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Jul 26th, 2024
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  1. Fri Jul 26 09:42:43 2024
  2. Fri Jul 26 09:42:43 2024
  3. Fri Jul 26 09:42:43 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Jul 26 09:42:43 2024 random seeds: 0758bd41 8204f087
  5. Fri Jul 26 09:42:43 2024 factoring 24669277176665892195455530059516179921567828306481376677958837191539164399270287554246387296845863852186385070719026151694876876885779671680935972873483834456837571607776114693958194655012300071470810169 (203 digits)
  6. Fri Jul 26 09:42:43 2024 no P-1/P+1/ECM available, skipping
  7. Fri Jul 26 09:42:43 2024 commencing number field sieve (203-digit input)
  8. Fri Jul 26 09:42:43 2024 R0: 1164567199413020763479999952155253861601
  9. Fri Jul 26 09:42:43 2024 R1: -1
  10. Fri Jul 26 09:42:43 2024 A0: -1801
  11. Fri Jul 26 09:42:43 2024 A1: 0
  12. Fri Jul 26 09:42:43 2024 A2: 0
  13. Fri Jul 26 09:42:43 2024 A3: 0
  14. Fri Jul 26 09:42:43 2024 A4: 0
  15. Fri Jul 26 09:42:43 2024 A5: 0
  16. Fri Jul 26 09:42:43 2024 A6: 1
  17. Fri Jul 26 09:42:43 2024 skew 4.47, size 1.239e-11, alpha 0.004, combined = 7.514e-13 rroots = 2
  18. Fri Jul 26 09:42:43 2024
  19. Fri Jul 26 09:42:43 2024 commencing relation filtering
  20. Fri Jul 26 09:42:43 2024 setting target matrix density to 112.0
  21. Fri Jul 26 09:42:43 2024 estimated available RAM is 15960.0 MB
  22. Fri Jul 26 09:42:43 2024 commencing duplicate removal, pass 1
  23. Fri Jul 26 09:53:12 2024 skipped 1 relations with b > 2^32
  24. Fri Jul 26 09:53:12 2024 skipped 4 relations with composite factors
  25. Fri Jul 26 09:53:12 2024 found 4443695 hash collisions in 100735826 relations
  26. Fri Jul 26 09:53:26 2024 added 1218651 free relations
  27. Fri Jul 26 09:53:26 2024 commencing duplicate removal, pass 2
  28. Fri Jul 26 09:53:54 2024 found 0 duplicates and 101954477 unique relations
  29. Fri Jul 26 09:53:54 2024 memory use: 261.2 MB
  30. Fri Jul 26 09:53:54 2024 reading ideals above 75956224
  31. Fri Jul 26 09:53:54 2024 commencing singleton removal, initial pass
  32. Fri Jul 26 10:01:45 2024 memory use: 2756.0 MB
  33. Fri Jul 26 10:01:45 2024 reading all ideals from disk
  34. Fri Jul 26 10:01:49 2024 memory use: 1879.5 MB
  35. Fri Jul 26 10:01:52 2024 commencing in-memory singleton removal
  36. Fri Jul 26 10:01:56 2024 begin with 101954477 relations and 83992030 unique ideals
  37. Fri Jul 26 10:02:31 2024 reduce to 69057341 relations and 47975453 ideals in 13 passes
  38. Fri Jul 26 10:02:31 2024 max relations containing the same ideal: 44
  39. Fri Jul 26 10:02:34 2024 reading ideals above 720000
  40. Fri Jul 26 10:02:35 2024 commencing singleton removal, initial pass
  41. Fri Jul 26 10:09:51 2024 memory use: 1506.0 MB
  42. Fri Jul 26 10:09:51 2024 reading all ideals from disk
  43. Fri Jul 26 10:09:57 2024 memory use: 2621.7 MB
  44. Fri Jul 26 10:10:03 2024 keeping 56512780 ideals with weight <= 200, target excess is 353859
  45. Fri Jul 26 10:10:10 2024 commencing in-memory singleton removal
  46. Fri Jul 26 10:10:15 2024 begin with 69057342 relations and 56512780 unique ideals
  47. Fri Jul 26 10:10:40 2024 reduce to 69056143 relations and 56511581 ideals in 5 passes
  48. Fri Jul 26 10:10:40 2024 max relations containing the same ideal: 200
  49. Fri Jul 26 10:11:10 2024 removing 8796167 relations and 6796167 ideals in 2000000 cliques
