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Aug 1st, 2024
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  1. Thu Aug 1 10:01:43 2024
  2. Thu Aug 1 10:01:43 2024
  3. Thu Aug 1 10:01:43 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Aug 1 10:01:43 2024 random seeds: 96ce3994 c793f2aa
  5. Thu Aug 1 10:01:43 2024 factoring 123313028666063850561240846378782684191264894529410816894784563525275997092163238119144474009425322437408310311952238924006307238022410930758619684601289511542410865813092418448895833259155863566146623882932123 (210 digits)
  6. Thu Aug 1 10:01:44 2024 no P-1/P+1/ECM available, skipping
  7. Thu Aug 1 10:01:44 2024 commencing number field sieve (210-digit input)
  8. Thu Aug 1 10:01:44 2024 R0: 698514438451234776362685169567833037033
  9. Thu Aug 1 10:01:44 2024 R1: -1
  10. Thu Aug 1 10:01:44 2024 A0: 1
  11. Thu Aug 1 10:01:44 2024 A1: 1
  12. Thu Aug 1 10:01:44 2024 A2: 1
  13. Thu Aug 1 10:01:44 2024 A3: 1
  14. Thu Aug 1 10:01:44 2024 A4: 1
  15. Thu Aug 1 10:01:44 2024 A5: 1
  16. Thu Aug 1 10:01:44 2024 A6: 1
  17. Thu Aug 1 10:01:44 2024 skew 1.00, size 1.551e-11, alpha 2.428, combined = 8.786e-13 rroots = 0
  18. Thu Aug 1 10:01:44 2024
  19. Thu Aug 1 10:01:44 2024 commencing relation filtering
  20. Thu Aug 1 10:01:44 2024 setting target matrix density to 112.0
  21. Thu Aug 1 10:01:44 2024 estimated available RAM is 15960.0 MB
  22. Thu Aug 1 10:01:44 2024 commencing duplicate removal, pass 1
  23. Thu Aug 1 10:12:25 2024 skipped 10 relations with b > 2^32
  24. Thu Aug 1 10:12:25 2024 skipped 2 relations with composite factors
  25. Thu Aug 1 10:12:25 2024 found 4361983 hash collisions in 99795555 relations
  26. Thu Aug 1 10:12:32 2024 added 2438534 free relations
  27. Thu Aug 1 10:12:32 2024 commencing duplicate removal, pass 2
  28. Thu Aug 1 10:12:57 2024 found 0 duplicates and 102234089 unique relations
  29. Thu Aug 1 10:12:57 2024 memory use: 261.2 MB
  30. Thu Aug 1 10:12:57 2024 reading ideals above 81068032
  31. Thu Aug 1 10:12:57 2024 commencing singleton removal, initial pass
  32. Thu Aug 1 10:21:25 2024 memory use: 2756.0 MB
  33. Thu Aug 1 10:21:25 2024 reading all ideals from disk
  34. Thu Aug 1 10:21:27 2024 memory use: 1825.3 MB
  35. Thu Aug 1 10:21:30 2024 commencing in-memory singleton removal
  36. Thu Aug 1 10:21:33 2024 begin with 102234089 relations and 83530993 unique ideals
  37. Thu Aug 1 10:22:10 2024 reduce to 69536601 relations and 47700813 ideals in 14 passes
  38. Thu Aug 1 10:22:10 2024 max relations containing the same ideal: 43
  39. Thu Aug 1 10:22:14 2024 reading ideals above 720000
  40. Thu Aug 1 10:22:14 2024 commencing singleton removal, initial pass
  41. Thu Aug 1 10:29:29 2024 memory use: 1506.0 MB
  42. Thu Aug 1 10:29:29 2024 reading all ideals from disk
  43. Thu Aug 1 10:29:35 2024 memory use: 2635.4 MB
  44. Thu Aug 1 10:29:41 2024 keeping 56806762 ideals with weight <= 200, target excess is 350144
  45. Thu Aug 1 10:29:47 2024 commencing in-memory singleton removal
  46. Thu Aug 1 10:29:52 2024 begin with 69536601 relations and 56806762 unique ideals
