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Mar 13th, 2021
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  1. Sat Mar 13 08:09:27 2021
  2. Sat Mar 13 08:09:27 2021 Msieve v. 1.54 (SVN 1025)
  3. Sat Mar 13 08:09:27 2021 random seeds: e3b2cc52 67cc0b4a
  4. Sat Mar 13 08:09:27 2021 factoring 5700810342238100007403425689006438490969668986957348829360652812558246130064214779149269116385831611359717192732995298236537553457654760308502844879153670939860819603986461619684736133167740484011344708486351339441 (214 digits)
  5. Sat Mar 13 08:09:29 2021 searching for 15-digit factors
  6. Sat Mar 13 08:09:29 2021 commencing number field sieve (214-digit input)
  7. Sat Mar 13 08:09:29 2021 R0: 274779385661583918674191179310397622695969202132614567
  8. Sat Mar 13 08:09:29 2021 R1: -1
  9. Sat Mar 13 08:09:29 2021 A0: 1
  10. Sat Mar 13 08:09:29 2021 A1: 1
  11. Sat Mar 13 08:09:29 2021 A2: 1
  12. Sat Mar 13 08:09:29 2021 A3: 1
  13. Sat Mar 13 08:09:29 2021 A4: 1
  14. Sat Mar 13 08:09:29 2021 skew 1.00, size 8.618e-22, alpha 1.694, combined = 5.226e-13 rroots = 0
  15. Sat Mar 13 08:09:29 2021
  16. Sat Mar 13 08:09:29 2021 commencing relation filtering
  17. Sat Mar 13 08:09:29 2021 setting target matrix density to 128.0
  18. Sat Mar 13 08:09:29 2021 estimated available RAM is 15984.6 MB
  19. Sat Mar 13 08:09:29 2021 commencing duplicate removal, pass 1
  20. Sat Mar 13 08:17:37 2021 error -1 reading relation 55743971
  21. Sat Mar 13 08:23:06 2021 error -1 reading relation 93229332
  22. Sat Mar 13 08:23:09 2021 error -1 reading relation 93442011
  23. Sat Mar 13 08:25:14 2021 error -11 reading relation 107773821
  24. Sat Mar 13 08:26:58 2021 skipped 694 relations with b > 2^32
  25. Sat Mar 13 08:26:58 2021 skipped 1 relations with composite factors
  26. Sat Mar 13 08:26:58 2021 found 6158311 hash collisions in 119316202 relations
  27. Sat Mar 13 08:26:58 2021 commencing duplicate removal, pass 2
  28. Sat Mar 13 08:27:56 2021 found 0 duplicates and 119316202 unique relations
  29. Sat Mar 13 08:27:56 2021 memory use: 378.4 MB
  30. Sat Mar 13 08:27:56 2021 reading ideals above 85917696
  31. Sat Mar 13 08:27:56 2021 commencing singleton removal, initial pass
  32. Sat Mar 13 08:40:30 2021 memory use: 2756.0 MB
  33. Sat Mar 13 08:40:30 2021 reading all ideals from disk
  34. Sat Mar 13 08:40:33 2021 memory use: 1927.2 MB
  35. Sat Mar 13 08:40:37 2021 commencing in-memory singleton removal
  36. Sat Mar 13 08:40:41 2021 begin with 119316202 relations and 82889816 unique ideals
  37. Sat Mar 13 08:41:24 2021 reduce to 90070572 relations and 51400105 ideals in 10 passes
  38. Sat Mar 13 08:41:24 2021 max relations containing the same ideal: 53
  39. Sat Mar 13 08:41:29 2021 reading ideals above 720000
  40. Sat Mar 13 08:41:29 2021 commencing singleton removal, initial pass
  41. Sat Mar 13 08:53:35 2021 memory use: 1506.0 MB
  42. Sat Mar 13 08:53:35 2021 reading all ideals from disk
  43. Sat Mar 13 08:53:43 2021 memory use: 3394.2 MB
  44. Sat Mar 13 08:53:54 2021 keeping 60857771 ideals with weight <= 200, target excess is 529769
  45. Sat Mar 13 08:54:05 2021 commencing in-memory singleton removal
