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5p3_427

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Jan 26th, 2021
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  1. Wed Jan 20 07:37:59 2021
  2. Wed Jan 20 07:37:59 2021
  3. Wed Jan 20 07:37:59 2021 Msieve v. 1.52 (SVN unknown)
  4. Wed Jan 20 07:37:59 2021 random seeds: a767b764 dd734f8f
  5. Wed Jan 20 07:37:59 2021 factoring 96988381489748015872682567198262322001169087919104017448666228335076786722342537672765948906888942034224001884977696843385606704619811258278279953756959079737061858616438846580361695238481976676221156769746243537766426486993923112524573024002208017 (248 digits)
  6. Wed Jan 20 07:38:01 2021 no P-1/P+1/ECM available, skipping
  7. Wed Jan 20 07:38:01 2021 commencing number field sieve (248-digit input)
  8. Wed Jan 20 07:38:01 2021 R0: 4336808689942017736029811203479766845703125
  9. Wed Jan 20 07:38:01 2021 R1: -127173474825648610542883299603
  10. Wed Jan 20 07:38:01 2021 A0: 1
  11. Wed Jan 20 07:38:01 2021 A1: -1
  12. Wed Jan 20 07:38:01 2021 A2: 1
  13. Wed Jan 20 07:38:01 2021 A3: -1
  14. Wed Jan 20 07:38:01 2021 A4: 1
  15. Wed Jan 20 07:38:01 2021 A5: -1
  16. Wed Jan 20 07:38:01 2021 A6: 1
  17. Wed Jan 20 07:38:01 2021 skew 1.00, size 1.279e-012, alpha 2.428, combined = 1.390e-013 rroots = 0
  18. Wed Jan 20 07:38:01 2021
  19. Wed Jan 20 07:38:01 2021 commencing relation filtering
  20. Wed Jan 20 07:38:01 2021 setting target matrix density to 116.0
  21. Wed Jan 20 07:38:01 2021 estimated available RAM is 16316.6 MB
  22. Wed Jan 20 07:38:01 2021 commencing duplicate removal, pass 1
  23. Wed Jan 20 07:38:22 2021 error -15 reading relation 2229375
  24. Wed Jan 20 07:38:40 2021 error -15 reading relation 4104658
  25. Wed Jan 20 07:39:26 2021 error -15 reading relation 9066010
  26. Wed Jan 20 07:39:34 2021 error -9 reading relation 9924521
  27. Wed Jan 20 07:40:02 2021 error -9 reading relation 12935285
  28. Wed Jan 20 07:40:11 2021 error -15 reading relation 13901447
  29. Wed Jan 20 07:40:37 2021 error -15 reading relation 16662961
  30. Wed Jan 20 08:19:35 2021 error -1 reading relation 269722297
  31. Wed Jan 20 08:19:37 2021 error -15 reading relation 269876971
  32. Wed Jan 20 08:19:39 2021 error -1 reading relation 270124120
  33. Wed Jan 20 08:19:51 2021 error -15 reading relation 271418036
  34. Wed Jan 20 08:19:51 2021 error -15 reading relation 271441105
  35. Wed Jan 20 08:19:53 2021 error -9 reading relation 271675816
  36. Wed Jan 20 08:19:53 2021 skipped 601 relations with b > 2^32
  37. Wed Jan 20 08:19:53 2021 found 55925060 hash collisions in 271677437 relations
  38. Wed Jan 20 08:20:07 2021 added 2438534 free relations
  39. Wed Jan 20 08:20:07 2021 commencing duplicate removal, pass 2
  40. Wed Jan 20 08:28:00 2021 found 54795001 duplicates and 219320970 unique relations
  41. Wed Jan 20 08:28:00 2021 memory use: 1449.5 MB
  42. Wed Jan 20 08:28:00 2021 reading ideals above 159973376
  43. Wed Jan 20 08:28:00 2021 commencing singleton removal, initial pass
  44. Wed Jan 20 09:06:06 2021 memory use: 5512.0 MB
  45. Wed Jan 20 09:06:06 2021 reading all ideals from disk
