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May 1st, 2023
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  1. Mon May 1 12:41:14 2023 Msieve v. 1.54 (SVN 03e8738)
  2. Mon May 1 12:41:14 2023 random seeds: 421601f4 a36fd0c5
  3. Mon May 1 12:41:14 2023 Using 7 OpenMP threads
  4. Mon May 1 12:41:14 2023 factoring 10891216802050645911801414942920969386091355970325101138920175353855810411097544761735043269128156752328139965485291157400209587209859589855745324065683 (152 digits)
  5. Mon May 1 12:41:15 2023 no P-1/P+1/ECM available, skipping
  6. Mon May 1 12:41:15 2023 commencing number field sieve (152-digit input)
  7. Mon May 1 12:41:15 2023 R0: 222461328114661613805571634502
  8. Mon May 1 12:41:15 2023 R1: 146445070553707156504307
  9. Mon May 1 12:41:15 2023 A0: 5714072882751739918637216120603910
  10. Mon May 1 12:41:15 2023 A1: 71246431729185890059952253253
  11. Mon May 1 12:41:15 2023 A2: -190209886225807533037198
  12. Mon May 1 12:41:15 2023 A3: -361924816878337637
  13. Mon May 1 12:41:15 2023 A4: 633590704152
  14. Mon May 1 12:41:15 2023 A5: 267120
  15. Mon May 1 12:41:15 2023 skew 1.00, size 1.290e-14, alpha -5.735, combined = 7.733e-14 rroots = 5
  16. Mon May 1 12:41:15 2023
  17. Mon May 1 12:41:15 2023 commencing relation filtering
  18. Mon May 1 12:41:15 2023 setting target matrix density to 110.0
  19. Mon May 1 12:41:15 2023 estimated available RAM is 64238.6 MB
  20. Mon May 1 12:41:15 2023 commencing duplicate removal, pass 1
  21. Mon May 1 12:42:29 2023 skipped 1 malformed relations
  22. Mon May 1 12:42:29 2023 found 1791585 hash collisions in 45100760 relations
  23. Mon May 1 12:42:50 2023 added 121836 free relations
  24. Mon May 1 12:42:50 2023 commencing duplicate removal, pass 2
  25. Mon May 1 12:43:01 2023 found 0 duplicates and 45222596 unique relations
  26. Mon May 1 12:43:01 2023 memory use: 138.6 MB
  27. Mon May 1 12:43:01 2023 reading ideals above 720000
  28. Mon May 1 12:43:01 2023 commencing singleton removal, initial pass
  29. Mon May 1 12:45:09 2023 memory use: 753.0 MB
  30. Mon May 1 12:45:09 2023 reading all ideals from disk
  31. Mon May 1 12:45:09 2023 memory use: 1940.3 MB
  32. Mon May 1 12:45:12 2023 keeping 35789026 ideals with weight <= 200, target excess is 244586
  33. Mon May 1 12:45:17 2023 commencing in-memory singleton removal
  34. Mon May 1 12:45:18 2023 begin with 45222596 relations and 35789026 unique ideals
  35. Mon May 1 12:45:25 2023 reduce to 39289521 relations and 29676186 ideals in 10 passes
  36. Mon May 1 12:45:25 2023 max relations containing the same ideal: 192
  37. Mon May 1 12:45:37 2023 removing 4076902 relations and 3076902 ideals in 1000000 cliques
  38. Mon May 1 12:45:38 2023 commencing in-memory singleton removal
  39. Mon May 1 12:45:39 2023 begin with 35212619 relations and 29676186 unique ideals
  40. Mon May 1 12:45:44 2023 reduce to 34880014 relations and 26256437 ideals in 7 passes
  41. Mon May 1 12:45:44 2023 max relations containing the same ideal: 178
  42. Mon May 1 12:45:55 2023 removing 3239747 relations and 2239747 ideals in 1000000 cliques
