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4p3_448

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Jan 14th, 2019
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  1. Mon Jan 14 08:30:24 2019
  2. Mon Jan 14 08:30:25 2019
  3. Mon Jan 14 08:30:26 2019 Msieve v. 1.53 (SVN 988M)
  4. Mon Jan 14 08:30:26 2019 random seeds: 2ec1aba0 f5003fec
  5. Mon Jan 14 08:30:26 2019 factoring 738500286347466954533976392098984441484874715870310977605887925948617125860576325401126586400479601647291189508343465880150910552823056785932660675541607857792053832377477650470290683957649947441248281256406969811906888961 (222 digits)
  6. Mon Jan 14 08:30:27 2019 searching for 15-digit factors
  7. Mon Jan 14 08:30:29 2019 commencing number field sieve (222-digit input)
  8. Mon Jan 14 08:30:29 2019 R0: 340282366920938463463374607431768211456
  9. Mon Jan 14 08:30:29 2019 R1: -3433683820292512484657849089281
  10. Mon Jan 14 08:30:29 2019 A0: 1
  11. Mon Jan 14 08:30:29 2019 A1: -1
  12. Mon Jan 14 08:30:29 2019 A2: 1
  13. Mon Jan 14 08:30:29 2019 A3: -1
  14. Mon Jan 14 08:30:29 2019 A4: 1
  15. Mon Jan 14 08:30:29 2019 A5: -1
  16. Mon Jan 14 08:30:29 2019 A6: 1
  17. Mon Jan 14 08:30:29 2019 skew 1.00, size 1.905e-11, alpha 2.428, combined = 1.020e-12 rroots = 0
  18. Mon Jan 14 08:30:29 2019
  19. Mon Jan 14 08:30:29 2019 commencing relation filtering
  20. Mon Jan 14 08:30:29 2019 setting target matrix density to 120.0
  21. Mon Jan 14 08:30:29 2019 estimated available RAM is 65536.0 MB
  22. Mon Jan 14 08:30:29 2019 commencing duplicate removal, pass 1
  23. Mon Jan 14 08:30:54 2019 error -9 reading relation 2610365
  24. [18095 more error lines]
  25. Mon Jan 14 08:47:54 2019 error -5 reading relation 122321152
  26. Mon Jan 14 08:47:57 2019 skipped 48 relations with b > 2^32
  27. Mon Jan 14 08:47:57 2019 skipped 8401 relations with composite factors
  28. Mon Jan 14 08:47:57 2019 found 22659346 hash collisions in 122599365 relations
  29. Mon Jan 14 08:48:06 2019 added 2438534 free relations
  30. Mon Jan 14 08:48:06 2019 commencing duplicate removal, pass 2
  31. Mon Jan 14 08:50:07 2019 found 21319772 duplicates and 103718127 unique relations
  32. Mon Jan 14 08:50:07 2019 memory use: 660.8 MB
  33. Mon Jan 14 08:50:07 2019 reading ideals above 720000
  34. Mon Jan 14 08:50:08 2019 commencing singleton removal, initial pass
  35. Mon Jan 14 09:04:25 2019 memory use: 2756.0 MB
  36. Mon Jan 14 09:04:25 2019 reading all ideals from disk
  37. Mon Jan 14 09:04:27 2019 memory use: 3928.5 MB
  38. Mon Jan 14 09:04:38 2019 keeping 91526649 ideals with weight <= 200, target excess is 534265
  39. Mon Jan 14 09:04:49 2019 commencing in-memory singleton removal
  40. Mon Jan 14 09:04:58 2019 begin with 103718127 relations and 91526649 unique ideals
  41. Mon Jan 14 09:06:28 2019 reduce to 70758145 relations and 55427569 ideals in 13 passes
  42. Mon Jan 14 09:06:28 2019 max relations containing the same ideal: 160
