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Jun 5th, 2025
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  1. Thu Jun 5 00:08:03 2025
  2. Thu Jun 5 00:08:03 2025
  3. Thu Jun 5 00:08:03 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Jun 5 00:08:03 2025 random seeds: 189d3862 e383ec5c
  5. Thu Jun 5 00:08:03 2025 MPI process 0 of 1
  6. Thu Jun 5 00:08:03 2025 Using 64 OpenMP threads
  7. Thu Jun 5 00:08:03 2025 factoring 11346659373460278735606735093296177972688283823779119961419886951360678605048795511003344746580393229355380563095611600559540088495771541685464898620056582991217383297 (167 digits)
  8. Thu Jun 5 00:08:04 2025 searching for 15-digit factors
  9. Thu Jun 5 00:08:04 2025 commencing number field sieve (167-digit input)
  10. Thu Jun 5 00:08:04 2025 reversing signs of algebraic polynomial
  11. Thu Jun 5 00:08:04 2025 R0: -226795317231773995050850749021114
  12. Thu Jun 5 00:08:04 2025 R1: 3345002151091556554787
  13. Thu Jun 5 00:08:04 2025 A0: 1469873043676697908059637988250841497580
  14. Thu Jun 5 00:08:04 2025 A1: -466009495803961423849488009302237
  15. Thu Jun 5 00:08:04 2025 A2: -176826349932925346641619466
  16. Thu Jun 5 00:08:04 2025 A3: 17387283949318760645
  17. Thu Jun 5 00:08:04 2025 A4: 1391624499710
  18. Thu Jun 5 00:08:04 2025 A5: 37800
  19. Thu Jun 5 00:08:04 2025 skew 9877664.13, size 4.300e-16, alpha -6.608, combined = 7.098e-13 rroots = 3
  20. Thu Jun 5 00:08:04 2025
  21. Thu Jun 5 00:08:04 2025 commencing relation filtering
  22. Thu Jun 5 00:08:04 2025 setting target matrix density to 120.0
  23. Thu Jun 5 00:08:04 2025 reversing signs of algebraic polynomial
  24. Thu Jun 5 00:08:04 2025 estimated available RAM is 257736.5 MB
  25. Thu Jun 5 00:08:04 2025 commencing duplicate removal, pass 1
  26. Thu Jun 5 00:17:24 2025 skipped 138 malformed relations
  27. Thu Jun 5 00:17:24 2025 found 48284713 hash collisions in 257524533 relations
  28. Thu Jun 5 00:17:53 2025 added 121904 free relations
  29. Thu Jun 5 00:17:53 2025 commencing duplicate removal, pass 2
  30. Thu Jun 5 00:25:16 2025 found 46270793 duplicates and 211375644 unique relations
  31. Thu Jun 5 00:25:16 2025 memory use: 1449.5 MB
  32. Thu Jun 5 00:25:16 2025 reading ideals above 720000
  33. Thu Jun 5 00:25:16 2025 commencing singleton removal, initial pass
  34. Thu Jun 5 00:44:19 2025 memory use: 6024.0 MB
  35. Thu Jun 5 00:44:20 2025 reading all ideals from disk
  36. Thu Jun 5 00:44:26 2025 memory use: 9698.1 MB
  37. Thu Jun 5 00:45:07 2025 keeping 217485587 ideals with weight <= 200, target excess is 1027824
  38. Thu Jun 5 00:45:52 2025 commencing in-memory singleton removal
  39. Thu Jun 5 00:45:54 2025 begin with 211375644 relations and 217485587 unique ideals
  40. Thu Jun 5 00:46:07 2025 reduce to 97311959 relations and 86862618 ideals in 18 passes
  41. Thu Jun 5 00:46:07 2025 max relations containing the same ideal: 126
  42. Thu Jun 5 00:46:51 2025 removing 8530079 relations and 7530079 ideals in 1000000 cliques
  43. Thu Jun 5 00:46:55 2025 commencing in-memory singleton removal
  44. Thu Jun 5 00:46:56 2025 begin with 88781880 relations and 86862618 unique ideals
  45. Thu Jun 5 00:47:00 2025 reduce to 88168728 relations and 78710677 ideals in 11 passes
