fivemack

11^241-4^241 linear algebra log

Jul 16th, 2019
106
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  1. Tue Jul 9 09:06:22 2019
  2. Tue Jul 9 09:06:22 2019
  3. Tue Jul 9 09:06:22 2019 Msieve v. 1.53 (SVN 993)
  4. Tue Jul 9 09:06:22 2019 random seeds: b4225d2a 00243b1f
  5. Tue Jul 9 09:06:22 2019 factoring 6735301810664568503794210854000252477106772441599446822564926208204051626999756284124125047362448914949992711740098012963879562624027126728765107919068848671544209020374621971695750563131475852678752167139934872693628291583005512800751126179 (241 digits)
  6. Tue Jul 9 09:06:24 2019 no P-1/P+1/ECM available, skipping
  7. Tue Jul 9 09:06:24 2019 commencing number field sieve (241-digit input)
  8. Tue Jul 9 09:06:24 2019 R0: 452592555681759518058893560348969204658401
  9. Tue Jul 9 09:06:24 2019 R1: -1208925819614629174706176
  10. Tue Jul 9 09:06:24 2019 A0: -4
  11. Tue Jul 9 09:06:24 2019 A1: 0
  12. Tue Jul 9 09:06:24 2019 A2: 0
  13. Tue Jul 9 09:06:24 2019 A3: 0
  14. Tue Jul 9 09:06:24 2019 A4: 0
  15. Tue Jul 9 09:06:24 2019 A5: 0
  16. Tue Jul 9 09:06:24 2019 A6: 11
  17. Tue Jul 9 09:06:24 2019 skew 0.84, size 3.003e-12, alpha 0.148, combined = 2.587e-13 rroots = 2
  18. Tue Jul 9 09:06:24 2019
  19. Tue Jul 9 09:06:24 2019 commencing relation filtering
  20. Tue Jul 9 09:06:24 2019 setting target matrix density to 70.0
  21. Tue Jul 9 09:06:24 2019 estimated available RAM is 95375.2 MB
  22. Tue Jul 9 09:06:24 2019 commencing duplicate removal, pass 1
  23. 3 errors
  24. Tue Jul 9 09:43:36 2019 skipped 5 relations with composite factors
  25. Tue Jul 9 09:43:36 2019 found 8047407 hash collisions in 191359438 relations
  26. Tue Jul 9 09:44:00 2019 added 1218929 free relations
  27. Tue Jul 9 09:44:00 2019 commencing duplicate removal, pass 2
  28. Tue Jul 9 09:45:36 2019 found 0 duplicates and 192578367 unique relations
  29. Tue Jul 9 09:45:36 2019 memory use: 522.4 MB
  30. Tue Jul 9 09:45:36 2019 reading ideals above 720000
  31. Tue Jul 9 09:45:36 2019 commencing singleton removal, initial pass
  32. Tue Jul 9 10:31:52 2019 memory use: 5512.0 MB
  33. Tue Jul 9 10:31:53 2019 reading all ideals from disk
  34. Tue Jul 9 10:32:00 2019 memory use: 7662.1 MB
  35. Tue Jul 9 10:32:43 2019 keeping 178297408 ideals with weight <= 200, target excess is 956595
  36. Tue Jul 9 10:33:35 2019 commencing in-memory singleton removal
  37. Tue Jul 9 10:34:03 2019 begin with 192578367 relations and 178297408 unique ideals
  38. Tue Jul 9 10:40:07 2019 reduce to 126264709 relations and 105332482 ideals in 15 passes
  39. Tue Jul 9 10:40:07 2019 max relations containing the same ideal: 160
  40. Tue Jul 9 10:41:54 2019 removing 11452285 relations and 9452285 ideals in 2000000 cliques
  41. Tue Jul 9 10:42:01 2019 commencing in-memory singleton removal
  42. Tue Jul 9 10:42:17 2019 begin with 114812424 relations and 105332482 unique ideals
  43. Tue Jul 9 10:44:54 2019 reduce to 113948289 relations and 94997749 ideals in 8 passes
  44. Tue Jul 9 10:44:54 2019 max relations containing the same ideal: 150
  45. Tue Jul 9 10:46:30 2019 removing 8760913 relations and 6760913 ideals in 2000000 cliques
  46. Tue Jul 9 10:46:35 2019 commencing in-memory singleton removal
  47. Tue Jul 9 10:46:50 2019 begin with 105187376 relations and 94997749 unique ideals
  48. Tue Jul 9 10:48:56 2019 reduce to 104615771 relations and 87654854 ideals in 7 passes
  49. Tue Jul 9 10:48:56 2019 max relations containing the same ideal: 144
  50. Tue Jul 9 10:50:25 2019 removing 7957654 relations and 5957654 ideals in 2000000 cliques
  51. Tue Jul 9 10:50:31 2019 commencing in-memory singleton removal
  52. Tue Jul 9 10:50:44 2019 begin with 96658117 relations and 87654854 unique ideals
  53. Tue Jul 9 10:52:53 2019 reduce to 96148899 relations and 81178553 ideals in 8 passes
  54. Tue Jul 9 10:52:53 2019 max relations containing the same ideal: 136
  55. Tue Jul 9 10:54:14 2019 removing 7558059 relations and 5558059 ideals in 2000000 cliques
  56. Tue Jul 9 10:54:19 2019 commencing in-memory singleton removal
  57. Tue Jul 9 10:54:31 2019 begin with 88590840 relations and 81178553 unique ideals
  58. Tue Jul 9 10:56:14 2019 reduce to 88104585 relations and 75124730 ideals in 7 passes
  59. Tue Jul 9 10:56:14 2019 max relations containing the same ideal: 128
  60. Tue Jul 9 10:57:30 2019 removing 7324950 relations and 5324950 ideals in 2000000 cliques
  61. Tue Jul 9 10:57:35 2019 commencing in-memory singleton removal
  62. Tue Jul 9 10:57:46 2019 begin with 80779635 relations and 75124730 unique ideals
  63. Tue Jul 9 10:59:18 2019 reduce to 80290516 relations and 69300790 ideals in 7 passes
  64. Tue Jul 9 10:59:18 2019 max relations containing the same ideal: 121
  65. Tue Jul 9 11:00:28 2019 removing 7173274 relations and 5173274 ideals in 2000000 cliques
  66. Tue Jul 9 11:00:32 2019 commencing in-memory singleton removal
  67. Tue Jul 9 11:00:42 2019 begin with 73117242 relations and 69300790 unique ideals
  68. Tue Jul 9 11:02:04 2019 reduce to 72615718 relations and 63614933 ideals in 7 passes
  69. Tue Jul 9 11:02:04 2019 max relations containing the same ideal: 111
  70. Tue Jul 9 11:03:07 2019 removing 7085934 relations and 5085934 ideals in 2000000 cliques
  71. Tue Jul 9 11:03:11 2019 commencing in-memory singleton removal
  72. Tue Jul 9 11:03:20 2019 begin with 65529784 relations and 63614933 unique ideals
  73. Tue Jul 9 11:04:32 2019 reduce to 65002170 relations and 57988530 ideals in 7 passes
  74. Tue Jul 9 11:04:32 2019 max relations containing the same ideal: 105
  75. Tue Jul 9 11:05:29 2019 removing 7030455 relations and 5030455 ideals in 2000000 cliques
  76. Tue Jul 9 11:05:33 2019 commencing in-memory singleton removal
  77. Tue Jul 9 11:05:41 2019 begin with 57971715 relations and 57988530 unique ideals
  78. Tue Jul 9 11:06:44 2019 reduce to 57399836 relations and 52371030 ideals in 7 passes
  79. Tue Jul 9 11:06:44 2019 max relations containing the same ideal: 96
  80. Tue Jul 9 11:07:35 2019 removing 7001344 relations and 5001344 ideals in 2000000 cliques
  81. Tue Jul 9 11:07:39 2019 commencing in-memory singleton removal
  82. Tue Jul 9 11:07:45 2019 begin with 50398492 relations and 52371030 unique ideals
  83. Tue Jul 9 11:08:48 2019 reduce to 49763085 relations and 46715222 ideals in 8 passes
  84. Tue Jul 9 11:08:48 2019 max relations containing the same ideal: 90
  85. Tue Jul 9 11:09:32 2019 removing 6831868 relations and 4893656 ideals in 1938212 cliques
  86. Tue Jul 9 11:09:36 2019 commencing in-memory singleton removal
  87. Tue Jul 9 11:09:41 2019 begin with 42931217 relations and 46715222 unique ideals
  88. Tue Jul 9 11:10:33 2019 reduce to 42228780 relations and 41095525 ideals in 8 passes
  89. Tue Jul 9 11:10:33 2019 max relations containing the same ideal: 78
  90. Tue Jul 9 11:11:10 2019 removing 177649 relations and 154045 ideals in 23604 cliques
  91. Tue Jul 9 11:11:12 2019 commencing in-memory singleton removal
  92. Tue Jul 9 11:11:17 2019 begin with 42051131 relations and 41095525 unique ideals
  93. Tue Jul 9 11:11:43 2019 reduce to 42050641 relations and 40940989 ideals in 4 passes
  94. Tue Jul 9 11:11:43 2019 max relations containing the same ideal: 78
  95. Tue Jul 9 11:11:55 2019 relations with 0 large ideals: 36029
  96. Tue Jul 9 11:11:55 2019 relations with 1 large ideals: 20636
  97. Tue Jul 9 11:11:55 2019 relations with 2 large ideals: 251728
  98. Tue Jul 9 11:11:55 2019 relations with 3 large ideals: 1505079
  99. Tue Jul 9 11:11:55 2019 relations with 4 large ideals: 4865671
  100. Tue Jul 9 11:11:55 2019 relations with 5 large ideals: 9385741
  101. Tue Jul 9 11:11:55 2019 relations with 6 large ideals: 11307876
  102. Tue Jul 9 11:11:55 2019 relations with 7+ large ideals: 14677881
  103. Tue Jul 9 11:11:55 2019 commencing 2-way merge
  104. Tue Jul 9 11:12:40 2019 reduce to 27539424 relation sets and 26429772 unique ideals
  105. Tue Jul 9 11:12:40 2019 commencing full merge
  106. Tue Jul 9 11:24:22 2019 memory use: 3195.3 MB
  107. Tue Jul 9 11:24:27 2019 found 14776277 cycles, need 14623972
  108. Tue Jul 9 11:24:35 2019 weight of 14623972 cycles is about 1023771162 (70.01/cycle)
  109. Tue Jul 9 11:24:35 2019 distribution of cycle lengths:
  110. Tue Jul 9 11:24:35 2019 1 relations: 1690372
  111. Tue Jul 9 11:24:35 2019 2 relations: 1803663
  112. Tue Jul 9 11:24:35 2019 3 relations: 1809471
  113. Tue Jul 9 11:24:35 2019 4 relations: 1694751
  114. Tue Jul 9 11:24:35 2019 5 relations: 1565566
  115. Tue Jul 9 11:24:35 2019 6 relations: 1375345
  116. Tue Jul 9 11:24:35 2019 7 relations: 1177758
  117. Tue Jul 9 11:24:35 2019 8 relations: 958830
  118. Tue Jul 9 11:24:35 2019 9 relations: 750587
  119. Tue Jul 9 11:24:35 2019 10+ relations: 1797629
