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31337_53m1

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Feb 7th, 2019
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  1. Fri Jan 25 03:12:35 2019
  2. Fri Jan 25 03:12:35 2019
  3. Fri Jan 25 03:12:35 2019 Msieve v. 1.54 (SVN 1025)
  4. Fri Jan 25 03:12:35 2019 random seeds: 6fd54da0 e9178176
  5. Fri Jan 25 03:12:35 2019 factoring 623734224136824708451763465078371941500023552337075909848661733166010151842848491582271115191650755905130467717029200245169749104090168029571016932372575403618094565455991187808232026450839310291023827504738037488431602311721815229061 (234 digits)
  6. Fri Jan 25 03:12:36 2019 searching for 15-digit factors
  7. Fri Jan 25 03:12:37 2019 commencing number field sieve (234-digit input)
  8. Fri Jan 25 03:12:37 2019 R0: 29141825841170357491007445382273277060777
  9. Fri Jan 25 03:12:37 2019 R1: -1
  10. Fri Jan 25 03:12:37 2019 A0: -31337
  11. Fri Jan 25 03:12:37 2019 A1: 0
  12. Fri Jan 25 03:12:37 2019 A2: 0
  13. Fri Jan 25 03:12:37 2019 A3: 0
  14. Fri Jan 25 03:12:37 2019 A4: 0
  15. Fri Jan 25 03:12:37 2019 A5: 0
  16. Fri Jan 25 03:12:37 2019 A6: 1
  17. Fri Jan 25 03:12:37 2019 skew 5.62, size 1.333e-12, alpha 3.398, combined = 1.522e-13 rroots = 2
  18. Fri Jan 25 03:12:37 2019
  19. Fri Jan 25 03:12:37 2019 commencing relation filtering
  20. Fri Jan 25 03:12:37 2019 setting target matrix density to 112.0
  21. Fri Jan 25 03:12:37 2019 estimated available RAM is 16007.4 MB
  22. Fri Jan 25 03:12:37 2019 commencing duplicate removal, pass 1
  23. Fri Jan 25 03:16:30 2019 error -15 reading relation 34678711
  24. Fri Jan 25 03:19:19 2019 error -15 reading relation 59759593
  25. Fri Jan 25 03:19:19 2019 error -11 reading relation 59759615
  26. Fri Jan 25 03:19:19 2019 error -11 reading relation 59761425
  27. Fri Jan 25 03:19:30 2019 error -11 reading relation 61466924
  28. Fri Jan 25 03:19:30 2019 error -1 reading relation 61468322
  29. Fri Jan 25 03:23:42 2019 error -1 reading relation 98693213
  30. Fri Jan 25 03:26:15 2019 error -11 reading relation 121323243
  31. Fri Jan 25 03:29:09 2019 error -6 reading relation 146845365
  32. Fri Jan 25 03:30:29 2019 error -1 reading relation 158676251
  33. Fri Jan 25 03:33:17 2019 error -5 reading relation 183159780
  34. Fri Jan 25 03:33:20 2019 error -11 reading relation 183706678
  35. Fri Jan 25 03:33:37 2019 skipped 9 relations with b > 2^32
  36. Fri Jan 25 03:33:37 2019 skipped 5 relations with composite factors
  37. Fri Jan 25 03:33:37 2019 found 7540528 hash collisions in 185137153 relations
  38. Fri Jan 25 03:33:48 2019 commencing duplicate removal, pass 2
  39. Fri Jan 25 03:34:41 2019 found 0 duplicates and 185137153 unique relations
  40. Fri Jan 25 03:34:41 2019 memory use: 522.4 MB
  41. Fri Jan 25 03:34:41 2019 reading ideals above 119996416
  42. Fri Jan 25 03:34:41 2019 commencing singleton removal, initial pass
  43. Fri Jan 25 03:50:51 2019 memory use: 5512.0 MB
  44. Fri Jan 25 03:50:51 2019 reading all ideals from disk
  45. Fri Jan 25 03:50:59 2019 memory use: 3882.1 MB
  46. Fri Jan 25 03:51:07 2019 commencing in-memory singleton removal
  47. Fri Jan 25 03:51:14 2019 begin with 185137153 relations and 165653110 unique ideals
  48. Fri Jan 25 03:52:55 2019 reduce to 119268479 relations and 93115669 ideals in 16 passes
