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Mar 28th, 2024
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  1. Fri Mar 29 00:31:01 2024
  2. Fri Mar 29 00:31:01 2024
  3. Fri Mar 29 00:31:01 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Mar 29 00:31:01 2024 random seeds: 54dee894 5ef62c16
  5. Fri Mar 29 00:31:01 2024 Using 32 OpenMP threads
  6. Fri Mar 29 00:31:01 2024 factoring 25263801150207318326454880987409577206273862008688923718286973683593526555503034239831601281640935559890541102643702414539780903461587383775912339995329899449 (158 digits)
  7. Fri Mar 29 00:31:02 2024 searching for 15-digit factors
  8. Fri Mar 29 00:31:02 2024 commencing number field sieve (158-digit input)
  9. Fri Mar 29 00:31:02 2024 R0: -4216307168340683618345247732619
  10. Fri Mar 29 00:31:02 2024 R1: 89824264529696141
  11. Fri Mar 29 00:31:02 2024 A0: -140438554733386703956709846649882692160
  12. Fri Mar 29 00:31:02 2024 A1: 30304553257598031988163201030178
  13. Fri Mar 29 00:31:02 2024 A2: 52532985714051162327496519
  14. Fri Mar 29 00:31:02 2024 A3: -4146830551098687140
  15. Fri Mar 29 00:31:02 2024 A4: -1747008458092
  16. Fri Mar 29 00:31:02 2024 A5: 18960
  17. Fri Mar 29 00:31:02 2024 skew 5995422.33, size 2.520e-15, alpha -6.780, combined = 1.958e-12 rroots = 5
  18. Fri Mar 29 00:31:02 2024
  19. Fri Mar 29 00:31:02 2024 commencing relation filtering
  20. Fri Mar 29 00:31:02 2024 setting target matrix density to 120.0
  21. Fri Mar 29 00:31:02 2024 estimated available RAM is 515996.3 MB
  22. Fri Mar 29 00:31:02 2024 commencing duplicate removal, pass 1
  23. Fri Mar 29 00:31:44 2024 error -1 reading relation 22445786
  24. Fri Mar 29 00:31:52 2024 error -1 reading relation 26881090
  25. Fri Mar 29 00:32:06 2024 error -1 reading relation 34423122
  26. Fri Mar 29 00:32:38 2024 error -1 reading relation 51559139
  27. Fri Mar 29 00:32:45 2024 error -1 reading relation 55207698
  28. Fri Mar 29 00:32:51 2024 skipped 65 malformed relations
  29. Fri Mar 29 00:32:51 2024 found 12471686 hash collisions in 58532132 relations
  30. Fri Mar 29 00:33:22 2024 commencing duplicate removal, pass 2
  31. Fri Mar 29 00:34:48 2024 found 12668655 duplicates and 45863477 unique relations
  32. Fri Mar 29 00:34:48 2024 memory use: 362.4 MB
  33. Fri Mar 29 00:34:48 2024 reading ideals above 720000
  34. Fri Mar 29 00:34:48 2024 commencing singleton removal, initial pass
  35. Fri Mar 29 00:37:48 2024 memory use: 1378.0 MB
  36. Fri Mar 29 00:37:48 2024 reading all ideals from disk
  37. Fri Mar 29 00:37:49 2024 memory use: 2011.4 MB
  38. Fri Mar 29 00:37:54 2024 keeping 45806939 ideals with weight <= 200, target excess is 250408
  39. Fri Mar 29 00:37:59 2024 commencing in-memory singleton removal
  40. Fri Mar 29 00:38:00 2024 begin with 45863477 relations and 45806939 unique ideals
  41. Fri Mar 29 00:38:03 2024 reduce to 26077164 relations and 23668372 ideals in 15 passes
  42. Fri Mar 29 00:38:03 2024 max relations containing the same ideal: 145
  43. Fri Mar 29 00:38:12 2024 removing 2733564 relations and 2333564 ideals in 400000 cliques