  43. Mon Jan 14 09:06:58 2019 removing 8329320 relations and 6329320 ideals in 2000000 cliques
  44. Mon Jan 14 09:07:01 2019 commencing in-memory singleton removal
  45. Mon Jan 14 09:07:07 2019 begin with 62428825 relations and 55427569 unique ideals
  46. Mon Jan 14 09:07:51 2019 reduce to 61604342 relations and 48245256 ideals in 8 passes
  47. Mon Jan 14 09:07:51 2019 max relations containing the same ideal: 150
  48. Mon Jan 14 09:08:18 2019 removing 6761378 relations and 4761378 ideals in 2000000 cliques
  49. Mon Jan 14 09:08:20 2019 commencing in-memory singleton removal
  50. Mon Jan 14 09:08:25 2019 begin with 54842964 relations and 48245256 unique ideals
  51. Mon Jan 14 09:09:03 2019 reduce to 54264466 relations and 42886547 ideals in 8 passes
  52. Mon Jan 14 09:09:03 2019 max relations containing the same ideal: 142
  53. Mon Jan 14 09:09:26 2019 removing 6273021 relations and 4273021 ideals in 2000000 cliques
  54. Mon Jan 14 09:09:28 2019 commencing in-memory singleton removal
  55. Mon Jan 14 09:09:32 2019 begin with 47991445 relations and 42886547 unique ideals
  56. Mon Jan 14 09:10:05 2019 reduce to 47462482 relations and 38066302 ideals in 8 passes
  57. Mon Jan 14 09:10:05 2019 max relations containing the same ideal: 128
  58. Mon Jan 14 09:10:25 2019 removing 6024625 relations and 4024625 ideals in 2000000 cliques
  59. Mon Jan 14 09:10:28 2019 commencing in-memory singleton removal
  60. Mon Jan 14 09:10:31 2019 begin with 41437857 relations and 38066302 unique ideals
  61. Mon Jan 14 09:10:55 2019 reduce to 40916903 relations and 33500955 ideals in 7 passes
  62. Mon Jan 14 09:10:55 2019 max relations containing the same ideal: 112
  63. Mon Jan 14 09:11:13 2019 removing 5869032 relations and 3869032 ideals in 2000000 cliques
  64. Mon Jan 14 09:11:15 2019 commencing in-memory singleton removal
  65. Mon Jan 14 09:11:17 2019 begin with 35047871 relations and 33500955 unique ideals
  66. Mon Jan 14 09:11:37 2019 reduce to 34507387 relations and 29068161 ideals in 7 passes
  67. Mon Jan 14 09:11:37 2019 max relations containing the same ideal: 101
  68. Mon Jan 14 09:11:52 2019 removing 5752549 relations and 3752549 ideals in 2000000 cliques
  69. Mon Jan 14 09:11:54 2019 commencing in-memory singleton removal
  70. Mon Jan 14 09:11:56 2019 begin with 28754838 relations and 29068161 unique ideals
  71. Mon Jan 14 09:12:12 2019 reduce to 28175077 relations and 24706596 ideals in 7 passes
  72. Mon Jan 14 09:12:12 2019 max relations containing the same ideal: 89
  73. Mon Jan 14 09:12:24 2019 removing 5648957 relations and 3648957 ideals in 2000000 cliques
  74. Mon Jan 14 09:12:26 2019 commencing in-memory singleton removal
  75. Mon Jan 14 09:12:27 2019 begin with 22526120 relations and 24706596 unique ideals
  76. Mon Jan 14 09:12:39 2019 reduce to 21865672 relations and 20356953 ideals in 7 passes
  77. Mon Jan 14 09:12:39 2019 max relations containing the same ideal: 77
  78. Mon Jan 14 09:12:49 2019 removing 2856903 relations and 1967932 ideals in 888971 cliques
