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5_2_804m1 log

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Apr 1st, 2023
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  1. Tue Mar 28 23:44:57 2023
  2. Tue Mar 28 23:44:57 2023
  3. Tue Mar 28 23:44:57 2023 Msieve v. 1.54 (SVN 1028)
  4. Tue Mar 28 23:44:57 2023 random seeds: 79e8a8d1 b805e770
  5. Tue Mar 28 23:44:57 2023 factoring 179316786973739894066901291463753110574069470233302626586887446143977854931691623925501293019978636412624407255771120547887518074687606994101046040711695905012151389675358455377952713858881178720298599013788293374882455288141 (225 digits)
  6. Tue Mar 28 23:44:59 2023 no P-1/P+1/ECM available, skipping
  7. Tue Mar 28 23:44:59 2023 commencing number field sieve (225-digit input)
  8. Tue Mar 28 23:44:59 2023 R0: 21778071482940061661655974875633165533184
  9. Tue Mar 28 23:44:59 2023 R1: -1
  10. Tue Mar 28 23:44:59 2023 A0: -1
  11. Tue Mar 28 23:44:59 2023 A1: 0
  12. Tue Mar 28 23:44:59 2023 A2: 0
  13. Tue Mar 28 23:44:59 2023 A3: 0
  14. Tue Mar 28 23:44:59 2023 A4: 0
  15. Tue Mar 28 23:44:59 2023 A5: 0
  16. Tue Mar 28 23:44:59 2023 A6: 5
  17. Tue Mar 28 23:44:59 2023 skew 0.98, size 5.196e-12, alpha 2.301, combined = 3.953e-13 rroots = 2
  18. Tue Mar 28 23:44:59 2023
  19. Tue Mar 28 23:44:59 2023 commencing relation filtering
  20. Tue Mar 28 23:44:59 2023 setting target matrix density to 112.0
  21. Tue Mar 28 23:44:59 2023 estimated available RAM is 128848.2 MB
  22. Tue Mar 28 23:44:59 2023 commencing duplicate removal, pass 1
  23. Wed Mar 29 00:20:31 2023 skipped 126 relations with b > 2^32
  24. Wed Mar 29 00:20:31 2023 found 7762212 hash collisions in 187791562 relations
  25. Wed Mar 29 00:20:54 2023 added 1218700 free relations
  26. Wed Mar 29 00:20:54 2023 commencing duplicate removal, pass 2
  27. Wed Mar 29 00:22:20 2023 found 0 duplicates and 189010262 unique relations
  28. Wed Mar 29 00:22:20 2023 memory use: 522.4 MB
  29. Wed Mar 29 00:22:20 2023 reading ideals above 720000
  30. Wed Mar 29 00:22:20 2023 commencing singleton removal, initial pass
  31. Wed Mar 29 01:05:07 2023 memory use: 5512.0 MB
  32. Wed Mar 29 01:05:07 2023 reading all ideals from disk
  33. Wed Mar 29 01:05:14 2023 memory use: 7413.4 MB
  34. Wed Mar 29 01:06:08 2023 keeping 188517993 ideals with weight <= 200, target excess is 1072246
  35. Wed Mar 29 01:07:09 2023 commencing in-memory singleton removal
  36. Wed Mar 29 01:07:51 2023 begin with 189010262 relations and 188517993 unique ideals
  37. Wed Mar 29 01:14:56 2023 reduce to 87677438 relations and 73863486 ideals in 15 passes
  38. Wed Mar 29 01:14:56 2023 max relations containing the same ideal: 122
  39. Wed Mar 29 01:16:17 2023 removing 11150322 relations and 9150322 ideals in 2000000 cliques
  40. Wed Mar 29 01:16:21 2023 commencing in-memory singleton removal
  41. Wed Mar 29 01:16:33 2023 begin with 76527116 relations and 73863486 unique ideals
  42. Wed Mar 29 01:19:33 2023 reduce to 75492323 relations and 63649757 ideals in 11 passes
  43. Wed Mar 29 01:19:33 2023 max relations containing the same ideal: 114
