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Oct 11th, 2020
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  1. Mon Oct 12 09:13:20 2020
  2. Mon Oct 12 09:13:20 2020
  3. Mon Oct 12 09:13:20 2020 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Oct 12 09:13:20 2020 random seeds: 1abc9648 fe99576c
  5. Mon Oct 12 09:13:20 2020 factoring 208611733686081203488209817794216136260190995589824526992173892010853439450751320046237556200886962074188511831224050463010075109156016989397725837928488140216673709633523347097421418381084546172188713563017263194321770557 (222 digits)
  6. Mon Oct 12 09:13:21 2020 searching for 15-digit factors
  7. Mon Oct 12 09:13:21 2020 commencing number field sieve (222-digit input)
  8. Mon Oct 12 09:13:21 2020 R0: 343726735694460525098859484128025441266181922
  9. Mon Oct 12 09:13:21 2020 R1: -18539868815459847398161
  10. Mon Oct 12 09:13:21 2020 A0: 1
  11. Mon Oct 12 09:13:21 2020 A1: 3
  12. Mon Oct 12 09:13:21 2020 A2: -3
  13. Mon Oct 12 09:13:21 2020 A3: -4
  14. Mon Oct 12 09:13:21 2020 A4: 1
  15. Mon Oct 12 09:13:21 2020 A5: 1
  16. Mon Oct 12 09:13:21 2020 skew 1.00, size 3.632e-015, alpha 2.379, combined = 2.188e-012 rroots = 5
  17. Mon Oct 12 09:13:21 2020
  18. Mon Oct 12 09:13:21 2020 commencing relation filtering
  19. Mon Oct 12 09:13:21 2020 setting target matrix density to 110.0
  20. Mon Oct 12 09:13:21 2020 estimated available RAM is 32685.6 MB
  21. Mon Oct 12 09:13:21 2020 commencing duplicate removal, pass 1
  22. Mon Oct 12 09:14:51 2020 error -15 reading relation 14649355
  23. Mon Oct 12 09:15:10 2020 error -5 reading relation 17755497
  24. Mon Oct 12 09:15:20 2020 error -5 reading relation 19371508
  25. Mon Oct 12 09:15:46 2020 error -1 reading relation 23581119
  26. Mon Oct 12 09:15:54 2020 error -9 reading relation 24794412
  27. Mon Oct 12 09:15:54 2020 error -15 reading relation 24892868
  28. Mon Oct 12 09:17:01 2020 error -9 reading relation 35431663
  29. Mon Oct 12 09:17:05 2020 error -9 reading relation 36038773
  30. Mon Oct 12 09:17:13 2020 error -9 reading relation 37217019
  31. Mon Oct 12 09:18:01 2020 error -1 reading relation 44726302
  32. Mon Oct 12 09:18:02 2020 error -9 reading relation 44865162
  33. Mon Oct 12 09:18:21 2020 error -9 reading relation 47867541
  34. Mon Oct 12 09:18:24 2020 error -9 reading relation 48410633
  35. Mon Oct 12 09:18:31 2020 error -9 reading relation 49435576
  36. Mon Oct 12 09:18:44 2020 error -1 reading relation 51470940
  37. Mon Oct 12 09:18:44 2020 error -1 reading relation 51474881
  38. Mon Oct 12 09:18:47 2020 error -9 reading relation 51960978
  39. Mon Oct 12 09:18:50 2020 error -9 reading relation 52447924
  40. Mon Oct 12 09:18:53 2020 error -9 reading relation 52950290
  41. Mon Oct 12 09:18:57 2020 error -15 reading relation 53587316
  42. Mon Oct 12 09:18:57 2020 error -5 reading relation 53593228
  43. Mon Oct 12 09:19:34 2020 skipped 7 relations with b > 2^32
  44. Mon Oct 12 09:19:34 2020 skipped 11 relations with composite factors
  45. Mon Oct 12 09:19:34 2020 found 10667420 hash collisions in 58106518 relations
  46. Mon Oct 12 09:19:34 2020 commencing duplicate removal, pass 2
  47. Mon Oct 12 09:20:25 2020 found 10182372 duplicates and 47924146 unique relations
  48. Mon Oct 12 09:20:25 2020 memory use: 330.4 MB
  49. Mon Oct 12 09:20:25 2020 reading ideals above 720000
