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11m6_251

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Apr 22nd, 2022
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  1. Tue Apr 19 07:44:39 2022
  2. Tue Apr 19 07:44:39 2022
  3. Tue Apr 19 07:44:39 2022 Msieve v. 1.54 (SVN 1040M)
  4. Tue Apr 19 07:44:39 2022 random seeds: 51ac4e38 5dce61cf
  5. Tue Apr 19 07:44:39 2022 factoring 25681120412536688522162475454693629805473422435965865611552914991850152897575142727811544685355148008361109680477567129742971824026194979242578089560292783787513493086561209678328022430364048434654829683184992450542724464055334890947734222273051511 (248 digits)
  6. Tue Apr 19 07:44:40 2022 searching for 15-digit factors
  7. Tue Apr 19 07:44:40 2022 commencing number field sieve (248-digit input)
  8. Tue Apr 19 07:44:40 2022 R0: 54763699237492901685126120802225273763666521
  9. Tue Apr 19 07:44:40 2022 R1: -481229803398374426442198455156736
  10. Tue Apr 19 07:44:40 2022 A0: -11
  11. Tue Apr 19 07:44:40 2022 A1: 0
  12. Tue Apr 19 07:44:40 2022 A2: 0
  13. Tue Apr 19 07:44:40 2022 A3: 0
  14. Tue Apr 19 07:44:40 2022 A4: 0
  15. Tue Apr 19 07:44:40 2022 A5: 0
  16. Tue Apr 19 07:44:40 2022 A6: 6
  17. Tue Apr 19 07:44:40 2022 skew 1.11, size 4.326e-13, alpha 2.066, combined = 6.245e-14 rroots = 2
  18. Tue Apr 19 07:44:40 2022
  19. Tue Apr 19 07:44:40 2022 commencing relation filtering
  20. Tue Apr 19 07:44:40 2022 setting target matrix density to 126.0
  21. Tue Apr 19 07:44:40 2022 estimated available RAM is 32768.0 MB
  22. Tue Apr 19 07:44:40 2022 commencing duplicate removal, pass 1
  23. Tue Apr 19 07:53:59 2022 error -15 reading relation 84455998
  24. Tue Apr 19 07:57:57 2022 error -15 reading relation 121725994
  25. Tue Apr 19 08:01:04 2022 error -15 reading relation 151298524
  26. Tue Apr 19 08:01:04 2022 error -15 reading relation 151418227
  27. Tue Apr 19 08:05:22 2022 error -5 reading relation 194183744
  28. Tue Apr 19 08:08:39 2022 error -11 reading relation 226860358
  29. Tue Apr 19 08:10:17 2022 error -15 reading relation 242992310
  30. Tue Apr 19 08:12:28 2022 skipped 978 relations with b > 2^32
  31. Tue Apr 19 08:12:28 2022 skipped 1 relations with composite factors
  32. Tue Apr 19 08:12:28 2022 found 15074881 hash collisions in 264882939 relations
  33. Tue Apr 19 08:12:39 2022 added 1218474 free relations
  34. Tue Apr 19 08:12:39 2022 commencing duplicate removal, pass 2
  35. Tue Apr 19 08:13:51 2022 found 0 duplicates and 266101413 unique relations
  36. Tue Apr 19 08:13:51 2022 memory use: 788.8 MB
  37. Tue Apr 19 08:13:52 2022 reading ideals above 221708288
  38. Tue Apr 19 08:13:52 2022 commencing singleton removal, initial pass
  39. Tue Apr 19 08:32:56 2022 memory use: 6024.0 MB
  40. Tue Apr 19 08:32:57 2022 reading all ideals from disk
  41. Tue Apr 19 08:33:00 2022 memory use: 4658.4 MB
  42. Tue Apr 19 08:33:09 2022 commencing in-memory singleton removal
  43. Tue Apr 19 08:33:18 2022 begin with 266101413 relations and 227525382 unique ideals
