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114__413_13m1

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Jun 26th, 2021
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  1. Thu Jun 24 20:30:20 2021
  2. Thu Jun 24 20:30:20 2021
  3. Thu Jun 24 20:30:20 2021 Msieve v. 1.54 (SVN 1025)
  4. Thu Jun 24 20:30:20 2021 random seeds: 915f1f1f 1c501639
  5. Thu Jun 24 20:30:20 2021 factoring 2815783316947720454548229406584616303330628332284475462037275080298485518013839273119271059245292069179400222116810139845465912676074990748198422775014879314049776343110288275286247023322165437158719067772786836362129 (217 digits)
  6. Thu Jun 24 20:30:21 2021 searching for 15-digit factors
  7. Thu Jun 24 20:30:21 2021 commencing number field sieve (217-digit input)
  8. Thu Jun 24 20:30:21 2021 R0: 132098827173494728409856173214800792570
  9. Thu Jun 24 20:30:21 2021 R1: -11493425389042847413
  10. Thu Jun 24 20:30:21 2021 A0: -1
  11. Thu Jun 24 20:30:21 2021 A1: 3
  12. Thu Jun 24 20:30:21 2021 A2: 6
  13. Thu Jun 24 20:30:21 2021 A3: -4
  14. Thu Jun 24 20:30:21 2021 A4: -5
  15. Thu Jun 24 20:30:21 2021 A5: 1
  16. Thu Jun 24 20:30:21 2021 A6: 1
  17. Thu Jun 24 20:30:21 2021 skew 1.00, size 2.891e-11, alpha 3.126, combined = 1.351e-12 rroots = 6
  18. Thu Jun 24 20:30:21 2021
  19. Thu Jun 24 20:30:21 2021 commencing relation filtering
  20. Thu Jun 24 20:30:21 2021 setting target matrix density to 124.0
  21. Thu Jun 24 20:30:21 2021 estimated available RAM is 15984.6 MB
  22. Thu Jun 24 20:30:21 2021 commencing duplicate removal, pass 1
  23. Thu Jun 24 20:43:40 2021 error -9 reading relation 114311809
  24. Thu Jun 24 20:43:40 2021 skipped 8 relations with b > 2^32
  25. Thu Jun 24 20:43:40 2021 skipped 1 relations with composite factors
  26. Thu Jun 24 20:43:40 2021 found 5720642 hash collisions in 114347802 relations
  27. Thu Jun 24 20:43:40 2021 commencing duplicate removal, pass 2
  28. Thu Jun 24 20:44:02 2021 found 53568 duplicates and 114294234 unique relations
  29. Thu Jun 24 20:44:02 2021 memory use: 378.4 MB
  30. Thu Jun 24 20:44:02 2021 reading ideals above 85917696
  31. Thu Jun 24 20:44:02 2021 commencing singleton removal, initial pass
  32. Thu Jun 24 20:53:15 2021 memory use: 2756.0 MB
  33. Thu Jun 24 20:53:15 2021 reading all ideals from disk
  34. Thu Jun 24 20:53:20 2021 memory use: 1911.8 MB
  35. Thu Jun 24 20:53:23 2021 commencing in-memory singleton removal
  36. Thu Jun 24 20:53:25 2021 begin with 114294234 relations and 84189009 unique ideals
  37. Thu Jun 24 20:53:58 2021 reduce to 84320015 relations and 51800330 ideals in 12 passes
  38. Thu Jun 24 20:53:58 2021 max relations containing the same ideal: 44
  39. Thu Jun 24 20:54:01 2021 reading ideals above 720000
  40. Thu Jun 24 20:54:01 2021 commencing singleton removal, initial pass
  41. Thu Jun 24 21:02:21 2021 memory use: 1506.0 MB
  42. Thu Jun 24 21:02:21 2021 reading all ideals from disk
  43. Thu Jun 24 21:02:29 2021 memory use: 3161.9 MB
  44. Thu Jun 24 21:02:35 2021 keeping 61353453 ideals with weight <= 200, target excess is 434994