  50. Mon Oct 12 09:20:26 2020 commencing singleton removal, initial pass
  51. Mon Oct 12 09:25:19 2020 memory use: 1378.0 MB
  52. Mon Oct 12 09:25:19 2020 reading all ideals from disk
  53. Mon Oct 12 09:25:20 2020 memory use: 1728.7 MB
  54. Mon Oct 12 09:25:22 2020 keeping 46131011 ideals with weight <= 200, target excess is 250566
  55. Mon Oct 12 09:25:25 2020 commencing in-memory singleton removal
  56. Mon Oct 12 09:25:27 2020 begin with 47924146 relations and 46131011 unique ideals
  57. Mon Oct 12 09:25:50 2020 reduce to 29609223 relations and 25771612 ideals in 15 passes
  58. Mon Oct 12 09:25:50 2020 max relations containing the same ideal: 152
  59. Mon Oct 12 09:25:59 2020 removing 2685534 relations and 2285534 ideals in 400000 cliques
  60. Mon Oct 12 09:25:59 2020 commencing in-memory singleton removal
  61. Mon Oct 12 09:26:00 2020 begin with 26923689 relations and 25771612 unique ideals
  62. Mon Oct 12 09:26:11 2020 reduce to 26689471 relations and 23247359 ideals in 9 passes
  63. Mon Oct 12 09:26:11 2020 max relations containing the same ideal: 142
  64. Mon Oct 12 09:26:19 2020 removing 1987130 relations and 1587130 ideals in 400000 cliques
  65. Mon Oct 12 09:26:20 2020 commencing in-memory singleton removal
  66. Mon Oct 12 09:26:21 2020 begin with 24702341 relations and 23247359 unique ideals
  67. Mon Oct 12 09:26:31 2020 reduce to 24566637 relations and 21522336 ideals in 9 passes
  68. Mon Oct 12 09:26:31 2020 max relations containing the same ideal: 135
  69. Mon Oct 12 09:26:38 2020 removing 1782584 relations and 1382584 ideals in 400000 cliques
  70. Mon Oct 12 09:26:39 2020 commencing in-memory singleton removal
  71. Mon Oct 12 09:26:40 2020 begin with 22784053 relations and 21522336 unique ideals
  72. Mon Oct 12 09:26:47 2020 reduce to 22671177 relations and 20025060 ideals in 7 passes
  73. Mon Oct 12 09:26:47 2020 max relations containing the same ideal: 131
  74. Mon Oct 12 09:26:53 2020 removing 1674933 relations and 1274933 ideals in 400000 cliques
  75. Mon Oct 12 09:26:54 2020 commencing in-memory singleton removal
  76. Mon Oct 12 09:26:55 2020 begin with 20996244 relations and 20025060 unique ideals
  77. Mon Oct 12 09:27:01 2020 reduce to 20895059 relations and 18647311 ideals in 7 passes
  78. Mon Oct 12 09:27:01 2020 max relations containing the same ideal: 123
  79. Mon Oct 12 09:27:07 2020 removing 1606339 relations and 1206339 ideals in 400000 cliques
  80. Mon Oct 12 09:27:08 2020 commencing in-memory singleton removal
  81. Mon Oct 12 09:27:08 2020 begin with 19288720 relations and 18647311 unique ideals
  82. Mon Oct 12 09:27:15 2020 reduce to 19191018 relations and 17341557 ideals in 8 passes
  83. Mon Oct 12 09:27:15 2020 max relations containing the same ideal: 113
  84. Mon Oct 12 09:27:21 2020 removing 1557649 relations and 1157649 ideals in 400000 cliques
  85. Mon Oct 12 09:27:21 2020 commencing in-memory singleton removal
  86. Mon Oct 12 09:27:22 2020 begin with 17633369 relations and 17341557 unique ideals
  87. Mon Oct 12 09:27:27 2020 reduce to 17537270 relations and 16085990 ideals in 7 passes
  88. Mon Oct 12 09:27:27 2020 max relations containing the same ideal: 106
  89. Mon Oct 12 09:27:33 2020 removing 1523281 relations and 1123281 ideals in 400000 cliques
  90. Mon Oct 12 09:27:33 2020 commencing in-memory singleton removal
  91. Mon Oct 12 09:27:34 2020 begin with 16013989 relations and 16085990 unique ideals
