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Mar 27th, 2021
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  1. Thu Feb 11 19:09:26 2021
  2. Thu Feb 11 19:09:26 2021
  3. Thu Feb 11 19:09:26 2021 Msieve v. 1.52 (SVN unknown)
  4. Thu Feb 11 19:09:26 2021 random seeds: dab335c0 f2d35cfa
  5. Thu Feb 11 19:09:26 2021 factoring 81126707605131749248439355941141366251966523596605931003951611424063019334744337242620943417632604950242280884339626505774245295904326535524881832516584301311303559627751600259623414041156020318876711265591076271407081 (218 digits)
  6. Thu Feb 11 19:09:27 2021 no P-1/P+1/ECM available, skipping
  7. Thu Feb 11 19:09:27 2021 commencing number field sieve (218-digit input)
  8. Thu Feb 11 19:09:27 2021 R0: 2904576954031412851051723995925602774820393
  9. Thu Feb 11 19:09:27 2021 R1: -1
  10. Thu Feb 11 19:09:27 2021 A0: -310897033
  11. Thu Feb 11 19:09:27 2021 A1: 0
  12. Thu Feb 11 19:09:27 2021 A2: 0
  13. Thu Feb 11 19:09:27 2021 A3: 0
  14. Thu Feb 11 19:09:27 2021 A4: 0
  15. Thu Feb 11 19:09:27 2021 A5: 0
  16. Thu Feb 11 19:09:27 2021 A6: 1
  17. Thu Feb 11 19:09:27 2021 skew 26.03, size 2.164e-013, alpha 1.324, combined = 4.044e-014 rroots = 2
  18. Thu Feb 11 19:09:27 2021
  19. Thu Feb 11 19:09:27 2021 commencing relation filtering
  20. Thu Feb 11 19:09:27 2021 setting target matrix density to 110.0
  21. Thu Feb 11 19:09:27 2021 estimated available RAM is 16316.6 MB
  22. Thu Feb 11 19:09:27 2021 commencing duplicate removal, pass 1
  23. Thu Feb 11 19:10:06 2021 error -5 reading relation 4386514
  24. Thu Feb 11 19:10:36 2021 error -9 reading relation 7732118
  25. Thu Feb 11 19:10:36 2021 error -15 reading relation 7732226
  26. Thu Feb 11 19:10:53 2021 error -9 reading relation 9621604
  27. Thu Feb 11 19:11:05 2021 error -15 reading relation 10930670
  28. Thu Feb 11 19:11:06 2021 error -15 reading relation 11056619
  29. Thu Feb 11 20:01:31 2021 error -15 reading relation 350196506
  30. Thu Feb 11 20:01:32 2021 error -15 reading relation 350333362
  31. Thu Feb 11 20:01:34 2021 error -15 reading relation 350529254
  32. Thu Feb 11 20:01:35 2021 error -15 reading relation 350638242
  33. Thu Feb 11 20:01:41 2021 error -9 reading relation 351325990
  34. Thu Feb 11 20:01:44 2021 error -15 reading relation 351614759
  35. Thu Feb 11 20:02:15 2021 skipped 16 relations with b > 2^32
  36. Thu Feb 11 20:02:15 2021 found 82432374 hash collisions in 353519389 relations
  37. Thu Feb 11 20:02:34 2021 commencing duplicate removal, pass 2
  38. Thu Feb 11 20:14:49 2021 found 83395320 duplicates and 270124069 unique relations
  39. Thu Feb 11 20:14:49 2021 memory use: 2387.0 MB
  40. Thu Feb 11 20:14:49 2021 reading ideals above 249888768
  41. Thu Feb 11 20:14:49 2021 commencing singleton removal, initial pass
  42. Thu Feb 11 21:01:14 2021 memory use: 6024.0 MB
  43. Thu Feb 11 21:01:15 2021 reading all ideals from disk
  44. Thu Feb 11 21:02:18 2021 memory use: 4850.9 MB
  45. Thu Feb 11 21:02:28 2021 commencing in-memory singleton removal