  44. Fri Mar 29 00:38:13 2024 commencing in-memory singleton removal
  45. Fri Mar 29 00:38:13 2024 begin with 23343600 relations and 23668372 unique ideals
  46. Fri Mar 29 00:38:15 2024 reduce to 23129938 relations and 21116942 ideals in 9 passes
  47. Fri Mar 29 00:38:15 2024 max relations containing the same ideal: 134
  48. Fri Mar 29 00:38:24 2024 removing 2063758 relations and 1663758 ideals in 400000 cliques
  49. Fri Mar 29 00:38:25 2024 commencing in-memory singleton removal
  50. Fri Mar 29 00:38:26 2024 begin with 21066180 relations and 21116942 unique ideals
  51. Fri Mar 29 00:38:26 2024 reduce to 20926076 relations and 19310737 ideals in 7 passes
  52. Fri Mar 29 00:38:26 2024 max relations containing the same ideal: 127
  53. Fri Mar 29 00:38:35 2024 removing 1857476 relations and 1457476 ideals in 400000 cliques
  54. Fri Mar 29 00:38:36 2024 commencing in-memory singleton removal
  55. Fri Mar 29 00:38:36 2024 begin with 19068600 relations and 19310737 unique ideals
  56. Fri Mar 29 00:38:37 2024 reduce to 18944568 relations and 17727040 ideals in 8 passes
  57. Fri Mar 29 00:38:37 2024 max relations containing the same ideal: 118
  58. Fri Mar 29 00:38:44 2024 removing 1752319 relations and 1352319 ideals in 400000 cliques
  59. Fri Mar 29 00:38:45 2024 commencing in-memory singleton removal
  60. Fri Mar 29 00:38:46 2024 begin with 17192249 relations and 17727040 unique ideals
  61. Fri Mar 29 00:38:46 2024 reduce to 17072855 relations and 16253119 ideals in 7 passes
  62. Fri Mar 29 00:38:46 2024 max relations containing the same ideal: 110
  63. Fri Mar 29 00:38:52 2024 removing 1686711 relations and 1286711 ideals in 400000 cliques
  64. Fri Mar 29 00:38:53 2024 commencing in-memory singleton removal
  65. Fri Mar 29 00:38:53 2024 begin with 15386144 relations and 16253119 unique ideals
  66. Fri Mar 29 00:38:53 2024 reduce to 15262859 relations and 14840611 ideals in 6 passes
  67. Fri Mar 29 00:38:53 2024 max relations containing the same ideal: 101
  68. Fri Mar 29 00:38:58 2024 removing 675334 relations and 543560 ideals in 131774 cliques
  69. Fri Mar 29 00:38:59 2024 commencing in-memory singleton removal
  70. Fri Mar 29 00:38:59 2024 begin with 14587525 relations and 14840611 unique ideals
  71. Fri Mar 29 00:39:00 2024 reduce to 14567864 relations and 14277211 ideals in 8 passes
  72. Fri Mar 29 00:39:00 2024 max relations containing the same ideal: 99
  73. Fri Mar 29 00:39:06 2024 relations with 0 large ideals: 842
  74. Fri Mar 29 00:39:06 2024 relations with 1 large ideals: 2165
  75. Fri Mar 29 00:39:06 2024 relations with 2 large ideals: 32776
  76. Fri Mar 29 00:39:06 2024 relations with 3 large ideals: 250491
  77. Fri Mar 29 00:39:06 2024 relations with 4 large ideals: 1036851
  78. Fri Mar 29 00:39:06 2024 relations with 5 large ideals: 2547312
  79. Fri Mar 29 00:39:06 2024 relations with 6 large ideals: 3891686
  80. Fri Mar 29 00:39:06 2024 relations with 7+ large ideals: 6805741
  81. Fri Mar 29 00:39:06 2024 commencing 2-way merge
  82. Fri Mar 29 00:39:14 2024 reduce to 9441277 relation sets and 9150624 unique ideals
