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Mar 10th, 2021
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  1. Mon Mar 8 18:36:49 2021 Msieve v. 1.54 (SVN 1025)
  2. Mon Mar 8 18:36:49 2021 random seeds: 80c7c97b cbf6e90a
  3. Mon Mar 8 18:36:49 2021 factoring 35536614584042474037470826102692384005293268469965206323562705089208251142902865952025475427176076307506151463555505865237641489831819132591214604421489662191 (158 digits)
  4. Mon Mar 8 18:36:50 2021 no P-1/P+1/ECM available, skipping
  5. Mon Mar 8 18:36:50 2021 commencing number field sieve (158-digit input)
  6. Mon Mar 8 18:36:50 2021 R0: -2742300100735133776575035878075
  7. Mon Mar 8 18:36:50 2021 R1: 303707558570204359
  8. Mon Mar 8 18:36:50 2021 A0: 112724842113983493128487763159019905584
  9. Mon Mar 8 18:36:50 2021 A1: 191049564575882435086118324823766
  10. Mon Mar 8 18:36:50 2021 A2: -2006133883672479854200457
  11. Mon Mar 8 18:36:50 2021 A3: -56556105400445552061
  12. Mon Mar 8 18:36:50 2021 A4: 1168597241193
  13. Mon Mar 8 18:36:50 2021 A5: 229140
  14. Mon Mar 8 18:36:50 2021 skew 4734596.26, size 2.233e-15, alpha -7.171, combined = 1.795e-12 rroots = 5
  15. Mon Mar 8 18:36:50 2021
  16. Mon Mar 8 18:36:50 2021 commencing relation filtering
  17. Mon Mar 8 18:36:50 2021 setting target matrix density to 120.0
  18. Mon Mar 8 18:36:50 2021 estimated available RAM is 16013.0 MB
  19. Mon Mar 8 18:36:50 2021 commencing duplicate removal, pass 1
  20. Mon Mar 8 18:52:02 2021 skipped 31 relations with composite factors
  21. Mon Mar 8 18:52:02 2021 found 12154476 hash collisions in 57490752 relations
  22. Mon Mar 8 18:52:51 2021 added 122011 free relations
  23. Mon Mar 8 18:52:51 2021 commencing duplicate removal, pass 2
  24. Mon Mar 8 18:54:54 2021 found 12369118 duplicates and 45243645 unique relations
  25. Mon Mar 8 18:54:54 2021 memory use: 330.4 MB
  26. Mon Mar 8 18:54:54 2021 reading ideals above 720000
  27. Mon Mar 8 18:54:54 2021 commencing singleton removal, initial pass
  28. Mon Mar 8 19:08:14 2021 memory use: 1378.0 MB
  29. Mon Mar 8 19:08:14 2021 reading all ideals from disk
  30. Mon Mar 8 19:08:16 2021 memory use: 1637.4 MB
  31. Mon Mar 8 19:08:23 2021 keeping 45601399 ideals with weight <= 200, target excess is 246853
  32. Mon Mar 8 19:08:31 2021 commencing in-memory singleton removal
  33. Mon Mar 8 19:08:37 2021 begin with 45243645 relations and 45601399 unique ideals
  34. Mon Mar 8 19:10:02 2021 reduce to 25177623 relations and 23091100 ideals in 16 passes
  35. Mon Mar 8 19:10:02 2021 max relations containing the same ideal: 144
  36. Mon Mar 8 19:10:22 2021 removing 2778556 relations and 2378556 ideals in 400000 cliques
  37. Mon Mar 8 19:10:24 2021 commencing in-memory singleton removal
  38. Mon Mar 8 19:10:27 2021 begin with 22399067 relations and 23091100 unique ideals
  39. Mon Mar 8 19:11:06 2021 reduce to 22170864 relations and 20479750 ideals in 9 passes
  40. Mon Mar 8 19:11:06 2021 max relations containing the same ideal: 131
