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gchilders

54441_243

Apr 17th, 2022
132
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  1. Sun Apr 17 23:35:01 2022
  2. Sun Apr 17 23:35:01 2022
  3. Sun Apr 17 23:35:01 2022 Msieve v. 1.54 (SVN unknown)
  4. Sun Apr 17 23:35:01 2022 random seeds: 7afff217 ac5ea93d
  5. Sun Apr 17 23:35:01 2022 factoring 1052086207463728425138153477494700575452309150116607291984350263061154978407910776597435977914648527841010463173088391828162348327723088623990681140338688467 (157 digits)
  6. Sun Apr 17 23:35:01 2022 no P-1/P+1/ECM available, skipping
  7. Sun Apr 17 23:35:01 2022 commencing number field sieve (157-digit input)
  8. Sun Apr 17 23:35:01 2022 R0: -4224908793479713395852719378657
  9. Sun Apr 17 23:35:01 2022 R1: 75609485497744362521
  10. Sun Apr 17 23:35:01 2022 A0: -1591058707435733812246464883443981289440
  11. Sun Apr 17 23:35:01 2022 A1: 630627701474459115504758310426624
  12. Sun Apr 17 23:35:01 2022 A2: -39481246135114685201995608
  13. Sun Apr 17 23:35:01 2022 A3: -8243738472985519189
  14. Sun Apr 17 23:35:01 2022 A4: 87549890948
  15. Sun Apr 17 23:35:01 2022 A5: 780
  16. Sun Apr 17 23:35:01 2022 skew 1.00, size 4.515e-15, alpha -7.890, combined = 1.030e-14 rroots = 3
  17. Sun Apr 17 23:35:01 2022
  18. Sun Apr 17 23:35:01 2022 commencing relation filtering
  19. Sun Apr 17 23:35:01 2022 setting target matrix density to 110.0
  20. Sun Apr 17 23:35:01 2022 estimated available RAM is 515600.8 MB
  21. Sun Apr 17 23:35:01 2022 commencing duplicate removal, pass 1
  22. Sun Apr 17 23:35:07 2022 error -15 reading relation 1183245
  23. Sun Apr 17 23:35:23 2022 error -9 reading relation 4611511
  24. Sun Apr 17 23:35:45 2022 error -9 reading relation 9037962
  25. Sun Apr 17 23:35:48 2022 error -9 reading relation 9820193
  26. Sun Apr 17 23:35:48 2022 error -15 reading relation 9826422
  27. Sun Apr 17 23:35:51 2022 error -9 reading relation 10412321
  28. Sun Apr 17 23:36:42 2022 error -9 reading relation 21132269
  29. Sun Apr 17 23:38:16 2022 error -15 reading relation 40524553
  30. Sun Apr 17 23:38:19 2022 error -9 reading relation 41209126
  31. Sun Apr 17 23:38:52 2022 error -15 reading relation 48033390
  32. Sun Apr 17 23:38:55 2022 skipped 5 relations with composite factors
  33. Sun Apr 17 23:38:55 2022 found 2082012 hash collisions in 48721425 relations
  34. Sun Apr 17 23:39:12 2022 added 121714 free relations
  35. Sun Apr 17 23:39:12 2022 commencing duplicate removal, pass 2
  36. Sun Apr 17 23:39:19 2022 found 1 duplicates and 48843138 unique relations
  37. Sun Apr 17 23:39:19 2022 memory use: 130.6 MB
  38. Sun Apr 17 23:39:19 2022 reading ideals above 720000
  39. Sun Apr 17 23:39:20 2022 commencing singleton removal, initial pass
  40. Sun Apr 17 23:43:12 2022 memory use: 1378.0 MB
  41. Sun Apr 17 23:43:12 2022 reading all ideals from disk
  42. Sun Apr 17 23:43:12 2022 memory use: 1781.3 MB
  43. Sun Apr 17 23:43:14 2022 keeping 46154712 ideals with weight <= 200, target excess is 251252