  47. Thu Aug 1 10:30:07 2024 reduce to 69536221 relations and 56806382 ideals in 3 passes
  48. Thu Aug 1 10:30:07 2024 max relations containing the same ideal: 200
  49. Thu Aug 1 10:30:34 2024 removing 8709579 relations and 6709579 ideals in 2000000 cliques
  50. Thu Aug 1 10:30:36 2024 commencing in-memory singleton removal
  51. Thu Aug 1 10:30:41 2024 begin with 60826642 relations and 56806382 unique ideals
  52. Thu Aug 1 10:31:15 2024 reduce to 59832487 relations and 49066002 ideals in 8 passes
  53. Thu Aug 1 10:31:15 2024 max relations containing the same ideal: 189
  54. Thu Aug 1 10:31:38 2024 removing 7085110 relations and 5085110 ideals in 2000000 cliques
  55. Thu Aug 1 10:31:41 2024 commencing in-memory singleton removal
  56. Thu Aug 1 10:31:45 2024 begin with 52747377 relations and 49066002 unique ideals
  57. Thu Aug 1 10:32:13 2024 reduce to 52030164 relations and 43239053 ideals in 8 passes
  58. Thu Aug 1 10:32:13 2024 max relations containing the same ideal: 175
  59. Thu Aug 1 10:32:34 2024 removing 6619096 relations and 4619096 ideals in 2000000 cliques
  60. Thu Aug 1 10:32:36 2024 commencing in-memory singleton removal
  61. Thu Aug 1 10:32:40 2024 begin with 45411068 relations and 43239053 unique ideals
  62. Thu Aug 1 10:33:01 2024 reduce to 44725756 relations and 37909486 ideals in 7 passes
  63. Thu Aug 1 10:33:01 2024 max relations containing the same ideal: 160
  64. Thu Aug 1 10:33:19 2024 removing 6410903 relations and 4410903 ideals in 2000000 cliques
  65. Thu Aug 1 10:33:21 2024 commencing in-memory singleton removal
  66. Thu Aug 1 10:33:24 2024 begin with 38314853 relations and 37909486 unique ideals
  67. Thu Aug 1 10:33:41 2024 reduce to 37601927 relations and 32756055 ideals in 7 passes
  68. Thu Aug 1 10:33:41 2024 max relations containing the same ideal: 146
  69. Thu Aug 1 10:33:57 2024 removing 6302444 relations and 4302444 ideals in 2000000 cliques
  70. Thu Aug 1 10:33:59 2024 commencing in-memory singleton removal
  71. Thu Aug 1 10:34:01 2024 begin with 31299483 relations and 32756055 unique ideals
  72. Thu Aug 1 10:34:17 2024 reduce to 30512205 relations and 27628187 ideals in 8 passes
  73. Thu Aug 1 10:34:17 2024 max relations containing the same ideal: 127
  74. Thu Aug 1 10:34:29 2024 removing 6237732 relations and 4237732 ideals in 2000000 cliques
  75. Thu Aug 1 10:34:31 2024 commencing in-memory singleton removal
  76. Thu Aug 1 10:34:33 2024 begin with 24274473 relations and 27628187 unique ideals
  77. Thu Aug 1 10:34:46 2024 reduce to 23358856 relations and 22420170 ideals in 9 passes
  78. Thu Aug 1 10:34:46 2024 max relations containing the same ideal: 104
  79. Thu Aug 1 10:34:56 2024 removing 2189629 relations and 1657111 ideals in 532518 cliques
  80. Thu Aug 1 10:34:57 2024 commencing in-memory singleton removal
  81. Thu Aug 1 10:34:59 2024 begin with 21169227 relations and 22420170 unique ideals
  82. Thu Aug 1 10:35:09 2024 reduce to 21010515 relations and 20600953 ideals in 8 passes
  83. Thu Aug 1 10:35:09 2024 max relations containing the same ideal: 99
