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Msieve log of 127__053_7m1

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Sep 24th, 2021
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  1. Thu Sep 23 09:23:15 2021
  2. Thu Sep 23 09:23:15 2021
  3. Thu Sep 23 09:23:15 2021 Msieve v. 1.53 (SVN 988)
  4. Thu Sep 23 09:23:15 2021 random seeds: 46bfbfb8 01af0d69
  5. Thu Sep 23 09:23:15 2021 factoring 26794745868028856768762552038954501484345325983054792228711288577054513254905253015077798155044319857597474642430116964867641350655002468386557565902048259156814533375073 (170 digits)
  6. Thu Sep 23 09:23:16 2021 searching for 15-digit factors
  7. Thu Sep 23 09:23:17 2021 commencing number field sieve (170-digit input)
  8. Thu Sep 23 09:23:17 2021 R0: 12765847665027705571158569756679998053
  9. Thu Sep 23 09:23:17 2021 R1: -1
  10. Thu Sep 23 09:23:17 2021 A0: 1
  11. Thu Sep 23 09:23:17 2021 A1: 1
  12. Thu Sep 23 09:23:17 2021 A2: 1
  13. Thu Sep 23 09:23:17 2021 A3: 1
  14. Thu Sep 23 09:23:17 2021 A4: 1
  15. Thu Sep 23 09:23:17 2021 A5: 1
  16. Thu Sep 23 09:23:17 2021 A6: 1
  17. Thu Sep 23 09:23:17 2021 skew 1.00, size 4.866e-011, alpha 2.428, combined = 2.005e-012 rroots = 0
  18. Thu Sep 23 09:23:17 2021
  19. Thu Sep 23 09:23:17 2021 commencing relation filtering
  20. Thu Sep 23 09:23:17 2021 setting target matrix density to 100.0
  21. Thu Sep 23 09:23:17 2021 estimated available RAM is 12041.5 MB
  22. Thu Sep 23 09:23:17 2021 commencing duplicate removal, pass 1
  23. Thu Sep 23 09:29:02 2021 error -15 reading relation 26130689
  24. Thu Sep 23 09:35:40 2021 error -9 reading relation 55975149
  25. Thu Sep 23 09:37:22 2021 error -15 reading relation 63136191
  26. Thu Sep 23 09:38:21 2021 error -15 reading relation 67416617
  27. Thu Sep 23 09:39:05 2021 error -9 reading relation 70728025
  28. Thu Sep 23 09:39:26 2021 error -15 reading relation 72276273
  29. Thu Sep 23 09:39:59 2021 error -1 reading relation 74668408
  30. Thu Sep 23 09:40:32 2021 error -15 reading relation 77139210
  31. Thu Sep 23 09:40:58 2021 error -15 reading relation 79121009
  32. Thu Sep 23 09:41:06 2021 error -9 reading relation 79733618
  33. Thu Sep 23 09:43:29 2021 error -1 reading relation 90776993
  34. Thu Sep 23 09:44:28 2021 error -1 reading relation 95299588
  35. Thu Sep 23 09:45:23 2021 error -9 reading relation 99535460
  36. Thu Sep 23 09:45:27 2021 error -15 reading relation 99760860
  37. Thu Sep 23 09:45:40 2021 error -9 reading relation 100815613
  38. Thu Sep 23 09:46:27 2021 error -9 reading relation 104411531
  39. Thu Sep 23 09:47:14 2021 error -15 reading relation 108013532
  40. Thu Sep 23 09:47:21 2021 error -9 reading relation 108557276
  41. Thu Sep 23 09:47:26 2021 error -9 reading relation 108920009
  42. Thu Sep 23 09:47:34 2021 error -15 reading relation 109606766
  43. Thu Sep 23 09:47:46 2021 error -9 reading relation 110454349
  44. Thu Sep 23 09:48:25 2021 error -15 reading relation 113354881
