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4p3_1257M

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Dec 17th, 2019
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  1. Sun Dec 15 19:31:19 2019
  2. Sun Dec 15 19:31:19 2019
  3. Sun Dec 15 19:31:19 2019 Msieve v. 1.53 (SVN 988M)
  4. Sun Dec 15 19:31:19 2019 random seeds: 282eae65 3ea6fd45
  5. Sun Dec 15 19:31:19 2019 factoring 34903706636215867451971517927172154877053009463661911621781150226377483363148732331467045530596246770900677124070255332317641759382380500377723928018028497126450034488029387278528721185976061581730980558155520937 (212 digits)
  6. Sun Dec 15 19:31:19 2019 searching for 15-digit factors
  7. Sun Dec 15 19:31:21 2019 commencing number field sieve (212-digit input)
  8. Sun Dec 15 19:31:21 2019 R0: -1393796574908163946345982392040522594123776
  9. Sun Dec 15 19:31:21 2019 R1: 2503155504993241601315571986085849
  10. Sun Dec 15 19:31:21 2019 A0: 4
  11. Sun Dec 15 19:31:21 2019 A1: 0
  12. Sun Dec 15 19:31:21 2019 A2: 0
  13. Sun Dec 15 19:31:21 2019 A3: 6
  14. Sun Dec 15 19:31:21 2019 A4: 0
  15. Sun Dec 15 19:31:21 2019 A5: 0
  16. Sun Dec 15 19:31:21 2019 A6: 3
  17. Sun Dec 15 19:31:21 2019 skew 1.05, size 1.984e-12, alpha 1.048, combined = 1.918e-13 rroots = 0
  18. Sun Dec 15 19:31:21 2019
  19. Sun Dec 15 19:31:21 2019 commencing relation filtering
  20. Sun Dec 15 19:31:21 2019 setting target matrix density to 120.0
  21. Sun Dec 15 19:31:21 2019 estimated available RAM is 32768.0 MB
  22. Sun Dec 15 19:31:21 2019 commencing duplicate removal, pass 1
  23. Sun Dec 15 19:43:17 2019 error -15 reading relation 116257375
  24. Sun Dec 15 19:44:55 2019 error -11 reading relation 132668778
  25. Sun Dec 15 19:48:33 2019 error -15 reading relation 169111386
  26. Sun Dec 15 19:48:47 2019 error -1 reading relation 171383684
  27. Sun Dec 15 19:49:59 2019 error -1 reading relation 183452473
  28. Sun Dec 15 19:50:52 2019 skipped 122 relations with b > 2^32
  29. Sun Dec 15 19:50:52 2019 skipped 4 relations with composite factors
  30. Sun Dec 15 19:50:52 2019 found 8121787 hash collisions in 192260204 relations
  31. Sun Dec 15 19:51:01 2019 added 812988 free relations
  32. Sun Dec 15 19:51:01 2019 commencing duplicate removal, pass 2
  33. Sun Dec 15 19:59:01 2019 found 0 duplicates and 193073192 unique relations
  34. Sun Dec 15 19:59:01 2019 memory use: 522.4 MB
  35. Sun Dec 15 19:59:01 2019 reading ideals above 133890048
  36. Sun Dec 15 19:59:01 2019 commencing singleton removal, initial pass
  37. Sun Dec 15 20:13:20 2019 memory use: 5512.0 MB
  38. Sun Dec 15 20:13:20 2019 reading all ideals from disk
  39. Sun Dec 15 20:14:50 2019 memory use: 3721.4 MB
  40. Sun Dec 15 20:14:57 2019 commencing in-memory singleton removal
  41. Sun Dec 15 20:15:04 2019 begin with 193073192 relations and 164739839 unique ideals
  42. Sun Dec 15 20:16:35 2019 reduce to 127451579 relations and 92633996 ideals in 15 passes
  43. Sun Dec 15 20:16:35 2019 max relations containing the same ideal: 40
  44. Sun Dec 15 20:16:51 2019 reading ideals above 720000
  45. Sun Dec 15 20:16:52 2019 commencing singleton removal, initial pass
  46. Sun Dec 15 20:30:12 2019 memory use: 3012.0 MB
  47. Sun Dec 15 20:30:12 2019 reading all ideals from disk
