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Nov 12th, 2024
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  1. Mon Nov 11 07:52:09 2024
  2. Mon Nov 11 07:52:09 2024
  3. Mon Nov 11 07:52:09 2024 Msieve v. 1.54 (SVN unknown)
  4. Mon Nov 11 07:52:09 2024 random seeds: c76e975f 16aca67b
  5. Mon Nov 11 07:52:09 2024 factoring 130412664984889241914116503139013283470814774457889420345114096137618189644225310512658432915134481934880918228750135379445322287245640723477717382595278068442277939608081798574722072759352367791676396528930009879273196396947661501 (231 digits)
  6. Mon Nov 11 07:52:09 2024 no P-1/P+1/ECM available, skipping
  7. Mon Nov 11 07:52:09 2024 commencing number field sieve (231-digit input)
  8. Mon Nov 11 07:52:09 2024 R0: 531570371403233690475852734009046751127
  9. Mon Nov 11 07:52:09 2024 R1: -1
  10. Mon Nov 11 07:52:09 2024 A0: -1
  11. Mon Nov 11 07:52:09 2024 A1: 0
  12. Mon Nov 11 07:52:09 2024 A2: 0
  13. Mon Nov 11 07:52:09 2024 A3: 0
  14. Mon Nov 11 07:52:09 2024 A4: 0
  15. Mon Nov 11 07:52:09 2024 A5: 0
  16. Mon Nov 11 07:52:09 2024 A6: 340583
  17. Mon Nov 11 07:52:09 2024 skew 0.15, size 3.075e-12, alpha 1.358, combined = 2.802e-13 rroots = 2
  18. Mon Nov 11 07:52:09 2024
  19. Mon Nov 11 07:52:09 2024 commencing relation filtering
  20. Mon Nov 11 07:52:09 2024 setting target matrix density to 112.0
  21. Mon Nov 11 07:52:09 2024 estimated available RAM is 15954.4 MB
  22. Mon Nov 11 07:52:09 2024 commencing duplicate removal, pass 1
  23. Mon Nov 11 08:01:01 2024 error -11 reading relation 103189338
  24. Mon Nov 11 08:08:26 2024 skipped 1336 relations with b > 2^32
  25. Mon Nov 11 08:08:26 2024 skipped 3 relations with composite factors
  26. Mon Nov 11 08:08:26 2024 found 7761829 hash collisions in 187956239 relations
  27. Mon Nov 11 08:08:41 2024 added 1218694 free relations
  28. Mon Nov 11 08:08:41 2024 commencing duplicate removal, pass 2
  29. Mon Nov 11 08:09:42 2024 found 2 duplicates and 189174931 unique relations
  30. Mon Nov 11 08:09:42 2024 memory use: 522.4 MB
  31. Mon Nov 11 08:09:42 2024 reading ideals above 144375808
  32. Mon Nov 11 08:09:42 2024 commencing singleton removal, initial pass
  33. Mon Nov 11 08:20:53 2024 memory use: 3012.0 MB
  34. Mon Nov 11 08:20:53 2024 reading all ideals from disk
  35. Mon Nov 11 08:21:02 2024 memory use: 3386.9 MB
  36. Mon Nov 11 08:21:09 2024 commencing in-memory singleton removal
  37. Mon Nov 11 08:21:15 2024 begin with 189174931 relations and 160273828 unique ideals
  38. Mon Nov 11 08:22:31 2024 reduce to 120321481 relations and 84113340 ideals in 16 passes
  39. Mon Nov 11 08:22:31 2024 max relations containing the same ideal: 43
  40. Mon Nov 11 08:22:37 2024 reading ideals above 720000
  41. Mon Nov 11 08:22:37 2024 commencing singleton removal, initial pass
  42. Mon Nov 11 08:32:40 2024 memory use: 2756.0 MB
  43. Mon Nov 11 08:32:40 2024 reading all ideals from disk
  44. Mon Nov 11 08:32:51 2024 memory use: 4719.3 MB
  45. Mon Nov 11 08:33:03 2024 keeping 99801116 ideals with weight <= 200, target excess is 601275
  46. Mon Nov 11 08:33:15 2024 commencing in-memory singleton removal
