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Dec 27th, 2018
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  1. Tue Dec 25 22:31:10 2018
  2. Tue Dec 25 22:31:10 2018
  3. Tue Dec 25 22:31:10 2018 Msieve v. 1.53 (SVN 988M)
  4. Tue Dec 25 22:31:10 2018 random seeds: fe292bfd 21436bd6
  5. Tue Dec 25 22:31:10 2018 factoring 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999929999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (243 digits)
  6. Tue Dec 25 22:31:11 2018 searching for 15-digit factors
  7. Tue Dec 25 22:31:13 2018 commencing number field sieve (243-digit input)
  8. Tue Dec 25 22:31:13 2018 R0: -10000000000000000000000000000000000000000
  9. Tue Dec 25 22:31:13 2018 R1: 1
  10. Tue Dec 25 22:31:13 2018 A0: -1
  11. Tue Dec 25 22:31:13 2018 A1: 0
  12. Tue Dec 25 22:31:13 2018 A2: 0
  13. Tue Dec 25 22:31:13 2018 A3: -70
  14. Tue Dec 25 22:31:13 2018 A4: 0
  15. Tue Dec 25 22:31:13 2018 A5: 0
  16. Tue Dec 25 22:31:13 2018 A6: 1000
  17. Tue Dec 25 22:31:13 2018 skew 1.00, size 3.477e-12, alpha 1.276, combined = 2.881e-13 rroots = 2
  18. Tue Dec 25 22:31:13 2018
  19. Tue Dec 25 22:31:13 2018 commencing relation filtering
  20. Tue Dec 25 22:31:13 2018 setting target matrix density to 120.0
  21. Tue Dec 25 22:31:13 2018 estimated available RAM is 32768.0 MB
  22. Tue Dec 25 22:31:13 2018 commencing duplicate removal, pass 1
  23. Tue Dec 25 22:32:06 2018 error -9 reading relation 7397498
  24. ...
  25. Tue Dec 25 22:55:28 2018 error -9 reading relation 221942169
  26. Tue Dec 25 22:55:28 2018 skipped 345 relations with b > 2^32
  27. Tue Dec 25 22:55:28 2018 skipped 699 relations with composite factors
  28. Tue Dec 25 22:55:28 2018 found 46955095 hash collisions in 222028599 relations
  29. Tue Dec 25 22:55:41 2018 added 1218294 free relations
  30. Tue Dec 25 22:55:41 2018 commencing duplicate removal, pass 2
  31. Tue Dec 25 22:58:47 2018 found 48032436 duplicates and 175214457 unique relations
  32. Tue Dec 25 22:58:47 2018 memory use: 1321.5 MB
  33. Tue Dec 25 22:58:47 2018 reading ideals above 179765248
  34. Tue Dec 25 22:58:47 2018 commencing singleton removal, initial pass
  35. Tue Dec 25 23:13:11 2018 memory use: 3012.0 MB
  36. Tue Dec 25 23:13:11 2018 reading all ideals from disk
  37. Tue Dec 25 23:13:13 2018 memory use: 2847.9 MB
  38. Tue Dec 25 23:13:18 2018 commencing in-memory singleton removal
  39. Tue Dec 25 23:13:22 2018 begin with 175214457 relations and 149553611 unique ideals
  40. Tue Dec 25 23:14:21 2018 reduce to 100625451 relations and 65898683 ideals in 15 passes
  41. Tue Dec 25 23:14:21 2018 max relations containing the same ideal: 32
  42. Tue Dec 25 23:14:29 2018 reading ideals above 720000
  43. Tue Dec 25 23:14:29 2018 commencing singleton removal, initial pass
  44. Tue Dec 25 23:26:07 2018 memory use: 2756.0 MB
  45. Tue Dec 25 23:26:07 2018 reading all ideals from disk
  46. Tue Dec 25 23:26:10 2018 memory use: 3939.2 MB
  47. Tue Dec 25 23:26:18 2018 keeping 85397561 ideals with weight <= 200, target excess is 527439
  48. Tue Dec 25 23:26:27 2018 commencing in-memory singleton removal
  49. Tue Dec 25 23:26:34 2018 begin with 100625452 relations and 85397561 unique ideals
  50. Tue Dec 25 23:27:44 2018 reduce to 100548746 relations and 85320791 ideals in 10 passes