  48. Sun Dec 15 20:32:14 2019 memory use: 5079.6 MB
  49. Sun Dec 15 20:32:24 2019 keeping 107160392 ideals with weight <= 200, target excess is 645063
  50. Sun Dec 15 20:32:36 2019 commencing in-memory singleton removal
  51. Sun Dec 15 20:32:45 2019 begin with 127451579 relations and 107160392 unique ideals
  52. Sun Dec 15 20:33:24 2019 reduce to 127451401 relations and 107160214 ideals in 4 passes
  53. Sun Dec 15 20:33:24 2019 max relations containing the same ideal: 200
  54. Sun Dec 15 20:34:14 2019 removing 11458917 relations and 9458917 ideals in 2000000 cliques
  55. Sun Dec 15 20:34:17 2019 commencing in-memory singleton removal
  56. Sun Dec 15 20:34:25 2019 begin with 115992484 relations and 107160214 unique ideals
  57. Sun Dec 15 20:35:46 2019 reduce to 115139701 relations and 96830515 ideals in 9 passes
  58. Sun Dec 15 20:35:46 2019 max relations containing the same ideal: 195
  59. Sun Dec 15 20:36:30 2019 removing 8774217 relations and 6774217 ideals in 2000000 cliques
  60. Sun Dec 15 20:36:33 2019 commencing in-memory singleton removal
  61. Sun Dec 15 20:36:40 2019 begin with 106365484 relations and 96830515 unique ideals
  62. Sun Dec 15 20:37:46 2019 reduce to 105803565 relations and 89484156 ideals in 8 passes
  63. Sun Dec 15 20:37:46 2019 max relations containing the same ideal: 188
  64. Sun Dec 15 20:38:27 2019 removing 7965139 relations and 5965139 ideals in 2000000 cliques
  65. Sun Dec 15 20:38:30 2019 commencing in-memory singleton removal
  66. Sun Dec 15 20:38:37 2019 begin with 97838426 relations and 89484156 unique ideals
  67. Sun Dec 15 20:39:35 2019 reduce to 97340772 relations and 83012130 ideals in 8 passes
  68. Sun Dec 15 20:39:35 2019 max relations containing the same ideal: 179
  69. Sun Dec 15 20:40:14 2019 removing 7563558 relations and 5563558 ideals in 2000000 cliques
  70. Sun Dec 15 20:40:16 2019 commencing in-memory singleton removal
  71. Sun Dec 15 20:40:22 2019 begin with 89777214 relations and 83012130 unique ideals
  72. Sun Dec 15 20:41:15 2019 reduce to 89302674 relations and 76964930 ideals in 8 passes
  73. Sun Dec 15 20:41:15 2019 max relations containing the same ideal: 168
  74. Sun Dec 15 20:41:50 2019 removing 7314037 relations and 5314037 ideals in 2000000 cliques
  75. Sun Dec 15 20:41:53 2019 commencing in-memory singleton removal
  76. Sun Dec 15 20:41:58 2019 begin with 81988637 relations and 76964930 unique ideals
  77. Sun Dec 15 20:42:41 2019 reduce to 81519546 relations and 71172345 ideals in 7 passes
  78. Sun Dec 15 20:42:41 2019 max relations containing the same ideal: 160
  79. Sun Dec 15 20:43:13 2019 removing 7152011 relations and 5152011 ideals in 2000000 cliques
  80. Sun Dec 15 20:43:16 2019 commencing in-memory singleton removal
  81. Sun Dec 15 20:43:20 2019 begin with 74367535 relations and 71172345 unique ideals
  82. Sun Dec 15 20:43:59 2019 reduce to 73890278 relations and 65532661 ideals in 7 passes
  83. Sun Dec 15 20:43:59 2019 max relations containing the same ideal: 150
  84. Sun Dec 15 20:44:28 2019 removing 7046629 relations and 5046629 ideals in 2000000 cliques
  85. Sun Dec 15 20:44:30 2019 commencing in-memory singleton removal
  86. Sun Dec 15 20:44:35 2019 begin with 66843649 relations and 65532661 unique ideals