  83. Fri Mar 29 00:39:14 2024 commencing full merge
  84. Fri Mar 29 00:42:19 2024 memory use: 1164.1 MB
  85. Fri Mar 29 00:42:19 2024 found 4183870 cycles, need 4174824
  86. Fri Mar 29 00:42:21 2024 weight of 4174824 cycles is about 501051932 (120.02/cycle)
  87. Fri Mar 29 00:42:21 2024 distribution of cycle lengths:
  88. Fri Mar 29 00:42:21 2024 1 relations: 180185
  89. Fri Mar 29 00:42:21 2024 2 relations: 269968
  90. Fri Mar 29 00:42:21 2024 3 relations: 316433
  91. Fri Mar 29 00:42:21 2024 4 relations: 316997
  92. Fri Mar 29 00:42:21 2024 5 relations: 316646
  93. Fri Mar 29 00:42:21 2024 6 relations: 302286
  94. Fri Mar 29 00:42:21 2024 7 relations: 291671
  95. Fri Mar 29 00:42:21 2024 8 relations: 270281
  96. Fri Mar 29 00:42:21 2024 9 relations: 253939
  97. Fri Mar 29 00:42:21 2024 10+ relations: 1656418
  98. Fri Mar 29 00:42:21 2024 heaviest cycle: 28 relations
  99. Fri Mar 29 00:42:21 2024 commencing cycle optimization
  100. Fri Mar 29 00:42:28 2024 start with 37056379 relations
  101. Fri Mar 29 00:43:39 2024 pruned 1662328 relations
  102. Fri Mar 29 00:43:39 2024 memory use: 984.9 MB
  103. Fri Mar 29 00:43:39 2024 distribution of cycle lengths:
  104. Fri Mar 29 00:43:39 2024 1 relations: 180185
  105. Fri Mar 29 00:43:39 2024 2 relations: 278064
  106. Fri Mar 29 00:43:39 2024 3 relations: 331371
  107. Fri Mar 29 00:43:39 2024 4 relations: 331182
  108. Fri Mar 29 00:43:39 2024 5 relations: 332217
  109. Fri Mar 29 00:43:39 2024 6 relations: 316105
  110. Fri Mar 29 00:43:39 2024 7 relations: 304278
  111. Fri Mar 29 00:43:39 2024 8 relations: 281028
  112. Fri Mar 29 00:43:39 2024 9 relations: 263414
  113. Fri Mar 29 00:43:39 2024 10+ relations: 1556980
  114. Fri Mar 29 00:43:39 2024 heaviest cycle: 28 relations
  115. Fri Mar 29 00:43:44 2024 RelProcTime: 762
  116. Fri Mar 29 00:43:44 2024 elapsed time 00:12:43
  117. Fri Mar 29 00:45:24 2024
  118. Fri Mar 29 00:45:24 2024
  119. Fri Mar 29 00:45:24 2024 Msieve v. 1.54 (SVN Unversioned directory)
  120. Fri Mar 29 00:45:24 2024 random seeds: 788a2f5c d11be8ba
  121. Fri Mar 29 00:45:24 2024 Using 64 OpenMP threads
  122. Fri Mar 29 00:45:24 2024 factoring 25263801150207318326454880987409577206273862008688923718286973683593526555503034239831601281640935559890541102643702414539780903461587383775912339995329899449 (158 digits)
  123. Fri Mar 29 00:45:25 2024 searching for 15-digit factors
  124. Fri Mar 29 00:45:26 2024 commencing number field sieve (158-digit input)
  125. Fri Mar 29 00:45:26 2024 R0: -4216307168340683618345247732619
  126. Fri Mar 29 00:45:26 2024 R1: 89824264529696141
  127. Fri Mar 29 00:45:26 2024 A0: -140438554733386703956709846649882692160
  128. Fri Mar 29 00:45:26 2024 A1: 30304553257598031988163201030178
  129. Fri Mar 29 00:45:26 2024 A2: 52532985714051162327496519
  130. Fri Mar 29 00:45:26 2024 A3: -4146830551098687140
  131. Fri Mar 29 00:45:26 2024 A4: -1747008458092
  132. Fri Mar 29 00:45:26 2024 A5: 18960
  133. Fri Mar 29 00:45:26 2024 skew 5995422.33, size 2.520e-15, alpha -6.780, combined = 1.958e-12 rroots = 5
