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P54_48911_5_m1_c

a guest Dec 9th, 2016 81 Never
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  1. Fri Dec  9 06:05:58 2016  
  2. Fri Dec  9 06:05:58 2016  
  3. Fri Dec  9 06:05:58 2016  Msieve v. 1.53 (SVN 988M)
  4. Fri Dec  9 06:05:58 2016  random seeds: 7824bf84 e2b973fd
  5. Fri Dec  9 06:05:58 2016  factoring 28702624099058770810228424054172893319675205634598335874846121396984668272555536611910895223149040316873121815036761491191136014886814517188850270565462582491 (158 digits)
  6. Fri Dec  9 06:05:58 2016  searching for 15-digit factors
  7. Fri Dec  9 06:05:59 2016  commencing number field sieve (158-digit input)
  8. Fri Dec  9 06:05:59 2016  R0: -2539611107134757623279929063297
  9. Fri Dec  9 06:05:59 2016  R1: 23386622717850540337601
  10. Fri Dec  9 06:05:59 2016  A0: 1479905169284583531765644619478283470
  11. Fri Dec  9 06:05:59 2016  A1: -8695478668670714256387780369731
  12. Fri Dec  9 06:05:59 2016  A2: -54258762792358393649890707
  13. Fri Dec  9 06:05:59 2016  A3: 59400532191907788458
  14. Fri Dec  9 06:05:59 2016  A4: 27944001494360
  15. Fri Dec  9 06:05:59 2016  A5: 3541440
  16. Fri Dec  9 06:05:59 2016  skew 1201798.95, size 2.083e-15, alpha -7.462, combined = 1.750e-12 rroots = 3
  17. Fri Dec  9 06:05:59 2016  
  18. Fri Dec  9 06:05:59 2016  commencing relation filtering
  19. Fri Dec  9 06:05:59 2016  setting target matrix density to 130.0
  20. Fri Dec  9 06:05:59 2016  estimated available RAM is 16384.0 MB
  21. Fri Dec  9 06:05:59 2016  commencing duplicate removal, pass 1
  22. Fri Dec  9 06:07:18 2016  error -15 reading relation 11219339
  23. Fri Dec  9 06:14:33 2016  error -1 reading relation 72867285
  24. Fri Dec  9 06:18:57 2016  error -9 reading relation 110086042
  25. Fri Dec  9 06:18:58 2016  error -5 reading relation 110233415
  26. Fri Dec  9 06:19:04 2016  error -9 reading relation 111078853
  27. Fri Dec  9 06:19:27 2016  error -15 reading relation 114350153
  28. Fri Dec  9 06:19:35 2016  error -1 reading relation 115457418
  29. Fri Dec  9 06:19:41 2016  error -15 reading relation 116218676
  30. Fri Dec  9 06:20:01 2016  error -9 reading relation 119182481
  31. Fri Dec  9 06:20:41 2016  error -9 reading relation 124894770
  32. Fri Dec  9 06:21:00 2016  error -1 reading relation 127648833
  33. Fri Dec  9 06:21:23 2016  error -5 reading relation 130805134
  34. Fri Dec  9 06:21:23 2016  error -15 reading relation 130834282
  35. Fri Dec  9 06:21:49 2016  error -15 reading relation 134502176
  36. Fri Dec  9 06:22:07 2016  error -9 reading relation 137121624
  37. Fri Dec  9 06:22:07 2016  error -9 reading relation 137133518
  38. Fri Dec  9 06:22:14 2016  error -9 reading relation 138125240
  39. Fri Dec  9 06:22:26 2016  skipped 9 relations with composite factors
  40. Fri Dec  9 06:22:26 2016  found 25048959 hash collisions in 139830778 relations
  41. Fri Dec  9 06:22:51 2016  added 121776 free relations
  42. Fri Dec  9 06:22:51 2016  commencing duplicate removal, pass 2
  43. Fri Dec  9 06:24:43 2016  found 22801957 duplicates and 117150597 unique relations
  44. Fri Dec  9 06:24:43 2016  memory use: 660.8 MB
  45. Fri Dec  9 06:24:43 2016  reading ideals above 80019456