  87. Sun Dec 15 20:45:11 2019 reduce to 66344267 relations and 59974858 ideals in 7 passes
  88. Sun Dec 15 20:45:11 2019 max relations containing the same ideal: 143
  89. Sun Dec 15 20:45:37 2019 removing 6976113 relations and 4976113 ideals in 2000000 cliques
  90. Sun Dec 15 20:45:39 2019 commencing in-memory singleton removal
  91. Sun Dec 15 20:45:43 2019 begin with 59368154 relations and 59974858 unique ideals
  92. Sun Dec 15 20:46:21 2019 reduce to 58832819 relations and 54449368 ideals in 9 passes
  93. Sun Dec 15 20:46:21 2019 max relations containing the same ideal: 132
  94. Sun Dec 15 20:46:45 2019 removing 6933483 relations and 4933483 ideals in 2000000 cliques
  95. Sun Dec 15 20:46:47 2019 commencing in-memory singleton removal
  96. Sun Dec 15 20:46:50 2019 begin with 51899336 relations and 54449368 unique ideals
  97. Sun Dec 15 20:47:19 2019 reduce to 51302862 relations and 48902256 ideals in 8 passes
  98. Sun Dec 15 20:47:19 2019 max relations containing the same ideal: 118
  99. Sun Dec 15 20:47:40 2019 removing 5945070 relations and 4292738 ideals in 1652332 cliques
  100. Sun Dec 15 20:47:42 2019 commencing in-memory singleton removal
  101. Sun Dec 15 20:47:45 2019 begin with 45357792 relations and 48902256 unique ideals
  102. Sun Dec 15 20:48:13 2019 reduce to 44854654 relations and 44092157 ideals in 9 passes
  103. Sun Dec 15 20:48:13 2019 max relations containing the same ideal: 107
  104. Sun Dec 15 20:48:32 2019 removing 108525 relations and 94302 ideals in 14223 cliques
  105. Sun Dec 15 20:48:33 2019 commencing in-memory singleton removal
  106. Sun Dec 15 20:48:35 2019 begin with 44746129 relations and 44092157 unique ideals
  107. Sun Dec 15 20:48:48 2019 reduce to 44745983 relations and 43997709 ideals in 4 passes
  108. Sun Dec 15 20:48:48 2019 max relations containing the same ideal: 107
  109. Sun Dec 15 20:48:55 2019 relations with 0 large ideals: 16392
  110. Sun Dec 15 20:48:55 2019 relations with 1 large ideals: 7174
  111. Sun Dec 15 20:48:55 2019 relations with 2 large ideals: 105217
  112. Sun Dec 15 20:48:55 2019 relations with 3 large ideals: 770473
  113. Sun Dec 15 20:48:55 2019 relations with 4 large ideals: 3101990
  114. Sun Dec 15 20:48:55 2019 relations with 5 large ideals: 7520535
  115. Sun Dec 15 20:48:55 2019 relations with 6 large ideals: 11486950
  116. Sun Dec 15 20:48:55 2019 relations with 7+ large ideals: 21737252
  117. Sun Dec 15 20:48:55 2019 commencing 2-way merge
  118. Sun Dec 15 20:49:30 2019 reduce to 29726517 relation sets and 28978243 unique ideals
  119. Sun Dec 15 20:49:30 2019 commencing full merge
  120. Sun Dec 15 21:01:08 2019 memory use: 3700.4 MB
  121. Sun Dec 15 21:01:15 2019 found 13254456 cycles, need 13250443
  122. Sun Dec 15 21:01:15 2019 weight of 13250443 cycles is about 1590552039 (120.04/cycle)
  123. Sun Dec 15 21:01:15 2019 distribution of cycle lengths:
  124. Sun Dec 15 21:01:15 2019 1 relations: 560682
  125. Sun Dec 15 21:01:15 2019 2 relations: 819080
  126. Sun Dec 15 21:01:15 2019 3 relations: 965986
  127. Sun Dec 15 21:01:15 2019 4 relations: 994709
  128. Sun Dec 15 21:01:15 2019 5 relations: 1011819
  129. Sun Dec 15 21:01:15 2019 6 relations: 985932
