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Apr 19th, 2023
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  1. Wed Apr 19 16:55:30 2023 Msieve v. 1.54 (SVN 03e8738)
  2. Wed Apr 19 16:55:30 2023 random seeds: 12ad1b38 79390126
  3. Wed Apr 19 16:55:30 2023 Using 16 OpenMP threads
  4. Wed Apr 19 16:55:30 2023 factoring 2465757389007669421417752131554257047811798438539413295814455645626240469406919948220212788137602655940310558807439304912039962974054182162601294263074070003550944078750453507028511732577211897 (193 digits)
  5. Wed Apr 19 16:55:31 2023 no P-1/P+1/ECM available, skipping
  6. Wed Apr 19 16:55:31 2023 commencing number field sieve (193-digit input)
  7. Wed Apr 19 16:55:31 2023 R0: 8013400647154868150462376067393774084130
  8. Wed Apr 19 16:55:31 2023 R1: -89517599650319423377
  9. Wed Apr 19 16:55:31 2023 A0: -1
  10. Wed Apr 19 16:55:31 2023 A1: 3
  11. Wed Apr 19 16:55:31 2023 A2: 6
  12. Wed Apr 19 16:55:31 2023 A3: -4
  13. Wed Apr 19 16:55:31 2023 A4: -5
  14. Wed Apr 19 16:55:31 2023 A5: 1
  15. Wed Apr 19 16:55:31 2023 A6: 1
  16. Wed Apr 19 16:55:31 2023 skew 1.00, size 8.947e-12, alpha 3.126, combined = 5.747e-13 rroots = 6
  17. Wed Apr 19 16:55:31 2023
  18. Wed Apr 19 16:55:31 2023 commencing relation filtering
  19. Wed Apr 19 16:55:31 2023 setting target matrix density to 110.0
  20. Wed Apr 19 16:55:31 2023 estimated available RAM is 64238.6 MB
  21. Wed Apr 19 16:55:31 2023 commencing duplicate removal, pass 1
  22. Wed Apr 19 16:57:17 2023 skipped 24 relations with b > 2^32
  23. Wed Apr 19 16:57:17 2023 found 4168675 hash collisions in 136618002 relations
  24. Wed Apr 19 16:57:21 2023 added 2438358 free relations
  25. Wed Apr 19 16:57:21 2023 commencing duplicate removal, pass 2
  26. Wed Apr 19 16:57:43 2023 found 0 duplicates and 139056360 unique relations
  27. Wed Apr 19 16:57:43 2023 memory use: 405.2 MB
  28. Wed Apr 19 16:57:43 2023 reading ideals above 720000
  29. Wed Apr 19 16:57:43 2023 commencing singleton removal, initial pass
  30. Wed Apr 19 17:01:47 2023 memory use: 3012.0 MB
  31. Wed Apr 19 17:01:47 2023 reading all ideals from disk
  32. Wed Apr 19 17:01:49 2023 memory use: 6458.2 MB
  33. Wed Apr 19 17:01:54 2023 keeping 120452201 ideals with weight <= 200, target excess is 688635
  34. Wed Apr 19 17:02:02 2023 commencing in-memory singleton removal
  35. Wed Apr 19 17:02:04 2023 begin with 139056360 relations and 120452201 unique ideals
  36. Wed Apr 19 17:02:17 2023 reduce to 100317565 relations and 79241319 ideals in 12 passes
  37. Wed Apr 19 17:02:17 2023 max relations containing the same ideal: 170
  38. Wed Apr 19 17:02:34 2023 removing 9115412 relations and 7115412 ideals in 2000000 cliques
  39. Wed Apr 19 17:02:36 2023 commencing in-memory singleton removal
  40. Wed Apr 19 17:02:38 2023 begin with 91202153 relations and 79241319 unique ideals
  41. Wed Apr 19 17:02:44 2023 reduce to 90538064 relations and 71445016 ideals in 8 passes
  42. Wed Apr 19 17:02:44 2023 max relations containing the same ideal: 160
  43. Wed Apr 19 17:03:00 2023 removing 7170295 relations and 5170295 ideals in 2000000 cliques
  44. Wed Apr 19 17:03:02 2023 commencing in-memory singleton removal
  45. Wed Apr 19 17:03:03 2023 begin with 83367769 relations and 71445016 unique ideals
