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Mar 31st, 2022
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  1. Wed Mar 30 08:53:47 2022
  2. Wed Mar 30 08:53:47 2022
  3. Wed Mar 30 08:53:47 2022 Msieve v. 1.53 (SVN 988M)
  4. Wed Mar 30 08:53:47 2022 random seeds: 136fe587 efd93afa
  5. Wed Mar 30 08:53:47 2022 factoring 257133802017684102404913924298663570428637714137258205938254195765302002467886091829185672553822619394102772442083223309932471179696779520121840021071580319174051716710001 (171 digits)
  6. Wed Mar 30 08:53:48 2022 searching for 15-digit factors
  7. Wed Mar 30 08:53:49 2022 commencing number field sieve (171-digit input)
  8. Wed Mar 30 08:53:49 2022 R0: -907908842560108139921461455630015
  9. Wed Mar 30 08:53:49 2022 R1: 4565921457378749781569821
  10. Wed Mar 30 08:53:49 2022 A0: -2723597503276675632381833978104952117092
  11. Wed Mar 30 08:53:49 2022 A1: 6484052343960809467464259548780613
  12. Wed Mar 30 08:53:49 2022 A2: 1962350650706271087440176674
  13. Wed Mar 30 08:53:49 2022 A3: -814649027662734871903
  14. Wed Mar 30 08:53:49 2022 A4: -177350787839372
  15. Wed Mar 30 08:53:49 2022 A5: 12583200
  16. Wed Mar 30 08:53:49 2022 skew 3301277.81, size 1.267e-16, alpha -7.672, combined = 3.338e-13 rroots = 5
  17. Wed Mar 30 08:53:49 2022
  18. Wed Mar 30 08:53:49 2022 commencing relation filtering
  19. Wed Mar 30 08:53:49 2022 setting target matrix density to 130.0
  20. Wed Mar 30 08:53:49 2022 estimated available RAM is 32768.0 MB
  21. Wed Mar 30 08:53:49 2022 commencing duplicate removal, pass 1
  22. Wed Mar 30 09:08:42 2022 error -11 reading relation 149755657
  23. Wed Mar 30 09:09:43 2022 error -15 reading relation 160086958
  24. Wed Mar 30 09:09:51 2022 error -15 reading relation 161454663
  25. Wed Mar 30 09:12:53 2022 found 8099307 hash collisions in 192070869 relations
  26. Wed Mar 30 09:13:14 2022 added 121538 free relations
  27. Wed Mar 30 09:13:14 2022 commencing duplicate removal, pass 2
  28. Wed Mar 30 09:13:56 2022 found 1 duplicates and 192192406 unique relations
  29. Wed Mar 30 09:13:56 2022 memory use: 522.4 MB
  30. Wed Mar 30 09:13:56 2022 reading ideals above 93126656
  31. Wed Mar 30 09:13:56 2022 commencing singleton removal, initial pass
  32. Wed Mar 30 09:28:00 2022 memory use: 3012.0 MB
  33. Wed Mar 30 09:28:00 2022 reading all ideals from disk
  34. Wed Mar 30 09:28:02 2022 memory use: 3645.9 MB
  35. Wed Mar 30 09:28:09 2022 commencing in-memory singleton removal
  36. Wed Mar 30 09:28:16 2022 begin with 192192406 relations and 163042518 unique ideals
  37. Wed Mar 30 09:29:38 2022 reduce to 125975743 relations and 90151526 ideals in 14 passes
  38. Wed Mar 30 09:29:38 2022 max relations containing the same ideal: 36
  39. Wed Mar 30 09:29:48 2022 reading ideals above 720000
  40. Wed Mar 30 09:29:48 2022 commencing singleton removal, initial pass
  41. Wed Mar 30 09:41:59 2022 memory use: 2756.0 MB
  42. Wed Mar 30 09:41:59 2022 reading all ideals from disk
  43. Wed Mar 30 09:42:02 2022 memory use: 4996.3 MB
  44. Wed Mar 30 09:42:12 2022 keeping 100280227 ideals with weight <= 200, target excess is 646640
