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Mar 8th, 2024
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  1. Wed Mar 6 02:08:41 2024 Msieve v. 1.54 (SVN Unversioned directory)
  2. Wed Mar 6 02:08:41 2024 random seeds: c9181813 1786c9e3
  3. Wed Mar 6 02:08:41 2024 Using 16 OpenMP threads
  4. Wed Mar 6 02:08:41 2024 factoring 1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993 (271 digits)
  5. Wed Mar 6 02:08:42 2024 searching for 15-digit factors
  6. Wed Mar 6 02:08:43 2024 commencing number field sieve (271-digit input)
  7. Wed Mar 6 02:08:43 2024 R0: -1000000000000000000000000000000000000000000000
  8. Wed Mar 6 02:08:43 2024 R1: 1
  9. Wed Mar 6 02:08:43 2024 A0: -7
  10. Wed Mar 6 02:08:43 2024 A1: 0
  11. Wed Mar 6 02:08:43 2024 A2: 0
  12. Wed Mar 6 02:08:43 2024 A3: 0
  13. Wed Mar 6 02:08:43 2024 A4: 0
  14. Wed Mar 6 02:08:43 2024 A5: 0
  15. Wed Mar 6 02:08:43 2024 A6: 2
  16. Wed Mar 6 02:08:43 2024 skew 1.00, size 2.617e-13, alpha 1.750, combined = 4.142e-14 rroots = 2
  17. Wed Mar 6 02:08:43 2024
  18. Wed Mar 6 02:08:43 2024 commencing relation filtering
  19. Wed Mar 6 02:08:43 2024 setting target matrix density to 120.0
  20. Wed Mar 6 02:08:43 2024 estimated available RAM is 515996.3 MB
  21. Wed Mar 6 02:08:43 2024 commencing duplicate removal, pass 1
  22. Wed Mar 6 02:26:24 2024 skipped 1228 relations with b > 2^32
  23. Wed Mar 6 02:26:24 2024 skipped 2 relations with composite factors
  24. Wed Mar 6 02:26:24 2024 skipped 859 malformed relations
  25. Wed Mar 6 02:26:24 2024 found 106698838 hash collisions in 454310600 relations
  26. Wed Mar 6 02:26:50 2024 commencing duplicate removal, pass 2
  27. Wed Mar 6 02:43:36 2024 found 118913445 duplicates and 335397155 unique relations
  28. Wed Mar 6 02:43:36 2024 memory use: 2899.0 MB
  29. Wed Mar 6 02:43:37 2024 reading ideals above 720000
  30. Wed Mar 6 02:43:37 2024 commencing singleton removal, initial pass
  31. Wed Mar 6 03:30:46 2024 memory use: 11024.0 MB
  32. Wed Mar 6 03:30:47 2024 reading all ideals from disk
  33. Wed Mar 6 03:30:53 2024 memory use: 16712.3 MB
  34. Wed Mar 6 03:31:35 2024 keeping 331717503 ideals with weight <= 200, target excess is 1744645
  35. Wed Mar 6 03:32:21 2024 commencing in-memory singleton removal
  36. Wed Mar 6 03:32:30 2024 begin with 335397155 relations and 331717503 unique ideals
  37. Wed Mar 6 03:33:06 2024 reduce to 190553380 relations and 169497547 ideals in 19 passes
  38. Wed Mar 6 03:33:06 2024 max relations containing the same ideal: 148
  39. Wed Mar 6 03:34:58 2024 removing 15760812 relations and 13760812 ideals in 2000000 cliques
  40. Wed Mar 6 03:35:11 2024 commencing in-memory singleton removal
  41. Wed Mar 6 03:35:18 2024 begin with 174792568 relations and 169497547 unique ideals
  42. Wed Mar 6 03:35:47 2024 reduce to 173684152 relations and 154611781 ideals in 10 passes
  43. Wed Mar 6 03:35:47 2024 max relations containing the same ideal: 136
  44. Wed Mar 6 03:37:18 2024 removing 11827386 relations and 9827386 ideals in 2000000 cliques
  45. Wed Mar 6 03:37:26 2024 commencing in-memory singleton removal
  46. Wed Mar 6 03:37:33 2024 begin with 161856766 relations and 154611781 unique ideals
  47. Wed Mar 6 03:37:55 2024 reduce to 161151073 relations and 144069869 ideals in 8 passes
  48. Wed Mar 6 03:37:55 2024 max relations containing the same ideal: 129
