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3p2_581

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Jul 26th, 2019
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  1. Fri Jul 26 08:45:03 2019
  2. Fri Jul 26 08:45:03 2019
  3. Fri Jul 26 08:45:03 2019 Msieve v. 1.53 (SVN 988M)
  4. Fri Jul 26 08:45:03 2019 random seeds: bae1fc9d bb41773a
  5. Fri Jul 26 08:45:03 2019 factoring 11927001890519235200002062993326955948078334693816506824837133100990465290940028039723035751516539494705194055809536028137444043735221255316116436735217313949 (158 digits)
  6. Fri Jul 26 08:45:04 2019 searching for 15-digit factors
  7. Fri Jul 26 08:45:04 2019 commencing number field sieve (158-digit input)
  8. Fri Jul 26 08:45:04 2019 R0: -903163936601126099182006985420
  9. Fri Jul 26 08:45:04 2019 R1: 109135088324854577
  10. Fri Jul 26 08:45:04 2019 A0: 494281994669464081946589338943872777
  11. Fri Jul 26 08:45:04 2019 A1: 4523262429386524640595752550783
  12. Fri Jul 26 08:45:04 2019 A2: 5215596191700169747910571
  13. Fri Jul 26 08:45:04 2019 A3: -33630228015415034983
  14. Fri Jul 26 08:45:04 2019 A4: -8319121320708
  15. Fri Jul 26 08:45:04 2019 A5: 19847160
  16. Fri Jul 26 08:45:04 2019 skew 687186.63, size 2.567e-15, alpha -6.502, combined = 1.989e-12 rroots = 3
  17. Fri Jul 26 08:45:04 2019
  18. Fri Jul 26 08:45:04 2019 commencing relation filtering
  19. Fri Jul 26 08:45:04 2019 setting target matrix density to 130.0
  20. Fri Jul 26 08:45:04 2019 estimated available RAM is 32768.0 MB
  21. Fri Jul 26 08:45:04 2019 commencing duplicate removal, pass 1
  22. Fri Jul 26 08:46:05 2019 error -11 reading relation 9591624
  23. Fri Jul 26 08:46:37 2019 error -5 reading relation 14916825
  24. Fri Jul 26 08:46:38 2019 error -1 reading relation 15028036
  25. Fri Jul 26 08:46:41 2019 error -15 reading relation 15554310
  26. Fri Jul 26 08:53:37 2019 error -15 reading relation 85592197
  27. Fri Jul 26 08:53:37 2019 error -11 reading relation 85598211
  28. Fri Jul 26 08:53:37 2019 error -15 reading relation 85600577
  29. Fri Jul 26 08:55:03 2019 error -15 reading relation 100041564
  30. Fri Jul 26 08:56:44 2019 error -15 reading relation 117016995
  31. Fri Jul 26 08:57:15 2019 skipped 5 relations with composite factors
  32. Fri Jul 26 08:57:15 2019 found 3353900 hash collisions in 122219175 relations
  33. Fri Jul 26 08:57:37 2019 added 122100 free relations
  34. Fri Jul 26 08:57:37 2019 commencing duplicate removal, pass 2
  35. Fri Jul 26 08:58:03 2019 found 0 duplicates and 122341275 unique relations
  36. Fri Jul 26 08:58:03 2019 memory use: 381.2 MB
  37. Fri Jul 26 08:58:03 2019 reading ideals above 720000
  38. Fri Jul 26 08:58:03 2019 commencing singleton removal, initial pass
  39. Fri Jul 26 09:09:25 2019 memory use: 2756.0 MB
  40. Fri Jul 26 09:09:25 2019 reading all ideals from disk
  41. Fri Jul 26 09:09:27 2019 memory use: 4533.6 MB
  42. Fri Jul 26 09:09:36 2019 keeping 94312547 ideals with weight <= 200, target excess is 641912
  43. Fri Jul 26 09:09:46 2019 commencing in-memory singleton removal
  44. Fri Jul 26 09:09:53 2019 begin with 122341275 relations and 94312547 unique ideals
