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Apr 24th, 2023
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  1. Mon Apr 24 10:29:11 2023 Msieve v. 1.54 (SVN 03e8738)
  2. Mon Apr 24 10:29:11 2023 random seeds: 41b97589 9b40c405
  3. Mon Apr 24 10:29:11 2023 Using 16 OpenMP threads
  4. Mon Apr 24 10:29:11 2023 factoring 4640017654909399602652811922443598320790507862715171330763573959015816246588859150066932434236710954439582802698362471404507189085452589324159412380467544752753857113893050254399061844317808264919245853755803352305389555373844775677 (232 digits)
  5. Mon Apr 24 10:29:11 2023 no P-1/P+1/ECM available, skipping
  6. Mon Apr 24 10:29:11 2023 commencing number field sieve (232-digit input)
  7. Mon Apr 24 10:29:11 2023 R0: 542959721329801227265901721383098064158325557250
  8. Mon Apr 24 10:29:11 2023 R1: -736858006219516642679807
  9. Mon Apr 24 10:29:11 2023 A0: 1
  10. Mon Apr 24 10:29:11 2023 A1: 3
  11. Mon Apr 24 10:29:11 2023 A2: -3
  12. Mon Apr 24 10:29:11 2023 A3: -4
  13. Mon Apr 24 10:29:11 2023 A4: 1
  14. Mon Apr 24 10:29:11 2023 A5: 1
  15. Mon Apr 24 10:29:11 2023 skew 1.00, size 3.118e-16, alpha 2.379, combined = 4.332e-13 rroots = 5
  16. Mon Apr 24 10:29:11 2023
  17. Mon Apr 24 10:29:11 2023 commencing relation filtering
  18. Mon Apr 24 10:29:11 2023 setting target matrix density to 110.0
  19. Mon Apr 24 10:29:11 2023 estimated available RAM is 64238.6 MB
  20. Mon Apr 24 10:29:11 2023 commencing duplicate removal, pass 1
  21. Mon Apr 24 10:30:37 2023 skipped 92 relations with b > 2^32
  22. Mon Apr 24 10:30:37 2023 skipped 1 malformed relations
  23. Mon Apr 24 10:30:37 2023 found 6749571 hash collisions in 125051920 relations
  24. Mon Apr 24 10:30:41 2023 added 2926300 free relations
  25. Mon Apr 24 10:30:41 2023 commencing duplicate removal, pass 2
  26. Mon Apr 24 10:31:02 2023 found 0 duplicates and 127978220 unique relations
  27. Mon Apr 24 10:31:02 2023 memory use: 426.4 MB
  28. Mon Apr 24 10:31:02 2023 reading ideals above 720000
  29. Mon Apr 24 10:31:02 2023 commencing singleton removal, initial pass
  30. Mon Apr 24 10:34:53 2023 memory use: 2756.0 MB
  31. Mon Apr 24 10:34:53 2023 reading all ideals from disk
  32. Mon Apr 24 10:34:54 2023 memory use: 5949.0 MB
  33. Mon Apr 24 10:34:59 2023 keeping 106383294 ideals with weight <= 200, target excess is 625450
  34. Mon Apr 24 10:35:05 2023 commencing in-memory singleton removal
  35. Mon Apr 24 10:35:07 2023 begin with 127978220 relations and 106383294 unique ideals
  36. Mon Apr 24 10:35:23 2023 reduce to 109628790 relations and 87436220 ideals in 15 passes
  37. Mon Apr 24 10:35:23 2023 max relations containing the same ideal: 189
  38. Mon Apr 24 10:35:41 2023 removing 9508412 relations and 7508412 ideals in 2000000 cliques
  39. Mon Apr 24 10:35:44 2023 commencing in-memory singleton removal
  40. Mon Apr 24 10:35:45 2023 begin with 100120378 relations and 87436220 unique ideals
  41. Mon Apr 24 10:35:52 2023 reduce to 99435685 relations and 79226905 ideals in 7 passes
  42. Mon Apr 24 10:35:52 2023 max relations containing the same ideal: 180
  43. Mon Apr 24 10:36:09 2023 removing 7394101 relations and 5394101 ideals in 2000000 cliques
  44. Mon Apr 24 10:36:11 2023 commencing in-memory singleton removal
  45. Mon Apr 24 10:36:12 2023 begin with 92041584 relations and 79226905 unique ideals
  46. Mon Apr 24 10:36:18 2023 reduce to 91574132 relations and 73355562 ideals in 7 passes
  47. Mon Apr 24 10:36:18 2023 max relations containing the same ideal: 169
