:01 2016  commencing in-memory singleton removal
  62. Fri May 13 04:57:06 2016  begin with 65865507 relations and 56898321 unique ideals
  63. Fri May 13 04:57:58 2016  reduce to 65136566 relations and 49836137 ideals in 10 passes
  64. Fri May 13 04:57:58 2016  max relations containing the same ideal: 192
  65. Fri May 13 04:58:25 2016  removing 6600519 relations and 4600519 ideals in 2000000 cliques
  66. Fri May 13 04:58:27 2016  commencing in-memory singleton removal
  67. Fri May 13 04:58:31 2016  begin with 58536047 relations and 49836137 unique ideals
  68. Fri May 13 04:59:04 2016  reduce to 58023119 relations and 44707256 ideals in 7 passes
  69. Fri May 13 04:59:04 2016  max relations containing the same ideal: 180
  70. Fri May 13 04:59:27 2016  removing 6142920 relations and 4142920 ideals in 2000000 cliques
  71. Fri May 13 04:59:29 2016  commencing in-memory singleton removal
  72. Fri May 13 04:59:33 2016  begin with 51880199 relations and 44707256 unique ideals
  73. Fri May 13 05:00:01 2016  reduce to 51417576 relations and 40086919 ideals in 7 passes
  74. Fri May 13 05:00:01 2016  max relations containing the same ideal: 169
  75. Fri May 13 05:00:23 2016  removing 5914555 relations and 3914555 ideals in 2000000 cliques
  76. Fri May 13 05:00:24 2016  commencing in-memory singleton removal
  77. Fri May 13 05:00:27 2016  begin with 45503021 relations and 40086919 unique ideals
  78. Fri May 13 05:00:52 2016  reduce to 45044033 relations and 35697524 ideals in 7 passes
  79. Fri May 13 05:00:52 2016  max relations containing the same ideal: 152
  80. Fri May 13 05:01:11 2016  removing 5780507 relations and 3780508 ideals in 2000000 cliques
  81. Fri May 13 05:01:12 2016  commencing in-memory singleton removal
  82. Fri May 13 05:01:15 2016  begin with 39263526 relations and 35697524 unique ideals
  83. Fri May 13 05:01:36 2016  reduce to 38789546 relations and 31424631 ideals in 7 passes
  84. Fri May 13 05:01:36 2016  max relations containing the same ideal: 138
  85. Fri May 13 05:01:52 2016  removing 5698614 relations and 3698614 ideals in 2000000 cliques
  86. Fri May 13 05:01:54 2016  commencing in-memory singleton removal
  87. Fri May 13 05:01:56 2016  begin with 33090932 relations and 31424631 unique ideals
  88. Fri May 13 05:02:13 2016  reduce to 32577814 relations and 27190318 ideals in 7 passes
  89. Fri May 13 05:02:13 2016  max relations containing the same ideal: 122
  90. Fri May 13 05:02:27 2016  removing 5647298 relations and 3647298 ideals in 2000000 cliques
  91. Fri May 13 05:02:29 2016  commencing in-memory singleton removal
  92. Fri May 13 05:02:30 2016  begin with 26930516 relations and 27190318 unique ideals
  93. Fri May 13 05:02:44 2016  reduce to 26348528 relations and 22930869 ideals in 7 passes
  94. Fri May 13 05:02:44 2016  max relations containing the same ideal: 107
  95. Fri May 13 05:02:55 2016  removing 5609890 relations and 3609890 ideals in 2000000 cliques
  96. Fri May 13 05:02:57 2016  commencing in-memory singleton removal
  97. Fri May 13 05:02:58 2016  begin with 20738638 relations and 22930869 unique ideals
  98. Fri May 13 05:03:08 2016  reduce to 20043245 relations and 18580926 ideals in 7 passes
  99. Fri May 13 05:03:08 2016  max relations containing the same ideal: 86
  100. Fri May 13 05:03:17 2016  removing 3197502 relations and 2185436 ideals in 1012066 cliques
  101. Fri May 13 05:03:18 2016  commencing in-memory singleton removal
  102. Fri May 13 05:03:19 2016  begin with 16845743 relations and 18580926 unique ideals
  103. Fri May 13 05:03:27 2016  reduce to 16499961 relations and 16034154 ideals in 7 passes
  104. Fri May 13 05:03:27 2016  max relations containing the same ideal: 78
  105. Fri May 13 05:03:34 2016  removing 95694 relations and 80140 ideals in 15554 cliques
  106. Fri May 13 05:03:34 2016  commencing in-memory singleton removal