  46. Wed Apr 19 17:03:09 2023 reduce to 82904727 relations and 65801453 ideals in 8 passes
  47. Wed Apr 19 17:03:09 2023 max relations containing the same ideal: 150
  48. Wed Apr 19 17:03:23 2023 removing 6642902 relations and 4642902 ideals in 2000000 cliques
  49. Wed Apr 19 17:03:25 2023 commencing in-memory singleton removal
  50. Wed Apr 19 17:03:26 2023 begin with 76261825 relations and 65801453 unique ideals
  51. Wed Apr 19 17:03:31 2023 reduce to 75840022 relations and 60726930 ideals in 7 passes
  52. Wed Apr 19 17:03:31 2023 max relations containing the same ideal: 141
  53. Wed Apr 19 17:03:44 2023 removing 6383012 relations and 4383012 ideals in 2000000 cliques
  54. Wed Apr 19 17:03:45 2023 commencing in-memory singleton removal
  55. Wed Apr 19 17:03:46 2023 begin with 69457010 relations and 60726930 unique ideals
  56. Wed Apr 19 17:03:51 2023 reduce to 69044194 relations and 55921178 ideals in 7 passes
  57. Wed Apr 19 17:03:51 2023 max relations containing the same ideal: 131
  58. Wed Apr 19 17:04:03 2023 removing 6235393 relations and 4235393 ideals in 2000000 cliques
  59. Wed Apr 19 17:04:04 2023 commencing in-memory singleton removal
  60. Wed Apr 19 17:04:05 2023 begin with 62808801 relations and 55921178 unique ideals
  61. Wed Apr 19 17:04:09 2023 reduce to 62389099 relations and 51255014 ideals in 7 passes
  62. Wed Apr 19 17:04:09 2023 max relations containing the same ideal: 125
  63. Wed Apr 19 17:04:20 2023 removing 6146758 relations and 4146758 ideals in 2000000 cliques
  64. Wed Apr 19 17:04:22 2023 commencing in-memory singleton removal
  65. Wed Apr 19 17:04:23 2023 begin with 56242341 relations and 51255014 unique ideals
  66. Wed Apr 19 17:04:26 2023 reduce to 55799242 relations and 46652613 ideals in 7 passes
  67. Wed Apr 19 17:04:26 2023 max relations containing the same ideal: 117
  68. Wed Apr 19 17:04:36 2023 removing 6103923 relations and 4103923 ideals in 2000000 cliques
  69. Wed Apr 19 17:04:37 2023 commencing in-memory singleton removal
  70. Wed Apr 19 17:04:38 2023 begin with 49695319 relations and 46652613 unique ideals
  71. Wed Apr 19 17:04:41 2023 reduce to 49217610 relations and 42055878 ideals in 7 passes
  72. Wed Apr 19 17:04:41 2023 max relations containing the same ideal: 108
  73. Wed Apr 19 17:04:50 2023 removing 6088779 relations and 4088779 ideals in 2000000 cliques
  74. Wed Apr 19 17:04:52 2023 commencing in-memory singleton removal
  75. Wed Apr 19 17:04:52 2023 begin with 43128831 relations and 42055878 unique ideals
  76. Wed Apr 19 17:04:55 2023 reduce to 42594973 relations and 37414455 ideals in 8 passes
  77. Wed Apr 19 17:04:55 2023 max relations containing the same ideal: 98
  78. Wed Apr 19 17:05:03 2023 removing 6102210 relations and 4102210 ideals in 2000000 cliques
  79. Wed Apr 19 17:05:04 2023 commencing in-memory singleton removal
  80. Wed Apr 19 17:05:05 2023 begin with 36492763 relations and 37414455 unique ideals
  81. Wed Apr 19 17:05:07 2023 reduce to 35877517 relations and 32671671 ideals in 8 passes
  82. Wed Apr 19 17:05:07 2023 max relations containing the same ideal: 90
  83. Wed Apr 19 17:05:14 2023 removing 6141818 relations and 4141818 ideals in 2000000 cliques
