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gchilders

21111_249

Aug 28th, 2022
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  1. Sun Aug 28 01:24:49 2022
  2. Sun Aug 28 01:24:49 2022
  3. Sun Aug 28 01:24:49 2022 Msieve v. 1.54 (SVN unknown)
  4. Sun Aug 28 01:24:49 2022 random seeds: 53fdc9bc 80cf29c8
  5. Sun Aug 28 01:24:49 2022 MPI process 0 of 1
  6. Sun Aug 28 01:24:49 2022 factoring 2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (250 digits)
  7. Sun Aug 28 01:24:50 2022 no P-1/P+1/ECM available, skipping
  8. Sun Aug 28 01:24:50 2022 commencing number field sieve (250-digit input)
  9. Sun Aug 28 01:24:50 2022 R0: -100000000000000000000000000000000000000000
  10. Sun Aug 28 01:24:50 2022 R1: 1
  11. Sun Aug 28 01:24:50 2022 A0: -1
  12. Sun Aug 28 01:24:50 2022 A1: 0
  13. Sun Aug 28 01:24:50 2022 A2: 0
  14. Sun Aug 28 01:24:50 2022 A3: 0
  15. Sun Aug 28 01:24:50 2022 A4: 0
  16. Sun Aug 28 01:24:50 2022 A5: 0
  17. Sun Aug 28 01:24:50 2022 A6: 19000
  18. Sun Aug 28 01:24:50 2022 skew 0.19, size 1.825e-12, alpha -0.369, combined = 1.846e-13 rroots = 2
  19. Sun Aug 28 01:24:50 2022
  20. Sun Aug 28 01:24:50 2022 commencing relation filtering
  21. Sun Aug 28 01:24:50 2022 setting target matrix density to 120.0
  22. Sun Aug 28 01:24:50 2022 estimated available RAM is 257667.4 MB
  23. Sun Aug 28 01:24:50 2022 commencing duplicate removal, pass 1
  24. Sun Aug 28 01:26:27 2022 skipped 4280 relations with b > 2^32
  25. Sun Aug 28 01:26:27 2022 skipped 33 relations with composite factors
  26. Sun Aug 28 01:26:27 2022 found 8694344 hash collisions in 199162057 relations
  27. Sun Aug 28 01:26:40 2022 added 1219407 free relations
  28. Sun Aug 28 01:26:40 2022 commencing duplicate removal, pass 2
  29. Sun Aug 28 01:27:21 2022 found 1 duplicates and 200381463 unique relations
  30. Sun Aug 28 01:27:21 2022 memory use: 522.4 MB
  31. Sun Aug 28 01:27:21 2022 reading ideals above 720000
  32. Sun Aug 28 01:27:21 2022 commencing singleton removal, initial pass
  33. Sun Aug 28 01:33:14 2022 memory use: 5512.0 MB
  34. Sun Aug 28 01:33:14 2022 reading all ideals from disk
  35. Sun Aug 28 01:33:16 2022 memory use: 9601.7 MB
  36. Sun Aug 28 01:33:24 2022 keeping 176618879 ideals with weight <= 200, target excess is 1077368
  37. Sun Aug 28 01:33:36 2022 commencing in-memory singleton removal
  38. Sun Aug 28 01:33:37 2022 begin with 200381463 relations and 176618879 unique ideals
  39. Sun Aug 28 01:33:48 2022 reduce to 135145218 relations and 105162406 ideals in 13 passes
  40. Sun Aug 28 01:33:48 2022 max relations containing the same ideal: 163
  41. Sun Aug 28 01:34:13 2022 removing 10375989 relations and 8375989 ideals in 2000000 cliques
  42. Sun Aug 28 01:34:16 2022 commencing in-memory singleton removal
  43. Sun Aug 28 01:34:17 2022 begin with 124769229 relations and 105162406 unique ideals
  44. Sun Aug 28 01:34:22 2022 reduce to 124185916 relations and 96192093 ideals in 8 passes
  45. Sun Aug 28 01:34:22 2022 max relations containing the same ideal: 152
