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Nov 30th, 2024
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  1. Fri Nov 29 23:31:13 2024 Msieve v. 1.54 (SVN Unversioned directory)
  2. Fri Nov 29 23:31:13 2024 random seeds: 0953ac0e db5a3949
  3. Fri Nov 29 23:31:13 2024 MPI process 0 of 1
  4. Fri Nov 29 23:31:13 2024 Using 32 OpenMP threads
  5. Fri Nov 29 23:31:13 2024 factoring 50257154853182373314117205169648824748808040759408434732037249441354155595703567797445768178412648412009103221213424132191253111077387895175254880254742182023231943 (164 digits)
  6. Fri Nov 29 23:31:14 2024 searching for 15-digit factors
  7. Fri Nov 29 23:31:14 2024 commencing number field sieve (164-digit input)
  8. Fri Nov 29 23:31:14 2024 R0: -54626415164932452161337211103426
  9. Fri Nov 29 23:31:14 2024 R1: 37657965659553149
  10. Fri Nov 29 23:31:14 2024 A0: -2574871320969692463018140725770478294299
  11. Fri Nov 29 23:31:14 2024 A1: -23050896851175720895920419299553403
  12. Fri Nov 29 23:31:14 2024 A2: 2350068346028961390074294873
  13. Fri Nov 29 23:31:14 2024 A3: 106662287407376914577
  14. Fri Nov 29 23:31:14 2024 A4: -1392096451848
  15. Fri Nov 29 23:31:14 2024 A5: 103320
  16. Fri Nov 29 23:31:14 2024 skew 17825116.45, size 5.465e-16, alpha -8.114, combined = 7.899e-13 rroots = 3
  17. Fri Nov 29 23:31:14 2024
  18. Fri Nov 29 23:31:14 2024 commencing relation filtering
  19. Fri Nov 29 23:31:14 2024 setting target matrix density to 140.0
  20. Fri Nov 29 23:31:14 2024 estimated available RAM is 257736.5 MB
  21. Fri Nov 29 23:31:14 2024 commencing duplicate removal, pass 1
  22. Fri Nov 29 23:35:12 2024 error -1 reading relation 155465465
  23. Fri Nov 29 23:35:20 2024 error -1 reading relation 160862378
  24. Fri Nov 29 23:35:47 2024 error -1 reading relation 178605721
  25. Fri Nov 29 23:37:17 2024 error -1 reading relation 236217877
  26. Fri Nov 29 23:37:35 2024 error -1 reading relation 247378999
  27. Fri Nov 29 23:37:42 2024 error -1 reading relation 251992528
  28. Fri Nov 29 23:37:56 2024 error -1 reading relation 260825885
  29. Fri Nov 29 23:38:41 2024 error -1 reading relation 289580804
  30. Fri Nov 29 23:38:41 2024 error -1 reading relation 289778885
  31. Fri Nov 29 23:38:47 2024 error -1 reading relation 293694888
  32. Fri Nov 29 23:39:09 2024 error -1 reading relation 307477079
  33. Fri Nov 29 23:39:11 2024 skipped 78 malformed relations
  34. Fri Nov 29 23:39:11 2024 found 65867689 hash collisions in 308970829 relations
  35. Fri Nov 29 23:39:33 2024 added 121336 free relations
  36. Fri Nov 29 23:39:33 2024 commencing duplicate removal, pass 2
  37. Fri Nov 29 23:45:36 2024 found 71623991 duplicates and 237468174 unique relations
  38. Fri Nov 29 23:45:36 2024 memory use: 1705.5 MB
  39. Fri Nov 29 23:45:37 2024 reading ideals above 720000
  40. Fri Nov 29 23:45:37 2024 commencing singleton removal, initial pass
  41. Sat Nov 30 00:00:15 2024 memory use: 6024.0 MB
  42. Sat Nov 30 00:00:15 2024 reading all ideals from disk
  43. Sat Nov 30 00:00:20 2024 memory use: 10769.3 MB