  51. Tue Dec 25 23:27:44 2018 max relations containing the same ideal: 200
  52. Tue Dec 25 23:28:23 2018 removing 11709907 relations and 9709907 ideals in 2000000 cliques
  53. Tue Dec 25 23:28:26 2018 commencing in-memory singleton removal
  54. Tue Dec 25 23:28:32 2018 begin with 88838839 relations and 85320791 unique ideals
  55. Tue Dec 25 23:29:28 2018 reduce to 87854319 relations and 74601661 ideals in 9 passes
  56. Tue Dec 25 23:29:28 2018 max relations containing the same ideal: 194
  57. Tue Dec 25 23:30:02 2018 removing 8843551 relations and 6843551 ideals in 2000000 cliques
  58. Tue Dec 25 23:30:05 2018 commencing in-memory singleton removal
  59. Tue Dec 25 23:30:10 2018 begin with 79010768 relations and 74601661 unique ideals
  60. Tue Dec 25 23:30:54 2018 reduce to 78355282 relations and 67087967 ideals in 8 passes
  61. Tue Dec 25 23:30:54 2018 max relations containing the same ideal: 180
  62. Tue Dec 25 23:31:25 2018 removing 7968878 relations and 5968878 ideals in 2000000 cliques
  63. Tue Dec 25 23:31:27 2018 commencing in-memory singleton removal
  64. Tue Dec 25 23:31:32 2018 begin with 70386404 relations and 67087967 unique ideals
  65. Tue Dec 25 23:32:10 2018 reduce to 69800763 relations and 60519698 ideals in 8 passes
  66. Tue Dec 25 23:32:10 2018 max relations containing the same ideal: 168
  67. Tue Dec 25 23:32:38 2018 removing 7507363 relations and 5507363 ideals in 2000000 cliques
  68. Tue Dec 25 23:32:40 2018 commencing in-memory singleton removal
  69. Tue Dec 25 23:32:44 2018 begin with 62293400 relations and 60519698 unique ideals
  70. Tue Dec 25 23:33:18 2018 reduce to 61727278 relations and 54431806 ideals in 8 passes
  71. Tue Dec 25 23:33:18 2018 max relations containing the same ideal: 153
  72. Tue Dec 25 23:33:42 2018 removing 7210999 relations and 5210999 ideals in 2000000 cliques
  73. Tue Dec 25 23:33:45 2018 commencing in-memory singleton removal
  74. Tue Dec 25 23:33:48 2018 begin with 54516279 relations and 54431806 unique ideals
  75. Tue Dec 25 23:34:14 2018 reduce to 53945157 relations and 48633704 ideals in 7 passes
  76. Tue Dec 25 23:34:14 2018 max relations containing the same ideal: 142
  77. Tue Dec 25 23:34:35 2018 removing 7000234 relations and 5000234 ideals in 2000000 cliques
  78. Tue Dec 25 23:34:37 2018 commencing in-memory singleton removal
  79. Tue Dec 25 23:34:40 2018 begin with 46944923 relations and 48633704 unique ideals
  80. Tue Dec 25 23:35:05 2018 reduce to 46337526 relations and 43006830 ideals in 8 passes
  81. Tue Dec 25 23:35:05 2018 max relations containing the same ideal: 128
  82. Tue Dec 25 23:35:24 2018 removing 6860292 relations and 4860292 ideals in 2000000 cliques
  83. Tue Dec 25 23:35:25 2018 commencing in-memory singleton removal
  84. Tue Dec 25 23:35:28 2018 begin with 39477234 relations and 43006830 unique ideals
  85. Tue Dec 25 23:35:49 2018 reduce to 38795999 relations and 37440024 ideals in 8 passes
  86. Tue Dec 25 23:35:49 2018 max relations containing the same ideal: 115
  87. Tue Dec 25 23:36:04 2018 removing 3092260 relations and 2348115 ideals in 744145 cliques
  88. Tue Dec 25 23:36:06 2018 commencing in-memory singleton removal