  44. Tue Apr 19 08:34:48 2022 reduce to 166325777 relations and 117197227 ideals in 15 passes
  45. Tue Apr 19 08:34:48 2022 max relations containing the same ideal: 38
  46. Tue Apr 19 08:35:01 2022 reading ideals above 720000
  47. Tue Apr 19 08:35:01 2022 commencing singleton removal, initial pass
  48. Tue Apr 19 08:51:05 2022 memory use: 3012.0 MB
  49. Tue Apr 19 08:51:05 2022 reading all ideals from disk
  50. Tue Apr 19 08:51:10 2022 memory use: 6926.2 MB
  51. Tue Apr 19 08:51:25 2022 keeping 140737314 ideals with weight <= 200, target excess is 880771
  52. Tue Apr 19 08:51:41 2022 commencing in-memory singleton removal
  53. Tue Apr 19 08:51:53 2022 begin with 166325777 relations and 140737314 unique ideals
  54. Tue Apr 19 08:53:24 2022 reduce to 166312185 relations and 140723722 ideals in 8 passes
  55. Tue Apr 19 08:53:24 2022 max relations containing the same ideal: 200
  56. Tue Apr 19 08:54:32 2022 removing 12841626 relations and 10841626 ideals in 2000000 cliques
  57. Tue Apr 19 08:54:37 2022 commencing in-memory singleton removal
  58. Tue Apr 19 08:54:48 2022 begin with 153470559 relations and 140723722 unique ideals
  59. Tue Apr 19 08:56:23 2022 reduce to 152665145 relations and 129063644 ideals in 9 passes
  60. Tue Apr 19 08:56:23 2022 max relations containing the same ideal: 197
  61. Tue Apr 19 08:57:24 2022 removing 9737467 relations and 7737467 ideals in 2000000 cliques
  62. Tue Apr 19 08:57:29 2022 commencing in-memory singleton removal
  63. Tue Apr 19 08:57:39 2022 begin with 142927678 relations and 129063644 unique ideals
  64. Tue Apr 19 08:58:58 2022 reduce to 142405690 relations and 120796846 ideals in 8 passes
  65. Tue Apr 19 08:58:58 2022 max relations containing the same ideal: 191
  66. Tue Apr 19 08:59:56 2022 removing 8783628 relations and 6783628 ideals in 2000000 cliques
  67. Tue Apr 19 09:00:00 2022 commencing in-memory singleton removal
  68. Tue Apr 19 09:00:09 2022 begin with 133622062 relations and 120796846 unique ideals
  69. Tue Apr 19 09:01:14 2022 reduce to 133168369 relations and 113553324 ideals in 7 passes
  70. Tue Apr 19 09:01:14 2022 max relations containing the same ideal: 184
  71. Tue Apr 19 09:02:09 2022 removing 8287697 relations and 6287697 ideals in 2000000 cliques
  72. Tue Apr 19 09:02:13 2022 commencing in-memory singleton removal
  73. Tue Apr 19 09:02:22 2022 begin with 124880672 relations and 113553324 unique ideals
  74. Tue Apr 19 09:03:37 2022 reduce to 124449935 relations and 106828732 ideals in 9 passes
  75. Tue Apr 19 09:03:37 2022 max relations containing the same ideal: 177
  76. Tue Apr 19 09:04:29 2022 removing 7985364 relations and 5985364 ideals in 2000000 cliques
  77. Tue Apr 19 09:04:32 2022 commencing in-memory singleton removal
  78. Tue Apr 19 09:04:41 2022 begin with 116464571 relations and 106828732 unique ideals
  79. Tue Apr 19 09:05:43 2022 reduce to 116043242 relations and 100415955 ideals in 8 passes
  80. Tue Apr 19 09:05:43 2022 max relations containing the same ideal: 171
