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Sep 24th, 2024
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  1. Sat Jul 20 07:25:00 2024
  2. Sat Jul 20 07:25:00 2024
  3. Sat Jul 20 07:25:00 2024 Msieve v. 1.54 (SVN unknown)
  4. Sat Jul 20 07:25:00 2024 random seeds: 608fdd3d ab19e6d3
  5. Sat Jul 20 07:25:00 2024 factoring 4421945654213169649371242726341253585677206278609112625104995763767068002681750425327675945151574343481464568185908433663563331996412993103744325138289667776416973323205622143332358473530353895321240222311961808052277 (217 digits)
  6. Sat Jul 20 07:25:01 2024 no P-1/P+1/ECM available, skipping
  7. Sat Jul 20 07:25:01 2024 commencing number field sieve (217-digit input)
  8. Sat Jul 20 07:25:01 2024 R0: 2787593149816327892691964784081045188247552
  9. Sat Jul 20 07:25:01 2024 R1: -1
  10. Sat Jul 20 07:25:01 2024 A0: -1
  11. Sat Jul 20 07:25:01 2024 A1: 0
  12. Sat Jul 20 07:25:01 2024 A2: 0
  13. Sat Jul 20 07:25:01 2024 A3: 0
  14. Sat Jul 20 07:25:01 2024 A4: 0
  15. Sat Jul 20 07:25:01 2024 A5: 0
  16. Sat Jul 20 07:25:01 2024 A6: 40
  17. Sat Jul 20 07:25:01 2024 skew 0.58, size 1.468e-12, alpha 0.660, combined = 1.529e-13 rroots = 2
  18. Sat Jul 20 07:25:01 2024
  19. Sat Jul 20 07:25:01 2024 commencing relation filtering
  20. Sat Jul 20 07:25:01 2024 setting target matrix density to 96.0
  21. Sat Jul 20 07:25:01 2024 estimated available RAM is 128798.6 MB
  22. Sat Jul 20 07:25:01 2024 commencing duplicate removal, pass 1
  23. Sat Jul 20 08:24:07 2024 error -9 reading relation 221052279
  24. Sat Jul 20 08:52:28 2024 skipped 1059 relations with b > 2^32
  25. Sat Jul 20 08:52:28 2024 skipped 1 relations with composite factors
  26. Sat Jul 20 08:52:28 2024 skipped 1 malformed relations
  27. Sat Jul 20 08:52:28 2024 found 104816787 hash collisions in 332573732 relations
  28. Sat Jul 20 08:52:57 2024 added 1218855 free relations
  29. Sat Jul 20 08:52:57 2024 commencing duplicate removal, pass 2
  30. Sat Jul 20 08:57:17 2024 found 0 duplicates and 333792587 unique relations
  31. Sat Jul 20 08:57:17 2024 memory use: 4806.0 MB
  32. Sat Jul 20 08:57:18 2024 reading ideals above 720000
  33. Sat Jul 20 08:57:18 2024 commencing singleton removal, initial pass
  34. Sat Jul 20 10:33:52 2024 memory use: 6024.0 MB
  35. Sat Jul 20 10:33:52 2024 reading all ideals from disk
  36. Sat Jul 20 10:34:42 2024 memory use: 16127.1 MB
  37. Sat Jul 20 10:35:47 2024 keeping 312089150 ideals with weight <= 200, target excess is 1836188
  38. Sat Jul 20 10:37:02 2024 commencing in-memory singleton removal
  39. Sat Jul 20 10:38:37 2024 begin with 333792587 relations and 312089150 unique ideals
  40. Sat Jul 20 10:45:25 2024 reduce to 195962235 relations and 158816298 ideals in 15 passes
  41. Sat Jul 20 10:45:25 2024 max relations containing the same ideal: 149
  42. Sat Jul 20 10:48:17 2024 removing 12959675 relations and 10959675 ideals in 2000000 cliques
  43. Sat Jul 20 10:48:26 2024 commencing in-memory singleton removal
  44. Sat Jul 20 10:49:16 2024 begin with 183002560 relations and 158816298 unique ideals
