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6p5_930M

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Aug 26th, 2019
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  1. Sun Aug 25 14:47:04 2019
  2. Sun Aug 25 14:47:04 2019
  3. Sun Aug 25 14:47:04 2019 Msieve v. 1.53 (SVN 988M)
  4. Sun Aug 25 14:47:04 2019 random seeds: a9b0abe2 c85c3c1c
  5. Sun Aug 25 14:47:04 2019 factoring 182392500798120952907326796142108699572239236596841299967908718181034950898179460237651711034172807909045888220807950361206451245895801077906886246228555185063556413561 (168 digits)
  6. Sun Aug 25 14:47:05 2019 searching for 15-digit factors
  7. Sun Aug 25 14:47:06 2019 commencing number field sieve (168-digit input)
  8. Sun Aug 25 14:47:06 2019 R0: -616262776489168597385810320261871
  9. Sun Aug 25 14:47:06 2019 R1: 221155020583499198
  10. Sun Aug 25 14:47:06 2019 A0: -197641977947060664225621745986419583966330
  11. Sun Aug 25 14:47:06 2019 A1: 42397299470116884375863893856302941
  12. Sun Aug 25 14:47:06 2019 A2: 2007740096245768738568015687
  13. Sun Aug 25 14:47:06 2019 A3: -30065662244536458046
  14. Sun Aug 25 14:47:06 2019 A4: -1572897147141
  15. Sun Aug 25 14:47:06 2019 A5: 4104
  16. Sun Aug 25 14:47:06 2019 skew 46441283.94, size 2.435e-16, alpha -6.905, combined = 4.929e-13 rroots = 3
  17. Sun Aug 25 14:47:06 2019
  18. Sun Aug 25 14:47:06 2019 commencing relation filtering
  19. Sun Aug 25 14:47:06 2019 setting target matrix density to 130.0
  20. Sun Aug 25 14:47:06 2019 estimated available RAM is 32768.0 MB
  21. Sun Aug 25 14:47:06 2019 commencing duplicate removal, pass 1
  22. Sun Aug 25 14:52:06 2019 error -15 reading relation 48815795
  23. [281 more error lines]
  24. Sun Aug 25 15:07:25 2019 error -1 reading relation 199666209
  25. Sun Aug 25 15:07:56 2019 skipped 1 relations with b > 2^32
  26. Sun Aug 25 15:07:56 2019 skipped 216 relations with composite factors
  27. Sun Aug 25 15:07:56 2019 found 9173893 hash collisions in 204812607 relations
  28. Sun Aug 25 15:08:18 2019 added 122685 free relations
  29. Sun Aug 25 15:08:18 2019 commencing duplicate removal, pass 2
  30. Sun Aug 25 15:09:03 2019 found 23 duplicates and 204935269 unique relations
  31. Sun Aug 25 15:09:03 2019 memory use: 522.4 MB
  32. Sun Aug 25 15:09:04 2019 reading ideals above 139919360
  33. Sun Aug 25 15:09:04 2019 commencing singleton removal, initial pass
  34. Sun Aug 25 15:23:55 2019 memory use: 3012.0 MB
  35. Sun Aug 25 15:23:56 2019 reading all ideals from disk
  36. Sun Aug 25 15:23:58 2019 memory use: 3437.3 MB
  37. Sun Aug 25 15:24:04 2019 commencing in-memory singleton removal
  38. Sun Aug 25 15:24:11 2019 begin with 204935269 relations and 160443820 unique ideals
  39. Sun Aug 25 15:25:29 2019 reduce to 140574190 relations and 90083827 ideals in 13 passes
  40. Sun Aug 25 15:25:29 2019 max relations containing the same ideal: 47
  41. Sun Aug 25 15:25:40 2019 reading ideals above 720000
  42. Sun Aug 25 15:25:40 2019 commencing singleton removal, initial pass
  43. Sun Aug 25 15:39:10 2019 memory use: 2756.0 MB
  44. Sun Aug 25 15:39:11 2019 reading all ideals from disk
  45. Sun Aug 25 15:39:14 2019 memory use: 5397.6 MB
  46. Sun Aug 25 15:39:25 2019 keeping 105174461 ideals with weight <= 200, target excess is 722160
  47. Sun Aug 25 15:39:38 2019 commencing in-memory singleton removal