  46. Thu Feb 11 21:02:38 2021 begin with 270124069 relations and 233674452 unique ideals
  47. Thu Feb 11 21:04:47 2021 reduce to 173436738 relations and 127451457 ideals in 17 passes
  48. Thu Feb 11 21:04:47 2021 max relations containing the same ideal: 54
  49. Thu Feb 11 21:04:59 2021 reading ideals above 720000
  50. Thu Feb 11 21:05:00 2021 commencing singleton removal, initial pass
  51. Thu Feb 11 21:43:13 2021 memory use: 3012.0 MB
  52. Thu Feb 11 21:43:13 2021 reading all ideals from disk
  53. Thu Feb 11 21:45:01 2021 memory use: 7325.1 MB
  54. Thu Feb 11 21:45:21 2021 keeping 153900255 ideals with weight <= 200, target excess is 900562
  55. Thu Feb 11 21:45:43 2021 commencing in-memory singleton removal
  56. Thu Feb 11 21:45:58 2021 begin with 173436738 relations and 153900255 unique ideals
  57. Thu Feb 11 21:48:24 2021 reduce to 173432360 relations and 153895877 ideals in 9 passes
  58. Thu Feb 11 21:48:24 2021 max relations containing the same ideal: 200
  59. Thu Feb 11 21:49:46 2021 removing 13469123 relations and 11469123 ideals in 2000000 cliques
  60. Thu Feb 11 21:49:50 2021 commencing in-memory singleton removal
  61. Thu Feb 11 21:50:04 2021 begin with 159963237 relations and 153895877 unique ideals
  62. Thu Feb 11 21:52:18 2021 reduce to 159065353 relations and 141514728 ideals in 9 passes
  63. Thu Feb 11 21:52:18 2021 max relations containing the same ideal: 196
  64. Thu Feb 11 21:53:34 2021 removing 10304734 relations and 8304734 ideals in 2000000 cliques
  65. Thu Feb 11 21:53:37 2021 commencing in-memory singleton removal
  66. Thu Feb 11 21:53:50 2021 begin with 148760619 relations and 141514728 unique ideals
  67. Thu Feb 11 21:55:42 2021 reduce to 148172471 relations and 132613803 ideals in 8 passes
  68. Thu Feb 11 21:55:42 2021 max relations containing the same ideal: 188
  69. Thu Feb 11 21:56:52 2021 removing 9353748 relations and 7353748 ideals in 2000000 cliques
  70. Thu Feb 11 21:56:55 2021 commencing in-memory singleton removal
  71. Thu Feb 11 21:57:08 2021 begin with 138818723 relations and 132613803 unique ideals
  72. Thu Feb 11 21:59:03 2021 reduce to 138294472 relations and 124728782 ideals in 9 passes
  73. Thu Feb 11 21:59:03 2021 max relations containing the same ideal: 183
  74. Thu Feb 11 22:00:09 2021 removing 8871482 relations and 6871482 ideals in 2000000 cliques
  75. Thu Feb 11 22:00:12 2021 commencing in-memory singleton removal
  76. Thu Feb 11 22:00:23 2021 begin with 129422990 relations and 124728782 unique ideals
  77. Thu Feb 11 22:01:58 2021 reduce to 128921086 relations and 117348589 ideals in 8 passes
  78. Thu Feb 11 22:01:58 2021 max relations containing the same ideal: 177
  79. Thu Feb 11 22:03:00 2021 removing 8591017 relations and 6591017 ideals in 2000000 cliques
  80. Thu Feb 11 22:03:03 2021 commencing in-memory singleton removal
  81. Thu Feb 11 22:03:14 2021 begin with 120330069 relations and 117348589 unique ideals
  82. Thu Feb 11 22:04:42 2021 reduce to 119829650 relations and 110250064 ideals in 8 passes