  46. Sun Aug 28 01:34:45 2022 removing 7903947 relations and 5903947 ideals in 2000000 cliques
  47. Sun Aug 28 01:34:49 2022 commencing in-memory singleton removal
  48. Sun Aug 28 01:34:49 2022 begin with 116281969 relations and 96192093 unique ideals
  49. Sun Aug 28 01:34:53 2022 reduce to 115890075 relations and 89890044 ideals in 7 passes
  50. Sun Aug 28 01:34:53 2022 max relations containing the same ideal: 146
  51. Sun Aug 28 01:35:15 2022 removing 7174275 relations and 5174275 ideals in 2000000 cliques
  52. Sun Aug 28 01:35:18 2022 commencing in-memory singleton removal
  53. Sun Aug 28 01:35:18 2022 begin with 108715800 relations and 89890044 unique ideals
  54. Sun Aug 28 01:35:22 2022 reduce to 108371135 relations and 84365561 ideals in 6 passes
  55. Sun Aug 28 01:35:22 2022 max relations containing the same ideal: 141
  56. Sun Aug 28 01:35:43 2022 removing 6808344 relations and 4808344 ideals in 2000000 cliques
  57. Sun Aug 28 01:35:45 2022 commencing in-memory singleton removal
  58. Sun Aug 28 01:35:46 2022 begin with 101562791 relations and 84365561 unique ideals
  59. Sun Aug 28 01:35:50 2022 reduce to 101239800 relations and 79228851 ideals in 7 passes
  60. Sun Aug 28 01:35:50 2022 max relations containing the same ideal: 138
  61. Sun Aug 28 01:36:09 2022 removing 6576256 relations and 4576256 ideals in 2000000 cliques
  62. Sun Aug 28 01:36:12 2022 commencing in-memory singleton removal
  63. Sun Aug 28 01:36:12 2022 begin with 94663544 relations and 79228851 unique ideals
  64. Sun Aug 28 01:36:16 2022 reduce to 94350637 relations and 74334137 ideals in 7 passes
  65. Sun Aug 28 01:36:16 2022 max relations containing the same ideal: 129
  66. Sun Aug 28 01:36:34 2022 removing 6420553 relations and 4420553 ideals in 2000000 cliques
  67. Sun Aug 28 01:36:37 2022 commencing in-memory singleton removal
  68. Sun Aug 28 01:36:37 2022 begin with 87930084 relations and 74334137 unique ideals
  69. Sun Aug 28 01:36:40 2022 reduce to 87616623 relations and 69594440 ideals in 7 passes
  70. Sun Aug 28 01:36:40 2022 max relations containing the same ideal: 123
  71. Sun Aug 28 01:36:58 2022 removing 6314344 relations and 4314344 ideals in 2000000 cliques
  72. Sun Aug 28 01:37:00 2022 commencing in-memory singleton removal
  73. Sun Aug 28 01:37:00 2022 begin with 81302279 relations and 69594440 unique ideals
  74. Sun Aug 28 01:37:03 2022 reduce to 80984442 relations and 64955909 ideals in 7 passes
  75. Sun Aug 28 01:37:03 2022 max relations containing the same ideal: 119
  76. Sun Aug 28 01:37:20 2022 removing 6236601 relations and 4236601 ideals in 2000000 cliques
  77. Sun Aug 28 01:37:22 2022 commencing in-memory singleton removal
  78. Sun Aug 28 01:37:22 2022 begin with 74747841 relations and 64955909 unique ideals
  79. Sun Aug 28 01:37:25 2022 reduce to 74418307 relations and 60382801 ideals in 7 passes
  80. Sun Aug 28 01:37:25 2022 max relations containing the same ideal: 112
  81. Sun Aug 28 01:37:40 2022 removing 6186455 relations and 4186455 ideals in 2000000 cliques
  82. Sun Aug 28 01:37:42 2022 commencing in-memory singleton removal