  45. Wed Mar 30 09:42:23 2022 commencing in-memory singleton removal
  46. Wed Mar 30 09:42:31 2022 begin with 125975743 relations and 100280227 unique ideals
  47. Wed Mar 30 09:43:25 2022 reduce to 125975630 relations and 100280114 ideals in 6 passes
  48. Wed Mar 30 09:43:25 2022 max relations containing the same ideal: 200
  49. Wed Mar 30 09:44:10 2022 removing 10345095 relations and 8345095 ideals in 2000000 cliques
  50. Wed Mar 30 09:44:13 2022 commencing in-memory singleton removal
  51. Wed Mar 30 09:44:20 2022 begin with 115630535 relations and 100280114 unique ideals
  52. Wed Mar 30 09:45:27 2022 reduce to 114999125 relations and 91290885 ideals in 8 passes
  53. Wed Mar 30 09:45:27 2022 max relations containing the same ideal: 196
  54. Wed Mar 30 09:46:08 2022 removing 7916058 relations and 5916058 ideals in 2000000 cliques
  55. Wed Mar 30 09:46:11 2022 commencing in-memory singleton removal
  56. Wed Mar 30 09:46:17 2022 begin with 107083067 relations and 91290885 unique ideals
  57. Wed Mar 30 09:47:10 2022 reduce to 106652693 relations and 84936904 ideals in 7 passes
  58. Wed Mar 30 09:47:10 2022 max relations containing the same ideal: 188
  59. Wed Mar 30 09:47:49 2022 removing 7205748 relations and 5205748 ideals in 2000000 cliques
  60. Wed Mar 30 09:47:51 2022 commencing in-memory singleton removal
  61. Wed Mar 30 09:47:58 2022 begin with 99446945 relations and 84936904 unique ideals
  62. Wed Mar 30 09:48:47 2022 reduce to 99064014 relations and 79341558 ideals in 7 passes
  63. Wed Mar 30 09:48:47 2022 max relations containing the same ideal: 181
  64. Wed Mar 30 09:49:23 2022 removing 6858451 relations and 4858451 ideals in 2000000 cliques
  65. Wed Mar 30 09:49:25 2022 commencing in-memory singleton removal
  66. Wed Mar 30 09:49:31 2022 begin with 92205563 relations and 79341558 unique ideals
  67. Wed Mar 30 09:50:35 2022 reduce to 91840622 relations and 74111405 ideals in 10 passes
  68. Wed Mar 30 09:50:35 2022 max relations containing the same ideal: 174
  69. Wed Mar 30 09:51:09 2022 removing 6644495 relations and 4644495 ideals in 2000000 cliques
  70. Wed Mar 30 09:51:11 2022 commencing in-memory singleton removal
  71. Wed Mar 30 09:51:17 2022 begin with 85196127 relations and 74111405 unique ideals
  72. Wed Mar 30 09:51:58 2022 reduce to 84832699 relations and 69096325 ideals in 7 passes
  73. Wed Mar 30 09:51:58 2022 max relations containing the same ideal: 164
  74. Wed Mar 30 09:52:29 2022 removing 6513145 relations and 4513145 ideals in 2000000 cliques
  75. Wed Mar 30 09:52:32 2022 commencing in-memory singleton removal
  76. Wed Mar 30 09:52:36 2022 begin with 78319554 relations and 69096325 unique ideals
  77. Wed Mar 30 09:53:15 2022 reduce to 77947556 relations and 64203300 ideals in 7 passes
  78. Wed Mar 30 09:53:15 2022 max relations containing the same ideal: 156
  79. Wed Mar 30 09:53:44 2022 removing 6432046 relations and 4432046 ideals in 2000000 cliques
  80. Wed Mar 30 09:53:46 2022 commencing in-memory singleton removal
  81. Wed Mar 30 09:53:51 2022 begin with 71515510 relations and 64203300 unique ideals
