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Sep 28th, 2020
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  1. Sun Sep 27 19:36:09 2020
  2. Sun Sep 27 19:36:09 2020
  3. Sun Sep 27 19:36:09 2020 Msieve v. 1.54 (SVN 1025)
  4. Sun Sep 27 19:36:09 2020 random seeds: 12178668 61cdb9bf
  5. Sun Sep 27 19:36:09 2020 factoring 739087886564063229057742506141134767921904834603407236970697324827264004659842144839092930256596018535994841677778641579900355916100806787619768764703007793308758312448968373201851775269406226100753665503330863440937543 (219 digits)
  6. Sun Sep 27 19:36:10 2020 searching for 15-digit factors
  7. Sun Sep 27 19:36:10 2020 commencing number field sieve (219-digit input)
  8. Sun Sep 27 19:36:10 2020 elapsed time 00:00:01
  9. Sun Sep 27 19:36:25 2020
  10. Sun Sep 27 19:36:25 2020
  11. Sun Sep 27 19:36:25 2020 Msieve v. 1.54 (SVN 1025)
  12. Sun Sep 27 19:36:25 2020 random seeds: 1d110f30 686f0cbc
  13. Sun Sep 27 19:36:25 2020 factoring 739087886564063229057742506141134767921904834603407236970697324827264004659842144839092930256596018535994841677778641579900355916100806787619768764703007793308758312448968373201851775269406226100753665503330863440937543 (219 digits)
  14. Sun Sep 27 19:36:26 2020 searching for 15-digit factors
  15. Sun Sep 27 19:36:27 2020 commencing number field sieve (219-digit input)
  16. Sun Sep 27 19:36:27 2020 R0: 23052022067431050825264764433875832941
  17. Sun Sep 27 19:36:27 2020 R1: -1
  18. Sun Sep 27 19:36:27 2020 A0: 1
  19. Sun Sep 27 19:36:27 2020 A1: 1
  20. Sun Sep 27 19:36:27 2020 A2: 1
  21. Sun Sep 27 19:36:27 2020 A3: 1
  22. Sun Sep 27 19:36:27 2020 A4: 1
  23. Sun Sep 27 19:36:27 2020 A5: 1
  24. Sun Sep 27 19:36:27 2020 A6: 1
  25. Sun Sep 27 19:36:27 2020 skew 1.00, size 4.110e-11, alpha 2.428, combined = 1.777e-12 rroots = 0
  26. Sun Sep 27 19:36:27 2020
  27. Sun Sep 27 19:36:27 2020 commencing relation filtering
  28. Sun Sep 27 19:36:27 2020 setting target matrix density to 120.0
  29. Sun Sep 27 19:36:27 2020 estimated available RAM is 16007.4 MB
  30. Sun Sep 27 19:36:27 2020 commencing duplicate removal, pass 1
  31. Sun Sep 27 19:43:48 2020 error -11 reading relation 65822099
  32. Sun Sep 27 19:48:15 2020 skipped 7 relations with b > 2^32
  33. Sun Sep 27 19:48:15 2020 skipped 1 relations with composite factors
  34. Sun Sep 27 19:48:15 2020 found 4852880 hash collisions in 105461001 relations
  35. Sun Sep 27 19:48:22 2020 added 2438534 free relations
  36. Sun Sep 27 19:48:22 2020 commencing duplicate removal, pass 2
  37. Sun Sep 27 19:48:47 2020 found 0 duplicates and 107899535 unique relations
  38. Sun Sep 27 19:48:47 2020 memory use: 261.2 MB
  39. Sun Sep 27 19:48:47 2020 reading ideals above 59965440
  40. Sun Sep 27 19:48:47 2020 commencing singleton removal, initial pass
  41. Sun Sep 27 19:58:12 2020 memory use: 2756.0 MB
  42. Sun Sep 27 19:58:12 2020 reading all ideals from disk
  43. Sun Sep 27 19:58:13 2020 memory use: 1892.0 MB
  44. Sun Sep 27 19:58:17 2020 commencing in-memory singleton removal
  45. Sun Sep 27 19:58:20 2020 begin with 107899535 relations and 83395449 unique ideals
  46. Sun Sep 27 19:59:05 2020 reduce to 76400720 relations and 49273073 ideals in 14 passes
  47. Sun Sep 27 19:59:05 2020 max relations containing the same ideal: 45
  48. Sun Sep 27 19:59:09 2020 reading ideals above 720000
  49. Sun Sep 27 19:59:09 2020 commencing singleton removal, initial pass
  50. Sun Sep 27 20:07:15 2020 memory use: 1506.0 MB
  51. Sun Sep 27 20:07:15 2020 reading all ideals from disk
  52. Sun Sep 27 20:07:20 2020 memory use: 2820.1 MB
