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Feb 7th, 2020
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  1. Wed Feb 05 17:46:45 2020
  2. Wed Feb 05 17:46:45 2020
  3. Wed Feb 05 17:46:45 2020 Msieve v. 1.52 (SVN unknown)
  4. Wed Feb 05 17:46:45 2020 random seeds: 5c909dc0 188f62db
  5. Wed Feb 05 17:46:45 2020 factoring 48653728132435220143479013661262211550708045121414963190810040358164887981704196023582246317904101390890975449578679311068859797853065548011056780558783005666319388349189299928743173671972774650191242505911854175842181913 (221 digits)
  6. Wed Feb 05 17:46:46 2020 no P-1/P+1/ECM available, skipping
  7. Wed Feb 05 17:46:46 2020 commencing number field sieve (221-digit input)
  8. Wed Feb 05 17:46:46 2020 R0: 22452257707354557240087211123792674816
  9. Wed Feb 05 17:46:46 2020 R1: -1
  10. Wed Feb 05 17:46:46 2020 A0: -1
  11. Wed Feb 05 17:46:46 2020 A1: 0
  12. Wed Feb 05 17:46:46 2020 A2: 0
  13. Wed Feb 05 17:46:46 2020 A3: 0
  14. Wed Feb 05 17:46:46 2020 A4: 0
  15. Wed Feb 05 17:46:46 2020 A5: 0
  16. Wed Feb 05 17:46:46 2020 A6: 24
  17. Wed Feb 05 17:46:46 2020 skew 0.59, size 3.761e-011, alpha 1.335, combined = 1.660e-012 rroots = 2
  18. Wed Feb 05 17:46:46 2020
  19. Wed Feb 05 17:46:46 2020 commencing relation filtering
  20. Wed Feb 05 17:46:46 2020 setting target matrix density to 108.0
  21. Wed Feb 05 17:46:46 2020 estimated available RAM is 16316.6 MB
  22. Wed Feb 05 17:46:46 2020 commencing duplicate removal, pass 1
  23. Wed Feb 05 17:48:26 2020 error -1 reading relation 10270213
  24. Wed Feb 05 17:49:27 2020 error -15 reading relation 17089812
  25. Wed Feb 05 17:49:29 2020 error -9 reading relation 17265370
  26. Wed Feb 05 17:49:30 2020 error -15 reading relation 17397311
  27. Wed Feb 05 17:49:32 2020 error -9 reading relation 17588376
  28. Wed Feb 05 18:04:27 2020 error -9 reading relation 119951225
  29. Wed Feb 05 18:04:40 2020 error -9 reading relation 121349172
  30. Wed Feb 05 18:04:42 2020 error -9 reading relation 121590745
  31. Wed Feb 05 18:04:43 2020 skipped 24 relations with b > 2^32
  32. Wed Feb 05 18:04:43 2020 found 20245520 hash collisions in 121716757 relations
  33. Wed Feb 05 18:05:09 2020 added 1218752 free relations
  34. Wed Feb 05 18:05:09 2020 commencing duplicate removal, pass 2
  35. Wed Feb 05 18:07:55 2020 found 18062534 duplicates and 104872975 unique relations
  36. Wed Feb 05 18:07:55 2020 memory use: 660.8 MB
  37. Wed Feb 05 18:07:55 2020 reading ideals above 69926912
  38. Wed Feb 05 18:07:55 2020 commencing singleton removal, initial pass
  39. Wed Feb 05 18:24:47 2020 memory use: 2756.0 MB
  40. Wed Feb 05 18:24:48 2020 reading all ideals from disk
  41. Wed Feb 05 18:24:48 2020 memory use: 1797.8 MB
  42. Wed Feb 05 18:24:52 2020 commencing in-memory singleton removal
  43. Wed Feb 05 18:24:55 2020 begin with 104872975 relations and 83618934 unique ideals
  44. Wed Feb 05 18:25:32 2020 reduce to 71673815 relations and 47297419 ideals in 13 passes
  45. Wed Feb 05 18:25:32 2020 max relations containing the same ideal: 51
  46. Wed Feb 05 18:25:37 2020 reading ideals above 720000
  47. Wed Feb 05 18:25:37 2020 commencing singleton removal, initial pass
  48. Wed Feb 05 18:39:13 2020 memory use: 1506.0 MB
  49. Wed Feb 05 18:39:13 2020 reading all ideals from disk
  50. Wed Feb 05 18:39:39 2020 memory use: 2670.9 MB
  51. Wed Feb 05 18:39:46 2020 keeping 55157105 ideals with weight <= 200, target excess is 367994
