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Msieve log of 315__981_3m1

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Feb 22nd, 2021
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  1. Sun Feb 21 12:25:47 2021
  2. Sun Feb 21 12:25:47 2021
  3. Sun Feb 21 12:25:47 2021 Msieve v. 1.53 (SVN 988)
  4. Sun Feb 21 12:25:47 2021 random seeds: 63521940 409587f4
  5. Sun Feb 21 12:25:47 2021 factoring 634210191473724636073012888778064585963828736422493264229952585199734220705677698375420277345203845659582125672684812004155918762310432006272978567275555697 (156 digits)
  6. Sun Feb 21 12:25:48 2021 searching for 15-digit factors
  7. Sun Feb 21 12:25:48 2021 commencing number field sieve (156-digit input)
  8. Sun Feb 21 12:25:48 2021 R0: -1066970121962138726598046402376
  9. Sun Feb 21 12:25:48 2021 R1: 2054816105087743
  10. Sun Feb 21 12:25:48 2021 A0: -36607285538657015690478860138058335001
  11. Sun Feb 21 12:25:48 2021 A1: 62915465145625658641778217302923
  12. Sun Feb 21 12:25:48 2021 A2: 13024747782731511811122219
  13. Sun Feb 21 12:25:48 2021 A3: -14379228008570988723
  14. Sun Feb 21 12:25:48 2021 A4: -1643936213578
  15. Sun Feb 21 12:25:48 2021 A5: 458640
  16. Sun Feb 21 12:25:48 2021 skew 1.00, size 3.686e-015, alpha -6.914, combined = 1.801e-014 rroots = 5
  17. Sun Feb 21 12:25:48 2021
  18. Sun Feb 21 12:25:48 2021 commencing relation filtering
  19. Sun Feb 21 12:25:48 2021 setting target matrix density to 110.0
  20. Sun Feb 21 12:25:48 2021 estimated available RAM is 16151.1 MB
  21. Sun Feb 21 12:25:48 2021 commencing duplicate removal, pass 1
  22. Sun Feb 21 12:28:24 2021 error -9 reading relation 21320289
  23. Sun Feb 21 12:28:35 2021 error -5 reading relation 22802466
  24. Sun Feb 21 12:28:57 2021 error -5 reading relation 25694213
  25. Sun Feb 21 12:29:26 2021 error -9 reading relation 29451149
  26. Sun Feb 21 12:29:52 2021 error -15 reading relation 32874370
  27. Sun Feb 21 12:29:53 2021 error -15 reading relation 33022645
  28. Sun Feb 21 12:30:23 2021 error -15 reading relation 36973857
  29. Sun Feb 21 12:30:41 2021 error -1 reading relation 39387213
  30. Sun Feb 21 12:30:52 2021 error -1 reading relation 40908243
  31. Sun Feb 21 12:30:52 2021 error -15 reading relation 40921873
  32. Sun Feb 21 12:30:52 2021 error -15 reading relation 40924154
  33. Sun Feb 21 12:30:56 2021 error -15 reading relation 41434746
  34. Sun Feb 21 12:30:56 2021 error -15 reading relation 41512143
  35. Sun Feb 21 12:30:56 2021 error -15 reading relation 41524693
  36. Sun Feb 21 12:30:56 2021 error -15 reading relation 41526286
  37. Sun Feb 21 12:30:57 2021 error -9 reading relation 41604507
  38. Sun Feb 21 12:30:57 2021 error -15 reading relation 41616994
  39. Sun Feb 21 12:30:57 2021 error -9 reading relation 41618505
  40. Sun Feb 21 12:30:58 2021 error -9 reading relation 41746195
  41. Sun Feb 21 12:31:13 2021 error -15 reading relation 43776200
  42. Sun Feb 21 12:31:14 2021 error -1 reading relation 43869409
  43. Sun Feb 21 12:31:14 2021 error -15 reading relation 43918178