  81. Tue Apr 19 09:06:31 2022 removing 7783578 relations and 5783578 ideals in 2000000 cliques
  82. Tue Apr 19 09:06:34 2022 commencing in-memory singleton removal
  83. Tue Apr 19 09:06:42 2022 begin with 108259664 relations and 100415955 unique ideals
  84. Tue Apr 19 09:07:40 2022 reduce to 107836732 relations and 94202936 ideals in 8 passes
  85. Tue Apr 19 09:07:40 2022 max relations containing the same ideal: 159
  86. Tue Apr 19 09:08:25 2022 removing 7650423 relations and 5650423 ideals in 2000000 cliques
  87. Tue Apr 19 09:08:29 2022 commencing in-memory singleton removal
  88. Tue Apr 19 09:08:36 2022 begin with 100186309 relations and 94202936 unique ideals
  89. Tue Apr 19 09:09:28 2022 reduce to 99753307 relations and 88112437 ideals in 8 passes
  90. Tue Apr 19 09:09:28 2022 max relations containing the same ideal: 153
  91. Tue Apr 19 09:10:10 2022 removing 7558142 relations and 5558142 ideals in 2000000 cliques
  92. Tue Apr 19 09:10:13 2022 commencing in-memory singleton removal
  93. Tue Apr 19 09:10:20 2022 begin with 92195165 relations and 88112437 unique ideals
  94. Tue Apr 19 09:11:08 2022 reduce to 91746814 relations and 82098048 ideals in 8 passes
  95. Tue Apr 19 09:11:08 2022 max relations containing the same ideal: 148
  96. Tue Apr 19 09:11:47 2022 removing 7503509 relations and 5503509 ideals in 2000000 cliques
  97. Tue Apr 19 09:11:50 2022 commencing in-memory singleton removal
  98. Tue Apr 19 09:11:55 2022 begin with 84243305 relations and 82098048 unique ideals
  99. Tue Apr 19 09:12:45 2022 reduce to 83769798 relations and 76112045 ideals in 9 passes
  100. Tue Apr 19 09:12:45 2022 max relations containing the same ideal: 141
  101. Tue Apr 19 09:13:21 2022 removing 7473622 relations and 5473622 ideals in 2000000 cliques
  102. Tue Apr 19 09:13:23 2022 commencing in-memory singleton removal
  103. Tue Apr 19 09:13:29 2022 begin with 76296176 relations and 76112045 unique ideals
  104. Tue Apr 19 09:14:03 2022 reduce to 75788857 relations and 70120629 ideals in 7 passes
  105. Tue Apr 19 09:14:03 2022 max relations containing the same ideal: 131
  106. Tue Apr 19 09:14:36 2022 removing 7471277 relations and 5471277 ideals in 2000000 cliques
  107. Tue Apr 19 09:14:39 2022 commencing in-memory singleton removal
  108. Tue Apr 19 09:14:43 2022 begin with 68317580 relations and 70120629 unique ideals
  109. Tue Apr 19 09:15:14 2022 reduce to 67759597 relations and 64078890 ideals in 7 passes
  110. Tue Apr 19 09:15:14 2022 max relations containing the same ideal: 119
  111. Tue Apr 19 09:15:43 2022 removing 7492760 relations and 5492760 ideals in 2000000 cliques
  112. Tue Apr 19 09:15:45 2022 commencing in-memory singleton removal
  113. Tue Apr 19 09:15:49 2022 begin with 60266837 relations and 64078890 unique ideals
  114. Tue Apr 19 09:16:20 2022 reduce to 59644743 relations and 57948519 ideals in 8 passes
  115. Tue Apr 19 09:16:20 2022 max relations containing the same ideal: 111
  116. Tue Apr 19 09:16:46 2022 removing 3160348 relations and 2485819 ideals in 674529 cliques
