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Feb 21st, 2020
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  1. Wed Feb 12 21:34:30 2020
  2. Wed Feb 12 21:34:30 2020
  3. Wed Feb 12 21:34:30 2020 Msieve v. 1.53 (SVN unknown)
  4. Wed Feb 12 21:34:30 2020 random seeds: 8acc6610 9028ff8d
  5. Wed Feb 12 21:34:30 2020 factoring 1418077704856035010436423274408971386908174664162776492692015913362798904352457625814170697064175766804362523167261987482435567311002112469290065359905311333339467554156610483559435035244362051509578301 (202 digits)
  6. Wed Feb 12 21:34:31 2020 searching for 15-digit factors
  7. Wed Feb 12 21:34:32 2020 commencing number field sieve (202-digit input)
  8. Wed Feb 12 21:34:32 2020 R0: 256923577521058878088611477224235621321607
  9. Wed Feb 12 21:34:32 2020 R1: -1
  10. Wed Feb 12 21:34:32 2020 A0: -49
  11. Wed Feb 12 21:34:32 2020 A1: 0
  12. Wed Feb 12 21:34:32 2020 A2: 0
  13. Wed Feb 12 21:34:32 2020 A3: 0
  14. Wed Feb 12 21:34:32 2020 A4: 0
  15. Wed Feb 12 21:34:32 2020 A5: 0
  16. Wed Feb 12 21:34:32 2020 A6: 5
  17. Wed Feb 12 21:34:32 2020 skew 1.46, size 2.052e-12, alpha 1.463, combined = 2.007e-13 rroots = 2
  18. Wed Feb 12 21:34:32 2020
  19. Wed Feb 12 21:34:32 2020 commencing relation filtering
  20. Wed Feb 12 21:34:32 2020 setting target matrix density to 118.0
  21. Wed Feb 12 21:34:32 2020 estimated available RAM is 32721.3 MB
  22. Wed Feb 12 21:34:32 2020 commencing duplicate removal, pass 1
  23. Wed Feb 12 21:35:52 2020 error -9 reading relation 5988812
  24. Wed Feb 12 21:36:27 2020 error -15 reading relation 8530949
  25. Wed Feb 12 21:37:54 2020 error -9 reading relation 15150605
  26. Wed Feb 12 21:39:20 2020 error -1 reading relation 21621906
  27. Wed Feb 12 22:31:36 2020 error -15 reading relation 254709585
  28. Wed Feb 12 22:31:36 2020 error -9 reading relation 254714523
  29. Wed Feb 12 22:31:36 2020 error -9 reading relation 254714949
  30. Wed Feb 12 22:31:36 2020 error -15 reading relation 254721259
  31. Wed Feb 12 22:31:36 2020 error -15 reading relation 254721759
  32. Wed Feb 12 22:31:39 2020 skipped 90 relations with b > 2^32
  33. Wed Feb 12 22:31:39 2020 skipped 616 relations with composite factors
  34. Wed Feb 12 22:31:39 2020 found 55266952 hash collisions in 254900480 relations
  35. Wed Feb 12 22:32:07 2020 added 1218964 free relations
  36. Wed Feb 12 22:32:07 2020 commencing duplicate removal, pass 2
  37. Wed Feb 12 22:34:31 2020 found 56494821 duplicates and 199624623 unique relations
  38. Wed Feb 12 22:34:31 2020 memory use: 1449.5 MB
  39. Wed Feb 12 22:34:31 2020 reading ideals above 209911808
  40. Wed Feb 12 22:34:31 2020 commencing singleton removal, initial pass
  41. Wed Feb 12 23:06:54 2020 memory use: 3012.0 MB
  42. Wed Feb 12 23:06:55 2020 reading all ideals from disk
  43. Wed Feb 12 23:06:56 2020 memory use: 3365.8 MB
  44. Wed Feb 12 23:07:05 2020 commencing in-memory singleton removal
  45. Wed Feb 12 23:07:12 2020 begin with 199624623 relations and 158837750 unique ideals
  46. Wed Feb 12 23:08:36 2020 reduce to 137869951 relations and 91484113 ideals in 13 passes
  47. Wed Feb 12 23:08:36 2020 max relations containing the same ideal: 35
  48. Wed Feb 12 23:08:48 2020 reading ideals above 720000
  49. Wed Feb 12 23:08:48 2020 commencing singleton removal, initial pass
  50. Wed Feb 12 23:36:04 2020 memory use: 3012.0 MB