  53. Sun Sep 27 20:07:26 2020 keeping 55999622 ideals with weight <= 200, target excess is 393333
  54. Sun Sep 27 20:07:33 2020 commencing in-memory singleton removal
  55. Sun Sep 27 20:07:38 2020 begin with 76400720 relations and 55999622 unique ideals
  56. Sun Sep 27 20:07:44 2020 reduce to 76400720 relations and 55999622 ideals in 1 passes
  57. Sun Sep 27 20:07:44 2020 max relations containing the same ideal: 200
  58. Sun Sep 27 20:08:10 2020 removing 7568567 relations and 5568567 ideals in 2000000 cliques
  59. Sun Sep 27 20:08:12 2020 commencing in-memory singleton removal
  60. Sun Sep 27 20:08:17 2020 begin with 68832153 relations and 55999622 unique ideals
  61. Sun Sep 27 20:09:05 2020 reduce to 68195521 relations and 49773802 ideals in 9 passes
  62. Sun Sep 27 20:09:05 2020 max relations containing the same ideal: 195
  63. Sun Sep 27 20:09:29 2020 removing 6232825 relations and 4232825 ideals in 2000000 cliques
  64. Sun Sep 27 20:09:31 2020 commencing in-memory singleton removal
  65. Sun Sep 27 20:09:35 2020 begin with 61962696 relations and 49773802 unique ideals
  66. Sun Sep 27 20:10:08 2020 reduce to 61520109 relations and 45085255 ideals in 7 passes
  67. Sun Sep 27 20:10:08 2020 max relations containing the same ideal: 186
  68. Sun Sep 27 20:10:29 2020 removing 5817674 relations and 3817674 ideals in 2000000 cliques
  69. Sun Sep 27 20:10:31 2020 commencing in-memory singleton removal
  70. Sun Sep 27 20:10:35 2020 begin with 55702435 relations and 45085255 unique ideals
  71. Sun Sep 27 20:11:00 2020 reduce to 55309621 relations and 40862805 ideals in 6 passes
  72. Sun Sep 27 20:11:00 2020 max relations containing the same ideal: 172
  73. Sun Sep 27 20:11:19 2020 removing 5606716 relations and 3606716 ideals in 2000000 cliques
  74. Sun Sep 27 20:11:21 2020 commencing in-memory singleton removal
  75. Sun Sep 27 20:11:24 2020 begin with 49702905 relations and 40862805 unique ideals
  76. Sun Sep 27 20:11:50 2020 reduce to 49321843 relations and 36862458 ideals in 7 passes
  77. Sun Sep 27 20:11:50 2020 max relations containing the same ideal: 159
  78. Sun Sep 27 20:12:07 2020 removing 5478656 relations and 3478656 ideals in 2000000 cliques
  79. Sun Sep 27 20:12:09 2020 commencing in-memory singleton removal
  80. Sun Sep 27 20:12:11 2020 begin with 43843187 relations and 36862458 unique ideals
  81. Sun Sep 27 20:12:30 2020 reduce to 43457825 relations and 32984469 ideals in 6 passes
  82. Sun Sep 27 20:12:30 2020 max relations containing the same ideal: 146
  83. Sun Sep 27 20:12:46 2020 removing 5399553 relations and 3399553 ideals in 2000000 cliques
  84. Sun Sep 27 20:12:47 2020 commencing in-memory singleton removal
  85. Sun Sep 27 20:12:50 2020 begin with 38058272 relations and 32984469 unique ideals
  86. Sun Sep 27 20:13:06 2020 reduce to 37651585 relations and 29161981 ideals in 6 passes
  87. Sun Sep 27 20:13:06 2020 max relations containing the same ideal: 133
  88. Sun Sep 27 20:13:19 2020 removing 5351506 relations and 3351506 ideals in 2000000 cliques
  89. Sun Sep 27 20:13:21 2020 commencing in-memory singleton removal
  90. Sun Sep 27 20:13:23 2020 begin with 32300079 relations and 29161981 unique ideals
  91. Sun Sep 27 20:13:39 2020 reduce to 31857367 relations and 25347703 ideals in 7 passes
  92. Sun Sep 27 20:13:39 2020 max relations containing the same ideal: 116
  93. Sun Sep 27 20:13:50 2020 removing 5320475 relations and 3320475 ideals in 2000000 cliques
  94. Sun Sep 27 20:13:51 2020 commencing in-memory singleton removal
