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357__001_11m1

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Nov 19th, 2020
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  1. Wed Nov 18 07:18:11 2020
  2. Wed Nov 18 07:18:11 2020 Msieve v. 1.54 (SVN 1025)
  3. Wed Nov 18 07:18:11 2020 random seeds: fcffb1b4 d79611d7
  4. Wed Nov 18 07:18:11 2020 factoring 2299537979791151324600012044249158345422885599742357089051785448541473712813217685262594107418629843516771619924482039578660564928955134107682025564022875828684345641635656699048166956250908526091 (196 digits)
  5. Wed Nov 18 07:18:12 2020 searching for 15-digit factors
  6. Wed Nov 18 07:18:12 2020 commencing number field sieve (196-digit input)
  7. Wed Nov 18 07:18:12 2020 R0: 1278701173199016052591386573025828585519410002
  8. Wed Nov 18 07:18:12 2020 R1: -35758931376636747205001
  9. Wed Nov 18 07:18:12 2020 A0: 1
  10. Wed Nov 18 07:18:12 2020 A1: 3
  11. Wed Nov 18 07:18:12 2020 A2: -3
  12. Wed Nov 18 07:18:12 2020 A3: -4
  13. Wed Nov 18 07:18:12 2020 A4: 1
  14. Wed Nov 18 07:18:12 2020 A5: 1
  15. Wed Nov 18 07:18:12 2020 skew 1.00, size 2.344e-15, alpha 2.379, combined = 1.643e-12 rroots = 5
  16. Wed Nov 18 07:18:12 2020
  17. Wed Nov 18 07:18:12 2020 commencing relation filtering
  18. Wed Nov 18 07:18:12 2020 setting max relations to 110000000
  19. Wed Nov 18 07:18:12 2020 setting target matrix density to 128.0
  20. Wed Nov 18 07:18:12 2020 estimated available RAM is 15984.6 MB
  21. Wed Nov 18 07:18:12 2020 commencing duplicate removal, pass 1
  22. Wed Nov 18 07:26:43 2020 error -15 reading relation 78760421
  23. Wed Nov 18 07:30:06 2020 skipped 32 relations with b > 2^32
  24. Wed Nov 18 07:30:06 2020 found 5266386 hash collisions in 109999967 relations
  25. Wed Nov 18 07:30:06 2020 commencing duplicate removal, pass 2
  26. Wed Nov 18 07:30:27 2020 found 0 duplicates and 109999967 unique relations
  27. Wed Nov 18 07:30:27 2020 memory use: 378.4 MB
  28. Wed Nov 18 07:30:27 2020 reading ideals above 73990144
  29. Wed Nov 18 07:30:27 2020 commencing singleton removal, initial pass
  30. Wed Nov 18 07:39:05 2020 memory use: 2756.0 MB
  31. Wed Nov 18 07:39:05 2020 reading all ideals from disk
  32. Wed Nov 18 07:39:10 2020 memory use: 1855.2 MB
  33. Wed Nov 18 07:39:13 2020 commencing in-memory singleton removal
  34. Wed Nov 18 07:39:16 2020 begin with 109999967 relations and 84555186 unique ideals
  35. Wed Nov 18 07:39:52 2020 reduce to 78347458 relations and 50198395 ideals in 13 passes
  36. Wed Nov 18 07:39:52 2020 max relations containing the same ideal: 52
  37. Wed Nov 18 07:39:56 2020 reading ideals above 720000
  38. Wed Nov 18 07:39:56 2020 commencing singleton removal, initial pass
  39. Wed Nov 18 07:47:29 2020 memory use: 1506.0 MB
  40. Wed Nov 18 07:47:29 2020 reading all ideals from disk
  41. Wed Nov 18 07:47:33 2020 memory use: 2928.6 MB
  42. Wed Nov 18 07:47:40 2020 keeping 58462789 ideals with weight <= 200, target excess is 412970
  43. Wed Nov 18 07:47:46 2020 commencing in-memory singleton removal
  44. Wed Nov 18 07:47:52 2020 begin with 78347459 relations and 58462789 unique ideals
  45. Wed Nov 18 07:48:18 2020 reduce to 78345849 relations and 58461179 ideals in 5 passes
  46. Wed Nov 18 07:48:18 2020 max relations containing the same ideal: 200
  47. Wed Nov 18 07:48:44 2020 removing 8099667 relations and 6099667 ideals in 2000000 cliques
  48. Wed Nov 18 07:48:46 2020 commencing in-memory singleton removal
  49. Wed Nov 18 07:48:51 2020 begin with 70246182 relations and 58461179 unique ideals