  47. Mon Nov 11 08:33:25 2024 begin with 120321481 relations and 99801116 unique ideals
  48. Mon Nov 11 08:34:19 2024 reduce to 120318490 relations and 99798124 ideals in 6 passes
  49. Mon Nov 11 08:34:19 2024 max relations containing the same ideal: 200
  50. Mon Nov 11 08:35:02 2024 removing 11473771 relations and 9473771 ideals in 2000000 cliques
  51. Mon Nov 11 08:35:06 2024 commencing in-memory singleton removal
  52. Mon Nov 11 08:35:12 2024 begin with 108844719 relations and 99798124 unique ideals
  53. Mon Nov 11 08:36:01 2024 reduce to 107955718 relations and 89415744 ideals in 8 passes
  54. Mon Nov 11 08:36:01 2024 max relations containing the same ideal: 196
  55. Mon Nov 11 08:36:36 2024 removing 8737320 relations and 6737320 ideals in 2000000 cliques
  56. Mon Nov 11 08:36:40 2024 commencing in-memory singleton removal
  57. Mon Nov 11 08:36:46 2024 begin with 99218398 relations and 89415744 unique ideals
  58. Mon Nov 11 08:37:30 2024 reduce to 98633875 relations and 82082635 ideals in 8 passes
  59. Mon Nov 11 08:37:30 2024 max relations containing the same ideal: 185
  60. Mon Nov 11 08:38:02 2024 removing 7910507 relations and 5910507 ideals in 2000000 cliques
  61. Mon Nov 11 08:38:05 2024 commencing in-memory singleton removal
  62. Mon Nov 11 08:38:10 2024 begin with 90723368 relations and 82082635 unique ideals
  63. Mon Nov 11 08:38:55 2024 reduce to 90207443 relations and 75646104 ideals in 9 passes
  64. Mon Nov 11 08:38:55 2024 max relations containing the same ideal: 177
  65. Mon Nov 11 08:39:25 2024 removing 7498923 relations and 5498923 ideals in 2000000 cliques
  66. Mon Nov 11 08:39:28 2024 commencing in-memory singleton removal
  67. Mon Nov 11 08:39:33 2024 begin with 82708520 relations and 75646104 unique ideals
  68. Mon Nov 11 08:40:09 2024 reduce to 82215469 relations and 69644044 ideals in 8 passes
  69. Mon Nov 11 08:40:09 2024 max relations containing the same ideal: 166
  70. Mon Nov 11 08:40:37 2024 removing 7241269 relations and 5241269 ideals in 2000000 cliques
  71. Mon Nov 11 08:40:39 2024 commencing in-memory singleton removal
  72. Mon Nov 11 08:40:44 2024 begin with 74974200 relations and 69644044 unique ideals
  73. Mon Nov 11 08:41:13 2024 reduce to 74485949 relations and 63903787 ideals in 7 passes
  74. Mon Nov 11 08:41:13 2024 max relations containing the same ideal: 160
  75. Mon Nov 11 08:41:38 2024 removing 7069952 relations and 5069952 ideals in 2000000 cliques
  76. Mon Nov 11 08:41:40 2024 commencing in-memory singleton removal
  77. Mon Nov 11 08:41:44 2024 begin with 67415997 relations and 63903787 unique ideals
  78. Mon Nov 11 08:42:10 2024 reduce to 66914836 relations and 58320766 ideals in 7 passes
  79. Mon Nov 11 08:42:10 2024 max relations containing the same ideal: 145
  80. Mon Nov 11 08:42:33 2024 removing 6956244 relations and 4956244 ideals in 2000000 cliques
  81. Mon Nov 11 08:42:35 2024 commencing in-memory singleton removal
  82. Mon Nov 11 08:42:39 2024 begin with 59958592 relations and 58320766 unique ideals
  83. Mon Nov 11 08:43:01 2024 reduce to 59437128 relations and 52829377 ideals in 7 passes
