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Apr 11th, 2023
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  1. Tue Apr 11 09:58:20 2023 Msieve v. 1.54 (SVN 03e8738)
  2. Tue Apr 11 09:58:20 2023 random seeds: a345991d 5b2fd933
  3. Tue Apr 11 09:58:20 2023 Using 15 OpenMP threads
  4. Tue Apr 11 09:58:20 2023 factoring 5983812103996045505356711094418760930590444415917256506807065254800778312126471012667104054099093254078445957877019080255490124326854219074111481633917445601199 (160 digits)
  5. Tue Apr 11 09:58:20 2023 no P-1/P+1/ECM available, skipping
  6. Tue Apr 11 09:58:20 2023 commencing number field sieve (160-digit input)
  7. Tue Apr 11 09:58:20 2023 R0: -8720377121769418787483485900279
  8. Tue Apr 11 09:58:20 2023 R1: 203240476074139854493
  9. Tue Apr 11 09:58:20 2023 A0: 66686734597259643005127657869990731920
  10. Tue Apr 11 09:58:20 2023 A1: -24238462273252499981660499729710
  11. Tue Apr 11 09:58:20 2023 A2: -19154718643668155112050379
  12. Tue Apr 11 09:58:20 2023 A3: -6528383451317881851
  13. Tue Apr 11 09:58:20 2023 A4: 794269215664
  14. Tue Apr 11 09:58:20 2023 A5: 237300
  15. Tue Apr 11 09:58:20 2023 skew 4352591.39, size 1.573e-15, alpha -6.616, combined = 1.515e-12 rroots = 3
  16. Tue Apr 11 09:58:20 2023
  17. Tue Apr 11 09:58:20 2023 commencing relation filtering
  18. Tue Apr 11 09:58:20 2023 setting target matrix density to 110.0
  19. Tue Apr 11 09:58:20 2023 estimated available RAM is 64238.6 MB
  20. Tue Apr 11 09:58:20 2023 commencing duplicate removal, pass 1
  21. Tue Apr 11 09:59:18 2023 found 2781911 hash collisions in 79209557 relations
  22. Tue Apr 11 09:59:33 2023 added 121493 free relations
  23. Tue Apr 11 09:59:33 2023 commencing duplicate removal, pass 2
  24. Tue Apr 11 09:59:45 2023 found 0 duplicates and 79331050 unique relations
  25. Tue Apr 11 09:59:45 2023 memory use: 261.2 MB
  26. Tue Apr 11 09:59:45 2023 reading ideals above 720000
  27. Tue Apr 11 09:59:45 2023 commencing singleton removal, initial pass
  28. Tue Apr 11 10:01:52 2023 memory use: 1506.0 MB
  29. Tue Apr 11 10:01:52 2023 reading all ideals from disk
  30. Tue Apr 11 10:01:52 2023 memory use: 3540.1 MB
  31. Tue Apr 11 10:01:55 2023 keeping 64778983 ideals with weight <= 200, target excess is 422500
  32. Tue Apr 11 10:01:59 2023 commencing in-memory singleton removal
  33. Tue Apr 11 10:02:00 2023 begin with 79331050 relations and 64778983 unique ideals
  34. Tue Apr 11 10:02:06 2023 reduce to 66759564 relations and 51786514 ideals in 12 passes
  35. Tue Apr 11 10:02:06 2023 max relations containing the same ideal: 187
  36. Tue Apr 11 10:02:17 2023 removing 8455801 relations and 6455801 ideals in 2000000 cliques
  37. Tue Apr 11 10:02:19 2023 commencing in-memory singleton removal
  38. Tue Apr 11 10:02:20 2023 begin with 58303763 relations and 51786514 unique ideals
  39. Tue Apr 11 10:02:23 2023 reduce to 57489707 relations and 44487123 ideals in 8 passes
  40. Tue Apr 11 10:02:23 2023 max relations containing the same ideal: 171