  83. Sun Aug 28 01:37:42 2022 begin with 68231852 relations and 60382801 unique ideals
  84. Sun Aug 28 01:37:45 2022 reduce to 67884373 relations and 55840842 ideals in 8 passes
  85. Sun Aug 28 01:37:45 2022 max relations containing the same ideal: 102
  86. Sun Aug 28 01:37:59 2022 removing 6159769 relations and 4159769 ideals in 2000000 cliques
  87. Sun Aug 28 01:38:01 2022 commencing in-memory singleton removal
  88. Sun Aug 28 01:38:01 2022 begin with 61724604 relations and 55840842 unique ideals
  89. Sun Aug 28 01:38:03 2022 reduce to 61353744 relations and 51301000 ideals in 7 passes
  90. Sun Aug 28 01:38:03 2022 max relations containing the same ideal: 96
  91. Sun Aug 28 01:38:16 2022 removing 6151339 relations and 4151339 ideals in 2000000 cliques
  92. Sun Aug 28 01:38:18 2022 commencing in-memory singleton removal
  93. Sun Aug 28 01:38:18 2022 begin with 55202405 relations and 51301000 unique ideals
  94. Sun Aug 28 01:38:20 2022 reduce to 54797995 relations and 46734051 ideals in 6 passes
  95. Sun Aug 28 01:38:20 2022 max relations containing the same ideal: 88
  96. Sun Aug 28 01:38:32 2022 removing 6157649 relations and 4157649 ideals in 2000000 cliques
  97. Sun Aug 28 01:38:33 2022 commencing in-memory singleton removal
  98. Sun Aug 28 01:38:34 2022 begin with 48640346 relations and 46734051 unique ideals
  99. Sun Aug 28 01:38:35 2022 reduce to 48191232 relations and 42113602 ideals in 7 passes
  100. Sun Aug 28 01:38:35 2022 max relations containing the same ideal: 83
  101. Sun Aug 28 01:38:46 2022 removing 6189196 relations and 4189196 ideals in 2000000 cliques
  102. Sun Aug 28 01:38:47 2022 commencing in-memory singleton removal
  103. Sun Aug 28 01:38:48 2022 begin with 42002036 relations and 42113602 unique ideals
  104. Sun Aug 28 01:38:49 2022 reduce to 41487893 relations and 37392385 ideals in 7 passes
  105. Sun Aug 28 01:38:49 2022 max relations containing the same ideal: 78
  106. Sun Aug 28 01:38:59 2022 removing 6236167 relations and 4236167 ideals in 2000000 cliques
  107. Sun Aug 28 01:39:00 2022 commencing in-memory singleton removal
  108. Sun Aug 28 01:39:00 2022 begin with 35251726 relations and 37392385 unique ideals
  109. Sun Aug 28 01:39:01 2022 reduce to 34637965 relations and 32517983 ideals in 8 passes
  110. Sun Aug 28 01:39:01 2022 max relations containing the same ideal: 66
  111. Sun Aug 28 01:39:10 2022 removing 3208127 relations and 2337892 ideals in 870235 cliques
  112. Sun Aug 28 01:39:11 2022 commencing in-memory singleton removal
  113. Sun Aug 28 01:39:11 2022 begin with 31429838 relations and 32517983 unique ideals
  114. Sun Aug 28 01:39:12 2022 reduce to 31221417 relations and 29967099 ideals in 8 passes
  115. Sun Aug 28 01:39:12 2022 max relations containing the same ideal: 62
  116. Sun Aug 28 01:39:23 2022 relations with 0 large ideals: 41095
  117. Sun Aug 28 01:39:23 2022 relations with 1 large ideals: 23743
  118. Sun Aug 28 01:39:23 2022 relations with 2 large ideals: 287099
  119. Sun Aug 28 01:39:23 2022 relations with 3 large ideals: 1563992
  120. Sun Aug 28 01:39:23 2022 relations with 4 large ideals: 4521473
