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5p4_425

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  1. Mon Nov  4 23:13:10 2019  
  2. Mon Nov  4 23:13:10 2019  Msieve v. 1.54 (SVN 1025)
  3. Mon Nov  4 23:13:10 2019  random seeds: 31064a63 0955eee7
  4. Mon Nov  4 23:13:10 2019  factoring 646434259519934337629376955825068335201416439904460972936245641710811874078979913356249559336044175917626455258619940208019633488765950127509261769399725565355426502001 (168 digits)
  5. Mon Nov  4 23:13:11 2019  searching for 15-digit factors
  6. Mon Nov  4 23:13:11 2019  commencing number field sieve (168-digit input)
  7. Mon Nov  4 23:13:11 2019  R0: -900451509212457340584752295799146
  8. Mon Nov  4 23:13:11 2019  R1: 92147673483982247
  9. Mon Nov  4 23:13:11 2019  A0: 66178765581065676516656139601238218697575405
  10. Mon Nov  4 23:13:11 2019  A1: 1950140705736314889055821760080336147
  11. Mon Nov  4 23:13:11 2019  A2: -43944148477219392072153957812
  12. Mon Nov  4 23:13:11 2019  A3: -983557426431562122849
  13. Mon Nov  4 23:13:11 2019  A4: 1843461605917
  14. Mon Nov  4 23:13:11 2019  A5: 1092
  15. Mon Nov  4 23:13:11 2019  skew 169638124.37, size 1.899e-16, alpha -8.252, combined = 4.064e-13 rroots = 5
  16. Mon Nov  4 23:13:11 2019  
  17. Mon Nov  4 23:13:11 2019  commencing relation filtering
  18. Mon Nov  4 23:13:11 2019  setting target matrix density to 136.0
  19. Mon Nov  4 23:13:11 2019  estimated available RAM is 16007.4 MB
  20. Mon Nov  4 23:13:11 2019  commencing duplicate removal, pass 1
  21. Mon Nov  4 23:26:37 2019  error -15 reading relation 105621593
  22. Mon Nov  4 23:33:16 2019  error -1 reading relation 158275256
  23. Mon Nov  4 23:35:34 2019  error -15 reading relation 176345553
  24. Mon Nov  4 23:37:02 2019  error -15 reading relation 187899509
  25. Mon Nov  4 23:39:16 2019  skipped 1 relations with composite factors
  26. Mon Nov  4 23:39:16 2019  found 9224136 hash collisions in 205380907 relations
  27. Mon Nov  4 23:39:43 2019  commencing duplicate removal, pass 2
  28. Mon Nov  4 23:40:40 2019  found 35 duplicates and 205380872 unique relations
  29. Mon Nov  4 23:40:40 2019  memory use: 522.4 MB
  30. Mon Nov  4 23:40:40 2019  reading ideals above 169934848
  31. Mon Nov  4 23:40:40 2019  commencing singleton removal, initial pass
  32. Tue Nov  5 00:00:07 2019  memory use: 3012.0 MB
  33. Tue Nov  5 00:00:07 2019  reading all ideals from disk
  34. Tue Nov  5 00:00:15 2019  memory use: 3366.4 MB
  35. Tue Nov  5 00:00:21 2019  commencing in-memory singleton removal
  36. Tue Nov  5 00:00:27 2019  begin with 205380872 relations and 158322224 unique ideals
  37. Tue Nov  5 00:01:38 2019  reduce to 142096591 relations and 89258015 ideals in 12 passes
  38. Tue Nov  5 00:01:38 2019  max relations containing the same ideal: 40
  39. Tue Nov  5 00:01:44 2019  reading ideals above 720000
  40. Tue Nov  5 00:01:45 2019  commencing singleton removal, initial pass
  41. Tue Nov  5 00:18:47 2019  memory use: 3012.0 MB
  42. Tue Nov  5 00:18:47 2019  reading all ideals from disk
  43. Tue Nov  5 00:19:02 2019  memory use: 5505.1 MB
  44. Tue Nov  5 00:19:16 2019  keeping 107524103 ideals with weight <= 200, target excess is 732325
  45. Tue Nov  5 00:19:32 2019  commencing in-memory singleton removal
  46. Tue Nov  5 00:19:43 2019  begin with 142096591 relations and 107524103 unique ideals