  46. Wed Jan 20 09:06:54 2021 memory use: 3720.7 MB
  47. Wed Jan 20 09:07:01 2021 commencing in-memory singleton removal
  48. Wed Jan 20 09:07:08 2021 begin with 219320970 relations and 164990436 unique ideals
  49. Wed Jan 20 09:08:27 2021 reduce to 160959876 relations and 101956108 ideals in 12 passes
  50. Wed Jan 20 09:08:27 2021 max relations containing the same ideal: 41
  51. Wed Jan 20 09:08:38 2021 reading ideals above 720000
  52. Wed Jan 20 09:08:38 2021 commencing singleton removal, initial pass
  53. Wed Jan 20 09:43:06 2021 memory use: 3012.0 MB
  54. Wed Jan 20 09:43:06 2021 reading all ideals from disk
  55. Wed Jan 20 09:44:37 2021 memory use: 6549.2 MB
  56. Wed Jan 20 09:44:54 2021 keeping 119024904 ideals with weight <= 200, target excess is 876585
  57. Wed Jan 20 09:45:13 2021 commencing in-memory singleton removal
  58. Wed Jan 20 09:45:26 2021 begin with 160959876 relations and 119024904 unique ideals
  59. Wed Jan 20 09:46:20 2021 reduce to 160959719 relations and 119024747 ideals in 4 passes
  60. Wed Jan 20 09:46:20 2021 max relations containing the same ideal: 200
  61. Wed Jan 20 09:47:25 2021 removing 9491332 relations and 7491332 ideals in 2000000 cliques
  62. Wed Jan 20 09:47:29 2021 commencing in-memory singleton removal
  63. Wed Jan 20 09:47:41 2021 begin with 151468387 relations and 119024747 unique ideals
  64. Wed Jan 20 09:49:12 2021 reduce to 151049638 relations and 111107969 ideals in 7 passes
  65. Wed Jan 20 09:49:12 2021 max relations containing the same ideal: 198
  66. Wed Jan 20 09:50:13 2021 removing 7287090 relations and 5287090 ideals in 2000000 cliques
  67. Wed Jan 20 09:50:16 2021 commencing in-memory singleton removal
  68. Wed Jan 20 09:50:27 2021 begin with 143762548 relations and 111107969 unique ideals
  69. Wed Jan 20 09:51:54 2021 reduce to 143478537 relations and 105532900 ideals in 7 passes
  70. Wed Jan 20 09:51:54 2021 max relations containing the same ideal: 195
  71. Wed Jan 20 09:52:53 2021 removing 6651217 relations and 4651217 ideals in 2000000 cliques
  72. Wed Jan 20 09:52:55 2021 commencing in-memory singleton removal
  73. Wed Jan 20 09:53:06 2021 begin with 136827320 relations and 105532900 unique ideals
  74. Wed Jan 20 09:54:28 2021 reduce to 136581071 relations and 100632139 ideals in 7 passes
  75. Wed Jan 20 09:54:28 2021 max relations containing the same ideal: 188
  76. Wed Jan 20 09:55:24 2021 removing 6322606 relations and 4322606 ideals in 2000000 cliques
  77. Wed Jan 20 09:55:26 2021 commencing in-memory singleton removal
  78. Wed Jan 20 09:55:36 2021 begin with 130258465 relations and 100632139 unique ideals
  79. Wed Jan 20 09:56:43 2021 reduce to 130034162 relations and 96082092 ideals in 6 passes
  80. Wed Jan 20 09:56:43 2021 max relations containing the same ideal: 184
  81. Wed Jan 20 09:57:36 2021 removing 6109441 relations and 4109441 ideals in 2000000 cliques
  82. Wed Jan 20 09:57:39 2021 commencing in-memory singleton removal
  83. Wed Jan 20 09:57:48 2021 begin with 123924721 relations and 96082092 unique ideals
  84. Wed Jan 20 09:58:52 2021 reduce to 123711177 relations and 91755980 ideals in 6 passes
