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Nov 28th, 2018
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  1. Wed Nov 7 06:26:49 2018
  2. Wed Nov 7 06:26:49 2018 Msieve v. 1.54 (SVN 1025)
  3. Wed Nov 7 06:26:49 2018 random seeds: 951b6a00 ee0641d0
  4. Wed Nov 7 06:26:49 2018 factoring 1470026176205340557671334245951375219824466379900540630395619485651923599839058188667550837457606661236238802813706295376833131039827220722090238326763415576403218005138953531381547842242788283905666711406480152276725563548574849801744957974966544867 (250 digits)
  5. Wed Nov 7 06:26:50 2018 searching for 15-digit factors
  6. Wed Nov 7 06:26:51 2018 commencing number field sieve (250-digit input)
  7. Wed Nov 7 06:26:51 2018 R0: 665860043319738865087230422941091304891802681
  8. Wed Nov 7 06:26:51 2018 R1: -129087241933376588180389974363760340041
  9. Wed Nov 7 06:26:51 2018 A0: 14279
  10. Wed Nov 7 06:26:51 2018 A1: 0
  11. Wed Nov 7 06:26:51 2018 A2: 0
  12. Wed Nov 7 06:26:51 2018 A3: 0
  13. Wed Nov 7 06:26:51 2018 A4: 0
  14. Wed Nov 7 06:26:51 2018 A5: 0
  15. Wed Nov 7 06:26:51 2018 A6: 1
  16. Wed Nov 7 06:26:51 2018 skew 4.93, size 2.262e-13, alpha -0.459, combined = 3.881e-14 rroots = 0
  17. Wed Nov 7 06:26:51 2018
  18. Wed Nov 7 06:26:51 2018 commencing relation filtering
  19. Wed Nov 7 06:26:51 2018 setting max relations to 342000000
  20. Wed Nov 7 06:26:51 2018 setting target matrix density to 140.0
  21. Wed Nov 7 06:26:51 2018 estimated available RAM is 15984.7 MB
  22. Wed Nov 7 06:26:51 2018 commencing duplicate removal, pass 1
  23. Wed Nov 7 06:27:40 2018 error -15 reading relation 7169943
  24. Wed Nov 7 06:39:09 2018 error -1 reading relation 106849559
  25. [ . . . removed 2200 lines of mostly -1 & -11 errors . . . ]
  26. Wed Nov 7 07:05:36 2018 error -1 reading relation 334461877
  27. Wed Nov 7 07:05:36 2018 error -11 reading relation 334461879
  28. Wed Nov 7 07:05:42 2018 error -15 reading relation 335355050
  29. Wed Nov 7 07:05:43 2018 error -15 reading relation 335480990
  30. Wed Nov 7 07:06:28 2018 skipped 281 relations with b > 2^32
  31. Wed Nov 7 07:06:28 2018 skipped 535 relations with composite factors
  32. Wed Nov 7 07:06:28 2018 found 24561775 hash collisions in 341996931 relations
  33. Wed Nov 7 07:06:28 2018 commencing duplicate removal, pass 2
  34. Wed Nov 7 07:08:00 2018 found 0 duplicates and 341996931 unique relations
  35. Wed Nov 7 07:08:00 2018 memory use: 1257.5 MB
  36. Wed Nov 7 07:08:00 2018 reading ideals above 289865728
  37. Wed Nov 7 07:08:00 2018 commencing singleton removal, initial pass
  38. Wed Nov 7 07:36:01 2018 memory use: 6024.0 MB
  39. Wed Nov 7 07:36:01 2018 reading all ideals from disk
  40. Wed Nov 7 07:36:15 2018 memory use: 5809.3 MB
  41. Wed Nov 7 07:36:28 2018 commencing in-memory singleton removal
  42. Wed Nov 7 07:36:41 2018 begin with 341996931 relations and 300202060 unique ideals
  43. Wed Nov 7 07:39:04 2018 reduce to 199398879 relations and 140889216 ideals in 16 passes