  49. Wed Mar 6 03:39:23 2024 removing 10610556 relations and 8610556 ideals in 2000000 cliques
  50. Wed Mar 6 03:39:31 2024 commencing in-memory singleton removal
  51. Wed Mar 6 03:39:37 2024 begin with 150540517 relations and 144069869 unique ideals
  52. Wed Mar 6 03:40:03 2024 reduce to 149927113 relations and 134838233 ideals in 9 passes
  53. Wed Mar 6 03:40:03 2024 max relations containing the same ideal: 123
  54. Wed Mar 6 03:41:29 2024 removing 9986178 relations and 7986178 ideals in 2000000 cliques
  55. Wed Mar 6 03:41:37 2024 commencing in-memory singleton removal
  56. Wed Mar 6 03:41:42 2024 begin with 139940935 relations and 134838233 unique ideals
  57. Wed Mar 6 03:42:03 2024 reduce to 139360156 relations and 126263887 ideals in 9 passes
  58. Wed Mar 6 03:42:03 2024 max relations containing the same ideal: 118
  59. Wed Mar 6 03:43:23 2024 removing 9604855 relations and 7604855 ideals in 2000000 cliques
  60. Wed Mar 6 03:43:29 2024 commencing in-memory singleton removal
  61. Wed Mar 6 03:43:34 2024 begin with 129755301 relations and 126263887 unique ideals
  62. Wed Mar 6 03:43:54 2024 reduce to 129180991 relations and 118077090 ideals in 9 passes
  63. Wed Mar 6 03:43:54 2024 max relations containing the same ideal: 112
  64. Wed Mar 6 03:45:06 2024 removing 9363513 relations and 7363513 ideals in 2000000 cliques
  65. Wed Mar 6 03:45:13 2024 commencing in-memory singleton removal
  66. Wed Mar 6 03:45:18 2024 begin with 119817478 relations and 118077090 unique ideals
  67. Wed Mar 6 03:45:35 2024 reduce to 119229823 relations and 110117751 ideals in 9 passes
  68. Wed Mar 6 03:45:35 2024 max relations containing the same ideal: 108
  69. Wed Mar 6 03:46:39 2024 removing 9209982 relations and 7209982 ideals in 2000000 cliques
  70. Wed Mar 6 03:46:45 2024 commencing in-memory singleton removal
  71. Wed Mar 6 03:46:50 2024 begin with 110019841 relations and 110117751 unique ideals
  72. Wed Mar 6 03:47:06 2024 reduce to 109407744 relations and 102286366 ideals in 10 passes
  73. Wed Mar 6 03:47:06 2024 max relations containing the same ideal: 104
  74. Wed Mar 6 03:48:06 2024 removing 9133025 relations and 7133025 ideals in 2000000 cliques
  75. Wed Mar 6 03:48:12 2024 commencing in-memory singleton removal
  76. Wed Mar 6 03:48:16 2024 begin with 100274719 relations and 102286366 unique ideals
  77. Wed Mar 6 03:48:29 2024 reduce to 99616701 relations and 94484898 ideals in 9 passes
  78. Wed Mar 6 03:48:29 2024 max relations containing the same ideal: 94
  79. Wed Mar 6 03:49:21 2024 removing 9106880 relations and 7106880 ideals in 2000000 cliques
  80. Wed Mar 6 03:49:26 2024 commencing in-memory singleton removal
  81. Wed Mar 6 03:49:30 2024 begin with 90509821 relations and 94484898 unique ideals
  82. Wed Mar 6 03:49:46 2024 reduce to 89791214 relations and 86646871 ideals in 11 passes
  83. Wed Mar 6 03:49:46 2024 max relations containing the same ideal: 88
  84. Wed Mar 6 03:50:38 2024 removing 5770165 relations and 4649611 ideals in 1120554 cliques
  85. Wed Mar 6 03:50:42 2024 commencing in-memory singleton removal
  86. Wed Mar 6 03:50:46 2024 begin with 84021049 relations and 86646871 unique ideals
  87. Wed Mar 6 03:50:56 2024 reduce to 83722072 relations and 81695018 ideals in 8 passes
  88. Wed Mar 6 03:50:56 2024 max relations containing the same ideal: 84