  47. Tue Nov  5 00:21:18 2019  reduce to 142070141 relations and 107497653 ideals in 8 passes
  48. Tue Nov  5 00:21:18 2019  max relations containing the same ideal: 200
  49. Tue Nov  5 00:22:12 2019  removing 9899425 relations and 7899425 ideals in 2000000 cliques
  50. Tue Nov  5 00:22:16 2019  commencing in-memory singleton removal
  51. Tue Nov  5 00:22:26 2019  begin with 132170716 relations and 107497653 unique ideals
  52. Tue Nov  5 00:23:42 2019  reduce to 131663589 relations and 99082119 ideals in 7 passes
  53. Tue Nov  5 00:23:42 2019  max relations containing the same ideal: 197
  54. Tue Nov  5 00:24:32 2019  removing 7564688 relations and 5564688 ideals in 2000000 cliques
  55. Tue Nov  5 00:24:35 2019  commencing in-memory singleton removal
  56. Tue Nov  5 00:24:43 2019  begin with 124098901 relations and 99082119 unique ideals
  57. Tue Nov  5 00:25:48 2019  reduce to 123757171 relations and 93170479 ideals in 7 passes
  58. Tue Nov  5 00:25:48 2019  max relations containing the same ideal: 193
  59. Tue Nov  5 00:26:31 2019  removing 6884596 relations and 4884596 ideals in 2000000 cliques
  60. Tue Nov  5 00:26:34 2019  commencing in-memory singleton removal
  61. Tue Nov  5 00:26:41 2019  begin with 116872575 relations and 93170479 unique ideals
  62. Tue Nov  5 00:27:42 2019  reduce to 116575616 relations and 87984400 ideals in 7 passes
  63. Tue Nov  5 00:27:42 2019  max relations containing the same ideal: 186
  64. Tue Nov  5 00:28:22 2019  removing 6534933 relations and 4534933 ideals in 2000000 cliques
  65. Tue Nov  5 00:28:25 2019  commencing in-memory singleton removal
  66. Tue Nov  5 00:28:32 2019  begin with 110040683 relations and 87984400 unique ideals
  67. Tue Nov  5 00:29:21 2019  reduce to 109765155 relations and 83169459 ideals in 6 passes
  68. Tue Nov  5 00:29:21 2019  max relations containing the same ideal: 179
  69. Tue Nov  5 00:29:59 2019  removing 6316019 relations and 4316019 ideals in 2000000 cliques
  70. Tue Nov  5 00:30:01 2019  commencing in-memory singleton removal
  71. Tue Nov  5 00:30:08 2019  begin with 103449136 relations and 83169459 unique ideals
  72. Tue Nov  5 00:30:54 2019  reduce to 103184969 relations and 78584887 ideals in 6 passes
  73. Tue Nov  5 00:30:54 2019  max relations containing the same ideal: 173
  74. Tue Nov  5 00:31:30 2019  removing 6159136 relations and 4159136 ideals in 2000000 cliques
  75. Tue Nov  5 00:31:33 2019  commencing in-memory singleton removal
  76. Tue Nov  5 00:31:39 2019  begin with 97025833 relations and 78584887 unique ideals
  77. Tue Nov  5 00:32:29 2019  reduce to 96767641 relations and 74162970 ideals in 7 passes
  78. Tue Nov  5 00:32:29 2019  max relations containing the same ideal: 165
  79. Tue Nov  5 00:33:04 2019  removing 6051084 relations and 4051084 ideals in 2000000 cliques
  80. Tue Nov  5 00:33:06 2019  commencing in-memory singleton removal
  81. Tue Nov  5 00:33:12 2019  begin with 90716557 relations and 74162970 unique ideals
  82. Tue Nov  5 00:33:52 2019  reduce to 90457299 relations and 69847801 ideals in 6 passes
  83. Tue Nov  5 00:33:52 2019  max relations containing the same ideal: 159
  84. Tue Nov  5 00:34:23 2019  removing 5963955 relations and 3963955 ideals in 2000000 cliques
  85. Tue Nov  5 00:34:25 2019  commencing in-memory singleton removal
  86. Tue Nov  5 00:34:30 2019  begin with 84493344 relations and 69847801 unique ideals