  84. Wed Apr 19 17:05:16 2023 commencing in-memory singleton removal
  85. Wed Apr 19 17:05:16 2023 begin with 29735699 relations and 32671671 unique ideals
  86. Wed Apr 19 17:05:18 2023 reduce to 28984773 relations and 27741916 ideals in 8 passes
  87. Wed Apr 19 17:05:18 2023 max relations containing the same ideal: 75
  88. Wed Apr 19 17:05:24 2023 removing 1848511 relations and 1404471 ideals in 444040 cliques
  89. Wed Apr 19 17:05:24 2023 commencing in-memory singleton removal
  90. Wed Apr 19 17:05:25 2023 begin with 27136262 relations and 27741916 unique ideals
  91. Wed Apr 19 17:05:26 2023 reduce to 27037377 relations and 26237067 ideals in 8 passes
  92. Wed Apr 19 17:05:26 2023 max relations containing the same ideal: 72
  93. Wed Apr 19 17:05:34 2023 relations with 0 large ideals: 52854
  94. Wed Apr 19 17:05:34 2023 relations with 1 large ideals: 13557
  95. Wed Apr 19 17:05:34 2023 relations with 2 large ideals: 160177
  96. Wed Apr 19 17:05:34 2023 relations with 3 large ideals: 959961
  97. Wed Apr 19 17:05:34 2023 relations with 4 large ideals: 3104292
  98. Wed Apr 19 17:05:34 2023 relations with 5 large ideals: 5973755
  99. Wed Apr 19 17:05:34 2023 relations with 6 large ideals: 7146694
  100. Wed Apr 19 17:05:34 2023 relations with 7+ large ideals: 9626087
  101. Wed Apr 19 17:05:34 2023 commencing 2-way merge
  102. Wed Apr 19 17:05:42 2023 reduce to 18127635 relation sets and 17327325 unique ideals
  103. Wed Apr 19 17:05:42 2023 commencing full merge
  104. Wed Apr 19 17:10:01 2023 memory use: 2370.9 MB
  105. Wed Apr 19 17:10:02 2023 found 8360371 cycles, need 8303525
  106. Wed Apr 19 17:10:03 2023 weight of 8303525 cycles is about 913871580 (110.06/cycle)
  107. Wed Apr 19 17:10:03 2023 distribution of cycle lengths:
  108. Wed Apr 19 17:10:03 2023 1 relations: 416909
  109. Wed Apr 19 17:10:03 2023 2 relations: 540680
  110. Wed Apr 19 17:10:03 2023 3 relations: 613316
  111. Wed Apr 19 17:10:03 2023 4 relations: 626701
  112. Wed Apr 19 17:10:03 2023 5 relations: 636311
  113. Wed Apr 19 17:10:03 2023 6 relations: 624475
  114. Wed Apr 19 17:10:03 2023 7 relations: 606358
  115. Wed Apr 19 17:10:03 2023 8 relations: 574642
  116. Wed Apr 19 17:10:03 2023 9 relations: 536094
  117. Wed Apr 19 17:10:03 2023 10+ relations: 3128039
  118. Wed Apr 19 17:10:03 2023 heaviest cycle: 28 relations
  119. Wed Apr 19 17:10:05 2023 commencing cycle optimization
  120. Wed Apr 19 17:10:15 2023 start with 70785244 relations
  121. Wed Apr 19 17:11:50 2023 pruned 3297062 relations
  122. Wed Apr 19 17:11:50 2023 memory use: 1850.5 MB
  123. Wed Apr 19 17:11:50 2023 distribution of cycle lengths:
  124. Wed Apr 19 17:11:50 2023 1 relations: 416909
  125. Wed Apr 19 17:11:50 2023 2 relations: 552833
  126. Wed Apr 19 17:11:50 2023 3 relations: 638287
  127. Wed Apr 19 17:11:50 2023 4 relations: 652595
  128. Wed Apr 19 17:11:50 2023 5 relations: 668879
  129. Wed Apr 19 17:11:50 2023 6 relations: 656146
  130. Wed Apr 19 17:11:50 2023 7 relations: 639136
  131. Wed Apr 19 17:11:50 2023 8 relations: 602514
  132. Wed Apr 19 17:11:50 2023 9 relations: 560872
  133. Wed Apr 19 17:11:50 2023 10+ relations: 2915354
  134. Wed Apr 19 17:11:50 2023 heaviest cycle: 28 relations
  135. Wed Apr 19 17:11:58 2023 RelProcTime: 987