  89. Wed Mar 6 03:52:06 2024 relations with 0 large ideals: 66345
  90. Wed Mar 6 03:52:06 2024 relations with 1 large ideals: 35018
  91. Wed Mar 6 03:52:06 2024 relations with 2 large ideals: 434286
  92. Wed Mar 6 03:52:06 2024 relations with 3 large ideals: 2660968
  93. Wed Mar 6 03:52:06 2024 relations with 4 large ideals: 8902104
  94. Wed Mar 6 03:52:06 2024 relations with 5 large ideals: 17848535
  95. Wed Mar 6 03:52:06 2024 relations with 6 large ideals: 22446688
  96. Wed Mar 6 03:52:06 2024 relations with 7+ large ideals: 31328128
  97. Wed Mar 6 03:52:06 2024 commencing 2-way merge
  98. Wed Mar 6 03:53:21 2024 reduce to 51806679 relation sets and 49779625 unique ideals
  99. Wed Mar 6 03:53:21 2024 commencing full merge
  100. Wed Mar 6 04:15:07 2024 memory use: 6333.2 MB
  101. Wed Mar 6 04:15:12 2024 found 23028697 cycles, need 22955825
  102. Wed Mar 6 04:15:20 2024 weight of 22955825 cycles is about 2754888559 (120.01/cycle)
  103. Wed Mar 6 04:15:21 2024 distribution of cycle lengths:
  104. Wed Mar 6 04:15:21 2024 1 relations: 1783610
  105. Wed Mar 6 04:15:21 2024 2 relations: 1749372
  106. Wed Mar 6 04:15:21 2024 3 relations: 1755168
  107. Wed Mar 6 04:15:21 2024 4 relations: 1683669
  108. Wed Mar 6 04:15:21 2024 5 relations: 1621752
  109. Wed Mar 6 04:15:21 2024 6 relations: 1547391
  110. Wed Mar 6 04:15:21 2024 7 relations: 1460603
  111. Wed Mar 6 04:15:21 2024 8 relations: 1379639
  112. Wed Mar 6 04:15:21 2024 9 relations: 1290438
  113. Wed Mar 6 04:15:21 2024 10+ relations: 8684183
  114. Wed Mar 6 04:15:21 2024 heaviest cycle: 28 relations
  115. Wed Mar 6 04:15:26 2024 commencing cycle optimization
  116. Wed Mar 6 04:16:13 2024 start with 195575441 relations
  117. Wed Mar 6 04:23:52 2024 pruned 7487793 relations
  118. Wed Mar 6 04:23:52 2024 memory use: 5420.8 MB
  119. Wed Mar 6 04:23:52 2024 distribution of cycle lengths:
  120. Wed Mar 6 04:23:52 2024 1 relations: 1783610
  121. Wed Mar 6 04:23:52 2024 2 relations: 1789321
  122. Wed Mar 6 04:23:52 2024 3 relations: 1822433
  123. Wed Mar 6 04:23:52 2024 4 relations: 1741669
  124. Wed Mar 6 04:23:52 2024 5 relations: 1688398
  125. Wed Mar 6 04:23:52 2024 6 relations: 1603375
  126. Wed Mar 6 04:23:52 2024 7 relations: 1516522
  127. Wed Mar 6 04:23:52 2024 8 relations: 1425932
  128. Wed Mar 6 04:23:52 2024 9 relations: 1330561
  129. Wed Mar 6 04:23:52 2024 10+ relations: 8254004
  130. Wed Mar 6 04:23:52 2024 heaviest cycle: 28 relations
  131. Wed Mar 6 04:24:31 2024 RelProcTime: 8148
  132. Wed Mar 6 04:24:31 2024 elapsed time 02:15:50
  133. Wed Mar 6 08:03:10 2024
  134. Wed Mar 6 08:03:10 2024
  135. Wed Mar 6 08:03:10 2024 Msieve v. 1.54 (SVN Unversioned directory)
  136. Wed Mar 6 08:03:10 2024 random seeds: 7d0cc623 21cacae1
  137. Wed Mar 6 08:03:10 2024 Using 64 OpenMP threads
  138. Wed Mar 6 08:03:10 2024 factoring 1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993 (271 digits)
  139. Wed Mar 6 08:03:12 2024 searching for 15-digit factors
  140. Wed Mar 6 08:03:13 2024 commencing number field sieve (271-digit input)
  141. Wed Mar 6 08:03:13 2024 R0: -1000000000000000000000000000000000000000000000
  142. Wed Mar 6 08:03:13 2024 R1: 1
  143. Wed Mar 6 08:03:13 2024 A0: -7
  144. Wed Mar 6 08:03:13 2024 A1: 0
  145. Wed Mar 6 08:03:13 2024 A2: 0
  146. Wed Mar 6 08:03:13 2024 A3: 0
  147. Wed Mar 6 08:03:13 2024 A4: 0
