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Jan 28th, 2025
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  1. Mon Jan 27 21:41:17 2025
  2. Mon Jan 27 21:41:17 2025
  3. Mon Jan 27 21:41:17 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Jan 27 21:41:17 2025 random seeds: a0aa44ce c01c3341
  5. Mon Jan 27 21:41:17 2025 MPI process 0 of 1
  6. Mon Jan 27 21:41:17 2025 Using 32 OpenMP threads
  7. Mon Jan 27 21:41:17 2025 factoring 507216017314857693865873203589874195142100965736501629847155597470846746601292478890500277296581053686265545813608525742381881802156140006946010980862715504354483 (162 digits)
  8. Mon Jan 27 21:41:17 2025 searching for 15-digit factors
  9. Mon Jan 27 21:41:18 2025 commencing number field sieve (162-digit input)
  10. Mon Jan 27 21:41:18 2025 R0: -17653830148996720094864278750849
  11. Mon Jan 27 21:41:18 2025 R1: 103615481926571837
  12. Mon Jan 27 21:41:18 2025 A0: -14257271039759397369807356351890533024
  13. Mon Jan 27 21:41:18 2025 A1: -71497519031544450540752287670352
  14. Mon Jan 27 21:41:18 2025 A2: 106604865611152191926658854
  15. Mon Jan 27 21:41:18 2025 A3: 3474656048133223307
  16. Mon Jan 27 21:41:18 2025 A4: 8212945624850
  17. Mon Jan 27 21:41:18 2025 A5: 295800
  18. Mon Jan 27 21:41:18 2025 skew 3576288.23, size 9.570e-16, alpha -6.985, combined = 1.094e-12 rroots = 3
  19. Mon Jan 27 21:41:18 2025
  20. Mon Jan 27 21:41:18 2025 commencing relation filtering
  21. Mon Jan 27 21:41:18 2025 setting target matrix density to 110.0
  22. Mon Jan 27 21:41:18 2025 estimated available RAM is 257736.5 MB
  23. Mon Jan 27 21:41:18 2025 commencing duplicate removal, pass 1
  24. Mon Jan 27 21:42:16 2025 error -1 reading relation 27183707
  25. Mon Jan 27 21:42:19 2025 error -1 reading relation 28825078
  26. Mon Jan 27 21:43:55 2025 error -1 reading relation 75403494
  27. Mon Jan 27 21:44:13 2025 error -1 reading relation 84129354
  28. Mon Jan 27 21:44:14 2025 error -1 reading relation 84680012
  29. Mon Jan 27 21:44:37 2025 error -1 reading relation 95653658
  30. Mon Jan 27 21:44:41 2025 error -1 reading relation 97571017
  31. Mon Jan 27 21:44:51 2025 error -1 reading relation 101660991
  32. Mon Jan 27 21:45:06 2025 error -15 reading relation 109767013
  33. Mon Jan 27 21:45:07 2025 error -1 reading relation 110349617
  34. Mon Jan 27 21:45:09 2025 error -1 reading relation 111274929
  35. Mon Jan 27 21:45:14 2025 error -1 reading relation 114069341
  36. Mon Jan 27 21:45:16 2025 error -1 reading relation 114768350
  37. Mon Jan 27 21:45:36 2025 error -1 reading relation 124532538
  38. Mon Jan 27 21:45:37 2025 error -1 reading relation 124979075
  39. Mon Jan 27 21:45:38 2025 error -1 reading relation 125328659
  40. Mon Jan 27 21:46:03 2025 error -1 reading relation 138092228
  41. Mon Jan 27 21:46:15 2025 error -1 reading relation 144466273
  42. Mon Jan 27 21:46:21 2025 skipped 1 relations with composite factors
  43. Mon Jan 27 21:46:21 2025 skipped 142 malformed relations
  44. Mon Jan 27 21:46:21 2025 found 25791464 hash collisions in 147609972 relations
  45. Mon Jan 27 21:46:52 2025 commencing duplicate removal, pass 2