  44. Wed Nov 7 07:39:04 2018 max relations containing the same ideal: 36
  45. Wed Nov 7 07:39:13 2018 reading ideals above 720000
  46. Wed Nov 7 07:39:13 2018 commencing singleton removal, initial pass
  47. Wed Nov 7 08:00:57 2018 memory use: 5512.0 MB
  48. Wed Nov 7 08:00:57 2018 reading large ideals from disk
  49. Wed Nov 7 08:02:17 2018 keeping 154342329 ideals with weight <= 20, target excess is 18008991
  50. Wed Nov 7 08:03:38 2018 memory use: 5214.6 MB
  51. Wed Nov 7 08:03:38 2018 commencing in-memory singleton removal
  52. Wed Nov 7 08:03:43 2018 begin with 199398879 relations and 154342329 unique ideals
  53. Wed Nov 7 08:04:47 2018 reduce to 199366082 relations and 154309530 ideals in 9 passes
  54. Wed Nov 7 08:04:47 2018 max relations containing the same ideal: 20
  55. Wed Nov 7 08:05:30 2018 removing 13982044 relations and 11982044 ideals in 2000000 cliques
  56. Wed Nov 7 08:05:34 2018 commencing in-memory singleton removal
  57. Wed Nov 7 08:05:39 2018 begin with 185384038 relations and 154309530 unique ideals
  58. Wed Nov 7 08:06:45 2018 reduce to 184588827 relations and 141521795 ideals in 10 passes
  59. Wed Nov 7 08:06:45 2018 max relations containing the same ideal: 20
  60. Wed Nov 7 08:07:25 2018 removing 10395197 relations and 8395197 ideals in 2000000 cliques
  61. Wed Nov 7 08:07:28 2018 commencing in-memory singleton removal
  62. Wed Nov 7 08:07:33 2018 begin with 174193630 relations and 141521795 unique ideals
  63. Wed Nov 7 08:08:27 2018 reduce to 173682302 relations and 132609367 ideals in 9 passes
  64. Wed Nov 7 08:08:27 2018 max relations containing the same ideal: 20
  65. Wed Nov 7 08:09:04 2018 removing 9290041 relations and 7290041 ideals in 2000000 cliques
  66. Wed Nov 7 08:09:07 2018 commencing in-memory singleton removal
  67. Wed Nov 7 08:09:12 2018 begin with 164392261 relations and 132609367 unique ideals
  68. Wed Nov 7 08:09:57 2018 reduce to 163944978 relations and 124867055 ideals in 8 passes
  69. Wed Nov 7 08:09:57 2018 max relations containing the same ideal: 20
  70. Wed Nov 7 08:10:33 2018 removing 8700741 relations and 6700741 ideals in 2000000 cliques
  71. Wed Nov 7 08:10:35 2018 commencing in-memory singleton removal
  72. Wed Nov 7 08:10:39 2018 begin with 155244237 relations and 124867055 unique ideals
  73. Wed Nov 7 08:11:22 2018 reduce to 154825761 relations and 117743069 ideals in 8 passes
  74. Wed Nov 7 08:11:22 2018 max relations containing the same ideal: 20
  75. Wed Nov 7 08:11:56 2018 removing 8351071 relations and 6351071 ideals in 2000000 cliques
  76. Wed Nov 7 08:11:58 2018 commencing in-memory singleton removal
  77. Wed Nov 7 08:12:02 2018 begin with 146474690 relations and 117743069 unique ideals
  78. Wed Nov 7 08:12:42 2018 reduce to 146074392 relations and 110986934 ideals in 8 passes
  79. Wed Nov 7 08:12:42 2018 max relations containing the same ideal: 20
  80. Wed Nov 7 08:13:14 2018 removing 8092432 relations and 6092432 ideals in 2000000 cliques