  48. Mon Apr 24 10:36:33 2023 removing 6801081 relations and 4801081 ideals in 2000000 cliques
  49. Mon Apr 24 10:36:35 2023 commencing in-memory singleton removal
  50. Mon Apr 24 10:36:37 2023 begin with 84773051 relations and 73355562 unique ideals
  51. Mon Apr 24 10:36:42 2023 reduce to 84351752 relations and 68124335 ideals in 7 passes
  52. Mon Apr 24 10:36:42 2023 max relations containing the same ideal: 162
  53. Mon Apr 24 10:36:57 2023 removing 6524664 relations and 4524664 ideals in 2000000 cliques
  54. Mon Apr 24 10:36:59 2023 commencing in-memory singleton removal
  55. Mon Apr 24 10:37:00 2023 begin with 77827088 relations and 68124335 unique ideals
  56. Mon Apr 24 10:37:04 2023 reduce to 77417466 relations and 63181012 ideals in 7 passes
  57. Mon Apr 24 10:37:04 2023 max relations containing the same ideal: 156
  58. Mon Apr 24 10:37:18 2023 removing 6370046 relations and 4370046 ideals in 2000000 cliques
  59. Mon Apr 24 10:37:20 2023 commencing in-memory singleton removal
  60. Mon Apr 24 10:37:21 2023 begin with 71047420 relations and 63181012 unique ideals
  61. Mon Apr 24 10:37:25 2023 reduce to 70631690 relations and 58385306 ideals in 7 passes
  62. Mon Apr 24 10:37:25 2023 max relations containing the same ideal: 144
  63. Mon Apr 24 10:37:38 2023 removing 6284478 relations and 4284478 ideals in 2000000 cliques
  64. Mon Apr 24 10:37:39 2023 commencing in-memory singleton removal
  65. Mon Apr 24 10:37:40 2023 begin with 64347212 relations and 58385306 unique ideals
  66. Mon Apr 24 10:37:44 2023 reduce to 63910056 relations and 53652465 ideals in 7 passes
  67. Mon Apr 24 10:37:44 2023 max relations containing the same ideal: 134
  68. Mon Apr 24 10:37:56 2023 removing 6250818 relations and 4250818 ideals in 2000000 cliques
  69. Mon Apr 24 10:37:57 2023 commencing in-memory singleton removal
  70. Mon Apr 24 10:37:58 2023 begin with 57659238 relations and 53652465 unique ideals
  71. Mon Apr 24 10:38:02 2023 reduce to 57182322 relations and 48911383 ideals in 7 passes
  72. Mon Apr 24 10:38:02 2023 max relations containing the same ideal: 125
  73. Mon Apr 24 10:38:12 2023 removing 6265671 relations and 4265671 ideals in 2000000 cliques
  74. Mon Apr 24 10:38:14 2023 commencing in-memory singleton removal
  75. Mon Apr 24 10:38:14 2023 begin with 50916651 relations and 48911383 unique ideals
  76. Mon Apr 24 10:38:17 2023 reduce to 50382294 relations and 44094753 ideals in 7 passes
  77. Mon Apr 24 10:38:17 2023 max relations containing the same ideal: 115
  78. Mon Apr 24 10:38:27 2023 removing 6315460 relations and 4315460 ideals in 2000000 cliques
  79. Mon Apr 24 10:38:28 2023 commencing in-memory singleton removal
  80. Mon Apr 24 10:38:29 2023 begin with 44066834 relations and 44094753 unique ideals
  81. Mon Apr 24 10:38:32 2023 reduce to 43448827 relations and 39139913 ideals in 8 passes
  82. Mon Apr 24 10:38:32 2023 max relations containing the same ideal: 104
  83. Mon Apr 24 10:38:40 2023 removing 6402798 relations and 4402798 ideals in 2000000 cliques
  84. Mon Apr 24 10:38:42 2023 commencing in-memory singleton removal
  85. Mon Apr 24 10:38:42 2023 begin with 37046029 relations and 39139913 unique ideals
  86. Mon Apr 24 10:38:44 2023 reduce to 36301123 relations and 33961847 ideals in 8 passes
  87. Mon Apr 24 10:38:44 2023 max relations containing the same ideal: 91
  88. Mon Apr 24 10:38:52 2023 removing 5511494 relations and 3897741 ideals in 1613753 cliques
  89. Mon Apr 24 10:38:53 2023 commencing in-memory singleton removal
  90. Mon Apr 24 10:38:54 2023 begin with 30789629 relations and 33961847 unique ideals
