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  1. Thu Apr 2 10:04:42 2020 Msieve v. 1.54 (SVN 1025)
  2. Thu Apr 2 10:04:42 2020 random seeds: a104965f 0dad38a4
  3. Thu Apr 2 10:04:42 2020 factoring 2176619427537252962778913301811421852404262885698506551924386718318200841070107928114164971142709922612160275176946859426446497603987996142948590700283737753713001557507494736195729079360430490907437 (199 digits)
  4. Thu Apr 2 10:04:43 2020 searching for 15-digit factors
  5. Thu Apr 2 10:04:43 2020 commencing number field sieve (199-digit input)
  6. Thu Apr 2 10:04:43 2020 R0: 204264381464480086642888691362603231231
  7. Thu Apr 2 10:04:43 2020 R1: -1
  8. Thu Apr 2 10:04:43 2020 A0: -1
  9. Thu Apr 2 10:04:43 2020 A1: 0
  10. Thu Apr 2 10:04:43 2020 A2: 0
  11. Thu Apr 2 10:04:43 2020 A3: 0
  12. Thu Apr 2 10:04:43 2020 A4: 0
  13. Thu Apr 2 10:04:43 2020 A5: 0
  14. Thu Apr 2 10:04:43 2020 A6: 5889307277311
  15. Thu Apr 2 10:04:43 2020 skew 0.01, size 2.471e-13, alpha 1.417, combined = 4.558e-14 rroots = 2
  16. Thu Apr 2 10:04:43 2020
  17. Thu Apr 2 10:04:43 2020 commencing relation filtering
  18. Thu Apr 2 10:04:43 2020 setting target matrix density to 140.0
  19. Thu Apr 2 10:04:43 2020 estimated available RAM is 16007.4 MB
  20. Thu Apr 2 10:04:43 2020 commencing duplicate removal, pass 1
  21. Thu Apr 2 10:08:17 2020 error -15 reading relation 30335174
  22. Thu Apr 2 10:29:16 2020 error -1 reading relation 208347804
  23. Thu Apr 2 10:30:38 2020 error -15 reading relation 219819209
  24. Thu Apr 2 10:33:11 2020 error -1 reading relation 241193558
  25. Thu Apr 2 10:34:29 2020 error -15 reading relation 252123944
  26. Thu Apr 2 10:34:29 2020 error -5 reading relation 252123959
  27. Thu Apr 2 10:35:02 2020 error -15 reading relation 256755718
  28. Thu Apr 2 10:38:45 2020 error -1 reading relation 288102104
  29. Thu Apr 2 10:38:58 2020 error -1 reading relation 290025510
  30. Thu Apr 2 10:39:57 2020 error -15 reading relation 298178547
  31. Thu Apr 2 10:40:05 2020 error -11 reading relation 299300513
  32. Thu Apr 2 10:43:44 2020 error -5 reading relation 330056634
  33. Thu Apr 2 10:43:44 2020 error -1 reading relation 330119254
  34. Thu Apr 2 10:43:51 2020 error -15 reading relation 331036306
  35. Thu Apr 2 10:45:35 2020 skipped 1423999 relations with b > 2^32
  36. Thu Apr 2 10:45:35 2020 skipped 7 relations with composite factors
  37. Thu Apr 2 10:45:35 2020 found 24860840 hash collisions in 344212580 relations
  38. Thu Apr 2 10:45:49 2020 added 1221911 free relations
  39. Thu Apr 2 10:45:49 2020 commencing duplicate removal, pass 2
  40. Thu Apr 2 10:47:34 2020 found 18 duplicates and 345434473 unique relations
  41. Thu Apr 2 10:47:34 2020 memory use: 1257.5 MB
  42. Thu Apr 2 10:47:34 2020 reading ideals above 261816320
  43. Thu Apr 2 10:47:34 2020 commencing singleton removal, initial pass
  44. Thu Apr 2 11:18:56 2020 memory use: 6024.0 MB
  45. Thu Apr 2 11:18:57 2020 reading all ideals from disk
  46. Thu Apr 2 11:19:15 2020 memory use: 6705.6 MB
  47. Thu Apr 2 11:19:29 2020 commencing in-memory singleton removal
