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Mar 23rd, 2021
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  1. Mon Mar 22 17:45:56 2021 Msieve v. 1.54 (SVN 1025)
  2. Mon Mar 22 17:45:56 2021 random seeds: a358eab4 8f077810
  3. Mon Mar 22 17:45:56 2021 factoring 543220397498322539388044197250525484737361983317131497989501565389585590545943422304917882447726485712262453064770032326871237581693964860641850423855577443 (156 digits)
  4. Mon Mar 22 17:45:57 2021 no P-1/P+1/ECM available, skipping
  5. Mon Mar 22 17:45:57 2021 commencing number field sieve (156-digit input)
  6. Mon Mar 22 17:45:57 2021 R0: -1634109251740217435691755371039
  7. Mon Mar 22 17:45:57 2021 R1: 196931830078426561
  8. Mon Mar 22 17:45:57 2021 A0: -116688437653104608269241290856184312484320
  9. Mon Mar 22 17:45:57 2021 A1: 6356654229796571113055322188479656
  10. Mon Mar 22 17:45:57 2021 A2: 726051318921500806644297596
  11. Mon Mar 22 17:45:57 2021 A3: -44341291964630920030
  12. Mon Mar 22 17:45:57 2021 A4: -1464630863187
  13. Mon Mar 22 17:45:57 2021 A5: 46620
  14. Mon Mar 22 17:45:57 2021 skew 24113225.70, size 3.507e-15, alpha -8.896, combined = 2.330e-12 rroots = 3
  15. Mon Mar 22 17:45:57 2021
  16. Mon Mar 22 17:45:57 2021 commencing relation filtering
  17. Mon Mar 22 17:45:57 2021 setting target matrix density to 130.0
  18. Mon Mar 22 17:45:57 2021 estimated available RAM is 16013.0 MB
  19. Mon Mar 22 17:45:57 2021 commencing duplicate removal, pass 1
  20. Mon Mar 22 17:54:46 2021 skipped 8 relations with composite factors
  21. Mon Mar 22 17:54:46 2021 found 13537745 hash collisions in 63456622 relations
  22. Mon Mar 22 17:55:13 2021 commencing duplicate removal, pass 2
  23. Mon Mar 22 17:56:31 2021 found 13513413 duplicates and 49943209 unique relations
  24. Mon Mar 22 17:56:31 2021 memory use: 330.4 MB
  25. Mon Mar 22 17:56:31 2021 reading ideals above 720000
  26. Mon Mar 22 17:56:31 2021 commencing singleton removal, initial pass
  27. Mon Mar 22 18:03:56 2021 memory use: 1378.0 MB
  28. Mon Mar 22 18:03:56 2021 reading all ideals from disk
  29. Mon Mar 22 18:03:57 2021 memory use: 1784.7 MB
  30. Mon Mar 22 18:04:02 2021 keeping 46700874 ideals with weight <= 200, target excess is 269744
  31. Mon Mar 22 18:04:07 2021 commencing in-memory singleton removal
  32. Mon Mar 22 18:04:12 2021 begin with 49943209 relations and 46700874 unique ideals
  33. Mon Mar 22 18:04:59 2021 reduce to 31667004 relations and 26519203 ideals in 13 passes
  34. Mon Mar 22 18:04:59 2021 max relations containing the same ideal: 154
  35. Mon Mar 22 18:05:16 2021 removing 4640752 relations and 3640752 ideals in 1000000 cliques
  36. Mon Mar 22 18:05:18 2021 commencing in-memory singleton removal
  37. Mon Mar 22 18:05:20 2021 begin with 27026252 relations and 26519203 unique ideals
  38. Mon Mar 22 18:05:44 2021 reduce to 26502443 relations and 22334793 ideals in 8 passes
  39. Mon Mar 22 18:05:44 2021 max relations containing the same ideal: 138