  107. Fri May 13 05:03:35 2016  begin with 16404267 relations and 16034154 unique ideals
  108. Fri May 13 05:03:40 2016  reduce to 16403916 relations and 15953663 ideals in 4 passes
  109. Fri May 13 05:03:40 2016  max relations containing the same ideal: 78
  110. Fri May 13 05:03:43 2016  relations with 0 large ideals: 7981
  111. Fri May 13 05:03:43 2016  relations with 1 large ideals: 4142
  112. Fri May 13 05:03:43 2016  relations with 2 large ideals: 63917
  113. Fri May 13 05:03:43 2016  relations with 3 large ideals: 438958
  114. Fri May 13 05:03:43 2016  relations with 4 large ideals: 1591349
  115. Fri May 13 05:03:43 2016  relations with 5 large ideals: 3383327
  116. Fri May 13 05:03:43 2016  relations with 6 large ideals: 4610035
  117. Fri May 13 05:03:43 2016  relations with 7+ large ideals: 6304207
  118. Fri May 13 05:03:43 2016  commencing 2-way merge
  119. Fri May 13 05:03:52 2016  reduce to 11019514 relation sets and 10569261 unique ideals
  120. Fri May 13 05:03:52 2016  commencing full merge
  121. Fri May 13 05:07:46 2016  memory use: 1406.1 MB
  122. Fri May 13 05:07:47 2016  found 5085815 cycles, need 5049461
  123. Fri May 13 05:07:48 2016  weight of 5049461 cycles is about 581261082 (115.11/cycle)
  124. Fri May 13 05:07:48 2016  distribution of cycle lengths:
  125. Fri May 13 05:07:48 2016  1 relations: 147560
  126. Fri May 13 05:07:48 2016  2 relations: 284741
  127. Fri May 13 05:07:48 2016  3 relations: 362923
  128. Fri May 13 05:07:48 2016  4 relations: 389993
  129. Fri May 13 05:07:48 2016  5 relations: 410883
  130. Fri May 13 05:07:48 2016  6 relations: 411431
  131. Fri May 13 05:07:48 2016  7 relations: 405065
  132. Fri May 13 05:07:48 2016  8 relations: 383116
  133. Fri May 13 05:07:48 2016  9 relations: 354260
  134. Fri May 13 05:07:48 2016  10+ relations: 1899489
  135. Fri May 13 05:07:48 2016  heaviest cycle: 28 relations
  136. Fri May 13 05:07:48 2016  commencing cycle optimization
  137. Fri May 13 05:07:57 2016  start with 43425563 relations
  138. Fri May 13 05:09:39 2016  pruned 2154377 relations
  139. Fri May 13 05:09:40 2016  memory use: 1132.5 MB
  140. Fri May 13 05:09:40 2016  distribution of cycle lengths:
  141. Fri May 13 05:09:40 2016  1 relations: 147560
  142. Fri May 13 05:09:40 2016  2 relations: 292688
  143. Fri May 13 05:09:40 2016  3 relations: 379967
  144. Fri May 13 05:09:40 2016  4 relations: 408754
  145. Fri May 13 05:09:40 2016  5 relations: 434952
  146. Fri May 13 05:09:40 2016  6 relations: 434872
  147. Fri May 13 05:09:40 2016  7 relations: 429179
  148. Fri May 13 05:09:40 2016  8 relations: 403294
  149. Fri May 13 05:09:40 2016  9 relations: 371270
  150. Fri May 13 05:09:40 2016  10+ relations: 1746925
  151. Fri May 13 05:09:40 2016  heaviest cycle: 28 relations
  152. Fri May 13 05:09:45 2016  RelProcTime: 4193
  153. Fri May 13 05:09:45 2016  
  154. Fri May 13 05:09:45 2016  commencing linear algebra
  155. Fri May 13 05:09:46 2016  read 5049461 cycles
  156. Fri May 13 05:09:56 2016  cycles contain 16185829 unique relations
  157. Fri May 13 05:13:12 2016  read 16185829 relations
  158. Fri May 13 05:13:36 2016  using 20 quadratic characters above 1073741078
  159. Fri May 13 05:14:46 2016  building initial matrix
  160. Fri May 13 05:17:59 2016  memory use: 2024.5 MB
  161. Fri May 13 05:18:24 2016  read 5049461 cycles
  162. Fri May 13 05:18:26 2016  matrix is 5049284 x 5049461 (2272.4 MB) with weight 652965601 (129.31/col)
  163. Fri May 13 05:18:26 2016  sparse part has weight 540159959 (106.97/col)
  164. Fri May 13 05:19:24 2016  filtering completed in 2 passes
  165. Fri May 13 05:19:25 2016  matrix is 5049163 x 5049340 (2272.4 MB) with weight 652960849 (129.32/col)
  166. Fri May 13 05:19:25 2016  sparse part has weight 540158044 (106.98/col)
  167. Fri May 13 05:19:41 2016  matrix starts at (0, 0)
