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gchilders

52994926300350223824875516968726113151^7-1

Jul 31st, 2021
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  1. Fri Jul 30 22:09:14 2021
  2. Fri Jul 30 22:09:14 2021
  3. Fri Jul 30 22:09:14 2021 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Jul 30 22:09:14 2021 random seeds: f43784b3 c5a4ee36
  5. Fri Jul 30 22:09:14 2021 factoring 5228129772968729064175518830253596589138496942560045271111526445692304447844874317970671797982372221354921825325762158719713279799380986212248150803177642716168515969804811450259732029 (184 digits)
  6. Fri Jul 30 22:09:16 2021 no P-1/P+1/ECM available, skipping
  7. Fri Jul 30 22:09:16 2021 commencing number field sieve (184-digit input)
  8. Fri Jul 30 22:09:17 2021 R0: 52994926300350223824875516968726113151
  9. Fri Jul 30 22:09:17 2021 R1: -1
  10. Fri Jul 30 22:09:17 2021 A0: 1
  11. Fri Jul 30 22:09:17 2021 A1: 1
  12. Fri Jul 30 22:09:17 2021 A2: 1
  13. Fri Jul 30 22:09:17 2021 A3: 1
  14. Fri Jul 30 22:09:17 2021 A4: 1
  15. Fri Jul 30 22:09:17 2021 A5: 1
  16. Fri Jul 30 22:09:17 2021 A6: 1
  17. Fri Jul 30 22:09:17 2021 skew 1.00, size 3.240e-11, alpha 2.428, combined = 1.497e-12 rroots = 0
  18. Fri Jul 30 22:09:17 2021
  19. Fri Jul 30 22:09:17 2021 commencing relation filtering
  20. Fri Jul 30 22:09:17 2021 setting target matrix density to 110.0
  21. Fri Jul 30 22:09:17 2021 estimated available RAM is 32620.8 MB
  22. Fri Jul 30 22:09:17 2021 commencing duplicate removal, pass 1
  23. Fri Jul 30 22:54:55 2021 skipped 7 relations with b > 2^32
  24. Fri Jul 30 22:54:55 2021 skipped 17 relations with composite factors
  25. Fri Jul 30 22:54:55 2021 found 5666975 hash collisions in 114241594 relations
  26. Fri Jul 30 22:54:55 2021 commencing duplicate removal, pass 2
  27. Fri Jul 30 22:59:15 2021 found 0 duplicates and 114241594 unique relations
  28. Fri Jul 30 22:59:15 2021 memory use: 378.4 MB
  29. Fri Jul 30 22:59:15 2021 reading ideals above 720000
  30. Fri Jul 30 22:59:15 2021 commencing singleton removal, initial pass
  31. Fri Jul 30 23:43:09 2021 memory use: 2756.0 MB
  32. Fri Jul 30 23:43:09 2021 reading all ideals from disk
  33. Fri Jul 30 23:43:10 2021 memory use: 4279.0 MB
  34. Fri Jul 30 23:44:30 2021 keeping 93361227 ideals with weight <= 200, target excess is 586241
  35. Fri Jul 30 23:45:49 2021 commencing in-memory singleton removal
  36. Fri Jul 30 23:47:00 2021 begin with 114241594 relations and 93361227 unique ideals
  37. Fri Jul 30 23:57:32 2021 reduce to 84068999 relations and 60742662 ideals in 11 passes
  38. Fri Jul 30 23:57:32 2021 max relations containing the same ideal: 170
  39. Sat Jul 31 00:01:59 2021 removing 7602872 relations and 5602872 ideals in 2000000 cliques
  40. Sat Jul 31 00:02:06 2021 commencing in-memory singleton removal
  41. Sat Jul 31 00:02:50 2021 begin with 76466127 relations and 60742662 unique ideals