  46. Sat Mar 13 08:54:14 2021 begin with 90070572 relations and 60857771 unique ideals
  47. Sat Mar 13 08:54:47 2021 reduce to 90069476 relations and 60856673 ideals in 4 passes
  48. Sat Mar 13 08:54:47 2021 max relations containing the same ideal: 200
  49. Sat Mar 13 08:55:25 2021 removing 7136939 relations and 5136939 ideals in 2000000 cliques
  50. Sat Mar 13 08:55:28 2021 commencing in-memory singleton removal
  51. Sat Mar 13 08:55:36 2021 begin with 82932537 relations and 60856673 unique ideals
  52. Sat Mar 13 08:56:23 2021 reduce to 82443872 relations and 55216958 ideals in 6 passes
  53. Sat Mar 13 08:56:23 2021 max relations containing the same ideal: 197
  54. Sat Mar 13 08:56:58 2021 removing 5815793 relations and 3815793 ideals in 2000000 cliques
  55. Sat Mar 13 08:57:00 2021 commencing in-memory singleton removal
  56. Sat Mar 13 08:57:07 2021 begin with 76628079 relations and 55216958 unique ideals
  57. Sat Mar 13 08:57:50 2021 reduce to 76308609 relations and 51073471 ideals in 6 passes
  58. Sat Mar 13 08:57:50 2021 max relations containing the same ideal: 190
  59. Sat Mar 13 08:58:23 2021 removing 5452238 relations and 3452238 ideals in 2000000 cliques
  60. Sat Mar 13 08:58:25 2021 commencing in-memory singleton removal
  61. Sat Mar 13 08:58:31 2021 begin with 70856371 relations and 51073471 unique ideals
  62. Sat Mar 13 08:59:01 2021 reduce to 70584355 relations and 47342265 ideals in 6 passes
  63. Sat Mar 13 08:59:01 2021 max relations containing the same ideal: 182
  64. Sat Mar 13 08:59:30 2021 removing 5255588 relations and 3255588 ideals in 2000000 cliques
  65. Sat Mar 13 08:59:32 2021 commencing in-memory singleton removal
  66. Sat Mar 13 08:59:38 2021 begin with 65328767 relations and 47342265 unique ideals
  67. Sat Mar 13 09:00:11 2021 reduce to 65079872 relations and 43831100 ideals in 6 passes
  68. Sat Mar 13 09:00:11 2021 max relations containing the same ideal: 174
  69. Sat Mar 13 09:00:38 2021 removing 5120391 relations and 3120391 ideals in 2000000 cliques
  70. Sat Mar 13 09:00:40 2021 commencing in-memory singleton removal
  71. Sat Mar 13 09:00:46 2021 begin with 59959481 relations and 43831100 unique ideals
  72. Sat Mar 13 09:01:16 2021 reduce to 59722395 relations and 40466908 ideals in 6 passes
  73. Sat Mar 13 09:01:16 2021 max relations containing the same ideal: 164
  74. Sat Mar 13 09:01:42 2021 removing 5023588 relations and 3023588 ideals in 2000000 cliques
  75. Sat Mar 13 09:01:44 2021 commencing in-memory singleton removal
  76. Sat Mar 13 09:01:49 2021 begin with 54698807 relations and 40466908 unique ideals
  77. Sat Mar 13 09:02:18 2021 reduce to 54465751 relations and 37203458 ideals in 6 passes
  78. Sat Mar 13 09:02:18 2021 max relations containing the same ideal: 154
  79. Sat Mar 13 09:02:40 2021 removing 4948579 relations and 2948579 ideals in 2000000 cliques
  80. Sat Mar 13 09:02:42 2021 commencing in-memory singleton removal
  81. Sat Mar 13 09:02:47 2021 begin with 49517172 relations and 37203458 unique ideals
  82. Sat Mar 13 09:03:08 2021 reduce to 49283296 relations and 34013687 ideals in 5 passes
  83. Sat Mar 13 09:03:08 2021 max relations containing the same ideal: 145