  46. Thu Jun 5 00:47:00 2025 max relations containing the same ideal: 120
  47. Thu Jun 5 00:47:53 2025 removing 6367740 relations and 5367740 ideals in 1000000 cliques
  48. Thu Jun 5 00:47:57 2025 commencing in-memory singleton removal
  49. Thu Jun 5 00:47:59 2025 begin with 81800988 relations and 78710677 unique ideals
  50. Thu Jun 5 00:48:05 2025 reduce to 81406824 relations and 72943952 ideals in 9 passes
  51. Thu Jun 5 00:48:05 2025 max relations containing the same ideal: 112
  52. Thu Jun 5 00:49:01 2025 removing 5705211 relations and 4705211 ideals in 1000000 cliques
  53. Thu Jun 5 00:49:05 2025 commencing in-memory singleton removal
  54. Thu Jun 5 00:49:06 2025 begin with 75701613 relations and 72943952 unique ideals
  55. Thu Jun 5 00:49:11 2025 reduce to 75356749 relations and 67889687 ideals in 9 passes
  56. Thu Jun 5 00:49:11 2025 max relations containing the same ideal: 105
  57. Thu Jun 5 00:50:01 2025 removing 5364283 relations and 4364283 ideals in 1000000 cliques
  58. Thu Jun 5 00:50:04 2025 commencing in-memory singleton removal
  59. Thu Jun 5 00:50:06 2025 begin with 69992466 relations and 67889687 unique ideals
  60. Thu Jun 5 00:50:10 2025 reduce to 69660908 relations and 63189643 ideals in 8 passes
  61. Thu Jun 5 00:50:10 2025 max relations containing the same ideal: 101
  62. Thu Jun 5 00:50:52 2025 removing 5155762 relations and 4155762 ideals in 1000000 cliques
  63. Thu Jun 5 00:50:55 2025 commencing in-memory singleton removal
  64. Thu Jun 5 00:50:56 2025 begin with 64505146 relations and 63189643 unique ideals
  65. Thu Jun 5 00:51:01 2025 reduce to 64174643 relations and 58698973 ideals in 11 passes
  66. Thu Jun 5 00:51:01 2025 max relations containing the same ideal: 93
  67. Thu Jun 5 00:51:41 2025 removing 5028280 relations and 4028280 ideals in 1000000 cliques
  68. Thu Jun 5 00:51:44 2025 commencing in-memory singleton removal
  69. Thu Jun 5 00:51:45 2025 begin with 59146363 relations and 58698973 unique ideals
  70. Thu Jun 5 00:51:48 2025 reduce to 58801258 relations and 54320777 ideals in 8 passes
  71. Thu Jun 5 00:51:48 2025 max relations containing the same ideal: 88
  72. Thu Jun 5 00:52:23 2025 removing 4957085 relations and 3957085 ideals in 1000000 cliques
  73. Thu Jun 5 00:52:26 2025 commencing in-memory singleton removal
  74. Thu Jun 5 00:52:27 2025 begin with 53844173 relations and 54320777 unique ideals
  75. Thu Jun 5 00:52:30 2025 reduce to 53475851 relations and 49989825 ideals in 9 passes
  76. Thu Jun 5 00:52:30 2025 max relations containing the same ideal: 83
  77. Thu Jun 5 00:53:03 2025 removing 4931414 relations and 3931414 ideals in 1000000 cliques
  78. Thu Jun 5 00:53:06 2025 commencing in-memory singleton removal
  79. Thu Jun 5 00:53:07 2025 begin with 48544437 relations and 49989825 unique ideals
  80. Thu Jun 5 00:53:10 2025 reduce to 48141838 relations and 45649142 ideals in 10 passes
  81. Thu Jun 5 00:53:10 2025 max relations containing the same ideal: 81
  82. Thu Jun 5 00:53:41 2025 removing 4943485 relations and 3943485 ideals in 1000000 cliques
  83. Thu Jun 5 00:53:44 2025 commencing in-memory singleton removal
  84. Thu Jun 5 00:53:44 2025 begin with 43198353 relations and 45649142 unique ideals