  134. Fri Mar 29 00:45:26 2024
  135. Fri Mar 29 00:45:26 2024 commencing linear algebra
  136. Fri Mar 29 00:45:26 2024 using VBITS=256
  137. Fri Mar 29 00:45:26 2024 read 4174824 cycles
  138. Fri Mar 29 00:45:35 2024 cycles contain 14400850 unique relations
  139. Fri Mar 29 00:46:38 2024 read 14400850 relations
  140. Fri Mar 29 00:46:39 2024 using 20 quadratic characters above 4294917295
  141. Fri Mar 29 00:46:41 2024 building initial matrix
  142. Fri Mar 29 00:49:11 2024 memory use: 1939.4 MB
  143. Fri Mar 29 00:49:13 2024 read 4174824 cycles
  144. Fri Mar 29 00:49:13 2024 matrix is 4174646 x 4174824 (1966.5 MB) with weight 597766395 (143.18/col)
  145. Fri Mar 29 00:49:13 2024 sparse part has weight 465414822 (111.48/col)
  146. Fri Mar 29 00:49:56 2024 filtering completed in 2 passes
  147. Fri Mar 29 00:49:57 2024 matrix is 4174591 x 4174769 (1966.5 MB) with weight 597763802 (143.18/col)
  148. Fri Mar 29 00:49:57 2024 sparse part has weight 465414126 (111.48/col)
  149. Fri Mar 29 00:50:13 2024 matrix starts at (0, 0)
  150. Fri Mar 29 00:50:14 2024 matrix is 4174591 x 4174769 (1966.5 MB) with weight 597763802 (143.18/col)
  151. Fri Mar 29 00:50:14 2024 sparse part has weight 465414126 (111.48/col)
  152. Fri Mar 29 00:50:14 2024 saving the first 240 matrix rows for later
  153. Fri Mar 29 00:50:15 2024 matrix includes 256 packed rows
  154. Fri Mar 29 00:50:17 2024 matrix is 4174351 x 4174769 (1769.2 MB) with weight 424327245 (101.64/col)
  155. Fri Mar 29 00:50:17 2024 sparse part has weight 396983210 (95.09/col)
  156. Fri Mar 29 00:50:17 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  157. Fri Mar 29 00:50:26 2024 commencing Lanczos iteration (64 threads)
  158. Fri Mar 29 00:50:26 2024 memory use: 2423.0 MB
  159. Fri Mar 29 00:51:04 2024 linear algebra at 0.7%, ETA 1h23m
  160. Fri Mar 29 00:52:00 2024 checking every 40000 dimensions, checkpointing every 3000000 dimensions
  161. Fri Mar 29 02:12:33 2024 lanczos halted after 16356 iterations (dim = 4174350)
  162. Fri Mar 29 02:12:49 2024 recovered 29 nontrivial dependencies
  163. Fri Mar 29 02:12:50 2024 BLanczosTime: 5244
  164. Fri Mar 29 02:12:50 2024
  165. Fri Mar 29 02:12:50 2024 commencing square root phase
  166. Fri Mar 29 02:12:50 2024 reading relations for dependency 1
  167. Fri Mar 29 02:12:50 2024 read 2088238 cycles
  168. Fri Mar 29 02:12:53 2024 cycles contain 7205106 unique relations
  169. Fri Mar 29 02:13:42 2024 read 7205106 relations
  170. Fri Mar 29 02:14:04 2024 multiplying 7205106 relations
  171. Fri Mar 29 02:16:39 2024 multiply complete, coefficients have about 377.94 million bits
  172. Fri Mar 29 02:16:40 2024 initial square root is modulo 6046771
  173. Fri Mar 29 02:19:31 2024 sqrtTime: 401
  174. Fri Mar 29 02:19:31 2024 p51 factor: 148474291870805883110903059962383884627927430393281
  175. Fri Mar 29 02:19:31 2024 p108 factor: 170156064271318301913925066773669319405770707951236004330616000035661550844838345395996060395521744621710329
  176. Fri Mar 29 02:19:31 2024 elapsed time 01:34:07
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