  84. Thu Aug 1 10:35:21 2024 relations with 0 large ideals: 25841
  85. Thu Aug 1 10:35:21 2024 relations with 1 large ideals: 5823
  86. Thu Aug 1 10:35:21 2024 relations with 2 large ideals: 43443
  87. Thu Aug 1 10:35:21 2024 relations with 3 large ideals: 325310
  88. Thu Aug 1 10:35:21 2024 relations with 4 large ideals: 1353778
  89. Thu Aug 1 10:35:21 2024 relations with 5 large ideals: 3377838
  90. Thu Aug 1 10:35:21 2024 relations with 6 large ideals: 5261859
  91. Thu Aug 1 10:35:21 2024 relations with 7+ large ideals: 10616623
  92. Thu Aug 1 10:35:21 2024 commencing 2-way merge
  93. Thu Aug 1 10:35:33 2024 reduce to 13977515 relation sets and 13567953 unique ideals
  94. Thu Aug 1 10:35:33 2024 commencing full merge
  95. Thu Aug 1 10:40:27 2024 memory use: 1922.3 MB
  96. Thu Aug 1 10:40:28 2024 found 6416303 cycles, need 6410153
  97. Thu Aug 1 10:40:30 2024 weight of 6410153 cycles is about 718416124 (112.07/cycle)
  98. Thu Aug 1 10:40:30 2024 distribution of cycle lengths:
  99. Thu Aug 1 10:40:30 2024 1 relations: 302436
  100. Thu Aug 1 10:40:30 2024 2 relations: 405087
  101. Thu Aug 1 10:40:30 2024 3 relations: 471013
  102. Thu Aug 1 10:40:30 2024 4 relations: 479679
  103. Thu Aug 1 10:40:30 2024 5 relations: 486135
  104. Thu Aug 1 10:40:30 2024 6 relations: 472562
  105. Thu Aug 1 10:40:30 2024 7 relations: 459838
  106. Thu Aug 1 10:40:30 2024 8 relations: 435766
  107. Thu Aug 1 10:40:30 2024 9 relations: 405572
  108. Thu Aug 1 10:40:30 2024 10+ relations: 2492065
  109. Thu Aug 1 10:40:30 2024 heaviest cycle: 28 relations
  110. Thu Aug 1 10:40:32 2024 commencing cycle optimization
  111. Thu Aug 1 10:40:42 2024 start with 56221968 relations
  112. Thu Aug 1 10:42:34 2024 pruned 2579224 relations
  113. Thu Aug 1 10:42:34 2024 memory use: 1454.7 MB
  114. Thu Aug 1 10:42:34 2024 distribution of cycle lengths:
  115. Thu Aug 1 10:42:34 2024 1 relations: 302436
  116. Thu Aug 1 10:42:34 2024 2 relations: 414057
  117. Thu Aug 1 10:42:34 2024 3 relations: 489272
  118. Thu Aug 1 10:42:34 2024 4 relations: 499021
  119. Thu Aug 1 10:42:34 2024 5 relations: 509658
  120. Thu Aug 1 10:42:34 2024 6 relations: 495174
  121. Thu Aug 1 10:42:34 2024 7 relations: 483350
  122. Thu Aug 1 10:42:34 2024 8 relations: 456156
  123. Thu Aug 1 10:42:34 2024 9 relations: 423392
  124. Thu Aug 1 10:42:34 2024 10+ relations: 2337637
  125. Thu Aug 1 10:42:34 2024 heaviest cycle: 28 relations
  126. Thu Aug 1 10:42:44 2024 RelProcTime: 2460
  127. Thu Aug 1 10:42:44 2024
  128. Thu Aug 1 10:42:44 2024 commencing linear algebra
  129. Thu Aug 1 10:42:44 2024 using VBITS=512
  130. Thu Aug 1 10:42:45 2024 read 6410153 cycles
  131. Thu Aug 1 10:42:57 2024 cycles contain 20766242 unique relations
  132. Thu Aug 1 10:44:30 2024 read 20766242 relations
  133. Thu Aug 1 10:44:58 2024 using 20 quadratic characters above 4294917295
  134. Thu Aug 1 10:46:18 2024 building initial matrix
  135. Thu Aug 1 10:50:06 2024 memory use: 2580.1 MB
  136. Thu Aug 1 10:50:08 2024 read 6410153 cycles
  137. Thu Aug 1 10:50:09 2024 matrix is 6409976 x 6410153 (2833.9 MB) with weight 807505432 (125.97/col)