  85. Thu Jun 5 00:53:47 2025 reduce to 42739054 relations and 41237951 ideals in 9 passes
  86. Thu Jun 5 00:53:47 2025 max relations containing the same ideal: 73
  87. Thu Jun 5 00:54:14 2025 removing 1989660 relations and 1680833 ideals in 308827 cliques
  88. Thu Jun 5 00:54:16 2025 commencing in-memory singleton removal
  89. Thu Jun 5 00:54:17 2025 begin with 40749394 relations and 41237951 unique ideals
  90. Thu Jun 5 00:54:19 2025 reduce to 40674325 relations and 39481521 ideals in 11 passes
  91. Thu Jun 5 00:54:19 2025 max relations containing the same ideal: 71
  92. Thu Jun 5 00:54:52 2025 relations with 0 large ideals: 3827
  93. Thu Jun 5 00:54:52 2025 relations with 1 large ideals: 28296
  94. Thu Jun 5 00:54:52 2025 relations with 2 large ideals: 377337
  95. Thu Jun 5 00:54:52 2025 relations with 3 large ideals: 2108891
  96. Thu Jun 5 00:54:52 2025 relations with 4 large ideals: 6252994
  97. Thu Jun 5 00:54:52 2025 relations with 5 large ideals: 10793578
  98. Thu Jun 5 00:54:52 2025 relations with 6 large ideals: 11208805
  99. Thu Jun 5 00:54:52 2025 relations with 7+ large ideals: 9900597
  100. Thu Jun 5 00:54:52 2025 commencing 2-way merge
  101. Thu Jun 5 00:55:27 2025 reduce to 23849480 relation sets and 22656676 unique ideals
  102. Thu Jun 5 00:55:27 2025 commencing full merge
  103. Thu Jun 5 01:05:10 2025 memory use: 2581.4 MB
  104. Thu Jun 5 01:05:14 2025 found 10124853 cycles, need 10098876
  105. Thu Jun 5 01:05:19 2025 weight of 10098876 cycles is about 1212067595 (120.02/cycle)
  106. Thu Jun 5 01:05:19 2025 distribution of cycle lengths:
  107. Thu Jun 5 01:05:19 2025 1 relations: 860713
  108. Thu Jun 5 01:05:19 2025 2 relations: 711073
  109. Thu Jun 5 01:05:19 2025 3 relations: 704115
  110. Thu Jun 5 01:05:19 2025 4 relations: 675614
  111. Thu Jun 5 01:05:19 2025 5 relations: 668900
  112. Thu Jun 5 01:05:19 2025 6 relations: 635935
  113. Thu Jun 5 01:05:19 2025 7 relations: 611124
  114. Thu Jun 5 01:05:19 2025 8 relations: 579491
  115. Thu Jun 5 01:05:19 2025 9 relations: 551219
  116. Thu Jun 5 01:05:19 2025 10+ relations: 4100692
  117. Thu Jun 5 01:05:19 2025 heaviest cycle: 28 relations
  118. Thu Jun 5 01:05:23 2025 commencing cycle optimization
  119. Thu Jun 5 01:05:58 2025 start with 90336833 relations
  120. Thu Jun 5 01:10:06 2025 pruned 3201704 relations
  121. Thu Jun 5 01:10:06 2025 memory use: 2560.9 MB
  122. Thu Jun 5 01:10:06 2025 distribution of cycle lengths:
  123. Thu Jun 5 01:10:06 2025 1 relations: 860713
  124. Thu Jun 5 01:10:06 2025 2 relations: 728894
  125. Thu Jun 5 01:10:06 2025 3 relations: 730151
  126. Thu Jun 5 01:10:06 2025 4 relations: 697506
  127. Thu Jun 5 01:10:06 2025 5 relations: 693609
  128. Thu Jun 5 01:10:06 2025 6 relations: 657459
  129. Thu Jun 5 01:10:06 2025 7 relations: 632335
  130. Thu Jun 5 01:10:06 2025 8 relations: 597606
  131. Thu Jun 5 01:10:06 2025 9 relations: 567473
  132. Thu Jun 5 01:10:06 2025 10+ relations: 3933130
  133. Thu Jun 5 01:10:06 2025 heaviest cycle: 28 relations
  134. Thu Jun 5 01:10:36 2025 RelProcTime: 3752
  135. Thu Jun 5 01:10:36 2025
  136. Thu Jun 5 01:10:36 2025 commencing linear algebra
  137. Thu Jun 5 01:10:36 2025 using VBITS=256