  46. Fri Dec  9 06:24:43 2016  commencing singleton removal, initial pass
  47. Fri Dec  9 06:35:11 2016  memory use: 2756.0 MB
  48. Fri Dec  9 06:35:11 2016  reading all ideals from disk
  49. Fri Dec  9 06:35:16 2016  memory use: 1933.8 MB
  50. Fri Dec  9 06:35:20 2016  commencing in-memory singleton removal
  51. Fri Dec  9 06:35:23 2016  begin with 117150597 relations and 84695596 unique ideals
  52. Fri Dec  9 06:36:01 2016  reduce to 87434922 relations and 52694186 ideals in 12 passes
  53. Fri Dec  9 06:36:01 2016  max relations containing the same ideal: 26
  54. Fri Dec  9 06:36:07 2016  reading ideals above 720000
  55. Fri Dec  9 06:36:07 2016  commencing singleton removal, initial pass
  56. Fri Dec  9 06:45:57 2016  memory use: 1506.0 MB
  57. Fri Dec  9 06:45:57 2016  reading all ideals from disk
  58. Fri Dec  9 06:46:05 2016  memory use: 3235.0 MB
  59. Fri Dec  9 06:46:11 2016  keeping 61574481 ideals with weight <= 200, target excess is 458898
  60. Fri Dec  9 06:46:17 2016  commencing in-memory singleton removal
  61. Fri Dec  9 06:46:23 2016  begin with 87434922 relations and 61574481 unique ideals
  62. Fri Dec  9 06:46:53 2016  reduce to 87432308 relations and 61571867 ideals in 6 passes
  63. Fri Dec  9 06:46:53 2016  max relations containing the same ideal: 200
  64. Fri Dec  9 06:47:18 2016  removing 7551165 relations and 5551165 ideals in 2000000 cliques
  65. Fri Dec  9 06:47:20 2016  commencing in-memory singleton removal
  66. Fri Dec  9 06:47:25 2016  begin with 79881143 relations and 61571867 unique ideals
  67. Fri Dec  9 06:47:57 2016  reduce to 79357468 relations and 55482387 ideals in 7 passes
  68. Fri Dec  9 06:47:57 2016  max relations containing the same ideal: 198
  69. Fri Dec  9 06:48:20 2016  removing 6043040 relations and 4043040 ideals in 2000000 cliques
  70. Fri Dec  9 06:48:22 2016  commencing in-memory singleton removal
  71. Fri Dec  9 06:48:26 2016  begin with 73314428 relations and 55482387 unique ideals
  72. Fri Dec  9 06:48:51 2016  reduce to 72963384 relations and 51079553 ideals in 6 passes
  73. Fri Dec  9 06:48:51 2016  max relations containing the same ideal: 188
  74. Fri Dec  9 06:49:12 2016  removing 5647139 relations and 3647139 ideals in 2000000 cliques
  75. Fri Dec  9 06:49:14 2016  commencing in-memory singleton removal
  76. Fri Dec  9 06:49:18 2016  begin with 67316245 relations and 51079553 unique ideals
  77. Fri Dec  9 06:49:44 2016  reduce to 67012933 relations and 47121381 ideals in 7 passes
  78. Fri Dec  9 06:49:44 2016  max relations containing the same ideal: 179
  79. Fri Dec  9 06:50:03 2016  removing 5440441 relations and 3440441 ideals in 2000000 cliques
  80. Fri Dec  9 06:50:05 2016  commencing in-memory singleton removal
  81. Fri Dec  9 06:50:09 2016  begin with 61572492 relations and 47121381 unique ideals
  82. Fri Dec  9 06:50:28 2016  reduce to 61290622 relations and 43391393 ideals in 6 passes
  83. Fri Dec  9 06:50:28 2016  max relations containing the same ideal: 168
  84. Fri Dec  9 06:50:46 2016  removing 5302197 relations and 3302197 ideals in 2000000 cliques
  85. Fri Dec  9 06:50:47 2016  commencing in-memory singleton removal
  86. Fri Dec  9 06:50:50 2016  begin with 55988425 relations and 43391393 unique ideals
