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Nov 1st, 2022
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  1. Mon Oct 31 07:47:22 2022
  2. Mon Oct 31 07:47:22 2022
  3. Mon Oct 31 07:47:22 2022 Msieve v. 1.54 (SVN 1043M)
  4. Mon Oct 31 07:47:22 2022 random seeds: 77bd7871 15d8c6b7
  5. Mon Oct 31 07:47:22 2022 factoring 6065821096057674922358679078885812285279519428355488643519725031333664829044802054927692293194964341789734697703818570804909041051803550257686290207884529658979217899416575060488916939529370905551903149198071 (208 digits)
  6. Mon Oct 31 07:47:23 2022 searching for 15-digit factors
  7. Mon Oct 31 07:47:24 2022 commencing number field sieve (208-digit input)
  8. Mon Oct 31 07:47:24 2022 R0: -50000000000000000000000000000000000000
  9. Mon Oct 31 07:47:24 2022 R1: 1
  10. Mon Oct 31 07:47:24 2022 A0: -5
  11. Mon Oct 31 07:47:24 2022 A1: 0
  12. Mon Oct 31 07:47:24 2022 A2: 0
  13. Mon Oct 31 07:47:24 2022 A3: 0
  14. Mon Oct 31 07:47:24 2022 A4: 0
  15. Mon Oct 31 07:47:24 2022 A5: 0
  16. Mon Oct 31 07:47:24 2022 A6: 392
  17. Mon Oct 31 07:47:24 2022 skew 0.48, size 2.400e-11, alpha -0.192, combined = 1.206e-12 rroots = 2
  18. Mon Oct 31 07:47:24 2022
  19. Mon Oct 31 07:47:24 2022 commencing relation filtering
  20. Mon Oct 31 07:47:24 2022 setting target matrix density to 130.0
  21. Mon Oct 31 07:47:24 2022 estimated available RAM is 63624.2 MB
  22. Mon Oct 31 07:47:24 2022 commencing duplicate removal, pass 1
  23. Mon Oct 31 08:05:33 2022 skipped 32 relations with b > 2^32
  24. Mon Oct 31 08:05:33 2022 found 5103602 hash collisions in 108195991 relations
  25. Mon Oct 31 08:05:56 2022 added 1218648 free relations
  26. Mon Oct 31 08:05:56 2022 commencing duplicate removal, pass 2
  27. Mon Oct 31 08:06:36 2022 found 1 duplicates and 109414638 unique relations
  28. Mon Oct 31 08:06:36 2022 memory use: 378.4 MB
  29. Mon Oct 31 08:06:36 2022 reading ideals above 720000
  30. Mon Oct 31 08:06:36 2022 commencing singleton removal, initial pass
  31. Mon Oct 31 08:23:40 2022 memory use: 2756.0 MB
  32. Mon Oct 31 08:23:40 2022 reading all ideals from disk
  33. Mon Oct 31 08:23:43 2022 memory use: 4100.4 MB
  34. Mon Oct 31 08:23:55 2022 keeping 92633016 ideals with weight <= 200, target excess is 570474
  35. Mon Oct 31 08:24:08 2022 commencing in-memory singleton removal
  36. Mon Oct 31 08:24:19 2022 begin with 109414638 relations and 92633016 unique ideals
  37. Mon Oct 31 08:26:01 2022 reduce to 77917857 relations and 58424437 ideals in 12 passes
  38. Mon Oct 31 08:26:01 2022 max relations containing the same ideal: 168
  39. Mon Oct 31 08:26:38 2022 removing 8015171 relations and 6015171 ideals in 2000000 cliques
  40. Mon Oct 31 08:26:44 2022 commencing in-memory singleton removal
  41. Mon Oct 31 08:26:52 2022 begin with 69902686 relations and 58424437 unique ideals
  42. Mon Oct 31 08:27:50 2022 reduce to 69238578 relations and 51724079 ideals in 8 passes
  43. Mon Oct 31 08:27:50 2022 max relations containing the same ideal: 155
  44. Mon Oct 31 08:28:23 2022 removing 6436749 relations and 4436749 ideals in 2000000 cliques
  45. Mon Oct 31 08:28:27 2022 commencing in-memory singleton removal
