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Dec 12th, 2023
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  1. Mon Dec 11 08:58:29 2023
  2. Mon Dec 11 08:58:29 2023
  3. Mon Dec 11 08:58:29 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Dec 11 08:58:29 2023 random seeds: 0403ba21 628c0483
  5. Mon Dec 11 08:58:29 2023 Using 4 OpenMP threads
  6. Mon Dec 11 08:58:29 2023 factoring 3493993073714207168930993114875602421205617947488154404637826385355339391249017463772319563881355100964093547293241277108711190243875265775147503239910441 (154 digits)
  7. Mon Dec 11 08:58:29 2023 searching for 15-digit factors
  8. Mon Dec 11 08:58:29 2023 commencing number field sieve (154-digit input)
  9. Mon Dec 11 08:58:29 2023 R0: -808084361004647359961582782605
  10. Mon Dec 11 08:58:29 2023 R1: 24534805869134459
  11. Mon Dec 11 08:58:29 2023 A0: 288168823884168034299453755862352447904
  12. Mon Dec 11 08:58:29 2023 A1: 261734280739563599288607365183964
  13. Mon Dec 11 08:58:29 2023 A2: -51579122715034565256862504
  14. Mon Dec 11 08:58:29 2023 A3: -19923143957417508651
  15. Mon Dec 11 08:58:29 2023 A4: 442464172232
  16. Mon Dec 11 08:58:29 2023 A5: 10140
  17. Mon Dec 11 08:58:29 2023 skew 11241959.49, size 6.029e-15, alpha -7.872, combined = 3.209e-12 rroots = 5
  18. Mon Dec 11 08:58:29 2023
  19. Mon Dec 11 08:58:29 2023 commencing relation filtering
  20. Mon Dec 11 08:58:29 2023 setting target matrix density to 130.0
  21. Mon Dec 11 08:58:29 2023 estimated available RAM is 15729.3 MB
  22. Mon Dec 11 08:58:29 2023 commencing duplicate removal, pass 1
  23. Mon Dec 11 09:01:18 2023 skipped 2 malformed relations
  24. Mon Dec 11 09:01:18 2023 found 12721918 hash collisions in 68653032 relations
  25. Mon Dec 11 09:01:35 2023 commencing duplicate removal, pass 2
  26. Mon Dec 11 09:02:32 2023 found 12915930 duplicates and 55737102 unique relations
  27. Mon Dec 11 09:02:32 2023 memory use: 426.4 MB
  28. Mon Dec 11 09:02:32 2023 reading ideals above 720000
  29. Mon Dec 11 09:02:32 2023 commencing singleton removal, initial pass
  30. Mon Dec 11 09:05:32 2023 memory use: 1378.0 MB
  31. Mon Dec 11 09:05:32 2023 reading all ideals from disk
  32. Mon Dec 11 09:05:33 2023 memory use: 2409.7 MB
  33. Mon Dec 11 09:05:36 2023 keeping 47921649 ideals with weight <= 200, target excess is 299999
  34. Mon Dec 11 09:05:40 2023 commencing in-memory singleton removal
  35. Mon Dec 11 09:05:41 2023 begin with 55737102 relations and 47921649 unique ideals
  36. Mon Dec 11 09:05:48 2023 reduce to 39369390 relations and 30135143 ideals in 11 passes
  37. Mon Dec 11 09:05:48 2023 max relations containing the same ideal: 166
  38. Mon Dec 11 09:05:58 2023 removing 4160619 relations and 3160619 ideals in 1000000 cliques
  39. Mon Dec 11 09:05:59 2023 commencing in-memory singleton removal
  40. Mon Dec 11 09:06:00 2023 begin with 35208771 relations and 30135143 unique ideals
  41. Mon Dec 11 09:06:04 2023 reduce to 34865115 relations and 26620469 ideals in 7 passes
  42. Mon Dec 11 09:06:04 2023 max relations containing the same ideal: 156
  43. Mon Dec 11 09:06:13 2023 removing 3293455 relations and 2293455 ideals in 1000000 cliques
  44. Mon Dec 11 09:06:13 2023 commencing in-memory singleton removal
  45. Mon Dec 11 09:06:14 2023 begin with 31571660 relations and 26620469 unique ideals