  120. Tue Jul 9 11:24:35 2019 heaviest cycle: 19 relations
  121. Tue Jul 9 11:24:44 2019 commencing cycle optimization
  122. Tue Jul 9 11:25:19 2019 start with 77339980 relations
  123. Tue Jul 9 11:28:13 2019 pruned 2011117 relations
  124. Tue Jul 9 11:28:15 2019 memory use: 2527.3 MB
  125. Tue Jul 9 11:28:15 2019 distribution of cycle lengths:
  126. Tue Jul 9 11:28:15 2019 1 relations: 1690372
  127. Tue Jul 9 11:28:15 2019 2 relations: 1841044
  128. Tue Jul 9 11:28:15 2019 3 relations: 1875256
  129. Tue Jul 9 11:28:15 2019 4 relations: 1741172
  130. Tue Jul 9 11:28:15 2019 5 relations: 1611435
  131. Tue Jul 9 11:28:15 2019 6 relations: 1402907
  132. Tue Jul 9 11:28:15 2019 7 relations: 1191109
  133. Tue Jul 9 11:28:15 2019 8 relations: 953716
  134. Tue Jul 9 11:28:15 2019 9 relations: 731888
  135. Tue Jul 9 11:28:15 2019 10+ relations: 1585073
  136. Tue Jul 9 11:28:15 2019 heaviest cycle: 19 relations
  137. Tue Jul 9 11:28:54 2019 RelProcTime: 8550
  138. Tue Jul 9 11:28:54 2019 elapsed time 02:22:32
  139. Tue Jul 9 11:28:54 2019
  140. Tue Jul 9 11:28:54 2019
  141. Tue Jul 9 11:28:54 2019 Msieve v. 1.53 (SVN 993)
  142. Tue Jul 9 11:28:54 2019 random seeds: cd53c62a b9b3570a
  143. Tue Jul 9 11:28:54 2019 factoring 6735301810664568503794210854000252477106772441599446822564926208204051626999756284124125047362448914949992711740098012963879562624027126728765107919068848671544209020374621971695750563131475852678752167139934872693628291583005512800751126179 (241 digits)
  144. Tue Jul 9 11:28:56 2019 no P-1/P+1/ECM available, skipping
  145. Tue Jul 9 11:28:56 2019 commencing number field sieve (241-digit input)
  146. Tue Jul 9 11:28:56 2019 R0: 452592555681759518058893560348969204658401
  147. Tue Jul 9 11:28:56 2019 R1: -1208925819614629174706176
  148. Tue Jul 9 11:28:56 2019 A0: -4
  149. Tue Jul 9 11:28:56 2019 A1: 0
  150. Tue Jul 9 11:28:56 2019 A2: 0
  151. Tue Jul 9 11:28:56 2019 A3: 0
  152. Tue Jul 9 11:28:56 2019 A4: 0
  153. Tue Jul 9 11:28:56 2019 A5: 0
  154. Tue Jul 9 11:28:56 2019 A6: 11
  155. Tue Jul 9 11:28:56 2019 skew 0.84, size 3.003e-12, alpha 0.148, combined = 2.587e-13 rroots = 2
  156. Tue Jul 9 11:28:56 2019
  157. Tue Jul 9 11:28:56 2019 commencing relation filtering
  158. Tue Jul 9 11:28:56 2019 setting target matrix density to 134.0
  159. Tue Jul 9 11:28:56 2019 estimated available RAM is 95375.2 MB
  160. Tue Jul 9 11:28:56 2019 commencing duplicate removal, pass 1
  161. 3 errors
  162. Tue Jul 9 12:06:27 2019 skipped 5 relations with composite factors
  163. Tue Jul 9 12:06:27 2019 found 8146410 hash collisions in 192578367 relations
  164. Tue Jul 9 12:06:45 2019 commencing duplicate removal, pass 2
  165. Tue Jul 9 12:08:28 2019 found 0 duplicates and 192578367 unique relations
  166. Tue Jul 9 12:08:28 2019 memory use: 522.4 MB
  167. Tue Jul 9 12:08:28 2019 reading ideals above 720000
  168. Tue Jul 9 12:08:29 2019 commencing singleton removal, initial pass
  169. Tue Jul 9 12:51:01 2019 memory use: 5512.0 MB
  170. Tue Jul 9 12:51:01 2019 reading all ideals from disk
  171. Tue Jul 9 12:51:08 2019 memory use: 7662.1 MB
  172. Tue Jul 9 12:51:50 2019 keeping 178297408 ideals with weight <= 200, target excess is 956595
  173. Tue Jul 9 12:52:40 2019 commencing in-memory singleton removal
  174. Tue Jul 9 12:53:10 2019 begin with 192578367 relations and 178297408 unique ideals
  175. Tue Jul 9 12:59:20 2019 reduce to 126264709 relations and 105332482 ideals in 15 passes
  176. Tue Jul 9 12:59:20 2019 max relations containing the same ideal: 160
  177. Tue Jul 9 13:01:07 2019 removing 11452285 relations and 9452285 ideals in 2000000 cliques
  178. Tue Jul 9 13:01:14 2019 commencing in-memory singleton removal
  179. Tue Jul 9 13:01:31 2019 begin with 114812424 relations and 105332482 unique ideals
  180. Tue Jul 9 13:04:12 2019 reduce to 113948289 relations and 94997749 ideals in 8 passes
  181. Tue Jul 9 13:04:12 2019 max relations containing the same ideal: 150
  182. Tue Jul 9 13:05:54 2019 removing 8760913 relations and 6760913 ideals in 2000000 cliques
  183. Tue Jul 9 13:06:00 2019 commencing in-memory singleton removal
  184. Tue Jul 9 13:06:15 2019 begin with 105187376 relations and 94997749 unique ideals
  185. Tue Jul 9 13:08:23 2019 reduce to 104615771 relations and 87654854 ideals in 7 passes
  186. Tue Jul 9 13:08:23 2019 max relations containing the same ideal: 144
  187. Tue Jul 9 13:09:54 2019 removing 7957654 relations and 5957654 ideals in 2000000 cliques
  188. Tue Jul 9 13:09:59 2019 commencing in-memory singleton removal
  189. Tue Jul 9 13:10:13 2019 begin with 96658117 relations and 87654854 unique ideals
  190. Tue Jul 9 13:12:25 2019 reduce to 96148899 relations and 81178553 ideals in 8 passes
  191. Tue Jul 9 13:12:25 2019 max relations containing the same ideal: 136
  192. Tue Jul 9 13:13:51 2019 removing 7558059 relations and 5558059 ideals in 2000000 cliques
  193. Tue Jul 9 13:13:57 2019 commencing in-memory singleton removal
  194. Tue Jul 9 13:14:09 2019 begin with 88590840 relations and 81178553 unique ideals
  195. Tue Jul 9 13:15:55 2019 reduce to 88104585 relations and 75124730 ideals in 7 passes
  196. Tue Jul 9 13:15:55 2019 max relations containing the same ideal: 128
  197. Tue Jul 9 13:17:14 2019 removing 7324950 relations and 5324950 ideals in 2000000 cliques
  198. Tue Jul 9 13:17:19 2019 commencing in-memory singleton removal
  199. Tue Jul 9 13:17:29 2019 begin with 80779635 relations and 75124730 unique ideals
  200. Tue Jul 9 13:19:04 2019 reduce to 80290516 relations and 69300790 ideals in 7 passes
  201. Tue Jul 9 13:19:04 2019 max relations containing the same ideal: 121
  202. Tue Jul 9 13:20:15 2019 removing 7173274 relations and 5173274 ideals in 2000000 cliques
  203. Tue Jul 9 13:20:19 2019 commencing in-memory singleton removal
  204. Tue Jul 9 13:20:30 2019 begin with 73117242 relations and 69300790 unique ideals
  205. Tue Jul 9 13:21:54 2019 reduce to 72615718 relations and 63614933 ideals in 7 passes
  206. Tue Jul 9 13:21:54 2019 max relations containing the same ideal: 111
  207. Tue Jul 9 13:23:01 2019 removing 7085934 relations and 5085934 ideals in 2000000 cliques
  208. Tue Jul 9 13:23:06 2019 commencing in-memory singleton removal
  209. Tue Jul 9 13:23:14 2019 begin with 65529784 relations and 63614933 unique ideals
  210. Tue Jul 9 13:24:29 2019 reduce to 65002170 relations and 57988530 ideals in 7 passes
  211. Tue Jul 9 13:24:29 2019 max relations containing the same ideal: 105
  212. Tue Jul 9 13:25:28 2019 removing 7030455 relations and 5030455 ideals in 2000000 cliques
  213. Tue Jul 9 13:25:31 2019 commencing in-memory singleton removal
  214. Tue Jul 9 13:25:39 2019 begin with 57971715 relations and 57988530 unique ideals
  215. Tue Jul 9 13:26:42 2019 reduce to 57399836 relations and 52371030 ideals in 7 passes
  216. Tue Jul 9 13:26:42 2019 max relations containing the same ideal: 96
  217. Tue Jul 9 13:27:34 2019 removing 7001344 relations and 5001344 ideals in 2000000 cliques
  218. Tue Jul 9 13:27:38 2019 commencing in-memory singleton removal
  219. Tue Jul 9 13:27:44 2019 begin with 50398492 relations and 52371030 unique ideals
  220. Tue Jul 9 13:28:47 2019 reduce to 49763085 relations and 46715222 ideals in 8 passes
  221. Tue Jul 9 13:28:47 2019 max relations containing the same ideal: 90
  222. Tue Jul 9 13:29:33 2019 removing 6831868 relations and 4893656 ideals in 1938212 cliques
  223. Tue Jul 9 13:29:36 2019 commencing in-memory singleton removal
  224. Tue Jul 9 13:29:42 2019 begin with 42931217 relations and 46715222 unique ideals
  225. Tue Jul 9 13:30:33 2019 reduce to 42228780 relations and 41095525 ideals in 8 passes
  226. Tue Jul 9 13:30:33 2019 max relations containing the same ideal: 78
  227. Tue Jul 9 13:31:14 2019 removing 177649 relations and 154045 ideals in 23604 cliques
  228. Tue Jul 9 13:31:16 2019 commencing in-memory singleton removal
  229. Tue Jul 9 13:31:21 2019 begin with 42051131 relations and 41095525 unique ideals
  230. Tue Jul 9 13:31:46 2019 reduce to 42050641 relations and 40940989 ideals in 4 passes
  231. Tue Jul 9 13:31:46 2019 max relations containing the same ideal: 78
  232. Tue Jul 9 13:31:59 2019 relations with 0 large ideals: 36029
  233. Tue Jul 9 13:31:59 2019 relations with 1 large ideals: 20636
  234. Tue Jul 9 13:31:59 2019 relations with 2 large ideals: 251728
  235. Tue Jul 9 13:31:59 2019 relations with 3 large ideals: 1505079
  236. Tue Jul 9 13:31:59 2019 relations with 4 large ideals: 4865671
  237. Tue Jul 9 13:31:59 2019 relations with 5 large ideals: 9385741
  238. Tue Jul 9 13:31:59 2019 relations with 6 large ideals: 11307876
  239. Tue Jul 9 13:31:59 2019 relations with 7+ large ideals: 14677881