  50. Fri Jul 26 10:11:13 2024 commencing in-memory singleton removal
  51. Fri Jul 26 10:11:18 2024 begin with 60259976 relations and 56511581 unique ideals
  52. Fri Jul 26 10:11:52 2024 reduce to 59295960 relations and 48716067 ideals in 8 passes
  53. Fri Jul 26 10:11:52 2024 max relations containing the same ideal: 190
  54. Fri Jul 26 10:12:18 2024 removing 7079291 relations and 5079291 ideals in 2000000 cliques
  55. Fri Jul 26 10:12:20 2024 commencing in-memory singleton removal
  56. Fri Jul 26 10:12:24 2024 begin with 52216669 relations and 48716067 unique ideals
  57. Fri Jul 26 10:12:54 2024 reduce to 51522000 relations and 42918519 ideals in 8 passes
  58. Fri Jul 26 10:12:54 2024 max relations containing the same ideal: 175
  59. Fri Jul 26 10:13:16 2024 removing 6599441 relations and 4599441 ideals in 2000000 cliques
  60. Fri Jul 26 10:13:19 2024 commencing in-memory singleton removal
  61. Fri Jul 26 10:13:22 2024 begin with 44922559 relations and 42918519 unique ideals
  62. Fri Jul 26 10:13:44 2024 reduce to 44263752 relations and 37636146 ideals in 7 passes
  63. Fri Jul 26 10:13:44 2024 max relations containing the same ideal: 159
  64. Fri Jul 26 10:14:04 2024 removing 6376709 relations and 4376709 ideals in 2000000 cliques
  65. Fri Jul 26 10:14:06 2024 commencing in-memory singleton removal
  66. Fri Jul 26 10:14:09 2024 begin with 37887043 relations and 37636146 unique ideals
  67. Fri Jul 26 10:14:32 2024 reduce to 37208287 relations and 32552823 ideals in 9 passes
  68. Fri Jul 26 10:14:32 2024 max relations containing the same ideal: 142
  69. Fri Jul 26 10:14:47 2024 removing 6249935 relations and 4249935 ideals in 2000000 cliques
  70. Fri Jul 26 10:14:49 2024 commencing in-memory singleton removal
  71. Fri Jul 26 10:14:51 2024 begin with 30958352 relations and 32552823 unique ideals
  72. Fri Jul 26 10:15:05 2024 reduce to 30223367 relations and 27532367 ideals in 7 passes
  73. Fri Jul 26 10:15:05 2024 max relations containing the same ideal: 123
  74. Fri Jul 26 10:15:18 2024 removing 6154598 relations and 4154598 ideals in 2000000 cliques
  75. Fri Jul 26 10:15:20 2024 commencing in-memory singleton removal
  76. Fri Jul 26 10:15:21 2024 begin with 24068769 relations and 27532367 unique ideals
  77. Fri Jul 26 10:15:34 2024 reduce to 23219113 relations and 22477727 ideals in 8 passes
  78. Fri Jul 26 10:15:34 2024 max relations containing the same ideal: 104
  79. Fri Jul 26 10:15:43 2024 removing 1469539 relations and 1138630 ideals in 330909 cliques
  80. Fri Jul 26 10:15:44 2024 commencing in-memory singleton removal
  81. Fri Jul 26 10:15:46 2024 begin with 21749574 relations and 22477727 unique ideals
  82. Fri Jul 26 10:15:54 2024 reduce to 21681887 relations and 21270460 ideals in 6 passes
  83. Fri Jul 26 10:15:54 2024 max relations containing the same ideal: 99
  84. Fri Jul 26 10:16:07 2024 relations with 0 large ideals: 12900
  85. Fri Jul 26 10:16:07 2024 relations with 1 large ideals: 4358
  86. Fri Jul 26 10:16:07 2024 relations with 2 large ideals: 45627
  87. Fri Jul 26 10:16:07 2024 relations with 3 large ideals: 346390
  88. Fri Jul 26 10:16:07 2024 relations with 4 large ideals: 1436131
  89. Fri Jul 26 10:16:07 2024 relations with 5 large ideals: 3565220
  90. Fri Jul 26 10:16:07 2024 relations with 6 large ideals: 5527717
  91. Fri Jul 26 10:16:07 2024 relations with 7+ large ideals: 10743544