  46. Mon Oct 31 08:28:32 2022 begin with 62801829 relations and 51724079 unique ideals
  47. Mon Oct 31 08:29:17 2022 reduce to 62339535 relations and 46811649 ideals in 7 passes
  48. Mon Oct 31 08:29:17 2022 max relations containing the same ideal: 146
  49. Mon Oct 31 08:29:49 2022 removing 5997833 relations and 3997833 ideals in 2000000 cliques
  50. Mon Oct 31 08:29:52 2022 commencing in-memory singleton removal
  51. Mon Oct 31 08:29:57 2022 begin with 56341702 relations and 46811649 unique ideals
  52. Mon Oct 31 08:30:36 2022 reduce to 55927468 relations and 42387214 ideals in 6 passes
  53. Mon Oct 31 08:30:36 2022 max relations containing the same ideal: 134
  54. Mon Oct 31 08:31:03 2022 removing 5772219 relations and 3772219 ideals in 2000000 cliques
  55. Mon Oct 31 08:31:06 2022 commencing in-memory singleton removal
  56. Mon Oct 31 08:31:10 2022 begin with 50155249 relations and 42387214 unique ideals
  57. Mon Oct 31 08:31:45 2022 reduce to 49754671 relations and 38201698 ideals in 7 passes
  58. Mon Oct 31 08:31:45 2022 max relations containing the same ideal: 123
  59. Mon Oct 31 08:32:09 2022 removing 5637417 relations and 3637417 ideals in 2000000 cliques
  60. Mon Oct 31 08:32:12 2022 commencing in-memory singleton removal
  61. Mon Oct 31 08:32:15 2022 begin with 44117254 relations and 38201698 unique ideals
  62. Mon Oct 31 08:32:45 2022 reduce to 43710614 relations and 34143361 ideals in 7 passes
  63. Mon Oct 31 08:32:45 2022 max relations containing the same ideal: 115
  64. Mon Oct 31 08:33:08 2022 removing 5551180 relations and 3551180 ideals in 2000000 cliques
  65. Mon Oct 31 08:33:11 2022 commencing in-memory singleton removal
  66. Mon Oct 31 08:33:14 2022 begin with 38159434 relations and 34143361 unique ideals
  67. Mon Oct 31 08:33:39 2022 reduce to 37732952 relations and 30149205 ideals in 6 passes
  68. Mon Oct 31 08:33:39 2022 max relations containing the same ideal: 103
  69. Mon Oct 31 08:34:02 2022 removing 5490694 relations and 3490694 ideals in 2000000 cliques
  70. Mon Oct 31 08:34:05 2022 commencing in-memory singleton removal
  71. Mon Oct 31 08:34:08 2022 begin with 32242258 relations and 30149205 unique ideals
  72. Mon Oct 31 08:34:34 2022 reduce to 31777512 relations and 26173164 ideals in 8 passes
  73. Mon Oct 31 08:34:34 2022 max relations containing the same ideal: 94
  74. Mon Oct 31 08:34:50 2022 removing 5448708 relations and 3448708 ideals in 2000000 cliques
  75. Mon Oct 31 08:34:52 2022 commencing in-memory singleton removal
  76. Mon Oct 31 08:34:55 2022 begin with 26328804 relations and 26173164 unique ideals
  77. Mon Oct 31 08:35:13 2022 reduce to 25804603 relations and 22172696 ideals in 7 passes
  78. Mon Oct 31 08:35:13 2022 max relations containing the same ideal: 85
  79. Mon Oct 31 08:35:26 2022 removing 5416387 relations and 3416387 ideals in 2000000 cliques
  80. Mon Oct 31 08:35:28 2022 commencing in-memory singleton removal
  81. Mon Oct 31 08:35:29 2022 begin with 20388216 relations and 22172696 unique ideals
  82. Mon Oct 31 08:35:43 2022 reduce to 19754403 relations and 18081730 ideals in 8 passes
  83. Mon Oct 31 08:35:43 2022 max relations containing the same ideal: 71
  84. Mon Oct 31 08:35:53 2022 removing 3053374 relations and 2042451 ideals in 1010923 cliques