  92. Mon Oct 12 09:27:38 2020 reduce to 15914932 relations and 14861675 ideals in 7 passes
  93. Mon Oct 12 09:27:38 2020 max relations containing the same ideal: 100
  94. Mon Oct 12 09:27:43 2020 removing 1500314 relations and 1100314 ideals in 400000 cliques
  95. Mon Oct 12 09:27:44 2020 commencing in-memory singleton removal
  96. Mon Oct 12 09:27:44 2020 begin with 14414618 relations and 14861675 unique ideals
  97. Mon Oct 12 09:27:48 2020 reduce to 14311354 relations and 13655859 ideals in 7 passes
  98. Mon Oct 12 09:27:48 2020 max relations containing the same ideal: 93
  99. Mon Oct 12 09:27:53 2020 removing 1375953 relations and 1011115 ideals in 364838 cliques
  100. Mon Oct 12 09:27:53 2020 commencing in-memory singleton removal
  101. Mon Oct 12 09:27:53 2020 begin with 12935401 relations and 13655859 unique ideals
  102. Mon Oct 12 09:27:57 2020 reduce to 12840193 relations and 12547487 ideals in 6 passes
  103. Mon Oct 12 09:27:57 2020 max relations containing the same ideal: 87
  104. Mon Oct 12 09:28:02 2020 relations with 0 large ideals: 19856
  105. Mon Oct 12 09:28:02 2020 relations with 1 large ideals: 2421
  106. Mon Oct 12 09:28:02 2020 relations with 2 large ideals: 28145
  107. Mon Oct 12 09:28:02 2020 relations with 3 large ideals: 211561
  108. Mon Oct 12 09:28:02 2020 relations with 4 large ideals: 874567
  109. Mon Oct 12 09:28:02 2020 relations with 5 large ideals: 2152274
  110. Mon Oct 12 09:28:02 2020 relations with 6 large ideals: 3743872
  111. Mon Oct 12 09:28:02 2020 relations with 7+ large ideals: 5807497
  112. Mon Oct 12 09:28:02 2020 commencing 2-way merge
  113. Mon Oct 12 09:28:08 2020 reduce to 8565383 relation sets and 8272677 unique ideals
  114. Mon Oct 12 09:28:08 2020 commencing full merge
  115. Mon Oct 12 09:30:51 2020 memory use: 1145.0 MB
  116. Mon Oct 12 09:30:52 2020 found 3895047 cycles, need 3888877
  117. Mon Oct 12 09:30:52 2020 weight of 3888877 cycles is about 428263064 (110.13/cycle)
  118. Mon Oct 12 09:30:52 2020 distribution of cycle lengths:
  119. Mon Oct 12 09:30:52 2020 1 relations: 185632
  120. Mon Oct 12 09:30:52 2020 2 relations: 245520
  121. Mon Oct 12 09:30:52 2020 3 relations: 283409
  122. Mon Oct 12 09:30:52 2020 4 relations: 290915
  123. Mon Oct 12 09:30:52 2020 5 relations: 292963
  124. Mon Oct 12 09:30:52 2020 6 relations: 283143
  125. Mon Oct 12 09:30:52 2020 7 relations: 272344
  126. Mon Oct 12 09:30:52 2020 8 relations: 257459
  127. Mon Oct 12 09:30:52 2020 9 relations: 239882
  128. Mon Oct 12 09:30:52 2020 10+ relations: 1537610
  129. Mon Oct 12 09:30:52 2020 heaviest cycle: 28 relations
  130. Mon Oct 12 09:30:53 2020 commencing cycle optimization
  131. Mon Oct 12 09:30:58 2020 start with 34461113 relations
  132. Mon Oct 12 09:32:07 2020 pruned 1577143 relations
  133. Mon Oct 12 09:32:07 2020 memory use: 888.5 MB
  134. Mon Oct 12 09:32:07 2020 distribution of cycle lengths:
  135. Mon Oct 12 09:32:07 2020 1 relations: 185632
  136. Mon Oct 12 09:32:07 2020 2 relations: 250760
  137. Mon Oct 12 09:32:07 2020 3 relations: 294818
  138. Mon Oct 12 09:32:07 2020 4 relations: 303309
  139. Mon Oct 12 09:32:07 2020 5 relations: 307090
  140. Mon Oct 12 09:32:07 2020 6 relations: 296021
  141. Mon Oct 12 09:32:07 2020 7 relations: 286067
  142. Mon Oct 12 09:32:07 2020 8 relations: 268470