  51. Wed Feb 12 23:36:04 2020 reading all ideals from disk
  52. Wed Feb 12 23:36:12 2020 memory use: 5504.5 MB
  53. Wed Feb 12 23:36:30 2020 keeping 113984841 ideals with weight <= 200, target excess is 687265
  54. Wed Feb 12 23:36:49 2020 commencing in-memory singleton removal
  55. Wed Feb 12 23:37:03 2020 begin with 137869951 relations and 113984841 unique ideals
  56. Wed Feb 12 23:38:45 2020 reduce to 137860013 relations and 113974903 ideals in 7 passes
  57. Wed Feb 12 23:38:45 2020 max relations containing the same ideal: 200
  58. Wed Feb 12 23:39:55 2020 removing 10996021 relations and 8996021 ideals in 2000000 cliques
  59. Wed Feb 12 23:40:00 2020 commencing in-memory singleton removal
  60. Wed Feb 12 23:40:13 2020 begin with 126863992 relations and 113974903 unique ideals
  61. Wed Feb 12 23:42:14 2020 reduce to 126137924 relations and 104238970 ideals in 9 passes
  62. Wed Feb 12 23:42:14 2020 max relations containing the same ideal: 197
  63. Wed Feb 12 23:43:19 2020 removing 8456976 relations and 6456976 ideals in 2000000 cliques
  64. Wed Feb 12 23:43:22 2020 commencing in-memory singleton removal
  65. Wed Feb 12 23:43:34 2020 begin with 117680948 relations and 104238970 unique ideals
  66. Wed Feb 12 23:45:13 2020 reduce to 117199497 relations and 97292488 ideals in 8 passes
  67. Wed Feb 12 23:45:13 2020 max relations containing the same ideal: 189
  68. Wed Feb 12 23:46:13 2020 removing 7698388 relations and 5698388 ideals in 2000000 cliques
  69. Wed Feb 12 23:46:16 2020 commencing in-memory singleton removal
  70. Wed Feb 12 23:46:26 2020 begin with 109501109 relations and 97292488 unique ideals
  71. Wed Feb 12 23:47:58 2020 reduce to 109074704 relations and 91160617 ideals in 8 passes
  72. Wed Feb 12 23:47:58 2020 max relations containing the same ideal: 183
  73. Wed Feb 12 23:48:54 2020 removing 7319251 relations and 5319251 ideals in 2000000 cliques
  74. Wed Feb 12 23:48:57 2020 commencing in-memory singleton removal
  75. Wed Feb 12 23:49:07 2020 begin with 101755453 relations and 91160617 unique ideals
  76. Wed Feb 12 23:50:11 2020 reduce to 101351506 relations and 85430479 ideals in 6 passes
  77. Wed Feb 12 23:50:11 2020 max relations containing the same ideal: 174
  78. Wed Feb 12 23:51:03 2020 removing 7083960 relations and 5083960 ideals in 2000000 cliques
  79. Wed Feb 12 23:51:06 2020 commencing in-memory singleton removal
  80. Wed Feb 12 23:51:15 2020 begin with 94267546 relations and 85430479 unique ideals
  81. Wed Feb 12 23:52:24 2020 reduce to 93869322 relations and 79941198 ideals in 7 passes
  82. Wed Feb 12 23:52:24 2020 max relations containing the same ideal: 166
  83. Wed Feb 12 23:53:13 2020 removing 6933533 relations and 4933533 ideals in 2000000 cliques
  84. Wed Feb 12 23:53:16 2020 commencing in-memory singleton removal
  85. Wed Feb 12 23:53:25 2020 begin with 86935789 relations and 79941198 unique ideals
  86. Wed Feb 12 23:54:27 2020 reduce to 86535250 relations and 74599388 ideals in 7 passes
  87. Wed Feb 12 23:54:27 2020 max relations containing the same ideal: 158
  88. Wed Feb 12 23:55:12 2020 removing 6833662 relations and 4833662 ideals in 2000000 cliques
  89. Wed Feb 12 23:55:15 2020 commencing in-memory singleton removal
  90. Wed Feb 12 23:55:23 2020 begin with 79701588 relations and 74599388 unique ideals