  121. Sun Aug 28 01:39:23 2022 relations with 5 large ideals: 7703351
  122. Sun Aug 28 01:39:23 2022 relations with 6 large ideals: 8142380
  123. Sun Aug 28 01:39:23 2022 relations with 7+ large ideals: 8938284
  124. Sun Aug 28 01:39:23 2022 commencing 2-way merge
  125. Sun Aug 28 01:39:34 2022 reduce to 20512895 relation sets and 19258577 unique ideals
  126. Sun Aug 28 01:39:34 2022 commencing full merge
  127. Sun Aug 28 01:44:37 2022 memory use: 2576.6 MB
  128. Sun Aug 28 01:44:38 2022 found 9428638 cycles, need 9308777
  129. Sun Aug 28 01:44:40 2022 weight of 9308777 cycles is about 1117101940 (120.01/cycle)
  130. Sun Aug 28 01:44:40 2022 distribution of cycle lengths:
  131. Sun Aug 28 01:44:40 2022 1 relations: 388447
  132. Sun Aug 28 01:44:40 2022 2 relations: 538088
  133. Sun Aug 28 01:44:40 2022 3 relations: 637519
  134. Sun Aug 28 01:44:40 2022 4 relations: 675163
  135. Sun Aug 28 01:44:40 2022 5 relations: 703861
  136. Sun Aug 28 01:44:40 2022 6 relations: 709554
  137. Sun Aug 28 01:44:40 2022 7 relations: 703922
  138. Sun Aug 28 01:44:40 2022 8 relations: 676914
  139. Sun Aug 28 01:44:40 2022 9 relations: 636452
  140. Sun Aug 28 01:44:40 2022 10+ relations: 3638857
  141. Sun Aug 28 01:44:40 2022 heaviest cycle: 28 relations
  142. Sun Aug 28 01:44:43 2022 commencing cycle optimization
  143. Sun Aug 28 01:44:56 2022 start with 80628080 relations
  144. Sun Aug 28 01:47:01 2022 pruned 3914304 relations
  145. Sun Aug 28 01:47:01 2022 memory use: 2117.3 MB
  146. Sun Aug 28 01:47:01 2022 distribution of cycle lengths:
  147. Sun Aug 28 01:47:01 2022 1 relations: 388447
  148. Sun Aug 28 01:47:01 2022 2 relations: 551870
  149. Sun Aug 28 01:47:01 2022 3 relations: 665106
  150. Sun Aug 28 01:47:01 2022 4 relations: 705653
  151. Sun Aug 28 01:47:01 2022 5 relations: 743590
  152. Sun Aug 28 01:47:01 2022 6 relations: 749264
  153. Sun Aug 28 01:47:01 2022 7 relations: 746156
  154. Sun Aug 28 01:47:01 2022 8 relations: 714879
  155. Sun Aug 28 01:47:01 2022 9 relations: 671292
  156. Sun Aug 28 01:47:01 2022 10+ relations: 3372520
  157. Sun Aug 28 01:47:01 2022 heaviest cycle: 27 relations
  158. Sun Aug 28 01:47:12 2022 RelProcTime: 1342
  159. Sun Aug 28 01:47:12 2022 elapsed time 00:22:23
  160. Sun Aug 28 01:47:20 2022
  161. Sun Aug 28 01:47:20 2022
  162. Sun Aug 28 01:47:20 2022 Msieve v. 1.54 (SVN unknown)
  163. Sun Aug 28 01:47:20 2022 random seeds: 30a726e2 496ebd4f
  164. Sun Aug 28 01:47:20 2022 MPI process 0 of 8
  165. Sun Aug 28 01:47:20 2022 factoring 2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (250 digits)
  166. Sun Aug 28 01:47:21 2022 no P-1/P+1/ECM available, skipping
  167. Sun Aug 28 01:47:21 2022 commencing number field sieve (250-digit input)
  168. Sun Aug 28 01:47:21 2022 R0: -100000000000000000000000000000000000000000
  169. Sun Aug 28 01:47:21 2022 R1: 1
  170. Sun Aug 28 01:47:21 2022 A0: -1
  171. Sun Aug 28 01:47:21 2022 A1: 0
  172. Sun Aug 28 01:47:21 2022 A2: 0
  173. Sun Aug 28 01:47:21 2022 A3: 0
  174. Sun Aug 28 01:47:21 2022 A4: 0