  42. Sat Jul 31 00:08:13 2021 reduce to 75892243 relations and 54549033 ideals in 7 passes
  43. Sat Jul 31 00:08:13 2021 max relations containing the same ideal: 161
  44. Sat Jul 31 00:12:00 2021 removing 6200430 relations and 4200430 ideals in 2000000 cliques
  45. Sat Jul 31 00:12:06 2021 commencing in-memory singleton removal
  46. Sat Jul 31 00:12:44 2021 begin with 69691813 relations and 54549033 unique ideals
  47. Sat Jul 31 00:17:26 2021 reduce to 69296691 relations and 49942915 ideals in 7 passes
  48. Sat Jul 31 00:17:26 2021 max relations containing the same ideal: 152
  49. Sat Jul 31 00:20:49 2021 removing 5781884 relations and 3781884 ideals in 2000000 cliques
  50. Sat Jul 31 00:20:55 2021 commencing in-memory singleton removal
  51. Sat Jul 31 00:21:28 2021 begin with 63514807 relations and 49942915 unique ideals
  52. Sat Jul 31 00:25:02 2021 reduce to 63166289 relations and 45802928 ideals in 6 passes
  53. Sat Jul 31 00:25:02 2021 max relations containing the same ideal: 142
  54. Sat Jul 31 00:28:05 2021 removing 5565857 relations and 3565857 ideals in 2000000 cliques
  55. Sat Jul 31 00:28:10 2021 commencing in-memory singleton removal
  56. Sat Jul 31 00:28:39 2021 begin with 57600432 relations and 45802928 unique ideals
  57. Sat Jul 31 00:32:13 2021 reduce to 57269056 relations and 41896210 ideals in 7 passes
  58. Sat Jul 31 00:32:13 2021 max relations containing the same ideal: 134
  59. Sat Jul 31 00:34:55 2021 removing 5428281 relations and 3428281 ideals in 2000000 cliques
  60. Sat Jul 31 00:35:01 2021 commencing in-memory singleton removal
  61. Sat Jul 31 00:35:25 2021 begin with 51840775 relations and 41896210 unique ideals
  62. Sat Jul 31 00:38:03 2021 reduce to 51511817 relations and 38128662 ideals in 6 passes
  63. Sat Jul 31 00:38:03 2021 max relations containing the same ideal: 124
  64. Sat Jul 31 00:40:26 2021 removing 5339285 relations and 3339285 ideals in 2000000 cliques
  65. Sat Jul 31 00:40:31 2021 commencing in-memory singleton removal
  66. Sat Jul 31 00:40:51 2021 begin with 46172532 relations and 38128662 unique ideals
  67. Sat Jul 31 00:43:04 2021 reduce to 45835519 relations and 34441050 ideals in 6 passes
  68. Sat Jul 31 00:43:04 2021 max relations containing the same ideal: 116
  69. Sat Jul 31 00:45:09 2021 removing 5276276 relations and 3276276 ideals in 2000000 cliques
  70. Sat Jul 31 00:45:14 2021 commencing in-memory singleton removal
  71. Sat Jul 31 00:45:30 2021 begin with 40559243 relations and 34441050 unique ideals
  72. Sat Jul 31 00:47:20 2021 reduce to 40203977 relations and 30796137 ideals in 6 passes
  73. Sat Jul 31 00:47:20 2021 max relations containing the same ideal: 105
  74. Sat Jul 31 00:49:06 2021 removing 5233390 relations and 3233390 ideals in 2000000 cliques
  75. Sat Jul 31 00:49:10 2021 commencing in-memory singleton removal
  76. Sat Jul 31 00:49:23 2021 begin with 34970587 relations and 30796137 unique ideals