  44. Sun Apr 17 23:43:16 2022 commencing in-memory singleton removal
  45. Sun Apr 17 23:43:17 2022 begin with 48843138 relations and 46154712 unique ideals
  46. Sun Apr 17 23:43:33 2022 reduce to 31802715 relations and 27406679 ideals in 15 passes
  47. Sun Apr 17 23:43:33 2022 max relations containing the same ideal: 161
  48. Sun Apr 17 23:43:40 2022 removing 4478574 relations and 3478574 ideals in 1000000 cliques
  49. Sun Apr 17 23:43:41 2022 commencing in-memory singleton removal
  50. Sun Apr 17 23:43:42 2022 begin with 27324141 relations and 27406679 unique ideals
  51. Sun Apr 17 23:43:48 2022 reduce to 26834259 relations and 23418940 ideals in 8 passes
  52. Sun Apr 17 23:43:48 2022 max relations containing the same ideal: 149
  53. Sun Apr 17 23:43:54 2022 removing 3546261 relations and 2546261 ideals in 1000000 cliques
  54. Sun Apr 17 23:43:55 2022 commencing in-memory singleton removal
  55. Sun Apr 17 23:43:56 2022 begin with 23287998 relations and 23418940 unique ideals
  56. Sun Apr 17 23:44:01 2022 reduce to 22935309 relations and 20506873 ideals in 8 passes
  57. Sun Apr 17 23:44:01 2022 max relations containing the same ideal: 135
  58. Sun Apr 17 23:44:07 2022 removing 3278460 relations and 2278460 ideals in 1000000 cliques
  59. Sun Apr 17 23:44:07 2022 commencing in-memory singleton removal
  60. Sun Apr 17 23:44:08 2022 begin with 19656849 relations and 20506873 unique ideals
  61. Sun Apr 17 23:44:13 2022 reduce to 19319710 relations and 17877714 ideals in 9 passes
  62. Sun Apr 17 23:44:13 2022 max relations containing the same ideal: 121
  63. Sun Apr 17 23:44:18 2022 removing 3151401 relations and 2151401 ideals in 1000000 cliques
  64. Sun Apr 17 23:44:19 2022 commencing in-memory singleton removal
  65. Sun Apr 17 23:44:19 2022 begin with 16168309 relations and 17877714 unique ideals
  66. Sun Apr 17 23:44:23 2022 reduce to 15806374 relations and 15347804 ideals in 8 passes
  67. Sun Apr 17 23:44:23 2022 max relations containing the same ideal: 100
  68. Sun Apr 17 23:44:26 2022 removing 749295 relations and 582178 ideals in 167117 cliques
  69. Sun Apr 17 23:44:27 2022 commencing in-memory singleton removal
  70. Sun Apr 17 23:44:27 2022 begin with 15057079 relations and 15347804 unique ideals
  71. Sun Apr 17 23:44:30 2022 reduce to 15034136 relations and 14742448 ideals in 7 passes
  72. Sun Apr 17 23:44:30 2022 max relations containing the same ideal: 98
  73. Sun Apr 17 23:44:36 2022 relations with 0 large ideals: 620
  74. Sun Apr 17 23:44:36 2022 relations with 1 large ideals: 2337
  75. Sun Apr 17 23:44:36 2022 relations with 2 large ideals: 31736
  76. Sun Apr 17 23:44:36 2022 relations with 3 large ideals: 246534
  77. Sun Apr 17 23:44:36 2022 relations with 4 large ideals: 1045557
  78. Sun Apr 17 23:44:36 2022 relations with 5 large ideals: 2619079
  79. Sun Apr 17 23:44:36 2022 relations with 6 large ideals: 4065407
  80. Sun Apr 17 23:44:36 2022 relations with 7+ large ideals: 7022866
  81. Sun Apr 17 23:44:36 2022 commencing 2-way merge
  82. Sun Apr 17 23:44:40 2022 reduce to 10483127 relation sets and 10191439 unique ideals
