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Nov 14th, 2022
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  1. Mon Nov 14 02:54:22 2022
  2. Mon Nov 14 02:54:22 2022
  3. Mon Nov 14 02:54:22 2022 Msieve v. 1.54 (SVN unknown)
  4. Mon Nov 14 02:54:22 2022 random seeds: 6809832e b2caffed
  5. Mon Nov 14 02:54:22 2022 factoring 7845967793005921690622436640192692982042191568089606222289327899554699701621252895350573114959332843453700919205606533295512882408586851695721282051854397469 (157 digits)
  6. Mon Nov 14 02:54:22 2022 searching for 15-digit factors
  7. Mon Nov 14 02:54:23 2022 commencing number field sieve (157-digit input)
  8. Mon Nov 14 02:54:23 2022 R0: -3128111619787338153981181074292
  9. Mon Nov 14 02:54:23 2022 R1: 420861561324494663
  10. Mon Nov 14 02:54:23 2022 A0: -5444947165941661473642338193118281045
  11. Mon Nov 14 02:54:23 2022 A1: 396150510965362976849023064221412
  12. Mon Nov 14 02:54:23 2022 A2: -26566404122149972924210568
  13. Mon Nov 14 02:54:23 2022 A3: -6829472093839167472
  14. Mon Nov 14 02:54:23 2022 A4: 148737121717
  15. Mon Nov 14 02:54:23 2022 A5: 26196
  16. Mon Nov 14 02:54:23 2022 skew 10653561.04, size 2.772e-15, alpha -6.514, combined = 2.071e-12 rroots = 3
  17. Mon Nov 14 02:54:23 2022
  18. Mon Nov 14 02:54:23 2022 commencing relation filtering
  19. Mon Nov 14 02:54:23 2022 setting target matrix density to 120.0
  20. Mon Nov 14 02:54:23 2022 estimated available RAM is 15728.3 MB
  21. Mon Nov 14 02:54:23 2022 commencing duplicate removal, pass 1
  22. Mon Nov 14 02:54:55 2022 error -1 reading relation 13101023
  23. Mon Nov 14 02:56:51 2022 error -15 reading relation 35503280
  24. Mon Nov 14 02:57:38 2022 error -9 reading relation 41004992
  25. Mon Nov 14 02:57:46 2022 error -5 reading relation 41998070
  26. Mon Nov 14 02:57:55 2022 error -9 reading relation 43013490
  27. Mon Nov 14 02:59:30 2022 error -9 reading relation 55328089
  28. Mon Nov 14 02:59:57 2022 error -15 reading relation 58982152
  29. Mon Nov 14 02:59:57 2022 error -1 reading relation 58984817
  30. Mon Nov 14 02:59:58 2022 error -15 reading relation 58999690
  31. Mon Nov 14 03:00:14 2022 skipped 5 relations with composite factors
  32. Mon Nov 14 03:00:14 2022 found 13553443 hash collisions in 60902967 relations
  33. Mon Nov 14 03:00:54 2022 commencing duplicate removal, pass 2
  34. Mon Nov 14 03:02:43 2022 found 13936585 duplicates and 46966382 unique relations
  35. Mon Nov 14 03:02:43 2022 memory use: 330.4 MB
  36. Mon Nov 14 03:02:43 2022 reading ideals above 720000
  37. Mon Nov 14 03:02:43 2022 commencing singleton removal, initial pass
  38. Mon Nov 14 03:08:53 2022 memory use: 1378.0 MB
  39. Mon Nov 14 03:08:53 2022 reading all ideals from disk
  40. Mon Nov 14 03:08:55 2022 memory use: 2051.6 MB
  41. Mon Nov 14 03:08:58 2022 keeping 46087656 ideals with weight <= 200, target excess is 257164
  42. Mon Nov 14 03:09:03 2022 commencing in-memory singleton removal
  43. Mon Nov 14 03:09:06 2022 begin with 46966382 relations and 46087656 unique ideals
  44. Mon Nov 14 03:09:28 2022 reduce to 27616418 relations and 24523959 ideals in 15 passes
  45. Mon Nov 14 03:09:28 2022 max relations containing the same ideal: 149