  81. Wed Nov 7 08:13:16 2018 commencing in-memory singleton removal
  82. Wed Nov 7 08:13:20 2018 begin with 137981960 relations and 110986934 unique ideals
  83. Wed Nov 7 08:13:55 2018 reduce to 137585662 relations and 104493264 ideals in 8 passes
  84. Wed Nov 7 08:13:55 2018 max relations containing the same ideal: 20
  85. Wed Nov 7 08:14:26 2018 removing 7918930 relations and 5918930 ideals in 2000000 cliques
  86. Wed Nov 7 08:14:28 2018 commencing in-memory singleton removal
  87. Wed Nov 7 08:14:31 2018 begin with 129666732 relations and 104493264 unique ideals
  88. Wed Nov 7 08:15:00 2018 reduce to 129262656 relations and 98164863 ideals in 7 passes
  89. Wed Nov 7 08:15:00 2018 max relations containing the same ideal: 20
  90. Wed Nov 7 08:15:29 2018 removing 7774218 relations and 5774218 ideals in 2000000 cliques
  91. Wed Nov 7 08:15:32 2018 commencing in-memory singleton removal
  92. Wed Nov 7 08:15:35 2018 begin with 121488438 relations and 98164863 unique ideals
  93. Wed Nov 7 08:16:05 2018 reduce to 121072111 relations and 91968464 ideals in 8 passes
  94. Wed Nov 7 08:16:05 2018 max relations containing the same ideal: 20
  95. Wed Nov 7 08:16:32 2018 removing 7707217 relations and 5707217 ideals in 2000000 cliques
  96. Wed Nov 7 08:16:35 2018 commencing in-memory singleton removal
  97. Wed Nov 7 08:16:37 2018 begin with 113364894 relations and 91968464 unique ideals
  98. Wed Nov 7 08:17:06 2018 reduce to 112938350 relations and 85828434 ideals in 8 passes
  99. Wed Nov 7 08:17:06 2018 max relations containing the same ideal: 20
  100. Wed Nov 7 08:17:31 2018 removing 7610777 relations and 5610777 ideals in 2000000 cliques
  101. Wed Nov 7 08:17:33 2018 commencing in-memory singleton removal
  102. Wed Nov 7 08:17:36 2018 begin with 105327573 relations and 85828434 unique ideals
  103. Wed Nov 7 08:18:02 2018 reduce to 104859222 relations and 79741733 ideals in 8 passes
  104. Wed Nov 7 08:18:02 2018 max relations containing the same ideal: 20
  105. Wed Nov 7 08:18:25 2018 removing 7626920 relations and 5626920 ideals in 2000000 cliques
  106. Wed Nov 7 08:18:27 2018 commencing in-memory singleton removal
  107. Wed Nov 7 08:18:30 2018 begin with 97232302 relations and 79741733 unique ideals
  108. Wed Nov 7 08:18:59 2018 reduce to 96749201 relations and 73623404 ideals in 10 passes
  109. Wed Nov 7 08:18:59 2018 max relations containing the same ideal: 20
  110. Wed Nov 7 08:19:21 2018 removing 7596547 relations and 5596547 ideals in 2000000 cliques
  111. Wed Nov 7 08:19:23 2018 commencing in-memory singleton removal
  112. Wed Nov 7 08:19:25 2018 begin with 89152654 relations and 73623404 unique ideals
  113. Wed Nov 7 08:19:46 2018 reduce to 88623450 relations and 67487788 ideals in 8 passes
  114. Wed Nov 7 08:19:46 2018 max relations containing the same ideal: 20
  115. Wed Nov 7 08:20:06 2018 removing 1266747 relations and 1021515 ideals in 245232 cliques
  116. Wed Nov 7 08:20:08 2018 commencing in-memory singleton removal
