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May 16th, 2024
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  1. Wed May 8 06:45:16 2024
  2. Wed May 8 06:45:16 2024
  3. Wed May 8 06:45:16 2024 Msieve v. 1.54 (SVN 1044M)
  4. Wed May 8 06:45:16 2024 random seeds: 404e728a ea46c1ab
  5. Wed May 8 06:45:16 2024 factoring 2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887 (256 digits)
  6. Wed May 8 06:45:18 2024 no P-1/P+1/ECM available, skipping
  7. Wed May 8 06:45:18 2024 commencing number field sieve (256-digit input)
  8. Wed May 8 06:45:18 2024 R0: -1000000000000000000000000000000000000000000
  9. Wed May 8 06:45:18 2024 R1: 1
  10. Wed May 8 06:45:18 2024 A0: -17
  11. Wed May 8 06:45:18 2024 A1: 0
  12. Wed May 8 06:45:18 2024 A2: 0
  13. Wed May 8 06:45:18 2024 A3: 0
  14. Wed May 8 06:45:18 2024 A4: 0
  15. Wed May 8 06:45:18 2024 A5: 0
  16. Wed May 8 06:45:18 2024 A6: 26000
  17. Wed May 8 06:45:18 2024 skew 1.00, size 7.030e-13, alpha -0.696, combined = 8.802e-14 rroots = 2
  18. Wed May 8 06:45:18 2024
  19. Wed May 8 06:45:18 2024 commencing relation filtering
  20. Wed May 8 06:45:18 2024 setting target matrix density to 128.0
  21. Wed May 8 06:45:18 2024 estimated available RAM is 15960.0 MB
  22. Wed May 8 06:45:18 2024 commencing duplicate removal, pass 1
  23. Wed May 8 06:50:40 2024 error -15 reading relation 22382310
  24. Wed May 8 06:58:24 2024 error -15 reading relation 55598799
  25. Wed May 8 07:04:17 2024 error -11 reading relation 83238642
  26. Wed May 8 07:04:17 2024 error -11 reading relation 83245411
  27. Wed May 8 07:04:17 2024 error -11 reading relation 83247143
  28. Wed May 8 07:04:17 2024 error -11 reading relation 83247144
  29. Wed May 8 07:04:17 2024 error -11 reading relation 83247145
  30. Wed May 8 07:04:17 2024 error -6 reading relation 83247146
  31. Wed May 8 07:04:17 2024 error -11 reading relation 83252733
  32. Wed May 8 07:15:00 2024 error -11 reading relation 133074964
  33. Wed May 8 07:15:00 2024 error -11 reading relation 133075108
  34. Wed May 8 07:20:30 2024 error -11 reading relation 158592557
  35. Wed May 8 07:25:36 2024 error -11 reading relation 182440659
  36. Wed May 8 07:25:36 2024 error -11 reading relation 182441597
  37. Wed May 8 07:25:38 2024 error -11 reading relation 182523630
  38. Wed May 8 07:29:08 2024 error -11 reading relation 198660502
  39. Wed May 8 07:30:01 2024 skipped 3149 relations with b > 2^32
  40. Wed May 8 07:30:01 2024 skipped 2 relations with composite factors
  41. Wed May 8 07:30:01 2024 found 8912637 hash collisions in 201771687 relations
  42. Wed May 8 07:30:24 2024 commencing duplicate removal, pass 2
  43. Wed May 8 07:31:59 2024 found 0 duplicates and 201771687 unique relations
  44. Wed May 8 07:31:59 2024 memory use: 522.4 MB
  45. Wed May 8 07:31:59 2024 reading ideals above 171114496
  46. Wed May 8 07:31:59 2024 commencing singleton removal, initial pass
  47. Wed May 8 08:00:26 2024 memory use: 3012.0 MB
  48. Wed May 8 08:00:27 2024 reading all ideals from disk
  49. Wed May 8 08:00:35 2024 memory use: 3551.8 MB
  50. Wed May 8 08:00:47 2024 commencing in-memory singleton removal
  51. Wed May 8 08:01:01 2024 begin with 201771687 relations and 162816887 unique ideals
  52. Wed May 8 08:03:44 2024 reduce to 140403097 relations and 95989425 ideals in 13 passes