  117. Tue Apr 19 09:16:48 2022 commencing in-memory singleton removal
  118. Tue Apr 19 09:16:51 2022 begin with 56484395 relations and 57948519 unique ideals
  119. Tue Apr 19 09:17:16 2022 reduce to 56368994 relations and 55346147 ideals in 7 passes
  120. Tue Apr 19 09:17:16 2022 max relations containing the same ideal: 105
  121. Tue Apr 19 09:17:46 2022 relations with 0 large ideals: 32440
  122. Tue Apr 19 09:17:46 2022 relations with 1 large ideals: 10970
  123. Tue Apr 19 09:17:46 2022 relations with 2 large ideals: 113236
  124. Tue Apr 19 09:17:46 2022 relations with 3 large ideals: 851166
  125. Tue Apr 19 09:17:46 2022 relations with 4 large ideals: 3521882
  126. Tue Apr 19 09:17:46 2022 relations with 5 large ideals: 8825255
  127. Tue Apr 19 09:17:46 2022 relations with 6 large ideals: 13956922
  128. Tue Apr 19 09:17:46 2022 relations with 7+ large ideals: 29057123
  129. Tue Apr 19 09:17:46 2022 commencing 2-way merge
  130. Tue Apr 19 09:18:21 2022 reduce to 36613400 relation sets and 35590553 unique ideals
  131. Tue Apr 19 09:18:21 2022 commencing full merge
  132. Tue Apr 19 09:31:22 2022 memory use: 4864.2 MB
  133. Tue Apr 19 09:31:27 2022 found 16363684 cycles, need 16360753
  134. Tue Apr 19 09:31:28 2022 weight of 16360753 cycles is about 2062003313 (126.03/cycle)
  135. Tue Apr 19 09:31:28 2022 distribution of cycle lengths:
  136. Tue Apr 19 09:31:28 2022 1 relations: 768667
  137. Tue Apr 19 09:31:28 2022 2 relations: 1026014
  138. Tue Apr 19 09:31:28 2022 3 relations: 1160509
  139. Tue Apr 19 09:31:28 2022 4 relations: 1172297
  140. Tue Apr 19 09:31:28 2022 5 relations: 1172733
  141. Tue Apr 19 09:31:28 2022 6 relations: 1142586
  142. Tue Apr 19 09:31:28 2022 7 relations: 1112412
  143. Tue Apr 19 09:31:28 2022 8 relations: 1059894
  144. Tue Apr 19 09:31:28 2022 9 relations: 998787
  145. Tue Apr 19 09:31:28 2022 10+ relations: 6746854
  146. Tue Apr 19 09:31:28 2022 heaviest cycle: 28 relations
  147. Tue Apr 19 09:31:33 2022 commencing cycle optimization
  148. Tue Apr 19 09:32:00 2022 start with 148394435 relations
  149. Tue Apr 19 09:38:31 2022 pruned 6797702 relations
  150. Tue Apr 19 09:38:31 2022 memory use: 3866.7 MB
  151. Tue Apr 19 09:38:31 2022 distribution of cycle lengths:
  152. Tue Apr 19 09:38:31 2022 1 relations: 768667
  153. Tue Apr 19 09:38:31 2022 2 relations: 1051040
  154. Tue Apr 19 09:38:31 2022 3 relations: 1209739
  155. Tue Apr 19 09:38:31 2022 4 relations: 1219459
  156. Tue Apr 19 09:38:31 2022 5 relations: 1228996
  157. Tue Apr 19 09:38:31 2022 6 relations: 1194748
  158. Tue Apr 19 09:38:31 2022 7 relations: 1166695
  159. Tue Apr 19 09:38:31 2022 8 relations: 1107210
  160. Tue Apr 19 09:38:31 2022 9 relations: 1044802
  161. Tue Apr 19 09:38:31 2022 10+ relations: 6369397
  162. Tue Apr 19 09:38:31 2022 heaviest cycle: 28 relations
  163. Tue Apr 19 09:38:46 2022 RelProcTime: 6846
  164. Tue Apr 19 09:38:46 2022
  165. Tue Apr 19 09:38:46 2022 commencing linear algebra
  166. Tue Apr 19 09:38:49 2022 read 16360753 cycles