  45. Fri Jul 26 09:11:01 2019 reduce to 93995494 relations and 63956654 ideals in 10 passes
  46. Fri Jul 26 09:11:01 2019 max relations containing the same ideal: 177
  47. Fri Jul 26 09:11:31 2019 removing 7249269 relations and 5249269 ideals in 2000000 cliques
  48. Fri Jul 26 09:11:33 2019 commencing in-memory singleton removal
  49. Fri Jul 26 09:11:38 2019 begin with 86746225 relations and 63956654 unique ideals
  50. Fri Jul 26 09:12:14 2019 reduce to 86283683 relations and 58232432 ideals in 6 passes
  51. Fri Jul 26 09:12:14 2019 max relations containing the same ideal: 171
  52. Fri Jul 26 09:12:41 2019 removing 5845758 relations and 3845758 ideals in 2000000 cliques
  53. Fri Jul 26 09:12:43 2019 commencing in-memory singleton removal
  54. Fri Jul 26 09:12:48 2019 begin with 80437925 relations and 58232432 unique ideals
  55. Fri Jul 26 09:13:21 2019 reduce to 80133170 relations and 54074736 ideals in 6 passes
  56. Fri Jul 26 09:13:21 2019 max relations containing the same ideal: 161
  57. Fri Jul 26 09:13:46 2019 removing 5479792 relations and 3479792 ideals in 2000000 cliques
  58. Fri Jul 26 09:13:48 2019 commencing in-memory singleton removal
  59. Fri Jul 26 09:13:52 2019 begin with 74653378 relations and 54074736 unique ideals
  60. Fri Jul 26 09:14:22 2019 reduce to 74394545 relations and 50329944 ideals in 6 passes
  61. Fri Jul 26 09:14:22 2019 max relations containing the same ideal: 155
  62. Fri Jul 26 09:14:46 2019 removing 5281604 relations and 3281604 ideals in 2000000 cliques
  63. Fri Jul 26 09:14:48 2019 commencing in-memory singleton removal
  64. Fri Jul 26 09:14:52 2019 begin with 69112941 relations and 50329944 unique ideals
  65. Fri Jul 26 09:15:24 2019 reduce to 68875897 relations and 46805558 ideals in 7 passes
  66. Fri Jul 26 09:15:24 2019 max relations containing the same ideal: 147
  67. Fri Jul 26 09:15:46 2019 removing 5154354 relations and 3154354 ideals in 2000000 cliques
  68. Fri Jul 26 09:15:48 2019 commencing in-memory singleton removal
  69. Fri Jul 26 09:15:52 2019 begin with 63721543 relations and 46805558 unique ideals
  70. Fri Jul 26 09:16:17 2019 reduce to 63494605 relations and 43418354 ideals in 6 passes
  71. Fri Jul 26 09:16:17 2019 max relations containing the same ideal: 137
  72. Fri Jul 26 09:16:37 2019 removing 5062056 relations and 3062056 ideals in 2000000 cliques
  73. Fri Jul 26 09:16:39 2019 commencing in-memory singleton removal
  74. Fri Jul 26 09:16:42 2019 begin with 58432549 relations and 43418354 unique ideals
  75. Fri Jul 26 09:17:01 2019 reduce to 58209224 relations and 40126938 ideals in 5 passes
  76. Fri Jul 26 09:17:01 2019 max relations containing the same ideal: 131
  77. Fri Jul 26 09:17:20 2019 removing 4991770 relations and 2991770 ideals in 2000000 cliques
  78. Fri Jul 26 09:17:22 2019 commencing in-memory singleton removal
  79. Fri Jul 26 09:17:25 2019 begin with 53217454 relations and 40126938 unique ideals
  80. Fri Jul 26 09:17:45 2019 reduce to 52991842 relations and 36903071 ideals in 6 passes
  81. Fri Jul 26 09:17:45 2019 max relations containing the same ideal: 124
