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Msieve log of 519__511_7m1

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Aug 31st, 2021
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  1. Mon Aug 30 21:59:08 2021
  2. Mon Aug 30 21:59:08 2021
  3. Mon Aug 30 21:59:08 2021 Msieve v. 1.53 (SVN 988)
  4. Mon Aug 30 21:59:08 2021 random seeds: d12c5014 4fe7705e
  5. Mon Aug 30 21:59:08 2021 factoring 312804257296410317683167380007585198741986792806325499743422194164797713448527245453851048616375492570809100035252924225742323268015755893967998537181 (150 digits)
  6. Mon Aug 30 21:59:09 2021 searching for 15-digit factors
  7. Mon Aug 30 21:59:10 2021 commencing number field sieve (150-digit input)
  8. Mon Aug 30 21:59:10 2021 R0: 519211189523980856872429785652927511
  9. Mon Aug 30 21:59:10 2021 R1: -1
  10. Mon Aug 30 21:59:10 2021 A0: 1
  11. Mon Aug 30 21:59:10 2021 A1: 1
  12. Mon Aug 30 21:59:10 2021 A2: 1
  13. Mon Aug 30 21:59:10 2021 A3: 1
  14. Mon Aug 30 21:59:10 2021 A4: 1
  15. Mon Aug 30 21:59:10 2021 A5: 1
  16. Mon Aug 30 21:59:10 2021 A6: 1
  17. Mon Aug 30 21:59:10 2021 skew 1.00, size 1.215e-010, alpha 2.428, combined = 3.844e-012 rroots = 0
  18. Mon Aug 30 21:59:10 2021
  19. Mon Aug 30 21:59:10 2021 commencing relation filtering
  20. Mon Aug 30 21:59:10 2021 setting target matrix density to 100.0
  21. Mon Aug 30 21:59:10 2021 estimated available RAM is 12041.5 MB
  22. Mon Aug 30 21:59:10 2021 commencing duplicate removal, pass 1
  23. Mon Aug 30 21:59:53 2021 error -9 reading relation 3749334
  24. Mon Aug 30 22:01:59 2021 error -1 reading relation 15139359
  25. Mon Aug 30 22:05:05 2021 error -15 reading relation 31719770
  26. Mon Aug 30 22:05:17 2021 error -1 reading relation 32795482
  27. Mon Aug 30 22:05:30 2021 error -9 reading relation 34041624
  28. Mon Aug 30 22:05:40 2021 error -15 reading relation 34917142
  29. Mon Aug 30 22:05:56 2021 error -1 reading relation 36365895
  30. Mon Aug 30 22:06:29 2021 error -15 reading relation 39336162
  31. Mon Aug 30 22:06:33 2021 error -1 reading relation 39705000
  32. Mon Aug 30 22:06:33 2021 error -9 reading relation 39729066
  33. Mon Aug 30 22:06:40 2021 error -9 reading relation 40373654
  34. Mon Aug 30 22:06:42 2021 error -1 reading relation 40506094
  35. Mon Aug 30 22:06:47 2021 error -9 reading relation 40982130
  36. Mon Aug 30 22:06:51 2021 error -15 reading relation 41337769
  37. Mon Aug 30 22:06:58 2021 error -9 reading relation 41978977
  38. Mon Aug 30 22:08:54 2021 error -5 reading relation 52712646
  39. Mon Aug 30 22:09:15 2021 error -9 reading relation 54662487
  40. Mon Aug 30 22:09:19 2021 skipped 2 relations with b > 2^32
  41. Mon Aug 30 22:09:19 2021 skipped 13 relations with composite factors
  42. Mon Aug 30 22:09:19 2021 found 9102037 hash collisions in 54950784 relations
  43. Mon Aug 30 22:09:28 2021 added 2438529 free relations
  44. Mon Aug 30 22:09:28 2021 commencing duplicate removal, pass 2
  45. Mon Aug 30 22:10:09 2021 found 8288419 duplicates and 49100894 unique relations
  46. Mon Aug 30 22:10:09 2021 memory use: 330.4 MB
  47. Mon Aug 30 22:10:09 2021 reading ideals above 720000
  48. Mon Aug 30 22:10:09 2021 commencing singleton removal, initial pass
  49. Mon Aug 30 22:20:34 2021 memory use: 1378.0 MB
  50. Mon Aug 30 22:20:35 2021 reading all ideals from disk
  51. Mon Aug 30 22:20:38 2021 memory use: 1752.4 MB
  52. Mon Aug 30 22:20:46 2021 keeping 46713315 ideals with weight <= 200, target excess is 252428
  53. Mon Aug 30 22:20:53 2021 commencing in-memory singleton removal
  54. Mon Aug 30 22:21:00 2021 begin with 49100894 relations and 46713315 unique ideals
  55. Mon Aug 30 22:21:56 2021 reduce to 30299413 relations and 25733119 ideals in 14 passes
  56. Mon Aug 30 22:21:56 2021 max relations containing the same ideal: 152