  41. Mon Mar 8 19:11:24 2021 removing 2096286 relations and 1696286 ideals in 400000 cliques
  42. Mon Mar 8 19:11:25 2021 commencing in-memory singleton removal
  43. Mon Mar 8 19:11:28 2021 begin with 20074578 relations and 20479750 unique ideals
  44. Mon Mar 8 19:12:05 2021 reduce to 19924348 relations and 18630546 ideals in 9 passes
  45. Mon Mar 8 19:12:05 2021 max relations containing the same ideal: 119
  46. Mon Mar 8 19:12:22 2021 removing 1883990 relations and 1483990 ideals in 400000 cliques
  47. Mon Mar 8 19:12:23 2021 commencing in-memory singleton removal
  48. Mon Mar 8 19:12:26 2021 begin with 18040358 relations and 18630546 unique ideals
  49. Mon Mar 8 19:12:51 2021 reduce to 17905626 relations and 17009326 ideals in 7 passes
  50. Mon Mar 8 19:12:51 2021 max relations containing the same ideal: 113
  51. Mon Mar 8 19:13:07 2021 removing 1777925 relations and 1377925 ideals in 400000 cliques
  52. Mon Mar 8 19:13:08 2021 commencing in-memory singleton removal
  53. Mon Mar 8 19:13:10 2021 begin with 16127701 relations and 17009326 unique ideals
  54. Mon Mar 8 19:13:34 2021 reduce to 15995350 relations and 15496423 ideals in 8 passes
  55. Mon Mar 8 19:13:34 2021 max relations containing the same ideal: 104
  56. Mon Mar 8 19:13:48 2021 removing 1031044 relations and 818467 ideals in 212577 cliques
  57. Mon Mar 8 19:13:48 2021 commencing in-memory singleton removal
  58. Mon Mar 8 19:13:50 2021 begin with 14964306 relations and 15496423 unique ideals
  59. Mon Mar 8 19:14:07 2021 reduce to 14918215 relations and 14631310 ideals in 6 passes
  60. Mon Mar 8 19:14:07 2021 max relations containing the same ideal: 97
  61. Mon Mar 8 19:14:23 2021 relations with 0 large ideals: 798
  62. Mon Mar 8 19:14:23 2021 relations with 1 large ideals: 2185
  63. Mon Mar 8 19:14:23 2021 relations with 2 large ideals: 32239
  64. Mon Mar 8 19:14:23 2021 relations with 3 large ideals: 247966
  65. Mon Mar 8 19:14:23 2021 relations with 4 large ideals: 1035219
  66. Mon Mar 8 19:14:23 2021 relations with 5 large ideals: 2566857
  67. Mon Mar 8 19:14:23 2021 relations with 6 large ideals: 3969692
  68. Mon Mar 8 19:14:23 2021 relations with 7+ large ideals: 7063259
  69. Mon Mar 8 19:14:23 2021 commencing 2-way merge
  70. Mon Mar 8 19:14:41 2021 reduce to 9611327 relation sets and 9324422 unique ideals
  71. Mon Mar 8 19:14:41 2021 commencing full merge
  72. Mon Mar 8 19:22:11 2021 memory use: 1178.7 MB
  73. Mon Mar 8 19:22:13 2021 found 4249940 cycles, need 4246622
  74. Mon Mar 8 19:22:16 2021 weight of 4246622 cycles is about 509655911 (120.01/cycle)
  75. Mon Mar 8 19:22:16 2021 distribution of cycle lengths:
  76. Mon Mar 8 19:22:16 2021 1 relations: 194551
  77. Mon Mar 8 19:22:16 2021 2 relations: 285524
  78. Mon Mar 8 19:22:16 2021 3 relations: 326993
  79. Mon Mar 8 19:22:16 2021 4 relations: 327315
  80. Mon Mar 8 19:22:16 2021 5 relations: 321341
  81. Mon Mar 8 19:22:16 2021 6 relations: 306548
  82. Mon Mar 8 19:22:16 2021 7 relations: 293834
  83. Mon Mar 8 19:22:16 2021 8 relations: 271638