  89. Tue Dec 25 23:36:08 2018 begin with 35703739 relations and 37440024 unique ideals
  90. Tue Dec 25 23:36:24 2018 reduce to 35542356 relations and 34927787 ideals in 7 passes
  91. Tue Dec 25 23:36:24 2018 max relations containing the same ideal: 109
  92. Tue Dec 25 23:36:42 2018 relations with 0 large ideals: 19820
  93. Tue Dec 25 23:36:42 2018 relations with 1 large ideals: 6214
  94. Tue Dec 25 23:36:42 2018 relations with 2 large ideals: 78201
  95. Tue Dec 25 23:36:42 2018 relations with 3 large ideals: 590581
  96. Tue Dec 25 23:36:42 2018 relations with 4 large ideals: 2429693
  97. Tue Dec 25 23:36:42 2018 relations with 5 large ideals: 5951167
  98. Tue Dec 25 23:36:42 2018 relations with 6 large ideals: 9115640
  99. Tue Dec 25 23:36:42 2018 relations with 7+ large ideals: 17351040
  100. Tue Dec 25 23:36:42 2018 commencing 2-way merge
  101. Tue Dec 25 23:37:02 2018 reduce to 23421427 relation sets and 22806858 unique ideals
  102. Tue Dec 25 23:37:02 2018 commencing full merge
  103. Tue Dec 25 23:45:20 2018 memory use: 3002.9 MB
  104. Tue Dec 25 23:45:24 2018 found 10538957 cycles, need 10517058
  105. Tue Dec 25 23:45:25 2018 weight of 10517058 cycles is about 1262181215 (120.01/cycle)
  106. Tue Dec 25 23:45:25 2018 distribution of cycle lengths:
  107. Tue Dec 25 23:45:25 2018 1 relations: 403412
  108. Tue Dec 25 23:45:25 2018 2 relations: 606325
  109. Tue Dec 25 23:45:25 2018 3 relations: 737009
  110. Tue Dec 25 23:45:25 2018 4 relations: 775386
  111. Tue Dec 25 23:45:25 2018 5 relations: 803433
  112. Tue Dec 25 23:45:25 2018 6 relations: 791172
  113. Tue Dec 25 23:45:25 2018 7 relations: 774790
  114. Tue Dec 25 23:45:25 2018 8 relations: 736975
  115. Tue Dec 25 23:45:25 2018 9 relations: 693286
  116. Tue Dec 25 23:45:25 2018 10+ relations: 4195270
  117. Tue Dec 25 23:45:25 2018 heaviest cycle: 28 relations
  118. Tue Dec 25 23:45:29 2018 commencing cycle optimization
  119. Tue Dec 25 23:45:52 2018 start with 93353601 relations
  120. Tue Dec 25 23:49:48 2018 pruned 4230810 relations
  121. Tue Dec 25 23:49:48 2018 memory use: 2443.5 MB
  122. Tue Dec 25 23:49:48 2018 distribution of cycle lengths:
  123. Tue Dec 25 23:49:48 2018 1 relations: 403412
  124. Tue Dec 25 23:49:48 2018 2 relations: 621990
  125. Tue Dec 25 23:49:48 2018 3 relations: 769203
  126. Tue Dec 25 23:49:48 2018 4 relations: 808851
  127. Tue Dec 25 23:49:48 2018 5 relations: 843758
  128. Tue Dec 25 23:49:48 2018 6 relations: 829162
  129. Tue Dec 25 23:49:48 2018 7 relations: 813773
  130. Tue Dec 25 23:49:48 2018 8 relations: 771325
  131. Tue Dec 25 23:49:48 2018 9 relations: 723518
  132. Tue Dec 25 23:49:48 2018 10+ relations: 3932066
  133. Tue Dec 25 23:49:48 2018 heaviest cycle: 28 relations
  134. Tue Dec 25 23:50:12 2018 RelProcTime: 4739
  135. Tue Dec 25 23:50:12 2018
  136. Tue Dec 25 23:50:12 2018 commencing linear algebra
  137. Tue Dec 25 23:50:14 2018 read 10517058 cycles
  138. Tue Dec 25 23:50:36 2018 cycles contain 35192949 unique relations
  139. Tue Dec 25 23:54:42 2018 read 35192949 relations
  140. Tue Dec 25 23:55:53 2018 using 20 quadratic characters above 4294917295
  141. Tue Dec 25 23:57:56 2018 building initial matrix
  142. Wed Dec 26 00:03:54 2018 memory use: 4647.1 MB
