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Apr 28th, 2023
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  1. Thu Apr 27 09:46:29 2023 Msieve v. 1.54 (SVN unknown)
  2. Thu Apr 27 09:46:29 2023 random seeds: 7b4a1833 04a32939
  3. Thu Apr 27 09:46:29 2023 factoring 834667349089978826379137623507301756399142297061761114958593174873197750101711199086305147234455711535482916513505609303175792319444033604185183562482617477 (156 digits)
  4. Thu Apr 27 09:46:30 2023 searching for 15-digit factors
  5. Thu Apr 27 09:46:31 2023 commencing number field sieve (156-digit input)
  6. Thu Apr 27 09:46:31 2023 R0: -1498807372189235566274169071763
  7. Thu Apr 27 09:46:31 2023 R1: 582348723297971473
  8. Thu Apr 27 09:46:31 2023 A0: 32789782209714618105037123592936482880
  9. Thu Apr 27 09:46:31 2023 A1: -26026869186497671091715600911896
  10. Thu Apr 27 09:46:31 2023 A2: -6537527274188882393567894
  11. Thu Apr 27 09:46:31 2023 A3: 2845100149361187511
  12. Thu Apr 27 09:46:31 2023 A4: 2689983680646
  13. Thu Apr 27 09:46:31 2023 A5: 110352
  14. Thu Apr 27 09:46:31 2023 skew 3881691.63, size 3.424e-15, alpha -7.047, combined = 2.338e-12 rroots = 1
  15. Thu Apr 27 09:46:31 2023
  16. Thu Apr 27 09:46:31 2023 commencing relation filtering
  17. Thu Apr 27 09:46:31 2023 setting target matrix density to 110.0
  18. Thu Apr 27 09:46:31 2023 estimated available RAM is 15536.6 MB
  19. Thu Apr 27 09:46:31 2023 commencing duplicate removal, pass 1
  20. Thu Apr 27 09:47:11 2023 error -15 reading relation 12331542
  21. Thu Apr 27 09:47:49 2023 error -9 reading relation 23098179
  22. Thu Apr 27 09:48:33 2023 error -15 reading relation 36210744
  23. Thu Apr 27 09:48:37 2023 error -15 reading relation 37280305
  24. Thu Apr 27 09:48:49 2023 error -15 reading relation 41104571
  25. Thu Apr 27 09:48:49 2023 error -15 reading relation 41184958
  26. Thu Apr 27 09:48:49 2023 error -1 reading relation 41185966
  27. Thu Apr 27 09:48:49 2023 error -1 reading relation 41261261
  28. Thu Apr 27 09:49:36 2023 skipped 6 relations with composite factors
  29. Thu Apr 27 09:49:36 2023 found 11026465 hash collisions in 56167736 relations
  30. Thu Apr 27 09:50:22 2023 commencing duplicate removal, pass 2
  31. Thu Apr 27 09:52:07 2023 found 10836132 duplicates and 45331604 unique relations
  32. Thu Apr 27 09:52:07 2023 memory use: 330.4 MB
  33. Thu Apr 27 09:52:07 2023 reading ideals above 720000
  34. Thu Apr 27 09:52:07 2023 commencing singleton removal, initial pass
  35. Thu Apr 27 09:57:11 2023 memory use: 1378.0 MB
  36. Thu Apr 27 09:57:11 2023 reading all ideals from disk
  37. Thu Apr 27 09:57:12 2023 memory use: 1989.5 MB
  38. Thu Apr 27 09:57:19 2023 keeping 45556682 ideals with weight <= 200, target excess is 247178
  39. Thu Apr 27 09:57:27 2023 commencing in-memory singleton removal
  40. Thu Apr 27 09:57:29 2023 begin with 45331604 relations and 45556682 unique ideals
  41. Thu Apr 27 09:57:37 2023 reduce to 25253923 relations and 23036985 ideals in 16 passes
  42. Thu Apr 27 09:57:37 2023 max relations containing the same ideal: 142
  43. Thu Apr 27 09:57:52 2023 removing 2766563 relations and 2366563 ideals in 400000 cliques
  44. Thu Apr 27 09:57:53 2023 commencing in-memory singleton removal
  45. Thu Apr 27 09:57:55 2023 begin with 22487360 relations and 23036985 unique ideals
  46. Thu Apr 27 09:57:58 2023 reduce to 22260178 relations and 20438627 ideals in 9 passes