  84. Sat Mar 13 09:03:28 2021 removing 4888352 relations and 2888352 ideals in 2000000 cliques
  85. Sat Mar 13 09:03:30 2021 commencing in-memory singleton removal
  86. Sat Mar 13 09:03:34 2021 begin with 44394944 relations and 34013687 unique ideals
  87. Sat Mar 13 09:03:56 2021 reduce to 44153567 relations and 30875617 ideals in 6 passes
  88. Sat Mar 13 09:03:56 2021 max relations containing the same ideal: 135
  89. Sat Mar 13 09:04:15 2021 removing 4842438 relations and 2842438 ideals in 2000000 cliques
  90. Sat Mar 13 09:04:17 2021 commencing in-memory singleton removal
  91. Sat Mar 13 09:04:20 2021 begin with 39311129 relations and 30875617 unique ideals
  92. Sat Mar 13 09:04:35 2021 reduce to 39059436 relations and 27772253 ideals in 6 passes
  93. Sat Mar 13 09:04:35 2021 max relations containing the same ideal: 127
  94. Sat Mar 13 09:04:51 2021 removing 4798761 relations and 2798761 ideals in 2000000 cliques
  95. Sat Mar 13 09:04:53 2021 commencing in-memory singleton removal
  96. Sat Mar 13 09:04:56 2021 begin with 34260675 relations and 27772253 unique ideals
  97. Sat Mar 13 09:05:10 2021 reduce to 33993822 relations and 24695965 ideals in 5 passes
  98. Sat Mar 13 09:05:10 2021 max relations containing the same ideal: 115
  99. Sat Mar 13 09:05:23 2021 removing 4762224 relations and 2762224 ideals in 2000000 cliques
  100. Sat Mar 13 09:05:25 2021 commencing in-memory singleton removal
  101. Sat Mar 13 09:05:27 2021 begin with 29231598 relations and 24695965 unique ideals
  102. Sat Mar 13 09:05:41 2021 reduce to 28941847 relations and 21630958 ideals in 6 passes
  103. Sat Mar 13 09:05:41 2021 max relations containing the same ideal: 103
  104. Sat Mar 13 09:05:52 2021 removing 4726843 relations and 2726843 ideals in 2000000 cliques
  105. Sat Mar 13 09:05:54 2021 commencing in-memory singleton removal
  106. Sat Mar 13 09:05:56 2021 begin with 24215004 relations and 21630958 unique ideals
  107. Sat Mar 13 09:06:07 2021 reduce to 23894768 relations and 18567531 ideals in 7 passes
  108. Sat Mar 13 09:06:07 2021 max relations containing the same ideal: 88
  109. Sat Mar 13 09:06:15 2021 removing 4687671 relations and 2687671 ideals in 2000000 cliques
  110. Sat Mar 13 09:06:16 2021 commencing in-memory singleton removal
  111. Sat Mar 13 09:06:18 2021 begin with 19207097 relations and 18567531 unique ideals
  112. Sat Mar 13 09:06:26 2021 reduce to 18838244 relations and 15488545 ideals in 6 passes
  113. Sat Mar 13 09:06:26 2021 max relations containing the same ideal: 76
  114. Sat Mar 13 09:06:32 2021 removing 4650460 relations and 2650460 ideals in 2000000 cliques
  115. Sat Mar 13 09:06:33 2021 commencing in-memory singleton removal
  116. Sat Mar 13 09:06:34 2021 begin with 14187784 relations and 15488545 unique ideals
  117. Sat Mar 13 09:06:40 2021 reduce to 13719113 relations and 12334512 ideals in 7 passes
  118. Sat Mar 13 09:06:40 2021 max relations containing the same ideal: 60
  119. Sat Mar 13 09:06:45 2021 removing 2003593 relations and 1233525 ideals in 770068 cliques
  120. Sat Mar 13 09:06:46 2021 commencing in-memory singleton removal