  92. Fri Jul 26 10:16:07 2024 commencing 2-way merge
  93. Fri Jul 26 10:16:20 2024 reduce to 14530795 relation sets and 14119368 unique ideals
  94. Fri Jul 26 10:16:20 2024 commencing full merge
  95. Fri Jul 26 10:21:37 2024 memory use: 1903.3 MB
  96. Fri Jul 26 10:21:38 2024 found 6683969 cycles, need 6659568
  97. Fri Jul 26 10:21:40 2024 weight of 6659568 cycles is about 746399780 (112.08/cycle)
  98. Fri Jul 26 10:21:40 2024 distribution of cycle lengths:
  99. Fri Jul 26 10:21:40 2024 1 relations: 261607
  100. Fri Jul 26 10:21:40 2024 2 relations: 416728
  101. Fri Jul 26 10:21:40 2024 3 relations: 501896
  102. Fri Jul 26 10:21:40 2024 4 relations: 522167
  103. Fri Jul 26 10:21:40 2024 5 relations: 535950
  104. Fri Jul 26 10:21:40 2024 6 relations: 524854
  105. Fri Jul 26 10:21:40 2024 7 relations: 507327
  106. Fri Jul 26 10:21:40 2024 8 relations: 476498
  107. Fri Jul 26 10:21:40 2024 9 relations: 441201
  108. Fri Jul 26 10:21:40 2024 10+ relations: 2471340
  109. Fri Jul 26 10:21:40 2024 heaviest cycle: 28 relations
  110. Fri Jul 26 10:21:42 2024 commencing cycle optimization
  111. Fri Jul 26 10:21:53 2024 start with 56698948 relations
  112. Fri Jul 26 10:23:48 2024 pruned 2609134 relations
  113. Fri Jul 26 10:23:48 2024 memory use: 1490.7 MB
  114. Fri Jul 26 10:23:48 2024 distribution of cycle lengths:
  115. Fri Jul 26 10:23:48 2024 1 relations: 261607
  116. Fri Jul 26 10:23:48 2024 2 relations: 427555
  117. Fri Jul 26 10:23:48 2024 3 relations: 524275
  118. Fri Jul 26 10:23:48 2024 4 relations: 545301
  119. Fri Jul 26 10:23:48 2024 5 relations: 563520
  120. Fri Jul 26 10:23:48 2024 6 relations: 550921
  121. Fri Jul 26 10:23:48 2024 7 relations: 533190
  122. Fri Jul 26 10:23:48 2024 8 relations: 497577
  123. Fri Jul 26 10:23:48 2024 9 relations: 459476
  124. Fri Jul 26 10:23:48 2024 10+ relations: 2296146
  125. Fri Jul 26 10:23:48 2024 heaviest cycle: 28 relations
  126. Fri Jul 26 10:24:00 2024 RelProcTime: 2477
  127. Fri Jul 26 10:24:00 2024
  128. Fri Jul 26 10:24:00 2024 commencing linear algebra
  129. Fri Jul 26 10:24:00 2024 using VBITS=512
  130. Fri Jul 26 10:24:01 2024 read 6659568 cycles
  131. Fri Jul 26 10:24:12 2024 cycles contain 21462708 unique relations
  132. Fri Jul 26 10:25:40 2024 read 21462708 relations
  133. Fri Jul 26 10:26:15 2024 using 20 quadratic characters above 4294917295
  134. Fri Jul 26 10:27:40 2024 building initial matrix
  135. Fri Jul 26 10:32:00 2024 memory use: 2721.6 MB
  136. Fri Jul 26 10:32:03 2024 read 6659568 cycles
  137. Fri Jul 26 10:32:04 2024 matrix is 6659391 x 6659568 (2937.9 MB) with weight 844954299 (126.88/col)
  138. Fri Jul 26 10:32:04 2024 sparse part has weight 696906091 (104.65/col)
  139. Fri Jul 26 10:33:16 2024 filtering completed in 2 passes
  140. Fri Jul 26 10:33:17 2024 matrix is 6659279 x 6659441 (2937.9 MB) with weight 844950102 (126.88/col)
  141. Fri Jul 26 10:33:17 2024 sparse part has weight 696904462 (104.65/col)
  142. Fri Jul 26 10:33:34 2024 matrix starts at (0, 0)
  143. Fri Jul 26 10:33:34 2024 matrix is 6659279 x 6659441 (2937.9 MB) with weight 844950102 (126.88/col)
  144. Fri Jul 26 10:33:34 2024 sparse part has weight 696904462 (104.65/col)
  145. Fri Jul 26 10:33:34 2024 saving the first 496 matrix rows for later
  146. Fri Jul 26 10:33:36 2024 matrix includes 512 packed rows