  45. Thu Jun 24 21:02:42 2021 commencing in-memory singleton removal
  46. Thu Jun 24 21:02:46 2021 begin with 84320015 relations and 61353453 unique ideals
  47. Thu Jun 24 21:03:04 2021 reduce to 84319851 relations and 61353289 ideals in 4 passes
  48. Thu Jun 24 21:03:04 2021 max relations containing the same ideal: 200
  49. Thu Jun 24 21:03:26 2021 removing 7631743 relations and 5631743 ideals in 2000000 cliques
  50. Thu Jun 24 21:03:28 2021 commencing in-memory singleton removal
  51. Thu Jun 24 21:03:32 2021 begin with 76688108 relations and 61353289 unique ideals
  52. Thu Jun 24 21:04:04 2021 reduce to 76114997 relations and 55131896 ideals in 8 passes
  53. Thu Jun 24 21:04:04 2021 max relations containing the same ideal: 198
  54. Thu Jun 24 21:04:24 2021 removing 6218569 relations and 4218569 ideals in 2000000 cliques
  55. Thu Jun 24 21:04:26 2021 commencing in-memory singleton removal
  56. Thu Jun 24 21:04:30 2021 begin with 69896428 relations and 55131896 unique ideals
  57. Thu Jun 24 21:04:56 2021 reduce to 69500748 relations and 50507037 ideals in 7 passes
  58. Thu Jun 24 21:04:56 2021 max relations containing the same ideal: 187
  59. Thu Jun 24 21:05:14 2021 removing 5796467 relations and 3796467 ideals in 2000000 cliques
  60. Thu Jun 24 21:05:16 2021 commencing in-memory singleton removal
  61. Thu Jun 24 21:05:19 2021 begin with 63704281 relations and 50507037 unique ideals
  62. Thu Jun 24 21:05:42 2021 reduce to 63355783 relations and 46352563 ideals in 7 passes
  63. Thu Jun 24 21:05:42 2021 max relations containing the same ideal: 176
  64. Thu Jun 24 21:05:59 2021 removing 5576087 relations and 3576087 ideals in 2000000 cliques
  65. Thu Jun 24 21:06:01 2021 commencing in-memory singleton removal
  66. Thu Jun 24 21:06:04 2021 begin with 57779696 relations and 46352563 unique ideals
  67. Thu Jun 24 21:06:22 2021 reduce to 57449193 relations and 42436330 ideals in 6 passes
  68. Thu Jun 24 21:06:22 2021 max relations containing the same ideal: 167
  69. Thu Jun 24 21:06:38 2021 removing 5442008 relations and 3442008 ideals in 2000000 cliques
  70. Thu Jun 24 21:06:39 2021 commencing in-memory singleton removal
  71. Thu Jun 24 21:06:42 2021 begin with 52007185 relations and 42436330 unique ideals
  72. Thu Jun 24 21:07:01 2021 reduce to 51678260 relations and 38655328 ideals in 7 passes
  73. Thu Jun 24 21:07:01 2021 max relations containing the same ideal: 156
  74. Thu Jun 24 21:07:15 2021 removing 5354306 relations and 3354306 ideals in 2000000 cliques
  75. Thu Jun 24 21:07:17 2021 commencing in-memory singleton removal
  76. Thu Jun 24 21:07:19 2021 begin with 46323954 relations and 38655328 unique ideals
  77. Thu Jun 24 21:07:34 2021 reduce to 45987535 relations and 34953404 ideals in 6 passes
  78. Thu Jun 24 21:07:34 2021 max relations containing the same ideal: 142
  79. Thu Jun 24 21:07:46 2021 removing 5287026 relations and 3287026 ideals in 2000000 cliques
  80. Thu Jun 24 21:07:48 2021 commencing in-memory singleton removal