  46. Mon Dec 11 09:06:17 2023 reduce to 31333477 relations and 24082195 ideals in 6 passes
  47. Mon Dec 11 09:06:17 2023 max relations containing the same ideal: 148
  48. Mon Dec 11 09:06:25 2023 removing 3063029 relations and 2063029 ideals in 1000000 cliques
  49. Mon Dec 11 09:06:26 2023 commencing in-memory singleton removal
  50. Mon Dec 11 09:06:26 2023 begin with 28270448 relations and 24082195 unique ideals
  51. Mon Dec 11 09:06:29 2023 reduce to 28058353 relations and 21800854 ideals in 6 passes
  52. Mon Dec 11 09:06:29 2023 max relations containing the same ideal: 132
  53. Mon Dec 11 09:06:36 2023 removing 2948219 relations and 1948219 ideals in 1000000 cliques
  54. Mon Dec 11 09:06:37 2023 commencing in-memory singleton removal
  55. Mon Dec 11 09:06:37 2023 begin with 25110134 relations and 21800854 unique ideals
  56. Mon Dec 11 09:06:40 2023 reduce to 24902731 relations and 19638747 ideals in 9 passes
  57. Mon Dec 11 09:06:40 2023 max relations containing the same ideal: 121
  58. Mon Dec 11 09:06:47 2023 removing 2880665 relations and 1880665 ideals in 1000000 cliques
  59. Mon Dec 11 09:06:47 2023 commencing in-memory singleton removal
  60. Mon Dec 11 09:06:48 2023 begin with 22022066 relations and 19638747 unique ideals
  61. Mon Dec 11 09:06:50 2023 reduce to 21809561 relations and 17538392 ideals in 7 passes
  62. Mon Dec 11 09:06:50 2023 max relations containing the same ideal: 114
  63. Mon Dec 11 09:06:55 2023 removing 2837246 relations and 1837246 ideals in 1000000 cliques
  64. Mon Dec 11 09:06:56 2023 commencing in-memory singleton removal
  65. Mon Dec 11 09:06:57 2023 begin with 18972315 relations and 17538392 unique ideals
  66. Mon Dec 11 09:06:58 2023 reduce to 18745477 relations and 15465540 ideals in 7 passes
  67. Mon Dec 11 09:06:58 2023 max relations containing the same ideal: 102
  68. Mon Dec 11 09:07:03 2023 removing 2814621 relations and 1814621 ideals in 1000000 cliques
  69. Mon Dec 11 09:07:04 2023 commencing in-memory singleton removal
  70. Mon Dec 11 09:07:04 2023 begin with 15930856 relations and 15465540 unique ideals
  71. Mon Dec 11 09:07:05 2023 reduce to 15680899 relations and 13389957 ideals in 7 passes
  72. Mon Dec 11 09:07:05 2023 max relations containing the same ideal: 89
  73. Mon Dec 11 09:07:10 2023 removing 2798809 relations and 1798809 ideals in 1000000 cliques
  74. Mon Dec 11 09:07:10 2023 commencing in-memory singleton removal
  75. Mon Dec 11 09:07:10 2023 begin with 12882090 relations and 13389957 unique ideals
  76. Mon Dec 11 09:07:11 2023 reduce to 12593026 relations and 11286985 ideals in 7 passes
  77. Mon Dec 11 09:07:11 2023 max relations containing the same ideal: 76
  78. Mon Dec 11 09:07:15 2023 removing 2691975 relations and 1733933 ideals in 958042 cliques
  79. Mon Dec 11 09:07:15 2023 commencing in-memory singleton removal
  80. Mon Dec 11 09:07:16 2023 begin with 9901051 relations and 11286985 unique ideals
  81. Mon Dec 11 09:07:16 2023 reduce to 9561613 relations and 9192009 ideals in 8 passes
  82. Mon Dec 11 09:07:16 2023 max relations containing the same ideal: 64
  83. Mon Dec 11 09:07:19 2023 removing 121581 relations and 99976 ideals in 21605 cliques
  84. Mon Dec 11 09:07:19 2023 commencing in-memory singleton removal