  240. Tue Jul 9 13:31:59 2019 commencing 2-way merge
  241. Tue Jul 9 13:32:51 2019 reduce to 27539424 relation sets and 26429772 unique ideals
  242. Tue Jul 9 13:32:51 2019 commencing full merge
  243. Tue Jul 9 14:16:10 2019 memory use: 1228.6 MB
  244. Tue Jul 9 14:16:11 2019 found 94113 cycles, need 6021295
  245. Tue Jul 9 14:16:11 2019 too few cycles, matrix probably cannot build
  246. Tue Jul 9 14:16:11 2019
  247. Tue Jul 9 14:16:11 2019
  248. Tue Jul 9 14:16:11 2019 Msieve v. 1.53 (SVN 993)
  249. Tue Jul 9 14:16:11 2019 random seeds: 57a7de5a c21ed7aa
  250. Tue Jul 9 14:16:11 2019 factoring 6735301810664568503794210854000252477106772441599446822564926208204051626999756284124125047362448914949992711740098012963879562624027126728765107919068848671544209020374621971695750563131475852678752167139934872693628291583005512800751126179 (241 digits)
  251. Tue Jul 9 14:16:13 2019 no P-1/P+1/ECM available, skipping
  252. Tue Jul 9 14:16:13 2019 commencing number field sieve (241-digit input)
  253. Tue Jul 9 14:16:13 2019 R0: 452592555681759518058893560348969204658401
  254. Tue Jul 9 14:16:13 2019 R1: -1208925819614629174706176
  255. Tue Jul 9 14:16:13 2019 A0: -4
  256. Tue Jul 9 14:16:13 2019 A1: 0
  257. Tue Jul 9 14:16:13 2019 A2: 0
  258. Tue Jul 9 14:16:13 2019 A3: 0
  259. Tue Jul 9 14:16:13 2019 A4: 0
  260. Tue Jul 9 14:16:13 2019 A5: 0
  261. Tue Jul 9 14:16:13 2019 A6: 11
  262. Tue Jul 9 14:16:13 2019 skew 0.84, size 3.003e-12, alpha 0.148, combined = 2.587e-13 rroots = 2
  263. Tue Jul 9 14:16:13 2019
  264. Tue Jul 9 14:16:13 2019 commencing relation filtering
  265. Tue Jul 9 14:16:13 2019 setting target matrix density to 102.0
  266. Tue Jul 9 14:16:13 2019 estimated available RAM is 95375.2 MB
  267. Tue Jul 9 14:16:13 2019 commencing duplicate removal, pass 1
  268. 3 errors
  269. Tue Jul 9 14:53:32 2019 skipped 5 relations with composite factors
  270. Tue Jul 9 14:53:32 2019 found 8146410 hash collisions in 192578367 relations
  271. Tue Jul 9 14:53:50 2019 commencing duplicate removal, pass 2
  272. Tue Jul 9 14:55:19 2019 found 0 duplicates and 192578367 unique relations
  273. Tue Jul 9 14:55:19 2019 memory use: 522.4 MB
  274. Tue Jul 9 14:55:19 2019 reading ideals above 720000
  275. Tue Jul 9 14:55:19 2019 commencing singleton removal, initial pass
  276. Tue Jul 9 15:38:13 2019 memory use: 5512.0 MB
  277. Tue Jul 9 15:38:13 2019 reading all ideals from disk
  278. Tue Jul 9 15:38:20 2019 memory use: 7662.1 MB
  279. Tue Jul 9 15:39:03 2019 keeping 178297408 ideals with weight <= 200, target excess is 956595
  280. Tue Jul 9 15:39:55 2019 commencing in-memory singleton removal
  281. Tue Jul 9 15:40:25 2019 begin with 192578367 relations and 178297408 unique ideals
  282. Tue Jul 9 15:46:39 2019 reduce to 126264709 relations and 105332482 ideals in 15 passes
  283. Tue Jul 9 15:46:39 2019 max relations containing the same ideal: 160
  284. Tue Jul 9 15:48:27 2019 removing 11452285 relations and 9452285 ideals in 2000000 cliques
  285. Tue Jul 9 15:48:33 2019 commencing in-memory singleton removal
  286. Tue Jul 9 15:48:50 2019 begin with 114812424 relations and 105332482 unique ideals
  287. Tue Jul 9 15:51:31 2019 reduce to 113948289 relations and 94997749 ideals in 8 passes
  288. Tue Jul 9 15:51:31 2019 max relations containing the same ideal: 150
  289. Tue Jul 9 15:53:09 2019 removing 8760913 relations and 6760913 ideals in 2000000 cliques
  290. Tue Jul 9 15:53:14 2019 commencing in-memory singleton removal
  291. Tue Jul 9 15:53:29 2019 begin with 105187376 relations and 94997749 unique ideals
  292. Tue Jul 9 15:55:38 2019 reduce to 104615771 relations and 87654854 ideals in 7 passes
  293. Tue Jul 9 15:55:38 2019 max relations containing the same ideal: 144
  294. Tue Jul 9 15:57:07 2019 removing 7957654 relations and 5957654 ideals in 2000000 cliques
  295. Tue Jul 9 15:57:12 2019 commencing in-memory singleton removal
  296. Tue Jul 9 15:57:26 2019 begin with 96658117 relations and 87654854 unique ideals
  297. Tue Jul 9 15:59:39 2019 reduce to 96148899 relations and 81178553 ideals in 8 passes
  298. Tue Jul 9 15:59:39 2019 max relations containing the same ideal: 136
  299. Tue Jul 9 16:01:01 2019 removing 7558059 relations and 5558059 ideals in 2000000 cliques
  300. Tue Jul 9 16:01:06 2019 commencing in-memory singleton removal
  301. Tue Jul 9 16:01:19 2019 begin with 88590840 relations and 81178553 unique ideals
  302. Tue Jul 9 16:03:04 2019 reduce to 88104585 relations and 75124730 ideals in 7 passes
  303. Tue Jul 9 16:03:04 2019 max relations containing the same ideal: 128
  304. Tue Jul 9 16:04:20 2019 removing 7324950 relations and 5324950 ideals in 2000000 cliques
  305. Tue Jul 9 16:04:24 2019 commencing in-memory singleton removal
  306. Tue Jul 9 16:04:36 2019 begin with 80779635 relations and 75124730 unique ideals
  307. Tue Jul 9 16:06:09 2019 reduce to 80290516 relations and 69300790 ideals in 7 passes
  308. Tue Jul 9 16:06:09 2019 max relations containing the same ideal: 121
  309. Tue Jul 9 16:07:18 2019 removing 7173274 relations and 5173274 ideals in 2000000 cliques
  310. Tue Jul 9 16:07:23 2019 commencing in-memory singleton removal
  311. Tue Jul 9 16:07:33 2019 begin with 73117242 relations and 69300790 unique ideals
  312. Tue Jul 9 16:08:56 2019 reduce to 72615718 relations and 63614933 ideals in 7 passes
  313. Tue Jul 9 16:08:56 2019 max relations containing the same ideal: 111
  314. Tue Jul 9 16:09:59 2019 removing 7085934 relations and 5085934 ideals in 2000000 cliques
  315. Tue Jul 9 16:10:04 2019 commencing in-memory singleton removal
  316. Tue Jul 9 16:10:13 2019 begin with 65529784 relations and 63614933 unique ideals
  317. Tue Jul 9 16:11:27 2019 reduce to 65002170 relations and 57988530 ideals in 7 passes
  318. Tue Jul 9 16:11:27 2019 max relations containing the same ideal: 105
  319. Tue Jul 9 16:12:24 2019 removing 7030455 relations and 5030455 ideals in 2000000 cliques
  320. Tue Jul 9 16:12:28 2019 commencing in-memory singleton removal
  321. Tue Jul 9 16:12:35 2019 begin with 57971715 relations and 57988530 unique ideals
  322. Tue Jul 9 16:13:39 2019 reduce to 57399836 relations and 52371030 ideals in 7 passes
  323. Tue Jul 9 16:13:39 2019 max relations containing the same ideal: 96
  324. Tue Jul 9 16:14:28 2019 removing 7001344 relations and 5001344 ideals in 2000000 cliques
  325. Tue Jul 9 16:14:32 2019 commencing in-memory singleton removal
  326. Tue Jul 9 16:14:39 2019 begin with 50398492 relations and 52371030 unique ideals
  327. Tue Jul 9 16:15:40 2019 reduce to 49763085 relations and 46715222 ideals in 8 passes
  328. Tue Jul 9 16:15:40 2019 max relations containing the same ideal: 90
  329. Tue Jul 9 16:16:23 2019 removing 6831868 relations and 4893656 ideals in 1938212 cliques
  330. Tue Jul 9 16:16:27 2019 commencing in-memory singleton removal
  331. Tue Jul 9 16:16:32 2019 begin with 42931217 relations and 46715222 unique ideals
  332. Tue Jul 9 16:17:24 2019 reduce to 42228780 relations and 41095525 ideals in 8 passes
  333. Tue Jul 9 16:17:24 2019 max relations containing the same ideal: 78
  334. Tue Jul 9 16:18:01 2019 removing 177649 relations and 154045 ideals in 23604 cliques
  335. Tue Jul 9 16:18:03 2019 commencing in-memory singleton removal
  336. Tue Jul 9 16:18:08 2019 begin with 42051131 relations and 41095525 unique ideals
  337. Tue Jul 9 16:18:32 2019 reduce to 42050641 relations and 40940989 ideals in 4 passes
  338. Tue Jul 9 16:18:32 2019 max relations containing the same ideal: 78
  339. Tue Jul 9 16:18:44 2019 relations with 0 large ideals: 36029
  340. Tue Jul 9 16:18:44 2019 relations with 1 large ideals: 20636
  341. Tue Jul 9 16:18:44 2019 relations with 2 large ideals: 251728
  342. Tue Jul 9 16:18:44 2019 relations with 3 large ideals: 1505079
  343. Tue Jul 9 16:18:44 2019 relations with 4 large ideals: 4865671
  344. Tue Jul 9 16:18:44 2019 relations with 5 large ideals: 9385741
  345. Tue Jul 9 16:18:44 2019 relations with 6 large ideals: 11307876
  346. Tue Jul 9 16:18:44 2019 relations with 7+ large ideals: 14677881
  347. Tue Jul 9 16:18:44 2019 commencing 2-way merge
  348. Tue Jul 9 16:19:28 2019 reduce to 27539424 relation sets and 26429772 unique ideals
  349. Tue Jul 9 16:19:28 2019 commencing full merge
  350. Tue Jul 9 16:36:47 2019 memory use: 3375.1 MB
  351. Tue Jul 9 16:36:52 2019 found 12949795 cycles, need 12837972
  352. Tue Jul 9 16:36:59 2019 weight of 12837972 cycles is about 1309780599 (102.02/cycle)
  353. Tue Jul 9 16:36:59 2019 distribution of cycle lengths:
  354. Tue Jul 9 16:36:59 2019 1 relations: 770857
  355. Tue Jul 9 16:36:59 2019 2 relations: 990567
  356. Tue Jul 9 16:36:59 2019 3 relations: 1099754