  117. Wed Nov 7 08:20:10 2018 begin with 87356703 relations and 67487788 unique ideals
  118. Wed Nov 7 08:20:33 2018 reduce to 87341172 relations and 66450700 ideals in 9 passes
  119. Wed Nov 7 08:20:33 2018 max relations containing the same ideal: 20
  120. Wed Nov 7 08:20:38 2018 relations with 0 large ideals: 2647422
  121. Wed Nov 7 08:20:38 2018 relations with 1 large ideals: 13926155
  122. Wed Nov 7 08:20:38 2018 relations with 2 large ideals: 28074646
  123. Wed Nov 7 08:20:38 2018 relations with 3 large ideals: 26491429
  124. Wed Nov 7 08:20:38 2018 relations with 4 large ideals: 12589382
  125. Wed Nov 7 08:20:38 2018 relations with 5 large ideals: 3141563
  126. Wed Nov 7 08:20:38 2018 relations with 6 large ideals: 433508
  127. Wed Nov 7 08:20:38 2018 relations with 7+ large ideals: 37067
  128. Wed Nov 7 08:20:38 2018 commencing 2-way merge
  129. Wed Nov 7 08:21:03 2018 reduce to 53527542 relation sets and 32637070 unique ideals
  130. Wed Nov 7 08:21:03 2018 commencing full merge
  131. Wed Nov 7 08:26:24 2018 memory use: 2734.1 MB
  132. Wed Nov 7 08:26:28 2018 found 22427673 cycles, need 21073270
  133. Wed Nov 7 08:26:32 2018 weight of 21073270 cycles is about 2950790764 (140.03/cycle)
  134. Wed Nov 7 08:26:33 2018 distribution of cycle lengths:
  135. Wed Nov 7 08:26:33 2018 1 relations: 2670347
  136. Wed Nov 7 08:26:33 2018 2 relations: 1314758
  137. Wed Nov 7 08:26:33 2018 3 relations: 1156002
  138. Wed Nov 7 08:26:33 2018 4 relations: 1083563
  139. Wed Nov 7 08:26:33 2018 5 relations: 1068595
  140. Wed Nov 7 08:26:33 2018 6 relations: 1041628
  141. Wed Nov 7 08:26:33 2018 7 relations: 1030822
  142. Wed Nov 7 08:26:33 2018 8 relations: 1008881
  143. Wed Nov 7 08:26:33 2018 9 relations: 985979
  144. Wed Nov 7 08:26:33 2018 10+ relations: 9712695
  145. Wed Nov 7 08:26:33 2018 heaviest cycle: 27 relations
  146. Wed Nov 7 08:26:33 2018 commencing cycle optimization
  147. Wed Nov 7 08:27:07 2018 start with 200085384 relations
  148. Wed Nov 7 08:33:29 2018 pruned 14757197 relations
  149. Wed Nov 7 08:33:29 2018 memory use: 5076.7 MB
  150. Wed Nov 7 08:33:29 2018 distribution of cycle lengths:
  151. Wed Nov 7 08:33:29 2018 1 relations: 2670347
  152. Wed Nov 7 08:33:29 2018 2 relations: 1366387
  153. Wed Nov 7 08:33:29 2018 3 relations: 1226092
  154. Wed Nov 7 08:33:29 2018 4 relations: 1158227
  155. Wed Nov 7 08:33:29 2018 5 relations: 1157845
  156. Wed Nov 7 08:33:29 2018 6 relations: 1137154
  157. Wed Nov 7 08:33:29 2018 7 relations: 1136699
  158. Wed Nov 7 08:33:29 2018 8 relations: 1115615
  159. Wed Nov 7 08:33:29 2018 9 relations: 1094428
  160. Wed Nov 7 08:33:29 2018 10+ relations: 9010476
  161. Wed Nov 7 08:33:29 2018 heaviest cycle: 27 relations
  162. Wed Nov 7 08:34:01 2018 RelProcTime: 7630
  163. Wed Nov 7 08:34:07 2018
  164. Wed Nov 7 08:34:07 2018 commencing linear algebra
  165. Wed Nov 7 08:34:08 2018 read 21073270 cycles
  166. Wed Nov 7 08:34:48 2018 cycles contain 75454307 unique relations
