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Dec 26th, 2020
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  1. Sat Dec 26 08:12:56 2020
  2. Sat Dec 26 08:12:56 2020
  3. Sat Dec 26 08:12:56 2020 Msieve v. 1.54 (SVN 1025)
  4. Sat Dec 26 08:12:56 2020 random seeds: 59555220 e704e48e
  5. Sat Dec 26 08:12:56 2020 factoring 22424680323776980435506800720166616826570860267706138938274686677684725607079756640574622731256847457766711711536097379018212770422185765364171532389735025778532515184190886540124735414999732033198931701658863 (209 digits)
  6. Sat Dec 26 08:12:57 2020 searching for 15-digit factors
  7. Sat Dec 26 08:12:57 2020 commencing number field sieve (209-digit input)
  8. Sat Dec 26 08:12:57 2020 R0: 12711678352369641693089526371212358762
  9. Sat Dec 26 08:12:57 2020 R1: -3565344072087523181
  10. Sat Dec 26 08:12:57 2020 A0: -1
  11. Sat Dec 26 08:12:57 2020 A1: 3
  12. Sat Dec 26 08:12:57 2020 A2: 6
  13. Sat Dec 26 08:12:57 2020 A3: -4
  14. Sat Dec 26 08:12:57 2020 A4: -5
  15. Sat Dec 26 08:12:57 2020 A5: 1
  16. Sat Dec 26 08:12:57 2020 A6: 1
  17. Sat Dec 26 08:12:57 2020 skew 1.00, size 5.644e-11, alpha 3.126, combined = 2.185e-12 rroots = 6
  18. Sat Dec 26 08:12:57 2020
  19. Sat Dec 26 08:12:57 2020 commencing relation filtering
  20. Sat Dec 26 08:12:57 2020 setting target matrix density to 120.0
  21. Sat Dec 26 08:12:57 2020 estimated available RAM is 15984.6 MB
  22. Sat Dec 26 08:12:57 2020 commencing duplicate removal, pass 1
  23. Sat Dec 26 08:25:47 2020 skipped 16 relations with b > 2^32
  24. Sat Dec 26 08:25:47 2020 found 5641616 hash collisions in 113939870 relations
  25. Sat Dec 26 08:25:54 2020 added 2438358 free relations
  26. Sat Dec 26 08:25:54 2020 commencing duplicate removal, pass 2
  27. Sat Dec 26 08:26:24 2020 found 0 duplicates and 116378228 unique relations
  28. Sat Dec 26 08:26:24 2020 memory use: 378.4 MB
  29. Sat Dec 26 08:26:24 2020 reading ideals above 67960832
  30. Sat Dec 26 08:26:24 2020 commencing singleton removal, initial pass
  31. Sat Dec 26 08:36:40 2020 memory use: 2756.0 MB
  32. Sat Dec 26 08:36:40 2020 reading all ideals from disk
  33. Sat Dec 26 08:36:44 2020 memory use: 2007.3 MB
  34. Sat Dec 26 08:36:47 2020 commencing in-memory singleton removal
  35. Sat Dec 26 08:36:51 2020 begin with 116378228 relations and 85909943 unique ideals
  36. Sat Dec 26 08:37:28 2020 reduce to 86460647 relations and 53614146 ideals in 11 passes
  37. Sat Dec 26 08:37:28 2020 max relations containing the same ideal: 56
  38. Sat Dec 26 08:37:33 2020 reading ideals above 720000
  39. Sat Dec 26 08:37:33 2020 commencing singleton removal, initial pass
  40. Sat Dec 26 08:47:15 2020 memory use: 1506.0 MB
  41. Sat Dec 26 08:47:15 2020 reading all ideals from disk
  42. Sat Dec 26 08:47:21 2020 memory use: 3205.2 MB
  43. Sat Dec 26 08:47:29 2020 keeping 61186435 ideals with weight <= 200, target excess is 437629
  44. Sat Dec 26 08:47:36 2020 commencing in-memory singleton removal
  45. Sat Dec 26 08:47:42 2020 begin with 86460647 relations and 61186435 unique ideals
  46. Sat Dec 26 08:47:54 2020 reduce to 86460646 relations and 61186434 ideals in 2 passes
  47. Sat Dec 26 08:47:54 2020 max relations containing the same ideal: 200
  48. Sat Dec 26 08:48:22 2020 removing 7455840 relations and 5455840 ideals in 2000000 cliques
  49. Sat Dec 26 08:48:24 2020 commencing in-memory singleton removal
  50. Sat Dec 26 08:48:30 2020 begin with 79004806 relations and 61186434 unique ideals
  51. Sat Dec 26 08:49:14 2020 reduce to 78467293 relations and 55177685 ideals in 8 passes
  52. Sat Dec 26 08:49:14 2020 max relations containing the same ideal: 196