  57. Mon Aug 30 22:22:17 2021 removing 4871414 relations and 3871414 ideals in 1000000 cliques
  58. Mon Aug 30 22:22:19 2021 commencing in-memory singleton removal
  59. Mon Aug 30 22:22:23 2021 begin with 25427999 relations and 25733119 unique ideals
  60. Mon Aug 30 22:22:49 2021 reduce to 24629966 relations and 21028653 ideals in 9 passes
  61. Mon Aug 30 22:22:49 2021 max relations containing the same ideal: 132
  62. Mon Aug 30 22:23:06 2021 removing 3885639 relations and 2885639 ideals in 1000000 cliques
  63. Mon Aug 30 22:23:08 2021 commencing in-memory singleton removal
  64. Mon Aug 30 22:23:11 2021 begin with 20744327 relations and 21028653 unique ideals
  65. Mon Aug 30 22:23:32 2021 reduce to 20239755 relations and 17617124 ideals in 9 passes
  66. Mon Aug 30 22:23:32 2021 max relations containing the same ideal: 116
  67. Mon Aug 30 22:23:47 2021 removing 3531818 relations and 2531818 ideals in 1000000 cliques
  68. Mon Aug 30 22:23:48 2021 commencing in-memory singleton removal
  69. Mon Aug 30 22:23:51 2021 begin with 16707937 relations and 17617124 unique ideals
  70. Mon Aug 30 22:24:10 2021 reduce to 16227459 relations and 14582107 ideals in 10 passes
  71. Mon Aug 30 22:24:10 2021 max relations containing the same ideal: 101
  72. Mon Aug 30 22:24:22 2021 removing 3374205 relations and 2374205 ideals in 1000000 cliques
  73. Mon Aug 30 22:24:23 2021 commencing in-memory singleton removal
  74. Mon Aug 30 22:24:25 2021 begin with 12853254 relations and 14582107 unique ideals
  75. Mon Aug 30 22:24:38 2021 reduce to 12341766 relations and 11666722 ideals in 9 passes
  76. Mon Aug 30 22:24:38 2021 max relations containing the same ideal: 82
  77. Mon Aug 30 22:24:47 2021 removing 1553194 relations and 1170967 ideals in 382227 cliques
  78. Mon Aug 30 22:24:48 2021 commencing in-memory singleton removal
  79. Mon Aug 30 22:24:49 2021 begin with 10788572 relations and 11666722 unique ideals
  80. Mon Aug 30 22:24:59 2021 reduce to 10650315 relations and 10353733 ideals in 8 passes
  81. Mon Aug 30 22:24:59 2021 max relations containing the same ideal: 73
  82. Mon Aug 30 22:25:09 2021 relations with 0 large ideals: 18251
  83. Mon Aug 30 22:25:09 2021 relations with 1 large ideals: 5562
  84. Mon Aug 30 22:25:09 2021 relations with 2 large ideals: 37539
  85. Mon Aug 30 22:25:09 2021 relations with 3 large ideals: 255106
  86. Mon Aug 30 22:25:09 2021 relations with 4 large ideals: 951605
  87. Mon Aug 30 22:25:09 2021 relations with 5 large ideals: 2094180
  88. Mon Aug 30 22:25:09 2021 relations with 6 large ideals: 2833986
  89. Mon Aug 30 22:25:09 2021 relations with 7+ large ideals: 4454086
  90. Mon Aug 30 22:25:09 2021 commencing 2-way merge
  91. Mon Aug 30 22:25:19 2021 reduce to 6912697 relation sets and 6616115 unique ideals
  92. Mon Aug 30 22:25:19 2021 commencing full merge
  93. Mon Aug 30 22:29:24 2021 memory use: 947.5 MB
  94. Mon Aug 30 22:29:26 2021 found 3284056 cycles, need 3258315
  95. Mon Aug 30 22:29:26 2021 weight of 3258315 cycles is about 326420529 (100.18/cycle)
  96. Mon Aug 30 22:29:26 2021 distribution of cycle lengths:
  97. Mon Aug 30 22:29:26 2021 1 relations: 191339
  98. Mon Aug 30 22:29:27 2021 2 relations: 237618
  99. Mon Aug 30 22:29:27 2021 3 relations: 265439
  100. Mon Aug 30 22:29:27 2021 4 relations: 265124
  101. Mon Aug 30 22:29:27 2021 5 relations: 262185
  102. Mon Aug 30 22:29:27 2021 6 relations: 253738
  103. Mon Aug 30 22:29:27 2021 7 relations: 240864
  104. Mon Aug 30 22:29:27 2021 8 relations: 224529
  105. Mon Aug 30 22:29:27 2021 9 relations: 205366
  106. Mon Aug 30 22:29:27 2021 10+ relations: 1112113
  107. Mon Aug 30 22:29:27 2021 heaviest cycle: 28 relations
  108. Mon Aug 30 22:29:29 2021 commencing cycle optimization
  109. Mon Aug 30 22:29:36 2021 start with 26181068 relations
  110. Mon Aug 30 22:31:06 2021 pruned 1082654 relations