  48. Thu Apr 2 11:19:41 2020 begin with 345434473 relations and 311010865 unique ideals
  49. Thu Apr 2 11:22:35 2020 reduce to 206575124 relations and 156514100 ideals in 17 passes
  50. Thu Apr 2 11:22:35 2020 max relations containing the same ideal: 36
  51. Thu Apr 2 11:22:47 2020 reading ideals above 720000
  52. Thu Apr 2 11:22:47 2020 commencing singleton removal, initial pass
  53. Thu Apr 2 11:47:14 2020 memory use: 5512.0 MB
  54. Thu Apr 2 11:47:14 2020 reading large ideals from disk
  55. Thu Apr 2 11:48:41 2020 keeping 170495737 ideals with weight <= 20, target excess is 14611683
  56. Thu Apr 2 11:50:11 2020 memory use: 5263.3 MB
  57. Thu Apr 2 11:50:11 2020 commencing in-memory singleton removal
  58. Thu Apr 2 11:50:20 2020 begin with 206575124 relations and 170495737 unique ideals
  59. Thu Apr 2 11:51:56 2020 reduce to 206571957 relations and 170492570 ideals in 9 passes
  60. Thu Apr 2 11:51:56 2020 max relations containing the same ideal: 20
  61. Thu Apr 2 11:52:53 2020 removing 15128139 relations and 13128139 ideals in 2000000 cliques
  62. Thu Apr 2 11:52:57 2020 commencing in-memory singleton removal
  63. Thu Apr 2 11:53:06 2020 begin with 191443818 relations and 170492570 unique ideals
  64. Thu Apr 2 11:54:44 2020 reduce to 190445655 relations and 156352346 ideals in 10 passes
  65. Thu Apr 2 11:54:44 2020 max relations containing the same ideal: 20
  66. Thu Apr 2 11:55:37 2020 removing 11303211 relations and 9303211 ideals in 2000000 cliques
  67. Thu Apr 2 11:55:41 2020 commencing in-memory singleton removal
  68. Thu Apr 2 11:55:49 2020 begin with 179142444 relations and 156352346 unique ideals
  69. Thu Apr 2 11:57:02 2020 reduce to 178519466 relations and 146418662 ideals in 8 passes
  70. Thu Apr 2 11:57:02 2020 max relations containing the same ideal: 20
  71. Thu Apr 2 11:57:50 2020 removing 10127173 relations and 8127173 ideals in 2000000 cliques
  72. Thu Apr 2 11:57:54 2020 commencing in-memory singleton removal
  73. Thu Apr 2 11:58:00 2020 begin with 168392293 relations and 146418662 unique ideals
  74. Thu Apr 2 11:59:15 2020 reduce to 167859457 relations and 137752540 ideals in 9 passes
  75. Thu Apr 2 11:59:15 2020 max relations containing the same ideal: 20
  76. Thu Apr 2 12:00:01 2020 removing 9493124 relations and 7493124 ideals in 2000000 cliques
  77. Thu Apr 2 12:00:04 2020 commencing in-memory singleton removal
  78. Thu Apr 2 12:00:10 2020 begin with 158366333 relations and 137752540 unique ideals
  79. Thu Apr 2 12:01:14 2020 reduce to 157870718 relations and 129757965 ideals in 8 passes
  80. Thu Apr 2 12:01:14 2020 max relations containing the same ideal: 20
  81. Thu Apr 2 12:01:57 2020 removing 9096780 relations and 7096780 ideals in 2000000 cliques
  82. Thu Apr 2 12:02:00 2020 commencing in-memory singleton removal
  83. Thu Apr 2 12:02:05 2020 begin with 148773938 relations and 129757965 unique ideals
  84. Thu Apr 2 12:03:04 2020 reduce to 148295163 relations and 122176730 ideals in 8 passes
  85. Thu Apr 2 12:03:04 2020 max relations containing the same ideal: 20
