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May 21st, 2025
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  1. Sun May 18 12:49:00 2025
  2. Sun May 18 12:49:00 2025
  3. Sun May 18 12:49:00 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun May 18 12:49:00 2025 random seeds: 160fd8d1 21931f8d
  5. Sun May 18 12:49:00 2025 MPI process 0 of 1
  6. Sun May 18 12:49:00 2025 Using 32 OpenMP threads
  7. Sun May 18 12:49:00 2025 factoring 2419271559463600429232877641087639005170480257906067408460942740673611729787931365313875107276984391313346025531900342367971685468496036396720291662398062044794168570090424490395547257 (184 digits)
  8. Sun May 18 12:49:00 2025 searching for 15-digit factors
  9. Sun May 18 12:49:00 2025 commencing number field sieve (184-digit input)
  10. Sun May 18 12:49:00 2025 R0: -203357415747254687079961453815024681
  11. Sun May 18 12:49:00 2025 R1: 2928752700470519761
  12. Sun May 18 12:49:00 2025 A0: 1314185573451642911400652870458026690381240720
  13. Sun May 18 12:49:00 2025 A1: 73485223049709872578793742908106362652
  14. Sun May 18 12:49:00 2025 A2: -6182419087248527399539170265894
  15. Sun May 18 12:49:00 2025 A3: -127172206098706404619371
  16. Sun May 18 12:49:00 2025 A4: 2517008797755830
  17. Sun May 18 12:49:00 2025 A5: 6956400
  18. Sun May 18 12:49:00 2025 skew 54037932.34, size 4.849e-18, alpha -8.476, combined = 4.493e-14 rroots = 5
  19. Sun May 18 12:49:00 2025
  20. Sun May 18 12:49:00 2025 commencing relation filtering
  21. Sun May 18 12:49:00 2025 setting target matrix density to 120.0
  22. Sun May 18 12:49:00 2025 estimated available RAM is 257736.5 MB
  23. Sun May 18 12:49:00 2025 commencing duplicate removal, pass 1
  24. Sun May 18 12:49:12 2025 error -1 reading relation 6692592
  25. Sun May 18 12:49:31 2025 error -1 reading relation 16663476
  26. Sun May 18 12:53:24 2025 error -1 reading relation 121308522
  27. Sun May 18 12:55:09 2025 error -1 reading relation 162971199
  28. Sun May 18 12:55:20 2025 error -1 reading relation 169982186
  29. Sun May 18 12:55:46 2025 error -1 reading relation 184309092
  30. Sun May 18 12:56:46 2025 error -1 reading relation 214682386
  31. Sun May 18 12:56:46 2025 error -1 reading relation 214691319
  32. Sun May 18 12:56:47 2025 error -1 reading relation 214711070
  33. Sun May 18 12:56:47 2025 error -1 reading relation 214774473
  34. Sun May 18 12:56:47 2025 error -1 reading relation 214942044
  35. Sun May 18 12:57:33 2025 error -1 reading relation 234563546
  36. Sun May 18 12:58:40 2025 error -1 reading relation 268712348
  37. Sun May 18 12:58:58 2025 error -1 reading relation 278429997
  38. Sun May 18 12:59:05 2025 error -1 reading relation 282644526
  39. Sun May 18 12:59:06 2025 error -1 reading relation 283652312
  40. Sun May 18 12:59:16 2025 error -1 reading relation 290337998
  41. Sun May 18 12:59:17 2025 error -1 reading relation 290776203
  42. Sun May 18 12:59:46 2025 error -1 reading relation 310885850
  43. Sun May 18 12:59:46 2025 error -1 reading relation 310885851
  44. Sun May 18 12:59:47 2025 error -1 reading relation 310915565
  45. Sun May 18 12:59:47 2025 error -1 reading relation 310960179
  46. Sun May 18 12:59:52 2025 error -1 reading relation 314643043
  47. Sun May 18 13:00:23 2025 error -1 reading relation 335189015
  48. Sun May 18 13:00:31 2025 error -1 reading relation 340779313
  49. Sun May 18 13:00:38 2025 error -1 reading relation 345242301
  50. Sun May 18 13:00:46 2025 error -1 reading relation 350894433
  51. Sun May 18 13:00:57 2025 error -1 reading relation 358453750
  52. Sun May 18 13:01:02 2025 error -1 reading relation 361406120
  53. Sun May 18 13:01:04 2025 error -1 reading relation 362844844