  85. Mon Dec 11 09:07:19 2023 begin with 9440032 relations and 9192009 unique ideals
  86. Mon Dec 11 09:07:20 2023 reduce to 9438933 relations and 9090931 ideals in 5 passes
  87. Mon Dec 11 09:07:20 2023 max relations containing the same ideal: 64
  88. Mon Dec 11 09:07:21 2023 relations with 0 large ideals: 1006
  89. Mon Dec 11 09:07:21 2023 relations with 1 large ideals: 5311
  90. Mon Dec 11 09:07:21 2023 relations with 2 large ideals: 70833
  91. Mon Dec 11 09:07:21 2023 relations with 3 large ideals: 418554
  92. Mon Dec 11 09:07:21 2023 relations with 4 large ideals: 1295163
  93. Mon Dec 11 09:07:21 2023 relations with 5 large ideals: 2323041
  94. Mon Dec 11 09:07:21 2023 relations with 6 large ideals: 2576014
  95. Mon Dec 11 09:07:21 2023 relations with 7+ large ideals: 2749011
  96. Mon Dec 11 09:07:21 2023 commencing 2-way merge
  97. Mon Dec 11 09:07:24 2023 reduce to 6399199 relation sets and 6051197 unique ideals
  98. Mon Dec 11 09:07:24 2023 commencing full merge
  99. Mon Dec 11 09:09:01 2023 memory use: 784.3 MB
  100. Mon Dec 11 09:09:02 2023 found 2812726 cycles, need 2797397
  101. Mon Dec 11 09:09:02 2023 weight of 2797397 cycles is about 364011950 (130.13/cycle)
  102. Mon Dec 11 09:09:02 2023 distribution of cycle lengths:
  103. Mon Dec 11 09:09:02 2023 1 relations: 51616
  104. Mon Dec 11 09:09:02 2023 2 relations: 128230
  105. Mon Dec 11 09:09:02 2023 3 relations: 171449
  106. Mon Dec 11 09:09:02 2023 4 relations: 190243
  107. Mon Dec 11 09:09:02 2023 5 relations: 206762
  108. Mon Dec 11 09:09:02 2023 6 relations: 210082
  109. Mon Dec 11 09:09:02 2023 7 relations: 210742
  110. Mon Dec 11 09:09:02 2023 8 relations: 204099
  111. Mon Dec 11 09:09:02 2023 9 relations: 192683
  112. Mon Dec 11 09:09:02 2023 10+ relations: 1231491
  113. Mon Dec 11 09:09:02 2023 heaviest cycle: 28 relations
  114. Mon Dec 11 09:09:03 2023 commencing cycle optimization
  115. Mon Dec 11 09:09:07 2023 start with 26683235 relations
  116. Mon Dec 11 09:09:50 2023 pruned 1505335 relations
  117. Mon Dec 11 09:09:50 2023 memory use: 665.8 MB
  118. Mon Dec 11 09:09:50 2023 distribution of cycle lengths:
  119. Mon Dec 11 09:09:50 2023 1 relations: 51616
  120. Mon Dec 11 09:09:50 2023 2 relations: 132438
  121. Mon Dec 11 09:09:50 2023 3 relations: 180211
  122. Mon Dec 11 09:09:50 2023 4 relations: 200428
  123. Mon Dec 11 09:09:50 2023 5 relations: 220184
  124. Mon Dec 11 09:09:50 2023 6 relations: 224049
  125. Mon Dec 11 09:09:50 2023 7 relations: 225719
  126. Mon Dec 11 09:09:50 2023 8 relations: 217640
  127. Mon Dec 11 09:09:50 2023 9 relations: 204959
  128. Mon Dec 11 09:09:50 2023 10+ relations: 1140153
  129. Mon Dec 11 09:09:50 2023 heaviest cycle: 28 relations
  130. Mon Dec 11 09:09:53 2023 RelProcTime: 684
  131. Mon Dec 11 09:09:53 2023
  132. Mon Dec 11 09:09:53 2023 commencing linear algebra
  133. Mon Dec 11 09:09:53 2023 using VBITS=256
  134. Mon Dec 11 09:09:54 2023 read 2797397 cycles
  135. Mon Dec 11 09:09:57 2023 cycles contain 9274150 unique relations
  136. Mon Dec 11 09:10:49 2023 read 9274150 relations
  137. Mon Dec 11 09:10:54 2023 using 20 quadratic characters above 4294917295
  138. Mon Dec 11 09:11:03 2023 building initial matrix
  139. Mon Dec 11 09:12:27 2023 memory use: 1303.8 MB
