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178__931_11m1

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Jan 26th, 2022
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  1. Tue Jan 25 21:20:56 2022 Msieve v. 1.54 (SVN unknown)
  2. Tue Jan 25 21:20:56 2022 random seeds: d0e8e70b a7ee6f31
  3. Tue Jan 25 21:20:56 2022 factoring 1907773133602697761697965325820630336475623831026861768053482933228405302207653433270734919370943966468494689775720968245923527264615649509505695979647825258501 (160 digits)
  4. Tue Jan 25 21:20:56 2022 searching for 15-digit factors
  5. Tue Jan 25 21:20:57 2022 commencing number field sieve (160-digit input)
  6. Tue Jan 25 21:20:57 2022 R0: 31699339841692761419821538459170886011093208762
  7. Tue Jan 25 21:20:57 2022 R1: -178043084228769642541931
  8. Tue Jan 25 21:20:57 2022 A0: 1
  9. Tue Jan 25 21:20:57 2022 A1: 3
  10. Tue Jan 25 21:20:57 2022 A2: -3
  11. Tue Jan 25 21:20:57 2022 A3: -4
  12. Tue Jan 25 21:20:57 2022 A4: 1
  13. Tue Jan 25 21:20:57 2022 A5: 1
  14. Tue Jan 25 21:20:57 2022 skew 1.00, size 8.038e-16, alpha 2.379, combined = 8.125e-13 rroots = 5
  15. Tue Jan 25 21:20:57 2022
  16. Tue Jan 25 21:20:57 2022 commencing relation filtering
  17. Tue Jan 25 21:20:57 2022 setting target matrix density to 108.0
  18. Tue Jan 25 21:20:57 2022 estimated available RAM is 16384.0 MB
  19. Tue Jan 25 21:20:57 2022 commencing duplicate removal, pass 1
  20. Tue Jan 25 21:27:36 2022 skipped 35 relations with b > 2^32
  21. Tue Jan 25 21:27:36 2022 found 5043707 hash collisions in 107566130 relations
  22. Tue Jan 25 21:27:36 2022 commencing duplicate removal, pass 2
  23. Tue Jan 25 21:27:55 2022 found 0 duplicates and 107566130 unique relations
  24. Tue Jan 25 21:27:55 2022 memory use: 378.4 MB
  25. Tue Jan 25 21:27:55 2022 reading ideals above 87883776
  26. Tue Jan 25 21:27:55 2022 commencing singleton removal, initial pass
  27. Tue Jan 25 21:33:07 2022 memory use: 2756.0 MB
  28. Tue Jan 25 21:33:07 2022 reading all ideals from disk
  29. Tue Jan 25 21:33:07 2022 memory use: 1893.4 MB
  30. Tue Jan 25 21:33:09 2022 commencing in-memory singleton removal
  31. Tue Jan 25 21:33:11 2022 begin with 107566130 relations and 83648167 unique ideals
  32. Tue Jan 25 21:33:30 2022 reduce to 77589166 relations and 51130880 ideals in 13 passes
  33. Tue Jan 25 21:33:30 2022 max relations containing the same ideal: 47
  34. Tue Jan 25 21:33:33 2022 reading ideals above 720000
  35. Tue Jan 25 21:33:33 2022 commencing singleton removal, initial pass
  36. Tue Jan 25 21:38:13 2022 memory use: 1506.0 MB
  37. Tue Jan 25 21:38:13 2022 reading all ideals from disk
  38. Tue Jan 25 21:38:14 2022 memory use: 2944.6 MB
  39. Tue Jan 25 21:38:18 2022 keeping 60947662 ideals with weight <= 200, target excess is 386351
  40. Tue Jan 25 21:38:21 2022 commencing in-memory singleton removal
  41. Tue Jan 25 21:38:24 2022 begin with 77589167 relations and 60947662 unique ideals
  42. Tue Jan 25 21:38:37 2022 reduce to 77588291 relations and 60946783 ideals in 5 passes
  43. Tue Jan 25 21:38:37 2022 max relations containing the same ideal: 200
  44. Tue Jan 25 21:38:52 2022 removing 8086992 relations and 6086992 ideals in 2000000 cliques
  45. Tue Jan 25 21:38:53 2022 commencing in-memory singleton removal