  45. Thu Sep 23 09:48:44 2021 error -9 reading relation 114678238
  46. Thu Sep 23 09:49:59 2021 error -9 reading relation 119768897
  47. Thu Sep 23 09:50:28 2021 error -5 reading relation 121886510
  48. Thu Sep 23 09:50:44 2021 error -5 reading relation 123078011
  49. Thu Sep 23 09:51:00 2021 error -9 reading relation 124261878
  50. Thu Sep 23 09:51:10 2021 error -15 reading relation 124991497
  51. Thu Sep 23 09:51:42 2021 error -9 reading relation 127370827
  52. Thu Sep 23 09:51:57 2021 error -1 reading relation 128508789
  53. Thu Sep 23 09:52:08 2021 error -15 reading relation 129451909
  54. Thu Sep 23 09:52:09 2021 error -15 reading relation 129482696
  55. Thu Sep 23 09:52:09 2021 error -15 reading relation 129522760
  56. Thu Sep 23 09:52:12 2021 error -15 reading relation 129735997
  57. Thu Sep 23 09:52:13 2021 error -9 reading relation 129841561
  58. Thu Sep 23 09:52:31 2021 skipped 10 relations with b > 2^32
  59. Thu Sep 23 09:52:31 2021 skipped 21 relations with composite factors
  60. Thu Sep 23 09:52:31 2021 found 21206663 hash collisions in 131280109 relations
  61. Thu Sep 23 09:52:42 2021 added 2438534 free relations
  62. Thu Sep 23 09:52:42 2021 commencing duplicate removal, pass 2
  63. Thu Sep 23 09:54:35 2021 found 18211854 duplicates and 115506789 unique relations
  64. Thu Sep 23 09:54:35 2021 memory use: 660.8 MB
  65. Thu Sep 23 09:54:36 2021 reading ideals above 69926912
  66. Thu Sep 23 09:54:36 2021 commencing singleton removal, initial pass
  67. Thu Sep 23 10:15:20 2021 memory use: 2756.0 MB
  68. Thu Sep 23 10:15:20 2021 reading all ideals from disk
  69. Thu Sep 23 10:15:24 2021 memory use: 1981.5 MB
  70. Thu Sep 23 10:15:29 2021 commencing in-memory singleton removal
  71. Thu Sep 23 10:15:35 2021 begin with 115506789 relations and 85512654 unique ideals
  72. Thu Sep 23 10:16:21 2021 reduce to 85339492 relations and 52915594 ideals in 10 passes
  73. Thu Sep 23 10:16:21 2021 max relations containing the same ideal: 54
  74. Thu Sep 23 10:16:29 2021 reading ideals above 720000
  75. Thu Sep 23 10:16:29 2021 commencing singleton removal, initial pass
  76. Thu Sep 23 10:35:57 2021 memory use: 1506.0 MB
  77. Thu Sep 23 10:35:57 2021 reading all ideals from disk
  78. Thu Sep 23 10:36:04 2021 memory use: 3166.2 MB
  79. Thu Sep 23 10:36:17 2021 keeping 60709786 ideals with weight <= 200, target excess is 433726
  80. Thu Sep 23 10:36:30 2021 commencing in-memory singleton removal
  81. Thu Sep 23 10:36:41 2021 begin with 85339494 relations and 60709786 unique ideals
  82. Thu Sep 23 10:37:11 2021 reduce to 85339440 relations and 60709728 ideals in 3 passes
  83. Thu Sep 23 10:37:11 2021 max relations containing the same ideal: 200
  84. Thu Sep 23 10:37:58 2021 removing 7498625 relations and 5498625 ideals in 2000000 cliques
  85. Thu Sep 23 10:38:02 2021 commencing in-memory singleton removal
  86. Thu Sep 23 10:38:12 2021 begin with 77840815 relations and 60709728 unique ideals