  47. Thu Apr 27 09:57:58 2023 max relations containing the same ideal: 129
  48. Thu Apr 27 09:58:10 2023 removing 2087923 relations and 1687923 ideals in 400000 cliques
  49. Thu Apr 27 09:58:12 2023 commencing in-memory singleton removal
  50. Thu Apr 27 09:58:13 2023 begin with 20172255 relations and 20438627 unique ideals
  51. Thu Apr 27 09:58:15 2023 reduce to 20022133 relations and 18597860 ideals in 8 passes
  52. Thu Apr 27 09:58:15 2023 max relations containing the same ideal: 118
  53. Thu Apr 27 09:58:27 2023 removing 1878363 relations and 1478363 ideals in 400000 cliques
  54. Thu Apr 27 09:58:28 2023 commencing in-memory singleton removal
  55. Thu Apr 27 09:58:29 2023 begin with 18143770 relations and 18597860 unique ideals
  56. Thu Apr 27 09:58:31 2023 reduce to 18010130 relations and 16983380 ideals in 7 passes
  57. Thu Apr 27 09:58:31 2023 max relations containing the same ideal: 111
  58. Thu Apr 27 09:58:41 2023 removing 1769296 relations and 1369296 ideals in 400000 cliques
  59. Thu Apr 27 09:58:42 2023 commencing in-memory singleton removal
  60. Thu Apr 27 09:58:43 2023 begin with 16240834 relations and 16983380 unique ideals
  61. Thu Apr 27 09:58:45 2023 reduce to 16110479 relations and 15481170 ideals in 8 passes
  62. Thu Apr 27 09:58:45 2023 max relations containing the same ideal: 103
  63. Thu Apr 27 09:58:54 2023 removing 1505237 relations and 1162655 ideals in 342582 cliques
  64. Thu Apr 27 09:58:56 2023 commencing in-memory singleton removal
  65. Thu Apr 27 09:58:56 2023 begin with 14605242 relations and 15481170 unique ideals
  66. Thu Apr 27 09:58:58 2023 reduce to 14503207 relations and 14214533 ideals in 8 passes
  67. Thu Apr 27 09:58:58 2023 max relations containing the same ideal: 101
  68. Thu Apr 27 09:59:10 2023 relations with 0 large ideals: 800
  69. Thu Apr 27 09:59:10 2023 relations with 1 large ideals: 1976
  70. Thu Apr 27 09:59:10 2023 relations with 2 large ideals: 29996
  71. Thu Apr 27 09:59:10 2023 relations with 3 large ideals: 235966
  72. Thu Apr 27 09:59:10 2023 relations with 4 large ideals: 993482
  73. Thu Apr 27 09:59:10 2023 relations with 5 large ideals: 2485136
  74. Thu Apr 27 09:59:10 2023 relations with 6 large ideals: 3870385
  75. Thu Apr 27 09:59:10 2023 relations with 7+ large ideals: 6885466
  76. Thu Apr 27 09:59:10 2023 commencing 2-way merge
  77. Thu Apr 27 09:59:21 2023 reduce to 9314519 relation sets and 9025845 unique ideals
  78. Thu Apr 27 09:59:21 2023 commencing full merge
  79. Thu Apr 27 10:05:00 2023 memory use: 1148.9 MB
  80. Thu Apr 27 10:05:01 2023 found 4239315 cycles, need 4222045
  81. Thu Apr 27 10:05:04 2023 weight of 4222045 cycles is about 464495704 (110.02/cycle)
  82. Thu Apr 27 10:05:04 2023 distribution of cycle lengths:
  83. Thu Apr 27 10:05:04 2023 1 relations: 219217
  84. Thu Apr 27 10:05:04 2023 2 relations: 311490
  85. Thu Apr 27 10:05:04 2023 3 relations: 349249
  86. Thu Apr 27 10:05:04 2023 4 relations: 347018
  87. Thu Apr 27 10:05:04 2023 5 relations: 341517
  88. Thu Apr 27 10:05:04 2023 6 relations: 322119
  89. Thu Apr 27 10:05:04 2023 7 relations: 302717
  90. Thu Apr 27 10:05:04 2023 8 relations: 280988
  91. Thu Apr 27 10:05:04 2023 9 relations: 258363
  92. Thu Apr 27 10:05:04 2023 10+ relations: 1489367
  93. Thu Apr 27 10:05:04 2023 heaviest cycle: 28 relations
  94. Thu Apr 27 10:05:05 2023 commencing cycle optimization