  87. Tue Nov  5 00:35:06 2019  reduce to 84230815 relations and 65616112 ideals in 6 passes
  88. Tue Nov  5 00:35:06 2019  max relations containing the same ideal: 152
  89. Tue Nov  5 00:35:36 2019  removing 5905627 relations and 3905627 ideals in 2000000 cliques
  90. Tue Nov  5 00:35:38 2019  commencing in-memory singleton removal
  91. Tue Nov  5 00:35:43 2019  begin with 78325188 relations and 65616112 unique ideals
  92. Tue Nov  5 00:36:16 2019  reduce to 78056172 relations and 61435875 ideals in 6 passes
  93. Tue Nov  5 00:36:16 2019  max relations containing the same ideal: 144
  94. Tue Nov  5 00:36:44 2019  removing 5859874 relations and 3859874 ideals in 2000000 cliques
  95. Tue Nov  5 00:36:47 2019  commencing in-memory singleton removal
  96. Tue Nov  5 00:36:51 2019  begin with 72196298 relations and 61435875 unique ideals
  97. Tue Nov  5 00:37:22 2019  reduce to 71916775 relations and 57290104 ideals in 6 passes
  98. Tue Nov  5 00:37:22 2019  max relations containing the same ideal: 141
  99. Tue Nov  5 00:37:47 2019  removing 5826873 relations and 3826873 ideals in 2000000 cliques
  100. Tue Nov  5 00:37:49 2019  commencing in-memory singleton removal
  101. Tue Nov  5 00:37:53 2019  begin with 66089902 relations and 57290104 unique ideals
  102. Tue Nov  5 00:38:21 2019  reduce to 65796142 relations and 53162301 ideals in 6 passes
  103. Tue Nov  5 00:38:21 2019  max relations containing the same ideal: 131
  104. Tue Nov  5 00:38:45 2019  removing 5803802 relations and 3803802 ideals in 2000000 cliques
  105. Tue Nov  5 00:38:47 2019  commencing in-memory singleton removal
  106. Tue Nov  5 00:38:51 2019  begin with 59992340 relations and 53162301 unique ideals
  107. Tue Nov  5 00:39:16 2019  reduce to 59680226 relations and 49038349 ideals in 6 passes
  108. Tue Nov  5 00:39:16 2019  max relations containing the same ideal: 124
  109. Tue Nov  5 00:39:37 2019  removing 5792651 relations and 3792651 ideals in 2000000 cliques
  110. Tue Nov  5 00:39:39 2019  commencing in-memory singleton removal
  111. Tue Nov  5 00:39:42 2019  begin with 53887575 relations and 49038349 unique ideals
  112. Tue Nov  5 00:40:04 2019  reduce to 53548246 relations and 44896739 ideals in 6 passes
  113. Tue Nov  5 00:40:04 2019  max relations containing the same ideal: 114
  114. Tue Nov  5 00:40:23 2019  removing 5792835 relations and 3792835 ideals in 2000000 cliques
  115. Tue Nov  5 00:40:25 2019  commencing in-memory singleton removal
  116. Tue Nov  5 00:40:28 2019  begin with 47755411 relations and 44896739 unique ideals
  117. Tue Nov  5 00:40:50 2019  reduce to 47381702 relations and 40718292 ideals in 7 passes
  118. Tue Nov  5 00:40:50 2019  max relations containing the same ideal: 103
  119. Tue Nov  5 00:41:07 2019  removing 5804478 relations and 3804478 ideals in 2000000 cliques
  120. Tue Nov  5 00:41:09 2019  commencing in-memory singleton removal
  121. Tue Nov  5 00:41:11 2019  begin with 41577224 relations and 40718292 unique ideals
  122. Tue Nov  5 00:41:31 2019  reduce to 41154114 relations and 36475707 ideals in 7 passes
  123. Tue Nov  5 00:41:31 2019  max relations containing the same ideal: 94
  124. Tue Nov  5 00:41:46 2019  removing 5836966 relations and 3836966 ideals in 2000000 cliques
  125. Tue Nov  5 00:41:47 2019  commencing in-memory singleton removal
  126. Tue Nov  5 00:41:49 2019  begin with 35317148 relations and 36475707 unique ideals