  52. Wed Feb 05 18:39:52 2020 commencing in-memory singleton removal
  53. Wed Feb 05 18:39:57 2020 begin with 71673816 relations and 55157105 unique ideals
  54. Wed Feb 05 18:40:32 2020 reduce to 71673515 relations and 55156804 ideals in 6 passes
  55. Wed Feb 05 18:40:32 2020 max relations containing the same ideal: 200
  56. Wed Feb 05 18:41:00 2020 removing 8318294 relations and 6318294 ideals in 2000000 cliques
  57. Wed Feb 05 18:41:02 2020 commencing in-memory singleton removal
  58. Wed Feb 05 18:41:07 2020 begin with 63355221 relations and 55156804 unique ideals
  59. Wed Feb 05 18:41:51 2020 reduce to 62576742 relations and 48033525 ideals in 9 passes
  60. Wed Feb 05 18:41:51 2020 max relations containing the same ideal: 191
  61. Wed Feb 05 18:42:17 2020 removing 6661040 relations and 4661040 ideals in 2000000 cliques
  62. Wed Feb 05 18:42:18 2020 commencing in-memory singleton removal
  63. Wed Feb 05 18:42:22 2020 begin with 55915702 relations and 48033525 unique ideals
  64. Wed Feb 05 18:42:53 2020 reduce to 55369819 relations and 42809324 ideals in 7 passes
  65. Wed Feb 05 18:42:53 2020 max relations containing the same ideal: 179
  66. Wed Feb 05 18:43:15 2020 removing 6189261 relations and 4189261 ideals in 2000000 cliques
  67. Wed Feb 05 18:43:17 2020 commencing in-memory singleton removal
  68. Wed Feb 05 18:43:20 2020 begin with 49180558 relations and 42809324 unique ideals
  69. Wed Feb 05 18:43:47 2020 reduce to 48684551 relations and 38107367 ideals in 7 passes
  70. Wed Feb 05 18:43:47 2020 max relations containing the same ideal: 163
  71. Wed Feb 05 18:44:07 2020 removing 5950508 relations and 3950508 ideals in 2000000 cliques
  72. Wed Feb 05 18:44:09 2020 commencing in-memory singleton removal
  73. Wed Feb 05 18:44:12 2020 begin with 42734043 relations and 38107367 unique ideals
  74. Wed Feb 05 18:44:37 2020 reduce to 42243042 relations and 33647909 ideals in 8 passes
  75. Wed Feb 05 18:44:37 2020 max relations containing the same ideal: 148
  76. Wed Feb 05 18:44:55 2020 removing 5809975 relations and 3809975 ideals in 2000000 cliques
  77. Wed Feb 05 18:44:57 2020 commencing in-memory singleton removal
  78. Wed Feb 05 18:44:59 2020 begin with 36433067 relations and 33647909 unique ideals
  79. Wed Feb 05 18:45:18 2020 reduce to 35921993 relations and 29305841 ideals in 7 passes
  80. Wed Feb 05 18:45:18 2020 max relations containing the same ideal: 136
  81. Wed Feb 05 18:45:34 2020 removing 5726063 relations and 3726063 ideals in 2000000 cliques
  82. Wed Feb 05 18:45:35 2020 commencing in-memory singleton removal
  83. Wed Feb 05 18:45:37 2020 begin with 30195930 relations and 29305841 unique ideals
  84. Wed Feb 05 18:45:55 2020 reduce to 29640944 relations and 24998086 ideals in 8 passes
  85. Wed Feb 05 18:45:55 2020 max relations containing the same ideal: 117
  86. Wed Feb 05 18:46:08 2020 removing 5657341 relations and 3657341 ideals in 2000000 cliques
  87. Wed Feb 05 18:46:10 2020 commencing in-memory singleton removal
  88. Wed Feb 05 18:46:11 2020 begin with 23983603 relations and 24998086 unique ideals
  89. Wed Feb 05 18:46:23 2020 reduce to 23354461 relations and 20675569 ideals in 7 passes
  90. Wed Feb 05 18:46:23 2020 max relations containing the same ideal: 101
  91. Wed Feb 05 18:46:33 2020 removing 5591236 relations and 3591236 ideals in 2000000 cliques
  92. Wed Feb 05 18:46:35 2020 commencing in-memory singleton removal