  53. Wed May 8 08:03:44 2024 max relations containing the same ideal: 48
  54. Wed May 8 08:04:01 2024 reading ideals above 720000
  55. Wed May 8 08:04:01 2024 commencing singleton removal, initial pass
  56. Wed May 8 08:34:33 2024 memory use: 3012.0 MB
  57. Wed May 8 08:34:34 2024 reading all ideals from disk
  58. Wed May 8 08:34:50 2024 memory use: 5773.8 MB
  59. Wed May 8 08:35:09 2024 keeping 114364998 ideals with weight <= 200, target excess is 743826
  60. Wed May 8 08:35:29 2024 commencing in-memory singleton removal
  61. Wed May 8 08:35:39 2024 begin with 140403097 relations and 114364998 unique ideals
  62. Wed May 8 08:36:51 2024 reduce to 140398252 relations and 114360153 ideals in 7 passes
  63. Wed May 8 08:36:51 2024 max relations containing the same ideal: 200
  64. Wed May 8 08:37:43 2024 removing 10646193 relations and 8646193 ideals in 2000000 cliques
  65. Wed May 8 08:37:48 2024 commencing in-memory singleton removal
  66. Wed May 8 08:37:57 2024 begin with 129752059 relations and 114360153 unique ideals
  67. Wed May 8 08:39:41 2024 reduce to 129104525 relations and 105054303 ideals in 8 passes
  68. Wed May 8 08:39:41 2024 max relations containing the same ideal: 197
  69. Wed May 8 08:41:16 2024 removing 8201637 relations and 6201637 ideals in 2000000 cliques
  70. Wed May 8 08:41:25 2024 commencing in-memory singleton removal
  71. Wed May 8 08:41:40 2024 begin with 120902888 relations and 105054303 unique ideals
  72. Wed May 8 08:43:36 2024 reduce to 120466589 relations and 98409397 ideals in 7 passes
  73. Wed May 8 08:43:36 2024 max relations containing the same ideal: 191
  74. Wed May 8 08:45:09 2024 removing 7482635 relations and 5482635 ideals in 2000000 cliques
  75. Wed May 8 08:45:17 2024 commencing in-memory singleton removal
  76. Wed May 8 08:45:31 2024 begin with 112983954 relations and 98409397 unique ideals
  77. Wed May 8 08:47:11 2024 reduce to 112596853 relations and 92533491 ideals in 7 passes
  78. Wed May 8 08:47:11 2024 max relations containing the same ideal: 184
  79. Wed May 8 08:48:40 2024 removing 7127188 relations and 5127188 ideals in 2000000 cliques
  80. Wed May 8 08:48:48 2024 commencing in-memory singleton removal
  81. Wed May 8 08:49:03 2024 begin with 105469665 relations and 92533491 unique ideals
  82. Wed May 8 08:50:39 2024 reduce to 105102107 relations and 87032698 ideals in 7 passes
  83. Wed May 8 08:50:39 2024 max relations containing the same ideal: 176
  84. Wed May 8 08:51:54 2024 removing 6904136 relations and 4904136 ideals in 2000000 cliques
  85. Wed May 8 08:52:02 2024 commencing in-memory singleton removal
  86. Wed May 8 08:52:15 2024 begin with 98197971 relations and 87032698 unique ideals
  87. Wed May 8 08:54:02 2024 reduce to 97836551 relations and 81760851 ideals in 8 passes
  88. Wed May 8 08:54:02 2024 max relations containing the same ideal: 169
  89. Wed May 8 08:55:14 2024 removing 6771504 relations and 4771504 ideals in 2000000 cliques
  90. Wed May 8 08:55:20 2024 commencing in-memory singleton removal
  91. Wed May 8 08:55:30 2024 begin with 91065047 relations and 81760851 unique ideals
  92. Wed May 8 08:56:55 2024 reduce to 90700083 relations and 76617824 ideals in 7 passes
  93. Wed May 8 08:56:55 2024 max relations containing the same ideal: 161
  94. Wed May 8 08:57:57 2024 removing 6682591 relations and 4682591 ideals in 2000000 cliques