  82. Fri Jul 26 09:18:03 2019 removing 4939282 relations and 2939282 ideals in 2000000 cliques
  83. Fri Jul 26 09:18:04 2019 commencing in-memory singleton removal
  84. Fri Jul 26 09:18:07 2019 begin with 48052560 relations and 36903071 unique ideals
  85. Fri Jul 26 09:18:26 2019 reduce to 47820376 relations and 33724439 ideals in 6 passes
  86. Fri Jul 26 09:18:26 2019 max relations containing the same ideal: 114
  87. Fri Jul 26 09:18:41 2019 removing 4896528 relations and 2896528 ideals in 2000000 cliques
  88. Fri Jul 26 09:18:42 2019 commencing in-memory singleton removal
  89. Fri Jul 26 09:18:45 2019 begin with 42923848 relations and 33724439 unique ideals
  90. Fri Jul 26 09:19:01 2019 reduce to 42678144 relations and 30573894 ideals in 6 passes
  91. Fri Jul 26 09:19:01 2019 max relations containing the same ideal: 107
  92. Fri Jul 26 09:19:15 2019 removing 4866723 relations and 2866723 ideals in 2000000 cliques
  93. Fri Jul 26 09:19:16 2019 commencing in-memory singleton removal
  94. Fri Jul 26 09:19:18 2019 begin with 37811421 relations and 30573894 unique ideals
  95. Fri Jul 26 09:19:33 2019 reduce to 37547475 relations and 27433584 ideals in 6 passes
  96. Fri Jul 26 09:19:33 2019 max relations containing the same ideal: 98
  97. Fri Jul 26 09:19:45 2019 removing 4845711 relations and 2845711 ideals in 2000000 cliques
  98. Fri Jul 26 09:19:46 2019 commencing in-memory singleton removal
  99. Fri Jul 26 09:19:48 2019 begin with 32701764 relations and 27433584 unique ideals
  100. Fri Jul 26 09:20:00 2019 reduce to 32410291 relations and 24284602 ideals in 6 passes
  101. Fri Jul 26 09:20:00 2019 max relations containing the same ideal: 89
  102. Fri Jul 26 09:20:10 2019 removing 4831865 relations and 2831865 ideals in 2000000 cliques
  103. Fri Jul 26 09:20:12 2019 commencing in-memory singleton removal
  104. Fri Jul 26 09:20:13 2019 begin with 27578426 relations and 24284602 unique ideals
  105. Fri Jul 26 09:20:23 2019 reduce to 27248145 relations and 21107046 ideals in 6 passes
  106. Fri Jul 26 09:20:23 2019 max relations containing the same ideal: 80
  107. Fri Jul 26 09:20:32 2019 removing 4825995 relations and 2825995 ideals in 2000000 cliques
  108. Fri Jul 26 09:20:33 2019 commencing in-memory singleton removal
  109. Fri Jul 26 09:20:34 2019 begin with 22422150 relations and 21107046 unique ideals
  110. Fri Jul 26 09:20:42 2019 reduce to 22035388 relations and 17873062 ideals in 6 passes
  111. Fri Jul 26 09:20:42 2019 max relations containing the same ideal: 69
  112. Fri Jul 26 09:20:49 2019 removing 4822947 relations and 2822947 ideals in 2000000 cliques
  113. Fri Jul 26 09:20:50 2019 commencing in-memory singleton removal
  114. Fri Jul 26 09:20:51 2019 begin with 17212441 relations and 17873062 unique ideals
  115. Fri Jul 26 09:20:58 2019 reduce to 16735058 relations and 14540626 ideals in 7 passes
  116. Fri Jul 26 09:20:58 2019 max relations containing the same ideal: 57
  117. Fri Jul 26 09:21:04 2019 removing 3626238 relations and 2176424 ideals in 1449814 cliques
  118. Fri Jul 26 09:21:05 2019 commencing in-memory singleton removal