  83. Thu Feb 11 22:04:42 2021 max relations containing the same ideal: 171
  84. Thu Feb 11 22:05:40 2021 removing 8419821 relations and 6419821 ideals in 2000000 cliques
  85. Thu Feb 11 22:05:43 2021 commencing in-memory singleton removal
  86. Thu Feb 11 22:05:52 2021 begin with 111409829 relations and 110250064 unique ideals
  87. Thu Feb 11 22:07:13 2021 reduce to 110896245 relations and 103309037 ideals in 8 passes
  88. Thu Feb 11 22:07:13 2021 max relations containing the same ideal: 162
  89. Thu Feb 11 22:08:07 2021 removing 8329118 relations and 6329118 ideals in 2000000 cliques
  90. Thu Feb 11 22:08:10 2021 commencing in-memory singleton removal
  91. Thu Feb 11 22:08:19 2021 begin with 102567127 relations and 103309037 unique ideals
  92. Thu Feb 11 22:09:42 2021 reduce to 102029674 relations and 96434009 ideals in 9 passes
  93. Thu Feb 11 22:09:42 2021 max relations containing the same ideal: 150
  94. Thu Feb 11 22:10:33 2021 removing 8286659 relations and 6286659 ideals in 2000000 cliques
  95. Thu Feb 11 22:10:35 2021 commencing in-memory singleton removal
  96. Thu Feb 11 22:10:43 2021 begin with 93743015 relations and 96434009 unique ideals
  97. Thu Feb 11 22:11:51 2021 reduce to 93165353 relations and 89559788 ideals in 8 passes
  98. Thu Feb 11 22:11:51 2021 max relations containing the same ideal: 141
  99. Thu Feb 11 22:12:37 2021 removing 8293410 relations and 6293410 ideals in 2000000 cliques
  100. Thu Feb 11 22:12:40 2021 commencing in-memory singleton removal
  101. Thu Feb 11 22:12:47 2021 begin with 84871943 relations and 89559788 unique ideals
  102. Thu Feb 11 22:13:48 2021 reduce to 84242098 relations and 82624806 ideals in 8 passes
  103. Thu Feb 11 22:13:48 2021 max relations containing the same ideal: 132
  104. Thu Feb 11 22:14:30 2021 removing 3065957 relations and 2493317 ideals in 572640 cliques
  105. Thu Feb 11 22:14:32 2021 commencing in-memory singleton removal
  106. Thu Feb 11 22:14:38 2021 begin with 81176141 relations and 82624806 unique ideals
  107. Thu Feb 11 22:15:36 2021 reduce to 81090844 relations and 80045638 ideals in 8 passes
  108. Thu Feb 11 22:15:36 2021 max relations containing the same ideal: 132
  109. Thu Feb 11 22:16:28 2021 relations with 0 large ideals: 34782
  110. Thu Feb 11 22:16:28 2021 relations with 1 large ideals: 6495
  111. Thu Feb 11 22:16:28 2021 relations with 2 large ideals: 94250
  112. Thu Feb 11 22:16:28 2021 relations with 3 large ideals: 779445
  113. Thu Feb 11 22:16:28 2021 relations with 4 large ideals: 3601210
  114. Thu Feb 11 22:16:28 2021 relations with 5 large ideals: 10176790
  115. Thu Feb 11 22:16:28 2021 relations with 6 large ideals: 18325213
  116. Thu Feb 11 22:16:28 2021 relations with 7+ large ideals: 48072659
  117. Thu Feb 11 22:16:28 2021 commencing 2-way merge
  118. Thu Feb 11 22:17:26 2021 reduce to 52871535 relation sets and 51826329 unique ideals
  119. Thu Feb 11 22:17:26 2021 commencing full merge
  120. Thu Feb 11 22:42:02 2021 memory use: 6693.5 MB
  121. Thu Feb 11 22:42:09 2021 found 24218567 cycles, need 24162529