  40. Mon Mar 22 18:05:59 2021 removing 3655972 relations and 2655972 ideals in 1000000 cliques
  41. Mon Mar 22 18:06:00 2021 commencing in-memory singleton removal
  42. Mon Mar 22 18:06:02 2021 begin with 22846471 relations and 22334793 unique ideals
  43. Mon Mar 22 18:06:21 2021 reduce to 22464368 relations and 19282851 ideals in 8 passes
  44. Mon Mar 22 18:06:21 2021 max relations containing the same ideal: 125
  45. Mon Mar 22 18:06:34 2021 removing 3388718 relations and 2388718 ideals in 1000000 cliques
  46. Mon Mar 22 18:06:35 2021 commencing in-memory singleton removal
  47. Mon Mar 22 18:06:37 2021 begin with 19075650 relations and 19282851 unique ideals
  48. Mon Mar 22 18:06:50 2021 reduce to 18704851 relations and 16508473 ideals in 7 passes
  49. Mon Mar 22 18:06:50 2021 max relations containing the same ideal: 109
  50. Mon Mar 22 18:07:01 2021 removing 3266212 relations and 2266212 ideals in 1000000 cliques
  51. Mon Mar 22 18:07:02 2021 commencing in-memory singleton removal
  52. Mon Mar 22 18:07:03 2021 begin with 15438639 relations and 16508473 unique ideals
  53. Mon Mar 22 18:07:15 2021 reduce to 15044775 relations and 13829959 ideals in 8 passes
  54. Mon Mar 22 18:07:15 2021 max relations containing the same ideal: 95
  55. Mon Mar 22 18:07:23 2021 removing 2945255 relations and 2043343 ideals in 901912 cliques
  56. Mon Mar 22 18:07:24 2021 commencing in-memory singleton removal
  57. Mon Mar 22 18:07:25 2021 begin with 12099520 relations and 13829959 unique ideals
  58. Mon Mar 22 18:07:35 2021 reduce to 11708685 relations and 11375230 ideals in 9 passes
  59. Mon Mar 22 18:07:35 2021 max relations containing the same ideal: 84
  60. Mon Mar 22 18:07:42 2021 removing 137499 relations and 116948 ideals in 20551 cliques
  61. Mon Mar 22 18:07:43 2021 commencing in-memory singleton removal
  62. Mon Mar 22 18:07:44 2021 begin with 11571186 relations and 11375230 unique ideals
  63. Mon Mar 22 18:07:50 2021 reduce to 11570280 relations and 11257376 ideals in 6 passes
  64. Mon Mar 22 18:07:50 2021 max relations containing the same ideal: 83
  65. Mon Mar 22 18:07:52 2021 relations with 0 large ideals: 927
  66. Mon Mar 22 18:07:52 2021 relations with 1 large ideals: 3427
  67. Mon Mar 22 18:07:52 2021 relations with 2 large ideals: 49921
  68. Mon Mar 22 18:07:52 2021 relations with 3 large ideals: 336507
  69. Mon Mar 22 18:07:52 2021 relations with 4 large ideals: 1195015
  70. Mon Mar 22 18:07:52 2021 relations with 5 large ideals: 2495050
  71. Mon Mar 22 18:07:52 2021 relations with 6 large ideals: 3220025
  72. Mon Mar 22 18:07:52 2021 relations with 7+ large ideals: 4269408
  73. Mon Mar 22 18:07:52 2021 commencing 2-way merge
  74. Mon Mar 22 18:08:01 2021 reduce to 7544036 relation sets and 7231132 unique ideals
  75. Mon Mar 22 18:08:01 2021 commencing full merge
  76. Mon Mar 22 18:11:48 2021 memory use: 933.3 MB