  44. Wed Mar 29 01:20:36 2023 removing 8637467 relations and 6637467 ideals in 2000000 cliques
  45. Wed Mar 29 01:20:40 2023 commencing in-memory singleton removal
  46. Wed Mar 29 01:20:49 2023 begin with 66854856 relations and 63649757 unique ideals
  47. Wed Mar 29 01:22:51 2023 reduce to 66102071 relations and 56240096 ideals in 9 passes
  48. Wed Mar 29 01:22:51 2023 max relations containing the same ideal: 104
  49. Wed Mar 29 01:23:48 2023 removing 7921107 relations and 5921107 ideals in 2000000 cliques
  50. Wed Mar 29 01:23:52 2023 commencing in-memory singleton removal
  51. Wed Mar 29 01:24:00 2023 begin with 58180964 relations and 56240096 unique ideals
  52. Wed Mar 29 01:25:54 2023 reduce to 57461123 relations and 49579186 ideals in 10 passes
  53. Wed Mar 29 01:25:54 2023 max relations containing the same ideal: 97
  54. Wed Mar 29 01:26:42 2023 removing 7585136 relations and 5585136 ideals in 2000000 cliques
  55. Wed Mar 29 01:26:46 2023 commencing in-memory singleton removal
  56. Wed Mar 29 01:26:52 2023 begin with 49875987 relations and 49579186 unique ideals
  57. Wed Mar 29 01:28:24 2023 reduce to 49124265 relations and 43219068 ideals in 10 passes
  58. Wed Mar 29 01:28:24 2023 max relations containing the same ideal: 85
  59. Wed Mar 29 01:29:06 2023 removing 7420082 relations and 5420082 ideals in 2000000 cliques
  60. Wed Mar 29 01:29:09 2023 commencing in-memory singleton removal
  61. Wed Mar 29 01:29:14 2023 begin with 41704183 relations and 43219068 unique ideals
  62. Wed Mar 29 01:30:24 2023 reduce to 40864842 relations and 36929617 ideals in 9 passes
  63. Wed Mar 29 01:30:24 2023 max relations containing the same ideal: 75
  64. Wed Mar 29 01:30:59 2023 removing 7358112 relations and 5358112 ideals in 2000000 cliques
  65. Wed Mar 29 01:31:02 2023 commencing in-memory singleton removal
  66. Wed Mar 29 01:31:06 2023 begin with 33506730 relations and 36929617 unique ideals
  67. Wed Mar 29 01:32:01 2023 reduce to 32499164 relations and 30520521 ideals in 9 passes
  68. Wed Mar 29 01:32:01 2023 max relations containing the same ideal: 64
  69. Wed Mar 29 01:32:30 2023 removing 3419579 relations and 2684742 ideals in 734837 cliques
  70. Wed Mar 29 01:32:32 2023 commencing in-memory singleton removal
  71. Wed Mar 29 01:32:35 2023 begin with 29079585 relations and 30520521 unique ideals
  72. Wed Mar 29 01:33:17 2023 reduce to 28817085 relations and 27568213 ideals in 8 passes
  73. Wed Mar 29 01:33:17 2023 max relations containing the same ideal: 57
  74. Wed Mar 29 01:33:46 2023 relations with 0 large ideals: 40204
  75. Wed Mar 29 01:33:46 2023 relations with 1 large ideals: 32186
  76. Wed Mar 29 01:33:46 2023 relations with 2 large ideals: 353601
  77. Wed Mar 29 01:33:46 2023 relations with 3 large ideals: 1793881
  78. Wed Mar 29 01:33:46 2023 relations with 4 large ideals: 4866926
  79. Wed Mar 29 01:33:46 2023 relations with 5 large ideals: 7684940
  80. Wed Mar 29 01:33:46 2023 relations with 6 large ideals: 7349712
  81. Wed Mar 29 01:33:46 2023 relations with 7+ large ideals: 6695635