  46. Mon Jan 27 21:50:50 2025 found 26316858 duplicates and 121293114 unique relations
  47. Mon Jan 27 21:50:50 2025 memory use: 852.8 MB
  48. Mon Jan 27 21:50:50 2025 reading ideals above 720000
  49. Mon Jan 27 21:50:50 2025 commencing singleton removal, initial pass
  50. Mon Jan 27 22:00:15 2025 memory use: 3012.0 MB
  51. Mon Jan 27 22:00:15 2025 reading all ideals from disk
  52. Mon Jan 27 22:00:19 2025 memory use: 5505.1 MB
  53. Mon Jan 27 22:00:39 2025 keeping 125094605 ideals with weight <= 200, target excess is 594328
  54. Mon Jan 27 22:01:02 2025 commencing in-memory singleton removal
  55. Mon Jan 27 22:01:05 2025 begin with 121293114 relations and 125094605 unique ideals
  56. Mon Jan 27 22:01:17 2025 reduce to 60798471 relations and 56555942 ideals in 20 passes
  57. Mon Jan 27 22:01:17 2025 max relations containing the same ideal: 134
  58. Mon Jan 27 22:01:51 2025 removing 4237686 relations and 3837686 ideals in 400000 cliques
  59. Mon Jan 27 22:01:54 2025 commencing in-memory singleton removal
  60. Mon Jan 27 22:01:55 2025 begin with 56560785 relations and 56555942 unique ideals
  61. Mon Jan 27 22:02:00 2025 reduce to 56287990 relations and 52442693 ideals in 10 passes
  62. Mon Jan 27 22:02:00 2025 max relations containing the same ideal: 126
  63. Mon Jan 27 22:02:32 2025 removing 3128207 relations and 2728207 ideals in 400000 cliques
  64. Mon Jan 27 22:02:34 2025 commencing in-memory singleton removal
  65. Mon Jan 27 22:02:35 2025 begin with 53159783 relations and 52442693 unique ideals
  66. Mon Jan 27 22:02:39 2025 reduce to 52998395 relations and 49551769 ideals in 9 passes
  67. Mon Jan 27 22:02:39 2025 max relations containing the same ideal: 120
  68. Mon Jan 27 22:03:11 2025 removing 2781366 relations and 2381366 ideals in 400000 cliques
  69. Mon Jan 27 22:03:13 2025 commencing in-memory singleton removal
  70. Mon Jan 27 22:03:14 2025 begin with 50217029 relations and 49551769 unique ideals
  71. Mon Jan 27 22:03:17 2025 reduce to 50078552 relations and 47030811 ideals in 8 passes
  72. Mon Jan 27 22:03:17 2025 max relations containing the same ideal: 117
  73. Mon Jan 27 22:03:47 2025 removing 2596944 relations and 2196944 ideals in 400000 cliques
  74. Mon Jan 27 22:03:49 2025 commencing in-memory singleton removal
  75. Mon Jan 27 22:03:50 2025 begin with 47481608 relations and 47030811 unique ideals
  76. Mon Jan 27 22:03:53 2025 reduce to 47354178 relations and 44705440 ideals in 8 passes
  77. Mon Jan 27 22:03:53 2025 max relations containing the same ideal: 113
  78. Mon Jan 27 22:04:21 2025 removing 2483883 relations and 2083883 ideals in 400000 cliques
  79. Mon Jan 27 22:04:22 2025 commencing in-memory singleton removal
  80. Mon Jan 27 22:04:23 2025 begin with 44870295 relations and 44705440 unique ideals
  81. Mon Jan 27 22:04:26 2025 reduce to 44747014 relations and 42497262 ideals in 9 passes
  82. Mon Jan 27 22:04:26 2025 max relations containing the same ideal: 107
  83. Mon Jan 27 22:04:52 2025 removing 2406945 relations and 2006945 ideals in 400000 cliques
  84. Mon Jan 27 22:04:54 2025 commencing in-memory singleton removal