  84. Mon Nov 11 08:43:01 2024 max relations containing the same ideal: 134
  85. Mon Nov 11 08:43:21 2024 removing 6870732 relations and 4870732 ideals in 2000000 cliques
  86. Mon Nov 11 08:43:24 2024 commencing in-memory singleton removal
  87. Mon Nov 11 08:43:27 2024 begin with 52566396 relations and 52829377 unique ideals
  88. Mon Nov 11 08:43:47 2024 reduce to 52004956 relations and 47380618 ideals in 7 passes
  89. Mon Nov 11 08:43:47 2024 max relations containing the same ideal: 125
  90. Mon Nov 11 08:44:04 2024 removing 6813957 relations and 4813957 ideals in 2000000 cliques
  91. Mon Nov 11 08:44:06 2024 commencing in-memory singleton removal
  92. Mon Nov 11 08:44:09 2024 begin with 45190999 relations and 47380618 unique ideals
  93. Mon Nov 11 08:44:28 2024 reduce to 44565124 relations and 41919798 ideals in 8 passes
  94. Mon Nov 11 08:44:28 2024 max relations containing the same ideal: 113
  95. Mon Nov 11 08:44:44 2024 removing 6643657 relations and 4695811 ideals in 1947846 cliques
  96. Mon Nov 11 08:44:46 2024 commencing in-memory singleton removal
  97. Mon Nov 11 08:44:48 2024 begin with 37921467 relations and 41919798 unique ideals
  98. Mon Nov 11 08:45:04 2024 reduce to 37217802 relations and 36494032 ideals in 8 passes
  99. Mon Nov 11 08:45:04 2024 max relations containing the same ideal: 100
  100. Mon Nov 11 08:45:17 2024 removing 189883 relations and 163593 ideals in 26290 cliques
  101. Mon Nov 11 08:45:18 2024 commencing in-memory singleton removal
  102. Mon Nov 11 08:45:20 2024 begin with 37027919 relations and 36494032 unique ideals
  103. Mon Nov 11 08:45:30 2024 reduce to 37027306 relations and 36329826 ideals in 5 passes
  104. Mon Nov 11 08:45:30 2024 max relations containing the same ideal: 100
  105. Mon Nov 11 08:45:36 2024 relations with 0 large ideals: 21916
  106. Mon Nov 11 08:45:36 2024 relations with 1 large ideals: 10108
  107. Mon Nov 11 08:45:36 2024 relations with 2 large ideals: 109100
  108. Mon Nov 11 08:45:36 2024 relations with 3 large ideals: 766203
  109. Mon Nov 11 08:45:36 2024 relations with 4 large ideals: 2937670
  110. Mon Nov 11 08:45:36 2024 relations with 5 large ideals: 6738146
  111. Mon Nov 11 08:45:36 2024 relations with 6 large ideals: 9683850
  112. Mon Nov 11 08:45:36 2024 relations with 7+ large ideals: 16760313
  113. Mon Nov 11 08:45:36 2024 commencing 2-way merge
  114. Mon Nov 11 08:45:53 2024 reduce to 24359072 relation sets and 23661592 unique ideals
  115. Mon Nov 11 08:45:53 2024 commencing full merge
  116. Mon Nov 11 08:53:06 2024 memory use: 3083.1 MB
  117. Mon Nov 11 08:53:08 2024 found 11249671 cycles, need 11207792
  118. Mon Nov 11 08:53:11 2024 weight of 11207792 cycles is about 1255300688 (112.00/cycle)
  119. Mon Nov 11 08:53:11 2024 distribution of cycle lengths:
  120. Mon Nov 11 08:53:11 2024 1 relations: 557117
  121. Mon Nov 11 08:53:11 2024 2 relations: 766877
  122. Mon Nov 11 08:53:11 2024 3 relations: 881744
  123. Mon Nov 11 08:53:11 2024 4 relations: 903207
  124. Mon Nov 11 08:53:11 2024 5 relations: 907257
  125. Mon Nov 11 08:53:12 2024 6 relations: 885370
  126. Mon Nov 11 08:53:12 2024 7 relations: 844894