  130. Sun Dec 15 21:01:15 2019 7 relations: 959290
  131. Sun Dec 15 21:01:15 2019 8 relations: 905216
  132. Sun Dec 15 21:01:15 2019 9 relations: 849173
  133. Sun Dec 15 21:01:15 2019 10+ relations: 5198556
  134. Sun Dec 15 21:01:15 2019 heaviest cycle: 28 relations
  135. Sun Dec 15 21:01:21 2019 commencing cycle optimization
  136. Sun Dec 15 21:01:51 2019 start with 117022054 relations
  137. Sun Dec 15 21:06:52 2019 pruned 5399520 relations
  138. Sun Dec 15 21:06:52 2019 memory use: 3067.0 MB
  139. Sun Dec 15 21:06:52 2019 distribution of cycle lengths:
  140. Sun Dec 15 21:06:52 2019 1 relations: 560682
  141. Sun Dec 15 21:06:52 2019 2 relations: 841210
  142. Sun Dec 15 21:06:52 2019 3 relations: 1009824
  143. Sun Dec 15 21:06:52 2019 4 relations: 1038573
  144. Sun Dec 15 21:06:52 2019 5 relations: 1062821
  145. Sun Dec 15 21:06:52 2019 6 relations: 1032697
  146. Sun Dec 15 21:06:52 2019 7 relations: 1006759
  147. Sun Dec 15 21:06:52 2019 8 relations: 945459
  148. Sun Dec 15 21:06:52 2019 9 relations: 884959
  149. Sun Dec 15 21:06:52 2019 10+ relations: 4867459
  150. Sun Dec 15 21:06:52 2019 heaviest cycle: 28 relations
  151. Sun Dec 15 21:07:33 2019 RelProcTime: 5772
  152. Sun Dec 15 21:07:33 2019
  153. Sun Dec 15 21:07:33 2019 commencing linear algebra
  154. Sun Dec 15 21:07:35 2019 read 13250443 cycles
  155. Sun Dec 15 21:08:04 2019 cycles contain 44319531 unique relations
  156. Sun Dec 15 21:16:09 2019 read 44319531 relations
  157. Sun Dec 15 21:17:43 2019 using 20 quadratic characters above 4294917295
  158. Sun Dec 15 21:20:15 2019 building initial matrix
  159. Sun Dec 15 21:28:30 2019 memory use: 5802.8 MB
  160. Sun Dec 15 21:31:08 2019 read 13250443 cycles
  161. Sun Dec 15 21:31:10 2019 matrix is 13250266 x 13250443 (6224.7 MB) with weight 1795828867 (135.53/col)
  162. Sun Dec 15 21:31:10 2019 sparse part has weight 1486015688 (112.15/col)
  163. Sun Dec 15 21:34:30 2019 filtering completed in 2 passes
  164. Sun Dec 15 21:34:32 2019 matrix is 13250194 x 13250371 (6224.7 MB) with weight 1795826637 (135.53/col)
  165. Sun Dec 15 21:34:32 2019 sparse part has weight 1486015192 (112.15/col)
  166. Sun Dec 15 21:37:32 2019 matrix starts at (0, 0)
  167. Sun Dec 15 21:37:33 2019 matrix is 13250194 x 13250371 (6224.7 MB) with weight 1795826637 (135.53/col)
  168. Sun Dec 15 21:37:33 2019 sparse part has weight 1486015192 (112.15/col)
  169. Sun Dec 15 21:37:34 2019 saving the first 48 matrix rows for later
  170. Sun Dec 15 21:37:35 2019 matrix includes 64 packed rows
  171. Sun Dec 15 21:37:37 2019 matrix is 13250146 x 13250371 (5980.0 MB) with weight 1544835113 (116.59/col)
  172. Sun Dec 15 21:37:37 2019 sparse part has weight 1435114753 (108.31/col)
  173. Sun Dec 15 21:37:37 2019 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  174. Sun Dec 15 21:38:52 2019 commencing Lanczos iteration (16 threads)
  175. Sun Dec 15 21:38:52 2019 memory use: 5100.2 MB
  176. Sun Dec 15 21:39:09 2019 linear algebra at 0.0%, ETA 38h52m
  177. Sun Dec 15 21:39:14 2019 checkpointing every 350000 dimensions
  178. Mon Dec 16 16:46:43 2019
  179. Mon Dec 16 16:46:43 2019
  180. Mon Dec 16 16:46:43 2019 Msieve v. 1.53 (SVN 988M)
  181. Mon Dec 16 16:46:43 2019 random seeds: d456b7cf 9340ccb9