  77. Mon Mar 22 18:11:49 2021 found 3296236 cycles, need 3293332
  78. Mon Mar 22 18:11:51 2021 weight of 3293332 cycles is about 428963937 (130.25/cycle)
  79. Mon Mar 22 18:11:51 2021 distribution of cycle lengths:
  80. Mon Mar 22 18:11:51 2021 1 relations: 93586
  81. Mon Mar 22 18:11:51 2021 2 relations: 172854
  82. Mon Mar 22 18:11:51 2021 3 relations: 214144
  83. Mon Mar 22 18:11:51 2021 4 relations: 225464
  84. Mon Mar 22 18:11:51 2021 5 relations: 238063
  85. Mon Mar 22 18:11:51 2021 6 relations: 237629
  86. Mon Mar 22 18:11:51 2021 7 relations: 232744
  87. Mon Mar 22 18:11:51 2021 8 relations: 225486
  88. Mon Mar 22 18:11:51 2021 9 relations: 213065
  89. Mon Mar 22 18:11:51 2021 10+ relations: 1440297
  90. Mon Mar 22 18:11:51 2021 heaviest cycle: 28 relations
  91. Mon Mar 22 18:11:52 2021 commencing cycle optimization
  92. Mon Mar 22 18:12:00 2021 start with 31330288 relations
  93. Mon Mar 22 18:13:37 2021 pruned 1593682 relations
  94. Mon Mar 22 18:13:37 2021 memory use: 801.0 MB
  95. Mon Mar 22 18:13:37 2021 distribution of cycle lengths:
  96. Mon Mar 22 18:13:37 2021 1 relations: 93586
  97. Mon Mar 22 18:13:37 2021 2 relations: 177991
  98. Mon Mar 22 18:13:37 2021 3 relations: 224472
  99. Mon Mar 22 18:13:37 2021 4 relations: 236709
  100. Mon Mar 22 18:13:37 2021 5 relations: 251768
  101. Mon Mar 22 18:13:37 2021 6 relations: 250801
  102. Mon Mar 22 18:13:37 2021 7 relations: 246324
  103. Mon Mar 22 18:13:37 2021 8 relations: 237558
  104. Mon Mar 22 18:13:37 2021 9 relations: 224476
  105. Mon Mar 22 18:13:37 2021 10+ relations: 1349647
  106. Mon Mar 22 18:13:37 2021 heaviest cycle: 28 relations
  107. Mon Mar 22 18:13:48 2021 RelProcTime: 1671
  108. Mon Mar 22 18:13:48 2021 elapsed time 00:27:52
  109. Mon Mar 22 21:51:36 2021
  110. Mon Mar 22 21:51:36 2021
  111. Mon Mar 22 21:51:36 2021 Msieve v. 1.52 (SVN exported)
  112. Mon Mar 22 21:51:36 2021 random seeds: 68bfc0a4 a5e70e17
  113. Mon Mar 22 21:51:36 2021 factoring 543220397498322539388044197250525484737361983317131497989501565389585590545943422304917882447726485712262453064770032326871237581693964860641850423855577443 (156 digits)
  114. Mon Mar 22 21:51:38 2021 searching for 15-digit factors
  115. Mon Mar 22 21:51:40 2021 commencing number field sieve (156-digit input)
  116. Mon Mar 22 21:51:40 2021 R0: -1634109251740217435691755371039
  117. Mon Mar 22 21:51:40 2021 R1: 196931830078426561
  118. Mon Mar 22 21:51:40 2021 A0: -116688437653104608269241290856184312484320
  119. Mon Mar 22 21:51:40 2021 A1: 6356654229796571113055322188479656
  120. Mon Mar 22 21:51:40 2021 A2: 726051318921500806644297596
  121. Mon Mar 22 21:51:40 2021 A3: -44341291964630920030
  122. Mon Mar 22 21:51:40 2021 A4: -1464630863187
  123. Mon Mar 22 21:51:40 2021 A5: 46620
  124. Mon Mar 22 21:51:40 2021 skew 24113225.70, size 3.507e-15, alpha -8.896, combined = 2.330e-12 rroots = 3
  125. Mon Mar 22 21:51:40 2021
  126. Mon Mar 22 21:51:40 2021 commencing linear algebra