  119. Fri Jul 26 09:21:05 2019 begin with 13108820 relations and 14540626 unique ideals
  120. Fri Jul 26 09:21:10 2019 reduce to 12649062 relations and 11871694 ideals in 7 passes
  121. Fri Jul 26 09:21:10 2019 max relations containing the same ideal: 49
  122. Fri Jul 26 09:21:14 2019 removing 161990 relations and 129240 ideals in 32750 cliques
  123. Fri Jul 26 09:21:15 2019 commencing in-memory singleton removal
  124. Fri Jul 26 09:21:15 2019 begin with 12487072 relations and 11871694 unique ideals
  125. Fri Jul 26 09:21:20 2019 reduce to 12484762 relations and 11740135 ideals in 6 passes
  126. Fri Jul 26 09:21:20 2019 max relations containing the same ideal: 48
  127. Fri Jul 26 09:21:21 2019 relations with 0 large ideals: 2060
  128. Fri Jul 26 09:21:21 2019 relations with 1 large ideals: 23914
  129. Fri Jul 26 09:21:21 2019 relations with 2 large ideals: 266878
  130. Fri Jul 26 09:21:21 2019 relations with 3 large ideals: 1184664
  131. Fri Jul 26 09:21:21 2019 relations with 4 large ideals: 2669222
  132. Fri Jul 26 09:21:21 2019 relations with 5 large ideals: 3483408
  133. Fri Jul 26 09:21:21 2019 relations with 6 large ideals: 2833983
  134. Fri Jul 26 09:21:21 2019 relations with 7+ large ideals: 2020633
  135. Fri Jul 26 09:21:21 2019 commencing 2-way merge
  136. Fri Jul 26 09:21:27 2019 reduce to 8991551 relation sets and 8246924 unique ideals
  137. Fri Jul 26 09:21:27 2019 commencing full merge
  138. Fri Jul 26 09:23:55 2019 memory use: 1006.8 MB
  139. Fri Jul 26 09:23:57 2019 found 3868402 cycles, need 3829124
  140. Fri Jul 26 09:23:57 2019 weight of 3829124 cycles is about 498096287 (130.08/cycle)
  141. Fri Jul 26 09:23:57 2019 distribution of cycle lengths:
  142. Fri Jul 26 09:23:57 2019 1 relations: 51434
  143. Fri Jul 26 09:23:57 2019 2 relations: 163941
  144. Fri Jul 26 09:23:57 2019 3 relations: 231735
  145. Fri Jul 26 09:23:57 2019 4 relations: 265874
  146. Fri Jul 26 09:23:57 2019 5 relations: 295923
  147. Fri Jul 26 09:23:57 2019 6 relations: 302986
  148. Fri Jul 26 09:23:57 2019 7 relations: 302741
  149. Fri Jul 26 09:23:57 2019 8 relations: 287590
  150. Fri Jul 26 09:23:57 2019 9 relations: 269850
  151. Fri Jul 26 09:23:57 2019 10+ relations: 1657050
  152. Fri Jul 26 09:23:57 2019 heaviest cycle: 28 relations
  153. Fri Jul 26 09:23:58 2019 commencing cycle optimization
  154. Fri Jul 26 09:24:06 2019 start with 36436845 relations
  155. Fri Jul 26 09:25:36 2019 pruned 2342692 relations
  156. Fri Jul 26 09:25:36 2019 memory use: 888.0 MB
  157. Fri Jul 26 09:25:36 2019 distribution of cycle lengths:
  158. Fri Jul 26 09:25:36 2019 1 relations: 51434
  159. Fri Jul 26 09:25:36 2019 2 relations: 169794
  160. Fri Jul 26 09:25:36 2019 3 relations: 244890
  161. Fri Jul 26 09:25:36 2019 4 relations: 282880
  162. Fri Jul 26 09:25:36 2019 5 relations: 318918
  163. Fri Jul 26 09:25:36 2019 6 relations: 326703
  164. Fri Jul 26 09:25:36 2019 7 relations: 327997
  165. Fri Jul 26 09:25:36 2019 8 relations: 309812
  166. Fri Jul 26 09:25:36 2019 9 relations: 288059
  167. Fri Jul 26 09:25:36 2019 10+ relations: 1508637
  168. Fri Jul 26 09:25:36 2019 heaviest cycle: 28 relations