  53. Sat Dec 26 08:49:39 2020 removing 6084577 relations and 4084577 ideals in 2000000 cliques
  54. Sat Dec 26 08:49:41 2020 commencing in-memory singleton removal
  55. Sat Dec 26 08:49:46 2020 begin with 72382716 relations and 55177685 unique ideals
  56. Sat Dec 26 08:50:16 2020 reduce to 72015193 relations and 50715895 ideals in 6 passes
  57. Sat Dec 26 08:50:16 2020 max relations containing the same ideal: 189
  58. Sat Dec 26 08:50:39 2020 removing 5679238 relations and 3679238 ideals in 2000000 cliques
  59. Sat Dec 26 08:50:41 2020 commencing in-memory singleton removal
  60. Sat Dec 26 08:50:46 2020 begin with 66335955 relations and 50715895 unique ideals
  61. Sat Dec 26 08:51:13 2020 reduce to 66014919 relations and 46707067 ideals in 6 passes
  62. Sat Dec 26 08:51:13 2020 max relations containing the same ideal: 181
  63. Sat Dec 26 08:51:34 2020 removing 5464325 relations and 3464325 ideals in 2000000 cliques
  64. Sat Dec 26 08:51:36 2020 commencing in-memory singleton removal
  65. Sat Dec 26 08:51:40 2020 begin with 60550594 relations and 46707067 unique ideals
  66. Sat Dec 26 08:52:05 2020 reduce to 60249654 relations and 42933447 ideals in 6 passes
  67. Sat Dec 26 08:52:05 2020 max relations containing the same ideal: 171
  68. Sat Dec 26 08:52:25 2020 removing 5330686 relations and 3330686 ideals in 2000000 cliques
  69. Sat Dec 26 08:52:27 2020 commencing in-memory singleton removal
  70. Sat Dec 26 08:52:31 2020 begin with 54918968 relations and 42933447 unique ideals
  71. Sat Dec 26 08:52:53 2020 reduce to 54623988 relations and 39299047 ideals in 6 passes
  72. Sat Dec 26 08:52:53 2020 max relations containing the same ideal: 157
  73. Sat Dec 26 08:53:12 2020 removing 5237503 relations and 3237503 ideals in 2000000 cliques
  74. Sat Dec 26 08:53:13 2020 commencing in-memory singleton removal
  75. Sat Dec 26 08:53:16 2020 begin with 49386485 relations and 39299047 unique ideals
  76. Sat Dec 26 08:53:37 2020 reduce to 49087580 relations and 35752831 ideals in 6 passes
  77. Sat Dec 26 08:53:37 2020 max relations containing the same ideal: 148
  78. Sat Dec 26 08:53:53 2020 removing 5172673 relations and 3172673 ideals in 2000000 cliques
  79. Sat Dec 26 08:53:55 2020 commencing in-memory singleton removal
  80. Sat Dec 26 08:53:58 2020 begin with 43914907 relations and 35752831 unique ideals
  81. Sat Dec 26 08:54:16 2020 reduce to 43604651 relations and 32259187 ideals in 6 passes
  82. Sat Dec 26 08:54:16 2020 max relations containing the same ideal: 138
  83. Sat Dec 26 08:54:30 2020 removing 5123427 relations and 3123427 ideals in 2000000 cliques
  84. Sat Dec 26 08:54:31 2020 commencing in-memory singleton removal
  85. Sat Dec 26 08:54:34 2020 begin with 38481224 relations and 32259187 unique ideals
  86. Sat Dec 26 08:54:49 2020 reduce to 38148890 relations and 28790500 ideals in 6 passes
  87. Sat Dec 26 08:54:49 2020 max relations containing the same ideal: 126
  88. Sat Dec 26 08:55:02 2020 removing 5089907 relations and 3089907 ideals in 2000000 cliques
  89. Sat Dec 26 08:55:04 2020 commencing in-memory singleton removal
  90. Sat Dec 26 08:55:06 2020 begin with 33058983 relations and 28790500 unique ideals
  91. Sat Dec 26 08:55:18 2020 reduce to 32697255 relations and 25322969 ideals in 6 passes
  92. Sat Dec 26 08:55:18 2020 max relations containing the same ideal: 112
  93. Sat Dec 26 08:55:29 2020 removing 5064097 relations and 3064097 ideals in 2000000 cliques
  94. Sat Dec 26 08:55:30 2020 commencing in-memory singleton removal
  95. Sat Dec 26 08:55:32 2020 begin with 27633158 relations and 25322969 unique ideals
  96. Sat Dec 26 08:55:42 2020 reduce to 27228218 relations and 21833820 ideals in 6 passes