  148. Wed Mar 6 08:03:13 2024 A5: 0
  149. Wed Mar 6 08:03:13 2024 A6: 2
  150. Wed Mar 6 08:03:13 2024 skew 1.00, size 2.617e-13, alpha 1.750, combined = 4.142e-14 rroots = 2
  151. Wed Mar 6 08:03:13 2024
  152. Wed Mar 6 08:03:13 2024 commencing linear algebra
  153. Wed Mar 6 08:03:13 2024 using VBITS=256
  154. Wed Mar 6 08:03:19 2024 read 22955825 cycles
  155. Wed Mar 6 08:04:38 2024 cycles contain 82298526 unique relations
  156. Wed Mar 6 08:11:53 2024 read 82298526 relations
  157. Wed Mar 6 08:12:02 2024 using 20 quadratic characters above 4294917295
  158. Wed Mar 6 08:12:13 2024 building initial matrix
  159. Wed Mar 6 08:26:42 2024 memory use: 10808.3 MB
  160. Wed Mar 6 08:26:52 2024 read 22955825 cycles
  161. Wed Mar 6 08:26:54 2024 matrix is 22955647 x 22955825 (10739.0 MB) with weight 3069692178 (133.72/col)
  162. Wed Mar 6 08:26:54 2024 sparse part has weight 2585602616 (112.63/col)
  163. Wed Mar 6 08:32:25 2024 filtering completed in 2 passes
  164. Wed Mar 6 08:32:29 2024 matrix is 22954170 x 22954338 (10738.9 MB) with weight 3069641551 (133.73/col)
  165. Wed Mar 6 08:32:29 2024 sparse part has weight 2585584928 (112.64/col)
  166. Wed Mar 6 08:33:42 2024 matrix starts at (0, 0)
  167. Wed Mar 6 08:33:45 2024 matrix is 22954170 x 22954338 (10738.9 MB) with weight 3069641551 (133.73/col)
  168. Wed Mar 6 08:33:45 2024 sparse part has weight 2585584928 (112.64/col)
  169. Wed Mar 6 08:33:45 2024 saving the first 240 matrix rows for later
  170. Wed Mar 6 08:33:49 2024 matrix includes 256 packed rows
  171. Wed Mar 6 08:33:56 2024 matrix is 22953930 x 22954338 (9918.3 MB) with weight 2345853595 (102.20/col)
  172. Wed Mar 6 08:33:56 2024 sparse part has weight 2232746367 (97.27/col)
  173. Wed Mar 6 08:33:56 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  174. Wed Mar 6 08:34:43 2024 commencing Lanczos iteration (64 threads)
  175. Wed Mar 6 08:34:43 2024 memory use: 13737.0 MB
  176. Wed Mar 6 08:38:59 2024 linear algebra at 0.1%, ETA 52h23m
  177. Wed Mar 6 08:44:56 2024 checking every 10000 dimensions, checkpointing every 460000 dimensions
  178. Fri Mar 8 09:29:15 2024 lanczos halted after 89932 iterations (dim = 22953928)
  179. Fri Mar 8 09:30:56 2024 recovered 35 nontrivial dependencies
  180. Fri Mar 8 09:30:59 2024 BLanczosTime: 178066
  181. Fri Mar 8 09:30:59 2024
  182. Fri Mar 8 09:30:59 2024 commencing square root phase
  183. Fri Mar 8 09:30:59 2024 reading relations for dependency 1
  184. Fri Mar 8 09:31:01 2024 read 11474238 cycles
  185. Fri Mar 8 09:31:22 2024 cycles contain 41150722 unique relations
  186. Fri Mar 8 09:37:32 2024 read 41150722 relations
  187. Fri Mar 8 09:40:08 2024 multiplying 41150722 relations
  188. Fri Mar 8 09:54:10 2024 multiply complete, coefficients have about 1123.83 million bits
  189. Fri Mar 8 09:54:12 2024 initial square root is modulo 110023
  190. Fri Mar 8 10:01:22 2024 sqrtTime: 1823
  191. Fri Mar 8 10:01:22 2024 p126 factor: 140518128155696298850428697100996504680597011978674134555547025786443312170142698370052486451804814540719188819343432877366237
  192. Fri Mar 8 10:01:22 2024 p146 factor: 14233039012475091501104167946928328968420691228944042610288424817066636667142852995751422629784733683334091159482048277660774839317780468967747789
  193. Fri Mar 8 10:01:22 2024 elapsed time 49:58:12
  194.  
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