  79. Mon Jan 14 09:12:50 2019 commencing in-memory singleton removal
  80. Mon Jan 14 09:12:51 2019 begin with 19008769 relations and 20356953 unique ideals
  81. Mon Jan 14 09:13:02 2019 reduce to 18742184 relations and 18112480 ideals in 8 passes
  82. Mon Jan 14 09:13:02 2019 max relations containing the same ideal: 70
  83. Mon Jan 14 09:13:10 2019 removing 60949 relations and 50993 ideals in 9956 cliques
  84. Mon Jan 14 09:13:11 2019 commencing in-memory singleton removal
  85. Mon Jan 14 09:13:12 2019 begin with 18681235 relations and 18112480 unique ideals
  86. Mon Jan 14 09:13:17 2019 reduce to 18681085 relations and 18061337 ideals in 4 passes
  87. Mon Jan 14 09:13:17 2019 max relations containing the same ideal: 70
  88. Mon Jan 14 09:13:20 2019 relations with 0 large ideals: 39687
  89. Mon Jan 14 09:13:20 2019 relations with 1 large ideals: 13174
  90. Mon Jan 14 09:13:20 2019 relations with 2 large ideals: 120608
  91. Mon Jan 14 09:13:20 2019 relations with 3 large ideals: 711500
  92. Mon Jan 14 09:13:20 2019 relations with 4 large ideals: 2262353
  93. Mon Jan 14 09:13:20 2019 relations with 5 large ideals: 4244598
  94. Mon Jan 14 09:13:20 2019 relations with 6 large ideals: 4925900
  95. Mon Jan 14 09:13:20 2019 relations with 7+ large ideals: 6363265
  96. Mon Jan 14 09:13:20 2019 commencing 2-way merge
  97. Mon Jan 14 09:13:31 2019 reduce to 12911493 relation sets and 12291745 unique ideals
  98. Mon Jan 14 09:13:32 2019 commencing full merge
  99. Mon Jan 14 09:18:57 2019 memory use: 1691.3 MB
  100. Mon Jan 14 09:19:01 2019 found 5792148 cycles, need 5771945
  101. Mon Jan 14 09:19:01 2019 weight of 5771945 cycles is about 692688250 (120.01/cycle)
  102. Mon Jan 14 09:19:01 2019 distribution of cycle lengths:
  103. Mon Jan 14 09:19:01 2019 1 relations: 174291
  104. Mon Jan 14 09:19:01 2019 2 relations: 284354
  105. Mon Jan 14 09:19:01 2019 3 relations: 367193
  106. Mon Jan 14 09:19:01 2019 4 relations: 399859
  107. Mon Jan 14 09:19:01 2019 5 relations: 422308
  108. Mon Jan 14 09:19:01 2019 6 relations: 427339
  109. Mon Jan 14 09:19:01 2019 7 relations: 423624
  110. Mon Jan 14 09:19:01 2019 8 relations: 408702
  111. Mon Jan 14 09:19:01 2019 9 relations: 387066
  112. Mon Jan 14 09:19:01 2019 10+ relations: 2477209
  113. Mon Jan 14 09:19:01 2019 heaviest cycle: 28 relations
  114. Mon Jan 14 09:19:03 2019 commencing cycle optimization
  115. Mon Jan 14 09:19:17 2019 start with 53996738 relations
  116. Mon Jan 14 09:21:50 2019 pruned 2887646 relations
  117. Mon Jan 14 09:21:52 2019 memory use: 1334.4 MB
  118. Mon Jan 14 09:21:52 2019 distribution of cycle lengths:
  119. Mon Jan 14 09:21:52 2019 1 relations: 174291
  120. Mon Jan 14 09:21:52 2019 2 relations: 291741
  121. Mon Jan 14 09:21:52 2019 3 relations: 383956
  122. Mon Jan 14 09:21:52 2019 4 relations: 418329
  123. Mon Jan 14 09:21:52 2019 5 relations: 447480
  124. Mon Jan 14 09:21:52 2019 6 relations: 452517
  125. Mon Jan 14 09:21:52 2019 7 relations: 451596