  121. Sat Mar 13 09:06:47 2021 begin with 11715520 relations and 12334512 unique ideals
  122. Sat Mar 13 09:06:52 2021 reduce to 11443921 relations and 10814363 ideals in 7 passes
  123. Sat Mar 13 09:06:52 2021 max relations containing the same ideal: 52
  124. Sat Mar 13 09:06:56 2021 removing 76878 relations and 61853 ideals in 15025 cliques
  125. Sat Mar 13 09:06:57 2021 commencing in-memory singleton removal
  126. Sat Mar 13 09:06:57 2021 begin with 11367043 relations and 10814363 unique ideals
  127. Sat Mar 13 09:07:00 2021 reduce to 11366506 relations and 10751973 ideals in 4 passes
  128. Sat Mar 13 09:07:00 2021 max relations containing the same ideal: 52
  129. Sat Mar 13 09:07:02 2021 relations with 0 large ideals: 38784
  130. Sat Mar 13 09:07:02 2021 relations with 1 large ideals: 11551
  131. Sat Mar 13 09:07:02 2021 relations with 2 large ideals: 130890
  132. Sat Mar 13 09:07:02 2021 relations with 3 large ideals: 681656
  133. Sat Mar 13 09:07:02 2021 relations with 4 large ideals: 1874450
  134. Sat Mar 13 09:07:02 2021 relations with 5 large ideals: 3281751
  135. Sat Mar 13 09:07:02 2021 relations with 6 large ideals: 2763132
  136. Sat Mar 13 09:07:02 2021 relations with 7+ large ideals: 2584292
  137. Sat Mar 13 09:07:02 2021 commencing 2-way merge
  138. Sat Mar 13 09:07:08 2021 reduce to 8396687 relation sets and 7782154 unique ideals
  139. Sat Mar 13 09:07:08 2021 commencing full merge
  140. Sat Mar 13 09:09:51 2021 memory use: 947.0 MB
  141. Sat Mar 13 09:09:52 2021 found 3594954 cycles, need 3584354
  142. Sat Mar 13 09:09:53 2021 weight of 3584354 cycles is about 459017942 (128.06/cycle)
  143. Sat Mar 13 09:09:53 2021 distribution of cycle lengths:
  144. Sat Mar 13 09:09:53 2021 1 relations: 78386
  145. Sat Mar 13 09:09:53 2021 2 relations: 125659
  146. Sat Mar 13 09:09:53 2021 3 relations: 188035
  147. Sat Mar 13 09:09:53 2021 4 relations: 227674
  148. Sat Mar 13 09:09:53 2021 5 relations: 252783
  149. Sat Mar 13 09:09:53 2021 6 relations: 264741
  150. Sat Mar 13 09:09:53 2021 7 relations: 267092
  151. Sat Mar 13 09:09:53 2021 8 relations: 259391
  152. Sat Mar 13 09:09:53 2021 9 relations: 247224
  153. Sat Mar 13 09:09:53 2021 10+ relations: 1673369
  154. Sat Mar 13 09:09:53 2021 heaviest cycle: 28 relations
  155. Sat Mar 13 09:09:54 2021 commencing cycle optimization
  156. Sat Mar 13 09:10:02 2021 start with 35883070 relations
  157. Sat Mar 13 09:11:15 2021 pruned 2464256 relations
  158. Sat Mar 13 09:11:15 2021 memory use: 836.7 MB
  159. Sat Mar 13 09:11:15 2021 distribution of cycle lengths:
  160. Sat Mar 13 09:11:15 2021 1 relations: 78386
  161. Sat Mar 13 09:11:15 2021 2 relations: 129721
  162. Sat Mar 13 09:11:15 2021 3 relations: 197986
  163. Sat Mar 13 09:11:15 2021 4 relations: 241600
  164. Sat Mar 13 09:11:15 2021 5 relations: 272816
  165. Sat Mar 13 09:11:15 2021 6 relations: 286640
  166. Sat Mar 13 09:11:15 2021 7 relations: 291816
  167. Sat Mar 13 09:11:15 2021 8 relations: 282386
  168. Sat Mar 13 09:11:15 2021 9 relations: 267052
  169. Sat Mar 13 09:11:15 2021 10+ relations: 1535951
  170. Sat Mar 13 09:11:15 2021 heaviest cycle: 28 relations
  171. Sat Mar 13 09:11:20 2021 RelProcTime: 3711