  122. Thu Feb 11 22:42:10 2021 weight of 24162529 cycles is about 2658249842 (110.02/cycle)
  123. Thu Feb 11 22:42:10 2021 distribution of cycle lengths:
  124. Thu Feb 11 22:42:10 2021 1 relations: 1825005
  125. Thu Feb 11 22:42:10 2021 2 relations: 1965375
  126. Thu Feb 11 22:42:10 2021 3 relations: 2009493
  127. Thu Feb 11 22:42:10 2021 4 relations: 1925922
  128. Thu Feb 11 22:42:10 2021 5 relations: 1854100
  129. Thu Feb 11 22:42:10 2021 6 relations: 1760323
  130. Thu Feb 11 22:42:10 2021 7 relations: 1650424
  131. Thu Feb 11 22:42:10 2021 8 relations: 1541966
  132. Thu Feb 11 22:42:10 2021 9 relations: 1415513
  133. Thu Feb 11 22:42:10 2021 10+ relations: 8214408
  134. Thu Feb 11 22:42:10 2021 heaviest cycle: 28 relations
  135. Thu Feb 11 22:42:16 2021 commencing cycle optimization
  136. Thu Feb 11 22:42:55 2021 start with 192476867 relations
  137. Thu Feb 11 22:52:08 2021 pruned 7501424 relations
  138. Thu Feb 11 22:52:08 2021 memory use: 5333.6 MB
  139. Thu Feb 11 22:52:08 2021 distribution of cycle lengths:
  140. Thu Feb 11 22:52:08 2021 1 relations: 1825005
  141. Thu Feb 11 22:52:08 2021 2 relations: 2011091
  142. Thu Feb 11 22:52:08 2021 3 relations: 2090453
  143. Thu Feb 11 22:52:08 2021 4 relations: 1996863
  144. Thu Feb 11 22:52:08 2021 5 relations: 1932932
  145. Thu Feb 11 22:52:08 2021 6 relations: 1825709
  146. Thu Feb 11 22:52:08 2021 7 relations: 1713875
  147. Thu Feb 11 22:52:08 2021 8 relations: 1589656
  148. Thu Feb 11 22:52:08 2021 9 relations: 1454180
  149. Thu Feb 11 22:52:08 2021 10+ relations: 7722765
  150. Thu Feb 11 22:52:08 2021 heaviest cycle: 28 relations
  151. Thu Feb 11 22:54:12 2021 RelProcTime: 13485
  152. Thu Feb 11 22:54:12 2021
  153. Thu Feb 11 22:54:12 2021 commencing linear algebra
  154. Thu Feb 11 22:54:17 2021 read 24162529 cycles
  155. Thu Feb 11 22:55:03 2021 cycles contain 80464580 unique relations
  156. Thu Feb 11 23:09:36 2021 read 80464580 relations
  157. Thu Feb 11 23:12:18 2021 using 20 quadratic characters above 4294917296
  158. Thu Feb 11 23:18:04 2021 building initial matrix
  159. Thu Feb 11 23:34:48 2021 memory use: 10405.2 MB
  160. Thu Feb 11 23:37:30 2021 read 24162529 cycles
  161. Thu Feb 11 23:37:38 2021 matrix is 24162352 x 24162529 (10574.9 MB) with weight 3040790269 (125.85/col)
  162. Thu Feb 11 23:37:38 2021 sparse part has weight 2506348896 (103.73/col)
  163. Thu Feb 11 23:42:57 2021 filtering completed in 2 passes
  164. Thu Feb 11 23:43:04 2021 matrix is 24161572 x 24161749 (10574.8 MB) with weight 3040765785 (125.85/col)
  165. Thu Feb 11 23:43:04 2021 sparse part has weight 2506341652 (103.73/col)
  166. Thu Feb 11 23:49:40 2021 matrix starts at (0, 0)
  167. Thu Feb 11 23:49:47 2021 matrix is 24161572 x 24161749 (10574.8 MB) with weight 3040765785 (125.85/col)
  168. Thu Feb 11 23:49:47 2021 sparse part has weight 2506341652 (103.73/col)
  169. Thu Feb 11 23:49:47 2021 saving the first 48 matrix rows for later
  170. Thu Feb 11 23:49:54 2021 matrix includes 64 packed rows