  95. Wed May 8 08:58:03 2024 commencing in-memory singleton removal
  96. Wed May 8 08:58:13 2024 begin with 84017492 relations and 76617824 unique ideals
  97. Wed May 8 08:59:25 2024 reduce to 83641722 relations and 71552036 ideals in 7 passes
  98. Wed May 8 08:59:25 2024 max relations containing the same ideal: 153
  99. Wed May 8 09:00:29 2024 removing 6629579 relations and 4629579 ideals in 2000000 cliques
  100. Wed May 8 09:00:35 2024 commencing in-memory singleton removal
  101. Wed May 8 09:00:45 2024 begin with 77012143 relations and 71552036 unique ideals
  102. Wed May 8 09:01:45 2024 reduce to 76618568 relations and 66520786 ideals in 6 passes
  103. Wed May 8 09:01:45 2024 max relations containing the same ideal: 144
  104. Wed May 8 09:02:46 2024 removing 6605343 relations and 4605343 ideals in 2000000 cliques
  105. Wed May 8 09:02:51 2024 commencing in-memory singleton removal
  106. Wed May 8 09:03:01 2024 begin with 70013225 relations and 66520786 unique ideals
  107. Wed May 8 09:04:07 2024 reduce to 69594439 relations and 61487204 ideals in 7 passes
  108. Wed May 8 09:04:07 2024 max relations containing the same ideal: 133
  109. Wed May 8 09:05:00 2024 removing 6600679 relations and 4600679 ideals in 2000000 cliques
  110. Wed May 8 09:05:06 2024 commencing in-memory singleton removal
  111. Wed May 8 09:05:13 2024 begin with 62993760 relations and 61487204 unique ideals
  112. Wed May 8 09:06:10 2024 reduce to 62540610 relations and 56422163 ideals in 7 passes
  113. Wed May 8 09:06:10 2024 max relations containing the same ideal: 126
  114. Wed May 8 09:07:01 2024 removing 6618922 relations and 4618922 ideals in 2000000 cliques
  115. Wed May 8 09:07:06 2024 commencing in-memory singleton removal
  116. Wed May 8 09:07:14 2024 begin with 55921688 relations and 56422163 unique ideals
  117. Wed May 8 09:08:12 2024 reduce to 55421436 relations and 51289327 ideals in 8 passes
  118. Wed May 8 09:08:12 2024 max relations containing the same ideal: 116
  119. Wed May 8 09:08:58 2024 removing 6650588 relations and 4650588 ideals in 2000000 cliques
  120. Wed May 8 09:09:03 2024 commencing in-memory singleton removal
  121. Wed May 8 09:09:08 2024 begin with 48770848 relations and 51289327 unique ideals
  122. Wed May 8 09:09:59 2024 reduce to 48199057 relations and 46049614 ideals in 8 passes
  123. Wed May 8 09:09:59 2024 max relations containing the same ideal: 107
  124. Wed May 8 09:10:33 2024 removing 4694709 relations and 3408105 ideals in 1286604 cliques
  125. Wed May 8 09:10:37 2024 commencing in-memory singleton removal
  126. Wed May 8 09:10:43 2024 begin with 43504348 relations and 46049614 unique ideals
  127. Wed May 8 09:11:21 2024 reduce to 43177228 relations and 42307042 ideals in 7 passes
  128. Wed May 8 09:11:21 2024 max relations containing the same ideal: 98
  129. Wed May 8 09:12:05 2024 relations with 0 large ideals: 27529
  130. Wed May 8 09:12:05 2024 relations with 1 large ideals: 8776
  131. Wed May 8 09:12:05 2024 relations with 2 large ideals: 93512
  132. Wed May 8 09:12:05 2024 relations with 3 large ideals: 695701
  133. Wed May 8 09:12:05 2024 relations with 4 large ideals: 2820901
  134. Wed May 8 09:12:05 2024 relations with 5 large ideals: 6924527
  135. Wed May 8 09:12:05 2024 relations with 6 large ideals: 10739487