  97. Sat Dec 26 08:55:42 2020 max relations containing the same ideal: 96
  98. Sat Dec 26 08:55:52 2020 removing 5042391 relations and 3042391 ideals in 2000000 cliques
  99. Sat Dec 26 08:55:53 2020 commencing in-memory singleton removal
  100. Sat Dec 26 08:55:54 2020 begin with 22185827 relations and 21833820 unique ideals
  101. Sat Dec 26 08:56:02 2020 reduce to 21723634 relations and 18302079 ideals in 6 passes
  102. Sat Dec 26 08:56:02 2020 max relations containing the same ideal: 82
  103. Sat Dec 26 08:56:10 2020 removing 5009293 relations and 3009293 ideals in 2000000 cliques
  104. Sat Dec 26 08:56:11 2020 commencing in-memory singleton removal
  105. Sat Dec 26 08:56:12 2020 begin with 16714341 relations and 18302079 unique ideals
  106. Sat Dec 26 08:56:20 2020 reduce to 16154266 relations and 14692079 ideals in 8 passes
  107. Sat Dec 26 08:56:20 2020 max relations containing the same ideal: 69
  108. Sat Dec 26 08:56:25 2020 removing 2627142 relations and 1672605 ideals in 954537 cliques
  109. Sat Dec 26 08:56:26 2020 commencing in-memory singleton removal
  110. Sat Dec 26 08:56:27 2020 begin with 13527124 relations and 14692079 unique ideals
  111. Sat Dec 26 08:56:32 2020 reduce to 13204523 relations and 12678633 ideals in 7 passes
  112. Sat Dec 26 08:56:32 2020 max relations containing the same ideal: 60
  113. Sat Dec 26 08:56:37 2020 removing 95783 relations and 77543 ideals in 18240 cliques
  114. Sat Dec 26 08:56:37 2020 commencing in-memory singleton removal
  115. Sat Dec 26 08:56:38 2020 begin with 13108740 relations and 12678633 unique ideals
  116. Sat Dec 26 08:56:41 2020 reduce to 13108048 relations and 12600397 ideals in 4 passes
  117. Sat Dec 26 08:56:41 2020 max relations containing the same ideal: 59
  118. Sat Dec 26 08:56:43 2020 relations with 0 large ideals: 32348
  119. Sat Dec 26 08:56:43 2020 relations with 1 large ideals: 11460
  120. Sat Dec 26 08:56:43 2020 relations with 2 large ideals: 101789
  121. Sat Dec 26 08:56:43 2020 relations with 3 large ideals: 583375
  122. Sat Dec 26 08:56:43 2020 relations with 4 large ideals: 1765848
  123. Sat Dec 26 08:56:43 2020 relations with 5 large ideals: 3121549
  124. Sat Dec 26 08:56:43 2020 relations with 6 large ideals: 3399748
  125. Sat Dec 26 08:56:43 2020 relations with 7+ large ideals: 4091931
  126. Sat Dec 26 08:56:43 2020 commencing 2-way merge
  127. Sat Dec 26 08:56:49 2020 reduce to 9319828 relation sets and 8812177 unique ideals
  128. Sat Dec 26 08:56:49 2020 commencing full merge
  129. Sat Dec 26 08:59:46 2020 memory use: 1198.4 MB
  130. Sat Dec 26 08:59:47 2020 found 4161517 cycles, need 4152377
  131. Sat Dec 26 08:59:48 2020 weight of 4152377 cycles is about 498587793 (120.07/cycle)
  132. Sat Dec 26 08:59:48 2020 distribution of cycle lengths:
  133. Sat Dec 26 08:59:48 2020 1 relations: 109292
  134. Sat Dec 26 08:59:48 2020 2 relations: 189576
  135. Sat Dec 26 08:59:48 2020 3 relations: 255924
  136. Sat Dec 26 08:59:48 2020 4 relations: 288714
  137. Sat Dec 26 08:59:48 2020 5 relations: 312786
  138. Sat Dec 26 08:59:48 2020 6 relations: 318489
  139. Sat Dec 26 08:59:48 2020 7 relations: 316213
  140. Sat Dec 26 08:59:48 2020 8 relations: 304638
  141. Sat Dec 26 08:59:48 2020 9 relations: 284929
  142. Sat Dec 26 08:59:48 2020 10+ relations: 1771816
  143. Sat Dec 26 08:59:48 2020 heaviest cycle: 28 relations
  144. Sat Dec 26 08:59:49 2020 commencing cycle optimization
  145. Sat Dec 26 08:59:56 2020 start with 39118406 relations
  146. Sat Dec 26 09:01:14 2020 pruned 2271395 relations
  147. Sat Dec 26 09:01:14 2020 memory use: 948.8 MB
  148. Sat Dec 26 09:01:15 2020 distribution of cycle lengths:
  149. Sat Dec 26 09:01:15 2020 1 relations: 109292