  82. Wed Mar 30 09:54:30 2022 reduce to 71123814 relations and 59370850 ideals in 8 passes
  83. Wed Mar 30 09:54:30 2022 max relations containing the same ideal: 149
  84. Wed Mar 30 09:54:56 2022 removing 6395808 relations and 4395808 ideals in 2000000 cliques
  85. Wed Mar 30 09:54:58 2022 commencing in-memory singleton removal
  86. Wed Mar 30 09:55:02 2022 begin with 64728006 relations and 59370850 unique ideals
  87. Wed Mar 30 09:55:33 2022 reduce to 64304513 relations and 54541135 ideals in 7 passes
  88. Wed Mar 30 09:55:33 2022 max relations containing the same ideal: 139
  89. Wed Mar 30 09:55:57 2022 removing 6394501 relations and 4394501 ideals in 2000000 cliques
  90. Wed Mar 30 09:55:59 2022 commencing in-memory singleton removal
  91. Wed Mar 30 09:56:02 2022 begin with 57910012 relations and 54541135 unique ideals
  92. Wed Mar 30 09:56:34 2022 reduce to 57440369 relations and 49664335 ideals in 8 passes
  93. Wed Mar 30 09:56:34 2022 max relations containing the same ideal: 126
  94. Wed Mar 30 09:56:55 2022 removing 6439019 relations and 4439019 ideals in 2000000 cliques
  95. Wed Mar 30 09:56:57 2022 commencing in-memory singleton removal
  96. Wed Mar 30 09:57:00 2022 begin with 51001350 relations and 49664335 unique ideals
  97. Wed Mar 30 09:57:24 2022 reduce to 50464722 relations and 44672697 ideals in 7 passes
  98. Wed Mar 30 09:57:24 2022 max relations containing the same ideal: 118
  99. Wed Mar 30 09:57:43 2022 removing 6522949 relations and 4522949 ideals in 2000000 cliques
  100. Wed Mar 30 09:57:45 2022 commencing in-memory singleton removal
  101. Wed Mar 30 09:57:48 2022 begin with 43941773 relations and 44672697 unique ideals
  102. Wed Mar 30 09:58:11 2022 reduce to 43299999 relations and 39486388 ideals in 8 passes
  103. Wed Mar 30 09:58:11 2022 max relations containing the same ideal: 104
  104. Wed Mar 30 09:58:28 2022 removing 6664946 relations and 4664946 ideals in 2000000 cliques
  105. Wed Mar 30 09:58:30 2022 commencing in-memory singleton removal
  106. Wed Mar 30 09:58:32 2022 begin with 36635053 relations and 39486388 unique ideals
  107. Wed Mar 30 09:58:50 2022 reduce to 35824054 relations and 33978279 ideals in 8 passes
  108. Wed Mar 30 09:58:50 2022 max relations containing the same ideal: 94
  109. Wed Mar 30 09:59:05 2022 removing 4305954 relations and 3210282 ideals in 1095672 cliques
  110. Wed Mar 30 09:59:06 2022 commencing in-memory singleton removal
  111. Wed Mar 30 09:59:08 2022 begin with 31518100 relations and 33978279 unique ideals
  112. Wed Mar 30 09:59:24 2022 reduce to 31102402 relations and 30341042 ideals in 8 passes
  113. Wed Mar 30 09:59:24 2022 max relations containing the same ideal: 84
  114. Wed Mar 30 09:59:36 2022 removing 92570 relations and 81313 ideals in 11257 cliques
  115. Wed Mar 30 09:59:37 2022 commencing in-memory singleton removal
  116. Wed Mar 30 09:59:39 2022 begin with 31009832 relations and 30341042 unique ideals
  117. Wed Mar 30 09:59:47 2022 reduce to 31009646 relations and 30259543 ideals in 4 passes
  118. Wed Mar 30 09:59:47 2022 max relations containing the same ideal: 84