  167. Tue Apr 19 09:39:26 2022 cycles contain 55803087 unique relations
  168. Tue Apr 19 09:43:02 2022 read 55803087 relations
  169. Tue Apr 19 09:45:25 2022 using 20 quadratic characters above 4294917295
  170. Tue Apr 19 09:48:48 2022 building initial matrix
  171. Tue Apr 19 09:58:22 2022 memory use: 7199.4 MB
  172. Tue Apr 19 09:58:40 2022 read 16360753 cycles
  173. Tue Apr 19 09:58:46 2022 matrix is 16360576 x 16360753 (8013.9 MB) with weight 2286079033 (139.73/col)
  174. Tue Apr 19 09:58:46 2022 sparse part has weight 1937175707 (118.40/col)
  175. Tue Apr 19 10:01:52 2022 filtering completed in 2 passes
  176. Tue Apr 19 10:01:54 2022 matrix is 16360498 x 16360675 (8013.8 MB) with weight 2286076815 (139.73/col)
  177. Tue Apr 19 10:01:54 2022 sparse part has weight 1937175155 (118.40/col)
  178. Tue Apr 19 10:02:48 2022 matrix starts at (0, 0)
  179. Tue Apr 19 10:02:49 2022 matrix is 16360498 x 16360675 (8013.8 MB) with weight 2286076815 (139.73/col)
  180. Tue Apr 19 10:02:49 2022 sparse part has weight 1937175155 (118.40/col)
  181. Tue Apr 19 10:02:49 2022 saving the first 48 matrix rows for later
  182. Tue Apr 19 10:02:52 2022 matrix includes 64 packed rows
  183. Tue Apr 19 10:02:53 2022 matrix is 16360450 x 16360675 (7729.2 MB) with weight 1972090037 (120.54/col)
  184. Tue Apr 19 10:02:53 2022 sparse part has weight 1862563709 (113.84/col)
  185. Tue Apr 19 10:02:53 2022 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  186. Tue Apr 19 10:03:58 2022 commencing Lanczos iteration (16 threads)
  187. Tue Apr 19 10:03:58 2022 memory use: 7435.8 MB
  188. Tue Apr 19 10:04:20 2022 linear algebra at 0.0%, ETA 62h56m
  189. Tue Apr 19 10:04:27 2022 checkpointing every 260000 dimensions
  190. Thu Apr 21 23:16:18 2022 lanczos halted after 258735 iterations (dim = 16360448)
  191. Thu Apr 21 23:16:33 2022 recovered 35 nontrivial dependencies
  192. Thu Apr 21 23:16:46 2022 BLanczosTime: 221880
  193. Thu Apr 21 23:16:46 2022
  194. Thu Apr 21 23:16:46 2022 commencing square root phase
  195. Thu Apr 21 23:16:46 2022 handling dependencies 1 to 64
  196. Thu Apr 21 23:16:46 2022 reading relations for dependency 1
  197. Thu Apr 21 23:16:49 2022 read 8182316 cycles
  198. Thu Apr 21 23:17:06 2022 cycles contain 27899690 unique relations
  199. Thu Apr 21 23:19:05 2022 read 27899690 relations
  200. Thu Apr 21 23:21:02 2022 multiplying 27899690 relations
  201. Thu Apr 21 23:42:47 2022 multiply complete, coefficients have about 803.91 million bits
  202. Thu Apr 21 23:42:49 2022 initial square root is modulo 16305031
  203. Fri Apr 22 00:07:45 2022 sqrtTime: 3059
  204. Fri Apr 22 00:07:45 2022 p118 factor: 5681800633059770170579322866990000664123436303476040743240250781305250087847131609203962422950191915432338514230351187
  205. Fri Apr 22 00:07:45 2022 p130 factor: 4519891152658564930848762636578745021994058822797925627617153437239183155833538810314391039840506903348195453205386357653557147853
  206. Fri Apr 22 00:07:45 2022 elapsed time 64:23:06
  207.  
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