  111. Mon Aug 30 22:31:06 2021 memory use: 710.1 MB
  112. Mon Aug 30 22:31:06 2021 distribution of cycle lengths:
  113. Mon Aug 30 22:31:06 2021 1 relations: 191339
  114. Mon Aug 30 22:31:06 2021 2 relations: 242698
  115. Mon Aug 30 22:31:06 2021 3 relations: 275582
  116. Mon Aug 30 22:31:06 2021 4 relations: 275031
  117. Mon Aug 30 22:31:06 2021 5 relations: 274158
  118. Mon Aug 30 22:31:06 2021 6 relations: 264287
  119. Mon Aug 30 22:31:06 2021 7 relations: 251796
  120. Mon Aug 30 22:31:06 2021 8 relations: 233903
  121. Mon Aug 30 22:31:06 2021 9 relations: 212713
  122. Mon Aug 30 22:31:06 2021 10+ relations: 1036808
  123. Mon Aug 30 22:31:06 2021 heaviest cycle: 28 relations
  124. Mon Aug 30 22:31:12 2021 RelProcTime: 1922
  125. Mon Aug 30 22:31:12 2021
  126. Mon Aug 30 22:31:12 2021 commencing linear algebra
  127. Mon Aug 30 22:31:13 2021 read 3258315 cycles
  128. Mon Aug 30 22:31:22 2021 cycles contain 10455972 unique relations
  129. Mon Aug 30 22:33:07 2021 read 10455972 relations
  130. Mon Aug 30 22:33:33 2021 using 20 quadratic characters above 4294917295
  131. Mon Aug 30 22:34:42 2021 building initial matrix
  132. Mon Aug 30 22:37:34 2021 memory use: 1278.6 MB
  133. Mon Aug 30 22:37:38 2021 read 3258315 cycles
  134. Mon Aug 30 22:37:39 2021 matrix is 3258136 x 3258315 (1309.4 MB) with weight 374282239 (114.87/col)
  135. Mon Aug 30 22:37:39 2021 sparse part has weight 307420856 (94.35/col)
  136. Mon Aug 30 22:38:28 2021 filtering completed in 2 passes
  137. Mon Aug 30 22:38:29 2021 matrix is 3257936 x 3258115 (1309.4 MB) with weight 374275021 (114.87/col)
  138. Mon Aug 30 22:38:29 2021 sparse part has weight 307417930 (94.35/col)
  139. Mon Aug 30 22:38:42 2021 matrix starts at (0, 0)
  140. Mon Aug 30 22:38:42 2021 matrix is 3257936 x 3258115 (1309.4 MB) with weight 374275021 (114.87/col)
  141. Mon Aug 30 22:38:42 2021 sparse part has weight 307417930 (94.35/col)
  142. Mon Aug 30 22:38:42 2021 saving the first 48 matrix rows for later
  143. Mon Aug 30 22:38:44 2021 matrix includes 64 packed rows
  144. Mon Aug 30 22:38:45 2021 matrix is 3257888 x 3258115 (1249.3 MB) with weight 316979340 (97.29/col)
  145. Mon Aug 30 22:38:45 2021 sparse part has weight 294903384 (90.51/col)
  146. Mon Aug 30 22:38:45 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  147. Mon Aug 30 22:39:05 2021 commencing Lanczos iteration (6 threads)
  148. Mon Aug 30 22:39:05 2021 memory use: 1041.3 MB
  149. Mon Aug 30 22:39:19 2021 linear algebra at 0.0%, ETA 8h19m
  150. Mon Aug 30 22:39:23 2021 checkpointing every 410000 dimensions
  151. Tue Aug 31 06:42:01 2021 lanczos halted after 51520 iterations (dim = 3257885)
  152. Tue Aug 31 06:42:06 2021 recovered 38 nontrivial dependencies
  153. Tue Aug 31 06:42:07 2021 BLanczosTime: 29455
  154. Tue Aug 31 06:42:07 2021
  155. Tue Aug 31 06:42:07 2021 commencing square root phase
  156. Tue Aug 31 06:42:07 2021 handling dependencies 1 to 64
  157. Tue Aug 31 06:42:07 2021 reading relations for dependency 1
  158. Tue Aug 31 06:42:08 2021 read 1629956 cycles
  159. Tue Aug 31 06:42:12 2021 cycles contain 5232344 unique relations
  160. Tue Aug 31 06:43:08 2021 read 5232344 relations
  161. Tue Aug 31 06:43:44 2021 multiplying 5232344 relations
  162. Tue Aug 31 06:47:48 2021 multiply complete, coefficients have about 124.59 million bits
  163. Tue Aug 31 06:47:49 2021 initial square root is modulo 876337003
  164. Tue Aug 31 06:52:00 2021 sqrtTime: 593
  165. Tue Aug 31 06:52:00 2021 p70 factor: 5848154131191689267467694179951968309131812767388176684996493674814591
  166. Tue Aug 31 06:52:00 2021 p80 factor: 53487690351394622212150053021845692715807845271076173219665934912819279028803491
  167. Tue Aug 31 06:52:00 2021 elapsed time 08:52:52
  168.  
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