  86. Thu Apr 2 12:03:44 2020 removing 8816690 relations and 6816690 ideals in 2000000 cliques
  87. Thu Apr 2 12:03:47 2020 commencing in-memory singleton removal
  88. Thu Apr 2 12:03:52 2020 begin with 139478473 relations and 122176730 unique ideals
  89. Thu Apr 2 12:04:47 2020 reduce to 139001682 relations and 114877192 ideals in 8 passes
  90. Thu Apr 2 12:04:47 2020 max relations containing the same ideal: 20
  91. Thu Apr 2 12:05:25 2020 removing 8625788 relations and 6625788 ideals in 2000000 cliques
  92. Thu Apr 2 12:05:28 2020 commencing in-memory singleton removal
  93. Thu Apr 2 12:05:32 2020 begin with 130375894 relations and 114877192 unique ideals
  94. Thu Apr 2 12:06:28 2020 reduce to 129895949 relations and 107765076 ideals in 9 passes
  95. Thu Apr 2 12:06:28 2020 max relations containing the same ideal: 20
  96. Thu Apr 2 12:07:02 2020 removing 8489690 relations and 6489690 ideals in 2000000 cliques
  97. Thu Apr 2 12:07:05 2020 commencing in-memory singleton removal
  98. Thu Apr 2 12:07:09 2020 begin with 121406259 relations and 107765076 unique ideals
  99. Thu Apr 2 12:07:55 2020 reduce to 120910200 relations and 100772221 ideals in 8 passes
  100. Thu Apr 2 12:07:55 2020 max relations containing the same ideal: 20
  101. Thu Apr 2 12:08:27 2020 removing 8405504 relations and 6405504 ideals in 2000000 cliques
  102. Thu Apr 2 12:08:30 2020 commencing in-memory singleton removal
  103. Thu Apr 2 12:08:34 2020 begin with 112504696 relations and 100772221 unique ideals
  104. Thu Apr 2 12:09:16 2020 reduce to 111981970 relations and 93836269 ideals in 8 passes
  105. Thu Apr 2 12:09:16 2020 max relations containing the same ideal: 20
  106. Thu Apr 2 12:09:45 2020 removing 5489164 relations and 4293016 ideals in 1196148 cliques
  107. Thu Apr 2 12:09:47 2020 commencing in-memory singleton removal
  108. Thu Apr 2 12:09:51 2020 begin with 106492806 relations and 93836269 unique ideals
  109. Thu Apr 2 12:10:30 2020 reduce to 106262511 relations and 89310627 ideals in 8 passes
  110. Thu Apr 2 12:10:30 2020 max relations containing the same ideal: 20
  111. Thu Apr 2 12:11:03 2020 relations with 0 large ideals: 1557356
  112. Thu Apr 2 12:11:03 2020 relations with 1 large ideals: 7623551
  113. Thu Apr 2 12:11:03 2020 relations with 2 large ideals: 21097626
  114. Thu Apr 2 12:11:03 2020 relations with 3 large ideals: 31167081
  115. Thu Apr 2 12:11:03 2020 relations with 4 large ideals: 26479866
  116. Thu Apr 2 12:11:03 2020 relations with 5 large ideals: 13326444
  117. Thu Apr 2 12:11:03 2020 relations with 6 large ideals: 4089123
  118. Thu Apr 2 12:11:03 2020 relations with 7+ large ideals: 921464
  119. Thu Apr 2 12:11:03 2020 commencing 2-way merge
  120. Thu Apr 2 12:11:41 2020 reduce to 68346949 relation sets and 51395065 unique ideals
  121. Thu Apr 2 12:11:41 2020 commencing full merge
  122. Thu Apr 2 12:23:31 2020 memory use: 4652.8 MB
  123. Thu Apr 2 12:23:35 2020 found 27530032 cycles, need 26539265
  124. Thu Apr 2 12:23:42 2020 weight of 26539265 cycles is about 3716036076 (140.02/cycle)