  54. Sun May 18 13:01:05 2025 error -1 reading relation 363806389
  55. Sun May 18 13:01:08 2025 error -1 reading relation 365602816
  56. Sun May 18 13:01:08 2025 error -1 reading relation 365974028
  57. Sun May 18 13:01:13 2025 error -1 reading relation 369463896
  58. Sun May 18 13:01:24 2025 error -1 reading relation 376616458
  59. Sun May 18 13:01:28 2025 error -1 reading relation 379244617
  60. Sun May 18 13:01:31 2025 error -1 reading relation 381607148
  61. Sun May 18 13:01:32 2025 error -1 reading relation 381862881
  62. Sun May 18 13:01:41 2025 error -1 reading relation 388214911
  63. Sun May 18 13:01:47 2025 error -1 reading relation 392401538
  64. Sun May 18 13:01:54 2025 error -1 reading relation 395600402
  65. Sun May 18 13:03:00 2025 error -15 reading relation 432588730
  66. Sun May 18 13:03:02 2025 error -1 reading relation 433877154
  67. Sun May 18 13:03:08 2025 error -1 reading relation 437689414
  68. Sun May 18 13:03:12 2025 error -1 reading relation 440070432
  69. Sun May 18 13:03:17 2025 error -1 reading relation 443632394
  70. Sun May 18 13:03:22 2025 error -1 reading relation 447229209
  71. Sun May 18 13:03:24 2025 skipped 1 relations with b > 2^32
  72. Sun May 18 13:03:24 2025 skipped 343 malformed relations
  73. Sun May 18 13:03:24 2025 found 101537604 hash collisions in 448067821 relations
  74. Sun May 18 13:03:46 2025 commencing duplicate removal, pass 2
  75. Sun May 18 13:12:36 2025 found 109129024 duplicates and 338938797 unique relations
  76. Sun May 18 13:12:36 2025 memory use: 2899.0 MB
  77. Sun May 18 13:12:36 2025 reading ideals above 720000
  78. Sun May 18 13:12:36 2025 commencing singleton removal, initial pass
  79. Sun May 18 13:32:29 2025 memory use: 11024.0 MB
  80. Sun May 18 13:32:30 2025 reading all ideals from disk
  81. Sun May 18 13:32:36 2025 memory use: 16743.4 MB
  82. Sun May 18 13:33:20 2025 keeping 331269672 ideals with weight <= 200, target excess is 1709837
  83. Sun May 18 13:34:13 2025 commencing in-memory singleton removal
  84. Sun May 18 13:34:18 2025 begin with 338938797 relations and 331269672 unique ideals
  85. Sun May 18 13:34:39 2025 reduce to 200258000 relations and 176711808 ideals in 15 passes
  86. Sun May 18 13:34:39 2025 max relations containing the same ideal: 148
  87. Sun May 18 13:35:56 2025 removing 15115809 relations and 13115809 ideals in 2000000 cliques
  88. Sun May 18 13:36:03 2025 commencing in-memory singleton removal
  89. Sun May 18 13:36:08 2025 begin with 185142191 relations and 176711808 unique ideals
  90. Sun May 18 13:36:24 2025 reduce to 184177683 relations and 162617948 ideals in 11 passes
  91. Sun May 18 13:36:24 2025 max relations containing the same ideal: 141
  92. Sun May 18 13:37:37 2025 removing 11371567 relations and 9371567 ideals in 2000000 cliques
  93. Sun May 18 13:37:43 2025 commencing in-memory singleton removal
  94. Sun May 18 13:37:46 2025 begin with 172806116 relations and 162617948 unique ideals
  95. Sun May 18 13:37:55 2025 reduce to 172195016 relations and 152628103 ideals in 10 passes
  96. Sun May 18 13:37:55 2025 max relations containing the same ideal: 136
  97. Sun May 18 13:39:14 2025 removing 10220962 relations and 8220962 ideals in 2000000 cliques
  98. Sun May 18 13:39:21 2025 commencing in-memory singleton removal
  99. Sun May 18 13:39:23 2025 begin with 161974054 relations and 152628103 unique ideals
  100. Sun May 18 13:39:31 2025 reduce to 161440734 relations and 143867663 ideals in 8 passes
  101. Sun May 18 13:39:31 2025 max relations containing the same ideal: 131
  102. Sun May 18 13:40:33 2025 removing 9631484 relations and 7631484 ideals in 2000000 cliques
  103. Sun May 18 13:40:38 2025 commencing in-memory singleton removal