  48. Sun Aug 25 15:39:47 2019 begin with 140574191 relations and 105174461 unique ideals
  49. Sun Aug 25 15:41:08 2019 reduce to 140569492 relations and 105169762 ideals in 8 passes
  50. Sun Aug 25 15:41:08 2019 max relations containing the same ideal: 200
  51. Sun Aug 25 15:41:58 2019 removing 9857279 relations and 7857279 ideals in 2000000 cliques
  52. Sun Aug 25 15:42:01 2019 commencing in-memory singleton removal
  53. Sun Aug 25 15:42:09 2019 begin with 130712213 relations and 105169762 unique ideals
  54. Sun Aug 25 15:43:16 2019 reduce to 130201924 relations and 96792874 ideals in 7 passes
  55. Sun Aug 25 15:43:16 2019 max relations containing the same ideal: 197
  56. Sun Aug 25 15:44:02 2019 removing 7521347 relations and 5521347 ideals in 2000000 cliques
  57. Sun Aug 25 15:44:05 2019 commencing in-memory singleton removal
  58. Sun Aug 25 15:44:13 2019 begin with 122680577 relations and 96792874 unique ideals
  59. Sun Aug 25 15:45:15 2019 reduce to 122336119 relations and 90921675 ideals in 7 passes
  60. Sun Aug 25 15:45:15 2019 max relations containing the same ideal: 195
  61. Sun Aug 25 15:45:59 2019 removing 6845729 relations and 4845729 ideals in 2000000 cliques
  62. Sun Aug 25 15:46:01 2019 commencing in-memory singleton removal
  63. Sun Aug 25 15:46:09 2019 begin with 115490390 relations and 90921675 unique ideals
  64. Sun Aug 25 15:47:07 2019 reduce to 115191511 relations and 85772384 ideals in 7 passes
  65. Sun Aug 25 15:47:07 2019 max relations containing the same ideal: 191
  66. Sun Aug 25 15:47:48 2019 removing 6498528 relations and 4498528 ideals in 2000000 cliques
  67. Sun Aug 25 15:47:50 2019 commencing in-memory singleton removal
  68. Sun Aug 25 15:47:57 2019 begin with 108692983 relations and 85772384 unique ideals
  69. Sun Aug 25 15:48:52 2019 reduce to 108416927 relations and 80993236 ideals in 7 passes
  70. Sun Aug 25 15:48:52 2019 max relations containing the same ideal: 183
  71. Sun Aug 25 15:49:30 2019 removing 6282160 relations and 4282160 ideals in 2000000 cliques
  72. Sun Aug 25 15:49:33 2019 commencing in-memory singleton removal
  73. Sun Aug 25 15:49:39 2019 begin with 102134767 relations and 80993236 unique ideals
  74. Sun Aug 25 15:50:30 2019 reduce to 101870680 relations and 76442436 ideals in 7 passes
  75. Sun Aug 25 15:50:30 2019 max relations containing the same ideal: 174
  76. Sun Aug 25 15:51:07 2019 removing 6125666 relations and 4125666 ideals in 2000000 cliques
  77. Sun Aug 25 15:51:09 2019 commencing in-memory singleton removal
  78. Sun Aug 25 15:51:15 2019 begin with 95745014 relations and 76442436 unique ideals
  79. Sun Aug 25 15:51:56 2019 reduce to 95485876 relations and 72053073 ideals in 6 passes
  80. Sun Aug 25 15:51:56 2019 max relations containing the same ideal: 166
  81. Sun Aug 25 15:52:31 2019 removing 6013090 relations and 4013090 ideals in 2000000 cliques
  82. Sun Aug 25 15:52:33 2019 commencing in-memory singleton removal
  83. Sun Aug 25 15:52:39 2019 begin with 89472786 relations and 72053073 unique ideals
  84. Sun Aug 25 15:53:23 2019 reduce to 89212619 relations and 67774946 ideals in 7 passes
  85. Sun Aug 25 15:53:23 2019 max relations containing the same ideal: 160
  86. Sun Aug 25 15:53:55 2019 removing 5928341 relations and 3928341 ideals in 2000000 cliques
  87. Sun Aug 25 15:53:57 2019 commencing in-memory singleton removal