  138. Thu Aug 1 10:50:09 2024 sparse part has weight 672376075 (104.89/col)
  139. Thu Aug 1 10:51:17 2024 filtering completed in 2 passes
  140. Thu Aug 1 10:51:18 2024 matrix is 6409921 x 6410063 (2833.9 MB) with weight 807503129 (125.97/col)
  141. Thu Aug 1 10:51:18 2024 sparse part has weight 672375420 (104.89/col)
  142. Thu Aug 1 10:51:33 2024 matrix starts at (0, 0)
  143. Thu Aug 1 10:51:34 2024 matrix is 6409921 x 6410063 (2833.9 MB) with weight 807503129 (125.97/col)
  144. Thu Aug 1 10:51:34 2024 sparse part has weight 672375420 (104.89/col)
  145. Thu Aug 1 10:51:34 2024 saving the first 496 matrix rows for later
  146. Thu Aug 1 10:51:35 2024 matrix includes 512 packed rows
  147. Thu Aug 1 10:51:39 2024 matrix is 6409425 x 6410063 (2672.9 MB) with weight 578019194 (90.17/col)
  148. Thu Aug 1 10:51:39 2024 sparse part has weight 546844531 (85.31/col)
  149. Thu Aug 1 10:51:39 2024 using GPU 0 (NVIDIA GeForce RTX 3060)
  150. Thu Aug 1 10:51:39 2024 selected card has CUDA arch 8.6
  151. Thu Aug 1 10:52:15 2024 commencing Lanczos iteration
  152. Thu Aug 1 10:52:16 2024 memory use: 7399.8 MB
  153. Thu Aug 1 10:52:39 2024 linear algebra at 0.2%, ETA 2h39m
  154. Thu Aug 1 10:52:39 2024 checkpointing every 2490000 dimensions
  155. Thu Aug 1 13:42:48 2024 lanczos halted after 12539 iterations (dim = 6409419)
  156. Thu Aug 1 13:43:47 2024 recovered 35 nontrivial dependencies
  157. Thu Aug 1 13:43:47 2024 BLanczosTime: 10863
  158. Thu Aug 1 13:43:47 2024
  159. Thu Aug 1 13:43:47 2024 commencing square root phase
  160. Thu Aug 1 13:43:47 2024 handling dependencies 1 to 64
  161. Thu Aug 1 13:43:47 2024 reading relations for dependency 1
  162. Thu Aug 1 13:43:48 2024 read 3203252 cycles
  163. Thu Aug 1 13:43:54 2024 cycles contain 10380082 unique relations
  164. Thu Aug 1 13:44:44 2024 read 10380082 relations
  165. Thu Aug 1 13:45:19 2024 multiplying 10380082 relations
  166. Thu Aug 1 13:50:04 2024 multiply complete, coefficients have about 254.37 million bits
  167. Thu Aug 1 13:50:05 2024 initial square root is modulo 1344356471
  168. Thu Aug 1 13:55:27 2024 GCD is N, no factor found
  169. Thu Aug 1 13:55:27 2024 reading relations for dependency 2
  170. Thu Aug 1 13:55:28 2024 read 3204334 cycles
  171. Thu Aug 1 13:55:34 2024 cycles contain 10377014 unique relations
  172. Thu Aug 1 13:56:24 2024 read 10377014 relations
  173. Thu Aug 1 13:57:02 2024 multiplying 10377014 relations
  174. Thu Aug 1 14:01:45 2024 multiply complete, coefficients have about 254.29 million bits
  175. Thu Aug 1 14:01:46 2024 initial square root is modulo 1336183957
  176. Thu Aug 1 14:07:08 2024 sqrtTime: 1401
  177. Thu Aug 1 14:07:08 2024 p82 factor: 5487104737872668264411924933996378646871156210623712487805236454681300641650461223
  178. Thu Aug 1 14:07:08 2024 p128 factor: 22473241273297052084967750443595863935806675800663094157116384557570143975020021625721051347060924573295863662982926116399848301
  179. Thu Aug 1 14:07:08 2024 elapsed time 04:05:25
  180.  
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