  85. Mon Oct 31 08:35:55 2022 commencing in-memory singleton removal
  86. Mon Oct 31 08:35:57 2022 begin with 16701029 relations and 18081730 unique ideals
  87. Mon Oct 31 08:36:09 2022 reduce to 16360663 relations and 15682921 ideals in 7 passes
  88. Mon Oct 31 08:36:09 2022 max relations containing the same ideal: 60
  89. Mon Oct 31 08:36:18 2022 removing 93412 relations and 77420 ideals in 15992 cliques
  90. Mon Oct 31 08:36:19 2022 commencing in-memory singleton removal
  91. Mon Oct 31 08:36:21 2022 begin with 16267251 relations and 15682921 unique ideals
  92. Mon Oct 31 08:36:27 2022 reduce to 16266834 relations and 15605084 ideals in 4 passes
  93. Mon Oct 31 08:36:27 2022 max relations containing the same ideal: 60
  94. Mon Oct 31 08:36:31 2022 relations with 0 large ideals: 21255
  95. Mon Oct 31 08:36:31 2022 relations with 1 large ideals: 15579
  96. Mon Oct 31 08:36:31 2022 relations with 2 large ideals: 174995
  97. Mon Oct 31 08:36:31 2022 relations with 3 large ideals: 924159
  98. Mon Oct 31 08:36:31 2022 relations with 4 large ideals: 2566670
  99. Mon Oct 31 08:36:31 2022 relations with 5 large ideals: 4167643
  100. Mon Oct 31 08:36:31 2022 relations with 6 large ideals: 4171012
  101. Mon Oct 31 08:36:31 2022 relations with 7+ large ideals: 4225521
  102. Mon Oct 31 08:36:31 2022 commencing 2-way merge
  103. Mon Oct 31 08:36:42 2022 reduce to 11100250 relation sets and 10438500 unique ideals
  104. Mon Oct 31 08:36:42 2022 commencing full merge
  105. Mon Oct 31 08:41:22 2022 memory use: 1355.3 MB
  106. Mon Oct 31 08:41:23 2022 found 4796661 cycles, need 4788700
  107. Mon Oct 31 08:41:25 2022 weight of 4788700 cycles is about 623128753 (130.12/cycle)
  108. Mon Oct 31 08:41:25 2022 distribution of cycle lengths:
  109. Mon Oct 31 08:41:25 2022 1 relations: 125690
  110. Mon Oct 31 08:41:25 2022 2 relations: 207877
  111. Mon Oct 31 08:41:25 2022 3 relations: 269989
  112. Mon Oct 31 08:41:25 2022 4 relations: 298575
  113. Mon Oct 31 08:41:25 2022 5 relations: 324459
  114. Mon Oct 31 08:41:25 2022 6 relations: 335482
  115. Mon Oct 31 08:41:25 2022 7 relations: 338565
  116. Mon Oct 31 08:41:25 2022 8 relations: 330740
  117. Mon Oct 31 08:41:25 2022 9 relations: 318561
  118. Mon Oct 31 08:41:25 2022 10+ relations: 2238762
  119. Mon Oct 31 08:41:25 2022 heaviest cycle: 28 relations
  120. Mon Oct 31 08:41:26 2022 commencing cycle optimization
  121. Mon Oct 31 08:41:37 2022 start with 47591152 relations
  122. Mon Oct 31 08:43:46 2022 pruned 2741186 relations
  123. Mon Oct 31 08:43:46 2022 memory use: 1160.7 MB
  124. Mon Oct 31 08:43:46 2022 distribution of cycle lengths:
  125. Mon Oct 31 08:43:46 2022 1 relations: 125690
  126. Mon Oct 31 08:43:46 2022 2 relations: 213706
  127. Mon Oct 31 08:43:46 2022 3 relations: 282748
  128. Mon Oct 31 08:43:46 2022 4 relations: 314097
  129. Mon Oct 31 08:43:46 2022 5 relations: 345064
  130. Mon Oct 31 08:43:46 2022 6 relations: 357039
  131. Mon Oct 31 08:43:46 2022 7 relations: 362836
  132. Mon Oct 31 08:43:46 2022 8 relations: 353983
  133. Mon Oct 31 08:43:46 2022 9 relations: 339923
  134. Mon Oct 31 08:43:46 2022 10+ relations: 2093614
  135. Mon Oct 31 08:43:46 2022 heaviest cycle: 28 relations
