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Msieve log of 599__491_11m1

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Jun 7th, 2021
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  1. Mon Jun 07 07:20:00 2021
  2. Mon Jun 07 07:20:00 2021
  3. Mon Jun 07 07:20:00 2021 Msieve v. 1.53 (SVN 988)
  4. Mon Jun 07 07:20:00 2021 random seeds: e2f75660 9b37944a
  5. Mon Jun 07 07:20:00 2021 factoring 543389303234387149437590176164409628320977054841188604213191590057985519558531776667194455006929514529370135639353378567989392909642884794592417577256162083268829281215662395875797707 (183 digits)
  6. Mon Jun 07 07:20:01 2021 searching for 15-digit factors
  7. Mon Jun 07 07:20:01 2021 commencing number field sieve (183-digit input)
  8. Mon Jun 07 07:20:01 2021 R0: 35898533711791137077857597699729812322939082
  9. Mon Jun 07 07:20:01 2021 R1: -5991538509580918739491
  10. Mon Jun 07 07:20:01 2021 A0: 1
  11. Mon Jun 07 07:20:01 2021 A1: 3
  12. Mon Jun 07 07:20:01 2021 A2: -3
  13. Mon Jun 07 07:20:01 2021 A3: -4
  14. Mon Jun 07 07:20:01 2021 A4: 1
  15. Mon Jun 07 07:20:01 2021 A5: 1
  16. Mon Jun 07 07:20:01 2021 skew 1.00, size 7.711e-015, alpha 2.379, combined = 3.570e-012 rroots = 5
  17. Mon Jun 07 07:20:01 2021
  18. Mon Jun 07 07:20:01 2021 commencing relation filtering
  19. Mon Jun 07 07:20:01 2021 setting target matrix density to 100.0
  20. Mon Jun 07 07:20:01 2021 estimated available RAM is 16151.1 MB
  21. Mon Jun 07 07:20:01 2021 commencing duplicate removal, pass 1
  22. Mon Jun 07 07:22:18 2021 error -9 reading relation 16863402
  23. Mon Jun 07 07:23:49 2021 error -1 reading relation 28400143
  24. Mon Jun 07 07:23:54 2021 error -9 reading relation 29083790
  25. Mon Jun 07 07:23:54 2021 error -15 reading relation 29093845
  26. Mon Jun 07 07:24:54 2021 error -15 reading relation 36438721
  27. Mon Jun 07 07:24:57 2021 error -1 reading relation 36729032
  28. Mon Jun 07 07:25:00 2021 error -5 reading relation 37126095
  29. Mon Jun 07 07:25:03 2021 error -9 reading relation 37395410
  30. Mon Jun 07 07:25:03 2021 error -5 reading relation 37405613
  31. Mon Jun 07 07:25:21 2021 error -9 reading relation 39433911
  32. Mon Jun 07 07:26:37 2021 error -9 reading relation 48235549
  33. Mon Jun 07 07:27:13 2021 error -9 reading relation 52229755
  34. Mon Jun 07 07:27:22 2021 error -9 reading relation 53299235
  35. Mon Jun 07 07:27:37 2021 error -9 reading relation 55126154
  36. Mon Jun 07 07:28:13 2021 error -15 reading relation 59528037
  37. Mon Jun 07 07:28:27 2021 error -9 reading relation 61058606
  38. Mon Jun 07 07:28:52 2021 error -9 reading relation 63995833
  39. Mon Jun 07 07:28:52 2021 error -9 reading relation 63997302
  40. Mon Jun 07 07:28:52 2021 error -9 reading relation 64025488
  41. Mon Jun 07 07:28:53 2021 error -9 reading relation 64193418
  42. Mon Jun 07 07:29:04 2021 error -15 reading relation 65547737
  43. Mon Jun 07 07:29:15 2021 error -9 reading relation 66754730
  44. Mon Jun 07 07:29:17 2021 skipped 6 relations with b > 2^32
  45. Mon Jun 07 07:29:17 2021 skipped 11 relations with composite factors
  46. Mon Jun 07 07:29:17 2021 found 10527674 hash collisions in 66960576 relations