  87. Thu Sep 23 10:39:08 2021 reduce to 77287892 relations and 54641870 ideals in 7 passes
  88. Thu Sep 23 10:39:08 2021 max relations containing the same ideal: 196
  89. Thu Sep 23 10:39:51 2021 removing 6125871 relations and 4125871 ideals in 2000000 cliques
  90. Thu Sep 23 10:39:55 2021 commencing in-memory singleton removal
  91. Thu Sep 23 10:40:03 2021 begin with 71162021 relations and 54641870 unique ideals
  92. Thu Sep 23 10:40:54 2021 reduce to 70783154 relations and 50127086 ideals in 7 passes
  93. Thu Sep 23 10:40:54 2021 max relations containing the same ideal: 188
  94. Thu Sep 23 10:41:34 2021 removing 5715451 relations and 3715451 ideals in 2000000 cliques
  95. Thu Sep 23 10:41:37 2021 commencing in-memory singleton removal
  96. Thu Sep 23 10:41:45 2021 begin with 65067703 relations and 50127086 unique ideals
  97. Thu Sep 23 10:42:29 2021 reduce to 64738728 relations and 46073887 ideals in 7 passes
  98. Thu Sep 23 10:42:29 2021 max relations containing the same ideal: 179
  99. Thu Sep 23 10:43:06 2021 removing 5494606 relations and 3494606 ideals in 2000000 cliques
  100. Thu Sep 23 10:43:09 2021 commencing in-memory singleton removal
  101. Thu Sep 23 10:43:15 2021 begin with 59244122 relations and 46073887 unique ideals
  102. Thu Sep 23 10:43:55 2021 reduce to 58932304 relations and 42258638 ideals in 7 passes
  103. Thu Sep 23 10:43:55 2021 max relations containing the same ideal: 170
  104. Thu Sep 23 10:44:28 2021 removing 5357698 relations and 3357698 ideals in 2000000 cliques
  105. Thu Sep 23 10:44:31 2021 commencing in-memory singleton removal
  106. Thu Sep 23 10:44:37 2021 begin with 53574606 relations and 42258638 unique ideals
  107. Thu Sep 23 10:45:12 2021 reduce to 53269552 relations and 38586626 ideals in 7 passes
  108. Thu Sep 23 10:45:12 2021 max relations containing the same ideal: 157
  109. Thu Sep 23 10:45:42 2021 removing 5263275 relations and 3263275 ideals in 2000000 cliques
  110. Thu Sep 23 10:45:45 2021 commencing in-memory singleton removal
  111. Thu Sep 23 10:45:50 2021 begin with 48006277 relations and 38586626 unique ideals
  112. Thu Sep 23 10:46:17 2021 reduce to 47695723 relations and 35002455 ideals in 6 passes
  113. Thu Sep 23 10:46:17 2021 max relations containing the same ideal: 145
  114. Thu Sep 23 10:46:45 2021 removing 5197988 relations and 3197988 ideals in 2000000 cliques
  115. Thu Sep 23 10:46:48 2021 commencing in-memory singleton removal
  116. Thu Sep 23 10:46:52 2021 begin with 42497735 relations and 35002455 unique ideals
  117. Thu Sep 23 10:47:18 2021 reduce to 42172685 relations and 31467665 ideals in 6 passes
  118. Thu Sep 23 10:47:18 2021 max relations containing the same ideal: 133
  119. Thu Sep 23 10:47:43 2021 removing 5150343 relations and 3150343 ideals in 2000000 cliques
  120. Thu Sep 23 10:47:45 2021 commencing in-memory singleton removal
  121. Thu Sep 23 10:47:49 2021 begin with 37022342 relations and 31467665 unique ideals