  43. Mon May 1 12:45:56 2023 commencing in-memory singleton removal
  44. Mon May 1 12:45:57 2023 begin with 31640267 relations and 26256437 unique ideals
  45. Mon May 1 12:46:01 2023 reduce to 31408530 relations and 23778483 ideals in 7 passes
  46. Mon May 1 12:46:01 2023 max relations containing the same ideal: 166
  47. Mon May 1 12:46:10 2023 removing 3016838 relations and 2016838 ideals in 1000000 cliques
  48. Mon May 1 12:46:12 2023 commencing in-memory singleton removal
  49. Mon May 1 12:46:13 2023 begin with 28391692 relations and 23778483 unique ideals
  50. Mon May 1 12:46:16 2023 reduce to 28184095 relations and 21547911 ideals in 6 passes
  51. Mon May 1 12:46:16 2023 max relations containing the same ideal: 154
  52. Mon May 1 12:46:22 2023 removing 2908393 relations and 1908393 ideals in 1000000 cliques
  53. Mon May 1 12:46:23 2023 commencing in-memory singleton removal
  54. Mon May 1 12:46:24 2023 begin with 25275702 relations and 21547911 unique ideals
  55. Mon May 1 12:46:27 2023 reduce to 25071151 relations and 19428701 ideals in 7 passes
  56. Mon May 1 12:46:27 2023 max relations containing the same ideal: 143
  57. Mon May 1 12:46:35 2023 removing 2843934 relations and 1843934 ideals in 1000000 cliques
  58. Mon May 1 12:46:36 2023 commencing in-memory singleton removal
  59. Mon May 1 12:46:37 2023 begin with 22227217 relations and 19428701 unique ideals
  60. Mon May 1 12:46:39 2023 reduce to 22017020 relations and 17367236 ideals in 6 passes
  61. Mon May 1 12:46:39 2023 max relations containing the same ideal: 134
  62. Mon May 1 12:46:46 2023 removing 2808367 relations and 1808367 ideals in 1000000 cliques
  63. Mon May 1 12:46:47 2023 commencing in-memory singleton removal
  64. Mon May 1 12:46:47 2023 begin with 19208653 relations and 17367236 unique ideals
  65. Mon May 1 12:46:49 2023 reduce to 18982232 relations and 15323745 ideals in 7 passes
  66. Mon May 1 12:46:49 2023 max relations containing the same ideal: 122
  67. Mon May 1 12:46:56 2023 removing 2792298 relations and 1792298 ideals in 1000000 cliques
  68. Mon May 1 12:46:56 2023 commencing in-memory singleton removal
  69. Mon May 1 12:46:57 2023 begin with 16189934 relations and 15323745 unique ideals
  70. Mon May 1 12:46:59 2023 reduce to 15935712 relations and 13265993 ideals in 7 passes
  71. Mon May 1 12:46:59 2023 max relations containing the same ideal: 107
  72. Mon May 1 12:47:04 2023 removing 2789675 relations and 1789675 ideals in 1000000 cliques
  73. Mon May 1 12:47:05 2023 commencing in-memory singleton removal
  74. Mon May 1 12:47:05 2023 begin with 13146037 relations and 13265993 unique ideals
  75. Mon May 1 12:47:07 2023 reduce to 12848953 relations and 11163468 ideals in 6 passes
  76. Mon May 1 12:47:07 2023 max relations containing the same ideal: 91
  77. Mon May 1 12:47:11 2023 removing 2801212 relations and 1801212 ideals in 1000000 cliques
  78. Mon May 1 12:47:12 2023 commencing in-memory singleton removal
  79. Mon May 1 12:47:12 2023 begin with 10047741 relations and 11163468 unique ideals