  91. Wed Feb 12 23:56:19 2020 reduce to 79287610 relations and 69343299 ideals in 7 passes
  92. Wed Feb 12 23:56:19 2020 max relations containing the same ideal: 149
  93. Wed Feb 12 23:57:02 2020 removing 6771741 relations and 4771741 ideals in 2000000 cliques
  94. Wed Feb 12 23:57:04 2020 commencing in-memory singleton removal
  95. Wed Feb 12 23:57:11 2020 begin with 72515869 relations and 69343299 unique ideals
  96. Wed Feb 12 23:58:03 2020 reduce to 72081444 relations and 64127542 ideals in 7 passes
  97. Wed Feb 12 23:58:03 2020 max relations containing the same ideal: 141
  98. Wed Feb 12 23:58:41 2020 removing 6737430 relations and 4737430 ideals in 2000000 cliques
  99. Wed Feb 12 23:58:43 2020 commencing in-memory singleton removal
  100. Wed Feb 12 23:58:50 2020 begin with 65344014 relations and 64127542 unique ideals
  101. Wed Feb 12 23:59:35 2020 reduce to 64874699 relations and 58909237 ideals in 7 passes
  102. Wed Feb 12 23:59:35 2020 max relations containing the same ideal: 131
  103. Thu Feb 13 00:00:10 2020 removing 6729914 relations and 4729914 ideals in 2000000 cliques
  104. Thu Feb 13 00:00:12 2020 commencing in-memory singleton removal
  105. Thu Feb 13 00:00:18 2020 begin with 58144785 relations and 58909237 unique ideals
  106. Thu Feb 13 00:00:58 2020 reduce to 57627765 relations and 53648547 ideals in 7 passes
  107. Thu Feb 13 00:00:58 2020 max relations containing the same ideal: 120
  108. Thu Feb 13 00:01:29 2020 removing 6749773 relations and 4749773 ideals in 2000000 cliques
  109. Thu Feb 13 00:01:32 2020 commencing in-memory singleton removal
  110. Thu Feb 13 00:01:36 2020 begin with 50877992 relations and 53648547 unique ideals
  111. Thu Feb 13 00:02:16 2020 reduce to 50286327 relations and 48289581 ideals in 8 passes
  112. Thu Feb 13 00:02:16 2020 max relations containing the same ideal: 112
  113. Thu Feb 13 00:02:45 2020 removing 4518162 relations and 3318644 ideals in 1199518 cliques
  114. Thu Feb 13 00:02:46 2020 commencing in-memory singleton removal
  115. Thu Feb 13 00:02:50 2020 begin with 45768165 relations and 48289581 unique ideals
  116. Thu Feb 13 00:03:34 2020 reduce to 45463682 relations and 44660031 ideals in 10 passes
  117. Thu Feb 13 00:03:34 2020 max relations containing the same ideal: 106
  118. Thu Feb 13 00:04:07 2020 relations with 0 large ideals: 26255
  119. Thu Feb 13 00:04:07 2020 relations with 1 large ideals: 7544
  120. Thu Feb 13 00:04:07 2020 relations with 2 large ideals: 115574
  121. Thu Feb 13 00:04:07 2020 relations with 3 large ideals: 834260
  122. Thu Feb 13 00:04:07 2020 relations with 4 large ideals: 3297654
  123. Thu Feb 13 00:04:07 2020 relations with 5 large ideals: 7840497
  124. Thu Feb 13 00:04:07 2020 relations with 6 large ideals: 11725744
  125. Thu Feb 13 00:04:07 2020 relations with 7+ large ideals: 21616154
  126. Thu Feb 13 00:04:07 2020 commencing 2-way merge
  127. Thu Feb 13 00:04:40 2020 reduce to 30524594 relation sets and 29720943 unique ideals
  128. Thu Feb 13 00:04:40 2020 commencing full merge
  129. Thu Feb 13 00:19:39 2020 memory use: 3843.9 MB
  130. Thu Feb 13 00:19:43 2020 found 13594493 cycles, need 13585143
  131. Thu Feb 13 00:19:44 2020 weight of 13585143 cycles is about 1603202319 (118.01/cycle)
  132. Thu Feb 13 00:19:44 2020 distribution of cycle lengths:
  133. Thu Feb 13 00:19:44 2020 1 relations: 618718