  46. Tue Jan 25 21:38:56 2022 begin with 69501299 relations and 60946783 unique ideals
  47. Tue Jan 25 21:39:16 2022 reduce to 68775208 relations and 54109966 ideals in 9 passes
  48. Tue Jan 25 21:39:16 2022 max relations containing the same ideal: 195
  49. Tue Jan 25 21:39:30 2022 removing 6546458 relations and 4546458 ideals in 2000000 cliques
  50. Tue Jan 25 21:39:31 2022 commencing in-memory singleton removal
  51. Tue Jan 25 21:39:33 2022 begin with 62228750 relations and 54109966 unique ideals
  52. Tue Jan 25 21:39:47 2022 reduce to 61712333 relations and 49031774 ideals in 7 passes
  53. Tue Jan 25 21:39:47 2022 max relations containing the same ideal: 182
  54. Tue Jan 25 21:39:59 2022 removing 6140188 relations and 4140188 ideals in 2000000 cliques
  55. Tue Jan 25 21:40:00 2022 commencing in-memory singleton removal
  56. Tue Jan 25 21:40:03 2022 begin with 55572145 relations and 49031774 unique ideals
  57. Tue Jan 25 21:40:17 2022 reduce to 55089771 relations and 44394315 ideals in 8 passes
  58. Tue Jan 25 21:40:17 2022 max relations containing the same ideal: 169
  59. Tue Jan 25 21:40:28 2022 removing 5954411 relations and 3954411 ideals in 2000000 cliques
  60. Tue Jan 25 21:40:29 2022 commencing in-memory singleton removal
  61. Tue Jan 25 21:40:31 2022 begin with 49135360 relations and 44394315 unique ideals
  62. Tue Jan 25 21:40:44 2022 reduce to 48645597 relations and 39934075 ideals in 8 passes
  63. Tue Jan 25 21:40:44 2022 max relations containing the same ideal: 155
  64. Tue Jan 25 21:40:53 2022 removing 5867015 relations and 3867015 ideals in 2000000 cliques
  65. Tue Jan 25 21:40:54 2022 commencing in-memory singleton removal
  66. Tue Jan 25 21:40:56 2022 begin with 42778582 relations and 39934075 unique ideals
  67. Tue Jan 25 21:41:07 2022 reduce to 42253453 relations and 35522862 ideals in 8 passes
  68. Tue Jan 25 21:41:07 2022 max relations containing the same ideal: 142
  69. Tue Jan 25 21:41:16 2022 removing 5841647 relations and 3841647 ideals in 2000000 cliques
  70. Tue Jan 25 21:41:17 2022 commencing in-memory singleton removal
  71. Tue Jan 25 21:41:18 2022 begin with 36411806 relations and 35522862 unique ideals
  72. Tue Jan 25 21:41:27 2022 reduce to 35820123 relations and 31064495 ideals in 8 passes
  73. Tue Jan 25 21:41:27 2022 max relations containing the same ideal: 132
  74. Tue Jan 25 21:41:35 2022 removing 5863965 relations and 3863965 ideals in 2000000 cliques
  75. Tue Jan 25 21:41:35 2022 commencing in-memory singleton removal
  76. Tue Jan 25 21:41:36 2022 begin with 29956158 relations and 31064495 unique ideals
  77. Tue Jan 25 21:41:43 2022 reduce to 29257458 relations and 26467675 ideals in 7 passes
  78. Tue Jan 25 21:41:43 2022 max relations containing the same ideal: 113
  79. Tue Jan 25 21:41:49 2022 removing 5921004 relations and 3921004 ideals in 2000000 cliques
  80. Tue Jan 25 21:41:50 2022 commencing in-memory singleton removal
  81. Tue Jan 25 21:41:51 2022 begin with 23336454 relations and 26467675 unique ideals
  82. Tue Jan 25 21:41:57 2022 reduce to 22462583 relations and 21619860 ideals in 9 passes
  83. Tue Jan 25 21:41:57 2022 max relations containing the same ideal: 94
  84. Tue Jan 25 21:42:02 2022 removing 1674214 relations and 1279659 ideals in 394555 cliques