  136. Mon Oct 31 08:43:57 2022 RelProcTime: 3393
  137. Mon Oct 31 08:43:57 2022
  138. Mon Oct 31 08:43:57 2022 commencing linear algebra
  139. Mon Oct 31 08:43:57 2022 read 4788700 cycles
  140. Mon Oct 31 08:44:10 2022 cycles contain 15959383 unique relations
  141. Mon Oct 31 08:45:39 2022 read 15959383 relations
  142. Mon Oct 31 08:46:08 2022 using 20 quadratic characters above 4294917295
  143. Mon Oct 31 08:47:33 2022 building initial matrix
  144. Mon Oct 31 08:51:50 2022 memory use: 2061.8 MB
  145. Mon Oct 31 08:51:53 2022 read 4788700 cycles
  146. Mon Oct 31 08:51:54 2022 matrix is 4788523 x 4788700 (2377.7 MB) with weight 688236554 (143.72/col)
  147. Mon Oct 31 08:51:54 2022 sparse part has weight 570615119 (119.16/col)
  148. Mon Oct 31 08:52:57 2022 filtering completed in 2 passes
  149. Mon Oct 31 08:52:58 2022 matrix is 4788478 x 4788655 (2377.7 MB) with weight 688234845 (143.72/col)
  150. Mon Oct 31 08:52:58 2022 sparse part has weight 570614521 (119.16/col)
  151. Mon Oct 31 08:53:17 2022 matrix starts at (0, 0)
  152. Mon Oct 31 08:53:18 2022 matrix is 4788478 x 4788655 (2377.7 MB) with weight 688234845 (143.72/col)
  153. Mon Oct 31 08:53:18 2022 sparse part has weight 570614521 (119.16/col)
  154. Mon Oct 31 08:53:18 2022 saving the first 48 matrix rows for later
  155. Mon Oct 31 08:53:19 2022 matrix includes 64 packed rows
  156. Mon Oct 31 08:53:20 2022 matrix is 4788430 x 4788655 (2290.6 MB) with weight 595248002 (124.30/col)
  157. Mon Oct 31 08:53:20 2022 sparse part has weight 552574727 (115.39/col)
  158. Mon Oct 31 08:53:20 2022 using block size 8192 and superblock size 3514368 for processor cache size 36608 kB
  159. Mon Oct 31 08:53:37 2022 commencing Lanczos iteration (4 threads)
  160. Mon Oct 31 08:53:37 2022 memory use: 2157.0 MB
  161. Mon Oct 31 08:53:52 2022 linear algebra at 0.0%, ETA 13h 6m
  162. Mon Oct 31 08:53:57 2022 checkpointing every 370000 dimensions
  163. Tue Nov 1 00:38:05 2022 lanczos halted after 75727 iterations (dim = 4788426)
  164. Tue Nov 1 00:38:11 2022 recovered 32 nontrivial dependencies
  165. Tue Nov 1 00:38:11 2022 BLanczosTime: 57254
  166. Tue Nov 1 00:38:11 2022
  167. Tue Nov 1 00:38:11 2022 commencing square root phase
  168. Tue Nov 1 00:38:11 2022 handling dependencies 1 to 64
  169. Tue Nov 1 00:38:11 2022 reading relations for dependency 1
  170. Tue Nov 1 00:38:12 2022 read 2393326 cycles
  171. Tue Nov 1 00:38:17 2022 cycles contain 7980196 unique relations
  172. Tue Nov 1 00:39:04 2022 read 7980196 relations
  173. Tue Nov 1 00:39:45 2022 multiplying 7980196 relations
  174. Tue Nov 1 00:46:10 2022 multiply complete, coefficients have about 258.49 million bits
  175. Tue Nov 1 00:46:11 2022 initial square root is modulo 1889284753
  176. Tue Nov 1 00:54:50 2022 sqrtTime: 999
  177. Tue Nov 1 00:54:50 2022 p92 factor: 20567116986626157759210924916307317144391800130043218974389918047242591838251481245810581449
  178. Tue Nov 1 00:54:50 2022 p117 factor: 294928117538398650559051139871542878641976307103954856727121314143070651490659959129719597774747760805395765797516479
  179. Tue Nov 1 00:54:50 2022 elapsed time 17:07:28
  180.  
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