  175. Sun Aug 28 01:47:21 2022 A5: 0
  176. Sun Aug 28 01:47:21 2022 A6: 19000
  177. Sun Aug 28 01:47:21 2022 skew 0.19, size 1.825e-12, alpha -0.369, combined = 1.846e-13 rroots = 2
  178. Sun Aug 28 01:47:21 2022
  179. Sun Aug 28 01:47:21 2022 commencing linear algebra
  180. Sun Aug 28 01:47:21 2022 using VBITS=256
  181. Sun Aug 28 01:47:21 2022 initialized process (0,0) of 2 x 4 grid
  182. Sun Aug 28 01:47:21 2022 read 9308777 cycles
  183. Sun Aug 28 01:47:35 2022 cycles contain 30589448 unique relations
  184. Sun Aug 28 01:48:05 2022 read 30589448 relations
  185. Sun Aug 28 01:48:12 2022 using 20 quadratic characters above 4294917295
  186. Sun Aug 28 01:48:25 2022 building initial matrix
  187. Sun Aug 28 01:53:08 2022 memory use: 4017.0 MB
  188. Sun Aug 28 01:53:13 2022 read 9308777 cycles
  189. Sun Aug 28 01:53:14 2022 matrix is 9308599 x 9308777 (4344.1 MB) with weight 1251655558 (134.46/col)
  190. Sun Aug 28 01:53:14 2022 sparse part has weight 1045685281 (112.33/col)
  191. Sun Aug 28 01:54:20 2022 filtering completed in 2 passes
  192. Sun Aug 28 01:54:21 2022 matrix is 9308192 x 9308363 (4344.0 MB) with weight 1251638026 (134.46/col)
  193. Sun Aug 28 01:54:21 2022 sparse part has weight 1045676872 (112.34/col)
  194. Sun Aug 28 01:54:40 2022 matrix starts at (0, 0)
  195. Sun Aug 28 01:54:40 2022 matrix is 4654216 x 2187102 (629.2 MB) with weight 190441648 (87.07/col)
  196. Sun Aug 28 01:54:40 2022 sparse part has weight 143066599 (65.41/col)
  197. Sun Aug 28 01:54:40 2022 saving the first 240 matrix rows for later
  198. Sun Aug 28 01:54:40 2022 matrix includes 256 packed rows
  199. Sun Aug 28 01:54:41 2022 matrix is 4653976 x 2187102 (549.1 MB) with weight 118404305 (54.14/col)
  200. Sun Aug 28 01:54:41 2022 sparse part has weight 108946108 (49.81/col)
  201. Sun Aug 28 01:54:41 2022 using GPU 0 (NVIDIA A100-SXM4-40GB)
  202. Sun Aug 28 01:54:41 2022 selected card has CUDA arch 8.0
  203. Sun Aug 28 01:54:47 2022 commencing Lanczos iteration
  204. Sun Aug 28 01:54:47 2022 memory use: 1408.3 MB
  205. Sun Aug 28 01:54:48 2022 linear algebra at 0.1%, ETA 0h20m
  206. Sun Aug 28 01:54:48 2022 checkpointing every 28520000 dimensions
  207. Sun Aug 28 02:08:44 2022 lanczos halted after 36470 iterations (dim = 9307952)
  208. Sun Aug 28 02:09:10 2022 recovered 36 nontrivial dependencies
  209. Sun Aug 28 02:09:10 2022 BLanczosTime: 1309
  210. Sun Aug 28 02:09:10 2022 elapsed time 00:21:50
  211. Sun Aug 28 02:09:13 2022
  212. Sun Aug 28 02:09:13 2022
  213. Sun Aug 28 02:09:13 2022 Msieve v. 1.54 (SVN unknown)
  214. Sun Aug 28 02:09:13 2022 random seeds: db18c733 8d08ff05
  215. Sun Aug 28 02:09:13 2022 MPI process 0 of 1
  216. Sun Aug 28 02:09:13 2022 factoring 2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (250 digits)
  217. Sun Aug 28 02:09:14 2022 no P-1/P+1/ECM available, skipping
  218. Sun Aug 28 02:09:14 2022 commencing number field sieve (250-digit input)
  219. Sun Aug 28 02:09:14 2022 R0: -100000000000000000000000000000000000000000
  220. Sun Aug 28 02:09:14 2022 R1: 1
  221. Sun Aug 28 02:09:14 2022 A0: -1