  85. Wed Jan 20 09:58:52 2021 max relations containing the same ideal: 179
  86. Wed Jan 20 09:59:42 2021 removing 5963559 relations and 3963559 ideals in 2000000 cliques
  87. Wed Jan 20 09:59:45 2021 commencing in-memory singleton removal
  88. Wed Jan 20 09:59:54 2021 begin with 117747618 relations and 91755980 unique ideals
  89. Wed Jan 20 10:00:54 2021 reduce to 117541232 relations and 87583003 ideals in 6 passes
  90. Wed Jan 20 10:00:54 2021 max relations containing the same ideal: 173
  91. Wed Jan 20 10:01:42 2021 removing 5852921 relations and 3852921 ideals in 2000000 cliques
  92. Wed Jan 20 10:01:45 2021 commencing in-memory singleton removal
  93. Wed Jan 20 10:01:53 2021 begin with 111688311 relations and 87583003 unique ideals
  94. Wed Jan 20 10:02:49 2021 reduce to 111485000 relations and 83523584 ideals in 6 passes
  95. Wed Jan 20 10:02:49 2021 max relations containing the same ideal: 168
  96. Wed Jan 20 10:03:36 2021 removing 5767500 relations and 3767500 ideals in 2000000 cliques
  97. Wed Jan 20 10:03:38 2021 commencing in-memory singleton removal
  98. Wed Jan 20 10:03:46 2021 begin with 105717500 relations and 83523584 unique ideals
  99. Wed Jan 20 10:04:39 2021 reduce to 105514691 relations and 79549945 ideals in 6 passes
  100. Wed Jan 20 10:04:39 2021 max relations containing the same ideal: 162
  101. Wed Jan 20 10:05:23 2021 removing 5701978 relations and 3701978 ideals in 2000000 cliques
  102. Wed Jan 20 10:05:25 2021 commencing in-memory singleton removal
  103. Wed Jan 20 10:05:33 2021 begin with 99812713 relations and 79549945 unique ideals
  104. Wed Jan 20 10:06:22 2021 reduce to 99607423 relations and 75639140 ideals in 6 passes
  105. Wed Jan 20 10:06:22 2021 max relations containing the same ideal: 156
  106. Wed Jan 20 10:07:04 2021 removing 5649094 relations and 3649094 ideals in 2000000 cliques
  107. Wed Jan 20 10:07:06 2021 commencing in-memory singleton removal
  108. Wed Jan 20 10:07:13 2021 begin with 93958329 relations and 75639140 unique ideals
  109. Wed Jan 20 10:08:00 2021 reduce to 93749447 relations and 71777321 ideals in 6 passes
  110. Wed Jan 20 10:08:00 2021 max relations containing the same ideal: 153
  111. Wed Jan 20 10:08:39 2021 removing 5611782 relations and 3611782 ideals in 2000000 cliques
  112. Wed Jan 20 10:08:41 2021 commencing in-memory singleton removal
  113. Wed Jan 20 10:08:48 2021 begin with 88137665 relations and 71777321 unique ideals
  114. Wed Jan 20 10:09:31 2021 reduce to 87922501 relations and 67946182 ideals in 6 passes
  115. Wed Jan 20 10:09:31 2021 max relations containing the same ideal: 150
  116. Wed Jan 20 10:10:08 2021 removing 5577221 relations and 3577221 ideals in 2000000 cliques
  117. Wed Jan 20 10:10:10 2021 commencing in-memory singleton removal
  118. Wed Jan 20 10:10:16 2021 begin with 82345280 relations and 67946182 unique ideals
  119. Wed Jan 20 10:10:57 2021 reduce to 82123537 relations and 64142702 ideals in 6 passes
  120. Wed Jan 20 10:10:57 2021 max relations containing the same ideal: 143
  121. Wed Jan 20 10:11:32 2021 removing 5560722 relations and 3560722 ideals in 2000000 cliques