  127. Tue Nov  5 00:42:06 2019  reduce to 34813784 relations and 32114899 ideals in 7 passes
  128. Tue Nov  5 00:42:06 2019  max relations containing the same ideal: 85
  129. Tue Nov  5 00:42:19 2019  removing 5530766 relations and 3681378 ideals in 1849388 cliques
  130. Tue Nov  5 00:42:20 2019  commencing in-memory singleton removal
  131. Tue Nov  5 00:42:22 2019  begin with 29283018 relations and 32114899 unique ideals
  132. Tue Nov  5 00:42:36 2019  reduce to 28710957 relations and 27835692 ideals in 8 passes
  133. Tue Nov  5 00:42:36 2019  max relations containing the same ideal: 75
  134. Tue Nov  5 00:42:46 2019  removing 159128 relations and 133360 ideals in 25768 cliques
  135. Tue Nov  5 00:42:47 2019  commencing in-memory singleton removal
  136. Tue Nov  5 00:42:49 2019  begin with 28551829 relations and 27835692 unique ideals
  137. Tue Nov  5 00:42:57 2019  reduce to 28551228 relations and 27701731 ideals in 5 passes
  138. Tue Nov  5 00:42:57 2019  max relations containing the same ideal: 75
  139. Tue Nov  5 00:43:02 2019  relations with 0 large ideals: 2400
  140. Tue Nov  5 00:43:02 2019  relations with 1 large ideals: 16118
  141. Tue Nov  5 00:43:02 2019  relations with 2 large ideals: 223729
  142. Tue Nov  5 00:43:02 2019  relations with 3 large ideals: 1288842
  143. Tue Nov  5 00:43:02 2019  relations with 4 large ideals: 3908483
  144. Tue Nov  5 00:43:02 2019  relations with 5 large ideals: 6963188
  145. Tue Nov  5 00:43:02 2019  relations with 6 large ideals: 7742114
  146. Tue Nov  5 00:43:02 2019  relations with 7+ large ideals: 8406354
  147. Tue Nov  5 00:43:02 2019  commencing 2-way merge
  148. Tue Nov  5 00:43:15 2019  reduce to 19145051 relation sets and 18295554 unique ideals
  149. Tue Nov  5 00:43:15 2019  commencing full merge
  150. Tue Nov  5 00:48:51 2019  memory use: 2246.4 MB
  151. Tue Nov  5 00:48:53 2019  found 8239236 cycles, need 8223754
  152. Tue Nov  5 00:48:55 2019  weight of 8223754 cycles is about 1119342126 (136.11/cycle)
  153. Tue Nov  5 00:48:55 2019  distribution of cycle lengths:
  154. Tue Nov  5 00:48:55 2019  1 relations: 180020
  155. Tue Nov  5 00:48:55 2019  2 relations: 374016
  156. Tue Nov  5 00:48:55 2019  3 relations: 483385
  157. Tue Nov  5 00:48:55 2019  4 relations: 532915
  158. Tue Nov  5 00:48:55 2019  5 relations: 577618
  159. Tue Nov  5 00:48:55 2019  6 relations: 591626
  160. Tue Nov  5 00:48:55 2019  7 relations: 599450
  161. Tue Nov  5 00:48:55 2019  8 relations: 587657
  162. Tue Nov  5 00:48:55 2019  9 relations: 560013
  163. Tue Nov  5 00:48:55 2019  10+ relations: 3737054
  164. Tue Nov  5 00:48:55 2019  heaviest cycle: 28 relations
  165. Tue Nov  5 00:48:57 2019  commencing cycle optimization
  166. Tue Nov  5 00:49:12 2019  start with 79996256 relations
  167. Tue Nov  5 00:51:58 2019  pruned 4418503 relations
  168. Tue Nov  5 00:51:58 2019  memory use: 2004.6 MB
  169. Tue Nov  5 00:51:58 2019  distribution of cycle lengths:
  170. Tue Nov  5 00:51:58 2019  1 relations: 180020
  171. Tue Nov  5 00:51:58 2019  2 relations: 385748
  172. Tue Nov  5 00:51:58 2019  3 relations: 506849
  173. Tue Nov  5 00:51:58 2019  4 relations: 560356
  174. Tue Nov  5 00:51:58 2019  5 relations: 613251
  175. Tue Nov  5 00:51:58 2019  6 relations: 629409
  176. Tue Nov  5 00:51:58 2019  7 relations: 640534
  177. Tue Nov  5 00:51:58 2019  8 relations: 625207