  44. Sun Feb 21 12:31:14 2021 error -1 reading relation 43924040
  45. Sun Feb 21 12:31:14 2021 error -15 reading relation 43974195
  46. Sun Feb 21 12:31:30 2021 error -9 reading relation 46085205
  47. Sun Feb 21 12:31:40 2021 error -15 reading relation 47329538
  48. Sun Feb 21 12:31:45 2021 error -1 reading relation 47995473
  49. Sun Feb 21 12:31:46 2021 error -9 reading relation 48103927
  50. Sun Feb 21 12:31:47 2021 error -15 reading relation 48230820
  51. Sun Feb 21 12:31:56 2021 error -15 reading relation 49472696
  52. Sun Feb 21 12:31:56 2021 error -15 reading relation 49541295
  53. Sun Feb 21 12:31:59 2021 error -9 reading relation 49817048
  54. Sun Feb 21 12:31:59 2021 error -1 reading relation 49825726
  55. Sun Feb 21 12:31:59 2021 error -15 reading relation 49837000
  56. Sun Feb 21 12:32:05 2021 error -15 reading relation 50687104
  57. Sun Feb 21 12:32:05 2021 error -15 reading relation 50689765
  58. Sun Feb 21 12:32:12 2021 error -15 reading relation 51643697
  59. Sun Feb 21 12:32:14 2021 error -15 reading relation 51904294
  60. Sun Feb 21 12:33:00 2021 error -9 reading relation 57897465
  61. Sun Feb 21 12:33:00 2021 error -1 reading relation 57897466
  62. Sun Feb 21 12:33:01 2021 error -9 reading relation 58021326
  63. Sun Feb 21 12:33:05 2021 error -15 reading relation 58487876
  64. Sun Feb 21 12:33:05 2021 error -5 reading relation 58533322
  65. Sun Feb 21 12:33:05 2021 error -9 reading relation 58544977
  66. Sun Feb 21 12:33:05 2021 error -15 reading relation 58573837
  67. Sun Feb 21 12:33:09 2021 error -1 reading relation 59018749
  68. Sun Feb 21 12:33:09 2021 error -1 reading relation 59018750
  69. Sun Feb 21 12:33:10 2021 error -9 reading relation 59109861
  70. Sun Feb 21 12:33:12 2021 error -9 reading relation 59439831
  71. Sun Feb 21 12:33:12 2021 error -15 reading relation 59453628
  72. Sun Feb 21 12:33:25 2021 error -15 reading relation 61291345
  73. Sun Feb 21 12:33:26 2021 error -1 reading relation 61297685
  74. Sun Feb 21 12:33:33 2021 error -5 reading relation 62399471
  75. Sun Feb 21 12:33:34 2021 error -1 reading relation 62519968
  76. Sun Feb 21 12:33:50 2021 skipped 19 relations with composite factors
  77. Sun Feb 21 12:33:50 2021 found 14670199 hash collisions in 64802476 relations
  78. Sun Feb 21 12:34:12 2021 added 121873 free relations
  79. Sun Feb 21 12:34:12 2021 commencing duplicate removal, pass 2
  80. Sun Feb 21 12:34:54 2021 found 15789151 duplicates and 49135198 unique relations
  81. Sun Feb 21 12:34:54 2021 memory use: 362.4 MB
  82. Sun Feb 21 12:34:54 2021 reading ideals above 720000
  83. Sun Feb 21 12:34:54 2021 commencing singleton removal, initial pass
  84. Sun Feb 21 12:41:35 2021 memory use: 1378.0 MB
  85. Sun Feb 21 12:41:35 2021 reading all ideals from disk
  86. Sun Feb 21 12:41:37 2021 memory use: 1778.3 MB
  87. Sun Feb 21 12:41:44 2021 keeping 46949402 ideals with weight <= 200, target excess is 255031
  88. Sun Feb 21 12:41:51 2021 commencing in-memory singleton removal