  45. Sat Jul 20 10:52:11 2024 reduce to 182355099 relations and 147200365 ideals in 9 passes
  46. Sat Jul 20 10:52:11 2024 max relations containing the same ideal: 144
  47. Sat Jul 20 10:55:13 2024 removing 9779326 relations and 7779326 ideals in 2000000 cliques
  48. Sat Jul 20 10:55:23 2024 commencing in-memory singleton removal
  49. Sat Jul 20 10:56:09 2024 begin with 172575773 relations and 147200365 unique ideals
  50. Sat Jul 20 10:58:40 2024 reduce to 172154912 relations and 138995261 ideals in 8 passes
  51. Sat Jul 20 10:58:40 2024 max relations containing the same ideal: 138
  52. Sat Jul 20 11:01:21 2024 removing 8795029 relations and 6795029 ideals in 2000000 cliques
  53. Sat Jul 20 11:01:30 2024 commencing in-memory singleton removal
  54. Sat Jul 20 11:02:13 2024 begin with 163359883 relations and 138995261 unique ideals
  55. Sat Jul 20 11:04:32 2024 reduce to 162994484 relations and 131830678 ideals in 8 passes
  56. Sat Jul 20 11:04:32 2024 max relations containing the same ideal: 135
  57. Sat Jul 20 11:06:54 2024 removing 8265792 relations and 6265792 ideals in 2000000 cliques
  58. Sat Jul 20 11:07:02 2024 commencing in-memory singleton removal
  59. Sat Jul 20 11:07:45 2024 begin with 154728692 relations and 131830678 unique ideals
  60. Sat Jul 20 11:10:11 2024 reduce to 154387484 relations and 125219690 ideals in 7 passes
  61. Sat Jul 20 11:10:11 2024 max relations containing the same ideal: 129
  62. Sat Jul 20 11:12:23 2024 removing 7929107 relations and 5929107 ideals in 2000000 cliques
  63. Sat Jul 20 11:12:30 2024 commencing in-memory singleton removal
  64. Sat Jul 20 11:13:08 2024 begin with 146458377 relations and 125219690 unique ideals
  65. Sat Jul 20 11:14:57 2024 reduce to 146128244 relations and 118956459 ideals in 7 passes
  66. Sat Jul 20 11:14:57 2024 max relations containing the same ideal: 126
  67. Sat Jul 20 11:17:10 2024 removing 7698183 relations and 5698183 ideals in 2000000 cliques
  68. Sat Jul 20 11:17:18 2024 commencing in-memory singleton removal
  69. Sat Jul 20 11:17:53 2024 begin with 138430061 relations and 118956459 unique ideals
  70. Sat Jul 20 11:19:41 2024 reduce to 138104578 relations and 112928720 ideals in 7 passes
  71. Sat Jul 20 11:19:41 2024 max relations containing the same ideal: 122
  72. Sat Jul 20 11:21:40 2024 removing 7531582 relations and 5531582 ideals in 2000000 cliques
  73. Sat Jul 20 11:21:47 2024 commencing in-memory singleton removal
  74. Sat Jul 20 11:22:21 2024 begin with 130572996 relations and 112928720 unique ideals
  75. Sat Jul 20 11:24:09 2024 reduce to 130247189 relations and 107067023 ideals in 8 passes
  76. Sat Jul 20 11:24:09 2024 max relations containing the same ideal: 117
  77. Sat Jul 20 11:26:08 2024 removing 7407507 relations and 5407507 ideals in 2000000 cliques
  78. Sat Jul 20 11:26:14 2024 commencing in-memory singleton removal
  79. Sat Jul 20 11:26:46 2024 begin with 122839682 relations and 107067023 unique ideals
  80. Sat Jul 20 11:28:17 2024 reduce to 122506143 relations and 101321361 ideals in 7 passes