  83. Sun Apr 17 23:44:40 2022 commencing full merge
  84. Sun Apr 17 23:46:49 2022 memory use: 1260.1 MB
  85. Sun Apr 17 23:46:50 2022 found 4763228 cycles, need 4735639
  86. Sun Apr 17 23:46:51 2022 weight of 4735639 cycles is about 520963731 (110.01/cycle)
  87. Sun Apr 17 23:46:51 2022 distribution of cycle lengths:
  88. Sun Apr 17 23:46:51 2022 1 relations: 148396
  89. Sun Apr 17 23:46:51 2022 2 relations: 302691
  90. Sun Apr 17 23:46:51 2022 3 relations: 381455
  91. Sun Apr 17 23:46:51 2022 4 relations: 396677
  92. Sun Apr 17 23:46:51 2022 5 relations: 408355
  93. Sun Apr 17 23:46:51 2022 6 relations: 394044
  94. Sun Apr 17 23:46:51 2022 7 relations: 378422
  95. Sun Apr 17 23:46:51 2022 8 relations: 351569
  96. Sun Apr 17 23:46:51 2022 9 relations: 322335
  97. Sun Apr 17 23:46:51 2022 10+ relations: 1651695
  98. Sun Apr 17 23:46:51 2022 heaviest cycle: 27 relations
  99. Sun Apr 17 23:46:52 2022 commencing cycle optimization
  100. Sun Apr 17 23:46:57 2022 start with 38916954 relations
  101. Sun Apr 17 23:47:48 2022 pruned 1877890 relations
  102. Sun Apr 17 23:47:48 2022 memory use: 1031.2 MB
  103. Sun Apr 17 23:47:48 2022 distribution of cycle lengths:
  104. Sun Apr 17 23:47:48 2022 1 relations: 148396
  105. Sun Apr 17 23:47:48 2022 2 relations: 312472
  106. Sun Apr 17 23:47:48 2022 3 relations: 402102
  107. Sun Apr 17 23:47:48 2022 4 relations: 417371
  108. Sun Apr 17 23:47:48 2022 5 relations: 431639
  109. Sun Apr 17 23:47:48 2022 6 relations: 415200
  110. Sun Apr 17 23:47:48 2022 7 relations: 397691
  111. Sun Apr 17 23:47:48 2022 8 relations: 366613
  112. Sun Apr 17 23:47:48 2022 9 relations: 333478
  113. Sun Apr 17 23:47:48 2022 10+ relations: 1510677
  114. Sun Apr 17 23:47:48 2022 heaviest cycle: 27 relations
  115. Sun Apr 17 23:47:52 2022 RelProcTime: 771
  116. Sun Apr 17 23:47:53 2022
  117. Sun Apr 17 23:47:53 2022 commencing linear algebra
  118. Sun Apr 17 23:47:53 2022 using VBITS=384
  119. Sun Apr 17 23:47:53 2022 read 4735639 cycles
  120. Sun Apr 17 23:47:58 2022 cycles contain 14892801 unique relations
  121. Sun Apr 17 23:48:48 2022 read 14892801 relations
  122. Sun Apr 17 23:49:04 2022 using 20 quadratic characters above 4294917295
  123. Sun Apr 17 23:49:45 2022 building initial matrix
  124. Sun Apr 17 23:51:41 2022 memory use: 2058.6 MB
  125. Sun Apr 17 23:51:43 2022 read 4735639 cycles
  126. Sun Apr 17 23:51:43 2022 matrix is 4735461 x 4735639 (2060.0 MB) with weight 642626573 (135.70/col)
  127. Sun Apr 17 23:51:43 2022 sparse part has weight 483184541 (102.03/col)
  128. Sun Apr 17 23:52:10 2022 filtering completed in 2 passes
  129. Sun Apr 17 23:52:11 2022 matrix is 4735372 x 4735549 (2060.0 MB) with weight 642622310 (135.70/col)
  130. Sun Apr 17 23:52:11 2022 sparse part has weight 483183541 (102.03/col)
  131. Sun Apr 17 23:52:18 2022 matrix starts at (0, 0)
  132. Sun Apr 17 23:52:18 2022 matrix is 4735372 x 4735549 (2060.0 MB) with weight 642622310 (135.70/col)