  81. Thu Jun 24 21:07:50 2021 begin with 40700509 relations and 34953404 unique ideals
  82. Thu Jun 24 21:08:03 2021 reduce to 40347106 relations and 31299681 ideals in 6 passes
  83. Thu Jun 24 21:08:03 2021 max relations containing the same ideal: 129
  84. Thu Jun 24 21:08:14 2021 removing 5243361 relations and 3243361 ideals in 2000000 cliques
  85. Thu Jun 24 21:08:15 2021 commencing in-memory singleton removal
  86. Thu Jun 24 21:08:17 2021 begin with 35103745 relations and 31299681 unique ideals
  87. Thu Jun 24 21:08:27 2021 reduce to 34723795 relations and 27660573 ideals in 6 passes
  88. Thu Jun 24 21:08:27 2021 max relations containing the same ideal: 120
  89. Thu Jun 24 21:08:37 2021 removing 5206171 relations and 3206171 ideals in 2000000 cliques
  90. Thu Jun 24 21:08:38 2021 commencing in-memory singleton removal
  91. Thu Jun 24 21:08:40 2021 begin with 29517624 relations and 27660573 unique ideals
  92. Thu Jun 24 21:08:49 2021 reduce to 29098495 relations and 24015316 ideals in 6 passes
  93. Thu Jun 24 21:08:49 2021 max relations containing the same ideal: 105
  94. Thu Jun 24 21:08:57 2021 removing 5173627 relations and 3173627 ideals in 2000000 cliques
  95. Thu Jun 24 21:08:58 2021 commencing in-memory singleton removal
  96. Thu Jun 24 21:08:59 2021 begin with 23924868 relations and 24015316 unique ideals
  97. Thu Jun 24 21:09:08 2021 reduce to 23445379 relations and 20335518 ideals in 7 passes
  98. Thu Jun 24 21:09:08 2021 max relations containing the same ideal: 89
  99. Thu Jun 24 21:09:14 2021 removing 5137958 relations and 3137958 ideals in 2000000 cliques
  100. Thu Jun 24 21:09:15 2021 commencing in-memory singleton removal
  101. Thu Jun 24 21:09:16 2021 begin with 18307421 relations and 20335518 unique ideals
  102. Thu Jun 24 21:09:23 2021 reduce to 17716402 relations and 16565546 ideals in 8 passes
  103. Thu Jun 24 21:09:23 2021 max relations containing the same ideal: 72
  104. Thu Jun 24 21:09:28 2021 removing 1982635 relations and 1336373 ideals in 646262 cliques
  105. Thu Jun 24 21:09:29 2021 commencing in-memory singleton removal
  106. Thu Jun 24 21:09:30 2021 begin with 15733767 relations and 16565546 unique ideals
  107. Thu Jun 24 21:09:36 2021 reduce to 15536397 relations and 15024797 ideals in 8 passes
  108. Thu Jun 24 21:09:36 2021 max relations containing the same ideal: 68
  109. Thu Jun 24 21:09:42 2021 relations with 0 large ideals: 32644
  110. Thu Jun 24 21:09:42 2021 relations with 1 large ideals: 9368
  111. Thu Jun 24 21:09:42 2021 relations with 2 large ideals: 90379
  112. Thu Jun 24 21:09:42 2021 relations with 3 large ideals: 547656
  113. Thu Jun 24 21:09:42 2021 relations with 4 large ideals: 1783650
  114. Thu Jun 24 21:09:42 2021 relations with 5 large ideals: 3430617
  115. Thu Jun 24 21:09:42 2021 relations with 6 large ideals: 4085964
  116. Thu Jun 24 21:09:42 2021 relations with 7+ large ideals: 5556119
  117. Thu Jun 24 21:09:42 2021 commencing 2-way merge
  118. Thu Jun 24 21:09:48 2021 reduce to 10956503 relation sets and 10444903 unique ideals