  357. Tue Jul 9 16:36:59 2019 4 relations: 1090897
  358. Tue Jul 9 16:36:59 2019 5 relations: 1075639
  359. Tue Jul 9 16:36:59 2019 6 relations: 1035553
  360. Tue Jul 9 16:36:59 2019 7 relations: 975904
  361. Tue Jul 9 16:36:59 2019 8 relations: 905189
  362. Tue Jul 9 16:36:59 2019 9 relations: 820668
  363. Tue Jul 9 16:36:59 2019 10+ relations: 4072944
  364. Tue Jul 9 16:36:59 2019 heaviest cycle: 27 relations
  365. Tue Jul 9 16:37:06 2019 commencing cycle optimization
  366. Tue Jul 9 16:37:46 2019 start with 98998791 relations
  367. Tue Jul 9 16:43:40 2019 pruned 3963954 relations
  368. Tue Jul 9 16:43:41 2019 memory use: 2759.2 MB
  369. Tue Jul 9 16:43:41 2019 distribution of cycle lengths:
  370. Tue Jul 9 16:43:41 2019 1 relations: 770857
  371. Tue Jul 9 16:43:41 2019 2 relations: 1015199
  372. Tue Jul 9 16:43:41 2019 3 relations: 1146894
  373. Tue Jul 9 16:43:41 2019 4 relations: 1133607
  374. Tue Jul 9 16:43:41 2019 5 relations: 1125323
  375. Tue Jul 9 16:43:41 2019 6 relations: 1077496
  376. Tue Jul 9 16:43:41 2019 7 relations: 1016791
  377. Tue Jul 9 16:43:41 2019 8 relations: 936171
  378. Tue Jul 9 16:43:41 2019 9 relations: 844511
  379. Tue Jul 9 16:43:42 2019 10+ relations: 3771123
  380. Tue Jul 9 16:43:42 2019 heaviest cycle: 27 relations
  381. Tue Jul 9 16:44:21 2019 RelProcTime: 8888
  382. Tue Jul 9 16:44:21 2019 elapsed time 02:28:10
  383. Tue Jul 9 16:44:22 2019
  384. Tue Jul 9 16:44:22 2019
  385. Tue Jul 9 16:44:22 2019 Msieve v. 1.53 (SVN 993)
  386. Tue Jul 9 16:44:22 2019 random seeds: e181a350 370e6cde
  387. Tue Jul 9 16:44:22 2019 factoring 6735301810664568503794210854000252477106772441599446822564926208204051626999756284124125047362448914949992711740098012963879562624027126728765107919068848671544209020374621971695750563131475852678752167139934872693628291583005512800751126179 (241 digits)
  388. Tue Jul 9 16:44:24 2019 no P-1/P+1/ECM available, skipping
  389. Tue Jul 9 16:44:24 2019 commencing number field sieve (241-digit input)
  390. Tue Jul 9 16:44:24 2019 R0: 452592555681759518058893560348969204658401
  391. Tue Jul 9 16:44:24 2019 R1: -1208925819614629174706176
  392. Tue Jul 9 16:44:24 2019 A0: -4
  393. Tue Jul 9 16:44:24 2019 A1: 0
  394. Tue Jul 9 16:44:24 2019 A2: 0
  395. Tue Jul 9 16:44:24 2019 A3: 0
  396. Tue Jul 9 16:44:24 2019 A4: 0
  397. Tue Jul 9 16:44:24 2019 A5: 0
  398. Tue Jul 9 16:44:24 2019 A6: 11
  399. Tue Jul 9 16:44:24 2019 skew 0.84, size 3.003e-12, alpha 0.148, combined = 2.587e-13 rroots = 2
  400. Tue Jul 9 16:44:24 2019
  401. Tue Jul 9 16:44:24 2019 commencing relation filtering
  402. Tue Jul 9 16:44:24 2019 setting target matrix density to 118.0
  403. Tue Jul 9 16:44:24 2019 estimated available RAM is 95375.2 MB
  404. Tue Jul 9 16:44:24 2019 commencing duplicate removal, pass 1
  405. 3 errors
  406. Tue Jul 9 17:20:37 2019 skipped 5 relations with composite factors
  407. Tue Jul 9 17:20:37 2019 found 8146410 hash collisions in 192578367 relations
  408. Tue Jul 9 17:20:54 2019 commencing duplicate removal, pass 2
  409. Tue Jul 9 17:22:11 2019 found 0 duplicates and 192578367 unique relations
  410. Tue Jul 9 17:22:11 2019 memory use: 522.4 MB
  411. Tue Jul 9 17:22:11 2019 reading ideals above 720000
  412. Tue Jul 9 17:22:11 2019 commencing singleton removal, initial pass
  413. Tue Jul 9 18:05:27 2019 memory use: 5512.0 MB
  414. Tue Jul 9 18:05:27 2019 reading all ideals from disk
  415. Tue Jul 9 18:05:35 2019 memory use: 7662.1 MB
  416. Tue Jul 9 18:06:17 2019 keeping 178297408 ideals with weight <= 200, target excess is 956595
  417. Tue Jul 9 18:07:07 2019 commencing in-memory singleton removal
  418. Tue Jul 9 18:07:36 2019 begin with 192578367 relations and 178297408 unique ideals
  419. Tue Jul 9 18:13:52 2019 reduce to 126264709 relations and 105332482 ideals in 15 passes
  420. Tue Jul 9 18:13:52 2019 max relations containing the same ideal: 160
  421. Tue Jul 9 18:15:51 2019 removing 11452285 relations and 9452285 ideals in 2000000 cliques
  422. Tue Jul 9 18:15:58 2019 commencing in-memory singleton removal
  423. Tue Jul 9 18:16:15 2019 begin with 114812424 relations and 105332482 unique ideals
  424. Tue Jul 9 18:19:02 2019 reduce to 113948289 relations and 94997749 ideals in 8 passes
  425. Tue Jul 9 18:19:02 2019 max relations containing the same ideal: 150
  426. Tue Jul 9 18:20:39 2019 removing 8760913 relations and 6760913 ideals in 2000000 cliques
  427. Tue Jul 9 18:20:45 2019 commencing in-memory singleton removal
  428. Tue Jul 9 18:21:00 2019 begin with 105187376 relations and 94997749 unique ideals
  429. Tue Jul 9 18:23:07 2019 reduce to 104615771 relations and 87654854 ideals in 7 passes
  430. Tue Jul 9 18:23:07 2019 max relations containing the same ideal: 144
  431. Tue Jul 9 18:24:36 2019 removing 7957654 relations and 5957654 ideals in 2000000 cliques
  432. Tue Jul 9 18:24:41 2019 commencing in-memory singleton removal
  433. Tue Jul 9 18:24:55 2019 begin with 96658117 relations and 87654854 unique ideals
  434. Tue Jul 9 18:27:09 2019 reduce to 96148899 relations and 81178553 ideals in 8 passes
  435. Tue Jul 9 18:27:09 2019 max relations containing the same ideal: 136
  436. Tue Jul 9 18:28:31 2019 removing 7558059 relations and 5558059 ideals in 2000000 cliques
  437. Tue Jul 9 18:28:37 2019 commencing in-memory singleton removal
  438. Tue Jul 9 18:28:49 2019 begin with 88590840 relations and 81178553 unique ideals
  439. Tue Jul 9 18:30:31 2019 reduce to 88104585 relations and 75124730 ideals in 7 passes
  440. Tue Jul 9 18:30:31 2019 max relations containing the same ideal: 128
  441. Tue Jul 9 18:31:47 2019 removing 7324950 relations and 5324950 ideals in 2000000 cliques
  442. Tue Jul 9 18:31:52 2019 commencing in-memory singleton removal
  443. Tue Jul 9 18:32:03 2019 begin with 80779635 relations and 75124730 unique ideals
  444. Tue Jul 9 18:33:35 2019 reduce to 80290516 relations and 69300790 ideals in 7 passes
  445. Tue Jul 9 18:33:35 2019 max relations containing the same ideal: 121
  446. Tue Jul 9 18:34:43 2019 removing 7173274 relations and 5173274 ideals in 2000000 cliques
  447. Tue Jul 9 18:34:49 2019 commencing in-memory singleton removal
  448. Tue Jul 9 18:34:58 2019 begin with 73117242 relations and 69300790 unique ideals
  449. Tue Jul 9 18:36:23 2019 reduce to 72615718 relations and 63614933 ideals in 7 passes
  450. Tue Jul 9 18:36:23 2019 max relations containing the same ideal: 111
  451. Tue Jul 9 18:37:32 2019 removing 7085934 relations and 5085934 ideals in 2000000 cliques
  452. Tue Jul 9 18:37:36 2019 commencing in-memory singleton removal
  453. Tue Jul 9 18:37:44 2019 begin with 65529784 relations and 63614933 unique ideals
  454. Tue Jul 9 18:38:58 2019 reduce to 65002170 relations and 57988530 ideals in 7 passes
  455. Tue Jul 9 18:38:58 2019 max relations containing the same ideal: 105
  456. Tue Jul 9 18:40:03 2019 removing 7030455 relations and 5030455 ideals in 2000000 cliques
  457. Tue Jul 9 18:40:07 2019 commencing in-memory singleton removal
  458. Tue Jul 9 18:40:14 2019 begin with 57971715 relations and 57988530 unique ideals
  459. Tue Jul 9 18:41:18 2019 reduce to 57399836 relations and 52371030 ideals in 7 passes
  460. Tue Jul 9 18:41:18 2019 max relations containing the same ideal: 96
  461. Tue Jul 9 18:42:15 2019 removing 7001344 relations and 5001344 ideals in 2000000 cliques
  462. Tue Jul 9 18:42:19 2019 commencing in-memory singleton removal
  463. Tue Jul 9 18:42:25 2019 begin with 50398492 relations and 52371030 unique ideals
  464. Tue Jul 9 18:43:27 2019 reduce to 49763085 relations and 46715222 ideals in 8 passes
  465. Tue Jul 9 18:43:27 2019 max relations containing the same ideal: 90
  466. Tue Jul 9 18:44:17 2019 removing 6831868 relations and 4893656 ideals in 1938212 cliques
  467. Tue Jul 9 18:44:20 2019 commencing in-memory singleton removal
  468. Tue Jul 9 18:44:26 2019 begin with 42931217 relations and 46715222 unique ideals
  469. Tue Jul 9 18:45:18 2019 reduce to 42228780 relations and 41095525 ideals in 8 passes
  470. Tue Jul 9 18:45:18 2019 max relations containing the same ideal: 78
  471. Tue Jul 9 18:46:00 2019 removing 177649 relations and 154045 ideals in 23604 cliques
  472. Tue Jul 9 18:46:02 2019 commencing in-memory singleton removal
  473. Tue Jul 9 18:46:07 2019 begin with 42051131 relations and 41095525 unique ideals
  474. Tue Jul 9 18:46:35 2019 reduce to 42050641 relations and 40940989 ideals in 4 passes
  475. Tue Jul 9 18:46:35 2019 max relations containing the same ideal: 78
  476. Tue Jul 9 18:46:47 2019 relations with 0 large ideals: 36029
  477. Tue Jul 9 18:46:47 2019 relations with 1 large ideals: 20636
  478. Tue Jul 9 18:46:47 2019 relations with 2 large ideals: 251728