  82. Wed Mar 29 01:33:46 2023 commencing 2-way merge
  83. Wed Mar 29 01:34:16 2023 reduce to 17352615 relation sets and 16103743 unique ideals
  84. Wed Mar 29 01:34:16 2023 commencing full merge
  85. Wed Mar 29 01:45:25 2023 memory use: 2059.5 MB
  86. Wed Mar 29 01:45:28 2023 found 7950747 cycles, need 7827943
  87. Wed Mar 29 01:45:33 2023 weight of 7827943 cycles is about 876798993 (112.01/cycle)
  88. Wed Mar 29 01:45:33 2023 distribution of cycle lengths:
  89. Wed Mar 29 01:45:33 2023 1 relations: 567281
  90. Wed Mar 29 01:45:33 2023 2 relations: 548188
  91. Wed Mar 29 01:45:33 2023 3 relations: 568504
  92. Wed Mar 29 01:45:33 2023 4 relations: 570886
  93. Wed Mar 29 01:45:33 2023 5 relations: 574756
  94. Wed Mar 29 01:45:33 2023 6 relations: 564235
  95. Wed Mar 29 01:45:33 2023 7 relations: 549198
  96. Wed Mar 29 01:45:33 2023 8 relations: 523837
  97. Wed Mar 29 01:45:33 2023 9 relations: 491964
  98. Wed Mar 29 01:45:33 2023 10+ relations: 2869094
  99. Wed Mar 29 01:45:33 2023 heaviest cycle: 28 relations
  100. Wed Mar 29 01:45:37 2023 commencing cycle optimization
  101. Wed Mar 29 01:46:07 2023 start with 64474013 relations
  102. Wed Mar 29 01:50:05 2023 pruned 2520478 relations
  103. Wed Mar 29 01:50:05 2023 memory use: 1824.1 MB
  104. Wed Mar 29 01:50:05 2023 distribution of cycle lengths:
  105. Wed Mar 29 01:50:05 2023 1 relations: 567281
  106. Wed Mar 29 01:50:05 2023 2 relations: 560443
  107. Wed Mar 29 01:50:05 2023 3 relations: 589479
  108. Wed Mar 29 01:50:05 2023 4 relations: 591339
  109. Wed Mar 29 01:50:05 2023 5 relations: 599941
  110. Wed Mar 29 01:50:05 2023 6 relations: 588190
  111. Wed Mar 29 01:50:05 2023 7 relations: 574188
  112. Wed Mar 29 01:50:05 2023 8 relations: 545995
  113. Wed Mar 29 01:50:05 2023 9 relations: 511752
  114. Wed Mar 29 01:50:05 2023 10+ relations: 2699335
  115. Wed Mar 29 01:50:05 2023 heaviest cycle: 27 relations
  116. Wed Mar 29 01:50:28 2023 RelProcTime: 7529
  117. Wed Mar 29 01:50:33 2023
  118. Wed Mar 29 01:50:33 2023 commencing linear algebra
  119. Wed Mar 29 01:50:34 2023 read 7827943 cycles
  120. Wed Mar 29 01:51:02 2023 cycles contain 27975399 unique relations
  121. Wed Mar 29 01:54:56 2023 read 27975399 relations
  122. Wed Mar 29 01:56:14 2023 using 20 quadratic characters above 4294917295
  123. Wed Mar 29 01:58:43 2023 building initial matrix
  124. Wed Mar 29 02:07:34 2023 memory use: 3416.1 MB
  125. Wed Mar 29 02:07:41 2023 read 7827943 cycles
  126. Wed Mar 29 02:07:43 2023 matrix is 7827762 x 7827943 (3440.6 MB) with weight 978988780 (125.06/col)
  127. Wed Mar 29 02:07:43 2023 sparse part has weight 823657266 (105.22/col)
  128. Wed Mar 29 02:10:52 2023 filtering completed in 2 passes
  129. Wed Mar 29 02:10:54 2023 matrix is 7826488 x 7826666 (3440.5 MB) with weight 978938524 (125.08/col)
  130. Wed Mar 29 02:10:54 2023 sparse part has weight 823632742 (105.23/col)
  131. Wed Mar 29 02:11:35 2023 matrix starts at (0, 0)
  132. Wed Mar 29 02:11:36 2023 matrix is 7826488 x 7826666 (3440.5 MB) with weight 978938524 (125.08/col)
  133. Wed Mar 29 02:11:36 2023 sparse part has weight 823632742 (105.23/col)