  87. Fri Dec  9 06:51:08 2016  reduce to 55713392 relations and 39806352 ideals in 6 passes
  88. Fri Dec  9 06:51:08 2016  max relations containing the same ideal: 159
  89. Fri Dec  9 06:51:24 2016  removing 5208391 relations and 3208391 ideals in 2000000 cliques
  90. Fri Dec  9 06:51:25 2016  commencing in-memory singleton removal
  91. Fri Dec  9 06:51:28 2016  begin with 50505001 relations and 39806352 unique ideals
  92. Fri Dec  9 06:51:43 2016  reduce to 50228464 relations and 36312971 ideals in 6 passes
  93. Fri Dec  9 06:51:43 2016  max relations containing the same ideal: 148
  94. Fri Dec  9 06:51:58 2016  removing 5142531 relations and 3142531 ideals in 2000000 cliques
  95. Fri Dec  9 06:51:59 2016  commencing in-memory singleton removal
  96. Fri Dec  9 06:52:02 2016  begin with 45085933 relations and 36312971 unique ideals
  97. Fri Dec  9 06:52:15 2016  reduce to 44799372 relations and 32874273 ideals in 6 passes
  98. Fri Dec  9 06:52:15 2016  max relations containing the same ideal: 137
  99. Fri Dec  9 06:52:27 2016  removing 5093562 relations and 3093562 ideals in 2000000 cliques
  100. Fri Dec  9 06:52:29 2016  commencing in-memory singleton removal
  101. Fri Dec  9 06:52:30 2016  begin with 39705810 relations and 32874273 unique ideals
  102. Fri Dec  9 06:52:42 2016  reduce to 39403442 relations and 29467371 ideals in 6 passes
  103. Fri Dec  9 06:52:42 2016  max relations containing the same ideal: 125
  104. Fri Dec  9 06:52:53 2016  removing 5057531 relations and 3057531 ideals in 2000000 cliques
  105. Fri Dec  9 06:52:54 2016  commencing in-memory singleton removal
  106. Fri Dec  9 06:52:56 2016  begin with 34345911 relations and 29467371 unique ideals
  107. Fri Dec  9 06:53:05 2016  reduce to 34015764 relations and 26066152 ideals in 6 passes
  108. Fri Dec  9 06:53:05 2016  max relations containing the same ideal: 114
  109. Fri Dec  9 06:53:14 2016  removing 5035415 relations and 3035415 ideals in 2000000 cliques
  110. Fri Dec  9 06:53:16 2016  commencing in-memory singleton removal
  111. Fri Dec  9 06:53:17 2016  begin with 28980349 relations and 26066152 unique ideals
  112. Fri Dec  9 06:53:25 2016  reduce to 28611134 relations and 22644512 ideals in 7 passes
  113. Fri Dec  9 06:53:25 2016  max relations containing the same ideal: 101
  114. Fri Dec  9 06:53:33 2016  removing 5021655 relations and 3021655 ideals in 2000000 cliques
  115. Fri Dec  9 06:53:34 2016  commencing in-memory singleton removal
  116. Fri Dec  9 06:53:35 2016  begin with 23589479 relations and 22644512 unique ideals
  117. Fri Dec  9 06:53:42 2016  reduce to 23160187 relations and 19170164 ideals in 7 passes
  118. Fri Dec  9 06:53:42 2016  max relations containing the same ideal: 89
  119. Fri Dec  9 06:53:48 2016  removing 5011419 relations and 3011419 ideals in 2000000 cliques
  120. Fri Dec  9 06:53:49 2016  commencing in-memory singleton removal
  121. Fri Dec  9 06:53:50 2016  begin with 18148768 relations and 19170164 unique ideals
  122. Fri Dec  9 06:53:55 2016  reduce to 17625935 relations and 15600718 ideals in 7 passes
  123. Fri Dec  9 06:53:55 2016  max relations containing the same ideal: 78
  124. Fri Dec  9 06:53:59 2016  removing 3875413 relations and 2382518 ideals in 1492895 cliques