  81. Sat Jul 20 11:28:17 2024 max relations containing the same ideal: 113
  82. Sat Jul 20 11:30:01 2024 removing 7323104 relations and 5323104 ideals in 2000000 cliques
  83. Sat Jul 20 11:30:08 2024 commencing in-memory singleton removal
  84. Sat Jul 20 11:30:37 2024 begin with 115183039 relations and 101321361 unique ideals
  85. Sat Jul 20 11:32:00 2024 reduce to 114838736 relations and 95648927 ideals in 7 passes
  86. Sat Jul 20 11:32:00 2024 max relations containing the same ideal: 108
  87. Sat Jul 20 11:33:38 2024 removing 7266883 relations and 5266883 ideals in 2000000 cliques
  88. Sat Jul 20 11:33:44 2024 commencing in-memory singleton removal
  89. Sat Jul 20 11:34:11 2024 begin with 107571853 relations and 95648927 unique ideals
  90. Sat Jul 20 11:35:42 2024 reduce to 107214345 relations and 90018766 ideals in 7 passes
  91. Sat Jul 20 11:35:42 2024 max relations containing the same ideal: 101
  92. Sat Jul 20 11:37:17 2024 removing 7237253 relations and 5237253 ideals in 2000000 cliques
  93. Sat Jul 20 11:37:23 2024 commencing in-memory singleton removal
  94. Sat Jul 20 11:37:49 2024 begin with 99977092 relations and 90018766 unique ideals
  95. Sat Jul 20 11:38:59 2024 reduce to 99598405 relations and 84396624 ideals in 7 passes
  96. Sat Jul 20 11:38:59 2024 max relations containing the same ideal: 96
  97. Sat Jul 20 11:40:23 2024 removing 7224684 relations and 5224684 ideals in 2000000 cliques
  98. Sat Jul 20 11:40:29 2024 commencing in-memory singleton removal
  99. Sat Jul 20 11:40:52 2024 begin with 92373721 relations and 84396624 unique ideals
  100. Sat Jul 20 11:42:01 2024 reduce to 91970153 relations and 78761216 ideals in 7 passes
  101. Sat Jul 20 11:42:01 2024 max relations containing the same ideal: 91
  102. Sat Jul 20 11:43:22 2024 removing 7236621 relations and 5236621 ideals in 2000000 cliques
  103. Sat Jul 20 11:43:27 2024 commencing in-memory singleton removal
  104. Sat Jul 20 11:43:48 2024 begin with 84733532 relations and 78761216 unique ideals
  105. Sat Jul 20 11:44:56 2024 reduce to 84294530 relations and 73077312 ideals in 8 passes
  106. Sat Jul 20 11:44:56 2024 max relations containing the same ideal: 85
  107. Sat Jul 20 11:46:13 2024 removing 7269689 relations and 5269689 ideals in 2000000 cliques
  108. Sat Jul 20 11:46:18 2024 commencing in-memory singleton removal
  109. Sat Jul 20 11:46:37 2024 begin with 77024841 relations and 73077312 unique ideals
  110. Sat Jul 20 11:47:36 2024 reduce to 76539230 relations and 67312054 ideals in 8 passes
  111. Sat Jul 20 11:47:36 2024 max relations containing the same ideal: 80
  112. Sat Jul 20 11:48:40 2024 removing 7337164 relations and 5337164 ideals in 2000000 cliques
  113. Sat Jul 20 11:48:45 2024 commencing in-memory singleton removal
  114. Sat Jul 20 11:49:02 2024 begin with 69202066 relations and 67312054 unique ideals
  115. Sat Jul 20 11:49:56 2024 reduce to 68656484 relations and 61417269 ideals in 8 passes
  116. Sat Jul 20 11:49:56 2024 max relations containing the same ideal: 77