  46. Mon Nov 14 03:09:43 2022 removing 2654829 relations and 2254829 ideals in 400000 cliques
  47. Mon Nov 14 03:09:44 2022 commencing in-memory singleton removal
  48. Mon Nov 14 03:09:46 2022 begin with 24961589 relations and 24523959 unique ideals
  49. Mon Nov 14 03:09:54 2022 reduce to 24773680 relations and 22077778 ideals in 9 passes
  50. Mon Nov 14 03:09:54 2022 max relations containing the same ideal: 137
  51. Mon Nov 14 03:10:09 2022 removing 2005897 relations and 1605897 ideals in 400000 cliques
  52. Mon Nov 14 03:10:11 2022 commencing in-memory singleton removal
  53. Mon Nov 14 03:10:12 2022 begin with 22767783 relations and 22077778 unique ideals
  54. Mon Nov 14 03:10:19 2022 reduce to 22645445 relations and 20347606 ideals in 8 passes
  55. Mon Nov 14 03:10:19 2022 max relations containing the same ideal: 130
  56. Mon Nov 14 03:10:31 2022 removing 1809442 relations and 1409442 ideals in 400000 cliques
  57. Mon Nov 14 03:10:33 2022 commencing in-memory singleton removal
  58. Mon Nov 14 03:10:34 2022 begin with 20836003 relations and 20347606 unique ideals
  59. Mon Nov 14 03:10:40 2022 reduce to 20726457 relations and 18826865 ideals in 7 passes
  60. Mon Nov 14 03:10:40 2022 max relations containing the same ideal: 120
  61. Mon Nov 14 03:10:51 2022 removing 1707973 relations and 1307973 ideals in 400000 cliques
  62. Mon Nov 14 03:10:53 2022 commencing in-memory singleton removal
  63. Mon Nov 14 03:10:54 2022 begin with 19018484 relations and 18826865 unique ideals
  64. Mon Nov 14 03:10:59 2022 reduce to 18913284 relations and 17411933 ideals in 7 passes
  65. Mon Nov 14 03:10:59 2022 max relations containing the same ideal: 112
  66. Mon Nov 14 03:11:10 2022 removing 1643596 relations and 1243596 ideals in 400000 cliques
  67. Mon Nov 14 03:11:12 2022 commencing in-memory singleton removal
  68. Mon Nov 14 03:11:13 2022 begin with 17269688 relations and 17411933 unique ideals
  69. Mon Nov 14 03:11:18 2022 reduce to 17164565 relations and 16061320 ideals in 8 passes
  70. Mon Nov 14 03:11:18 2022 max relations containing the same ideal: 106
  71. Mon Nov 14 03:11:28 2022 removing 1604889 relations and 1204889 ideals in 400000 cliques
  72. Mon Nov 14 03:11:30 2022 commencing in-memory singleton removal
  73. Mon Nov 14 03:11:31 2022 begin with 15559676 relations and 16061320 unique ideals
  74. Mon Nov 14 03:11:35 2022 reduce to 15449982 relations and 14744560 ideals in 8 passes
  75. Mon Nov 14 03:11:35 2022 max relations containing the same ideal: 97
  76. Mon Nov 14 03:11:44 2022 removing 1577083 relations and 1177083 ideals in 400000 cliques
  77. Mon Nov 14 03:11:45 2022 commencing in-memory singleton removal
  78. Mon Nov 14 03:11:46 2022 begin with 13872899 relations and 14744560 unique ideals
  79. Mon Nov 14 03:11:51 2022 reduce to 13755731 relations and 13447741 ideals in 9 passes
  80. Mon Nov 14 03:11:51 2022 max relations containing the same ideal: 89
  81. Mon Nov 14 03:11:58 2022 removing 70222 relations and 60543 ideals in 9679 cliques
  82. Mon Nov 14 03:11:59 2022 commencing in-memory singleton removal
  83. Mon Nov 14 03:12:00 2022 begin with 13685509 relations and 13447741 unique ideals