  122. Thu Sep 23 10:48:10 2021 reduce to 36675820 relations and 27956924 ideals in 6 passes
  123. Thu Sep 23 10:48:10 2021 max relations containing the same ideal: 124
  124. Thu Sep 23 10:48:32 2021 removing 5117905 relations and 3117905 ideals in 2000000 cliques
  125. Thu Sep 23 10:48:34 2021 commencing in-memory singleton removal
  126. Thu Sep 23 10:48:37 2021 begin with 31557915 relations and 27956924 unique ideals
  127. Thu Sep 23 10:48:54 2021 reduce to 31178612 relations and 24442559 ideals in 6 passes
  128. Thu Sep 23 10:48:54 2021 max relations containing the same ideal: 109
  129. Thu Sep 23 10:49:13 2021 removing 5091905 relations and 3091905 ideals in 2000000 cliques
  130. Thu Sep 23 10:49:15 2021 commencing in-memory singleton removal
  131. Thu Sep 23 10:49:18 2021 begin with 26086707 relations and 24442559 unique ideals
  132. Thu Sep 23 10:49:32 2021 reduce to 25662548 relations and 20904340 ideals in 6 passes
  133. Thu Sep 23 10:49:32 2021 max relations containing the same ideal: 95
  134. Thu Sep 23 10:49:47 2021 removing 5060502 relations and 3060502 ideals in 2000000 cliques
  135. Thu Sep 23 10:49:49 2021 commencing in-memory singleton removal
  136. Thu Sep 23 10:49:52 2021 begin with 20602046 relations and 20904340 unique ideals
  137. Thu Sep 23 10:50:04 2021 reduce to 20115954 relations and 17327384 ideals in 7 passes
  138. Thu Sep 23 10:50:04 2021 max relations containing the same ideal: 82
  139. Thu Sep 23 10:50:17 2021 removing 5011943 relations and 3011943 ideals in 2000000 cliques
  140. Thu Sep 23 10:50:18 2021 commencing in-memory singleton removal
  141. Thu Sep 23 10:50:20 2021 begin with 15104011 relations and 17327384 unique ideals
  142. Thu Sep 23 10:50:31 2021 reduce to 14498863 relations and 13661760 ideals in 8 passes
  143. Thu Sep 23 10:50:31 2021 max relations containing the same ideal: 67
  144. Thu Sep 23 10:50:39 2021 removing 1112250 relations and 778270 ideals in 333980 cliques
  145. Thu Sep 23 10:50:40 2021 commencing in-memory singleton removal
  146. Thu Sep 23 10:50:42 2021 begin with 13386613 relations and 13661760 unique ideals
  147. Thu Sep 23 10:50:49 2021 reduce to 13291354 relations and 12785768 ideals in 6 passes
  148. Thu Sep 23 10:50:49 2021 max relations containing the same ideal: 61
  149. Thu Sep 23 10:50:59 2021 relations with 0 large ideals: 31905
  150. Thu Sep 23 10:50:59 2021 relations with 1 large ideals: 11409
  151. Thu Sep 23 10:50:59 2021 relations with 2 large ideals: 99165
  152. Thu Sep 23 10:50:59 2021 relations with 3 large ideals: 573192
  153. Thu Sep 23 10:50:59 2021 relations with 4 large ideals: 1749466
  154. Thu Sep 23 10:50:59 2021 relations with 5 large ideals: 3130418
  155. Thu Sep 23 10:50:59 2021 relations with 6 large ideals: 3462523
  156. Thu Sep 23 10:50:59 2021 relations with 7+ large ideals: 4233276
  157. Thu Sep 23 10:50:59 2021 commencing 2-way merge
  158. Thu Sep 23 10:51:10 2021 reduce to 9458866 relation sets and 8953280 unique ideals