  127. Mon Mar 22 21:51:40 2021 read 3293332 cycles
  128. Mon Mar 22 21:51:52 2021 cycles contain 11395993 unique relations
  129. Mon Mar 22 21:54:59 2021 read 11395993 relations
  130. Mon Mar 22 21:55:29 2021 using 20 quadratic characters above 536870910
  131. Mon Mar 22 21:56:43 2021 building initial matrix
  132. Mon Mar 22 22:01:44 2021 memory use: 1600.7 MB
  133. Mon Mar 22 22:01:50 2021 read 3293332 cycles
  134. Mon Mar 22 22:01:51 2021 matrix is 3293153 x 3293332 (1653.6 MB) with weight 514472682 (156.22/col)
  135. Mon Mar 22 22:01:51 2021 sparse part has weight 393969665 (119.63/col)
  136. Mon Mar 22 22:03:03 2021 filtering completed in 2 passes
  137. Mon Mar 22 22:03:05 2021 matrix is 3293142 x 3293321 (1653.6 MB) with weight 514472106 (156.22/col)
  138. Mon Mar 22 22:03:05 2021 sparse part has weight 393969557 (119.63/col)
  139. Mon Mar 22 22:03:21 2021 matrix starts at (0, 0)
  140. Mon Mar 22 22:03:23 2021 matrix is 3293142 x 3293321 (1653.6 MB) with weight 514472106 (156.22/col)
  141. Mon Mar 22 22:03:23 2021 sparse part has weight 393969557 (119.63/col)
  142. Mon Mar 22 22:03:23 2021 saving the first 48 matrix rows for later
  143. Mon Mar 22 22:03:25 2021 matrix includes 128 packed rows
  144. Mon Mar 22 22:03:26 2021 matrix is 3293094 x 3293321 (1570.5 MB) with weight 444071443 (134.84/col)
  145. Mon Mar 22 22:03:26 2021 sparse part has weight 372166439 (113.01/col)
  146. Mon Mar 22 22:03:26 2021 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
  147. Mon Mar 22 22:03:51 2021 commencing Lanczos iteration (8 threads)
  148. Mon Mar 22 22:03:51 2021 memory use: 1314.9 MB
  149. Mon Mar 22 22:04:06 2021 linear algebra at 0.0%, ETA 8h25m
  150. Mon Mar 22 22:04:10 2021 checkpointing every 410000 dimensions
  151. Tue Mar 23 05:02:48 2021 lanczos halted after 52083 iterations (dim = 3293094)
  152. Tue Mar 23 05:02:52 2021 recovered 31 nontrivial dependencies
  153. Tue Mar 23 05:02:52 2021 BLanczosTime: 25872
  154. Tue Mar 23 05:02:52 2021
  155. Tue Mar 23 05:02:52 2021 commencing square root phase
  156. Tue Mar 23 05:02:52 2021 reading relations for dependency 1
  157. Tue Mar 23 05:02:52 2021 read 1646090 cycles
  158. Tue Mar 23 05:02:57 2021 cycles contain 5699342 unique relations
  159. Tue Mar 23 05:04:55 2021 read 5699342 relations
  160. Tue Mar 23 05:05:37 2021 multiplying 5699342 relations
  161. Tue Mar 23 05:13:34 2021 multiply complete, coefficients have about 296.02 million bits
  162. Tue Mar 23 05:13:36 2021 initial square root is modulo 205043
  163. Tue Mar 23 05:25:11 2021 sqrtTime: 1339
  164. Tue Mar 23 05:25:11 2021 prp77 factor: 12764434988225317445855878057348209392890248623050335426538278492780673577693
  165. Tue Mar 23 05:25:11 2021 prp80 factor: 42557339827373613184148228929825215884768040154732163074206252544005322542610751
  166. Tue Mar 23 05:25:11 2021 elapsed time 07:33:35
  167.  
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