  77. Sat Jul 31 00:51:05 2021 reduce to 34588396 relations and 27164599 ideals in 7 passes
  78. Sat Jul 31 00:51:05 2021 max relations containing the same ideal: 97
  79. Sat Jul 31 00:52:33 2021 removing 5202486 relations and 3202486 ideals in 2000000 cliques
  80. Sat Jul 31 00:52:37 2021 commencing in-memory singleton removal
  81. Sat Jul 31 00:52:47 2021 begin with 29385910 relations and 27164599 unique ideals
  82. Sat Jul 31 00:54:05 2021 reduce to 28962570 relations and 23518559 ideals in 7 passes
  83. Sat Jul 31 00:54:05 2021 max relations containing the same ideal: 88
  84. Sat Jul 31 00:55:15 2021 removing 5175755 relations and 3175755 ideals in 2000000 cliques
  85. Sat Jul 31 00:55:19 2021 commencing in-memory singleton removal
  86. Sat Jul 31 00:55:26 2021 begin with 23786815 relations and 23518559 unique ideals
  87. Sat Jul 31 00:56:21 2021 reduce to 23305718 relations and 19834425 ideals in 7 passes
  88. Sat Jul 31 00:56:21 2021 max relations containing the same ideal: 78
  89. Sat Jul 31 00:57:15 2021 removing 5142180 relations and 3142180 ideals in 2000000 cliques
  90. Sat Jul 31 00:57:18 2021 commencing in-memory singleton removal
  91. Sat Jul 31 00:57:22 2021 begin with 18163538 relations and 19834425 unique ideals
  92. Sat Jul 31 00:57:58 2021 reduce to 17578143 relations and 16065627 ideals in 7 passes
  93. Sat Jul 31 00:57:58 2021 max relations containing the same ideal: 63
  94. Sat Jul 31 00:58:35 2021 removing 2428337 relations and 1595861 ideals in 832476 cliques
  95. Sat Jul 31 00:58:37 2021 commencing in-memory singleton removal
  96. Sat Jul 31 00:58:40 2021 begin with 15149806 relations and 16065627 unique ideals
  97. Sat Jul 31 00:59:09 2021 reduce to 14877688 relations and 14185233 ideals in 8 passes
  98. Sat Jul 31 00:59:09 2021 max relations containing the same ideal: 56
  99. Sat Jul 31 00:59:39 2021 removing 68356 relations and 55941 ideals in 12415 cliques
  100. Sat Jul 31 00:59:41 2021 commencing in-memory singleton removal
  101. Sat Jul 31 00:59:43 2021 begin with 14809332 relations and 14185233 unique ideals
  102. Sat Jul 31 00:59:58 2021 reduce to 14809015 relations and 14128975 ideals in 4 passes
  103. Sat Jul 31 00:59:58 2021 max relations containing the same ideal: 56
  104. Sat Jul 31 01:00:07 2021 relations with 0 large ideals: 43465
  105. Sat Jul 31 01:00:07 2021 relations with 1 large ideals: 19373
  106. Sat Jul 31 01:00:07 2021 relations with 2 large ideals: 179053
  107. Sat Jul 31 01:00:07 2021 relations with 3 large ideals: 911576
  108. Sat Jul 31 01:00:07 2021 relations with 4 large ideals: 2438424
  109. Sat Jul 31 01:00:07 2021 relations with 5 large ideals: 3811410
  110. Sat Jul 31 01:00:07 2021 relations with 6 large ideals: 3661942
  111. Sat Jul 31 01:00:07 2021 relations with 7+ large ideals: 3743772
  112. Sat Jul 31 01:00:07 2021 commencing 2-way merge