  88. Sun Aug 25 15:54:03 2019 begin with 83284278 relations and 67774946 unique ideals
  89. Sun Aug 25 15:54:43 2019 reduce to 83021066 relations and 63578121 ideals in 7 passes
  90. Sun Aug 25 15:54:43 2019 max relations containing the same ideal: 151
  91. Sun Aug 25 15:55:14 2019 removing 5863187 relations and 3863187 ideals in 2000000 cliques
  92. Sun Aug 25 15:55:16 2019 commencing in-memory singleton removal
  93. Sun Aug 25 15:55:21 2019 begin with 77157879 relations and 63578121 unique ideals
  94. Sun Aug 25 15:55:53 2019 reduce to 76887404 relations and 59438694 ideals in 6 passes
  95. Sun Aug 25 15:55:53 2019 max relations containing the same ideal: 145
  96. Sun Aug 25 15:56:21 2019 removing 5817041 relations and 3817041 ideals in 2000000 cliques
  97. Sun Aug 25 15:56:23 2019 commencing in-memory singleton removal
  98. Sun Aug 25 15:56:28 2019 begin with 71070363 relations and 59438694 unique ideals
  99. Sun Aug 25 15:56:57 2019 reduce to 70789697 relations and 55334450 ideals in 6 passes
  100. Sun Aug 25 15:56:57 2019 max relations containing the same ideal: 136
  101. Sun Aug 25 15:57:24 2019 removing 5785303 relations and 3785303 ideals in 2000000 cliques
  102. Sun Aug 25 15:57:26 2019 commencing in-memory singleton removal
  103. Sun Aug 25 15:57:29 2019 begin with 65004394 relations and 55334450 unique ideals
  104. Sun Aug 25 15:57:56 2019 reduce to 64707628 relations and 51245075 ideals in 6 passes
  105. Sun Aug 25 15:57:56 2019 max relations containing the same ideal: 128
  106. Sun Aug 25 15:58:20 2019 removing 5765078 relations and 3765078 ideals in 2000000 cliques
  107. Sun Aug 25 15:58:22 2019 commencing in-memory singleton removal
  108. Sun Aug 25 15:58:26 2019 begin with 58942550 relations and 51245075 unique ideals
  109. Sun Aug 25 15:58:50 2019 reduce to 58627609 relations and 47156607 ideals in 6 passes
  110. Sun Aug 25 15:58:50 2019 max relations containing the same ideal: 124
  111. Sun Aug 25 15:59:12 2019 removing 5757568 relations and 3757568 ideals in 2000000 cliques
  112. Sun Aug 25 15:59:14 2019 commencing in-memory singleton removal
  113. Sun Aug 25 15:59:17 2019 begin with 52870041 relations and 47156607 unique ideals
  114. Sun Aug 25 15:59:42 2019 reduce to 52529779 relations and 43048782 ideals in 7 passes
  115. Sun Aug 25 15:59:42 2019 max relations containing the same ideal: 113
  116. Sun Aug 25 16:00:01 2019 removing 5756312 relations and 3756312 ideals in 2000000 cliques
  117. Sun Aug 25 16:00:03 2019 commencing in-memory singleton removal
  118. Sun Aug 25 16:00:06 2019 begin with 46773467 relations and 43048782 unique ideals
  119. Sun Aug 25 16:00:25 2019 reduce to 46397807 relations and 38904534 ideals in 6 passes
  120. Sun Aug 25 16:00:25 2019 max relations containing the same ideal: 104
  121. Sun Aug 25 16:00:42 2019 removing 5771600 relations and 3771600 ideals in 2000000 cliques
  122. Sun Aug 25 16:00:44 2019 commencing in-memory singleton removal
  123. Sun Aug 25 16:00:46 2019 begin with 40626207 relations and 38904534 unique ideals
  124. Sun Aug 25 16:01:08 2019 reduce to 40202476 relations and 34693950 ideals in 8 passes
  125. Sun Aug 25 16:01:08 2019 max relations containing the same ideal: 94
  126. Sun Aug 25 16:01:23 2019 removing 5796511 relations and 3796511 ideals in 2000000 cliques
  127. Sun Aug 25 16:01:24 2019 commencing in-memory singleton removal