  80. Mon May 1 12:47:14 2023 reduce to 9676193 relations and 8966723 ideals in 8 passes
  81. Mon May 1 12:47:14 2023 max relations containing the same ideal: 76
  82. Mon May 1 12:47:18 2023 removing 1408021 relations and 982271 ideals in 425750 cliques
  83. Mon May 1 12:47:18 2023 commencing in-memory singleton removal
  84. Mon May 1 12:47:18 2023 begin with 8268172 relations and 8966723 unique ideals
  85. Mon May 1 12:47:19 2023 reduce to 8119238 relations and 7829553 ideals in 7 passes
  86. Mon May 1 12:47:19 2023 max relations containing the same ideal: 70
  87. Mon May 1 12:47:24 2023 relations with 0 large ideals: 844
  88. Mon May 1 12:47:24 2023 relations with 1 large ideals: 3388
  89. Mon May 1 12:47:24 2023 relations with 2 large ideals: 47534
  90. Mon May 1 12:47:24 2023 relations with 3 large ideals: 302344
  91. Mon May 1 12:47:24 2023 relations with 4 large ideals: 996882
  92. Mon May 1 12:47:24 2023 relations with 5 large ideals: 1906798
  93. Mon May 1 12:47:24 2023 relations with 6 large ideals: 2249389
  94. Mon May 1 12:47:24 2023 relations with 7+ large ideals: 2612059
  95. Mon May 1 12:47:24 2023 commencing 2-way merge
  96. Mon May 1 12:47:27 2023 reduce to 5349577 relation sets and 5059892 unique ideals
  97. Mon May 1 12:47:27 2023 commencing full merge
  98. Mon May 1 12:49:10 2023 memory use: 661.0 MB
  99. Mon May 1 12:49:11 2023 found 2494525 cycles, need 2460092
  100. Mon May 1 12:49:12 2023 weight of 2460092 cycles is about 270960221 (110.14/cycle)
  101. Mon May 1 12:49:12 2023 distribution of cycle lengths:
  102. Mon May 1 12:49:12 2023 1 relations: 84392
  103. Mon May 1 12:49:12 2023 2 relations: 149364
  104. Mon May 1 12:49:12 2023 3 relations: 186266
  105. Mon May 1 12:49:12 2023 4 relations: 199110
  106. Mon May 1 12:49:12 2023 5 relations: 208599
  107. Mon May 1 12:49:12 2023 6 relations: 209259
  108. Mon May 1 12:49:12 2023 7 relations: 204885
  109. Mon May 1 12:49:12 2023 8 relations: 191815
  110. Mon May 1 12:49:12 2023 9 relations: 175400
  111. Mon May 1 12:49:12 2023 10+ relations: 851002
  112. Mon May 1 12:49:12 2023 heaviest cycle: 25 relations
  113. Mon May 1 12:49:12 2023 commencing cycle optimization
  114. Mon May 1 12:49:17 2023 start with 20047334 relations
  115. Mon May 1 12:49:56 2023 pruned 963179 relations
  116. Mon May 1 12:49:56 2023 memory use: 541.9 MB
  117. Mon May 1 12:49:56 2023 distribution of cycle lengths:
  118. Mon May 1 12:49:56 2023 1 relations: 84392
  119. Mon May 1 12:49:56 2023 2 relations: 153867
  120. Mon May 1 12:49:56 2023 3 relations: 195166
  121. Mon May 1 12:49:56 2023 4 relations: 208715
  122. Mon May 1 12:49:56 2023 5 relations: 221408
  123. Mon May 1 12:49:56 2023 6 relations: 221333
  124. Mon May 1 12:49:56 2023 7 relations: 216622
  125. Mon May 1 12:49:56 2023 8 relations: 201629
  126. Mon May 1 12:49:56 2023 9 relations: 183052
  127. Mon May 1 12:49:56 2023 10+ relations: 773908
  128. Mon May 1 12:49:56 2023 heaviest cycle: 25 relations
  129. Mon May 1 12:49:59 2023 RelProcTime: 524
  130. Mon May 1 12:49:59 2023
  131. Mon May 1 12:49:59 2023 commencing linear algebra