  117. Sat Jul 20 11:50:57 2024 removing 7437859 relations and 5437859 ideals in 2000000 cliques
  118. Sat Jul 20 11:51:01 2024 commencing in-memory singleton removal
  119. Sat Jul 20 11:51:16 2024 begin with 61218625 relations and 61417269 unique ideals
  120. Sat Jul 20 11:52:06 2024 reduce to 60585997 relations and 55331106 ideals in 8 passes
  121. Sat Jul 20 11:52:06 2024 max relations containing the same ideal: 68
  122. Sat Jul 20 11:53:00 2024 removing 7579217 relations and 5579217 ideals in 2000000 cliques
  123. Sat Jul 20 11:53:05 2024 commencing in-memory singleton removal
  124. Sat Jul 20 11:53:18 2024 begin with 53006780 relations and 55331106 unique ideals
  125. Sat Jul 20 11:54:04 2024 reduce to 52242848 relations and 48966497 ideals in 9 passes
  126. Sat Jul 20 11:54:04 2024 max relations containing the same ideal: 62
  127. Sat Jul 20 11:54:50 2024 removing 5016443 relations and 3870071 ideals in 1146372 cliques
  128. Sat Jul 20 11:54:54 2024 commencing in-memory singleton removal
  129. Sat Jul 20 11:55:05 2024 begin with 47226405 relations and 48966497 unique ideals
  130. Sat Jul 20 11:55:46 2024 reduce to 46846105 relations and 44708807 ideals in 9 passes
  131. Sat Jul 20 11:55:46 2024 max relations containing the same ideal: 57
  132. Sat Jul 20 11:56:38 2024 relations with 0 large ideals: 66253
  133. Sat Jul 20 11:56:38 2024 relations with 1 large ideals: 89013
  134. Sat Jul 20 11:56:38 2024 relations with 2 large ideals: 781994
  135. Sat Jul 20 11:56:38 2024 relations with 3 large ideals: 3510834
  136. Sat Jul 20 11:56:38 2024 relations with 4 large ideals: 8667385
  137. Sat Jul 20 11:56:38 2024 relations with 5 large ideals: 12677753
  138. Sat Jul 20 11:56:38 2024 relations with 6 large ideals: 11399173
  139. Sat Jul 20 11:56:38 2024 relations with 7+ large ideals: 9653700
  140. Sat Jul 20 11:56:38 2024 commencing 2-way merge
  141. Sat Jul 20 11:57:37 2024 reduce to 28486209 relation sets and 26348911 unique ideals
  142. Sat Jul 20 11:57:37 2024 commencing full merge
  143. Sat Jul 20 12:11:44 2024 memory use: 3196.5 MB
  144. Sat Jul 20 12:11:49 2024 found 13648040 cycles, need 13373111
  145. Sat Jul 20 12:11:55 2024 weight of 13373111 cycles is about 1284163426 (96.03/cycle)
  146. Sat Jul 20 12:11:55 2024 distribution of cycle lengths:
  147. Sat Jul 20 12:11:55 2024 1 relations: 1263779
  148. Sat Jul 20 12:11:55 2024 2 relations: 1120652
  149. Sat Jul 20 12:11:55 2024 3 relations: 1124064
  150. Sat Jul 20 12:11:55 2024 4 relations: 1112450
  151. Sat Jul 20 12:11:55 2024 5 relations: 1111434
  152. Sat Jul 20 12:11:55 2024 6 relations: 1061783
  153. Sat Jul 20 12:11:55 2024 7 relations: 1022745
  154. Sat Jul 20 12:11:55 2024 8 relations: 945896
  155. Sat Jul 20 12:11:55 2024 9 relations: 856819
  156. Sat Jul 20 12:11:55 2024 10+ relations: 3753489
  157. Sat Jul 20 12:11:55 2024 heaviest cycle: 24 relations
  158. Sat Jul 20 12:12:03 2024 commencing cycle optimization
  159. Sat Jul 20 12:12:43 2024 start with 94324654 relations
  160. Sat Jul 20 12:17:06 2024 pruned 3095259 relations
  161. Sat Jul 20 12:17:08 2024 memory use: 2852.4 MB