  41. Tue Apr 11 10:02:33 2023 removing 6673870 relations and 4673870 ideals in 2000000 cliques
  42. Tue Apr 11 10:02:35 2023 commencing in-memory singleton removal
  43. Tue Apr 11 10:02:35 2023 begin with 50815837 relations and 44487123 unique ideals
  44. Tue Apr 11 10:02:38 2023 reduce to 50239614 relations and 39217513 ideals in 8 passes
  45. Tue Apr 11 10:02:38 2023 max relations containing the same ideal: 155
  46. Tue Apr 11 10:02:47 2023 removing 6200318 relations and 4200318 ideals in 2000000 cliques
  47. Tue Apr 11 10:02:49 2023 commencing in-memory singleton removal
  48. Tue Apr 11 10:02:49 2023 begin with 44039296 relations and 39217513 unique ideals
  49. Tue Apr 11 10:02:51 2023 reduce to 43509716 relations and 34468450 ideals in 6 passes
  50. Tue Apr 11 10:02:51 2023 max relations containing the same ideal: 141
  51. Tue Apr 11 10:02:59 2023 removing 5967726 relations and 3967726 ideals in 2000000 cliques
  52. Tue Apr 11 10:03:00 2023 commencing in-memory singleton removal
  53. Tue Apr 11 10:03:01 2023 begin with 37541990 relations and 34468450 unique ideals
  54. Tue Apr 11 10:03:03 2023 reduce to 37008255 relations and 29945670 ideals in 7 passes
  55. Tue Apr 11 10:03:03 2023 max relations containing the same ideal: 127
  56. Tue Apr 11 10:03:09 2023 removing 5831321 relations and 3831321 ideals in 2000000 cliques
  57. Tue Apr 11 10:03:11 2023 commencing in-memory singleton removal
  58. Tue Apr 11 10:03:11 2023 begin with 31176934 relations and 29945670 unique ideals
  59. Tue Apr 11 10:03:13 2023 reduce to 30605957 relations and 25516890 ideals in 8 passes
  60. Tue Apr 11 10:03:13 2023 max relations containing the same ideal: 116
  61. Tue Apr 11 10:03:19 2023 removing 5748170 relations and 3748170 ideals in 2000000 cliques
  62. Tue Apr 11 10:03:20 2023 commencing in-memory singleton removal
  63. Tue Apr 11 10:03:20 2023 begin with 24857787 relations and 25516890 unique ideals
  64. Tue Apr 11 10:03:21 2023 reduce to 24208036 relations and 21083147 ideals in 7 passes
  65. Tue Apr 11 10:03:21 2023 max relations containing the same ideal: 96
  66. Tue Apr 11 10:03:26 2023 removing 5698322 relations and 3698322 ideals in 2000000 cliques
  67. Tue Apr 11 10:03:27 2023 commencing in-memory singleton removal
  68. Tue Apr 11 10:03:27 2023 begin with 18509714 relations and 21083147 unique ideals
  69. Tue Apr 11 10:03:28 2023 reduce to 17717604 relations and 16536558 ideals in 8 passes
  70. Tue Apr 11 10:03:28 2023 max relations containing the same ideal: 81
  71. Tue Apr 11 10:03:32 2023 removing 2412181 relations and 1721235 ideals in 690946 cliques
  72. Tue Apr 11 10:03:32 2023 commencing in-memory singleton removal
  73. Tue Apr 11 10:03:33 2023 begin with 15305423 relations and 16536558 unique ideals
  74. Tue Apr 11 10:03:33 2023 reduce to 15066508 relations and 14567896 ideals in 8 passes
  75. Tue Apr 11 10:03:33 2023 max relations containing the same ideal: 72
  76. Tue Apr 11 10:03:37 2023 removing 57381 relations and 48869 ideals in 8512 cliques