  122. Wed Jan 20 10:11:34 2021 commencing in-memory singleton removal
  123. Wed Jan 20 10:11:39 2021 begin with 76562815 relations and 64142702 unique ideals
  124. Wed Jan 20 10:12:17 2021 reduce to 76329517 relations and 60343607 ideals in 6 passes
  125. Wed Jan 20 10:12:17 2021 max relations containing the same ideal: 132
  126. Wed Jan 20 10:12:49 2021 removing 5548556 relations and 3548556 ideals in 2000000 cliques
  127. Wed Jan 20 10:12:51 2021 commencing in-memory singleton removal
  128. Wed Jan 20 10:12:56 2021 begin with 70780961 relations and 60343607 unique ideals
  129. Wed Jan 20 10:13:30 2021 reduce to 70534770 relations and 56543141 ideals in 6 passes
  130. Wed Jan 20 10:13:30 2021 max relations containing the same ideal: 123
  131. Wed Jan 20 10:14:00 2021 removing 5543457 relations and 3543457 ideals in 2000000 cliques
  132. Wed Jan 20 10:14:02 2021 commencing in-memory singleton removal
  133. Wed Jan 20 10:14:07 2021 begin with 64991313 relations and 56543141 unique ideals
  134. Wed Jan 20 10:14:38 2021 reduce to 64728739 relations and 52730536 ideals in 6 passes
  135. Wed Jan 20 10:14:38 2021 max relations containing the same ideal: 115
  136. Wed Jan 20 10:15:06 2021 removing 5546223 relations and 3546223 ideals in 2000000 cliques
  137. Wed Jan 20 10:15:07 2021 commencing in-memory singleton removal
  138. Wed Jan 20 10:15:12 2021 begin with 59182516 relations and 52730536 unique ideals
  139. Wed Jan 20 10:15:40 2021 reduce to 58900005 relations and 48894330 ideals in 6 passes
  140. Wed Jan 20 10:15:40 2021 max relations containing the same ideal: 106
  141. Wed Jan 20 10:16:05 2021 removing 5557751 relations and 3557751 ideals in 2000000 cliques
  142. Wed Jan 20 10:16:07 2021 commencing in-memory singleton removal
  143. Wed Jan 20 10:16:11 2021 begin with 53342254 relations and 48894330 unique ideals
  144. Wed Jan 20 10:16:36 2021 reduce to 53032095 relations and 45017577 ideals in 6 passes
  145. Wed Jan 20 10:16:36 2021 max relations containing the same ideal: 103
  146. Wed Jan 20 10:16:59 2021 removing 5574784 relations and 3574784 ideals in 2000000 cliques
  147. Wed Jan 20 10:17:00 2021 commencing in-memory singleton removal
  148. Wed Jan 20 10:17:04 2021 begin with 47457311 relations and 45017577 unique ideals
  149. Wed Jan 20 10:17:29 2021 reduce to 47112550 relations and 41087148 ideals in 7 passes
  150. Wed Jan 20 10:17:29 2021 max relations containing the same ideal: 95
  151. Wed Jan 20 10:17:50 2021 removing 5603638 relations and 3603638 ideals in 2000000 cliques
  152. Wed Jan 20 10:17:52 2021 commencing in-memory singleton removal
  153. Wed Jan 20 10:17:54 2021 begin with 41508912 relations and 41087148 unique ideals
  154. Wed Jan 20 10:18:17 2021 reduce to 41109886 relations and 37070327 ideals in 7 passes
  155. Wed Jan 20 10:18:17 2021 max relations containing the same ideal: 85
  156. Wed Jan 20 10:18:35 2021 removing 5655487 relations and 3655487 ideals in 2000000 cliques
  157. Wed Jan 20 10:18:36 2021 commencing in-memory singleton removal
  158. Wed Jan 20 10:18:39 2021 begin with 35454399 relations and 37070327 unique ideals