  136. Wed May 8 09:12:05 2024 relations with 7+ large ideals: 21866795
  137. Wed May 8 09:12:05 2024 commencing 2-way merge
  138. Wed May 8 09:12:48 2024 reduce to 28801865 relation sets and 27931679 unique ideals
  139. Wed May 8 09:12:48 2024 commencing full merge
  140. Wed May 8 09:31:24 2024 memory use: 3846.0 MB
  141. Wed May 8 09:31:29 2024 found 12887571 cycles, need 12879879
  142. Wed May 8 09:31:37 2024 weight of 12879879 cycles is about 1648805843 (128.01/cycle)
  143. Wed May 8 09:31:37 2024 distribution of cycle lengths:
  144. Wed May 8 09:31:37 2024 1 relations: 503749
  145. Wed May 8 09:31:37 2024 2 relations: 736420
  146. Wed May 8 09:31:37 2024 3 relations: 876461
  147. Wed May 8 09:31:37 2024 4 relations: 915559
  148. Wed May 8 09:31:37 2024 5 relations: 936876
  149. Wed May 8 09:31:37 2024 6 relations: 931354
  150. Wed May 8 09:31:37 2024 7 relations: 914763
  151. Wed May 8 09:31:37 2024 8 relations: 878700
  152. Wed May 8 09:31:37 2024 9 relations: 827507
  153. Wed May 8 09:31:37 2024 10+ relations: 5358490
  154. Wed May 8 09:31:37 2024 heaviest cycle: 28 relations
  155. Wed May 8 09:31:42 2024 commencing cycle optimization
  156. Wed May 8 09:32:21 2024 start with 117779060 relations
  157. Wed May 8 09:38:37 2024 pruned 5901185 relations
  158. Wed May 8 09:38:37 2024 memory use: 3007.1 MB
  159. Wed May 8 09:38:37 2024 distribution of cycle lengths:
  160. Wed May 8 09:38:37 2024 1 relations: 503749
  161. Wed May 8 09:38:37 2024 2 relations: 755539
  162. Wed May 8 09:38:37 2024 3 relations: 915609
  163. Wed May 8 09:38:37 2024 4 relations: 956382
  164. Wed May 8 09:38:37 2024 5 relations: 987350
  165. Wed May 8 09:38:37 2024 6 relations: 980202
  166. Wed May 8 09:38:37 2024 7 relations: 965906
  167. Wed May 8 09:38:37 2024 8 relations: 925042
  168. Wed May 8 09:38:37 2024 9 relations: 870720
  169. Wed May 8 09:38:37 2024 10+ relations: 5019380
  170. Wed May 8 09:38:37 2024 heaviest cycle: 28 relations
  171. Wed May 8 09:39:15 2024 RelProcTime: 10437
  172. Wed May 8 09:39:15 2024 elapsed time 02:53:59
  173. Wed May 8 12:55:35 2024
  174. Wed May 8 12:55:35 2024
  175. Wed May 8 12:55:35 2024 Msieve v. 1.54 (SVN 1044M)
  176. Wed May 8 12:55:35 2024 random seeds: ef05bb63 5992c023
  177. Wed May 8 12:55:35 2024 factoring 2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887 (256 digits)
  178. Wed May 8 12:55:36 2024 no P-1/P+1/ECM available, skipping
  179. Wed May 8 12:55:36 2024 commencing number field sieve (256-digit input)
  180. Wed May 8 12:55:36 2024 R0: -1000000000000000000000000000000000000000000
  181. Wed May 8 12:55:36 2024 R1: 1
  182. Wed May 8 12:55:36 2024 A0: -17
  183. Wed May 8 12:55:36 2024 A1: 0
  184. Wed May 8 12:55:36 2024 A2: 0
  185. Wed May 8 12:55:36 2024 A3: 0
  186. Wed May 8 12:55:36 2024 A4: 0
  187. Wed May 8 12:55:36 2024 A5: 0
  188. Wed May 8 12:55:36 2024 A6: 26000
  189. Wed May 8 12:55:36 2024 skew 1.00, size 7.030e-13, alpha -0.696, combined = 8.802e-14 rroots = 2
  190. Wed May 8 12:55:36 2024
  191. Wed May 8 12:55:36 2024 commencing linear algebra
  192. Wed May 8 12:55:37 2024 read 12879879 cycles
  193. Wed May 8 12:55:58 2024 cycles contain 42680597 unique relations
  194. Wed May 8 12:59:30 2024 read 42680597 relations
  195. Wed May 8 13:00:42 2024 using 20 quadratic characters above 4294917295