  77. Tue Apr 11 10:03:37 2023 commencing in-memory singleton removal
  78. Tue Apr 11 10:03:37 2023 begin with 15009127 relations and 14567896 unique ideals
  79. Tue Apr 11 10:03:37 2023 reduce to 15009008 relations and 14518908 ideals in 5 passes
  80. Tue Apr 11 10:03:37 2023 max relations containing the same ideal: 72
  81. Tue Apr 11 10:03:39 2023 relations with 0 large ideals: 1389
  82. Tue Apr 11 10:03:39 2023 relations with 1 large ideals: 7432
  83. Tue Apr 11 10:03:39 2023 relations with 2 large ideals: 103391
  84. Tue Apr 11 10:03:39 2023 relations with 3 large ideals: 623422
  85. Tue Apr 11 10:03:39 2023 relations with 4 large ideals: 1964880
  86. Tue Apr 11 10:03:39 2023 relations with 5 large ideals: 3610074
  87. Tue Apr 11 10:03:39 2023 relations with 6 large ideals: 4113919
  88. Tue Apr 11 10:03:39 2023 relations with 7+ large ideals: 4584501
  89. Tue Apr 11 10:03:39 2023 commencing 2-way merge
  90. Tue Apr 11 10:03:43 2023 reduce to 9824426 relation sets and 9334326 unique ideals
  91. Tue Apr 11 10:03:43 2023 commencing full merge
  92. Tue Apr 11 10:05:31 2023 memory use: 1178.1 MB
  93. Tue Apr 11 10:05:31 2023 found 4580719 cycles, need 4526526
  94. Tue Apr 11 10:05:32 2023 weight of 4526526 cycles is about 498367637 (110.10/cycle)
  95. Tue Apr 11 10:05:32 2023 distribution of cycle lengths:
  96. Tue Apr 11 10:05:32 2023 1 relations: 170704
  97. Tue Apr 11 10:05:32 2023 2 relations: 279113
  98. Tue Apr 11 10:05:32 2023 3 relations: 343641
  99. Tue Apr 11 10:05:32 2023 4 relations: 367266
  100. Tue Apr 11 10:05:32 2023 5 relations: 388932
  101. Tue Apr 11 10:05:32 2023 6 relations: 384178
  102. Tue Apr 11 10:05:32 2023 7 relations: 375166
  103. Tue Apr 11 10:05:32 2023 8 relations: 351280
  104. Tue Apr 11 10:05:32 2023 9 relations: 322441
  105. Tue Apr 11 10:05:32 2023 10+ relations: 1543805
  106. Tue Apr 11 10:05:32 2023 heaviest cycle: 25 relations
  107. Tue Apr 11 10:05:33 2023 commencing cycle optimization
  108. Tue Apr 11 10:05:38 2023 start with 36577894 relations
  109. Tue Apr 11 10:06:21 2023 pruned 1666491 relations
  110. Tue Apr 11 10:06:21 2023 memory use: 999.2 MB
  111. Tue Apr 11 10:06:21 2023 distribution of cycle lengths:
  112. Tue Apr 11 10:06:21 2023 1 relations: 170704
  113. Tue Apr 11 10:06:21 2023 2 relations: 287310
  114. Tue Apr 11 10:06:21 2023 3 relations: 360165
  115. Tue Apr 11 10:06:21 2023 4 relations: 384541
  116. Tue Apr 11 10:06:21 2023 5 relations: 409955
  117. Tue Apr 11 10:06:21 2023 6 relations: 404985
  118. Tue Apr 11 10:06:21 2023 7 relations: 396202
  119. Tue Apr 11 10:06:21 2023 8 relations: 367907
  120. Tue Apr 11 10:06:21 2023 9 relations: 334709
  121. Tue Apr 11 10:06:21 2023 10+ relations: 1410048
  122. Tue Apr 11 10:06:21 2023 heaviest cycle: 25 relations
  123. Tue Apr 11 10:06:26 2023 RelProcTime: 486
  124. Tue Apr 11 10:06:26 2023
  125. Tue Apr 11 10:06:26 2023 commencing linear algebra
  126. Tue Apr 11 10:06:26 2023 using VBITS=256
  127. Tue Apr 11 10:06:26 2023 read 4526526 cycles