  113. Sat Jul 31 01:00:45 2021 reduce to 10404026 relation sets and 9723986 unique ideals
  114. Sat Jul 31 01:00:45 2021 commencing full merge
  115. Sat Jul 31 01:11:57 2021 memory use: 1282.8 MB
  116. Sat Jul 31 01:11:59 2021 found 4781778 cycles, need 4724186
  117. Sat Jul 31 01:12:03 2021 weight of 4724186 cycles is about 520331904 (110.14/cycle)
  118. Sat Jul 31 01:12:03 2021 distribution of cycle lengths:
  119. Sat Jul 31 01:12:03 2021 1 relations: 160812
  120. Sat Jul 31 01:12:03 2021 2 relations: 254433
  121. Sat Jul 31 01:12:03 2021 3 relations: 329836
  122. Sat Jul 31 01:12:03 2021 4 relations: 360052
  123. Sat Jul 31 01:12:03 2021 5 relations: 383587
  124. Sat Jul 31 01:12:03 2021 6 relations: 387943
  125. Sat Jul 31 01:12:03 2021 7 relations: 379135
  126. Sat Jul 31 01:12:03 2021 8 relations: 359425
  127. Sat Jul 31 01:12:03 2021 9 relations: 331027
  128. Sat Jul 31 01:12:03 2021 10+ relations: 1777936
  129. Sat Jul 31 01:12:03 2021 heaviest cycle: 28 relations
  130. Sat Jul 31 01:12:06 2021 commencing cycle optimization
  131. Sat Jul 31 01:12:32 2021 start with 40624668 relations
  132. Sat Jul 31 01:17:07 2021 pruned 2150806 relations
  133. Sat Jul 31 01:17:07 2021 memory use: 1033.5 MB
  134. Sat Jul 31 01:17:07 2021 distribution of cycle lengths:
  135. Sat Jul 31 01:17:07 2021 1 relations: 160812
  136. Sat Jul 31 01:17:07 2021 2 relations: 261082
  137. Sat Jul 31 01:17:07 2021 3 relations: 344964
  138. Sat Jul 31 01:17:07 2021 4 relations: 378410
  139. Sat Jul 31 01:17:07 2021 5 relations: 407834
  140. Sat Jul 31 01:17:07 2021 6 relations: 411819
  141. Sat Jul 31 01:17:07 2021 7 relations: 404823
  142. Sat Jul 31 01:17:07 2021 8 relations: 381254
  143. Sat Jul 31 01:17:07 2021 9 relations: 348729
  144. Sat Jul 31 01:17:07 2021 10+ relations: 1624459
  145. Sat Jul 31 01:17:07 2021 heaviest cycle: 28 relations
  146. Sat Jul 31 01:17:26 2021 RelProcTime: 11289
  147. Sat Jul 31 01:17:32 2021 elapsed time 03:08:18
  148. Sat Jul 31 01:25:28 2021
  149. Sat Jul 31 01:25:28 2021
  150. Sat Jul 31 01:25:28 2021 Msieve v. 1.54 (SVN unknown)
  151. Sat Jul 31 01:25:28 2021 random seeds: aceacce3 a4d9d924
  152. Sat Jul 31 01:25:28 2021 factoring 5228129772968729064175518830253596589138496942560045271111526445692304447844874317970671797982372221354921825325762158719713279799380986212248150803177642716168515969804811450259732029 (184 digits)
  153. Sat Jul 31 01:25:28 2021 no P-1/P+1/ECM available, skipping
  154. Sat Jul 31 01:25:28 2021 commencing number field sieve (184-digit input)
  155. Sat Jul 31 01:25:28 2021 R0: 52994926300350223824875516968726113151
  156. Sat Jul 31 01:25:28 2021 R1: -1
  157. Sat Jul 31 01:25:28 2021 A0: 1
  158. Sat Jul 31 01:25:28 2021 A1: 1
  159. Sat Jul 31 01:25:28 2021 A2: 1
  160. Sat Jul 31 01:25:28 2021 A3: 1
  161. Sat Jul 31 01:25:28 2021 A4: 1
  162. Sat Jul 31 01:25:28 2021 A5: 1
  163. Sat Jul 31 01:25:28 2021 A6: 1