  138. Thu Jun 5 01:10:36 2025 skipping matrix build
  139. Thu Jun 5 01:10:36 2025 initialized process (0,0) of 1 x 1 grid
  140. Thu Jun 5 01:18:18 2025
  141. Thu Jun 5 01:18:18 2025
  142. Thu Jun 5 01:18:18 2025 Msieve v. 1.54 (SVN Unversioned directory)
  143. Thu Jun 5 01:18:18 2025 random seeds: 12553d65 f0ee22f7
  144. Thu Jun 5 01:18:18 2025 MPI process 0 of 1
  145. Thu Jun 5 01:18:18 2025 Using 64 OpenMP threads
  146. Thu Jun 5 01:18:18 2025 factoring 11346659373460278735606735093296177972688283823779119961419886951360678605048795511003344746580393229355380563095611600559540088495771541685464898620056582991217383297 (167 digits)
  147. Thu Jun 5 01:18:18 2025 searching for 15-digit factors
  148. Thu Jun 5 01:18:18 2025 commencing number field sieve (167-digit input)
  149. Thu Jun 5 01:18:18 2025 reversing signs of algebraic polynomial
  150. Thu Jun 5 01:18:18 2025 R0: -226795317231773995050850749021114
  151. Thu Jun 5 01:18:18 2025 R1: 3345002151091556554787
  152. Thu Jun 5 01:18:18 2025 A0: 1469873043676697908059637988250841497580
  153. Thu Jun 5 01:18:18 2025 A1: -466009495803961423849488009302237
  154. Thu Jun 5 01:18:18 2025 A2: -176826349932925346641619466
  155. Thu Jun 5 01:18:18 2025 A3: 17387283949318760645
  156. Thu Jun 5 01:18:18 2025 A4: 1391624499710
  157. Thu Jun 5 01:18:18 2025 A5: 37800
  158. Thu Jun 5 01:18:18 2025 skew 9877664.13, size 4.300e-16, alpha -6.608, combined = 7.098e-13 rroots = 3
  159. Thu Jun 5 01:18:18 2025
  160. Thu Jun 5 01:18:18 2025 commencing linear algebra
  161. Thu Jun 5 01:18:18 2025 using VBITS=256
  162. Thu Jun 5 01:18:18 2025 stopping after matrix build
  163. Thu Jun 5 01:18:18 2025 initialized process (0,0) of 1 x 1 grid
  164. Thu Jun 5 01:18:18 2025 reversing signs of algebraic polynomial
  165. Thu Jun 5 01:18:19 2025 read 10098876 cycles
  166. Thu Jun 5 01:21:05 2025 cycles contain 39770727 unique relations
  167. Thu Jun 5 01:26:03 2025 read 39770727 relations
  168. Thu Jun 5 01:26:07 2025 using 20 quadratic characters above 4294917295
  169. Thu Jun 5 01:26:13 2025 building initial matrix
  170. Thu Jun 5 01:37:14 2025 memory use: 5185.4 MB
  171. Thu Jun 5 01:37:22 2025 read 10098876 cycles
  172. Thu Jun 5 01:37:24 2025 matrix is 10098697 x 10098876 (4754.8 MB) with weight 1434212275 (142.02/col)
  173. Thu Jun 5 01:37:24 2025 sparse part has weight 1135365258 (112.42/col)
  174. Thu Jun 5 01:39:19 2025 filtering completed in 2 passes
  175. Thu Jun 5 01:39:20 2025 matrix is 10097951 x 10098130 (4754.8 MB) with weight 1434176068 (142.02/col)
  176. Thu Jun 5 01:39:20 2025 sparse part has weight 1135353348 (112.43/col)
  177. Thu Jun 5 01:40:15 2025 BLanczosTime: 1317
  178. Thu Jun 5 01:40:15 2025 elapsed time 00:21:57
  179. Thu Jun 5 02:14:05 2025
  180. Thu Jun 5 02:14:05 2025
  181. Thu Jun 5 02:14:05 2025 Msieve v. 1.54 (SVN Unversioned directory)
  182. Thu Jun 5 02:14:05 2025 random seeds: 7aab2443 bc34cd32
  183. Thu Jun 5 02:14:05 2025 Using 96 OpenMP threads
  184. Thu Jun 5 02:14:05 2025 factoring 11346659373460278735606735093296177972688283823779119961419886951360678605048795511003344746580393229355380563095611600559540088495771541685464898620056582991217383297 (167 digits)