  84. Mon Nov 14 03:12:03 2022 reduce to 13685309 relations and 13386998 ideals in 6 passes
  85. Mon Nov 14 03:12:03 2022 max relations containing the same ideal: 89
  86. Mon Nov 14 03:12:07 2022 relations with 0 large ideals: 863
  87. Mon Nov 14 03:12:07 2022 relations with 1 large ideals: 2564
  88. Mon Nov 14 03:12:07 2022 relations with 2 large ideals: 38981
  89. Mon Nov 14 03:12:07 2022 relations with 3 large ideals: 284289
  90. Mon Nov 14 03:12:07 2022 relations with 4 large ideals: 1112538
  91. Mon Nov 14 03:12:07 2022 relations with 5 large ideals: 2585278
  92. Mon Nov 14 03:12:07 2022 relations with 6 large ideals: 3726816
  93. Mon Nov 14 03:12:07 2022 relations with 7+ large ideals: 5933980
  94. Mon Nov 14 03:12:07 2022 commencing 2-way merge
  95. Mon Nov 14 03:12:18 2022 reduce to 8877980 relation sets and 8579669 unique ideals
  96. Mon Nov 14 03:12:18 2022 commencing full merge
  97. Mon Nov 14 03:16:25 2022 memory use: 1081.7 MB
  98. Mon Nov 14 03:16:26 2022 found 3941036 cycles, need 3927869
  99. Mon Nov 14 03:16:27 2022 weight of 3927869 cycles is about 471812423 (120.12/cycle)
  100. Mon Nov 14 03:16:27 2022 distribution of cycle lengths:
  101. Mon Nov 14 03:16:27 2022 1 relations: 167586
  102. Mon Nov 14 03:16:27 2022 2 relations: 248926
  103. Mon Nov 14 03:16:27 2022 3 relations: 291256
  104. Mon Nov 14 03:16:27 2022 4 relations: 295727
  105. Mon Nov 14 03:16:27 2022 5 relations: 298036
  106. Mon Nov 14 03:16:27 2022 6 relations: 288718
  107. Mon Nov 14 03:16:27 2022 7 relations: 280195
  108. Mon Nov 14 03:16:27 2022 8 relations: 262523
  109. Mon Nov 14 03:16:27 2022 9 relations: 246291
  110. Mon Nov 14 03:16:27 2022 10+ relations: 1548611
  111. Mon Nov 14 03:16:27 2022 heaviest cycle: 28 relations
  112. Mon Nov 14 03:16:28 2022 commencing cycle optimization
  113. Mon Nov 14 03:16:35 2022 start with 34660242 relations
  114. Mon Nov 14 03:18:09 2022 pruned 1583386 relations
  115. Mon Nov 14 03:18:10 2022 memory use: 922.9 MB
  116. Mon Nov 14 03:18:10 2022 distribution of cycle lengths:
  117. Mon Nov 14 03:18:10 2022 1 relations: 167586
  118. Mon Nov 14 03:18:10 2022 2 relations: 256313
  119. Mon Nov 14 03:18:10 2022 3 relations: 305121
  120. Mon Nov 14 03:18:10 2022 4 relations: 308452
  121. Mon Nov 14 03:18:10 2022 5 relations: 313461
  122. Mon Nov 14 03:18:10 2022 6 relations: 302271
  123. Mon Nov 14 03:18:10 2022 7 relations: 293748
  124. Mon Nov 14 03:18:10 2022 8 relations: 274052
  125. Mon Nov 14 03:18:10 2022 9 relations: 255681
  126. Mon Nov 14 03:18:10 2022 10+ relations: 1451184
  127. Mon Nov 14 03:18:10 2022 heaviest cycle: 28 relations
  128. Mon Nov 14 03:18:15 2022 RelProcTime: 1432
  129. Mon Nov 14 03:18:15 2022
  130. Mon Nov 14 03:18:15 2022 commencing linear algebra
  131. Mon Nov 14 03:18:15 2022 using VBITS=256
  132. Mon Nov 14 03:18:15 2022 read 3927869 cycles
  133. Mon Nov 14 03:18:21 2022 cycles contain 13514729 unique relations
  134. Mon Nov 14 03:20:18 2022 read 13514729 relations
  135. Mon Nov 14 03:20:31 2022 using 20 quadratic characters above 4294917295
  136. Mon Nov 14 03:20:45 2022 building initial matrix
  137. Mon Nov 14 03:23:14 2022 memory use: 1835.8 MB