  164. Sat Jul 31 01:25:28 2021 skew 1.00, size 3.240e-11, alpha 2.428, combined = 1.497e-12 rroots = 0
  165. Sat Jul 31 01:25:28 2021
  166. Sat Jul 31 01:25:28 2021 commencing linear algebra
  167. Sat Jul 31 01:25:29 2021 read 4724186 cycles
  168. Sat Jul 31 01:25:34 2021 cycles contain 14512551 unique relations
  169. Sat Jul 31 01:27:27 2021 read 14512551 relations
  170. Sat Jul 31 01:27:41 2021 using 20 quadratic characters above 4294917295
  171. Sat Jul 31 01:28:20 2021 building initial matrix
  172. Sat Jul 31 01:30:06 2021 memory use: 1785.9 MB
  173. Sat Jul 31 01:30:07 2021 read 4724186 cycles
  174. Sat Jul 31 01:30:07 2021 matrix is 4724008 x 4724186 (2041.1 MB) with weight 582229292 (123.24/col)
  175. Sat Jul 31 01:30:07 2021 sparse part has weight 483098646 (102.26/col)
  176. Sat Jul 31 01:30:34 2021 filtering completed in 2 passes
  177. Sat Jul 31 01:30:34 2021 matrix is 4723752 x 4723927 (2041.1 MB) with weight 582217224 (123.25/col)
  178. Sat Jul 31 01:30:34 2021 sparse part has weight 483092228 (102.26/col)
  179. Sat Jul 31 01:30:41 2021 matrix starts at (0, 0)
  180. Sat Jul 31 01:30:42 2021 matrix is 4723752 x 4723927 (2041.1 MB) with weight 582217224 (123.25/col)
  181. Sat Jul 31 01:30:42 2021 sparse part has weight 483092228 (102.26/col)
  182. Sat Jul 31 01:30:42 2021 saving the first 112 matrix rows for later
  183. Sat Jul 31 01:30:42 2021 matrix includes 128 packed rows
  184. Sat Jul 31 01:30:43 2021 matrix is 4723640 x 4723927 (1888.4 MB) with weight 463953547 (98.21/col)
  185. Sat Jul 31 01:30:43 2021 sparse part has weight 438347014 (92.79/col)
  186. Sat Jul 31 01:30:43 2021 using GPU 0 (Tesla V100-PCIE-32GB)
  187. Sat Jul 31 01:30:43 2021 selected card has CUDA arch 7.0
  188. Sat Jul 31 01:31:01 2021 commencing Lanczos iteration
  189. Sat Jul 31 01:31:01 2021 memory use: 4605.7 MB
  190. Sat Jul 31 01:31:02 2021 linear algebra at 0.0%, ETA 0h51m
  191. Sat Jul 31 01:31:02 2021 checkpointing every 7340000 dimensions
  192. Sat Jul 31 02:06:25 2021 lanczos halted after 37127 iterations (dim = 4723632)
  193. Sat Jul 31 02:06:31 2021 recovered 34 nontrivial dependencies
  194. Sat Jul 31 02:06:31 2021 BLanczosTime: 2463
  195. Sat Jul 31 02:06:31 2021 elapsed time 00:41:03
  196. Sat Jul 31 02:07:07 2021
  197. Sat Jul 31 02:07:07 2021
  198. Sat Jul 31 02:07:07 2021 Msieve v. 1.54 (SVN unknown)
  199. Sat Jul 31 02:07:07 2021 random seeds: dc40f715 e4e42900
  200. Sat Jul 31 02:07:07 2021 factoring 5228129772968729064175518830253596589138496942560045271111526445692304447844874317970671797982372221354921825325762158719713279799380986212248150803177642716168515969804811450259732029 (184 digits)
  201. Sat Jul 31 02:07:07 2021 no P-1/P+1/ECM available, skipping
  202. Sat Jul 31 02:07:07 2021 commencing number field sieve (184-digit input)
  203. Sat Jul 31 02:07:07 2021 R0: 52994926300350223824875516968726113151
  204. Sat Jul 31 02:07:07 2021 R1: -1
  205. Sat Jul 31 02:07:07 2021 A0: 1