  104. Sun May 18 13:40:40 2025 begin with 151809250 relations and 143867663 unique ideals
  105. Sun May 18 13:40:47 2025 reduce to 151305227 relations and 135726338 ideals in 9 passes
  106. Sun May 18 13:40:47 2025 max relations containing the same ideal: 124
  107. Sun May 18 13:41:44 2025 removing 9268160 relations and 7268160 ideals in 2000000 cliques
  108. Sun May 18 13:41:49 2025 commencing in-memory singleton removal
  109. Sun May 18 13:41:52 2025 begin with 142037067 relations and 135726338 unique ideals
  110. Sun May 18 13:42:01 2025 reduce to 141539690 relations and 127954697 ideals in 8 passes
  111. Sun May 18 13:42:01 2025 max relations containing the same ideal: 120
  112. Sun May 18 13:42:54 2025 removing 9042312 relations and 7042312 ideals in 2000000 cliques
  113. Sun May 18 13:42:59 2025 commencing in-memory singleton removal
  114. Sun May 18 13:43:01 2025 begin with 132497378 relations and 127954697 unique ideals
  115. Sun May 18 13:43:07 2025 reduce to 131991350 relations and 120399691 ideals in 8 passes
  116. Sun May 18 13:43:07 2025 max relations containing the same ideal: 115
  117. Sun May 18 13:43:56 2025 removing 8903894 relations and 6903894 ideals in 2000000 cliques
  118. Sun May 18 13:44:00 2025 commencing in-memory singleton removal
  119. Sun May 18 13:44:02 2025 begin with 123087456 relations and 120399691 unique ideals
  120. Sun May 18 13:44:07 2025 reduce to 122563020 relations and 112964472 ideals in 8 passes
  121. Sun May 18 13:44:07 2025 max relations containing the same ideal: 106
  122. Sun May 18 13:44:56 2025 removing 8836801 relations and 6836801 ideals in 2000000 cliques
  123. Sun May 18 13:45:00 2025 commencing in-memory singleton removal
  124. Sun May 18 13:45:02 2025 begin with 113726219 relations and 112964472 unique ideals
  125. Sun May 18 13:45:07 2025 reduce to 113167867 relations and 105561293 ideals in 9 passes
  126. Sun May 18 13:45:07 2025 max relations containing the same ideal: 103
  127. Sun May 18 13:45:50 2025 removing 8822721 relations and 6822721 ideals in 2000000 cliques
  128. Sun May 18 13:45:54 2025 commencing in-memory singleton removal
  129. Sun May 18 13:45:55 2025 begin with 104345146 relations and 105561293 unique ideals
  130. Sun May 18 13:46:01 2025 reduce to 103738769 relations and 98122775 ideals in 11 passes
  131. Sun May 18 13:46:01 2025 max relations containing the same ideal: 95
  132. Sun May 18 13:46:41 2025 removing 8872019 relations and 6872019 ideals in 2000000 cliques
  133. Sun May 18 13:46:45 2025 commencing in-memory singleton removal
  134. Sun May 18 13:46:46 2025 begin with 94866750 relations and 98122775 unique ideals
  135. Sun May 18 13:46:50 2025 reduce to 94191470 relations and 90564280 ideals in 8 passes
  136. Sun May 18 13:46:50 2025 max relations containing the same ideal: 89
  137. Sun May 18 13:47:29 2025 removing 7673492 relations and 6029713 ideals in 1643779 cliques
  138. Sun May 18 13:47:32 2025 commencing in-memory singleton removal
  139. Sun May 18 13:47:33 2025 begin with 86517978 relations and 90564280 unique ideals
  140. Sun May 18 13:47:37 2025 reduce to 85964908 relations and 83972902 ideals in 8 passes
  141. Sun May 18 13:47:37 2025 max relations containing the same ideal: 85
  142. Sun May 18 13:48:10 2025 removing 88647 relations and 80052 ideals in 8595 cliques
  143. Sun May 18 13:48:12 2025 commencing in-memory singleton removal
  144. Sun May 18 13:48:13 2025 begin with 85876261 relations and 83972902 unique ideals
  145. Sun May 18 13:48:15 2025 reduce to 85876192 relations and 83892781 ideals in 4 passes
  146. Sun May 18 13:48:15 2025 max relations containing the same ideal: 85
  147. Sun May 18 13:48:25 2025 relations with 0 large ideals: 5829