  159. Thu Sep 23 10:51:10 2021 commencing full merge
  160. Thu Sep 23 10:55:52 2021 memory use: 1198.3 MB
  161. Thu Sep 23 10:55:54 2021 found 4490508 cycles, need 4435480
  162. Thu Sep 23 10:55:55 2021 weight of 4435480 cycles is about 443785203 (100.05/cycle)
  163. Thu Sep 23 10:55:55 2021 distribution of cycle lengths:
  164. Thu Sep 23 10:55:55 2021 1 relations: 163457
  165. Thu Sep 23 10:55:55 2021 2 relations: 274725
  166. Thu Sep 23 10:55:55 2021 3 relations: 353543
  167. Thu Sep 23 10:55:55 2021 4 relations: 390232
  168. Thu Sep 23 10:55:55 2021 5 relations: 406521
  169. Thu Sep 23 10:55:55 2021 6 relations: 399411
  170. Thu Sep 23 10:55:55 2021 7 relations: 381641
  171. Thu Sep 23 10:55:55 2021 8 relations: 347556
  172. Thu Sep 23 10:55:55 2021 9 relations: 309638
  173. Thu Sep 23 10:55:55 2021 10+ relations: 1408756
  174. Thu Sep 23 10:55:55 2021 heaviest cycle: 27 relations
  175. Thu Sep 23 10:55:58 2021 commencing cycle optimization
  176. Thu Sep 23 10:56:08 2021 start with 34887908 relations
  177. Thu Sep 23 10:58:06 2021 pruned 1710783 relations
  178. Thu Sep 23 10:58:06 2021 memory use: 916.0 MB
  179. Thu Sep 23 10:58:06 2021 distribution of cycle lengths:
  180. Thu Sep 23 10:58:06 2021 1 relations: 163457
  181. Thu Sep 23 10:58:06 2021 2 relations: 281797
  182. Thu Sep 23 10:58:06 2021 3 relations: 369820
  183. Thu Sep 23 10:58:06 2021 4 relations: 409610
  184. Thu Sep 23 10:58:06 2021 5 relations: 430430
  185. Thu Sep 23 10:58:06 2021 6 relations: 422667
  186. Thu Sep 23 10:58:06 2021 7 relations: 403998
  187. Thu Sep 23 10:58:06 2021 8 relations: 364035
  188. Thu Sep 23 10:58:06 2021 9 relations: 321849
  189. Thu Sep 23 10:58:06 2021 10+ relations: 1267817
  190. Thu Sep 23 10:58:06 2021 heaviest cycle: 27 relations
  191. Thu Sep 23 10:58:14 2021 RelProcTime: 5697
  192. Thu Sep 23 10:58:14 2021
  193. Thu Sep 23 10:58:14 2021 commencing linear algebra
  194. Thu Sep 23 10:58:15 2021 read 4435480 cycles
  195. Thu Sep 23 10:58:27 2021 cycles contain 13061282 unique relations
  196. Thu Sep 23 11:01:04 2021 read 13061282 relations
  197. Thu Sep 23 11:01:36 2021 using 20 quadratic characters above 4294917295
  198. Thu Sep 23 11:03:11 2021 building initial matrix
  199. Thu Sep 23 11:07:00 2021 memory use: 1614.6 MB
  200. Thu Sep 23 11:07:06 2021 read 4435480 cycles
  201. Thu Sep 23 11:07:07 2021 matrix is 4435302 x 4435480 (1769.9 MB) with weight 506956904 (114.30/col)
  202. Thu Sep 23 11:07:07 2021 sparse part has weight 415165626 (93.60/col)
  203. Thu Sep 23 11:08:09 2021 filtering completed in 2 passes
  204. Thu Sep 23 11:08:10 2021 matrix is 4435008 x 4435186 (1769.8 MB) with weight 506944913 (114.30/col)
  205. Thu Sep 23 11:08:10 2021 sparse part has weight 415159690 (93.61/col)
  206. Thu Sep 23 11:08:25 2021 matrix starts at (0, 0)
  207. Thu Sep 23 11:08:26 2021 matrix is 4435008 x 4435186 (1769.8 MB) with weight 506944913 (114.30/col)
  208. Thu Sep 23 11:08:26 2021 sparse part has weight 415159690 (93.61/col)