  127. Mon Nov 11 08:53:12 2024 8 relations: 792719
  128. Mon Nov 11 08:53:12 2024 9 relations: 726938
  129. Mon Nov 11 08:53:12 2024 10+ relations: 3941669
  130. Mon Nov 11 08:53:12 2024 heaviest cycle: 28 relations
  131. Mon Nov 11 08:53:15 2024 commencing cycle optimization
  132. Mon Nov 11 08:53:32 2024 start with 92366764 relations
  133. Mon Nov 11 08:56:15 2024 pruned 3963556 relations
  134. Mon Nov 11 08:56:15 2024 memory use: 2492.7 MB
  135. Mon Nov 11 08:56:15 2024 distribution of cycle lengths:
  136. Mon Nov 11 08:56:15 2024 1 relations: 557117
  137. Mon Nov 11 08:56:15 2024 2 relations: 786287
  138. Mon Nov 11 08:56:15 2024 3 relations: 919816
  139. Mon Nov 11 08:56:15 2024 4 relations: 940278
  140. Mon Nov 11 08:56:15 2024 5 relations: 951370
  141. Mon Nov 11 08:56:15 2024 6 relations: 924861
  142. Mon Nov 11 08:56:15 2024 7 relations: 884376
  143. Mon Nov 11 08:56:15 2024 8 relations: 825635
  144. Mon Nov 11 08:56:15 2024 9 relations: 750895
  145. Mon Nov 11 08:56:15 2024 10+ relations: 3667157
  146. Mon Nov 11 08:56:15 2024 heaviest cycle: 28 relations
  147. Mon Nov 11 08:56:34 2024 RelProcTime: 3865
  148. Mon Nov 11 08:56:34 2024
  149. Mon Nov 11 08:56:34 2024 commencing linear algebra
  150. Mon Nov 11 08:56:34 2024 using VBITS=256
  151. Mon Nov 11 08:56:35 2024 read 11207792 cycles
  152. Mon Nov 11 08:56:54 2024 cycles contain 36626190 unique relations
  153. Mon Nov 11 08:58:38 2024 read 36626190 relations
  154. Mon Nov 11 08:59:26 2024 using 20 quadratic characters above 4294917295
  155. Mon Nov 11 09:01:48 2024 building initial matrix
  156. Mon Nov 11 09:08:22 2024 memory use: 4711.7 MB
  157. Mon Nov 11 09:08:26 2024 read 11207792 cycles
  158. Mon Nov 11 09:08:27 2024 matrix is 11207615 x 11207792 (4953.1 MB) with weight 1420799826 (126.77/col)
  159. Mon Nov 11 09:08:27 2024 sparse part has weight 1175139923 (104.85/col)
  160. Mon Nov 11 09:10:31 2024 filtering completed in 2 passes
  161. Mon Nov 11 09:10:33 2024 matrix is 11207278 x 11207446 (4953.1 MB) with weight 1420787362 (126.77/col)
  162. Mon Nov 11 09:10:33 2024 sparse part has weight 1175135065 (104.85/col)
  163. Mon Nov 11 09:11:03 2024 matrix starts at (0, 0)
  164. Mon Nov 11 09:11:05 2024 matrix is 11207278 x 11207446 (4953.1 MB) with weight 1420787362 (126.77/col)
  165. Mon Nov 11 09:11:05 2024 sparse part has weight 1175135065 (104.85/col)
  166. Mon Nov 11 09:11:05 2024 saving the first 240 matrix rows for later
  167. Mon Nov 11 09:11:07 2024 matrix includes 256 packed rows
  168. Mon Nov 11 09:11:11 2024 matrix is 11207038 x 11207446 (4506.4 MB) with weight 1063204921 (94.87/col)
  169. Mon Nov 11 09:11:11 2024 sparse part has weight 1002006620 (89.41/col)
  170. Mon Nov 11 09:11:11 2024 using GPU 0 (NVIDIA GeForce RTX 3060)
  171. Mon Nov 11 09:11:11 2024 selected card has CUDA arch 8.6
  172. Mon Nov 11 09:12:20 2024 commencing Lanczos iteration
  173. Mon Nov 11 09:12:21 2024 memory use: 10808.4 MB
  174. Mon Nov 11 09:13:06 2024 linear algebra at 0.1%, ETA 17h53m
  175. Mon Nov 11 09:13:08 2024 checkpointing every 620000 dimensions