  44. Sat Nov 30 00:00:45 2024 keeping 224520940 ideals with weight <= 200, target excess is 1325166
  45. Sat Nov 30 00:01:17 2024 commencing in-memory singleton removal
  46. Sat Nov 30 00:01:19 2024 begin with 237468174 relations and 224520940 unique ideals
  47. Sat Nov 30 00:01:32 2024 reduce to 130783725 relations and 104588694 ideals in 15 passes
  48. Sat Nov 30 00:01:32 2024 max relations containing the same ideal: 143
  49. Sat Nov 30 00:02:20 2024 removing 11507303 relations and 9507303 ideals in 2000000 cliques
  50. Sat Nov 30 00:02:25 2024 commencing in-memory singleton removal
  51. Sat Nov 30 00:02:26 2024 begin with 119276422 relations and 104588694 unique ideals
  52. Sat Nov 30 00:02:31 2024 reduce to 118524252 relations and 94314576 ideals in 9 passes
  53. Sat Nov 30 00:02:31 2024 max relations containing the same ideal: 133
  54. Sat Nov 30 00:03:12 2024 removing 8741205 relations and 6741205 ideals in 2000000 cliques
  55. Sat Nov 30 00:03:16 2024 commencing in-memory singleton removal
  56. Sat Nov 30 00:03:18 2024 begin with 109783047 relations and 94314576 unique ideals
  57. Sat Nov 30 00:03:22 2024 reduce to 109274876 relations and 87056433 ideals in 8 passes
  58. Sat Nov 30 00:03:22 2024 max relations containing the same ideal: 127
  59. Sat Nov 30 00:03:58 2024 removing 7920660 relations and 5920660 ideals in 2000000 cliques
  60. Sat Nov 30 00:04:02 2024 commencing in-memory singleton removal
  61. Sat Nov 30 00:04:03 2024 begin with 101354216 relations and 87056433 unique ideals
  62. Sat Nov 30 00:04:07 2024 reduce to 100901231 relations and 80674616 ideals in 8 passes
  63. Sat Nov 30 00:04:07 2024 max relations containing the same ideal: 121
  64. Sat Nov 30 00:04:40 2024 removing 7498752 relations and 5498752 ideals in 2000000 cliques
  65. Sat Nov 30 00:04:43 2024 commencing in-memory singleton removal
  66. Sat Nov 30 00:04:44 2024 begin with 93402479 relations and 80674616 unique ideals
  67. Sat Nov 30 00:04:47 2024 reduce to 92966911 relations and 74732364 ideals in 7 passes
  68. Sat Nov 30 00:04:47 2024 max relations containing the same ideal: 114
  69. Sat Nov 30 00:05:18 2024 removing 7239124 relations and 5239124 ideals in 2000000 cliques
  70. Sat Nov 30 00:05:21 2024 commencing in-memory singleton removal
  71. Sat Nov 30 00:05:22 2024 begin with 85727787 relations and 74732364 unique ideals
  72. Sat Nov 30 00:05:25 2024 reduce to 85294745 relations and 69051607 ideals in 7 passes
  73. Sat Nov 30 00:05:25 2024 max relations containing the same ideal: 110
  74. Sat Nov 30 00:05:53 2024 removing 7071774 relations and 5071774 ideals in 2000000 cliques
  75. Sat Nov 30 00:05:56 2024 commencing in-memory singleton removal
  76. Sat Nov 30 00:05:57 2024 begin with 78222971 relations and 69051607 unique ideals
  77. Sat Nov 30 00:06:00 2024 reduce to 77776827 relations and 63524452 ideals in 8 passes
  78. Sat Nov 30 00:06:00 2024 max relations containing the same ideal: 104
  79. Sat Nov 30 00:06:26 2024 removing 6968338 relations and 4968338 ideals in 2000000 cliques