  126. Mon Jan 14 09:21:52 2019 8 relations: 433412
  127. Mon Jan 14 09:21:52 2019 9 relations: 409721
  128. Mon Jan 14 09:21:52 2019 10+ relations: 2308902
  129. Mon Jan 14 09:21:52 2019 heaviest cycle: 28 relations
  130. Mon Jan 14 09:22:09 2019 RelProcTime: 3100
  131. Mon Jan 14 09:22:09 2019
  132. Mon Jan 14 09:22:09 2019 commencing linear algebra
  133. Mon Jan 14 09:22:10 2019 read 5771945 cycles
  134. Mon Jan 14 09:22:23 2019 cycles contain 18393024 unique relations
  135. Mon Jan 14 09:25:20 2019 read 18393024 relations
  136. Mon Jan 14 09:25:56 2019 using 20 quadratic characters above 4294917295
  137. Mon Jan 14 09:27:09 2019 building initial matrix
  138. Mon Jan 14 09:30:48 2019 memory use: 2322.0 MB
  139. Mon Jan 14 09:30:54 2019 read 5771945 cycles
  140. Mon Jan 14 09:30:55 2019 matrix is 5771768 x 5771945 (2689.0 MB) with weight 764830408 (132.51/col)
  141. Mon Jan 14 09:30:55 2019 sparse part has weight 641425175 (111.13/col)
  142. Mon Jan 14 09:32:14 2019 filtering completed in 2 passes
  143. Mon Jan 14 09:32:15 2019 matrix is 5771696 x 5771873 (2689.0 MB) with weight 764827156 (132.51/col)
  144. Mon Jan 14 09:32:15 2019 sparse part has weight 641423543 (111.13/col)
  145. Mon Jan 14 09:33:35 2019 matrix starts at (0, 0)
  146. Mon Jan 14 09:33:35 2019 matrix is 5771696 x 5771873 (2689.0 MB) with weight 764827156 (132.51/col)
  147. Mon Jan 14 09:33:35 2019 sparse part has weight 641423543 (111.13/col)
  148. Mon Jan 14 09:33:35 2019 saving the first 48 matrix rows for later
  149. Mon Jan 14 09:33:36 2019 matrix includes 64 packed rows
  150. Mon Jan 14 09:33:37 2019 matrix is 5771648 x 5771873 (2572.3 MB) with weight 660145603 (114.37/col)
  151. Mon Jan 14 09:33:37 2019 sparse part has weight 616595057 (106.83/col)
  152. Mon Jan 14 09:33:37 2019 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  153. Mon Jan 14 09:34:13 2019 commencing Lanczos iteration (8 threads)
  154. Mon Jan 14 09:34:13 2019 memory use: 2177.6 MB
  155. Mon Jan 14 09:34:25 2019 linear algebra at 0.0%, ETA 12h41m
  156. Mon Jan 14 09:34:29 2019 checkpointing every 460000 dimensions
  157. Mon Jan 14 09:39:20 2019 lanczos halted after 631 iterations (dim = 39921)
  158. Mon Jan 14 09:39:21 2019 BLanczosTime: 1032
  159. Mon Jan 14 09:39:21 2019
  160. Mon Jan 14 09:39:21 2019 commencing square root phase
  161. Mon Jan 14 09:39:21 2019 handling dependencies 1 to 64
  162. Mon Jan 14 09:39:21 2019 reading relations for dependency 1
  163. Mon Jan 14 09:39:21 2019 error: read_cycles can't open dependency file
  164. Mon Jan 14 10:29:18 2019
  165. Mon Jan 14 10:29:18 2019
  166. Mon Jan 14 10:29:18 2019 Msieve v. 1.53 (SVN 988M)
  167. Mon Jan 14 10:29:18 2019 random seeds: 4bf99757 ac6ec5b4
  168. Mon Jan 14 10:29:18 2019 factoring 738500286347466954533976392098984441484874715870310977605887925948617125860576325401126586400479601647291189508343465880150910552823056785932660675541607857792053832377477650470290683957649947441248281256406969811906888961 (222 digits)