  185. Thu Jun 5 02:14:06 2025 searching for 15-digit factors
  186. Thu Jun 5 02:14:06 2025 commencing number field sieve (167-digit input)
  187. Thu Jun 5 02:14:06 2025 reversing signs of algebraic polynomial
  188. Thu Jun 5 02:14:06 2025 R0: -226795317231773995050850749021114
  189. Thu Jun 5 02:14:06 2025 R1: 3345002151091556554787
  190. Thu Jun 5 02:14:06 2025 A0: 1469873043676697908059637988250841497580
  191. Thu Jun 5 02:14:06 2025 A1: -466009495803961423849488009302237
  192. Thu Jun 5 02:14:06 2025 A2: -176826349932925346641619466
  193. Thu Jun 5 02:14:06 2025 A3: 17387283949318760645
  194. Thu Jun 5 02:14:06 2025 A4: 1391624499710
  195. Thu Jun 5 02:14:06 2025 A5: 37800
  196. Thu Jun 5 02:14:06 2025 skew 9877664.13, size 4.300e-16, alpha -6.608, combined = 7.098e-13 rroots = 3
  197. Thu Jun 5 02:14:06 2025
  198. Thu Jun 5 02:14:06 2025 commencing linear algebra
  199. Thu Jun 5 02:14:06 2025 using VBITS=256
  200. Thu Jun 5 02:14:06 2025 skipping matrix build
  201. Thu Jun 5 02:14:10 2025 matrix starts at (0, 0)
  202. Thu Jun 5 02:14:11 2025 matrix is 10097951 x 10098130 (4754.8 MB) with weight 1434176068 (142.02/col)
  203. Thu Jun 5 02:14:11 2025 sparse part has weight 1135353348 (112.43/col)
  204. Thu Jun 5 02:14:11 2025 saving the first 240 matrix rows for later
  205. Thu Jun 5 02:14:13 2025 matrix includes 256 packed rows
  206. Thu Jun 5 02:14:16 2025 matrix is 10097711 x 10098130 (4334.5 MB) with weight 1035776595 (102.57/col)
  207. Thu Jun 5 02:14:16 2025 sparse part has weight 974684094 (96.52/col)
  208. Thu Jun 5 02:14:16 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  209. Thu Jun 5 02:14:36 2025 commencing Lanczos iteration (96 threads)
  210. Thu Jun 5 02:14:36 2025 memory use: 5948.9 MB
  211. Thu Jun 5 02:15:48 2025 linear algebra at 0.3%, ETA 6h23m
  212. Thu Jun 5 02:17:32 2025 checking every 20000 dimensions, checkpointing every 1600000 dimensions
  213. Thu Jun 5 08:28:02 2025 lanczos halted after 39564 iterations (dim = 10097711)
  214. Thu Jun 5 08:28:36 2025 recovered 28 nontrivial dependencies
  215. Thu Jun 5 08:28:38 2025 BLanczosTime: 22472
  216. Thu Jun 5 08:28:38 2025
  217. Thu Jun 5 08:28:38 2025 commencing square root phase
  218. Thu Jun 5 08:28:38 2025 reversing signs of algebraic polynomial
  219. Thu Jun 5 08:28:38 2025 handling dependencies 1 to 64
  220. Thu Jun 5 08:28:38 2025 reading relations for dependency 1
  221. Thu Jun 5 08:28:40 2025 read 5048661 cycles
  222. Thu Jun 5 08:28:58 2025 cycles contain 19879516 unique relations
  223. Thu Jun 5 08:34:19 2025 read 19879516 relations
  224. Thu Jun 5 08:36:13 2025 multiplying 19879516 relations
  225. Thu Jun 5 08:51:46 2025 multiply complete, coefficients have about 1037.05 million bits
  226. Thu Jun 5 08:51:52 2025 initial square root is modulo 2013105389
  227. Thu Jun 5 09:03:02 2025 sqrtTime: 2064
  228. Thu Jun 5 09:03:02 2025 p59 factor: 83115398260818064910558216182641821325301472747866936813481
  229. Thu Jun 5 09:03:02 2025 p108 factor: 136516934417545544007392257106178527735338775730403460755304268105139539921881131405844498167485577625024537
  230. Thu Jun 5 09:03:02 2025 elapsed time 06:48:57
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