  50. Wed Nov 18 07:49:29 2020 reduce to 69594790 relations and 51689867 ideals in 8 passes
  51. Wed Nov 18 07:49:29 2020 max relations containing the same ideal: 194
  52. Wed Nov 18 07:49:53 2020 removing 6421590 relations and 4421590 ideals in 2000000 cliques
  53. Wed Nov 18 07:49:55 2020 commencing in-memory singleton removal
  54. Wed Nov 18 07:49:59 2020 begin with 63173200 relations and 51689867 unique ideals
  55. Wed Nov 18 07:50:29 2020 reduce to 62723190 relations and 46805620 ideals in 7 passes
  56. Wed Nov 18 07:50:29 2020 max relations containing the same ideal: 184
  57. Wed Nov 18 07:50:50 2020 removing 5978365 relations and 3978365 ideals in 2000000 cliques
  58. Wed Nov 18 07:50:52 2020 commencing in-memory singleton removal
  59. Wed Nov 18 07:50:55 2020 begin with 56744825 relations and 46805620 unique ideals
  60. Wed Nov 18 07:51:18 2020 reduce to 56344140 relations and 42414739 ideals in 6 passes
  61. Wed Nov 18 07:51:18 2020 max relations containing the same ideal: 173
  62. Wed Nov 18 07:51:37 2020 removing 5752614 relations and 3752614 ideals in 2000000 cliques
  63. Wed Nov 18 07:51:39 2020 commencing in-memory singleton removal
  64. Wed Nov 18 07:51:42 2020 begin with 50591526 relations and 42414739 unique ideals
  65. Wed Nov 18 07:52:06 2020 reduce to 50203833 relations and 38262372 ideals in 7 passes
  66. Wed Nov 18 07:52:06 2020 max relations containing the same ideal: 167
  67. Wed Nov 18 07:52:23 2020 removing 5623443 relations and 3623443 ideals in 2000000 cliques
  68. Wed Nov 18 07:52:24 2020 commencing in-memory singleton removal
  69. Wed Nov 18 07:52:27 2020 begin with 44580390 relations and 38262372 unique ideals
  70. Wed Nov 18 07:52:48 2020 reduce to 44187044 relations and 34231859 ideals in 7 passes
  71. Wed Nov 18 07:52:48 2020 max relations containing the same ideal: 152
  72. Wed Nov 18 07:53:03 2020 removing 5534598 relations and 3534598 ideals in 2000000 cliques
  73. Wed Nov 18 07:53:04 2020 commencing in-memory singleton removal
  74. Wed Nov 18 07:53:07 2020 begin with 38652446 relations and 34231859 unique ideals
  75. Wed Nov 18 07:53:24 2020 reduce to 38238110 relations and 30267170 ideals in 7 passes
  76. Wed Nov 18 07:53:24 2020 max relations containing the same ideal: 138
  77. Wed Nov 18 07:53:37 2020 removing 5484353 relations and 3484353 ideals in 2000000 cliques
  78. Wed Nov 18 07:53:39 2020 commencing in-memory singleton removal
  79. Wed Nov 18 07:53:41 2020 begin with 32753757 relations and 30267170 unique ideals
  80. Wed Nov 18 07:53:55 2020 reduce to 32296997 relations and 26306290 ideals in 7 passes
  81. Wed Nov 18 07:53:55 2020 max relations containing the same ideal: 119
  82. Wed Nov 18 07:54:06 2020 removing 5452994 relations and 3452994 ideals in 2000000 cliques
  83. Wed Nov 18 07:54:08 2020 commencing in-memory singleton removal
  84. Wed Nov 18 07:54:09 2020 begin with 26844003 relations and 26306290 unique ideals
  85. Wed Nov 18 07:54:21 2020 reduce to 26325505 relations and 22308103 ideals in 7 passes
  86. Wed Nov 18 07:54:21 2020 max relations containing the same ideal: 104
  87. Wed Nov 18 07:54:30 2020 removing 5440180 relations and 3440180 ideals in 2000000 cliques
  88. Wed Nov 18 07:54:31 2020 commencing in-memory singleton removal
  89. Wed Nov 18 07:54:32 2020 begin with 20885325 relations and 22308103 unique ideals
  90. Wed Nov 18 07:54:40 2020 reduce to 20264300 relations and 18208038 ideals in 7 passes
  91. Wed Nov 18 07:54:40 2020 max relations containing the same ideal: 87