  80. Sat Nov 30 00:06:28 2024 commencing in-memory singleton removal
  81. Sat Nov 30 00:06:29 2024 begin with 70808489 relations and 63524452 unique ideals
  82. Sat Nov 30 00:06:32 2024 reduce to 70341137 relations and 58078163 ideals in 8 passes
  83. Sat Nov 30 00:06:32 2024 max relations containing the same ideal: 99
  84. Sat Nov 30 00:06:55 2024 removing 6910147 relations and 4910147 ideals in 2000000 cliques
  85. Sat Nov 30 00:06:58 2024 commencing in-memory singleton removal
  86. Sat Nov 30 00:06:58 2024 begin with 63430990 relations and 58078163 unique ideals
  87. Sat Nov 30 00:07:01 2024 reduce to 62924664 relations and 52649118 ideals in 8 passes
  88. Sat Nov 30 00:07:01 2024 max relations containing the same ideal: 92
  89. Sat Nov 30 00:07:22 2024 removing 6889992 relations and 4889992 ideals in 2000000 cliques
  90. Sat Nov 30 00:07:24 2024 commencing in-memory singleton removal
  91. Sat Nov 30 00:07:25 2024 begin with 56034672 relations and 52649118 unique ideals
  92. Sat Nov 30 00:07:27 2024 reduce to 55473383 relations and 47182367 ideals in 8 passes
  93. Sat Nov 30 00:07:27 2024 max relations containing the same ideal: 86
  94. Sat Nov 30 00:07:46 2024 removing 6908436 relations and 4908436 ideals in 2000000 cliques
  95. Sat Nov 30 00:07:48 2024 commencing in-memory singleton removal
  96. Sat Nov 30 00:07:48 2024 begin with 48564947 relations and 47182367 unique ideals
  97. Sat Nov 30 00:07:50 2024 reduce to 47920449 relations and 41609463 ideals in 8 passes
  98. Sat Nov 30 00:07:50 2024 max relations containing the same ideal: 72
  99. Sat Nov 30 00:08:07 2024 removing 6975625 relations and 4975625 ideals in 2000000 cliques
  100. Sat Nov 30 00:08:09 2024 commencing in-memory singleton removal
  101. Sat Nov 30 00:08:10 2024 begin with 40944824 relations and 41609463 unique ideals
  102. Sat Nov 30 00:08:11 2024 reduce to 40172899 relations and 35833846 ideals in 9 passes
  103. Sat Nov 30 00:08:11 2024 max relations containing the same ideal: 65
  104. Sat Nov 30 00:08:25 2024 removing 7094555 relations and 5094555 ideals in 2000000 cliques
  105. Sat Nov 30 00:08:27 2024 commencing in-memory singleton removal
  106. Sat Nov 30 00:08:28 2024 begin with 33078344 relations and 35833846 unique ideals
  107. Sat Nov 30 00:08:29 2024 reduce to 32096161 relations and 29714749 ideals in 9 passes
  108. Sat Nov 30 00:08:29 2024 max relations containing the same ideal: 57
  109. Sat Nov 30 00:08:41 2024 removing 3751204 relations and 2906985 ideals in 844219 cliques
  110. Sat Nov 30 00:08:43 2024 commencing in-memory singleton removal
  111. Sat Nov 30 00:08:43 2024 begin with 28344957 relations and 29714749 unique ideals
  112. Sat Nov 30 00:08:44 2024 reduce to 28008792 relations and 26463838 ideals in 8 passes
  113. Sat Nov 30 00:08:44 2024 max relations containing the same ideal: 52
  114. Sat Nov 30 00:08:57 2024 relations with 0 large ideals: 9688
  115. Sat Nov 30 00:08:57 2024 relations with 1 large ideals: 124828
  116. Sat Nov 30 00:08:57 2024 relations with 2 large ideals: 934306