  196. Wed May 8 13:03:24 2024 building initial matrix
  197. Wed May 8 13:12:10 2024 memory use: 5662.3 MB
  198. Wed May 8 13:12:15 2024 read 12879879 cycles
  199. Wed May 8 13:12:17 2024 matrix is 12879702 x 12879879 (6374.2 MB) with weight 1817578647 (141.12/col)
  200. Wed May 8 13:12:17 2024 sparse part has weight 1529269394 (118.73/col)
  201. Wed May 8 13:14:54 2024 filtering completed in 2 passes
  202. Wed May 8 13:14:57 2024 matrix is 12879633 x 12879806 (6374.2 MB) with weight 1817576152 (141.12/col)
  203. Wed May 8 13:14:57 2024 sparse part has weight 1529268611 (118.73/col)
  204. Wed May 8 13:15:40 2024 matrix starts at (0, 0)
  205. Wed May 8 13:15:41 2024 matrix is 12879633 x 12879806 (6374.2 MB) with weight 1817576152 (141.12/col)
  206. Wed May 8 13:15:41 2024 sparse part has weight 1529268611 (118.73/col)
  207. Wed May 8 13:15:41 2024 saving the first 240 matrix rows for later
  208. Wed May 8 13:15:44 2024 matrix includes 256 packed rows
  209. Wed May 8 13:15:49 2024 matrix is 12879393 x 12879806 (5858.9 MB) with weight 1400598657 (108.74/col)
  210. Wed May 8 13:15:49 2024 sparse part has weight 1329788398 (103.25/col)
  211. Wed May 8 13:15:49 2024 using block size 8192 and superblock size 147456 for processor cache size 6144 kB
  212. Wed May 8 13:16:28 2024 commencing Lanczos iteration (4 threads)
  213. Wed May 8 13:16:28 2024 memory use: 7911.8 MB
  214. Wed May 8 13:17:48 2024 linear algebra at 0.0%, ETA 158h40m
  215. Wed May 8 13:18:11 2024 checkpointing every 90000 dimensions
  216. Thu May 16 00:00:04 2024 lanczos halted after 50463 iterations (dim = 12879393)
  217. Thu May 16 00:00:57 2024 recovered 37 nontrivial dependencies
  218. Thu May 16 00:00:58 2024 BLanczosTime: 644722
  219. Thu May 16 00:00:58 2024
  220. Thu May 16 00:00:58 2024 commencing square root phase
  221. Thu May 16 00:00:58 2024 reading relations for dependency 1
  222. Thu May 16 00:00:59 2024 read 6443275 cycles
  223. Thu May 16 00:01:11 2024 cycles contain 21345338 unique relations
  224. Thu May 16 00:03:10 2024 read 21345338 relations
  225. Thu May 16 00:04:38 2024 multiplying 21345338 relations
  226. Thu May 16 00:25:50 2024 multiply complete, coefficients have about 849.76 million bits
  227. Thu May 16 00:25:52 2024 initial square root is modulo 42036373
  228. Thu May 16 00:48:28 2024 GCD is 1, no factor found
  229. Thu May 16 00:48:28 2024 reading relations for dependency 2
  230. Thu May 16 00:48:29 2024 read 6438566 cycles
  231. Thu May 16 00:48:41 2024 cycles contain 21341282 unique relations
  232. Thu May 16 00:50:38 2024 read 21341282 relations
  233. Thu May 16 00:52:01 2024 multiplying 21341282 relations
  234. Thu May 16 01:13:09 2024 multiply complete, coefficients have about 849.59 million bits
  235. Thu May 16 01:13:11 2024 initial square root is modulo 41888131
  236. Thu May 16 01:35:44 2024 sqrtTime: 5686
  237. Thu May 16 01:35:44 2024 p107 factor: 13020212604036942513785648407566601080540558467637720334322378007178016691731523884139032869911748617171517
  238. Thu May 16 01:35:44 2024 p150 factor: 221877244000853197261944317650053899170637364722462993121928052004181625536472948088292717182643697183704737338894013205205644651098053431402215476611
  239. Thu May 16 01:35:44 2024 elapsed time 180:40:09
  240.  
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