  92. Wed Nov 18 07:54:46 2020 removing 4445646 relations and 2868430 ideals in 1577216 cliques
  93. Wed Nov 18 07:54:48 2020 commencing in-memory singleton removal
  94. Wed Nov 18 07:54:48 2020 begin with 15818654 relations and 18208038 unique ideals
  95. Wed Nov 18 07:54:55 2020 reduce to 15235534 relations and 14717659 ideals in 9 passes
  96. Wed Nov 18 07:54:55 2020 max relations containing the same ideal: 74
  97. Wed Nov 18 07:55:00 2020 removing 215976 relations and 177147 ideals in 38829 cliques
  98. Wed Nov 18 07:55:01 2020 commencing in-memory singleton removal
  99. Wed Nov 18 07:55:01 2020 begin with 15019558 relations and 14717659 unique ideals
  100. Wed Nov 18 07:55:05 2020 reduce to 15017111 relations and 14538057 ideals in 5 passes
  101. Wed Nov 18 07:55:05 2020 max relations containing the same ideal: 73
  102. Wed Nov 18 07:55:07 2020 relations with 0 large ideals: 0
  103. Wed Nov 18 07:55:07 2020 relations with 1 large ideals: 4830
  104. Wed Nov 18 07:55:07 2020 relations with 2 large ideals: 78945
  105. Wed Nov 18 07:55:07 2020 relations with 3 large ideals: 513319
  106. Wed Nov 18 07:55:07 2020 relations with 4 large ideals: 1731006
  107. Wed Nov 18 07:55:07 2020 relations with 5 large ideals: 3410205
  108. Wed Nov 18 07:55:07 2020 relations with 6 large ideals: 4135095
  109. Wed Nov 18 07:55:07 2020 relations with 7+ large ideals: 5143711
  110. Wed Nov 18 07:55:07 2020 commencing 2-way merge
  111. Wed Nov 18 07:55:13 2020 reduce to 10118830 relation sets and 9639776 unique ideals
  112. Wed Nov 18 07:55:13 2020 commencing full merge
  113. Wed Nov 18 07:57:58 2020 memory use: 1274.9 MB
  114. Wed Nov 18 07:57:58 2020 found 4519531 cycles, need 4497976
  115. Wed Nov 18 07:58:00 2020 weight of 4497976 cycles is about 575868824 (128.03/cycle)
  116. Wed Nov 18 07:58:00 2020 distribution of cycle lengths:
  117. Wed Nov 18 07:58:00 2020 1 relations: 89145
  118. Wed Nov 18 07:58:00 2020 2 relations: 218362
  119. Wed Nov 18 07:58:00 2020 3 relations: 291144
  120. Wed Nov 18 07:58:00 2020 4 relations: 319462
  121. Wed Nov 18 07:58:00 2020 5 relations: 343873
  122. Wed Nov 18 07:58:00 2020 6 relations: 348413
  123. Wed Nov 18 07:58:00 2020 7 relations: 347915
  124. Wed Nov 18 07:58:00 2020 8 relations: 332925
  125. Wed Nov 18 07:58:00 2020 9 relations: 311982
  126. Wed Nov 18 07:58:00 2020 10+ relations: 1894755
  127. Wed Nov 18 07:58:00 2020 heaviest cycle: 28 relations
  128. Wed Nov 18 07:58:01 2020 commencing cycle optimization
  129. Wed Nov 18 07:58:08 2020 start with 41787226 relations
  130. Wed Nov 18 07:59:18 2020 pruned 2316865 relations
  131. Wed Nov 18 07:59:18 2020 memory use: 1054.6 MB
  132. Wed Nov 18 07:59:18 2020 distribution of cycle lengths:
  133. Wed Nov 18 07:59:18 2020 1 relations: 89145
  134. Wed Nov 18 07:59:18 2020 2 relations: 225529
  135. Wed Nov 18 07:59:18 2020 3 relations: 306013
  136. Wed Nov 18 07:59:18 2020 4 relations: 336335
  137. Wed Nov 18 07:59:18 2020 5 relations: 365496
  138. Wed Nov 18 07:59:18 2020 6 relations: 371064
  139. Wed Nov 18 07:59:18 2020 7 relations: 371893
  140. Wed Nov 18 07:59:18 2020 8 relations: 353722
  141. Wed Nov 18 07:59:18 2020 9 relations: 330404
  142. Wed Nov 18 07:59:18 2020 10+ relations: 1748375
  143. Wed Nov 18 07:59:18 2020 heaviest cycle: 28 relations
  144. Wed Nov 18 07:59:25 2020 RelProcTime: 2473
  145. Wed Nov 18 07:59:25 2020
  146. Wed Nov 18 07:59:25 2020 commencing linear algebra
  147. Wed Nov 18 07:59:26 2020 read 4497976 cycles
  148. Wed Nov 18 07:59:33 2020 cycles contain 14789822 unique relations