  95. Sun Sep 27 20:13:53 2020 begin with 26536892 relations and 25347703 unique ideals
  96. Sun Sep 27 20:14:06 2020 reduce to 26037055 relations and 21501084 ideals in 7 passes
  97. Sun Sep 27 20:14:06 2020 max relations containing the same ideal: 103
  98. Sun Sep 27 20:14:15 2020 removing 5298457 relations and 3298457 ideals in 2000000 cliques
  99. Sun Sep 27 20:14:16 2020 commencing in-memory singleton removal
  100. Sun Sep 27 20:14:18 2020 begin with 20738598 relations and 21501084 unique ideals
  101. Sun Sep 27 20:14:27 2020 reduce to 20150286 relations and 17576270 ideals in 7 passes
  102. Sun Sep 27 20:14:27 2020 max relations containing the same ideal: 90
  103. Sun Sep 27 20:14:35 2020 removing 5269051 relations and 3269051 ideals in 2000000 cliques
  104. Sun Sep 27 20:14:36 2020 commencing in-memory singleton removal
  105. Sun Sep 27 20:14:37 2020 begin with 14881235 relations and 17576270 unique ideals
  106. Sun Sep 27 20:14:44 2020 reduce to 14129659 relations and 13493841 ideals in 8 passes
  107. Sun Sep 27 20:14:44 2020 max relations containing the same ideal: 69
  108. Sun Sep 27 20:14:49 2020 removing 747664 relations and 568113 ideals in 179551 cliques
  109. Sun Sep 27 20:14:50 2020 commencing in-memory singleton removal
  110. Sun Sep 27 20:14:51 2020 begin with 13381995 relations and 13493841 unique ideals
  111. Sun Sep 27 20:14:59 2020 reduce to 13339322 relations and 12882454 ideals in 9 passes
  112. Sun Sep 27 20:14:59 2020 max relations containing the same ideal: 65
  113. Sun Sep 27 20:15:05 2020 relations with 0 large ideals: 29572
  114. Sun Sep 27 20:15:05 2020 relations with 1 large ideals: 8488
  115. Sun Sep 27 20:15:05 2020 relations with 2 large ideals: 85230
  116. Sun Sep 27 20:15:05 2020 relations with 3 large ideals: 509744
  117. Sun Sep 27 20:15:05 2020 relations with 4 large ideals: 1616765
  118. Sun Sep 27 20:15:05 2020 relations with 5 large ideals: 3018289
  119. Sun Sep 27 20:15:05 2020 relations with 6 large ideals: 3493074
  120. Sun Sep 27 20:15:05 2020 relations with 7+ large ideals: 4578160
  121. Sun Sep 27 20:15:05 2020 commencing 2-way merge
  122. Sun Sep 27 20:15:12 2020 reduce to 9148155 relation sets and 8691287 unique ideals
  123. Sun Sep 27 20:15:12 2020 commencing full merge
  124. Sun Sep 27 20:18:25 2020 memory use: 1202.6 MB
  125. Sun Sep 27 20:18:26 2020 found 4073969 cycles, need 4071487
  126. Sun Sep 27 20:18:26 2020 weight of 4071487 cycles is about 489019650 (120.11/cycle)
  127. Sun Sep 27 20:18:26 2020 distribution of cycle lengths:
  128. Sun Sep 27 20:18:26 2020 1 relations: 140854
  129. Sun Sep 27 20:18:26 2020 2 relations: 203792
  130. Sun Sep 27 20:18:26 2020 3 relations: 256373
  131. Sun Sep 27 20:18:26 2020 4 relations: 279538
  132. Sun Sep 27 20:18:26 2020 5 relations: 296330
  133. Sun Sep 27 20:18:26 2020 6 relations: 300370
  134. Sun Sep 27 20:18:26 2020 7 relations: 295888
  135. Sun Sep 27 20:18:26 2020 8 relations: 284621
  136. Sun Sep 27 20:18:26 2020 9 relations: 265807
  137. Sun Sep 27 20:18:26 2020 10+ relations: 1747914
  138. Sun Sep 27 20:18:26 2020 heaviest cycle: 28 relations
  139. Sun Sep 27 20:18:27 2020 commencing cycle optimization
  140. Sun Sep 27 20:18:35 2020 start with 38476360 relations
  141. Sun Sep 27 20:19:54 2020 pruned 2097612 relations
  142. Sun Sep 27 20:19:54 2020 memory use: 949.4 MB
  143. Sun Sep 27 20:19:54 2020 distribution of cycle lengths:
  144. Sun Sep 27 20:19:54 2020 1 relations: 140854
  145. Sun Sep 27 20:19:54 2020 2 relations: 208613
  146. Sun Sep 27 20:19:54 2020 3 relations: 267184
  147. Sun Sep 27 20:19:54 2020 4 relations: 292458