  117. Sat Nov 30 00:08:57 2024 relations with 3 large ideals: 3422733
  118. Sat Nov 30 00:08:57 2024 relations with 4 large ideals: 6884558
  119. Sat Nov 30 00:08:57 2024 relations with 5 large ideals: 8049540
  120. Sat Nov 30 00:08:57 2024 relations with 6 large ideals: 5642090
  121. Sat Nov 30 00:08:57 2024 relations with 7+ large ideals: 2941049
  122. Sat Nov 30 00:08:57 2024 commencing 2-way merge
  123. Sat Nov 30 00:09:12 2024 reduce to 16682442 relation sets and 15137488 unique ideals
  124. Sat Nov 30 00:09:12 2024 commencing full merge
  125. Sat Nov 30 00:13:31 2024 memory use: 1738.6 MB
  126. Sat Nov 30 00:13:32 2024 found 6891632 cycles, need 6857688
  127. Sat Nov 30 00:13:34 2024 weight of 6857688 cycles is about 960420815 (140.05/cycle)
  128. Sat Nov 30 00:13:34 2024 distribution of cycle lengths:
  129. Sat Nov 30 00:13:34 2024 1 relations: 325595
  130. Sat Nov 30 00:13:34 2024 2 relations: 368289
  131. Sat Nov 30 00:13:34 2024 3 relations: 394672
  132. Sat Nov 30 00:13:34 2024 4 relations: 400265
  133. Sat Nov 30 00:13:34 2024 5 relations: 408674
  134. Sat Nov 30 00:13:34 2024 6 relations: 409540
  135. Sat Nov 30 00:13:34 2024 7 relations: 411751
  136. Sat Nov 30 00:13:34 2024 8 relations: 407092
  137. Sat Nov 30 00:13:34 2024 9 relations: 396981
  138. Sat Nov 30 00:13:34 2024 10+ relations: 3334829
  139. Sat Nov 30 00:13:34 2024 heaviest cycle: 28 relations
  140. Sat Nov 30 00:13:35 2024 commencing cycle optimization
  141. Sat Nov 30 00:13:48 2024 start with 69669519 relations
  142. Sat Nov 30 00:15:59 2024 pruned 3224504 relations
  143. Sat Nov 30 00:15:59 2024 memory use: 1831.1 MB
  144. Sat Nov 30 00:15:59 2024 distribution of cycle lengths:
  145. Sat Nov 30 00:15:59 2024 1 relations: 325595
  146. Sat Nov 30 00:15:59 2024 2 relations: 377528
  147. Sat Nov 30 00:15:59 2024 3 relations: 410489
  148. Sat Nov 30 00:15:59 2024 4 relations: 415849
  149. Sat Nov 30 00:15:59 2024 5 relations: 428205
  150. Sat Nov 30 00:15:59 2024 6 relations: 429430
  151. Sat Nov 30 00:15:59 2024 7 relations: 434136
  152. Sat Nov 30 00:15:59 2024 8 relations: 428292
  153. Sat Nov 30 00:15:59 2024 9 relations: 419075
  154. Sat Nov 30 00:15:59 2024 10+ relations: 3189089
  155. Sat Nov 30 00:15:59 2024 heaviest cycle: 28 relations
  156. Sat Nov 30 00:16:08 2024 RelProcTime: 2694
  157. Sat Nov 30 00:16:08 2024 elapsed time 00:44:55
  158. Sat Nov 30 00:27:44 2024
  159. Sat Nov 30 00:27:44 2024
  160. Sat Nov 30 00:27:44 2024 Msieve v. 1.54 (SVN Unversioned directory)
  161. Sat Nov 30 00:27:44 2024 random seeds: f729c875 ac495768
  162. Sat Nov 30 00:27:44 2024 MPI process 0 of 1
  163. Sat Nov 30 00:27:44 2024 Using 32 OpenMP threads
  164. Sat Nov 30 00:27:44 2024 factoring 50257154853182373314117205169648824748808040759408434732037249441354155595703567797445768178412648412009103221213424132191253111077387895175254880254742182023231943 (164 digits)
  165. Sat Nov 30 00:27:44 2024 searching for 15-digit factors