  49. Fri Jan 25 03:52:55 2019 max relations containing the same ideal: 34
  50. Fri Jan 25 03:53:01 2019 reading ideals above 720000
  51. Fri Jan 25 03:53:01 2019 commencing singleton removal, initial pass
  52. Fri Jan 25 04:06:17 2019 memory use: 2756.0 MB
  53. Fri Jan 25 04:06:17 2019 reading all ideals from disk
  54. Fri Jan 25 04:06:30 2019 memory use: 4829.2 MB
  55. Fri Jan 25 04:06:41 2019 keeping 106190294 ideals with weight <= 200, target excess is 608589
  56. Fri Jan 25 04:06:54 2019 commencing in-memory singleton removal
  57. Fri Jan 25 04:07:04 2019 begin with 119268479 relations and 106190294 unique ideals
  58. Fri Jan 25 04:07:45 2019 reduce to 119268370 relations and 106190185 ideals in 4 passes
  59. Fri Jan 25 04:07:45 2019 max relations containing the same ideal: 200
  60. Fri Jan 25 04:08:34 2019 removing 11938939 relations and 9938939 ideals in 2000000 cliques
  61. Fri Jan 25 04:08:37 2019 commencing in-memory singleton removal
  62. Fri Jan 25 04:08:46 2019 begin with 107329431 relations and 106190185 unique ideals
  63. Fri Jan 25 04:10:10 2019 reduce to 106345171 relations and 95244674 ideals in 9 passes
  64. Fri Jan 25 04:10:10 2019 max relations containing the same ideal: 193
  65. Fri Jan 25 04:10:54 2019 removing 9157715 relations and 7157715 ideals in 2000000 cliques
  66. Fri Jan 25 04:10:57 2019 commencing in-memory singleton removal
  67. Fri Jan 25 04:11:05 2019 begin with 97187456 relations and 95244674 unique ideals
  68. Fri Jan 25 04:12:09 2019 reduce to 96536179 relations and 87422988 ideals in 8 passes
  69. Fri Jan 25 04:12:09 2019 max relations containing the same ideal: 185
  70. Fri Jan 25 04:12:49 2019 removing 8302357 relations and 6302357 ideals in 2000000 cliques
  71. Fri Jan 25 04:12:51 2019 commencing in-memory singleton removal
  72. Fri Jan 25 04:12:58 2019 begin with 88233822 relations and 87422988 unique ideals
  73. Fri Jan 25 04:13:57 2019 reduce to 87648170 relations and 80523145 ideals in 8 passes
  74. Fri Jan 25 04:13:57 2019 max relations containing the same ideal: 172
  75. Fri Jan 25 04:14:33 2019 removing 7873700 relations and 5873700 ideals in 2000000 cliques
  76. Fri Jan 25 04:14:35 2019 commencing in-memory singleton removal
  77. Fri Jan 25 04:14:41 2019 begin with 79774470 relations and 80523145 unique ideals
  78. Fri Jan 25 04:15:40 2019 reduce to 79202804 relations and 74065722 ideals in 9 passes
  79. Fri Jan 25 04:15:40 2019 max relations containing the same ideal: 161
  80. Fri Jan 25 04:16:13 2019 removing 7623526 relations and 5623526 ideals in 2000000 cliques
  81. Fri Jan 25 04:16:15 2019 commencing in-memory singleton removal
  82. Fri Jan 25 04:16:21 2019 begin with 71579278 relations and 74065722 unique ideals
  83. Fri Jan 25 04:17:08 2019 reduce to 70992097 relations and 67841523 ideals in 8 passes
  84. Fri Jan 25 04:17:08 2019 max relations containing the same ideal: 150
  85. Fri Jan 25 04:17:37 2019 removing 7482952 relations and 5482952 ideals in 2000000 cliques
  86. Fri Jan 25 04:17:39 2019 commencing in-memory singleton removal
  87. Fri Jan 25 04:17:44 2019 begin with 63509145 relations and 67841523 unique ideals
  88. Fri Jan 25 04:18:25 2019 reduce to 62872482 relations and 61705952 ideals in 8 passes
  89. Fri Jan 25 04:18:25 2019 max relations containing the same ideal: 139
  90. Fri Jan 25 04:18:52 2019 removing 2296740 relations and 1836174 ideals in 460566 cliques
