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729__569_13m1

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Aug 28th, 2020
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  1. Wed Aug 19 16:27:54 2020
  2. Wed Aug 19 16:27:54 2020
  3. Wed Aug 19 16:27:54 2020 Msieve v. 1.54 (SVN 1030)
  4. Wed Aug 19 16:27:54 2020 random seeds: 5d21cea3 98818291
  5. Wed Aug 19 16:27:54 2020 factoring 4669937847922960469627450025852521600970960716253233463463175393037881391445831426544400440779446261919779956841537764139538685150025011203456632914616237356852276106135950741518387764290511773720355409129825475537 (214 digits)
  6. Wed Aug 19 16:27:55 2020 no P-1/P+1/ECM available, skipping
  7. Wed Aug 19 16:27:55 2020 commencing number field sieve (214-digit input)
  8. Wed Aug 19 16:27:55 2020 R0: 53145718831620619426213008116646863762
  9. Wed Aug 19 16:27:55 2020 R1: -7290111030129830569
  10. Wed Aug 19 16:27:55 2020 A0: -1
  11. Wed Aug 19 16:27:55 2020 A1: 3
  12. Wed Aug 19 16:27:55 2020 A2: 6
  13. Wed Aug 19 16:27:55 2020 A3: -4
  14. Wed Aug 19 16:27:55 2020 A4: -5
  15. Wed Aug 19 16:27:55 2020 A5: 1
  16. Wed Aug 19 16:27:55 2020 A6: 1
  17. Wed Aug 19 16:27:55 2020 skew 1.00, size 3.750e-11, alpha 3.126, combined = 1.629e-12 rroots = 6
  18. Wed Aug 19 16:27:55 2020
  19. Wed Aug 19 16:27:55 2020 commencing relation filtering
  20. Wed Aug 19 16:27:55 2020 setting target matrix density to 120.0
  21. Wed Aug 19 16:27:55 2020 estimated available RAM is 128833.4 MB
  22. Wed Aug 19 16:27:55 2020 commencing duplicate removal, pass 1
  23. Wed Aug 19 16:37:06 2020 error -15 reading relation 106829191
  24. Wed Aug 19 16:37:47 2020 skipped 6 relations with b > 2^32
  25. Wed Aug 19 16:37:47 2020 found 5401416 hash collisions in 111455481 relations
  26. Wed Aug 19 16:37:47 2020 commencing duplicate removal, pass 2
  27. Wed Aug 19 16:38:07 2020 found 0 duplicates and 111455481 unique relations
  28. Wed Aug 19 16:38:07 2020 memory use: 378.4 MB
  29. Wed Aug 19 16:38:07 2020 reading ideals above 720000
  30. Wed Aug 19 16:38:07 2020 commencing singleton removal, initial pass
  31. Wed Aug 19 16:47:08 2020 memory use: 2756.0 MB
  32. Wed Aug 19 16:47:08 2020 reading all ideals from disk
  33. Wed Aug 19 16:47:09 2020 memory use: 4174.4 MB
  34. Wed Aug 19 16:47:14 2020 keeping 92706986 ideals with weight <= 200, target excess is 567760
  35. Wed Aug 19 16:47:22 2020 commencing in-memory singleton removal
  36. Wed Aug 19 16:47:27 2020 begin with 111455481 relations and 92706986 unique ideals
  37. Wed Aug 19 16:48:34 2020 reduce to 80451735 relations and 59066262 ideals in 13 passes
  38. Wed Aug 19 16:48:34 2020 max relations containing the same ideal: 169
  39. Wed Aug 19 16:48:56 2020 removing 7759599 relations and 5759599 ideals in 2000000 cliques
  40. Wed Aug 19 16:48:57 2020 commencing in-memory singleton removal
  41. Wed Aug 19 16:49:00 2020 begin with 72692136 relations and 59066262 unique ideals
  42. Wed Aug 19 16:49:36 2020 reduce to 72066008 relations and 52661191 ideals in 8 passes
  43. Wed Aug 19 16:49:36 2020 max relations containing the same ideal: 163
  44. Wed Aug 19 16:49:55 2020 removing 6322164 relations and 4322164 ideals in 2000000 cliques
  45. Wed Aug 19 16:49:57 2020 commencing in-memory singleton removal
  46. Wed Aug 19 16:50:00 2020 begin with 65743844 relations and 52661191 unique ideals
  47. Wed Aug 19 16:50:27 2020 reduce to 65309704 relations and 47892501 ideals in 7 passes