  149. Wed Nov 18 08:00:41 2020 read 14789822 relations
  150. Wed Nov 18 08:01:01 2020 using 20 quadratic characters above 4294917295
  151. Wed Nov 18 08:01:52 2020 building initial matrix
  152. Wed Nov 18 08:04:06 2020 memory use: 1834.8 MB
  153. Wed Nov 18 08:04:08 2020 read 4497976 cycles
  154. Wed Nov 18 08:04:08 2020 matrix is 4497799 x 4497976 (2199.9 MB) with weight 626626629 (139.31/col)
  155. Wed Nov 18 08:04:08 2020 sparse part has weight 527204621 (117.21/col)
  156. Wed Nov 18 08:04:54 2020 filtering completed in 2 passes
  157. Wed Nov 18 08:04:55 2020 matrix is 4497738 x 4497915 (2199.9 MB) with weight 626623967 (139.31/col)
  158. Wed Nov 18 08:04:55 2020 sparse part has weight 527203502 (117.21/col)
  159. Wed Nov 18 08:05:04 2020 matrix starts at (0, 0)
  160. Wed Nov 18 08:05:04 2020 matrix is 4497738 x 4497915 (2199.9 MB) with weight 626623967 (139.31/col)
  161. Wed Nov 18 08:05:04 2020 sparse part has weight 527203502 (117.21/col)
  162. Wed Nov 18 08:05:04 2020 saving the first 48 matrix rows for later
  163. Wed Nov 18 08:05:05 2020 matrix includes 64 packed rows
  164. Wed Nov 18 08:05:06 2020 matrix is 4497690 x 4497915 (2104.8 MB) with weight 541932693 (120.49/col)
  165. Wed Nov 18 08:05:06 2020 sparse part has weight 506779710 (112.67/col)
  166. Wed Nov 18 08:05:06 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  167. Wed Nov 18 08:05:21 2020 commencing Lanczos iteration (3 threads)
  168. Wed Nov 18 08:05:21 2020 memory use: 1978.4 MB
  169. Wed Nov 18 08:05:40 2020 linear algebra at 0.0%, ETA 14h48m
  170. Wed Nov 18 08:05:46 2020 checkpointing every 310000 dimensions
  171. Wed Nov 18 21:42:51 2020 lanczos halted after 71131 iterations (dim = 4497689)
  172. Wed Nov 18 21:42:57 2020 recovered 37 nontrivial dependencies
  173. Wed Nov 18 21:42:57 2020 BLanczosTime: 49412
  174. Wed Nov 18 21:42:57 2020
  175. Wed Nov 18 21:42:57 2020 commencing square root phase
  176. Wed Nov 18 21:42:57 2020 handling dependencies 1 to 64
  177. Wed Nov 18 21:42:57 2020 reading relations for dependency 1
  178. Wed Nov 18 21:42:57 2020 read 2247204 cycles
  179. Wed Nov 18 21:43:00 2020 cycles contain 7390258 unique relations
  180. Wed Nov 18 21:43:42 2020 read 7390258 relations
  181. Wed Nov 18 21:44:04 2020 multiplying 7390258 relations
  182. Wed Nov 18 21:46:30 2020 multiply complete, coefficients have about 182.29 million bits
  183. Wed Nov 18 21:46:31 2020 initial square root is modulo 3482461
  184. Wed Nov 18 21:49:24 2020 found factor: 326316275874858407717873129053603923198897169129398847757844636829262855475283564104097
  185. Wed Nov 18 21:49:24 2020 reading relations for dependency 2
  186. Wed Nov 18 21:49:25 2020 read 2249199 cycles
  187. Wed Nov 18 21:49:27 2020 cycles contain 7394322 unique relations
  188. Wed Nov 18 21:50:08 2020 read 7394322 relations
  189. Wed Nov 18 21:50:30 2020 multiplying 7394322 relations
  190. Wed Nov 18 21:52:57 2020 multiply complete, coefficients have about 182.38 million bits
  191. Wed Nov 18 21:52:58 2020 initial square root is modulo 3509761
  192. Wed Nov 18 21:55:50 2020 sqrtTime: 773
  193. Wed Nov 18 21:55:50 2020 p54 factor: 115937219551971052177979966083323924336819776341443587
  194. Wed Nov 18 21:55:50 2020 p56 factor: 60782557590530142003676921569957900375224929291902211769
  195. Wed Nov 18 21:55:50 2020 p87 factor: 326316275874858407717873129053603923198897169129398847757844636829262855475283564104097
  196. Wed Nov 18 21:55:50 2020 elapsed time 14:37:39
  197.  
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