  169. Fri Jul 26 09:25:44 2019 RelProcTime: 2440
  170. Fri Jul 26 09:25:44 2019
  171. Fri Jul 26 09:25:44 2019 commencing linear algebra
  172. Fri Jul 26 09:25:45 2019 read 3829124 cycles
  173. Fri Jul 26 09:25:53 2019 cycles contain 12167629 unique relations
  174. Fri Jul 26 09:26:43 2019 read 12167629 relations
  175. Fri Jul 26 09:27:04 2019 using 20 quadratic characters above 4294917295
  176. Fri Jul 26 09:27:47 2019 building initial matrix
  177. Fri Jul 26 09:30:01 2019 memory use: 1697.6 MB
  178. Fri Jul 26 09:30:04 2019 read 3829124 cycles
  179. Fri Jul 26 09:30:04 2019 matrix is 3828946 x 3829124 (1878.1 MB) with weight 577075331 (150.71/col)
  180. Fri Jul 26 09:30:04 2019 sparse part has weight 450215491 (117.58/col)
  181. Fri Jul 26 09:30:48 2019 filtering completed in 2 passes
  182. Fri Jul 26 09:30:49 2019 matrix is 3828821 x 3828999 (1878.1 MB) with weight 577067764 (150.71/col)
  183. Fri Jul 26 09:30:49 2019 sparse part has weight 450212200 (117.58/col)
  184. Fri Jul 26 09:31:00 2019 matrix starts at (0, 0)
  185. Fri Jul 26 09:31:01 2019 matrix is 3828821 x 3828999 (1878.1 MB) with weight 577067764 (150.71/col)
  186. Fri Jul 26 09:31:01 2019 sparse part has weight 450212200 (117.58/col)
  187. Fri Jul 26 09:31:01 2019 saving the first 48 matrix rows for later
  188. Fri Jul 26 09:31:01 2019 matrix includes 64 packed rows
  189. Fri Jul 26 09:31:02 2019 matrix is 3828773 x 3828999 (1833.4 MB) with weight 494319125 (129.10/col)
  190. Fri Jul 26 09:31:02 2019 sparse part has weight 442327018 (115.52/col)
  191. Fri Jul 26 09:31:02 2019 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  192. Fri Jul 26 09:31:20 2019 commencing Lanczos iteration (8 threads)
  193. Fri Jul 26 09:31:20 2019 memory use: 1524.5 MB
  194. Fri Jul 26 09:31:26 2019 linear algebra at 0.0%, ETA 4h11m
  195. Fri Jul 26 09:31:28 2019 checkpointing every 920000 dimensions
  196. Fri Jul 26 13:54:26 2019 lanczos halted after 60548 iterations (dim = 3828773)
  197. Fri Jul 26 13:54:29 2019 recovered 32 nontrivial dependencies
  198. Fri Jul 26 13:54:30 2019 BLanczosTime: 16126
  199. Fri Jul 26 13:54:30 2019
  200. Fri Jul 26 13:54:30 2019 commencing square root phase
  201. Fri Jul 26 13:54:30 2019 handling dependencies 1 to 64
  202. Fri Jul 26 13:54:30 2019 reading relations for dependency 1
  203. Fri Jul 26 13:54:31 2019 read 1915677 cycles
  204. Fri Jul 26 13:54:34 2019 cycles contain 6084944 unique relations
  205. Fri Jul 26 13:55:02 2019 read 6084944 relations
  206. Fri Jul 26 13:55:26 2019 multiplying 6084944 relations
  207. Fri Jul 26 14:00:11 2019 multiply complete, coefficients have about 357.25 million bits
  208. Fri Jul 26 14:00:13 2019 initial square root is modulo 2572153
  209. Fri Jul 26 14:05:57 2019 sqrtTime: 687
  210. Fri Jul 26 14:05:57 2019 p65 factor: 12669717645996954404843361978871049630931153896855413051526756429
  211. Fri Jul 26 14:05:57 2019 p93 factor: 941378665552788930581857809054065501846616232826869656402255933045545701518978303813838100881
  212. Fri Jul 26 14:05:57 2019 elapsed time 05:20:54
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