  119. Wed Mar 30 09:59:51 2022 relations with 0 large ideals: 2178
  120. Wed Mar 30 09:59:51 2022 relations with 1 large ideals: 6274
  121. Wed Mar 30 09:59:51 2022 relations with 2 large ideals: 97992
  122. Wed Mar 30 09:59:51 2022 relations with 3 large ideals: 697673
  123. Wed Mar 30 09:59:51 2022 relations with 4 large ideals: 2662195
  124. Wed Mar 30 09:59:51 2022 relations with 5 large ideals: 6010604
  125. Wed Mar 30 09:59:51 2022 relations with 6 large ideals: 8457462
  126. Wed Mar 30 09:59:51 2022 relations with 7+ large ideals: 13075268
  127. Wed Mar 30 09:59:51 2022 commencing 2-way merge
  128. Wed Mar 30 10:00:08 2022 reduce to 19451202 relation sets and 18701099 unique ideals
  129. Wed Mar 30 10:00:08 2022 commencing full merge
  130. Wed Mar 30 10:06:44 2022 memory use: 2432.2 MB
  131. Wed Mar 30 10:06:48 2022 found 8457341 cycles, need 8449299
  132. Wed Mar 30 10:06:48 2022 weight of 8449299 cycles is about 1098462694 (130.01/cycle)
  133. Wed Mar 30 10:06:48 2022 distribution of cycle lengths:
  134. Wed Mar 30 10:06:48 2022 1 relations: 525357
  135. Wed Mar 30 10:06:48 2022 2 relations: 527357
  136. Wed Mar 30 10:06:48 2022 3 relations: 551938
  137. Wed Mar 30 10:06:48 2022 4 relations: 555676
  138. Wed Mar 30 10:06:48 2022 5 relations: 565077
  139. Wed Mar 30 10:06:48 2022 6 relations: 566420
  140. Wed Mar 30 10:06:48 2022 7 relations: 563860
  141. Wed Mar 30 10:06:48 2022 8 relations: 546165
  142. Wed Mar 30 10:06:48 2022 9 relations: 517085
  143. Wed Mar 30 10:06:48 2022 10+ relations: 3530364
  144. Wed Mar 30 10:06:48 2022 heaviest cycle: 28 relations
  145. Wed Mar 30 10:06:52 2022 commencing cycle optimization
  146. Wed Mar 30 10:07:10 2022 start with 76917871 relations
  147. Wed Mar 30 10:10:20 2022 pruned 3666310 relations
  148. Wed Mar 30 10:10:20 2022 memory use: 2054.5 MB
  149. Wed Mar 30 10:10:20 2022 distribution of cycle lengths:
  150. Wed Mar 30 10:10:20 2022 1 relations: 525357
  151. Wed Mar 30 10:10:20 2022 2 relations: 541145
  152. Wed Mar 30 10:10:20 2022 3 relations: 575080
  153. Wed Mar 30 10:10:20 2022 4 relations: 578442
  154. Wed Mar 30 10:10:20 2022 5 relations: 593608
  155. Wed Mar 30 10:10:20 2022 6 relations: 594455
  156. Wed Mar 30 10:10:20 2022 7 relations: 595487
  157. Wed Mar 30 10:10:20 2022 8 relations: 573972
  158. Wed Mar 30 10:10:20 2022 9 relations: 544390
  159. Wed Mar 30 10:10:20 2022 10+ relations: 3327363
  160. Wed Mar 30 10:10:20 2022 heaviest cycle: 28 relations
  161. Wed Mar 30 10:10:41 2022 RelProcTime: 4612
  162. Wed Mar 30 10:10:41 2022
  163. Wed Mar 30 10:10:41 2022 commencing linear algebra
  164. Wed Mar 30 10:10:42 2022 read 8449299 cycles
  165. Wed Mar 30 10:11:00 2022 cycles contain 30551038 unique relations
  166. Wed Mar 30 10:13:00 2022 read 30551038 relations
  167. Wed Mar 30 10:13:59 2022 using 20 quadratic characters above 4294917295
  168. Wed Mar 30 10:15:42 2022 building initial matrix
  169. Wed Mar 30 10:20:53 2022 memory use: 4205.8 MB
  170. Wed Mar 30 10:21:02 2022 read 8449299 cycles
  171. Wed Mar 30 10:21:03 2022 matrix is 8449122 x 8449299 (4220.1 MB) with weight 1281559584 (151.68/col)