  47. Mon Jun 07 07:29:26 2021 added 2926294 free relations
  48. Mon Jun 07 07:29:26 2021 commencing duplicate removal, pass 2
  49. Mon Jun 07 07:30:15 2021 found 10222568 duplicates and 59664302 unique relations
  50. Mon Jun 07 07:30:15 2021 memory use: 394.4 MB
  51. Mon Jun 07 07:30:15 2021 reading ideals above 720000
  52. Mon Jun 07 07:30:15 2021 commencing singleton removal, initial pass
  53. Mon Jun 07 07:39:28 2021 memory use: 1378.0 MB
  54. Mon Jun 07 07:39:28 2021 reading all ideals from disk
  55. Mon Jun 07 07:39:32 2021 memory use: 2145.7 MB
  56. Mon Jun 07 07:39:41 2021 keeping 49670698 ideals with weight <= 200, target excess is 303149
  57. Mon Jun 07 07:39:48 2021 commencing in-memory singleton removal
  58. Mon Jun 07 07:39:56 2021 begin with 59664302 relations and 49670698 unique ideals
  59. Mon Jun 07 07:40:56 2021 reduce to 45608530 relations and 34556252 ideals in 11 passes
  60. Mon Jun 07 07:40:56 2021 max relations containing the same ideal: 175
  61. Mon Jun 07 07:41:24 2021 removing 6705716 relations and 4705716 ideals in 2000000 cliques
  62. Mon Jun 07 07:41:26 2021 commencing in-memory singleton removal
  63. Mon Jun 07 07:41:31 2021 begin with 38902814 relations and 34556252 unique ideals
  64. Mon Jun 07 07:42:06 2021 reduce to 37934630 relations and 28826405 ideals in 8 passes
  65. Mon Jun 07 07:42:06 2021 max relations containing the same ideal: 158
  66. Mon Jun 07 07:42:29 2021 removing 5669707 relations and 3669707 ideals in 2000000 cliques
  67. Mon Jun 07 07:42:31 2021 commencing in-memory singleton removal
  68. Mon Jun 07 07:42:35 2021 begin with 32264923 relations and 28826405 unique ideals
  69. Mon Jun 07 07:43:01 2021 reduce to 31604349 relations and 24460365 ideals in 7 passes
  70. Mon Jun 07 07:43:01 2021 max relations containing the same ideal: 141
  71. Mon Jun 07 07:43:21 2021 removing 5380154 relations and 3380154 ideals in 2000000 cliques
  72. Mon Jun 07 07:43:22 2021 commencing in-memory singleton removal
  73. Mon Jun 07 07:43:25 2021 begin with 26224195 relations and 24460365 unique ideals
  74. Mon Jun 07 07:43:46 2021 reduce to 25589459 relations and 20407618 ideals in 7 passes
  75. Mon Jun 07 07:43:46 2021 max relations containing the same ideal: 123
  76. Mon Jun 07 07:44:02 2021 removing 5266843 relations and 3266843 ideals in 2000000 cliques
  77. Mon Jun 07 07:44:03 2021 commencing in-memory singleton removal
  78. Mon Jun 07 07:44:06 2021 begin with 20322616 relations and 20407618 unique ideals
  79. Mon Jun 07 07:44:24 2021 reduce to 19620722 relations and 16389869 ideals in 8 passes
  80. Mon Jun 07 07:44:24 2021 max relations containing the same ideal: 106
  81. Mon Jun 07 07:44:37 2021 removing 5218821 relations and 3218821 ideals in 2000000 cliques
  82. Mon Jun 07 07:44:39 2021 commencing in-memory singleton removal
  83. Mon Jun 07 07:44:40 2021 begin with 14401901 relations and 16389869 unique ideals
  84. Mon Jun 07 07:44:53 2021 reduce to 13534301 relations and 12224951 ideals in 9 passes
  85. Mon Jun 07 07:44:53 2021 max relations containing the same ideal: 80
  86. Mon Jun 07 07:45:02 2021 removing 2849728 relations and 1892031 ideals in 957697 cliques