  206. Sat Jul 31 02:07:07 2021 A1: 1
  207. Sat Jul 31 02:07:07 2021 A2: 1
  208. Sat Jul 31 02:07:07 2021 A3: 1
  209. Sat Jul 31 02:07:07 2021 A4: 1
  210. Sat Jul 31 02:07:07 2021 A5: 1
  211. Sat Jul 31 02:07:07 2021 A6: 1
  212. Sat Jul 31 02:07:07 2021 skew 1.00, size 3.240e-11, alpha 2.428, combined = 1.497e-12 rroots = 0
  213. Sat Jul 31 02:07:07 2021
  214. Sat Jul 31 02:07:07 2021 commencing square root phase
  215. Sat Jul 31 02:07:07 2021 reading relations for dependency 1
  216. Sat Jul 31 02:07:08 2021 read 2362470 cycles
  217. Sat Jul 31 02:07:10 2021 cycles contain 7258206 unique relations
  218. Sat Jul 31 02:08:38 2021 read 7258206 relations
  219. Sat Jul 31 02:08:56 2021 multiplying 7258206 relations
  220. Sat Jul 31 02:11:32 2021 multiply complete, coefficients have about 176.80 million bits
  221. Sat Jul 31 02:11:33 2021 initial square root is modulo 2211893
  222. Sat Jul 31 02:14:33 2021 GCD is N, no factor found
  223. Sat Jul 31 02:14:33 2021 reading relations for dependency 2
  224. Sat Jul 31 02:14:34 2021 read 2362877 cycles
  225. Sat Jul 31 02:14:36 2021 cycles contain 7255752 unique relations
  226. Sat Jul 31 02:16:03 2021 read 7255752 relations
  227. Sat Jul 31 02:16:20 2021 multiplying 7255752 relations
  228. Sat Jul 31 02:18:56 2021 multiply complete, coefficients have about 176.73 million bits
  229. Sat Jul 31 02:18:57 2021 initial square root is modulo 2200301
  230. Sat Jul 31 02:21:56 2021 GCD is N, no factor found
  231. Sat Jul 31 02:21:56 2021 reading relations for dependency 3
  232. Sat Jul 31 02:21:56 2021 read 2362924 cycles
  233. Sat Jul 31 02:21:59 2021 cycles contain 7259072 unique relations
  234. Sat Jul 31 02:23:26 2021 read 7259072 relations
  235. Sat Jul 31 02:23:43 2021 multiplying 7259072 relations
  236. Sat Jul 31 02:26:19 2021 multiply complete, coefficients have about 176.81 million bits
  237. Sat Jul 31 02:26:20 2021 initial square root is modulo 2214623
  238. Sat Jul 31 02:29:19 2021 GCD is N, no factor found
  239. Sat Jul 31 02:29:19 2021 reading relations for dependency 4
  240. Sat Jul 31 02:29:19 2021 read 2364090 cycles
  241. Sat Jul 31 02:29:22 2021 cycles contain 7261102 unique relations
  242. Sat Jul 31 02:30:50 2021 read 7261102 relations
  243. Sat Jul 31 02:31:06 2021 multiplying 7261102 relations
  244. Sat Jul 31 02:33:43 2021 multiply complete, coefficients have about 176.87 million bits
  245. Sat Jul 31 02:33:43 2021 initial square root is modulo 2224969
  246. Sat Jul 31 02:36:43 2021 sqrtTime: 1776
  247. Sat Jul 31 02:36:43 2021 p81 factor: 392551019179328507413086270889614631714038194886910939109756040858325515781383829
  248. Sat Jul 31 02:36:43 2021 p104 factor: 13318344667398176321529220034741298316800376056252710852009866289844201553487043007505729011124625665801
  249. Sat Jul 31 02:36:43 2021 elapsed time 00:29:36
  250.  
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