  159. Wed Jan 20 10:19:00 2021 reduce to 34973921 relations and 32915090 ideals in 8 passes
  160. Wed Jan 20 10:19:00 2021 max relations containing the same ideal: 77
  161. Wed Jan 20 10:19:16 2021 removing 3317240 relations and 2275248 ideals in 1041992 cliques
  162. Wed Jan 20 10:19:17 2021 commencing in-memory singleton removal
  163. Wed Jan 20 10:19:19 2021 begin with 31656681 relations and 32915090 unique ideals
  164. Wed Jan 20 10:19:35 2021 reduce to 31421505 relations and 30398438 ideals in 7 passes
  165. Wed Jan 20 10:19:35 2021 max relations containing the same ideal: 71
  166. Wed Jan 20 10:19:53 2021 relations with 0 large ideals: 67198
  167. Wed Jan 20 10:19:53 2021 relations with 1 large ideals: 14853
  168. Wed Jan 20 10:19:53 2021 relations with 2 large ideals: 171328
  169. Wed Jan 20 10:19:53 2021 relations with 3 large ideals: 1043193
  170. Wed Jan 20 10:19:53 2021 relations with 4 large ideals: 3407456
  171. Wed Jan 20 10:19:53 2021 relations with 5 large ideals: 6646528
  172. Wed Jan 20 10:19:53 2021 relations with 6 large ideals: 8150691
  173. Wed Jan 20 10:19:53 2021 relations with 7+ large ideals: 11920258
  174. Wed Jan 20 10:19:53 2021 commencing 2-way merge
  175. Wed Jan 20 10:20:12 2021 reduce to 21722280 relation sets and 20699213 unique ideals
  176. Wed Jan 20 10:20:12 2021 commencing full merge
  177. Wed Jan 20 10:29:37 2021 memory use: 2864.1 MB
  178. Wed Jan 20 10:29:40 2021 found 10032645 cycles, need 9943413
  179. Wed Jan 20 10:29:40 2021 weight of 9943413 cycles is about 1153617555 (116.02/cycle)
  180. Wed Jan 20 10:29:40 2021 distribution of cycle lengths:
  181. Wed Jan 20 10:29:40 2021 1 relations: 403587
  182. Wed Jan 20 10:29:40 2021 2 relations: 546861
  183. Wed Jan 20 10:29:40 2021 3 relations: 675434
  184. Wed Jan 20 10:29:40 2021 4 relations: 735319
  185. Wed Jan 20 10:29:40 2021 5 relations: 780894
  186. Wed Jan 20 10:29:40 2021 6 relations: 792783
  187. Wed Jan 20 10:29:40 2021 7 relations: 787422
  188. Wed Jan 20 10:29:40 2021 8 relations: 749341
  189. Wed Jan 20 10:29:40 2021 9 relations: 698228
  190. Wed Jan 20 10:29:40 2021 10+ relations: 3773544
  191. Wed Jan 20 10:29:40 2021 heaviest cycle: 28 relations
  192. Wed Jan 20 10:29:42 2021 commencing cycle optimization
  193. Wed Jan 20 10:30:00 2021 start with 85253550 relations
  194. Wed Jan 20 10:33:59 2021 pruned 4396153 relations
  195. Wed Jan 20 10:33:59 2021 memory use: 2185.5 MB
  196. Wed Jan 20 10:33:59 2021 distribution of cycle lengths:
  197. Wed Jan 20 10:33:59 2021 1 relations: 403587
  198. Wed Jan 20 10:33:59 2021 2 relations: 559753
  199. Wed Jan 20 10:33:59 2021 3 relations: 704844
  200. Wed Jan 20 10:33:59 2021 4 relations: 769417
  201. Wed Jan 20 10:33:59 2021 5 relations: 827042
  202. Wed Jan 20 10:33:59 2021 6 relations: 839959
  203. Wed Jan 20 10:33:59 2021 7 relations: 839573
  204. Wed Jan 20 10:33:59 2021 8 relations: 795320
  205. Wed Jan 20 10:33:59 2021 9 relations: 738084
  206. Wed Jan 20 10:33:59 2021 10+ relations: 3465834
  207. Wed Jan 20 10:33:59 2021 heaviest cycle: 28 relations
  208. Wed Jan 20 10:34:20 2021 RelProcTime: 10579
  209. Wed Jan 20 10:34:20 2021