  479. Tue Jul 9 18:46:47 2019 relations with 3 large ideals: 1505079
  480. Tue Jul 9 18:46:47 2019 relations with 4 large ideals: 4865671
  481. Tue Jul 9 18:46:47 2019 relations with 5 large ideals: 9385741
  482. Tue Jul 9 18:46:47 2019 relations with 6 large ideals: 11307876
  483. Tue Jul 9 18:46:47 2019 relations with 7+ large ideals: 14677881
  484. Tue Jul 9 18:46:47 2019 commencing 2-way merge
  485. Tue Jul 9 18:47:46 2019 reduce to 27539424 relation sets and 26429772 unique ideals
  486. Tue Jul 9 18:47:46 2019 commencing full merge
  487. Tue Jul 9 19:11:11 2019 memory use: 3424.6 MB
  488. Tue Jul 9 19:11:16 2019 found 12297739 cycles, need 12265971
  489. Tue Jul 9 19:11:24 2019 weight of 12265971 cycles is about 1447742603 (118.03/cycle)
  490. Tue Jul 9 19:11:24 2019 distribution of cycle lengths:
  491. Tue Jul 9 19:11:24 2019 1 relations: 564167
  492. Tue Jul 9 19:11:24 2019 2 relations: 775749
  493. Tue Jul 9 19:11:24 2019 3 relations: 887973
  494. Tue Jul 9 19:11:24 2019 4 relations: 903746
  495. Tue Jul 9 19:11:24 2019 5 relations: 911235
  496. Tue Jul 9 19:11:24 2019 6 relations: 886303
  497. Tue Jul 9 19:11:24 2019 7 relations: 863252
  498. Tue Jul 9 19:11:24 2019 8 relations: 816528
  499. Tue Jul 9 19:11:24 2019 9 relations: 765174
  500. Tue Jul 9 19:11:24 2019 10+ relations: 4891844
  501. Tue Jul 9 19:11:24 2019 heaviest cycle: 28 relations
  502. Tue Jul 9 19:11:30 2019 commencing cycle optimization
  503. Tue Jul 9 19:12:15 2019 start with 109263433 relations
  504. Tue Jul 9 19:20:58 2019 pruned 5011526 relations
  505. Tue Jul 9 19:20:58 2019 memory use: 2862.5 MB
  506. Tue Jul 9 19:20:58 2019 distribution of cycle lengths:
  507. Tue Jul 9 19:20:58 2019 1 relations: 564167
  508. Tue Jul 9 19:20:58 2019 2 relations: 795721
  509. Tue Jul 9 19:20:58 2019 3 relations: 927434
  510. Tue Jul 9 19:20:58 2019 4 relations: 942164
  511. Tue Jul 9 19:20:58 2019 5 relations: 956576
  512. Tue Jul 9 19:20:58 2019 6 relations: 928831
  513. Tue Jul 9 19:20:58 2019 7 relations: 906184
  514. Tue Jul 9 19:20:58 2019 8 relations: 853101
  515. Tue Jul 9 19:20:58 2019 9 relations: 797850
  516. Tue Jul 9 19:20:58 2019 10+ relations: 4593943
  517. Tue Jul 9 19:20:58 2019 heaviest cycle: 28 relations
  518. Tue Jul 9 19:21:43 2019 RelProcTime: 9439
  519. Tue Jul 9 19:21:43 2019 elapsed time 02:37:21
  520. Tue Jul 9 19:21:44 2019
  521. Tue Jul 9 19:21:44 2019
  522. Tue Jul 9 19:21:44 2019 Msieve v. 1.53 (SVN 993)
  523. Tue Jul 9 19:21:44 2019 random seeds: 7ab5c330 63c5392f
  524. Tue Jul 9 19:21:44 2019 factoring 6735301810664568503794210854000252477106772441599446822564926208204051626999756284124125047362448914949992711740098012963879562624027126728765107919068848671544209020374621971695750563131475852678752167139934872693628291583005512800751126179 (241 digits)
  525. Tue Jul 9 19:21:46 2019 no P-1/P+1/ECM available, skipping
  526. Tue Jul 9 19:21:46 2019 commencing number field sieve (241-digit input)
  527. Tue Jul 9 19:21:46 2019 R0: 452592555681759518058893560348969204658401
  528. Tue Jul 9 19:21:46 2019 R1: -1208925819614629174706176
  529. Tue Jul 9 19:21:46 2019 A0: -4
  530. Tue Jul 9 19:21:46 2019 A1: 0
  531. Tue Jul 9 19:21:46 2019 A2: 0
  532. Tue Jul 9 19:21:46 2019 A3: 0
  533. Tue Jul 9 19:21:46 2019 A4: 0
  534. Tue Jul 9 19:21:46 2019 A5: 0
  535. Tue Jul 9 19:21:46 2019 A6: 11
  536. Tue Jul 9 19:21:46 2019 skew 0.84, size 3.003e-12, alpha 0.148, combined = 2.587e-13 rroots = 2
  537. Tue Jul 9 19:21:46 2019
  538. Tue Jul 9 19:21:46 2019 commencing relation filtering
  539. Tue Jul 9 19:21:46 2019 setting target matrix density to 126.0
  540. Tue Jul 9 19:21:46 2019 estimated available RAM is 95375.2 MB
  541. Tue Jul 9 19:21:46 2019 commencing duplicate removal, pass 1
  542. 3 errors
  543. Tue Jul 9 19:59:15 2019 skipped 5 relations with composite factors
  544. Tue Jul 9 19:59:15 2019 found 8146410 hash collisions in 192578367 relations
  545. Tue Jul 9 19:59:33 2019 commencing duplicate removal, pass 2
  546. Tue Jul 9 20:01:05 2019 found 0 duplicates and 192578367 unique relations
  547. Tue Jul 9 20:01:05 2019 memory use: 522.4 MB
  548. Tue Jul 9 20:01:05 2019 reading ideals above 720000
  549. Tue Jul 9 20:01:05 2019 commencing singleton removal, initial pass
  550. Tue Jul 9 20:44:41 2019 memory use: 5512.0 MB
  551. Tue Jul 9 20:44:41 2019 reading all ideals from disk
  552. Tue Jul 9 20:44:49 2019 memory use: 7662.1 MB
  553. Tue Jul 9 20:45:34 2019 keeping 178297408 ideals with weight <= 200, target excess is 956595
  554. Tue Jul 9 20:46:27 2019 commencing in-memory singleton removal
  555. Tue Jul 9 20:46:58 2019 begin with 192578367 relations and 178297408 unique ideals
  556. Tue Jul 9 20:53:37 2019 reduce to 126264709 relations and 105332482 ideals in 15 passes
  557. Tue Jul 9 20:53:37 2019 max relations containing the same ideal: 160
  558. Tue Jul 9 20:55:31 2019 removing 11452285 relations and 9452285 ideals in 2000000 cliques
  559. Tue Jul 9 20:55:37 2019 commencing in-memory singleton removal
  560. Tue Jul 9 20:55:55 2019 begin with 114812424 relations and 105332482 unique ideals
  561. Tue Jul 9 20:58:34 2019 reduce to 113948289 relations and 94997749 ideals in 8 passes
  562. Tue Jul 9 20:58:34 2019 max relations containing the same ideal: 150
  563. Tue Jul 9 21:00:13 2019 removing 8760913 relations and 6760913 ideals in 2000000 cliques
  564. Tue Jul 9 21:00:19 2019 commencing in-memory singleton removal
  565. Tue Jul 9 21:00:34 2019 begin with 105187376 relations and 94997749 unique ideals
  566. Tue Jul 9 21:02:41 2019 reduce to 104615771 relations and 87654854 ideals in 7 passes
  567. Tue Jul 9 21:02:41 2019 max relations containing the same ideal: 144
  568. Tue Jul 9 21:04:12 2019 removing 7957654 relations and 5957654 ideals in 2000000 cliques
  569. Tue Jul 9 21:04:17 2019 commencing in-memory singleton removal
  570. Tue Jul 9 21:04:30 2019 begin with 96658117 relations and 87654854 unique ideals
  571. Tue Jul 9 21:06:42 2019 reduce to 96148899 relations and 81178553 ideals in 8 passes
  572. Tue Jul 9 21:06:42 2019 max relations containing the same ideal: 136
  573. Tue Jul 9 21:08:09 2019 removing 7558059 relations and 5558059 ideals in 2000000 cliques
  574. Tue Jul 9 21:08:14 2019 commencing in-memory singleton removal
  575. Tue Jul 9 21:08:26 2019 begin with 88590840 relations and 81178553 unique ideals
  576. Tue Jul 9 21:10:09 2019 reduce to 88104585 relations and 75124730 ideals in 7 passes
  577. Tue Jul 9 21:10:09 2019 max relations containing the same ideal: 128
  578. Tue Jul 9 21:11:27 2019 removing 7324950 relations and 5324950 ideals in 2000000 cliques
  579. Tue Jul 9 21:11:32 2019 commencing in-memory singleton removal
  580. Tue Jul 9 21:11:43 2019 begin with 80779635 relations and 75124730 unique ideals
  581. Tue Jul 9 21:13:16 2019 reduce to 80290516 relations and 69300790 ideals in 7 passes
  582. Tue Jul 9 21:13:16 2019 max relations containing the same ideal: 121
  583. Tue Jul 9 21:14:29 2019 removing 7173274 relations and 5173274 ideals in 2000000 cliques
  584. Tue Jul 9 21:14:33 2019 commencing in-memory singleton removal
  585. Tue Jul 9 21:14:43 2019 begin with 73117242 relations and 69300790 unique ideals
  586. Tue Jul 9 21:16:05 2019 reduce to 72615718 relations and 63614933 ideals in 7 passes
  587. Tue Jul 9 21:16:05 2019 max relations containing the same ideal: 111
  588. Tue Jul 9 21:17:05 2019 removing 7085934 relations and 5085934 ideals in 2000000 cliques
  589. Tue Jul 9 21:17:09 2019 commencing in-memory singleton removal
  590. Tue Jul 9 21:17:18 2019 begin with 65529784 relations and 63614933 unique ideals
  591. Tue Jul 9 21:18:30 2019 reduce to 65002170 relations and 57988530 ideals in 7 passes
  592. Tue Jul 9 21:18:30 2019 max relations containing the same ideal: 105
  593. Tue Jul 9 21:19:36 2019 removing 7030455 relations and 5030455 ideals in 2000000 cliques
  594. Tue Jul 9 21:19:39 2019 commencing in-memory singleton removal
  595. Tue Jul 9 21:19:47 2019 begin with 57971715 relations and 57988530 unique ideals
  596. Tue Jul 9 21:20:52 2019 reduce to 57399836 relations and 52371030 ideals in 7 passes
  597. Tue Jul 9 21:20:52 2019 max relations containing the same ideal: 96
  598. Tue Jul 9 21:21:43 2019 removing 7001344 relations and 5001344 ideals in 2000000 cliques
  599. Tue Jul 9 21:21:47 2019 commencing in-memory singleton removal
  600. Tue Jul 9 21:21:54 2019 begin with 50398492 relations and 52371030 unique ideals
  601. Tue Jul 9 21:22:56 2019 reduce to 49763085 relations and 46715222 ideals in 8 passes
  602. Tue Jul 9 21:22:56 2019 max relations containing the same ideal: 90
  603. Tue Jul 9 21:23:41 2019 removing 6831868 relations and 4893656 ideals in 1938212 cliques