  176. Mon Nov 11 17:40:36 2024 lanczos halted after 43909 iterations (dim = 11207038)
  177. Mon Nov 11 17:41:11 2024 recovered 37 nontrivial dependencies
  178. Mon Nov 11 17:41:11 2024 BLanczosTime: 31477
  179. Mon Nov 11 17:41:11 2024
  180. Mon Nov 11 17:41:11 2024 commencing square root phase
  181. Mon Nov 11 17:41:11 2024 handling dependencies 1 to 64
  182. Mon Nov 11 17:41:11 2024 reading relations for dependency 1
  183. Mon Nov 11 17:41:15 2024 read 5603422 cycles
  184. Mon Nov 11 17:41:24 2024 cycles contain 18314186 unique relations
  185. Mon Nov 11 17:42:31 2024 read 18314186 relations
  186. Mon Nov 11 17:43:39 2024 multiplying 18314186 relations
  187. Mon Nov 11 18:00:10 2024 multiply complete, coefficients have about 765.68 million bits
  188. Mon Nov 11 18:00:12 2024 initial square root is modulo 7401367
  189. Mon Nov 11 18:18:58 2024 found factor: 3704235935470123232916663992853170332282821559475135335791892682858650866178451065324522049988505375066519
  190. Mon Nov 11 18:18:58 2024 reading relations for dependency 2
  191. Mon Nov 11 18:19:00 2024 read 5599740 cycles
  192. Mon Nov 11 18:19:08 2024 cycles contain 18302350 unique relations
  193. Mon Nov 11 18:20:12 2024 read 18302350 relations
  194. Mon Nov 11 18:21:20 2024 multiplying 18302350 relations
  195. Mon Nov 11 18:37:58 2024 multiply complete, coefficients have about 765.19 million bits
  196. Mon Nov 11 18:38:00 2024 initial square root is modulo 7326271
  197. Mon Nov 11 18:56:44 2024 GCD is 1, no factor found
  198. Mon Nov 11 18:56:44 2024 reading relations for dependency 3
  199. Mon Nov 11 18:56:45 2024 read 5606061 cycles
  200. Mon Nov 11 18:56:53 2024 cycles contain 18320948 unique relations
  201. Mon Nov 11 18:57:58 2024 read 18320948 relations
  202. Mon Nov 11 18:59:06 2024 multiplying 18320948 relations
  203. Mon Nov 11 19:15:30 2024 multiply complete, coefficients have about 765.96 million bits
  204. Mon Nov 11 19:15:32 2024 initial square root is modulo 7443949
  205. Mon Nov 11 19:34:12 2024 found factor: 3704235935470123232916663992853170332282821559475135335791892682858650866178451065324522049988505375066519
  206. Mon Nov 11 19:34:12 2024 reading relations for dependency 4
  207. Mon Nov 11 19:34:13 2024 read 5604170 cycles
  208. Mon Nov 11 19:34:21 2024 cycles contain 18314156 unique relations
  209. Mon Nov 11 19:35:25 2024 read 18314156 relations
  210. Mon Nov 11 19:36:33 2024 multiplying 18314156 relations
  211. Mon Nov 11 19:52:58 2024 multiply complete, coefficients have about 765.68 million bits
  212. Mon Nov 11 19:53:00 2024 initial square root is modulo 7402051
  213. Mon Nov 11 20:11:35 2024 sqrtTime: 9024
  214. Mon Nov 11 20:11:35 2024 p50 factor: 11479387614981425665637554041304760159878940229431
  215. Mon Nov 11 20:11:35 2024 p76 factor: 3066919724469756452664046664548984612044789997484760054438239466517391037709
  216. Mon Nov 11 20:11:35 2024 p106 factor: 3704235935470123232916663992853170332282821559475135335791892682858650866178451065324522049988505375066519
  217. Mon Nov 11 20:11:35 2024 elapsed time 12:19:26
  218.  
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