  87. Mon Jun 07 07:45:03 2021 commencing in-memory singleton removal
  88. Mon Jun 07 07:45:04 2021 begin with 10684573 relations and 12224951 unique ideals
  89. Mon Jun 07 07:45:13 2021 reduce to 10181254 relations and 9793674 ideals in 8 passes
  90. Mon Jun 07 07:45:13 2021 max relations containing the same ideal: 66
  91. Mon Jun 07 07:45:20 2021 removing 208308 relations and 172381 ideals in 35927 cliques
  92. Mon Jun 07 07:45:20 2021 commencing in-memory singleton removal
  93. Mon Jun 07 07:45:21 2021 begin with 9972946 relations and 9793674 unique ideals
  94. Mon Jun 07 07:45:28 2021 reduce to 9969090 relations and 9617425 ideals in 6 passes
  95. Mon Jun 07 07:45:28 2021 max relations containing the same ideal: 66
  96. Mon Jun 07 07:45:30 2021 relations with 0 large ideals: 23117
  97. Mon Jun 07 07:45:30 2021 relations with 1 large ideals: 4489
  98. Mon Jun 07 07:45:30 2021 relations with 2 large ideals: 54471
  99. Mon Jun 07 07:45:30 2021 relations with 3 large ideals: 339571
  100. Mon Jun 07 07:45:30 2021 relations with 4 large ideals: 1127576
  101. Mon Jun 07 07:45:30 2021 relations with 5 large ideals: 2204252
  102. Mon Jun 07 07:45:30 2021 relations with 6 large ideals: 3008414
  103. Mon Jun 07 07:45:30 2021 relations with 7+ large ideals: 3207200
  104. Mon Jun 07 07:45:30 2021 commencing 2-way merge
  105. Mon Jun 07 07:45:38 2021 reduce to 6731052 relation sets and 6379387 unique ideals
  106. Mon Jun 07 07:45:38 2021 commencing full merge
  107. Mon Jun 07 07:48:48 2021 memory use: 860.1 MB
  108. Mon Jun 07 07:48:50 2021 found 3166211 cycles, need 3137587
  109. Mon Jun 07 07:48:50 2021 weight of 3137587 cycles is about 314079332 (100.10/cycle)
  110. Mon Jun 07 07:48:50 2021 distribution of cycle lengths:
  111. Mon Jun 07 07:48:50 2021 1 relations: 162799
  112. Mon Jun 07 07:48:50 2021 2 relations: 216891
  113. Mon Jun 07 07:48:50 2021 3 relations: 249870
  114. Mon Jun 07 07:48:50 2021 4 relations: 257221
  115. Mon Jun 07 07:48:50 2021 5 relations: 260886
  116. Mon Jun 07 07:48:50 2021 6 relations: 256837
  117. Mon Jun 07 07:48:50 2021 7 relations: 242672
  118. Mon Jun 07 07:48:50 2021 8 relations: 224346
  119. Mon Jun 07 07:48:50 2021 9 relations: 203110
  120. Mon Jun 07 07:48:50 2021 10+ relations: 1062955
  121. Mon Jun 07 07:48:50 2021 heaviest cycle: 28 relations
  122. Mon Jun 07 07:48:52 2021 commencing cycle optimization
  123. Mon Jun 07 07:48:58 2021 start with 25409768 relations
  124. Mon Jun 07 07:50:17 2021 pruned 1168765 relations
  125. Mon Jun 07 07:50:17 2021 memory use: 674.8 MB
  126. Mon Jun 07 07:50:17 2021 distribution of cycle lengths:
  127. Mon Jun 07 07:50:17 2021 1 relations: 162799
  128. Mon Jun 07 07:50:17 2021 2 relations: 221529
  129. Mon Jun 07 07:50:17 2021 3 relations: 260043
  130. Mon Jun 07 07:50:17 2021 4 relations: 268222
  131. Mon Jun 07 07:50:17 2021 5 relations: 274669
  132. Mon Jun 07 07:50:17 2021 6 relations: 269755
  133. Mon Jun 07 07:50:17 2021 7 relations: 256184
  134. Mon Jun 07 07:50:17 2021 8 relations: 234132
  135. Mon Jun 07 07:50:17 2021 9 relations: 211589
  136. Mon Jun 07 07:50:17 2021 10+ relations: 978665