  85. Tue Jan 25 21:42:03 2022 commencing in-memory singleton removal
  86. Tue Jan 25 21:42:03 2022 begin with 20788369 relations and 21619860 unique ideals
  87. Tue Jan 25 21:42:08 2022 reduce to 20684574 relations and 20234580 ideals in 7 passes
  88. Tue Jan 25 21:42:08 2022 max relations containing the same ideal: 89
  89. Tue Jan 25 21:42:14 2022 relations with 0 large ideals: 31585
  90. Tue Jan 25 21:42:14 2022 relations with 1 large ideals: 4160
  91. Tue Jan 25 21:42:14 2022 relations with 2 large ideals: 49760
  92. Tue Jan 25 21:42:14 2022 relations with 3 large ideals: 363244
  93. Tue Jan 25 21:42:14 2022 relations with 4 large ideals: 1462302
  94. Tue Jan 25 21:42:14 2022 relations with 5 large ideals: 3519242
  95. Tue Jan 25 21:42:14 2022 relations with 6 large ideals: 6022513
  96. Tue Jan 25 21:42:14 2022 relations with 7+ large ideals: 9231768
  97. Tue Jan 25 21:42:14 2022 commencing 2-way merge
  98. Tue Jan 25 21:42:20 2022 reduce to 13883922 relation sets and 13433928 unique ideals
  99. Tue Jan 25 21:42:20 2022 commencing full merge
  100. Tue Jan 25 21:45:22 2022 memory use: 1846.5 MB
  101. Tue Jan 25 21:45:23 2022 found 6398834 cycles, need 6380128
  102. Tue Jan 25 21:45:23 2022 weight of 6380128 cycles is about 689311875 (108.04/cycle)
  103. Tue Jan 25 21:45:23 2022 distribution of cycle lengths:
  104. Tue Jan 25 21:45:23 2022 1 relations: 321689
  105. Tue Jan 25 21:45:23 2022 2 relations: 417127
  106. Tue Jan 25 21:45:23 2022 3 relations: 471531
  107. Tue Jan 25 21:45:23 2022 4 relations: 484150
  108. Tue Jan 25 21:45:23 2022 5 relations: 486177
  109. Tue Jan 25 21:45:23 2022 6 relations: 478991
  110. Tue Jan 25 21:45:23 2022 7 relations: 462457
  111. Tue Jan 25 21:45:23 2022 8 relations: 438009
  112. Tue Jan 25 21:45:23 2022 9 relations: 407643
  113. Tue Jan 25 21:45:23 2022 10+ relations: 2412354
  114. Tue Jan 25 21:45:23 2022 heaviest cycle: 28 relations
  115. Tue Jan 25 21:45:24 2022 commencing cycle optimization
  116. Tue Jan 25 21:45:30 2022 start with 54814650 relations
  117. Tue Jan 25 21:46:46 2022 pruned 2563603 relations
  118. Tue Jan 25 21:46:46 2022 memory use: 1425.2 MB
  119. Tue Jan 25 21:46:46 2022 distribution of cycle lengths:
  120. Tue Jan 25 21:46:46 2022 1 relations: 321689
  121. Tue Jan 25 21:46:46 2022 2 relations: 426154
  122. Tue Jan 25 21:46:46 2022 3 relations: 490700
  123. Tue Jan 25 21:46:46 2022 4 relations: 504114
  124. Tue Jan 25 21:46:46 2022 5 relations: 511007
  125. Tue Jan 25 21:46:46 2022 6 relations: 502445
  126. Tue Jan 25 21:46:46 2022 7 relations: 487095
  127. Tue Jan 25 21:46:46 2022 8 relations: 459543
  128. Tue Jan 25 21:46:46 2022 9 relations: 425972
  129. Tue Jan 25 21:46:46 2022 10+ relations: 2251409
  130. Tue Jan 25 21:46:46 2022 heaviest cycle: 28 relations
  131. Tue Jan 25 21:46:48 2022 RelProcTime: 1551
  132. Tue Jan 25 21:46:48 2022
  133. Tue Jan 25 21:46:48 2022 commencing linear algebra
  134. Tue Jan 25 21:46:49 2022 read 6380128 cycles
  135. Tue Jan 25 21:46:54 2022 cycles contain 20434189 unique relations
  136. Tue Jan 25 21:47:44 2022 read 20434189 relations
  137. Tue Jan 25 21:48:11 2022 using 20 quadratic characters above 4294917295
  138. Tue Jan 25 21:48:58 2022 building initial matrix
  139. Tue Jan 25 21:51:11 2022 memory use: 2541.0 MB