  133. Sun Apr 17 23:52:18 2022 sparse part has weight 483183541 (102.03/col)
  134. Sun Apr 17 23:52:18 2022 saving the first 368 matrix rows for later
  135. Sun Apr 17 23:52:19 2022 matrix includes 384 packed rows
  136. Sun Apr 17 23:52:21 2022 matrix is 4735004 x 4735549 (1855.0 MB) with weight 419792853 (88.65/col)
  137. Sun Apr 17 23:52:21 2022 sparse part has weight 391559157 (82.69/col)
  138. Sun Apr 17 23:52:21 2022 using GPU 0 (Tesla V100-PCIE-32GB)
  139. Sun Apr 17 23:52:21 2022 selected card has CUDA arch 7.0
  140. Sun Apr 17 23:52:35 2022 commencing Lanczos iteration
  141. Sun Apr 17 23:52:35 2022 memory use: 4757.7 MB
  142. Sun Apr 17 23:52:42 2022 linear algebra at 0.2%, ETA 0h47m
  143. Sun Apr 17 23:52:43 2022 checkpointing every 5350000 dimensions
  144. Mon Apr 18 00:38:40 2022 lanczos halted after 12357 iterations (dim = 4735004)
  145. Mon Apr 18 00:39:00 2022 recovered 32 nontrivial dependencies
  146. Mon Apr 18 00:39:00 2022 BLanczosTime: 3067
  147. Mon Apr 18 00:39:00 2022 elapsed time 01:03:59
  148. Mon Apr 18 00:39:00 2022
  149. Mon Apr 18 00:39:00 2022
  150. Mon Apr 18 00:39:00 2022 Msieve v. 1.54 (SVN unknown)
  151. Mon Apr 18 00:39:00 2022 random seeds: 7d1e7edc 909c0160
  152. Mon Apr 18 00:39:00 2022 factoring 1052086207463728425138153477494700575452309150116607291984350263061154978407910776597435977914648527841010463173088391828162348327723088623990681140338688467 (157 digits)
  153. Mon Apr 18 00:39:01 2022 no P-1/P+1/ECM available, skipping
  154. Mon Apr 18 00:39:01 2022 commencing number field sieve (157-digit input)
  155. Mon Apr 18 00:39:01 2022 R0: -4224908793479713395852719378657
  156. Mon Apr 18 00:39:01 2022 R1: 75609485497744362521
  157. Mon Apr 18 00:39:01 2022 A0: -1591058707435733812246464883443981289440
  158. Mon Apr 18 00:39:01 2022 A1: 630627701474459115504758310426624
  159. Mon Apr 18 00:39:01 2022 A2: -39481246135114685201995608
  160. Mon Apr 18 00:39:01 2022 A3: -8243738472985519189
  161. Mon Apr 18 00:39:01 2022 A4: 87549890948
  162. Mon Apr 18 00:39:01 2022 A5: 780
  163. Mon Apr 18 00:39:01 2022 skew 1.00, size 4.515e-15, alpha -7.890, combined = 1.030e-14 rroots = 3
  164. Mon Apr 18 00:39:01 2022
  165. Mon Apr 18 00:39:01 2022 commencing square root phase
  166. Mon Apr 18 00:39:01 2022 Sqrt: Handling dependencies 1 to 8
  167. Mon Apr 18 00:39:01 2022 Sqrt: getting relations for each dependency
  168. Mon Apr 18 00:39:01 2022 Sqrt: Assigning space for 4735549 cycles for 8 dependencies
  169. Mon Apr 18 00:39:01 2022 Sqrt: For dependency 1, read 2369212 cycles
  170. Mon Apr 18 00:39:01 2022 Sqrt: For dependency 2, read 2365139 cycles
  171. Mon Apr 18 00:39:01 2022 Sqrt: For dependency 3, read 2368726 cycles
  172. Mon Apr 18 00:39:01 2022 Sqrt: For dependency 4, read 2366988 cycles
  173. Mon Apr 18 00:39:01 2022 Sqrt: For dependency 5, read 2367917 cycles
  174. Mon Apr 18 00:39:01 2022 Sqrt: For dependency 6, read 2367758 cycles
  175. Mon Apr 18 00:39:01 2022 Sqrt: For dependency 7, read 2366681 cycles
  176. Mon Apr 18 00:39:01 2022 Sqrt: For dependency 8, read 2367934 cycles