  125. Fri Dec  9 06:54:00 2016  commencing in-memory singleton removal
  126. Fri Dec  9 06:54:01 2016  begin with 13750522 relations and 15600718 unique ideals
  127. Fri Dec  9 06:54:04 2016  reduce to 13257290 relations and 12690077 ideals in 7 passes
  128. Fri Dec  9 06:54:04 2016  max relations containing the same ideal: 69
  129. Fri Dec  9 06:54:08 2016  removing 178687 relations and 143796 ideals in 34891 cliques
  130. Fri Dec  9 06:54:08 2016  commencing in-memory singleton removal
  131. Fri Dec  9 06:54:09 2016  begin with 13078603 relations and 12690077 unique ideals
  132. Fri Dec  9 06:54:11 2016  reduce to 13076320 relations and 12543988 ideals in 5 passes
  133. Fri Dec  9 06:54:11 2016  max relations containing the same ideal: 67
  134. Fri Dec  9 06:54:13 2016  relations with 0 large ideals: 1613
  135. Fri Dec  9 06:54:13 2016  relations with 1 large ideals: 9888
  136. Fri Dec  9 06:54:13 2016  relations with 2 large ideals: 128393
  137. Fri Dec  9 06:54:13 2016  relations with 3 large ideals: 707267
  138. Fri Dec  9 06:54:13 2016  relations with 4 large ideals: 2016617
  139. Fri Dec  9 06:54:13 2016  relations with 5 large ideals: 3349067
  140. Fri Dec  9 06:54:13 2016  relations with 6 large ideals: 3461782
  141. Fri Dec  9 06:54:13 2016  relations with 7+ large ideals: 3401693
  142. Fri Dec  9 06:54:13 2016  commencing 2-way merge
  143. Fri Dec  9 06:54:17 2016  reduce to 9203014 relation sets and 8670682 unique ideals
  144. Fri Dec  9 06:54:17 2016  commencing full merge
  145. Fri Dec  9 06:57:04 2016  memory use: 1096.1 MB
  146. Fri Dec  9 06:57:05 2016  found 4016478 cycles, need 3994882
  147. Fri Dec  9 06:57:06 2016  weight of 3994882 cycles is about 520133231 (130.20/cycle)
  148. Fri Dec  9 06:57:06 2016  distribution of cycle lengths:
  149. Fri Dec  9 06:57:06 2016  1 relations: 61282
  150. Fri Dec  9 06:57:06 2016  2 relations: 176490
  151. Fri Dec  9 06:57:06 2016  3 relations: 245974
  152. Fri Dec  9 06:57:06 2016  4 relations: 279627
  153. Fri Dec  9 06:57:06 2016  5 relations: 308387
  154. Fri Dec  9 06:57:06 2016  6 relations: 314051
  155. Fri Dec  9 06:57:06 2016  7 relations: 315136
  156. Fri Dec  9 06:57:06 2016  8 relations: 300182
  157. Fri Dec  9 06:57:06 2016  9 relations: 280890
  158. Fri Dec  9 06:57:06 2016  10+ relations: 1712863
  159. Fri Dec  9 06:57:06 2016  heaviest cycle: 28 relations
  160. Fri Dec  9 06:57:07 2016  commencing cycle optimization
  161. Fri Dec  9 06:57:14 2016  start with 37775069 relations
  162. Fri Dec  9 06:58:39 2016  pruned 2276124 relations
  163. Fri Dec  9 06:58:39 2016  memory use: 930.9 MB
  164. Fri Dec  9 06:58:39 2016  distribution of cycle lengths:
  165. Fri Dec  9 06:58:39 2016  1 relations: 61282
  166. Fri Dec  9 06:58:39 2016  2 relations: 182484
  167. Fri Dec  9 06:58:39 2016  3 relations: 259028
  168. Fri Dec  9 06:58:39 2016  4 relations: 295793
  169. Fri Dec  9 06:58:39 2016  5 relations: 330112
  170. Fri Dec  9 06:58:39 2016  6 relations: 336857
  171. Fri Dec  9 06:58:39 2016  7 relations: 339612
  172. Fri Dec  9 06:58:39 2016  8 relations: 320684
  173. Fri Dec  9 06:58:39 2016  9 relations: 298218
  174. Fri Dec  9 06:58:39 2016  10+ relations: 1570812