  48. Wed Aug 19 16:50:27 2020 max relations containing the same ideal: 149
  49. Wed Aug 19 16:50:45 2020 removing 5885168 relations and 3885168 ideals in 2000000 cliques
  50. Wed Aug 19 16:50:46 2020 commencing in-memory singleton removal
  51. Wed Aug 19 16:50:49 2020 begin with 59424536 relations and 47892501 unique ideals
  52. Wed Aug 19 16:51:13 2020 reduce to 59041310 relations and 43613117 ideals in 7 passes
  53. Wed Aug 19 16:51:13 2020 max relations containing the same ideal: 140
  54. Wed Aug 19 16:51:30 2020 removing 5661514 relations and 3661514 ideals in 2000000 cliques
  55. Wed Aug 19 16:51:31 2020 commencing in-memory singleton removal
  56. Wed Aug 19 16:51:33 2020 begin with 53379796 relations and 43613117 unique ideals
  57. Wed Aug 19 16:51:58 2020 reduce to 53011107 relations and 39571466 ideals in 8 passes
  58. Wed Aug 19 16:51:58 2020 max relations containing the same ideal: 130
  59. Wed Aug 19 16:52:12 2020 removing 5523963 relations and 3523963 ideals in 2000000 cliques
  60. Wed Aug 19 16:52:13 2020 commencing in-memory singleton removal
  61. Wed Aug 19 16:52:15 2020 begin with 47487144 relations and 39571466 unique ideals
  62. Wed Aug 19 16:52:34 2020 reduce to 47116314 relations and 35664334 ideals in 7 passes
  63. Wed Aug 19 16:52:34 2020 max relations containing the same ideal: 119
  64. Wed Aug 19 16:52:47 2020 removing 5433728 relations and 3433728 ideals in 2000000 cliques
  65. Wed Aug 19 16:52:48 2020 commencing in-memory singleton removal
  66. Wed Aug 19 16:52:50 2020 begin with 41682586 relations and 35664334 unique ideals
  67. Wed Aug 19 16:53:07 2020 reduce to 41298760 relations and 31832494 ideals in 7 passes
  68. Wed Aug 19 16:53:07 2020 max relations containing the same ideal: 109
  69. Wed Aug 19 16:53:18 2020 removing 5372064 relations and 3372064 ideals in 2000000 cliques
  70. Wed Aug 19 16:53:19 2020 commencing in-memory singleton removal
  71. Wed Aug 19 16:53:21 2020 begin with 35926696 relations and 31832494 unique ideals
  72. Wed Aug 19 16:53:35 2020 reduce to 35519373 relations and 28036049 ideals in 7 passes
  73. Wed Aug 19 16:53:35 2020 max relations containing the same ideal: 100
  74. Wed Aug 19 16:53:46 2020 removing 5323670 relations and 3323670 ideals in 2000000 cliques
  75. Wed Aug 19 16:53:47 2020 commencing in-memory singleton removal
  76. Wed Aug 19 16:53:48 2020 begin with 30195703 relations and 28036049 unique ideals
  77. Wed Aug 19 16:54:00 2020 reduce to 29749383 relations and 24245123 ideals in 7 passes
  78. Wed Aug 19 16:54:00 2020 max relations containing the same ideal: 89
  79. Wed Aug 19 16:54:08 2020 removing 5278446 relations and 3278446 ideals in 2000000 cliques
  80. Wed Aug 19 16:54:09 2020 commencing in-memory singleton removal
  81. Wed Aug 19 16:54:10 2020 begin with 24470937 relations and 24245123 unique ideals
  82. Wed Aug 19 16:54:20 2020 reduce to 23971052 relations and 20438825 ideals in 7 passes
  83. Wed Aug 19 16:54:20 2020 max relations containing the same ideal: 78
  84. Wed Aug 19 16:54:27 2020 removing 5228786 relations and 3228786 ideals in 2000000 cliques
  85. Wed Aug 19 16:54:28 2020 commencing in-memory singleton removal
  86. Wed Aug 19 16:54:28 2020 begin with 18742266 relations and 20438825 unique ideals
  87. Wed Aug 19 16:54:36 2020 reduce to 18154126 relations and 16581104 ideals in 8 passes
  88. Wed Aug 19 16:54:36 2020 max relations containing the same ideal: 63
  89. Wed Aug 19 16:54:41 2020 removing 2661600 relations and 1747180 ideals in 914420 cliques