  91. Mon Apr 24 10:38:55 2023 reduce to 30111857 relations and 29358978 ideals in 8 passes
  92. Mon Apr 24 10:38:55 2023 max relations containing the same ideal: 82
  93. Mon Apr 24 10:39:02 2023 removing 198873 relations and 171517 ideals in 27356 cliques
  94. Mon Apr 24 10:39:02 2023 commencing in-memory singleton removal
  95. Mon Apr 24 10:39:03 2023 begin with 29912984 relations and 29358978 unique ideals
  96. Mon Apr 24 10:39:04 2023 reduce to 29912068 relations and 29186545 ideals in 5 passes
  97. Mon Apr 24 10:39:04 2023 max relations containing the same ideal: 81
  98. Mon Apr 24 10:39:07 2023 relations with 0 large ideals: 50597
  99. Mon Apr 24 10:39:07 2023 relations with 1 large ideals: 9432
  100. Mon Apr 24 10:39:07 2023 relations with 2 large ideals: 117252
  101. Mon Apr 24 10:39:07 2023 relations with 3 large ideals: 773319
  102. Mon Apr 24 10:39:07 2023 relations with 4 large ideals: 2775366
  103. Mon Apr 24 10:39:07 2023 relations with 5 large ideals: 5945051
  104. Mon Apr 24 10:39:07 2023 relations with 6 large ideals: 8954544
  105. Mon Apr 24 10:39:07 2023 relations with 7+ large ideals: 11286507
  106. Mon Apr 24 10:39:07 2023 commencing 2-way merge
  107. Mon Apr 24 10:39:16 2023 reduce to 19649189 relation sets and 18923666 unique ideals
  108. Mon Apr 24 10:39:16 2023 commencing full merge
  109. Mon Apr 24 10:44:07 2023 memory use: 2517.9 MB
  110. Mon Apr 24 10:44:09 2023 found 8899336 cycles, need 8889866
  111. Mon Apr 24 10:44:10 2023 weight of 8889866 cycles is about 978522952 (110.07/cycle)
  112. Mon Apr 24 10:44:10 2023 distribution of cycle lengths:
  113. Mon Apr 24 10:44:10 2023 1 relations: 524963
  114. Mon Apr 24 10:44:10 2023 2 relations: 610260
  115. Mon Apr 24 10:44:10 2023 3 relations: 653525
  116. Mon Apr 24 10:44:10 2023 4 relations: 654788
  117. Mon Apr 24 10:44:10 2023 5 relations: 649532
  118. Mon Apr 24 10:44:10 2023 6 relations: 634226
  119. Mon Apr 24 10:44:10 2023 7 relations: 612423
  120. Mon Apr 24 10:44:10 2023 8 relations: 580908
  121. Mon Apr 24 10:44:10 2023 9 relations: 541678
  122. Mon Apr 24 10:44:10 2023 10+ relations: 3427563
  123. Mon Apr 24 10:44:10 2023 heaviest cycle: 28 relations
  124. Mon Apr 24 10:44:12 2023 commencing cycle optimization
  125. Mon Apr 24 10:44:24 2023 start with 77472353 relations
  126. Mon Apr 24 10:46:13 2023 pruned 3511123 relations
  127. Mon Apr 24 10:46:13 2023 memory use: 2032.3 MB
  128. Mon Apr 24 10:46:13 2023 distribution of cycle lengths:
  129. Mon Apr 24 10:46:13 2023 1 relations: 524963
  130. Mon Apr 24 10:46:13 2023 2 relations: 622904
  131. Mon Apr 24 10:46:13 2023 3 relations: 678762
  132. Mon Apr 24 10:46:13 2023 4 relations: 680151
  133. Mon Apr 24 10:46:13 2023 5 relations: 680662
  134. Mon Apr 24 10:46:13 2023 6 relations: 663984
  135. Mon Apr 24 10:46:13 2023 7 relations: 643762
  136. Mon Apr 24 10:46:13 2023 8 relations: 607519
  137. Mon Apr 24 10:46:13 2023 9 relations: 566554
  138. Mon Apr 24 10:46:13 2023 10+ relations: 3220605
  139. Mon Apr 24 10:46:13 2023 heaviest cycle: 28 relations
  140. Mon Apr 24 10:46:22 2023 RelProcTime: 1031
  141. Mon Apr 24 10:46:22 2023
  142. Mon Apr 24 10:46:22 2023 commencing linear algebra
  143. Mon Apr 24 10:46:22 2023 using VBITS=256
  144. Mon Apr 24 10:46:23 2023 read 8889866 cycles
  145. Mon Apr 24 10:46:34 2023 cycles contain 29486554 unique relations
  146. Mon Apr 24 10:46:50 2023 read 29486554 relations
  147. Mon Apr 24 10:46:53 2023 using 20 quadratic characters above 4294917295