  162. Sat Jul 20 12:17:08 2024 distribution of cycle lengths:
  163. Sat Jul 20 12:17:08 2024 1 relations: 1263779
  164. Sat Jul 20 12:17:08 2024 2 relations: 1144944
  165. Sat Jul 20 12:17:08 2024 3 relations: 1164504
  166. Sat Jul 20 12:17:08 2024 4 relations: 1149164
  167. Sat Jul 20 12:17:08 2024 5 relations: 1154425
  168. Sat Jul 20 12:17:08 2024 6 relations: 1101236
  169. Sat Jul 20 12:17:08 2024 7 relations: 1061387
  170. Sat Jul 20 12:17:08 2024 8 relations: 975203
  171. Sat Jul 20 12:17:08 2024 9 relations: 878347
  172. Sat Jul 20 12:17:08 2024 10+ relations: 3480122
  173. Sat Jul 20 12:17:08 2024 heaviest cycle: 24 relations
  174. Sat Jul 20 12:17:51 2024 RelProcTime: 17570
  175. Sat Jul 20 12:17:51 2024 elapsed time 04:52:51
  176. Sat Jul 20 12:23:49 2024
  177. Sat Jul 20 12:23:49 2024
  178. Sat Jul 20 12:23:49 2024 Msieve v. 1.54 (SVN unknown)
  179. Sat Jul 20 12:23:49 2024 random seeds: fade7526 4394b9e5
  180. Sat Jul 20 12:23:49 2024 factoring 4421945654213169649371242726341253585677206278609112625104995763767068002681750425327675945151574343481464568185908433663563331996412993103744325138289667776416973323205622143332358473530353895321240222311961808052277 (217 digits)
  181. Sat Jul 20 12:23:50 2024 no P-1/P+1/ECM available, skipping
  182. Sat Jul 20 12:23:50 2024 commencing number field sieve (217-digit input)
  183. Sat Jul 20 12:23:50 2024 R0: 2787593149816327892691964784081045188247552
  184. Sat Jul 20 12:23:50 2024 R1: -1
  185. Sat Jul 20 12:23:50 2024 A0: -1
  186. Sat Jul 20 12:23:50 2024 A1: 0
  187. Sat Jul 20 12:23:50 2024 A2: 0
  188. Sat Jul 20 12:23:50 2024 A3: 0
  189. Sat Jul 20 12:23:50 2024 A4: 0
  190. Sat Jul 20 12:23:50 2024 A5: 0
  191. Sat Jul 20 12:23:50 2024 A6: 40
  192. Sat Jul 20 12:23:50 2024 skew 0.58, size 1.468e-12, alpha 0.660, combined = 1.529e-13 rroots = 2
  193. Sat Jul 20 12:23:50 2024
  194. Sat Jul 20 12:23:50 2024 commencing linear algebra
  195. Sat Jul 20 12:23:50 2024 using VBITS=128
  196. Sat Jul 20 12:23:53 2024 read 13373111 cycles
  197. Sat Jul 20 12:24:36 2024 cycles contain 45435602 unique relations
  198. Sat Jul 20 12:34:40 2024 read 45435602 relations
  199. Sat Jul 20 12:36:32 2024 using 20 quadratic characters above 4294917295
  200. Sat Jul 20 12:41:30 2024 building initial matrix
  201. Sat Jul 20 12:58:07 2024 memory use: 5794.6 MB
  202. Sat Jul 20 12:58:22 2024 read 13373111 cycles
  203. Sat Jul 20 12:58:25 2024 matrix is 13372923 x 13373111 (5219.1 MB) with weight 1517655572 (113.49/col)
  204. Sat Jul 20 12:58:25 2024 sparse part has weight 1221062120 (91.31/col)
  205. Sat Jul 20 13:03:13 2024 filtering completed in 2 passes
  206. Sat Jul 20 13:03:17 2024 matrix is 13367625 x 13367810 (5218.6 MB) with weight 1517446642 (113.51/col)
  207. Sat Jul 20 13:03:17 2024 sparse part has weight 1220970554 (91.34/col)
  208. Sat Jul 20 13:04:43 2024 matrix starts at (0, 0)
  209. Sat Jul 20 13:04:46 2024 matrix is 13367625 x 13367810 (5218.6 MB) with weight 1517446642 (113.51/col)
  210. Sat Jul 20 13:04:46 2024 sparse part has weight 1220970554 (91.34/col)