  90. Wed Aug 19 16:54:42 2020 commencing in-memory singleton removal
  91. Wed Aug 19 16:54:43 2020 begin with 15492526 relations and 16581104 unique ideals
  92. Wed Aug 19 16:54:48 2020 reduce to 15204038 relations and 14531795 ideals in 7 passes
  93. Wed Aug 19 16:54:48 2020 max relations containing the same ideal: 55
  94. Wed Aug 19 16:54:53 2020 removing 75832 relations and 62191 ideals in 13641 cliques
  95. Wed Aug 19 16:54:53 2020 commencing in-memory singleton removal
  96. Wed Aug 19 16:54:54 2020 begin with 15128206 relations and 14531795 unique ideals
  97. Wed Aug 19 16:54:58 2020 reduce to 15127849 relations and 14469246 ideals in 5 passes
  98. Wed Aug 19 16:54:58 2020 max relations containing the same ideal: 55
  99. Wed Aug 19 16:54:59 2020 relations with 0 large ideals: 41809
  100. Wed Aug 19 16:54:59 2020 relations with 1 large ideals: 18082
  101. Wed Aug 19 16:54:59 2020 relations with 2 large ideals: 161259
  102. Wed Aug 19 16:54:59 2020 relations with 3 large ideals: 849301
  103. Wed Aug 19 16:54:59 2020 relations with 4 large ideals: 2358101
  104. Wed Aug 19 16:54:59 2020 relations with 5 large ideals: 3826741
  105. Wed Aug 19 16:54:59 2020 relations with 6 large ideals: 3817679
  106. Wed Aug 19 16:54:59 2020 relations with 7+ large ideals: 4054877
  107. Wed Aug 19 16:54:59 2020 commencing 2-way merge
  108. Wed Aug 19 16:55:05 2020 reduce to 10626066 relation sets and 9967463 unique ideals
  109. Wed Aug 19 16:55:05 2020 commencing full merge
  110. Wed Aug 19 16:57:56 2020 memory use: 1338.6 MB
  111. Wed Aug 19 16:57:57 2020 found 4762800 cycles, need 4733663
  112. Wed Aug 19 16:57:58 2020 weight of 4733663 cycles is about 568283296 (120.05/cycle)
  113. Wed Aug 19 16:57:58 2020 distribution of cycle lengths:
  114. Wed Aug 19 16:57:58 2020 1 relations: 130497
  115. Wed Aug 19 16:57:58 2020 2 relations: 219855
  116. Wed Aug 19 16:57:58 2020 3 relations: 292668
  117. Wed Aug 19 16:57:58 2020 4 relations: 325234
  118. Wed Aug 19 16:57:58 2020 5 relations: 351407
  119. Wed Aug 19 16:57:58 2020 6 relations: 357053
  120. Wed Aug 19 16:57:58 2020 7 relations: 356326
  121. Wed Aug 19 16:57:58 2020 8 relations: 345991
  122. Wed Aug 19 16:57:58 2020 9 relations: 323709
  123. Wed Aug 19 16:57:58 2020 10+ relations: 2030923
  124. Wed Aug 19 16:57:58 2020 heaviest cycle: 28 relations
  125. Wed Aug 19 16:57:59 2020 commencing cycle optimization
  126. Wed Aug 19 16:58:06 2020 start with 44356176 relations
  127. Wed Aug 19 16:59:21 2020 pruned 2504466 relations
  128. Wed Aug 19 16:59:21 2020 memory use: 1085.2 MB
  129. Wed Aug 19 16:59:21 2020 distribution of cycle lengths:
  130. Wed Aug 19 16:59:21 2020 1 relations: 130497
  131. Wed Aug 19 16:59:21 2020 2 relations: 225719
  132. Wed Aug 19 16:59:21 2020 3 relations: 306238
  133. Wed Aug 19 16:59:21 2020 4 relations: 341386
  134. Wed Aug 19 16:59:21 2020 5 relations: 373776
  135. Wed Aug 19 16:59:21 2020 6 relations: 380116
  136. Wed Aug 19 16:59:21 2020 7 relations: 382046
  137. Wed Aug 19 16:59:21 2020 8 relations: 368576
  138. Wed Aug 19 16:59:21 2020 9 relations: 344749
  139. Wed Aug 19 16:59:21 2020 10+ relations: 1880560
  140. Wed Aug 19 16:59:21 2020 heaviest cycle: 28 relations
  141. Wed Aug 19 16:59:24 2020 RelProcTime: 1889
  142. Wed Aug 19 16:59:25 2020
  143. Wed Aug 19 16:59:25 2020 commencing linear algebra
  144. Wed Aug 19 16:59:25 2020 read 4733663 cycles
  145. Wed Aug 19 16:59:32 2020 cycles contain 14841555 unique relations