  134. Wed Mar 29 02:11:36 2023 saving the first 112 matrix rows for later
  135. Wed Mar 29 02:11:39 2023 matrix includes 128 packed rows
  136. Wed Mar 29 02:11:42 2023 matrix is 7826376 x 7826666 (3210.0 MB) with weight 790308846 (100.98/col)
  137. Wed Mar 29 02:11:42 2023 sparse part has weight 747572301 (95.52/col)
  138. Wed Mar 29 02:11:42 2023 using block size 8192 and superblock size 1228800 for processor cache size 25600 kB
  139. Wed Mar 29 02:12:21 2023 commencing Lanczos iteration (9 threads)
  140. Wed Mar 29 02:12:21 2023 memory use: 3571.9 MB
  141. Wed Mar 29 02:13:02 2023 linear algebra at 0.0%, ETA 54h11m
  142. Wed Mar 29 02:13:15 2023 checkpointing every 150000 dimensions
  143. Thu Mar 30 21:11:13 2023 lanczos halted after 61513 iterations (dim = 7826373)
  144. Thu Mar 30 21:11:32 2023 recovered 34 nontrivial dependencies
  145. Thu Mar 30 21:11:33 2023 BLanczosTime: 156060
  146. Thu Mar 30 21:11:33 2023
  147. Thu Mar 30 21:11:33 2023 commencing square root phase
  148. Thu Mar 30 21:11:33 2023 handling dependencies 1 to 64
  149. Thu Mar 30 21:11:33 2023 reading relations for dependency 1
  150. Thu Mar 30 21:11:34 2023 read 3912067 cycles
  151. Thu Mar 30 21:11:44 2023 cycles contain 13985050 unique relations
  152. Thu Mar 30 21:13:30 2023 read 13985050 relations
  153. Thu Mar 30 21:15:03 2023 multiplying 13985050 relations
  154. Thu Mar 30 21:26:33 2023 multiply complete, coefficients have about 382.30 million bits
  155. Thu Mar 30 21:26:35 2023 initial square root is modulo 7240243
  156. Thu Mar 30 21:39:27 2023 GCD is N, no factor found
  157. Thu Mar 30 21:39:27 2023 reading relations for dependency 2
  158. Thu Mar 30 21:39:28 2023 read 3914698 cycles
  159. Thu Mar 30 21:39:39 2023 cycles contain 13991646 unique relations
  160. Thu Mar 30 21:41:22 2023 read 13991646 relations
  161. Thu Mar 30 21:42:56 2023 multiplying 13991646 relations
  162. Thu Mar 30 21:54:28 2023 multiply complete, coefficients have about 382.48 million bits
  163. Thu Mar 30 21:54:30 2023 initial square root is modulo 7292227
  164. Thu Mar 30 22:07:40 2023 GCD is 1, no factor found
  165. Thu Mar 30 22:07:40 2023 reading relations for dependency 3
  166. Thu Mar 30 22:07:41 2023 read 3913213 cycles
  167. Thu Mar 30 22:07:51 2023 cycles contain 13990066 unique relations
  168. Thu Mar 30 22:09:37 2023 read 13990066 relations
  169. Thu Mar 30 22:11:13 2023 multiplying 13990066 relations
  170. Thu Mar 30 22:22:47 2023 multiply complete, coefficients have about 382.44 million bits
  171. Thu Mar 30 22:22:49 2023 initial square root is modulo 7281247
  172. Thu Mar 30 22:35:45 2023 sqrtTime: 5052
  173. Thu Mar 30 22:35:45 2023 p63 factor: 174999190675404335006221697800928465874034098371814991673683559
  174. Thu Mar 30 22:35:45 2023 p163 factor: 1024672092948955481046961564423536168852697789405361894141317220356259560193392987241531116017188140102434240960911610285848912107045587772886247431596163319456299
  175. Thu Mar 30 22:35:45 2023 elapsed time 46:50:48
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