  84. Mon Mar 8 19:22:16 2021 9 relations: 252489
  85. Mon Mar 8 19:22:16 2021 10+ relations: 1666389
  86. Mon Mar 8 19:22:16 2021 heaviest cycle: 28 relations
  87. Mon Mar 8 19:22:18 2021 commencing cycle optimization
  88. Mon Mar 8 19:22:35 2021 start with 37570658 relations
  89. Mon Mar 8 19:25:31 2021 pruned 1639971 relations
  90. Mon Mar 8 19:25:32 2021 memory use: 1003.7 MB
  91. Mon Mar 8 19:25:32 2021 distribution of cycle lengths:
  92. Mon Mar 8 19:25:32 2021 1 relations: 194551
  93. Mon Mar 8 19:25:32 2021 2 relations: 293798
  94. Mon Mar 8 19:25:32 2021 3 relations: 342274
  95. Mon Mar 8 19:25:32 2021 4 relations: 341019
  96. Mon Mar 8 19:25:32 2021 5 relations: 336904
  97. Mon Mar 8 19:25:32 2021 6 relations: 319773
  98. Mon Mar 8 19:25:32 2021 7 relations: 306033
  99. Mon Mar 8 19:25:32 2021 8 relations: 281169
  100. Mon Mar 8 19:25:32 2021 9 relations: 261211
  101. Mon Mar 8 19:25:32 2021 10+ relations: 1569890
  102. Mon Mar 8 19:25:32 2021 heaviest cycle: 28 relations
  103. Mon Mar 8 19:25:46 2021 RelProcTime: 2936
  104. Mon Mar 8 19:25:46 2021 elapsed time 00:48:57
  105. Tue Mar 9 09:01:49 2021
  106. Tue Mar 9 09:01:49 2021
  107. Tue Mar 9 09:01:49 2021 Msieve v. 1.52 (SVN exported)
  108. Tue Mar 9 09:01:49 2021 random seeds: eef751a8 81e53fab
  109. Tue Mar 9 09:01:49 2021 factoring 35536614584042474037470826102692384005293268469965206323562705089208251142902865952025475427176076307506151463555505865237641489831819132591214604421489662191 (158 digits)
  110. Tue Mar 9 09:01:50 2021 searching for 15-digit factors
  111. Tue Mar 9 09:01:51 2021 commencing number field sieve (158-digit input)
  112. Tue Mar 9 09:01:51 2021 R0: -2742300100735133776575035878075
  113. Tue Mar 9 09:01:51 2021 R1: 303707558570204359
  114. Tue Mar 9 09:01:51 2021 A0: 112724842113983493128487763159019905584
  115. Tue Mar 9 09:01:51 2021 A1: 191049564575882435086118324823766
  116. Tue Mar 9 09:01:51 2021 A2: -2006133883672479854200457
  117. Tue Mar 9 09:01:51 2021 A3: -56556105400445552061
  118. Tue Mar 9 09:01:51 2021 A4: 1168597241193
  119. Tue Mar 9 09:01:51 2021 A5: 229140
  120. Tue Mar 9 09:01:51 2021 skew 4734596.26, size 2.233e-15, alpha -7.171, combined = 1.795e-12 rroots = 5
  121. Tue Mar 9 09:01:51 2021
  122. Tue Mar 9 09:01:51 2021 commencing linear algebra
  123. Tue Mar 9 09:01:51 2021 skipping matrix build
  124. Tue Mar 9 09:01:57 2021 matrix starts at (0, 0)
  125. Tue Mar 9 09:01:58 2021 matrix is 4246406 x 4246583 (1999.8 MB) with weight 616679505 (145.22/col)
  126. Tue Mar 9 09:01:58 2021 sparse part has weight 473281097 (111.45/col)
  127. Tue Mar 9 09:01:58 2021 saving the first 48 matrix rows for later
  128. Tue Mar 9 09:01:59 2021 matrix includes 64 packed rows
  129. Tue Mar 9 09:02:00 2021 matrix is 4246358 x 4246583 (1954.9 MB) with weight 527729192 (124.27/col)
  130. Tue Mar 9 09:02:00 2021 sparse part has weight 470000080 (110.68/col)
  131. Tue Mar 9 09:02:00 2021 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