  89. Sun Feb 21 12:41:59 2021 begin with 49135198 relations and 46949402 unique ideals
  90. Sun Feb 21 12:43:07 2021 reduce to 31297149 relations and 27283434 ideals in 14 passes
  91. Sun Feb 21 12:43:07 2021 max relations containing the same ideal: 156
  92. Sun Feb 21 12:43:26 2021 removing 2498345 relations and 2098345 ideals in 400000 cliques
  93. Sun Feb 21 12:43:27 2021 commencing in-memory singleton removal
  94. Sun Feb 21 12:43:31 2021 begin with 28798804 relations and 27283434 unique ideals
  95. Sun Feb 21 12:43:58 2021 reduce to 28639178 relations and 25022795 ideals in 8 passes
  96. Sun Feb 21 12:43:58 2021 max relations containing the same ideal: 148
  97. Sun Feb 21 12:44:18 2021 removing 1911463 relations and 1511463 ideals in 400000 cliques
  98. Sun Feb 21 12:44:19 2021 commencing in-memory singleton removal
  99. Sun Feb 21 12:44:23 2021 begin with 26727715 relations and 25022795 unique ideals
  100. Sun Feb 21 12:44:48 2021 reduce to 26622039 relations and 23404157 ideals in 7 passes
  101. Sun Feb 21 12:44:48 2021 max relations containing the same ideal: 143
  102. Sun Feb 21 12:45:05 2021 removing 1734809 relations and 1334809 ideals in 400000 cliques
  103. Sun Feb 21 12:45:06 2021 commencing in-memory singleton removal
  104. Sun Feb 21 12:45:10 2021 begin with 24887230 relations and 23404157 unique ideals
  105. Sun Feb 21 12:45:33 2021 reduce to 24793434 relations and 21974286 ideals in 7 passes
  106. Sun Feb 21 12:45:33 2021 max relations containing the same ideal: 135
  107. Sun Feb 21 12:45:50 2021 removing 1645674 relations and 1245675 ideals in 400000 cliques
  108. Sun Feb 21 12:45:51 2021 commencing in-memory singleton removal
  109. Sun Feb 21 12:45:54 2021 begin with 23147760 relations and 21974286 unique ideals
  110. Sun Feb 21 12:46:26 2021 reduce to 23057545 relations and 20637082 ideals in 10 passes
  111. Sun Feb 21 12:46:26 2021 max relations containing the same ideal: 127
  112. Sun Feb 21 12:46:43 2021 removing 1596415 relations and 1196415 ideals in 400000 cliques
  113. Sun Feb 21 12:46:44 2021 commencing in-memory singleton removal
  114. Sun Feb 21 12:46:46 2021 begin with 21461130 relations and 20637082 unique ideals
  115. Sun Feb 21 12:47:06 2021 reduce to 21368588 relations and 19346750 ideals in 7 passes
  116. Sun Feb 21 12:47:06 2021 max relations containing the same ideal: 121
  117. Sun Feb 21 12:47:19 2021 removing 1568367 relations and 1168367 ideals in 400000 cliques
  118. Sun Feb 21 12:47:20 2021 commencing in-memory singleton removal
  119. Sun Feb 21 12:47:23 2021 begin with 19800221 relations and 19346750 unique ideals
  120. Sun Feb 21 12:47:40 2021 reduce to 19705028 relations and 18081549 ideals in 7 passes
  121. Sun Feb 21 12:47:40 2021 max relations containing the same ideal: 117
  122. Sun Feb 21 12:47:53 2021 removing 1555982 relations and 1155982 ideals in 400000 cliques
  123. Sun Feb 21 12:47:54 2021 commencing in-memory singleton removal
  124. Sun Feb 21 12:47:56 2021 begin with 18149046 relations and 18081549 unique ideals