  171. Thu Feb 11 23:49:58 2021 matrix is 24161524 x 24161749 (10209.0 MB) with weight 2603871230 (107.77/col)
  172. Thu Feb 11 23:49:58 2021 sparse part has weight 2434605843 (100.76/col)
  173. Thu Feb 11 23:49:58 2021 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  174. Thu Feb 11 23:52:35 2021 commencing Lanczos iteration (8 threads)
  175. Thu Feb 11 23:52:35 2021 memory use: 8838.7 MB
  176. Thu Feb 11 23:56:49 2021 linear algebra at 0.0%, ETA 1053h36m
  177. Thu Feb 11 23:58:08 2021 checkpointing every 30000 dimensions
  178. Sat Mar 27 07:11:16 2021 lanczos halted after 382087 iterations (dim = 24161522)
  179. Sat Mar 27 07:12:29 2021 recovered 36 nontrivial dependencies
  180. Sat Mar 27 07:14:12 2021 BLanczosTime: 3741600
  181. Sat Mar 27 07:14:12 2021
  182. Sat Mar 27 07:14:12 2021 commencing square root phase
  183. Sat Mar 27 07:14:12 2021 handling dependencies 1 to 64
  184. Sat Mar 27 07:14:12 2021 reading relations for dependency 1
  185. Sat Mar 27 07:14:27 2021 read 12083521 cycles
  186. Sat Mar 27 07:14:50 2021 cycles contain 40238350 unique relations
  187. Sat Mar 27 07:26:29 2021 read 40238350 relations
  188. Sat Mar 27 07:30:20 2021 multiplying 40238350 relations
  189. Sat Mar 27 08:16:26 2021 multiply complete, coefficients have about 1148.52 million bits
  190. Sat Mar 27 08:16:39 2021 initial square root is modulo 141961
  191. Sat Mar 27 09:09:40 2021 found factor: 127503155810911665031964584300264217740392982131679716689627
  192. Sat Mar 27 09:09:40 2021 reading relations for dependency 2
  193. Sat Mar 27 09:09:45 2021 read 12083398 cycles
  194. Sat Mar 27 09:10:08 2021 cycles contain 40230766 unique relations
  195. Sat Mar 27 09:21:43 2021 read 40230766 relations
  196. Sat Mar 27 09:25:33 2021 multiplying 40230766 relations
  197. Sat Mar 27 10:11:42 2021 multiply complete, coefficients have about 1148.31 million bits
  198. Sat Mar 27 10:11:55 2021 initial square root is modulo 141679
  199. Sat Mar 27 11:04:57 2021 GCD is N, no factor found
  200. Sat Mar 27 11:04:57 2021 reading relations for dependency 3
  201. Sat Mar 27 11:05:19 2021 read 12078004 cycles
  202. Sat Mar 27 11:05:41 2021 cycles contain 40219526 unique relations
  203. Sat Mar 27 11:17:12 2021 read 40219526 relations
  204. Sat Mar 27 11:21:03 2021 multiplying 40219526 relations
  205. Sat Mar 27 12:07:11 2021 multiply complete, coefficients have about 1147.97 million bits
  206. Sat Mar 27 12:07:24 2021 initial square root is modulo 141181
  207. Sat Mar 27 13:00:53 2021 sqrtTime: 20801
  208. Sat Mar 27 13:00:53 2021 prp60 factor: 127503155810911665031964584300264217740392982131679716689627
  209. Sat Mar 27 13:00:53 2021 prp75 factor: 269406648276858389305106140981018352485046029864783499876080502083190137891
  210. Sat Mar 27 13:00:53 2021 prp85 factor: 2361753721340585636356192657746802343219126686808240106403592320090702888323193658233
  211. Sat Mar 27 13:00:53 2021 elapsed time 1048:51:27
  212.  
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