  146. Wed Aug 19 17:00:23 2020 read 14841555 relations
  147. Wed Aug 19 17:00:47 2020 using 20 quadratic characters above 4294917295
  148. Wed Aug 19 17:01:27 2020 building initial matrix
  149. Wed Aug 19 17:03:38 2020 memory use: 1813.0 MB
  150. Wed Aug 19 17:03:40 2020 read 4733663 cycles
  151. Wed Aug 19 17:03:40 2020 matrix is 4733486 x 4733663 (2179.7 MB) with weight 618262290 (130.61/col)
  152. Wed Aug 19 17:03:40 2020 sparse part has weight 524065771 (110.71/col)
  153. Wed Aug 19 17:04:13 2020 filtering completed in 2 passes
  154. Wed Aug 19 17:04:13 2020 matrix is 4733393 x 4733570 (2179.7 MB) with weight 618259241 (130.61/col)
  155. Wed Aug 19 17:04:13 2020 sparse part has weight 524064596 (110.71/col)
  156. Wed Aug 19 17:04:37 2020 matrix starts at (0, 0)
  157. Wed Aug 19 17:04:37 2020 matrix is 4733393 x 4733570 (2179.7 MB) with weight 618259241 (130.61/col)
  158. Wed Aug 19 17:04:37 2020 sparse part has weight 524064596 (110.71/col)
  159. Wed Aug 19 17:04:37 2020 saving the first 48 matrix rows for later
  160. Wed Aug 19 17:04:38 2020 matrix includes 64 packed rows
  161. Wed Aug 19 17:04:38 2020 matrix is 4733345 x 4733570 (2091.0 MB) with weight 533815204 (112.77/col)
  162. Wed Aug 19 17:04:38 2020 sparse part has weight 500809561 (105.80/col)
  163. Wed Aug 19 17:04:38 2020 using block size 8192 and superblock size 6291456 for processor cache size 65536 kB
  164. Wed Aug 19 17:04:49 2020 commencing Lanczos iteration (16 threads)
  165. Wed Aug 19 17:04:49 2020 memory use: 1987.6 MB
  166. Wed Aug 19 17:04:59 2020 linear algebra at 0.0%, ETA 7h46m
  167. Wed Aug 19 17:05:02 2020 checkpointing every 610000 dimensions
  168. Thu Aug 20 00:39:05 2020 lanczos halted after 74852 iterations (dim = 4733341)
  169. Thu Aug 20 00:39:08 2020 recovered 31 nontrivial dependencies
  170. Thu Aug 20 00:39:08 2020 BLanczosTime: 27583
  171. Thu Aug 20 00:39:08 2020
  172. Thu Aug 20 00:39:08 2020 commencing square root phase
  173. Thu Aug 20 00:39:08 2020 handling dependencies 1 to 64
  174. Thu Aug 20 00:39:08 2020 reading relations for dependency 1
  175. Thu Aug 20 00:39:10 2020 read 2365919 cycles
  176. Thu Aug 20 00:39:13 2020 cycles contain 7417616 unique relations
  177. Thu Aug 20 00:39:41 2020 read 7417616 relations
  178. Thu Aug 20 00:40:00 2020 multiplying 7417616 relations
  179. Thu Aug 20 00:42:29 2020 multiply complete, coefficients have about 180.76 million bits
  180. Thu Aug 20 00:42:30 2020 initial square root is modulo 3069397
  181. Thu Aug 20 00:45:23 2020 GCD is 1, no factor found
  182. Thu Aug 20 00:45:23 2020 reading relations for dependency 2
  183. Thu Aug 20 00:45:23 2020 read 2365511 cycles
  184. Thu Aug 20 00:45:26 2020 cycles contain 7417690 unique relations
  185. Thu Aug 20 00:45:54 2020 read 7417690 relations
  186. Thu Aug 20 00:46:13 2020 multiplying 7417690 relations
  187. Thu Aug 20 00:48:42 2020 multiply complete, coefficients have about 180.78 million bits
  188. Thu Aug 20 00:48:43 2020 initial square root is modulo 3075209
  189. Thu Aug 20 00:51:37 2020 sqrtTime: 749
  190. Thu Aug 20 00:51:37 2020 p57 factor: 306898094953959745998691492463080223702000970268483228387
  191. Thu Aug 20 00:51:37 2020 p158 factor: 15216574898008198594265248163743357787805864769331649967367117551854117263342078415782629817716878819468513550018264678132735569164522322767079753987248779451
  192. Thu Aug 20 00:51:37 2020 elapsed time 08:23:43
  193.  
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