  143. Wed Dec 26 00:04:03 2018 read 10517058 cycles
  144. Wed Dec 26 00:04:04 2018 matrix is 10516881 x 10517058 (4892.7 MB) with weight 1400582846 (133.17/col)
  145. Wed Dec 26 00:04:04 2018 sparse part has weight 1177431127 (111.95/col)
  146. Wed Dec 26 00:05:50 2018 filtering completed in 2 passes
  147. Wed Dec 26 00:05:52 2018 matrix is 10516773 x 10516950 (4892.7 MB) with weight 1400579001 (133.17/col)
  148. Wed Dec 26 00:05:52 2018 sparse part has weight 1177429692 (111.96/col)
  149. Wed Dec 26 00:06:26 2018 matrix starts at (0, 0)
  150. Wed Dec 26 00:06:27 2018 matrix is 10516773 x 10516950 (4892.7 MB) with weight 1400579001 (133.17/col)
  151. Wed Dec 26 00:06:27 2018 sparse part has weight 1177429692 (111.96/col)
  152. Wed Dec 26 00:06:27 2018 saving the first 48 matrix rows for later
  153. Wed Dec 26 00:06:29 2018 matrix includes 64 packed rows
  154. Wed Dec 26 00:06:30 2018 matrix is 10516725 x 10516950 (4709.3 MB) with weight 1198848695 (113.99/col)
  155. Wed Dec 26 00:06:30 2018 sparse part has weight 1129334495 (107.38/col)
  156. Wed Dec 26 00:06:30 2018 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  157. Wed Dec 26 00:07:21 2018 commencing Lanczos iteration (8 threads)
  158. Wed Dec 26 00:07:21 2018 memory use: 4003.7 MB
  159. Wed Dec 26 00:07:42 2018 linear algebra at 0.0%, ETA 38h29m
  160. Wed Dec 26 00:07:48 2018 checkpointing every 290000 dimensions
  161. Thu Dec 27 14:31:34 2018 lanczos halted after 166316 iterations (dim = 10516720)
  162. Thu Dec 27 14:31:44 2018 recovered 34 nontrivial dependencies
  163. Thu Dec 27 14:31:46 2018 BLanczosTime: 139294
  164. Thu Dec 27 14:31:46 2018
  165. Thu Dec 27 14:31:46 2018 commencing square root phase
  166. Thu Dec 27 14:31:47 2018 handling dependencies 1 to 64
  167. Thu Dec 27 14:31:47 2018 reading relations for dependency 1
  168. Thu Dec 27 14:31:49 2018 read 5257610 cycles
  169. Thu Dec 27 14:31:59 2018 cycles contain 17595366 unique relations
  170. Thu Dec 27 14:35:03 2018 read 17595366 relations
  171. Thu Dec 27 14:36:18 2018 multiplying 17595366 relations
  172. Thu Dec 27 14:48:46 2018 multiply complete, coefficients have about 604.57 million bits
  173. Thu Dec 27 14:48:47 2018 initial square root is modulo 265511
  174. Thu Dec 27 15:01:42 2018 GCD is 1, no factor found
  175. Thu Dec 27 15:01:42 2018 reading relations for dependency 2
  176. Thu Dec 27 15:01:44 2018 read 5260543 cycles
  177. Thu Dec 27 15:01:54 2018 cycles contain 17601302 unique relations
  178. Thu Dec 27 15:04:57 2018 read 17601302 relations
  179. Thu Dec 27 15:06:12 2018 multiplying 17601302 relations
  180. Thu Dec 27 15:18:43 2018 multiply complete, coefficients have about 604.78 million bits
  181. Thu Dec 27 15:18:44 2018 initial square root is modulo 266603
  182. Thu Dec 27 15:31:40 2018 sqrtTime: 3594
  183. Thu Dec 27 15:31:40 2018 p62 factor: 80459720761712533954865396668777277684482114892759716094416081
  184. Thu Dec 27 15:31:40 2018 p182 factor: 12428579052139325823363479161041331551680498285926935573958494295438771090914956058413598356292971555140000524019783154704407154804985574617962713060073816632546829645882158803401679
  185. Thu Dec 27 15:31:40 2018 elapsed time 41:00:30
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