  167. Wed Nov 7 08:40:24 2018 read 75454307 relations
  168. Wed Nov 7 08:42:46 2018 using 20 quadratic characters above 4294917295
  169. Wed Nov 7 08:47:05 2018 building initial matrix
  170. Wed Nov 7 09:00:38 2018 memory use: 10142.3 MB
  171. Wed Nov 7 09:01:08 2018 read 21073270 cycles
  172. Wed Nov 7 09:01:11 2018 matrix is 21072976 x 21073270 (10797.0 MB) with weight 3113940866 (147.77/col)
  173. Wed Nov 7 09:01:11 2018 sparse part has weight 2598569499 (123.31/col)
  174. Wed Nov 7 09:08:17 2018 filtering completed in 3 passes
  175. Wed Nov 7 09:08:20 2018 matrix is 21067436 x 21067636 (10795.6 MB) with weight 3113479897 (147.78/col)
  176. Wed Nov 7 09:08:20 2018 sparse part has weight 2598251623 (123.33/col)
  177. Wed Nov 7 09:09:42 2018 matrix starts at (0, 0)
  178. Wed Nov 7 09:09:45 2018 matrix is 21067436 x 21067636 (10795.6 MB) with weight 3113479897 (147.78/col)
  179. Wed Nov 7 09:09:45 2018 sparse part has weight 2598251623 (123.33/col)
  180. Wed Nov 7 09:09:45 2018 saving the first 48 matrix rows for later
  181. Wed Nov 7 09:09:49 2018 matrix includes 64 packed rows
  182. Wed Nov 7 09:09:52 2018 matrix is 21067388 x 21067636 (10387.1 MB) with weight 2685079574 (127.45/col)
  183. Wed Nov 7 09:09:52 2018 sparse part has weight 2512250164 (119.25/col)
  184. Wed Nov 7 09:09:52 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  185. Wed Nov 7 09:11:20 2018 commencing Lanczos iteration (4 threads)
  186. Wed Nov 7 09:11:20 2018 memory use: 10000.4 MB
  187. Wed Nov 7 09:13:23 2018 linear algebra at 0.0%, ETA 454h52m
  188. Wed Nov 7 09:14:02 2018 checkpointing every 50000 dimensions
  189. Mon Nov 26 04:51:31 2018 lanczos halted after 333145 iterations (dim = 21067385)
  190. Mon Nov 26 04:51:51 2018 recovered 33 nontrivial dependencies
  191. Mon Nov 26 04:51:52 2018 BLanczosTime: 1628265
  192. Mon Nov 26 04:51:52 2018
  193. Mon Nov 26 04:51:52 2018 commencing square root phase
  194. Mon Nov 26 04:51:52 2018 handling dependencies 1 to 64
  195. Mon Nov 26 04:51:52 2018 reading relations for dependency 1
  196. Mon Nov 26 04:51:54 2018 read 10538549 cycles
  197. Mon Nov 26 04:52:13 2018 cycles contain 37732148 unique relations
  198. Mon Nov 26 04:55:21 2018 read 37732148 relations
  199. Mon Nov 26 04:58:02 2018 multiplying 37732148 relations
  200. Mon Nov 26 05:24:31 2018 multiply complete, coefficients have about 1040.08 million bits
  201. Mon Nov 26 05:24:35 2018 initial square root is modulo 2143159489
  202. Mon Nov 26 05:51:36 2018 sqrtTime: 3584
  203. Mon Nov 26 05:51:36 2018 p94 factor: 1169236349972187550885274768132980019260205801056966522788440812894208827654563749438604589427
  204. Mon Nov 26 05:51:36 2018 p157 factor: 1257253228776464099085701239355470426063049725053193460638869276394968648947499213603908321736683513682085367172669580374360287093874790500362731048889184721
  205. Mon Nov 26 05:51:36 2018 elapsed time 455:24:47
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