  91. Fri Jan 25 04:18:53 2019 commencing in-memory singleton removal
  92. Fri Jan 25 04:18:58 2019 begin with 60575742 relations and 61705952 unique ideals
  93. Fri Jan 25 04:19:27 2019 reduce to 60515543 relations and 59809138 ideals in 6 passes
  94. Fri Jan 25 04:19:27 2019 max relations containing the same ideal: 135
  95. Fri Jan 25 04:20:01 2019 relations with 0 large ideals: 23425
  96. Fri Jan 25 04:20:01 2019 relations with 1 large ideals: 4737
  97. Fri Jan 25 04:20:01 2019 relations with 2 large ideals: 67752
  98. Fri Jan 25 04:20:01 2019 relations with 3 large ideals: 567996
  99. Fri Jan 25 04:20:01 2019 relations with 4 large ideals: 2677084
  100. Fri Jan 25 04:20:01 2019 relations with 5 large ideals: 7679807
  101. Fri Jan 25 04:20:01 2019 relations with 6 large ideals: 13932063
  102. Fri Jan 25 04:20:01 2019 relations with 7+ large ideals: 35562679
  103. Fri Jan 25 04:20:01 2019 commencing 2-way merge
  104. Fri Jan 25 04:20:37 2019 reduce to 41222924 relation sets and 40516519 unique ideals
  105. Fri Jan 25 04:20:37 2019 commencing full merge
  106. Fri Jan 25 04:35:16 2019 memory use: 5080.9 MB
  107. Fri Jan 25 04:35:20 2019 found 18472940 cycles, need 18464719
  108. Fri Jan 25 04:35:25 2019 weight of 18464719 cycles is about 2068765685 (112.04/cycle)
  109. Fri Jan 25 04:35:25 2019 distribution of cycle lengths:
  110. Fri Jan 25 04:35:25 2019 1 relations: 967936
  111. Fri Jan 25 04:35:25 2019 2 relations: 1299866
  112. Fri Jan 25 04:35:25 2019 3 relations: 1481995
  113. Fri Jan 25 04:35:25 2019 4 relations: 1478164
  114. Fri Jan 25 04:35:25 2019 5 relations: 1452189
  115. Fri Jan 25 04:35:25 2019 6 relations: 1388884
  116. Fri Jan 25 04:35:25 2019 7 relations: 1306194
  117. Fri Jan 25 04:35:25 2019 8 relations: 1221241
  118. Fri Jan 25 04:35:25 2019 9 relations: 1126484
  119. Fri Jan 25 04:35:25 2019 10+ relations: 6741766
  120. Fri Jan 25 04:35:25 2019 heaviest cycle: 28 relations
  121. Fri Jan 25 04:35:30 2019 commencing cycle optimization
  122. Fri Jan 25 04:36:00 2019 start with 155529675 relations
  123. Fri Jan 25 04:41:33 2019 pruned 6783712 relations
  124. Fri Jan 25 04:41:33 2019 memory use: 4127.0 MB
  125. Fri Jan 25 04:41:33 2019 distribution of cycle lengths:
  126. Fri Jan 25 04:41:33 2019 1 relations: 967936
  127. Fri Jan 25 04:41:33 2019 2 relations: 1334692
  128. Fri Jan 25 04:41:33 2019 3 relations: 1549162
  129. Fri Jan 25 04:41:33 2019 4 relations: 1540651
  130. Fri Jan 25 04:41:33 2019 5 relations: 1521972
  131. Fri Jan 25 04:41:33 2019 6 relations: 1447178
  132. Fri Jan 25 04:41:33 2019 7 relations: 1364342
  133. Fri Jan 25 04:41:33 2019 8 relations: 1265890
  134. Fri Jan 25 04:41:33 2019 9 relations: 1163148
  135. Fri Jan 25 04:41:33 2019 10+ relations: 6309748
  136. Fri Jan 25 04:41:33 2019 heaviest cycle: 28 relations
  137. Fri Jan 25 04:42:08 2019 RelProcTime: 5371
  138. Fri Jan 25 04:42:08 2019
  139. Fri Jan 25 04:42:08 2019 commencing linear algebra
  140. Fri Jan 25 04:42:11 2019 read 18464719 cycles
  141. Fri Jan 25 04:42:44 2019 cycles contain 60125936 unique relations
  142. Fri Jan 25 04:47:15 2019 read 60125936 relations
  143. Fri Jan 25 04:48:49 2019 using 20 quadratic characters above 4294917295
  144. Fri Jan 25 04:52:36 2019 building initial matrix