  132. Tue Mar 9 09:02:27 2021 commencing Lanczos iteration (8 threads)
  133. Tue Mar 9 09:02:27 2021 memory use: 1612.1 MB
  134. Tue Mar 9 09:02:42 2021 linear algebra at 0.0%, ETA 10h54m
  135. Tue Mar 9 09:02:47 2021 checkpointing every 390000 dimensions
  136. Tue Mar 9 21:15:25 2021 lanczos halted after 67153 iterations (dim = 4246358)
  137. Tue Mar 9 21:15:30 2021 recovered 30 nontrivial dependencies
  138. Tue Mar 9 21:15:30 2021 BLanczosTime: 44019
  139. Tue Mar 9 21:15:30 2021
  140. Tue Mar 9 21:15:30 2021 commencing square root phase
  141. Tue Mar 9 21:15:30 2021 handling dependencies 1 to 64
  142. Tue Mar 9 21:15:30 2021 reading relations for dependency 1
  143. Tue Mar 9 21:15:31 2021 read 2123216 cycles
  144. Tue Mar 9 21:15:37 2021 cycles contain 7368230 unique relations
  145. Tue Mar 9 21:17:40 2021 read 7368230 relations
  146. Tue Mar 9 21:18:37 2021 multiplying 7368230 relations
  147. Tue Mar 9 21:28:14 2021 multiply complete, coefficients have about 398.69 million bits
  148. Tue Mar 9 21:28:17 2021 initial square root is modulo 14249743
  149. Tue Mar 9 21:39:55 2021 GCD is N, no factor found
  150. Tue Mar 9 21:39:55 2021 reading relations for dependency 2
  151. Tue Mar 9 21:39:56 2021 read 2124943 cycles
  152. Tue Mar 9 21:40:02 2021 cycles contain 7369582 unique relations
  153. Tue Mar 9 21:42:04 2021 read 7369582 relations
  154. Tue Mar 9 21:43:00 2021 multiplying 7369582 relations
  155. Tue Mar 9 21:53:16 2021 multiply complete, coefficients have about 398.77 million bits
  156. Tue Mar 9 21:53:20 2021 initial square root is modulo 14295223
  157. Tue Mar 9 22:06:39 2021 GCD is N, no factor found
  158. Tue Mar 9 22:06:39 2021 reading relations for dependency 3
  159. Tue Mar 9 22:06:40 2021 read 2122600 cycles
  160. Tue Mar 9 22:06:49 2021 cycles contain 7366474 unique relations
  161. Tue Mar 9 22:09:27 2021 read 7366474 relations
  162. Tue Mar 9 22:10:32 2021 multiplying 7366474 relations
  163. Tue Mar 9 22:23:14 2021 multiply complete, coefficients have about 398.60 million bits
  164. Tue Mar 9 22:23:17 2021 initial square root is modulo 14194399
  165. Tue Mar 9 22:38:37 2021 GCD is 1, no factor found
  166. Tue Mar 9 22:38:37 2021 reading relations for dependency 4
  167. Tue Mar 9 22:38:38 2021 read 2123237 cycles
  168. Tue Mar 9 22:38:45 2021 cycles contain 7367474 unique relations
  169. Tue Mar 9 22:41:07 2021 read 7367474 relations
  170. Tue Mar 9 22:42:07 2021 multiplying 7367474 relations
  171. Tue Mar 9 22:54:15 2021 multiply complete, coefficients have about 398.65 million bits
  172. Tue Mar 9 22:54:19 2021 initial square root is modulo 14228573
  173. Tue Mar 9 23:09:08 2021 sqrtTime: 6818
  174. Tue Mar 9 23:09:08 2021 prp73 factor: 2142939393408377969972086015814582754760588969967285560419883182815479511
  175. Tue Mar 9 23:09:08 2021 prp86 factor: 16583116952981550981457241674685019725932303254525797367905412768582465790788604883881
  176. Tue Mar 9 23:09:08 2021 elapsed time 14:07:19
  177.  
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