  134. Thu Feb 13 00:19:44 2020 2 relations: 847915
  135. Thu Feb 13 00:19:44 2020 3 relations: 977851
  136. Thu Feb 13 00:19:44 2020 4 relations: 1000052
  137. Thu Feb 13 00:19:44 2020 5 relations: 1011039
  138. Thu Feb 13 00:19:44 2020 6 relations: 987135
  139. Thu Feb 13 00:19:44 2020 7 relations: 967156
  140. Thu Feb 13 00:19:44 2020 8 relations: 916786
  141. Thu Feb 13 00:19:44 2020 9 relations: 862922
  142. Thu Feb 13 00:19:44 2020 10+ relations: 5395569
  143. Thu Feb 13 00:19:44 2020 heaviest cycle: 28 relations
  144. Thu Feb 13 00:19:47 2020 commencing cycle optimization
  145. Thu Feb 13 00:20:14 2020 start with 120400489 relations
  146. Thu Feb 13 00:27:03 2020 pruned 5672666 relations
  147. Thu Feb 13 00:27:03 2020 memory use: 3128.5 MB
  148. Thu Feb 13 00:27:03 2020 distribution of cycle lengths:
  149. Thu Feb 13 00:27:03 2020 1 relations: 618718
  150. Thu Feb 13 00:27:03 2020 2 relations: 869429
  151. Thu Feb 13 00:27:03 2020 3 relations: 1020846
  152. Thu Feb 13 00:27:03 2020 4 relations: 1042564
  153. Thu Feb 13 00:27:03 2020 5 relations: 1062426
  154. Thu Feb 13 00:27:03 2020 6 relations: 1035828
  155. Thu Feb 13 00:27:03 2020 7 relations: 1017378
  156. Thu Feb 13 00:27:03 2020 8 relations: 960920
  157. Thu Feb 13 00:27:03 2020 9 relations: 901354
  158. Thu Feb 13 00:27:03 2020 10+ relations: 5055680
  159. Thu Feb 13 00:27:03 2020 heaviest cycle: 28 relations
  160. Thu Feb 13 00:27:43 2020 RelProcTime: 10391
  161. Thu Feb 13 00:27:43 2020
  162. Thu Feb 13 00:27:43 2020 commencing linear algebra
  163. Thu Feb 13 00:27:45 2020 read 13585143 cycles
  164. Thu Feb 13 00:28:20 2020 cycles contain 44986594 unique relations
  165. Thu Feb 13 00:35:46 2020 read 44986594 relations
  166. Thu Feb 13 00:37:45 2020 using 20 quadratic characters above 4294917295
  167. Thu Feb 13 00:40:51 2020 building initial matrix
  168. Thu Feb 13 00:51:03 2020 memory use: 5654.8 MB
  169. Thu Feb 13 00:51:14 2020 read 13585143 cycles
  170. Thu Feb 13 00:51:18 2020 matrix is 13584966 x 13585143 (6269.0 MB) with weight 1787548745 (131.58/col)
  171. Thu Feb 13 00:51:18 2020 sparse part has weight 1493939196 (109.97/col)
  172. Thu Feb 13 00:54:57 2020 filtering completed in 2 passes
  173. Thu Feb 13 00:55:02 2020 matrix is 13584861 x 13585038 (6269.0 MB) with weight 1787545649 (131.58/col)
  174. Thu Feb 13 00:55:02 2020 sparse part has weight 1493938430 (109.97/col)
  175. Thu Feb 13 00:56:07 2020 matrix starts at (0, 0)
  176. Thu Feb 13 00:56:11 2020 matrix is 13584861 x 13585038 (6269.0 MB) with weight 1787545649 (131.58/col)
  177. Thu Feb 13 00:56:11 2020 sparse part has weight 1493938430 (109.97/col)
  178. Thu Feb 13 00:56:11 2020 saving the first 48 matrix rows for later
  179. Thu Feb 13 00:56:15 2020 matrix includes 64 packed rows
  180. Thu Feb 13 00:56:18 2020 matrix is 13584813 x 13585038 (6016.0 MB) with weight 1542106573 (113.52/col)
  181. Thu Feb 13 00:56:18 2020 sparse part has weight 1441210728 (106.09/col)
  182. Thu Feb 13 00:56:18 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  183. Thu Feb 13 00:57:55 2020 commencing Lanczos iteration (6 threads)
  184. Thu Feb 13 00:57:55 2020 memory use: 5157.3 MB
  185. Thu Feb 13 00:59:13 2020 linear algebra at 0.0%, ETA 186h25m
  186. Thu Feb 13 00:59:37 2020 checkpointing every 80000 dimensions
  187. Mon Feb 17 17:18:07 2020