  93. Wed Feb 05 18:46:36 2020 begin with 17763225 relations and 20675569 unique ideals
  94. Wed Feb 05 18:46:44 2020 reduce to 17001734 relations and 16266737 ideals in 7 passes
  95. Wed Feb 05 18:46:44 2020 max relations containing the same ideal: 82
  96. Wed Feb 05 18:46:52 2020 removing 1221463 relations and 913340 ideals in 308123 cliques
  97. Wed Feb 05 18:46:52 2020 commencing in-memory singleton removal
  98. Wed Feb 05 18:46:53 2020 begin with 15780271 relations and 16266737 unique ideals
  99. Wed Feb 05 18:47:00 2020 reduce to 15707489 relations and 15279261 ideals in 6 passes
  100. Wed Feb 05 18:47:00 2020 max relations containing the same ideal: 77
  101. Wed Feb 05 18:47:08 2020 relations with 0 large ideals: 13589
  102. Wed Feb 05 18:47:08 2020 relations with 1 large ideals: 5377
  103. Wed Feb 05 18:47:08 2020 relations with 2 large ideals: 61313
  104. Wed Feb 05 18:47:08 2020 relations with 3 large ideals: 417147
  105. Wed Feb 05 18:47:08 2020 relations with 4 large ideals: 1504152
  106. Wed Feb 05 18:47:08 2020 relations with 5 large ideals: 3205818
  107. Wed Feb 05 18:47:08 2020 relations with 6 large ideals: 4232110
  108. Wed Feb 05 18:47:08 2020 relations with 7+ large ideals: 6267983
  109. Wed Feb 05 18:47:08 2020 commencing 2-way merge
  110. Wed Feb 05 18:47:17 2020 reduce to 10596310 relation sets and 10168082 unique ideals
  111. Wed Feb 05 18:47:17 2020 commencing full merge
  112. Wed Feb 05 18:51:15 2020 memory use: 1388.9 MB
  113. Wed Feb 05 18:51:16 2020 found 4964100 cycles, need 4924282
  114. Wed Feb 05 18:51:16 2020 weight of 4924282 cycles is about 532276442 (108.09/cycle)
  115. Wed Feb 05 18:51:16 2020 distribution of cycle lengths:
  116. Wed Feb 05 18:51:16 2020 1 relations: 168604
  117. Wed Feb 05 18:51:16 2020 2 relations: 292732
  118. Wed Feb 05 18:51:16 2020 3 relations: 369190
  119. Wed Feb 05 18:51:16 2020 4 relations: 393317
  120. Wed Feb 05 18:51:16 2020 5 relations: 412796
  121. Wed Feb 05 18:51:16 2020 6 relations: 410015
  122. Wed Feb 05 18:51:16 2020 7 relations: 398372
  123. Wed Feb 05 18:51:16 2020 8 relations: 373949
  124. Wed Feb 05 18:51:16 2020 9 relations: 341943
  125. Wed Feb 05 18:51:16 2020 10+ relations: 1763364
  126. Wed Feb 05 18:51:16 2020 heaviest cycle: 28 relations
  127. Wed Feb 05 18:51:17 2020 commencing cycle optimization
  128. Wed Feb 05 18:51:25 2020 start with 41055474 relations
  129. Wed Feb 05 18:53:06 2020 pruned 1948863 relations
  130. Wed Feb 05 18:53:06 2020 memory use: 1080.0 MB
  131. Wed Feb 05 18:53:06 2020 distribution of cycle lengths:
  132. Wed Feb 05 18:53:06 2020 1 relations: 168604
  133. Wed Feb 05 18:53:06 2020 2 relations: 300537
  134. Wed Feb 05 18:53:06 2020 3 relations: 385841
  135. Wed Feb 05 18:53:06 2020 4 relations: 411419
  136. Wed Feb 05 18:53:06 2020 5 relations: 436095
  137. Wed Feb 05 18:53:06 2020 6 relations: 432066
  138. Wed Feb 05 18:53:06 2020 7 relations: 420151
  139. Wed Feb 05 18:53:06 2020 8 relations: 392159
  140. Wed Feb 05 18:53:06 2020 9 relations: 357458
  141. Wed Feb 05 18:53:06 2020 10+ relations: 1619952
  142. Wed Feb 05 18:53:06 2020 heaviest cycle: 28 relations
  143. Wed Feb 05 18:53:12 2020 RelProcTime: 3986
  144. Wed Feb 05 18:53:12 2020
  145. Wed Feb 05 18:53:12 2020 commencing linear algebra
  146. Wed Feb 05 18:53:12 2020 read 4924282 cycles
  147. Wed Feb 05 18:53:22 2020 cycles contain 15496266 unique relations