  211. Sat Jul 20 13:04:46 2024 saving the first 112 matrix rows for later
  212. Sat Jul 20 13:04:50 2024 matrix includes 128 packed rows
  213. Sat Jul 20 13:04:55 2024 matrix is 13367513 x 13367810 (4878.8 MB) with weight 1182023668 (88.42/col)
  214. Sat Jul 20 13:04:55 2024 sparse part has weight 1118540581 (83.67/col)
  215. Sat Jul 20 13:04:56 2024 using GPU 0 (Tesla P100-PCIE-16GB)
  216. Sat Jul 20 13:04:56 2024 selected card has CUDA arch 6.0
  217. Sat Jul 20 13:08:11 2024 commencing Lanczos iteration
  218. Sat Jul 20 13:08:12 2024 memory use: 10267.6 MB
  219. Sat Jul 20 13:10:01 2024 linear algebra at 0.2%, ETA 13h 6m
  220. Sat Jul 20 13:10:29 2024 checking every 10000 dimensions, checkpointing every 1020000 dimensions
  221. Sun Jul 21 02:16:34 2024 lanczos halted after 105061 iterations (dim = 13367509)
  222. Sun Jul 21 02:17:15 2024 recovered 35 nontrivial dependencies
  223. Sun Jul 21 02:17:16 2024 BLanczosTime: 50006
  224. Sun Jul 21 02:17:16 2024
  225. Sun Jul 21 02:17:16 2024 commencing square root phase
  226. Sun Jul 21 02:17:16 2024 reading relations for dependency 1
  227. Sun Jul 21 02:17:21 2024 read 6685676 cycles
  228. Sun Jul 21 02:17:42 2024 cycles contain 22722808 unique relations
  229. Sun Jul 21 02:23:42 2024 read 22722808 relations
  230. Sun Jul 21 02:26:46 2024 multiplying 22722808 relations
  231. Sun Jul 21 03:03:16 2024 multiply complete, coefficients have about 692.22 million bits
  232. Sun Jul 21 03:03:20 2024 initial square root is modulo 1622953
  233. Sun Jul 21 03:34:38 2024 GCD is 1, no factor found
  234. Sun Jul 21 03:34:38 2024 reading relations for dependency 2
  235. Sun Jul 21 03:34:48 2024 read 6683087 cycles
  236. Sun Jul 21 03:35:13 2024 cycles contain 22714692 unique relations
  237. Sun Jul 21 03:41:12 2024 read 22714692 relations
  238. Sun Jul 21 03:44:15 2024 multiplying 22714692 relations
  239. Sun Jul 21 04:21:03 2024 multiply complete, coefficients have about 691.98 million bits
  240. Sun Jul 21 04:21:07 2024 initial square root is modulo 1615183
  241. Sun Jul 21 04:52:07 2024 GCD is N, no factor found
  242. Sun Jul 21 04:52:07 2024 reading relations for dependency 3
  243. Sun Jul 21 04:52:13 2024 read 6682021 cycles
  244. Sun Jul 21 04:52:34 2024 cycles contain 22716540 unique relations
  245. Sun Jul 21 04:57:43 2024 read 22716540 relations
  246. Sun Jul 21 05:00:48 2024 multiplying 22716540 relations
  247. Sun Jul 21 05:37:30 2024 multiply complete, coefficients have about 692.03 million bits
  248. Sun Jul 21 05:37:34 2024 initial square root is modulo 1616473
  249. Sun Jul 21 06:08:29 2024 sqrtTime: 13873
  250. Sun Jul 21 06:08:29 2024 p103 factor: 5344167356036741013464532137827926850520565436167080231042224382219106638286866730603483356698371386449
  251. Sun Jul 21 06:08:29 2024 p114 factor: 827433977945725262284717912658614900170908946473656205233090307436587120499015238008202016680889386391532089233573
  252. Sun Jul 21 06:08:29 2024 elapsed time 17:44:40
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