  148. Mon Apr 24 10:46:59 2023 building initial matrix
  149. Mon Apr 24 10:50:07 2023 memory use: 3589.5 MB
  150. Mon Apr 24 10:50:10 2023 read 8889866 cycles
  151. Mon Apr 24 10:50:11 2023 matrix is 8889689 x 8889866 (3873.9 MB) with weight 1105283959 (124.33/col)
  152. Mon Apr 24 10:50:11 2023 sparse part has weight 917736358 (103.23/col)
  153. Mon Apr 24 10:51:00 2023 filtering completed in 2 passes
  154. Mon Apr 24 10:51:01 2023 matrix is 8889542 x 8889703 (3873.9 MB) with weight 1105279090 (124.33/col)
  155. Mon Apr 24 10:51:01 2023 sparse part has weight 917735008 (103.24/col)
  156. Mon Apr 24 10:51:13 2023 matrix starts at (0, 0)
  157. Mon Apr 24 10:51:14 2023 matrix is 8889542 x 8889703 (3873.9 MB) with weight 1105279090 (124.33/col)
  158. Mon Apr 24 10:51:14 2023 sparse part has weight 917735008 (103.24/col)
  159. Mon Apr 24 10:51:14 2023 saving the first 240 matrix rows for later
  160. Mon Apr 24 10:51:15 2023 matrix includes 256 packed rows
  161. Mon Apr 24 10:51:17 2023 matrix is 8889302 x 8889703 (3568.8 MB) with weight 836923708 (94.15/col)
  162. Mon Apr 24 10:51:17 2023 sparse part has weight 793295049 (89.24/col)
  163. Mon Apr 24 10:51:17 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  164. Mon Apr 24 10:51:17 2023 selected card has CUDA arch 8.6
  165. Mon Apr 24 10:51:45 2023 commencing Lanczos iteration
  166. Mon Apr 24 10:51:46 2023 memory use: 8290.5 MB
  167. Mon Apr 24 10:52:12 2023 linear algebra at 0.3%, ETA 2h 5m
  168. Mon Apr 24 10:52:50 2023 checking every 70000 dimensions, checkpointing every 4340000 dimensions
  169. Mon Apr 24 12:55:04 2023 lanczos halted after 34828 iterations (dim = 8889300)
  170. Mon Apr 24 12:55:25 2023 recovered 35 nontrivial dependencies
  171. Mon Apr 24 12:55:25 2023 BLanczosTime: 7743
  172. Mon Apr 24 12:55:25 2023
  173. Mon Apr 24 12:55:25 2023 commencing square root phase
  174. Mon Apr 24 12:55:25 2023 handling dependencies 1 to 64
  175. Mon Apr 24 12:55:25 2023 reading relations for dependency 1
  176. Mon Apr 24 12:55:26 2023 read 4446828 cycles
  177. Mon Apr 24 12:55:31 2023 cycles contain 14746484 unique relations
  178. Mon Apr 24 12:55:42 2023 read 14746484 relations
  179. Mon Apr 24 12:56:17 2023 multiplying 14746484 relations
  180. Mon Apr 24 12:57:58 2023 multiply complete, coefficients have about 368.39 million bits
  181. Mon Apr 24 12:57:59 2023 initial square root is modulo 4074743
  182. Mon Apr 24 12:59:08 2023 found factor: 13301379233539534906105688153685111535348408472190459789291155488311079259013404053105769387
  183. Mon Apr 24 12:59:08 2023 reading relations for dependency 2
  184. Mon Apr 24 12:59:09 2023 read 4445492 cycles
  185. Mon Apr 24 12:59:14 2023 cycles contain 14741342 unique relations
  186. Mon Apr 24 12:59:25 2023 read 14741342 relations
  187. Mon Apr 24 12:59:59 2023 multiplying 14741342 relations
  188. Mon Apr 24 13:01:40 2023 multiply complete, coefficients have about 368.25 million bits
  189. Mon Apr 24 13:01:41 2023 initial square root is modulo 4051139
  190. Mon Apr 24 13:02:49 2023 sqrtTime: 444
  191. Mon Apr 24 13:02:49 2023 p60 factor: 302934794971283709114745247625137585223709570249416375878153
  192. Mon Apr 24 13:02:49 2023 p82 factor: 1151526132454257273992191687236974272021186041915069363842528351343011818935838207
  193. Mon Apr 24 13:02:49 2023 p92 factor: 13301379233539534906105688153685111535348408472190459789291155488311079259013404053105769387
  194. Mon Apr 24 13:02:49 2023 elapsed time 02:33:38
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