  128. Sun Aug 25 16:01:26 2019 begin with 34405965 relations and 34693950 unique ideals
  129. Sun Aug 25 16:01:42 2019 reduce to 33912186 relations and 30383335 ideals in 7 passes
  130. Sun Aug 25 16:01:42 2019 max relations containing the same ideal: 85
  131. Sun Aug 25 16:01:55 2019 removing 5838233 relations and 3838233 ideals in 2000000 cliques
  132. Sun Aug 25 16:01:56 2019 commencing in-memory singleton removal
  133. Sun Aug 25 16:01:58 2019 begin with 28073953 relations and 30383335 unique ideals
  134. Sun Aug 25 16:02:12 2019 reduce to 27459645 relations and 25900840 ideals in 8 passes
  135. Sun Aug 25 16:02:12 2019 max relations containing the same ideal: 72
  136. Sun Aug 25 16:02:22 2019 removing 2575689 relations and 1854590 ideals in 721099 cliques
  137. Sun Aug 25 16:02:24 2019 commencing in-memory singleton removal
  138. Sun Aug 25 16:02:25 2019 begin with 24883956 relations and 25900840 unique ideals
  139. Sun Aug 25 16:02:36 2019 reduce to 24709317 relations and 23867614 ideals in 7 passes
  140. Sun Aug 25 16:02:36 2019 max relations containing the same ideal: 67
  141. Sun Aug 25 16:02:48 2019 relations with 0 large ideals: 2404
  142. Sun Aug 25 16:02:48 2019 relations with 1 large ideals: 17410
  143. Sun Aug 25 16:02:48 2019 relations with 2 large ideals: 234694
  144. Sun Aug 25 16:02:48 2019 relations with 3 large ideals: 1299069
  145. Sun Aug 25 16:02:48 2019 relations with 4 large ideals: 3744912
  146. Sun Aug 25 16:02:48 2019 relations with 5 large ideals: 6308725
  147. Sun Aug 25 16:02:48 2019 relations with 6 large ideals: 6606563
  148. Sun Aug 25 16:02:48 2019 relations with 7+ large ideals: 6495540
  149. Sun Aug 25 16:02:48 2019 commencing 2-way merge
  150. Sun Aug 25 16:03:00 2019 reduce to 16369559 relation sets and 15527856 unique ideals
  151. Sun Aug 25 16:03:00 2019 commencing full merge
  152. Sun Aug 25 16:08:02 2019 memory use: 1936.4 MB
  153. Sun Aug 25 16:08:05 2019 found 7236608 cycles, need 7176056
  154. Sun Aug 25 16:08:05 2019 weight of 7176056 cycles is about 933689670 (130.11/cycle)
  155. Sun Aug 25 16:08:05 2019 distribution of cycle lengths:
  156. Sun Aug 25 16:08:05 2019 1 relations: 171569
  157. Sun Aug 25 16:08:05 2019 2 relations: 341255
  158. Sun Aug 25 16:08:05 2019 3 relations: 438345
  159. Sun Aug 25 16:08:05 2019 4 relations: 481513
  160. Sun Aug 25 16:08:05 2019 5 relations: 524811
  161. Sun Aug 25 16:08:05 2019 6 relations: 538051
  162. Sun Aug 25 16:08:05 2019 7 relations: 540423
  163. Sun Aug 25 16:08:05 2019 8 relations: 527619
  164. Sun Aug 25 16:08:05 2019 9 relations: 502345
  165. Sun Aug 25 16:08:05 2019 10+ relations: 3110125
  166. Sun Aug 25 16:08:05 2019 heaviest cycle: 28 relations
  167. Sun Aug 25 16:08:08 2019 commencing cycle optimization
  168. Sun Aug 25 16:08:24 2019 start with 66821791 relations
  169. Sun Aug 25 16:11:10 2019 pruned 3514752 relations
  170. Sun Aug 25 16:11:10 2019 memory use: 1709.9 MB
  171. Sun Aug 25 16:11:10 2019 distribution of cycle lengths:
  172. Sun Aug 25 16:11:10 2019 1 relations: 171569
  173. Sun Aug 25 16:11:10 2019 2 relations: 351581
  174. Sun Aug 25 16:11:10 2019 3 relations: 459435
  175. Sun Aug 25 16:11:10 2019 4 relations: 505951
  176. Sun Aug 25 16:11:10 2019 5 relations: 556606
  177. Sun Aug 25 16:11:10 2019 6 relations: 570808
  178. Sun Aug 25 16:11:10 2019 7 relations: 576263