  166. Sat Nov 30 00:27:44 2024 commencing number field sieve (164-digit input)
  167. Sat Nov 30 00:27:44 2024 R0: -54626415164932452161337211103426
  168. Sat Nov 30 00:27:44 2024 R1: 37657965659553149
  169. Sat Nov 30 00:27:44 2024 A0: -2574871320969692463018140725770478294299
  170. Sat Nov 30 00:27:44 2024 A1: -23050896851175720895920419299553403
  171. Sat Nov 30 00:27:44 2024 A2: 2350068346028961390074294873
  172. Sat Nov 30 00:27:44 2024 A3: 106662287407376914577
  173. Sat Nov 30 00:27:44 2024 A4: -1392096451848
  174. Sat Nov 30 00:27:44 2024 A5: 103320
  175. Sat Nov 30 00:27:44 2024 skew 17825116.45, size 5.465e-16, alpha -8.114, combined = 7.899e-13 rroots = 3
  176. Sat Nov 30 00:27:44 2024
  177. Sat Nov 30 00:27:44 2024 commencing relation filtering
  178. Sat Nov 30 00:27:44 2024 estimated available RAM is 257736.5 MB
  179. Sat Nov 30 00:27:44 2024 commencing duplicate removal, pass 1
  180. Sat Nov 30 00:31:26 2024 error -1 reading relation 155465465
  181. Sat Nov 30 00:31:34 2024 error -1 reading relation 160862378
  182. Sat Nov 30 00:31:59 2024 error -1 reading relation 178605721
  183. Sat Nov 30 00:33:27 2024
  184. Sat Nov 30 00:33:27 2024
  185. Sat Nov 30 00:33:27 2024 Msieve v. 1.54 (SVN Unversioned directory)
  186. Sat Nov 30 00:33:27 2024 random seeds: 831c83a0 3696bf84
  187. Sat Nov 30 00:33:27 2024 MPI process 0 of 1
  188. Sat Nov 30 00:33:27 2024 Using 64 OpenMP threads
  189. Sat Nov 30 00:33:27 2024 factoring 50257154853182373314117205169648824748808040759408434732037249441354155595703567797445768178412648412009103221213424132191253111077387895175254880254742182023231943 (164 digits)
  190. Sat Nov 30 00:33:27 2024 searching for 15-digit factors
  191. Sat Nov 30 00:33:27 2024 commencing number field sieve (164-digit input)
  192. Sat Nov 30 00:33:27 2024 R0: -54626415164932452161337211103426
  193. Sat Nov 30 00:33:27 2024 R1: 37657965659553149
  194. Sat Nov 30 00:33:27 2024 A0: -2574871320969692463018140725770478294299
  195. Sat Nov 30 00:33:27 2024 A1: -23050896851175720895920419299553403
  196. Sat Nov 30 00:33:27 2024 A2: 2350068346028961390074294873
  197. Sat Nov 30 00:33:27 2024 A3: 106662287407376914577
  198. Sat Nov 30 00:33:27 2024 A4: -1392096451848
  199. Sat Nov 30 00:33:27 2024 A5: 103320
  200. Sat Nov 30 00:33:27 2024 skew 17825116.45, size 5.465e-16, alpha -8.114, combined = 7.899e-13 rroots = 3
  201. Sat Nov 30 00:33:27 2024
  202. Sat Nov 30 00:33:27 2024 commencing linear algebra
  203. Sat Nov 30 00:33:27 2024 using VBITS=256
  204. Sat Nov 30 00:33:27 2024 initialized process (0,0) of 1 x 1 grid
  205. Sat Nov 30 00:33:28 2024 read 6857688 cycles
  206. Sat Nov 30 00:33:41 2024 cycles contain 26944636 unique relations
  207. Sat Nov 30 00:37:50 2024 read 26944636 relations
  208. Sat Nov 30 00:37:52 2024 using 20 quadratic characters above 4294917295
  209. Sat Nov 30 00:37:54 2024 building initial matrix
  210. Sat Nov 30 00:42:37 2024 memory use: 3653.5 MB
  211. Sat Nov 30 00:42:42 2024 read 6857688 cycles