  125. Thu Apr 2 12:23:42 2020 distribution of cycle lengths:
  126. Thu Apr 2 12:23:42 2020 1 relations: 2001483
  127. Thu Apr 2 12:23:42 2020 2 relations: 1467087
  128. Thu Apr 2 12:23:42 2020 3 relations: 1567998
  129. Thu Apr 2 12:23:42 2020 4 relations: 1569547
  130. Thu Apr 2 12:23:42 2020 5 relations: 1579718
  131. Thu Apr 2 12:23:42 2020 6 relations: 1542061
  132. Thu Apr 2 12:23:42 2020 7 relations: 1491423
  133. Thu Apr 2 12:23:42 2020 8 relations: 1439439
  134. Thu Apr 2 12:23:42 2020 9 relations: 1377559
  135. Thu Apr 2 12:23:42 2020 10+ relations: 12502950
  136. Thu Apr 2 12:23:42 2020 heaviest cycle: 28 relations
  137. Thu Apr 2 12:23:44 2020 commencing cycle optimization
  138. Thu Apr 2 12:24:37 2020 start with 262085492 relations
  139. Thu Apr 2 12:34:20 2020 pruned 14242220 relations
  140. Thu Apr 2 12:34:20 2020 memory use: 6656.6 MB
  141. Thu Apr 2 12:34:20 2020 distribution of cycle lengths:
  142. Thu Apr 2 12:34:20 2020 1 relations: 2001483
  143. Thu Apr 2 12:34:20 2020 2 relations: 1518835
  144. Thu Apr 2 12:34:20 2020 3 relations: 1655158
  145. Thu Apr 2 12:34:20 2020 4 relations: 1658277
  146. Thu Apr 2 12:34:20 2020 5 relations: 1682781
  147. Thu Apr 2 12:34:20 2020 6 relations: 1637858
  148. Thu Apr 2 12:34:20 2020 7 relations: 1589785
  149. Thu Apr 2 12:34:20 2020 8 relations: 1527624
  150. Thu Apr 2 12:34:20 2020 9 relations: 1463377
  151. Thu Apr 2 12:34:20 2020 10+ relations: 11804087
  152. Thu Apr 2 12:34:20 2020 heaviest cycle: 28 relations
  153. Thu Apr 2 12:34:43 2020 RelProcTime: 9000
  154. Thu Apr 2 12:34:43 2020
  155. Thu Apr 2 12:34:43 2020 commencing linear algebra
  156. Thu Apr 2 12:35:18 2020 read 26539265 cycles
  157. Thu Apr 2 12:36:17 2020 cycles contain 96243444 unique relations
  158. Thu Apr 2 12:43:55 2020 read 96243444 relations
  159. Thu Apr 2 12:46:55 2020 using 20 quadratic characters above 4294917295
  160. Thu Apr 2 12:52:59 2020 building initial matrix
  161. Thu Apr 2 13:11:37 2020 memory use: 12395.7 MB
  162. Thu Apr 2 13:12:25 2020 read 26539265 cycles
  163. Thu Apr 2 13:12:59 2020 matrix is 26539004 x 26539265 (14035.9 MB) with weight 3995117384 (150.54/col)
  164. Thu Apr 2 13:12:59 2020 sparse part has weight 3414024171 (128.64/col)
  165. Thu Apr 2 13:23:23 2020 filtering completed in 2 passes
  166. Thu Apr 2 13:23:28 2020 matrix is 26529024 x 26529224 (14033.7 MB) with weight 3994412655 (150.57/col)
  167. Thu Apr 2 13:23:28 2020 sparse part has weight 3413551162 (128.67/col)
  168. Thu Apr 2 13:31:29 2020 matrix starts at (0, 0)
  169. Thu Apr 2 13:31:32 2020 matrix is 26529024 x 26529224 (14033.7 MB) with weight 3994412655 (150.57/col)
  170. Thu Apr 2 13:31:32 2020 sparse part has weight 3413551162 (128.67/col)
  171. Thu Apr 2 13:31:32 2020 saving the first 48 matrix rows for later
  172. Thu Apr 2 13:31:37 2020 matrix includes 64 packed rows
  173. Thu Apr 2 13:31:41 2020 matrix is 26528976 x 26529224 (13532.8 MB) with weight 3485012141 (131.37/col)
  174. Thu Apr 2 13:31:41 2020 sparse part has weight 3282255121 (123.72/col)