  188. Mon Feb 17 17:18:07 2020
  189. Mon Feb 17 17:18:07 2020 Msieve v. 1.53 (SVN unknown)
  190. Mon Feb 17 17:18:07 2020 random seeds: 07d2f5e0 daaf45cb
  191. Mon Feb 17 17:18:07 2020 factoring 1418077704856035010436423274408971386908174664162776492692015913362798904352457625814170697064175766804362523167261987482435567311002112469290065359905311333339467554156610483559435035244362051509578301 (202 digits)
  192. Mon Feb 17 17:18:08 2020 searching for 15-digit factors
  193. Mon Feb 17 17:18:09 2020 commencing number field sieve (202-digit input)
  194. Mon Feb 17 17:18:09 2020 R0: 256923577521058878088611477224235621321607
  195. Mon Feb 17 17:18:09 2020 R1: -1
  196. Mon Feb 17 17:18:09 2020 A0: -49
  197. Mon Feb 17 17:18:09 2020 A1: 0
  198. Mon Feb 17 17:18:09 2020 A2: 0
  199. Mon Feb 17 17:18:09 2020 A3: 0
  200. Mon Feb 17 17:18:09 2020 A4: 0
  201. Mon Feb 17 17:18:09 2020 A5: 0
  202. Mon Feb 17 17:18:09 2020 A6: 5
  203. Mon Feb 17 17:18:09 2020 skew 1.46, size 2.052e-12, alpha 1.463, combined = 2.007e-13 rroots = 2
  204. Mon Feb 17 17:18:09 2020
  205. Mon Feb 17 17:18:09 2020 commencing linear algebra
  206. Mon Feb 17 17:19:05 2020 matrix starts at (0, 0)
  207. Mon Feb 17 17:19:11 2020 matrix is 13584861 x 13585038 (6269.0 MB) with weight 1787545649 (131.58/col)
  208. Mon Feb 17 17:19:11 2020 sparse part has weight 1493938430 (109.97/col)
  209. Mon Feb 17 17:19:11 2020 saving the first 48 matrix rows for later
  210. Mon Feb 17 17:19:18 2020 matrix includes 64 packed rows
  211. Mon Feb 17 17:19:21 2020 matrix is 13584813 x 13585038 (6016.0 MB) with weight 1542106573 (113.52/col)
  212. Mon Feb 17 17:19:21 2020 sparse part has weight 1441210728 (106.09/col)
  213. Mon Feb 17 17:19:21 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  214. Mon Feb 17 17:20:57 2020 commencing Lanczos iteration (6 threads)
  215. Mon Feb 17 17:20:57 2020 memory use: 5157.3 MB
  216. Mon Feb 17 17:21:02 2020 restarting at iteration 122717 (dim = 7760059)
  217. Mon Feb 17 17:22:14 2020 linear algebra at 57.1%, ETA 76h43m
  218. Mon Feb 17 17:22:35 2020 checkpointing every 80000 dimensions
  219. Thu Feb 20 22:38:05 2020 lanczos halted after 214833 iterations (dim = 13584813)
  220. Thu Feb 20 22:38:41 2020 recovered 41 nontrivial dependencies
  221. Thu Feb 20 22:38:52 2020 BLanczosTime: 278443
  222. Thu Feb 20 22:38:52 2020
  223. Thu Feb 20 22:38:52 2020 commencing square root phase
  224. Thu Feb 20 22:38:52 2020 reading relations for dependency 1
  225. Thu Feb 20 22:38:56 2020 read 6791452 cycles
  226. Thu Feb 20 22:39:12 2020 cycles contain 22492484 unique relations
  227. Thu Feb 20 22:43:49 2020 read 22492484 relations
  228. Thu Feb 20 22:45:45 2020 multiplying 22492484 relations
  229. Thu Feb 20 23:04:37 2020 multiply complete, coefficients have about 623.09 million bits
  230. Thu Feb 20 23:04:42 2020 initial square root is modulo 389167
  231. Thu Feb 20 23:25:16 2020 sqrtTime: 2784
  232. Thu Feb 20 23:25:16 2020 p99 factor: 494833676788462498728409019255862750666117901928655542902962124558756892185490027119310964459984149
  233. Thu Feb 20 23:25:16 2020 p103 factor: 2865766360243609825106019500756542768286372394374159021670211420356895510374579475375004057273793895049
  234. Thu Feb 20 23:25:16 2020 elapsed time 78:07:09
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