  125. Sun Feb 21 12:48:10 2021 reduce to 18048127 relations and 16822942 ideals in 7 passes
  126. Sun Feb 21 12:48:10 2021 max relations containing the same ideal: 113
  127. Sun Feb 21 12:48:22 2021 removing 1554358 relations and 1154358 ideals in 400000 cliques
  128. Sun Feb 21 12:48:23 2021 commencing in-memory singleton removal
  129. Sun Feb 21 12:48:25 2021 begin with 16493769 relations and 16822942 unique ideals
  130. Sun Feb 21 12:48:43 2021 reduce to 16383331 relations and 15555972 ideals in 8 passes
  131. Sun Feb 21 12:48:43 2021 max relations containing the same ideal: 100
  132. Sun Feb 21 12:48:55 2021 removing 1560962 relations and 1160962 ideals in 400000 cliques
  133. Sun Feb 21 12:48:55 2021 commencing in-memory singleton removal
  134. Sun Feb 21 12:48:57 2021 begin with 14822369 relations and 15555972 unique ideals
  135. Sun Feb 21 12:49:14 2021 reduce to 14698338 relations and 14268362 ideals in 8 passes
  136. Sun Feb 21 12:49:14 2021 max relations containing the same ideal: 93
  137. Sun Feb 21 12:49:24 2021 removing 662629 relations and 528489 ideals in 134140 cliques
  138. Sun Feb 21 12:49:24 2021 commencing in-memory singleton removal
  139. Sun Feb 21 12:49:26 2021 begin with 14035709 relations and 14268362 unique ideals
  140. Sun Feb 21 12:49:38 2021 reduce to 14013081 relations and 13717075 ideals in 6 passes
  141. Sun Feb 21 12:49:38 2021 max relations containing the same ideal: 90
  142. Sun Feb 21 12:49:50 2021 relations with 0 large ideals: 875
  143. Sun Feb 21 12:49:50 2021 relations with 1 large ideals: 2206
  144. Sun Feb 21 12:49:50 2021 relations with 2 large ideals: 36067
  145. Sun Feb 21 12:49:50 2021 relations with 3 large ideals: 267528
  146. Sun Feb 21 12:49:50 2021 relations with 4 large ideals: 1071713
  147. Sun Feb 21 12:49:50 2021 relations with 5 large ideals: 2558842
  148. Sun Feb 21 12:49:50 2021 relations with 6 large ideals: 3798687
  149. Sun Feb 21 12:49:50 2021 relations with 7+ large ideals: 6277163
  150. Sun Feb 21 12:49:50 2021 commencing 2-way merge
  151. Sun Feb 21 12:50:05 2021 reduce to 9094198 relation sets and 8798192 unique ideals
  152. Sun Feb 21 12:50:05 2021 commencing full merge
  153. Sun Feb 21 12:54:39 2021 memory use: 1098.6 MB
  154. Sun Feb 21 12:54:41 2021 found 4073759 cycles, need 4050392
  155. Sun Feb 21 12:54:41 2021 weight of 4050392 cycles is about 445808646 (110.07/cycle)
  156. Sun Feb 21 12:54:41 2021 distribution of cycle lengths:
  157. Sun Feb 21 12:54:41 2021 1 relations: 267007
  158. Sun Feb 21 12:54:41 2021 2 relations: 296005
  159. Sun Feb 21 12:54:41 2021 3 relations: 312765
  160. Sun Feb 21 12:54:41 2021 4 relations: 308259
  161. Sun Feb 21 12:54:41 2021 5 relations: 306550
  162. Sun Feb 21 12:54:41 2021 6 relations: 295994
  163. Sun Feb 21 12:54:42 2021 7 relations: 284198
  164. Sun Feb 21 12:54:42 2021 8 relations: 267964
  165. Sun Feb 21 12:54:42 2021 9 relations: 249592
  166. Sun Feb 21 12:54:42 2021 10+ relations: 1462058
  167. Sun Feb 21 12:54:42 2021 heaviest cycle: 28 relations