  136. Wed Apr 19 17:11:58 2023
  137. Wed Apr 19 17:11:58 2023 commencing linear algebra
  138. Wed Apr 19 17:11:58 2023 using VBITS=256
  139. Wed Apr 19 17:11:59 2023 read 8303525 cycles
  140. Wed Apr 19 17:12:09 2023 cycles contain 26627832 unique relations
  141. Wed Apr 19 17:12:24 2023 read 26627832 relations
  142. Wed Apr 19 17:12:27 2023 using 20 quadratic characters above 4294917295
  143. Wed Apr 19 17:12:32 2023 building initial matrix
  144. Wed Apr 19 17:15:20 2023 memory use: 3242.0 MB
  145. Wed Apr 19 17:15:22 2023 read 8303525 cycles
  146. Wed Apr 19 17:15:23 2023 matrix is 8303348 x 8303525 (3578.4 MB) with weight 1013984365 (122.11/col)
  147. Wed Apr 19 17:15:23 2023 sparse part has weight 855022459 (102.97/col)
  148. Wed Apr 19 17:16:07 2023 filtering completed in 2 passes
  149. Wed Apr 19 17:16:08 2023 matrix is 8302973 x 8303135 (3578.4 MB) with weight 1013971616 (122.12/col)
  150. Wed Apr 19 17:16:08 2023 sparse part has weight 855017238 (102.98/col)
  151. Wed Apr 19 17:16:18 2023 matrix starts at (0, 0)
  152. Wed Apr 19 17:16:19 2023 matrix is 8302973 x 8303135 (3578.4 MB) with weight 1013971616 (122.12/col)
  153. Wed Apr 19 17:16:19 2023 sparse part has weight 855017238 (102.98/col)
  154. Wed Apr 19 17:16:19 2023 saving the first 240 matrix rows for later
  155. Wed Apr 19 17:16:20 2023 matrix includes 256 packed rows
  156. Wed Apr 19 17:16:22 2023 matrix is 8302733 x 8303135 (3314.7 MB) with weight 775830218 (93.44/col)
  157. Wed Apr 19 17:16:22 2023 sparse part has weight 736079321 (88.65/col)
  158. Wed Apr 19 17:16:22 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  159. Wed Apr 19 17:16:22 2023 selected card has CUDA arch 8.6
  160. Wed Apr 19 17:16:51 2023 commencing Lanczos iteration
  161. Wed Apr 19 17:16:51 2023 memory use: 7706.3 MB
  162. Wed Apr 19 17:17:15 2023 linear algebra at 0.4%, ETA 1h47m
  163. Wed Apr 19 17:17:51 2023 checking every 70000 dimensions, checkpointing every 4620000 dimensions
  164. Wed Apr 19 19:03:31 2023 lanczos halted after 32532 iterations (dim = 8302728)
  165. Wed Apr 19 19:04:16 2023 recovered 32 nontrivial dependencies
  166. Wed Apr 19 19:04:16 2023 BLanczosTime: 6738
  167. Wed Apr 19 19:04:16 2023
  168. Wed Apr 19 19:04:16 2023 commencing square root phase
  169. Wed Apr 19 19:04:16 2023 handling dependencies 1 to 64
  170. Wed Apr 19 19:04:16 2023 reading relations for dependency 1
  171. Wed Apr 19 19:04:18 2023 read 4151849 cycles
  172. Wed Apr 19 19:04:25 2023 cycles contain 13315620 unique relations
  173. Wed Apr 19 19:05:03 2023 read 13315620 relations
  174. Wed Apr 19 19:05:50 2023 multiplying 13315620 relations
  175. Wed Apr 19 19:10:07 2023 multiply complete, coefficients have about 328.55 million bits
  176. Wed Apr 19 19:10:09 2023 initial square root is modulo 785779
  177. Wed Apr 19 19:13:19 2023 sqrtTime: 543
  178. Wed Apr 19 19:13:19 2023 p81 factor: 778942014732634938351354443538433754451974269891805813822196010759775341891516747
  179. Wed Apr 19 19:13:19 2023 p112 factor: 3165521107311202320270399698544187767907719052124256322370375373210483266954246683747793669477342488108432197451
  180. Wed Apr 19 19:13:19 2023 elapsed time 02:17:49
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