  137. Mon Jun 07 07:50:17 2021 heaviest cycle: 28 relations
  138. Mon Jun 07 07:50:22 2021 RelProcTime: 1821
  139. Mon Jun 07 07:50:22 2021
  140. Mon Jun 07 07:50:22 2021 commencing linear algebra
  141. Mon Jun 07 07:50:23 2021 read 3137587 cycles
  142. Mon Jun 07 07:50:30 2021 cycles contain 9785329 unique relations
  143. Mon Jun 07 07:51:38 2021 read 9785329 relations
  144. Mon Jun 07 07:52:00 2021 using 20 quadratic characters above 4294917295
  145. Mon Jun 07 07:52:47 2021 building initial matrix
  146. Mon Jun 07 07:54:59 2021 memory use: 1214.5 MB
  147. Mon Jun 07 07:55:02 2021 read 3137587 cycles
  148. Mon Jun 07 07:55:03 2021 matrix is 3137409 x 3137587 (1256.8 MB) with weight 361117839 (115.09/col)
  149. Mon Jun 07 07:55:03 2021 sparse part has weight 294937330 (94.00/col)
  150. Mon Jun 07 07:55:41 2021 filtering completed in 2 passes
  151. Mon Jun 07 07:55:41 2021 matrix is 3137143 x 3137321 (1256.7 MB) with weight 361107393 (115.10/col)
  152. Mon Jun 07 07:55:41 2021 sparse part has weight 294932629 (94.01/col)
  153. Mon Jun 07 07:55:52 2021 matrix starts at (0, 0)
  154. Mon Jun 07 07:55:52 2021 matrix is 3137143 x 3137321 (1256.7 MB) with weight 361107393 (115.10/col)
  155. Mon Jun 07 07:55:52 2021 sparse part has weight 294932629 (94.01/col)
  156. Mon Jun 07 07:55:52 2021 saving the first 48 matrix rows for later
  157. Mon Jun 07 07:55:53 2021 matrix includes 64 packed rows
  158. Mon Jun 07 07:55:54 2021 matrix is 3137095 x 3137321 (1200.8 MB) with weight 305206132 (97.28/col)
  159. Mon Jun 07 07:55:54 2021 sparse part has weight 283408093 (90.33/col)
  160. Mon Jun 07 07:55:54 2021 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  161. Mon Jun 07 07:56:07 2021 commencing Lanczos iteration (6 threads)
  162. Mon Jun 07 07:56:07 2021 memory use: 999.5 MB
  163. Mon Jun 07 07:56:18 2021 linear algebra at 0.0%, ETA 5h43m
  164. Mon Jun 07 07:56:22 2021 checkpointing every 530000 dimensions
  165. Mon Jun 07 15:21:19 2021 lanczos halted after 49612 iterations (dim = 3137093)
  166. Mon Jun 07 15:21:22 2021 recovered 35 nontrivial dependencies
  167. Mon Jun 07 15:21:23 2021 BLanczosTime: 27061
  168. Mon Jun 07 15:21:23 2021
  169. Mon Jun 07 15:21:23 2021 commencing square root phase
  170. Mon Jun 07 15:21:23 2021 handling dependencies 1 to 64
  171. Mon Jun 07 15:21:23 2021 reading relations for dependency 1
  172. Mon Jun 07 15:21:23 2021 read 1569615 cycles
  173. Mon Jun 07 15:21:26 2021 cycles contain 4892984 unique relations
  174. Mon Jun 07 15:21:59 2021 read 4892984 relations
  175. Mon Jun 07 15:22:25 2021 multiplying 4892984 relations
  176. Mon Jun 07 15:24:08 2021 multiply complete, coefficients have about 118.22 million bits
  177. Mon Jun 07 15:24:08 2021 initial square root is modulo 305654749
  178. Mon Jun 07 15:26:13 2021 sqrtTime: 290
  179. Mon Jun 07 15:26:13 2021 p61 factor: 5527649245623758812310103146095982887360882307906379559801307
  180. Mon Jun 07 15:26:13 2021 p122 factor: 98303868260922775921479102571163309626320401688039494913821286068615970806019152184300509589666100607237891149277295605201
  181. Mon Jun 07 15:26:13 2021 elapsed time 08:06:13
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