  175. Thu Apr 2 13:31:41 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  176. Thu Apr 2 13:33:42 2020 commencing Lanczos iteration (4 threads)
  177. Thu Apr 2 13:33:42 2020 memory use: 12944.5 MB
  178. Thu Apr 2 13:36:51 2020 linear algebra at 0.0%, ETA 876h39m
  179. Thu Apr 2 13:37:50 2020 checkpointing every 40000 dimensions
  180. Thu May 7 17:34:01 2020 lanczos halted after 419520 iterations (dim = 26528968)
  181. Thu May 7 17:34:36 2020 recovered 32 nontrivial dependencies
  182. Thu May 7 17:34:37 2020 BLanczosTime: 3041994
  183. Thu May 7 17:34:37 2020
  184. Thu May 7 17:34:37 2020 commencing square root phase
  185. Thu May 7 17:34:38 2020 handling dependencies 1 to 64
  186. Thu May 7 17:34:38 2020 reading relations for dependency 1
  187. Thu May 7 17:34:41 2020 read 13267236 cycles
  188. Thu May 7 17:35:05 2020 cycles contain 48134000 unique relations
  189. Thu May 7 17:39:12 2020 read 48134000 relations
  190. Thu May 7 17:42:13 2020 multiplying 48134000 relations
  191. Thu May 7 18:30:43 2020
  192. Thu May 7 18:30:43 2020
  193. Thu May 7 18:30:43 2020 Msieve v. 1.54 (SVN 1025)
  194. Thu May 7 18:30:43 2020 random seeds: 01beb207 dcfe4bc6
  195. Thu May 7 18:30:43 2020 factoring 2176619427537252962778913301811421852404262885698506551924386718318200841070107928114164971142709922612160275176946859426446497603987996142948590700283737753713001557507494736195729079360430490907437 (199 digits)
  196. Thu May 7 18:30:44 2020 searching for 15-digit factors
  197. Thu May 7 18:30:44 2020 commencing number field sieve (199-digit input)
  198. Thu May 7 18:30:44 2020 R0: 204264381464480086642888691362603231231
  199. Thu May 7 18:30:44 2020 R1: -1
  200. Thu May 7 18:30:44 2020 A0: -1
  201. Thu May 7 18:30:44 2020 A1: 0
  202. Thu May 7 18:30:44 2020 A2: 0
  203. Thu May 7 18:30:44 2020 A3: 0
  204. Thu May 7 18:30:44 2020 A4: 0
  205. Thu May 7 18:30:44 2020 A5: 0
  206. Thu May 7 18:30:44 2020 A6: 5889307277311
  207. Thu May 7 18:30:44 2020 skew 0.01, size 2.471e-13, alpha 1.417, combined = 4.558e-14 rroots = 2
  208. Thu May 7 18:30:44 2020
  209. Thu May 7 18:30:44 2020 commencing square root phase
  210. Thu May 7 18:30:44 2020 reading relations for dependency 1
  211. Thu May 7 18:30:48 2020 read 13267236 cycles
  212. Thu May 7 18:31:13 2020 cycles contain 48134000 unique relations
  213. Thu May 7 18:35:20 2020 read 48134000 relations
  214. Thu May 7 18:38:27 2020 multiplying 48134000 relations
  215. Thu May 7 20:14:13 2020 multiply complete, coefficients have about 3111.95 million bits
  216. Thu May 7 20:14:21 2020 initial square root is modulo 9542557
  217. Thu May 7 21:53:59 2020 sqrtTime: 12195
  218. Thu May 7 21:53:59 2020 p66 factor: 189258630947559590398670362426215827354073163172957168841346595297
  219. Thu May 7 21:53:59 2020 p134 factor: 11500767054266380579674168619140610743570513666126679550403756821358912457911053686418737841555849346341803289802232794883659907324621
  220. Thu May 7 21:53:59 2020 elapsed time 03:23:16
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