  179. Sun Aug 25 16:11:10 2019 8 relations: 561137
  180. Sun Aug 25 16:11:10 2019 9 relations: 533540
  181. Sun Aug 25 16:11:10 2019 10+ relations: 2889166
  182. Sun Aug 25 16:11:10 2019 heaviest cycle: 28 relations
  183. Sun Aug 25 16:11:26 2019 RelProcTime: 5060
  184. Sun Aug 25 16:11:26 2019
  185. Sun Aug 25 16:11:26 2019 commencing linear algebra
  186. Sun Aug 25 16:11:27 2019 read 7176056 cycles
  187. Sun Aug 25 16:11:43 2019 cycles contain 24289917 unique relations
  188. Sun Aug 25 16:13:22 2019 read 24289917 relations
  189. Sun Aug 25 16:14:09 2019 using 20 quadratic characters above 4294917295
  190. Sun Aug 25 16:15:35 2019 building initial matrix
  191. Sun Aug 25 16:19:55 2019 memory use: 3420.1 MB
  192. Sun Aug 25 16:20:01 2019 read 7176056 cycles
  193. Sun Aug 25 16:20:02 2019 matrix is 7175877 x 7176056 (3606.7 MB) with weight 1107846252 (154.38/col)
  194. Sun Aug 25 16:20:02 2019 sparse part has weight 859349403 (119.75/col)
  195. Sun Aug 25 16:21:18 2019 filtering completed in 2 passes
  196. Sun Aug 25 16:21:19 2019 matrix is 7175751 x 7175930 (3606.6 MB) with weight 1107840123 (154.38/col)
  197. Sun Aug 25 16:21:19 2019 sparse part has weight 859347854 (119.75/col)
  198. Sun Aug 25 16:21:42 2019 matrix starts at (0, 0)
  199. Sun Aug 25 16:21:43 2019 matrix is 7175751 x 7175930 (3606.6 MB) with weight 1107840123 (154.38/col)
  200. Sun Aug 25 16:21:43 2019 sparse part has weight 859347854 (119.75/col)
  201. Sun Aug 25 16:21:43 2019 saving the first 48 matrix rows for later
  202. Sun Aug 25 16:21:44 2019 matrix includes 64 packed rows
  203. Sun Aug 25 16:21:44 2019 matrix is 7175703 x 7175930 (3540.0 MB) with weight 958961868 (133.64/col)
  204. Sun Aug 25 16:21:44 2019 sparse part has weight 856239678 (119.32/col)
  205. Sun Aug 25 16:21:44 2019 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  206. Sun Aug 25 16:22:23 2019 commencing Lanczos iteration (8 threads)
  207. Sun Aug 25 16:22:23 2019 memory use: 2937.0 MB
  208. Sun Aug 25 16:22:37 2019 linear algebra at 0.0%, ETA 17h 4m
  209. Sun Aug 25 16:22:41 2019 checkpointing every 430000 dimensions
  210. Mon Aug 26 10:54:03 2019 lanczos halted after 113473 iterations (dim = 7175703)
  211. Mon Aug 26 10:54:09 2019 recovered 34 nontrivial dependencies
  212. Mon Aug 26 10:54:10 2019 BLanczosTime: 67364
  213. Mon Aug 26 10:54:10 2019
  214. Mon Aug 26 10:54:10 2019 commencing square root phase
  215. Mon Aug 26 10:54:10 2019 handling dependencies 1 to 64
  216. Mon Aug 26 10:54:10 2019 reading relations for dependency 1
  217. Mon Aug 26 10:54:11 2019 read 3587994 cycles
  218. Mon Aug 26 10:54:19 2019 cycles contain 12147138 unique relations
  219. Mon Aug 26 10:55:15 2019 read 12147138 relations
  220. Mon Aug 26 10:56:05 2019 multiplying 12147138 relations
  221. Mon Aug 26 11:05:40 2019 multiply complete, coefficients have about 626.56 million bits
  222. Mon Aug 26 11:05:43 2019 initial square root is modulo 418321
  223. Mon Aug 26 11:16:51 2019 sqrtTime: 1361
  224. Mon Aug 26 11:16:51 2019 p59 factor: 87058382273099699875779926607357506417200505517566246451181
  225. Mon Aug 26 11:16:51 2019 p109 factor: 2095059614431621311135598690819079566420449771752689929497068903050585177104765451567206397975200341649905981
  226. Mon Aug 26 11:16:51 2019 elapsed time 20:29:47
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