  85. Mon Jan 27 22:04:54 2025 begin with 42340069 relations and 42497262 unique ideals
  86. Mon Jan 27 22:04:57 2025 reduce to 42218723 relations and 40368035 ideals in 8 passes
  87. Mon Jan 27 22:04:57 2025 max relations containing the same ideal: 103
  88. Mon Jan 27 22:05:21 2025 removing 2355262 relations and 1955262 ideals in 400000 cliques
  89. Mon Jan 27 22:05:22 2025 commencing in-memory singleton removal
  90. Mon Jan 27 22:05:23 2025 begin with 39863461 relations and 40368035 unique ideals
  91. Mon Jan 27 22:05:26 2025 reduce to 39738012 relations and 38286203 ideals in 8 passes
  92. Mon Jan 27 22:05:26 2025 max relations containing the same ideal: 101
  93. Mon Jan 27 22:05:47 2025 removing 2323446 relations and 1923446 ideals in 400000 cliques
  94. Mon Jan 27 22:05:49 2025 commencing in-memory singleton removal
  95. Mon Jan 27 22:05:49 2025 begin with 37414566 relations and 38286203 unique ideals
  96. Mon Jan 27 22:05:52 2025 reduce to 37285684 relations and 36232672 ideals in 8 passes
  97. Mon Jan 27 22:05:52 2025 max relations containing the same ideal: 95
  98. Mon Jan 27 22:06:13 2025 removing 2134095 relations and 1770504 ideals in 363591 cliques
  99. Mon Jan 27 22:06:15 2025 commencing in-memory singleton removal
  100. Mon Jan 27 22:06:15 2025 begin with 35151589 relations and 36232672 unique ideals
  101. Mon Jan 27 22:06:18 2025 reduce to 35035712 relations and 34345270 ideals in 8 passes
  102. Mon Jan 27 22:06:18 2025 max relations containing the same ideal: 90
  103. Mon Jan 27 22:06:43 2025 relations with 0 large ideals: 2171
  104. Mon Jan 27 22:06:43 2025 relations with 1 large ideals: 8842
  105. Mon Jan 27 22:06:43 2025 relations with 2 large ideals: 136300
  106. Mon Jan 27 22:06:43 2025 relations with 3 large ideals: 928268
  107. Mon Jan 27 22:06:43 2025 relations with 4 large ideals: 3428364
  108. Mon Jan 27 22:06:43 2025 relations with 5 large ideals: 7509767
  109. Mon Jan 27 22:06:43 2025 relations with 6 large ideals: 10061017
  110. Mon Jan 27 22:06:43 2025 relations with 7+ large ideals: 12960983
  111. Mon Jan 27 22:06:43 2025 commencing 2-way merge
  112. Mon Jan 27 22:07:13 2025 reduce to 20955823 relation sets and 20265381 unique ideals
  113. Mon Jan 27 22:07:13 2025 commencing full merge
  114. Mon Jan 27 22:18:46 2025 memory use: 2262.1 MB
  115. Mon Jan 27 22:18:47 2025 found 9027280 cycles, need 9023581
  116. Mon Jan 27 22:18:50 2025 weight of 9023581 cycles is about 992604354 (110.00/cycle)
  117. Mon Jan 27 22:18:50 2025 distribution of cycle lengths:
  118. Mon Jan 27 22:18:50 2025 1 relations: 850215
  119. Mon Jan 27 22:18:50 2025 2 relations: 723945
  120. Mon Jan 27 22:18:50 2025 3 relations: 719531
  121. Mon Jan 27 22:18:50 2025 4 relations: 676145
  122. Mon Jan 27 22:18:50 2025 5 relations: 644510
  123. Mon Jan 27 22:18:50 2025 6 relations: 599648
  124. Mon Jan 27 22:18:50 2025 7 relations: 563109
  125. Mon Jan 27 22:18:50 2025 8 relations: 517477
  126. Mon Jan 27 22:18:50 2025 9 relations: 470481
  127. Mon Jan 27 22:18:50 2025 10+ relations: 3258520
  128. Mon Jan 27 22:18:50 2025 heaviest cycle: 28 relations