  168. Sun Feb 21 12:54:44 2021 commencing cycle optimization
  169. Sun Feb 21 12:54:52 2021 start with 33354387 relations
  170. Sun Feb 21 12:56:37 2021 pruned 1444027 relations
  171. Sun Feb 21 12:56:37 2021 memory use: 918.7 MB
  172. Sun Feb 21 12:56:37 2021 distribution of cycle lengths:
  173. Sun Feb 21 12:56:37 2021 1 relations: 267007
  174. Sun Feb 21 12:56:37 2021 2 relations: 304356
  175. Sun Feb 21 12:56:37 2021 3 relations: 326991
  176. Sun Feb 21 12:56:37 2021 4 relations: 320754
  177. Sun Feb 21 12:56:37 2021 5 relations: 320939
  178. Sun Feb 21 12:56:37 2021 6 relations: 309199
  179. Sun Feb 21 12:56:37 2021 7 relations: 297007
  180. Sun Feb 21 12:56:37 2021 8 relations: 278544
  181. Sun Feb 21 12:56:37 2021 9 relations: 258996
  182. Sun Feb 21 12:56:37 2021 10+ relations: 1366599
  183. Sun Feb 21 12:56:37 2021 heaviest cycle: 28 relations
  184. Sun Feb 21 12:56:45 2021 RelProcTime: 1857
  185. Sun Feb 21 12:56:45 2021
  186. Sun Feb 21 12:56:45 2021 commencing linear algebra
  187. Sun Feb 21 12:56:46 2021 read 4050392 cycles
  188. Sun Feb 21 12:56:58 2021 cycles contain 13846552 unique relations
  189. Sun Feb 21 12:58:14 2021 read 13846552 relations
  190. Sun Feb 21 12:58:48 2021 using 20 quadratic characters above 4294917295
  191. Sun Feb 21 12:59:43 2021 building initial matrix
  192. Sun Feb 21 13:02:58 2021 memory use: 1882.2 MB
  193. Sun Feb 21 13:03:02 2021 read 4050392 cycles
  194. Sun Feb 21 13:03:03 2021 matrix is 4050215 x 4050392 (1769.6 MB) with weight 546538110 (134.93/col)
  195. Sun Feb 21 13:03:03 2021 sparse part has weight 415278203 (102.53/col)
  196. Sun Feb 21 13:04:02 2021 filtering completed in 2 passes
  197. Sun Feb 21 13:04:03 2021 matrix is 4050051 x 4050228 (1769.6 MB) with weight 546530113 (134.94/col)
  198. Sun Feb 21 13:04:03 2021 sparse part has weight 415275843 (102.53/col)
  199. Sun Feb 21 13:04:18 2021 matrix starts at (0, 0)
  200. Sun Feb 21 13:04:19 2021 matrix is 4050051 x 4050228 (1769.6 MB) with weight 546530113 (134.94/col)
  201. Sun Feb 21 13:04:19 2021 sparse part has weight 415275843 (102.53/col)
  202. Sun Feb 21 13:04:19 2021 saving the first 48 matrix rows for later
  203. Sun Feb 21 13:04:21 2021 matrix includes 64 packed rows
  204. Sun Feb 21 13:04:22 2021 matrix is 4050003 x 4050228 (1723.3 MB) with weight 461562809 (113.96/col)
  205. Sun Feb 21 13:04:22 2021 sparse part has weight 411260952 (101.54/col)
  206. Sun Feb 21 13:04:22 2021 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  207. Sun Feb 21 13:04:41 2021 commencing Lanczos iteration (6 threads)
  208. Sun Feb 21 13:04:41 2021 memory use: 1417.1 MB
  209. Sun Feb 21 13:05:03 2021 linear algebra at 0.0%, ETA 15h32m
  210. Sun Feb 21 13:05:11 2021 checkpointing every 260000 dimensions
  211. Mon Feb 22 04:31:08 2021 lanczos halted after 64052 iterations (dim = 4049998)
  212. Mon Feb 22 04:31:14 2021 recovered 26 nontrivial dependencies
  213. Mon Feb 22 04:31:15 2021 BLanczosTime: 56070
  214. Mon Feb 22 04:31:15 2021
  215. Mon Feb 22 04:31:15 2021 commencing square root phase