  148. Wed Feb 05 18:56:25 2020 read 15496266 relations
  149. Wed Feb 05 18:56:48 2020 using 20 quadratic characters above 1073741478
  150. Wed Feb 05 18:57:52 2020 building initial matrix
  151. Wed Feb 05 19:00:53 2020 memory use: 1935.3 MB
  152. Wed Feb 05 19:00:56 2020 read 4924282 cycles
  153. Wed Feb 05 19:00:58 2020 matrix is 4924105 x 4924282 (2101.5 MB) with weight 609959842 (123.87/col)
  154. Wed Feb 05 19:00:58 2020 sparse part has weight 496741300 (100.88/col)
  155. Wed Feb 05 19:01:50 2020 filtering completed in 2 passes
  156. Wed Feb 05 19:01:52 2020 matrix is 4923989 x 4924166 (2101.5 MB) with weight 609955725 (123.87/col)
  157. Wed Feb 05 19:01:52 2020 sparse part has weight 496739781 (100.88/col)
  158. Wed Feb 05 19:02:04 2020 matrix starts at (0, 0)
  159. Wed Feb 05 19:02:05 2020 matrix is 4923989 x 4924166 (2101.5 MB) with weight 609955725 (123.87/col)
  160. Wed Feb 05 19:02:05 2020 sparse part has weight 496739781 (100.88/col)
  161. Wed Feb 05 19:02:05 2020 saving the first 48 matrix rows for later
  162. Wed Feb 05 19:02:07 2020 matrix includes 64 packed rows
  163. Wed Feb 05 19:02:08 2020 matrix is 4923941 x 4924166 (2018.1 MB) with weight 516616534 (104.91/col)
  164. Wed Feb 05 19:02:08 2020 sparse part has weight 479783816 (97.43/col)
  165. Wed Feb 05 19:02:08 2020 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  166. Wed Feb 05 19:02:30 2020 commencing Lanczos iteration (8 threads)
  167. Wed Feb 05 19:02:30 2020 memory use: 1695.5 MB
  168. Wed Feb 05 19:03:01 2020 linear algebra at 0.0%, ETA 27h 3m
  169. Wed Feb 05 19:03:11 2020 checkpointing every 190000 dimensions
  170. Thu Feb 06 21:27:47 2020 lanczos halted after 77873 iterations (dim = 4923941)
  171. Thu Feb 06 21:27:54 2020 recovered 36 nontrivial dependencies
  172. Thu Feb 06 21:27:56 2020 BLanczosTime: 95684
  173. Thu Feb 06 21:27:56 2020
  174. Thu Feb 06 21:27:56 2020 commencing square root phase
  175. Thu Feb 06 21:27:56 2020 handling dependencies 1 to 64
  176. Thu Feb 06 21:27:56 2020 reading relations for dependency 1
  177. Thu Feb 06 21:27:57 2020 read 2464956 cycles
  178. Thu Feb 06 21:28:01 2020 cycles contain 7750058 unique relations
  179. Thu Feb 06 21:31:04 2020 read 7750058 relations
  180. Thu Feb 06 21:31:44 2020 multiplying 7750058 relations
  181. Thu Feb 06 21:37:46 2020 multiply complete, coefficients have about 221.00 million bits
  182. Thu Feb 06 21:37:48 2020 initial square root is modulo 85345783
  183. Thu Feb 06 21:45:26 2020 GCD is 1, no factor found
  184. Thu Feb 06 21:45:26 2020 reading relations for dependency 2
  185. Thu Feb 06 21:45:27 2020 read 2463440 cycles
  186. Thu Feb 06 21:45:31 2020 cycles contain 7748348 unique relations
  187. Thu Feb 06 21:46:57 2020 read 7748348 relations
  188. Thu Feb 06 21:47:38 2020 multiplying 7748348 relations
  189. Thu Feb 06 21:53:39 2020 multiply complete, coefficients have about 220.95 million bits
  190. Thu Feb 06 21:53:41 2020 initial square root is modulo 84995917
  191. Thu Feb 06 22:01:23 2020 sqrtTime: 2007
  192. Thu Feb 06 22:01:23 2020 prp52 factor: 2714544272337420845752541917290912864811110497500199
  193. Thu Feb 06 22:01:23 2020 prp170 factor: 17923350386376571167371508636689654962273758868017263022454578238563161017477119554912045715130280436796227984796092002654374319612176944226212174908288098520323623415487
  194. Thu Feb 06 22:01:23 2020 elapsed time 28:14:38
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