  128. Tue Apr 11 10:06:31 2023 cycles contain 14759035 unique relations
  129. Tue Apr 11 10:06:40 2023 read 14759035 relations
  130. Tue Apr 11 10:06:41 2023 using 20 quadratic characters above 4294917295
  131. Tue Apr 11 10:06:44 2023 building initial matrix
  132. Tue Apr 11 10:08:20 2023 memory use: 1996.9 MB
  133. Tue Apr 11 10:08:21 2023 read 4526526 cycles
  134. Tue Apr 11 10:08:22 2023 matrix is 4526349 x 4526526 (1979.2 MB) with weight 602105518 (133.02/col)
  135. Tue Apr 11 10:08:22 2023 sparse part has weight 464517235 (102.62/col)
  136. Tue Apr 11 10:08:44 2023 filtering completed in 2 passes
  137. Tue Apr 11 10:08:45 2023 matrix is 4526126 x 4526301 (1979.2 MB) with weight 602094209 (133.02/col)
  138. Tue Apr 11 10:08:45 2023 sparse part has weight 464512864 (102.63/col)
  139. Tue Apr 11 10:08:51 2023 matrix starts at (0, 0)
  140. Tue Apr 11 10:08:51 2023 matrix is 4526126 x 4526301 (1979.2 MB) with weight 602094209 (133.02/col)
  141. Tue Apr 11 10:08:51 2023 sparse part has weight 464512864 (102.63/col)
  142. Tue Apr 11 10:08:51 2023 saving the first 240 matrix rows for later
  143. Tue Apr 11 10:08:52 2023 matrix includes 256 packed rows
  144. Tue Apr 11 10:08:53 2023 matrix is 4525886 x 4526301 (1783.2 MB) with weight 422910754 (93.43/col)
  145. Tue Apr 11 10:08:53 2023 sparse part has weight 395027299 (87.27/col)
  146. Tue Apr 11 10:08:53 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  147. Tue Apr 11 10:08:53 2023 selected card has CUDA arch 8.6
  148. Tue Apr 11 10:09:06 2023 commencing Lanczos iteration
  149. Tue Apr 11 10:09:06 2023 memory use: 4153.4 MB
  150. Tue Apr 11 10:09:19 2023 linear algebra at 0.7%, ETA 0h31m
  151. Tue Apr 11 10:09:37 2023 checking every 140000 dimensions, checkpointing every 8960000 dimensions
  152. Tue Apr 11 10:39:05 2023 lanczos halted after 17734 iterations (dim = 4525884)
  153. Tue Apr 11 10:39:18 2023 recovered 29 nontrivial dependencies
  154. Tue Apr 11 10:39:19 2023 BLanczosTime: 1973
  155. Tue Apr 11 10:39:19 2023
  156. Tue Apr 11 10:39:19 2023 commencing square root phase
  157. Tue Apr 11 10:39:19 2023 handling dependencies 1 to 64
  158. Tue Apr 11 10:39:19 2023 reading relations for dependency 1
  159. Tue Apr 11 10:39:19 2023 read 2262964 cycles
  160. Tue Apr 11 10:39:21 2023 cycles contain 7376562 unique relations
  161. Tue Apr 11 10:39:27 2023 read 7376562 relations
  162. Tue Apr 11 10:39:44 2023 multiplying 7376562 relations
  163. Tue Apr 11 10:41:21 2023 multiply complete, coefficients have about 391.53 million bits
  164. Tue Apr 11 10:41:22 2023 initial square root is modulo 10602233
  165. Tue Apr 11 10:42:35 2023 sqrtTime: 196
  166. Tue Apr 11 10:42:35 2023 p69 factor: 901663403632985009123677306360638064357984987051688792229887403100987
  167. Tue Apr 11 10:42:35 2023 p91 factor: 6636414519970591065327536596796422268646331979812466721340717525837169941934038904724059677
  168. Tue Apr 11 10:42:35 2023 elapsed time 00:44:15
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