  178. Tue Nov  5 00:51:58 2019  9 relations: 594543
  179. Tue Nov  5 00:51:58 2019  10+ relations: 3487837
  180. Tue Nov  5 00:51:58 2019  heaviest cycle: 28 relations
  181. Tue Nov  5 00:52:09 2019  RelProcTime: 5938
  182. Tue Nov  5 00:52:09 2019  
  183. Tue Nov  5 00:52:09 2019  commencing linear algebra
  184. Tue Nov  5 00:52:13 2019  read 8223754 cycles
  185. Tue Nov  5 00:52:30 2019  cycles contain 28136647 unique relations
  186. Tue Nov  5 00:55:11 2019  read 28136647 relations
  187. Tue Nov  5 00:55:53 2019  using 20 quadratic characters above 4294917295
  188. Tue Nov  5 00:57:44 2019  building initial matrix
  189. Tue Nov  5 01:03:29 2019  memory use: 3926.6 MB
  190. Tue Nov  5 01:03:33 2019  read 8223754 cycles
  191. Tue Nov  5 01:03:34 2019  matrix is 8223575 x 8223754 (4286.7 MB) with weight 1314027024 (159.78/col)
  192. Tue Nov  5 01:03:34 2019  sparse part has weight 1025055159 (124.65/col)
  193. Tue Nov  5 01:05:17 2019  filtering completed in 2 passes
  194. Tue Nov  5 01:05:19 2019  matrix is 8223515 x 8223694 (4286.7 MB) with weight 1314024370 (159.79/col)
  195. Tue Nov  5 01:05:19 2019  sparse part has weight 1025054625 (124.65/col)
  196. Tue Nov  5 01:05:47 2019  matrix starts at (0, 0)
  197. Tue Nov  5 01:05:48 2019  matrix is 8223515 x 8223694 (4286.7 MB) with weight 1314024370 (159.79/col)
  198. Tue Nov  5 01:05:48 2019  sparse part has weight 1025054625 (124.65/col)
  199. Tue Nov  5 01:05:48 2019  saving the first 48 matrix rows for later
  200. Tue Nov  5 01:05:49 2019  matrix includes 64 packed rows
  201. Tue Nov  5 01:05:51 2019  matrix is 8223467 x 8223694 (4188.5 MB) with weight 1138527807 (138.44/col)
  202. Tue Nov  5 01:05:51 2019  sparse part has weight 1015742577 (123.51/col)
  203. Tue Nov  5 01:05:51 2019  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  204. Tue Nov  5 01:06:20 2019  commencing Lanczos iteration (4 threads)
  205. Tue Nov  5 01:06:20 2019  memory use: 3880.8 MB
  206. Tue Nov  5 01:07:34 2019  linear algebra at 0.0%, ETA 106h53m
  207. Tue Nov  5 01:07:58 2019  checkpointing every 80000 dimensions
  208. Thu Nov  7 01:40:00 2019  lanczos halted after 130052 iterations (dim = 8223465)
  209. Thu Nov  7 01:40:15 2019  recovered 28 nontrivial dependencies
  210. Thu Nov  7 01:40:15 2019  BLanczosTime: 175686
  211. Thu Nov  7 01:40:15 2019  
  212. Thu Nov  7 01:40:15 2019  commencing square root phase
  213. Thu Nov  7 01:40:15 2019  handling dependencies 1 to 64
  214. Thu Nov  7 01:40:15 2019  reading relations for dependency 1
  215. Thu Nov  7 01:40:16 2019  read 4112643 cycles
  216. Thu Nov  7 01:40:23 2019  cycles contain 14070486 unique relations
  217. Thu Nov  7 01:41:51 2019  read 14070486 relations
  218. Thu Nov  7 01:42:40 2019  multiplying 14070486 relations
  219. Thu Nov  7 01:55:11 2019  multiply complete, coefficients have about 726.47 million bits
  220. Thu Nov  7 01:55:15 2019  initial square root is modulo 3292589
  221. Thu Nov  7 02:09:50 2019  sqrtTime: 1775
  222. Thu Nov  7 02:09:50 2019  p63 factor: 165952240558687686017704893971249267264234726886437182029579901
  223. Thu Nov  7 02:09:50 2019  p106 factor: 3895302994064295375210109311767243614834642421399481397035028171643694740894953493756387739182215092132101
  224. Thu Nov  7 02:09:50 2019  elapsed time 50:56:40
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