  140. Tue Jan 25 21:51:14 2022 read 6380128 cycles
  141. Tue Jan 25 21:51:14 2022 matrix is 6379951 x 6380128 (2732.3 MB) with weight 780847268 (122.39/col)
  142. Tue Jan 25 21:51:14 2022 sparse part has weight 646076574 (101.26/col)
  143. Tue Jan 25 21:51:54 2022 filtering completed in 2 passes
  144. Tue Jan 25 21:51:55 2022 matrix is 6379824 x 6380000 (2732.3 MB) with weight 780842675 (122.39/col)
  145. Tue Jan 25 21:51:55 2022 sparse part has weight 646074814 (101.27/col)
  146. Tue Jan 25 21:52:04 2022 matrix starts at (0, 0)
  147. Tue Jan 25 21:52:04 2022 matrix is 6379824 x 6380000 (2732.3 MB) with weight 780842675 (122.39/col)
  148. Tue Jan 25 21:52:04 2022 sparse part has weight 646074814 (101.27/col)
  149. Tue Jan 25 21:52:04 2022 saving the first 48 matrix rows for later
  150. Tue Jan 25 21:52:04 2022 matrix includes 64 packed rows
  151. Tue Jan 25 21:52:05 2022 matrix is 6379776 x 6380000 (2616.3 MB) with weight 666255921 (104.43/col)
  152. Tue Jan 25 21:52:05 2022 sparse part has weight 622039476 (97.50/col)
  153. Tue Jan 25 21:52:05 2022 using block size 8192 and superblock size 777216 for processor cache size 8096 kB
  154. Tue Jan 25 21:52:20 2022 commencing Lanczos iteration (4 threads)
  155. Tue Jan 25 21:52:20 2022 memory use: 2506.2 MB
  156. Tue Jan 25 21:52:31 2022 linear algebra at 0.0%, ETA 12h47m
  157. Tue Jan 25 21:52:34 2022 checkpointing every 530000 dimensions
  158. Wed Jan 26 12:14:26 2022 lanczos halted after 100897 iterations (dim = 6379771)
  159. Wed Jan 26 12:14:33 2022 recovered 34 nontrivial dependencies
  160. Wed Jan 26 12:14:33 2022 BLanczosTime: 52065
  161. Wed Jan 26 12:14:33 2022
  162. Wed Jan 26 12:14:33 2022 commencing square root phase
  163. Wed Jan 26 12:14:33 2022 handling dependencies 1 to 64
  164. Wed Jan 26 12:14:33 2022 reading relations for dependency 1
  165. Wed Jan 26 12:14:34 2022 read 3190546 cycles
  166. Wed Jan 26 12:14:37 2022 cycles contain 10217518 unique relations
  167. Wed Jan 26 12:15:04 2022 read 10217518 relations
  168. Wed Jan 26 12:15:25 2022 multiplying 10217518 relations
  169. Wed Jan 26 12:17:25 2022 multiply complete, coefficients have about 253.29 million bits
  170. Wed Jan 26 12:17:25 2022 initial square root is modulo 1229425823
  171. Wed Jan 26 12:19:59 2022 Newton iteration failed to converge
  172. Wed Jan 26 12:19:59 2022 algebraic square root failed
  173. Wed Jan 26 12:19:59 2022 reading relations for dependency 2
  174. Wed Jan 26 12:20:00 2022 read 3190586 cycles
  175. Wed Jan 26 12:20:03 2022 cycles contain 10217872 unique relations
  176. Wed Jan 26 12:20:30 2022 read 10217872 relations
  177. Wed Jan 26 12:20:51 2022 multiplying 10217872 relations
  178. Wed Jan 26 12:22:51 2022 multiply complete, coefficients have about 253.30 million bits
  179. Wed Jan 26 12:22:52 2022 initial square root is modulo 1231119391
  180. Wed Jan 26 12:25:26 2022 sqrtTime: 653
  181. Wed Jan 26 12:25:26 2022 p67 factor: 1205976294903702896997437168516900475660621905930647228664977447873
  182. Wed Jan 26 12:25:26 2022 p94 factor: 1581932531895275173435303428503255255303389534750029746416435750468094773042622399830022106437
  183. Wed Jan 26 12:25:26 2022 elapsed time 15:04:30
  184.  
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