  604. Tue Jul 9 21:23:44 2019 commencing in-memory singleton removal
  605. Tue Jul 9 21:23:49 2019 begin with 42931217 relations and 46715222 unique ideals
  606. Tue Jul 9 21:24:41 2019 reduce to 42228780 relations and 41095525 ideals in 8 passes
  607. Tue Jul 9 21:24:41 2019 max relations containing the same ideal: 78
  608. Tue Jul 9 21:25:19 2019 removing 177649 relations and 154045 ideals in 23604 cliques
  609. Tue Jul 9 21:25:21 2019 commencing in-memory singleton removal
  610. Tue Jul 9 21:25:26 2019 begin with 42051131 relations and 41095525 unique ideals
  611. Tue Jul 9 21:25:51 2019 reduce to 42050641 relations and 40940989 ideals in 4 passes
  612. Tue Jul 9 21:25:51 2019 max relations containing the same ideal: 78
  613. Tue Jul 9 21:26:03 2019 relations with 0 large ideals: 36029
  614. Tue Jul 9 21:26:03 2019 relations with 1 large ideals: 20636
  615. Tue Jul 9 21:26:03 2019 relations with 2 large ideals: 251728
  616. Tue Jul 9 21:26:03 2019 relations with 3 large ideals: 1505079
  617. Tue Jul 9 21:26:03 2019 relations with 4 large ideals: 4865671
  618. Tue Jul 9 21:26:03 2019 relations with 5 large ideals: 9385741
  619. Tue Jul 9 21:26:03 2019 relations with 6 large ideals: 11307876
  620. Tue Jul 9 21:26:03 2019 relations with 7+ large ideals: 14677881
  621. Tue Jul 9 21:26:03 2019 commencing 2-way merge
  622. Tue Jul 9 21:26:49 2019 reduce to 27539424 relation sets and 26429772 unique ideals
  623. Tue Jul 9 21:26:49 2019 commencing full merge
  624. Tue Jul 9 22:09:35 2019 memory use: 1228.6 MB
  625. Tue Jul 9 22:09:35 2019 found 94113 cycles, need 6021295
  626. Tue Jul 9 22:09:35 2019 too few cycles, matrix probably cannot build
  627. Tue Jul 9 22:09:36 2019
  628. Tue Jul 9 22:09:36 2019
  629. Tue Jul 9 22:09:36 2019 Msieve v. 1.53 (SVN 993)
  630. Tue Jul 9 22:09:36 2019 random seeds: 2d519504 abb0eb37
  631. Tue Jul 9 22:09:36 2019 factoring 6735301810664568503794210854000252477106772441599446822564926208204051626999756284124125047362448914949992711740098012963879562624027126728765107919068848671544209020374621971695750563131475852678752167139934872693628291583005512800751126179 (241 digits)
  632. Tue Jul 9 22:09:38 2019 no P-1/P+1/ECM available, skipping
  633. Tue Jul 9 22:09:38 2019 commencing number field sieve (241-digit input)
  634. Tue Jul 9 22:09:38 2019 R0: 452592555681759518058893560348969204658401
  635. Tue Jul 9 22:09:38 2019 R1: -1208925819614629174706176
  636. Tue Jul 9 22:09:38 2019 A0: -4
  637. Tue Jul 9 22:09:38 2019 A1: 0
  638. Tue Jul 9 22:09:38 2019 A2: 0
  639. Tue Jul 9 22:09:38 2019 A3: 0
  640. Tue Jul 9 22:09:38 2019 A4: 0
  641. Tue Jul 9 22:09:38 2019 A5: 0
  642. Tue Jul 9 22:09:38 2019 A6: 11
  643. Tue Jul 9 22:09:38 2019 skew 0.84, size 3.003e-12, alpha 0.148, combined = 2.587e-13 rroots = 2
  644. Tue Jul 9 22:09:38 2019
  645. Tue Jul 9 22:09:38 2019 commencing relation filtering
  646. Tue Jul 9 22:09:38 2019 setting target matrix density to 122.0
  647. Tue Jul 9 22:09:38 2019 estimated available RAM is 95375.2 MB
  648. Tue Jul 9 22:09:38 2019 commencing duplicate removal, pass 1
  649. 3 errors
  650. Tue Jul 9 22:45:55 2019 skipped 5 relations with composite factors
  651. Tue Jul 9 22:45:55 2019 found 8146410 hash collisions in 192578367 relations
  652. Tue Jul 9 22:46:12 2019 commencing duplicate removal, pass 2
  653. Tue Jul 9 22:47:34 2019 found 0 duplicates and 192578367 unique relations
  654. Tue Jul 9 22:47:34 2019 memory use: 522.4 MB
  655. Tue Jul 9 22:47:34 2019 reading ideals above 720000
  656. Tue Jul 9 22:47:35 2019 commencing singleton removal, initial pass
  657. Tue Jul 9 23:28:41 2019 memory use: 5512.0 MB
  658. Tue Jul 9 23:28:41 2019 reading all ideals from disk
  659. Tue Jul 9 23:28:49 2019 memory use: 7662.1 MB
  660. Tue Jul 9 23:29:30 2019 keeping 178297408 ideals with weight <= 200, target excess is 956595
  661. Tue Jul 9 23:30:17 2019 commencing in-memory singleton removal
  662. Tue Jul 9 23:30:47 2019 begin with 192578367 relations and 178297408 unique ideals
  663. Tue Jul 9 23:37:14 2019 reduce to 126264709 relations and 105332482 ideals in 15 passes
  664. Tue Jul 9 23:37:14 2019 max relations containing the same ideal: 160
  665. Tue Jul 9 23:39:13 2019 removing 11452285 relations and 9452285 ideals in 2000000 cliques
  666. Tue Jul 9 23:39:20 2019 commencing in-memory singleton removal
  667. Tue Jul 9 23:39:39 2019 begin with 114812424 relations and 105332482 unique ideals
  668. Tue Jul 9 23:43:03 2019 reduce to 113948289 relations and 94997749 ideals in 8 passes
  669. Tue Jul 9 23:43:03 2019 max relations containing the same ideal: 150
  670. Tue Jul 9 23:44:59 2019 removing 8760913 relations and 6760913 ideals in 2000000 cliques
  671. Tue Jul 9 23:45:05 2019 commencing in-memory singleton removal
  672. Tue Jul 9 23:45:20 2019 begin with 105187376 relations and 94997749 unique ideals
  673. Tue Jul 9 23:47:30 2019 reduce to 104615771 relations and 87654854 ideals in 7 passes
  674. Tue Jul 9 23:47:30 2019 max relations containing the same ideal: 144
  675. Tue Jul 9 23:49:07 2019 removing 7957654 relations and 5957654 ideals in 2000000 cliques
  676. Tue Jul 9 23:49:13 2019 commencing in-memory singleton removal
  677. Tue Jul 9 23:49:27 2019 begin with 96658117 relations and 87654854 unique ideals
  678. Tue Jul 9 23:51:59 2019 reduce to 96148899 relations and 81178553 ideals in 8 passes
  679. Tue Jul 9 23:51:59 2019 max relations containing the same ideal: 136
  680. Tue Jul 9 23:53:34 2019 removing 7558059 relations and 5558059 ideals in 2000000 cliques
  681. Tue Jul 9 23:53:39 2019 commencing in-memory singleton removal
  682. Tue Jul 9 23:53:51 2019 begin with 88590840 relations and 81178553 unique ideals
  683. Tue Jul 9 23:55:36 2019 reduce to 88104585 relations and 75124730 ideals in 7 passes
  684. Tue Jul 9 23:55:36 2019 max relations containing the same ideal: 128
  685. Tue Jul 9 23:56:57 2019 removing 7324950 relations and 5324950 ideals in 2000000 cliques
  686. Tue Jul 9 23:57:02 2019 commencing in-memory singleton removal
  687. Tue Jul 9 23:57:13 2019 begin with 80779635 relations and 75124730 unique ideals
  688. Tue Jul 9 23:58:47 2019 reduce to 80290516 relations and 69300790 ideals in 7 passes
  689. Tue Jul 9 23:58:47 2019 max relations containing the same ideal: 121
  690. Wed Jul 10 00:00:00 2019 removing 7173274 relations and 5173274 ideals in 2000000 cliques
  691. Wed Jul 10 00:00:04 2019 commencing in-memory singleton removal
  692. Wed Jul 10 00:00:14 2019 begin with 73117242 relations and 69300790 unique ideals
  693. Wed Jul 10 00:01:37 2019 reduce to 72615718 relations and 63614933 ideals in 7 passes
  694. Wed Jul 10 00:01:37 2019 max relations containing the same ideal: 111
  695. Wed Jul 10 00:02:40 2019 removing 7085934 relations and 5085934 ideals in 2000000 cliques
  696. Wed Jul 10 00:02:44 2019 commencing in-memory singleton removal
  697. Wed Jul 10 00:02:53 2019 begin with 65529784 relations and 63614933 unique ideals
  698. Wed Jul 10 00:04:07 2019 reduce to 65002170 relations and 57988530 ideals in 7 passes
  699. Wed Jul 10 00:04:07 2019 max relations containing the same ideal: 105
  700. Wed Jul 10 00:05:04 2019 removing 7030455 relations and 5030455 ideals in 2000000 cliques
  701. Wed Jul 10 00:05:08 2019 commencing in-memory singleton removal
  702. Wed Jul 10 00:05:16 2019 begin with 57971715 relations and 57988530 unique ideals
  703. Wed Jul 10 00:06:19 2019 reduce to 57399836 relations and 52371030 ideals in 7 passes
  704. Wed Jul 10 00:06:19 2019 max relations containing the same ideal: 96
  705. Wed Jul 10 00:07:10 2019 removing 7001344 relations and 5001344 ideals in 2000000 cliques
  706. Wed Jul 10 00:07:14 2019 commencing in-memory singleton removal
  707. Wed Jul 10 00:07:20 2019 begin with 50398492 relations and 52371030 unique ideals
  708. Wed Jul 10 00:08:23 2019 reduce to 49763085 relations and 46715222 ideals in 8 passes
  709. Wed Jul 10 00:08:23 2019 max relations containing the same ideal: 90
  710. Wed Jul 10 00:09:07 2019 removing 6831868 relations and 4893656 ideals in 1938212 cliques
  711. Wed Jul 10 00:09:10 2019 commencing in-memory singleton removal
  712. Wed Jul 10 00:09:16 2019 begin with 42931217 relations and 46715222 unique ideals
  713. Wed Jul 10 00:10:07 2019 reduce to 42228780 relations and 41095525 ideals in 8 passes
  714. Wed Jul 10 00:10:07 2019 max relations containing the same ideal: 78
  715. Wed Jul 10 00:10:45 2019 removing 177649 relations and 154045 ideals in 23604 cliques
  716. Wed Jul 10 00:10:47 2019 commencing in-memory singleton removal
  717. Wed Jul 10 00:10:52 2019 begin with 42051131 relations and 41095525 unique ideals
  718. Wed Jul 10 00:11:18 2019 reduce to 42050641 relations and 40940989 ideals in 4 passes