  216. Mon Feb 22 04:31:15 2021 handling dependencies 1 to 64
  217. Mon Feb 22 04:31:15 2021 reading relations for dependency 1
  218. Mon Feb 22 04:31:16 2021 read 2025446 cycles
  219. Mon Feb 22 04:31:20 2021 cycles contain 6922956 unique relations
  220. Mon Feb 22 04:32:03 2021 read 6922956 relations
  221. Mon Feb 22 04:32:41 2021 multiplying 6922956 relations
  222. Mon Feb 22 04:39:05 2021 multiply complete, coefficients have about 373.37 million bits
  223. Mon Feb 22 04:39:09 2021 initial square root is modulo 5006923
  224. Mon Feb 22 04:47:29 2021 GCD is 1, no factor found
  225. Mon Feb 22 04:47:29 2021 reading relations for dependency 2
  226. Mon Feb 22 04:47:29 2021 read 2026024 cycles
  227. Mon Feb 22 04:47:34 2021 cycles contain 6923414 unique relations
  228. Mon Feb 22 04:48:16 2021 read 6923414 relations
  229. Mon Feb 22 04:48:58 2021 multiplying 6923414 relations
  230. Mon Feb 22 04:55:42 2021 multiply complete, coefficients have about 373.41 million bits
  231. Mon Feb 22 04:55:45 2021 initial square root is modulo 5014687
  232. Mon Feb 22 05:04:08 2021 GCD is N, no factor found
  233. Mon Feb 22 05:04:08 2021 reading relations for dependency 3
  234. Mon Feb 22 05:04:09 2021 read 2024925 cycles
  235. Mon Feb 22 05:04:14 2021 cycles contain 6921160 unique relations
  236. Mon Feb 22 05:04:55 2021 read 6921160 relations
  237. Mon Feb 22 05:05:33 2021 multiplying 6921160 relations
  238. Mon Feb 22 05:12:02 2021 multiply complete, coefficients have about 373.28 million bits
  239. Mon Feb 22 05:12:05 2021 initial square root is modulo 4988369
  240. Mon Feb 22 05:20:26 2021 GCD is N, no factor found
  241. Mon Feb 22 05:20:26 2021 reading relations for dependency 4
  242. Mon Feb 22 05:20:27 2021 read 2025649 cycles
  243. Mon Feb 22 05:20:32 2021 cycles contain 6925266 unique relations
  244. Mon Feb 22 05:21:12 2021 read 6925266 relations
  245. Mon Feb 22 05:21:50 2021 multiplying 6925266 relations
  246. Mon Feb 22 05:28:16 2021 multiply complete, coefficients have about 373.51 million bits
  247. Mon Feb 22 05:28:19 2021 initial square root is modulo 5035319
  248. Mon Feb 22 05:36:33 2021 GCD is N, no factor found
  249. Mon Feb 22 05:36:33 2021 reading relations for dependency 5
  250. Mon Feb 22 05:36:33 2021 read 2024650 cycles
  251. Mon Feb 22 05:36:39 2021 cycles contain 6921582 unique relations
  252. Mon Feb 22 05:37:21 2021 read 6921582 relations
  253. Mon Feb 22 05:38:02 2021 multiplying 6921582 relations
  254. Mon Feb 22 05:44:39 2021 multiply complete, coefficients have about 373.31 million bits
  255. Mon Feb 22 05:44:42 2021 initial square root is modulo 4993237
  256. Mon Feb 22 05:52:51 2021 sqrtTime: 4896
  257. Mon Feb 22 05:52:51 2021 p69 factor: 145092916850844429370568127261385149761122409824646431676396794567411
  258. Mon Feb 22 05:52:51 2021 p88 factor: 4371062387047418315188446922912258338947879445424639279413275963371855760909636397199627
  259. Mon Feb 22 05:52:51 2021 elapsed time 17:27:04
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