  182. Mon Dec 16 16:46:43 2019 factoring 34903706636215867451971517927172154877053009463661911621781150226377483363148732331467045530596246770900677124070255332317641759382380500377723928018028497126450034488029387278528721185976061581730980558155520937 (212 digits)
  183. Mon Dec 16 16:46:43 2019 searching for 15-digit factors
  184. Mon Dec 16 16:46:44 2019 commencing number field sieve (212-digit input)
  185. Mon Dec 16 16:46:44 2019 R0: -1393796574908163946345982392040522594123776
  186. Mon Dec 16 16:46:44 2019 R1: 2503155504993241601315571986085849
  187. Mon Dec 16 16:46:44 2019 A0: 4
  188. Mon Dec 16 16:46:44 2019 A1: 0
  189. Mon Dec 16 16:46:44 2019 A2: 0
  190. Mon Dec 16 16:46:44 2019 A3: 6
  191. Mon Dec 16 16:46:44 2019 A4: 0
  192. Mon Dec 16 16:46:44 2019 A5: 0
  193. Mon Dec 16 16:46:44 2019 A6: 3
  194. Mon Dec 16 16:46:44 2019 skew 1.05, size 1.984e-12, alpha 1.048, combined = 1.918e-13 rroots = 0
  195. Mon Dec 16 16:46:44 2019
  196. Mon Dec 16 16:46:44 2019 commencing linear algebra
  197. Mon Dec 16 16:49:05 2019 matrix starts at (0, 0)
  198. Mon Dec 16 16:49:06 2019 matrix is 13250194 x 13250371 (6224.7 MB) with weight 1795826637 (135.53/col)
  199. Mon Dec 16 16:49:06 2019 sparse part has weight 1486015192 (112.15/col)
  200. Mon Dec 16 16:49:06 2019 saving the first 48 matrix rows for later
  201. Mon Dec 16 16:49:08 2019 matrix includes 64 packed rows
  202. Mon Dec 16 16:49:09 2019 matrix is 13250146 x 13250371 (5980.0 MB) with weight 1544835113 (116.59/col)
  203. Mon Dec 16 16:49:09 2019 sparse part has weight 1435114753 (108.31/col)
  204. Mon Dec 16 16:49:09 2019 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  205. Mon Dec 16 16:50:23 2019 commencing Lanczos iteration (16 threads)
  206. Mon Dec 16 16:50:23 2019 memory use: 5100.2 MB
  207. Mon Dec 16 16:50:35 2019 restarting at iteration 88558 (dim = 5600058)
  208. Mon Dec 16 16:50:50 2019 linear algebra at 42.3%, ETA 20h59m
  209. Mon Dec 16 16:50:54 2019 checkpointing every 380000 dimensions
  210. Tue Dec 17 13:35:00 2019 lanczos halted after 209537 iterations (dim = 13250144)
  211. Tue Dec 17 13:35:10 2019 recovered 38 nontrivial dependencies
  212. Tue Dec 17 13:35:15 2019 BLanczosTime: 74911
  213. Tue Dec 17 13:35:15 2019
  214. Tue Dec 17 13:35:15 2019 commencing square root phase
  215. Tue Dec 17 13:35:15 2019 reading relations for dependency 1
  216. Tue Dec 17 13:35:26 2019 read 6623631 cycles
  217. Tue Dec 17 13:35:39 2019 cycles contain 22157458 unique relations
  218. Tue Dec 17 13:43:45 2019 read 22157458 relations
  219. Tue Dec 17 13:45:15 2019 multiplying 22157458 relations
  220. Tue Dec 17 13:57:49 2019 multiply complete, coefficients have about 593.70 million bits
  221. Tue Dec 17 13:57:51 2019 initial square root is modulo 212081
  222. Tue Dec 17 14:10:26 2019 sqrtTime: 2111
  223. Tue Dec 17 14:10:26 2019 p71 factor: 22063190595010738589824048280818244702323097533926030018578115422194291
  224. Tue Dec 17 14:10:26 2019 p142 factor: 1581988175550131901937993051881378481779697012129061079841214934962740408236197189547685713727405664955292473565290954700526483390772987489907
  225. Tue Dec 17 14:10:26 2019 elapsed time 21:23:43
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