  719. Wed Jul 10 00:11:18 2019 max relations containing the same ideal: 78
  720. Wed Jul 10 00:11:31 2019 relations with 0 large ideals: 36029
  721. Wed Jul 10 00:11:31 2019 relations with 1 large ideals: 20636
  722. Wed Jul 10 00:11:31 2019 relations with 2 large ideals: 251728
  723. Wed Jul 10 00:11:31 2019 relations with 3 large ideals: 1505079
  724. Wed Jul 10 00:11:31 2019 relations with 4 large ideals: 4865671
  725. Wed Jul 10 00:11:31 2019 relations with 5 large ideals: 9385741
  726. Wed Jul 10 00:11:31 2019 relations with 6 large ideals: 11307876
  727. Wed Jul 10 00:11:31 2019 relations with 7+ large ideals: 14677881
  728. Wed Jul 10 00:11:31 2019 commencing 2-way merge
  729. Wed Jul 10 00:12:17 2019 reduce to 27539424 relation sets and 26429772 unique ideals
  730. Wed Jul 10 00:12:17 2019 commencing full merge
  731. Wed Jul 10 00:36:19 2019 memory use: 3431.9 MB
  732. Wed Jul 10 00:36:24 2019 found 12145221 cycles, need 12141971
  733. Wed Jul 10 00:36:32 2019 weight of 12141971 cycles is about 1482058566 (122.06/cycle)
  734. Wed Jul 10 00:36:32 2019 distribution of cycle lengths:
  735. Wed Jul 10 00:36:32 2019 1 relations: 527647
  736. Wed Jul 10 00:36:32 2019 2 relations: 730958
  737. Wed Jul 10 00:36:32 2019 3 relations: 846437
  738. Wed Jul 10 00:36:32 2019 4 relations: 865052
  739. Wed Jul 10 00:36:32 2019 5 relations: 872350
  740. Wed Jul 10 00:36:32 2019 6 relations: 854320
  741. Wed Jul 10 00:36:32 2019 7 relations: 835151
  742. Wed Jul 10 00:36:32 2019 8 relations: 794875
  743. Wed Jul 10 00:36:32 2019 9 relations: 747144
  744. Wed Jul 10 00:36:32 2019 10+ relations: 5068037
  745. Wed Jul 10 00:36:32 2019 heaviest cycle: 28 relations
  746. Wed Jul 10 00:36:39 2019 commencing cycle optimization
  747. Wed Jul 10 00:37:24 2019 start with 111761156 relations
  748. Wed Jul 10 00:46:18 2019 pruned 5273534 relations
  749. Wed Jul 10 00:46:18 2019 memory use: 2887.3 MB
  750. Wed Jul 10 00:46:18 2019 distribution of cycle lengths:
  751. Wed Jul 10 00:46:18 2019 1 relations: 527647
  752. Wed Jul 10 00:46:18 2019 2 relations: 750073
  753. Wed Jul 10 00:46:18 2019 3 relations: 884282
  754. Wed Jul 10 00:46:18 2019 4 relations: 902153
  755. Wed Jul 10 00:46:18 2019 5 relations: 916648
  756. Wed Jul 10 00:46:18 2019 6 relations: 896510
  757. Wed Jul 10 00:46:18 2019 7 relations: 877806
  758. Wed Jul 10 00:46:18 2019 8 relations: 831747
  759. Wed Jul 10 00:46:18 2019 9 relations: 781683
  760. Wed Jul 10 00:46:18 2019 10+ relations: 4773422
  761. Wed Jul 10 00:46:18 2019 heaviest cycle: 28 relations
  762. Wed Jul 10 00:47:02 2019 RelProcTime: 9444
  763. Wed Jul 10 00:47:02 2019 elapsed time 02:37:26
  764. Wed Jul 10 00:47:03 2019
  765. Wed Jul 10 00:47:03 2019
  766. Wed Jul 10 00:47:03 2019 Msieve v. 1.53 (SVN 993)
  767. Wed Jul 10 00:47:03 2019 random seeds: 704e36b9 472e89d3
  768. Wed Jul 10 00:47:03 2019 factoring 6735301810664568503794210854000252477106772441599446822564926208204051626999756284124125047362448914949992711740098012963879562624027126728765107919068848671544209020374621971695750563131475852678752167139934872693628291583005512800751126179 (241 digits)
  769. Wed Jul 10 00:47:05 2019 no P-1/P+1/ECM available, skipping
  770. Wed Jul 10 00:47:05 2019 commencing number field sieve (241-digit input)
  771. Wed Jul 10 00:47:05 2019 R0: 452592555681759518058893560348969204658401
  772. Wed Jul 10 00:47:05 2019 R1: -1208925819614629174706176
  773. Wed Jul 10 00:47:05 2019 A0: -4
  774. Wed Jul 10 00:47:05 2019 A1: 0
  775. Wed Jul 10 00:47:05 2019 A2: 0
  776. Wed Jul 10 00:47:05 2019 A3: 0
  777. Wed Jul 10 00:47:05 2019 A4: 0
  778. Wed Jul 10 00:47:05 2019 A5: 0
  779. Wed Jul 10 00:47:05 2019 A6: 11
  780. Wed Jul 10 00:47:05 2019 skew 0.84, size 3.003e-12, alpha 0.148, combined = 2.587e-13 rroots = 2
  781. Wed Jul 10 00:47:05 2019
  782. Wed Jul 10 00:47:05 2019 commencing relation filtering
  783. Wed Jul 10 00:47:05 2019 setting target matrix density to 124.0
  784. Wed Jul 10 00:47:05 2019 estimated available RAM is 95375.2 MB
  785. Wed Jul 10 00:47:05 2019 commencing duplicate removal, pass 1
  786. 3 errors
  787. Wed Jul 10 01:24:46 2019 skipped 5 relations with composite factors
  788. Wed Jul 10 01:24:46 2019 found 8146410 hash collisions in 192578367 relations
  789. Wed Jul 10 01:25:04 2019 commencing duplicate removal, pass 2
  790. Wed Jul 10 01:26:34 2019 found 0 duplicates and 192578367 unique relations
  791. Wed Jul 10 01:26:34 2019 memory use: 522.4 MB
  792. Wed Jul 10 01:26:34 2019 reading ideals above 720000
  793. Wed Jul 10 01:26:35 2019 commencing singleton removal, initial pass
  794. Wed Jul 10 02:11:10 2019 memory use: 5512.0 MB
  795. Wed Jul 10 02:11:10 2019 reading all ideals from disk
  796. Wed Jul 10 02:11:18 2019 memory use: 7662.1 MB
  797. Wed Jul 10 02:12:00 2019 keeping 178297408 ideals with weight <= 200, target excess is 956595
  798. Wed Jul 10 02:12:49 2019 commencing in-memory singleton removal
  799. Wed Jul 10 02:13:18 2019 begin with 192578367 relations and 178297408 unique ideals
  800. Wed Jul 10 02:19:31 2019 reduce to 126264709 relations and 105332482 ideals in 15 passes
  801. Wed Jul 10 02:19:31 2019 max relations containing the same ideal: 160
  802. Wed Jul 10 02:21:18 2019 removing 11452285 relations and 9452285 ideals in 2000000 cliques
  803. Wed Jul 10 02:21:25 2019 commencing in-memory singleton removal
  804. Wed Jul 10 02:21:42 2019 begin with 114812424 relations and 105332482 unique ideals
  805. Wed Jul 10 02:24:26 2019 reduce to 113948289 relations and 94997749 ideals in 8 passes
  806. Wed Jul 10 02:24:26 2019 max relations containing the same ideal: 150
  807. Wed Jul 10 02:26:09 2019 removing 8760913 relations and 6760913 ideals in 2000000 cliques
  808. Wed Jul 10 02:26:15 2019 commencing in-memory singleton removal
  809. Wed Jul 10 02:26:30 2019 begin with 105187376 relations and 94997749 unique ideals
  810. Wed Jul 10 02:28:38 2019 reduce to 104615771 relations and 87654854 ideals in 7 passes
  811. Wed Jul 10 02:28:38 2019 max relations containing the same ideal: 144
  812. Wed Jul 10 02:30:15 2019 removing 7957654 relations and 5957654 ideals in 2000000 cliques
  813. Wed Jul 10 02:30:20 2019 commencing in-memory singleton removal
  814. Wed Jul 10 02:30:34 2019 begin with 96658117 relations and 87654854 unique ideals
  815. Wed Jul 10 02:32:46 2019 reduce to 96148899 relations and 81178553 ideals in 8 passes
  816. Wed Jul 10 02:32:46 2019 max relations containing the same ideal: 136
  817. Wed Jul 10 02:34:13 2019 removing 7558059 relations and 5558059 ideals in 2000000 cliques
  818. Wed Jul 10 02:34:18 2019 commencing in-memory singleton removal
  819. Wed Jul 10 02:34:30 2019 begin with 88590840 relations and 81178553 unique ideals
  820. Wed Jul 10 02:36:14 2019 reduce to 88104585 relations and 75124730 ideals in 7 passes
  821. Wed Jul 10 02:36:14 2019 max relations containing the same ideal: 128
  822. Wed Jul 10 02:37:35 2019 removing 7324950 relations and 5324950 ideals in 2000000 cliques
  823. Wed Jul 10 02:37:40 2019 commencing in-memory singleton removal
  824. Wed Jul 10 02:37:50 2019 begin with 80779635 relations and 75124730 unique ideals
  825. Wed Jul 10 02:39:23 2019 reduce to 80290516 relations and 69300790 ideals in 7 passes
  826. Wed Jul 10 02:39:23 2019 max relations containing the same ideal: 121
  827. Wed Jul 10 02:40:39 2019 removing 7173274 relations and 5173274 ideals in 2000000 cliques
  828. Wed Jul 10 02:40:44 2019 commencing in-memory singleton removal
  829. Wed Jul 10 02:40:53 2019 begin with 73117242 relations and 69300790 unique ideals
  830. Wed Jul 10 02:42:16 2019 reduce to 72615718 relations and 63614933 ideals in 7 passes
  831. Wed Jul 10 02:42:16 2019 max relations containing the same ideal: 111
  832. Wed Jul 10 02:43:28 2019 removing 7085934 relations and 5085934 ideals in 2000000 cliques
  833. Wed Jul 10 02:43:33 2019 commencing in-memory singleton removal
  834. Wed Jul 10 02:43:41 2019 begin with 65529784 relations and 63614933 unique ideals
  835. Wed Jul 10 02:44:55 2019 reduce to 65002170 relations and 57988530 ideals in 7 passes
  836. Wed Jul 10 02:44:55 2019 max relations containing the same ideal: 105
  837. Wed Jul 10 02:45:56 2019 removing 7030455 relations and 5030455 ideals in 2000000 cliques
  838. Wed Jul 10 02:46:00 2019 commencing in-memory singleton removal
  839. Wed Jul 10 02:46:08 2019 begin with 57971715 relations and 57988530 unique ideals
  840. Wed Jul 10 02:47:11 2019 reduce to 57399836 relations and 52371030 ideals in 7 passes
  841. Wed Jul 10 02:47:11 2019 max relations containing the same ideal: 96