  148. Sun Sep 27 20:19:54 2020 5 relations: 313968
  149. Sun Sep 27 20:19:54 2020 6 relations: 318150
  150. Sun Sep 27 20:19:54 2020 7 relations: 315285
  151. Sun Sep 27 20:19:54 2020 8 relations: 301330
  152. Sun Sep 27 20:19:54 2020 9 relations: 282301
  153. Sun Sep 27 20:19:54 2020 10+ relations: 1631344
  154. Sun Sep 27 20:19:54 2020 heaviest cycle: 28 relations
  155. Sun Sep 27 20:20:00 2020 RelProcTime: 2613
  156. Sun Sep 27 20:20:00 2020
  157. Sun Sep 27 20:20:00 2020 commencing linear algebra
  158. Sun Sep 27 20:20:01 2020 read 4071487 cycles
  159. Sun Sep 27 20:20:09 2020 cycles contain 13119813 unique relations
  160. Sun Sep 27 20:21:19 2020 read 13119813 relations
  161. Sun Sep 27 20:21:37 2020 using 20 quadratic characters above 4294917295
  162. Sun Sep 27 20:22:25 2020 building initial matrix
  163. Sun Sep 27 20:24:34 2020 memory use: 1622.4 MB
  164. Sun Sep 27 20:24:35 2020 read 4071487 cycles
  165. Sun Sep 27 20:24:36 2020 matrix is 4071310 x 4071487 (1893.7 MB) with weight 539545603 (132.52/col)
  166. Sun Sep 27 20:24:36 2020 sparse part has weight 451628773 (110.92/col)
  167. Sun Sep 27 20:25:18 2020 filtering completed in 2 passes
  168. Sun Sep 27 20:25:19 2020 matrix is 4071283 x 4071460 (1893.7 MB) with weight 539544741 (132.52/col)
  169. Sun Sep 27 20:25:19 2020 sparse part has weight 451628565 (110.93/col)
  170. Sun Sep 27 20:25:27 2020 matrix starts at (0, 0)
  171. Sun Sep 27 20:25:28 2020 matrix is 4071283 x 4071460 (1893.7 MB) with weight 539544741 (132.52/col)
  172. Sun Sep 27 20:25:28 2020 sparse part has weight 451628565 (110.93/col)
  173. Sun Sep 27 20:25:28 2020 saving the first 48 matrix rows for later
  174. Sun Sep 27 20:25:28 2020 matrix includes 64 packed rows
  175. Sun Sep 27 20:25:29 2020 matrix is 4071235 x 4071460 (1810.1 MB) with weight 464973357 (114.20/col)
  176. Sun Sep 27 20:25:29 2020 sparse part has weight 433794365 (106.55/col)
  177. Sun Sep 27 20:25:29 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  178. Sun Sep 27 20:25:41 2020 commencing Lanczos iteration (4 threads)
  179. Sun Sep 27 20:25:41 2020 memory use: 1714.5 MB
  180. Sun Sep 27 20:25:56 2020 linear algebra at 0.0%, ETA 10h25m
  181. Sun Sep 27 20:26:01 2020 checkpointing every 390000 dimensions
  182. Mon Sep 28 07:02:19 2020 lanczos halted after 64382 iterations (dim = 4071235)
  183. Mon Sep 28 07:02:22 2020 recovered 38 nontrivial dependencies
  184. Mon Sep 28 07:02:22 2020 BLanczosTime: 38542
  185. Mon Sep 28 07:02:22 2020
  186. Mon Sep 28 07:02:22 2020 commencing square root phase
  187. Mon Sep 28 07:02:22 2020 handling dependencies 1 to 64
  188. Mon Sep 28 07:02:22 2020 reading relations for dependency 1
  189. Mon Sep 28 07:02:23 2020 read 2035663 cycles
  190. Mon Sep 28 07:02:26 2020 cycles contain 6563608 unique relations
  191. Mon Sep 28 07:03:07 2020 read 6563608 relations
  192. Mon Sep 28 07:03:31 2020 multiplying 6563608 relations
  193. Mon Sep 28 07:06:38 2020 multiply complete, coefficients have about 158.46 million bits
  194. Mon Sep 28 07:06:38 2020 initial square root is modulo 486041
  195. Mon Sep 28 07:10:07 2020 sqrtTime: 465
  196. Mon Sep 28 07:10:07 2020 p97 factor: 1149932695322930654264929998802434627746983329131848583341939418810024086166310409312234432692589
  197. Mon Sep 28 07:10:07 2020 p123 factor: 642722734617531990302056701965891734522753082797721266522757778997032690750679003988019088453550564470724014149419467830787
  198. Mon Sep 28 07:10:07 2020 elapsed time 11:33:42
  199.  
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