  175. Fri Dec  9 06:58:39 2016  heaviest cycle: 28 relations
  176. Fri Dec  9 06:58:45 2016  RelProcTime: 3166
  177. Fri Dec  9 06:58:45 2016  
  178. Fri Dec  9 06:58:45 2016  commencing linear algebra
  179. Fri Dec  9 06:58:45 2016  read 3994882 cycles
  180. Fri Dec  9 06:58:52 2016  cycles contain 12841261 unique relations
  181. Fri Dec  9 07:01:01 2016  read 12841261 relations
  182. Fri Dec  9 07:01:17 2016  using 20 quadratic characters above 4294917295
  183. Fri Dec  9 07:02:04 2016  building initial matrix
  184. Fri Dec  9 07:04:42 2016  memory use: 1822.4 MB
  185. Fri Dec  9 07:04:45 2016  read 3994882 cycles
  186. Fri Dec  9 07:04:45 2016  matrix is 3994705 x 3994882 (1986.3 MB) with weight 615284832 (154.02/col)
  187. Fri Dec  9 07:04:45 2016  sparse part has weight 472767254 (118.34/col)
  188. Fri Dec  9 07:05:22 2016  filtering completed in 2 passes
  189. Fri Dec  9 07:05:23 2016  matrix is 3994632 x 3994809 (1986.3 MB) with weight 615280081 (154.02/col)
  190. Fri Dec  9 07:05:23 2016  sparse part has weight 472765340 (118.34/col)
  191. Fri Dec  9 07:05:35 2016  matrix starts at (0, 0)
  192. Fri Dec  9 07:05:36 2016  matrix is 3994632 x 3994809 (1986.3 MB) with weight 615280081 (154.02/col)
  193. Fri Dec  9 07:05:36 2016  sparse part has weight 472765340 (118.34/col)
  194. Fri Dec  9 07:05:36 2016  saving the first 48 matrix rows for later
  195. Fri Dec  9 07:05:36 2016  matrix includes 64 packed rows
  196. Fri Dec  9 07:05:36 2016  matrix is 3994584 x 3994809 (1947.2 MB) with weight 527863751 (132.14/col)
  197. Fri Dec  9 07:05:36 2016  sparse part has weight 470491438 (117.78/col)
  198. Fri Dec  9 07:05:36 2016  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
  199. Fri Dec  9 07:06:00 2016  commencing Lanczos iteration (4 threads)
  200. Fri Dec  9 07:06:00 2016  memory use: 1605.1 MB
  201. Fri Dec  9 07:06:13 2016  linear algebra at 0.0%, ETA 8h46m
  202. Fri Dec  9 07:06:17 2016  checkpointing every 460000 dimensions
  203. Fri Dec  9 16:04:33 2016  lanczos halted after 63170 iterations (dim = 3994580)
  204. Fri Dec  9 16:04:38 2016  recovered 27 nontrivial dependencies
  205. Fri Dec  9 16:04:38 2016  BLanczosTime: 32753
  206. Fri Dec  9 16:04:38 2016  
  207. Fri Dec  9 16:04:38 2016  commencing square root phase
  208. Fri Dec  9 16:04:38 2016  handling dependencies 1 to 64
  209. Fri Dec  9 16:04:38 2016  reading relations for dependency 1
  210. Fri Dec  9 16:04:39 2016  read 1997860 cycles
  211. Fri Dec  9 16:04:42 2016  cycles contain 6419430 unique relations
  212. Fri Dec  9 16:06:24 2016  read 6419430 relations
  213. Fri Dec  9 16:06:47 2016  multiplying 6419430 relations
  214. Fri Dec  9 16:12:07 2016  multiply complete, coefficients have about 369.67 million bits
  215. Fri Dec  9 16:12:09 2016  initial square root is modulo 4296449
  216. Fri Dec  9 16:18:26 2016  sqrtTime: 828
  217. Fri Dec  9 16:18:26 2016  p75 factor: 188780142120299115688247967372935097975992008653458124764246749129358719561
  218. Fri Dec  9 16:18:26 2016  p84 factor: 152042602451099862974047702913121901581952849543543844738748840869399827912043120131
  219. Fri Dec  9 16:18:26 2016  elapsed time 10:12:28
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