  168. Fri May 13 05:19:42 2016  matrix is 5049163 x 5049340 (2272.4 MB) with weight 652960849 (129.32/col)
  169. Fri May 13 05:19:42 2016  sparse part has weight 540158044 (106.98/col)
  170. Fri May 13 05:19:42 2016  saving the first 48 matrix rows for later
  171. Fri May 13 05:19:44 2016  matrix includes 64 packed rows
  172. Fri May 13 05:19:45 2016  matrix is 5049115 x 5049340 (2172.0 MB) with weight 557605437 (110.43/col)
  173. Fri May 13 05:19:45 2016  sparse part has weight 518883753 (102.76/col)
  174. Fri May 13 05:19:45 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  175. Fri May 13 05:20:11 2016  commencing Lanczos iteration (4 threads)
  176. Fri May 13 05:20:11 2016  memory use: 1823.2 MB
  177. Fri May 13 05:20:31 2016  linear algebra at 0.0%, ETA 17h32m
  178. Fri May 13 05:20:38 2016  checkpointing every 290000 dimensions
  179. Fri May 13 23:04:17 2016  lanczos halted after 79847 iterations (dim = 5049110)
  180. Fri May 13 23:04:25 2016  recovered 32 nontrivial dependencies
  181. Fri May 13 23:04:27 2016  BLanczosTime: 64482
  182. Fri May 13 23:04:27 2016  
  183. Fri May 13 23:04:27 2016  commencing square root phase
  184. Fri May 13 23:04:27 2016  handling dependencies 1 to 64
  185. Fri May 13 23:04:27 2016  reading relations for dependency 1
  186. Fri May 13 23:04:28 2016  read 2524763 cycles
  187. Fri May 13 23:04:32 2016  cycles contain 8092830 unique relations
  188. Fri May 13 23:06:42 2016  read 8092830 relations
  189. Fri May 13 23:07:30 2016  multiplying 8092830 relations
  190. Fri May 13 23:12:59 2016  multiply complete, coefficients have about 250.69 million bits
  191. Fri May 13 23:13:02 2016  initial square root is modulo 992135161
  192. Fri May 13 23:20:32 2016  GCD is N, no factor found
  193. Fri May 13 23:20:32 2016  reading relations for dependency 2
  194. Fri May 13 23:20:33 2016  read 2524673 cycles
  195. Fri May 13 23:20:38 2016  cycles contain 8092040 unique relations
  196. Fri May 13 23:22:35 2016  read 8092040 relations
  197. Fri May 13 23:23:23 2016  multiplying 8092040 relations
  198. Fri May 13 23:28:43 2016  multiply complete, coefficients have about 250.67 million bits
  199. Fri May 13 23:28:46 2016  initial square root is modulo 989963761
  200. Fri May 13 23:36:09 2016  Newton iteration failed to converge
  201. Fri May 13 23:36:09 2016  algebraic square root failed
  202. Fri May 13 23:36:09 2016  reading relations for dependency 3
  203. Fri May 13 23:36:10 2016  read 2525638 cycles
  204. Fri May 13 23:36:15 2016  cycles contain 8094376 unique relations
  205. Fri May 13 23:38:11 2016  read 8094376 relations
  206. Fri May 13 23:38:59 2016  multiplying 8094376 relations
  207. Fri May 13 23:44:28 2016  multiply complete, coefficients have about 250.74 million bits
  208. Fri May 13 23:44:32 2016  initial square root is modulo 996069791
  209. Fri May 13 23:51:55 2016  GCD is N, no factor found
  210. Fri May 13 23:51:55 2016  reading relations for dependency 4
  211. Fri May 13 23:51:56 2016  read 2524613 cycles
  212. Fri May 13 23:52:01 2016  cycles contain 8091578 unique relations
  213. Fri May 13 23:53:58 2016  read 8091578 relations
  214. Fri May 13 23:54:46 2016  multiplying 8091578 relations
  215. Sat May 14 00:00:10 2016  multiply complete, coefficients have about 250.66 million bits
  216. Sat May 14 00:00:13 2016  initial square root is modulo 989278351
  217. Sat May 14 00:07:30 2016  sqrtTime: 3783
  218. Sat May 14 00:07:30 2016  prp65 factor: 35557963504401428825919889499365026232002370632455544846226052377
  219. Sat May 14 00:07:30 2016  prp149 factor: 94221843450656961936638238917651804627650547149104385307576711364435001492562492038052745365714519089573000242493782769517907330196143610672414059401
  220. Sat May 14 00:07:30 2016  elapsed time 20:07:39
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