  148. Sun May 18 13:48:25 2025 relations with 1 large ideals: 32014
  149. Sun May 18 13:48:25 2025 relations with 2 large ideals: 451046
  150. Sun May 18 13:48:25 2025 relations with 3 large ideals: 2786624
  151. Sun May 18 13:48:25 2025 relations with 4 large ideals: 9371448
  152. Sun May 18 13:48:25 2025 relations with 5 large ideals: 18892986
  153. Sun May 18 13:48:25 2025 relations with 6 large ideals: 23756474
  154. Sun May 18 13:48:25 2025 relations with 7+ large ideals: 30579771
  155. Sun May 18 13:48:25 2025 commencing 2-way merge
  156. Sun May 18 13:49:17 2025 reduce to 53244028 relation sets and 51260617 unique ideals
  157. Sun May 18 13:49:18 2025 commencing full merge
  158. Sun May 18 14:03:58 2025 memory use: 5980.8 MB
  159. Sun May 18 14:04:01 2025 found 23184040 cycles, need 23104817
  160. Sun May 18 14:04:07 2025 weight of 23104817 cycles is about 2772658328 (120.00/cycle)
  161. Sun May 18 14:04:07 2025 distribution of cycle lengths:
  162. Sun May 18 14:04:07 2025 1 relations: 1915176
  163. Sun May 18 14:04:07 2025 2 relations: 1706937
  164. Sun May 18 14:04:07 2025 3 relations: 1724049
  165. Sun May 18 14:04:07 2025 4 relations: 1669591
  166. Sun May 18 14:04:07 2025 5 relations: 1641353
  167. Sun May 18 14:04:07 2025 6 relations: 1588916
  168. Sun May 18 14:04:07 2025 7 relations: 1493624
  169. Sun May 18 14:04:07 2025 8 relations: 1425528
  170. Sun May 18 14:04:07 2025 9 relations: 1329277
  171. Sun May 18 14:04:07 2025 10+ relations: 8610366
  172. Sun May 18 14:04:07 2025 heaviest cycle: 28 relations
  173. Sun May 18 14:04:11 2025 commencing cycle optimization
  174. Sun May 18 14:04:50 2025 start with 194526927 relations
  175. Sun May 18 14:10:30 2025 pruned 7513827 relations
  176. Sun May 18 14:10:30 2025 memory use: 5479.8 MB
  177. Sun May 18 14:10:31 2025 distribution of cycle lengths:
  178. Sun May 18 14:10:31 2025 1 relations: 1915176
  179. Sun May 18 14:10:31 2025 2 relations: 1753413
  180. Sun May 18 14:10:31 2025 3 relations: 1795285
  181. Sun May 18 14:10:31 2025 4 relations: 1731738
  182. Sun May 18 14:10:31 2025 5 relations: 1709621
  183. Sun May 18 14:10:31 2025 6 relations: 1646388
  184. Sun May 18 14:10:31 2025 7 relations: 1554309
  185. Sun May 18 14:10:31 2025 8 relations: 1471412
  186. Sun May 18 14:10:31 2025 9 relations: 1368799
  187. Sun May 18 14:10:31 2025 10+ relations: 8158676
  188. Sun May 18 14:10:31 2025 heaviest cycle: 28 relations
  189. Sun May 18 14:10:59 2025 RelProcTime: 4919
  190. Sun May 18 14:10:59 2025
  191. Sun May 18 14:10:59 2025 commencing linear algebra
  192. Sun May 18 14:10:59 2025 using VBITS=256
  193. Sun May 18 14:10:59 2025 stopping after matrix build
  194. Sun May 18 14:10:59 2025 initialized process (0,0) of 1 x 1 grid
  195. Sun May 18 14:11:01 2025 read 23104817 cycles
  196. Sun May 18 14:11:37 2025 cycles contain 84455743 unique relations
  197. Sun May 18 14:17:59 2025 read 84455743 relations
  198. Sun May 18 14:18:11 2025 using 20 quadratic characters above 4294917295
  199. Sun May 18 14:18:23 2025 building initial matrix
  200. Sun May 18 14:33:56 2025 memory use: 11793.8 MB
  201. Sun May 18 14:34:12 2025 read 23104817 cycles
  202. Sun May 18 14:34:15 2025 matrix is 23104636 x 23104817 (10982.9 MB) with weight 3358142190 (145.34/col)
  203. Sun May 18 14:34:15 2025 sparse part has weight 2601831341 (112.61/col)
  204. Sun May 18 14:39:14 2025 filtering completed in 2 passes
  205. Sun May 18 14:39:19 2025 matrix is 23102764 x 23102945 (10982.7 MB) with weight 3358051923 (145.35/col)
  206. Sun May 18 14:39:19 2025 sparse part has weight 2601807848 (112.62/col)
  207. Sun May 18 14:41:31 2025 BLanczosTime: 1832