  95. Thu Apr 27 10:05:20 2023 start with 34807544 relations
  96. Thu Apr 27 10:07:23 2023 pruned 1438341 relations
  97. Thu Apr 27 10:07:24 2023 memory use: 957.7 MB
  98. Thu Apr 27 10:07:24 2023 distribution of cycle lengths:
  99. Thu Apr 27 10:07:24 2023 1 relations: 219217
  100. Thu Apr 27 10:07:24 2023 2 relations: 320403
  101. Thu Apr 27 10:07:24 2023 3 relations: 365746
  102. Thu Apr 27 10:07:24 2023 4 relations: 360831
  103. Thu Apr 27 10:07:24 2023 5 relations: 357124
  104. Thu Apr 27 10:07:24 2023 6 relations: 335344
  105. Thu Apr 27 10:07:24 2023 7 relations: 314755
  106. Thu Apr 27 10:07:24 2023 8 relations: 289906
  107. Thu Apr 27 10:07:24 2023 9 relations: 265143
  108. Thu Apr 27 10:07:24 2023 10+ relations: 1393576
  109. Thu Apr 27 10:07:24 2023 heaviest cycle: 28 relations
  110. Thu Apr 27 10:07:34 2023 RelProcTime: 1263
  111. Thu Apr 27 10:07:36 2023 elapsed time 00:21:07
  112. Thu Apr 27 10:07:53 2023
  113. Thu Apr 27 10:07:53 2023
  114. Thu Apr 27 10:07:53 2023 Msieve v. 1.54 (SVN unknown)
  115. Thu Apr 27 10:07:53 2023 random seeds: c5269610 8238ab9e
  116. Thu Apr 27 10:07:53 2023 factoring 834667349089978826379137623507301756399142297061761114958593174873197750101711199086305147234455711535482916513505609303175792319444033604185183562482617477 (156 digits)
  117. Thu Apr 27 10:07:54 2023 searching for 15-digit factors
  118. Thu Apr 27 10:07:54 2023 commencing number field sieve (156-digit input)
  119. Thu Apr 27 10:07:54 2023 R0: -1498807372189235566274169071763
  120. Thu Apr 27 10:07:54 2023 R1: 582348723297971473
  121. Thu Apr 27 10:07:54 2023 A0: 32789782209714618105037123592936482880
  122. Thu Apr 27 10:07:54 2023 A1: -26026869186497671091715600911896
  123. Thu Apr 27 10:07:54 2023 A2: -6537527274188882393567894
  124. Thu Apr 27 10:07:54 2023 A3: 2845100149361187511
  125. Thu Apr 27 10:07:54 2023 A4: 2689983680646
  126. Thu Apr 27 10:07:54 2023 A5: 110352
  127. Thu Apr 27 10:07:54 2023 skew 3881691.63, size 3.424e-15, alpha -7.047, combined = 2.338e-12 rroots = 1
  128. Thu Apr 27 10:07:54 2023
  129. Thu Apr 27 10:07:54 2023 commencing linear algebra
  130. Thu Apr 27 10:07:54 2023 using VBITS=256
  131. Thu Apr 27 10:07:55 2023 read 4222045 cycles
  132. Thu Apr 27 10:08:10 2023 cycles contain 14300933 unique relations
  133. Thu Apr 27 10:09:36 2023 read 14300933 relations
  134. Thu Apr 27 10:09:40 2023 using 20 quadratic characters above 4294917295
  135. Thu Apr 27 10:09:51 2023 building initial matrix
  136. Thu Apr 27 10:16:05 2023 memory use: 1956.2 MB
  137. Thu Apr 27 10:16:09 2023 read 4222045 cycles
  138. Thu Apr 27 10:16:10 2023 matrix is 4221868 x 4222045 (1850.6 MB) with weight 575207542 (136.24/col)
  139. Thu Apr 27 10:16:10 2023 sparse part has weight 434467964 (102.90/col)
  140. Thu Apr 27 10:17:24 2023 filtering completed in 2 passes
  141. Thu Apr 27 10:17:25 2023 matrix is 4221699 x 4221876 (1850.6 MB) with weight 575198073 (136.24/col)
  142. Thu Apr 27 10:17:25 2023 sparse part has weight 434464660 (102.91/col)
  143. Thu Apr 27 10:17:46 2023 matrix starts at (0, 0)
  144. Thu Apr 27 10:17:47 2023 matrix is 4221699 x 4221876 (1850.6 MB) with weight 575198073 (136.24/col)
  145. Thu Apr 27 10:17:47 2023 sparse part has weight 434464660 (102.91/col)
  146. Thu Apr 27 10:17:47 2023 saving the first 240 matrix rows for later