  172. Wed Mar 30 10:21:03 2022 sparse part has weight 1013341067 (119.93/col)
  173. Wed Mar 30 10:22:32 2022 filtering completed in 2 passes
  174. Wed Mar 30 10:22:33 2022 matrix is 8449025 x 8449202 (4220.1 MB) with weight 1281555504 (151.68/col)
  175. Wed Mar 30 10:22:33 2022 sparse part has weight 1013340257 (119.93/col)
  176. Wed Mar 30 10:23:01 2022 matrix starts at (0, 0)
  177. Wed Mar 30 10:23:02 2022 matrix is 8449025 x 8449202 (4220.1 MB) with weight 1281555504 (151.68/col)
  178. Wed Mar 30 10:23:02 2022 sparse part has weight 1013340257 (119.93/col)
  179. Wed Mar 30 10:23:02 2022 saving the first 48 matrix rows for later
  180. Wed Mar 30 10:23:03 2022 matrix includes 64 packed rows
  181. Wed Mar 30 10:23:04 2022 matrix is 8448977 x 8449202 (4123.2 MB) with weight 1102813912 (130.52/col)
  182. Wed Mar 30 10:23:04 2022 sparse part has weight 996392873 (117.93/col)
  183. Wed Mar 30 10:23:04 2022 using block size 8192 and superblock size 1351680 for processor cache size 14080 kB
  184. Wed Mar 30 10:23:51 2022 commencing Lanczos iteration (10 threads)
  185. Wed Mar 30 10:23:51 2022 memory use: 3453.1 MB
  186. Wed Mar 30 10:24:06 2022 linear algebra at 0.0%, ETA 21h37m
  187. Wed Mar 30 10:24:10 2022 checkpointing every 410000 dimensions
  188. Thu Mar 31 08:16:06 2022 lanczos halted after 133617 iterations (dim = 8448977)
  189. Thu Mar 31 08:16:13 2022 recovered 30 nontrivial dependencies
  190. Thu Mar 31 08:16:14 2022 BLanczosTime: 79533
  191. Thu Mar 31 08:16:14 2022
  192. Thu Mar 31 08:16:14 2022 commencing square root phase
  193. Thu Mar 31 08:16:14 2022 handling dependencies 1 to 64
  194. Thu Mar 31 08:16:14 2022 reading relations for dependency 1
  195. Thu Mar 31 08:16:16 2022 read 4223845 cycles
  196. Thu Mar 31 08:16:24 2022 cycles contain 15274446 unique relations
  197. Thu Mar 31 08:17:31 2022 read 15274446 relations
  198. Thu Mar 31 08:18:35 2022 multiplying 15274446 relations
  199. Thu Mar 31 08:32:13 2022 multiply complete, coefficients have about 939.22 million bits
  200. Thu Mar 31 08:32:18 2022 initial square root is modulo 266819989
  201. Thu Mar 31 08:47:55 2022 GCD is 1, no factor found
  202. Thu Mar 31 08:47:55 2022 reading relations for dependency 2
  203. Thu Mar 31 08:47:57 2022 read 4223476 cycles
  204. Thu Mar 31 08:48:05 2022 cycles contain 15281420 unique relations
  205. Thu Mar 31 08:49:13 2022 read 15281420 relations
  206. Thu Mar 31 08:50:17 2022 multiplying 15281420 relations
  207. Thu Mar 31 09:04:41 2022 multiply complete, coefficients have about 939.66 million bits
  208. Thu Mar 31 09:04:45 2022 initial square root is modulo 269249839
  209. Thu Mar 31 09:21:48 2022 sqrtTime: 3934
  210. Thu Mar 31 09:21:48 2022 p73 factor: 6119581385551216735796820050477663665570702236812349830342555435567449951
  211. Thu Mar 31 09:21:48 2022 p98 factor: 42018201216311296215632376566702534339687328043039301448986111641185847423156315128955117583637551
  212. Thu Mar 31 09:21:48 2022 elapsed time 24:28:01
  213.  
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