  177. Mon Apr 18 00:39:16 2022 Sqrt: cycles contain 14834257 unique relations
  178. Mon Apr 18 00:40:11 2022 Sqrt: read 14834257 relations in total
  179. Mon Apr 18 00:40:11 2022 Sqrt: Dependency 1 has 7448278 relations
  180. Mon Apr 18 00:40:11 2022 Sqrt: Dependency 2 has 7440080 relations
  181. Mon Apr 18 00:40:11 2022 Sqrt: Dependency 3 has 7450656 relations
  182. Mon Apr 18 00:40:11 2022 Sqrt: Dependency 4 has 7443718 relations
  183. Mon Apr 18 00:40:11 2022 Sqrt: Dependency 5 has 7445480 relations
  184. Mon Apr 18 00:40:11 2022 Sqrt: Dependency 6 has 7444624 relations
  185. Mon Apr 18 00:40:11 2022 Sqrt: Dependency 7 has 7440084 relations
  186. Mon Apr 18 00:40:11 2022 Sqrt: Dependency 8 has 7444634 relations
  187. Mon Apr 18 00:40:12 2022 Sqrt: initializing threads
  188. Mon Apr 18 00:40:14 2022 Sqrt using 8 threads
  189. Mon Apr 18 00:40:14 2022 Sqrt: Adding dependencies 1 to 8 to the task pool
  190. Mon Apr 18 00:40:14 2022 Sqrt: Thread 5 working on dependency 2
  191. Mon Apr 18 00:40:14 2022 Sqrt: Thread 7 working on dependency 8
  192. Mon Apr 18 00:40:14 2022 Sqrt: Thread 1 working on dependency 4
  193. Mon Apr 18 00:40:14 2022 Sqrt: Thread 6 working on dependency 3
  194. Mon Apr 18 00:40:14 2022 Sqrt: Thread 2 working on dependency 6
  195. Mon Apr 18 00:40:14 2022 Sqrt: Thread 4 working on dependency 1
  196. Mon Apr 18 00:40:14 2022 Sqrt: Thread 3 working on dependency 5
  197. Mon Apr 18 00:40:14 2022 Sqrt: Thread 0 working on dependency 7
  198. Mon Apr 18 00:40:36 2022 Sqrt: Thread 0 beginning algebraic square root for dependency 7
  199. Mon Apr 18 00:40:36 2022 multiplying 7440084 relations
  200. Mon Apr 18 00:40:36 2022 Sqrt: Thread 7 beginning algebraic square root for dependency 8
  201. Mon Apr 18 00:40:36 2022 multiplying 7444634 relations
  202. Mon Apr 18 00:40:36 2022 Sqrt: Thread 4 beginning algebraic square root for dependency 1
  203. Mon Apr 18 00:40:36 2022 multiplying 7448278 relations
  204. Mon Apr 18 00:40:36 2022 Sqrt: Thread 5 beginning algebraic square root for dependency 2
  205. Mon Apr 18 00:40:36 2022 multiplying 7440080 relations
  206. Mon Apr 18 00:40:36 2022 Sqrt: Thread 6 beginning algebraic square root for dependency 3
  207. Mon Apr 18 00:40:36 2022 multiplying 7450656 relations
  208. Mon Apr 18 00:40:39 2022 Sqrt: Thread 3 beginning algebraic square root for dependency 5
  209. Mon Apr 18 00:40:39 2022 multiplying 7445480 relations
  210. Mon Apr 18 00:40:41 2022 Sqrt: Thread 1 beginning algebraic square root for dependency 4
  211. Mon Apr 18 00:40:41 2022 multiplying 7443718 relations
  212. Mon Apr 18 00:40:41 2022 Sqrt: Thread 2 beginning algebraic square root for dependency 6
  213. Mon Apr 18 00:40:41 2022 multiplying 7444624 relations
  214. Mon Apr 18 00:44:53 2022 multiply complete, coefficients have about 355.73 million bits
  215. Mon Apr 18 00:44:54 2022 initial square root is modulo 2416039
  216. Mon Apr 18 00:44:55 2022 multiply complete, coefficients have about 355.74 million bits