  147. Thu Apr 27 10:17:48 2023 matrix includes 256 packed rows
  148. Thu Apr 27 10:17:49 2023 matrix is 4221459 x 4221876 (1674.1 MB) with weight 396459027 (93.91/col)
  149. Thu Apr 27 10:17:49 2023 sparse part has weight 371314106 (87.95/col)
  150. Thu Apr 27 10:17:49 2023 using block size 8192 and superblock size 878592 for processor cache size 36608 kB
  151. Thu Apr 27 10:17:58 2023 commencing Lanczos iteration (8 threads)
  152. Thu Apr 27 10:17:58 2023 memory use: 2342.9 MB
  153. Thu Apr 27 10:20:54 2023 linear algebra at 0.7%, ETA 6h39m
  154. Thu Apr 27 10:25:17 2023 checking every 10000 dimensions, checkpointing every 640000 dimensions
  155. Thu Apr 27 17:01:31 2023 lanczos halted after 16540 iterations (dim = 4221458)
  156. Thu Apr 27 17:01:49 2023 recovered 32 nontrivial dependencies
  157. Thu Apr 27 17:01:49 2023 BLanczosTime: 24835
  158. Thu Apr 27 17:01:49 2023
  159. Thu Apr 27 17:01:49 2023 commencing square root phase
  160. Thu Apr 27 17:01:49 2023 reading relations for dependency 1
  161. Thu Apr 27 17:01:49 2023 read 2109960 cycles
  162. Thu Apr 27 17:01:53 2023 cycles contain 7146296 unique relations
  163. Thu Apr 27 17:03:03 2023 read 7146296 relations
  164. Thu Apr 27 17:03:46 2023 multiplying 7146296 relations
  165. Thu Apr 27 17:10:12 2023 multiply complete, coefficients have about 382.13 million bits
  166. Thu Apr 27 17:10:15 2023 initial square root is modulo 7190263
  167. Thu Apr 27 17:15:29 2023 GCD is N, no factor found
  168. Thu Apr 27 17:15:29 2023 reading relations for dependency 2
  169. Thu Apr 27 17:15:30 2023 read 2112044 cycles
  170. Thu Apr 27 17:15:35 2023 cycles contain 7153484 unique relations
  171. Thu Apr 27 17:16:49 2023 read 7153484 relations
  172. Thu Apr 27 17:17:32 2023 multiplying 7153484 relations
  173. Thu Apr 27 17:23:34 2023 multiply complete, coefficients have about 382.52 million bits
  174. Thu Apr 27 17:23:36 2023 initial square root is modulo 7306961
  175. Thu Apr 27 17:28:44 2023 GCD is N, no factor found
  176. Thu Apr 27 17:28:44 2023 reading relations for dependency 3
  177. Thu Apr 27 17:28:45 2023 read 2111414 cycles
  178. Thu Apr 27 17:28:49 2023 cycles contain 7150932 unique relations
  179. Thu Apr 27 17:30:03 2023 read 7150932 relations
  180. Thu Apr 27 17:30:44 2023 multiplying 7150932 relations
  181. Thu Apr 27 17:36:42 2023 multiply complete, coefficients have about 382.39 million bits
  182. Thu Apr 27 17:36:44 2023 initial square root is modulo 7265243
  183. Thu Apr 27 17:41:51 2023 GCD is N, no factor found
  184. Thu Apr 27 17:41:51 2023 reading relations for dependency 4
  185. Thu Apr 27 17:41:51 2023 read 2111874 cycles
  186. Thu Apr 27 17:41:56 2023 cycles contain 7151718 unique relations
  187. Thu Apr 27 17:43:11 2023 read 7151718 relations
  188. Thu Apr 27 17:43:52 2023 multiplying 7151718 relations
  189. Thu Apr 27 17:49:49 2023 multiply complete, coefficients have about 382.42 million bits
  190. Thu Apr 27 17:49:51 2023 initial square root is modulo 7275739
  191. Thu Apr 27 17:54:58 2023 sqrtTime: 3189
  192. Thu Apr 27 17:54:58 2023 p55 factor: 1235445152184241507815460066036153205871851158456394683
  193. Thu Apr 27 17:54:58 2023 p102 factor: 675600489114635478033584827091741778262392645041586368683477058662114253572849074634953439485835619519
  194. Thu Apr 27 17:54:58 2023 elapsed time 07:47:05
  195.  
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