  210. Wed Jan 20 10:34:20 2021 commencing linear algebra
  211. Wed Jan 20 10:34:22 2021 read 9943413 cycles
  212. Wed Jan 20 10:34:42 2021 cycles contain 30949295 unique relations
  213. Wed Jan 20 10:42:40 2021 read 30949295 relations
  214. Wed Jan 20 10:43:36 2021 using 20 quadratic characters above 2147483550
  215. Wed Jan 20 10:45:45 2021 building initial matrix
  216. Wed Jan 20 10:52:16 2021 memory use: 3887.3 MB
  217. Wed Jan 20 10:52:24 2021 read 9943413 cycles
  218. Wed Jan 20 10:52:26 2021 matrix is 9943236 x 9943413 (4515.0 MB) with weight 1281893359 (128.92/col)
  219. Wed Jan 20 10:52:26 2021 sparse part has weight 1074199348 (108.03/col)
  220. Wed Jan 20 10:54:28 2021 filtering completed in 2 passes
  221. Wed Jan 20 10:54:31 2021 matrix is 9942926 x 9943103 (4515.0 MB) with weight 1281882056 (128.92/col)
  222. Wed Jan 20 10:54:31 2021 sparse part has weight 1074194516 (108.03/col)
  223. Wed Jan 20 10:55:47 2021 matrix starts at (0, 0)
  224. Wed Jan 20 10:55:49 2021 matrix is 9942926 x 9943103 (4515.0 MB) with weight 1281882056 (128.92/col)
  225. Wed Jan 20 10:55:49 2021 sparse part has weight 1074194516 (108.03/col)
  226. Wed Jan 20 10:55:49 2021 saving the first 48 matrix rows for later
  227. Wed Jan 20 10:55:52 2021 matrix includes 64 packed rows
  228. Wed Jan 20 10:55:54 2021 matrix is 9942878 x 9943103 (4325.9 MB) with weight 1104597838 (111.09/col)
  229. Wed Jan 20 10:55:54 2021 sparse part has weight 1034587104 (104.05/col)
  230. Wed Jan 20 10:55:54 2021 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  231. Wed Jan 20 10:56:47 2021 commencing Lanczos iteration (8 threads)
  232. Wed Jan 20 10:56:47 2021 memory use: 3694.8 MB
  233. Wed Jan 20 10:58:03 2021 linear algebra at 0.0%, ETA 132h21m
  234. Wed Jan 20 10:58:28 2021 checkpointing every 80000 dimensions
  235. Mon Jan 25 23:42:34 2021 lanczos halted after 157226 iterations (dim = 9942877)
  236. Mon Jan 25 23:42:59 2021 recovered 37 nontrivial dependencies
  237. Mon Jan 25 23:43:08 2021 BLanczosTime: 479328
  238. Mon Jan 25 23:43:08 2021
  239. Mon Jan 25 23:43:08 2021 commencing square root phase
  240. Mon Jan 25 23:43:08 2021 handling dependencies 1 to 64
  241. Mon Jan 25 23:43:08 2021 reading relations for dependency 1
  242. Mon Jan 25 23:43:10 2021 read 4971737 cycles
  243. Mon Jan 25 23:43:19 2021 cycles contain 15472292 unique relations
  244. Mon Jan 25 23:51:15 2021 read 15472292 relations
  245. Mon Jan 25 23:52:43 2021 multiplying 15472292 relations
  246. Tue Jan 26 00:04:59 2021 multiply complete, coefficients have about 400.14 million bits
  247. Tue Jan 26 00:05:04 2021 initial square root is modulo 15126613
  248. Tue Jan 26 00:20:17 2021 sqrtTime: 2229
  249. Tue Jan 26 00:20:17 2021 prp83 factor: 16700096523299630893472388366118974723690274818074341769651328600601181666038611931
  250. Tue Jan 26 00:20:17 2021 prp166 factor: 5807653947055445011905929169688465315455460651709553617529241014416073746407734781668516587384655292304987629105826888532396303349373906558260005601643434887641189507
  251. Tue Jan 26 00:20:17 2021 elapsed time 136:42:18
  252.  
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