  169. Mon Jan 14 10:29:19 2019 searching for 15-digit factors
  170. Mon Jan 14 10:29:20 2019 commencing number field sieve (222-digit input)
  171. Mon Jan 14 10:29:20 2019 R0: 340282366920938463463374607431768211456
  172. Mon Jan 14 10:29:20 2019 R1: -3433683820292512484657849089281
  173. Mon Jan 14 10:29:20 2019 A0: 1
  174. Mon Jan 14 10:29:20 2019 A1: -1
  175. Mon Jan 14 10:29:20 2019 A2: 1
  176. Mon Jan 14 10:29:20 2019 A3: -1
  177. Mon Jan 14 10:29:20 2019 A4: 1
  178. Mon Jan 14 10:29:20 2019 A5: -1
  179. Mon Jan 14 10:29:20 2019 A6: 1
  180. Mon Jan 14 10:29:20 2019 skew 1.00, size 1.905e-11, alpha 2.428, combined = 1.020e-12 rroots = 0
  181. Mon Jan 14 10:29:20 2019
  182. Mon Jan 14 10:29:20 2019 commencing linear algebra
  183. Mon Jan 14 10:29:22 2019 matrix starts at (0, 0)
  184. Mon Jan 14 10:29:22 2019 matrix is 5771696 x 5771873 (2689.0 MB) with weight 764827156 (132.51/col)
  185. Mon Jan 14 10:29:22 2019 sparse part has weight 641423543 (111.13/col)
  186. Mon Jan 14 10:29:22 2019 saving the first 48 matrix rows for later
  187. Mon Jan 14 10:29:23 2019 matrix includes 64 packed rows
  188. Mon Jan 14 10:29:24 2019 matrix is 5771648 x 5771873 (2572.3 MB) with weight 660145603 (114.37/col)
  189. Mon Jan 14 10:29:24 2019 sparse part has weight 616595057 (106.83/col)
  190. Mon Jan 14 10:29:24 2019 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  191. Mon Jan 14 10:29:49 2019 commencing Lanczos iteration (8 threads)
  192. Mon Jan 14 10:29:49 2019 memory use: 2177.6 MB
  193. Mon Jan 14 10:29:49 2019 restarting at iteration 631 (dim = 39921)
  194. Mon Jan 14 10:29:59 2019 linear algebra at 0.7%, ETA 10h29m
  195. Mon Jan 14 10:30:02 2019 checkpointing every 580000 dimensions
  196. Mon Jan 14 20:23:25 2019 lanczos halted after 91274 iterations (dim = 5771645)
  197. Mon Jan 14 20:23:31 2019 recovered 36 nontrivial dependencies
  198. Mon Jan 14 20:23:32 2019 BLanczosTime: 35652
  199. Mon Jan 14 20:23:32 2019
  200. Mon Jan 14 20:23:32 2019 commencing square root phase
  201. Mon Jan 14 20:23:32 2019 reading relations for dependency 1
  202. Mon Jan 14 20:23:33 2019 read 2884066 cycles
  203. Mon Jan 14 20:23:39 2019 cycles contain 9194214 unique relations
  204. Mon Jan 14 20:25:18 2019 read 9194214 relations
  205. Mon Jan 14 20:25:54 2019 multiplying 9194214 relations
  206. Mon Jan 14 20:29:53 2019 multiply complete, coefficients have about 225.82 million bits
  207. Mon Jan 14 20:29:54 2019 initial square root is modulo 127075049
  208. Mon Jan 14 20:34:05 2019 sqrtTime: 633
  209. Mon Jan 14 20:34:05 2019 p77 factor: 19529594903471551029749057521990600435818381201702637481143279973392637079553
  210. Mon Jan 14 20:34:05 2019 p146 factor: 37814419090494922093904074074018644261172666226378736120569861360607602403848680621700049289577279290554370921154358150342501603634771666552673537
  211. Mon Jan 14 20:34:05 2019 elapsed time 10:04:47
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