  143. Mon Oct 12 09:32:07 2020 9 relations: 250757
  144. Mon Oct 12 09:32:07 2020 10+ relations: 1445953
  145. Mon Oct 12 09:32:07 2020 heaviest cycle: 28 relations
  146. Mon Oct 12 09:32:11 2020 RelProcTime: 1130
  147. Mon Oct 12 09:32:11 2020
  148. Mon Oct 12 09:32:11 2020 commencing linear algebra
  149. Mon Oct 12 09:32:11 2020 read 3888877 cycles
  150. Mon Oct 12 09:32:17 2020 cycles contain 12662508 unique relations
  151. Mon Oct 12 09:33:37 2020 read 12662508 relations
  152. Mon Oct 12 09:33:56 2020 using 20 quadratic characters above 4294917295
  153. Mon Oct 12 09:34:31 2020 building initial matrix
  154. Mon Oct 12 09:36:14 2020 memory use: 1558.1 MB
  155. Mon Oct 12 09:36:16 2020 read 3888877 cycles
  156. Mon Oct 12 09:36:17 2020 matrix is 3888700 x 3888877 (1694.4 MB) with weight 484446004 (124.57/col)
  157. Mon Oct 12 09:36:17 2020 sparse part has weight 401399269 (103.22/col)
  158. Mon Oct 12 09:36:43 2020 filtering completed in 2 passes
  159. Mon Oct 12 09:36:43 2020 matrix is 3888652 x 3888813 (1694.4 MB) with weight 484444375 (124.57/col)
  160. Mon Oct 12 09:36:43 2020 sparse part has weight 401398841 (103.22/col)
  161. Mon Oct 12 09:36:50 2020 matrix starts at (0, 0)
  162. Mon Oct 12 09:36:50 2020 matrix is 3888652 x 3888813 (1694.4 MB) with weight 484444375 (124.57/col)
  163. Mon Oct 12 09:36:50 2020 sparse part has weight 401398841 (103.22/col)
  164. Mon Oct 12 09:36:50 2020 saving the first 240 matrix rows for later
  165. Mon Oct 12 09:36:51 2020 matrix includes 256 packed rows
  166. Mon Oct 12 09:36:52 2020 matrix is 3888412 x 3888813 (1549.2 MB) with weight 364236043 (93.66/col)
  167. Mon Oct 12 09:36:52 2020 sparse part has weight 343890371 (88.43/col)
  168. Mon Oct 12 09:36:52 2020 using block size 8192 and superblock size 1572864 for processor cache size 65536 kB
  169. Mon Oct 12 09:37:02 2020 commencing Lanczos iteration (23 threads)
  170. Mon Oct 12 09:37:02 2020 memory use: 2171.4 MB
  171. Mon Oct 12 09:37:06 2020 linear algebra at 0.0%, ETA 2h49m
  172. Mon Oct 12 09:37:08 2020 checkpointing every 1230000 dimensions
  173. Mon Oct 12 12:31:05 2020 lanczos halted after 15236 iterations (dim = 3888412)
  174. Mon Oct 12 12:31:15 2020 recovered 35 nontrivial dependencies
  175. Mon Oct 12 12:31:16 2020 BLanczosTime: 10745
  176. Mon Oct 12 12:31:16 2020
  177. Mon Oct 12 12:31:16 2020 commencing square root phase
  178. Mon Oct 12 12:31:16 2020 handling dependencies 1 to 64
  179. Mon Oct 12 12:31:16 2020 reading relations for dependency 1
  180. Mon Oct 12 12:31:16 2020 read 1945004 cycles
  181. Mon Oct 12 12:31:19 2020 cycles contain 6330586 unique relations
  182. Mon Oct 12 12:32:15 2020 read 6330586 relations
  183. Mon Oct 12 12:32:32 2020 multiplying 6330586 relations
  184. Mon Oct 12 12:34:14 2020 multiply complete, coefficients have about 154.33 million bits
  185. Mon Oct 12 12:34:15 2020 initial square root is modulo 345479
  186. Mon Oct 12 12:36:10 2020 sqrtTime: 294
  187. Mon Oct 12 12:36:10 2020 p74 factor: 51844990030032715122092034683509723246972943381428110421336625738102048741
  188. Mon Oct 12 12:36:10 2020 p148 factor: 4023758777178601103273189763939783241614638214856258647626267222248875332151854065408639164157868299489960538121716546817840557579509015217814067577
  189. Mon Oct 12 12:36:10 2020 elapsed time 03:22:50
  190.  
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