  129. Mon Jan 27 22:18:52 2025 commencing cycle optimization
  130. Mon Jan 27 22:19:11 2025 start with 75178689 relations
  131. Mon Jan 27 22:23:50 2025 pruned 2464828 relations
  132. Mon Jan 27 22:23:52 2025 memory use: 2185.6 MB
  133. Mon Jan 27 22:23:52 2025 distribution of cycle lengths:
  134. Mon Jan 27 22:23:52 2025 1 relations: 850215
  135. Mon Jan 27 22:23:52 2025 2 relations: 742984
  136. Mon Jan 27 22:23:52 2025 3 relations: 747186
  137. Mon Jan 27 22:23:52 2025 4 relations: 697535
  138. Mon Jan 27 22:23:52 2025 5 relations: 666797
  139. Mon Jan 27 22:23:52 2025 6 relations: 616323
  140. Mon Jan 27 22:23:52 2025 7 relations: 578620
  141. Mon Jan 27 22:23:52 2025 8 relations: 527251
  142. Mon Jan 27 22:23:52 2025 9 relations: 480116
  143. Mon Jan 27 22:23:52 2025 10+ relations: 3116554
  144. Mon Jan 27 22:23:52 2025 heaviest cycle: 28 relations
  145. Mon Jan 27 22:24:12 2025 RelProcTime: 2574
  146. Mon Jan 27 22:24:12 2025
  147. Mon Jan 27 22:24:12 2025 commencing linear algebra
  148. Mon Jan 27 22:24:12 2025 using VBITS=256
  149. Mon Jan 27 22:24:12 2025 stopping after matrix build
  150. Mon Jan 27 22:24:12 2025 initialized process (0,0) of 1 x 1 grid
  151. Mon Jan 27 22:24:13 2025 read 9023581 cycles
  152. Mon Jan 27 22:24:27 2025 cycles contain 34427784 unique relations
  153. Mon Jan 27 22:27:29 2025 read 34427784 relations
  154. Mon Jan 27 22:27:34 2025 using 20 quadratic characters above 4294917295
  155. Mon Jan 27 22:27:40 2025 building initial matrix
  156. Mon Jan 27 22:36:56 2025 memory use: 4502.4 MB
  157. Mon Jan 27 22:37:07 2025 read 9023581 cycles
  158. Mon Jan 27 22:37:09 2025 matrix is 9023403 x 9023581 (3980.2 MB) with weight 1210990744 (134.20/col)
  159. Mon Jan 27 22:37:09 2025 sparse part has weight 935110140 (103.63/col)
  160. Mon Jan 27 22:39:25 2025 filtering completed in 2 passes
  161. Mon Jan 27 22:39:27 2025 matrix is 9022936 x 9023114 (3980.2 MB) with weight 1210969676 (134.21/col)
  162. Mon Jan 27 22:39:27 2025 sparse part has weight 935105534 (103.63/col)
  163. Mon Jan 27 22:40:24 2025 BLanczosTime: 972
  164. Mon Jan 27 22:40:24 2025 elapsed time 00:59:07
  165. Tue Jan 28 08:48:34 2025
  166. Tue Jan 28 08:48:34 2025
  167. Tue Jan 28 08:48:34 2025 Msieve v. 1.54 (SVN Unversioned directory)
  168. Tue Jan 28 08:48:34 2025 random seeds: b04f4820 47c06cca
  169. Tue Jan 28 08:48:34 2025 Using 96 OpenMP threads
  170. Tue Jan 28 08:48:34 2025 factoring 507216017314857693865873203589874195142100965736501629847155597470846746601292478890500277296581053686265545813608525742381881802156140006946010980862715504354483 (162 digits)
  171. Tue Jan 28 08:48:35 2025 searching for 15-digit factors
  172. Tue Jan 28 08:48:35 2025 commencing number field sieve (162-digit input)
  173. Tue Jan 28 08:48:35 2025 R0: -17653830148996720094864278750849
  174. Tue Jan 28 08:48:35 2025 R1: 103615481926571837
  175. Tue Jan 28 08:48:35 2025 A0: -14257271039759397369807356351890533024
  176. Tue Jan 28 08:48:35 2025 A1: -71497519031544450540752287670352
  177. Tue Jan 28 08:48:35 2025 A2: 106604865611152191926658854
  178. Tue Jan 28 08:48:35 2025 A3: 3474656048133223307