  842. Wed Jul 10 02:48:05 2019 removing 7001344 relations and 5001344 ideals in 2000000 cliques
  843. Wed Jul 10 02:48:09 2019 commencing in-memory singleton removal
  844. Wed Jul 10 02:48:15 2019 begin with 50398492 relations and 52371030 unique ideals
  845. Wed Jul 10 02:49:17 2019 reduce to 49763085 relations and 46715222 ideals in 8 passes
  846. Wed Jul 10 02:49:17 2019 max relations containing the same ideal: 90
  847. Wed Jul 10 02:50:05 2019 removing 6831868 relations and 4893656 ideals in 1938212 cliques
  848. Wed Jul 10 02:50:09 2019 commencing in-memory singleton removal
  849. Wed Jul 10 02:50:14 2019 begin with 42931217 relations and 46715222 unique ideals
  850. Wed Jul 10 02:51:05 2019 reduce to 42228780 relations and 41095525 ideals in 8 passes
  851. Wed Jul 10 02:51:05 2019 max relations containing the same ideal: 78
  852. Wed Jul 10 02:51:44 2019 removing 177649 relations and 154045 ideals in 23604 cliques
  853. Wed Jul 10 02:51:46 2019 commencing in-memory singleton removal
  854. Wed Jul 10 02:51:51 2019 begin with 42051131 relations and 41095525 unique ideals
  855. Wed Jul 10 02:52:16 2019 reduce to 42050641 relations and 40940989 ideals in 4 passes
  856. Wed Jul 10 02:52:16 2019 max relations containing the same ideal: 78
  857. Wed Jul 10 02:52:28 2019 relations with 0 large ideals: 36029
  858. Wed Jul 10 02:52:28 2019 relations with 1 large ideals: 20636
  859. Wed Jul 10 02:52:28 2019 relations with 2 large ideals: 251728
  860. Wed Jul 10 02:52:28 2019 relations with 3 large ideals: 1505079
  861. Wed Jul 10 02:52:28 2019 relations with 4 large ideals: 4865671
  862. Wed Jul 10 02:52:28 2019 relations with 5 large ideals: 9385741
  863. Wed Jul 10 02:52:28 2019 relations with 6 large ideals: 11307876
  864. Wed Jul 10 02:52:28 2019 relations with 7+ large ideals: 14677881
  865. Wed Jul 10 02:52:28 2019 commencing 2-way merge
  866. Wed Jul 10 02:53:22 2019 reduce to 27539424 relation sets and 26429772 unique ideals
  867. Wed Jul 10 02:53:22 2019 commencing full merge
  868. Wed Jul 10 03:37:03 2019 memory use: 1228.6 MB
  869. Wed Jul 10 03:37:03 2019 found 94113 cycles, need 6021295
  870. Wed Jul 10 03:37:03 2019 too few cycles, matrix probably cannot build
  871. Fri Jul 12 18:14:35 2019
  872. Fri Jul 12 18:14:35 2019
  873. Fri Jul 12 18:14:35 2019 Msieve v. 1.54 (SVN 1022M)
  874. Fri Jul 12 18:14:35 2019 random seeds: fb30d617 c571151a
  875. Fri Jul 12 18:14:35 2019 factoring 6735301810664568503794210854000252477106772441599446822564926208204051626999756284124125047362448914949992711740098012963879562624027126728765107919068848671544209020374621971695750563131475852678752167139934872693628291583005512800751126179 (241 digits)
  876. Fri Jul 12 18:14:36 2019 no P-1/P+1/ECM available, skipping
  877. Fri Jul 12 18:14:36 2019 commencing number field sieve (241-digit input)
  878. Fri Jul 12 18:14:36 2019 R0: 452592555681759518058893560348969204658401
  879. Fri Jul 12 18:14:36 2019 R1: -1208925819614629174706176
  880. Fri Jul 12 18:14:36 2019 A0: -4
  881. Fri Jul 12 18:14:36 2019 A1: 0
  882. Fri Jul 12 18:14:36 2019 A2: 0
  883. Fri Jul 12 18:14:36 2019 A3: 0
  884. Fri Jul 12 18:14:36 2019 A4: 0
  885. Fri Jul 12 18:14:36 2019 A5: 0
  886. Fri Jul 12 18:14:36 2019 A6: 11
  887. Fri Jul 12 18:14:36 2019 skew 0.84, size 3.003e-12, alpha 0.148, combined = 2.587e-13 rroots = 2
  888. Fri Jul 12 18:14:36 2019
  889. Fri Jul 12 18:14:36 2019 commencing linear algebra
  890. Fri Jul 12 18:14:37 2019 read 12141971 cycles
  891. Fri Jul 12 18:14:53 2019 cycles contain 41404780 unique relations
  892. Fri Jul 12 18:17:17 2019 read 41404780 relations
  893. Fri Jul 12 18:18:25 2019 using 20 quadratic characters above 4294917295
  894. Fri Jul 12 18:20:49 2019 building initial matrix
  895. Fri Jul 12 18:27:51 2019 memory use: 5280.2 MB
  896. Fri Jul 12 18:27:55 2019 read 12141971 cycles
  897. Fri Jul 12 18:27:56 2019 matrix is 12141794 x 12141971 (5803.2 MB) with weight 1677361669 (138.15/col)
  898. Fri Jul 12 18:27:56 2019 sparse part has weight 1387720145 (114.29/col)
  899. Fri Jul 12 18:30:15 2019 filtering completed in 2 passes
  900. Fri Jul 12 18:30:17 2019 matrix is 12141692 x 12141869 (5803.2 MB) with weight 1677358333 (138.15/col)
  901. Fri Jul 12 18:30:17 2019 sparse part has weight 1387719341 (114.29/col)
  902. Fri Jul 12 18:31:16 2019 matrix starts at (0, 0)
  903. Fri Jul 12 18:31:17 2019 matrix is 12141692 x 12141869 (5803.2 MB) with weight 1677358333 (138.15/col)
  904. Fri Jul 12 18:31:17 2019 sparse part has weight 1387719341 (114.29/col)
  905. Fri Jul 12 18:31:17 2019 saving the first 112 matrix rows for later
  906. Fri Jul 12 18:31:19 2019 matrix includes 128 packed rows
  907. Fri Jul 12 18:31:21 2019 matrix is 12141580 x 12141869 (5380.6 MB) with weight 1340210148 (110.38/col)
  908. Fri Jul 12 18:31:21 2019 sparse part has weight 1264790598 (104.17/col)
  909. Fri Jul 12 18:31:21 2019 using block size 8192 and superblock size 393216 for processor cache size 8192 kB
  910. Fri Jul 12 18:31:46 2019 commencing Lanczos iteration (4 threads)
  911. Fri Jul 12 18:31:46 2019 memory use: 5933.0 MB
  912. Fri Jul 12 18:32:52 2019 linear algebra at 0.0%, ETA 134h53m
  913. Fri Jul 12 18:33:12 2019 checkpointing every 100000 dimensions
  914. Tue Jul 16 10:36:18 2019 lanczos halted after 95427 iterations (dim = 12141580)
  915. Tue Jul 16 10:36:35 2019 recovered 39 nontrivial dependencies
  916. Tue Jul 16 10:36:35 2019 BLanczosTime: 318119
  917. Tue Jul 16 10:36:35 2019 elapsed time 88:22:00
  918. Tue Jul 16 10:36:35 2019
  919. Tue Jul 16 10:36:35 2019
  920. Tue Jul 16 10:36:35 2019 Msieve v. 1.54 (SVN 1022M)
  921. Tue Jul 16 10:36:35 2019 random seeds: 992d255e 9a9a93d9
  922. Tue Jul 16 10:36:35 2019 factoring 6735301810664568503794210854000252477106772441599446822564926208204051626999756284124125047362448914949992711740098012963879562624027126728765107919068848671544209020374621971695750563131475852678752167139934872693628291583005512800751126179 (241 digits)
  923. Tue Jul 16 10:36:36 2019 no P-1/P+1/ECM available, skipping
  924. Tue Jul 16 10:36:36 2019 commencing number field sieve (241-digit input)
  925. Tue Jul 16 10:36:36 2019 R0: 452592555681759518058893560348969204658401
  926. Tue Jul 16 10:36:36 2019 R1: -1208925819614629174706176
  927. Tue Jul 16 10:36:36 2019 A0: -4
  928. Tue Jul 16 10:36:36 2019 A1: 0
  929. Tue Jul 16 10:36:36 2019 A2: 0
  930. Tue Jul 16 10:36:36 2019 A3: 0
  931. Tue Jul 16 10:36:36 2019 A4: 0
  932. Tue Jul 16 10:36:36 2019 A5: 0
  933. Tue Jul 16 10:36:36 2019 A6: 11
  934. Tue Jul 16 10:36:36 2019 skew 0.84, size 3.003e-12, alpha 0.148, combined = 2.587e-13 rroots = 2
  935. Tue Jul 16 10:36:36 2019
  936. Tue Jul 16 10:36:36 2019 commencing square root phase
  937. Tue Jul 16 10:36:36 2019 reading relations for dependency 1
  938. Tue Jul 16 10:36:36 2019 read 6071167 cycles
  939. Tue Jul 16 10:36:45 2019 cycles contain 20701650 unique relations
  940. Tue Jul 16 10:38:00 2019 read 20701650 relations
  941. Tue Jul 16 10:39:07 2019 multiplying 20701650 relations
  942. Tue Jul 16 10:52:34 2019 multiply complete, coefficients have about 586.98 million bits
  943. Tue Jul 16 10:52:35 2019 initial square root is modulo 184567
  944. Tue Jul 16 11:06:48 2019 GCD is N, no factor found
  945. Tue Jul 16 11:06:48 2019 reading relations for dependency 2
  946. Tue Jul 16 11:06:49 2019 read 6069657 cycles
  947. Tue Jul 16 11:06:57 2019 cycles contain 20701162 unique relations
  948. Tue Jul 16 11:08:12 2019 read 20701162 relations
  949. Tue Jul 16 11:09:16 2019 multiplying 20701162 relations
  950. Tue Jul 16 11:22:53 2019 multiply complete, coefficients have about 586.97 million bits
  951. Tue Jul 16 11:22:54 2019 initial square root is modulo 184567
  952. Tue Jul 16 11:37:33 2019 GCD is N, no factor found
  953. Tue Jul 16 11:37:33 2019 reading relations for dependency 3
  954. Tue Jul 16 11:37:35 2019 read 6074573 cycles
  955. Tue Jul 16 11:37:46 2019 cycles contain 20708262 unique relations
  956. Tue Jul 16 11:39:13 2019 read 20708262 relations
  957. Tue Jul 16 11:40:53 2019 multiplying 20708262 relations
  958. Tue Jul 16 11:58:13 2019 multiply complete, coefficients have about 587.16 million bits
  959. Tue Jul 16 11:58:15 2019 initial square root is modulo 185299
  960. Tue Jul 16 12:17:24 2019 sqrtTime: 6048
  961. Tue Jul 16 12:17:24 2019 p81 factor: 301173663591011981702459592937500069687148929453759118435772328764749977349309657
  962. Tue Jul 16 12:17:24 2019 p161 factor: 22363515223598628720938528891665396897518826441414996942606123583370915836131172930865697150339547925226853527820061658889322372469223124458917446020040006633947
  963. Tue Jul 16 12:17:24 2019 elapsed time 01:40:49
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