  145. Fri Jan 25 05:02:29 2019 memory use: 7320.8 MB
  146. Fri Jan 25 05:02:39 2019 read 18464719 cycles
  147. Fri Jan 25 05:02:41 2019 matrix is 18464542 x 18464719 (8102.5 MB) with weight 2278000874 (123.37/col)
  148. Fri Jan 25 05:02:41 2019 sparse part has weight 1939379944 (105.03/col)
  149. Fri Jan 25 05:06:23 2019 filtering completed in 2 passes
  150. Fri Jan 25 05:06:26 2019 matrix is 18464422 x 18464599 (8102.5 MB) with weight 2277997798 (123.37/col)
  151. Fri Jan 25 05:06:26 2019 sparse part has weight 1939379178 (105.03/col)
  152. Fri Jan 25 05:07:34 2019 matrix starts at (0, 0)
  153. Fri Jan 25 05:07:36 2019 matrix is 18464422 x 18464599 (8102.5 MB) with weight 2277997798 (123.37/col)
  154. Fri Jan 25 05:07:36 2019 sparse part has weight 1939379178 (105.03/col)
  155. Fri Jan 25 05:07:36 2019 saving the first 48 matrix rows for later
  156. Fri Jan 25 05:07:39 2019 matrix includes 64 packed rows
  157. Fri Jan 25 05:07:41 2019 matrix is 18464374 x 18464599 (7771.9 MB) with weight 1951654617 (105.70/col)
  158. Fri Jan 25 05:07:41 2019 sparse part has weight 1852718729 (100.34/col)
  159. Fri Jan 25 05:07:41 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  160. Fri Jan 25 05:08:42 2019 commencing Lanczos iteration (4 threads)
  161. Fri Jan 25 05:08:42 2019 memory use: 7598.6 MB
  162. Fri Jan 25 05:10:26 2019 linear algebra at 0.0%, ETA 338h58m
  163. Fri Jan 25 05:11:00 2019 checkpointing every 60000 dimensions
  164. Wed Feb 6 01:41:14 2019 lanczos halted after 292004 iterations (dim = 18464371)
  165. Wed Feb 6 01:41:42 2019 recovered 34 nontrivial dependencies
  166. Wed Feb 6 01:41:43 2019 BLanczosTime: 1025975
  167. Wed Feb 6 01:41:43 2019
  168. Wed Feb 6 01:41:43 2019 commencing square root phase
  169. Wed Feb 6 01:41:43 2019 handling dependencies 1 to 64
  170. Wed Feb 6 01:41:43 2019 reading relations for dependency 1
  171. Wed Feb 6 01:41:45 2019 read 9233671 cycles
  172. Wed Feb 6 01:41:59 2019 cycles contain 30070558 unique relations
  173. Wed Feb 6 01:44:23 2019 read 30070558 relations
  174. Wed Feb 6 01:46:10 2019 multiplying 30070558 relations
  175. Wed Feb 6 02:06:34 2019 multiply complete, coefficients have about 798.36 million bits
  176. Wed Feb 6 02:06:37 2019 initial square root is modulo 14537359
  177. Wed Feb 6 02:28:13 2019 found factor: 177054172670926789849518852199914401881260565329611884965321407
  178. Wed Feb 6 02:28:13 2019 reading relations for dependency 2
  179. Wed Feb 6 02:28:15 2019 read 9230461 cycles
  180. Wed Feb 6 02:28:29 2019 cycles contain 30063580 unique relations
  181. Wed Feb 6 02:30:53 2019 read 30063580 relations
  182. Wed Feb 6 02:32:40 2019 multiplying 30063580 relations
  183. Wed Feb 6 02:53:07 2019 multiply complete, coefficients have about 798.16 million bits
  184. Wed Feb 6 02:53:10 2019 initial square root is modulo 14478943
  185. Wed Feb 6 03:14:34 2019 sqrtTime: 5571
  186. Wed Feb 6 03:14:34 2019 p63 factor: 177054172670926789849518852199914401881260565329611884965321407
  187. Wed Feb 6 03:14:34 2019 p79 factor: 1017200330768552005650281308561296552258523621547520716116953252853469483049281
  188. Wed Feb 6 03:14:34 2019 p94 factor: 3463274500672358711282731943437491436067394891456514257926768700380981241552707604156623973883
  189. Wed Feb 6 03:14:34 2019 elapsed time 288:01:59
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