  222. Sun Aug 28 02:09:14 2022 A1: 0
  223. Sun Aug 28 02:09:14 2022 A2: 0
  224. Sun Aug 28 02:09:14 2022 A3: 0
  225. Sun Aug 28 02:09:14 2022 A4: 0
  226. Sun Aug 28 02:09:14 2022 A5: 0
  227. Sun Aug 28 02:09:14 2022 A6: 19000
  228. Sun Aug 28 02:09:14 2022 skew 0.19, size 1.825e-12, alpha -0.369, combined = 1.846e-13 rroots = 2
  229. Sun Aug 28 02:09:14 2022
  230. Sun Aug 28 02:09:14 2022 commencing square root phase
  231. Sun Aug 28 02:09:14 2022 reading relations for dependency 1
  232. Sun Aug 28 02:09:15 2022 read 4653375 cycles
  233. Sun Aug 28 02:09:21 2022 cycles contain 15292276 unique relations
  234. Sun Aug 28 02:09:36 2022 read 15292276 relations
  235. Sun Aug 28 02:10:27 2022 multiplying 15292276 relations
  236. Sun Aug 28 02:11:35 2022 multiply complete, coefficients have about 592.05 million bits
  237. Sun Aug 28 02:11:36 2022 initial square root is modulo 205063
  238. Sun Aug 28 02:14:58 2022 Newton iteration failed to converge
  239. Sun Aug 28 02:14:58 2022 algebraic square root failed
  240. Sun Aug 28 02:14:58 2022 reading relations for dependency 2
  241. Sun Aug 28 02:14:59 2022 read 4653139 cycles
  242. Sun Aug 28 02:15:05 2022 cycles contain 15294868 unique relations
  243. Sun Aug 28 02:15:17 2022 read 15294868 relations
  244. Sun Aug 28 02:16:07 2022 multiplying 15294868 relations
  245. Sun Aug 28 02:17:14 2022 multiply complete, coefficients have about 592.15 million bits
  246. Sun Aug 28 02:17:15 2022 initial square root is modulo 205399
  247. Sun Aug 28 02:20:31 2022 GCD is N, no factor found
  248. Sun Aug 28 02:20:31 2022 reading relations for dependency 3
  249. Sun Aug 28 02:20:32 2022 read 4655680 cycles
  250. Sun Aug 28 02:20:38 2022 cycles contain 15299544 unique relations
  251. Sun Aug 28 02:20:49 2022 read 15299544 relations
  252. Sun Aug 28 02:21:39 2022 multiplying 15299544 relations
  253. Sun Aug 28 02:22:41 2022 multiply complete, coefficients have about 592.33 million bits
  254. Sun Aug 28 02:22:43 2022 initial square root is modulo 206179
  255. Sun Aug 28 02:26:00 2022 GCD is 1, no factor found
  256. Sun Aug 28 02:26:00 2022 reading relations for dependency 4
  257. Sun Aug 28 02:26:00 2022 read 4654549 cycles
  258. Sun Aug 28 02:26:07 2022 cycles contain 15296270 unique relations
  259. Sun Aug 28 02:26:18 2022 read 15296270 relations
  260. Sun Aug 28 02:27:08 2022 multiplying 15296270 relations
  261. Sun Aug 28 02:28:10 2022 multiply complete, coefficients have about 592.21 million bits
  262. Sun Aug 28 02:28:11 2022 initial square root is modulo 205603
  263. Sun Aug 28 02:31:26 2022 sqrtTime: 1332
  264. Sun Aug 28 02:31:26 2022 p95 factor: 30544684036330069556179549311070538143517107493874826991201012360121539484036073599004191577181
  265. Sun Aug 28 02:31:26 2022 p155 factor: 69115500052321385508527241463730184598813250325229829776008196126143974912792912659782470993005224319396801699830724732169511844588721348263891081865788531
  266. Sun Aug 28 02:31:26 2022 elapsed time 00:22:13
  267.  
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