  119. Thu Jun 24 21:09:48 2021 commencing full merge
  120. Thu Jun 24 21:13:02 2021 memory use: 1430.5 MB
  121. Thu Jun 24 21:13:03 2021 found 4828189 cycles, need 4825103
  122. Thu Jun 24 21:13:04 2021 weight of 4825103 cycles is about 598396204 (124.02/cycle)
  123. Thu Jun 24 21:13:04 2021 distribution of cycle lengths:
  124. Thu Jun 24 21:13:04 2021 1 relations: 130409
  125. Thu Jun 24 21:13:04 2021 2 relations: 214726
  126. Thu Jun 24 21:13:04 2021 3 relations: 286023
  127. Thu Jun 24 21:13:04 2021 4 relations: 319621
  128. Thu Jun 24 21:13:04 2021 5 relations: 345625
  129. Thu Jun 24 21:13:04 2021 6 relations: 354469
  130. Thu Jun 24 21:13:04 2021 7 relations: 354399
  131. Thu Jun 24 21:13:04 2021 8 relations: 344202
  132. Thu Jun 24 21:13:04 2021 9 relations: 326486
  133. Thu Jun 24 21:13:04 2021 10+ relations: 2149143
  134. Thu Jun 24 21:13:04 2021 heaviest cycle: 28 relations
  135. Thu Jun 24 21:13:05 2021 commencing cycle optimization
  136. Thu Jun 24 21:13:13 2021 start with 46509371 relations
  137. Thu Jun 24 21:14:37 2021 pruned 2702427 relations
  138. Thu Jun 24 21:14:37 2021 memory use: 1124.4 MB
  139. Thu Jun 24 21:14:37 2021 distribution of cycle lengths:
  140. Thu Jun 24 21:14:37 2021 1 relations: 130409
  141. Thu Jun 24 21:14:37 2021 2 relations: 220309
  142. Thu Jun 24 21:14:37 2021 3 relations: 299018
  143. Thu Jun 24 21:14:37 2021 4 relations: 335592
  144. Thu Jun 24 21:14:37 2021 5 relations: 367807
  145. Thu Jun 24 21:14:37 2021 6 relations: 377746
  146. Thu Jun 24 21:14:37 2021 7 relations: 380142
  147. Thu Jun 24 21:14:37 2021 8 relations: 367230
  148. Thu Jun 24 21:14:37 2021 9 relations: 348035
  149. Thu Jun 24 21:14:37 2021 10+ relations: 1998815
  150. Thu Jun 24 21:14:37 2021 heaviest cycle: 28 relations
  151. Thu Jun 24 21:14:44 2021 RelProcTime: 2663
  152. Thu Jun 24 21:14:44 2021 elapsed time 00:44:24
  153. Fri Jun 25 06:37:09 2021
  154. Fri Jun 25 06:37:09 2021
  155. Fri Jun 25 06:37:09 2021 Msieve v. 1.54 (SVN 1025)
  156. Fri Jun 25 06:37:09 2021 random seeds: 160b2459 ec63663b
  157. Fri Jun 25 06:37:09 2021 factoring 2815783316947720454548229406584616303330628332284475462037275080298485518013839273119271059245292069179400222116810139845465912676074990748198422775014879314049776343110288275286247023322165437158719067772786836362129 (217 digits)
  158. Fri Jun 25 06:37:10 2021 searching for 15-digit factors
  159. Fri Jun 25 06:37:11 2021 commencing number field sieve (217-digit input)
  160. Fri Jun 25 06:37:11 2021 R0: 132098827173494728409856173214800792570
  161. Fri Jun 25 06:37:11 2021 R1: -11493425389042847413
  162. Fri Jun 25 06:37:11 2021 A0: -1
  163. Fri Jun 25 06:37:11 2021 A1: 3
  164. Fri Jun 25 06:37:11 2021 A2: 6
  165. Fri Jun 25 06:37:11 2021 A3: -4
  166. Fri Jun 25 06:37:11 2021 A4: -5
  167. Fri Jun 25 06:37:11 2021 A5: 1
  168. Fri Jun 25 06:37:11 2021 A6: 1
  169. Fri Jun 25 06:37:11 2021 skew 1.00, size 2.891e-11, alpha 3.126, combined = 1.351e-12 rroots = 6
  170. Fri Jun 25 06:37:11 2021