  179. Tue Jan 28 08:48:35 2025 A4: 8212945624850
  180. Tue Jan 28 08:48:35 2025 A5: 295800
  181. Tue Jan 28 08:48:35 2025 skew 3576288.23, size 9.570e-16, alpha -6.985, combined = 1.094e-12 rroots = 3
  182. Tue Jan 28 08:48:35 2025
  183. Tue Jan 28 08:48:35 2025 commencing linear algebra
  184. Tue Jan 28 08:48:35 2025 using VBITS=256
  185. Tue Jan 28 08:48:35 2025 skipping matrix build
  186. Tue Jan 28 08:48:37 2025 matrix starts at (0, 0)
  187. Tue Jan 28 08:48:38 2025 matrix is 9022936 x 9023114 (3980.2 MB) with weight 1210969676 (134.21/col)
  188. Tue Jan 28 08:48:38 2025 sparse part has weight 935105534 (103.63/col)
  189. Tue Jan 28 08:48:38 2025 saving the first 240 matrix rows for later
  190. Tue Jan 28 08:48:40 2025 matrix includes 256 packed rows
  191. Tue Jan 28 08:48:43 2025 matrix is 9022696 x 9023114 (3613.7 MB) with weight 854889161 (94.74/col)
  192. Tue Jan 28 08:48:43 2025 sparse part has weight 802939516 (88.99/col)
  193. Tue Jan 28 08:48:43 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  194. Tue Jan 28 08:48:59 2025 commencing Lanczos iteration (96 threads)
  195. Tue Jan 28 08:48:59 2025 memory use: 5076.8 MB
  196. Tue Jan 28 08:50:03 2025 linear algebra at 0.3%, ETA 5h 3m
  197. Tue Jan 28 08:51:32 2025 checking every 30000 dimensions, checkpointing every 1860000 dimensions
  198. Tue Jan 28 13:36:14 2025 lanczos halted after 35352 iterations (dim = 9022694)
  199. Tue Jan 28 13:36:56 2025 recovered 29 nontrivial dependencies
  200. Tue Jan 28 13:36:56 2025 BLanczosTime: 17301
  201. Tue Jan 28 13:36:56 2025
  202. Tue Jan 28 13:36:56 2025 commencing square root phase
  203. Tue Jan 28 13:36:56 2025 handling dependencies 1 to 64
  204. Tue Jan 28 13:36:56 2025 reading relations for dependency 1
  205. Tue Jan 28 13:36:57 2025 read 4514588 cycles
  206. Tue Jan 28 13:37:06 2025 cycles contain 17215026 unique relations
  207. Tue Jan 28 13:40:19 2025 read 17215026 relations
  208. Tue Jan 28 13:41:35 2025 multiplying 17215026 relations
  209. Tue Jan 28 13:50:29 2025 multiply complete, coefficients have about 950.70 million bits
  210. Tue Jan 28 13:50:31 2025 initial square root is modulo 338185697
  211. Tue Jan 28 13:55:37 2025 GCD is 1, no factor found
  212. Tue Jan 28 13:55:37 2025 reading relations for dependency 2
  213. Tue Jan 28 13:55:38 2025 read 4510167 cycles
  214. Tue Jan 28 13:55:45 2025 cycles contain 17214108 unique relations
  215. Tue Jan 28 13:57:49 2025 read 17214108 relations
  216. Tue Jan 28 13:58:43 2025 multiplying 17214108 relations
  217. Tue Jan 28 14:06:13 2025 multiply complete, coefficients have about 950.66 million bits
  218. Tue Jan 28 14:06:16 2025 initial square root is modulo 337903613
  219. Tue Jan 28 14:11:16 2025 sqrtTime: 2060
  220. Tue Jan 28 14:11:16 2025 p71 factor: 23495402417218637005094232831785365753298662113698883909717580481398337
  221. Tue Jan 28 14:11:16 2025 p92 factor: 21587883804158372658214927522732496345832868541633498537333648879725678616102674402994959859
  222. Tue Jan 28 14:11:16 2025 elapsed time 05:22:42
  223.  
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