  172. Sat Mar 13 09:11:20 2021
  173. Sat Mar 13 09:11:20 2021 commencing linear algebra
  174. Sat Mar 13 09:11:21 2021 read 3584354 cycles
  175. Sat Mar 13 09:11:26 2021 cycles contain 11113148 unique relations
  176. Sat Mar 13 09:12:24 2021 read 11113148 relations
  177. Sat Mar 13 09:12:38 2021 using 20 quadratic characters above 4294917295
  178. Sat Mar 13 09:13:15 2021 building initial matrix
  179. Sat Mar 13 09:15:07 2021 memory use: 1439.2 MB
  180. Sat Mar 13 09:15:09 2021 read 3584354 cycles
  181. Sat Mar 13 09:15:09 2021 matrix is 3584177 x 3584354 (1745.9 MB) with weight 499673045 (139.40/col)
  182. Sat Mar 13 09:15:09 2021 sparse part has weight 418242489 (116.69/col)
  183. Sat Mar 13 09:15:51 2021 filtering completed in 2 passes
  184. Sat Mar 13 09:15:52 2021 matrix is 3584152 x 3584329 (1745.9 MB) with weight 499671995 (139.40/col)
  185. Sat Mar 13 09:15:52 2021 sparse part has weight 418241987 (116.69/col)
  186. Sat Mar 13 09:16:00 2021 matrix starts at (0, 0)
  187. Sat Mar 13 09:16:00 2021 matrix is 3584152 x 3584329 (1745.9 MB) with weight 499671995 (139.40/col)
  188. Sat Mar 13 09:16:00 2021 sparse part has weight 418241987 (116.69/col)
  189. Sat Mar 13 09:16:00 2021 saving the first 48 matrix rows for later
  190. Sat Mar 13 09:16:01 2021 matrix includes 64 packed rows
  191. Sat Mar 13 09:16:01 2021 matrix is 3584104 x 3584329 (1671.7 MB) with weight 432084628 (120.55/col)
  192. Sat Mar 13 09:16:01 2021 sparse part has weight 402392930 (112.26/col)
  193. Sat Mar 13 09:16:01 2021 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  194. Sat Mar 13 09:16:13 2021 commencing Lanczos iteration (3 threads)
  195. Sat Mar 13 09:16:13 2021 memory use: 1576.8 MB
  196. Sat Mar 13 09:16:39 2021 linear algebra at 0.0%, ETA 16h20m
  197. Sat Mar 13 09:16:47 2021 checkpointing every 230000 dimensions
  198. Sat Mar 13 18:05:15 2021 lanczos halted after 56677 iterations (dim = 3584104)
  199. Sat Mar 13 18:05:18 2021 recovered 37 nontrivial dependencies
  200. Sat Mar 13 18:05:18 2021 BLanczosTime: 32038
  201. Sat Mar 13 18:05:18 2021
  202. Sat Mar 13 18:05:18 2021 commencing square root phase
  203. Sat Mar 13 18:05:18 2021 handling dependencies 1 to 64
  204. Sat Mar 13 18:05:18 2021 reading relations for dependency 1
  205. Sat Mar 13 18:05:19 2021 read 1791927 cycles
  206. Sat Mar 13 18:05:21 2021 cycles contain 5555730 unique relations
  207. Sat Mar 13 18:06:04 2021 read 5555730 relations
  208. Sat Mar 13 18:06:20 2021 multiplying 5555730 relations
  209. Sat Mar 13 18:07:35 2021 multiply complete, coefficients have about 143.91 million bits
  210. Sat Mar 13 18:07:36 2021 initial square root is modulo 146093
  211. Sat Mar 13 18:09:13 2021 sqrtTime: 235
  212. Sat Mar 13 18:09:13 2021 p90 factor: 284202881510683347475176907460119479399415964500167204710789013785607330380927704859591881
  213. Sat Mar 13 18:09:13 2021 p125 factor: 20058946313054195103068119374324510216982270959248938299224468450496475668003423447877064250491691678128921232078954339278761
  214. Sat Mar 13 18:09:13 2021 elapsed time 09:59:46
  215.  
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