  132. Mon May 1 12:49:59 2023 using VBITS=256
  133. Mon May 1 12:50:00 2023 read 2460092 cycles
  134. Mon May 1 12:50:04 2023 cycles contain 7946345 unique relations
  135. Mon May 1 12:50:14 2023 read 7946345 relations
  136. Mon May 1 12:50:16 2023 using 20 quadratic characters above 4294917295
  137. Mon May 1 12:50:20 2023 building initial matrix
  138. Mon May 1 12:51:54 2023 memory use: 1041.5 MB
  139. Mon May 1 12:51:55 2023 read 2460092 cycles
  140. Mon May 1 12:51:56 2023 matrix is 2459913 x 2460092 (1062.8 MB) with weight 323339124 (131.43/col)
  141. Mon May 1 12:51:56 2023 sparse part has weight 251539006 (102.25/col)
  142. Mon May 1 12:52:19 2023 filtering completed in 2 passes
  143. Mon May 1 12:52:20 2023 matrix is 2459765 x 2459943 (1062.8 MB) with weight 323331300 (131.44/col)
  144. Mon May 1 12:52:20 2023 sparse part has weight 251535818 (102.25/col)
  145. Mon May 1 12:52:26 2023 matrix starts at (0, 0)
  146. Mon May 1 12:52:26 2023 matrix is 2459765 x 2459943 (1062.8 MB) with weight 323331300 (131.44/col)
  147. Mon May 1 12:52:26 2023 sparse part has weight 251535818 (102.25/col)
  148. Mon May 1 12:52:26 2023 saving the first 240 matrix rows for later
  149. Mon May 1 12:52:27 2023 matrix includes 256 packed rows
  150. Mon May 1 12:52:28 2023 matrix is 2459525 x 2459943 (959.7 MB) with weight 227949176 (92.66/col)
  151. Mon May 1 12:52:28 2023 sparse part has weight 212208896 (86.27/col)
  152. Mon May 1 12:52:28 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  153. Mon May 1 12:52:28 2023 selected card has CUDA arch 8.6
  154. Mon May 1 12:52:39 2023 commencing Lanczos iteration
  155. Mon May 1 12:52:40 2023 memory use: 2238.4 MB
  156. Mon May 1 12:52:46 2023 linear algebra at 1.2%, ETA 0h 7m
  157. Mon May 1 12:52:55 2023 checking every 300000 dimensions, checkpointing every 18600000 dimensions
  158. Mon May 1 13:00:43 2023 lanczos halted after 9638 iterations (dim = 2459525)
  159. Mon May 1 13:00:53 2023 recovered 31 nontrivial dependencies
  160. Mon May 1 13:00:53 2023 BLanczosTime: 654
  161. Mon May 1 13:00:53 2023
  162. Mon May 1 13:00:53 2023 commencing square root phase
  163. Mon May 1 13:00:53 2023 handling dependencies 1 to 64
  164. Mon May 1 13:00:53 2023 reading relations for dependency 1
  165. Mon May 1 13:00:53 2023 read 1228314 cycles
  166. Mon May 1 13:00:55 2023 cycles contain 3971546 unique relations
  167. Mon May 1 13:01:02 2023 read 3971546 relations
  168. Mon May 1 13:01:17 2023 multiplying 3971546 relations
  169. Mon May 1 13:02:58 2023 multiply complete, coefficients have about 209.56 million bits
  170. Mon May 1 13:02:58 2023 initial square root is modulo 33145279
  171. Mon May 1 13:04:07 2023 sqrtTime: 194
  172. Mon May 1 13:04:07 2023 p72 factor: 174203599779426268622022553428938741639140292311301582594464133294871157
  173. Mon May 1 13:04:07 2023 p80 factor: 62520044452817998036071016876076130561720332595064700443906095231830668792614119
  174. Mon May 1 13:04:07 2023 elapsed time 00:22:53
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