  138. Mon Nov 14 03:23:16 2022 read 3927869 cycles
  139. Mon Nov 14 03:23:17 2022 matrix is 3927691 x 3927869 (1852.3 MB) with weight 561715038 (143.01/col)
  140. Mon Nov 14 03:23:17 2022 sparse part has weight 438439036 (111.62/col)
  141. Mon Nov 14 03:23:55 2022 filtering completed in 2 passes
  142. Mon Nov 14 03:23:56 2022 matrix is 3927628 x 3927806 (1852.3 MB) with weight 561712246 (143.01/col)
  143. Mon Nov 14 03:23:56 2022 sparse part has weight 438438388 (111.62/col)
  144. Mon Nov 14 03:24:02 2022 matrix starts at (0, 0)
  145. Mon Nov 14 03:24:03 2022 matrix is 3927628 x 3927806 (1852.3 MB) with weight 561712246 (143.01/col)
  146. Mon Nov 14 03:24:03 2022 sparse part has weight 438438388 (111.62/col)
  147. Mon Nov 14 03:24:03 2022 saving the first 240 matrix rows for later
  148. Mon Nov 14 03:24:04 2022 matrix includes 256 packed rows
  149. Mon Nov 14 03:24:04 2022 matrix is 3927388 x 3927806 (1650.3 MB) with weight 397251463 (101.14/col)
  150. Mon Nov 14 03:24:04 2022 sparse part has weight 369784239 (94.15/col)
  151. Mon Nov 14 03:24:04 2022 using block size 8192 and superblock size 294912 for processor cache size 12288 kB
  152. Mon Nov 14 03:24:11 2022 commencing Lanczos iteration (4 threads)
  153. Mon Nov 14 03:24:11 2022 memory use: 2259.5 MB
  154. Mon Nov 14 03:29:24 2022 linear algebra at 0.8%, ETA 11h 1m
  155. Mon Nov 14 03:34:49 2022 checking every 10000 dimensions, checkpointing every 440000 dimensions
  156. Mon Nov 14 09:57:34 2022 lanczos halted after 15389 iterations (dim = 3927387)
  157. Mon Nov 14 09:57:52 2022 recovered 31 nontrivial dependencies
  158. Mon Nov 14 09:57:52 2022 BLanczosTime: 23977
  159. Mon Nov 14 09:57:52 2022
  160. Mon Nov 14 09:57:52 2022 commencing square root phase
  161. Mon Nov 14 09:57:52 2022 handling dependencies 1 to 64
  162. Mon Nov 14 09:57:52 2022 reading relations for dependency 1
  163. Mon Nov 14 09:57:53 2022 read 1963757 cycles
  164. Mon Nov 14 09:57:55 2022 cycles contain 6756332 unique relations
  165. Mon Nov 14 09:59:02 2022 read 6756332 relations
  166. Mon Nov 14 09:59:27 2022 multiplying 6756332 relations
  167. Mon Nov 14 10:01:36 2022 multiply complete, coefficients have about 339.36 million bits
  168. Mon Nov 14 10:01:38 2022 initial square root is modulo 1228001
  169. Mon Nov 14 10:04:50 2022 GCD is N, no factor found
  170. Mon Nov 14 10:04:50 2022 reading relations for dependency 2
  171. Mon Nov 14 10:04:51 2022 read 1964679 cycles
  172. Mon Nov 14 10:04:53 2022 cycles contain 6759794 unique relations
  173. Mon Nov 14 10:05:57 2022 read 6759794 relations
  174. Mon Nov 14 10:06:17 2022 multiplying 6759794 relations
  175. Mon Nov 14 10:08:43 2022 multiply complete, coefficients have about 339.53 million bits
  176. Mon Nov 14 10:08:44 2022 initial square root is modulo 1236959
  177. Mon Nov 14 10:12:11 2022 sqrtTime: 859
  178. Mon Nov 14 10:12:11 2022 p69 factor: 164284720747246174450840472610485525702641698054025235883889006997587
  179. Mon Nov 14 10:12:11 2022 p89 factor: 47758353651627945839230370961766431290784101022303219518699583260990612026720488845070287
  180. Mon Nov 14 10:12:11 2022 elapsed time 07:17:49
  181.  
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