  212. Sat Nov 30 00:42:43 2024 matrix is 6857508 x 6857688 (3683.4 MB) with weight 1114568785 (162.53/col)
  213. Sat Nov 30 00:42:43 2024 sparse part has weight 883279737 (128.80/col)
  214. Sat Nov 30 00:44:04 2024 filtering completed in 2 passes
  215. Sat Nov 30 00:44:05 2024 matrix is 6857246 x 6857424 (3683.3 MB) with weight 1114553626 (162.53/col)
  216. Sat Nov 30 00:44:05 2024 sparse part has weight 883273955 (128.81/col)
  217. Sat Nov 30 00:44:48 2024 matrix starts at (0, 0)
  218. Sat Nov 30 00:44:49 2024 matrix is 6857246 x 6857424 (3683.3 MB) with weight 1114553626 (162.53/col)
  219. Sat Nov 30 00:44:49 2024 sparse part has weight 883273955 (128.81/col)
  220. Sat Nov 30 00:44:49 2024 saving the first 240 matrix rows for later
  221. Sat Nov 30 00:44:51 2024 matrix includes 256 packed rows
  222. Sat Nov 30 00:44:53 2024 matrix is 6857006 x 6857424 (3265.7 MB) with weight 799567487 (116.60/col)
  223. Sat Nov 30 00:44:53 2024 sparse part has weight 746370121 (108.84/col)
  224. Sat Nov 30 00:44:53 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  225. Sat Nov 30 00:45:09 2024 commencing Lanczos iteration (64 threads)
  226. Sat Nov 30 00:45:09 2024 memory use: 4529.1 MB
  227. Sat Nov 30 00:46:16 2024 linear algebra at 0.4%, ETA 4h 5m
  228. Sat Nov 30 00:47:54 2024 checking every 20000 dimensions, checkpointing every 1700000 dimensions
  229. Sat Nov 30 04:40:06 2024 lanczos halted after 26867 iterations (dim = 6857002)
  230. Sat Nov 30 04:40:37 2024 recovered 27 nontrivial dependencies
  231. Sat Nov 30 04:40:37 2024 BLanczosTime: 14830
  232. Sat Nov 30 04:40:37 2024
  233. Sat Nov 30 04:40:37 2024 commencing square root phase
  234. Sat Nov 30 04:40:37 2024 reading relations for dependency 1
  235. Sat Nov 30 04:40:38 2024 read 3431259 cycles
  236. Sat Nov 30 04:40:44 2024 cycles contain 13480180 unique relations
  237. Sat Nov 30 04:44:49 2024 read 13480180 relations
  238. Sat Nov 30 04:45:34 2024 multiplying 13480180 relations
  239. Sat Nov 30 04:46:48 2024 multiply complete, coefficients have about 725.04 million bits
  240. Sat Nov 30 04:46:50 2024 initial square root is modulo 3196477
  241. Sat Nov 30 04:50:41 2024 GCD is N, no factor found
  242. Sat Nov 30 04:50:41 2024 reading relations for dependency 2
  243. Sat Nov 30 04:50:42 2024 read 3428661 cycles
  244. Sat Nov 30 04:50:47 2024 cycles contain 13467084 unique relations
  245. Sat Nov 30 04:55:56 2024 read 13467084 relations
  246. Sat Nov 30 04:57:48 2024 multiplying 13467084 relations
  247. Sat Nov 30 05:00:06 2024 multiply complete, coefficients have about 724.33 million bits
  248. Sat Nov 30 05:00:08 2024 initial square root is modulo 3150047
  249. Sat Nov 30 05:07:11 2024 sqrtTime: 1594
  250. Sat Nov 30 05:07:11 2024 p61 factor: 1873597856800261302867495649943488213082900158665055717736161
  251. Sat Nov 30 05:07:11 2024 p104 factor: 26823875075845659004621541582634422975837593425523762006473160842106623138571604556753632433089588925863
  252. Sat Nov 30 05:07:11 2024 elapsed time 04:33:44
  253.  
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