  171. Fri Jun 25 06:37:11 2021 commencing linear algebra
  172. Fri Jun 25 06:37:11 2021 read 4825103 cycles
  173. Fri Jun 25 06:37:18 2021 cycles contain 15280801 unique relations
  174. Fri Jun 25 06:38:31 2021 read 15280801 relations
  175. Fri Jun 25 06:38:47 2021 using 20 quadratic characters above 4294917295
  176. Fri Jun 25 06:39:40 2021 building initial matrix
  177. Fri Jun 25 06:42:23 2021 memory use: 1867.8 MB
  178. Fri Jun 25 06:42:26 2021 read 4825103 cycles
  179. Fri Jun 25 06:42:27 2021 matrix is 4824926 x 4825103 (2280.9 MB) with weight 645308367 (133.74/col)
  180. Fri Jun 25 06:42:27 2021 sparse part has weight 549677110 (113.92/col)
  181. Fri Jun 25 06:43:13 2021 filtering completed in 2 passes
  182. Fri Jun 25 06:43:13 2021 matrix is 4824907 x 4825084 (2280.9 MB) with weight 645307847 (133.74/col)
  183. Fri Jun 25 06:43:13 2021 sparse part has weight 549676976 (113.92/col)
  184. Fri Jun 25 06:43:22 2021 matrix starts at (0, 0)
  185. Fri Jun 25 06:43:22 2021 matrix is 4824907 x 4825084 (2280.9 MB) with weight 645307847 (133.74/col)
  186. Fri Jun 25 06:43:22 2021 sparse part has weight 549676976 (113.92/col)
  187. Fri Jun 25 06:43:22 2021 saving the first 48 matrix rows for later
  188. Fri Jun 25 06:43:23 2021 matrix includes 64 packed rows
  189. Fri Jun 25 06:43:24 2021 matrix is 4824859 x 4825084 (2188.5 MB) with weight 559799251 (116.02/col)
  190. Fri Jun 25 06:43:24 2021 sparse part has weight 525462305 (108.90/col)
  191. Fri Jun 25 06:43:24 2021 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  192. Fri Jun 25 06:43:39 2021 commencing Lanczos iteration (3 threads)
  193. Fri Jun 25 06:43:39 2021 memory use: 2076.9 MB
  194. Fri Jun 25 06:43:57 2021 linear algebra at 0.0%, ETA 15h 2m
  195. Fri Jun 25 06:44:04 2021 checkpointing every 310000 dimensions
  196. Fri Jun 25 21:40:37 2021 lanczos halted after 76301 iterations (dim = 4824855)
  197. Fri Jun 25 21:40:44 2021 recovered 31 nontrivial dependencies
  198. Fri Jun 25 21:40:44 2021 BLanczosTime: 54213
  199. Fri Jun 25 21:40:44 2021
  200. Fri Jun 25 21:40:44 2021 commencing square root phase
  201. Fri Jun 25 21:40:44 2021 reading relations for dependency 1
  202. Fri Jun 25 21:40:45 2021 read 2412489 cycles
  203. Fri Jun 25 21:40:48 2021 cycles contain 7639934 unique relations
  204. Fri Jun 25 21:41:30 2021 read 7639934 relations
  205. Fri Jun 25 21:41:53 2021 multiplying 7639934 relations
  206. Fri Jun 25 21:45:24 2021 multiply complete, coefficients have about 186.21 million bits
  207. Fri Jun 25 21:45:25 2021 initial square root is modulo 4814093
  208. Fri Jun 25 21:49:22 2021 sqrtTime: 518
  209. Fri Jun 25 21:49:22 2021 p53 factor: 12058895897392004711994381166538226285953099322407101
  210. Fri Jun 25 21:49:22 2021 p165 factor: 233502581074333188806053160542564123534695589165798651153306374933508696182041884888258022607104071405686332085745429389830959831032785675070668525741951448899536229
  211. Fri Jun 25 21:49:22 2021 elapsed time 15:12:13
  212.  
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