  140. Mon Dec 11 09:12:28 2023 read 2797397 cycles
  141. Mon Dec 11 09:12:28 2023 matrix is 2797220 x 2797397 (1396.5 MB) with weight 429287494 (153.46/col)
  142. Mon Dec 11 09:12:28 2023 sparse part has weight 332512380 (118.86/col)
  143. Mon Dec 11 09:12:47 2023 filtering completed in 2 passes
  144. Mon Dec 11 09:12:48 2023 matrix is 2797174 x 2797351 (1396.5 MB) with weight 429284494 (153.46/col)
  145. Mon Dec 11 09:12:48 2023 sparse part has weight 332511089 (118.87/col)
  146. Mon Dec 11 09:12:52 2023 matrix starts at (0, 0)
  147. Mon Dec 11 09:12:52 2023 matrix is 2797174 x 2797351 (1396.5 MB) with weight 429284494 (153.46/col)
  148. Mon Dec 11 09:12:52 2023 sparse part has weight 332511089 (118.87/col)
  149. Mon Dec 11 09:12:52 2023 saving the first 240 matrix rows for later
  150. Mon Dec 11 09:12:53 2023 matrix includes 256 packed rows
  151. Mon Dec 11 09:12:53 2023 matrix is 2796934 x 2797351 (1246.0 MB) with weight 302954749 (108.30/col)
  152. Mon Dec 11 09:12:53 2023 sparse part has weight 281886664 (100.77/col)
  153. Mon Dec 11 09:12:53 2023 using block size 8192 and superblock size 294912 for processor cache size 12288 kB
  154. Mon Dec 11 09:12:58 2023 commencing Lanczos iteration (4 threads)
  155. Mon Dec 11 09:12:58 2023 memory use: 1666.5 MB
  156. Mon Dec 11 09:14:58 2023 linear algebra at 1.1%, ETA 2h59m
  157. Mon Dec 11 09:17:58 2023 checking every 10000 dimensions, checkpointing every 930000 dimensions
  158. Mon Dec 11 12:27:57 2023 lanczos halted after 10959 iterations (dim = 2796934)
  159. Mon Dec 11 12:28:04 2023 recovered 30 nontrivial dependencies
  160. Mon Dec 11 12:28:04 2023 BLanczosTime: 11891
  161. Mon Dec 11 12:28:04 2023
  162. Mon Dec 11 12:28:04 2023 commencing square root phase
  163. Mon Dec 11 12:28:04 2023 handling dependencies 1 to 64
  164. Mon Dec 11 12:28:04 2023 reading relations for dependency 1
  165. Mon Dec 11 12:28:04 2023 read 1398210 cycles
  166. Mon Dec 11 12:28:06 2023 cycles contain 4637904 unique relations
  167. Mon Dec 11 12:28:53 2023 read 4637904 relations
  168. Mon Dec 11 12:29:05 2023 multiplying 4637904 relations
  169. Mon Dec 11 12:30:05 2023 multiply complete, coefficients have about 234.83 million bits
  170. Mon Dec 11 12:30:06 2023 initial square root is modulo 267630383
  171. Mon Dec 11 12:31:34 2023 Newton iteration failed to converge
  172. Mon Dec 11 12:31:34 2023 algebraic square root failed
  173. Mon Dec 11 12:31:34 2023 reading relations for dependency 2
  174. Mon Dec 11 12:31:35 2023 read 1398587 cycles
  175. Mon Dec 11 12:31:36 2023 cycles contain 4637544 unique relations
  176. Mon Dec 11 12:32:23 2023 read 4637544 relations
  177. Mon Dec 11 12:32:35 2023 multiplying 4637544 relations
  178. Mon Dec 11 12:33:35 2023 multiply complete, coefficients have about 234.82 million bits
  179. Mon Dec 11 12:33:36 2023 initial square root is modulo 267397649
  180. Mon Dec 11 12:36:50 2023 sqrtTime: 526
  181. Mon Dec 11 12:36:50 2023 p55 factor: 3382242980855887173345559108415459858968560891874107493
  182. Mon Dec 11 12:36:50 2023 p100 factor: 1033040232026748499538427253883221341260891515166871803230631251251306476211274720836145200012152437
  183. Mon Dec 11 12:36:50 2023 elapsed time 03:38:21
  184.  
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