  150. Sat Dec 26 09:01:15 2020 2 relations: 194691
  151. Sat Dec 26 09:01:15 2020 3 relations: 267835
  152. Sat Dec 26 09:01:15 2020 4 relations: 303260
  153. Sat Dec 26 09:01:15 2020 5 relations: 332673
  154. Sat Dec 26 09:01:15 2020 6 relations: 339486
  155. Sat Dec 26 09:01:15 2020 7 relations: 339238
  156. Sat Dec 26 09:01:15 2020 8 relations: 324902
  157. Sat Dec 26 09:01:15 2020 9 relations: 303742
  158. Sat Dec 26 09:01:15 2020 10+ relations: 1637258
  159. Sat Dec 26 09:01:15 2020 heaviest cycle: 28 relations
  160. Sat Dec 26 09:01:21 2020 RelProcTime: 2904
  161. Sat Dec 26 09:01:21 2020
  162. Sat Dec 26 09:01:21 2020 commencing linear algebra
  163. Sat Dec 26 09:01:22 2020 read 4152377 cycles
  164. Sat Dec 26 09:01:29 2020 cycles contain 12890119 unique relations
  165. Sat Dec 26 09:02:35 2020 read 12890119 relations
  166. Sat Dec 26 09:02:53 2020 using 20 quadratic characters above 4294917295
  167. Sat Dec 26 09:03:38 2020 building initial matrix
  168. Sat Dec 26 09:05:46 2020 memory use: 1589.0 MB
  169. Sat Dec 26 09:05:48 2020 read 4152377 cycles
  170. Sat Dec 26 09:05:49 2020 matrix is 4152200 x 4152377 (1907.9 MB) with weight 541016643 (130.29/col)
  171. Sat Dec 26 09:05:49 2020 sparse part has weight 458625577 (110.45/col)
  172. Sat Dec 26 09:06:29 2020 filtering completed in 2 passes
  173. Sat Dec 26 09:06:30 2020 matrix is 4152158 x 4152335 (1907.9 MB) with weight 541015002 (130.29/col)
  174. Sat Dec 26 09:06:30 2020 sparse part has weight 458624816 (110.45/col)
  175. Sat Dec 26 09:06:38 2020 matrix starts at (0, 0)
  176. Sat Dec 26 09:06:39 2020 matrix is 4152158 x 4152335 (1907.9 MB) with weight 541015002 (130.29/col)
  177. Sat Dec 26 09:06:39 2020 sparse part has weight 458624816 (110.45/col)
  178. Sat Dec 26 09:06:39 2020 saving the first 48 matrix rows for later
  179. Sat Dec 26 09:06:40 2020 matrix includes 64 packed rows
  180. Sat Dec 26 09:06:40 2020 matrix is 4152110 x 4152335 (1829.7 MB) with weight 467215772 (112.52/col)
  181. Sat Dec 26 09:06:40 2020 sparse part has weight 438122160 (105.51/col)
  182. Sat Dec 26 09:06:40 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  183. Sat Dec 26 09:06:54 2020 commencing Lanczos iteration (3 threads)
  184. Sat Dec 26 09:06:54 2020 memory use: 1736.5 MB
  185. Sat Dec 26 09:07:26 2020 linear algebra at 0.0%, ETA 23h31m
  186. Sat Dec 26 09:07:36 2020 checkpointing every 180000 dimensions
  187. Sat Dec 26 19:42:53 2020 lanczos halted after 65659 iterations (dim = 4152110)
  188. Sat Dec 26 19:42:58 2020 recovered 35 nontrivial dependencies
  189. Sat Dec 26 19:42:58 2020 BLanczosTime: 38497
  190. Sat Dec 26 19:42:58 2020
  191. Sat Dec 26 19:42:58 2020 commencing square root phase
  192. Sat Dec 26 19:42:58 2020 handling dependencies 1 to 64
  193. Sat Dec 26 19:42:58 2020 reading relations for dependency 1
  194. Sat Dec 26 19:42:59 2020 read 2076081 cycles
  195. Sat Dec 26 19:43:02 2020 cycles contain 6443488 unique relations
  196. Sat Dec 26 19:43:38 2020 read 6443488 relations
  197. Sat Dec 26 19:43:56 2020 multiplying 6443488 relations
  198. Sat Dec 26 19:46:50 2020 multiply complete, coefficients have about 156.34 million bits
  199. Sat Dec 26 19:46:51 2020 initial square root is modulo 407947
  200. Sat Dec 26 19:50:06 2020 sqrtTime: 428
  201. Sat Dec 26 19:50:06 2020 p83 factor: 17145488029446357047300016636564505220872942809805758762746421255329492840773616279
  202. Sat Dec 26 19:50:06 2020 p127 factor: 1307905630056369598152764934325059564731388786794495092969360918438008182015254882690993978376339610776385752434151774894056297
  203. Sat Dec 26 19:50:06 2020 elapsed time 11:37:10
  204.  
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