  209. Thu Sep 23 11:08:26 2021 saving the first 48 matrix rows for later
  210. Thu Sep 23 11:08:28 2021 matrix includes 64 packed rows
  211. Thu Sep 23 11:08:29 2021 matrix is 4434960 x 4435186 (1689.3 MB) with weight 428454815 (96.60/col)
  212. Thu Sep 23 11:08:29 2021 sparse part has weight 398482239 (89.85/col)
  213. Thu Sep 23 11:08:29 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  214. Thu Sep 23 11:08:58 2021 commencing Lanczos iteration (6 threads)
  215. Thu Sep 23 11:08:58 2021 memory use: 1413.0 MB
  216. Thu Sep 23 11:09:16 2021 linear algebra at 0.0%, ETA 13h50m
  217. Thu Sep 23 11:09:22 2021 checkpointing every 320000 dimensions
  218. Fri Sep 24 01:01:21 2021 lanczos halted after 70136 iterations (dim = 4434960)
  219. Fri Sep 24 01:01:27 2021 recovered 40 nontrivial dependencies
  220. Fri Sep 24 01:01:29 2021 BLanczosTime: 50595
  221. Fri Sep 24 01:01:29 2021
  222. Fri Sep 24 01:01:29 2021 commencing square root phase
  223. Fri Sep 24 01:01:29 2021 handling dependencies 1 to 64
  224. Fri Sep 24 01:01:29 2021 reading relations for dependency 1
  225. Fri Sep 24 01:01:30 2021 read 2218639 cycles
  226. Fri Sep 24 01:01:36 2021 cycles contain 6529930 unique relations
  227. Fri Sep 24 01:03:21 2021 read 6529930 relations
  228. Fri Sep 24 01:04:03 2021 multiplying 6529930 relations
  229. Fri Sep 24 01:09:24 2021 multiply complete, coefficients have about 158.80 million bits
  230. Fri Sep 24 01:09:26 2021 initial square root is modulo 500197
  231. Fri Sep 24 01:14:51 2021 GCD is N, no factor found
  232. Fri Sep 24 01:14:51 2021 reading relations for dependency 2
  233. Fri Sep 24 01:14:53 2021 read 2215771 cycles
  234. Fri Sep 24 01:14:58 2021 cycles contain 6526472 unique relations
  235. Fri Sep 24 01:16:43 2021 read 6526472 relations
  236. Fri Sep 24 01:17:25 2021 multiplying 6526472 relations
  237. Fri Sep 24 01:22:53 2021 multiply complete, coefficients have about 158.72 million bits
  238. Fri Sep 24 01:22:54 2021 initial square root is modulo 496849
  239. Fri Sep 24 01:28:24 2021 GCD is N, no factor found
  240. Fri Sep 24 01:28:24 2021 reading relations for dependency 3
  241. Fri Sep 24 01:28:26 2021 read 2216978 cycles
  242. Fri Sep 24 01:28:31 2021 cycles contain 6529896 unique relations
  243. Fri Sep 24 01:30:17 2021 read 6529896 relations
  244. Fri Sep 24 01:31:01 2021 multiplying 6529896 relations
  245. Fri Sep 24 01:36:26 2021 multiply complete, coefficients have about 158.80 million bits
  246. Fri Sep 24 01:36:27 2021 initial square root is modulo 500069
  247. Fri Sep 24 01:41:51 2021 sqrtTime: 2422
  248. Fri Sep 24 01:41:51 2021 p75 factor: 640441129436406709412668323020706981303785602378972958134019631219424059713
  249. Fri Sep 24 01:41:51 2021 p95 factor: 41837952992819880833424939694185688968895045237169683206391182979227790868155230450152954194721
  250. Fri Sep 24 01:41:51 2021 elapsed time 16:18:36
  251.  
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