  217. Mon Apr 18 00:44:56 2022 initial square root is modulo 2416283
  218. Mon Apr 18 00:44:56 2022 multiply complete, coefficients have about 356.12 million bits
  219. Mon Apr 18 00:44:57 2022 initial square root is modulo 2454833
  220. Mon Apr 18 00:44:57 2022 multiply complete, coefficients have about 355.96 million bits
  221. Mon Apr 18 00:44:58 2022 multiply complete, coefficients have about 356.24 million bits
  222. Mon Apr 18 00:44:59 2022 initial square root is modulo 2438671
  223. Mon Apr 18 00:44:59 2022 multiply complete, coefficients have about 355.91 million bits
  224. Mon Apr 18 00:45:00 2022 initial square root is modulo 2466851
  225. Mon Apr 18 00:45:00 2022 initial square root is modulo 2433317
  226. Mon Apr 18 00:45:01 2022 multiply complete, coefficients have about 355.99 million bits
  227. Mon Apr 18 00:45:03 2022 initial square root is modulo 2441801
  228. Mon Apr 18 00:45:03 2022 multiply complete, coefficients have about 355.96 million bits
  229. Mon Apr 18 00:45:04 2022 initial square root is modulo 2438173
  230. Mon Apr 18 00:49:55 2022 Sqrt: Thread 5 beginning congruence of squares for dependency 2
  231. Mon Apr 18 00:49:55 2022 Sqrt: Thread 5 shutting down dep_task 2
  232. Mon Apr 18 00:49:56 2022 Sqrt: Thread 0 beginning congruence of squares for dependency 7
  233. Mon Apr 18 00:49:56 2022 Sqrt: Thread 0: dependency 7, GCD is 1, no factor found
  234. Mon Apr 18 00:49:56 2022 Sqrt: Thread 0 shutting down dep_task 7
  235. Mon Apr 18 00:49:58 2022 Sqrt: Thread 6 beginning congruence of squares for dependency 3
  236. Mon Apr 18 00:49:58 2022 Sqrt: Thread 6: dependency 3, GCD is 1, no factor found
  237. Mon Apr 18 00:49:58 2022 Sqrt: Thread 6 shutting down dep_task 3
  238. Mon Apr 18 00:49:59 2022 Sqrt: Thread 4 beginning congruence of squares for dependency 1
  239. Mon Apr 18 00:49:59 2022 Sqrt: Thread 4 shutting down dep_task 1
  240. Mon Apr 18 00:50:01 2022 Sqrt: Thread 7 beginning congruence of squares for dependency 8
  241. Mon Apr 18 00:50:01 2022 Sqrt: Thread 7: dependency 8, GCD is N, no factor found
  242. Mon Apr 18 00:50:01 2022 Sqrt: Thread 7 shutting down dep_task 8
  243. Mon Apr 18 00:50:03 2022 Sqrt: Thread 1 beginning congruence of squares for dependency 4
  244. Mon Apr 18 00:50:03 2022 Sqrt: Thread 1 shutting down dep_task 4
  245. Mon Apr 18 00:50:05 2022 Sqrt: Thread 3 beginning congruence of squares for dependency 5
  246. Mon Apr 18 00:50:05 2022 Sqrt: Thread 3 shutting down dep_task 5
  247. Mon Apr 18 00:50:07 2022 Sqrt: Thread 2 beginning congruence of squares for dependency 6
  248. Mon Apr 18 00:50:07 2022 Sqrt: Thread 2 shutting down dep_task 6
  249. Mon Apr 18 00:50:07 2022 sqrtTime: 666
  250. Mon Apr 18 00:50:07 2022 p73 factor: 2194891642306067505934162580167520607957810245205409382550018074723825411
  251. Mon Apr 18 00:50:07 2022 p84 factor: 479334007740970686551754612654506848379407737465632257519247180999170076058159507697
  252. Mon Apr 18 00:50:07 2022 elapsed time 00:11:07
  253.  
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