  208. Sun May 18 14:41:31 2025 elapsed time 01:52:31
  209. Sun May 18 15:43:06 2025
  210. Sun May 18 15:43:06 2025
  211. Sun May 18 15:43:06 2025 Msieve v. 1.54 (SVN Unversioned directory)
  212. Sun May 18 15:43:06 2025 random seeds: b47c97fb 219335d9
  213. Sun May 18 15:43:06 2025 Using 96 OpenMP threads
  214. Sun May 18 15:43:06 2025 factoring 2419271559463600429232877641087639005170480257906067408460942740673611729787931365313875107276984391313346025531900342367971685468496036396720291662398062044794168570090424490395547257 (184 digits)
  215. Sun May 18 15:43:07 2025 searching for 15-digit factors
  216. Sun May 18 15:43:07 2025 commencing number field sieve (184-digit input)
  217. Sun May 18 15:43:07 2025 R0: -203357415747254687079961453815024681
  218. Sun May 18 15:43:07 2025 R1: 2928752700470519761
  219. Sun May 18 15:43:07 2025 A0: 1314185573451642911400652870458026690381240720
  220. Sun May 18 15:43:07 2025 A1: 73485223049709872578793742908106362652
  221. Sun May 18 15:43:07 2025 A2: -6182419087248527399539170265894
  222. Sun May 18 15:43:07 2025 A3: -127172206098706404619371
  223. Sun May 18 15:43:07 2025 A4: 2517008797755830
  224. Sun May 18 15:43:07 2025 A5: 6956400
  225. Sun May 18 15:43:07 2025 skew 54037932.34, size 4.849e-18, alpha -8.476, combined = 4.493e-14 rroots = 5
  226. Sun May 18 15:43:07 2025
  227. Sun May 18 15:43:07 2025 commencing linear algebra
  228. Sun May 18 15:43:07 2025 using VBITS=256
  229. Sun May 18 15:43:07 2025 skipping matrix build
  230. Sun May 18 15:43:16 2025 matrix starts at (0, 0)
  231. Sun May 18 15:43:21 2025 matrix is 23102764 x 23102945 (10982.7 MB) with weight 3358051923 (145.35/col)
  232. Sun May 18 15:43:21 2025 sparse part has weight 2601807848 (112.62/col)
  233. Sun May 18 15:43:21 2025 saving the first 240 matrix rows for later
  234. Sun May 18 15:43:28 2025 matrix includes 256 packed rows
  235. Sun May 18 15:43:39 2025 matrix is 23102524 x 23102945 (10034.5 MB) with weight 2399807477 (103.87/col)
  236. Sun May 18 15:43:39 2025 sparse part has weight 2260845700 (97.86/col)
  237. Sun May 18 15:43:39 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  238. Sun May 18 15:45:03 2025 commencing Lanczos iteration (96 threads)
  239. Sun May 18 15:45:03 2025 memory use: 13831.7 MB
  240. Sun May 18 15:48:29 2025 linear algebra at 0.1%, ETA 41h24m
  241. Sun May 18 15:52:52 2025 checking every 10000 dimensions, checkpointing every 610000 dimensions
  242. Tue May 20 03:49:43 2025 lanczos halted after 90516 iterations (dim = 23102524)
  243. Tue May 20 03:51:41 2025 recovered 30 nontrivial dependencies
  244. Tue May 20 03:51:46 2025 BLanczosTime: 130119
  245. Tue May 20 03:51:46 2025
  246. Tue May 20 03:51:46 2025 commencing square root phase
  247. Tue May 20 03:51:46 2025 handling dependencies 1 to 64
  248. Tue May 20 03:51:46 2025 reading relations for dependency 1
  249. Tue May 20 03:51:49 2025 read 11557055 cycles
  250. Tue May 20 03:52:25 2025 cycles contain 42241104 unique relations
  251. Tue May 20 04:01:00 2025 read 42241104 relations
  252. Tue May 20 04:06:48 2025 multiplying 42241104 relations
  253. Tue May 20 04:57:20 2025 multiply complete, coefficients have about 2686.08 million bits
  254. Tue May 20 04:57:29 2025 initial square root is modulo 1058179
  255. Tue May 20 05:20:37 2025 sqrtTime: 5331
  256. Tue May 20 05:20:37 2025 p76 factor: 9375041379278807785571793556214734213576651402766488670455866576136194795077
  257. Tue May 20 05:20:37 2025 p108 factor: 258054494011172814813959327966535419119628910540525085669743864799876510125559874215662780213047634847538341
  258. Tue May 20 05:20:37 2025 elapsed time 37:37:31
  259.  
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