  147. Fri Jul 26 10:33:40 2024 matrix is 6658783 x 6659441 (2767.0 MB) with weight 598447543 (89.86/col)
  148. Fri Jul 26 10:33:40 2024 sparse part has weight 565524840 (84.92/col)
  149. Fri Jul 26 10:33:41 2024 using GPU 0 (NVIDIA GeForce RTX 3060)
  150. Fri Jul 26 10:33:41 2024 selected card has CUDA arch 8.6
  151. Fri Jul 26 10:34:18 2024 commencing Lanczos iteration
  152. Fri Jul 26 10:34:19 2024 memory use: 7667.9 MB
  153. Fri Jul 26 10:35:10 2024 linear algebra at 0.2%, ETA 6h 1m
  154. Fri Jul 26 10:35:12 2024 checkpointing every 1100000 dimensions
  155. Fri Jul 26 13:40:33 2024 lanczos halted after 13026 iterations (dim = 6658774)
  156. Fri Jul 26 13:41:56 2024 recovered 27 nontrivial dependencies
  157. Fri Jul 26 13:41:56 2024 BLanczosTime: 11876
  158. Fri Jul 26 13:41:56 2024
  159. Fri Jul 26 13:41:56 2024 commencing square root phase
  160. Fri Jul 26 13:41:56 2024 handling dependencies 1 to 64
  161. Fri Jul 26 13:41:56 2024 reading relations for dependency 1
  162. Fri Jul 26 13:41:58 2024 read 3330903 cycles
  163. Fri Jul 26 13:42:03 2024 cycles contain 10736690 unique relations
  164. Fri Jul 26 13:42:51 2024 read 10736690 relations
  165. Fri Jul 26 13:43:32 2024 multiplying 10736690 relations
  166. Fri Jul 26 13:49:16 2024 multiply complete, coefficients have about 273.31 million bits
  167. Fri Jul 26 13:49:17 2024 initial square root is modulo 80233
  168. Fri Jul 26 13:55:47 2024 GCD is N, no factor found
  169. Fri Jul 26 13:55:47 2024 reading relations for dependency 2
  170. Fri Jul 26 13:55:48 2024 read 3330383 cycles
  171. Fri Jul 26 13:55:53 2024 cycles contain 10731052 unique relations
  172. Fri Jul 26 13:56:40 2024 read 10731052 relations
  173. Fri Jul 26 13:57:22 2024 multiplying 10731052 relations
  174. Fri Jul 26 14:03:06 2024 multiply complete, coefficients have about 273.17 million bits
  175. Fri Jul 26 14:03:07 2024 initial square root is modulo 79801
  176. Fri Jul 26 14:09:38 2024 GCD is N, no factor found
  177. Fri Jul 26 14:09:38 2024 reading relations for dependency 3
  178. Fri Jul 26 14:09:39 2024 read 3330545 cycles
  179. Fri Jul 26 14:09:45 2024 cycles contain 10733134 unique relations
  180. Fri Jul 26 14:10:32 2024 read 10733134 relations
  181. Fri Jul 26 14:11:14 2024 multiplying 10733134 relations
  182. Fri Jul 26 14:16:58 2024 multiply complete, coefficients have about 273.21 million bits
  183. Fri Jul 26 14:16:59 2024 initial square root is modulo 79903
  184. Fri Jul 26 14:23:39 2024 GCD is 1, no factor found
  185. Fri Jul 26 14:23:39 2024 reading relations for dependency 4
  186. Fri Jul 26 14:23:40 2024 read 3329186 cycles
  187. Fri Jul 26 14:23:45 2024 cycles contain 10734096 unique relations
  188. Fri Jul 26 14:24:33 2024 read 10734096 relations
  189. Fri Jul 26 14:25:20 2024 multiplying 10734096 relations
  190. Fri Jul 26 14:31:10 2024 multiply complete, coefficients have about 273.24 million bits
  191. Fri Jul 26 14:31:11 2024 initial square root is modulo 80191
  192. Fri Jul 26 14:37:41 2024 sqrtTime: 3345
  193. Fri Jul 26 14:37:41 2024 p67 factor: 2344849457482807549816051710584958928091179246859861079697249895947
  194. Fri Jul 26 14:37:41 2024 p137 factor: 10520623018224941838339940451638879658740500070646919050756454094353459081957708460517175682512338263791010951603425572486543261203946827
  195. Fri Jul 26 14:37:41 2024 elapsed time 04:54:58
  196.  
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